1,1,98,45,0.050000," ","int(x^m*(B*x+A)*(c*x^2+b*x),x)","\frac{\left(B c \,m^{2} x^{2}+A c \,m^{2} x +B b \,m^{2} x +5 B c m \,x^{2}+A b \,m^{2}+6 A c m x +6 B b m x +6 B c \,x^{2}+7 A b m +8 A c x +8 B b x +12 A b \right) x^{m +2}}{\left(m +4\right) \left(m +3\right) \left(m +2\right)}"," ",0,"x^(m+2)*(B*c*m^2*x^2+A*c*m^2*x+B*b*m^2*x+5*B*c*m*x^2+A*b*m^2+6*A*c*m*x+6*B*b*m*x+6*B*c*x^2+7*A*b*m+8*A*c*x+8*B*b*x+12*A*b)/(m+4)/(m+3)/(m+2)","B"
2,1,28,27,0.049000," ","int(x^3*(B*x+A)*(c*x^2+b*x),x)","\frac{B c \,x^{7}}{7}+\frac{A b \,x^{5}}{5}+\frac{\left(A c +b B \right) x^{6}}{6}"," ",0,"1/5*A*b*x^5+1/6*(A*c+B*b)*x^6+1/7*B*c*x^7","A"
3,1,28,27,0.047000," ","int(x^2*(B*x+A)*(c*x^2+b*x),x)","\frac{B c \,x^{6}}{6}+\frac{A b \,x^{4}}{4}+\frac{\left(A c +b B \right) x^{5}}{5}"," ",0,"1/4*A*b*x^4+1/5*(A*c+B*b)*x^5+1/6*B*c*x^6","A"
4,1,28,27,0.045000," ","int(x*(B*x+A)*(c*x^2+b*x),x)","\frac{B c \,x^{5}}{5}+\frac{A b \,x^{3}}{3}+\frac{\left(A c +b B \right) x^{4}}{4}"," ",0,"1/3*A*b*x^3+1/4*(A*c+B*b)*x^4+1/5*B*c*x^5","A"
5,1,28,27,0.042000," ","int((B*x+A)*(c*x^2+b*x),x)","\frac{B c \,x^{4}}{4}+\frac{A b \,x^{2}}{2}+\frac{\left(A c +b B \right) x^{3}}{3}"," ",0,"1/2*A*b*x^2+1/3*(A*c+B*b)*x^3+1/4*B*c*x^4","A"
6,1,25,24,0.049000," ","int((B*x+A)*(c*x^2+b*x)/x,x)","\frac{B c \,x^{3}}{3}+A b x +\frac{\left(A c +b B \right) x^{2}}{2}"," ",0,"A*b*x+1/2*(A*c+B*b)*x^2+1/3*B*c*x^3","A"
7,1,22,22,0.043000," ","int((B*x+A)*(c*x^2+b*x)/x^2,x)","\frac{B c \,x^{2}}{2}+A b \ln \left(x \right)+A c x +B b x"," ",0,"1/2*B*c*x^2+A*c*x+B*b*x+A*b*ln(x)","A"
8,1,23,22,0.049000," ","int((B*x+A)*(c*x^2+b*x)/x^3,x)","A c \ln \left(x \right)+B b \ln \left(x \right)+B c x -\frac{A b}{x}"," ",0,"B*c*x-A*b/x+A*c*ln(x)+B*b*ln(x)","A"
9,1,28,26,0.052000," ","int((B*x+A)*(c*x^2+b*x)/x^4,x)","B c \ln \left(x \right)-\frac{A c}{x}-\frac{B b}{x}-\frac{A b}{2 x^{2}}"," ",0,"-1/2*A*b/x^2-1/x*A*c-1/x*b*B+B*c*ln(x)","A"
10,1,28,29,0.046000," ","int((B*x+A)*(c*x^2+b*x)/x^5,x)","-\frac{B c}{x}-\frac{A b}{3 x^{3}}-\frac{A c +b B}{2 x^{2}}"," ",0,"-1/3*A*b/x^3-1/2*(A*c+B*b)/x^2-B*c/x","A"
11,1,28,29,0.046000," ","int((B*x+A)*(c*x^2+b*x)/x^6,x)","-\frac{B c}{2 x^{2}}-\frac{A b}{4 x^{4}}-\frac{A c +b B}{3 x^{3}}"," ",0,"-1/4*A*b/x^4-1/3*(A*c+B*b)/x^3-1/2*B*c/x^2","A"
12,1,28,29,0.050000," ","int((B*x+A)*(c*x^2+b*x)/x^7,x)","-\frac{B c}{3 x^{3}}-\frac{A b}{5 x^{5}}-\frac{A c +b B}{4 x^{4}}"," ",0,"-1/5*A*b/x^5-1/4*(A*c+B*b)/x^4-1/3*B*c/x^3","A"
13,1,28,29,0.054000," ","int((B*x+A)*(c*x^2+b*x)/x^8,x)","-\frac{B c}{4 x^{4}}-\frac{A b}{6 x^{6}}-\frac{A c +b B}{5 x^{5}}"," ",0,"-1/5*(A*c+B*b)/x^5-1/4*B*c/x^4-1/6*A*b/x^6","A"
14,1,246,71,0.057000," ","int(x^m*(B*x+A)*(c*x^2+b*x)^2,x)","\frac{\left(B \,c^{2} m^{3} x^{3}+A \,c^{2} m^{3} x^{2}+2 B b c \,m^{3} x^{2}+12 B \,c^{2} m^{2} x^{3}+2 A b c \,m^{3} x +13 A \,c^{2} m^{2} x^{2}+B \,b^{2} m^{3} x +26 B b c \,m^{2} x^{2}+47 B \,c^{2} m \,x^{3}+A \,b^{2} m^{3}+28 A b c \,m^{2} x +54 A \,c^{2} m \,x^{2}+14 B \,b^{2} m^{2} x +108 B b c m \,x^{2}+60 B \,c^{2} x^{3}+15 A \,b^{2} m^{2}+126 A b c m x +72 A \,c^{2} x^{2}+63 B \,b^{2} m x +144 B b c \,x^{2}+74 A \,b^{2} m +180 A b c x +90 B \,b^{2} x +120 A \,b^{2}\right) x^{m +3}}{\left(m +6\right) \left(m +5\right) \left(m +4\right) \left(m +3\right)}"," ",0,"x^(m+3)*(B*c^2*m^3*x^3+A*c^2*m^3*x^2+2*B*b*c*m^3*x^2+12*B*c^2*m^2*x^3+2*A*b*c*m^3*x+13*A*c^2*m^2*x^2+B*b^2*m^3*x+26*B*b*c*m^2*x^2+47*B*c^2*m*x^3+A*b^2*m^3+28*A*b*c*m^2*x+54*A*c^2*m*x^2+14*B*b^2*m^2*x+108*B*b*c*m*x^2+60*B*c^2*x^3+15*A*b^2*m^2+126*A*b*c*m*x+72*A*c^2*x^2+63*B*b^2*m*x+144*B*b*c*x^2+74*A*b^2*m+180*A*b*c*x+90*B*b^2*x+120*A*b^2)/(m+6)/(m+5)/(m+4)/(m+3)","B"
15,1,52,47,0.046000," ","int(x^3*(B*x+A)*(c*x^2+b*x)^2,x)","\frac{B \,c^{2} x^{9}}{9}+\frac{A \,b^{2} x^{6}}{6}+\frac{\left(A \,c^{2}+2 b B c \right) x^{8}}{8}+\frac{\left(2 A b c +b^{2} B \right) x^{7}}{7}"," ",0,"1/9*B*c^2*x^9+1/8*(A*c^2+2*B*b*c)*x^8+1/7*(2*A*b*c+B*b^2)*x^7+1/6*A*b^2*x^6","A"
16,1,52,47,0.047000," ","int(x^2*(B*x+A)*(c*x^2+b*x)^2,x)","\frac{B \,c^{2} x^{8}}{8}+\frac{A \,b^{2} x^{5}}{5}+\frac{\left(A \,c^{2}+2 b B c \right) x^{7}}{7}+\frac{\left(2 A b c +b^{2} B \right) x^{6}}{6}"," ",0,"1/8*B*c^2*x^8+1/7*(A*c^2+2*B*b*c)*x^7+1/6*(2*A*b*c+B*b^2)*x^6+1/5*A*b^2*x^5","A"
17,1,52,47,0.046000," ","int(x*(B*x+A)*(c*x^2+b*x)^2,x)","\frac{B \,c^{2} x^{7}}{7}+\frac{A \,b^{2} x^{4}}{4}+\frac{\left(A \,c^{2}+2 b B c \right) x^{6}}{6}+\frac{\left(2 A b c +b^{2} B \right) x^{5}}{5}"," ",0,"1/7*B*c^2*x^7+1/6*(A*c^2+2*B*b*c)*x^6+1/5*(2*A*b*c+B*b^2)*x^5+1/4*A*b^2*x^4","A"
18,1,52,47,0.043000," ","int((B*x+A)*(c*x^2+b*x)^2,x)","\frac{B \,c^{2} x^{6}}{6}+\frac{A \,b^{2} x^{3}}{3}+\frac{\left(A \,c^{2}+2 b B c \right) x^{5}}{5}+\frac{\left(2 A b c +b^{2} B \right) x^{4}}{4}"," ",0,"1/6*B*c^2*x^6+1/5*(A*c^2+2*B*b*c)*x^5+1/4*(2*A*b*c+B*b^2)*x^4+1/3*A*b^2*x^3","A"
19,1,52,47,0.045000," ","int((B*x+A)*(c*x^2+b*x)^2/x,x)","\frac{B \,c^{2} x^{5}}{5}+\frac{A \,b^{2} x^{2}}{2}+\frac{\left(A \,c^{2}+2 b B c \right) x^{4}}{4}+\frac{\left(2 A b c +b^{2} B \right) x^{3}}{3}"," ",0,"1/5*B*c^2*x^5+1/4*(A*c^2+2*B*b*c)*x^4+1/3*(2*A*b*c+B*b^2)*x^3+1/2*A*b^2*x^2","A"
20,1,49,34,0.042000," ","int((B*x+A)*(c*x^2+b*x)^2/x^2,x)","\frac{B \,c^{2} x^{4}}{4}+A \,b^{2} x +\frac{\left(A \,c^{2}+2 b B c \right) x^{3}}{3}+\frac{\left(2 A b c +b^{2} B \right) x^{2}}{2}"," ",0,"1/4*B*c^2*x^4+1/3*(A*c^2+2*B*b*c)*x^3+1/2*(2*A*b*c+B*b^2)*x^2+A*b^2*x","A"
21,1,46,42,0.046000," ","int((B*x+A)*(c*x^2+b*x)^2/x^3,x)","\frac{B \,c^{2} x^{3}}{3}+\frac{A \,c^{2} x^{2}}{2}+B b c \,x^{2}+A \,b^{2} \ln \left(x \right)+2 A b c x +B \,b^{2} x"," ",0,"1/3*B*c^2*x^3+1/2*A*c^2*x^2+B*b*c*x^2+2*A*b*c*x+B*b^2*x+A*b^2*ln(x)","A"
22,1,46,42,0.052000," ","int((B*x+A)*(c*x^2+b*x)^2/x^4,x)","\frac{B \,c^{2} x^{2}}{2}+2 A b c \ln \left(x \right)+A \,c^{2} x +B \,b^{2} \ln \left(x \right)+2 B b c x -\frac{A \,b^{2}}{x}"," ",0,"1/2*B*c^2*x^2+A*c^2*x+2*b*B*c*x-A*b^2/x+2*A*ln(x)*b*c+b^2*B*ln(x)","A"
23,1,48,42,0.053000," ","int((B*x+A)*(c*x^2+b*x)^2/x^5,x)","A \,c^{2} \ln \left(x \right)+2 B b c \ln \left(x \right)+B \,c^{2} x -\frac{2 A b c}{x}-\frac{B \,b^{2}}{x}-\frac{A \,b^{2}}{2 x^{2}}"," ",0,"B*c^2*x-1/2*A*b^2/x^2-2*b/x*A*c-b^2/x*B+A*ln(x)*c^2+2*B*ln(x)*b*c","A"
24,1,52,45,0.049000," ","int((B*x+A)*(c*x^2+b*x)^2/x^6,x)","B \,c^{2} \ln \left(x \right)-\frac{A \,c^{2}}{x}-\frac{2 B b c}{x}-\frac{A b c}{x^{2}}-\frac{B \,b^{2}}{2 x^{2}}-\frac{A \,b^{2}}{3 x^{3}}"," ",0,"-1/3*A*b^2/x^3-b/x^2*A*c-1/2*b^2*B/x^2-c^2/x*A-2*c/x*b*B+B*c^2*ln(x)","A"
25,1,48,47,0.051000," ","int((B*x+A)*(c*x^2+b*x)^2/x^7,x)","-\frac{B \,c^{2}}{x}-\frac{A \,b^{2}}{4 x^{4}}-\frac{\left(A c +2 b B \right) c}{2 x^{2}}-\frac{\left(2 A c +b B \right) b}{3 x^{3}}"," ",0,"-1/4*A*b^2/x^4-1/3*(2*A*c+B*b)*b/x^3-1/2*c*(A*c+2*B*b)/x^2-B*c^2/x","A"
26,1,48,47,0.046000," ","int((B*x+A)*(c*x^2+b*x)^2/x^8,x)","-\frac{B \,c^{2}}{2 x^{2}}-\frac{A \,b^{2}}{5 x^{5}}-\frac{\left(A c +2 b B \right) c}{3 x^{3}}-\frac{\left(2 A c +b B \right) b}{4 x^{4}}"," ",0,"-1/5*A*b^2/x^5-1/4*b*(2*A*c+B*b)/x^4-1/3*(A*c+2*B*b)*c/x^3-1/2*B*c^2/x^2","A"
27,1,454,96,0.049000," ","int(x^m*(B*x+A)*(c*x^2+b*x)^3,x)","\frac{\left(B \,c^{3} m^{4} x^{4}+A \,c^{3} m^{4} x^{3}+3 B b \,c^{2} m^{4} x^{3}+22 B \,c^{3} m^{3} x^{4}+3 A b \,c^{2} m^{4} x^{2}+23 A \,c^{3} m^{3} x^{3}+3 B \,b^{2} c \,m^{4} x^{2}+69 B b \,c^{2} m^{3} x^{3}+179 B \,c^{3} m^{2} x^{4}+3 A \,b^{2} c \,m^{4} x +72 A b \,c^{2} m^{3} x^{2}+194 A \,c^{3} m^{2} x^{3}+B \,b^{3} m^{4} x +72 B \,b^{2} c \,m^{3} x^{2}+582 B b \,c^{2} m^{2} x^{3}+638 B \,c^{3} m \,x^{4}+A \,b^{3} m^{4}+75 A \,b^{2} c \,m^{3} x +633 A b \,c^{2} m^{2} x^{2}+712 A \,c^{3} m \,x^{3}+25 B \,b^{3} m^{3} x +633 B \,b^{2} c \,m^{2} x^{2}+2136 B b \,c^{2} m \,x^{3}+840 B \,c^{3} x^{4}+26 A \,b^{3} m^{3}+690 A \,b^{2} c \,m^{2} x +2412 A b \,c^{2} m \,x^{2}+960 A \,c^{3} x^{3}+230 B \,b^{3} m^{2} x +2412 B \,b^{2} c m \,x^{2}+2880 B b \,c^{2} x^{3}+251 A \,b^{3} m^{2}+2760 A \,b^{2} c m x +3360 A b \,c^{2} x^{2}+920 B \,b^{3} m x +3360 B \,b^{2} c \,x^{2}+1066 A \,b^{3} m +4032 A \,b^{2} c x +1344 B \,b^{3} x +1680 A \,b^{3}\right) x^{m +4}}{\left(m +8\right) \left(m +7\right) \left(m +6\right) \left(m +5\right) \left(m +4\right)}"," ",0,"x^(m+4)*(B*c^3*m^4*x^4+A*c^3*m^4*x^3+3*B*b*c^2*m^4*x^3+22*B*c^3*m^3*x^4+3*A*b*c^2*m^4*x^2+23*A*c^3*m^3*x^3+3*B*b^2*c*m^4*x^2+69*B*b*c^2*m^3*x^3+179*B*c^3*m^2*x^4+3*A*b^2*c*m^4*x+72*A*b*c^2*m^3*x^2+194*A*c^3*m^2*x^3+B*b^3*m^4*x+72*B*b^2*c*m^3*x^2+582*B*b*c^2*m^2*x^3+638*B*c^3*m*x^4+A*b^3*m^4+75*A*b^2*c*m^3*x+633*A*b*c^2*m^2*x^2+712*A*c^3*m*x^3+25*B*b^3*m^3*x+633*B*b^2*c*m^2*x^2+2136*B*b*c^2*m*x^3+840*B*c^3*x^4+26*A*b^3*m^3+690*A*b^2*c*m^2*x+2412*A*b*c^2*m*x^2+960*A*c^3*x^3+230*B*b^3*m^2*x+2412*B*b^2*c*m*x^2+2880*B*b*c^2*x^3+251*A*b^3*m^2+2760*A*b^2*c*m*x+3360*A*b*c^2*x^2+920*B*b^3*m*x+3360*B*b^2*c*x^2+1066*A*b^3*m+4032*A*b^2*c*x+1344*B*b^3*x+1680*A*b^3)/(m+8)/(m+7)/(m+6)/(m+5)/(m+4)","B"
28,1,76,65,0.043000," ","int(x^3*(B*x+A)*(c*x^2+b*x)^3,x)","\frac{B \,c^{3} x^{11}}{11}+\frac{A \,b^{3} x^{7}}{7}+\frac{\left(A \,c^{3}+3 B b \,c^{2}\right) x^{10}}{10}+\frac{\left(3 A b \,c^{2}+3 B \,b^{2} c \right) x^{9}}{9}+\frac{\left(3 A \,b^{2} c +b^{3} B \right) x^{8}}{8}"," ",0,"1/11*B*c^3*x^11+1/10*(A*c^3+3*B*b*c^2)*x^10+1/9*(3*A*b*c^2+3*B*b^2*c)*x^9+1/8*(3*A*b^2*c+B*b^3)*x^8+1/7*A*b^3*x^7","A"
29,1,76,65,0.049000," ","int(x^2*(B*x+A)*(c*x^2+b*x)^3,x)","\frac{B \,c^{3} x^{10}}{10}+\frac{A \,b^{3} x^{6}}{6}+\frac{\left(A \,c^{3}+3 B b \,c^{2}\right) x^{9}}{9}+\frac{\left(3 A b \,c^{2}+3 B \,b^{2} c \right) x^{8}}{8}+\frac{\left(3 A \,b^{2} c +b^{3} B \right) x^{7}}{7}"," ",0,"1/10*B*c^3*x^10+1/9*(A*c^3+3*B*b*c^2)*x^9+1/8*(3*A*b*c^2+3*B*b^2*c)*x^8+1/7*(3*A*b^2*c+B*b^3)*x^7+1/6*A*b^3*x^6","A"
30,1,76,65,0.042000," ","int(x*(B*x+A)*(c*x^2+b*x)^3,x)","\frac{B \,c^{3} x^{9}}{9}+\frac{A \,b^{3} x^{5}}{5}+\frac{\left(A \,c^{3}+3 B b \,c^{2}\right) x^{8}}{8}+\frac{\left(3 A b \,c^{2}+3 B \,b^{2} c \right) x^{7}}{7}+\frac{\left(3 A \,b^{2} c +b^{3} B \right) x^{6}}{6}"," ",0,"1/9*B*c^3*x^9+1/8*(A*c^3+3*B*b*c^2)*x^8+1/7*(3*A*b*c^2+3*B*b^2*c)*x^7+1/6*(3*A*b^2*c+B*b^3)*x^6+1/5*A*b^3*x^5","A"
31,1,76,65,0.040000," ","int((B*x+A)*(c*x^2+b*x)^3,x)","\frac{B \,c^{3} x^{8}}{8}+\frac{A \,b^{3} x^{4}}{4}+\frac{\left(A \,c^{3}+3 B b \,c^{2}\right) x^{7}}{7}+\frac{\left(3 A b \,c^{2}+3 B \,b^{2} c \right) x^{6}}{6}+\frac{\left(3 A \,b^{2} c +b^{3} B \right) x^{5}}{5}"," ",0,"1/8*B*c^3*x^8+1/7*(A*c^3+3*B*b*c^2)*x^7+1/6*(3*A*b*c^2+3*B*b^2*c)*x^6+1/5*(3*A*b^2*c+B*b^3)*x^5+1/4*A*b^3*x^4","A"
32,1,76,65,0.041000," ","int((B*x+A)*(c*x^2+b*x)^3/x,x)","\frac{B \,c^{3} x^{7}}{7}+\frac{A \,b^{3} x^{3}}{3}+\frac{\left(A \,c^{3}+3 B b \,c^{2}\right) x^{6}}{6}+\frac{\left(3 A b \,c^{2}+3 B \,b^{2} c \right) x^{5}}{5}+\frac{\left(3 A \,b^{2} c +b^{3} B \right) x^{4}}{4}"," ",0,"1/7*B*c^3*x^7+1/6*(A*c^3+3*B*b*c^2)*x^6+1/5*(3*A*b*c^2+3*B*b^2*c)*x^5+1/4*(3*A*b^2*c+B*b^3)*x^4+1/3*A*b^3*x^3","A"
33,1,76,56,0.049000," ","int((B*x+A)*(c*x^2+b*x)^3/x^2,x)","\frac{B \,c^{3} x^{6}}{6}+\frac{A \,b^{3} x^{2}}{2}+\frac{\left(A \,c^{3}+3 B b \,c^{2}\right) x^{5}}{5}+\frac{\left(3 A b \,c^{2}+3 B \,b^{2} c \right) x^{4}}{4}+\frac{\left(3 A \,b^{2} c +b^{3} B \right) x^{3}}{3}"," ",0,"1/6*B*c^3*x^6+1/5*(A*c^3+3*B*b*c^2)*x^5+1/4*(3*A*b*c^2+3*B*b^2*c)*x^4+1/3*(3*A*b^2*c+B*b^3)*x^3+1/2*A*b^3*x^2","A"
34,1,73,34,0.047000," ","int((B*x+A)*(c*x^2+b*x)^3/x^3,x)","\frac{B \,c^{3} x^{5}}{5}+A \,b^{3} x +\frac{\left(A \,c^{3}+3 B b \,c^{2}\right) x^{4}}{4}+\frac{\left(3 A b \,c^{2}+3 B \,b^{2} c \right) x^{3}}{3}+\frac{\left(3 A \,b^{2} c +b^{3} B \right) x^{2}}{2}"," ",0,"1/5*B*c^3*x^5+1/4*(A*c^3+3*B*b*c^2)*x^4+1/3*(3*A*b*c^2+3*B*b^2*c)*x^3+1/2*(3*A*b^2*c+B*b^3)*x^2+A*b^3*x","B"
35,1,70,60,0.048000," ","int((B*x+A)*(c*x^2+b*x)^3/x^4,x)","\frac{B \,c^{3} x^{4}}{4}+\frac{A \,c^{3} x^{3}}{3}+B b \,c^{2} x^{3}+\frac{3 A b \,c^{2} x^{2}}{2}+\frac{3 B \,b^{2} c \,x^{2}}{2}+A \,b^{3} \ln \left(x \right)+3 A \,b^{2} c x +B \,b^{3} x"," ",0,"1/4*B*c^3*x^4+1/3*A*c^3*x^3+B*b*c^2*x^3+3/2*A*b*c^2*x^2+3/2*B*b^2*c*x^2+3*A*b^2*c*x+B*b^3*x+A*b^3*ln(x)","A"
36,1,71,61,0.053000," ","int((B*x+A)*(c*x^2+b*x)^3/x^5,x)","\frac{B \,c^{3} x^{3}}{3}+\frac{A \,c^{3} x^{2}}{2}+\frac{3 B b \,c^{2} x^{2}}{2}+3 A \,b^{2} c \ln \left(x \right)+3 A b \,c^{2} x +B \,b^{3} \ln \left(x \right)+3 B \,b^{2} c x -\frac{A \,b^{3}}{x}"," ",0,"1/3*B*c^3*x^3+1/2*A*x^2*c^3+3/2*B*x^2*b*c^2+3*A*b*c^2*x+3*B*b^2*c*x-A*b^3/x+3*A*ln(x)*b^2*c+B*ln(x)*b^3","A"
37,1,71,61,0.061000," ","int((B*x+A)*(c*x^2+b*x)^3/x^6,x)","\frac{B \,c^{3} x^{2}}{2}+3 A b \,c^{2} \ln \left(x \right)+A \,c^{3} x +3 B \,b^{2} c \ln \left(x \right)+3 B b \,c^{2} x -\frac{3 A \,b^{2} c}{x}-\frac{B \,b^{3}}{x}-\frac{A \,b^{3}}{2 x^{2}}"," ",0,"1/2*B*c^3*x^2+A*c^3*x+3*B*b*c^2*x-1/2*A*b^3/x^2-3*b^2/x*A*c-b^3/x*B+3*A*ln(x)*b*c^2+3*B*ln(x)*b^2*c","A"
38,1,72,60,0.058000," ","int((B*x+A)*(c*x^2+b*x)^3/x^7,x)","A \,c^{3} \ln \left(x \right)+3 B b \,c^{2} \ln \left(x \right)+B \,c^{3} x -\frac{3 A b \,c^{2}}{x}-\frac{3 B \,b^{2} c}{x}-\frac{3 A \,b^{2} c}{2 x^{2}}-\frac{B \,b^{3}}{2 x^{2}}-\frac{A \,b^{3}}{3 x^{3}}"," ",0,"B*c^3*x-1/3*A*b^3/x^3-3/2*b^2/x^2*A*c-1/2*b^3/x^2*B-3*b*c^2/x*A-3*b^2*c/x*B+A*ln(x)*c^3+3*B*ln(x)*b*c^2","A"
39,1,76,63,0.047000," ","int((B*x+A)*(c*x^2+b*x)^3/x^8,x)","B \,c^{3} \ln \left(x \right)-\frac{A \,c^{3}}{x}-\frac{3 B b \,c^{2}}{x}-\frac{3 A b \,c^{2}}{2 x^{2}}-\frac{3 B \,b^{2} c}{2 x^{2}}-\frac{A \,b^{2} c}{x^{3}}-\frac{B \,b^{3}}{3 x^{3}}-\frac{A \,b^{3}}{4 x^{4}}"," ",0,"-1/4*A*b^3/x^4-b^2/x^3*A*c-1/3*b^3/x^3*B-3/2*b*c^2/x^2*A-3/2*b^2*c/x^2*B-c^3/x*A-3*c^2/x*b*B+B*c^3*ln(x)","A"
40,1,66,65,0.050000," ","int((B*x+A)*(c*x^2+b*x)^3/x^9,x)","-\frac{B \,c^{3}}{x}-\frac{\left(A c +3 b B \right) c^{2}}{2 x^{2}}-\frac{A \,b^{3}}{5 x^{5}}-\frac{\left(A c +b B \right) b c}{x^{3}}-\frac{\left(3 A c +b B \right) b^{2}}{4 x^{4}}"," ",0,"-1/5*A*b^3/x^5-1/4*b^2*(3*A*c+B*b)/x^4-(A*c+B*b)*b*c/x^3-1/2*c^2*(A*c+3*B*b)/x^2-B*c^3/x","A"
41,1,66,65,0.046000," ","int((B*x+A)*(c*x^2+b*x)^3/x^10,x)","-\frac{B \,c^{3}}{2 x^{2}}-\frac{\left(A c +3 b B \right) c^{2}}{3 x^{3}}-\frac{A \,b^{3}}{6 x^{6}}-\frac{3 \left(A c +b B \right) b c}{4 x^{4}}-\frac{\left(3 A c +b B \right) b^{2}}{5 x^{5}}"," ",0,"-1/6*A*b^3/x^6-1/5*(3*A*c+B*b)*b^2/x^5-3/4*b*c*(A*c+B*b)/x^4-1/3*(A*c+3*B*b)*c^2/x^3-1/2*B*c^3/x^2","A"
42,1,66,65,0.047000," ","int((B*x+A)*(c*x^2+b*x)^3/x^11,x)","-\frac{B \,c^{3}}{3 x^{3}}-\frac{\left(A c +3 b B \right) c^{2}}{4 x^{4}}-\frac{A \,b^{3}}{7 x^{7}}-\frac{3 \left(A c +b B \right) b c}{5 x^{5}}-\frac{\left(3 A c +b B \right) b^{2}}{6 x^{6}}"," ",0,"-1/7*A*b^3/x^7-1/6*b^2*(3*A*c+B*b)/x^6-3/5*(A*c+B*b)*b*c/x^5-1/4*c^2*(A*c+3*B*b)/x^4-1/3*B*c^3/x^3","A"
43,1,100,81,0.046000," ","int(x^4*(e*x+d)/(c*x^2+b*x),x)","\frac{e \,x^{4}}{4 c}-\frac{b e \,x^{3}}{3 c^{2}}+\frac{d \,x^{3}}{3 c}+\frac{b^{2} e \,x^{2}}{2 c^{3}}-\frac{b d \,x^{2}}{2 c^{2}}+\frac{b^{4} e \ln \left(c x +b \right)}{c^{5}}-\frac{b^{3} d \ln \left(c x +b \right)}{c^{4}}-\frac{b^{3} e x}{c^{4}}+\frac{b^{2} d x}{c^{3}}"," ",0,"1/4*e*x^4/c-1/3/c^2*x^3*b*e+1/3*d*x^3/c+1/2/c^3*x^2*b^2*e-1/2/c^2*x^2*b*d-1/c^4*x*b^3*e+1/c^3*x*b^2*d+b^4/c^5*ln(c*x+b)*e-b^3/c^4*ln(c*x+b)*d","A"
44,1,76,62,0.044000," ","int(x^3*(e*x+d)/(c*x^2+b*x),x)","\frac{e \,x^{3}}{3 c}-\frac{b e \,x^{2}}{2 c^{2}}+\frac{d \,x^{2}}{2 c}-\frac{b^{3} e \ln \left(c x +b \right)}{c^{4}}+\frac{b^{2} d \ln \left(c x +b \right)}{c^{3}}+\frac{b^{2} e x}{c^{3}}-\frac{b d x}{c^{2}}"," ",0,"1/3*e*x^3/c-1/2/c^2*x^2*b*e+1/2*d*x^2/c+1/c^3*x*b^2*e-1/c^2*x*b*d-b^3/c^4*ln(c*x+b)*e+b^2/c^3*ln(c*x+b)*d","A"
45,1,52,43,0.053000," ","int(x^2*(e*x+d)/(c*x^2+b*x),x)","\frac{e \,x^{2}}{2 c}+\frac{b^{2} e \ln \left(c x +b \right)}{c^{3}}-\frac{b d \ln \left(c x +b \right)}{c^{2}}-\frac{b e x}{c^{2}}+\frac{d x}{c}"," ",0,"1/2*e*x^2/c-1/c^2*x*b*e+d*x/c+b^2/c^3*ln(c*x+b)*e-b/c^2*ln(c*x+b)*d","A"
46,1,32,25,0.046000," ","int(x*(e*x+d)/(c*x^2+b*x),x)","-\frac{b e \ln \left(c x +b \right)}{c^{2}}+\frac{d \ln \left(c x +b \right)}{c}+\frac{e x}{c}"," ",0,"e*x/c-1/c^2*ln(c*x+b)*b*e+1/c*ln(c*x+b)*d","A"
47,1,32,30,0.049000," ","int((e*x+d)/(c*x^2+b*x),x)","\frac{d \ln \left(x \right)}{b}-\frac{d \ln \left(c x +b \right)}{b}+\frac{e \ln \left(c x +b \right)}{c}"," ",0,"1/c*ln(c*x+b)*e-1/b*ln(c*x+b)*d+1/b*d*ln(x)","A"
48,1,51,43,0.053000," ","int((e*x+d)/x/(c*x^2+b*x),x)","\frac{e \ln \left(x \right)}{b}-\frac{e \ln \left(c x +b \right)}{b}-\frac{c d \ln \left(x \right)}{b^{2}}+\frac{c d \ln \left(c x +b \right)}{b^{2}}-\frac{d}{b x}"," ",0,"-1/b*ln(c*x+b)*e+1/b^2*ln(c*x+b)*c*d-d/b/x+1/b*ln(x)*e-1/b^2*ln(x)*c*d","A"
49,1,75,60,0.049000," ","int((e*x+d)/x^2/(c*x^2+b*x),x)","-\frac{c e \ln \left(x \right)}{b^{2}}+\frac{c e \ln \left(c x +b \right)}{b^{2}}+\frac{c^{2} d \ln \left(x \right)}{b^{3}}-\frac{c^{2} d \ln \left(c x +b \right)}{b^{3}}-\frac{e}{b x}+\frac{c d}{b^{2} x}-\frac{d}{2 b \,x^{2}}"," ",0,"c/b^2*ln(c*x+b)*e-c^2/b^3*ln(c*x+b)*d-1/2*d/b/x^2-1/b/x*e+1/b^2/x*c*d-c/b^2*ln(x)*e+c^2/b^3*ln(x)*d","A"
50,1,101,82,0.052000," ","int((e*x+d)/x^3/(c*x^2+b*x),x)","\frac{c^{2} e \ln \left(x \right)}{b^{3}}-\frac{c^{2} e \ln \left(c x +b \right)}{b^{3}}-\frac{c^{3} d \ln \left(x \right)}{b^{4}}+\frac{c^{3} d \ln \left(c x +b \right)}{b^{4}}+\frac{c e}{b^{2} x}-\frac{c^{2} d}{b^{3} x}-\frac{e}{2 b \,x^{2}}+\frac{c d}{2 b^{2} x^{2}}-\frac{d}{3 b \,x^{3}}"," ",0,"-c^2/b^3*ln(c*x+b)*e+c^3/b^4*ln(c*x+b)*d-1/3*d/b/x^3-1/2/b/x^2*e+1/2/b^2/x^2*c*d+c^2/b^3*ln(x)*e-c^3/b^4*ln(x)*d+c/b^2/x*e-c^2/b^3/x*d","A"
51,1,109,86,0.055000," ","int(x^5*(e*x+d)/(c*x^2+b*x)^2,x)","\frac{e \,x^{3}}{3 c^{2}}-\frac{b e \,x^{2}}{c^{3}}+\frac{d \,x^{2}}{2 c^{2}}-\frac{b^{4} e}{\left(c x +b \right) c^{5}}+\frac{b^{3} d}{\left(c x +b \right) c^{4}}-\frac{4 b^{3} e \ln \left(c x +b \right)}{c^{5}}+\frac{3 b^{2} d \ln \left(c x +b \right)}{c^{4}}+\frac{3 b^{2} e x}{c^{4}}-\frac{2 b d x}{c^{3}}"," ",0,"1/3*e*x^3/c^2-1/c^3*x^2*b*e+1/2*d*x^2/c^2+3/c^4*x*b^2*e-2/c^3*x*b*d-4*b^3/c^5*ln(c*x+b)*e+3*b^2/c^4*ln(c*x+b)*d-b^4/c^5/(c*x+b)*e+b^3/c^4/(c*x+b)*d","A"
52,1,84,67,0.047000," ","int(x^4*(e*x+d)/(c*x^2+b*x)^2,x)","\frac{e \,x^{2}}{2 c^{2}}+\frac{b^{3} e}{\left(c x +b \right) c^{4}}-\frac{b^{2} d}{\left(c x +b \right) c^{3}}+\frac{3 b^{2} e \ln \left(c x +b \right)}{c^{4}}-\frac{2 b d \ln \left(c x +b \right)}{c^{3}}-\frac{2 b e x}{c^{3}}+\frac{d x}{c^{2}}"," ",0,"1/2*e*x^2/c^2-2/c^3*x*b*e+d*x/c^2+3*b^2/c^4*ln(c*x+b)*e-2*b/c^3*ln(c*x+b)*d+b^3/c^4/(c*x+b)*e-b^2/c^3/(c*x+b)*d","A"
53,1,61,45,0.052000," ","int(x^3*(e*x+d)/(c*x^2+b*x)^2,x)","-\frac{b^{2} e}{\left(c x +b \right) c^{3}}+\frac{b d}{\left(c x +b \right) c^{2}}-\frac{2 b e \ln \left(c x +b \right)}{c^{3}}+\frac{d \ln \left(c x +b \right)}{c^{2}}+\frac{e x}{c^{2}}"," ",0,"e*x/c^2-2/c^3*ln(c*x+b)*b*e+1/c^2*ln(c*x+b)*d-b^2/c^3/(c*x+b)*e+b/c^2/(c*x+b)*d","A"
54,1,39,31,0.046000," ","int(x^2*(e*x+d)/(c*x^2+b*x)^2,x)","\frac{b e}{\left(c x +b \right) c^{2}}-\frac{d}{\left(c x +b \right) c}+\frac{e \ln \left(c x +b \right)}{c^{2}}"," ",0,"e*ln(c*x+b)/c^2+1/c^2/(c*x+b)*b*e-1/c/(c*x+b)*d","A"
55,1,46,42,0.054000," ","int(x*(e*x+d)/(c*x^2+b*x)^2,x)","\frac{d}{\left(c x +b \right) b}+\frac{d \ln \left(x \right)}{b^{2}}-\frac{d \ln \left(c x +b \right)}{b^{2}}-\frac{e}{\left(c x +b \right) c}"," ",0,"-1/c/(c*x+b)*e+1/b/(c*x+b)*d-d*ln(c*x+b)/b^2+d*ln(x)/b^2","A"
56,1,78,64,0.052000," ","int((e*x+d)/(c*x^2+b*x)^2,x)","\frac{e}{\left(c x +b \right) b}-\frac{c d}{\left(c x +b \right) b^{2}}+\frac{e \ln \left(x \right)}{b^{2}}-\frac{e \ln \left(c x +b \right)}{b^{2}}-\frac{2 c d \ln \left(x \right)}{b^{3}}+\frac{2 c d \ln \left(c x +b \right)}{b^{3}}-\frac{d}{b^{2} x}"," ",0,"-1/b^2*ln(c*x+b)*e+2/b^3*ln(c*x+b)*c*d+1/b/(c*x+b)*e-1/b^2/(c*x+b)*c*d-1/b^2*d/x+1/b^2*ln(x)*e-2/b^3*ln(x)*c*d","A"
57,1,107,83,0.056000," ","int((e*x+d)/x/(c*x^2+b*x)^2,x)","-\frac{c e}{\left(c x +b \right) b^{2}}+\frac{c^{2} d}{\left(c x +b \right) b^{3}}-\frac{2 c e \ln \left(x \right)}{b^{3}}+\frac{2 c e \ln \left(c x +b \right)}{b^{3}}+\frac{3 c^{2} d \ln \left(x \right)}{b^{4}}-\frac{3 c^{2} d \ln \left(c x +b \right)}{b^{4}}-\frac{e}{b^{2} x}+\frac{2 c d}{b^{3} x}-\frac{d}{2 b^{2} x^{2}}"," ",0,"2*c/b^3*ln(c*x+b)*e-3*c^2/b^4*ln(c*x+b)*d-c/b^2/(c*x+b)*e+c^2/b^3/(c*x+b)*d-1/2*d/b^2/x^2-1/b^2/x*e+2/b^3/x*c*d-2*c/b^3*ln(x)*e+3*c^2/b^4*ln(x)*d","A"
58,1,134,109,0.120000," ","int((e*x+d)/x^2/(c*x^2+b*x)^2,x)","\frac{c^{2} e}{\left(c x +b \right) b^{3}}-\frac{c^{3} d}{\left(c x +b \right) b^{4}}+\frac{3 c^{2} e \ln \left(x \right)}{b^{4}}-\frac{3 c^{2} e \ln \left(c x +b \right)}{b^{4}}-\frac{4 c^{3} d \ln \left(x \right)}{b^{5}}+\frac{4 c^{3} d \ln \left(c x +b \right)}{b^{5}}+\frac{2 c e}{b^{3} x}-\frac{3 c^{2} d}{b^{4} x}-\frac{e}{2 b^{2} x^{2}}+\frac{c d}{b^{3} x^{2}}-\frac{d}{3 b^{2} x^{3}}"," ",0,"-3*c^2/b^4*ln(c*x+b)*e+4*c^3/b^5*ln(c*x+b)*d+c^2/b^3/(c*x+b)*e-c^3/b^4/(c*x+b)*d-1/3*d/b^2/x^3-1/2/b^2/x^2*e+1/b^3/x^2*c*d+3*c^2/b^4*ln(x)*e-4*c^3/b^5*ln(x)*d+2*c/b^3/x*e-3*c^2/b^4/x*d","A"
59,1,117,90,0.072000," ","int(x^6*(e*x+d)/(c*x^2+b*x)^3,x)","-\frac{b^{4} e}{2 \left(c x +b \right)^{2} c^{5}}+\frac{b^{3} d}{2 \left(c x +b \right)^{2} c^{4}}+\frac{e \,x^{2}}{2 c^{3}}+\frac{4 b^{3} e}{\left(c x +b \right) c^{5}}-\frac{3 b^{2} d}{\left(c x +b \right) c^{4}}+\frac{6 b^{2} e \ln \left(c x +b \right)}{c^{5}}-\frac{3 b d \ln \left(c x +b \right)}{c^{4}}-\frac{3 b e x}{c^{4}}+\frac{d x}{c^{3}}"," ",0,"1/2*e*x^2/c^3-3/c^4*x*b*e+1/c^3*x*d+6*b^2/c^5*ln(c*x+b)*e-3*b/c^4*ln(c*x+b)*d-1/2*b^4/c^5/(c*x+b)^2*e+1/2*b^3/c^4/(c*x+b)^2*d+4*b^3/c^5/(c*x+b)*e-3*b^2/c^4/(c*x+b)*d","A"
60,1,94,69,0.053000," ","int(x^5*(e*x+d)/(c*x^2+b*x)^3,x)","\frac{b^{3} e}{2 \left(c x +b \right)^{2} c^{4}}-\frac{b^{2} d}{2 \left(c x +b \right)^{2} c^{3}}-\frac{3 b^{2} e}{\left(c x +b \right) c^{4}}+\frac{2 b d}{\left(c x +b \right) c^{3}}-\frac{3 b e \ln \left(c x +b \right)}{c^{4}}+\frac{d \ln \left(c x +b \right)}{c^{3}}+\frac{e x}{c^{3}}"," ",0,"e*x/c^3-3/c^4*ln(c*x+b)*b*e+1/c^3*ln(c*x+b)*d+1/2*b^3/c^4/(c*x+b)^2*e-1/2*b^2/c^3/(c*x+b)^2*d-3*b^2/c^4/(c*x+b)*e+2*b/c^3/(c*x+b)*d","A"
61,1,70,53,0.048000," ","int(x^4*(e*x+d)/(c*x^2+b*x)^3,x)","-\frac{b^{2} e}{2 \left(c x +b \right)^{2} c^{3}}+\frac{b d}{2 \left(c x +b \right)^{2} c^{2}}+\frac{2 b e}{\left(c x +b \right) c^{3}}-\frac{d}{\left(c x +b \right) c^{2}}+\frac{e \ln \left(c x +b \right)}{c^{3}}"," ",0,"e*ln(c*x+b)/c^3-1/2*b^2/c^3/(c*x+b)^2*e+1/2*b/c^2/(c*x+b)^2*d+2/c^3/(c*x+b)*b*e-1/c^2/(c*x+b)*d","A"
62,1,35,34,0.050000," ","int(x^3*(e*x+d)/(c*x^2+b*x)^3,x)","-\frac{e}{\left(c x +b \right) c^{2}}-\frac{-b e +c d}{2 \left(c x +b \right)^{2} c^{2}}"," ",0,"-1/2*(-b*e+c*d)/c^2/(c*x+b)^2-e/c^2/(c*x+b)","A"
63,1,59,55,0.051000," ","int(x^2*(e*x+d)/(c*x^2+b*x)^3,x)","\frac{d}{2 \left(c x +b \right)^{2} b}-\frac{e}{2 \left(c x +b \right)^{2} c}+\frac{d}{\left(c x +b \right) b^{2}}+\frac{d \ln \left(x \right)}{b^{3}}-\frac{d \ln \left(c x +b \right)}{b^{3}}"," ",0,"-1/2/c/(c*x+b)^2*e+1/2/b/(c*x+b)^2*d-d*ln(c*x+b)/b^3+d/b^2/(c*x+b)+d*ln(x)/b^3","A"
64,1,105,84,0.054000," ","int(x*(e*x+d)/(c*x^2+b*x)^3,x)","\frac{e}{2 \left(c x +b \right)^{2} b}-\frac{c d}{2 \left(c x +b \right)^{2} b^{2}}+\frac{e}{\left(c x +b \right) b^{2}}-\frac{2 c d}{\left(c x +b \right) b^{3}}+\frac{e \ln \left(x \right)}{b^{3}}-\frac{e \ln \left(c x +b \right)}{b^{3}}-\frac{3 c d \ln \left(x \right)}{b^{4}}+\frac{3 c d \ln \left(c x +b \right)}{b^{4}}-\frac{d}{b^{3} x}"," ",0,"-1/b^3*ln(c*x+b)*e+3/b^4*ln(c*x+b)*c*d+1/b^2/(c*x+b)*e-2/b^3/(c*x+b)*c*d+1/2/b/(c*x+b)^2*e-1/2/b^2/(c*x+b)^2*c*d-d/b^3/x+1/b^3*ln(x)*e-3/b^4*ln(x)*c*d","A"
65,1,138,106,0.055000," ","int((e*x+d)/(c*x^2+b*x)^3,x)","-\frac{c e}{2 \left(c x +b \right)^{2} b^{2}}+\frac{c^{2} d}{2 \left(c x +b \right)^{2} b^{3}}-\frac{2 c e}{\left(c x +b \right) b^{3}}+\frac{3 c^{2} d}{\left(c x +b \right) b^{4}}-\frac{3 c e \ln \left(x \right)}{b^{4}}+\frac{3 c e \ln \left(c x +b \right)}{b^{4}}+\frac{6 c^{2} d \ln \left(x \right)}{b^{5}}-\frac{6 c^{2} d \ln \left(c x +b \right)}{b^{5}}-\frac{e}{b^{3} x}+\frac{3 c d}{b^{4} x}-\frac{d}{2 b^{3} x^{2}}"," ",0,"-2*c/b^3/(c*x+b)*e+3*c^2/b^4/(c*x+b)*d-1/2*c/b^2/(c*x+b)^2*e+1/2*c^2/b^3/(c*x+b)^2*d+3*c/b^4*ln(c*x+b)*e-6*c^2/b^5*ln(c*x+b)*d-1/2/b^3*d/x^2-1/b^3/x*e+3/b^4/x*c*d-3*c/b^4*ln(x)*e+6*c^2/b^5*ln(x)*d","A"
66,1,168,134,0.056000," ","int((e*x+d)/x/(c*x^2+b*x)^3,x)","\frac{c^{2} e}{2 \left(c x +b \right)^{2} b^{3}}-\frac{c^{3} d}{2 \left(c x +b \right)^{2} b^{4}}+\frac{3 c^{2} e}{\left(c x +b \right) b^{4}}-\frac{4 c^{3} d}{\left(c x +b \right) b^{5}}+\frac{6 c^{2} e \ln \left(x \right)}{b^{5}}-\frac{6 c^{2} e \ln \left(c x +b \right)}{b^{5}}-\frac{10 c^{3} d \ln \left(x \right)}{b^{6}}+\frac{10 c^{3} d \ln \left(c x +b \right)}{b^{6}}+\frac{3 c e}{b^{4} x}-\frac{6 c^{2} d}{b^{5} x}-\frac{e}{2 b^{3} x^{2}}+\frac{3 c d}{2 b^{4} x^{2}}-\frac{d}{3 b^{3} x^{3}}"," ",0,"-6*c^2/b^5*ln(c*x+b)*e+10*c^3/b^6*ln(c*x+b)*d+3*c^2/b^4/(c*x+b)*e-4*c^3/b^5/(c*x+b)*d+1/2*c^2/b^3/(c*x+b)^2*e-1/2*c^3/b^4/(c*x+b)^2*d-1/3*d/b^3/x^3-1/2/b^3/x^2*e+3/2/b^4/x^2*c*d+3*c/b^4/x*e-6*c^2/b^5/x*d+6*c^2/b^5*ln(x)*e-10*c^3/b^6*ln(x)*d","A"
67,1,291,172,0.053000," ","int(x^3*(B*x+A)*(c*x^2+b*x)^(1/2),x)","\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,x^{3}}{6 c}+\frac{7 A \,b^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{256 c^{\frac{9}{2}}}-\frac{21 B \,b^{6} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{1024 c^{\frac{11}{2}}}-\frac{7 \sqrt{c \,x^{2}+b x}\, A \,b^{3} x}{64 c^{3}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,x^{2}}{5 c}+\frac{21 \sqrt{c \,x^{2}+b x}\, B \,b^{4} x}{256 c^{4}}-\frac{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B b \,x^{2}}{20 c^{2}}-\frac{7 \sqrt{c \,x^{2}+b x}\, A \,b^{4}}{128 c^{4}}-\frac{7 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A b x}{40 c^{2}}+\frac{21 \sqrt{c \,x^{2}+b x}\, B \,b^{5}}{512 c^{5}}+\frac{21 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{2} x}{160 c^{3}}+\frac{7 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{2}}{48 c^{3}}-\frac{7 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{3}}{64 c^{4}}"," ",0,"1/6*B*x^3*(c*x^2+b*x)^(3/2)/c-3/20*B*b/c^2*x^2*(c*x^2+b*x)^(3/2)+21/160*B*b^2/c^3*x*(c*x^2+b*x)^(3/2)-7/64*B*b^3/c^4*(c*x^2+b*x)^(3/2)+21/256*B*b^4/c^4*(c*x^2+b*x)^(1/2)*x+21/512*B*b^5/c^5*(c*x^2+b*x)^(1/2)-21/1024*B*b^6/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/5*A*x^2*(c*x^2+b*x)^(3/2)/c-7/40*A*b/c^2*x*(c*x^2+b*x)^(3/2)+7/48*A*b^2/c^3*(c*x^2+b*x)^(3/2)-7/64*A*b^3/c^3*(c*x^2+b*x)^(1/2)*x-7/128*A*b^4/c^4*(c*x^2+b*x)^(1/2)+7/256*A*b^5/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","A"
68,1,245,141,0.052000," ","int(x^2*(B*x+A)*(c*x^2+b*x)^(1/2),x)","-\frac{5 A \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{128 c^{\frac{7}{2}}}+\frac{7 B \,b^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{256 c^{\frac{9}{2}}}+\frac{5 \sqrt{c \,x^{2}+b x}\, A \,b^{2} x}{32 c^{2}}-\frac{7 \sqrt{c \,x^{2}+b x}\, B \,b^{3} x}{64 c^{3}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,x^{2}}{5 c}+\frac{5 \sqrt{c \,x^{2}+b x}\, A \,b^{3}}{64 c^{3}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} A x}{4 c}-\frac{7 \sqrt{c \,x^{2}+b x}\, B \,b^{4}}{128 c^{4}}-\frac{7 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B b x}{40 c^{2}}-\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A b}{24 c^{2}}+\frac{7 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{2}}{48 c^{3}}"," ",0,"1/5*B*x^2*(c*x^2+b*x)^(3/2)/c-7/40*B*b/c^2*x*(c*x^2+b*x)^(3/2)+7/48*B*b^2/c^3*(c*x^2+b*x)^(3/2)-7/64*B*b^3/c^3*(c*x^2+b*x)^(1/2)*x-7/128*B*b^4/c^4*(c*x^2+b*x)^(1/2)+7/256*B*b^5/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/4*A*x*(c*x^2+b*x)^(3/2)/c-5/24*A*b/c^2*(c*x^2+b*x)^(3/2)+5/32*A*b^2/c^2*(c*x^2+b*x)^(1/2)*x+5/64*A*b^3/c^3*(c*x^2+b*x)^(1/2)-5/128*A*b^4/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","A"
69,1,201,97,0.053000," ","int(x*(B*x+A)*(c*x^2+b*x)^(1/2),x)","\frac{A \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{16 c^{\frac{5}{2}}}-\frac{5 B \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{128 c^{\frac{7}{2}}}-\frac{\sqrt{c \,x^{2}+b x}\, A b x}{4 c}+\frac{5 \sqrt{c \,x^{2}+b x}\, B \,b^{2} x}{32 c^{2}}-\frac{\sqrt{c \,x^{2}+b x}\, A \,b^{2}}{8 c^{2}}+\frac{5 \sqrt{c \,x^{2}+b x}\, B \,b^{3}}{64 c^{3}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B x}{4 c}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} A}{3 c}-\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B b}{24 c^{2}}"," ",0,"1/4*B*x*(c*x^2+b*x)^(3/2)/c-5/24*B*b/c^2*(c*x^2+b*x)^(3/2)+5/32*B*b^2/c^2*x*(c*x^2+b*x)^(1/2)+5/64*B*b^3/c^3*(c*x^2+b*x)^(1/2)-5/128*B*b^4/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/3*A*(c*x^2+b*x)^(3/2)/c-1/4*A*b/c*x*(c*x^2+b*x)^(1/2)-1/8*A*b^2/c^2*(c*x^2+b*x)^(1/2)+1/16*A*b^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","B"
70,1,157,81,0.050000," ","int((B*x+A)*(c*x^2+b*x)^(1/2),x)","-\frac{A \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{8 c^{\frac{3}{2}}}+\frac{B \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{16 c^{\frac{5}{2}}}+\frac{\sqrt{c \,x^{2}+b x}\, A x}{2}-\frac{\sqrt{c \,x^{2}+b x}\, B b x}{4 c}+\frac{\sqrt{c \,x^{2}+b x}\, A b}{4 c}-\frac{\sqrt{c \,x^{2}+b x}\, B \,b^{2}}{8 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B}{3 c}"," ",0,"1/3*B*(c*x^2+b*x)^(3/2)/c-1/4*B*b/c*x*(c*x^2+b*x)^(1/2)-1/8*B*b^2/c^2*(c*x^2+b*x)^(1/2)+1/16*B*b^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/2*A*x*(c*x^2+b*x)^(1/2)+1/4*A/c*(c*x^2+b*x)^(1/2)*b-1/8*A*b^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","A"
71,1,112,76,0.051000," ","int((B*x+A)*(c*x^2+b*x)^(1/2)/x,x)","\frac{A b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2 \sqrt{c}}-\frac{B \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{8 c^{\frac{3}{2}}}+\frac{\sqrt{c \,x^{2}+b x}\, B x}{2}+\sqrt{c \,x^{2}+b x}\, A +\frac{\sqrt{c \,x^{2}+b x}\, B b}{4 c}"," ",0,"1/2*B*x*(c*x^2+b*x)^(1/2)+1/4*B/c*(c*x^2+b*x)^(1/2)*b-1/8*B*b^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+A*(c*x^2+b*x)^(1/2)+1/2*A*b*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))/c^(1/2)","A"
72,1,113,73,0.057000," ","int((B*x+A)*(c*x^2+b*x)^(1/2)/x^2,x)","A \sqrt{c}\, \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)+\frac{B b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2 \sqrt{c}}+\frac{2 \sqrt{c \,x^{2}+b x}\, A c}{b}+\sqrt{c \,x^{2}+b x}\, B -\frac{2 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A}{b \,x^{2}}"," ",0,"-2*A*(c*x^2+b*x)^(3/2)/b/x^2+2*A/b*c*(c*x^2+b*x)^(1/2)+A*c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+B*(c*x^2+b*x)^(1/2)+1/2*B*b*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))/c^(1/2)","A"
73,1,89,61,0.067000," ","int((B*x+A)*(c*x^2+b*x)^(1/2)/x^3,x)","B \sqrt{c}\, \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)+\frac{2 \sqrt{c \,x^{2}+b x}\, B c}{b}-\frac{2 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B}{b \,x^{2}}-\frac{2 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A}{3 b \,x^{3}}"," ",0,"-2/3*A*(c*x^2+b*x)^(3/2)/b/x^3-2*B/b/x^2*(c*x^2+b*x)^(3/2)+2*B/b*c*(c*x^2+b*x)^(1/2)+B*c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","A"
74,1,40,49,0.046000," ","int((B*x+A)*(c*x^2+b*x)^(1/2)/x^4,x)","-\frac{2 \left(c x +b \right) \left(-2 A c x +5 B b x +3 A b \right) \sqrt{c \,x^{2}+b x}}{15 b^{2} x^{3}}"," ",0,"-2/15*(c*x+b)*(-2*A*c*x+5*B*b*x+3*A*b)*(c*x^2+b*x)^(1/2)/b^2/x^3","A"
75,1,62,78,0.047000," ","int((B*x+A)*(c*x^2+b*x)^(1/2)/x^5,x)","-\frac{2 \left(c x +b \right) \left(8 A \,c^{2} x^{2}-14 B b c \,x^{2}-12 A b c x +21 B \,b^{2} x +15 A \,b^{2}\right) \sqrt{c \,x^{2}+b x}}{105 b^{3} x^{4}}"," ",0,"-2/105*(c*x+b)*(8*A*c^2*x^2-14*B*b*c*x^2-12*A*b*c*x+21*B*b^2*x+15*A*b^2)*(c*x^2+b*x)^(1/2)/b^3/x^4","A"
76,1,86,109,0.046000," ","int((B*x+A)*(c*x^2+b*x)^(1/2)/x^6,x)","-\frac{2 \left(c x +b \right) \left(-16 A \,c^{3} x^{3}+24 B b \,c^{2} x^{3}+24 A b \,c^{2} x^{2}-36 B \,b^{2} c \,x^{2}-30 A \,b^{2} c x +45 B \,b^{3} x +35 A \,b^{3}\right) \sqrt{c \,x^{2}+b x}}{315 b^{4} x^{5}}"," ",0,"-2/315*(c*x+b)*(-16*A*c^3*x^3+24*B*b*c^2*x^3+24*A*b*c^2*x^2-36*B*b^2*c*x^2-30*A*b^2*c*x+45*B*b^3*x+35*A*b^3)*(c*x^2+b*x)^(1/2)/b^4/x^5","A"
77,1,110,140,0.049000," ","int((B*x+A)*(c*x^2+b*x)^(1/2)/x^7,x)","-\frac{2 \left(c x +b \right) \left(128 A \,c^{4} x^{4}-176 B b \,c^{3} x^{4}-192 A b \,c^{3} x^{3}+264 B \,b^{2} c^{2} x^{3}+240 A \,b^{2} c^{2} x^{2}-330 B \,b^{3} c \,x^{2}-280 A \,b^{3} c x +385 b^{4} B x +315 A \,b^{4}\right) \sqrt{c \,x^{2}+b x}}{3465 b^{5} x^{6}}"," ",0,"-2/3465*(c*x+b)*(128*A*c^4*x^4-176*B*b*c^3*x^4-192*A*b*c^3*x^3+264*B*b^2*c^2*x^3+240*A*b^2*c^2*x^2-330*B*b^3*c*x^2-280*A*b^3*c*x+385*B*b^4*x+315*A*b^4)*(c*x^2+b*x)^(1/2)/b^5/x^6","A"
78,1,134,171,0.045000," ","int((B*x+A)*(c*x^2+b*x)^(1/2)/x^8,x)","-\frac{2 \left(c x +b \right) \left(-1280 A \,c^{5} x^{5}+1664 B b \,c^{4} x^{5}+1920 A b \,c^{4} x^{4}-2496 B \,b^{2} c^{3} x^{4}-2400 A \,b^{2} c^{3} x^{3}+3120 B \,b^{3} c^{2} x^{3}+2800 A \,b^{3} c^{2} x^{2}-3640 B \,b^{4} c \,x^{2}-3150 A \,b^{4} c x +4095 B \,b^{5} x +3465 A \,b^{5}\right) \sqrt{c \,x^{2}+b x}}{45045 b^{6} x^{7}}"," ",0,"-2/45045*(c*x+b)*(-1280*A*c^5*x^5+1664*B*b*c^4*x^5+1920*A*b*c^4*x^4-2496*B*b^2*c^3*x^4-2400*A*b^2*c^3*x^3+3120*B*b^3*c^2*x^3+2800*A*b^3*c^2*x^2-3640*B*b^4*c*x^2-3150*A*b^4*c*x+4095*B*b^5*x+3465*A*b^5)*(c*x^2+b*x)^(1/2)/x^7/b^6","A"
79,1,373,206,0.053000," ","int(x^3*(B*x+A)*(c*x^2+b*x)^(3/2),x)","-\frac{9 A \,b^{7} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2048 c^{\frac{11}{2}}}+\frac{99 B \,b^{8} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{32768 c^{\frac{13}{2}}}+\frac{9 \sqrt{c \,x^{2}+b x}\, A \,b^{5} x}{512 c^{4}}-\frac{99 \sqrt{c \,x^{2}+b x}\, B \,b^{6} x}{8192 c^{5}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,x^{3}}{8 c}+\frac{9 \sqrt{c \,x^{2}+b x}\, A \,b^{6}}{1024 c^{5}}-\frac{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{3} x}{64 c^{3}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} A \,x^{2}}{7 c}-\frac{99 \sqrt{c \,x^{2}+b x}\, B \,b^{7}}{16384 c^{6}}+\frac{33 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{4} x}{1024 c^{4}}-\frac{11 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B b \,x^{2}}{112 c^{2}}-\frac{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{4}}{128 c^{4}}-\frac{3 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} A b x}{28 c^{2}}+\frac{33 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{5}}{2048 c^{5}}+\frac{33 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,b^{2} x}{448 c^{3}}+\frac{3 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} A \,b^{2}}{40 c^{3}}-\frac{33 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,b^{3}}{640 c^{4}}"," ",0,"1/8*B*x^3*(c*x^2+b*x)^(5/2)/c-11/112*B*b/c^2*x^2*(c*x^2+b*x)^(5/2)+33/448*B*b^2/c^3*x*(c*x^2+b*x)^(5/2)-33/640*B*b^3/c^4*(c*x^2+b*x)^(5/2)+33/1024*B*b^4/c^4*(c*x^2+b*x)^(3/2)*x+33/2048*B*b^5/c^5*(c*x^2+b*x)^(3/2)-99/8192*B*b^6/c^5*(c*x^2+b*x)^(1/2)*x-99/16384*B*b^7/c^6*(c*x^2+b*x)^(1/2)+99/32768*B*b^8/c^(13/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/7*A*x^2*(c*x^2+b*x)^(5/2)/c-3/28*A*b/c^2*x*(c*x^2+b*x)^(5/2)+3/40*A*b^2/c^3*(c*x^2+b*x)^(5/2)-3/64*A*b^3/c^3*(c*x^2+b*x)^(3/2)*x-3/128*A*b^4/c^4*(c*x^2+b*x)^(3/2)+9/512*A*b^5/c^4*(c*x^2+b*x)^(1/2)*x+9/1024*A*b^6/c^5*(c*x^2+b*x)^(1/2)-9/2048*A*b^7/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","A"
80,1,327,175,0.055000," ","int(x^2*(B*x+A)*(c*x^2+b*x)^(3/2),x)","\frac{7 A \,b^{6} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{1024 c^{\frac{9}{2}}}-\frac{9 B \,b^{7} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2048 c^{\frac{11}{2}}}-\frac{7 \sqrt{c \,x^{2}+b x}\, A \,b^{4} x}{256 c^{3}}+\frac{9 \sqrt{c \,x^{2}+b x}\, B \,b^{5} x}{512 c^{4}}-\frac{7 \sqrt{c \,x^{2}+b x}\, A \,b^{5}}{512 c^{4}}+\frac{7 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{2} x}{96 c^{2}}+\frac{9 \sqrt{c \,x^{2}+b x}\, B \,b^{6}}{1024 c^{5}}-\frac{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{3} x}{64 c^{3}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,x^{2}}{7 c}+\frac{7 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{3}}{192 c^{3}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} A x}{6 c}-\frac{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{4}}{128 c^{4}}-\frac{3 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B b x}{28 c^{2}}-\frac{7 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} A b}{60 c^{2}}+\frac{3 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,b^{2}}{40 c^{3}}"," ",0,"1/7*B*x^2*(c*x^2+b*x)^(5/2)/c-3/28*B*b/c^2*x*(c*x^2+b*x)^(5/2)+3/40*B*b^2/c^3*(c*x^2+b*x)^(5/2)-3/64*B*b^3/c^3*(c*x^2+b*x)^(3/2)*x-3/128*B*b^4/c^4*(c*x^2+b*x)^(3/2)+9/512*B*b^5/c^4*(c*x^2+b*x)^(1/2)*x+9/1024*B*b^6/c^5*(c*x^2+b*x)^(1/2)-9/2048*B*b^7/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/6*A*x*(c*x^2+b*x)^(5/2)/c-7/60*A*b/c^2*(c*x^2+b*x)^(5/2)+7/96*A*b^2/c^2*(c*x^2+b*x)^(3/2)*x+7/192*A*b^3/c^3*(c*x^2+b*x)^(3/2)-7/256*A*b^4/c^3*(c*x^2+b*x)^(1/2)*x-7/512*A*b^5/c^4*(c*x^2+b*x)^(1/2)+7/1024*A*b^6/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","A"
81,1,283,131,0.048000," ","int(x*(B*x+A)*(c*x^2+b*x)^(3/2),x)","-\frac{3 A \,b^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{256 c^{\frac{7}{2}}}+\frac{7 B \,b^{6} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{1024 c^{\frac{9}{2}}}+\frac{3 \sqrt{c \,x^{2}+b x}\, A \,b^{3} x}{64 c^{2}}-\frac{7 \sqrt{c \,x^{2}+b x}\, B \,b^{4} x}{256 c^{3}}+\frac{3 \sqrt{c \,x^{2}+b x}\, A \,b^{4}}{128 c^{3}}-\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} A b x}{8 c}-\frac{7 \sqrt{c \,x^{2}+b x}\, B \,b^{5}}{512 c^{4}}+\frac{7 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{2} x}{96 c^{2}}-\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{2}}{16 c^{2}}+\frac{7 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{3}}{192 c^{3}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} B x}{6 c}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} A}{5 c}-\frac{7 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B b}{60 c^{2}}"," ",0,"1/6*B*x*(c*x^2+b*x)^(5/2)/c-7/60*B*b/c^2*(c*x^2+b*x)^(5/2)+7/96*B*b^2/c^2*x*(c*x^2+b*x)^(3/2)+7/192*B*b^3/c^3*(c*x^2+b*x)^(3/2)-7/256*B*b^4/c^3*(c*x^2+b*x)^(1/2)*x-7/512*B*b^5/c^4*(c*x^2+b*x)^(1/2)+7/1024*B*b^6/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/5*A*(c*x^2+b*x)^(5/2)/c-1/8*A*b/c*x*(c*x^2+b*x)^(3/2)-1/16*A*b^2/c^2*(c*x^2+b*x)^(3/2)+3/64*A*b^3/c^2*(c*x^2+b*x)^(1/2)*x+3/128*A*b^4/c^3*(c*x^2+b*x)^(1/2)-3/256*A*b^5/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","B"
82,1,239,114,0.050000," ","int((B*x+A)*(c*x^2+b*x)^(3/2),x)","\frac{3 A \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{128 c^{\frac{5}{2}}}-\frac{3 B \,b^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{256 c^{\frac{7}{2}}}-\frac{3 \sqrt{c \,x^{2}+b x}\, A \,b^{2} x}{32 c}+\frac{3 \sqrt{c \,x^{2}+b x}\, B \,b^{3} x}{64 c^{2}}-\frac{3 \sqrt{c \,x^{2}+b x}\, A \,b^{3}}{64 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} A x}{4}+\frac{3 \sqrt{c \,x^{2}+b x}\, B \,b^{4}}{128 c^{3}}-\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B b x}{8 c}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} A b}{8 c}-\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{2}}{16 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} B}{5 c}"," ",0,"1/5*B*(c*x^2+b*x)^(5/2)/c-1/8*B*b/c*x*(c*x^2+b*x)^(3/2)-1/16*B*b^2/c^2*(c*x^2+b*x)^(3/2)+3/64*B*b^3/c^2*(c*x^2+b*x)^(1/2)*x+3/128*B*b^4/c^3*(c*x^2+b*x)^(1/2)-3/256*B*b^5/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/4*A*x*(c*x^2+b*x)^(3/2)+1/8*A/c*(c*x^2+b*x)^(3/2)*b-3/32*A*b^2/c*(c*x^2+b*x)^(1/2)*x-3/64*A*b^3/c^2*(c*x^2+b*x)^(1/2)+3/128*A*b^4/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","B"
83,1,192,112,0.051000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/x,x)","-\frac{A \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{16 c^{\frac{3}{2}}}+\frac{3 B \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{128 c^{\frac{5}{2}}}+\frac{\sqrt{c \,x^{2}+b x}\, A b x}{4}-\frac{3 \sqrt{c \,x^{2}+b x}\, B \,b^{2} x}{32 c}+\frac{\sqrt{c \,x^{2}+b x}\, A \,b^{2}}{8 c}-\frac{3 \sqrt{c \,x^{2}+b x}\, B \,b^{3}}{64 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B x}{4}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} A}{3}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B b}{8 c}"," ",0,"1/4*B*x*(c*x^2+b*x)^(3/2)+1/8*B/c*(c*x^2+b*x)^(3/2)*b-3/32*B*b^2/c*(c*x^2+b*x)^(1/2)*x-3/64*B*b^3/c^2*(c*x^2+b*x)^(1/2)+3/128*B*b^4/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/3*A*(c*x^2+b*x)^(3/2)+1/4*A*b*(c*x^2+b*x)^(1/2)*x+1/8*A/c*(c*x^2+b*x)^(1/2)*b^2-1/16*A*b^3/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","A"
84,1,187,108,0.056000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/x^2,x)","\frac{3 A \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{8 \sqrt{c}}-\frac{B \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{16 c^{\frac{3}{2}}}-\frac{3 \sqrt{c \,x^{2}+b x}\, A c x}{2}+\frac{\sqrt{c \,x^{2}+b x}\, B b x}{4}-\frac{3 \sqrt{c \,x^{2}+b x}\, A b}{4}+\frac{\sqrt{c \,x^{2}+b x}\, B \,b^{2}}{8 c}-\frac{2 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A c}{b}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B}{3}+\frac{2 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} A}{b \,x^{2}}"," ",0,"2*A*(c*x^2+b*x)^(5/2)/b/x^2-2*A/b*c*(c*x^2+b*x)^(3/2)-3/2*A*c*(c*x^2+b*x)^(1/2)*x-3/4*A*b*(c*x^2+b*x)^(1/2)+3/8*A*b^2/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/3*B*(c*x^2+b*x)^(3/2)+1/4*B*b*(c*x^2+b*x)^(1/2)*x+1/8*B/c*(c*x^2+b*x)^(1/2)*b^2-1/16*B*b^3/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","A"
85,1,232,100,0.064000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/x^3,x)","\frac{3 A b \sqrt{c}\, \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2}+\frac{3 B \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{8 \sqrt{c}}-\frac{6 \sqrt{c \,x^{2}+b x}\, A \,c^{2} x}{b}-\frac{3 \sqrt{c \,x^{2}+b x}\, B c x}{2}-3 \sqrt{c \,x^{2}+b x}\, A c -\frac{3 \sqrt{c \,x^{2}+b x}\, B b}{4}-\frac{8 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,c^{2}}{b^{2}}-\frac{2 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B c}{b}+\frac{8 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} A c}{b^{2} x^{2}}+\frac{2 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B}{b \,x^{2}}-\frac{2 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} A}{b \,x^{3}}"," ",0,"-2*A*(c*x^2+b*x)^(5/2)/b/x^3+8*A/b^2*c/x^2*(c*x^2+b*x)^(5/2)-8*A/b^2*c^2*(c*x^2+b*x)^(3/2)-6*A/b*c^2*(c*x^2+b*x)^(1/2)*x-3*A*c*(c*x^2+b*x)^(1/2)+3/2*A*b*c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+2*B/b/x^2*(c*x^2+b*x)^(5/2)-2*B/b*c*(c*x^2+b*x)^(3/2)-3/2*B*c*(c*x^2+b*x)^(1/2)*x-3/4*B*b*(c*x^2+b*x)^(1/2)+3/8*B*b^2/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","B"
86,1,284,104,0.064000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/x^4,x)","A \,c^{\frac{3}{2}} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)+\frac{3 B b \sqrt{c}\, \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2}-\frac{4 \sqrt{c \,x^{2}+b x}\, A \,c^{3} x}{b^{2}}-\frac{6 \sqrt{c \,x^{2}+b x}\, B \,c^{2} x}{b}-\frac{2 \sqrt{c \,x^{2}+b x}\, A \,c^{2}}{b}-3 \sqrt{c \,x^{2}+b x}\, B c -\frac{16 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,c^{3}}{3 b^{3}}-\frac{8 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,c^{2}}{b^{2}}+\frac{16 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} A \,c^{2}}{3 b^{3} x^{2}}+\frac{8 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B c}{b^{2} x^{2}}-\frac{4 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} A c}{3 b^{2} x^{3}}-\frac{2 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B}{b \,x^{3}}-\frac{2 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} A}{3 b \,x^{4}}"," ",0,"-2/3*A*(c*x^2+b*x)^(5/2)/b/x^4-4/3*A/b^2*c/x^3*(c*x^2+b*x)^(5/2)+16/3*A/b^3*c^2/x^2*(c*x^2+b*x)^(5/2)-16/3*A/b^3*c^3*(c*x^2+b*x)^(3/2)-4*A/b^2*c^3*(c*x^2+b*x)^(1/2)*x-2*A/b*c^2*(c*x^2+b*x)^(1/2)+A*c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))-2*B/b/x^3*(c*x^2+b*x)^(5/2)+8*B/b^2*c/x^2*(c*x^2+b*x)^(5/2)-8*B/b^2*c^2*(c*x^2+b*x)^(3/2)-6*B/b*c^2*(c*x^2+b*x)^(1/2)*x-3*B*c*(c*x^2+b*x)^(1/2)+3/2*B*b*c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","B"
87,1,176,79,0.053000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/x^5,x)","B \,c^{\frac{3}{2}} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)-\frac{4 \sqrt{c \,x^{2}+b x}\, B \,c^{3} x}{b^{2}}-\frac{2 \sqrt{c \,x^{2}+b x}\, B \,c^{2}}{b}-\frac{16 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,c^{3}}{3 b^{3}}+\frac{16 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,c^{2}}{3 b^{3} x^{2}}-\frac{4 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B c}{3 b^{2} x^{3}}-\frac{2 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B}{3 b \,x^{4}}-\frac{2 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} A}{5 b \,x^{5}}"," ",0,"-2/5*A*(c*x^2+b*x)^(5/2)/b/x^5-2/3*B/b/x^4*(c*x^2+b*x)^(5/2)-4/3*B/b^2*c/x^3*(c*x^2+b*x)^(5/2)+16/3*B/b^3*c^2/x^2*(c*x^2+b*x)^(5/2)-16/3*B/b^3*c^3*(c*x^2+b*x)^(3/2)-4*B/b^2*c^3*(c*x^2+b*x)^(1/2)*x-2*B/b*c^2*(c*x^2+b*x)^(1/2)+B*c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","B"
88,1,40,49,0.048000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/x^6,x)","-\frac{2 \left(c x +b \right) \left(-2 A c x +7 B b x +5 A b \right) \left(c \,x^{2}+b x \right)^{\frac{3}{2}}}{35 b^{2} x^{5}}"," ",0,"-2/35*(c*x+b)*(-2*A*c*x+7*B*b*x+5*A*b)*(c*x^2+b*x)^(3/2)/b^2/x^5","A"
89,1,62,78,0.048000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/x^7,x)","-\frac{2 \left(c x +b \right) \left(8 A \,c^{2} x^{2}-18 B b c \,x^{2}-20 A b c x +45 B \,b^{2} x +35 A \,b^{2}\right) \left(c \,x^{2}+b x \right)^{\frac{3}{2}}}{315 b^{3} x^{6}}"," ",0,"-2/315*(c*x+b)*(8*A*c^2*x^2-18*B*b*c*x^2-20*A*b*c*x+45*B*b^2*x+35*A*b^2)*(c*x^2+b*x)^(3/2)/b^3/x^6","A"
90,1,86,109,0.050000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/x^8,x)","-\frac{2 \left(c x +b \right) \left(-48 A \,c^{3} x^{3}+88 B b \,c^{2} x^{3}+120 A b \,c^{2} x^{2}-220 B \,b^{2} c \,x^{2}-210 A \,b^{2} c x +385 B \,b^{3} x +315 A \,b^{3}\right) \left(c \,x^{2}+b x \right)^{\frac{3}{2}}}{3465 b^{4} x^{7}}"," ",0,"-2/3465*(c*x+b)*(-48*A*c^3*x^3+88*B*b*c^2*x^3+120*A*b*c^2*x^2-220*B*b^2*c*x^2-210*A*b^2*c*x+385*B*b^3*x+315*A*b^3)*(c*x^2+b*x)^(3/2)/x^7/b^4","A"
91,1,110,140,0.045000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/x^9,x)","-\frac{2 \left(c x +b \right) \left(128 A \,c^{4} x^{4}-208 B b \,c^{3} x^{4}-320 A b \,c^{3} x^{3}+520 B \,b^{2} c^{2} x^{3}+560 A \,b^{2} c^{2} x^{2}-910 B \,b^{3} c \,x^{2}-840 A \,b^{3} c x +1365 b^{4} B x +1155 A \,b^{4}\right) \left(c \,x^{2}+b x \right)^{\frac{3}{2}}}{15015 b^{5} x^{8}}"," ",0,"-2/15015*(c*x+b)*(128*A*c^4*x^4-208*B*b*c^3*x^4-320*A*b*c^3*x^3+520*B*b^2*c^2*x^3+560*A*b^2*c^2*x^2-910*B*b^3*c*x^2-840*A*b^3*c*x+1365*B*b^4*x+1155*A*b^4)*(c*x^2+b*x)^(3/2)/b^5/x^8","A"
92,1,134,171,0.048000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/x^10,x)","-\frac{2 \left(c x +b \right) \left(-256 A \,c^{5} x^{5}+384 B b \,c^{4} x^{5}+640 A b \,c^{4} x^{4}-960 B \,b^{2} c^{3} x^{4}-1120 A \,b^{2} c^{3} x^{3}+1680 B \,b^{3} c^{2} x^{3}+1680 A \,b^{3} c^{2} x^{2}-2520 B \,b^{4} c \,x^{2}-2310 A \,b^{4} c x +3465 B \,b^{5} x +3003 A \,b^{5}\right) \left(c \,x^{2}+b x \right)^{\frac{3}{2}}}{45045 b^{6} x^{9}}"," ",0,"-2/45045*(c*x+b)*(-256*A*c^5*x^5+384*B*b*c^4*x^5+640*A*b*c^4*x^4-960*B*b^2*c^3*x^4-1120*A*b^2*c^3*x^3+1680*B*b^3*c^2*x^3+1680*A*b^3*c^2*x^2-2520*B*b^4*c*x^2-2310*A*b^4*c*x+3465*B*b^5*x+3003*A*b^5)*(c*x^2+b*x)^(3/2)/x^9/b^6","A"
93,1,455,240,0.048000," ","int(x^3*(B*x+A)*(c*x^2+b*x)^(5/2),x)","\frac{55 A \,b^{9} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{65536 c^{\frac{13}{2}}}-\frac{143 B \,b^{10} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{262144 c^{\frac{15}{2}}}-\frac{55 \sqrt{c \,x^{2}+b x}\, A \,b^{7} x}{16384 c^{5}}+\frac{143 \sqrt{c \,x^{2}+b x}\, B \,b^{8} x}{65536 c^{6}}-\frac{55 \sqrt{c \,x^{2}+b x}\, A \,b^{8}}{32768 c^{6}}+\frac{55 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{5} x}{6144 c^{4}}+\frac{143 \sqrt{c \,x^{2}+b x}\, B \,b^{9}}{131072 c^{7}}-\frac{143 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{6} x}{24576 c^{5}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{7}{2}} B \,x^{3}}{10 c}+\frac{55 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{6}}{12288 c^{5}}-\frac{11 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} A \,b^{3} x}{384 c^{3}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{7}{2}} A \,x^{2}}{9 c}-\frac{143 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{7}}{49152 c^{6}}+\frac{143 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,b^{4} x}{7680 c^{4}}-\frac{13 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} B b \,x^{2}}{180 c^{2}}-\frac{11 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} A \,b^{4}}{768 c^{4}}-\frac{11 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} A b x}{144 c^{2}}+\frac{143 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,b^{5}}{15360 c^{5}}+\frac{143 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} B \,b^{2} x}{2880 c^{3}}+\frac{11 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} A \,b^{2}}{224 c^{3}}-\frac{143 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} B \,b^{3}}{4480 c^{4}}"," ",0,"1/10*B*x^3*(c*x^2+b*x)^(7/2)/c-13/180*B*b/c^2*x^2*(c*x^2+b*x)^(7/2)+143/2880*B*b^2/c^3*x*(c*x^2+b*x)^(7/2)-143/4480*B*b^3/c^4*(c*x^2+b*x)^(7/2)+143/7680*B*b^4/c^4*(c*x^2+b*x)^(5/2)*x+143/15360*B*b^5/c^5*(c*x^2+b*x)^(5/2)-143/24576*B*b^6/c^5*(c*x^2+b*x)^(3/2)*x-143/49152*B*b^7/c^6*(c*x^2+b*x)^(3/2)+143/65536*B*b^8/c^6*(c*x^2+b*x)^(1/2)*x+143/131072*B*b^9/c^7*(c*x^2+b*x)^(1/2)-143/262144*B*b^10/c^(15/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/9*A*x^2*(c*x^2+b*x)^(7/2)/c-11/144*A*b/c^2*x*(c*x^2+b*x)^(7/2)+11/224*A*b^2/c^3*(c*x^2+b*x)^(7/2)-11/384*A*b^3/c^3*(c*x^2+b*x)^(5/2)*x-11/768*A*b^4/c^4*(c*x^2+b*x)^(5/2)+55/6144*A*b^5/c^4*(c*x^2+b*x)^(3/2)*x+55/12288*A*b^6/c^5*(c*x^2+b*x)^(3/2)-55/16384*A*b^7/c^5*(c*x^2+b*x)^(1/2)*x-55/32768*A*b^8/c^6*(c*x^2+b*x)^(1/2)+55/65536*A*b^9/c^(13/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","A"
94,1,409,209,0.052000," ","int(x^2*(B*x+A)*(c*x^2+b*x)^(5/2),x)","-\frac{45 A \,b^{8} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{32768 c^{\frac{11}{2}}}+\frac{55 B \,b^{9} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{65536 c^{\frac{13}{2}}}+\frac{45 \sqrt{c \,x^{2}+b x}\, A \,b^{6} x}{8192 c^{4}}-\frac{55 \sqrt{c \,x^{2}+b x}\, B \,b^{7} x}{16384 c^{5}}+\frac{45 \sqrt{c \,x^{2}+b x}\, A \,b^{7}}{16384 c^{5}}-\frac{15 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{4} x}{1024 c^{3}}-\frac{55 \sqrt{c \,x^{2}+b x}\, B \,b^{8}}{32768 c^{6}}+\frac{55 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{5} x}{6144 c^{4}}-\frac{15 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{5}}{2048 c^{4}}+\frac{3 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} A \,b^{2} x}{64 c^{2}}+\frac{55 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{6}}{12288 c^{5}}-\frac{11 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,b^{3} x}{384 c^{3}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{7}{2}} B \,x^{2}}{9 c}+\frac{3 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} A \,b^{3}}{128 c^{3}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{7}{2}} A x}{8 c}-\frac{11 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,b^{4}}{768 c^{4}}-\frac{11 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} B b x}{144 c^{2}}-\frac{9 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} A b}{112 c^{2}}+\frac{11 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} B \,b^{2}}{224 c^{3}}"," ",0,"1/9*B*x^2*(c*x^2+b*x)^(7/2)/c-11/144*B*b/c^2*x*(c*x^2+b*x)^(7/2)+11/224*B*b^2/c^3*(c*x^2+b*x)^(7/2)-11/384*B*b^3/c^3*(c*x^2+b*x)^(5/2)*x-11/768*B*b^4/c^4*(c*x^2+b*x)^(5/2)+55/6144*B*b^5/c^4*(c*x^2+b*x)^(3/2)*x+55/12288*B*b^6/c^5*(c*x^2+b*x)^(3/2)-55/16384*B*b^7/c^5*(c*x^2+b*x)^(1/2)*x-55/32768*B*b^8/c^6*(c*x^2+b*x)^(1/2)+55/65536*B*b^9/c^(13/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/8*A*x*(c*x^2+b*x)^(7/2)/c-9/112*A*b/c^2*(c*x^2+b*x)^(7/2)+3/64*A*b^2/c^2*(c*x^2+b*x)^(5/2)*x+3/128*A*b^3/c^3*(c*x^2+b*x)^(5/2)-15/1024*A*b^4/c^3*(c*x^2+b*x)^(3/2)*x-15/2048*A*b^5/c^4*(c*x^2+b*x)^(3/2)+45/8192*A*b^6/c^4*(c*x^2+b*x)^(1/2)*x+45/16384*A*b^7/c^5*(c*x^2+b*x)^(1/2)-45/32768*A*b^8/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","A"
95,1,365,165,0.058000," ","int(x*(B*x+A)*(c*x^2+b*x)^(5/2),x)","\frac{5 A \,b^{7} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2048 c^{\frac{9}{2}}}-\frac{45 B \,b^{8} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{32768 c^{\frac{11}{2}}}-\frac{5 \sqrt{c \,x^{2}+b x}\, A \,b^{5} x}{512 c^{3}}+\frac{45 \sqrt{c \,x^{2}+b x}\, B \,b^{6} x}{8192 c^{4}}-\frac{5 \sqrt{c \,x^{2}+b x}\, A \,b^{6}}{1024 c^{4}}+\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{3} x}{192 c^{2}}+\frac{45 \sqrt{c \,x^{2}+b x}\, B \,b^{7}}{16384 c^{5}}-\frac{15 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{4} x}{1024 c^{3}}+\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{4}}{384 c^{3}}-\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} A b x}{12 c}-\frac{15 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{5}}{2048 c^{4}}+\frac{3 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,b^{2} x}{64 c^{2}}-\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} A \,b^{2}}{24 c^{2}}+\frac{3 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,b^{3}}{128 c^{3}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{7}{2}} B x}{8 c}+\frac{\left(c \,x^{2}+b x \right)^{\frac{7}{2}} A}{7 c}-\frac{9 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} B b}{112 c^{2}}"," ",0,"1/8*B*x*(c*x^2+b*x)^(7/2)/c-9/112*B*b/c^2*(c*x^2+b*x)^(7/2)+3/64*B*b^2/c^2*x*(c*x^2+b*x)^(5/2)+3/128*B*b^3/c^3*(c*x^2+b*x)^(5/2)-15/1024*B*b^4/c^3*(c*x^2+b*x)^(3/2)*x-15/2048*B*b^5/c^4*(c*x^2+b*x)^(3/2)+45/8192*B*b^6/c^4*(c*x^2+b*x)^(1/2)*x+45/16384*B*b^7/c^5*(c*x^2+b*x)^(1/2)-45/32768*B*b^8/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/7*A*(c*x^2+b*x)^(7/2)/c-1/12*A*b/c*x*(c*x^2+b*x)^(5/2)-1/24*A*b^2/c^2*(c*x^2+b*x)^(5/2)+5/192*A*b^3/c^2*(c*x^2+b*x)^(3/2)*x+5/384*A*b^4/c^3*(c*x^2+b*x)^(3/2)-5/512*A*b^5/c^3*(c*x^2+b*x)^(1/2)*x-5/1024*A*b^6/c^4*(c*x^2+b*x)^(1/2)+5/2048*A*b^7/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","B"
96,1,321,147,0.050000," ","int((B*x+A)*(c*x^2+b*x)^(5/2),x)","-\frac{5 A \,b^{6} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{1024 c^{\frac{7}{2}}}+\frac{5 B \,b^{7} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2048 c^{\frac{9}{2}}}+\frac{5 \sqrt{c \,x^{2}+b x}\, A \,b^{4} x}{256 c^{2}}-\frac{5 \sqrt{c \,x^{2}+b x}\, B \,b^{5} x}{512 c^{3}}+\frac{5 \sqrt{c \,x^{2}+b x}\, A \,b^{5}}{512 c^{3}}-\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{2} x}{96 c}-\frac{5 \sqrt{c \,x^{2}+b x}\, B \,b^{6}}{1024 c^{4}}+\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{3} x}{192 c^{2}}-\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{3}}{192 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} A x}{6}+\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{4}}{384 c^{3}}-\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} B b x}{12 c}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} A b}{12 c}-\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,b^{2}}{24 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{7}{2}} B}{7 c}"," ",0,"1/7*B*(c*x^2+b*x)^(7/2)/c-1/12*B*b/c*x*(c*x^2+b*x)^(5/2)-1/24*B*b^2/c^2*(c*x^2+b*x)^(5/2)+5/192*B*b^3/c^2*(c*x^2+b*x)^(3/2)*x+5/384*B*b^4/c^3*(c*x^2+b*x)^(3/2)-5/512*B*b^5/c^3*(c*x^2+b*x)^(1/2)*x-5/1024*B*b^6/c^4*(c*x^2+b*x)^(1/2)+5/2048*B*b^7/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/6*A*x*(c*x^2+b*x)^(5/2)+1/12*A/c*(c*x^2+b*x)^(5/2)*b-5/96*A*b^2/c*(c*x^2+b*x)^(3/2)*x-5/192*A*b^3/c^2*(c*x^2+b*x)^(3/2)+5/256*A*b^4/c^2*(c*x^2+b*x)^(1/2)*x+5/512*A*b^5/c^3*(c*x^2+b*x)^(1/2)-5/1024*A*b^6/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","B"
97,1,274,146,0.054000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/x,x)","\frac{3 A \,b^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{256 c^{\frac{5}{2}}}-\frac{5 B \,b^{6} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{1024 c^{\frac{7}{2}}}-\frac{3 \sqrt{c \,x^{2}+b x}\, A \,b^{3} x}{64 c}+\frac{5 \sqrt{c \,x^{2}+b x}\, B \,b^{4} x}{256 c^{2}}-\frac{3 \sqrt{c \,x^{2}+b x}\, A \,b^{4}}{128 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} A b x}{8}+\frac{5 \sqrt{c \,x^{2}+b x}\, B \,b^{5}}{512 c^{3}}-\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{2} x}{96 c}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{2}}{16 c}-\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{3}}{192 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} B x}{6}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} A}{5}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} B b}{12 c}"," ",0,"1/6*B*x*(c*x^2+b*x)^(5/2)+1/12*B/c*(c*x^2+b*x)^(5/2)*b-5/96*B*b^2/c*(c*x^2+b*x)^(3/2)*x-5/192*B*b^3/c^2*(c*x^2+b*x)^(3/2)+5/256*B*b^4/c^2*(c*x^2+b*x)^(1/2)*x+5/512*B*b^5/c^3*(c*x^2+b*x)^(1/2)-5/1024*B*b^6/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/5*A*(c*x^2+b*x)^(5/2)+1/8*A*b*(c*x^2+b*x)^(3/2)*x+1/16*A/c*(c*x^2+b*x)^(3/2)*b^2-3/64*A*b^3/c*(c*x^2+b*x)^(1/2)*x-3/128*A*b^4/c^2*(c*x^2+b*x)^(1/2)+3/256*A*b^5/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","A"
98,1,266,145,0.053000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/x^2,x)","-\frac{5 A \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{128 c^{\frac{3}{2}}}+\frac{3 B \,b^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{256 c^{\frac{5}{2}}}+\frac{5 \sqrt{c \,x^{2}+b x}\, A \,b^{2} x}{32}-\frac{3 \sqrt{c \,x^{2}+b x}\, B \,b^{3} x}{64 c}+\frac{5 \sqrt{c \,x^{2}+b x}\, A \,b^{3}}{64 c}-\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A c x}{12}-\frac{3 \sqrt{c \,x^{2}+b x}\, B \,b^{4}}{128 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B b x}{8}-\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A b}{24}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{2}}{16 c}-\frac{2 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} A c}{3 b}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} B}{5}+\frac{2 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} A}{3 b \,x^{2}}"," ",0,"2/3*A*(c*x^2+b*x)^(7/2)/b/x^2-2/3*A/b*c*(c*x^2+b*x)^(5/2)-5/12*A*c*(c*x^2+b*x)^(3/2)*x-5/24*A*b*(c*x^2+b*x)^(3/2)+5/32*A*b^2*(c*x^2+b*x)^(1/2)*x+5/64*A*b^3/c*(c*x^2+b*x)^(1/2)-5/128*A*b^4/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/5*B*(c*x^2+b*x)^(5/2)+1/8*B*b*(c*x^2+b*x)^(3/2)*x+1/16*B/c*(c*x^2+b*x)^(3/2)*b^2-3/64*B*b^3/c*(c*x^2+b*x)^(1/2)*x-3/128*B*b^4/c^2*(c*x^2+b*x)^(1/2)+3/256*B*b^5/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","A"
99,1,306,133,0.063000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/x^3,x)","\frac{5 A \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{16 \sqrt{c}}-\frac{5 B \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{128 c^{\frac{3}{2}}}-\frac{5 \sqrt{c \,x^{2}+b x}\, A b c x}{4}+\frac{5 \sqrt{c \,x^{2}+b x}\, B \,b^{2} x}{32}-\frac{5 \sqrt{c \,x^{2}+b x}\, A \,b^{2}}{8}+\frac{10 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,c^{2} x}{3 b}+\frac{5 \sqrt{c \,x^{2}+b x}\, B \,b^{3}}{64 c}-\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B c x}{12}+\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A c}{3}-\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B b}{24}+\frac{16 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} A \,c^{2}}{3 b^{2}}-\frac{2 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B c}{3 b}-\frac{16 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} A c}{3 b^{2} x^{2}}+\frac{2 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} B}{3 b \,x^{2}}+\frac{2 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} A}{b \,x^{3}}"," ",0,"2*A*(c*x^2+b*x)^(7/2)/b/x^3-16/3*A/b^2*c/x^2*(c*x^2+b*x)^(7/2)+16/3*A/b^2*c^2*(c*x^2+b*x)^(5/2)+10/3*A/b*c^2*(c*x^2+b*x)^(3/2)*x+5/3*A*c*(c*x^2+b*x)^(3/2)-5/4*A*b*c*(c*x^2+b*x)^(1/2)*x-5/8*A*b^2*(c*x^2+b*x)^(1/2)+5/16*A*b^3/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+2/3*B/b/x^2*(c*x^2+b*x)^(7/2)-2/3*B/b*c*(c*x^2+b*x)^(5/2)-5/12*B*c*(c*x^2+b*x)^(3/2)*x-5/24*B*b*(c*x^2+b*x)^(3/2)+5/32*B*b^2*(c*x^2+b*x)^(1/2)*x+5/64*B*b^3/c*(c*x^2+b*x)^(1/2)-5/128*B*b^4/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","B"
100,1,358,133,0.060000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/x^4,x)","\frac{15 A \,b^{2} \sqrt{c}\, \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{8}+\frac{5 B \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{16 \sqrt{c}}-\frac{15 \sqrt{c \,x^{2}+b x}\, A \,c^{2} x}{2}-\frac{5 \sqrt{c \,x^{2}+b x}\, B b c x}{4}-\frac{15 \sqrt{c \,x^{2}+b x}\, A b c}{4}+\frac{20 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,c^{3} x}{b^{2}}-\frac{5 \sqrt{c \,x^{2}+b x}\, B \,b^{2}}{8}+\frac{10 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,c^{2} x}{3 b}+\frac{10 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,c^{2}}{b}+\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B c}{3}+\frac{32 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} A \,c^{3}}{b^{3}}+\frac{16 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,c^{2}}{3 b^{2}}-\frac{32 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} A \,c^{2}}{b^{3} x^{2}}-\frac{16 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} B c}{3 b^{2} x^{2}}+\frac{12 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} A c}{b^{2} x^{3}}+\frac{2 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} B}{b \,x^{3}}-\frac{2 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} A}{b \,x^{4}}"," ",0,"-2*A*(c*x^2+b*x)^(7/2)/b/x^4+12*A/b^2*c/x^3*(c*x^2+b*x)^(7/2)-32*A/b^3*c^2/x^2*(c*x^2+b*x)^(7/2)+32*A/b^3*c^3*(c*x^2+b*x)^(5/2)+20*A/b^2*c^3*(c*x^2+b*x)^(3/2)*x+10*A/b*c^2*(c*x^2+b*x)^(3/2)-15/2*A*c^2*(c*x^2+b*x)^(1/2)*x-15/4*A*b*c*(c*x^2+b*x)^(1/2)+15/8*A*b^2*c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+2*B/b/x^3*(c*x^2+b*x)^(7/2)-16/3*B/b^2*c/x^2*(c*x^2+b*x)^(7/2)+16/3*B/b^2*c^2*(c*x^2+b*x)^(5/2)+10/3*B/b*c^2*(c*x^2+b*x)^(3/2)*x+5/3*B*c*(c*x^2+b*x)^(3/2)-5/4*B*b*c*(c*x^2+b*x)^(1/2)*x-5/8*B*b^2*(c*x^2+b*x)^(1/2)+5/16*B*b^3/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","B"
101,1,411,133,0.052000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/x^5,x)","\frac{5 A b \,c^{\frac{3}{2}} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2}+\frac{15 B \,b^{2} \sqrt{c}\, \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{8}-\frac{10 \sqrt{c \,x^{2}+b x}\, A \,c^{3} x}{b}-\frac{15 \sqrt{c \,x^{2}+b x}\, B \,c^{2} x}{2}+\frac{80 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,c^{4} x}{3 b^{3}}-5 \sqrt{c \,x^{2}+b x}\, A \,c^{2}-\frac{15 \sqrt{c \,x^{2}+b x}\, B b c}{4}+\frac{20 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,c^{3} x}{b^{2}}+\frac{40 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,c^{3}}{3 b^{2}}+\frac{10 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,c^{2}}{b}+\frac{128 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} A \,c^{4}}{3 b^{4}}+\frac{32 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,c^{3}}{b^{3}}-\frac{128 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} A \,c^{3}}{3 b^{4} x^{2}}-\frac{32 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} B \,c^{2}}{b^{3} x^{2}}+\frac{16 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} A \,c^{2}}{b^{3} x^{3}}+\frac{12 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} B c}{b^{2} x^{3}}-\frac{8 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} A c}{3 b^{2} x^{4}}-\frac{2 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} B}{b \,x^{4}}-\frac{2 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} A}{3 b \,x^{5}}"," ",0,"-2/3*A*(c*x^2+b*x)^(7/2)/b/x^5-8/3*A/b^2*c/x^4*(c*x^2+b*x)^(7/2)+16*A/b^3*c^2/x^3*(c*x^2+b*x)^(7/2)-128/3*A/b^4*c^3/x^2*(c*x^2+b*x)^(7/2)+128/3*A/b^4*c^4*(c*x^2+b*x)^(5/2)+80/3*A/b^3*c^4*(c*x^2+b*x)^(3/2)*x+40/3*A/b^2*c^3*(c*x^2+b*x)^(3/2)-10*A/b*c^3*(c*x^2+b*x)^(1/2)*x-5*A*c^2*(c*x^2+b*x)^(1/2)+5/2*A*b*c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))-2*B/b/x^4*(c*x^2+b*x)^(7/2)+12*B/b^2*c/x^3*(c*x^2+b*x)^(7/2)-32*B/b^3*c^2/x^2*(c*x^2+b*x)^(7/2)+32*B/b^3*c^3*(c*x^2+b*x)^(5/2)+20*B/b^2*c^3*(c*x^2+b*x)^(3/2)*x+10*B/b*c^2*(c*x^2+b*x)^(3/2)-15/2*B*c^2*(c*x^2+b*x)^(1/2)*x-15/4*B*b*c*(c*x^2+b*x)^(1/2)+15/8*B*b^2*c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","B"
102,1,460,135,0.058000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/x^6,x)","A \,c^{\frac{5}{2}} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)+\frac{5 B b \,c^{\frac{3}{2}} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2}-\frac{4 \sqrt{c \,x^{2}+b x}\, A \,c^{4} x}{b^{2}}-\frac{10 \sqrt{c \,x^{2}+b x}\, B \,c^{3} x}{b}-\frac{2 \sqrt{c \,x^{2}+b x}\, A \,c^{3}}{b}+\frac{32 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,c^{5} x}{3 b^{4}}+\frac{80 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,c^{4} x}{3 b^{3}}-5 \sqrt{c \,x^{2}+b x}\, B \,c^{2}+\frac{16 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,c^{4}}{3 b^{3}}+\frac{40 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,c^{3}}{3 b^{2}}+\frac{256 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} A \,c^{5}}{15 b^{5}}+\frac{128 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,c^{4}}{3 b^{4}}-\frac{256 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} A \,c^{4}}{15 b^{5} x^{2}}-\frac{128 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} B \,c^{3}}{3 b^{4} x^{2}}+\frac{32 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} A \,c^{3}}{5 b^{4} x^{3}}+\frac{16 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} B \,c^{2}}{b^{3} x^{3}}-\frac{16 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} A \,c^{2}}{15 b^{3} x^{4}}-\frac{8 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} B c}{3 b^{2} x^{4}}-\frac{4 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} A c}{15 b^{2} x^{5}}-\frac{2 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} B}{3 b \,x^{5}}-\frac{2 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} A}{5 b \,x^{6}}"," ",0,"-2/5*A*(c*x^2+b*x)^(7/2)/b/x^6-4/15*A/b^2*c/x^5*(c*x^2+b*x)^(7/2)-16/15*A/b^3*c^2/x^4*(c*x^2+b*x)^(7/2)+32/5*A/b^4*c^3/x^3*(c*x^2+b*x)^(7/2)-256/15*A/b^5*c^4/x^2*(c*x^2+b*x)^(7/2)+256/15*A/b^5*c^5*(c*x^2+b*x)^(5/2)+32/3*A/b^4*c^5*(c*x^2+b*x)^(3/2)*x+16/3*A/b^3*c^4*(c*x^2+b*x)^(3/2)-4*A/b^2*c^4*(c*x^2+b*x)^(1/2)*x-2*A/b*c^3*(c*x^2+b*x)^(1/2)+A*c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))-2/3*B/b/x^5*(c*x^2+b*x)^(7/2)-8/3*B/b^2*c/x^4*(c*x^2+b*x)^(7/2)+16*B/b^3*c^2/x^3*(c*x^2+b*x)^(7/2)-128/3*B/b^4*c^3/x^2*(c*x^2+b*x)^(7/2)+128/3*B/b^4*c^4*(c*x^2+b*x)^(5/2)+80/3*B/b^3*c^4*(c*x^2+b*x)^(3/2)*x+40/3*B/b^2*c^3*(c*x^2+b*x)^(3/2)-10*B/b*c^3*(c*x^2+b*x)^(1/2)*x-5*B*c^2*(c*x^2+b*x)^(1/2)+5/2*B*b*c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","B"
103,1,263,99,0.060000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/x^7,x)","B \,c^{\frac{5}{2}} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)-\frac{4 \sqrt{c \,x^{2}+b x}\, B \,c^{4} x}{b^{2}}-\frac{2 \sqrt{c \,x^{2}+b x}\, B \,c^{3}}{b}+\frac{32 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,c^{5} x}{3 b^{4}}+\frac{16 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,c^{4}}{3 b^{3}}+\frac{256 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,c^{5}}{15 b^{5}}-\frac{256 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} B \,c^{4}}{15 b^{5} x^{2}}+\frac{32 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} B \,c^{3}}{5 b^{4} x^{3}}-\frac{16 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} B \,c^{2}}{15 b^{3} x^{4}}-\frac{4 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} B c}{15 b^{2} x^{5}}-\frac{2 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} B}{5 b \,x^{6}}-\frac{2 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} A}{7 b \,x^{7}}"," ",0,"-2/5*B/b/x^6*(c*x^2+b*x)^(7/2)-4/15*B/b^2*c/x^5*(c*x^2+b*x)^(7/2)-16/15*B/b^3*c^2/x^4*(c*x^2+b*x)^(7/2)+32/5*B/b^4*c^3/x^3*(c*x^2+b*x)^(7/2)-256/15*B/b^5*c^4/x^2*(c*x^2+b*x)^(7/2)+256/15*B/b^5*c^5*(c*x^2+b*x)^(5/2)+32/3*B/b^4*c^5*(c*x^2+b*x)^(3/2)*x+16/3*B/b^3*c^4*(c*x^2+b*x)^(3/2)-4*B/b^2*c^4*(c*x^2+b*x)^(1/2)*x-2*B/b*c^3*(c*x^2+b*x)^(1/2)+B*c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))-2/7*A*(c*x^2+b*x)^(7/2)/b/x^7","B"
104,1,40,49,0.044000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/x^8,x)","-\frac{2 \left(c x +b \right) \left(-2 A c x +9 B b x +7 A b \right) \left(c \,x^{2}+b x \right)^{\frac{5}{2}}}{63 b^{2} x^{7}}"," ",0,"-2/63*(c*x+b)*(-2*A*c*x+9*B*b*x+7*A*b)*(c*x^2+b*x)^(5/2)/b^2/x^7","A"
105,1,62,78,0.048000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/x^9,x)","-\frac{2 \left(c x +b \right) \left(8 A \,c^{2} x^{2}-22 B b c \,x^{2}-28 A b c x +77 B \,b^{2} x +63 A \,b^{2}\right) \left(c \,x^{2}+b x \right)^{\frac{5}{2}}}{693 b^{3} x^{8}}"," ",0,"-2/693*(c*x+b)*(8*A*c^2*x^2-22*B*b*c*x^2-28*A*b*c*x+77*B*b^2*x+63*A*b^2)*(c*x^2+b*x)^(5/2)/b^3/x^8","A"
106,1,86,109,0.047000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/x^10,x)","-\frac{2 \left(c x +b \right) \left(-48 A \,c^{3} x^{3}+104 B b \,c^{2} x^{3}+168 A b \,c^{2} x^{2}-364 B \,b^{2} c \,x^{2}-378 A \,b^{2} c x +819 B \,b^{3} x +693 A \,b^{3}\right) \left(c \,x^{2}+b x \right)^{\frac{5}{2}}}{9009 b^{4} x^{9}}"," ",0,"-2/9009*(c*x+b)*(-48*A*c^3*x^3+104*B*b*c^2*x^3+168*A*b*c^2*x^2-364*B*b^2*c*x^2-378*A*b^2*c*x+819*B*b^3*x+693*A*b^3)*(c*x^2+b*x)^(5/2)/x^9/b^4","A"
107,1,110,140,0.049000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/x^11,x)","-\frac{2 \left(c x +b \right) \left(128 A \,c^{4} x^{4}-240 B b \,c^{3} x^{4}-448 A b \,c^{3} x^{3}+840 B \,b^{2} c^{2} x^{3}+1008 A \,b^{2} c^{2} x^{2}-1890 B \,b^{3} c \,x^{2}-1848 A \,b^{3} c x +3465 b^{4} B x +3003 A \,b^{4}\right) \left(c \,x^{2}+b x \right)^{\frac{5}{2}}}{45045 b^{5} x^{10}}"," ",0,"-2/45045*(c*x+b)*(128*A*c^4*x^4-240*B*b*c^3*x^4-448*A*b*c^3*x^3+840*B*b^2*c^2*x^3+1008*A*b^2*c^2*x^2-1890*B*b^3*c*x^2-1848*A*b^3*c*x+3465*B*b^4*x+3003*A*b^4)*(c*x^2+b*x)^(5/2)/b^5/x^10","A"
108,1,134,171,0.049000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/x^12,x)","-\frac{2 \left(c x +b \right) \left(-1280 A \,c^{5} x^{5}+2176 B b \,c^{4} x^{5}+4480 A b \,c^{4} x^{4}-7616 B \,b^{2} c^{3} x^{4}-10080 A \,b^{2} c^{3} x^{3}+17136 B \,b^{3} c^{2} x^{3}+18480 A \,b^{3} c^{2} x^{2}-31416 B \,b^{4} c \,x^{2}-30030 A \,b^{4} c x +51051 B \,b^{5} x +45045 A \,b^{5}\right) \left(c \,x^{2}+b x \right)^{\frac{5}{2}}}{765765 b^{6} x^{11}}"," ",0,"-2/765765*(c*x+b)*(-1280*A*c^5*x^5+2176*B*b*c^4*x^5+4480*A*b*c^4*x^4-7616*B*b^2*c^3*x^4-10080*A*b^2*c^3*x^3+17136*B*b^3*c^2*x^3+18480*A*b^3*c^2*x^2-31416*B*b^4*c*x^2-30030*A*b^4*c*x+51051*B*b^5*x+45045*A*b^5)*(c*x^2+b*x)^(5/2)/x^11/b^6","A"
109,1,255,169,0.052000," ","int(x^4*(B*x+A)/(c*x^2+b*x)^(1/2),x)","\frac{\sqrt{c \,x^{2}+b x}\, B \,x^{4}}{5 c}+\frac{\sqrt{c \,x^{2}+b x}\, A \,x^{3}}{4 c}-\frac{9 \sqrt{c \,x^{2}+b x}\, B b \,x^{3}}{40 c^{2}}-\frac{7 \sqrt{c \,x^{2}+b x}\, A b \,x^{2}}{24 c^{2}}+\frac{21 \sqrt{c \,x^{2}+b x}\, B \,b^{2} x^{2}}{80 c^{3}}+\frac{35 A \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{128 c^{\frac{9}{2}}}-\frac{63 B \,b^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{256 c^{\frac{11}{2}}}+\frac{35 \sqrt{c \,x^{2}+b x}\, A \,b^{2} x}{96 c^{3}}-\frac{21 \sqrt{c \,x^{2}+b x}\, B \,b^{3} x}{64 c^{4}}-\frac{35 \sqrt{c \,x^{2}+b x}\, A \,b^{3}}{64 c^{4}}+\frac{63 \sqrt{c \,x^{2}+b x}\, B \,b^{4}}{128 c^{5}}"," ",0,"1/5*B*x^4*(c*x^2+b*x)^(1/2)/c-9/40*B*b/c^2*x^3*(c*x^2+b*x)^(1/2)+21/80*B*b^2/c^3*x^2*(c*x^2+b*x)^(1/2)-21/64*B*b^3/c^4*x*(c*x^2+b*x)^(1/2)+63/128*B*b^4/c^5*(c*x^2+b*x)^(1/2)-63/256*B*b^5/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/4*A*x^3/c*(c*x^2+b*x)^(1/2)-7/24*A*b/c^2*x^2*(c*x^2+b*x)^(1/2)+35/96*A*b^2/c^3*x*(c*x^2+b*x)^(1/2)-35/64*A*b^3/c^4*(c*x^2+b*x)^(1/2)+35/128*A*b^4/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","A"
110,1,209,138,0.054000," ","int(x^3*(B*x+A)/(c*x^2+b*x)^(1/2),x)","\frac{\sqrt{c \,x^{2}+b x}\, B \,x^{3}}{4 c}+\frac{\sqrt{c \,x^{2}+b x}\, A \,x^{2}}{3 c}-\frac{7 \sqrt{c \,x^{2}+b x}\, B b \,x^{2}}{24 c^{2}}-\frac{5 A \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{16 c^{\frac{7}{2}}}+\frac{35 B \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{128 c^{\frac{9}{2}}}-\frac{5 \sqrt{c \,x^{2}+b x}\, A b x}{12 c^{2}}+\frac{35 \sqrt{c \,x^{2}+b x}\, B \,b^{2} x}{96 c^{3}}+\frac{5 \sqrt{c \,x^{2}+b x}\, A \,b^{2}}{8 c^{3}}-\frac{35 \sqrt{c \,x^{2}+b x}\, B \,b^{3}}{64 c^{4}}"," ",0,"1/4*B*x^3*(c*x^2+b*x)^(1/2)/c-7/24*B*b/c^2*x^2*(c*x^2+b*x)^(1/2)+35/96*B*b^2/c^3*x*(c*x^2+b*x)^(1/2)-35/64*B*b^3/c^4*(c*x^2+b*x)^(1/2)+35/128*B*b^4/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/3*A*x^2/c*(c*x^2+b*x)^(1/2)-5/12*A*b/c^2*x*(c*x^2+b*x)^(1/2)+5/8*A*b^2/c^3*(c*x^2+b*x)^(1/2)-5/16*A*b^3/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","A"
111,1,163,107,0.058000," ","int(x^2*(B*x+A)/(c*x^2+b*x)^(1/2),x)","\frac{\sqrt{c \,x^{2}+b x}\, B \,x^{2}}{3 c}+\frac{3 A \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{8 c^{\frac{5}{2}}}-\frac{5 B \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{16 c^{\frac{7}{2}}}+\frac{\sqrt{c \,x^{2}+b x}\, A x}{2 c}-\frac{5 \sqrt{c \,x^{2}+b x}\, B b x}{12 c^{2}}-\frac{3 \sqrt{c \,x^{2}+b x}\, A b}{4 c^{2}}+\frac{5 \sqrt{c \,x^{2}+b x}\, B \,b^{2}}{8 c^{3}}"," ",0,"1/3*B*x^2*(c*x^2+b*x)^(1/2)/c-5/12*B*b/c^2*x*(c*x^2+b*x)^(1/2)+5/8*B*b^2/c^3*(c*x^2+b*x)^(1/2)-5/16*B*b^3/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/2*A*x/c*(c*x^2+b*x)^(1/2)-3/4*A*b/c^2*(c*x^2+b*x)^(1/2)+3/8*A*b^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","A"
112,1,118,63,0.051000," ","int(x*(B*x+A)/(c*x^2+b*x)^(1/2),x)","-\frac{A b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2 c^{\frac{3}{2}}}+\frac{3 B \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{8 c^{\frac{5}{2}}}+\frac{\sqrt{c \,x^{2}+b x}\, B x}{2 c}+\frac{\sqrt{c \,x^{2}+b x}\, A}{c}-\frac{3 \sqrt{c \,x^{2}+b x}\, B b}{4 c^{2}}"," ",0,"1/2*B*x/c*(c*x^2+b*x)^(1/2)-3/4*B*b/c^2*(c*x^2+b*x)^(1/2)+3/8*B*b^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+A/c*(c*x^2+b*x)^(1/2)-1/2*A*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","A"
113,1,78,47,0.056000," ","int((B*x+A)/(c*x^2+b*x)^(1/2),x)","\frac{A \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{\sqrt{c}}-\frac{B b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2 c^{\frac{3}{2}}}+\frac{\sqrt{c \,x^{2}+b x}\, B}{c}"," ",0,"B*(c*x^2+b*x)^(1/2)/c-1/2*B*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+A*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))/c^(1/2)","A"
114,1,51,44,0.048000," ","int((B*x+A)/x/(c*x^2+b*x)^(1/2),x)","\frac{B \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{\sqrt{c}}-\frac{2 \sqrt{c \,x^{2}+b x}\, A}{b x}"," ",0,"B*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))/c^(1/2)-2*A*(c*x^2+b*x)^(1/2)/b/x","A"
115,1,39,49,0.052000," ","int((B*x+A)/x^2/(c*x^2+b*x)^(1/2),x)","-\frac{2 \left(c x +b \right) \left(-2 A c x +3 B b x +A b \right)}{3 \sqrt{c \,x^{2}+b x}\, b^{2} x}"," ",0,"-2/3*(c*x+b)*(-2*A*c*x+3*B*b*x+A*b)/x/b^2/(c*x^2+b*x)^(1/2)","A"
116,1,62,78,0.047000," ","int((B*x+A)/x^3/(c*x^2+b*x)^(1/2),x)","-\frac{2 \left(c x +b \right) \left(8 A \,c^{2} x^{2}-10 B b c \,x^{2}-4 A b c x +5 B \,b^{2} x +3 A \,b^{2}\right)}{15 \sqrt{c \,x^{2}+b x}\, b^{3} x^{2}}"," ",0,"-2/15*(c*x+b)*(8*A*c^2*x^2-10*B*b*c*x^2-4*A*b*c*x+5*B*b^2*x+3*A*b^2)/x^2/b^3/(c*x^2+b*x)^(1/2)","A"
117,1,86,109,0.046000," ","int((B*x+A)/x^4/(c*x^2+b*x)^(1/2),x)","-\frac{2 \left(c x +b \right) \left(-48 A \,c^{3} x^{3}+56 B b \,c^{2} x^{3}+24 A b \,c^{2} x^{2}-28 B \,b^{2} c \,x^{2}-18 A \,b^{2} c x +21 B \,b^{3} x +15 A \,b^{3}\right)}{105 \sqrt{c \,x^{2}+b x}\, b^{4} x^{3}}"," ",0,"-2/105*(c*x+b)*(-48*A*c^3*x^3+56*B*b*c^2*x^3+24*A*b*c^2*x^2-28*B*b^2*c*x^2-18*A*b^2*c*x+21*B*b^3*x+15*A*b^3)/x^3/b^4/(c*x^2+b*x)^(1/2)","A"
118,1,110,140,0.049000," ","int((B*x+A)/x^5/(c*x^2+b*x)^(1/2),x)","-\frac{2 \left(c x +b \right) \left(128 A \,c^{4} x^{4}-144 B b \,c^{3} x^{4}-64 A b \,c^{3} x^{3}+72 B \,b^{2} c^{2} x^{3}+48 A \,b^{2} c^{2} x^{2}-54 B \,b^{3} c \,x^{2}-40 A \,b^{3} c x +45 b^{4} B x +35 A \,b^{4}\right)}{315 \sqrt{c \,x^{2}+b x}\, b^{5} x^{4}}"," ",0,"-2/315*(c*x+b)*(128*A*c^4*x^4-144*B*b*c^3*x^4-64*A*b*c^3*x^3+72*B*b^2*c^2*x^3+48*A*b^2*c^2*x^2-54*B*b^3*c*x^2-40*A*b^3*c*x+45*B*b^4*x+35*A*b^4)/x^4/b^5/(c*x^2+b*x)^(1/2)","A"
119,1,134,171,0.049000," ","int((B*x+A)/x^6/(c*x^2+b*x)^(1/2),x)","-\frac{2 \left(c x +b \right) \left(-1280 A \,c^{5} x^{5}+1408 B b \,c^{4} x^{5}+640 A b \,c^{4} x^{4}-704 B \,b^{2} c^{3} x^{4}-480 A \,b^{2} c^{3} x^{3}+528 B \,b^{3} c^{2} x^{3}+400 A \,b^{3} c^{2} x^{2}-440 B \,b^{4} c \,x^{2}-350 A \,b^{4} c x +385 B \,b^{5} x +315 A \,b^{5}\right)}{3465 \sqrt{c \,x^{2}+b x}\, b^{6} x^{5}}"," ",0,"-2/3465*(c*x+b)*(-1280*A*c^5*x^5+1408*B*b*c^4*x^5+640*A*b*c^4*x^4-704*B*b^2*c^3*x^4-480*A*b^2*c^3*x^3+528*B*b^3*c^2*x^3+400*A*b^3*c^2*x^2-440*B*b^4*c*x^2-350*A*b^4*c*x+385*B*b^5*x+315*A*b^5)/x^5/b^6/(c*x^2+b*x)^(1/2)","A"
120,1,215,148,0.057000," ","int(x^4*(B*x+A)/(c*x^2+b*x)^(3/2),x)","\frac{B \,x^{4}}{3 \sqrt{c \,x^{2}+b x}\, c}+\frac{A \,x^{3}}{2 \sqrt{c \,x^{2}+b x}\, c}-\frac{7 B b \,x^{3}}{12 \sqrt{c \,x^{2}+b x}\, c^{2}}-\frac{5 A b \,x^{2}}{4 \sqrt{c \,x^{2}+b x}\, c^{2}}+\frac{35 B \,b^{2} x^{2}}{24 \sqrt{c \,x^{2}+b x}\, c^{3}}-\frac{15 A \,b^{2} x}{4 \sqrt{c \,x^{2}+b x}\, c^{3}}+\frac{35 B \,b^{3} x}{8 \sqrt{c \,x^{2}+b x}\, c^{4}}+\frac{15 A \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{8 c^{\frac{7}{2}}}-\frac{35 B \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{16 c^{\frac{9}{2}}}"," ",0,"1/3*B*x^4/c/(c*x^2+b*x)^(1/2)-7/12*B*b/c^2*x^3/(c*x^2+b*x)^(1/2)+35/24*B*b^2/c^3*x^2/(c*x^2+b*x)^(1/2)+35/8*B*b^3/c^4/(c*x^2+b*x)^(1/2)*x-35/16*B*b^3/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/2*A*x^3/c/(c*x^2+b*x)^(1/2)-5/4*A*b/c^2*x^2/(c*x^2+b*x)^(1/2)-15/4*A*b^2/c^3/(c*x^2+b*x)^(1/2)*x+15/8*A*b^2/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","A"
121,1,166,117,0.051000," ","int(x^3*(B*x+A)/(c*x^2+b*x)^(3/2),x)","\frac{B \,x^{3}}{2 \sqrt{c \,x^{2}+b x}\, c}+\frac{A \,x^{2}}{\sqrt{c \,x^{2}+b x}\, c}-\frac{5 B b \,x^{2}}{4 \sqrt{c \,x^{2}+b x}\, c^{2}}+\frac{3 A b x}{\sqrt{c \,x^{2}+b x}\, c^{2}}-\frac{15 B \,b^{2} x}{4 \sqrt{c \,x^{2}+b x}\, c^{3}}-\frac{3 A b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2 c^{\frac{5}{2}}}+\frac{15 B \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{8 c^{\frac{7}{2}}}"," ",0,"1/2*B*x^3/c/(c*x^2+b*x)^(1/2)-5/4*B*b/c^2*x^2/(c*x^2+b*x)^(1/2)-15/4*B*b^2/c^3/(c*x^2+b*x)^(1/2)*x+15/8*B*b^2/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+A*x^2/c/(c*x^2+b*x)^(1/2)+3*A*b/c^2/(c*x^2+b*x)^(1/2)*x-3/2*A*b/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","A"
122,1,118,89,0.052000," ","int(x^2*(B*x+A)/(c*x^2+b*x)^(3/2),x)","\frac{B \,x^{2}}{\sqrt{c \,x^{2}+b x}\, c}-\frac{2 A x}{\sqrt{c \,x^{2}+b x}\, c}+\frac{3 B b x}{\sqrt{c \,x^{2}+b x}\, c^{2}}+\frac{A \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{c^{\frac{3}{2}}}-\frac{3 B b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2 c^{\frac{5}{2}}}"," ",0,"B*x^2/c/(c*x^2+b*x)^(1/2)+3*B*b/c^2/(c*x^2+b*x)^(1/2)*x-3/2*B*b/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))-2*A/c/(c*x^2+b*x)^(1/2)*x+A/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","A"
123,1,67,52,0.052000," ","int(x*(B*x+A)/(c*x^2+b*x)^(3/2),x)","\frac{2 A x}{\sqrt{c \,x^{2}+b x}\, b}-\frac{2 B x}{\sqrt{c \,x^{2}+b x}\, c}+\frac{B \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{c^{\frac{3}{2}}}"," ",0,"-2*B/c/(c*x^2+b*x)^(1/2)*x+B/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+2*A/b/(c*x^2+b*x)^(1/2)*x","A"
124,1,37,31,0.051000," ","int((B*x+A)/(c*x^2+b*x)^(3/2),x)","-\frac{2 \left(c x +b \right) \left(2 A c x -B b x +A b \right) x}{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} b^{2}}"," ",0,"-2*(c*x+b)*x*(2*A*c*x-B*b*x+A*b)/b^2/(c*x^2+b*x)^(3/2)","A"
125,1,58,52,0.046000," ","int((B*x+A)/x/(c*x^2+b*x)^(3/2),x)","-\frac{2 \left(c x +b \right) \left(-8 A \,c^{2} x^{2}+6 B b c \,x^{2}-4 A b c x +3 B \,b^{2} x +A \,b^{2}\right)}{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} b^{3}}"," ",0,"-2/3*(c*x+b)*(-8*A*c^2*x^2+6*B*b*c*x^2-4*A*b*c*x+3*B*b^2*x+A*b^2)/b^3/(c*x^2+b*x)^(3/2)","A"
126,1,86,81,0.053000," ","int((B*x+A)/x^2/(c*x^2+b*x)^(3/2),x)","-\frac{2 \left(c x +b \right) \left(48 A \,c^{3} x^{3}-40 B b \,c^{2} x^{3}+24 A b \,c^{2} x^{2}-20 B \,b^{2} c \,x^{2}-6 A \,b^{2} c x +5 B \,b^{3} x +3 A \,b^{3}\right)}{15 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} b^{4} x}"," ",0,"-2/15*(c*x+b)*(48*A*c^3*x^3-40*B*b*c^2*x^3+24*A*b*c^2*x^2-20*B*b^2*c*x^2-6*A*b^2*c*x+5*B*b^3*x+3*A*b^3)/x/b^4/(c*x^2+b*x)^(3/2)","A"
127,1,110,112,0.055000," ","int((B*x+A)/x^3/(c*x^2+b*x)^(3/2),x)","-\frac{2 \left(c x +b \right) \left(-128 A \,c^{4} x^{4}+112 B b \,c^{3} x^{4}-64 A b \,c^{3} x^{3}+56 B \,b^{2} c^{2} x^{3}+16 A \,b^{2} c^{2} x^{2}-14 B \,b^{3} c \,x^{2}-8 A \,b^{3} c x +7 b^{4} B x +5 A \,b^{4}\right)}{35 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} b^{5} x^{2}}"," ",0,"-2/35*(c*x+b)*(-128*A*c^4*x^4+112*B*b*c^3*x^4-64*A*b*c^3*x^3+56*B*b^2*c^2*x^3+16*A*b^2*c^2*x^2-14*B*b^3*c*x^2-8*A*b^3*c*x+7*B*b^4*x+5*A*b^4)/x^2/b^5/(c*x^2+b*x)^(3/2)","A"
128,1,134,143,0.048000," ","int((B*x+A)/x^4/(c*x^2+b*x)^(3/2),x)","-\frac{2 \left(c x +b \right) \left(1280 A \,c^{5} x^{5}-1152 B b \,c^{4} x^{5}+640 A b \,c^{4} x^{4}-576 B \,b^{2} c^{3} x^{4}-160 A \,b^{2} c^{3} x^{3}+144 B \,b^{3} c^{2} x^{3}+80 A \,b^{3} c^{2} x^{2}-72 B \,b^{4} c \,x^{2}-50 A \,b^{4} c x +45 B \,b^{5} x +35 A \,b^{5}\right)}{315 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} b^{6} x^{3}}"," ",0,"-2/315*(c*x+b)*(1280*A*c^5*x^5-1152*B*b*c^4*x^5+640*A*b*c^4*x^4-576*B*b^2*c^3*x^4-160*A*b^2*c^3*x^3+144*B*b^3*c^2*x^3+80*A*b^3*c^2*x^2-72*B*b^4*c*x^2-50*A*b^4*c*x+45*B*b^5*x+35*A*b^5)/x^3/b^6/(c*x^2+b*x)^(3/2)","A"
129,1,338,148,0.054000," ","int(x^5*(B*x+A)/(c*x^2+b*x)^(5/2),x)","\frac{B \,x^{5}}{2 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c}+\frac{A \,x^{4}}{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} c}-\frac{7 B b \,x^{4}}{4 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{2}}+\frac{5 A b \,x^{3}}{6 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{2}}-\frac{35 B \,b^{2} x^{3}}{24 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{3}}-\frac{5 A \,b^{2} x^{2}}{4 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{3}}+\frac{35 B \,b^{3} x^{2}}{16 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{4}}-\frac{5 A \,b^{3} x}{12 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{4}}+\frac{35 B \,b^{4} x}{48 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{5}}+\frac{35 A b x}{6 \sqrt{c \,x^{2}+b x}\, c^{3}}-\frac{245 B \,b^{2} x}{24 \sqrt{c \,x^{2}+b x}\, c^{4}}-\frac{5 A b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2 c^{\frac{7}{2}}}+\frac{35 B \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{8 c^{\frac{9}{2}}}+\frac{5 A \,b^{2}}{12 \sqrt{c \,x^{2}+b x}\, c^{4}}-\frac{35 B \,b^{3}}{48 \sqrt{c \,x^{2}+b x}\, c^{5}}"," ",0,"1/2*B*x^5/c/(c*x^2+b*x)^(3/2)-7/4*B*b/c^2*x^4/(c*x^2+b*x)^(3/2)-35/24*B*b^2/c^3*x^3/(c*x^2+b*x)^(3/2)+35/16*B*b^3/c^4*x^2/(c*x^2+b*x)^(3/2)+35/48*B*b^4/c^5/(c*x^2+b*x)^(3/2)*x-245/24*B*b^2/c^4/(c*x^2+b*x)^(1/2)*x-35/48*B*b^3/c^5/(c*x^2+b*x)^(1/2)+35/8*B*b^2/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+A*x^4/c/(c*x^2+b*x)^(3/2)+5/6*A*b/c^2*x^3/(c*x^2+b*x)^(3/2)-5/4*A*b^2/c^3*x^2/(c*x^2+b*x)^(3/2)-5/12*A*b^3/c^4/(c*x^2+b*x)^(3/2)*x+35/6*A*b/c^3/(c*x^2+b*x)^(1/2)*x+5/12*A*b^2/c^4/(c*x^2+b*x)^(1/2)-5/2*A*b/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","B"
130,1,283,120,0.050000," ","int(x^4*(B*x+A)/(c*x^2+b*x)^(5/2),x)","\frac{B \,x^{4}}{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} c}-\frac{A \,x^{3}}{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c}+\frac{5 B b \,x^{3}}{6 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{2}}+\frac{A b \,x^{2}}{2 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{2}}-\frac{5 B \,b^{2} x^{2}}{4 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{3}}+\frac{A \,b^{2} x}{6 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{3}}-\frac{5 B \,b^{3} x}{12 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{4}}-\frac{7 A x}{3 \sqrt{c \,x^{2}+b x}\, c^{2}}+\frac{35 B b x}{6 \sqrt{c \,x^{2}+b x}\, c^{3}}+\frac{A \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{c^{\frac{5}{2}}}-\frac{5 B b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2 c^{\frac{7}{2}}}-\frac{A b}{6 \sqrt{c \,x^{2}+b x}\, c^{3}}+\frac{5 B \,b^{2}}{12 \sqrt{c \,x^{2}+b x}\, c^{4}}"," ",0,"B*x^4/c/(c*x^2+b*x)^(3/2)+5/6*B*b/c^2*x^3/(c*x^2+b*x)^(3/2)-5/4*B*b^2/c^3*x^2/(c*x^2+b*x)^(3/2)-5/12*B*b^3/c^4/(c*x^2+b*x)^(3/2)*x+35/6*B*b/c^3/(c*x^2+b*x)^(1/2)*x+5/12*B*b^2/c^4/(c*x^2+b*x)^(1/2)-5/2*B*b/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))-1/3*A*x^3/c/(c*x^2+b*x)^(3/2)+1/2*A*b/c^2*x^2/(c*x^2+b*x)^(3/2)+1/6*A*b^2/c^3/(c*x^2+b*x)^(3/2)*x-7/3*A/c^2/(c*x^2+b*x)^(1/2)*x-1/6*A*b/c^3/(c*x^2+b*x)^(1/2)+A/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","B"
131,1,206,72,0.046000," ","int(x^3*(B*x+A)/(c*x^2+b*x)^(5/2),x)","-\frac{B \,x^{3}}{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c}-\frac{A \,x^{2}}{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} c}+\frac{B b \,x^{2}}{2 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{2}}-\frac{A b x}{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{2}}+\frac{B \,b^{2} x}{6 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{3}}+\frac{2 A x}{3 \sqrt{c \,x^{2}+b x}\, b c}-\frac{7 B x}{3 \sqrt{c \,x^{2}+b x}\, c^{2}}+\frac{B \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{c^{\frac{5}{2}}}+\frac{A}{3 \sqrt{c \,x^{2}+b x}\, c^{2}}-\frac{B b}{6 \sqrt{c \,x^{2}+b x}\, c^{3}}"," ",0,"-1/3*B*x^3/c/(c*x^2+b*x)^(3/2)+1/2*B*b/c^2*x^2/(c*x^2+b*x)^(3/2)+1/6*B*b^2/c^3/(c*x^2+b*x)^(3/2)*x-7/3*B*x/c^2/(c*x^2+b*x)^(1/2)-1/6*B*b/c^3/(c*x^2+b*x)^(1/2)+B/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))-A*x^2/c/(c*x^2+b*x)^(3/2)-1/3*A*b/c^2/(c*x^2+b*x)^(3/2)*x+2/3*A/b/c/(c*x^2+b*x)^(1/2)*x+1/3*A/c^2/(c*x^2+b*x)^(1/2)","B"
132,1,39,59,0.050000," ","int(x^2*(B*x+A)/(c*x^2+b*x)^(5/2),x)","\frac{2 \left(c x +b \right) \left(2 A c x +B b x +3 A b \right) x^{3}}{3 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} b^{2}}"," ",0,"2/3*(c*x+b)*x^3*(2*A*c*x+B*b*x+3*A*b)/b^2/(c*x^2+b*x)^(5/2)","A"
133,1,62,62,0.048000," ","int(x*(B*x+A)/(c*x^2+b*x)^(5/2),x)","-\frac{2 \left(c x +b \right) \left(8 A \,c^{2} x^{2}-2 B b c \,x^{2}+12 A b c x -3 B \,b^{2} x +3 A \,b^{2}\right) x^{2}}{3 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} b^{3}}"," ",0,"-2/3*(c*x+b)*x^2*(8*A*c^2*x^2-2*B*b*c*x^2+12*A*b*c*x-3*B*b^2*x+3*A*b^2)/b^3/(c*x^2+b*x)^(5/2)","A"
134,1,83,62,0.048000," ","int((B*x+A)/(c*x^2+b*x)^(5/2),x)","-\frac{2 \left(c x +b \right) \left(-16 A \,c^{3} x^{3}+8 B b \,c^{2} x^{3}-24 A b \,c^{2} x^{2}+12 B \,b^{2} c \,x^{2}-6 A \,b^{2} c x +3 B \,b^{3} x +A \,b^{3}\right) x}{3 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} b^{4}}"," ",0,"-2/3*(c*x+b)*x*(-16*A*c^3*x^3+8*B*b*c^2*x^3-24*A*b*c^2*x^2+12*B*b^2*c*x^2-6*A*b^2*c*x+3*B*b^3*x+A*b^3)/b^4/(c*x^2+b*x)^(5/2)","A"
135,1,107,84,0.047000," ","int((B*x+A)/x/(c*x^2+b*x)^(5/2),x)","-\frac{2 \left(c x +b \right) \left(128 A \,c^{4} x^{4}-80 B b \,c^{3} x^{4}+192 A b \,c^{3} x^{3}-120 B \,b^{2} c^{2} x^{3}+48 A \,b^{2} c^{2} x^{2}-30 B \,b^{3} c \,x^{2}-8 A \,b^{3} c x +5 b^{4} B x +3 A \,b^{4}\right)}{15 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} b^{5}}"," ",0,"-2/15*(c*x+b)*(128*A*c^4*x^4-80*B*b*c^3*x^4+192*A*b*c^3*x^3-120*B*b^2*c^2*x^3+48*A*b^2*c^2*x^2-30*B*b^3*c*x^2-8*A*b^3*c*x+5*B*b^4*x+3*A*b^4)/b^5/(c*x^2+b*x)^(5/2)","A"
136,1,134,115,0.051000," ","int((B*x+A)/x^2/(c*x^2+b*x)^(5/2),x)","-\frac{2 \left(c x +b \right) \left(-1280 A \,c^{5} x^{5}+896 B b \,c^{4} x^{5}-1920 A b \,c^{4} x^{4}+1344 B \,b^{2} c^{3} x^{4}-480 A \,b^{2} c^{3} x^{3}+336 B \,b^{3} c^{2} x^{3}+80 A \,b^{3} c^{2} x^{2}-56 B \,b^{4} c \,x^{2}-30 A \,b^{4} c x +21 B \,b^{5} x +15 A \,b^{5}\right)}{105 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} b^{6} x}"," ",0,"-2/105*(c*x+b)*(-1280*A*c^5*x^5+896*B*b*c^4*x^5-1920*A*b*c^4*x^4+1344*B*b^2*c^3*x^4-480*A*b^2*c^3*x^3+336*B*b^3*c^2*x^3+80*A*b^3*c^2*x^2-56*B*b^4*c*x^2-30*A*b^4*c*x+21*B*b^5*x+15*A*b^5)/x/b^6/(c*x^2+b*x)^(5/2)","A"
137,1,158,146,0.052000," ","int((B*x+A)/x^3/(c*x^2+b*x)^(5/2),x)","-\frac{2 \left(c x +b \right) \left(1024 A \,c^{6} x^{6}-768 B b \,c^{5} x^{6}+1536 A b \,c^{5} x^{5}-1152 B \,b^{2} c^{4} x^{5}+384 A \,b^{2} c^{4} x^{4}-288 B \,b^{3} c^{3} x^{4}-64 A \,b^{3} c^{3} x^{3}+48 B \,b^{4} c^{2} x^{3}+24 A \,b^{4} c^{2} x^{2}-18 B \,b^{5} c \,x^{2}-12 A \,b^{5} c x +9 b^{6} B x +7 A \,b^{6}\right)}{63 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} b^{7} x^{2}}"," ",0,"-2/63*(c*x+b)*(1024*A*c^6*x^6-768*B*b*c^5*x^6+1536*A*b*c^5*x^5-1152*B*b^2*c^4*x^5+384*A*b^2*c^4*x^4-288*B*b^3*c^3*x^4-64*A*b^3*c^3*x^3+48*B*b^4*c^2*x^3+24*A*b^4*c^2*x^2-18*B*b^5*c*x^2-12*A*b^5*c*x+9*B*b^6*x+7*A*b^6)/x^2/b^7/(c*x^2+b*x)^(5/2)","A"
138,1,132,95,0.044000," ","int((e*x+d)/(c*x^2+b*x)^(7/2),x)","-\frac{2 \left(c x +b \right) \left(-128 b \,c^{4} e \,x^{5}+256 c^{5} d \,x^{5}-320 b^{2} c^{3} e \,x^{4}+640 b \,c^{4} d \,x^{4}-240 b^{3} c^{2} e \,x^{3}+480 b^{2} c^{3} d \,x^{3}-40 b^{4} c e \,x^{2}+80 b^{3} c^{2} d \,x^{2}+5 b^{5} e x -10 b^{4} c d x +3 d \,b^{5}\right) x}{15 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} b^{6}}"," ",0,"-2/15*(c*x+b)*x*(-128*b*c^4*e*x^5+256*c^5*d*x^5-320*b^2*c^3*e*x^4+640*b*c^4*d*x^4-240*b^3*c^2*e*x^3+480*b^2*c^3*d*x^3-40*b^4*c*e*x^2+80*b^3*c^2*d*x^2+5*b^5*e*x-10*b^4*c*d*x+3*b^5*d)/b^6/(c*x^2+b*x)^(7/2)","A"
139,1,180,129,0.068000," ","int((e*x+d)/(c*x^2+b*x)^(9/2),x)","-\frac{2 \left(c x +b \right) \left(1024 b \,c^{6} e \,x^{7}-2048 c^{7} d \,x^{7}+3584 b^{2} c^{5} e \,x^{6}-7168 b \,c^{6} d \,x^{6}+4480 b^{3} c^{4} e \,x^{5}-8960 b^{2} c^{5} d \,x^{5}+2240 b^{4} c^{3} e \,x^{4}-4480 b^{3} c^{4} d \,x^{4}+280 b^{5} c^{2} e \,x^{3}-560 b^{4} c^{3} d \,x^{3}-28 b^{6} c e \,x^{2}+56 b^{5} c^{2} d \,x^{2}+7 b^{7} e x -14 b^{6} c d x +5 d \,b^{7}\right) x}{35 \left(c \,x^{2}+b x \right)^{\frac{9}{2}} b^{8}}"," ",0,"-2/35*(c*x+b)*x*(1024*b*c^6*e*x^7-2048*c^7*d*x^7+3584*b^2*c^5*e*x^6-7168*b*c^6*d*x^6+4480*b^3*c^4*e*x^5-8960*b^2*c^5*d*x^5+2240*b^4*c^3*e*x^4-4480*b^3*c^4*d*x^4+280*b^5*c^2*e*x^3-560*b^4*c^3*d*x^3-28*b^6*c*e*x^2+56*b^5*c^2*d*x^2+7*b^7*e*x-14*b^6*c*d*x+5*b^7*d)/b^8/(c*x^2+b*x)^(9/2)","A"
140,1,28,27,0.050000," ","int(x^(7/2)*(B*x+A)*(c*x^2+b*x),x)","\frac{2 \left(143 B c \,x^{2}+165 A c x +165 B b x +195 A b \right) x^{\frac{11}{2}}}{2145}"," ",0,"2/2145*x^(11/2)*(143*B*c*x^2+165*A*c*x+165*B*b*x+195*A*b)","A"
141,1,28,27,0.046000," ","int(x^(5/2)*(B*x+A)*(c*x^2+b*x),x)","\frac{2 \left(99 B c \,x^{2}+117 A c x +117 B b x +143 A b \right) x^{\frac{9}{2}}}{1287}"," ",0,"2/1287*x^(9/2)*(99*B*c*x^2+117*A*c*x+117*B*b*x+143*A*b)","A"
142,1,28,27,0.043000," ","int(x^(3/2)*(B*x+A)*(c*x^2+b*x),x)","\frac{2 \left(63 B c \,x^{2}+77 A c x +77 B b x +99 A b \right) x^{\frac{7}{2}}}{693}"," ",0,"2/693*x^(7/2)*(63*B*c*x^2+77*A*c*x+77*B*b*x+99*A*b)","A"
143,1,28,27,0.041000," ","int((B*x+A)*(c*x^2+b*x)*x^(1/2),x)","\frac{2 \left(35 B c \,x^{2}+45 A c x +45 B b x +63 A b \right) x^{\frac{5}{2}}}{315}"," ",0,"2/315*x^(5/2)*(35*B*c*x^2+45*A*c*x+45*B*b*x+63*A*b)","A"
144,1,28,27,0.046000," ","int((B*x+A)*(c*x^2+b*x)/x^(1/2),x)","\frac{2 \left(15 B c \,x^{2}+21 A c x +21 B b x +35 A b \right) x^{\frac{3}{2}}}{105}"," ",0,"2/105*x^(3/2)*(15*B*c*x^2+21*A*c*x+21*B*b*x+35*A*b)","A"
145,1,28,27,0.043000," ","int((B*x+A)*(c*x^2+b*x)/x^(3/2),x)","\frac{2 \left(3 B c \,x^{2}+5 A c x +5 B b x +15 A b \right) \sqrt{x}}{15}"," ",0,"2/15*x^(1/2)*(3*B*c*x^2+5*A*c*x+5*B*b*x+15*A*b)","A"
146,1,28,27,0.046000," ","int((B*x+A)*(c*x^2+b*x)/x^(5/2),x)","-\frac{2 \left(-B c \,x^{2}-3 A c x -3 B b x +3 A b \right)}{3 \sqrt{x}}"," ",0,"-2/3/x^(1/2)*(-B*c*x^2-3*A*c*x-3*B*b*x+3*A*b)","A"
147,1,27,27,0.046000," ","int((B*x+A)*(c*x^2+b*x)/x^(7/2),x)","-\frac{2 \left(-3 B c \,x^{2}+3 A c x +3 B b x +A b \right)}{3 x^{\frac{3}{2}}}"," ",0,"-2/3/x^(3/2)*(-3*B*c*x^2+3*A*c*x+3*B*b*x+A*b)","A"
148,1,28,27,0.052000," ","int((B*x+A)*(c*x^2+b*x)/x^(9/2),x)","-\frac{2 \left(15 B c \,x^{2}+5 A c x +5 B b x +3 A b \right)}{15 x^{\frac{5}{2}}}"," ",0,"-2/15/x^(5/2)*(15*B*c*x^2+5*A*c*x+5*B*b*x+3*A*b)","A"
149,1,52,47,0.050000," ","int(x^(7/2)*(B*x+A)*(c*x^2+b*x)^2,x)","\frac{2 \left(3315 B \,c^{2} x^{3}+3705 A \,c^{2} x^{2}+7410 B b c \,x^{2}+8398 A b c x +4199 B \,b^{2} x +4845 A \,b^{2}\right) x^{\frac{13}{2}}}{62985}"," ",0,"2/62985*x^(13/2)*(3315*B*c^2*x^3+3705*A*c^2*x^2+7410*B*b*c*x^2+8398*A*b*c*x+4199*B*b^2*x+4845*A*b^2)","A"
150,1,52,47,0.046000," ","int(x^(5/2)*(B*x+A)*(c*x^2+b*x)^2,x)","\frac{2 \left(2145 B \,c^{2} x^{3}+2431 A \,c^{2} x^{2}+4862 B b c \,x^{2}+5610 A b c x +2805 B \,b^{2} x +3315 A \,b^{2}\right) x^{\frac{11}{2}}}{36465}"," ",0,"2/36465*x^(11/2)*(2145*B*c^2*x^3+2431*A*c^2*x^2+4862*B*b*c*x^2+5610*A*b*c*x+2805*B*b^2*x+3315*A*b^2)","A"
151,1,52,47,0.050000," ","int(x^(3/2)*(B*x+A)*(c*x^2+b*x)^2,x)","\frac{2 \left(429 B \,c^{2} x^{3}+495 A \,c^{2} x^{2}+990 B b c \,x^{2}+1170 A b c x +585 B \,b^{2} x +715 A \,b^{2}\right) x^{\frac{9}{2}}}{6435}"," ",0,"2/6435*x^(9/2)*(429*B*c^2*x^3+495*A*c^2*x^2+990*B*b*c*x^2+1170*A*b*c*x+585*B*b^2*x+715*A*b^2)","A"
152,1,52,47,0.045000," ","int((B*x+A)*(c*x^2+b*x)^2*x^(1/2),x)","\frac{2 \left(693 B \,c^{2} x^{3}+819 A \,c^{2} x^{2}+1638 B b c \,x^{2}+2002 A b c x +1001 B \,b^{2} x +1287 A \,b^{2}\right) x^{\frac{7}{2}}}{9009}"," ",0,"2/9009*x^(7/2)*(693*B*c^2*x^3+819*A*c^2*x^2+1638*B*b*c*x^2+2002*A*b*c*x+1001*B*b^2*x+1287*A*b^2)","A"
153,1,52,47,0.055000," ","int((B*x+A)*(c*x^2+b*x)^2/x^(1/2),x)","\frac{2 \left(315 B \,c^{2} x^{3}+385 A \,c^{2} x^{2}+770 B b c \,x^{2}+990 A b c x +495 B \,b^{2} x +693 A \,b^{2}\right) x^{\frac{5}{2}}}{3465}"," ",0,"2/3465*x^(5/2)*(315*B*c^2*x^3+385*A*c^2*x^2+770*B*b*c*x^2+990*A*b*c*x+495*B*b^2*x+693*A*b^2)","A"
154,1,52,47,0.048000," ","int((B*x+A)*(c*x^2+b*x)^2/x^(3/2),x)","\frac{2 \left(35 B \,c^{2} x^{3}+45 A \,c^{2} x^{2}+90 B b c \,x^{2}+126 A b c x +63 B \,b^{2} x +105 A \,b^{2}\right) x^{\frac{3}{2}}}{315}"," ",0,"2/315*x^(3/2)*(35*B*c^2*x^3+45*A*c^2*x^2+90*B*b*c*x^2+126*A*b*c*x+63*B*b^2*x+105*A*b^2)","A"
155,1,52,47,0.052000," ","int((B*x+A)*(c*x^2+b*x)^2/x^(5/2),x)","\frac{2 \left(15 B \,c^{2} x^{3}+21 A \,c^{2} x^{2}+42 B b c \,x^{2}+70 A b c x +35 B \,b^{2} x +105 A \,b^{2}\right) \sqrt{x}}{105}"," ",0,"2/105*x^(1/2)*(15*B*c^2*x^3+21*A*c^2*x^2+42*B*b*c*x^2+70*A*b*c*x+35*B*b^2*x+105*A*b^2)","A"
156,1,52,47,0.051000," ","int((B*x+A)*(c*x^2+b*x)^2/x^(7/2),x)","-\frac{2 \left(-3 B \,c^{2} x^{3}-5 A \,c^{2} x^{2}-10 B b c \,x^{2}-30 A b c x -15 B \,b^{2} x +15 A \,b^{2}\right)}{15 \sqrt{x}}"," ",0,"-2/15/x^(1/2)*(-3*B*c^2*x^3-5*A*c^2*x^2-10*B*b*c*x^2-30*A*b*c*x-15*B*b^2*x+15*A*b^2)","A"
157,1,51,47,0.046000," ","int((B*x+A)*(c*x^2+b*x)^2/x^(9/2),x)","-\frac{2 \left(-B \,c^{2} x^{3}-3 A \,c^{2} x^{2}-6 B b c \,x^{2}+6 A b c x +3 B \,b^{2} x +A \,b^{2}\right)}{3 x^{\frac{3}{2}}}"," ",0,"-2/3/x^(3/2)*(-B*c^2*x^3-3*A*c^2*x^2-6*B*b*c*x^2+6*A*b*c*x+3*B*b^2*x+A*b^2)","A"
158,1,76,65,0.048000," ","int(x^(7/2)*(B*x+A)*(c*x^2+b*x)^3,x)","\frac{2 \left(33915 B \,c^{3} x^{4}+37145 A \,c^{3} x^{3}+111435 B b \,c^{2} x^{3}+123165 A b \,c^{2} x^{2}+123165 B \,b^{2} c \,x^{2}+137655 A \,b^{2} c x +45885 B \,b^{3} x +52003 A \,b^{3}\right) x^{\frac{15}{2}}}{780045}"," ",0,"2/780045*x^(15/2)*(33915*B*c^3*x^4+37145*A*c^3*x^3+111435*B*b*c^2*x^3+123165*A*b*c^2*x^2+123165*B*b^2*c*x^2+137655*A*b^2*c*x+45885*B*b^3*x+52003*A*b^3)","A"
159,1,76,65,0.049000," ","int(x^(5/2)*(B*x+A)*(c*x^2+b*x)^3,x)","\frac{2 \left(20995 B \,c^{3} x^{4}+23205 A \,c^{3} x^{3}+69615 B b \,c^{2} x^{3}+77805 A b \,c^{2} x^{2}+77805 B \,b^{2} c \,x^{2}+88179 A \,b^{2} c x +29393 B \,b^{3} x +33915 A \,b^{3}\right) x^{\frac{13}{2}}}{440895}"," ",0,"2/440895*x^(13/2)*(20995*B*c^3*x^4+23205*A*c^3*x^3+69615*B*b*c^2*x^3+77805*A*b*c^2*x^2+77805*B*b^2*c*x^2+88179*A*b^2*c*x+29393*B*b^3*x+33915*A*b^3)","A"
160,1,76,65,0.055000," ","int(x^(3/2)*(B*x+A)*(c*x^2+b*x)^3,x)","\frac{2 \left(12155 B \,c^{3} x^{4}+13585 A \,c^{3} x^{3}+40755 B b \,c^{2} x^{3}+46189 A b \,c^{2} x^{2}+46189 B \,b^{2} c \,x^{2}+53295 A \,b^{2} c x +17765 B \,b^{3} x +20995 A \,b^{3}\right) x^{\frac{11}{2}}}{230945}"," ",0,"2/230945*x^(11/2)*(12155*B*c^3*x^4+13585*A*c^3*x^3+40755*B*b*c^2*x^3+46189*A*b*c^2*x^2+46189*B*b^2*c*x^2+53295*A*b^2*c*x+17765*B*b^3*x+20995*A*b^3)","A"
161,1,76,65,0.049000," ","int((B*x+A)*(c*x^2+b*x)^3*x^(1/2),x)","\frac{2 \left(6435 B \,c^{3} x^{4}+7293 A \,c^{3} x^{3}+21879 B b \,c^{2} x^{3}+25245 A b \,c^{2} x^{2}+25245 B \,b^{2} c \,x^{2}+29835 A \,b^{2} c x +9945 B \,b^{3} x +12155 A \,b^{3}\right) x^{\frac{9}{2}}}{109395}"," ",0,"2/109395*x^(9/2)*(6435*B*c^3*x^4+7293*A*c^3*x^3+21879*B*b*c^2*x^3+25245*A*b*c^2*x^2+25245*B*b^2*c*x^2+29835*A*b^2*c*x+9945*B*b^3*x+12155*A*b^3)","A"
162,1,76,65,0.046000," ","int((B*x+A)*(c*x^2+b*x)^3/x^(1/2),x)","\frac{2 \left(3003 B \,c^{3} x^{4}+3465 A \,c^{3} x^{3}+10395 B b \,c^{2} x^{3}+12285 A b \,c^{2} x^{2}+12285 B \,b^{2} c \,x^{2}+15015 A \,b^{2} c x +5005 B \,b^{3} x +6435 A \,b^{3}\right) x^{\frac{7}{2}}}{45045}"," ",0,"2/45045*x^(7/2)*(3003*B*c^3*x^4+3465*A*c^3*x^3+10395*B*b*c^2*x^3+12285*A*b*c^2*x^2+12285*B*b^2*c*x^2+15015*A*b^2*c*x+5005*B*b^3*x+6435*A*b^3)","A"
163,1,76,65,0.050000," ","int((B*x+A)*(c*x^2+b*x)^3/x^(3/2),x)","\frac{2 \left(1155 B \,c^{3} x^{4}+1365 A \,c^{3} x^{3}+4095 B b \,c^{2} x^{3}+5005 A b \,c^{2} x^{2}+5005 B \,b^{2} c \,x^{2}+6435 A \,b^{2} c x +2145 B \,b^{3} x +3003 A \,b^{3}\right) x^{\frac{5}{2}}}{15015}"," ",0,"2/15015*x^(5/2)*(1155*B*c^3*x^4+1365*A*c^3*x^3+4095*B*b*c^2*x^3+5005*A*b*c^2*x^2+5005*B*b^2*c*x^2+6435*A*b^2*c*x+2145*B*b^3*x+3003*A*b^3)","A"
164,1,76,65,0.045000," ","int((B*x+A)*(c*x^2+b*x)^3/x^(5/2),x)","\frac{2 \left(315 B \,c^{3} x^{4}+385 A \,c^{3} x^{3}+1155 B b \,c^{2} x^{3}+1485 A b \,c^{2} x^{2}+1485 B \,b^{2} c \,x^{2}+2079 A \,b^{2} c x +693 B \,b^{3} x +1155 A \,b^{3}\right) x^{\frac{3}{2}}}{3465}"," ",0,"2/3465*x^(3/2)*(315*B*c^3*x^4+385*A*c^3*x^3+1155*B*b*c^2*x^3+1485*A*b*c^2*x^2+1485*B*b^2*c*x^2+2079*A*b^2*c*x+693*B*b^3*x+1155*A*b^3)","A"
165,1,76,65,0.050000," ","int((B*x+A)*(c*x^2+b*x)^3/x^(7/2),x)","\frac{2 \left(35 B \,c^{3} x^{4}+45 A \,c^{3} x^{3}+135 B b \,c^{2} x^{3}+189 A b \,c^{2} x^{2}+189 B \,b^{2} c \,x^{2}+315 A \,b^{2} c x +105 B \,b^{3} x +315 A \,b^{3}\right) \sqrt{x}}{315}"," ",0,"2/315*x^(1/2)*(35*B*c^3*x^4+45*A*c^3*x^3+135*B*b*c^2*x^3+189*A*b*c^2*x^2+189*B*b^2*c*x^2+315*A*b^2*c*x+105*B*b^3*x+315*A*b^3)","A"
166,1,76,65,0.052000," ","int((B*x+A)*(c*x^2+b*x)^3/x^(9/2),x)","-\frac{2 \left(-5 B \,c^{3} x^{4}-7 A \,c^{3} x^{3}-21 B b \,c^{2} x^{3}-35 A b \,c^{2} x^{2}-35 B \,b^{2} c \,x^{2}-105 A \,b^{2} c x -35 B \,b^{3} x +35 A \,b^{3}\right)}{35 \sqrt{x}}"," ",0,"-2/35/x^(1/2)*(-5*B*c^3*x^4-7*A*c^3*x^3-21*B*b*c^2*x^3-35*A*b*c^2*x^2-35*B*b^2*c*x^2-105*A*b^2*c*x-35*B*b^3*x+35*A*b^3)","A"
167,1,76,65,0.049000," ","int((B*x+A)*(c*x^2+b*x)^3/x^(11/2),x)","-\frac{2 \left(-3 B \,c^{3} x^{4}-5 A \,c^{3} x^{3}-15 B b \,c^{2} x^{3}-45 A b \,c^{2} x^{2}-45 B \,b^{2} c \,x^{2}+45 A \,b^{2} c x +15 B \,b^{3} x +5 A \,b^{3}\right)}{15 x^{\frac{3}{2}}}"," ",0,"-2/15/x^(3/2)*(-3*B*c^3*x^4-5*A*c^3*x^3-15*B*b*c^2*x^3-45*A*b*c^2*x^2-45*B*b^2*c*x^2+45*A*b^2*c*x+15*B*b^3*x+5*A*b^3)","A"
168,1,126,89,0.053000," ","int(x^(7/2)*(B*x+A)/(c*x^2+b*x),x)","\frac{2 B \,x^{\frac{7}{2}}}{7 c}+\frac{2 A \,x^{\frac{5}{2}}}{5 c}-\frac{2 B b \,x^{\frac{5}{2}}}{5 c^{2}}-\frac{2 A \,b^{3} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, c^{3}}+\frac{2 B \,b^{4} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, c^{4}}-\frac{2 A b \,x^{\frac{3}{2}}}{3 c^{2}}+\frac{2 B \,b^{2} x^{\frac{3}{2}}}{3 c^{3}}+\frac{2 A \,b^{2} \sqrt{x}}{c^{3}}-\frac{2 B \,b^{3} \sqrt{x}}{c^{4}}"," ",0,"2/7*B/c*x^(7/2)+2/5/c*A*x^(5/2)-2/5/c^2*B*x^(5/2)*b-2/3/c^2*A*x^(3/2)*b+2/3/c^3*B*x^(3/2)*b^2+2/c^3*A*b^2*x^(1/2)-2/c^4*b^3*B*x^(1/2)-2*b^3/c^3/(b*c)^(1/2)*arctan(c*x^(1/2)/(b*c)^(1/2))*A+2*b^4/c^4/(b*c)^(1/2)*arctan(c*x^(1/2)/(b*c)^(1/2))*B","A"
169,1,102,70,0.056000," ","int(x^(5/2)*(B*x+A)/(c*x^2+b*x),x)","\frac{2 B \,x^{\frac{5}{2}}}{5 c}+\frac{2 A \,b^{2} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, c^{2}}-\frac{2 B \,b^{3} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, c^{3}}+\frac{2 A \,x^{\frac{3}{2}}}{3 c}-\frac{2 B b \,x^{\frac{3}{2}}}{3 c^{2}}-\frac{2 A b \sqrt{x}}{c^{2}}+\frac{2 B \,b^{2} \sqrt{x}}{c^{3}}"," ",0,"2/5*B/c*x^(5/2)+2/3*A*x^(3/2)/c-2/3/c^2*B*x^(3/2)*b-2/c^2*A*b*x^(1/2)+2/c^3*b^2*B*x^(1/2)+2*b^2/c^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*A-2*b^3/c^3/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*B","A"
170,1,78,53,0.054000," ","int(x^(3/2)*(B*x+A)/(c*x^2+b*x),x)","-\frac{2 A b \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, c}+\frac{2 B \,b^{2} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, c^{2}}+\frac{2 B \,x^{\frac{3}{2}}}{3 c}+\frac{2 A \sqrt{x}}{c}-\frac{2 B b \sqrt{x}}{c^{2}}"," ",0,"2/3*B/c*x^(3/2)+2*A*x^(1/2)/c-2/c^2*b*B*x^(1/2)-2*b/c/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*A+2*b^2/c^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*B","A"
171,1,53,37,0.052000," ","int((B*x+A)*x^(1/2)/(c*x^2+b*x),x)","\frac{2 A \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}}-\frac{2 B b \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, c}+\frac{2 B \sqrt{x}}{c}"," ",0,"2*B/c*x^(1/2)+2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*A-2/c/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*b*B","A"
172,1,53,37,0.061000," ","int((B*x+A)/(c*x^2+b*x)/x^(1/2),x)","-\frac{2 A c \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, b}+\frac{2 B \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}}-\frac{2 A}{b \sqrt{x}}"," ",0,"-2/b/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*A*c+2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*B-2*A/b/x^(1/2)","A"
173,1,78,53,0.059000," ","int((B*x+A)/x^(3/2)/(c*x^2+b*x),x)","\frac{2 A \,c^{2} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, b^{2}}-\frac{2 B c \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, b}+\frac{2 A c}{b^{2} \sqrt{x}}-\frac{2 B}{b \sqrt{x}}-\frac{2 A}{3 b \,x^{\frac{3}{2}}}"," ",0,"2*c^2/b^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*A-2*c/b/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*B-2/3*A/b/x^(3/2)+2/b^2/x^(1/2)*A*c-2/b/x^(1/2)*B","A"
174,1,102,70,0.063000," ","int((B*x+A)/x^(5/2)/(c*x^2+b*x),x)","-\frac{2 A \,c^{3} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, b^{3}}+\frac{2 B \,c^{2} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, b^{2}}-\frac{2 A \,c^{2}}{b^{3} \sqrt{x}}+\frac{2 B c}{b^{2} \sqrt{x}}+\frac{2 A c}{3 b^{2} x^{\frac{3}{2}}}-\frac{2 B}{3 b \,x^{\frac{3}{2}}}-\frac{2 A}{5 b \,x^{\frac{5}{2}}}"," ",0,"-2*c^3/b^3/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*A+2*c^2/b^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*B-2/5*A/b/x^(5/2)+2/3/b^2/x^(3/2)*A*c-2/3/b/x^(3/2)*B-2*c^2/b^3/x^(1/2)*A+2*c/b^2/x^(1/2)*B","A"
175,1,126,89,0.058000," ","int((B*x+A)/x^(7/2)/(c*x^2+b*x),x)","\frac{2 A \,c^{4} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, b^{4}}-\frac{2 B \,c^{3} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, b^{3}}+\frac{2 A \,c^{3}}{b^{4} \sqrt{x}}-\frac{2 B \,c^{2}}{b^{3} \sqrt{x}}-\frac{2 A \,c^{2}}{3 b^{3} x^{\frac{3}{2}}}+\frac{2 B c}{3 b^{2} x^{\frac{3}{2}}}+\frac{2 A c}{5 b^{2} x^{\frac{5}{2}}}-\frac{2 B}{5 b \,x^{\frac{5}{2}}}-\frac{2 A}{7 b \,x^{\frac{7}{2}}}"," ",0,"2*c^4/b^4/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*A-2*c^3/b^3/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*B-2/7*A/b/x^(7/2)+2/5/b^2/x^(5/2)*A*c-2/5/b/x^(5/2)*B-2/3*c^2/b^3/x^(3/2)*A+2/3*c/b^2/x^(3/2)*B+2*c^3/b^4/x^(1/2)*A-2*c^2/b^3/x^(1/2)*B","A"
176,1,150,108,0.066000," ","int((B*x+A)/x^(9/2)/(c*x^2+b*x),x)","-\frac{2 A \,c^{5} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, b^{5}}+\frac{2 B \,c^{4} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, b^{4}}-\frac{2 A \,c^{4}}{b^{5} \sqrt{x}}+\frac{2 B \,c^{3}}{b^{4} \sqrt{x}}+\frac{2 A \,c^{3}}{3 b^{4} x^{\frac{3}{2}}}-\frac{2 B \,c^{2}}{3 b^{3} x^{\frac{3}{2}}}-\frac{2 A \,c^{2}}{5 b^{3} x^{\frac{5}{2}}}+\frac{2 B c}{5 b^{2} x^{\frac{5}{2}}}+\frac{2 A c}{7 b^{2} x^{\frac{7}{2}}}-\frac{2 B}{7 b \,x^{\frac{7}{2}}}-\frac{2 A}{9 b \,x^{\frac{9}{2}}}"," ",0,"-2*c^5/b^5/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*A+2*c^4/b^4/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*B-2/9*A/b/x^(9/2)+2/7/b^2/x^(7/2)*A*c-2/7/b/x^(7/2)*B-2/5*c^2/b^3/x^(5/2)*A+2/5*c/b^2/x^(5/2)*B-2*c^4/b^5/x^(1/2)*A+2*c^3/b^4/x^(1/2)*B+2/3*c^3/b^4/x^(3/2)*A-2/3*c^2/b^3/x^(3/2)*B","A"
177,1,139,109,0.068000," ","int(x^(9/2)*(B*x+A)/(c*x^2+b*x)^2,x)","\frac{2 B \,x^{\frac{5}{2}}}{5 c^{2}}+\frac{5 A \,b^{2} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, c^{3}}-\frac{7 B \,b^{3} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, c^{4}}-\frac{A \,b^{2} \sqrt{x}}{\left(c x +b \right) c^{3}}+\frac{2 A \,x^{\frac{3}{2}}}{3 c^{2}}+\frac{B \,b^{3} \sqrt{x}}{\left(c x +b \right) c^{4}}-\frac{4 B b \,x^{\frac{3}{2}}}{3 c^{3}}-\frac{4 A b \sqrt{x}}{c^{3}}+\frac{6 B \,b^{2} \sqrt{x}}{c^{4}}"," ",0,"2/5/c^2*B*x^(5/2)+2/3/c^2*A*x^(3/2)-4/3/c^3*B*x^(3/2)*b-4/c^3*A*b*x^(1/2)+6/c^4*b^2*B*x^(1/2)-b^2/c^3*x^(1/2)/(c*x+b)*A+b^3/c^4*x^(1/2)/(c*x+b)*B+5*b^2/c^3/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*A-7*b^3/c^4/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*B","A"
178,1,113,91,0.071000," ","int(x^(7/2)*(B*x+A)/(c*x^2+b*x)^2,x)","-\frac{3 A b \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, c^{2}}+\frac{5 B \,b^{2} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, c^{3}}+\frac{A b \sqrt{x}}{\left(c x +b \right) c^{2}}-\frac{B \,b^{2} \sqrt{x}}{\left(c x +b \right) c^{3}}+\frac{2 B \,x^{\frac{3}{2}}}{3 c^{2}}+\frac{2 A \sqrt{x}}{c^{2}}-\frac{4 B b \sqrt{x}}{c^{3}}"," ",0,"2/3/c^2*B*x^(3/2)+2/c^2*A*x^(1/2)-4/c^3*b*B*x^(1/2)+b/c^2*x^(1/2)/(c*x+b)*A-b^2/c^3*x^(1/2)/(c*x+b)*B-3*b/c^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*A+5*b^2/c^3/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*B","A"
179,1,87,74,0.067000," ","int(x^(5/2)*(B*x+A)/(c*x^2+b*x)^2,x)","\frac{A \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, c}-\frac{3 B b \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, c^{2}}-\frac{A \sqrt{x}}{\left(c x +b \right) c}+\frac{B b \sqrt{x}}{\left(c x +b \right) c^{2}}+\frac{2 B \sqrt{x}}{c^{2}}"," ",0,"2*B*x^(1/2)/c^2-1/c*x^(1/2)/(c*x+b)*A+1/c^2*x^(1/2)/(c*x+b)*b*B+1/c/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*A-3/c^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*b*B","A"
180,1,69,52,0.068000," ","int(x^(3/2)*(B*x+A)/(c*x^2+b*x)^2,x)","\frac{A \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, b}+\frac{B \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, c}+\frac{\left(A c -b B \right) \sqrt{x}}{\left(c x +b \right) b c}"," ",0,"(A*c-B*b)/b/c*x^(1/2)/(c*x+b)+1/b/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*A+1/c/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*B","A"
181,1,87,70,0.067000," ","int((B*x+A)*x^(1/2)/(c*x^2+b*x)^2,x)","-\frac{3 A c \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, b^{2}}+\frac{B \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, b}-\frac{A c \sqrt{x}}{\left(c x +b \right) b^{2}}+\frac{B \sqrt{x}}{\left(c x +b \right) b}-\frac{2 A}{b^{2} \sqrt{x}}"," ",0,"-1/b^2*x^(1/2)/(c*x+b)*A*c+1/b*x^(1/2)/(c*x+b)*B-3/b^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*A*c+1/b/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*B-2*A/b^2/x^(1/2)","A"
182,1,113,90,0.068000," ","int((B*x+A)/(c*x^2+b*x)^2/x^(1/2),x)","\frac{5 A \,c^{2} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, b^{3}}-\frac{3 B c \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, b^{2}}+\frac{A \,c^{2} \sqrt{x}}{\left(c x +b \right) b^{3}}-\frac{B c \sqrt{x}}{\left(c x +b \right) b^{2}}+\frac{4 A c}{b^{3} \sqrt{x}}-\frac{2 B}{b^{2} \sqrt{x}}-\frac{2 A}{3 b^{2} x^{\frac{3}{2}}}"," ",0,"1/b^3*c^2*x^(1/2)/(c*x+b)*A-1/b^2*c*x^(1/2)/(c*x+b)*B+5/b^3*c^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*A-3/b^2*c/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*B-2/3/b^2*A/x^(3/2)+4/b^3/x^(1/2)*A*c-2/b^2/x^(1/2)*B","A"
183,1,139,107,0.065000," ","int((B*x+A)/x^(3/2)/(c*x^2+b*x)^2,x)","-\frac{7 A \,c^{3} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, b^{4}}+\frac{5 B \,c^{2} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, b^{3}}-\frac{A \,c^{3} \sqrt{x}}{\left(c x +b \right) b^{4}}+\frac{B \,c^{2} \sqrt{x}}{\left(c x +b \right) b^{3}}-\frac{6 A \,c^{2}}{b^{4} \sqrt{x}}+\frac{4 B c}{b^{3} \sqrt{x}}+\frac{4 A c}{3 b^{3} x^{\frac{3}{2}}}-\frac{2 B}{3 b^{2} x^{\frac{3}{2}}}-\frac{2 A}{5 b^{2} x^{\frac{5}{2}}}"," ",0,"-1/b^4*c^3*x^(1/2)/(c*x+b)*A+1/b^3*c^2*x^(1/2)/(c*x+b)*B-7/b^4*c^3/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*A+5/b^3*c^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*B-2/5/b^2*A/x^(5/2)+4/3/b^3/x^(3/2)*A*c-2/3/b^2/x^(3/2)*B-6*c^2/b^4/x^(1/2)*A+4*c/b^3/x^(1/2)*B","A"
184,1,163,129,0.071000," ","int((B*x+A)/x^(5/2)/(c*x^2+b*x)^2,x)","\frac{9 A \,c^{4} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, b^{5}}-\frac{7 B \,c^{3} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c}\, b^{4}}+\frac{A \,c^{4} \sqrt{x}}{\left(c x +b \right) b^{5}}-\frac{B \,c^{3} \sqrt{x}}{\left(c x +b \right) b^{4}}+\frac{8 A \,c^{3}}{b^{5} \sqrt{x}}-\frac{6 B \,c^{2}}{b^{4} \sqrt{x}}-\frac{2 A \,c^{2}}{b^{4} x^{\frac{3}{2}}}+\frac{4 B c}{3 b^{3} x^{\frac{3}{2}}}+\frac{4 A c}{5 b^{3} x^{\frac{5}{2}}}-\frac{2 B}{5 b^{2} x^{\frac{5}{2}}}-\frac{2 A}{7 b^{2} x^{\frac{7}{2}}}"," ",0,"1/b^5*c^4*x^(1/2)/(c*x+b)*A-1/b^4*c^3*x^(1/2)/(c*x+b)*B+9/b^5*c^4/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*A-7/b^4*c^3/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*B-2/7/b^2*A/x^(7/2)+4/5/b^3/x^(5/2)*A*c-2/5/b^2/x^(5/2)*B-2*c^2/b^4/x^(3/2)*A+4/3*c/b^3/x^(3/2)*B+8*c^3/b^5/x^(1/2)*A-6*c^2/b^4/x^(1/2)*B","A"
185,1,178,137,0.071000," ","int(x^(13/2)*(B*x+A)/(c*x^2+b*x)^3,x)","-\frac{13 A \,b^{2} x^{\frac{3}{2}}}{4 \left(c x +b \right)^{2} c^{3}}+\frac{17 B \,b^{3} x^{\frac{3}{2}}}{4 \left(c x +b \right)^{2} c^{4}}-\frac{11 A \,b^{3} \sqrt{x}}{4 \left(c x +b \right)^{2} c^{4}}+\frac{15 B \,b^{4} \sqrt{x}}{4 \left(c x +b \right)^{2} c^{5}}+\frac{2 B \,x^{\frac{5}{2}}}{5 c^{3}}+\frac{35 A \,b^{2} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \sqrt{b c}\, c^{4}}-\frac{63 B \,b^{3} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \sqrt{b c}\, c^{5}}+\frac{2 A \,x^{\frac{3}{2}}}{3 c^{3}}-\frac{2 B b \,x^{\frac{3}{2}}}{c^{4}}-\frac{6 A b \sqrt{x}}{c^{4}}+\frac{12 B \,b^{2} \sqrt{x}}{c^{5}}"," ",0,"2/5/c^3*B*x^(5/2)+2/3/c^3*A*x^(3/2)-2/c^4*B*x^(3/2)*b-6/c^4*A*b*x^(1/2)+12/c^5*b^2*B*x^(1/2)-13/4*b^2/c^3/(c*x+b)^2*A*x^(3/2)+17/4*b^3/c^4/(c*x+b)^2*B*x^(3/2)-11/4*b^3/c^4/(c*x+b)^2*A*x^(1/2)+15/4*b^4/c^5/(c*x+b)^2*B*x^(1/2)+35/4*b^2/c^4/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*A-63/4*b^3/c^5/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*B","A"
186,1,152,119,0.066000," ","int(x^(11/2)*(B*x+A)/(c*x^2+b*x)^3,x)","\frac{9 A b \,x^{\frac{3}{2}}}{4 \left(c x +b \right)^{2} c^{2}}-\frac{13 B \,b^{2} x^{\frac{3}{2}}}{4 \left(c x +b \right)^{2} c^{3}}+\frac{7 A \,b^{2} \sqrt{x}}{4 \left(c x +b \right)^{2} c^{3}}-\frac{11 B \,b^{3} \sqrt{x}}{4 \left(c x +b \right)^{2} c^{4}}-\frac{15 A b \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \sqrt{b c}\, c^{3}}+\frac{35 B \,b^{2} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \sqrt{b c}\, c^{4}}+\frac{2 B \,x^{\frac{3}{2}}}{3 c^{3}}+\frac{2 A \sqrt{x}}{c^{3}}-\frac{6 B b \sqrt{x}}{c^{4}}"," ",0,"2/3/c^3*B*x^(3/2)+2/c^3*A*x^(1/2)-6/c^4*b*B*x^(1/2)+9/4*b/c^2/(c*x+b)^2*x^(3/2)*A-13/4*b^2/c^3/(c*x+b)^2*x^(3/2)*B+7/4*b^2/c^3/(c*x+b)^2*A*x^(1/2)-11/4*b^3/c^4/(c*x+b)^2*B*x^(1/2)-15/4*b/c^3/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*A+35/4*b^2/c^4/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*B","A"
187,1,125,102,0.070000," ","int(x^(9/2)*(B*x+A)/(c*x^2+b*x)^3,x)","-\frac{5 A \,x^{\frac{3}{2}}}{4 \left(c x +b \right)^{2} c}+\frac{9 B b \,x^{\frac{3}{2}}}{4 \left(c x +b \right)^{2} c^{2}}-\frac{3 A b \sqrt{x}}{4 \left(c x +b \right)^{2} c^{2}}+\frac{7 B \,b^{2} \sqrt{x}}{4 \left(c x +b \right)^{2} c^{3}}+\frac{3 A \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \sqrt{b c}\, c^{2}}-\frac{15 B b \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \sqrt{b c}\, c^{3}}+\frac{2 B \sqrt{x}}{c^{3}}"," ",0,"2*B/c^3*x^(1/2)-5/4/c/(c*x+b)^2*x^(3/2)*A+9/4/c^2/(c*x+b)^2*x^(3/2)*b*B-3/4/c^2/(c*x+b)^2*A*x^(1/2)*b+7/4/c^3/(c*x+b)^2*B*x^(1/2)*b^2+3/4/c^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*A-15/4/c^3/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*b*B","A"
188,1,94,80,0.065000," ","int(x^(7/2)*(B*x+A)/(c*x^2+b*x)^3,x)","\frac{A \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \sqrt{b c}\, b c}+\frac{3 B \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \sqrt{b c}\, c^{2}}+\frac{\frac{\left(A c -5 b B \right) x^{\frac{3}{2}}}{4 b c}-\frac{\left(A c +3 b B \right) \sqrt{x}}{4 c^{2}}}{\left(c x +b \right)^{2}}"," ",0,"2*(1/8*(A*c-5*B*b)/b/c*x^(3/2)-1/8*(A*c+3*B*b)/c^2*x^(1/2))/(c*x+b)^2+1/4/c/b/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*A+3/4/c^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*B","A"
189,1,95,80,0.071000," ","int(x^(5/2)*(B*x+A)/(c*x^2+b*x)^3,x)","\frac{3 A \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \sqrt{b c}\, b^{2}}+\frac{B \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \sqrt{b c}\, b c}+\frac{\frac{\left(3 A c +b B \right) x^{\frac{3}{2}}}{4 b^{2}}+\frac{\left(5 A c -b B \right) \sqrt{x}}{4 b c}}{\left(c x +b \right)^{2}}"," ",0,"2*(1/8*(3*A*c+B*b)/b^2*x^(3/2)+1/8*(5*A*c-B*b)/b/c*x^(1/2))/(c*x+b)^2+3/4/b^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*A+1/4/b/c/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*B","A"
190,1,125,100,0.069000," ","int(x^(3/2)*(B*x+A)/(c*x^2+b*x)^3,x)","-\frac{7 A \,c^{2} x^{\frac{3}{2}}}{4 \left(c x +b \right)^{2} b^{3}}+\frac{3 B c \,x^{\frac{3}{2}}}{4 \left(c x +b \right)^{2} b^{2}}-\frac{9 A c \sqrt{x}}{4 \left(c x +b \right)^{2} b^{2}}+\frac{5 B \sqrt{x}}{4 \left(c x +b \right)^{2} b}-\frac{15 A c \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \sqrt{b c}\, b^{3}}+\frac{3 B \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \sqrt{b c}\, b^{2}}-\frac{2 A}{b^{3} \sqrt{x}}"," ",0,"-7/4/b^3/(c*x+b)^2*x^(3/2)*A*c^2+3/4/b^2/(c*x+b)^2*x^(3/2)*B*c-9/4/b^2/(c*x+b)^2*A*x^(1/2)*c+5/4/b/(c*x+b)^2*B*x^(1/2)-15/4/b^3/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*A*c+3/4/b^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*B-2*A/b^3/x^(1/2)","A"
191,1,152,119,0.086000," ","int((B*x+A)*x^(1/2)/(c*x^2+b*x)^3,x)","\frac{11 A \,c^{3} x^{\frac{3}{2}}}{4 \left(c x +b \right)^{2} b^{4}}-\frac{7 B \,c^{2} x^{\frac{3}{2}}}{4 \left(c x +b \right)^{2} b^{3}}+\frac{13 A \,c^{2} \sqrt{x}}{4 \left(c x +b \right)^{2} b^{3}}-\frac{9 B c \sqrt{x}}{4 \left(c x +b \right)^{2} b^{2}}+\frac{35 A \,c^{2} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \sqrt{b c}\, b^{4}}-\frac{15 B c \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \sqrt{b c}\, b^{3}}+\frac{6 A c}{b^{4} \sqrt{x}}-\frac{2 B}{b^{3} \sqrt{x}}-\frac{2 A}{3 b^{3} x^{\frac{3}{2}}}"," ",0,"11/4/b^4*c^3/(c*x+b)^2*x^(3/2)*A-7/4/b^3*c^2/(c*x+b)^2*x^(3/2)*B+13/4/b^3*c^2/(c*x+b)^2*A*x^(1/2)-9/4/b^2*c/(c*x+b)^2*B*x^(1/2)+35/4/b^4*c^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*A-15/4/b^3*c/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*B-2/3/b^3*A/x^(3/2)+6/b^4/x^(1/2)*A*c-2/b^3/x^(1/2)*B","A"
192,1,178,137,0.079000," ","int((B*x+A)/(c*x^2+b*x)^3/x^(1/2),x)","-\frac{15 A \,c^{4} x^{\frac{3}{2}}}{4 \left(c x +b \right)^{2} b^{5}}+\frac{11 B \,c^{3} x^{\frac{3}{2}}}{4 \left(c x +b \right)^{2} b^{4}}-\frac{17 A \,c^{3} \sqrt{x}}{4 \left(c x +b \right)^{2} b^{4}}+\frac{13 B \,c^{2} \sqrt{x}}{4 \left(c x +b \right)^{2} b^{3}}-\frac{63 A \,c^{3} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \sqrt{b c}\, b^{5}}+\frac{35 B \,c^{2} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \sqrt{b c}\, b^{4}}-\frac{12 A \,c^{2}}{b^{5} \sqrt{x}}+\frac{6 B c}{b^{4} \sqrt{x}}+\frac{2 A c}{b^{4} x^{\frac{3}{2}}}-\frac{2 B}{3 b^{3} x^{\frac{3}{2}}}-\frac{2 A}{5 b^{3} x^{\frac{5}{2}}}"," ",0,"-15/4/b^5*c^4/(c*x+b)^2*x^(3/2)*A+11/4/b^4*c^3/(c*x+b)^2*x^(3/2)*B-17/4/b^4*c^3/(c*x+b)^2*A*x^(1/2)+13/4/b^3*c^2/(c*x+b)^2*B*x^(1/2)-63/4/b^5*c^3/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*A+35/4/b^4*c^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*B-2/5/b^3*A/x^(5/2)+2/b^4/x^(3/2)*A*c-2/3/b^3/x^(3/2)*B-12*c^2/b^5/x^(1/2)*A+6*c/b^4/x^(1/2)*B","A"
193,1,202,157,0.072000," ","int((B*x+A)/x^(3/2)/(c*x^2+b*x)^3,x)","\frac{19 A \,c^{5} x^{\frac{3}{2}}}{4 \left(c x +b \right)^{2} b^{6}}-\frac{15 B \,c^{4} x^{\frac{3}{2}}}{4 \left(c x +b \right)^{2} b^{5}}+\frac{21 A \,c^{4} \sqrt{x}}{4 \left(c x +b \right)^{2} b^{5}}-\frac{17 B \,c^{3} \sqrt{x}}{4 \left(c x +b \right)^{2} b^{4}}+\frac{99 A \,c^{4} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \sqrt{b c}\, b^{6}}-\frac{63 B \,c^{3} \arctan \left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \sqrt{b c}\, b^{5}}+\frac{20 A \,c^{3}}{b^{6} \sqrt{x}}-\frac{12 B \,c^{2}}{b^{5} \sqrt{x}}-\frac{4 A \,c^{2}}{b^{5} x^{\frac{3}{2}}}+\frac{2 B c}{b^{4} x^{\frac{3}{2}}}+\frac{6 A c}{5 b^{4} x^{\frac{5}{2}}}-\frac{2 B}{5 b^{3} x^{\frac{5}{2}}}-\frac{2 A}{7 b^{3} x^{\frac{7}{2}}}"," ",0,"19/4/b^6*c^5/(c*x+b)^2*x^(3/2)*A-15/4/b^5*c^4/(c*x+b)^2*x^(3/2)*B+21/4/b^5*c^4/(c*x+b)^2*A*x^(1/2)-17/4/b^4*c^3/(c*x+b)^2*B*x^(1/2)+99/4/b^6*c^4/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*A-63/4/b^5*c^3/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x^(1/2))*B-2/7/b^3*A/x^(7/2)+6/5/b^4/x^(5/2)*A*c-2/5/b^3/x^(5/2)*B-4*c^2/b^5/x^(3/2)*A+2*c/b^4/x^(3/2)*B+20*c^3/b^6/x^(1/2)*A-12*c^2/b^5/x^(1/2)*B","A"
194,1,131,171,0.051000," ","int(x^(7/2)*(B*x+A)*(c*x^2+b*x)^(1/2),x)","\frac{2 \left(c x +b \right) \left(3465 B \,x^{5} c^{5}+4095 A \,c^{5} x^{4}-3150 B b \,c^{4} x^{4}-3640 A b \,c^{4} x^{3}+2800 B \,b^{2} c^{3} x^{3}+3120 A \,b^{2} c^{3} x^{2}-2400 B \,b^{3} c^{2} x^{2}-2496 A \,b^{3} c^{2} x +1920 B \,b^{4} c x +1664 A \,b^{4} c -1280 B \,b^{5}\right) \sqrt{c \,x^{2}+b x}}{45045 c^{6} \sqrt{x}}"," ",0,"2/45045*(c*x+b)*(3465*B*c^5*x^5+4095*A*c^5*x^4-3150*B*b*c^4*x^4-3640*A*b*c^4*x^3+2800*B*b^2*c^3*x^3+3120*A*b^2*c^3*x^2-2400*B*b^3*c^2*x^2-2496*A*b^3*c^2*x+1920*B*b^4*c*x+1664*A*b^4*c-1280*B*b^5)*(c*x^2+b*x)^(1/2)/c^6/x^(1/2)","A"
195,1,107,140,0.051000," ","int(x^(5/2)*(B*x+A)*(c*x^2+b*x)^(1/2),x)","-\frac{2 \left(c x +b \right) \left(-315 B \,x^{4} c^{4}-385 A \,c^{4} x^{3}+280 B b \,c^{3} x^{3}+330 A b \,c^{3} x^{2}-240 B \,b^{2} c^{2} x^{2}-264 A \,b^{2} c^{2} x +192 B \,b^{3} c x +176 A \,b^{3} c -128 b^{4} B \right) \sqrt{c \,x^{2}+b x}}{3465 c^{5} \sqrt{x}}"," ",0,"-2/3465*(c*x+b)*(-315*B*c^4*x^4-385*A*c^4*x^3+280*B*b*c^3*x^3+330*A*b*c^3*x^2-240*B*b^2*c^2*x^2-264*A*b^2*c^2*x+192*B*b^3*c*x+176*A*b^3*c-128*B*b^4)*(c*x^2+b*x)^(1/2)/c^5/x^(1/2)","A"
196,1,83,109,0.085000," ","int(x^(3/2)*(B*x+A)*(c*x^2+b*x)^(1/2),x)","\frac{2 \left(c x +b \right) \left(35 B \,c^{3} x^{3}+45 A \,c^{3} x^{2}-30 B b \,c^{2} x^{2}-36 A b \,c^{2} x +24 B \,b^{2} c x +24 A \,b^{2} c -16 b^{3} B \right) \sqrt{c \,x^{2}+b x}}{315 c^{4} \sqrt{x}}"," ",0,"2/315*(c*x+b)*(35*B*c^3*x^3+45*A*c^3*x^2-30*B*b*c^2*x^2-36*A*b*c^2*x+24*B*b^2*c*x+24*A*b^2*c-16*B*b^3)*(c*x^2+b*x)^(1/2)/c^4/x^(1/2)","A"
197,1,59,78,0.046000," ","int((B*x+A)*x^(1/2)*(c*x^2+b*x)^(1/2),x)","-\frac{2 \left(c x +b \right) \left(-15 B \,c^{2} x^{2}-21 A \,c^{2} x +12 B b c x +14 A b c -8 b^{2} B \right) \sqrt{c \,x^{2}+b x}}{105 c^{3} \sqrt{x}}"," ",0,"-2/105*(c*x+b)*(-15*B*c^2*x^2-21*A*c^2*x+12*B*b*c*x+14*A*b*c-8*B*b^2)*(c*x^2+b*x)^(1/2)/c^3/x^(1/2)","A"
198,1,39,49,0.047000," ","int((B*x+A)*(c*x^2+b*x)^(1/2)/x^(1/2),x)","\frac{2 \left(c x +b \right) \left(3 B c x +5 A c -2 b B \right) \sqrt{c \,x^{2}+b x}}{15 c^{2} \sqrt{x}}"," ",0,"2/15*(c*x+b)*(3*B*c*x+5*A*c-2*B*b)*(c*x^2+b*x)^(1/2)/c^2/x^(1/2)","A"
199,1,79,63,0.058000," ","int((B*x+A)*(c*x^2+b*x)^(1/2)/x^(3/2),x)","-\frac{2 \sqrt{\left(c x +b \right) x}\, \left(3 A \sqrt{b}\, c \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-\sqrt{c x +b}\, B c x -3 \sqrt{c x +b}\, A c -\sqrt{c x +b}\, B b \right)}{3 \sqrt{c x +b}\, c \sqrt{x}}"," ",0,"-2/3*((c*x+b)*x)^(1/2)*(3*A*b^(1/2)*c*arctanh((c*x+b)^(1/2)/b^(1/2))-B*x*c*(c*x+b)^(1/2)-3*A*c*(c*x+b)^(1/2)-B*b*(c*x+b)^(1/2))/x^(1/2)/(c*x+b)^(1/2)/c","A"
200,1,86,79,0.067000," ","int((B*x+A)*(c*x^2+b*x)^(1/2)/x^(5/2),x)","\frac{\left(-A c x \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-2 B b x \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)+2 \sqrt{c x +b}\, B \sqrt{b}\, x -\sqrt{c x +b}\, A \sqrt{b}\right) \sqrt{\left(c x +b \right) x}}{\sqrt{c x +b}\, \sqrt{b}\, x^{\frac{3}{2}}}"," ",0,"(-A*arctanh((c*x+b)^(1/2)/b^(1/2))*x*c+2*B*(c*x+b)^(1/2)*x*b^(1/2)-2*B*arctanh((c*x+b)^(1/2)/b^(1/2))*x*b-A*(c*x+b)^(1/2)*b^(1/2))*((c*x+b)*x)^(1/2)/x^(3/2)/(c*x+b)^(1/2)/b^(1/2)","A"
201,1,108,83,0.069000," ","int((B*x+A)*(c*x^2+b*x)^(1/2)/x^(7/2),x)","\frac{\sqrt{\left(c x +b \right) x}\, \left(A \,c^{2} x^{2} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-4 B b c \,x^{2} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-\sqrt{c x +b}\, A \sqrt{b}\, c x -4 \sqrt{c x +b}\, B \,b^{\frac{3}{2}} x -2 \sqrt{c x +b}\, A \,b^{\frac{3}{2}}\right)}{4 \sqrt{c x +b}\, b^{\frac{3}{2}} x^{\frac{5}{2}}}"," ",0,"1/4*((c*x+b)*x)^(1/2)/b^(3/2)*(A*arctanh((c*x+b)^(1/2)/b^(1/2))*x^2*c^2-4*B*arctanh((c*x+b)^(1/2)/b^(1/2))*x^2*b*c-A*x*c*b^(1/2)*(c*x+b)^(1/2)-4*B*x*b^(3/2)*(c*x+b)^(1/2)-2*A*b^(3/2)*(c*x+b)^(1/2))/x^(5/2)/(c*x+b)^(1/2)","A"
202,1,147,114,0.093000," ","int((B*x+A)*(c*x^2+b*x)^(1/2)/x^(9/2),x)","-\frac{\sqrt{\left(c x +b \right) x}\, \left(3 A \,c^{3} x^{3} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-6 B b \,c^{2} x^{3} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-3 \sqrt{c x +b}\, A \sqrt{b}\, c^{2} x^{2}+6 \sqrt{c x +b}\, B \,b^{\frac{3}{2}} c \,x^{2}+2 \sqrt{c x +b}\, A \,b^{\frac{3}{2}} c x +12 \sqrt{c x +b}\, B \,b^{\frac{5}{2}} x +8 \sqrt{c x +b}\, A \,b^{\frac{5}{2}}\right)}{24 \sqrt{c x +b}\, b^{\frac{5}{2}} x^{\frac{7}{2}}}"," ",0,"-1/24*((c*x+b)*x)^(1/2)/b^(5/2)*(3*A*arctanh((c*x+b)^(1/2)/b^(1/2))*x^3*c^3-6*B*arctanh((c*x+b)^(1/2)/b^(1/2))*x^3*b*c^2-3*A*x^2*c^2*b^(1/2)*(c*x+b)^(1/2)+6*B*x^2*b^(3/2)*c*(c*x+b)^(1/2)+2*A*x*b^(3/2)*c*(c*x+b)^(1/2)+12*B*x*b^(5/2)*(c*x+b)^(1/2)+8*A*b^(5/2)*(c*x+b)^(1/2))/x^(7/2)/(c*x+b)^(1/2)","A"
203,1,131,171,0.059000," ","int(x^(5/2)*(B*x+A)*(c*x^2+b*x)^(3/2),x)","\frac{2 \left(c x +b \right) \left(3003 B \,x^{5} c^{5}+3465 A \,c^{5} x^{4}-2310 B b \,c^{4} x^{4}-2520 A b \,c^{4} x^{3}+1680 B \,b^{2} c^{3} x^{3}+1680 A \,b^{2} c^{3} x^{2}-1120 B \,b^{3} c^{2} x^{2}-960 A \,b^{3} c^{2} x +640 B \,b^{4} c x +384 A \,b^{4} c -256 B \,b^{5}\right) \left(c \,x^{2}+b x \right)^{\frac{3}{2}}}{45045 c^{6} x^{\frac{3}{2}}}"," ",0,"2/45045*(c*x+b)*(3003*B*c^5*x^5+3465*A*c^5*x^4-2310*B*b*c^4*x^4-2520*A*b*c^4*x^3+1680*B*b^2*c^3*x^3+1680*A*b^2*c^3*x^2-1120*B*b^3*c^2*x^2-960*A*b^3*c^2*x+640*B*b^4*c*x+384*A*b^4*c-256*B*b^5)*(c*x^2+b*x)^(3/2)/c^6/x^(3/2)","A"
204,1,107,140,0.054000," ","int(x^(3/2)*(B*x+A)*(c*x^2+b*x)^(3/2),x)","-\frac{2 \left(c x +b \right) \left(-1155 B \,x^{4} c^{4}-1365 A \,c^{4} x^{3}+840 B b \,c^{3} x^{3}+910 A b \,c^{3} x^{2}-560 B \,b^{2} c^{2} x^{2}-520 A \,b^{2} c^{2} x +320 B \,b^{3} c x +208 A \,b^{3} c -128 b^{4} B \right) \left(c \,x^{2}+b x \right)^{\frac{3}{2}}}{15015 c^{5} x^{\frac{3}{2}}}"," ",0,"-2/15015*(c*x+b)*(-1155*B*c^4*x^4-1365*A*c^4*x^3+840*B*b*c^3*x^3+910*A*b*c^3*x^2-560*B*b^2*c^2*x^2-520*A*b^2*c^2*x+320*B*b^3*c*x+208*A*b^3*c-128*B*b^4)*(c*x^2+b*x)^(3/2)/c^5/x^(3/2)","A"
205,1,83,109,0.050000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)*x^(1/2),x)","\frac{2 \left(c x +b \right) \left(315 B \,c^{3} x^{3}+385 A \,c^{3} x^{2}-210 B b \,c^{2} x^{2}-220 A b \,c^{2} x +120 B \,b^{2} c x +88 A \,b^{2} c -48 b^{3} B \right) \left(c \,x^{2}+b x \right)^{\frac{3}{2}}}{3465 c^{4} x^{\frac{3}{2}}}"," ",0,"2/3465*(c*x+b)*(315*B*c^3*x^3+385*A*c^3*x^2-210*B*b*c^2*x^2-220*A*b*c^2*x+120*B*b^2*c*x+88*A*b^2*c-48*B*b^3)*(c*x^2+b*x)^(3/2)/c^4/x^(3/2)","A"
206,1,59,78,0.062000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/x^(1/2),x)","-\frac{2 \left(c x +b \right) \left(-35 B \,c^{2} x^{2}-45 A \,c^{2} x +20 B b c x +18 A b c -8 b^{2} B \right) \left(c \,x^{2}+b x \right)^{\frac{3}{2}}}{315 c^{3} x^{\frac{3}{2}}}"," ",0,"-2/315*(c*x+b)*(-35*B*c^2*x^2-45*A*c^2*x+20*B*b*c*x+18*A*b*c-8*B*b^2)*(c*x^2+b*x)^(3/2)/c^3/x^(3/2)","A"
207,1,39,49,0.050000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/x^(3/2),x)","\frac{2 \left(c x +b \right) \left(5 B c x +7 A c -2 b B \right) \left(c \,x^{2}+b x \right)^{\frac{3}{2}}}{35 c^{2} x^{\frac{3}{2}}}"," ",0,"2/35*(c*x+b)*(5*B*c*x+7*A*c-2*B*b)*(c*x^2+b*x)^(3/2)/c^2/x^(3/2)","A"
208,1,113,81,0.056000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/x^(5/2),x)","-\frac{2 \sqrt{\left(c x +b \right) x}\, \left(-3 \sqrt{c x +b}\, B \,c^{2} x^{2}+15 A \,b^{\frac{3}{2}} c \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-5 \sqrt{c x +b}\, A \,c^{2} x -6 \sqrt{c x +b}\, B b c x -20 \sqrt{c x +b}\, A b c -3 \sqrt{c x +b}\, B \,b^{2}\right)}{15 \sqrt{c x +b}\, c \sqrt{x}}"," ",0,"-2/15*((c*x+b)*x)^(1/2)*(-3*B*x^2*c^2*(c*x+b)^(1/2)+15*A*b^(3/2)*c*arctanh((c*x+b)^(1/2)/b^(1/2))-5*A*x*c^2*(c*x+b)^(1/2)-6*B*x*b*c*(c*x+b)^(1/2)-20*A*b*c*(c*x+b)^(1/2)-3*B*b^2*(c*x+b)^(1/2))/x^(1/2)/(c*x+b)^(1/2)/c","A"
209,1,122,106,0.068000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/x^(7/2),x)","-\frac{\sqrt{\left(c x +b \right) x}\, \left(9 A b c x \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)+6 B \,b^{2} x \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-2 \sqrt{c x +b}\, B \sqrt{b}\, c \,x^{2}-6 \sqrt{c x +b}\, A \sqrt{b}\, c x -8 \sqrt{c x +b}\, B \,b^{\frac{3}{2}} x +3 \sqrt{c x +b}\, A \,b^{\frac{3}{2}}\right)}{3 \sqrt{c x +b}\, \sqrt{b}\, x^{\frac{3}{2}}}"," ",0,"-1/3*((c*x+b)*x)^(1/2)*(-2*B*x^2*c*b^(1/2)*(c*x+b)^(1/2)+9*A*arctanh((c*x+b)^(1/2)/b^(1/2))*x*b*c-6*A*x*c*b^(1/2)*(c*x+b)^(1/2)+6*B*arctanh((c*x+b)^(1/2)/b^(1/2))*x*b^2-8*B*x*b^(3/2)*(c*x+b)^(1/2)+3*A*b^(3/2)*(c*x+b)^(1/2))/x^(3/2)/(c*x+b)^(1/2)/b^(1/2)","A"
210,1,126,109,0.068000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/x^(9/2),x)","-\frac{\sqrt{\left(c x +b \right) x}\, \left(3 A \,c^{2} x^{2} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)+12 B b c \,x^{2} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-8 \sqrt{c x +b}\, B \sqrt{b}\, c \,x^{2}+5 \sqrt{c x +b}\, A \sqrt{b}\, c x +4 \sqrt{c x +b}\, B \,b^{\frac{3}{2}} x +2 \sqrt{c x +b}\, A \,b^{\frac{3}{2}}\right)}{4 \sqrt{c x +b}\, \sqrt{b}\, x^{\frac{5}{2}}}"," ",0,"-1/4*((c*x+b)*x)^(1/2)*(3*A*arctanh((c*x+b)^(1/2)/b^(1/2))*x^2*c^2+12*B*arctanh((c*x+b)^(1/2)/b^(1/2))*x^2*b*c-8*(c*x+b)^(1/2)*B*b^(1/2)*c*x^2+5*(c*x+b)^(1/2)*A*b^(1/2)*c*x+4*(c*x+b)^(1/2)*B*b^(3/2)*x+2*(c*x+b)^(1/2)*A*b^(3/2))/x^(5/2)/(c*x+b)^(1/2)/b^(1/2)","A"
211,1,147,114,0.067000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/x^(11/2),x)","\frac{\sqrt{\left(c x +b \right) x}\, \left(3 A \,c^{3} x^{3} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-18 B b \,c^{2} x^{3} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-3 \sqrt{c x +b}\, A \sqrt{b}\, c^{2} x^{2}-30 \sqrt{c x +b}\, B \,b^{\frac{3}{2}} c \,x^{2}-14 \sqrt{c x +b}\, A \,b^{\frac{3}{2}} c x -12 \sqrt{c x +b}\, B \,b^{\frac{5}{2}} x -8 \sqrt{c x +b}\, A \,b^{\frac{5}{2}}\right)}{24 \sqrt{c x +b}\, b^{\frac{3}{2}} x^{\frac{7}{2}}}"," ",0,"1/24*((c*x+b)*x)^(1/2)/b^(3/2)*(3*A*arctanh((c*x+b)^(1/2)/b^(1/2))*x^3*c^3-18*B*arctanh((c*x+b)^(1/2)/b^(1/2))*x^3*b*c^2-3*(c*x+b)^(1/2)*A*b^(1/2)*c^2*x^2-30*(c*x+b)^(1/2)*B*b^(3/2)*c*x^2-14*(c*x+b)^(1/2)*A*b^(3/2)*c*x-12*(c*x+b)^(1/2)*B*b^(5/2)*x-8*(c*x+b)^(1/2)*A*b^(5/2))/x^(7/2)/(c*x+b)^(1/2)","A"
212,1,185,145,0.084000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/x^(13/2),x)","-\frac{\sqrt{\left(c x +b \right) x}\, \left(9 A \,c^{4} x^{4} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-24 B b \,c^{3} x^{4} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-9 \sqrt{c x +b}\, A \sqrt{b}\, c^{3} x^{3}+24 \sqrt{c x +b}\, B \,b^{\frac{3}{2}} c^{2} x^{3}+6 \sqrt{c x +b}\, A \,b^{\frac{3}{2}} c^{2} x^{2}+112 \sqrt{c x +b}\, B \,b^{\frac{5}{2}} c \,x^{2}+72 \sqrt{c x +b}\, A \,b^{\frac{5}{2}} c x +64 \sqrt{c x +b}\, B \,b^{\frac{7}{2}} x +48 \sqrt{c x +b}\, A \,b^{\frac{7}{2}}\right)}{192 \sqrt{c x +b}\, b^{\frac{5}{2}} x^{\frac{9}{2}}}"," ",0,"-1/192*((c*x+b)*x)^(1/2)/b^(5/2)*(9*A*arctanh((c*x+b)^(1/2)/b^(1/2))*x^4*c^4-24*B*arctanh((c*x+b)^(1/2)/b^(1/2))*x^4*b*c^3-9*A*x^3*c^3*b^(1/2)*(c*x+b)^(1/2)+24*B*x^3*b^(3/2)*c^2*(c*x+b)^(1/2)+6*A*x^2*b^(3/2)*c^2*(c*x+b)^(1/2)+112*B*x^2*b^(5/2)*c*(c*x+b)^(1/2)+72*A*x*b^(5/2)*c*(c*x+b)^(1/2)+64*B*x*b^(7/2)*(c*x+b)^(1/2)+48*A*b^(7/2)*(c*x+b)^(1/2))/x^(9/2)/(c*x+b)^(1/2)","A"
213,1,223,176,0.071000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/x^(15/2),x)","\frac{\sqrt{\left(c x +b \right) x}\, \left(15 A \,c^{5} x^{5} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-30 B b \,c^{4} x^{5} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-15 \sqrt{c x +b}\, A \sqrt{b}\, c^{4} x^{4}+30 \sqrt{c x +b}\, B \,b^{\frac{3}{2}} c^{3} x^{4}+10 \sqrt{c x +b}\, A \,b^{\frac{3}{2}} c^{3} x^{3}-20 \sqrt{c x +b}\, B \,b^{\frac{5}{2}} c^{2} x^{3}-8 \sqrt{c x +b}\, A \,b^{\frac{5}{2}} c^{2} x^{2}-240 \sqrt{c x +b}\, B \,b^{\frac{7}{2}} c \,x^{2}-176 \sqrt{c x +b}\, A \,b^{\frac{7}{2}} c x -160 \sqrt{c x +b}\, B \,b^{\frac{9}{2}} x -128 \sqrt{c x +b}\, A \,b^{\frac{9}{2}}\right)}{640 \sqrt{c x +b}\, b^{\frac{7}{2}} x^{\frac{11}{2}}}"," ",0,"1/640*((c*x+b)*x)^(1/2)/b^(7/2)*(15*A*arctanh((c*x+b)^(1/2)/b^(1/2))*x^5*c^5-30*B*arctanh((c*x+b)^(1/2)/b^(1/2))*x^5*b*c^4-15*A*x^4*c^4*b^(1/2)*(c*x+b)^(1/2)+30*B*x^4*b^(3/2)*c^3*(c*x+b)^(1/2)+10*A*x^3*b^(3/2)*c^3*(c*x+b)^(1/2)-20*B*x^3*b^(5/2)*c^2*(c*x+b)^(1/2)-8*A*x^2*b^(5/2)*c^2*(c*x+b)^(1/2)-240*B*x^2*b^(7/2)*c*(c*x+b)^(1/2)-176*A*x*b^(7/2)*c*(c*x+b)^(1/2)-160*B*x*b^(9/2)*(c*x+b)^(1/2)-128*A*b^(9/2)*(c*x+b)^(1/2))/x^(11/2)/(c*x+b)^(1/2)","A"
214,1,131,171,0.051000," ","int(x^(3/2)*(B*x+A)*(c*x^2+b*x)^(5/2),x)","\frac{2 \left(c x +b \right) \left(45045 B \,x^{5} c^{5}+51051 A \,c^{5} x^{4}-30030 B b \,c^{4} x^{4}-31416 A b \,c^{4} x^{3}+18480 B \,b^{2} c^{3} x^{3}+17136 A \,b^{2} c^{3} x^{2}-10080 B \,b^{3} c^{2} x^{2}-7616 A \,b^{3} c^{2} x +4480 B \,b^{4} c x +2176 A \,b^{4} c -1280 B \,b^{5}\right) \left(c \,x^{2}+b x \right)^{\frac{5}{2}}}{765765 c^{6} x^{\frac{5}{2}}}"," ",0,"2/765765*(c*x+b)*(45045*B*c^5*x^5+51051*A*c^5*x^4-30030*B*b*c^4*x^4-31416*A*b*c^4*x^3+18480*B*b^2*c^3*x^3+17136*A*b^2*c^3*x^2-10080*B*b^3*c^2*x^2-7616*A*b^3*c^2*x+4480*B*b^4*c*x+2176*A*b^4*c-1280*B*b^5)*(c*x^2+b*x)^(5/2)/c^6/x^(5/2)","A"
215,1,107,140,0.054000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)*x^(1/2),x)","-\frac{2 \left(c x +b \right) \left(-3003 B \,x^{4} c^{4}-3465 A \,c^{4} x^{3}+1848 B b \,c^{3} x^{3}+1890 A b \,c^{3} x^{2}-1008 B \,b^{2} c^{2} x^{2}-840 A \,b^{2} c^{2} x +448 B \,b^{3} c x +240 A \,b^{3} c -128 b^{4} B \right) \left(c \,x^{2}+b x \right)^{\frac{5}{2}}}{45045 c^{5} x^{\frac{5}{2}}}"," ",0,"-2/45045*(c*x+b)*(-3003*B*c^4*x^4-3465*A*c^4*x^3+1848*B*b*c^3*x^3+1890*A*b*c^3*x^2-1008*B*b^2*c^2*x^2-840*A*b^2*c^2*x+448*B*b^3*c*x+240*A*b^3*c-128*B*b^4)*(c*x^2+b*x)^(5/2)/c^5/x^(5/2)","A"
216,1,83,109,0.053000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/x^(1/2),x)","\frac{2 \left(c x +b \right) \left(693 B \,c^{3} x^{3}+819 A \,c^{3} x^{2}-378 B b \,c^{2} x^{2}-364 A b \,c^{2} x +168 B \,b^{2} c x +104 A \,b^{2} c -48 b^{3} B \right) \left(c \,x^{2}+b x \right)^{\frac{5}{2}}}{9009 c^{4} x^{\frac{5}{2}}}"," ",0,"2/9009*(c*x+b)*(693*B*c^3*x^3+819*A*c^3*x^2-378*B*b*c^2*x^2-364*A*b*c^2*x+168*B*b^2*c*x+104*A*b^2*c-48*B*b^3)*(c*x^2+b*x)^(5/2)/c^4/x^(5/2)","A"
217,1,59,78,0.050000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/x^(3/2),x)","-\frac{2 \left(c x +b \right) \left(-63 B \,c^{2} x^{2}-77 A \,c^{2} x +28 B b c x +22 A b c -8 b^{2} B \right) \left(c \,x^{2}+b x \right)^{\frac{5}{2}}}{693 c^{3} x^{\frac{5}{2}}}"," ",0,"-2/693*(c*x+b)*(-63*B*c^2*x^2-77*A*c^2*x+28*B*b*c*x+22*A*b*c-8*B*b^2)*(c*x^2+b*x)^(5/2)/c^3/x^(5/2)","A"
218,1,39,49,0.044000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/x^(5/2),x)","\frac{2 \left(c x +b \right) \left(7 B c x +9 A c -2 b B \right) \left(c \,x^{2}+b x \right)^{\frac{5}{2}}}{63 c^{2} x^{\frac{5}{2}}}"," ",0,"2/63*(c*x+b)*(7*B*c*x+9*A*c-2*B*b)*(c*x^2+b*x)^(5/2)/c^2/x^(5/2)","A"
219,1,151,101,0.059000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/x^(7/2),x)","-\frac{2 \sqrt{\left(c x +b \right) x}\, \left(-15 \sqrt{c x +b}\, B \,c^{3} x^{3}-21 \sqrt{c x +b}\, A \,c^{3} x^{2}-45 \sqrt{c x +b}\, B b \,c^{2} x^{2}+105 A \,b^{\frac{5}{2}} c \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-77 \sqrt{c x +b}\, A b \,c^{2} x -45 \sqrt{c x +b}\, B \,b^{2} c x -161 \sqrt{c x +b}\, A \,b^{2} c -15 \sqrt{c x +b}\, B \,b^{3}\right)}{105 \sqrt{c x +b}\, c \sqrt{x}}"," ",0,"-2/105*((c*x+b)*x)^(1/2)*(-15*B*x^3*c^3*(c*x+b)^(1/2)-21*A*x^2*c^3*(c*x+b)^(1/2)-45*B*x^2*b*c^2*(c*x+b)^(1/2)+105*A*b^(5/2)*c*arctanh((c*x+b)^(1/2)/b^(1/2))-77*A*x*b*c^2*(c*x+b)^(1/2)-45*B*x*b^2*c*(c*x+b)^(1/2)-161*A*b^2*c*(c*x+b)^(1/2)-15*B*b^3*(c*x+b)^(1/2))/x^(1/2)/(c*x+b)^(1/2)/c","A"
220,1,162,132,0.071000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/x^(9/2),x)","-\frac{\sqrt{\left(c x +b \right) x}\, \left(-6 \sqrt{c x +b}\, B \sqrt{b}\, c^{2} x^{3}+75 A \,b^{2} c x \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)+30 B \,b^{3} x \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-10 \sqrt{c x +b}\, A \sqrt{b}\, c^{2} x^{2}-22 \sqrt{c x +b}\, B \,b^{\frac{3}{2}} c \,x^{2}-70 \sqrt{c x +b}\, A \,b^{\frac{3}{2}} c x -46 \sqrt{c x +b}\, B \,b^{\frac{5}{2}} x +15 \sqrt{c x +b}\, A \,b^{\frac{5}{2}}\right)}{15 \sqrt{c x +b}\, \sqrt{b}\, x^{\frac{3}{2}}}"," ",0,"-1/15*((c*x+b)*x)^(1/2)*(-6*B*x^3*c^2*(c*x+b)^(1/2)*b^(1/2)-10*(c*x+b)^(1/2)*A*b^(1/2)*c^2*x^2-22*(c*x+b)^(1/2)*B*b^(3/2)*c*x^2+75*A*arctanh((c*x+b)^(1/2)/b^(1/2))*x*b^2*c-70*(c*x+b)^(1/2)*A*b^(3/2)*c*x+30*B*arctanh((c*x+b)^(1/2)/b^(1/2))*x*b^3-46*(c*x+b)^(1/2)*B*b^(5/2)*x+15*(c*x+b)^(1/2)*A*b^(5/2))/x^(3/2)/(c*x+b)^(1/2)/b^(1/2)","A"
221,1,167,138,0.062000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/x^(11/2),x)","-\frac{\sqrt{\left(c x +b \right) x}\, \left(45 A b \,c^{2} x^{2} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)+60 B \,b^{2} c \,x^{2} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-8 \sqrt{c x +b}\, B \sqrt{b}\, c^{2} x^{3}-24 \sqrt{c x +b}\, A \sqrt{b}\, c^{2} x^{2}-56 \sqrt{c x +b}\, B \,b^{\frac{3}{2}} c \,x^{2}+27 \sqrt{c x +b}\, A \,b^{\frac{3}{2}} c x +12 \sqrt{c x +b}\, B \,b^{\frac{5}{2}} x +6 \sqrt{c x +b}\, A \,b^{\frac{5}{2}}\right)}{12 \sqrt{c x +b}\, \sqrt{b}\, x^{\frac{5}{2}}}"," ",0,"-1/12*((c*x+b)*x)^(1/2)*(-8*(c*x+b)^(1/2)*B*b^(1/2)*c^2*x^3+45*A*arctanh((c*x+b)^(1/2)/b^(1/2))*x^2*b*c^2-24*(c*x+b)^(1/2)*A*b^(1/2)*c^2*x^2+60*B*arctanh((c*x+b)^(1/2)/b^(1/2))*x^2*b^2*c-56*(c*x+b)^(1/2)*B*b^(3/2)*c*x^2+27*(c*x+b)^(1/2)*A*b^(3/2)*c*x+12*(c*x+b)^(1/2)*B*b^(5/2)*x+6*(c*x+b)^(1/2)*A*b^(5/2))/x^(5/2)/(c*x+b)^(1/2)/b^(1/2)","A"
222,1,166,141,0.073000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/x^(13/2),x)","-\frac{\sqrt{\left(c x +b \right) x}\, \left(15 A \,c^{3} x^{3} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)+90 B b \,c^{2} x^{3} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-48 \sqrt{c x +b}\, B \sqrt{b}\, c^{2} x^{3}+33 \sqrt{c x +b}\, A \sqrt{b}\, c^{2} x^{2}+54 \sqrt{c x +b}\, B \,b^{\frac{3}{2}} c \,x^{2}+26 \sqrt{c x +b}\, A \,b^{\frac{3}{2}} c x +12 \sqrt{c x +b}\, B \,b^{\frac{5}{2}} x +8 \sqrt{c x +b}\, A \,b^{\frac{5}{2}}\right)}{24 \sqrt{c x +b}\, \sqrt{b}\, x^{\frac{7}{2}}}"," ",0,"-1/24*((c*x+b)*x)^(1/2)*(15*A*arctanh((c*x+b)^(1/2)/b^(1/2))*x^3*c^3+90*B*arctanh((c*x+b)^(1/2)/b^(1/2))*x^3*b*c^2-48*(c*x+b)^(1/2)*B*b^(1/2)*c^2*x^3+33*(c*x+b)^(1/2)*A*b^(1/2)*c^2*x^2+54*(c*x+b)^(1/2)*B*b^(3/2)*c*x^2+26*(c*x+b)^(1/2)*A*b^(3/2)*c*x+12*(c*x+b)^(1/2)*B*b^(5/2)*x+8*(c*x+b)^(1/2)*A*b^(5/2))/x^(7/2)/(c*x+b)^(1/2)/b^(1/2)","A"
223,1,185,145,0.067000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/x^(15/2),x)","\frac{\sqrt{\left(c x +b \right) x}\, \left(15 A \,c^{4} x^{4} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-120 B b \,c^{3} x^{4} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-15 \sqrt{c x +b}\, A \sqrt{b}\, c^{3} x^{3}-264 \sqrt{c x +b}\, B \,b^{\frac{3}{2}} c^{2} x^{3}-118 \sqrt{c x +b}\, A \,b^{\frac{3}{2}} c^{2} x^{2}-208 \sqrt{c x +b}\, B \,b^{\frac{5}{2}} c \,x^{2}-136 \sqrt{c x +b}\, A \,b^{\frac{5}{2}} c x -64 \sqrt{c x +b}\, B \,b^{\frac{7}{2}} x -48 \sqrt{c x +b}\, A \,b^{\frac{7}{2}}\right)}{192 \sqrt{c x +b}\, b^{\frac{3}{2}} x^{\frac{9}{2}}}"," ",0,"1/192*((c*x+b)*x)^(1/2)/b^(3/2)*(15*A*arctanh((c*x+b)^(1/2)/b^(1/2))*x^4*c^4-120*B*arctanh((c*x+b)^(1/2)/b^(1/2))*x^4*b*c^3-15*(c*x+b)^(1/2)*A*b^(1/2)*c^3*x^3-264*(c*x+b)^(1/2)*B*b^(3/2)*c^2*x^3-118*(c*x+b)^(1/2)*A*b^(3/2)*c^2*x^2-208*(c*x+b)^(1/2)*B*b^(5/2)*c*x^2-136*(c*x+b)^(1/2)*A*b^(5/2)*c*x-64*(c*x+b)^(1/2)*B*b^(7/2)*x-48*(c*x+b)^(1/2)*A*b^(7/2))/x^(9/2)/(c*x+b)^(1/2)","A"
224,1,223,176,0.074000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/x^(17/2),x)","-\frac{\sqrt{\left(c x +b \right) x}\, \left(45 A \,c^{5} x^{5} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-150 B b \,c^{4} x^{5} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-45 \sqrt{c x +b}\, A \sqrt{b}\, c^{4} x^{4}+150 \sqrt{c x +b}\, B \,b^{\frac{3}{2}} c^{3} x^{4}+30 \sqrt{c x +b}\, A \,b^{\frac{3}{2}} c^{3} x^{3}+1180 \sqrt{c x +b}\, B \,b^{\frac{5}{2}} c^{2} x^{3}+744 \sqrt{c x +b}\, A \,b^{\frac{5}{2}} c^{2} x^{2}+1360 \sqrt{c x +b}\, B \,b^{\frac{7}{2}} c \,x^{2}+1008 \sqrt{c x +b}\, A \,b^{\frac{7}{2}} c x +480 \sqrt{c x +b}\, B \,b^{\frac{9}{2}} x +384 \sqrt{c x +b}\, A \,b^{\frac{9}{2}}\right)}{1920 \sqrt{c x +b}\, b^{\frac{5}{2}} x^{\frac{11}{2}}}"," ",0,"-1/1920*((c*x+b)*x)^(1/2)/b^(5/2)*(45*A*arctanh((c*x+b)^(1/2)/b^(1/2))*x^5*c^5-150*B*arctanh((c*x+b)^(1/2)/b^(1/2))*x^5*b*c^4-45*(c*x+b)^(1/2)*A*b^(1/2)*c^4*x^4+150*(c*x+b)^(1/2)*B*b^(3/2)*c^3*x^4+30*(c*x+b)^(1/2)*A*b^(3/2)*c^3*x^3+1180*(c*x+b)^(1/2)*B*b^(5/2)*c^2*x^3+744*(c*x+b)^(1/2)*A*b^(5/2)*c^2*x^2+1360*(c*x+b)^(1/2)*B*b^(7/2)*c*x^2+1008*(c*x+b)^(1/2)*A*b^(7/2)*c*x+480*(c*x+b)^(1/2)*B*b^(9/2)*x+384*(c*x+b)^(1/2)*A*b^(9/2))/x^(11/2)/(c*x+b)^(1/2)","A"
225,1,107,140,0.048000," ","int(x^(7/2)*(B*x+A)/(c*x^2+b*x)^(1/2),x)","-\frac{2 \left(c x +b \right) \left(-35 B \,x^{4} c^{4}-45 A \,c^{4} x^{3}+40 B b \,c^{3} x^{3}+54 A b \,c^{3} x^{2}-48 B \,b^{2} c^{2} x^{2}-72 A \,b^{2} c^{2} x +64 B \,b^{3} c x +144 A \,b^{3} c -128 b^{4} B \right) \sqrt{x}}{315 \sqrt{c \,x^{2}+b x}\, c^{5}}"," ",0,"-2/315*(c*x+b)*(-35*B*c^4*x^4-45*A*c^4*x^3+40*B*b*c^3*x^3+54*A*b*c^3*x^2-48*B*b^2*c^2*x^2-72*A*b^2*c^2*x+64*B*b^3*c*x+144*A*b^3*c-128*B*b^4)*x^(1/2)/c^5/(c*x^2+b*x)^(1/2)","A"
226,1,83,109,0.049000," ","int(x^(5/2)*(B*x+A)/(c*x^2+b*x)^(1/2),x)","\frac{2 \left(c x +b \right) \left(15 B \,c^{3} x^{3}+21 A \,c^{3} x^{2}-18 B b \,c^{2} x^{2}-28 A b \,c^{2} x +24 B \,b^{2} c x +56 A \,b^{2} c -48 b^{3} B \right) \sqrt{x}}{105 \sqrt{c \,x^{2}+b x}\, c^{4}}"," ",0,"2/105*(c*x+b)*(15*B*c^3*x^3+21*A*c^3*x^2-18*B*b*c^2*x^2-28*A*b*c^2*x+24*B*b^2*c*x+56*A*b^2*c-48*B*b^3)*x^(1/2)/c^4/(c*x^2+b*x)^(1/2)","A"
227,1,59,78,0.060000," ","int(x^(3/2)*(B*x+A)/(c*x^2+b*x)^(1/2),x)","-\frac{2 \left(c x +b \right) \left(-3 B \,c^{2} x^{2}-5 A \,c^{2} x +4 B b c x +10 A b c -8 b^{2} B \right) \sqrt{x}}{15 \sqrt{c \,x^{2}+b x}\, c^{3}}"," ",0,"-2/15*(c*x+b)*(-3*B*c^2*x^2-5*A*c^2*x+4*B*b*c*x+10*A*b*c-8*B*b^2)*x^(1/2)/c^3/(c*x^2+b*x)^(1/2)","A"
228,1,38,49,0.048000," ","int((B*x+A)*x^(1/2)/(c*x^2+b*x)^(1/2),x)","\frac{2 \left(c x +b \right) \left(B c x +3 A c -2 b B \right) \sqrt{x}}{3 \sqrt{c \,x^{2}+b x}\, c^{2}}"," ",0,"2/3*(c*x+b)*(B*c*x+3*A*c-2*B*b)*x^(1/2)/c^2/(c*x^2+b*x)^(1/2)","A"
229,1,72,56,0.085000," ","int((B*x+A)/(e*x)^(1/2)/(c*x^2+b*x)^(1/2),x)","-\frac{2 \sqrt{\left(c x +b \right) x}\, \left(A c e \arctanh \left(\frac{\sqrt{\left(c x +b \right) e}}{\sqrt{b e}}\right)-\sqrt{\left(c x +b \right) e}\, \sqrt{b e}\, B \right)}{\sqrt{e x}\, \sqrt{\left(c x +b \right) e}\, \sqrt{b e}\, c}"," ",0,"-2/(e*x)^(1/2)*((c*x+b)*x)^(1/2)*(A*c*e*arctanh((e*(c*x+b))^(1/2)/(b*e)^(1/2))-B*(e*(c*x+b))^(1/2)*(b*e)^(1/2))/(e*(c*x+b))^(1/2)/c/(b*e)^(1/2)","A"
230,1,71,54,0.062000," ","int((B*x+A)/x^(3/2)/(c*x^2+b*x)^(1/2),x)","\frac{\sqrt{\left(c x +b \right) x}\, \left(A c x \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-2 B b x \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-\sqrt{c x +b}\, A \sqrt{b}\right)}{\sqrt{c x +b}\, b^{\frac{3}{2}} x^{\frac{3}{2}}}"," ",0,"((c*x+b)*x)^(1/2)/b^(3/2)*(A*arctanh((c*x+b)^(1/2)/b^(1/2))*x*c-2*B*arctanh((c*x+b)^(1/2)/b^(1/2))*x*b-(c*x+b)^(1/2)*A*b^(1/2))/x^(3/2)/(c*x+b)^(1/2)","A"
231,1,109,83,0.069000," ","int((B*x+A)/x^(5/2)/(c*x^2+b*x)^(1/2),x)","-\frac{\sqrt{\left(c x +b \right) x}\, \left(3 A \,c^{2} x^{2} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-4 B b c \,x^{2} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-3 \sqrt{c x +b}\, A \sqrt{b}\, c x +4 \sqrt{c x +b}\, B \,b^{\frac{3}{2}} x +2 \sqrt{c x +b}\, A \,b^{\frac{3}{2}}\right)}{4 \sqrt{c x +b}\, b^{\frac{5}{2}} x^{\frac{5}{2}}}"," ",0,"-1/4*((c*x+b)*x)^(1/2)/b^(5/2)*(3*A*arctanh((c*x+b)^(1/2)/b^(1/2))*x^2*c^2-4*B*arctanh((c*x+b)^(1/2)/b^(1/2))*x^2*b*c-3*(c*x+b)^(1/2)*A*b^(1/2)*c*x+4*(c*x+b)^(1/2)*B*b^(3/2)*x+2*(c*x+b)^(1/2)*A*b^(3/2))/x^(5/2)/(c*x+b)^(1/2)","A"
232,1,147,114,0.065000," ","int((B*x+A)/x^(7/2)/(c*x^2+b*x)^(1/2),x)","\frac{\sqrt{\left(c x +b \right) x}\, \left(15 A \,c^{3} x^{3} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-18 B b \,c^{2} x^{3} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-15 \sqrt{c x +b}\, A \sqrt{b}\, c^{2} x^{2}+18 \sqrt{c x +b}\, B \,b^{\frac{3}{2}} c \,x^{2}+10 \sqrt{c x +b}\, A \,b^{\frac{3}{2}} c x -12 \sqrt{c x +b}\, B \,b^{\frac{5}{2}} x -8 \sqrt{c x +b}\, A \,b^{\frac{5}{2}}\right)}{24 \sqrt{c x +b}\, b^{\frac{7}{2}} x^{\frac{7}{2}}}"," ",0,"1/24*((c*x+b)*x)^(1/2)/b^(7/2)*(15*A*arctanh((c*x+b)^(1/2)/b^(1/2))*x^3*c^3-18*B*arctanh((c*x+b)^(1/2)/b^(1/2))*x^3*b*c^2-15*(c*x+b)^(1/2)*A*b^(1/2)*c^2*x^2+18*(c*x+b)^(1/2)*B*b^(3/2)*c*x^2+10*(c*x+b)^(1/2)*A*b^(3/2)*c*x-12*(c*x+b)^(1/2)*B*b^(5/2)*x-8*(c*x+b)^(1/2)*A*b^(5/2))/x^(7/2)/(c*x+b)^(1/2)","A"
233,1,107,150,0.050000," ","int(x^(9/2)*(B*x+A)/(c*x^2+b*x)^(3/2),x)","\frac{2 \left(c x +b \right) \left(5 B \,x^{4} c^{4}+7 A \,c^{4} x^{3}-8 B b \,c^{3} x^{3}-14 A b \,c^{3} x^{2}+16 B \,b^{2} c^{2} x^{2}+56 A \,b^{2} c^{2} x -64 B \,b^{3} c x +112 A \,b^{3} c -128 b^{4} B \right) x^{\frac{3}{2}}}{35 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{5}}"," ",0,"2/35*(c*x+b)*(5*B*c^4*x^4+7*A*c^4*x^3-8*B*b*c^3*x^3-14*A*b*c^3*x^2+16*B*b^2*c^2*x^2+56*A*b^2*c^2*x-64*B*b^3*c*x+112*A*b^3*c-128*B*b^4)*x^(3/2)/c^5/(c*x^2+b*x)^(3/2)","A"
234,1,83,119,0.048000," ","int(x^(7/2)*(B*x+A)/(c*x^2+b*x)^(3/2),x)","-\frac{2 \left(c x +b \right) \left(-3 B \,c^{3} x^{3}-5 A \,c^{3} x^{2}+6 B b \,c^{2} x^{2}+20 A b \,c^{2} x -24 B \,b^{2} c x +40 A \,b^{2} c -48 b^{3} B \right) x^{\frac{3}{2}}}{15 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{4}}"," ",0,"-2/15*(c*x+b)*(-3*B*c^3*x^3-5*A*c^3*x^2+6*B*b*c^2*x^2+20*A*b*c^2*x-24*B*b^2*c*x+40*A*b^2*c-48*B*b^3)*x^(3/2)/c^4/(c*x^2+b*x)^(3/2)","A"
235,1,58,90,0.044000," ","int(x^(5/2)*(B*x+A)/(c*x^2+b*x)^(3/2),x)","\frac{2 \left(c x +b \right) \left(B \,c^{2} x^{2}+3 A \,c^{2} x -4 B b c x +6 A b c -8 b^{2} B \right) x^{\frac{3}{2}}}{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{3}}"," ",0,"2/3*(c*x+b)*(B*c^2*x^2+3*A*c^2*x-4*B*b*c*x+6*A*b*c-8*B*b^2)*x^(3/2)/c^3/(c*x^2+b*x)^(3/2)","A"
236,1,38,62,0.047000," ","int(x^(3/2)*(B*x+A)/(c*x^2+b*x)^(3/2),x)","-\frac{2 \left(c x +b \right) \left(-B c x +A c -2 b B \right) x^{\frac{3}{2}}}{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{2}}"," ",0,"-2*(c*x+b)*(-B*c*x+A*c-2*B*b)*x^(3/2)/c^2/(c*x^2+b*x)^(3/2)","A"
237,1,63,56,0.060000," ","int((B*x+A)*x^(1/2)/(c*x^2+b*x)^(3/2),x)","-\frac{2 \sqrt{\left(c x +b \right) x}\, \left(\sqrt{c x +b}\, A c \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-A \sqrt{b}\, c +B \,b^{\frac{3}{2}}\right)}{\left(c x +b \right) b^{\frac{3}{2}} c \sqrt{x}}"," ",0,"-2*((c*x+b)*x)^(1/2)/b^(3/2)*(A*arctanh((c*x+b)^(1/2)/b^(1/2))*c*(c*x+b)^(1/2)-A*c*b^(1/2)+B*b^(3/2))/x^(1/2)/(c*x+b)/c","A"
238,1,94,81,0.091000," ","int((B*x+A)/(c*x^2+b*x)^(3/2)/x^(1/2),x)","\frac{\sqrt{\left(c x +b \right) x}\, \left(3 \sqrt{c x +b}\, A c x \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-2 \sqrt{c x +b}\, B b x \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-3 A \sqrt{b}\, c x +2 B \,b^{\frac{3}{2}} x -A \,b^{\frac{3}{2}}\right)}{\left(c x +b \right) b^{\frac{5}{2}} x^{\frac{3}{2}}}"," ",0,"((c*x+b)*x)^(1/2)/x^(3/2)*(3*A*(c*x+b)^(1/2)*arctanh((c*x+b)^(1/2)/b^(1/2))*x*c-2*B*(c*x+b)^(1/2)*arctanh((c*x+b)^(1/2)/b^(1/2))*x*b+2*B*b^(3/2)*x-3*A*b^(1/2)*x*c-A*b^(3/2))/(c*x+b)/b^(5/2)","A"
239,1,124,112,0.090000," ","int((B*x+A)/x^(3/2)/(c*x^2+b*x)^(3/2),x)","-\frac{\sqrt{\left(c x +b \right) x}\, \left(15 \sqrt{c x +b}\, A \,c^{2} x^{2} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-12 \sqrt{c x +b}\, B b c \,x^{2} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-15 A \sqrt{b}\, c^{2} x^{2}+12 B \,b^{\frac{3}{2}} c \,x^{2}-5 A \,b^{\frac{3}{2}} c x +4 B \,b^{\frac{5}{2}} x +2 A \,b^{\frac{5}{2}}\right)}{4 \left(c x +b \right) b^{\frac{7}{2}} x^{\frac{5}{2}}}"," ",0,"-1/4/x^(5/2)*((c*x+b)*x)^(1/2)*(15*A*(c*x+b)^(1/2)*arctanh((c*x+b)^(1/2)/b^(1/2))*x^2*c^2-12*B*(c*x+b)^(1/2)*arctanh((c*x+b)^(1/2)/b^(1/2))*x^2*b*c+4*B*b^(5/2)*x+12*B*b^(3/2)*x^2*c+2*A*b^(5/2)-5*A*b^(3/2)*x*c-15*A*b^(1/2)*x^2*c^2)/(c*x+b)/b^(7/2)","A"
240,1,150,145,0.111000," ","int((B*x+A)/x^(5/2)/(c*x^2+b*x)^(3/2),x)","\frac{\sqrt{\left(c x +b \right) x}\, \left(105 \sqrt{c x +b}\, A \,c^{3} x^{3} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-90 \sqrt{c x +b}\, B b \,c^{2} x^{3} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-105 A \sqrt{b}\, c^{3} x^{3}+90 B \,b^{\frac{3}{2}} c^{2} x^{3}-35 A \,b^{\frac{3}{2}} c^{2} x^{2}+30 B \,b^{\frac{5}{2}} c \,x^{2}+14 A \,b^{\frac{5}{2}} c x -12 B \,b^{\frac{7}{2}} x -8 A \,b^{\frac{7}{2}}\right)}{24 \left(c x +b \right) b^{\frac{9}{2}} x^{\frac{7}{2}}}"," ",0,"1/24/x^(7/2)*((c*x+b)*x)^(1/2)*(105*A*(c*x+b)^(1/2)*arctanh((c*x+b)^(1/2)/b^(1/2))*x^3*c^3-90*B*(c*x+b)^(1/2)*arctanh((c*x+b)^(1/2)/b^(1/2))*x^3*b*c^2-12*B*b^(7/2)*x+30*B*b^(5/2)*x^2*c+90*B*b^(3/2)*x^3*c^2-8*A*b^(7/2)+14*A*b^(5/2)*x*c-35*A*b^(3/2)*x^2*c^2-105*A*b^(1/2)*x^3*c^3)/(c*x+b)/b^(9/2)","A"
241,1,174,176,0.092000," ","int((B*x+A)/x^(7/2)/(c*x^2+b*x)^(3/2),x)","-\frac{\sqrt{\left(c x +b \right) x}\, \left(945 \sqrt{c x +b}\, A \,c^{4} x^{4} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-840 \sqrt{c x +b}\, B b \,c^{3} x^{4} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-945 A \sqrt{b}\, c^{4} x^{4}+840 B \,b^{\frac{3}{2}} c^{3} x^{4}-315 A \,b^{\frac{3}{2}} c^{3} x^{3}+280 B \,b^{\frac{5}{2}} c^{2} x^{3}+126 A \,b^{\frac{5}{2}} c^{2} x^{2}-112 B \,b^{\frac{7}{2}} c \,x^{2}-72 A \,b^{\frac{7}{2}} c x +64 B \,b^{\frac{9}{2}} x +48 A \,b^{\frac{9}{2}}\right)}{192 \left(c x +b \right) b^{\frac{11}{2}} x^{\frac{9}{2}}}"," ",0,"-1/192/x^(9/2)*((c*x+b)*x)^(1/2)*(945*A*arctanh((c*x+b)^(1/2)/b^(1/2))*(c*x+b)^(1/2)*x^4*c^4+64*B*b^(9/2)*x-112*B*b^(7/2)*x^2*c+280*B*b^(5/2)*x^3*c^2+840*B*b^(3/2)*x^4*c^3-840*B*arctanh((c*x+b)^(1/2)/b^(1/2))*(c*x+b)^(1/2)*x^4*b*c^3+48*A*b^(9/2)-72*A*b^(7/2)*x*c+126*A*b^(5/2)*x^2*c^2-315*A*b^(3/2)*x^3*c^3-945*A*b^(1/2)*x^4*c^4)/(c*x+b)/b^(11/2)","A"
242,1,107,150,0.049000," ","int(x^(11/2)*(B*x+A)/(c*x^2+b*x)^(5/2),x)","-\frac{2 \left(c x +b \right) \left(-3 B \,x^{4} c^{4}-5 A \,c^{4} x^{3}+8 B b \,c^{3} x^{3}+30 A b \,c^{3} x^{2}-48 B \,b^{2} c^{2} x^{2}+120 A \,b^{2} c^{2} x -192 B \,b^{3} c x +80 A \,b^{3} c -128 b^{4} B \right) x^{\frac{5}{2}}}{15 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} c^{5}}"," ",0,"-2/15*(c*x+b)*(-3*B*c^4*x^4-5*A*c^4*x^3+8*B*b*c^3*x^3+30*A*b*c^3*x^2-48*B*b^2*c^2*x^2+120*A*b^2*c^2*x-192*B*b^3*c*x+80*A*b^3*c-128*B*b^4)*x^(5/2)/c^5/(c*x^2+b*x)^(5/2)","A"
243,1,82,119,0.047000," ","int(x^(9/2)*(B*x+A)/(c*x^2+b*x)^(5/2),x)","\frac{2 \left(c x +b \right) \left(B \,c^{3} x^{3}+3 A \,c^{3} x^{2}-6 B b \,c^{2} x^{2}+12 A b \,c^{2} x -24 B \,b^{2} c x +8 A \,b^{2} c -16 b^{3} B \right) x^{\frac{5}{2}}}{3 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} c^{4}}"," ",0,"2/3*(c*x+b)*(B*c^3*x^3+3*A*c^3*x^2-6*B*b*c^2*x^2+12*A*b*c^2*x-24*B*b^2*c*x+8*A*b^2*c-16*B*b^3)*x^(5/2)/c^4/(c*x^2+b*x)^(5/2)","A"
244,1,59,90,0.045000," ","int(x^(7/2)*(B*x+A)/(c*x^2+b*x)^(5/2),x)","-\frac{2 \left(c x +b \right) \left(-3 B \,c^{2} x^{2}+3 A \,c^{2} x -12 B b c x +2 A b c -8 b^{2} B \right) x^{\frac{5}{2}}}{3 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} c^{3}}"," ",0,"-2/3*(c*x+b)*(-3*B*c^2*x^2+3*A*c^2*x-12*B*b*c*x+2*A*b*c-8*B*b^2)*x^(5/2)/c^3/(c*x^2+b*x)^(5/2)","A"
245,1,38,61,0.046000," ","int(x^(5/2)*(B*x+A)/(c*x^2+b*x)^(5/2),x)","-\frac{2 \left(c x +b \right) \left(3 B c x +A c +2 b B \right) x^{\frac{5}{2}}}{3 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} c^{2}}"," ",0,"-2/3*(c*x+b)*(3*B*c*x+A*c+2*B*b)*x^(5/2)/c^2/(c*x^2+b*x)^(5/2)","A"
246,1,101,76,0.070000," ","int(x^(3/2)*(B*x+A)/(c*x^2+b*x)^(5/2),x)","-\frac{2 \sqrt{\left(c x +b \right) x}\, \left(3 \sqrt{c x +b}\, A \,c^{2} x \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-3 A \sqrt{b}\, c^{2} x +3 \sqrt{c x +b}\, A b c \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-4 A \,b^{\frac{3}{2}} c +B \,b^{\frac{5}{2}}\right)}{3 \left(c x +b \right)^{2} b^{\frac{5}{2}} c \sqrt{x}}"," ",0,"-2/3*((c*x+b)*x)^(1/2)/b^(5/2)*(3*A*arctanh((c*x+b)^(1/2)/b^(1/2))*x*c^2*(c*x+b)^(1/2)+3*A*c*arctanh((c*x+b)^(1/2)/b^(1/2))*b*(c*x+b)^(1/2)-3*A*b^(1/2)*x*c^2-4*A*b^(3/2)*c+B*b^(5/2))/x^(1/2)/(c*x+b)^2/c","A"
247,1,175,122,0.075000," ","int((B*x+A)*x^(1/2)/(c*x^2+b*x)^(5/2),x)","\frac{\sqrt{\left(c x +b \right) x}\, \left(15 \sqrt{c x +b}\, A \,c^{2} x^{2} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-6 \sqrt{c x +b}\, B b c \,x^{2} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-15 A \sqrt{b}\, c^{2} x^{2}+6 B \,b^{\frac{3}{2}} c \,x^{2}+15 \sqrt{c x +b}\, A b c x \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-6 \sqrt{c x +b}\, B \,b^{2} x \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-20 A \,b^{\frac{3}{2}} c x +8 B \,b^{\frac{5}{2}} x -3 A \,b^{\frac{5}{2}}\right)}{3 \left(c x +b \right)^{2} b^{\frac{7}{2}} x^{\frac{3}{2}}}"," ",0,"1/3*((c*x+b)*x)^(1/2)*(15*A*(c*x+b)^(1/2)*arctanh((c*x+b)^(1/2)/b^(1/2))*x^2*c^2-6*B*(c*x+b)^(1/2)*arctanh((c*x+b)^(1/2)/b^(1/2))*x^2*b*c+15*A*arctanh((c*x+b)^(1/2)/b^(1/2))*x*b*c*(c*x+b)^(1/2)-15*A*b^(1/2)*c^2*x^2-6*B*arctanh((c*x+b)^(1/2)/b^(1/2))*x*b^2*(c*x+b)^(1/2)+6*B*b^(3/2)*c*x^2-20*A*b^(3/2)*c*x+8*B*b^(5/2)*x-3*A*b^(5/2))/x^(3/2)/(c*x+b)^2/b^(7/2)","A"
248,1,208,140,0.076000," ","int((B*x+A)/(c*x^2+b*x)^(5/2)/x^(1/2),x)","-\frac{\sqrt{\left(c x +b \right) x}\, \left(105 \sqrt{c x +b}\, A \,c^{3} x^{3} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-60 \sqrt{c x +b}\, B b \,c^{2} x^{3} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-105 A \sqrt{b}\, c^{3} x^{3}+60 B \,b^{\frac{3}{2}} c^{2} x^{3}+105 \sqrt{c x +b}\, A b \,c^{2} x^{2} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-60 \sqrt{c x +b}\, B \,b^{2} c \,x^{2} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-140 A \,b^{\frac{3}{2}} c^{2} x^{2}+80 B \,b^{\frac{5}{2}} c \,x^{2}-21 A \,b^{\frac{5}{2}} c x +12 B \,b^{\frac{7}{2}} x +6 A \,b^{\frac{7}{2}}\right)}{12 \left(c x +b \right)^{2} b^{\frac{9}{2}} x^{\frac{5}{2}}}"," ",0,"-1/12*((c*x+b)*x)^(1/2)*(105*A*(c*x+b)^(1/2)*arctanh((c*x+b)^(1/2)/b^(1/2))*x^3*c^3-60*B*(c*x+b)^(1/2)*arctanh((c*x+b)^(1/2)/b^(1/2))*x^3*b*c^2+105*A*arctanh((c*x+b)^(1/2)/b^(1/2))*x^2*b*c^2*(c*x+b)^(1/2)-105*A*b^(1/2)*c^3*x^3-60*B*arctanh((c*x+b)^(1/2)/b^(1/2))*x^2*b^2*c*(c*x+b)^(1/2)+60*B*b^(3/2)*c^2*x^3-140*A*b^(3/2)*c^2*x^2+80*B*b^(5/2)*c*x^2-21*A*b^(5/2)*c*x+12*B*b^(7/2)*x+6*A*b^(7/2))/x^(5/2)/(c*x+b)^2/b^(9/2)","A"
249,1,234,174,0.074000," ","int((B*x+A)/x^(3/2)/(c*x^2+b*x)^(5/2),x)","\frac{\sqrt{\left(c x +b \right) x}\, \left(315 \sqrt{c x +b}\, A \,c^{4} x^{4} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-210 \sqrt{c x +b}\, B b \,c^{3} x^{4} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-315 A \sqrt{b}\, c^{4} x^{4}+210 B \,b^{\frac{3}{2}} c^{3} x^{4}+315 \sqrt{c x +b}\, A b \,c^{3} x^{3} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-210 \sqrt{c x +b}\, B \,b^{2} c^{2} x^{3} \arctanh \left(\frac{\sqrt{c x +b}}{\sqrt{b}}\right)-420 A \,b^{\frac{3}{2}} c^{3} x^{3}+280 B \,b^{\frac{5}{2}} c^{2} x^{3}-63 A \,b^{\frac{5}{2}} c^{2} x^{2}+42 B \,b^{\frac{7}{2}} c \,x^{2}+18 A \,b^{\frac{7}{2}} c x -12 B \,b^{\frac{9}{2}} x -8 A \,b^{\frac{9}{2}}\right)}{24 \left(c x +b \right)^{2} b^{\frac{11}{2}} x^{\frac{7}{2}}}"," ",0,"1/24*((c*x+b)*x)^(1/2)*(315*A*arctanh((c*x+b)^(1/2)/b^(1/2))*(c*x+b)^(1/2)*x^4*c^4-210*B*arctanh((c*x+b)^(1/2)/b^(1/2))*(c*x+b)^(1/2)*x^4*b*c^3+315*A*arctanh((c*x+b)^(1/2)/b^(1/2))*x^3*b*c^3*(c*x+b)^(1/2)-315*A*b^(1/2)*c^4*x^4-210*B*arctanh((c*x+b)^(1/2)/b^(1/2))*x^3*b^2*c^2*(c*x+b)^(1/2)+210*B*b^(3/2)*c^3*x^4-420*A*b^(3/2)*c^3*x^3+280*B*b^(5/2)*c^2*x^3-63*A*b^(5/2)*c^2*x^2+42*B*b^(7/2)*c*x^2+18*A*b^(7/2)*c*x-12*B*b^(9/2)*x-8*A*b^(9/2))/x^(7/2)/(c*x+b)^2/b^(11/2)","A"
250,1,28,24,0.044000," ","int(x^(p+1)*(3*c*x+2*b)*(c*x^2+b*x)^p,x)","\frac{\left(c x +b \right) x^{p +2} \left(c \,x^{2}+b x \right)^{p}}{p +1}"," ",0,"(c*x+b)*x^(p+2)/(p+1)*(c*x^2+b*x)^p","A"
251,1,30,29,0.056000," ","int(x^3*(B*x+A)*(c*x^2+a),x)","\frac{1}{7} B c \,x^{7}+\frac{1}{6} A c \,x^{6}+\frac{1}{5} B a \,x^{5}+\frac{1}{4} A a \,x^{4}"," ",0,"1/4*A*a*x^4+1/5*B*a*x^5+1/6*A*c*x^6+1/7*B*c*x^7","A"
252,1,30,29,0.048000," ","int(x^2*(B*x+A)*(c*x^2+a),x)","\frac{1}{6} B c \,x^{6}+\frac{1}{5} A c \,x^{5}+\frac{1}{4} B a \,x^{4}+\frac{1}{3} A a \,x^{3}"," ",0,"1/3*A*a*x^3+1/4*B*a*x^4+1/5*A*c*x^5+1/6*B*c*x^6","A"
253,1,30,29,0.042000," ","int(x*(B*x+A)*(c*x^2+a),x)","\frac{1}{5} B c \,x^{5}+\frac{1}{4} A c \,x^{4}+\frac{1}{3} B a \,x^{3}+\frac{1}{2} A a \,x^{2}"," ",0,"1/2*A*a*x^2+1/3*B*a*x^3+1/4*A*c*x^4+1/5*B*c*x^5","A"
254,1,27,27,0.050000," ","int((B*x+A)*(c*x^2+a),x)","\frac{1}{4} B c \,x^{4}+\frac{1}{3} A c \,x^{3}+\frac{1}{2} B a \,x^{2}+A a x"," ",0,"1/4*B*c*x^4+1/3*A*c*x^3+1/2*B*a*x^2+A*a*x","A"
255,1,25,24,0.045000," ","int((B*x+A)*(c*x^2+a)/x,x)","\frac{B c \,x^{3}}{3}+\frac{A c \,x^{2}}{2}+A a \ln \left(x \right)+B a x"," ",0,"B*a*x+1/2*A*c*x^2+1/3*B*c*x^3+A*a*ln(x)","A"
256,1,25,24,0.049000," ","int((B*x+A)*(c*x^2+a)/x^2,x)","\frac{B c \,x^{2}}{2}+A c x +B a \ln \left(x \right)-\frac{A a}{x}"," ",0,"-A*a/x+A*c*x+1/2*B*c*x^2+B*a*ln(x)","A"
257,1,25,24,0.054000," ","int((B*x+A)*(c*x^2+a)/x^3,x)","A c \ln \left(x \right)+B c x -\frac{B a}{x}-\frac{A a}{2 x^{2}}"," ",0,"-1/2*A*a/x^2-B*a/x+B*c*x+A*c*ln(x)","A"
258,1,54,53,0.042000," ","int(x^3*(B*x+A)*(c*x^2+a)^2,x)","\frac{1}{9} B \,c^{2} x^{9}+\frac{1}{8} A \,c^{2} x^{8}+\frac{2}{7} B a c \,x^{7}+\frac{1}{3} A a c \,x^{6}+\frac{1}{5} B \,a^{2} x^{5}+\frac{1}{4} A \,a^{2} x^{4}"," ",0,"1/4*A*a^2*x^4+1/5*B*a^2*x^5+1/3*a*A*c*x^6+2/7*a*B*c*x^7+1/8*A*c^2*x^8+1/9*B*c^2*x^9","A"
259,1,54,53,0.042000," ","int(x^2*(B*x+A)*(c*x^2+a)^2,x)","\frac{1}{8} B \,c^{2} x^{8}+\frac{1}{7} A \,c^{2} x^{7}+\frac{1}{3} B a c \,x^{6}+\frac{2}{5} A a c \,x^{5}+\frac{1}{4} B \,a^{2} x^{4}+\frac{1}{3} A \,a^{2} x^{3}"," ",0,"1/3*A*a^2*x^3+1/4*B*a^2*x^4+2/5*a*A*c*x^5+1/3*a*B*c*x^6+1/7*A*c^2*x^7+1/8*B*c^2*x^8","A"
260,1,54,53,0.045000," ","int(x*(B*x+A)*(c*x^2+a)^2,x)","\frac{1}{7} B \,c^{2} x^{7}+\frac{1}{6} A \,c^{2} x^{6}+\frac{2}{5} B a c \,x^{5}+\frac{1}{2} A a c \,x^{4}+\frac{1}{3} B \,a^{2} x^{3}+\frac{1}{2} A \,a^{2} x^{2}"," ",0,"1/2*A*a^2*x^2+1/3*B*a^2*x^3+1/2*a*A*c*x^4+2/5*a*B*c*x^5+1/6*A*c^2*x^6+1/7*B*c^2*x^7","A"
261,1,51,39,0.043000," ","int((B*x+A)*(c*x^2+a)^2,x)","\frac{1}{6} B \,c^{2} x^{6}+\frac{1}{5} A \,c^{2} x^{5}+\frac{1}{2} B a c \,x^{4}+\frac{2}{3} A a c \,x^{3}+\frac{1}{2} B \,a^{2} x^{2}+A \,a^{2} x"," ",0,"1/6*B*c^2*x^6+1/5*A*c^2*x^5+1/2*a*B*c*x^4+2/3*a*A*c*x^3+1/2*B*a^2*x^2+A*a^2*x","A"
262,1,48,47,0.049000," ","int((B*x+A)*(c*x^2+a)^2/x,x)","\frac{B \,c^{2} x^{5}}{5}+\frac{A \,c^{2} x^{4}}{4}+\frac{2 B a c \,x^{3}}{3}+A a c \,x^{2}+A \,a^{2} \ln \left(x \right)+B \,a^{2} x"," ",0,"B*a^2*x+a*A*c*x^2+2/3*a*B*c*x^3+1/4*A*c^2*x^4+1/5*B*c^2*x^5+A*a^2*ln(x)","A"
263,1,49,48,0.061000," ","int((B*x+A)*(c*x^2+a)^2/x^2,x)","\frac{B \,c^{2} x^{4}}{4}+\frac{A \,c^{2} x^{3}}{3}+B a c \,x^{2}+2 A a c x +B \,a^{2} \ln \left(x \right)-\frac{A \,a^{2}}{x}"," ",0,"-A*a^2/x+2*a*A*c*x+a*B*c*x^2+1/3*A*c^2*x^3+1/4*B*c^2*x^4+B*a^2*ln(x)","A"
264,1,51,50,0.056000," ","int((B*x+A)*(c*x^2+a)^2/x^3,x)","\frac{B \,c^{2} x^{3}}{3}+\frac{A \,c^{2} x^{2}}{2}+2 A a c \ln \left(x \right)+2 B a c x -\frac{B \,a^{2}}{x}-\frac{A \,a^{2}}{2 x^{2}}"," ",0,"-1/2*A*a^2/x^2-B*a^2/x+2*a*B*c*x+1/2*A*c^2*x^2+1/3*B*c^2*x^3+2*a*A*c*ln(x)","A"
265,1,78,77,0.040000," ","int(x^3*(B*x+A)*(c*x^2+a)^3,x)","\frac{1}{11} B \,c^{3} x^{11}+\frac{1}{10} A \,c^{3} x^{10}+\frac{1}{3} B a \,c^{2} x^{9}+\frac{3}{8} A a \,c^{2} x^{8}+\frac{3}{7} B \,a^{2} c \,x^{7}+\frac{1}{2} A \,a^{2} c \,x^{6}+\frac{1}{5} B \,a^{3} x^{5}+\frac{1}{4} A \,a^{3} x^{4}"," ",0,"1/4*A*a^3*x^4+1/5*B*a^3*x^5+1/2*a^2*A*c*x^6+3/7*a^2*B*c*x^7+3/8*a*A*c^2*x^8+1/3*a*B*c^2*x^9+1/10*A*c^3*x^10+1/11*B*c^3*x^11","A"
266,1,78,77,0.043000," ","int(x^2*(B*x+A)*(c*x^2+a)^3,x)","\frac{1}{10} B \,c^{3} x^{10}+\frac{1}{9} A \,c^{3} x^{9}+\frac{3}{8} B a \,c^{2} x^{8}+\frac{3}{7} A a \,c^{2} x^{7}+\frac{1}{2} B \,a^{2} c \,x^{6}+\frac{3}{5} A \,a^{2} c \,x^{5}+\frac{1}{4} B \,a^{3} x^{4}+\frac{1}{3} A \,a^{3} x^{3}"," ",0,"1/3*A*a^3*x^3+1/4*B*a^3*x^4+3/5*a^2*A*c*x^5+1/2*a^2*B*c*x^6+3/7*a*A*c^2*x^7+3/8*a*B*c^2*x^8+1/9*A*c^3*x^9+1/10*B*c^3*x^10","A"
267,1,78,77,0.053000," ","int(x*(B*x+A)*(c*x^2+a)^3,x)","\frac{1}{9} B \,c^{3} x^{9}+\frac{1}{8} A \,c^{3} x^{8}+\frac{3}{7} B a \,c^{2} x^{7}+\frac{1}{2} A a \,c^{2} x^{6}+\frac{3}{5} B \,a^{2} c \,x^{5}+\frac{3}{4} A \,a^{2} c \,x^{4}+\frac{1}{3} B \,a^{3} x^{3}+\frac{1}{2} A \,a^{3} x^{2}"," ",0,"1/2*a^3*A*x^2+1/3*B*a^3*x^3+3/4*a^2*A*c*x^4+3/5*a^2*B*c*x^5+1/2*a*A*c^2*x^6+3/7*a*B*c^2*x^7+1/8*A*c^3*x^8+1/9*B*c^3*x^9","A"
268,1,74,50,0.040000," ","int((B*x+A)*(c*x^2+a)^3,x)","\frac{1}{8} B \,c^{3} x^{8}+\frac{1}{7} A \,c^{3} x^{7}+\frac{1}{2} B a \,c^{2} x^{6}+\frac{3}{5} A a \,c^{2} x^{5}+\frac{3}{4} B \,a^{2} c \,x^{4}+A \,a^{2} c \,x^{3}+\frac{1}{2} B \,a^{3} x^{2}+A \,a^{3} x"," ",0,"1/8*B*c^3*x^8+1/7*A*c^3*x^7+1/2*a*B*c^2*x^6+3/5*a*A*c^2*x^5+3/4*a^2*B*c*x^4+a^2*A*c*x^3+1/2*B*a^3*x^2+A*a^3*x","A"
269,1,72,71,0.046000," ","int((B*x+A)*(c*x^2+a)^3/x,x)","\frac{B \,c^{3} x^{7}}{7}+\frac{A \,c^{3} x^{6}}{6}+\frac{3 B a \,c^{2} x^{5}}{5}+\frac{3 A a \,c^{2} x^{4}}{4}+B \,a^{2} c \,x^{3}+\frac{3 A \,a^{2} c \,x^{2}}{2}+A \,a^{3} \ln \left(x \right)+B \,a^{3} x"," ",0,"B*a^3*x+3/2*a^2*A*c*x^2+a^2*B*c*x^3+3/4*a*A*c^2*x^4+3/5*a*B*c^2*x^5+1/6*A*c^3*x^6+1/7*B*c^3*x^7+A*a^3*ln(x)","A"
270,1,73,72,0.053000," ","int((B*x+A)*(c*x^2+a)^3/x^2,x)","\frac{B \,c^{3} x^{6}}{6}+\frac{A \,c^{3} x^{5}}{5}+\frac{3 B a \,c^{2} x^{4}}{4}+A a \,c^{2} x^{3}+\frac{3 B \,a^{2} c \,x^{2}}{2}+3 A \,a^{2} c x +B \,a^{3} \ln \left(x \right)-\frac{A \,a^{3}}{x}"," ",0,"-A*a^3/x+3*a^2*A*c*x+3/2*a^2*B*c*x^2+a*A*c^2*x^3+3/4*a*B*c^2*x^4+1/5*A*c^3*x^5+1/6*B*c^3*x^6+B*a^3*ln(x)","A"
271,1,74,73,0.050000," ","int((B*x+A)*(c*x^2+a)^3/x^3,x)","\frac{B \,c^{3} x^{5}}{5}+\frac{A \,c^{3} x^{4}}{4}+B a \,c^{2} x^{3}+\frac{3 A a \,c^{2} x^{2}}{2}+3 A \,a^{2} c \ln \left(x \right)+3 B \,a^{2} c x -\frac{B \,a^{3}}{x}-\frac{A \,a^{3}}{2 x^{2}}"," ",0,"-1/2*A*a^3/x^2-B*a^3/x+3*a^2*B*c*x+3/2*a*A*c^2*x^2+a*B*c^2*x^3+1/4*A*c^3*x^4+1/5*B*c^3*x^5+3*a^2*A*c*ln(x)","A"
272,1,102,101,0.041000," ","int(x^3*(B*x+A)*(c*x^2+a)^4,x)","\frac{1}{13} B \,c^{4} x^{13}+\frac{1}{12} A \,c^{4} x^{12}+\frac{4}{11} B a \,c^{3} x^{11}+\frac{2}{5} A a \,c^{3} x^{10}+\frac{2}{3} B \,a^{2} c^{2} x^{9}+\frac{3}{4} A \,a^{2} c^{2} x^{8}+\frac{4}{7} B \,a^{3} c \,x^{7}+\frac{2}{3} A \,a^{3} c \,x^{6}+\frac{1}{5} B \,a^{4} x^{5}+\frac{1}{4} A \,a^{4} x^{4}"," ",0,"1/4*a^4*A*x^4+1/5*a^4*B*x^5+2/3*a^3*A*c*x^6+4/7*a^3*B*c*x^7+3/4*a^2*A*c^2*x^8+2/3*a^2*B*c^2*x^9+2/5*a*A*c^3*x^10+4/11*a*B*c^3*x^11+1/12*A*c^4*x^12+1/13*B*c^4*x^13","A"
273,1,102,101,0.046000," ","int(x^2*(B*x+A)*(c*x^2+a)^4,x)","\frac{1}{12} B \,c^{4} x^{12}+\frac{1}{11} A \,c^{4} x^{11}+\frac{2}{5} B a \,c^{3} x^{10}+\frac{4}{9} A a \,c^{3} x^{9}+\frac{3}{4} B \,a^{2} c^{2} x^{8}+\frac{6}{7} A \,a^{2} c^{2} x^{7}+\frac{2}{3} B \,a^{3} c \,x^{6}+\frac{4}{5} A \,a^{3} c \,x^{5}+\frac{1}{4} B \,a^{4} x^{4}+\frac{1}{3} A \,a^{4} x^{3}"," ",0,"1/3*a^4*A*x^3+1/4*a^4*B*x^4+4/5*a^3*A*c*x^5+2/3*a^3*B*c*x^6+6/7*a^2*A*c^2*x^7+3/4*a^2*B*c^2*x^8+4/9*a*A*c^3*x^9+2/5*a*B*c^3*x^10+1/11*A*c^4*x^11+1/12*B*c^4*x^12","A"
274,1,100,99,0.050000," ","int(x*(B*x+A)*(c*x^2+a)^4,x)","\frac{1}{11} B \,c^{4} x^{11}+\frac{1}{10} A \,c^{4} x^{10}+\frac{4}{9} B a \,c^{3} x^{9}+\frac{1}{2} A a \,c^{3} x^{8}+\frac{6}{7} B \,a^{2} c^{2} x^{7}+A \,a^{2} c^{2} x^{6}+\frac{4}{5} B \,a^{3} c \,x^{5}+A \,a^{3} c \,x^{4}+\frac{1}{3} B \,a^{4} x^{3}+\frac{1}{2} A \,a^{4} x^{2}"," ",0,"1/2*a^4*A*x^2+1/3*a^4*B*x^3+a^3*A*c*x^4+4/5*a^3*B*c*x^5+a^2*A*c^2*x^6+6/7*a^2*B*c^2*x^7+1/2*a*A*c^3*x^8+4/9*a*B*c^3*x^9+1/10*A*c^4*x^10+1/11*B*c^4*x^11","A"
275,1,97,63,0.045000," ","int((B*x+A)*(c*x^2+a)^4,x)","\frac{1}{10} B \,c^{4} x^{10}+\frac{1}{9} A \,c^{4} x^{9}+\frac{1}{2} B a \,c^{3} x^{8}+\frac{4}{7} A a \,c^{3} x^{7}+B \,a^{2} c^{2} x^{6}+\frac{6}{5} A \,a^{2} c^{2} x^{5}+B \,a^{3} c \,x^{4}+\frac{4}{3} A \,a^{3} c \,x^{3}+\frac{1}{2} B \,a^{4} x^{2}+A \,a^{4} x"," ",0,"1/10*B*c^4*x^10+1/9*A*c^4*x^9+1/2*a*B*c^3*x^8+4/7*a*A*c^3*x^7+a^2*B*c^2*x^6+6/5*a^2*A*c^2*x^5+a^3*B*c*x^4+4/3*a^3*A*c*x^3+1/2*a^4*B*x^2+a^4*A*x","A"
276,1,97,96,0.043000," ","int((B*x+A)*(c*x^2+a)^4/x,x)","\frac{B \,c^{4} x^{9}}{9}+\frac{A \,c^{4} x^{8}}{8}+\frac{4 B a \,c^{3} x^{7}}{7}+\frac{2 A a \,c^{3} x^{6}}{3}+\frac{6 B \,a^{2} c^{2} x^{5}}{5}+\frac{3 A \,a^{2} c^{2} x^{4}}{2}+\frac{4 B \,a^{3} c \,x^{3}}{3}+2 A \,a^{3} c \,x^{2}+A \,a^{4} \ln \left(x \right)+B \,a^{4} x"," ",0,"a^4*B*x+2*a^3*A*c*x^2+4/3*a^3*B*c*x^3+3/2*a^2*A*c^2*x^4+6/5*a^2*B*c^2*x^5+2/3*a*A*c^3*x^6+4/7*a*B*c^3*x^7+1/8*A*c^4*x^8+1/9*B*c^4*x^9+a^4*A*ln(x)","A"
277,1,98,97,0.051000," ","int((B*x+A)*(c*x^2+a)^4/x^2,x)","\frac{B \,c^{4} x^{8}}{8}+\frac{A \,c^{4} x^{7}}{7}+\frac{2 B a \,c^{3} x^{6}}{3}+\frac{4 A a \,c^{3} x^{5}}{5}+\frac{3 B \,a^{2} c^{2} x^{4}}{2}+2 A \,a^{2} c^{2} x^{3}+2 B \,a^{3} c \,x^{2}+4 A \,a^{3} c x +B \,a^{4} \ln \left(x \right)-\frac{A \,a^{4}}{x}"," ",0,"-a^4*A/x+4*a^3*A*c*x+2*a^3*B*c*x^2+2*a^2*A*c^2*x^3+3/2*a^2*B*c^2*x^4+4/5*a*A*c^3*x^5+2/3*a*B*c^3*x^6+1/7*A*c^4*x^7+1/8*B*c^4*x^8+a^4*B*ln(x)","A"
278,1,98,97,0.054000," ","int((B*x+A)*(c*x^2+a)^4/x^3,x)","\frac{B \,c^{4} x^{7}}{7}+\frac{A \,c^{4} x^{6}}{6}+\frac{4 B a \,c^{3} x^{5}}{5}+A a \,c^{3} x^{4}+2 B \,a^{2} c^{2} x^{3}+3 A \,a^{2} c^{2} x^{2}+4 A \,a^{3} c \ln \left(x \right)+4 B \,a^{3} c x -\frac{B \,a^{4}}{x}-\frac{A \,a^{4}}{2 x^{2}}"," ",0,"-1/2*a^4*A/x^2-a^4*B/x+4*a^3*B*c*x+3*a^2*A*c^2*x^2+2*a^2*B*c^2*x^3+a*A*c^3*x^4+4/5*a*B*c^3*x^5+1/6*A*c^4*x^6+1/7*B*c^4*x^7+4*a^3*A*c*ln(x)","A"
279,1,77,71,0.048000," ","int(x^4*(e*x+d)/(c*x^2+a),x)","\frac{e \,x^{4}}{4 c}+\frac{d \,x^{3}}{3 c}+\frac{a^{2} d \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c^{2}}-\frac{a e \,x^{2}}{2 c^{2}}+\frac{a^{2} e \ln \left(c \,x^{2}+a \right)}{2 c^{3}}-\frac{a d x}{c^{2}}"," ",0,"1/4/c*e*x^4+1/3/c*d*x^3-1/2*a*e*x^2/c^2-a*d*x/c^2+1/2*a^2*e*ln(c*x^2+a)/c^3+a^2/c^2*d/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)","A"
280,1,65,59,0.052000," ","int(x^3*(e*x+d)/(c*x^2+a),x)","\frac{e \,x^{3}}{3 c}+\frac{a^{2} e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c^{2}}+\frac{d \,x^{2}}{2 c}-\frac{a d \ln \left(c \,x^{2}+a \right)}{2 c^{2}}-\frac{a e x}{c^{2}}"," ",0,"1/3/c*e*x^3+1/2/c*d*x^2-a*e*x/c^2-1/2*a*d*ln(c*x^2+a)/c^2+a^2/c^2*e/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)","A"
281,1,53,49,0.048000," ","int(x^2*(e*x+d)/(c*x^2+a),x)","-\frac{a d \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c}+\frac{e \,x^{2}}{2 c}-\frac{a e \ln \left(c \,x^{2}+a \right)}{2 c^{2}}+\frac{d x}{c}"," ",0,"1/2/c*e*x^2+1/c*d*x-1/2*a*e*ln(c*x^2+a)/c^2-a/c*d/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)","A"
282,1,43,39,0.044000," ","int(x*(e*x+d)/(c*x^2+a),x)","-\frac{a e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c}+\frac{d \ln \left(c \,x^{2}+a \right)}{2 c}+\frac{e x}{c}"," ",0,"1/c*e*x+1/2*d*ln(c*x^2+a)/c-1/c*a*e/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)","A"
283,1,32,32,0.044000," ","int((e*x+d)/(c*x^2+a),x)","\frac{d \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}}+\frac{e \ln \left(c \,x^{2}+a \right)}{2 c}"," ",0,"1/2/c*e*ln(c*x^2+a)+d/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)","A"
284,1,39,39,0.059000," ","int((e*x+d)/x/(c*x^2+a),x)","\frac{e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}}+\frac{d \ln \left(x \right)}{a}-\frac{d \ln \left(c \,x^{2}+a \right)}{2 a}"," ",0,"-1/2*d*ln(c*x^2+a)/a+e/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)+1/a*d*ln(x)","A"
285,1,53,49,0.055000," ","int((e*x+d)/x^2/(c*x^2+a),x)","-\frac{c d \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, a}+\frac{e \ln \left(x \right)}{a}-\frac{e \ln \left(c \,x^{2}+a \right)}{2 a}-\frac{d}{a x}"," ",0,"-1/2*e*ln(c*x^2+a)/a-c/a*d/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)+1/a*e*ln(x)-1/a*d/x","A"
286,1,65,61,0.053000," ","int((e*x+d)/x^3/(c*x^2+a),x)","-\frac{c e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, a}-\frac{c d \ln \left(x \right)}{a^{2}}+\frac{c d \ln \left(c \,x^{2}+a \right)}{2 a^{2}}-\frac{e}{a x}-\frac{d}{2 a \,x^{2}}"," ",0,"1/2*c*d*ln(c*x^2+a)/a^2-c/a*e/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)-1/a*e/x-1/2/a*d/x^2-c*d*ln(x)/a^2","A"
287,1,75,69,0.060000," ","int((e*x+d)/x^4/(c*x^2+a),x)","\frac{c^{2} d \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, a^{2}}-\frac{c e \ln \left(x \right)}{a^{2}}+\frac{c e \ln \left(c \,x^{2}+a \right)}{2 a^{2}}+\frac{c d}{a^{2} x}-\frac{e}{2 a \,x^{2}}-\frac{d}{3 a \,x^{3}}"," ",0,"1/2*c*e*ln(c*x^2+a)/a^2+c^2/a^2*d/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)-1/2*e/a/x^2-1/3*d/a/x^3-c*e*ln(x)/a^2+c*d/a^2/x","A"
288,1,34,33,0.045000," ","int((e*x+d)/(-c*x^2+a),x)","\frac{d \arctanh \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}}-\frac{e \ln \left(c \,x^{2}-a \right)}{2 c}"," ",0,"-1/2*e/c*ln(c*x^2-a)+d/(a*c)^(1/2)*arctanh(1/(a*c)^(1/2)*c*x)","A"
289,1,88,71,0.054000," ","int(x^4*(e*x+d)/(c*x^2+a)^2,x)","\frac{a d x}{2 \left(c \,x^{2}+a \right) c^{2}}-\frac{3 a d \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c^{2}}+\frac{e \,x^{2}}{2 c^{2}}-\frac{a^{2} e}{2 \left(c \,x^{2}+a \right) c^{3}}-\frac{a e \ln \left(c \,x^{2}+a \right)}{c^{3}}+\frac{d x}{c^{2}}"," ",0,"1/2/c^2*e*x^2+1/c^2*d*x+1/2*a/c^2/(c*x^2+a)*d*x-1/2*a^2/c^3/(c*x^2+a)*e-a*e*ln(c*x^2+a)/c^3-3/2*a/c^2*d/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)","A"
290,1,76,62,0.053000," ","int(x^3*(e*x+d)/(c*x^2+a)^2,x)","\frac{a e x}{2 \left(c \,x^{2}+a \right) c^{2}}-\frac{3 a e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c^{2}}+\frac{a d}{2 \left(c \,x^{2}+a \right) c^{2}}+\frac{d \ln \left(c \,x^{2}+a \right)}{2 c^{2}}+\frac{e x}{c^{2}}"," ",0,"1/c^2*e*x+1/2/c^2/(c*x^2+a)*a*e*x+1/2/c^2/(c*x^2+a)*a*d+1/2*d*ln(c*x^2+a)/c^2-3/2/c^2*a*e/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)","A"
291,1,61,53,0.051000," ","int(x^2*(e*x+d)/(c*x^2+a)^2,x)","\frac{d \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c}+\frac{e \ln \left(c \,x^{2}+a \right)}{2 c^{2}}+\frac{-\frac{d x}{2 c}+\frac{a e}{2 c^{2}}}{c \,x^{2}+a}"," ",0,"(-1/2/c*d*x+1/2*a*e/c^2)/(c*x^2+a)+1/2*e*ln(c*x^2+a)/c^2+1/2/c*d/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)","A"
292,1,46,41,0.053000," ","int(x*(e*x+d)/(c*x^2+a)^2,x)","\frac{e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c}+\frac{-\frac{e x}{2 c}-\frac{d}{2 c}}{c \,x^{2}+a}"," ",0,"(-1/2/c*e*x-1/2/c*d)/(c*x^2+a)+1/2/c*e/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)","A"
293,1,49,45,0.059000," ","int((e*x+d)/(c*x^2+a)^2,x)","\frac{d \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, a}+\frac{2 c d x -2 a e}{4 \left(c \,x^{2}+a \right) a c}"," ",0,"1/4*(2*c*d*x-2*a*e)/a/c/(c*x^2+a)+1/2*d/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)","A"
294,1,74,59,0.054000," ","int((e*x+d)/x/(c*x^2+a)^2,x)","\frac{e x}{2 \left(c \,x^{2}+a \right) a}+\frac{e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, a}+\frac{d}{2 \left(c \,x^{2}+a \right) a}+\frac{d \ln \left(x \right)}{a^{2}}-\frac{d \ln \left(c \,x^{2}+a \right)}{2 a^{2}}"," ",0,"1/2/a/(c*x^2+a)*e*x+1/2/a/(c*x^2+a)*d-1/2*d*ln(c*x^2+a)/a^2+1/2/a*e/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)+1/a^2*d*ln(x)","A"
295,1,85,71,0.084000," ","int((e*x+d)/x^2/(c*x^2+a)^2,x)","-\frac{c d x}{2 \left(c \,x^{2}+a \right) a^{2}}-\frac{3 c d \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, a^{2}}+\frac{e}{2 \left(c \,x^{2}+a \right) a}+\frac{e \ln \left(x \right)}{a^{2}}-\frac{e \ln \left(c \,x^{2}+a \right)}{2 a^{2}}-\frac{d}{a^{2} x}"," ",0,"-1/2*c/a^2/(c*x^2+a)*d*x+1/2/a/(c*x^2+a)*e-1/2*e*ln(c*x^2+a)/a^2-3/2*c/a^2*d/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)+1/a^2*e*ln(x)-1/a^2*d/x","A"
296,1,97,82,0.065000," ","int((e*x+d)/x^3/(c*x^2+a)^2,x)","-\frac{c e x}{2 \left(c \,x^{2}+a \right) a^{2}}-\frac{3 c e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, a^{2}}-\frac{c d}{2 \left(c \,x^{2}+a \right) a^{2}}-\frac{2 c d \ln \left(x \right)}{a^{3}}+\frac{c d \ln \left(c \,x^{2}+a \right)}{a^{3}}-\frac{e}{a^{2} x}-\frac{d}{2 a^{2} x^{2}}"," ",0,"-1/2*c/a^2/(c*x^2+a)*e*x-1/2*c/a^2/(c*x^2+a)*d+c*d*ln(c*x^2+a)/a^3-3/2*c/a^2*e/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)-1/a^2*e/x-1/2/a^2*d/x^2-2*c*d*ln(x)/a^3","A"
297,1,106,85,0.052000," ","int(x^4*(e*x+d)/(-c^2*x^2+a^2),x)","-\frac{e \,x^{4}}{4 c^{2}}-\frac{d \,x^{3}}{3 c^{2}}-\frac{a^{2} e \,x^{2}}{2 c^{4}}-\frac{a^{4} e \ln \left(c x -a \right)}{2 c^{6}}-\frac{a^{4} e \ln \left(c x +a \right)}{2 c^{6}}-\frac{a^{3} d \ln \left(c x -a \right)}{2 c^{5}}+\frac{a^{3} d \ln \left(c x +a \right)}{2 c^{5}}-\frac{a^{2} d x}{c^{4}}"," ",0,"-1/4*e*x^4/c^2-1/3*d*x^3/c^2-1/2*a^2*e*x^2/c^4-a^2*d*x/c^4-1/2/c^6*a^4*ln(c*x+a)*e+1/2/c^5*a^3*ln(c*x+a)*d-1/2/c^6*a^4*ln(c*x-a)*e-1/2/c^5*a^3*ln(c*x-a)*d","A"
298,1,94,73,0.055000," ","int(x^3*(e*x+d)/(-c^2*x^2+a^2),x)","-\frac{e \,x^{3}}{3 c^{2}}-\frac{d \,x^{2}}{2 c^{2}}-\frac{a^{3} e \ln \left(c x -a \right)}{2 c^{5}}+\frac{a^{3} e \ln \left(c x +a \right)}{2 c^{5}}-\frac{a^{2} d \ln \left(c x -a \right)}{2 c^{4}}-\frac{a^{2} d \ln \left(c x +a \right)}{2 c^{4}}-\frac{a^{2} e x}{c^{4}}"," ",0,"-1/3/c^2*e*x^3-1/2/c^2*d*x^2-a^2*e*x/c^4+1/2/c^5*a^3*ln(c*x+a)*e-1/2/c^4*a^2*ln(c*x+a)*d-1/2/c^5*a^3*ln(c*x-a)*e-1/2/c^4*a^2*ln(c*x-a)*d","A"
299,1,78,57,0.064000," ","int(x^2*(e*x+d)/(-c^2*x^2+a^2),x)","-\frac{e \,x^{2}}{2 c^{2}}-\frac{a^{2} e \ln \left(c x -a \right)}{2 c^{4}}-\frac{a^{2} e \ln \left(c x +a \right)}{2 c^{4}}-\frac{a d \ln \left(c x -a \right)}{2 c^{3}}+\frac{a d \ln \left(c x +a \right)}{2 c^{3}}-\frac{d x}{c^{2}}"," ",0,"-1/2/c^2*e*x^2-1/c^2*d*x-1/2/c^4*a^2*ln(c*x+a)*e+1/2/c^3*a*ln(c*x+a)*d-1/2/c^4*a^2*ln(c*x-a)*e-1/2/c^3*a*ln(c*x-a)*d","A"
300,1,63,46,0.050000," ","int(x*(e*x+d)/(-c^2*x^2+a^2),x)","-\frac{a e \ln \left(c x -a \right)}{2 c^{3}}+\frac{a e \ln \left(c x +a \right)}{2 c^{3}}-\frac{d \ln \left(c x -a \right)}{2 c^{2}}-\frac{d \ln \left(c x +a \right)}{2 c^{2}}-\frac{e x}{c^{2}}"," ",0,"-1/c^2*e*x+1/2/c^3*ln(c*x+a)*a*e-1/2/c^2*ln(c*x+a)*d-1/2/c^3*ln(c*x-a)*a*e-1/2/c^2*ln(c*x-a)*d","A"
301,1,60,42,0.050000," ","int((e*x+d)/(-c^2*x^2+a^2),x)","-\frac{d \ln \left(c x -a \right)}{2 a c}+\frac{d \ln \left(c x +a \right)}{2 a c}-\frac{e \ln \left(c x -a \right)}{2 c^{2}}-\frac{e \ln \left(c x +a \right)}{2 c^{2}}"," ",0,"-1/2/c^2*ln(c*x+a)*e+1/2/a/c*ln(c*x+a)*d-1/2/c^2*ln(c*x-a)*e-1/2/a/c*ln(c*x-a)*d","A"
302,1,67,52,0.050000," ","int((e*x+d)/x/(-c^2*x^2+a^2),x)","-\frac{e \ln \left(c x -a \right)}{2 a c}+\frac{e \ln \left(c x +a \right)}{2 a c}+\frac{d \ln \left(x \right)}{a^{2}}-\frac{d \ln \left(c x -a \right)}{2 a^{2}}-\frac{d \ln \left(c x +a \right)}{2 a^{2}}"," ",0,"1/2/a/c*ln(c*x+a)*e-1/2/a^2*ln(c*x+a)*d-1/2/a/c*ln(c*x-a)*e-1/2/a^2*ln(c*x-a)*d+1/a^2*d*ln(x)","A"
303,1,72,55,0.056000," ","int((e*x+d)/x^2/(-c^2*x^2+a^2),x)","\frac{e \ln \left(x \right)}{a^{2}}-\frac{e \ln \left(c x -a \right)}{2 a^{2}}-\frac{e \ln \left(c x +a \right)}{2 a^{2}}-\frac{c d \ln \left(c x -a \right)}{2 a^{3}}+\frac{c d \ln \left(c x +a \right)}{2 a^{3}}-\frac{d}{a^{2} x}"," ",0,"-1/2/a^2*ln(c*x+a)*e+1/2/a^3*ln(c*x+a)*c*d-1/2/a^2*ln(c*x-a)*e-1/2/a^3*ln(c*x-a)*c*d+1/a^2*e*ln(x)-1/a^2*d/x","A"
304,1,90,69,0.056000," ","int((e*x+d)/x^3/(-c^2*x^2+a^2),x)","-\frac{c e \ln \left(c x -a \right)}{2 a^{3}}+\frac{c e \ln \left(c x +a \right)}{2 a^{3}}+\frac{c^{2} d \ln \left(x \right)}{a^{4}}-\frac{c^{2} d \ln \left(c x -a \right)}{2 a^{4}}-\frac{c^{2} d \ln \left(c x +a \right)}{2 a^{4}}-\frac{e}{a^{2} x}-\frac{d}{2 a^{2} x^{2}}"," ",0,"1/2*c/a^3*ln(c*x+a)*e-1/2*c^2/a^4*ln(c*x+a)*d-1/2*c/a^3*ln(c*x-a)*e-1/2*c^2/a^4*ln(c*x-a)*d-1/a^2*e/x-1/2/a^2*d/x^2+c^2*d*ln(x)/a^4","A"
305,1,106,85,0.056000," ","int((e*x+d)/x^4/(-c^2*x^2+a^2),x)","\frac{c^{2} e \ln \left(x \right)}{a^{4}}-\frac{c^{2} e \ln \left(c x -a \right)}{2 a^{4}}-\frac{c^{2} e \ln \left(c x +a \right)}{2 a^{4}}-\frac{c^{3} d \ln \left(c x -a \right)}{2 a^{5}}+\frac{c^{3} d \ln \left(c x +a \right)}{2 a^{5}}-\frac{c^{2} d}{a^{4} x}-\frac{e}{2 a^{2} x^{2}}-\frac{d}{3 a^{2} x^{3}}"," ",0,"-1/2*c^2/a^4*ln(c*x+a)*e+1/2*c^3/a^5*ln(c*x+a)*d-1/2*c^2/a^4*ln(c*x-a)*e-1/2*c^3/a^5*ln(c*x-a)*d-1/2*e/a^2/x^2-1/3*d/a^2/x^3+c^2*e*ln(x)/a^4-c^2*d/a^4/x","A"
306,1,143,86,0.064000," ","int(x^4*(e*x+d)/(-c^2*x^2+a^2)^2,x)","\frac{e \,x^{2}}{2 c^{4}}+\frac{a^{3} e}{4 \left(c x +a \right) c^{6}}-\frac{a^{3} e}{4 \left(c x -a \right) c^{6}}-\frac{a^{2} d}{4 \left(c x +a \right) c^{5}}-\frac{a^{2} d}{4 \left(c x -a \right) c^{5}}+\frac{a^{2} e \ln \left(c x -a \right)}{c^{6}}+\frac{a^{2} e \ln \left(c x +a \right)}{c^{6}}+\frac{3 a d \ln \left(c x -a \right)}{4 c^{5}}-\frac{3 a d \ln \left(c x +a \right)}{4 c^{5}}+\frac{d x}{c^{4}}"," ",0,"1/2*e*x^2/c^4+d*x/c^4+1/c^6*a^2*ln(c*x+a)*e-3/4/c^5*a*ln(c*x+a)*d+1/4/c^6*a^3/(c*x+a)*e-1/4/c^5*a^2/(c*x+a)*d+1/c^6*a^2*ln(c*x-a)*e+3/4/c^5*a*ln(c*x-a)*d-1/4/c^6*a^3/(c*x-a)*e-1/4/c^5*a^2/(c*x-a)*d","A"
307,1,126,76,0.060000," ","int(x^3*(e*x+d)/(-c^2*x^2+a^2)^2,x)","-\frac{a^{2} e}{4 \left(c x +a \right) c^{5}}-\frac{a^{2} e}{4 \left(c x -a \right) c^{5}}+\frac{a d}{4 \left(c x +a \right) c^{4}}-\frac{a d}{4 \left(c x -a \right) c^{4}}+\frac{3 a e \ln \left(c x -a \right)}{4 c^{5}}-\frac{3 a e \ln \left(c x +a \right)}{4 c^{5}}+\frac{d \ln \left(c x -a \right)}{2 c^{4}}+\frac{d \ln \left(c x +a \right)}{2 c^{4}}+\frac{e x}{c^{4}}"," ",0,"e*x/c^4-3/4/c^5*ln(c*x+a)*a*e+1/2/c^4*ln(c*x+a)*d-1/4/c^5*a^2/(c*x+a)*e+1/4/c^4*a/(c*x+a)*d+3/4/c^5*ln(c*x-a)*a*e+1/2/c^4*ln(c*x-a)*d-1/4/c^5*a^2/(c*x-a)*e-1/4/c^4*a/(c*x-a)*d","A"
308,1,118,71,0.052000," ","int(x^2*(e*x+d)/(-c^2*x^2+a^2)^2,x)","\frac{a e}{4 \left(c x +a \right) c^{4}}-\frac{a e}{4 \left(c x -a \right) c^{4}}+\frac{d \ln \left(c x -a \right)}{4 a \,c^{3}}-\frac{d \ln \left(c x +a \right)}{4 a \,c^{3}}-\frac{d}{4 \left(c x +a \right) c^{3}}-\frac{d}{4 \left(c x -a \right) c^{3}}+\frac{e \ln \left(c x -a \right)}{2 c^{4}}+\frac{e \ln \left(c x +a \right)}{2 c^{4}}"," ",0,"1/4/c^4/(c*x+a)*a*e-1/4/c^3/(c*x+a)*d+1/2/c^4*ln(c*x+a)*e-1/4/a/c^3*ln(c*x+a)*d-1/4/c^4/(c*x-a)*a*e-1/4/c^3/(c*x-a)*d+1/2/c^4*ln(c*x-a)*e+1/4/a/c^3*ln(c*x-a)*d","A"
309,1,96,41,0.053000," ","int(x*(e*x+d)/(-c^2*x^2+a^2)^2,x)","\frac{d}{4 \left(c x +a \right) a \,c^{2}}-\frac{d}{4 \left(c x -a \right) a \,c^{2}}+\frac{e \ln \left(c x -a \right)}{4 a \,c^{3}}-\frac{e \ln \left(c x +a \right)}{4 a \,c^{3}}-\frac{e}{4 \left(c x +a \right) c^{3}}-\frac{e}{4 \left(c x -a \right) c^{3}}"," ",0,"-1/4*e/a/c^3*ln(c*x+a)-1/4/c^3/(c*x+a)*e+1/4/a/c^2/(c*x+a)*d+1/4*e/a/c^3*ln(c*x-a)-1/4/c^3/(c*x-a)*e-1/4/a/c^2/(c*x-a)*d","B"
310,1,102,51,0.051000," ","int((e*x+d)/(-c^2*x^2+a^2)^2,x)","\frac{e}{4 \left(c x +a \right) a \,c^{2}}-\frac{e}{4 \left(c x -a \right) a \,c^{2}}-\frac{d}{4 \left(c x +a \right) a^{2} c}-\frac{d}{4 \left(c x -a \right) a^{2} c}-\frac{d \ln \left(c x -a \right)}{4 a^{3} c}+\frac{d \ln \left(c x +a \right)}{4 a^{3} c}"," ",0,"1/4*d/a^3/c*ln(c*x+a)+1/4/c^2/a/(c*x+a)*e-1/4/c/a^2/(c*x+a)*d-1/4*d/a^3/c*ln(c*x-a)-1/4/c^2/a/(c*x-a)*e-1/4/c/a^2/(c*x-a)*d","A"
311,1,129,78,0.063000," ","int((e*x+d)/x/(-c^2*x^2+a^2)^2,x)","-\frac{e}{4 \left(c x +a \right) a^{2} c}-\frac{e}{4 \left(c x -a \right) a^{2} c}-\frac{e \ln \left(c x -a \right)}{4 a^{3} c}+\frac{e \ln \left(c x +a \right)}{4 a^{3} c}+\frac{d}{4 \left(c x +a \right) a^{3}}-\frac{d}{4 \left(c x -a \right) a^{3}}+\frac{d \ln \left(x \right)}{a^{4}}-\frac{d \ln \left(c x -a \right)}{2 a^{4}}-\frac{d \ln \left(c x +a \right)}{2 a^{4}}"," ",0,"1/4/a^3/c*ln(c*x+a)*e-1/2/a^4*ln(c*x+a)*d-1/4/a^2/c/(c*x+a)*e+1/4/a^3/(c*x+a)*d-1/4/a^3/c*ln(c*x-a)*e-1/2/a^4*ln(c*x-a)*d-1/4/a^2/c/(c*x-a)*e-1/4/a^3/(c*x-a)*d+1/a^4*d*ln(x)","A"
312,1,130,85,0.063000," ","int((e*x+d)/x^2/(-c^2*x^2+a^2)^2,x)","\frac{e}{4 \left(c x +a \right) a^{3}}-\frac{e}{4 \left(c x -a \right) a^{3}}-\frac{c d}{4 \left(c x +a \right) a^{4}}-\frac{c d}{4 \left(c x -a \right) a^{4}}+\frac{e \ln \left(x \right)}{a^{4}}-\frac{e \ln \left(c x -a \right)}{2 a^{4}}-\frac{e \ln \left(c x +a \right)}{2 a^{4}}-\frac{3 c d \ln \left(c x -a \right)}{4 a^{5}}+\frac{3 c d \ln \left(c x +a \right)}{4 a^{5}}-\frac{d}{a^{4} x}"," ",0,"-1/2/a^4*ln(c*x+a)*e+3/4/a^5*ln(c*x+a)*c*d+1/4/a^3/(c*x+a)*e-1/4/a^4/(c*x+a)*c*d-1/2/a^4*ln(c*x-a)*e-3/4/a^5*ln(c*x-a)*c*d-1/4/a^3/(c*x-a)*e-1/4/a^4/(c*x-a)*c*d+1/a^4*e*ln(x)-1/a^4*d/x","A"
313,1,155,100,0.064000," ","int((e*x+d)/x^3/(-c^2*x^2+a^2)^2,x)","-\frac{c e}{4 \left(c x +a \right) a^{4}}-\frac{c e}{4 \left(c x -a \right) a^{4}}+\frac{c^{2} d}{4 \left(c x +a \right) a^{5}}-\frac{c^{2} d}{4 \left(c x -a \right) a^{5}}-\frac{3 c e \ln \left(c x -a \right)}{4 a^{5}}+\frac{3 c e \ln \left(c x +a \right)}{4 a^{5}}+\frac{2 c^{2} d \ln \left(x \right)}{a^{6}}-\frac{c^{2} d \ln \left(c x -a \right)}{a^{6}}-\frac{c^{2} d \ln \left(c x +a \right)}{a^{6}}-\frac{e}{a^{4} x}-\frac{d}{2 a^{4} x^{2}}"," ",0,"3/4*c/a^5*ln(c*x+a)*e-c^2/a^6*ln(c*x+a)*d-1/4*c/a^4/(c*x+a)*e+1/4*c^2/a^5/(c*x+a)*d-3/4*c/a^5*ln(c*x-a)*e-c^2/a^6*ln(c*x-a)*d-1/4*c/a^4/(c*x-a)*e-1/4*c^2/a^5/(c*x-a)*d-1/a^4*e/x-1/2/a^4*d/x^2+2*c^2*d*ln(x)/a^6","A"
314,1,136,124,0.056000," ","int(x^4*(B*x+A)*(c*x^2+a)^(1/2),x)","\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} B \,x^{4}}{7 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} A \,x^{3}}{6 c}+\frac{A \,a^{3} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{16 c^{\frac{5}{2}}}+\frac{\sqrt{c \,x^{2}+a}\, A \,a^{2} x}{16 c^{2}}-\frac{4 \left(c \,x^{2}+a \right)^{\frac{3}{2}} B a \,x^{2}}{35 c^{2}}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} A a x}{8 c^{2}}+\frac{8 \left(c \,x^{2}+a \right)^{\frac{3}{2}} B \,a^{2}}{105 c^{3}}"," ",0,"1/7*B*x^4*(c*x^2+a)^(3/2)/c-4/35*a*B*x^2*(c*x^2+a)^(3/2)/c^2+8/105*B*a^2/c^3*(c*x^2+a)^(3/2)+1/6*A*x^3*(c*x^2+a)^(3/2)/c-1/8*A*a/c^2*x*(c*x^2+a)^(3/2)+1/16*a^2*A*x*(c*x^2+a)^(1/2)/c^2+1/16*A*a^3/c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
315,1,115,103,0.064000," ","int(x^3*(B*x+A)*(c*x^2+a)^(1/2),x)","\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} B \,x^{3}}{6 c}+\frac{B \,a^{3} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{16 c^{\frac{5}{2}}}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} A \,x^{2}}{5 c}+\frac{\sqrt{c \,x^{2}+a}\, B \,a^{2} x}{16 c^{2}}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} B a x}{8 c^{2}}-\frac{2 \left(c \,x^{2}+a \right)^{\frac{3}{2}} A a}{15 c^{2}}"," ",0,"1/6*B*x^3*(c*x^2+a)^(3/2)/c-1/8*B*a/c^2*x*(c*x^2+a)^(3/2)+1/16*a^2*B*x*(c*x^2+a)^(1/2)/c^2+1/16*B*a^3/c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))+1/5*A*x^2*(c*x^2+a)^(3/2)/c-2/15*A*a/c^2*(c*x^2+a)^(3/2)","A"
316,1,94,84,0.058000," ","int(x^2*(B*x+A)*(c*x^2+a)^(1/2),x)","-\frac{A \,a^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8 c^{\frac{3}{2}}}-\frac{\sqrt{c \,x^{2}+a}\, A a x}{8 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} B \,x^{2}}{5 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} A x}{4 c}-\frac{2 \left(c \,x^{2}+a \right)^{\frac{3}{2}} B a}{15 c^{2}}"," ",0,"1/5*B*x^2*(c*x^2+a)^(3/2)/c-2/15*B*a/c^2*(c*x^2+a)^(3/2)+1/4*A*x*(c*x^2+a)^(3/2)/c-1/8*a*A*x*(c*x^2+a)^(1/2)/c-1/8*A*a^2/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
317,1,75,64,0.052000," ","int(x*(B*x+A)*(c*x^2+a)^(1/2),x)","-\frac{B \,a^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8 c^{\frac{3}{2}}}-\frac{\sqrt{c \,x^{2}+a}\, B a x}{8 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} B x}{4 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} A}{3 c}"," ",0,"1/4*B*x*(c*x^2+a)^(3/2)/c-1/8*a*B*x*(c*x^2+a)^(1/2)/c-1/8*B*a^2/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))+1/3*A*(c*x^2+a)^(3/2)/c","A"
318,1,53,51,0.052000," ","int((B*x+A)*(c*x^2+a)^(1/2),x)","\frac{A a \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2 \sqrt{c}}+\frac{\sqrt{c \,x^{2}+a}\, A x}{2}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} B}{3 c}"," ",0,"1/3*B*(c*x^2+a)^(3/2)/c+1/2*A*x*(c*x^2+a)^(1/2)+1/2*A*a/c^(1/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
319,1,78,61,0.053000," ","int((B*x+A)*(c*x^2+a)^(1/2)/x,x)","-A \sqrt{a}\, \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)+\frac{B a \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2 \sqrt{c}}+\frac{\sqrt{c \,x^{2}+a}\, B x}{2}+\sqrt{c \,x^{2}+a}\, A"," ",0,"1/2*B*x*(c*x^2+a)^(1/2)+1/2*B*a/c^(1/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))-A*a^(1/2)*ln((2*a+2*a^(1/2)*(c*x^2+a)^(1/2))/x)+A*(c*x^2+a)^(1/2)","A"
320,1,97,61,0.056000," ","int((B*x+A)*(c*x^2+a)^(1/2)/x^2,x)","A \sqrt{c}\, \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)-B \sqrt{a}\, \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)+\frac{\sqrt{c \,x^{2}+a}\, A c x}{a}+\sqrt{c \,x^{2}+a}\, B -\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} A}{a x}"," ",0,"-A/a/x*(c*x^2+a)^(3/2)+A*c/a*x*(c*x^2+a)^(1/2)+A*c^(1/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))-B*a^(1/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)+B*(c*x^2+a)^(1/2)","A"
321,1,121,62,0.059000," ","int((B*x+A)*(c*x^2+a)^(1/2)/x^3,x)","-\frac{A c \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2 \sqrt{a}}+B \sqrt{c}\, \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)+\frac{\sqrt{c \,x^{2}+a}\, B c x}{a}+\frac{\sqrt{c \,x^{2}+a}\, A c}{2 a}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} B}{a x}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} A}{2 a \,x^{2}}"," ",0,"-1/2*A/a/x^2*(c*x^2+a)^(3/2)-1/2*A*c/a^(1/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)+1/2*A*c/a*(c*x^2+a)^(1/2)-B/a/x*(c*x^2+a)^(3/2)+B*c/a*x*(c*x^2+a)^(1/2)+B*c^(1/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
322,1,84,55,0.069000," ","int((B*x+A)*(c*x^2+a)^(1/2)/x^4,x)","-\frac{B c \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2 \sqrt{a}}+\frac{\sqrt{c \,x^{2}+a}\, B c}{2 a}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} B}{2 a \,x^{2}}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} A}{3 a \,x^{3}}"," ",0,"-1/3*A*(c*x^2+a)^(3/2)/a/x^3-1/2*B/a/x^2*(c*x^2+a)^(3/2)-1/2*B*c/a^(1/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)+1/2*B*c/a*(c*x^2+a)^(1/2)","A"
323,1,107,79,0.059000," ","int((B*x+A)*(c*x^2+a)^(1/2)/x^5,x)","\frac{A \,c^{2} \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{3}{2}}}-\frac{\sqrt{c \,x^{2}+a}\, A \,c^{2}}{8 a^{2}}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} A c}{8 a^{2} x^{2}}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} B}{3 a \,x^{3}}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} A}{4 a \,x^{4}}"," ",0,"-1/4*A*(c*x^2+a)^(3/2)/a/x^4+1/8*A*c/a^2/x^2*(c*x^2+a)^(3/2)+1/8*A*c^2/a^(3/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)-1/8*A*c^2/a^2*(c*x^2+a)^(1/2)-1/3*B*(c*x^2+a)^(3/2)/a/x^3","A"
324,1,126,98,0.064000," ","int((B*x+A)*(c*x^2+a)^(1/2)/x^6,x)","\frac{B \,c^{2} \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{3}{2}}}-\frac{\sqrt{c \,x^{2}+a}\, B \,c^{2}}{8 a^{2}}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} B c}{8 a^{2} x^{2}}+\frac{2 \left(c \,x^{2}+a \right)^{\frac{3}{2}} A c}{15 a^{2} x^{3}}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} B}{4 a \,x^{4}}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} A}{5 a \,x^{5}}"," ",0,"-1/5*A*(c*x^2+a)^(3/2)/a/x^5+2/15*A*c*(c*x^2+a)^(3/2)/a^2/x^3-1/4*B*(c*x^2+a)^(3/2)/a/x^4+1/8*B*c/a^2/x^2*(c*x^2+a)^(3/2)+1/8*B*c^2/a^(3/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)-1/8*B*c^2/a^2*(c*x^2+a)^(1/2)","A"
325,1,147,119,0.059000," ","int((B*x+A)*(c*x^2+a)^(1/2)/x^7,x)","-\frac{A \,c^{3} \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{5}{2}}}+\frac{\sqrt{c \,x^{2}+a}\, A \,c^{3}}{16 a^{3}}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} A \,c^{2}}{16 a^{3} x^{2}}+\frac{2 \left(c \,x^{2}+a \right)^{\frac{3}{2}} B c}{15 a^{2} x^{3}}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} A c}{8 a^{2} x^{4}}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} B}{5 a \,x^{5}}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} A}{6 a \,x^{6}}"," ",0,"-1/5*B*(c*x^2+a)^(3/2)/a/x^5+2/15*B*c*(c*x^2+a)^(3/2)/a^2/x^3-1/6*A*(c*x^2+a)^(3/2)/a/x^6+1/8*A*c*(c*x^2+a)^(3/2)/a^2/x^4-1/16*A*c^2/a^3/x^2*(c*x^2+a)^(3/2)-1/16*A*c^3/a^(5/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)+1/16*A*c^3/a^3*(c*x^2+a)^(1/2)","A"
326,1,155,143,0.058000," ","int(x^4*(B*x+A)*(c*x^2+a)^(3/2),x)","\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} B \,x^{4}}{9 c}+\frac{3 A \,a^{4} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{128 c^{\frac{5}{2}}}+\frac{3 \sqrt{c \,x^{2}+a}\, A \,a^{3} x}{128 c^{2}}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} A \,x^{3}}{8 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} A \,a^{2} x}{64 c^{2}}-\frac{4 \left(c \,x^{2}+a \right)^{\frac{5}{2}} B a \,x^{2}}{63 c^{2}}-\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} A a x}{16 c^{2}}+\frac{8 \left(c \,x^{2}+a \right)^{\frac{5}{2}} B \,a^{2}}{315 c^{3}}"," ",0,"1/9*B*x^4*(c*x^2+a)^(5/2)/c-4/63*a*B*x^2*(c*x^2+a)^(5/2)/c^2+8/315*B*a^2/c^3*(c*x^2+a)^(5/2)+1/8*A*x^3*(c*x^2+a)^(5/2)/c-1/16*A*a/c^2*x*(c*x^2+a)^(5/2)+1/64*a^2*A*x*(c*x^2+a)^(3/2)/c^2+3/128*a^3*A*x*(c*x^2+a)^(1/2)/c^2+3/128*A*a^4/c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
327,1,134,122,0.063000," ","int(x^3*(B*x+A)*(c*x^2+a)^(3/2),x)","\frac{3 B \,a^{4} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{128 c^{\frac{5}{2}}}+\frac{3 \sqrt{c \,x^{2}+a}\, B \,a^{3} x}{128 c^{2}}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} B \,x^{3}}{8 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} A \,x^{2}}{7 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} B \,a^{2} x}{64 c^{2}}-\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} B a x}{16 c^{2}}-\frac{2 \left(c \,x^{2}+a \right)^{\frac{5}{2}} A a}{35 c^{2}}"," ",0,"1/8*B*x^3*(c*x^2+a)^(5/2)/c-1/16*B*a/c^2*x*(c*x^2+a)^(5/2)+1/64*a^2*B*x*(c*x^2+a)^(3/2)/c^2+3/128*a^3*B*x*(c*x^2+a)^(1/2)/c^2+3/128*B*a^4/c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))+1/7*A*x^2*(c*x^2+a)^(5/2)/c-2/35*A*a/c^2*(c*x^2+a)^(5/2)","A"
328,1,113,103,0.054000," ","int(x^2*(B*x+A)*(c*x^2+a)^(3/2),x)","-\frac{A \,a^{3} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{16 c^{\frac{3}{2}}}-\frac{\sqrt{c \,x^{2}+a}\, A \,a^{2} x}{16 c}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} A a x}{24 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} B \,x^{2}}{7 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} A x}{6 c}-\frac{2 \left(c \,x^{2}+a \right)^{\frac{5}{2}} B a}{35 c^{2}}"," ",0,"1/7*B*x^2*(c*x^2+a)^(5/2)/c-2/35*B*a/c^2*(c*x^2+a)^(5/2)+1/6*A*x*(c*x^2+a)^(5/2)/c-1/24*a*A*x*(c*x^2+a)^(3/2)/c-1/16*a^2*A*x*(c*x^2+a)^(1/2)/c-1/16*A*a^3/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
329,1,94,83,0.051000," ","int(x*(B*x+A)*(c*x^2+a)^(3/2),x)","-\frac{B \,a^{3} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{16 c^{\frac{3}{2}}}-\frac{\sqrt{c \,x^{2}+a}\, B \,a^{2} x}{16 c}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} B a x}{24 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} B x}{6 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} A}{5 c}"," ",0,"1/6*B*x*(c*x^2+a)^(5/2)/c-1/24*a*B*x*(c*x^2+a)^(3/2)/c-1/16*a^2*B*x*(c*x^2+a)^(1/2)/c-1/16*B*a^3/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))+1/5*A*(c*x^2+a)^(5/2)/c","A"
330,1,69,67,0.047000," ","int((B*x+A)*(c*x^2+a)^(3/2),x)","\frac{3 A \,a^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8 \sqrt{c}}+\frac{3 \sqrt{c \,x^{2}+a}\, A a x}{8}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} A x}{4}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} B}{5 c}"," ",0,"1/5*B*(c*x^2+a)^(5/2)/c+1/4*A*x*(c*x^2+a)^(3/2)+3/8*a*A*x*(c*x^2+a)^(1/2)+3/8*A*a^2/c^(1/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
331,1,107,84,0.052000," ","int((B*x+A)*(c*x^2+a)^(3/2)/x,x)","-A \,a^{\frac{3}{2}} \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)+\frac{3 B \,a^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8 \sqrt{c}}+\frac{3 \sqrt{c \,x^{2}+a}\, B a x}{8}+\sqrt{c \,x^{2}+a}\, A a +\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} B x}{4}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} A}{3}"," ",0,"1/4*B*x*(c*x^2+a)^(3/2)+3/8*B*a*x*(c*x^2+a)^(1/2)+3/8*B*a^2/c^(1/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))+1/3*A*(c*x^2+a)^(3/2)-A*a^(3/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)+A*(c*x^2+a)^(1/2)*a","A"
332,1,126,86,0.057000," ","int((B*x+A)*(c*x^2+a)^(3/2)/x^2,x)","\frac{3 A a \sqrt{c}\, \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2}-B \,a^{\frac{3}{2}} \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)+\frac{3 \sqrt{c \,x^{2}+a}\, A c x}{2}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} A c x}{a}+\sqrt{c \,x^{2}+a}\, B a +\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} B}{3}-\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} A}{a x}"," ",0,"-A/a/x*(c*x^2+a)^(5/2)+A*c/a*x*(c*x^2+a)^(3/2)+3/2*A*c*x*(c*x^2+a)^(1/2)+3/2*A*c^(1/2)*a*ln(c^(1/2)*x+(c*x^2+a)^(1/2))+1/3*B*(c*x^2+a)^(3/2)-B*a^(3/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)+B*(c*x^2+a)^(1/2)*a","A"
333,1,150,87,0.057000," ","int((B*x+A)*(c*x^2+a)^(3/2)/x^3,x)","-\frac{3 A \sqrt{a}\, c \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2}+\frac{3 B a \sqrt{c}\, \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2}+\frac{3 \sqrt{c \,x^{2}+a}\, B c x}{2}+\frac{3 \sqrt{c \,x^{2}+a}\, A c}{2}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} B c x}{a}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} A c}{2 a}-\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} B}{a x}-\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} A}{2 a \,x^{2}}"," ",0,"-1/2*A/a/x^2*(c*x^2+a)^(5/2)+1/2*A*c/a*(c*x^2+a)^(3/2)-3/2*A*c*a^(1/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)+3/2*A*c*(c*x^2+a)^(1/2)-B/a/x*(c*x^2+a)^(5/2)+B*c/a*x*(c*x^2+a)^(3/2)+3/2*B*c*x*(c*x^2+a)^(1/2)+3/2*B*c^(1/2)*a*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
334,1,174,87,0.056000," ","int((B*x+A)*(c*x^2+a)^(3/2)/x^4,x)","A \,c^{\frac{3}{2}} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)-\frac{3 B \sqrt{a}\, c \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2}+\frac{\sqrt{c \,x^{2}+a}\, A \,c^{2} x}{a}+\frac{2 \left(c \,x^{2}+a \right)^{\frac{3}{2}} A \,c^{2} x}{3 a^{2}}+\frac{3 \sqrt{c \,x^{2}+a}\, B c}{2}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} B c}{2 a}-\frac{2 \left(c \,x^{2}+a \right)^{\frac{5}{2}} A c}{3 a^{2} x}-\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} B}{2 a \,x^{2}}-\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} A}{3 a \,x^{3}}"," ",0,"-1/3*A/a/x^3*(c*x^2+a)^(5/2)-2/3*A*c/a^2/x*(c*x^2+a)^(5/2)+2/3*A*c^2/a^2*x*(c*x^2+a)^(3/2)+A*c^2/a*x*(c*x^2+a)^(1/2)+A*c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))-1/2*B/a/x^2*(c*x^2+a)^(5/2)+1/2*B*c/a*(c*x^2+a)^(3/2)-3/2*B*c*a^(1/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)+3/2*B*c*(c*x^2+a)^(1/2)","A"
335,1,202,89,0.054000," ","int((B*x+A)*(c*x^2+a)^(3/2)/x^5,x)","-\frac{3 A \,c^{2} \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{8 \sqrt{a}}+B \,c^{\frac{3}{2}} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)+\frac{\sqrt{c \,x^{2}+a}\, B \,c^{2} x}{a}+\frac{3 \sqrt{c \,x^{2}+a}\, A \,c^{2}}{8 a}+\frac{2 \left(c \,x^{2}+a \right)^{\frac{3}{2}} B \,c^{2} x}{3 a^{2}}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} A \,c^{2}}{8 a^{2}}-\frac{2 \left(c \,x^{2}+a \right)^{\frac{5}{2}} B c}{3 a^{2} x}-\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} A c}{8 a^{2} x^{2}}-\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} B}{3 a \,x^{3}}-\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} A}{4 a \,x^{4}}"," ",0,"-1/4*A/a/x^4*(c*x^2+a)^(5/2)-1/8*A*c/a^2/x^2*(c*x^2+a)^(5/2)+1/8*A*c^2/a^2*(c*x^2+a)^(3/2)-3/8*A*c^2/a^(1/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)+3/8*A*c^2/a*(c*x^2+a)^(1/2)-1/3*B/a/x^3*(c*x^2+a)^(5/2)-2/3*B*c/a^2/x*(c*x^2+a)^(5/2)+2/3*B*c^2/a^2*x*(c*x^2+a)^(3/2)+B*c^2/a*x*(c*x^2+a)^(1/2)+B*c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","B"
336,1,125,73,0.059000," ","int((B*x+A)*(c*x^2+a)^(3/2)/x^6,x)","-\frac{3 B \,c^{2} \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{8 \sqrt{a}}+\frac{3 \sqrt{c \,x^{2}+a}\, B \,c^{2}}{8 a}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} B \,c^{2}}{8 a^{2}}-\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} B c}{8 a^{2} x^{2}}-\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} B}{4 a \,x^{4}}-\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} A}{5 a \,x^{5}}"," ",0,"-1/5*A*(c*x^2+a)^(5/2)/a/x^5-1/4*B/a/x^4*(c*x^2+a)^(5/2)-1/8*B*c/a^2/x^2*(c*x^2+a)^(5/2)+1/8*B*c^2/a^2*(c*x^2+a)^(3/2)-3/8*B*c^2/a^(1/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)+3/8*B*c^2/a*(c*x^2+a)^(1/2)","A"
337,1,146,100,0.069000," ","int((B*x+A)*(c*x^2+a)^(3/2)/x^7,x)","\frac{A \,c^{3} \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{3}{2}}}-\frac{\sqrt{c \,x^{2}+a}\, A \,c^{3}}{16 a^{2}}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} A \,c^{3}}{48 a^{3}}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} A \,c^{2}}{48 a^{3} x^{2}}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} A c}{24 a^{2} x^{4}}-\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} B}{5 a \,x^{5}}-\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} A}{6 a \,x^{6}}"," ",0,"-1/5*B*(c*x^2+a)^(5/2)/a/x^5-1/6*A*(c*x^2+a)^(5/2)/a/x^6+1/24*A*c/a^2/x^4*(c*x^2+a)^(5/2)+1/48*A*c^2/a^3/x^2*(c*x^2+a)^(5/2)-1/48*A*c^3/a^3*(c*x^2+a)^(3/2)+1/16*A*c^3/a^(3/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)-1/16*A*c^3/a^2*(c*x^2+a)^(1/2)","A"
338,1,165,119,0.068000," ","int((B*x+A)*(c*x^2+a)^(3/2)/x^8,x)","\frac{B \,c^{3} \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{3}{2}}}-\frac{\sqrt{c \,x^{2}+a}\, B \,c^{3}}{16 a^{2}}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} B \,c^{3}}{48 a^{3}}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} B \,c^{2}}{48 a^{3} x^{2}}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} B c}{24 a^{2} x^{4}}+\frac{2 \left(c \,x^{2}+a \right)^{\frac{5}{2}} A c}{35 a^{2} x^{5}}-\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} B}{6 a \,x^{6}}-\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} A}{7 a \,x^{7}}"," ",0,"-1/7*A*(c*x^2+a)^(5/2)/a/x^7+2/35*A*c*(c*x^2+a)^(5/2)/a^2/x^5-1/6*B*(c*x^2+a)^(5/2)/a/x^6+1/24*B*c/a^2/x^4*(c*x^2+a)^(5/2)+1/48*B*c^2/a^3/x^2*(c*x^2+a)^(5/2)-1/48*B*c^3/a^3*(c*x^2+a)^(3/2)+1/16*B*c^3/a^(3/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)-1/16*B*c^3/a^2*(c*x^2+a)^(1/2)","A"
339,1,174,162,0.058000," ","int(x^4*(B*x+A)*(c*x^2+a)^(5/2),x)","\frac{3 A \,a^{5} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{256 c^{\frac{5}{2}}}+\frac{3 \sqrt{c \,x^{2}+a}\, A \,a^{4} x}{256 c^{2}}+\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} B \,x^{4}}{11 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} A \,a^{3} x}{128 c^{2}}+\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} A \,x^{3}}{10 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} A \,a^{2} x}{160 c^{2}}-\frac{4 \left(c \,x^{2}+a \right)^{\frac{7}{2}} B a \,x^{2}}{99 c^{2}}-\frac{3 \left(c \,x^{2}+a \right)^{\frac{7}{2}} A a x}{80 c^{2}}+\frac{8 \left(c \,x^{2}+a \right)^{\frac{7}{2}} B \,a^{2}}{693 c^{3}}"," ",0,"1/11*B*x^4*(c*x^2+a)^(7/2)/c-4/99*a*B*x^2*(c*x^2+a)^(7/2)/c^2+8/693*B*a^2/c^3*(c*x^2+a)^(7/2)+1/10*A*x^3*(c*x^2+a)^(7/2)/c-3/80*A*a/c^2*x*(c*x^2+a)^(7/2)+1/160*a^2*A*x*(c*x^2+a)^(5/2)/c^2+1/128*a^3*A*x*(c*x^2+a)^(3/2)/c^2+3/256*a^4*A*x*(c*x^2+a)^(1/2)/c^2+3/256*A*a^5/c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
340,1,153,141,0.055000," ","int(x^3*(B*x+A)*(c*x^2+a)^(5/2),x)","\frac{3 B \,a^{5} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{256 c^{\frac{5}{2}}}+\frac{3 \sqrt{c \,x^{2}+a}\, B \,a^{4} x}{256 c^{2}}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} B \,a^{3} x}{128 c^{2}}+\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} B \,x^{3}}{10 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} A \,x^{2}}{9 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} B \,a^{2} x}{160 c^{2}}-\frac{3 \left(c \,x^{2}+a \right)^{\frac{7}{2}} B a x}{80 c^{2}}-\frac{2 \left(c \,x^{2}+a \right)^{\frac{7}{2}} A a}{63 c^{2}}"," ",0,"1/10*B*x^3*(c*x^2+a)^(7/2)/c-3/80*B*a/c^2*x*(c*x^2+a)^(7/2)+1/160*a^2*B*x*(c*x^2+a)^(5/2)/c^2+1/128*a^3*B*x*(c*x^2+a)^(3/2)/c^2+3/256*a^4*B*x*(c*x^2+a)^(1/2)/c^2+3/256*B*a^5/c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))+1/9*A*x^2*(c*x^2+a)^(7/2)/c-2/63*A*a/c^2*(c*x^2+a)^(7/2)","A"
341,1,132,122,0.061000," ","int(x^2*(B*x+A)*(c*x^2+a)^(5/2),x)","-\frac{5 A \,a^{4} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{128 c^{\frac{3}{2}}}-\frac{5 \sqrt{c \,x^{2}+a}\, A \,a^{3} x}{128 c}-\frac{5 \left(c \,x^{2}+a \right)^{\frac{3}{2}} A \,a^{2} x}{192 c}-\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} A a x}{48 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} B \,x^{2}}{9 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} A x}{8 c}-\frac{2 \left(c \,x^{2}+a \right)^{\frac{7}{2}} B a}{63 c^{2}}"," ",0,"1/9*B*x^2*(c*x^2+a)^(7/2)/c-2/63*B*a/c^2*(c*x^2+a)^(7/2)+1/8*A*x*(c*x^2+a)^(7/2)/c-1/48*a*A*x*(c*x^2+a)^(5/2)/c-5/192*a^2*A*x*(c*x^2+a)^(3/2)/c-5/128*a^3*A*x*(c*x^2+a)^(1/2)/c-5/128*A*a^4/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
342,1,113,102,0.053000," ","int(x*(B*x+A)*(c*x^2+a)^(5/2),x)","-\frac{5 B \,a^{4} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{128 c^{\frac{3}{2}}}-\frac{5 \sqrt{c \,x^{2}+a}\, B \,a^{3} x}{128 c}-\frac{5 \left(c \,x^{2}+a \right)^{\frac{3}{2}} B \,a^{2} x}{192 c}-\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} B a x}{48 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} B x}{8 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} A}{7 c}"," ",0,"1/8*B*x*(c*x^2+a)^(7/2)/c-1/48*a*B*x*(c*x^2+a)^(5/2)/c-5/192*a^2*B*x*(c*x^2+a)^(3/2)/c-5/128*a^3*B*x*(c*x^2+a)^(1/2)/c-5/128*B*a^4/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))+1/7*A*(c*x^2+a)^(7/2)/c","A"
343,1,85,83,0.046000," ","int((B*x+A)*(c*x^2+a)^(5/2),x)","\frac{5 A \,a^{3} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{16 \sqrt{c}}+\frac{5 \sqrt{c \,x^{2}+a}\, A \,a^{2} x}{16}+\frac{5 \left(c \,x^{2}+a \right)^{\frac{3}{2}} A a x}{24}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} A x}{6}+\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} B}{7 c}"," ",0,"1/7*B*(c*x^2+a)^(7/2)/c+1/6*A*x*(c*x^2+a)^(5/2)+5/24*a*A*x*(c*x^2+a)^(3/2)+5/16*a^2*A*x*(c*x^2+a)^(1/2)+5/16*A*a^3/c^(1/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
344,1,138,106,0.049000," ","int((B*x+A)*(c*x^2+a)^(5/2)/x,x)","-A \,a^{\frac{5}{2}} \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)+\frac{5 B \,a^{3} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{16 \sqrt{c}}+\frac{5 \sqrt{c \,x^{2}+a}\, B \,a^{2} x}{16}+\sqrt{c \,x^{2}+a}\, A \,a^{2}+\frac{5 \left(c \,x^{2}+a \right)^{\frac{3}{2}} B a x}{24}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} A a}{3}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} B x}{6}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} A}{5}"," ",0,"1/6*B*x*(c*x^2+a)^(5/2)+5/24*B*a*x*(c*x^2+a)^(3/2)+5/16*B*a^2*x*(c*x^2+a)^(1/2)+5/16*B*a^3/c^(1/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))+1/5*A*(c*x^2+a)^(5/2)+1/3*A*a*(c*x^2+a)^(3/2)-A*a^(5/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)+A*(c*x^2+a)^(1/2)*a^2","A"
345,1,158,110,0.063000," ","int((B*x+A)*(c*x^2+a)^(5/2)/x^2,x)","\frac{15 A \,a^{2} \sqrt{c}\, \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8}-B \,a^{\frac{5}{2}} \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)+\frac{15 \sqrt{c \,x^{2}+a}\, A a c x}{8}+\frac{5 \left(c \,x^{2}+a \right)^{\frac{3}{2}} A c x}{4}+\sqrt{c \,x^{2}+a}\, B \,a^{2}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} A c x}{a}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} B a}{3}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} B}{5}-\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} A}{a x}"," ",0,"-A/a/x*(c*x^2+a)^(7/2)+A*c/a*x*(c*x^2+a)^(5/2)+5/4*A*c*x*(c*x^2+a)^(3/2)+15/8*A*c*a*x*(c*x^2+a)^(1/2)+15/8*A*c^(1/2)*a^2*ln(c^(1/2)*x+(c*x^2+a)^(1/2))+1/5*B*(c*x^2+a)^(5/2)+1/3*B*a*(c*x^2+a)^(3/2)-B*a^(5/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)+B*(c*x^2+a)^(1/2)*a^2","A"
346,1,181,113,0.058000," ","int((B*x+A)*(c*x^2+a)^(5/2)/x^3,x)","-\frac{5 A \,a^{\frac{3}{2}} c \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2}+\frac{15 B \,a^{2} \sqrt{c}\, \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8}+\frac{15 \sqrt{c \,x^{2}+a}\, B a c x}{8}+\frac{5 \sqrt{c \,x^{2}+a}\, A a c}{2}+\frac{5 \left(c \,x^{2}+a \right)^{\frac{3}{2}} B c x}{4}+\frac{5 \left(c \,x^{2}+a \right)^{\frac{3}{2}} A c}{6}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} B c x}{a}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} A c}{2 a}-\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} B}{a x}-\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} A}{2 a \,x^{2}}"," ",0,"-1/2*A/a/x^2*(c*x^2+a)^(7/2)+1/2*A*c/a*(c*x^2+a)^(5/2)+5/6*A*c*(c*x^2+a)^(3/2)-5/2*A*c*a^(3/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)+5/2*A*c*a*(c*x^2+a)^(1/2)-B/a/x*(c*x^2+a)^(7/2)+B*c/a*x*(c*x^2+a)^(5/2)+5/4*B*c*x*(c*x^2+a)^(3/2)+15/8*B*c*a*x*(c*x^2+a)^(1/2)+15/8*B*c^(1/2)*a^2*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
347,1,207,109,0.061000," ","int((B*x+A)*(c*x^2+a)^(5/2)/x^4,x)","\frac{5 A a \,c^{\frac{3}{2}} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2}-\frac{5 B \,a^{\frac{3}{2}} c \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2}+\frac{5 \sqrt{c \,x^{2}+a}\, A \,c^{2} x}{2}+\frac{5 \left(c \,x^{2}+a \right)^{\frac{3}{2}} A \,c^{2} x}{3 a}+\frac{5 \sqrt{c \,x^{2}+a}\, B a c}{2}+\frac{4 \left(c \,x^{2}+a \right)^{\frac{5}{2}} A \,c^{2} x}{3 a^{2}}+\frac{5 \left(c \,x^{2}+a \right)^{\frac{3}{2}} B c}{6}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} B c}{2 a}-\frac{4 \left(c \,x^{2}+a \right)^{\frac{7}{2}} A c}{3 a^{2} x}-\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} B}{2 a \,x^{2}}-\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} A}{3 a \,x^{3}}"," ",0,"-1/3*A/a/x^3*(c*x^2+a)^(7/2)-4/3*A*c/a^2/x*(c*x^2+a)^(7/2)+4/3*A*c^2/a^2*x*(c*x^2+a)^(5/2)+5/3*A*c^2/a*x*(c*x^2+a)^(3/2)+5/2*A*c^2*x*(c*x^2+a)^(1/2)+5/2*A*c^(3/2)*a*ln(c^(1/2)*x+(c*x^2+a)^(1/2))-1/2*B/a/x^2*(c*x^2+a)^(7/2)+1/2*B*c/a*(c*x^2+a)^(5/2)+5/6*B*c*(c*x^2+a)^(3/2)-5/2*B*c*a^(3/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)+5/2*B*c*a*(c*x^2+a)^(1/2)","A"
348,1,236,115,0.063000," ","int((B*x+A)*(c*x^2+a)^(5/2)/x^5,x)","-\frac{15 A \sqrt{a}\, c^{2} \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{8}+\frac{5 B a \,c^{\frac{3}{2}} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2}+\frac{5 \sqrt{c \,x^{2}+a}\, B \,c^{2} x}{2}+\frac{15 \sqrt{c \,x^{2}+a}\, A \,c^{2}}{8}+\frac{5 \left(c \,x^{2}+a \right)^{\frac{3}{2}} B \,c^{2} x}{3 a}+\frac{5 \left(c \,x^{2}+a \right)^{\frac{3}{2}} A \,c^{2}}{8 a}+\frac{4 \left(c \,x^{2}+a \right)^{\frac{5}{2}} B \,c^{2} x}{3 a^{2}}+\frac{3 \left(c \,x^{2}+a \right)^{\frac{5}{2}} A \,c^{2}}{8 a^{2}}-\frac{4 \left(c \,x^{2}+a \right)^{\frac{7}{2}} B c}{3 a^{2} x}-\frac{3 \left(c \,x^{2}+a \right)^{\frac{7}{2}} A c}{8 a^{2} x^{2}}-\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} B}{3 a \,x^{3}}-\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} A}{4 a \,x^{4}}"," ",0,"-1/4*A/a/x^4*(c*x^2+a)^(7/2)-3/8*A*c/a^2/x^2*(c*x^2+a)^(7/2)+3/8*A*c^2/a^2*(c*x^2+a)^(5/2)+5/8*A*c^2/a*(c*x^2+a)^(3/2)-15/8*A*c^2*a^(1/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)+15/8*A*c^2*(c*x^2+a)^(1/2)-1/3*B/a/x^3*(c*x^2+a)^(7/2)-4/3*B*c/a^2/x*(c*x^2+a)^(7/2)+4/3*B*c^2/a^2*x*(c*x^2+a)^(5/2)+5/3*B*c^2/a*x*(c*x^2+a)^(3/2)+5/2*B*c^2*x*(c*x^2+a)^(1/2)+5/2*B*c^(3/2)*a*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","B"
349,1,257,114,0.060000," ","int((B*x+A)*(c*x^2+a)^(5/2)/x^6,x)","A \,c^{\frac{5}{2}} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)-\frac{15 B \sqrt{a}\, c^{2} \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{8}+\frac{\sqrt{c \,x^{2}+a}\, A \,c^{3} x}{a}+\frac{2 \left(c \,x^{2}+a \right)^{\frac{3}{2}} A \,c^{3} x}{3 a^{2}}+\frac{15 \sqrt{c \,x^{2}+a}\, B \,c^{2}}{8}+\frac{8 \left(c \,x^{2}+a \right)^{\frac{5}{2}} A \,c^{3} x}{15 a^{3}}+\frac{5 \left(c \,x^{2}+a \right)^{\frac{3}{2}} B \,c^{2}}{8 a}+\frac{3 \left(c \,x^{2}+a \right)^{\frac{5}{2}} B \,c^{2}}{8 a^{2}}-\frac{8 \left(c \,x^{2}+a \right)^{\frac{7}{2}} A \,c^{2}}{15 a^{3} x}-\frac{3 \left(c \,x^{2}+a \right)^{\frac{7}{2}} B c}{8 a^{2} x^{2}}-\frac{2 \left(c \,x^{2}+a \right)^{\frac{7}{2}} A c}{15 a^{2} x^{3}}-\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} B}{4 a \,x^{4}}-\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} A}{5 a \,x^{5}}"," ",0,"-1/5*A/a/x^5*(c*x^2+a)^(7/2)-2/15*A*c/a^2/x^3*(c*x^2+a)^(7/2)-8/15*A*c^2/a^3/x*(c*x^2+a)^(7/2)+8/15*A*c^3/a^3*x*(c*x^2+a)^(5/2)+2/3*A*c^3/a^2*x*(c*x^2+a)^(3/2)+A*c^3/a*x*(c*x^2+a)^(1/2)+A*c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))-1/4*B/a/x^4*(c*x^2+a)^(7/2)-3/8*B*c/a^2/x^2*(c*x^2+a)^(7/2)+3/8*B*c^2/a^2*(c*x^2+a)^(5/2)+5/8*B*c^2/a*(c*x^2+a)^(3/2)-15/8*B*c^2*a^(1/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)+15/8*B*c^2*(c*x^2+a)^(1/2)","B"
350,1,281,114,0.067000," ","int((B*x+A)*(c*x^2+a)^(5/2)/x^7,x)","-\frac{5 A \,c^{3} \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{16 \sqrt{a}}+B \,c^{\frac{5}{2}} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)+\frac{\sqrt{c \,x^{2}+a}\, B \,c^{3} x}{a}+\frac{5 \sqrt{c \,x^{2}+a}\, A \,c^{3}}{16 a}+\frac{2 \left(c \,x^{2}+a \right)^{\frac{3}{2}} B \,c^{3} x}{3 a^{2}}+\frac{5 \left(c \,x^{2}+a \right)^{\frac{3}{2}} A \,c^{3}}{48 a^{2}}+\frac{8 \left(c \,x^{2}+a \right)^{\frac{5}{2}} B \,c^{3} x}{15 a^{3}}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} A \,c^{3}}{16 a^{3}}-\frac{8 \left(c \,x^{2}+a \right)^{\frac{7}{2}} B \,c^{2}}{15 a^{3} x}-\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} A \,c^{2}}{16 a^{3} x^{2}}-\frac{2 \left(c \,x^{2}+a \right)^{\frac{7}{2}} B c}{15 a^{2} x^{3}}-\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} A c}{24 a^{2} x^{4}}-\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} B}{5 a \,x^{5}}-\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} A}{6 a \,x^{6}}"," ",0,"-1/5*B/a/x^5*(c*x^2+a)^(7/2)-2/15*B*c/a^2/x^3*(c*x^2+a)^(7/2)-8/15*B*c^2/a^3/x*(c*x^2+a)^(7/2)+8/15*B*c^3/a^3*x*(c*x^2+a)^(5/2)+2/3*B*c^3/a^2*x*(c*x^2+a)^(3/2)+B*c^3/a*x*(c*x^2+a)^(1/2)+B*c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))-1/6*A/a/x^6*(c*x^2+a)^(7/2)-1/24*A*c/a^2/x^4*(c*x^2+a)^(7/2)-1/16*A*c^2/a^3/x^2*(c*x^2+a)^(7/2)+1/16*A*c^3/a^3*(c*x^2+a)^(5/2)+5/48*A*c^3/a^2*(c*x^2+a)^(3/2)-5/16*A*c^3/a^(1/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)+5/16*A*c^3/a*(c*x^2+a)^(1/2)","B"
351,1,164,91,0.080000," ","int((B*x+A)*(c*x^2+a)^(5/2)/x^8,x)","-\frac{5 B \,c^{3} \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{16 \sqrt{a}}+\frac{5 \sqrt{c \,x^{2}+a}\, B \,c^{3}}{16 a}+\frac{5 \left(c \,x^{2}+a \right)^{\frac{3}{2}} B \,c^{3}}{48 a^{2}}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} B \,c^{3}}{16 a^{3}}-\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} B \,c^{2}}{16 a^{3} x^{2}}-\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} B c}{24 a^{2} x^{4}}-\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} B}{6 a \,x^{6}}-\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} A}{7 a \,x^{7}}"," ",0,"-1/7*A*(c*x^2+a)^(7/2)/a/x^7-1/6*B/a/x^6*(c*x^2+a)^(7/2)-1/24*B*c/a^2/x^4*(c*x^2+a)^(7/2)-1/16*B*c^2/a^3/x^2*(c*x^2+a)^(7/2)+1/16*B*c^3/a^3*(c*x^2+a)^(5/2)+5/48*B*c^3/a^2*(c*x^2+a)^(3/2)-5/16*B*c^3/a^(1/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)+5/16*B*c^3/a*(c*x^2+a)^(1/2)","A"
352,1,185,121,0.129000," ","int((B*x+A)*(c*x^2+a)^(5/2)/x^9,x)","\frac{5 A \,c^{4} \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{128 a^{\frac{3}{2}}}-\frac{5 \sqrt{c \,x^{2}+a}\, A \,c^{4}}{128 a^{2}}-\frac{5 \left(c \,x^{2}+a \right)^{\frac{3}{2}} A \,c^{4}}{384 a^{3}}-\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} A \,c^{4}}{128 a^{4}}+\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} A \,c^{3}}{128 a^{4} x^{2}}+\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} A \,c^{2}}{192 a^{3} x^{4}}+\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} A c}{48 a^{2} x^{6}}-\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} B}{7 a \,x^{7}}-\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} A}{8 a \,x^{8}}"," ",0,"-1/8*A*(c*x^2+a)^(7/2)/a/x^8+1/48*A*c/a^2/x^6*(c*x^2+a)^(7/2)+1/192*A*c^2/a^3/x^4*(c*x^2+a)^(7/2)+1/128*A*c^3/a^4/x^2*(c*x^2+a)^(7/2)-1/128*A*c^4/a^4*(c*x^2+a)^(5/2)-5/384*A*c^4/a^3*(c*x^2+a)^(3/2)+5/128*A*c^4/a^(3/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)-5/128*A*c^4/a^2*(c*x^2+a)^(1/2)-1/7*B*(c*x^2+a)^(7/2)/a/x^7","A"
353,1,204,140,0.091000," ","int((B*x+A)*(c*x^2+a)^(5/2)/x^10,x)","\frac{5 B \,c^{4} \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{128 a^{\frac{3}{2}}}-\frac{5 \sqrt{c \,x^{2}+a}\, B \,c^{4}}{128 a^{2}}-\frac{5 \left(c \,x^{2}+a \right)^{\frac{3}{2}} B \,c^{4}}{384 a^{3}}-\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} B \,c^{4}}{128 a^{4}}+\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} B \,c^{3}}{128 a^{4} x^{2}}+\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} B \,c^{2}}{192 a^{3} x^{4}}+\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} B c}{48 a^{2} x^{6}}+\frac{2 \left(c \,x^{2}+a \right)^{\frac{7}{2}} A c}{63 a^{2} x^{7}}-\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} B}{8 a \,x^{8}}-\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} A}{9 a \,x^{9}}"," ",0,"-1/8*B*(c*x^2+a)^(7/2)/a/x^8+1/48*B*c/a^2/x^6*(c*x^2+a)^(7/2)+1/192*B*c^2/a^3/x^4*(c*x^2+a)^(7/2)+1/128*B*c^3/a^4/x^2*(c*x^2+a)^(7/2)-1/128*B*c^4/a^4*(c*x^2+a)^(5/2)-5/384*B*c^4/a^3*(c*x^2+a)^(3/2)+5/128*B*c^4/a^(3/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)-5/128*B*c^4/a^2*(c*x^2+a)^(1/2)-1/9*A*(c*x^2+a)^(7/2)/a/x^9+2/63*A*c*(c*x^2+a)^(7/2)/a^2/x^7","A"
354,1,117,105,0.053000," ","int(x^4*(B*x+A)/(c*x^2+a)^(1/2),x)","\frac{\sqrt{c \,x^{2}+a}\, B \,x^{4}}{5 c}+\frac{\sqrt{c \,x^{2}+a}\, A \,x^{3}}{4 c}-\frac{4 \sqrt{c \,x^{2}+a}\, B a \,x^{2}}{15 c^{2}}+\frac{3 A \,a^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8 c^{\frac{5}{2}}}-\frac{3 \sqrt{c \,x^{2}+a}\, A a x}{8 c^{2}}+\frac{8 \sqrt{c \,x^{2}+a}\, B \,a^{2}}{15 c^{3}}"," ",0,"1/5*B*x^4*(c*x^2+a)^(1/2)/c-4/15*a*B*x^2*(c*x^2+a)^(1/2)/c^2+8/15*B*a^2/c^3*(c*x^2+a)^(1/2)+1/4*A*x^3*(c*x^2+a)^(1/2)/c-3/8*A*a/c^2*x*(c*x^2+a)^(1/2)+3/8*A*a^2/c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
355,1,96,84,0.055000," ","int(x^3*(B*x+A)/(c*x^2+a)^(1/2),x)","\frac{\sqrt{c \,x^{2}+a}\, B \,x^{3}}{4 c}+\frac{\sqrt{c \,x^{2}+a}\, A \,x^{2}}{3 c}+\frac{3 B \,a^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8 c^{\frac{5}{2}}}-\frac{3 \sqrt{c \,x^{2}+a}\, B a x}{8 c^{2}}-\frac{2 \sqrt{c \,x^{2}+a}\, A a}{3 c^{2}}"," ",0,"1/4*B*x^3*(c*x^2+a)^(1/2)/c-3/8*B*a/c^2*x*(c*x^2+a)^(1/2)+3/8*B*a^2/c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))+1/3*A*x^2*(c*x^2+a)^(1/2)/c-2/3*A*a/c^2*(c*x^2+a)^(1/2)","A"
356,1,75,65,0.059000," ","int(x^2*(B*x+A)/(c*x^2+a)^(1/2),x)","\frac{\sqrt{c \,x^{2}+a}\, B \,x^{2}}{3 c}-\frac{A a \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2 c^{\frac{3}{2}}}+\frac{\sqrt{c \,x^{2}+a}\, A x}{2 c}-\frac{2 \sqrt{c \,x^{2}+a}\, B a}{3 c^{2}}"," ",0,"1/3*B*x^2*(c*x^2+a)^(1/2)/c-2/3*B*a/c^2*(c*x^2+a)^(1/2)+1/2*A*x/c*(c*x^2+a)^(1/2)-1/2*A*a/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
357,1,55,44,0.051000," ","int(x*(B*x+A)/(c*x^2+a)^(1/2),x)","-\frac{B a \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2 c^{\frac{3}{2}}}+\frac{\sqrt{c \,x^{2}+a}\, B x}{2 c}+\frac{\sqrt{c \,x^{2}+a}\, A}{c}"," ",0,"1/2*B*x/c*(c*x^2+a)^(1/2)-1/2*B*a/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))+A/c*(c*x^2+a)^(1/2)","A"
358,1,37,35,0.050000," ","int((B*x+A)/(c*x^2+a)^(1/2),x)","\frac{A \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{\sqrt{c}}+\frac{\sqrt{c \,x^{2}+a}\, B}{c}"," ",0,"B*(c*x^2+a)^(1/2)/c+A*ln(c^(1/2)*x+(c*x^2+a)^(1/2))/c^(1/2)","A"
359,1,52,41,0.051000," ","int((B*x+A)/x/(c*x^2+a)^(1/2),x)","-\frac{A \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{\sqrt{a}}+\frac{B \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{\sqrt{c}}"," ",0,"B*ln(c^(1/2)*x+(c*x^2+a)^(1/2))/c^(1/2)-A/a^(1/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)","A"
360,1,49,39,0.051000," ","int((B*x+A)/x^2/(c*x^2+a)^(1/2),x)","-\frac{B \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{\sqrt{a}}-\frac{\sqrt{c \,x^{2}+a}\, A}{a x}"," ",0,"-A*(c*x^2+a)^(1/2)/a/x-B/a^(1/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)","A"
361,1,68,58,0.057000," ","int((B*x+A)/x^3/(c*x^2+a)^(1/2),x)","\frac{A c \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{3}{2}}}-\frac{\sqrt{c \,x^{2}+a}\, B}{a x}-\frac{\sqrt{c \,x^{2}+a}\, A}{2 a \,x^{2}}"," ",0,"-1/2*A*(c*x^2+a)^(1/2)/a/x^2+1/2*A*c/a^(3/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)-B*(c*x^2+a)^(1/2)/a/x","A"
362,1,87,77,0.057000," ","int((B*x+A)/x^4/(c*x^2+a)^(1/2),x)","\frac{B c \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{3}{2}}}+\frac{2 \sqrt{c \,x^{2}+a}\, A c}{3 a^{2} x}-\frac{\sqrt{c \,x^{2}+a}\, B}{2 a \,x^{2}}-\frac{\sqrt{c \,x^{2}+a}\, A}{3 a \,x^{3}}"," ",0,"-1/3*A*(c*x^2+a)^(1/2)/a/x^3+2/3*A*c*(c*x^2+a)^(1/2)/a^2/x-1/2*B*(c*x^2+a)^(1/2)/a/x^2+1/2*B*c/a^(3/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)","A"
363,1,108,98,0.059000," ","int((B*x+A)/x^5/(c*x^2+a)^(1/2),x)","-\frac{3 A \,c^{2} \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{5}{2}}}+\frac{2 \sqrt{c \,x^{2}+a}\, B c}{3 a^{2} x}+\frac{3 \sqrt{c \,x^{2}+a}\, A c}{8 a^{2} x^{2}}-\frac{\sqrt{c \,x^{2}+a}\, B}{3 a \,x^{3}}-\frac{\sqrt{c \,x^{2}+a}\, A}{4 a \,x^{4}}"," ",0,"-1/4*A*(c*x^2+a)^(1/2)/a/x^4+3/8*A*c*(c*x^2+a)^(1/2)/a^2/x^2-3/8*A*c^2/a^(5/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)-1/3*B*(c*x^2+a)^(1/2)/a/x^3+2/3*B*c*(c*x^2+a)^(1/2)/a^2/x","A"
364,1,129,119,0.065000," ","int((B*x+A)/x^6/(c*x^2+a)^(1/2),x)","-\frac{3 B \,c^{2} \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{5}{2}}}-\frac{8 \sqrt{c \,x^{2}+a}\, A \,c^{2}}{15 a^{3} x}+\frac{3 \sqrt{c \,x^{2}+a}\, B c}{8 a^{2} x^{2}}+\frac{4 \sqrt{c \,x^{2}+a}\, A c}{15 a^{2} x^{3}}-\frac{\sqrt{c \,x^{2}+a}\, B}{4 a \,x^{4}}-\frac{\sqrt{c \,x^{2}+a}\, A}{5 a \,x^{5}}"," ",0,"-1/5*A*(c*x^2+a)^(1/2)/a/x^5+4/15*A*c*(c*x^2+a)^(1/2)/a^2/x^3-8/15*A*c^2*(c*x^2+a)^(1/2)/a^3/x-1/4*B*(c*x^2+a)^(1/2)/a/x^4+3/8*B*c*(c*x^2+a)^(1/2)/a^2/x^2-3/8*B*c^2/a^(5/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)","A"
365,1,115,87,0.052000," ","int(x^4*(B*x+A)/(c*x^2+a)^(3/2),x)","\frac{B \,x^{4}}{3 \sqrt{c \,x^{2}+a}\, c}+\frac{A \,x^{3}}{2 \sqrt{c \,x^{2}+a}\, c}-\frac{4 B a \,x^{2}}{3 \sqrt{c \,x^{2}+a}\, c^{2}}+\frac{3 A a x}{2 \sqrt{c \,x^{2}+a}\, c^{2}}-\frac{3 A a \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2 c^{\frac{5}{2}}}-\frac{8 B \,a^{2}}{3 \sqrt{c \,x^{2}+a}\, c^{3}}"," ",0,"1/3*B*x^4/c/(c*x^2+a)^(1/2)-4/3*B*a/c^2*x^2/(c*x^2+a)^(1/2)-8/3*B*a^2/c^3/(c*x^2+a)^(1/2)+1/2*A*x^3/c/(c*x^2+a)^(1/2)+3/2*A*a/c^2*x/(c*x^2+a)^(1/2)-3/2*A*a/c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
366,1,93,67,0.095000," ","int(x^3*(B*x+A)/(c*x^2+a)^(3/2),x)","\frac{B \,x^{3}}{2 \sqrt{c \,x^{2}+a}\, c}+\frac{A \,x^{2}}{\sqrt{c \,x^{2}+a}\, c}+\frac{3 B a x}{2 \sqrt{c \,x^{2}+a}\, c^{2}}-\frac{3 B a \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2 c^{\frac{5}{2}}}+\frac{2 A a}{\sqrt{c \,x^{2}+a}\, c^{2}}"," ",0,"1/2*B*x^3/c/(c*x^2+a)^(1/2)+3/2*B*a/c^2*x/(c*x^2+a)^(1/2)-3/2*B*a/c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))+A*x^2/c/(c*x^2+a)^(1/2)+2*A*a/c^2/(c*x^2+a)^(1/2)","A"
367,1,72,56,0.052000," ","int(x^2*(B*x+A)/(c*x^2+a)^(3/2),x)","\frac{B \,x^{2}}{\sqrt{c \,x^{2}+a}\, c}-\frac{A x}{\sqrt{c \,x^{2}+a}\, c}+\frac{A \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{c^{\frac{3}{2}}}+\frac{2 B a}{\sqrt{c \,x^{2}+a}\, c^{2}}"," ",0,"B*x^2/c/(c*x^2+a)^(1/2)+2*B*a/c^2/(c*x^2+a)^(1/2)-A*x/c/(c*x^2+a)^(1/2)+A/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
368,1,54,42,0.046000," ","int(x*(B*x+A)/(c*x^2+a)^(3/2),x)","-\frac{B x}{\sqrt{c \,x^{2}+a}\, c}+\frac{B \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{c^{\frac{3}{2}}}-\frac{A}{\sqrt{c \,x^{2}+a}\, c}"," ",0,"-B*x/c/(c*x^2+a)^(1/2)+B/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))-A/c/(c*x^2+a)^(1/2)","A"
369,1,26,25,0.047000," ","int((B*x+A)/(c*x^2+a)^(3/2),x)","\frac{A c x -B a}{\sqrt{c \,x^{2}+a}\, a c}"," ",0,"(A*c*x-B*a)/a/c/(c*x^2+a)^(1/2)","A"
370,1,60,39,0.049000," ","int((B*x+A)/(c*x^2+a)^(3/2)/x,x)","\frac{B x}{\sqrt{c \,x^{2}+a}\, a}-\frac{A \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{a^{\frac{3}{2}}}+\frac{A}{\sqrt{c \,x^{2}+a}\, a}"," ",0,"B*x/a/(c*x^2+a)^(1/2)+A/a/(c*x^2+a)^(1/2)-A/a^(3/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)","A"
371,1,80,60,0.056000," ","int((B*x+A)/x^2/(c*x^2+a)^(3/2),x)","-\frac{2 A c x}{\sqrt{c \,x^{2}+a}\, a^{2}}-\frac{B \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{a^{\frac{3}{2}}}+\frac{B}{\sqrt{c \,x^{2}+a}\, a}-\frac{A}{\sqrt{c \,x^{2}+a}\, a x}"," ",0,"-A/a/x/(c*x^2+a)^(1/2)-2*A*c/a^2*x/(c*x^2+a)^(1/2)+B/a/(c*x^2+a)^(1/2)-B/a^(3/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)","A"
372,1,101,79,0.056000," ","int((B*x+A)/x^3/(c*x^2+a)^(3/2),x)","-\frac{2 B c x}{\sqrt{c \,x^{2}+a}\, a^{2}}+\frac{3 A c \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{5}{2}}}-\frac{3 A c}{2 \sqrt{c \,x^{2}+a}\, a^{2}}-\frac{B}{\sqrt{c \,x^{2}+a}\, a x}-\frac{A}{2 \sqrt{c \,x^{2}+a}\, a \,x^{2}}"," ",0,"-1/2*A/a/x^2/(c*x^2+a)^(1/2)-3/2*A*c/a^2/(c*x^2+a)^(1/2)+3/2*A*c/a^(5/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)-B/a/x/(c*x^2+a)^(1/2)-2*B*c/a^2*x/(c*x^2+a)^(1/2)","A"
373,1,122,98,0.051000," ","int((B*x+A)/x^4/(c*x^2+a)^(3/2),x)","\frac{8 A \,c^{2} x}{3 \sqrt{c \,x^{2}+a}\, a^{3}}+\frac{3 B c \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{5}{2}}}-\frac{3 B c}{2 \sqrt{c \,x^{2}+a}\, a^{2}}+\frac{4 A c}{3 \sqrt{c \,x^{2}+a}\, a^{2} x}-\frac{B}{2 \sqrt{c \,x^{2}+a}\, a \,x^{2}}-\frac{A}{3 \sqrt{c \,x^{2}+a}\, a \,x^{3}}"," ",0,"-1/3*A/a/x^3/(c*x^2+a)^(1/2)+4/3*A*c/a^2/x/(c*x^2+a)^(1/2)+8/3*A*c^2/a^3*x/(c*x^2+a)^(1/2)-1/2*B/a/x^2/(c*x^2+a)^(1/2)-3/2*B*c/a^2/(c*x^2+a)^(1/2)+3/2*B*c/a^(5/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)","A"
374,1,111,81,0.054000," ","int(x^4*(B*x+A)/(c*x^2+a)^(5/2),x)","\frac{B \,x^{4}}{\left(c \,x^{2}+a \right)^{\frac{3}{2}} c}-\frac{A \,x^{3}}{3 \left(c \,x^{2}+a \right)^{\frac{3}{2}} c}+\frac{4 B a \,x^{2}}{\left(c \,x^{2}+a \right)^{\frac{3}{2}} c^{2}}-\frac{A x}{\sqrt{c \,x^{2}+a}\, c^{2}}+\frac{8 B \,a^{2}}{3 \left(c \,x^{2}+a \right)^{\frac{3}{2}} c^{3}}+\frac{A \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{c^{\frac{5}{2}}}"," ",0,"B*x^4/c/(c*x^2+a)^(3/2)+4*B*a/c^2*x^2/(c*x^2+a)^(3/2)+8/3*B*a^2/c^3/(c*x^2+a)^(3/2)-1/3*A*x^3/c/(c*x^2+a)^(3/2)-A/c^2*x/(c*x^2+a)^(1/2)+A/c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
375,1,91,65,0.051000," ","int(x^3*(B*x+A)/(c*x^2+a)^(5/2),x)","-\frac{B \,x^{3}}{3 \left(c \,x^{2}+a \right)^{\frac{3}{2}} c}-\frac{A \,x^{2}}{\left(c \,x^{2}+a \right)^{\frac{3}{2}} c}-\frac{2 A a}{3 \left(c \,x^{2}+a \right)^{\frac{3}{2}} c^{2}}-\frac{B x}{\sqrt{c \,x^{2}+a}\, c^{2}}+\frac{B \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{c^{\frac{5}{2}}}"," ",0,"-1/3*B*x^3/c/(c*x^2+a)^(3/2)-B/c^2*x/(c*x^2+a)^(1/2)+B/c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))-A*x^2/c/(c*x^2+a)^(3/2)-2/3*A*a/c^2/(c*x^2+a)^(3/2)","A"
376,1,41,45,0.056000," ","int(x^2*(B*x+A)/(c*x^2+a)^(5/2),x)","\frac{A \,c^{2} x^{3}-3 B a c \,x^{2}-2 B \,a^{2}}{3 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a \,c^{2}}"," ",0,"1/3*(A*c^2*x^3-3*B*a*c*x^2-2*B*a^2)/(c*x^2+a)^(3/2)/a/c^2","A"
377,1,29,42,0.048000," ","int(x*(B*x+A)/(c*x^2+a)^(5/2),x)","-\frac{-B c \,x^{3}+a A}{3 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a c}"," ",0,"-1/3*(-B*c*x^3+A*a)/(c*x^2+a)^(3/2)/a/c","A"
378,1,40,43,0.043000," ","int((B*x+A)/(c*x^2+a)^(5/2),x)","\frac{2 A \,c^{2} x^{3}+3 A a c x -B \,a^{2}}{3 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a^{2} c}"," ",0,"1/3*(2*A*c^2*x^3+3*A*a*c*x-B*a^2)/(c*x^2+a)^(3/2)/a^2/c","A"
379,1,92,62,0.052000," ","int((B*x+A)/(c*x^2+a)^(5/2)/x,x)","\frac{B x}{3 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a}+\frac{A}{3 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a}+\frac{2 B x}{3 \sqrt{c \,x^{2}+a}\, a^{2}}-\frac{A \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{a^{\frac{5}{2}}}+\frac{A}{\sqrt{c \,x^{2}+a}\, a^{2}}"," ",0,"1/3*B*x/a/(c*x^2+a)^(3/2)+2/3*B/a^2*x/(c*x^2+a)^(1/2)+1/3*A/a/(c*x^2+a)^(3/2)+A/a^2/(c*x^2+a)^(1/2)-A/a^(5/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)","A"
380,1,112,86,0.055000," ","int((B*x+A)/x^2/(c*x^2+a)^(5/2),x)","-\frac{4 A c x}{3 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a^{2}}-\frac{8 A c x}{3 \sqrt{c \,x^{2}+a}\, a^{3}}+\frac{B}{3 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a}-\frac{B \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{a^{\frac{5}{2}}}-\frac{A}{\left(c \,x^{2}+a \right)^{\frac{3}{2}} a x}+\frac{B}{\sqrt{c \,x^{2}+a}\, a^{2}}"," ",0,"-A/a/x/(c*x^2+a)^(3/2)-4/3*A*c/a^2*x/(c*x^2+a)^(3/2)-8/3*A*c/a^3*x/(c*x^2+a)^(1/2)+1/3*B/a/(c*x^2+a)^(3/2)+B/a^2/(c*x^2+a)^(1/2)-B/a^(5/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)","A"
381,1,134,105,0.059000," ","int((B*x+A)/x^3/(c*x^2+a)^(5/2),x)","-\frac{4 B c x}{3 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a^{2}}-\frac{5 A c}{6 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a^{2}}-\frac{8 B c x}{3 \sqrt{c \,x^{2}+a}\, a^{3}}+\frac{5 A c \ln \left(\frac{2 a +2 \sqrt{c \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{7}{2}}}-\frac{5 A c}{2 \sqrt{c \,x^{2}+a}\, a^{3}}-\frac{B}{\left(c \,x^{2}+a \right)^{\frac{3}{2}} a x}-\frac{A}{2 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a \,x^{2}}"," ",0,"-1/2*A/a/x^2/(c*x^2+a)^(3/2)-5/6*A*c/a^2/(c*x^2+a)^(3/2)-5/2*A*c/a^3/(c*x^2+a)^(1/2)+5/2*A*c/a^(7/2)*ln((2*a+2*(c*x^2+a)^(1/2)*a^(1/2))/x)-B/a/x/(c*x^2+a)^(3/2)-4/3*B*c/a^2*x/(c*x^2+a)^(3/2)-8/3*B*c/a^3*x/(c*x^2+a)^(1/2)","A"
382,1,52,59,0.052000," ","int((e*x+d)/(c*x^2+a)^(7/2),x)","-\frac{-8 c^{3} d \,x^{5}-20 c^{2} d \,x^{3} a -15 d x \,a^{2} c +3 a^{3} e}{15 \left(c \,x^{2}+a \right)^{\frac{5}{2}} a^{3} c}"," ",0,"-1/15*(-8*c^3*d*x^5-20*a*c^2*d*x^3-15*a^2*c*d*x+3*a^3*e)/(c*x^2+a)^(5/2)/a^3/c","A"
383,1,64,75,0.049000," ","int((e*x+d)/(c*x^2+a)^(9/2),x)","-\frac{-16 c^{4} d \,x^{7}-56 c^{3} d \,x^{5} a -70 c^{2} d \,x^{3} a^{2}-35 d x \,a^{3} c +5 e \,a^{4}}{35 \left(c \,x^{2}+a \right)^{\frac{7}{2}} a^{4} c}"," ",0,"-1/35*(-16*c^4*d*x^7-56*a*c^3*d*x^5-70*a^2*c^2*d*x^3-35*a^3*c*d*x+5*a^4*e)/(c*x^2+a)^(7/2)/a^4/c","A"
384,1,30,29,0.044000," ","int(x^(7/2)*(B*x+A)*(c*x^2+a),x)","\frac{2 \left(429 B c \,x^{3}+495 A c \,x^{2}+585 B a x +715 a A \right) x^{\frac{9}{2}}}{6435}"," ",0,"2/6435*x^(9/2)*(429*B*c*x^3+495*A*c*x^2+585*B*a*x+715*A*a)","A"
385,1,30,29,0.063000," ","int(x^(5/2)*(B*x+A)*(c*x^2+a),x)","\frac{2 \left(693 B c \,x^{3}+819 A c \,x^{2}+1001 B a x +1287 a A \right) x^{\frac{7}{2}}}{9009}"," ",0,"2/9009*x^(7/2)*(693*B*c*x^3+819*A*c*x^2+1001*B*a*x+1287*A*a)","A"
386,1,30,29,0.059000," ","int(x^(3/2)*(B*x+A)*(c*x^2+a),x)","\frac{2 \left(315 B c \,x^{3}+385 A c \,x^{2}+495 B a x +693 a A \right) x^{\frac{5}{2}}}{3465}"," ",0,"2/3465*x^(5/2)*(315*B*c*x^3+385*A*c*x^2+495*B*a*x+693*A*a)","A"
387,1,30,29,0.049000," ","int((B*x+A)*(c*x^2+a)*x^(1/2),x)","\frac{2 \left(35 B c \,x^{3}+45 A c \,x^{2}+63 B a x +105 a A \right) x^{\frac{3}{2}}}{315}"," ",0,"2/315*x^(3/2)*(35*B*c*x^3+45*A*c*x^2+63*B*a*x+105*A*a)","A"
388,1,30,29,0.041000," ","int((B*x+A)*(c*x^2+a)/x^(1/2),x)","\frac{2 \left(15 B c \,x^{3}+21 A c \,x^{2}+35 B a x +105 a A \right) \sqrt{x}}{105}"," ",0,"2/105*x^(1/2)*(15*B*c*x^3+21*A*c*x^2+35*B*a*x+105*A*a)","A"
389,1,30,29,0.043000," ","int((B*x+A)*(c*x^2+a)/x^(3/2),x)","-\frac{2 \left(-3 B c \,x^{3}-5 A c \,x^{2}-15 B a x +15 a A \right)}{15 \sqrt{x}}"," ",0,"-2/15*(-3*B*c*x^3-5*A*c*x^2-15*B*a*x+15*A*a)/x^(1/2)","A"
390,1,29,29,0.052000," ","int((B*x+A)*(c*x^2+a)/x^(5/2),x)","-\frac{2 \left(-B c \,x^{3}-3 A c \,x^{2}+3 B a x +a A \right)}{3 x^{\frac{3}{2}}}"," ",0,"-2/3*(-B*c*x^3-3*A*c*x^2+3*B*a*x+A*a)/x^(3/2)","A"
391,1,30,29,0.045000," ","int((B*x+A)*(c*x^2+a)/x^(7/2),x)","-\frac{2 \left(-15 B c \,x^{3}+15 A c \,x^{2}+5 B a x +3 a A \right)}{15 x^{\frac{5}{2}}}"," ",0,"-2/15*(-15*B*c*x^3+15*A*c*x^2+5*B*a*x+3*A*a)/x^(5/2)","A"
392,1,30,29,0.042000," ","int((B*x+A)*(c*x^2+a)/x^(9/2),x)","-\frac{2 \left(105 B c \,x^{3}+35 A c \,x^{2}+21 B a x +15 a A \right)}{105 x^{\frac{7}{2}}}"," ",0,"-2/105*(105*B*c*x^3+35*A*c*x^2+21*B*a*x+15*A*a)/x^(7/2)","A"
393,1,54,53,0.047000," ","int(x^(7/2)*(B*x+A)*(c*x^2+a)^2,x)","\frac{2 \left(109395 B \,c^{2} x^{5}+122265 A \,c^{2} x^{4}+277134 B a c \,x^{3}+319770 A a c \,x^{2}+188955 B \,a^{2} x +230945 A \,a^{2}\right) x^{\frac{9}{2}}}{2078505}"," ",0,"2/2078505*x^(9/2)*(109395*B*c^2*x^5+122265*A*c^2*x^4+277134*B*a*c*x^3+319770*A*a*c*x^2+188955*B*a^2*x+230945*A*a^2)","A"
394,1,54,53,0.049000," ","int(x^(5/2)*(B*x+A)*(c*x^2+a)^2,x)","\frac{2 \left(45045 B \,c^{2} x^{5}+51051 A \,c^{2} x^{4}+117810 B a c \,x^{3}+139230 A a c \,x^{2}+85085 B \,a^{2} x +109395 A \,a^{2}\right) x^{\frac{7}{2}}}{765765}"," ",0,"2/765765*x^(7/2)*(45045*B*c^2*x^5+51051*A*c^2*x^4+117810*B*a*c*x^3+139230*A*a*c*x^2+85085*B*a^2*x+109395*A*a^2)","A"
395,1,54,53,0.046000," ","int(x^(3/2)*(B*x+A)*(c*x^2+a)^2,x)","\frac{2 \left(3003 B \,c^{2} x^{5}+3465 A \,c^{2} x^{4}+8190 B a c \,x^{3}+10010 A a c \,x^{2}+6435 B \,a^{2} x +9009 A \,a^{2}\right) x^{\frac{5}{2}}}{45045}"," ",0,"2/45045*x^(5/2)*(3003*B*c^2*x^5+3465*A*c^2*x^4+8190*B*a*c*x^3+10010*A*a*c*x^2+6435*B*a^2*x+9009*A*a^2)","A"
396,1,54,53,0.052000," ","int((B*x+A)*(c*x^2+a)^2*x^(1/2),x)","\frac{2 \left(3465 B \,c^{2} x^{5}+4095 A \,c^{2} x^{4}+10010 B a c \,x^{3}+12870 A a c \,x^{2}+9009 B \,a^{2} x +15015 A \,a^{2}\right) x^{\frac{3}{2}}}{45045}"," ",0,"2/45045*x^(3/2)*(3465*B*c^2*x^5+4095*A*c^2*x^4+10010*B*a*c*x^3+12870*A*a*c*x^2+9009*B*a^2*x+15015*A*a^2)","A"
397,1,54,53,0.049000," ","int((B*x+A)*(c*x^2+a)^2/x^(1/2),x)","\frac{2 \left(315 B \,c^{2} x^{5}+385 A \,c^{2} x^{4}+990 B a c \,x^{3}+1386 A a c \,x^{2}+1155 B \,a^{2} x +3465 A \,a^{2}\right) \sqrt{x}}{3465}"," ",0,"2/3465*x^(1/2)*(315*B*c^2*x^5+385*A*c^2*x^4+990*B*a*c*x^3+1386*A*a*c*x^2+1155*B*a^2*x+3465*A*a^2)","A"
398,1,54,53,0.053000," ","int((B*x+A)*(c*x^2+a)^2/x^(3/2),x)","-\frac{2 \left(-35 B \,c^{2} x^{5}-45 A \,c^{2} x^{4}-126 B a c \,x^{3}-210 A a c \,x^{2}-315 B \,a^{2} x +315 A \,a^{2}\right)}{315 \sqrt{x}}"," ",0,"-2/315*(-35*B*c^2*x^5-45*A*c^2*x^4-126*B*a*c*x^3-210*A*a*c*x^2-315*B*a^2*x+315*A*a^2)/x^(1/2)","A"
399,1,54,53,0.047000," ","int((B*x+A)*(c*x^2+a)^2/x^(5/2),x)","-\frac{2 \left(-15 B \,c^{2} x^{5}-21 A \,c^{2} x^{4}-70 B a c \,x^{3}-210 A a c \,x^{2}+105 B \,a^{2} x +35 A \,a^{2}\right)}{105 x^{\frac{3}{2}}}"," ",0,"-2/105*(-15*B*c^2*x^5-21*A*c^2*x^4-70*B*a*c*x^3-210*A*a*c*x^2+105*B*a^2*x+35*A*a^2)/x^(3/2)","A"
400,1,54,53,0.049000," ","int((B*x+A)*(c*x^2+a)^2/x^(7/2),x)","-\frac{2 \left(-3 B \,c^{2} x^{5}-5 A \,c^{2} x^{4}-30 B a c \,x^{3}+30 A a c \,x^{2}+5 B \,a^{2} x +3 A \,a^{2}\right)}{15 x^{\frac{5}{2}}}"," ",0,"-2/15*(-3*B*c^2*x^5-5*A*c^2*x^4-30*B*a*c*x^3+30*A*a*c*x^2+5*B*a^2*x+3*A*a^2)/x^(5/2)","A"
401,1,54,53,0.046000," ","int((B*x+A)*(c*x^2+a)^2/x^(9/2),x)","-\frac{2 \left(-35 B \,c^{2} x^{5}-105 A \,c^{2} x^{4}+210 B a c \,x^{3}+70 A a c \,x^{2}+21 B \,a^{2} x +15 A \,a^{2}\right)}{105 x^{\frac{7}{2}}}"," ",0,"-2/105*(-35*B*c^2*x^5-105*A*c^2*x^4+210*B*a*c*x^3+70*A*a*c*x^2+21*B*a^2*x+15*A*a^2)/x^(7/2)","A"
402,1,78,77,0.048000," ","int(x^(7/2)*(B*x+A)*(c*x^2+a)^3,x)","\frac{2 \left(14549535 B \,c^{3} x^{7}+15935205 A \,c^{3} x^{6}+52837785 B a \,c^{2} x^{5}+59053995 A a \,c^{2} x^{4}+66927861 B \,a^{2} c \,x^{3}+77224455 A \,a^{2} c \,x^{2}+30421755 B \,a^{3} x +37182145 A \,a^{3}\right) x^{\frac{9}{2}}}{334639305}"," ",0,"2/334639305*x^(9/2)*(14549535*B*c^3*x^7+15935205*A*c^3*x^6+52837785*B*a*c^2*x^5+59053995*A*a*c^2*x^4+66927861*B*a^2*c*x^3+77224455*A*a^2*c*x^2+30421755*B*a^3*x+37182145*A*a^3)","A"
403,1,78,77,0.049000," ","int(x^(5/2)*(B*x+A)*(c*x^2+a)^3,x)","\frac{2 \left(692835 B \,c^{3} x^{7}+765765 A \,c^{3} x^{6}+2567565 B a \,c^{2} x^{5}+2909907 A a \,c^{2} x^{4}+3357585 B \,a^{2} c \,x^{3}+3968055 A \,a^{2} c \,x^{2}+1616615 B \,a^{3} x +2078505 A \,a^{3}\right) x^{\frac{7}{2}}}{14549535}"," ",0,"2/14549535*x^(7/2)*(692835*B*c^3*x^7+765765*A*c^3*x^6+2567565*B*a*c^2*x^5+2909907*A*a*c^2*x^4+3357585*B*a^2*c*x^3+3968055*A*a^2*c*x^2+1616615*B*a^3*x+2078505*A*a^3)","A"
404,1,78,77,0.048000," ","int(x^(3/2)*(B*x+A)*(c*x^2+a)^3,x)","\frac{2 \left(255255 B \,c^{3} x^{7}+285285 A \,c^{3} x^{6}+969969 B a \,c^{2} x^{5}+1119195 A a \,c^{2} x^{4}+1322685 B \,a^{2} c \,x^{3}+1616615 A \,a^{2} c \,x^{2}+692835 B \,a^{3} x +969969 A \,a^{3}\right) x^{\frac{5}{2}}}{4849845}"," ",0,"2/4849845*x^(5/2)*(255255*B*c^3*x^7+285285*A*c^3*x^6+969969*B*a*c^2*x^5+1119195*A*a*c^2*x^4+1322685*B*a^2*c*x^3+1616615*A*a^2*c*x^2+692835*B*a^3*x+969969*A*a^3)","A"
405,1,78,77,0.046000," ","int((B*x+A)*(c*x^2+a)^3*x^(1/2),x)","\frac{2 \left(15015 B \,c^{3} x^{7}+17017 A \,c^{3} x^{6}+58905 B a \,c^{2} x^{5}+69615 A a \,c^{2} x^{4}+85085 B \,a^{2} c \,x^{3}+109395 A \,a^{2} c \,x^{2}+51051 B \,a^{3} x +85085 A \,a^{3}\right) x^{\frac{3}{2}}}{255255}"," ",0,"2/255255*x^(3/2)*(15015*B*c^3*x^7+17017*A*c^3*x^6+58905*B*a*c^2*x^5+69615*A*a*c^2*x^4+85085*B*a^2*c*x^3+109395*A*a^2*c*x^2+51051*B*a^3*x+85085*A*a^3)","A"
406,1,78,77,0.049000," ","int((B*x+A)*(c*x^2+a)^3/x^(1/2),x)","\frac{2 \left(1001 B \,c^{3} x^{7}+1155 A \,c^{3} x^{6}+4095 B a \,c^{2} x^{5}+5005 A a \,c^{2} x^{4}+6435 B \,a^{2} c \,x^{3}+9009 A \,a^{2} c \,x^{2}+5005 B \,a^{3} x +15015 A \,a^{3}\right) \sqrt{x}}{15015}"," ",0,"2/15015*x^(1/2)*(1001*B*c^3*x^7+1155*A*c^3*x^6+4095*B*a*c^2*x^5+5005*A*a*c^2*x^4+6435*B*a^2*c*x^3+9009*A*a^2*c*x^2+5005*B*a^3*x+15015*A*a^3)","A"
407,1,78,77,0.047000," ","int((B*x+A)*(c*x^2+a)^3/x^(3/2),x)","-\frac{2 \left(-1155 B \,c^{3} x^{7}-1365 A \,c^{3} x^{6}-5005 B a \,c^{2} x^{5}-6435 A a \,c^{2} x^{4}-9009 B \,a^{2} c \,x^{3}-15015 A \,a^{2} c \,x^{2}-15015 B \,a^{3} x +15015 A \,a^{3}\right)}{15015 \sqrt{x}}"," ",0,"-2/15015*(-1155*B*c^3*x^7-1365*A*c^3*x^6-5005*B*a*c^2*x^5-6435*A*a*c^2*x^4-9009*B*a^2*c*x^3-15015*A*a^2*c*x^2-15015*B*a^3*x+15015*A*a^3)/x^(1/2)","A"
408,1,78,77,0.070000," ","int((B*x+A)*(c*x^2+a)^3/x^(5/2),x)","-\frac{2 \left(-315 B \,c^{3} x^{7}-385 A \,c^{3} x^{6}-1485 B a \,c^{2} x^{5}-2079 A a \,c^{2} x^{4}-3465 B \,a^{2} c \,x^{3}-10395 A \,a^{2} c \,x^{2}+3465 B \,a^{3} x +1155 A \,a^{3}\right)}{3465 x^{\frac{3}{2}}}"," ",0,"-2/3465*(-315*B*c^3*x^7-385*A*c^3*x^6-1485*B*a*c^2*x^5-2079*A*a*c^2*x^4-3465*B*a^2*c*x^3-10395*A*a^2*c*x^2+3465*B*a^3*x+1155*A*a^3)/x^(3/2)","A"
409,1,78,77,0.048000," ","int((B*x+A)*(c*x^2+a)^3/x^(7/2),x)","-\frac{2 \left(-35 B \,c^{3} x^{7}-45 A \,c^{3} x^{6}-189 B a \,c^{2} x^{5}-315 A a \,c^{2} x^{4}-945 B \,a^{2} c \,x^{3}+945 A \,a^{2} c \,x^{2}+105 B \,a^{3} x +63 A \,a^{3}\right)}{315 x^{\frac{5}{2}}}"," ",0,"-2/315*(-35*B*c^3*x^7-45*A*c^3*x^6-189*B*a*c^2*x^5-315*A*a*c^2*x^4-945*B*a^2*c*x^3+945*A*a^2*c*x^2+105*B*a^3*x+63*A*a^3)/x^(5/2)","A"
410,1,78,77,0.047000," ","int((B*x+A)*(c*x^2+a)^3/x^(9/2),x)","-\frac{2 \left(-5 B \,c^{3} x^{7}-7 A \,c^{3} x^{6}-35 B a \,c^{2} x^{5}-105 A a \,c^{2} x^{4}+105 B \,a^{2} c \,x^{3}+35 A \,a^{2} c \,x^{2}+7 B \,a^{3} x +5 A \,a^{3}\right)}{35 x^{\frac{7}{2}}}"," ",0,"-2/35*(-5*B*c^3*x^7-7*A*c^3*x^6-35*B*a*c^2*x^5-105*A*a*c^2*x^4+105*B*a^2*c*x^3+35*A*a^2*c*x^2+7*B*a^3*x+5*A*a^3)/x^(7/2)","A"
411,1,78,77,0.051000," ","int((B*x+A)*(c*x^2+a)^3/x^(11/2),x)","-\frac{2 \left(-63 B \,c^{3} x^{7}-105 A \,c^{3} x^{6}-945 B a \,c^{2} x^{5}+945 A a \,c^{2} x^{4}+315 B \,a^{2} c \,x^{3}+189 A \,a^{2} c \,x^{2}+45 B \,a^{3} x +35 A \,a^{3}\right)}{315 x^{\frac{9}{2}}}"," ",0,"-2/315*(-63*B*c^3*x^7-105*A*c^3*x^6-945*B*a*c^2*x^5+945*A*a*c^2*x^4+315*B*a^2*c*x^3+189*A*a^2*c*x^2+45*B*a^3*x+35*A*a^3)/x^(9/2)","A"
412,1,302,199,0.059000," ","int(x^(5/2)*(B*x+A)/(c*x^2+a),x)","\frac{2 B \,x^{\frac{5}{2}}}{5 c}+\frac{2 A \,x^{\frac{3}{2}}}{3 c}-\frac{\sqrt{2}\, A a \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{2 \left(\frac{a}{c}\right)^{\frac{1}{4}} c^{2}}-\frac{\sqrt{2}\, A a \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{2 \left(\frac{a}{c}\right)^{\frac{1}{4}} c^{2}}-\frac{\sqrt{2}\, A a \ln \left(\frac{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{4 \left(\frac{a}{c}\right)^{\frac{1}{4}} c^{2}}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B a \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{2 c^{2}}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B a \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{2 c^{2}}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B a \ln \left(\frac{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{4 c^{2}}-\frac{2 B a \sqrt{x}}{c^{2}}"," ",0,"2/5*B/c*x^(5/2)+2/3*A/c*x^(3/2)-2*a*B*x^(1/2)/c^2+1/2*a/c^2*B*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)+1/4*a/c^2*B*(a/c)^(1/4)*2^(1/2)*ln((x+(a/c)^(1/4)*x^(1/2)*2^(1/2)+(a/c)^(1/2))/(x-(a/c)^(1/4)*x^(1/2)*2^(1/2)+(a/c)^(1/2)))+1/2*a/c^2*B*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)-1/4*a/c^2*A/(a/c)^(1/4)*2^(1/2)*ln((x-(a/c)^(1/4)*x^(1/2)*2^(1/2)+(a/c)^(1/2))/(x+(a/c)^(1/4)*x^(1/2)*2^(1/2)+(a/c)^(1/2)))-1/2*a/c^2*A/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)-1/2*a/c^2*A/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)","A"
413,1,289,189,0.052000," ","int(x^(3/2)*(B*x+A)/(c*x^2+a),x)","\frac{2 B \,x^{\frac{3}{2}}}{3 c}-\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{2 c}-\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{2 c}-\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \ln \left(\frac{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{4 c}-\frac{\sqrt{2}\, B a \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{2 \left(\frac{a}{c}\right)^{\frac{1}{4}} c^{2}}-\frac{\sqrt{2}\, B a \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{2 \left(\frac{a}{c}\right)^{\frac{1}{4}} c^{2}}-\frac{\sqrt{2}\, B a \ln \left(\frac{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{4 \left(\frac{a}{c}\right)^{\frac{1}{4}} c^{2}}+\frac{2 A \sqrt{x}}{c}"," ",0,"2/3*B/c*x^(3/2)+2*A/c*x^(1/2)-1/4/c*A*(a/c)^(1/4)*2^(1/2)*ln((x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))-1/2/c*A*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)-1/2/c*A*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)-1/4*a/c^2*B/(a/c)^(1/4)*2^(1/2)*ln((x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))-1/2*a/c^2*B/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)-1/2*a/c^2*B/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)","A"
414,1,277,180,0.048000," ","int(x^(1/2)*(B*x+A)/(c*x^2+a),x)","\frac{\sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{2 \left(\frac{a}{c}\right)^{\frac{1}{4}} c}+\frac{\sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{2 \left(\frac{a}{c}\right)^{\frac{1}{4}} c}+\frac{\sqrt{2}\, A \ln \left(\frac{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{4 \left(\frac{a}{c}\right)^{\frac{1}{4}} c}-\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{2 c}-\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{2 c}-\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \ln \left(\frac{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{4 c}+\frac{2 B \sqrt{x}}{c}"," ",0,"2*B/c*x^(1/2)-1/4/c*B*(a/c)^(1/4)*2^(1/2)*ln((x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))-1/2/c*B*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)-1/2/c*B*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+1/4/c*A/(a/c)^(1/4)*2^(1/2)*ln((x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+1/2/c*A/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+1/2/c*A/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)","A"
415,1,268,171,0.068000," ","int((B*x+A)/x^(1/2)/(c*x^2+a),x)","\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{2 a}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{2 a}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \ln \left(\frac{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{4 a}+\frac{\sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{2 \left(\frac{a}{c}\right)^{\frac{1}{4}} c}+\frac{\sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{2 \left(\frac{a}{c}\right)^{\frac{1}{4}} c}+\frac{\sqrt{2}\, B \ln \left(\frac{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{4 \left(\frac{a}{c}\right)^{\frac{1}{4}} c}"," ",0,"1/4*A*(a/c)^(1/4)/a*2^(1/2)*ln((x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+1/2*A*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+1/2*A*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)+1/4*B/c/(a/c)^(1/4)*2^(1/2)*ln((x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+1/2*B/c/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+1/2*B/c/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)","A"
416,1,277,180,0.057000," ","int((B*x+A)/x^(3/2)/(c*x^2+a),x)","-\frac{\sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{2 \left(\frac{a}{c}\right)^{\frac{1}{4}} a}-\frac{\sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{2 \left(\frac{a}{c}\right)^{\frac{1}{4}} a}-\frac{\sqrt{2}\, A \ln \left(\frac{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{4 \left(\frac{a}{c}\right)^{\frac{1}{4}} a}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{2 a}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{2 a}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \ln \left(\frac{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{4 a}-\frac{2 A}{a \sqrt{x}}"," ",0,"1/4/a*B*(a/c)^(1/4)*2^(1/2)*ln((x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+1/2/a*B*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+1/2/a*B*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)-1/4/a*A/(a/c)^(1/4)*2^(1/2)*ln((x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))-1/2/a*A/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)-1/2/a*A/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)-2*A/a/x^(1/2)","A"
417,1,289,189,0.054000," ","int((B*x+A)/x^(5/2)/(c*x^2+a),x)","-\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{2 a^{2}}-\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{2 a^{2}}-\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A c \ln \left(\frac{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{4 a^{2}}-\frac{\sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{2 \left(\frac{a}{c}\right)^{\frac{1}{4}} a}-\frac{\sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{2 \left(\frac{a}{c}\right)^{\frac{1}{4}} a}-\frac{\sqrt{2}\, B \ln \left(\frac{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{4 \left(\frac{a}{c}\right)^{\frac{1}{4}} a}-\frac{2 B}{a \sqrt{x}}-\frac{2 A}{3 a \,x^{\frac{3}{2}}}"," ",0,"-1/4*c/a^2*A*(a/c)^(1/4)*2^(1/2)*ln((x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))-1/2*c/a^2*A*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)-1/2*c/a^2*A*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)-1/4/a*B/(a/c)^(1/4)*2^(1/2)*ln((x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))-1/2/a*B/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)-1/2/a*B/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)-2/3*A/a/x^(3/2)-2*B/a/x^(1/2)","A"
418,1,302,199,0.056000," ","int((B*x+A)/x^(7/2)/(c*x^2+a),x)","\frac{\sqrt{2}\, A c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{2 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2}}+\frac{\sqrt{2}\, A c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{2 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2}}+\frac{\sqrt{2}\, A c \ln \left(\frac{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{4 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2}}-\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{2 a^{2}}-\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{2 a^{2}}-\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B c \ln \left(\frac{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{4 a^{2}}+\frac{2 A c}{a^{2} \sqrt{x}}-\frac{2 B}{3 a \,x^{\frac{3}{2}}}-\frac{2 A}{5 a \,x^{\frac{5}{2}}}"," ",0,"-1/2*c/a^2*B*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)-1/2*c/a^2*B*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)-1/4*c/a^2*B*(a/c)^(1/4)*2^(1/2)*ln((x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+1/4*c/a^2*A/(a/c)^(1/4)*2^(1/2)*ln((x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+1/2*c/a^2*A/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+1/2*c/a^2*A/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)-2/5*A/a/x^(5/2)-2/3*B/a/x^(3/2)+2*A*c/a^2/x^(1/2)","A"
419,1,318,209,0.070000," ","int((B*x+A)/x^(9/2)/(c*x^2+a),x)","\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \,c^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{2 a^{3}}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \,c^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{2 a^{3}}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \,c^{2} \ln \left(\frac{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{4 a^{3}}+\frac{\sqrt{2}\, B c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{2 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2}}+\frac{\sqrt{2}\, B c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{2 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2}}+\frac{\sqrt{2}\, B c \ln \left(\frac{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{4 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2}}+\frac{2 B c}{a^{2} \sqrt{x}}+\frac{2 A c}{3 a^{2} x^{\frac{3}{2}}}-\frac{2 B}{5 a \,x^{\frac{5}{2}}}-\frac{2 A}{7 a \,x^{\frac{7}{2}}}"," ",0,"1/4*c^2/a^3*A*(a/c)^(1/4)*2^(1/2)*ln((x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+1/2*c^2/a^3*A*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+1/2*c^2/a^3*A*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)+1/4*c/a^2*B/(a/c)^(1/4)*2^(1/2)*ln((x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+1/2*c/a^2*B/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+1/2*c/a^2*B/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)-2/7*A/a/x^(7/2)-2/5*B/a/x^(5/2)+2/3*A*c/a^2/x^(3/2)+2*B*c/a^2/x^(1/2)","A"
420,1,314,208,0.075000," ","int(x^(5/2)*(B*x+A)/(c*x^2+a)^2,x)","-\frac{A \,x^{\frac{3}{2}}}{2 \left(c \,x^{2}+a \right) c}+\frac{B a \sqrt{x}}{2 \left(c \,x^{2}+a \right) c^{2}}+\frac{3 \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{8 \left(\frac{a}{c}\right)^{\frac{1}{4}} c^{2}}+\frac{3 \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{8 \left(\frac{a}{c}\right)^{\frac{1}{4}} c^{2}}+\frac{3 \sqrt{2}\, A \ln \left(\frac{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{16 \left(\frac{a}{c}\right)^{\frac{1}{4}} c^{2}}-\frac{5 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{8 c^{2}}-\frac{5 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{8 c^{2}}-\frac{5 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \ln \left(\frac{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{16 c^{2}}+\frac{2 B \sqrt{x}}{c^{2}}"," ",0,"2*B/c^2*x^(1/2)-1/2/c/(c*x^2+a)*A*x^(3/2)+1/2/c^2/(c*x^2+a)*B*a*x^(1/2)-5/8/c^2*B*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)-5/16/c^2*B*(a/c)^(1/4)*2^(1/2)*ln((x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))-5/8/c^2*B*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+3/16/c^2*A/(a/c)^(1/4)*2^(1/2)*ln((x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+3/8/c^2*A/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+3/8/c^2*A/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)","A"
421,1,307,197,0.075000," ","int(x^(3/2)*(B*x+A)/(c*x^2+a)^2,x)","\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{8 a c}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{8 a c}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \ln \left(\frac{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{16 a c}+\frac{3 \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{8 \left(\frac{a}{c}\right)^{\frac{1}{4}} c^{2}}+\frac{3 \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{8 \left(\frac{a}{c}\right)^{\frac{1}{4}} c^{2}}+\frac{3 \sqrt{2}\, B \ln \left(\frac{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{16 \left(\frac{a}{c}\right)^{\frac{1}{4}} c^{2}}+\frac{-\frac{B \,x^{\frac{3}{2}}}{2 c}-\frac{A \sqrt{x}}{2 c}}{c \,x^{2}+a}"," ",0,"2*(-1/4*B/c*x^(3/2)-1/4*A/c*x^(1/2))/(c*x^2+a)+1/16/c*A*(a/c)^(1/4)/a*2^(1/2)*ln((x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+1/8/c*A*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+1/8/c*A*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)+3/16/c^2*B/(a/c)^(1/4)*2^(1/2)*ln((x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+3/8/c^2*B/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+3/8/c^2*B/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)","A"
422,1,316,200,0.054000," ","int(x^(1/2)*(B*x+A)/(c*x^2+a)^2,x)","\frac{\sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{8 \left(\frac{a}{c}\right)^{\frac{1}{4}} a c}+\frac{\sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{8 \left(\frac{a}{c}\right)^{\frac{1}{4}} a c}+\frac{\sqrt{2}\, A \ln \left(\frac{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{16 \left(\frac{a}{c}\right)^{\frac{1}{4}} a c}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{8 a c}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{8 a c}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \ln \left(\frac{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{16 a c}+\frac{\frac{A \,x^{\frac{3}{2}}}{2 a}-\frac{B \sqrt{x}}{2 c}}{c \,x^{2}+a}"," ",0,"2*(1/4*A/a*x^(3/2)-1/4*B/c*x^(1/2))/(c*x^2+a)+1/8/a/c*B*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+1/8/a/c*B*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)+1/16/a/c*B*(a/c)^(1/4)*2^(1/2)*ln((x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+1/16/a/c*A/(a/c)^(1/4)*2^(1/2)*ln((x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+1/8/a/c*A/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+1/8/a/c*A/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)","A"
423,1,313,195,0.066000," ","int((B*x+A)/x^(1/2)/(c*x^2+a)^2,x)","\frac{B \,x^{\frac{3}{2}}}{2 \left(c \,x^{2}+a \right) a}+\frac{A \sqrt{x}}{2 \left(c \,x^{2}+a \right) a}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{8 a^{2}}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{8 a^{2}}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \ln \left(\frac{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{16 a^{2}}+\frac{\sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{8 \left(\frac{a}{c}\right)^{\frac{1}{4}} a c}+\frac{\sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{8 \left(\frac{a}{c}\right)^{\frac{1}{4}} a c}+\frac{\sqrt{2}\, B \ln \left(\frac{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{16 \left(\frac{a}{c}\right)^{\frac{1}{4}} a c}"," ",0,"1/2*A*x^(1/2)/a/(c*x^2+a)+3/16*A/a^2*(a/c)^(1/4)*2^(1/2)*ln((x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+3/8*A/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+3/8*A/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)+1/2*B*x^(3/2)/a/(c*x^2+a)+1/16*B/a/c/(a/c)^(1/4)*2^(1/2)*ln((x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+1/8*B/a/c/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+1/8*B/a/c/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)","A"
424,1,314,208,0.076000," ","int((B*x+A)/x^(3/2)/(c*x^2+a)^2,x)","-\frac{A c \,x^{\frac{3}{2}}}{2 \left(c \,x^{2}+a \right) a^{2}}+\frac{B \sqrt{x}}{2 \left(c \,x^{2}+a \right) a}-\frac{5 \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{8 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2}}-\frac{5 \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{8 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2}}-\frac{5 \sqrt{2}\, A \ln \left(\frac{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{16 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2}}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{8 a^{2}}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{8 a^{2}}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \ln \left(\frac{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{16 a^{2}}-\frac{2 A}{a^{2} \sqrt{x}}"," ",0,"-1/2/a^2/(c*x^2+a)*A*x^(3/2)*c+1/2/a/(c*x^2+a)*B*x^(1/2)+3/8/a^2*B*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)+3/16/a^2*B*(a/c)^(1/4)*2^(1/2)*ln((x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+3/8/a^2*B*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)-5/16/a^2*A/(a/c)^(1/4)*2^(1/2)*ln((x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))-5/8/a^2*A/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)-5/8/a^2*A/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)-2*A/a^2/x^(1/2)","A"
425,1,327,217,0.112000," ","int((B*x+A)/x^(5/2)/(c*x^2+a)^2,x)","-\frac{B c \,x^{\frac{3}{2}}}{2 \left(c \,x^{2}+a \right) a^{2}}-\frac{A c \sqrt{x}}{2 \left(c \,x^{2}+a \right) a^{2}}-\frac{7 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{8 a^{3}}-\frac{7 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{8 a^{3}}-\frac{7 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A c \ln \left(\frac{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{16 a^{3}}-\frac{5 \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{8 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2}}-\frac{5 \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{8 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2}}-\frac{5 \sqrt{2}\, B \ln \left(\frac{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{16 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2}}-\frac{2 B}{a^{2} \sqrt{x}}-\frac{2 A}{3 a^{2} x^{\frac{3}{2}}}"," ",0,"-1/2*c/a^2/(c*x^2+a)*B*x^(3/2)-1/2*c/a^2/(c*x^2+a)*A*x^(1/2)-7/16*c/a^3*A*(a/c)^(1/4)*2^(1/2)*ln((x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))-7/8*c/a^3*A*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)-7/8*c/a^3*A*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)-5/16/a^2*B/(a/c)^(1/4)*2^(1/2)*ln((x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))-5/8/a^2*B/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)-5/8/a^2*B/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)-2/3*A/a^2/x^(3/2)-2*B/a^2/x^(1/2)","A"
426,1,327,224,0.061000," ","int(x^(7/2)*(B*x+A)/(c*x^2+a)^3,x)","\frac{5 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{64 a \,c^{2}}+\frac{5 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{64 a \,c^{2}}+\frac{5 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \ln \left(\frac{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{128 a \,c^{2}}+\frac{21 \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{64 \left(\frac{a}{c}\right)^{\frac{1}{4}} c^{3}}+\frac{21 \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{64 \left(\frac{a}{c}\right)^{\frac{1}{4}} c^{3}}+\frac{21 \sqrt{2}\, B \ln \left(\frac{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{128 \left(\frac{a}{c}\right)^{\frac{1}{4}} c^{3}}+\frac{-\frac{11 B \,x^{\frac{7}{2}}}{16 c}-\frac{9 A \,x^{\frac{5}{2}}}{16 c}-\frac{7 B a \,x^{\frac{3}{2}}}{16 c^{2}}-\frac{5 A a \sqrt{x}}{16 c^{2}}}{\left(c \,x^{2}+a \right)^{2}}"," ",0,"2*(-11/32*B/c*x^(7/2)-9/32*A/c*x^(5/2)-7/32*B*a/c^2*x^(3/2)-5/32*a*A/c^2*x^(1/2))/(c*x^2+a)^2+5/128/c^2*A*(a/c)^(1/4)/a*2^(1/2)*ln((x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+5/64/c^2*A*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+5/64/c^2*A*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)+21/128/c^3*B/(a/c)^(1/4)*2^(1/2)*ln((x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+21/64/c^3*B/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+21/64/c^3*B/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)","A"
427,1,335,229,0.058000," ","int(x^(5/2)*(B*x+A)/(c*x^2+a)^3,x)","\frac{3 \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{64 \left(\frac{a}{c}\right)^{\frac{1}{4}} a \,c^{2}}+\frac{3 \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{64 \left(\frac{a}{c}\right)^{\frac{1}{4}} a \,c^{2}}+\frac{3 \sqrt{2}\, A \ln \left(\frac{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{128 \left(\frac{a}{c}\right)^{\frac{1}{4}} a \,c^{2}}+\frac{5 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{64 a \,c^{2}}+\frac{5 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{64 a \,c^{2}}+\frac{5 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \ln \left(\frac{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{128 a \,c^{2}}+\frac{\frac{3 A \,x^{\frac{7}{2}}}{16 a}-\frac{9 B \,x^{\frac{5}{2}}}{16 c}-\frac{A \,x^{\frac{3}{2}}}{16 c}-\frac{5 B a \sqrt{x}}{16 c^{2}}}{\left(c \,x^{2}+a \right)^{2}}"," ",0,"2*(3/32*A/a*x^(7/2)-9/32*B/c*x^(5/2)-1/32*A/c*x^(3/2)-5/32*B*a/c^2*x^(1/2))/(c*x^2+a)^2+5/64/a/c^2*B*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)+5/128/a/c^2*B*(a/c)^(1/4)*2^(1/2)*ln((x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+5/64/a/c^2*B*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+3/128/a/c^2*A/(a/c)^(1/4)*2^(1/2)*ln((x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+3/64/a/c^2*A/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+3/64/a/c^2*A/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)","A"
428,1,334,219,0.061000," ","int(x^(3/2)*(B*x+A)/(c*x^2+a)^3,x)","\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{64 a^{2} c}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{64 a^{2} c}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \ln \left(\frac{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{128 a^{2} c}+\frac{3 \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{64 \left(\frac{a}{c}\right)^{\frac{1}{4}} a \,c^{2}}+\frac{3 \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{64 \left(\frac{a}{c}\right)^{\frac{1}{4}} a \,c^{2}}+\frac{3 \sqrt{2}\, B \ln \left(\frac{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{128 \left(\frac{a}{c}\right)^{\frac{1}{4}} a \,c^{2}}+\frac{\frac{3 B \,x^{\frac{7}{2}}}{16 a}+\frac{A \,x^{\frac{5}{2}}}{16 a}-\frac{B \,x^{\frac{3}{2}}}{16 c}-\frac{3 A \sqrt{x}}{16 c}}{\left(c \,x^{2}+a \right)^{2}}"," ",0,"2*(3/32*B/a*x^(7/2)+1/32*A/a*x^(5/2)-1/32*B/c*x^(3/2)-3/32*A/c*x^(1/2))/(c*x^2+a)^2+3/128/a^2/c*A*(a/c)^(1/4)*2^(1/2)*ln((x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+3/64/a^2/c*A*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+3/64/a^2/c*A*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)+3/128/a/c^2*B/(a/c)^(1/4)*2^(1/2)*ln((x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+3/64/a/c^2*B/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+3/64/a/c^2*B/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)","A"
429,1,335,235,0.067000," ","int(x^(1/2)*(B*x+A)/(c*x^2+a)^3,x)","\frac{5 \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{64 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2} c}+\frac{5 \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{64 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2} c}+\frac{5 \sqrt{2}\, A \ln \left(\frac{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{128 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2} c}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{64 a^{2} c}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{64 a^{2} c}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \ln \left(\frac{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{128 a^{2} c}+\frac{\frac{5 A c \,x^{\frac{7}{2}}}{16 a^{2}}+\frac{B \,x^{\frac{5}{2}}}{16 a}+\frac{9 A \,x^{\frac{3}{2}}}{16 a}-\frac{3 B \sqrt{x}}{16 c}}{\left(c \,x^{2}+a \right)^{2}}"," ",0,"2*(5/32*A*c/a^2*x^(7/2)+1/32*B/a*x^(5/2)+9/32*A/a*x^(3/2)-3/32*B/c*x^(1/2))/(c*x^2+a)^2+3/64/a^2/c*B*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)+3/128/a^2/c*B*(a/c)^(1/4)*2^(1/2)*ln((x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+3/64/a^2/c*B*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+5/128/a^2/c*A/(a/c)^(1/4)*2^(1/2)*ln((x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+5/64/a^2/c*A/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+5/64/a^2/c*A/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)","A"
430,1,349,224,0.056000," ","int((B*x+A)/x^(1/2)/(c*x^2+a)^3,x)","\frac{B \,x^{\frac{3}{2}}}{4 \left(c \,x^{2}+a \right)^{2} a}+\frac{A \sqrt{x}}{4 \left(c \,x^{2}+a \right)^{2} a}+\frac{5 B \,x^{\frac{3}{2}}}{16 \left(c \,x^{2}+a \right) a^{2}}+\frac{7 A \sqrt{x}}{16 \left(c \,x^{2}+a \right) a^{2}}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{64 a^{3}}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{64 a^{3}}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \ln \left(\frac{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{128 a^{3}}+\frac{5 \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{64 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2} c}+\frac{5 \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{64 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2} c}+\frac{5 \sqrt{2}\, B \ln \left(\frac{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{128 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2} c}"," ",0,"1/4*A*x^(1/2)/a/(c*x^2+a)^2+7/16*A/a^2*x^(1/2)/(c*x^2+a)+21/128*A/a^3*(a/c)^(1/4)*2^(1/2)*ln((x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+21/64*A/a^3*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+21/64*A/a^3*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)+1/4*B*x^(3/2)/a/(c*x^2+a)^2+5/16*B/a^2*x^(3/2)/(c*x^2+a)+5/128*B/a^2/c/(a/c)^(1/4)*2^(1/2)*ln((x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))+5/64*B/a^2/c/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+5/64*B/a^2/c/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)","A"
431,1,354,233,0.064000," ","int((B*x+A)/x^(3/2)/(c*x^2+a)^3,x)","-\frac{13 A \,c^{2} x^{\frac{7}{2}}}{16 \left(c \,x^{2}+a \right)^{2} a^{3}}+\frac{7 B c \,x^{\frac{5}{2}}}{16 \left(c \,x^{2}+a \right)^{2} a^{2}}-\frac{17 A c \,x^{\frac{3}{2}}}{16 \left(c \,x^{2}+a \right)^{2} a^{2}}+\frac{11 B \sqrt{x}}{16 \left(c \,x^{2}+a \right)^{2} a}-\frac{45 \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{64 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{3}}-\frac{45 \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{64 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{3}}-\frac{45 \sqrt{2}\, A \ln \left(\frac{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{128 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{3}}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{64 a^{3}}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{64 a^{3}}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \ln \left(\frac{x +\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}{x -\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{c}}}\right)}{128 a^{3}}-\frac{2 A}{a^{3} \sqrt{x}}"," ",0,"-13/16/a^3/(c*x^2+a)^2*A*x^(7/2)*c^2+7/16/a^2/(c*x^2+a)^2*B*x^(5/2)*c-17/16/a^2/(c*x^2+a)^2*A*x^(3/2)*c+11/16/a/(c*x^2+a)^2*B*x^(1/2)+21/64/a^3*B*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)+21/64/a^3*B*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)+21/128/a^3*B*(a/c)^(1/4)*2^(1/2)*ln((x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))-45/128/a^3*A/(a/c)^(1/4)*2^(1/2)*ln((x-(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2))/(x+(a/c)^(1/4)*2^(1/2)*x^(1/2)+(a/c)^(1/2)))-45/64/a^3*A/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)+1)-45/64/a^3*A/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x^(1/2)-1)-2*A/a^3/x^(1/2)","A"
432,1,62,34,0.048000," ","int((-x+1)/(x^2+1)/x^(1/2),x)","-\frac{\sqrt{2}\, \ln \left(\frac{x -\sqrt{2}\, \sqrt{x}+1}{x +\sqrt{2}\, \sqrt{x}+1}\right)}{4}+\frac{\sqrt{2}\, \ln \left(\frac{x +\sqrt{2}\, \sqrt{x}+1}{x -\sqrt{2}\, \sqrt{x}+1}\right)}{4}"," ",0,"1/4*2^(1/2)*ln((1+x+2^(1/2)*x^(1/2))/(1+x-2^(1/2)*x^(1/2)))-1/4*2^(1/2)*ln((1+x-2^(1/2)*x^(1/2))/(1+x+2^(1/2)*x^(1/2)))","A"
433,1,368,399,0.237000," ","int((e*x)^(7/2)*(B*x+A)*(c*x^2+a)^(1/2),x)","\frac{2 \sqrt{e x}\, \left(3465 B \,c^{4} x^{8}+4095 A \,c^{4} x^{7}+4235 B a \,c^{3} x^{6}+5265 A a \,c^{3} x^{5}-308 B \,a^{2} c^{2} x^{4}-780 A \,a^{2} c^{2} x^{3}-1078 B \,a^{3} c \,x^{2}-1950 A \,a^{3} c x +3234 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B \,a^{4} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-1617 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B \,a^{4} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+975 \sqrt{2}\, \sqrt{-a c}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A \,a^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right) e^{3}}{45045 \sqrt{c \,x^{2}+a}\, c^{3} x}"," ",0,"2/45045*e^3/x*(e*x)^(1/2)/(c*x^2+a)^(1/2)/c^3*(3465*B*c^4*x^8+4095*A*c^4*x^7+4235*B*a*c^3*x^6+975*A*2^(1/2)*(-a*c)^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-x*c/(-a*c)^(1/2))^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^3+5265*A*a*c^3*x^5+3234*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-x*c/(-a*c)^(1/2))^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^4-1617*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-x*c/(-a*c)^(1/2))^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^4-308*B*a^2*c^2*x^4-780*A*a^2*c^2*x^3-1078*B*a^3*c*x^2-1950*A*a^3*c*x)","A"
434,1,360,375,0.099000," ","int((e*x)^(5/2)*(B*x+A)*(c*x^2+a)^(1/2),x)","\frac{2 \sqrt{e x}\, \left(315 B \,c^{4} x^{7}+385 A \,c^{4} x^{6}+405 B a \,c^{3} x^{5}+539 A a \,c^{3} x^{4}-60 B \,a^{2} c^{2} x^{3}+154 A \,a^{2} c^{2} x^{2}-462 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A \,a^{3} c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+231 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A \,a^{3} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-150 B \,a^{3} c x +75 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{-a c}\, B \,a^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right) e^{2}}{3465 \sqrt{c \,x^{2}+a}\, c^{3} x}"," ",0,"2/3465/x*e^2*(e*x)^(1/2)/(c*x^2+a)^(1/2)*(315*B*c^4*x^7+385*A*c^4*x^6+231*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^3*c-462*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^3*c+75*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*(-a*c)^(1/2)*a^3+405*B*a*c^3*x^5+539*A*a*c^3*x^4-60*B*a^2*c^2*x^3+154*A*a^2*c^2*x^2-150*B*a^3*c*x)/c^3","A"
435,1,342,347,0.110000," ","int((e*x)^(3/2)*(B*x+A)*(c*x^2+a)^(1/2),x)","-\frac{2 \sqrt{e x}\, \left(-35 B \,c^{3} x^{6}-45 A \,c^{3} x^{5}-49 B a \,c^{2} x^{4}-75 A a \,c^{2} x^{3}-14 B \,a^{2} c \,x^{2}-30 A \,a^{2} c x +42 \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, B \,a^{3} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-21 \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, B \,a^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+15 \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-a c}\, A \,a^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right) e}{315 \sqrt{c \,x^{2}+a}\, c^{2} x}"," ",0,"-2/315*e/x*(e*x)^(1/2)/(c*x^2+a)^(1/2)/c^2*(-35*B*c^3*x^6+15*A*2^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-a*c)^(1/2)*a^2-45*A*c^3*x^5+42*B*2^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^3-21*B*2^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^3-49*B*a*c^2*x^4-75*A*a*c^2*x^3-14*B*a^2*c*x^2-30*A*a^2*c*x)","A"
436,1,333,318,0.084000," ","int((e*x)^(1/2)*(B*x+A)*(c*x^2+a)^(1/2),x)","-\frac{2 \sqrt{e x}\, \left(-15 B \,c^{3} x^{5}-21 A \,c^{3} x^{4}-25 B a \,c^{2} x^{3}-21 A a \,c^{2} x^{2}-42 \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, A \,a^{2} c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+21 \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, A \,a^{2} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-10 B \,a^{2} c x +5 \sqrt{-a c}\, \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, B \,a^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right)}{105 \sqrt{c \,x^{2}+a}\, c^{2} x}"," ",0,"-2/105*(e*x)^(1/2)/(c*x^2+a)^(1/2)*(21*A*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^2*c-42*A*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^2*c+5*B*(-a*c)^(1/2)*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^2-15*B*c^3*x^5-21*A*c^3*x^4-25*B*a*c^2*x^3-21*A*a*c^2*x^2-10*B*a^2*c*x)/x/c^2","A"
437,1,312,293,0.088000," ","int((B*x+A)*(c*x^2+a)^(1/2)/(e*x)^(1/2),x)","\frac{\frac{2 B \,c^{2} x^{4}}{5}+\frac{2 A \,c^{2} x^{3}}{3}+\frac{2 B a c \,x^{2}}{5}+\frac{2 A a c x}{3}+\frac{4 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B \,a^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{5}-\frac{2 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B \,a^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{5}+\frac{2 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{-a c}\, A a \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{3}}{\sqrt{c \,x^{2}+a}\, \sqrt{e x}\, c}"," ",0,"2/15/(c*x^2+a)^(1/2)/c*(5*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*(-a*c)^(1/2)*a+6*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^2-3*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^2+3*B*c^2*x^4+5*A*c^2*x^3+3*B*a*c*x^2+5*A*a*c*x)/(e*x)^(1/2)","A"
438,1,307,300,0.122000," ","int((B*x+A)*(c*x^2+a)^(1/2)/(e*x)^(3/2),x)","\frac{\frac{2 B \,c^{2} x^{3}}{3}-2 A \,c^{2} x^{2}+4 \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{2}\, A a c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-2 \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{2}\, A a c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+\frac{2 B a c x}{3}-2 A a c +\frac{2 \sqrt{-a c}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{2}\, B a \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{3}}{\sqrt{c \,x^{2}+a}\, \sqrt{e x}\, c e}"," ",0,"2/3*(6*A*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*2^(1/2)*a*c-3*A*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*2^(1/2)*a*c+B*(-a*c)^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*2^(1/2)*a+B*c^2*x^3-3*A*c^2*x^2+B*a*c*x-3*A*a*c)/(c*x^2+a)^(1/2)/e/(e*x)^(1/2)/c","A"
439,1,303,298,0.102000," ","int((B*x+A)*(c*x^2+a)^(1/2)/(e*x)^(5/2),x)","\frac{-2 B c \,x^{3}-\frac{2 A c \,x^{2}}{3}+4 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a x \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-2 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a x \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+\frac{2 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{-a c}\, A x \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{3}-2 B a x -\frac{2 A a}{3}}{\sqrt{c \,x^{2}+a}\, \sqrt{e x}\, e^{2} x}"," ",0,"2/3/x*(A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*(-a*c)^(1/2)*x-3*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x*a+6*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x*a-3*B*c*x^3-A*c*x^2-3*B*a*x-a*A)/(c*x^2+a)^(1/2)/e^2/(e*x)^(1/2)","A"
440,1,331,328,0.101000," ","int((B*x+A)*(c*x^2+a)^(1/2)/(e*x)^(7/2),x)","\frac{-\frac{4 A \,c^{2} x^{4}}{5}+\frac{4 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A a c \,x^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{5}-\frac{2 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A a c \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{5}-\frac{2 B a c \,x^{3}}{3}-\frac{6 A a c \,x^{2}}{5}+\frac{2 \sqrt{2}\, \sqrt{-a c}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{3}-\frac{2 B \,a^{2} x}{3}-\frac{2 A \,a^{2}}{5}}{\sqrt{c \,x^{2}+a}\, \sqrt{e x}\, a \,e^{3} x^{2}}"," ",0,"2/15/x^2*(6*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c-3*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c+5*B*2^(1/2)*(-a*c)^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a-6*A*c^2*x^4-5*B*a*c*x^3-9*A*a*c*x^2-5*B*a^2*x-3*A*a^2)/(c*x^2+a)^(1/2)/e^3/(e*x)^(1/2)/a","A"
441,1,340,352,0.130000," ","int((B*x+A)*(c*x^2+a)^(1/2)/(e*x)^(9/2),x)","-\frac{2 \left(42 B \,c^{2} x^{5}+10 A \,c^{2} x^{4}-42 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a c \,x^{3} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+21 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a c \,x^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+5 \sqrt{2}\, \sqrt{-a c}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A c \,x^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+63 B a c \,x^{3}+25 A a c \,x^{2}+21 B \,a^{2} x +15 A \,a^{2}\right)}{105 \sqrt{c \,x^{2}+a}\, \sqrt{e x}\, a \,e^{4} x^{3}}"," ",0,"-2/105/x^3*(5*A*2^(1/2)*(-a*c)^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^3*c+21*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^3*a*c-42*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^3*a*c+42*B*c^2*x^5+10*A*c^2*x^4+63*B*a*c*x^3+25*A*a*c*x^2+21*B*a^2*x+15*A*a^2)/(c*x^2+a)^(1/2)/e^4/(e*x)^(1/2)/a","A"
442,1,384,410,0.105000," ","int((e*x)^(5/2)*(B*x+A)*(c*x^2+a)^(3/2),x)","\frac{2 \sqrt{e x}\, \left(1001 B \,c^{5} x^{9}+1155 A \,c^{5} x^{8}+2548 B a \,c^{4} x^{7}+3080 A a \,c^{4} x^{6}+1703 B \,a^{2} c^{3} x^{5}+2233 A \,a^{2} c^{3} x^{4}-104 B \,a^{3} c^{2} x^{3}+308 A \,a^{3} c^{2} x^{2}-924 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A \,a^{4} c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+462 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A \,a^{4} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-260 B \,a^{4} c x +130 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{-a c}\, B \,a^{4} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right) e^{2}}{15015 \sqrt{c \,x^{2}+a}\, c^{3} x}"," ",0,"2/15015/x*e^2*(e*x)^(1/2)/(c*x^2+a)^(1/2)*(1001*B*x^9*c^5+1155*A*x^8*c^5+2548*B*x^7*a*c^4+3080*A*x^6*a*c^4+462*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^4*c-924*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^4*c+130*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*(-a*c)^(1/2)*a^4+1703*B*x^5*a^2*c^3+2233*A*x^4*a^2*c^3-104*B*x^3*a^3*c^2+308*A*x^2*a^3*c^2-260*B*x*a^4*c)/c^3","A"
443,1,366,378,0.076000," ","int((e*x)^(3/2)*(B*x+A)*(c*x^2+a)^(3/2),x)","-\frac{2 \sqrt{e x}\, \left(-1155 B \,c^{4} x^{8}-1365 A \,c^{4} x^{7}-3080 B a \,c^{3} x^{6}-3900 A a \,c^{3} x^{5}-2233 B \,a^{2} c^{2} x^{4}-3315 A \,a^{2} c^{2} x^{3}-308 B \,a^{3} c \,x^{2}-780 A \,a^{3} c x +924 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B \,a^{4} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-462 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B \,a^{4} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+390 \sqrt{2}\, \sqrt{-a c}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A \,a^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right) e}{15015 \sqrt{c \,x^{2}+a}\, c^{2} x}"," ",0,"-2/15015*e/x*(e*x)^(1/2)/(c*x^2+a)^(1/2)/c^2*(-1155*B*c^4*x^8-1365*A*c^4*x^7-3080*B*a*c^3*x^6+390*A*2^(1/2)*(-a*c)^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^3-3900*A*a*c^3*x^5+924*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^4-462*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^4-2233*B*a^2*c^2*x^4-3315*A*a^2*c^2*x^3-308*B*a^3*c*x^2-780*A*a^3*c*x)","A"
444,1,357,350,0.073000," ","int((e*x)^(1/2)*(B*x+A)*(c*x^2+a)^(3/2),x)","-\frac{2 \sqrt{e x}\, \left(-315 B \,c^{4} x^{7}-385 A \,c^{4} x^{6}-900 B a \,c^{3} x^{5}-1232 A a \,c^{3} x^{4}-765 B \,a^{2} c^{2} x^{3}-847 A \,a^{2} c^{2} x^{2}-924 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A \,a^{3} c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+462 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A \,a^{3} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-180 B \,a^{3} c x +90 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{-a c}\, B \,a^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right)}{3465 \sqrt{c \,x^{2}+a}\, c^{2} x}"," ",0,"-2/3465*(e*x)^(1/2)/(c*x^2+a)^(1/2)*(-315*B*c^4*x^7-385*A*c^4*x^6+462*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^3*c-924*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^3*c+90*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*(-a*c)^(1/2)*a^3-900*B*a*c^3*x^5-1232*A*a*c^3*x^4-765*B*a^2*c^2*x^3-847*A*a^2*c^2*x^2-180*B*a^3*c*x)/c^2/x","A"
445,1,338,323,0.070000," ","int((B*x+A)*(c*x^2+a)^(3/2)/(e*x)^(1/2),x)","\frac{\frac{2 B \,c^{3} x^{6}}{9}+\frac{2 A \,c^{3} x^{5}}{7}+\frac{32 B a \,c^{2} x^{4}}{45}+\frac{8 A a \,c^{2} x^{3}}{7}+\frac{22 B \,a^{2} c \,x^{2}}{45}+\frac{6 A \,a^{2} c x}{7}+\frac{8 \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, B \,a^{3} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{15}-\frac{4 \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, B \,a^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{15}+\frac{4 \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-a c}\, A \,a^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{7}}{\sqrt{c \,x^{2}+a}\, \sqrt{e x}\, c}"," ",0,"2/315/(c*x^2+a)^(1/2)/c*(35*B*c^3*x^6+90*A*2^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-a*c)^(1/2)*a^2+45*A*c^3*x^5+84*B*2^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^3-42*B*2^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^3+112*B*a*c^2*x^4+180*A*a*c^2*x^3+77*B*a^2*c*x^2+135*A*a^2*c*x)/(e*x)^(1/2)","A"
446,1,340,331,0.074000," ","int((B*x+A)*(c*x^2+a)^(3/2)/(e*x)^(3/2),x)","-\frac{2 \left(-5 B \,c^{3} x^{5}-7 A \,c^{3} x^{4}-20 B a \,c^{2} x^{3}+28 A a \,c^{2} x^{2}-84 \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, A \,a^{2} c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+42 \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, A \,a^{2} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-15 B \,a^{2} c x +35 A \,a^{2} c -10 \sqrt{-a c}\, \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, B \,a^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right)}{35 \sqrt{c \,x^{2}+a}\, \sqrt{e x}\, c e}"," ",0,"-2/35*(42*A*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^2*c-84*A*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^2*c-10*B*(-a*c)^(1/2)*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^2-5*B*c^3*x^5-7*A*c^3*x^4-20*B*a*c^2*x^3+28*A*a*c^2*x^2-15*B*a^2*c*x+35*A*a^2*c)/(c*x^2+a)^(1/2)/c/e/(e*x)^(1/2)","A"
447,1,325,331,0.080000," ","int((B*x+A)*(c*x^2+a)^(3/2)/(e*x)^(5/2),x)","\frac{\frac{2 B \,c^{2} x^{5}}{5}+\frac{2 A \,c^{2} x^{4}}{3}-\frac{8 B a c \,x^{3}}{5}+\frac{24 \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, B \,a^{2} x \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{5}-\frac{12 \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, B \,a^{2} x \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{5}+\frac{4 \sqrt{-a c}\, \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, A a x \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{3}-2 B \,a^{2} x -\frac{2 A \,a^{2}}{3}}{\sqrt{c \,x^{2}+a}\, \sqrt{e x}\, e^{2} x}"," ",0,"2/15/x*(10*A*(-a*c)^(1/2)*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*x*a+36*B*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*x*a^2-18*B*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*x*a^2+3*B*c^2*x^5+5*A*c^2*x^4-12*B*a*c*x^3-15*B*a^2*x-5*A*a^2)/(c*x^2+a)^(1/2)/e^2/(e*x)^(1/2)","A"
448,1,329,329,0.079000," ","int((B*x+A)*(c*x^2+a)^(3/2)/(e*x)^(7/2),x)","\frac{\frac{2 B \,c^{2} x^{5}}{3}-\frac{14 A \,c^{2} x^{4}}{5}+\frac{24 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A a c \,x^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{5}-\frac{12 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A a c \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{5}-\frac{16 A a c \,x^{2}}{5}+\frac{4 \sqrt{2}\, \sqrt{-a c}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{3}-\frac{2 B \,a^{2} x}{3}-\frac{2 A \,a^{2}}{5}}{\sqrt{c \,x^{2}+a}\, \sqrt{e x}\, e^{3} x^{2}}"," ",0,"2/15/x^2*(36*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c-18*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c+10*B*2^(1/2)*(-a*c)^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a+5*B*c^2*x^5-21*A*c^2*x^4-24*A*a*c*x^2-5*B*a^2*x-3*A*a^2)/(c*x^2+a)^(1/2)/e^3/(e*x)^(1/2)","A"
449,1,337,329,0.081000," ","int((B*x+A)*(c*x^2+a)^(3/2)/(e*x)^(9/2),x)","\frac{-\frac{14 B \,c^{2} x^{5}}{5}-\frac{6 A \,c^{2} x^{4}}{7}+\frac{24 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a c \,x^{3} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{5}-\frac{12 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a c \,x^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{5}+\frac{4 \sqrt{2}\, \sqrt{-a c}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A c \,x^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{7}-\frac{16 B a c \,x^{3}}{5}-\frac{8 A a c \,x^{2}}{7}-\frac{2 B \,a^{2} x}{5}-\frac{2 A \,a^{2}}{7}}{\sqrt{c \,x^{2}+a}\, \sqrt{e x}\, e^{4} x^{3}}"," ",0,"2/35/x^3*(10*A*2^(1/2)*(-a*c)^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^3*c-42*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^3*a*c+84*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^3*a*c-49*B*c^2*x^5-15*A*c^2*x^4-56*B*a*c*x^3-20*A*a*c*x^2-7*B*a^2*x-5*A*a^2)/(c*x^2+a)^(1/2)/e^4/(e*x)^(1/2)","A"
450,1,390,409,0.102000," ","int((e*x)^(3/2)*(B*x+A)*(c*x^2+a)^(5/2),x)","-\frac{2 \sqrt{e x}\, \left(-15015 B \,c^{5} x^{10}-17017 A \,c^{5} x^{9}-56595 B a \,c^{4} x^{8}-66521 A a \,c^{4} x^{7}-75845 B \,a^{2} c^{3} x^{6}-95251 A \,a^{2} c^{3} x^{5}-37345 B \,a^{3} c^{2} x^{4}-54587 A \,a^{3} c^{2} x^{3}-3080 B \,a^{4} c \,x^{2}-8840 A \,a^{4} c x +9240 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B \,a^{5} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-4620 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B \,a^{5} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+4420 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{-a c}\, A \,a^{4} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right) e}{255255 \sqrt{c \,x^{2}+a}\, c^{2} x}"," ",0,"-2/255255*e/x*(e*x)^(1/2)/(c*x^2+a)^(1/2)/c^2*(-15015*B*x^10*c^5-17017*A*x^9*c^5-56595*B*x^8*a*c^4-66521*A*x^7*a*c^4-75845*B*x^6*a^2*c^3+4420*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*(-a*c)^(1/2)*a^4-95251*A*x^5*a^2*c^3+9240*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^5-4620*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^5-37345*B*x^4*a^3*c^2-54587*A*x^3*a^3*c^2-3080*B*x^2*a^4*c-8840*A*x*a^4*c)","A"
451,1,381,382,0.074000," ","int((e*x)^(1/2)*(B*x+A)*(c*x^2+a)^(5/2),x)","-\frac{2 \sqrt{e x}\, \left(-3003 B \,c^{5} x^{9}-3465 A \,c^{5} x^{8}-11739 B a \,c^{4} x^{7}-14245 A a \,c^{4} x^{6}-16809 B \,a^{2} c^{3} x^{5}-22715 A \,a^{2} c^{3} x^{4}-9633 B \,a^{3} c^{2} x^{3}-11935 A \,a^{3} c^{2} x^{2}-9240 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A \,a^{4} c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+4620 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A \,a^{4} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-1560 B \,a^{4} c x +780 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{-a c}\, B \,a^{4} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right)}{45045 \sqrt{c \,x^{2}+a}\, c^{2} x}"," ",0,"-2/45045*(e*x)^(1/2)/(c*x^2+a)^(1/2)*(-3003*B*c^5*x^9-3465*A*c^5*x^8-11739*B*a*c^4*x^7-14245*A*a*c^4*x^6+4620*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^4*c-9240*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^4*c+780*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*(-a*c)^(1/2)*a^4-16809*B*a^2*c^3*x^5-22715*A*a^2*c^3*x^4-9633*B*a^3*c^2*x^3-11935*A*a^3*c^2*x^2-1560*B*a^4*c*x)/c^2/x","A"
452,1,362,353,0.092000," ","int((B*x+A)*(c*x^2+a)^(5/2)/(e*x)^(1/2),x)","\frac{\frac{2 B \,c^{4} x^{8}}{13}+\frac{2 A \,c^{4} x^{7}}{11}+\frac{74 B a \,c^{3} x^{6}}{117}+\frac{62 A a \,c^{3} x^{5}}{77}+\frac{118 B \,a^{2} c^{2} x^{4}}{117}+\frac{122 A \,a^{2} c^{2} x^{3}}{77}+\frac{62 B \,a^{3} c \,x^{2}}{117}+\frac{74 A \,a^{3} c x}{77}+\frac{16 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B \,a^{4} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{39}-\frac{8 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B \,a^{4} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{39}+\frac{40 \sqrt{2}\, \sqrt{-a c}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A \,a^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{77}}{\sqrt{c \,x^{2}+a}\, \sqrt{e x}\, c}"," ",0,"2/9009/(c*x^2+a)^(1/2)/c*(693*B*c^4*x^8+819*A*c^4*x^7+2849*B*a*c^3*x^6+2340*A*2^(1/2)*(-a*c)^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^3+3627*A*a*c^3*x^5+1848*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^4-924*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^4+4543*B*a^2*c^2*x^4+7137*A*a^2*c^2*x^3+2387*B*a^3*c*x^2+4329*A*a^3*c*x)/(e*x)^(1/2)","A"
453,1,364,363,0.077000," ","int((B*x+A)*(c*x^2+a)^(5/2)/(e*x)^(3/2),x)","-\frac{2 \left(-63 B \,c^{4} x^{7}-77 A \,c^{4} x^{6}-279 B a \,c^{3} x^{5}-385 A a \,c^{3} x^{4}-549 B \,a^{2} c^{2} x^{3}+385 A \,a^{2} c^{2} x^{2}-1848 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A \,a^{3} c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+924 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A \,a^{3} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-333 B \,a^{3} c x +693 A \,a^{3} c -180 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{-a c}\, B \,a^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right)}{693 \sqrt{c \,x^{2}+a}\, \sqrt{e x}\, c e}"," ",0,"-2/693*(-63*B*c^4*x^7-77*A*c^4*x^6+924*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^3*c-1848*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^3*c-180*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*(-a*c)^(1/2)*a^3-279*B*a*c^3*x^5-385*A*a*c^3*x^4-549*B*a^2*c^2*x^3+385*A*a^2*c^2*x^2-333*B*a^3*c*x+693*a^3*A*c)/(c*x^2+a)^(1/2)/c/e/(e*x)^(1/2)","A"
454,1,359,362,0.079000," ","int((B*x+A)*(c*x^2+a)^(5/2)/(e*x)^(5/2),x)","\frac{\frac{2 B \,c^{3} x^{7}}{9}+\frac{2 A \,c^{3} x^{6}}{7}+\frac{10 B a \,c^{2} x^{5}}{9}+\frac{38 A a \,c^{2} x^{4}}{21}-\frac{10 B \,a^{2} c \,x^{3}}{9}+\frac{6 A \,a^{2} c \,x^{2}}{7}+\frac{16 \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{2}\, B \,a^{3} x \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{3}-\frac{8 \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{2}\, B \,a^{3} x \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{3}+\frac{40 \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{2}\, \sqrt{-a c}\, A \,a^{2} x \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{21}-2 B \,a^{3} x -\frac{2 A \,a^{3}}{3}}{\sqrt{c \,x^{2}+a}\, \sqrt{e x}\, e^{2} x}"," ",0,"2/63/x*(7*B*c^3*x^7+60*A*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*2^(1/2)*(-a*c)^(1/2)*x*a^2+9*A*c^3*x^6+168*B*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*2^(1/2)*x*a^3-84*B*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*2^(1/2)*x*a^3+35*B*a*c^2*x^5+57*A*a*c^2*x^4-35*B*a^2*c*x^3+27*A*a^2*c*x^2-63*B*a^3*x-21*A*a^3)/(c*x^2+a)^(1/2)/e^2/(e*x)^(1/2)","A"
455,1,367,360,0.090000," ","int((B*x+A)*(c*x^2+a)^(5/2)/(e*x)^(7/2),x)","-\frac{2 \left(-15 B \,c^{3} x^{7}-21 A \,c^{3} x^{6}-95 B a \,c^{2} x^{5}+231 A a \,c^{2} x^{4}-504 \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, A \,a^{2} c \,x^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+252 \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, A \,a^{2} c \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-45 B \,a^{2} c \,x^{3}+273 A \,a^{2} c \,x^{2}-100 \sqrt{-a c}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, B \,a^{2} x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+35 B \,a^{3} x +21 A \,a^{3}\right)}{105 \sqrt{c \,x^{2}+a}\, \sqrt{e x}\, e^{3} x^{2}}"," ",0,"-2/105/x^2*(252*A*2^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*x^2*a^2*c-504*A*2^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*x^2*a^2*c-100*B*(-a*c)^(1/2)*2^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*x^2*a^2-15*B*c^3*x^7-21*A*c^3*x^6-95*B*a*c^2*x^5+231*A*a*c^2*x^4-45*B*a^2*c*x^3+273*A*a^2*c*x^2+35*B*a^3*x+21*A*a^3)/(c*x^2+a)^(1/2)/e^3/(e*x)^(1/2)","A"
456,1,366,361,0.081000," ","int((B*x+A)*(c*x^2+a)^(5/2)/(e*x)^(9/2),x)","\frac{\frac{2 B \,c^{3} x^{7}}{5}+\frac{2 A \,c^{3} x^{6}}{3}-\frac{22 B a \,c^{2} x^{5}}{5}-\frac{6 A a \,c^{2} x^{4}}{7}+\frac{48 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B \,a^{2} c \,x^{3} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{5}-\frac{24 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B \,a^{2} c \,x^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{5}+\frac{40 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{-a c}\, A a c \,x^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{21}-\frac{26 B \,a^{2} c \,x^{3}}{5}-\frac{38 A \,a^{2} c \,x^{2}}{21}-\frac{2 B \,a^{3} x}{5}-\frac{2 A \,a^{3}}{7}}{\sqrt{c \,x^{2}+a}\, \sqrt{e x}\, e^{4} x^{3}}"," ",0,"2/105/x^3*(100*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*(-a*c)^(1/2)*x^3*a*c+504*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^3*a^2*c-252*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^3*a^2*c+21*B*c^3*x^7+35*A*c^3*x^6-231*B*a*c^2*x^5-45*A*a*c^2*x^4-273*B*a^2*c*x^3-95*A*a^2*c*x^2-21*B*a^3*x-15*A*a^3)/(c*x^2+a)^(1/2)/e^4/(e*x)^(1/2)","A"
457,1,366,359,0.107000," ","int((B*x+A)*(c*x^2+a)^(5/2)/(e*x)^(11/2),x)","\frac{\frac{2 B \,c^{3} x^{7}}{3}-\frac{10 A \,c^{3} x^{6}}{3}+\frac{16 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A a \,c^{2} x^{4} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{3}-\frac{8 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A a \,c^{2} x^{4} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{3}-\frac{6 B a \,c^{2} x^{5}}{7}-\frac{38 A a \,c^{2} x^{4}}{9}+\frac{40 \sqrt{-a c}\, \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a c \,x^{4} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{21}-\frac{38 B \,a^{2} c \,x^{3}}{21}-\frac{10 A \,a^{2} c \,x^{2}}{9}-\frac{2 B \,a^{3} x}{7}-\frac{2 A \,a^{3}}{9}}{\sqrt{c \,x^{2}+a}\, \sqrt{e x}\, e^{5} x^{4}}"," ",0,"2/63/x^4*(168*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^4*a*c^2-84*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^4*a*c^2+60*B*(-a*c)^(1/2)*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^4*a*c+21*B*c^3*x^7-105*A*c^3*x^6-27*B*a*c^2*x^5-133*A*a*c^2*x^4-57*B*a^2*c*x^3-35*A*a^2*c*x^2-9*B*a^3*x-7*A*a^3)/(c*x^2+a)^(1/2)/e^5/(e*x)^(1/2)","A"
458,1,344,366,0.104000," ","int((e*x)^(7/2)*(B*x+A)/(c*x^2+a)^(1/2),x)","\frac{\sqrt{e x}\, \left(70 B \,c^{3} x^{6}+90 A \,c^{3} x^{5}-28 B a \,c^{2} x^{4}-60 A a \,c^{2} x^{3}-98 B \,a^{2} c \,x^{2}-150 A \,a^{2} c x +294 \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, B \,a^{3} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-147 \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, B \,a^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+75 \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-a c}\, A \,a^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right) e^{3}}{315 \sqrt{c \,x^{2}+a}\, c^{3} x}"," ",0,"1/315*e^3/x*(e*x)^(1/2)/(c*x^2+a)^(1/2)/c^3*(70*B*c^3*x^6+75*A*2^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-a*c)^(1/2)*a^2+90*A*c^3*x^5+294*B*2^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^3-147*B*2^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^3-28*B*a*c^2*x^4-60*A*a*c^2*x^3-98*B*a^2*c*x^2-150*A*a^2*c*x)","A"
459,1,336,340,0.135000," ","int((e*x)^(5/2)*(B*x+A)/(c*x^2+a)^(1/2),x)","\frac{\sqrt{e x}\, \left(30 B \,c^{3} x^{5}+42 A \,c^{3} x^{4}-20 B a \,c^{2} x^{3}+42 A a \,c^{2} x^{2}-126 \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, A \,a^{2} c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+63 \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, A \,a^{2} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-50 B \,a^{2} c x +25 \sqrt{-a c}\, \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, B \,a^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right) e^{2}}{105 \sqrt{c \,x^{2}+a}\, c^{3} x}"," ",0,"1/105/x*e^2*(e*x)^(1/2)/(c*x^2+a)^(1/2)*(63*A*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^2*c-126*A*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^2*c+25*B*(-a*c)^(1/2)*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^2+30*B*c^3*x^5+42*A*c^3*x^4-20*B*a*c^2*x^3+42*A*a*c^2*x^2-50*B*a^2*c*x)/c^3","A"
460,1,316,316,0.086000," ","int((e*x)^(3/2)*(B*x+A)/(c*x^2+a)^(1/2),x)","-\frac{\sqrt{e x}\, \left(-6 B \,c^{2} x^{4}-10 A \,c^{2} x^{3}-6 B a c \,x^{2}-10 A a c x +18 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B \,a^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-9 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B \,a^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+5 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{-a c}\, A a \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right) e}{15 \sqrt{c \,x^{2}+a}\, c^{2} x}"," ",0,"-1/15*e/x*(e*x)^(1/2)/(c*x^2+a)^(1/2)/c^2*(5*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*(-a*c)^(1/2)*a+18*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^2-9*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^2-6*B*c^2*x^4-10*A*c^2*x^3-6*B*a*c*x^2-10*A*a*c*x)","A"
461,1,295,287,0.060000," ","int((e*x)^(1/2)*(B*x+A)/(c*x^2+a)^(1/2),x)","-\frac{\sqrt{e x}\, \left(-2 B \,c^{2} x^{3}-6 \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{2}\, A a c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+3 \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{2}\, A a c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-2 B a c x +\sqrt{-a c}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{2}\, B a \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right)}{3 \sqrt{c \,x^{2}+a}\, c^{2} x}"," ",0,"-1/3*(e*x)^(1/2)/(c*x^2+a)^(1/2)*(3*A*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*2^(1/2)*a*c-6*A*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*2^(1/2)*a*c+B*(-a*c)^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*2^(1/2)*a-2*B*c^2*x^3-2*B*a*c*x)/x/c^2","A"
462,1,175,261,0.075000," ","int((B*x+A)/(e*x)^(1/2)/(c*x^2+a)^(1/2),x)","\frac{\sqrt{2}\, \sqrt{-a c}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \left(A c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-2 \sqrt{-a c}\, B \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+\sqrt{-a c}\, B \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right)}{\sqrt{c \,x^{2}+a}\, \sqrt{e x}\, c^{2}}"," ",0,"1/(c*x^2+a)^(1/2)*2^(1/2)*(-a*c)^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*(A*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*c+B*(-a*c)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))-2*B*(-a*c)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2)))/(e*x)^(1/2)/c^2","A"
463,1,296,297,0.076000," ","int((B*x+A)/(e*x)^(3/2)/(c*x^2+a)^(1/2),x)","\frac{-2 A \,c^{2} x^{2}+2 \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{2}\, A a c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{2}\, A a c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-2 A a c +\sqrt{-a c}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{2}\, B a \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{\sqrt{c \,x^{2}+a}\, \sqrt{e x}\, a c e}"," ",0,"(-A*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*2^(1/2)*a*c+2*A*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*2^(1/2)*a*c+B*(-a*c)^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*2^(1/2)*a-2*A*c^2*x^2-2*A*a*c)/(c*x^2+a)^(1/2)/c/e/(e*x)^(1/2)/a","A"
464,1,306,323,0.074000," ","int((B*x+A)/(e*x)^(5/2)/(c*x^2+a)^(1/2),x)","-\frac{6 B c \,x^{3}+2 A c \,x^{2}-6 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a x \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+3 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a x \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+\sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{-a c}\, A x \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+6 B a x +2 A a}{3 \sqrt{c \,x^{2}+a}\, \sqrt{e x}\, a \,e^{2} x}"," ",0,"-1/3/x*(A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*(-a*c)^(1/2)*x+3*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x*a-6*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x*a+6*B*c*x^3+2*A*c*x^2+6*B*a*x+2*A*a)/(c*x^2+a)^(1/2)/a/e^2/(e*x)^(1/2)","A"
465,1,331,347,0.087000," ","int((B*x+A)/(e*x)^(7/2)/(c*x^2+a)^(1/2),x)","-\frac{-18 A \,c^{2} x^{4}+18 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A a c \,x^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-9 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A a c \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+10 B a c \,x^{3}-12 A a c \,x^{2}+5 \sqrt{2}\, \sqrt{-a c}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+10 B \,a^{2} x +6 A \,a^{2}}{15 \sqrt{c \,x^{2}+a}\, \sqrt{e x}\, a^{2} e^{3} x^{2}}"," ",0,"-1/15/x^2*(18*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c-9*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c+5*B*2^(1/2)*(-a*c)^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a-18*A*c^2*x^4+10*B*a*c*x^3-12*A*a*c*x^2+10*B*a^2*x+6*A*a^2)/(c*x^2+a)^(1/2)/e^3/(e*x)^(1/2)/a^2","A"
466,1,318,346,0.132000," ","int((e*x)^(7/2)*(B*x+A)/(c*x^2+a)^(3/2),x)","-\frac{\sqrt{e x}\, \left(-12 B \,c^{2} x^{4}-20 A \,c^{2} x^{3}-42 B a c \,x^{2}-50 A a c x +126 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B \,a^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-63 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B \,a^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+25 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{-a c}\, A a \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right) e^{3}}{30 \sqrt{c \,x^{2}+a}\, c^{3} x}"," ",0,"-1/30*e^3/x*(e*x)^(1/2)*(25*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*(-a*c)^(1/2)*a+126*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^2-63*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^2-12*B*c^2*x^4-20*A*c^2*x^3-42*B*a*c*x^2-50*A*a*c*x)/(c*x^2+a)^(1/2)/c^3","A"
467,1,308,322,0.162000," ","int((e*x)^(5/2)*(B*x+A)/(c*x^2+a)^(3/2),x)","-\frac{\sqrt{e x}\, \left(-4 B \,c^{2} x^{3}+6 A \,c^{2} x^{2}-18 \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{2}\, A a c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+9 \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{2}\, A a c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-10 B a c x +5 \sqrt{-a c}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{2}\, B a \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right) e^{2}}{6 \sqrt{c \,x^{2}+a}\, c^{3} x}"," ",0,"-1/6/x*e^2*(e*x)^(1/2)*(9*A*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*2^(1/2)*a*c-18*A*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*2^(1/2)*a*c+5*B*(-a*c)^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*2^(1/2)*a-4*B*c^2*x^3+6*A*c^2*x^2-10*B*a*c*x)/(c*x^2+a)^(1/2)/c^3","A"
468,1,290,298,0.100000," ","int((e*x)^(3/2)*(B*x+A)/(c*x^2+a)^(3/2),x)","\frac{\sqrt{e x}\, \left(-2 B c \,x^{2}-2 A c x +6 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-3 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+\sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{-a c}\, A \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right) e}{2 \sqrt{c \,x^{2}+a}\, c^{2} x}"," ",0,"1/2*e/x*(e*x)^(1/2)*(A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*(-a*c)^(1/2)+6*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a-3*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a-2*B*c*x^2-2*A*c*x)/(c*x^2+a)^(1/2)/c^2","A"
469,1,297,300,0.088000," ","int((e*x)^(1/2)*(B*x+A)/(c*x^2+a)^(3/2),x)","\frac{\sqrt{e x}\, \left(2 A \,c^{2} x^{2}-2 \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{2}\, A a c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{2}\, A a c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-2 B a c x +\sqrt{-a c}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{2}\, B a \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right)}{2 \sqrt{c \,x^{2}+a}\, a \,c^{2} x}"," ",0,"1/2*(e*x)^(1/2)*(A*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*2^(1/2)*a*c-2*A*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*2^(1/2)*a*c+B*(-a*c)^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*2^(1/2)*a+2*A*c^2*x^2-2*B*a*c*x)/(c*x^2+a)^(1/2)/x/a/c^2","A"
470,1,288,292,0.129000," ","int((B*x+A)/(e*x)^(1/2)/(c*x^2+a)^(3/2),x)","\frac{2 B c \,x^{2}+2 A c x -2 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+\sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+\sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{-a c}\, A \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{2 \sqrt{c \,x^{2}+a}\, \sqrt{e x}\, a c}"," ",0,"1/2*(A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*(-a*c)^(1/2)+B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a-2*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a+2*B*c*x^2+2*A*c*x)/(c*x^2+a)^(1/2)/c/a/(e*x)^(1/2)","A"
471,1,304,325,0.088000," ","int((B*x+A)/(e*x)^(3/2)/(c*x^2+a)^(3/2),x)","-\frac{6 A \,c^{2} x^{2}-6 \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{2}\, A a c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+3 \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{2}\, A a c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-2 B a c x +4 A a c -\sqrt{-a c}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{2}\, B a \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{2 \sqrt{c \,x^{2}+a}\, \sqrt{e x}\, a^{2} c e}"," ",0,"-1/2*(3*A*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*2^(1/2)*a*c-6*A*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*2^(1/2)*a*c-B*(-a*c)^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*2^(1/2)*a+6*A*c^2*x^2-2*B*a*c*x+4*A*a*c)/(c*x^2+a)^(1/2)/c/e/(e*x)^(1/2)/a^2","A"
472,1,307,349,0.107000," ","int((B*x+A)/(e*x)^(5/2)/(c*x^2+a)^(3/2),x)","-\frac{18 B c \,x^{3}+10 A c \,x^{2}-18 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a x \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+9 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a x \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+5 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{-a c}\, A x \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+12 B a x +4 A a}{6 \sqrt{c \,x^{2}+a}\, \sqrt{e x}\, a^{2} e^{2} x}"," ",0,"-1/6/x*(5*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*(-a*c)^(1/2)*x+9*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x*a-18*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x*a+18*B*c*x^3+10*A*c*x^2+12*B*a*x+4*A*a)/(c*x^2+a)^(1/2)/a^2/e^2/(e*x)^(1/2)","A"
473,1,331,373,0.078000," ","int((B*x+A)/(e*x)^(7/2)/(c*x^2+a)^(3/2),x)","-\frac{-126 A \,c^{2} x^{4}+126 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A a c \,x^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-63 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A a c \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+50 B a c \,x^{3}-84 A a c \,x^{2}+25 \sqrt{2}\, \sqrt{-a c}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+20 B \,a^{2} x +12 A \,a^{2}}{30 \sqrt{c \,x^{2}+a}\, \sqrt{e x}\, a^{3} e^{3} x^{2}}"," ",0,"-1/30/x^2*(126*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c-63*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c+25*B*2^(1/2)*(-a*c)^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a-126*A*c^2*x^4+50*B*a*c*x^3-84*A*a*c*x^2+20*B*a^2*x+12*A*a^2)/(c*x^2+a)^(1/2)/e^3/(e*x)^(1/2)/a^3","A"
474,1,637,400,0.118000," ","int((e*x)^(13/2)*(B*x+A)/(c*x^2+a)^(5/2),x)","\frac{\left(120 B \,c^{4} x^{7}+168 A \,c^{4} x^{6}-520 B a \,c^{3} x^{5}+1386 A a \,c^{3} x^{4}-3234 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A \,a^{2} c^{2} x^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+1617 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A \,a^{2} c^{2} x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-2730 B \,a^{2} c^{2} x^{3}+1078 A \,a^{2} c^{2} x^{2}+975 \sqrt{2}\, \sqrt{-a c}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B \,a^{2} c \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-3234 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A \,a^{3} c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+1617 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A \,a^{3} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-1950 B \,a^{3} c x +975 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{-a c}\, B \,a^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right) \sqrt{e x}\, e^{6}}{420 \left(c \,x^{2}+a \right)^{\frac{3}{2}} c^{5} x}"," ",0,"1/420*(1617*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a^2*c^2-3234*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a^2*c^2+975*B*2^(1/2)*(-a*c)^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a^2*c+120*B*c^4*x^7+168*A*c^4*x^6+1617*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^3*c-3234*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^3*c+975*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*(-a*c)^(1/2)*a^3-520*B*a*c^3*x^5+1386*A*a*c^3*x^4-2730*B*a^2*c^2*x^3+1078*A*a^2*c^2*x^2-1950*B*a^3*c*x)*e^6/x*(e*x)^(1/2)/c^5/(c*x^2+a)^(3/2)","A"
475,1,615,376,0.130000," ","int((e*x)^(11/2)*(B*x+A)/(c*x^2+a)^(5/2),x)","-\frac{\left(-24 B \,c^{3} x^{6}-40 A \,c^{3} x^{5}-198 B a \,c^{2} x^{4}-210 A a \,c^{2} x^{3}+462 \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{2}\, B \,a^{2} c \,x^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-231 \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{2}\, B \,a^{2} c \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+75 \sqrt{-a c}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{2}\, A a c \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-154 B \,a^{2} c \,x^{2}-150 A \,a^{2} c x +462 \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, B \,a^{3} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-231 \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, B \,a^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+75 \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-a c}\, A \,a^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right) \sqrt{e x}\, e^{5}}{60 \left(c \,x^{2}+a \right)^{\frac{3}{2}} c^{4} x}"," ",0,"-1/60*(75*A*(-a*c)^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*2^(1/2)*x^2*a*c+462*B*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*2^(1/2)*x^2*a^2*c-231*B*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*2^(1/2)*x^2*a^2*c-24*B*c^3*x^6+75*A*2^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-a*c)^(1/2)*a^2-40*A*c^3*x^5+462*B*2^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^3-231*B*2^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^3-198*B*a*c^2*x^4-210*A*a*c^2*x^3-154*B*a^2*c*x^2-150*A*a^2*c*x)*e^5/x*(e*x)^(1/2)/c^4/(c*x^2+a)^(3/2)","A"
476,1,607,352,0.086000," ","int((e*x)^(9/2)*(B*x+A)/(c*x^2+a)^(5/2),x)","-\frac{\left(-8 B \,c^{3} x^{5}+18 A \,c^{3} x^{4}-42 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A a \,c^{2} x^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+21 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A a \,c^{2} x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-42 B a \,c^{2} x^{3}+14 A a \,c^{2} x^{2}+15 \sqrt{2}\, \sqrt{-a c}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a c \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-42 \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, A \,a^{2} c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+21 \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, A \,a^{2} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-30 B \,a^{2} c x +15 \sqrt{-a c}\, \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, B \,a^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right) \sqrt{e x}\, e^{4}}{12 \left(c \,x^{2}+a \right)^{\frac{3}{2}} c^{4} x}"," ",0,"-1/12*(21*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c^2-42*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c^2+15*B*2^(1/2)*(-a*c)^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c+21*A*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^2*c-42*A*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^2*c+15*B*(-a*c)^(1/2)*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^2-8*B*c^3*x^5+18*A*c^3*x^4-42*B*a*c^2*x^3+14*A*a*c^2*x^2-30*B*a^2*c*x)*e^4/x*(e*x)^(1/2)/c^4/(c*x^2+a)^(3/2)","A"
477,1,584,329,0.116000," ","int((e*x)^(7/2)*(B*x+A)/(c*x^2+a)^(5/2),x)","\frac{\left(-18 B \,c^{2} x^{4}-14 A \,c^{2} x^{3}+42 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a c \,x^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-21 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a c \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+5 \sqrt{-a c}\, \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A c \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-14 B a c \,x^{2}-10 A a c x +42 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B \,a^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-21 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B \,a^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+5 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{-a c}\, A a \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right) \sqrt{e x}\, e^{3}}{12 \left(c \,x^{2}+a \right)^{\frac{3}{2}} c^{3} x}"," ",0,"1/12*(5*A*(-a*c)^(1/2)*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*c+42*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c-21*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c+5*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*(-a*c)^(1/2)*a+42*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^2-21*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^2-18*B*c^2*x^4-14*A*c^2*x^3-14*B*a*c*x^2-10*A*a*c*x)*e^3/x*(e*x)^(1/2)/c^3/(c*x^2+a)^(3/2)","A"
478,1,601,337,0.103000," ","int((e*x)^(5/2)*(B*x+A)/(c*x^2+a)^(5/2),x)","\frac{\left(6 A \,c^{3} x^{4}-6 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A a \,c^{2} x^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+3 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A a \,c^{2} x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-14 B a \,c^{2} x^{3}+2 A a \,c^{2} x^{2}+5 \sqrt{2}\, \sqrt{-a c}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a c \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-6 \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, A \,a^{2} c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+3 \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, A \,a^{2} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-10 B \,a^{2} c x +5 \sqrt{-a c}\, \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, B \,a^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right) \sqrt{e x}\, e^{2}}{12 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a \,c^{3} x}"," ",0,"1/12*(3*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c^2-6*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c^2+5*B*2^(1/2)*(-a*c)^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c+3*A*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^2*c-6*A*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^2*c+5*B*(-a*c)^(1/2)*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^2+6*A*c^3*x^4-14*B*a*c^2*x^3+2*A*a*c^2*x^2-10*B*a^2*c*x)/x*e^2*(e*x)^(1/2)/c^3/a/(c*x^2+a)^(3/2)","A"
479,1,583,331,0.095000," ","int((e*x)^(3/2)*(B*x+A)/(c*x^2+a)^(5/2),x)","\frac{\left(6 B \,c^{2} x^{4}+2 A \,c^{2} x^{3}-6 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a c \,x^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+3 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a c \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+\sqrt{-a c}\, \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A c \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+2 B a c \,x^{2}-2 A a c x -6 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B \,a^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+3 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B \,a^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+\sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{-a c}\, A a \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right) \sqrt{e x}\, e}{12 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a \,c^{2} x}"," ",0,"1/12*(A*(-a*c)^(1/2)*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*c-6*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c+3*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c+A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*(-a*c)^(1/2)*a-6*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^2+3*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^2+6*B*c^2*x^4+2*A*c^2*x^3+2*B*a*c*x^2-2*A*a*c*x)*e/x*(e*x)^(1/2)/c^2/a/(c*x^2+a)^(3/2)","A"
480,1,596,332,0.072000," ","int((e*x)^(1/2)*(B*x+A)/(c*x^2+a)^(5/2),x)","\frac{\left(6 A \,c^{3} x^{4}-6 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A a \,c^{2} x^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+3 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A a \,c^{2} x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+2 B a \,c^{2} x^{3}+10 A a \,c^{2} x^{2}+\sqrt{2}\, \sqrt{-a c}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a c \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-6 \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, A \,a^{2} c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+3 \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, A \,a^{2} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-2 B \,a^{2} c x +\sqrt{-a c}\, \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, B \,a^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)\right) \sqrt{e x}}{12 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a^{2} c^{2} x}"," ",0,"1/12*(3*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c^2-6*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c^2+B*2^(1/2)*(-a*c)^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c+3*A*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^2*c-6*A*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^2*c+B*(-a*c)^(1/2)*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^2+6*A*c^3*x^4+2*B*a*c^2*x^3+10*A*a*c^2*x^2-2*B*a^2*c*x)*(e*x)^(1/2)/a^2/x/c^2/(c*x^2+a)^(3/2)","A"
481,1,581,325,0.105000," ","int((B*x+A)/(e*x)^(1/2)/(c*x^2+a)^(5/2),x)","\frac{6 B \,c^{2} x^{4}+10 A \,c^{2} x^{3}-6 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a c \,x^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+3 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a c \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+5 \sqrt{-a c}\, \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A c \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+10 B a c \,x^{2}+14 A a c x -6 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B \,a^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+3 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B \,a^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+5 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{-a c}\, A a \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{12 \sqrt{e x}\, \left(c \,x^{2}+a \right)^{\frac{3}{2}} a^{2} c}"," ",0,"1/12*(5*A*(-a*c)^(1/2)*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*c+3*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c-6*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c+5*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*(-a*c)^(1/2)*a+3*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^2-6*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*a^2+6*B*c^2*x^4+10*A*c^2*x^3+10*B*a*c*x^2+14*A*a*c*x)/c/(e*x)^(1/2)/a^2/(c*x^2+a)^(3/2)","A"
482,1,605,357,0.087000," ","int((B*x+A)/(e*x)^(3/2)/(c*x^2+a)^(5/2),x)","-\frac{42 A \,c^{3} x^{4}-42 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A a \,c^{2} x^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+21 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A a \,c^{2} x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-10 B a \,c^{2} x^{3}+70 A a \,c^{2} x^{2}-5 \sqrt{2}\, \sqrt{-a c}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a c \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-42 \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, A \,a^{2} c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+21 \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, A \,a^{2} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-14 B \,a^{2} c x +24 A \,a^{2} c -5 \sqrt{-a c}\, \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, B \,a^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)}{12 \sqrt{e x}\, \left(c \,x^{2}+a \right)^{\frac{3}{2}} a^{3} c e}"," ",0,"-1/12*(21*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c^2-42*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c^2-5*B*2^(1/2)*(-a*c)^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*c+21*A*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^2*c-42*A*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^2*c-5*B*(-a*c)^(1/2)*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*a^2+42*A*c^3*x^4-10*B*a*c^2*x^3+70*A*a*c^2*x^2-14*B*a^2*c*x+24*A*a^2*c)/a^3/e/(e*x)^(1/2)/c/(c*x^2+a)^(3/2)","A"
483,1,602,380,0.125000," ","int((B*x+A)/(e*x)^(5/2)/(c*x^2+a)^(5/2),x)","-\frac{42 B \,c^{2} x^{5}+30 A \,c^{2} x^{4}-42 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a c \,x^{3} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+21 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a c \,x^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+15 \sqrt{2}\, \sqrt{-a c}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A c \,x^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+70 B a c \,x^{3}+42 A a c \,x^{2}-42 \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, B \,a^{2} x \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+21 \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, B \,a^{2} x \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+15 \sqrt{-a c}\, \sqrt{2}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, A a x \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+24 B \,a^{2} x +8 A \,a^{2}}{12 \sqrt{e x}\, \left(c \,x^{2}+a \right)^{\frac{3}{2}} a^{3} e^{2} x}"," ",0,"-1/12*(15*A*2^(1/2)*(-a*c)^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^3*c+21*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^3*a*c-42*B*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^3*a*c+15*A*(-a*c)^(1/2)*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*x*a+21*B*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*x*a^2-42*B*2^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*x*a^2+42*B*c^2*x^5+30*A*c^2*x^4+70*B*a*c*x^3+42*A*a*c*x^2+24*B*a^2*x+8*A*a^2)/x/e^2/(e*x)^(1/2)/a^3/(c*x^2+a)^(3/2)","A"
484,1,632,404,0.262000," ","int((B*x+A)/(e*x)^(7/2)/(c*x^2+a)^(5/2),x)","-\frac{-462 A \,c^{3} x^{6}+462 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A a \,c^{2} x^{4} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-231 \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, A a \,c^{2} x^{4} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+150 B a \,c^{2} x^{5}-770 A a \,c^{2} x^{4}+75 \sqrt{-a c}\, \sqrt{2}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, B a c \,x^{4} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+462 \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, A \,a^{2} c \,x^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)-231 \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, A \,a^{2} c \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+210 B \,a^{2} c \,x^{3}-264 A \,a^{2} c \,x^{2}+75 \sqrt{-a c}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-a c}}{\sqrt{-a c}}}\, \sqrt{-\frac{c x}{\sqrt{-a c}}}\, \sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}\, B \,a^{2} x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-a c}}{\sqrt{-a c}}}, \frac{\sqrt{2}}{2}\right)+40 B \,a^{3} x +24 A \,a^{3}}{60 \sqrt{e x}\, \left(c \,x^{2}+a \right)^{\frac{3}{2}} a^{4} e^{3} x^{2}}"," ",0,"-1/60*(462*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^4*a*c^2-231*A*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^4*a*c^2+75*B*(-a*c)^(1/2)*2^(1/2)*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*x^4*a*c+462*A*2^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*x^2*a^2*c-231*A*2^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*x^2*a^2*c+75*B*(-a*c)^(1/2)*2^(1/2)*((-c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*(-1/(-a*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-a*c)^(1/2))/(-a*c)^(1/2))^(1/2)*x^2*a^2-462*A*c^3*x^6+150*B*a*c^2*x^5-770*A*a*c^2*x^4+210*B*a^2*c*x^3-264*A*a^2*c*x^2+40*B*a^3*x+24*A*a^3)/x^2/a^4/e^3/(e*x)^(1/2)/(c*x^2+a)^(3/2)","A"
485,1,1255,217,0.051000," ","int((e*x)^m*(B*x+A)*(c*x^2+a)^4,x)","\frac{\left(B \,c^{4} m^{9} x^{9}+A \,c^{4} m^{9} x^{8}+45 B \,c^{4} m^{8} x^{9}+46 A \,c^{4} m^{8} x^{8}+4 B a \,c^{3} m^{9} x^{7}+870 B \,c^{4} m^{7} x^{9}+4 A a \,c^{3} m^{9} x^{6}+906 A \,c^{4} m^{7} x^{8}+188 B a \,c^{3} m^{8} x^{7}+9450 B \,c^{4} m^{6} x^{9}+192 A a \,c^{3} m^{8} x^{6}+9996 A \,c^{4} m^{6} x^{8}+6 B \,a^{2} c^{2} m^{9} x^{5}+3776 B a \,c^{3} m^{7} x^{7}+63273 B \,c^{4} m^{5} x^{9}+6 A \,a^{2} c^{2} m^{9} x^{4}+3936 A a \,c^{3} m^{7} x^{6}+67809 A \,c^{4} m^{5} x^{8}+294 B \,a^{2} c^{2} m^{8} x^{5}+42392 B a \,c^{3} m^{6} x^{7}+269325 B \,c^{4} m^{4} x^{9}+300 A \,a^{2} c^{2} m^{8} x^{4}+45048 A a \,c^{3} m^{6} x^{6}+291774 A \,c^{4} m^{4} x^{8}+4 B \,a^{3} c \,m^{9} x^{3}+6156 B \,a^{2} c^{2} m^{7} x^{5}+291956 B a \,c^{3} m^{5} x^{7}+723680 B \,c^{4} m^{3} x^{9}+4 A \,a^{3} c \,m^{9} x^{2}+6420 A \,a^{2} c^{2} m^{7} x^{4}+315756 A a \,c^{3} m^{5} x^{6}+790964 A \,c^{4} m^{3} x^{8}+204 B \,a^{3} c \,m^{8} x^{3}+71964 B \,a^{2} c^{2} m^{6} x^{5}+1272572 B a \,c^{3} m^{4} x^{7}+1172700 B \,c^{4} m^{2} x^{9}+208 A \,a^{3} c \,m^{8} x^{2}+76800 A \,a^{2} c^{2} m^{6} x^{4}+1397928 A a \,c^{3} m^{4} x^{6}+1290824 A \,c^{4} m^{2} x^{8}+B \,a^{4} m^{9} x +4464 B \,a^{3} c \,m^{7} x^{3}+514854 B \,a^{2} c^{2} m^{5} x^{5}+3487144 B a \,c^{3} m^{3} x^{7}+1026576 B \,c^{4} m \,x^{9}+A \,a^{4} m^{9}+4656 A \,a^{3} c \,m^{7} x^{2}+562638 A \,a^{2} c^{2} m^{5} x^{4}+3882224 A a \,c^{3} m^{3} x^{6}+1136160 A \,c^{4} m \,x^{8}+53 B \,a^{4} m^{8} x +54744 B \,a^{3} c \,m^{6} x^{3}+2323206 B \,a^{2} c^{2} m^{4} x^{5}+5740848 B a \,c^{3} m^{2} x^{7}+362880 B \,c^{4} x^{9}+54 A \,a^{4} m^{8}+58632 A \,a^{3} c \,m^{6} x^{2}+2599140 A \,a^{2} c^{2} m^{4} x^{4}+6462432 A a \,c^{3} m^{2} x^{6}+403200 A \,c^{4} x^{8}+1214 B \,a^{4} m^{7} x +412116 B \,a^{3} c \,m^{5} x^{3}+6562344 B \,a^{2} c^{2} m^{3} x^{5}+5087520 B a \,c^{3} m \,x^{7}+1266 A \,a^{4} m^{7}+455196 A \,a^{3} c \,m^{5} x^{2}+7505880 A \,a^{2} c^{2} m^{3} x^{4}+5777280 A a \,c^{3} m \,x^{6}+15722 B \,a^{4} m^{6} x +1959756 B \,a^{3} c \,m^{4} x^{3}+11082936 B \,a^{2} c^{2} m^{2} x^{5}+1814400 B a \,c^{3} x^{7}+16884 A \,a^{4} m^{6}+2242632 A \,a^{3} c \,m^{4} x^{2}+12927600 A \,a^{2} c^{2} m^{2} x^{4}+2073600 A a \,c^{3} x^{6}+126329 B \,a^{4} m^{5} x +5828696 B \,a^{3} c \,m^{3} x^{3}+10023840 B \,a^{2} c^{2} m \,x^{5}+140889 A \,a^{4} m^{5}+6939824 A \,a^{3} c \,m^{3} x^{2}+11883456 A \,a^{2} c^{2} m \,x^{4}+649397 B \,a^{4} m^{4} x +10323216 B \,a^{3} c \,m^{2} x^{3}+3628800 B \,a^{2} c^{2} x^{5}+761166 A \,a^{4} m^{4}+12818528 A \,a^{3} c \,m^{2} x^{2}+4354560 A \,a^{2} c^{2} x^{4}+2118136 B \,a^{4} m^{3} x +9721440 B \,a^{3} c m \,x^{3}+2655764 A \,a^{4} m^{3}+12558720 A \,a^{3} c m \,x^{2}+4173228 B \,a^{4} m^{2} x +3628800 B \,a^{3} c \,x^{3}+5753736 A \,a^{4} m^{2}+4838400 A \,a^{3} c \,x^{2}+4407120 B \,a^{4} m x +6999840 A \,a^{4} m +1814400 B \,a^{4} x +3628800 A \,a^{4}\right) x \left(e x \right)^{m}}{\left(m +10\right) \left(m +9\right) \left(m +8\right) \left(m +7\right) \left(m +6\right) \left(m +5\right) \left(m +4\right) \left(m +3\right) \left(m +2\right) \left(m +1\right)}"," ",0,"x*(B*c^4*m^9*x^9+A*c^4*m^9*x^8+45*B*c^4*m^8*x^9+46*A*c^4*m^8*x^8+4*B*a*c^3*m^9*x^7+870*B*c^4*m^7*x^9+4*A*a*c^3*m^9*x^6+906*A*c^4*m^7*x^8+188*B*a*c^3*m^8*x^7+9450*B*c^4*m^6*x^9+192*A*a*c^3*m^8*x^6+9996*A*c^4*m^6*x^8+6*B*a^2*c^2*m^9*x^5+3776*B*a*c^3*m^7*x^7+63273*B*c^4*m^5*x^9+6*A*a^2*c^2*m^9*x^4+3936*A*a*c^3*m^7*x^6+67809*A*c^4*m^5*x^8+294*B*a^2*c^2*m^8*x^5+42392*B*a*c^3*m^6*x^7+269325*B*c^4*m^4*x^9+300*A*a^2*c^2*m^8*x^4+45048*A*a*c^3*m^6*x^6+291774*A*c^4*m^4*x^8+4*B*a^3*c*m^9*x^3+6156*B*a^2*c^2*m^7*x^5+291956*B*a*c^3*m^5*x^7+723680*B*c^4*m^3*x^9+4*A*a^3*c*m^9*x^2+6420*A*a^2*c^2*m^7*x^4+315756*A*a*c^3*m^5*x^6+790964*A*c^4*m^3*x^8+204*B*a^3*c*m^8*x^3+71964*B*a^2*c^2*m^6*x^5+1272572*B*a*c^3*m^4*x^7+1172700*B*c^4*m^2*x^9+208*A*a^3*c*m^8*x^2+76800*A*a^2*c^2*m^6*x^4+1397928*A*a*c^3*m^4*x^6+1290824*A*c^4*m^2*x^8+B*a^4*m^9*x+4464*B*a^3*c*m^7*x^3+514854*B*a^2*c^2*m^5*x^5+3487144*B*a*c^3*m^3*x^7+1026576*B*c^4*m*x^9+A*a^4*m^9+4656*A*a^3*c*m^7*x^2+562638*A*a^2*c^2*m^5*x^4+3882224*A*a*c^3*m^3*x^6+1136160*A*c^4*m*x^8+53*B*a^4*m^8*x+54744*B*a^3*c*m^6*x^3+2323206*B*a^2*c^2*m^4*x^5+5740848*B*a*c^3*m^2*x^7+362880*B*c^4*x^9+54*A*a^4*m^8+58632*A*a^3*c*m^6*x^2+2599140*A*a^2*c^2*m^4*x^4+6462432*A*a*c^3*m^2*x^6+403200*A*c^4*x^8+1214*B*a^4*m^7*x+412116*B*a^3*c*m^5*x^3+6562344*B*a^2*c^2*m^3*x^5+5087520*B*a*c^3*m*x^7+1266*A*a^4*m^7+455196*A*a^3*c*m^5*x^2+7505880*A*a^2*c^2*m^3*x^4+5777280*A*a*c^3*m*x^6+15722*B*a^4*m^6*x+1959756*B*a^3*c*m^4*x^3+11082936*B*a^2*c^2*m^2*x^5+1814400*B*a*c^3*x^7+16884*A*a^4*m^6+2242632*A*a^3*c*m^4*x^2+12927600*A*a^2*c^2*m^2*x^4+2073600*A*a*c^3*x^6+126329*B*a^4*m^5*x+5828696*B*a^3*c*m^3*x^3+10023840*B*a^2*c^2*m*x^5+140889*A*a^4*m^5+6939824*A*a^3*c*m^3*x^2+11883456*A*a^2*c^2*m*x^4+649397*B*a^4*m^4*x+10323216*B*a^3*c*m^2*x^3+3628800*B*a^2*c^2*x^5+761166*A*a^4*m^4+12818528*A*a^3*c*m^2*x^2+4354560*A*a^2*c^2*x^4+2118136*B*a^4*m^3*x+9721440*B*a^3*c*m*x^3+2655764*A*a^4*m^3+12558720*A*a^3*c*m*x^2+4173228*B*a^4*m^2*x+3628800*B*a^3*c*x^3+5753736*A*a^4*m^2+4838400*A*a^3*c*x^2+4407120*B*a^4*m*x+6999840*A*a^4*m+1814400*B*a^4*x+3628800*A*a^4)*(e*x)^m/(m+10)/(m+9)/(m+8)/(m+7)/(m+6)/(m+5)/(m+4)/(m+3)/(m+2)/(m+1)","B"
486,1,765,169,0.058000," ","int((e*x)^m*(B*x+A)*(c*x^2+a)^3,x)","\frac{\left(B \,c^{3} m^{7} x^{7}+A \,c^{3} m^{7} x^{6}+28 B \,c^{3} m^{6} x^{7}+29 A \,c^{3} m^{6} x^{6}+3 B a \,c^{2} m^{7} x^{5}+322 B \,c^{3} m^{5} x^{7}+3 A a \,c^{2} m^{7} x^{4}+343 A \,c^{3} m^{5} x^{6}+90 B a \,c^{2} m^{6} x^{5}+1960 B \,c^{3} m^{4} x^{7}+93 A a \,c^{2} m^{6} x^{4}+2135 A \,c^{3} m^{4} x^{6}+3 B \,a^{2} c \,m^{7} x^{3}+1098 B a \,c^{2} m^{5} x^{5}+6769 B \,c^{3} m^{3} x^{7}+3 A \,a^{2} c \,m^{7} x^{2}+1173 A a \,c^{2} m^{5} x^{4}+7504 A \,c^{3} m^{3} x^{6}+96 B \,a^{2} c \,m^{6} x^{3}+7020 B a \,c^{2} m^{4} x^{5}+13132 B \,c^{3} m^{2} x^{7}+99 A \,a^{2} c \,m^{6} x^{2}+7743 A a \,c^{2} m^{4} x^{4}+14756 A \,c^{3} m^{2} x^{6}+B \,a^{3} m^{7} x +1254 B \,a^{2} c \,m^{5} x^{3}+25227 B a \,c^{2} m^{3} x^{5}+13068 B \,c^{3} m \,x^{7}+A \,a^{3} m^{7}+1341 A \,a^{2} c \,m^{5} x^{2}+28632 A a \,c^{2} m^{3} x^{4}+14832 A \,c^{3} m \,x^{6}+34 B \,a^{3} m^{6} x +8592 B \,a^{2} c \,m^{4} x^{3}+50490 B a \,c^{2} m^{2} x^{5}+5040 B \,c^{3} x^{7}+35 A \,a^{3} m^{6}+9585 A \,a^{2} c \,m^{4} x^{2}+58692 A a \,c^{2} m^{2} x^{4}+5760 A \,c^{3} x^{6}+478 B \,a^{3} m^{5} x +32979 B \,a^{2} c \,m^{3} x^{3}+51432 B a \,c^{2} m \,x^{5}+511 A \,a^{3} m^{5}+38592 A \,a^{2} c \,m^{3} x^{2}+60912 A a \,c^{2} m \,x^{4}+3580 B \,a^{3} m^{4} x +69936 B \,a^{2} c \,m^{2} x^{3}+20160 B a \,c^{2} x^{5}+4025 A \,a^{3} m^{4}+86076 A \,a^{2} c \,m^{2} x^{2}+24192 A a \,c^{2} x^{4}+15289 B \,a^{3} m^{3} x +74628 B \,a^{2} c m \,x^{3}+18424 A \,a^{3} m^{3}+96144 A \,a^{2} c m \,x^{2}+36706 B \,a^{3} m^{2} x +30240 B \,a^{2} c \,x^{3}+48860 A \,a^{3} m^{2}+40320 A \,a^{2} c \,x^{2}+44712 B \,a^{3} m x +69264 A \,a^{3} m +20160 B \,a^{3} x +40320 A \,a^{3}\right) x \left(e x \right)^{m}}{\left(m +8\right) \left(m +7\right) \left(m +6\right) \left(m +5\right) \left(m +4\right) \left(m +3\right) \left(m +2\right) \left(m +1\right)}"," ",0,"x*(B*c^3*m^7*x^7+A*c^3*m^7*x^6+28*B*c^3*m^6*x^7+29*A*c^3*m^6*x^6+3*B*a*c^2*m^7*x^5+322*B*c^3*m^5*x^7+3*A*a*c^2*m^7*x^4+343*A*c^3*m^5*x^6+90*B*a*c^2*m^6*x^5+1960*B*c^3*m^4*x^7+93*A*a*c^2*m^6*x^4+2135*A*c^3*m^4*x^6+3*B*a^2*c*m^7*x^3+1098*B*a*c^2*m^5*x^5+6769*B*c^3*m^3*x^7+3*A*a^2*c*m^7*x^2+1173*A*a*c^2*m^5*x^4+7504*A*c^3*m^3*x^6+96*B*a^2*c*m^6*x^3+7020*B*a*c^2*m^4*x^5+13132*B*c^3*m^2*x^7+99*A*a^2*c*m^6*x^2+7743*A*a*c^2*m^4*x^4+14756*A*c^3*m^2*x^6+B*a^3*m^7*x+1254*B*a^2*c*m^5*x^3+25227*B*a*c^2*m^3*x^5+13068*B*c^3*m*x^7+A*a^3*m^7+1341*A*a^2*c*m^5*x^2+28632*A*a*c^2*m^3*x^4+14832*A*c^3*m*x^6+34*B*a^3*m^6*x+8592*B*a^2*c*m^4*x^3+50490*B*a*c^2*m^2*x^5+5040*B*c^3*x^7+35*A*a^3*m^6+9585*A*a^2*c*m^4*x^2+58692*A*a*c^2*m^2*x^4+5760*A*c^3*x^6+478*B*a^3*m^5*x+32979*B*a^2*c*m^3*x^3+51432*B*a*c^2*m*x^5+511*A*a^3*m^5+38592*A*a^2*c*m^3*x^2+60912*A*a*c^2*m*x^4+3580*B*a^3*m^4*x+69936*B*a^2*c*m^2*x^3+20160*B*a*c^2*x^5+4025*A*a^3*m^4+86076*A*a^2*c*m^2*x^2+24192*A*a*c^2*x^4+15289*B*a^3*m^3*x+74628*B*a^2*c*m*x^3+18424*A*a^3*m^3+96144*A*a^2*c*m*x^2+36706*B*a^3*m^2*x+30240*B*a^2*c*x^3+48860*A*a^3*m^2+40320*A*a^2*c*x^2+44712*B*a^3*m*x+69264*A*a^3*m+20160*B*a^3*x+40320*A*a^3)*(e*x)^m/(m+8)/(m+7)/(m+6)/(m+5)/(m+4)/(m+3)/(m+2)/(m+1)","B"
487,1,395,121,0.047000," ","int((e*x)^m*(B*x+A)*(c*x^2+a)^2,x)","\frac{\left(B \,c^{2} m^{5} x^{5}+A \,c^{2} m^{5} x^{4}+15 B \,c^{2} m^{4} x^{5}+16 A \,c^{2} m^{4} x^{4}+2 B a c \,m^{5} x^{3}+85 B \,c^{2} m^{3} x^{5}+2 A a c \,m^{5} x^{2}+95 A \,c^{2} m^{3} x^{4}+34 B a c \,m^{4} x^{3}+225 B \,c^{2} m^{2} x^{5}+36 A a c \,m^{4} x^{2}+260 A \,c^{2} m^{2} x^{4}+B \,a^{2} m^{5} x +214 B a c \,m^{3} x^{3}+274 B \,c^{2} m \,x^{5}+A \,a^{2} m^{5}+242 A a c \,m^{3} x^{2}+324 A \,c^{2} m \,x^{4}+19 B \,a^{2} m^{4} x +614 B a c \,m^{2} x^{3}+120 B \,c^{2} x^{5}+20 A \,a^{2} m^{4}+744 A a c \,m^{2} x^{2}+144 A \,c^{2} x^{4}+137 B \,a^{2} m^{3} x +792 B a c m \,x^{3}+155 A \,a^{2} m^{3}+1016 A a c m \,x^{2}+461 B \,a^{2} m^{2} x +360 B a c \,x^{3}+580 A \,a^{2} m^{2}+480 A a c \,x^{2}+702 B \,a^{2} m x +1044 A \,a^{2} m +360 B \,a^{2} x +720 A \,a^{2}\right) x \left(e x \right)^{m}}{\left(m +6\right) \left(m +5\right) \left(m +4\right) \left(m +3\right) \left(m +2\right) \left(m +1\right)}"," ",0,"x*(B*c^2*m^5*x^5+A*c^2*m^5*x^4+15*B*c^2*m^4*x^5+16*A*c^2*m^4*x^4+2*B*a*c*m^5*x^3+85*B*c^2*m^3*x^5+2*A*a*c*m^5*x^2+95*A*c^2*m^3*x^4+34*B*a*c*m^4*x^3+225*B*c^2*m^2*x^5+36*A*a*c*m^4*x^2+260*A*c^2*m^2*x^4+B*a^2*m^5*x+214*B*a*c*m^3*x^3+274*B*c^2*m*x^5+A*a^2*m^5+242*A*a*c*m^3*x^2+324*A*c^2*m*x^4+19*B*a^2*m^4*x+614*B*a*c*m^2*x^3+120*B*c^2*x^5+20*A*a^2*m^4+744*A*a*c*m^2*x^2+144*A*c^2*x^4+137*B*a^2*m^3*x+792*B*a*c*m*x^3+155*A*a^2*m^3+1016*A*a*c*m*x^2+461*B*a^2*m^2*x+360*B*a*c*x^3+580*A*a^2*m^2+480*A*a*c*x^2+702*B*a^2*m*x+1044*A*a^2*m+360*B*a^2*x+720*A*a^2)*(e*x)^m/(m+6)/(m+5)/(m+4)/(m+3)/(m+2)/(m+1)","B"
488,1,145,73,0.047000," ","int((e*x)^m*(B*x+A)*(c*x^2+a),x)","\frac{\left(B c \,m^{3} x^{3}+A c \,m^{3} x^{2}+6 B c \,m^{2} x^{3}+7 A c \,m^{2} x^{2}+B a \,m^{3} x +11 B c m \,x^{3}+A a \,m^{3}+14 A c m \,x^{2}+8 B a \,m^{2} x +6 B c \,x^{3}+9 A a \,m^{2}+8 A c \,x^{2}+19 B a m x +26 A a m +12 B a x +24 A a \right) x \left(e x \right)^{m}}{\left(m +4\right) \left(m +3\right) \left(m +2\right) \left(m +1\right)}"," ",0,"x*(B*c*m^3*x^3+A*c*m^3*x^2+6*B*c*m^2*x^3+7*A*c*m^2*x^2+B*a*m^3*x+11*B*c*m*x^3+A*a*m^3+14*A*c*m*x^2+8*B*a*m^2*x+6*B*c*x^3+9*A*a*m^2+8*A*c*x^2+19*B*a*m*x+26*A*a*m+12*B*a*x+24*A*a)*(e*x)^m/(m+4)/(m+3)/(m+2)/(m+1)","A"
489,0,0,87,0.706000," ","int((e*x)^m*(B*x+A)/(c*x^2+a),x)","\int \frac{\left(B x +A \right) \left(e x \right)^{m}}{c \,x^{2}+a}\, dx"," ",0,"int((e*x)^m*(B*x+A)/(c*x^2+a),x)","F"
490,0,0,87,0.659000," ","int((e*x)^m*(B*x+A)/(c*x^2+a)^2,x)","\int \frac{\left(B x +A \right) \left(e x \right)^{m}}{\left(c \,x^{2}+a \right)^{2}}\, dx"," ",0,"int((e*x)^m*(B*x+A)/(c*x^2+a)^2,x)","F"
491,0,0,87,0.732000," ","int((e*x)^m*(B*x+A)/(c*x^2+a)^3,x)","\int \frac{\left(B x +A \right) \left(e x \right)^{m}}{\left(c \,x^{2}+a \right)^{3}}\, dx"," ",0,"int((e*x)^m*(B*x+A)/(c*x^2+a)^3,x)","F"
492,0,0,129,0.698000," ","int((e*x)^m*(B*x+A)*(c*x^2+a)^(5/2),x)","\int \left(B x +A \right) \left(c \,x^{2}+a \right)^{\frac{5}{2}} \left(e x \right)^{m}\, dx"," ",0,"int((e*x)^m*(B*x+A)*(c*x^2+a)^(5/2),x)","F"
493,0,0,125,1.150000," ","int((e*x)^m*(B*x+A)*(c*x^2+a)^(3/2),x)","\int \left(B x +A \right) \left(c \,x^{2}+a \right)^{\frac{3}{2}} \left(e x \right)^{m}\, dx"," ",0,"int((e*x)^m*(B*x+A)*(c*x^2+a)^(3/2),x)","F"
494,0,0,123,0.694000," ","int((e*x)^m*(B*x+A)*(c*x^2+a)^(1/2),x)","\int \left(B x +A \right) \sqrt{c \,x^{2}+a}\, \left(e x \right)^{m}\, dx"," ",0,"int((e*x)^m*(B*x+A)*(c*x^2+a)^(1/2),x)","F"
495,0,0,123,0.658000," ","int((e*x)^m*(B*x+A)/(c*x^2+a)^(1/2),x)","\int \frac{\left(B x +A \right) \left(e x \right)^{m}}{\sqrt{c \,x^{2}+a}}\, dx"," ",0,"int((e*x)^m*(B*x+A)/(c*x^2+a)^(1/2),x)","F"
496,0,0,129,0.665000," ","int((e*x)^m*(B*x+A)/(c*x^2+a)^(3/2),x)","\int \frac{\left(B x +A \right) \left(e x \right)^{m}}{\left(c \,x^{2}+a \right)^{\frac{3}{2}}}\, dx"," ",0,"int((e*x)^m*(B*x+A)/(c*x^2+a)^(3/2),x)","F"
497,0,0,129,0.674000," ","int((e*x)^m*(B*x+A)/(c*x^2+a)^(5/2),x)","\int \frac{\left(B x +A \right) \left(e x \right)^{m}}{\left(c \,x^{2}+a \right)^{\frac{5}{2}}}\, dx"," ",0,"int((e*x)^m*(B*x+A)/(c*x^2+a)^(5/2),x)","F"
498,1,177,66,0.722000," ","int(x^m*(a*x+1)/(-a^2*x^2+1)^2,x)","\frac{\left(\frac{2 \left(-\frac{m^{2}}{4}+\frac{1}{4}\right) x^{m +1} \left(-a^{2}\right)^{\frac{m}{2}+\frac{1}{2}} \Phi \left(a^{2} x^{2}, 1, \frac{m}{2}+\frac{1}{2}\right)}{m +1}-\frac{2 \left(-m -1\right) x^{m +1} \left(-a^{2}\right)^{\frac{m}{2}+\frac{1}{2}}}{\left(m +1\right) \left(-2 a^{2} x^{2}+2\right)}\right) \left(-a^{2}\right)^{-\frac{m}{2}-\frac{1}{2}}}{2}-\frac{\left(\frac{m \,x^{m} \left(-a^{2}\right)^{\frac{m}{2}} \Phi \left(a^{2} x^{2}, 1, \frac{m}{2}\right)}{2}+\frac{\left(-m -2\right) x^{m} \left(-a^{2}\right)^{\frac{m}{2}}}{\left(m +2\right) \left(-a^{2} x^{2}+1\right)}\right) \left(-a^{2}\right)^{-\frac{m}{2}}}{2 a}"," ",0,"-1/2*(-a^2)^(-1/2*m)/a*(1/(m+2)*x^m*(-a^2)^(1/2*m)*(-m-2)/(-a^2*x^2+1)+1/2*x^m*(-a^2)^(1/2*m)*m*LerchPhi(a^2*x^2,1,1/2*m))+1/2*(-a^2)^(-1/2-1/2*m)*(-2/(m+1)*x^(m+1)*(-a^2)^(1/2+1/2*m)*(-1-m)/(-2*a^2*x^2+2)+2/(m+1)*x^(m+1)*(-a^2)^(1/2+1/2*m)*(-1/4*m^2+1/4)*LerchPhi(a^2*x^2,1,1/2+1/2*m))","C"
499,0,0,66,0.868000," ","int(x^m/(-a*x+1)^2/(a*x+1),x)","\int \frac{x^{m}}{\left(-a x +1\right)^{2} \left(a x +1\right)}\, dx"," ",0,"int(x^m/(-a*x+1)^2/(a*x+1),x)","F"
500,1,177,66,0.842000," ","int(x^m/(-a^2*x^2+1)^2+a*x^(m+1)/(-a^2*x^2+1)^2,x)","\frac{\left(\frac{2 \left(-\frac{m^{2}}{4}+\frac{1}{4}\right) x^{m +1} \left(-a^{2}\right)^{\frac{m}{2}+\frac{1}{2}} \Phi \left(a^{2} x^{2}, 1, \frac{m}{2}+\frac{1}{2}\right)}{m +1}-\frac{2 \left(-m -1\right) x^{m +1} \left(-a^{2}\right)^{\frac{m}{2}+\frac{1}{2}}}{\left(m +1\right) \left(-2 a^{2} x^{2}+2\right)}\right) \left(-a^{2}\right)^{-\frac{m}{2}-\frac{1}{2}}}{2}-\frac{\left(\frac{m \,x^{m} \left(-a^{2}\right)^{\frac{m}{2}} \Phi \left(a^{2} x^{2}, 1, \frac{m}{2}\right)}{2}+\frac{\left(-m -2\right) x^{m} \left(-a^{2}\right)^{\frac{m}{2}}}{\left(m +2\right) \left(-a^{2} x^{2}+1\right)}\right) \left(-a^{2}\right)^{-\frac{m}{2}}}{2 a}"," ",0,"1/2*(2/(m+1)*(-1/4*m^2+1/4)*x^(m+1)*(-a^2)^(1/2*m+1/2)*LerchPhi(a^2*x^2,1,1/2*m+1/2)-2/(m+1)*(-m-1)/(-2*a^2*x^2+2)*x^(m+1)*(-a^2)^(1/2*m+1/2))*(-a^2)^(-1/2*m-1/2)-1/2*(1/2*m*x^m*(-a^2)^(1/2*m)*LerchPhi(a^2*x^2,1,1/2*m)+1/(m+2)*(-m-2)/(-a^2*x^2+1)*x^m*(-a^2)^(1/2*m))/a*(-a^2)^(-1/2*m)","C"
501,0,0,66,0.813000," ","int(x^m/(-a*x+1)/(-a^2*x^2+1),x)","\int \frac{x^{m}}{\left(-a x +1\right) \left(-a^{2} x^{2}+1\right)}\, dx"," ",0,"int(x^m/(-a*x+1)/(-a^2*x^2+1),x)","F"
502,0,0,131,0.785000," ","int((e*x)^m*(B*x+A)*(c*x^2+a)^p,x)","\int \left(B x +A \right) \left(e x \right)^{m} \left(c \,x^{2}+a \right)^{p}\, dx"," ",0,"int((e*x)^m*(B*x+A)*(c*x^2+a)^p,x)","F"
503,0,0,92,0.768000," ","int(x^3*(e*x+d)*(c*x^2+a)^p,x)","\int \left(e x +d \right) x^{3} \left(c \,x^{2}+a \right)^{p}\, dx"," ",0,"int(x^3*(e*x+d)*(c*x^2+a)^p,x)","F"
504,0,0,92,1.070000," ","int(x^2*(e*x+d)*(c*x^2+a)^p,x)","\int \left(e x +d \right) x^{2} \left(c \,x^{2}+a \right)^{p}\, dx"," ",0,"int(x^2*(e*x+d)*(c*x^2+a)^p,x)","F"
505,0,0,69,0.856000," ","int(x*(e*x+d)*(c*x^2+a)^p,x)","\int \left(e x +d \right) x \left(c \,x^{2}+a \right)^{p}\, dx"," ",0,"int(x*(e*x+d)*(c*x^2+a)^p,x)","F"
506,0,0,66,0.046000," ","int((e*x+d)*(c*x^2+a)^p,x)","\int \left(e x +d \right) \left(c \,x^{2}+a \right)^{p}\, dx"," ",0,"int((e*x+d)*(c*x^2+a)^p,x)","F"
507,0,0,86,0.660000," ","int((e*x+d)*(c*x^2+a)^p/x,x)","\int \frac{\left(e x +d \right) \left(c \,x^{2}+a \right)^{p}}{x}\, dx"," ",0,"int((e*x+d)*(c*x^2+a)^p/x,x)","F"
508,0,0,89,0.662000," ","int((e*x+d)*(c*x^2+a)^p/x^2,x)","\int \frac{\left(e x +d \right) \left(c \,x^{2}+a \right)^{p}}{x^{2}}\, dx"," ",0,"int((e*x+d)*(c*x^2+a)^p/x^2,x)","F"
509,0,0,90,0.622000," ","int((e*x+d)*(c*x^2+a)^p/x^3,x)","\int \frac{\left(e x +d \right) \left(c \,x^{2}+a \right)^{p}}{x^{3}}\, dx"," ",0,"int((e*x+d)*(c*x^2+a)^p/x^3,x)","F"
510,1,52,47,0.042000," ","int(x^4*(B*x+A)*(b^2*x^2+2*a*b*x+a^2),x)","\frac{B \,b^{2} x^{8}}{8}+\frac{A \,a^{2} x^{5}}{5}+\frac{\left(A \,b^{2}+2 a b B \right) x^{7}}{7}+\frac{\left(2 A a b +a^{2} B \right) x^{6}}{6}"," ",0,"1/8*B*b^2*x^8+1/7*(A*b^2+2*B*a*b)*x^7+1/6*(2*A*a*b+B*a^2)*x^6+1/5*a^2*A*x^5","A"
511,1,52,47,0.046000," ","int(x^3*(B*x+A)*(b^2*x^2+2*a*b*x+a^2),x)","\frac{B \,b^{2} x^{7}}{7}+\frac{A \,a^{2} x^{4}}{4}+\frac{\left(A \,b^{2}+2 a b B \right) x^{6}}{6}+\frac{\left(2 A a b +a^{2} B \right) x^{5}}{5}"," ",0,"1/7*B*b^2*x^7+1/6*(A*b^2+2*B*a*b)*x^6+1/5*(2*A*a*b+B*a^2)*x^5+1/4*A*a^2*x^4","A"
512,1,52,47,0.040000," ","int(x^2*(B*x+A)*(b^2*x^2+2*a*b*x+a^2),x)","\frac{B \,b^{2} x^{6}}{6}+\frac{A \,a^{2} x^{3}}{3}+\frac{\left(A \,b^{2}+2 a b B \right) x^{5}}{5}+\frac{\left(2 A a b +a^{2} B \right) x^{4}}{4}"," ",0,"1/6*B*b^2*x^6+1/5*(A*b^2+2*B*a*b)*x^5+1/4*(2*A*a*b+B*a^2)*x^4+1/3*A*a^2*x^3","A"
513,1,52,47,0.042000," ","int(x*(B*x+A)*(b^2*x^2+2*a*b*x+a^2),x)","\frac{B \,b^{2} x^{5}}{5}+\frac{A \,a^{2} x^{2}}{2}+\frac{\left(A \,b^{2}+2 a b B \right) x^{4}}{4}+\frac{\left(2 A a b +a^{2} B \right) x^{3}}{3}"," ",0,"1/5*B*b^2*x^5+1/4*(A*b^2+2*B*a*b)*x^4+1/3*(2*A*a*b+B*a^2)*x^3+1/2*A*a^2*x^2","A"
514,1,49,34,0.040000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2),x)","\frac{B \,b^{2} x^{4}}{4}+A \,a^{2} x +\frac{\left(A \,b^{2}+2 a b B \right) x^{3}}{3}+\frac{\left(2 A a b +a^{2} B \right) x^{2}}{2}"," ",0,"1/4*B*b^2*x^4+1/3*(A*b^2+2*B*a*b)*x^3+1/2*(2*A*a*b+B*a^2)*x^2+A*a^2*x","A"
515,1,46,36,0.059000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x,x)","\frac{B \,b^{2} x^{3}}{3}+\frac{A \,b^{2} x^{2}}{2}+B a b \,x^{2}+A \,a^{2} \ln \left(x \right)+2 A a b x +B \,a^{2} x"," ",0,"1/3*B*b^2*x^3+1/2*A*b^2*x^2+B*a*b*x^2+2*a*A*b*x+B*a^2*x+A*a^2*ln(x)","A"
516,1,46,42,0.061000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x^2,x)","\frac{B \,b^{2} x^{2}}{2}+2 A a b \ln \left(x \right)+A \,b^{2} x +B \,a^{2} \ln \left(x \right)+2 B a b x -\frac{A \,a^{2}}{x}"," ",0,"1/2*B*b^2*x^2+A*b^2*x+2*a*b*B*x-A*a^2/x+2*A*ln(x)*a*b+B*a^2*ln(x)","A"
517,1,48,42,0.047000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x^3,x)","A \,b^{2} \ln \left(x \right)+2 B a b \ln \left(x \right)+B \,b^{2} x -\frac{2 A a b}{x}-\frac{B \,a^{2}}{x}-\frac{A \,a^{2}}{2 x^{2}}"," ",0,"B*b^2*x-1/2*A*a^2/x^2-2*a/x*A*b-B*a^2/x+A*b^2*ln(x)+2*B*ln(x)*a*b","A"
518,1,52,45,0.053000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x^4,x)","B \,b^{2} \ln \left(x \right)-\frac{A \,b^{2}}{x}-\frac{2 B a b}{x}-\frac{A a b}{x^{2}}-\frac{B \,a^{2}}{2 x^{2}}-\frac{A \,a^{2}}{3 x^{3}}"," ",0,"-1/3*A*a^2/x^3-a/x^2*A*b-1/2*B*a^2/x^2-A*b^2/x-2*b/x*B*a+B*b^2*ln(x)","A"
519,1,48,40,0.048000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x^5,x)","-\frac{B \,b^{2}}{x}-\frac{A \,a^{2}}{4 x^{4}}-\frac{\left(A b +2 B a \right) b}{2 x^{2}}-\frac{\left(2 A b +B a \right) a}{3 x^{3}}"," ",0,"-1/4*A*a^2/x^4-1/3*a*(2*A*b+B*a)/x^3-1/2*(A*b+2*B*a)*b/x^2-b^2*B/x","A"
520,1,48,47,0.053000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x^6,x)","-\frac{B \,b^{2}}{2 x^{2}}-\frac{A \,a^{2}}{5 x^{5}}-\frac{\left(A b +2 B a \right) b}{3 x^{3}}-\frac{\left(2 A b +B a \right) a}{4 x^{4}}"," ",0,"-1/5*A*a^2/x^5-1/4*(2*A*b+B*a)*a/x^4-1/3*b*(A*b+2*B*a)/x^3-1/2*B*b^2/x^2","A"
521,1,48,47,0.051000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x^7,x)","-\frac{B \,b^{2}}{3 x^{3}}-\frac{A \,a^{2}}{6 x^{6}}-\frac{\left(A b +2 B a \right) b}{4 x^{4}}-\frac{\left(2 A b +B a \right) a}{5 x^{5}}"," ",0,"-1/6*A*a^2/x^6-1/5*(2*A*b+B*a)*a/x^5-1/4*b*(A*b+2*B*a)/x^4-1/3*b^2*B/x^3","A"
522,1,48,47,0.050000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x^8,x)","-\frac{B \,b^{2}}{4 x^{4}}-\frac{A \,a^{2}}{7 x^{7}}-\frac{\left(A b +2 B a \right) b}{5 x^{5}}-\frac{\left(2 A b +B a \right) a}{6 x^{6}}"," ",0,"-1/7*A*a^2/x^7-1/6*a*(2*A*b+B*a)/x^6-1/5*b*(A*b+2*B*a)/x^5-1/4*b^2*B/x^4","A"
523,1,100,87,0.043000," ","int(x^4*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{B \,b^{4} x^{10}}{10}+\frac{A \,a^{4} x^{5}}{5}+\frac{\left(A \,b^{4}+4 B a \,b^{3}\right) x^{9}}{9}+\frac{\left(4 A a \,b^{3}+6 B \,a^{2} b^{2}\right) x^{8}}{8}+\frac{\left(6 A \,a^{2} b^{2}+4 B \,a^{3} b \right) x^{7}}{7}+\frac{\left(4 A \,a^{3} b +B \,a^{4}\right) x^{6}}{6}"," ",0,"1/10*b^4*B*x^10+1/9*(A*b^4+4*B*a*b^3)*x^9+1/8*(4*A*a*b^3+6*B*a^2*b^2)*x^8+1/7*(6*A*a^2*b^2+4*B*a^3*b)*x^7+1/6*(4*A*a^3*b+B*a^4)*x^6+1/5*a^4*A*x^5","A"
524,1,100,87,0.069000," ","int(x^3*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{B \,b^{4} x^{9}}{9}+\frac{A \,a^{4} x^{4}}{4}+\frac{\left(A \,b^{4}+4 B a \,b^{3}\right) x^{8}}{8}+\frac{\left(4 A a \,b^{3}+6 B \,a^{2} b^{2}\right) x^{7}}{7}+\frac{\left(6 A \,a^{2} b^{2}+4 B \,a^{3} b \right) x^{6}}{6}+\frac{\left(4 A \,a^{3} b +B \,a^{4}\right) x^{5}}{5}"," ",0,"1/9*b^4*B*x^9+1/8*(A*b^4+4*B*a*b^3)*x^8+1/7*(4*A*a*b^3+6*B*a^2*b^2)*x^7+1/6*(6*A*a^2*b^2+4*B*a^3*b)*x^6+1/5*(4*A*a^3*b+B*a^4)*x^5+1/4*A*a^4*x^4","A"
525,1,100,79,0.047000," ","int(x^2*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{B \,b^{4} x^{8}}{8}+\frac{A \,a^{4} x^{3}}{3}+\frac{\left(A \,b^{4}+4 B a \,b^{3}\right) x^{7}}{7}+\frac{\left(4 A a \,b^{3}+6 B \,a^{2} b^{2}\right) x^{6}}{6}+\frac{\left(6 A \,a^{2} b^{2}+4 B \,a^{3} b \right) x^{5}}{5}+\frac{\left(4 A \,a^{3} b +B \,a^{4}\right) x^{4}}{4}"," ",0,"1/8*b^4*B*x^8+1/7*(A*b^4+4*B*a*b^3)*x^7+1/6*(4*A*a*b^3+6*B*a^2*b^2)*x^6+1/5*(6*A*a^2*b^2+4*B*a^3*b)*x^5+1/4*(4*A*a^3*b+B*a^4)*x^4+1/3*A*a^4*x^3","A"
526,1,100,55,0.046000," ","int(x*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{B \,b^{4} x^{7}}{7}+\frac{A \,a^{4} x^{2}}{2}+\frac{\left(A \,b^{4}+4 B a \,b^{3}\right) x^{6}}{6}+\frac{\left(4 A a \,b^{3}+6 B \,a^{2} b^{2}\right) x^{5}}{5}+\frac{\left(6 A \,a^{2} b^{2}+4 B \,a^{3} b \right) x^{4}}{4}+\frac{\left(4 A \,a^{3} b +B \,a^{4}\right) x^{3}}{3}"," ",0,"1/7*b^4*B*x^7+1/6*(A*b^4+4*B*a*b^3)*x^6+1/5*(4*A*a*b^3+6*B*a^2*b^2)*x^5+1/4*(6*A*a^2*b^2+4*B*a^3*b)*x^4+1/3*(4*A*a^3*b+B*a^4)*x^3+1/2*A*a^4*x^2","A"
527,1,97,34,0.040000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{B \,b^{4} x^{6}}{6}+A \,a^{4} x +\frac{\left(A \,b^{4}+4 B a \,b^{3}\right) x^{5}}{5}+\frac{\left(4 A a \,b^{3}+6 B \,a^{2} b^{2}\right) x^{4}}{4}+\frac{\left(6 A \,a^{2} b^{2}+4 B \,a^{3} b \right) x^{3}}{3}+\frac{\left(4 A \,a^{3} b +B \,a^{4}\right) x^{2}}{2}"," ",0,"1/6*b^4*B*x^6+1/5*(A*b^4+4*B*a*b^3)*x^5+1/4*(4*A*a*b^3+6*B*a^2*b^2)*x^4+1/3*(6*A*a^2*b^2+4*B*a^3*b)*x^3+1/2*(4*A*a^3*b+B*a^4)*x^2+A*a^4*x","B"
528,1,94,60,0.047000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x,x)","\frac{B \,b^{4} x^{5}}{5}+\frac{A \,b^{4} x^{4}}{4}+B a \,b^{3} x^{4}+\frac{4 A a \,b^{3} x^{3}}{3}+2 B \,a^{2} b^{2} x^{3}+3 A \,a^{2} b^{2} x^{2}+2 B \,a^{3} b \,x^{2}+A \,a^{4} \ln \left(x \right)+4 A \,a^{3} b x +B \,a^{4} x"," ",0,"1/5*b^4*B*x^5+1/4*A*b^4*x^4+B*x^4*a*b^3+4/3*a*A*b^3*x^3+2*B*x^3*a^2*b^2+3*a^2*A*b^2*x^2+2*B*x^2*a^3*b+4*a^3*A*b*x+B*a^4*x+A*a^4*ln(x)","A"
529,1,95,82,0.051000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^2,x)","\frac{B \,b^{4} x^{4}}{4}+\frac{A \,b^{4} x^{3}}{3}+\frac{4 B a \,b^{3} x^{3}}{3}+2 A a \,b^{3} x^{2}+3 B \,a^{2} b^{2} x^{2}+4 A \,a^{3} b \ln \left(x \right)+6 A \,a^{2} b^{2} x +B \,a^{4} \ln \left(x \right)+4 B \,a^{3} b x -\frac{A \,a^{4}}{x}"," ",0,"1/4*b^4*B*x^4+1/3*A*x^3*b^4+4/3*B*x^3*a*b^3+2*A*x^2*a*b^3+3*B*x^2*a^2*b^2+6*A*a^2*b^2*x+4*B*a^3*b*x-A*a^4/x+4*A*ln(x)*a^3*b+B*a^4*ln(x)","A"
530,1,96,84,0.056000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^3,x)","\frac{B \,b^{4} x^{3}}{3}+\frac{A \,b^{4} x^{2}}{2}+2 B a \,b^{3} x^{2}+6 A \,a^{2} b^{2} \ln \left(x \right)+4 A a \,b^{3} x +4 B \,a^{3} b \ln \left(x \right)+6 B \,a^{2} b^{2} x -\frac{4 A \,a^{3} b}{x}-\frac{B \,a^{4}}{x}-\frac{A \,a^{4}}{2 x^{2}}"," ",0,"1/3*b^4*B*x^3+1/2*A*x^2*b^4+2*B*x^2*a*b^3+4*A*a*b^3*x+6*B*a^2*b^2*x-1/2*A*a^4/x^2-4*a^3/x*A*b-B*a^4/x+6*A*ln(x)*a^2*b^2+4*B*ln(x)*a^3*b","A"
531,1,95,83,0.051000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^4,x)","\frac{B \,b^{4} x^{2}}{2}+4 A a \,b^{3} \ln \left(x \right)+A \,b^{4} x +6 B \,a^{2} b^{2} \ln \left(x \right)+4 B a \,b^{3} x -\frac{6 A \,a^{2} b^{2}}{x}-\frac{4 B \,a^{3} b}{x}-\frac{2 A \,a^{3} b}{x^{2}}-\frac{B \,a^{4}}{2 x^{2}}-\frac{A \,a^{4}}{3 x^{3}}"," ",0,"1/2*b^4*B*x^2+A*b^4*x+4*B*a*b^3*x-1/3*a^4*A/x^3-2*a^3/x^2*A*b-1/2*a^4/x^2*B-6*a^2*b^2/x*A-4*a^3*b/x*B+4*A*ln(x)*a*b^3+6*B*ln(x)*a^2*b^2","A"
532,1,96,82,0.053000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^5,x)","A \,b^{4} \ln \left(x \right)+4 B a \,b^{3} \ln \left(x \right)+B \,b^{4} x -\frac{4 A a \,b^{3}}{x}-\frac{6 B \,a^{2} b^{2}}{x}-\frac{3 A \,a^{2} b^{2}}{x^{2}}-\frac{2 B \,a^{3} b}{x^{2}}-\frac{4 A \,a^{3} b}{3 x^{3}}-\frac{B \,a^{4}}{3 x^{3}}-\frac{A \,a^{4}}{4 x^{4}}"," ",0,"b^4*B*x-1/4*a^4*A/x^4-4/3*a^3/x^3*A*b-1/3*a^4/x^3*B-3*a^2*b^2/x^2*A-2*a^3*b/x^2*B-4*a*b^3/x*A-6*a^2*b^2/x*B+A*ln(x)*b^4+4*B*ln(x)*a*b^3","A"
533,1,100,65,0.059000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^6,x)","B \,b^{4} \ln \left(x \right)-\frac{A \,b^{4}}{x}-\frac{4 B a \,b^{3}}{x}-\frac{2 A a \,b^{3}}{x^{2}}-\frac{3 B \,a^{2} b^{2}}{x^{2}}-\frac{2 A \,a^{2} b^{2}}{x^{3}}-\frac{4 B \,a^{3} b}{3 x^{3}}-\frac{A \,a^{3} b}{x^{4}}-\frac{B \,a^{4}}{4 x^{4}}-\frac{A \,a^{4}}{5 x^{5}}"," ",0,"-1/5*A*a^4/x^5-a^3/x^4*A*b-1/4*a^4*B/x^4-2*a^2*b^2/x^3*A-4/3*a^3*b*B/x^3-2*a*b^3/x^2*A-3*a^2*b^2*B/x^2-b^4/x*A-4*a*b^3*B/x+b^4*B*ln(x)","A"
534,1,88,40,0.063000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^7,x)","-\frac{B \,b^{4}}{x}-\frac{\left(A b +4 B a \right) b^{3}}{2 x^{2}}-\frac{2 \left(2 A b +3 B a \right) a \,b^{2}}{3 x^{3}}-\frac{A \,a^{4}}{6 x^{6}}-\frac{\left(3 A b +2 B a \right) a^{2} b}{2 x^{4}}-\frac{\left(4 A b +B a \right) a^{3}}{5 x^{5}}"," ",0,"-1/5*a^3*(4*A*b+B*a)/x^5-1/2*a^2*b*(3*A*b+2*B*a)/x^4-2/3*a*b^2*(2*A*b+3*B*a)/x^3-1/2*b^3*(A*b+4*B*a)/x^2-1/6*A*a^4/x^6-b^4*B/x","B"
535,1,88,87,0.051000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^8,x)","-\frac{B \,b^{4}}{2 x^{2}}-\frac{\left(A b +4 B a \right) b^{3}}{3 x^{3}}-\frac{\left(2 A b +3 B a \right) a \,b^{2}}{2 x^{4}}-\frac{A \,a^{4}}{7 x^{7}}-\frac{2 \left(3 A b +2 B a \right) a^{2} b}{5 x^{5}}-\frac{\left(4 A b +B a \right) a^{3}}{6 x^{6}}"," ",0,"-1/7*a^4*A/x^7-1/6*a^3*(4*A*b+B*a)/x^6-2/5*a^2*b*(3*A*b+2*B*a)/x^5-1/2*a*b^2*(2*A*b+3*B*a)/x^4-1/3*b^3*(A*b+4*B*a)/x^3-1/2*b^4*B/x^2","A"
536,1,88,87,0.053000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^9,x)","-\frac{B \,b^{4}}{3 x^{3}}-\frac{\left(A b +4 B a \right) b^{3}}{4 x^{4}}-\frac{2 \left(2 A b +3 B a \right) a \,b^{2}}{5 x^{5}}-\frac{A \,a^{4}}{8 x^{8}}-\frac{\left(3 A b +2 B a \right) a^{2} b}{3 x^{6}}-\frac{\left(4 A b +B a \right) a^{3}}{7 x^{7}}"," ",0,"-1/8*a^4*A/x^8-1/7*a^3*(4*A*b+B*a)/x^7-1/3*a^2*b*(3*A*b+2*B*a)/x^6-2/5*a*b^2*(2*A*b+3*B*a)/x^5-1/4*b^3*(A*b+4*B*a)/x^4-1/3*b^4*B/x^3","A"
537,1,88,87,0.054000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^10,x)","-\frac{B \,b^{4}}{4 x^{4}}-\frac{\left(A b +4 B a \right) b^{3}}{5 x^{5}}-\frac{\left(2 A b +3 B a \right) a \,b^{2}}{3 x^{6}}-\frac{A \,a^{4}}{9 x^{9}}-\frac{2 \left(3 A b +2 B a \right) a^{2} b}{7 x^{7}}-\frac{\left(4 A b +B a \right) a^{3}}{8 x^{8}}"," ",0,"-1/9*a^4*A/x^9-1/8*a^3*(4*A*b+B*a)/x^8-2/7*a^2*b*(3*A*b+2*B*a)/x^7-1/3*a*b^2*(2*A*b+3*B*a)/x^6-1/5*b^3*(A*b+4*B*a)/x^5-1/4*b^4*B/x^4","A"
538,1,88,87,0.061000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^11,x)","-\frac{B \,b^{4}}{5 x^{5}}-\frac{\left(A b +4 B a \right) b^{3}}{6 x^{6}}-\frac{2 \left(2 A b +3 B a \right) a \,b^{2}}{7 x^{7}}-\frac{A \,a^{4}}{10 x^{10}}-\frac{\left(3 A b +2 B a \right) a^{2} b}{4 x^{8}}-\frac{\left(4 A b +B a \right) a^{3}}{9 x^{9}}"," ",0,"-1/10*a^4*A/x^10-1/9*a^3*(4*A*b+B*a)/x^9-1/4*a^2*b*(3*A*b+2*B*a)/x^8-2/7*a*b^2*(2*A*b+3*B*a)/x^7-1/6*b^3*(A*b+4*B*a)/x^6-1/5*b^4*B/x^5","A"
539,1,148,127,0.046000," ","int(x^5*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{B \,b^{6} x^{13}}{13}+\frac{A \,a^{6} x^{6}}{6}+\frac{\left(A \,b^{6}+6 B a \,b^{5}\right) x^{12}}{12}+\frac{\left(6 A a \,b^{5}+15 B \,a^{2} b^{4}\right) x^{11}}{11}+\frac{\left(15 A \,a^{2} b^{4}+20 B \,a^{3} b^{3}\right) x^{10}}{10}+\frac{\left(20 A \,a^{3} b^{3}+15 B \,a^{4} b^{2}\right) x^{9}}{9}+\frac{\left(15 A \,a^{4} b^{2}+6 B \,a^{5} b \right) x^{8}}{8}+\frac{\left(6 A \,a^{5} b +B \,a^{6}\right) x^{7}}{7}"," ",0,"1/13*b^6*B*x^13+1/12*(A*b^6+6*B*a*b^5)*x^12+1/11*(6*A*a*b^5+15*B*a^2*b^4)*x^11+1/10*(15*A*a^2*b^4+20*B*a^3*b^3)*x^10+1/9*(20*A*a^3*b^3+15*B*a^4*b^2)*x^9+1/8*(15*A*a^4*b^2+6*B*a^5*b)*x^8+1/7*(6*A*a^5*b+B*a^6)*x^7+1/6*a^6*A*x^6","A"
540,1,148,127,0.045000," ","int(x^4*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{B \,b^{6} x^{12}}{12}+\frac{A \,a^{6} x^{5}}{5}+\frac{\left(A \,b^{6}+6 B a \,b^{5}\right) x^{11}}{11}+\frac{\left(6 A a \,b^{5}+15 B \,a^{2} b^{4}\right) x^{10}}{10}+\frac{\left(15 A \,a^{2} b^{4}+20 B \,a^{3} b^{3}\right) x^{9}}{9}+\frac{\left(20 A \,a^{3} b^{3}+15 B \,a^{4} b^{2}\right) x^{8}}{8}+\frac{\left(15 A \,a^{4} b^{2}+6 B \,a^{5} b \right) x^{7}}{7}+\frac{\left(6 A \,a^{5} b +B \,a^{6}\right) x^{6}}{6}"," ",0,"1/12*B*b^6*x^12+1/11*(A*b^6+6*B*a*b^5)*x^11+1/10*(6*A*a*b^5+15*B*a^2*b^4)*x^10+1/9*(15*A*a^2*b^4+20*B*a^3*b^3)*x^9+1/8*(20*A*a^3*b^3+15*B*a^4*b^2)*x^8+1/7*(15*A*a^4*b^2+6*B*a^5*b)*x^7+1/6*(6*A*a^5*b+B*a^6)*x^6+1/5*A*a^6*x^5","A"
541,1,148,102,0.040000," ","int(x^3*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{B \,b^{6} x^{11}}{11}+\frac{A \,a^{6} x^{4}}{4}+\frac{\left(A \,b^{6}+6 B a \,b^{5}\right) x^{10}}{10}+\frac{\left(6 A a \,b^{5}+15 B \,a^{2} b^{4}\right) x^{9}}{9}+\frac{\left(15 A \,a^{2} b^{4}+20 B \,a^{3} b^{3}\right) x^{8}}{8}+\frac{\left(20 A \,a^{3} b^{3}+15 B \,a^{4} b^{2}\right) x^{7}}{7}+\frac{\left(15 A \,a^{4} b^{2}+6 B \,a^{5} b \right) x^{6}}{6}+\frac{\left(6 A \,a^{5} b +B \,a^{6}\right) x^{5}}{5}"," ",0,"1/11*B*b^6*x^11+1/10*(A*b^6+6*B*a*b^5)*x^10+1/9*(6*A*a*b^5+15*B*a^2*b^4)*x^9+1/8*(15*A*a^2*b^4+20*B*a^3*b^3)*x^8+1/7*(20*A*a^3*b^3+15*B*a^4*b^2)*x^7+1/6*(15*A*a^4*b^2+6*B*a^5*b)*x^6+1/5*(6*A*a^5*b+B*a^6)*x^5+1/4*A*a^6*x^4","A"
542,1,148,79,0.040000," ","int(x^2*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{B \,b^{6} x^{10}}{10}+\frac{A \,a^{6} x^{3}}{3}+\frac{\left(A \,b^{6}+6 B a \,b^{5}\right) x^{9}}{9}+\frac{\left(6 A a \,b^{5}+15 B \,a^{2} b^{4}\right) x^{8}}{8}+\frac{\left(15 A \,a^{2} b^{4}+20 B \,a^{3} b^{3}\right) x^{7}}{7}+\frac{\left(20 A \,a^{3} b^{3}+15 B \,a^{4} b^{2}\right) x^{6}}{6}+\frac{\left(15 A \,a^{4} b^{2}+6 B \,a^{5} b \right) x^{5}}{5}+\frac{\left(6 A \,a^{5} b +B \,a^{6}\right) x^{4}}{4}"," ",0,"1/10*B*b^6*x^10+1/9*(A*b^6+6*B*a*b^5)*x^9+1/8*(6*A*a*b^5+15*B*a^2*b^4)*x^8+1/7*(15*A*a^2*b^4+20*B*a^3*b^3)*x^7+1/6*(20*A*a^3*b^3+15*B*a^4*b^2)*x^6+1/5*(15*A*a^4*b^2+6*B*a^5*b)*x^5+1/4*(6*A*a^5*b+B*a^6)*x^4+1/3*A*a^6*x^3","A"
543,1,148,55,0.041000," ","int(x*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{B \,b^{6} x^{9}}{9}+\frac{A \,a^{6} x^{2}}{2}+\frac{\left(A \,b^{6}+6 B a \,b^{5}\right) x^{8}}{8}+\frac{\left(6 A a \,b^{5}+15 B \,a^{2} b^{4}\right) x^{7}}{7}+\frac{\left(15 A \,a^{2} b^{4}+20 B \,a^{3} b^{3}\right) x^{6}}{6}+\frac{\left(20 A \,a^{3} b^{3}+15 B \,a^{4} b^{2}\right) x^{5}}{5}+\frac{\left(15 A \,a^{4} b^{2}+6 B \,a^{5} b \right) x^{4}}{4}+\frac{\left(6 A \,a^{5} b +B \,a^{6}\right) x^{3}}{3}"," ",0,"1/9*B*b^6*x^9+1/8*(A*b^6+6*B*a*b^5)*x^8+1/7*(6*A*a*b^5+15*B*a^2*b^4)*x^7+1/6*(15*A*a^2*b^4+20*B*a^3*b^3)*x^6+1/5*(20*A*a^3*b^3+15*B*a^4*b^2)*x^5+1/4*(15*A*a^4*b^2+6*B*a^5*b)*x^4+1/3*(6*A*a^5*b+B*a^6)*x^3+1/2*A*a^6*x^2","B"
544,1,145,34,0.045000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{B \,b^{6} x^{8}}{8}+A \,a^{6} x +\frac{\left(A \,b^{6}+6 B a \,b^{5}\right) x^{7}}{7}+\frac{\left(6 A a \,b^{5}+15 B \,a^{2} b^{4}\right) x^{6}}{6}+\frac{\left(15 A \,a^{2} b^{4}+20 B \,a^{3} b^{3}\right) x^{5}}{5}+\frac{\left(20 A \,a^{3} b^{3}+15 B \,a^{4} b^{2}\right) x^{4}}{4}+\frac{\left(15 A \,a^{4} b^{2}+6 B \,a^{5} b \right) x^{3}}{3}+\frac{\left(6 A \,a^{5} b +B \,a^{6}\right) x^{2}}{2}"," ",0,"1/8*B*b^6*x^8+1/7*(A*b^6+6*B*a*b^5)*x^7+1/6*(6*A*a*b^5+15*B*a^2*b^4)*x^6+1/5*(15*A*a^2*b^4+20*B*a^3*b^3)*x^5+1/4*(20*A*a^3*b^3+15*B*a^4*b^2)*x^4+1/3*(15*A*a^4*b^2+6*B*a^5*b)*x^3+1/2*(6*A*a^5*b+B*a^6)*x^2+A*a^6*x","B"
545,1,142,84,0.041000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x,x)","\frac{B \,b^{6} x^{7}}{7}+\frac{A \,b^{6} x^{6}}{6}+B a \,b^{5} x^{6}+\frac{6 A a \,b^{5} x^{5}}{5}+3 B \,a^{2} b^{4} x^{5}+\frac{15 A \,a^{2} b^{4} x^{4}}{4}+5 B \,a^{3} b^{3} x^{4}+\frac{20 A \,a^{3} b^{3} x^{3}}{3}+5 B \,a^{4} b^{2} x^{3}+\frac{15 A \,a^{4} b^{2} x^{2}}{2}+3 B \,a^{5} b \,x^{2}+A \,a^{6} \ln \left(x \right)+6 A \,a^{5} b x +B \,a^{6} x"," ",0,"1/7*B*b^6*x^7+1/6*A*b^6*x^6+B*x^6*a*b^5+6/5*a*A*b^5*x^5+3*B*x^5*a^2*b^4+15/4*a^2*A*b^4*x^4+5*B*x^4*a^3*b^3+20/3*a^3*A*b^3*x^3+5*B*x^3*a^4*b^2+15/2*a^4*A*b^2*x^2+3*B*x^2*a^5*b+6*a^5*A*b*x+B*a^6*x+a^6*A*ln(x)","A"
546,1,143,123,0.048000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^2,x)","\frac{B \,b^{6} x^{6}}{6}+\frac{A \,b^{6} x^{5}}{5}+\frac{6 B a \,b^{5} x^{5}}{5}+\frac{3 A a \,b^{5} x^{4}}{2}+\frac{15 B \,a^{2} b^{4} x^{4}}{4}+5 A \,a^{2} b^{4} x^{3}+\frac{20 B \,a^{3} b^{3} x^{3}}{3}+10 A \,a^{3} b^{3} x^{2}+\frac{15 B \,a^{4} b^{2} x^{2}}{2}+6 A \,a^{5} b \ln \left(x \right)+15 A \,a^{4} b^{2} x +B \,a^{6} \ln \left(x \right)+6 B \,a^{5} b x -\frac{A \,a^{6}}{x}"," ",0,"1/6*b^6*B*x^6+1/5*A*x^5*b^6+6/5*B*x^5*a*b^5+3/2*A*x^4*a*b^5+15/4*B*x^4*a^2*b^4+5*A*x^3*a^2*b^4+20/3*B*x^3*a^3*b^3+10*A*x^2*a^3*b^3+15/2*B*x^2*a^4*b^2+15*A*a^4*b^2*x+6*B*a^5*b*x-a^6*A/x+6*A*ln(x)*a^5*b+B*ln(x)*a^6","A"
547,1,144,123,0.058000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^3,x)","\frac{B \,b^{6} x^{5}}{5}+\frac{A \,b^{6} x^{4}}{4}+\frac{3 B a \,b^{5} x^{4}}{2}+2 A a \,b^{5} x^{3}+5 B \,a^{2} b^{4} x^{3}+\frac{15 A \,a^{2} b^{4} x^{2}}{2}+10 B \,a^{3} b^{3} x^{2}+15 A \,a^{4} b^{2} \ln \left(x \right)+20 A \,a^{3} b^{3} x +6 B \,a^{5} b \ln \left(x \right)+15 B \,a^{4} b^{2} x -\frac{6 A \,a^{5} b}{x}-\frac{B \,a^{6}}{x}-\frac{A \,a^{6}}{2 x^{2}}"," ",0,"1/5*b^6*B*x^5+1/4*A*x^4*b^6+3/2*B*x^4*a*b^5+2*A*x^3*a*b^5+5*B*x^3*a^2*b^4+15/2*A*x^2*a^2*b^4+10*B*x^2*a^3*b^3+20*A*a^3*b^3*x+15*B*a^4*b^2*x-1/2*a^6*A/x^2-6*a^5/x*A*b-a^6/x*B+15*A*ln(x)*a^4*b^2+6*B*ln(x)*a^5*b","A"
548,1,144,124,0.049000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^4,x)","\frac{B \,b^{6} x^{4}}{4}+\frac{A \,b^{6} x^{3}}{3}+2 B a \,b^{5} x^{3}+3 A a \,b^{5} x^{2}+\frac{15 B \,a^{2} b^{4} x^{2}}{2}+20 A \,a^{3} b^{3} \ln \left(x \right)+15 A \,a^{2} b^{4} x +15 B \,a^{4} b^{2} \ln \left(x \right)+20 B \,a^{3} b^{3} x -\frac{15 A \,a^{4} b^{2}}{x}-\frac{6 B \,a^{5} b}{x}-\frac{3 A \,a^{5} b}{x^{2}}-\frac{B \,a^{6}}{2 x^{2}}-\frac{A \,a^{6}}{3 x^{3}}"," ",0,"1/4*b^6*B*x^4+1/3*A*x^3*b^6+2*B*x^3*a*b^5+3*A*x^2*a*b^5+15/2*B*x^2*a^2*b^4+15*A*a^2*b^4*x+20*B*a^3*b^3*x-1/3*a^6*A/x^3-3*a^5/x^2*A*b-1/2*a^6/x^2*B-15*a^4*b^2/x*A-6*a^5*b/x*B+20*A*ln(x)*a^3*b^3+15*B*ln(x)*a^4*b^2","A"
549,1,144,124,0.058000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^5,x)","\frac{B \,b^{6} x^{3}}{3}+\frac{A \,b^{6} x^{2}}{2}+3 B a \,b^{5} x^{2}+15 A \,a^{2} b^{4} \ln \left(x \right)+6 A a \,b^{5} x +20 B \,a^{3} b^{3} \ln \left(x \right)+15 B \,a^{2} b^{4} x -\frac{20 A \,a^{3} b^{3}}{x}-\frac{15 B \,a^{4} b^{2}}{x}-\frac{15 A \,a^{4} b^{2}}{2 x^{2}}-\frac{3 B \,a^{5} b}{x^{2}}-\frac{2 A \,a^{5} b}{x^{3}}-\frac{B \,a^{6}}{3 x^{3}}-\frac{A \,a^{6}}{4 x^{4}}"," ",0,"1/3*b^6*B*x^3+1/2*A*x^2*b^6+3*B*x^2*a*b^5+6*A*a*b^5*x+15*B*a^2*b^4*x-1/4*a^6*A/x^4-2*a^5/x^3*A*b-1/3*a^6/x^3*B-15/2*a^4*b^2/x^2*A-3*a^5*b/x^2*B-20*a^3*b^3/x*A-15*a^4*b^2/x*B+15*A*ln(x)*a^2*b^4+20*B*ln(x)*a^3*b^3","A"
550,1,143,123,0.062000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^6,x)","\frac{B \,b^{6} x^{2}}{2}+6 A a \,b^{5} \ln \left(x \right)+A \,b^{6} x +15 B \,a^{2} b^{4} \ln \left(x \right)+6 B a \,b^{5} x -\frac{15 A \,a^{2} b^{4}}{x}-\frac{20 B \,a^{3} b^{3}}{x}-\frac{10 A \,a^{3} b^{3}}{x^{2}}-\frac{15 B \,a^{4} b^{2}}{2 x^{2}}-\frac{5 A \,a^{4} b^{2}}{x^{3}}-\frac{2 B \,a^{5} b}{x^{3}}-\frac{3 A \,a^{5} b}{2 x^{4}}-\frac{B \,a^{6}}{4 x^{4}}-\frac{A \,a^{6}}{5 x^{5}}"," ",0,"1/2*b^6*B*x^2+A*b^6*x+6*B*a*b^5*x-1/5*a^6*A/x^5-3/2*a^5/x^4*A*b-1/4*a^6/x^4*B-5*a^4*b^2/x^3*A-2*a^5*b/x^3*B-10*a^3*b^3/x^2*A-15/2*a^4*b^2/x^2*B-15*a^2*b^4/x*A-20*a^3*b^3/x*B+6*A*ln(x)*a*b^5+15*B*ln(x)*a^2*b^4","A"
551,1,144,122,0.053000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^7,x)","A \,b^{6} \ln \left(x \right)+6 B a \,b^{5} \ln \left(x \right)+B \,b^{6} x -\frac{6 A a \,b^{5}}{x}-\frac{15 B \,a^{2} b^{4}}{x}-\frac{15 A \,a^{2} b^{4}}{2 x^{2}}-\frac{10 B \,a^{3} b^{3}}{x^{2}}-\frac{20 A \,a^{3} b^{3}}{3 x^{3}}-\frac{5 B \,a^{4} b^{2}}{x^{3}}-\frac{15 A \,a^{4} b^{2}}{4 x^{4}}-\frac{3 B \,a^{5} b}{2 x^{4}}-\frac{6 A \,a^{5} b}{5 x^{5}}-\frac{B \,a^{6}}{5 x^{5}}-\frac{A \,a^{6}}{6 x^{6}}"," ",0,"b^6*B*x-6/5*a^5/x^5*A*b-1/5*a^6/x^5*B-15/4*a^4*b^2/x^4*A-3/2*a^5*b/x^4*B-20/3*a^3*b^3/x^3*A-5*a^4*b^2/x^3*B-15/2*a^2*b^4/x^2*A-10*a^3*b^3/x^2*B-1/6*a^6*A/x^6-6*a*b^5/x*A-15*a^2*b^4/x*B+A*ln(x)*b^6+6*B*ln(x)*a*b^5","A"
552,1,148,89,0.055000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^8,x)","B \,b^{6} \ln \left(x \right)-\frac{A \,b^{6}}{x}-\frac{6 B a \,b^{5}}{x}-\frac{3 A a \,b^{5}}{x^{2}}-\frac{15 B \,a^{2} b^{4}}{2 x^{2}}-\frac{5 A \,a^{2} b^{4}}{x^{3}}-\frac{20 B \,a^{3} b^{3}}{3 x^{3}}-\frac{5 A \,a^{3} b^{3}}{x^{4}}-\frac{15 B \,a^{4} b^{2}}{4 x^{4}}-\frac{3 A \,a^{4} b^{2}}{x^{5}}-\frac{6 B \,a^{5} b}{5 x^{5}}-\frac{A \,a^{5} b}{x^{6}}-\frac{B \,a^{6}}{6 x^{6}}-\frac{A \,a^{6}}{7 x^{7}}"," ",0,"-3*a^4*b^2/x^5*A-6/5*a^5*b*B/x^5-5*a^3*b^3/x^4*A-15/4*a^4*b^2*B/x^4-5*a^2*b^4/x^3*A-20/3*a^3*b^3*B/x^3-3*a*b^5/x^2*A-15/2*a^2*b^4*B/x^2-1/7*A*a^6/x^7-a^5/x^6*A*b-1/6*a^6*B/x^6-b^6/x*A-6*a*b^5*B/x+b^6*B*ln(x)","A"
553,1,128,40,0.053000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^9,x)","-\frac{B \,b^{6}}{x}-\frac{\left(A b +6 B a \right) b^{5}}{2 x^{2}}-\frac{\left(2 A b +5 B a \right) a \,b^{4}}{x^{3}}-\frac{5 \left(3 A b +4 B a \right) a^{2} b^{3}}{4 x^{4}}-\frac{\left(4 A b +3 B a \right) a^{3} b^{2}}{x^{5}}-\frac{A \,a^{6}}{8 x^{8}}-\frac{\left(5 A b +2 B a \right) a^{4} b}{2 x^{6}}-\frac{\left(6 A b +B a \right) a^{5}}{7 x^{7}}"," ",0,"-a^3*b^2*(4*A*b+3*B*a)/x^5-5/4*a^2*b^3*(3*A*b+4*B*a)/x^4-a*b^4*(2*A*b+5*B*a)/x^3-1/8*A*a^6/x^8-1/2*b^5*(A*b+6*B*a)/x^2-1/7*a^5*(6*A*b+B*a)/x^7-1/2*a^4*b*(5*A*b+2*B*a)/x^6-B*b^6/x","B"
554,1,128,66,0.060000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^10,x)","-\frac{B \,b^{6}}{2 x^{2}}-\frac{\left(A b +6 B a \right) b^{5}}{3 x^{3}}-\frac{3 \left(2 A b +5 B a \right) a \,b^{4}}{4 x^{4}}-\frac{\left(3 A b +4 B a \right) a^{2} b^{3}}{x^{5}}-\frac{5 \left(4 A b +3 B a \right) a^{3} b^{2}}{6 x^{6}}-\frac{A \,a^{6}}{9 x^{9}}-\frac{3 \left(5 A b +2 B a \right) a^{4} b}{7 x^{7}}-\frac{\left(6 A b +B a \right) a^{5}}{8 x^{8}}"," ",0,"-a^2*b^3*(3*A*b+4*B*a)/x^5-3/4*a*b^4*(2*A*b+5*B*a)/x^4-1/3*b^5*(A*b+6*B*a)/x^3-1/8*a^5*(6*A*b+B*a)/x^8-1/2*B*b^6/x^2-1/9*A*a^6/x^9-3/7*a^4*b*(5*A*b+2*B*a)/x^7-5/6*a^3*b^2*(4*A*b+3*B*a)/x^6","A"
555,1,128,127,0.061000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^11,x)","-\frac{B \,b^{6}}{3 x^{3}}-\frac{\left(A b +6 B a \right) b^{5}}{4 x^{4}}-\frac{3 \left(2 A b +5 B a \right) a \,b^{4}}{5 x^{5}}-\frac{5 \left(3 A b +4 B a \right) a^{2} b^{3}}{6 x^{6}}-\frac{5 \left(4 A b +3 B a \right) a^{3} b^{2}}{7 x^{7}}-\frac{A \,a^{6}}{10 x^{10}}-\frac{3 \left(5 A b +2 B a \right) a^{4} b}{8 x^{8}}-\frac{\left(6 A b +B a \right) a^{5}}{9 x^{9}}"," ",0,"-1/10*a^6*A/x^10-1/9*a^5*(6*A*b+B*a)/x^9-3/8*a^4*b*(5*A*b+2*B*a)/x^8-5/7*a^3*b^2*(4*A*b+3*B*a)/x^7-5/6*a^2*b^3*(3*A*b+4*B*a)/x^6-3/5*a*b^4*(2*A*b+5*B*a)/x^5-1/4*b^5*(A*b+6*B*a)/x^4-1/3*b^6*B/x^3","A"
556,1,128,127,0.051000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^12,x)","-\frac{B \,b^{6}}{4 x^{4}}-\frac{\left(A b +6 B a \right) b^{5}}{5 x^{5}}-\frac{\left(2 A b +5 B a \right) a \,b^{4}}{2 x^{6}}-\frac{5 \left(3 A b +4 B a \right) a^{2} b^{3}}{7 x^{7}}-\frac{5 \left(4 A b +3 B a \right) a^{3} b^{2}}{8 x^{8}}-\frac{A \,a^{6}}{11 x^{11}}-\frac{\left(5 A b +2 B a \right) a^{4} b}{3 x^{9}}-\frac{\left(6 A b +B a \right) a^{5}}{10 x^{10}}"," ",0,"-1/11*a^6*A/x^11-1/10*a^5*(6*A*b+B*a)/x^10-1/3*a^4*b*(5*A*b+2*B*a)/x^9-5/8*a^3*b^2*(4*A*b+3*B*a)/x^8-5/7*a^2*b^3*(3*A*b+4*B*a)/x^7-1/2*a*b^4*(2*A*b+5*B*a)/x^6-1/5*b^5*(A*b+6*B*a)/x^5-1/4*b^6*B/x^4","A"
557,1,128,127,0.048000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^13,x)","-\frac{B \,b^{6}}{5 x^{5}}-\frac{\left(A b +6 B a \right) b^{5}}{6 x^{6}}-\frac{3 \left(2 A b +5 B a \right) a \,b^{4}}{7 x^{7}}-\frac{5 \left(3 A b +4 B a \right) a^{2} b^{3}}{8 x^{8}}-\frac{5 \left(4 A b +3 B a \right) a^{3} b^{2}}{9 x^{9}}-\frac{A \,a^{6}}{12 x^{12}}-\frac{3 \left(5 A b +2 B a \right) a^{4} b}{10 x^{10}}-\frac{\left(6 A b +B a \right) a^{5}}{11 x^{11}}"," ",0,"-1/12*a^6*A/x^12-1/11*a^5*(6*A*b+B*a)/x^11-3/10*a^4*b*(5*A*b+2*B*a)/x^10-5/9*a^3*b^2*(4*A*b+3*B*a)/x^9-5/8*a^2*b^3*(3*A*b+4*B*a)/x^8-3/7*a*b^4*(2*A*b+5*B*a)/x^7-1/6*b^5*(A*b+6*B*a)/x^6-1/5*b^6*B/x^5","A"
558,1,128,127,0.052000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^14,x)","-\frac{B \,b^{6}}{6 x^{6}}-\frac{\left(A b +6 B a \right) b^{5}}{7 x^{7}}-\frac{3 \left(2 A b +5 B a \right) a \,b^{4}}{8 x^{8}}-\frac{5 \left(3 A b +4 B a \right) a^{2} b^{3}}{9 x^{9}}-\frac{\left(4 A b +3 B a \right) a^{3} b^{2}}{2 x^{10}}-\frac{A \,a^{6}}{13 x^{13}}-\frac{3 \left(5 A b +2 B a \right) a^{4} b}{11 x^{11}}-\frac{\left(6 A b +B a \right) a^{5}}{12 x^{12}}"," ",0,"-1/13*a^6*A/x^13-1/12*a^5*(6*A*b+B*a)/x^12-3/11*a^4*b*(5*A*b+2*B*a)/x^11-1/2*a^3*b^2*(4*A*b+3*B*a)/x^10-5/9*a^2*b^3*(3*A*b+4*B*a)/x^9-3/8*a*b^4*(2*A*b+5*B*a)/x^8-1/7*b^5*(A*b+6*B*a)/x^7-1/6*b^6*B/x^6","A"
559,1,130,113,0.046000," ","int(x^7*(e*x+d)*(x^2+2*x+1)^5,x)","\frac{e \,x^{19}}{19}+\frac{\left(d +10 e \right) x^{18}}{18}+\frac{\left(10 d +45 e \right) x^{17}}{17}+\frac{\left(45 d +120 e \right) x^{16}}{16}+\frac{\left(120 d +210 e \right) x^{15}}{15}+\frac{\left(210 d +252 e \right) x^{14}}{14}+\frac{\left(252 d +210 e \right) x^{13}}{13}+\frac{\left(210 d +120 e \right) x^{12}}{12}+\frac{\left(120 d +45 e \right) x^{11}}{11}+\frac{\left(45 d +10 e \right) x^{10}}{10}+\frac{d \,x^{8}}{8}+\frac{\left(10 d +e \right) x^{9}}{9}"," ",0,"1/19*e*x^19+1/18*(d+10*e)*x^18+1/17*(10*d+45*e)*x^17+1/16*(45*d+120*e)*x^16+1/15*(120*d+210*e)*x^15+1/14*(210*d+252*e)*x^14+1/13*(252*d+210*e)*x^13+1/12*(210*d+120*e)*x^12+1/11*(120*d+45*e)*x^11+1/10*(45*d+10*e)*x^10+1/9*(10*d+e)*x^9+1/8*d*x^8","A"
560,1,130,103,0.043000," ","int(x^6*(e*x+d)*(x^2+2*x+1)^5,x)","\frac{e \,x^{18}}{18}+\frac{\left(d +10 e \right) x^{17}}{17}+\frac{\left(10 d +45 e \right) x^{16}}{16}+\frac{\left(45 d +120 e \right) x^{15}}{15}+\frac{\left(120 d +210 e \right) x^{14}}{14}+\frac{\left(210 d +252 e \right) x^{13}}{13}+\frac{\left(252 d +210 e \right) x^{12}}{12}+\frac{\left(210 d +120 e \right) x^{11}}{11}+\frac{\left(120 d +45 e \right) x^{10}}{10}+\frac{\left(45 d +10 e \right) x^{9}}{9}+\frac{d \,x^{7}}{7}+\frac{\left(10 d +e \right) x^{8}}{8}"," ",0,"1/18*e*x^18+1/17*(d+10*e)*x^17+1/16*(10*d+45*e)*x^16+1/15*(45*d+120*e)*x^15+1/14*(120*d+210*e)*x^14+1/13*(210*d+252*e)*x^13+1/12*(252*d+210*e)*x^12+1/11*(210*d+120*e)*x^11+1/10*(120*d+45*e)*x^10+1/9*(45*d+10*e)*x^9+1/8*(10*d+e)*x^8+1/7*d*x^7","A"
561,1,130,85,0.045000," ","int(x^5*(e*x+d)*(x^2+2*x+1)^5,x)","\frac{e \,x^{17}}{17}+\frac{\left(d +10 e \right) x^{16}}{16}+\frac{\left(10 d +45 e \right) x^{15}}{15}+\frac{\left(45 d +120 e \right) x^{14}}{14}+\frac{\left(120 d +210 e \right) x^{13}}{13}+\frac{\left(210 d +252 e \right) x^{12}}{12}+\frac{\left(252 d +210 e \right) x^{11}}{11}+\frac{\left(210 d +120 e \right) x^{10}}{10}+\frac{\left(120 d +45 e \right) x^{9}}{9}+\frac{\left(45 d +10 e \right) x^{8}}{8}+\frac{d \,x^{6}}{6}+\frac{\left(10 d +e \right) x^{7}}{7}"," ",0,"1/17*e*x^17+1/16*(d+10*e)*x^16+1/15*(10*d+45*e)*x^15+1/14*(45*d+120*e)*x^14+1/13*(120*d+210*e)*x^13+1/12*(210*d+252*e)*x^12+1/11*(252*d+210*e)*x^11+1/10*(210*d+120*e)*x^10+1/9*(120*d+45*e)*x^9+1/8*(45*d+10*e)*x^8+1/7*(10*d+e)*x^7+1/6*d*x^6","A"
562,1,130,75,0.048000," ","int(x^4*(e*x+d)*(x^2+2*x+1)^5,x)","\frac{e \,x^{16}}{16}+\frac{\left(d +10 e \right) x^{15}}{15}+\frac{\left(10 d +45 e \right) x^{14}}{14}+\frac{\left(45 d +120 e \right) x^{13}}{13}+\frac{\left(120 d +210 e \right) x^{12}}{12}+\frac{\left(210 d +252 e \right) x^{11}}{11}+\frac{\left(252 d +210 e \right) x^{10}}{10}+\frac{\left(210 d +120 e \right) x^{9}}{9}+\frac{\left(120 d +45 e \right) x^{8}}{8}+\frac{\left(45 d +10 e \right) x^{7}}{7}+\frac{d \,x^{5}}{5}+\frac{\left(10 d +e \right) x^{6}}{6}"," ",0,"1/16*e*x^16+1/15*(d+10*e)*x^15+1/14*(10*d+45*e)*x^14+1/13*(45*d+120*e)*x^13+1/12*(120*d+210*e)*x^12+1/11*(210*d+252*e)*x^11+1/10*(252*d+210*e)*x^10+1/9*(210*d+120*e)*x^9+1/8*(120*d+45*e)*x^8+1/7*(45*d+10*e)*x^7+1/6*(10*d+e)*x^6+1/5*d*x^5","A"
563,1,130,59,0.039000," ","int(x^3*(e*x+d)*(x^2+2*x+1)^5,x)","\frac{e \,x^{15}}{15}+\frac{\left(d +10 e \right) x^{14}}{14}+\frac{\left(10 d +45 e \right) x^{13}}{13}+\frac{\left(45 d +120 e \right) x^{12}}{12}+\frac{\left(120 d +210 e \right) x^{11}}{11}+\frac{\left(210 d +252 e \right) x^{10}}{10}+\frac{\left(252 d +210 e \right) x^{9}}{9}+\frac{\left(210 d +120 e \right) x^{8}}{8}+\frac{\left(120 d +45 e \right) x^{7}}{7}+\frac{\left(45 d +10 e \right) x^{6}}{6}+\frac{d \,x^{4}}{4}+\frac{\left(10 d +e \right) x^{5}}{5}"," ",0,"1/15*e*x^15+1/14*(d+10*e)*x^14+1/13*(10*d+45*e)*x^13+1/12*(45*d+120*e)*x^12+1/11*(120*d+210*e)*x^11+1/10*(210*d+252*e)*x^10+1/9*(252*d+210*e)*x^9+1/8*(210*d+120*e)*x^8+1/7*(120*d+45*e)*x^7+1/6*(45*d+10*e)*x^6+1/5*(10*d+e)*x^5+1/4*d*x^4","B"
564,1,130,47,0.042000," ","int(x^2*(e*x+d)*(x^2+2*x+1)^5,x)","\frac{e \,x^{14}}{14}+\frac{\left(d +10 e \right) x^{13}}{13}+\frac{\left(10 d +45 e \right) x^{12}}{12}+\frac{\left(45 d +120 e \right) x^{11}}{11}+\frac{\left(120 d +210 e \right) x^{10}}{10}+\frac{\left(210 d +252 e \right) x^{9}}{9}+\frac{\left(252 d +210 e \right) x^{8}}{8}+\frac{\left(210 d +120 e \right) x^{7}}{7}+\frac{\left(120 d +45 e \right) x^{6}}{6}+\frac{\left(45 d +10 e \right) x^{5}}{5}+\frac{d \,x^{3}}{3}+\frac{\left(10 d +e \right) x^{4}}{4}"," ",0,"1/14*e*x^14+1/13*(d+10*e)*x^13+1/12*(10*d+45*e)*x^12+1/11*(45*d+120*e)*x^11+1/10*(120*d+210*e)*x^10+1/9*(210*d+252*e)*x^9+1/8*(252*d+210*e)*x^8+1/7*(210*d+120*e)*x^7+1/6*(120*d+45*e)*x^6+1/5*(45*d+10*e)*x^5+1/4*(10*d+e)*x^4+1/3*d*x^3","B"
565,1,130,33,0.043000," ","int(x*(e*x+d)*(x^2+2*x+1)^5,x)","\frac{e \,x^{13}}{13}+\frac{\left(d +10 e \right) x^{12}}{12}+\frac{\left(10 d +45 e \right) x^{11}}{11}+\frac{\left(45 d +120 e \right) x^{10}}{10}+\frac{\left(120 d +210 e \right) x^{9}}{9}+\frac{\left(210 d +252 e \right) x^{8}}{8}+\frac{\left(252 d +210 e \right) x^{7}}{7}+\frac{\left(210 d +120 e \right) x^{6}}{6}+\frac{\left(120 d +45 e \right) x^{5}}{5}+\frac{\left(45 d +10 e \right) x^{4}}{4}+\frac{d \,x^{2}}{2}+\frac{\left(10 d +e \right) x^{3}}{3}"," ",0,"1/13*e*x^13+1/12*(d+10*e)*x^12+1/11*(10*d+45*e)*x^11+1/10*(45*d+120*e)*x^10+1/9*(120*d+210*e)*x^9+1/8*(210*d+252*e)*x^8+1/7*(252*d+210*e)*x^7+1/6*(210*d+120*e)*x^6+1/5*(120*d+45*e)*x^5+1/4*(45*d+10*e)*x^4+1/3*(10*d+e)*x^3+1/2*d*x^2","B"
566,1,127,21,0.046000," ","int((e*x+d)*(x^2+2*x+1)^5,x)","\frac{e \,x^{12}}{12}+\frac{\left(d +10 e \right) x^{11}}{11}+\frac{\left(10 d +45 e \right) x^{10}}{10}+\frac{\left(45 d +120 e \right) x^{9}}{9}+\frac{\left(120 d +210 e \right) x^{8}}{8}+\frac{\left(210 d +252 e \right) x^{7}}{7}+\frac{\left(252 d +210 e \right) x^{6}}{6}+\frac{\left(210 d +120 e \right) x^{5}}{5}+\frac{\left(120 d +45 e \right) x^{4}}{4}+\frac{\left(45 d +10 e \right) x^{3}}{3}+d x +\frac{\left(10 d +e \right) x^{2}}{2}"," ",0,"1/12*e*x^12+1/11*(d+10*e)*x^11+1/10*(10*d+45*e)*x^10+1/9*(45*d+120*e)*x^9+1/8*(120*d+210*e)*x^8+1/7*(210*d+252*e)*x^7+1/6*(252*d+210*e)*x^6+1/5*(210*d+120*e)*x^5+1/4*(120*d+45*e)*x^4+1/3*(45*d+10*e)*x^3+1/2*(10*d+e)*x^2+d*x","B"
567,1,126,71,0.043000," ","int((e*x+d)*(x^2+2*x+1)^5/x,x)","\frac{e \,x^{11}}{11}+\frac{d \,x^{10}}{10}+e \,x^{10}+\frac{10 d \,x^{9}}{9}+5 e \,x^{9}+\frac{45 d \,x^{8}}{8}+15 e \,x^{8}+\frac{120 d \,x^{7}}{7}+30 e \,x^{7}+35 d \,x^{6}+42 e \,x^{6}+\frac{252 d \,x^{5}}{5}+42 e \,x^{5}+\frac{105 d \,x^{4}}{2}+30 e \,x^{4}+40 d \,x^{3}+15 e \,x^{3}+\frac{45 d \,x^{2}}{2}+5 e \,x^{2}+10 d x +d \ln \left(x \right)+e x"," ",0,"1/11*e*x^11+1/10*d*x^10+e*x^10+10/9*d*x^9+5*e*x^9+45/8*d*x^8+15*e*x^8+120/7*d*x^7+30*e*x^7+35*d*x^6+42*e*x^6+252/5*d*x^5+42*e*x^5+105/2*d*x^4+30*e*x^4+40*d*x^3+15*e*x^3+45/2*d*x^2+5*e*x^2+10*d*x+e*x+d*ln(x)","A"
568,1,127,125,0.058000," ","int((e*x+d)*(x^2+2*x+1)^5/x^2,x)","\frac{e \,x^{10}}{10}+\frac{d \,x^{9}}{9}+\frac{10 e \,x^{9}}{9}+\frac{5 d \,x^{8}}{4}+\frac{45 e \,x^{8}}{8}+\frac{45 d \,x^{7}}{7}+\frac{120 e \,x^{7}}{7}+20 d \,x^{6}+35 e \,x^{6}+42 d \,x^{5}+\frac{252 e \,x^{5}}{5}+63 d \,x^{4}+\frac{105 e \,x^{4}}{2}+70 d \,x^{3}+40 e \,x^{3}+60 d \,x^{2}+\frac{45 e \,x^{2}}{2}+45 d x +10 d \ln \left(x \right)+10 e x +e \ln \left(x \right)-\frac{d}{x}"," ",0,"1/10*e*x^10+1/9*d*x^9+10/9*e*x^9+5/4*d*x^8+45/8*e*x^8+45/7*d*x^7+120/7*e*x^7+20*d*x^6+35*e*x^6+42*d*x^5+252/5*e*x^5+63*d*x^4+105/2*e*x^4+70*d*x^3+40*e*x^3+60*d*x^2+45/2*e*x^2+45*d*x+10*e*x-d/x+10*d*ln(x)+e*ln(x)","A"
569,1,128,127,0.084000," ","int((e*x+d)*(x^2+2*x+1)^5/x^3,x)","\frac{e \,x^{9}}{9}+\frac{d \,x^{8}}{8}+\frac{5 e \,x^{8}}{4}+\frac{10 d \,x^{7}}{7}+\frac{45 e \,x^{7}}{7}+\frac{15 d \,x^{6}}{2}+20 e \,x^{6}+24 d \,x^{5}+42 e \,x^{5}+\frac{105 d \,x^{4}}{2}+63 e \,x^{4}+84 d \,x^{3}+70 e \,x^{3}+105 d \,x^{2}+60 e \,x^{2}+120 d x +45 d \ln \left(x \right)+45 e x +10 e \ln \left(x \right)-\frac{10 d}{x}-\frac{e}{x}-\frac{d}{2 x^{2}}"," ",0,"1/9*e*x^9+1/8*d*x^8+5/4*e*x^8+10/7*d*x^7+45/7*e*x^7+15/2*d*x^6+20*e*x^6+24*d*x^5+42*e*x^5+105/2*d*x^4+63*e*x^4+84*d*x^3+70*e*x^3+105*d*x^2+60*e*x^2+120*d*x+45*e*x-1/2*d/x^2-10*d/x-e/x+45*d*ln(x)+10*e*ln(x)","A"
570,1,128,128,0.049000," ","int((e*x+d)*(x^2+2*x+1)^5/x^4,x)","\frac{e \,x^{8}}{8}+\frac{d \,x^{7}}{7}+\frac{10 e \,x^{7}}{7}+\frac{5 d \,x^{6}}{3}+\frac{15 e \,x^{6}}{2}+9 d \,x^{5}+24 e \,x^{5}+30 d \,x^{4}+\frac{105 e \,x^{4}}{2}+70 d \,x^{3}+84 e \,x^{3}+126 d \,x^{2}+105 e \,x^{2}+210 d x +120 d \ln \left(x \right)+120 e x +45 e \ln \left(x \right)-\frac{45 d}{x}-\frac{10 e}{x}-\frac{5 d}{x^{2}}-\frac{e}{2 x^{2}}-\frac{d}{3 x^{3}}"," ",0,"1/8*e*x^8+1/7*d*x^7+10/7*e*x^7+5/3*d*x^6+15/2*e*x^6+9*d*x^5+24*e*x^5+30*d*x^4+105/2*e*x^4+70*d*x^3+84*e*x^3+126*d*x^2+105*e*x^2+210*d*x+120*e*x-1/3*d/x^3-5*d/x^2-1/2*e/x^2-45*d/x-10*e/x+120*d*ln(x)+45*e*ln(x)","A"
571,1,128,127,0.054000," ","int((e*x+d)*(x^2+2*x+1)^5/x^5,x)","\frac{e \,x^{7}}{7}+\frac{d \,x^{6}}{6}+\frac{5 e \,x^{6}}{3}+2 d \,x^{5}+9 e \,x^{5}+\frac{45 d \,x^{4}}{4}+30 e \,x^{4}+40 d \,x^{3}+70 e \,x^{3}+105 d \,x^{2}+126 e \,x^{2}+252 d x +210 d \ln \left(x \right)+210 e x +120 e \ln \left(x \right)-\frac{120 d}{x}-\frac{45 e}{x}-\frac{45 d}{2 x^{2}}-\frac{5 e}{x^{2}}-\frac{10 d}{3 x^{3}}-\frac{e}{3 x^{3}}-\frac{d}{4 x^{4}}"," ",0,"1/7*e*x^7+1/6*d*x^6+5/3*e*x^6+2*d*x^5+9*e*x^5+45/4*d*x^4+30*e*x^4+40*d*x^3+70*e*x^3+105*d*x^2+126*e*x^2+252*d*x+210*e*x-1/4*d/x^4-10/3*d/x^3-1/3*e/x^3-45/2*d/x^2-5*e/x^2-120*d/x-45*e/x+210*d*ln(x)+120*e*ln(x)","A"
572,1,128,128,0.049000," ","int((e*x+d)*(x^2+2*x+1)^5/x^6,x)","\frac{e \,x^{6}}{6}+\frac{d \,x^{5}}{5}+2 e \,x^{5}+\frac{5 d \,x^{4}}{2}+\frac{45 e \,x^{4}}{4}+15 d \,x^{3}+40 e \,x^{3}+60 d \,x^{2}+105 e \,x^{2}+210 d x +252 d \ln \left(x \right)+252 e x +210 e \ln \left(x \right)-\frac{210 d}{x}-\frac{120 e}{x}-\frac{60 d}{x^{2}}-\frac{45 e}{2 x^{2}}-\frac{15 d}{x^{3}}-\frac{10 e}{3 x^{3}}-\frac{5 d}{2 x^{4}}-\frac{e}{4 x^{4}}-\frac{d}{5 x^{5}}"," ",0,"1/6*e*x^6+1/5*d*x^5+2*e*x^5+5/2*d*x^4+45/4*e*x^4+15*d*x^3+40*e*x^3+60*d*x^2+105*e*x^2+210*d*x+252*e*x-1/5*d/x^5-5/2*d/x^4-1/4*e/x^4-15*d/x^3-10/3*e/x^3-60*d/x^2-45/2*e/x^2-210*d/x-120*e/x+252*d*ln(x)+210*e*ln(x)","A"
573,1,128,128,0.061000," ","int((e*x+d)*(x^2+2*x+1)^5/x^7,x)","\frac{e \,x^{5}}{5}+\frac{d \,x^{4}}{4}+\frac{5 e \,x^{4}}{2}+\frac{10 d \,x^{3}}{3}+15 e \,x^{3}+\frac{45 d \,x^{2}}{2}+60 e \,x^{2}+120 d x +210 d \ln \left(x \right)+210 e x +252 e \ln \left(x \right)-\frac{252 d}{x}-\frac{210 e}{x}-\frac{105 d}{x^{2}}-\frac{60 e}{x^{2}}-\frac{40 d}{x^{3}}-\frac{15 e}{x^{3}}-\frac{45 d}{4 x^{4}}-\frac{5 e}{2 x^{4}}-\frac{2 d}{x^{5}}-\frac{e}{5 x^{5}}-\frac{d}{6 x^{6}}"," ",0,"1/5*e*x^5+1/4*d*x^4+5/2*e*x^4+10/3*d*x^3+15*e*x^3+45/2*d*x^2+60*e*x^2+120*d*x+210*e*x-2*d/x^5-1/5*e/x^5-45/4*d/x^4-5/2*e/x^4-40*d/x^3-15*e/x^3-105*d/x^2-60*e/x^2-1/6*d/x^6-252*d/x-210*e/x+210*d*ln(x)+252*e*ln(x)","A"
574,1,128,127,0.052000," ","int((e*x+d)*(x^2+2*x+1)^5/x^8,x)","\frac{e \,x^{4}}{4}+\frac{d \,x^{3}}{3}+\frac{10 e \,x^{3}}{3}+5 d \,x^{2}+\frac{45 e \,x^{2}}{2}+45 d x +120 d \ln \left(x \right)+120 e x +210 e \ln \left(x \right)-\frac{210 d}{x}-\frac{252 e}{x}-\frac{126 d}{x^{2}}-\frac{105 e}{x^{2}}-\frac{70 d}{x^{3}}-\frac{40 e}{x^{3}}-\frac{30 d}{x^{4}}-\frac{45 e}{4 x^{4}}-\frac{9 d}{x^{5}}-\frac{2 e}{x^{5}}-\frac{5 d}{3 x^{6}}-\frac{e}{6 x^{6}}-\frac{d}{7 x^{7}}"," ",0,"1/4*e*x^4+1/3*d*x^3+10/3*e*x^3+5*d*x^2+45/2*e*x^2+45*d*x+120*e*x-9*d/x^5-2*e/x^5-30*d/x^4-45/4*e/x^4-70*d/x^3-40*e/x^3-126*d/x^2-105*e/x^2-1/7*d/x^7-5/3*d/x^6-1/6*e/x^6-210*d/x-252*e/x+120*d*ln(x)+210*e*ln(x)","A"
575,1,128,128,0.056000," ","int((e*x+d)*(x^2+2*x+1)^5/x^9,x)","\frac{e \,x^{3}}{3}+\frac{d \,x^{2}}{2}+5 e \,x^{2}+10 d x +45 d \ln \left(x \right)+45 e x +120 e \ln \left(x \right)-\frac{120 d}{x}-\frac{210 e}{x}-\frac{105 d}{x^{2}}-\frac{126 e}{x^{2}}-\frac{84 d}{x^{3}}-\frac{70 e}{x^{3}}-\frac{105 d}{2 x^{4}}-\frac{30 e}{x^{4}}-\frac{24 d}{x^{5}}-\frac{9 e}{x^{5}}-\frac{15 d}{2 x^{6}}-\frac{5 e}{3 x^{6}}-\frac{10 d}{7 x^{7}}-\frac{e}{7 x^{7}}-\frac{d}{8 x^{8}}"," ",0,"1/3*e*x^3+1/2*d*x^2+5*e*x^2+10*d*x+45*e*x-24*d/x^5-9*e/x^5-105/2*d/x^4-30*e/x^4-84*d/x^3-70*e/x^3-1/8*d/x^8-105*d/x^2-126*e/x^2-10/7*d/x^7-1/7*e/x^7-15/2*d/x^6-5/3*e/x^6-120*d/x-210*e/x+45*d*ln(x)+120*e*ln(x)","A"
576,1,127,127,0.056000," ","int((e*x+d)*(x^2+2*x+1)^5/x^10,x)","\frac{e \,x^{2}}{2}+d x +10 d \ln \left(x \right)+10 e x +45 e \ln \left(x \right)-\frac{45 d}{x}-\frac{120 e}{x}-\frac{60 d}{x^{2}}-\frac{105 e}{x^{2}}-\frac{70 d}{x^{3}}-\frac{84 e}{x^{3}}-\frac{63 d}{x^{4}}-\frac{105 e}{2 x^{4}}-\frac{42 d}{x^{5}}-\frac{24 e}{x^{5}}-\frac{20 d}{x^{6}}-\frac{15 e}{2 x^{6}}-\frac{45 d}{7 x^{7}}-\frac{10 e}{7 x^{7}}-\frac{5 d}{4 x^{8}}-\frac{e}{8 x^{8}}-\frac{d}{9 x^{9}}"," ",0,"1/2*e*x^2+d*x+10*e*x-42*d/x^5-24*e/x^5-63*d/x^4-105/2*e/x^4-70*d/x^3-84*e/x^3-5/4*d/x^8-1/8*e/x^8-60*d/x^2-105*e/x^2-1/9*d/x^9-45/7*d/x^7-10/7*e/x^7-20*d/x^6-15/2*e/x^6-45*d/x-120*e/x+10*d*ln(x)+45*e*ln(x)","A"
577,1,128,126,0.059000," ","int((e*x+d)*(x^2+2*x+1)^5/x^11,x)","d \ln \left(x \right)+e x +10 e \ln \left(x \right)-\frac{10 d}{x}-\frac{45 e}{x}-\frac{45 d}{2 x^{2}}-\frac{60 e}{x^{2}}-\frac{40 d}{x^{3}}-\frac{70 e}{x^{3}}-\frac{105 d}{2 x^{4}}-\frac{63 e}{x^{4}}-\frac{252 d}{5 x^{5}}-\frac{42 e}{x^{5}}-\frac{35 d}{x^{6}}-\frac{20 e}{x^{6}}-\frac{120 d}{7 x^{7}}-\frac{45 e}{7 x^{7}}-\frac{45 d}{8 x^{8}}-\frac{5 e}{4 x^{8}}-\frac{10 d}{9 x^{9}}-\frac{e}{9 x^{9}}-\frac{d}{10 x^{10}}"," ",0,"e*x-252/5*d/x^5-42*e/x^5-105/2*d/x^4-63*e/x^4-40*d/x^3-70*e/x^3-45/8*d/x^8-5/4*e/x^8-1/10*d/x^10-45/2*d/x^2-60*e/x^2-10/9*d/x^9-1/9*e/x^9-120/7*d/x^7-45/7*e/x^7-35*d/x^6-20*e/x^6-10*d/x-45*e/x+d*ln(x)+10*e*ln(x)","A"
578,1,132,76,0.048000," ","int((e*x+d)*(x^2+2*x+1)^5/x^12,x)","e \ln \left(x \right)-\frac{d}{x}-\frac{10 e}{x}-\frac{5 d}{x^{2}}-\frac{45 e}{2 x^{2}}-\frac{15 d}{x^{3}}-\frac{40 e}{x^{3}}-\frac{30 d}{x^{4}}-\frac{105 e}{2 x^{4}}-\frac{42 d}{x^{5}}-\frac{252 e}{5 x^{5}}-\frac{42 d}{x^{6}}-\frac{35 e}{x^{6}}-\frac{30 d}{x^{7}}-\frac{120 e}{7 x^{7}}-\frac{15 d}{x^{8}}-\frac{45 e}{8 x^{8}}-\frac{5 d}{x^{9}}-\frac{10 e}{9 x^{9}}-\frac{d}{x^{10}}-\frac{e}{10 x^{10}}-\frac{d}{11 x^{11}}"," ",0,"-42*d/x^5-252/5*e/x^5-30*d/x^4-105/2*e/x^4-15*d/x^3-40*e/x^3-15*d/x^8-45/8*e/x^8-d/x^10-1/10*e/x^10-5*d/x^2-45/2*e/x^2-5*d/x^9-10/9*e/x^9-30*d/x^7-120/7*e/x^7-42*d/x^6-35*e/x^6-d/x-10*e/x-1/11*d/x^11+e*ln(x)","A"
579,1,130,27,0.055000," ","int((e*x+d)*(x^2+2*x+1)^5/x^13,x)","-\frac{e}{x}-\frac{d +10 e}{2 x^{2}}-\frac{10 d +45 e}{3 x^{3}}-\frac{45 d +120 e}{4 x^{4}}-\frac{120 d +210 e}{5 x^{5}}-\frac{210 d +252 e}{6 x^{6}}-\frac{252 d +210 e}{7 x^{7}}-\frac{210 d +120 e}{8 x^{8}}-\frac{120 d +45 e}{9 x^{9}}-\frac{45 d +10 e}{10 x^{10}}-\frac{d}{12 x^{12}}-\frac{10 d +e}{11 x^{11}}"," ",0,"-1/5*(120*d+210*e)/x^5-1/4*(45*d+120*e)/x^4-1/3*(10*d+45*e)/x^3-1/8*(210*d+120*e)/x^8-1/10*(45*d+10*e)/x^10-1/2*(d+10*e)/x^2-1/9*(120*d+45*e)/x^9-1/7*(252*d+210*e)/x^7-1/6*(210*d+252*e)/x^6-e/x-1/12*d/x^12-1/11*(10*d+e)/x^11","B"
580,1,130,46,0.056000," ","int((e*x+d)*(x^2+2*x+1)^5/x^14,x)","-\frac{e}{2 x^{2}}-\frac{d +10 e}{3 x^{3}}-\frac{10 d +45 e}{4 x^{4}}-\frac{45 d +120 e}{5 x^{5}}-\frac{120 d +210 e}{6 x^{6}}-\frac{210 d +252 e}{7 x^{7}}-\frac{252 d +210 e}{8 x^{8}}-\frac{210 d +120 e}{9 x^{9}}-\frac{120 d +45 e}{10 x^{10}}-\frac{45 d +10 e}{11 x^{11}}-\frac{d}{13 x^{13}}-\frac{10 d +e}{12 x^{12}}"," ",0,"-1/5*(45*d+120*e)/x^5-1/4*(10*d+45*e)/x^4-1/3*(d+10*e)/x^3-1/8*(252*d+210*e)/x^8-1/12*(10*d+e)/x^12-1/10*(120*d+45*e)/x^10-1/2*e/x^2-1/9*(210*d+120*e)/x^9-1/7*(210*d+252*e)/x^7-1/6*(120*d+210*e)/x^6-1/13*d/x^13-1/11*(45*d+10*e)/x^11","B"
581,1,130,63,0.054000," ","int((e*x+d)*(x^2+2*x+1)^5/x^15,x)","-\frac{e}{3 x^{3}}-\frac{d +10 e}{4 x^{4}}-\frac{10 d +45 e}{5 x^{5}}-\frac{45 d +120 e}{6 x^{6}}-\frac{120 d +210 e}{7 x^{7}}-\frac{210 d +252 e}{8 x^{8}}-\frac{252 d +210 e}{9 x^{9}}-\frac{210 d +120 e}{10 x^{10}}-\frac{120 d +45 e}{11 x^{11}}-\frac{45 d +10 e}{12 x^{12}}-\frac{d}{14 x^{14}}-\frac{10 d +e}{13 x^{13}}"," ",0,"-1/5*(10*d+45*e)/x^5-1/4*(d+10*e)/x^4-1/3*e/x^3-1/8*(210*d+252*e)/x^8-1/10*(210*d+120*e)/x^10-1/9*(252*d+210*e)/x^9-1/7*(120*d+210*e)/x^7-1/6*(45*d+120*e)/x^6-1/13*(10*d+e)/x^13-1/11*(120*d+45*e)/x^11-1/12*(45*d+10*e)/x^12-1/14*d/x^14","B"
582,1,130,80,0.064000," ","int((e*x+d)*(x^2+2*x+1)^5/x^16,x)","-\frac{e}{4 x^{4}}-\frac{d +10 e}{5 x^{5}}-\frac{10 d +45 e}{6 x^{6}}-\frac{45 d +120 e}{7 x^{7}}-\frac{120 d +210 e}{8 x^{8}}-\frac{210 d +252 e}{9 x^{9}}-\frac{252 d +210 e}{10 x^{10}}-\frac{210 d +120 e}{11 x^{11}}-\frac{120 d +45 e}{12 x^{12}}-\frac{45 d +10 e}{13 x^{13}}-\frac{d}{15 x^{15}}-\frac{10 d +e}{14 x^{14}}"," ",0,"-1/5*(d+10*e)/x^5-1/4*e/x^4-1/8*(120*d+210*e)/x^8-1/13*(45*d+10*e)/x^13-1/10*(252*d+210*e)/x^10-1/15*d/x^15-1/9*(210*d+252*e)/x^9-1/7*(45*d+120*e)/x^7-1/14*(10*d+e)/x^14-1/6*(10*d+45*e)/x^6-1/12*(120*d+45*e)/x^12-1/11*(210*d+120*e)/x^11","A"
583,1,130,97,0.053000," ","int((e*x+d)*(x^2+2*x+1)^5/x^17,x)","-\frac{e}{5 x^{5}}-\frac{d +10 e}{6 x^{6}}-\frac{10 d +45 e}{7 x^{7}}-\frac{45 d +120 e}{8 x^{8}}-\frac{120 d +210 e}{9 x^{9}}-\frac{210 d +252 e}{10 x^{10}}-\frac{252 d +210 e}{11 x^{11}}-\frac{210 d +120 e}{12 x^{12}}-\frac{120 d +45 e}{13 x^{13}}-\frac{45 d +10 e}{14 x^{14}}-\frac{d}{16 x^{16}}-\frac{10 d +e}{15 x^{15}}"," ",0,"-1/5*e/x^5-1/12*(210*d+120*e)/x^12-1/16*d/x^16-1/8*(45*d+120*e)/x^8-1/10*(210*d+252*e)/x^10-1/15*(10*d+e)/x^15-1/13*(120*d+45*e)/x^13-1/14*(45*d+10*e)/x^14-1/9*(120*d+210*e)/x^9-1/7*(10*d+45*e)/x^7-1/6*(d+10*e)/x^6-1/11*(252*d+210*e)/x^11","A"
584,1,130,114,0.051000," ","int((e*x+d)*(x^2+2*x+1)^5/x^18,x)","-\frac{e}{6 x^{6}}-\frac{d +10 e}{7 x^{7}}-\frac{10 d +45 e}{8 x^{8}}-\frac{45 d +120 e}{9 x^{9}}-\frac{120 d +210 e}{10 x^{10}}-\frac{210 d +252 e}{11 x^{11}}-\frac{252 d +210 e}{12 x^{12}}-\frac{210 d +120 e}{13 x^{13}}-\frac{120 d +45 e}{14 x^{14}}-\frac{45 d +10 e}{15 x^{15}}-\frac{d}{17 x^{17}}-\frac{10 d +e}{16 x^{16}}"," ",0,"-1/14*(120*d+45*e)/x^14-1/13*(210*d+120*e)/x^13-1/16*(10*d+e)/x^16-1/8*(10*d+45*e)/x^8-1/10*(120*d+210*e)/x^10-1/15*(45*d+10*e)/x^15-1/9*(45*d+120*e)/x^9-1/17*d/x^17-1/12*(252*d+210*e)/x^12-1/7*(d+10*e)/x^7-1/6*e/x^6-1/11*(210*d+252*e)/x^11","A"
585,1,130,132,0.054000," ","int((e*x+d)*(x^2+2*x+1)^5/x^19,x)","-\frac{e}{7 x^{7}}-\frac{d +10 e}{8 x^{8}}-\frac{10 d +45 e}{9 x^{9}}-\frac{45 d +120 e}{10 x^{10}}-\frac{120 d +210 e}{11 x^{11}}-\frac{210 d +252 e}{12 x^{12}}-\frac{252 d +210 e}{13 x^{13}}-\frac{210 d +120 e}{14 x^{14}}-\frac{120 d +45 e}{15 x^{15}}-\frac{45 d +10 e}{16 x^{16}}-\frac{d}{18 x^{18}}-\frac{10 d +e}{17 x^{17}}"," ",0,"-1/8*(d+10*e)/x^8-1/10*(45*d+120*e)/x^10-1/15*(120*d+45*e)/x^15-1/17*(10*d+e)/x^17-1/16*(45*d+10*e)/x^16-1/14*(210*d+120*e)/x^14-1/9*(10*d+45*e)/x^9-1/7*e/x^7-1/18*d/x^18-1/12*(210*d+252*e)/x^12-1/13*(252*d+210*e)/x^13-1/11*(120*d+210*e)/x^11","A"
586,1,130,133,0.051000," ","int((e*x+d)*(x^2+2*x+1)^5/x^20,x)","-\frac{e}{8 x^{8}}-\frac{d +10 e}{9 x^{9}}-\frac{10 d +45 e}{10 x^{10}}-\frac{45 d +120 e}{11 x^{11}}-\frac{120 d +210 e}{12 x^{12}}-\frac{210 d +252 e}{13 x^{13}}-\frac{252 d +210 e}{14 x^{14}}-\frac{210 d +120 e}{15 x^{15}}-\frac{120 d +45 e}{16 x^{16}}-\frac{45 d +10 e}{17 x^{17}}-\frac{d}{19 x^{19}}-\frac{10 d +e}{18 x^{18}}"," ",0,"-1/13*(210*d+252*e)/x^13-1/14*(252*d+210*e)/x^14-1/8*e/x^8-1/10*(10*d+45*e)/x^10-1/17*(45*d+10*e)/x^17-1/15*(210*d+120*e)/x^15-1/12*(120*d+210*e)/x^12-1/9*(d+10*e)/x^9-1/18*(10*d+e)/x^18-1/19*d/x^19-1/11*(45*d+120*e)/x^11-1/16*(120*d+45*e)/x^16","A"
587,1,130,133,0.048000," ","int((e*x+d)*(x^2+2*x+1)^5/x^21,x)","-\frac{e}{9 x^{9}}-\frac{d +10 e}{10 x^{10}}-\frac{10 d +45 e}{11 x^{11}}-\frac{45 d +120 e}{12 x^{12}}-\frac{120 d +210 e}{13 x^{13}}-\frac{210 d +252 e}{14 x^{14}}-\frac{252 d +210 e}{15 x^{15}}-\frac{210 d +120 e}{16 x^{16}}-\frac{120 d +45 e}{17 x^{17}}-\frac{45 d +10 e}{18 x^{18}}-\frac{d}{20 x^{20}}-\frac{10 d +e}{19 x^{19}}"," ",0,"-1/10*(d+10*e)/x^10-1/13*(120*d+210*e)/x^13-1/15*(252*d+210*e)/x^15-1/14*(210*d+252*e)/x^14-1/20*d/x^20-1/17*(120*d+45*e)/x^17-1/9*e/x^9-1/12*(45*d+120*e)/x^12-1/18*(45*d+10*e)/x^18-1/19*(10*d+e)/x^19-1/11*(10*d+45*e)/x^11-1/16*(210*d+120*e)/x^16","A"
588,1,62,61,0.058000," ","int(x^11*(x+1)*(x^2+2*x+1)^5,x)","\frac{1}{23} x^{23}+\frac{1}{2} x^{22}+\frac{55}{21} x^{21}+\frac{33}{4} x^{20}+\frac{330}{19} x^{19}+\frac{77}{3} x^{18}+\frac{462}{17} x^{17}+\frac{165}{8} x^{16}+11 x^{15}+\frac{55}{14} x^{14}+\frac{11}{13} x^{13}+\frac{1}{12} x^{12}"," ",0,"1/12*x^12+11/13*x^13+55/14*x^14+11*x^15+165/8*x^16+462/17*x^17+77/3*x^18+330/19*x^19+33/4*x^20+55/21*x^21+1/2*x^22+1/23*x^23","A"
589,1,62,61,0.043000," ","int(x^10*(x+1)*(x^2+2*x+1)^5,x)","\frac{1}{22} x^{22}+\frac{11}{21} x^{21}+\frac{11}{4} x^{20}+\frac{165}{19} x^{19}+\frac{55}{3} x^{18}+\frac{462}{17} x^{17}+\frac{231}{8} x^{16}+22 x^{15}+\frac{165}{14} x^{14}+\frac{55}{13} x^{13}+\frac{11}{12} x^{12}+\frac{1}{11} x^{11}"," ",0,"1/11*x^11+11/12*x^12+55/13*x^13+165/14*x^14+22*x^15+231/8*x^16+462/17*x^17+55/3*x^18+165/19*x^19+11/4*x^20+11/21*x^21+1/22*x^22","A"
590,1,60,71,0.040000," ","int(x^9*(x+1)*(x^2+2*x+1)^5,x)","\frac{1}{21} x^{21}+\frac{11}{20} x^{20}+\frac{55}{19} x^{19}+\frac{55}{6} x^{18}+\frac{330}{17} x^{17}+\frac{231}{8} x^{16}+\frac{154}{5} x^{15}+\frac{165}{7} x^{14}+\frac{165}{13} x^{13}+\frac{55}{12} x^{12}+x^{11}+\frac{1}{10} x^{10}"," ",0,"1/21*x^21+11/20*x^20+55/19*x^19+55/6*x^18+330/17*x^17+231/8*x^16+154/5*x^15+165/7*x^14+165/13*x^13+55/12*x^12+x^11+1/10*x^10","A"
591,1,62,64,0.082000," ","int(x^8*(x+1)*(x^2+2*x+1)^5,x)","\frac{1}{20} x^{20}+\frac{11}{19} x^{19}+\frac{55}{18} x^{18}+\frac{165}{17} x^{17}+\frac{165}{8} x^{16}+\frac{154}{5} x^{15}+33 x^{14}+\frac{330}{13} x^{13}+\frac{55}{4} x^{12}+5 x^{11}+\frac{11}{10} x^{10}+\frac{1}{9} x^{9}"," ",0,"1/20*x^20+11/19*x^19+55/18*x^18+165/17*x^17+165/8*x^16+154/5*x^15+33*x^14+330/13*x^13+55/4*x^12+5*x^11+11/10*x^10+1/9*x^9","A"
592,1,62,57,0.042000," ","int(x^7*(x+1)*(x^2+2*x+1)^5,x)","\frac{1}{19} x^{19}+\frac{11}{18} x^{18}+\frac{55}{17} x^{17}+\frac{165}{16} x^{16}+22 x^{15}+33 x^{14}+\frac{462}{13} x^{13}+\frac{55}{2} x^{12}+15 x^{11}+\frac{11}{2} x^{10}+\frac{11}{9} x^{9}+\frac{1}{8} x^{8}"," ",0,"1/19*x^19+11/18*x^18+55/17*x^17+165/16*x^16+22*x^15+33*x^14+462/13*x^13+55/2*x^12+15*x^11+11/2*x^10+11/9*x^9+1/8*x^8","A"
593,1,62,50,0.038000," ","int(x^6*(x+1)*(x^2+2*x+1)^5,x)","\frac{1}{18} x^{18}+\frac{11}{17} x^{17}+\frac{55}{16} x^{16}+11 x^{15}+\frac{165}{7} x^{14}+\frac{462}{13} x^{13}+\frac{77}{2} x^{12}+30 x^{11}+\frac{33}{2} x^{10}+\frac{55}{9} x^{9}+\frac{11}{8} x^{8}+\frac{1}{7} x^{7}"," ",0,"1/18*x^18+11/17*x^17+55/16*x^16+11*x^15+165/7*x^14+462/13*x^13+77/2*x^12+30*x^11+33/2*x^10+55/9*x^9+11/8*x^8+1/7*x^7","A"
594,1,62,43,0.042000," ","int(x^5*(x+1)*(x^2+2*x+1)^5,x)","\frac{1}{17} x^{17}+\frac{11}{16} x^{16}+\frac{11}{3} x^{15}+\frac{165}{14} x^{14}+\frac{330}{13} x^{13}+\frac{77}{2} x^{12}+42 x^{11}+33 x^{10}+\frac{55}{3} x^{9}+\frac{55}{8} x^{8}+\frac{11}{7} x^{7}+\frac{1}{6} x^{6}"," ",0,"1/17*x^17+11/16*x^16+11/3*x^15+165/14*x^14+330/13*x^13+77/2*x^12+42*x^11+33*x^10+55/3*x^9+55/8*x^8+11/7*x^7+1/6*x^6","A"
595,1,62,36,0.040000," ","int(x^4*(x+1)*(x^2+2*x+1)^5,x)","\frac{1}{16} x^{16}+\frac{11}{15} x^{15}+\frac{55}{14} x^{14}+\frac{165}{13} x^{13}+\frac{55}{2} x^{12}+42 x^{11}+\frac{231}{5} x^{10}+\frac{110}{3} x^{9}+\frac{165}{8} x^{8}+\frac{55}{7} x^{7}+\frac{11}{6} x^{6}+\frac{1}{5} x^{5}"," ",0,"1/16*x^16+11/15*x^15+55/14*x^14+165/13*x^13+55/2*x^12+42*x^11+231/5*x^10+110/3*x^9+165/8*x^8+55/7*x^7+11/6*x^6+1/5*x^5","A"
596,1,62,29,0.049000," ","int(x^3*(x+1)*(x^2+2*x+1)^5,x)","\frac{1}{15} x^{15}+\frac{11}{14} x^{14}+\frac{55}{13} x^{13}+\frac{55}{4} x^{12}+30 x^{11}+\frac{231}{5} x^{10}+\frac{154}{3} x^{9}+\frac{165}{4} x^{8}+\frac{165}{7} x^{7}+\frac{55}{6} x^{6}+\frac{11}{5} x^{5}+\frac{1}{4} x^{4}"," ",0,"1/15*x^15+11/14*x^14+55/13*x^13+55/4*x^12+30*x^11+231/5*x^10+154/3*x^9+165/4*x^8+165/7*x^7+55/6*x^6+11/5*x^5+1/4*x^4","B"
597,1,62,22,0.048000," ","int(x^2*(x+1)*(x^2+2*x+1)^5,x)","\frac{1}{14} x^{14}+\frac{11}{13} x^{13}+\frac{55}{12} x^{12}+15 x^{11}+33 x^{10}+\frac{154}{3} x^{9}+\frac{231}{4} x^{8}+\frac{330}{7} x^{7}+\frac{55}{2} x^{6}+11 x^{5}+\frac{11}{4} x^{4}+\frac{1}{3} x^{3}"," ",0,"1/14*x^14+11/13*x^13+55/12*x^12+15*x^11+33*x^10+154/3*x^9+231/4*x^8+330/7*x^7+55/2*x^6+11*x^5+11/4*x^4+1/3*x^3","B"
598,1,62,15,0.038000," ","int(x*(x+1)*(x^2+2*x+1)^5,x)","\frac{1}{13} x^{13}+\frac{11}{12} x^{12}+5 x^{11}+\frac{33}{2} x^{10}+\frac{110}{3} x^{9}+\frac{231}{4} x^{8}+66 x^{7}+55 x^{6}+33 x^{5}+\frac{55}{4} x^{4}+\frac{11}{3} x^{3}+\frac{1}{2} x^{2}"," ",0,"1/13*x^13+11/12*x^12+5*x^11+33/2*x^10+110/3*x^9+231/4*x^8+66*x^7+55*x^6+33*x^5+55/4*x^4+11/3*x^3+1/2*x^2","B"
599,1,56,7,0.045000," ","int((x+1)*(x^2+2*x+1)^5,x)","\frac{1}{12} x^{12}+x^{11}+\frac{11}{2} x^{10}+\frac{55}{3} x^{9}+\frac{165}{4} x^{8}+66 x^{7}+77 x^{6}+66 x^{5}+\frac{165}{4} x^{4}+\frac{55}{3} x^{3}+\frac{11}{2} x^{2}+x"," ",0,"1/12*x^12+x^11+11/2*x^10+55/3*x^9+165/4*x^8+66*x^7+77*x^6+66*x^5+165/4*x^4+55/3*x^3+11/2*x^2+x","B"
600,1,57,56,0.049000," ","int((x+1)*(x^2+2*x+1)^5/x,x)","\frac{x^{11}}{11}+\frac{11 x^{10}}{10}+\frac{55 x^{9}}{9}+\frac{165 x^{8}}{8}+\frac{330 x^{7}}{7}+77 x^{6}+\frac{462 x^{5}}{5}+\frac{165 x^{4}}{2}+55 x^{3}+\frac{55 x^{2}}{2}+11 x +\ln \left(x \right)"," ",0,"11*x+55/2*x^2+55*x^3+165/2*x^4+462/5*x^5+77*x^6+330/7*x^7+165/8*x^8+55/9*x^9+11/10*x^10+1/11*x^11+ln(x)","A"
601,1,59,58,0.052000," ","int((x+1)*(x^2+2*x+1)^5/x^2,x)","\frac{x^{10}}{10}+\frac{11 x^{9}}{9}+\frac{55 x^{8}}{8}+\frac{165 x^{7}}{7}+55 x^{6}+\frac{462 x^{5}}{5}+\frac{231 x^{4}}{2}+110 x^{3}+\frac{165 x^{2}}{2}+55 x +11 \ln \left(x \right)-\frac{1}{x}"," ",0,"-1/x+55*x+165/2*x^2+110*x^3+231/2*x^4+462/5*x^5+55*x^6+165/7*x^7+55/8*x^8+11/9*x^9+1/10*x^10+11*ln(x)","A"
602,1,59,58,0.056000," ","int((x+1)*(x^2+2*x+1)^5/x^3,x)","\frac{x^{9}}{9}+\frac{11 x^{8}}{8}+\frac{55 x^{7}}{7}+\frac{55 x^{6}}{2}+66 x^{5}+\frac{231 x^{4}}{2}+154 x^{3}+165 x^{2}+165 x +55 \ln \left(x \right)-\frac{11}{x}-\frac{1}{2 x^{2}}"," ",0,"-1/2/x^2-11/x+165*x+165*x^2+154*x^3+231/2*x^4+66*x^5+55/2*x^6+55/7*x^7+11/8*x^8+1/9*x^9+55*ln(x)","A"
603,1,59,58,0.056000," ","int((x+1)*(x^2+2*x+1)^5/x^4,x)","\frac{x^{8}}{8}+\frac{11 x^{7}}{7}+\frac{55 x^{6}}{6}+33 x^{5}+\frac{165 x^{4}}{2}+154 x^{3}+231 x^{2}+330 x +165 \ln \left(x \right)-\frac{55}{x}-\frac{11}{2 x^{2}}-\frac{1}{3 x^{3}}"," ",0,"-1/3/x^3-11/2/x^2-55/x+330*x+231*x^2+154*x^3+165/2*x^4+33*x^5+55/6*x^6+11/7*x^7+1/8*x^8+165*ln(x)","A"
604,1,59,58,0.050000," ","int((x+1)*(x^2+2*x+1)^5/x^5,x)","\frac{x^{7}}{7}+\frac{11 x^{6}}{6}+11 x^{5}+\frac{165 x^{4}}{4}+110 x^{3}+231 x^{2}+462 x +330 \ln \left(x \right)-\frac{165}{x}-\frac{55}{2 x^{2}}-\frac{11}{3 x^{3}}-\frac{1}{4 x^{4}}"," ",0,"-1/4/x^4-11/3/x^3-55/2/x^2-165/x+462*x+231*x^2+110*x^3+165/4*x^4+11*x^5+11/6*x^6+1/7*x^7+330*ln(x)","A"
605,1,59,58,0.048000," ","int((x+1)*(x^2+2*x+1)^5/x^6,x)","\frac{x^{6}}{6}+\frac{11 x^{5}}{5}+\frac{55 x^{4}}{4}+55 x^{3}+165 x^{2}+462 x +462 \ln \left(x \right)-\frac{330}{x}-\frac{165}{2 x^{2}}-\frac{55}{3 x^{3}}-\frac{11}{4 x^{4}}-\frac{1}{5 x^{5}}"," ",0,"-1/5/x^5-11/4/x^4-55/3/x^3-165/2/x^2-330/x+462*x+165*x^2+55*x^3+55/4*x^4+11/5*x^5+1/6*x^6+462*ln(x)","A"
606,1,59,58,0.055000," ","int((x+1)*(x^2+2*x+1)^5/x^7,x)","\frac{x^{5}}{5}+\frac{11 x^{4}}{4}+\frac{55 x^{3}}{3}+\frac{165 x^{2}}{2}+330 x +462 \ln \left(x \right)-\frac{462}{x}-\frac{165}{x^{2}}-\frac{55}{x^{3}}-\frac{55}{4 x^{4}}-\frac{11}{5 x^{5}}-\frac{1}{6 x^{6}}"," ",0,"-1/6/x^6-11/5/x^5-55/4/x^4-55/x^3-165/x^2-462/x+330*x+165/2*x^2+55/3*x^3+11/4*x^4+1/5*x^5+462*ln(x)","A"
607,1,59,58,0.053000," ","int((x+1)*(x^2+2*x+1)^5/x^8,x)","\frac{x^{4}}{4}+\frac{11 x^{3}}{3}+\frac{55 x^{2}}{2}+165 x +330 \ln \left(x \right)-\frac{462}{x}-\frac{231}{x^{2}}-\frac{110}{x^{3}}-\frac{165}{4 x^{4}}-\frac{11}{x^{5}}-\frac{11}{6 x^{6}}-\frac{1}{7 x^{7}}"," ",0,"-1/7/x^7-11/6/x^6-11/x^5-165/4/x^4-110/x^3-231/x^2-462/x+165*x+55/2*x^2+11/3*x^3+1/4*x^4+330*ln(x)","A"
608,1,59,58,0.043000," ","int((x+1)*(x^2+2*x+1)^5/x^9,x)","\frac{x^{3}}{3}+\frac{11 x^{2}}{2}+55 x +165 \ln \left(x \right)-\frac{330}{x}-\frac{231}{x^{2}}-\frac{154}{x^{3}}-\frac{165}{2 x^{4}}-\frac{33}{x^{5}}-\frac{55}{6 x^{6}}-\frac{11}{7 x^{7}}-\frac{1}{8 x^{8}}"," ",0,"-1/8/x^8-11/7/x^7-55/6/x^6-33/x^5-165/2/x^4-154/x^3-231/x^2-330/x+55*x+11/2*x^2+1/3*x^3+165*ln(x)","A"
609,1,59,58,0.056000," ","int((x+1)*(x^2+2*x+1)^5/x^10,x)","\frac{x^{2}}{2}+11 x +55 \ln \left(x \right)-\frac{165}{x}-\frac{165}{x^{2}}-\frac{154}{x^{3}}-\frac{231}{2 x^{4}}-\frac{66}{x^{5}}-\frac{55}{2 x^{6}}-\frac{55}{7 x^{7}}-\frac{11}{8 x^{8}}-\frac{1}{9 x^{9}}"," ",0,"-1/9/x^9-11/8/x^8-55/7/x^7-55/2/x^6-66/x^5-231/2/x^4-154/x^3-165/x^2-165/x+11*x+1/2*x^2+55*ln(x)","A"
610,1,57,56,0.054000," ","int((x+1)*(x^2+2*x+1)^5/x^11,x)","x +11 \ln \left(x \right)-\frac{55}{x}-\frac{165}{2 x^{2}}-\frac{110}{x^{3}}-\frac{231}{2 x^{4}}-\frac{462}{5 x^{5}}-\frac{55}{x^{6}}-\frac{165}{7 x^{7}}-\frac{55}{8 x^{8}}-\frac{11}{9 x^{9}}-\frac{1}{10 x^{10}}"," ",0,"-1/10/x^10-11/9/x^9-55/8/x^8-165/7/x^7-55/x^6-462/5/x^5-231/2/x^4-110/x^3-165/2/x^2-55/x+x+11*ln(x)","A"
611,1,59,58,0.052000," ","int((x+1)*(x^2+2*x+1)^5/x^12,x)","\ln \left(x \right)-\frac{11}{x}-\frac{55}{2 x^{2}}-\frac{55}{x^{3}}-\frac{165}{2 x^{4}}-\frac{462}{5 x^{5}}-\frac{77}{x^{6}}-\frac{330}{7 x^{7}}-\frac{165}{8 x^{8}}-\frac{55}{9 x^{9}}-\frac{11}{10 x^{10}}-\frac{1}{11 x^{11}}"," ",0,"-1/11/x^11-11/10/x^10-55/9/x^9-165/8/x^8-330/7/x^7-77/x^6-462/5/x^5-165/2/x^4-55/x^3-55/2/x^2-11/x+ln(x)","A"
612,1,62,10,0.051000," ","int((x+1)*(x^2+2*x+1)^5/x^13,x)","-\frac{1}{x}-\frac{11}{2 x^{2}}-\frac{55}{3 x^{3}}-\frac{165}{4 x^{4}}-\frac{66}{x^{5}}-\frac{77}{x^{6}}-\frac{66}{x^{7}}-\frac{165}{4 x^{8}}-\frac{55}{3 x^{9}}-\frac{11}{2 x^{10}}-\frac{1}{x^{11}}-\frac{1}{12 x^{12}}"," ",0,"-66/x^5-165/4/x^4-55/3/x^3-165/4/x^8-11/2/x^10-11/2/x^2-55/3/x^9-66/x^7-77/x^6-1/x-1/12/x^12-1/x^11","B"
613,1,62,21,0.045000," ","int((x+1)*(x^2+2*x+1)^5/x^14,x)","-\frac{1}{2 x^{2}}-\frac{11}{3 x^{3}}-\frac{55}{4 x^{4}}-\frac{33}{x^{5}}-\frac{55}{x^{6}}-\frac{66}{x^{7}}-\frac{231}{4 x^{8}}-\frac{110}{3 x^{9}}-\frac{33}{2 x^{10}}-\frac{5}{x^{11}}-\frac{11}{12 x^{12}}-\frac{1}{13 x^{13}}"," ",0,"-33/x^5-55/4/x^4-11/3/x^3-11/12/x^12-231/4/x^8-33/2/x^10-1/2/x^2-110/3/x^9-66/x^7-55/x^6-1/13/x^13-5/x^11","B"
614,1,62,31,0.052000," ","int((x+1)*(x^2+2*x+1)^5/x^15,x)","-\frac{1}{3 x^{3}}-\frac{11}{4 x^{4}}-\frac{11}{x^{5}}-\frac{55}{2 x^{6}}-\frac{330}{7 x^{7}}-\frac{231}{4 x^{8}}-\frac{154}{3 x^{9}}-\frac{33}{x^{10}}-\frac{15}{x^{11}}-\frac{55}{12 x^{12}}-\frac{11}{13 x^{13}}-\frac{1}{14 x^{14}}"," ",0,"-11/x^5-11/4/x^4-1/3/x^3-55/12/x^12-231/4/x^8-33/x^10-154/3/x^9-1/14/x^14-330/7/x^7-55/2/x^6-15/x^11-11/13/x^13","A"
615,1,62,41,0.048000," ","int((x+1)*(x^2+2*x+1)^5/x^16,x)","-\frac{1}{4 x^{4}}-\frac{11}{5 x^{5}}-\frac{55}{6 x^{6}}-\frac{165}{7 x^{7}}-\frac{165}{4 x^{8}}-\frac{154}{3 x^{9}}-\frac{231}{5 x^{10}}-\frac{30}{x^{11}}-\frac{55}{4 x^{12}}-\frac{55}{13 x^{13}}-\frac{11}{14 x^{14}}-\frac{1}{15 x^{15}}"," ",0,"-11/5/x^5-1/4/x^4-11/14/x^14-165/4/x^8-231/5/x^10-1/15/x^15-154/3/x^9-165/7/x^7-55/6/x^6-55/13/x^13-30/x^11-55/4/x^12","A"
616,1,62,51,0.054000," ","int((x+1)*(x^2+2*x+1)^5/x^17,x)","-\frac{1}{5 x^{5}}-\frac{11}{6 x^{6}}-\frac{55}{7 x^{7}}-\frac{165}{8 x^{8}}-\frac{110}{3 x^{9}}-\frac{231}{5 x^{10}}-\frac{42}{x^{11}}-\frac{55}{2 x^{12}}-\frac{165}{13 x^{13}}-\frac{55}{14 x^{14}}-\frac{11}{15 x^{15}}-\frac{1}{16 x^{16}}"," ",0,"-1/5/x^5-165/8/x^8-231/5/x^10-55/14/x^14-11/15/x^15-110/3/x^9-55/7/x^7-55/2/x^12-11/6/x^6-165/13/x^13-1/16/x^16-42/x^11","A"
617,1,62,61,0.051000," ","int((x+1)*(x^2+2*x+1)^5/x^18,x)","-\frac{1}{6 x^{6}}-\frac{11}{7 x^{7}}-\frac{55}{8 x^{8}}-\frac{55}{3 x^{9}}-\frac{33}{x^{10}}-\frac{42}{x^{11}}-\frac{77}{2 x^{12}}-\frac{330}{13 x^{13}}-\frac{165}{14 x^{14}}-\frac{11}{3 x^{15}}-\frac{11}{16 x^{16}}-\frac{1}{17 x^{17}}"," ",0,"-11/16/x^16-55/8/x^8-33/x^10-11/3/x^15-165/14/x^14-77/2/x^12-55/3/x^9-11/7/x^7-1/17/x^17-1/6/x^6-42/x^11-330/13/x^13","A"
618,1,62,71,0.050000," ","int((x+1)*(x^2+2*x+1)^5/x^19,x)","-\frac{1}{7 x^{7}}-\frac{11}{8 x^{8}}-\frac{55}{9 x^{9}}-\frac{33}{2 x^{10}}-\frac{30}{x^{11}}-\frac{77}{2 x^{12}}-\frac{462}{13 x^{13}}-\frac{165}{7 x^{14}}-\frac{11}{x^{15}}-\frac{55}{16 x^{16}}-\frac{11}{17 x^{17}}-\frac{1}{18 x^{18}}"," ",0,"-462/13/x^13-77/2/x^12-11/8/x^8-33/2/x^10-11/x^15-55/9/x^9-55/16/x^16-1/18/x^18-1/7/x^7-165/7/x^14-11/17/x^17-30/x^11","A"
619,1,62,81,0.054000," ","int((x+1)*(x^2+2*x+1)^5/x^20,x)","-\frac{1}{8 x^{8}}-\frac{11}{9 x^{9}}-\frac{11}{2 x^{10}}-\frac{15}{x^{11}}-\frac{55}{2 x^{12}}-\frac{462}{13 x^{13}}-\frac{33}{x^{14}}-\frac{22}{x^{15}}-\frac{165}{16 x^{16}}-\frac{55}{17 x^{17}}-\frac{11}{18 x^{18}}-\frac{1}{19 x^{19}}"," ",0,"-462/13/x^13-1/8/x^8-11/18/x^18-11/2/x^10-22/x^15-55/2/x^12-33/x^14-11/9/x^9-165/16/x^16-55/17/x^17-1/19/x^19-15/x^11","A"
620,1,62,61,0.048000," ","int((x+1)*(x^2+2*x+1)^5/x^21,x)","-\frac{1}{9 x^{9}}-\frac{11}{10 x^{10}}-\frac{5}{x^{11}}-\frac{55}{4 x^{12}}-\frac{330}{13 x^{13}}-\frac{33}{x^{14}}-\frac{154}{5 x^{15}}-\frac{165}{8 x^{16}}-\frac{165}{17 x^{17}}-\frac{55}{18 x^{18}}-\frac{11}{19 x^{19}}-\frac{1}{20 x^{20}}"," ",0,"-1/20/x^20-11/19/x^19-55/18/x^18-165/17/x^17-165/8/x^16-154/5/x^15-33/x^14-330/13/x^13-55/4/x^12-5/x^11-11/10/x^10-1/9/x^9","A"
621,1,62,61,0.053000," ","int((x+1)*(x^2+2*x+1)^5/x^22,x)","-\frac{1}{10 x^{10}}-\frac{1}{x^{11}}-\frac{55}{12 x^{12}}-\frac{165}{13 x^{13}}-\frac{165}{7 x^{14}}-\frac{154}{5 x^{15}}-\frac{231}{8 x^{16}}-\frac{330}{17 x^{17}}-\frac{55}{6 x^{18}}-\frac{55}{19 x^{19}}-\frac{11}{20 x^{20}}-\frac{1}{21 x^{21}}"," ",0,"-1/21/x^21-11/20/x^20-55/19/x^19-55/6/x^18-330/17/x^17-231/8/x^16-154/5/x^15-165/7/x^14-165/13/x^13-55/12/x^12-1/x^11-1/10/x^10","A"
622,1,156,126,0.059000," ","int(x^5*(B*x+A)/(b^2*x^2+2*a*b*x+a^2),x)","\frac{B \,x^{5}}{5 b^{2}}+\frac{A \,x^{4}}{4 b^{2}}-\frac{B a \,x^{4}}{2 b^{3}}-\frac{2 A a \,x^{3}}{3 b^{3}}+\frac{B \,a^{2} x^{3}}{b^{4}}+\frac{3 A \,a^{2} x^{2}}{2 b^{4}}-\frac{2 B \,a^{3} x^{2}}{b^{5}}+\frac{A \,a^{5}}{\left(b x +a \right) b^{6}}+\frac{5 A \,a^{4} \ln \left(b x +a \right)}{b^{6}}-\frac{4 A \,a^{3} x}{b^{5}}-\frac{B \,a^{6}}{\left(b x +a \right) b^{7}}-\frac{6 B \,a^{5} \ln \left(b x +a \right)}{b^{7}}+\frac{5 B \,a^{4} x}{b^{6}}"," ",0,"1/5*B*x^5/b^2+1/4/b^2*A*x^4-1/2/b^3*B*x^4*a-2/3/b^3*A*x^3*a+1/b^4*B*x^3*a^2+3/2/b^4*A*x^2*a^2-2/b^5*B*x^2*a^3-4/b^5*A*a^3*x+5/b^6*B*a^4*x+5*a^4/b^6*ln(b*x+a)*A-6*a^5/b^7*ln(b*x+a)*B+a^5/b^6/(b*x+a)*A-a^6/b^7/(b*x+a)*B","A"
623,1,133,107,0.054000," ","int(x^4*(B*x+A)/(b^2*x^2+2*a*b*x+a^2),x)","\frac{B \,x^{4}}{4 b^{2}}+\frac{A \,x^{3}}{3 b^{2}}-\frac{2 B a \,x^{3}}{3 b^{3}}-\frac{A a \,x^{2}}{b^{3}}+\frac{3 B \,a^{2} x^{2}}{2 b^{4}}-\frac{A \,a^{4}}{\left(b x +a \right) b^{5}}-\frac{4 A \,a^{3} \ln \left(b x +a \right)}{b^{5}}+\frac{3 A \,a^{2} x}{b^{4}}+\frac{B \,a^{5}}{\left(b x +a \right) b^{6}}+\frac{5 B \,a^{4} \ln \left(b x +a \right)}{b^{6}}-\frac{4 B \,a^{3} x}{b^{5}}"," ",0,"1/4*B*x^4/b^2+1/3/b^2*A*x^3-2/3/b^3*B*x^3*a-1/b^3*A*x^2*a+3/2/b^4*B*x^2*a^2+3/b^4*A*a^2*x-4/b^5*B*x*a^3-4*a^3/b^5*ln(b*x+a)*A+5*a^4/b^6*ln(b*x+a)*B-a^4/b^5/(b*x+a)*A+a^5/b^6/(b*x+a)*B","A"
624,1,109,86,0.059000," ","int(x^3*(B*x+A)/(b^2*x^2+2*a*b*x+a^2),x)","\frac{B \,x^{3}}{3 b^{2}}+\frac{A \,x^{2}}{2 b^{2}}-\frac{B a \,x^{2}}{b^{3}}+\frac{A \,a^{3}}{\left(b x +a \right) b^{4}}+\frac{3 A \,a^{2} \ln \left(b x +a \right)}{b^{4}}-\frac{2 A a x}{b^{3}}-\frac{B \,a^{4}}{\left(b x +a \right) b^{5}}-\frac{4 B \,a^{3} \ln \left(b x +a \right)}{b^{5}}+\frac{3 B \,a^{2} x}{b^{4}}"," ",0,"1/3*B/b^2*x^3+1/2/b^2*A*x^2-1/b^3*a*B*x^2-2/b^3*A*a*x+3/b^4*B*x*a^2+3*a^2/b^4*ln(b*x+a)*A-4*a^3/b^5*ln(b*x+a)*B+a^3/b^4/(b*x+a)*A-a^4/b^5/(b*x+a)*B","A"
625,1,84,67,0.061000," ","int(x^2*(B*x+A)/(b^2*x^2+2*a*b*x+a^2),x)","\frac{B \,x^{2}}{2 b^{2}}-\frac{A \,a^{2}}{\left(b x +a \right) b^{3}}-\frac{2 A a \ln \left(b x +a \right)}{b^{3}}+\frac{A x}{b^{2}}+\frac{B \,a^{3}}{\left(b x +a \right) b^{4}}+\frac{3 B \,a^{2} \ln \left(b x +a \right)}{b^{4}}-\frac{2 B a x}{b^{3}}"," ",0,"1/2*B*x^2/b^2+1/b^2*A*x-2/b^3*B*a*x-2*a/b^3*ln(b*x+a)*A+3*a^2/b^4*ln(b*x+a)*B-a^2/b^3/(b*x+a)*A+a^3/b^4/(b*x+a)*B","A"
626,1,61,45,0.059000," ","int(x*(B*x+A)/(b^2*x^2+2*a*b*x+a^2),x)","\frac{A a}{\left(b x +a \right) b^{2}}+\frac{A \ln \left(b x +a \right)}{b^{2}}-\frac{B \,a^{2}}{\left(b x +a \right) b^{3}}-\frac{2 B a \ln \left(b x +a \right)}{b^{3}}+\frac{B x}{b^{2}}"," ",0,"B*x/b^2+1/b^2*ln(b*x+a)*A-2/b^3*ln(b*x+a)*B*a+a/b^2/(b*x+a)*A-a^2/b^3/(b*x+a)*B","A"
627,1,39,31,0.062000," ","int((B*x+A)/(b^2*x^2+2*a*b*x+a^2),x)","-\frac{A}{\left(b x +a \right) b}+\frac{B a}{\left(b x +a \right) b^{2}}+\frac{B \ln \left(b x +a \right)}{b^{2}}"," ",0,"B*ln(b*x+a)/b^2-1/b/(b*x+a)*A+1/b^2/(b*x+a)*B*a","A"
628,1,46,42,0.056000," ","int((B*x+A)/x/(b^2*x^2+2*a*b*x+a^2),x)","\frac{A}{\left(b x +a \right) a}+\frac{A \ln \left(x \right)}{a^{2}}-\frac{A \ln \left(b x +a \right)}{a^{2}}-\frac{B}{\left(b x +a \right) b}"," ",0,"1/a/(b*x+a)*A-1/b/(b*x+a)*B-A*ln(b*x+a)/a^2+A/a^2*ln(x)","A"
629,1,78,64,0.061000," ","int((B*x+A)/x^2/(b^2*x^2+2*a*b*x+a^2),x)","-\frac{A b}{\left(b x +a \right) a^{2}}-\frac{2 A b \ln \left(x \right)}{a^{3}}+\frac{2 A b \ln \left(b x +a \right)}{a^{3}}+\frac{B}{\left(b x +a \right) a}+\frac{B \ln \left(x \right)}{a^{2}}-\frac{B \ln \left(b x +a \right)}{a^{2}}-\frac{A}{a^{2} x}"," ",0,"2/a^3*ln(b*x+a)*A*b-1/a^2*ln(b*x+a)*B-1/a^2/(b*x+a)*A*b+1/a/(b*x+a)*B-A/a^2/x-2/a^3*ln(x)*A*b+B/a^2*ln(x)","A"
630,1,107,83,0.058000," ","int((B*x+A)/x^3/(b^2*x^2+2*a*b*x+a^2),x)","\frac{A \,b^{2}}{\left(b x +a \right) a^{3}}+\frac{3 A \,b^{2} \ln \left(x \right)}{a^{4}}-\frac{3 A \,b^{2} \ln \left(b x +a \right)}{a^{4}}-\frac{B b}{\left(b x +a \right) a^{2}}-\frac{2 B b \ln \left(x \right)}{a^{3}}+\frac{2 B b \ln \left(b x +a \right)}{a^{3}}+\frac{2 A b}{a^{3} x}-\frac{B}{a^{2} x}-\frac{A}{2 a^{2} x^{2}}"," ",0,"-3*b^2/a^4*ln(b*x+a)*A+2*b/a^3*ln(b*x+a)*B+b^2/a^3/(b*x+a)*A-b/a^2/(b*x+a)*B-1/2*A/a^2/x^2+2*A/a^3*b/x-B/a^2/x+3*b^2/a^4*ln(x)*A-2*b/a^3*ln(x)*B","A"
631,1,134,109,0.056000," ","int((B*x+A)/x^4/(b^2*x^2+2*a*b*x+a^2),x)","-\frac{A \,b^{3}}{\left(b x +a \right) a^{4}}-\frac{4 A \,b^{3} \ln \left(x \right)}{a^{5}}+\frac{4 A \,b^{3} \ln \left(b x +a \right)}{a^{5}}+\frac{B \,b^{2}}{\left(b x +a \right) a^{3}}+\frac{3 B \,b^{2} \ln \left(x \right)}{a^{4}}-\frac{3 B \,b^{2} \ln \left(b x +a \right)}{a^{4}}-\frac{3 A \,b^{2}}{a^{4} x}+\frac{2 B b}{a^{3} x}+\frac{A b}{a^{3} x^{2}}-\frac{B}{2 a^{2} x^{2}}-\frac{A}{3 a^{2} x^{3}}"," ",0,"4*b^3/a^5*ln(b*x+a)*A-3*b^2/a^4*ln(b*x+a)*B-b^3/a^4/(b*x+a)*A+b^2/a^3/(b*x+a)*B-1/3*A/a^2/x^3+1/a^3/x^2*A*b-1/2/a^2/x^2*B-3*b^2/a^4/x*A+2*b/a^3/x*B-4*A/a^5*b^3*ln(x)+3*B/a^4*b^2*ln(x)","A"
632,1,158,127,0.056000," ","int((B*x+A)/x^5/(b^2*x^2+2*a*b*x+a^2),x)","\frac{A \,b^{4}}{\left(b x +a \right) a^{5}}+\frac{5 A \,b^{4} \ln \left(x \right)}{a^{6}}-\frac{5 A \,b^{4} \ln \left(b x +a \right)}{a^{6}}-\frac{B \,b^{3}}{\left(b x +a \right) a^{4}}-\frac{4 B \,b^{3} \ln \left(x \right)}{a^{5}}+\frac{4 B \,b^{3} \ln \left(b x +a \right)}{a^{5}}+\frac{4 A \,b^{3}}{a^{5} x}-\frac{3 B \,b^{2}}{a^{4} x}-\frac{3 A \,b^{2}}{2 a^{4} x^{2}}+\frac{B b}{a^{3} x^{2}}+\frac{2 A b}{3 a^{3} x^{3}}-\frac{B}{3 a^{2} x^{3}}-\frac{A}{4 a^{2} x^{4}}"," ",0,"-5*b^4/a^6*ln(b*x+a)*A+4*b^3/a^5*ln(b*x+a)*B+b^4/a^5/(b*x+a)*A-b^3/a^4/(b*x+a)*B-1/4*A/a^2/x^4+2/3/a^3/x^3*A*b-1/3/a^2/x^3*B-3/2*A/a^4*b^2/x^2+B/a^3*b/x^2+5*b^4/a^6*ln(x)*A-4*b^3/a^5*ln(x)*B+4*b^3/a^5/x*A-3*b^2/a^4/x*B","A"
633,1,174,135,0.055000," ","int(x^5*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{A \,a^{5}}{3 \left(b x +a \right)^{3} b^{6}}-\frac{B \,a^{6}}{3 \left(b x +a \right)^{3} b^{7}}+\frac{B \,x^{3}}{3 b^{4}}-\frac{5 A \,a^{4}}{2 \left(b x +a \right)^{2} b^{6}}+\frac{A \,x^{2}}{2 b^{4}}+\frac{3 B \,a^{5}}{\left(b x +a \right)^{2} b^{7}}-\frac{2 B a \,x^{2}}{b^{5}}+\frac{10 A \,a^{3}}{\left(b x +a \right) b^{6}}+\frac{10 A \,a^{2} \ln \left(b x +a \right)}{b^{6}}-\frac{4 A a x}{b^{5}}-\frac{15 B \,a^{4}}{\left(b x +a \right) b^{7}}-\frac{20 B \,a^{3} \ln \left(b x +a \right)}{b^{7}}+\frac{10 B \,a^{2} x}{b^{6}}"," ",0,"1/3*B*x^3/b^4+1/2/b^4*A*x^2-2/b^5*a*B*x^2-4/b^5*A*a*x+10/b^6*B*x*a^2+1/3*a^5/b^6/(b*x+a)^3*A-1/3*a^6/b^7/(b*x+a)^3*B-5/2*a^4/b^6/(b*x+a)^2*A+3*a^5/b^7/(b*x+a)^2*B+10*a^2/b^6*ln(b*x+a)*A-20*a^3/b^7*ln(b*x+a)*B+10*a^3/b^6/(b*x+a)*A-15*a^4/b^7/(b*x+a)*B","A"
634,1,149,115,0.060000," ","int(x^4*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{A \,a^{4}}{3 \left(b x +a \right)^{3} b^{5}}+\frac{B \,a^{5}}{3 \left(b x +a \right)^{3} b^{6}}+\frac{2 A \,a^{3}}{\left(b x +a \right)^{2} b^{5}}-\frac{5 B \,a^{4}}{2 \left(b x +a \right)^{2} b^{6}}+\frac{B \,x^{2}}{2 b^{4}}-\frac{6 A \,a^{2}}{\left(b x +a \right) b^{5}}-\frac{4 A a \ln \left(b x +a \right)}{b^{5}}+\frac{A x}{b^{4}}+\frac{10 B \,a^{3}}{\left(b x +a \right) b^{6}}+\frac{10 B \,a^{2} \ln \left(b x +a \right)}{b^{6}}-\frac{4 B a x}{b^{5}}"," ",0,"1/2*B*x^2/b^4+1/b^4*A*x-4/b^5*B*a*x-1/3*a^4/b^5/(b*x+a)^3*A+1/3*a^5/b^6/(b*x+a)^3*B-4*a/b^5*ln(b*x+a)*A+10*a^2/b^6*ln(b*x+a)*B+2*a^3/b^5/(b*x+a)^2*A-5/2*a^4/b^6/(b*x+a)^2*B-6*a^2/b^5/(b*x+a)*A+10*a^3/b^6/(b*x+a)*B","A"
635,1,126,93,0.061000," ","int(x^3*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{A \,a^{3}}{3 \left(b x +a \right)^{3} b^{4}}-\frac{B \,a^{4}}{3 \left(b x +a \right)^{3} b^{5}}-\frac{3 A \,a^{2}}{2 \left(b x +a \right)^{2} b^{4}}+\frac{2 B \,a^{3}}{\left(b x +a \right)^{2} b^{5}}+\frac{3 A a}{\left(b x +a \right) b^{4}}+\frac{A \ln \left(b x +a \right)}{b^{4}}-\frac{6 B \,a^{2}}{\left(b x +a \right) b^{5}}-\frac{4 B a \ln \left(b x +a \right)}{b^{5}}+\frac{B x}{b^{4}}"," ",0,"B*x/b^4+1/3*a^3/b^4/(b*x+a)^3*A-1/3*a^4/b^5/(b*x+a)^3*B+1/b^4*ln(b*x+a)*A-4/b^5*ln(b*x+a)*B*a+3*a/b^4/(b*x+a)*A-6*a^2/b^5/(b*x+a)*B-3/2*a^2/b^4/(b*x+a)^2*A+2*a^3/b^5/(b*x+a)^2*B","A"
636,1,101,68,0.070000," ","int(x^2*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{A \,a^{2}}{3 \left(b x +a \right)^{3} b^{3}}+\frac{B \,a^{3}}{3 \left(b x +a \right)^{3} b^{4}}+\frac{A a}{\left(b x +a \right)^{2} b^{3}}-\frac{3 B \,a^{2}}{2 \left(b x +a \right)^{2} b^{4}}-\frac{A}{\left(b x +a \right) b^{3}}+\frac{3 B a}{\left(b x +a \right) b^{4}}+\frac{B \ln \left(b x +a \right)}{b^{4}}"," ",0,"-1/3*a^2/b^3/(b*x+a)^3*A+1/3*a^3/b^4/(b*x+a)^3*B+a/b^3/(b*x+a)^2*A-3/2*a^2*B/b^4/(b*x+a)^2+B*ln(b*x+a)/b^4-1/b^3/(b*x+a)*A+3*a*B/b^4/(b*x+a)","A"
637,1,56,56,0.070000," ","int(x*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{B}{\left(b x +a \right) b^{3}}+\frac{\left(A b -B a \right) a}{3 \left(b x +a \right)^{3} b^{3}}-\frac{A b -2 B a}{2 \left(b x +a \right)^{2} b^{3}}"," ",0,"1/3*a*(A*b-B*a)/b^3/(b*x+a)^3-1/2*(A*b-2*B*a)/b^3/(b*x+a)^2-B/b^3/(b*x+a)","A"
638,1,35,34,0.056000," ","int((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{B}{2 \left(b x +a \right)^{2} b^{2}}-\frac{A b -B a}{3 \left(b x +a \right)^{3} b^{2}}"," ",0,"-1/3*(A*b-B*a)/b^2/(b*x+a)^3-1/2*B/b^2/(b*x+a)^2","A"
639,1,72,68,0.053000," ","int((B*x+A)/x/(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{A}{3 \left(b x +a \right)^{3} a}-\frac{B}{3 \left(b x +a \right)^{3} b}+\frac{A}{2 \left(b x +a \right)^{2} a^{2}}+\frac{A}{\left(b x +a \right) a^{3}}+\frac{A \ln \left(x \right)}{a^{4}}-\frac{A \ln \left(b x +a \right)}{a^{4}}"," ",0,"1/3/a/(b*x+a)^3*A-1/3/b/(b*x+a)^3*B-A*ln(b*x+a)/a^4+A/a^3/(b*x+a)+1/2*A/a^2/(b*x+a)^2+A*ln(x)/a^4","A"
640,1,132,104,0.056000," ","int((B*x+A)/x^2/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{A b}{3 \left(b x +a \right)^{3} a^{2}}+\frac{B}{3 \left(b x +a \right)^{3} a}-\frac{A b}{\left(b x +a \right)^{2} a^{3}}+\frac{B}{2 \left(b x +a \right)^{2} a^{2}}-\frac{3 A b}{\left(b x +a \right) a^{4}}-\frac{4 A b \ln \left(x \right)}{a^{5}}+\frac{4 A b \ln \left(b x +a \right)}{a^{5}}+\frac{B}{\left(b x +a \right) a^{3}}+\frac{B \ln \left(x \right)}{a^{4}}-\frac{B \ln \left(b x +a \right)}{a^{4}}-\frac{A}{a^{4} x}"," ",0,"-1/a^3/(b*x+a)^2*A*b+1/2/a^2/(b*x+a)^2*B-3/a^4/(b*x+a)*A*b+1/a^3/(b*x+a)*B+4/a^5*ln(b*x+a)*A*b-1/a^4*ln(b*x+a)*B-1/3/a^2/(b*x+a)^3*A*b+1/3/a/(b*x+a)^3*B-A/a^4/x-4/a^5*ln(x)*A*b+1/a^4*ln(x)*B","A"
641,1,168,129,0.053000," ","int((B*x+A)/x^3/(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{A \,b^{2}}{3 \left(b x +a \right)^{3} a^{3}}-\frac{B b}{3 \left(b x +a \right)^{3} a^{2}}+\frac{3 A \,b^{2}}{2 \left(b x +a \right)^{2} a^{4}}-\frac{B b}{\left(b x +a \right)^{2} a^{3}}+\frac{6 A \,b^{2}}{\left(b x +a \right) a^{5}}+\frac{10 A \,b^{2} \ln \left(x \right)}{a^{6}}-\frac{10 A \,b^{2} \ln \left(b x +a \right)}{a^{6}}-\frac{3 B b}{\left(b x +a \right) a^{4}}-\frac{4 B b \ln \left(x \right)}{a^{5}}+\frac{4 B b \ln \left(b x +a \right)}{a^{5}}+\frac{4 A b}{a^{5} x}-\frac{B}{a^{4} x}-\frac{A}{2 a^{4} x^{2}}"," ",0,"6*b^2/a^5/(b*x+a)*A-3*b/a^4/(b*x+a)*B+3/2*b^2/a^4/(b*x+a)^2*A-b/a^3/(b*x+a)^2*B-10*b^2/a^6*ln(b*x+a)*A+4*b/a^5*ln(b*x+a)*B+1/3*b^2/a^3/(b*x+a)^3*A-1/3*b/a^2/(b*x+a)^3*B-1/2*A/a^4/x^2+4/a^5/x*A*b-1/a^4/x*B+10*b^2/a^6*ln(x)*A-4*b/a^5*ln(x)*B","A"
642,1,200,158,0.067000," ","int((B*x+A)/x^4/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{A \,b^{3}}{3 \left(b x +a \right)^{3} a^{4}}+\frac{B \,b^{2}}{3 \left(b x +a \right)^{3} a^{3}}-\frac{2 A \,b^{3}}{\left(b x +a \right)^{2} a^{5}}+\frac{3 B \,b^{2}}{2 \left(b x +a \right)^{2} a^{4}}-\frac{10 A \,b^{3}}{\left(b x +a \right) a^{6}}-\frac{20 A \,b^{3} \ln \left(x \right)}{a^{7}}+\frac{20 A \,b^{3} \ln \left(b x +a \right)}{a^{7}}+\frac{6 B \,b^{2}}{\left(b x +a \right) a^{5}}+\frac{10 B \,b^{2} \ln \left(x \right)}{a^{6}}-\frac{10 B \,b^{2} \ln \left(b x +a \right)}{a^{6}}-\frac{10 A \,b^{2}}{a^{6} x}+\frac{4 B b}{a^{5} x}+\frac{2 A b}{a^{5} x^{2}}-\frac{B}{2 a^{4} x^{2}}-\frac{A}{3 a^{4} x^{3}}"," ",0,"-2*b^3/a^5/(b*x+a)^2*A+3/2*b^2/a^4/(b*x+a)^2*B-1/3*b^3/a^4/(b*x+a)^3*A+1/3*b^2/a^3/(b*x+a)^3*B+20*b^3/a^7*ln(b*x+a)*A-10*b^2/a^6*ln(b*x+a)*B-10*b^3/a^6/(b*x+a)*A+6*b^2/a^5/(b*x+a)*B-1/3*A/a^4/x^3+2/a^5/x^2*A*b-1/2/a^4/x^2*B-10*b^2/a^6/x*A+4*b/a^5/x*B-20*b^3/a^7*ln(x)*A+10*b^2/a^6*ln(x)*B","A"
643,1,213,163,0.069000," ","int(x^6*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3,x)","-\frac{A \,a^{6}}{5 \left(b x +a \right)^{5} b^{7}}+\frac{B \,a^{7}}{5 \left(b x +a \right)^{5} b^{8}}+\frac{3 A \,a^{5}}{2 \left(b x +a \right)^{4} b^{7}}-\frac{7 B \,a^{6}}{4 \left(b x +a \right)^{4} b^{8}}-\frac{5 A \,a^{4}}{\left(b x +a \right)^{3} b^{7}}+\frac{7 B \,a^{5}}{\left(b x +a \right)^{3} b^{8}}+\frac{10 A \,a^{3}}{\left(b x +a \right)^{2} b^{7}}-\frac{35 B \,a^{4}}{2 \left(b x +a \right)^{2} b^{8}}+\frac{B \,x^{2}}{2 b^{6}}-\frac{15 A \,a^{2}}{\left(b x +a \right) b^{7}}-\frac{6 A a \ln \left(b x +a \right)}{b^{7}}+\frac{A x}{b^{6}}+\frac{35 B \,a^{3}}{\left(b x +a \right) b^{8}}+\frac{21 B \,a^{2} \ln \left(b x +a \right)}{b^{8}}-\frac{6 B a x}{b^{7}}"," ",0,"1/2*B*x^2/b^6+1/b^6*A*x-6/b^7*B*a*x-5*a^4/b^7/(b*x+a)^3*A+7*a^5/b^8/(b*x+a)^3*B-1/5*a^6/b^7/(b*x+a)^5*A+1/5*a^7/b^8/(b*x+a)^5*B+10*a^3/b^7/(b*x+a)^2*A-35/2*a^4/b^8/(b*x+a)^2*B+3/2*a^5/b^7/(b*x+a)^4*A-7/4*a^6/b^8/(b*x+a)^4*B-6*a/b^7*ln(b*x+a)*A+21*a^2/b^8*ln(b*x+a)*B-15*a^2/b^7/(b*x+a)*A+35*a^3/b^8/(b*x+a)*B","A"
644,1,190,140,0.069000," ","int(x^5*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{A \,a^{5}}{5 \left(b x +a \right)^{5} b^{6}}-\frac{B \,a^{6}}{5 \left(b x +a \right)^{5} b^{7}}-\frac{5 A \,a^{4}}{4 \left(b x +a \right)^{4} b^{6}}+\frac{3 B \,a^{5}}{2 \left(b x +a \right)^{4} b^{7}}+\frac{10 A \,a^{3}}{3 \left(b x +a \right)^{3} b^{6}}-\frac{5 B \,a^{4}}{\left(b x +a \right)^{3} b^{7}}-\frac{5 A \,a^{2}}{\left(b x +a \right)^{2} b^{6}}+\frac{10 B \,a^{3}}{\left(b x +a \right)^{2} b^{7}}+\frac{5 A a}{\left(b x +a \right) b^{6}}+\frac{A \ln \left(b x +a \right)}{b^{6}}-\frac{15 B \,a^{2}}{\left(b x +a \right) b^{7}}-\frac{6 B a \ln \left(b x +a \right)}{b^{7}}+\frac{B x}{b^{6}}"," ",0,"B*x/b^6+10/3*a^3/b^6/(b*x+a)^3*A-5*a^4/b^7/(b*x+a)^3*B+1/5*a^5/b^6/(b*x+a)^5*A-1/5*a^6/b^7/(b*x+a)^5*B-5/4*a^4/b^6/(b*x+a)^4*A+3/2*a^5/b^7/(b*x+a)^4*B-5*a^2/b^6/(b*x+a)^2*A+10*a^3/b^7/(b*x+a)^2*B+1/b^6*ln(b*x+a)*A-6/b^7*ln(b*x+a)*B*a+5*a/b^6/(b*x+a)*A-15*a^2/b^7/(b*x+a)*B","A"
645,1,165,100,0.053000," ","int(x^4*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3,x)","-\frac{A \,a^{4}}{5 \left(b x +a \right)^{5} b^{5}}+\frac{B \,a^{5}}{5 \left(b x +a \right)^{5} b^{6}}+\frac{A \,a^{3}}{\left(b x +a \right)^{4} b^{5}}-\frac{5 B \,a^{4}}{4 \left(b x +a \right)^{4} b^{6}}-\frac{2 A \,a^{2}}{\left(b x +a \right)^{3} b^{5}}+\frac{10 B \,a^{3}}{3 \left(b x +a \right)^{3} b^{6}}+\frac{2 A a}{\left(b x +a \right)^{2} b^{5}}-\frac{5 B \,a^{2}}{\left(b x +a \right)^{2} b^{6}}-\frac{A}{\left(b x +a \right) b^{5}}+\frac{5 B a}{\left(b x +a \right) b^{6}}+\frac{B \ln \left(b x +a \right)}{b^{6}}"," ",0,"-2*a^2/b^5/(b*x+a)^3*A+10/3*a^3*B/b^6/(b*x+a)^3-1/5*a^4/b^5/(b*x+a)^5*A+1/5*a^5/b^6/(b*x+a)^5*B+a^3/b^5/(b*x+a)^4*A-5/4*a^4*B/b^6/(b*x+a)^4+2*a/b^5/(b*x+a)^2*A-5*a^2*B/b^6/(b*x+a)^2+B*ln(b*x+a)/b^6-1/b^5/(b*x+a)*A+5*a*B/b^6/(b*x+a)","A"
646,1,102,53,0.050000," ","int(x^3*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{\left(A b -B a \right) a^{3}}{5 \left(b x +a \right)^{5} b^{5}}-\frac{\left(3 A b -4 B a \right) a^{2}}{4 \left(b x +a \right)^{4} b^{5}}-\frac{B}{\left(b x +a \right) b^{5}}+\frac{\left(A b -2 B a \right) a}{\left(b x +a \right)^{3} b^{5}}-\frac{A b -4 B a}{2 \left(b x +a \right)^{2} b^{5}}"," ",0,"a*(A*b-2*B*a)/b^5/(b*x+a)^3+1/5*a^3*(A*b-B*a)/b^5/(b*x+a)^5-1/4*a^2*(3*A*b-4*B*a)/b^5/(b*x+a)^4-B/b^5/(b*x+a)-1/2*(A*b-4*B*a)/b^5/(b*x+a)^2","A"
647,1,80,80,0.046000," ","int(x^2*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3,x)","-\frac{\left(A b -B a \right) a^{2}}{5 \left(b x +a \right)^{5} b^{4}}-\frac{B}{2 \left(b x +a \right)^{2} b^{4}}+\frac{\left(2 A b -3 B a \right) a}{4 \left(b x +a \right)^{4} b^{4}}-\frac{A b -3 B a}{3 \left(b x +a \right)^{3} b^{4}}"," ",0,"-1/3*(A*b-3*B*a)/b^4/(b*x+a)^3-1/5*a^2*(A*b-B*a)/b^4/(b*x+a)^5-1/2*B/b^4/(b*x+a)^2+1/4*a*(2*A*b-3*B*a)/b^4/(b*x+a)^4","A"
648,1,56,56,0.047000," ","int(x*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3,x)","-\frac{B}{3 \left(b x +a \right)^{3} b^{3}}+\frac{\left(A b -B a \right) a}{5 \left(b x +a \right)^{5} b^{3}}-\frac{A b -2 B a}{4 \left(b x +a \right)^{4} b^{3}}"," ",0,"-1/3*B/b^3/(b*x+a)^3+1/5*a*(A*b-B*a)/b^3/(b*x+a)^5-1/4*(A*b-2*B*a)/b^3/(b*x+a)^4","A"
649,1,35,34,0.051000," ","int((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3,x)","-\frac{B}{4 \left(b x +a \right)^{4} b^{2}}-\frac{A b -B a}{5 \left(b x +a \right)^{5} b^{2}}"," ",0,"-1/5*(A*b-B*a)/b^2/(b*x+a)^5-1/4*B/b^2/(b*x+a)^4","A"
650,1,98,94,0.059000," ","int((B*x+A)/x/(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{A}{5 \left(b x +a \right)^{5} a}-\frac{B}{5 \left(b x +a \right)^{5} b}+\frac{A}{4 \left(b x +a \right)^{4} a^{2}}+\frac{A}{3 \left(b x +a \right)^{3} a^{3}}+\frac{A}{2 \left(b x +a \right)^{2} a^{4}}+\frac{A}{\left(b x +a \right) a^{5}}+\frac{A \ln \left(x \right)}{a^{6}}-\frac{A \ln \left(b x +a \right)}{a^{6}}"," ",0,"1/5/a/(b*x+a)^5*A-1/5/b/(b*x+a)^5*B-A*ln(b*x+a)/a^6+A/a^5/(b*x+a)+1/2*A/a^4/(b*x+a)^2+1/3*A/a^3/(b*x+a)^3+1/4*A/a^2/(b*x+a)^4+A*ln(x)/a^6","A"
651,1,186,144,0.059000," ","int((B*x+A)/x^2/(b^2*x^2+2*a*b*x+a^2)^3,x)","-\frac{A b}{5 \left(b x +a \right)^{5} a^{2}}+\frac{B}{5 \left(b x +a \right)^{5} a}-\frac{A b}{2 \left(b x +a \right)^{4} a^{3}}+\frac{B}{4 \left(b x +a \right)^{4} a^{2}}-\frac{A b}{\left(b x +a \right)^{3} a^{4}}+\frac{B}{3 \left(b x +a \right)^{3} a^{3}}-\frac{2 A b}{\left(b x +a \right)^{2} a^{5}}+\frac{B}{2 \left(b x +a \right)^{2} a^{4}}-\frac{5 A b}{\left(b x +a \right) a^{6}}-\frac{6 A b \ln \left(x \right)}{a^{7}}+\frac{6 A b \ln \left(b x +a \right)}{a^{7}}+\frac{B}{\left(b x +a \right) a^{5}}+\frac{B \ln \left(x \right)}{a^{6}}-\frac{B \ln \left(b x +a \right)}{a^{6}}-\frac{A}{a^{6} x}"," ",0,"-1/2/a^3/(b*x+a)^4*A*b+1/4/a^2/(b*x+a)^4*B-1/a^4/(b*x+a)^3*A*b+1/3/a^3/(b*x+a)^3*B-2/a^5/(b*x+a)^2*A*b+1/2/a^4/(b*x+a)^2*B-5/a^6/(b*x+a)*A*b+1/a^5/(b*x+a)*B+6/a^7*ln(b*x+a)*A*b-1/a^6*ln(b*x+a)*B-1/5/a^2/(b*x+a)^5*A*b+1/5/a/(b*x+a)^5*B-A/a^6/x-6/a^7*ln(x)*A*b+1/a^6*ln(x)*B","A"
652,1,228,171,0.080000," ","int((B*x+A)/x^3/(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{A \,b^{2}}{5 \left(b x +a \right)^{5} a^{3}}-\frac{B b}{5 \left(b x +a \right)^{5} a^{2}}+\frac{3 A \,b^{2}}{4 \left(b x +a \right)^{4} a^{4}}-\frac{B b}{2 \left(b x +a \right)^{4} a^{3}}+\frac{2 A \,b^{2}}{\left(b x +a \right)^{3} a^{5}}-\frac{B b}{\left(b x +a \right)^{3} a^{4}}+\frac{5 A \,b^{2}}{\left(b x +a \right)^{2} a^{6}}-\frac{2 B b}{\left(b x +a \right)^{2} a^{5}}+\frac{15 A \,b^{2}}{\left(b x +a \right) a^{7}}+\frac{21 A \,b^{2} \ln \left(x \right)}{a^{8}}-\frac{21 A \,b^{2} \ln \left(b x +a \right)}{a^{8}}-\frac{5 B b}{\left(b x +a \right) a^{6}}-\frac{6 B b \ln \left(x \right)}{a^{7}}+\frac{6 B b \ln \left(b x +a \right)}{a^{7}}+\frac{6 A b}{a^{7} x}-\frac{B}{a^{6} x}-\frac{A}{2 a^{6} x^{2}}"," ",0,"2*b^2/a^5/(b*x+a)^3*A-b/a^4/(b*x+a)^3*B+3/4*b^2/a^4/(b*x+a)^4*A-1/2*b/a^3/(b*x+a)^4*B+15*b^2/a^7/(b*x+a)*A-5*b/a^6/(b*x+a)*B+5*b^2/a^6/(b*x+a)^2*A-2*b/a^5/(b*x+a)^2*B-21*b^2/a^8*ln(b*x+a)*A+6*b/a^7*ln(b*x+a)*B+1/5*b^2/a^3/(b*x+a)^5*A-1/5*b/a^2/(b*x+a)^5*B-1/2*A/a^6/x^2+6/a^7/x*A*b-1/a^6/x*B+21*b^2/a^8*ln(x)*A-6*b/a^7*ln(x)*B","A"
653,1,44,75,0.055000," ","int(x^4*(B*x+A)*((b*x+a)^2)^(1/2),x)","\frac{\left(30 B b \,x^{2}+35 A b x +35 B a x +42 A a \right) \sqrt{\left(b x +a \right)^{2}}\, x^{5}}{210 b x +210 a}"," ",0,"1/210*x^5*(30*B*b*x^2+35*A*b*x+35*B*a*x+42*A*a)*((b*x+a)^2)^(1/2)/(b*x+a)","A"
654,1,44,75,0.044000," ","int(x^3*(B*x+A)*((b*x+a)^2)^(1/2),x)","\frac{\left(10 B b \,x^{2}+12 A b x +12 B a x +15 A a \right) \sqrt{\left(b x +a \right)^{2}}\, x^{4}}{60 b x +60 a}"," ",0,"1/60*x^4*(10*B*b*x^2+12*A*b*x+12*B*a*x+15*A*a)*((b*x+a)^2)^(1/2)/(b*x+a)","A"
655,1,44,75,0.047000," ","int(x^2*(B*x+A)*((b*x+a)^2)^(1/2),x)","\frac{\left(12 B b \,x^{2}+15 A b x +15 B a x +20 A a \right) \sqrt{\left(b x +a \right)^{2}}\, x^{3}}{60 b x +60 a}"," ",0,"1/60*x^3*(12*B*b*x^2+15*A*b*x+15*B*a*x+20*A*a)*((b*x+a)^2)^(1/2)/(b*x+a)","A"
656,1,44,75,0.046000," ","int(x*(B*x+A)*((b*x+a)^2)^(1/2),x)","\frac{\left(3 B b \,x^{2}+4 A b x +4 B a x +6 A a \right) \sqrt{\left(b x +a \right)^{2}}\, x^{2}}{12 b x +12 a}"," ",0,"1/12*x^2*(3*B*b*x^2+4*A*b*x+4*B*a*x+6*A*a)*((b*x+a)^2)^(1/2)/(b*x+a)","A"
657,1,42,52,0.046000," ","int((B*x+A)*((b*x+a)^2)^(1/2),x)","\frac{\left(2 B b \,x^{2}+3 A b x +3 B a x +6 A a \right) \sqrt{\left(b x +a \right)^{2}}\, x}{6 b x +6 a}"," ",0,"1/6*x*(2*B*b*x^2+3*A*b*x+3*B*a*x+6*A*a)*((b*x+a)^2)^(1/2)/(b*x+a)","A"
658,1,53,70,0.070000," ","int((B*x+A)*((b*x+a)^2)^(1/2)/x,x)","\frac{\left(B \,b^{2} x^{2}+2 A a b \ln \left(b x \right)+2 A \,b^{2} x +2 B a b x +2 A a b +B \,a^{2}\right) \mathrm{csgn}\left(b x +a \right)}{2 b}"," ",0,"1/2*csgn(b*x+a)*(B*b^2*x^2+2*A*a*b*ln(b*x)+2*A*b^2*x+2*B*a*b*x+2*A*a*b+a^2*B)/b","C"
659,1,42,70,0.062000," ","int((B*x+A)*((b*x+a)^2)^(1/2)/x^2,x)","\frac{\left(A b x \ln \left(b x \right)+B a x \ln \left(b x \right)+B b \,x^{2}+B a x -A a \right) \mathrm{csgn}\left(b x +a \right)}{x}"," ",0,"csgn(b*x+a)*(A*ln(b*x)*x*b+B*ln(b*x)*x*a+B*b*x^2+B*a*x-A*a)/x","C"
660,1,37,73,0.064000," ","int((B*x+A)*((b*x+a)^2)^(1/2)/x^3,x)","-\frac{\left(-2 B b \,x^{2} \ln \left(b x \right)+2 A b x +2 B a x +A a \right) \mathrm{csgn}\left(b x +a \right)}{2 x^{2}}"," ",0,"-1/2*csgn(b*x+a)*(-2*B*ln(b*x)*x^2*b+2*A*b*x+2*B*a*x+A*a)/x^2","C"
661,1,44,58,0.049000," ","int((B*x+A)*((b*x+a)^2)^(1/2)/x^4,x)","-\frac{\left(6 B b \,x^{2}+3 A b x +3 B a x +2 A a \right) \sqrt{\left(b x +a \right)^{2}}}{6 \left(b x +a \right) x^{3}}"," ",0,"-1/6*(6*B*b*x^2+3*A*b*x+3*B*a*x+2*A*a)*((b*x+a)^2)^(1/2)/x^3/(b*x+a)","A"
662,1,44,75,0.055000," ","int((B*x+A)*((b*x+a)^2)^(1/2)/x^5,x)","-\frac{\left(6 B b \,x^{2}+4 A b x +4 B a x +3 A a \right) \sqrt{\left(b x +a \right)^{2}}}{12 \left(b x +a \right) x^{4}}"," ",0,"-1/12*(6*B*b*x^2+4*A*b*x+4*B*a*x+3*A*a)*((b*x+a)^2)^(1/2)/x^4/(b*x+a)","A"
663,1,44,75,0.053000," ","int((B*x+A)*((b*x+a)^2)^(1/2)/x^6,x)","-\frac{\left(20 B b \,x^{2}+15 A b x +15 B a x +12 A a \right) \sqrt{\left(b x +a \right)^{2}}}{60 \left(b x +a \right) x^{5}}"," ",0,"-1/60*(20*B*b*x^2+15*A*b*x+15*B*a*x+12*A*a)*((b*x+a)^2)^(1/2)/x^5/(b*x+a)","A"
664,1,44,75,0.046000," ","int((B*x+A)*((b*x+a)^2)^(1/2)/x^7,x)","-\frac{\left(15 B b \,x^{2}+12 A b x +12 B a x +10 A a \right) \sqrt{\left(b x +a \right)^{2}}}{60 \left(b x +a \right) x^{6}}"," ",0,"-1/60*(15*B*b*x^2+12*A*b*x+12*B*a*x+10*A*a)*((b*x+a)^2)^(1/2)/x^6/(b*x+a)","A"
665,1,92,145,0.058000," ","int(x^5*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(252 b^{3} B \,x^{4}+280 A \,b^{3} x^{3}+840 x^{3} B a \,b^{2}+945 x^{2} A a \,b^{2}+945 B \,a^{2} b \,x^{2}+1080 x A \,a^{2} b +360 B \,a^{3} x +420 A \,a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} x^{6}}{2520 \left(b x +a \right)^{3}}"," ",0,"1/2520*x^6*(252*B*b^3*x^4+280*A*b^3*x^3+840*B*a*b^2*x^3+945*A*a*b^2*x^2+945*B*a^2*b*x^2+1080*A*a^2*b*x+360*B*a^3*x+420*A*a^3)*((b*x+a)^2)^(3/2)/(b*x+a)^3","A"
666,1,92,145,0.052000," ","int(x^4*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(280 b^{3} B \,x^{4}+315 A \,b^{3} x^{3}+945 x^{3} B a \,b^{2}+1080 x^{2} A a \,b^{2}+1080 B \,a^{2} b \,x^{2}+1260 x A \,a^{2} b +420 B \,a^{3} x +504 A \,a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} x^{5}}{2520 \left(b x +a \right)^{3}}"," ",0,"1/2520*x^5*(280*B*b^3*x^4+315*A*b^3*x^3+945*B*a*b^2*x^3+1080*A*a*b^2*x^2+1080*B*a^2*b*x^2+1260*A*a^2*b*x+420*B*a^3*x+504*A*a^3)*((b*x+a)^2)^(3/2)/(b*x+a)^3","A"
667,1,92,145,0.047000," ","int(x^3*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(35 b^{3} B \,x^{4}+40 A \,b^{3} x^{3}+120 x^{3} B a \,b^{2}+140 x^{2} A a \,b^{2}+140 B \,a^{2} b \,x^{2}+168 x A \,a^{2} b +56 B \,a^{3} x +70 A \,a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} x^{4}}{280 \left(b x +a \right)^{3}}"," ",0,"1/280*x^4*(35*B*b^3*x^4+40*A*b^3*x^3+120*B*a*b^2*x^3+140*A*a*b^2*x^2+140*B*a^2*b*x^2+168*A*a^2*b*x+56*B*a^3*x+70*A*a^3)*((b*x+a)^2)^(3/2)/(b*x+a)^3","A"
668,1,92,145,0.051000," ","int(x^2*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(60 b^{3} B \,x^{4}+70 A \,b^{3} x^{3}+210 x^{3} B a \,b^{2}+252 x^{2} A a \,b^{2}+252 B \,a^{2} b \,x^{2}+315 x A \,a^{2} b +105 B \,a^{3} x +140 A \,a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} x^{3}}{420 \left(b x +a \right)^{3}}"," ",0,"1/420*x^3*(60*B*b^3*x^4+70*A*b^3*x^3+210*B*a*b^2*x^3+252*A*a*b^2*x^2+252*B*a^2*b*x^2+315*A*a^2*b*x+105*B*a^3*x+140*A*a^3)*((b*x+a)^2)^(3/2)/(b*x+a)^3","A"
669,1,92,82,0.054000," ","int(x*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(10 b^{3} B \,x^{4}+12 A \,b^{3} x^{3}+36 x^{3} B a \,b^{2}+45 x^{2} A a \,b^{2}+45 B \,a^{2} b \,x^{2}+60 x A \,a^{2} b +20 B \,a^{3} x +30 A \,a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} x^{2}}{60 \left(b x +a \right)^{3}}"," ",0,"1/60*x^2*(10*B*b^3*x^4+12*A*b^3*x^3+36*B*a*b^2*x^3+45*A*a*b^2*x^2+45*B*a^2*b*x^2+60*A*a^2*b*x+20*B*a^3*x+30*A*a^3)*((b*x+a)^2)^(3/2)/(b*x+a)^3","A"
670,1,90,61,0.051000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(4 b^{3} B \,x^{4}+5 A \,b^{3} x^{3}+15 x^{3} B a \,b^{2}+20 x^{2} A a \,b^{2}+20 B \,a^{2} b \,x^{2}+30 x A \,a^{2} b +10 B \,a^{3} x +20 A \,a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} x}{20 \left(b x +a \right)^{3}}"," ",0,"1/20*x*(4*B*b^3*x^4+5*A*b^3*x^3+15*B*a*b^2*x^3+20*A*a*b^2*x^2+20*B*a^2*b*x^2+30*A*a^2*b*x+10*B*a^3*x+20*A*a^3)*((b*x+a)^2)^(3/2)/(b*x+a)^3","A"
671,1,91,121,0.059000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} \left(3 B \,b^{3} x^{4}+4 A \,b^{3} x^{3}+12 B a \,b^{2} x^{3}+18 A a \,b^{2} x^{2}+18 B \,a^{2} b \,x^{2}+12 A \,a^{3} \ln \left(x \right)+36 A \,a^{2} b x +12 B \,a^{3} x \right)}{12 \left(b x +a \right)^{3}}"," ",0,"1/12*((b*x+a)^2)^(3/2)*(3*b^3*B*x^4+4*A*b^3*x^3+12*x^3*B*a*b^2+18*x^2*A*a*b^2+18*B*a^2*b*x^2+12*A*a^3*ln(x)+36*x*A*a^2*b+12*B*a^3*x)/(b*x+a)^3","A"
672,1,96,141,0.058000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^2,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} \left(2 B \,b^{3} x^{4}+3 A \,b^{3} x^{3}+9 B a \,b^{2} x^{3}+18 A \,a^{2} b x \ln \left(x \right)+18 A a \,b^{2} x^{2}+6 B \,a^{3} x \ln \left(x \right)+18 B \,a^{2} b \,x^{2}-6 A \,a^{3}\right)}{6 \left(b x +a \right)^{3} x}"," ",0,"1/6*((b*x+a)^2)^(3/2)*(2*B*b^3*x^4+3*A*b^3*x^3+9*B*a*b^2*x^3+18*A*ln(x)*x*a^2*b+18*A*a*b^2*x^2+6*B*ln(x)*x*a^3+18*B*a^2*b*x^2-6*A*a^3)/(b*x+a)^3/x","A"
673,1,95,141,0.063000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^3,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} \left(B \,b^{3} x^{4}+6 A a \,b^{2} x^{2} \ln \left(x \right)+2 A \,b^{3} x^{3}+6 B \,a^{2} b \,x^{2} \ln \left(x \right)+6 B a \,b^{2} x^{3}-6 A \,a^{2} b x -2 B \,a^{3} x -A \,a^{3}\right)}{2 \left(b x +a \right)^{3} x^{2}}"," ",0,"1/2*((b*x+a)^2)^(3/2)*(B*b^3*x^4+6*A*ln(x)*x^2*a*b^2+2*A*b^3*x^3+6*B*ln(x)*x^2*a^2*b+6*B*a*b^2*x^3-6*A*a^2*b*x-2*B*a^3*x-A*a^3)/(b*x+a)^3/x^2","A"
674,1,96,140,0.063000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^4,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} \left(6 A \,b^{3} x^{3} \ln \left(x \right)+18 B a \,b^{2} x^{3} \ln \left(x \right)+6 B \,b^{3} x^{4}-18 A a \,b^{2} x^{2}-18 B \,a^{2} b \,x^{2}-9 A \,a^{2} b x -3 B \,a^{3} x -2 A \,a^{3}\right)}{6 \left(b x +a \right)^{3} x^{3}}"," ",0,"1/6*((b*x+a)^2)^(3/2)*(6*A*ln(x)*x^3*b^3+18*B*ln(x)*x^3*a*b^2+6*B*b^3*x^4-18*A*a*b^2*x^2-18*B*a^2*b*x^2-9*A*a^2*b*x-3*B*a^3*x-2*A*a^3)/(b*x+a)^3/x^3","A"
675,1,94,126,0.064000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^5,x)","-\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} \left(-12 B \,b^{3} x^{4} \ln \left(x \right)+12 A \,b^{3} x^{3}+36 B a \,b^{2} x^{3}+18 A a \,b^{2} x^{2}+18 B \,a^{2} b \,x^{2}+12 A \,a^{2} b x +4 B \,a^{3} x +3 A \,a^{3}\right)}{12 \left(b x +a \right)^{3} x^{4}}"," ",0,"-1/12*((b*x+a)^2)^(3/2)*(-12*b^3*B*ln(x)*x^4+12*A*b^3*x^3+36*B*a*b^2*x^3+18*A*a*b^2*x^2+18*B*a^2*b*x^2+12*A*a^2*b*x+4*B*a^3*x+3*A*a^3)/(b*x+a)^3/x^4","A"
676,1,92,60,0.049000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^6,x)","-\frac{\left(20 B \,b^{3} x^{4}+10 A \,b^{3} x^{3}+30 B a \,b^{2} x^{3}+20 A a \,b^{2} x^{2}+20 B \,a^{2} b \,x^{2}+15 A \,a^{2} b x +5 B \,a^{3} x +4 A \,a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{20 \left(b x +a \right)^{3} x^{5}}"," ",0,"-1/20*(20*B*b^3*x^4+10*A*b^3*x^3+30*B*a*b^2*x^3+20*A*a*b^2*x^2+20*B*a^2*b*x^2+15*A*a^2*b*x+5*B*a^3*x+4*A*a^3)*((b*x+a)^2)^(3/2)/x^5/(b*x+a)^3","A"
677,1,92,145,0.047000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^7,x)","-\frac{\left(30 B \,b^{3} x^{4}+20 A \,b^{3} x^{3}+60 B a \,b^{2} x^{3}+45 A a \,b^{2} x^{2}+45 B \,a^{2} b \,x^{2}+36 A \,a^{2} b x +12 B \,a^{3} x +10 A \,a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{60 \left(b x +a \right)^{3} x^{6}}"," ",0,"-1/60*(30*B*b^3*x^4+20*A*b^3*x^3+60*B*a*b^2*x^3+45*A*a*b^2*x^2+45*B*a^2*b*x^2+36*A*a^2*b*x+12*B*a^3*x+10*A*a^3)*((b*x+a)^2)^(3/2)/x^6/(b*x+a)^3","A"
678,1,92,145,0.048000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^8,x)","-\frac{\left(140 B \,b^{3} x^{4}+105 A \,b^{3} x^{3}+315 B a \,b^{2} x^{3}+252 A a \,b^{2} x^{2}+252 B \,a^{2} b \,x^{2}+210 A \,a^{2} b x +70 B \,a^{3} x +60 A \,a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{420 \left(b x +a \right)^{3} x^{7}}"," ",0,"-1/420*(140*B*b^3*x^4+105*A*b^3*x^3+315*B*a*b^2*x^3+252*A*a*b^2*x^2+252*B*a^2*b*x^2+210*A*a^2*b*x+70*B*a^3*x+60*A*a^3)*((b*x+a)^2)^(3/2)/x^7/(b*x+a)^3","A"
679,1,92,145,0.050000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^9,x)","-\frac{\left(70 B \,b^{3} x^{4}+56 A \,b^{3} x^{3}+168 B a \,b^{2} x^{3}+140 A a \,b^{2} x^{2}+140 B \,a^{2} b \,x^{2}+120 A \,a^{2} b x +40 B \,a^{3} x +35 A \,a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{280 \left(b x +a \right)^{3} x^{8}}"," ",0,"-1/280*(70*B*b^3*x^4+56*A*b^3*x^3+168*B*a*b^2*x^3+140*A*a*b^2*x^2+140*B*a^2*b*x^2+120*A*a^2*b*x+40*B*a^3*x+35*A*a^3)*((b*x+a)^2)^(3/2)/x^8/(b*x+a)^3","A"
680,1,92,145,0.051000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^10,x)","-\frac{\left(504 B \,b^{3} x^{4}+420 A \,b^{3} x^{3}+1260 B a \,b^{2} x^{3}+1080 A a \,b^{2} x^{2}+1080 B \,a^{2} b \,x^{2}+945 A \,a^{2} b x +315 B \,a^{3} x +280 A \,a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{2520 \left(b x +a \right)^{3} x^{9}}"," ",0,"-1/2520*(504*B*b^3*x^4+420*A*b^3*x^3+1260*B*a*b^2*x^3+1080*A*a*b^2*x^2+1080*B*a^2*b*x^2+945*A*a^2*b*x+315*B*a^3*x+280*A*a^3)*((b*x+a)^2)^(3/2)/x^9/(b*x+a)^3","A"
681,1,92,145,0.046000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^11,x)","-\frac{\left(420 B \,b^{3} x^{4}+360 A \,b^{3} x^{3}+1080 B a \,b^{2} x^{3}+945 A a \,b^{2} x^{2}+945 B \,a^{2} b \,x^{2}+840 A \,a^{2} b x +280 B \,a^{3} x +252 A \,a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{2520 \left(b x +a \right)^{3} x^{10}}"," ",0,"-1/2520*(420*B*b^3*x^4+360*A*b^3*x^3+1080*B*a*b^2*x^3+945*A*a*b^2*x^2+945*B*a^2*b*x^2+840*A*a^2*b*x+280*B*a^3*x+252*A*a^3)*((b*x+a)^2)^(3/2)/x^10/(b*x+a)^3","A"
682,1,92,145,0.058000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^12,x)","-\frac{\left(1320 B \,b^{3} x^{4}+1155 A \,b^{3} x^{3}+3465 B a \,b^{2} x^{3}+3080 A a \,b^{2} x^{2}+3080 B \,a^{2} b \,x^{2}+2772 A \,a^{2} b x +924 B \,a^{3} x +840 A \,a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{9240 \left(b x +a \right)^{3} x^{11}}"," ",0,"-1/9240*(1320*B*b^3*x^4+1155*A*b^3*x^3+3465*B*a*b^2*x^3+3080*A*a*b^2*x^2+3080*B*a^2*b*x^2+2772*A*a^2*b*x+924*B*a^3*x+840*A*a^3)*((b*x+a)^2)^(3/2)/x^11/(b*x+a)^3","A"
683,1,140,214,0.056000," ","int(x^6*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(5544 B \,b^{5} x^{6}+6006 x^{5} A \,b^{5}+30030 x^{5} B a \,b^{4}+32760 x^{4} A a \,b^{4}+65520 x^{4} B \,a^{2} b^{3}+72072 A \,a^{2} b^{3} x^{3}+72072 B \,a^{3} b^{2} x^{3}+80080 x^{2} A \,a^{3} b^{2}+40040 x^{2} B \,a^{4} b +45045 x A \,a^{4} b +9009 x B \,a^{5}+10296 A \,a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x^{7}}{72072 \left(b x +a \right)^{5}}"," ",0,"1/72072*x^7*(5544*B*b^5*x^6+6006*A*b^5*x^5+30030*B*a*b^4*x^5+32760*A*a*b^4*x^4+65520*B*a^2*b^3*x^4+72072*A*a^2*b^3*x^3+72072*B*a^3*b^2*x^3+80080*A*a^3*b^2*x^2+40040*B*a^4*b*x^2+45045*A*a^4*b*x+9009*B*a^5*x+10296*A*a^5)*((b*x+a)^2)^(5/2)/(b*x+a)^5","A"
684,1,140,215,0.073000," ","int(x^5*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(462 B \,b^{5} x^{6}+504 x^{5} A \,b^{5}+2520 x^{5} B a \,b^{4}+2772 x^{4} A a \,b^{4}+5544 x^{4} B \,a^{2} b^{3}+6160 A \,a^{2} b^{3} x^{3}+6160 B \,a^{3} b^{2} x^{3}+6930 x^{2} A \,a^{3} b^{2}+3465 x^{2} B \,a^{4} b +3960 x A \,a^{4} b +792 x B \,a^{5}+924 A \,a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x^{6}}{5544 \left(b x +a \right)^{5}}"," ",0,"1/5544*x^6*(462*B*b^5*x^6+504*A*b^5*x^5+2520*B*a*b^4*x^5+2772*A*a*b^4*x^4+5544*B*a^2*b^3*x^4+6160*A*a^2*b^3*x^3+6160*B*a^3*b^2*x^3+6930*A*a^3*b^2*x^2+3465*B*a^4*b*x^2+3960*A*a^4*b*x+792*B*a^5*x+924*A*a^5)*((b*x+a)^2)^(5/2)/(b*x+a)^5","A"
685,1,140,215,0.055000," ","int(x^4*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(1260 B \,b^{5} x^{6}+1386 x^{5} A \,b^{5}+6930 x^{5} B a \,b^{4}+7700 x^{4} A a \,b^{4}+15400 x^{4} B \,a^{2} b^{3}+17325 A \,a^{2} b^{3} x^{3}+17325 B \,a^{3} b^{2} x^{3}+19800 x^{2} A \,a^{3} b^{2}+9900 x^{2} B \,a^{4} b +11550 x A \,a^{4} b +2310 x B \,a^{5}+2772 A \,a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x^{5}}{13860 \left(b x +a \right)^{5}}"," ",0,"1/13860*x^5*(1260*B*b^5*x^6+1386*A*b^5*x^5+6930*B*a*b^4*x^5+7700*A*a*b^4*x^4+15400*B*a^2*b^3*x^4+17325*A*a^2*b^3*x^3+17325*B*a^3*b^2*x^3+19800*A*a^3*b^2*x^2+9900*B*a^4*b*x^2+11550*A*a^4*b*x+2310*B*a^5*x+2772*A*a^5)*((b*x+a)^2)^(5/2)/(b*x+a)^5","A"
686,1,140,147,0.048000," ","int(x^3*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(252 B \,b^{5} x^{6}+280 x^{5} A \,b^{5}+1400 x^{5} B a \,b^{4}+1575 x^{4} A a \,b^{4}+3150 x^{4} B \,a^{2} b^{3}+3600 A \,a^{2} b^{3} x^{3}+3600 B \,a^{3} b^{2} x^{3}+4200 x^{2} A \,a^{3} b^{2}+2100 x^{2} B \,a^{4} b +2520 x A \,a^{4} b +504 x B \,a^{5}+630 A \,a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x^{4}}{2520 \left(b x +a \right)^{5}}"," ",0,"1/2520*x^4*(252*B*b^5*x^6+280*A*b^5*x^5+1400*B*a*b^4*x^5+1575*A*a*b^4*x^4+3150*B*a^2*b^3*x^4+3600*A*a^2*b^3*x^3+3600*B*a^3*b^2*x^3+4200*A*a^3*b^2*x^2+2100*B*a^4*b*x^2+2520*A*a^4*b*x+504*B*a^5*x+630*A*a^5)*((b*x+a)^2)^(5/2)/(b*x+a)^5","A"
687,1,140,115,0.051000," ","int(x^2*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(56 B \,b^{5} x^{6}+63 x^{5} A \,b^{5}+315 x^{5} B a \,b^{4}+360 x^{4} A a \,b^{4}+720 x^{4} B \,a^{2} b^{3}+840 A \,a^{2} b^{3} x^{3}+840 B \,a^{3} b^{2} x^{3}+1008 x^{2} A \,a^{3} b^{2}+504 x^{2} B \,a^{4} b +630 x A \,a^{4} b +126 x B \,a^{5}+168 A \,a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x^{3}}{504 \left(b x +a \right)^{5}}"," ",0,"1/504*x^3*(56*B*b^5*x^6+63*A*b^5*x^5+315*B*a*b^4*x^5+360*A*a*b^4*x^4+720*B*a^2*b^3*x^4+840*A*a^2*b^3*x^3+840*B*a^3*b^2*x^3+1008*A*a^3*b^2*x^2+504*B*a^4*b*x^2+630*A*a^4*b*x+126*B*a^5*x+168*A*a^5)*((b*x+a)^2)^(5/2)/(b*x+a)^5","A"
688,1,140,82,0.051000," ","int(x*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(21 B \,b^{5} x^{6}+24 x^{5} A \,b^{5}+120 x^{5} B a \,b^{4}+140 x^{4} A a \,b^{4}+280 x^{4} B \,a^{2} b^{3}+336 A \,a^{2} b^{3} x^{3}+336 B \,a^{3} b^{2} x^{3}+420 x^{2} A \,a^{3} b^{2}+210 x^{2} B \,a^{4} b +280 x A \,a^{4} b +56 x B \,a^{5}+84 A \,a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x^{2}}{168 \left(b x +a \right)^{5}}"," ",0,"1/168*x^2*(21*B*b^5*x^6+24*A*b^5*x^5+120*B*a*b^4*x^5+140*A*a*b^4*x^4+280*B*a^2*b^3*x^4+336*A*a^2*b^3*x^3+336*B*a^3*b^2*x^3+420*A*a^3*b^2*x^2+210*B*a^4*b*x^2+280*A*a^4*b*x+56*B*a^5*x+84*A*a^5)*((b*x+a)^2)^(5/2)/(b*x+a)^5","A"
689,1,138,61,0.049000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(6 B \,b^{5} x^{6}+7 x^{5} A \,b^{5}+35 x^{5} B a \,b^{4}+42 x^{4} A a \,b^{4}+84 x^{4} B \,a^{2} b^{3}+105 A \,a^{2} b^{3} x^{3}+105 B \,a^{3} b^{2} x^{3}+140 x^{2} A \,a^{3} b^{2}+70 x^{2} B \,a^{4} b +105 x A \,a^{4} b +21 x B \,a^{5}+42 A \,a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x}{42 \left(b x +a \right)^{5}}"," ",0,"1/42*x*(6*B*b^5*x^6+7*A*b^5*x^5+35*B*a*b^4*x^5+42*A*a*b^4*x^4+84*B*a^2*b^3*x^4+105*A*a^2*b^3*x^3+105*B*a^3*b^2*x^3+140*A*a^3*b^2*x^2+70*B*a^4*b*x^2+105*A*a^4*b*x+21*B*a^5*x+42*A*a^5)*((b*x+a)^2)^(5/2)/(b*x+a)^5","B"
690,1,139,177,0.060000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} \left(10 B \,b^{5} x^{6}+12 A \,b^{5} x^{5}+60 B a \,b^{4} x^{5}+75 A a \,b^{4} x^{4}+150 B \,a^{2} b^{3} x^{4}+200 A \,a^{2} b^{3} x^{3}+200 B \,a^{3} b^{2} x^{3}+300 A \,a^{3} b^{2} x^{2}+150 B \,a^{4} b \,x^{2}+60 A \,a^{5} \ln \left(x \right)+300 A \,a^{4} b x +60 B \,a^{5} x \right)}{60 \left(b x +a \right)^{5}}"," ",0,"1/60*((b*x+a)^2)^(5/2)*(10*B*b^5*x^6+12*x^5*A*b^5+60*x^5*B*a*b^4+75*x^4*A*a*b^4+150*x^4*B*a^2*b^3+200*A*a^2*b^3*x^3+200*B*a^3*b^2*x^3+300*x^2*A*a^3*b^2+150*x^2*B*a^4*b+60*A*a^5*ln(x)+300*x*A*a^4*b+60*x*B*a^5)/(b*x+a)^5","A"
691,1,144,211,0.062000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^2,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} \left(12 B \,b^{5} x^{6}+15 A \,b^{5} x^{5}+75 B a \,b^{4} x^{5}+100 A a \,b^{4} x^{4}+200 B \,a^{2} b^{3} x^{4}+300 A \,a^{2} b^{3} x^{3}+300 B \,a^{3} b^{2} x^{3}+300 A \,a^{4} b x \ln \left(x \right)+600 A \,a^{3} b^{2} x^{2}+60 B \,a^{5} x \ln \left(x \right)+300 B \,a^{4} b \,x^{2}-60 A \,a^{5}\right)}{60 \left(b x +a \right)^{5} x}"," ",0,"1/60*((b*x+a)^2)^(5/2)*(12*B*b^5*x^6+15*A*b^5*x^5+75*B*a*b^4*x^5+100*A*a*b^4*x^4+200*B*a^2*b^3*x^4+300*A*a^2*b^3*x^3+300*B*a^3*b^2*x^3+300*A*ln(x)*x*a^4*b+600*A*a^3*b^2*x^2+60*B*ln(x)*x*a^5+300*B*a^4*b*x^2-60*A*a^5)/(b*x+a)^5/x","A"
692,1,144,212,0.066000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^3,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} \left(3 B \,b^{5} x^{6}+4 A \,b^{5} x^{5}+20 B a \,b^{4} x^{5}+30 A a \,b^{4} x^{4}+60 B \,a^{2} b^{3} x^{4}+120 A \,a^{3} b^{2} x^{2} \ln \left(x \right)+120 A \,a^{2} b^{3} x^{3}+60 B \,a^{4} b \,x^{2} \ln \left(x \right)+120 B \,a^{3} b^{2} x^{3}-60 A \,a^{4} b x -12 B \,a^{5} x -6 A \,a^{5}\right)}{12 \left(b x +a \right)^{5} x^{2}}"," ",0,"1/12*((b*x+a)^2)^(5/2)*(3*B*b^5*x^6+4*A*b^5*x^5+20*B*a*b^4*x^5+30*A*a*b^4*x^4+60*B*a^2*b^3*x^4+120*A*ln(x)*x^2*a^3*b^2+120*A*a^2*b^3*x^3+60*B*ln(x)*x^2*a^4*b+120*B*a^3*b^2*x^3-60*A*a^4*b*x-12*B*a^5*x-6*A*a^5)/(b*x+a)^5/x^2","A"
693,1,144,212,0.065000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^4,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} \left(2 B \,b^{5} x^{6}+3 A \,b^{5} x^{5}+15 B a \,b^{4} x^{5}+60 A \,a^{2} b^{3} x^{3} \ln \left(x \right)+30 A a \,b^{4} x^{4}+60 B \,a^{3} b^{2} x^{3} \ln \left(x \right)+60 B \,a^{2} b^{3} x^{4}-60 A \,a^{3} b^{2} x^{2}-30 B \,a^{4} b \,x^{2}-15 A \,a^{4} b x -3 B \,a^{5} x -2 A \,a^{5}\right)}{6 \left(b x +a \right)^{5} x^{3}}"," ",0,"1/6*((b*x+a)^2)^(5/2)*(2*B*b^5*x^6+3*A*b^5*x^5+15*B*a*b^4*x^5+60*A*ln(x)*x^3*a^2*b^3+30*A*a*b^4*x^4+60*B*ln(x)*x^3*a^3*b^2+60*B*a^2*b^3*x^4-60*A*a^3*b^2*x^2-30*B*a^4*b*x^2-15*A*a^4*b*x-3*B*a^5*x-2*A*a^5)/(b*x+a)^5/x^3","A"
694,1,144,211,0.365000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^5,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} \left(6 B \,b^{5} x^{6}+60 A a \,b^{4} x^{4} \ln \left(x \right)+12 A \,b^{5} x^{5}+120 B \,a^{2} b^{3} x^{4} \ln \left(x \right)+60 B a \,b^{4} x^{5}-120 A \,a^{2} b^{3} x^{3}-120 B \,a^{3} b^{2} x^{3}-60 A \,a^{3} b^{2} x^{2}-30 B \,a^{4} b \,x^{2}-20 A \,a^{4} b x -4 B \,a^{5} x -3 A \,a^{5}\right)}{12 \left(b x +a \right)^{5} x^{4}}"," ",0,"1/12*((b*x+a)^2)^(5/2)*(6*B*b^5*x^6+60*A*ln(x)*x^4*a*b^4+12*A*b^5*x^5+120*B*ln(x)*x^4*a^2*b^3+60*B*a*b^4*x^5-120*A*a^2*b^3*x^3-120*B*a^3*b^2*x^3-60*A*a^3*b^2*x^2-30*B*a^4*b*x^2-20*A*a^4*b*x-4*B*a^5*x-3*A*a^5)/(b*x+a)^5/x^4","A"
695,1,144,210,0.069000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^6,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} \left(60 A \,b^{5} x^{5} \ln \left(x \right)+300 B a \,b^{4} x^{5} \ln \left(x \right)+60 B \,b^{5} x^{6}-300 A a \,b^{4} x^{4}-600 B \,a^{2} b^{3} x^{4}-300 A \,a^{2} b^{3} x^{3}-300 B \,a^{3} b^{2} x^{3}-200 A \,a^{3} b^{2} x^{2}-100 B \,a^{4} b \,x^{2}-75 A \,a^{4} b x -15 B \,a^{5} x -12 A \,a^{5}\right)}{60 \left(b x +a \right)^{5} x^{5}}"," ",0,"1/60*((b*x+a)^2)^(5/2)*(60*A*ln(x)*x^5*b^5+300*B*ln(x)*x^5*a*b^4+60*B*b^5*x^6-300*A*a*b^4*x^4-600*B*a^2*b^3*x^4-300*A*a^2*b^3*x^3-300*B*a^3*b^2*x^3-200*A*a^3*b^2*x^2-100*B*a^4*b*x^2-75*A*a^4*b*x-15*B*a^5*x-12*A*a^5)/(b*x+a)^5/x^5","A"
696,1,142,182,0.064000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^7,x)","-\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} \left(-60 B \,b^{5} x^{6} \ln \left(x \right)+60 A \,b^{5} x^{5}+300 B a \,b^{4} x^{5}+150 A a \,b^{4} x^{4}+300 B \,a^{2} b^{3} x^{4}+200 A \,a^{2} b^{3} x^{3}+200 B \,a^{3} b^{2} x^{3}+150 A \,a^{3} b^{2} x^{2}+75 B \,a^{4} b \,x^{2}+60 A \,a^{4} b x +12 B \,a^{5} x +10 A \,a^{5}\right)}{60 \left(b x +a \right)^{5} x^{6}}"," ",0,"-1/60*((b*x+a)^2)^(5/2)*(-60*B*b^5*ln(x)*x^6+60*A*b^5*x^5+300*B*a*b^4*x^5+150*A*a*b^4*x^4+300*B*a^2*b^3*x^4+200*A*a^2*b^3*x^3+200*B*a^3*b^2*x^3+150*A*a^3*b^2*x^2+75*B*a^4*b*x^2+60*A*a^4*b*x+12*B*a^5*x+10*A*a^5)/(b*x+a)^5/x^6","A"
697,1,140,60,0.082000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^8,x)","-\frac{\left(42 B \,b^{5} x^{6}+21 A \,b^{5} x^{5}+105 B a \,b^{4} x^{5}+70 A a \,b^{4} x^{4}+140 B \,a^{2} b^{3} x^{4}+105 A \,a^{2} b^{3} x^{3}+105 B \,a^{3} b^{2} x^{3}+84 A \,a^{3} b^{2} x^{2}+42 B \,a^{4} b \,x^{2}+35 A \,a^{4} b x +7 B \,a^{5} x +6 A \,a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{42 \left(b x +a \right)^{5} x^{7}}"," ",0,"-1/42*(42*B*b^5*x^6+21*A*b^5*x^5+105*B*a*b^4*x^5+70*A*a*b^4*x^4+140*B*a^2*b^3*x^4+105*A*a^2*b^3*x^3+105*B*a^3*b^2*x^3+84*A*a^3*b^2*x^2+42*B*a^4*b*x^2+35*A*a^4*b*x+7*B*a^5*x+6*A*a^5)*((b*x+a)^2)^(5/2)/x^7/(b*x+a)^5","B"
698,1,140,91,0.052000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^9,x)","-\frac{\left(84 B \,b^{5} x^{6}+56 A \,b^{5} x^{5}+280 B a \,b^{4} x^{5}+210 A a \,b^{4} x^{4}+420 B \,a^{2} b^{3} x^{4}+336 A \,a^{2} b^{3} x^{3}+336 B \,a^{3} b^{2} x^{3}+280 A \,a^{3} b^{2} x^{2}+140 B \,a^{4} b \,x^{2}+120 A \,a^{4} b x +24 B \,a^{5} x +21 A \,a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{168 \left(b x +a \right)^{5} x^{8}}"," ",0,"-1/168*(84*B*b^5*x^6+56*A*b^5*x^5+280*B*a*b^4*x^5+210*A*a*b^4*x^4+420*B*a^2*b^3*x^4+336*A*a^2*b^3*x^3+336*B*a^3*b^2*x^3+280*A*a^3*b^2*x^2+140*B*a^4*b*x^2+120*A*a^4*b*x+24*B*a^5*x+21*A*a^5)*((b*x+a)^2)^(5/2)/x^8/(b*x+a)^5","A"
699,1,140,215,0.053000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^10,x)","-\frac{\left(168 B \,b^{5} x^{6}+126 A \,b^{5} x^{5}+630 B a \,b^{4} x^{5}+504 A a \,b^{4} x^{4}+1008 B \,a^{2} b^{3} x^{4}+840 A \,a^{2} b^{3} x^{3}+840 B \,a^{3} b^{2} x^{3}+720 A \,a^{3} b^{2} x^{2}+360 B \,a^{4} b \,x^{2}+315 A \,a^{4} b x +63 B \,a^{5} x +56 A \,a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{504 \left(b x +a \right)^{5} x^{9}}"," ",0,"-1/504*(168*B*b^5*x^6+126*A*b^5*x^5+630*B*a*b^4*x^5+504*A*a*b^4*x^4+1008*B*a^2*b^3*x^4+840*A*a^2*b^3*x^3+840*B*a^3*b^2*x^3+720*A*a^3*b^2*x^2+360*B*a^4*b*x^2+315*A*a^4*b*x+63*B*a^5*x+56*A*a^5)*((b*x+a)^2)^(5/2)/x^9/(b*x+a)^5","A"
700,1,140,215,0.050000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^11,x)","-\frac{\left(630 B \,b^{5} x^{6}+504 A \,b^{5} x^{5}+2520 B a \,b^{4} x^{5}+2100 A a \,b^{4} x^{4}+4200 B \,a^{2} b^{3} x^{4}+3600 A \,a^{2} b^{3} x^{3}+3600 B \,a^{3} b^{2} x^{3}+3150 A \,a^{3} b^{2} x^{2}+1575 B \,a^{4} b \,x^{2}+1400 A \,a^{4} b x +280 B \,a^{5} x +252 A \,a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{2520 \left(b x +a \right)^{5} x^{10}}"," ",0,"-1/2520*(630*B*b^5*x^6+504*A*b^5*x^5+2520*B*a*b^4*x^5+2100*A*a*b^4*x^4+4200*B*a^2*b^3*x^4+3600*A*a^2*b^3*x^3+3600*B*a^3*b^2*x^3+3150*A*a^3*b^2*x^2+1575*B*a^4*b*x^2+1400*A*a^4*b*x+280*B*a^5*x+252*A*a^5)*((b*x+a)^2)^(5/2)/x^10/(b*x+a)^5","A"
701,1,140,215,0.056000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^12,x)","-\frac{\left(2772 B \,b^{5} x^{6}+2310 A \,b^{5} x^{5}+11550 B a \,b^{4} x^{5}+9900 A a \,b^{4} x^{4}+19800 B \,a^{2} b^{3} x^{4}+17325 A \,a^{2} b^{3} x^{3}+17325 B \,a^{3} b^{2} x^{3}+15400 A \,a^{3} b^{2} x^{2}+7700 B \,a^{4} b \,x^{2}+6930 A \,a^{4} b x +1386 B \,a^{5} x +1260 A \,a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{13860 \left(b x +a \right)^{5} x^{11}}"," ",0,"-1/13860*(2772*B*b^5*x^6+2310*A*b^5*x^5+11550*B*a*b^4*x^5+9900*A*a*b^4*x^4+19800*B*a^2*b^3*x^4+17325*A*a^2*b^3*x^3+17325*B*a^3*b^2*x^3+15400*A*a^3*b^2*x^2+7700*B*a^4*b*x^2+6930*A*a^4*b*x+1386*B*a^5*x+1260*A*a^5)*((b*x+a)^2)^(5/2)/x^11/(b*x+a)^5","A"
702,1,140,215,0.055000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^13,x)","-\frac{\left(924 B \,b^{5} x^{6}+792 A \,b^{5} x^{5}+3960 B a \,b^{4} x^{5}+3465 A a \,b^{4} x^{4}+6930 B \,a^{2} b^{3} x^{4}+6160 A \,a^{2} b^{3} x^{3}+6160 B \,a^{3} b^{2} x^{3}+5544 A \,a^{3} b^{2} x^{2}+2772 B \,a^{4} b \,x^{2}+2520 A \,a^{4} b x +504 B \,a^{5} x +462 A \,a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{5544 \left(b x +a \right)^{5} x^{12}}"," ",0,"-1/5544*(924*B*b^5*x^6+792*A*b^5*x^5+3960*B*a*b^4*x^5+3465*A*a*b^4*x^4+6930*B*a^2*b^3*x^4+6160*A*a^2*b^3*x^3+6160*B*a^3*b^2*x^3+5544*A*a^3*b^2*x^2+2772*B*a^4*b*x^2+2520*A*a^4*b*x+504*B*a^5*x+462*A*a^5)*((b*x+a)^2)^(5/2)/x^12/(b*x+a)^5","A"
703,1,140,215,0.055000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^14,x)","-\frac{\left(10296 B \,b^{5} x^{6}+9009 A \,b^{5} x^{5}+45045 B a \,b^{4} x^{5}+40040 A a \,b^{4} x^{4}+80080 B \,a^{2} b^{3} x^{4}+72072 A \,a^{2} b^{3} x^{3}+72072 B \,a^{3} b^{2} x^{3}+65520 A \,a^{3} b^{2} x^{2}+32760 B \,a^{4} b \,x^{2}+30030 A \,a^{4} b x +6006 B \,a^{5} x +5544 A \,a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{72072 \left(b x +a \right)^{5} x^{13}}"," ",0,"-1/72072*(10296*B*b^5*x^6+9009*A*b^5*x^5+45045*B*a*b^4*x^5+40040*A*a*b^4*x^4+80080*B*a^2*b^3*x^4+72072*A*a^2*b^3*x^3+72072*B*a^3*b^2*x^3+65520*A*a^3*b^2*x^2+32760*B*a^4*b*x^2+30030*A*a^4*b*x+6006*B*a^5*x+5544*A*a^5)*((b*x+a)^2)^(5/2)/x^13/(b*x+a)^5","A"
704,1,138,184,0.059000," ","int(x^4*(B*x+A)/((b*x+a)^2)^(1/2),x)","\frac{\left(b x +a \right) \left(12 B \,b^{5} x^{5}+15 A \,b^{5} x^{4}-15 B a \,b^{4} x^{4}-20 A a \,b^{4} x^{3}+20 B \,a^{2} b^{3} x^{3}+30 A \,a^{2} b^{3} x^{2}-30 B \,a^{3} b^{2} x^{2}+60 A \,a^{4} b \ln \left(b x +a \right)-60 A \,a^{3} b^{2} x -60 B \,a^{5} \ln \left(b x +a \right)+60 B \,a^{4} b x \right)}{60 \sqrt{\left(b x +a \right)^{2}}\, b^{6}}"," ",0,"1/60*(b*x+a)*(12*B*b^5*x^5+15*A*x^4*b^5-15*B*x^4*a*b^4-20*A*x^3*a*b^4+20*B*x^3*a^2*b^3+30*A*x^2*a^2*b^3-30*B*x^2*a^3*b^2+60*A*ln(b*x+a)*a^4*b-60*A*a^3*b^2*x-60*B*ln(b*x+a)*a^5+60*B*a^4*b*x)/((b*x+a)^2)^(1/2)/b^6","A"
705,1,114,151,0.054000," ","int(x^3*(B*x+A)/((b*x+a)^2)^(1/2),x)","-\frac{\left(b x +a \right) \left(-3 B \,b^{4} x^{4}-4 A \,b^{4} x^{3}+4 B a \,b^{3} x^{3}+6 A a \,b^{3} x^{2}-6 B \,a^{2} b^{2} x^{2}+12 A \,a^{3} b \ln \left(b x +a \right)-12 A \,a^{2} b^{2} x -12 B \,a^{4} \ln \left(b x +a \right)+12 B \,a^{3} b x \right)}{12 \sqrt{\left(b x +a \right)^{2}}\, b^{5}}"," ",0,"-1/12*(b*x+a)*(-3*B*b^4*x^4-4*A*x^3*b^4+4*B*x^3*a*b^3+6*A*x^2*a*b^3-6*B*x^2*a^2*b^2+12*A*ln(b*x+a)*a^3*b-12*A*x*a^2*b^2-12*B*ln(b*x+a)*a^4+12*B*x*a^3*b)/((b*x+a)^2)^(1/2)/b^5","A"
706,1,90,118,0.051000," ","int(x^2*(B*x+A)/((b*x+a)^2)^(1/2),x)","\frac{\left(b x +a \right) \left(2 B \,b^{3} x^{3}+3 A \,b^{3} x^{2}-3 B a \,b^{2} x^{2}+6 A \,a^{2} b \ln \left(b x +a \right)-6 A a \,b^{2} x -6 B \,a^{3} \ln \left(b x +a \right)+6 B \,a^{2} b x \right)}{6 \sqrt{\left(b x +a \right)^{2}}\, b^{4}}"," ",0,"1/6*(b*x+a)*(2*b^3*B*x^3+3*A*x^2*b^3-3*B*x^2*a*b^2+6*A*ln(b*x+a)*a^2*b-6*A*a*b^2*x-6*B*ln(b*x+a)*a^3+6*B*a^2*b*x)/((b*x+a)^2)^(1/2)/b^4","A"
707,1,66,85,0.051000," ","int(x*(B*x+A)/((b*x+a)^2)^(1/2),x)","-\frac{\left(b x +a \right) \left(-B \,b^{2} x^{2}+2 A a b \ln \left(b x +a \right)-2 A \,b^{2} x -2 B \,a^{2} \ln \left(b x +a \right)+2 B a b x \right)}{2 \sqrt{\left(b x +a \right)^{2}}\, b^{3}}"," ",0,"-1/2*(b*x+a)*(-B*b^2*x^2+2*A*ln(b*x+a)*a*b-2*A*b^2*x-2*B*ln(b*x+a)*a^2+2*B*a*b*x)/((b*x+a)^2)^(1/2)/b^3","A"
708,1,43,47,0.049000," ","int((B*x+A)/((b*x+a)^2)^(1/2),x)","\frac{\left(b x +a \right) \left(A b \ln \left(b x +a \right)-B a \ln \left(b x +a \right)+B b x \right)}{\sqrt{\left(b x +a \right)^{2}}\, b^{2}}"," ",0,"(b*x+a)*(A*ln(b*x+a)*b-B*ln(b*x+a)*a+B*b*x)/((b*x+a)^2)^(1/2)/b^2","A"
709,1,49,58,0.058000," ","int((B*x+A)/x/((b*x+a)^2)^(1/2),x)","-\frac{\left(b x +a \right) \left(-A b \ln \left(x \right)+A b \ln \left(b x +a \right)-B a \ln \left(b x +a \right)\right)}{\sqrt{\left(b x +a \right)^{2}}\, a b}"," ",0,"-(b*x+a)*(A*b*ln(b*x+a)-A*b*ln(x)-B*a*ln(b*x+a))/((b*x+a)^2)^(1/2)/a/b","A"
710,1,61,80,0.064000," ","int((B*x+A)/x^2/((b*x+a)^2)^(1/2),x)","\frac{\left(b x +a \right) \left(-A b x \ln \left(x \right)+A b x \ln \left(b x +a \right)+B a x \ln \left(x \right)-B a x \ln \left(b x +a \right)-A a \right)}{\sqrt{\left(b x +a \right)^{2}}\, a^{2} x}"," ",0,"(b*x+a)*(A*ln(b*x+a)*x*b-A*ln(x)*x*b-B*ln(b*x+a)*x*a+B*ln(x)*x*a-A*a)/((b*x+a)^2)^(1/2)/x/a^2","A"
711,1,92,116,0.064000," ","int((B*x+A)/x^3/((b*x+a)^2)^(1/2),x)","-\frac{\left(b x +a \right) \left(-2 A \,b^{2} x^{2} \ln \left(x \right)+2 A \,b^{2} x^{2} \ln \left(b x +a \right)+2 B a b \,x^{2} \ln \left(x \right)-2 B a b \,x^{2} \ln \left(b x +a \right)-2 A a b x +2 B \,a^{2} x +A \,a^{2}\right)}{2 \sqrt{\left(b x +a \right)^{2}}\, a^{3} x^{2}}"," ",0,"-1/2*(b*x+a)*(2*A*ln(b*x+a)*x^2*b^2-2*A*ln(x)*x^2*b^2-2*B*ln(b*x+a)*x^2*a*b+2*B*ln(x)*x^2*a*b-2*A*a*b*x+2*B*a^2*x+A*a^2)/((b*x+a)^2)^(1/2)/x^2/a^3","A"
712,1,119,152,0.066000," ","int((B*x+A)/x^4/((b*x+a)^2)^(1/2),x)","\frac{\left(b x +a \right) \left(-6 A \,b^{3} x^{3} \ln \left(x \right)+6 A \,b^{3} x^{3} \ln \left(b x +a \right)+6 B a \,b^{2} x^{3} \ln \left(x \right)-6 B a \,b^{2} x^{3} \ln \left(b x +a \right)-6 A a \,b^{2} x^{2}+6 B \,a^{2} b \,x^{2}+3 A \,a^{2} b x -3 B \,a^{3} x -2 A \,a^{3}\right)}{6 \sqrt{\left(b x +a \right)^{2}}\, a^{4} x^{3}}"," ",0,"1/6*(b*x+a)*(6*A*ln(b*x+a)*x^3*b^3-6*A*b^3*x^3*ln(x)-6*B*ln(b*x+a)*x^3*a*b^2+6*B*a*b^2*x^3*ln(x)-6*A*a*b^2*x^2+6*B*a^2*b*x^2+3*A*a^2*b*x-3*B*a^3*x-2*A*a^3)/((b*x+a)^2)^(1/2)/a^4/x^3","A"
713,1,143,184,0.073000," ","int((B*x+A)/x^5/((b*x+a)^2)^(1/2),x)","-\frac{\left(b x +a \right) \left(-12 A \,b^{4} x^{4} \ln \left(x \right)+12 A \,b^{4} x^{4} \ln \left(b x +a \right)+12 B a \,b^{3} x^{4} \ln \left(x \right)-12 B a \,b^{3} x^{4} \ln \left(b x +a \right)-12 A a \,b^{3} x^{3}+12 B \,a^{2} b^{2} x^{3}+6 A \,a^{2} b^{2} x^{2}-6 B \,a^{3} b \,x^{2}-4 A \,a^{3} b x +4 B \,a^{4} x +3 A \,a^{4}\right)}{12 \sqrt{\left(b x +a \right)^{2}}\, a^{5} x^{4}}"," ",0,"-1/12*(b*x+a)*(12*A*ln(b*x+a)*x^4*b^4-12*A*ln(x)*x^4*b^4-12*B*ln(b*x+a)*x^4*a*b^3+12*B*ln(x)*x^4*a*b^3-12*A*a*b^3*x^3+12*B*x^3*a^2*b^2+6*A*a^2*b^2*x^2-6*B*x^2*a^3*b-4*A*a^3*b*x+4*B*a^4*x+3*A*a^4)/((b*x+a)^2)^(1/2)/x^4/a^5","A"
714,1,217,177,0.072000," ","int(x^4*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(2 B \,b^{5} x^{5}+3 A \,b^{5} x^{4}-5 B a \,b^{4} x^{4}+36 A \,a^{2} b^{3} x^{2} \ln \left(b x +a \right)-12 A a \,b^{4} x^{3}-60 B \,a^{3} b^{2} x^{2} \ln \left(b x +a \right)+20 B \,a^{2} b^{3} x^{3}+72 A \,a^{3} b^{2} x \ln \left(b x +a \right)-33 A \,a^{2} b^{3} x^{2}-120 B \,a^{4} b x \ln \left(b x +a \right)+63 B \,a^{3} b^{2} x^{2}+36 A \,a^{4} b \ln \left(b x +a \right)+6 A \,a^{3} b^{2} x -60 B \,a^{5} \ln \left(b x +a \right)+6 B \,a^{4} b x +21 A \,a^{4} b -27 B \,a^{5}\right) \left(b x +a \right)}{6 \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b^{6}}"," ",0,"1/6*(2*B*b^5*x^5+3*A*b^5*x^4-5*B*a*b^4*x^4+36*A*ln(b*x+a)*x^2*a^2*b^3-12*A*a*b^4*x^3-60*B*ln(b*x+a)*x^2*a^3*b^2+20*B*a^2*b^3*x^3+72*A*ln(b*x+a)*x*a^3*b^2-33*A*a^2*b^3*x^2-120*B*ln(b*x+a)*x*a^4*b+63*B*a^3*b^2*x^2+36*A*a^4*b*ln(b*x+a)+6*A*a^3*b^2*x-60*B*a^5*ln(b*x+a)+6*B*a^4*b*x+21*A*a^4*b-27*B*a^5)*(b*x+a)/b^6/((b*x+a)^2)^(3/2)","A"
715,1,191,143,0.105000," ","int(x^3*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","-\frac{\left(-B \,b^{4} x^{4}+6 A a \,b^{3} x^{2} \ln \left(b x +a \right)-2 A \,b^{4} x^{3}-12 B \,a^{2} b^{2} x^{2} \ln \left(b x +a \right)+4 B a \,b^{3} x^{3}+12 A \,a^{2} b^{2} x \ln \left(b x +a \right)-4 A a \,b^{3} x^{2}-24 B \,a^{3} b x \ln \left(b x +a \right)+11 B \,a^{2} b^{2} x^{2}+6 A \,a^{3} b \ln \left(b x +a \right)+4 A \,a^{2} b^{2} x -12 B \,a^{4} \ln \left(b x +a \right)-2 B \,a^{3} b x +5 A \,a^{3} b -7 B \,a^{4}\right) \left(b x +a \right)}{2 \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b^{5}}"," ",0,"-1/2*(-B*b^4*x^4+6*A*ln(b*x+a)*x^2*a*b^3-2*A*b^4*x^3-12*B*ln(b*x+a)*x^2*a^2*b^2+4*B*x^3*a*b^3+12*A*ln(b*x+a)*x*a^2*b^2-4*A*x^2*a*b^3-24*B*ln(b*x+a)*x*a^3*b+11*B*x^2*a^2*b^2+6*A*a^3*b*ln(b*x+a)+4*A*x*a^2*b^2-12*B*a^4*ln(b*x+a)-2*B*a^3*b*x+5*A*a^3*b-7*B*a^4)*(b*x+a)/b^5/((b*x+a)^2)^(3/2)","A"
716,1,153,108,0.092000," ","int(x^2*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(2 A \,b^{3} x^{2} \ln \left(b x +a \right)-6 B a \,b^{2} x^{2} \ln \left(b x +a \right)+2 B \,b^{3} x^{3}+4 A a \,b^{2} x \ln \left(b x +a \right)-12 B \,a^{2} b x \ln \left(b x +a \right)+4 B a \,b^{2} x^{2}+2 A \,a^{2} b \ln \left(b x +a \right)+4 A a \,b^{2} x -6 B \,a^{3} \ln \left(b x +a \right)-4 B \,a^{2} b x +3 A \,a^{2} b -5 B \,a^{3}\right) \left(b x +a \right)}{2 \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b^{4}}"," ",0,"1/2*(2*A*ln(b*x+a)*x^2*b^3-6*B*ln(b*x+a)*x^2*a*b^2+2*B*b^3*x^3+4*A*ln(b*x+a)*x*a*b^2-12*B*ln(b*x+a)*x*a^2*b+4*B*a*b^2*x^2+2*A*a^2*b*ln(b*x+a)+4*A*a*b^2*x-6*B*a^3*ln(b*x+a)-4*B*a^2*b*x+3*A*a^2*b-5*B*a^3)*(b*x+a)/b^4/((b*x+a)^2)^(3/2)","A"
717,1,83,78,0.063000," ","int(x*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","-\frac{\left(-2 B \,b^{2} x^{2} \ln \left(b x +a \right)-4 B a b x \ln \left(b x +a \right)+2 A \,b^{2} x -2 B \,a^{2} \ln \left(b x +a \right)-4 B a b x +A a b -3 B \,a^{2}\right) \left(b x +a \right)}{2 \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b^{3}}"," ",0,"-1/2*(-2*B*ln(b*x+a)*x^2*b^2-4*B*ln(b*x+a)*x*a*b+2*A*b^2*x-2*B*a^2*ln(b*x+a)-4*B*a*b*x+A*a*b-3*B*a^2)*(b*x+a)/b^3/((b*x+a)^2)^(3/2)","A"
718,1,32,45,0.053000," ","int((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","-\frac{\left(b x +a \right) \left(2 B b x +A b +B a \right)}{2 \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b^{2}}"," ",0,"-1/2*(b*x+a)*(2*B*b*x+A*b+B*a)/b^2/((b*x+a)^2)^(3/2)","A"
719,1,116,94,0.067000," ","int((B*x+A)/x/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","-\frac{\left(-2 A \,b^{3} x^{2} \ln \left(x \right)+2 A \,b^{3} x^{2} \ln \left(b x +a \right)-4 A a \,b^{2} x \ln \left(x \right)+4 A a \,b^{2} x \ln \left(b x +a \right)-2 A \,a^{2} b \ln \left(x \right)+2 A \,a^{2} b \ln \left(b x +a \right)-2 A a \,b^{2} x -3 A \,a^{2} b +B \,a^{3}\right) \left(b x +a \right)}{2 \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} a^{3} b}"," ",0,"-1/2*(2*A*b^3*x^2*ln(b*x+a)-2*A*ln(x)*x^2*b^3+4*A*a*b^2*x*ln(b*x+a)-4*A*ln(x)*x*a*b^2+2*A*a^2*b*ln(b*x+a)-2*A*ln(x)*a^2*b-2*A*a*b^2*x-3*A*a^2*b+B*a^3)*(b*x+a)/b/a^3/((b*x+a)^2)^(3/2)","A"
720,1,221,137,0.073000," ","int((B*x+A)/x^2/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(-6 A \,b^{3} x^{3} \ln \left(x \right)+6 A \,b^{3} x^{3} \ln \left(b x +a \right)+2 B a \,b^{2} x^{3} \ln \left(x \right)-2 B a \,b^{2} x^{3} \ln \left(b x +a \right)-12 A a \,b^{2} x^{2} \ln \left(x \right)+12 A a \,b^{2} x^{2} \ln \left(b x +a \right)+4 B \,a^{2} b \,x^{2} \ln \left(x \right)-4 B \,a^{2} b \,x^{2} \ln \left(b x +a \right)-6 A \,a^{2} b x \ln \left(x \right)+6 A \,a^{2} b x \ln \left(b x +a \right)-6 A a \,b^{2} x^{2}+2 B \,a^{3} x \ln \left(x \right)-2 B \,a^{3} x \ln \left(b x +a \right)+2 B \,a^{2} b \,x^{2}-9 A \,a^{2} b x +3 B \,a^{3} x -2 A \,a^{3}\right) \left(b x +a \right)}{2 \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} a^{4} x}"," ",0,"1/2*(6*A*b^3*x^3*ln(b*x+a)-6*A*b^3*x^3*ln(x)-2*B*a*b^2*x^3*ln(b*x+a)+2*B*a*b^2*x^3*ln(x)+12*A*ln(b*x+a)*x^2*a*b^2-12*A*a*b^2*x^2*ln(x)-4*B*ln(b*x+a)*x^2*a^2*b+4*B*a^2*b*x^2*ln(x)+6*A*ln(b*x+a)*x*a^2*b-6*A*ln(x)*x*a^2*b-6*A*a*b^2*x^2-2*B*ln(b*x+a)*x*a^3+2*B*a^3*x*ln(x)+2*B*a^2*b*x^2-9*A*a^2*b*x+3*B*a^3*x-2*A*a^3)*(b*x+a)/x/a^4/((b*x+a)^2)^(3/2)","A"
721,1,262,173,0.063000," ","int((B*x+A)/x^3/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","-\frac{\left(-12 A \,b^{4} x^{4} \ln \left(x \right)+12 A \,b^{4} x^{4} \ln \left(b x +a \right)+6 B a \,b^{3} x^{4} \ln \left(x \right)-6 B a \,b^{3} x^{4} \ln \left(b x +a \right)-24 A a \,b^{3} x^{3} \ln \left(x \right)+24 A a \,b^{3} x^{3} \ln \left(b x +a \right)+12 B \,a^{2} b^{2} x^{3} \ln \left(x \right)-12 B \,a^{2} b^{2} x^{3} \ln \left(b x +a \right)-12 A \,a^{2} b^{2} x^{2} \ln \left(x \right)+12 A \,a^{2} b^{2} x^{2} \ln \left(b x +a \right)-12 A a \,b^{3} x^{3}+6 B \,a^{3} b \,x^{2} \ln \left(x \right)-6 B \,a^{3} b \,x^{2} \ln \left(b x +a \right)+6 B \,a^{2} b^{2} x^{3}-18 A \,a^{2} b^{2} x^{2}+9 B \,a^{3} b \,x^{2}-4 A \,a^{3} b x +2 B \,a^{4} x +A \,a^{4}\right) \left(b x +a \right)}{2 \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} a^{5} x^{2}}"," ",0,"-1/2*(12*A*b^4*x^4*ln(b*x+a)-12*A*b^4*x^4*ln(x)-6*B*a*b^3*x^4*ln(b*x+a)+6*B*a*b^3*x^4*ln(x)+24*A*ln(b*x+a)*x^3*a*b^3-24*A*ln(x)*x^3*a*b^3-12*B*ln(b*x+a)*x^3*a^2*b^2+12*B*ln(x)*x^3*a^2*b^2+12*A*ln(b*x+a)*x^2*a^2*b^2-12*A*ln(x)*x^2*a^2*b^2-12*A*a*b^3*x^3-6*B*ln(b*x+a)*x^2*a^3*b+6*B*ln(x)*x^2*a^3*b+6*B*a^2*b^2*x^3-18*A*a^2*b^2*x^2+9*B*a^3*b*x^2-4*A*a^3*b*x+2*B*a^4*x+A*a^4)*(b*x+a)/x^2/a^5/((b*x+a)^2)^(3/2)","A"
722,1,273,175,0.072000," ","int(x^4*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(12 A \,b^{5} x^{4} \ln \left(b x +a \right)-60 B a \,b^{4} x^{4} \ln \left(b x +a \right)+12 B \,b^{5} x^{5}+48 A a \,b^{4} x^{3} \ln \left(b x +a \right)-240 B \,a^{2} b^{3} x^{3} \ln \left(b x +a \right)+48 B a \,b^{4} x^{4}+72 A \,a^{2} b^{3} x^{2} \ln \left(b x +a \right)+48 A a \,b^{4} x^{3}-360 B \,a^{3} b^{2} x^{2} \ln \left(b x +a \right)-48 B \,a^{2} b^{3} x^{3}+48 A \,a^{3} b^{2} x \ln \left(b x +a \right)+108 A \,a^{2} b^{3} x^{2}-240 B \,a^{4} b x \ln \left(b x +a \right)-252 B \,a^{3} b^{2} x^{2}+12 A \,a^{4} b \ln \left(b x +a \right)+88 A \,a^{3} b^{2} x -60 B \,a^{5} \ln \left(b x +a \right)-248 B \,a^{4} b x +25 A \,a^{4} b -77 B \,a^{5}\right) \left(b x +a \right)}{12 \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{6}}"," ",0,"1/12*(12*A*ln(b*x+a)*x^4*b^5-60*B*ln(b*x+a)*x^4*a*b^4+12*B*b^5*x^5+48*A*ln(b*x+a)*x^3*a*b^4-240*B*ln(b*x+a)*x^3*a^2*b^3+48*B*a*b^4*x^4+72*A*a^2*b^3*x^2*ln(b*x+a)+48*A*a*b^4*x^3-360*B*a^3*b^2*x^2*ln(b*x+a)-48*B*a^2*b^3*x^3+48*A*a^3*b^2*x*ln(b*x+a)+108*A*a^2*b^3*x^2-240*B*a^4*b*x*ln(b*x+a)-252*B*a^3*b^2*x^2+12*A*a^4*b*ln(b*x+a)+88*A*a^3*b^2*x-60*B*a^5*ln(b*x+a)-248*B*a^4*b*x+25*A*a^4*b-77*B*a^5)*(b*x+a)/b^6/((b*x+a)^2)^(5/2)","A"
723,1,168,127,0.061000," ","int(x^3*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(-12 B \,b^{4} x^{4} \ln \left(b x +a \right)-48 B a \,b^{3} x^{3} \ln \left(b x +a \right)+12 A \,b^{4} x^{3}-72 B \,a^{2} b^{2} x^{2} \ln \left(b x +a \right)-48 B a \,b^{3} x^{3}+18 A a \,b^{3} x^{2}-48 B \,a^{3} b x \ln \left(b x +a \right)-108 B \,a^{2} b^{2} x^{2}+12 A \,a^{2} b^{2} x -12 B \,a^{4} \ln \left(b x +a \right)-88 B \,a^{3} b x +3 A \,a^{3} b -25 B \,a^{4}\right) \left(b x +a \right)}{12 \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{5}}"," ",0,"-1/12*(-12*B*ln(b*x+a)*x^4*b^4-48*B*ln(b*x+a)*x^3*a*b^3+12*A*b^4*x^3-72*B*a^2*b^2*x^2*ln(b*x+a)-48*B*a*b^3*x^3+18*A*a*b^3*x^2-48*B*a^3*b*x*ln(b*x+a)-108*B*a^2*b^2*x^2+12*A*a^2*b^2*x-12*B*a^4*ln(b*x+a)-88*B*a^3*b*x+3*A*a^3*b-25*B*a^4)*(b*x+a)/b^5/((b*x+a)^2)^(5/2)","A"
724,1,77,60,0.050000," ","int(x^2*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(b x +a \right) \left(12 B \,b^{3} x^{3}+6 A \,b^{3} x^{2}+18 B a \,b^{2} x^{2}+4 A a \,b^{2} x +12 B \,a^{2} b x +A \,a^{2} b +3 B \,a^{3}\right)}{12 \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{4}}"," ",0,"-1/12*(b*x+a)*(12*B*b^3*x^3+6*A*b^3*x^2+18*B*a*b^2*x^2+4*A*a*b^2*x+12*B*a^2*b*x+A*a^2*b+3*B*a^3)/b^4/((b*x+a)^2)^(5/2)","A"
725,1,52,83,0.051000," ","int(x*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(b x +a \right) \left(6 B \,b^{2} x^{2}+4 A \,b^{2} x +4 B a b x +A a b +B \,a^{2}\right)}{12 \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{3}}"," ",0,"-1/12*(b*x+a)/b^3*(6*B*b^2*x^2+4*A*b^2*x+4*B*a*b*x+A*a*b+B*a^2)/((b*x+a)^2)^(5/2)","A"
726,1,33,63,0.055000," ","int((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(b x +a \right) \left(4 B b x +3 A b +B a \right)}{12 \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{2}}"," ",0,"-1/12*(b*x+a)/b^2*(4*B*b*x+3*A*b+B*a)/((b*x+a)^2)^(5/2)","A"
727,1,205,138,0.071000," ","int((B*x+A)/x/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(-12 A \,b^{5} x^{4} \ln \left(x \right)+12 A \,b^{5} x^{4} \ln \left(b x +a \right)-48 A a \,b^{4} x^{3} \ln \left(x \right)+48 A a \,b^{4} x^{3} \ln \left(b x +a \right)-72 A \,a^{2} b^{3} x^{2} \ln \left(x \right)+72 A \,a^{2} b^{3} x^{2} \ln \left(b x +a \right)-12 A a \,b^{4} x^{3}-48 A \,a^{3} b^{2} x \ln \left(x \right)+48 A \,a^{3} b^{2} x \ln \left(b x +a \right)-42 A \,a^{2} b^{3} x^{2}-12 A \,a^{4} b \ln \left(x \right)+12 A \,a^{4} b \ln \left(b x +a \right)-52 A \,a^{3} b^{2} x -25 A \,a^{4} b +3 B \,a^{5}\right) \left(b x +a \right)}{12 \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} a^{5} b}"," ",0,"-1/12*(12*A*b^5*x^4*ln(b*x+a)-12*A*ln(x)*x^4*b^5+48*A*a*b^4*x^3*ln(b*x+a)-48*A*ln(x)*x^3*a*b^4+72*A*a^2*b^3*x^2*ln(b*x+a)-72*A*ln(x)*x^2*a^2*b^3-12*A*a*b^4*x^3+48*A*a^3*b^2*x*ln(b*x+a)-48*A*ln(x)*x*a^3*b^2-42*A*a^2*b^3*x^2+12*A*a^4*b*ln(b*x+a)-12*A*ln(x)*a^4*b-52*A*a^3*b^2*x-25*A*a^4*b+3*B*a^5)*(b*x+a)/b/a^5/((b*x+a)^2)^(5/2)","A"
728,1,397,195,0.061000," ","int((B*x+A)/x^2/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(-60 A \,b^{5} x^{5} \ln \left(x \right)+60 A \,b^{5} x^{5} \ln \left(b x +a \right)+12 B a \,b^{4} x^{5} \ln \left(x \right)-12 B a \,b^{4} x^{5} \ln \left(b x +a \right)-240 A a \,b^{4} x^{4} \ln \left(x \right)+240 A a \,b^{4} x^{4} \ln \left(b x +a \right)+48 B \,a^{2} b^{3} x^{4} \ln \left(x \right)-48 B \,a^{2} b^{3} x^{4} \ln \left(b x +a \right)-360 A \,a^{2} b^{3} x^{3} \ln \left(x \right)+360 A \,a^{2} b^{3} x^{3} \ln \left(b x +a \right)-60 A a \,b^{4} x^{4}+72 B \,a^{3} b^{2} x^{3} \ln \left(x \right)-72 B \,a^{3} b^{2} x^{3} \ln \left(b x +a \right)+12 B \,a^{2} b^{3} x^{4}-240 A \,a^{3} b^{2} x^{2} \ln \left(x \right)+240 A \,a^{3} b^{2} x^{2} \ln \left(b x +a \right)-210 A \,a^{2} b^{3} x^{3}+48 B \,a^{4} b \,x^{2} \ln \left(x \right)-48 B \,a^{4} b \,x^{2} \ln \left(b x +a \right)+42 B \,a^{3} b^{2} x^{3}-60 A \,a^{4} b x \ln \left(x \right)+60 A \,a^{4} b x \ln \left(b x +a \right)-260 A \,a^{3} b^{2} x^{2}+12 B \,a^{5} x \ln \left(x \right)-12 B \,a^{5} x \ln \left(b x +a \right)+52 B \,a^{4} b \,x^{2}-125 A \,a^{4} b x +25 B \,a^{5} x -12 A \,a^{5}\right) \left(b x +a \right)}{12 \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} a^{6} x}"," ",0,"1/12*(52*B*a^4*b*x^2-125*A*a^4*b*x-60*A*a*b^4*x^4+12*B*a^2*b^3*x^4-260*A*a^3*b^2*x^2-210*A*a^2*b^3*x^3+42*B*a^3*b^2*x^3-60*A*b^5*x^5*ln(x)+12*B*a^5*x*ln(x)-12*A*a^5+12*B*a*b^4*x^5*ln(x)-240*A*a^3*b^2*x^2*ln(x)+48*B*a^4*b*x^2*ln(x)-60*A*ln(x)*x*a^4*b-12*B*ln(b*x+a)*x^5*a*b^4+240*A*ln(b*x+a)*x^4*a*b^4+25*B*a^5*x+60*A*ln(b*x+a)*x^5*b^5-12*B*ln(b*x+a)*x*a^5-48*B*ln(b*x+a)*x^4*a^2*b^3-240*A*ln(x)*x^4*a*b^4+48*B*ln(x)*x^4*a^2*b^3-360*A*ln(x)*x^3*a^2*b^3+72*B*ln(x)*x^3*a^3*b^2+360*A*ln(b*x+a)*x^3*a^2*b^3-72*B*ln(b*x+a)*x^3*a^3*b^2+240*A*ln(b*x+a)*x^2*a^3*b^2-48*B*ln(b*x+a)*x^2*a^4*b+60*A*ln(b*x+a)*x*a^4*b)*(b*x+a)/x/a^6/((b*x+a)^2)^(5/2)","B"
729,1,52,47,0.053000," ","int(x^(7/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2),x)","\frac{2 \left(429 B \,b^{2} x^{3}+495 A \,b^{2} x^{2}+990 B a b \,x^{2}+1170 A a b x +585 B \,a^{2} x +715 A \,a^{2}\right) x^{\frac{9}{2}}}{6435}"," ",0,"2/6435*x^(9/2)*(429*B*b^2*x^3+495*A*b^2*x^2+990*B*a*b*x^2+1170*A*a*b*x+585*B*a^2*x+715*A*a^2)","A"
730,1,52,47,0.048000," ","int(x^(5/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2),x)","\frac{2 \left(693 B \,b^{2} x^{3}+819 A \,b^{2} x^{2}+1638 B a b \,x^{2}+2002 A a b x +1001 B \,a^{2} x +1287 A \,a^{2}\right) x^{\frac{7}{2}}}{9009}"," ",0,"2/9009*x^(7/2)*(693*B*b^2*x^3+819*A*b^2*x^2+1638*B*a*b*x^2+2002*A*a*b*x+1001*B*a^2*x+1287*A*a^2)","A"
731,1,52,47,0.052000," ","int(x^(3/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2),x)","\frac{2 \left(315 B \,b^{2} x^{3}+385 A \,b^{2} x^{2}+770 B a b \,x^{2}+990 A a b x +495 B \,a^{2} x +693 A \,a^{2}\right) x^{\frac{5}{2}}}{3465}"," ",0,"2/3465*x^(5/2)*(315*B*b^2*x^3+385*A*b^2*x^2+770*B*a*b*x^2+990*A*a*b*x+495*B*a^2*x+693*A*a^2)","A"
732,1,52,47,0.053000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)*x^(1/2),x)","\frac{2 \left(35 B \,b^{2} x^{3}+45 A \,b^{2} x^{2}+90 B a b \,x^{2}+126 A a b x +63 B \,a^{2} x +105 A \,a^{2}\right) x^{\frac{3}{2}}}{315}"," ",0,"2/315*x^(3/2)*(35*B*b^2*x^3+45*A*b^2*x^2+90*B*a*b*x^2+126*A*a*b*x+63*B*a^2*x+105*A*a^2)","A"
733,1,52,47,0.052000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x^(1/2),x)","\frac{2 \left(15 B \,b^{2} x^{3}+21 A \,b^{2} x^{2}+42 B a b \,x^{2}+70 A a b x +35 B \,a^{2} x +105 A \,a^{2}\right) \sqrt{x}}{105}"," ",0,"2/105*x^(1/2)*(15*B*b^2*x^3+21*A*b^2*x^2+42*B*a*b*x^2+70*A*a*b*x+35*B*a^2*x+105*A*a^2)","A"
734,1,52,47,0.051000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x^(3/2),x)","-\frac{2 \left(-3 B \,b^{2} x^{3}-5 A \,b^{2} x^{2}-10 B a b \,x^{2}-30 A a b x -15 B \,a^{2} x +15 A \,a^{2}\right)}{15 \sqrt{x}}"," ",0,"-2/15*(-3*B*b^2*x^3-5*A*b^2*x^2-10*B*a*b*x^2-30*A*a*b*x-15*B*a^2*x+15*A*a^2)/x^(1/2)","A"
735,1,51,47,0.052000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x^(5/2),x)","-\frac{2 \left(-B \,b^{2} x^{3}-3 A \,b^{2} x^{2}-6 B a b \,x^{2}+6 A a b x +3 B \,a^{2} x +A \,a^{2}\right)}{3 x^{\frac{3}{2}}}"," ",0,"-2/3*(-B*b^2*x^3-3*A*b^2*x^2-6*B*a*b*x^2+6*A*a*b*x+3*B*a^2*x+A*a^2)/x^(3/2)","A"
736,1,52,47,0.048000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x^(7/2),x)","-\frac{2 \left(-15 B \,b^{2} x^{3}+15 A \,b^{2} x^{2}+30 B a b \,x^{2}+10 A a b x +5 B \,a^{2} x +3 A \,a^{2}\right)}{15 x^{\frac{5}{2}}}"," ",0,"-2/15*(-15*B*b^2*x^3+15*A*b^2*x^2+30*B*a*b*x^2+10*A*a*b*x+5*B*a^2*x+3*A*a^2)/x^(5/2)","A"
737,1,52,47,0.051000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x^(9/2),x)","-\frac{2 \left(105 B \,b^{2} x^{3}+35 A \,b^{2} x^{2}+70 B a b \,x^{2}+42 A a b x +21 B \,a^{2} x +15 A \,a^{2}\right)}{105 x^{\frac{7}{2}}}"," ",0,"-2/105*(105*B*b^2*x^3+35*A*b^2*x^2+70*B*a*b*x^2+42*A*a*b*x+21*B*a^2*x+15*A*a^2)/x^(7/2)","A"
738,1,100,87,0.054000," ","int(x^(7/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{2 \left(109395 b^{4} B \,x^{5}+122265 A \,b^{4} x^{4}+489060 x^{4} B a \,b^{3}+554268 A a \,b^{3} x^{3}+831402 B \,a^{2} b^{2} x^{3}+959310 A \,a^{2} b^{2} x^{2}+639540 B \,a^{3} b \,x^{2}+755820 A \,a^{3} b x +188955 B \,a^{4} x +230945 A \,a^{4}\right) x^{\frac{9}{2}}}{2078505}"," ",0,"2/2078505*x^(9/2)*(109395*B*b^4*x^5+122265*A*b^4*x^4+489060*B*a*b^3*x^4+554268*A*a*b^3*x^3+831402*B*a^2*b^2*x^3+959310*A*a^2*b^2*x^2+639540*B*a^3*b*x^2+755820*A*a^3*b*x+188955*B*a^4*x+230945*A*a^4)","A"
739,1,100,87,0.052000," ","int(x^(5/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{2 \left(45045 b^{4} B \,x^{5}+51051 A \,b^{4} x^{4}+204204 x^{4} B a \,b^{3}+235620 A a \,b^{3} x^{3}+353430 B \,a^{2} b^{2} x^{3}+417690 A \,a^{2} b^{2} x^{2}+278460 B \,a^{3} b \,x^{2}+340340 A \,a^{3} b x +85085 B \,a^{4} x +109395 A \,a^{4}\right) x^{\frac{7}{2}}}{765765}"," ",0,"2/765765*x^(7/2)*(45045*B*b^4*x^5+51051*A*b^4*x^4+204204*B*a*b^3*x^4+235620*A*a*b^3*x^3+353430*B*a^2*b^2*x^3+417690*A*a^2*b^2*x^2+278460*B*a^3*b*x^2+340340*A*a^3*b*x+85085*B*a^4*x+109395*A*a^4)","A"
740,1,100,87,0.055000," ","int(x^(3/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{2 \left(3003 b^{4} B \,x^{5}+3465 A \,b^{4} x^{4}+13860 x^{4} B a \,b^{3}+16380 A a \,b^{3} x^{3}+24570 B \,a^{2} b^{2} x^{3}+30030 A \,a^{2} b^{2} x^{2}+20020 B \,a^{3} b \,x^{2}+25740 A \,a^{3} b x +6435 B \,a^{4} x +9009 A \,a^{4}\right) x^{\frac{5}{2}}}{45045}"," ",0,"2/45045*x^(5/2)*(3003*B*b^4*x^5+3465*A*b^4*x^4+13860*B*a*b^3*x^4+16380*A*a*b^3*x^3+24570*B*a^2*b^2*x^3+30030*A*a^2*b^2*x^2+20020*B*a^3*b*x^2+25740*A*a^3*b*x+6435*B*a^4*x+9009*A*a^4)","A"
741,1,100,87,0.056000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2*x^(1/2),x)","\frac{2 \left(3465 b^{4} B \,x^{5}+4095 A \,b^{4} x^{4}+16380 x^{4} B a \,b^{3}+20020 A a \,b^{3} x^{3}+30030 B \,a^{2} b^{2} x^{3}+38610 A \,a^{2} b^{2} x^{2}+25740 B \,a^{3} b \,x^{2}+36036 A \,a^{3} b x +9009 B \,a^{4} x +15015 A \,a^{4}\right) x^{\frac{3}{2}}}{45045}"," ",0,"2/45045*x^(3/2)*(3465*B*b^4*x^5+4095*A*b^4*x^4+16380*B*a*b^3*x^4+20020*A*a*b^3*x^3+30030*B*a^2*b^2*x^3+38610*A*a^2*b^2*x^2+25740*B*a^3*b*x^2+36036*A*a^3*b*x+9009*B*a^4*x+15015*A*a^4)","A"
742,1,100,87,0.054000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^(1/2),x)","\frac{2 \left(315 b^{4} B \,x^{5}+385 A \,b^{4} x^{4}+1540 x^{4} B a \,b^{3}+1980 A a \,b^{3} x^{3}+2970 B \,a^{2} b^{2} x^{3}+4158 A \,a^{2} b^{2} x^{2}+2772 B \,a^{3} b \,x^{2}+4620 A \,a^{3} b x +1155 B \,a^{4} x +3465 A \,a^{4}\right) \sqrt{x}}{3465}"," ",0,"2/3465*x^(1/2)*(315*B*b^4*x^5+385*A*b^4*x^4+1540*B*a*b^3*x^4+1980*A*a*b^3*x^3+2970*B*a^2*b^2*x^3+4158*A*a^2*b^2*x^2+2772*B*a^3*b*x^2+4620*A*a^3*b*x+1155*B*a^4*x+3465*A*a^4)","A"
743,1,100,87,0.053000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^(3/2),x)","-\frac{2 \left(-35 b^{4} B \,x^{5}-45 A \,b^{4} x^{4}-180 x^{4} B a \,b^{3}-252 A a \,b^{3} x^{3}-378 B \,a^{2} b^{2} x^{3}-630 A \,a^{2} b^{2} x^{2}-420 B \,a^{3} b \,x^{2}-1260 A \,a^{3} b x -315 B \,a^{4} x +315 A \,a^{4}\right)}{315 \sqrt{x}}"," ",0,"-2/315*(-35*B*b^4*x^5-45*A*b^4*x^4-180*B*a*b^3*x^4-252*A*a*b^3*x^3-378*B*a^2*b^2*x^3-630*A*a^2*b^2*x^2-420*B*a^3*b*x^2-1260*A*a^3*b*x-315*B*a^4*x+315*A*a^4)/x^(1/2)","A"
744,1,100,87,0.052000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^(5/2),x)","-\frac{2 \left(-15 b^{4} B \,x^{5}-21 A \,b^{4} x^{4}-84 x^{4} B a \,b^{3}-140 A a \,b^{3} x^{3}-210 B \,a^{2} b^{2} x^{3}-630 A \,a^{2} b^{2} x^{2}-420 B \,a^{3} b \,x^{2}+420 A \,a^{3} b x +105 B \,a^{4} x +35 A \,a^{4}\right)}{105 x^{\frac{3}{2}}}"," ",0,"-2/105*(-15*B*b^4*x^5-21*A*b^4*x^4-84*B*a*b^3*x^4-140*A*a*b^3*x^3-210*B*a^2*b^2*x^3-630*A*a^2*b^2*x^2-420*B*a^3*b*x^2+420*A*a^3*b*x+105*B*a^4*x+35*A*a^4)/x^(3/2)","A"
745,1,100,87,0.054000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^(7/2),x)","-\frac{2 \left(-3 b^{4} B \,x^{5}-5 A \,b^{4} x^{4}-20 x^{4} B a \,b^{3}-60 A a \,b^{3} x^{3}-90 B \,a^{2} b^{2} x^{3}+90 A \,a^{2} b^{2} x^{2}+60 B \,a^{3} b \,x^{2}+20 A \,a^{3} b x +5 B \,a^{4} x +3 A \,a^{4}\right)}{15 x^{\frac{5}{2}}}"," ",0,"-2/15*(-3*B*b^4*x^5-5*A*b^4*x^4-20*B*a*b^3*x^4-60*A*a*b^3*x^3-90*B*a^2*b^2*x^3+90*A*a^2*b^2*x^2+60*B*a^3*b*x^2+20*A*a^3*b*x+5*B*a^4*x+3*A*a^4)/x^(5/2)","A"
746,1,100,87,0.052000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^(9/2),x)","-\frac{2 \left(-35 b^{4} B \,x^{5}-105 A \,b^{4} x^{4}-420 x^{4} B a \,b^{3}+420 A a \,b^{3} x^{3}+630 B \,a^{2} b^{2} x^{3}+210 A \,a^{2} b^{2} x^{2}+140 B \,a^{3} b \,x^{2}+84 A \,a^{3} b x +21 B \,a^{4} x +15 A \,a^{4}\right)}{105 x^{\frac{7}{2}}}"," ",0,"-2/105*(-35*B*b^4*x^5-105*A*b^4*x^4-420*B*a*b^3*x^4+420*A*a*b^3*x^3+630*B*a^2*b^2*x^3+210*A*a^2*b^2*x^2+140*B*a^3*b*x^2+84*A*a^3*b*x+21*B*a^4*x+15*A*a^4)/x^(7/2)","A"
747,1,148,127,0.054000," ","int(x^(7/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{2 \left(2909907 B \,b^{6} x^{7}+3187041 A \,b^{6} x^{6}+19122246 x^{6} B a \,b^{5}+21135114 A a \,b^{5} x^{5}+52837785 x^{5} B \,a^{2} b^{4}+59053995 A \,a^{2} b^{4} x^{4}+78738660 x^{4} B \,a^{3} b^{3}+89237148 A \,a^{3} b^{3} x^{3}+66927861 B \,a^{4} b^{2} x^{3}+77224455 A \,a^{4} b^{2} x^{2}+30889782 x^{2} B \,a^{5} b +36506106 A \,a^{5} b x +6084351 x B \,a^{6}+7436429 A \,a^{6}\right) x^{\frac{9}{2}}}{66927861}"," ",0,"2/66927861*x^(9/2)*(2909907*B*b^6*x^7+3187041*A*b^6*x^6+19122246*B*a*b^5*x^6+21135114*A*a*b^5*x^5+52837785*B*a^2*b^4*x^5+59053995*A*a^2*b^4*x^4+78738660*B*a^3*b^3*x^4+89237148*A*a^3*b^3*x^3+66927861*B*a^4*b^2*x^3+77224455*A*a^4*b^2*x^2+30889782*B*a^5*b*x^2+36506106*A*a^5*b*x+6084351*B*a^6*x+7436429*A*a^6)","A"
748,1,148,127,0.059000," ","int(x^(5/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{2 \left(138567 B \,b^{6} x^{7}+153153 A \,b^{6} x^{6}+918918 x^{6} B a \,b^{5}+1027026 A a \,b^{5} x^{5}+2567565 x^{5} B \,a^{2} b^{4}+2909907 A \,a^{2} b^{4} x^{4}+3879876 x^{4} B \,a^{3} b^{3}+4476780 A \,a^{3} b^{3} x^{3}+3357585 B \,a^{4} b^{2} x^{3}+3968055 A \,a^{4} b^{2} x^{2}+1587222 x^{2} B \,a^{5} b +1939938 A \,a^{5} b x +323323 x B \,a^{6}+415701 A \,a^{6}\right) x^{\frac{7}{2}}}{2909907}"," ",0,"2/2909907*x^(7/2)*(138567*B*b^6*x^7+153153*A*b^6*x^6+918918*B*a*b^5*x^6+1027026*A*a*b^5*x^5+2567565*B*a^2*b^4*x^5+2909907*A*a^2*b^4*x^4+3879876*B*a^3*b^3*x^4+4476780*A*a^3*b^3*x^3+3357585*B*a^4*b^2*x^3+3968055*A*a^4*b^2*x^2+1587222*B*a^5*b*x^2+1939938*A*a^5*b*x+323323*B*a^6*x+415701*A*a^6)","A"
749,1,148,127,0.061000," ","int(x^(3/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{2 \left(255255 B \,b^{6} x^{7}+285285 A \,b^{6} x^{6}+1711710 x^{6} B a \,b^{5}+1939938 A a \,b^{5} x^{5}+4849845 x^{5} B \,a^{2} b^{4}+5595975 A \,a^{2} b^{4} x^{4}+7461300 x^{4} B \,a^{3} b^{3}+8817900 A \,a^{3} b^{3} x^{3}+6613425 B \,a^{4} b^{2} x^{3}+8083075 A \,a^{4} b^{2} x^{2}+3233230 x^{2} B \,a^{5} b +4157010 A \,a^{5} b x +692835 x B \,a^{6}+969969 A \,a^{6}\right) x^{\frac{5}{2}}}{4849845}"," ",0,"2/4849845*x^(5/2)*(255255*B*b^6*x^7+285285*A*b^6*x^6+1711710*B*a*b^5*x^6+1939938*A*a*b^5*x^5+4849845*B*a^2*b^4*x^5+5595975*A*a^2*b^4*x^4+7461300*B*a^3*b^3*x^4+8817900*A*a^3*b^3*x^3+6613425*B*a^4*b^2*x^3+8083075*A*a^4*b^2*x^2+3233230*B*a^5*b*x^2+4157010*A*a^5*b*x+692835*B*a^6*x+969969*A*a^6)","A"
750,1,148,127,0.052000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3*x^(1/2),x)","\frac{2 \left(45045 B \,b^{6} x^{7}+51051 A \,b^{6} x^{6}+306306 x^{6} B a \,b^{5}+353430 A a \,b^{5} x^{5}+883575 x^{5} B \,a^{2} b^{4}+1044225 A \,a^{2} b^{4} x^{4}+1392300 x^{4} B \,a^{3} b^{3}+1701700 A \,a^{3} b^{3} x^{3}+1276275 B \,a^{4} b^{2} x^{3}+1640925 A \,a^{4} b^{2} x^{2}+656370 x^{2} B \,a^{5} b +918918 A \,a^{5} b x +153153 x B \,a^{6}+255255 A \,a^{6}\right) x^{\frac{3}{2}}}{765765}"," ",0,"2/765765*x^(3/2)*(45045*B*b^6*x^7+51051*A*b^6*x^6+306306*B*a*b^5*x^6+353430*A*a*b^5*x^5+883575*B*a^2*b^4*x^5+1044225*A*a^2*b^4*x^4+1392300*B*a^3*b^3*x^4+1701700*A*a^3*b^3*x^3+1276275*B*a^4*b^2*x^3+1640925*A*a^4*b^2*x^2+656370*B*a^5*b*x^2+918918*A*a^5*b*x+153153*B*a^6*x+255255*A*a^6)","A"
751,1,148,127,0.054000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^(1/2),x)","\frac{2 \left(3003 B \,b^{6} x^{7}+3465 A \,b^{6} x^{6}+20790 x^{6} B a \,b^{5}+24570 A a \,b^{5} x^{5}+61425 x^{5} B \,a^{2} b^{4}+75075 A \,a^{2} b^{4} x^{4}+100100 x^{4} B \,a^{3} b^{3}+128700 A \,a^{3} b^{3} x^{3}+96525 B \,a^{4} b^{2} x^{3}+135135 A \,a^{4} b^{2} x^{2}+54054 x^{2} B \,a^{5} b +90090 A \,a^{5} b x +15015 x B \,a^{6}+45045 A \,a^{6}\right) \sqrt{x}}{45045}"," ",0,"2/45045*x^(1/2)*(3003*B*b^6*x^7+3465*A*b^6*x^6+20790*B*a*b^5*x^6+24570*A*a*b^5*x^5+61425*B*a^2*b^4*x^5+75075*A*a^2*b^4*x^4+100100*B*a^3*b^3*x^4+128700*A*a^3*b^3*x^3+96525*B*a^4*b^2*x^3+135135*A*a^4*b^2*x^2+54054*B*a^5*b*x^2+90090*A*a^5*b*x+15015*B*a^6*x+45045*A*a^6)","A"
752,1,148,127,0.053000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^(3/2),x)","-\frac{2 \left(-231 B \,b^{6} x^{7}-273 A \,b^{6} x^{6}-1638 x^{6} B a \,b^{5}-2002 A a \,b^{5} x^{5}-5005 x^{5} B \,a^{2} b^{4}-6435 A \,a^{2} b^{4} x^{4}-8580 x^{4} B \,a^{3} b^{3}-12012 A \,a^{3} b^{3} x^{3}-9009 B \,a^{4} b^{2} x^{3}-15015 A \,a^{4} b^{2} x^{2}-6006 x^{2} B \,a^{5} b -18018 A \,a^{5} b x -3003 x B \,a^{6}+3003 A \,a^{6}\right)}{3003 \sqrt{x}}"," ",0,"-2/3003*(-231*B*b^6*x^7-273*A*b^6*x^6-1638*B*a*b^5*x^6-2002*A*a*b^5*x^5-5005*B*a^2*b^4*x^5-6435*A*a^2*b^4*x^4-8580*B*a^3*b^3*x^4-12012*A*a^3*b^3*x^3-9009*B*a^4*b^2*x^3-15015*A*a^4*b^2*x^2-6006*B*a^5*b*x^2-18018*A*a^5*b*x-3003*B*a^6*x+3003*A*a^6)/x^(1/2)","A"
753,1,148,127,0.056000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^(5/2),x)","-\frac{2 \left(-63 B \,b^{6} x^{7}-77 A \,b^{6} x^{6}-462 x^{6} B a \,b^{5}-594 A a \,b^{5} x^{5}-1485 x^{5} B \,a^{2} b^{4}-2079 A \,a^{2} b^{4} x^{4}-2772 x^{4} B \,a^{3} b^{3}-4620 A \,a^{3} b^{3} x^{3}-3465 B \,a^{4} b^{2} x^{3}-10395 A \,a^{4} b^{2} x^{2}-4158 x^{2} B \,a^{5} b +4158 A \,a^{5} b x +693 x B \,a^{6}+231 A \,a^{6}\right)}{693 x^{\frac{3}{2}}}"," ",0,"-2/693*(-63*B*b^6*x^7-77*A*b^6*x^6-462*B*a*b^5*x^6-594*A*a*b^5*x^5-1485*B*a^2*b^4*x^5-2079*A*a^2*b^4*x^4-2772*B*a^3*b^3*x^4-4620*A*a^3*b^3*x^3-3465*B*a^4*b^2*x^3-10395*A*a^4*b^2*x^2-4158*B*a^5*b*x^2+4158*A*a^5*b*x+693*B*a^6*x+231*A*a^6)/x^(3/2)","A"
754,1,148,127,0.049000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^(7/2),x)","-\frac{2 \left(-35 B \,b^{6} x^{7}-45 A \,b^{6} x^{6}-270 x^{6} B a \,b^{5}-378 A a \,b^{5} x^{5}-945 x^{5} B \,a^{2} b^{4}-1575 A \,a^{2} b^{4} x^{4}-2100 x^{4} B \,a^{3} b^{3}-6300 A \,a^{3} b^{3} x^{3}-4725 B \,a^{4} b^{2} x^{3}+4725 A \,a^{4} b^{2} x^{2}+1890 x^{2} B \,a^{5} b +630 A \,a^{5} b x +105 x B \,a^{6}+63 A \,a^{6}\right)}{315 x^{\frac{5}{2}}}"," ",0,"-2/315*(-35*B*b^6*x^7-45*A*b^6*x^6-270*B*a*b^5*x^6-378*A*a*b^5*x^5-945*B*a^2*b^4*x^5-1575*A*a^2*b^4*x^4-2100*B*a^3*b^3*x^4-6300*A*a^3*b^3*x^3-4725*B*a^4*b^2*x^3+4725*A*a^4*b^2*x^2+1890*B*a^5*b*x^2+630*A*a^5*b*x+105*B*a^6*x+63*A*a^6)/x^(5/2)","A"
755,1,148,127,0.055000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^(9/2),x)","-\frac{2 \left(-5 B \,b^{6} x^{7}-7 A \,b^{6} x^{6}-42 x^{6} B a \,b^{5}-70 A a \,b^{5} x^{5}-175 x^{5} B \,a^{2} b^{4}-525 A \,a^{2} b^{4} x^{4}-700 x^{4} B \,a^{3} b^{3}+700 A \,a^{3} b^{3} x^{3}+525 B \,a^{4} b^{2} x^{3}+175 A \,a^{4} b^{2} x^{2}+70 x^{2} B \,a^{5} b +42 A \,a^{5} b x +7 x B \,a^{6}+5 A \,a^{6}\right)}{35 x^{\frac{7}{2}}}"," ",0,"-2/35*(-5*B*b^6*x^7-7*A*b^6*x^6-42*B*a*b^5*x^6-70*A*a*b^5*x^5-175*B*a^2*b^4*x^5-525*A*a^2*b^4*x^4-700*B*a^3*b^3*x^4+700*A*a^3*b^3*x^3+525*B*a^4*b^2*x^3+175*A*a^4*b^2*x^2+70*B*a^5*b*x^2+42*A*a^5*b*x+7*B*a^6*x+5*A*a^6)/x^(7/2)","A"
756,1,148,127,0.053000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^(11/2),x)","-\frac{2 \left(-63 B \,b^{6} x^{7}-105 A \,b^{6} x^{6}-630 x^{6} B a \,b^{5}-1890 A a \,b^{5} x^{5}-4725 x^{5} B \,a^{2} b^{4}+4725 A \,a^{2} b^{4} x^{4}+6300 x^{4} B \,a^{3} b^{3}+2100 A \,a^{3} b^{3} x^{3}+1575 B \,a^{4} b^{2} x^{3}+945 A \,a^{4} b^{2} x^{2}+378 x^{2} B \,a^{5} b +270 A \,a^{5} b x +45 x B \,a^{6}+35 A \,a^{6}\right)}{315 x^{\frac{9}{2}}}"," ",0,"-2/315*(-63*B*b^6*x^7-105*A*b^6*x^6-630*B*a*b^5*x^6-1890*A*a*b^5*x^5-4725*B*a^2*b^4*x^5+4725*A*a^2*b^4*x^4+6300*B*a^3*b^3*x^4+2100*A*a^3*b^3*x^3+1575*B*a^4*b^2*x^3+945*A*a^4*b^2*x^2+378*B*a^5*b*x^2+270*A*a^5*b*x+45*B*a^6*x+35*A*a^6)/x^(9/2)","A"
757,1,163,128,0.069000," ","int(x^(7/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2),x)","\frac{2 B \,x^{\frac{7}{2}}}{7 b^{2}}+\frac{2 A \,x^{\frac{5}{2}}}{5 b^{2}}-\frac{4 B a \,x^{\frac{5}{2}}}{5 b^{3}}-\frac{7 A \,a^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{4}}+\frac{9 B \,a^{4} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{5}}+\frac{A \,a^{3} \sqrt{x}}{\left(b x +a \right) b^{4}}-\frac{4 A a \,x^{\frac{3}{2}}}{3 b^{3}}-\frac{B \,a^{4} \sqrt{x}}{\left(b x +a \right) b^{5}}+\frac{2 B \,a^{2} x^{\frac{3}{2}}}{b^{4}}+\frac{6 A \,a^{2} \sqrt{x}}{b^{4}}-\frac{8 B \,a^{3} \sqrt{x}}{b^{5}}"," ",0,"2/7/b^2*B*x^(7/2)+2/5/b^2*A*x^(5/2)-4/5/b^3*B*x^(5/2)*a-4/3/b^3*A*x^(3/2)*a+2/b^4*B*x^(3/2)*a^2+6/b^4*A*a^2*x^(1/2)-8/b^5*B*x^(1/2)*a^3+a^3/b^4*x^(1/2)/(b*x+a)*A-a^4/b^5*x^(1/2)/(b*x+a)*B-7*a^3/b^4/(a*b)^(1/2)*arctan(x^(1/2)*b/(a*b)^(1/2))*A+9*a^4/b^5/(a*b)^(1/2)*arctan(x^(1/2)*b/(a*b)^(1/2))*B","A"
758,1,139,108,0.096000," ","int(x^(5/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2),x)","\frac{2 B \,x^{\frac{5}{2}}}{5 b^{2}}+\frac{5 A \,a^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{3}}-\frac{7 B \,a^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{4}}-\frac{A \,a^{2} \sqrt{x}}{\left(b x +a \right) b^{3}}+\frac{2 A \,x^{\frac{3}{2}}}{3 b^{2}}+\frac{B \,a^{3} \sqrt{x}}{\left(b x +a \right) b^{4}}-\frac{4 B a \,x^{\frac{3}{2}}}{3 b^{3}}-\frac{4 A a \sqrt{x}}{b^{3}}+\frac{6 B \,a^{2} \sqrt{x}}{b^{4}}"," ",0,"2/5/b^2*B*x^(5/2)+2/3/b^2*A*x^(3/2)-4/3/b^3*a*B*x^(3/2)-4/b^3*A*x^(1/2)*a+6/b^4*B*x^(1/2)*a^2-a^2/b^3*x^(1/2)/(b*x+a)*A+a^3/b^4*x^(1/2)/(b*x+a)*B+5*a^2/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A-7*a^3/b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B","A"
759,1,113,90,0.133000," ","int(x^(3/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2),x)","-\frac{3 A a \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{2}}+\frac{5 B \,a^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{3}}+\frac{A a \sqrt{x}}{\left(b x +a \right) b^{2}}-\frac{B \,a^{2} \sqrt{x}}{\left(b x +a \right) b^{3}}+\frac{2 B \,x^{\frac{3}{2}}}{3 b^{2}}+\frac{2 A \sqrt{x}}{b^{2}}-\frac{4 B a \sqrt{x}}{b^{3}}"," ",0,"2/3/b^2*B*x^(3/2)+2/b^2*A*x^(1/2)-4/b^3*B*a*x^(1/2)+a/b^2*x^(1/2)/(b*x+a)*A-a^2/b^3*x^(1/2)/(b*x+a)*B-3*a/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A+5*a^2/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B","A"
760,1,87,71,0.076000," ","int((B*x+A)*x^(1/2)/(b^2*x^2+2*a*b*x+a^2),x)","\frac{A \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b}-\frac{3 B a \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{2}}-\frac{A \sqrt{x}}{\left(b x +a \right) b}+\frac{B a \sqrt{x}}{\left(b x +a \right) b^{2}}+\frac{2 B \sqrt{x}}{b^{2}}"," ",0,"2*B/b^2*x^(1/2)-1/b*x^(1/2)/(b*x+a)*A+1/b^2*x^(1/2)/(b*x+a)*B*a+1/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A-3/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B*a","A"
761,1,69,51,0.069000," ","int((B*x+A)/(b^2*x^2+2*a*b*x+a^2)/x^(1/2),x)","\frac{A \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a}+\frac{B \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b}+\frac{\left(A b -B a \right) \sqrt{x}}{\left(b x +a \right) a b}"," ",0,"(A*b-B*a)*x^(1/2)/a/b/(b*x+a)+1/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A+1/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B","A"
762,1,87,72,0.086000," ","int((B*x+A)/x^(3/2)/(b^2*x^2+2*a*b*x+a^2),x)","-\frac{3 A b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{2}}+\frac{B \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a}-\frac{A b \sqrt{x}}{\left(b x +a \right) a^{2}}+\frac{B \sqrt{x}}{\left(b x +a \right) a}-\frac{2 A}{a^{2} \sqrt{x}}"," ",0,"-1/a^2*x^(1/2)/(b*x+a)*A*b+1/a*x^(1/2)/(b*x+a)*B-3/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A*b+1/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B-2*A/a^2/x^(1/2)","A"
763,1,113,89,0.073000," ","int((B*x+A)/x^(5/2)/(b^2*x^2+2*a*b*x+a^2),x)","\frac{5 A \,b^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{3}}-\frac{3 B b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{2}}+\frac{A \,b^{2} \sqrt{x}}{\left(b x +a \right) a^{3}}-\frac{B b \sqrt{x}}{\left(b x +a \right) a^{2}}+\frac{4 A b}{a^{3} \sqrt{x}}-\frac{2 B}{a^{2} \sqrt{x}}-\frac{2 A}{3 a^{2} x^{\frac{3}{2}}}"," ",0,"b^2/a^3*x^(1/2)/(b*x+a)*A-b/a^2*x^(1/2)/(b*x+a)*B+5*b^2/a^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A-3*b/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B-2/3*A/a^2/x^(3/2)+4/a^3/x^(1/2)*A*b-2*B/a^2/x^(1/2)","A"
764,1,139,109,0.069000," ","int((B*x+A)/x^(7/2)/(b^2*x^2+2*a*b*x+a^2),x)","-\frac{7 A \,b^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{4}}+\frac{5 B \,b^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{3}}-\frac{A \,b^{3} \sqrt{x}}{\left(b x +a \right) a^{4}}+\frac{B \,b^{2} \sqrt{x}}{\left(b x +a \right) a^{3}}-\frac{6 A \,b^{2}}{a^{4} \sqrt{x}}+\frac{4 B b}{a^{3} \sqrt{x}}+\frac{4 A b}{3 a^{3} x^{\frac{3}{2}}}-\frac{2 B}{3 a^{2} x^{\frac{3}{2}}}-\frac{2 A}{5 a^{2} x^{\frac{5}{2}}}"," ",0,"-1/a^4*b^3*x^(1/2)/(b*x+a)*A+1/a^3*b^2*x^(1/2)/(b*x+a)*B-7/a^4*b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A+5/a^3*b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B-2/5*A/a^2/x^(5/2)+4/3/a^3/x^(3/2)*A*b-2/3/a^2/x^(3/2)*B-6*b^2/a^4/x^(1/2)*A+4*b/a^3/x^(1/2)*B","A"
765,1,163,127,0.076000," ","int((B*x+A)/x^(9/2)/(b^2*x^2+2*a*b*x+a^2),x)","\frac{9 A \,b^{4} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{5}}-\frac{7 B \,b^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{4}}+\frac{A \,b^{4} \sqrt{x}}{\left(b x +a \right) a^{5}}-\frac{B \,b^{3} \sqrt{x}}{\left(b x +a \right) a^{4}}+\frac{8 A \,b^{3}}{a^{5} \sqrt{x}}-\frac{6 B \,b^{2}}{a^{4} \sqrt{x}}-\frac{2 A \,b^{2}}{a^{4} x^{\frac{3}{2}}}+\frac{4 B b}{3 a^{3} x^{\frac{3}{2}}}+\frac{4 A b}{5 a^{3} x^{\frac{5}{2}}}-\frac{2 B}{5 a^{2} x^{\frac{5}{2}}}-\frac{2 A}{7 a^{2} x^{\frac{7}{2}}}"," ",0,"1/a^5*b^4*x^(1/2)/(b*x+a)*A-1/a^4*b^3*x^(1/2)/(b*x+a)*B+9/a^5*b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A-7/a^4*b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B-2/7*A/a^2/x^(7/2)+4/5/a^3/x^(5/2)*A*b-2/5/a^2/x^(5/2)*B-2*b^2/a^4/x^(3/2)*A+4/3*b/a^3/x^(3/2)*B+8*b^3/a^5/x^(1/2)*A-6*b^2/a^4/x^(1/2)*B","A"
766,1,190,141,0.073000," ","int(x^(7/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{29 A a \,x^{\frac{5}{2}}}{8 \left(b x +a \right)^{3} b^{2}}-\frac{55 B \,a^{2} x^{\frac{5}{2}}}{8 \left(b x +a \right)^{3} b^{3}}+\frac{17 A \,a^{2} x^{\frac{3}{2}}}{3 \left(b x +a \right)^{3} b^{3}}-\frac{35 B \,a^{3} x^{\frac{3}{2}}}{3 \left(b x +a \right)^{3} b^{4}}+\frac{19 A \,a^{3} \sqrt{x}}{8 \left(b x +a \right)^{3} b^{4}}-\frac{41 B \,a^{4} \sqrt{x}}{8 \left(b x +a \right)^{3} b^{5}}-\frac{35 A a \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{4}}+\frac{105 B \,a^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{5}}+\frac{2 B \,x^{\frac{3}{2}}}{3 b^{4}}+\frac{2 A \sqrt{x}}{b^{4}}-\frac{8 B a \sqrt{x}}{b^{5}}"," ",0,"2/3/b^4*B*x^(3/2)+2/b^4*A*x^(1/2)-8/b^5*B*a*x^(1/2)+29/8*a/b^2/(b*x+a)^3*x^(5/2)*A-55/8*a^2/b^3/(b*x+a)^3*x^(5/2)*B+17/3*a^2/b^3/(b*x+a)^3*A*x^(3/2)-35/3*a^3/b^4/(b*x+a)^3*B*x^(3/2)+19/8*a^3/b^4/(b*x+a)^3*x^(1/2)*A-41/8*a^4/b^5/(b*x+a)^3*x^(1/2)*B-35/8*a/b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A+105/8*a^2/b^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B","A"
767,1,163,125,0.071000," ","int(x^(5/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{11 A \,x^{\frac{5}{2}}}{8 \left(b x +a \right)^{3} b}+\frac{29 B a \,x^{\frac{5}{2}}}{8 \left(b x +a \right)^{3} b^{2}}-\frac{5 A a \,x^{\frac{3}{2}}}{3 \left(b x +a \right)^{3} b^{2}}+\frac{17 B \,a^{2} x^{\frac{3}{2}}}{3 \left(b x +a \right)^{3} b^{3}}-\frac{5 A \,a^{2} \sqrt{x}}{8 \left(b x +a \right)^{3} b^{3}}+\frac{19 B \,a^{3} \sqrt{x}}{8 \left(b x +a \right)^{3} b^{4}}+\frac{5 A \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{3}}-\frac{35 B a \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{4}}+\frac{2 B \sqrt{x}}{b^{4}}"," ",0,"2*B/b^4*x^(1/2)+29/8/b^2/(b*x+a)^3*x^(5/2)*B*a-11/8/b/(b*x+a)^3*x^(5/2)*A-5/3/b^2/(b*x+a)^3*A*x^(3/2)*a+17/3/b^3/(b*x+a)^3*B*x^(3/2)*a^2+19/8/b^4/(b*x+a)^3*x^(1/2)*B*a^3-5/8/b^3/(b*x+a)^3*x^(1/2)*A*a^2+5/8/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A-35/8/b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B*a","A"
768,1,111,106,0.095000," ","int(x^(3/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{A \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a \,b^{2}}+\frac{5 B \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{3}}+\frac{\frac{\left(A b -11 B a \right) x^{\frac{5}{2}}}{8 a b}-\frac{\left(A b +5 B a \right) x^{\frac{3}{2}}}{3 b^{2}}-\frac{\left(A b +5 B a \right) a \sqrt{x}}{8 b^{3}}}{\left(b x +a \right)^{3}}"," ",0,"2*(1/16*(A*b-11*B*a)/a/b*x^(5/2)-1/6/b^2*(A*b+5*B*a)*x^(3/2)-1/16*(A*b+5*B*a)*a/b^3*x^(1/2))/(b*x+a)^3+1/8/a/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A+5/8/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B","A"
769,1,111,103,0.095000," ","int((B*x+A)*x^(1/2)/(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{A \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{2} b}+\frac{B \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a \,b^{2}}+\frac{\frac{\left(A b +B a \right) x^{\frac{5}{2}}}{8 a^{2}}+\frac{\left(A b -B a \right) x^{\frac{3}{2}}}{3 a b}-\frac{\left(A b +B a \right) \sqrt{x}}{8 b^{2}}}{\left(b x +a \right)^{3}}"," ",0,"2*(1/16*(A*b+B*a)/a^2*x^(5/2)+1/6*(A*b-B*a)/a/b*x^(3/2)-1/16*(A*b+B*a)/b^2*x^(1/2))/(b*x+a)^3+1/8/a^2/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A+1/8/a/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B","A"
770,1,112,106,0.065000," ","int((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2/x^(1/2),x)","\frac{5 A \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{3}}+\frac{B \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{2} b}+\frac{\frac{\left(5 A b +B a \right) b \,x^{\frac{5}{2}}}{8 a^{3}}+\frac{\left(5 A b +B a \right) x^{\frac{3}{2}}}{3 a^{2}}+\frac{\left(11 A b -B a \right) \sqrt{x}}{8 a b}}{\left(b x +a \right)^{3}}"," ",0,"2*(1/16*(5*A*b+B*a)/a^3*b*x^(5/2)+1/6/a^2*(5*A*b+B*a)*x^(3/2)+1/16*(11*A*b-B*a)/a/b*x^(1/2))/(b*x+a)^3+5/8/a^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A+1/8/a^2/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B","A"
771,1,163,129,0.086000," ","int((B*x+A)/x^(3/2)/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{19 A \,b^{3} x^{\frac{5}{2}}}{8 \left(b x +a \right)^{3} a^{4}}+\frac{5 B \,b^{2} x^{\frac{5}{2}}}{8 \left(b x +a \right)^{3} a^{3}}-\frac{17 A \,b^{2} x^{\frac{3}{2}}}{3 \left(b x +a \right)^{3} a^{3}}+\frac{5 B b \,x^{\frac{3}{2}}}{3 \left(b x +a \right)^{3} a^{2}}-\frac{29 A b \sqrt{x}}{8 \left(b x +a \right)^{3} a^{2}}+\frac{11 B \sqrt{x}}{8 \left(b x +a \right)^{3} a}-\frac{35 A b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{4}}+\frac{5 B \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{3}}-\frac{2 A}{a^{4} \sqrt{x}}"," ",0,"-19/8/a^4/(b*x+a)^3*x^(5/2)*A*b^3+5/8/a^3/(b*x+a)^3*x^(5/2)*B*b^2-17/3/a^3/(b*x+a)^3*A*x^(3/2)*b^2+5/3/a^2/(b*x+a)^3*B*x^(3/2)*b-29/8/a^2/(b*x+a)^3*x^(1/2)*A*b+11/8/a/(b*x+a)^3*x^(1/2)*B-35/8/a^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A*b+5/8/a^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B-2*A/a^4/x^(1/2)","A"
772,1,190,146,0.076000," ","int((B*x+A)/x^(5/2)/(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{41 A \,b^{4} x^{\frac{5}{2}}}{8 \left(b x +a \right)^{3} a^{5}}-\frac{19 B \,b^{3} x^{\frac{5}{2}}}{8 \left(b x +a \right)^{3} a^{4}}+\frac{35 A \,b^{3} x^{\frac{3}{2}}}{3 \left(b x +a \right)^{3} a^{4}}-\frac{17 B \,b^{2} x^{\frac{3}{2}}}{3 \left(b x +a \right)^{3} a^{3}}+\frac{55 A \,b^{2} \sqrt{x}}{8 \left(b x +a \right)^{3} a^{3}}-\frac{29 B b \sqrt{x}}{8 \left(b x +a \right)^{3} a^{2}}+\frac{105 A \,b^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{5}}-\frac{35 B b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{4}}+\frac{8 A b}{a^{5} \sqrt{x}}-\frac{2 B}{a^{4} \sqrt{x}}-\frac{2 A}{3 a^{4} x^{\frac{3}{2}}}"," ",0,"41/8/a^5*b^4/(b*x+a)^3*x^(5/2)*A-19/8/a^4*b^3/(b*x+a)^3*x^(5/2)*B+35/3/a^4*b^3/(b*x+a)^3*A*x^(3/2)-17/3/a^3*b^2/(b*x+a)^3*B*x^(3/2)+55/8/a^3*b^2/(b*x+a)^3*x^(1/2)*A-29/8/a^2*b/(b*x+a)^3*x^(1/2)*B+105/8/a^5*b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A-35/8/a^4*b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B-2/3*A/a^4/x^(3/2)+8/a^5/x^(1/2)*A*b-2/a^4/x^(1/2)*B","A"
773,1,266,200,0.079000," ","int(x^(11/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{843 A a \,x^{\frac{9}{2}}}{128 \left(b x +a \right)^{5} b^{2}}-\frac{2373 B \,a^{2} x^{\frac{9}{2}}}{128 \left(b x +a \right)^{5} b^{3}}+\frac{1327 A \,a^{2} x^{\frac{7}{2}}}{64 \left(b x +a \right)^{5} b^{3}}-\frac{12131 B \,a^{3} x^{\frac{7}{2}}}{192 \left(b x +a \right)^{5} b^{4}}+\frac{131 A \,a^{3} x^{\frac{5}{2}}}{5 \left(b x +a \right)^{5} b^{4}}-\frac{1253 B \,a^{4} x^{\frac{5}{2}}}{15 \left(b x +a \right)^{5} b^{5}}+\frac{977 A \,a^{4} x^{\frac{3}{2}}}{64 \left(b x +a \right)^{5} b^{5}}-\frac{9629 B \,a^{5} x^{\frac{3}{2}}}{192 \left(b x +a \right)^{5} b^{6}}+\frac{437 A \,a^{5} \sqrt{x}}{128 \left(b x +a \right)^{5} b^{6}}-\frac{1467 B \,a^{6} \sqrt{x}}{128 \left(b x +a \right)^{5} b^{7}}-\frac{693 A a \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \sqrt{a b}\, b^{6}}+\frac{3003 B \,a^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \sqrt{a b}\, b^{7}}+\frac{2 B \,x^{\frac{3}{2}}}{3 b^{6}}+\frac{2 A \sqrt{x}}{b^{6}}-\frac{12 B a \sqrt{x}}{b^{7}}"," ",0,"2/3/b^6*B*x^(3/2)+2/b^6*A*x^(1/2)-12/b^7*B*a*x^(1/2)+843/128*a/b^2/(b*x+a)^5*x^(9/2)*A-2373/128*a^2/b^3/(b*x+a)^5*x^(9/2)*B+1327/64*a^2/b^3/(b*x+a)^5*x^(7/2)*A-12131/192*a^3/b^4/(b*x+a)^5*x^(7/2)*B+131/5*a^3/b^4/(b*x+a)^5*x^(5/2)*A-1253/15*a^4/b^5/(b*x+a)^5*x^(5/2)*B+977/64*a^4/b^5/(b*x+a)^5*A*x^(3/2)-9629/192*a^5/b^6/(b*x+a)^5*B*x^(3/2)+437/128*a^5/b^6/(b*x+a)^5*x^(1/2)*A-1467/128*a^6/b^7/(b*x+a)^5*x^(1/2)*B-693/128*a/b^6/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A+3003/128*a^2/b^7/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B","A"
774,1,239,177,0.080000," ","int(x^(9/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3,x)","-\frac{193 A \,x^{\frac{9}{2}}}{128 \left(b x +a \right)^{5} b}+\frac{843 B a \,x^{\frac{9}{2}}}{128 \left(b x +a \right)^{5} b^{2}}-\frac{237 A a \,x^{\frac{7}{2}}}{64 \left(b x +a \right)^{5} b^{2}}+\frac{1327 B \,a^{2} x^{\frac{7}{2}}}{64 \left(b x +a \right)^{5} b^{3}}-\frac{21 A \,a^{2} x^{\frac{5}{2}}}{5 \left(b x +a \right)^{5} b^{3}}+\frac{131 B \,a^{3} x^{\frac{5}{2}}}{5 \left(b x +a \right)^{5} b^{4}}-\frac{147 A \,a^{3} x^{\frac{3}{2}}}{64 \left(b x +a \right)^{5} b^{4}}+\frac{977 B \,a^{4} x^{\frac{3}{2}}}{64 \left(b x +a \right)^{5} b^{5}}-\frac{63 A \,a^{4} \sqrt{x}}{128 \left(b x +a \right)^{5} b^{5}}+\frac{437 B \,a^{5} \sqrt{x}}{128 \left(b x +a \right)^{5} b^{6}}+\frac{63 A \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \sqrt{a b}\, b^{5}}-\frac{693 B a \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \sqrt{a b}\, b^{6}}+\frac{2 B \sqrt{x}}{b^{6}}"," ",0,"2*B/b^6*x^(1/2)-193/128/b/(b*x+a)^5*x^(9/2)*A+843/128/b^2/(b*x+a)^5*x^(9/2)*B*a+1327/64/b^3/(b*x+a)^5*x^(7/2)*B*a^2-237/64/b^2/(b*x+a)^5*x^(7/2)*A*a+131/5/b^4/(b*x+a)^5*x^(5/2)*B*a^3-21/5/b^3/(b*x+a)^5*x^(5/2)*A*a^2-147/64/b^4/(b*x+a)^5*A*x^(3/2)*a^3+977/64/b^5/(b*x+a)^5*B*x^(3/2)*a^4+437/128/b^6/(b*x+a)^5*x^(1/2)*B*a^5-63/128/b^5/(b*x+a)^5*x^(1/2)*A*a^4+63/128/b^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A-693/128/b^6/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B*a","A"
775,1,150,158,0.064000," ","int(x^(7/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{7 A \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \sqrt{a b}\, a \,b^{4}}+\frac{63 B \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \sqrt{a b}\, b^{5}}+\frac{\frac{\left(7 A b -193 B a \right) x^{\frac{9}{2}}}{128 a b}-\frac{79 \left(A b +9 B a \right) x^{\frac{7}{2}}}{192 b^{2}}-\frac{7 \left(A b +9 B a \right) a \,x^{\frac{5}{2}}}{15 b^{3}}-\frac{49 \left(A b +9 B a \right) a^{2} x^{\frac{3}{2}}}{192 b^{4}}-\frac{7 \left(A b +9 B a \right) a^{3} \sqrt{x}}{128 b^{5}}}{\left(b x +a \right)^{5}}"," ",0,"2*(1/256*(7*A*b-193*B*a)/a/b*x^(9/2)-79/384*(A*b+9*B*a)/b^2*x^(7/2)-7/30*a*(A*b+9*B*a)/b^3*x^(5/2)-49/384*a^2*(A*b+9*B*a)/b^4*x^(3/2)-7/256*(A*b+9*B*a)*a^3/b^5*x^(1/2))/(b*x+a)^5+7/128/a/b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A+63/128/b^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B","A"
776,1,154,163,0.073000," ","int(x^(5/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{3 A \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \sqrt{a b}\, a^{2} b^{3}}+\frac{7 B \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \sqrt{a b}\, a \,b^{4}}+\frac{\frac{\left(3 A b +7 B a \right) x^{\frac{9}{2}}}{128 a^{2}}+\frac{\left(21 A b -79 B a \right) x^{\frac{7}{2}}}{192 a b}-\frac{\left(3 A b +7 B a \right) x^{\frac{5}{2}}}{15 b^{2}}-\frac{7 \left(3 A b +7 B a \right) a \,x^{\frac{3}{2}}}{192 b^{3}}-\frac{\left(3 A b +7 B a \right) a^{2} \sqrt{x}}{128 b^{4}}}{\left(b x +a \right)^{5}}"," ",0,"2*(1/256*(3*A*b+7*B*a)/a^2*x^(9/2)+1/384*(21*A*b-79*B*a)/a/b*x^(7/2)-1/30/b^2*(3*A*b+7*B*a)*x^(5/2)-7/384*a/b^3*(3*A*b+7*B*a)*x^(3/2)-1/256*(3*A*b+7*B*a)*a^2/b^4*x^(1/2))/(b*x+a)^5+3/128/a^2/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A+7/128/a/b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B","A"
777,1,143,153,0.067000," ","int(x^(3/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{3 A \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \sqrt{a b}\, a^{3} b^{2}}+\frac{3 B \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \sqrt{a b}\, a^{2} b^{3}}+\frac{\frac{3 \left(A b +B a \right) b \,x^{\frac{9}{2}}}{128 a^{3}}+\frac{7 \left(A b +B a \right) x^{\frac{7}{2}}}{64 a^{2}}+\frac{\left(A b -B a \right) x^{\frac{5}{2}}}{5 a b}-\frac{7 \left(A b +B a \right) x^{\frac{3}{2}}}{64 b^{2}}-\frac{3 \left(A b +B a \right) a \sqrt{x}}{128 b^{3}}}{\left(b x +a \right)^{5}}"," ",0,"2*(3/256*(A*b+B*a)/a^3*b*x^(9/2)+7/128*(A*b+B*a)/a^2*x^(7/2)+1/10*(A*b-B*a)/a/b*x^(5/2)-7/128*(A*b+B*a)/b^2*x^(3/2)-3/256*(A*b+B*a)*a/b^3*x^(1/2))/(b*x+a)^5+3/128/a^3/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A+3/128/a^2/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B","A"
778,1,154,163,0.075000," ","int((B*x+A)*x^(1/2)/(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{7 A \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \sqrt{a b}\, a^{4} b}+\frac{3 B \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \sqrt{a b}\, a^{3} b^{2}}+\frac{\frac{\left(7 A b +3 B a \right) b^{2} x^{\frac{9}{2}}}{128 a^{4}}+\frac{7 \left(7 A b +3 B a \right) b \,x^{\frac{7}{2}}}{192 a^{3}}+\frac{\left(7 A b +3 B a \right) x^{\frac{5}{2}}}{15 a^{2}}+\frac{\left(79 A b -21 B a \right) x^{\frac{3}{2}}}{192 a b}-\frac{\left(7 A b +3 B a \right) \sqrt{x}}{128 b^{2}}}{\left(b x +a \right)^{5}}"," ",0,"2*(1/256*(7*A*b+3*B*a)/a^4*b^2*x^(9/2)+7/384/a^3*b*(7*A*b+3*B*a)*x^(7/2)+1/30/a^2*(7*A*b+3*B*a)*x^(5/2)+1/384*(79*A*b-21*B*a)/a/b*x^(3/2)-1/256*(7*A*b+3*B*a)/b^2*x^(1/2))/(b*x+a)^5+7/128/a^4/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A+3/128/a^3/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B","A"
779,1,150,158,0.073000," ","int((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3/x^(1/2),x)","\frac{63 A \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \sqrt{a b}\, a^{5}}+\frac{7 B \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \sqrt{a b}\, a^{4} b}+\frac{\frac{7 \left(9 A b +B a \right) b^{3} x^{\frac{9}{2}}}{128 a^{5}}+\frac{49 \left(9 A b +B a \right) b^{2} x^{\frac{7}{2}}}{192 a^{4}}+\frac{7 \left(9 A b +B a \right) b \,x^{\frac{5}{2}}}{15 a^{3}}+\frac{79 \left(9 A b +B a \right) x^{\frac{3}{2}}}{192 a^{2}}+\frac{\left(193 A b -7 B a \right) \sqrt{x}}{128 a b}}{\left(b x +a \right)^{5}}"," ",0,"2*(7/256*(9*A*b+B*a)/a^5*b^3*x^(9/2)+49/384/a^4*b^2*(9*A*b+B*a)*x^(7/2)+7/30/a^3*(9*A*b+B*a)*b*x^(5/2)+79/384/a^2*(9*A*b+B*a)*x^(3/2)+1/256*(193*A*b-7*B*a)/a/b*x^(1/2))/(b*x+a)^5+63/128/a^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A+7/128/a^4/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B","A"
780,1,239,183,0.107000," ","int((B*x+A)/x^(3/2)/(b^2*x^2+2*a*b*x+a^2)^3,x)","-\frac{437 A \,b^{5} x^{\frac{9}{2}}}{128 \left(b x +a \right)^{5} a^{6}}+\frac{63 B \,b^{4} x^{\frac{9}{2}}}{128 \left(b x +a \right)^{5} a^{5}}-\frac{977 A \,b^{4} x^{\frac{7}{2}}}{64 \left(b x +a \right)^{5} a^{5}}+\frac{147 B \,b^{3} x^{\frac{7}{2}}}{64 \left(b x +a \right)^{5} a^{4}}-\frac{131 A \,b^{3} x^{\frac{5}{2}}}{5 \left(b x +a \right)^{5} a^{4}}+\frac{21 B \,b^{2} x^{\frac{5}{2}}}{5 \left(b x +a \right)^{5} a^{3}}-\frac{1327 A \,b^{2} x^{\frac{3}{2}}}{64 \left(b x +a \right)^{5} a^{3}}+\frac{237 B b \,x^{\frac{3}{2}}}{64 \left(b x +a \right)^{5} a^{2}}-\frac{843 A b \sqrt{x}}{128 \left(b x +a \right)^{5} a^{2}}+\frac{193 B \sqrt{x}}{128 \left(b x +a \right)^{5} a}-\frac{693 A b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \sqrt{a b}\, a^{6}}+\frac{63 B \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \sqrt{a b}\, a^{5}}-\frac{2 A}{a^{6} \sqrt{x}}"," ",0,"-437/128/a^6/(b*x+a)^5*x^(9/2)*A*b^5+63/128/a^5/(b*x+a)^5*x^(9/2)*B*b^4-977/64/a^5/(b*x+a)^5*A*x^(7/2)*b^4+147/64/a^4/(b*x+a)^5*B*x^(7/2)*b^3-131/5/a^4/(b*x+a)^5*x^(5/2)*A*b^3+21/5/a^3/(b*x+a)^5*x^(5/2)*b^2*B-1327/64/a^3/(b*x+a)^5*x^(3/2)*A*b^2+237/64/a^2/(b*x+a)^5*x^(3/2)*b*B-843/128/a^2/(b*x+a)^5*x^(1/2)*A*b+193/128/a/(b*x+a)^5*x^(1/2)*B-693/128/a^6/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A*b+63/128/a^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B-2*A/a^6/x^(1/2)","A"
781,1,266,200,0.096000," ","int((B*x+A)/x^(5/2)/(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{1467 A \,b^{6} x^{\frac{9}{2}}}{128 \left(b x +a \right)^{5} a^{7}}-\frac{437 B \,b^{5} x^{\frac{9}{2}}}{128 \left(b x +a \right)^{5} a^{6}}+\frac{9629 A \,b^{5} x^{\frac{7}{2}}}{192 \left(b x +a \right)^{5} a^{6}}-\frac{977 B \,b^{4} x^{\frac{7}{2}}}{64 \left(b x +a \right)^{5} a^{5}}+\frac{1253 A \,b^{4} x^{\frac{5}{2}}}{15 \left(b x +a \right)^{5} a^{5}}-\frac{131 B \,b^{3} x^{\frac{5}{2}}}{5 \left(b x +a \right)^{5} a^{4}}+\frac{12131 A \,b^{3} x^{\frac{3}{2}}}{192 \left(b x +a \right)^{5} a^{4}}-\frac{1327 B \,b^{2} x^{\frac{3}{2}}}{64 \left(b x +a \right)^{5} a^{3}}+\frac{2373 A \,b^{2} \sqrt{x}}{128 \left(b x +a \right)^{5} a^{3}}-\frac{843 B b \sqrt{x}}{128 \left(b x +a \right)^{5} a^{2}}+\frac{3003 A \,b^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \sqrt{a b}\, a^{7}}-\frac{693 B b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \sqrt{a b}\, a^{6}}+\frac{12 A b}{a^{7} \sqrt{x}}-\frac{2 B}{a^{6} \sqrt{x}}-\frac{2 A}{3 a^{6} x^{\frac{3}{2}}}"," ",0,"1467/128/a^7*b^6/(b*x+a)^5*x^(9/2)*A-437/128/a^6*b^5/(b*x+a)^5*x^(9/2)*B+9629/192/a^6*b^5/(b*x+a)^5*A*x^(7/2)-977/64/a^5*b^4/(b*x+a)^5*B*x^(7/2)+1253/15/a^5*b^4/(b*x+a)^5*x^(5/2)*A-131/5/a^4*b^3/(b*x+a)^5*x^(5/2)*B+12131/192/a^4*b^3/(b*x+a)^5*x^(3/2)*A-1327/64/a^3*b^2/(b*x+a)^5*x^(3/2)*B+2373/128/a^3*b^2/(b*x+a)^5*x^(1/2)*A-843/128/a^2*b/(b*x+a)^5*x^(1/2)*B+3003/128/a^7*b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A-693/128/a^6*b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B-2/3*A/a^6/x^(3/2)+12/a^7/x^(1/2)*A*b-2/a^6/x^(1/2)*B","A"
782,1,44,75,0.053000," ","int(x^(7/2)*(B*x+A)*((b*x+a)^2)^(1/2),x)","\frac{2 \left(99 B b \,x^{2}+117 A b x +117 B a x +143 A a \right) \sqrt{\left(b x +a \right)^{2}}\, x^{\frac{9}{2}}}{1287 \left(b x +a \right)}"," ",0,"2/1287*x^(9/2)*(99*B*b*x^2+117*A*b*x+117*B*a*x+143*A*a)*((b*x+a)^2)^(1/2)/(b*x+a)","A"
783,1,44,75,0.048000," ","int(x^(5/2)*(B*x+A)*((b*x+a)^2)^(1/2),x)","\frac{2 \left(63 B b \,x^{2}+77 A b x +77 B a x +99 A a \right) \sqrt{\left(b x +a \right)^{2}}\, x^{\frac{7}{2}}}{693 \left(b x +a \right)}"," ",0,"2/693*x^(7/2)*(63*B*b*x^2+77*A*b*x+77*B*a*x+99*A*a)*((b*x+a)^2)^(1/2)/(b*x+a)","A"
784,1,44,75,0.048000," ","int(x^(3/2)*(B*x+A)*((b*x+a)^2)^(1/2),x)","\frac{2 \left(35 B b \,x^{2}+45 A b x +45 B a x +63 A a \right) \sqrt{\left(b x +a \right)^{2}}\, x^{\frac{5}{2}}}{315 \left(b x +a \right)}"," ",0,"2/315*x^(5/2)*(35*B*b*x^2+45*A*b*x+45*B*a*x+63*A*a)*((b*x+a)^2)^(1/2)/(b*x+a)","A"
785,1,44,75,0.052000," ","int((B*x+A)*x^(1/2)*((b*x+a)^2)^(1/2),x)","\frac{2 \left(15 B b \,x^{2}+21 A b x +21 B a x +35 A a \right) \sqrt{\left(b x +a \right)^{2}}\, x^{\frac{3}{2}}}{105 \left(b x +a \right)}"," ",0,"2/105*x^(3/2)*(15*B*b*x^2+21*A*b*x+21*B*a*x+35*A*a)*((b*x+a)^2)^(1/2)/(b*x+a)","A"
786,1,44,75,0.049000," ","int((B*x+A)*((b*x+a)^2)^(1/2)/x^(1/2),x)","\frac{2 \left(3 B b \,x^{2}+5 A b x +5 B a x +15 A a \right) \sqrt{\left(b x +a \right)^{2}}\, \sqrt{x}}{15 \left(b x +a \right)}"," ",0,"2/15*x^(1/2)*(3*B*b*x^2+5*A*b*x+5*B*a*x+15*A*a)*((b*x+a)^2)^(1/2)/(b*x+a)","A"
787,1,44,75,0.051000," ","int((B*x+A)*((b*x+a)^2)^(1/2)/x^(3/2),x)","-\frac{2 \left(-B b \,x^{2}-3 A b x -3 B a x +3 A a \right) \sqrt{\left(b x +a \right)^{2}}}{3 \left(b x +a \right) \sqrt{x}}"," ",0,"-2/3*(-B*b*x^2-3*A*b*x-3*B*a*x+3*A*a)*((b*x+a)^2)^(1/2)/x^(1/2)/(b*x+a)","A"
788,1,43,75,0.054000," ","int((B*x+A)*((b*x+a)^2)^(1/2)/x^(5/2),x)","-\frac{2 \left(-3 B b \,x^{2}+3 A b x +3 B a x +A a \right) \sqrt{\left(b x +a \right)^{2}}}{3 \left(b x +a \right) x^{\frac{3}{2}}}"," ",0,"-2/3*(-3*B*b*x^2+3*A*b*x+3*B*a*x+A*a)*((b*x+a)^2)^(1/2)/x^(3/2)/(b*x+a)","A"
789,1,44,75,0.058000," ","int((B*x+A)*((b*x+a)^2)^(1/2)/x^(7/2),x)","-\frac{2 \left(15 B b \,x^{2}+5 A b x +5 B a x +3 A a \right) \sqrt{\left(b x +a \right)^{2}}}{15 \left(b x +a \right) x^{\frac{5}{2}}}"," ",0,"-2/15*(15*B*b*x^2+5*A*b*x+5*B*a*x+3*A*a)*((b*x+a)^2)^(1/2)/x^(5/2)/(b*x+a)","A"
790,1,44,75,0.049000," ","int((B*x+A)*((b*x+a)^2)^(1/2)/x^(9/2),x)","-\frac{2 \left(35 B b \,x^{2}+21 A b x +21 B a x +15 A a \right) \sqrt{\left(b x +a \right)^{2}}}{105 \left(b x +a \right) x^{\frac{7}{2}}}"," ",0,"-2/105*(35*B*b*x^2+21*A*b*x+21*B*a*x+15*A*a)*((b*x+a)^2)^(1/2)/x^(7/2)/(b*x+a)","A"
791,1,92,145,0.054000," ","int(x^(7/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{2 \left(6435 B \,b^{3} x^{4}+7293 A \,b^{3} x^{3}+21879 B a \,b^{2} x^{3}+25245 A a \,b^{2} x^{2}+25245 B \,a^{2} b \,x^{2}+29835 A \,a^{2} b x +9945 B \,a^{3} x +12155 A \,a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} x^{\frac{9}{2}}}{109395 \left(b x +a \right)^{3}}"," ",0,"2/109395*x^(9/2)*(6435*B*b^3*x^4+7293*A*b^3*x^3+21879*B*a*b^2*x^3+25245*A*a*b^2*x^2+25245*B*a^2*b*x^2+29835*A*a^2*b*x+9945*B*a^3*x+12155*A*a^3)*((b*x+a)^2)^(3/2)/(b*x+a)^3","A"
792,1,92,145,0.049000," ","int(x^(5/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{2 \left(3003 B \,b^{3} x^{4}+3465 A \,b^{3} x^{3}+10395 B a \,b^{2} x^{3}+12285 A a \,b^{2} x^{2}+12285 B \,a^{2} b \,x^{2}+15015 A \,a^{2} b x +5005 B \,a^{3} x +6435 A \,a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} x^{\frac{7}{2}}}{45045 \left(b x +a \right)^{3}}"," ",0,"2/45045*x^(7/2)*(3003*B*b^3*x^4+3465*A*b^3*x^3+10395*B*a*b^2*x^3+12285*A*a*b^2*x^2+12285*B*a^2*b*x^2+15015*A*a^2*b*x+5005*B*a^3*x+6435*A*a^3)*((b*x+a)^2)^(3/2)/(b*x+a)^3","A"
793,1,92,145,0.053000," ","int(x^(3/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{2 \left(1155 B \,b^{3} x^{4}+1365 A \,b^{3} x^{3}+4095 B a \,b^{2} x^{3}+5005 A a \,b^{2} x^{2}+5005 B \,a^{2} b \,x^{2}+6435 A \,a^{2} b x +2145 B \,a^{3} x +3003 A \,a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} x^{\frac{5}{2}}}{15015 \left(b x +a \right)^{3}}"," ",0,"2/15015*x^(5/2)*(1155*B*b^3*x^4+1365*A*b^3*x^3+4095*B*a*b^2*x^3+5005*A*a*b^2*x^2+5005*B*a^2*b*x^2+6435*A*a^2*b*x+2145*B*a^3*x+3003*A*a^3)*((b*x+a)^2)^(3/2)/(b*x+a)^3","A"
794,1,92,145,0.056000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)*x^(1/2),x)","\frac{2 \left(315 B \,b^{3} x^{4}+385 A \,b^{3} x^{3}+1155 B a \,b^{2} x^{3}+1485 A a \,b^{2} x^{2}+1485 B \,a^{2} b \,x^{2}+2079 A \,a^{2} b x +693 B \,a^{3} x +1155 A \,a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} x^{\frac{3}{2}}}{3465 \left(b x +a \right)^{3}}"," ",0,"2/3465*x^(3/2)*(315*B*b^3*x^4+385*A*b^3*x^3+1155*B*a*b^2*x^3+1485*A*a*b^2*x^2+1485*B*a^2*b*x^2+2079*A*a^2*b*x+693*B*a^3*x+1155*A*a^3)*((b*x+a)^2)^(3/2)/(b*x+a)^3","A"
795,1,92,145,0.049000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^(1/2),x)","\frac{2 \left(35 B \,b^{3} x^{4}+45 A \,b^{3} x^{3}+135 B a \,b^{2} x^{3}+189 A a \,b^{2} x^{2}+189 B \,a^{2} b \,x^{2}+315 A \,a^{2} b x +105 B \,a^{3} x +315 A \,a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} \sqrt{x}}{315 \left(b x +a \right)^{3}}"," ",0,"2/315*x^(1/2)*(35*B*b^3*x^4+45*A*b^3*x^3+135*B*a*b^2*x^3+189*A*a*b^2*x^2+189*B*a^2*b*x^2+315*A*a^2*b*x+105*B*a^3*x+315*A*a^3)*((b*x+a)^2)^(3/2)/(b*x+a)^3","A"
796,1,92,145,0.050000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^(3/2),x)","-\frac{2 \left(-5 B \,b^{3} x^{4}-7 A \,b^{3} x^{3}-21 B a \,b^{2} x^{3}-35 A a \,b^{2} x^{2}-35 B \,a^{2} b \,x^{2}-105 A \,a^{2} b x -35 B \,a^{3} x +35 A \,a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{35 \left(b x +a \right)^{3} \sqrt{x}}"," ",0,"-2/35*(-5*B*b^3*x^4-7*A*b^3*x^3-21*B*a*b^2*x^3-35*A*a*b^2*x^2-35*B*a^2*b*x^2-105*A*a^2*b*x-35*B*a^3*x+35*A*a^3)*((b*x+a)^2)^(3/2)/x^(1/2)/(b*x+a)^3","A"
797,1,92,145,0.048000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^(5/2),x)","-\frac{2 \left(-3 B \,b^{3} x^{4}-5 A \,b^{3} x^{3}-15 B a \,b^{2} x^{3}-45 A a \,b^{2} x^{2}-45 B \,a^{2} b \,x^{2}+45 A \,a^{2} b x +15 B \,a^{3} x +5 A \,a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{15 \left(b x +a \right)^{3} x^{\frac{3}{2}}}"," ",0,"-2/15*(-3*B*b^3*x^4-5*A*b^3*x^3-15*B*a*b^2*x^3-45*A*a*b^2*x^2-45*B*a^2*b*x^2+45*A*a^2*b*x+15*B*a^3*x+5*A*a^3)*((b*x+a)^2)^(3/2)/x^(3/2)/(b*x+a)^3","A"
798,1,92,145,0.067000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^(7/2),x)","-\frac{2 \left(-5 B \,b^{3} x^{4}-15 A \,b^{3} x^{3}-45 B a \,b^{2} x^{3}+45 A a \,b^{2} x^{2}+45 B \,a^{2} b \,x^{2}+15 A \,a^{2} b x +5 B \,a^{3} x +3 A \,a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{15 \left(b x +a \right)^{3} x^{\frac{5}{2}}}"," ",0,"-2/15*(-5*B*b^3*x^4-15*A*b^3*x^3-45*B*a*b^2*x^3+45*A*a*b^2*x^2+45*B*a^2*b*x^2+15*A*a^2*b*x+5*B*a^3*x+3*A*a^3)*((b*x+a)^2)^(3/2)/x^(5/2)/(b*x+a)^3","A"
799,1,92,145,0.059000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^(9/2),x)","-\frac{2 \left(-35 B \,b^{3} x^{4}+35 A \,b^{3} x^{3}+105 B a \,b^{2} x^{3}+35 A a \,b^{2} x^{2}+35 B \,a^{2} b \,x^{2}+21 A \,a^{2} b x +7 B \,a^{3} x +5 A \,a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{35 \left(b x +a \right)^{3} x^{\frac{7}{2}}}"," ",0,"-2/35*(-35*B*b^3*x^4+35*A*b^3*x^3+105*B*a*b^2*x^3+35*A*a*b^2*x^2+35*B*a^2*b*x^2+21*A*a^2*b*x+7*B*a^3*x+5*A*a^3)*((b*x+a)^2)^(3/2)/x^(7/2)/(b*x+a)^3","A"
800,1,140,215,0.054000," ","int(x^(7/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{2 \left(138567 B \,b^{5} x^{6}+153153 A \,b^{5} x^{5}+765765 B a \,b^{4} x^{5}+855855 A a \,b^{4} x^{4}+1711710 B \,a^{2} b^{3} x^{4}+1939938 A \,a^{2} b^{3} x^{3}+1939938 B \,a^{3} b^{2} x^{3}+2238390 A \,a^{3} b^{2} x^{2}+1119195 B \,a^{4} b \,x^{2}+1322685 A \,a^{4} b x +264537 B \,a^{5} x +323323 A \,a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x^{\frac{9}{2}}}{2909907 \left(b x +a \right)^{5}}"," ",0,"2/2909907*x^(9/2)*(138567*B*b^5*x^6+153153*A*b^5*x^5+765765*B*a*b^4*x^5+855855*A*a*b^4*x^4+1711710*B*a^2*b^3*x^4+1939938*A*a^2*b^3*x^3+1939938*B*a^3*b^2*x^3+2238390*A*a^3*b^2*x^2+1119195*B*a^4*b*x^2+1322685*A*a^4*b*x+264537*B*a^5*x+323323*A*a^5)*((b*x+a)^2)^(5/2)/(b*x+a)^5","A"
801,1,140,215,0.051000," ","int(x^(5/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{2 \left(153153 B \,b^{5} x^{6}+171171 A \,b^{5} x^{5}+855855 B a \,b^{4} x^{5}+969969 A a \,b^{4} x^{4}+1939938 B \,a^{2} b^{3} x^{4}+2238390 A \,a^{2} b^{3} x^{3}+2238390 B \,a^{3} b^{2} x^{3}+2645370 A \,a^{3} b^{2} x^{2}+1322685 B \,a^{4} b \,x^{2}+1616615 A \,a^{4} b x +323323 B \,a^{5} x +415701 A \,a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x^{\frac{7}{2}}}{2909907 \left(b x +a \right)^{5}}"," ",0,"2/2909907*x^(7/2)*(153153*B*b^5*x^6+171171*A*b^5*x^5+855855*B*a*b^4*x^5+969969*A*a*b^4*x^4+1939938*B*a^2*b^3*x^4+2238390*A*a^2*b^3*x^3+2238390*B*a^3*b^2*x^3+2645370*A*a^3*b^2*x^2+1322685*B*a^4*b*x^2+1616615*A*a^4*b*x+323323*B*a^5*x+415701*A*a^5)*((b*x+a)^2)^(5/2)/(b*x+a)^5","A"
802,1,140,215,0.051000," ","int(x^(3/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{2 \left(45045 B \,b^{5} x^{6}+51051 A \,b^{5} x^{5}+255255 B a \,b^{4} x^{5}+294525 A a \,b^{4} x^{4}+589050 B \,a^{2} b^{3} x^{4}+696150 A \,a^{2} b^{3} x^{3}+696150 B \,a^{3} b^{2} x^{3}+850850 A \,a^{3} b^{2} x^{2}+425425 B \,a^{4} b \,x^{2}+546975 A \,a^{4} b x +109395 B \,a^{5} x +153153 A \,a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x^{\frac{5}{2}}}{765765 \left(b x +a \right)^{5}}"," ",0,"2/765765*x^(5/2)*(45045*B*b^5*x^6+51051*A*b^5*x^5+255255*B*a*b^4*x^5+294525*A*a*b^4*x^4+589050*B*a^2*b^3*x^4+696150*A*a^2*b^3*x^3+696150*B*a^3*b^2*x^3+850850*A*a^3*b^2*x^2+425425*B*a^4*b*x^2+546975*A*a^4*b*x+109395*B*a^5*x+153153*A*a^5)*((b*x+a)^2)^(5/2)/(b*x+a)^5","A"
803,1,140,215,0.050000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)*x^(1/2),x)","\frac{2 \left(3003 B \,b^{5} x^{6}+3465 A \,b^{5} x^{5}+17325 B a \,b^{4} x^{5}+20475 A a \,b^{4} x^{4}+40950 B \,a^{2} b^{3} x^{4}+50050 A \,a^{2} b^{3} x^{3}+50050 B \,a^{3} b^{2} x^{3}+64350 A \,a^{3} b^{2} x^{2}+32175 B \,a^{4} b \,x^{2}+45045 A \,a^{4} b x +9009 B \,a^{5} x +15015 A \,a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x^{\frac{3}{2}}}{45045 \left(b x +a \right)^{5}}"," ",0,"2/45045*x^(3/2)*(3003*B*b^5*x^6+3465*A*b^5*x^5+17325*B*a*b^4*x^5+20475*A*a*b^4*x^4+40950*B*a^2*b^3*x^4+50050*A*a^2*b^3*x^3+50050*B*a^3*b^2*x^3+64350*A*a^3*b^2*x^2+32175*B*a^4*b*x^2+45045*A*a^4*b*x+9009*B*a^5*x+15015*A*a^5)*((b*x+a)^2)^(5/2)/(b*x+a)^5","A"
804,1,140,215,0.050000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^(1/2),x)","\frac{2 \left(693 B \,b^{5} x^{6}+819 A \,b^{5} x^{5}+4095 B a \,b^{4} x^{5}+5005 A a \,b^{4} x^{4}+10010 B \,a^{2} b^{3} x^{4}+12870 A \,a^{2} b^{3} x^{3}+12870 B \,a^{3} b^{2} x^{3}+18018 A \,a^{3} b^{2} x^{2}+9009 B \,a^{4} b \,x^{2}+15015 A \,a^{4} b x +3003 B \,a^{5} x +9009 A \,a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} \sqrt{x}}{9009 \left(b x +a \right)^{5}}"," ",0,"2/9009*x^(1/2)*(693*B*b^5*x^6+819*A*b^5*x^5+4095*B*a*b^4*x^5+5005*A*a*b^4*x^4+10010*B*a^2*b^3*x^4+12870*A*a^2*b^3*x^3+12870*B*a^3*b^2*x^3+18018*A*a^3*b^2*x^2+9009*B*a^4*b*x^2+15015*A*a^4*b*x+3003*B*a^5*x+9009*A*a^5)*((b*x+a)^2)^(5/2)/(b*x+a)^5","A"
805,1,140,215,0.059000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^(3/2),x)","-\frac{2 \left(-63 B \,b^{5} x^{6}-77 A \,b^{5} x^{5}-385 B a \,b^{4} x^{5}-495 A a \,b^{4} x^{4}-990 B \,a^{2} b^{3} x^{4}-1386 A \,a^{2} b^{3} x^{3}-1386 B \,a^{3} b^{2} x^{3}-2310 A \,a^{3} b^{2} x^{2}-1155 B \,a^{4} b \,x^{2}-3465 A \,a^{4} b x -693 B \,a^{5} x +693 A \,a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{693 \left(b x +a \right)^{5} \sqrt{x}}"," ",0,"-2/693*(-63*B*b^5*x^6-77*A*b^5*x^5-385*B*a*b^4*x^5-495*A*a*b^4*x^4-990*B*a^2*b^3*x^4-1386*A*a^2*b^3*x^3-1386*B*a^3*b^2*x^3-2310*A*a^3*b^2*x^2-1155*B*a^4*b*x^2-3465*A*a^4*b*x-693*B*a^5*x+693*A*a^5)*((b*x+a)^2)^(5/2)/x^(1/2)/(b*x+a)^5","A"
806,1,140,215,0.056000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^(5/2),x)","-\frac{2 \left(-7 B \,b^{5} x^{6}-9 A \,b^{5} x^{5}-45 B a \,b^{4} x^{5}-63 A a \,b^{4} x^{4}-126 B \,a^{2} b^{3} x^{4}-210 A \,a^{2} b^{3} x^{3}-210 B \,a^{3} b^{2} x^{3}-630 A \,a^{3} b^{2} x^{2}-315 B \,a^{4} b \,x^{2}+315 A \,a^{4} b x +63 B \,a^{5} x +21 A \,a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{63 \left(b x +a \right)^{5} x^{\frac{3}{2}}}"," ",0,"-2/63*(-7*B*b^5*x^6-9*A*b^5*x^5-45*B*a*b^4*x^5-63*A*a*b^4*x^4-126*B*a^2*b^3*x^4-210*A*a^2*b^3*x^3-210*B*a^3*b^2*x^3-630*A*a^3*b^2*x^2-315*B*a^4*b*x^2+315*A*a^4*b*x+63*B*a^5*x+21*A*a^5)*((b*x+a)^2)^(5/2)/x^(3/2)/(b*x+a)^5","A"
807,1,140,215,0.052000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^(7/2),x)","-\frac{2 \left(-15 B \,b^{5} x^{6}-21 A \,b^{5} x^{5}-105 B a \,b^{4} x^{5}-175 A a \,b^{4} x^{4}-350 B \,a^{2} b^{3} x^{4}-1050 A \,a^{2} b^{3} x^{3}-1050 B \,a^{3} b^{2} x^{3}+1050 A \,a^{3} b^{2} x^{2}+525 B \,a^{4} b \,x^{2}+175 A \,a^{4} b x +35 B \,a^{5} x +21 A \,a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{105 \left(b x +a \right)^{5} x^{\frac{5}{2}}}"," ",0,"-2/105*(-15*B*b^5*x^6-21*A*b^5*x^5-105*B*a*b^4*x^5-175*A*a*b^4*x^4-350*B*a^2*b^3*x^4-1050*A*a^2*b^3*x^3-1050*B*a^3*b^2*x^3+1050*A*a^3*b^2*x^2+525*B*a^4*b*x^2+175*A*a^4*b*x+35*B*a^5*x+21*A*a^5)*((b*x+a)^2)^(5/2)/x^(5/2)/(b*x+a)^5","A"
808,1,140,215,0.052000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^(9/2),x)","-\frac{2 \left(-21 B \,b^{5} x^{6}-35 A \,b^{5} x^{5}-175 B a \,b^{4} x^{5}-525 A a \,b^{4} x^{4}-1050 B \,a^{2} b^{3} x^{4}+1050 A \,a^{2} b^{3} x^{3}+1050 B \,a^{3} b^{2} x^{3}+350 A \,a^{3} b^{2} x^{2}+175 B \,a^{4} b \,x^{2}+105 A \,a^{4} b x +21 B \,a^{5} x +15 A \,a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{105 \left(b x +a \right)^{5} x^{\frac{7}{2}}}"," ",0,"-2/105*(-21*B*b^5*x^6-35*A*b^5*x^5-175*B*a*b^4*x^5-525*A*a*b^4*x^4-1050*B*a^2*b^3*x^4+1050*A*a^2*b^3*x^3+1050*B*a^3*b^2*x^3+350*A*a^3*b^2*x^2+175*B*a^4*b*x^2+105*A*a^4*b*x+21*B*a^5*x+15*A*a^5)*((b*x+a)^2)^(5/2)/x^(7/2)/(b*x+a)^5","A"
809,1,197,192,0.061000," ","int(x^(7/2)*(B*x+A)/((b*x+a)^2)^(1/2),x)","\frac{2 \left(b x +a \right) \left(35 \sqrt{a b}\, B \,b^{4} x^{\frac{9}{2}}+45 \sqrt{a b}\, A \,b^{4} x^{\frac{7}{2}}-45 \sqrt{a b}\, B a \,b^{3} x^{\frac{7}{2}}-63 \sqrt{a b}\, A a \,b^{3} x^{\frac{5}{2}}+63 \sqrt{a b}\, B \,a^{2} b^{2} x^{\frac{5}{2}}+315 A \,a^{4} b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-315 B \,a^{5} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+105 \sqrt{a b}\, A \,a^{2} b^{2} x^{\frac{3}{2}}-105 \sqrt{a b}\, B \,a^{3} b \,x^{\frac{3}{2}}-315 \sqrt{a b}\, A \,a^{3} b \sqrt{x}+315 \sqrt{a b}\, B \,a^{4} \sqrt{x}\right)}{315 \sqrt{\left(b x +a \right)^{2}}\, \sqrt{a b}\, b^{5}}"," ",0,"2/315*(b*x+a)*(35*B*x^(9/2)*(a*b)^(1/2)*b^4+45*A*x^(7/2)*(a*b)^(1/2)*b^4-45*B*x^(7/2)*(a*b)^(1/2)*a*b^3-63*A*x^(5/2)*(a*b)^(1/2)*a*b^3+63*B*x^(5/2)*(a*b)^(1/2)*a^2*b^2+105*A*x^(3/2)*(a*b)^(1/2)*a^2*b^2-105*B*x^(3/2)*(a*b)^(1/2)*a^3*b-315*A*x^(1/2)*(a*b)^(1/2)*a^3*b+315*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a^4*b+315*B*x^(1/2)*(a*b)^(1/2)*a^4-315*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a^5)/((b*x+a)^2)^(1/2)/b^5/(a*b)^(1/2)","A"
810,1,163,159,0.073000," ","int(x^(5/2)*(B*x+A)/((b*x+a)^2)^(1/2),x)","\frac{2 \left(b x +a \right) \left(15 \sqrt{a b}\, B \,b^{3} x^{\frac{7}{2}}+21 \sqrt{a b}\, A \,b^{3} x^{\frac{5}{2}}-21 \sqrt{a b}\, B a \,b^{2} x^{\frac{5}{2}}-105 A \,a^{3} b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+105 B \,a^{4} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-35 \sqrt{a b}\, A a \,b^{2} x^{\frac{3}{2}}+35 \sqrt{a b}\, B \,a^{2} b \,x^{\frac{3}{2}}+105 \sqrt{a b}\, A \,a^{2} b \sqrt{x}-105 \sqrt{a b}\, B \,a^{3} \sqrt{x}\right)}{105 \sqrt{\left(b x +a \right)^{2}}\, \sqrt{a b}\, b^{4}}"," ",0,"2/105*(b*x+a)*(15*B*x^(7/2)*(a*b)^(1/2)*b^3+21*A*x^(5/2)*(a*b)^(1/2)*b^3-21*B*x^(5/2)*(a*b)^(1/2)*a*b^2-35*A*x^(3/2)*(a*b)^(1/2)*a*b^2+35*B*x^(3/2)*(a*b)^(1/2)*a^2*b+105*A*x^(1/2)*(a*b)^(1/2)*a^2*b-105*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a^3*b-105*B*x^(1/2)*(a*b)^(1/2)*a^3+105*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a^4)/((b*x+a)^2)^(1/2)/b^4/(a*b)^(1/2)","A"
811,1,129,126,0.060000," ","int(x^(3/2)*(B*x+A)/((b*x+a)^2)^(1/2),x)","\frac{2 \left(b x +a \right) \left(3 \sqrt{a b}\, B \,b^{2} x^{\frac{5}{2}}+15 A \,a^{2} b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-15 B \,a^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+5 \sqrt{a b}\, A \,b^{2} x^{\frac{3}{2}}-5 \sqrt{a b}\, B a b \,x^{\frac{3}{2}}-15 \sqrt{a b}\, A a b \sqrt{x}+15 \sqrt{a b}\, B \,a^{2} \sqrt{x}\right)}{15 \sqrt{\left(b x +a \right)^{2}}\, \sqrt{a b}\, b^{3}}"," ",0,"2/15*(b*x+a)*(3*B*x^(5/2)*(a*b)^(1/2)*b^2+5*A*x^(3/2)*(a*b)^(1/2)*b^2-5*B*x^(3/2)*(a*b)^(1/2)*a*b-15*A*x^(1/2)*(a*b)^(1/2)*a*b+15*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a^2*b+15*B*x^(1/2)*(a*b)^(1/2)*a^2-15*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a^3)/((b*x+a)^2)^(1/2)/b^3/(a*b)^(1/2)","A"
812,1,94,95,0.066000," ","int((B*x+A)*x^(1/2)/((b*x+a)^2)^(1/2),x)","\frac{2 \left(b x +a \right) \left(-3 A a b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+3 B \,a^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+\sqrt{a b}\, B b \,x^{\frac{3}{2}}+3 \sqrt{a b}\, A b \sqrt{x}-3 \sqrt{a b}\, B a \sqrt{x}\right)}{3 \sqrt{\left(b x +a \right)^{2}}\, \sqrt{a b}\, b^{2}}"," ",0,"2/3*(b*x+a)*(B*x^(3/2)*(a*b)^(1/2)*b+3*A*x^(1/2)*(a*b)^(1/2)*b-3*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a*b-3*B*x^(1/2)*(a*b)^(1/2)*a+3*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a^2)/((b*x+a)^2)^(1/2)/b^2/(a*b)^(1/2)","A"
813,1,65,65,0.057000," ","int((B*x+A)/x^(1/2)/((b*x+a)^2)^(1/2),x)","\frac{2 \left(b x +a \right) \left(A b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-B a \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+\sqrt{a b}\, B \sqrt{x}\right)}{\sqrt{\left(b x +a \right)^{2}}\, \sqrt{a b}\, b}"," ",0,"2*(b*x+a)*(A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*b+B*x^(1/2)*(a*b)^(1/2)-B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a)/((b*x+a)^2)^(1/2)/b/(a*b)^(1/2)","A"
814,1,71,65,0.064000," ","int((B*x+A)/x^(3/2)/((b*x+a)^2)^(1/2),x)","-\frac{2 \left(b x +a \right) \left(A b \sqrt{x}\, \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-B a \sqrt{x}\, \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+\sqrt{a b}\, A \right)}{\sqrt{\left(b x +a \right)^{2}}\, \sqrt{a b}\, a \sqrt{x}}"," ",0,"-2*(b*x+a)*(A*x^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*b-B*x^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a+A*(a*b)^(1/2))/((b*x+a)^2)^(1/2)/a/(a*b)^(1/2)/x^(1/2)","A"
815,1,97,95,0.064000," ","int((B*x+A)/x^(5/2)/((b*x+a)^2)^(1/2),x)","\frac{2 \left(b x +a \right) \left(3 A \,b^{2} x^{\frac{3}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-3 B a b \,x^{\frac{3}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+3 \sqrt{a b}\, A b x -3 \sqrt{a b}\, B a x -\sqrt{a b}\, A a \right)}{3 \sqrt{\left(b x +a \right)^{2}}\, \sqrt{a b}\, a^{2} x^{\frac{3}{2}}}"," ",0,"2/3*(b*x+a)*(3*A*x^(3/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*b^2-3*B*x^(3/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a*b+3*A*x*(a*b)^(1/2)*b-3*B*x*(a*b)^(1/2)*a-A*a*(a*b)^(1/2))/((b*x+a)^2)^(1/2)/a^2/(a*b)^(1/2)/x^(3/2)","A"
816,1,131,126,0.064000," ","int((B*x+A)/x^(7/2)/((b*x+a)^2)^(1/2),x)","-\frac{2 \left(b x +a \right) \left(15 A \,b^{3} x^{\frac{5}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-15 B a \,b^{2} x^{\frac{5}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+15 \sqrt{a b}\, A \,b^{2} x^{2}-15 \sqrt{a b}\, B a b \,x^{2}-5 \sqrt{a b}\, A a b x +5 \sqrt{a b}\, B \,a^{2} x +3 \sqrt{a b}\, A \,a^{2}\right)}{15 \sqrt{\left(b x +a \right)^{2}}\, \sqrt{a b}\, a^{3} x^{\frac{5}{2}}}"," ",0,"-2/15*(b*x+a)*(15*A*x^(5/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*b^3-15*B*x^(5/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a*b^2+15*A*x^2*(a*b)^(1/2)*b^2-15*B*x^2*(a*b)^(1/2)*a*b-5*A*x*(a*b)^(1/2)*a*b+5*B*x*(a*b)^(1/2)*a^2+3*A*a^2*(a*b)^(1/2))/((b*x+a)^2)^(1/2)/a^3/(a*b)^(1/2)/x^(5/2)","A"
817,1,165,159,0.074000," ","int((B*x+A)/x^(9/2)/((b*x+a)^2)^(1/2),x)","\frac{2 \left(b x +a \right) \left(105 A \,b^{4} x^{\frac{7}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-105 B a \,b^{3} x^{\frac{7}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+105 \sqrt{a b}\, A \,b^{3} x^{3}-105 \sqrt{a b}\, B a \,b^{2} x^{3}-35 \sqrt{a b}\, A a \,b^{2} x^{2}+35 \sqrt{a b}\, B \,a^{2} b \,x^{2}+21 \sqrt{a b}\, A \,a^{2} b x -21 \sqrt{a b}\, B \,a^{3} x -15 \sqrt{a b}\, A \,a^{3}\right)}{105 \sqrt{\left(b x +a \right)^{2}}\, \sqrt{a b}\, a^{4} x^{\frac{7}{2}}}"," ",0,"2/105*(b*x+a)*(105*A*x^(7/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*b^4-105*B*x^(7/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a*b^3+105*A*x^3*(a*b)^(1/2)*b^3-105*B*x^3*(a*b)^(1/2)*a*b^2-35*A*x^2*(a*b)^(1/2)*a*b^2+35*B*x^2*(a*b)^(1/2)*a^2*b+21*A*x*(a*b)^(1/2)*a^2*b-21*B*x*(a*b)^(1/2)*a^3-15*A*a^3*(a*b)^(1/2))/((b*x+a)^2)^(1/2)/a^4/(a*b)^(1/2)/x^(7/2)","A"
818,1,283,204,0.074000," ","int(x^(7/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(24 \sqrt{a b}\, B \,b^{4} x^{\frac{9}{2}}+525 A \,a^{2} b^{3} x^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-945 B \,a^{3} b^{2} x^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+40 \sqrt{a b}\, A \,b^{4} x^{\frac{7}{2}}-72 \sqrt{a b}\, B a \,b^{3} x^{\frac{7}{2}}+1050 A \,a^{3} b^{2} x \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-1890 B \,a^{4} b x \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-280 \sqrt{a b}\, A a \,b^{3} x^{\frac{5}{2}}+504 \sqrt{a b}\, B \,a^{2} b^{2} x^{\frac{5}{2}}+525 A \,a^{4} b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-945 B \,a^{5} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-875 \sqrt{a b}\, A \,a^{2} b^{2} x^{\frac{3}{2}}+1575 \sqrt{a b}\, B \,a^{3} b \,x^{\frac{3}{2}}-525 \sqrt{a b}\, A \,a^{3} b \sqrt{x}+945 \sqrt{a b}\, B \,a^{4} \sqrt{x}\right) \left(b x +a \right)}{60 \sqrt{a b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b^{5}}"," ",0,"1/60*(24*(a*b)^(1/2)*B*b^4*x^(9/2)-72*(a*b)^(1/2)*B*a*b^3*x^(7/2)+40*(a*b)^(1/2)*A*b^4*x^(7/2)+504*(a*b)^(1/2)*B*a^2*b^2*x^(5/2)-280*(a*b)^(1/2)*A*a*b^3*x^(5/2)-875*(a*b)^(1/2)*A*a^2*b^2*x^(3/2)+525*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^2*a^2*b^3+1575*(a*b)^(1/2)*B*a^3*b*x^(3/2)-945*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^2*a^3*b^2+1050*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x*a^3*b^2-1890*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x*a^4*b-525*(a*b)^(1/2)*A*a^3*b*x^(1/2)+525*A*a^4*b*arctan(1/(a*b)^(1/2)*b*x^(1/2))+945*(a*b)^(1/2)*B*a^4*x^(1/2)-945*B*a^5*arctan(1/(a*b)^(1/2)*b*x^(1/2)))*(b*x+a)/(a*b)^(1/2)/b^5/((b*x+a)^2)^(3/2)","A"
819,1,247,172,0.070000," ","int(x^(5/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(-45 A a \,b^{3} x^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+105 B \,a^{2} b^{2} x^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+8 \sqrt{a b}\, B \,b^{3} x^{\frac{7}{2}}-90 A \,a^{2} b^{2} x \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+210 B \,a^{3} b x \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+24 \sqrt{a b}\, A \,b^{3} x^{\frac{5}{2}}-56 \sqrt{a b}\, B a \,b^{2} x^{\frac{5}{2}}-45 A \,a^{3} b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+105 B \,a^{4} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+75 \sqrt{a b}\, A a \,b^{2} x^{\frac{3}{2}}-175 \sqrt{a b}\, B \,a^{2} b \,x^{\frac{3}{2}}+45 \sqrt{a b}\, A \,a^{2} b \sqrt{x}-105 \sqrt{a b}\, B \,a^{3} \sqrt{x}\right) \left(b x +a \right)}{12 \sqrt{a b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b^{4}}"," ",0,"1/12*(8*(a*b)^(1/2)*B*b^3*x^(7/2)-56*(a*b)^(1/2)*B*a*b^2*x^(5/2)+75*(a*b)^(1/2)*A*a*b^2*x^(3/2)+24*(a*b)^(1/2)*A*b^3*x^(5/2)-45*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^2*a*b^3-175*(a*b)^(1/2)*B*a^2*b*x^(3/2)+105*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^2*a^2*b^2-90*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x*a^2*b^2+210*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x*a^3*b+45*(a*b)^(1/2)*A*a^2*b*x^(1/2)-45*A*a^3*b*arctan(1/(a*b)^(1/2)*b*x^(1/2))-105*(a*b)^(1/2)*B*a^3*x^(1/2)+105*B*a^4*arctan(1/(a*b)^(1/2)*b*x^(1/2)))*(b*x+a)/(a*b)^(1/2)/b^4/((b*x+a)^2)^(3/2)","A"
820,1,208,138,0.067000," ","int(x^(3/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","-\frac{\left(-3 A \,b^{3} x^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+15 B a \,b^{2} x^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-6 A a \,b^{2} x \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+30 B \,a^{2} b x \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-8 \sqrt{a b}\, B \,b^{2} x^{\frac{5}{2}}-3 A \,a^{2} b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+15 B \,a^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+5 \sqrt{a b}\, A \,b^{2} x^{\frac{3}{2}}-25 \sqrt{a b}\, B a b \,x^{\frac{3}{2}}+3 \sqrt{a b}\, A a b \sqrt{x}-15 \sqrt{a b}\, B \,a^{2} \sqrt{x}\right) \left(b x +a \right)}{4 \sqrt{a b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b^{3}}"," ",0,"-1/4*(5*(a*b)^(1/2)*A*b^2*x^(3/2)-3*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^2*b^3-25*(a*b)^(1/2)*B*a*b*x^(3/2)-8*(a*b)^(1/2)*B*b^2*x^(5/2)+15*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^2*a*b^2-6*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x*a*b^2+30*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x*a^2*b+3*(a*b)^(1/2)*A*a*b*x^(1/2)-3*A*a^2*b*arctan(1/(a*b)^(1/2)*b*x^(1/2))-15*(a*b)^(1/2)*B*a^2*x^(1/2)+15*B*a^3*arctan(1/(a*b)^(1/2)*b*x^(1/2)))*(b*x+a)/(a*b)^(1/2)/b^3/((b*x+a)^2)^(3/2)","A"
821,1,194,105,0.070000," ","int((B*x+A)*x^(1/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(A \,b^{3} x^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+3 B a \,b^{2} x^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+2 A a \,b^{2} x \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+6 B \,a^{2} b x \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+A \,a^{2} b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+3 B \,a^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+\sqrt{a b}\, A \,b^{2} x^{\frac{3}{2}}-5 \sqrt{a b}\, B a b \,x^{\frac{3}{2}}-\sqrt{a b}\, A a b \sqrt{x}-3 \sqrt{a b}\, B \,a^{2} \sqrt{x}\right) \left(b x +a \right)}{4 \sqrt{a b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} a \,b^{2}}"," ",0,"1/4*((a*b)^(1/2)*A*b^2*x^(3/2)+A*b^3*x^2*arctan(1/(a*b)^(1/2)*b*x^(1/2))-5*(a*b)^(1/2)*B*a*b*x^(3/2)+3*B*a*b^2*x^2*arctan(1/(a*b)^(1/2)*b*x^(1/2))+2*A*a*b^2*x*arctan(1/(a*b)^(1/2)*b*x^(1/2))+6*B*a^2*b*x*arctan(1/(a*b)^(1/2)*b*x^(1/2))-(a*b)^(1/2)*A*a*b*x^(1/2)+A*a^2*b*arctan(1/(a*b)^(1/2)*b*x^(1/2))-3*(a*b)^(1/2)*B*a^2*x^(1/2)+3*B*a^3*arctan(1/(a*b)^(1/2)*b*x^(1/2)))*(b*x+a)/(a*b)^(1/2)/b^2/a/((b*x+a)^2)^(3/2)","A"
822,1,194,105,0.066000," ","int((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^(1/2),x)","\frac{\left(3 A \,b^{3} x^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+B a \,b^{2} x^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+6 A a \,b^{2} x \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+2 B \,a^{2} b x \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+3 A \,a^{2} b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+B \,a^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+3 \sqrt{a b}\, A \,b^{2} x^{\frac{3}{2}}+\sqrt{a b}\, B a b \,x^{\frac{3}{2}}+5 \sqrt{a b}\, A a b \sqrt{x}-\sqrt{a b}\, B \,a^{2} \sqrt{x}\right) \left(b x +a \right)}{4 \sqrt{a b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} a^{2} b}"," ",0,"1/4*(3*(a*b)^(1/2)*A*b^2*x^(3/2)+3*A*b^3*x^2*arctan(1/(a*b)^(1/2)*b*x^(1/2))+(a*b)^(1/2)*B*a*b*x^(3/2)+B*a*b^2*x^2*arctan(1/(a*b)^(1/2)*b*x^(1/2))+6*A*a*b^2*x*arctan(1/(a*b)^(1/2)*b*x^(1/2))+2*B*a^2*b*x*arctan(1/(a*b)^(1/2)*b*x^(1/2))+5*(a*b)^(1/2)*A*a*b*x^(1/2)+3*A*a^2*b*arctan(1/(a*b)^(1/2)*b*x^(1/2))-(a*b)^(1/2)*B*a^2*x^(1/2)+B*a^3*arctan(1/(a*b)^(1/2)*b*x^(1/2)))*(b*x+a)/(a*b)^(1/2)/b/a^2/((b*x+a)^2)^(3/2)","A"
823,1,214,141,0.073000," ","int((B*x+A)/x^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","-\frac{\left(15 A \,b^{3} x^{\frac{5}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-3 B a \,b^{2} x^{\frac{5}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+30 A a \,b^{2} x^{\frac{3}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-6 B \,a^{2} b \,x^{\frac{3}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+15 A \,a^{2} b \sqrt{x}\, \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-3 B \,a^{3} \sqrt{x}\, \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+15 \sqrt{a b}\, A \,b^{2} x^{2}-3 \sqrt{a b}\, B a b \,x^{2}+25 \sqrt{a b}\, A a b x -5 \sqrt{a b}\, B \,a^{2} x +8 \sqrt{a b}\, A \,a^{2}\right) \left(b x +a \right)}{4 \sqrt{a b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} a^{3} \sqrt{x}}"," ",0,"-1/4*(15*(a*b)^(1/2)*A*b^2*x^2+15*A*b^3*x^(5/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))-3*(a*b)^(1/2)*B*a*b*x^2-3*B*a*b^2*x^(5/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))+30*A*x^(3/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a*b^2-6*B*x^(3/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a^2*b+25*(a*b)^(1/2)*A*a*b*x+15*A*x^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a^2*b-5*(a*b)^(1/2)*B*a^2*x-3*B*x^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a^3+8*(a*b)^(1/2)*A*a^2)*(b*x+a)/x^(1/2)/(a*b)^(1/2)/a^3/((b*x+a)^2)^(3/2)","A"
824,1,253,172,0.069000," ","int((B*x+A)/x^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(105 A \,b^{4} x^{\frac{7}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-45 B a \,b^{3} x^{\frac{7}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+210 A a \,b^{3} x^{\frac{5}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-90 B \,a^{2} b^{2} x^{\frac{5}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+105 A \,a^{2} b^{2} x^{\frac{3}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-45 B \,a^{3} b \,x^{\frac{3}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+105 \sqrt{a b}\, A \,b^{3} x^{3}-45 \sqrt{a b}\, B a \,b^{2} x^{3}+175 \sqrt{a b}\, A a \,b^{2} x^{2}-75 \sqrt{a b}\, B \,a^{2} b \,x^{2}+56 \sqrt{a b}\, A \,a^{2} b x -24 \sqrt{a b}\, B \,a^{3} x -8 \sqrt{a b}\, A \,a^{3}\right) \left(b x +a \right)}{12 \sqrt{a b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} a^{4} x^{\frac{3}{2}}}"," ",0,"1/12*(105*(a*b)^(1/2)*A*b^3*x^3+105*A*b^4*x^(7/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))-45*(a*b)^(1/2)*B*a*b^2*x^3-45*B*a*b^3*x^(7/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))+210*A*x^(5/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a*b^3-90*B*x^(5/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a^2*b^2+175*(a*b)^(1/2)*A*a*b^2*x^2+105*A*x^(3/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a^2*b^2-75*(a*b)^(1/2)*B*a^2*b*x^2-45*B*x^(3/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a^3*b+56*(a*b)^(1/2)*A*a^2*b*x-24*(a*b)^(1/2)*B*a^3*x-8*(a*b)^(1/2)*A*a^3)*(b*x+a)/x^(3/2)/(a*b)^(1/2)/a^4/((b*x+a)^2)^(3/2)","A"
825,1,289,204,0.069000," ","int((B*x+A)/x^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","-\frac{\left(945 A \,b^{5} x^{\frac{9}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-525 B a \,b^{4} x^{\frac{9}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+1890 A a \,b^{4} x^{\frac{7}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-1050 B \,a^{2} b^{3} x^{\frac{7}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+945 A \,a^{2} b^{3} x^{\frac{5}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-525 B \,a^{3} b^{2} x^{\frac{5}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+945 \sqrt{a b}\, A \,b^{4} x^{4}-525 \sqrt{a b}\, B a \,b^{3} x^{4}+1575 \sqrt{a b}\, A a \,b^{3} x^{3}-875 \sqrt{a b}\, B \,a^{2} b^{2} x^{3}+504 \sqrt{a b}\, A \,a^{2} b^{2} x^{2}-280 \sqrt{a b}\, B \,a^{3} b \,x^{2}-72 \sqrt{a b}\, A \,a^{3} b x +40 \sqrt{a b}\, B \,a^{4} x +24 \sqrt{a b}\, A \,a^{4}\right) \left(b x +a \right)}{60 \sqrt{a b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} a^{5} x^{\frac{5}{2}}}"," ",0,"-1/60*(-1050*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(7/2)*a^2*b^3+1890*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(7/2)*a*b^4-525*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(9/2)*a*b^4-280*B*(a*b)^(1/2)*x^2*a^3*b-72*A*(a*b)^(1/2)*x*a^3*b+945*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(5/2)*a^2*b^3-875*B*(a*b)^(1/2)*x^3*a^2*b^2-525*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(5/2)*a^3*b^2+504*A*(a*b)^(1/2)*x^2*a^2*b^2+24*A*(a*b)^(1/2)*a^4+945*A*(a*b)^(1/2)*x^4*b^4+40*B*(a*b)^(1/2)*x*a^4+945*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(9/2)*b^5-525*B*(a*b)^(1/2)*x^4*a*b^3+1575*A*(a*b)^(1/2)*x^3*a*b^3)*(b*x+a)/x^(5/2)/(a*b)^(1/2)/a^5/((b*x+a)^2)^(3/2)","A"
826,1,443,276,0.097000," ","int(x^(11/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(384 \sqrt{a b}\, B \,b^{6} x^{\frac{13}{2}}+17325 A \,a^{2} b^{5} x^{4} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-45045 B \,a^{3} b^{4} x^{4} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+640 \sqrt{a b}\, A \,b^{6} x^{\frac{11}{2}}-1664 \sqrt{a b}\, B a \,b^{5} x^{\frac{11}{2}}+69300 A \,a^{3} b^{4} x^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-180180 B \,a^{4} b^{3} x^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-7040 \sqrt{a b}\, A a \,b^{5} x^{\frac{9}{2}}+18304 \sqrt{a b}\, B \,a^{2} b^{4} x^{\frac{9}{2}}+103950 A \,a^{4} b^{3} x^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-270270 B \,a^{5} b^{2} x^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-46035 \sqrt{a b}\, A \,a^{2} b^{4} x^{\frac{7}{2}}+119691 \sqrt{a b}\, B \,a^{3} b^{3} x^{\frac{7}{2}}+69300 A \,a^{5} b^{2} x \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-180180 B \,a^{6} b x \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-84315 \sqrt{a b}\, A \,a^{3} b^{3} x^{\frac{5}{2}}+219219 \sqrt{a b}\, B \,a^{4} b^{2} x^{\frac{5}{2}}+17325 A \,a^{6} b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-45045 B \,a^{7} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-63525 \sqrt{a b}\, A \,a^{4} b^{2} x^{\frac{3}{2}}+165165 \sqrt{a b}\, B \,a^{5} b \,x^{\frac{3}{2}}-17325 \sqrt{a b}\, A \,a^{5} b \sqrt{x}+45045 \sqrt{a b}\, B \,a^{6} \sqrt{x}\right) \left(b x +a \right)}{960 \sqrt{a b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{7}}"," ",0,"1/960*(384*B*(a*b)^(1/2)*x^(13/2)*b^6+640*A*(a*b)^(1/2)*x^(11/2)*b^6-1664*B*(a*b)^(1/2)*x^(11/2)*a*b^5-7040*A*(a*b)^(1/2)*x^(9/2)*a*b^5+18304*B*(a*b)^(1/2)*x^(9/2)*a^2*b^4-46035*A*(a*b)^(1/2)*x^(7/2)*a^2*b^4+119691*B*(a*b)^(1/2)*x^(7/2)*a^3*b^3-84315*A*(a*b)^(1/2)*x^(5/2)*a^3*b^3+17325*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^4*a^2*b^5+219219*B*(a*b)^(1/2)*x^(5/2)*a^4*b^2-45045*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^4*a^3*b^4+69300*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^3*a^3*b^4-180180*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^3*a^4*b^3-63525*A*(a*b)^(1/2)*x^(3/2)*a^4*b^2+103950*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^2*a^4*b^3+165165*B*(a*b)^(1/2)*x^(3/2)*a^5*b-270270*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^2*a^5*b^2+69300*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x*a^5*b^2-180180*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x*a^6*b-17325*A*(a*b)^(1/2)*x^(1/2)*a^5*b+17325*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a^6*b+45045*B*(a*b)^(1/2)*x^(1/2)*a^6-45045*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a^7)*(b*x+a)/(a*b)^(1/2)/b^7/((b*x+a)^2)^(5/2)","A"
827,1,407,244,0.084000," ","int(x^(9/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(-945 A a \,b^{5} x^{4} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+3465 B \,a^{2} b^{4} x^{4} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+128 \sqrt{a b}\, B \,b^{5} x^{\frac{11}{2}}-3780 A \,a^{2} b^{4} x^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+13860 B \,a^{3} b^{3} x^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+384 \sqrt{a b}\, A \,b^{5} x^{\frac{9}{2}}-1408 \sqrt{a b}\, B a \,b^{4} x^{\frac{9}{2}}-5670 A \,a^{3} b^{3} x^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+20790 B \,a^{4} b^{2} x^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+2511 \sqrt{a b}\, A a \,b^{4} x^{\frac{7}{2}}-9207 \sqrt{a b}\, B \,a^{2} b^{3} x^{\frac{7}{2}}-3780 A \,a^{4} b^{2} x \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+13860 B \,a^{5} b x \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+4599 \sqrt{a b}\, A \,a^{2} b^{3} x^{\frac{5}{2}}-16863 \sqrt{a b}\, B \,a^{3} b^{2} x^{\frac{5}{2}}-945 A \,a^{5} b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+3465 B \,a^{6} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+3465 \sqrt{a b}\, A \,a^{3} b^{2} x^{\frac{3}{2}}-12705 \sqrt{a b}\, B \,a^{4} b \,x^{\frac{3}{2}}+945 \sqrt{a b}\, A \,a^{4} b \sqrt{x}-3465 \sqrt{a b}\, B \,a^{5} \sqrt{x}\right) \left(b x +a \right)}{192 \sqrt{a b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{6}}"," ",0,"1/192*(-1408*B*(a*b)^(1/2)*x^(9/2)*a*b^4+2511*A*(a*b)^(1/2)*x^(7/2)*a*b^4-9207*B*(a*b)^(1/2)*x^(7/2)*a^2*b^3+128*B*(a*b)^(1/2)*x^(11/2)*b^5+4599*A*(a*b)^(1/2)*x^(5/2)*a^2*b^3-945*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a^5*b-3465*B*(a*b)^(1/2)*x^(1/2)*a^5+3465*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a^6-945*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^4*a*b^5-16863*B*(a*b)^(1/2)*x^(5/2)*a^3*b^2+3465*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^4*a^2*b^4-3780*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^3*a^2*b^4+13860*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^3*a^3*b^3+3465*A*(a*b)^(1/2)*x^(3/2)*a^3*b^2-5670*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^2*a^3*b^3-12705*B*(a*b)^(1/2)*x^(3/2)*a^4*b+20790*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^2*a^4*b^2-3780*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x*a^4*b^2+13860*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x*a^5*b+945*A*(a*b)^(1/2)*x^(1/2)*a^4*b+384*A*(a*b)^(1/2)*x^(9/2)*b^5)*(b*x+a)/(a*b)^(1/2)/b^6/((b*x+a)^2)^(5/2)","A"
828,1,368,208,0.082000," ","int(x^(7/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(-105 A \,b^{5} x^{4} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+945 B a \,b^{4} x^{4} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-420 A a \,b^{4} x^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+3780 B \,a^{2} b^{3} x^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-384 \sqrt{a b}\, B \,b^{4} x^{\frac{9}{2}}-630 A \,a^{2} b^{3} x^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+5670 B \,a^{3} b^{2} x^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+279 \sqrt{a b}\, A \,b^{4} x^{\frac{7}{2}}-2511 \sqrt{a b}\, B a \,b^{3} x^{\frac{7}{2}}-420 A \,a^{3} b^{2} x \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+3780 B \,a^{4} b x \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+511 \sqrt{a b}\, A a \,b^{3} x^{\frac{5}{2}}-4599 \sqrt{a b}\, B \,a^{2} b^{2} x^{\frac{5}{2}}-105 A \,a^{4} b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+945 B \,a^{5} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+385 \sqrt{a b}\, A \,a^{2} b^{2} x^{\frac{3}{2}}-3465 \sqrt{a b}\, B \,a^{3} b \,x^{\frac{3}{2}}+105 \sqrt{a b}\, A \,a^{3} b \sqrt{x}-945 \sqrt{a b}\, B \,a^{4} \sqrt{x}\right) \left(b x +a \right)}{192 \sqrt{a b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{5}}"," ",0,"-1/192*(279*(a*b)^(1/2)*A*b^4*x^(7/2)-2511*(a*b)^(1/2)*B*a*b^3*x^(7/2)+511*(a*b)^(1/2)*A*a*b^3*x^(5/2)-105*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^4*b^5-4599*(a*b)^(1/2)*B*a^2*b^2*x^(5/2)-384*(a*b)^(1/2)*B*b^4*x^(9/2)+945*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^4*a*b^4-420*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^3*a*b^4+3780*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^3*a^2*b^3+385*(a*b)^(1/2)*A*a^2*b^2*x^(3/2)-630*A*a^2*b^3*x^2*arctan(1/(a*b)^(1/2)*b*x^(1/2))-3465*(a*b)^(1/2)*B*a^3*b*x^(3/2)+5670*B*a^3*b^2*x^2*arctan(1/(a*b)^(1/2)*b*x^(1/2))-420*A*a^3*b^2*x*arctan(1/(a*b)^(1/2)*b*x^(1/2))+3780*B*a^4*b*x*arctan(1/(a*b)^(1/2)*b*x^(1/2))+105*(a*b)^(1/2)*A*a^3*b*x^(1/2)-105*A*a^4*b*arctan(1/(a*b)^(1/2)*b*x^(1/2))-945*(a*b)^(1/2)*B*a^4*x^(1/2)+945*B*a^5*arctan(1/(a*b)^(1/2)*b*x^(1/2)))*(b*x+a)/(a*b)^(1/2)/b^5/((b*x+a)^2)^(5/2)","A"
829,1,357,175,0.069000," ","int(x^(5/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(15 A \,b^{5} x^{4} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+105 B a \,b^{4} x^{4} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+60 A a \,b^{4} x^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+420 B \,a^{2} b^{3} x^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+90 A \,a^{2} b^{3} x^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+630 B \,a^{3} b^{2} x^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+15 \sqrt{a b}\, A \,b^{4} x^{\frac{7}{2}}-279 \sqrt{a b}\, B a \,b^{3} x^{\frac{7}{2}}+60 A \,a^{3} b^{2} x \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+420 B \,a^{4} b x \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-73 \sqrt{a b}\, A a \,b^{3} x^{\frac{5}{2}}-511 \sqrt{a b}\, B \,a^{2} b^{2} x^{\frac{5}{2}}+15 A \,a^{4} b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+105 B \,a^{5} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-55 \sqrt{a b}\, A \,a^{2} b^{2} x^{\frac{3}{2}}-385 \sqrt{a b}\, B \,a^{3} b \,x^{\frac{3}{2}}-15 \sqrt{a b}\, A \,a^{3} b \sqrt{x}-105 \sqrt{a b}\, B \,a^{4} \sqrt{x}\right) \left(b x +a \right)}{192 \sqrt{a b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} a \,b^{4}}"," ",0,"1/192*(15*(a*b)^(1/2)*A*b^4*x^(7/2)-279*(a*b)^(1/2)*B*a*b^3*x^(7/2)-73*(a*b)^(1/2)*A*a*b^3*x^(5/2)+15*A*b^5*x^4*arctan(1/(a*b)^(1/2)*b*x^(1/2))-511*(a*b)^(1/2)*B*a^2*b^2*x^(5/2)+105*B*a*b^4*x^4*arctan(1/(a*b)^(1/2)*b*x^(1/2))+60*A*a*b^4*x^3*arctan(1/(a*b)^(1/2)*b*x^(1/2))+420*B*a^2*b^3*x^3*arctan(1/(a*b)^(1/2)*b*x^(1/2))-55*(a*b)^(1/2)*A*a^2*b^2*x^(3/2)+90*A*a^2*b^3*x^2*arctan(1/(a*b)^(1/2)*b*x^(1/2))-385*(a*b)^(1/2)*B*a^3*b*x^(3/2)+630*B*a^3*b^2*x^2*arctan(1/(a*b)^(1/2)*b*x^(1/2))+60*A*a^3*b^2*x*arctan(1/(a*b)^(1/2)*b*x^(1/2))+420*B*a^4*b*x*arctan(1/(a*b)^(1/2)*b*x^(1/2))-15*(a*b)^(1/2)*A*a^3*b*x^(1/2)+15*A*a^4*b*arctan(1/(a*b)^(1/2)*b*x^(1/2))-105*(a*b)^(1/2)*B*a^4*x^(1/2)+105*B*a^5*arctan(1/(a*b)^(1/2)*b*x^(1/2)))*(b*x+a)/(a*b)^(1/2)/b^4/a/((b*x+a)^2)^(5/2)","B"
830,1,357,179,0.070000," ","int(x^(3/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(9 A \,b^{5} x^{4} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+15 B a \,b^{4} x^{4} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+36 A a \,b^{4} x^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+60 B \,a^{2} b^{3} x^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+54 A \,a^{2} b^{3} x^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+90 B \,a^{3} b^{2} x^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+9 \sqrt{a b}\, A \,b^{4} x^{\frac{7}{2}}+15 \sqrt{a b}\, B a \,b^{3} x^{\frac{7}{2}}+36 A \,a^{3} b^{2} x \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+60 B \,a^{4} b x \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+33 \sqrt{a b}\, A a \,b^{3} x^{\frac{5}{2}}-73 \sqrt{a b}\, B \,a^{2} b^{2} x^{\frac{5}{2}}+9 A \,a^{4} b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+15 B \,a^{5} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-33 \sqrt{a b}\, A \,a^{2} b^{2} x^{\frac{3}{2}}-55 \sqrt{a b}\, B \,a^{3} b \,x^{\frac{3}{2}}-9 \sqrt{a b}\, A \,a^{3} b \sqrt{x}-15 \sqrt{a b}\, B \,a^{4} \sqrt{x}\right) \left(b x +a \right)}{192 \sqrt{a b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} a^{2} b^{3}}"," ",0,"1/192*(9*(a*b)^(1/2)*A*b^4*x^(7/2)+15*(a*b)^(1/2)*B*a*b^3*x^(7/2)+33*(a*b)^(1/2)*A*a*b^3*x^(5/2)+9*A*b^5*x^4*arctan(1/(a*b)^(1/2)*b*x^(1/2))-73*(a*b)^(1/2)*B*a^2*b^2*x^(5/2)+15*B*a*b^4*x^4*arctan(1/(a*b)^(1/2)*b*x^(1/2))+36*A*a*b^4*x^3*arctan(1/(a*b)^(1/2)*b*x^(1/2))+60*B*a^2*b^3*x^3*arctan(1/(a*b)^(1/2)*b*x^(1/2))-33*(a*b)^(1/2)*A*a^2*b^2*x^(3/2)+54*A*a^2*b^3*x^2*arctan(1/(a*b)^(1/2)*b*x^(1/2))-55*(a*b)^(1/2)*B*a^3*b*x^(3/2)+90*B*a^3*b^2*x^2*arctan(1/(a*b)^(1/2)*b*x^(1/2))+36*A*a^3*b^2*x*arctan(1/(a*b)^(1/2)*b*x^(1/2))+60*B*a^4*b*x*arctan(1/(a*b)^(1/2)*b*x^(1/2))-9*(a*b)^(1/2)*A*a^3*b*x^(1/2)+9*A*a^4*b*arctan(1/(a*b)^(1/2)*b*x^(1/2))-15*(a*b)^(1/2)*B*a^4*x^(1/2)+15*B*a^5*arctan(1/(a*b)^(1/2)*b*x^(1/2)))*(b*x+a)/(a*b)^(1/2)/b^3/a^2/((b*x+a)^2)^(5/2)","A"
831,1,357,179,0.074000," ","int((B*x+A)*x^(1/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(15 A \,b^{5} x^{4} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+9 B a \,b^{4} x^{4} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+60 A a \,b^{4} x^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+36 B \,a^{2} b^{3} x^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+90 A \,a^{2} b^{3} x^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+54 B \,a^{3} b^{2} x^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+15 \sqrt{a b}\, A \,b^{4} x^{\frac{7}{2}}+9 \sqrt{a b}\, B a \,b^{3} x^{\frac{7}{2}}+60 A \,a^{3} b^{2} x \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+36 B \,a^{4} b x \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+55 \sqrt{a b}\, A a \,b^{3} x^{\frac{5}{2}}+33 \sqrt{a b}\, B \,a^{2} b^{2} x^{\frac{5}{2}}+15 A \,a^{4} b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+9 B \,a^{5} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+73 \sqrt{a b}\, A \,a^{2} b^{2} x^{\frac{3}{2}}-33 \sqrt{a b}\, B \,a^{3} b \,x^{\frac{3}{2}}-15 \sqrt{a b}\, A \,a^{3} b \sqrt{x}-9 \sqrt{a b}\, B \,a^{4} \sqrt{x}\right) \left(b x +a \right)}{192 \sqrt{a b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} a^{3} b^{2}}"," ",0,"1/192*(15*(a*b)^(1/2)*A*b^4*x^(7/2)+9*(a*b)^(1/2)*B*a*b^3*x^(7/2)+55*(a*b)^(1/2)*A*a*b^3*x^(5/2)+15*A*b^5*x^4*arctan(1/(a*b)^(1/2)*b*x^(1/2))+33*(a*b)^(1/2)*B*a^2*b^2*x^(5/2)+9*B*a*b^4*x^4*arctan(1/(a*b)^(1/2)*b*x^(1/2))+60*A*a*b^4*x^3*arctan(1/(a*b)^(1/2)*b*x^(1/2))+36*B*a^2*b^3*x^3*arctan(1/(a*b)^(1/2)*b*x^(1/2))+73*(a*b)^(1/2)*A*a^2*b^2*x^(3/2)+90*A*a^2*b^3*x^2*arctan(1/(a*b)^(1/2)*b*x^(1/2))-33*(a*b)^(1/2)*B*a^3*b*x^(3/2)+54*B*a^3*b^2*x^2*arctan(1/(a*b)^(1/2)*b*x^(1/2))+60*A*a^3*b^2*x*arctan(1/(a*b)^(1/2)*b*x^(1/2))+36*B*a^4*b*x*arctan(1/(a*b)^(1/2)*b*x^(1/2))-15*(a*b)^(1/2)*A*a^3*b*x^(1/2)+15*A*a^4*b*arctan(1/(a*b)^(1/2)*b*x^(1/2))-9*(a*b)^(1/2)*B*a^4*x^(1/2)+9*B*a^5*arctan(1/(a*b)^(1/2)*b*x^(1/2)))*(b*x+a)/(a*b)^(1/2)/b^2/a^3/((b*x+a)^2)^(5/2)","A"
832,1,357,175,0.070000," ","int((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^(1/2),x)","\frac{\left(105 A \,b^{5} x^{4} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+15 B a \,b^{4} x^{4} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+420 A a \,b^{4} x^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+60 B \,a^{2} b^{3} x^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+630 A \,a^{2} b^{3} x^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+90 B \,a^{3} b^{2} x^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+105 \sqrt{a b}\, A \,b^{4} x^{\frac{7}{2}}+15 \sqrt{a b}\, B a \,b^{3} x^{\frac{7}{2}}+420 A \,a^{3} b^{2} x \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+60 B \,a^{4} b x \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+385 \sqrt{a b}\, A a \,b^{3} x^{\frac{5}{2}}+55 \sqrt{a b}\, B \,a^{2} b^{2} x^{\frac{5}{2}}+105 A \,a^{4} b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+15 B \,a^{5} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+511 \sqrt{a b}\, A \,a^{2} b^{2} x^{\frac{3}{2}}+73 \sqrt{a b}\, B \,a^{3} b \,x^{\frac{3}{2}}+279 \sqrt{a b}\, A \,a^{3} b \sqrt{x}-15 \sqrt{a b}\, B \,a^{4} \sqrt{x}\right) \left(b x +a \right)}{192 \sqrt{a b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} a^{4} b}"," ",0,"1/192*(105*(a*b)^(1/2)*A*b^4*x^(7/2)+15*(a*b)^(1/2)*B*a*b^3*x^(7/2)+385*(a*b)^(1/2)*A*a*b^3*x^(5/2)+105*A*b^5*x^4*arctan(1/(a*b)^(1/2)*b*x^(1/2))+55*(a*b)^(1/2)*B*a^2*b^2*x^(5/2)+15*B*a*b^4*x^4*arctan(1/(a*b)^(1/2)*b*x^(1/2))+420*A*a*b^4*x^3*arctan(1/(a*b)^(1/2)*b*x^(1/2))+60*B*a^2*b^3*x^3*arctan(1/(a*b)^(1/2)*b*x^(1/2))+511*(a*b)^(1/2)*A*a^2*b^2*x^(3/2)+630*A*a^2*b^3*x^2*arctan(1/(a*b)^(1/2)*b*x^(1/2))+73*(a*b)^(1/2)*B*a^3*b*x^(3/2)+90*B*a^3*b^2*x^2*arctan(1/(a*b)^(1/2)*b*x^(1/2))+420*A*a^3*b^2*x*arctan(1/(a*b)^(1/2)*b*x^(1/2))+60*B*a^4*b*x*arctan(1/(a*b)^(1/2)*b*x^(1/2))+279*(a*b)^(1/2)*A*a^3*b*x^(1/2)+105*A*a^4*b*arctan(1/(a*b)^(1/2)*b*x^(1/2))-15*(a*b)^(1/2)*B*a^4*x^(1/2)+15*B*a^5*arctan(1/(a*b)^(1/2)*b*x^(1/2)))*(b*x+a)/(a*b)^(1/2)/b/a^4/((b*x+a)^2)^(5/2)","B"
833,1,374,213,0.070000," ","int((B*x+A)/x^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(945 A \,b^{5} x^{\frac{9}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-105 B a \,b^{4} x^{\frac{9}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+3780 A a \,b^{4} x^{\frac{7}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-420 B \,a^{2} b^{3} x^{\frac{7}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+5670 A \,a^{2} b^{3} x^{\frac{5}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-630 B \,a^{3} b^{2} x^{\frac{5}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+945 \sqrt{a b}\, A \,b^{4} x^{4}-105 \sqrt{a b}\, B a \,b^{3} x^{4}+3780 A \,a^{3} b^{2} x^{\frac{3}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-420 B \,a^{4} b \,x^{\frac{3}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+3465 \sqrt{a b}\, A a \,b^{3} x^{3}-385 \sqrt{a b}\, B \,a^{2} b^{2} x^{3}+945 A \,a^{4} b \sqrt{x}\, \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-105 B \,a^{5} \sqrt{x}\, \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+4599 \sqrt{a b}\, A \,a^{2} b^{2} x^{2}-511 \sqrt{a b}\, B \,a^{3} b \,x^{2}+2511 \sqrt{a b}\, A \,a^{3} b x -279 \sqrt{a b}\, B \,a^{4} x +384 \sqrt{a b}\, A \,a^{4}\right) \left(b x +a \right)}{192 \sqrt{a b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} a^{5} \sqrt{x}}"," ",0,"-1/192*(945*(a*b)^(1/2)*A*b^4*x^4-105*(a*b)^(1/2)*B*a*b^3*x^4+3465*(a*b)^(1/2)*A*a*b^3*x^3+945*A*b^5*x^(9/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))-385*(a*b)^(1/2)*B*a^2*b^2*x^3-105*B*a*b^4*x^(9/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))+3780*A*a*b^4*x^(7/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))-420*B*a^2*b^3*x^(7/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))+4599*(a*b)^(1/2)*A*a^2*b^2*x^2+5670*A*a^2*b^3*x^(5/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))-511*(a*b)^(1/2)*B*a^3*b*x^2-630*B*a^3*b^2*x^(5/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))+3780*A*x^(3/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a^3*b^2-420*B*x^(3/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a^4*b+2511*(a*b)^(1/2)*A*a^3*b*x+945*A*x^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a^4*b-279*(a*b)^(1/2)*B*a^4*x-105*B*x^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*a^5+384*(a*b)^(1/2)*A*a^4)*(b*x+a)/x^(1/2)/(a*b)^(1/2)/a^5/((b*x+a)^2)^(5/2)","A"
834,1,413,244,0.082000," ","int((B*x+A)/x^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(3465 A \,b^{6} x^{\frac{11}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-945 B a \,b^{5} x^{\frac{11}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+13860 A a \,b^{5} x^{\frac{9}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-3780 B \,a^{2} b^{4} x^{\frac{9}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+20790 A \,a^{2} b^{4} x^{\frac{7}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-5670 B \,a^{3} b^{3} x^{\frac{7}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+3465 \sqrt{a b}\, A \,b^{5} x^{5}-945 \sqrt{a b}\, B a \,b^{4} x^{5}+13860 A \,a^{3} b^{3} x^{\frac{5}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-3780 B \,a^{4} b^{2} x^{\frac{5}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+12705 \sqrt{a b}\, A a \,b^{4} x^{4}-3465 \sqrt{a b}\, B \,a^{2} b^{3} x^{4}+3465 A \,a^{4} b^{2} x^{\frac{3}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-945 B \,a^{5} b \,x^{\frac{3}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+16863 \sqrt{a b}\, A \,a^{2} b^{3} x^{3}-4599 \sqrt{a b}\, B \,a^{3} b^{2} x^{3}+9207 \sqrt{a b}\, A \,a^{3} b^{2} x^{2}-2511 \sqrt{a b}\, B \,a^{4} b \,x^{2}+1408 \sqrt{a b}\, A \,a^{4} b x -384 \sqrt{a b}\, B \,a^{5} x -128 \sqrt{a b}\, A \,a^{5}\right) \left(b x +a \right)}{192 \sqrt{a b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} a^{6} x^{\frac{3}{2}}}"," ",0,"1/192*(13860*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(5/2)*a^3*b^3-3780*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(5/2)*a^4*b^2-945*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(11/2)*a*b^5+13860*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(9/2)*a*b^5-3780*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(9/2)*a^2*b^4+20790*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(7/2)*a^2*b^4-5670*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(7/2)*a^3*b^3+3465*A*(a*b)^(1/2)*x^5*b^5-384*B*(a*b)^(1/2)*x*a^5-128*A*(a*b)^(1/2)*a^5-945*B*(a*b)^(1/2)*x^5*a*b^4+12705*A*(a*b)^(1/2)*x^4*a*b^4+3465*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(11/2)*b^6-3465*B*(a*b)^(1/2)*x^4*a^2*b^3+16863*A*(a*b)^(1/2)*x^3*a^2*b^3-4599*B*(a*b)^(1/2)*x^3*a^3*b^2+9207*A*(a*b)^(1/2)*x^2*a^3*b^2+3465*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(3/2)*a^4*b^2-2511*B*(a*b)^(1/2)*x^2*a^4*b-945*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(3/2)*a^5*b+1408*A*(a*b)^(1/2)*x*a^4*b)*(b*x+a)/x^(3/2)/(a*b)^(1/2)/a^6/((b*x+a)^2)^(5/2)","A"
835,1,449,276,0.083000," ","int((B*x+A)/x^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(45045 A \,b^{7} x^{\frac{13}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-17325 B a \,b^{6} x^{\frac{13}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+180180 A a \,b^{6} x^{\frac{11}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-69300 B \,a^{2} b^{5} x^{\frac{11}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+270270 A \,a^{2} b^{5} x^{\frac{9}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-103950 B \,a^{3} b^{4} x^{\frac{9}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+45045 \sqrt{a b}\, A \,b^{6} x^{6}-17325 \sqrt{a b}\, B a \,b^{5} x^{6}+180180 A \,a^{3} b^{4} x^{\frac{7}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-69300 B \,a^{4} b^{3} x^{\frac{7}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+165165 \sqrt{a b}\, A a \,b^{5} x^{5}-63525 \sqrt{a b}\, B \,a^{2} b^{4} x^{5}+45045 A \,a^{4} b^{3} x^{\frac{5}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)-17325 B \,a^{5} b^{2} x^{\frac{5}{2}} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)+219219 \sqrt{a b}\, A \,a^{2} b^{4} x^{4}-84315 \sqrt{a b}\, B \,a^{3} b^{3} x^{4}+119691 \sqrt{a b}\, A \,a^{3} b^{3} x^{3}-46035 \sqrt{a b}\, B \,a^{4} b^{2} x^{3}+18304 \sqrt{a b}\, A \,a^{4} b^{2} x^{2}-7040 \sqrt{a b}\, B \,a^{5} b \,x^{2}-1664 \sqrt{a b}\, A \,a^{5} b x +640 \sqrt{a b}\, B \,a^{6} x +384 \sqrt{a b}\, A \,a^{6}\right) \left(b x +a \right)}{960 \sqrt{a b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} a^{7} x^{\frac{5}{2}}}"," ",0,"-1/960*(180180*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(7/2)*a^3*b^4-69300*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(7/2)*a^4*b^3-103950*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(9/2)*a^3*b^4+180180*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(11/2)*a*b^6-69300*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(11/2)*a^2*b^5+270270*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(9/2)*a^2*b^5-17325*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(13/2)*a*b^6+45045*A*(a*b)^(1/2)*x^6*b^6+640*B*(a*b)^(1/2)*x*a^6+384*A*(a*b)^(1/2)*a^6-7040*B*(a*b)^(1/2)*x^2*a^5*b-1664*A*(a*b)^(1/2)*x*a^5*b-17325*B*(a*b)^(1/2)*x^6*a*b^5+165165*A*(a*b)^(1/2)*x^5*a*b^5+45045*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(13/2)*b^7-63525*B*(a*b)^(1/2)*x^5*a^2*b^4+219219*A*(a*b)^(1/2)*x^4*a^2*b^4-84315*B*(a*b)^(1/2)*x^4*a^3*b^3+119691*A*(a*b)^(1/2)*x^3*a^3*b^3+45045*A*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(5/2)*a^4*b^3-46035*B*(a*b)^(1/2)*x^3*a^4*b^2-17325*B*arctan(1/(a*b)^(1/2)*b*x^(1/2))*x^(5/2)*a^5*b^2+18304*A*(a*b)^(1/2)*x^2*a^4*b^2)*(b*x+a)/x^(5/2)/(a*b)^(1/2)/a^7/((b*x+a)^2)^(5/2)","A"
836,1,1438,179,0.058000," ","int(x^m*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{\left(B \,b^{6} m^{7} x^{7}+A \,b^{6} m^{7} x^{6}+6 B a \,b^{5} m^{7} x^{6}+28 B \,b^{6} m^{6} x^{7}+6 A a \,b^{5} m^{7} x^{5}+29 A \,b^{6} m^{6} x^{6}+15 B \,a^{2} b^{4} m^{7} x^{5}+174 B a \,b^{5} m^{6} x^{6}+322 B \,b^{6} m^{5} x^{7}+15 A \,a^{2} b^{4} m^{7} x^{4}+180 A a \,b^{5} m^{6} x^{5}+343 A \,b^{6} m^{5} x^{6}+20 B \,a^{3} b^{3} m^{7} x^{4}+450 B \,a^{2} b^{4} m^{6} x^{5}+2058 B a \,b^{5} m^{5} x^{6}+1960 B \,b^{6} m^{4} x^{7}+20 A \,a^{3} b^{3} m^{7} x^{3}+465 A \,a^{2} b^{4} m^{6} x^{4}+2196 A a \,b^{5} m^{5} x^{5}+2135 A \,b^{6} m^{4} x^{6}+15 B \,a^{4} b^{2} m^{7} x^{3}+620 B \,a^{3} b^{3} m^{6} x^{4}+5490 B \,a^{2} b^{4} m^{5} x^{5}+12810 B a \,b^{5} m^{4} x^{6}+6769 B \,b^{6} m^{3} x^{7}+15 A \,a^{4} b^{2} m^{7} x^{2}+640 A \,a^{3} b^{3} m^{6} x^{3}+5865 A \,a^{2} b^{4} m^{5} x^{4}+14040 A a \,b^{5} m^{4} x^{5}+7504 A \,b^{6} m^{3} x^{6}+6 B \,a^{5} b \,m^{7} x^{2}+480 B \,a^{4} b^{2} m^{6} x^{3}+7820 B \,a^{3} b^{3} m^{5} x^{4}+35100 B \,a^{2} b^{4} m^{4} x^{5}+45024 B a \,b^{5} m^{3} x^{6}+13132 B \,b^{6} m^{2} x^{7}+6 A \,a^{5} b \,m^{7} x +495 A \,a^{4} b^{2} m^{6} x^{2}+8360 A \,a^{3} b^{3} m^{5} x^{3}+38715 A \,a^{2} b^{4} m^{4} x^{4}+50454 A a \,b^{5} m^{3} x^{5}+14756 A \,b^{6} m^{2} x^{6}+B \,a^{6} m^{7} x +198 B \,a^{5} b \,m^{6} x^{2}+6270 B \,a^{4} b^{2} m^{5} x^{3}+51620 B \,a^{3} b^{3} m^{4} x^{4}+126135 B \,a^{2} b^{4} m^{3} x^{5}+88536 B a \,b^{5} m^{2} x^{6}+13068 B \,b^{6} m \,x^{7}+A \,a^{6} m^{7}+204 A \,a^{5} b \,m^{6} x +6705 A \,a^{4} b^{2} m^{5} x^{2}+57280 A \,a^{3} b^{3} m^{4} x^{3}+143160 A \,a^{2} b^{4} m^{3} x^{4}+100980 A a \,b^{5} m^{2} x^{5}+14832 A \,b^{6} m \,x^{6}+34 B \,a^{6} m^{6} x +2682 B \,a^{5} b \,m^{5} x^{2}+42960 B \,a^{4} b^{2} m^{4} x^{3}+190880 B \,a^{3} b^{3} m^{3} x^{4}+252450 B \,a^{2} b^{4} m^{2} x^{5}+88992 B a \,b^{5} m \,x^{6}+5040 B \,b^{6} x^{7}+35 A \,a^{6} m^{6}+2868 A \,a^{5} b \,m^{5} x +47925 A \,a^{4} b^{2} m^{4} x^{2}+219860 A \,a^{3} b^{3} m^{3} x^{3}+293460 A \,a^{2} b^{4} m^{2} x^{4}+102864 A a \,b^{5} m \,x^{5}+5760 A \,b^{6} x^{6}+478 B \,a^{6} m^{5} x +19170 B \,a^{5} b \,m^{4} x^{2}+164895 B \,a^{4} b^{2} m^{3} x^{3}+391280 B \,a^{3} b^{3} m^{2} x^{4}+257160 B \,a^{2} b^{4} m \,x^{5}+34560 x^{6} B a \,b^{5}+511 A \,a^{6} m^{5}+21480 A \,a^{5} b \,m^{4} x +192960 A \,a^{4} b^{2} m^{3} x^{2}+466240 A \,a^{3} b^{3} m^{2} x^{3}+304560 A \,a^{2} b^{4} m \,x^{4}+40320 A a \,b^{5} x^{5}+3580 B \,a^{6} m^{4} x +77184 B \,a^{5} b \,m^{3} x^{2}+349680 B \,a^{4} b^{2} m^{2} x^{3}+406080 B \,a^{3} b^{3} m \,x^{4}+100800 B \,a^{2} b^{4} x^{5}+4025 A \,a^{6} m^{4}+91734 A \,a^{5} b \,m^{3} x +430380 A \,a^{4} b^{2} m^{2} x^{2}+497520 A \,a^{3} b^{3} m \,x^{3}+120960 A \,a^{2} b^{4} x^{4}+15289 B \,a^{6} m^{3} x +172152 B \,a^{5} b \,m^{2} x^{2}+373140 B \,a^{4} b^{2} m \,x^{3}+161280 x^{4} B \,a^{3} b^{3}+18424 A \,a^{6} m^{3}+220236 A \,a^{5} b \,m^{2} x +480720 A \,a^{4} b^{2} m \,x^{2}+201600 A \,a^{3} b^{3} x^{3}+36706 B \,a^{6} m^{2} x +192288 B \,a^{5} b m \,x^{2}+151200 B \,a^{4} b^{2} x^{3}+48860 A \,a^{6} m^{2}+268272 A \,a^{5} b m x +201600 A \,a^{4} b^{2} x^{2}+44712 B \,a^{6} m x +80640 B \,a^{5} b \,x^{2}+69264 A \,a^{6} m +120960 A \,a^{5} b x +20160 B \,a^{6} x +40320 A \,a^{6}\right) x^{m +1}}{\left(m +8\right) \left(m +7\right) \left(m +6\right) \left(m +5\right) \left(m +4\right) \left(m +3\right) \left(m +2\right) \left(m +1\right)}"," ",0,"x^(m+1)*(B*b^6*m^7*x^7+A*b^6*m^7*x^6+6*B*a*b^5*m^7*x^6+28*B*b^6*m^6*x^7+6*A*a*b^5*m^7*x^5+29*A*b^6*m^6*x^6+15*B*a^2*b^4*m^7*x^5+174*B*a*b^5*m^6*x^6+322*B*b^6*m^5*x^7+15*A*a^2*b^4*m^7*x^4+180*A*a*b^5*m^6*x^5+343*A*b^6*m^5*x^6+20*B*a^3*b^3*m^7*x^4+450*B*a^2*b^4*m^6*x^5+2058*B*a*b^5*m^5*x^6+1960*B*b^6*m^4*x^7+20*A*a^3*b^3*m^7*x^3+465*A*a^2*b^4*m^6*x^4+2196*A*a*b^5*m^5*x^5+2135*A*b^6*m^4*x^6+15*B*a^4*b^2*m^7*x^3+620*B*a^3*b^3*m^6*x^4+5490*B*a^2*b^4*m^5*x^5+12810*B*a*b^5*m^4*x^6+6769*B*b^6*m^3*x^7+15*A*a^4*b^2*m^7*x^2+640*A*a^3*b^3*m^6*x^3+5865*A*a^2*b^4*m^5*x^4+14040*A*a*b^5*m^4*x^5+7504*A*b^6*m^3*x^6+6*B*a^5*b*m^7*x^2+480*B*a^4*b^2*m^6*x^3+7820*B*a^3*b^3*m^5*x^4+35100*B*a^2*b^4*m^4*x^5+45024*B*a*b^5*m^3*x^6+13132*B*b^6*m^2*x^7+6*A*a^5*b*m^7*x+495*A*a^4*b^2*m^6*x^2+8360*A*a^3*b^3*m^5*x^3+38715*A*a^2*b^4*m^4*x^4+50454*A*a*b^5*m^3*x^5+14756*A*b^6*m^2*x^6+B*a^6*m^7*x+198*B*a^5*b*m^6*x^2+6270*B*a^4*b^2*m^5*x^3+51620*B*a^3*b^3*m^4*x^4+126135*B*a^2*b^4*m^3*x^5+88536*B*a*b^5*m^2*x^6+13068*B*b^6*m*x^7+A*a^6*m^7+204*A*a^5*b*m^6*x+6705*A*a^4*b^2*m^5*x^2+57280*A*a^3*b^3*m^4*x^3+143160*A*a^2*b^4*m^3*x^4+100980*A*a*b^5*m^2*x^5+14832*A*b^6*m*x^6+34*B*a^6*m^6*x+2682*B*a^5*b*m^5*x^2+42960*B*a^4*b^2*m^4*x^3+190880*B*a^3*b^3*m^3*x^4+252450*B*a^2*b^4*m^2*x^5+88992*B*a*b^5*m*x^6+5040*B*b^6*x^7+35*A*a^6*m^6+2868*A*a^5*b*m^5*x+47925*A*a^4*b^2*m^4*x^2+219860*A*a^3*b^3*m^3*x^3+293460*A*a^2*b^4*m^2*x^4+102864*A*a*b^5*m*x^5+5760*A*b^6*x^6+478*B*a^6*m^5*x+19170*B*a^5*b*m^4*x^2+164895*B*a^4*b^2*m^3*x^3+391280*B*a^3*b^3*m^2*x^4+257160*B*a^2*b^4*m*x^5+34560*B*a*b^5*x^6+511*A*a^6*m^5+21480*A*a^5*b*m^4*x+192960*A*a^4*b^2*m^3*x^2+466240*A*a^3*b^3*m^2*x^3+304560*A*a^2*b^4*m*x^4+40320*A*a*b^5*x^5+3580*B*a^6*m^4*x+77184*B*a^5*b*m^3*x^2+349680*B*a^4*b^2*m^2*x^3+406080*B*a^3*b^3*m*x^4+100800*B*a^2*b^4*x^5+4025*A*a^6*m^4+91734*A*a^5*b*m^3*x+430380*A*a^4*b^2*m^2*x^2+497520*A*a^3*b^3*m*x^3+120960*A*a^2*b^4*x^4+15289*B*a^6*m^3*x+172152*B*a^5*b*m^2*x^2+373140*B*a^4*b^2*m*x^3+161280*B*a^3*b^3*x^4+18424*A*a^6*m^3+220236*A*a^5*b*m^2*x+480720*A*a^4*b^2*m*x^2+201600*A*a^3*b^3*x^3+36706*B*a^6*m^2*x+192288*B*a^5*b*m*x^2+151200*B*a^4*b^2*x^3+48860*A*a^6*m^2+268272*A*a^5*b*m*x+201600*A*a^4*b^2*x^2+44712*B*a^6*m*x+80640*B*a^5*b*x^2+69264*A*a^6*m+120960*A*a^5*b*x+20160*B*a^6*x+40320*A*a^6)/(m+8)/(m+7)/(m+6)/(m+5)/(m+4)/(m+3)/(m+2)/(m+1)","B"
837,1,722,125,0.051000," ","int(x^m*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{\left(B \,b^{4} m^{5} x^{5}+A \,b^{4} m^{5} x^{4}+4 B a \,b^{3} m^{5} x^{4}+15 B \,b^{4} m^{4} x^{5}+4 A a \,b^{3} m^{5} x^{3}+16 A \,b^{4} m^{4} x^{4}+6 B \,a^{2} b^{2} m^{5} x^{3}+64 B a \,b^{3} m^{4} x^{4}+85 B \,b^{4} m^{3} x^{5}+6 A \,a^{2} b^{2} m^{5} x^{2}+68 A a \,b^{3} m^{4} x^{3}+95 A \,b^{4} m^{3} x^{4}+4 B \,a^{3} b \,m^{5} x^{2}+102 B \,a^{2} b^{2} m^{4} x^{3}+380 B a \,b^{3} m^{3} x^{4}+225 B \,b^{4} m^{2} x^{5}+4 A \,a^{3} b \,m^{5} x +108 A \,a^{2} b^{2} m^{4} x^{2}+428 A a \,b^{3} m^{3} x^{3}+260 A \,b^{4} m^{2} x^{4}+B \,a^{4} m^{5} x +72 B \,a^{3} b \,m^{4} x^{2}+642 B \,a^{2} b^{2} m^{3} x^{3}+1040 B a \,b^{3} m^{2} x^{4}+274 B \,b^{4} m \,x^{5}+A \,a^{4} m^{5}+76 A \,a^{3} b \,m^{4} x +726 A \,a^{2} b^{2} m^{3} x^{2}+1228 A a \,b^{3} m^{2} x^{3}+324 A \,b^{4} m \,x^{4}+19 B \,a^{4} m^{4} x +484 B \,a^{3} b \,m^{3} x^{2}+1842 B \,a^{2} b^{2} m^{2} x^{3}+1296 B a \,b^{3} m \,x^{4}+120 b^{4} B \,x^{5}+20 A \,a^{4} m^{4}+548 A \,a^{3} b \,m^{3} x +2232 A \,a^{2} b^{2} m^{2} x^{2}+1584 A a \,b^{3} m \,x^{3}+144 A \,b^{4} x^{4}+137 B \,a^{4} m^{3} x +1488 B \,a^{3} b \,m^{2} x^{2}+2376 B \,a^{2} b^{2} m \,x^{3}+576 B a \,b^{3} x^{4}+155 A \,a^{4} m^{3}+1844 A \,a^{3} b \,m^{2} x +3048 A \,a^{2} b^{2} m \,x^{2}+720 A a \,b^{3} x^{3}+461 B \,a^{4} m^{2} x +2032 B \,a^{3} b m \,x^{2}+1080 B \,a^{2} b^{2} x^{3}+580 A \,a^{4} m^{2}+2808 A \,a^{3} b m x +1440 A \,a^{2} b^{2} x^{2}+702 B \,a^{4} m x +960 B \,a^{3} b \,x^{2}+1044 A \,a^{4} m +1440 A \,a^{3} b x +360 B \,a^{4} x +720 A \,a^{4}\right) x^{m +1}}{\left(m +6\right) \left(m +5\right) \left(m +4\right) \left(m +3\right) \left(m +2\right) \left(m +1\right)}"," ",0,"x^(m+1)*(B*b^4*m^5*x^5+A*b^4*m^5*x^4+4*B*a*b^3*m^5*x^4+15*B*b^4*m^4*x^5+4*A*a*b^3*m^5*x^3+16*A*b^4*m^4*x^4+6*B*a^2*b^2*m^5*x^3+64*B*a*b^3*m^4*x^4+85*B*b^4*m^3*x^5+6*A*a^2*b^2*m^5*x^2+68*A*a*b^3*m^4*x^3+95*A*b^4*m^3*x^4+4*B*a^3*b*m^5*x^2+102*B*a^2*b^2*m^4*x^3+380*B*a*b^3*m^3*x^4+225*B*b^4*m^2*x^5+4*A*a^3*b*m^5*x+108*A*a^2*b^2*m^4*x^2+428*A*a*b^3*m^3*x^3+260*A*b^4*m^2*x^4+B*a^4*m^5*x+72*B*a^3*b*m^4*x^2+642*B*a^2*b^2*m^3*x^3+1040*B*a*b^3*m^2*x^4+274*B*b^4*m*x^5+A*a^4*m^5+76*A*a^3*b*m^4*x+726*A*a^2*b^2*m^3*x^2+1228*A*a*b^3*m^2*x^3+324*A*b^4*m*x^4+19*B*a^4*m^4*x+484*B*a^3*b*m^3*x^2+1842*B*a^2*b^2*m^2*x^3+1296*B*a*b^3*m*x^4+120*B*b^4*x^5+20*A*a^4*m^4+548*A*a^3*b*m^3*x+2232*A*a^2*b^2*m^2*x^2+1584*A*a*b^3*m*x^3+144*A*b^4*x^4+137*B*a^4*m^3*x+1488*B*a^3*b*m^2*x^2+2376*B*a^2*b^2*m*x^3+576*B*a*b^3*x^4+155*A*a^4*m^3+1844*A*a^3*b*m^2*x+3048*A*a^2*b^2*m*x^2+720*A*a*b^3*x^3+461*B*a^4*m^2*x+2032*B*a^3*b*m*x^2+1080*B*a^2*b^2*x^3+580*A*a^4*m^2+2808*A*a^3*b*m*x+1440*A*a^2*b^2*x^2+702*B*a^4*m*x+960*B*a^3*b*x^2+1044*A*a^4*m+1440*A*a^3*b*x+360*B*a^4*x+720*A*a^4)/(m+6)/(m+5)/(m+4)/(m+3)/(m+2)/(m+1)","B"
838,1,246,71,0.055000," ","int(x^m*(B*x+A)*(b^2*x^2+2*a*b*x+a^2),x)","\frac{\left(B \,b^{2} m^{3} x^{3}+A \,b^{2} m^{3} x^{2}+2 B a b \,m^{3} x^{2}+6 B \,b^{2} m^{2} x^{3}+2 A a b \,m^{3} x +7 A \,b^{2} m^{2} x^{2}+B \,a^{2} m^{3} x +14 B a b \,m^{2} x^{2}+11 B \,b^{2} m \,x^{3}+A \,a^{2} m^{3}+16 A a b \,m^{2} x +14 A \,b^{2} m \,x^{2}+8 B \,a^{2} m^{2} x +28 B a b m \,x^{2}+6 B \,b^{2} x^{3}+9 A \,a^{2} m^{2}+38 A a b m x +8 A \,b^{2} x^{2}+19 B \,a^{2} m x +16 B a b \,x^{2}+26 A \,a^{2} m +24 A a b x +12 B \,a^{2} x +24 A \,a^{2}\right) x^{m +1}}{\left(m +4\right) \left(m +3\right) \left(m +2\right) \left(m +1\right)}"," ",0,"x^(m+1)*(B*b^2*m^3*x^3+A*b^2*m^3*x^2+2*B*a*b*m^3*x^2+6*B*b^2*m^2*x^3+2*A*a*b*m^3*x+7*A*b^2*m^2*x^2+B*a^2*m^3*x+14*B*a*b*m^2*x^2+11*B*b^2*m*x^3+A*a^2*m^3+16*A*a*b*m^2*x+14*A*b^2*m*x^2+8*B*a^2*m^2*x+28*B*a*b*m*x^2+6*B*b^2*x^3+9*A*a^2*m^2+38*A*a*b*m*x+8*A*b^2*x^2+19*B*a^2*m*x+16*B*a*b*x^2+26*A*a^2*m+24*A*a*b*x+12*B*a^2*x+24*A*a^2)/(m+4)/(m+3)/(m+2)/(m+1)","B"
839,0,0,75,1.159000," ","int(x^m*(B*x+A)/(b^2*x^2+2*a*b*x+a^2),x)","\int \frac{\left(B x +A \right) x^{m}}{b^{2} x^{2}+2 a b x +a^{2}}\, dx"," ",0,"int(x^m*(B*x+A)/(b^2*x^2+2*a*b*x+a^2),x)","F"
840,0,0,79,1.085000," ","int(x^m*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2,x)","\int \frac{\left(B x +A \right) x^{m}}{\left(b^{2} x^{2}+2 a b x +a^{2}\right)^{2}}\, dx"," ",0,"int(x^m*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2,x)","F"
841,1,1096,143,0.050000," ","int(x^m*(x+1)*(x^2+2*x+1)^5,x)","\frac{\left(m^{11} x^{11}+11 m^{11} x^{10}+66 m^{10} x^{11}+55 m^{11} x^{9}+737 m^{10} x^{10}+1925 m^{9} x^{11}+165 m^{11} x^{8}+3740 m^{10} x^{9}+21780 m^{9} x^{10}+32670 m^{8} x^{11}+330 m^{11} x^{7}+11385 m^{10} x^{8}+112035 m^{9} x^{9}+373890 m^{8} x^{10}+357423 m^{7} x^{11}+462 m^{11} x^{6}+23100 m^{10} x^{7}+345840 m^{9} x^{8}+1947000 m^{8} x^{9}+4131303 m^{7} x^{10}+2637558 m^{6} x^{11}+462 m^{11} x^{5}+32802 m^{10} x^{6}+711810 m^{9} x^{7}+6089490 m^{8} x^{8}+21750465 m^{7} x^{9}+30748641 m^{6} x^{10}+13339535 m^{5} x^{11}+330 m^{11} x^{4}+33264 m^{10} x^{5}+1025640 m^{9} x^{6}+12709620 m^{8} x^{7}+68855985 m^{7} x^{8}+163460220 m^{6} x^{9}+156657490 m^{5} x^{10}+45995730 m^{4} x^{11}+165 m^{11} x^{3}+24090 m^{10} x^{4}+1055670 m^{9} x^{5}+18586260 m^{8} x^{6}+145645830 m^{7} x^{7}+523190745 m^{6} x^{8}+839860505 m^{5} x^{9}+543539260 m^{4} x^{10}+105258076 m^{3} x^{11}+55 m^{11} x^{2}+12210 m^{10} x^{3}+776160 m^{9} x^{4}+19431720 m^{8} x^{5}+216148086 m^{7} x^{6}+1120622580 m^{6} x^{7}+2714671410 m^{5} x^{8}+2935253200 m^{4} x^{9}+1250343336 m^{3} x^{10}+150917976 m^{2} x^{11}+11 m^{11} x +4125 m^{10} x^{2}+399465 m^{9} x^{3}+14523300 m^{8} x^{4}+229661586 m^{7} x^{5}+1687068306 m^{6} x^{6}+5881795590 m^{5} x^{7}+9569532060 m^{4} x^{8}+6793843980 m^{3} x^{9}+1800387072 m^{2} x^{10}+120543840 m \,x^{11}+m^{11}+836 m^{10} x +137060 m^{9} x^{2}+7604190 m^{8} x^{3}+174706290 m^{7} x^{4}+1822135392 m^{6} x^{5}+8976008580 m^{5} x^{6}+20948784780 m^{4} x^{7}+22313339400 m^{3} x^{8}+9832379040 m^{2} x^{9}+1442897280 m \,x^{10}+39916800 x^{11}+77 m^{10}+28215 m^{9} x +2656170 m^{8} x^{2}+93244635 m^{7} x^{3}+1412257770 m^{6} x^{4}+9852674370 m^{5} x^{5}+32372349240 m^{4} x^{6}+49287977640 m^{3} x^{7}+32492401920 m^{2} x^{8}+7911984960 m \,x^{9}+479001600 x^{10}+2640 m^{9}+557040 m^{8} x +33251955 m^{7} x^{2}+769916070 m^{6} x^{3}+7785487380 m^{5} x^{4}+36088363080 m^{4} x^{5}+77023113552 m^{3} x^{6}+72321091920 m^{2} x^{7}+26275708800 m \,x^{8}+2634508800 x^{9}+53130 m^{8}+7130013 m^{7} x +281209005 m^{6} x^{2}+4343723835 m^{5} x^{3}+29075712600 m^{4} x^{4}+87099379752 m^{3} x^{5}+114113083392 m^{2} x^{6}+58845916800 m \,x^{7}+8781696000 x^{8}+696333 m^{7}+61932948 m^{6} x +1630835690 m^{5} x^{2}+16626679410 m^{4} x^{3}+71499692880 m^{3} x^{4}+130678599744 m^{2} x^{5}+93588929280 m \,x^{6}+19758816000 x^{7}+6230301 m^{6}+371026645 m^{5} x +6441351180 m^{4} x^{2}+41932410300 m^{3} x^{3}+109126448640 m^{2} x^{4}+108308914560 m \,x^{5}+31614105600 x^{6}+38759930 m^{5}+1524718360 m^{4} x +16822322440 m^{3} x^{2}+65582815320 m^{2} x^{3}+91782408960 m \,x^{4}+36883123200 x^{5}+167310220 m^{4}+4179838476 m^{3} x +27303851520 m^{2} x^{2}+56376064800 m \,x^{3}+31614105600 x^{4}+489896616 m^{3}+7194486816 m^{2} x +24324220800 m \,x^{2}+19758816000 x^{3}+924118272 m^{2}+6858181440 m x +8781696000 x^{2}+1007441280 m +2634508800 x +479001600\right) x^{m +1}}{\left(m +12\right) \left(m +11\right) \left(m +10\right) \left(m +9\right) \left(m +8\right) \left(m +7\right) \left(m +6\right) \left(m +5\right) \left(m +4\right) \left(m +3\right) \left(m +2\right) \left(m +1\right)}"," ",0,"x^(m+1)*(m^11*x^11+11*m^11*x^10+66*m^10*x^11+55*m^11*x^9+737*m^10*x^10+1925*m^9*x^11+165*m^11*x^8+3740*m^10*x^9+21780*m^9*x^10+32670*m^8*x^11+330*m^11*x^7+11385*m^10*x^8+112035*m^9*x^9+373890*m^8*x^10+357423*m^7*x^11+462*m^11*x^6+23100*m^10*x^7+345840*m^9*x^8+1947000*m^8*x^9+4131303*m^7*x^10+2637558*m^6*x^11+462*m^11*x^5+32802*m^10*x^6+711810*m^9*x^7+6089490*m^8*x^8+21750465*m^7*x^9+30748641*m^6*x^10+13339535*m^5*x^11+330*m^11*x^4+33264*m^10*x^5+1025640*m^9*x^6+12709620*m^8*x^7+68855985*m^7*x^8+163460220*m^6*x^9+156657490*m^5*x^10+45995730*m^4*x^11+165*m^11*x^3+24090*m^10*x^4+1055670*m^9*x^5+18586260*m^8*x^6+145645830*m^7*x^7+523190745*m^6*x^8+839860505*m^5*x^9+543539260*m^4*x^10+105258076*m^3*x^11+55*m^11*x^2+12210*m^10*x^3+776160*m^9*x^4+19431720*m^8*x^5+216148086*m^7*x^6+1120622580*m^6*x^7+2714671410*m^5*x^8+2935253200*m^4*x^9+1250343336*m^3*x^10+150917976*m^2*x^11+11*m^11*x+4125*m^10*x^2+399465*m^9*x^3+14523300*m^8*x^4+229661586*m^7*x^5+1687068306*m^6*x^6+5881795590*m^5*x^7+9569532060*m^4*x^8+6793843980*m^3*x^9+1800387072*m^2*x^10+120543840*m*x^11+m^11+836*m^10*x+137060*m^9*x^2+7604190*m^8*x^3+174706290*m^7*x^4+1822135392*m^6*x^5+8976008580*m^5*x^6+20948784780*m^4*x^7+22313339400*m^3*x^8+9832379040*m^2*x^9+1442897280*m*x^10+39916800*x^11+77*m^10+28215*m^9*x+2656170*m^8*x^2+93244635*m^7*x^3+1412257770*m^6*x^4+9852674370*m^5*x^5+32372349240*m^4*x^6+49287977640*m^3*x^7+32492401920*m^2*x^8+7911984960*m*x^9+479001600*x^10+2640*m^9+557040*m^8*x+33251955*m^7*x^2+769916070*m^6*x^3+7785487380*m^5*x^4+36088363080*m^4*x^5+77023113552*m^3*x^6+72321091920*m^2*x^7+26275708800*m*x^8+2634508800*x^9+53130*m^8+7130013*m^7*x+281209005*m^6*x^2+4343723835*m^5*x^3+29075712600*m^4*x^4+87099379752*m^3*x^5+114113083392*m^2*x^6+58845916800*m*x^7+8781696000*x^8+696333*m^7+61932948*m^6*x+1630835690*m^5*x^2+16626679410*m^4*x^3+71499692880*m^3*x^4+130678599744*m^2*x^5+93588929280*m*x^6+19758816000*x^7+6230301*m^6+371026645*m^5*x+6441351180*m^4*x^2+41932410300*m^3*x^3+109126448640*m^2*x^4+108308914560*m*x^5+31614105600*x^6+38759930*m^5+1524718360*m^4*x+16822322440*m^3*x^2+65582815320*m^2*x^3+91782408960*m*x^4+36883123200*x^5+167310220*m^4+4179838476*m^3*x+27303851520*m^2*x^2+56376064800*m*x^3+31614105600*x^4+489896616*m^3+7194486816*m^2*x+24324220800*m*x^2+19758816000*x^3+924118272*m^2+6858181440*m*x+8781696000*x^2+1007441280*m+2634508800*x+479001600)/(12+m)/(m+11)/(m+10)/(m+9)/(m+8)/(m+7)/(m+6)/(m+5)/(m+4)/(m+3)/(m+2)/(m+1)","B"
842,1,2246,209,0.054000," ","int(x^m*(e*x+d)*(x^2+2*x+1)^5,x)","\frac{\left(e \,m^{11} x^{11}+d \,m^{11} x^{10}+10 e \,m^{11} x^{10}+66 e \,m^{10} x^{11}+10 d \,m^{11} x^{9}+67 d \,m^{10} x^{10}+45 e \,m^{11} x^{9}+670 e \,m^{10} x^{10}+1925 e \,m^{9} x^{11}+45 d \,m^{11} x^{8}+680 d \,m^{10} x^{9}+1980 d \,m^{9} x^{10}+120 e \,m^{11} x^{8}+3060 e \,m^{10} x^{9}+19800 e \,m^{9} x^{10}+32670 e \,m^{8} x^{11}+120 d \,m^{11} x^{7}+3105 d \,m^{10} x^{8}+20370 d \,m^{9} x^{9}+33990 d \,m^{8} x^{10}+210 e \,m^{11} x^{7}+8280 e \,m^{10} x^{8}+91665 e \,m^{9} x^{9}+339900 e \,m^{8} x^{10}+357423 e \,m^{7} x^{11}+210 d \,m^{11} x^{6}+8400 d \,m^{10} x^{7}+94320 d \,m^{9} x^{8}+354000 d \,m^{8} x^{9}+375573 d \,m^{7} x^{10}+252 e \,m^{11} x^{6}+14700 e \,m^{10} x^{7}+251520 e \,m^{9} x^{8}+1593000 e \,m^{8} x^{9}+3755730 e \,m^{7} x^{10}+2637558 e \,m^{6} x^{11}+252 d \,m^{11} x^{5}+14910 d \,m^{10} x^{6}+258840 d \,m^{9} x^{7}+1660770 d \,m^{8} x^{8}+3954630 d \,m^{7} x^{9}+2795331 d \,m^{6} 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d \,m^{9} x^{4}+10599120 d \,m^{8} x^{5}+98249130 d \,m^{7} x^{6}+407499120 d \,m^{6} x^{7}+740364930 d \,m^{5} x^{8}+533682400 d \,m^{4} x^{9}+113667576 d \,m^{3} x^{10}+10 e \,m^{11} x^{2}+3330 e \,m^{10} x^{3}+282240 e \,m^{9} x^{4}+8832600 e \,m^{8} x^{5}+117898956 e \,m^{7} x^{6}+713123460 e \,m^{6} x^{7}+1974306480 e \,m^{5} x^{8}+2401570800 e \,m^{4} x^{9}+1136675760 e \,m^{3} x^{10}+150917976 e \,m^{2} x^{11}+10 d \,m^{11} x +3375 d \,m^{10} x^{2}+290520 d \,m^{9} x^{3}+9242100 d \,m^{8} x^{4}+125269956 d \,m^{7} x^{5}+766849230 d \,m^{6} x^{6}+2138834760 d \,m^{5} x^{7}+2609872380 d \,m^{4} x^{8}+1235244360 d \,m^{3} x^{9}+163671552 d \,m^{2} x^{10}+e \,m^{11} x +750 e \,m^{10} x^{2}+108945 e \,m^{9} x^{3}+5281200 e \,m^{8} x^{4}+104391630 e \,m^{7} x^{5}+920219076 e \,m^{6} x^{6}+3742960830 e \,m^{5} x^{7}+6959659680 e \,m^{4} x^{8}+5558599620 e \,m^{3} x^{9}+1636715520 e \,m^{2} x^{10}+120543840 e m \,x^{11}+d \,m^{11}+760 d \,m^{10} x +112140 d \,m^{9} x^{2}+5530320 d 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\,m^{2} x^{5}+42540422400 d m \,x^{6}+7185024000 d \,x^{7}+5630268 e \,m^{6} x +296515580 e \,m^{5} x^{2}+4534548930 e \,m^{4} x^{3}+25999888320 e \,m^{3} x^{4}+59399363520 e \,m^{2} x^{5}+51048506880 e m \,x^{6}+12573792000 e \,x^{7}+6230301 d \,m^{6}+337296950 d \,m^{5} x +5270196420 d \,m^{4} x^{2}+30496298400 d \,m^{3} x^{3}+69444103680 d \,m^{2} x^{4}+59077589760 d m \,x^{5}+14370048000 d \,x^{6}+33729695 e \,m^{5} x +1171154760 e \,m^{4} x^{2}+11436111900 e \,m^{3} x^{3}+39682344960 e \,m^{2} x^{4}+49231324800 e m \,x^{5}+17244057600 e \,x^{6}+38759930 d \,m^{5}+1386107600 d \,m^{4} x +13763718360 d \,m^{3} x^{2}+47696592960 d \,m^{2} x^{3}+58406987520 d m \,x^{4}+20118067200 d \,x^{5}+138610760 e \,m^{4} x +3058604080 e \,m^{3} x^{2}+17886222360 e \,m^{2} x^{3}+33375421440 e m \,x^{4}+16765056000 e \,x^{5}+167310220 d \,m^{4}+3799853160 d \,m^{3} x +22339514880 d \,m^{2} x^{2}+41000774400 d m \,x^{3}+20118067200 d \,x^{4}+379985316 e \,m^{3} x +4964336640 e \,m^{2} x^{2}+15375290400 e m \,x^{3}+11496038400 e \,x^{4}+489896616 d \,m^{3}+6540442560 d \,m^{2} x +19901635200 d m \,x^{2}+14370048000 d \,x^{3}+654044256 e \,m^{2} x +4422585600 e m \,x^{2}+5388768000 e \,x^{3}+924118272 d \,m^{2}+6234710400 d m x +7185024000 d \,x^{2}+623471040 e m x +1596672000 e \,x^{2}+1007441280 d m +2395008000 d x +239500800 e x +479001600 d \right) x^{m +1}}{\left(m +12\right) \left(m +11\right) \left(m +10\right) \left(m +9\right) \left(m +8\right) \left(m +7\right) \left(m +6\right) \left(m +5\right) \left(m +4\right) \left(m +3\right) \left(m +2\right) \left(m +1\right)}"," ",0,"x^(m+1)*(e*m^11*x^11+d*m^11*x^10+10*e*m^11*x^10+66*e*m^10*x^11+10*d*m^11*x^9+67*d*m^10*x^10+45*e*m^11*x^9+670*e*m^10*x^10+1925*e*m^9*x^11+45*d*m^11*x^8+680*d*m^10*x^9+1980*d*m^9*x^10+120*e*m^11*x^8+3060*e*m^10*x^9+19800*e*m^9*x^10+32670*e*m^8*x^11+120*d*m^11*x^7+3105*d*m^10*x^8+20370*d*m^9*x^9+33990*d*m^8*x^10+210*e*m^11*x^7+8280*e*m^10*x^8+91665*e*m^9*x^9+339900*e*m^8*x^10+357423*e*m^7*x^11+210*d*m^11*x^6+8400*d*m^10*x^7+94320*d*m^9*x^8+354000*d*m^8*x^9+375573*d*m^7*x^10+252*e*m^11*x^6+14700*e*m^10*x^7+251520*e*m^9*x^8+1593000*e*m^8*x^9+3755730*e*m^7*x^10+2637558*e*m^6*x^11+252*d*m^11*x^5+14910*d*m^10*x^6+258840*d*m^9*x^7+1660770*d*m^8*x^8+3954630*d*m^7*x^9+2795331*d*m^6*x^10+210*e*m^11*x^5+17892*e*m^10*x^6+452970*e*m^9*x^7+4428720*e*m^8*x^8+17795835*e*m^7*x^9+27953310*e*m^6*x^10+13339535*e*m^5*x^11+210*d*m^11*x^4+18144*d*m^10*x^5+466200*d*m^9*x^6+4621680*d*m^8*x^7+18778905*d*m^7*x^8+29720040*d*m^6*x^9+14241590*d*m^5*x^10+120*e*m^11*x^4+15120*e*m^10*x^5+559440*e*m^9*x^6+8087940*e*m^8*x^7+50077080*e*m^7*x^8+133740180*e*m^6*x^9+142415900*e*m^5*x^10+45995730*e*m^4*x^11+120*d*m^11*x^3+15330*d*m^10*x^4+575820*d*m^9*x^5+8448300*d*m^8*x^6+52962120*d*m^7*x^7+142688385*d*m^6*x^8+152701910*d*m^5*x^9+49412660*d*m^4*x^10+45*e*m^11*x^3+8760*e*m^10*x^4+479850*e*m^9*x^5+10137960*e*m^8*x^6+92683710*e*m^7*x^7+380502360*e*m^6*x^8+687158595*e*m^5*x^9+494126600*e*m^4*x^10+105258076*e*m^3*x^11+45*d*m^11*x^2+8880*d*m^10*x^3+493920*d*m^9*x^4+10599120*d*m^8*x^5+98249130*d*m^7*x^6+407499120*d*m^6*x^7+740364930*d*m^5*x^8+533682400*d*m^4*x^9+113667576*d*m^3*x^10+10*e*m^11*x^2+3330*e*m^10*x^3+282240*e*m^9*x^4+8832600*e*m^8*x^5+117898956*e*m^7*x^6+713123460*e*m^6*x^7+1974306480*e*m^5*x^8+2401570800*e*m^4*x^9+1136675760*e*m^3*x^10+150917976*e*m^2*x^11+10*d*m^11*x+3375*d*m^10*x^2+290520*d*m^9*x^3+9242100*d*m^8*x^4+125269956*d*m^7*x^5+766849230*d*m^6*x^6+2138834760*d*m^5*x^7+2609872380*d*m^4*x^8+1235244360*d*m^3*x^9+163671552*d*m^2*x^10+e*m^11*x+750*e*m^10*x^2+108945*e*m^9*x^3+5281200*e*m^8*x^4+104391630*e*m^7*x^5+920219076*e*m^6*x^6+3742960830*e*m^5*x^7+6959659680*e*m^4*x^8+5558599620*e*m^3*x^9+1636715520*e*m^2*x^10+120543840*e*m*x^11+d*m^11+760*d*m^10*x+112140*d*m^9*x^2+5530320*d*m^8*x^3+111176730*d*m^7*x^4+993892032*d*m^6*x^5+4080003900*d*m^5*x^6+7617739920*d*m^4*x^7+6085456200*d*m^3*x^8+1787705280*d*m^2*x^9+131172480*d*m*x^10+76*e*m^10*x+24920*e*m^9*x^2+2073870*e*m^8*x^3+63529560*e*m^7*x^4+828243360*e*m^6*x^5+4896004680*e*m^5*x^6+13331044860*e*m^4*x^7+16227883200*e*m^3*x^8+8044673760*e*m^2*x^9+1311724800*e*m*x^10+39916800*e*x^11+77*d*m^10+25650*d*m^9*x+2173230*d*m^8*x^2+67814280*d*m^7*x^3+898709490*d*m^6*x^4+5374186020*d*m^5*x^5+14714704200*d*m^4*x^6+17922900960*d*m^3*x^7+8861564160*d*m^2*x^8+1438542720*d*m*x^9+43545600*d*x^10+2565*e*m^9*x+482940*e*m^8*x^2+25430355*e*m^7*x^3+513548280*e*m^6*x^4+4478488350*e*m^5*x^5+17657645040*e*m^4*x^6+31365076680*e*m^3*x^7+23630837760*e*m^2*x^8+6473442240*e*m*x^9+435456000*e*x^10+2640*d*m^9+506400*d*m^8*x+27206145*d*m^7*x^2+559938960*d*m^6*x^3+4954401060*d*m^5*x^4+19684561680*d*m^4*x^5+35010506160*d*m^3*x^6+26298578880*d*m^2*x^7+7166102400*d*m*x^8+479001600*d*x^9+50640*e*m^8*x+6045810*e*m^7*x^2+209977110*e*m^6*x^3+2831086320*e*m^5*x^4+16403801400*e*m^4*x^5+42012607392*e*m^3*x^6+46022513040*e*m^2*x^7+19109606400*e*m*x^8+2155507200*e*x^9+53130*d*m^8+6481830*d*m^7*x+230080095*d*m^6*x^2+3159071880*d*m^5*x^3+18502726200*d*m^4*x^4+47508752592*d*m^3*x^5+51869583360*d*m^2*x^6+21398515200*d*m*x^7+2395008000*d*x^8+648183*e*m^7*x+51128910*e*m^6*x^2+1184651955*e*m^5*x^3+10572986400*e*m^4*x^4+39590627160*e*m^3*x^5+62243500032*e*m^2*x^6+37447401600*e*m*x^7+6386688000*e*x^8+696333*d*m^7+56302680*d*m^6*x+1334320110*d*m^5*x^2+12092130480*d*m^4*x^3+45499804560*d*m^3*x^4+71279236224*d*m^2*x^5+42540422400*d*m*x^6+7185024000*d*x^7+5630268*e*m^6*x+296515580*e*m^5*x^2+4534548930*e*m^4*x^3+25999888320*e*m^3*x^4+59399363520*e*m^2*x^5+51048506880*e*m*x^6+12573792000*e*x^7+6230301*d*m^6+337296950*d*m^5*x+5270196420*d*m^4*x^2+30496298400*d*m^3*x^3+69444103680*d*m^2*x^4+59077589760*d*m*x^5+14370048000*d*x^6+33729695*e*m^5*x+1171154760*e*m^4*x^2+11436111900*e*m^3*x^3+39682344960*e*m^2*x^4+49231324800*e*m*x^5+17244057600*e*x^6+38759930*d*m^5+1386107600*d*m^4*x+13763718360*d*m^3*x^2+47696592960*d*m^2*x^3+58406987520*d*m*x^4+20118067200*d*x^5+138610760*e*m^4*x+3058604080*e*m^3*x^2+17886222360*e*m^2*x^3+33375421440*e*m*x^4+16765056000*e*x^5+167310220*d*m^4+3799853160*d*m^3*x+22339514880*d*m^2*x^2+41000774400*d*m*x^3+20118067200*d*x^4+379985316*e*m^3*x+4964336640*e*m^2*x^2+15375290400*e*m*x^3+11496038400*e*x^4+489896616*d*m^3+6540442560*d*m^2*x+19901635200*d*m*x^2+14370048000*d*x^3+654044256*e*m^2*x+4422585600*e*m*x^2+5388768000*e*x^3+924118272*d*m^2+6234710400*d*m*x+7185024000*d*x^2+623471040*e*m*x+1596672000*e*x^2+1007441280*d*m+2395008000*d*x+239500800*e*x+479001600*d)/(m+12)/(m+11)/(m+10)/(m+9)/(m+8)/(m+7)/(m+6)/(m+5)/(m+4)/(m+3)/(m+2)/(m+1)","B"
843,1,40,39,0.044000," ","int(x^3*(B*x+A)*(c*x^2+b*x+a),x)","\frac{B c \,x^{7}}{7}+\frac{A a \,x^{4}}{4}+\frac{\left(A c +b B \right) x^{6}}{6}+\frac{\left(A b +B a \right) x^{5}}{5}"," ",0,"1/4*A*a*x^4+1/5*(A*b+B*a)*x^5+1/6*(A*c+B*b)*x^6+1/7*B*c*x^7","A"
844,1,40,39,0.038000," ","int(x^2*(B*x+A)*(c*x^2+b*x+a),x)","\frac{B c \,x^{6}}{6}+\frac{A a \,x^{3}}{3}+\frac{\left(A c +b B \right) x^{5}}{5}+\frac{\left(A b +B a \right) x^{4}}{4}"," ",0,"1/3*A*a*x^3+1/4*(A*b+B*a)*x^4+1/5*(A*c+B*b)*x^5+1/6*B*c*x^6","A"
845,1,40,39,0.079000," ","int(x*(B*x+A)*(c*x^2+b*x+a),x)","\frac{B c \,x^{5}}{5}+\frac{A a \,x^{2}}{2}+\frac{\left(A c +b B \right) x^{4}}{4}+\frac{\left(A b +B a \right) x^{3}}{3}"," ",0,"1/2*A*a*x^2+1/3*(A*b+B*a)*x^3+1/4*(A*c+B*b)*x^4+1/5*B*c*x^5","A"
846,1,37,36,0.065000," ","int((B*x+A)*(c*x^2+b*x+a),x)","\frac{B c \,x^{4}}{4}+A a x +\frac{\left(A c +b B \right) x^{3}}{3}+\frac{\left(A b +B a \right) x^{2}}{2}"," ",0,"A*a*x+1/2*(A*b+B*a)*x^2+1/3*(A*c+B*b)*x^3+1/4*B*c*x^4","A"
847,1,36,34,0.044000," ","int((B*x+A)*(c*x^2+b*x+a)/x,x)","\frac{B c \,x^{3}}{3}+\frac{A c \,x^{2}}{2}+\frac{B b \,x^{2}}{2}+A a \ln \left(x \right)+A b x +B a x"," ",0,"1/3*B*c*x^3+1/2*A*c*x^2+1/2*B*b*x^2+A*b*x+B*a*x+A*a*ln(x)","A"
848,1,34,34,0.051000," ","int((B*x+A)*(c*x^2+b*x+a)/x^2,x)","\frac{B c \,x^{2}}{2}+A b \ln \left(x \right)+A c x +B a \ln \left(x \right)+B b x -\frac{A a}{x}"," ",0,"1/2*B*c*x^2+A*c*x+B*b*x-A*a/x+A*b*ln(x)+B*a*ln(x)","A"
849,1,37,35,0.051000," ","int((B*x+A)*(c*x^2+b*x+a)/x^3,x)","A c \ln \left(x \right)+B b \ln \left(x \right)+B c x -\frac{A b}{x}-\frac{B a}{x}-\frac{A a}{2 x^{2}}"," ",0,"B*c*x-1/2*A*a/x^2-A*b/x-B*a/x+A*c*ln(x)+B*b*ln(x)","A"
850,1,42,40,0.053000," ","int((B*x+A)*(c*x^2+b*x+a)/x^4,x)","B c \ln \left(x \right)-\frac{A c}{x}-\frac{B b}{x}-\frac{A b}{2 x^{2}}-\frac{B a}{2 x^{2}}-\frac{A a}{3 x^{3}}"," ",0,"-1/3*A*a/x^3-1/2*A*b/x^2-1/2*B*a/x^2-1/x*A*c-1/x*b*B+B*c*ln(x)","A"
851,1,40,43,0.055000," ","int((B*x+A)*(c*x^2+b*x+a)/x^5,x)","-\frac{B c}{x}-\frac{A a}{4 x^{4}}-\frac{A c +b B}{2 x^{2}}-\frac{A b +B a}{3 x^{3}}"," ",0,"-1/4*A*a/x^4-1/3*(A*b+B*a)/x^3-1/2*(A*c+B*b)/x^2-B*c/x","A"
852,1,40,43,0.050000," ","int((B*x+A)*(c*x^2+b*x+a)/x^6,x)","-\frac{B c}{2 x^{2}}-\frac{A a}{5 x^{5}}-\frac{A c +b B}{3 x^{3}}-\frac{A b +B a}{4 x^{4}}"," ",0,"-1/5*A*a/x^5-1/4*(A*b+B*a)/x^4-1/3*(A*c+B*b)/x^3-1/2*B*c/x^2","A"
853,1,40,43,0.046000," ","int((B*x+A)*(c*x^2+b*x+a)/x^7,x)","-\frac{B c}{3 x^{3}}-\frac{A a}{6 x^{6}}-\frac{A c +b B}{4 x^{4}}-\frac{A b +B a}{5 x^{5}}"," ",0,"-1/5*(A*b+B*a)/x^5-1/4*(A*c+B*b)/x^4-1/3*B*c/x^3-1/6*A*a/x^6","A"
854,1,40,43,0.059000," ","int((B*x+A)*(c*x^2+b*x+a)/x^8,x)","-\frac{B c}{4 x^{4}}-\frac{A a}{7 x^{7}}-\frac{A c +b B}{5 x^{5}}-\frac{A b +B a}{6 x^{6}}"," ",0,"-1/5*(A*c+B*b)/x^5-1/4*B*c/x^4-1/7*a*A/x^7-1/6*(A*b+B*a)/x^6","A"
855,1,94,89,0.050000," ","int(x^2*(B*x+A)*(c*x^2+b*x+a)^2,x)","\frac{B \,c^{2} x^{8}}{8}+\frac{\left(A \,c^{2}+2 b B c \right) x^{7}}{7}+\frac{A \,a^{2} x^{3}}{3}+\frac{\left(2 A b c +\left(2 a c +b^{2}\right) B \right) x^{6}}{6}+\frac{\left(2 B a b +\left(2 a c +b^{2}\right) A \right) x^{5}}{5}+\frac{\left(2 A a b +B \,a^{2}\right) x^{4}}{4}"," ",0,"1/8*B*c^2*x^8+1/7*(A*c^2+2*B*b*c)*x^7+1/6*(2*A*b*c+B*(2*a*c+b^2))*x^6+1/5*(2*a*b*B+A*(2*a*c+b^2))*x^5+1/4*(2*A*a*b+B*a^2)*x^4+1/3*A*a^2*x^3","A"
856,1,94,89,0.043000," ","int(x*(B*x+A)*(c*x^2+b*x+a)^2,x)","\frac{B \,c^{2} x^{7}}{7}+\frac{\left(A \,c^{2}+2 b B c \right) x^{6}}{6}+\frac{A \,a^{2} x^{2}}{2}+\frac{\left(2 A b c +\left(2 a c +b^{2}\right) B \right) x^{5}}{5}+\frac{\left(2 B a b +\left(2 a c +b^{2}\right) A \right) x^{4}}{4}+\frac{\left(2 A a b +B \,a^{2}\right) x^{3}}{3}"," ",0,"1/7*B*c^2*x^7+1/6*(A*c^2+2*B*b*c)*x^6+1/5*(2*A*b*c+(2*a*c+b^2)*B)*x^5+1/4*(2*B*a*b+(2*a*c+b^2)*A)*x^4+1/3*(2*A*a*b+B*a^2)*x^3+1/2*A*a^2*x^2","A"
857,1,91,86,0.040000," ","int((B*x+A)*(c*x^2+b*x+a)^2,x)","\frac{B \,c^{2} x^{6}}{6}+\frac{\left(A \,c^{2}+2 b B c \right) x^{5}}{5}+A \,a^{2} x +\frac{\left(2 A b c +\left(2 a c +b^{2}\right) B \right) x^{4}}{4}+\frac{\left(2 B a b +\left(2 a c +b^{2}\right) A \right) x^{3}}{3}+\frac{\left(2 A a b +B \,a^{2}\right) x^{2}}{2}"," ",0,"1/6*B*c^2*x^6+1/5*(A*c^2+2*B*b*c)*x^5+1/4*(2*A*b*c+(2*a*c+b^2)*B)*x^4+1/3*(2*B*a*b+(2*a*c+b^2)*A)*x^3+1/2*(2*A*a*b+B*a^2)*x^2+A*a^2*x","A"
858,1,95,84,0.050000," ","int((B*x+A)*(c*x^2+b*x+a)^2/x,x)","\frac{B \,c^{2} x^{5}}{5}+\frac{A \,c^{2} x^{4}}{4}+\frac{B b c \,x^{4}}{2}+\frac{2 A b c \,x^{3}}{3}+\frac{2 B a c \,x^{3}}{3}+\frac{B \,b^{2} x^{3}}{3}+A a c \,x^{2}+\frac{A \,b^{2} x^{2}}{2}+B a b \,x^{2}+A \,a^{2} \ln \left(x \right)+2 A a b x +B \,a^{2} x"," ",0,"1/5*B*c^2*x^5+1/4*A*c^2*x^4+1/2*B*x^4*b*c+2/3*A*x^3*b*c+2/3*B*a*c*x^3+1/3*B*b^2*x^3+A*a*c*x^2+1/2*A*b^2*x^2+B*a*b*x^2+2*A*a*b*x+B*a^2*x+A*a^2*ln(x)","A"
859,1,92,84,0.052000," ","int((B*x+A)*(c*x^2+b*x+a)^2/x^2,x)","\frac{B \,c^{2} x^{4}}{4}+\frac{A \,c^{2} x^{3}}{3}+\frac{2 B b c \,x^{3}}{3}+A b c \,x^{2}+B a c \,x^{2}+\frac{B \,b^{2} x^{2}}{2}+2 A a b \ln \left(x \right)+2 A a c x +A \,b^{2} x +B \,a^{2} \ln \left(x \right)+2 B a b x -\frac{A \,a^{2}}{x}"," ",0,"1/4*B*c^2*x^4+1/3*A*c^2*x^3+2/3*B*x^3*b*c+A*b*c*x^2+B*a*c*x^2+1/2*B*b^2*x^2+2*A*a*c*x+A*b^2*x+2*B*a*b*x-A*a^2/x+2*A*a*b*ln(x)+B*a^2*ln(x)","A"
860,1,92,84,0.055000," ","int((B*x+A)*(c*x^2+b*x+a)^2/x^3,x)","\frac{B \,c^{2} x^{3}}{3}+\frac{A \,c^{2} x^{2}}{2}+B b c \,x^{2}+2 A a c \ln \left(x \right)+A \,b^{2} \ln \left(x \right)+2 A b c x +2 B a b \ln \left(x \right)+2 B a c x +B \,b^{2} x -\frac{2 A a b}{x}-\frac{B \,a^{2}}{x}-\frac{A \,a^{2}}{2 x^{2}}"," ",0,"1/3*B*c^2*x^3+1/2*A*c^2*x^2+B*x^2*b*c+2*A*b*c*x+2*B*a*c*x+B*b^2*x-1/2*A*a^2/x^2-2*a/x*A*b-B*a^2/x+2*A*a*c*ln(x)+A*b^2*ln(x)+2*B*ln(x)*a*b","A"
861,1,95,84,0.057000," ","int((B*x+A)*(c*x^2+b*x+a)^2/x^4,x)","\frac{B \,c^{2} x^{2}}{2}+2 A b c \ln \left(x \right)+A \,c^{2} x +2 B a c \ln \left(x \right)+B \,b^{2} \ln \left(x \right)+2 B b c x -\frac{2 A a c}{x}-\frac{A \,b^{2}}{x}-\frac{2 B a b}{x}-\frac{A a b}{x^{2}}-\frac{B \,a^{2}}{2 x^{2}}-\frac{A \,a^{2}}{3 x^{3}}"," ",0,"1/2*B*c^2*x^2+A*c^2*x+2*b*B*c*x-1/3*A*a^2/x^3-A*a*b/x^2-1/2*B*a^2/x^2-2/x*A*a*c-A*b^2/x-2*B*a*b/x+2*A*ln(x)*b*c+2*B*ln(x)*a*c+B*b^2*ln(x)","A"
862,1,98,85,0.051000," ","int((B*x+A)*(c*x^2+b*x+a)^2/x^5,x)","A \,c^{2} \ln \left(x \right)+2 B b c \ln \left(x \right)+B \,c^{2} x -\frac{2 A b c}{x}-\frac{2 B a c}{x}-\frac{B \,b^{2}}{x}-\frac{A a c}{x^{2}}-\frac{A \,b^{2}}{2 x^{2}}-\frac{B a b}{x^{2}}-\frac{2 A a b}{3 x^{3}}-\frac{B \,a^{2}}{3 x^{3}}-\frac{A \,a^{2}}{4 x^{4}}"," ",0,"B*c^2*x-1/4*A*a^2/x^4-2/3*a/x^3*A*b-1/3*a^2/x^3*B-1/x^2*A*a*c-1/2*A*b^2/x^2-1/x^2*B*a*b-2/x*A*b*c-2/x*a*B*c-1/x*b^2*B+A*ln(x)*c^2+2*B*ln(x)*b*c","A"
863,1,102,89,0.054000," ","int((B*x+A)*(c*x^2+b*x+a)^2/x^6,x)","B \,c^{2} \ln \left(x \right)-\frac{A \,c^{2}}{x}-\frac{2 B b c}{x}-\frac{A b c}{x^{2}}-\frac{B a c}{x^{2}}-\frac{B \,b^{2}}{2 x^{2}}-\frac{2 A a c}{3 x^{3}}-\frac{A \,b^{2}}{3 x^{3}}-\frac{2 B a b}{3 x^{3}}-\frac{A a b}{2 x^{4}}-\frac{B \,a^{2}}{4 x^{4}}-\frac{A \,a^{2}}{5 x^{5}}"," ",0,"-1/5*A*a^2/x^5-1/2*a/x^4*A*b-1/4*a^2/x^4*B-2/3/x^3*A*a*c-1/3*A*b^2/x^3-2/3/x^3*B*a*b-1/x^2*A*b*c-1/x^2*a*B*c-1/2*B*b^2/x^2-c^2/x*A-2*c/x*b*B+B*c^2*ln(x)","A"
864,1,90,91,0.054000," ","int((B*x+A)*(c*x^2+b*x+a)^2/x^7,x)","-\frac{B \,c^{2}}{x}-\frac{\left(A c +2 b B \right) c}{2 x^{2}}-\frac{A \,a^{2}}{6 x^{6}}-\frac{2 A b c +2 a B c +b^{2} B}{3 x^{3}}-\frac{\left(2 A b +B a \right) a}{5 x^{5}}-\frac{2 A a c +A \,b^{2}+2 B a b}{4 x^{4}}"," ",0,"-1/5*(2*A*b+B*a)*a/x^5-1/4*(2*A*a*c+A*b^2+2*B*a*b)/x^4-1/3*(2*A*b*c+2*B*a*c+B*b^2)/x^3-1/2*(A*c+2*B*b)*c/x^2-1/6*A*a^2/x^6-B*c^2/x","A"
865,1,90,91,0.047000," ","int((B*x+A)*(c*x^2+b*x+a)^2/x^8,x)","-\frac{B \,c^{2}}{2 x^{2}}-\frac{\left(A c +2 b B \right) c}{3 x^{3}}-\frac{A \,a^{2}}{7 x^{7}}-\frac{2 A b c +2 a B c +b^{2} B}{4 x^{4}}-\frac{\left(2 A b +B a \right) a}{6 x^{6}}-\frac{2 A a c +A \,b^{2}+2 B a b}{5 x^{5}}"," ",0,"-1/5*(2*A*a*c+A*b^2+2*B*a*b)/x^5-1/4*(2*A*b*c+2*B*a*c+B*b^2)/x^4-1/3*(A*c+2*B*b)*c/x^3-1/2*B*c^2/x^2-1/7*A*a^2/x^7-1/6*(2*A*b+B*a)*a/x^6","A"
866,1,90,91,0.054000," ","int((B*x+A)*(c*x^2+b*x+a)^2/x^9,x)","-\frac{B \,c^{2}}{3 x^{3}}-\frac{\left(A c +2 b B \right) c}{4 x^{4}}-\frac{A \,a^{2}}{8 x^{8}}-\frac{2 A b c +2 a B c +b^{2} B}{5 x^{5}}-\frac{\left(2 A b +B a \right) a}{7 x^{7}}-\frac{2 A a c +A \,b^{2}+2 B a b}{6 x^{6}}"," ",0,"-1/5*(2*A*b*c+2*B*a*c+B*b^2)/x^5-1/4*c*(A*c+2*B*b)/x^4-1/3*B*c^2/x^3-1/8*A*a^2/x^8-1/7*a*(2*A*b+B*a)/x^7-1/6*(2*A*a*c+A*b^2+2*B*a*b)/x^6","A"
867,1,226,150,0.044000," ","int(x^2*(B*x+A)*(c*x^2+b*x+a)^3,x)","\frac{B \,c^{3} x^{10}}{10}+\frac{\left(A \,c^{3}+3 B b \,c^{2}\right) x^{9}}{9}+\frac{\left(3 A b \,c^{2}+\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) B \right) x^{8}}{8}+\frac{A \,a^{3} x^{3}}{3}+\frac{\left(\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) A +\left(4 a b c +\left(2 a c +b^{2}\right) b \right) B \right) x^{7}}{7}+\frac{\left(\left(4 a b c +\left(2 a c +b^{2}\right) b \right) A +\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) B \right) x^{6}}{6}+\frac{\left(3 B \,a^{2} b +\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) A \right) x^{5}}{5}+\frac{\left(3 A \,a^{2} b +B \,a^{3}\right) x^{4}}{4}"," ",0,"1/10*B*c^3*x^10+1/9*(A*c^3+3*B*b*c^2)*x^9+1/8*(3*A*b*c^2+B*(a*c^2+2*b^2*c+c*(2*a*c+b^2)))*x^8+1/7*(A*(a*c^2+2*b^2*c+c*(2*a*c+b^2))+B*(4*a*b*c+b*(2*a*c+b^2)))*x^7+1/6*(A*(4*a*b*c+b*(2*a*c+b^2))+B*(a*(2*a*c+b^2)+2*a*b^2+c*a^2))*x^6+1/5*(A*(a*(2*a*c+b^2)+2*a*b^2+c*a^2)+3*B*a^2*b)*x^5+1/4*(3*A*a^2*b+B*a^3)*x^4+1/3*A*a^3*x^3","A"
868,1,226,150,0.042000," ","int(x*(B*x+A)*(c*x^2+b*x+a)^3,x)","\frac{B \,c^{3} x^{9}}{9}+\frac{\left(A \,c^{3}+3 B b \,c^{2}\right) x^{8}}{8}+\frac{\left(3 A b \,c^{2}+\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) B \right) x^{7}}{7}+\frac{A \,a^{3} x^{2}}{2}+\frac{\left(\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) A +\left(4 a b c +\left(2 a c +b^{2}\right) b \right) B \right) x^{6}}{6}+\frac{\left(\left(4 a b c +\left(2 a c +b^{2}\right) b \right) A +\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) B \right) x^{5}}{5}+\frac{\left(3 B \,a^{2} b +\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) A \right) x^{4}}{4}+\frac{\left(3 A \,a^{2} b +B \,a^{3}\right) x^{3}}{3}"," ",0,"1/9*B*c^3*x^9+1/8*(A*c^3+3*B*b*c^2)*x^8+1/7*(3*A*b*c^2+(a*c^2+2*b^2*c+(2*a*c+b^2)*c)*B)*x^7+1/6*((a*c^2+2*b^2*c+(2*a*c+b^2)*c)*A+(4*a*b*c+(2*a*c+b^2)*b)*B)*x^6+1/5*((4*a*b*c+(2*a*c+b^2)*b)*A+(a^2*c+2*a*b^2+(2*a*c+b^2)*a)*B)*x^5+1/4*(3*B*a^2*b+(a^2*c+2*a*b^2+(2*a*c+b^2)*a)*A)*x^4+1/3*(3*A*a^2*b+B*a^3)*x^3+1/2*A*a^3*x^2","A"
869,1,223,146,0.046000," ","int((B*x+A)*(c*x^2+b*x+a)^3,x)","\frac{B \,c^{3} x^{8}}{8}+\frac{\left(A \,c^{3}+3 B b \,c^{2}\right) x^{7}}{7}+\frac{\left(3 A b \,c^{2}+\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) B \right) x^{6}}{6}+A \,a^{3} x +\frac{\left(\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) A +\left(4 a b c +\left(2 a c +b^{2}\right) b \right) B \right) x^{5}}{5}+\frac{\left(\left(4 a b c +\left(2 a c +b^{2}\right) b \right) A +\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) B \right) x^{4}}{4}+\frac{\left(3 B \,a^{2} b +\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) A \right) x^{3}}{3}+\frac{\left(3 A \,a^{2} b +B \,a^{3}\right) x^{2}}{2}"," ",0,"1/8*B*c^3*x^8+1/7*(A*c^3+3*B*b*c^2)*x^7+1/6*(3*A*b*c^2+(a*c^2+2*b^2*c+(2*a*c+b^2)*c)*B)*x^6+1/5*((a*c^2+2*b^2*c+(2*a*c+b^2)*c)*A+(4*a*b*c+(2*a*c+b^2)*b)*B)*x^5+1/4*((4*a*b*c+(2*a*c+b^2)*b)*A+(a^2*c+2*a*b^2+(2*a*c+b^2)*a)*B)*x^4+1/3*(3*B*a^2*b+(a^2*c+2*a*b^2+(2*a*c+b^2)*a)*A)*x^3+1/2*(3*A*a^2*b+B*a^3)*x^2+A*a^3*x","A"
870,1,185,145,0.053000," ","int((B*x+A)*(c*x^2+b*x+a)^3/x,x)","\frac{B \,c^{3} x^{7}}{7}+\frac{A \,c^{3} x^{6}}{6}+\frac{B b \,c^{2} x^{6}}{2}+\frac{3 A b \,c^{2} x^{5}}{5}+\frac{3 B a \,c^{2} x^{5}}{5}+\frac{3 B \,b^{2} c \,x^{5}}{5}+\frac{3 A a \,c^{2} x^{4}}{4}+\frac{3 A \,b^{2} c \,x^{4}}{4}+\frac{3 B a b c \,x^{4}}{2}+\frac{B \,b^{3} x^{4}}{4}+2 A a b c \,x^{3}+\frac{A \,b^{3} x^{3}}{3}+B \,a^{2} c \,x^{3}+B a \,b^{2} x^{3}+\frac{3 A \,a^{2} c \,x^{2}}{2}+\frac{3 A a \,b^{2} x^{2}}{2}+\frac{3 B \,a^{2} b \,x^{2}}{2}+A \,a^{3} \ln \left(x \right)+3 A \,a^{2} b x +B \,a^{3} x"," ",0,"1/7*B*c^3*x^7+1/6*A*c^3*x^6+1/2*B*x^6*b*c^2+3/5*A*x^5*b*c^2+3/5*B*a*c^2*x^5+3/5*B*x^5*b^2*c+3/4*A*a*c^2*x^4+3/4*A*x^4*b^2*c+3/2*B*x^4*a*b*c+1/4*B*b^3*x^4+2*A*x^3*a*b*c+1/3*A*b^3*x^3+B*a^2*c*x^3+B*a*b^2*x^3+3/2*A*a^2*c*x^2+3/2*A*x^2*a*b^2+3/2*B*a^2*b*x^2+3*A*a^2*b*x+B*a^3*x+A*a^3*ln(x)","A"
871,1,183,146,0.056000," ","int((B*x+A)*(c*x^2+b*x+a)^3/x^2,x)","\frac{B \,c^{3} x^{6}}{6}+\frac{A \,c^{3} x^{5}}{5}+\frac{3 B b \,c^{2} x^{5}}{5}+\frac{3 A b \,c^{2} x^{4}}{4}+\frac{3 B a \,c^{2} x^{4}}{4}+\frac{3 B \,b^{2} c \,x^{4}}{4}+A a \,c^{2} x^{3}+A \,b^{2} c \,x^{3}+2 B a b c \,x^{3}+\frac{B \,b^{3} x^{3}}{3}+3 A a b c \,x^{2}+\frac{A \,b^{3} x^{2}}{2}+\frac{3 B \,a^{2} c \,x^{2}}{2}+\frac{3 B a \,b^{2} x^{2}}{2}+3 A \,a^{2} b \ln \left(x \right)+3 A \,a^{2} c x +3 A a \,b^{2} x +B \,a^{3} \ln \left(x \right)+3 B \,a^{2} b x -\frac{A \,a^{3}}{x}"," ",0,"1/6*B*c^3*x^6+1/5*A*c^3*x^5+3/5*B*x^5*b*c^2+3/4*A*b*c^2*x^4+3/4*B*a*c^2*x^4+3/4*B*x^4*b^2*c+A*a*c^2*x^3+A*x^3*b^2*c+2*B*x^3*a*b*c+1/3*b^3*B*x^3+3*A*x^2*a*b*c+1/2*A*x^2*b^3+3/2*B*a^2*c*x^2+3/2*B*x^2*a*b^2+3*A*a^2*c*x+3*A*a*b^2*x+3*B*a^2*b*x-A*a^3/x+3*A*ln(x)*a^2*b+B*a^3*ln(x)","A"
872,1,179,145,0.056000," ","int((B*x+A)*(c*x^2+b*x+a)^3/x^3,x)","\frac{B \,c^{3} x^{5}}{5}+\frac{A \,c^{3} x^{4}}{4}+\frac{3 B b \,c^{2} x^{4}}{4}+A b \,c^{2} x^{3}+B a \,c^{2} x^{3}+B \,b^{2} c \,x^{3}+\frac{3 A a \,c^{2} x^{2}}{2}+\frac{3 A \,b^{2} c \,x^{2}}{2}+3 B a b c \,x^{2}+\frac{B \,b^{3} x^{2}}{2}+3 A \,a^{2} c \ln \left(x \right)+3 A a \,b^{2} \ln \left(x \right)+6 A a b c x +A \,b^{3} x +3 B \,a^{2} b \ln \left(x \right)+3 B \,a^{2} c x +3 B a \,b^{2} x -\frac{3 A \,a^{2} b}{x}-\frac{B \,a^{3}}{x}-\frac{A \,a^{3}}{2 x^{2}}"," ",0,"1/5*B*c^3*x^5+1/4*A*c^3*x^4+3/4*B*x^4*b*c^2+A*x^3*b*c^2+B*a*c^2*x^3+B*x^3*b^2*c+3/2*A*a*c^2*x^2+3/2*A*b^2*c*x^2+3*B*x^2*a*b*c+1/2*B*x^2*b^3+6*A*a*b*c*x+A*b^3*x+3*B*a^2*c*x+3*B*a*b^2*x-1/2*A*a^3/x^2-3*a^2/x*A*b-B*a^3/x+3*A*a^2*c*ln(x)+3*A*ln(x)*a*b^2+3*B*ln(x)*a^2*b","A"
873,1,179,145,0.049000," ","int((B*x+A)*(c*x^2+b*x+a)^3/x^4,x)","\frac{B \,c^{3} x^{4}}{4}+\frac{A \,c^{3} x^{3}}{3}+B b \,c^{2} x^{3}+\frac{3 A b \,c^{2} x^{2}}{2}+\frac{3 B a \,c^{2} x^{2}}{2}+\frac{3 B \,b^{2} c \,x^{2}}{2}+6 A a b c \ln \left(x \right)+3 A a \,c^{2} x +A \,b^{3} \ln \left(x \right)+3 A \,b^{2} c x +3 B \,a^{2} c \ln \left(x \right)+3 B a \,b^{2} \ln \left(x \right)+6 B a b c x +B \,b^{3} x -\frac{3 A \,a^{2} c}{x}-\frac{3 A a \,b^{2}}{x}-\frac{3 B \,a^{2} b}{x}-\frac{3 A \,a^{2} b}{2 x^{2}}-\frac{B \,a^{3}}{2 x^{2}}-\frac{A \,a^{3}}{3 x^{3}}"," ",0,"1/4*B*c^3*x^4+1/3*A*x^3*c^3+B*x^3*b*c^2+3/2*A*x^2*b*c^2+3/2*B*x^2*a*c^2+3/2*B*x^2*b^2*c+3*A*a*c^2*x+3*A*b^2*c*x+6*a*b*B*c*x+b^3*B*x-1/3*A*a^3/x^3-3/2*a^2/x^2*A*b-1/2*B*a^3/x^2-3*a^2/x*A*c-3*a/x*A*b^2-3*a^2/x*B*b+6*A*ln(x)*a*b*c+A*b^3*ln(x)+3*B*ln(x)*a^2*c+3*B*ln(x)*a*b^2","A"
874,1,183,146,0.072000," ","int((B*x+A)*(c*x^2+b*x+a)^3/x^5,x)","\frac{B \,c^{3} x^{3}}{3}+\frac{A \,c^{3} x^{2}}{2}+\frac{3 B b \,c^{2} x^{2}}{2}+3 A a \,c^{2} \ln \left(x \right)+3 A \,b^{2} c \ln \left(x \right)+3 A b \,c^{2} x +6 B a b c \ln \left(x \right)+3 B a \,c^{2} x +B \,b^{3} \ln \left(x \right)+3 B \,b^{2} c x -\frac{6 A a b c}{x}-\frac{A \,b^{3}}{x}-\frac{3 B \,a^{2} c}{x}-\frac{3 B a \,b^{2}}{x}-\frac{3 A \,a^{2} c}{2 x^{2}}-\frac{3 A a \,b^{2}}{2 x^{2}}-\frac{3 B \,a^{2} b}{2 x^{2}}-\frac{A \,a^{2} b}{x^{3}}-\frac{B \,a^{3}}{3 x^{3}}-\frac{A \,a^{3}}{4 x^{4}}"," ",0,"1/3*B*c^3*x^3+1/2*A*x^2*c^3+3/2*B*x^2*b*c^2+3*A*b*c^2*x+3*B*a*c^2*x+3*B*b^2*c*x-1/4*a^3*A/x^4-a^2/x^3*A*b-1/3*a^3/x^3*B-3/2*a^2/x^2*A*c-3/2*a/x^2*A*b^2-3/2*a^2/x^2*B*b-6/x*A*a*b*c-A*b^3/x-3/x*B*a^2*c-3/x*B*a*b^2+3*A*ln(x)*a*c^2+3*A*ln(x)*b^2*c+6*B*ln(x)*a*b*c+B*ln(x)*b^3","A"
875,1,186,147,0.054000," ","int((B*x+A)*(c*x^2+b*x+a)^3/x^6,x)","\frac{B \,c^{3} x^{2}}{2}+3 A b \,c^{2} \ln \left(x \right)+A \,c^{3} x +3 B a \,c^{2} \ln \left(x \right)+3 B \,b^{2} c \ln \left(x \right)+3 B b \,c^{2} x -\frac{3 A a \,c^{2}}{x}-\frac{3 A \,b^{2} c}{x}-\frac{6 B a b c}{x}-\frac{B \,b^{3}}{x}-\frac{3 A a b c}{x^{2}}-\frac{A \,b^{3}}{2 x^{2}}-\frac{3 B \,a^{2} c}{2 x^{2}}-\frac{3 B a \,b^{2}}{2 x^{2}}-\frac{A \,a^{2} c}{x^{3}}-\frac{A a \,b^{2}}{x^{3}}-\frac{B \,a^{2} b}{x^{3}}-\frac{3 A \,a^{2} b}{4 x^{4}}-\frac{B \,a^{3}}{4 x^{4}}-\frac{A \,a^{3}}{5 x^{5}}"," ",0,"1/2*B*c^3*x^2+A*c^3*x+3*B*b*c^2*x-1/5*a^3*A/x^5-3/4*a^2/x^4*A*b-1/4*a^3/x^4*B-a^2/x^3*A*c-a/x^3*A*b^2-a^2/x^3*B*b-3/x^2*A*a*b*c-1/2*A*b^3/x^2-3/2/x^2*B*a^2*c-3/2/x^2*B*a*b^2-3/x*A*a*c^2-3/x*A*b^2*c-6/x*a*b*B*c-1/x*b^3*B+3*A*ln(x)*b*c^2+3*B*ln(x)*a*c^2+3*B*ln(x)*b^2*c","A"
876,1,188,147,0.058000," ","int((B*x+A)*(c*x^2+b*x+a)^3/x^7,x)","A \,c^{3} \ln \left(x \right)+3 B b \,c^{2} \ln \left(x \right)+B \,c^{3} x -\frac{3 A b \,c^{2}}{x}-\frac{3 B a \,c^{2}}{x}-\frac{3 B \,b^{2} c}{x}-\frac{3 A a \,c^{2}}{2 x^{2}}-\frac{3 A \,b^{2} c}{2 x^{2}}-\frac{3 B a b c}{x^{2}}-\frac{B \,b^{3}}{2 x^{2}}-\frac{2 A a b c}{x^{3}}-\frac{A \,b^{3}}{3 x^{3}}-\frac{B \,a^{2} c}{x^{3}}-\frac{B a \,b^{2}}{x^{3}}-\frac{3 A \,a^{2} c}{4 x^{4}}-\frac{3 A a \,b^{2}}{4 x^{4}}-\frac{3 B \,a^{2} b}{4 x^{4}}-\frac{3 A \,a^{2} b}{5 x^{5}}-\frac{B \,a^{3}}{5 x^{5}}-\frac{A \,a^{3}}{6 x^{6}}"," ",0,"B*c^3*x-3/5*a^2/x^5*A*b-1/5*a^3/x^5*B-3/4*a^2/x^4*A*c-3/4*a/x^4*A*b^2-3/4*a^2/x^4*B*b-2/x^3*A*a*b*c-1/3*A*b^3/x^3-1/x^3*B*a^2*c-1/x^3*B*a*b^2-3/2/x^2*A*a*c^2-3/2/x^2*A*b^2*c-3/x^2*a*b*B*c-1/2/x^2*b^3*B-1/6*a^3*A/x^6-3*c^2/x*A*b-3*c^2/x*a*B-3*c/x*b^2*B+A*ln(x)*c^3+3*B*ln(x)*b*c^2","A"
877,1,192,150,0.045000," ","int((B*x+A)*(c*x^2+b*x+a)^3/x^8,x)","B \,c^{3} \ln \left(x \right)-\frac{A \,c^{3}}{x}-\frac{3 B b \,c^{2}}{x}-\frac{3 A b \,c^{2}}{2 x^{2}}-\frac{3 B a \,c^{2}}{2 x^{2}}-\frac{3 B \,b^{2} c}{2 x^{2}}-\frac{A a \,c^{2}}{x^{3}}-\frac{A \,b^{2} c}{x^{3}}-\frac{2 B a b c}{x^{3}}-\frac{B \,b^{3}}{3 x^{3}}-\frac{3 A a b c}{2 x^{4}}-\frac{A \,b^{3}}{4 x^{4}}-\frac{3 B \,a^{2} c}{4 x^{4}}-\frac{3 B a \,b^{2}}{4 x^{4}}-\frac{3 A \,a^{2} c}{5 x^{5}}-\frac{3 A a \,b^{2}}{5 x^{5}}-\frac{3 B \,a^{2} b}{5 x^{5}}-\frac{A \,a^{2} b}{2 x^{6}}-\frac{B \,a^{3}}{6 x^{6}}-\frac{A \,a^{3}}{7 x^{7}}"," ",0,"-3/5*a^2/x^5*A*c-3/5*a/x^5*A*b^2-3/5*a^2/x^5*B*b-3/2/x^4*A*a*b*c-1/4*A*b^3/x^4-3/4/x^4*B*a^2*c-3/4/x^4*B*a*b^2-1/x^3*A*a*c^2-1/x^3*A*b^2*c-2/x^3*a*b*B*c-1/3/x^3*b^3*B-3/2*c^2/x^2*A*b-3/2*c^2/x^2*a*B-3/2*c/x^2*b^2*B-1/7*a^3*A/x^7-1/2*a^2/x^6*A*b-1/6*a^3/x^6*B-c^3/x*A-3*c^2/x*b*B+B*c^3*ln(x)","A"
878,1,154,152,0.047000," ","int((B*x+A)*(c*x^2+b*x+a)^3/x^9,x)","-\frac{B \,c^{3}}{x}-\frac{\left(A c +3 b B \right) c^{2}}{2 x^{2}}-\frac{\left(A b c +a B c +b^{2} B \right) c}{x^{3}}-\frac{A \,a^{3}}{8 x^{8}}-\frac{3 A a \,c^{2}+3 A \,b^{2} c +6 a b B c +b^{3} B}{4 x^{4}}-\frac{\left(3 A b +B a \right) a^{2}}{7 x^{7}}-\frac{\left(A a c +A \,b^{2}+B a b \right) a}{2 x^{6}}-\frac{6 A a b c +A \,b^{3}+3 B \,a^{2} c +3 B a \,b^{2}}{5 x^{5}}"," ",0,"-1/5*(6*A*a*b*c+A*b^3+3*B*a^2*c+3*B*a*b^2)/x^5-1/4*(3*A*a*c^2+3*A*b^2*c+6*B*a*b*c+B*b^3)/x^4-c*(A*b*c+B*a*c+B*b^2)/x^3-1/8*a^3*A/x^8-1/2*(A*c+3*B*b)*c^2/x^2-1/7*a^2*(3*A*b+B*a)/x^7-1/2*a*(A*a*c+A*b^2+B*a*b)/x^6-B*c^3/x","A"
879,1,154,152,0.062000," ","int((B*x+A)*(c*x^2+b*x+a)^3/x^10,x)","-\frac{B \,c^{3}}{2 x^{2}}-\frac{\left(A c +3 b B \right) c^{2}}{3 x^{3}}-\frac{3 \left(A b c +a B c +b^{2} B \right) c}{4 x^{4}}-\frac{A \,a^{3}}{9 x^{9}}-\frac{3 A a \,c^{2}+3 A \,b^{2} c +6 a b B c +b^{3} B}{5 x^{5}}-\frac{\left(3 A b +B a \right) a^{2}}{8 x^{8}}-\frac{3 \left(A a c +A \,b^{2}+B a b \right) a}{7 x^{7}}-\frac{6 A a b c +A \,b^{3}+3 B \,a^{2} c +3 B a \,b^{2}}{6 x^{6}}"," ",0,"-1/5*(3*A*a*c^2+3*A*b^2*c+6*B*a*b*c+B*b^3)/x^5-3/4*c*(A*b*c+B*a*c+B*b^2)/x^4-1/3*(A*c+3*B*b)*c^2/x^3-1/8*a^2*(3*A*b+B*a)/x^8-1/2*B*c^3/x^2-1/9*a^3*A/x^9-3/7*a*(A*a*c+A*b^2+B*a*b)/x^7-1/6*(6*A*a*b*c+A*b^3+3*B*a^2*c+3*B*a*b^2)/x^6","A"
880,1,154,152,0.058000," ","int((B*x+A)*(c*x^2+b*x+a)^3/x^11,x)","-\frac{B \,c^{3}}{3 x^{3}}-\frac{\left(A c +3 b B \right) c^{2}}{4 x^{4}}-\frac{3 \left(A b c +a B c +b^{2} B \right) c}{5 x^{5}}-\frac{A \,a^{3}}{10 x^{10}}-\frac{3 A a \,c^{2}+3 A \,b^{2} c +6 a b B c +b^{3} B}{6 x^{6}}-\frac{\left(3 A b +B a \right) a^{2}}{9 x^{9}}-\frac{3 \left(A a c +A \,b^{2}+B a b \right) a}{8 x^{8}}-\frac{6 A a b c +A \,b^{3}+3 B \,a^{2} c +3 B a \,b^{2}}{7 x^{7}}"," ",0,"-3/5*c*(A*b*c+B*a*c+B*b^2)/x^5-1/4*(A*c+3*B*b)*c^2/x^4-1/3*B*c^3/x^3-3/8*a*(A*a*c+A*b^2+B*a*b)/x^8-1/9*a^2*(3*A*b+B*a)/x^9-1/10*a^3*A/x^10-1/7*(6*A*a*b*c+A*b^3+3*B*a^2*c+3*B*a*b^2)/x^7-1/6*(3*A*a*c^2+3*A*b^2*c+6*B*a*b*c+B*b^3)/x^6","A"
881,1,445,217,0.056000," ","int(x^4*(e*x+d)/(c*x^2+b*x+a),x)","\frac{e \,x^{4}}{4 c}-\frac{b e \,x^{3}}{3 c^{2}}+\frac{d \,x^{3}}{3 c}-\frac{5 a^{2} b e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}+\frac{2 a^{2} d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{5 a \,b^{3} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{4}}-\frac{4 a \,b^{2} d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}-\frac{a e \,x^{2}}{2 c^{2}}-\frac{b^{5} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{5}}+\frac{b^{4} d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{4}}+\frac{b^{2} e \,x^{2}}{2 c^{3}}-\frac{b d \,x^{2}}{2 c^{2}}+\frac{a^{2} e \ln \left(c \,x^{2}+b x +a \right)}{2 c^{3}}-\frac{3 a \,b^{2} e \ln \left(c \,x^{2}+b x +a \right)}{2 c^{4}}+\frac{a b d \ln \left(c \,x^{2}+b x +a \right)}{c^{3}}+\frac{2 a b e x}{c^{3}}-\frac{a d x}{c^{2}}+\frac{b^{4} e \ln \left(c \,x^{2}+b x +a \right)}{2 c^{5}}-\frac{b^{3} d \ln \left(c \,x^{2}+b x +a \right)}{2 c^{4}}-\frac{b^{3} e x}{c^{4}}+\frac{b^{2} d x}{c^{3}}"," ",0,"1/4/c*e*x^4-1/3/c^2*x^3*b*e+1/3/c*d*x^3-1/2*a/c^2*e*x^2+1/2/c^3*x^2*b^2*e-1/2/c^2*x^2*b*d+2/c^3*a*b*e*x-a/c^2*d*x-1/c^4*b^3*e*x+1/c^3*b^2*d*x+1/2/c^3*ln(c*x^2+b*x+a)*e*a^2-3/2/c^4*ln(c*x^2+b*x+a)*a*b^2*e+1/c^3*ln(c*x^2+b*x+a)*a*b*d+1/2/c^5*ln(c*x^2+b*x+a)*b^4*e-1/2/c^4*ln(c*x^2+b*x+a)*b^3*d-5/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*b*e+2/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*d+5/c^4/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^3*e-4/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^2*d-1/c^5/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^5*e+1/c^4/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^4*d","B"
882,1,335,159,0.047000," ","int(x^3*(e*x+d)/(c*x^2+b*x+a),x)","\frac{e \,x^{3}}{3 c}+\frac{2 a^{2} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}-\frac{4 a \,b^{2} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}+\frac{3 a b d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{b^{4} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{4}}-\frac{b^{3} d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}-\frac{b e \,x^{2}}{2 c^{2}}+\frac{d \,x^{2}}{2 c}+\frac{a b e \ln \left(c \,x^{2}+b x +a \right)}{c^{3}}-\frac{a d \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}-\frac{a e x}{c^{2}}-\frac{b^{3} e \ln \left(c \,x^{2}+b x +a \right)}{2 c^{4}}+\frac{b^{2} d \ln \left(c \,x^{2}+b x +a \right)}{2 c^{3}}+\frac{b^{2} e x}{c^{3}}-\frac{b d x}{c^{2}}"," ",0,"1/3/c*e*x^3-1/2*b/c^2*e*x^2+1/2/c*d*x^2-a/c^2*e*x+b^2/c^3*e*x-b/c^2*d*x+1/c^3*ln(c*x^2+b*x+a)*a*b*e-1/2/c^2*ln(c*x^2+b*x+a)*a*d-1/2/c^4*ln(c*x^2+b*x+a)*b^3*e+1/2/c^3*ln(c*x^2+b*x+a)*b^2*d+2/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*e-4/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^2*e+3/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*d+1/c^4/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^4*e-1/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*d","B"
883,1,241,113,0.044000," ","int(x^2*(e*x+d)/(c*x^2+b*x+a),x)","\frac{3 a b e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}-\frac{2 a d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{b^{3} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}+\frac{b^{2} d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{e \,x^{2}}{2 c}-\frac{a e \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}+\frac{b^{2} e \ln \left(c \,x^{2}+b x +a \right)}{2 c^{3}}-\frac{b d \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}-\frac{b e x}{c^{2}}+\frac{d x}{c}"," ",0,"1/2/c*e*x^2-1/c^2*b*e*x+1/c*d*x-1/2/c^2*ln(c*x^2+b*x+a)*a*e+1/2/c^3*ln(c*x^2+b*x+a)*e*b^2-1/2/c^2*ln(c*x^2+b*x+a)*b*d+3/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*e-2/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*d-1/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*e+1/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*d","B"
884,1,161,79,0.044000," ","int(x*(e*x+d)/(c*x^2+b*x+a),x)","-\frac{2 a e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}+\frac{b^{2} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}-\frac{b d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{b e \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}+\frac{d \ln \left(c \,x^{2}+b x +a \right)}{2 c}+\frac{e x}{c}"," ",0,"1/c*e*x-1/2/c^2*ln(c*x^2+b*x+a)*b*e+1/2/c*ln(c*x^2+b*x+a)*d-2/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*e+1/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*e-1/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*d","B"
885,1,93,60,0.048000," ","int((e*x+d)/(c*x^2+b*x+a),x)","-\frac{b e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}+\frac{2 d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}}+\frac{e \ln \left(c \,x^{2}+b x +a \right)}{2 c}"," ",0,"1/2/c*e*ln(c*x^2+b*x+a)+2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*d-1/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b/c*e","A"
886,1,100,65,0.058000," ","int((e*x+d)/x/(c*x^2+b*x+a),x)","-\frac{b d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, a}+\frac{2 e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}}+\frac{d \ln \left(x \right)}{a}-\frac{d \ln \left(c \,x^{2}+b x +a \right)}{2 a}"," ",0,"-1/2*d*ln(c*x^2+b*x+a)/a+2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*e-1/a/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*d+1/a*d*ln(x)","A"
887,1,180,98,0.059000," ","int((e*x+d)/x^2/(c*x^2+b*x+a),x)","-\frac{b e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, a}-\frac{2 c d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, a}+\frac{b^{2} d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, a^{2}}+\frac{e \ln \left(x \right)}{a}-\frac{e \ln \left(c \,x^{2}+b x +a \right)}{2 a}-\frac{b d \ln \left(x \right)}{a^{2}}+\frac{b d \ln \left(c \,x^{2}+b x +a \right)}{2 a^{2}}-\frac{d}{a x}"," ",0,"-1/2/a*ln(c*x^2+b*x+a)*e+1/2/a^2*ln(c*x^2+b*x+a)*b*d-1/a/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*e-2/a/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*c*d+1/a^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*d-1/a*d/x+1/a*e*ln(x)-1/a^2*ln(x)*b*d","A"
888,1,273,137,0.066000," ","int((e*x+d)/x^3/(c*x^2+b*x+a),x)","-\frac{2 c e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, a}+\frac{b^{2} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, a^{2}}+\frac{3 b c d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, a^{2}}-\frac{b^{3} d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, a^{3}}-\frac{b e \ln \left(x \right)}{a^{2}}+\frac{b e \ln \left(c \,x^{2}+b x +a \right)}{2 a^{2}}-\frac{c d \ln \left(x \right)}{a^{2}}+\frac{c d \ln \left(c \,x^{2}+b x +a \right)}{2 a^{2}}+\frac{b^{2} d \ln \left(x \right)}{a^{3}}-\frac{b^{2} d \ln \left(c \,x^{2}+b x +a \right)}{2 a^{3}}-\frac{e}{a x}+\frac{b d}{a^{2} x}-\frac{d}{2 a \,x^{2}}"," ",0,"1/2/a^2*ln(c*x^2+b*x+a)*b*e+1/2/a^2*c*ln(c*x^2+b*x+a)*d-1/2/a^3*ln(c*x^2+b*x+a)*b^2*d-2/a/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*c*e+1/a^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*e+3/a^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*c*d-1/a^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*d-1/2/a*d/x^2-1/a*e/x+1/a^2/x*b*d-1/a^2*ln(x)*b*e-1/a^2*c*d*ln(x)+1/a^3*ln(x)*b^2*d","A"
889,1,381,192,0.066000," ","int((e*x+d)/x^4/(c*x^2+b*x+a),x)","\frac{3 b c e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, a^{2}}+\frac{2 c^{2} d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, a^{2}}-\frac{b^{3} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, a^{3}}-\frac{4 b^{2} c d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, a^{3}}+\frac{b^{4} d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, a^{4}}-\frac{c e \ln \left(x \right)}{a^{2}}+\frac{c e \ln \left(c \,x^{2}+b x +a \right)}{2 a^{2}}+\frac{b^{2} e \ln \left(x \right)}{a^{3}}-\frac{b^{2} e \ln \left(c \,x^{2}+b x +a \right)}{2 a^{3}}+\frac{2 b c d \ln \left(x \right)}{a^{3}}-\frac{b c d \ln \left(c \,x^{2}+b x +a \right)}{a^{3}}-\frac{b^{3} d \ln \left(x \right)}{a^{4}}+\frac{b^{3} d \ln \left(c \,x^{2}+b x +a \right)}{2 a^{4}}+\frac{b e}{a^{2} x}+\frac{c d}{a^{2} x}-\frac{b^{2} d}{a^{3} x}-\frac{e}{2 a \,x^{2}}+\frac{b d}{2 a^{2} x^{2}}-\frac{d}{3 a \,x^{3}}"," ",0,"1/2/a^2*c*ln(c*x^2+b*x+a)*e-1/2/a^3*ln(c*x^2+b*x+a)*b^2*e-1/a^3*c*ln(c*x^2+b*x+a)*b*d+1/2/a^4*ln(c*x^2+b*x+a)*b^3*d+3/a^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*c*e+2/a^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*c^2*d-1/a^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*e-4/a^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*c*d+1/a^4/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^4*d-1/3/a*d/x^3-1/2/a*e/x^2+1/2/a^2/x^2*b*d+1/a^2*b*e/x+1/a^2*c*d/x-1/a^3*b^2*d/x-1/a^2*c*e*ln(x)+1/a^3*ln(x)*b^2*e+2/a^3*ln(x)*b*c*d-1/a^4*ln(x)*b^3*d","A"
890,1,809,254,0.063000," ","int(x^4*(e*x+d)/(c*x^2+b*x+a)^2,x)","-\frac{5 a^{2} b e x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{2}}+\frac{30 a^{2} b e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c^{2}}+\frac{2 a^{2} d x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c}-\frac{12 a^{2} d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c}+\frac{5 a \,b^{3} e x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{3}}-\frac{20 a \,b^{3} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c^{3}}-\frac{4 a \,b^{2} d x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{2}}+\frac{12 a \,b^{2} d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c^{2}}-\frac{b^{5} e x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{4}}+\frac{3 b^{5} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c^{4}}+\frac{b^{4} d x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{3}}-\frac{2 b^{4} d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c^{3}}-\frac{2 a^{3} e}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{2}}+\frac{4 a^{2} b^{2} e}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{3}}-\frac{3 a^{2} b d}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{2}}-\frac{4 a^{2} e \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) c^{2}}-\frac{a \,b^{4} e}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{4}}+\frac{a \,b^{3} d}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{3}}+\frac{7 a \,b^{2} e \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) c^{3}}-\frac{4 a b d \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) c^{2}}-\frac{3 b^{4} e \ln \left(c \,x^{2}+b x +a \right)}{2 \left(4 a c -b^{2}\right) c^{4}}+\frac{b^{3} d \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) c^{3}}+\frac{e \,x^{2}}{2 c^{2}}-\frac{2 b e x}{c^{3}}+\frac{d x}{c^{2}}"," ",0,"-5/c^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*a^2*b*e+5/c^3/(c*x^2+b*x+a)/(4*a*c-b^2)*x*a*b^3*e-4/c^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*a*b^2*d-20/c^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^3*e+12/c^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^2*d+7/c^3/(4*a*c-b^2)*ln(c*x^2+b*x+a)*a*b^2*e-4/c^2/(4*a*c-b^2)*ln(c*x^2+b*x+a)*a*b*d+30/c^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*b*e+1/c^3/(c*x^2+b*x+a)*a/(4*a*c-b^2)*b^3*d-3/c^2/(c*x^2+b*x+a)*a^2/(4*a*c-b^2)*b*d-1/c^4/(c*x^2+b*x+a)*a/(4*a*c-b^2)*b^4*e-1/c^4/(c*x^2+b*x+a)/(4*a*c-b^2)*x*b^5*e+1/c^3/(c*x^2+b*x+a)/(4*a*c-b^2)*x*b^4*d+4/c^3/(c*x^2+b*x+a)*a^2/(4*a*c-b^2)*b^2*e+2/c/(c*x^2+b*x+a)/(4*a*c-b^2)*x*a^2*d-4/c^2/(4*a*c-b^2)*ln(c*x^2+b*x+a)*e*a^2-3/2/c^4/(4*a*c-b^2)*ln(c*x^2+b*x+a)*b^4*e+1/c^3/(4*a*c-b^2)*ln(c*x^2+b*x+a)*b^3*d-12/c/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*d+1/2/c^2*e*x^2+1/c^2*d*x+3/c^4/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^5*e-2/c^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^4*d-2/c^2/(c*x^2+b*x+a)*a^3/(4*a*c-b^2)*e-2/c^3*b*e*x","B"
891,1,639,186,0.064000," ","int(x^3*(e*x+d)/(c*x^2+b*x+a)^2,x)","\frac{2 a^{2} e x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c}-\frac{12 a^{2} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c}-\frac{4 a \,b^{2} e x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{2}}+\frac{12 a \,b^{2} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c^{2}}+\frac{3 a b d x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c}-\frac{6 a b d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c}+\frac{b^{4} e x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{3}}-\frac{2 b^{4} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c^{3}}-\frac{b^{3} d x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{2}}+\frac{b^{3} d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c^{2}}-\frac{3 a^{2} b e}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{2}}+\frac{2 a^{2} d}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c}+\frac{a \,b^{3} e}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{3}}-\frac{a \,b^{2} d}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{2}}-\frac{4 a b e \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) c^{2}}+\frac{2 a d \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) c}+\frac{b^{3} e \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) c^{3}}-\frac{b^{2} d \ln \left(c \,x^{2}+b x +a \right)}{2 \left(4 a c -b^{2}\right) c^{2}}+\frac{e x}{c^{2}}"," ",0,"1/c^2*e*x+2/c/(c*x^2+b*x+a)/(4*a*c-b^2)*x*e*a^2-4/c^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*a*b^2*e+3/c/(c*x^2+b*x+a)/(4*a*c-b^2)*x*a*b*d+1/c^3/(c*x^2+b*x+a)/(4*a*c-b^2)*x*b^4*e-1/c^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*b^3*d-3/c^2/(c*x^2+b*x+a)*a^2/(4*a*c-b^2)*b*e+2/c/(c*x^2+b*x+a)*a^2/(4*a*c-b^2)*d+1/c^3/(c*x^2+b*x+a)*a/(4*a*c-b^2)*b^3*e-1/c^2/(c*x^2+b*x+a)*a/(4*a*c-b^2)*b^2*d-4/c^2/(4*a*c-b^2)*ln(c*x^2+b*x+a)*a*b*e+2/c/(4*a*c-b^2)*ln(c*x^2+b*x+a)*a*d+1/c^3/(4*a*c-b^2)*ln(c*x^2+b*x+a)*b^3*e-1/2/c^2/(4*a*c-b^2)*ln(c*x^2+b*x+a)*b^2*d-12/c/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*e+12/c^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^2*e-6/c/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*d-2/c^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^4*e+1/c^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*d","B"
892,1,270,126,0.069000," ","int(x^2*(e*x+d)/(c*x^2+b*x+a)^2,x)","-\frac{6 a b e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c}+\frac{4 a d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}+\frac{b^{3} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c^{2}}+\frac{2 a e \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) c}-\frac{b^{2} e \ln \left(c \,x^{2}+b x +a \right)}{2 \left(4 a c -b^{2}\right) c^{2}}+\frac{\frac{\left(2 a c e -e \,b^{2}+b c d \right) a}{\left(4 a c -b^{2}\right) c^{2}}+\frac{\left(3 a b c e -2 a \,c^{2} d -b^{3} e +b^{2} c d \right) x}{\left(4 a c -b^{2}\right) c^{2}}}{c \,x^{2}+b x +a}"," ",0,"(1/c^2*(3*a*b*c*e-2*a*c^2*d-b^3*e+b^2*c*d)/(4*a*c-b^2)*x+a*(2*a*c*e-b^2*e+b*c*d)/c^2/(4*a*c-b^2))/(c*x^2+b*x+a)+2/(4*a*c-b^2)/c*ln(c*x^2+b*x+a)*a*e-1/2/(4*a*c-b^2)/c^2*ln(c*x^2+b*x+a)*e*b^2-6/(4*a*c-b^2)^(3/2)/c*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*e+4/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*d+1/(4*a*c-b^2)^(3/2)/c^2*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*e","B"
893,1,147,95,0.055000," ","int(x*(e*x+d)/(c*x^2+b*x+a)^2,x)","\frac{4 a e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}-\frac{2 b d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}+\frac{\frac{\left(b e -2 c d \right) a}{\left(4 a c -b^{2}\right) c}-\frac{\left(2 a c e -e \,b^{2}+b c d \right) x}{\left(4 a c -b^{2}\right) c}}{c \,x^{2}+b x +a}"," ",0,"(-(2*a*c*e-b^2*e+b*c*d)/c/(4*a*c-b^2)*x+a*(b*e-2*c*d)/(4*a*c-b^2)/c)/(c*x^2+b*x+a)+4/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*e-2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*d","A"
894,1,118,84,0.049000," ","int((e*x+d)/(c*x^2+b*x+a)^2,x)","-\frac{2 b e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}+\frac{4 c d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}+\frac{-2 a e +b d +\left(-b e +2 c d \right) x}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)}"," ",0,"(-2*a*e+b*d+(-b*e+2*c*d)*x)/(4*a*c-b^2)/(c*x^2+b*x+a)-2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*e+4/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*c*d","A"
895,1,337,129,0.060000," ","int((e*x+d)/x/(c*x^2+b*x+a)^2,x)","-\frac{b c d x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a}-\frac{6 b c d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} a}+\frac{b^{3} d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} a^{2}}+\frac{2 c e x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right)}+\frac{4 c e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}-\frac{b^{2} d}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a}-\frac{2 c d \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) a}+\frac{b^{2} d \ln \left(c \,x^{2}+b x +a \right)}{2 \left(4 a c -b^{2}\right) a^{2}}+\frac{b e}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right)}+\frac{2 c d}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right)}+\frac{d \ln \left(x \right)}{a^{2}}"," ",0,"2/(c*x^2+b*x+a)*c/(4*a*c-b^2)*x*e-1/a/(c*x^2+b*x+a)*c/(4*a*c-b^2)*x*b*d+1/(c*x^2+b*x+a)/(4*a*c-b^2)*b*e+2/(c*x^2+b*x+a)/(4*a*c-b^2)*c*d-1/a/(c*x^2+b*x+a)/(4*a*c-b^2)*b^2*d-2/a/(4*a*c-b^2)*c*ln(c*x^2+b*x+a)*d+1/2/a^2/(4*a*c-b^2)*ln(c*x^2+b*x+a)*b^2*d+4/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*c*e-6/a/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*c*d+1/a^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*d+1/a^2*d*ln(x)","B"
896,1,582,203,0.063000," ","int((e*x+d)/x^2/(c*x^2+b*x+a)^2,x)","-\frac{b c e x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a}-\frac{6 b c e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} a}-\frac{2 c^{2} d x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a}-\frac{12 c^{2} d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} a}+\frac{b^{3} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} a^{2}}+\frac{b^{2} c d x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a^{2}}+\frac{12 b^{2} c d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} a^{2}}-\frac{2 b^{4} d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} a^{3}}-\frac{b^{2} e}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a}-\frac{3 b c d}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a}-\frac{2 c e \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) a}+\frac{b^{3} d}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a^{2}}+\frac{b^{2} e \ln \left(c \,x^{2}+b x +a \right)}{2 \left(4 a c -b^{2}\right) a^{2}}+\frac{4 b c d \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) a^{2}}-\frac{b^{3} d \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) a^{3}}+\frac{2 c e}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right)}+\frac{e \ln \left(x \right)}{a^{2}}-\frac{2 b d \ln \left(x \right)}{a^{3}}-\frac{d}{a^{2} x}"," ",0,"-1/a/(c*x^2+b*x+a)*c/(4*a*c-b^2)*x*b*e-2/a/(c*x^2+b*x+a)*c^2/(4*a*c-b^2)*x*d+1/a^2/(c*x^2+b*x+a)*c/(4*a*c-b^2)*x*b^2*d+2/(c*x^2+b*x+a)/(4*a*c-b^2)*c*e-1/a/(c*x^2+b*x+a)/(4*a*c-b^2)*b^2*e-3/a/(c*x^2+b*x+a)/(4*a*c-b^2)*b*c*d+1/a^2/(c*x^2+b*x+a)/(4*a*c-b^2)*b^3*d-2/a/(4*a*c-b^2)*c*ln(c*x^2+b*x+a)*e+1/2/a^2/(4*a*c-b^2)*ln(c*x^2+b*x+a)*b^2*e+4/a^2/(4*a*c-b^2)*c*ln(c*x^2+b*x+a)*b*d-1/a^3/(4*a*c-b^2)*ln(c*x^2+b*x+a)*b^3*d-6/a/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*c*e-12/a/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*c^2*d+1/a^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*e+12/a^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*c*d-2/a^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^4*d-1/a^2*d/x+1/a^2*e*ln(x)-2/a^3*ln(x)*b*d","B"
897,1,770,275,0.072000," ","int((e*x+d)/x^3/(c*x^2+b*x+a)^2,x)","-\frac{2 c^{2} e x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a}-\frac{12 c^{2} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} a}+\frac{b^{2} c e x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a^{2}}+\frac{12 b^{2} c e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} a^{2}}+\frac{3 b \,c^{2} d x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a^{2}}+\frac{30 b \,c^{2} d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} a^{2}}-\frac{2 b^{4} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} a^{3}}-\frac{b^{3} c d x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a^{3}}-\frac{20 b^{3} c d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} a^{3}}+\frac{3 b^{5} d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} a^{4}}-\frac{3 b c e}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a}-\frac{2 c^{2} d}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a}+\frac{b^{3} e}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a^{2}}+\frac{4 b^{2} c d}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a^{2}}+\frac{4 b c e \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) a^{2}}+\frac{4 c^{2} d \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) a^{2}}-\frac{b^{4} d}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a^{3}}-\frac{b^{3} e \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) a^{3}}-\frac{7 b^{2} c d \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) a^{3}}+\frac{3 b^{4} d \ln \left(c \,x^{2}+b x +a \right)}{2 \left(4 a c -b^{2}\right) a^{4}}-\frac{2 b e \ln \left(x \right)}{a^{3}}-\frac{2 c d \ln \left(x \right)}{a^{3}}+\frac{3 b^{2} d \ln \left(x \right)}{a^{4}}-\frac{e}{a^{2} x}+\frac{2 b d}{a^{3} x}-\frac{d}{2 a^{2} x^{2}}"," ",0,"-1/2/a^2*d/x^2-1/a^2*e/x-20/a^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*c*d+4/a^2/(4*a*c-b^2)*c*ln(c*x^2+b*x+a)*b*e+4/a^2/(c*x^2+b*x+a)/(4*a*c-b^2)*b^2*c*d-2/a/(c*x^2+b*x+a)*c^2/(4*a*c-b^2)*x*e-3/a/(c*x^2+b*x+a)/(4*a*c-b^2)*b*c*e-7/a^3/(4*a*c-b^2)*c*ln(c*x^2+b*x+a)*b^2*d+12/a^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*c*e+30/a^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*c^2*d-1/a^3/(c*x^2+b*x+a)*c/(4*a*c-b^2)*x*b^3*d+1/a^2/(c*x^2+b*x+a)*c/(4*a*c-b^2)*x*b^2*e+3/a^2/(c*x^2+b*x+a)*c^2/(4*a*c-b^2)*x*b*d+2/a^3/x*b*d-2/a^3*ln(x)*b*e+3/a^4*ln(x)*b^2*d-2/a/(c*x^2+b*x+a)/(4*a*c-b^2)*c^2*d+1/a^2/(c*x^2+b*x+a)/(4*a*c-b^2)*b^3*e-1/a^3/(c*x^2+b*x+a)/(4*a*c-b^2)*b^4*d+4/a^2/(4*a*c-b^2)*c^2*ln(c*x^2+b*x+a)*d-1/a^3/(4*a*c-b^2)*ln(c*x^2+b*x+a)*b^3*e+3/2/a^4/(4*a*c-b^2)*ln(c*x^2+b*x+a)*b^4*d-12/a/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*c^2*e-2/a^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^4*e+3/a^4/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^5*d-2/a^3*c*d*ln(x)","B"
898,1,10,9,0.039000," ","int((5+2*x)/(x^2+5*x+4),x)","\ln \left(x^{2}+5 x +4\right)"," ",0,"ln(x^2+5*x+4)","A"
899,1,14,13,0.057000," ","int((3*x+7)/(x^2+6*x+8),x)","\frac{\ln \left(x +2\right)}{2}+\frac{5 \ln \left(x +4\right)}{2}"," ",0,"1/2*ln(x+2)+5/2*ln(x+4)","A"
900,1,15,14,0.051000," ","int((5+2*x)/(x^2+4*x+5),x)","\arctan \left(x +2\right)+\ln \left(x^{2}+4 x +5\right)"," ",0,"arctan(x+2)+ln(x^2+4*x+5)","A"
901,1,29,28,0.056000," ","int((-2+7*x)/(2*x^2-16*x+42),x)","\frac{13 \sqrt{5}\, \arctan \left(\frac{\left(2 x -8\right) \sqrt{5}}{10}\right)}{5}+\frac{7 \ln \left(x^{2}-8 x +21\right)}{4}"," ",0,"7/4*ln(x^2-8*x+21)+13/5*5^(1/2)*arctan(1/10*(2*x-8)*5^(1/2))","A"
902,1,29,39,0.053000," ","int((x+3)/(x^2+3*x+1),x)","-\frac{3 \sqrt{5}\, \arctanh \left(\frac{\left(2 x +3\right) \sqrt{5}}{5}\right)}{5}+\frac{\ln \left(x^{2}+3 x +1\right)}{2}"," ",0,"1/2*ln(x^2+3*x+1)-3/5*5^(1/2)*arctanh(1/5*(2*x+3)*5^(1/2))","A"
903,1,31,37,0.043000," ","int((2*x-1)/(4*x^2+8*x+1),x)","\frac{\sqrt{3}\, \arctanh \left(\frac{\left(8 x +8\right) \sqrt{3}}{12}\right)}{2}+\frac{\ln \left(4 x^{2}+8 x +1\right)}{4}"," ",0,"1/4*ln(4*x^2+8*x+1)+1/2*3^(1/2)*arctanh(1/12*(8*x+8)*3^(1/2))","A"
904,1,15,14,0.047000," ","int((2*x+3)/(4*x^2+12*x+13)^2,x)","-\frac{1}{4 \left(4 x^{2}+12 x +13\right)}"," ",0,"-1/4/(4*x^2+12*x+13)","A"
905,1,23,22,0.049000," ","int((x+4)/(x^2+4*x+5)^2,x)","\arctan \left(x +2\right)+\frac{4 x +6}{4 x^{2}+16 x +20}"," ",0,"1/4*(4*x+6)/(x^2+4*x+5)+arctan(x+2)","A"
906,1,33,32,0.043000," ","int((3*x-1)/(x^2+x+1)^2,x)","-\frac{10 \sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}+\frac{-5 x -7}{3 x^{2}+3 x +3}"," ",0,"1/3*(-7-5*x)/(x^2+x+1)-10/9*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))","A"
907,1,52,49,0.083000," ","int((x+1)/(x^2-x+1)^3,x)","\frac{2 \sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{3}+\frac{3 x -3}{6 \left(x^{2}-x +1\right)^{2}}+\frac{2 x -1}{2 x^{2}-2 x +2}"," ",0,"1/6*(3*x-3)/(x^2-x+1)^2+1/2*(2*x-1)/(x^2-x+1)+2/3*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))","A"
908,1,11,10,0.045000," ","int(1/(B*x+A),x)","\frac{\ln \left(B x +A \right)}{B}"," ",0,"ln(B*x+A)/B","A"
909,1,11,10,0.085000," ","int((B*x+A)/(B^2*x^2+2*A*B*x+A^2),x)","\frac{\ln \left(B x +A \right)}{B}"," ",0,"1/B*ln(B*x+A)","A"
910,1,872,337,0.061000," ","int(x^4*(B*x+A)*(c*x^2+b*x+a)^(1/2),x)","\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,x^{4}}{7 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,x^{3}}{6 c}-\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b \,x^{3}}{84 c^{2}}+\frac{A \,a^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{5}{2}}}-\frac{15 A \,a^{2} b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{7}{2}}}+\frac{35 A a \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{9}{2}}}-\frac{21 A \,b^{6} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{1024 c^{\frac{11}{2}}}-\frac{5 B \,a^{3} b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{7}{2}}}+\frac{35 B \,a^{2} b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{9}{2}}}-\frac{63 B a \,b^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{512 c^{\frac{11}{2}}}+\frac{33 B \,b^{7} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2048 c^{\frac{13}{2}}}+\frac{\sqrt{c \,x^{2}+b x +a}\, A \,a^{2} x}{16 c^{2}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, A a \,b^{2} x}{32 c^{3}}+\frac{21 \sqrt{c \,x^{2}+b x +a}\, A \,b^{4} x}{256 c^{4}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b \,x^{2}}{20 c^{2}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,a^{2} b x}{32 c^{3}}+\frac{15 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{3} x}{64 c^{4}}-\frac{4 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a \,x^{2}}{35 c^{2}}-\frac{33 \sqrt{c \,x^{2}+b x +a}\, B \,b^{5} x}{512 c^{5}}+\frac{33 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{2} x^{2}}{280 c^{3}}+\frac{\sqrt{c \,x^{2}+b x +a}\, A \,a^{2} b}{32 c^{3}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, A a \,b^{3}}{64 c^{4}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A a x}{8 c^{2}}+\frac{21 \sqrt{c \,x^{2}+b x +a}\, A \,b^{5}}{512 c^{5}}+\frac{21 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2} x}{160 c^{3}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,a^{2} b^{2}}{64 c^{4}}+\frac{15 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{4}}{128 c^{5}}+\frac{111 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a b x}{560 c^{3}}-\frac{33 \sqrt{c \,x^{2}+b x +a}\, B \,b^{6}}{1024 c^{6}}-\frac{33 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{3} x}{320 c^{4}}+\frac{49 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A a b}{240 c^{3}}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{3}}{64 c^{4}}+\frac{8 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,a^{2}}{105 c^{3}}-\frac{39 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a \,b^{2}}{160 c^{4}}+\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{4}}{128 c^{5}}"," ",0,"-4/35*B*a/c^2*x^2*(c*x^2+b*x+a)^(3/2)-11/84*B*b/c^2*x^3*(c*x^2+b*x+a)^(3/2)-5/32*B*b/c^3*a^2*(c*x^2+b*x+a)^(1/2)*x+15/64*B*b^3/c^4*a*(c*x^2+b*x+a)^(1/2)*x-7/32*A*b^2/c^3*a*(c*x^2+b*x+a)^(1/2)*x+111/560*B*b/c^3*a*x*(c*x^2+b*x+a)^(3/2)+1/16*A*a^2/c^2*(c*x^2+b*x+a)^(1/2)*x-1/8*A*a/c^2*x*(c*x^2+b*x+a)^(3/2)+1/32*A*a^2/c^3*(c*x^2+b*x+a)^(1/2)*b+21/256*A*b^4/c^4*(c*x^2+b*x+a)^(1/2)*x+15/128*B*b^4/c^5*a*(c*x^2+b*x+a)^(1/2)-15/64*A*b^2/c^(7/2)*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+35/128*B*b^3/c^(9/2)*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-5/32*B*b/c^(7/2)*a^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-39/160*B*b^2/c^4*a*(c*x^2+b*x+a)^(3/2)+33/280*B*b^2/c^3*x^2*(c*x^2+b*x+a)^(3/2)-33/320*B*b^3/c^4*x*(c*x^2+b*x+a)^(3/2)-33/512*B*b^5/c^5*(c*x^2+b*x+a)^(1/2)*x+21/160*A*b^2/c^3*x*(c*x^2+b*x+a)^(3/2)-5/64*B*b^2/c^4*a^2*(c*x^2+b*x+a)^(1/2)-63/512*B*b^5/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a+35/256*A*b^4/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-7/64*A*b^3/c^4*a*(c*x^2+b*x+a)^(1/2)+49/240*A*b/c^3*a*(c*x^2+b*x+a)^(3/2)-3/20*A*b/c^2*x^2*(c*x^2+b*x+a)^(3/2)+1/6*A*x^3*(c*x^2+b*x+a)^(3/2)/c-7/64*A*b^3/c^4*(c*x^2+b*x+a)^(3/2)+8/105*B*a^2/c^3*(c*x^2+b*x+a)^(3/2)+33/2048*B*b^7/c^(13/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+11/128*B*b^4/c^5*(c*x^2+b*x+a)^(3/2)-33/1024*B*b^6/c^6*(c*x^2+b*x+a)^(1/2)+21/512*A*b^5/c^5*(c*x^2+b*x+a)^(1/2)-21/1024*A*b^6/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/16*A*a^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/7*B*x^4*(c*x^2+b*x+a)^(3/2)/c","B"
911,1,671,254,0.063000," ","int(x^3*(B*x+A)*(c*x^2+b*x+a)^(1/2),x)","\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,x^{3}}{6 c}+\frac{3 A \,a^{2} b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{5}{2}}}-\frac{5 A a \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{7}{2}}}+\frac{7 A \,b^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{9}{2}}}+\frac{B \,a^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{5}{2}}}-\frac{15 B \,a^{2} b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{7}{2}}}+\frac{35 B a \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{9}{2}}}-\frac{21 B \,b^{6} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{1024 c^{\frac{11}{2}}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A a b x}{16 c^{2}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, A \,b^{3} x}{64 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,x^{2}}{5 c}+\frac{\sqrt{c \,x^{2}+b x +a}\, B \,a^{2} x}{16 c^{2}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{2} x}{32 c^{3}}+\frac{21 \sqrt{c \,x^{2}+b x +a}\, B \,b^{4} x}{256 c^{4}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b \,x^{2}}{20 c^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A a \,b^{2}}{32 c^{3}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, A \,b^{4}}{128 c^{4}}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b x}{40 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, B \,a^{2} b}{32 c^{3}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{3}}{64 c^{4}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a x}{8 c^{2}}+\frac{21 \sqrt{c \,x^{2}+b x +a}\, B \,b^{5}}{512 c^{5}}+\frac{21 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{2} x}{160 c^{3}}-\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A a}{15 c^{2}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2}}{48 c^{3}}+\frac{49 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a b}{240 c^{3}}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{3}}{64 c^{4}}"," ",0,"-7/32*B*b^2/c^3*a*(c*x^2+b*x+a)^(1/2)*x+3/16*A*b/c^2*a*(c*x^2+b*x+a)^(1/2)*x-7/40*A*b/c^2*x*(c*x^2+b*x+a)^(3/2)-7/64*A*b^3/c^3*(c*x^2+b*x+a)^(1/2)*x+49/240*B*b/c^3*a*(c*x^2+b*x+a)^(3/2)-1/8*B*a/c^2*x*(c*x^2+b*x+a)^(3/2)+35/256*B*b^4/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-7/64*B*b^3/c^4*a*(c*x^2+b*x+a)^(1/2)-15/64*B*b^2/c^(7/2)*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/32*A*b^2/c^3*a*(c*x^2+b*x+a)^(1/2)+3/16*A*b/c^(5/2)*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-5/32*A*b^3/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-3/20*B*b/c^2*x^2*(c*x^2+b*x+a)^(3/2)+21/160*B*b^2/c^3*x*(c*x^2+b*x+a)^(3/2)+21/256*B*b^4/c^4*(c*x^2+b*x+a)^(1/2)*x+1/16*B*a^2/c^2*(c*x^2+b*x+a)^(1/2)*x+1/32*B*a^2/c^3*(c*x^2+b*x+a)^(1/2)*b+7/256*A*b^5/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-2/15*A*a/c^2*(c*x^2+b*x+a)^(3/2)-7/64*B*b^3/c^4*(c*x^2+b*x+a)^(3/2)+21/512*B*b^5/c^5*(c*x^2+b*x+a)^(1/2)-21/1024*B*b^6/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/16*B*a^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/5*A*x^2*(c*x^2+b*x+a)^(3/2)/c+7/48*A*b^2/c^3*(c*x^2+b*x+a)^(3/2)-7/128*A*b^4/c^4*(c*x^2+b*x+a)^(1/2)+1/6*B*x^3*(c*x^2+b*x+a)^(3/2)/c","B"
912,1,497,183,0.057000," ","int(x^2*(B*x+A)*(c*x^2+b*x+a)^(1/2),x)","-\frac{A \,a^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{3}{2}}}+\frac{3 A a \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{5}{2}}}-\frac{5 A \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{7}{2}}}+\frac{3 B \,a^{2} b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{5}{2}}}-\frac{5 B a \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{7}{2}}}+\frac{7 B \,b^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{9}{2}}}-\frac{\sqrt{c \,x^{2}+b x +a}\, A a x}{8 c}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{2} x}{32 c^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B a b x}{16 c^{2}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, B \,b^{3} x}{64 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,x^{2}}{5 c}-\frac{\sqrt{c \,x^{2}+b x +a}\, A a b}{16 c^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{3}}{64 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A x}{4 c}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{2}}{32 c^{3}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, B \,b^{4}}{128 c^{4}}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b x}{40 c^{2}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b}{24 c^{2}}-\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a}{15 c^{2}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{2}}{48 c^{3}}"," ",0,"1/5*B*x^2*(c*x^2+b*x+a)^(3/2)/c-7/40*B*b/c^2*x*(c*x^2+b*x+a)^(3/2)+7/48*B*b^2/c^3*(c*x^2+b*x+a)^(3/2)-7/64*B*b^3/c^3*(c*x^2+b*x+a)^(1/2)*x-7/128*B*b^4/c^4*(c*x^2+b*x+a)^(1/2)-5/32*B*b^3/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a+7/256*B*b^5/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/16*B*b/c^2*a*(c*x^2+b*x+a)^(1/2)*x+3/32*B*b^2/c^3*a*(c*x^2+b*x+a)^(1/2)+3/16*B*b/c^(5/2)*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-2/15*B*a/c^2*(c*x^2+b*x+a)^(3/2)+1/4*A*x*(c*x^2+b*x+a)^(3/2)/c-5/24*A*b/c^2*(c*x^2+b*x+a)^(3/2)+5/32*A*b^2/c^2*(c*x^2+b*x+a)^(1/2)*x+5/64*A*b^3/c^3*(c*x^2+b*x+a)^(1/2)+3/16*A*b^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-5/128*A*b^4/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/8*A*a/c*(c*x^2+b*x+a)^(1/2)*x-1/16*A*a/c^2*(c*x^2+b*x+a)^(1/2)*b-1/8*A*a^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))","B"
913,1,352,126,0.054000," ","int(x*(B*x+A)*(c*x^2+b*x+a)^(1/2),x)","-\frac{A a b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{3}{2}}}+\frac{A \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{5}{2}}}-\frac{B \,a^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{3}{2}}}+\frac{3 B a \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{5}{2}}}-\frac{5 B \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{7}{2}}}-\frac{\sqrt{c \,x^{2}+b x +a}\, A b x}{4 c}-\frac{\sqrt{c \,x^{2}+b x +a}\, B a x}{8 c}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{2} x}{32 c^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, A \,b^{2}}{8 c^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, B a b}{16 c^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{3}}{64 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B x}{4 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A}{3 c}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b}{24 c^{2}}"," ",0,"1/4*B*x*(c*x^2+b*x+a)^(3/2)/c-5/24*B*b/c^2*(c*x^2+b*x+a)^(3/2)+5/32*B*b^2/c^2*x*(c*x^2+b*x+a)^(1/2)+5/64*B*b^3/c^3*(c*x^2+b*x+a)^(1/2)+3/16*B*b^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-5/128*B*b^4/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/8*B*a/c*x*(c*x^2+b*x+a)^(1/2)-1/16*B*a/c^2*(c*x^2+b*x+a)^(1/2)*b-1/8*B*a^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/3*A*(c*x^2+b*x+a)^(3/2)/c-1/4*A*b/c*x*(c*x^2+b*x+a)^(1/2)-1/8*A*b^2/c^2*(c*x^2+b*x+a)^(1/2)-1/4*A*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a+1/16*A*b^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))","B"
914,1,229,95,0.047000," ","int((B*x+A)*(c*x^2+b*x+a)^(1/2),x)","\frac{A a \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 \sqrt{c}}-\frac{A \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{3}{2}}}-\frac{B a b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{3}{2}}}+\frac{B \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{5}{2}}}+\frac{\sqrt{c \,x^{2}+b x +a}\, A x}{2}-\frac{\sqrt{c \,x^{2}+b x +a}\, B b x}{4 c}+\frac{\sqrt{c \,x^{2}+b x +a}\, A b}{4 c}-\frac{\sqrt{c \,x^{2}+b x +a}\, B \,b^{2}}{8 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B}{3 c}"," ",0,"1/3*B*(c*x^2+b*x+a)^(3/2)/c-1/4*B*b/c*x*(c*x^2+b*x+a)^(1/2)-1/8*B*b^2/c^2*(c*x^2+b*x+a)^(1/2)-1/4*B*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a+1/16*B*b^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/2*A*x*(c*x^2+b*x+a)^(1/2)+1/4*A/c*(c*x^2+b*x+a)^(1/2)*b+1/2*A/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-1/8*A/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^2","B"
915,1,184,107,0.061000," ","int((B*x+A)*(c*x^2+b*x+a)^(1/2)/x,x)","-A \sqrt{a}\, \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)+\frac{A b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 \sqrt{c}}+\frac{B a \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 \sqrt{c}}-\frac{B \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{3}{2}}}+\frac{\sqrt{c \,x^{2}+b x +a}\, B x}{2}+\sqrt{c \,x^{2}+b x +a}\, A +\frac{\sqrt{c \,x^{2}+b x +a}\, B b}{4 c}"," ",0,"1/2*B*x*(c*x^2+b*x+a)^(1/2)+1/4*B/c*(c*x^2+b*x+a)^(1/2)*b+1/2*B/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-1/8*B/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^2+A*(c*x^2+b*x+a)^(1/2)+1/2*A*b*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))/c^(1/2)-A*a^(1/2)*ln((2*a+b*x+2*a^(1/2)*(c*x^2+b*x+a)^(1/2))/x)","A"
916,1,207,99,0.080000," ","int((B*x+A)*(c*x^2+b*x+a)^(1/2)/x^2,x)","-\frac{A b \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2 \sqrt{a}}+A \sqrt{c}\, \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)-B \sqrt{a}\, \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)+\frac{B b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 \sqrt{c}}+\frac{\sqrt{c \,x^{2}+b x +a}\, A c x}{a}+\frac{\sqrt{c \,x^{2}+b x +a}\, A b}{a}+\sqrt{c \,x^{2}+b x +a}\, B -\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A}{a x}"," ",0,"-A/a/x*(c*x^2+b*x+a)^(3/2)+A/a*b*(c*x^2+b*x+a)^(1/2)-1/2*A/a^(1/2)*b*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+A*c/a*(c*x^2+b*x+a)^(1/2)*x+A*c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+B*(c*x^2+b*x+a)^(1/2)+1/2*B*b*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))/c^(1/2)-B*a^(1/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)","B"
917,1,304,111,0.059000," ","int((B*x+A)*(c*x^2+b*x+a)^(1/2)/x^3,x)","-\frac{A c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2 \sqrt{a}}+\frac{A \,b^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{3}{2}}}-\frac{B b \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2 \sqrt{a}}+B \sqrt{c}\, \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)-\frac{\sqrt{c \,x^{2}+b x +a}\, A b c x}{4 a^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, B c x}{a}+\frac{\sqrt{c \,x^{2}+b x +a}\, A c}{2 a}-\frac{\sqrt{c \,x^{2}+b x +a}\, A \,b^{2}}{4 a^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, B b}{a}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b}{4 a^{2} x}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B}{a x}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A}{2 a \,x^{2}}"," ",0,"-1/2*A/a/x^2*(c*x^2+b*x+a)^(3/2)+1/4*A/a^2*b/x*(c*x^2+b*x+a)^(3/2)-1/4*A/a^2*b^2*(c*x^2+b*x+a)^(1/2)+1/8*A/a^(3/2)*b^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-1/4*A/a^2*b*c*(c*x^2+b*x+a)^(1/2)*x+1/2*A*c/a*(c*x^2+b*x+a)^(1/2)-1/2*A*c/a^(1/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-B/a/x*(c*x^2+b*x+a)^(3/2)+B/a*b*(c*x^2+b*x+a)^(1/2)-1/2*B/a^(1/2)*b*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+B*c/a*(c*x^2+b*x+a)^(1/2)*x+B*c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))","B"
918,1,386,103,0.060000," ","int((B*x+A)*(c*x^2+b*x+a)^(1/2)/x^4,x)","\frac{A b c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{4 a^{\frac{3}{2}}}-\frac{A \,b^{3} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{5}{2}}}-\frac{B c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2 \sqrt{a}}+\frac{B \,b^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{3}{2}}}+\frac{\sqrt{c \,x^{2}+b x +a}\, A \,b^{2} c x}{8 a^{3}}-\frac{\sqrt{c \,x^{2}+b x +a}\, B b c x}{4 a^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, A b c}{4 a^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, A \,b^{3}}{8 a^{3}}+\frac{\sqrt{c \,x^{2}+b x +a}\, B c}{2 a}-\frac{\sqrt{c \,x^{2}+b x +a}\, B \,b^{2}}{4 a^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2}}{8 a^{3} x}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b}{4 a^{2} x}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b}{4 a^{2} x^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B}{2 a \,x^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A}{3 a \,x^{3}}"," ",0,"-1/3*A*(c*x^2+b*x+a)^(3/2)/a/x^3+1/4*A/a^2*b/x^2*(c*x^2+b*x+a)^(3/2)-1/8*A/a^3*b^2/x*(c*x^2+b*x+a)^(3/2)+1/8*A/a^3*b^3*(c*x^2+b*x+a)^(1/2)-1/16*A/a^(5/2)*b^3*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+1/8*A/a^3*b^2*c*(c*x^2+b*x+a)^(1/2)*x-1/4*A/a^2*b*c*(c*x^2+b*x+a)^(1/2)+1/4*A/a^(3/2)*b*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-1/2*B/a/x^2*(c*x^2+b*x+a)^(3/2)+1/4*B/a^2*b/x*(c*x^2+b*x+a)^(3/2)-1/4*B/a^2*b^2*(c*x^2+b*x+a)^(1/2)+1/8*B/a^(3/2)*b^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-1/4*B/a^2*b*c*(c*x^2+b*x+a)^(1/2)*x+1/2*B*c/a*(c*x^2+b*x+a)^(1/2)-1/2*B*c/a^(1/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)","B"
919,1,569,150,0.062000," ","int((B*x+A)*(c*x^2+b*x+a)^(1/2)/x^5,x)","\frac{A \,c^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{3}{2}}}-\frac{3 A \,b^{2} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{5}{2}}}+\frac{5 A \,b^{4} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{128 a^{\frac{7}{2}}}+\frac{B b c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{4 a^{\frac{3}{2}}}-\frac{B \,b^{3} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{5}{2}}}+\frac{\sqrt{c \,x^{2}+b x +a}\, A b \,c^{2} x}{16 a^{3}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{3} c x}{64 a^{4}}+\frac{\sqrt{c \,x^{2}+b x +a}\, B \,b^{2} c x}{8 a^{3}}-\frac{\sqrt{c \,x^{2}+b x +a}\, A \,c^{2}}{8 a^{2}}+\frac{7 \sqrt{c \,x^{2}+b x +a}\, A \,b^{2} c}{32 a^{3}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{4}}{64 a^{4}}-\frac{\sqrt{c \,x^{2}+b x +a}\, B b c}{4 a^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, B \,b^{3}}{8 a^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b c}{16 a^{3} x}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{3}}{64 a^{4} x}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{2}}{8 a^{3} x}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A c}{8 a^{2} x^{2}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2}}{32 a^{3} x^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b}{4 a^{2} x^{2}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b}{24 a^{2} x^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B}{3 a \,x^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A}{4 a \,x^{4}}"," ",0,"-1/4*A*(c*x^2+b*x+a)^(3/2)/a/x^4+5/24*A/a^2*b/x^3*(c*x^2+b*x+a)^(3/2)-5/32*A/a^3*b^2/x^2*(c*x^2+b*x+a)^(3/2)+5/64*A/a^4*b^3/x*(c*x^2+b*x+a)^(3/2)-5/64*A/a^4*b^4*(c*x^2+b*x+a)^(1/2)+5/128*A/a^(7/2)*b^4*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-5/64*A/a^4*b^3*c*(c*x^2+b*x+a)^(1/2)*x+7/32*A/a^3*b^2*c*(c*x^2+b*x+a)^(1/2)-3/16*A/a^(5/2)*b^2*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+1/8*A*c/a^2/x^2*(c*x^2+b*x+a)^(3/2)-1/16*A*c/a^3*b/x*(c*x^2+b*x+a)^(3/2)+1/16*A*c^2/a^3*b*(c*x^2+b*x+a)^(1/2)*x-1/8*A*c^2/a^2*(c*x^2+b*x+a)^(1/2)+1/8*A*c^2/a^(3/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-1/3*B/a/x^3*(c*x^2+b*x+a)^(3/2)+1/4*B/a^2*b/x^2*(c*x^2+b*x+a)^(3/2)-1/8*B/a^3*b^2/x*(c*x^2+b*x+a)^(3/2)+1/8*B/a^3*b^3*(c*x^2+b*x+a)^(1/2)-1/16*B/a^(5/2)*b^3*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+1/8*B/a^3*b^2*c*(c*x^2+b*x+a)^(1/2)*x-1/4*B/a^2*b*c*(c*x^2+b*x+a)^(1/2)+1/4*B/a^(3/2)*b*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)","B"
920,1,777,209,0.066000," ","int((B*x+A)*(c*x^2+b*x+a)^(1/2)/x^6,x)","-\frac{3 A b \,c^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{5}{2}}}+\frac{5 A \,b^{3} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{32 a^{\frac{7}{2}}}-\frac{7 A \,b^{5} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{256 a^{\frac{9}{2}}}+\frac{B \,c^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{3}{2}}}-\frac{3 B \,b^{2} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{5}{2}}}+\frac{5 B \,b^{4} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{128 a^{\frac{7}{2}}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,b^{2} c^{2} x}{32 a^{4}}+\frac{7 \sqrt{c \,x^{2}+b x +a}\, A \,b^{4} c x}{128 a^{5}}+\frac{\sqrt{c \,x^{2}+b x +a}\, B b \,c^{2} x}{16 a^{3}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{3} c x}{64 a^{4}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A b \,c^{2}}{16 a^{3}}-\frac{13 \sqrt{c \,x^{2}+b x +a}\, A \,b^{3} c}{64 a^{4}}+\frac{7 \sqrt{c \,x^{2}+b x +a}\, A \,b^{5}}{128 a^{5}}-\frac{\sqrt{c \,x^{2}+b x +a}\, B \,c^{2}}{8 a^{2}}+\frac{7 \sqrt{c \,x^{2}+b x +a}\, B \,b^{2} c}{32 a^{3}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{4}}{64 a^{4}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2} c}{32 a^{4} x}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{4}}{128 a^{5} x}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b c}{16 a^{3} x}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{3}}{64 a^{4} x}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b c}{16 a^{3} x^{2}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{3}}{64 a^{4} x^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B c}{8 a^{2} x^{2}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{2}}{32 a^{3} x^{2}}+\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A c}{15 a^{2} x^{3}}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2}}{48 a^{3} x^{3}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b}{24 a^{2} x^{3}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b}{40 a^{2} x^{4}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B}{4 a \,x^{4}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A}{5 a \,x^{5}}"," ",0,"-13/64*A/a^4*b^3*c*(c*x^2+b*x+a)^(1/2)+5/32*A/a^(7/2)*b^3*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+3/16*A/a^3*b*c^2*(c*x^2+b*x+a)^(1/2)-3/16*A/a^(5/2)*b*c^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+2/15*A*c/a^2/x^3*(c*x^2+b*x+a)^(3/2)+7/32*B/a^3*b^2*c*(c*x^2+b*x+a)^(1/2)-3/16*B/a^(5/2)*b^2*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+1/8*B*c/a^2/x^2*(c*x^2+b*x+a)^(3/2)+7/128*A/a^5*b^4*c*(c*x^2+b*x+a)^(1/2)*x-3/16*A/a^3*b*c/x^2*(c*x^2+b*x+a)^(3/2)+3/32*A/a^4*b^2*c/x*(c*x^2+b*x+a)^(3/2)-3/32*A/a^4*b^2*c^2*(c*x^2+b*x+a)^(1/2)*x-1/16*B*c/a^3*b/x*(c*x^2+b*x+a)^(3/2)+1/16*B*c^2/a^3*b*(c*x^2+b*x+a)^(1/2)*x-5/64*B/a^4*b^3*c*(c*x^2+b*x+a)^(1/2)*x-5/32*B/a^3*b^2/x^2*(c*x^2+b*x+a)^(3/2)+5/24*B/a^2*b/x^3*(c*x^2+b*x+a)^(3/2)+7/128*A/a^5*b^5*(c*x^2+b*x+a)^(1/2)-7/256*A/a^(9/2)*b^5*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-1/4*B/a/x^4*(c*x^2+b*x+a)^(3/2)-5/64*B/a^4*b^4*(c*x^2+b*x+a)^(1/2)+5/128*B/a^(7/2)*b^4*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-1/8*B*c^2/a^2*(c*x^2+b*x+a)^(1/2)+1/8*B*c^2/a^(3/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+7/40*A/a^2*b/x^4*(c*x^2+b*x+a)^(3/2)-7/48*A/a^3*b^2/x^3*(c*x^2+b*x+a)^(3/2)+7/64*A/a^4*b^3/x^2*(c*x^2+b*x+a)^(3/2)-7/128*A/a^5*b^4/x*(c*x^2+b*x+a)^(3/2)+5/64*B/a^4*b^3/x*(c*x^2+b*x+a)^(3/2)-1/5*A*(c*x^2+b*x+a)^(3/2)/a/x^5","B"
921,1,1014,280,0.069000," ","int((B*x+A)*(c*x^2+b*x+a)^(1/2)/x^7,x)","-\frac{A \,c^{3} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{5}{2}}}+\frac{15 A \,b^{2} c^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{64 a^{\frac{7}{2}}}-\frac{35 A \,b^{4} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{256 a^{\frac{9}{2}}}+\frac{21 A \,b^{6} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{1024 a^{\frac{11}{2}}}-\frac{3 B b \,c^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{5}{2}}}+\frac{5 B \,b^{3} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{32 a^{\frac{7}{2}}}-\frac{7 B \,b^{5} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{256 a^{\frac{9}{2}}}-\frac{\sqrt{c \,x^{2}+b x +a}\, A b \,c^{3} x}{32 a^{4}}+\frac{7 \sqrt{c \,x^{2}+b x +a}\, A \,b^{3} c^{2} x}{64 a^{5}}-\frac{21 \sqrt{c \,x^{2}+b x +a}\, A \,b^{5} c x}{512 a^{6}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, B \,b^{2} c^{2} x}{32 a^{4}}+\frac{7 \sqrt{c \,x^{2}+b x +a}\, B \,b^{4} c x}{128 a^{5}}+\frac{\sqrt{c \,x^{2}+b x +a}\, A \,c^{3}}{16 a^{3}}-\frac{\sqrt{c \,x^{2}+b x +a}\, A \,b^{2} c^{2}}{4 a^{4}}+\frac{49 \sqrt{c \,x^{2}+b x +a}\, A \,b^{4} c}{256 a^{5}}-\frac{21 \sqrt{c \,x^{2}+b x +a}\, A \,b^{6}}{512 a^{6}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B b \,c^{2}}{16 a^{3}}-\frac{13 \sqrt{c \,x^{2}+b x +a}\, B \,b^{3} c}{64 a^{4}}+\frac{7 \sqrt{c \,x^{2}+b x +a}\, B \,b^{5}}{128 a^{5}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b \,c^{2}}{32 a^{4} x}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{3} c}{64 a^{5} x}+\frac{21 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{5}}{512 a^{6} x}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{2} c}{32 a^{4} x}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{4}}{128 a^{5} x}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,c^{2}}{16 a^{3} x^{2}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2} c}{32 a^{4} x^{2}}-\frac{21 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{4}}{256 a^{5} x^{2}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b c}{16 a^{3} x^{2}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{3}}{64 a^{4} x^{2}}-\frac{49 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b c}{240 a^{3} x^{3}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{3}}{64 a^{4} x^{3}}+\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B c}{15 a^{2} x^{3}}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{2}}{48 a^{3} x^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A c}{8 a^{2} x^{4}}-\frac{21 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2}}{160 a^{3} x^{4}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b}{40 a^{2} x^{4}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b}{20 a^{2} x^{5}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B}{5 a \,x^{5}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A}{6 a \,x^{6}}"," ",0,"7/128*B/a^5*b^4*c*(c*x^2+b*x+a)^(1/2)*x-3/32*B/a^4*b^2*c^2*(c*x^2+b*x+a)^(1/2)*x+3/32*B/a^4*b^2*c/x*(c*x^2+b*x+a)^(3/2)-3/16*B/a^3*b*c/x^2*(c*x^2+b*x+a)^(3/2)+7/64*A/a^5*b^3*c^2*(c*x^2+b*x+a)^(1/2)*x-7/64*A/a^5*b^3*c/x*(c*x^2+b*x+a)^(3/2)-49/240*A/a^3*b*c/x^3*(c*x^2+b*x+a)^(3/2)+1/32*A*c^2/a^4*b/x*(c*x^2+b*x+a)^(3/2)-1/32*A*c^3/a^4*b*(c*x^2+b*x+a)^(1/2)*x-21/512*A/a^6*b^5*c*(c*x^2+b*x+a)^(1/2)*x+7/32*A/a^4*b^2*c/x^2*(c*x^2+b*x+a)^(3/2)+21/1024*A/a^(11/2)*b^6*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-21/512*A/a^6*b^6*(c*x^2+b*x+a)^(1/2)-1/16*A*c^3/a^(5/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+1/16*A*c^3/a^3*(c*x^2+b*x+a)^(1/2)-1/5*B/a/x^5*(c*x^2+b*x+a)^(3/2)+7/128*B/a^5*b^5*(c*x^2+b*x+a)^(1/2)-7/256*B/a^(9/2)*b^5*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-21/160*A/a^3*b^2/x^4*(c*x^2+b*x+a)^(3/2)+3/20*A/a^2*b/x^5*(c*x^2+b*x+a)^(3/2)+7/64*A/a^4*b^3/x^3*(c*x^2+b*x+a)^(3/2)-21/256*A/a^5*b^4/x^2*(c*x^2+b*x+a)^(3/2)+21/512*A/a^6*b^5/x*(c*x^2+b*x+a)^(3/2)+49/256*A/a^5*b^4*c*(c*x^2+b*x+a)^(1/2)-1/4*A/a^4*b^2*c^2*(c*x^2+b*x+a)^(1/2)+1/8*A*c/a^2/x^4*(c*x^2+b*x+a)^(3/2)-1/16*A*c^2/a^3/x^2*(c*x^2+b*x+a)^(3/2)-35/256*A/a^(9/2)*b^4*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+15/64*A/a^(7/2)*b^2*c^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+7/40*B/a^2*b/x^4*(c*x^2+b*x+a)^(3/2)-7/48*B/a^3*b^2/x^3*(c*x^2+b*x+a)^(3/2)+7/64*B/a^4*b^3/x^2*(c*x^2+b*x+a)^(3/2)-7/128*B/a^5*b^4/x*(c*x^2+b*x+a)^(3/2)-13/64*B/a^4*b^3*c*(c*x^2+b*x+a)^(1/2)+5/32*B/a^(7/2)*b^3*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+3/16*B/a^3*b*c^2*(c*x^2+b*x+a)^(1/2)-3/16*B/a^(5/2)*b*c^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+2/15*B*c/a^2/x^3*(c*x^2+b*x+a)^(3/2)-1/6*A*(c*x^2+b*x+a)^(3/2)/a/x^6","B"
922,1,1311,421,0.063000," ","int(x^4*(B*x+A)*(c*x^2+b*x+a)^(3/2),x)","\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,x^{4}}{9 c}+\frac{3 A \,a^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{5}{2}}}-\frac{15 A \,a^{3} b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{7}{2}}}+\frac{105 A \,a^{2} b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{1024 c^{\frac{9}{2}}}-\frac{63 A a \,b^{6} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2048 c^{\frac{11}{2}}}+\frac{99 A \,b^{8} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32768 c^{\frac{13}{2}}}-\frac{15 B \,a^{4} b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{7}{2}}}+\frac{35 B \,a^{3} b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{9}{2}}}-\frac{189 B \,a^{2} b^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2048 c^{\frac{11}{2}}}+\frac{99 B a \,b^{7} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4096 c^{\frac{13}{2}}}-\frac{143 B \,b^{9} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{65536 c^{\frac{15}{2}}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,a^{3} x}{128 c^{2}}-\frac{57 \sqrt{c \,x^{2}+b x +a}\, A \,a^{2} b^{2} x}{512 c^{3}}+\frac{153 \sqrt{c \,x^{2}+b x +a}\, A a \,b^{4} x}{2048 c^{4}}-\frac{99 \sqrt{c \,x^{2}+b x +a}\, A \,b^{6} x}{8192 c^{5}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,x^{3}}{8 c}-\frac{15 \sqrt{c \,x^{2}+b x +a}\, B \,a^{3} b x}{256 c^{3}}+\frac{125 \sqrt{c \,x^{2}+b x +a}\, B \,a^{2} b^{3} x}{1024 c^{4}}-\frac{253 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{5} x}{4096 c^{5}}+\frac{143 \sqrt{c \,x^{2}+b x +a}\, B \,b^{7} x}{16384 c^{6}}-\frac{13 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B b \,x^{3}}{144 c^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,a^{3} b}{256 c^{3}}-\frac{57 \sqrt{c \,x^{2}+b x +a}\, A \,a^{2} b^{3}}{1024 c^{4}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,a^{2} x}{64 c^{2}}+\frac{153 \sqrt{c \,x^{2}+b x +a}\, A a \,b^{5}}{4096 c^{5}}-\frac{9 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A a \,b^{2} x}{128 c^{3}}-\frac{99 \sqrt{c \,x^{2}+b x +a}\, A \,b^{7}}{16384 c^{6}}+\frac{33 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{4} x}{1024 c^{4}}-\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b \,x^{2}}{112 c^{2}}-\frac{15 \sqrt{c \,x^{2}+b x +a}\, B \,a^{3} b^{2}}{512 c^{4}}+\frac{125 \sqrt{c \,x^{2}+b x +a}\, B \,a^{2} b^{4}}{2048 c^{5}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,a^{2} b x}{128 c^{3}}-\frac{253 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{6}}{8192 c^{6}}+\frac{55 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a \,b^{3} x}{768 c^{4}}-\frac{4 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B a \,x^{2}}{63 c^{2}}+\frac{143 \sqrt{c \,x^{2}+b x +a}\, B \,b^{8}}{32768 c^{7}}-\frac{143 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{5} x}{6144 c^{5}}+\frac{143 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{2} x^{2}}{2016 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,a^{2} b}{128 c^{3}}-\frac{9 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A a \,b^{3}}{256 c^{4}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A a x}{16 c^{2}}+\frac{33 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{5}}{2048 c^{5}}+\frac{33 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{2} x}{448 c^{3}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,a^{2} b^{2}}{256 c^{4}}+\frac{55 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a \,b^{4}}{1536 c^{5}}+\frac{187 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B a b x}{2016 c^{3}}-\frac{143 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{6}}{12288 c^{6}}-\frac{143 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{3} x}{2688 c^{4}}+\frac{93 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A a b}{1120 c^{3}}-\frac{33 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{3}}{640 c^{4}}+\frac{8 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,a^{2}}{315 c^{3}}-\frac{209 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B a \,b^{2}}{2240 c^{4}}+\frac{143 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{4}}{3840 c^{5}}"," ",0,"-253/4096*B*b^5/c^5*(c*x^2+b*x+a)^(1/2)*x*a-15/256*B*b/c^3*a^3*(c*x^2+b*x+a)^(1/2)*x-9/128*A*b^2/c^3*a*(c*x^2+b*x+a)^(3/2)*x-57/512*A*b^2/c^3*a^2*(c*x^2+b*x+a)^(1/2)*x+153/2048*A*b^4/c^4*(c*x^2+b*x+a)^(1/2)*x*a-5/128*B*b/c^3*a^2*(c*x^2+b*x+a)^(3/2)*x+125/1024*B*b^3/c^4*a^2*(c*x^2+b*x+a)^(1/2)*x+55/768*B*b^3/c^4*a*(c*x^2+b*x+a)^(3/2)*x+187/2016*B*b/c^3*a*x*(c*x^2+b*x+a)^(5/2)+1/8*A*x^3*(c*x^2+b*x+a)^(5/2)/c+99/32768*A*b^8/c^(13/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/128*A*a^4/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-33/640*A*b^3/c^4*(c*x^2+b*x+a)^(5/2)+33/2048*A*b^5/c^5*(c*x^2+b*x+a)^(3/2)-99/16384*A*b^7/c^6*(c*x^2+b*x+a)^(1/2)+8/315*B*a^2/c^3*(c*x^2+b*x+a)^(5/2)-143/65536*B*b^9/c^(15/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+143/3840*B*b^4/c^5*(c*x^2+b*x+a)^(5/2)-143/12288*B*b^6/c^6*(c*x^2+b*x+a)^(3/2)+143/32768*B*b^8/c^7*(c*x^2+b*x+a)^(1/2)+3/256*A*a^3/c^3*(c*x^2+b*x+a)^(1/2)*b+3/128*A*a^3/c^2*(c*x^2+b*x+a)^(1/2)*x-15/128*A*b^2/c^(7/2)*a^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-63/2048*A*b^6/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-143/6144*B*b^5/c^5*(c*x^2+b*x+a)^(3/2)*x-99/8192*A*b^6/c^5*(c*x^2+b*x+a)^(1/2)*x+153/4096*A*b^5/c^5*(c*x^2+b*x+a)^(1/2)*a-9/256*A*b^3/c^4*a*(c*x^2+b*x+a)^(3/2)-57/1024*A*b^3/c^4*a^2*(c*x^2+b*x+a)^(1/2)+1/64*A*a^2/c^2*(c*x^2+b*x+a)^(3/2)*x+1/128*A*a^2/c^3*(c*x^2+b*x+a)^(3/2)*b+105/1024*A*b^4/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2-11/112*A*b/c^2*x^2*(c*x^2+b*x+a)^(5/2)+93/1120*A*b/c^3*a*(c*x^2+b*x+a)^(5/2)+33/448*A*b^2/c^3*x*(c*x^2+b*x+a)^(5/2)+33/1024*A*b^4/c^4*(c*x^2+b*x+a)^(3/2)*x-4/63*B*a/c^2*x^2*(c*x^2+b*x+a)^(5/2)-15/256*B*b/c^(7/2)*a^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+35/256*B*b^3/c^(9/2)*a^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+99/4096*B*b^7/c^(13/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-189/2048*B*b^5/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2+143/16384*B*b^7/c^6*(c*x^2+b*x+a)^(1/2)*x-253/8192*B*b^6/c^6*(c*x^2+b*x+a)^(1/2)*a+55/1536*B*b^4/c^5*a*(c*x^2+b*x+a)^(3/2)+125/2048*B*b^4/c^5*a^2*(c*x^2+b*x+a)^(1/2)-13/144*B*b/c^2*x^3*(c*x^2+b*x+a)^(5/2)-5/256*B*b^2/c^4*a^2*(c*x^2+b*x+a)^(3/2)-15/512*B*b^2/c^4*a^3*(c*x^2+b*x+a)^(1/2)+143/2016*B*b^2/c^3*x^2*(c*x^2+b*x+a)^(5/2)-209/2240*B*b^2/c^4*a*(c*x^2+b*x+a)^(5/2)-143/2688*B*b^3/c^4*x*(c*x^2+b*x+a)^(5/2)-1/16*A*a/c^2*x*(c*x^2+b*x+a)^(5/2)+1/9*B*x^4*(c*x^2+b*x+a)^(5/2)/c","B"
923,1,1061,326,0.063000," ","int(x^3*(B*x+A)*(c*x^2+b*x+a)^(3/2),x)","\frac{3 A \,a^{3} b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{5}{2}}}-\frac{15 A \,a^{2} b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{7}{2}}}+\frac{21 A a \,b^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{512 c^{\frac{9}{2}}}-\frac{9 A \,b^{7} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2048 c^{\frac{11}{2}}}+\frac{3 B \,a^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{5}{2}}}-\frac{15 B \,a^{3} b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{7}{2}}}+\frac{105 B \,a^{2} b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{1024 c^{\frac{9}{2}}}-\frac{63 B a \,b^{6} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2048 c^{\frac{11}{2}}}+\frac{99 B \,b^{8} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32768 c^{\frac{13}{2}}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,a^{2} b x}{32 c^{2}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, A a \,b^{3} x}{32 c^{3}}+\frac{9 \sqrt{c \,x^{2}+b x +a}\, A \,b^{5} x}{512 c^{4}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B \,a^{3} x}{128 c^{2}}-\frac{57 \sqrt{c \,x^{2}+b x +a}\, B \,a^{2} b^{2} x}{512 c^{3}}+\frac{153 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{4} x}{2048 c^{4}}-\frac{99 \sqrt{c \,x^{2}+b x +a}\, B \,b^{6} x}{8192 c^{5}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,x^{3}}{8 c}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,a^{2} b^{2}}{64 c^{3}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, A a \,b^{4}}{64 c^{4}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A a b x}{16 c^{2}}+\frac{9 \sqrt{c \,x^{2}+b x +a}\, A \,b^{6}}{1024 c^{5}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{3} x}{64 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,x^{2}}{7 c}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B \,a^{3} b}{256 c^{3}}-\frac{57 \sqrt{c \,x^{2}+b x +a}\, B \,a^{2} b^{3}}{1024 c^{4}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,a^{2} x}{64 c^{2}}+\frac{153 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{5}}{4096 c^{5}}-\frac{9 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a \,b^{2} x}{128 c^{3}}-\frac{99 \sqrt{c \,x^{2}+b x +a}\, B \,b^{7}}{16384 c^{6}}+\frac{33 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{4} x}{1024 c^{4}}-\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B b \,x^{2}}{112 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A a \,b^{2}}{32 c^{3}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{4}}{128 c^{4}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b x}{28 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,a^{2} b}{128 c^{3}}-\frac{9 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a \,b^{3}}{256 c^{4}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B a x}{16 c^{2}}+\frac{33 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{5}}{2048 c^{5}}+\frac{33 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{2} x}{448 c^{3}}-\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A a}{35 c^{2}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{2}}{40 c^{3}}+\frac{93 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B a b}{1120 c^{3}}-\frac{33 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{3}}{640 c^{4}}"," ",0,"-57/512*B*b^2/c^3*a^2*(c*x^2+b*x+a)^(1/2)*x-9/128*B*b^2/c^3*a*(c*x^2+b*x+a)^(3/2)*x+153/2048*B*b^4/c^4*(c*x^2+b*x+a)^(1/2)*x*a-3/32*A*b^3/c^3*(c*x^2+b*x+a)^(1/2)*x*a+1/16*A*b/c^2*a*(c*x^2+b*x+a)^(3/2)*x+3/32*A*b/c^2*a^2*(c*x^2+b*x+a)^(1/2)*x-99/8192*B*b^6/c^5*(c*x^2+b*x+a)^(1/2)*x+105/1024*B*b^4/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2-11/112*B*b/c^2*x^2*(c*x^2+b*x+a)^(5/2)-57/1024*B*b^3/c^4*a^2*(c*x^2+b*x+a)^(1/2)+21/512*A*b^5/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a+3/32*A*b/c^(5/2)*a^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/256*B*a^3/c^3*(c*x^2+b*x+a)^(1/2)*b-15/128*B*b^2/c^(7/2)*a^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+33/448*B*b^2/c^3*x*(c*x^2+b*x+a)^(5/2)-63/2048*B*b^6/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a+3/64*A*b^2/c^3*a^2*(c*x^2+b*x+a)^(1/2)-3/28*A*b/c^2*x*(c*x^2+b*x+a)^(5/2)-3/64*A*b^3/c^3*(c*x^2+b*x+a)^(3/2)*x+9/512*A*b^5/c^4*(c*x^2+b*x+a)^(1/2)*x-3/64*A*b^4/c^4*(c*x^2+b*x+a)^(1/2)*a+1/32*A*b^2/c^3*a*(c*x^2+b*x+a)^(3/2)-15/128*A*b^3/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2+3/128*B*a^3/c^2*(c*x^2+b*x+a)^(1/2)*x+33/1024*B*b^4/c^4*(c*x^2+b*x+a)^(3/2)*x+153/4096*B*b^5/c^5*(c*x^2+b*x+a)^(1/2)*a-9/256*B*b^3/c^4*a*(c*x^2+b*x+a)^(3/2)+93/1120*B*b/c^3*a*(c*x^2+b*x+a)^(5/2)-1/16*B*a/c^2*x*(c*x^2+b*x+a)^(5/2)+1/64*B*a^2/c^2*(c*x^2+b*x+a)^(3/2)*x+1/128*B*a^2/c^3*(c*x^2+b*x+a)^(3/2)*b+33/2048*B*b^5/c^5*(c*x^2+b*x+a)^(3/2)-99/16384*B*b^7/c^6*(c*x^2+b*x+a)^(1/2)-33/640*B*b^3/c^4*(c*x^2+b*x+a)^(5/2)+99/32768*B*b^8/c^(13/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/128*B*a^4/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/7*A*x^2*(c*x^2+b*x+a)^(5/2)/c+9/1024*A*b^6/c^5*(c*x^2+b*x+a)^(1/2)+3/40*A*b^2/c^3*(c*x^2+b*x+a)^(5/2)-3/128*A*b^4/c^4*(c*x^2+b*x+a)^(3/2)-9/2048*A*b^7/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-2/35*A*a/c^2*(c*x^2+b*x+a)^(5/2)+1/8*B*x^3*(c*x^2+b*x+a)^(5/2)/c","B"
924,1,838,243,0.062000," ","int(x^2*(B*x+A)*(c*x^2+b*x+a)^(3/2),x)","-\frac{A \,a^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{3}{2}}}+\frac{9 A \,a^{2} b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{5}{2}}}-\frac{15 A a \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{7}{2}}}+\frac{7 A \,b^{6} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{1024 c^{\frac{9}{2}}}+\frac{3 B \,a^{3} b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{5}{2}}}-\frac{15 B \,a^{2} b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{7}{2}}}+\frac{21 B a \,b^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{512 c^{\frac{9}{2}}}-\frac{9 B \,b^{7} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2048 c^{\frac{11}{2}}}-\frac{\sqrt{c \,x^{2}+b x +a}\, A \,a^{2} x}{16 c}+\frac{\sqrt{c \,x^{2}+b x +a}\, A a \,b^{2} x}{8 c^{2}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, A \,b^{4} x}{256 c^{3}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B \,a^{2} b x}{32 c^{2}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{3} x}{32 c^{3}}+\frac{9 \sqrt{c \,x^{2}+b x +a}\, B \,b^{5} x}{512 c^{4}}-\frac{\sqrt{c \,x^{2}+b x +a}\, A \,a^{2} b}{32 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, A a \,b^{3}}{16 c^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A a x}{24 c}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, A \,b^{5}}{512 c^{4}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2} x}{96 c^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B \,a^{2} b^{2}}{64 c^{3}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{4}}{64 c^{4}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a b x}{16 c^{2}}+\frac{9 \sqrt{c \,x^{2}+b x +a}\, B \,b^{6}}{1024 c^{5}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{3} x}{64 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,x^{2}}{7 c}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A a b}{48 c^{2}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{3}}{192 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A x}{6 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a \,b^{2}}{32 c^{3}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{4}}{128 c^{4}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B b x}{28 c^{2}}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b}{60 c^{2}}-\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B a}{35 c^{2}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{2}}{40 c^{3}}"," ",0,"-3/32*B*b^3/c^3*(c*x^2+b*x+a)^(1/2)*x*a+1/16*B*b/c^2*a*(c*x^2+b*x+a)^(3/2)*x+1/8*A*b^2/c^2*(c*x^2+b*x+a)^(1/2)*x*a+3/32*B*b/c^2*a^2*(c*x^2+b*x+a)^(1/2)*x+3/40*B*b^2/c^3*(c*x^2+b*x+a)^(5/2)-3/128*B*b^4/c^4*(c*x^2+b*x+a)^(3/2)+9/1024*B*b^6/c^5*(c*x^2+b*x+a)^(1/2)-1/16*A*a^3/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-3/64*B*b^4/c^4*(c*x^2+b*x+a)^(1/2)*a+1/32*B*b^2/c^3*a*(c*x^2+b*x+a)^(3/2)+9/64*A*b^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2-1/48*A*a/c^2*(c*x^2+b*x+a)^(3/2)*b-15/256*A*b^4/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-3/28*B*b/c^2*x*(c*x^2+b*x+a)^(5/2)+7/96*A*b^2/c^2*(c*x^2+b*x+a)^(3/2)*x-1/16*A*a^2/c*(c*x^2+b*x+a)^(1/2)*x+3/64*B*b^2/c^3*a^2*(c*x^2+b*x+a)^(1/2)-15/128*B*b^3/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2-1/24*A*a/c*(c*x^2+b*x+a)^(3/2)*x+9/512*B*b^5/c^4*(c*x^2+b*x+a)^(1/2)*x-3/64*B*b^3/c^3*(c*x^2+b*x+a)^(3/2)*x-7/256*A*b^4/c^3*(c*x^2+b*x+a)^(1/2)*x+1/16*A*b^3/c^3*(c*x^2+b*x+a)^(1/2)*a-1/32*A*a^2/c^2*(c*x^2+b*x+a)^(1/2)*b+21/512*B*b^5/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a+3/32*B*b/c^(5/2)*a^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/6*A*x*(c*x^2+b*x+a)^(5/2)/c-7/60*A*b/c^2*(c*x^2+b*x+a)^(5/2)+7/192*A*b^3/c^3*(c*x^2+b*x+a)^(3/2)-7/512*A*b^5/c^4*(c*x^2+b*x+a)^(1/2)+7/1024*A*b^6/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-2/35*B*a/c^2*(c*x^2+b*x+a)^(5/2)-9/2048*B*b^7/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/7*B*x^2*(c*x^2+b*x+a)^(5/2)/c","B"
925,1,644,176,0.049000," ","int(x*(B*x+A)*(c*x^2+b*x+a)^(3/2),x)","-\frac{3 A \,a^{2} b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{3}{2}}}+\frac{3 A a \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{5}{2}}}-\frac{3 A \,b^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{7}{2}}}-\frac{B \,a^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{3}{2}}}+\frac{9 B \,a^{2} b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{5}{2}}}-\frac{15 B a \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{7}{2}}}+\frac{7 B \,b^{6} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{1024 c^{\frac{9}{2}}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, A a b x}{16 c}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,b^{3} x}{64 c^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, B \,a^{2} x}{16 c}+\frac{\sqrt{c \,x^{2}+b x +a}\, B a \,b^{2} x}{8 c^{2}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, B \,b^{4} x}{256 c^{3}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, A a \,b^{2}}{32 c^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,b^{4}}{128 c^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b x}{8 c}-\frac{\sqrt{c \,x^{2}+b x +a}\, B \,a^{2} b}{32 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, B a \,b^{3}}{16 c^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a x}{24 c}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, B \,b^{5}}{512 c^{4}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{2} x}{96 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2}}{16 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a b}{48 c^{2}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{3}}{192 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B x}{6 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A}{5 c}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B b}{60 c^{2}}"," ",0,"-3/16*A*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2-1/8*A*b/c*x*(c*x^2+b*x+a)^(3/2)+3/64*A*b^3/c^2*(c*x^2+b*x+a)^(1/2)*x-1/16*B*a^2/c*(c*x^2+b*x+a)^(1/2)*x-1/32*B*a^2/c^2*(c*x^2+b*x+a)^(1/2)*b-1/48*B*a/c^2*(c*x^2+b*x+a)^(3/2)*b-15/256*B*b^4/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-1/24*B*a/c*x*(c*x^2+b*x+a)^(3/2)+9/64*B*b^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2-7/256*B*b^4/c^3*(c*x^2+b*x+a)^(1/2)*x+1/16*B*b^3/c^3*(c*x^2+b*x+a)^(1/2)*a+7/96*B*b^2/c^2*x*(c*x^2+b*x+a)^(3/2)+1/8*B*b^2/c^2*(c*x^2+b*x+a)^(1/2)*x*a-3/16*A*b/c*(c*x^2+b*x+a)^(1/2)*x*a+7/192*B*b^3/c^3*(c*x^2+b*x+a)^(3/2)+1/6*B*x*(c*x^2+b*x+a)^(5/2)/c-7/60*B*b/c^2*(c*x^2+b*x+a)^(5/2)-7/512*B*b^5/c^4*(c*x^2+b*x+a)^(1/2)+7/1024*B*b^6/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/16*B*a^3/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/16*A*b^2/c^2*(c*x^2+b*x+a)^(3/2)+3/128*A*b^4/c^3*(c*x^2+b*x+a)^(1/2)-3/256*A*b^5/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-3/32*A*b^2/c^2*(c*x^2+b*x+a)^(1/2)*a+3/32*A*b^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a+1/5*A*(c*x^2+b*x+a)^(5/2)/c","B"
926,1,469,136,0.048000," ","int((B*x+A)*(c*x^2+b*x+a)^(3/2),x)","\frac{3 A \,a^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 \sqrt{c}}-\frac{3 A a \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{3}{2}}}+\frac{3 A \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{5}{2}}}-\frac{3 B \,a^{2} b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{3}{2}}}+\frac{3 B a \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{5}{2}}}-\frac{3 B \,b^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{7}{2}}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A a x}{8}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,b^{2} x}{32 c}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, B a b x}{16 c}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B \,b^{3} x}{64 c^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A a b}{16 c}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,b^{3}}{64 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A x}{4}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{2}}{32 c^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B \,b^{4}}{128 c^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b x}{8 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b}{8 c}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{2}}{16 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B}{5 c}"," ",0,"1/5*B*(c*x^2+b*x+a)^(5/2)/c-1/8*B*b/c*x*(c*x^2+b*x+a)^(3/2)-1/16*B*b^2/c^2*(c*x^2+b*x+a)^(3/2)-3/16*B*b/c*(c*x^2+b*x+a)^(1/2)*x*a+3/64*B*b^3/c^2*(c*x^2+b*x+a)^(1/2)*x-3/32*B*b^2/c^2*(c*x^2+b*x+a)^(1/2)*a+3/128*B*b^4/c^3*(c*x^2+b*x+a)^(1/2)-3/16*B*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2+3/32*B*b^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-3/256*B*b^5/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/4*A*x*(c*x^2+b*x+a)^(3/2)+1/8*A/c*(c*x^2+b*x+a)^(3/2)*b+3/8*A*(c*x^2+b*x+a)^(1/2)*x*a-3/32*A/c*(c*x^2+b*x+a)^(1/2)*x*b^2+3/16*A/c*(c*x^2+b*x+a)^(1/2)*b*a-3/64*A/c^2*(c*x^2+b*x+a)^(1/2)*b^3+3/8*A/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2-3/16*A/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^2*a+3/128*A/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^4","B"
927,1,390,192,0.053000," ","int((B*x+A)*(c*x^2+b*x+a)^(3/2)/x,x)","-A \,a^{\frac{3}{2}} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)+\frac{3 A a b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 \sqrt{c}}-\frac{A \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{3}{2}}}+\frac{3 B \,a^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 \sqrt{c}}-\frac{3 B a \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{3}{2}}}+\frac{3 B \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{5}{2}}}+\frac{\sqrt{c \,x^{2}+b x +a}\, A b x}{4}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B a x}{8}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, B \,b^{2} x}{32 c}+\sqrt{c \,x^{2}+b x +a}\, A a +\frac{\sqrt{c \,x^{2}+b x +a}\, A \,b^{2}}{8 c}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B a b}{16 c}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, B \,b^{3}}{64 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B x}{4}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A}{3}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b}{8 c}"," ",0,"1/4*B*x*(c*x^2+b*x+a)^(3/2)+1/8*B/c*(c*x^2+b*x+a)^(3/2)*b+3/8*B*(c*x^2+b*x+a)^(1/2)*x*a-3/32*B/c*(c*x^2+b*x+a)^(1/2)*x*b^2+3/16*B/c*(c*x^2+b*x+a)^(1/2)*b*a-3/64*B/c^2*(c*x^2+b*x+a)^(1/2)*b^3+3/8*B/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2-3/16*B/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^2*a+3/128*B/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^4+1/3*A*(c*x^2+b*x+a)^(3/2)+1/4*A*b*(c*x^2+b*x+a)^(1/2)*x+1/8*A/c*(c*x^2+b*x+a)^(1/2)*b^2+3/4*A*b/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-1/16*A/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^3+A*a*(c*x^2+b*x+a)^(1/2)-A*a^(3/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)","B"
928,1,365,165,0.057000," ","int((B*x+A)*(c*x^2+b*x+a)^(3/2)/x^2,x)","\frac{3 A a \sqrt{c}\, \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2}-\frac{3 A \sqrt{a}\, b \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2}+\frac{3 A \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 \sqrt{c}}-B \,a^{\frac{3}{2}} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)+\frac{3 B a b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 \sqrt{c}}-\frac{B \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{3}{2}}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A c x}{2}+\frac{\sqrt{c \,x^{2}+b x +a}\, B b x}{4}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A c x}{a}+\frac{9 \sqrt{c \,x^{2}+b x +a}\, A b}{4}+\sqrt{c \,x^{2}+b x +a}\, B a +\frac{\sqrt{c \,x^{2}+b x +a}\, B \,b^{2}}{8 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b}{a}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B}{3}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A}{a x}"," ",0,"-A/a/x*(c*x^2+b*x+a)^(5/2)+A/a*b*(c*x^2+b*x+a)^(3/2)+3/8*A*b^2/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+9/4*A*b*(c*x^2+b*x+a)^(1/2)-3/2*A*a^(1/2)*b*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+A*c/a*(c*x^2+b*x+a)^(3/2)*x+3/2*A*c*(c*x^2+b*x+a)^(1/2)*x+3/2*A*c^(1/2)*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/3*B*(c*x^2+b*x+a)^(3/2)+1/4*B*b*(c*x^2+b*x+a)^(1/2)*x+1/8*B/c*(c*x^2+b*x+a)^(1/2)*b^2+3/4*B*b/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-1/16*B/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^3+B*a*(c*x^2+b*x+a)^(1/2)-B*a^(3/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)","B"
929,1,463,151,0.062000," ","int((B*x+A)*(c*x^2+b*x+a)^(3/2)/x^3,x)","-\frac{3 A \sqrt{a}\, c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2}-\frac{3 A \,b^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{8 \sqrt{a}}+\frac{3 A b \sqrt{c}\, \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2}+\frac{3 B a \sqrt{c}\, \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2}-\frac{3 B \sqrt{a}\, b \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2}+\frac{3 B \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 \sqrt{c}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A b c x}{4 a}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B c x}{2}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,b^{2}}{4 a}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b c x}{4 a^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A c}{2}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B c x}{a}+\frac{9 \sqrt{c \,x^{2}+b x +a}\, B b}{4}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A c}{2 a}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2}}{4 a^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b}{a}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b}{4 a^{2} x}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B}{a x}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A}{2 a \,x^{2}}"," ",0,"-1/2*A/a/x^2*(c*x^2+b*x+a)^(5/2)-1/4*A/a^2*b/x*(c*x^2+b*x+a)^(5/2)+1/4*A/a^2*b^2*(c*x^2+b*x+a)^(3/2)+3/4*A/a*b^2*(c*x^2+b*x+a)^(1/2)-3/8*A/a^(1/2)*b^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+1/4*A/a^2*b*c*(c*x^2+b*x+a)^(3/2)*x+3/4*A/a*b*c*(c*x^2+b*x+a)^(1/2)*x+3/2*A*b*c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/2*A*c/a*(c*x^2+b*x+a)^(3/2)+3/2*A*c*(c*x^2+b*x+a)^(1/2)-3/2*A*c*a^(1/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-B/a/x*(c*x^2+b*x+a)^(5/2)+B/a*b*(c*x^2+b*x+a)^(3/2)+3/8*B*b^2/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+9/4*B*b*(c*x^2+b*x+a)^(1/2)-3/2*B*a^(1/2)*b*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+B*c/a*(c*x^2+b*x+a)^(3/2)*x+3/2*B*c*(c*x^2+b*x+a)^(1/2)*x+3/2*B*c^(1/2)*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))","B"
930,1,635,178,0.062000," ","int((B*x+A)*(c*x^2+b*x+a)^(3/2)/x^4,x)","-\frac{3 A b c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{4 \sqrt{a}}+\frac{A \,b^{3} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{3}{2}}}+A \,c^{\frac{3}{2}} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)-\frac{3 B \sqrt{a}\, c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2}-\frac{3 B \,b^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{8 \sqrt{a}}+\frac{3 B b \sqrt{c}\, \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2}+\frac{\sqrt{c \,x^{2}+b x +a}\, A \,c^{2} x}{a}-\frac{\sqrt{c \,x^{2}+b x +a}\, A \,b^{2} c x}{8 a^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B b c x}{4 a}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A b c}{4 a}-\frac{\sqrt{c \,x^{2}+b x +a}\, A \,b^{3}}{8 a^{2}}+\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,c^{2} x}{3 a^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2} c x}{24 a^{3}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B \,b^{2}}{4 a}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b c x}{4 a^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B c}{2}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b c}{12 a^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{3}}{24 a^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B c}{2 a}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{2}}{4 a^{2}}-\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A c}{3 a^{2} x}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{2}}{24 a^{3} x}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B b}{4 a^{2} x}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b}{12 a^{2} x^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B}{2 a \,x^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A}{3 a \,x^{3}}"," ",0,"5/4*A/a*b*c*(c*x^2+b*x+a)^(1/2)-3/4*A/a^(1/2)*b*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-2/3*A*c/a^2/x*(c*x^2+b*x+a)^(5/2)-1/8*A/a^2*b^2*c*(c*x^2+b*x+a)^(1/2)*x-1/24*A/a^3*b^2*c*(c*x^2+b*x+a)^(3/2)*x+3/4*B/a*b*c*(c*x^2+b*x+a)^(1/2)*x+1/4*B/a^2*b*c*(c*x^2+b*x+a)^(3/2)*x-1/4*B/a^2*b/x*(c*x^2+b*x+a)^(5/2)+1/12*A/a^2*b/x^2*(c*x^2+b*x+a)^(5/2)+3/2*B*b*c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/2*B*c/a*(c*x^2+b*x+a)^(3/2)-3/2*B*c*a^(1/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-1/3*A/a/x^3*(c*x^2+b*x+a)^(5/2)-1/24*A/a^3*b^3*(c*x^2+b*x+a)^(3/2)-1/8*A/a^2*b^3*(c*x^2+b*x+a)^(1/2)+1/16*A/a^(3/2)*b^3*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+A*c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/2*B*c*(c*x^2+b*x+a)^(1/2)-1/2*B/a/x^2*(c*x^2+b*x+a)^(5/2)+1/4*B/a^2*b^2*(c*x^2+b*x+a)^(3/2)+3/4*B/a*b^2*(c*x^2+b*x+a)^(1/2)-3/8*B/a^(1/2)*b^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+1/24*A/a^3*b^2/x*(c*x^2+b*x+a)^(5/2)+7/12*A/a^2*b*c*(c*x^2+b*x+a)^(3/2)+2/3*A*c^2/a^2*(c*x^2+b*x+a)^(3/2)*x+A*c^2/a*(c*x^2+b*x+a)^(1/2)*x","B"
931,1,838,191,0.081000," ","int((B*x+A)*(c*x^2+b*x+a)^(3/2)/x^5,x)","-\frac{3 A \,c^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{8 \sqrt{a}}+\frac{3 A \,b^{2} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{3}{2}}}-\frac{3 A \,b^{4} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{128 a^{\frac{5}{2}}}-\frac{3 B b c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{4 \sqrt{a}}+\frac{B \,b^{3} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{3}{2}}}+B \,c^{\frac{3}{2}} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)-\frac{3 \sqrt{c \,x^{2}+b x +a}\, A b \,c^{2} x}{16 a^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,b^{3} c x}{64 a^{3}}+\frac{\sqrt{c \,x^{2}+b x +a}\, B \,c^{2} x}{a}-\frac{\sqrt{c \,x^{2}+b x +a}\, B \,b^{2} c x}{8 a^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,c^{2}}{8 a}-\frac{9 \sqrt{c \,x^{2}+b x +a}\, A \,b^{2} c}{32 a^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,b^{4}}{64 a^{3}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b \,c^{2} x}{16 a^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{3} c x}{64 a^{4}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B b c}{4 a}-\frac{\sqrt{c \,x^{2}+b x +a}\, B \,b^{3}}{8 a^{2}}+\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,c^{2} x}{3 a^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{2} c x}{24 a^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,c^{2}}{8 a^{2}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2} c}{32 a^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{4}}{64 a^{4}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b c}{12 a^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{3}}{24 a^{3}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b c}{16 a^{3} x}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{3}}{64 a^{4} x}-\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B c}{3 a^{2} x}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{2}}{24 a^{3} x}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A c}{8 a^{2} x^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{2}}{32 a^{3} x^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B b}{12 a^{2} x^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b}{8 a^{2} x^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B}{3 a \,x^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A}{4 a \,x^{4}}"," ",0,"3/64*A/a^3*b^3*c*(c*x^2+b*x+a)^(1/2)*x+1/64*A/a^4*b^3*c*(c*x^2+b*x+a)^(3/2)*x-1/24*B/a^3*b^2*c*(c*x^2+b*x+a)^(3/2)*x-1/8*B/a^2*b^2*c*(c*x^2+b*x+a)^(1/2)*x-3/16*A/a^3*b*c^2*(c*x^2+b*x+a)^(3/2)*x-3/16*A/a^2*b*c^2*(c*x^2+b*x+a)^(1/2)*x+3/16*A/a^3*b*c/x*(c*x^2+b*x+a)^(5/2)+5/4*B/a*b*c*(c*x^2+b*x+a)^(1/2)-2/3*B*c/a^2/x*(c*x^2+b*x+a)^(5/2)-1/3*B/a/x^3*(c*x^2+b*x+a)^(5/2)-1/24*B/a^3*b^3*(c*x^2+b*x+a)^(3/2)-1/8*B/a^2*b^3*(c*x^2+b*x+a)^(1/2)+1/16*B/a^(3/2)*b^3*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-3/128*A/a^(5/2)*b^4*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+1/8*A*c^2/a^2*(c*x^2+b*x+a)^(3/2)+3/8*A*c^2/a*(c*x^2+b*x+a)^(1/2)+1/64*A/a^4*b^4*(c*x^2+b*x+a)^(3/2)+3/64*A/a^3*b^4*(c*x^2+b*x+a)^(1/2)-1/4*A/a/x^4*(c*x^2+b*x+a)^(5/2)-3/8*A*c^2/a^(1/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+B*c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/16*A/a^(3/2)*b^2*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-3/4*B/a^(1/2)*b*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+2/3*B*c^2/a^2*(c*x^2+b*x+a)^(3/2)*x+B*c^2/a*(c*x^2+b*x+a)^(1/2)*x-1/32*A/a^3*b^2/x^2*(c*x^2+b*x+a)^(5/2)-1/8*A*c/a^2/x^2*(c*x^2+b*x+a)^(5/2)+1/8*A/a^2*b/x^3*(c*x^2+b*x+a)^(5/2)+1/12*B/a^2*b/x^2*(c*x^2+b*x+a)^(5/2)+1/24*B/a^3*b^2/x*(c*x^2+b*x+a)^(5/2)+7/12*B/a^2*b*c*(c*x^2+b*x+a)^(3/2)-1/64*A/a^4*b^3/x*(c*x^2+b*x+a)^(5/2)-5/32*A/a^3*b^2*c*(c*x^2+b*x+a)^(3/2)-9/32*A/a^2*b^2*c*(c*x^2+b*x+a)^(1/2)","B"
932,1,978,148,0.090000," ","int((B*x+A)*(c*x^2+b*x+a)^(3/2)/x^6,x)","\frac{3 A b \,c^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{3}{2}}}-\frac{3 A \,b^{3} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{32 a^{\frac{5}{2}}}+\frac{3 A \,b^{5} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{256 a^{\frac{7}{2}}}-\frac{3 B \,c^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{8 \sqrt{a}}+\frac{3 B \,b^{2} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{3}{2}}}-\frac{3 B \,b^{4} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{128 a^{\frac{5}{2}}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,b^{2} c^{2} x}{32 a^{3}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,b^{4} c x}{128 a^{4}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, B b \,c^{2} x}{16 a^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B \,b^{3} c x}{64 a^{3}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, A b \,c^{2}}{16 a^{2}}+\frac{9 \sqrt{c \,x^{2}+b x +a}\, A \,b^{3} c}{64 a^{3}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,b^{5}}{128 a^{4}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2} c^{2} x}{32 a^{4}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{4} c x}{128 a^{5}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B \,c^{2}}{8 a}-\frac{9 \sqrt{c \,x^{2}+b x +a}\, B \,b^{2} c}{32 a^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B \,b^{4}}{64 a^{3}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b \,c^{2} x}{16 a^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{3} c x}{64 a^{4}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b \,c^{2}}{16 a^{3}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{3} c}{64 a^{4}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{5}}{128 a^{5}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,c^{2}}{8 a^{2}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{2} c}{32 a^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{4}}{64 a^{4}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{2} c}{32 a^{4} x}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{4}}{128 a^{5} x}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B b c}{16 a^{3} x}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{3}}{64 a^{4} x}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b c}{16 a^{3} x^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{3}}{64 a^{4} x^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B c}{8 a^{2} x^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{2}}{32 a^{3} x^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{2}}{16 a^{3} x^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B b}{8 a^{2} x^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b}{8 a^{2} x^{4}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B}{4 a \,x^{4}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A}{5 a \,x^{5}}"," ",0,"-3/16*B/a^3*b*c^2*(c*x^2+b*x+a)^(3/2)*x-3/16*B/a^2*b*c^2*(c*x^2+b*x+a)^(1/2)*x+3/32*A/a^3*b^2*c^2*(c*x^2+b*x+a)^(1/2)*x+1/16*A/a^3*b*c/x^2*(c*x^2+b*x+a)^(5/2)+3/32*A/a^4*b^2*c^2*(c*x^2+b*x+a)^(3/2)*x-3/32*A/a^4*b^2*c/x*(c*x^2+b*x+a)^(5/2)-1/128*A/a^5*b^4*c*(c*x^2+b*x+a)^(3/2)*x-3/128*A/a^4*b^4*c*(c*x^2+b*x+a)^(1/2)*x+1/64*B/a^4*b^3*c*(c*x^2+b*x+a)^(3/2)*x+3/64*B/a^3*b^3*c*(c*x^2+b*x+a)^(1/2)*x+3/16*B/a^3*b*c/x*(c*x^2+b*x+a)^(5/2)+1/64*A/a^4*b^3/x^2*(c*x^2+b*x+a)^(5/2)-1/128*A/a^5*b^5*(c*x^2+b*x+a)^(3/2)-3/128*A/a^4*b^5*(c*x^2+b*x+a)^(1/2)+3/256*A/a^(7/2)*b^5*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-3/8*B*c^2/a^(1/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+1/64*B/a^4*b^4*(c*x^2+b*x+a)^(3/2)+3/64*B/a^3*b^4*(c*x^2+b*x+a)^(1/2)+1/8*B*c^2/a^2*(c*x^2+b*x+a)^(3/2)+3/8*B*c^2/a*(c*x^2+b*x+a)^(1/2)-1/4*B/a/x^4*(c*x^2+b*x+a)^(5/2)-3/128*B/a^(5/2)*b^4*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+5/64*A/a^4*b^3*c*(c*x^2+b*x+a)^(3/2)+9/64*A/a^3*b^3*c*(c*x^2+b*x+a)^(1/2)+3/16*A/a^(3/2)*b*c^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-1/16*A/a^3*b*c^2*(c*x^2+b*x+a)^(3/2)-3/16*A/a^2*b*c^2*(c*x^2+b*x+a)^(1/2)+1/8*A/a^2*b/x^4*(c*x^2+b*x+a)^(5/2)-3/32*A/a^(5/2)*b^3*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-1/16*A/a^3*b^2/x^3*(c*x^2+b*x+a)^(5/2)+1/8*B/a^2*b/x^3*(c*x^2+b*x+a)^(5/2)-1/32*B/a^3*b^2/x^2*(c*x^2+b*x+a)^(5/2)-1/64*B/a^4*b^3/x*(c*x^2+b*x+a)^(5/2)-5/32*B/a^3*b^2*c*(c*x^2+b*x+a)^(3/2)-9/32*B/a^2*b^2*c*(c*x^2+b*x+a)^(1/2)-1/8*B*c/a^2/x^2*(c*x^2+b*x+a)^(5/2)+3/16*B/a^(3/2)*b^2*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+1/128*A/a^5*b^4/x*(c*x^2+b*x+a)^(5/2)-1/5*A*(c*x^2+b*x+a)^(5/2)/a/x^5","B"
933,1,1264,204,0.077000," ","int((B*x+A)*(c*x^2+b*x+a)^(3/2)/x^7,x)","\frac{A \,c^{3} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{3}{2}}}-\frac{9 A \,b^{2} c^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{64 a^{\frac{5}{2}}}+\frac{15 A \,b^{4} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{256 a^{\frac{7}{2}}}-\frac{7 A \,b^{6} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{1024 a^{\frac{9}{2}}}+\frac{3 B b \,c^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{3}{2}}}-\frac{3 B \,b^{3} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{32 a^{\frac{5}{2}}}+\frac{3 B \,b^{5} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{256 a^{\frac{7}{2}}}+\frac{\sqrt{c \,x^{2}+b x +a}\, A b \,c^{3} x}{32 a^{3}}-\frac{\sqrt{c \,x^{2}+b x +a}\, A \,b^{3} c^{2} x}{16 a^{4}}+\frac{7 \sqrt{c \,x^{2}+b x +a}\, A \,b^{5} c x}{512 a^{5}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B \,b^{2} c^{2} x}{32 a^{3}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, B \,b^{4} c x}{128 a^{4}}-\frac{\sqrt{c \,x^{2}+b x +a}\, A \,c^{3}}{16 a^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{2} c^{2}}{32 a^{3}}-\frac{23 \sqrt{c \,x^{2}+b x +a}\, A \,b^{4} c}{256 a^{4}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b \,c^{3} x}{32 a^{4}}+\frac{7 \sqrt{c \,x^{2}+b x +a}\, A \,b^{6}}{512 a^{5}}-\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{3} c^{2} x}{192 a^{5}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{5} c x}{1536 a^{6}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, B b \,c^{2}}{16 a^{2}}+\frac{9 \sqrt{c \,x^{2}+b x +a}\, B \,b^{3} c}{64 a^{3}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, B \,b^{5}}{128 a^{4}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{2} c^{2} x}{32 a^{4}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{4} c x}{128 a^{5}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,c^{3}}{48 a^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2} c^{2}}{16 a^{4}}-\frac{37 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{4} c}{768 a^{5}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{6}}{1536 a^{6}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b \,c^{2}}{16 a^{3}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{3} c}{64 a^{4}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{5}}{128 a^{5}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b \,c^{2}}{32 a^{4} x}+\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{3} c}{192 a^{5} x}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{5}}{1536 a^{6} x}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{2} c}{32 a^{4} x}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{4}}{128 a^{5} x}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,c^{2}}{48 a^{3} x^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{2} c}{32 a^{4} x^{2}}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{4}}{768 a^{5} x^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B b c}{16 a^{3} x^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{3}}{64 a^{4} x^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b c}{48 a^{3} x^{3}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{3}}{192 a^{4} x^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{2}}{16 a^{3} x^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A c}{24 a^{2} x^{4}}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{2}}{96 a^{3} x^{4}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B b}{8 a^{2} x^{4}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b}{60 a^{2} x^{5}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B}{5 a \,x^{5}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A}{6 a \,x^{6}}"," ",0,"7/1536*A/a^6*b^5*c*(c*x^2+b*x+a)^(3/2)*x+7/512*A/a^5*b^5*c*(c*x^2+b*x+a)^(1/2)*x+11/192*A/a^5*b^3*c/x*(c*x^2+b*x+a)^(5/2)-1/32*A/a^4*b^2*c/x^2*(c*x^2+b*x+a)^(5/2)-1/16*A/a^4*b^3*c^2*(c*x^2+b*x+a)^(1/2)*x-11/192*A/a^5*b^3*c^2*(c*x^2+b*x+a)^(3/2)*x-1/32*A*c^2/a^4*b/x*(c*x^2+b*x+a)^(5/2)-1/48*A*c/a^3*b/x^3*(c*x^2+b*x+a)^(5/2)+1/32*A*c^3/a^3*b*(c*x^2+b*x+a)^(1/2)*x+1/32*A*c^3/a^4*b*(c*x^2+b*x+a)^(3/2)*x+3/32*B/a^3*b^2*c^2*(c*x^2+b*x+a)^(1/2)*x+3/32*B/a^4*b^2*c^2*(c*x^2+b*x+a)^(3/2)*x+1/16*B/a^3*b*c/x^2*(c*x^2+b*x+a)^(5/2)-3/32*B/a^4*b^2*c/x*(c*x^2+b*x+a)^(5/2)-3/128*B/a^4*b^4*c*(c*x^2+b*x+a)^(1/2)*x-1/128*B/a^5*b^4*c*(c*x^2+b*x+a)^(3/2)*x-7/768*A/a^5*b^4/x^2*(c*x^2+b*x+a)^(5/2)-7/1536*A/a^6*b^5/x*(c*x^2+b*x+a)^(5/2)-37/768*A/a^5*b^4*c*(c*x^2+b*x+a)^(3/2)-23/256*A/a^4*b^4*c*(c*x^2+b*x+a)^(1/2)+3/256*B/a^(7/2)*b^5*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+7/1536*A/a^6*b^6*(c*x^2+b*x+a)^(3/2)-3/32*B/a^(5/2)*b^3*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+1/8*B/a^2*b/x^4*(c*x^2+b*x+a)^(5/2)+7/512*A/a^5*b^6*(c*x^2+b*x+a)^(1/2)-1/48*A*c^3/a^3*(c*x^2+b*x+a)^(3/2)-1/16*A*c^3/a^2*(c*x^2+b*x+a)^(1/2)-1/5*B/a/x^5*(c*x^2+b*x+a)^(5/2)-1/128*B/a^5*b^5*(c*x^2+b*x+a)^(3/2)-7/1024*A/a^(9/2)*b^6*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+1/16*A*c^3/a^(3/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-3/128*B/a^4*b^5*(c*x^2+b*x+a)^(1/2)+1/24*A*c/a^2/x^4*(c*x^2+b*x+a)^(5/2)+1/48*A*c^2/a^3/x^2*(c*x^2+b*x+a)^(5/2)+15/256*A/a^(7/2)*b^4*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-9/64*A/a^(5/2)*b^2*c^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+1/128*B/a^5*b^4/x*(c*x^2+b*x+a)^(5/2)+5/64*B/a^4*b^3*c*(c*x^2+b*x+a)^(3/2)+9/64*B/a^3*b^3*c*(c*x^2+b*x+a)^(1/2)+7/60*A/a^2*b/x^5*(c*x^2+b*x+a)^(5/2)-7/96*A/a^3*b^2/x^4*(c*x^2+b*x+a)^(5/2)+1/16*A/a^4*b^2*c^2*(c*x^2+b*x+a)^(3/2)+5/32*A/a^3*b^2*c^2*(c*x^2+b*x+a)^(1/2)+7/192*A/a^4*b^3/x^3*(c*x^2+b*x+a)^(5/2)-1/16*B/a^3*b*c^2*(c*x^2+b*x+a)^(3/2)-3/16*B/a^2*b*c^2*(c*x^2+b*x+a)^(1/2)+3/16*B/a^(3/2)*b*c^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-1/16*B/a^3*b^2/x^3*(c*x^2+b*x+a)^(5/2)+1/64*B/a^4*b^3/x^2*(c*x^2+b*x+a)^(5/2)-1/6*A*(c*x^2+b*x+a)^(5/2)/a/x^6","B"
934,1,1575,273,0.085000," ","int((B*x+A)*(c*x^2+b*x+a)^(3/2)/x^8,x)","-\frac{3 A b \,c^{3} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{32 a^{\frac{5}{2}}}+\frac{15 A \,b^{3} c^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{128 a^{\frac{7}{2}}}-\frac{21 A \,b^{5} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{512 a^{\frac{9}{2}}}+\frac{9 A \,b^{7} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2048 a^{\frac{11}{2}}}+\frac{B \,c^{3} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{3}{2}}}-\frac{9 B \,b^{2} c^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{64 a^{\frac{5}{2}}}+\frac{15 B \,b^{4} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{256 a^{\frac{7}{2}}}-\frac{7 B \,b^{6} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{1024 a^{\frac{9}{2}}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,b^{2} c^{3} x}{64 a^{4}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,b^{4} c^{2} x}{64 a^{5}}-\frac{9 \sqrt{c \,x^{2}+b x +a}\, A \,b^{6} c x}{1024 a^{6}}+\frac{\sqrt{c \,x^{2}+b x +a}\, B b \,c^{3} x}{32 a^{3}}-\frac{\sqrt{c \,x^{2}+b x +a}\, B \,b^{3} c^{2} x}{16 a^{4}}+\frac{7 \sqrt{c \,x^{2}+b x +a}\, B \,b^{5} c x}{512 a^{5}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A b \,c^{3}}{32 a^{3}}-\frac{9 \sqrt{c \,x^{2}+b x +a}\, A \,b^{3} c^{2}}{64 a^{4}}+\frac{33 \sqrt{c \,x^{2}+b x +a}\, A \,b^{5} c}{512 a^{5}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2} c^{3} x}{64 a^{5}}-\frac{9 \sqrt{c \,x^{2}+b x +a}\, A \,b^{7}}{1024 a^{6}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{4} c^{2} x}{128 a^{6}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{6} c x}{1024 a^{7}}-\frac{\sqrt{c \,x^{2}+b x +a}\, B \,c^{3}}{16 a^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{2} c^{2}}{32 a^{3}}-\frac{23 \sqrt{c \,x^{2}+b x +a}\, B \,b^{4} c}{256 a^{4}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b \,c^{3} x}{32 a^{4}}+\frac{7 \sqrt{c \,x^{2}+b x +a}\, B \,b^{6}}{512 a^{5}}-\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{3} c^{2} x}{192 a^{5}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{5} c x}{1536 a^{6}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b \,c^{3}}{32 a^{4}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{3} c^{2}}{16 a^{5}}+\frac{17 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{5} c}{512 a^{6}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{7}}{1024 a^{7}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,c^{3}}{48 a^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{2} c^{2}}{16 a^{4}}-\frac{37 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{4} c}{768 a^{5}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{6}}{1536 a^{6}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{2} c^{2}}{64 a^{5} x}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{4} c}{128 a^{6} x}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{6}}{1024 a^{7} x}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B b \,c^{2}}{32 a^{4} x}+\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{3} c}{192 a^{5} x}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{5}}{1536 a^{6} x}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b \,c^{2}}{32 a^{4} x^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{3} c}{64 a^{5} x^{2}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{5}}{512 a^{6} x^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,c^{2}}{48 a^{3} x^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{2} c}{32 a^{4} x^{2}}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{4}}{768 a^{5} x^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{2} c}{32 a^{4} x^{3}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{4}}{128 a^{5} x^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B b c}{48 a^{3} x^{3}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{3}}{192 a^{4} x^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b c}{16 a^{3} x^{4}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{3}}{64 a^{4} x^{4}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B c}{24 a^{2} x^{4}}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{2}}{96 a^{3} x^{4}}+\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A c}{35 a^{2} x^{5}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{2}}{40 a^{3} x^{5}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B b}{60 a^{2} x^{5}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b}{28 a^{2} x^{6}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B}{6 a \,x^{6}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A}{7 a \,x^{7}}"," ",0,"-5/128*A/a^6*b^4*c/x*(c*x^2+b*x+a)^(5/2)-1/16*B/a^4*b^3*c^2*(c*x^2+b*x+a)^(1/2)*x+11/192*B/a^5*b^3*c/x*(c*x^2+b*x+a)^(5/2)+1/64*A/a^5*b^3*c/x^2*(c*x^2+b*x+a)^(5/2)-1/32*A/a^4*b*c^2/x^2*(c*x^2+b*x+a)^(5/2)-1/16*A/a^3*b*c/x^4*(c*x^2+b*x+a)^(5/2)-3/64*A/a^5*b^2*c^3*(c*x^2+b*x+a)^(3/2)*x+3/64*A/a^5*b^2*c^2/x*(c*x^2+b*x+a)^(5/2)-3/64*A/a^4*b^2*c^3*(c*x^2+b*x+a)^(1/2)*x-1/48*B*c/a^3*b/x^3*(c*x^2+b*x+a)^(5/2)+1/32*B*c^3/a^3*b*(c*x^2+b*x+a)^(1/2)*x-1/32*B*c^2/a^4*b/x*(c*x^2+b*x+a)^(5/2)+1/32*B*c^3/a^4*b*(c*x^2+b*x+a)^(3/2)*x-1/32*B/a^4*b^2*c/x^2*(c*x^2+b*x+a)^(5/2)-11/192*B/a^5*b^3*c^2*(c*x^2+b*x+a)^(3/2)*x+7/1536*B/a^6*b^5*c*(c*x^2+b*x+a)^(3/2)*x+7/512*B/a^5*b^5*c*(c*x^2+b*x+a)^(1/2)*x+1/32*A/a^4*b^2*c/x^3*(c*x^2+b*x+a)^(5/2)+5/128*A/a^6*b^4*c^2*(c*x^2+b*x+a)^(3/2)*x-3/1024*A/a^7*b^6*c*(c*x^2+b*x+a)^(3/2)*x-9/1024*A/a^6*b^6*c*(c*x^2+b*x+a)^(1/2)*x+3/64*A/a^5*b^4*c^2*(c*x^2+b*x+a)^(1/2)*x+1/16*B*c^3/a^(3/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+7/1536*B/a^6*b^6*(c*x^2+b*x+a)^(3/2)+7/512*B/a^5*b^6*(c*x^2+b*x+a)^(1/2)-1/48*B*c^3/a^3*(c*x^2+b*x+a)^(3/2)-1/16*B*c^3/a^2*(c*x^2+b*x+a)^(1/2)-1/6*B/a/x^6*(c*x^2+b*x+a)^(5/2)-7/1024*B/a^(9/2)*b^6*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-3/1024*A/a^7*b^7*(c*x^2+b*x+a)^(3/2)-9/1024*A/a^6*b^7*(c*x^2+b*x+a)^(1/2)+9/2048*A/a^(11/2)*b^7*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-7/96*B/a^3*b^2/x^4*(c*x^2+b*x+a)^(5/2)+7/192*B/a^4*b^3/x^3*(c*x^2+b*x+a)^(5/2)-7/768*B/a^5*b^4/x^2*(c*x^2+b*x+a)^(5/2)-9/64*B/a^(5/2)*b^2*c^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+15/256*B/a^(7/2)*b^4*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-7/1536*B/a^6*b^5/x*(c*x^2+b*x+a)^(5/2)-37/768*B/a^5*b^4*c*(c*x^2+b*x+a)^(3/2)-23/256*B/a^4*b^4*c*(c*x^2+b*x+a)^(1/2)+1/48*B*c^2/a^3/x^2*(c*x^2+b*x+a)^(5/2)+1/24*B*c/a^2/x^4*(c*x^2+b*x+a)^(5/2)+3/512*A/a^6*b^5/x^2*(c*x^2+b*x+a)^(5/2)+1/32*A/a^4*b*c^3*(c*x^2+b*x+a)^(3/2)+3/32*A/a^3*b*c^3*(c*x^2+b*x+a)^(1/2)+3/28*A/a^2*b/x^6*(c*x^2+b*x+a)^(5/2)+3/1024*A/a^7*b^6/x*(c*x^2+b*x+a)^(5/2)+17/512*A/a^6*b^5*c*(c*x^2+b*x+a)^(3/2)+33/512*A/a^5*b^5*c*(c*x^2+b*x+a)^(1/2)-3/32*A/a^(5/2)*b*c^3*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+15/128*A/a^(7/2)*b^3*c^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-21/512*A/a^(9/2)*b^5*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+7/60*B/a^2*b/x^5*(c*x^2+b*x+a)^(5/2)+1/16*B/a^4*b^2*c^2*(c*x^2+b*x+a)^(3/2)+5/32*B/a^3*b^2*c^2*(c*x^2+b*x+a)^(1/2)+2/35*A*c/a^2/x^5*(c*x^2+b*x+a)^(5/2)-3/40*A/a^3*b^2/x^5*(c*x^2+b*x+a)^(5/2)-1/16*A/a^5*b^3*c^2*(c*x^2+b*x+a)^(3/2)-9/64*A/a^4*b^3*c^2*(c*x^2+b*x+a)^(1/2)+3/64*A/a^4*b^3/x^4*(c*x^2+b*x+a)^(5/2)-3/128*A/a^5*b^4/x^3*(c*x^2+b*x+a)^(5/2)-1/7*A*(c*x^2+b*x+a)^(5/2)/a/x^7","B"
935,1,1848,505,0.067000," ","int(x^4*(B*x+A)*(c*x^2+b*x+a)^(5/2),x)","\frac{3 A \,a^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{5}{2}}}-\frac{75 A \,a^{4} b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{1024 c^{\frac{7}{2}}}+\frac{175 A \,a^{3} b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2048 c^{\frac{9}{2}}}-\frac{315 A \,a^{2} b^{6} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8192 c^{\frac{11}{2}}}+\frac{495 A a \,b^{8} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{65536 c^{\frac{13}{2}}}-\frac{143 A \,b^{10} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{262144 c^{\frac{15}{2}}}-\frac{15 B \,a^{5} b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{512 c^{\frac{7}{2}}}+\frac{175 B \,a^{4} b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2048 c^{\frac{9}{2}}}-\frac{315 B \,a^{3} b^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4096 c^{\frac{11}{2}}}+\frac{495 B \,a^{2} b^{7} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16384 c^{\frac{13}{2}}}-\frac{715 B a \,b^{9} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{131072 c^{\frac{15}{2}}}+\frac{195 B \,b^{11} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{524288 c^{\frac{17}{2}}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,a^{4} x}{256 c^{2}}-\frac{9 \sqrt{c \,x^{2}+b x +a}\, A \,a^{3} b^{2} x}{128 c^{3}}+\frac{139 \sqrt{c \,x^{2}+b x +a}\, A \,a^{2} b^{4} x}{2048 c^{4}}-\frac{11 \sqrt{c \,x^{2}+b x +a}\, A a \,b^{6} x}{512 c^{5}}+\frac{143 \sqrt{c \,x^{2}+b x +a}\, A \,b^{8} x}{65536 c^{6}}-\frac{15 \sqrt{c \,x^{2}+b x +a}\, B \,a^{4} b x}{512 c^{3}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,a^{3} b^{3} x}{64 c^{4}}-\frac{235 \sqrt{c \,x^{2}+b x +a}\, B \,a^{2} b^{5} x}{4096 c^{5}}+\frac{65 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{7} x}{4096 c^{6}}-\frac{195 \sqrt{c \,x^{2}+b x +a}\, B \,b^{9} x}{131072 c^{7}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,x^{4}}{11 c}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,a^{4} b}{512 c^{3}}-\frac{9 \sqrt{c \,x^{2}+b x +a}\, A \,a^{3} b^{3}}{256 c^{4}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,a^{3} x}{128 c^{2}}+\frac{139 \sqrt{c \,x^{2}+b x +a}\, A \,a^{2} b^{5}}{4096 c^{5}}-\frac{23 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,a^{2} b^{2} x}{512 c^{3}}-\frac{11 \sqrt{c \,x^{2}+b x +a}\, A a \,b^{7}}{1024 c^{6}}+\frac{209 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A a \,b^{4} x}{6144 c^{4}}+\frac{143 \sqrt{c \,x^{2}+b x +a}\, A \,b^{9}}{131072 c^{7}}-\frac{143 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{6} x}{24576 c^{5}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,x^{3}}{10 c}-\frac{15 \sqrt{c \,x^{2}+b x +a}\, B \,a^{4} b^{2}}{1024 c^{4}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,a^{3} b^{4}}{128 c^{5}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,a^{3} b x}{256 c^{3}}-\frac{235 \sqrt{c \,x^{2}+b x +a}\, B \,a^{2} b^{6}}{8192 c^{6}}+\frac{145 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,a^{2} b^{3} x}{3072 c^{4}}+\frac{65 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{8}}{8192 c^{7}}-\frac{325 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a \,b^{5} x}{12288 c^{5}}-\frac{195 \sqrt{c \,x^{2}+b x +a}\, B \,b^{10}}{262144 c^{8}}+\frac{65 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{7} x}{16384 c^{6}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B b \,x^{3}}{44 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,a^{3} b}{256 c^{3}}-\frac{23 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,a^{2} b^{3}}{1024 c^{4}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,a^{2} x}{160 c^{2}}+\frac{209 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A a \,b^{5}}{12288 c^{5}}-\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A a \,b^{2} x}{320 c^{3}}-\frac{143 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{7}}{49152 c^{6}}+\frac{143 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{4} x}{7680 c^{4}}-\frac{13 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A b \,x^{2}}{180 c^{2}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,a^{3} b^{2}}{512 c^{4}}+\frac{145 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,a^{2} b^{4}}{6144 c^{5}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,a^{2} b x}{64 c^{3}}-\frac{325 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a \,b^{6}}{24576 c^{6}}+\frac{13 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B a \,b^{3} x}{384 c^{4}}-\frac{4 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B a \,x^{2}}{99 c^{2}}+\frac{65 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{8}}{32768 c^{7}}-\frac{13 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{5} x}{1024 c^{5}}+\frac{13 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{2} x^{2}}{264 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,a^{2} b}{320 c^{3}}-\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A a \,b^{3}}{640 c^{4}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A a x}{80 c^{2}}+\frac{143 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{5}}{15360 c^{5}}+\frac{143 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{2} x}{2880 c^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,a^{2} b^{2}}{128 c^{4}}+\frac{13 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B a \,b^{4}}{768 c^{5}}+\frac{169 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B a b x}{3168 c^{3}}-\frac{13 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{6}}{2048 c^{6}}-\frac{13 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{3} x}{384 c^{4}}+\frac{451 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A a b}{10080 c^{3}}-\frac{143 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{3}}{4480 c^{4}}+\frac{8 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,a^{2}}{693 c^{3}}-\frac{65 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B a \,b^{2}}{1344 c^{4}}+\frac{39 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{4}}{1792 c^{5}}"," ",0,"-15/512*B*b/c^3*a^4*(c*x^2+b*x+a)^(1/2)*x+13/384*B*b^3/c^4*a*(c*x^2+b*x+a)^(5/2)*x-5/256*B*b/c^3*a^3*(c*x^2+b*x+a)^(3/2)*x+65/4096*B*b^7/c^6*(c*x^2+b*x+a)^(1/2)*x*a+145/3072*B*b^3/c^4*a^2*(c*x^2+b*x+a)^(3/2)*x+5/64*B*b^3/c^4*a^3*(c*x^2+b*x+a)^(1/2)*x-1/64*B*b/c^3*a^2*(c*x^2+b*x+a)^(5/2)*x-143/262144*A*b^10/c^(15/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/10*A*x^3*(c*x^2+b*x+a)^(7/2)/c+3/256*A*a^5/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+143/131072*A*b^9/c^7*(c*x^2+b*x+a)^(1/2)-325/12288*B*b^5/c^5*(c*x^2+b*x+a)^(3/2)*x*a-9/128*A*b^2/c^3*a^3*(c*x^2+b*x+a)^(1/2)*x+209/6144*A*b^4/c^4*(c*x^2+b*x+a)^(3/2)*x*a+139/2048*A*b^4/c^4*(c*x^2+b*x+a)^(1/2)*x*a^2-11/320*A*b^2/c^3*a*(c*x^2+b*x+a)^(5/2)*x-23/512*A*b^2/c^3*a^2*(c*x^2+b*x+a)^(3/2)*x-11/512*A*b^6/c^5*(c*x^2+b*x+a)^(1/2)*x*a+3/512*A*a^4/c^3*(c*x^2+b*x+a)^(1/2)*b+1/160*A*a^2/c^2*(c*x^2+b*x+a)^(5/2)*x-5/512*B*b^2/c^4*a^3*(c*x^2+b*x+a)^(3/2)+175/2048*B*b^3/c^(9/2)*a^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-235/4096*B*b^5/c^5*(c*x^2+b*x+a)^(1/2)*x*a^2+169/3168*B*b/c^3*a*x*(c*x^2+b*x+a)^(7/2)+143/15360*A*b^5/c^5*(c*x^2+b*x+a)^(5/2)-143/49152*A*b^7/c^6*(c*x^2+b*x+a)^(3/2)-143/4480*A*b^3/c^4*(c*x^2+b*x+a)^(7/2)-195/262144*B*b^10/c^8*(c*x^2+b*x+a)^(1/2)-13/2048*B*b^6/c^6*(c*x^2+b*x+a)^(5/2)+65/32768*B*b^8/c^7*(c*x^2+b*x+a)^(3/2)+39/1792*B*b^4/c^5*(c*x^2+b*x+a)^(7/2)+8/693*B*a^2/c^3*(c*x^2+b*x+a)^(7/2)+195/524288*B*b^11/c^(17/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+143/65536*A*b^8/c^6*(c*x^2+b*x+a)^(1/2)*x+451/10080*A*b/c^3*a*(c*x^2+b*x+a)^(7/2)-13/180*A*b/c^2*x^2*(c*x^2+b*x+a)^(7/2)-9/256*A*b^3/c^4*a^3*(c*x^2+b*x+a)^(1/2)-11/640*A*b^3/c^4*a*(c*x^2+b*x+a)^(5/2)-23/1024*A*b^3/c^4*a^2*(c*x^2+b*x+a)^(3/2)+139/4096*A*b^5/c^5*(c*x^2+b*x+a)^(1/2)*a^2-11/1024*A*b^7/c^6*(c*x^2+b*x+a)^(1/2)*a+143/2880*A*b^2/c^3*x*(c*x^2+b*x+a)^(7/2)+143/7680*A*b^4/c^4*(c*x^2+b*x+a)^(5/2)*x-143/24576*A*b^6/c^5*(c*x^2+b*x+a)^(3/2)*x+209/12288*A*b^5/c^5*(c*x^2+b*x+a)^(3/2)*a+3/256*A*a^4/c^2*(c*x^2+b*x+a)^(1/2)*x-325/24576*B*b^6/c^6*(c*x^2+b*x+a)^(3/2)*a-15/1024*B*b^2/c^4*a^4*(c*x^2+b*x+a)^(1/2)-1/128*B*b^2/c^4*a^2*(c*x^2+b*x+a)^(5/2)+5/128*B*b^4/c^5*a^3*(c*x^2+b*x+a)^(1/2)+13/768*B*b^4/c^5*a*(c*x^2+b*x+a)^(5/2)+145/6144*B*b^4/c^5*a^2*(c*x^2+b*x+a)^(3/2)-235/8192*B*b^6/c^6*(c*x^2+b*x+a)^(1/2)*a^2+65/8192*B*b^8/c^7*(c*x^2+b*x+a)^(1/2)*a-13/384*B*b^3/c^4*x*(c*x^2+b*x+a)^(7/2)-13/1024*B*b^5/c^5*(c*x^2+b*x+a)^(5/2)*x+65/16384*B*b^7/c^6*(c*x^2+b*x+a)^(3/2)*x-315/4096*B*b^5/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^3+495/16384*B*b^7/c^(13/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2-15/512*B*b/c^(7/2)*a^5*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-715/131072*B*b^9/c^(15/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-4/99*B*a/c^2*x^2*(c*x^2+b*x+a)^(7/2)-3/44*B*b/c^2*x^3*(c*x^2+b*x+a)^(7/2)-195/131072*B*b^9/c^7*(c*x^2+b*x+a)^(1/2)*x-65/1344*B*b^2/c^4*a*(c*x^2+b*x+a)^(7/2)+13/264*B*b^2/c^3*x^2*(c*x^2+b*x+a)^(7/2)+1/320*A*a^2/c^3*(c*x^2+b*x+a)^(5/2)*b+1/128*A*a^3/c^2*(c*x^2+b*x+a)^(3/2)*x+1/256*A*a^3/c^3*(c*x^2+b*x+a)^(3/2)*b+495/65536*A*b^8/c^(13/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-75/1024*A*b^2/c^(7/2)*a^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+175/2048*A*b^4/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^3-315/8192*A*b^6/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2-3/80*A*a/c^2*x*(c*x^2+b*x+a)^(7/2)+1/11*B*x^4*(c*x^2+b*x+a)^(7/2)/c","B"
936,1,1549,398,0.067000," ","int(x^3*(B*x+A)*(c*x^2+b*x+a)^(5/2),x)","\frac{15 A \,a^{4} b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{5}{2}}}-\frac{25 A \,a^{3} b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{7}{2}}}+\frac{105 A \,a^{2} b^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2048 c^{\frac{9}{2}}}-\frac{45 A a \,b^{7} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4096 c^{\frac{11}{2}}}+\frac{55 A \,b^{9} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{65536 c^{\frac{13}{2}}}+\frac{3 B \,a^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{5}{2}}}-\frac{75 B \,a^{4} b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{1024 c^{\frac{7}{2}}}+\frac{175 B \,a^{3} b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2048 c^{\frac{9}{2}}}-\frac{315 B \,a^{2} b^{6} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8192 c^{\frac{11}{2}}}+\frac{495 B a \,b^{8} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{65536 c^{\frac{13}{2}}}-\frac{143 B \,b^{10} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{262144 c^{\frac{15}{2}}}+\frac{15 \sqrt{c \,x^{2}+b x +a}\, A \,a^{3} b x}{256 c^{2}}-\frac{85 \sqrt{c \,x^{2}+b x +a}\, A \,a^{2} b^{3} x}{1024 c^{3}}+\frac{125 \sqrt{c \,x^{2}+b x +a}\, A a \,b^{5} x}{4096 c^{4}}-\frac{55 \sqrt{c \,x^{2}+b x +a}\, A \,b^{7} x}{16384 c^{5}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B \,a^{4} x}{256 c^{2}}-\frac{9 \sqrt{c \,x^{2}+b x +a}\, B \,a^{3} b^{2} x}{128 c^{3}}+\frac{139 \sqrt{c \,x^{2}+b x +a}\, B \,a^{2} b^{4} x}{2048 c^{4}}-\frac{11 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{6} x}{512 c^{5}}+\frac{143 \sqrt{c \,x^{2}+b x +a}\, B \,b^{8} x}{65536 c^{6}}+\frac{15 \sqrt{c \,x^{2}+b x +a}\, A \,a^{3} b^{2}}{512 c^{3}}-\frac{85 \sqrt{c \,x^{2}+b x +a}\, A \,a^{2} b^{4}}{2048 c^{4}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,a^{2} b x}{128 c^{2}}+\frac{125 \sqrt{c \,x^{2}+b x +a}\, A a \,b^{6}}{8192 c^{5}}-\frac{35 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A a \,b^{3} x}{768 c^{3}}-\frac{55 \sqrt{c \,x^{2}+b x +a}\, A \,b^{8}}{32768 c^{6}}+\frac{55 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{5} x}{6144 c^{4}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B \,a^{4} b}{512 c^{3}}-\frac{9 \sqrt{c \,x^{2}+b x +a}\, B \,a^{3} b^{3}}{256 c^{4}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,a^{3} x}{128 c^{2}}+\frac{139 \sqrt{c \,x^{2}+b x +a}\, B \,a^{2} b^{5}}{4096 c^{5}}-\frac{23 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,a^{2} b^{2} x}{512 c^{3}}-\frac{11 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{7}}{1024 c^{6}}+\frac{209 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a \,b^{4} x}{6144 c^{4}}+\frac{143 \sqrt{c \,x^{2}+b x +a}\, B \,b^{9}}{131072 c^{7}}-\frac{143 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{6} x}{24576 c^{5}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,x^{3}}{10 c}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,a^{2} b^{2}}{256 c^{3}}-\frac{35 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A a \,b^{4}}{1536 c^{4}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A a b x}{32 c^{2}}+\frac{55 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{6}}{12288 c^{5}}-\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{3} x}{384 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,x^{2}}{9 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,a^{3} b}{256 c^{3}}-\frac{23 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,a^{2} b^{3}}{1024 c^{4}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,a^{2} x}{160 c^{2}}+\frac{209 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a \,b^{5}}{12288 c^{5}}-\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B a \,b^{2} x}{320 c^{3}}-\frac{143 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{7}}{49152 c^{6}}+\frac{143 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{4} x}{7680 c^{4}}-\frac{13 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B b \,x^{2}}{180 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A a \,b^{2}}{64 c^{3}}-\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{4}}{768 c^{4}}-\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A b x}{144 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,a^{2} b}{320 c^{3}}-\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B a \,b^{3}}{640 c^{4}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B a x}{80 c^{2}}+\frac{143 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{5}}{15360 c^{5}}+\frac{143 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{2} x}{2880 c^{3}}-\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A a}{63 c^{2}}+\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{2}}{224 c^{3}}+\frac{451 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B a b}{10080 c^{3}}-\frac{143 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{3}}{4480 c^{4}}"," ",0,"125/4096*A*b^5/c^4*(c*x^2+b*x+a)^(1/2)*x*a-35/768*A*b^3/c^3*(c*x^2+b*x+a)^(3/2)*x*a+15/256*A*b/c^2*a^3*(c*x^2+b*x+a)^(1/2)*x+5/128*A*b/c^2*a^2*(c*x^2+b*x+a)^(3/2)*x-85/1024*A*b^3/c^3*(c*x^2+b*x+a)^(1/2)*x*a^2-11/320*B*b^2/c^3*a*(c*x^2+b*x+a)^(5/2)*x-23/512*B*b^2/c^3*a^2*(c*x^2+b*x+a)^(3/2)*x-9/128*B*b^2/c^3*a^3*(c*x^2+b*x+a)^(1/2)*x+209/6144*B*b^4/c^4*(c*x^2+b*x+a)^(3/2)*x*a-11/512*B*b^6/c^5*(c*x^2+b*x+a)^(1/2)*x*a+139/2048*B*b^4/c^4*(c*x^2+b*x+a)^(1/2)*x*a^2+1/32*A*b/c^2*a*(c*x^2+b*x+a)^(5/2)*x+139/4096*B*b^5/c^5*(c*x^2+b*x+a)^(1/2)*a^2-11/1024*B*b^7/c^6*(c*x^2+b*x+a)^(1/2)*a-45/4096*A*b^7/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a+15/256*A*b/c^(5/2)*a^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-25/256*A*b^3/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^3-55/16384*A*b^7/c^5*(c*x^2+b*x+a)^(1/2)*x-85/2048*A*b^4/c^4*(c*x^2+b*x+a)^(1/2)*a^2+125/8192*A*b^6/c^5*(c*x^2+b*x+a)^(1/2)*a+55/6144*A*b^5/c^4*(c*x^2+b*x+a)^(3/2)*x-35/1536*A*b^4/c^4*(c*x^2+b*x+a)^(3/2)*a-11/384*A*b^3/c^3*(c*x^2+b*x+a)^(5/2)*x+1/64*A*b^2/c^3*a*(c*x^2+b*x+a)^(5/2)+5/256*A*b^2/c^3*a^2*(c*x^2+b*x+a)^(3/2)+15/512*A*b^2/c^3*a^3*(c*x^2+b*x+a)^(1/2)+105/2048*A*b^5/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2-11/144*A*b/c^2*x*(c*x^2+b*x+a)^(7/2)+143/7680*B*b^4/c^4*(c*x^2+b*x+a)^(5/2)*x-11/640*B*b^3/c^4*a*(c*x^2+b*x+a)^(5/2)-23/1024*B*b^3/c^4*a^2*(c*x^2+b*x+a)^(3/2)-9/256*B*b^3/c^4*a^3*(c*x^2+b*x+a)^(1/2)+143/2880*B*b^2/c^3*x*(c*x^2+b*x+a)^(7/2)+1/128*B*a^3/c^2*(c*x^2+b*x+a)^(3/2)*x+1/256*B*a^3/c^3*(c*x^2+b*x+a)^(3/2)*b+3/256*B*a^4/c^2*(c*x^2+b*x+a)^(1/2)*x+3/512*B*a^4/c^3*(c*x^2+b*x+a)^(1/2)*b-143/24576*B*b^6/c^5*(c*x^2+b*x+a)^(3/2)*x+209/12288*B*b^5/c^5*(c*x^2+b*x+a)^(3/2)*a+143/65536*B*b^8/c^6*(c*x^2+b*x+a)^(1/2)*x+451/10080*B*b/c^3*a*(c*x^2+b*x+a)^(7/2)+3/256*B*a^5/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-143/262144*B*b^10/c^(15/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+143/15360*B*b^5/c^5*(c*x^2+b*x+a)^(5/2)-143/49152*B*b^7/c^6*(c*x^2+b*x+a)^(3/2)+143/131072*B*b^9/c^7*(c*x^2+b*x+a)^(1/2)-143/4480*B*b^3/c^4*(c*x^2+b*x+a)^(7/2)-2/63*A*a/c^2*(c*x^2+b*x+a)^(7/2)-11/768*A*b^4/c^4*(c*x^2+b*x+a)^(5/2)+55/12288*A*b^6/c^5*(c*x^2+b*x+a)^(3/2)-55/32768*A*b^8/c^6*(c*x^2+b*x+a)^(1/2)+11/224*A*b^2/c^3*(c*x^2+b*x+a)^(7/2)+1/9*A*x^2*(c*x^2+b*x+a)^(7/2)/c+55/65536*A*b^9/c^(13/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-13/180*B*b/c^2*x^2*(c*x^2+b*x+a)^(7/2)+1/320*B*a^2/c^3*(c*x^2+b*x+a)^(5/2)*b-75/1024*B*b^2/c^(7/2)*a^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+175/2048*B*b^4/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^3-315/8192*B*b^6/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2+1/160*B*a^2/c^2*(c*x^2+b*x+a)^(5/2)*x-3/80*B*a/c^2*x*(c*x^2+b*x+a)^(7/2)+495/65536*B*b^8/c^(13/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a+1/10*B*x^3*(c*x^2+b*x+a)^(7/2)/c","B"
937,1,1277,303,0.059000," ","int(x^2*(B*x+A)*(c*x^2+b*x+a)^(5/2),x)","-\frac{5 A \,a^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{3}{2}}}+\frac{15 A \,a^{3} b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{5}{2}}}-\frac{75 A \,a^{2} b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{1024 c^{\frac{7}{2}}}+\frac{35 A a \,b^{6} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2048 c^{\frac{9}{2}}}-\frac{45 A \,b^{8} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32768 c^{\frac{11}{2}}}+\frac{15 B \,a^{4} b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{5}{2}}}-\frac{25 B \,a^{3} b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{7}{2}}}+\frac{105 B \,a^{2} b^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2048 c^{\frac{9}{2}}}-\frac{45 B a \,b^{7} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4096 c^{\frac{11}{2}}}+\frac{55 B \,b^{9} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{65536 c^{\frac{13}{2}}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,a^{3} x}{128 c}+\frac{55 \sqrt{c \,x^{2}+b x +a}\, A \,a^{2} b^{2} x}{512 c^{2}}-\frac{95 \sqrt{c \,x^{2}+b x +a}\, A a \,b^{4} x}{2048 c^{3}}+\frac{45 \sqrt{c \,x^{2}+b x +a}\, A \,b^{6} x}{8192 c^{4}}+\frac{15 \sqrt{c \,x^{2}+b x +a}\, B \,a^{3} b x}{256 c^{2}}-\frac{85 \sqrt{c \,x^{2}+b x +a}\, B \,a^{2} b^{3} x}{1024 c^{3}}+\frac{125 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{5} x}{4096 c^{4}}-\frac{55 \sqrt{c \,x^{2}+b x +a}\, B \,b^{7} x}{16384 c^{5}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,a^{3} b}{256 c^{2}}+\frac{55 \sqrt{c \,x^{2}+b x +a}\, A \,a^{2} b^{3}}{1024 c^{3}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,a^{2} x}{192 c}-\frac{95 \sqrt{c \,x^{2}+b x +a}\, A a \,b^{5}}{4096 c^{4}}+\frac{25 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A a \,b^{2} x}{384 c^{2}}+\frac{45 \sqrt{c \,x^{2}+b x +a}\, A \,b^{7}}{16384 c^{5}}-\frac{15 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{4} x}{1024 c^{3}}+\frac{15 \sqrt{c \,x^{2}+b x +a}\, B \,a^{3} b^{2}}{512 c^{3}}-\frac{85 \sqrt{c \,x^{2}+b x +a}\, B \,a^{2} b^{4}}{2048 c^{4}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,a^{2} b x}{128 c^{2}}+\frac{125 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{6}}{8192 c^{5}}-\frac{35 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a \,b^{3} x}{768 c^{3}}-\frac{55 \sqrt{c \,x^{2}+b x +a}\, B \,b^{8}}{32768 c^{6}}+\frac{55 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{5} x}{6144 c^{4}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,a^{2} b}{384 c^{2}}+\frac{25 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A a \,b^{3}}{768 c^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A a x}{48 c}-\frac{15 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{5}}{2048 c^{4}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{2} x}{64 c^{2}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,a^{2} b^{2}}{256 c^{3}}-\frac{35 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a \,b^{4}}{1536 c^{4}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B a b x}{32 c^{2}}+\frac{55 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{6}}{12288 c^{5}}-\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{3} x}{384 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,x^{2}}{9 c}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A a b}{96 c^{2}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{3}}{128 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A x}{8 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B a \,b^{2}}{64 c^{3}}-\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{4}}{768 c^{4}}-\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B b x}{144 c^{2}}-\frac{9 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A b}{112 c^{2}}-\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B a}{63 c^{2}}+\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{2}}{224 c^{3}}"," ",0,"125/4096*B*b^5/c^4*(c*x^2+b*x+a)^(1/2)*x*a-35/768*B*b^3/c^3*(c*x^2+b*x+a)^(3/2)*x*a-85/1024*B*b^3/c^3*(c*x^2+b*x+a)^(1/2)*x*a^2+25/384*A*b^2/c^2*(c*x^2+b*x+a)^(3/2)*x*a-95/2048*A*b^4/c^3*(c*x^2+b*x+a)^(1/2)*x*a+55/512*A*b^2/c^2*(c*x^2+b*x+a)^(1/2)*x*a^2+1/32*B*b/c^2*a*(c*x^2+b*x+a)^(5/2)*x+15/256*B*b/c^2*a^3*(c*x^2+b*x+a)^(1/2)*x-5/256*A*a^3/c^2*(c*x^2+b*x+a)^(1/2)*b-5/128*A*a^3/c*(c*x^2+b*x+a)^(1/2)*x-1/48*A*a/c*(c*x^2+b*x+a)^(5/2)*x+1/64*B*b^2/c^3*a*(c*x^2+b*x+a)^(5/2)+15/512*B*b^2/c^3*a^3*(c*x^2+b*x+a)^(1/2)-15/2048*A*b^5/c^4*(c*x^2+b*x+a)^(3/2)-5/128*A*a^4/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/8*A*x*(c*x^2+b*x+a)^(7/2)/c-45/32768*A*b^8/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+45/16384*A*b^7/c^5*(c*x^2+b*x+a)^(1/2)-9/112*A*b/c^2*(c*x^2+b*x+a)^(7/2)+3/128*A*b^3/c^3*(c*x^2+b*x+a)^(5/2)-2/63*B*a/c^2*(c*x^2+b*x+a)^(7/2)+55/65536*B*b^9/c^(13/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+55/12288*B*b^6/c^5*(c*x^2+b*x+a)^(3/2)-55/32768*B*b^8/c^6*(c*x^2+b*x+a)^(1/2)+11/224*B*b^2/c^3*(c*x^2+b*x+a)^(7/2)-11/768*B*b^4/c^4*(c*x^2+b*x+a)^(5/2)+5/128*B*b/c^2*a^2*(c*x^2+b*x+a)^(3/2)*x-25/256*B*b^3/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^3+25/768*A*b^3/c^3*(c*x^2+b*x+a)^(3/2)*a+45/8192*A*b^6/c^4*(c*x^2+b*x+a)^(1/2)*x+55/1024*A*b^3/c^3*(c*x^2+b*x+a)^(1/2)*a^2-95/4096*A*b^5/c^4*(c*x^2+b*x+a)^(1/2)*a+15/128*A*b^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^3-5/384*A*a^2/c^2*(c*x^2+b*x+a)^(3/2)*b+15/256*B*b/c^(5/2)*a^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+105/2048*B*b^5/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2-35/1536*B*b^4/c^4*(c*x^2+b*x+a)^(3/2)*a-11/384*B*b^3/c^3*(c*x^2+b*x+a)^(5/2)*x+55/6144*B*b^5/c^4*(c*x^2+b*x+a)^(3/2)*x-11/144*B*b/c^2*x*(c*x^2+b*x+a)^(7/2)-55/16384*B*b^7/c^5*(c*x^2+b*x+a)^(1/2)*x+125/8192*B*b^6/c^5*(c*x^2+b*x+a)^(1/2)*a+35/2048*A*b^6/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-75/1024*A*b^4/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2+3/64*A*b^2/c^2*(c*x^2+b*x+a)^(5/2)*x-15/1024*A*b^4/c^3*(c*x^2+b*x+a)^(3/2)*x+5/256*B*b^2/c^3*a^2*(c*x^2+b*x+a)^(3/2)-1/96*A*a/c^2*(c*x^2+b*x+a)^(5/2)*b-5/192*A*a^2/c*(c*x^2+b*x+a)^(3/2)*x-45/4096*B*b^7/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-85/2048*B*b^4/c^4*(c*x^2+b*x+a)^(1/2)*a^2+1/9*B*x^2*(c*x^2+b*x+a)^(7/2)/c","B"
938,1,1034,226,0.056000," ","int(x*(B*x+A)*(c*x^2+b*x+a)^(5/2),x)","-\frac{5 A \,a^{3} b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{3}{2}}}+\frac{15 A \,a^{2} b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{5}{2}}}-\frac{15 A a \,b^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{512 c^{\frac{7}{2}}}+\frac{5 A \,b^{7} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2048 c^{\frac{9}{2}}}-\frac{5 B \,a^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{3}{2}}}+\frac{15 B \,a^{3} b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{5}{2}}}-\frac{75 B \,a^{2} b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{1024 c^{\frac{7}{2}}}+\frac{35 B a \,b^{6} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2048 c^{\frac{9}{2}}}-\frac{45 B \,b^{8} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32768 c^{\frac{11}{2}}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,a^{2} b x}{32 c}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A a \,b^{3} x}{64 c^{2}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{5} x}{512 c^{3}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,a^{3} x}{128 c}+\frac{55 \sqrt{c \,x^{2}+b x +a}\, B \,a^{2} b^{2} x}{512 c^{2}}-\frac{95 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{4} x}{2048 c^{3}}+\frac{45 \sqrt{c \,x^{2}+b x +a}\, B \,b^{6} x}{8192 c^{4}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,a^{2} b^{2}}{64 c^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A a \,b^{4}}{128 c^{3}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A a b x}{48 c}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{6}}{1024 c^{4}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{3} x}{192 c^{2}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,a^{3} b}{256 c^{2}}+\frac{55 \sqrt{c \,x^{2}+b x +a}\, B \,a^{2} b^{3}}{1024 c^{3}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,a^{2} x}{192 c}-\frac{95 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{5}}{4096 c^{4}}+\frac{25 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a \,b^{2} x}{384 c^{2}}+\frac{45 \sqrt{c \,x^{2}+b x +a}\, B \,b^{7}}{16384 c^{5}}-\frac{15 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{4} x}{1024 c^{3}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A a \,b^{2}}{96 c^{2}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{4}}{384 c^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b x}{12 c}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,a^{2} b}{384 c^{2}}+\frac{25 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a \,b^{3}}{768 c^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B a x}{48 c}-\frac{15 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{5}}{2048 c^{4}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{2} x}{64 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{2}}{24 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B a b}{96 c^{2}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{3}}{128 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B x}{8 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A}{7 c}-\frac{9 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B b}{112 c^{2}}"," ",0,"-95/2048*B*b^4/c^3*(c*x^2+b*x+a)^(1/2)*x*a-5/32*A*b/c*(c*x^2+b*x+a)^(1/2)*x*a^2+5/64*A*b^3/c^2*(c*x^2+b*x+a)^(1/2)*x*a-5/48*A*b/c*(c*x^2+b*x+a)^(3/2)*x*a+25/384*B*b^2/c^2*(c*x^2+b*x+a)^(3/2)*x*a+55/512*B*b^2/c^2*(c*x^2+b*x+a)^(1/2)*x*a^2+15/128*B*b^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^3-5/256*B*a^3/c^2*(c*x^2+b*x+a)^(1/2)*b+55/1024*B*b^3/c^3*(c*x^2+b*x+a)^(1/2)*a^2-15/1024*B*b^4/c^3*(c*x^2+b*x+a)^(3/2)*x-1/48*B*a/c*x*(c*x^2+b*x+a)^(5/2)+5/192*A*b^3/c^2*(c*x^2+b*x+a)^(3/2)*x-5/128*B*a^3/c*(c*x^2+b*x+a)^(1/2)*x+3/128*B*b^3/c^3*(c*x^2+b*x+a)^(5/2)-9/112*B*b/c^2*(c*x^2+b*x+a)^(7/2)+25/768*B*b^3/c^3*(c*x^2+b*x+a)^(3/2)*a-5/192*B*a^2/c*(c*x^2+b*x+a)^(3/2)*x+45/8192*B*b^6/c^4*(c*x^2+b*x+a)^(1/2)*x+3/64*B*b^2/c^2*x*(c*x^2+b*x+a)^(5/2)-45/32768*B*b^8/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-5/128*B*a^4/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/8*B*x*(c*x^2+b*x+a)^(7/2)/c-1/12*A*b/c*x*(c*x^2+b*x+a)^(5/2)+45/16384*B*b^7/c^5*(c*x^2+b*x+a)^(1/2)+1/7*A*(c*x^2+b*x+a)^(7/2)/c-5/96*A*b^2/c^2*(c*x^2+b*x+a)^(3/2)*a-75/1024*B*b^4/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2-15/512*A*b^5/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a+35/2048*B*b^6/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a+15/128*A*b^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2-5/384*B*a^2/c^2*(c*x^2+b*x+a)^(3/2)*b-1/96*B*a/c^2*(c*x^2+b*x+a)^(5/2)*b-95/4096*B*b^5/c^4*(c*x^2+b*x+a)^(1/2)*a-5/512*A*b^5/c^3*(c*x^2+b*x+a)^(1/2)*x-5/64*A*b^2/c^2*(c*x^2+b*x+a)^(1/2)*a^2+5/128*A*b^4/c^3*(c*x^2+b*x+a)^(1/2)*a-5/32*A*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^3-1/24*A*b^2/c^2*(c*x^2+b*x+a)^(5/2)+5/384*A*b^4/c^3*(c*x^2+b*x+a)^(3/2)-5/1024*A*b^6/c^4*(c*x^2+b*x+a)^(1/2)+5/2048*A*b^7/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-15/2048*B*b^5/c^4*(c*x^2+b*x+a)^(3/2)","B"
939,1,807,177,0.051000," ","int((B*x+A)*(c*x^2+b*x+a)^(5/2),x)","\frac{5 A \,a^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 \sqrt{c}}-\frac{15 A \,a^{2} b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{3}{2}}}+\frac{15 A a \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{5}{2}}}-\frac{5 A \,b^{6} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{1024 c^{\frac{7}{2}}}-\frac{5 B \,a^{3} b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{3}{2}}}+\frac{15 B \,a^{2} b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{5}{2}}}-\frac{15 B a \,b^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{512 c^{\frac{7}{2}}}+\frac{5 B \,b^{7} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2048 c^{\frac{9}{2}}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,a^{2} x}{16}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, A a \,b^{2} x}{32 c}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{4} x}{256 c^{2}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,a^{2} b x}{32 c}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{3} x}{64 c^{2}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{5} x}{512 c^{3}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,a^{2} b}{32 c}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, A a \,b^{3}}{64 c^{2}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A a x}{24}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{5}}{512 c^{3}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2} x}{96 c}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,a^{2} b^{2}}{64 c^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{4}}{128 c^{3}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a b x}{48 c}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{6}}{1024 c^{4}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{3} x}{192 c^{2}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A a b}{48 c}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{3}}{192 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A x}{6}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a \,b^{2}}{96 c^{2}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{4}}{384 c^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B b x}{12 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b}{12 c}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{2}}{24 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B}{7 c}"," ",0,"-1/24*B*b^2/c^2*(c*x^2+b*x+a)^(5/2)+5/384*B*b^4/c^3*(c*x^2+b*x+a)^(3/2)-5/192*A/c^2*(c*x^2+b*x+a)^(3/2)*b^3+1/12*A/c*(c*x^2+b*x+a)^(5/2)*b-5/1024*B*b^6/c^4*(c*x^2+b*x+a)^(1/2)+5/2048*B*b^7/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+5/16*A/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^3+5/16*A*(c*x^2+b*x+a)^(1/2)*x*a^2+5/24*A*(c*x^2+b*x+a)^(3/2)*x*a-5/1024*A/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^6+5/512*A/c^3*(c*x^2+b*x+a)^(1/2)*b^5+1/6*A*x*(c*x^2+b*x+a)^(5/2)-5/48*B*b/c*(c*x^2+b*x+a)^(3/2)*x*a+5/64*B*b^3/c^2*(c*x^2+b*x+a)^(1/2)*x*a-5/32*B*b/c*(c*x^2+b*x+a)^(1/2)*x*a^2-5/32*A/c*(c*x^2+b*x+a)^(1/2)*x*a*b^2+5/48*A/c*(c*x^2+b*x+a)^(3/2)*b*a-5/64*B*b^2/c^2*(c*x^2+b*x+a)^(1/2)*a^2+5/128*B*b^4/c^3*(c*x^2+b*x+a)^(1/2)*a+5/256*A/c^2*(c*x^2+b*x+a)^(1/2)*x*b^4+15/128*B*b^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2-15/512*B*b^5/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a+15/256*A/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^4*a+5/32*A/c*(c*x^2+b*x+a)^(1/2)*b*a^2-5/32*B*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^3-1/12*B*b/c*x*(c*x^2+b*x+a)^(5/2)-15/64*A/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^2*a^2-5/512*B*b^5/c^3*(c*x^2+b*x+a)^(1/2)*x+5/192*B*b^3/c^2*(c*x^2+b*x+a)^(3/2)*x-5/96*B*b^2/c^2*(c*x^2+b*x+a)^(3/2)*a-5/96*A/c*(c*x^2+b*x+a)^(3/2)*x*b^2-5/64*A/c^2*(c*x^2+b*x+a)^(1/2)*b^3*a+1/7*B*(c*x^2+b*x+a)^(7/2)/c","B"
940,1,694,320,0.059000," ","int((B*x+A)*(c*x^2+b*x+a)^(5/2)/x,x)","-A \,a^{\frac{5}{2}} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)+\frac{15 A \,a^{2} b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 \sqrt{c}}-\frac{5 A a \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{3}{2}}}+\frac{3 A \,b^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{5}{2}}}+\frac{5 B \,a^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 \sqrt{c}}-\frac{15 B \,a^{2} b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{3}{2}}}+\frac{15 B a \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{5}{2}}}-\frac{5 B \,b^{6} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{1024 c^{\frac{7}{2}}}+\frac{7 \sqrt{c \,x^{2}+b x +a}\, A a b x}{16}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,b^{3} x}{64 c}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,a^{2} x}{16}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{2} x}{32 c}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{4} x}{256 c^{2}}+\sqrt{c \,x^{2}+b x +a}\, A \,a^{2}+\frac{7 \sqrt{c \,x^{2}+b x +a}\, A a \,b^{2}}{32 c}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,b^{4}}{128 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b x}{8}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,a^{2} b}{32 c}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{3}}{64 c^{2}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a x}{24}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{5}}{512 c^{3}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{2} x}{96 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A a}{3}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2}}{16 c}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a b}{48 c}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{3}}{192 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B x}{6}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A}{5}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B b}{12 c}"," ",0,"-5/32*B/c*(c*x^2+b*x+a)^(1/2)*x*a*b^2+1/3*A*a*(c*x^2+b*x+a)^(3/2)+A*a^2*(c*x^2+b*x+a)^(1/2)-15/64*B/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^2*a^2+15/256*B/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^4*a+1/5*A*(c*x^2+b*x+a)^(5/2)-5/192*B/c^2*(c*x^2+b*x+a)^(3/2)*b^3+1/8*A*b*(c*x^2+b*x+a)^(3/2)*x+1/16*A/c*(c*x^2+b*x+a)^(3/2)*b^2-3/128*A/c^2*(c*x^2+b*x+a)^(1/2)*b^4+3/256*A/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^5+5/512*B/c^3*(c*x^2+b*x+a)^(1/2)*b^5+5/16*B/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^3+1/12*B/c*(c*x^2+b*x+a)^(5/2)*b+5/24*B*(c*x^2+b*x+a)^(3/2)*x*a+5/16*B*(c*x^2+b*x+a)^(1/2)*x*a^2-5/1024*B/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^6+5/256*B/c^2*(c*x^2+b*x+a)^(1/2)*x*b^4+5/48*B/c*(c*x^2+b*x+a)^(3/2)*b*a-5/96*B/c*(c*x^2+b*x+a)^(3/2)*x*b^2+7/32*A/c*(c*x^2+b*x+a)^(1/2)*b^2*a-3/64*A/c*(c*x^2+b*x+a)^(1/2)*x*b^3+15/16*A*b/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2-5/32*A/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^3*a+7/16*A*b*(c*x^2+b*x+a)^(1/2)*x*a-A*a^(5/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+1/6*B*x*(c*x^2+b*x+a)^(5/2)+5/32*B/c*(c*x^2+b*x+a)^(1/2)*b*a^2-5/64*B/c^2*(c*x^2+b*x+a)^(1/2)*b^3*a","B"
941,1,615,278,0.063000," ","int((B*x+A)*(c*x^2+b*x+a)^(5/2)/x^2,x)","\frac{15 A \,a^{2} \sqrt{c}\, \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8}-\frac{5 A \,a^{\frac{3}{2}} b \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2}+\frac{15 A a \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 \sqrt{c}}-\frac{5 A \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{3}{2}}}-B \,a^{\frac{5}{2}} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)+\frac{15 B \,a^{2} b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 \sqrt{c}}-\frac{5 B a \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{3}{2}}}+\frac{3 B \,b^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{5}{2}}}+\frac{15 \sqrt{c \,x^{2}+b x +a}\, A a c x}{8}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{2} x}{32}+\frac{7 \sqrt{c \,x^{2}+b x +a}\, B a b x}{16}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, B \,b^{3} x}{64 c}+\frac{55 \sqrt{c \,x^{2}+b x +a}\, A a b}{16}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{3}}{64 c}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A c x}{4}+\sqrt{c \,x^{2}+b x +a}\, B \,a^{2}+\frac{7 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{2}}{32 c}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, B \,b^{4}}{128 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b x}{8}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A c x}{a}+\frac{35 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b}{24}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B a}{3}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{2}}{16 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b}{a}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B}{5}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A}{a x}"," ",0,"1/5*B*(c*x^2+b*x+a)^(5/2)+15/16*A/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*b^2+15/8*A*(c*x^2+b*x+a)^(1/2)*x*a*c+A/a*b*(c*x^2+b*x+a)^(5/2)-5/2*A*a^(3/2)*b*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+5/4*A*c*(c*x^2+b*x+a)^(3/2)*x+5/32*A*(c*x^2+b*x+a)^(1/2)*x*b^2+5/64*A/c*(c*x^2+b*x+a)^(1/2)*b^3-5/128*A/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^4+55/16*A*(c*x^2+b*x+a)^(1/2)*b*a-A/a/x*(c*x^2+b*x+a)^(7/2)+15/8*A*c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2+1/8*B*b*(c*x^2+b*x+a)^(3/2)*x+1/16*B/c*(c*x^2+b*x+a)^(3/2)*b^2-3/128*B/c^2*(c*x^2+b*x+a)^(1/2)*b^4-5/32*B/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^3*a+A*c/a*(c*x^2+b*x+a)^(5/2)*x+3/256*B/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^5+B*a^2*(c*x^2+b*x+a)^(1/2)+35/24*A*b*(c*x^2+b*x+a)^(3/2)-B*a^(5/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+1/3*B*a*(c*x^2+b*x+a)^(3/2)+7/16*B*b*(c*x^2+b*x+a)^(1/2)*x*a-3/64*B/c*(c*x^2+b*x+a)^(1/2)*x*b^3+7/32*B/c*(c*x^2+b*x+a)^(1/2)*b^2*a+15/16*B*b/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2","B"
942,1,663,240,0.062000," ","int((B*x+A)*(c*x^2+b*x+a)^(5/2)/x^3,x)","-\frac{5 A \,a^{\frac{3}{2}} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2}+\frac{15 A a b \sqrt{c}\, \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4}-\frac{15 A \sqrt{a}\, b^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{8}+\frac{5 A \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 \sqrt{c}}+\frac{15 B \,a^{2} \sqrt{c}\, \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8}-\frac{5 B \,a^{\frac{3}{2}} b \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2}+\frac{15 B a \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 \sqrt{c}}-\frac{5 B \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{3}{2}}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A b c x}{2}+\frac{15 \sqrt{c \,x^{2}+b x +a}\, B a c x}{8}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{2} x}{32}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A a c}{2}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b c x}{4 a}+\frac{25 \sqrt{c \,x^{2}+b x +a}\, A \,b^{2}}{8}+\frac{55 \sqrt{c \,x^{2}+b x +a}\, B a b}{16}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{3}}{64 c}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B c x}{4}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2}}{4 a}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b c x}{4 a^{2}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A c}{6}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B c x}{a}+\frac{35 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b}{24}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A c}{2 a}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{2}}{4 a^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B b}{a}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A b}{4 a^{2} x}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B}{a x}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A}{2 a \,x^{2}}"," ",0,"5/4*A/a*b*c*(c*x^2+b*x+a)^(3/2)*x+3/4*A/a^2*b*c*(c*x^2+b*x+a)^(5/2)*x+35/24*B*b*(c*x^2+b*x+a)^(3/2)+5/6*A*c*(c*x^2+b*x+a)^(3/2)+25/8*A*b^2*(c*x^2+b*x+a)^(1/2)+15/16*B/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*b^2-3/4*A/a^2*b/x*(c*x^2+b*x+a)^(7/2)+15/4*A*a*b*c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+5/2*A*b*(c*x^2+b*x+a)^(1/2)*x*c+B*c/a*(c*x^2+b*x+a)^(5/2)*x+15/8*B*(c*x^2+b*x+a)^(1/2)*x*a*c-5/2*A*c*a^(3/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+5/16*A*b^3/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/4*A/a^2*b^2*(c*x^2+b*x+a)^(5/2)+5/4*A/a*b^2*(c*x^2+b*x+a)^(3/2)-1/2*A/a/x^2*(c*x^2+b*x+a)^(7/2)-15/8*A*a^(1/2)*b^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+1/2*A*c/a*(c*x^2+b*x+a)^(5/2)+5/2*A*c*a*(c*x^2+b*x+a)^(1/2)+15/8*B*c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2+5/32*B*(c*x^2+b*x+a)^(1/2)*x*b^2-5/2*B*a^(3/2)*b*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+B/a*b*(c*x^2+b*x+a)^(5/2)+55/16*B*(c*x^2+b*x+a)^(1/2)*b*a+5/64*B/c*(c*x^2+b*x+a)^(1/2)*b^3-5/128*B/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^4-B/a/x*(c*x^2+b*x+a)^(7/2)+5/4*B*c*(c*x^2+b*x+a)^(3/2)*x","B"
943,1,840,223,0.068000," ","int((B*x+A)*(c*x^2+b*x+a)^(5/2)/x^4,x)","\frac{5 A a \,c^{\frac{3}{2}} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2}-\frac{15 A \sqrt{a}\, b c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{4}-\frac{5 A \,b^{3} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 \sqrt{a}}+\frac{15 A \,b^{2} \sqrt{c}\, \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8}-\frac{5 B \,a^{\frac{3}{2}} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2}+\frac{15 B a b \sqrt{c}\, \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4}-\frac{15 B \sqrt{a}\, b^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{8}+\frac{5 B \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 \sqrt{c}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{2} c x}{8 a}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,c^{2} x}{2}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B b c x}{2}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{3}}{8 a}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,c^{2} x}{3 a}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2} c x}{24 a^{2}}+5 \sqrt{c \,x^{2}+b x +a}\, A b c +\frac{5 \sqrt{c \,x^{2}+b x +a}\, B a c}{2}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b c x}{4 a}+\frac{25 \sqrt{c \,x^{2}+b x +a}\, B \,b^{2}}{8}+\frac{25 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b c}{12 a}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{3}}{24 a^{2}}+\frac{4 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,c^{2} x}{3 a^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{2} c x}{8 a^{3}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{2}}{4 a}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B b c x}{4 a^{2}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B c}{6}+\frac{17 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b c}{12 a^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{3}}{8 a^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B c}{2 a}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{2}}{4 a^{2}}-\frac{4 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A c}{3 a^{2} x}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{2}}{8 a^{3} x}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B b}{4 a^{2} x}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A b}{12 a^{2} x^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B}{2 a \,x^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A}{3 a \,x^{3}}"," ",0,"3/4*B/a^2*b*c*(c*x^2+b*x+a)^(5/2)*x+5/24*A/a^2*b^2*c*(c*x^2+b*x+a)^(3/2)*x+1/8*A/a^3*b^2*c*(c*x^2+b*x+a)^(5/2)*x+5/8*A/a*b^2*(c*x^2+b*x+a)^(1/2)*x*c+5/4*B/a*b*c*(c*x^2+b*x+a)^(3/2)*x+5/6*B*c*(c*x^2+b*x+a)^(3/2)+25/8*B*b^2*(c*x^2+b*x+a)^(1/2)-3/4*B/a^2*b/x*(c*x^2+b*x+a)^(7/2)+5/2*B*b*(c*x^2+b*x+a)^(1/2)*x*c+5*A*b*c*(c*x^2+b*x+a)^(1/2)-5/16*A/a^(1/2)*b^3*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-1/3*A/a/x^3*(c*x^2+b*x+a)^(7/2)+5/2*A*c^(3/2)*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+5/2*A*c^2*(c*x^2+b*x+a)^(1/2)*x+5/8*A/a*b^3*(c*x^2+b*x+a)^(1/2)+15/8*A*b^2*c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/8*A/a^3*b^3*(c*x^2+b*x+a)^(5/2)+5/24*A/a^2*b^3*(c*x^2+b*x+a)^(3/2)+5/2*B*c*a*(c*x^2+b*x+a)^(1/2)+1/2*B*c/a*(c*x^2+b*x+a)^(5/2)-5/2*B*c*a^(3/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-1/2*B/a/x^2*(c*x^2+b*x+a)^(7/2)-15/8*B*a^(1/2)*b^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+3/4*B/a^2*b^2*(c*x^2+b*x+a)^(5/2)+5/4*B/a*b^2*(c*x^2+b*x+a)^(3/2)+5/16*B*b^3/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+15/4*B*a*b*c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-15/4*A*a^(1/2)*b*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+5/3*A*c^2/a*(c*x^2+b*x+a)^(3/2)*x-4/3*A*c/a^2/x*(c*x^2+b*x+a)^(7/2)+25/12*A/a*b*c*(c*x^2+b*x+a)^(3/2)-1/12*A/a^2*b/x^2*(c*x^2+b*x+a)^(7/2)-1/8*A/a^3*b^2/x*(c*x^2+b*x+a)^(7/2)+4/3*A*c^2/a^2*(c*x^2+b*x+a)^(5/2)*x+17/12*A/a^2*b*c*(c*x^2+b*x+a)^(5/2)","B"
944,1,1094,252,0.071000," ","int((B*x+A)*(c*x^2+b*x+a)^(5/2)/x^5,x)","-\frac{15 A \sqrt{a}\, c^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{8}-\frac{15 A \,b^{2} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 \sqrt{a}}+\frac{5 A \,b^{4} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{128 a^{\frac{3}{2}}}+\frac{5 A b \,c^{\frac{3}{2}} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2}+\frac{5 B a \,c^{\frac{3}{2}} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2}-\frac{15 B \sqrt{a}\, b c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{4}-\frac{5 B \,b^{3} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 \sqrt{a}}+\frac{15 B \,b^{2} \sqrt{c}\, \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8}+\frac{25 \sqrt{c \,x^{2}+b x +a}\, A b \,c^{2} x}{16 a}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{3} c x}{64 a^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{2} c x}{8 a}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,c^{2} x}{2}+\frac{55 \sqrt{c \,x^{2}+b x +a}\, A \,b^{2} c}{32 a}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{4}}{64 a^{2}}+\frac{35 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b \,c^{2} x}{48 a^{2}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{3} c x}{192 a^{3}}+\frac{15 \sqrt{c \,x^{2}+b x +a}\, A \,c^{2}}{8}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{3}}{8 a}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,c^{2} x}{3 a}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{2} c x}{24 a^{2}}+5 \sqrt{c \,x^{2}+b x +a}\, B b c +\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,c^{2}}{8 a}+\frac{65 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2} c}{96 a^{2}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{4}}{192 a^{3}}+\frac{19 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b \,c^{2} x}{48 a^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{3} c x}{64 a^{4}}+\frac{25 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b c}{12 a}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{3}}{24 a^{2}}+\frac{4 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,c^{2} x}{3 a^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{2} c x}{8 a^{3}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,c^{2}}{8 a^{2}}+\frac{37 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{2} c}{96 a^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{4}}{64 a^{4}}+\frac{17 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B b c}{12 a^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{3}}{8 a^{3}}-\frac{19 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A b c}{48 a^{3} x}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{3}}{64 a^{4} x}-\frac{4 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B c}{3 a^{2} x}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{2}}{8 a^{3} x}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A c}{8 a^{2} x^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{2}}{96 a^{3} x^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B b}{12 a^{2} x^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A b}{24 a^{2} x^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B}{3 a \,x^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A}{4 a \,x^{4}}"," ",0,"-19/48*A/a^3*b*c/x*(c*x^2+b*x+a)^(7/2)+35/48*A/a^2*b*c^2*(c*x^2+b*x+a)^(3/2)*x+25/16*A/a*b*c^2*(c*x^2+b*x+a)^(1/2)*x-5/64*A/a^2*b^3*(c*x^2+b*x+a)^(1/2)*x*c-5/192*A/a^3*b^3*c*(c*x^2+b*x+a)^(3/2)*x+19/48*A/a^3*b*c^2*(c*x^2+b*x+a)^(5/2)*x+5/24*B/a^2*b^2*c*(c*x^2+b*x+a)^(3/2)*x-1/64*A/a^4*b^3*c*(c*x^2+b*x+a)^(5/2)*x+1/8*B/a^3*b^2*c*(c*x^2+b*x+a)^(5/2)*x+5/8*B/a*b^2*(c*x^2+b*x+a)^(1/2)*x*c+5/8*A*c^2/a*(c*x^2+b*x+a)^(3/2)-1/4*A/a/x^4*(c*x^2+b*x+a)^(7/2)+5/128*A/a^(3/2)*b^4*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-15/8*A*c^2*a^(1/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+5/2*B*c^(3/2)*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/3*B/a/x^3*(c*x^2+b*x+a)^(7/2)-5/16*B/a^(1/2)*b^3*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+5*B*b*c*(c*x^2+b*x+a)^(1/2)+5/8*B/a*b^3*(c*x^2+b*x+a)^(1/2)+1/8*B/a^3*b^3*(c*x^2+b*x+a)^(5/2)+5/24*B/a^2*b^3*(c*x^2+b*x+a)^(3/2)+15/8*B*b^2*c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+15/8*A*c^2*(c*x^2+b*x+a)^(1/2)+5/2*B*c^2*(c*x^2+b*x+a)^(1/2)*x-15/16*A/a^(1/2)*b^2*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+1/24*A/a^2*b/x^3*(c*x^2+b*x+a)^(7/2)+5/2*A*b*c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-5/64*A/a^2*b^4*(c*x^2+b*x+a)^(1/2)-1/64*A/a^4*b^4*(c*x^2+b*x+a)^(5/2)-5/192*A/a^3*b^4*(c*x^2+b*x+a)^(3/2)+3/8*A*c^2/a^2*(c*x^2+b*x+a)^(5/2)+37/96*A/a^3*b^2*c*(c*x^2+b*x+a)^(5/2)+1/96*A/a^3*b^2/x^2*(c*x^2+b*x+a)^(7/2)+65/96*A/a^2*b^2*c*(c*x^2+b*x+a)^(3/2)+1/64*A/a^4*b^3/x*(c*x^2+b*x+a)^(7/2)+55/32*A/a*b^2*c*(c*x^2+b*x+a)^(1/2)-3/8*A*c/a^2/x^2*(c*x^2+b*x+a)^(7/2)+17/12*B/a^2*b*c*(c*x^2+b*x+a)^(5/2)-1/12*B/a^2*b/x^2*(c*x^2+b*x+a)^(7/2)+25/12*B/a*b*c*(c*x^2+b*x+a)^(3/2)-1/8*B/a^3*b^2/x*(c*x^2+b*x+a)^(7/2)-15/4*B*a^(1/2)*b*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-4/3*B*c/a^2/x*(c*x^2+b*x+a)^(7/2)+5/3*B*c^2/a*(c*x^2+b*x+a)^(3/2)*x+4/3*B*c^2/a^2*(c*x^2+b*x+a)^(5/2)*x","B"
945,1,1371,314,0.073000," ","int((B*x+A)*(c*x^2+b*x+a)^(5/2)/x^6,x)","-\frac{15 A b \,c^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 \sqrt{a}}+\frac{5 A \,b^{3} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{32 a^{\frac{3}{2}}}-\frac{3 A \,b^{5} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{256 a^{\frac{5}{2}}}+A \,c^{\frac{5}{2}} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)-\frac{15 B \sqrt{a}\, c^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{8}-\frac{15 B \,b^{2} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 \sqrt{a}}+\frac{5 B \,b^{4} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{128 a^{\frac{3}{2}}}+\frac{5 B b \,c^{\frac{3}{2}} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2}+\frac{\sqrt{c \,x^{2}+b x +a}\, A \,c^{3} x}{a}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, A \,b^{2} c^{2} x}{32 a^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,b^{4} c x}{128 a^{3}}+\frac{25 \sqrt{c \,x^{2}+b x +a}\, B b \,c^{2} x}{16 a}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{3} c x}{64 a^{2}}+\frac{23 \sqrt{c \,x^{2}+b x +a}\, A b \,c^{2}}{16 a}-\frac{17 \sqrt{c \,x^{2}+b x +a}\, A \,b^{3} c}{64 a^{2}}+\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,c^{3} x}{3 a^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,b^{5}}{128 a^{3}}-\frac{13 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2} c^{2} x}{96 a^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{4} c x}{128 a^{4}}+\frac{55 \sqrt{c \,x^{2}+b x +a}\, B \,b^{2} c}{32 a}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{4}}{64 a^{2}}+\frac{35 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b \,c^{2} x}{48 a^{2}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{3} c x}{192 a^{3}}+\frac{15 \sqrt{c \,x^{2}+b x +a}\, B \,c^{2}}{8}+\frac{31 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b \,c^{2}}{48 a^{2}}-\frac{23 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{3} c}{192 a^{3}}+\frac{8 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,c^{3} x}{15 a^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{5}}{128 a^{4}}-\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{2} c^{2} x}{160 a^{4}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{4} c x}{640 a^{5}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,c^{2}}{8 a}+\frac{65 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{2} c}{96 a^{2}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{4}}{192 a^{3}}+\frac{19 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B b \,c^{2} x}{48 a^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{3} c x}{64 a^{4}}+\frac{109 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b \,c^{2}}{240 a^{3}}-\frac{21 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{3} c}{320 a^{4}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{5}}{640 a^{5}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,c^{2}}{8 a^{2}}+\frac{37 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{2} c}{96 a^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{4}}{64 a^{4}}-\frac{8 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,c^{2}}{15 a^{3} x}+\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{2} c}{160 a^{4} x}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{4}}{640 a^{5} x}-\frac{19 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B b c}{48 a^{3} x}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{3}}{64 a^{4} x}+\frac{19 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A b c}{240 a^{3} x^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{3}}{320 a^{4} x^{2}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B c}{8 a^{2} x^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{2}}{96 a^{3} x^{2}}-\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A c}{15 a^{2} x^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{2}}{80 a^{3} x^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B b}{24 a^{2} x^{3}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A b}{40 a^{2} x^{4}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B}{4 a \,x^{4}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A}{5 a \,x^{5}}"," ",0,"-21/320*A/a^4*b^3*c*(c*x^2+b*x+a)^(5/2)+15/8*B*c^2*(c*x^2+b*x+a)^(1/2)+A*c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+19/240*A/a^3*b*c/x^2*(c*x^2+b*x+a)^(7/2)-13/96*A/a^3*b^2*c^2*(c*x^2+b*x+a)^(3/2)*x+35/48*B/a^2*b*c^2*(c*x^2+b*x+a)^(3/2)*x+25/16*B/a*b*c^2*(c*x^2+b*x+a)^(1/2)*x-7/32*A/a^2*b^2*c^2*(c*x^2+b*x+a)^(1/2)*x+11/160*A/a^4*b^2*c/x*(c*x^2+b*x+a)^(7/2)+3/128*A/a^3*b^4*(c*x^2+b*x+a)^(1/2)*x*c-11/160*A/a^4*b^2*c^2*(c*x^2+b*x+a)^(5/2)*x+1/128*A/a^4*b^4*c*(c*x^2+b*x+a)^(3/2)*x+3/640*A/a^5*b^4*c*(c*x^2+b*x+a)^(5/2)*x-19/48*B/a^3*b*c/x*(c*x^2+b*x+a)^(7/2)+19/48*B/a^3*b*c^2*(c*x^2+b*x+a)^(5/2)*x-5/64*B/a^2*b^3*(c*x^2+b*x+a)^(1/2)*x*c-5/192*B/a^3*b^3*c*(c*x^2+b*x+a)^(3/2)*x-1/64*B/a^4*b^3*c*(c*x^2+b*x+a)^(5/2)*x+109/240*A/a^3*b*c^2*(c*x^2+b*x+a)^(5/2)-5/64*B/a^2*b^4*(c*x^2+b*x+a)^(1/2)-5/192*B/a^3*b^4*(c*x^2+b*x+a)^(3/2)-1/64*B/a^4*b^4*(c*x^2+b*x+a)^(5/2)+5/2*B*b*c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/8*B*c^2/a^2*(c*x^2+b*x+a)^(5/2)+5/8*B*c^2/a*(c*x^2+b*x+a)^(3/2)-1/5*A/a/x^5*(c*x^2+b*x+a)^(7/2)-3/256*A/a^(5/2)*b^5*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+3/128*A/a^3*b^5*(c*x^2+b*x+a)^(1/2)+1/128*A/a^4*b^5*(c*x^2+b*x+a)^(3/2)+3/640*A/a^5*b^5*(c*x^2+b*x+a)^(5/2)+5/128*B/a^(3/2)*b^4*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-1/4*B/a/x^4*(c*x^2+b*x+a)^(7/2)-15/8*B*c^2*a^(1/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+23/16*A/a*b*c^2*(c*x^2+b*x+a)^(1/2)+31/48*A/a^2*b*c^2*(c*x^2+b*x+a)^(3/2)+3/40*A/a^2*b/x^4*(c*x^2+b*x+a)^(7/2)-23/192*A/a^3*b^3*c*(c*x^2+b*x+a)^(3/2)-1/320*A/a^4*b^3/x^2*(c*x^2+b*x+a)^(7/2)-17/64*A/a^2*b^3*c*(c*x^2+b*x+a)^(1/2)-1/80*A/a^3*b^2/x^3*(c*x^2+b*x+a)^(7/2)-3/640*A/a^5*b^4/x*(c*x^2+b*x+a)^(7/2)-2/15*A*c/a^2/x^3*(c*x^2+b*x+a)^(7/2)+A*c^3/a*(c*x^2+b*x+a)^(1/2)*x-8/15*A*c^2/a^3/x*(c*x^2+b*x+a)^(7/2)+2/3*A*c^3/a^2*(c*x^2+b*x+a)^(3/2)*x+8/15*A*c^3/a^3*(c*x^2+b*x+a)^(5/2)*x-15/16*A/a^(1/2)*b*c^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+5/32*A/a^(3/2)*b^3*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+65/96*B/a^2*b^2*c*(c*x^2+b*x+a)^(3/2)+1/96*B/a^3*b^2/x^2*(c*x^2+b*x+a)^(7/2)+55/32*B/a*b^2*c*(c*x^2+b*x+a)^(1/2)+1/24*B/a^2*b/x^3*(c*x^2+b*x+a)^(7/2)+1/64*B/a^4*b^3/x*(c*x^2+b*x+a)^(7/2)+37/96*B/a^3*b^2*c*(c*x^2+b*x+a)^(5/2)-3/8*B*c/a^2/x^2*(c*x^2+b*x+a)^(7/2)-15/16*B/a^(1/2)*b^2*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)","B"
946,1,1677,302,0.086000," ","int((B*x+A)*(c*x^2+b*x+a)^(5/2)/x^7,x)","-\frac{5 A \,c^{3} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 \sqrt{a}}+\frac{15 A \,b^{2} c^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{64 a^{\frac{3}{2}}}-\frac{15 A \,b^{4} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{256 a^{\frac{5}{2}}}+\frac{5 A \,b^{6} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{1024 a^{\frac{7}{2}}}-\frac{15 B b \,c^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 \sqrt{a}}+\frac{5 B \,b^{3} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{32 a^{\frac{3}{2}}}-\frac{3 B \,b^{5} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{256 a^{\frac{5}{2}}}+B \,c^{\frac{5}{2}} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)-\frac{5 \sqrt{c \,x^{2}+b x +a}\, A b \,c^{3} x}{32 a^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{3} c^{2} x}{64 a^{3}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{5} c x}{512 a^{4}}+\frac{\sqrt{c \,x^{2}+b x +a}\, B \,c^{3} x}{a}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, B \,b^{2} c^{2} x}{32 a^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B \,b^{4} c x}{128 a^{3}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,c^{3}}{16 a}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{2} c^{2}}{16 a^{2}}+\frac{25 \sqrt{c \,x^{2}+b x +a}\, A \,b^{4} c}{256 a^{3}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b \,c^{3} x}{32 a^{3}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{6}}{512 a^{4}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{3} c^{2} x}{96 a^{4}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{5} c x}{1536 a^{5}}+\frac{23 \sqrt{c \,x^{2}+b x +a}\, B b \,c^{2}}{16 a}-\frac{17 \sqrt{c \,x^{2}+b x +a}\, B \,b^{3} c}{64 a^{2}}+\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,c^{3} x}{3 a^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B \,b^{5}}{128 a^{3}}-\frac{13 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{2} c^{2} x}{96 a^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{4} c x}{128 a^{4}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,c^{3}}{48 a^{2}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2} c^{2}}{32 a^{3}}+\frac{35 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{4} c}{768 a^{4}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b \,c^{3} x}{32 a^{4}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{6}}{1536 a^{5}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{3} c^{2} x}{192 a^{5}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{5} c x}{512 a^{6}}+\frac{31 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b \,c^{2}}{48 a^{2}}-\frac{23 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{3} c}{192 a^{3}}+\frac{8 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,c^{3} x}{15 a^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{5}}{128 a^{4}}-\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{2} c^{2} x}{160 a^{4}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{4} c x}{640 a^{5}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,c^{3}}{16 a^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{2} c^{2}}{8 a^{4}}+\frac{19 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{4} c}{768 a^{5}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{6}}{512 a^{6}}+\frac{109 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B b \,c^{2}}{240 a^{3}}-\frac{21 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{3} c}{320 a^{4}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{5}}{640 a^{5}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A b \,c^{2}}{32 a^{4} x}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{3} c}{192 a^{5} x}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{5}}{512 a^{6} x}-\frac{8 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,c^{2}}{15 a^{3} x}+\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{2} c}{160 a^{4} x}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{4}}{640 a^{5} x}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,c^{2}}{16 a^{3} x^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{2} c}{32 a^{4} x^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{4}}{768 a^{5} x^{2}}+\frac{19 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B b c}{240 a^{3} x^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{3}}{320 a^{4} x^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A b c}{16 a^{3} x^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{3}}{192 a^{4} x^{3}}-\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B c}{15 a^{2} x^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{2}}{80 a^{3} x^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A c}{24 a^{2} x^{4}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{2}}{32 a^{3} x^{4}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B b}{40 a^{2} x^{4}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A b}{12 a^{2} x^{5}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B}{5 a \,x^{5}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A}{6 a \,x^{6}}"," ",0,"-1/32*A/a^4*b^2*c/x^2*(c*x^2+b*x+a)^(7/2)+5/96*A/a^4*b^3*c^2*(c*x^2+b*x+a)^(3/2)*x-5/1536*A/a^5*b^5*c*(c*x^2+b*x+a)^(3/2)*x-1/512*A/a^6*b^5*c*(c*x^2+b*x+a)^(5/2)*x+5/64*A/a^3*b^3*c^2*(c*x^2+b*x+a)^(1/2)*x+5/192*A/a^5*b^3*c^2*(c*x^2+b*x+a)^(5/2)*x-5/512*A/a^4*b^5*(c*x^2+b*x+a)^(1/2)*x*c-5/192*A/a^5*b^3*c/x*(c*x^2+b*x+a)^(7/2)+5/32*A/a^4*b*c^2/x*(c*x^2+b*x+a)^(7/2)+19/240*B/a^3*b*c/x^2*(c*x^2+b*x+a)^(7/2)-13/96*B/a^3*b^2*c^2*(c*x^2+b*x+a)^(3/2)*x+11/160*B/a^4*b^2*c/x*(c*x^2+b*x+a)^(7/2)+3/640*B/a^5*b^4*c*(c*x^2+b*x+a)^(5/2)*x+1/128*B/a^4*b^4*c*(c*x^2+b*x+a)^(3/2)*x-11/160*B/a^4*b^2*c^2*(c*x^2+b*x+a)^(5/2)*x-7/32*B/a^2*b^2*c^2*(c*x^2+b*x+a)^(1/2)*x+3/128*B/a^3*b^4*(c*x^2+b*x+a)^(1/2)*x*c-5/32*A/a^3*b*c^3*(c*x^2+b*x+a)^(3/2)*x-5/32*A/a^2*b*c^3*(c*x^2+b*x+a)^(1/2)*x-5/32*A/a^4*b*c^3*(c*x^2+b*x+a)^(5/2)*x+1/16*A/a^3*b*c/x^3*(c*x^2+b*x+a)^(7/2)+B*c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/128*B/a^4*b^5*(c*x^2+b*x+a)^(3/2)+3/640*B/a^5*b^5*(c*x^2+b*x+a)^(5/2)+3/128*B/a^3*b^5*(c*x^2+b*x+a)^(1/2)-1/5*B/a/x^5*(c*x^2+b*x+a)^(7/2)-3/256*B/a^(5/2)*b^5*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+5/1024*A/a^(7/2)*b^6*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-5/16*A*c^3/a^(1/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-5/1536*A/a^5*b^6*(c*x^2+b*x+a)^(3/2)-1/512*A/a^6*b^6*(c*x^2+b*x+a)^(5/2)-5/512*A/a^4*b^6*(c*x^2+b*x+a)^(1/2)+5/48*A*c^3/a^2*(c*x^2+b*x+a)^(3/2)+1/16*A*c^3/a^3*(c*x^2+b*x+a)^(5/2)+5/16*A*c^3/a*(c*x^2+b*x+a)^(1/2)-1/6*A/a/x^6*(c*x^2+b*x+a)^(7/2)+31/48*B/a^2*b*c^2*(c*x^2+b*x+a)^(3/2)+109/240*B/a^3*b*c^2*(c*x^2+b*x+a)^(5/2)+1/512*A/a^6*b^5/x*(c*x^2+b*x+a)^(7/2)+1/12*A/a^2*b/x^5*(c*x^2+b*x+a)^(7/2)-1/16*A*c^2/a^3/x^2*(c*x^2+b*x+a)^(7/2)-15/256*A/a^(5/2)*b^4*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+15/64*A/a^(3/2)*b^2*c^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+5/32*B/a^(3/2)*b^3*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-15/16*B/a^(1/2)*b*c^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-8/15*B*c^2/a^3/x*(c*x^2+b*x+a)^(7/2)+2/3*B*c^3/a^2*(c*x^2+b*x+a)^(3/2)*x+B*c^3/a*(c*x^2+b*x+a)^(1/2)*x+8/15*B*c^3/a^3*(c*x^2+b*x+a)^(5/2)*x-2/15*B*c/a^2/x^3*(c*x^2+b*x+a)^(7/2)-23/192*B/a^3*b^3*c*(c*x^2+b*x+a)^(3/2)-21/320*B/a^4*b^3*c*(c*x^2+b*x+a)^(5/2)-1/320*B/a^4*b^3/x^2*(c*x^2+b*x+a)^(7/2)-3/640*B/a^5*b^4/x*(c*x^2+b*x+a)^(7/2)+23/16*B/a*b*c^2*(c*x^2+b*x+a)^(1/2)+3/40*B/a^2*b/x^4*(c*x^2+b*x+a)^(7/2)-1/80*B/a^3*b^2/x^3*(c*x^2+b*x+a)^(7/2)-17/64*B/a^2*b^3*c*(c*x^2+b*x+a)^(1/2)-1/24*A*c/a^2/x^4*(c*x^2+b*x+a)^(7/2)-5/32*A/a^3*b^2*c^2*(c*x^2+b*x+a)^(3/2)-1/8*A/a^4*b^2*c^2*(c*x^2+b*x+a)^(5/2)-5/16*A/a^2*b^2*c^2*(c*x^2+b*x+a)^(1/2)-1/32*A/a^3*b^2/x^4*(c*x^2+b*x+a)^(7/2)+1/192*A/a^4*b^3/x^3*(c*x^2+b*x+a)^(7/2)+25/256*A/a^3*b^4*c*(c*x^2+b*x+a)^(1/2)+35/768*A/a^4*b^4*c*(c*x^2+b*x+a)^(3/2)+19/768*A/a^5*b^4*c*(c*x^2+b*x+a)^(5/2)+1/768*A/a^5*b^4/x^2*(c*x^2+b*x+a)^(7/2)","B"
947,1,1874,193,0.113000," ","int((B*x+A)*(c*x^2+b*x+a)^(5/2)/x^8,x)","\frac{5 A b \,c^{3} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{32 a^{\frac{3}{2}}}-\frac{15 A \,b^{3} c^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{128 a^{\frac{5}{2}}}+\frac{15 A \,b^{5} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{512 a^{\frac{7}{2}}}-\frac{5 A \,b^{7} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2048 a^{\frac{9}{2}}}-\frac{5 B \,c^{3} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 \sqrt{a}}+\frac{15 B \,b^{2} c^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{64 a^{\frac{3}{2}}}-\frac{15 B \,b^{4} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{256 a^{\frac{5}{2}}}+\frac{5 B \,b^{6} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{1024 a^{\frac{7}{2}}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{2} c^{3} x}{64 a^{3}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{4} c^{2} x}{128 a^{4}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{6} c x}{1024 a^{5}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, B b \,c^{3} x}{32 a^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{3} c^{2} x}{64 a^{3}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{5} c x}{512 a^{4}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, A b \,c^{3}}{32 a^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{3} c^{2}}{32 a^{3}}-\frac{25 \sqrt{c \,x^{2}+b x +a}\, A \,b^{5} c}{512 a^{4}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2} c^{3} x}{64 a^{4}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{7}}{1024 a^{5}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{4} c^{2} x}{192 a^{5}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{6} c x}{3072 a^{6}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,c^{3}}{16 a}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{2} c^{2}}{16 a^{2}}+\frac{25 \sqrt{c \,x^{2}+b x +a}\, B \,b^{4} c}{256 a^{3}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b \,c^{3} x}{32 a^{3}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{6}}{512 a^{4}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{3} c^{2} x}{96 a^{4}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{5} c x}{1536 a^{5}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b \,c^{3}}{96 a^{3}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{3} c^{2}}{64 a^{4}}-\frac{35 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{5} c}{1536 a^{5}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{2} c^{3} x}{64 a^{5}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{7}}{3072 a^{6}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{4} c^{2} x}{384 a^{6}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{6} c x}{1024 a^{7}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,c^{3}}{48 a^{2}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{2} c^{2}}{32 a^{3}}+\frac{35 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{4} c}{768 a^{4}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B b \,c^{3} x}{32 a^{4}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{6}}{1536 a^{5}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{3} c^{2} x}{192 a^{5}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{5} c x}{512 a^{6}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b \,c^{3}}{32 a^{4}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{3} c^{2}}{16 a^{5}}-\frac{19 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{5} c}{1536 a^{6}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{7}}{1024 a^{7}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,c^{3}}{16 a^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{2} c^{2}}{8 a^{4}}+\frac{19 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{4} c}{768 a^{5}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{6}}{512 a^{6}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{2} c^{2}}{64 a^{5} x}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{4} c}{384 a^{6} x}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{6}}{1024 a^{7} x}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B b \,c^{2}}{32 a^{4} x}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{3} c}{192 a^{5} x}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{5}}{512 a^{6} x}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A b \,c^{2}}{32 a^{4} x^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{3} c}{64 a^{5} x^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{5}}{1536 a^{6} x^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,c^{2}}{16 a^{3} x^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{2} c}{32 a^{4} x^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{4}}{768 a^{5} x^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{2} c}{32 a^{4} x^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{4}}{384 a^{5} x^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B b c}{16 a^{3} x^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{3}}{192 a^{4} x^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A b c}{48 a^{3} x^{4}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{3}}{64 a^{4} x^{4}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B c}{24 a^{2} x^{4}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{2}}{32 a^{3} x^{4}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{2}}{24 a^{3} x^{5}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B b}{12 a^{2} x^{5}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A b}{12 a^{2} x^{6}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B}{6 a \,x^{6}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A}{7 a \,x^{7}}"," ",0,"-1/512*B/a^6*b^5*c*(c*x^2+b*x+a)^(5/2)*x-5/1536*B/a^5*b^5*c*(c*x^2+b*x+a)^(3/2)*x+5/64*B/a^3*b^3*c^2*(c*x^2+b*x+a)^(1/2)*x+1/16*B/a^3*b*c/x^3*(c*x^2+b*x+a)^(7/2)-5/192*B/a^5*b^3*c/x*(c*x^2+b*x+a)^(7/2)-5/32*B/a^2*b*c^3*(c*x^2+b*x+a)^(1/2)*x+5/32*B/a^4*b*c^2/x*(c*x^2+b*x+a)^(7/2)-5/32*B/a^4*b*c^3*(c*x^2+b*x+a)^(5/2)*x-5/32*B/a^3*b*c^3*(c*x^2+b*x+a)^(3/2)*x-1/32*B/a^4*b^2*c/x^2*(c*x^2+b*x+a)^(7/2)-5/512*B/a^4*b^5*(c*x^2+b*x+a)^(1/2)*x*c-5/192*A/a^5*b^4*c^2*(c*x^2+b*x+a)^(3/2)*x-5/64*A/a^5*b^2*c^2/x*(c*x^2+b*x+a)^(7/2)+5/64*A/a^3*b^2*c^3*(c*x^2+b*x+a)^(1/2)*x+1/1024*A/a^7*b^6*c*(c*x^2+b*x+a)^(5/2)*x-1/32*A/a^4*b^2*c/x^3*(c*x^2+b*x+a)^(7/2)+1/32*A/a^4*b*c^2/x^2*(c*x^2+b*x+a)^(7/2)+1/48*A/a^3*b*c/x^4*(c*x^2+b*x+a)^(7/2)+5/64*A/a^5*b^2*c^3*(c*x^2+b*x+a)^(5/2)*x+5/192*B/a^5*b^3*c^2*(c*x^2+b*x+a)^(5/2)*x+5/96*B/a^4*b^3*c^2*(c*x^2+b*x+a)^(3/2)*x-25/512*A/a^4*b^5*c*(c*x^2+b*x+a)^(1/2)-1/1024*A/a^7*b^6/x*(c*x^2+b*x+a)^(7/2)-19/1536*A/a^6*b^5*c*(c*x^2+b*x+a)^(5/2)-1/1536*A/a^6*b^5/x^2*(c*x^2+b*x+a)^(7/2)-35/1536*A/a^5*b^5*c*(c*x^2+b*x+a)^(3/2)+1/16*A/a^5*b^3*c^2*(c*x^2+b*x+a)^(5/2)+5/32*A/a^3*b^3*c^2*(c*x^2+b*x+a)^(1/2)+5/64*A/a^4*b^3*c^2*(c*x^2+b*x+a)^(3/2)+1/64*A/a^4*b^3/x^4*(c*x^2+b*x+a)^(7/2)-1/32*A/a^4*b*c^3*(c*x^2+b*x+a)^(5/2)-5/32*A/a^2*b*c^3*(c*x^2+b*x+a)^(1/2)-5/96*A/a^3*b*c^3*(c*x^2+b*x+a)^(3/2)+1/12*A/a^2*b/x^6*(c*x^2+b*x+a)^(7/2)+5/32*A/a^(3/2)*b*c^3*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-15/128*A/a^(5/2)*b^3*c^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+15/512*A/a^(7/2)*b^5*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+5/64*A/a^4*b^2*c^3*(c*x^2+b*x+a)^(3/2)*x+1/64*A/a^5*b^3*c/x^2*(c*x^2+b*x+a)^(7/2)+5/1024*A/a^5*b^6*(c*x^2+b*x+a)^(1/2)*x*c-5/128*A/a^4*b^4*c^2*(c*x^2+b*x+a)^(1/2)*x+5/3072*A/a^6*b^6*c*(c*x^2+b*x+a)^(3/2)*x+5/384*A/a^6*b^4*c/x*(c*x^2+b*x+a)^(7/2)-5/384*A/a^6*b^4*c^2*(c*x^2+b*x+a)^(5/2)*x-1/32*B/a^3*b^2/x^4*(c*x^2+b*x+a)^(7/2)+15/64*B/a^(3/2)*b^2*c^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-15/256*B/a^(5/2)*b^4*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-1/24*B*c/a^2/x^4*(c*x^2+b*x+a)^(7/2)-1/16*B*c^2/a^3/x^2*(c*x^2+b*x+a)^(7/2)+1/12*B/a^2*b/x^5*(c*x^2+b*x+a)^(7/2)+1/192*B/a^4*b^3/x^3*(c*x^2+b*x+a)^(7/2)+25/256*B/a^3*b^4*c*(c*x^2+b*x+a)^(1/2)+1/512*B/a^6*b^5/x*(c*x^2+b*x+a)^(7/2)+19/768*B/a^5*b^4*c*(c*x^2+b*x+a)^(5/2)+1/768*B/a^5*b^4/x^2*(c*x^2+b*x+a)^(7/2)+35/768*B/a^4*b^4*c*(c*x^2+b*x+a)^(3/2)-1/8*B/a^4*b^2*c^2*(c*x^2+b*x+a)^(5/2)-1/24*A/a^3*b^2/x^5*(c*x^2+b*x+a)^(7/2)-1/384*A/a^5*b^4/x^3*(c*x^2+b*x+a)^(7/2)-5/16*B/a^2*b^2*c^2*(c*x^2+b*x+a)^(1/2)-5/32*B/a^3*b^2*c^2*(c*x^2+b*x+a)^(3/2)+5/1024*A/a^5*b^7*(c*x^2+b*x+a)^(1/2)+5/3072*A/a^6*b^7*(c*x^2+b*x+a)^(3/2)-5/2048*A/a^(9/2)*b^7*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+1/1024*A/a^7*b^7*(c*x^2+b*x+a)^(5/2)+1/16*B*c^3/a^3*(c*x^2+b*x+a)^(5/2)+5/16*B*c^3/a*(c*x^2+b*x+a)^(1/2)+5/48*B*c^3/a^2*(c*x^2+b*x+a)^(3/2)+5/1024*B/a^(7/2)*b^6*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-5/16*B*c^3/a^(1/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-1/6*B/a/x^6*(c*x^2+b*x+a)^(7/2)-1/512*B/a^6*b^6*(c*x^2+b*x+a)^(5/2)-5/512*B/a^4*b^6*(c*x^2+b*x+a)^(1/2)-5/1536*B/a^5*b^6*(c*x^2+b*x+a)^(3/2)-1/7*A*(c*x^2+b*x+a)^(7/2)/a/x^7","B"
948,1,2263,258,0.174000," ","int((B*x+A)*(c*x^2+b*x+a)^(5/2)/x^9,x)","\frac{5 A \,c^{4} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{128 a^{\frac{3}{2}}}-\frac{15 A \,b^{2} c^{3} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{128 a^{\frac{5}{2}}}+\frac{75 A \,b^{4} c^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{1024 a^{\frac{7}{2}}}-\frac{35 A \,b^{6} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2048 a^{\frac{9}{2}}}+\frac{45 A \,b^{8} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{32768 a^{\frac{11}{2}}}+\frac{5 B b \,c^{3} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{32 a^{\frac{3}{2}}}-\frac{15 B \,b^{3} c^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{128 a^{\frac{5}{2}}}+\frac{15 B \,b^{5} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{512 a^{\frac{7}{2}}}-\frac{5 B \,b^{7} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2048 a^{\frac{9}{2}}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A b \,c^{4} x}{256 a^{3}}-\frac{55 \sqrt{c \,x^{2}+b x +a}\, A \,b^{3} c^{3} x}{1024 a^{4}}+\frac{95 \sqrt{c \,x^{2}+b x +a}\, A \,b^{5} c^{2} x}{4096 a^{5}}-\frac{45 \sqrt{c \,x^{2}+b x +a}\, A \,b^{7} c x}{16384 a^{6}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{2} c^{3} x}{64 a^{3}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{4} c^{2} x}{128 a^{4}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{6} c x}{1024 a^{5}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,c^{4}}{128 a^{2}}+\frac{65 \sqrt{c \,x^{2}+b x +a}\, A \,b^{2} c^{3}}{512 a^{3}}-\frac{205 \sqrt{c \,x^{2}+b x +a}\, A \,b^{4} c^{2}}{2048 a^{4}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b \,c^{4} x}{256 a^{4}}+\frac{235 \sqrt{c \,x^{2}+b x +a}\, A \,b^{6} c}{8192 a^{5}}-\frac{155 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{3} c^{3} x}{3072 a^{5}}-\frac{45 \sqrt{c \,x^{2}+b x +a}\, A \,b^{8}}{16384 a^{6}}+\frac{185 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{5} c^{2} x}{12288 a^{6}}-\frac{15 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{7} c x}{16384 a^{7}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, B b \,c^{3}}{32 a^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{3} c^{2}}{32 a^{3}}-\frac{25 \sqrt{c \,x^{2}+b x +a}\, B \,b^{5} c}{512 a^{4}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{2} c^{3} x}{64 a^{4}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{7}}{1024 a^{5}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{4} c^{2} x}{192 a^{5}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{6} c x}{3072 a^{6}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,c^{4}}{384 a^{3}}+\frac{25 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2} c^{3}}{512 a^{4}}-\frac{305 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{4} c^{2}}{6144 a^{5}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b \,c^{4} x}{256 a^{5}}+\frac{325 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{6} c}{24576 a^{6}}-\frac{145 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{3} c^{3} x}{3072 a^{6}}-\frac{15 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{8}}{16384 a^{7}}+\frac{31 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{5} c^{2} x}{4096 a^{7}}-\frac{9 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{7} c x}{16384 a^{8}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B b \,c^{3}}{96 a^{3}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{3} c^{2}}{64 a^{4}}-\frac{35 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{5} c}{1536 a^{5}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{2} c^{3} x}{64 a^{5}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} B \,b^{7}}{3072 a^{6}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{4} c^{2} x}{384 a^{6}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{6} c x}{1024 a^{7}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,c^{4}}{128 a^{4}}+\frac{17 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{2} c^{3}}{512 a^{5}}-\frac{235 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{4} c^{2}}{6144 a^{6}}+\frac{59 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{6} c}{8192 a^{7}}-\frac{9 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A \,b^{8}}{16384 a^{8}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B b \,c^{3}}{32 a^{4}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{3} c^{2}}{16 a^{5}}-\frac{19 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{5} c}{1536 a^{6}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} B \,b^{7}}{1024 a^{7}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A b \,c^{3}}{256 a^{5} x}+\frac{145 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{3} c^{2}}{3072 a^{6} x}-\frac{31 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{5} c}{4096 a^{7} x}+\frac{9 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{7}}{16384 a^{8} x}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{2} c^{2}}{64 a^{5} x}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{4} c}{384 a^{6} x}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{6}}{1024 a^{7} x}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,c^{3}}{128 a^{4} x^{2}}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{2} c^{2}}{512 a^{5} x^{2}}-\frac{55 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{4} c}{6144 a^{6} x^{2}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{6}}{8192 a^{7} x^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B b \,c^{2}}{32 a^{4} x^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{3} c}{64 a^{5} x^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{5}}{1536 a^{6} x^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A b \,c^{2}}{128 a^{4} x^{3}}+\frac{13 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{3} c}{768 a^{5} x^{3}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{5}}{2048 a^{6} x^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{2} c}{32 a^{4} x^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{4}}{384 a^{5} x^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,c^{2}}{192 a^{3} x^{4}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{2} c}{128 a^{4} x^{4}}-\frac{9 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{4}}{1024 a^{5} x^{4}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B b c}{48 a^{3} x^{4}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{3}}{64 a^{4} x^{4}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A b c}{96 a^{3} x^{5}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{3}}{128 a^{4} x^{5}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B \,b^{2}}{24 a^{3} x^{5}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A c}{48 a^{2} x^{6}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A \,b^{2}}{64 a^{3} x^{6}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B b}{12 a^{2} x^{6}}+\frac{9 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A b}{112 a^{2} x^{7}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} B}{7 a \,x^{7}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} A}{8 a \,x^{8}}"," ",0,"-5/2048*B/a^(9/2)*b^7*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-5/384*B/a^6*b^4*c^2*(c*x^2+b*x+a)^(5/2)*x+13/768*A/a^5*b^3*c/x^3*(c*x^2+b*x+a)^(7/2)-1/96*A*c/a^3*b/x^5*(c*x^2+b*x+a)^(7/2)+31/4096*A/a^7*b^5*c^2*(c*x^2+b*x+a)^(5/2)*x+1/48*B/a^3*b*c/x^4*(c*x^2+b*x+a)^(7/2)+1/32*B/a^4*b*c^2/x^2*(c*x^2+b*x+a)^(7/2)-1/32*B/a^4*b^2*c/x^3*(c*x^2+b*x+a)^(7/2)+5/64*B/a^3*b^2*c^3*(c*x^2+b*x+a)^(1/2)*x-5/64*B/a^5*b^2*c^2/x*(c*x^2+b*x+a)^(7/2)+5/64*B/a^4*b^2*c^3*(c*x^2+b*x+a)^(3/2)*x+5/64*B/a^5*b^2*c^3*(c*x^2+b*x+a)^(5/2)*x+5/1024*B/a^5*b^6*(c*x^2+b*x+a)^(1/2)*x*c+5/3072*B/a^6*b^6*c*(c*x^2+b*x+a)^(3/2)*x+1/1024*B/a^7*b^6*c*(c*x^2+b*x+a)^(5/2)*x-5/128*B/a^4*b^4*c^2*(c*x^2+b*x+a)^(1/2)*x-31/4096*A/a^7*b^5*c/x*(c*x^2+b*x+a)^(7/2)-55/6144*A/a^6*b^4*c/x^2*(c*x^2+b*x+a)^(7/2)+185/12288*A/a^6*b^5*c^2*(c*x^2+b*x+a)^(3/2)*x+95/4096*A/a^5*b^5*c^2*(c*x^2+b*x+a)^(1/2)*x-9/16384*A/a^8*b^7*c*(c*x^2+b*x+a)^(5/2)*x-45/16384*A/a^6*b^7*(c*x^2+b*x+a)^(1/2)*x*c-15/16384*A/a^7*b^7*c*(c*x^2+b*x+a)^(3/2)*x-155/3072*A/a^5*b^3*c^3*(c*x^2+b*x+a)^(3/2)*x-145/3072*A/a^6*b^3*c^3*(c*x^2+b*x+a)^(5/2)*x-1/128*A/a^4*b^2*c/x^4*(c*x^2+b*x+a)^(7/2)+5/256*A*c^4/a^5*b*(c*x^2+b*x+a)^(5/2)*x+5/256*A*c^4/a^4*b*(c*x^2+b*x+a)^(3/2)*x+5/256*A*c^4/a^3*b*(c*x^2+b*x+a)^(1/2)*x-5/256*A*c^3/a^5*b/x*(c*x^2+b*x+a)^(7/2)-1/128*A*c^2/a^4*b/x^3*(c*x^2+b*x+a)^(7/2)+145/3072*A/a^6*b^3*c^2/x*(c*x^2+b*x+a)^(7/2)-55/1024*A/a^4*b^3*c^3*(c*x^2+b*x+a)^(1/2)*x-7/512*A/a^5*b^2*c^2/x^2*(c*x^2+b*x+a)^(7/2)+5/384*B/a^6*b^4*c/x*(c*x^2+b*x+a)^(7/2)+1/64*B/a^5*b^3*c/x^2*(c*x^2+b*x+a)^(7/2)-5/192*B/a^5*b^4*c^2*(c*x^2+b*x+a)^(3/2)*x-25/512*B/a^4*b^5*c*(c*x^2+b*x+a)^(1/2)-235/6144*A/a^6*b^4*c^2*(c*x^2+b*x+a)^(5/2)-205/2048*A/a^4*b^4*c^2*(c*x^2+b*x+a)^(1/2)-9/1024*A/a^5*b^4/x^4*(c*x^2+b*x+a)^(7/2)+3/2048*A/a^6*b^5/x^3*(c*x^2+b*x+a)^(7/2)-35/1536*B/a^5*b^5*c*(c*x^2+b*x+a)^(3/2)-1/1536*B/a^6*b^5/x^2*(c*x^2+b*x+a)^(7/2)-19/1536*B/a^6*b^5*c*(c*x^2+b*x+a)^(5/2)+235/8192*A/a^5*b^6*c*(c*x^2+b*x+a)^(1/2)+9/112*A/a^2*b/x^7*(c*x^2+b*x+a)^(7/2)-15/128*A/a^(5/2)*b^2*c^3*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+75/1024*A/a^(7/2)*b^4*c^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-35/2048*A/a^(9/2)*b^6*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+9/16384*A/a^8*b^7/x*(c*x^2+b*x+a)^(7/2)-305/6144*A/a^5*b^4*c^2*(c*x^2+b*x+a)^(3/2)+1/48*A*c/a^2/x^6*(c*x^2+b*x+a)^(7/2)+1/192*A*c^2/a^3/x^4*(c*x^2+b*x+a)^(7/2)+1/128*A*c^3/a^4/x^2*(c*x^2+b*x+a)^(7/2)+325/24576*A/a^6*b^6*c*(c*x^2+b*x+a)^(3/2)+3/8192*A/a^7*b^6/x^2*(c*x^2+b*x+a)^(7/2)+59/8192*A/a^7*b^6*c*(c*x^2+b*x+a)^(5/2)+3/128*A/a^4*b^3/x^5*(c*x^2+b*x+a)^(7/2)+25/512*A/a^4*b^2*c^3*(c*x^2+b*x+a)^(3/2)+17/512*A/a^5*b^2*c^3*(c*x^2+b*x+a)^(5/2)+65/512*A/a^3*b^2*c^3*(c*x^2+b*x+a)^(1/2)-3/64*A/a^3*b^2/x^6*(c*x^2+b*x+a)^(7/2)-1/24*B/a^3*b^2/x^5*(c*x^2+b*x+a)^(7/2)-5/96*B/a^3*b*c^3*(c*x^2+b*x+a)^(3/2)-1/32*B/a^4*b*c^3*(c*x^2+b*x+a)^(5/2)-5/32*B/a^2*b*c^3*(c*x^2+b*x+a)^(1/2)+5/32*B/a^(3/2)*b*c^3*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-15/128*B/a^(5/2)*b^3*c^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+15/512*B/a^(7/2)*b^5*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+1/12*B/a^2*b/x^6*(c*x^2+b*x+a)^(7/2)-1/1024*B/a^7*b^6/x*(c*x^2+b*x+a)^(7/2)+5/64*B/a^4*b^3*c^2*(c*x^2+b*x+a)^(3/2)+1/16*B/a^5*b^3*c^2*(c*x^2+b*x+a)^(5/2)+5/32*B/a^3*b^3*c^2*(c*x^2+b*x+a)^(1/2)+1/64*B/a^4*b^3/x^4*(c*x^2+b*x+a)^(7/2)-1/384*B/a^5*b^4/x^3*(c*x^2+b*x+a)^(7/2)-45/16384*A/a^6*b^8*(c*x^2+b*x+a)^(1/2)-15/16384*A/a^7*b^8*(c*x^2+b*x+a)^(3/2)-9/16384*A/a^8*b^8*(c*x^2+b*x+a)^(5/2)-5/384*A*c^4/a^3*(c*x^2+b*x+a)^(3/2)-1/128*A*c^4/a^4*(c*x^2+b*x+a)^(5/2)-5/128*A*c^4/a^2*(c*x^2+b*x+a)^(1/2)+45/32768*A/a^(11/2)*b^8*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+5/128*A*c^4/a^(3/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+5/1024*B/a^5*b^7*(c*x^2+b*x+a)^(1/2)+5/3072*B/a^6*b^7*(c*x^2+b*x+a)^(3/2)+1/1024*B/a^7*b^7*(c*x^2+b*x+a)^(5/2)-1/7*B/a/x^7*(c*x^2+b*x+a)^(7/2)-1/8*A*(c*x^2+b*x+a)^(7/2)/a/x^8","B"
949,1,2677,341,0.164000," ","int((B*x+A)*(c*x^2+b*x+a)^(5/2)/x^10,x)","\text{Expression too large to display}"," ",0,"3/8192*B/a^7*b^6/x^2*(c*x^2+b*x+a)^(7/2)+1/128*B*c^3/a^4/x^2*(c*x^2+b*x+a)^(7/2)+5/256*B*c^4/a^4*b*(c*x^2+b*x+a)^(3/2)*x-45/16384*B/a^6*b^7*(c*x^2+b*x+a)^(1/2)*x*c+5/256*B*c^4/a^3*b*(c*x^2+b*x+a)^(1/2)*x+13/768*B/a^5*b^3*c/x^3*(c*x^2+b*x+a)^(7/2)+5/256*B*c^4/a^5*b*(c*x^2+b*x+a)^(5/2)*x-145/3072*B/a^6*b^3*c^3*(c*x^2+b*x+a)^(5/2)*x-55/1024*B/a^4*b^3*c^3*(c*x^2+b*x+a)^(1/2)*x-55/6144*B/a^6*b^4*c/x^2*(c*x^2+b*x+a)^(7/2)-155/3072*B/a^5*b^3*c^3*(c*x^2+b*x+a)^(3/2)*x+145/3072*B/a^6*b^3*c^2/x*(c*x^2+b*x+a)^(7/2)+95/4096*B/a^5*b^5*c^2*(c*x^2+b*x+a)^(1/2)*x-5/256*B*c^3/a^5*b/x*(c*x^2+b*x+a)^(7/2)+55/98304*A/a^8*b^8*c*(c*x^2+b*x+a)^(3/2)*x+119/24576*A/a^8*b^6*c/x*(c*x^2+b*x+a)^(7/2)-3/256*A/a^5*b*c^3/x^2*(c*x^2+b*x+a)^(7/2)-1/128*A/a^4*b*c^2/x^4*(c*x^2+b*x+a)^(7/2)-1/32*A/a^3*b*c/x^6*(c*x^2+b*x+a)^(7/2)+3/256*A/a^5*b^2*c^2/x^3*(c*x^2+b*x+a)^(7/2)-15/512*A/a^4*b^2*c^4*(c*x^2+b*x+a)^(1/2)*x+15/512*A/a^6*b^2*c^3/x*(c*x^2+b*x+a)^(7/2)-15/512*A/a^6*b^2*c^4*(c*x^2+b*x+a)^(5/2)*x-15/512*A/a^5*b^2*c^4*(c*x^2+b*x+a)^(3/2)*x+55/32768*A/a^7*b^8*(c*x^2+b*x+a)^(1/2)*x*c-5/512*A/a^6*b^4*c/x^3*(c*x^2+b*x+a)^(7/2)+85/2048*A/a^5*b^4*c^3*(c*x^2+b*x+a)^(1/2)*x-65/2048*A/a^7*b^4*c^2/x*(c*x^2+b*x+a)^(7/2)+65/2048*A/a^7*b^4*c^3*(c*x^2+b*x+a)^(5/2)*x+75/2048*A/a^6*b^4*c^3*(c*x^2+b*x+a)^(3/2)*x+23/4096*A/a^7*b^5*c/x^2*(c*x^2+b*x+a)^(7/2)-125/8192*A/a^6*b^6*c^2*(c*x^2+b*x+a)^(1/2)*x+1/64*A/a^4*b^2*c/x^5*(c*x^2+b*x+a)^(7/2)+5/1024*A/a^6*b^3*c^2/x^2*(c*x^2+b*x+a)^(7/2)+1/768*A/a^5*b^3*c/x^4*(c*x^2+b*x+a)^(7/2)-119/24576*A/a^8*b^6*c^2*(c*x^2+b*x+a)^(5/2)*x-235/24576*A/a^7*b^6*c^2*(c*x^2+b*x+a)^(3/2)*x+11/32768*A/a^9*b^8*c*(c*x^2+b*x+a)^(5/2)*x-1/128*B*c^2/a^4*b/x^3*(c*x^2+b*x+a)^(7/2)-31/4096*B/a^7*b^5*c/x*(c*x^2+b*x+a)^(7/2)-15/16384*B/a^7*b^7*c*(c*x^2+b*x+a)^(3/2)*x+185/12288*B/a^6*b^5*c^2*(c*x^2+b*x+a)^(3/2)*x-9/16384*B/a^8*b^7*c*(c*x^2+b*x+a)^(5/2)*x+31/4096*B/a^7*b^5*c^2*(c*x^2+b*x+a)^(5/2)*x-7/512*B/a^5*b^2*c^2/x^2*(c*x^2+b*x+a)^(7/2)-1/128*B/a^4*b^2*c/x^4*(c*x^2+b*x+a)^(7/2)-1/96*B*c/a^3*b/x^5*(c*x^2+b*x+a)^(7/2)-15/16384*B/a^7*b^8*(c*x^2+b*x+a)^(3/2)-9/16384*B/a^8*b^8*(c*x^2+b*x+a)^(5/2)-45/16384*B/a^6*b^8*(c*x^2+b*x+a)^(1/2)-5/384*B*c^4/a^3*(c*x^2+b*x+a)^(3/2)-1/128*B*c^4/a^4*(c*x^2+b*x+a)^(5/2)-5/128*B*c^4/a^2*(c*x^2+b*x+a)^(1/2)-1/8*B/a/x^8*(c*x^2+b*x+a)^(7/2)+45/32768*B/a^(11/2)*b^8*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+5/128*B*c^4/a^(3/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+55/98304*A/a^8*b^9*(c*x^2+b*x+a)^(3/2)+11/32768*A/a^9*b^9*(c*x^2+b*x+a)^(5/2)+55/32768*A/a^7*b^9*(c*x^2+b*x+a)^(1/2)-55/65536*A/a^(13/2)*b^9*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-11/224*A/a^3*b^2/x^7*(c*x^2+b*x+a)^(7/2)-145/3072*A/a^5*b^3*c^3*(c*x^2+b*x+a)^(3/2)-35/1024*A/a^6*b^3*c^3*(c*x^2+b*x+a)^(5/2)-115/1024*A/a^4*b^3*c^3*(c*x^2+b*x+a)^(1/2)-227/49152*A/a^8*b^7*c*(c*x^2+b*x+a)^(5/2)-11/32768*A/a^9*b^8/x*(c*x^2+b*x+a)^(7/2)+11/2048*A/a^6*b^5/x^4*(c*x^2+b*x+a)^(7/2)+145/4096*A/a^6*b^5*c^2*(c*x^2+b*x+a)^(3/2)+107/4096*A/a^7*b^5*c^2*(c*x^2+b*x+a)^(5/2)+295/4096*A/a^5*b^5*c^2*(c*x^2+b*x+a)^(1/2)-11/768*A/a^5*b^4/x^5*(c*x^2+b*x+a)^(7/2)+11/384*A/a^4*b^3/x^6*(c*x^2+b*x+a)^(7/2)-11/12288*A/a^7*b^6/x^3*(c*x^2+b*x+a)^(7/2)-305/16384*A/a^6*b^7*c*(c*x^2+b*x+a)^(1/2)-415/49152*A/a^7*b^7*c*(c*x^2+b*x+a)^(3/2)-11/49152*A/a^8*b^7/x^2*(c*x^2+b*x+a)^(7/2)+2/63*A*c/a^2/x^7*(c*x^2+b*x+a)^(7/2)+25/256*A/a^(7/2)*b^3*c^3*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+45/4096*A/a^(11/2)*b^7*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-105/2048*A/a^(9/2)*b^5*c^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-15/256*A/a^(5/2)*b*c^4*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+9/112*B/a^2*b/x^7*(c*x^2+b*x+a)^(7/2)+25/512*B/a^4*b^2*c^3*(c*x^2+b*x+a)^(3/2)+17/512*B/a^5*b^2*c^3*(c*x^2+b*x+a)^(5/2)+1/192*B*c^2/a^3/x^4*(c*x^2+b*x+a)^(7/2)+1/48*B*c/a^2/x^6*(c*x^2+b*x+a)^(7/2)-15/128*B/a^(5/2)*b^2*c^3*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-35/2048*B/a^(9/2)*b^6*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+75/1024*B/a^(7/2)*b^4*c^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+65/512*B/a^3*b^2*c^3*(c*x^2+b*x+a)^(1/2)+59/8192*B/a^7*b^6*c*(c*x^2+b*x+a)^(5/2)+9/16384*B/a^8*b^7/x*(c*x^2+b*x+a)^(7/2)-9/1024*B/a^5*b^4/x^4*(c*x^2+b*x+a)^(7/2)-305/6144*B/a^5*b^4*c^2*(c*x^2+b*x+a)^(3/2)-235/6144*B/a^6*b^4*c^2*(c*x^2+b*x+a)^(5/2)-205/2048*B/a^4*b^4*c^2*(c*x^2+b*x+a)^(1/2)+3/128*B/a^4*b^3/x^5*(c*x^2+b*x+a)^(7/2)-3/64*B/a^3*b^2/x^6*(c*x^2+b*x+a)^(7/2)+3/2048*B/a^6*b^5/x^3*(c*x^2+b*x+a)^(7/2)+235/8192*B/a^5*b^6*c*(c*x^2+b*x+a)^(1/2)+325/24576*B/a^6*b^6*c*(c*x^2+b*x+a)^(3/2)+5/256*A/a^4*b*c^4*(c*x^2+b*x+a)^(3/2)+3/256*A/a^5*b*c^4*(c*x^2+b*x+a)^(5/2)+15/256*A/a^3*b*c^4*(c*x^2+b*x+a)^(1/2)+11/144*A/a^2*b/x^8*(c*x^2+b*x+a)^(7/2)-1/9*A*(c*x^2+b*x+a)^(7/2)/a/x^9","B"
950,1,531,255,0.071000," ","int(x^4*(B*x+A)/(c*x^2+b*x+a)^(1/2),x)","\frac{\sqrt{c \,x^{2}+b x +a}\, B \,x^{4}}{5 c}+\frac{\sqrt{c \,x^{2}+b x +a}\, A \,x^{3}}{4 c}-\frac{9 \sqrt{c \,x^{2}+b x +a}\, B b \,x^{3}}{40 c^{2}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, A b \,x^{2}}{24 c^{2}}-\frac{4 \sqrt{c \,x^{2}+b x +a}\, B a \,x^{2}}{15 c^{2}}+\frac{21 \sqrt{c \,x^{2}+b x +a}\, B \,b^{2} x^{2}}{80 c^{3}}+\frac{3 A \,a^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}-\frac{15 A a \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}+\frac{35 A \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{9}{2}}}-\frac{15 B \,a^{2} b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}+\frac{35 B a \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{9}{2}}}-\frac{63 B \,b^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{11}{2}}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, A a x}{8 c^{2}}+\frac{35 \sqrt{c \,x^{2}+b x +a}\, A \,b^{2} x}{96 c^{3}}+\frac{161 \sqrt{c \,x^{2}+b x +a}\, B a b x}{240 c^{3}}-\frac{21 \sqrt{c \,x^{2}+b x +a}\, B \,b^{3} x}{64 c^{4}}+\frac{55 \sqrt{c \,x^{2}+b x +a}\, A a b}{48 c^{3}}-\frac{35 \sqrt{c \,x^{2}+b x +a}\, A \,b^{3}}{64 c^{4}}+\frac{8 \sqrt{c \,x^{2}+b x +a}\, B \,a^{2}}{15 c^{3}}-\frac{49 \sqrt{c \,x^{2}+b x +a}\, B a \,b^{2}}{32 c^{4}}+\frac{63 \sqrt{c \,x^{2}+b x +a}\, B \,b^{4}}{128 c^{5}}"," ",0,"1/5*B*x^4*(c*x^2+b*x+a)^(1/2)/c-9/40*B*b/c^2*x^3*(c*x^2+b*x+a)^(1/2)+21/80*B*b^2/c^3*x^2*(c*x^2+b*x+a)^(1/2)-21/64*B*b^3/c^4*x*(c*x^2+b*x+a)^(1/2)+63/128*B*b^4/c^5*(c*x^2+b*x+a)^(1/2)-63/256*B*b^5/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+35/32*B*b^3/c^(9/2)*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-49/32*B*b^2/c^4*a*(c*x^2+b*x+a)^(1/2)+161/240*B*b/c^3*a*x*(c*x^2+b*x+a)^(1/2)-15/16*B*b/c^(7/2)*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-4/15*B*a/c^2*x^2*(c*x^2+b*x+a)^(1/2)+8/15*B*a^2/c^3*(c*x^2+b*x+a)^(1/2)+1/4*A*x^3/c*(c*x^2+b*x+a)^(1/2)-7/24*A*b/c^2*x^2*(c*x^2+b*x+a)^(1/2)+35/96*A*b^2/c^3*x*(c*x^2+b*x+a)^(1/2)-35/64*A*b^3/c^4*(c*x^2+b*x+a)^(1/2)+35/128*A*b^4/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-15/16*A*b^2/c^(7/2)*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+55/48*A*b/c^3*a*(c*x^2+b*x+a)^(1/2)-3/8*A*a/c^2*x*(c*x^2+b*x+a)^(1/2)+3/8*A*a^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))","B"
951,1,379,184,0.054000," ","int(x^3*(B*x+A)/(c*x^2+b*x+a)^(1/2),x)","\frac{\sqrt{c \,x^{2}+b x +a}\, B \,x^{3}}{4 c}+\frac{\sqrt{c \,x^{2}+b x +a}\, A \,x^{2}}{3 c}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, B b \,x^{2}}{24 c^{2}}+\frac{3 A a b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{5}{2}}}-\frac{5 A \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}+\frac{3 B \,a^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}-\frac{15 B a \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}+\frac{35 B \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{9}{2}}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, A b x}{12 c^{2}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, B a x}{8 c^{2}}+\frac{35 \sqrt{c \,x^{2}+b x +a}\, B \,b^{2} x}{96 c^{3}}-\frac{2 \sqrt{c \,x^{2}+b x +a}\, A a}{3 c^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{2}}{8 c^{3}}+\frac{55 \sqrt{c \,x^{2}+b x +a}\, B a b}{48 c^{3}}-\frac{35 \sqrt{c \,x^{2}+b x +a}\, B \,b^{3}}{64 c^{4}}"," ",0,"1/4*B*x^3*(c*x^2+b*x+a)^(1/2)/c-7/24*B*b/c^2*x^2*(c*x^2+b*x+a)^(1/2)+35/96*B*b^2/c^3*x*(c*x^2+b*x+a)^(1/2)-35/64*B*b^3/c^4*(c*x^2+b*x+a)^(1/2)+35/128*B*b^4/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-15/16*B*b^2/c^(7/2)*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+55/48*B*b/c^3*a*(c*x^2+b*x+a)^(1/2)-3/8*B*a/c^2*x*(c*x^2+b*x+a)^(1/2)+3/8*B*a^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/3*A*x^2/c*(c*x^2+b*x+a)^(1/2)-5/12*A*b/c^2*x*(c*x^2+b*x+a)^(1/2)+5/8*A*b^2/c^3*(c*x^2+b*x+a)^(1/2)-5/16*A*b^3/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/4*A*b/c^(5/2)*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-2/3*A*a/c^2*(c*x^2+b*x+a)^(1/2)","B"
952,1,254,125,0.059000," ","int(x^2*(B*x+A)/(c*x^2+b*x+a)^(1/2),x)","\frac{\sqrt{c \,x^{2}+b x +a}\, B \,x^{2}}{3 c}-\frac{A a \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}+\frac{3 A \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}+\frac{3 B a b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{5}{2}}}-\frac{5 B \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}+\frac{\sqrt{c \,x^{2}+b x +a}\, A x}{2 c}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, B b x}{12 c^{2}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, A b}{4 c^{2}}-\frac{2 \sqrt{c \,x^{2}+b x +a}\, B a}{3 c^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{2}}{8 c^{3}}"," ",0,"1/3*B*x^2*(c*x^2+b*x+a)^(1/2)/c-5/12*B*b/c^2*x*(c*x^2+b*x+a)^(1/2)+5/8*B*b^2/c^3*(c*x^2+b*x+a)^(1/2)-5/16*B*b^3/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/4*B*b/c^(5/2)*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-2/3*B*a/c^2*(c*x^2+b*x+a)^(1/2)+1/2*A*x/c*(c*x^2+b*x+a)^(1/2)-3/4*A*b/c^2*(c*x^2+b*x+a)^(1/2)+3/8*A*b^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/2*A*a/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))","B"
953,1,155,78,0.051000," ","int(x*(B*x+A)/(c*x^2+b*x+a)^(1/2),x)","-\frac{A b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}-\frac{B a \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}+\frac{3 B \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}+\frac{\sqrt{c \,x^{2}+b x +a}\, B x}{2 c}+\frac{\sqrt{c \,x^{2}+b x +a}\, A}{c}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, B b}{4 c^{2}}"," ",0,"1/2*B*x/c*(c*x^2+b*x+a)^(1/2)-3/4*B*b/c^2*(c*x^2+b*x+a)^(1/2)+3/8*B*b^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/2*B*a/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+A/c*(c*x^2+b*x+a)^(1/2)-1/2*A*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))","A"
954,1,81,55,0.058000," ","int((B*x+A)/(c*x^2+b*x+a)^(1/2),x)","\frac{A \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}}-\frac{B b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}+\frac{\sqrt{c \,x^{2}+b x +a}\, B}{c}"," ",0,"B*(c*x^2+b*x+a)^(1/2)/c-1/2*B*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+A*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))/c^(1/2)","A"
955,1,67,61,0.053000," ","int((B*x+A)/x/(c*x^2+b*x+a)^(1/2),x)","-\frac{A \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{\sqrt{a}}+\frac{B \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}}"," ",0,"B*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))/c^(1/2)-A/a^(1/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)","A"
956,1,94,60,0.075000," ","int((B*x+A)/x^2/(c*x^2+b*x+a)^(1/2),x)","\frac{A b \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{3}{2}}}-\frac{B \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{\sqrt{a}}-\frac{\sqrt{c \,x^{2}+b x +a}\, A}{a x}"," ",0,"-A*(c*x^2+b*x+a)^(1/2)/a/x+1/2*A*b/a^(3/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-B/a^(1/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)","A"
957,1,176,98,0.058000," ","int((B*x+A)/x^3/(c*x^2+b*x+a)^(1/2),x)","\frac{A c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{3}{2}}}-\frac{3 A \,b^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{5}{2}}}+\frac{B b \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{3}{2}}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A b}{4 a^{2} x}-\frac{\sqrt{c \,x^{2}+b x +a}\, B}{a x}-\frac{\sqrt{c \,x^{2}+b x +a}\, A}{2 a \,x^{2}}"," ",0,"-1/2*A*(c*x^2+b*x+a)^(1/2)/a/x^2+3/4*A/a^2*b/x*(c*x^2+b*x+a)^(1/2)-3/8*A/a^(5/2)*b^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+1/2*A*c/a^(3/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-B/a/x*(c*x^2+b*x+a)^(1/2)+1/2*B*b/a^(3/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)","A"
958,1,283,145,0.070000," ","int((B*x+A)/x^4/(c*x^2+b*x+a)^(1/2),x)","-\frac{3 A b c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{4 a^{\frac{5}{2}}}+\frac{5 A \,b^{3} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{7}{2}}}+\frac{B c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{3}{2}}}-\frac{3 B \,b^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{5}{2}}}+\frac{2 \sqrt{c \,x^{2}+b x +a}\, A c}{3 a^{2} x}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{2}}{8 a^{3} x}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B b}{4 a^{2} x}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A b}{12 a^{2} x^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, B}{2 a \,x^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, A}{3 a \,x^{3}}"," ",0,"-1/3*A*(c*x^2+b*x+a)^(1/2)/a/x^3+5/12*A/a^2*b/x^2*(c*x^2+b*x+a)^(1/2)-5/8*A/a^3*b^2/x*(c*x^2+b*x+a)^(1/2)+5/16*A/a^(7/2)*b^3*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-3/4*A/a^(5/2)*b*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+2/3*A*c/a^2/x*(c*x^2+b*x+a)^(1/2)-1/2*B/a/x^2*(c*x^2+b*x+a)^(1/2)+3/4*B/a^2*b/x*(c*x^2+b*x+a)^(1/2)-3/8*B/a^(5/2)*b^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+1/2*B*c/a^(3/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)","A"
959,1,417,205,0.056000," ","int((B*x+A)/x^5/(c*x^2+b*x+a)^(1/2),x)","-\frac{3 A \,c^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{5}{2}}}+\frac{15 A \,b^{2} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{7}{2}}}-\frac{35 A \,b^{4} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{128 a^{\frac{9}{2}}}-\frac{3 B b c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{4 a^{\frac{5}{2}}}+\frac{5 B \,b^{3} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{7}{2}}}-\frac{55 \sqrt{c \,x^{2}+b x +a}\, A b c}{48 a^{3} x}+\frac{35 \sqrt{c \,x^{2}+b x +a}\, A \,b^{3}}{64 a^{4} x}+\frac{2 \sqrt{c \,x^{2}+b x +a}\, B c}{3 a^{2} x}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{2}}{8 a^{3} x}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A c}{8 a^{2} x^{2}}-\frac{35 \sqrt{c \,x^{2}+b x +a}\, A \,b^{2}}{96 a^{3} x^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B b}{12 a^{2} x^{2}}+\frac{7 \sqrt{c \,x^{2}+b x +a}\, A b}{24 a^{2} x^{3}}-\frac{\sqrt{c \,x^{2}+b x +a}\, B}{3 a \,x^{3}}-\frac{\sqrt{c \,x^{2}+b x +a}\, A}{4 a \,x^{4}}"," ",0,"-1/4*A*(c*x^2+b*x+a)^(1/2)/a/x^4+7/24*A/a^2*b/x^3*(c*x^2+b*x+a)^(1/2)-35/96*A/a^3*b^2/x^2*(c*x^2+b*x+a)^(1/2)+35/64*A/a^4*b^3/x*(c*x^2+b*x+a)^(1/2)-35/128*A/a^(9/2)*b^4*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+15/16*A/a^(7/2)*b^2*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-55/48*A/a^3*b*c/x*(c*x^2+b*x+a)^(1/2)+3/8*A*c/a^2/x^2*(c*x^2+b*x+a)^(1/2)-3/8*A*c^2/a^(5/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-1/3*B/a/x^3*(c*x^2+b*x+a)^(1/2)+5/12*B/a^2*b/x^2*(c*x^2+b*x+a)^(1/2)-5/8*B/a^3*b^2/x*(c*x^2+b*x+a)^(1/2)+5/16*B/a^(7/2)*b^3*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-3/4*B/a^(5/2)*b*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+2/3*B*c/a^2/x*(c*x^2+b*x+a)^(1/2)","B"
960,1,578,276,0.066000," ","int((B*x+A)/x^6/(c*x^2+b*x+a)^(1/2),x)","\frac{15 A b \,c^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{7}{2}}}-\frac{35 A \,b^{3} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{32 a^{\frac{9}{2}}}+\frac{63 A \,b^{5} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{256 a^{\frac{11}{2}}}-\frac{3 B \,c^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{5}{2}}}+\frac{15 B \,b^{2} c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{7}{2}}}-\frac{35 B \,b^{4} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{128 a^{\frac{9}{2}}}-\frac{8 \sqrt{c \,x^{2}+b x +a}\, A \,c^{2}}{15 a^{3} x}+\frac{49 \sqrt{c \,x^{2}+b x +a}\, A \,b^{2} c}{32 a^{4} x}-\frac{63 \sqrt{c \,x^{2}+b x +a}\, A \,b^{4}}{128 a^{5} x}-\frac{55 \sqrt{c \,x^{2}+b x +a}\, B b c}{48 a^{3} x}+\frac{35 \sqrt{c \,x^{2}+b x +a}\, B \,b^{3}}{64 a^{4} x}-\frac{161 \sqrt{c \,x^{2}+b x +a}\, A b c}{240 a^{3} x^{2}}+\frac{21 \sqrt{c \,x^{2}+b x +a}\, A \,b^{3}}{64 a^{4} x^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B c}{8 a^{2} x^{2}}-\frac{35 \sqrt{c \,x^{2}+b x +a}\, B \,b^{2}}{96 a^{3} x^{2}}+\frac{4 \sqrt{c \,x^{2}+b x +a}\, A c}{15 a^{2} x^{3}}-\frac{21 \sqrt{c \,x^{2}+b x +a}\, A \,b^{2}}{80 a^{3} x^{3}}+\frac{7 \sqrt{c \,x^{2}+b x +a}\, B b}{24 a^{2} x^{3}}+\frac{9 \sqrt{c \,x^{2}+b x +a}\, A b}{40 a^{2} x^{4}}-\frac{\sqrt{c \,x^{2}+b x +a}\, B}{4 a \,x^{4}}-\frac{\sqrt{c \,x^{2}+b x +a}\, A}{5 a \,x^{5}}"," ",0,"-1/5*A*(c*x^2+b*x+a)^(1/2)/a/x^5+9/40*A/a^2*b/x^4*(c*x^2+b*x+a)^(1/2)-21/80*A/a^3*b^2/x^3*(c*x^2+b*x+a)^(1/2)+21/64*A/a^4*b^3/x^2*(c*x^2+b*x+a)^(1/2)-63/128*A/a^5*b^4/x*(c*x^2+b*x+a)^(1/2)+63/256*A/a^(11/2)*b^5*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-35/32*A/a^(9/2)*b^3*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+49/32*A/a^4*b^2*c/x*(c*x^2+b*x+a)^(1/2)-161/240*A/a^3*b*c/x^2*(c*x^2+b*x+a)^(1/2)+15/16*A/a^(7/2)*b*c^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+4/15*A*c/a^2/x^3*(c*x^2+b*x+a)^(1/2)-8/15*A*c^2/a^3/x*(c*x^2+b*x+a)^(1/2)-1/4*B/a/x^4*(c*x^2+b*x+a)^(1/2)+7/24*B/a^2*b/x^3*(c*x^2+b*x+a)^(1/2)-35/96*B/a^3*b^2/x^2*(c*x^2+b*x+a)^(1/2)+35/64*B/a^4*b^3/x*(c*x^2+b*x+a)^(1/2)-35/128*B/a^(9/2)*b^4*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+15/16*B/a^(7/2)*b^2*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-55/48*B/a^3*b*c/x*(c*x^2+b*x+a)^(1/2)+3/8*B*c/a^2/x^2*(c*x^2+b*x+a)^(1/2)-3/8*B*c^2/a^(5/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)","B"
961,1,800,260,0.072000," ","int(x^4*(B*x+A)/(c*x^2+b*x+a)^(3/2),x)","\frac{B \,x^{4}}{3 \sqrt{c \,x^{2}+b x +a}\, c}-\frac{13 A a \,b^{2} x}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{15 A \,b^{4} x}{8 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{A \,x^{3}}{2 \sqrt{c \,x^{2}+b x +a}\, c}-\frac{16 B \,a^{2} b x}{3 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{115 B a \,b^{3} x}{12 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{35 B \,b^{5} x}{16 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{4}}-\frac{7 B b \,x^{3}}{12 \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{13 A a \,b^{3}}{4 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{15 A \,b^{5}}{16 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{4}}-\frac{5 A b \,x^{2}}{4 \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{8 B \,a^{2} b^{2}}{3 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{115 B a \,b^{4}}{24 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{4}}-\frac{4 B a \,x^{2}}{3 \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{35 B \,b^{6}}{32 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{5}}+\frac{35 B \,b^{2} x^{2}}{24 \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{3 A a x}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{15 A \,b^{2} x}{8 \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{15 B a b x}{4 \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{35 B \,b^{3} x}{16 \sqrt{c \,x^{2}+b x +a}\, c^{4}}-\frac{3 A a \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{5}{2}}}+\frac{15 A \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{7}{2}}}+\frac{15 B a b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{7}{2}}}-\frac{35 B \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{9}{2}}}-\frac{13 A a b}{4 \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{15 A \,b^{3}}{16 \sqrt{c \,x^{2}+b x +a}\, c^{4}}-\frac{8 B \,a^{2}}{3 \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{115 B a \,b^{2}}{24 \sqrt{c \,x^{2}+b x +a}\, c^{4}}-\frac{35 B \,b^{4}}{32 \sqrt{c \,x^{2}+b x +a}\, c^{5}}"," ",0,"15/16*A*b^5/c^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-13/4*A*b/c^3*a/(c*x^2+b*x+a)^(1/2)+3/2*A*a/c^2*x/(c*x^2+b*x+a)^(1/2)-7/12*B*b/c^2*x^3/(c*x^2+b*x+a)^(1/2)-4/3*B*a/c^2*x^2/(c*x^2+b*x+a)^(1/2)+35/24*B*b^2/c^3*x^2/(c*x^2+b*x+a)^(1/2)+35/16*B*b^3/c^4*x/(c*x^2+b*x+a)^(1/2)-35/32*B*b^6/c^5/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+15/8*A*b^4/c^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x-16/3*B*a^2/c^2*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+115/12*B*b^3/c^3*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x-13/2*A*b^2/c^2*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+1/2*A*x^3/c/(c*x^2+b*x+a)^(1/2)+15/16*A*b^3/c^4/(c*x^2+b*x+a)^(1/2)+15/8*A*b^2/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/3*B*x^4/c/(c*x^2+b*x+a)^(1/2)-35/32*B*b^4/c^5/(c*x^2+b*x+a)^(1/2)-35/16*B*b^3/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-8/3*B*a^2/c^3/(c*x^2+b*x+a)^(1/2)-3/2*A*a/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-5/4*A*b/c^2*x^2/(c*x^2+b*x+a)^(1/2)-15/8*A*b^2/c^3*x/(c*x^2+b*x+a)^(1/2)+115/24*B*b^2/c^4*a/(c*x^2+b*x+a)^(1/2)+15/4*B*b/c^(7/2)*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-13/4*A*b^3/c^3*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-35/16*B*b^5/c^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+115/24*B*b^4/c^4*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-15/4*B*b/c^3*a*x/(c*x^2+b*x+a)^(1/2)-8/3*B*a^2/c^3*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)","B"
962,1,576,181,0.060000," ","int(x^3*(B*x+A)/(c*x^2+b*x+a)^(3/2),x)","\frac{4 A a b x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{3 A \,b^{3} x}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{13 B a \,b^{2} x}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{15 B \,b^{4} x}{8 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{B \,x^{3}}{2 \sqrt{c \,x^{2}+b x +a}\, c}+\frac{2 A a \,b^{2}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{3 A \,b^{4}}{4 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{A \,x^{2}}{\sqrt{c \,x^{2}+b x +a}\, c}-\frac{13 B a \,b^{3}}{4 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{15 B \,b^{5}}{16 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{4}}-\frac{5 B b \,x^{2}}{4 \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{3 A b x}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{3 B a x}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{15 B \,b^{2} x}{8 \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{3 A b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{5}{2}}}-\frac{3 B a \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{5}{2}}}+\frac{15 B \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{7}{2}}}+\frac{2 A a}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{3 A \,b^{2}}{4 \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{13 B a b}{4 \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{15 B \,b^{3}}{16 \sqrt{c \,x^{2}+b x +a}\, c^{4}}"," ",0,"1/2*B*x^3/c/(c*x^2+b*x+a)^(1/2)-5/4*B*b/c^2*x^2/(c*x^2+b*x+a)^(1/2)-15/8*B*b^2/c^3*x/(c*x^2+b*x+a)^(1/2)+15/16*B*b^3/c^4/(c*x^2+b*x+a)^(1/2)+15/8*B*b^4/c^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+15/16*B*b^5/c^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+15/8*B*b^2/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-13/4*B*b/c^3*a/(c*x^2+b*x+a)^(1/2)-13/2*B*b^2/c^2*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x-13/4*B*b^3/c^3*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+3/2*B*a/c^2*x/(c*x^2+b*x+a)^(1/2)-3/2*B*a/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+A*x^2/c/(c*x^2+b*x+a)^(1/2)+3/2*A*b/c^2*x/(c*x^2+b*x+a)^(1/2)-3/4*A*b^2/c^3/(c*x^2+b*x+a)^(1/2)-3/2*A*b^3/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x-3/4*A*b^4/c^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-3/2*A*b/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+2*A*a/c^2/(c*x^2+b*x+a)^(1/2)+4*A*a/c*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+2*A*a/c^2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)","B"
963,1,382,139,0.055000," ","int(x^2*(B*x+A)/(c*x^2+b*x+a)^(3/2),x)","\frac{A \,b^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}+\frac{4 B a b x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{3 B \,b^{3} x}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{A \,b^{3}}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{2 B a \,b^{2}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{3 B \,b^{4}}{4 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{B \,x^{2}}{\sqrt{c \,x^{2}+b x +a}\, c}-\frac{A x}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{3 B b x}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{A \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}-\frac{3 B b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{5}{2}}}+\frac{A b}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{2 B a}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{3 B \,b^{2}}{4 \sqrt{c \,x^{2}+b x +a}\, c^{3}}"," ",0,"B*x^2/c/(c*x^2+b*x+a)^(1/2)+3/2*B*b/c^2*x/(c*x^2+b*x+a)^(1/2)-3/4*B*b^2/c^3/(c*x^2+b*x+a)^(1/2)-3/2*B*b^3/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x-3/4*B*b^4/c^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-3/2*B*b/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+2*B*a/c^2/(c*x^2+b*x+a)^(1/2)+4*B*a/c*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+2*B*a/c^2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-A*x/c/(c*x^2+b*x+a)^(1/2)+1/2*A*b/c^2/(c*x^2+b*x+a)^(1/2)+A*b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+1/2*A*b^3/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+A/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))","B"
964,1,216,86,0.053000," ","int(x*(B*x+A)/(c*x^2+b*x+a)^(3/2),x)","-\frac{2 A b x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}+\frac{B \,b^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{A \,b^{2}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}+\frac{B \,b^{3}}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{B x}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{B \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}-\frac{A}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{B b}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}"," ",0,"-B*x/c/(c*x^2+b*x+a)^(1/2)+1/2*B*b/c^2/(c*x^2+b*x+a)^(1/2)+B*b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+1/2*B*b^3/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+B/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-A/c/(c*x^2+b*x+a)^(1/2)-2*A*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x-A*b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)","B"
965,1,45,43,0.050000," ","int((B*x+A)/(c*x^2+b*x+a)^(3/2),x)","\frac{4 A c x -2 B b x +2 A b -4 B a}{\sqrt{c \,x^{2}+b x +a}\, \left(4 a c -b^{2}\right)}"," ",0,"2/(c*x^2+b*x+a)^(1/2)*(2*A*c*x-B*b*x+A*b-2*B*a)/(4*a*c-b^2)","A"
966,1,153,86,0.053000," ","int((B*x+A)/x/(c*x^2+b*x+a)^(3/2),x)","-\frac{2 A b c x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a}-\frac{A \,b^{2}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a}+\frac{2 \left(2 c x +b \right) B}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}-\frac{A \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{a^{\frac{3}{2}}}+\frac{A}{\sqrt{c \,x^{2}+b x +a}\, a}"," ",0,"2*B*(2*c*x+b)/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+A/a/(c*x^2+b*x+a)^(1/2)-2*A*b/a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*c*x-A*b^2/a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-A/a^(3/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)","A"
967,1,330,144,0.060000," ","int((B*x+A)/x^2/(c*x^2+b*x+a)^(3/2),x)","-\frac{8 A \,c^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a}+\frac{3 A \,b^{2} c x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{2}}-\frac{2 B b c x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a}-\frac{4 A b c}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a}+\frac{3 A \,b^{3}}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{2}}-\frac{B \,b^{2}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a}+\frac{3 A b \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{5}{2}}}-\frac{B \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{a^{\frac{3}{2}}}-\frac{3 A b}{2 \sqrt{c \,x^{2}+b x +a}\, a^{2}}+\frac{B}{\sqrt{c \,x^{2}+b x +a}\, a}-\frac{A}{\sqrt{c \,x^{2}+b x +a}\, a x}"," ",0,"-A/a/x/(c*x^2+b*x+a)^(1/2)-3/2*A/a^2*b/(c*x^2+b*x+a)^(1/2)+3*A/a^2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*c*x+3/2*A/a^2*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+3/2*A/a^(5/2)*b*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-8*A*c^2/a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x-4*A*c/a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*b+B/a/(c*x^2+b*x+a)^(1/2)-2*B*b/a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*c*x-B*b^2/a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-B/a^(3/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)","B"
968,1,506,211,0.073000," ","int((B*x+A)/x^3/(c*x^2+b*x+a)^(3/2),x)","\frac{13 A b \,c^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{2}}-\frac{15 A \,b^{3} c x}{4 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{3}}-\frac{8 B \,c^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a}+\frac{3 B \,b^{2} c x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{2}}+\frac{13 A \,b^{2} c}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{2}}-\frac{15 A \,b^{4}}{8 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{3}}-\frac{4 B b c}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a}+\frac{3 B \,b^{3}}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{2}}+\frac{3 A c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{5}{2}}}-\frac{15 A \,b^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{7}{2}}}+\frac{3 B b \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{5}{2}}}-\frac{3 A c}{2 \sqrt{c \,x^{2}+b x +a}\, a^{2}}+\frac{15 A \,b^{2}}{8 \sqrt{c \,x^{2}+b x +a}\, a^{3}}-\frac{3 B b}{2 \sqrt{c \,x^{2}+b x +a}\, a^{2}}+\frac{5 A b}{4 \sqrt{c \,x^{2}+b x +a}\, a^{2} x}-\frac{B}{\sqrt{c \,x^{2}+b x +a}\, a x}-\frac{A}{2 \sqrt{c \,x^{2}+b x +a}\, a \,x^{2}}"," ",0,"-1/2*A/a/x^2/(c*x^2+b*x+a)^(1/2)+5/4*A/a^2*b/x/(c*x^2+b*x+a)^(1/2)+15/8*A/a^3*b^2/(c*x^2+b*x+a)^(1/2)-15/4*A/a^3*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*c*x-15/8*A/a^3*b^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-15/8*A/a^(7/2)*b^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+13*A/a^2*b*c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+13/2*A/a^2*b^2*c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-3/2*A*c/a^2/(c*x^2+b*x+a)^(1/2)+3/2*A*c/a^(5/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-B/a/x/(c*x^2+b*x+a)^(1/2)-3/2*B/a^2*b/(c*x^2+b*x+a)^(1/2)+3*B/a^2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*c*x+3/2*B/a^2*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+3/2*B/a^(5/2)*b*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-8*B*c^2/a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x-4*B*c/a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*b","B"
969,1,708,293,0.067000," ","int((B*x+A)/x^4/(c*x^2+b*x+a)^(3/2),x)","\frac{32 A \,c^{3} x}{3 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{2}}-\frac{115 A \,b^{2} c^{2} x}{6 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{3}}+\frac{35 A \,b^{4} c x}{8 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{4}}+\frac{13 B b \,c^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{2}}-\frac{15 B \,b^{3} c x}{4 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{3}}+\frac{16 A b \,c^{2}}{3 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{2}}-\frac{115 A \,b^{3} c}{12 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{3}}+\frac{35 A \,b^{5}}{16 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{4}}+\frac{13 B \,b^{2} c}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{2}}-\frac{15 B \,b^{4}}{8 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{3}}-\frac{15 A b c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{4 a^{\frac{7}{2}}}+\frac{35 A \,b^{3} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{9}{2}}}+\frac{3 B c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{5}{2}}}-\frac{15 B \,b^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{7}{2}}}+\frac{15 A b c}{4 \sqrt{c \,x^{2}+b x +a}\, a^{3}}-\frac{35 A \,b^{3}}{16 \sqrt{c \,x^{2}+b x +a}\, a^{4}}-\frac{3 B c}{2 \sqrt{c \,x^{2}+b x +a}\, a^{2}}+\frac{15 B \,b^{2}}{8 \sqrt{c \,x^{2}+b x +a}\, a^{3}}+\frac{4 A c}{3 \sqrt{c \,x^{2}+b x +a}\, a^{2} x}-\frac{35 A \,b^{2}}{24 \sqrt{c \,x^{2}+b x +a}\, a^{3} x}+\frac{5 B b}{4 \sqrt{c \,x^{2}+b x +a}\, a^{2} x}+\frac{7 A b}{12 \sqrt{c \,x^{2}+b x +a}\, a^{2} x^{2}}-\frac{B}{2 \sqrt{c \,x^{2}+b x +a}\, a \,x^{2}}-\frac{A}{3 \sqrt{c \,x^{2}+b x +a}\, a \,x^{3}}"," ",0,"-1/3*A/a/x^3/(c*x^2+b*x+a)^(1/2)+7/12*A/a^2*b/x^2/(c*x^2+b*x+a)^(1/2)-35/24*A/a^3*b^2/x/(c*x^2+b*x+a)^(1/2)-35/16*A/a^4*b^3/(c*x^2+b*x+a)^(1/2)+35/8*A/a^4*b^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*c*x+35/16*A/a^4*b^5/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+35/16*A/a^(9/2)*b^3*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-115/6*A/a^3*b^2*c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x-115/12*A/a^3*b^3*c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+15/4*A/a^3*b*c/(c*x^2+b*x+a)^(1/2)-15/4*A/a^(7/2)*b*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+4/3*A*c/a^2/x/(c*x^2+b*x+a)^(1/2)+32/3*A*c^3/a^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+16/3*A*c^2/a^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*b-1/2*B/a/x^2/(c*x^2+b*x+a)^(1/2)+5/4*B/a^2*b/x/(c*x^2+b*x+a)^(1/2)+15/8*B/a^3*b^2/(c*x^2+b*x+a)^(1/2)-15/4*B/a^3*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*c*x-15/8*B/a^3*b^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-15/8*B/a^(7/2)*b^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+13*B/a^2*b*c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+13/2*B/a^2*b^2*c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-3/2*B*c/a^2/(c*x^2+b*x+a)^(1/2)+3/2*B*c/a^(5/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)","B"
970,1,1262,263,0.060000," ","int(x^4*(B*x+A)/(c*x^2+b*x+a)^(5/2),x)","\frac{4 A a \,b^{2} x}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c}-\frac{A \,b^{4} x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{32 B \,a^{2} b x}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c}-\frac{38 B a \,b^{3} x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{5 B \,b^{5} x}{6 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{B \,x^{4}}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{2 A a \,b^{3}}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{A a \,b^{2} x}{2 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{A \,b^{5}}{6 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{A \,b^{4} x}{24 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}-\frac{A \,x^{3}}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{16 B \,a^{2} b^{2}}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{4 B \,a^{2} b x}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{19 B a \,b^{4}}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{19 B a \,b^{3} x}{12 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}+\frac{5 B \,b^{6}}{12 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c^{4}}+\frac{5 B \,b^{5} x}{48 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{4}}+\frac{5 B b \,x^{3}}{6 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}+\frac{A a \,b^{3}}{4 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}-\frac{A \,b^{5}}{48 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{4}}+\frac{A \,b^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{A b \,x^{2}}{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}+\frac{2 B \,a^{2} b^{2}}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}-\frac{19 B a \,b^{4}}{24 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{4}}+\frac{4 B a \,x^{2}}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}+\frac{5 B \,b^{6}}{96 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{5}}-\frac{5 B \,b^{3} x}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{5 B \,b^{2} x^{2}}{4 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}+\frac{A \,b^{3}}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{A \,b^{2} x}{8 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}+\frac{B a b x}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}-\frac{5 B \,b^{4}}{4 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{4}}-\frac{5 B \,b^{3} x}{16 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{4}}+\frac{A a b}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}-\frac{A \,b^{3}}{48 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{4}}-\frac{A x}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{8 B \,a^{2}}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}-\frac{B a \,b^{2}}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{4}}+\frac{5 B \,b^{4}}{96 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{5}}+\frac{5 B b x}{2 \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{A \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{5}{2}}}-\frac{5 B b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{7}{2}}}+\frac{A b}{2 \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{5 B \,b^{2}}{4 \sqrt{c \,x^{2}+b x +a}\, c^{4}}"," ",0,"4*B*a^2/c^2*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x-38/3*B*b^3/c^2*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x+1/2*A*b^2/c^2*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x+4*A*b^2/c*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x+32*B*a^2/c*b/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x-19/12*B*b^3/c^3*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x-5/4*B*b^4/c^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+A/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+B*x^4/c/(c*x^2+b*x+a)^(3/2)-1/3*A*x^3/c/(c*x^2+b*x+a)^(3/2)-1/48*A*b^3/c^4/(c*x^2+b*x+a)^(3/2)-A/c^2*x/(c*x^2+b*x+a)^(1/2)+1/2*A/c^3*b/(c*x^2+b*x+a)^(1/2)-1/3*A*b^4/c^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x-1/24*A*b^4/c^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x+5/6*B*b^5/c^3/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x+B*a/c^3*b*x/(c*x^2+b*x+a)^(3/2)+2*B*a^2/c^3*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)-5/2*B*b^3/c^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x-19/24*B*b^4/c^4*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)-19/3*B*b^4/c^3*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)+1/4*A*b^3/c^3*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)+2*A*b^3/c^2*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)+A/c^2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+5/6*B*b/c^2*x^3/(c*x^2+b*x+a)^(3/2)+8/3*B*a^2/c^3/(c*x^2+b*x+a)^(3/2)+5/96*B*b^4/c^5/(c*x^2+b*x+a)^(3/2)-5/4*B*b^2/c^4/(c*x^2+b*x+a)^(1/2)-5/2*B*b/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+16*B*a^2/c^2*b^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)+5/48*B*b^5/c^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x-5/4*B*b^2/c^3*x^2/(c*x^2+b*x+a)^(3/2)+4*B*a/c^2*x^2/(c*x^2+b*x+a)^(3/2)-5/16*B*b^3/c^4*x/(c*x^2+b*x+a)^(3/2)+5/96*B*b^6/c^5/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)+5/12*B*b^6/c^4/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)-B*b^2/c^4*a/(c*x^2+b*x+a)^(3/2)+5/2*B*b/c^3*x/(c*x^2+b*x+a)^(1/2)+1/3*A*b/c^3*a/(c*x^2+b*x+a)^(3/2)+1/8*A*b^2/c^3*x/(c*x^2+b*x+a)^(3/2)-1/48*A*b^5/c^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)-1/6*A*b^5/c^3/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)+1/2*A/c^3*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+1/2*A*b/c^2*x^2/(c*x^2+b*x+a)^(3/2)","B"
971,1,860,173,0.061000," ","int(x^3*(B*x+A)/(c*x^2+b*x+a)^(5/2),x)","-\frac{8 A a b x}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}+\frac{2 A \,b^{3} x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c}+\frac{4 B a \,b^{2} x}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c}-\frac{B \,b^{4} x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{4 A a \,b^{2}}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c}-\frac{A a b x}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{A \,b^{4}}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{A \,b^{3} x}{12 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}+\frac{2 B a \,b^{3}}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{B a \,b^{2} x}{2 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{B \,b^{5}}{6 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{B \,b^{4} x}{24 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}-\frac{B \,x^{3}}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}-\frac{A a \,b^{2}}{2 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}+\frac{A \,b^{4}}{24 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}-\frac{A \,x^{2}}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{B a \,b^{3}}{4 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}-\frac{B \,b^{5}}{48 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{4}}+\frac{B \,b^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{B b \,x^{2}}{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{A b x}{4 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}+\frac{B \,b^{3}}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{B \,b^{2} x}{8 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}-\frac{2 A a}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}+\frac{A \,b^{2}}{24 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}+\frac{B a b}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}-\frac{B \,b^{3}}{48 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{4}}-\frac{B x}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{B \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{5}{2}}}+\frac{B b}{2 \sqrt{c \,x^{2}+b x +a}\, c^{3}}"," ",0,"1/2*B/c^3*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-1/4*A*b/c^2*x/(c*x^2+b*x+a)^(3/2)-4*A*b^2/c*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)+2/3*A*b^3/c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x+4*B*b^2/c*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x-A*b/c*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x+1/2*B*b^2/c^2*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x+1/2*B/c^3*b/(c*x^2+b*x+a)^(1/2)-1/3*B*x^3/c/(c*x^2+b*x+a)^(3/2)-1/48*B*b^3/c^4/(c*x^2+b*x+a)^(3/2)-B/c^2*x/(c*x^2+b*x+a)^(1/2)-A*x^2/c/(c*x^2+b*x+a)^(3/2)-2/3*A*a/c^2/(c*x^2+b*x+a)^(3/2)+1/24*A*b^2/c^3/(c*x^2+b*x+a)^(3/2)+B/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/12*A*b^3/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x+B/c^2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+1/4*B*b^3/c^3*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)+2*B*b^3/c^2*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)+1/8*B*b^2/c^3*x/(c*x^2+b*x+a)^(3/2)+1/2*B*b/c^2*x^2/(c*x^2+b*x+a)^(3/2)+1/24*A*b^4/c^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)+1/3*A*b^4/c^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)-1/2*A*b^2/c^2*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)-8*A*b*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x-1/24*B*b^4/c^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x-1/3*B*b^4/c^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x-1/48*B*b^5/c^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)-1/6*B*b^5/c^3/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)+1/3*B*b/c^3*a/(c*x^2+b*x+a)^(3/2)","B"
972,1,141,86,0.057000," ","int(x^2*(B*x+A)/(c*x^2+b*x+a)^(5/2),x)","\frac{\frac{16}{3} A a \,c^{2} x^{3}+\frac{4}{3} A \,b^{2} c \,x^{3}-8 B a b c \,x^{3}+\frac{2}{3} B \,b^{3} x^{3}+8 A a b c \,x^{2}+2 A \,b^{3} x^{2}-16 B \,a^{2} c \,x^{2}-4 B a \,b^{2} x^{2}+8 A a \,b^{2} x -16 B \,a^{2} b x +\frac{16}{3} A \,a^{2} b -\frac{32}{3} B \,a^{3}}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right)}"," ",0,"2/3/(c*x^2+b*x+a)^(3/2)*(8*A*a*c^2*x^3+2*A*b^2*c*x^3-12*B*a*b*c*x^3+B*b^3*x^3+12*A*a*b*c*x^2+3*A*b^3*x^2-24*B*a^2*c*x^2-6*B*a*b^2*x^2+12*A*a*b^2*x-24*B*a^2*b*x+8*A*a^2*b-16*B*a^3)/(16*a^2*c^2-8*a*b^2*c+b^4)","A"
973,1,138,106,0.051000," ","int(x*(B*x+A)/(c*x^2+b*x+a)^(5/2),x)","-\frac{2 \left(8 A b \,c^{2} x^{3}-8 B a \,c^{2} x^{3}-2 B \,b^{2} c \,x^{3}+12 A \,b^{2} c \,x^{2}-12 B a b c \,x^{2}-3 B \,b^{3} x^{2}+12 A a b c x +3 A \,b^{3} x -12 B a \,b^{2} x +8 A \,a^{2} c +2 A a \,b^{2}-8 B \,a^{2} b \right)}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right)}"," ",0,"-2/3/(c*x^2+b*x+a)^(3/2)*(8*A*b*c^2*x^3-8*B*a*c^2*x^3-2*B*b^2*c*x^3+12*A*b^2*c*x^2-12*B*a*b*c*x^2-3*B*b^3*x^2+12*A*a*b*c*x+3*A*b^3*x-12*B*a*b^2*x+8*A*a^2*c+2*A*a*b^2-8*B*a^2*b)/(16*a^2*c^2-8*a*b^2*c+b^4)","A"
974,1,132,82,0.056000," ","int((B*x+A)/(c*x^2+b*x+a)^(5/2),x)","\frac{\frac{32}{3} A \,c^{3} x^{3}-\frac{16}{3} B b \,c^{2} x^{3}+16 A b \,c^{2} x^{2}-8 B \,b^{2} c \,x^{2}+16 A a \,c^{2} x +4 A \,b^{2} c x -8 B a b c x -2 B \,b^{3} x +8 A a b c -\frac{2}{3} A \,b^{3}-\frac{16}{3} B \,a^{2} c -\frac{4}{3} B a \,b^{2}}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right)}"," ",0,"2/3/(c*x^2+b*x+a)^(3/2)*(16*A*c^3*x^3-8*B*b*c^2*x^3+24*A*b*c^2*x^2-12*B*b^2*c*x^2+24*A*a*c^2*x+6*A*b^2*c*x-12*B*a*b*c*x-3*B*b^3*x+12*A*a*b*c-A*b^3-8*B*a^2*c-2*B*a*b^2)/(16*a^2*c^2-8*a*b^2*c+b^4)","A"
975,1,390,168,0.053000," ","int((B*x+A)/x/(c*x^2+b*x+a)^(5/2),x)","-\frac{16 A b \,c^{2} x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, a}+\frac{32 B \,c^{2} x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}-\frac{8 A \,b^{2} c}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, a}-\frac{2 A b c x}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a}+\frac{16 B b c}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}+\frac{4 B c x}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}-\frac{A \,b^{2}}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a}-\frac{2 A b c x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{2}}+\frac{2 B b}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}-\frac{A \,b^{2}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{2}}+\frac{A}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a}-\frac{A \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{a^{\frac{5}{2}}}+\frac{A}{\sqrt{c \,x^{2}+b x +a}\, a^{2}}"," ",0,"4/3*B/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*c*x+2/3*B/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*b+32/3*B*c^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x+16/3*B*c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*b+1/3*A/a/(c*x^2+b*x+a)^(3/2)-2/3*A/a*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*c*x-1/3*A/a*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)-16/3*A/a*b*c^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x-8/3*A/a*b^2*c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)+A/a^2/(c*x^2+b*x+a)^(1/2)-2*A/a^2*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*c*x-A/a^2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-A/a^(5/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)","B"
976,1,709,266,0.070000," ","int((B*x+A)/x^2/(c*x^2+b*x+a)^(5/2),x)","-\frac{128 A \,c^{3} x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, a}+\frac{40 A \,b^{2} c^{2} x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, a^{2}}-\frac{16 B b \,c^{2} x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, a}-\frac{64 A b \,c^{2}}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, a}-\frac{16 A \,c^{2} x}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a}+\frac{20 A \,b^{3} c}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, a^{2}}+\frac{5 A \,b^{2} c x}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{2}}-\frac{8 B \,b^{2} c}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, a}-\frac{2 B b c x}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a}-\frac{8 A b c}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a}+\frac{5 A \,b^{3}}{6 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{2}}+\frac{5 A \,b^{2} c x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{3}}-\frac{B \,b^{2}}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a}-\frac{2 B b c x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{2}}+\frac{5 A \,b^{3}}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{3}}-\frac{B \,b^{2}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{2}}-\frac{5 A b}{6 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{2}}+\frac{B}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a}+\frac{5 A b \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{7}{2}}}-\frac{B \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{a^{\frac{5}{2}}}-\frac{A}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a x}-\frac{5 A b}{2 \sqrt{c \,x^{2}+b x +a}\, a^{3}}+\frac{B}{\sqrt{c \,x^{2}+b x +a}\, a^{2}}"," ",0,"-A/a/x/(c*x^2+b*x+a)^(3/2)-5/6*A/a^2*b/(c*x^2+b*x+a)^(3/2)+5/3*A/a^2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*c*x+5/6*A/a^2*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)+40/3*A/a^2*b^2*c^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x+20/3*A/a^2*b^3*c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)-5/2*A/a^3*b/(c*x^2+b*x+a)^(1/2)+5*A/a^3*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*c*x+5/2*A/a^3*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+5/2*A/a^(7/2)*b*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-16/3*A*c^2/a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x-8/3*A*c/a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*b-128/3*A*c^3/a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x-64/3*A*c^2/a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*b+1/3*B/a/(c*x^2+b*x+a)^(3/2)-2/3*B/a*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*c*x-1/3*B/a*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)-16/3*B/a*b*c^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x-8/3*B/a*b^2*c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)+B/a^2/(c*x^2+b*x+a)^(1/2)-2*B/a^2*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*c*x-B/a^2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-B/a^(5/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)","B"
977,1,1051,355,0.081000," ","int((B*x+A)/x^3/(c*x^2+b*x+a)^(5/2),x)","\frac{88 A b \,c^{3} x}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, a^{2}}-\frac{70 A \,b^{3} c^{2} x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, a^{3}}-\frac{128 B \,c^{3} x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, a}+\frac{40 B \,b^{2} c^{2} x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, a^{2}}+\frac{44 A \,b^{2} c^{2}}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, a^{2}}+\frac{11 A b \,c^{2} x}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{2}}-\frac{35 A \,b^{4} c}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, a^{3}}-\frac{35 A \,b^{3} c x}{12 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{3}}-\frac{64 B b \,c^{2}}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, a}-\frac{16 B \,c^{2} x}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a}+\frac{20 B \,b^{3} c}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, a^{2}}+\frac{5 B \,b^{2} c x}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{2}}+\frac{11 A \,b^{2} c}{2 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{2}}-\frac{35 A \,b^{4}}{24 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{3}}+\frac{5 A b \,c^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{3}}-\frac{35 A \,b^{3} c x}{4 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{4}}-\frac{8 B b c}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a}+\frac{5 B \,b^{3}}{6 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{2}}+\frac{5 B \,b^{2} c x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{3}}+\frac{5 A \,b^{2} c}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{3}}-\frac{35 A \,b^{4}}{8 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{4}}+\frac{5 B \,b^{3}}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, a^{3}}-\frac{5 A c}{6 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{2}}+\frac{35 A \,b^{2}}{24 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{3}}-\frac{5 B b}{6 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{2}}+\frac{5 A c \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{7}{2}}}-\frac{35 A \,b^{2} \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{9}{2}}}+\frac{5 B b \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{7}{2}}}+\frac{7 A b}{4 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{2} x}-\frac{5 A c}{2 \sqrt{c \,x^{2}+b x +a}\, a^{3}}+\frac{35 A \,b^{2}}{8 \sqrt{c \,x^{2}+b x +a}\, a^{4}}-\frac{B}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a x}-\frac{5 B b}{2 \sqrt{c \,x^{2}+b x +a}\, a^{3}}-\frac{A}{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a \,x^{2}}"," ",0,"-35/8*A/a^(9/2)*b^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-5/6*A*c/a^2/(c*x^2+b*x+a)^(3/2)-5/2*A*c/a^3/(c*x^2+b*x+a)^(1/2)+5/2*A*c/a^(7/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+5/2*B/a^(7/2)*b*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-B/a/x/(c*x^2+b*x+a)^(3/2)-5/6*B/a^2*b/(c*x^2+b*x+a)^(3/2)-5/2*B/a^3*b/(c*x^2+b*x+a)^(1/2)-1/2*A/a/x^2/(c*x^2+b*x+a)^(3/2)+35/24*A/a^3*b^2/(c*x^2+b*x+a)^(3/2)+35/8*A/a^4*b^2/(c*x^2+b*x+a)^(1/2)+5/2*B/a^3*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-70/3*A/a^3*b^3*c^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x-35/4*A/a^4*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*c*x+11*A/a^2*b*c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x+5/3*B/a^2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*c*x+40/3*B/a^2*b^2*c^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x+5*B/a^3*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*c*x+5*A*c^2/a^3*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+88*A/a^2*b*c^3/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x-35/12*A/a^3*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*c*x-35/24*A/a^3*b^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)-35/8*A/a^4*b^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+7/4*A/a^2*b/x/(c*x^2+b*x+a)^(3/2)+5/6*B/a^2*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)-35/3*A/a^3*b^4*c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)+11/2*A/a^2*b^2*c/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)+20/3*B/a^2*b^3*c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)-16/3*B*c^2/a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x+5/2*A*c/a^3*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+44*A/a^2*b^2*c^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)-8/3*B*c/a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*b-128/3*B*c^3/a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x-64/3*B*c^2/a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*b","B"
978,1,288,123,0.062000," ","int((e*x+d)/(c*x^2+b*x+a)^(7/2),x)","-\frac{2 \left(128 b \,c^{4} e \,x^{5}-256 c^{5} d \,x^{5}+320 b^{2} c^{3} e \,x^{4}-640 b \,c^{4} d \,x^{4}+320 a b \,c^{3} e \,x^{3}-640 a \,c^{4} d \,x^{3}+240 b^{3} c^{2} e \,x^{3}-480 b^{2} c^{3} d \,x^{3}+480 a \,b^{2} c^{2} e \,x^{2}-960 a b \,c^{3} d \,x^{2}+40 b^{4} c e \,x^{2}-80 b^{3} c^{2} d \,x^{2}+240 a^{2} b \,c^{2} e x -480 a^{2} c^{3} d x +120 a \,b^{3} c e x -240 a \,b^{2} c^{2} d x -5 b^{5} e x +10 b^{4} c d x +96 a^{3} c^{2} e +48 a^{2} b^{2} c e -240 a^{2} b \,c^{2} d -2 a \,b^{4} e +40 a \,b^{3} c d -3 b^{5} d \right)}{15 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} \left(64 a^{3} c^{3}-48 a^{2} b^{2} c^{2}+12 a \,b^{4} c -b^{6}\right)}"," ",0,"-2/15/(c*x^2+b*x+a)^(5/2)*(128*b*c^4*e*x^5-256*c^5*d*x^5+320*b^2*c^3*e*x^4-640*b*c^4*d*x^4+320*a*b*c^3*e*x^3-640*a*c^4*d*x^3+240*b^3*c^2*e*x^3-480*b^2*c^3*d*x^3+480*a*b^2*c^2*e*x^2-960*a*b*c^3*d*x^2+40*b^4*c*e*x^2-80*b^3*c^2*d*x^2+240*a^2*b*c^2*e*x-480*a^2*c^3*d*x+120*a*b^3*c*e*x-240*a*b^2*c^2*d*x-5*b^5*e*x+10*b^4*c*d*x+96*a^3*c^2*e+48*a^2*b^2*c*e-240*a^2*b*c^2*d-2*a*b^4*e+40*a*b^3*c*d-3*b^5*d)/(64*a^3*c^3-48*a^2*b^2*c^2+12*a*b^4*c-b^6)","B"
979,1,500,165,0.057000," ","int((e*x+d)/(c*x^2+b*x+a)^(9/2),x)","-\frac{2 \left(1024 b \,c^{6} e \,x^{7}-2048 c^{7} d \,x^{7}+3584 b^{2} c^{5} e \,x^{6}-7168 b \,c^{6} d \,x^{6}+3584 a b \,c^{5} e \,x^{5}-7168 a \,c^{6} d \,x^{5}+4480 b^{3} c^{4} e \,x^{5}-8960 b^{2} c^{5} d \,x^{5}+8960 a \,b^{2} c^{4} e \,x^{4}-17920 a b \,c^{5} d \,x^{4}+2240 b^{4} c^{3} e \,x^{4}-4480 b^{3} c^{4} d \,x^{4}+4480 a^{2} b \,c^{4} e \,x^{3}-8960 a^{2} c^{5} d \,x^{3}+6720 a \,b^{3} c^{3} e \,x^{3}-13440 a \,b^{2} c^{4} d \,x^{3}+280 b^{5} c^{2} e \,x^{3}-560 b^{4} c^{3} d \,x^{3}+6720 a^{2} b^{2} c^{3} e \,x^{2}-13440 a^{2} b \,c^{4} d \,x^{2}+1120 a \,b^{4} c^{2} e \,x^{2}-2240 a \,b^{3} c^{3} d \,x^{2}-28 b^{6} c e \,x^{2}+56 b^{5} c^{2} d \,x^{2}+2240 a^{3} b \,c^{3} e x -4480 a^{3} c^{4} d x +1680 a^{2} b^{3} c^{2} e x -3360 a^{2} b^{2} c^{3} d x -140 a \,b^{5} c e x +280 a \,b^{4} c^{2} d x +7 b^{7} e x -14 b^{6} c d x +640 a^{4} c^{3} e +480 a^{3} b^{2} c^{2} e -2240 a^{3} b \,c^{3} d -40 a^{2} b^{4} c e +560 a^{2} b^{3} c^{2} d +2 a \,b^{6} e -84 a \,b^{5} c d +5 b^{7} d \right)}{35 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} \left(256 a^{4} c^{4}-256 a^{3} b^{2} c^{3}+96 a^{2} b^{4} c^{2}-16 a \,b^{6} c +b^{8}\right)}"," ",0,"-2/35/(c*x^2+b*x+a)^(7/2)*(1024*b*c^6*e*x^7-2048*c^7*d*x^7+3584*b^2*c^5*e*x^6-7168*b*c^6*d*x^6+3584*a*b*c^5*e*x^5-7168*a*c^6*d*x^5+4480*b^3*c^4*e*x^5-8960*b^2*c^5*d*x^5+8960*a*b^2*c^4*e*x^4-17920*a*b*c^5*d*x^4+2240*b^4*c^3*e*x^4-4480*b^3*c^4*d*x^4+4480*a^2*b*c^4*e*x^3-8960*a^2*c^5*d*x^3+6720*a*b^3*c^3*e*x^3-13440*a*b^2*c^4*d*x^3+280*b^5*c^2*e*x^3-560*b^4*c^3*d*x^3+6720*a^2*b^2*c^3*e*x^2-13440*a^2*b*c^4*d*x^2+1120*a*b^4*c^2*e*x^2-2240*a*b^3*c^3*d*x^2-28*b^6*c*e*x^2+56*b^5*c^2*d*x^2+2240*a^3*b*c^3*e*x-4480*a^3*c^4*d*x+1680*a^2*b^3*c^2*e*x-3360*a^2*b^2*c^3*d*x-140*a*b^5*c*e*x+280*a*b^4*c^2*d*x+7*b^7*e*x-14*b^6*c*d*x+640*a^4*c^3*e+480*a^3*b^2*c^2*e-2240*a^3*b*c^3*d-40*a^2*b^4*c*e+560*a^2*b^3*c^2*d+2*a*b^6*e-84*a*b^5*c*d+5*b^7*d)/(256*a^4*c^4-256*a^3*b^2*c^3+96*a^2*b^4*c^2-16*a*b^6*c+b^8)","B"
980,1,38,17,0.055000," ","int((-x+1)/x/(x^2+3*x+1)^(1/2),x)","-\arctanh \left(\frac{3 x +2}{2 \sqrt{x^{2}+3 x +1}}\right)-\ln \left(x +\frac{3}{2}+\sqrt{x^{2}+3 x +1}\right)"," ",0,"-ln(x+3/2+(x^2+3*x+1)^(1/2))-arctanh(1/2*(3*x+2)/(x^2+3*x+1)^(1/2))","B"
981,1,42,39,0.050000," ","int(x^(7/2)*(B*x+A)*(c*x^2+b*x+a),x)","\frac{2 \left(429 B c \,x^{3}+495 A c \,x^{2}+495 B b \,x^{2}+585 A b x +585 B a x +715 A a \right) x^{\frac{9}{2}}}{6435}"," ",0,"2/6435*x^(9/2)*(429*B*c*x^3+495*A*c*x^2+495*B*b*x^2+585*A*b*x+585*B*a*x+715*A*a)","A"
982,1,42,39,0.053000," ","int(x^(5/2)*(B*x+A)*(c*x^2+b*x+a),x)","\frac{2 \left(693 B c \,x^{3}+819 A c \,x^{2}+819 B b \,x^{2}+1001 A b x +1001 B a x +1287 A a \right) x^{\frac{7}{2}}}{9009}"," ",0,"2/9009*x^(7/2)*(693*B*c*x^3+819*A*c*x^2+819*B*b*x^2+1001*A*b*x+1001*B*a*x+1287*A*a)","A"
983,1,42,39,0.055000," ","int(x^(3/2)*(B*x+A)*(c*x^2+b*x+a),x)","\frac{2 \left(315 B c \,x^{3}+385 A c \,x^{2}+385 B b \,x^{2}+495 A b x +495 B a x +693 A a \right) x^{\frac{5}{2}}}{3465}"," ",0,"2/3465*x^(5/2)*(315*B*c*x^3+385*A*c*x^2+385*B*b*x^2+495*A*b*x+495*B*a*x+693*A*a)","A"
984,1,42,39,0.053000," ","int((B*x+A)*(c*x^2+b*x+a)*x^(1/2),x)","\frac{2 \left(35 B c \,x^{3}+45 A c \,x^{2}+45 B b \,x^{2}+63 A b x +63 B a x +105 A a \right) x^{\frac{3}{2}}}{315}"," ",0,"2/315*x^(3/2)*(35*B*c*x^3+45*A*c*x^2+45*B*b*x^2+63*A*b*x+63*B*a*x+105*A*a)","A"
985,1,42,39,0.046000," ","int((B*x+A)*(c*x^2+b*x+a)/x^(1/2),x)","\frac{2 \left(15 B c \,x^{3}+21 A c \,x^{2}+21 B b \,x^{2}+35 A b x +35 B a x +105 A a \right) \sqrt{x}}{105}"," ",0,"2/105*x^(1/2)*(15*B*c*x^3+21*A*c*x^2+21*B*b*x^2+35*A*b*x+35*B*a*x+105*A*a)","A"
986,1,42,39,0.058000," ","int((B*x+A)*(c*x^2+b*x+a)/x^(3/2),x)","-\frac{2 \left(-3 B c \,x^{3}-5 A c \,x^{2}-5 B b \,x^{2}-15 A b x -15 B a x +15 A a \right)}{15 \sqrt{x}}"," ",0,"-2/15*(-3*B*c*x^3-5*A*c*x^2-5*B*b*x^2-15*A*b*x-15*B*a*x+15*A*a)/x^(1/2)","A"
987,1,41,39,0.058000," ","int((B*x+A)*(c*x^2+b*x+a)/x^(5/2),x)","-\frac{2 \left(-B c \,x^{3}-3 A c \,x^{2}-3 B b \,x^{2}+3 A b x +3 B a x +A a \right)}{3 x^{\frac{3}{2}}}"," ",0,"-2/3*(-B*c*x^3-3*A*c*x^2-3*B*b*x^2+3*A*b*x+3*B*a*x+A*a)/x^(3/2)","A"
988,1,42,39,0.052000," ","int((B*x+A)*(c*x^2+b*x+a)/x^(7/2),x)","-\frac{2 \left(-15 B c \,x^{3}+15 A c \,x^{2}+15 B b \,x^{2}+5 A b x +5 B a x +3 A a \right)}{15 x^{\frac{5}{2}}}"," ",0,"-2/15*(-15*B*c*x^3+15*A*c*x^2+15*B*b*x^2+5*A*b*x+5*B*a*x+3*A*a)/x^(5/2)","A"
989,1,42,39,0.061000," ","int((B*x+A)*(c*x^2+b*x+a)/x^(9/2),x)","-\frac{2 \left(105 B c \,x^{3}+35 A c \,x^{2}+35 B b \,x^{2}+21 A b x +21 B a x +15 A a \right)}{105 x^{\frac{7}{2}}}"," ",0,"-2/105*(105*B*c*x^3+35*A*c*x^2+35*B*b*x^2+21*A*b*x+21*B*a*x+15*A*a)/x^(7/2)","A"
990,1,102,89,0.056000," ","int(x^(7/2)*(B*x+A)*(c*x^2+b*x+a)^2,x)","\frac{2 \left(109395 B \,c^{2} x^{5}+122265 A \,c^{2} x^{4}+244530 x^{4} b B c +277134 x^{3} A b c +277134 B a c \,x^{3}+138567 B \,b^{2} x^{3}+319770 A a c \,x^{2}+159885 A \,b^{2} x^{2}+319770 B a b \,x^{2}+377910 A a b x +188955 B \,a^{2} x +230945 A \,a^{2}\right) x^{\frac{9}{2}}}{2078505}"," ",0,"2/2078505*x^(9/2)*(109395*B*c^2*x^5+122265*A*c^2*x^4+244530*B*b*c*x^4+277134*A*b*c*x^3+277134*B*a*c*x^3+138567*B*b^2*x^3+319770*A*a*c*x^2+159885*A*b^2*x^2+319770*B*a*b*x^2+377910*A*a*b*x+188955*B*a^2*x+230945*A*a^2)","A"
991,1,102,89,0.051000," ","int(x^(5/2)*(B*x+A)*(c*x^2+b*x+a)^2,x)","\frac{2 \left(45045 B \,c^{2} x^{5}+51051 A \,c^{2} x^{4}+102102 x^{4} b B c +117810 x^{3} A b c +117810 B a c \,x^{3}+58905 B \,b^{2} x^{3}+139230 A a c \,x^{2}+69615 A \,b^{2} x^{2}+139230 B a b \,x^{2}+170170 A a b x +85085 B \,a^{2} x +109395 A \,a^{2}\right) x^{\frac{7}{2}}}{765765}"," ",0,"2/765765*x^(7/2)*(45045*B*c^2*x^5+51051*A*c^2*x^4+102102*B*b*c*x^4+117810*A*b*c*x^3+117810*B*a*c*x^3+58905*B*b^2*x^3+139230*A*a*c*x^2+69615*A*b^2*x^2+139230*B*a*b*x^2+170170*A*a*b*x+85085*B*a^2*x+109395*A*a^2)","A"
992,1,102,89,0.050000," ","int(x^(3/2)*(B*x+A)*(c*x^2+b*x+a)^2,x)","\frac{2 \left(3003 B \,c^{2} x^{5}+3465 A \,c^{2} x^{4}+6930 x^{4} b B c +8190 x^{3} A b c +8190 B a c \,x^{3}+4095 B \,b^{2} x^{3}+10010 A a c \,x^{2}+5005 A \,b^{2} x^{2}+10010 B a b \,x^{2}+12870 A a b x +6435 B \,a^{2} x +9009 A \,a^{2}\right) x^{\frac{5}{2}}}{45045}"," ",0,"2/45045*x^(5/2)*(3003*B*c^2*x^5+3465*A*c^2*x^4+6930*B*b*c*x^4+8190*A*b*c*x^3+8190*B*a*c*x^3+4095*B*b^2*x^3+10010*A*a*c*x^2+5005*A*b^2*x^2+10010*B*a*b*x^2+12870*A*a*b*x+6435*B*a^2*x+9009*A*a^2)","A"
993,1,102,89,0.054000," ","int((B*x+A)*(c*x^2+b*x+a)^2*x^(1/2),x)","\frac{2 \left(3465 B \,c^{2} x^{5}+4095 A \,c^{2} x^{4}+8190 x^{4} b B c +10010 x^{3} A b c +10010 B a c \,x^{3}+5005 B \,b^{2} x^{3}+12870 A a c \,x^{2}+6435 A \,b^{2} x^{2}+12870 B a b \,x^{2}+18018 A a b x +9009 B \,a^{2} x +15015 A \,a^{2}\right) x^{\frac{3}{2}}}{45045}"," ",0,"2/45045*x^(3/2)*(3465*B*c^2*x^5+4095*A*c^2*x^4+8190*B*b*c*x^4+10010*A*b*c*x^3+10010*B*a*c*x^3+5005*B*b^2*x^3+12870*A*a*c*x^2+6435*A*b^2*x^2+12870*B*a*b*x^2+18018*A*a*b*x+9009*B*a^2*x+15015*A*a^2)","A"
994,1,102,89,0.049000," ","int((B*x+A)*(c*x^2+b*x+a)^2/x^(1/2),x)","\frac{2 \left(315 B \,c^{2} x^{5}+385 A \,c^{2} x^{4}+770 x^{4} b B c +990 x^{3} A b c +990 B a c \,x^{3}+495 B \,b^{2} x^{3}+1386 A a c \,x^{2}+693 A \,b^{2} x^{2}+1386 B a b \,x^{2}+2310 A a b x +1155 B \,a^{2} x +3465 A \,a^{2}\right) \sqrt{x}}{3465}"," ",0,"2/3465*x^(1/2)*(315*B*c^2*x^5+385*A*c^2*x^4+770*B*b*c*x^4+990*A*b*c*x^3+990*B*a*c*x^3+495*B*b^2*x^3+1386*A*a*c*x^2+693*A*b^2*x^2+1386*B*a*b*x^2+2310*A*a*b*x+1155*B*a^2*x+3465*A*a^2)","A"
995,1,102,89,0.054000," ","int((B*x+A)*(c*x^2+b*x+a)^2/x^(3/2),x)","-\frac{2 \left(-35 B \,c^{2} x^{5}-45 A \,c^{2} x^{4}-90 x^{4} b B c -126 x^{3} A b c -126 B a c \,x^{3}-63 B \,b^{2} x^{3}-210 A a c \,x^{2}-105 A \,b^{2} x^{2}-210 B a b \,x^{2}-630 A a b x -315 B \,a^{2} x +315 A \,a^{2}\right)}{315 \sqrt{x}}"," ",0,"-2/315*(-35*B*c^2*x^5-45*A*c^2*x^4-90*B*b*c*x^4-126*A*b*c*x^3-126*B*a*c*x^3-63*B*b^2*x^3-210*A*a*c*x^2-105*A*b^2*x^2-210*B*a*b*x^2-630*A*a*b*x-315*B*a^2*x+315*A*a^2)/x^(1/2)","A"
996,1,102,89,0.059000," ","int((B*x+A)*(c*x^2+b*x+a)^2/x^(5/2),x)","-\frac{2 \left(-15 B \,c^{2} x^{5}-21 A \,c^{2} x^{4}-42 x^{4} b B c -70 x^{3} A b c -70 B a c \,x^{3}-35 B \,b^{2} x^{3}-210 A a c \,x^{2}-105 A \,b^{2} x^{2}-210 B a b \,x^{2}+210 A a b x +105 B \,a^{2} x +35 A \,a^{2}\right)}{105 x^{\frac{3}{2}}}"," ",0,"-2/105*(-15*B*c^2*x^5-21*A*c^2*x^4-42*B*b*c*x^4-70*A*b*c*x^3-70*B*a*c*x^3-35*B*b^2*x^3-210*A*a*c*x^2-105*A*b^2*x^2-210*B*a*b*x^2+210*A*a*b*x+105*B*a^2*x+35*A*a^2)/x^(3/2)","A"
997,1,102,89,0.051000," ","int((B*x+A)*(c*x^2+b*x+a)^2/x^(7/2),x)","-\frac{2 \left(-3 B \,c^{2} x^{5}-5 A \,c^{2} x^{4}-10 x^{4} b B c -30 x^{3} A b c -30 B a c \,x^{3}-15 B \,b^{2} x^{3}+30 A a c \,x^{2}+15 A \,b^{2} x^{2}+30 B a b \,x^{2}+10 A a b x +5 B \,a^{2} x +3 A \,a^{2}\right)}{15 x^{\frac{5}{2}}}"," ",0,"-2/15*(-3*B*c^2*x^5-5*A*c^2*x^4-10*B*b*c*x^4-30*A*b*c*x^3-30*B*a*c*x^3-15*B*b^2*x^3+30*A*a*c*x^2+15*A*b^2*x^2+30*B*a*b*x^2+10*A*a*b*x+5*B*a^2*x+3*A*a^2)/x^(5/2)","A"
998,1,102,89,0.052000," ","int((B*x+A)*(c*x^2+b*x+a)^2/x^(9/2),x)","-\frac{2 \left(-35 B \,c^{2} x^{5}-105 A \,c^{2} x^{4}-210 x^{4} b B c +210 x^{3} A b c +210 B a c \,x^{3}+105 B \,b^{2} x^{3}+70 A a c \,x^{2}+35 A \,b^{2} x^{2}+70 B a b \,x^{2}+42 A a b x +21 B \,a^{2} x +15 A \,a^{2}\right)}{105 x^{\frac{7}{2}}}"," ",0,"-2/105*(-35*B*c^2*x^5-105*A*c^2*x^4-210*B*b*c*x^4+210*A*b*c*x^3+210*B*a*c*x^3+105*B*b^2*x^3+70*A*a*c*x^2+35*A*b^2*x^2+70*B*a*b*x^2+42*A*a*b*x+21*B*a^2*x+15*A*a^2)/x^(7/2)","A"
999,1,192,150,0.049000," ","int(x^(7/2)*(B*x+A)*(c*x^2+b*x+a)^3,x)","\frac{2 \left(14549535 B \,c^{3} x^{7}+15935205 A \,c^{3} x^{6}+47805615 x^{6} B b \,c^{2}+52837785 x^{5} A b \,c^{2}+52837785 B a \,c^{2} x^{5}+52837785 x^{5} B \,b^{2} c +59053995 A a \,c^{2} x^{4}+59053995 x^{4} A \,b^{2} c +118107990 x^{4} a b B c +19684665 x^{4} b^{3} B +133855722 x^{3} A a b c +22309287 A \,b^{3} x^{3}+66927861 B \,a^{2} c \,x^{3}+66927861 x^{3} B a \,b^{2}+77224455 A \,a^{2} c \,x^{2}+77224455 x^{2} A a \,b^{2}+77224455 B \,a^{2} b \,x^{2}+91265265 x A \,a^{2} b +30421755 B \,a^{3} x +37182145 A \,a^{3}\right) x^{\frac{9}{2}}}{334639305}"," ",0,"2/334639305*x^(9/2)*(14549535*B*c^3*x^7+15935205*A*c^3*x^6+47805615*B*b*c^2*x^6+52837785*A*b*c^2*x^5+52837785*B*a*c^2*x^5+52837785*B*b^2*c*x^5+59053995*A*a*c^2*x^4+59053995*A*b^2*c*x^4+118107990*B*a*b*c*x^4+19684665*B*b^3*x^4+133855722*A*a*b*c*x^3+22309287*A*b^3*x^3+66927861*B*a^2*c*x^3+66927861*B*a*b^2*x^3+77224455*A*a^2*c*x^2+77224455*A*a*b^2*x^2+77224455*B*a^2*b*x^2+91265265*A*a^2*b*x+30421755*B*a^3*x+37182145*A*a^3)","A"
1000,1,192,150,0.051000," ","int(x^(5/2)*(B*x+A)*(c*x^2+b*x+a)^3,x)","\frac{2 \left(692835 B \,c^{3} x^{7}+765765 A \,c^{3} x^{6}+2297295 x^{6} B b \,c^{2}+2567565 x^{5} A b \,c^{2}+2567565 B a \,c^{2} x^{5}+2567565 x^{5} B \,b^{2} c +2909907 A a \,c^{2} x^{4}+2909907 x^{4} A \,b^{2} c +5819814 x^{4} a b B c +969969 x^{4} b^{3} B +6715170 x^{3} A a b c +1119195 A \,b^{3} x^{3}+3357585 B \,a^{2} c \,x^{3}+3357585 x^{3} B a \,b^{2}+3968055 A \,a^{2} c \,x^{2}+3968055 x^{2} A a \,b^{2}+3968055 B \,a^{2} b \,x^{2}+4849845 x A \,a^{2} b +1616615 B \,a^{3} x +2078505 A \,a^{3}\right) x^{\frac{7}{2}}}{14549535}"," ",0,"2/14549535*x^(7/2)*(692835*B*c^3*x^7+765765*A*c^3*x^6+2297295*B*b*c^2*x^6+2567565*A*b*c^2*x^5+2567565*B*a*c^2*x^5+2567565*B*b^2*c*x^5+2909907*A*a*c^2*x^4+2909907*A*b^2*c*x^4+5819814*B*a*b*c*x^4+969969*B*b^3*x^4+6715170*A*a*b*c*x^3+1119195*A*b^3*x^3+3357585*B*a^2*c*x^3+3357585*B*a*b^2*x^3+3968055*A*a^2*c*x^2+3968055*A*a*b^2*x^2+3968055*B*a^2*b*x^2+4849845*A*a^2*b*x+1616615*B*a^3*x+2078505*A*a^3)","A"
1001,1,192,150,0.054000," ","int(x^(3/2)*(B*x+A)*(c*x^2+b*x+a)^3,x)","\frac{2 \left(255255 B \,c^{3} x^{7}+285285 A \,c^{3} x^{6}+855855 x^{6} B b \,c^{2}+969969 x^{5} A b \,c^{2}+969969 B a \,c^{2} x^{5}+969969 x^{5} B \,b^{2} c +1119195 A a \,c^{2} x^{4}+1119195 x^{4} A \,b^{2} c +2238390 x^{4} a b B c +373065 x^{4} b^{3} B +2645370 x^{3} A a b c +440895 A \,b^{3} x^{3}+1322685 B \,a^{2} c \,x^{3}+1322685 x^{3} B a \,b^{2}+1616615 A \,a^{2} c \,x^{2}+1616615 x^{2} A a \,b^{2}+1616615 B \,a^{2} b \,x^{2}+2078505 x A \,a^{2} b +692835 B \,a^{3} x +969969 A \,a^{3}\right) x^{\frac{5}{2}}}{4849845}"," ",0,"2/4849845*x^(5/2)*(255255*B*c^3*x^7+285285*A*c^3*x^6+855855*B*b*c^2*x^6+969969*A*b*c^2*x^5+969969*B*a*c^2*x^5+969969*B*b^2*c*x^5+1119195*A*a*c^2*x^4+1119195*A*b^2*c*x^4+2238390*B*a*b*c*x^4+373065*B*b^3*x^4+2645370*A*a*b*c*x^3+440895*A*b^3*x^3+1322685*B*a^2*c*x^3+1322685*B*a*b^2*x^3+1616615*A*a^2*c*x^2+1616615*A*a*b^2*x^2+1616615*B*a^2*b*x^2+2078505*A*a^2*b*x+692835*B*a^3*x+969969*A*a^3)","A"
1002,1,192,150,0.054000," ","int((B*x+A)*(c*x^2+b*x+a)^3*x^(1/2),x)","\frac{2 \left(45045 B \,c^{3} x^{7}+51051 A \,c^{3} x^{6}+153153 x^{6} B b \,c^{2}+176715 x^{5} A b \,c^{2}+176715 B a \,c^{2} x^{5}+176715 x^{5} B \,b^{2} c +208845 A a \,c^{2} x^{4}+208845 x^{4} A \,b^{2} c +417690 x^{4} a b B c +69615 x^{4} b^{3} B +510510 x^{3} A a b c +85085 A \,b^{3} x^{3}+255255 B \,a^{2} c \,x^{3}+255255 x^{3} B a \,b^{2}+328185 A \,a^{2} c \,x^{2}+328185 x^{2} A a \,b^{2}+328185 B \,a^{2} b \,x^{2}+459459 x A \,a^{2} b +153153 B \,a^{3} x +255255 A \,a^{3}\right) x^{\frac{3}{2}}}{765765}"," ",0,"2/765765*x^(3/2)*(45045*B*c^3*x^7+51051*A*c^3*x^6+153153*B*b*c^2*x^6+176715*A*b*c^2*x^5+176715*B*a*c^2*x^5+176715*B*b^2*c*x^5+208845*A*a*c^2*x^4+208845*A*b^2*c*x^4+417690*B*a*b*c*x^4+69615*B*b^3*x^4+510510*A*a*b*c*x^3+85085*A*b^3*x^3+255255*B*a^2*c*x^3+255255*B*a*b^2*x^3+328185*A*a^2*c*x^2+328185*A*a*b^2*x^2+328185*B*a^2*b*x^2+459459*A*a^2*b*x+153153*B*a^3*x+255255*A*a^3)","A"
1003,1,192,150,0.054000," ","int((B*x+A)*(c*x^2+b*x+a)^3/x^(1/2),x)","\frac{2 \left(3003 B \,c^{3} x^{7}+3465 A \,c^{3} x^{6}+10395 x^{6} B b \,c^{2}+12285 x^{5} A b \,c^{2}+12285 B a \,c^{2} x^{5}+12285 x^{5} B \,b^{2} c +15015 A a \,c^{2} x^{4}+15015 x^{4} A \,b^{2} c +30030 x^{4} a b B c +5005 x^{4} b^{3} B +38610 x^{3} A a b c +6435 A \,b^{3} x^{3}+19305 B \,a^{2} c \,x^{3}+19305 x^{3} B a \,b^{2}+27027 A \,a^{2} c \,x^{2}+27027 x^{2} A a \,b^{2}+27027 B \,a^{2} b \,x^{2}+45045 x A \,a^{2} b +15015 B \,a^{3} x +45045 A \,a^{3}\right) \sqrt{x}}{45045}"," ",0,"2/45045*x^(1/2)*(3003*B*c^3*x^7+3465*A*c^3*x^6+10395*B*b*c^2*x^6+12285*A*b*c^2*x^5+12285*B*a*c^2*x^5+12285*B*b^2*c*x^5+15015*A*a*c^2*x^4+15015*A*b^2*c*x^4+30030*B*a*b*c*x^4+5005*B*b^3*x^4+38610*A*a*b*c*x^3+6435*A*b^3*x^3+19305*B*a^2*c*x^3+19305*B*a*b^2*x^3+27027*A*a^2*c*x^2+27027*A*a*b^2*x^2+27027*B*a^2*b*x^2+45045*A*a^2*b*x+15015*B*a^3*x+45045*A*a^3)","A"
1004,1,192,150,0.054000," ","int((B*x+A)*(c*x^2+b*x+a)^3/x^(3/2),x)","-\frac{2 \left(-1155 B \,c^{3} x^{7}-1365 A \,c^{3} x^{6}-4095 x^{6} B b \,c^{2}-5005 x^{5} A b \,c^{2}-5005 B a \,c^{2} x^{5}-5005 x^{5} B \,b^{2} c -6435 A a \,c^{2} x^{4}-6435 x^{4} A \,b^{2} c -12870 x^{4} a b B c -2145 x^{4} b^{3} B -18018 x^{3} A a b c -3003 A \,b^{3} x^{3}-9009 B \,a^{2} c \,x^{3}-9009 x^{3} B a \,b^{2}-15015 A \,a^{2} c \,x^{2}-15015 x^{2} A a \,b^{2}-15015 B \,a^{2} b \,x^{2}-45045 x A \,a^{2} b -15015 B \,a^{3} x +15015 A \,a^{3}\right)}{15015 \sqrt{x}}"," ",0,"-2/15015*(-1155*B*c^3*x^7-1365*A*c^3*x^6-4095*B*b*c^2*x^6-5005*A*b*c^2*x^5-5005*B*a*c^2*x^5-5005*B*b^2*c*x^5-6435*A*a*c^2*x^4-6435*A*b^2*c*x^4-12870*B*a*b*c*x^4-2145*B*b^3*x^4-18018*A*a*b*c*x^3-3003*A*b^3*x^3-9009*B*a^2*c*x^3-9009*B*a*b^2*x^3-15015*A*a^2*c*x^2-15015*A*a*b^2*x^2-15015*B*a^2*b*x^2-45045*A*a^2*b*x-15015*B*a^3*x+15015*A*a^3)/x^(1/2)","A"
1005,1,192,150,0.048000," ","int((B*x+A)*(c*x^2+b*x+a)^3/x^(5/2),x)","-\frac{2 \left(-315 B \,c^{3} x^{7}-385 A \,c^{3} x^{6}-1155 x^{6} B b \,c^{2}-1485 x^{5} A b \,c^{2}-1485 B a \,c^{2} x^{5}-1485 x^{5} B \,b^{2} c -2079 A a \,c^{2} x^{4}-2079 x^{4} A \,b^{2} c -4158 x^{4} a b B c -693 x^{4} b^{3} B -6930 x^{3} A a b c -1155 A \,b^{3} x^{3}-3465 B \,a^{2} c \,x^{3}-3465 x^{3} B a \,b^{2}-10395 A \,a^{2} c \,x^{2}-10395 x^{2} A a \,b^{2}-10395 B \,a^{2} b \,x^{2}+10395 x A \,a^{2} b +3465 B \,a^{3} x +1155 A \,a^{3}\right)}{3465 x^{\frac{3}{2}}}"," ",0,"-2/3465*(-315*B*c^3*x^7-385*A*c^3*x^6-1155*B*b*c^2*x^6-1485*A*b*c^2*x^5-1485*B*a*c^2*x^5-1485*B*b^2*c*x^5-2079*A*a*c^2*x^4-2079*A*b^2*c*x^4-4158*B*a*b*c*x^4-693*B*b^3*x^4-6930*A*a*b*c*x^3-1155*A*b^3*x^3-3465*B*a^2*c*x^3-3465*B*a*b^2*x^3-10395*A*a^2*c*x^2-10395*A*a*b^2*x^2-10395*B*a^2*b*x^2+10395*A*a^2*b*x+3465*B*a^3*x+1155*A*a^3)/x^(3/2)","A"
1006,1,192,150,0.053000," ","int((B*x+A)*(c*x^2+b*x+a)^3/x^(7/2),x)","-\frac{2 \left(-35 B \,c^{3} x^{7}-45 A \,c^{3} x^{6}-135 x^{6} B b \,c^{2}-189 x^{5} A b \,c^{2}-189 B a \,c^{2} x^{5}-189 x^{5} B \,b^{2} c -315 A a \,c^{2} x^{4}-315 x^{4} A \,b^{2} c -630 x^{4} a b B c -105 x^{4} b^{3} B -1890 x^{3} A a b c -315 A \,b^{3} x^{3}-945 B \,a^{2} c \,x^{3}-945 x^{3} B a \,b^{2}+945 A \,a^{2} c \,x^{2}+945 x^{2} A a \,b^{2}+945 B \,a^{2} b \,x^{2}+315 x A \,a^{2} b +105 B \,a^{3} x +63 A \,a^{3}\right)}{315 x^{\frac{5}{2}}}"," ",0,"-2/315*(-35*B*c^3*x^7-45*A*c^3*x^6-135*B*b*c^2*x^6-189*A*b*c^2*x^5-189*B*a*c^2*x^5-189*B*b^2*c*x^5-315*A*a*c^2*x^4-315*A*b^2*c*x^4-630*B*a*b*c*x^4-105*B*b^3*x^4-1890*A*a*b*c*x^3-315*A*b^3*x^3-945*B*a^2*c*x^3-945*B*a*b^2*x^3+945*A*a^2*c*x^2+945*A*a*b^2*x^2+945*B*a^2*b*x^2+315*A*a^2*b*x+105*B*a^3*x+63*A*a^3)/x^(5/2)","A"
1007,1,192,150,0.061000," ","int((B*x+A)*(c*x^2+b*x+a)^3/x^(9/2),x)","-\frac{2 \left(-5 B \,c^{3} x^{7}-7 A \,c^{3} x^{6}-21 x^{6} B b \,c^{2}-35 x^{5} A b \,c^{2}-35 B a \,c^{2} x^{5}-35 x^{5} B \,b^{2} c -105 A a \,c^{2} x^{4}-105 x^{4} A \,b^{2} c -210 x^{4} a b B c -35 x^{4} b^{3} B +210 x^{3} A a b c +35 A \,b^{3} x^{3}+105 B \,a^{2} c \,x^{3}+105 x^{3} B a \,b^{2}+35 A \,a^{2} c \,x^{2}+35 x^{2} A a \,b^{2}+35 B \,a^{2} b \,x^{2}+21 x A \,a^{2} b +7 B \,a^{3} x +5 A \,a^{3}\right)}{35 x^{\frac{7}{2}}}"," ",0,"-2/35*(-5*B*c^3*x^7-7*A*c^3*x^6-21*B*b*c^2*x^6-35*A*b*c^2*x^5-35*B*a*c^2*x^5-35*B*b^2*c*x^5-105*A*a*c^2*x^4-105*A*b^2*c*x^4-210*B*a*b*c*x^4-35*B*b^3*x^4+210*A*a*b*c*x^3+35*A*b^3*x^3+105*B*a^2*c*x^3+105*B*a*b^2*x^3+35*A*a^2*c*x^2+35*A*a*b^2*x^2+35*B*a^2*b*x^2+21*A*a^2*b*x+7*B*a^3*x+5*A*a^3)/x^(7/2)","A"
1008,1,192,150,0.058000," ","int((B*x+A)*(c*x^2+b*x+a)^3/x^(11/2),x)","-\frac{2 \left(-63 B \,c^{3} x^{7}-105 A \,c^{3} x^{6}-315 x^{6} B b \,c^{2}-945 x^{5} A b \,c^{2}-945 B a \,c^{2} x^{5}-945 x^{5} B \,b^{2} c +945 A a \,c^{2} x^{4}+945 x^{4} A \,b^{2} c +1890 x^{4} a b B c +315 x^{4} b^{3} B +630 x^{3} A a b c +105 A \,b^{3} x^{3}+315 B \,a^{2} c \,x^{3}+315 x^{3} B a \,b^{2}+189 A \,a^{2} c \,x^{2}+189 x^{2} A a \,b^{2}+189 B \,a^{2} b \,x^{2}+135 x A \,a^{2} b +45 B \,a^{3} x +35 A \,a^{3}\right)}{315 x^{\frac{9}{2}}}"," ",0,"-2/315*(-63*B*c^3*x^7-105*A*c^3*x^6-315*B*b*c^2*x^6-945*A*b*c^2*x^5-945*B*a*c^2*x^5-945*B*b^2*c*x^5+945*A*a*c^2*x^4+945*A*b^2*c*x^4+1890*B*a*b*c*x^4+315*B*b^3*x^4+630*A*a*b*c*x^3+105*A*b^3*x^3+315*B*a^2*c*x^3+315*B*a*b^2*x^3+189*A*a^2*c*x^2+189*A*a*b^2*x^2+189*B*a^2*b*x^2+135*A*a^2*b*x+45*B*a^3*x+35*A*a^3)/x^(9/2)","A"
1009,1,1141,296,0.147000," ","int(x^(5/2)*(B*x+A)/(c*x^2+b*x+a),x)","-\frac{3 \sqrt{2}\, A a b \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{3 \sqrt{2}\, A a b \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}+\frac{\sqrt{2}\, A \,b^{3} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c^{2}}+\frac{\sqrt{2}\, A \,b^{3} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c^{2}}-\frac{2 \sqrt{2}\, B \,a^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{2 \sqrt{2}\, B \,a^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}+\frac{4 \sqrt{2}\, B a \,b^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c^{2}}+\frac{4 \sqrt{2}\, B a \,b^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c^{2}}-\frac{\sqrt{2}\, B \,b^{4} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c^{3}}-\frac{\sqrt{2}\, B \,b^{4} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c^{3}}+\frac{2 B \,x^{\frac{5}{2}}}{5 c}+\frac{\sqrt{2}\, A a \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{\sqrt{2}\, A a \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{\sqrt{2}\, A \,b^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c^{2}}+\frac{\sqrt{2}\, A \,b^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c^{2}}-\frac{2 \sqrt{2}\, B a b \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c^{2}}+\frac{2 \sqrt{2}\, B a b \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c^{2}}+\frac{\sqrt{2}\, B \,b^{3} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c^{3}}-\frac{\sqrt{2}\, B \,b^{3} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c^{3}}+\frac{2 A \,x^{\frac{3}{2}}}{3 c}-\frac{2 B b \,x^{\frac{3}{2}}}{3 c^{2}}-\frac{2 A b \sqrt{x}}{c^{2}}-\frac{2 B a \sqrt{x}}{c^{2}}+\frac{2 B \,b^{2} \sqrt{x}}{c^{3}}"," ",0,"2/5*B/c*x^(5/2)+2/3*A/c*x^(3/2)-2/3/c^2*B*x^(3/2)*b-2/c^2*A*b*x^(1/2)-2*B*a/c^2*x^(1/2)+2/c^3*b^2*B*x^(1/2)-1/c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(c*x^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2))*A*a+1/c^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(c*x^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2))*A*b^2-3/c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(c*x^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2))*a*A*b+1/c^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(c*x^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2))*A*b^3+2/c^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(c*x^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2))*a*b*B-1/c^3*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(c*x^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2))*b^3*B-2/c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(c*x^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2))*a^2*B+4/c^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(c*x^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2))*a*b^2*B-1/c^3/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(c*x^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2))*b^4*B+1/c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*a-1/c^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2-3/c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*A*b+1/c^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^3-2/c^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*b*B+1/c^3*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^3*B-2/c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a^2*B+4/c^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*b^2*B-1/c^3/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^4*B","B"
1010,1,855,228,0.096000," ","int(x^(3/2)*(B*x+A)/(c*x^2+b*x+a),x)","\frac{2 \sqrt{2}\, A a \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{2 \sqrt{2}\, A a \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, A \,b^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{\sqrt{2}\, A \,b^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{3 \sqrt{2}\, B a b \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{3 \sqrt{2}\, B a b \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}+\frac{\sqrt{2}\, B \,b^{3} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c^{2}}+\frac{\sqrt{2}\, B \,b^{3} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c^{2}}+\frac{\sqrt{2}\, A b \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{\sqrt{2}\, A b \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}+\frac{\sqrt{2}\, B a \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{\sqrt{2}\, B a \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{\sqrt{2}\, B \,b^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c^{2}}+\frac{\sqrt{2}\, B \,b^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c^{2}}+\frac{2 B \,x^{\frac{3}{2}}}{3 c}+\frac{2 A \sqrt{x}}{c}-\frac{2 B b \sqrt{x}}{c^{2}}"," ",0,"2/3*B/c*x^(3/2)+2*A/c*x^(1/2)-2/c^2*B*x^(1/2)*b-1/c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b+2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*a-1/c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2-1/c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*B+1/c^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^2*B-3/c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*b*B+1/c^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^3*B+1/c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b+2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*a-1/c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2+1/c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*B-1/c^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^2*B-3/c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*b*B+1/c^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^3*B","B"
1011,1,581,178,0.083000," ","int((B*x+A)*x^(1/2)/(c*x^2+b*x+a),x)","\frac{\sqrt{2}\, A b \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, A b \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{2 \sqrt{2}\, B a \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{2 \sqrt{2}\, B a \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, B \,b^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{\sqrt{2}\, B \,b^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{\sqrt{2}\, A \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, B b \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{\sqrt{2}\, B b \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}+\frac{2 B \sqrt{x}}{c}"," ",0,"2*B/c*x^(1/2)+2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A+1/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b-1/c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b*B+2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*B-1/c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^2*B-2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A+1/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b+1/c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b*B+2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*B-1/c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^2*B","B"
1012,1,337,140,0.107000," ","int((B*x+A)/(c*x^2+b*x+a)/x^(1/2),x)","-\frac{2 \sqrt{2}\, A c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{2 \sqrt{2}\, A c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, B b \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, B b \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, B \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}"," ",0,"-2*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A+2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B+1/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b*B-2*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A-2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B+1/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b*B","B"
1013,1,362,157,0.117000," ","int((B*x+A)/x^(3/2)/(c*x^2+b*x+a),x)","\frac{\sqrt{2}\, A b c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{\sqrt{2}\, A b c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{2 \sqrt{2}\, B c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{2 \sqrt{2}\, B c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, A c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{\sqrt{2}\, A c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{2 A}{a \sqrt{x}}"," ",0,"-c/a*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A+c/a/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b-2*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B+c/a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A+c/a/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b-2*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B-2*A/a/x^(1/2)","B"
1014,1,630,230,0.116000," ","int((B*x+A)/x^(5/2)/(c*x^2+b*x+a),x)","\frac{2 \sqrt{2}\, A \,c^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{2 \sqrt{2}\, A \,c^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{\sqrt{2}\, A \,b^{2} c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}-\frac{\sqrt{2}\, A \,b^{2} c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}+\frac{\sqrt{2}\, B b c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{\sqrt{2}\, B b c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{\sqrt{2}\, A b c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}+\frac{\sqrt{2}\, A b c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}+\frac{\sqrt{2}\, B c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{\sqrt{2}\, B c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{2 A b}{a^{2} \sqrt{x}}-\frac{2 B}{a \sqrt{x}}-\frac{2 A}{3 a \,x^{\frac{3}{2}}}"," ",0,"c/a^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b+2*c^2/a/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A-c/a^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2-c/a*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B+c/a/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b-c/a^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b+2*c^2/a/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A-c/a^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2+c/a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B+c/a/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b-2/3*A/a/x^(3/2)+2/a^2/x^(1/2)*A*b-2*B/a/x^(1/2)","B"
1015,1,913,256,0.096000," ","int((B*x+A)/x^(7/2)/(c*x^2+b*x+a),x)","-\frac{3 \sqrt{2}\, A b \,c^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}-\frac{3 \sqrt{2}\, A b \,c^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}+\frac{\sqrt{2}\, A \,b^{3} c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{3}}+\frac{\sqrt{2}\, A \,b^{3} c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{3}}+\frac{2 \sqrt{2}\, B \,c^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{2 \sqrt{2}\, B \,c^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{\sqrt{2}\, B \,b^{2} c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}-\frac{\sqrt{2}\, B \,b^{2} c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}-\frac{\sqrt{2}\, A \,c^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}+\frac{\sqrt{2}\, A \,c^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}+\frac{\sqrt{2}\, A \,b^{2} c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{3}}-\frac{\sqrt{2}\, A \,b^{2} c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{3}}-\frac{\sqrt{2}\, B b c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}+\frac{\sqrt{2}\, B b c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}+\frac{2 A c}{a^{2} \sqrt{x}}-\frac{2 A \,b^{2}}{a^{3} \sqrt{x}}+\frac{2 B b}{a^{2} \sqrt{x}}+\frac{2 A b}{3 a^{2} x^{\frac{3}{2}}}-\frac{2 B}{3 a \,x^{\frac{3}{2}}}-\frac{2 A}{5 a \,x^{\frac{5}{2}}}"," ",0,"c^2/a^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A-c/a^3*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2-3*c^2/a^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b+c/a^3/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^3+c/a^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b+2*c^2/a/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B-c/a^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^2-c^2/a^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A+c/a^3*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2-3*c^2/a^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b+c/a^3/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^3-c/a^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b+2*c^2/a/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B-c/a^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^2-2/5*A/a/x^(5/2)+2/3/a^2/x^(3/2)*A*b-2/3*B/a/x^(3/2)+2*A/a^2*c/x^(1/2)-2/a^3/x^(1/2)*A*b^2+2/a^2/x^(1/2)*B*b","B"
1016,1,1210,326,0.102000," ","int((B*x+A)/x^(9/2)/(c*x^2+b*x+a),x)","-\frac{2 \sqrt{2}\, A \,c^{3} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}-\frac{2 \sqrt{2}\, A \,c^{3} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}+\frac{4 \sqrt{2}\, A \,b^{2} c^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{3}}+\frac{4 \sqrt{2}\, A \,b^{2} c^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{3}}-\frac{\sqrt{2}\, A \,b^{4} c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{4}}-\frac{\sqrt{2}\, A \,b^{4} c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{4}}-\frac{3 \sqrt{2}\, B b \,c^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}-\frac{3 \sqrt{2}\, B b \,c^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}+\frac{\sqrt{2}\, B \,b^{3} c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{3}}+\frac{\sqrt{2}\, B \,b^{3} c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{3}}+\frac{2 \sqrt{2}\, A b \,c^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{3}}-\frac{2 \sqrt{2}\, A b \,c^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{3}}-\frac{\sqrt{2}\, A \,b^{3} c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{4}}+\frac{\sqrt{2}\, A \,b^{3} c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{4}}-\frac{\sqrt{2}\, B \,c^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}+\frac{\sqrt{2}\, B \,c^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}+\frac{\sqrt{2}\, B \,b^{2} c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{3}}-\frac{\sqrt{2}\, B \,b^{2} c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{3}}-\frac{4 A b c}{a^{3} \sqrt{x}}+\frac{2 A \,b^{3}}{a^{4} \sqrt{x}}+\frac{2 B c}{a^{2} \sqrt{x}}-\frac{2 B \,b^{2}}{a^{3} \sqrt{x}}+\frac{2 A c}{3 a^{2} x^{\frac{3}{2}}}-\frac{2 A \,b^{2}}{3 a^{3} x^{\frac{3}{2}}}+\frac{2 B b}{3 a^{2} x^{\frac{3}{2}}}+\frac{2 A b}{5 a^{2} x^{\frac{5}{2}}}-\frac{2 B}{5 a \,x^{\frac{5}{2}}}-\frac{2 A}{7 a \,x^{\frac{7}{2}}}"," ",0,"-3/a^2*c^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b*B+1/a^3*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^3+4/a^3*c^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2-1/a^4*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^4-3/a^2*c^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b*B+1/a^3*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^3+4/a^3*c^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2-1/a^4*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^4-2/a^2*c^3/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A+1/a^3*c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^2+2/3*A/a^2*c/x^(3/2)-2/7*A/a/x^(7/2)-2/5*B/a/x^(5/2)+1/a^2*c^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B-1/a^2*c^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B+2*B/a^2*c/x^(1/2)-2/3/a^3/x^(3/2)*A*b^2+2/3/a^2/x^(3/2)*B*b+2/a^4/x^(1/2)*A*b^3-2/a^3/x^(1/2)*B*b^2+1/a^4*c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^3-2/a^2*c^3/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A-1/a^3*c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^2+2/a^3*c^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b-1/a^4*c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^3-2/a^3*c^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b+2/5/a^2/x^(5/2)*A*b-4/a^3/x^(1/2)*A*b*c","B"
1017,1,1537,365,0.098000," ","int(x^(5/2)*(B*x+A)/(c*x^2+b*x+a)^2,x)","\frac{4 \sqrt{2}\, A a b \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{4 \sqrt{2}\, A a b \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, A \,b^{3} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{\sqrt{2}\, A \,b^{3} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}+\frac{10 \sqrt{2}\, B \,a^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{10 \sqrt{2}\, B \,a^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{19 \sqrt{2}\, B a \,b^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{19 \sqrt{2}\, B a \,b^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}+\frac{3 \sqrt{2}\, B \,b^{4} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c^{2}}+\frac{3 \sqrt{2}\, B \,b^{4} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c^{2}}-\frac{2 A a \,x^{\frac{3}{2}}}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right)}+\frac{A \,b^{2} x^{\frac{3}{2}}}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c}+\frac{3 B a b \,x^{\frac{3}{2}}}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c}-\frac{B \,b^{3} x^{\frac{3}{2}}}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{2}}-\frac{3 \sqrt{2}\, A a \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, A a \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, A \,b^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{\sqrt{2}\, A \,b^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}+\frac{13 \sqrt{2}\, B a b \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{13 \sqrt{2}\, B a b \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{3 \sqrt{2}\, B \,b^{3} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c^{2}}+\frac{3 \sqrt{2}\, B \,b^{3} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c^{2}}+\frac{A a b \sqrt{x}}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c}+\frac{2 B \,a^{2} \sqrt{x}}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c}-\frac{B a \,b^{2} \sqrt{x}}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{2}}+\frac{2 B \sqrt{x}}{c^{2}}"," ",0,"2*B/c^2*x^(1/2)+3/2/c^2/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^4*B-1/2/c/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^3+13/2/c/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*b*B-1/2/c/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^3+4/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*A*b+4/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*A*b-13/2/c/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*b*B+3/2/c^2/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^4*B+3/c/(c*x^2+b*x+a)/(4*a*c-b^2)*x^(3/2)*a*b*B+1/c/(c*x^2+b*x+a)*a/(4*a*c-b^2)*x^(1/2)*A*b+1/2/c/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2-3/2/c^2/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^3*B-1/2/c/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2+3/2/c^2/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^3*B+2/c/(c*x^2+b*x+a)*a^2/(4*a*c-b^2)*x^(1/2)*B-1/c^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x^(3/2)*b^3*B-3/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*a+3/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*a+1/c/(c*x^2+b*x+a)/(4*a*c-b^2)*x^(3/2)*A*b^2-19/2/c/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*b^2*B-19/2/c/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*b^2*B-2/(c*x^2+b*x+a)/(4*a*c-b^2)*x^(3/2)*A*a+10/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a^2*B+10/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a^2*B-1/c^2/(c*x^2+b*x+a)*a/(4*a*c-b^2)*x^(1/2)*b^2*B","B"
1018,1,1059,282,0.098000," ","int(x^(3/2)*(B*x+A)/(c*x^2+b*x+a)^2,x)","-\frac{2 \sqrt{2}\, A a c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{2 \sqrt{2}\, A a c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, A \,b^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, A \,b^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{4 \sqrt{2}\, B a b \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{4 \sqrt{2}\, B a b \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, B \,b^{3} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{\sqrt{2}\, B \,b^{3} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}+\frac{\sqrt{2}\, A b \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, A b \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{3 \sqrt{2}\, B a \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, B a \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, B \,b^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{\sqrt{2}\, B \,b^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}+\frac{-\frac{\left(2 A c -b B \right) a \sqrt{x}}{\left(4 a c -b^{2}\right) c}-\frac{\left(A b c +2 a B c -b^{2} B \right) x^{\frac{3}{2}}}{\left(4 a c -b^{2}\right) c}}{c \,x^{2}+b x +a}"," ",0,"2*(-1/2*(A*b*c+2*B*a*c-B*b^2)/c/(4*a*c-b^2)*x^(3/2)-1/2*a*(2*A*c-B*b)/(4*a*c-b^2)/c*x^(1/2))/(c*x^2+b*x+a)-1/2/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b-2/(4*a*c-b^2)*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*a-1/2/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2+3/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*B-1/2/(4*a*c-b^2)/c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^2*B+4/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*b*B-1/2/(4*a*c-b^2)/c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^3*B+1/2/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b-2/(4*a*c-b^2)*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*a-1/2/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2-3/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*B+1/2/(4*a*c-b^2)/c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^2*B+4/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*b*B-1/2/(4*a*c-b^2)/c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^3*B","B"
1019,1,755,236,0.094000," ","int((B*x+A)*x^(1/2)/(c*x^2+b*x+a)^2,x)","\frac{2 \sqrt{2}\, A b c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{2 \sqrt{2}\, A b c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{2 \sqrt{2}\, B a c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{2 \sqrt{2}\, B a c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, B \,b^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, B \,b^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, A c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, A c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, B b \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, B b \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\frac{2 \left(2 A c -b B \right) x^{\frac{3}{2}}}{8 a c -2 b^{2}}+\frac{2 \left(A b -2 B a \right) \sqrt{x}}{8 a c -2 b^{2}}}{c \,x^{2}+b x +a}"," ",0,"2*(1/2*(2*A*c-B*b)/(4*a*c-b^2)*x^(3/2)+1/2*(A*b-2*B*a)/(4*a*c-b^2)*x^(1/2))/(c*x^2+b*x+a)+1/(4*a*c-b^2)*c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A+2/(4*a*c-b^2)*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b-1/2/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b*B-2/(4*a*c-b^2)*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*B-1/2/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^2*B-1/(4*a*c-b^2)*c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A+2/(4*a*c-b^2)*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b+1/2/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b*B-2/(4*a*c-b^2)*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*B-1/2/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^2*B","B"
1020,1,1796,260,0.367000," ","int((B*x+A)/(c*x^2+b*x+a)^2/x^(1/2),x)","-\frac{24 \sqrt{2}\, A a \,c^{3} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \left(4 a c +3 b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{24 \sqrt{2}\, A a \,c^{3} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \left(4 a c +3 b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, A \,b^{4} c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \left(4 a c +3 b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{3 \sqrt{2}\, A \,b^{4} c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \left(4 a c +3 b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{16 \sqrt{2}\, A \,b^{2} c^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \left(4 a c +3 b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{16 \sqrt{2}\, A \,b^{2} c^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \left(4 a c +3 b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{8 \sqrt{2}\, B a b \,c^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \left(4 a c +3 b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{8 \sqrt{2}\, B a b \,c^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \left(4 a c +3 b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{6 \sqrt{2}\, B \,b^{3} c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \left(4 a c +3 b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{6 \sqrt{2}\, B \,b^{3} c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \left(4 a c +3 b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, A \,b^{3} c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \left(4 a c +3 b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{3 \sqrt{2}\, A \,b^{3} c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \left(4 a c +3 b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{2 \sqrt{2}\, A b \,c^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \left(4 a c +3 b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{2 \sqrt{2}\, A b \,c^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \left(4 a c +3 b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{4 \sqrt{2}\, B a \,c^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \left(4 a c +3 b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{4 \sqrt{2}\, B a \,c^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \left(4 a c +3 b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{3 \sqrt{2}\, B \,b^{2} c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \left(4 a c +3 b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, B \,b^{2} c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \left(4 a c +3 b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{A b \sqrt{x}}{2 \left(4 a c -b^{2}\right) \left(x +\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right) a}-\frac{A b \sqrt{x}}{2 \left(4 a c -b^{2}\right) \left(x +\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right) a}+\frac{B \sqrt{x}}{\left(4 a c -b^{2}\right) \left(x +\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}+\frac{B \sqrt{x}}{\left(4 a c -b^{2}\right) \left(x +\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}+\frac{\sqrt{-4 a c +b^{2}}\, A \sqrt{x}}{2 \left(4 a c -b^{2}\right) \left(x +\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right) a}-\frac{\sqrt{-4 a c +b^{2}}\, A \sqrt{x}}{2 \left(4 a c -b^{2}\right) \left(x +\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right) a}"," ",0,"1/2/(4*a*c-b^2)*(-4*a*c+b^2)^(1/2)/a*x^(1/2)/(x+1/2/c*(-4*a*c+b^2)^(1/2)+1/2*b/c)*A-1/2/(4*a*c-b^2)/a*x^(1/2)/(x+1/2/c*(-4*a*c+b^2)^(1/2)+1/2*b/c)*A*b+1/(4*a*c-b^2)*x^(1/2)/(x+1/2/c*(-4*a*c+b^2)^(1/2)+1/2*b/c)*B-24*c^3/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)/(4*a*c+3*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*a-16*c^2/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)/(4*a*c+3*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2+3/2*c/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)/a/(4*a*c+3*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^4-2*c^2/(4*a*c-b^2)/(4*a*c+3*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b-3/2*c/(4*a*c-b^2)/a/(4*a*c+3*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^3+4*c^2/(4*a*c-b^2)*a/(4*a*c+3*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B+3*c/(4*a*c-b^2)/(4*a*c+3*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^2+8*c^2/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*a/(4*a*c+3*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b*B+6*c/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)/(4*a*c+3*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^3-1/2/(4*a*c-b^2)*(-4*a*c+b^2)^(1/2)/a*x^(1/2)/(x+1/2*b/c-1/2/c*(-4*a*c+b^2)^(1/2))*A-1/2/(4*a*c-b^2)/a*x^(1/2)/(x+1/2*b/c-1/2/c*(-4*a*c+b^2)^(1/2))*A*b+1/(4*a*c-b^2)*x^(1/2)/(x+1/2*b/c-1/2/c*(-4*a*c+b^2)^(1/2))*B-24*c^3/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)/(4*a*c+3*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*a-16*c^2/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)/(4*a*c+3*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2+3/2*c/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)/a/(4*a*c+3*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^4+2*c^2/(4*a*c-b^2)/(4*a*c+3*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b+3/2*c/(4*a*c-b^2)/a/(4*a*c+3*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^3-4*c^2/(4*a*c-b^2)*a/(4*a*c+3*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B-3*c/(4*a*c-b^2)/(4*a*c+3*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^2+8*c^2/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*a/(4*a*c+3*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b*B+6*c/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)/(4*a*c+3*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^3","B"
1021,1,1273,349,0.104000," ","int((B*x+A)/x^(3/2)/(c*x^2+b*x+a)^2,x)","\frac{8 \sqrt{2}\, A b \,c^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{8 \sqrt{2}\, A b \,c^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{3 \sqrt{2}\, A \,b^{3} c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}-\frac{3 \sqrt{2}\, A \,b^{3} c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}+\frac{\sqrt{2}\, B \,b^{2} c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{\sqrt{2}\, B \,b^{2} c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{6 \sqrt{2}\, B \,c^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{6 \sqrt{2}\, B \,c^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{2 A \,c^{2} x^{\frac{3}{2}}}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a}+\frac{A \,b^{2} c \,x^{\frac{3}{2}}}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a^{2}}-\frac{B b c \,x^{\frac{3}{2}}}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a}+\frac{5 \sqrt{2}\, A \,c^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{5 \sqrt{2}\, A \,c^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{3 \sqrt{2}\, A \,b^{2} c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}+\frac{3 \sqrt{2}\, A \,b^{2} c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}+\frac{\sqrt{2}\, B b c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{\sqrt{2}\, B b c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{3 A b c \sqrt{x}}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a}+\frac{A \,b^{3} \sqrt{x}}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a^{2}}-\frac{B \,b^{2} \sqrt{x}}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a}+\frac{2 B c \sqrt{x}}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right)}-\frac{2 A}{a^{2} \sqrt{x}}"," ",0,"-2/a/(c*x^2+b*x+a)*c^2/(4*a*c-b^2)*x^(3/2)*A+1/a^2/(c*x^2+b*x+a)*c/(4*a*c-b^2)*x^(3/2)*A*b^2-1/a/(c*x^2+b*x+a)*c/(4*a*c-b^2)*x^(3/2)*B*b-3/a/(c*x^2+b*x+a)/(4*a*c-b^2)*x^(1/2)*A*b*c+1/a^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x^(1/2)*A*b^3+2/(c*x^2+b*x+a)/(4*a*c-b^2)*x^(1/2)*B*c-1/a/(c*x^2+b*x+a)/(4*a*c-b^2)*x^(1/2)*B*b^2-5/a*c^2/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A+3/2/a^2*c/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2+8/a*c^2/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b-3/2/a^2*c/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^3-1/2/a*c/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b-6*c^2/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B+1/2/a*c/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^2+5/a*c^2/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A-3/2/a^2*c/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2+8/a*c^2/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b-3/2/a^2*c/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^3+1/2/a*c/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b-6*c^2/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B+1/2/a*c/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^2-2*A/a^2/x^(1/2)","B"
1022,1,1679,457,0.184000," ","int((B*x+A)/x^(5/2)/(c*x^2+b*x+a)^2,x)","\frac{14 \sqrt{2}\, A \,c^{3} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{14 \sqrt{2}\, A \,c^{3} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{29 \sqrt{2}\, A \,b^{2} c^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}-\frac{29 \sqrt{2}\, A \,b^{2} c^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}+\frac{5 \sqrt{2}\, A \,b^{4} c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{3}}+\frac{5 \sqrt{2}\, A \,b^{4} c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{3}}+\frac{8 \sqrt{2}\, B b \,c^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{8 \sqrt{2}\, B b \,c^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{3 \sqrt{2}\, B \,b^{3} c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}-\frac{3 \sqrt{2}\, B \,b^{3} c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}+\frac{3 A b \,c^{2} x^{\frac{3}{2}}}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a^{2}}-\frac{A \,b^{3} c \,x^{\frac{3}{2}}}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a^{3}}-\frac{2 B \,c^{2} x^{\frac{3}{2}}}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a}+\frac{B \,b^{2} c \,x^{\frac{3}{2}}}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a^{2}}-\frac{19 \sqrt{2}\, A b \,c^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}+\frac{19 \sqrt{2}\, A b \,c^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}+\frac{5 \sqrt{2}\, A \,b^{3} c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{3}}-\frac{5 \sqrt{2}\, A \,b^{3} c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{3}}+\frac{5 \sqrt{2}\, B \,c^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{5 \sqrt{2}\, B \,c^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{3 \sqrt{2}\, B \,b^{2} c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}+\frac{3 \sqrt{2}\, B \,b^{2} c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a^{2}}-\frac{2 A \,c^{2} \sqrt{x}}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a}+\frac{4 A \,b^{2} c \sqrt{x}}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a^{2}}-\frac{A \,b^{4} \sqrt{x}}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a^{3}}-\frac{3 B b c \sqrt{x}}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a}+\frac{B \,b^{3} \sqrt{x}}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) a^{2}}+\frac{4 A b}{a^{3} \sqrt{x}}-\frac{2 B}{a^{2} \sqrt{x}}-\frac{2 A}{3 a^{2} x^{\frac{3}{2}}}"," ",0,"8/a*c^2/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b*B+4/a^3/x^(1/2)*A*b+1/a^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x^(1/2)*B*b^3-1/a^3/(c*x^2+b*x+a)/(4*a*c-b^2)*x^(1/2)*A*b^4+14/a*c^3/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A+3/2/a^2*c/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^2-19/2/a^2*c^2/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b+14/a*c^3/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A-2/a/(c*x^2+b*x+a)*c^2/(4*a*c-b^2)*x^(3/2)*B-3/2/a^2*c/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^2-5/2/a^3*c/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^3+5/2/a^3*c/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^3+19/2/a^2*c^2/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b-2*B/a^2/x^(1/2)-2/3*A/a^2/x^(3/2)-2/a/(c*x^2+b*x+a)/(4*a*c-b^2)*x^(1/2)*A*c^2-3/2/a^2*c/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^3-3/2/a^2*c/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^3-29/2/a^2*c^2/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2+8/a*c^2/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b*B-29/2/a^2*c^2/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2+5/2/a^3*c/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^4+5/2/a^3*c/(4*a*c-b^2)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^4-3/a/(c*x^2+b*x+a)/(4*a*c-b^2)*x^(1/2)*b*B*c-1/a^3/(c*x^2+b*x+a)*c/(4*a*c-b^2)*x^(3/2)*A*b^3-5/a*c^2/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B+5/a*c^2/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B+3/a^2/(c*x^2+b*x+a)*c^2/(4*a*c-b^2)*x^(3/2)*A*b+1/a^2/(c*x^2+b*x+a)*c/(4*a*c-b^2)*x^(3/2)*B*b^2+4/a^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x^(1/2)*A*b^2*c","B"
1023,1,2061,476,0.130000," ","int(x^(7/2)*(B*x+A)/(c*x^2+b*x+a)^3,x)","-\frac{5 \sqrt{2}\, A \,a^{2} c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{5 \sqrt{2}\, A \,a^{2} c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{9 \sqrt{2}\, A a \,b^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{9 \sqrt{2}\, A a \,b^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, A \,b^{4} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}+\frac{\sqrt{2}\, A \,b^{4} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}+\frac{33 \sqrt{2}\, B \,a^{2} b \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{33 \sqrt{2}\, B \,a^{2} b \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{33 \sqrt{2}\, B a \,b^{3} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{33 \sqrt{2}\, B a \,b^{3} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}+\frac{3 \sqrt{2}\, B \,b^{5} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c^{2}}+\frac{3 \sqrt{2}\, B \,b^{5} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c^{2}}+\frac{2 \sqrt{2}\, A a b \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{2 \sqrt{2}\, A a b \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, A \,b^{3} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}+\frac{\sqrt{2}\, A \,b^{3} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{21 \sqrt{2}\, B \,a^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{21 \sqrt{2}\, B \,a^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{27 \sqrt{2}\, B a \,b^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{27 \sqrt{2}\, B a \,b^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{3 \sqrt{2}\, B \,b^{4} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c^{2}}+\frac{3 \sqrt{2}\, B \,b^{4} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c^{2}}+\frac{-\frac{\left(16 a A b \,c^{2}-A \,b^{3} c +44 a^{2} B \,c^{2}-37 a \,b^{2} B c +5 b^{4} B \right) x^{\frac{7}{2}}}{4 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c}-\frac{\left(20 A a \,c^{2}+A \,b^{2} c -24 a b B c +3 b^{3} B \right) a^{2} \sqrt{x}}{4 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c^{2}}-\frac{\left(28 a A b \,c^{2}+2 A \,b^{3} c +28 a^{2} B \,c^{2}-49 a \,b^{2} B c +6 b^{4} B \right) a \,x^{\frac{3}{2}}}{4 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c^{2}}-\frac{\left(36 a^{2} A \,c^{3}+5 A a \,b^{2} c^{2}+A \,b^{4} c -4 B \,a^{2} b \,c^{2}-20 B a \,b^{3} c +3 B \,b^{5}\right) x^{\frac{5}{2}}}{4 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c^{2}}}{\left(c \,x^{2}+b x +a \right)^{2}}"," ",0,"2*(-1/8*(16*A*a*b*c^2-A*b^3*c+44*B*a^2*c^2-37*B*a*b^2*c+5*B*b^4)/(16*a^2*c^2-8*a*b^2*c+b^4)/c*x^(7/2)-1/8*(36*A*a^2*c^3+5*A*a*b^2*c^2+A*b^4*c-4*B*a^2*b*c^2-20*B*a*b^3*c+3*B*b^5)/c^2/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(5/2)-1/8*a/c^2*(28*A*a*b*c^2+2*A*b^3*c+28*B*a^2*c^2-49*B*a*b^2*c+6*B*b^4)/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(3/2)-1/8*a^2*(20*A*a*c^2+A*b^2*c-24*B*a*b*c+3*B*b^3)/c^2/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(1/2))/(c*x^2+b*x+a)^2-2/(16*a^2*c^2-8*a*b^2*c+b^4)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*A*b+1/8/c/(16*a^2*c^2-8*a*b^2*c+b^4)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^3-5*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a^2*A-9/4/(16*a^2*c^2-8*a*b^2*c+b^4)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*a*b^2+1/8/c/(16*a^2*c^2-8*a*b^2*c+b^4)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^4+21/2/(16*a^2*c^2-8*a*b^2*c+b^4)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a^2*B-27/8/c/(16*a^2*c^2-8*a*b^2*c+b^4)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*b^2*B+3/8/c^2/(16*a^2*c^2-8*a*b^2*c+b^4)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^4*B+33/2/(16*a^2*c^2-8*a*b^2*c+b^4)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*a^2*b-33/8/c/(16*a^2*c^2-8*a*b^2*c+b^4)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*a*b^3+3/8/c^2/(16*a^2*c^2-8*a*b^2*c+b^4)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^5+2/(16*a^2*c^2-8*a*b^2*c+b^4)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*A*b-1/8/c/(16*a^2*c^2-8*a*b^2*c+b^4)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^3-5*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a^2*A-9/4/(16*a^2*c^2-8*a*b^2*c+b^4)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*a*b^2+1/8/c/(16*a^2*c^2-8*a*b^2*c+b^4)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^4-21/2/(16*a^2*c^2-8*a*b^2*c+b^4)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a^2*B+27/8/c/(16*a^2*c^2-8*a*b^2*c+b^4)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*b^2*B-3/8/c^2/(16*a^2*c^2-8*a*b^2*c+b^4)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^4*B+33/2/(16*a^2*c^2-8*a*b^2*c+b^4)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*a^2*b-33/8/c/(16*a^2*c^2-8*a*b^2*c+b^4)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*a*b^3+3/8/c^2/(16*a^2*c^2-8*a*b^2*c+b^4)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^5","B"
1024,1,1669,407,0.180000," ","int(x^(5/2)*(B*x+A)/(c*x^2+b*x+a)^3,x)","\frac{9 \sqrt{2}\, A a b c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{9 \sqrt{2}\, A a b c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, A \,b^{3} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, A \,b^{3} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{5 \sqrt{2}\, B \,a^{2} c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{5 \sqrt{2}\, B \,a^{2} c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{9 \sqrt{2}\, B a \,b^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{9 \sqrt{2}\, B a \,b^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, B \,b^{4} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}+\frac{\sqrt{2}\, B \,b^{4} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{3 \sqrt{2}\, A a c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, A a c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{3 \sqrt{2}\, A \,b^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, A \,b^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{2 \sqrt{2}\, B a b \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{2 \sqrt{2}\, B a b \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, B \,b^{3} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}+\frac{\sqrt{2}\, B \,b^{3} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}+\frac{\frac{2 \left(12 A a \,c^{2}+3 A \,b^{2} c -16 a b B c +b^{3} B \right) x^{\frac{7}{2}}}{128 a^{2} c^{2}-64 a \,b^{2} c +8 b^{4}}+\frac{\left(12 A b c -20 a B c -b^{2} B \right) a^{2} \sqrt{x}}{4 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c}-\frac{\left(4 A a \,c^{2}-19 A \,b^{2} c +28 a b B c +2 b^{3} B \right) a \,x^{\frac{3}{2}}}{4 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c}+\frac{\left(16 a A b \,c^{2}+5 A \,b^{3} c -36 a^{2} B \,c^{2}-5 a \,b^{2} B c -b^{4} B \right) x^{\frac{5}{2}}}{4 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c}}{\left(c \,x^{2}+b x +a \right)^{2}}"," ",0,"2*(1/8*(12*A*a*c^2+3*A*b^2*c-16*B*a*b*c+B*b^3)/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(7/2)+1/8*(16*A*a*b*c^2+5*A*b^3*c-36*B*a^2*c^2-5*B*a*b^2*c-B*b^4)/c/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(5/2)-1/8*a/c*(4*A*a*c^2-19*A*b^2*c+28*B*a*b*c+2*B*b^3)/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(3/2)+1/8*a^2*(12*A*b*c-20*B*a*c-B*b^2)/c/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(1/2))/(c*x^2+b*x+a)^2+3/2/(16*a^2*c^2-8*a*b^2*c+b^4)*c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*a+3/8/(16*a^2*c^2-8*a*b^2*c+b^4)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2+9/2/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*A*b+3/8/(16*a^2*c^2-8*a*b^2*c+b^4)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^3-2/(16*a^2*c^2-8*a*b^2*c+b^4)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*b*B+1/8/(16*a^2*c^2-8*a*b^2*c+b^4)/c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^3*B-5/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a^2*B-9/4/(16*a^2*c^2-8*a*b^2*c+b^4)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*b^2*B+1/8/(16*a^2*c^2-8*a*b^2*c+b^4)/c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^4*B-3/2/(16*a^2*c^2-8*a*b^2*c+b^4)*c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*a-3/8/(16*a^2*c^2-8*a*b^2*c+b^4)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2+9/2/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*A*b+3/8/(16*a^2*c^2-8*a*b^2*c+b^4)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^3+2/(16*a^2*c^2-8*a*b^2*c+b^4)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*b*B-1/8/(16*a^2*c^2-8*a*b^2*c+b^4)/c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^3*B-5/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a^2*B-9/4/(16*a^2*c^2-8*a*b^2*c+b^4)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*b^2*B+1/8/(16*a^2*c^2-8*a*b^2*c+b^4)/c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^4*B","B"
1025,1,1312,362,0.114000," ","int(x^(3/2)*(B*x+A)/(c*x^2+b*x+a)^3,x)","-\frac{3 \sqrt{2}\, A a \,c^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{3 \sqrt{2}\, A a \,c^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{9 \sqrt{2}\, A \,b^{2} c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{9 \sqrt{2}\, A \,b^{2} c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{9 \sqrt{2}\, B a b c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{9 \sqrt{2}\, B a b c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, B \,b^{3} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, B \,b^{3} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, A b c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{3 \sqrt{2}\, A b c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{3 \sqrt{2}\, B a c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, B a c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{3 \sqrt{2}\, B \,b^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, B \,b^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{-\frac{3 \left(4 A b c -4 a B c -b^{2} B \right) c \,x^{\frac{7}{2}}}{4 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right)}+\frac{2 \left(4 A a \,c^{2}-19 A \,b^{2} c +16 a b B c +5 b^{3} B \right) x^{\frac{5}{2}}}{128 a^{2} c^{2}-64 a \,b^{2} c +8 b^{4}}-\frac{3 \left(4 A a c +A \,b^{2}-4 B a b \right) a \sqrt{x}}{4 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right)}-\frac{\left(16 A a b c +5 A \,b^{3}+4 B \,a^{2} c -19 B a \,b^{2}\right) x^{\frac{3}{2}}}{4 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right)}}{\left(c \,x^{2}+b x +a \right)^{2}}"," ",0,"2*(-3/8*c*(4*A*b*c-4*B*a*c-B*b^2)/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(7/2)+1/8*(4*A*a*c^2-19*A*b^2*c+16*B*a*b*c+5*B*b^3)/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(5/2)-1/8*(16*A*a*b*c+5*A*b^3+4*B*a^2*c-19*B*a*b^2)/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(3/2)-3/8*a*(4*A*a*c+A*b^2-4*B*a*b)/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(1/2))/(c*x^2+b*x+a)^2-3/2/(16*a^2*c^2-8*a*b^2*c+b^4)*c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b-3/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*a-9/4/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2+3/2/(16*a^2*c^2-8*a*b^2*c+b^4)*c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*B+3/8/(16*a^2*c^2-8*a*b^2*c+b^4)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^2*B+9/2/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*b*B+3/8/(16*a^2*c^2-8*a*b^2*c+b^4)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^3*B+3/2/(16*a^2*c^2-8*a*b^2*c+b^4)*c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b-3/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*a-9/4/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2-3/2/(16*a^2*c^2-8*a*b^2*c+b^4)*c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*B-3/8/(16*a^2*c^2-8*a*b^2*c+b^4)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^2*B+9/2/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*a*b*B+3/8/(16*a^2*c^2-8*a*b^2*c+b^4)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b^3*B","B"
1026,1,1364,368,0.109000," ","int((B*x+A)*x^(1/2)/(c*x^2+b*x+a)^3,x)","-\frac{\sqrt{2}\, A \,b^{3} c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{\sqrt{2}\, A \,b^{3} c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{13 \sqrt{2}\, A b \,c^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{13 \sqrt{2}\, A b \,c^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{3 \sqrt{2}\, B a \,c^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{3 \sqrt{2}\, B a \,c^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{9 \sqrt{2}\, B \,b^{2} c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{9 \sqrt{2}\, B \,b^{2} c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, A \,b^{2} c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{\sqrt{2}\, A \,b^{2} c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{8 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{5 \sqrt{2}\, A \,c^{2} \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{5 \sqrt{2}\, A \,c^{2} \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, B b c \arctanh \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{3 \sqrt{2}\, B b c \arctan \left(\frac{\sqrt{2}\, c \sqrt{x}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\frac{\left(20 A a c +A \,b^{2}-12 B a b \right) c^{2} x^{\frac{7}{2}}}{4 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) a}+\frac{\left(28 A a b c +2 A \,b^{3}+4 B \,a^{2} c -19 B a \,b^{2}\right) c \,x^{\frac{5}{2}}}{4 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) a}+\frac{\left(36 a^{2} A \,c^{2}+5 A a \,b^{2} c +A \,b^{4}-16 a^{2} b B c -5 B a \,b^{3}\right) x^{\frac{3}{2}}}{4 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) a}+\frac{2 \left(16 A a b c -A \,b^{3}-12 B \,a^{2} c -3 B a \,b^{2}\right) \sqrt{x}}{128 a^{2} c^{2}-64 a \,b^{2} c +8 b^{4}}}{\left(c \,x^{2}+b x +a \right)^{2}}"," ",0,"2*(1/8*c^2*(20*A*a*c+A*b^2-12*B*a*b)/a/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(7/2)+1/8/a*c*(28*A*a*b*c+2*A*b^3+4*B*a^2*c-19*B*a*b^2)/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(5/2)+1/8*(36*A*a^2*c^2+5*A*a*b^2*c+A*b^4-16*B*a^2*b*c-5*B*a*b^3)/a/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(3/2)+1/8*(16*A*a*b*c-A*b^3-12*B*a^2*c-3*B*a*b^2)/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(1/2))/(c*x^2+b*x+a)^2+5/2/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A+1/8/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2+13/2/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b-1/8/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^3-3/2/(16*a^2*c^2-8*a*b^2*c+b^4)*c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b-3*a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B-9/4/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^2-5/2/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A-1/8/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2+13/2/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b-1/8/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^3+3/2/(16*a^2*c^2-8*a*b^2*c+b^4)*c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b-3*a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B-9/4/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^2","B"
1027,1,11936,416,0.835000," ","int((B*x+A)/(c*x^2+b*x+a)^3/x^(1/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
1028,1,2918,589,0.125000," ","int((B*x+A)/x^(3/2)/(c*x^2+b*x+a)^3,x)","\text{output too large to display}"," ",0,"-3/8/a^2/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^4+93/2/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^3/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b-141/8/a^2/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^3+15/4/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^2-3/8/a^2/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^4+93/2/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^3/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b-141/8/a^2/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^3+15/4/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^2+15/8/a^3/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^5+15/8/a^3/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^5+5/4/a/(c*x^2+b*x+a)^2/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(1/2)*B*b^4-13/a/(c*x^2+b*x+a)^2*c^4/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(7/2)*A-7/4/a^3/(c*x^2+b*x+a)^2/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(3/2)*A*b^6+3/8/a^2/(16*a^2*c^2-8*a*b^2*c+b^4)*c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^3+111/8/a^2/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2+3/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b*B-3/8/a^2/(16*a^2*c^2-8*a*b^2*c+b^4)*c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B*b^3-15/8/a^3/(16*a^2*c^2-8*a*b^2*c+b^4)*c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^4-3/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*b*B-111/8/a^2/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^2+3/4/a^2/(c*x^2+b*x+a)^2/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(3/2)*B*b^5-9/4/a^2/(c*x^2+b*x+a)^2/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(1/2)*A*b^5+11*a/(c*x^2+b*x+a)^2/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(1/2)*B*c^2-1/(c*x^2+b*x+a)^2/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(3/2)*B*b*c^2-37/4/(c*x^2+b*x+a)^2/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(1/2)*B*b^2*c-27/(c*x^2+b*x+a)^2/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(1/2)*A*b*c^2+15/8/a^3/(16*a^2*c^2-8*a*b^2*c+b^4)*c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A*b^4-2*A/a^3/x^(1/2)+7/(c*x^2+b*x+a)^2*c^3/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(5/2)*B-17/(c*x^2+b*x+a)^2/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(3/2)*A*c^3+99/4/a^2/(c*x^2+b*x+a)^2*c^2/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(5/2)*A*b^3-49/4/a/(c*x^2+b*x+a)^2*c^2/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(5/2)*B*b^2+3/2/a^2/(c*x^2+b*x+a)^2*c/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(5/2)*B*b^4-21/(16*a^2*c^2-8*a*b^2*c+b^4)*c^3/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B+3/4/a^2/(c*x^2+b*x+a)^2*c^2/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(7/2)*B*b^3-34/a/(c*x^2+b*x+a)^2*c^3/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(5/2)*A*b-21/(16*a^2*c^2-8*a*b^2*c+b^4)*c^3/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*B-25/4/a/(c*x^2+b*x+a)^2/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(3/2)*A*b^2*c^2+43/4/a^2/(c*x^2+b*x+a)^2/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(3/2)*A*b^4*c-5/a/(c*x^2+b*x+a)^2/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(3/2)*B*b^3*c+45/2/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^3*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A-45/2/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^3*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^(1/2))*A-7/2/a^3/(c*x^2+b*x+a)^2*c/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(5/2)*A*b^5-7/4/a^3/(c*x^2+b*x+a)^2*c^2/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(7/2)*A*b^4+33/2/a/(c*x^2+b*x+a)^2/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(1/2)*A*b^3*c+47/4/a^2/(c*x^2+b*x+a)^2*c^3/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(7/2)*A*b^2-6/a/(c*x^2+b*x+a)^2*c^3/(16*a^2*c^2-8*a*b^2*c+b^4)*x^(7/2)*b*B","B"
1029,1,2884,440,0.157000," ","int((B*x+A)*x^(1/2)*(c*x^2+b*x+a)^(1/2),x)","\text{output too large to display}"," ",0,"1/105*(-8*B*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*b^5-8*B*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*(-4*a*c+b^2)^(1/2)*b^4+14*A*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*b^4*c-84*A*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*a^2*c^3+168*A*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*a^2*c^3+50*B*x^3*a*c^4-2*B*x^3*b^2*c^3+42*A*x^2*a*c^4+14*A*x^2*b^2*c^3-8*B*x^2*b^3*c^2+20*B*x*a^2*c^3+36*B*x^4*b*c^4+56*A*x^3*b*c^4-42*A*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*(-4*a*c+b^2)^(1/2)*a*b*c^2+4*B*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*(-4*a*c+b^2)^(1/2)*a*b^2*c+29*B*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*(-4*a*c+b^2)^(1/2)*a*b^2*c-7*A*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*(-4*a*c+b^2)^(1/2)*a*b*c^2+26*B*x^2*a*b*c^3-12*B*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*a*b^3*c-116*B*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*a^2*b*c^2+21*A*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*a*b^2*c^2+14*A*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*(-4*a*c+b^2)^(1/2)*b^3*c-10*B*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*(-4*a*c+b^2)^(1/2)*a^2*c^2+48*B*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*a^2*b*c^2-98*A*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*a*b^2*c^2+61*B*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*a*b^3*c+30*B*x^5*c^5+42*A*x^4*c^5+14*A*x*a*b*c^3-8*B*x*a*b^2*c^2)/x^(1/2)/(c*x^2+b*x+a)^(1/2)/c^4","B"
1030,1,2012,361,0.150000," ","int((B*x+A)*(c*x^2+b*x+a)^(1/2)/x^(1/2),x)","\frac{6 B \,c^{4} x^{4}+10 A \,c^{4} x^{3}+8 B b \,c^{3} x^{3}+10 A b \,c^{3} x^{2}+6 B a \,c^{3} x^{2}+2 B \,b^{2} c^{2} x^{2}+20 \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, A a b \,c^{2} \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)+10 A a \,c^{3} x -5 \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, A \,b^{3} c \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)+24 \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, B \,a^{2} c^{2} \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-12 \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, B \,a^{2} c^{2} \EllipticF \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-14 \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, B a \,b^{2} c \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)+3 \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, B a \,b^{2} c \EllipticF \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)+2 B a b \,c^{2} x +2 \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, B \,b^{4} \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)+10 \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{-4 a c +b^{2}}\, A a \,c^{2} \EllipticF \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-5 \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{-4 a c +b^{2}}\, A \,b^{2} c \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-6 \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{-4 a c +b^{2}}\, B a b c \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{-4 a c +b^{2}}\, B a b c \EllipticF \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)+2 \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{-4 a c +b^{2}}\, B \,b^{3} \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)}{15 \sqrt{c \,x^{2}+b x +a}\, c^{3} \sqrt{x}}"," ",0,"1/15*(20*A*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*a*b*c^2-5*A*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*b^3*c-5*A*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*(-4*a*c+b^2)^(1/2)*b^2*c+10*A*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*(-4*a*c+b^2)^(1/2)*a*c^2+24*B*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*a^2*c^2-14*B*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*a*b^2*c-6*B*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*(-4*a*c+b^2)^(1/2)*a*b*c+2*B*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*b^4+2*B*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*(-4*a*c+b^2)^(1/2)*b^3-12*B*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*a^2*c^2+3*B*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*a*b^2*c-B*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*(-4*a*c+b^2)^(1/2)*a*b*c+6*B*x^4*c^4+10*A*x^3*c^4+8*B*x^3*b*c^3+10*A*x^2*b*c^3+6*B*x^2*a*c^3+2*B*x^2*b^2*c^2+10*A*x*a*c^3+2*B*x*a*b*c^2)/(c*x^2+b*x+a)^(1/2)/x^(1/2)/c^3","B"
1031,1,1652,329,0.188000," ","int((B*x+A)*(c*x^2+b*x+a)^(1/2)/x^(3/2),x)","-\frac{-2 B \,c^{3} x^{3}+6 A \,c^{3} x^{2}-2 B b \,c^{2} x^{2}-24 \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, A a \,c^{2} \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)+12 \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, A a \,c^{2} \EllipticF \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)+6 \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, A \,b^{2} c \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-3 \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, A \,b^{2} c \EllipticF \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)+6 A b \,c^{2} x -4 \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, B a b c \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-2 B a \,c^{2} x +\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, B \,b^{3} \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)+6 A a \,c^{2}+6 \sqrt{-4 a c +b^{2}}\, \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, A b c \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-3 \sqrt{-4 a c +b^{2}}\, \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, A b c \EllipticF \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-2 \sqrt{-4 a c +b^{2}}\, \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, B a c \EllipticF \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)+\sqrt{-4 a c +b^{2}}\, \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, B \,b^{2} \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)}{3 \sqrt{c \,x^{2}+b x +a}\, c^{2} \sqrt{x}}"," ",0,"-1/3*(12*A*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*a*c^2-3*A*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*b^2*c-3*A*(-4*a*c+b^2)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*b*c-24*A*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*a*c^2+6*A*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*b^2*c+6*A*(-4*a*c+b^2)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*b*c-2*B*(-4*a*c+b^2)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*a*c-4*B*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*a*b*c+B*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*b^3+B*(-4*a*c+b^2)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*b^2-2*B*c^3*x^3+6*A*x^2*c^3-2*B*x^2*b*c^2+6*A*x*b*c^2-2*B*x*a*c^2+6*A*a*c^2)/(c*x^2+b*x+a)^(1/2)/x^(1/2)/c^2","B"
1032,1,1687,345,0.130000," ","int((B*x+A)*(c*x^2+b*x+a)^(1/2)/x^(5/2),x)","\frac{-2 A b \,c^{2} x^{3}-6 B a \,c^{2} x^{3}+4 \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, A a b c x \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-2 A a \,c^{2} x^{2}-\sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, A \,b^{3} x \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-2 A \,b^{2} c \,x^{2}+24 \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, B \,a^{2} c x \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-12 \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, B \,a^{2} c x \EllipticF \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-6 \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, B a \,b^{2} x \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)+3 \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, B a \,b^{2} x \EllipticF \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-6 B a b c \,x^{2}-4 A a b c x +2 \sqrt{-4 a c +b^{2}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, A a c x \EllipticF \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-\sqrt{-4 a c +b^{2}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, A \,b^{2} x \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-6 B \,a^{2} c x -6 \sqrt{-4 a c +b^{2}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, B a b x \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)+3 \sqrt{-4 a c +b^{2}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, B a b x \EllipticF \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-2 A \,a^{2} c}{3 \sqrt{c \,x^{2}+b x +a}\, a c \,x^{\frac{3}{2}}}"," ",0,"1/3*(2*A*(-4*a*c+b^2)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*x*a*c+4*A*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*x*a*b*c-A*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*x*b^3-A*(-4*a*c+b^2)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*x*b^2-12*B*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*x*a^2*c+3*B*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*x*a*b^2+3*B*(-4*a*c+b^2)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*x*a*b+24*B*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*x*a^2*c-6*B*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*x*a*b^2-6*B*(-4*a*c+b^2)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*x*a*b-2*A*b*c^2*x^3-6*B*a*c^2*x^3-2*A*a*c^2*x^2-2*A*b^2*c*x^2-6*B*a*b*c*x^2-4*A*a*b*c*x-6*B*a^2*c*x-2*A*a^2*c)/(c*x^2+b*x+a)^(1/2)/x^(3/2)/a/c","B"
1033,1,2109,403,0.127000," ","int((B*x+A)*(c*x^2+b*x+a)^(1/2)/x^(7/2),x)","\frac{-12 A a \,c^{3} x^{4}+4 A \,b^{2} c^{2} x^{4}-10 B a b \,c^{2} x^{4}+24 \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, A \,a^{2} c^{2} x^{2} \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-12 \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, A \,a^{2} c^{2} x^{2} \EllipticF \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-14 \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, A a \,b^{2} c \,x^{2} \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)+3 \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, A a \,b^{2} c \,x^{2} \EllipticF \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-14 A a b \,c^{2} x^{3}+2 \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, A \,b^{4} x^{2} \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)+4 A \,b^{3} c \,x^{3}+20 \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, B \,a^{2} b c \,x^{2} \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-10 B \,a^{2} c^{2} x^{3}-5 \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, B a \,b^{3} x^{2} \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-10 B a \,b^{2} c \,x^{3}-18 A \,a^{2} c^{2} x^{2}+2 A a \,b^{2} c \,x^{2}-6 \sqrt{-4 a c +b^{2}}\, \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, A a b c \,x^{2} \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-\sqrt{-4 a c +b^{2}}\, \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, A a b c \,x^{2} \EllipticF \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)+2 \sqrt{-4 a c +b^{2}}\, \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, A \,b^{3} x^{2} \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-20 B \,a^{2} b c \,x^{2}+10 \sqrt{-4 a c +b^{2}}\, \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, B \,a^{2} c \,x^{2} \EllipticF \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-5 \sqrt{-4 a c +b^{2}}\, \sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, B a \,b^{2} x^{2} \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-8 A \,a^{2} b c x -10 B \,a^{3} c x -6 A \,a^{3} c}{15 \sqrt{c \,x^{2}+b x +a}\, a^{2} c \,x^{\frac{5}{2}}}"," ",0,"1/15*(-12*A*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*x^2*a^2*c^2+24*A*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*x^2*a^2*c^2-5*B*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*x^2*a*b^3-6*A*a^3*c+2*A*(-4*a*c+b^2)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*x^2*b^3-10*B*x^4*a*b*c^2+4*A*x^4*b^2*c^2+4*A*x^3*b^3*c+3*A*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*x^2*a*b^2*c-14*A*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*x^2*a*b^2*c+10*B*(-4*a*c+b^2)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*x^2*a^2*c-5*B*(-4*a*c+b^2)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*x^2*a*b^2+20*B*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*x^2*a^2*b*c+2*A*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*x^2*b^4-12*A*a*c^3*x^4-14*A*x^3*a*b*c^2-10*B*x^3*a*b^2*c+2*A*x^2*a*b^2*c-20*B*x^2*a^2*b*c-8*A*x*a^2*b*c-10*B*a^3*c*x-18*A*a^2*c^2*x^2-10*B*a^2*c^2*x^3-A*(-4*a*c+b^2)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*x^2*a*b*c-6*A*(-4*a*c+b^2)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*x^2*a*b*c)/(c*x^2+b*x+a)^(1/2)/x^(5/2)/a^2/c","B"
1034,1,137,229,0.076000," ","int((2-5*x)*x^(7/2)*(3*x^2+5*x+2)^(1/2),x)","-\frac{2 \left(22733865 x^{8}+30587382 x^{7}-2015685 x^{6}-8677044 x^{5}-175122 x^{4}+424332 x^{3}+4934772 x^{2}+3143160 x -385912 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+633876 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)\right)}{19702683 \sqrt{3 x^{2}+5 x +2}\, \sqrt{x}}"," ",0,"-2/19702683/x^(1/2)/(3*x^2+5*x+2)^(1/2)*(22733865*x^8+30587382*x^7-2015685*x^6-8677044*x^5+633876*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-385912*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))-175122*x^4+424332*x^3+4934772*x^2+3143160*x)","A"
1035,1,132,212,0.072000," ","int((2-5*x)*x^(5/2)*(3*x^2+5*x+2)^(1/2),x)","\frac{-\frac{30 x^{7}}{11}-\frac{368 x^{6}}{99}+\frac{670 x^{5}}{2079}+\frac{35108 x^{4}}{31185}+\frac{884 x^{3}}{18711}+\frac{195728 x^{2}}{280665}+\frac{26032 x}{56133}-\frac{130892 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)}{2525985}+\frac{65812 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)}{841995}}{\sqrt{x}\, \sqrt{3 x^{2}+5 x +2}}"," ",0,"2/2525985/x^(1/2)/(3*x^2+5*x+2)^(1/2)*(-3444525*x^7-4694760*x^6+407025*x^5+98718*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-65446*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))+1421874*x^4+59670*x^3+880776*x^2+585720*x)","A"
1036,1,127,195,0.071000," ","int((2-5*x)*x^(3/2)*(3*x^2+5*x+2)^(1/2),x)","-\frac{2 \left(25515 x^{6}+35478 x^{5}-4455 x^{4}-11880 x^{3}+8550 x^{2}+6012 x -590 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+768 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)\right)}{15309 \sqrt{3 x^{2}+5 x +2}\, \sqrt{x}}"," ",0,"-2/15309/x^(1/2)/(3*x^2+5*x+2)^(1/2)*(25515*x^6+35478*x^5+768*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-590*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))-4455*x^4-11880*x^3+8550*x^2+6012*x)","A"
1037,1,122,178,0.071000," ","int((2-5*x)*x^(1/2)*(3*x^2+5*x+2)^(1/2),x)","\frac{-\frac{30 x^{5}}{7}-\frac{216 x^{4}}{35}+\frac{86 x^{3}}{63}+\frac{4712 x^{2}}{945}+\frac{328 x}{189}-\frac{1238 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)}{8505}+\frac{418 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)}{2835}}{\sqrt{x}\, \sqrt{3 x^{2}+5 x +2}}"," ",0,"2/8505/x^(1/2)/(3*x^2+5*x+2)^(1/2)*(-18225*x^5+627*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-619*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))-26244*x^4+5805*x^3+21204*x^2+7380*x)","A"
1038,1,117,161,0.071000," ","int((2-5*x)*(3*x^2+5*x+2)^(1/2)/x^(1/2),x)","-\frac{2 \left(243 x^{4}+378 x^{3}+117 x^{2}-18 x -22 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+15 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)\right)}{81 \sqrt{3 x^{2}+5 x +2}\, \sqrt{x}}"," ",0,"-2/81/(3*x^2+5*x+2)^(1/2)/x^(1/2)*(15*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-22*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))+243*x^4+378*x^3+117*x^2-18*x)","A"
1039,1,113,161,0.085000," ","int((2-5*x)*(3*x^2+5*x+2)^(1/2)/x^(3/2),x)","-\frac{270 x^{3}+774 x^{2}+720 x -11 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+3 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+216}{27 \sqrt{3 x^{2}+5 x +2}\, \sqrt{x}}"," ",0,"-1/27*(3*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-11*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))+270*x^3+774*x^2+720*x+216)/(3*x^2+5*x+2)^(1/2)/x^(1/2)","A"
1040,1,115,161,0.081000," ","int((2-5*x)*(3*x^2+5*x+2)^(1/2)/x^(5/2),x)","\frac{180 x^{3}+264 x^{2}-25 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+12 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+60 x -24}{9 \sqrt{3 x^{2}+5 x +2}\, x^{\frac{3}{2}}}"," ",0,"1/9*(12*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x-25*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x+180*x^3+264*x^2+60*x-24)/(3*x^2+5*x+2)^(1/2)/x^(3/2)","A"
1041,1,124,178,0.076000," ","int((2-5*x)*(3*x^2+5*x+2)^(1/2)/x^(7/2),x)","\frac{2502 x^{4}+4890 x^{3}-139 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+87 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+2652 x^{2}+120 x -144}{90 \sqrt{3 x^{2}+5 x +2}\, x^{\frac{5}{2}}}"," ",0,"1/90*(87*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2-139*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2+2502*x^4+4890*x^3+2652*x^2+120*x-144)/(3*x^2+5*x+2)^(1/2)/x^(5/2)","A"
1042,1,129,195,0.077000," ","int((2-5*x)*(3*x^2+5*x+2)^(1/2)/x^(9/2),x)","-\frac{1116 x^{5}+1086 x^{4}-62 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{3} \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+57 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{3} \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)-1194 x^{3}-1380 x^{2}-72 x +144}{126 \sqrt{3 x^{2}+5 x +2}\, x^{\frac{7}{2}}}"," ",0,"-1/126*(57*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^3-62*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^3+1116*x^5+1086*x^4-1194*x^3-1380*x^2-72*x+144)/(3*x^2+5*x+2)^(1/2)/x^(7/2)","A"
1043,1,134,212,0.099000," ","int((2-5*x)*(3*x^2+5*x+2)^(1/2)/x^(11/2),x)","\frac{23958 x^{6}+25710 x^{5}-1331 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{4} \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+1623 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{4} \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+2748 x^{4}+22380 x^{3}+25944 x^{2}+1200 x -3360}{3780 \sqrt{3 x^{2}+5 x +2}\, x^{\frac{9}{2}}}"," ",0,"1/3780*(1623*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^4-1331*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^4+23958*x^6+25710*x^5+2748*x^4+22380*x^3+25944*x^2+1200*x-3360)/(3*x^2+5*x+2)^(1/2)/x^(9/2)","A"
1044,1,142,234,0.077000," ","int((2-5*x)*x^(5/2)*(3*x^2+5*x+2)^(3/2),x)","-\frac{2 \left(295540245 x^{9}+962400285 x^{8}+1012460715 x^{7}+208993365 x^{6}-249969240 x^{5}-112803354 x^{4}+274860 x^{3}-3061836 x^{2}-2778120 x +124456 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+89652 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)\right)}{98513415 \sqrt{3 x^{2}+5 x +2}\, \sqrt{x}}"," ",0,"-2/98513415/x^(1/2)/(3*x^2+5*x+2)^(1/2)*(295540245*x^9+962400285*x^8+1012460715*x^7+208993365*x^6-249969240*x^5+89652*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))+124456*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))-112803354*x^4+274860*x^3-3061836*x^2-2778120*x)","A"
1045,1,137,217,0.061000," ","int((2-5*x)*x^(3/2)*(3*x^2+5*x+2)^(3/2),x)","-\frac{2 \left(7577955 x^{8}+25122069 x^{7}+26969355 x^{6}+5490585 x^{5}-7493958 x^{4}-3514806 x^{3}+273528 x^{2}+229032 x -13778 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+3162 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)\right)}{2189187 \sqrt{3 x^{2}+5 x +2}\, \sqrt{x}}"," ",0,"-2/2189187/x^(1/2)/(3*x^2+5*x+2)^(1/2)*(7577955*x^8+25122069*x^7+26969355*x^6+5490585*x^5+3162*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-13778*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))-7493958*x^4-3514806*x^3+273528*x^2+229032*x)","A"
1046,1,132,200,0.063000," ","int((2-5*x)*(3*x^2+5*x+2)^(3/2)*x^(1/2),x)","\frac{-\frac{90 x^{7}}{11}-\frac{306 x^{6}}{11}-\frac{2370 x^{5}}{77}-\frac{6994 x^{4}}{1155}+\frac{2456 x^{3}}{231}+\frac{7484 x^{2}}{1155}+\frac{72 x}{77}-\frac{212 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)}{3465}+\frac{32 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)}{1155}}{\sqrt{x}\, \sqrt{3 x^{2}+5 x +2}}"," ",0,"2/3465/(3*x^2+5*x+2)^(1/2)/x^(1/2)*(-14175*x^7-48195*x^6-53325*x^5+48*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-106*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))-10491*x^4+18420*x^3+11226*x^2+1620*x)","A"
1047,1,127,183,0.066000," ","int((2-5*x)*(3*x^2+5*x+2)^(3/2)/x^(1/2),x)","-\frac{2 \left(3645 x^{6}+12879 x^{5}+14985 x^{4}+2619 x^{3}-5760 x^{2}-2628 x -215 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+111 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)\right)}{729 \sqrt{3 x^{2}+5 x +2}\, \sqrt{x}}"," ",0,"-2/729/(3*x^2+5*x+2)^(1/2)/x^(1/2)*(3645*x^6+12879*x^5+111*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-215*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))+14985*x^4+2619*x^3-5760*x^2-2628*x)","A"
1048,1,123,183,0.122000," ","int((2-5*x)*(3*x^2+5*x+2)^(3/2)/x^(3/2),x)","-\frac{2 \left(6075 x^{5}+22923 x^{4}+29565 x^{3}+26847 x^{2}+21690 x -1462 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+771 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+7560\right)}{945 \sqrt{3 x^{2}+5 x +2}\, \sqrt{x}}"," ",0,"-2/945*(6075*x^5+771*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-1462*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))+22923*x^4+29565*x^3+26847*x^2+21690*x+7560)/(3*x^2+5*x+2)^(1/2)/x^(1/2)","A"
1049,1,125,183,0.086000," ","int((2-5*x)*(3*x^2+5*x+2)^(3/2)/x^(5/2),x)","\frac{-162 x^{5}-702 x^{4}-1008 x^{3}-660 x^{2}-17 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+9 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)-240 x -48}{9 \sqrt{3 x^{2}+5 x +2}\, x^{\frac{3}{2}}}"," ",0,"1/9*(9*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x-17*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x-162*x^5-702*x^4-1008*x^3-660*x^2-240*x-48)/(3*x^2+5*x+2)^(1/2)/x^(3/2)","A"
1050,1,129,183,0.107000," ","int((2-5*x)*(3*x^2+5*x+2)^(3/2)/x^(7/2),x)","\frac{-1350 x^{5}+3132 x^{4}+7890 x^{3}-709 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+372 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+3072 x^{2}-480 x -144}{45 \sqrt{3 x^{2}+5 x +2}\, x^{\frac{5}{2}}}"," ",0,"1/45*(372*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2-709*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2-1350*x^5+3132*x^4+7890*x^3+3072*x^2-480*x-144)/(3*x^2+5*x+2)^(1/2)/x^(5/2)","A"
1051,1,129,183,0.093000," ","int((2-5*x)*(3*x^2+5*x+2)^(3/2)/x^(9/2),x)","\frac{2538 x^{5}+4794 x^{4}-211 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{3} \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+111 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{3} \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+2608 x^{3}+288 x^{2}-96 x -32}{14 \sqrt{3 x^{2}+5 x +2}\, x^{\frac{7}{2}}}"," ",0,"1/14*(111*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^3-211*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^3+2538*x^5+4794*x^4+2608*x^3+288*x^2-96*x-32)/(3*x^2+5*x+2)^(1/2)/x^(7/2)","A"
1052,1,134,200,0.077000," ","int((2-5*x)*(3*x^2+5*x+2)^(3/2)/x^(11/2),x)","\frac{97884 x^{6}+252330 x^{5}-5438 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{4} \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+2829 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{4} \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+259374 x^{4}+133440 x^{3}+22272 x^{2}-9600 x -3360}{1890 \sqrt{3 x^{2}+5 x +2}\, x^{\frac{9}{2}}}"," ",0,"1/1890*(2829*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^4-5438*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^4+97884*x^6+252330*x^5+259374*x^4+133440*x^3+22272*x^2-9600*x-3360)/(3*x^2+5*x+2)^(1/2)/x^(9/2)","A"
1053,1,139,217,0.087000," ","int((2-5*x)*(3*x^2+5*x+2)^(3/2)/x^(13/2),x)","-\frac{58122 x^{7}+48018 x^{6}-3229 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{5} \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+1545 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{5} \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)-250788 x^{5}-521484 x^{4}-370464 x^{3}-68160 x^{2}+33600 x +12096}{8316 \sqrt{3 x^{2}+5 x +2}\, x^{\frac{11}{2}}}"," ",0,"-1/8316*(1545*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^5-3229*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^5+58122*x^7+48018*x^6-250788*x^5-521484*x^4-370464*x^3-68160*x^2+33600*x+12096)/(3*x^2+5*x+2)^(1/2)/x^(11/2)","A"
1054,1,144,234,0.085000," ","int((2-5*x)*(3*x^2+5*x+2)^(3/2)/x^(15/2),x)","\frac{124326 x^{8}+96420 x^{7}-6907 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{6} \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+2256 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{6} \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)-6294 x^{6}+1083360 x^{5}+2520948 x^{4}+1963200 x^{3}+376320 x^{2}-201600 x -73920}{60060 \sqrt{3 x^{2}+5 x +2}\, x^{\frac{13}{2}}}"," ",0,"1/60060*(2256*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^6-6907*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^6+124326*x^8+96420*x^7-6294*x^6+1083360*x^5+2520948*x^4+1963200*x^3+376320*x^2-201600*x-73920)/(3*x^2+5*x+2)^(1/2)/x^(13/2)","A"
1055,1,538,296,0.119000," ","int((B*x+A)/(e*x)^(1/2)/(c*x^2+b*x+a)^(1/2),x)","\frac{\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}\, \sqrt{\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}\, \sqrt{-\frac{c x}{b +\sqrt{-4 a c +b^{2}}}}\, \left(A b c \EllipticF \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)+4 B a c \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-2 B a c \EllipticF \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-B \,b^{2} \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)+\sqrt{-4 a c +b^{2}}\, A c \EllipticF \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)-\sqrt{-4 a c +b^{2}}\, B b \EllipticE \left(\sqrt{\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}}, \frac{\sqrt{2}\, \sqrt{\frac{b +\sqrt{-4 a c +b^{2}}}{\sqrt{-4 a c +b^{2}}}}}{2}\right)\right)}{\sqrt{c \,x^{2}+b x +a}\, \sqrt{e x}\, c^{2}}"," ",0,"1/(c*x^2+b*x+a)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2)*(-1/(b+(-4*a*c+b^2)^(1/2))*c*x)^(1/2)*(A*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*c*(-4*a*c+b^2)^(1/2)+A*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*c*b-2*B*EllipticF(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*a*c-B*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*(-4*a*c+b^2)^(1/2)*b+4*B*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*a*c-B*EllipticE(((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))^(1/2),1/2*2^(1/2)*((b+(-4*a*c+b^2)^(1/2))/(-4*a*c+b^2)^(1/2))^(1/2))*b^2)/(e*x)^(1/2)/c^2","A"
1056,1,127,207,0.093000," ","int((2-5*x)*x^(7/2)/(3*x^2+5*x+2)^(1/2),x)","\frac{-\frac{10 x^{6}}{9}+\frac{158 x^{5}}{189}-\frac{340 x^{4}}{567}+\frac{2068 x^{3}}{1701}+\frac{41840 x^{2}}{5103}+\frac{22640 x}{5103}-\frac{34460 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)}{45927}+\frac{23140 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)}{15309}}{\sqrt{x}\, \sqrt{3 x^{2}+5 x +2}}"," ",0,"2/45927/x^(1/2)/(3*x^2+5*x+2)^(1/2)*(-25515*x^6+19197*x^5+34710*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-17230*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))-13770*x^4+27918*x^3+188280*x^2+101880*x)","A"
1057,1,122,190,0.150000," ","int((2-5*x)*x^(5/2)/(3*x^2+5*x+2)^(1/2),x)","-\frac{2 \left(6075 x^{5}-5427 x^{4}+5940 x^{3}+35982 x^{2}+18540 x -3422 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+7176 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)\right)}{8505 \sqrt{3 x^{2}+5 x +2}\, \sqrt{x}}"," ",0,"-2/8505/x^(1/2)/(3*x^2+5*x+2)^(1/2)*(6075*x^5+7176*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-3422*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))-5427*x^4+5940*x^3+35982*x^2+18540*x)","A"
1058,1,117,173,0.107000," ","int((2-5*x)*x^(3/2)/(3*x^2+5*x+2)^(1/2),x)","\frac{-2 x^{4}+\frac{22 x^{3}}{9}+\frac{224 x^{2}}{27}+\frac{104 x}{27}-\frac{206 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)}{243}+\frac{154 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)}{81}}{\sqrt{x}\, \sqrt{3 x^{2}+5 x +2}}"," ",0,"2/243/x^(1/2)/(3*x^2+5*x+2)^(1/2)*(231*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-103*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))-243*x^4+297*x^3+1008*x^2+468*x)","A"
1059,1,112,156,0.074000," ","int((2-5*x)*x^(1/2)/(3*x^2+5*x+2)^(1/2),x)","-\frac{2 \left(135 x^{3}+225 x^{2}+90 x -34 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+87 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)\right)}{81 \sqrt{3 x^{2}+5 x +2}\, \sqrt{x}}"," ",0,"-2/81/x^(1/2)/(3*x^2+5*x+2)^(1/2)*(87*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-34*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))+135*x^3+225*x^2+90*x)","A"
1060,1,77,139,0.089000," ","int((2-5*x)/x^(1/2)/(3*x^2+5*x+2)^(1/2),x)","\frac{\sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \left(-5 \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+21 \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)\right)}{9 \sqrt{3 x^{2}+5 x +2}\, \sqrt{x}}"," ",0,"1/9/x^(1/2)/(3*x^2+5*x+2)^(1/2)*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*(21*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-5*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2)))","A"
1061,1,108,156,0.083000," ","int((2-5*x)/x^(3/2)/(3*x^2+5*x+2)^(1/2),x)","-\frac{18 x^{2}+30 x -\sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+8 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+12}{3 \sqrt{3 x^{2}+5 x +2}\, \sqrt{x}}"," ",0,"-1/3*(8*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))+18*x^2+30*x+12)/x^(1/2)/(3*x^2+5*x+2)^(1/2)","A"
1062,1,115,173,0.078000," ","int((2-5*x)/x^(5/2)/(3*x^2+5*x+2)^(1/2),x)","\frac{450 x^{3}+714 x^{2}-25 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+69 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+240 x -24}{18 \sqrt{3 x^{2}+5 x +2}\, x^{\frac{3}{2}}}"," ",0,"1/18*(69*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x-25*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x+450*x^3+714*x^2+240*x-24)/(3*x^2+5*x+2)^(1/2)/x^(3/2)","A"
1063,1,124,190,0.082000," ","int((2-5*x)/x^(7/2)/(3*x^2+5*x+2)^(1/2),x)","-\frac{396 x^{4}+570 x^{3}-22 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+51 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+126 x^{2}-40 x +8}{10 \sqrt{3 x^{2}+5 x +2}\, x^{\frac{5}{2}}}"," ",0,"-1/10*(51*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2-22*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2+396*x^4+570*x^3+126*x^2-40*x+8)/(3*x^2+5*x+2)^(1/2)/x^(5/2)","A"
1064,1,117,195,0.112000," ","int((2-5*x)*x^(7/2)/(3*x^2+5*x+2)^(3/2),x)","\frac{-\frac{2 x^{4}}{3}+\frac{8 x^{3}}{3}+\frac{172 x^{2}}{3}+40 x -4 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+\frac{16 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)}{3}}{\sqrt{x}\, \sqrt{3 x^{2}+5 x +2}}"," ",0,"2/3*(8*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-6*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))-x^4+4*x^3+86*x^2+60*x)/x^(1/2)/(3*x^2+5*x+2)^(1/2)","A"
1065,1,112,178,0.082000," ","int((2-5*x)*x^(5/2)/(3*x^2+5*x+2)^(3/2),x)","-\frac{2 \left(135 x^{3}+7056 x^{2}+5220 x -451 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+483 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)\right)}{243 \sqrt{3 x^{2}+5 x +2}\, \sqrt{x}}"," ",0,"-2/243*(483*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-451*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))+135*x^3+7056*x^2+5220*x)/x^(1/2)/(3*x^2+5*x+2)^(1/2)","A"
1066,1,107,161,0.082000," ","int((2-5*x)*x^(3/2)/(3*x^2+5*x+2)^(3/2),x)","\frac{\frac{190 x^{2}}{3}+\frac{148 x}{3}-\frac{100 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)}{27}+\frac{26 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)}{9}}{\sqrt{x}\, \sqrt{3 x^{2}+5 x +2}}"," ",0,"2/27*(39*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-50*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))+855*x^2+666*x)/x^(1/2)/(3*x^2+5*x+2)^(1/2)","A"
1067,1,107,161,0.122000," ","int((2-5*x)*x^(1/2)/(3*x^2+5*x+2)^(3/2),x)","-\frac{666 x^{2}+540 x -37 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+21 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)}{9 \sqrt{3 x^{2}+5 x +2}\, \sqrt{x}}"," ",0,"-1/9*(21*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-37*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))+666*x^2+540*x)/x^(1/2)/(3*x^2+5*x+2)^(1/2)","A"
1068,1,107,161,0.094000," ","int((2-5*x)/(3*x^2+5*x+2)^(3/2)/x^(1/2),x)","\frac{270 x^{2}+228 x -15 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+8 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)}{3 \sqrt{3 x^{2}+5 x +2}\, \sqrt{x}}"," ",0,"1/3*(8*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-15*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))+270*x^2+228*x)/(3*x^2+5*x+2)^(1/2)/x^(1/2)","A"
1069,1,108,178,0.097000," ","int((2-5*x)/x^(3/2)/(3*x^2+5*x+2)^(3/2),x)","\frac{-234 x^{2}-210 x +13 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)-9 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)-4}{2 \sqrt{3 x^{2}+5 x +2}\, \sqrt{x}}"," ",0,"1/2*(13*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))-9*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-234*x^2-210*x-4)/(3*x^2+5*x+2)^(1/2)/x^(1/2)","A"
1070,1,115,195,0.094000," ","int((2-5*x)/x^(5/2)/(3*x^2+5*x+2)^(3/2),x)","\frac{3060 x^{3}+3030 x^{2}-170 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+165 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+210 x -12}{18 \sqrt{3 x^{2}+5 x +2}\, x^{\frac{3}{2}}}"," ",0,"1/18*(165*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x-170*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x+3060*x^3+3030*x^2+210*x-12)/x^(3/2)/(3*x^2+5*x+2)^(1/2)","A"
1071,1,124,212,0.109000," ","int((2-5*x)/x^(7/2)/(3*x^2+5*x+2)^(3/2),x)","-\frac{48474 x^{4}+52530 x^{3}-2693 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+3369 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+5844 x^{2}-660 x +72}{180 \sqrt{3 x^{2}+5 x +2}\, x^{\frac{5}{2}}}"," ",0,"-1/180*(3369*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2-2693*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2+48474*x^4+52530*x^3+5844*x^2-660*x+72)/x^(5/2)/(3*x^2+5*x+2)^(1/2)","A"
1072,1,312,234,0.120000," ","int((2-5*x)*x^(13/2)/(3*x^2+5*x+2)^(5/2),x)","-\frac{2 \left(54675 x^{7}-212868 x^{6}+788130 x^{5}-26854524 x^{4}-77349420 x^{3}+1140792 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+1328364 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)-67906368 x^{2}+1901320 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+2213940 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)-19002960 x +760528 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+885576 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)\right) \sqrt{3 x^{2}+5 x +2}}{229635 \left(3 x +2\right)^{2} \left(x +1\right)^{2} \sqrt{x}}"," ",0,"-2/229635*(1328364*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2+1140792*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2+54675*x^7+2213940*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x+1901320*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x-212868*x^6+885576*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))+760528*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))+788130*x^5-26854524*x^4-77349420*x^3-67906368*x^2-19002960*x)*(3*x^2+5*x+2)^(1/2)/x^(1/2)/(3*x+2)^2/(x+1)^2","A"
1073,1,307,217,0.088000," ","int((2-5*x)*x^(11/2)/(3*x^2+5*x+2)^(5/2),x)","-\frac{2 \left(729 x^{6}-3726 x^{5}+485622 x^{4}+1269684 x^{3}-25206 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+3438 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+1063224 x^{2}-42010 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+5730 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+288720 x -16804 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+2292 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)\right) \sqrt{3 x^{2}+5 x +2}}{2187 \left(x +1\right)^{2} \left(3 x +2\right)^{2} \sqrt{x}}"," ",0,"-2/2187*(3438*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2-25206*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2+5730*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x-42010*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x+729*x^6+2292*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-16804*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))-3726*x^5+485622*x^4+1269684*x^3+1063224*x^2+288720*x)*(3*x^2+5*x+2)^(1/2)/x^(1/2)/(x+1)^2/(3*x+2)^2","A"
1074,1,302,200,0.090000," ","int((2-5*x)*x^(9/2)/(3*x^2+5*x+2)^(5/2),x)","\frac{2 \sqrt{3 x^{2}+5 x +2}\, \left(-405 x^{5}+240948 x^{4}+612270 x^{3}-13134 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+5472 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+504936 x^{2}-21890 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+9120 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+135720 x -8756 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+3648 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)\right)}{729 \left(x +1\right)^{2} \left(3 x +2\right)^{2} \sqrt{x}}"," ",0,"2/729*(3*x^2+5*x+2)^(1/2)*(5472*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2-13134*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2+9120*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x-21890*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x+3648*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-8756*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))-405*x^5+240948*x^4+612270*x^3+504936*x^2+135720*x)/x^(1/2)/(x+1)^2/(3*x+2)^2","A"
1075,1,297,183,0.085000," ","int((2-5*x)*x^(7/2)/(3*x^2+5*x+2)^(5/2),x)","-\frac{2 \left(108675 x^{4}+273582 x^{3}-6015 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+3015 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+224460 x^{2}-10025 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+5025 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+60120 x -4010 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+2010 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)\right) \sqrt{3 x^{2}+5 x +2}}{243 \left(x +1\right)^{2} \left(3 x +2\right)^{2} \sqrt{x}}"," ",0,"-2/243*(3015*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2-6015*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2+5025*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x-10025*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x+2010*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-4010*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))+108675*x^4+273582*x^3+224460*x^2+60120*x)*(3*x^2+5*x+2)^(1/2)/x^(1/2)/(x+1)^2/(3*x+2)^2","A"
1076,1,297,183,0.091000," ","int((2-5*x)*x^(5/2)/(3*x^2+5*x+2)^(5/2),x)","\frac{2 \left(46764 x^{4}+117405 x^{3}-2598 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+1359 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+96192 x^{2}-4330 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+2265 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+25740 x -1732 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+906 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)\right) \sqrt{3 x^{2}+5 x +2}}{81 \left(x +1\right)^{2} \left(3 x +2\right)^{2} \sqrt{x}}"," ",0,"2/81*(1359*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2-2598*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2+2265*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x-4330*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x+906*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-1732*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))+46764*x^4+117405*x^3+96192*x^2+25740*x)*(3*x^2+5*x+2)^(1/2)/x^(1/2)/(x+1)^2/(3*x+2)^2","A"
1077,1,297,183,0.131000," ","int((2-5*x)*x^(3/2)/(3*x^2+5*x+2)^(5/2),x)","-\frac{\left(39150 x^{4}+98208 x^{3}-2175 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+1143 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+80460 x^{2}-3625 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+1905 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+21528 x -1450 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+762 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)\right) \sqrt{3 x^{2}+5 x +2}}{27 \left(x +1\right)^{2} \left(3 x +2\right)^{2} \sqrt{x}}"," ",0,"-1/27*(1143*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2-2175*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2+1905*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x-3625*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x+762*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-1450*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))+39150*x^4+98208*x^3+80460*x^2+21528*x)*(3*x^2+5*x+2)^(1/2)/x^(1/2)/(x+1)^2/(3*x+2)^2","A"
1078,1,297,183,0.092000," ","int((2-5*x)*x^(1/2)/(3*x^2+5*x+2)^(5/2),x)","\frac{\left(5346 x^{4}+13410 x^{3}-297 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+156 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+10990 x^{2}-495 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+260 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+2940 x -198 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+104 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)\right) \sqrt{3 x^{2}+5 x +2}}{3 \left(x +1\right)^{2} \left(3 x +2\right)^{2} \sqrt{x}}"," ",0,"1/3*(156*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2-297*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2+260*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x-495*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x+104*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-198*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))+5346*x^4+13410*x^3+10990*x^2+2940*x)*(3*x^2+5*x+2)^(1/2)/x^(1/2)/(x+1)^2/(3*x+2)^2","A"
1079,1,297,183,0.106000," ","int((2-5*x)/(3*x^2+5*x+2)^(5/2)/x^(1/2),x)","-\frac{\left(38610 x^{4}+96840 x^{3}-2145 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+1125 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+79350 x^{2}-3575 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+1875 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+21204 x -1430 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+750 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)\right) \sqrt{3 x^{2}+5 x +2}}{18 \left(x +1\right)^{2} \left(3 x +2\right)^{2} \sqrt{x}}"," ",0,"-1/18*(1125*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2-2145*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2+1875*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x-3575*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x+750*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-1430*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))+38610*x^4+96840*x^3+79350*x^2+21204*x)*(3*x^2+5*x+2)^(1/2)/x^(1/2)/(x+1)^2/(3*x+2)^2","A"
1080,1,298,200,0.101000," ","int((2-5*x)/x^(3/2)/(3*x^2+5*x+2)^(5/2),x)","\frac{45252 x^{4}+113310 x^{3}-2514 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+1287 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+92580 x^{2}-4190 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+2145 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+24570 x -1676 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+858 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)-36}{18 \left(x +1\right) \left(3 x +2\right) \sqrt{3 x^{2}+5 x +2}\, \sqrt{x}}"," ",0,"1/18*(1287*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2-2514*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2+2145*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x-4190*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x+858*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))-1676*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))+45252*x^4+113310*x^3+92580*x^2+24570*x-36)/(x+1)/(3*x+2)/x^(1/2)/(3*x^2+5*x+2)^(1/2)","A"
1081,1,309,217,0.103000," ","int((2-5*x)/x^(5/2)/(3*x^2+5*x+2)^(5/2),x)","-\frac{33750 x^{5}+83880 x^{4}-1875 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{3} \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+855 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{3} \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+67650 x^{3}-3125 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+1425 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+17388 x^{2}-1250 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+570 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)-180 x +8}{12 \left(x +1\right) \left(3 x +2\right) \sqrt{3 x^{2}+5 x +2}\, x^{\frac{3}{2}}}"," ",0,"-1/12/x^(3/2)*(855*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^3-1875*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^3+1425*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2-3125*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2+570*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x-1250*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x+33750*x^5+83880*x^4+67650*x^3+17388*x^2-180*x+8)/(x+1)/(3*x+2)/(3*x^2+5*x+2)^(1/2)","A"
1082,1,318,234,0.099000," ","int((2-5*x)/x^(7/2)/(3*x^2+5*x+2)^(5/2),x)","\frac{514134 x^{6}+1245870 x^{5}-28563 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{4} \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+7704 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{4} \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+959610 x^{4}-47605 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{3} \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+12840 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{3} \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+217350 x^{3}-19042 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticE \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)+5136 \sqrt{6 x +4}\, \sqrt{3 x +3}\, \sqrt{6}\, \sqrt{-x}\, x^{2} \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, i \sqrt{2}\right)-10512 x^{2}+780 x -72}{180 \left(x +1\right) \left(3 x +2\right) \sqrt{3 x^{2}+5 x +2}\, x^{\frac{5}{2}}}"," ",0,"1/180/x^(5/2)*(7704*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^4-28563*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^4+12840*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^3-47605*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^3+5136*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticF(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2-19042*(6*x+4)^(1/2)*(3*x+3)^(1/2)*6^(1/2)*(-x)^(1/2)*EllipticE(1/2*(6*x+4)^(1/2),I*2^(1/2))*x^2+514134*x^6+1245870*x^5+959610*x^4+217350*x^3-10512*x^2+780*x-72)/(x+1)/(3*x+2)/(3*x^2+5*x+2)^(1/2)","A"
1083,1,1903,240,0.051000," ","int((e*x)^m*(B*x+A)*(c*x^2+b*x+a)^3,x)","\frac{\left(B \,c^{3} m^{7} x^{7}+A \,c^{3} m^{7} x^{6}+3 B b \,c^{2} m^{7} x^{6}+28 B \,c^{3} m^{6} x^{7}+3 A b \,c^{2} m^{7} x^{5}+29 A \,c^{3} m^{6} x^{6}+3 B a \,c^{2} m^{7} x^{5}+3 B \,b^{2} c \,m^{7} x^{5}+87 B b \,c^{2} m^{6} x^{6}+322 B \,c^{3} m^{5} x^{7}+3 A a \,c^{2} m^{7} x^{4}+3 A \,b^{2} c \,m^{7} x^{4}+90 A b \,c^{2} m^{6} x^{5}+343 A \,c^{3} m^{5} x^{6}+6 B a b c \,m^{7} x^{4}+90 B a \,c^{2} m^{6} x^{5}+B \,b^{3} m^{7} x^{4}+90 B \,b^{2} c \,m^{6} x^{5}+1029 B b \,c^{2} m^{5} x^{6}+1960 B \,c^{3} m^{4} x^{7}+6 A a b c \,m^{7} x^{3}+93 A a \,c^{2} m^{6} x^{4}+A \,b^{3} m^{7} x^{3}+93 A \,b^{2} c \,m^{6} x^{4}+1098 A b \,c^{2} m^{5} x^{5}+2135 A \,c^{3} m^{4} x^{6}+3 B \,a^{2} c \,m^{7} x^{3}+3 B a \,b^{2} m^{7} x^{3}+186 B a b c \,m^{6} x^{4}+1098 B a \,c^{2} m^{5} x^{5}+31 B \,b^{3} m^{6} x^{4}+1098 B \,b^{2} c \,m^{5} x^{5}+6405 B b \,c^{2} m^{4} x^{6}+6769 B \,c^{3} m^{3} x^{7}+3 A \,a^{2} c \,m^{7} x^{2}+3 A a \,b^{2} m^{7} x^{2}+192 A a b c \,m^{6} x^{3}+1173 A a \,c^{2} m^{5} x^{4}+32 A \,b^{3} m^{6} x^{3}+1173 A \,b^{2} c \,m^{5} x^{4}+7020 A b \,c^{2} m^{4} x^{5}+7504 A \,c^{3} m^{3} x^{6}+3 B \,a^{2} b \,m^{7} x^{2}+96 B \,a^{2} c \,m^{6} x^{3}+96 B a \,b^{2} m^{6} x^{3}+2346 B a b c \,m^{5} x^{4}+7020 B a \,c^{2} m^{4} x^{5}+391 B \,b^{3} m^{5} x^{4}+7020 B \,b^{2} c \,m^{4} x^{5}+22512 B b \,c^{2} m^{3} x^{6}+13132 B \,c^{3} m^{2} x^{7}+3 A \,a^{2} b \,m^{7} x +99 A \,a^{2} c \,m^{6} x^{2}+99 A a \,b^{2} m^{6} x^{2}+2508 A a b c \,m^{5} x^{3}+7743 A a \,c^{2} m^{4} x^{4}+418 A \,b^{3} m^{5} x^{3}+7743 A \,b^{2} c \,m^{4} x^{4}+25227 A b \,c^{2} m^{3} x^{5}+14756 A \,c^{3} m^{2} x^{6}+B \,a^{3} m^{7} x +99 B \,a^{2} b \,m^{6} x^{2}+1254 B \,a^{2} c \,m^{5} x^{3}+1254 B a \,b^{2} m^{5} x^{3}+15486 B a b c \,m^{4} x^{4}+25227 B a \,c^{2} m^{3} x^{5}+2581 B \,b^{3} m^{4} x^{4}+25227 B \,b^{2} c \,m^{3} x^{5}+44268 B b \,c^{2} m^{2} x^{6}+13068 B \,c^{3} m \,x^{7}+A \,a^{3} m^{7}+102 A \,a^{2} b \,m^{6} x +1341 A \,a^{2} c \,m^{5} x^{2}+1341 A a \,b^{2} m^{5} x^{2}+17184 A a b c \,m^{4} x^{3}+28632 A a \,c^{2} m^{3} x^{4}+2864 A \,b^{3} m^{4} x^{3}+28632 A \,b^{2} c \,m^{3} x^{4}+50490 A b \,c^{2} m^{2} x^{5}+14832 A \,c^{3} m \,x^{6}+34 B \,a^{3} m^{6} x +1341 B \,a^{2} b \,m^{5} x^{2}+8592 B \,a^{2} c \,m^{4} x^{3}+8592 B a \,b^{2} m^{4} x^{3}+57264 B a b c \,m^{3} x^{4}+50490 B a \,c^{2} m^{2} x^{5}+9544 B \,b^{3} m^{3} x^{4}+50490 B \,b^{2} c \,m^{2} x^{5}+44496 B b \,c^{2} m \,x^{6}+5040 B \,c^{3} x^{7}+35 A \,a^{3} m^{6}+1434 A \,a^{2} b \,m^{5} x +9585 A \,a^{2} c \,m^{4} x^{2}+9585 A a \,b^{2} m^{4} x^{2}+65958 A a b c \,m^{3} x^{3}+58692 A a \,c^{2} m^{2} x^{4}+10993 A \,b^{3} m^{3} x^{3}+58692 A \,b^{2} c \,m^{2} x^{4}+51432 A b \,c^{2} m \,x^{5}+5760 A \,c^{3} x^{6}+478 B \,a^{3} m^{5} x +9585 B \,a^{2} b \,m^{4} x^{2}+32979 B \,a^{2} c \,m^{3} x^{3}+32979 B a \,b^{2} m^{3} x^{3}+117384 B a b c \,m^{2} x^{4}+51432 B a \,c^{2} m \,x^{5}+19564 B \,b^{3} m^{2} x^{4}+51432 B \,b^{2} c m \,x^{5}+17280 x^{6} B b \,c^{2}+511 A \,a^{3} m^{5}+10740 A \,a^{2} b \,m^{4} x +38592 A \,a^{2} c \,m^{3} x^{2}+38592 A a \,b^{2} m^{3} x^{2}+139872 A a b c \,m^{2} x^{3}+60912 A a \,c^{2} m \,x^{4}+23312 A \,b^{3} m^{2} x^{3}+60912 A \,b^{2} c m \,x^{4}+20160 A b \,c^{2} x^{5}+3580 B \,a^{3} m^{4} x +38592 B \,a^{2} b \,m^{3} x^{2}+69936 B \,a^{2} c \,m^{2} x^{3}+69936 B a \,b^{2} m^{2} x^{3}+121824 B a b c m \,x^{4}+20160 B a \,c^{2} x^{5}+20304 B \,b^{3} m \,x^{4}+20160 x^{5} B \,b^{2} c +4025 A \,a^{3} m^{4}+45867 A \,a^{2} b \,m^{3} x +86076 A \,a^{2} c \,m^{2} x^{2}+86076 A a \,b^{2} m^{2} x^{2}+149256 A a b c m \,x^{3}+24192 A a \,c^{2} x^{4}+24876 A \,b^{3} m \,x^{3}+24192 x^{4} A \,b^{2} c +15289 B \,a^{3} m^{3} x +86076 B \,a^{2} b \,m^{2} x^{2}+74628 B \,a^{2} c m \,x^{3}+74628 B a \,b^{2} m \,x^{3}+48384 x^{4} a b B c +8064 x^{4} b^{3} B +18424 A \,a^{3} m^{3}+110118 A \,a^{2} b \,m^{2} x +96144 A \,a^{2} c m \,x^{2}+96144 A a \,b^{2} m \,x^{2}+60480 x^{3} A a b c +10080 A \,b^{3} x^{3}+36706 B \,a^{3} m^{2} x +96144 B \,a^{2} b m \,x^{2}+30240 B \,a^{2} c \,x^{3}+30240 x^{3} B a \,b^{2}+48860 A \,a^{3} m^{2}+134136 A \,a^{2} b m x +40320 A \,a^{2} c \,x^{2}+40320 x^{2} A a \,b^{2}+44712 B \,a^{3} m x +40320 B \,a^{2} b \,x^{2}+69264 A \,a^{3} m +60480 x A \,a^{2} b +20160 B \,a^{3} x +40320 A \,a^{3}\right) x \left(e x \right)^{m}}{\left(m +8\right) \left(m +7\right) \left(m +6\right) \left(m +5\right) \left(m +4\right) \left(m +3\right) \left(m +2\right) \left(m +1\right)}"," ",0,"x*(B*c^3*m^7*x^7+A*c^3*m^7*x^6+3*B*b*c^2*m^7*x^6+28*B*c^3*m^6*x^7+3*A*b*c^2*m^7*x^5+29*A*c^3*m^6*x^6+3*B*a*c^2*m^7*x^5+3*B*b^2*c*m^7*x^5+87*B*b*c^2*m^6*x^6+322*B*c^3*m^5*x^7+3*A*a*c^2*m^7*x^4+3*A*b^2*c*m^7*x^4+90*A*b*c^2*m^6*x^5+343*A*c^3*m^5*x^6+6*B*a*b*c*m^7*x^4+90*B*a*c^2*m^6*x^5+B*b^3*m^7*x^4+90*B*b^2*c*m^6*x^5+1029*B*b*c^2*m^5*x^6+1960*B*c^3*m^4*x^7+6*A*a*b*c*m^7*x^3+93*A*a*c^2*m^6*x^4+A*b^3*m^7*x^3+93*A*b^2*c*m^6*x^4+1098*A*b*c^2*m^5*x^5+2135*A*c^3*m^4*x^6+3*B*a^2*c*m^7*x^3+3*B*a*b^2*m^7*x^3+186*B*a*b*c*m^6*x^4+1098*B*a*c^2*m^5*x^5+31*B*b^3*m^6*x^4+1098*B*b^2*c*m^5*x^5+6405*B*b*c^2*m^4*x^6+6769*B*c^3*m^3*x^7+3*A*a^2*c*m^7*x^2+3*A*a*b^2*m^7*x^2+192*A*a*b*c*m^6*x^3+1173*A*a*c^2*m^5*x^4+32*A*b^3*m^6*x^3+1173*A*b^2*c*m^5*x^4+7020*A*b*c^2*m^4*x^5+7504*A*c^3*m^3*x^6+3*B*a^2*b*m^7*x^2+96*B*a^2*c*m^6*x^3+96*B*a*b^2*m^6*x^3+2346*B*a*b*c*m^5*x^4+7020*B*a*c^2*m^4*x^5+391*B*b^3*m^5*x^4+7020*B*b^2*c*m^4*x^5+22512*B*b*c^2*m^3*x^6+13132*B*c^3*m^2*x^7+3*A*a^2*b*m^7*x+99*A*a^2*c*m^6*x^2+99*A*a*b^2*m^6*x^2+2508*A*a*b*c*m^5*x^3+7743*A*a*c^2*m^4*x^4+418*A*b^3*m^5*x^3+7743*A*b^2*c*m^4*x^4+25227*A*b*c^2*m^3*x^5+14756*A*c^3*m^2*x^6+B*a^3*m^7*x+99*B*a^2*b*m^6*x^2+1254*B*a^2*c*m^5*x^3+1254*B*a*b^2*m^5*x^3+15486*B*a*b*c*m^4*x^4+25227*B*a*c^2*m^3*x^5+2581*B*b^3*m^4*x^4+25227*B*b^2*c*m^3*x^5+44268*B*b*c^2*m^2*x^6+13068*B*c^3*m*x^7+A*a^3*m^7+102*A*a^2*b*m^6*x+1341*A*a^2*c*m^5*x^2+1341*A*a*b^2*m^5*x^2+17184*A*a*b*c*m^4*x^3+28632*A*a*c^2*m^3*x^4+2864*A*b^3*m^4*x^3+28632*A*b^2*c*m^3*x^4+50490*A*b*c^2*m^2*x^5+14832*A*c^3*m*x^6+34*B*a^3*m^6*x+1341*B*a^2*b*m^5*x^2+8592*B*a^2*c*m^4*x^3+8592*B*a*b^2*m^4*x^3+57264*B*a*b*c*m^3*x^4+50490*B*a*c^2*m^2*x^5+9544*B*b^3*m^3*x^4+50490*B*b^2*c*m^2*x^5+44496*B*b*c^2*m*x^6+5040*B*c^3*x^7+35*A*a^3*m^6+1434*A*a^2*b*m^5*x+9585*A*a^2*c*m^4*x^2+9585*A*a*b^2*m^4*x^2+65958*A*a*b*c*m^3*x^3+58692*A*a*c^2*m^2*x^4+10993*A*b^3*m^3*x^3+58692*A*b^2*c*m^2*x^4+51432*A*b*c^2*m*x^5+5760*A*c^3*x^6+478*B*a^3*m^5*x+9585*B*a^2*b*m^4*x^2+32979*B*a^2*c*m^3*x^3+32979*B*a*b^2*m^3*x^3+117384*B*a*b*c*m^2*x^4+51432*B*a*c^2*m*x^5+19564*B*b^3*m^2*x^4+51432*B*b^2*c*m*x^5+17280*B*b*c^2*x^6+511*A*a^3*m^5+10740*A*a^2*b*m^4*x+38592*A*a^2*c*m^3*x^2+38592*A*a*b^2*m^3*x^2+139872*A*a*b*c*m^2*x^3+60912*A*a*c^2*m*x^4+23312*A*b^3*m^2*x^3+60912*A*b^2*c*m*x^4+20160*A*b*c^2*x^5+3580*B*a^3*m^4*x+38592*B*a^2*b*m^3*x^2+69936*B*a^2*c*m^2*x^3+69936*B*a*b^2*m^2*x^3+121824*B*a*b*c*m*x^4+20160*B*a*c^2*x^5+20304*B*b^3*m*x^4+20160*B*b^2*c*x^5+4025*A*a^3*m^4+45867*A*a^2*b*m^3*x+86076*A*a^2*c*m^2*x^2+86076*A*a*b^2*m^2*x^2+149256*A*a*b*c*m*x^3+24192*A*a*c^2*x^4+24876*A*b^3*m*x^3+24192*A*b^2*c*x^4+15289*B*a^3*m^3*x+86076*B*a^2*b*m^2*x^2+74628*B*a^2*c*m*x^3+74628*B*a*b^2*m*x^3+48384*B*a*b*c*x^4+8064*B*b^3*x^4+18424*A*a^3*m^3+110118*A*a^2*b*m^2*x+96144*A*a^2*c*m*x^2+96144*A*a*b^2*m*x^2+60480*A*a*b*c*x^3+10080*A*b^3*x^3+36706*B*a^3*m^2*x+96144*B*a^2*b*m*x^2+30240*B*a^2*c*x^3+30240*B*a*b^2*x^3+48860*A*a^3*m^2+134136*A*a^2*b*m*x+40320*A*a^2*c*x^2+40320*A*a*b^2*x^2+44712*B*a^3*m*x+40320*B*a^2*b*x^2+69264*A*a^3*m+60480*A*a^2*b*x+20160*B*a^3*x+40320*A*a^3)*(e*x)^m/(m+8)/(m+7)/(m+6)/(m+5)/(m+4)/(m+3)/(m+2)/(m+1)","B"
1084,1,759,155,0.051000," ","int((e*x)^m*(B*x+A)*(c*x^2+b*x+a)^2,x)","\frac{\left(B \,c^{2} m^{5} x^{5}+A \,c^{2} m^{5} x^{4}+2 B b c \,m^{5} x^{4}+15 B \,c^{2} m^{4} x^{5}+2 A b c \,m^{5} x^{3}+16 A \,c^{2} m^{4} x^{4}+2 B a c \,m^{5} x^{3}+B \,b^{2} m^{5} x^{3}+32 B b c \,m^{4} x^{4}+85 B \,c^{2} m^{3} x^{5}+2 A a c \,m^{5} x^{2}+A \,b^{2} m^{5} x^{2}+34 A b c \,m^{4} x^{3}+95 A \,c^{2} m^{3} x^{4}+2 B a b \,m^{5} x^{2}+34 B a c \,m^{4} x^{3}+17 B \,b^{2} m^{4} x^{3}+190 B b c \,m^{3} x^{4}+225 B \,c^{2} m^{2} x^{5}+2 A a b \,m^{5} x +36 A a c \,m^{4} x^{2}+18 A \,b^{2} m^{4} x^{2}+214 A b c \,m^{3} x^{3}+260 A \,c^{2} m^{2} x^{4}+B \,a^{2} m^{5} x +36 B a b \,m^{4} x^{2}+214 B a c \,m^{3} x^{3}+107 B \,b^{2} m^{3} x^{3}+520 B b c \,m^{2} x^{4}+274 B \,c^{2} m \,x^{5}+A \,a^{2} m^{5}+38 A a b \,m^{4} x +242 A a c \,m^{3} x^{2}+121 A \,b^{2} m^{3} x^{2}+614 A b c \,m^{2} x^{3}+324 A \,c^{2} m \,x^{4}+19 B \,a^{2} m^{4} x +242 B a b \,m^{3} x^{2}+614 B a c \,m^{2} x^{3}+307 B \,b^{2} m^{2} x^{3}+648 B b c m \,x^{4}+120 B \,c^{2} x^{5}+20 A \,a^{2} m^{4}+274 A a b \,m^{3} x +744 A a c \,m^{2} x^{2}+372 A \,b^{2} m^{2} x^{2}+792 A b c m \,x^{3}+144 A \,c^{2} x^{4}+137 B \,a^{2} m^{3} x +744 B a b \,m^{2} x^{2}+792 B a c m \,x^{3}+396 B \,b^{2} m \,x^{3}+288 B b c \,x^{4}+155 A \,a^{2} m^{3}+922 A a b \,m^{2} x +1016 A a c m \,x^{2}+508 A \,b^{2} m \,x^{2}+360 x^{3} A b c +461 B \,a^{2} m^{2} x +1016 B a b m \,x^{2}+360 B a c \,x^{3}+180 B \,b^{2} x^{3}+580 A \,a^{2} m^{2}+1404 A a b m x +480 A a c \,x^{2}+240 A \,b^{2} x^{2}+702 B \,a^{2} m x +480 B a b \,x^{2}+1044 A \,a^{2} m +720 A a b x +360 B \,a^{2} x +720 A \,a^{2}\right) x \left(e x \right)^{m}}{\left(m +6\right) \left(m +5\right) \left(m +4\right) \left(m +3\right) \left(m +2\right) \left(m +1\right)}"," ",0,"x*(B*c^2*m^5*x^5+A*c^2*m^5*x^4+2*B*b*c*m^5*x^4+15*B*c^2*m^4*x^5+2*A*b*c*m^5*x^3+16*A*c^2*m^4*x^4+2*B*a*c*m^5*x^3+B*b^2*m^5*x^3+32*B*b*c*m^4*x^4+85*B*c^2*m^3*x^5+2*A*a*c*m^5*x^2+A*b^2*m^5*x^2+34*A*b*c*m^4*x^3+95*A*c^2*m^3*x^4+2*B*a*b*m^5*x^2+34*B*a*c*m^4*x^3+17*B*b^2*m^4*x^3+190*B*b*c*m^3*x^4+225*B*c^2*m^2*x^5+2*A*a*b*m^5*x+36*A*a*c*m^4*x^2+18*A*b^2*m^4*x^2+214*A*b*c*m^3*x^3+260*A*c^2*m^2*x^4+B*a^2*m^5*x+36*B*a*b*m^4*x^2+214*B*a*c*m^3*x^3+107*B*b^2*m^3*x^3+520*B*b*c*m^2*x^4+274*B*c^2*m*x^5+A*a^2*m^5+38*A*a*b*m^4*x+242*A*a*c*m^3*x^2+121*A*b^2*m^3*x^2+614*A*b*c*m^2*x^3+324*A*c^2*m*x^4+19*B*a^2*m^4*x+242*B*a*b*m^3*x^2+614*B*a*c*m^2*x^3+307*B*b^2*m^2*x^3+648*B*b*c*m*x^4+120*B*c^2*x^5+20*A*a^2*m^4+274*A*a*b*m^3*x+744*A*a*c*m^2*x^2+372*A*b^2*m^2*x^2+792*A*b*c*m*x^3+144*A*c^2*x^4+137*B*a^2*m^3*x+744*B*a*b*m^2*x^2+792*B*a*c*m*x^3+396*B*b^2*m*x^3+288*B*b*c*x^4+155*A*a^2*m^3+922*A*a*b*m^2*x+1016*A*a*c*m*x^2+508*A*b^2*m*x^2+360*A*b*c*x^3+461*B*a^2*m^2*x+1016*B*a*b*m*x^2+360*B*a*c*x^3+180*B*b^2*x^3+580*A*a^2*m^2+1404*A*a*b*m*x+480*A*a*c*x^2+240*A*b^2*x^2+702*B*a^2*m*x+480*B*a*b*x^2+1044*A*a^2*m+720*A*a*b*x+360*B*a^2*x+720*A*a^2)*(e*x)^m/(m+6)/(m+5)/(m+4)/(m+3)/(m+2)/(m+1)","B"
1085,1,205,83,0.044000," ","int((e*x)^m*(B*x+A)*(c*x^2+b*x+a),x)","\frac{\left(B c \,m^{3} x^{3}+A c \,m^{3} x^{2}+B b \,m^{3} x^{2}+6 B c \,m^{2} x^{3}+A b \,m^{3} x +7 A c \,m^{2} x^{2}+B a \,m^{3} x +7 B b \,m^{2} x^{2}+11 B c m \,x^{3}+A a \,m^{3}+8 A b \,m^{2} x +14 A c m \,x^{2}+8 B a \,m^{2} x +14 B b m \,x^{2}+6 B c \,x^{3}+9 A a \,m^{2}+19 A b m x +8 A c \,x^{2}+19 B a m x +8 B b \,x^{2}+26 A a m +12 A b x +12 B a x +24 A a \right) x \left(e x \right)^{m}}{\left(m +4\right) \left(m +3\right) \left(m +2\right) \left(m +1\right)}"," ",0,"x*(B*c*m^3*x^3+A*c*m^3*x^2+B*b*m^3*x^2+6*B*c*m^2*x^3+A*b*m^3*x+7*A*c*m^2*x^2+B*a*m^3*x+7*B*b*m^2*x^2+11*B*c*m*x^3+A*a*m^3+8*A*b*m^2*x+14*A*c*m*x^2+8*B*a*m^2*x+14*B*b*m*x^2+6*B*c*x^3+9*A*a*m^2+19*A*b*m*x+8*A*c*x^2+19*B*a*m*x+8*B*b*x^2+26*A*a*m+12*A*b*x+12*B*a*x+24*A*a)*(e*x)^m/(m+4)/(m+3)/(m+2)/(m+1)","B"
1086,0,0,164,1.495000," ","int((e*x)^m*(B*x+A)/(c*x^2+b*x+a),x)","\int \frac{\left(B x +A \right) \left(e x \right)^{m}}{c \,x^{2}+b x +a}\, dx"," ",0,"int((e*x)^m*(B*x+A)/(c*x^2+b*x+a),x)","F"
1087,0,0,306,1.411000," ","int((e*x)^m*(B*x+A)/(c*x^2+b*x+a)^2,x)","\int \frac{\left(B x +A \right) \left(e x \right)^{m}}{\left(c \,x^{2}+b x +a \right)^{2}}\, dx"," ",0,"int((e*x)^m*(B*x+A)/(c*x^2+b*x+a)^2,x)","F"
1088,0,0,245,1.707000," ","int((e*x)^m*(B*x+A)*(c*x^2+b*x+a)^(5/2),x)","\int \left(B x +A \right) \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} \left(e x \right)^{m}\, dx"," ",0,"int((e*x)^m*(B*x+A)*(c*x^2+b*x+a)^(5/2),x)","F"
1089,0,0,245,1.439000," ","int((e*x)^m*(B*x+A)*(c*x^2+b*x+a)^(3/2),x)","\int \left(B x +A \right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} \left(e x \right)^{m}\, dx"," ",0,"int((e*x)^m*(B*x+A)*(c*x^2+b*x+a)^(3/2),x)","F"
1090,0,0,245,1.188000," ","int((e*x)^m*(B*x+A)*(c*x^2+b*x+a)^(1/2),x)","\int \left(B x +A \right) \sqrt{c \,x^{2}+b x +a}\, \left(e x \right)^{m}\, dx"," ",0,"int((e*x)^m*(B*x+A)*(c*x^2+b*x+a)^(1/2),x)","F"
1091,0,0,245,1.158000," ","int((e*x)^m*(B*x+A)/(c*x^2+b*x+a)^(1/2),x)","\int \frac{\left(B x +A \right) \left(e x \right)^{m}}{\sqrt{c \,x^{2}+b x +a}}\, dx"," ",0,"int((e*x)^m*(B*x+A)/(c*x^2+b*x+a)^(1/2),x)","F"
1092,0,0,245,1.241000," ","int((e*x)^m*(B*x+A)/(c*x^2+b*x+a)^(3/2),x)","\int \frac{\left(B x +A \right) \left(e x \right)^{m}}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}\, dx"," ",0,"int((e*x)^m*(B*x+A)/(c*x^2+b*x+a)^(3/2),x)","F"
1093,0,0,245,1.232000," ","int((e*x)^m*(B*x+A)/(c*x^2+b*x+a)^(5/2),x)","\int \frac{\left(B x +A \right) \left(e x \right)^{m}}{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}}}\, dx"," ",0,"int((e*x)^m*(B*x+A)/(c*x^2+b*x+a)^(5/2),x)","F"
1094,0,0,261,1.254000," ","int((e*x)^m*(B*x+A)*(c*x^2+b*x+a)^p,x)","\int \left(B x +A \right) \left(e x \right)^{m} \left(c \,x^{2}+b x +a \right)^{p}\, dx"," ",0,"int((e*x)^m*(B*x+A)*(c*x^2+b*x+a)^p,x)","F"
1095,0,0,425,1.571000," ","int(x^3*(B*x+A)*(c*x^2+b*x+a)^p,x)","\int \left(B x +A \right) x^{3} \left(c \,x^{2}+b x +a \right)^{p}\, dx"," ",0,"int(x^3*(B*x+A)*(c*x^2+b*x+a)^p,x)","F"
1096,0,0,272,1.552000," ","int(x^2*(B*x+A)*(c*x^2+b*x+a)^p,x)","\int \left(B x +A \right) x^{2} \left(c \,x^{2}+b x +a \right)^{p}\, dx"," ",0,"int(x^2*(B*x+A)*(c*x^2+b*x+a)^p,x)","F"
1097,0,0,198,1.332000," ","int(x*(B*x+A)*(c*x^2+b*x+a)^p,x)","\int \left(B x +A \right) x \left(c \,x^{2}+b x +a \right)^{p}\, dx"," ",0,"int(x*(B*x+A)*(c*x^2+b*x+a)^p,x)","F"
1098,0,0,145,1.184000," ","int((B*x+A)*(c*x^2+b*x+a)^p,x)","\int \left(B x +A \right) \left(c \,x^{2}+b x +a \right)^{p}\, dx"," ",0,"int((B*x+A)*(c*x^2+b*x+a)^p,x)","F"
1099,0,0,254,1.228000," ","int((B*x+A)*(c*x^2+b*x+a)^p/x,x)","\int \frac{\left(B x +A \right) \left(c \,x^{2}+b x +a \right)^{p}}{x}\, dx"," ",0,"int((B*x+A)*(c*x^2+b*x+a)^p/x,x)","F"
1100,0,0,296,1.288000," ","int((B*x+A)*(c*x^2+b*x+a)^p/x^2,x)","\int \frac{\left(B x +A \right) \left(c \,x^{2}+b x +a \right)^{p}}{x^{2}}\, dx"," ",0,"int((B*x+A)*(c*x^2+b*x+a)^p/x^2,x)","F"
1101,0,0,353,1.199000," ","int((B*x+A)*(c*x^2+b*x+a)^p/x^3,x)","\int \frac{\left(B x +A \right) \left(c \,x^{2}+b x +a \right)^{p}}{x^{3}}\, dx"," ",0,"int((B*x+A)*(c*x^2+b*x+a)^p/x^3,x)","F"
1102,1,402,136,0.050000," ","int((B*x+A)*(e*x+d)^m*(c*x^2+b*x),x)","-\frac{\left(-B c \,e^{3} m^{3} x^{3}-A c \,e^{3} m^{3} x^{2}-B b \,e^{3} m^{3} x^{2}-6 B c \,e^{3} m^{2} x^{3}-A b \,e^{3} m^{3} x -7 A c \,e^{3} m^{2} x^{2}-7 B b \,e^{3} m^{2} x^{2}+3 B c d \,e^{2} m^{2} x^{2}-11 B c \,e^{3} m \,x^{3}-8 A b \,e^{3} m^{2} x +2 A c d \,e^{2} m^{2} x -14 A c \,e^{3} m \,x^{2}+2 B b d \,e^{2} m^{2} x -14 B b \,e^{3} m \,x^{2}+9 B c d \,e^{2} m \,x^{2}-6 B c \,x^{3} e^{3}+A b d \,e^{2} m^{2}-19 A b \,e^{3} m x +10 A c d \,e^{2} m x -8 A c \,e^{3} x^{2}+10 B b d \,e^{2} m x -8 B b \,e^{3} x^{2}-6 B c \,d^{2} e m x +6 B c d \,e^{2} x^{2}+7 A b d \,e^{2} m -12 A b \,e^{3} x -2 A c \,d^{2} e m +8 A c d \,e^{2} x -2 B b \,d^{2} e m +8 B b d \,e^{2} x -6 B c \,d^{2} e x +12 A b d \,e^{2}-8 A c \,d^{2} e -8 B b \,d^{2} e +6 B c \,d^{3}\right) \left(e x +d \right)^{m +1}}{\left(m^{4}+10 m^{3}+35 m^{2}+50 m +24\right) e^{4}}"," ",0,"-(e*x+d)^(m+1)*(-B*c*e^3*m^3*x^3-A*c*e^3*m^3*x^2-B*b*e^3*m^3*x^2-6*B*c*e^3*m^2*x^3-A*b*e^3*m^3*x-7*A*c*e^3*m^2*x^2-7*B*b*e^3*m^2*x^2+3*B*c*d*e^2*m^2*x^2-11*B*c*e^3*m*x^3-8*A*b*e^3*m^2*x+2*A*c*d*e^2*m^2*x-14*A*c*e^3*m*x^2+2*B*b*d*e^2*m^2*x-14*B*b*e^3*m*x^2+9*B*c*d*e^2*m*x^2-6*B*c*e^3*x^3+A*b*d*e^2*m^2-19*A*b*e^3*m*x+10*A*c*d*e^2*m*x-8*A*c*e^3*x^2+10*B*b*d*e^2*m*x-8*B*b*e^3*x^2-6*B*c*d^2*e*m*x+6*B*c*d*e^2*x^2+7*A*b*d*e^2*m-12*A*b*e^3*x-2*A*c*d^2*e*m+8*A*c*d*e^2*x-2*B*b*d^2*e*m+8*B*b*d*e^2*x-6*B*c*d^2*e*x+12*A*b*d*e^2-8*A*c*d^2*e-8*B*b*d^2*e+6*B*c*d^3)/e^4/(m^4+10*m^3+35*m^2+50*m+24)","B"
1103,1,200,110,0.045000," ","int((B*x+A)*(e*x+d)^4*(c*x^2+b*x),x)","\frac{B c \,e^{4} x^{8}}{8}+\frac{A b \,d^{4} x^{2}}{2}+\frac{\left(B b \,e^{4}+\left(A \,e^{4}+4 B d \,e^{3}\right) c \right) x^{7}}{7}+\frac{\left(\left(A \,e^{4}+4 B d \,e^{3}\right) b +\left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) c \right) x^{6}}{6}+\frac{\left(\left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) b +\left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) c \right) x^{5}}{5}+\frac{\left(\left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) b +\left(4 A \,d^{3} e +B \,d^{4}\right) c \right) x^{4}}{4}+\frac{\left(A c \,d^{4}+\left(4 A \,d^{3} e +B \,d^{4}\right) b \right) x^{3}}{3}"," ",0,"1/8*B*e^4*c*x^8+1/7*((A*e^4+4*B*d*e^3)*c+B*e^4*b)*x^7+1/6*((4*A*d*e^3+6*B*d^2*e^2)*c+(A*e^4+4*B*d*e^3)*b)*x^6+1/5*((6*A*d^2*e^2+4*B*d^3*e)*c+(4*A*d*e^3+6*B*d^2*e^2)*b)*x^5+1/4*((4*A*d^3*e+B*d^4)*c+(6*A*d^2*e^2+4*B*d^3*e)*b)*x^4+1/3*(A*d^4*c+(4*A*d^3*e+B*d^4)*b)*x^3+1/2*A*d^4*b*x^2","A"
1104,1,152,110,0.049000," ","int((B*x+A)*(e*x+d)^3*(c*x^2+b*x),x)","\frac{B c \,e^{3} x^{7}}{7}+\frac{A b \,d^{3} x^{2}}{2}+\frac{\left(B b \,e^{3}+\left(A \,e^{3}+3 B d \,e^{2}\right) c \right) x^{6}}{6}+\frac{\left(\left(A \,e^{3}+3 B d \,e^{2}\right) b +\left(3 A d \,e^{2}+3 B \,d^{2} e \right) c \right) x^{5}}{5}+\frac{\left(\left(3 A d \,e^{2}+3 B \,d^{2} e \right) b +\left(3 A \,d^{2} e +B \,d^{3}\right) c \right) x^{4}}{4}+\frac{\left(A c \,d^{3}+\left(3 A \,d^{2} e +B \,d^{3}\right) b \right) x^{3}}{3}"," ",0,"1/7*B*e^3*c*x^7+1/6*((A*e^3+3*B*d*e^2)*c+B*e^3*b)*x^6+1/5*((3*A*d*e^2+3*B*d^2*e)*c+(A*e^3+3*B*d*e^2)*b)*x^5+1/4*((3*A*d^2*e+B*d^3)*c+(3*A*d*e^2+3*B*d^2*e)*b)*x^4+1/3*(A*d^3*c+(3*A*d^2*e+B*d^3)*b)*x^3+1/2*A*d^3*b*x^2","A"
1105,1,104,89,0.046000," ","int((B*x+A)*(e*x+d)^2*(c*x^2+b*x),x)","\frac{B c \,e^{2} x^{6}}{6}+\frac{A b \,d^{2} x^{2}}{2}+\frac{\left(B b \,e^{2}+\left(A \,e^{2}+2 B d e \right) c \right) x^{5}}{5}+\frac{\left(\left(A \,e^{2}+2 B d e \right) b +\left(2 A d e +B \,d^{2}\right) c \right) x^{4}}{4}+\frac{\left(A c \,d^{2}+\left(2 A d e +B \,d^{2}\right) b \right) x^{3}}{3}"," ",0,"1/6*B*c*e^2*x^6+1/5*((A*e^2+2*B*d*e)*c+B*e^2*b)*x^5+1/4*((2*A*d*e+B*d^2)*c+(A*e^2+2*B*d*e)*b)*x^4+1/3*(A*c*d^2+(2*A*d*e+B*d^2)*b)*x^3+1/2*A*b*d^2*x^2","A"
1106,1,56,53,0.040000," ","int((B*x+A)*(e*x+d)*(c*x^2+b*x),x)","\frac{B c e \,x^{5}}{5}+\frac{A b d \,x^{2}}{2}+\frac{\left(B b e +\left(A e +B d \right) c \right) x^{4}}{4}+\frac{\left(A c d +\left(A e +B d \right) b \right) x^{3}}{3}"," ",0,"1/5*B*c*e*x^5+1/4*(c*(A*e+B*d)+b*B*e)*x^4+1/3*(A*c*d+b*(A*e+B*d))*x^3+1/2*A*b*d*x^2","A"
1107,1,28,27,0.043000," ","int((B*x+A)*(c*x^2+b*x),x)","\frac{B c \,x^{4}}{4}+\frac{A b \,x^{2}}{2}+\frac{\left(A c +b B \right) x^{3}}{3}"," ",0,"1/4*B*c*x^4+1/2*A*b*x^2+1/3*(A*c+B*b)*x^3","A"
1108,1,138,83,0.040000," ","int((B*x+A)*(c*x^2+b*x)/(e*x+d),x)","\frac{B c \,x^{3}}{3 e}+\frac{A c \,x^{2}}{2 e}+\frac{B b \,x^{2}}{2 e}-\frac{B c d \,x^{2}}{2 e^{2}}-\frac{A b d \ln \left(e x +d \right)}{e^{2}}+\frac{A b x}{e}+\frac{A c \,d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{A c d x}{e^{2}}+\frac{B b \,d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{B b d x}{e^{2}}-\frac{B c \,d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{B c \,d^{2} x}{e^{3}}"," ",0,"1/3*B*c*x^3/e+1/2/e*A*x^2*c+1/2/e*B*x^2*b-1/2/e^2*B*x^2*c*d+1/e*A*x*b-1/e^2*A*x*c*d-1/e^2*B*x*b*d+1/e^3*B*x*c*d^2-d/e^2*ln(e*x+d)*A*b+d^2/e^3*ln(e*x+d)*A*c+d^2/e^3*ln(e*x+d)*B*b-d^3/e^4*ln(e*x+d)*B*c","A"
1109,1,155,97,0.056000," ","int((B*x+A)*(c*x^2+b*x)/(e*x+d)^2,x)","\frac{B c \,x^{2}}{2 e^{2}}+\frac{A b d}{\left(e x +d \right) e^{2}}+\frac{A b \ln \left(e x +d \right)}{e^{2}}-\frac{A c \,d^{2}}{\left(e x +d \right) e^{3}}-\frac{2 A c d \ln \left(e x +d \right)}{e^{3}}+\frac{A c x}{e^{2}}-\frac{B b \,d^{2}}{\left(e x +d \right) e^{3}}-\frac{2 B b d \ln \left(e x +d \right)}{e^{3}}+\frac{B b x}{e^{2}}+\frac{B c \,d^{3}}{\left(e x +d \right) e^{4}}+\frac{3 B c \,d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{2 B c d x}{e^{3}}"," ",0,"1/2*B*c*x^2/e^2+1/e^2*A*c*x+1/e^2*B*b*x-2/e^3*B*c*d*x+d/e^2/(e*x+d)*A*b-d^2/e^3/(e*x+d)*A*c-d^2/e^3/(e*x+d)*B*b+d^3/e^4/(e*x+d)*B*c+1/e^2*ln(e*x+d)*A*b-2/e^3*ln(e*x+d)*A*c*d-2/e^3*ln(e*x+d)*B*b*d+3/e^4*ln(e*x+d)*B*c*d^2","A"
1110,1,174,101,0.055000," ","int((B*x+A)*(c*x^2+b*x)/(e*x+d)^3,x)","\frac{A b d}{2 \left(e x +d \right)^{2} e^{2}}-\frac{A c \,d^{2}}{2 \left(e x +d \right)^{2} e^{3}}-\frac{B b \,d^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{B c \,d^{3}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{A b}{\left(e x +d \right) e^{2}}+\frac{2 A c d}{\left(e x +d \right) e^{3}}+\frac{A c \ln \left(e x +d \right)}{e^{3}}+\frac{2 B b d}{\left(e x +d \right) e^{3}}+\frac{B b \ln \left(e x +d \right)}{e^{3}}-\frac{3 B c \,d^{2}}{\left(e x +d \right) e^{4}}-\frac{3 B c d \ln \left(e x +d \right)}{e^{4}}+\frac{B c x}{e^{3}}"," ",0,"B*c*x/e^3-1/e^2/(e*x+d)*A*b+2/e^3/(e*x+d)*A*c*d+2/e^3/(e*x+d)*B*b*d-3/e^4/(e*x+d)*B*c*d^2+1/2*d/e^2/(e*x+d)^2*A*b-1/2*d^2/e^3/(e*x+d)^2*A*c-1/2*d^2/e^3/(e*x+d)^2*B*b+1/2*d^3/e^4/(e*x+d)^2*B*c+1/e^3*ln(e*x+d)*A*c+1/e^3*ln(e*x+d)*B*b-3/e^4*ln(e*x+d)*B*c*d","A"
1111,1,182,107,0.048000," ","int((B*x+A)*(c*x^2+b*x)/(e*x+d)^4,x)","\frac{A b d}{3 \left(e x +d \right)^{3} e^{2}}-\frac{A c \,d^{2}}{3 \left(e x +d \right)^{3} e^{3}}-\frac{B b \,d^{2}}{3 \left(e x +d \right)^{3} e^{3}}+\frac{B c \,d^{3}}{3 \left(e x +d \right)^{3} e^{4}}-\frac{A b}{2 \left(e x +d \right)^{2} e^{2}}+\frac{A c d}{\left(e x +d \right)^{2} e^{3}}+\frac{B b d}{\left(e x +d \right)^{2} e^{3}}-\frac{3 B c \,d^{2}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{A c}{\left(e x +d \right) e^{3}}-\frac{B b}{\left(e x +d \right) e^{3}}+\frac{3 B c d}{\left(e x +d \right) e^{4}}+\frac{B c \ln \left(e x +d \right)}{e^{4}}"," ",0,"-1/e^3/(e*x+d)*A*c-1/e^3/(e*x+d)*B*b+3/e^4/(e*x+d)*B*c*d-1/2/e^2/(e*x+d)^2*A*b+1/e^3/(e*x+d)^2*A*c*d+1/e^3/(e*x+d)^2*B*d*b-3/2/e^4/(e*x+d)^2*B*c*d^2+1/3*d/e^2/(e*x+d)^3*A*b-1/3*d^2/e^3/(e*x+d)^3*A*c-1/3*d^2/e^3/(e*x+d)^3*B*b+1/3*d^3/e^4/(e*x+d)^3*B*c+B*c*ln(e*x+d)/e^4","A"
1112,1,118,110,0.047000," ","int((B*x+A)*(c*x^2+b*x)/(e*x+d)^5,x)","-\frac{B c}{\left(e x +d \right) e^{4}}+\frac{\left(A b \,e^{2}-A c d e -B d b e +B c \,d^{2}\right) d}{4 \left(e x +d \right)^{4} e^{4}}-\frac{A c e +B b e -3 B c d}{2 \left(e x +d \right)^{2} e^{4}}-\frac{A b \,e^{2}-2 A c d e -2 B d b e +3 B c \,d^{2}}{3 \left(e x +d \right)^{3} e^{4}}"," ",0,"-B*c/e^4/(e*x+d)+1/4*d*(A*b*e^2-A*c*d*e-B*b*d*e+B*c*d^2)/e^4/(e*x+d)^4-1/2*(A*c*e+B*b*e-3*B*c*d)/e^4/(e*x+d)^2-1/3*(A*b*e^2-2*A*c*d*e-2*B*b*d*e+3*B*c*d^2)/e^4/(e*x+d)^3","A"
1113,1,118,110,0.058000," ","int((B*x+A)*(c*x^2+b*x)/(e*x+d)^6,x)","-\frac{B c}{2 \left(e x +d \right)^{2} e^{4}}+\frac{\left(A b \,e^{2}-A c d e -B d b e +B c \,d^{2}\right) d}{5 \left(e x +d \right)^{5} e^{4}}-\frac{A b \,e^{2}-2 A c d e -2 B d b e +3 B c \,d^{2}}{4 \left(e x +d \right)^{4} e^{4}}-\frac{A c e +B b e -3 B c d}{3 \left(e x +d \right)^{3} e^{4}}"," ",0,"-1/4*(A*b*e^2-2*A*c*d*e-2*B*b*d*e+3*B*c*d^2)/e^4/(e*x+d)^4+1/5*d*(A*b*e^2-A*c*d*e-B*b*d*e+B*c*d^2)/e^4/(e*x+d)^5-1/2*B*c/e^4/(e*x+d)^2-1/3*(A*c*e+B*b*e-3*B*c*d)/e^4/(e*x+d)^3","A"
1114,1,1616,282,0.057000," ","int((B*x+A)*(e*x+d)^m*(c*x^2+b*x)^2,x)","\frac{\left(B \,c^{2} e^{5} m^{5} x^{5}+A \,c^{2} e^{5} m^{5} x^{4}+2 B b c \,e^{5} m^{5} x^{4}+15 B \,c^{2} e^{5} m^{4} x^{5}+2 A b c \,e^{5} m^{5} x^{3}+16 A \,c^{2} e^{5} m^{4} x^{4}+B \,b^{2} e^{5} m^{5} x^{3}+32 B b c \,e^{5} m^{4} x^{4}-5 B \,c^{2} d \,e^{4} m^{4} x^{4}+85 B \,c^{2} e^{5} m^{3} x^{5}+A \,b^{2} e^{5} m^{5} x^{2}+34 A b c \,e^{5} m^{4} x^{3}-4 A \,c^{2} d \,e^{4} m^{4} x^{3}+95 A \,c^{2} e^{5} m^{3} x^{4}+17 B \,b^{2} e^{5} m^{4} x^{3}-8 B b c d \,e^{4} m^{4} x^{3}+190 B b c \,e^{5} m^{3} x^{4}-50 B \,c^{2} d \,e^{4} m^{3} x^{4}+225 B \,c^{2} e^{5} m^{2} x^{5}+18 A \,b^{2} e^{5} m^{4} x^{2}-6 A b c d \,e^{4} m^{4} x^{2}+214 A b c \,e^{5} m^{3} x^{3}-48 A \,c^{2} d \,e^{4} m^{3} x^{3}+260 A \,c^{2} e^{5} m^{2} x^{4}-3 B \,b^{2} d \,e^{4} m^{4} x^{2}+107 B \,b^{2} e^{5} m^{3} x^{3}-96 B b c d \,e^{4} m^{3} x^{3}+520 B b c \,e^{5} m^{2} x^{4}+20 B \,c^{2} d^{2} e^{3} m^{3} x^{3}-175 B \,c^{2} d \,e^{4} m^{2} x^{4}+274 B \,c^{2} e^{5} m \,x^{5}-2 A \,b^{2} d \,e^{4} m^{4} x +121 A \,b^{2} e^{5} m^{3} x^{2}-84 A b c d \,e^{4} m^{3} x^{2}+614 A b c \,e^{5} m^{2} x^{3}+12 A \,c^{2} d^{2} e^{3} m^{3} x^{2}-188 A \,c^{2} d \,e^{4} m^{2} x^{3}+324 A \,c^{2} e^{5} m \,x^{4}-42 B \,b^{2} d \,e^{4} m^{3} x^{2}+307 B \,b^{2} e^{5} m^{2} x^{3}+24 B b c \,d^{2} e^{3} m^{3} x^{2}-376 B b c d \,e^{4} m^{2} x^{3}+648 B b c \,e^{5} m \,x^{4}+120 B \,c^{2} d^{2} e^{3} m^{2} x^{3}-250 B \,c^{2} d \,e^{4} m \,x^{4}+120 B \,c^{2} x^{5} e^{5}-32 A \,b^{2} d \,e^{4} m^{3} x +372 A \,b^{2} e^{5} m^{2} x^{2}+12 A b c \,d^{2} e^{3} m^{3} x -390 A b c d \,e^{4} m^{2} x^{2}+792 A b c \,e^{5} m \,x^{3}+108 A \,c^{2} d^{2} e^{3} m^{2} x^{2}-288 A \,c^{2} d \,e^{4} m \,x^{3}+144 A \,c^{2} e^{5} x^{4}+6 B \,b^{2} d^{2} e^{3} m^{3} x -195 B \,b^{2} d \,e^{4} m^{2} x^{2}+396 B \,b^{2} e^{5} m \,x^{3}+216 B b c \,d^{2} e^{3} m^{2} x^{2}-576 B b c d \,e^{4} m \,x^{3}+288 B b c \,e^{5} x^{4}-60 B \,c^{2} d^{3} e^{2} m^{2} x^{2}+220 B \,c^{2} d^{2} e^{3} m \,x^{3}-120 B \,c^{2} d \,e^{4} x^{4}+2 A \,b^{2} d^{2} e^{3} m^{3}-178 A \,b^{2} d \,e^{4} m^{2} x +508 A \,b^{2} e^{5} m \,x^{2}+144 A b c \,d^{2} e^{3} m^{2} x -672 A b c d \,e^{4} m \,x^{2}+360 A b c \,e^{5} x^{3}-24 A \,c^{2} d^{3} e^{2} m^{2} x +240 A \,c^{2} d^{2} e^{3} m \,x^{2}-144 A \,c^{2} d \,e^{4} x^{3}+72 B \,b^{2} d^{2} e^{3} m^{2} x -336 B \,b^{2} d \,e^{4} m \,x^{2}+180 B \,b^{2} e^{5} x^{3}-48 B b c \,d^{3} e^{2} m^{2} x +480 B b c \,d^{2} e^{3} m \,x^{2}-288 B b c d \,e^{4} x^{3}-180 B \,c^{2} d^{3} e^{2} m \,x^{2}+120 B \,c^{2} d^{2} e^{3} x^{3}+30 A \,b^{2} d^{2} e^{3} m^{2}-388 A \,b^{2} d \,e^{4} m x +240 A \,b^{2} e^{5} x^{2}-12 A b c \,d^{3} e^{2} m^{2}+492 A b c \,d^{2} e^{3} m x -360 A b c d \,e^{4} x^{2}-168 A \,c^{2} d^{3} e^{2} m x +144 A \,c^{2} d^{2} e^{3} x^{2}-6 B \,b^{2} d^{3} e^{2} m^{2}+246 B \,b^{2} d^{2} e^{3} m x -180 B \,b^{2} d \,e^{4} x^{2}-336 B b c \,d^{3} e^{2} m x +288 B b c \,d^{2} e^{3} x^{2}+120 B \,c^{2} d^{4} e m x -120 B \,c^{2} d^{3} e^{2} x^{2}+148 A \,b^{2} d^{2} e^{3} m -240 A \,b^{2} d \,e^{4} x -132 A b c \,d^{3} e^{2} m +360 A b c \,d^{2} e^{3} x +24 A \,c^{2} d^{4} e m -144 A \,c^{2} d^{3} e^{2} x -66 B \,b^{2} d^{3} e^{2} m +180 B \,b^{2} d^{2} e^{3} x +48 B b c \,d^{4} e m -288 B b c \,d^{3} e^{2} x +120 B \,c^{2} d^{4} e x +240 A \,b^{2} d^{2} e^{3}-360 A b c \,d^{3} e^{2}+144 A \,c^{2} d^{4} e -180 B \,b^{2} d^{3} e^{2}+288 B b c \,d^{4} e -120 B \,c^{2} d^{5}\right) \left(e x +d \right)^{m +1}}{\left(m^{6}+21 m^{5}+175 m^{4}+735 m^{3}+1624 m^{2}+1764 m +720\right) e^{6}}"," ",0,"(e*x+d)^(m+1)*(B*c^2*e^5*m^5*x^5+A*c^2*e^5*m^5*x^4+2*B*b*c*e^5*m^5*x^4+15*B*c^2*e^5*m^4*x^5+2*A*b*c*e^5*m^5*x^3+16*A*c^2*e^5*m^4*x^4+B*b^2*e^5*m^5*x^3+32*B*b*c*e^5*m^4*x^4-5*B*c^2*d*e^4*m^4*x^4+85*B*c^2*e^5*m^3*x^5+A*b^2*e^5*m^5*x^2+34*A*b*c*e^5*m^4*x^3-4*A*c^2*d*e^4*m^4*x^3+95*A*c^2*e^5*m^3*x^4+17*B*b^2*e^5*m^4*x^3-8*B*b*c*d*e^4*m^4*x^3+190*B*b*c*e^5*m^3*x^4-50*B*c^2*d*e^4*m^3*x^4+225*B*c^2*e^5*m^2*x^5+18*A*b^2*e^5*m^4*x^2-6*A*b*c*d*e^4*m^4*x^2+214*A*b*c*e^5*m^3*x^3-48*A*c^2*d*e^4*m^3*x^3+260*A*c^2*e^5*m^2*x^4-3*B*b^2*d*e^4*m^4*x^2+107*B*b^2*e^5*m^3*x^3-96*B*b*c*d*e^4*m^3*x^3+520*B*b*c*e^5*m^2*x^4+20*B*c^2*d^2*e^3*m^3*x^3-175*B*c^2*d*e^4*m^2*x^4+274*B*c^2*e^5*m*x^5-2*A*b^2*d*e^4*m^4*x+121*A*b^2*e^5*m^3*x^2-84*A*b*c*d*e^4*m^3*x^2+614*A*b*c*e^5*m^2*x^3+12*A*c^2*d^2*e^3*m^3*x^2-188*A*c^2*d*e^4*m^2*x^3+324*A*c^2*e^5*m*x^4-42*B*b^2*d*e^4*m^3*x^2+307*B*b^2*e^5*m^2*x^3+24*B*b*c*d^2*e^3*m^3*x^2-376*B*b*c*d*e^4*m^2*x^3+648*B*b*c*e^5*m*x^4+120*B*c^2*d^2*e^3*m^2*x^3-250*B*c^2*d*e^4*m*x^4+120*B*c^2*e^5*x^5-32*A*b^2*d*e^4*m^3*x+372*A*b^2*e^5*m^2*x^2+12*A*b*c*d^2*e^3*m^3*x-390*A*b*c*d*e^4*m^2*x^2+792*A*b*c*e^5*m*x^3+108*A*c^2*d^2*e^3*m^2*x^2-288*A*c^2*d*e^4*m*x^3+144*A*c^2*e^5*x^4+6*B*b^2*d^2*e^3*m^3*x-195*B*b^2*d*e^4*m^2*x^2+396*B*b^2*e^5*m*x^3+216*B*b*c*d^2*e^3*m^2*x^2-576*B*b*c*d*e^4*m*x^3+288*B*b*c*e^5*x^4-60*B*c^2*d^3*e^2*m^2*x^2+220*B*c^2*d^2*e^3*m*x^3-120*B*c^2*d*e^4*x^4+2*A*b^2*d^2*e^3*m^3-178*A*b^2*d*e^4*m^2*x+508*A*b^2*e^5*m*x^2+144*A*b*c*d^2*e^3*m^2*x-672*A*b*c*d*e^4*m*x^2+360*A*b*c*e^5*x^3-24*A*c^2*d^3*e^2*m^2*x+240*A*c^2*d^2*e^3*m*x^2-144*A*c^2*d*e^4*x^3+72*B*b^2*d^2*e^3*m^2*x-336*B*b^2*d*e^4*m*x^2+180*B*b^2*e^5*x^3-48*B*b*c*d^3*e^2*m^2*x+480*B*b*c*d^2*e^3*m*x^2-288*B*b*c*d*e^4*x^3-180*B*c^2*d^3*e^2*m*x^2+120*B*c^2*d^2*e^3*x^3+30*A*b^2*d^2*e^3*m^2-388*A*b^2*d*e^4*m*x+240*A*b^2*e^5*x^2-12*A*b*c*d^3*e^2*m^2+492*A*b*c*d^2*e^3*m*x-360*A*b*c*d*e^4*x^2-168*A*c^2*d^3*e^2*m*x+144*A*c^2*d^2*e^3*x^2-6*B*b^2*d^3*e^2*m^2+246*B*b^2*d^2*e^3*m*x-180*B*b^2*d*e^4*x^2-336*B*b*c*d^3*e^2*m*x+288*B*b*c*d^2*e^3*x^2+120*B*c^2*d^4*e*m*x-120*B*c^2*d^3*e^2*x^2+148*A*b^2*d^2*e^3*m-240*A*b^2*d*e^4*x-132*A*b*c*d^3*e^2*m+360*A*b*c*d^2*e^3*x+24*A*c^2*d^4*e*m-144*A*c^2*d^3*e^2*x-66*B*b^2*d^3*e^2*m+180*B*b^2*d^2*e^3*x+48*B*b*c*d^4*e*m-288*B*b*c*d^3*e^2*x+120*B*c^2*d^4*e*x+240*A*b^2*d^2*e^3-360*A*b*c*d^3*e^2+144*A*c^2*d^4*e-180*B*b^2*d^3*e^2+288*B*b*c*d^4*e-120*B*c^2*d^5)/e^6/(m^6+21*m^5+175*m^4+735*m^3+1624*m^2+1764*m+720)","B"
1115,1,247,214,0.039000," ","int((B*x+A)*(e*x+d)^3*(c*x^2+b*x)^2,x)","\frac{B \,c^{2} e^{3} x^{9}}{9}+\frac{A \,b^{2} d^{3} x^{3}}{3}+\frac{\left(2 B b c \,e^{3}+\left(A \,e^{3}+3 B d \,e^{2}\right) c^{2}\right) x^{8}}{8}+\frac{\left(B \,b^{2} e^{3}+2 \left(A \,e^{3}+3 B d \,e^{2}\right) b c +\left(3 A d \,e^{2}+3 B \,d^{2} e \right) c^{2}\right) x^{7}}{7}+\frac{\left(\left(A \,e^{3}+3 B d \,e^{2}\right) b^{2}+2 \left(3 A d \,e^{2}+3 B \,d^{2} e \right) b c +\left(3 A \,d^{2} e +B \,d^{3}\right) c^{2}\right) x^{6}}{6}+\frac{\left(A \,c^{2} d^{3}+\left(3 A d \,e^{2}+3 B \,d^{2} e \right) b^{2}+2 \left(3 A \,d^{2} e +B \,d^{3}\right) b c \right) x^{5}}{5}+\frac{\left(2 A b c \,d^{3}+\left(3 A \,d^{2} e +B \,d^{3}\right) b^{2}\right) x^{4}}{4}"," ",0,"1/9*B*c^2*e^3*x^9+1/8*((A*e^3+3*B*d*e^2)*c^2+2*B*e^3*b*c)*x^8+1/7*((3*A*d*e^2+3*B*d^2*e)*c^2+2*(A*e^3+3*B*d*e^2)*b*c+B*e^3*b^2)*x^7+1/6*((3*A*d^2*e+B*d^3)*c^2+2*(3*A*d*e^2+3*B*d^2*e)*b*c+(A*e^3+3*B*d*e^2)*b^2)*x^6+1/5*(A*d^3*c^2+2*(3*A*d^2*e+B*d^3)*b*c+(3*A*d*e^2+3*B*d^2*e)*b^2)*x^5+1/4*(2*A*d^3*b*c+(3*A*d^2*e+B*d^3)*b^2)*x^4+1/3*A*b^2*d^3*x^3","A"
1116,1,172,150,0.044000," ","int((B*x+A)*(e*x+d)^2*(c*x^2+b*x)^2,x)","\frac{B \,c^{2} e^{2} x^{8}}{8}+\frac{A \,b^{2} d^{2} x^{3}}{3}+\frac{\left(2 B b c \,e^{2}+\left(A \,e^{2}+2 B d e \right) c^{2}\right) x^{7}}{7}+\frac{\left(B \,b^{2} e^{2}+2 \left(A \,e^{2}+2 B d e \right) b c +\left(2 A d e +B \,d^{2}\right) c^{2}\right) x^{6}}{6}+\frac{\left(A \,c^{2} d^{2}+\left(A \,e^{2}+2 B d e \right) b^{2}+2 \left(2 A d e +B \,d^{2}\right) b c \right) x^{5}}{5}+\frac{\left(2 A b c \,d^{2}+\left(2 A d e +B \,d^{2}\right) b^{2}\right) x^{4}}{4}"," ",0,"1/8*B*c^2*e^2*x^8+1/7*((A*e^2+2*B*d*e)*c^2+2*B*e^2*b*c)*x^7+1/6*((2*A*d*e+B*d^2)*c^2+2*(A*e^2+2*B*d*e)*b*c+B*e^2*b^2)*x^6+1/5*(A*c^2*d^2+2*(2*A*d*e+B*d^2)*b*c+(A*e^2+2*B*d*e)*b^2)*x^5+1/4*(2*A*d^2*b*c+(2*A*d*e+B*d^2)*b^2)*x^4+1/3*A*b^2*d^2*x^3","A"
1117,1,97,90,0.044000," ","int((B*x+A)*(e*x+d)*(c*x^2+b*x)^2,x)","\frac{B \,c^{2} e \,x^{7}}{7}+\frac{A \,b^{2} d \,x^{3}}{3}+\frac{\left(2 B b c e +\left(A e +B d \right) c^{2}\right) x^{6}}{6}+\frac{\left(A \,c^{2} d +B \,b^{2} e +2 \left(A e +B d \right) b c \right) x^{5}}{5}+\frac{\left(2 A b c d +\left(A e +B d \right) b^{2}\right) x^{4}}{4}"," ",0,"1/7*B*c^2*e*x^7+1/6*((A*e+B*d)*c^2+2*B*e*b*c)*x^6+1/5*(A*c^2*d+b^2*B*e+2*b*c*(A*e+B*d))*x^5+1/4*(2*A*b*c*d+b^2*(A*e+B*d))*x^4+1/3*A*b^2*d*x^3","A"
1118,1,52,47,0.039000," ","int((B*x+A)*(c*x^2+b*x)^2,x)","\frac{B \,c^{2} x^{6}}{6}+\frac{A \,b^{2} x^{3}}{3}+\frac{\left(A \,c^{2}+2 b B c \right) x^{5}}{5}+\frac{\left(2 A b c +b^{2} B \right) x^{4}}{4}"," ",0,"1/6*B*c^2*x^6+1/5*(A*c^2+2*B*b*c)*x^5+1/4*(2*A*b*c+B*b^2)*x^4+1/3*A*b^2*x^3","A"
1119,1,369,153,0.047000," ","int((B*x+A)*(c*x^2+b*x)^2/(e*x+d),x)","\frac{B \,c^{2} x^{5}}{5 e}+\frac{A \,c^{2} x^{4}}{4 e}+\frac{B b c \,x^{4}}{2 e}-\frac{B \,c^{2} d \,x^{4}}{4 e^{2}}+\frac{2 A b c \,x^{3}}{3 e}-\frac{A \,c^{2} d \,x^{3}}{3 e^{2}}+\frac{B \,b^{2} x^{3}}{3 e}-\frac{2 B b c d \,x^{3}}{3 e^{2}}+\frac{B \,c^{2} d^{2} x^{3}}{3 e^{3}}+\frac{A \,b^{2} x^{2}}{2 e}-\frac{A b c d \,x^{2}}{e^{2}}+\frac{A \,c^{2} d^{2} x^{2}}{2 e^{3}}-\frac{B \,b^{2} d \,x^{2}}{2 e^{2}}+\frac{B b c \,d^{2} x^{2}}{e^{3}}-\frac{B \,c^{2} d^{3} x^{2}}{2 e^{4}}+\frac{A \,b^{2} d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{A \,b^{2} d x}{e^{2}}-\frac{2 A b c \,d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{2 A b c \,d^{2} x}{e^{3}}+\frac{A \,c^{2} d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{A \,c^{2} d^{3} x}{e^{4}}-\frac{B \,b^{2} d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{B \,b^{2} d^{2} x}{e^{3}}+\frac{2 B b c \,d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{2 B b c \,d^{3} x}{e^{4}}-\frac{B \,c^{2} d^{5} \ln \left(e x +d \right)}{e^{6}}+\frac{B \,c^{2} d^{4} x}{e^{5}}"," ",0,"1/e^3*B*x*b^2*d^2-1/e^2*A*x*b^2*d-1/e^4*A*x*c^2*d^3+1/3/e^3*B*x^3*c^2*d^2+1/2/e^3*A*x^2*c^2*d^2-1/2/e^2*B*x^2*b^2*d-1/2/e^4*B*x^2*c^2*d^3+2/3/e*A*x^3*b*c-1/3/e^2*A*x^3*c^2*d-1/4/e^2*B*x^4*c^2*d+1/2/e*B*x^4*b*c+2/e^3*A*x*b*c*d^2-1/e^2*A*x^2*b*c*d+1/e^3*B*x^2*b*c*d^2-2/e^4*B*x*b*c*d^3-2/3/e^2*B*x^3*b*c*d-2*d^3/e^4*ln(e*x+d)*A*b*c+2*d^4/e^5*ln(e*x+d)*B*b*c+1/3/e*B*x^3*b^2+1/2/e*A*x^2*b^2+1/4/e*A*x^4*c^2+d^4/e^5*ln(e*x+d)*A*c^2+1/e^5*B*x*c^2*d^4+d^2/e^3*ln(e*x+d)*A*b^2-d^3/e^4*ln(e*x+d)*B*b^2-d^5/e^6*ln(e*x+d)*B*c^2+1/5*B*c^2*x^5/e","B"
1120,1,394,188,0.053000," ","int((B*x+A)*(c*x^2+b*x)^2/(e*x+d)^2,x)","\frac{B \,c^{2} x^{4}}{4 e^{2}}+\frac{A \,c^{2} x^{3}}{3 e^{2}}+\frac{2 B b c \,x^{3}}{3 e^{2}}-\frac{2 B \,c^{2} d \,x^{3}}{3 e^{3}}+\frac{A b c \,x^{2}}{e^{2}}-\frac{A \,c^{2} d \,x^{2}}{e^{3}}+\frac{B \,b^{2} x^{2}}{2 e^{2}}-\frac{2 B b c d \,x^{2}}{e^{3}}+\frac{3 B \,c^{2} d^{2} x^{2}}{2 e^{4}}-\frac{A \,b^{2} d^{2}}{\left(e x +d \right) e^{3}}-\frac{2 A \,b^{2} d \ln \left(e x +d \right)}{e^{3}}+\frac{A \,b^{2} x}{e^{2}}+\frac{2 A b c \,d^{3}}{\left(e x +d \right) e^{4}}+\frac{6 A b c \,d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{4 A b c d x}{e^{3}}-\frac{A \,c^{2} d^{4}}{\left(e x +d \right) e^{5}}-\frac{4 A \,c^{2} d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{3 A \,c^{2} d^{2} x}{e^{4}}+\frac{B \,b^{2} d^{3}}{\left(e x +d \right) e^{4}}+\frac{3 B \,b^{2} d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{2 B \,b^{2} d x}{e^{3}}-\frac{2 B b c \,d^{4}}{\left(e x +d \right) e^{5}}-\frac{8 B b c \,d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{6 B b c \,d^{2} x}{e^{4}}+\frac{B \,c^{2} d^{5}}{\left(e x +d \right) e^{6}}+\frac{5 B \,c^{2} d^{4} \ln \left(e x +d \right)}{e^{6}}-\frac{4 B \,c^{2} d^{3} x}{e^{5}}"," ",0,"-8*d^3/e^5*ln(e*x+d)*B*b*c+6*d^2/e^4*ln(e*x+d)*A*b*c+2*d^3/e^4/(e*x+d)*A*b*c-2*d^4/e^5/(e*x+d)*B*b*c-2/e^3*B*x^2*b*c*d-4/e^3*A*b*c*d*x+6/e^4*B*b*c*d^2*x+1/3/e^2*A*x^3*c^2+1/e^2*A*b^2*x+3/2/e^4*B*x^2*c^2*d^2+3/e^4*A*c^2*d^2*x+2/3/e^2*B*x^3*b*c-2/3/e^3*B*x^3*c^2*d-2*d/e^3*ln(e*x+d)*A*b^2-4*d^3/e^5*ln(e*x+d)*A*c^2+3*d^2/e^4*ln(e*x+d)*B*b^2+5*d^4/e^6*ln(e*x+d)*B*c^2-2/e^3*B*b^2*d*x-4/e^5*B*c^2*d^3*x+d^5/e^6/(e*x+d)*B*c^2-d^2/e^3/(e*x+d)*A*b^2+d^3/e^4/(e*x+d)*B*b^2+1/e^2*A*x^2*b*c-1/e^3*A*x^2*c^2*d-d^4/e^5/(e*x+d)*A*c^2+1/4*B*c^2*x^4/e^2+1/2*b^2*B*x^2/e^2","B"
1121,1,420,226,0.057000," ","int((B*x+A)*(c*x^2+b*x)^2/(e*x+d)^3,x)","\frac{B \,c^{2} x^{3}}{3 e^{3}}-\frac{A \,b^{2} d^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{A b c \,d^{3}}{\left(e x +d \right)^{2} e^{4}}-\frac{A \,c^{2} d^{4}}{2 \left(e x +d \right)^{2} e^{5}}+\frac{A \,c^{2} x^{2}}{2 e^{3}}+\frac{B \,b^{2} d^{3}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{B b c \,d^{4}}{\left(e x +d \right)^{2} e^{5}}+\frac{B b c \,x^{2}}{e^{3}}+\frac{B \,c^{2} d^{5}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{3 B \,c^{2} d \,x^{2}}{2 e^{4}}+\frac{2 A \,b^{2} d}{\left(e x +d \right) e^{3}}+\frac{A \,b^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{6 A b c \,d^{2}}{\left(e x +d \right) e^{4}}-\frac{6 A b c d \ln \left(e x +d \right)}{e^{4}}+\frac{2 A b c x}{e^{3}}+\frac{4 A \,c^{2} d^{3}}{\left(e x +d \right) e^{5}}+\frac{6 A \,c^{2} d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{3 A \,c^{2} d x}{e^{4}}-\frac{3 B \,b^{2} d^{2}}{\left(e x +d \right) e^{4}}-\frac{3 B \,b^{2} d \ln \left(e x +d \right)}{e^{4}}+\frac{B \,b^{2} x}{e^{3}}+\frac{8 B b c \,d^{3}}{\left(e x +d \right) e^{5}}+\frac{12 B b c \,d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{6 B b c d x}{e^{4}}-\frac{5 B \,c^{2} d^{4}}{\left(e x +d \right) e^{6}}-\frac{10 B \,c^{2} d^{3} \ln \left(e x +d \right)}{e^{6}}+\frac{6 B \,c^{2} d^{2} x}{e^{5}}"," ",0,"-6/e^4*ln(e*x+d)*A*b*c*d+12/e^5*ln(e*x+d)*B*b*c*d^2+d^3/e^4/(e*x+d)^2*A*b*c-d^4/e^5/(e*x+d)^2*B*b*c-6*d^2/e^4/(e*x+d)*A*b*c+8*d^3/e^5/(e*x+d)*B*b*c-6/e^4*B*b*c*d*x+1/e^3*ln(e*x+d)*A*b^2+1/2/e^3*A*x^2*c^2+2*d/e^3/(e*x+d)*A*b^2+4*d^3/e^5/(e*x+d)*A*c^2-3*d^2/e^4/(e*x+d)*B*b^2-5*d^4/e^6/(e*x+d)*B*c^2-1/2*d^2/e^3/(e*x+d)^2*A*b^2-1/2*d^4/e^5/(e*x+d)^2*A*c^2+1/2*d^3/e^4/(e*x+d)^2*B*b^2+1/2*d^5/e^6/(e*x+d)^2*B*c^2+1/e^3*B*x^2*b*c-3/2/e^4*B*x^2*c^2*d-10/e^6*ln(e*x+d)*B*c^2*d^3+2/e^3*A*b*c*x-3/e^4*A*c^2*d*x+6/e^5*B*c^2*d^2*x+6/e^5*ln(e*x+d)*A*c^2*d^2-3/e^4*ln(e*x+d)*B*b^2*d+b^2*B*x/e^3+1/3*B*c^2*x^3/e^3","A"
1122,1,446,231,0.069000," ","int((B*x+A)*(c*x^2+b*x)^2/(e*x+d)^4,x)","-\frac{A \,b^{2} d^{2}}{3 \left(e x +d \right)^{3} e^{3}}+\frac{2 A b c \,d^{3}}{3 \left(e x +d \right)^{3} e^{4}}-\frac{A \,c^{2} d^{4}}{3 \left(e x +d \right)^{3} e^{5}}+\frac{B \,b^{2} d^{3}}{3 \left(e x +d \right)^{3} e^{4}}-\frac{2 B b c \,d^{4}}{3 \left(e x +d \right)^{3} e^{5}}+\frac{B \,c^{2} d^{5}}{3 \left(e x +d \right)^{3} e^{6}}+\frac{A \,b^{2} d}{\left(e x +d \right)^{2} e^{3}}-\frac{3 A b c \,d^{2}}{\left(e x +d \right)^{2} e^{4}}+\frac{2 A \,c^{2} d^{3}}{\left(e x +d \right)^{2} e^{5}}-\frac{3 B \,b^{2} d^{2}}{2 \left(e x +d \right)^{2} e^{4}}+\frac{4 B b c \,d^{3}}{\left(e x +d \right)^{2} e^{5}}-\frac{5 B \,c^{2} d^{4}}{2 \left(e x +d \right)^{2} e^{6}}+\frac{B \,c^{2} x^{2}}{2 e^{4}}-\frac{A \,b^{2}}{\left(e x +d \right) e^{3}}+\frac{6 A b c d}{\left(e x +d \right) e^{4}}+\frac{2 A b c \ln \left(e x +d \right)}{e^{4}}-\frac{6 A \,c^{2} d^{2}}{\left(e x +d \right) e^{5}}-\frac{4 A \,c^{2} d \ln \left(e x +d \right)}{e^{5}}+\frac{A \,c^{2} x}{e^{4}}+\frac{3 B \,b^{2} d}{\left(e x +d \right) e^{4}}+\frac{B \,b^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{12 B b c \,d^{2}}{\left(e x +d \right) e^{5}}-\frac{8 B b c d \ln \left(e x +d \right)}{e^{5}}+\frac{2 B b c x}{e^{4}}+\frac{10 B \,c^{2} d^{3}}{\left(e x +d \right) e^{6}}+\frac{10 B \,c^{2} d^{2} \ln \left(e x +d \right)}{e^{6}}-\frac{4 B \,c^{2} d x}{e^{5}}"," ",0,"c^2/e^4*A*x-1/e^3/(e*x+d)*A*b^2-12/e^5/(e*x+d)*B*b*c*d^2-8/e^5*ln(e*x+d)*B*b*c*d-2/3*d^4/e^5/(e*x+d)^3*B*b*c+2/3*d^3/e^4/(e*x+d)^3*A*b*c+4*d^3/e^5/(e*x+d)^2*B*b*c-3*d^2/e^4/(e*x+d)^2*A*b*c+6/e^4/(e*x+d)*A*b*c*d-1/3*d^2/e^3/(e*x+d)^3*A*b^2-1/3*d^4/e^5/(e*x+d)^3*A*c^2-5/2*d^4/e^6/(e*x+d)^2*B*c^2+2/e^4*ln(e*x+d)*A*b*c-4/e^5*ln(e*x+d)*A*c^2*d+10/e^6*ln(e*x+d)*B*c^2*d^2-4*c^2/e^5*B*d*x-6/e^5/(e*x+d)*A*c^2*d^2+3/e^4/(e*x+d)*B*b^2*d+10/e^6/(e*x+d)*B*c^2*d^3+d/e^3/(e*x+d)^2*A*b^2+2*d^3/e^5/(e*x+d)^2*A*c^2-3/2*d^2/e^4/(e*x+d)^2*B*b^2+1/3*d^3/e^4/(e*x+d)^3*B*b^2+1/3*d^5/e^6/(e*x+d)^3*B*c^2+2*c/e^4*B*b*x+1/2*B*c^2*x^2/e^4+b^2*B*ln(e*x+d)/e^4","A"
1123,1,465,234,0.063000," ","int((B*x+A)*(c*x^2+b*x)^2/(e*x+d)^5,x)","-\frac{A \,b^{2} d^{2}}{4 \left(e x +d \right)^{4} e^{3}}+\frac{A b c \,d^{3}}{2 \left(e x +d \right)^{4} e^{4}}-\frac{A \,c^{2} d^{4}}{4 \left(e x +d \right)^{4} e^{5}}+\frac{B \,b^{2} d^{3}}{4 \left(e x +d \right)^{4} e^{4}}-\frac{B b c \,d^{4}}{2 \left(e x +d \right)^{4} e^{5}}+\frac{B \,c^{2} d^{5}}{4 \left(e x +d \right)^{4} e^{6}}+\frac{2 A \,b^{2} d}{3 \left(e x +d \right)^{3} e^{3}}-\frac{2 A b c \,d^{2}}{\left(e x +d \right)^{3} e^{4}}+\frac{4 A \,c^{2} d^{3}}{3 \left(e x +d \right)^{3} e^{5}}-\frac{B \,b^{2} d^{2}}{\left(e x +d \right)^{3} e^{4}}+\frac{8 B b c \,d^{3}}{3 \left(e x +d \right)^{3} e^{5}}-\frac{5 B \,c^{2} d^{4}}{3 \left(e x +d \right)^{3} e^{6}}-\frac{A \,b^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{3 A b c d}{\left(e x +d \right)^{2} e^{4}}-\frac{3 A \,c^{2} d^{2}}{\left(e x +d \right)^{2} e^{5}}+\frac{3 B \,b^{2} d}{2 \left(e x +d \right)^{2} e^{4}}-\frac{6 B b c \,d^{2}}{\left(e x +d \right)^{2} e^{5}}+\frac{5 B \,c^{2} d^{3}}{\left(e x +d \right)^{2} e^{6}}-\frac{2 A b c}{\left(e x +d \right) e^{4}}+\frac{4 A \,c^{2} d}{\left(e x +d \right) e^{5}}+\frac{A \,c^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{B \,b^{2}}{\left(e x +d \right) e^{4}}+\frac{8 B b c d}{\left(e x +d \right) e^{5}}+\frac{2 B b c \ln \left(e x +d \right)}{e^{5}}-\frac{10 B \,c^{2} d^{2}}{\left(e x +d \right) e^{6}}-\frac{5 B \,c^{2} d \ln \left(e x +d \right)}{e^{6}}+\frac{B \,c^{2} x}{e^{5}}"," ",0,"-1/e^4/(e*x+d)*B*b^2+c^2/e^5*ln(e*x+d)*A-1/2/e^3/(e*x+d)^2*A*b^2+2*c/e^5*ln(e*x+d)*B*b-5*c^2/e^6*ln(e*x+d)*B*d-d^2/e^4/(e*x+d)^3*B*b^2-5/3*d^4/e^6/(e*x+d)^3*B*c^2-2/e^4/(e*x+d)*A*b*c+4/e^5/(e*x+d)*A*c^2*d-1/2*d^4/e^5/(e*x+d)^4*B*b*c+8/e^5/(e*x+d)*B*b*c*d+1/2*d^3/e^4/(e*x+d)^4*A*b*c+3/e^4/(e*x+d)^2*A*b*c*d-6/e^5/(e*x+d)^2*B*b*c*d^2+8/3*d^3/e^5/(e*x+d)^3*B*b*c-2*d^2/e^4/(e*x+d)^3*A*b*c+5/e^6/(e*x+d)^2*B*c^2*d^3+2/3*d/e^3/(e*x+d)^3*A*b^2+4/3*d^3/e^5/(e*x+d)^3*A*c^2-10/e^6/(e*x+d)*B*c^2*d^2+1/4*d^3/e^4/(e*x+d)^4*B*b^2+1/4*d^5/e^6/(e*x+d)^4*B*c^2-3/e^5/(e*x+d)^2*A*c^2*d^2+3/2/e^4/(e*x+d)^2*B*b^2*d-1/4*d^2/e^3/(e*x+d)^4*A*b^2-1/4*d^4/e^5/(e*x+d)^4*A*c^2+B*c^2*x/e^5","A"
1124,1,472,240,0.063000," ","int((B*x+A)*(c*x^2+b*x)^2/(e*x+d)^6,x)","-\frac{A \,b^{2} d^{2}}{5 \left(e x +d \right)^{5} e^{3}}+\frac{2 A b c \,d^{3}}{5 \left(e x +d \right)^{5} e^{4}}-\frac{A \,c^{2} d^{4}}{5 \left(e x +d \right)^{5} e^{5}}+\frac{B \,b^{2} d^{3}}{5 \left(e x +d \right)^{5} e^{4}}-\frac{2 B b c \,d^{4}}{5 \left(e x +d \right)^{5} e^{5}}+\frac{B \,c^{2} d^{5}}{5 \left(e x +d \right)^{5} e^{6}}+\frac{A \,b^{2} d}{2 \left(e x +d \right)^{4} e^{3}}-\frac{3 A b c \,d^{2}}{2 \left(e x +d \right)^{4} e^{4}}+\frac{A \,c^{2} d^{3}}{\left(e x +d \right)^{4} e^{5}}-\frac{3 B \,b^{2} d^{2}}{4 \left(e x +d \right)^{4} e^{4}}+\frac{2 B b c \,d^{3}}{\left(e x +d \right)^{4} e^{5}}-\frac{5 B \,c^{2} d^{4}}{4 \left(e x +d \right)^{4} e^{6}}-\frac{A \,b^{2}}{3 \left(e x +d \right)^{3} e^{3}}+\frac{2 A b c d}{\left(e x +d \right)^{3} e^{4}}-\frac{2 A \,c^{2} d^{2}}{\left(e x +d \right)^{3} e^{5}}+\frac{B \,b^{2} d}{\left(e x +d \right)^{3} e^{4}}-\frac{4 B b c \,d^{2}}{\left(e x +d \right)^{3} e^{5}}+\frac{10 B \,c^{2} d^{3}}{3 \left(e x +d \right)^{3} e^{6}}-\frac{A b c}{\left(e x +d \right)^{2} e^{4}}+\frac{2 A \,c^{2} d}{\left(e x +d \right)^{2} e^{5}}-\frac{B \,b^{2}}{2 \left(e x +d \right)^{2} e^{4}}+\frac{4 B b c d}{\left(e x +d \right)^{2} e^{5}}-\frac{5 B \,c^{2} d^{2}}{\left(e x +d \right)^{2} e^{6}}-\frac{A \,c^{2}}{\left(e x +d \right) e^{5}}-\frac{2 B b c}{\left(e x +d \right) e^{5}}+\frac{5 B \,c^{2} d}{\left(e x +d \right) e^{6}}+\frac{B \,c^{2} \ln \left(e x +d \right)}{e^{6}}"," ",0,"-1/3/e^3/(e*x+d)^3*A*b^2-c^2/e^5/(e*x+d)*A-2/5*d^4/e^5/(e*x+d)^5*B*b*c+2*d^3/e^5/(e*x+d)^4*B*b*c-3/2*d^2/e^4/(e*x+d)^4*A*b*c-4/e^5/(e*x+d)^3*B*d^2*b*c+2/e^4/(e*x+d)^3*A*b*c*d+4/e^5/(e*x+d)^2*B*d*b*c+2/5*d^3/e^4/(e*x+d)^5*A*b*c-1/5*d^4/e^5/(e*x+d)^5*A*c^2+1/5*d^3/e^4/(e*x+d)^5*B*b^2-5/4*d^4/e^6/(e*x+d)^4*B*c^2-1/5*d^2/e^3/(e*x+d)^5*A*b^2+d^3/e^5/(e*x+d)^4*A*c^2-3/4*d^2/e^4/(e*x+d)^4*B*b^2+5*c^2/e^6/(e*x+d)*B*d+1/2*d/e^3/(e*x+d)^4*A*b^2+1/5*d^5/e^6/(e*x+d)^5*B*c^2+10/3/e^6/(e*x+d)^3*B*c^2*d^3-1/e^4/(e*x+d)^2*A*b*c+2/e^5/(e*x+d)^2*A*c^2*d-5/e^6/(e*x+d)^2*B*d^2*c^2-2*c/e^5/(e*x+d)*B*b-2/e^5/(e*x+d)^3*A*c^2*d^2+1/e^4/(e*x+d)^3*B*d*b^2+B*c^2*ln(e*x+d)/e^6-1/2*b^2*B/e^4/(e*x+d)^2","A"
1125,1,307,243,0.052000," ","int((B*x+A)*(c*x^2+b*x)^2/(e*x+d)^7,x)","-\frac{B \,c^{2}}{\left(e x +d \right) e^{6}}-\frac{\left(A \,b^{2} e^{3}-2 A b c d \,e^{2}+A \,c^{2} d^{2} e -B d \,b^{2} e^{2}+2 B \,d^{2} b c e -B \,c^{2} d^{3}\right) d^{2}}{6 \left(e x +d \right)^{6} e^{6}}-\frac{\left(A c e +2 B b e -5 B c d \right) c}{2 \left(e x +d \right)^{2} e^{6}}+\frac{\left(2 A \,b^{2} e^{3}-6 A b c d \,e^{2}+4 A \,c^{2} d^{2} e -3 B d \,b^{2} e^{2}+8 B \,d^{2} b c e -5 B \,c^{2} d^{3}\right) d}{5 \left(e x +d \right)^{5} e^{6}}-\frac{A \,b^{2} e^{3}-6 A b c d \,e^{2}+6 A \,c^{2} d^{2} e -3 B d \,b^{2} e^{2}+12 B \,d^{2} b c e -10 B \,c^{2} d^{3}}{4 \left(e x +d \right)^{4} e^{6}}-\frac{2 A b c \,e^{2}-4 A \,c^{2} d e +B \,b^{2} e^{2}-8 B d b c e +10 B \,d^{2} c^{2}}{3 \left(e x +d \right)^{3} e^{6}}"," ",0,"-B*c^2/e^6/(e*x+d)-1/4*(A*b^2*e^3-6*A*b*c*d*e^2+6*A*c^2*d^2*e-3*B*b^2*d*e^2+12*B*b*c*d^2*e-10*B*c^2*d^3)/e^6/(e*x+d)^4+1/5*d*(2*A*b^2*e^3-6*A*b*c*d*e^2+4*A*c^2*d^2*e-3*B*b^2*d*e^2+8*B*b*c*d^2*e-5*B*c^2*d^3)/e^6/(e*x+d)^5-1/6*d^2*(A*b^2*e^3-2*A*b*c*d*e^2+A*c^2*d^2*e-B*b^2*d*e^2+2*B*b*c*d^2*e-B*c^2*d^3)/e^6/(e*x+d)^6-1/2*c*(A*c*e+2*B*b*e-5*B*c*d)/e^6/(e*x+d)^2-1/3*(2*A*b*c*e^2-4*A*c^2*d*e+B*b^2*e^2-8*B*b*c*d*e+10*B*c^2*d^2)/e^6/(e*x+d)^3","A"
1126,1,307,243,0.051000," ","int((B*x+A)*(c*x^2+b*x)^2/(e*x+d)^8,x)","-\frac{B \,c^{2}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{\left(A \,b^{2} e^{3}-2 A b c d \,e^{2}+A \,c^{2} d^{2} e -B d \,b^{2} e^{2}+2 B \,d^{2} b c e -B \,c^{2} d^{3}\right) d^{2}}{7 \left(e x +d \right)^{7} e^{6}}-\frac{\left(A c e +2 B b e -5 B c d \right) c}{3 \left(e x +d \right)^{3} e^{6}}+\frac{\left(2 A \,b^{2} e^{3}-6 A b c d \,e^{2}+4 A \,c^{2} d^{2} e -3 B d \,b^{2} e^{2}+8 B \,d^{2} b c e -5 B \,c^{2} d^{3}\right) d}{6 \left(e x +d \right)^{6} e^{6}}-\frac{2 A b c \,e^{2}-4 A \,c^{2} d e +B \,b^{2} e^{2}-8 B d b c e +10 B \,d^{2} c^{2}}{4 \left(e x +d \right)^{4} e^{6}}-\frac{A \,b^{2} e^{3}-6 A b c d \,e^{2}+6 A \,c^{2} d^{2} e -3 B d \,b^{2} e^{2}+12 B \,d^{2} b c e -10 B \,c^{2} d^{3}}{5 \left(e x +d \right)^{5} e^{6}}"," ",0,"-1/4*(2*A*b*c*e^2-4*A*c^2*d*e+B*b^2*e^2-8*B*b*c*d*e+10*B*c^2*d^2)/e^6/(e*x+d)^4-1/5*(A*b^2*e^3-6*A*b*c*d*e^2+6*A*c^2*d^2*e-3*B*b^2*d*e^2+12*B*b*c*d^2*e-10*B*c^2*d^3)/e^6/(e*x+d)^5+1/6*d*(2*A*b^2*e^3-6*A*b*c*d*e^2+4*A*c^2*d^2*e-3*B*b^2*d*e^2+8*B*b*c*d^2*e-5*B*c^2*d^3)/e^6/(e*x+d)^6-1/2*B*c^2/e^6/(e*x+d)^2-1/7*d^2*(A*b^2*e^3-2*A*b*c*d*e^2+A*c^2*d^2*e-B*b^2*d*e^2+2*B*b*c*d^2*e-B*c^2*d^3)/e^6/(e*x+d)^7-1/3*c*(A*c*e+2*B*b*e-5*B*c*d)/e^6/(e*x+d)^3","A"
1127,1,4138,484,0.072000," ","int((B*x+A)*(e*x+d)^m*(c*x^2+b*x)^3,x)","\text{output too large to display}"," ",0,"-(e*x+d)^(m+1)*(-B*c^3*e^7*m^7*x^7-A*c^3*e^7*m^7*x^6-3*B*b*c^2*e^7*m^7*x^6-28*B*c^3*e^7*m^6*x^7-3*A*b*c^2*e^7*m^7*x^5-29*A*c^3*e^7*m^6*x^6-3*B*b^2*c*e^7*m^7*x^5-87*B*b*c^2*e^7*m^6*x^6+7*B*c^3*d*e^6*m^6*x^6-322*B*c^3*e^7*m^5*x^7-3*A*b^2*c*e^7*m^7*x^4-90*A*b*c^2*e^7*m^6*x^5+6*A*c^3*d*e^6*m^6*x^5-343*A*c^3*e^7*m^5*x^6-B*b^3*e^7*m^7*x^4-90*B*b^2*c*e^7*m^6*x^5+18*B*b*c^2*d*e^6*m^6*x^5-1029*B*b*c^2*e^7*m^5*x^6+147*B*c^3*d*e^6*m^5*x^6-1960*B*c^3*e^7*m^4*x^7-A*b^3*e^7*m^7*x^3-93*A*b^2*c*e^7*m^6*x^4+15*A*b*c^2*d*e^6*m^6*x^4-1098*A*b*c^2*e^7*m^5*x^5+138*A*c^3*d*e^6*m^5*x^5-2135*A*c^3*e^7*m^4*x^6-31*B*b^3*e^7*m^6*x^4+15*B*b^2*c*d*e^6*m^6*x^4-1098*B*b^2*c*e^7*m^5*x^5+414*B*b*c^2*d*e^6*m^5*x^5-6405*B*b*c^2*e^7*m^4*x^6-42*B*c^3*d^2*e^5*m^5*x^5+1225*B*c^3*d*e^6*m^4*x^6-6769*B*c^3*e^7*m^3*x^7-32*A*b^3*e^7*m^6*x^3+12*A*b^2*c*d*e^6*m^6*x^3-1173*A*b^2*c*e^7*m^5*x^4+375*A*b*c^2*d*e^6*m^5*x^4-7020*A*b*c^2*e^7*m^4*x^5-30*A*c^3*d^2*e^5*m^5*x^4+1230*A*c^3*d*e^6*m^4*x^5-7504*A*c^3*e^7*m^3*x^6+4*B*b^3*d*e^6*m^6*x^3-391*B*b^3*e^7*m^5*x^4+375*B*b^2*c*d*e^6*m^5*x^4-7020*B*b^2*c*e^7*m^4*x^5-90*B*b*c^2*d^2*e^5*m^5*x^4+3690*B*b*c^2*d*e^6*m^4*x^5-22512*B*b*c^2*e^7*m^3*x^6-630*B*c^3*d^2*e^5*m^4*x^5+5145*B*c^3*d*e^6*m^3*x^6-13132*B*c^3*e^7*m^2*x^7+3*A*b^3*d*e^6*m^6*x^2-418*A*b^3*e^7*m^5*x^3+324*A*b^2*c*d*e^6*m^5*x^3-7743*A*b^2*c*e^7*m^4*x^4-60*A*b*c^2*d^2*e^5*m^5*x^3+3615*A*b*c^2*d*e^6*m^4*x^4-25227*A*b*c^2*e^7*m^3*x^5-540*A*c^3*d^2*e^5*m^4*x^4+5430*A*c^3*d*e^6*m^3*x^5-14756*A*c^3*e^7*m^2*x^6+108*B*b^3*d*e^6*m^5*x^3-2581*B*b^3*e^7*m^4*x^4-60*B*b^2*c*d^2*e^5*m^5*x^3+3615*B*b^2*c*d*e^6*m^4*x^4-25227*B*b^2*c*e^7*m^3*x^5-1620*B*b*c^2*d^2*e^5*m^4*x^4+16290*B*b*c^2*d*e^6*m^3*x^5-44268*B*b*c^2*e^7*m^2*x^6+210*B*c^3*d^3*e^4*m^4*x^4-3570*B*c^3*d^2*e^5*m^3*x^5+11368*B*c^3*d*e^6*m^2*x^6-13068*B*c^3*e^7*m*x^7+87*A*b^3*d*e^6*m^5*x^2-2864*A*b^3*e^7*m^4*x^3-36*A*b^2*c*d^2*e^5*m^5*x^2+3396*A*b^2*c*d*e^6*m^4*x^3-28632*A*b^2*c*e^7*m^3*x^4-1260*A*b*c^2*d^2*e^5*m^4*x^3+17025*A*b*c^2*d*e^6*m^3*x^4-50490*A*b*c^2*e^7*m^2*x^5+120*A*c^3*d^3*e^4*m^4*x^3-3450*A*c^3*d^2*e^5*m^3*x^4+12444*A*c^3*d*e^6*m^2*x^5-14832*A*c^3*e^7*m*x^6-12*B*b^3*d^2*e^5*m^5*x^2+1132*B*b^3*d*e^6*m^4*x^3-9544*B*b^3*e^7*m^3*x^4-1260*B*b^2*c*d^2*e^5*m^4*x^3+17025*B*b^2*c*d*e^6*m^3*x^4-50490*B*b^2*c*e^7*m^2*x^5+360*B*b*c^2*d^3*e^4*m^4*x^3-10350*B*b*c^2*d^2*e^5*m^3*x^4+37332*B*b*c^2*d*e^6*m^2*x^5-44496*B*b*c^2*e^7*m*x^6+2100*B*c^3*d^3*e^4*m^3*x^4-9450*B*c^3*d^2*e^5*m^2*x^5+12348*B*c^3*d*e^6*m*x^6-5040*B*c^3*e^7*x^7-6*A*b^3*d^2*e^5*m^5*x+993*A*b^3*d*e^6*m^4*x^2-10993*A*b^3*e^7*m^3*x^3-864*A*b^2*c*d^2*e^5*m^4*x^2+17388*A*b^2*c*d*e^6*m^3*x^3-58692*A*b^2*c*e^7*m^2*x^4+180*A*b*c^2*d^3*e^4*m^4*x^2-9420*A*b*c^2*d^2*e^5*m^3*x^3+41010*A*b*c^2*d*e^6*m^2*x^4-51432*A*b*c^2*e^7*m*x^5+1680*A*c^3*d^3*e^4*m^3*x^3-9900*A*c^3*d^2*e^5*m^2*x^4+13872*A*c^3*d*e^6*m*x^5-5760*A*c^3*e^7*x^6-288*B*b^3*d^2*e^5*m^4*x^2+5796*B*b^3*d*e^6*m^3*x^3-19564*B*b^3*e^7*m^2*x^4+180*B*b^2*c*d^3*e^4*m^4*x^2-9420*B*b^2*c*d^2*e^5*m^3*x^3+41010*B*b^2*c*d*e^6*m^2*x^4-51432*B*b^2*c*e^7*m*x^5+5040*B*b*c^2*d^3*e^4*m^3*x^3-29700*B*b*c^2*d^2*e^5*m^2*x^4+41616*B*b*c^2*d*e^6*m*x^5-17280*B*b*c^2*e^7*x^6-840*B*c^3*d^4*e^3*m^3*x^3+7350*B*c^3*d^3*e^4*m^2*x^4-11508*B*c^3*d^2*e^5*m*x^5+5040*B*c^3*d*e^6*x^6-162*A*b^3*d^2*e^5*m^4*x+5613*A*b^3*d*e^6*m^3*x^2-23312*A*b^3*e^7*m^2*x^3+72*A*b^2*c*d^3*e^4*m^4*x-7596*A*b^2*c*d^2*e^5*m^3*x^2+44976*A*b^2*c*d*e^6*m^2*x^3-60912*A*b^2*c*e^7*m*x^4+3240*A*b*c^2*d^3*e^4*m^3*x^2-30420*A*b*c^2*d^2*e^5*m^2*x^3+47400*A*b*c^2*d*e^6*m*x^4-20160*A*b*c^2*e^7*x^5-360*A*c^3*d^4*e^3*m^3*x^2+7080*A*c^3*d^3*e^4*m^2*x^3-12720*A*c^3*d^2*e^5*m*x^4+5760*A*c^3*d*e^6*x^5+24*B*b^3*d^3*e^4*m^4*x-2532*B*b^3*d^2*e^5*m^3*x^2+14992*B*b^3*d*e^6*m^2*x^3-20304*B*b^3*e^7*m*x^4+3240*B*b^2*c*d^3*e^4*m^3*x^2-30420*B*b^2*c*d^2*e^5*m^2*x^3+47400*B*b^2*c*d*e^6*m*x^4-20160*B*b^2*c*e^7*x^5-1080*B*b*c^2*d^4*e^3*m^3*x^2+21240*B*b*c^2*d^3*e^4*m^2*x^3-38160*B*b*c^2*d^2*e^5*m*x^4+17280*B*b*c^2*d*e^6*x^5-5040*B*c^3*d^4*e^3*m^2*x^3+10500*B*c^3*d^3*e^4*m*x^4-5040*B*c^3*d^2*e^5*x^5+6*A*b^3*d^3*e^4*m^4-1662*A*b^3*d^2*e^5*m^3*x+16140*A*b^3*d*e^6*m^2*x^2-24876*A*b^3*e^7*m*x^3+1584*A*b^2*c*d^3*e^4*m^3*x-29376*A*b^2*c*d^2*e^5*m^2*x^2+54864*A*b^2*c*d*e^6*m*x^3-24192*A*b^2*c*e^7*x^4-360*A*b*c^2*d^4*e^3*m^3*x+18540*A*b*c^2*d^3*e^4*m^2*x^2-42360*A*b*c^2*d^2*e^5*m*x^3+20160*A*b*c^2*d*e^6*x^4-3960*A*c^3*d^4*e^3*m^2*x^2+11280*A*c^3*d^3*e^4*m*x^3-5760*A*c^3*d^2*e^5*x^4+528*B*b^3*d^3*e^4*m^3*x-9792*B*b^3*d^2*e^5*m^2*x^2+18288*B*b^3*d*e^6*m*x^3-8064*B*b^3*e^7*x^4-360*B*b^2*c*d^4*e^3*m^3*x+18540*B*b^2*c*d^3*e^4*m^2*x^2-42360*B*b^2*c*d^2*e^5*m*x^3+20160*B*b^2*c*d*e^6*x^4-11880*B*b*c^2*d^4*e^3*m^2*x^2+33840*B*b*c^2*d^3*e^4*m*x^3-17280*B*b*c^2*d^2*e^5*x^4+2520*B*c^3*d^5*e^2*m^2*x^2-9240*B*c^3*d^4*e^3*m*x^3+5040*B*c^3*d^3*e^4*x^4+156*A*b^3*d^3*e^4*m^3-7902*A*b^3*d^2*e^5*m^2*x+21516*A*b^3*d*e^6*m*x^2-10080*A*b^3*e^7*x^3-72*A*b^2*c*d^4*e^3*m^3+12024*A*b^2*c*d^3*e^4*m^2*x-46800*A*b^2*c*d^2*e^5*m*x^2+24192*A*b^2*c*d*e^6*x^3-5760*A*b*c^2*d^4*e^3*m^2*x+35640*A*b*c^2*d^3*e^4*m*x^2-20160*A*b*c^2*d^2*e^5*x^3+720*A*c^3*d^5*e^2*m^2*x-9360*A*c^3*d^4*e^3*m*x^2+5760*A*c^3*d^3*e^4*x^3-24*B*b^3*d^4*e^3*m^3+4008*B*b^3*d^3*e^4*m^2*x-15600*B*b^3*d^2*e^5*m*x^2+8064*B*b^3*d*e^6*x^3-5760*B*b^2*c*d^4*e^3*m^2*x+35640*B*b^2*c*d^3*e^4*m*x^2-20160*B*b^2*c*d^2*e^5*x^3+2160*B*b*c^2*d^5*e^2*m^2*x-28080*B*b*c^2*d^4*e^3*m*x^2+17280*B*b*c^2*d^3*e^4*x^3+7560*B*c^3*d^5*e^2*m*x^2-5040*B*c^3*d^4*e^3*x^3+1506*A*b^3*d^3*e^4*m^2-16476*A*b^3*d^2*e^5*m*x+10080*A*b^3*d*e^6*x^2-1512*A*b^2*c*d^4*e^3*m^2+34704*A*b^2*c*d^3*e^4*m*x-24192*A*b^2*c*d^2*e^5*x^2+360*A*b*c^2*d^5*e^2*m^2-25560*A*b*c^2*d^4*e^3*m*x+20160*A*b*c^2*d^3*e^4*x^2+6480*A*c^3*d^5*e^2*m*x-5760*A*c^3*d^4*e^3*x^2-504*B*b^3*d^4*e^3*m^2+11568*B*b^3*d^3*e^4*m*x-8064*B*b^3*d^2*e^5*x^2+360*B*b^2*c*d^5*e^2*m^2-25560*B*b^2*c*d^4*e^3*m*x+20160*B*b^2*c*d^3*e^4*x^2+19440*B*b*c^2*d^5*e^2*m*x-17280*B*b*c^2*d^4*e^3*x^2-5040*B*c^3*d^6*e*m*x+5040*B*c^3*d^5*e^2*x^2+6396*A*b^3*d^3*e^4*m-10080*A*b^3*d^2*e^5*x-10512*A*b^2*c*d^4*e^3*m+24192*A*b^2*c*d^3*e^4*x+5400*A*b*c^2*d^5*e^2*m-20160*A*b*c^2*d^4*e^3*x-720*A*c^3*d^6*e*m+5760*A*c^3*d^5*e^2*x-3504*B*b^3*d^4*e^3*m+8064*B*b^3*d^3*e^4*x+5400*B*b^2*c*d^5*e^2*m-20160*B*b^2*c*d^4*e^3*x-2160*B*b*c^2*d^6*e*m+17280*B*b*c^2*d^5*e^2*x-5040*B*c^3*d^6*e*x+10080*A*b^3*d^3*e^4-24192*A*b^2*c*d^4*e^3+20160*A*b*c^2*d^5*e^2-5760*A*c^3*d^6*e-8064*B*b^3*d^4*e^3+20160*B*b^2*c*d^5*e^2-17280*B*b*c^2*d^6*e+5040*B*c^3*d^7)/e^8/(m^8+36*m^7+546*m^6+4536*m^5+22449*m^4+67284*m^3+118124*m^2+109584*m+40320)","B"
1128,1,444,394,0.045000," ","int((B*x+A)*(e*x+d)^4*(c*x^2+b*x)^3,x)","\frac{B \,c^{3} e^{4} x^{12}}{12}+\frac{A \,b^{3} d^{4} x^{4}}{4}+\frac{\left(3 B b \,c^{2} e^{4}+\left(A \,e^{4}+4 B d \,e^{3}\right) c^{3}\right) x^{11}}{11}+\frac{\left(3 B \,b^{2} c \,e^{4}+3 \left(A \,e^{4}+4 B d \,e^{3}\right) b \,c^{2}+\left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) c^{3}\right) x^{10}}{10}+\frac{\left(B \,b^{3} e^{4}+3 \left(A \,e^{4}+4 B d \,e^{3}\right) b^{2} c +3 \left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) b \,c^{2}+\left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) c^{3}\right) x^{9}}{9}+\frac{\left(\left(A \,e^{4}+4 B d \,e^{3}\right) b^{3}+3 \left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) b^{2} c +3 \left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) b \,c^{2}+\left(4 A \,d^{3} e +B \,d^{4}\right) c^{3}\right) x^{8}}{8}+\frac{\left(A \,c^{3} d^{4}+\left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) b^{3}+3 \left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) b^{2} c +3 \left(4 A \,d^{3} e +B \,d^{4}\right) b \,c^{2}\right) x^{7}}{7}+\frac{\left(3 A b \,c^{2} d^{4}+\left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) b^{3}+3 \left(4 A \,d^{3} e +B \,d^{4}\right) b^{2} c \right) x^{6}}{6}+\frac{\left(3 A \,b^{2} c \,d^{4}+\left(4 A \,d^{3} e +B \,d^{4}\right) b^{3}\right) x^{5}}{5}"," ",0,"1/12*B*c^3*e^4*x^12+1/11*((A*e^4+4*B*d*e^3)*c^3+3*B*e^4*b*c^2)*x^11+1/10*((4*A*d*e^3+6*B*d^2*e^2)*c^3+3*(A*e^4+4*B*d*e^3)*b*c^2+3*B*e^4*b^2*c)*x^10+1/9*((6*A*d^2*e^2+4*B*d^3*e)*c^3+3*(4*A*d*e^3+6*B*d^2*e^2)*b*c^2+3*(A*e^4+4*B*d*e^3)*b^2*c+B*e^4*b^3)*x^9+1/8*((4*A*d^3*e+B*d^4)*c^3+3*(6*A*d^2*e^2+4*B*d^3*e)*b*c^2+3*(4*A*d*e^3+6*B*d^2*e^2)*b^2*c+(A*e^4+4*B*d*e^3)*b^3)*x^8+1/7*(A*d^4*c^3+3*(4*A*d^3*e+B*d^4)*b*c^2+3*(6*A*d^2*e^2+4*B*d^3*e)*b^2*c+(4*A*d*e^3+6*B*d^2*e^2)*b^3)*x^7+1/6*(3*A*d^4*b*c^2+3*(4*A*d^3*e+B*d^4)*b^2*c+(6*A*d^2*e^2+4*B*d^3*e)*b^3)*x^6+1/5*(3*A*d^4*b^2*c+(4*A*d^3*e+B*d^4)*b^3)*x^5+1/4*A*b^3*d^4*x^4","A"
1129,1,342,289,0.044000," ","int((B*x+A)*(e*x+d)^3*(c*x^2+b*x)^3,x)","\frac{B \,c^{3} e^{3} x^{11}}{11}+\frac{A \,b^{3} d^{3} x^{4}}{4}+\frac{\left(3 B b \,c^{2} e^{3}+\left(A \,e^{3}+3 B d \,e^{2}\right) c^{3}\right) x^{10}}{10}+\frac{\left(3 B \,b^{2} c \,e^{3}+3 \left(A \,e^{3}+3 B d \,e^{2}\right) b \,c^{2}+\left(3 A d \,e^{2}+3 B \,d^{2} e \right) c^{3}\right) x^{9}}{9}+\frac{\left(B \,b^{3} e^{3}+3 \left(A \,e^{3}+3 B d \,e^{2}\right) b^{2} c +3 \left(3 A d \,e^{2}+3 B \,d^{2} e \right) b \,c^{2}+\left(3 A \,d^{2} e +B \,d^{3}\right) c^{3}\right) x^{8}}{8}+\frac{\left(A \,c^{3} d^{3}+\left(A \,e^{3}+3 B d \,e^{2}\right) b^{3}+3 \left(3 A d \,e^{2}+3 B \,d^{2} e \right) b^{2} c +3 \left(3 A \,d^{2} e +B \,d^{3}\right) b \,c^{2}\right) x^{7}}{7}+\frac{\left(3 A b \,c^{2} d^{3}+\left(3 A d \,e^{2}+3 B \,d^{2} e \right) b^{3}+3 \left(3 A \,d^{2} e +B \,d^{3}\right) b^{2} c \right) x^{6}}{6}+\frac{\left(3 A \,b^{2} c \,d^{3}+\left(3 A \,d^{2} e +B \,d^{3}\right) b^{3}\right) x^{5}}{5}"," ",0,"1/11*B*c^3*e^3*x^11+1/10*((A*e^3+3*B*d*e^2)*c^3+3*B*e^3*b*c^2)*x^10+1/9*((3*A*d*e^2+3*B*d^2*e)*c^3+3*(A*e^3+3*B*d*e^2)*b*c^2+3*B*e^3*b^2*c)*x^9+1/8*((3*A*d^2*e+B*d^3)*c^3+3*(3*A*d*e^2+3*B*d^2*e)*b*c^2+3*(A*e^3+3*B*d*e^2)*b^2*c+B*e^3*b^3)*x^8+1/7*(A*c^3*d^3+3*(3*A*d^2*e+B*d^3)*b*c^2+3*(3*A*d*e^2+3*B*d^2*e)*b^2*c+(A*e^3+3*B*d*e^2)*b^3)*x^7+1/6*(3*A*d^3*b*c^2+3*(3*A*d^2*e+B*d^3)*b^2*c+(3*A*d*e^2+3*B*d^2*e)*b^3)*x^6+1/5*(3*A*d^3*b^2*c+(3*A*d^2*e+B*d^3)*b^3)*x^5+1/4*A*b^3*d^3*x^4","A"
1130,1,240,211,0.042000," ","int((B*x+A)*(e*x+d)^2*(c*x^2+b*x)^3,x)","\frac{B \,c^{3} e^{2} x^{10}}{10}+\frac{A \,b^{3} d^{2} x^{4}}{4}+\frac{\left(3 B b \,c^{2} e^{2}+\left(A \,e^{2}+2 B d e \right) c^{3}\right) x^{9}}{9}+\frac{\left(3 B \,b^{2} c \,e^{2}+3 \left(A \,e^{2}+2 B d e \right) b \,c^{2}+\left(2 A d e +B \,d^{2}\right) c^{3}\right) x^{8}}{8}+\frac{\left(A \,c^{3} d^{2}+B \,b^{3} e^{2}+3 \left(A \,e^{2}+2 B d e \right) b^{2} c +3 \left(2 A d e +B \,d^{2}\right) b \,c^{2}\right) x^{7}}{7}+\frac{\left(3 A b \,c^{2} d^{2}+\left(A \,e^{2}+2 B d e \right) b^{3}+3 \left(2 A d e +B \,d^{2}\right) b^{2} c \right) x^{6}}{6}+\frac{\left(3 A \,b^{2} c \,d^{2}+\left(2 A d e +B \,d^{2}\right) b^{3}\right) x^{5}}{5}"," ",0,"1/10*B*c^3*e^2*x^10+1/9*((A*e^2+2*B*d*e)*c^3+3*B*e^2*b*c^2)*x^9+1/8*((2*A*d*e+B*d^2)*c^3+3*(A*e^2+2*B*d*e)*b*c^2+3*B*e^2*b^2*c)*x^8+1/7*(A*c^3*d^2+3*(2*A*d*e+B*d^2)*b*c^2+3*(A*e^2+2*B*d*e)*b^2*c+b^3*B*e^2)*x^7+1/6*(3*A*d^2*b*c^2+3*(2*A*d*e+B*d^2)*b^2*c+(A*e^2+2*B*d*e)*b^3)*x^6+1/5*(3*A*d^2*b^2*c+(2*A*d*e+B*d^2)*b^3)*x^5+1/4*A*b^3*d^2*x^4","A"
1131,1,138,127,0.040000," ","int((B*x+A)*(e*x+d)*(c*x^2+b*x)^3,x)","\frac{B \,c^{3} e \,x^{9}}{9}+\frac{A \,b^{3} d \,x^{4}}{4}+\frac{\left(3 B b \,c^{2} e +\left(A e +B d \right) c^{3}\right) x^{8}}{8}+\frac{\left(A \,c^{3} d +3 B \,b^{2} c e +3 \left(A e +B d \right) b \,c^{2}\right) x^{7}}{7}+\frac{\left(3 A b \,c^{2} d +B \,b^{3} e +3 \left(A e +B d \right) b^{2} c \right) x^{6}}{6}+\frac{\left(3 A \,b^{2} c d +\left(A e +B d \right) b^{3}\right) x^{5}}{5}"," ",0,"1/9*B*c^3*e*x^9+1/8*((A*e+B*d)*c^3+3*B*e*b*c^2)*x^8+1/7*(A*d*c^3+3*(A*e+B*d)*b*c^2+3*B*e*b^2*c)*x^7+1/6*(3*A*d*b*c^2+3*b^2*c*(A*e+B*d)+b^3*B*e)*x^6+1/5*(3*A*d*b^2*c+b^3*(A*e+B*d))*x^5+1/4*A*b^3*d*x^4","A"
1132,1,76,65,0.041000," ","int((B*x+A)*(c*x^2+b*x)^3,x)","\frac{B \,c^{3} x^{8}}{8}+\frac{A \,b^{3} x^{4}}{4}+\frac{\left(A \,c^{3}+3 B b \,c^{2}\right) x^{7}}{7}+\frac{\left(3 A b \,c^{2}+3 B \,b^{2} c \right) x^{6}}{6}+\frac{\left(3 A \,b^{2} c +b^{3} B \right) x^{5}}{5}"," ",0,"1/8*B*c^3*x^8+1/7*(A*c^3+3*B*b*c^2)*x^7+1/6*(3*A*b*c^2+3*B*b^2*c)*x^6+1/5*(3*A*b^2*c+B*b^3)*x^5+1/4*A*b^3*x^4","A"
1133,1,708,245,0.055000," ","int((B*x+A)*(c*x^2+b*x)^3/(e*x+d),x)","\frac{B \,c^{3} x^{7}}{7 e}+\frac{A \,c^{3} x^{6}}{6 e}+\frac{B b \,c^{2} x^{6}}{2 e}-\frac{B \,c^{3} d \,x^{6}}{6 e^{2}}+\frac{3 A b \,c^{2} x^{5}}{5 e}-\frac{A \,c^{3} d \,x^{5}}{5 e^{2}}+\frac{3 B \,b^{2} c \,x^{5}}{5 e}-\frac{3 B b \,c^{2} d \,x^{5}}{5 e^{2}}+\frac{B \,c^{3} d^{2} x^{5}}{5 e^{3}}+\frac{3 A \,b^{2} c \,x^{4}}{4 e}-\frac{3 A b \,c^{2} d \,x^{4}}{4 e^{2}}+\frac{A \,c^{3} d^{2} x^{4}}{4 e^{3}}+\frac{B \,b^{3} x^{4}}{4 e}-\frac{3 B \,b^{2} c d \,x^{4}}{4 e^{2}}+\frac{3 B b \,c^{2} d^{2} x^{4}}{4 e^{3}}-\frac{B \,c^{3} d^{3} x^{4}}{4 e^{4}}+\frac{A \,b^{3} x^{3}}{3 e}-\frac{A \,b^{2} c d \,x^{3}}{e^{2}}+\frac{A b \,c^{2} d^{2} x^{3}}{e^{3}}-\frac{A \,c^{3} d^{3} x^{3}}{3 e^{4}}-\frac{B \,b^{3} d \,x^{3}}{3 e^{2}}+\frac{B \,b^{2} c \,d^{2} x^{3}}{e^{3}}-\frac{B b \,c^{2} d^{3} x^{3}}{e^{4}}+\frac{B \,c^{3} d^{4} x^{3}}{3 e^{5}}-\frac{A \,b^{3} d \,x^{2}}{2 e^{2}}+\frac{3 A \,b^{2} c \,d^{2} x^{2}}{2 e^{3}}-\frac{3 A b \,c^{2} d^{3} x^{2}}{2 e^{4}}+\frac{A \,c^{3} d^{4} x^{2}}{2 e^{5}}+\frac{B \,b^{3} d^{2} x^{2}}{2 e^{3}}-\frac{3 B \,b^{2} c \,d^{3} x^{2}}{2 e^{4}}+\frac{3 B b \,c^{2} d^{4} x^{2}}{2 e^{5}}-\frac{B \,c^{3} d^{5} x^{2}}{2 e^{6}}-\frac{A \,b^{3} d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{A \,b^{3} d^{2} x}{e^{3}}+\frac{3 A \,b^{2} c \,d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{3 A \,b^{2} c \,d^{3} x}{e^{4}}-\frac{3 A b \,c^{2} d^{5} \ln \left(e x +d \right)}{e^{6}}+\frac{3 A b \,c^{2} d^{4} x}{e^{5}}+\frac{A \,c^{3} d^{6} \ln \left(e x +d \right)}{e^{7}}-\frac{A \,c^{3} d^{5} x}{e^{6}}+\frac{B \,b^{3} d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{B \,b^{3} d^{3} x}{e^{4}}-\frac{3 B \,b^{2} c \,d^{5} \ln \left(e x +d \right)}{e^{6}}+\frac{3 B \,b^{2} c \,d^{4} x}{e^{5}}+\frac{3 B b \,c^{2} d^{6} \ln \left(e x +d \right)}{e^{7}}-\frac{3 B b \,c^{2} d^{5} x}{e^{6}}-\frac{B \,c^{3} d^{7} \ln \left(e x +d \right)}{e^{8}}+\frac{B \,c^{3} d^{6} x}{e^{7}}"," ",0,"3*d^4/e^5*ln(e*x+d)*A*b^2*c+1/4/e*B*x^4*b^3+1/6/e*A*x^6*c^3+1/3/e*A*x^3*b^3-1/6/e^2*B*x^6*c^3*d+3/5/e*A*x^5*b*c^2-1/3/e^2*B*x^3*b^3*d-1/3/e^4*A*x^3*c^3*d^3+1/5/e^3*B*x^5*c^3*d^2+3/4/e*A*x^4*b^2*c-1/4/e^4*B*x^4*c^3*d^3-1/5/e^2*A*x^5*c^3*d+3/5/e*B*x^5*b^2*c-1/e^6*A*x*c^3*d^5+1/4/e^3*A*x^4*c^3*d^2+1/2/e*B*x^6*b*c^2-1/e^4*B*x*b^3*d^3+1/e^3*A*x*b^3*d^2-1/2/e^6*B*x^2*c^3*d^5+1/e^7*B*x*c^3*d^6+1/3/e^5*B*x^3*c^3*d^4+1/2/e^5*A*x^2*c^3*d^4-d^3/e^4*ln(e*x+d)*A*b^3+d^6/e^7*ln(e*x+d)*A*c^3+d^4/e^5*ln(e*x+d)*B*b^3-d^7/e^8*ln(e*x+d)*B*c^3+1/2/e^3*B*x^2*b^3*d^2-1/2/e^2*A*x^2*b^3*d+1/e^3*B*x^3*b^2*c*d^2-3*d^5/e^6*ln(e*x+d)*A*b*c^2-3*d^5/e^6*ln(e*x+d)*B*b^2*c+3*d^6/e^7*ln(e*x+d)*B*b*c^2-3/e^4*A*x*b^2*c*d^3+3/e^5*A*x*b*c^2*d^4-3/4/e^2*A*x^4*b*c^2*d-3/4/e^2*B*x^4*b^2*c*d-3/5/e^2*B*x^5*b*c^2*d-3/e^6*B*x*b*c^2*d^5+3/e^5*B*x*b^2*c*d^4-1/e^4*B*x^3*b*c^2*d^3-1/e^2*A*x^3*b^2*c*d+3/4/e^3*B*x^4*b*c^2*d^2-3/2/e^4*A*x^2*b*c^2*d^3+3/2/e^3*A*x^2*b^2*c*d^2+3/2/e^5*B*x^2*b*c^2*d^4-3/2/e^4*B*x^2*b^2*c*d^3+1/e^3*A*x^3*b*c^2*d^2+1/7*B*c^3*x^7/e","B"
1134,1,742,277,0.066000," ","int((B*x+A)*(c*x^2+b*x)^3/(e*x+d)^2,x)","\frac{B \,c^{3} x^{6}}{6 e^{2}}+\frac{A \,c^{3} x^{5}}{5 e^{2}}+\frac{3 B b \,c^{2} x^{5}}{5 e^{2}}-\frac{2 B \,c^{3} d \,x^{5}}{5 e^{3}}+\frac{3 A b \,c^{2} x^{4}}{4 e^{2}}-\frac{A \,c^{3} d \,x^{4}}{2 e^{3}}+\frac{3 B \,b^{2} c \,x^{4}}{4 e^{2}}-\frac{3 B b \,c^{2} d \,x^{4}}{2 e^{3}}+\frac{3 B \,c^{3} d^{2} x^{4}}{4 e^{4}}+\frac{A \,b^{2} c \,x^{3}}{e^{2}}-\frac{2 A b \,c^{2} d \,x^{3}}{e^{3}}+\frac{A \,c^{3} d^{2} x^{3}}{e^{4}}+\frac{B \,b^{3} x^{3}}{3 e^{2}}-\frac{2 B \,b^{2} c d \,x^{3}}{e^{3}}+\frac{3 B b \,c^{2} d^{2} x^{3}}{e^{4}}-\frac{4 B \,c^{3} d^{3} x^{3}}{3 e^{5}}+\frac{A \,b^{3} x^{2}}{2 e^{2}}-\frac{3 A \,b^{2} c d \,x^{2}}{e^{3}}+\frac{9 A b \,c^{2} d^{2} x^{2}}{2 e^{4}}-\frac{2 A \,c^{3} d^{3} x^{2}}{e^{5}}-\frac{B \,b^{3} d \,x^{2}}{e^{3}}+\frac{9 B \,b^{2} c \,d^{2} x^{2}}{2 e^{4}}-\frac{6 B b \,c^{2} d^{3} x^{2}}{e^{5}}+\frac{5 B \,c^{3} d^{4} x^{2}}{2 e^{6}}+\frac{A \,b^{3} d^{3}}{\left(e x +d \right) e^{4}}+\frac{3 A \,b^{3} d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{2 A \,b^{3} d x}{e^{3}}-\frac{3 A \,b^{2} c \,d^{4}}{\left(e x +d \right) e^{5}}-\frac{12 A \,b^{2} c \,d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{9 A \,b^{2} c \,d^{2} x}{e^{4}}+\frac{3 A b \,c^{2} d^{5}}{\left(e x +d \right) e^{6}}+\frac{15 A b \,c^{2} d^{4} \ln \left(e x +d \right)}{e^{6}}-\frac{12 A b \,c^{2} d^{3} x}{e^{5}}-\frac{A \,c^{3} d^{6}}{\left(e x +d \right) e^{7}}-\frac{6 A \,c^{3} d^{5} \ln \left(e x +d \right)}{e^{7}}+\frac{5 A \,c^{3} d^{4} x}{e^{6}}-\frac{B \,b^{3} d^{4}}{\left(e x +d \right) e^{5}}-\frac{4 B \,b^{3} d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{3 B \,b^{3} d^{2} x}{e^{4}}+\frac{3 B \,b^{2} c \,d^{5}}{\left(e x +d \right) e^{6}}+\frac{15 B \,b^{2} c \,d^{4} \ln \left(e x +d \right)}{e^{6}}-\frac{12 B \,b^{2} c \,d^{3} x}{e^{5}}-\frac{3 B b \,c^{2} d^{6}}{\left(e x +d \right) e^{7}}-\frac{18 B b \,c^{2} d^{5} \ln \left(e x +d \right)}{e^{7}}+\frac{15 B b \,c^{2} d^{4} x}{e^{6}}+\frac{B \,c^{3} d^{7}}{\left(e x +d \right) e^{8}}+\frac{7 B \,c^{3} d^{6} \ln \left(e x +d \right)}{e^{8}}-\frac{6 B \,c^{3} d^{5} x}{e^{7}}"," ",0,"-3*d^6/e^7/(e*x+d)*B*b*c^2-3/2/e^3*B*x^4*b*c^2*d-2/e^3*A*x^3*b*c^2*d-2/e^3*B*x^3*b^2*c*d+3/e^4*B*x^3*b*c^2*d^2-12*d^3/e^5*ln(e*x+d)*A*b^2*c+3*d^5/e^6/(e*x+d)*A*b*c^2+3*d^5/e^6/(e*x+d)*B*b^2*c-6/e^7*B*c^3*d^5*x+1/2/e^2*A*x^2*b^3+1/3/e^2*B*x^3*b^3+1/5/e^2*A*x^5*c^3+1/e^4*A*x^3*c^3*d^2-2/e^3*A*b^3*d*x+3/5/e^2*B*x^5*b*c^2-2/5/e^3*B*x^5*c^3*d+d^3/e^4/(e*x+d)*A*b^3-d^6/e^7/(e*x+d)*A*c^3-d^4/e^5/(e*x+d)*B*b^3+d^7/e^8/(e*x+d)*B*c^3+3*d^2/e^4*ln(e*x+d)*A*b^3-1/e^3*B*x^2*b^3*d+5/2/e^6*B*x^2*c^3*d^4+9/2/e^4*B*x^2*b^2*c*d^2-3*d^4/e^5/(e*x+d)*A*b^2*c+15*d^4/e^6*ln(e*x+d)*A*b*c^2+15*d^4/e^6*ln(e*x+d)*B*b^2*c-18*d^5/e^7*ln(e*x+d)*B*b*c^2-6*d^5/e^7*ln(e*x+d)*A*c^3-4*d^3/e^5*ln(e*x+d)*B*b^3+7*d^6/e^8*ln(e*x+d)*B*c^3-2/e^5*A*x^2*c^3*d^3-12/e^5*A*b*c^2*d^3*x-12/e^5*B*b^2*c*d^3*x+15/e^6*B*b*c^2*d^4*x-6/e^5*B*x^2*b*c^2*d^3+9/e^4*A*b^2*c*d^2*x-3/e^3*A*x^2*b^2*c*d+9/2/e^4*A*x^2*b*c^2*d^2+3/4/e^2*B*x^4*b^2*c+3/4/e^4*B*x^4*c^3*d^2-1/2/e^3*A*x^4*c^3*d+3/4/e^2*A*x^4*b*c^2+5/e^6*A*c^3*d^4*x+3/e^4*B*b^3*d^2*x-4/3/e^5*B*x^3*c^3*d^3+1/e^2*A*x^3*b^2*c+1/6*B*c^3*x^6/e^2","B"
1135,1,775,351,0.096000," ","int((B*x+A)*(c*x^2+b*x)^3/(e*x+d)^3,x)","\frac{B \,c^{3} x^{5}}{5 e^{3}}+\frac{A \,c^{3} x^{4}}{4 e^{3}}+\frac{3 B b \,c^{2} x^{4}}{4 e^{3}}-\frac{3 B \,c^{3} d \,x^{4}}{4 e^{4}}+\frac{A b \,c^{2} x^{3}}{e^{3}}-\frac{A \,c^{3} d \,x^{3}}{e^{4}}+\frac{B \,b^{2} c \,x^{3}}{e^{3}}-\frac{3 B b \,c^{2} d \,x^{3}}{e^{4}}+\frac{2 B \,c^{3} d^{2} x^{3}}{e^{5}}+\frac{A \,b^{3} d^{3}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{3 A \,b^{2} c \,d^{4}}{2 \left(e x +d \right)^{2} e^{5}}+\frac{3 A \,b^{2} c \,x^{2}}{2 e^{3}}+\frac{3 A b \,c^{2} d^{5}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{9 A b \,c^{2} d \,x^{2}}{2 e^{4}}-\frac{A \,c^{3} d^{6}}{2 \left(e x +d \right)^{2} e^{7}}+\frac{3 A \,c^{3} d^{2} x^{2}}{e^{5}}-\frac{B \,b^{3} d^{4}}{2 \left(e x +d \right)^{2} e^{5}}+\frac{B \,b^{3} x^{2}}{2 e^{3}}+\frac{3 B \,b^{2} c \,d^{5}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{9 B \,b^{2} c d \,x^{2}}{2 e^{4}}-\frac{3 B b \,c^{2} d^{6}}{2 \left(e x +d \right)^{2} e^{7}}+\frac{9 B b \,c^{2} d^{2} x^{2}}{e^{5}}+\frac{B \,c^{3} d^{7}}{2 \left(e x +d \right)^{2} e^{8}}-\frac{5 B \,c^{3} d^{3} x^{2}}{e^{6}}-\frac{3 A \,b^{3} d^{2}}{\left(e x +d \right) e^{4}}-\frac{3 A \,b^{3} d \ln \left(e x +d \right)}{e^{4}}+\frac{A \,b^{3} x}{e^{3}}+\frac{12 A \,b^{2} c \,d^{3}}{\left(e x +d \right) e^{5}}+\frac{18 A \,b^{2} c \,d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{9 A \,b^{2} c d x}{e^{4}}-\frac{15 A b \,c^{2} d^{4}}{\left(e x +d \right) e^{6}}-\frac{30 A b \,c^{2} d^{3} \ln \left(e x +d \right)}{e^{6}}+\frac{18 A b \,c^{2} d^{2} x}{e^{5}}+\frac{6 A \,c^{3} d^{5}}{\left(e x +d \right) e^{7}}+\frac{15 A \,c^{3} d^{4} \ln \left(e x +d \right)}{e^{7}}-\frac{10 A \,c^{3} d^{3} x}{e^{6}}+\frac{4 B \,b^{3} d^{3}}{\left(e x +d \right) e^{5}}+\frac{6 B \,b^{3} d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{3 B \,b^{3} d x}{e^{4}}-\frac{15 B \,b^{2} c \,d^{4}}{\left(e x +d \right) e^{6}}-\frac{30 B \,b^{2} c \,d^{3} \ln \left(e x +d \right)}{e^{6}}+\frac{18 B \,b^{2} c \,d^{2} x}{e^{5}}+\frac{18 B b \,c^{2} d^{5}}{\left(e x +d \right) e^{7}}+\frac{45 B b \,c^{2} d^{4} \ln \left(e x +d \right)}{e^{7}}-\frac{30 B b \,c^{2} d^{3} x}{e^{6}}-\frac{7 B \,c^{3} d^{6}}{\left(e x +d \right) e^{8}}-\frac{21 B \,c^{3} d^{5} \ln \left(e x +d \right)}{e^{8}}+\frac{15 B \,c^{3} d^{4} x}{e^{7}}"," ",0,"-30*d^3/e^6*ln(e*x+d)*B*b^2*c+45*d^4/e^7*ln(e*x+d)*B*b*c^2-3/e^4*B*x^3*b*c^2*d-7*d^6/e^8/(e*x+d)*B*c^3+3/e^5*A*x^2*c^3*d^2-5/e^6*B*x^2*c^3*d^3-10/e^6*A*c^3*d^3*x-3/e^4*B*b^3*d*x+15/e^7*B*c^3*d^4*x-3*d^2/e^4/(e*x+d)*A*b^3+6*d^5/e^7/(e*x+d)*A*c^3+4*d^3/e^5/(e*x+d)*B*b^3+1/4/e^3*A*x^4*c^3+1/2/e^3*B*x^2*b^3+1/e^3*A*b^3*x+6*d^2/e^5*ln(e*x+d)*B*b^3-21*d^5/e^8*ln(e*x+d)*B*c^3-1/e^4*A*x^3*c^3*d+1/e^3*B*x^3*b^2*c+2/e^5*B*x^3*c^3*d^2+3/2/e^3*A*x^2*b^2*c-9/2/e^4*A*x^2*b*c^2*d-9/2/e^4*B*x^2*b^2*c*d+9/e^5*B*x^2*b*c^2*d^2-9/e^4*A*b^2*c*d*x+18/e^5*A*b*c^2*d^2*x+18/e^5*B*b^2*c*d^2*x-30/e^6*B*b*c^2*d^3*x+12*d^3/e^5/(e*x+d)*A*b^2*c-15*d^4/e^6/(e*x+d)*A*b*c^2-15*d^4/e^6/(e*x+d)*B*b^2*c+18*d^5/e^7/(e*x+d)*B*b*c^2-3/2*d^4/e^5/(e*x+d)^2*A*b^2*c+3/2*d^5/e^6/(e*x+d)^2*A*b*c^2+3/2*d^5/e^6/(e*x+d)^2*B*b^2*c-3/2*d^6/e^7/(e*x+d)^2*B*b*c^2+18*d^2/e^5*ln(e*x+d)*A*b^2*c-30*d^3/e^6*ln(e*x+d)*A*b*c^2-3*d/e^4*ln(e*x+d)*A*b^3+15*d^4/e^7*ln(e*x+d)*A*c^3-1/2*d^4/e^5/(e*x+d)^2*B*b^3+1/2*d^7/e^8/(e*x+d)^2*B*c^3+3/4/e^3*B*x^4*b*c^2-3/4/e^4*B*x^4*c^3*d+1/e^3*A*x^3*b*c^2+1/2*d^3/e^4/(e*x+d)^2*A*b^3-1/2*d^6/e^7/(e*x+d)^2*A*c^3+1/5*B*c^3*x^5/e^3","B"
1136,1,807,412,0.073000," ","int((B*x+A)*(c*x^2+b*x)^3/(e*x+d)^4,x)","\frac{B \,c^{3} x^{4}}{4 e^{4}}+\frac{A \,b^{3} d^{3}}{3 \left(e x +d \right)^{3} e^{4}}-\frac{A \,b^{2} c \,d^{4}}{\left(e x +d \right)^{3} e^{5}}+\frac{A b \,c^{2} d^{5}}{\left(e x +d \right)^{3} e^{6}}-\frac{A \,c^{3} d^{6}}{3 \left(e x +d \right)^{3} e^{7}}+\frac{A \,c^{3} x^{3}}{3 e^{4}}-\frac{B \,b^{3} d^{4}}{3 \left(e x +d \right)^{3} e^{5}}+\frac{B \,b^{2} c \,d^{5}}{\left(e x +d \right)^{3} e^{6}}-\frac{B b \,c^{2} d^{6}}{\left(e x +d \right)^{3} e^{7}}+\frac{B b \,c^{2} x^{3}}{e^{4}}+\frac{B \,c^{3} d^{7}}{3 \left(e x +d \right)^{3} e^{8}}-\frac{4 B \,c^{3} d \,x^{3}}{3 e^{5}}-\frac{3 A \,b^{3} d^{2}}{2 \left(e x +d \right)^{2} e^{4}}+\frac{6 A \,b^{2} c \,d^{3}}{\left(e x +d \right)^{2} e^{5}}-\frac{15 A b \,c^{2} d^{4}}{2 \left(e x +d \right)^{2} e^{6}}+\frac{3 A b \,c^{2} x^{2}}{2 e^{4}}+\frac{3 A \,c^{3} d^{5}}{\left(e x +d \right)^{2} e^{7}}-\frac{2 A \,c^{3} d \,x^{2}}{e^{5}}+\frac{2 B \,b^{3} d^{3}}{\left(e x +d \right)^{2} e^{5}}-\frac{15 B \,b^{2} c \,d^{4}}{2 \left(e x +d \right)^{2} e^{6}}+\frac{3 B \,b^{2} c \,x^{2}}{2 e^{4}}+\frac{9 B b \,c^{2} d^{5}}{\left(e x +d \right)^{2} e^{7}}-\frac{6 B b \,c^{2} d \,x^{2}}{e^{5}}-\frac{7 B \,c^{3} d^{6}}{2 \left(e x +d \right)^{2} e^{8}}+\frac{5 B \,c^{3} d^{2} x^{2}}{e^{6}}+\frac{3 A \,b^{3} d}{\left(e x +d \right) e^{4}}+\frac{A \,b^{3} \ln \left(e x +d \right)}{e^{4}}-\frac{18 A \,b^{2} c \,d^{2}}{\left(e x +d \right) e^{5}}-\frac{12 A \,b^{2} c d \ln \left(e x +d \right)}{e^{5}}+\frac{3 A \,b^{2} c x}{e^{4}}+\frac{30 A b \,c^{2} d^{3}}{\left(e x +d \right) e^{6}}+\frac{30 A b \,c^{2} d^{2} \ln \left(e x +d \right)}{e^{6}}-\frac{12 A b \,c^{2} d x}{e^{5}}-\frac{15 A \,c^{3} d^{4}}{\left(e x +d \right) e^{7}}-\frac{20 A \,c^{3} d^{3} \ln \left(e x +d \right)}{e^{7}}+\frac{10 A \,c^{3} d^{2} x}{e^{6}}-\frac{6 B \,b^{3} d^{2}}{\left(e x +d \right) e^{5}}-\frac{4 B \,b^{3} d \ln \left(e x +d \right)}{e^{5}}+\frac{B \,b^{3} x}{e^{4}}+\frac{30 B \,b^{2} c \,d^{3}}{\left(e x +d \right) e^{6}}+\frac{30 B \,b^{2} c \,d^{2} \ln \left(e x +d \right)}{e^{6}}-\frac{12 B \,b^{2} c d x}{e^{5}}-\frac{45 B b \,c^{2} d^{4}}{\left(e x +d \right) e^{7}}-\frac{60 B b \,c^{2} d^{3} \ln \left(e x +d \right)}{e^{7}}+\frac{30 B b \,c^{2} d^{2} x}{e^{6}}+\frac{21 B \,c^{3} d^{5}}{\left(e x +d \right) e^{8}}+\frac{35 B \,c^{3} d^{4} \ln \left(e x +d \right)}{e^{8}}-\frac{20 B \,c^{3} d^{3} x}{e^{7}}"," ",0,"1/e^4*B*x^3*b*c^2-4/3/e^5*B*x^3*c^3*d+1/3/e^4*A*x^3*c^3+1/e^4*B*b^3*x+1/e^4*ln(e*x+d)*A*b^3-6/e^5*B*x^2*b*c^2*d-12/e^5*A*b*c^2*d*x-12/e^5*B*b^2*c*d*x+30/e^6*B*b*c^2*d^2*x-18*d^2/e^5/(e*x+d)*A*b^2*c+30*d^3/e^6/(e*x+d)*A*b*c^2+30*d^3/e^6/(e*x+d)*B*b^2*c-45*d^4/e^7/(e*x+d)*B*b*c^2+6*d^3/e^5/(e*x+d)^2*A*b^2*c-15/2*d^4/e^6/(e*x+d)^2*A*b*c^2-15/2*d^4/e^6/(e*x+d)^2*B*b^2*c+9*d^5/e^7/(e*x+d)^2*B*b*c^2-d^4/e^5/(e*x+d)^3*A*b^2*c+d^5/e^6/(e*x+d)^3*A*b*c^2+d^5/e^6/(e*x+d)^3*B*b^2*c-d^6/e^7/(e*x+d)^3*B*b*c^2-12/e^5*ln(e*x+d)*A*b^2*c*d+30/e^6*ln(e*x+d)*A*b*c^2*d^2+30/e^6*ln(e*x+d)*B*b^2*c*d^2+1/3*d^3/e^4/(e*x+d)^3*A*b^3-60/e^7*ln(e*x+d)*B*b*c^2*d^3+5/e^6*B*x^2*c^3*d^2+3/e^4*A*b^2*c*x+10/e^6*A*c^3*d^2*x-20/e^7*B*c^3*d^3*x+3*d/e^4/(e*x+d)*A*b^3-15*d^4/e^7/(e*x+d)*A*c^3-6*d^2/e^5/(e*x+d)*B*b^3+21*d^5/e^8/(e*x+d)*B*c^3-3/2*d^2/e^4/(e*x+d)^2*A*b^3+3*d^5/e^7/(e*x+d)^2*A*c^3+3/2/e^4*A*x^2*b*c^2-2/e^5*A*x^2*c^3*d+3/2/e^4*B*x^2*b^2*c+2*d^3/e^5/(e*x+d)^2*B*b^3-7/2*d^6/e^8/(e*x+d)^2*B*c^3-1/3*d^6/e^7/(e*x+d)^3*A*c^3-1/3*d^4/e^5/(e*x+d)^3*B*b^3+1/3*d^7/e^8/(e*x+d)^3*B*c^3-20/e^7*ln(e*x+d)*A*c^3*d^3-4/e^5*ln(e*x+d)*B*b^3*d+35/e^8*ln(e*x+d)*B*c^3*d^4+1/4*B*c^3*x^4/e^4","A"
1137,1,396,201,0.050000," ","int((B*x+A)*(e*x+d)^4/(c*x^2+b*x),x)","\frac{B \,e^{4} x^{4}}{4 c}+\frac{A \,e^{4} x^{3}}{3 c}-\frac{B b \,e^{4} x^{3}}{3 c^{2}}+\frac{4 B d \,e^{3} x^{3}}{3 c}-\frac{A b \,e^{4} x^{2}}{2 c^{2}}+\frac{2 A d \,e^{3} x^{2}}{c}+\frac{B \,b^{2} e^{4} x^{2}}{2 c^{3}}-\frac{2 B b d \,e^{3} x^{2}}{c^{2}}+\frac{3 B \,d^{2} e^{2} x^{2}}{c}-\frac{A \,b^{3} e^{4} \ln \left(c x +b \right)}{c^{4}}+\frac{4 A \,b^{2} d \,e^{3} \ln \left(c x +b \right)}{c^{3}}+\frac{A \,b^{2} e^{4} x}{c^{3}}-\frac{6 A b \,d^{2} e^{2} \ln \left(c x +b \right)}{c^{2}}-\frac{4 A b d \,e^{3} x}{c^{2}}+\frac{A \,d^{4} \ln \left(x \right)}{b}-\frac{A \,d^{4} \ln \left(c x +b \right)}{b}+\frac{4 A \,d^{3} e \ln \left(c x +b \right)}{c}+\frac{6 A \,d^{2} e^{2} x}{c}+\frac{B \,b^{4} e^{4} \ln \left(c x +b \right)}{c^{5}}-\frac{4 B \,b^{3} d \,e^{3} \ln \left(c x +b \right)}{c^{4}}-\frac{B \,b^{3} e^{4} x}{c^{4}}+\frac{6 B \,b^{2} d^{2} e^{2} \ln \left(c x +b \right)}{c^{3}}+\frac{4 B \,b^{2} d \,e^{3} x}{c^{3}}-\frac{4 B b \,d^{3} e \ln \left(c x +b \right)}{c^{2}}-\frac{6 B b \,d^{2} e^{2} x}{c^{2}}+\frac{B \,d^{4} \ln \left(c x +b \right)}{c}+\frac{4 B \,d^{3} e x}{c}"," ",0,"1/3*e^4/c*A*x^3+1/c*ln(c*x+b)*B*d^4-1/b*ln(c*x+b)*A*d^4-1/3*e^4/c^2*B*x^3*b+4/3*e^3/c*B*x^3*d-b^3/c^4*ln(c*x+b)*A*e^4+6*e^2/c*A*d^2*x-e^4/c^4*B*b^3*x+4*e/c*B*d^3*x+b^4/c^5*ln(c*x+b)*B*e^4-4*e^3/c^2*A*b*d*x+4*e^3/c^3*B*b^2*d*x-6*e^2/c^2*B*b*d^2*x-2*e^3/c^2*B*x^2*b*d+4*b^2/c^3*ln(c*x+b)*A*d*e^3+e^4/c^3*A*b^2*x+6*b^2/c^3*ln(c*x+b)*B*d^2*e^2-4*b/c^2*ln(c*x+b)*B*d^3*e+4/c*ln(c*x+b)*A*d^3*e-1/2*e^4/c^2*A*x^2*b+2*e^3/c*A*x^2*d+1/2*e^4/c^3*B*x^2*b^2+3*e^2/c*B*x^2*d^2-6*b/c^2*ln(c*x+b)*A*d^2*e^2-4*b^3/c^4*ln(c*x+b)*B*d*e^3+A*d^4*ln(x)/b+1/4*B*e^4*x^4/c","A"
1138,1,252,124,0.056000," ","int((B*x+A)*(e*x+d)^3/(c*x^2+b*x),x)","\frac{B \,e^{3} x^{3}}{3 c}+\frac{A \,e^{3} x^{2}}{2 c}-\frac{B b \,e^{3} x^{2}}{2 c^{2}}+\frac{3 B d \,e^{2} x^{2}}{2 c}+\frac{A \,b^{2} e^{3} \ln \left(c x +b \right)}{c^{3}}-\frac{3 A b d \,e^{2} \ln \left(c x +b \right)}{c^{2}}-\frac{A b \,e^{3} x}{c^{2}}+\frac{A \,d^{3} \ln \left(x \right)}{b}-\frac{A \,d^{3} \ln \left(c x +b \right)}{b}+\frac{3 A \,d^{2} e \ln \left(c x +b \right)}{c}+\frac{3 A d \,e^{2} x}{c}-\frac{B \,b^{3} e^{3} \ln \left(c x +b \right)}{c^{4}}+\frac{3 B \,b^{2} d \,e^{2} \ln \left(c x +b \right)}{c^{3}}+\frac{B \,b^{2} e^{3} x}{c^{3}}-\frac{3 B b \,d^{2} e \ln \left(c x +b \right)}{c^{2}}-\frac{3 B b d \,e^{2} x}{c^{2}}+\frac{B \,d^{3} \ln \left(c x +b \right)}{c}+\frac{3 B \,d^{2} e x}{c}"," ",0,"1/3*B*e^3*x^3/c+1/2*e^3/c*A*x^2-1/2*e^3/c^2*B*x^2*b+3/2*e^2/c*B*x^2*d-e^3/c^2*A*b*x+3*e^2/c*A*d*x+e^3/c^3*B*b^2*x-3*e^2/c^2*B*b*d*x+3*e/c*B*d^2*x+1/c^3*b^2*ln(c*x+b)*A*e^3-3/c^2*b*ln(c*x+b)*A*d*e^2+3/c*ln(c*x+b)*A*d^2*e-1/b*ln(c*x+b)*A*d^3-1/c^4*b^3*ln(c*x+b)*B*e^3+3/c^3*b^2*ln(c*x+b)*B*d*e^2-3/c^2*b*ln(c*x+b)*B*d^2*e+1/c*ln(c*x+b)*B*d^3+A*d^3*ln(x)/b","B"
1139,1,144,75,0.050000," ","int((B*x+A)*(e*x+d)^2/(c*x^2+b*x),x)","\frac{B \,e^{2} x^{2}}{2 c}-\frac{A b \,e^{2} \ln \left(c x +b \right)}{c^{2}}+\frac{A \,d^{2} \ln \left(x \right)}{b}-\frac{A \,d^{2} \ln \left(c x +b \right)}{b}+\frac{2 A d e \ln \left(c x +b \right)}{c}+\frac{A \,e^{2} x}{c}+\frac{B \,b^{2} e^{2} \ln \left(c x +b \right)}{c^{3}}-\frac{2 B b d e \ln \left(c x +b \right)}{c^{2}}-\frac{B b \,e^{2} x}{c^{2}}+\frac{B \,d^{2} \ln \left(c x +b \right)}{c}+\frac{2 B d e x}{c}"," ",0,"1/2*B*e^2*x^2/c+1/c*e^2*A*x-1/c^2*e^2*B*b*x+2/c*e*B*d*x-b/c^2*ln(c*x+b)*A*e^2+2/c*ln(c*x+b)*A*d*e-1/b*ln(c*x+b)*A*d^2+b^2/c^3*ln(c*x+b)*B*e^2-2*b/c^2*ln(c*x+b)*B*d*e+1/c*ln(c*x+b)*B*d^2+A*d^2*ln(x)/b","A"
1140,1,68,45,0.046000," ","int((B*x+A)*(e*x+d)/(c*x^2+b*x),x)","\frac{A d \ln \left(x \right)}{b}-\frac{A d \ln \left(c x +b \right)}{b}+\frac{A e \ln \left(c x +b \right)}{c}-\frac{B b e \ln \left(c x +b \right)}{c^{2}}+\frac{B d \ln \left(c x +b \right)}{c}+\frac{B e x}{c}"," ",0,"B*e*x/c+1/c*ln(c*x+b)*A*e-1/b*ln(c*x+b)*A*d-1/c^2*b*ln(c*x+b)*B*e+1/c*ln(c*x+b)*B*d+A*d*ln(x)/b","A"
1141,1,32,29,0.049000," ","int((B*x+A)/(c*x^2+b*x),x)","\frac{A \ln \left(x \right)}{b}-\frac{A \ln \left(c x +b \right)}{b}+\frac{B \ln \left(c x +b \right)}{c}"," ",0,"-1/b*ln(c*x+b)*A+1/c*ln(c*x+b)*B+A/b*ln(x)","A"
1142,1,94,68,0.058000," ","int((B*x+A)/(e*x+d)/(c*x^2+b*x),x)","\frac{A c \ln \left(c x +b \right)}{\left(b e -c d \right) b}-\frac{A e \ln \left(e x +d \right)}{\left(b e -c d \right) d}-\frac{B \ln \left(c x +b \right)}{b e -c d}+\frac{B \ln \left(e x +d \right)}{b e -c d}+\frac{A \ln \left(x \right)}{b d}"," ",0,"1/(b*e-c*d)/b*ln(c*x+b)*A*c-1/(b*e-c*d)*ln(c*x+b)*B-1/(b*e-c*d)/d*ln(e*x+d)*A*e+1/(b*e-c*d)*ln(e*x+d)*B+A*ln(x)/b/d","A"
1143,1,169,110,0.060000," ","int((B*x+A)/(e*x+d)^2/(c*x^2+b*x),x)","-\frac{A b \,e^{2} \ln \left(e x +d \right)}{\left(b e -c d \right)^{2} d^{2}}-\frac{A \,c^{2} \ln \left(c x +b \right)}{\left(b e -c d \right)^{2} b}+\frac{2 A c e \ln \left(e x +d \right)}{\left(b e -c d \right)^{2} d}+\frac{B c \ln \left(c x +b \right)}{\left(b e -c d \right)^{2}}-\frac{B c \ln \left(e x +d \right)}{\left(b e -c d \right)^{2}}+\frac{A e}{\left(b e -c d \right) \left(e x +d \right) d}-\frac{B}{\left(b e -c d \right) \left(e x +d \right)}+\frac{A \ln \left(x \right)}{b \,d^{2}}"," ",0,"-c^2/(b*e-c*d)^2/b*ln(c*x+b)*A+c/(b*e-c*d)^2*ln(c*x+b)*B-1/(b*e-c*d)^2/d^2*ln(e*x+d)*A*b*e^2+2/(b*e-c*d)^2/d*ln(e*x+d)*A*c*e-1/(b*e-c*d)^2*ln(e*x+d)*B*c+1/(b*e-c*d)/d/(e*x+d)*A*e-1/(b*e-c*d)/(e*x+d)*B+A*ln(x)/b/d^2","A"
1144,1,275,169,0.054000," ","int((B*x+A)/(e*x+d)^3/(c*x^2+b*x),x)","-\frac{A \,b^{2} e^{3} \ln \left(e x +d \right)}{\left(b e -c d \right)^{3} d^{3}}+\frac{3 A b c \,e^{2} \ln \left(e x +d \right)}{\left(b e -c d \right)^{3} d^{2}}+\frac{A \,c^{3} \ln \left(c x +b \right)}{\left(b e -c d \right)^{3} b}-\frac{3 A \,c^{2} e \ln \left(e x +d \right)}{\left(b e -c d \right)^{3} d}-\frac{B \,c^{2} \ln \left(c x +b \right)}{\left(b e -c d \right)^{3}}+\frac{B \,c^{2} \ln \left(e x +d \right)}{\left(b e -c d \right)^{3}}+\frac{A b \,e^{2}}{\left(b e -c d \right)^{2} \left(e x +d \right) d^{2}}-\frac{2 A c e}{\left(b e -c d \right)^{2} \left(e x +d \right) d}+\frac{B c}{\left(b e -c d \right)^{2} \left(e x +d \right)}+\frac{A e}{2 \left(b e -c d \right) \left(e x +d \right)^{2} d}-\frac{B}{2 \left(b e -c d \right) \left(e x +d \right)^{2}}+\frac{A \ln \left(x \right)}{b \,d^{3}}"," ",0,"c^3/(b*e-c*d)^3/b*ln(c*x+b)*A-c^2/(b*e-c*d)^3*ln(c*x+b)*B+1/(b*e-c*d)^2/d^2/(e*x+d)*A*b*e^2-2/(b*e-c*d)^2/d/(e*x+d)*A*c*e+1/(b*e-c*d)^2/(e*x+d)*B*c-1/(b*e-c*d)^3/d^3*ln(e*x+d)*A*b^2*e^3+3/(b*e-c*d)^3/d^2*ln(e*x+d)*A*b*c*e^2-3/(b*e-c*d)^3/d*ln(e*x+d)*A*c^2*e+1/(b*e-c*d)^3*ln(e*x+d)*B*c^2+1/2/(b*e-c*d)/d/(e*x+d)^2*A*e-1/2/(b*e-c*d)/(e*x+d)^2*B+A*ln(x)/b/d^3","A"
1145,1,415,241,0.081000," ","int((B*x+A)/(e*x+d)^4/(c*x^2+b*x),x)","-\frac{A \,b^{3} e^{4} \ln \left(e x +d \right)}{\left(b e -c d \right)^{4} d^{4}}+\frac{4 A \,b^{2} c \,e^{3} \ln \left(e x +d \right)}{\left(b e -c d \right)^{4} d^{3}}-\frac{6 A b \,c^{2} e^{2} \ln \left(e x +d \right)}{\left(b e -c d \right)^{4} d^{2}}-\frac{A \,c^{4} \ln \left(c x +b \right)}{\left(b e -c d \right)^{4} b}+\frac{4 A \,c^{3} e \ln \left(e x +d \right)}{\left(b e -c d \right)^{4} d}+\frac{B \,c^{3} \ln \left(c x +b \right)}{\left(b e -c d \right)^{4}}-\frac{B \,c^{3} \ln \left(e x +d \right)}{\left(b e -c d \right)^{4}}+\frac{A \,b^{2} e^{3}}{\left(b e -c d \right)^{3} \left(e x +d \right) d^{3}}-\frac{3 A b c \,e^{2}}{\left(b e -c d \right)^{3} \left(e x +d \right) d^{2}}+\frac{3 A \,c^{2} e}{\left(b e -c d \right)^{3} \left(e x +d \right) d}-\frac{B \,c^{2}}{\left(b e -c d \right)^{3} \left(e x +d \right)}+\frac{A b \,e^{2}}{2 \left(b e -c d \right)^{2} \left(e x +d \right)^{2} d^{2}}-\frac{A c e}{\left(b e -c d \right)^{2} \left(e x +d \right)^{2} d}+\frac{B c}{2 \left(b e -c d \right)^{2} \left(e x +d \right)^{2}}+\frac{A e}{3 \left(b e -c d \right) \left(e x +d \right)^{3} d}-\frac{B}{3 \left(b e -c d \right) \left(e x +d \right)^{3}}+\frac{A \ln \left(x \right)}{b \,d^{4}}"," ",0,"-c^4/(b*e-c*d)^4/b*ln(c*x+b)*A+c^3/(b*e-c*d)^4*ln(c*x+b)*B+1/2/(b*e-c*d)^2/d^2/(e*x+d)^2*A*b*e^2-1/(b*e-c*d)^2/d/(e*x+d)^2*A*c*e+1/2/(b*e-c*d)^2/(e*x+d)^2*B*c+1/(b*e-c*d)^3/d^3/(e*x+d)*A*b^2*e^3-3/(b*e-c*d)^3/d^2/(e*x+d)*A*b*c*e^2+3/(b*e-c*d)^3/d/(e*x+d)*A*c^2*e-1/(b*e-c*d)^3/(e*x+d)*B*c^2-1/(b*e-c*d)^4/d^4*ln(e*x+d)*A*b^3*e^4+4/(b*e-c*d)^4/d^3*ln(e*x+d)*A*b^2*c*e^3-6/(b*e-c*d)^4/d^2*ln(e*x+d)*A*b*c^2*e^2+4/(b*e-c*d)^4/d*ln(e*x+d)*A*c^3*e-1/(b*e-c*d)^4*ln(e*x+d)*B*c^3+1/3/(b*e-c*d)/d/(e*x+d)^3*A*e-1/3/(b*e-c*d)/(e*x+d)^3*B+A*ln(x)/b/d^4","A"
1146,1,403,154,0.062000," ","int((B*x+A)*(e*x+d)^4/(c*x^2+b*x)^2,x)","\frac{B \,e^{4} x^{2}}{2 c^{2}}-\frac{A \,b^{2} e^{4}}{\left(c x +b \right) c^{3}}+\frac{4 A b d \,e^{3}}{\left(c x +b \right) c^{2}}-\frac{2 A b \,e^{4} \ln \left(c x +b \right)}{c^{3}}+\frac{4 A \,d^{3} e}{\left(c x +b \right) b}-\frac{A c \,d^{4}}{\left(c x +b \right) b^{2}}+\frac{4 A \,d^{3} e \ln \left(x \right)}{b^{2}}-\frac{4 A \,d^{3} e \ln \left(c x +b \right)}{b^{2}}-\frac{2 A c \,d^{4} \ln \left(x \right)}{b^{3}}+\frac{2 A c \,d^{4} \ln \left(c x +b \right)}{b^{3}}-\frac{6 A \,d^{2} e^{2}}{\left(c x +b \right) c}+\frac{4 A d \,e^{3} \ln \left(c x +b \right)}{c^{2}}+\frac{A \,e^{4} x}{c^{2}}+\frac{B \,b^{3} e^{4}}{\left(c x +b \right) c^{4}}-\frac{4 B \,b^{2} d \,e^{3}}{\left(c x +b \right) c^{3}}+\frac{3 B \,b^{2} e^{4} \ln \left(c x +b \right)}{c^{4}}+\frac{6 B b \,d^{2} e^{2}}{\left(c x +b \right) c^{2}}-\frac{8 B b d \,e^{3} \ln \left(c x +b \right)}{c^{3}}-\frac{2 B b \,e^{4} x}{c^{3}}+\frac{B \,d^{4}}{\left(c x +b \right) b}+\frac{B \,d^{4} \ln \left(x \right)}{b^{2}}-\frac{B \,d^{4} \ln \left(c x +b \right)}{b^{2}}-\frac{4 B \,d^{3} e}{\left(c x +b \right) c}+\frac{6 B \,d^{2} e^{2} \ln \left(c x +b \right)}{c^{2}}+\frac{4 B d \,e^{3} x}{c^{2}}-\frac{A \,d^{4}}{b^{2} x}"," ",0,"d^4/b^2*ln(x)*B+e^4/c^2*A*x-1/b^2*ln(c*x+b)*B*d^4+1/b/(c*x+b)*B*d^4-8/c^3*b*ln(c*x+b)*B*d*e^3+4/c^2*b/(c*x+b)*A*d*e^3-4/c^3*b^2/(c*x+b)*B*d*e^3+6/c^2*b/(c*x+b)*B*d^2*e^2+4/b/(c*x+b)*A*d^3*e-4/c/(c*x+b)*B*d^3*e+6/c^2*ln(c*x+b)*B*d^2*e^2-1/c^3*b^2/(c*x+b)*A*e^4-c/b^2/(c*x+b)*A*d^4+1/c^4*b^3/(c*x+b)*B*e^4+4*d^3/b^2*ln(x)*A*e-2*d^4/b^3*ln(x)*A*c-2*e^4/c^3*B*b*x+4*e^3/c^2*B*d*x-4/b^2*ln(c*x+b)*A*d^3*e+2*c/b^3*ln(c*x+b)*A*d^4+3/c^4*b^2*ln(c*x+b)*B*e^4+4/c^2*ln(c*x+b)*A*d*e^3-6/c/(c*x+b)*A*d^2*e^2-2/c^3*b*ln(c*x+b)*A*e^4-A*d^4/b^2/x+1/2*B*e^4*x^2/c^2","B"
1147,1,286,128,0.062000," ","int((B*x+A)*(e*x+d)^3/(c*x^2+b*x)^2,x)","\frac{A b \,e^{3}}{\left(c x +b \right) c^{2}}+\frac{3 A \,d^{2} e}{\left(c x +b \right) b}-\frac{A c \,d^{3}}{\left(c x +b \right) b^{2}}+\frac{3 A \,d^{2} e \ln \left(x \right)}{b^{2}}-\frac{3 A \,d^{2} e \ln \left(c x +b \right)}{b^{2}}-\frac{2 A c \,d^{3} \ln \left(x \right)}{b^{3}}+\frac{2 A c \,d^{3} \ln \left(c x +b \right)}{b^{3}}-\frac{3 A d \,e^{2}}{\left(c x +b \right) c}+\frac{A \,e^{3} \ln \left(c x +b \right)}{c^{2}}-\frac{B \,b^{2} e^{3}}{\left(c x +b \right) c^{3}}+\frac{3 B b d \,e^{2}}{\left(c x +b \right) c^{2}}-\frac{2 B b \,e^{3} \ln \left(c x +b \right)}{c^{3}}+\frac{B \,d^{3}}{\left(c x +b \right) b}+\frac{B \,d^{3} \ln \left(x \right)}{b^{2}}-\frac{B \,d^{3} \ln \left(c x +b \right)}{b^{2}}-\frac{3 B \,d^{2} e}{\left(c x +b \right) c}+\frac{3 B d \,e^{2} \ln \left(c x +b \right)}{c^{2}}+\frac{B \,e^{3} x}{c^{2}}-\frac{A \,d^{3}}{b^{2} x}"," ",0,"B*e^3*x/c^2+1/c^2*ln(c*x+b)*A*e^3-3/b^2*ln(c*x+b)*A*d^2*e+2*c/b^3*ln(c*x+b)*A*d^3-2/c^3*b*ln(c*x+b)*B*e^3+3/c^2*ln(c*x+b)*B*d*e^2-1/b^2*ln(c*x+b)*B*d^3+b/c^2/(c*x+b)*A*e^3-3/c/(c*x+b)*A*d*e^2+3/b/(c*x+b)*A*d^2*e-1/b^2*c/(c*x+b)*A*d^3-b^2/c^3/(c*x+b)*B*e^3+3*b/c^2/(c*x+b)*B*d*e^2-3/c/(c*x+b)*B*d^2*e+1/b/(c*x+b)*B*d^3-A*d^3/b^2/x+3*d^2/b^2*ln(x)*A*e-2*d^3/b^3*ln(x)*A*c+d^3/b^2*ln(x)*B","B"
1148,1,199,108,0.051000," ","int((B*x+A)*(e*x+d)^2/(c*x^2+b*x)^2,x)","\frac{2 A d e}{\left(c x +b \right) b}-\frac{A c \,d^{2}}{\left(c x +b \right) b^{2}}+\frac{2 A d e \ln \left(x \right)}{b^{2}}-\frac{2 A d e \ln \left(c x +b \right)}{b^{2}}-\frac{2 A c \,d^{2} \ln \left(x \right)}{b^{3}}+\frac{2 A c \,d^{2} \ln \left(c x +b \right)}{b^{3}}-\frac{A \,e^{2}}{\left(c x +b \right) c}+\frac{B b \,e^{2}}{\left(c x +b \right) c^{2}}+\frac{B \,d^{2}}{\left(c x +b \right) b}+\frac{B \,d^{2} \ln \left(x \right)}{b^{2}}-\frac{B \,d^{2} \ln \left(c x +b \right)}{b^{2}}-\frac{2 B d e}{\left(c x +b \right) c}+\frac{B \,e^{2} \ln \left(c x +b \right)}{c^{2}}-\frac{A \,d^{2}}{b^{2} x}"," ",0,"-2/b^2*ln(c*x+b)*A*d*e+2/b^3*c*ln(c*x+b)*A*d^2+1/c^2*ln(c*x+b)*B*e^2-1/b^2*ln(c*x+b)*B*d^2-1/c/(c*x+b)*A*e^2+2/b/(c*x+b)*A*d*e-c/b^2/(c*x+b)*A*d^2+1/c^2*b/(c*x+b)*B*e^2-2/c/(c*x+b)*B*d*e+1/b/(c*x+b)*B*d^2-A*d^2/b^2/x+2*d/b^2*ln(x)*A*e-2*d^2/b^3*ln(x)*A*c+d^2/b^2*ln(x)*B","A"
1149,1,133,86,0.056000," ","int((B*x+A)*(e*x+d)/(c*x^2+b*x)^2,x)","\frac{A e}{\left(c x +b \right) b}-\frac{A c d}{\left(c x +b \right) b^{2}}+\frac{A e \ln \left(x \right)}{b^{2}}-\frac{A e \ln \left(c x +b \right)}{b^{2}}-\frac{2 A c d \ln \left(x \right)}{b^{3}}+\frac{2 A c d \ln \left(c x +b \right)}{b^{3}}+\frac{B d}{\left(c x +b \right) b}+\frac{B d \ln \left(x \right)}{b^{2}}-\frac{B d \ln \left(c x +b \right)}{b^{2}}-\frac{B e}{\left(c x +b \right) c}-\frac{A d}{b^{2} x}"," ",0,"1/b/(c*x+b)*A*e-1/b^2*c/(c*x+b)*A*d-1/c/(c*x+b)*B*e+1/b/(c*x+b)*B*d-1/b^2*ln(c*x+b)*A*e+2/b^3*ln(c*x+b)*A*c*d-1/b^2*ln(c*x+b)*B*d+1/b^2*ln(x)*A*e-2/b^3*ln(x)*A*c*d+1/b^2*ln(x)*B*d-A*d/b^2/x","A"
1150,1,78,62,0.055000," ","int((B*x+A)/(c*x^2+b*x)^2,x)","-\frac{A c}{\left(c x +b \right) b^{2}}-\frac{2 A c \ln \left(x \right)}{b^{3}}+\frac{2 A c \ln \left(c x +b \right)}{b^{3}}+\frac{B}{\left(c x +b \right) b}+\frac{B \ln \left(x \right)}{b^{2}}-\frac{B \ln \left(c x +b \right)}{b^{2}}-\frac{A}{b^{2} x}"," ",0,"2/b^3*ln(c*x+b)*A*c-1/b^2*ln(c*x+b)*B-1/b^2/(c*x+b)*A*c+1/b/(c*x+b)*B-A/b^2/x-2/b^3*ln(x)*A*c+1/b^2*ln(x)*B","A"
1151,1,248,147,0.058000," ","int((B*x+A)/(e*x+d)/(c*x^2+b*x)^2,x)","-\frac{3 A \,c^{2} e \ln \left(c x +b \right)}{\left(b e -c d \right)^{2} b^{2}}+\frac{2 A \,c^{3} d \ln \left(c x +b \right)}{\left(b e -c d \right)^{2} b^{3}}+\frac{A \,e^{3} \ln \left(e x +d \right)}{\left(b e -c d \right)^{2} d^{2}}+\frac{2 B c e \ln \left(c x +b \right)}{\left(b e -c d \right)^{2} b}-\frac{B \,c^{2} d \ln \left(c x +b \right)}{\left(b e -c d \right)^{2} b^{2}}-\frac{B \,e^{2} \ln \left(e x +d \right)}{\left(b e -c d \right)^{2} d}+\frac{A \,c^{2}}{\left(b e -c d \right) \left(c x +b \right) b^{2}}-\frac{B c}{\left(b e -c d \right) \left(c x +b \right) b}-\frac{A e \ln \left(x \right)}{b^{2} d^{2}}-\frac{2 A c \ln \left(x \right)}{b^{3} d}+\frac{B \ln \left(x \right)}{b^{2} d}-\frac{A}{b^{2} d x}"," ",0,"-3*c^2/(b*e-c*d)^2/b^2*ln(c*x+b)*A*e+2*c^3/(b*e-c*d)^2/b^3*ln(c*x+b)*A*d+2*c/(b*e-c*d)^2/b*ln(c*x+b)*B*e-c^2/(b*e-c*d)^2/b^2*ln(c*x+b)*B*d+c^2/(b*e-c*d)/b^2/(c*x+b)*A-c/(b*e-c*d)/b/(c*x+b)*B+e^3/(b*e-c*d)^2/d^2*ln(e*x+d)*A-e^2/(b*e-c*d)^2/d*ln(e*x+d)*B-A/b^2/d/x-1/b^2/d^2*ln(x)*A*e-2/b^3/d*ln(x)*A*c+1/b^2/d*ln(x)*B","A"
1152,1,357,201,0.076000," ","int((B*x+A)/(e*x+d)^2/(c*x^2+b*x)^2,x)","\frac{2 A b \,e^{4} \ln \left(e x +d \right)}{\left(b e -c d \right)^{3} d^{3}}+\frac{4 A \,c^{3} e \ln \left(c x +b \right)}{\left(b e -c d \right)^{3} b^{2}}-\frac{2 A \,c^{4} d \ln \left(c x +b \right)}{\left(b e -c d \right)^{3} b^{3}}-\frac{4 A c \,e^{3} \ln \left(e x +d \right)}{\left(b e -c d \right)^{3} d^{2}}-\frac{B b \,e^{3} \ln \left(e x +d \right)}{\left(b e -c d \right)^{3} d^{2}}-\frac{3 B \,c^{2} e \ln \left(c x +b \right)}{\left(b e -c d \right)^{3} b}+\frac{B \,c^{3} d \ln \left(c x +b \right)}{\left(b e -c d \right)^{3} b^{2}}+\frac{3 B c \,e^{2} \ln \left(e x +d \right)}{\left(b e -c d \right)^{3} d}-\frac{A \,c^{3}}{\left(b e -c d \right)^{2} \left(c x +b \right) b^{2}}-\frac{A \,e^{3}}{\left(b e -c d \right)^{2} \left(e x +d \right) d^{2}}+\frac{B \,c^{2}}{\left(b e -c d \right)^{2} \left(c x +b \right) b}+\frac{B \,e^{2}}{\left(b e -c d \right)^{2} \left(e x +d \right) d}-\frac{2 A e \ln \left(x \right)}{b^{2} d^{3}}-\frac{2 A c \ln \left(x \right)}{b^{3} d^{2}}+\frac{B \ln \left(x \right)}{b^{2} d^{2}}-\frac{A}{b^{2} d^{2} x}"," ",0,"4*c^3/(b*e-c*d)^3/b^2*ln(c*x+b)*A*e-2*c^4/(b*e-c*d)^3/b^3*ln(c*x+b)*A*d-3*c^2/(b*e-c*d)^3/b*ln(c*x+b)*B*e+c^3/(b*e-c*d)^3/b^2*ln(c*x+b)*B*d-c^3/(b*e-c*d)^2/b^2/(c*x+b)*A+c^2/(b*e-c*d)^2/b/(c*x+b)*B+2*e^4/(b*e-c*d)^3/d^3*ln(e*x+d)*A*b-4*e^3/(b*e-c*d)^3/d^2*ln(e*x+d)*A*c-e^3/(b*e-c*d)^3/d^2*ln(e*x+d)*B*b+3*e^2/(b*e-c*d)^3/d*ln(e*x+d)*B*c-e^3/(b*e-c*d)^2/d^2/(e*x+d)*A+e^2/(b*e-c*d)^2/d/(e*x+d)*B-A/b^2/d^2/x-2/b^2/d^3*ln(x)*A*e-2/b^3/d^2*ln(x)*A*c+1/b^2/d^2*ln(x)*B","A"
1153,1,528,281,0.105000," ","int((B*x+A)/(e*x+d)^3/(c*x^2+b*x)^2,x)","\frac{3 A \,b^{2} e^{5} \ln \left(e x +d \right)}{\left(b e -c d \right)^{4} d^{4}}-\frac{10 A b c \,e^{4} \ln \left(e x +d \right)}{\left(b e -c d \right)^{4} d^{3}}-\frac{5 A \,c^{4} e \ln \left(c x +b \right)}{\left(b e -c d \right)^{4} b^{2}}+\frac{2 A \,c^{5} d \ln \left(c x +b \right)}{\left(b e -c d \right)^{4} b^{3}}+\frac{10 A \,c^{2} e^{3} \ln \left(e x +d \right)}{\left(b e -c d \right)^{4} d^{2}}-\frac{B \,b^{2} e^{4} \ln \left(e x +d \right)}{\left(b e -c d \right)^{4} d^{3}}+\frac{4 B b c \,e^{3} \ln \left(e x +d \right)}{\left(b e -c d \right)^{4} d^{2}}+\frac{4 B \,c^{3} e \ln \left(c x +b \right)}{\left(b e -c d \right)^{4} b}-\frac{B \,c^{4} d \ln \left(c x +b \right)}{\left(b e -c d \right)^{4} b^{2}}-\frac{6 B \,c^{2} e^{2} \ln \left(e x +d \right)}{\left(b e -c d \right)^{4} d}-\frac{2 A b \,e^{4}}{\left(b e -c d \right)^{3} \left(e x +d \right) d^{3}}+\frac{A \,c^{4}}{\left(b e -c d \right)^{3} \left(c x +b \right) b^{2}}+\frac{4 A c \,e^{3}}{\left(b e -c d \right)^{3} \left(e x +d \right) d^{2}}+\frac{B b \,e^{3}}{\left(b e -c d \right)^{3} \left(e x +d \right) d^{2}}-\frac{B \,c^{3}}{\left(b e -c d \right)^{3} \left(c x +b \right) b}-\frac{3 B c \,e^{2}}{\left(b e -c d \right)^{3} \left(e x +d \right) d}-\frac{A \,e^{3}}{2 \left(b e -c d \right)^{2} \left(e x +d \right)^{2} d^{2}}+\frac{B \,e^{2}}{2 \left(b e -c d \right)^{2} \left(e x +d \right)^{2} d}-\frac{3 A e \ln \left(x \right)}{b^{2} d^{4}}-\frac{2 A c \ln \left(x \right)}{b^{3} d^{3}}+\frac{B \ln \left(x \right)}{b^{2} d^{3}}-\frac{A}{b^{2} d^{3} x}"," ",0,"-5*c^4/(b*e-c*d)^4/b^2*ln(c*x+b)*A*e+2*c^5/(b*e-c*d)^4/b^3*ln(c*x+b)*A*d+4*c^3/(b*e-c*d)^4/b*ln(c*x+b)*B*e-c^4/(b*e-c*d)^4/b^2*ln(c*x+b)*B*d+c^4/(b*e-c*d)^3/b^2/(c*x+b)*A-c^3/(b*e-c*d)^3/b/(c*x+b)*B-2*e^4/(b*e-c*d)^3/d^3/(e*x+d)*A*b+4*e^3/(b*e-c*d)^3/d^2/(e*x+d)*A*c+e^3/(b*e-c*d)^3/d^2/(e*x+d)*B*b-3*e^2/(b*e-c*d)^3/d/(e*x+d)*B*c+3*e^5/(b*e-c*d)^4/d^4*ln(e*x+d)*A*b^2-10*e^4/(b*e-c*d)^4/d^3*ln(e*x+d)*A*b*c+10*e^3/(b*e-c*d)^4/d^2*ln(e*x+d)*A*c^2-e^4/(b*e-c*d)^4/d^3*ln(e*x+d)*B*b^2+4*e^3/(b*e-c*d)^4/d^2*ln(e*x+d)*B*b*c-6*e^2/(b*e-c*d)^4/d*ln(e*x+d)*B*c^2-1/2*e^3/(b*e-c*d)^2/d^2/(e*x+d)^2*A+1/2*e^2/(b*e-c*d)^2/d/(e*x+d)^2*B-A/b^2/d^3/x-3/b^2/d^4*ln(x)*A*e-2/b^3/d^3*ln(x)*A*c+1/b^2/d^3*ln(x)*B","A"
1154,1,661,253,0.072000," ","int((B*x+A)*(e*x+d)^5/(c*x^2+b*x)^3,x)","-\frac{A \,b^{2} e^{5}}{2 \left(c x +b \right)^{2} c^{3}}+\frac{5 A b d \,e^{4}}{2 \left(c x +b \right)^{2} c^{2}}+\frac{5 A \,d^{3} e^{2}}{\left(c x +b \right)^{2} b}-\frac{5 A c \,d^{4} e}{2 \left(c x +b \right)^{2} b^{2}}+\frac{A \,c^{2} d^{5}}{2 \left(c x +b \right)^{2} b^{3}}-\frac{5 A \,d^{2} e^{3}}{\left(c x +b \right)^{2} c}+\frac{B \,b^{3} e^{5}}{2 \left(c x +b \right)^{2} c^{4}}-\frac{5 B \,b^{2} d \,e^{4}}{2 \left(c x +b \right)^{2} c^{3}}+\frac{5 B b \,d^{2} e^{3}}{\left(c x +b \right)^{2} c^{2}}+\frac{5 B \,d^{4} e}{2 \left(c x +b \right)^{2} b}-\frac{B c \,d^{5}}{2 \left(c x +b \right)^{2} b^{2}}-\frac{5 B \,d^{3} e^{2}}{\left(c x +b \right)^{2} c}+\frac{2 A b \,e^{5}}{\left(c x +b \right) c^{3}}+\frac{10 A \,d^{3} e^{2}}{\left(c x +b \right) b^{2}}-\frac{10 A c \,d^{4} e}{\left(c x +b \right) b^{3}}+\frac{10 A \,d^{3} e^{2} \ln \left(x \right)}{b^{3}}-\frac{10 A \,d^{3} e^{2} \ln \left(c x +b \right)}{b^{3}}+\frac{3 A \,c^{2} d^{5}}{\left(c x +b \right) b^{4}}-\frac{15 A c \,d^{4} e \ln \left(x \right)}{b^{4}}+\frac{15 A c \,d^{4} e \ln \left(c x +b \right)}{b^{4}}+\frac{6 A \,c^{2} d^{5} \ln \left(x \right)}{b^{5}}-\frac{6 A \,c^{2} d^{5} \ln \left(c x +b \right)}{b^{5}}-\frac{5 A d \,e^{4}}{\left(c x +b \right) c^{2}}+\frac{A \,e^{5} \ln \left(c x +b \right)}{c^{3}}-\frac{3 B \,b^{2} e^{5}}{\left(c x +b \right) c^{4}}+\frac{10 B b d \,e^{4}}{\left(c x +b \right) c^{3}}-\frac{3 B b \,e^{5} \ln \left(c x +b \right)}{c^{4}}+\frac{5 B \,d^{4} e}{\left(c x +b \right) b^{2}}-\frac{2 B c \,d^{5}}{\left(c x +b \right) b^{3}}+\frac{5 B \,d^{4} e \ln \left(x \right)}{b^{3}}-\frac{5 B \,d^{4} e \ln \left(c x +b \right)}{b^{3}}-\frac{3 B c \,d^{5} \ln \left(x \right)}{b^{4}}+\frac{3 B c \,d^{5} \ln \left(c x +b \right)}{b^{4}}-\frac{10 B \,d^{2} e^{3}}{\left(c x +b \right) c^{2}}+\frac{5 B d \,e^{4} \ln \left(c x +b \right)}{c^{3}}+\frac{B \,e^{5} x}{c^{3}}-\frac{5 A \,d^{4} e}{b^{3} x}+\frac{3 A c \,d^{5}}{b^{4} x}-\frac{B \,d^{5}}{b^{3} x}-\frac{A \,d^{5}}{2 b^{3} x^{2}}"," ",0,"15*c/b^4*ln(c*x+b)*A*d^4*e-15*d^4/b^4*ln(x)*A*e*c+5/c^2*b/(c*x+b)^2*B*d^2*e^3+5/2/c^2*b/(c*x+b)^2*A*d*e^4-5/2*c/b^2/(c*x+b)^2*A*d^4*e-5/2/c^3*b^2/(c*x+b)^2*B*d*e^4-10*c/b^3/(c*x+b)*A*d^4*e+10/c^3*b/(c*x+b)*B*d*e^4-d^5/b^3/x*B+1/c^3*ln(c*x+b)*A*e^5-2*c/b^3/(c*x+b)*B*d^5-1/2/c^3*b^2/(c*x+b)^2*A*e^5+1/2*c^2/b^3/(c*x+b)^2*A*d^5+1/2/c^4*b^3/(c*x+b)^2*B*e^5-1/2*c/b^2/(c*x+b)^2*B*d^5-10/b^3*ln(c*x+b)*A*d^3*e^2-5*d^4/b^3/x*A*e+3*d^5/b^4/x*A*c-5/c^2/(c*x+b)*A*d*e^4-10/c^2/(c*x+b)*B*d^2*e^3-5/c/(c*x+b)^2*B*d^3*e^2+5/2/b/(c*x+b)^2*B*d^4*e+5/b^2/(c*x+b)*B*d^4*e-5/c/(c*x+b)^2*A*d^2*e^3+5/b/(c*x+b)^2*A*d^3*e^2+10/b^2/(c*x+b)*A*d^3*e^2+10*d^3/b^3*ln(x)*A*e^2+6*d^5/b^5*ln(x)*A*c^2+5*d^4/b^3*ln(x)*B*e-3*d^5/b^4*ln(x)*B*c-6*c^2/b^5*ln(c*x+b)*A*d^5-3/c^4*b*ln(c*x+b)*B*e^5+5/c^3*ln(c*x+b)*B*d*e^4-5/b^3*ln(c*x+b)*B*d^4*e+3*c/b^4*ln(c*x+b)*B*d^5+2/c^3*b/(c*x+b)*A*e^5+3*c^2/b^4/(c*x+b)*A*d^5-3/c^4*b^2/(c*x+b)*B*e^5-1/2*A*d^5/b^3/x^2+B*e^5*x/c^3","B"
1155,1,536,231,0.057000," ","int((B*x+A)*(e*x+d)^4/(c*x^2+b*x)^3,x)","\frac{A b \,e^{4}}{2 \left(c x +b \right)^{2} c^{2}}+\frac{3 A \,d^{2} e^{2}}{\left(c x +b \right)^{2} b}-\frac{2 A c \,d^{3} e}{\left(c x +b \right)^{2} b^{2}}+\frac{A \,c^{2} d^{4}}{2 \left(c x +b \right)^{2} b^{3}}-\frac{2 A d \,e^{3}}{\left(c x +b \right)^{2} c}-\frac{B \,b^{2} e^{4}}{2 \left(c x +b \right)^{2} c^{3}}+\frac{2 B b d \,e^{3}}{\left(c x +b \right)^{2} c^{2}}+\frac{2 B \,d^{3} e}{\left(c x +b \right)^{2} b}-\frac{B c \,d^{4}}{2 \left(c x +b \right)^{2} b^{2}}-\frac{3 B \,d^{2} e^{2}}{\left(c x +b \right)^{2} c}+\frac{6 A \,d^{2} e^{2}}{\left(c x +b \right) b^{2}}-\frac{8 A c \,d^{3} e}{\left(c x +b \right) b^{3}}+\frac{6 A \,d^{2} e^{2} \ln \left(x \right)}{b^{3}}-\frac{6 A \,d^{2} e^{2} \ln \left(c x +b \right)}{b^{3}}+\frac{3 A \,c^{2} d^{4}}{\left(c x +b \right) b^{4}}-\frac{12 A c \,d^{3} e \ln \left(x \right)}{b^{4}}+\frac{12 A c \,d^{3} e \ln \left(c x +b \right)}{b^{4}}+\frac{6 A \,c^{2} d^{4} \ln \left(x \right)}{b^{5}}-\frac{6 A \,c^{2} d^{4} \ln \left(c x +b \right)}{b^{5}}-\frac{A \,e^{4}}{\left(c x +b \right) c^{2}}+\frac{2 B b \,e^{4}}{\left(c x +b \right) c^{3}}+\frac{4 B \,d^{3} e}{\left(c x +b \right) b^{2}}-\frac{2 B c \,d^{4}}{\left(c x +b \right) b^{3}}+\frac{4 B \,d^{3} e \ln \left(x \right)}{b^{3}}-\frac{4 B \,d^{3} e \ln \left(c x +b \right)}{b^{3}}-\frac{3 B c \,d^{4} \ln \left(x \right)}{b^{4}}+\frac{3 B c \,d^{4} \ln \left(c x +b \right)}{b^{4}}-\frac{4 B d \,e^{3}}{\left(c x +b \right) c^{2}}+\frac{B \,e^{4} \ln \left(c x +b \right)}{c^{3}}-\frac{4 A \,d^{3} e}{b^{3} x}+\frac{3 A c \,d^{4}}{b^{4} x}-\frac{B \,d^{4}}{b^{3} x}-\frac{A \,d^{4}}{2 b^{3} x^{2}}"," ",0,"-8*c/b^3/(c*x+b)*A*d^3*e+2*b/c^2/(c*x+b)^2*B*d*e^3-12*d^3/b^4*ln(x)*A*e*c+12/b^4*c*ln(c*x+b)*A*d^3*e-2/b^2*c/(c*x+b)^2*A*d^3*e-2/c/(c*x+b)^2*A*d*e^3+3/b/(c*x+b)^2*A*d^2*e^2+1/c^3*ln(c*x+b)*B*e^4-d^4/b^3/x*B-1/c^2/(c*x+b)*A*e^4-3/c/(c*x+b)^2*B*d^2*e^2+2/b/(c*x+b)^2*B*d^3*e+6/b^2/(c*x+b)*A*d^2*e^2-4/c^2/(c*x+b)*B*d*e^3+4/b^2/(c*x+b)*B*d^3*e-6/b^3*ln(c*x+b)*A*d^2*e^2-6/b^5*c^2*ln(c*x+b)*A*d^4+6*d^2/b^3*ln(x)*A*e^2+6*d^4/b^5*ln(x)*A*c^2+4*d^3/b^3*ln(x)*B*e-3*d^4/b^4*ln(x)*B*c-4*d^3/b^3/x*A*e+3*d^4/b^4/x*A*c-4/b^3*ln(c*x+b)*B*d^3*e+3/b^4*c*ln(c*x+b)*B*d^4+1/2*b/c^2/(c*x+b)^2*A*e^4+1/2/b^3*c^2/(c*x+b)^2*A*d^4-1/2*b^2/c^3/(c*x+b)^2*B*e^4-1/2/b^2*c/(c*x+b)^2*B*d^4+3*c^2/b^4/(c*x+b)*A*d^4+2/c^3*b/(c*x+b)*B*e^4-2*c/b^3/(c*x+b)*B*d^4-1/2*A*d^4/b^3/x^2","B"
1156,1,440,181,0.056000," ","int((B*x+A)*(e*x+d)^3/(c*x^2+b*x)^3,x)","\frac{3 A d \,e^{2}}{2 \left(c x +b \right)^{2} b}-\frac{3 A c \,d^{2} e}{2 \left(c x +b \right)^{2} b^{2}}+\frac{A \,c^{2} d^{3}}{2 \left(c x +b \right)^{2} b^{3}}-\frac{A \,e^{3}}{2 \left(c x +b \right)^{2} c}+\frac{B b \,e^{3}}{2 \left(c x +b \right)^{2} c^{2}}+\frac{3 B \,d^{2} e}{2 \left(c x +b \right)^{2} b}-\frac{B c \,d^{3}}{2 \left(c x +b \right)^{2} b^{2}}-\frac{3 B d \,e^{2}}{2 \left(c x +b \right)^{2} c}+\frac{3 A d \,e^{2}}{\left(c x +b \right) b^{2}}-\frac{6 A c \,d^{2} e}{\left(c x +b \right) b^{3}}+\frac{3 A d \,e^{2} \ln \left(x \right)}{b^{3}}-\frac{3 A d \,e^{2} \ln \left(c x +b \right)}{b^{3}}+\frac{3 A \,c^{2} d^{3}}{\left(c x +b \right) b^{4}}-\frac{9 A c \,d^{2} e \ln \left(x \right)}{b^{4}}+\frac{9 A c \,d^{2} e \ln \left(c x +b \right)}{b^{4}}+\frac{6 A \,c^{2} d^{3} \ln \left(x \right)}{b^{5}}-\frac{6 A \,c^{2} d^{3} \ln \left(c x +b \right)}{b^{5}}+\frac{3 B \,d^{2} e}{\left(c x +b \right) b^{2}}-\frac{2 B c \,d^{3}}{\left(c x +b \right) b^{3}}+\frac{3 B \,d^{2} e \ln \left(x \right)}{b^{3}}-\frac{3 B \,d^{2} e \ln \left(c x +b \right)}{b^{3}}-\frac{3 B c \,d^{3} \ln \left(x \right)}{b^{4}}+\frac{3 B c \,d^{3} \ln \left(c x +b \right)}{b^{4}}-\frac{B \,e^{3}}{\left(c x +b \right) c^{2}}-\frac{3 A \,d^{2} e}{b^{3} x}+\frac{3 A c \,d^{3}}{b^{4} x}-\frac{B \,d^{3}}{b^{3} x}-\frac{A \,d^{3}}{2 b^{3} x^{2}}"," ",0,"-9*d^2/b^4*ln(x)*A*e*c-3/2*c/b^2/(c*x+b)^2*A*d^2*e-6/b^3*c/(c*x+b)*A*d^2*e+9*d^2/b^4*ln(c*x+b)*A*e*c-1/c^2/(c*x+b)*B*e^3-1/2/c/(c*x+b)^2*A*e^3-d^3/b^3/x*B+3/2/b/(c*x+b)^2*A*d*e^2+3/b^2/(c*x+b)*B*d^2*e+3/b^4*c^2/(c*x+b)*A*d^3-2/b^3*c/(c*x+b)*B*d^3+1/2*c^2/b^3/(c*x+b)^2*A*d^3+1/2/c^2*b/(c*x+b)^2*B*e^3+3*d/b^3*ln(x)*A*e^2+6*d^3/b^5*ln(x)*A*c^2+3*d^2/b^3*ln(x)*B*e-3*d^3/b^4*ln(x)*B*c-1/2*c/b^2/(c*x+b)^2*B*d^3+3/b^2/(c*x+b)*A*d*e^2-3*d^2/b^3*ln(c*x+b)*B*e-3/2/c/(c*x+b)^2*B*d*e^2+3/2/b/(c*x+b)^2*B*d^2*e+3*d^3/b^4*ln(c*x+b)*B*c-3*d^2/b^3/x*A*e+3*d^3/b^4/x*A*c-6*d^3/b^5*ln(c*x+b)*A*c^2-3*d/b^3*ln(c*x+b)*A*e^2-1/2*A*d^3/b^3/x^2","B"
1157,1,365,194,0.060000," ","int((B*x+A)*(e*x+d)^2/(c*x^2+b*x)^3,x)","\frac{A \,e^{2}}{2 \left(c x +b \right)^{2} b}-\frac{A c d e}{\left(c x +b \right)^{2} b^{2}}+\frac{A \,c^{2} d^{2}}{2 \left(c x +b \right)^{2} b^{3}}+\frac{B d e}{\left(c x +b \right)^{2} b}-\frac{B c \,d^{2}}{2 \left(c x +b \right)^{2} b^{2}}-\frac{B \,e^{2}}{2 \left(c x +b \right)^{2} c}+\frac{A \,e^{2}}{\left(c x +b \right) b^{2}}-\frac{4 A c d e}{\left(c x +b \right) b^{3}}+\frac{A \,e^{2} \ln \left(x \right)}{b^{3}}-\frac{A \,e^{2} \ln \left(c x +b \right)}{b^{3}}+\frac{3 A \,c^{2} d^{2}}{\left(c x +b \right) b^{4}}-\frac{6 A c d e \ln \left(x \right)}{b^{4}}+\frac{6 A c d e \ln \left(c x +b \right)}{b^{4}}+\frac{6 A \,c^{2} d^{2} \ln \left(x \right)}{b^{5}}-\frac{6 A \,c^{2} d^{2} \ln \left(c x +b \right)}{b^{5}}+\frac{2 B d e}{\left(c x +b \right) b^{2}}-\frac{2 B c \,d^{2}}{\left(c x +b \right) b^{3}}+\frac{2 B d e \ln \left(x \right)}{b^{3}}-\frac{2 B d e \ln \left(c x +b \right)}{b^{3}}-\frac{3 B c \,d^{2} \ln \left(x \right)}{b^{4}}+\frac{3 B c \,d^{2} \ln \left(c x +b \right)}{b^{4}}-\frac{2 A d e}{b^{3} x}+\frac{3 A c \,d^{2}}{b^{4} x}-\frac{B \,d^{2}}{b^{3} x}-\frac{A \,d^{2}}{2 b^{3} x^{2}}"," ",0,"1/b^2/(c*x+b)*A*e^2+1/2/b/(c*x+b)^2*A*e^2-1/2/c/(c*x+b)^2*B*e^2-d^2/b^3/x*B+1/b^3*ln(x)*A*e^2-1/b^3*ln(c*x+b)*A*e^2+6/b^4*ln(c*x+b)*A*d*e*c-1/b^2*c/(c*x+b)^2*A*d*e-4/b^3/(c*x+b)*A*d*e*c-6/b^4*ln(x)*A*d*e*c-6/b^5*ln(c*x+b)*A*c^2*d^2+1/b/(c*x+b)^2*B*d*e-3/b^4*ln(x)*B*d^2*c+1/2/b^3*c^2/(c*x+b)^2*A*d^2-1/2/b^2*c/(c*x+b)^2*B*d^2+2/b^2/(c*x+b)*B*d*e-2/b^3/(c*x+b)*B*d^2*c+3/b^4/(c*x+b)*A*c^2*d^2-2*d/b^3/x*A*e+3*d^2/b^4/x*A*c+6/b^5*ln(x)*A*c^2*d^2+2/b^3*ln(x)*B*d*e-2/b^3*ln(c*x+b)*B*d*e+3/b^4*ln(c*x+b)*B*d^2*c-1/2*A*d^2/b^3/x^2","A"
1158,1,261,165,0.058000," ","int((B*x+A)*(e*x+d)/(c*x^2+b*x)^3,x)","-\frac{A c e}{2 \left(c x +b \right)^{2} b^{2}}+\frac{A \,c^{2} d}{2 \left(c x +b \right)^{2} b^{3}}+\frac{B e}{2 \left(c x +b \right)^{2} b}-\frac{B c d}{2 \left(c x +b \right)^{2} b^{2}}-\frac{2 A c e}{\left(c x +b \right) b^{3}}+\frac{3 A \,c^{2} d}{\left(c x +b \right) b^{4}}-\frac{3 A c e \ln \left(x \right)}{b^{4}}+\frac{3 A c e \ln \left(c x +b \right)}{b^{4}}+\frac{6 A \,c^{2} d \ln \left(x \right)}{b^{5}}-\frac{6 A \,c^{2} d \ln \left(c x +b \right)}{b^{5}}+\frac{B e}{\left(c x +b \right) b^{2}}-\frac{2 B c d}{\left(c x +b \right) b^{3}}+\frac{B e \ln \left(x \right)}{b^{3}}-\frac{B e \ln \left(c x +b \right)}{b^{3}}-\frac{3 B c d \ln \left(x \right)}{b^{4}}+\frac{3 B c d \ln \left(c x +b \right)}{b^{4}}-\frac{A e}{b^{3} x}+\frac{3 A c d}{b^{4} x}-\frac{B d}{b^{3} x}-\frac{A d}{2 b^{3} x^{2}}"," ",0,"-2/b^3/(c*x+b)*A*e*c+3/b^4/(c*x+b)*A*c^2*d+1/b^2/(c*x+b)*B*e-2/b^3/(c*x+b)*B*d*c+3/b^4*ln(c*x+b)*A*e*c-6/b^5*ln(c*x+b)*A*c^2*d-1/b^3*ln(c*x+b)*B*e+3/b^4*ln(c*x+b)*B*d*c-1/2/b^2/(c*x+b)^2*A*e*c+1/2/b^3/(c*x+b)^2*A*c^2*d+1/2/b/(c*x+b)^2*B*e-1/2/b^2/(c*x+b)^2*B*d*c-1/b^3/x*A*e+3/b^4/x*A*c*d-1/b^3/x*B*d-3/b^4*ln(x)*A*e*c+6/b^5*ln(x)*A*c^2*d+1/b^3*ln(x)*B*e-3/b^4*ln(x)*B*d*c-1/2*A*d/b^3/x^2","A"
1159,1,138,105,0.048000," ","int((B*x+A)/(c*x^2+b*x)^3,x)","\frac{A \,c^{2}}{2 \left(c x +b \right)^{2} b^{3}}-\frac{B c}{2 \left(c x +b \right)^{2} b^{2}}+\frac{3 A \,c^{2}}{\left(c x +b \right) b^{4}}+\frac{6 A \,c^{2} \ln \left(x \right)}{b^{5}}-\frac{6 A \,c^{2} \ln \left(c x +b \right)}{b^{5}}-\frac{2 B c}{\left(c x +b \right) b^{3}}-\frac{3 B c \ln \left(x \right)}{b^{4}}+\frac{3 B c \ln \left(c x +b \right)}{b^{4}}+\frac{3 A c}{b^{4} x}-\frac{B}{b^{3} x}-\frac{A}{2 b^{3} x^{2}}"," ",0,"-6*c^2/b^5*ln(c*x+b)*A+3*c/b^4*ln(c*x+b)*B+3*c^2/b^4/(c*x+b)*A-2*c/b^3/(c*x+b)*B+1/2*c^2/b^3/(c*x+b)^2*A-1/2*c/b^2/(c*x+b)^2*B-1/2*A/b^3/x^2+3/b^4/x*A*c-1/b^3/x*B+6*c^2/b^5*ln(x)*A-3*c/b^4*ln(x)*B","A"
1160,1,490,274,0.072000," ","int((B*x+A)/(e*x+d)/(c*x^2+b*x)^3,x)","\frac{10 A \,c^{3} e^{2} \ln \left(c x +b \right)}{\left(b e -c d \right)^{3} b^{3}}-\frac{15 A \,c^{4} d e \ln \left(c x +b \right)}{\left(b e -c d \right)^{3} b^{4}}+\frac{6 A \,c^{5} d^{2} \ln \left(c x +b \right)}{\left(b e -c d \right)^{3} b^{5}}-\frac{A \,e^{5} \ln \left(e x +d \right)}{\left(b e -c d \right)^{3} d^{3}}-\frac{6 B \,c^{2} e^{2} \ln \left(c x +b \right)}{\left(b e -c d \right)^{3} b^{2}}+\frac{8 B \,c^{3} d e \ln \left(c x +b \right)}{\left(b e -c d \right)^{3} b^{3}}-\frac{3 B \,c^{4} d^{2} \ln \left(c x +b \right)}{\left(b e -c d \right)^{3} b^{4}}+\frac{B \,e^{4} \ln \left(e x +d \right)}{\left(b e -c d \right)^{3} d^{2}}-\frac{4 A \,c^{3} e}{\left(b e -c d \right)^{2} \left(c x +b \right) b^{3}}+\frac{3 A \,c^{4} d}{\left(b e -c d \right)^{2} \left(c x +b \right) b^{4}}+\frac{3 B \,c^{2} e}{\left(b e -c d \right)^{2} \left(c x +b \right) b^{2}}-\frac{2 B \,c^{3} d}{\left(b e -c d \right)^{2} \left(c x +b \right) b^{3}}-\frac{A \,c^{3}}{2 \left(b e -c d \right) \left(c x +b \right)^{2} b^{3}}+\frac{B \,c^{2}}{2 \left(b e -c d \right) \left(c x +b \right)^{2} b^{2}}+\frac{A \,e^{2} \ln \left(x \right)}{b^{3} d^{3}}+\frac{3 A c e \ln \left(x \right)}{b^{4} d^{2}}+\frac{6 A \,c^{2} \ln \left(x \right)}{b^{5} d}-\frac{B e \ln \left(x \right)}{b^{3} d^{2}}-\frac{3 B c \ln \left(x \right)}{b^{4} d}+\frac{A e}{b^{3} d^{2} x}+\frac{3 A c}{b^{4} d x}-\frac{B}{b^{3} d x}-\frac{A}{2 b^{3} d \,x^{2}}"," ",0,"-4*c^3/(b*e-c*d)^2/b^3/(c*x+b)*A*e+3*c^4/(b*e-c*d)^2/b^4/(c*x+b)*A*d+3*c^2/(b*e-c*d)^2/b^2/(c*x+b)*B*e-2*c^3/(b*e-c*d)^2/b^3/(c*x+b)*B*d+10*c^3/(b*e-c*d)^3/b^3*ln(c*x+b)*A*e^2-15*c^4/(b*e-c*d)^3/b^4*ln(c*x+b)*A*d*e+6*c^5/(b*e-c*d)^3/b^5*ln(c*x+b)*A*d^2-6*c^2/(b*e-c*d)^3/b^2*ln(c*x+b)*B*e^2+8*c^3/(b*e-c*d)^3/b^3*ln(c*x+b)*B*d*e-3*c^4/(b*e-c*d)^3/b^4*ln(c*x+b)*B*d^2-1/2*c^3/(b*e-c*d)/b^3/(c*x+b)^2*A+1/2*c^2/(b*e-c*d)/b^2/(c*x+b)^2*B-e^5/(b*e-c*d)^3/d^3*ln(e*x+d)*A+e^4/(b*e-c*d)^3/d^2*ln(e*x+d)*B-1/2*A/b^3/d/x^2+1/b^3/d^2/x*A*e+3/b^4/d/x*A*c-1/b^3/d/x*B+1/b^3/d^3*ln(x)*A*e^2+3/b^4/d^2*ln(x)*A*e*c+6/b^5/d*ln(x)*A*c^2-1/b^3/d^2*ln(x)*B*e-3/b^4/d*ln(x)*B*c","A"
1161,1,598,327,0.084000," ","int((B*x+A)/(e*x+d)^2/(c*x^2+b*x)^3,x)","-\frac{3 A b \,e^{6} \ln \left(e x +d \right)}{\left(b e -c d \right)^{4} d^{4}}-\frac{15 A \,c^{4} e^{2} \ln \left(c x +b \right)}{\left(b e -c d \right)^{4} b^{3}}+\frac{18 A \,c^{5} d e \ln \left(c x +b \right)}{\left(b e -c d \right)^{4} b^{4}}-\frac{6 A \,c^{6} d^{2} \ln \left(c x +b \right)}{\left(b e -c d \right)^{4} b^{5}}+\frac{6 A c \,e^{5} \ln \left(e x +d \right)}{\left(b e -c d \right)^{4} d^{3}}+\frac{2 B b \,e^{5} \ln \left(e x +d \right)}{\left(b e -c d \right)^{4} d^{3}}+\frac{10 B \,c^{3} e^{2} \ln \left(c x +b \right)}{\left(b e -c d \right)^{4} b^{2}}-\frac{10 B \,c^{4} d e \ln \left(c x +b \right)}{\left(b e -c d \right)^{4} b^{3}}+\frac{3 B \,c^{5} d^{2} \ln \left(c x +b \right)}{\left(b e -c d \right)^{4} b^{4}}-\frac{5 B c \,e^{4} \ln \left(e x +d \right)}{\left(b e -c d \right)^{4} d^{2}}+\frac{5 A \,c^{4} e}{\left(b e -c d \right)^{3} \left(c x +b \right) b^{3}}-\frac{3 A \,c^{5} d}{\left(b e -c d \right)^{3} \left(c x +b \right) b^{4}}+\frac{A \,e^{5}}{\left(b e -c d \right)^{3} \left(e x +d \right) d^{3}}-\frac{4 B \,c^{3} e}{\left(b e -c d \right)^{3} \left(c x +b \right) b^{2}}+\frac{2 B \,c^{4} d}{\left(b e -c d \right)^{3} \left(c x +b \right) b^{3}}-\frac{B \,e^{4}}{\left(b e -c d \right)^{3} \left(e x +d \right) d^{2}}+\frac{A \,c^{4}}{2 \left(b e -c d \right)^{2} \left(c x +b \right)^{2} b^{3}}-\frac{B \,c^{3}}{2 \left(b e -c d \right)^{2} \left(c x +b \right)^{2} b^{2}}+\frac{3 A \,e^{2} \ln \left(x \right)}{b^{3} d^{4}}+\frac{6 A c e \ln \left(x \right)}{b^{4} d^{3}}+\frac{6 A \,c^{2} \ln \left(x \right)}{b^{5} d^{2}}-\frac{2 B e \ln \left(x \right)}{b^{3} d^{3}}-\frac{3 B c \ln \left(x \right)}{b^{4} d^{2}}+\frac{2 A e}{b^{3} d^{3} x}+\frac{3 A c}{b^{4} d^{2} x}-\frac{B}{b^{3} d^{2} x}-\frac{A}{2 b^{3} d^{2} x^{2}}"," ",0,"-1/b^3/d^2/x*B-10*c^4/(b*e-c*d)^4/b^3*ln(c*x+b)*B*d*e+18*c^5/(b*e-c*d)^4/b^4*ln(c*x+b)*A*d*e-2/d^3/b^3*ln(x)*B*e-3/d^2/b^4*ln(x)*B*c+1/2*c^4/(b*e-c*d)^2/b^3/(c*x+b)^2*A-1/2*c^3/(b*e-c*d)^2/b^2/(c*x+b)^2*B+e^5/(b*e-c*d)^3/d^3/(e*x+d)*A-e^4/(b*e-c*d)^3/d^2/(e*x+d)*B+2/b^3/d^3/x*A*e+3/b^4/d^2/x*A*c+2*c^4/(b*e-c*d)^3/b^3/(c*x+b)*B*d+6/d^3/b^4*ln(x)*A*e*c-3*e^6/(b*e-c*d)^4/d^4*ln(e*x+d)*A*b+6*e^5/(b*e-c*d)^4/d^3*ln(e*x+d)*A*c+2*e^5/(b*e-c*d)^4/d^3*ln(e*x+d)*B*b-5*e^4/(b*e-c*d)^4/d^2*ln(e*x+d)*B*c-6*c^6/(b*e-c*d)^4/b^5*ln(c*x+b)*A*d^2+10*c^3/(b*e-c*d)^4/b^2*ln(c*x+b)*B*e^2+3*c^5/(b*e-c*d)^4/b^4*ln(c*x+b)*B*d^2+5*c^4/(b*e-c*d)^3/b^3/(c*x+b)*A*e-3*c^5/(b*e-c*d)^3/b^4/(c*x+b)*A*d-15*c^4/(b*e-c*d)^4/b^3*ln(c*x+b)*A*e^2-4*c^3/(b*e-c*d)^3/b^2/(c*x+b)*B*e+3/d^4/b^3*ln(x)*A*e^2+6/d^2/b^5*ln(x)*A*c^2-1/2*A/b^3/d^2/x^2","A"
1162,1,1027,380,0.062000," ","int((B*x+A)*(e*x+d)^3*(c*x^2+b*x)^(1/2),x)","\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,e^{3} x^{3}}{6 c}+\frac{7 A \,b^{5} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{256 c^{\frac{9}{2}}}-\frac{15 A \,b^{4} d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{128 c^{\frac{7}{2}}}+\frac{3 A \,b^{3} d^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{16 c^{\frac{5}{2}}}-\frac{A \,b^{2} d^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{8 c^{\frac{3}{2}}}-\frac{21 B \,b^{6} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{1024 c^{\frac{11}{2}}}+\frac{21 B \,b^{5} d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{256 c^{\frac{9}{2}}}-\frac{15 B \,b^{4} d^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{128 c^{\frac{7}{2}}}+\frac{B \,b^{3} d^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{16 c^{\frac{5}{2}}}-\frac{7 \sqrt{c \,x^{2}+b x}\, A \,b^{3} e^{3} x}{64 c^{3}}+\frac{15 \sqrt{c \,x^{2}+b x}\, A \,b^{2} d \,e^{2} x}{32 c^{2}}-\frac{3 \sqrt{c \,x^{2}+b x}\, A b \,d^{2} e x}{4 c}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,e^{3} x^{2}}{5 c}+\frac{\sqrt{c \,x^{2}+b x}\, A \,d^{3} x}{2}+\frac{21 \sqrt{c \,x^{2}+b x}\, B \,b^{4} e^{3} x}{256 c^{4}}-\frac{21 \sqrt{c \,x^{2}+b x}\, B \,b^{3} d \,e^{2} x}{64 c^{3}}+\frac{15 \sqrt{c \,x^{2}+b x}\, B \,b^{2} d^{2} e x}{32 c^{2}}-\frac{\sqrt{c \,x^{2}+b x}\, B b \,d^{3} x}{4 c}-\frac{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B b \,e^{3} x^{2}}{20 c^{2}}+\frac{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B d \,e^{2} x^{2}}{5 c}-\frac{7 \sqrt{c \,x^{2}+b x}\, A \,b^{4} e^{3}}{128 c^{4}}+\frac{15 \sqrt{c \,x^{2}+b x}\, A \,b^{3} d \,e^{2}}{64 c^{3}}-\frac{3 \sqrt{c \,x^{2}+b x}\, A \,b^{2} d^{2} e}{8 c^{2}}+\frac{\sqrt{c \,x^{2}+b x}\, A b \,d^{3}}{4 c}-\frac{7 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A b \,e^{3} x}{40 c^{2}}+\frac{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A d \,e^{2} x}{4 c}+\frac{21 \sqrt{c \,x^{2}+b x}\, B \,b^{5} e^{3}}{512 c^{5}}-\frac{21 \sqrt{c \,x^{2}+b x}\, B \,b^{4} d \,e^{2}}{128 c^{4}}+\frac{15 \sqrt{c \,x^{2}+b x}\, B \,b^{3} d^{2} e}{64 c^{3}}-\frac{\sqrt{c \,x^{2}+b x}\, B \,b^{2} d^{3}}{8 c^{2}}+\frac{21 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{2} e^{3} x}{160 c^{3}}-\frac{21 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B b d \,e^{2} x}{40 c^{2}}+\frac{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,d^{2} e x}{4 c}+\frac{7 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{2} e^{3}}{48 c^{3}}-\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A b d \,e^{2}}{8 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,d^{2} e}{c}-\frac{7 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{3} e^{3}}{64 c^{4}}+\frac{7 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{2} d \,e^{2}}{16 c^{3}}-\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B b \,d^{2} e}{8 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,d^{3}}{3 c}"," ",0,"15/32*b^2/c^2*x*(c*x^2+b*x)^(1/2)*A*d*e^2-21/40*b/c^2*x*(c*x^2+b*x)^(3/2)*B*d*e^2-21/64*b^3/c^3*x*(c*x^2+b*x)^(1/2)*B*d*e^2+15/32*b^2/c^2*x*(c*x^2+b*x)^(1/2)*B*d^2*e-3/4*b/c*x*(c*x^2+b*x)^(1/2)*A*d^2*e+21/160*B*e^3*b^2/c^3*x*(c*x^2+b*x)^(3/2)+3/5*x^2*(c*x^2+b*x)^(3/2)/c*B*d*e^2+21/256*B*e^3*b^4/c^4*x*(c*x^2+b*x)^(1/2)-3/20*B*e^3*b/c^2*x^2*(c*x^2+b*x)^(3/2)-7/40*b/c^2*x*(c*x^2+b*x)^(3/2)*A*e^3+7/16*b^2/c^3*(c*x^2+b*x)^(3/2)*B*d*e^2-7/64*b^3/c^3*x*(c*x^2+b*x)^(1/2)*A*e^3+3/4*x*(c*x^2+b*x)^(3/2)/c*B*d^2*e+21/256*b^5/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*B*d*e^2-21/128*b^4/c^4*(c*x^2+b*x)^(1/2)*B*d*e^2-5/8*b/c^2*(c*x^2+b*x)^(3/2)*A*d*e^2-5/8*b/c^2*(c*x^2+b*x)^(3/2)*B*d^2*e+15/64*b^3/c^3*(c*x^2+b*x)^(1/2)*A*d*e^2+15/64*b^3/c^3*(c*x^2+b*x)^(1/2)*B*d^2*e-15/128*b^4/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*A*d*e^2-15/128*b^4/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*B*d^2*e+3/4*x*(c*x^2+b*x)^(3/2)/c*A*d*e^2-3/8*b^2/c^2*(c*x^2+b*x)^(1/2)*A*d^2*e+3/16*b^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*A*d^2*e-1/4*b/c*x*(c*x^2+b*x)^(1/2)*B*d^3-1/8*b^2/c^2*(c*x^2+b*x)^(1/2)*B*d^3+1/2*A*d^3*x*(c*x^2+b*x)^(1/2)+1/3*(c*x^2+b*x)^(3/2)/c*B*d^3+1/16*b^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*B*d^3+(c*x^2+b*x)^(3/2)/c*A*d^2*e+7/256*b^5/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*A*e^3+1/6*B*e^3*x^3*(c*x^2+b*x)^(3/2)/c-7/64*B*e^3*b^3/c^4*(c*x^2+b*x)^(3/2)+21/512*B*e^3*b^5/c^5*(c*x^2+b*x)^(1/2)-21/1024*B*e^3*b^6/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+7/48*b^2/c^3*(c*x^2+b*x)^(3/2)*A*e^3+1/4*A*d^3/c*(c*x^2+b*x)^(1/2)*b-7/128*b^4/c^4*(c*x^2+b*x)^(1/2)*A*e^3-1/8*A*d^3*b^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/5*x^2*(c*x^2+b*x)^(3/2)/c*A*e^3","B"
1163,1,671,247,0.059000," ","int((B*x+A)*(e*x+d)^2*(c*x^2+b*x)^(1/2),x)","-\frac{5 A \,b^{4} e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{128 c^{\frac{7}{2}}}+\frac{A \,b^{3} d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{8 c^{\frac{5}{2}}}-\frac{A \,b^{2} d^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{8 c^{\frac{3}{2}}}+\frac{7 B \,b^{5} e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{256 c^{\frac{9}{2}}}-\frac{5 B \,b^{4} d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{64 c^{\frac{7}{2}}}+\frac{B \,b^{3} d^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{16 c^{\frac{5}{2}}}+\frac{5 \sqrt{c \,x^{2}+b x}\, A \,b^{2} e^{2} x}{32 c^{2}}-\frac{\sqrt{c \,x^{2}+b x}\, A b d e x}{2 c}+\frac{\sqrt{c \,x^{2}+b x}\, A \,d^{2} x}{2}-\frac{7 \sqrt{c \,x^{2}+b x}\, B \,b^{3} e^{2} x}{64 c^{3}}+\frac{5 \sqrt{c \,x^{2}+b x}\, B \,b^{2} d e x}{16 c^{2}}-\frac{\sqrt{c \,x^{2}+b x}\, B b \,d^{2} x}{4 c}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,e^{2} x^{2}}{5 c}+\frac{5 \sqrt{c \,x^{2}+b x}\, A \,b^{3} e^{2}}{64 c^{3}}-\frac{\sqrt{c \,x^{2}+b x}\, A \,b^{2} d e}{4 c^{2}}+\frac{\sqrt{c \,x^{2}+b x}\, A b \,d^{2}}{4 c}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,e^{2} x}{4 c}-\frac{7 \sqrt{c \,x^{2}+b x}\, B \,b^{4} e^{2}}{128 c^{4}}+\frac{5 \sqrt{c \,x^{2}+b x}\, B \,b^{3} d e}{32 c^{3}}-\frac{\sqrt{c \,x^{2}+b x}\, B \,b^{2} d^{2}}{8 c^{2}}-\frac{7 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B b \,e^{2} x}{40 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B d e x}{2 c}-\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A b \,e^{2}}{24 c^{2}}+\frac{2 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A d e}{3 c}+\frac{7 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{2} e^{2}}{48 c^{3}}-\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B b d e}{12 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,d^{2}}{3 c}"," ",0,"-5/24*b/c^2*(c*x^2+b*x)^(3/2)*A*e^2+5/64*b^3/c^3*(c*x^2+b*x)^(1/2)*A*e^2-5/128*b^4/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*A*e^2+7/256*B*e^2*b^5/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+7/48*B*e^2*b^2/c^3*(c*x^2+b*x)^(3/2)-7/128*B*e^2*b^4/c^4*(c*x^2+b*x)^(1/2)+1/5*B*e^2*x^2*(c*x^2+b*x)^(3/2)/c-7/40*B*e^2*b/c^2*x*(c*x^2+b*x)^(3/2)-7/64*B*e^2*b^3/c^3*x*(c*x^2+b*x)^(1/2)+5/16*b^2/c^2*x*(c*x^2+b*x)^(1/2)*B*d*e-1/2*b/c*x*(c*x^2+b*x)^(1/2)*A*d*e-5/12*b/c^2*(c*x^2+b*x)^(3/2)*B*d*e+5/32*b^2/c^2*x*(c*x^2+b*x)^(1/2)*A*e^2+5/32*b^3/c^3*(c*x^2+b*x)^(1/2)*B*d*e+1/2*x*(c*x^2+b*x)^(3/2)/c*B*d*e-5/64*b^4/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*B*d*e+1/8*b^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*A*d*e-1/4*b^2/c^2*(c*x^2+b*x)^(1/2)*A*d*e-1/4*b/c*x*(c*x^2+b*x)^(1/2)*B*d^2+1/4*x*(c*x^2+b*x)^(3/2)/c*A*e^2+1/16*b^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*B*d^2-1/8*b^2/c^2*(c*x^2+b*x)^(1/2)*B*d^2+2/3*(c*x^2+b*x)^(3/2)/c*A*d*e+1/4*A*d^2/c*(c*x^2+b*x)^(1/2)*b-1/8*A*d^2*b^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/3*(c*x^2+b*x)^(3/2)/c*B*d^2+1/2*A*d^2*x*(c*x^2+b*x)^(1/2)","B"
1164,1,372,138,0.050000," ","int((B*x+A)*(e*x+d)*(c*x^2+b*x)^(1/2),x)","\frac{A \,b^{3} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{16 c^{\frac{5}{2}}}-\frac{A \,b^{2} d \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{8 c^{\frac{3}{2}}}-\frac{5 B \,b^{4} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{128 c^{\frac{7}{2}}}+\frac{B \,b^{3} d \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{16 c^{\frac{5}{2}}}-\frac{\sqrt{c \,x^{2}+b x}\, A b e x}{4 c}+\frac{\sqrt{c \,x^{2}+b x}\, A d x}{2}+\frac{5 \sqrt{c \,x^{2}+b x}\, B \,b^{2} e x}{32 c^{2}}-\frac{\sqrt{c \,x^{2}+b x}\, B b d x}{4 c}-\frac{\sqrt{c \,x^{2}+b x}\, A \,b^{2} e}{8 c^{2}}+\frac{\sqrt{c \,x^{2}+b x}\, A b d}{4 c}+\frac{5 \sqrt{c \,x^{2}+b x}\, B \,b^{3} e}{64 c^{3}}-\frac{\sqrt{c \,x^{2}+b x}\, B \,b^{2} d}{8 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B e x}{4 c}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} A e}{3 c}-\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B b e}{24 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B d}{3 c}"," ",0,"1/4*B*e*x*(c*x^2+b*x)^(3/2)/c-5/24*B*e*b/c^2*(c*x^2+b*x)^(3/2)+5/32*B*e*b^2/c^2*x*(c*x^2+b*x)^(1/2)+5/64*B*e*b^3/c^3*(c*x^2+b*x)^(1/2)-5/128*B*e*b^4/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/3*(c*x^2+b*x)^(3/2)/c*A*e+1/3*(c*x^2+b*x)^(3/2)/c*B*d-1/4*b/c*x*(c*x^2+b*x)^(1/2)*A*e-1/4*b/c*x*(c*x^2+b*x)^(1/2)*B*d-1/8*b^2/c^2*(c*x^2+b*x)^(1/2)*A*e-1/8*b^2/c^2*(c*x^2+b*x)^(1/2)*B*d+1/16*b^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*A*e+1/16*b^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*B*d+1/2*A*d*x*(c*x^2+b*x)^(1/2)+1/4*A*d/c*(c*x^2+b*x)^(1/2)*b-1/8*A*d*b^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","B"
1165,1,157,81,0.047000," ","int((B*x+A)*(c*x^2+b*x)^(1/2),x)","-\frac{A \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{8 c^{\frac{3}{2}}}+\frac{B \,b^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{16 c^{\frac{5}{2}}}+\frac{\sqrt{c \,x^{2}+b x}\, A x}{2}-\frac{\sqrt{c \,x^{2}+b x}\, B b x}{4 c}+\frac{\sqrt{c \,x^{2}+b x}\, A b}{4 c}-\frac{\sqrt{c \,x^{2}+b x}\, B \,b^{2}}{8 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B}{3 c}"," ",0,"1/3*(c*x^2+b*x)^(3/2)*B/c-1/4*B*b/c*x*(c*x^2+b*x)^(1/2)-1/8*B*b^2/c^2*(c*x^2+b*x)^(1/2)+1/16*B*b^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/2*A*x*(c*x^2+b*x)^(1/2)+1/4*A/c*(c*x^2+b*x)^(1/2)*b-1/8*A*b^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","A"
1166,1,1069,176,0.057000," ","int((B*x+A)*(c*x^2+b*x)^(1/2)/(e*x+d),x)","\frac{A b d \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e^{2}}-\frac{A c \,d^{2} \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e^{3}}-\frac{B b \,d^{2} \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e^{3}}+\frac{B c \,d^{3} \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e^{4}}+\frac{A b \ln \left(\frac{\left(x +\frac{d}{e}\right) c +\frac{b e -2 c d}{2 e}}{\sqrt{c}}+\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\right)}{2 \sqrt{c}\, e}-\frac{A \sqrt{c}\, d \ln \left(\frac{\left(x +\frac{d}{e}\right) c +\frac{b e -2 c d}{2 e}}{\sqrt{c}}+\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\right)}{e^{2}}-\frac{B \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{8 c^{\frac{3}{2}} e}-\frac{B b d \ln \left(\frac{\left(x +\frac{d}{e}\right) c +\frac{b e -2 c d}{2 e}}{\sqrt{c}}+\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\right)}{2 \sqrt{c}\, e^{2}}+\frac{B \sqrt{c}\, d^{2} \ln \left(\frac{\left(x +\frac{d}{e}\right) c +\frac{b e -2 c d}{2 e}}{\sqrt{c}}+\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\right)}{e^{3}}+\frac{\sqrt{c \,x^{2}+b x}\, B x}{2 e}+\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, A}{e}+\frac{\sqrt{c \,x^{2}+b x}\, B b}{4 c e}-\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, B d}{e^{2}}"," ",0,"1/2*B/e*(c*x^2+b*x)^(1/2)*x+1/4*B/e/c*(c*x^2+b*x)^(1/2)*b-1/8*B/e*b^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/e*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*A-1/e^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*B*d+1/2/e*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/c^(1/2)*b*A-1/2/e^2*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/c^(1/2)*b*B*d-1/e^2*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(1/2)*d*A+1/e^3*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(1/2)*d^2*B+1/e^2*d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*A-1/e^3*d^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*B-1/e^3*d^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c*A+1/e^4*d^3/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c*B","B"
1167,1,2285,163,0.059000," ","int((B*x+A)*(c*x^2+b*x)^(1/2)/(e*x+d)^2,x)","-\frac{A \,b^{2} \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{2 \left(b e -c d \right) \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e}+\frac{3 A b c d \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{2 \left(b e -c d \right) \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e^{2}}-\frac{A \,c^{2} d^{2} \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\left(b e -c d \right) \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e^{3}}+\frac{B \,b^{2} d \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{2 \left(b e -c d \right) \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e^{2}}-\frac{3 B b c \,d^{2} \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{2 \left(b e -c d \right) \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e^{3}}+\frac{B \,c^{2} d^{3} \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\left(b e -c d \right) \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e^{4}}+\frac{A b \sqrt{c}\, \ln \left(\frac{\left(x +\frac{d}{e}\right) c +\frac{b e -2 c d}{2 e}}{\sqrt{c}}+\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\right)}{\left(b e -c d \right) e}-\frac{A \,c^{\frac{3}{2}} d \ln \left(\frac{\left(x +\frac{d}{e}\right) c +\frac{b e -2 c d}{2 e}}{\sqrt{c}}+\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\right)}{\left(b e -c d \right) e^{2}}-\frac{B b \sqrt{c}\, d \ln \left(\frac{\left(x +\frac{d}{e}\right) c +\frac{b e -2 c d}{2 e}}{\sqrt{c}}+\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\right)}{\left(b e -c d \right) e^{2}}+\frac{B \,c^{\frac{3}{2}} d^{2} \ln \left(\frac{\left(x +\frac{d}{e}\right) c +\frac{b e -2 c d}{2 e}}{\sqrt{c}}+\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\right)}{\left(b e -c d \right) e^{3}}-\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, A c x}{\left(b e -c d \right) d}+\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, B c x}{\left(b e -c d \right) e}-\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, A b}{\left(b e -c d \right) d}+\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, A c}{\left(b e -c d \right) e}+\frac{B b d \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e^{3}}+\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, B b}{\left(b e -c d \right) e}-\frac{B c \,d^{2} \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e^{4}}-\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, B c d}{\left(b e -c d \right) e^{2}}+\frac{B b \ln \left(\frac{\left(x +\frac{d}{e}\right) c +\frac{b e -2 c d}{2 e}}{\sqrt{c}}+\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\right)}{2 \sqrt{c}\, e^{2}}-\frac{B \sqrt{c}\, d \ln \left(\frac{\left(x +\frac{d}{e}\right) c +\frac{b e -2 c d}{2 e}}{\sqrt{c}}+\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\right)}{e^{3}}+\frac{\left(\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}\right)^{\frac{3}{2}} A}{\left(b e -c d \right) \left(x +\frac{d}{e}\right) d}-\frac{\left(\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}\right)^{\frac{3}{2}} B}{\left(b e -c d \right) \left(x +\frac{d}{e}\right) e}+\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, B}{e^{2}}"," ",0,"1/(b*e-c*d)/d/(x+d/e)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*A-1/e/(b*e-c*d)/(x+d/e)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*B-1/(b*e-c*d)/d*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b*A+1/e/(b*e-c*d)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b*B+1/e/(b*e-c*d)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c*A-1/e^2/(b*e-c*d)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c*B*d+1/e/(b*e-c*d)*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(1/2)*b*A-1/e^2/(b*e-c*d)*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(1/2)*b*B*d-1/e^2/(b*e-c*d)*d*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(3/2)*A+1/e^3/(b*e-c*d)*d^2*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(3/2)*B-1/2/e/(b*e-c*d)/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^2*A+1/2/e^2/(b*e-c*d)/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^2*B*d+3/2/e^2/(b*e-c*d)*d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*c*A-3/2/e^3/(b*e-c*d)*d^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*c*B-1/e^3/(b*e-c*d)*d^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c^2*A+1/e^4/(b*e-c*d)*d^3/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c^2*B-c/(b*e-c*d)/d*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*A+1/e*c/(b*e-c*d)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*B+B/e^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)+1/2*B/e^2*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/c^(1/2)*b-B/e^3*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(1/2)*d+B/e^3*d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b-B/e^4*d^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c","B"
1168,1,4316,211,0.066000," ","int((B*x+A)*(c*x^2+b*x)^(1/2)/(e*x+d)^3,x)","\text{output too large to display}"," ",0,"-1/4/e*c^(1/2)/(b*e-c*d)/d*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*b*A-3/2*B/e^4/(b*e-c*d)*d^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c^2-1/2/e^4/(b*e-c*d)^2*d^3/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c^3*B-1/2/e^2*c/(b*e-c*d)/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*A+1/2/e^3*c^2/(b*e-c*d)*d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*A+1/4*e/(b*e-c*d)^2/d^2/(x+d/e)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*b*A+3/4/e^2/(b*e-c*d)^2*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(3/2)*b*B*d+5/8/e/(b*e-c*d)^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^2*c*A+3/4/(b*e-c*d)^2/d*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b*c*A+1/2/(b*e-c*d)^2/d*c^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*A+1/4/(b*e-c*d)^2/d*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(1/2)*b^2*A+1/e^3/(b*e-c*d)^2*d^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*c^2*B-5/8/e^2/(b*e-c*d)^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^2*c*B*d+2*B/e^3/(b*e-c*d)*d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*c-1/4*e/(b*e-c*d)^2/d^2*c*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*b*A-1/e^2/(b*e-c*d)^2*d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*c^2*A-1/4/(b*e-c*d)^2/d/(x+d/e)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*b*B-1/2/(b*e-c*d)^2/d/(x+d/e)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*c*A-1/8/(b*e-c*d)^2/d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^3*A+1/2/e/(b*e-c*d)/d/(x+d/e)^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*A-1/4*e/(b*e-c*d)^2/d^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b^2*A+1/2/e^2/(b*e-c*d)^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c^2*B*d+1/2/e^2/(b*e-c*d)^2*d*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(5/2)*A-1/2/e^3/(b*e-c*d)^2*d^2*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(5/2)*B-1/2/e*c/(b*e-c*d)/d*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*A-3/4/e/(b*e-c*d)^2*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(3/2)*b*A-3/2*B/e^3/(b*e-c*d)*d*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(3/2)-1/2*B/e^2/(b*e-c*d)/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^2+1/8/e/(b*e-c*d)^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^3*B-3/4/e/(b*e-c*d)^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b*c*B-1/2/e/(b*e-c*d)^2*c^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*B-1/4/e/(b*e-c*d)^2*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(1/2)*b^2*B-B/e/(b*e-c*d)/d*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b+5/4*B/e^2/(b*e-c*d)*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(1/2)*b+B/e/(b*e-c*d)/d/(x+d/e)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)+1/2/e/(b*e-c*d)^2/(x+d/e)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*c*B-1/2/e^2/(b*e-c*d)/(x+d/e)^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*B-1/2/e/(b*e-c*d)^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c^2*A-B/e*c/(b*e-c*d)/d*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x+1/2/e^3/(b*e-c*d)^2*d^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c^3*A+1/4/(b*e-c*d)^2/d*c*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*b*B+1/2/e^2*c^(3/2)/(b*e-c*d)*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*A+1/4/(b*e-c*d)^2/d*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b^2*B+3/2*B/e^2/(b*e-c*d)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c","B"
1169,1,6956,178,0.066000," ","int((B*x+A)*(c*x^2+b*x)^(1/2)/(e*x+d)^4,x)","\text{output too large to display}"," ",0,"result too large to display","B"
1170,1,10550,284,0.099000," ","int((B*x+A)*(c*x^2+b*x)^(1/2)/(e*x+d)^5,x)","\text{output too large to display}"," ",0,"result too large to display","B"
1171,1,15015,419,0.089000," ","int((B*x+A)*(c*x^2+b*x)^(1/2)/(e*x+d)^6,x)","\text{output too large to display}"," ",0,"result too large to display","B"
1172,1,949,321,0.061000," ","int((B*x+A)*(e*x+d)^2*(c*x^2+b*x)^(3/2),x)","\frac{7 A \,b^{6} e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{1024 c^{\frac{9}{2}}}-\frac{3 A \,b^{5} d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{128 c^{\frac{7}{2}}}+\frac{3 A \,b^{4} d^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{128 c^{\frac{5}{2}}}-\frac{9 B \,b^{7} e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2048 c^{\frac{11}{2}}}+\frac{7 B \,b^{6} d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{512 c^{\frac{9}{2}}}-\frac{3 B \,b^{5} d^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{256 c^{\frac{7}{2}}}-\frac{7 \sqrt{c \,x^{2}+b x}\, A \,b^{4} e^{2} x}{256 c^{3}}+\frac{3 \sqrt{c \,x^{2}+b x}\, A \,b^{3} d e x}{32 c^{2}}-\frac{3 \sqrt{c \,x^{2}+b x}\, A \,b^{2} d^{2} x}{32 c}+\frac{9 \sqrt{c \,x^{2}+b x}\, B \,b^{5} e^{2} x}{512 c^{4}}-\frac{7 \sqrt{c \,x^{2}+b x}\, B \,b^{4} d e x}{128 c^{3}}+\frac{3 \sqrt{c \,x^{2}+b x}\, B \,b^{3} d^{2} x}{64 c^{2}}-\frac{7 \sqrt{c \,x^{2}+b x}\, A \,b^{5} e^{2}}{512 c^{4}}+\frac{3 \sqrt{c \,x^{2}+b x}\, A \,b^{4} d e}{64 c^{3}}-\frac{3 \sqrt{c \,x^{2}+b x}\, A \,b^{3} d^{2}}{64 c^{2}}+\frac{7 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{2} e^{2} x}{96 c^{2}}-\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} A b d e x}{4 c}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,d^{2} x}{4}+\frac{9 \sqrt{c \,x^{2}+b x}\, B \,b^{6} e^{2}}{1024 c^{5}}-\frac{7 \sqrt{c \,x^{2}+b x}\, B \,b^{5} d e}{256 c^{4}}+\frac{3 \sqrt{c \,x^{2}+b x}\, B \,b^{4} d^{2}}{128 c^{3}}-\frac{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{3} e^{2} x}{64 c^{3}}+\frac{7 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{2} d e x}{48 c^{2}}-\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B b \,d^{2} x}{8 c}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,e^{2} x^{2}}{7 c}+\frac{7 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{3} e^{2}}{192 c^{3}}-\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{2} d e}{8 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} A b \,d^{2}}{8 c}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} A \,e^{2} x}{6 c}-\frac{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{4} e^{2}}{128 c^{4}}+\frac{7 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{3} d e}{96 c^{3}}-\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{2} d^{2}}{16 c^{2}}-\frac{3 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B b \,e^{2} x}{28 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} B d e x}{3 c}-\frac{7 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} A b \,e^{2}}{60 c^{2}}+\frac{2 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} A d e}{5 c}+\frac{3 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,b^{2} e^{2}}{40 c^{3}}-\frac{7 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B b d e}{30 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,d^{2}}{5 c}"," ",0,"-3/128*b^5/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*A*d*e-3/32*A*d^2*b^2/c*(c*x^2+b*x)^(1/2)*x+7/512*b^6/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*B*d*e+1/5*(c*x^2+b*x)^(5/2)/c*B*d^2+1/4*A*d^2*x*(c*x^2+b*x)^(3/2)-9/2048*B*e^2*b^7/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+9/1024*B*e^2*b^6/c^5*(c*x^2+b*x)^(1/2)-3/256*b^5/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*B*d^2+7/1024*b^6/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*A*e^2-7/60*b/c^2*(c*x^2+b*x)^(5/2)*A*e^2+7/192*b^3/c^3*(c*x^2+b*x)^(3/2)*A*e^2-7/512*b^5/c^4*(c*x^2+b*x)^(1/2)*A*e^2+3/128*A*d^2*b^4/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+7/48*b^2/c^2*x*(c*x^2+b*x)^(3/2)*B*d*e-7/128*b^4/c^3*(c*x^2+b*x)^(1/2)*x*B*d*e-1/4*b/c*x*(c*x^2+b*x)^(3/2)*A*d*e+2/5*(c*x^2+b*x)^(5/2)/c*A*d*e+3/128*b^4/c^3*(c*x^2+b*x)^(1/2)*B*d^2+1/7*B*e^2*x^2*(c*x^2+b*x)^(5/2)/c+3/32*b^3/c^2*(c*x^2+b*x)^(1/2)*x*A*d*e-3/128*B*e^2*b^4/c^4*(c*x^2+b*x)^(3/2)+3/40*B*e^2*b^2/c^3*(c*x^2+b*x)^(5/2)+1/8*A*d^2/c*(c*x^2+b*x)^(3/2)*b+1/6*x*(c*x^2+b*x)^(5/2)/c*A*e^2-1/16*b^2/c^2*(c*x^2+b*x)^(3/2)*B*d^2-3/64*A*d^2*b^3/c^2*(c*x^2+b*x)^(1/2)+3/64*b^3/c^2*(c*x^2+b*x)^(1/2)*x*B*d^2+3/64*b^4/c^3*(c*x^2+b*x)^(1/2)*A*d*e-3/64*B*e^2*b^3/c^3*x*(c*x^2+b*x)^(3/2)-1/8*b/c*x*(c*x^2+b*x)^(3/2)*B*d^2-1/8*b^2/c^2*(c*x^2+b*x)^(3/2)*A*d*e-7/256*b^5/c^4*(c*x^2+b*x)^(1/2)*B*d*e+7/96*b^3/c^3*(c*x^2+b*x)^(3/2)*B*d*e+1/3*x*(c*x^2+b*x)^(5/2)/c*B*d*e-7/30*b/c^2*(c*x^2+b*x)^(5/2)*B*d*e+7/96*b^2/c^2*x*(c*x^2+b*x)^(3/2)*A*e^2+9/512*B*e^2*b^5/c^4*(c*x^2+b*x)^(1/2)*x-3/28*B*e^2*b/c^2*x*(c*x^2+b*x)^(5/2)-7/256*b^4/c^3*(c*x^2+b*x)^(1/2)*x*A*e^2","B"
1173,1,544,189,0.056000," ","int((B*x+A)*(e*x+d)*(c*x^2+b*x)^(3/2),x)","-\frac{3 A \,b^{5} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{256 c^{\frac{7}{2}}}+\frac{3 A \,b^{4} d \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{128 c^{\frac{5}{2}}}+\frac{7 B \,b^{6} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{1024 c^{\frac{9}{2}}}-\frac{3 B \,b^{5} d \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{256 c^{\frac{7}{2}}}+\frac{3 \sqrt{c \,x^{2}+b x}\, A \,b^{3} e x}{64 c^{2}}-\frac{3 \sqrt{c \,x^{2}+b x}\, A \,b^{2} d x}{32 c}-\frac{7 \sqrt{c \,x^{2}+b x}\, B \,b^{4} e x}{256 c^{3}}+\frac{3 \sqrt{c \,x^{2}+b x}\, B \,b^{3} d x}{64 c^{2}}+\frac{3 \sqrt{c \,x^{2}+b x}\, A \,b^{4} e}{128 c^{3}}-\frac{3 \sqrt{c \,x^{2}+b x}\, A \,b^{3} d}{64 c^{2}}-\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} A b e x}{8 c}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} A d x}{4}-\frac{7 \sqrt{c \,x^{2}+b x}\, B \,b^{5} e}{512 c^{4}}+\frac{3 \sqrt{c \,x^{2}+b x}\, B \,b^{4} d}{128 c^{3}}+\frac{7 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{2} e x}{96 c^{2}}-\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B b d x}{8 c}-\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{2} e}{16 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} A b d}{8 c}+\frac{7 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{3} e}{192 c^{3}}-\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{2} d}{16 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} B e x}{6 c}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} A e}{5 c}-\frac{7 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B b e}{60 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} B d}{5 c}"," ",0,"1/6*B*e*x*(c*x^2+b*x)^(5/2)/c-7/60*B*e*b/c^2*(c*x^2+b*x)^(5/2)+7/96*B*e*b^2/c^2*x*(c*x^2+b*x)^(3/2)+7/192*B*e*b^3/c^3*(c*x^2+b*x)^(3/2)-7/256*B*e*b^4/c^3*(c*x^2+b*x)^(1/2)*x-7/512*B*e*b^5/c^4*(c*x^2+b*x)^(1/2)+7/1024*B*e*b^6/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/5*(c*x^2+b*x)^(5/2)/c*A*e+1/5*(c*x^2+b*x)^(5/2)/c*B*d-1/8*b/c*x*(c*x^2+b*x)^(3/2)*A*e-1/8*b/c*x*(c*x^2+b*x)^(3/2)*B*d-1/16*b^2/c^2*(c*x^2+b*x)^(3/2)*A*e-1/16*b^2/c^2*(c*x^2+b*x)^(3/2)*B*d+3/64*b^3/c^2*(c*x^2+b*x)^(1/2)*x*A*e+3/64*b^3/c^2*(c*x^2+b*x)^(1/2)*x*B*d+3/128*b^4/c^3*(c*x^2+b*x)^(1/2)*A*e+3/128*b^4/c^3*(c*x^2+b*x)^(1/2)*B*d-3/256*b^5/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*A*e-3/256*b^5/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*B*d+1/4*A*d*x*(c*x^2+b*x)^(3/2)+1/8*A*d/c*(c*x^2+b*x)^(3/2)*b-3/32*A*d*b^2/c*(c*x^2+b*x)^(1/2)*x-3/64*A*d*b^3/c^2*(c*x^2+b*x)^(1/2)+3/128*A*d*b^4/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","B"
1174,1,239,114,0.048000," ","int((B*x+A)*(c*x^2+b*x)^(3/2),x)","\frac{3 A \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{128 c^{\frac{5}{2}}}-\frac{3 B \,b^{5} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{256 c^{\frac{7}{2}}}-\frac{3 \sqrt{c \,x^{2}+b x}\, A \,b^{2} x}{32 c}+\frac{3 \sqrt{c \,x^{2}+b x}\, B \,b^{3} x}{64 c^{2}}-\frac{3 \sqrt{c \,x^{2}+b x}\, A \,b^{3}}{64 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} A x}{4}+\frac{3 \sqrt{c \,x^{2}+b x}\, B \,b^{4}}{128 c^{3}}-\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B b x}{8 c}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} A b}{8 c}-\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{2}}{16 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} B}{5 c}"," ",0,"1/5*(c*x^2+b*x)^(5/2)*B/c-1/8*B*b/c*x*(c*x^2+b*x)^(3/2)-1/16*B*b^2/c^2*(c*x^2+b*x)^(3/2)+3/64*B*b^3/c^2*(c*x^2+b*x)^(1/2)*x+3/128*B*b^4/c^3*(c*x^2+b*x)^(1/2)-3/256*B*b^5/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/4*A*x*(c*x^2+b*x)^(3/2)+1/8*A/c*(c*x^2+b*x)^(3/2)*b-3/32*A*b^2/c*(c*x^2+b*x)^(1/2)*x-3/64*A*b^3/c^2*(c*x^2+b*x)^(1/2)+3/128*A*b^4/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","B"
1175,1,2334,364,0.051000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/(e*x+d),x)","-\frac{A \,b^{2} d^{2} \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e^{3}}+\frac{2 A b c \,d^{3} \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e^{4}}-\frac{A \,c^{2} d^{4} \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e^{5}}+\frac{B \,b^{2} d^{3} \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e^{4}}-\frac{2 B b c \,d^{4} \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e^{5}}+\frac{B \,c^{2} d^{5} \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e^{6}}-\frac{A \,b^{3} \ln \left(\frac{\left(x +\frac{d}{e}\right) c +\frac{b e -2 c d}{2 e}}{\sqrt{c}}+\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\right)}{16 c^{\frac{3}{2}} e}-\frac{3 A \,b^{2} d \ln \left(\frac{\left(x +\frac{d}{e}\right) c +\frac{b e -2 c d}{2 e}}{\sqrt{c}}+\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\right)}{8 \sqrt{c}\, e^{2}}+\frac{3 A b \sqrt{c}\, d^{2} \ln \left(\frac{\left(x +\frac{d}{e}\right) c +\frac{b e -2 c d}{2 e}}{\sqrt{c}}+\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\right)}{2 e^{3}}-\frac{A \,c^{\frac{3}{2}} d^{3} \ln \left(\frac{\left(x +\frac{d}{e}\right) c +\frac{b e -2 c d}{2 e}}{\sqrt{c}}+\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\right)}{e^{4}}+\frac{3 B \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{128 c^{\frac{5}{2}} e}+\frac{B \,b^{3} d \ln \left(\frac{\left(x +\frac{d}{e}\right) c +\frac{b e -2 c d}{2 e}}{\sqrt{c}}+\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\right)}{16 c^{\frac{3}{2}} e^{2}}+\frac{3 B \,b^{2} d^{2} \ln \left(\frac{\left(x +\frac{d}{e}\right) c +\frac{b e -2 c d}{2 e}}{\sqrt{c}}+\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\right)}{8 \sqrt{c}\, e^{3}}-\frac{3 B b \sqrt{c}\, d^{3} \ln \left(\frac{\left(x +\frac{d}{e}\right) c +\frac{b e -2 c d}{2 e}}{\sqrt{c}}+\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\right)}{2 e^{4}}+\frac{B \,c^{\frac{3}{2}} d^{4} \ln \left(\frac{\left(x +\frac{d}{e}\right) c +\frac{b e -2 c d}{2 e}}{\sqrt{c}}+\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\right)}{e^{5}}+\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, A b x}{4 e}-\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, A c d x}{2 e^{2}}-\frac{3 \sqrt{c \,x^{2}+b x}\, B \,b^{2} x}{32 c e}-\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, B b d x}{4 e^{2}}+\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, B c \,d^{2} x}{2 e^{3}}+\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, A \,b^{2}}{8 c e}-\frac{5 \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, A b d}{4 e^{2}}+\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, A c \,d^{2}}{e^{3}}-\frac{3 \sqrt{c \,x^{2}+b x}\, B \,b^{3}}{64 c^{2} e}-\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, B \,b^{2} d}{8 c \,e^{2}}+\frac{5 \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, B b \,d^{2}}{4 e^{3}}-\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, B c \,d^{3}}{e^{4}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B x}{4 e}+\frac{\left(\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}\right)^{\frac{3}{2}} A}{3 e}+\frac{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} B b}{8 c e}-\frac{\left(\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}\right)^{\frac{3}{2}} B d}{3 e^{2}}"," ",0,"-3/8/e^2*d*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/c^(1/2)*b^2*A+1/2/e^3*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c*d^2*B-1/e^5*d^4/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c^2*A-1/2/e^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c*d*A-1/4/e^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*b*B*d+1/16/e^2/c^(3/2)*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*b^3*B*d-1/e^3*d^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^2*A+3/8/e^3*d^2*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/c^(1/2)*b^2*B-1/8/e^2/c*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b^2*B*d+3/2/e^3*d^2*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(1/2)*b*A+2/e^4*d^3/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*c*A-2/e^5*d^4/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*c*B+1/3/e*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*A-1/3/e^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*B*d+1/4*B/e*(c*x^2+b*x)^(3/2)*x-3/32*B/e*b^2/c*(c*x^2+b*x)^(1/2)*x-3/2/e^4*d^3*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(1/2)*b*B+3/128*B/e*b^4/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/8*B/e/c*(c*x^2+b*x)^(3/2)*b+1/e^4*d^3/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^2*B+1/e^6*d^5/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c^2*B-3/64*B/e*b^3/c^2*(c*x^2+b*x)^(1/2)+1/e^3*d^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c*A-1/e^4*d^3*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c*B-1/e^4*d^3*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(3/2)*A+1/4/e*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*b*A+1/e^5*d^4*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(3/2)*B-1/16/e/c^(3/2)*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*b^3*A+1/8/e/c*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b^2*A-5/4/e^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b*d*A+5/4/e^3*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b*d^2*B","B"
1176,1,4283,293,0.064000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/(e*x+d)^2,x)","\text{output too large to display}"," ",0,"1/e/(b*e-c*d)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*c*A+1/4*B/e^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*b+2*B/e^5*d^3/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*c-6/e^4/(b*e-c*d)*d^3*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(3/2)*b*B-3/2/e^3/(b*e-c*d)*d^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^3*B-3/2/e^2/(b*e-c*d)*d*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c^2*A+6/e^3/(b*e-c*d)*d^2*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(3/2)*b*A-1/e^2/(b*e-c*d)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*c*B*d+3/8/e/(b*e-c*d)*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/c^(1/2)*b^3*A-3/e^4/(b*e-c*d)*d^3*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(5/2)*A+1/e*c/(b*e-c*d)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*x*B-c/(b*e-c*d)/d*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*x*A+9/4/e/(b*e-c*d)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b^2*A-1/e/(b*e-c*d)/(x+d/e)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(5/2)*B-1/(b*e-c*d)/d*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*b*A+1/8*B/e^2/c*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b^2-3/2/e^2/(b*e-c*d)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*b*c*B*d-6/e^3/(b*e-c*d)*d^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^2*c*A+6/e^4/(b*e-c*d)*d^3/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^2*c*B+15/2/e^4/(b*e-c*d)*d^3/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*c^2*A-15/2/e^5/(b*e-c*d)*d^4/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*c^2*B+1/3*B/e^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)-1/2*B/e^3*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c*d-3/8*B/e^3*d*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/c^(1/2)*b^2+3/2*B/e^4*d^2*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(1/2)*b+3/e^5/(b*e-c*d)*d^4*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(5/2)*B-9/4/e^2/(b*e-c*d)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b^2*B*d+3/e^3/(b*e-c*d)*d^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c^2*A-3/e^4/(b*e-c*d)*d^3*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c^2*B+3/2/e^3/(b*e-c*d)*d^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c^2*B+21/4/e^3/(b*e-c*d)*d^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b*c*B-3/e^5/(b*e-c*d)*d^4/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c^3*A+27/8/e^3/(b*e-c*d)*d^2*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(1/2)*b^2*B+3/2/e/(b*e-c*d)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*b*c*A-3/8/e^2/(b*e-c*d)*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/c^(1/2)*b^3*B*d-27/8/e^2/(b*e-c*d)*d*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(1/2)*b^2*A-21/4/e^2/(b*e-c*d)*d*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b*c*A+3/2/e^2/(b*e-c*d)*d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^3*A+3/e^6/(b*e-c*d)*d^5/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c^3*B-5/4*B/e^3*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b*d-1/16*B/e^2/c^(3/2)*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*b^3+B/e^4*d^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c-B/e^5*d^3*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(3/2)+1/e/(b*e-c*d)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*b*B+1/(b*e-c*d)/d/(x+d/e)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(5/2)*A-B/e^4*d^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^2-B/e^6*d^4/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c^2","B"
1177,1,7365,284,0.064000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/(e*x+d)^3,x)","\text{output too large to display}"," ",0,"result too large to display","B"
1178,1,11396,398,0.071000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/(e*x+d)^4,x)","\text{output too large to display}"," ",0,"result too large to display","B"
1179,1,16396,393,0.077000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/(e*x+d)^5,x)","\text{output too large to display}"," ",0,"result too large to display","B"
1180,1,22107,243,0.092000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/(e*x+d)^6,x)","\text{output too large to display}"," ",0,"result too large to display","B"
1181,1,29243,372,0.096000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/(e*x+d)^7,x)","\text{output too large to display}"," ",0,"result too large to display","B"
1182,1,37630,531,0.406000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/(e*x+d)^8,x)","\text{output too large to display}"," ",0,"result too large to display","B"
1183,1,1227,395,0.076000," ","int((B*x+A)*(e*x+d)^2*(c*x^2+b*x)^(5/2),x)","-\frac{45 A \,b^{8} e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{32768 c^{\frac{11}{2}}}+\frac{5 A \,b^{7} d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{1024 c^{\frac{9}{2}}}-\frac{5 A \,b^{6} d^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{1024 c^{\frac{7}{2}}}+\frac{55 B \,b^{9} e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{65536 c^{\frac{13}{2}}}-\frac{45 B \,b^{8} d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{16384 c^{\frac{11}{2}}}+\frac{5 B \,b^{7} d^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2048 c^{\frac{9}{2}}}+\frac{45 \sqrt{c \,x^{2}+b x}\, A \,b^{6} e^{2} x}{8192 c^{4}}-\frac{5 \sqrt{c \,x^{2}+b x}\, A \,b^{5} d e x}{256 c^{3}}+\frac{5 \sqrt{c \,x^{2}+b x}\, A \,b^{4} d^{2} x}{256 c^{2}}-\frac{55 \sqrt{c \,x^{2}+b x}\, B \,b^{7} e^{2} x}{16384 c^{5}}+\frac{45 \sqrt{c \,x^{2}+b x}\, B \,b^{6} d e x}{4096 c^{4}}-\frac{5 \sqrt{c \,x^{2}+b x}\, B \,b^{5} d^{2} x}{512 c^{3}}+\frac{45 \sqrt{c \,x^{2}+b x}\, A \,b^{7} e^{2}}{16384 c^{5}}-\frac{5 \sqrt{c \,x^{2}+b x}\, A \,b^{6} d e}{512 c^{4}}+\frac{5 \sqrt{c \,x^{2}+b x}\, A \,b^{5} d^{2}}{512 c^{3}}-\frac{15 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{4} e^{2} x}{1024 c^{3}}+\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{3} d e x}{96 c^{2}}-\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{2} d^{2} x}{96 c}-\frac{55 \sqrt{c \,x^{2}+b x}\, B \,b^{8} e^{2}}{32768 c^{6}}+\frac{45 \sqrt{c \,x^{2}+b x}\, B \,b^{7} d e}{8192 c^{5}}-\frac{5 \sqrt{c \,x^{2}+b x}\, B \,b^{6} d^{2}}{1024 c^{4}}+\frac{55 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{5} e^{2} x}{6144 c^{4}}-\frac{15 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{4} d e x}{512 c^{3}}+\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{3} d^{2} x}{192 c^{2}}-\frac{15 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{5} e^{2}}{2048 c^{4}}+\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{4} d e}{192 c^{3}}-\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{3} d^{2}}{192 c^{2}}+\frac{3 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} A \,b^{2} e^{2} x}{64 c^{2}}-\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} A b d e x}{6 c}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} A \,d^{2} x}{6}+\frac{55 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{6} e^{2}}{12288 c^{5}}-\frac{15 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{5} d e}{1024 c^{4}}+\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{4} d^{2}}{384 c^{3}}-\frac{11 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,b^{3} e^{2} x}{384 c^{3}}+\frac{3 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,b^{2} d e x}{32 c^{2}}-\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} B b \,d^{2} x}{12 c}+\frac{\left(c \,x^{2}+b x \right)^{\frac{7}{2}} B \,e^{2} x^{2}}{9 c}+\frac{3 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} A \,b^{3} e^{2}}{128 c^{3}}-\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} A \,b^{2} d e}{12 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} A b \,d^{2}}{12 c}+\frac{\left(c \,x^{2}+b x \right)^{\frac{7}{2}} A \,e^{2} x}{8 c}-\frac{11 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,b^{4} e^{2}}{768 c^{4}}+\frac{3 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,b^{3} d e}{64 c^{3}}-\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,b^{2} d^{2}}{24 c^{2}}-\frac{11 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} B b \,e^{2} x}{144 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{7}{2}} B d e x}{4 c}-\frac{9 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} A b \,e^{2}}{112 c^{2}}+\frac{2 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} A d e}{7 c}+\frac{11 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} B \,b^{2} e^{2}}{224 c^{3}}-\frac{9 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} B b d e}{56 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{7}{2}} B \,d^{2}}{7 c}"," ",0,"-45/16384*b^8/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*B*d*e+45/8192*b^6/c^4*(c*x^2+b*x)^(1/2)*x*A*e^2+45/8192*b^7/c^5*(c*x^2+b*x)^(1/2)*B*d*e-15/1024*b^5/c^4*(c*x^2+b*x)^(3/2)*B*d*e+5/96*b^3/c^2*(c*x^2+b*x)^(3/2)*x*A*d*e+3/32*b^2/c^2*x*(c*x^2+b*x)^(5/2)*B*d*e-9/56*b/c^2*(c*x^2+b*x)^(7/2)*B*d*e+3/64*b^2/c^2*x*(c*x^2+b*x)^(5/2)*A*e^2+1/4*x*(c*x^2+b*x)^(7/2)/c*B*d*e+1/6*A*d^2*x*(c*x^2+b*x)^(5/2)+1/7*(c*x^2+b*x)^(7/2)/c*B*d^2-1/12*b/c*x*(c*x^2+b*x)^(5/2)*B*d^2-1/12*b^2/c^2*(c*x^2+b*x)^(5/2)*A*d*e+5/192*b^3/c^2*(c*x^2+b*x)^(3/2)*x*B*d^2+5/192*b^4/c^3*(c*x^2+b*x)^(3/2)*A*d*e-5/512*b^5/c^3*(c*x^2+b*x)^(1/2)*x*B*d^2-5/512*b^6/c^4*(c*x^2+b*x)^(1/2)*A*d*e+5/1024*b^7/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*A*d*e-5/96*A*d^2*b^2/c*(c*x^2+b*x)^(3/2)*x+5/256*A*d^2*b^4/c^2*(c*x^2+b*x)^(1/2)*x+55/65536*B*e^2*b^9/c^(13/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+3/128*b^3/c^3*(c*x^2+b*x)^(5/2)*A*e^2-15/2048*b^5/c^4*(c*x^2+b*x)^(3/2)*A*e^2+1/8*x*(c*x^2+b*x)^(7/2)/c*A*e^2-9/112*b/c^2*(c*x^2+b*x)^(7/2)*A*e^2+5/2048*b^7/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*B*d^2-11/384*B*e^2*b^3/c^3*x*(c*x^2+b*x)^(5/2)+55/6144*B*e^2*b^5/c^4*(c*x^2+b*x)^(3/2)*x-55/16384*B*e^2*b^7/c^5*(c*x^2+b*x)^(1/2)*x-11/144*B*e^2*b/c^2*x*(c*x^2+b*x)^(7/2)+55/12288*B*e^2*b^6/c^5*(c*x^2+b*x)^(3/2)-55/32768*B*e^2*b^8/c^6*(c*x^2+b*x)^(1/2)+45/4096*b^6/c^4*(c*x^2+b*x)^(1/2)*x*B*d*e-1/6*b/c*x*(c*x^2+b*x)^(5/2)*A*d*e-5/256*b^5/c^3*(c*x^2+b*x)^(1/2)*x*A*d*e-15/512*b^4/c^3*(c*x^2+b*x)^(3/2)*x*B*d*e+3/64*b^3/c^3*(c*x^2+b*x)^(5/2)*B*d*e+11/224*B*e^2*b^2/c^3*(c*x^2+b*x)^(7/2)-45/32768*b^8/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*A*e^2-5/1024*A*d^2*b^6/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))-5/192*A*d^2*b^3/c^2*(c*x^2+b*x)^(3/2)+1/9*B*e^2*x^2*(c*x^2+b*x)^(7/2)/c+45/16384*b^7/c^5*(c*x^2+b*x)^(1/2)*A*e^2-15/1024*b^4/c^3*(c*x^2+b*x)^(3/2)*x*A*e^2-1/24*b^2/c^2*(c*x^2+b*x)^(5/2)*B*d^2+5/384*b^4/c^3*(c*x^2+b*x)^(3/2)*B*d^2-5/1024*b^6/c^4*(c*x^2+b*x)^(1/2)*B*d^2-11/768*B*e^2*b^4/c^4*(c*x^2+b*x)^(5/2)+2/7*(c*x^2+b*x)^(7/2)/c*A*d*e+5/512*A*d^2*b^5/c^3*(c*x^2+b*x)^(1/2)+1/12*A*d^2/c*(c*x^2+b*x)^(5/2)*b","B"
1184,1,716,240,0.053000," ","int((B*x+A)*(e*x+d)*(c*x^2+b*x)^(5/2),x)","\frac{5 A \,b^{7} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2048 c^{\frac{9}{2}}}-\frac{5 A \,b^{6} d \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{1024 c^{\frac{7}{2}}}-\frac{45 B \,b^{8} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{32768 c^{\frac{11}{2}}}+\frac{5 B \,b^{7} d \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2048 c^{\frac{9}{2}}}-\frac{5 \sqrt{c \,x^{2}+b x}\, A \,b^{5} e x}{512 c^{3}}+\frac{5 \sqrt{c \,x^{2}+b x}\, A \,b^{4} d x}{256 c^{2}}+\frac{45 \sqrt{c \,x^{2}+b x}\, B \,b^{6} e x}{8192 c^{4}}-\frac{5 \sqrt{c \,x^{2}+b x}\, B \,b^{5} d x}{512 c^{3}}-\frac{5 \sqrt{c \,x^{2}+b x}\, A \,b^{6} e}{1024 c^{4}}+\frac{5 \sqrt{c \,x^{2}+b x}\, A \,b^{5} d}{512 c^{3}}+\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{3} e x}{192 c^{2}}-\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{2} d x}{96 c}+\frac{45 \sqrt{c \,x^{2}+b x}\, B \,b^{7} e}{16384 c^{5}}-\frac{5 \sqrt{c \,x^{2}+b x}\, B \,b^{6} d}{1024 c^{4}}-\frac{15 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{4} e x}{1024 c^{3}}+\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{3} d x}{192 c^{2}}+\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{4} e}{384 c^{3}}-\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{3} d}{192 c^{2}}-\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} A b e x}{12 c}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} A d x}{6}-\frac{15 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{5} e}{2048 c^{4}}+\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{4} d}{384 c^{3}}+\frac{3 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,b^{2} e x}{64 c^{2}}-\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} B b d x}{12 c}-\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} A \,b^{2} e}{24 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} A b d}{12 c}+\frac{3 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,b^{3} e}{128 c^{3}}-\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,b^{2} d}{24 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{7}{2}} B e x}{8 c}+\frac{\left(c \,x^{2}+b x \right)^{\frac{7}{2}} A e}{7 c}-\frac{9 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} B b e}{112 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{7}{2}} B d}{7 c}"," ",0,"-15/2048*B*e*b^5/c^4*(c*x^2+b*x)^(3/2)+45/16384*B*e*b^7/c^5*(c*x^2+b*x)^(1/2)+1/6*A*d*x*(c*x^2+b*x)^(5/2)+1/7*(c*x^2+b*x)^(7/2)/c*B*d+1/7*(c*x^2+b*x)^(7/2)/c*A*e+45/8192*B*e*b^6/c^4*(c*x^2+b*x)^(1/2)*x+3/64*B*e*b^2/c^2*x*(c*x^2+b*x)^(5/2)-15/1024*B*e*b^4/c^3*(c*x^2+b*x)^(3/2)*x-1/12*b/c*x*(c*x^2+b*x)^(5/2)*B*d+5/192*b^3/c^2*(c*x^2+b*x)^(3/2)*x*A*e-1/12*b/c*x*(c*x^2+b*x)^(5/2)*A*e-5/96*A*d*b^2/c*(c*x^2+b*x)^(3/2)*x+5/256*A*d*b^4/c^2*(c*x^2+b*x)^(1/2)*x-5/512*b^5/c^3*(c*x^2+b*x)^(1/2)*x*A*e-5/512*b^5/c^3*(c*x^2+b*x)^(1/2)*x*B*d+5/192*b^3/c^2*(c*x^2+b*x)^(3/2)*x*B*d+5/384*b^4/c^3*(c*x^2+b*x)^(3/2)*A*e+5/384*b^4/c^3*(c*x^2+b*x)^(3/2)*B*d-1/24*b^2/c^2*(c*x^2+b*x)^(5/2)*A*e-1/24*b^2/c^2*(c*x^2+b*x)^(5/2)*B*d-5/1024*b^6/c^4*(c*x^2+b*x)^(1/2)*A*e-5/1024*b^6/c^4*(c*x^2+b*x)^(1/2)*B*d+5/2048*b^7/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*A*e+1/12*A*d/c*(c*x^2+b*x)^(5/2)*b-5/192*A*d*b^3/c^2*(c*x^2+b*x)^(3/2)+1/8*B*e*x*(c*x^2+b*x)^(7/2)/c-9/112*B*e*b/c^2*(c*x^2+b*x)^(7/2)+3/128*B*e*b^3/c^3*(c*x^2+b*x)^(5/2)-5/1024*A*d*b^6/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+5/2048*b^7/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*B*d-45/32768*B*e*b^8/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+5/512*A*d*b^5/c^3*(c*x^2+b*x)^(1/2)","B"
1185,1,321,147,0.046000," ","int((B*x+A)*(c*x^2+b*x)^(5/2),x)","-\frac{5 A \,b^{6} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{1024 c^{\frac{7}{2}}}+\frac{5 B \,b^{7} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2048 c^{\frac{9}{2}}}+\frac{5 \sqrt{c \,x^{2}+b x}\, A \,b^{4} x}{256 c^{2}}-\frac{5 \sqrt{c \,x^{2}+b x}\, B \,b^{5} x}{512 c^{3}}+\frac{5 \sqrt{c \,x^{2}+b x}\, A \,b^{5}}{512 c^{3}}-\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{2} x}{96 c}-\frac{5 \sqrt{c \,x^{2}+b x}\, B \,b^{6}}{1024 c^{4}}+\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{3} x}{192 c^{2}}-\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} A \,b^{3}}{192 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} A x}{6}+\frac{5 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} B \,b^{4}}{384 c^{3}}-\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} B b x}{12 c}+\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} A b}{12 c}-\frac{\left(c \,x^{2}+b x \right)^{\frac{5}{2}} B \,b^{2}}{24 c^{2}}+\frac{\left(c \,x^{2}+b x \right)^{\frac{7}{2}} B}{7 c}"," ",0,"1/7*(c*x^2+b*x)^(7/2)*B/c-1/12*B*b/c*x*(c*x^2+b*x)^(5/2)-1/24*B*b^2/c^2*(c*x^2+b*x)^(5/2)+5/192*B*b^3/c^2*(c*x^2+b*x)^(3/2)*x+5/384*B*b^4/c^3*(c*x^2+b*x)^(3/2)-5/512*B*b^5/c^3*(c*x^2+b*x)^(1/2)*x-5/1024*B*b^6/c^4*(c*x^2+b*x)^(1/2)+5/2048*B*b^7/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/6*A*x*(c*x^2+b*x)^(5/2)+1/12*A/c*(c*x^2+b*x)^(5/2)*b-5/96*A*b^2/c*(c*x^2+b*x)^(3/2)*x-5/192*A*b^3/c^2*(c*x^2+b*x)^(3/2)+5/256*A*b^4/c^2*(c*x^2+b*x)^(1/2)*x+5/512*A*b^5/c^3*(c*x^2+b*x)^(1/2)-5/1024*A*b^6/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))","B"
1186,1,4097,668,0.056000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/(e*x+d),x)","\text{output too large to display}"," ",0,"5/256*B/e*b^4/c^2*(c*x^2+b*x)^(1/2)*x-5/96*B/e*b^2/c*(c*x^2+b*x)^(3/2)*x-3/e^5*d^4/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^2*c*A+3/e^6*d^5/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^2*c*B+3/64/e^2/c*b^3*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*B*d+3/4/e^3*d^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*b*c*A-3/4/e^4*d^3*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*b*c*B+3/e^6*d^5/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*c^2*A-3/e^7*d^6/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*c^2*B+3/128/e^2/c^2*b^4*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*B*d-3/256/e^2/c^(5/2)*b^5*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*B*d+5/32/e^3*b^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*d^2*B-5/64/e^2/c*b^3*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*d*A+5/64/e^3/c*b^3*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*d^2*B-1/4/e^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*x*c*d*A+5/16/e^3*d^2*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/c^(1/2)*b^3*A-9/4/e^4*d^3*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b*c*A+9/4/e^5*d^4*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b*c*B-5/2/e^6*d^5*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(3/2)*b*B-1/e^5*d^4/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^3*B-5/16/e^4*d^3*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/c^(1/2)*b^3*B-5/1024*B/e*b^6/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))-3/128/e/c^2*b^4*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*A+3/256/e/c^(5/2)*b^5*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*A+1/8/e*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*x*b*A+1/e^5*d^4*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c^2*A-1/e^6*d^5*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c^2*B-1/e^6*d^5*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(5/2)*A+1/6*B/e*(c*x^2+b*x)^(5/2)*x-1/5/e^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(5/2)*B*d+1/e^7*d^6*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(5/2)*B-1/2/e^4*d^3*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c^2*A+1/12*B/e/c*(c*x^2+b*x)^(5/2)*b-5/192*B/e*b^3/c^2*(c*x^2+b*x)^(3/2)+1/5/e*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(5/2)*A+1/4/e^3*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*x*c*d^2*B+15/8/e^5*d^4*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(1/2)*b^2*B+5/2/e^5*d^4*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(3/2)*b*A-15/8/e^4*d^3*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*c^(1/2)*b^2*A-1/e^7*d^6/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c^3*A+1/e^8*d^7/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c^3*B-1/8/e^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*x*b*B*d+1/2/e^5*d^4*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c^2*B+5/512*B/e*b^5/c^3*(c*x^2+b*x)^(1/2)+1/e^4*d^3/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^3*A-5/32/e^2*b^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*d*A+11/8/e^3*d^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b^2*A-11/8/e^4*d^3*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b^2*B-11/24/e^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*b*d*A+11/24/e^3*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*b*d^2*B+1/16/e/c*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*b^2*A+1/3/e^3*d^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*c*A-1/3/e^4*d^3*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*c*B-1/16/e^2/c*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*b^2*B*d+5/128/e^2*d/c^(3/2)*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*b^4*A-5/128/e^3*d^2/c^(3/2)*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))*b^4*B-3/64/e/c*b^3*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*A","B"
1187,1,7095,540,0.062000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/(e*x+d)^2,x)","\text{output too large to display}"," ",0,"result too large to display","B"
1188,1,11558,474,0.072000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/(e*x+d)^3,x)","\text{output too large to display}"," ",0,"result too large to display","B"
1189,1,17133,461,0.087000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/(e*x+d)^4,x)","\text{output too large to display}"," ",0,"result too large to display","B"
1190,1,23819,599,0.089000," ","int((B*x+A)*(c*x^2+b*x)^(5/2)/(e*x+d)^5,x)","\text{output too large to display}"," ",0,"result too large to display","B"
1191,1,646,285,0.063000," ","int((B*x+A)*(e*x+d)^3/(c*x^2+b*x)^(1/2),x)","\frac{\sqrt{c \,x^{2}+b x}\, B \,e^{3} x^{3}}{4 c}+\frac{\sqrt{c \,x^{2}+b x}\, A \,e^{3} x^{2}}{3 c}-\frac{7 \sqrt{c \,x^{2}+b x}\, B b \,e^{3} x^{2}}{24 c^{2}}+\frac{\sqrt{c \,x^{2}+b x}\, B d \,e^{2} x^{2}}{c}-\frac{5 A \,b^{3} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{16 c^{\frac{7}{2}}}+\frac{9 A \,b^{2} d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{8 c^{\frac{5}{2}}}-\frac{3 A b \,d^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2 c^{\frac{3}{2}}}+\frac{A \,d^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{\sqrt{c}}+\frac{35 B \,b^{4} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{128 c^{\frac{9}{2}}}-\frac{15 B \,b^{3} d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{16 c^{\frac{7}{2}}}+\frac{9 B \,b^{2} d^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{8 c^{\frac{5}{2}}}-\frac{B b \,d^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2 c^{\frac{3}{2}}}-\frac{5 \sqrt{c \,x^{2}+b x}\, A b \,e^{3} x}{12 c^{2}}+\frac{3 \sqrt{c \,x^{2}+b x}\, A d \,e^{2} x}{2 c}+\frac{35 \sqrt{c \,x^{2}+b x}\, B \,b^{2} e^{3} x}{96 c^{3}}-\frac{5 \sqrt{c \,x^{2}+b x}\, B b d \,e^{2} x}{4 c^{2}}+\frac{3 \sqrt{c \,x^{2}+b x}\, B \,d^{2} e x}{2 c}+\frac{5 \sqrt{c \,x^{2}+b x}\, A \,b^{2} e^{3}}{8 c^{3}}-\frac{9 \sqrt{c \,x^{2}+b x}\, A b d \,e^{2}}{4 c^{2}}+\frac{3 \sqrt{c \,x^{2}+b x}\, A \,d^{2} e}{c}-\frac{35 \sqrt{c \,x^{2}+b x}\, B \,b^{3} e^{3}}{64 c^{4}}+\frac{15 \sqrt{c \,x^{2}+b x}\, B \,b^{2} d \,e^{2}}{8 c^{3}}-\frac{9 \sqrt{c \,x^{2}+b x}\, B b \,d^{2} e}{4 c^{2}}+\frac{\sqrt{c \,x^{2}+b x}\, B \,d^{3}}{c}"," ",0,"1/4*B*e^3*x^3/c*(c*x^2+b*x)^(1/2)-7/24*B*e^3*b/c^2*x^2*(c*x^2+b*x)^(1/2)+35/96*B*e^3*b^2/c^3*x*(c*x^2+b*x)^(1/2)-35/64*B*e^3*b^3/c^4*(c*x^2+b*x)^(1/2)+35/128*B*e^3*b^4/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/3*x^2/c*(c*x^2+b*x)^(1/2)*A*e^3+x^2/c*(c*x^2+b*x)^(1/2)*B*d*e^2-5/12*b/c^2*x*(c*x^2+b*x)^(1/2)*A*e^3-5/4*b/c^2*x*(c*x^2+b*x)^(1/2)*B*d*e^2+5/8*b^2/c^3*(c*x^2+b*x)^(1/2)*A*e^3+15/8*b^2/c^3*(c*x^2+b*x)^(1/2)*B*d*e^2-5/16*b^3/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*A*e^3-15/16*b^3/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*B*d*e^2+3/2*x/c*(c*x^2+b*x)^(1/2)*A*d*e^2+3/2*x/c*(c*x^2+b*x)^(1/2)*B*d^2*e-9/4*b/c^2*(c*x^2+b*x)^(1/2)*A*d*e^2-9/4*b/c^2*(c*x^2+b*x)^(1/2)*B*d^2*e+9/8*b^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*A*d*e^2+9/8*b^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*B*d^2*e+3/c*(c*x^2+b*x)^(1/2)*A*d^2*e+1/c*(c*x^2+b*x)^(1/2)*B*d^3-3/2*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*A*d^2*e-1/2*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*B*d^3+A*d^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))/c^(1/2)","B"
1192,1,395,173,0.059000," ","int((B*x+A)*(e*x+d)^2/(c*x^2+b*x)^(1/2),x)","\frac{\sqrt{c \,x^{2}+b x}\, B \,e^{2} x^{2}}{3 c}+\frac{3 A \,b^{2} e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{8 c^{\frac{5}{2}}}-\frac{A b d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{c^{\frac{3}{2}}}+\frac{A \,d^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{\sqrt{c}}-\frac{5 B \,b^{3} e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{16 c^{\frac{7}{2}}}+\frac{3 B \,b^{2} d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{4 c^{\frac{5}{2}}}-\frac{B b \,d^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2 c^{\frac{3}{2}}}+\frac{\sqrt{c \,x^{2}+b x}\, A \,e^{2} x}{2 c}-\frac{5 \sqrt{c \,x^{2}+b x}\, B b \,e^{2} x}{12 c^{2}}+\frac{\sqrt{c \,x^{2}+b x}\, B d e x}{c}-\frac{3 \sqrt{c \,x^{2}+b x}\, A b \,e^{2}}{4 c^{2}}+\frac{2 \sqrt{c \,x^{2}+b x}\, A d e}{c}+\frac{5 \sqrt{c \,x^{2}+b x}\, B \,b^{2} e^{2}}{8 c^{3}}-\frac{3 \sqrt{c \,x^{2}+b x}\, B b d e}{2 c^{2}}+\frac{\sqrt{c \,x^{2}+b x}\, B \,d^{2}}{c}"," ",0,"1/3*B*e^2*x^2/c*(c*x^2+b*x)^(1/2)-5/12*B*e^2*b/c^2*x*(c*x^2+b*x)^(1/2)+5/8*B*e^2*b^2/c^3*(c*x^2+b*x)^(1/2)-5/16*B*e^2*b^3/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/2*x/c*(c*x^2+b*x)^(1/2)*A*e^2+x/c*(c*x^2+b*x)^(1/2)*B*d*e-3/4*b/c^2*(c*x^2+b*x)^(1/2)*A*e^2-3/2*b/c^2*(c*x^2+b*x)^(1/2)*B*d*e+3/8*b^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*A*e^2+3/4*b^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*B*d*e+2/c*(c*x^2+b*x)^(1/2)*A*d*e+1/c*(c*x^2+b*x)^(1/2)*B*d^2-b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*A*d*e-1/2*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*B*d^2+A*d^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))/c^(1/2)","B"
1193,1,202,87,0.049000," ","int((B*x+A)*(e*x+d)/(c*x^2+b*x)^(1/2),x)","-\frac{A b e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2 c^{\frac{3}{2}}}+\frac{A d \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{\sqrt{c}}+\frac{3 B \,b^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{8 c^{\frac{5}{2}}}-\frac{B b d \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2 c^{\frac{3}{2}}}+\frac{\sqrt{c \,x^{2}+b x}\, B e x}{2 c}+\frac{\sqrt{c \,x^{2}+b x}\, A e}{c}-\frac{3 \sqrt{c \,x^{2}+b x}\, B b e}{4 c^{2}}+\frac{\sqrt{c \,x^{2}+b x}\, B d}{c}"," ",0,"1/2*B*e*x/c*(c*x^2+b*x)^(1/2)-3/4*B*e*b/c^2*(c*x^2+b*x)^(1/2)+3/8*B*e*b^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+1/c*(c*x^2+b*x)^(1/2)*A*e+1/c*(c*x^2+b*x)^(1/2)*B*d-1/2*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*A*e-1/2*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*B*d+A*d*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))/c^(1/2)","B"
1194,1,78,47,0.047000," ","int((B*x+A)/(c*x^2+b*x)^(1/2),x)","\frac{A \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{\sqrt{c}}-\frac{B b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2 c^{\frac{3}{2}}}+\frac{\sqrt{c \,x^{2}+b x}\, B}{c}"," ",0,"(c*x^2+b*x)^(1/2)*B/c-1/2*B*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+A*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))/c^(1/2)","A"
1195,1,298,95,0.049000," ","int((B*x+A)/(e*x+d)/(c*x^2+b*x)^(1/2),x)","-\frac{A \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e}+\frac{B d \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e^{2}}+\frac{B \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{\sqrt{c}\, e}"," ",0,"B/e*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))/c^(1/2)-1/e/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*A+1/e^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*B*d","B"
1196,1,849,112,0.062000," ","int((B*x+A)/(e*x+d)^2/(c*x^2+b*x)^(1/2),x)","-\frac{A b \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{2 \left(b e -c d \right) \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, d}+\frac{A c \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\left(b e -c d \right) \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e}+\frac{B b \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{2 \left(b e -c d \right) \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e}-\frac{B c d \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\left(b e -c d \right) \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e^{2}}+\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, A}{\left(b e -c d \right) \left(x +\frac{d}{e}\right) d}-\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, B}{\left(b e -c d \right) \left(x +\frac{d}{e}\right) e}-\frac{B \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e^{2}}"," ",0,"1/(b*e-c*d)/d/(x+d/e)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*A-1/e/(b*e-c*d)/(x+d/e)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*B-1/2/(b*e-c*d)/d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*A+1/2/e/(b*e-c*d)/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*B+1/e/(b*e-c*d)/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c*A-1/e^2/(b*e-c*d)/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c*B*d-B/e^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))","B"
1197,1,1821,194,0.060000," ","int((B*x+A)/(e*x+d)^3/(c*x^2+b*x)^(1/2),x)","-\frac{3 A \,b^{2} e \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{8 \left(b e -c d \right)^{2} \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, d^{2}}+\frac{3 A b c \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{2 \left(b e -c d \right)^{2} \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, d}-\frac{3 A \,c^{2} \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{2 \left(b e -c d \right)^{2} \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e}+\frac{3 B \,b^{2} \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{8 \left(b e -c d \right)^{2} \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, d}-\frac{3 B b c \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{2 \left(b e -c d \right)^{2} \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e}+\frac{3 B \,c^{2} d \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{2 \left(b e -c d \right)^{2} \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e^{2}}+\frac{3 \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, A b e}{4 \left(b e -c d \right)^{2} \left(x +\frac{d}{e}\right) d^{2}}-\frac{A c \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{2 \left(b e -c d \right) \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, d e}-\frac{3 \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, A c}{2 \left(b e -c d \right)^{2} \left(x +\frac{d}{e}\right) d}-\frac{B b \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{2 \left(b e -c d \right) \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, d e}-\frac{3 \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, B b}{4 \left(b e -c d \right)^{2} \left(x +\frac{d}{e}\right) d}+\frac{3 \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, B c}{2 \left(b e -c d \right)^{2} \left(x +\frac{d}{e}\right) e}+\frac{3 B c \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{2 \left(b e -c d \right) \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, e^{2}}+\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, A}{2 \left(b e -c d \right) \left(x +\frac{d}{e}\right)^{2} d e}+\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, B}{\left(b e -c d \right) \left(x +\frac{d}{e}\right) d e}-\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, B}{2 \left(b e -c d \right) \left(x +\frac{d}{e}\right)^{2} e^{2}}"," ",0,"B/e/(b*e-c*d)/d/(x+d/e)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)-1/2*B/e/(b*e-c*d)/d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b+3/2*B/e^2/(b*e-c*d)/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c+1/2/e/(b*e-c*d)/d/(x+d/e)^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*A-1/2/e^2/(b*e-c*d)/(x+d/e)^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*B+3/4*e/(b*e-c*d)^2/d^2/(x+d/e)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b*A-3/4/(b*e-c*d)^2/d/(x+d/e)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b*B-3/2/(b*e-c*d)^2/d/(x+d/e)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c*A+3/2/e/(b*e-c*d)^2/(x+d/e)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c*B-3/8*e/(b*e-c*d)^2/d^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^2*A+3/8/(b*e-c*d)^2/d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^2*B+3/2/(b*e-c*d)^2/d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*c*A-3/2/e/(b*e-c*d)^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*c*B-3/2/e/(b*e-c*d)^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c^2*A+3/2/e^2/(b*e-c*d)^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c^2*B*d-1/2/e*c/(b*e-c*d)/d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*A","B"
1198,1,3242,305,0.128000," ","int((B*x+A)/(e*x+d)^4/(c*x^2+b*x)^(1/2),x)","\text{output too large to display}"," ",0,"9/4*B/e/(b*e-c*d)^2/d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*c+15/8*e/(b*e-c*d)^3/d^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^2*c*A-5/2*e/(b*e-c*d)^3/d^2/(x+d/e)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b*c*A+5/2/(b*e-c*d)^3/d/(x+d/e)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c^2*A+1/3/e^2/(b*e-c*d)/d/(x+d/e)^3*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*A+5/2/e/(b*e-c*d)^3/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c^3*A+5/6/e^2/(b*e-c*d)^2/(x+d/e)^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c*B-5/2/e/(b*e-c*d)^3/(x+d/e)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c^2*B+2/3*c/(b*e-c*d)^2/d^2/(x+d/e)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*A+5/12/(b*e-c*d)^2/d^2/(x+d/e)^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b*A+1/2*B/e^2/(b*e-c*d)/d/(x+d/e)^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)+3/4*B/(b*e-c*d)^2/d^2/(x+d/e)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b-3/8*B/(b*e-c*d)^2/d^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^2-3*B/e^2/(b*e-c*d)^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c^2-1/3/e^3/(b*e-c*d)/(x+d/e)^3*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*B-5/6/e/(b*e-c*d)^2/d/(x+d/e)^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c*A+5/8*e^2/(b*e-c*d)^3/d^3/(x+d/e)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b^2*A+5/16*e/(b*e-c*d)^3/d^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^3*B-5/2/e^2/(b*e-c*d)^3/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c^3*B*d-13/6*B/e/(b*e-c*d)^2/d/(x+d/e)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c-1/2*B/e^2*c/(b*e-c*d)/d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))-15/4/(b*e-c*d)^3/d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*c^2*A-3/4/(b*e-c*d)^2/d^2*c/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*A-15/8/(b*e-c*d)^3/d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^2*c*B-5/16*e^2/(b*e-c*d)^3/d^3/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^3*A+5/2/(b*e-c*d)^3/d/(x+d/e)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b*c*B-5/8*e/(b*e-c*d)^3/d^2/(x+d/e)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b^2*B+15/4/e/(b*e-c*d)^3/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*c^2*B-5/12/e/(b*e-c*d)^2/d/(x+d/e)^2*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b*B+3/2/e/(b*e-c*d)^2/d*c^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*A","B"
1199,1,450,224,0.063000," ","int((B*x+A)*(e*x+d)^3/(c*x^2+b*x)^(3/2),x)","\frac{B \,e^{3} x^{3}}{2 \sqrt{c \,x^{2}+b x}\, c}+\frac{A \,e^{3} x^{2}}{\sqrt{c \,x^{2}+b x}\, c}-\frac{5 B b \,e^{3} x^{2}}{4 \sqrt{c \,x^{2}+b x}\, c^{2}}+\frac{3 B d \,e^{2} x^{2}}{\sqrt{c \,x^{2}+b x}\, c}+\frac{3 A b \,e^{3} x}{\sqrt{c \,x^{2}+b x}\, c^{2}}+\frac{6 A \,d^{2} e x}{\sqrt{c \,x^{2}+b x}\, b}-\frac{6 A d \,e^{2} x}{\sqrt{c \,x^{2}+b x}\, c}-\frac{15 B \,b^{2} e^{3} x}{4 \sqrt{c \,x^{2}+b x}\, c^{3}}+\frac{9 B b d \,e^{2} x}{\sqrt{c \,x^{2}+b x}\, c^{2}}+\frac{2 B \,d^{3} x}{\sqrt{c \,x^{2}+b x}\, b}-\frac{6 B \,d^{2} e x}{\sqrt{c \,x^{2}+b x}\, c}-\frac{3 A b \,e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2 c^{\frac{5}{2}}}+\frac{3 A d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{c^{\frac{3}{2}}}+\frac{15 B \,b^{2} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{8 c^{\frac{7}{2}}}-\frac{9 B b d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2 c^{\frac{5}{2}}}+\frac{3 B \,d^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{c^{\frac{3}{2}}}-\frac{2 \left(2 c x +b \right) A \,d^{3}}{\sqrt{c \,x^{2}+b x}\, b^{2}}"," ",0,"1/2*B*e^3*x^3/c/(c*x^2+b*x)^(1/2)-5/4*B*e^3*b/c^2*x^2/(c*x^2+b*x)^(1/2)-15/4*B*e^3*b^2/c^3/(c*x^2+b*x)^(1/2)*x+15/8*B*e^3*b^2/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+x^2/c/(c*x^2+b*x)^(1/2)*A*e^3+3*x^2/c/(c*x^2+b*x)^(1/2)*B*d*e^2+3*b/c^2/(c*x^2+b*x)^(1/2)*x*A*e^3+9*b/c^2/(c*x^2+b*x)^(1/2)*x*B*d*e^2-3/2*b/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*A*e^3-9/2*b/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*B*d*e^2-6/c/(c*x^2+b*x)^(1/2)*x*A*d*e^2-6/c/(c*x^2+b*x)^(1/2)*x*B*d^2*e+3/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*A*d*e^2+3/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*B*d^2*e+6/b/(c*x^2+b*x)^(1/2)*x*A*d^2*e+2/b/(c*x^2+b*x)^(1/2)*x*B*d^3-2*A*d^3*(2*c*x+b)/b^2/(c*x^2+b*x)^(1/2)","B"
1200,1,252,141,0.061000," ","int((B*x+A)*(e*x+d)^2/(c*x^2+b*x)^(3/2),x)","\frac{B \,e^{2} x^{2}}{\sqrt{c \,x^{2}+b x}\, c}+\frac{4 A d e x}{\sqrt{c \,x^{2}+b x}\, b}-\frac{2 A \,e^{2} x}{\sqrt{c \,x^{2}+b x}\, c}+\frac{3 B b \,e^{2} x}{\sqrt{c \,x^{2}+b x}\, c^{2}}+\frac{2 B \,d^{2} x}{\sqrt{c \,x^{2}+b x}\, b}-\frac{4 B d e x}{\sqrt{c \,x^{2}+b x}\, c}+\frac{A \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{c^{\frac{3}{2}}}-\frac{3 B b \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2 c^{\frac{5}{2}}}+\frac{2 B d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{c^{\frac{3}{2}}}-\frac{2 \left(2 c x +b \right) A \,d^{2}}{\sqrt{c \,x^{2}+b x}\, b^{2}}"," ",0,"B*e^2*x^2/c/(c*x^2+b*x)^(1/2)+3*B*e^2*b/c^2/(c*x^2+b*x)^(1/2)*x-3/2*B*e^2*b/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))-2/c/(c*x^2+b*x)^(1/2)*x*A*e^2-4/c/(c*x^2+b*x)^(1/2)*x*B*d*e+1/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*A*e^2+2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*B*d*e+4/b/(c*x^2+b*x)^(1/2)*x*A*d*e+2/b/(c*x^2+b*x)^(1/2)*x*B*d^2-2*A*d^2*(2*c*x+b)/b^2/(c*x^2+b*x)^(1/2)","A"
1201,1,113,77,0.053000," ","int((B*x+A)*(e*x+d)/(c*x^2+b*x)^(3/2),x)","\frac{2 A e x}{\sqrt{c \,x^{2}+b x}\, b}+\frac{2 B d x}{\sqrt{c \,x^{2}+b x}\, b}-\frac{2 B e x}{\sqrt{c \,x^{2}+b x}\, c}+\frac{B e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{c^{\frac{3}{2}}}-\frac{2 \left(2 c x +b \right) A d}{\sqrt{c \,x^{2}+b x}\, b^{2}}"," ",0,"-2*B*e/c/(c*x^2+b*x)^(1/2)*x+B*e/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+2/b/(c*x^2+b*x)^(1/2)*x*A*e+2/b/(c*x^2+b*x)^(1/2)*x*B*d-2*A*d*(2*c*x+b)/b^2/(c*x^2+b*x)^(1/2)","A"
1202,1,37,31,0.046000," ","int((B*x+A)/(c*x^2+b*x)^(3/2),x)","-\frac{2 \left(c x +b \right) \left(2 A c x -B b x +A b \right) x}{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} b^{2}}"," ",0,"-2*(c*x+b)*x*(2*A*c*x-B*b*x+A*b)/b^2/(c*x^2+b*x)^(3/2)","A"
1203,1,837,127,0.064000," ","int((B*x+A)/(e*x+d)/(c*x^2+b*x)^(3/2),x)","-\frac{2 A c e x}{\left(b e -c d \right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b d}+\frac{4 A \,c^{2} x}{\left(b e -c d \right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b^{2}}+\frac{A e \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\left(b e -c d \right) \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, d}+\frac{2 B c x}{\left(b e -c d \right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b}-\frac{4 B \,c^{2} d x}{\left(b e -c d \right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b^{2} e}-\frac{B \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\left(b e -c d \right) \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}}+\frac{2 A c}{\left(b e -c d \right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b}-\frac{2 A e}{\left(b e -c d \right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, d}-\frac{2 B c d}{\left(b e -c d \right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b e}+\frac{2 B}{\left(b e -c d \right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}-\frac{2 \left(2 c x +b \right) B}{\sqrt{c \,x^{2}+b x}\, b^{2} e}"," ",0,"-2*B/e*(2*c*x+b)/b^2/(c*x^2+b*x)^(1/2)-2*e/(b*e-c*d)/d/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*A+2/(b*e-c*d)/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*B-2*e/(b*e-c*d)/d/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c*A+2/(b*e-c*d)/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c*B+4/(b*e-c*d)/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c^2*A-4/e/(b*e-c*d)/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c^2*B*d+2/(b*e-c*d)/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c*A-2/e/(b*e-c*d)/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c*B*d+e/(b*e-c*d)/d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*A-1/(b*e-c*d)/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*B","B"
1204,1,2069,227,0.064000," ","int((B*x+A)/(e*x+d)^2/(c*x^2+b*x)^(3/2),x)","\frac{3 A b \,e^{2} \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{2 \left(b e -c d \right)^{2} \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, d^{2}}+\frac{12 A \,c^{2} e x}{\left(b e -c d \right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b d}-\frac{12 A \,c^{3} x}{\left(b e -c d \right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b^{2}}-\frac{3 A c e \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\left(b e -c d \right)^{2} \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, d}-\frac{3 A c \,e^{2} x}{\left(b e -c d \right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, d^{2}}-\frac{3 B b e \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{2 \left(b e -c d \right)^{2} \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, d}-\frac{12 B \,c^{2} x}{\left(b e -c d \right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b}+\frac{12 B \,c^{3} d x}{\left(b e -c d \right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b^{2} e}+\frac{3 B c e x}{\left(b e -c d \right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, d}+\frac{3 B c \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\left(b e -c d \right)^{2} \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}}-\frac{3 A b \,e^{2}}{\left(b e -c d \right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, d^{2}}-\frac{6 A \,c^{2}}{\left(b e -c d \right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b}+\frac{9 A c e}{\left(b e -c d \right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, d}+\frac{3 B b e}{\left(b e -c d \right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, d}+\frac{6 B \,c^{2} d}{\left(b e -c d \right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b e}-\frac{9 B c}{\left(b e -c d \right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}-\frac{8 A \,c^{2} x}{\left(b e -c d \right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b^{2} d}-\frac{2 B c x}{\left(b e -c d \right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b d}+\frac{12 B \,c^{2} x}{\left(b e -c d \right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b^{2} e}+\frac{B \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\left(b e -c d \right) \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, d}-\frac{4 A c}{\left(b e -c d \right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b d}+\frac{A}{\left(b e -c d \right) \left(x +\frac{d}{e}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, d}+\frac{6 B c}{\left(b e -c d \right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b e}-\frac{2 B}{\left(b e -c d \right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, d}-\frac{B}{\left(b e -c d \right) \left(x +\frac{d}{e}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, e}"," ",0,"-1/e/(b*e-c*d)/(x+d/e)/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*B-6/(b*e-c*d)^2/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c^2*A+3/(b*e-c*d)^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c*B-3*e^2/(b*e-c*d)^2/d^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c*A+3*e/(b*e-c*d)^2/d/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c*B+6/e/(b*e-c*d)^2/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c^2*B*d+3/2*e^2/(b*e-c*d)^2/d^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*A-3/2*e/(b*e-c*d)^2/d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*B-8*c^2/(b*e-c*d)/d/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*A+12/e*c^2/(b*e-c*d)/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*B-2*B/(b*e-c*d)/d/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c+9*e/(b*e-c*d)^2/d/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c*A-12/(b*e-c*d)^2/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c^2*B-2*B/(b*e-c*d)/d/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)-9/(b*e-c*d)^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c*B+12/e/(b*e-c*d)^2/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c^3*B*d+12*e/(b*e-c*d)^2/d/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c^2*A+B/(b*e-c*d)/d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))+1/(b*e-c*d)/d/(x+d/e)/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*A-3*e/(b*e-c*d)^2/d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c*A+6/e*c/(b*e-c*d)/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*B-4*c/(b*e-c*d)/d/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*A-12/(b*e-c*d)^2/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c^3*A-3*e^2/(b*e-c*d)^2/d^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b*A+3*e/(b*e-c*d)^2/d/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b*B","B"
1205,1,3735,350,0.069000," ","int((B*x+A)/(e*x+d)^3/(c*x^2+b*x)^(3/2),x)","\text{output too large to display}"," ",0,"-15/2/(b*e-c*d)^3/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c^2*B+17*B/(b*e-c*d)^2/d/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c+30/(b*e-c*d)^3/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c^2*B-45*e/(b*e-c*d)^3/d/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c^3*A-13*e/(b*e-c*d)^2/d^2*c^2/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*A-15/4*e^3/(b*e-c*d)^3/d^3/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c*b*A-30/e/(b*e-c*d)^3/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c^4*B*d-15/2*e^2/(b*e-c*d)^3/d^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*c*A+15/4*e^2/(b*e-c*d)^3/d^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c*b*B+15/2*e/(b*e-c*d)^3/d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*c*B+B/e/(b*e-c*d)/d/(x+d/e)/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)-3*B*e/(b*e-c*d)^2/d^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b-30*e/(b*e-c*d)^3/d/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c^2*A-8*e/(b*e-c*d)^2/d^2*c/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*A+1/2/e/(b*e-c*d)/d/(x+d/e)^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*A-15/4*e^3/(b*e-c*d)^3/d^3/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b^2*A+15/4*e^2/(b*e-c*d)^3/d^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b^2*B+5/2/e/(b*e-c*d)^2/(x+d/e)/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c*B-8*B/e*c^2/(b*e-c*d)/d/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x-5/4/(b*e-c*d)^2/d/(x+d/e)/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b*B-5/2/(b*e-c*d)^2/d/(x+d/e)/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c*A+30/(b*e-c*d)^3/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c^4*A+45/(b*e-c*d)^3/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c^3*B+13/(b*e-c*d)^2/d*c^2/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*A-19*B/e/(b*e-c*d)^2/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c^2-9/2*B/(b*e-c*d)^2/d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c-1/2/e^2/(b*e-c*d)/(x+d/e)^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*B+15/(b*e-c*d)^3/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c^3*A-45/2*e/(b*e-c*d)^3/d/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c^2*B+26/(b*e-c*d)^2/d*c^3/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*A-75/4*e/(b*e-c*d)^3/d/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b*c*B-3*B*e/(b*e-c*d)^2/d^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c+25*B/(b*e-c*d)^2/d/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c^2-38*B/e/(b*e-c*d)^2/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c^3+3/2*B*e/(b*e-c*d)^2/d^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b-4*B/e*c/(b*e-c*d)/d/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)+5/4*e/(b*e-c*d)^2/d^2/(x+d/e)/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b*A+75/4*e^2/(b*e-c*d)^3/d^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b*c*A-15/8*e^2/(b*e-c*d)^3/d^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^2*B+3/2*e*c/(b*e-c*d)^2/d^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*A+15/2*e/(b*e-c*d)^3/d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c^2*A-15/e/(b*e-c*d)^3/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c^3*B*d+15/8*e^3/(b*e-c*d)^3/d^3/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b^2*A+45/2*e^2/(b*e-c*d)^3/d^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c^2*A","B"
1206,1,1026,323,0.059000," ","int((B*x+A)*(e*x+d)^4/(c*x^2+b*x)^(5/2),x)","\frac{B \,e^{4} x^{4}}{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} c}-\frac{A \,e^{4} x^{3}}{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c}+\frac{5 B b \,e^{4} x^{3}}{6 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{2}}-\frac{4 B d \,e^{3} x^{3}}{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c}+\frac{A b \,e^{4} x^{2}}{2 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{2}}-\frac{4 A d \,e^{3} x^{2}}{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} c}-\frac{5 B \,b^{2} e^{4} x^{2}}{4 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{3}}+\frac{2 B b d \,e^{3} x^{2}}{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{2}}-\frac{6 B \,d^{2} e^{2} x^{2}}{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} c}+\frac{A \,b^{2} e^{4} x}{6 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{3}}-\frac{4 A b d \,e^{3} x}{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{2}}+\frac{8 A \,d^{3} e x}{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} b}-\frac{4 A c \,d^{4} x}{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} b^{2}}-\frac{4 A \,d^{2} e^{2} x}{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} c}-\frac{5 B \,b^{3} e^{4} x}{12 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{4}}+\frac{2 B \,b^{2} d \,e^{3} x}{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{3}}-\frac{2 B b \,d^{2} e^{2} x}{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{2}}+\frac{2 B \,d^{4} x}{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} b}-\frac{8 B \,d^{3} e x}{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c}+\frac{8 A d \,e^{3} x}{3 \sqrt{c \,x^{2}+b x}\, b c}-\frac{2 A \,d^{4}}{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} b}+\frac{8 A \,d^{2} e^{2} x}{\sqrt{c \,x^{2}+b x}\, b^{2}}-\frac{64 A c \,d^{3} e x}{3 \sqrt{c \,x^{2}+b x}\, b^{3}}+\frac{32 A \,c^{2} d^{4} x}{3 \sqrt{c \,x^{2}+b x}\, b^{4}}-\frac{7 A \,e^{4} x}{3 \sqrt{c \,x^{2}+b x}\, c^{2}}+\frac{35 B b \,e^{4} x}{6 \sqrt{c \,x^{2}+b x}\, c^{3}}+\frac{4 B \,d^{2} e^{2} x}{\sqrt{c \,x^{2}+b x}\, b c}+\frac{16 B \,d^{3} e x}{3 \sqrt{c \,x^{2}+b x}\, b^{2}}-\frac{16 B c \,d^{4} x}{3 \sqrt{c \,x^{2}+b x}\, b^{3}}-\frac{28 B d \,e^{3} x}{3 \sqrt{c \,x^{2}+b x}\, c^{2}}+\frac{A \,e^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{c^{\frac{5}{2}}}-\frac{5 B b \,e^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{2 c^{\frac{7}{2}}}+\frac{4 B d \,e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{c^{\frac{5}{2}}}-\frac{A b \,e^{4}}{6 \sqrt{c \,x^{2}+b x}\, c^{3}}+\frac{4 A \,d^{2} e^{2}}{\sqrt{c \,x^{2}+b x}\, b c}-\frac{32 A \,d^{3} e}{3 \sqrt{c \,x^{2}+b x}\, b^{2}}+\frac{16 A c \,d^{4}}{3 \sqrt{c \,x^{2}+b x}\, b^{3}}+\frac{4 A d \,e^{3}}{3 \sqrt{c \,x^{2}+b x}\, c^{2}}+\frac{5 B \,b^{2} e^{4}}{12 \sqrt{c \,x^{2}+b x}\, c^{4}}-\frac{2 B b d \,e^{3}}{3 \sqrt{c \,x^{2}+b x}\, c^{3}}+\frac{8 B \,d^{3} e}{3 \sqrt{c \,x^{2}+b x}\, b c}-\frac{8 B \,d^{4}}{3 \sqrt{c \,x^{2}+b x}\, b^{2}}+\frac{2 B \,d^{2} e^{2}}{\sqrt{c \,x^{2}+b x}\, c^{2}}"," ",0,"-8/3/b^2/(c*x^2+b*x)^(1/2)*B*d^4-2/3*A*d^4/b/(c*x^2+b*x)^(3/2)+1/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*A*e^4+5/6*B*e^4*b/c^2*x^3/(c*x^2+b*x)^(3/2)-5/4*B*e^4*b^2/c^3*x^2/(c*x^2+b*x)^(3/2)-6*x^2/c/(c*x^2+b*x)^(3/2)*B*d^2*e^2+8/3/b/(c*x^2+b*x)^(3/2)*x*A*d^3*e-16/3/b^3*c/(c*x^2+b*x)^(1/2)*x*B*d^4+8/3/b/c/(c*x^2+b*x)^(1/2)*B*d^3*e-5/12*B*e^4*b^3/c^4/(c*x^2+b*x)^(3/2)*x+35/6*B*e^4*b/c^3/(c*x^2+b*x)^(1/2)*x+8/3/b/c/(c*x^2+b*x)^(1/2)*x*A*d*e^3+4/b/c/(c*x^2+b*x)^(1/2)*x*B*d^2*e^2-64/3/b^3*c/(c*x^2+b*x)^(1/2)*x*A*d^3*e-4/3*b/c^2/(c*x^2+b*x)^(3/2)*x*A*d*e^3+2*b/c^2*x^2/(c*x^2+b*x)^(3/2)*B*d*e^3+2/3*b^2/c^3/(c*x^2+b*x)^(3/2)*x*B*d*e^3-4/3*x^3/c/(c*x^2+b*x)^(3/2)*B*d*e^3+1/2*b/c^2*x^2/(c*x^2+b*x)^(3/2)*A*e^4+1/6*b^2/c^3/(c*x^2+b*x)^(3/2)*x*A*e^4-4/c/(c*x^2+b*x)^(3/2)*x*A*d^2*e^2-8/3/c/(c*x^2+b*x)^(3/2)*x*B*d^3*e-4/3*A*d^4/b^2/(c*x^2+b*x)^(3/2)*c*x+32/3*A*d^4*c^2/b^4/(c*x^2+b*x)^(1/2)*x-2*b/c^2/(c*x^2+b*x)^(3/2)*x*B*d^2*e^2+4/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))*B*d*e^3-7/3/c^2/(c*x^2+b*x)^(1/2)*x*A*e^4+8/b^2/(c*x^2+b*x)^(1/2)*x*A*d^2*e^2+16/3/b^2/(c*x^2+b*x)^(1/2)*x*B*d^3*e+4/b/c/(c*x^2+b*x)^(1/2)*A*d^2*e^2-28/3/c^2/(c*x^2+b*x)^(1/2)*x*B*d*e^3-2/3*b/c^3/(c*x^2+b*x)^(1/2)*B*d*e^3-4*x^2/c/(c*x^2+b*x)^(3/2)*A*d*e^3+16/3*A*d^4*c/b^3/(c*x^2+b*x)^(1/2)+2/3/b/(c*x^2+b*x)^(3/2)*x*B*d^4-1/3*x^3/c/(c*x^2+b*x)^(3/2)*A*e^4+B*e^4*x^4/c/(c*x^2+b*x)^(3/2)-1/6*b/c^3/(c*x^2+b*x)^(1/2)*A*e^4-32/3/b^2/(c*x^2+b*x)^(1/2)*A*d^3*e+5/12*B*e^4*b^2/c^4/(c*x^2+b*x)^(1/2)-5/2*B*e^4*b/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))+4/3/c^2/(c*x^2+b*x)^(1/2)*A*d*e^3+2/c^2/(c*x^2+b*x)^(1/2)*B*d^2*e^2","B"
1207,1,680,206,0.062000," ","int((B*x+A)*(e*x+d)^3/(c*x^2+b*x)^(5/2),x)","-\frac{B \,e^{3} x^{3}}{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c}-\frac{A \,e^{3} x^{2}}{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} c}+\frac{B b \,e^{3} x^{2}}{2 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{2}}-\frac{3 B d \,e^{2} x^{2}}{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} c}-\frac{A b \,e^{3} x}{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{2}}+\frac{2 A \,d^{2} e x}{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} b}-\frac{4 A c \,d^{3} x}{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} b^{2}}-\frac{2 A d \,e^{2} x}{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} c}+\frac{B \,b^{2} e^{3} x}{6 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{3}}-\frac{B b d \,e^{2} x}{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} c^{2}}+\frac{2 B \,d^{3} x}{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} b}-\frac{2 B \,d^{2} e x}{\left(c \,x^{2}+b x \right)^{\frac{3}{2}} c}+\frac{2 A \,e^{3} x}{3 \sqrt{c \,x^{2}+b x}\, b c}-\frac{2 A \,d^{3}}{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} b}+\frac{4 A d \,e^{2} x}{\sqrt{c \,x^{2}+b x}\, b^{2}}-\frac{16 A c \,d^{2} e x}{\sqrt{c \,x^{2}+b x}\, b^{3}}+\frac{32 A \,c^{2} d^{3} x}{3 \sqrt{c \,x^{2}+b x}\, b^{4}}+\frac{2 B d \,e^{2} x}{\sqrt{c \,x^{2}+b x}\, b c}+\frac{4 B \,d^{2} e x}{\sqrt{c \,x^{2}+b x}\, b^{2}}-\frac{16 B c \,d^{3} x}{3 \sqrt{c \,x^{2}+b x}\, b^{3}}-\frac{7 B \,e^{3} x}{3 \sqrt{c \,x^{2}+b x}\, c^{2}}+\frac{B \,e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{c^{\frac{5}{2}}}+\frac{2 A d \,e^{2}}{\sqrt{c \,x^{2}+b x}\, b c}-\frac{8 A \,d^{2} e}{\sqrt{c \,x^{2}+b x}\, b^{2}}+\frac{16 A c \,d^{3}}{3 \sqrt{c \,x^{2}+b x}\, b^{3}}+\frac{A \,e^{3}}{3 \sqrt{c \,x^{2}+b x}\, c^{2}}-\frac{B b \,e^{3}}{6 \sqrt{c \,x^{2}+b x}\, c^{3}}+\frac{2 B \,d^{2} e}{\sqrt{c \,x^{2}+b x}\, b c}-\frac{8 B \,d^{3}}{3 \sqrt{c \,x^{2}+b x}\, b^{2}}+\frac{B d \,e^{2}}{\sqrt{c \,x^{2}+b x}\, c^{2}}"," ",0,"2/3/b/c/(c*x^2+b*x)^(1/2)*x*A*e^3-2/c/(c*x^2+b*x)^(3/2)*x*B*d^2*e-2/c/(c*x^2+b*x)^(3/2)*x*A*d*e^2+4/b^2/(c*x^2+b*x)^(1/2)*x*A*d*e^2+2/b/c/(c*x^2+b*x)^(1/2)*A*d*e^2+2/b/c/(c*x^2+b*x)^(1/2)*B*d^2*e+4/b^2/(c*x^2+b*x)^(1/2)*x*B*d^2*e-b/c^2/(c*x^2+b*x)^(3/2)*x*B*d*e^2+2/b/c/(c*x^2+b*x)^(1/2)*x*B*d*e^2-16/b^3*c/(c*x^2+b*x)^(1/2)*x*A*d^2*e-x^2/c/(c*x^2+b*x)^(3/2)*A*e^3+16/3*A*d^3*c/b^3/(c*x^2+b*x)^(1/2)-1/3*B*e^3*x^3/c/(c*x^2+b*x)^(3/2)-2/3*A*d^3/b/(c*x^2+b*x)^(3/2)-8/3/b^2/(c*x^2+b*x)^(1/2)*B*d^3+1/3/c^2/(c*x^2+b*x)^(1/2)*A*e^3+B*e^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x)^(1/2))-1/6*B*e^3*b/c^3/(c*x^2+b*x)^(1/2)-7/3*B*e^3/c^2/(c*x^2+b*x)^(1/2)*x+1/c^2/(c*x^2+b*x)^(1/2)*B*d*e^2+2/3/b/(c*x^2+b*x)^(3/2)*x*B*d^3-8/b^2/(c*x^2+b*x)^(1/2)*A*d^2*e-3*x^2/c/(c*x^2+b*x)^(3/2)*B*d*e^2-1/3*b/c^2/(c*x^2+b*x)^(3/2)*x*A*e^3+1/6*B*e^3*b^2/c^3/(c*x^2+b*x)^(3/2)*x+1/2*B*e^3*b/c^2*x^2/(c*x^2+b*x)^(3/2)-16/3/b^3*c/(c*x^2+b*x)^(1/2)*x*B*d^3+2/b/(c*x^2+b*x)^(3/2)*x*A*d^2*e-4/3*A*d^3/b^2/(c*x^2+b*x)^(3/2)*c*x+32/3*A*d^3*c^2/b^4/(c*x^2+b*x)^(1/2)*x","B"
1208,1,197,84,0.054000," ","int((B*x+A)*(e*x+d)^2/(c*x^2+b*x)^(5/2),x)","-\frac{2 \left(c x +b \right) \left(-2 A \,b^{2} c \,e^{2} x^{3}+16 A b \,c^{2} d e \,x^{3}-16 A \,c^{3} d^{2} x^{3}-B \,b^{3} e^{2} x^{3}-4 B \,b^{2} c d e \,x^{3}+8 B b \,c^{2} d^{2} x^{3}-3 A \,b^{3} e^{2} x^{2}+24 A \,b^{2} c d e \,x^{2}-24 A b \,c^{2} d^{2} x^{2}-6 B \,b^{3} d e \,x^{2}+12 B \,b^{2} c \,d^{2} x^{2}+6 A \,b^{3} d e x -6 A \,b^{2} c \,d^{2} x +3 B \,b^{3} d^{2} x +A \,d^{2} b^{3}\right) x}{3 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} b^{4}}"," ",0,"-2/3*(c*x+b)*x*(-2*A*b^2*c*e^2*x^3+16*A*b*c^2*d*e*x^3-16*A*c^3*d^2*x^3-B*b^3*e^2*x^3-4*B*b^2*c*d*e*x^3+8*B*b*c^2*d^2*x^3-3*A*b^3*e^2*x^2+24*A*b^2*c*d*e*x^2-24*A*b*c^2*d^2*x^2-6*B*b^3*d*e*x^2+12*B*b^2*c*d^2*x^2+6*A*b^3*d*e*x-6*A*b^2*c*d^2*x+3*B*b^3*d^2*x+A*b^3*d^2)/b^4/(c*x^2+b*x)^(5/2)","B"
1209,1,141,103,0.052000," ","int((B*x+A)*(e*x+d)/(c*x^2+b*x)^(5/2),x)","-\frac{2 \left(c x +b \right) \left(8 A b \,c^{2} e \,x^{3}-16 A \,c^{3} d \,x^{3}-2 B \,b^{2} c e \,x^{3}+8 B b \,c^{2} d \,x^{3}+12 A \,b^{2} c e \,x^{2}-24 A b \,c^{2} d \,x^{2}-3 B \,b^{3} e \,x^{2}+12 B \,b^{2} c d \,x^{2}+3 A \,b^{3} e x -6 A \,b^{2} c d x +3 B \,b^{3} d x +A d \,b^{3}\right) x}{3 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} b^{4}}"," ",0,"-2/3*(c*x+b)*x*(8*A*b*c^2*e*x^3-16*A*c^3*d*x^3-2*B*b^2*c*e*x^3+8*B*b*c^2*d*x^3+12*A*b^2*c*e*x^2-24*A*b*c^2*d*x^2-3*B*b^3*e*x^2+12*B*b^2*c*d*x^2+3*A*b^3*e*x-6*A*b^2*c*d*x+3*B*b^3*d*x+A*b^3*d)/b^4/(c*x^2+b*x)^(5/2)","A"
1210,1,83,62,0.054000," ","int((B*x+A)/(c*x^2+b*x)^(5/2),x)","-\frac{2 \left(c x +b \right) \left(-16 A \,c^{3} x^{3}+8 B b \,c^{2} x^{3}-24 A b \,c^{2} x^{2}+12 B \,b^{2} c \,x^{2}-6 A \,b^{2} c x +3 B \,b^{3} x +A \,b^{3}\right) x}{3 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} b^{4}}"," ",0,"-2/3*(c*x+b)*x*(-16*A*c^3*x^3+8*B*b*c^2*x^3-24*A*b*c^2*x^2+12*B*b^2*c*x^2-6*A*b^2*c*x+3*B*b^3*x+A*b^3)/b^4/(c*x^2+b*x)^(5/2)","A"
1211,1,2000,267,0.055000," ","int((B*x+A)/(e*x+d)/(c*x^2+b*x)^(5/2),x)","\frac{2 A c \,e^{3} x}{\left(b e -c d \right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b \,d^{2}}-\frac{4 A \,c^{2} e^{2} x}{\left(b e -c d \right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b^{2} d}-\frac{A \,e^{3} \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\left(b e -c d \right)^{2} \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, d^{2}}-\frac{2 B c \,e^{2} x}{\left(b e -c d \right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b d}+\frac{4 B \,c^{2} e x}{\left(b e -c d \right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b^{2}}+\frac{B \,e^{2} \ln \left(\frac{-\frac{2 \left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+2 \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}}{x +\frac{d}{e}}\right)}{\left(b e -c d \right)^{2} \sqrt{-\frac{\left(b e -c d \right) d}{e^{2}}}\, d}-\frac{2 A c \,e^{2}}{\left(b e -c d \right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b d}-\frac{2 A c e x}{3 \left(b e -c d \right) \left(\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}\right)^{\frac{3}{2}} b d}+\frac{4 A \,c^{2} x}{3 \left(b e -c d \right) \left(\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}\right)^{\frac{3}{2}} b^{2}}+\frac{2 A \,e^{3}}{\left(b e -c d \right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, d^{2}}+\frac{2 B c e}{\left(b e -c d \right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b}+\frac{2 B c x}{3 \left(b e -c d \right) \left(\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}\right)^{\frac{3}{2}} b}-\frac{4 B \,c^{2} d x}{3 \left(b e -c d \right) \left(\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}\right)^{\frac{3}{2}} b^{2} e}-\frac{2 B \,e^{2}}{\left(b e -c d \right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, d}+\frac{2 A c}{3 \left(b e -c d \right) \left(\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}\right)^{\frac{3}{2}} b}+\frac{16 A \,c^{2} e x}{3 \left(b e -c d \right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b^{3} d}-\frac{32 A \,c^{3} x}{3 \left(b e -c d \right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b^{4}}-\frac{2 A e}{3 \left(b e -c d \right) \left(\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}\right)^{\frac{3}{2}} d}-\frac{2 B c d}{3 \left(b e -c d \right) \left(\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}\right)^{\frac{3}{2}} b e}-\frac{16 B \,c^{2} x}{3 \left(b e -c d \right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b^{3}}+\frac{32 B \,c^{3} d x}{3 \left(b e -c d \right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b^{4} e}+\frac{2 B}{3 \left(b e -c d \right) \left(\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}\right)^{\frac{3}{2}}}+\frac{8 A c e}{3 \left(b e -c d \right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b^{2} d}-\frac{16 A \,c^{2}}{3 \left(b e -c d \right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b^{3}}-\frac{4 B c x}{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} b^{2} e}-\frac{8 B c}{3 \left(b e -c d \right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b^{2}}+\frac{16 B \,c^{2} d}{3 \left(b e -c d \right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c -\frac{\left(b e -c d \right) d}{e^{2}}+\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}}\, b^{3} e}-\frac{2 B}{3 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} b e}+\frac{32 B \,c^{2} x}{3 \sqrt{c \,x^{2}+b x}\, b^{4} e}+\frac{16 B c}{3 \sqrt{c \,x^{2}+b x}\, b^{3} e}"," ",0,"32/3/e/(b*e-c*d)*c^3/b^4/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*B*d+16/3*e/(b*e-c*d)/d*c^2/b^3/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*A-2*e^2/(b*e-c*d)^2/d/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*B+2*e^3/(b*e-c*d)^2/d^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*A+16/3*B/e*c/b^3/(c*x^2+b*x)^(1/2)+2/3/(b*e-c*d)/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*c*A-2/3*B/e/b/(c*x^2+b*x)^(3/2)-8/3/(b*e-c*d)*c/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*B-e^3/(b*e-c*d)^2/d^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*A+e^2/(b*e-c*d)^2/d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*B+2*e/(b*e-c*d)^2/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c*B+32/3*B/e*c^2/b^4/(c*x^2+b*x)^(1/2)*x-4/3*B/e/b^2/(c*x^2+b*x)^(3/2)*c*x-4/3/e/(b*e-c*d)/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*c^2*x*B*d-4*e^2/(b*e-c*d)^2/d/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c^2*A-2*e^2/(b*e-c*d)^2/d/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c*B+4*e/(b*e-c*d)^2/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c^2*B-2*e^2/(b*e-c*d)^2/d/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c*A-2/3/e/(b*e-c*d)/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*c*B*d+2*e^3/(b*e-c*d)^2/d^2/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c*A-2/3*e/(b*e-c*d)/d/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*c*x*A-2/3*e/(b*e-c*d)/d/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*A-16/3/(b*e-c*d)*c^2/b^3/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*B+2/3/(b*e-c*d)/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*c*x*B-32/3/(b*e-c*d)*c^3/b^4/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*A+2/3/(b*e-c*d)/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*B+4/3/(b*e-c*d)/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*c^2*x*A-16/3/(b*e-c*d)*c^2/b^3/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*A+16/3/e/(b*e-c*d)*c^2/b^3/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*B*d+8/3*e/(b*e-c*d)/d*c/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*A","B"
1212,1,4295,423,0.069000," ","int((B*x+A)/(e*x+d)^2/(c*x^2+b*x)^(5/2),x)","\text{output too large to display}"," ",0,"20/3*e/(b*e-c*d)^2/d/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*c^2*x*A-20*e^3/(b*e-c*d)^3/d^2/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c^2*A+20*e^2/(b*e-c*d)^3/d/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c^2*B+20*e^2/(b*e-c*d)^3/d/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c^3*A-160/3*e/(b*e-c*d)^2/d*c^3/b^3/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*A+2*B*e^2/(b*e-c*d)^2/d^2/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c-160/3/e/(b*e-c*d)^2*c^4/b^4/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*B*d+20/3/e/(b*e-c*d)^2/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*c^3*x*B*d+40/3*e^2/(b*e-c*d)^2/d^2*c^2/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*A-52/3*e/(b*e-c*d)^2/d*c^2/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*B-5/(b*e-c*d)^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*c*B-2/3*B/(b*e-c*d)/d/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)-10/3/(b*e-c*d)^2/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*c^2*A+1/(b*e-c*d)/d/(x+d/e)/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*A+64/3*c^2/(b*e-c*d)/d/b^3/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*A+160/3/(b*e-c*d)^2*c^3/b^3/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*B+160/3/(b*e-c*d)^2*c^4/b^4/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*A-20/3/(b*e-c*d)^2/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*c^2*x*B-15*e^3/(b*e-c*d)^3/d^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c*A+15*e^2/(b*e-c*d)^3/d/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c*B-5/3*e^2/(b*e-c*d)^2/d^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*b*A-1/e/(b*e-c*d)/(x+d/e)/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*B+80/3/(b*e-c*d)^2*c^2/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*B+80/3/(b*e-c*d)^2*c^3/b^3/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*A+2*B*e^2/(b*e-c*d)^2/d^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)+5/3*e/(b*e-c*d)^2/d/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*b*B+5*e/(b*e-c*d)^2/d/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*c*A+5*e^4/(b*e-c*d)^3/d^3/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b*A-5*e^3/(b*e-c*d)^3/d^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*b*B-10*e/(b*e-c*d)^3/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c^2*B+10/3/e*c/(b*e-c*d)/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*B-80/3/e*c^2/(b*e-c*d)/b^3/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*B-20/3/(b*e-c*d)^2/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*c^3*x*A-8/3*c/(b*e-c*d)/d/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*A+8/3*B/(b*e-c*d)/d*c/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)-B*e^2/(b*e-c*d)^2/d^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))+20/3*e^2/(b*e-c*d)^2/d^2*c/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*A-5/2*e^4/(b*e-c*d)^3/d^3/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*A+5/2*e^3/(b*e-c*d)^3/d^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*b*B-80/3/e/(b*e-c*d)^2*c^3/b^3/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*B*d+20/3/e*c^2/(b*e-c*d)/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*x*B+10*e^2/(b*e-c*d)^3/d/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*c^2*A-160/3/e*c^3/(b*e-c*d)/b^4/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*B+5*e^3/(b*e-c*d)^3/d^2/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c*A-5*e^2/(b*e-c*d)^3/d/(-(b*e-c*d)*d/e^2)^(1/2)*ln((-2*(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e+2*(-(b*e-c*d)*d/e^2)^(1/2)*((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2))/(x+d/e))*c*B+128/3*c^3/(b*e-c*d)/d/b^4/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*A-16/3*c^2/(b*e-c*d)/d/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*x*A-20*e/(b*e-c*d)^3/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c^3*B-26/3*e/(b*e-c*d)^2/d*c/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*B-80/3*e/(b*e-c*d)^2/d*c^2/b^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*A+10/3/e/(b*e-c*d)^2/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*c^2*B*d+16/3*B/(b*e-c*d)/d*c^2/b^3/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x-2/3*B/(b*e-c*d)/d/b/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*c*x-5/3*e^2/(b*e-c*d)^2/d^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*c*x*A+5/3*e/(b*e-c*d)^2/d/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(3/2)*c*x*B+5*e^4/(b*e-c*d)^3/d^3/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c*A-5*e^3/(b*e-c*d)^3/d^2/((x+d/e)^2*c-(b*e-c*d)*d/e^2+(b*e-2*c*d)*(x+d/e)/e)^(1/2)*x*c*B","B"
1213,1,121,110,0.049000," ","int((B*x+A)*(e*x+d)^(7/2)*(c*x^2+b*x),x)","-\frac{2 \left(e x +d \right)^{\frac{9}{2}} \left(-429 B c \,x^{3} e^{3}-495 A c \,e^{3} x^{2}-495 B b \,e^{3} x^{2}+198 B c d \,e^{2} x^{2}-585 A b \,e^{3} x +180 A c d \,e^{2} x +180 B b d \,e^{2} x -72 B c \,d^{2} e x +130 A b d \,e^{2}-40 A c \,d^{2} e -40 B b \,d^{2} e +16 B c \,d^{3}\right)}{6435 e^{4}}"," ",0,"-2/6435*(e*x+d)^(9/2)*(-429*B*c*e^3*x^3-495*A*c*e^3*x^2-495*B*b*e^3*x^2+198*B*c*d*e^2*x^2-585*A*b*e^3*x+180*A*c*d*e^2*x+180*B*b*d*e^2*x-72*B*c*d^2*e*x+130*A*b*d*e^2-40*A*c*d^2*e-40*B*b*d^2*e+16*B*c*d^3)/e^4","A"
1214,1,121,110,0.046000," ","int((B*x+A)*(e*x+d)^(5/2)*(c*x^2+b*x),x)","-\frac{2 \left(e x +d \right)^{\frac{7}{2}} \left(-693 B c \,x^{3} e^{3}-819 A c \,e^{3} x^{2}-819 B b \,e^{3} x^{2}+378 B c d \,e^{2} x^{2}-1001 A b \,e^{3} x +364 A c d \,e^{2} x +364 B b d \,e^{2} x -168 B c \,d^{2} e x +286 A b d \,e^{2}-104 A c \,d^{2} e -104 B b \,d^{2} e +48 B c \,d^{3}\right)}{9009 e^{4}}"," ",0,"-2/9009*(e*x+d)^(7/2)*(-693*B*c*e^3*x^3-819*A*c*e^3*x^2-819*B*b*e^3*x^2+378*B*c*d*e^2*x^2-1001*A*b*e^3*x+364*A*c*d*e^2*x+364*B*b*d*e^2*x-168*B*c*d^2*e*x+286*A*b*d*e^2-104*A*c*d^2*e-104*B*b*d^2*e+48*B*c*d^3)/e^4","A"
1215,1,121,110,0.049000," ","int((B*x+A)*(e*x+d)^(3/2)*(c*x^2+b*x),x)","-\frac{2 \left(e x +d \right)^{\frac{5}{2}} \left(-315 B c \,x^{3} e^{3}-385 A c \,e^{3} x^{2}-385 B b \,e^{3} x^{2}+210 B c d \,e^{2} x^{2}-495 A b \,e^{3} x +220 A c d \,e^{2} x +220 B b d \,e^{2} x -120 B c \,d^{2} e x +198 A b d \,e^{2}-88 A c \,d^{2} e -88 B b \,d^{2} e +48 B c \,d^{3}\right)}{3465 e^{4}}"," ",0,"-2/3465*(e*x+d)^(5/2)*(-315*B*c*e^3*x^3-385*A*c*e^3*x^2-385*B*b*e^3*x^2+210*B*c*d*e^2*x^2-495*A*b*e^3*x+220*A*c*d*e^2*x+220*B*b*d*e^2*x-120*B*c*d^2*e*x+198*A*b*d*e^2-88*A*c*d^2*e-88*B*b*d^2*e+48*B*c*d^3)/e^4","A"
1216,1,121,110,0.045000," ","int((B*x+A)*(e*x+d)^(1/2)*(c*x^2+b*x),x)","-\frac{2 \left(e x +d \right)^{\frac{3}{2}} \left(-35 B c \,x^{3} e^{3}-45 A c \,e^{3} x^{2}-45 B b \,e^{3} x^{2}+30 B c d \,e^{2} x^{2}-63 A b \,e^{3} x +36 A c d \,e^{2} x +36 B b d \,e^{2} x -24 B c \,d^{2} e x +42 A b d \,e^{2}-24 A c \,d^{2} e -24 B b \,d^{2} e +16 B c \,d^{3}\right)}{315 e^{4}}"," ",0,"-2/315*(e*x+d)^(3/2)*(-35*B*c*e^3*x^3-45*A*c*e^3*x^2-45*B*b*e^3*x^2+30*B*c*d*e^2*x^2-63*A*b*e^3*x+36*A*c*d*e^2*x+36*B*b*d*e^2*x-24*B*c*d^2*e*x+42*A*b*d*e^2-24*A*c*d^2*e-24*B*b*d^2*e+16*B*c*d^3)/e^4","A"
1217,1,121,110,0.048000," ","int((B*x+A)*(c*x^2+b*x)/(e*x+d)^(1/2),x)","-\frac{2 \left(-15 B c \,x^{3} e^{3}-21 A c \,e^{3} x^{2}-21 B b \,e^{3} x^{2}+18 B c d \,e^{2} x^{2}-35 A b \,e^{3} x +28 A c d \,e^{2} x +28 B b d \,e^{2} x -24 B c \,d^{2} e x +70 A b d \,e^{2}-56 A c \,d^{2} e -56 B b \,d^{2} e +48 B c \,d^{3}\right) \sqrt{e x +d}}{105 e^{4}}"," ",0,"-2/105*(-15*B*c*e^3*x^3-21*A*c*e^3*x^2-21*B*b*e^3*x^2+18*B*c*d*e^2*x^2-35*A*b*e^3*x+28*A*c*d*e^2*x+28*B*b*d*e^2*x-24*B*c*d^2*e*x+70*A*b*d*e^2-56*A*c*d^2*e-56*B*b*d^2*e+48*B*c*d^3)*(e*x+d)^(1/2)/e^4","A"
1218,1,121,110,0.057000," ","int((B*x+A)*(c*x^2+b*x)/(e*x+d)^(3/2),x)","\frac{\frac{2}{5} B c \,x^{3} e^{3}+\frac{2}{3} A c \,e^{3} x^{2}+\frac{2}{3} B b \,e^{3} x^{2}-\frac{4}{5} B c d \,e^{2} x^{2}+2 A b \,e^{3} x -\frac{8}{3} A c d \,e^{2} x -\frac{8}{3} B b d \,e^{2} x +\frac{16}{5} B c \,d^{2} e x +4 A b d \,e^{2}-\frac{16}{3} A c \,d^{2} e -\frac{16}{3} B b \,d^{2} e +\frac{32}{5} B c \,d^{3}}{\sqrt{e x +d}\, e^{4}}"," ",0,"2/15*(3*B*c*e^3*x^3+5*A*c*e^3*x^2+5*B*b*e^3*x^2-6*B*c*d*e^2*x^2+15*A*b*e^3*x-20*A*c*d*e^2*x-20*B*b*d*e^2*x+24*B*c*d^2*e*x+30*A*b*d*e^2-40*A*c*d^2*e-40*B*b*d^2*e+48*B*c*d^3)/(e*x+d)^(1/2)/e^4","A"
1219,1,121,110,0.049000," ","int((B*x+A)*(c*x^2+b*x)/(e*x+d)^(5/2),x)","-\frac{2 \left(-B c \,x^{3} e^{3}-3 A c \,e^{3} x^{2}-3 B b \,e^{3} x^{2}+6 B c d \,e^{2} x^{2}+3 A b \,e^{3} x -12 A c d \,e^{2} x -12 B b d \,e^{2} x +24 B c \,d^{2} e x +2 A b d \,e^{2}-8 A c \,d^{2} e -8 B b \,d^{2} e +16 B c \,d^{3}\right)}{3 \left(e x +d \right)^{\frac{3}{2}} e^{4}}"," ",0,"-2/3*(-B*c*e^3*x^3-3*A*c*e^3*x^2-3*B*b*e^3*x^2+6*B*c*d*e^2*x^2+3*A*b*e^3*x-12*A*c*d*e^2*x-12*B*b*d*e^2*x+24*B*c*d^2*e*x+2*A*b*d*e^2-8*A*c*d^2*e-8*B*b*d^2*e+16*B*c*d^3)/(e*x+d)^(3/2)/e^4","A"
1220,1,121,110,0.047000," ","int((B*x+A)*(c*x^2+b*x)/(e*x+d)^(7/2),x)","-\frac{2 \left(-15 B c \,x^{3} e^{3}+15 A c \,e^{3} x^{2}+15 B b \,e^{3} x^{2}-90 B c d \,e^{2} x^{2}+5 A b \,e^{3} x +20 A c d \,e^{2} x +20 B b d \,e^{2} x -120 B c \,d^{2} e x +2 A b d \,e^{2}+8 A c \,d^{2} e +8 B b \,d^{2} e -48 B c \,d^{3}\right)}{15 \left(e x +d \right)^{\frac{5}{2}} e^{4}}"," ",0,"-2/15*(-15*B*c*e^3*x^3+15*A*c*e^3*x^2+15*B*b*e^3*x^2-90*B*c*d*e^2*x^2+5*A*b*e^3*x+20*A*c*d*e^2*x+20*B*b*d*e^2*x-120*B*c*d^2*e*x+2*A*b*d*e^2+8*A*c*d^2*e+8*B*b*d^2*e-48*B*c*d^3)/(e*x+d)^(5/2)/e^4","A"
1221,1,341,243,0.072000," ","int((B*x+A)*(e*x+d)^(7/2)*(c*x^2+b*x)^2,x)","\frac{2 \left(e x +d \right)^{\frac{9}{2}} \left(109395 B \,c^{2} x^{5} e^{5}+122265 A \,c^{2} e^{5} x^{4}+244530 B b c \,e^{5} x^{4}-64350 B \,c^{2} d \,e^{4} x^{4}+277134 A b c \,e^{5} x^{3}-65208 A \,c^{2} d \,e^{4} x^{3}+138567 B \,b^{2} e^{5} x^{3}-130416 B b c d \,e^{4} x^{3}+34320 B \,c^{2} d^{2} e^{3} x^{3}+159885 A \,b^{2} e^{5} x^{2}-127908 A b c d \,e^{4} x^{2}+30096 A \,c^{2} d^{2} e^{3} x^{2}-63954 B \,b^{2} d \,e^{4} x^{2}+60192 B b c \,d^{2} e^{3} x^{2}-15840 B \,c^{2} d^{3} e^{2} x^{2}-58140 A \,b^{2} d \,e^{4} x +46512 A b c \,d^{2} e^{3} x -10944 A \,c^{2} d^{3} e^{2} x +23256 B \,b^{2} d^{2} e^{3} x -21888 B b c \,d^{3} e^{2} x +5760 B \,c^{2} d^{4} e x +12920 A \,b^{2} d^{2} e^{3}-10336 A b c \,d^{3} e^{2}+2432 A \,c^{2} d^{4} e -5168 B \,b^{2} d^{3} e^{2}+4864 B b c \,d^{4} e -1280 B \,c^{2} d^{5}\right)}{2078505 e^{6}}"," ",0,"2/2078505*(e*x+d)^(9/2)*(109395*B*c^2*e^5*x^5+122265*A*c^2*e^5*x^4+244530*B*b*c*e^5*x^4-64350*B*c^2*d*e^4*x^4+277134*A*b*c*e^5*x^3-65208*A*c^2*d*e^4*x^3+138567*B*b^2*e^5*x^3-130416*B*b*c*d*e^4*x^3+34320*B*c^2*d^2*e^3*x^3+159885*A*b^2*e^5*x^2-127908*A*b*c*d*e^4*x^2+30096*A*c^2*d^2*e^3*x^2-63954*B*b^2*d*e^4*x^2+60192*B*b*c*d^2*e^3*x^2-15840*B*c^2*d^3*e^2*x^2-58140*A*b^2*d*e^4*x+46512*A*b*c*d^2*e^3*x-10944*A*c^2*d^3*e^2*x+23256*B*b^2*d^2*e^3*x-21888*B*b*c*d^3*e^2*x+5760*B*c^2*d^4*e*x+12920*A*b^2*d^2*e^3-10336*A*b*c*d^3*e^2+2432*A*c^2*d^4*e-5168*B*b^2*d^3*e^2+4864*B*b*c*d^4*e-1280*B*c^2*d^5)/e^6","A"
1222,1,341,243,0.051000," ","int((B*x+A)*(e*x+d)^(5/2)*(c*x^2+b*x)^2,x)","\frac{2 \left(e x +d \right)^{\frac{7}{2}} \left(45045 B \,c^{2} x^{5} e^{5}+51051 A \,c^{2} e^{5} x^{4}+102102 B b c \,e^{5} x^{4}-30030 B \,c^{2} d \,e^{4} x^{4}+117810 A b c \,e^{5} x^{3}-31416 A \,c^{2} d \,e^{4} x^{3}+58905 B \,b^{2} e^{5} x^{3}-62832 B b c d \,e^{4} x^{3}+18480 B \,c^{2} d^{2} e^{3} x^{3}+69615 A \,b^{2} e^{5} x^{2}-64260 A b c d \,e^{4} x^{2}+17136 A \,c^{2} d^{2} e^{3} x^{2}-32130 B \,b^{2} d \,e^{4} x^{2}+34272 B b c \,d^{2} e^{3} x^{2}-10080 B \,c^{2} d^{3} e^{2} x^{2}-30940 A \,b^{2} d \,e^{4} x +28560 A b c \,d^{2} e^{3} x -7616 A \,c^{2} d^{3} e^{2} x +14280 B \,b^{2} d^{2} e^{3} x -15232 B b c \,d^{3} e^{2} x +4480 B \,c^{2} d^{4} e x +8840 A \,b^{2} d^{2} e^{3}-8160 A b c \,d^{3} e^{2}+2176 A \,c^{2} d^{4} e -4080 B \,b^{2} d^{3} e^{2}+4352 B b c \,d^{4} e -1280 B \,c^{2} d^{5}\right)}{765765 e^{6}}"," ",0,"2/765765*(e*x+d)^(7/2)*(45045*B*c^2*e^5*x^5+51051*A*c^2*e^5*x^4+102102*B*b*c*e^5*x^4-30030*B*c^2*d*e^4*x^4+117810*A*b*c*e^5*x^3-31416*A*c^2*d*e^4*x^3+58905*B*b^2*e^5*x^3-62832*B*b*c*d*e^4*x^3+18480*B*c^2*d^2*e^3*x^3+69615*A*b^2*e^5*x^2-64260*A*b*c*d*e^4*x^2+17136*A*c^2*d^2*e^3*x^2-32130*B*b^2*d*e^4*x^2+34272*B*b*c*d^2*e^3*x^2-10080*B*c^2*d^3*e^2*x^2-30940*A*b^2*d*e^4*x+28560*A*b*c*d^2*e^3*x-7616*A*c^2*d^3*e^2*x+14280*B*b^2*d^2*e^3*x-15232*B*b*c*d^3*e^2*x+4480*B*c^2*d^4*e*x+8840*A*b^2*d^2*e^3-8160*A*b*c*d^3*e^2+2176*A*c^2*d^4*e-4080*B*b^2*d^3*e^2+4352*B*b*c*d^4*e-1280*B*c^2*d^5)/e^6","A"
1223,1,341,243,0.047000," ","int((B*x+A)*(e*x+d)^(3/2)*(c*x^2+b*x)^2,x)","\frac{2 \left(e x +d \right)^{\frac{5}{2}} \left(3003 B \,c^{2} x^{5} e^{5}+3465 A \,c^{2} e^{5} x^{4}+6930 B b c \,e^{5} x^{4}-2310 B \,c^{2} d \,e^{4} x^{4}+8190 A b c \,e^{5} x^{3}-2520 A \,c^{2} d \,e^{4} x^{3}+4095 B \,b^{2} e^{5} x^{3}-5040 B b c d \,e^{4} x^{3}+1680 B \,c^{2} d^{2} e^{3} x^{3}+5005 A \,b^{2} e^{5} x^{2}-5460 A b c d \,e^{4} x^{2}+1680 A \,c^{2} d^{2} e^{3} x^{2}-2730 B \,b^{2} d \,e^{4} x^{2}+3360 B b c \,d^{2} e^{3} x^{2}-1120 B \,c^{2} d^{3} e^{2} x^{2}-2860 A \,b^{2} d \,e^{4} x +3120 A b c \,d^{2} e^{3} x -960 A \,c^{2} d^{3} e^{2} x +1560 B \,b^{2} d^{2} e^{3} x -1920 B b c \,d^{3} e^{2} x +640 B \,c^{2} d^{4} e x +1144 A \,b^{2} d^{2} e^{3}-1248 A b c \,d^{3} e^{2}+384 A \,c^{2} d^{4} e -624 B \,b^{2} d^{3} e^{2}+768 B b c \,d^{4} e -256 B \,c^{2} d^{5}\right)}{45045 e^{6}}"," ",0,"2/45045*(e*x+d)^(5/2)*(3003*B*c^2*e^5*x^5+3465*A*c^2*e^5*x^4+6930*B*b*c*e^5*x^4-2310*B*c^2*d*e^4*x^4+8190*A*b*c*e^5*x^3-2520*A*c^2*d*e^4*x^3+4095*B*b^2*e^5*x^3-5040*B*b*c*d*e^4*x^3+1680*B*c^2*d^2*e^3*x^3+5005*A*b^2*e^5*x^2-5460*A*b*c*d*e^4*x^2+1680*A*c^2*d^2*e^3*x^2-2730*B*b^2*d*e^4*x^2+3360*B*b*c*d^2*e^3*x^2-1120*B*c^2*d^3*e^2*x^2-2860*A*b^2*d*e^4*x+3120*A*b*c*d^2*e^3*x-960*A*c^2*d^3*e^2*x+1560*B*b^2*d^2*e^3*x-1920*B*b*c*d^3*e^2*x+640*B*c^2*d^4*e*x+1144*A*b^2*d^2*e^3-1248*A*b*c*d^3*e^2+384*A*c^2*d^4*e-624*B*b^2*d^3*e^2+768*B*b*c*d^4*e-256*B*c^2*d^5)/e^6","A"
1224,1,341,243,0.050000," ","int((B*x+A)*(e*x+d)^(1/2)*(c*x^2+b*x)^2,x)","\frac{2 \left(e x +d \right)^{\frac{3}{2}} \left(3465 B \,c^{2} x^{5} e^{5}+4095 A \,c^{2} e^{5} x^{4}+8190 B b c \,e^{5} x^{4}-3150 B \,c^{2} d \,e^{4} x^{4}+10010 A b c \,e^{5} x^{3}-3640 A \,c^{2} d \,e^{4} x^{3}+5005 B \,b^{2} e^{5} x^{3}-7280 B b c d \,e^{4} x^{3}+2800 B \,c^{2} d^{2} e^{3} x^{3}+6435 A \,b^{2} e^{5} x^{2}-8580 A b c d \,e^{4} x^{2}+3120 A \,c^{2} d^{2} e^{3} x^{2}-4290 B \,b^{2} d \,e^{4} x^{2}+6240 B b c \,d^{2} e^{3} x^{2}-2400 B \,c^{2} d^{3} e^{2} x^{2}-5148 A \,b^{2} d \,e^{4} x +6864 A b c \,d^{2} e^{3} x -2496 A \,c^{2} d^{3} e^{2} x +3432 B \,b^{2} d^{2} e^{3} x -4992 B b c \,d^{3} e^{2} x +1920 B \,c^{2} d^{4} e x +3432 A \,b^{2} d^{2} e^{3}-4576 A b c \,d^{3} e^{2}+1664 A \,c^{2} d^{4} e -2288 B \,b^{2} d^{3} e^{2}+3328 B b c \,d^{4} e -1280 B \,c^{2} d^{5}\right)}{45045 e^{6}}"," ",0,"2/45045*(e*x+d)^(3/2)*(3465*B*c^2*e^5*x^5+4095*A*c^2*e^5*x^4+8190*B*b*c*e^5*x^4-3150*B*c^2*d*e^4*x^4+10010*A*b*c*e^5*x^3-3640*A*c^2*d*e^4*x^3+5005*B*b^2*e^5*x^3-7280*B*b*c*d*e^4*x^3+2800*B*c^2*d^2*e^3*x^3+6435*A*b^2*e^5*x^2-8580*A*b*c*d*e^4*x^2+3120*A*c^2*d^2*e^3*x^2-4290*B*b^2*d*e^4*x^2+6240*B*b*c*d^2*e^3*x^2-2400*B*c^2*d^3*e^2*x^2-5148*A*b^2*d*e^4*x+6864*A*b*c*d^2*e^3*x-2496*A*c^2*d^3*e^2*x+3432*B*b^2*d^2*e^3*x-4992*B*b*c*d^3*e^2*x+1920*B*c^2*d^4*e*x+3432*A*b^2*d^2*e^3-4576*A*b*c*d^3*e^2+1664*A*c^2*d^4*e-2288*B*b^2*d^3*e^2+3328*B*b*c*d^4*e-1280*B*c^2*d^5)/e^6","A"
1225,1,341,243,0.054000," ","int((B*x+A)*(c*x^2+b*x)^2/(e*x+d)^(1/2),x)","\frac{2 \left(315 B \,c^{2} x^{5} e^{5}+385 A \,c^{2} e^{5} x^{4}+770 B b c \,e^{5} x^{4}-350 B \,c^{2} d \,e^{4} x^{4}+990 A b c \,e^{5} x^{3}-440 A \,c^{2} d \,e^{4} x^{3}+495 B \,b^{2} e^{5} x^{3}-880 B b c d \,e^{4} x^{3}+400 B \,c^{2} d^{2} e^{3} x^{3}+693 A \,b^{2} e^{5} x^{2}-1188 A b c d \,e^{4} x^{2}+528 A \,c^{2} d^{2} e^{3} x^{2}-594 B \,b^{2} d \,e^{4} x^{2}+1056 B b c \,d^{2} e^{3} x^{2}-480 B \,c^{2} d^{3} e^{2} x^{2}-924 A \,b^{2} d \,e^{4} x +1584 A b c \,d^{2} e^{3} x -704 A \,c^{2} d^{3} e^{2} x +792 B \,b^{2} d^{2} e^{3} x -1408 B b c \,d^{3} e^{2} x +640 B \,c^{2} d^{4} e x +1848 A \,b^{2} d^{2} e^{3}-3168 A b c \,d^{3} e^{2}+1408 A \,c^{2} d^{4} e -1584 B \,b^{2} d^{3} e^{2}+2816 B b c \,d^{4} e -1280 B \,c^{2} d^{5}\right) \sqrt{e x +d}}{3465 e^{6}}"," ",0,"2/3465*(315*B*c^2*e^5*x^5+385*A*c^2*e^5*x^4+770*B*b*c*e^5*x^4-350*B*c^2*d*e^4*x^4+990*A*b*c*e^5*x^3-440*A*c^2*d*e^4*x^3+495*B*b^2*e^5*x^3-880*B*b*c*d*e^4*x^3+400*B*c^2*d^2*e^3*x^3+693*A*b^2*e^5*x^2-1188*A*b*c*d*e^4*x^2+528*A*c^2*d^2*e^3*x^2-594*B*b^2*d*e^4*x^2+1056*B*b*c*d^2*e^3*x^2-480*B*c^2*d^3*e^2*x^2-924*A*b^2*d*e^4*x+1584*A*b*c*d^2*e^3*x-704*A*c^2*d^3*e^2*x+792*B*b^2*d^2*e^3*x-1408*B*b*c*d^3*e^2*x+640*B*c^2*d^4*e*x+1848*A*b^2*d^2*e^3-3168*A*b*c*d^3*e^2+1408*A*c^2*d^4*e-1584*B*b^2*d^3*e^2+2816*B*b*c*d^4*e-1280*B*c^2*d^5)*(e*x+d)^(1/2)/e^6","A"
1226,1,341,243,0.053000," ","int((B*x+A)*(c*x^2+b*x)^2/(e*x+d)^(3/2),x)","-\frac{2 \left(-35 B \,c^{2} x^{5} e^{5}-45 A \,c^{2} e^{5} x^{4}-90 B b c \,e^{5} x^{4}+50 B \,c^{2} d \,e^{4} x^{4}-126 A b c \,e^{5} x^{3}+72 A \,c^{2} d \,e^{4} x^{3}-63 B \,b^{2} e^{5} x^{3}+144 B b c d \,e^{4} x^{3}-80 B \,c^{2} d^{2} e^{3} x^{3}-105 A \,b^{2} e^{5} x^{2}+252 A b c d \,e^{4} x^{2}-144 A \,c^{2} d^{2} e^{3} x^{2}+126 B \,b^{2} d \,e^{4} x^{2}-288 B b c \,d^{2} e^{3} x^{2}+160 B \,c^{2} d^{3} e^{2} x^{2}+420 A \,b^{2} d \,e^{4} x -1008 A b c \,d^{2} e^{3} x +576 A \,c^{2} d^{3} e^{2} x -504 B \,b^{2} d^{2} e^{3} x +1152 B b c \,d^{3} e^{2} x -640 B \,c^{2} d^{4} e x +840 A \,b^{2} d^{2} e^{3}-2016 A b c \,d^{3} e^{2}+1152 A \,c^{2} d^{4} e -1008 B \,b^{2} d^{3} e^{2}+2304 B b c \,d^{4} e -1280 B \,c^{2} d^{5}\right)}{315 \sqrt{e x +d}\, e^{6}}"," ",0,"-2/315*(-35*B*c^2*e^5*x^5-45*A*c^2*e^5*x^4-90*B*b*c*e^5*x^4+50*B*c^2*d*e^4*x^4-126*A*b*c*e^5*x^3+72*A*c^2*d*e^4*x^3-63*B*b^2*e^5*x^3+144*B*b*c*d*e^4*x^3-80*B*c^2*d^2*e^3*x^3-105*A*b^2*e^5*x^2+252*A*b*c*d*e^4*x^2-144*A*c^2*d^2*e^3*x^2+126*B*b^2*d*e^4*x^2-288*B*b*c*d^2*e^3*x^2+160*B*c^2*d^3*e^2*x^2+420*A*b^2*d*e^4*x-1008*A*b*c*d^2*e^3*x+576*A*c^2*d^3*e^2*x-504*B*b^2*d^2*e^3*x+1152*B*b*c*d^3*e^2*x-640*B*c^2*d^4*e*x+840*A*b^2*d^2*e^3-2016*A*b*c*d^3*e^2+1152*A*c^2*d^4*e-1008*B*b^2*d^3*e^2+2304*B*b*c*d^4*e-1280*B*c^2*d^5)/(e*x+d)^(1/2)/e^6","A"
1227,1,341,243,0.064000," ","int((B*x+A)*(c*x^2+b*x)^2/(e*x+d)^(5/2),x)","\frac{\frac{512}{15} B b c \,d^{4} e -\frac{4}{7} B \,c^{2} d \,e^{4} x^{4}+2 A \,b^{2} e^{5} x^{2}+\frac{16}{3} A \,b^{2} d^{2} e^{3}+\frac{256}{15} A \,c^{2} d^{4} e -\frac{32}{3} B \,b^{2} d^{3} e^{2}+\frac{2}{3} B \,b^{2} e^{5} x^{3}+\frac{2}{5} A \,c^{2} e^{5} x^{4}+\frac{256}{5} B b c \,d^{3} e^{2} x -32 A b c \,d^{2} e^{3} x -8 A b c d \,e^{4} x^{2}+\frac{64}{5} B b c \,d^{2} e^{3} x^{2}-\frac{32}{15} B b c d \,e^{4} x^{3}+\frac{2}{7} B \,c^{2} x^{5} e^{5}-\frac{512}{21} B \,c^{2} d^{5}+\frac{32}{21} B \,c^{2} d^{2} e^{3} x^{3}+\frac{128}{5} A \,c^{2} d^{3} e^{2} x -16 B \,b^{2} d^{2} e^{3} x -\frac{16}{15} A \,c^{2} d \,e^{4} x^{3}+\frac{32}{5} A \,c^{2} d^{2} e^{3} x^{2}-4 B \,b^{2} d \,e^{4} x^{2}-\frac{64}{7} B \,c^{2} d^{3} e^{2} x^{2}+8 A \,b^{2} d \,e^{4} x +\frac{4}{5} B b c \,e^{5} x^{4}+\frac{4}{3} A b c \,e^{5} x^{3}-\frac{64}{3} A b c \,d^{3} e^{2}-\frac{256}{7} B \,c^{2} d^{4} e x}{\left(e x +d \right)^{\frac{3}{2}} e^{6}}"," ",0,"2/105*(15*B*c^2*e^5*x^5+21*A*c^2*e^5*x^4+42*B*b*c*e^5*x^4-30*B*c^2*d*e^4*x^4+70*A*b*c*e^5*x^3-56*A*c^2*d*e^4*x^3+35*B*b^2*e^5*x^3-112*B*b*c*d*e^4*x^3+80*B*c^2*d^2*e^3*x^3+105*A*b^2*e^5*x^2-420*A*b*c*d*e^4*x^2+336*A*c^2*d^2*e^3*x^2-210*B*b^2*d*e^4*x^2+672*B*b*c*d^2*e^3*x^2-480*B*c^2*d^3*e^2*x^2+420*A*b^2*d*e^4*x-1680*A*b*c*d^2*e^3*x+1344*A*c^2*d^3*e^2*x-840*B*b^2*d^2*e^3*x+2688*B*b*c*d^3*e^2*x-1920*B*c^2*d^4*e*x+280*A*b^2*d^2*e^3-1120*A*b*c*d^3*e^2+896*A*c^2*d^4*e-560*B*b^2*d^3*e^2+1792*B*b*c*d^4*e-1280*B*c^2*d^5)/(e*x+d)^(3/2)/e^6","A"
1228,1,341,243,0.057000," ","int((B*x+A)*(c*x^2+b*x)^2/(e*x+d)^(7/2),x)","-\frac{2 \left(-3 B \,c^{2} x^{5} e^{5}-5 A \,c^{2} e^{5} x^{4}-10 B b c \,e^{5} x^{4}+10 B \,c^{2} d \,e^{4} x^{4}-30 A b c \,e^{5} x^{3}+40 A \,c^{2} d \,e^{4} x^{3}-15 B \,b^{2} e^{5} x^{3}+80 B b c d \,e^{4} x^{3}-80 B \,c^{2} d^{2} e^{3} x^{3}+15 A \,b^{2} e^{5} x^{2}-180 A b c d \,e^{4} x^{2}+240 A \,c^{2} d^{2} e^{3} x^{2}-90 B \,b^{2} d \,e^{4} x^{2}+480 B b c \,d^{2} e^{3} x^{2}-480 B \,c^{2} d^{3} e^{2} x^{2}+20 A \,b^{2} d \,e^{4} x -240 A b c \,d^{2} e^{3} x +320 A \,c^{2} d^{3} e^{2} x -120 B \,b^{2} d^{2} e^{3} x +640 B b c \,d^{3} e^{2} x -640 B \,c^{2} d^{4} e x +8 A \,b^{2} d^{2} e^{3}-96 A b c \,d^{3} e^{2}+128 A \,c^{2} d^{4} e -48 B \,b^{2} d^{3} e^{2}+256 B b c \,d^{4} e -256 B \,c^{2} d^{5}\right)}{15 \left(e x +d \right)^{\frac{5}{2}} e^{6}}"," ",0,"-2/15*(-3*B*c^2*e^5*x^5-5*A*c^2*e^5*x^4-10*B*b*c*e^5*x^4+10*B*c^2*d*e^4*x^4-30*A*b*c*e^5*x^3+40*A*c^2*d*e^4*x^3-15*B*b^2*e^5*x^3+80*B*b*c*d*e^4*x^3-80*B*c^2*d^2*e^3*x^3+15*A*b^2*e^5*x^2-180*A*b*c*d*e^4*x^2+240*A*c^2*d^2*e^3*x^2-90*B*b^2*d*e^4*x^2+480*B*b*c*d^2*e^3*x^2-480*B*c^2*d^3*e^2*x^2+20*A*b^2*d*e^4*x-240*A*b*c*d^2*e^3*x+320*A*c^2*d^3*e^2*x-120*B*b^2*d^2*e^3*x+640*B*b*c*d^3*e^2*x-640*B*c^2*d^4*e*x+8*A*b^2*d^2*e^3-96*A*b*c*d^3*e^2+128*A*c^2*d^4*e-48*B*b^2*d^3*e^2+256*B*b*c*d^4*e-256*B*c^2*d^5)/(e*x+d)^(5/2)/e^6","A"
1229,1,741,198,0.115000," ","int((B*x+A)*(e*x+d)^(7/2)/(c*x^2+b*x),x)","-\frac{2 A \,b^{3} e^{4} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c^{3}}+\frac{8 A \,b^{2} d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c^{2}}-\frac{12 A b \,d^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c}-\frac{2 A c \,d^{4} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b}+\frac{8 A \,d^{3} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}}+\frac{2 B \,b^{4} e^{4} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c^{4}}-\frac{8 B \,b^{3} d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c^{3}}+\frac{12 B \,b^{2} d^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c^{2}}-\frac{8 B b \,d^{3} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c}+\frac{2 B \,d^{4} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}}-\frac{2 A \,d^{\frac{7}{2}} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b}+\frac{2 \sqrt{e x +d}\, A \,b^{2} e^{3}}{c^{3}}-\frac{6 \sqrt{e x +d}\, A b d \,e^{2}}{c^{2}}+\frac{6 \sqrt{e x +d}\, A \,d^{2} e}{c}-\frac{2 \sqrt{e x +d}\, B \,b^{3} e^{3}}{c^{4}}+\frac{6 \sqrt{e x +d}\, B \,b^{2} d \,e^{2}}{c^{3}}-\frac{6 \sqrt{e x +d}\, B b \,d^{2} e}{c^{2}}+\frac{2 \sqrt{e x +d}\, B \,d^{3}}{c}-\frac{2 \left(e x +d \right)^{\frac{3}{2}} A b \,e^{2}}{3 c^{2}}+\frac{4 \left(e x +d \right)^{\frac{3}{2}} A d e}{3 c}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} B \,b^{2} e^{2}}{3 c^{3}}-\frac{4 \left(e x +d \right)^{\frac{3}{2}} B b d e}{3 c^{2}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} B \,d^{2}}{3 c}+\frac{2 \left(e x +d \right)^{\frac{5}{2}} A e}{5 c}-\frac{2 \left(e x +d \right)^{\frac{5}{2}} B b e}{5 c^{2}}+\frac{2 \left(e x +d \right)^{\frac{5}{2}} B d}{5 c}+\frac{2 \left(e x +d \right)^{\frac{7}{2}} B}{7 c}"," ",0,"2/5/c*A*(e*x+d)^(5/2)*e+2/5/c*B*(e*x+d)^(5/2)*d+2/3/c*B*(e*x+d)^(3/2)*d^2+2/c*B*d^3*(e*x+d)^(1/2)+2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^4+8*b^2/c^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d*e^3-12*b/c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^2*e^2-8*b^3/c^3/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d*e^3+12*b^2/c^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^2*e^2-8*b/c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^3*e-2/5/c^2*B*(e*x+d)^(5/2)*b*e-2/3/c^2*A*(e*x+d)^(3/2)*b*e^2+4/3/c*A*(e*x+d)^(3/2)*d*e+2/3/c^3*B*(e*x+d)^(3/2)*b^2*e^2+2/c^3*A*b^2*e^3*(e*x+d)^(1/2)+6/c*A*d^2*e*(e*x+d)^(1/2)-2/c^4*B*b^3*e^3*(e*x+d)^(1/2)+8/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^3*e+2*b^4/c^4/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*e^4-4/3/c^2*B*(e*x+d)^(3/2)*b*d*e-6/c^2*A*b*d*e^2*(e*x+d)^(1/2)+6/c^3*B*b^2*d*e^2*(e*x+d)^(1/2)-6/c^2*B*b*d^2*e*(e*x+d)^(1/2)-2*b^3/c^3/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*e^4-2/b*c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^4+2/7*B*(e*x+d)^(7/2)/c-2*A*d^(7/2)*arctanh((e*x+d)^(1/2)/d^(1/2))/b","B"
1230,1,516,147,0.075000," ","int((B*x+A)*(e*x+d)^(5/2)/(c*x^2+b*x),x)","\frac{2 A \,b^{2} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c^{2}}-\frac{6 A b d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c}-\frac{2 A c \,d^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b}+\frac{6 A \,d^{2} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}}-\frac{2 B \,b^{3} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c^{3}}+\frac{6 B \,b^{2} d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c^{2}}-\frac{6 B b \,d^{2} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c}+\frac{2 B \,d^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}}-\frac{2 A \,d^{\frac{5}{2}} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b}-\frac{2 \sqrt{e x +d}\, A b \,e^{2}}{c^{2}}+\frac{4 \sqrt{e x +d}\, A d e}{c}+\frac{2 \sqrt{e x +d}\, B \,b^{2} e^{2}}{c^{3}}-\frac{4 \sqrt{e x +d}\, B b d e}{c^{2}}+\frac{2 \sqrt{e x +d}\, B \,d^{2}}{c}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} A e}{3 c}-\frac{2 \left(e x +d \right)^{\frac{3}{2}} B b e}{3 c^{2}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} B d}{3 c}+\frac{2 \left(e x +d \right)^{\frac{5}{2}} B}{5 c}"," ",0,"2/5*B*(e*x+d)^(5/2)/c+2/3/c*A*(e*x+d)^(3/2)*e-2/3/c^2*B*(e*x+d)^(3/2)*b*e+2/3/c*B*(e*x+d)^(3/2)*d-2/c^2*A*b*e^2*(e*x+d)^(1/2)+4/c*A*d*e*(e*x+d)^(1/2)+2/c^3*B*b^2*e^2*(e*x+d)^(1/2)-4/c^2*B*b*d*e*(e*x+d)^(1/2)+2/c*B*d^2*(e*x+d)^(1/2)+2/c^2*b^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*e^3-6/c*b/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d*e^2+6/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^2*e-2*c/b/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^3-2/c^3*b^3/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*e^3+6/c^2*b^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d*e^2-6/c*b/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^2*e+2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^3-2*A*d^(5/2)*arctanh((e*x+d)^(1/2)/d^(1/2))/b","B"
1231,1,335,109,0.088000," ","int((B*x+A)*(e*x+d)^(3/2)/(c*x^2+b*x),x)","-\frac{2 A b \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c}-\frac{2 A c \,d^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b}+\frac{4 A d e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}}+\frac{2 B \,b^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c^{2}}-\frac{4 B b d e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c}+\frac{2 B \,d^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}}-\frac{2 A \,d^{\frac{3}{2}} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b}+\frac{2 \sqrt{e x +d}\, A e}{c}-\frac{2 \sqrt{e x +d}\, B b e}{c^{2}}+\frac{2 \sqrt{e x +d}\, B d}{c}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} B}{3 c}"," ",0,"2/3*B*(e*x+d)^(3/2)/c+2/c*A*e*(e*x+d)^(1/2)-2/c^2*B*b*e*(e*x+d)^(1/2)+2/c*B*d*(e*x+d)^(1/2)-2*b/c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*e^2+4/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d*e-2/b*c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^2+2*b^2/c^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*e^2-4*b/c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d*e+2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^2-2*A*d^(3/2)*arctanh((e*x+d)^(1/2)/d^(1/2))/b","B"
1232,1,196,83,0.064000," ","int((B*x+A)*(e*x+d)^(1/2)/(c*x^2+b*x),x)","-\frac{2 A c d \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b}+\frac{2 A e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}}-\frac{2 B b e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c}+\frac{2 B d \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}}-\frac{2 A \sqrt{d}\, \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b}+\frac{2 \sqrt{e x +d}\, B}{c}"," ",0,"2*B*(e*x+d)^(1/2)/c+2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*e-2*c/b/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d-2/c*b/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*e+2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d-2*A*arctanh((e*x+d)^(1/2)/d^(1/2))*d^(1/2)/b","B"
1233,1,101,70,0.058000," ","int((B*x+A)/(e*x+d)^(1/2)/(c*x^2+b*x),x)","-\frac{2 A c \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b}+\frac{2 B \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}}-\frac{2 A \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b \sqrt{d}}"," ",0,"-2/b/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*c+2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B-2*A*arctanh((e*x+d)^(1/2)/d^(1/2))/b/d^(1/2)","A"
1234,1,168,100,0.066000," ","int((B*x+A)/(e*x+d)^(3/2)/(c*x^2+b*x),x)","\frac{2 A \,c^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right) \sqrt{\left(b e -c d \right) c}\, b}-\frac{2 B c \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right) \sqrt{\left(b e -c d \right) c}}+\frac{2 A e}{\left(b e -c d \right) \sqrt{e x +d}\, d}-\frac{2 B}{\left(b e -c d \right) \sqrt{e x +d}}-\frac{2 A \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b \,d^{\frac{3}{2}}}"," ",0,"2/(b*e-c*d)*c^2/b/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A-2/(b*e-c*d)*c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B-2*A*arctanh((e*x+d)^(1/2)/d^(1/2))/b/d^(3/2)+2/(b*e-c*d)/d/(e*x+d)^(1/2)*A*e-2/(b*e-c*d)/(e*x+d)^(1/2)*B","A"
1235,1,243,142,0.069000," ","int((B*x+A)/(e*x+d)^(5/2)/(c*x^2+b*x),x)","-\frac{2 A \,c^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{2} \sqrt{\left(b e -c d \right) c}\, b}+\frac{2 B \,c^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{2} \sqrt{\left(b e -c d \right) c}}+\frac{2 A b \,e^{2}}{\left(b e -c d \right)^{2} \sqrt{e x +d}\, d^{2}}-\frac{4 A c e}{\left(b e -c d \right)^{2} \sqrt{e x +d}\, d}+\frac{2 B c}{\left(b e -c d \right)^{2} \sqrt{e x +d}}+\frac{2 A e}{3 \left(b e -c d \right) \left(e x +d \right)^{\frac{3}{2}} d}-\frac{2 B}{3 \left(b e -c d \right) \left(e x +d \right)^{\frac{3}{2}}}-\frac{2 A \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b \,d^{\frac{5}{2}}}"," ",0,"-2/(b*e-c*d)^2*c^3/b/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A+2/(b*e-c*d)^2*c^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B-2*A*arctanh((e*x+d)^(1/2)/d^(1/2))/b/d^(5/2)+2/3/(b*e-c*d)/d/(e*x+d)^(3/2)*A*e-2/3/(b*e-c*d)/(e*x+d)^(3/2)*B+2/(b*e-c*d)^2/d^2/(e*x+d)^(1/2)*A*b*e^2-4/(b*e-c*d)^2/d/(e*x+d)^(1/2)*A*c*e+2/(b*e-c*d)^2/(e*x+d)^(1/2)*B*c","A"
1236,1,350,199,0.066000," ","int((B*x+A)/(e*x+d)^(7/2)/(c*x^2+b*x),x)","\frac{2 A \,c^{4} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{3} \sqrt{\left(b e -c d \right) c}\, b}-\frac{2 B \,c^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{3} \sqrt{\left(b e -c d \right) c}}+\frac{2 A \,b^{2} e^{3}}{\left(b e -c d \right)^{3} \sqrt{e x +d}\, d^{3}}-\frac{6 A b c \,e^{2}}{\left(b e -c d \right)^{3} \sqrt{e x +d}\, d^{2}}+\frac{6 A \,c^{2} e}{\left(b e -c d \right)^{3} \sqrt{e x +d}\, d}-\frac{2 B \,c^{2}}{\left(b e -c d \right)^{3} \sqrt{e x +d}}+\frac{2 A b \,e^{2}}{3 \left(b e -c d \right)^{2} \left(e x +d \right)^{\frac{3}{2}} d^{2}}-\frac{4 A c e}{3 \left(b e -c d \right)^{2} \left(e x +d \right)^{\frac{3}{2}} d}+\frac{2 B c}{3 \left(b e -c d \right)^{2} \left(e x +d \right)^{\frac{3}{2}}}+\frac{2 A e}{5 \left(b e -c d \right) \left(e x +d \right)^{\frac{5}{2}} d}-\frac{2 B}{5 \left(b e -c d \right) \left(e x +d \right)^{\frac{5}{2}}}-\frac{2 A \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b \,d^{\frac{7}{2}}}"," ",0,"2/(b*e-c*d)^3*c^4/b/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A-2/(b*e-c*d)^3*c^3/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B-2*A*arctanh((e*x+d)^(1/2)/d^(1/2))/b/d^(7/2)+2/5/(b*e-c*d)/d/(e*x+d)^(5/2)*A*e-2/5/(b*e-c*d)/(e*x+d)^(5/2)*B+2/3/(b*e-c*d)^2/d^2/(e*x+d)^(3/2)*A*b*e^2-4/3/(b*e-c*d)^2/d/(e*x+d)^(3/2)*A*c*e+2/3/(b*e-c*d)^2/(e*x+d)^(3/2)*B*c+2/(b*e-c*d)^3/d^3/(e*x+d)^(1/2)*A*b^2*e^3-6/(b*e-c*d)^3/d^2/(e*x+d)^(1/2)*A*b*c*e^2+6/(b*e-c*d)^3/d/(e*x+d)^(1/2)*A*c^2*e-2/(b*e-c*d)^3/(e*x+d)^(1/2)*B*c^2","A"
1237,1,489,271,0.095000," ","int((B*x+A)/(e*x+d)^(9/2)/(c*x^2+b*x),x)","-\frac{2 A \,c^{5} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{4} \sqrt{\left(b e -c d \right) c}\, b}+\frac{2 B \,c^{4} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{4} \sqrt{\left(b e -c d \right) c}}+\frac{2 A \,b^{3} e^{4}}{\left(b e -c d \right)^{4} \sqrt{e x +d}\, d^{4}}-\frac{8 A \,b^{2} c \,e^{3}}{\left(b e -c d \right)^{4} \sqrt{e x +d}\, d^{3}}+\frac{12 A b \,c^{2} e^{2}}{\left(b e -c d \right)^{4} \sqrt{e x +d}\, d^{2}}-\frac{8 A \,c^{3} e}{\left(b e -c d \right)^{4} \sqrt{e x +d}\, d}+\frac{2 B \,c^{3}}{\left(b e -c d \right)^{4} \sqrt{e x +d}}+\frac{2 A \,b^{2} e^{3}}{3 \left(b e -c d \right)^{3} \left(e x +d \right)^{\frac{3}{2}} d^{3}}-\frac{2 A b c \,e^{2}}{\left(b e -c d \right)^{3} \left(e x +d \right)^{\frac{3}{2}} d^{2}}+\frac{2 A \,c^{2} e}{\left(b e -c d \right)^{3} \left(e x +d \right)^{\frac{3}{2}} d}-\frac{2 B \,c^{2}}{3 \left(b e -c d \right)^{3} \left(e x +d \right)^{\frac{3}{2}}}+\frac{2 A b \,e^{2}}{5 \left(b e -c d \right)^{2} \left(e x +d \right)^{\frac{5}{2}} d^{2}}-\frac{4 A c e}{5 \left(b e -c d \right)^{2} \left(e x +d \right)^{\frac{5}{2}} d}+\frac{2 B c}{5 \left(b e -c d \right)^{2} \left(e x +d \right)^{\frac{5}{2}}}+\frac{2 A e}{7 \left(b e -c d \right) \left(e x +d \right)^{\frac{7}{2}} d}-\frac{2 B}{7 \left(b e -c d \right) \left(e x +d \right)^{\frac{7}{2}}}-\frac{2 A \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b \,d^{\frac{9}{2}}}"," ",0,"-2/(b*e-c*d)^4*c^5/b/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A+2/(b*e-c*d)^4*c^4/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B-2*A*arctanh((e*x+d)^(1/2)/d^(1/2))/b/d^(9/2)+2/7/(b*e-c*d)/d/(e*x+d)^(7/2)*A*e-2/7/(b*e-c*d)/(e*x+d)^(7/2)*B+2/5/(b*e-c*d)^2/d^2/(e*x+d)^(5/2)*A*b*e^2-4/5/(b*e-c*d)^2/d/(e*x+d)^(5/2)*A*c*e+2/5/(b*e-c*d)^2/(e*x+d)^(5/2)*B*c+2/3/(b*e-c*d)^3/d^3/(e*x+d)^(3/2)*A*b^2*e^3-2/(b*e-c*d)^3/d^2/(e*x+d)^(3/2)*A*b*c*e^2+2/(b*e-c*d)^3/d/(e*x+d)^(3/2)*A*c^2*e-2/3/(b*e-c*d)^3/(e*x+d)^(3/2)*B*c^2+2/(b*e-c*d)^4/d^4/(e*x+d)^(1/2)*A*b^3*e^4-8/(b*e-c*d)^4/d^3/(e*x+d)^(1/2)*A*b^2*c*e^3+12/(b*e-c*d)^4/d^2/(e*x+d)^(1/2)*A*b*c^2*e^2-8/(b*e-c*d)^4/d/(e*x+d)^(1/2)*A*c^3*e+2/(b*e-c*d)^4/(e*x+d)^(1/2)*B*c^3","A"
1238,1,1075,358,0.098000," ","int((B*x+A)*(e*x+d)^(9/2)/(c*x^2+b*x)^2,x)","\frac{5 A \,b^{2} e^{5} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c^{3}}-\frac{16 A b d \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c^{2}}+\frac{4 A \,d^{3} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b}-\frac{11 A c \,d^{4} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{2}}+\frac{4 A \,c^{2} d^{5} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{3}}+\frac{14 A \,d^{2} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c}-\frac{7 B \,b^{3} e^{5} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c^{4}}+\frac{26 B \,b^{2} d \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c^{3}}-\frac{34 B b \,d^{2} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c^{2}}+\frac{B \,d^{4} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b}-\frac{2 B c \,d^{5} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{2}}+\frac{16 B \,d^{3} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c}-\frac{\sqrt{e x +d}\, A \,b^{2} e^{5}}{\left(c e x +b e \right) c^{3}}+\frac{4 \sqrt{e x +d}\, A b d \,e^{4}}{\left(c e x +b e \right) c^{2}}+\frac{4 \sqrt{e x +d}\, A \,d^{3} e^{2}}{\left(c e x +b e \right) b}-\frac{\sqrt{e x +d}\, A c \,d^{4} e}{\left(c e x +b e \right) b^{2}}-\frac{6 \sqrt{e x +d}\, A \,d^{2} e^{3}}{\left(c e x +b e \right) c}+\frac{\sqrt{e x +d}\, B \,b^{3} e^{5}}{\left(c e x +b e \right) c^{4}}-\frac{4 \sqrt{e x +d}\, B \,b^{2} d \,e^{4}}{\left(c e x +b e \right) c^{3}}+\frac{6 \sqrt{e x +d}\, B b \,d^{2} e^{3}}{\left(c e x +b e \right) c^{2}}+\frac{\sqrt{e x +d}\, B \,d^{4} e}{\left(c e x +b e \right) b}-\frac{4 \sqrt{e x +d}\, B \,d^{3} e^{2}}{\left(c e x +b e \right) c}-\frac{9 A \,d^{\frac{7}{2}} e \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{2}}+\frac{4 A c \,d^{\frac{9}{2}} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{3}}-\frac{2 B \,d^{\frac{9}{2}} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{2}}-\frac{4 \sqrt{e x +d}\, A b \,e^{4}}{c^{3}}+\frac{8 \sqrt{e x +d}\, A d \,e^{3}}{c^{2}}+\frac{6 \sqrt{e x +d}\, B \,b^{2} e^{4}}{c^{4}}-\frac{16 \sqrt{e x +d}\, B b d \,e^{3}}{c^{3}}+\frac{12 \sqrt{e x +d}\, B \,d^{2} e^{2}}{c^{2}}-\frac{\sqrt{e x +d}\, A \,d^{4}}{b^{2} x}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} A \,e^{3}}{3 c^{2}}-\frac{4 \left(e x +d \right)^{\frac{3}{2}} B b \,e^{3}}{3 c^{3}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} B d \,e^{2}}{c^{2}}+\frac{2 \left(e x +d \right)^{\frac{5}{2}} B \,e^{2}}{5 c^{2}}"," ",0,"e^5*b^3/c^4*(e*x+d)^(1/2)/(c*e*x+b*e)*B+5*e^5*b^2/c^3/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A-7*e^5*b^3/c^4/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B+16*e^2/c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^3+e/b/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^4+e/b*(e*x+d)^(1/2)/(c*e*x+b*e)*B*d^4+14*e^3/c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^2+4*e^2/b/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^3-4*e^2/c*(e*x+d)^(1/2)/(c*e*x+b*e)*B*d^3-6*e^3/c*(e*x+d)^(1/2)/(c*e*x+b*e)*A*d^2+4*e^2/b*(e*x+d)^(1/2)/(c*e*x+b*e)*A*d^3-2/b^2*c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^5+4/b^3*c^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^5+2/3*e^3/c^2*A*(e*x+d)^(3/2)+2/5*e^2/c^2*B*(e*x+d)^(5/2)-2*d^(9/2)/b^2*arctanh((e*x+d)^(1/2)/d^(1/2))*B-16*e^3/c^3*B*b*d*(e*x+d)^(1/2)-e^5*b^2/c^3*(e*x+d)^(1/2)/(c*e*x+b*e)*A-d^4/b^2*A*(e*x+d)^(1/2)/x+6*e^4/c^4*B*b^2*(e*x+d)^(1/2)+4*d^(9/2)/b^3*arctanh((e*x+d)^(1/2)/d^(1/2))*A*c+2*e^2/c^2*B*(e*x+d)^(3/2)*d+12*e^2/c^2*B*d^2*(e*x+d)^(1/2)-9*e*d^(7/2)/b^2*arctanh((e*x+d)^(1/2)/d^(1/2))*A-4/3*e^3/c^3*B*(e*x+d)^(3/2)*b-4*e^4/c^3*A*b*(e*x+d)^(1/2)+8*e^3/c^2*A*d*(e*x+d)^(1/2)-4*e^4*b^2/c^3*(e*x+d)^(1/2)/(c*e*x+b*e)*B*d+26*e^4*b^2/c^3/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d-34*e^3*b/c^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^2-16*e^4*b/c^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d-11*e/b^2*c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^4+6*e^3*b/c^2*(e*x+d)^(1/2)/(c*e*x+b*e)*B*d^2+4*e^4*b/c^2*(e*x+d)^(1/2)/(c*e*x+b*e)*A*d-e/b^2*c*(e*x+d)^(1/2)/(c*e*x+b*e)*A*d^4","B"
1239,1,823,268,0.087000," ","int((B*x+A)*(e*x+d)^(7/2)/(c*x^2+b*x)^2,x)","-\frac{3 A b \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c^{2}}+\frac{3 A \,d^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b}-\frac{9 A c \,d^{3} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{2}}+\frac{4 A \,c^{2} d^{4} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{3}}+\frac{5 A d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c}+\frac{5 B \,b^{2} e^{4} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c^{3}}-\frac{13 B b d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c^{2}}+\frac{B \,d^{3} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b}-\frac{2 B c \,d^{4} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{2}}+\frac{9 B \,d^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c}+\frac{\sqrt{e x +d}\, A b \,e^{4}}{\left(c e x +b e \right) c^{2}}+\frac{3 \sqrt{e x +d}\, A \,d^{2} e^{2}}{\left(c e x +b e \right) b}-\frac{\sqrt{e x +d}\, A c \,d^{3} e}{\left(c e x +b e \right) b^{2}}-\frac{3 \sqrt{e x +d}\, A d \,e^{3}}{\left(c e x +b e \right) c}-\frac{\sqrt{e x +d}\, B \,b^{2} e^{4}}{\left(c e x +b e \right) c^{3}}+\frac{3 \sqrt{e x +d}\, B b d \,e^{3}}{\left(c e x +b e \right) c^{2}}+\frac{\sqrt{e x +d}\, B \,d^{3} e}{\left(c e x +b e \right) b}-\frac{3 \sqrt{e x +d}\, B \,d^{2} e^{2}}{\left(c e x +b e \right) c}-\frac{7 A \,d^{\frac{5}{2}} e \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{2}}+\frac{4 A c \,d^{\frac{7}{2}} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{3}}-\frac{2 B \,d^{\frac{7}{2}} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{2}}+\frac{2 \sqrt{e x +d}\, A \,e^{3}}{c^{2}}-\frac{4 \sqrt{e x +d}\, B b \,e^{3}}{c^{3}}+\frac{6 \sqrt{e x +d}\, B d \,e^{2}}{c^{2}}-\frac{\sqrt{e x +d}\, A \,d^{3}}{b^{2} x}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} B \,e^{2}}{3 c^{2}}"," ",0,"2*e^3/c^2*A*(e*x+d)^(1/2)+2/3*e^2/c^2*B*(e*x+d)^(3/2)-2*d^(7/2)/b^2*arctanh((e*x+d)^(1/2)/d^(1/2))*B+e/b/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^3-3*e^3/c*(e*x+d)^(1/2)/(c*e*x+b*e)*A*d+4/b^3*c^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^4-2/b^2*c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^4+e^4*b/c^2*(e*x+d)^(1/2)/(c*e*x+b*e)*A-e^4*b^2/c^3*(e*x+d)^(1/2)/(c*e*x+b*e)*B-3*e^4*b/c^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A+5*e^4*b^2/c^3/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B-d^3/b^2*A*(e*x+d)^(1/2)/x+4*d^(7/2)/b^3*arctanh((e*x+d)^(1/2)/d^(1/2))*A*c-7*e*d^(5/2)/b^2*arctanh((e*x+d)^(1/2)/d^(1/2))*A-4*e^3/c^3*B*b*(e*x+d)^(1/2)+6*e^2/c^2*B*d*(e*x+d)^(1/2)+3*e^2/b*(e*x+d)^(1/2)/(c*e*x+b*e)*A*d^2-3*e^2/c*(e*x+d)^(1/2)/(c*e*x+b*e)*B*d^2+e/b*(e*x+d)^(1/2)/(c*e*x+b*e)*B*d^3+5*e^3/c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d+3*e^2/b/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^2+9*e^2/c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^2+3*e^3*b/c^2*(e*x+d)^(1/2)/(c*e*x+b*e)*B*d-9*e/b^2*c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^3-13*e^3*b/c^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d-e/b^2*c*(e*x+d)^(1/2)/(c*e*x+b*e)*A*d^3","B"
1240,1,614,205,0.070000," ","int((B*x+A)*(e*x+d)^(5/2)/(c*x^2+b*x)^2,x)","\frac{2 A d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b}-\frac{7 A c \,d^{2} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{2}}+\frac{4 A \,c^{2} d^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{3}}+\frac{A \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c}-\frac{3 B b \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c^{2}}+\frac{B \,d^{2} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b}-\frac{2 B c \,d^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{2}}+\frac{4 B d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c}+\frac{2 \sqrt{e x +d}\, A d \,e^{2}}{\left(c e x +b e \right) b}-\frac{\sqrt{e x +d}\, A c \,d^{2} e}{\left(c e x +b e \right) b^{2}}-\frac{\sqrt{e x +d}\, A \,e^{3}}{\left(c e x +b e \right) c}+\frac{\sqrt{e x +d}\, B b \,e^{3}}{\left(c e x +b e \right) c^{2}}+\frac{\sqrt{e x +d}\, B \,d^{2} e}{\left(c e x +b e \right) b}-\frac{2 \sqrt{e x +d}\, B d \,e^{2}}{\left(c e x +b e \right) c}-\frac{5 A \,d^{\frac{3}{2}} e \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{2}}+\frac{4 A c \,d^{\frac{5}{2}} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{3}}-\frac{2 B \,d^{\frac{5}{2}} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{2}}+\frac{2 \sqrt{e x +d}\, B \,e^{2}}{c^{2}}-\frac{\sqrt{e x +d}\, A \,d^{2}}{b^{2} x}"," ",0,"2*e^2*B/c^2*(e*x+d)^(1/2)-e^3/c*(e*x+d)^(1/2)/(c*e*x+b*e)*A+2*e^2/b*(e*x+d)^(1/2)/(c*e*x+b*e)*A*d-e/b^2*c*(e*x+d)^(1/2)/(c*e*x+b*e)*A*d^2+e^3*b/c^2*(e*x+d)^(1/2)/(c*e*x+b*e)*B-2*e^2/c*(e*x+d)^(1/2)/(c*e*x+b*e)*B*d+e/b*(e*x+d)^(1/2)/(c*e*x+b*e)*B*d^2+e^3/c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A+2*e^2/b/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d-7*e/b^2*c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^2+4/b^3*c^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^3-3*e^3*b/c^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B+4*e^2/c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d+e/b/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^2-2/b^2*c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^3-d^2/b^2*A*(e*x+d)^(1/2)/x-5*e*d^(3/2)/b^2*arctanh((e*x+d)^(1/2)/d^(1/2))*A+4*d^(5/2)/b^3*arctanh((e*x+d)^(1/2)/d^(1/2))*A*c-2*d^(5/2)/b^2*arctanh((e*x+d)^(1/2)/d^(1/2))*B","B"
1241,1,443,163,0.069000," ","int((B*x+A)*(e*x+d)^(3/2)/(c*x^2+b*x)^2,x)","\frac{A \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b}-\frac{5 A c d e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{2}}+\frac{4 A \,c^{2} d^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{3}}+\frac{B d e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b}-\frac{2 B c \,d^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{2}}+\frac{B \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, c}+\frac{\sqrt{e x +d}\, A \,e^{2}}{\left(c e x +b e \right) b}-\frac{\sqrt{e x +d}\, A c d e}{\left(c e x +b e \right) b^{2}}+\frac{\sqrt{e x +d}\, B d e}{\left(c e x +b e \right) b}-\frac{\sqrt{e x +d}\, B \,e^{2}}{\left(c e x +b e \right) c}-\frac{3 A \sqrt{d}\, e \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{2}}+\frac{4 A c \,d^{\frac{3}{2}} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{3}}-\frac{2 B \,d^{\frac{3}{2}} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{2}}-\frac{\sqrt{e x +d}\, A d}{b^{2} x}"," ",0,"e^2/b*(e*x+d)^(1/2)/(c*e*x+b*e)*A-e/b^2*(e*x+d)^(1/2)/(c*e*x+b*e)*A*c*d-e^2/c*(e*x+d)^(1/2)/(c*e*x+b*e)*B+e/b*(e*x+d)^(1/2)/(c*e*x+b*e)*B*d+e^2/b/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A-5*e/b^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*c*d+4/b^3*c^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^2+e^2/c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B+e/b/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d-2/b^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^2*c-d/b^2*A*(e*x+d)^(1/2)/x-3*e*d^(1/2)/b^2*arctanh((e*x+d)^(1/2)/d^(1/2))*A+4*d^(3/2)/b^3*arctanh((e*x+d)^(1/2)/d^(1/2))*A*c-2*d^(3/2)/b^2*arctanh((e*x+d)^(1/2)/d^(1/2))*B","B"
1242,1,299,140,0.069000," ","int((B*x+A)*(e*x+d)^(1/2)/(c*x^2+b*x)^2,x)","-\frac{3 A c e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{2}}+\frac{4 A \,c^{2} d \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{3}}+\frac{B e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b}-\frac{2 B c d \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{2}}-\frac{\sqrt{e x +d}\, A c e}{\left(c e x +b e \right) b^{2}}+\frac{\sqrt{e x +d}\, B e}{\left(c e x +b e \right) b}-\frac{A e \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{2} \sqrt{d}}+\frac{4 A c \sqrt{d}\, \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{3}}-\frac{2 B \sqrt{d}\, \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{2}}-\frac{\sqrt{e x +d}\, A}{b^{2} x}"," ",0,"-e/b^2*(e*x+d)^(1/2)/(c*e*x+b*e)*A*c+e/b*(e*x+d)^(1/2)/(c*e*x+b*e)*B-3*e/b^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*c+4/b^3/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*c^2*d+e/b/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B-2/b^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*c*d-1/b^2*A*(e*x+d)^(1/2)/x-e/b^2/d^(1/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*A+4/b^3*d^(1/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*A*c-2/b^2*d^(1/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*B","B"
1243,1,370,170,0.071000," ","int((B*x+A)/(e*x+d)^(1/2)/(c*x^2+b*x)^2,x)","\frac{5 A \,c^{2} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right) \sqrt{\left(b e -c d \right) c}\, b^{2}}-\frac{4 A \,c^{3} d \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right) \sqrt{\left(b e -c d \right) c}\, b^{3}}-\frac{3 B c e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right) \sqrt{\left(b e -c d \right) c}\, b}+\frac{2 B \,c^{2} d \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right) \sqrt{\left(b e -c d \right) c}\, b^{2}}+\frac{\sqrt{e x +d}\, A \,c^{2} e}{\left(b e -c d \right) \left(c e x +b e \right) b^{2}}-\frac{\sqrt{e x +d}\, B c e}{\left(b e -c d \right) \left(c e x +b e \right) b}+\frac{A e \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{2} d^{\frac{3}{2}}}+\frac{4 A c \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{3} \sqrt{d}}-\frac{2 B \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{2} \sqrt{d}}-\frac{\sqrt{e x +d}\, A}{b^{2} d x}"," ",0,"e*c^2/b^2/(b*e-c*d)*(e*x+d)^(1/2)/(c*e*x+b*e)*A-e*c/b/(b*e-c*d)*(e*x+d)^(1/2)/(c*e*x+b*e)*B+5*e*c^2/b^2/(b*e-c*d)/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A-4*c^3/b^3/(b*e-c*d)/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d-3*e*c/b/(b*e-c*d)/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B+2*c^2/b^2/(b*e-c*d)/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d-1/b^2*A/d*(e*x+d)^(1/2)/x+e/b^2/d^(3/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*A+4/b^3/d^(1/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*A*c-2/b^2/d^(1/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*B","B"
1244,1,427,235,0.080000," ","int((B*x+A)/(e*x+d)^(3/2)/(c*x^2+b*x)^2,x)","-\frac{7 A \,c^{3} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{2} \sqrt{\left(b e -c d \right) c}\, b^{2}}+\frac{4 A \,c^{4} d \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{2} \sqrt{\left(b e -c d \right) c}\, b^{3}}+\frac{5 B \,c^{2} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{2} \sqrt{\left(b e -c d \right) c}\, b}-\frac{2 B \,c^{3} d \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{2} \sqrt{\left(b e -c d \right) c}\, b^{2}}-\frac{\sqrt{e x +d}\, A \,c^{3} e}{\left(b e -c d \right)^{2} \left(c e x +b e \right) b^{2}}+\frac{\sqrt{e x +d}\, B \,c^{2} e}{\left(b e -c d \right)^{2} \left(c e x +b e \right) b}-\frac{2 A \,e^{3}}{\left(b e -c d \right)^{2} \sqrt{e x +d}\, d^{2}}+\frac{2 B \,e^{2}}{\left(b e -c d \right)^{2} \sqrt{e x +d}\, d}+\frac{3 A e \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{2} d^{\frac{5}{2}}}+\frac{4 A c \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{3} d^{\frac{3}{2}}}-\frac{2 B \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{2} d^{\frac{3}{2}}}-\frac{\sqrt{e x +d}\, A}{b^{2} d^{2} x}"," ",0,"-e*c^3/(b*e-c*d)^2/b^2*(e*x+d)^(1/2)/(c*e*x+b*e)*A+e*c^2/(b*e-c*d)^2/b*(e*x+d)^(1/2)/(c*e*x+b*e)*B-7*e*c^3/(b*e-c*d)^2/b^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A+4*c^4/(b*e-c*d)^2/b^3/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d+5*e*c^2/(b*e-c*d)^2/b/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B-2*c^3/(b*e-c*d)^2/b^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d-1/b^2/d^2*A*(e*x+d)^(1/2)/x+3*e/b^2/d^(5/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*A+4/b^3/d^(3/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*A*c-2/b^2/d^(3/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*B-2*e^3/(b*e-c*d)^2/d^2/(e*x+d)^(1/2)*A+2*e^2/(b*e-c*d)^2/d/(e*x+d)^(1/2)*B","A"
1245,1,535,321,0.079000," ","int((B*x+A)/(e*x+d)^(5/2)/(c*x^2+b*x)^2,x)","\frac{9 A \,c^{4} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{3} \sqrt{\left(b e -c d \right) c}\, b^{2}}-\frac{4 A \,c^{5} d \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{3} \sqrt{\left(b e -c d \right) c}\, b^{3}}-\frac{7 B \,c^{3} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{3} \sqrt{\left(b e -c d \right) c}\, b}+\frac{2 B \,c^{4} d \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{3} \sqrt{\left(b e -c d \right) c}\, b^{2}}+\frac{\sqrt{e x +d}\, A \,c^{4} e}{\left(b e -c d \right)^{3} \left(c e x +b e \right) b^{2}}-\frac{\sqrt{e x +d}\, B \,c^{3} e}{\left(b e -c d \right)^{3} \left(c e x +b e \right) b}-\frac{4 A b \,e^{4}}{\left(b e -c d \right)^{3} \sqrt{e x +d}\, d^{3}}+\frac{8 A c \,e^{3}}{\left(b e -c d \right)^{3} \sqrt{e x +d}\, d^{2}}+\frac{2 B b \,e^{3}}{\left(b e -c d \right)^{3} \sqrt{e x +d}\, d^{2}}-\frac{6 B c \,e^{2}}{\left(b e -c d \right)^{3} \sqrt{e x +d}\, d}-\frac{2 A \,e^{3}}{3 \left(b e -c d \right)^{2} \left(e x +d \right)^{\frac{3}{2}} d^{2}}+\frac{2 B \,e^{2}}{3 \left(b e -c d \right)^{2} \left(e x +d \right)^{\frac{3}{2}} d}+\frac{5 A e \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{2} d^{\frac{7}{2}}}+\frac{4 A c \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{3} d^{\frac{5}{2}}}-\frac{2 B \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{2} d^{\frac{5}{2}}}-\frac{\sqrt{e x +d}\, A}{b^{2} d^{3} x}"," ",0,"e*c^4/(b*e-c*d)^3/b^2*(e*x+d)^(1/2)/(c*e*x+b*e)*A-e*c^3/(b*e-c*d)^3/b*(e*x+d)^(1/2)/(c*e*x+b*e)*B+9*e*c^4/(b*e-c*d)^3/b^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A-4*c^5/(b*e-c*d)^3/b^3/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d-7*e*c^3/(b*e-c*d)^3/b/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B+2*c^4/(b*e-c*d)^3/b^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d-1/b^2/d^3*A*(e*x+d)^(1/2)/x+5*e/b^2/d^(7/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*A+4/b^3/d^(5/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*A*c-2/b^2/d^(5/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*B-2/3*e^3/(b*e-c*d)^2/d^2/(e*x+d)^(3/2)*A+2/3*e^2/(b*e-c*d)^2/d/(e*x+d)^(3/2)*B-4*e^4/(b*e-c*d)^3/d^3/(e*x+d)^(1/2)*A*b+8*e^3/(b*e-c*d)^3/d^2/(e*x+d)^(1/2)*A*c+2*e^3/(b*e-c*d)^3/d^2/(e*x+d)^(1/2)*B*b-6*e^2/(b*e-c*d)^3/d/(e*x+d)^(1/2)*B*c","A"
1246,1,707,430,0.095000," ","int((B*x+A)/(e*x+d)^(7/2)/(c*x^2+b*x)^2,x)","-\frac{11 A \,c^{5} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{4} \sqrt{\left(b e -c d \right) c}\, b^{2}}+\frac{4 A \,c^{6} d \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{4} \sqrt{\left(b e -c d \right) c}\, b^{3}}+\frac{9 B \,c^{4} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{4} \sqrt{\left(b e -c d \right) c}\, b}-\frac{2 B \,c^{5} d \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{4} \sqrt{\left(b e -c d \right) c}\, b^{2}}-\frac{\sqrt{e x +d}\, A \,c^{5} e}{\left(b e -c d \right)^{4} \left(c e x +b e \right) b^{2}}+\frac{\sqrt{e x +d}\, B \,c^{4} e}{\left(b e -c d \right)^{4} \left(c e x +b e \right) b}-\frac{6 A \,b^{2} e^{5}}{\left(b e -c d \right)^{4} \sqrt{e x +d}\, d^{4}}+\frac{20 A b c \,e^{4}}{\left(b e -c d \right)^{4} \sqrt{e x +d}\, d^{3}}-\frac{20 A \,c^{2} e^{3}}{\left(b e -c d \right)^{4} \sqrt{e x +d}\, d^{2}}+\frac{2 B \,b^{2} e^{4}}{\left(b e -c d \right)^{4} \sqrt{e x +d}\, d^{3}}-\frac{8 B b c \,e^{3}}{\left(b e -c d \right)^{4} \sqrt{e x +d}\, d^{2}}+\frac{12 B \,c^{2} e^{2}}{\left(b e -c d \right)^{4} \sqrt{e x +d}\, d}-\frac{4 A b \,e^{4}}{3 \left(b e -c d \right)^{3} \left(e x +d \right)^{\frac{3}{2}} d^{3}}+\frac{8 A c \,e^{3}}{3 \left(b e -c d \right)^{3} \left(e x +d \right)^{\frac{3}{2}} d^{2}}+\frac{2 B b \,e^{3}}{3 \left(b e -c d \right)^{3} \left(e x +d \right)^{\frac{3}{2}} d^{2}}-\frac{2 B c \,e^{2}}{\left(b e -c d \right)^{3} \left(e x +d \right)^{\frac{3}{2}} d}-\frac{2 A \,e^{3}}{5 \left(b e -c d \right)^{2} \left(e x +d \right)^{\frac{5}{2}} d^{2}}+\frac{2 B \,e^{2}}{5 \left(b e -c d \right)^{2} \left(e x +d \right)^{\frac{5}{2}} d}+\frac{7 A e \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{2} d^{\frac{9}{2}}}+\frac{4 A c \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{3} d^{\frac{7}{2}}}-\frac{2 B \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{2} d^{\frac{7}{2}}}-\frac{\sqrt{e x +d}\, A}{b^{2} d^{4} x}"," ",0,"-e*c^5/(b*e-c*d)^4/b^2*(e*x+d)^(1/2)/(c*e*x+b*e)*A+e*c^4/(b*e-c*d)^4/b*(e*x+d)^(1/2)/(c*e*x+b*e)*B-11*e*c^5/(b*e-c*d)^4/b^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A+4*c^6/(b*e-c*d)^4/b^3/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d+9*e*c^4/(b*e-c*d)^4/b/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B-2*c^5/(b*e-c*d)^4/b^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d-1/b^2/d^4*A*(e*x+d)^(1/2)/x+7*e/b^2/d^(9/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*A+4/b^3/d^(7/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*A*c-2/b^2/d^(7/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*B-2/5*e^3/(b*e-c*d)^2/d^2/(e*x+d)^(5/2)*A+2/5*e^2/(b*e-c*d)^2/d/(e*x+d)^(5/2)*B-4/3*e^4/(b*e-c*d)^3/d^3/(e*x+d)^(3/2)*A*b+8/3*e^3/(b*e-c*d)^3/d^2/(e*x+d)^(3/2)*A*c+2/3*e^3/(b*e-c*d)^3/d^2/(e*x+d)^(3/2)*B*b-2*e^2/(b*e-c*d)^3/d/(e*x+d)^(3/2)*B*c-6*e^5/(b*e-c*d)^4/d^4/(e*x+d)^(1/2)*A*b^2+20*e^4/(b*e-c*d)^4/d^3/(e*x+d)^(1/2)*A*b*c-20*e^3/(b*e-c*d)^4/d^2/(e*x+d)^(1/2)*A*c^2+2*e^4/(b*e-c*d)^4/d^3/(e*x+d)^(1/2)*B*b^2-8*e^3/(b*e-c*d)^4/d^2/(e*x+d)^(1/2)*B*b*c+12*e^2/(b*e-c*d)^4/d/(e*x+d)^(1/2)*B*c^2","A"
1247,1,1421,429,0.088000," ","int((B*x+A)*(e*x+d)^(9/2)/(c*x^2+b*x)^3,x)","-\frac{3 \sqrt{e x +d}\, A b \,e^{6}}{4 \left(c e x +b e \right)^{2} c^{2}}+\frac{15 \sqrt{e x +d}\, A \,d^{2} e^{4}}{2 \left(c e x +b e \right)^{2} b}-\frac{15 \sqrt{e x +d}\, A c \,d^{3} e^{3}}{\left(c e x +b e \right)^{2} b^{2}}+\frac{45 \sqrt{e x +d}\, A \,c^{2} d^{4} e^{2}}{4 \left(c e x +b e \right)^{2} b^{3}}-\frac{3 \sqrt{e x +d}\, A \,c^{3} d^{5} e}{\left(c e x +b e \right)^{2} b^{4}}+\frac{7 \sqrt{e x +d}\, B \,b^{2} e^{6}}{4 \left(c e x +b e \right)^{2} c^{3}}-\frac{5 \sqrt{e x +d}\, B b d \,e^{5}}{\left(c e x +b e \right)^{2} c^{2}}+\frac{5 \sqrt{e x +d}\, B \,d^{3} e^{3}}{\left(c e x +b e \right)^{2} b}-\frac{25 \sqrt{e x +d}\, B c \,d^{4} e^{2}}{4 \left(c e x +b e \right)^{2} b^{2}}+\frac{2 \sqrt{e x +d}\, B \,c^{2} d^{5} e}{\left(c e x +b e \right)^{2} b^{3}}+\frac{5 \sqrt{e x +d}\, B \,d^{2} e^{4}}{2 \left(c e x +b e \right)^{2} c}+\frac{3 A d \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \sqrt{\left(b e -c d \right) c}\, b c}+\frac{3 \left(e x +d \right)^{\frac{3}{2}} A d \,e^{4}}{4 \left(c e x +b e \right)^{2} b}+\frac{21 \left(e x +d \right)^{\frac{3}{2}} A c \,d^{2} e^{3}}{4 \left(c e x +b e \right)^{2} b^{2}}+\frac{21 A \,d^{2} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \sqrt{\left(b e -c d \right) c}\, b^{2}}-\frac{31 \left(e x +d \right)^{\frac{3}{2}} A \,c^{2} d^{3} e^{2}}{4 \left(c e x +b e \right)^{2} b^{3}}-\frac{111 A c \,d^{3} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \sqrt{\left(b e -c d \right) c}\, b^{3}}+\frac{3 \left(e x +d \right)^{\frac{3}{2}} A \,c^{3} d^{4} e}{\left(c e x +b e \right)^{2} b^{4}}+\frac{33 A \,c^{2} d^{4} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{4}}-\frac{12 A \,c^{3} d^{5} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{5}}-\frac{5 \left(e x +d \right)^{\frac{3}{2}} A \,e^{5}}{4 \left(c e x +b e \right)^{2} c}+\frac{3 A \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \sqrt{\left(b e -c d \right) c}\, c^{2}}+\frac{9 \left(e x +d \right)^{\frac{3}{2}} B b \,e^{5}}{4 \left(c e x +b e \right)^{2} c^{2}}-\frac{15 B b \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \sqrt{\left(b e -c d \right) c}\, c^{3}}+\frac{3 B \,d^{2} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \sqrt{\left(b e -c d \right) c}\, b c}+\frac{3 \left(e x +d \right)^{\frac{3}{2}} B \,d^{2} e^{3}}{4 \left(c e x +b e \right)^{2} b}+\frac{15 \left(e x +d \right)^{\frac{3}{2}} B c \,d^{3} e^{2}}{4 \left(c e x +b e \right)^{2} b^{2}}+\frac{15 B \,d^{3} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \sqrt{\left(b e -c d \right) c}\, b^{2}}-\frac{2 \left(e x +d \right)^{\frac{3}{2}} B \,c^{2} d^{4} e}{\left(c e x +b e \right)^{2} b^{3}}-\frac{12 B c \,d^{4} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{3}}+\frac{6 B \,c^{2} d^{5} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{4}}-\frac{19 \left(e x +d \right)^{\frac{3}{2}} B d \,e^{4}}{4 \left(c e x +b e \right)^{2} c}+\frac{21 B d \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \sqrt{\left(b e -c d \right) c}\, c^{2}}-\frac{63 A \,d^{\frac{5}{2}} e^{2} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{4 b^{3}}+\frac{27 A c \,d^{\frac{7}{2}} e \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{4}}-\frac{12 A \,c^{2} d^{\frac{9}{2}} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{5}}-\frac{9 B \,d^{\frac{7}{2}} e \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{3}}+\frac{6 B c \,d^{\frac{9}{2}} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{4}}+\frac{2 \sqrt{e x +d}\, B \,e^{4}}{c^{3}}+\frac{15 \sqrt{e x +d}\, A \,d^{4}}{4 b^{3} x^{2}}-\frac{3 \sqrt{e x +d}\, A c \,d^{5}}{b^{4} e \,x^{2}}+\frac{\sqrt{e x +d}\, B \,d^{5}}{b^{3} e \,x^{2}}-\frac{17 \left(e x +d \right)^{\frac{3}{2}} A \,d^{3}}{4 b^{3} x^{2}}+\frac{3 \left(e x +d \right)^{\frac{3}{2}} A c \,d^{4}}{b^{4} e \,x^{2}}-\frac{\left(e x +d \right)^{\frac{3}{2}} B \,d^{4}}{b^{3} e \,x^{2}}"," ",0,"2*e^4*B/c^3*(e*x+d)^(1/2)+5/2*e^4/c/(c*e*x+b*e)^2*B*(e*x+d)^(1/2)*d^2+15/2*e^4/b/(c*e*x+b*e)^2*A*(e*x+d)^(1/2)*d^2+3/4*e^4/b/(c*e*x+b*e)^2*(e*x+d)^(3/2)*A*d-19/4*e^4/c/(c*e*x+b*e)^2*(e*x+d)^(3/2)*B*d+3/4*e^3/b/(c*e*x+b*e)^2*(e*x+d)^(3/2)*B*d^2+21/4*e^3/b^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^2+5*e^3/b/(c*e*x+b*e)^2*B*(e*x+d)^(1/2)*d^3+6/b^4*c^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^5-12/b^5*c^3/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^5+9/4*e^5*b/c^2/(c*e*x+b*e)^2*(e*x+d)^(3/2)*B-3/4*e^6*b/c^2/(c*e*x+b*e)^2*A*(e*x+d)^(1/2)-15/4*e^5*b/c^3/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B+7/4*e^6*b^2/c^3/(c*e*x+b*e)^2*B*(e*x+d)^(1/2)-1/e*d^4/b^3/x^2*(e*x+d)^(3/2)*B+1/e*d^5/b^3/x^2*(e*x+d)^(1/2)*B+27*e*d^(7/2)/b^4*arctanh((e*x+d)^(1/2)/d^(1/2))*A*c+21/4*e^4/c^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d+15/4*e^2/b^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^3+3/4*e^5/c^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A-17/4*d^3/b^3/x^2*(e*x+d)^(3/2)*A+15/4*d^4/b^3/x^2*(e*x+d)^(1/2)*A-12*d^(9/2)/b^5*arctanh((e*x+d)^(1/2)/d^(1/2))*A*c^2+6*d^(9/2)/b^4*arctanh((e*x+d)^(1/2)/d^(1/2))*B*c-5/4*e^5/c/(c*e*x+b*e)^2*(e*x+d)^(3/2)*A-63/4*e^2*d^(5/2)/b^3*arctanh((e*x+d)^(1/2)/d^(1/2))*A-9*e*d^(7/2)/b^3*arctanh((e*x+d)^(1/2)/d^(1/2))*B-111/4*e^2/b^3*c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^3+33*e/b^4*c^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^4+3/4*e^4/b/c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d-25/4*e^2/b^2*c/(c*e*x+b*e)^2*B*(e*x+d)^(1/2)*d^4+2*e/b^3*c^2/(c*e*x+b*e)^2*B*(e*x+d)^(1/2)*d^5+45/4*e^2/b^3*c^2/(c*e*x+b*e)^2*A*(e*x+d)^(1/2)*d^4-3*e/b^4*c^3/(c*e*x+b*e)^2*A*(e*x+d)^(1/2)*d^5-5*e^5*b/c^2/(c*e*x+b*e)^2*B*(e*x+d)^(1/2)*d-15*e^3/b^2*c/(c*e*x+b*e)^2*A*(e*x+d)^(1/2)*d^3+21/4*e^3/b^2*c/(c*e*x+b*e)^2*(e*x+d)^(3/2)*A*d^2-31/4*e^2/b^3*c^2/(c*e*x+b*e)^2*(e*x+d)^(3/2)*A*d^3-12*e/b^3*c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^4+3*e/b^4*c^3/(c*e*x+b*e)^2*(e*x+d)^(3/2)*A*d^4+15/4*e^2/b^2*c/(c*e*x+b*e)^2*(e*x+d)^(3/2)*B*d^3-2*e/b^3*c^2/(c*e*x+b*e)^2*(e*x+d)^(3/2)*B*d^4+3/e*d^4/b^4/x^2*(e*x+d)^(3/2)*A*c-3/e*d^5/b^4/x^2*(e*x+d)^(1/2)*A*c+3/4*e^3/b/c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^2","B"
1248,1,1218,335,0.115000," ","int((B*x+A)*(e*x+d)^(7/2)/(c*x^2+b*x)^3,x)","\frac{15 \sqrt{e x +d}\, A d \,e^{4}}{4 \left(c e x +b e \right)^{2} b}-\frac{39 \sqrt{e x +d}\, A c \,d^{2} e^{3}}{4 \left(c e x +b e \right)^{2} b^{2}}+\frac{37 \sqrt{e x +d}\, A \,c^{2} d^{3} e^{2}}{4 \left(c e x +b e \right)^{2} b^{3}}-\frac{3 \sqrt{e x +d}\, A \,c^{3} d^{4} e}{\left(c e x +b e \right)^{2} b^{4}}-\frac{\sqrt{e x +d}\, A \,e^{5}}{4 \left(c e x +b e \right)^{2} c}-\frac{3 \sqrt{e x +d}\, B b \,e^{5}}{4 \left(c e x +b e \right)^{2} c^{2}}+\frac{15 \sqrt{e x +d}\, B \,d^{2} e^{3}}{4 \left(c e x +b e \right)^{2} b}-\frac{21 \sqrt{e x +d}\, B c \,d^{3} e^{2}}{4 \left(c e x +b e \right)^{2} b^{2}}+\frac{2 \sqrt{e x +d}\, B \,c^{2} d^{4} e}{\left(c e x +b e \right)^{2} b^{3}}+\frac{\sqrt{e x +d}\, B d \,e^{4}}{4 \left(c e x +b e \right)^{2} c}+\frac{A \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \sqrt{\left(b e -c d \right) c}\, b c}+\frac{\left(e x +d \right)^{\frac{3}{2}} A \,e^{4}}{4 \left(c e x +b e \right)^{2} b}+\frac{5 \left(e x +d \right)^{\frac{3}{2}} A c d \,e^{3}}{2 \left(c e x +b e \right)^{2} b^{2}}+\frac{5 A d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{2 \sqrt{\left(b e -c d \right) c}\, b^{2}}-\frac{23 \left(e x +d \right)^{\frac{3}{2}} A \,c^{2} d^{2} e^{2}}{4 \left(c e x +b e \right)^{2} b^{3}}-\frac{71 A c \,d^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \sqrt{\left(b e -c d \right) c}\, b^{3}}+\frac{3 \left(e x +d \right)^{\frac{3}{2}} A \,c^{3} d^{3} e}{\left(c e x +b e \right)^{2} b^{4}}+\frac{27 A \,c^{2} d^{3} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{4}}-\frac{12 A \,c^{3} d^{4} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{5}}+\frac{B d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{2 \sqrt{\left(b e -c d \right) c}\, b c}+\frac{\left(e x +d \right)^{\frac{3}{2}} B d \,e^{3}}{2 \left(c e x +b e \right)^{2} b}+\frac{11 \left(e x +d \right)^{\frac{3}{2}} B c \,d^{2} e^{2}}{4 \left(c e x +b e \right)^{2} b^{2}}+\frac{11 B \,d^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \sqrt{\left(b e -c d \right) c}\, b^{2}}-\frac{2 \left(e x +d \right)^{\frac{3}{2}} B \,c^{2} d^{3} e}{\left(c e x +b e \right)^{2} b^{3}}-\frac{10 B c \,d^{3} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{3}}+\frac{6 B \,c^{2} d^{4} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{4}}-\frac{5 \left(e x +d \right)^{\frac{3}{2}} B \,e^{4}}{4 \left(c e x +b e \right)^{2} c}+\frac{3 B \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \sqrt{\left(b e -c d \right) c}\, c^{2}}-\frac{35 A \,d^{\frac{3}{2}} e^{2} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{4 b^{3}}+\frac{21 A c \,d^{\frac{5}{2}} e \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{4}}-\frac{12 A \,c^{2} d^{\frac{7}{2}} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{5}}-\frac{7 B \,d^{\frac{5}{2}} e \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{3}}+\frac{6 B c \,d^{\frac{7}{2}} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{4}}+\frac{11 \sqrt{e x +d}\, A \,d^{3}}{4 b^{3} x^{2}}-\frac{3 \sqrt{e x +d}\, A c \,d^{4}}{b^{4} e \,x^{2}}+\frac{\sqrt{e x +d}\, B \,d^{4}}{b^{3} e \,x^{2}}-\frac{13 \left(e x +d \right)^{\frac{3}{2}} A \,d^{2}}{4 b^{3} x^{2}}+\frac{3 \left(e x +d \right)^{\frac{3}{2}} A c \,d^{3}}{b^{4} e \,x^{2}}-\frac{\left(e x +d \right)^{\frac{3}{2}} B \,d^{3}}{b^{3} e \,x^{2}}"," ",0,"21*e*d^(5/2)/b^4*arctanh((e*x+d)^(1/2)/d^(1/2))*A*c+15/4*e^3/b/(c*e*x+b*e)^2*(e*x+d)^(1/2)*B*d^2+5/2*e^3/b^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d+11/4*e^2/b^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^2+6/b^4/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^4*c^2-12/b^5*c^3/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^4+1/4*e^4/(c*e*x+b*e)^2/c*(e*x+d)^(1/2)*B*d-3/4*e^5*b/(c*e*x+b*e)^2/c^2*(e*x+d)^(1/2)*B+1/2*e^3/b/(c*e*x+b*e)^2*(e*x+d)^(3/2)*B*d+15/4*e^4/b/(c*e*x+b*e)^2*(e*x+d)^(1/2)*A*d+1/e*d^4/b^3/x^2*(e*x+d)^(1/2)*B+1/4*e^4/b/c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A-1/e*d^3/b^3/x^2*(e*x+d)^(3/2)*B+11/4*d^3/b^3/x^2*(e*x+d)^(1/2)*A-7*e*d^(5/2)/b^3*arctanh((e*x+d)^(1/2)/d^(1/2))*B+1/4*e^4/b/(c*e*x+b*e)^2*(e*x+d)^(3/2)*A-13/4*d^2/b^3/x^2*(e*x+d)^(3/2)*A+6*d^(7/2)/b^4*arctanh((e*x+d)^(1/2)/d^(1/2))*B*c+3/4*e^4/c^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B-1/4*e^5/(c*e*x+b*e)^2/c*(e*x+d)^(1/2)*A-5/4*e^4/(c*e*x+b*e)^2/c*(e*x+d)^(3/2)*B-35/4*e^2*d^(3/2)/b^3*arctanh((e*x+d)^(1/2)/d^(1/2))*A-12*d^(7/2)/b^5*arctanh((e*x+d)^(1/2)/d^(1/2))*A*c^2+11/4*e^2/b^2/(c*e*x+b*e)^2*c*(e*x+d)^(3/2)*B*d^2-2*e/b^3/(c*e*x+b*e)^2*(e*x+d)^(3/2)*B*d^3*c^2-3*e/b^4/(c*e*x+b*e)^2*c^3*(e*x+d)^(1/2)*A*d^4-39/4*e^3/b^2/(c*e*x+b*e)^2*c*(e*x+d)^(1/2)*A*d^2+37/4*e^2/b^3/(c*e*x+b*e)^2*(e*x+d)^(1/2)*A*d^3*c^2+3*e/b^4/(c*e*x+b*e)^2*c^3*(e*x+d)^(3/2)*A*d^3-21/4*e^2/b^2/(c*e*x+b*e)^2*c*(e*x+d)^(1/2)*B*d^3+2*e/b^3/(c*e*x+b*e)^2*(e*x+d)^(1/2)*B*d^4*c^2-71/4*e^2/b^3*c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^2+27*e/b^4/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^3*c^2+1/2*e^3/b/c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d-10*e/b^3*c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^3-3/e*d^4/b^4/x^2*c*(e*x+d)^(1/2)*A-23/4*e^2/b^3/(c*e*x+b*e)^2*(e*x+d)^(3/2)*A*c^2*d^2+3/e*d^3/b^4/x^2*c*(e*x+d)^(3/2)*A+5/2*e^3/b^2/(c*e*x+b*e)^2*(e*x+d)^(3/2)*A*c*d","B"
1249,1,1004,316,0.084000," ","int((B*x+A)*(e*x+d)^(5/2)/(c*x^2+b*x)^3,x)","\frac{5 \sqrt{e x +d}\, A \,e^{4}}{4 \left(c e x +b e \right)^{2} b}-\frac{11 \sqrt{e x +d}\, A c d \,e^{3}}{2 \left(c e x +b e \right)^{2} b^{2}}+\frac{29 \sqrt{e x +d}\, A \,c^{2} d^{2} e^{2}}{4 \left(c e x +b e \right)^{2} b^{3}}-\frac{3 \sqrt{e x +d}\, A \,c^{3} d^{3} e}{\left(c e x +b e \right)^{2} b^{4}}+\frac{5 \sqrt{e x +d}\, B d \,e^{3}}{2 \left(c e x +b e \right)^{2} b}-\frac{17 \sqrt{e x +d}\, B c \,d^{2} e^{2}}{4 \left(c e x +b e \right)^{2} b^{2}}+\frac{2 \sqrt{e x +d}\, B \,c^{2} d^{3} e}{\left(c e x +b e \right)^{2} b^{3}}-\frac{\sqrt{e x +d}\, B \,e^{4}}{4 \left(c e x +b e \right)^{2} c}+\frac{3 \left(e x +d \right)^{\frac{3}{2}} A c \,e^{3}}{4 \left(c e x +b e \right)^{2} b^{2}}+\frac{3 A \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \sqrt{\left(b e -c d \right) c}\, b^{2}}-\frac{15 \left(e x +d \right)^{\frac{3}{2}} A \,c^{2} d \,e^{2}}{4 \left(c e x +b e \right)^{2} b^{3}}-\frac{39 A c d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \sqrt{\left(b e -c d \right) c}\, b^{3}}+\frac{3 \left(e x +d \right)^{\frac{3}{2}} A \,c^{3} d^{2} e}{\left(c e x +b e \right)^{2} b^{4}}+\frac{21 A \,c^{2} d^{2} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{4}}-\frac{12 A \,c^{3} d^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{5}}+\frac{B \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \sqrt{\left(b e -c d \right) c}\, b c}+\frac{\left(e x +d \right)^{\frac{3}{2}} B \,e^{3}}{4 \left(c e x +b e \right)^{2} b}+\frac{7 \left(e x +d \right)^{\frac{3}{2}} B c d \,e^{2}}{4 \left(c e x +b e \right)^{2} b^{2}}+\frac{7 B d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \sqrt{\left(b e -c d \right) c}\, b^{2}}-\frac{2 \left(e x +d \right)^{\frac{3}{2}} B \,c^{2} d^{2} e}{\left(c e x +b e \right)^{2} b^{3}}-\frac{8 B c \,d^{2} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{3}}+\frac{6 B \,c^{2} d^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{4}}-\frac{15 A \sqrt{d}\, e^{2} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{4 b^{3}}+\frac{15 A c \,d^{\frac{3}{2}} e \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{4}}-\frac{12 A \,c^{2} d^{\frac{5}{2}} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{5}}-\frac{5 B \,d^{\frac{3}{2}} e \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{3}}+\frac{6 B c \,d^{\frac{5}{2}} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{4}}+\frac{7 \sqrt{e x +d}\, A \,d^{2}}{4 b^{3} x^{2}}-\frac{3 \sqrt{e x +d}\, A c \,d^{3}}{b^{4} e \,x^{2}}+\frac{\sqrt{e x +d}\, B \,d^{3}}{b^{3} e \,x^{2}}-\frac{9 \left(e x +d \right)^{\frac{3}{2}} A d}{4 b^{3} x^{2}}+\frac{3 \left(e x +d \right)^{\frac{3}{2}} A c \,d^{2}}{b^{4} e \,x^{2}}-\frac{\left(e x +d \right)^{\frac{3}{2}} B \,d^{2}}{b^{3} e \,x^{2}}"," ",0,"15*e*d^(3/2)/b^4*arctanh((e*x+d)^(1/2)/d^(1/2))*A*c+6/b^4*c^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^3+7/4*e^2/b^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d-12/b^5*c^3/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^3+3/4*e^3/b^2/(c*e*x+b*e)^2*(e*x+d)^(3/2)*A*c+1/4*e^3/b/(c*e*x+b*e)^2*(e*x+d)^(3/2)*B-5*e*d^(3/2)/b^3*arctanh((e*x+d)^(1/2)/d^(1/2))*B+3/4*e^3/b^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A+5/4*e^4/b/(c*e*x+b*e)^2*(e*x+d)^(1/2)*A+7/4*d^2/b^3/x^2*(e*x+d)^(1/2)*A-12*d^(5/2)/b^5*arctanh((e*x+d)^(1/2)/d^(1/2))*A*c^2+6*d^(5/2)/b^4*arctanh((e*x+d)^(1/2)/d^(1/2))*B*c-9/4*d/b^3/x^2*(e*x+d)^(3/2)*A-1/4*e^4/(c*e*x+b*e)^2/c*(e*x+d)^(1/2)*B-15/4*e^2*d^(1/2)/b^3*arctanh((e*x+d)^(1/2)/d^(1/2))*A-1/e*d^2/b^3/x^2*(e*x+d)^(3/2)*B+1/e*d^3/b^3/x^2*(e*x+d)^(1/2)*B+5/2*e^3/b/(c*e*x+b*e)^2*(e*x+d)^(1/2)*B*d+1/4*e^3/b/c/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B-39/4*e^2/b^3/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*c*d+21*e/b^4*c^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^2-8*e/b^3/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^2*c-2*e/b^3/(c*e*x+b*e)^2*(e*x+d)^(3/2)*B*c^2*d^2+2*e/b^3/(c*e*x+b*e)^2*c^2*(e*x+d)^(1/2)*B*d^3+3/e*d^2/b^4/x^2*(e*x+d)^(3/2)*A*c-3/e*d^3/b^4/x^2*(e*x+d)^(1/2)*A*c-17/4*e^2/b^2/(c*e*x+b*e)^2*(e*x+d)^(1/2)*B*d^2*c+7/4*e^2/b^2/(c*e*x+b*e)^2*(e*x+d)^(3/2)*B*c*d-11/2*e^3/b^2/(c*e*x+b*e)^2*(e*x+d)^(1/2)*A*c*d+3*e/b^4/(c*e*x+b*e)^2*(e*x+d)^(3/2)*A*c^3*d^2+29/4*e^2/b^3/(c*e*x+b*e)^2*c^2*(e*x+d)^(1/2)*A*d^2-3*e/b^4/(c*e*x+b*e)^2*c^3*(e*x+d)^(1/2)*A*d^3-15/4*e^2/b^3/(c*e*x+b*e)^2*(e*x+d)^(3/2)*A*c^2*d","B"
1250,1,785,318,0.078000," ","int((B*x+A)*(e*x+d)^(3/2)/(c*x^2+b*x)^3,x)","-\frac{9 \sqrt{e x +d}\, A c \,e^{3}}{4 \left(c e x +b e \right)^{2} b^{2}}+\frac{21 \sqrt{e x +d}\, A \,c^{2} d \,e^{2}}{4 \left(c e x +b e \right)^{2} b^{3}}-\frac{3 \sqrt{e x +d}\, A \,c^{3} d^{2} e}{\left(c e x +b e \right)^{2} b^{4}}+\frac{5 \sqrt{e x +d}\, B \,e^{3}}{4 \left(c e x +b e \right)^{2} b}-\frac{13 \sqrt{e x +d}\, B c d \,e^{2}}{4 \left(c e x +b e \right)^{2} b^{2}}+\frac{2 \sqrt{e x +d}\, B \,c^{2} d^{2} e}{\left(c e x +b e \right)^{2} b^{3}}-\frac{7 \left(e x +d \right)^{\frac{3}{2}} A \,c^{2} e^{2}}{4 \left(c e x +b e \right)^{2} b^{3}}-\frac{15 A c \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \sqrt{\left(b e -c d \right) c}\, b^{3}}+\frac{3 \left(e x +d \right)^{\frac{3}{2}} A \,c^{3} d e}{\left(c e x +b e \right)^{2} b^{4}}+\frac{15 A \,c^{2} d e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{4}}-\frac{12 A \,c^{3} d^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{5}}+\frac{3 \left(e x +d \right)^{\frac{3}{2}} B c \,e^{2}}{4 \left(c e x +b e \right)^{2} b^{2}}+\frac{3 B \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \sqrt{\left(b e -c d \right) c}\, b^{2}}-\frac{2 \left(e x +d \right)^{\frac{3}{2}} B \,c^{2} d e}{\left(c e x +b e \right)^{2} b^{3}}-\frac{6 B c d e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{3}}+\frac{6 B \,c^{2} d^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\sqrt{\left(b e -c d \right) c}\, b^{4}}-\frac{3 A \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{4 b^{3} \sqrt{d}}+\frac{9 A c \sqrt{d}\, e \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{4}}-\frac{12 A \,c^{2} d^{\frac{3}{2}} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{5}}-\frac{3 B \sqrt{d}\, e \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{3}}+\frac{6 B c \,d^{\frac{3}{2}} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{4}}+\frac{3 \sqrt{e x +d}\, A d}{4 b^{3} x^{2}}-\frac{3 \sqrt{e x +d}\, A c \,d^{2}}{b^{4} e \,x^{2}}+\frac{\sqrt{e x +d}\, B \,d^{2}}{b^{3} e \,x^{2}}-\frac{5 \left(e x +d \right)^{\frac{3}{2}} A}{4 b^{3} x^{2}}+\frac{3 \left(e x +d \right)^{\frac{3}{2}} A c d}{b^{4} e \,x^{2}}-\frac{\left(e x +d \right)^{\frac{3}{2}} B d}{b^{3} e \,x^{2}}"," ",0,"-12/b^5/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*c^3*d^2+6/b^4/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*c^2*d^2-15/4*e^2/b^3/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*c-7/4*e^2/b^3/(c*e*x+b*e)^2*(e*x+d)^(3/2)*A*c^2+3/4*e^2/b^2/(c*e*x+b*e)^2*(e*x+d)^(3/2)*B*c-1/e/b^3/x^2*(e*x+d)^(3/2)*B*d-9/4*e^3/b^2/(c*e*x+b*e)^2*A*(e*x+d)^(1/2)*c+9*e/b^4*d^(1/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*A*c+1/e/b^3/x^2*(e*x+d)^(1/2)*B*d^2-5/4/b^3/x^2*(e*x+d)^(3/2)*A-12/b^5*d^(3/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*A*c^2+5/4*e^3/b/(c*e*x+b*e)^2*B*(e*x+d)^(1/2)-3/4*e^2/b^3/d^(1/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*A-3*e/b^3*d^(1/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*B+6/b^4*d^(3/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*B*c+3/4/b^3/x^2*(e*x+d)^(1/2)*A*d+3/4*e^2/b^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B+3/e/b^4/x^2*(e*x+d)^(3/2)*A*c*d-3/e/b^4/x^2*(e*x+d)^(1/2)*A*c*d^2+3*e/b^4/(c*e*x+b*e)^2*(e*x+d)^(3/2)*A*c^3*d-3*e/b^4/(c*e*x+b*e)^2*A*(e*x+d)^(1/2)*c^3*d^2-13/4*e^2/b^2/(c*e*x+b*e)^2*B*(e*x+d)^(1/2)*c*d-6*e/b^3/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*c*d-2*e/b^3/(c*e*x+b*e)^2*(e*x+d)^(3/2)*B*c^2*d+21/4*e^2/b^3/(c*e*x+b*e)^2*A*(e*x+d)^(1/2)*c^2*d+2*e/b^3/(c*e*x+b*e)^2*B*(e*x+d)^(1/2)*c^2*d^2+15*e/b^4/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*c^2*d","B"
1251,1,829,289,0.076000," ","int((B*x+A)*(e*x+d)^(1/2)/(c*x^2+b*x)^3,x)","\frac{11 \left(e x +d \right)^{\frac{3}{2}} A \,c^{3} e^{2}}{4 \left(c e x +b e \right)^{2} \left(b e -c d \right) b^{3}}+\frac{35 A \,c^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \left(b e -c d \right) \sqrt{\left(b e -c d \right) c}\, b^{3}}-\frac{3 \left(e x +d \right)^{\frac{3}{2}} A \,c^{4} d e}{\left(c e x +b e \right)^{2} \left(b e -c d \right) b^{4}}-\frac{21 A \,c^{3} d e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right) \sqrt{\left(b e -c d \right) c}\, b^{4}}+\frac{12 A \,c^{4} d^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right) \sqrt{\left(b e -c d \right) c}\, b^{5}}-\frac{7 \left(e x +d \right)^{\frac{3}{2}} B \,c^{2} e^{2}}{4 \left(c e x +b e \right)^{2} \left(b e -c d \right) b^{2}}-\frac{15 B c \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \left(b e -c d \right) \sqrt{\left(b e -c d \right) c}\, b^{2}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} B \,c^{3} d e}{\left(c e x +b e \right)^{2} \left(b e -c d \right) b^{3}}+\frac{10 B \,c^{2} d e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right) \sqrt{\left(b e -c d \right) c}\, b^{3}}-\frac{6 B \,c^{3} d^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right) \sqrt{\left(b e -c d \right) c}\, b^{4}}+\frac{13 \sqrt{e x +d}\, A \,c^{2} e^{2}}{4 \left(c e x +b e \right)^{2} b^{3}}-\frac{3 \sqrt{e x +d}\, A \,c^{3} d e}{\left(c e x +b e \right)^{2} b^{4}}-\frac{9 \sqrt{e x +d}\, B c \,e^{2}}{4 \left(c e x +b e \right)^{2} b^{2}}+\frac{2 \sqrt{e x +d}\, B \,c^{2} d e}{\left(c e x +b e \right)^{2} b^{3}}+\frac{A \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{4 b^{3} d^{\frac{3}{2}}}+\frac{3 A c e \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{4} \sqrt{d}}-\frac{12 A \,c^{2} \sqrt{d}\, \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{5}}-\frac{B e \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{3} \sqrt{d}}+\frac{6 B c \sqrt{d}\, \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{4}}-\frac{\sqrt{e x +d}\, A}{4 b^{3} x^{2}}-\frac{3 \sqrt{e x +d}\, A c d}{b^{4} e \,x^{2}}+\frac{\sqrt{e x +d}\, B d}{b^{3} e \,x^{2}}-\frac{\left(e x +d \right)^{\frac{3}{2}} A}{4 b^{3} d \,x^{2}}+\frac{3 \left(e x +d \right)^{\frac{3}{2}} A c}{b^{4} e \,x^{2}}-\frac{\left(e x +d \right)^{\frac{3}{2}} B}{b^{3} e \,x^{2}}"," ",0,"-1/4/b^3/x^2*(e*x+d)^(1/2)*A-1/4/b^3/x^2/d*(e*x+d)^(3/2)*A-7/4*e^2*c^2/b^2/(c*e*x+b*e)^2/(b*e-c*d)*(e*x+d)^(3/2)*B-3*e*c^3/b^4/(c*e*x+b*e)^2*A*(e*x+d)^(1/2)*d+2*e*c^2/b^3/(c*e*x+b*e)^2*B*(e*x+d)^(1/2)*d+35/4*e^2*c^2/b^3/(b*e-c*d)/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A-15/4*e^2*c/b^2/(b*e-c*d)/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B+11/4*e^2*c^3/b^3/(c*e*x+b*e)^2/(b*e-c*d)*(e*x+d)^(3/2)*A-3/e/b^4/x^2*(e*x+d)^(1/2)*A*c*d+12*c^4/b^5/(b*e-c*d)/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^2-6*c^3/b^4/(b*e-c*d)/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^2+2*e*c^3/b^3/(c*e*x+b*e)^2/(b*e-c*d)*(e*x+d)^(3/2)*B*d-21*e*c^3/b^4/(b*e-c*d)/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d-3*e*c^4/b^4/(c*e*x+b*e)^2/(b*e-c*d)*(e*x+d)^(3/2)*A*d+10*e*c^2/b^3/(b*e-c*d)/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d+3/e/b^4/x^2*(e*x+d)^(3/2)*A*c+1/e/b^3/x^2*(e*x+d)^(1/2)*B*d+3*e/b^4/d^(1/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*A*c+13/4*e^2*c^2/b^3/(c*e*x+b*e)^2*A*(e*x+d)^(1/2)-9/4*e^2*c/b^2/(c*e*x+b*e)^2*B*(e*x+d)^(1/2)-1/e/b^3/x^2*(e*x+d)^(3/2)*B+6/b^4*d^(1/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*B*c-e/b^3/d^(1/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*B-12/b^5*d^(1/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*A*c^2+1/4*e^2/b^3/d^(3/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*A","B"
1252,1,1009,366,0.079000," ","int((B*x+A)/(e*x+d)^(1/2)/(c*x^2+b*x)^3,x)","-\frac{15 \left(e x +d \right)^{\frac{3}{2}} A \,c^{4} e^{2}}{4 \left(c e x +b e \right)^{2} \left(b^{2} e^{2}-2 b c d e +c^{2} d^{2}\right) b^{3}}-\frac{63 A \,c^{3} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \left(b^{2} e^{2}-2 b c d e +c^{2} d^{2}\right) \sqrt{\left(b e -c d \right) c}\, b^{3}}+\frac{3 \left(e x +d \right)^{\frac{3}{2}} A \,c^{5} d e}{\left(c e x +b e \right)^{2} \left(b^{2} e^{2}-2 b c d e +c^{2} d^{2}\right) b^{4}}+\frac{27 A \,c^{4} d e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b^{2} e^{2}-2 b c d e +c^{2} d^{2}\right) \sqrt{\left(b e -c d \right) c}\, b^{4}}-\frac{12 A \,c^{5} d^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b^{2} e^{2}-2 b c d e +c^{2} d^{2}\right) \sqrt{\left(b e -c d \right) c}\, b^{5}}+\frac{11 \left(e x +d \right)^{\frac{3}{2}} B \,c^{3} e^{2}}{4 \left(c e x +b e \right)^{2} \left(b^{2} e^{2}-2 b c d e +c^{2} d^{2}\right) b^{2}}+\frac{35 B \,c^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \left(b^{2} e^{2}-2 b c d e +c^{2} d^{2}\right) \sqrt{\left(b e -c d \right) c}\, b^{2}}-\frac{2 \left(e x +d \right)^{\frac{3}{2}} B \,c^{4} d e}{\left(c e x +b e \right)^{2} \left(b^{2} e^{2}-2 b c d e +c^{2} d^{2}\right) b^{3}}-\frac{14 B \,c^{3} d e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b^{2} e^{2}-2 b c d e +c^{2} d^{2}\right) \sqrt{\left(b e -c d \right) c}\, b^{3}}+\frac{6 B \,c^{4} d^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b^{2} e^{2}-2 b c d e +c^{2} d^{2}\right) \sqrt{\left(b e -c d \right) c}\, b^{4}}-\frac{17 \sqrt{e x +d}\, A \,c^{3} e^{2}}{4 \left(c e x +b e \right)^{2} \left(b e -c d \right) b^{3}}+\frac{3 \sqrt{e x +d}\, A \,c^{4} d e}{\left(c e x +b e \right)^{2} \left(b e -c d \right) b^{4}}+\frac{13 \sqrt{e x +d}\, B \,c^{2} e^{2}}{4 \left(c e x +b e \right)^{2} \left(b e -c d \right) b^{2}}-\frac{2 \sqrt{e x +d}\, B \,c^{3} d e}{\left(c e x +b e \right)^{2} \left(b e -c d \right) b^{3}}-\frac{3 A \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{4 b^{3} d^{\frac{5}{2}}}-\frac{3 A c e \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{4} d^{\frac{3}{2}}}-\frac{12 A \,c^{2} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{5} \sqrt{d}}+\frac{B e \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{3} d^{\frac{3}{2}}}+\frac{6 B c \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{4} \sqrt{d}}-\frac{5 \sqrt{e x +d}\, A}{4 b^{3} d \,x^{2}}-\frac{3 \sqrt{e x +d}\, A c}{b^{4} e \,x^{2}}+\frac{\sqrt{e x +d}\, B}{b^{3} e \,x^{2}}+\frac{3 \left(e x +d \right)^{\frac{3}{2}} A}{4 b^{3} d^{2} x^{2}}+\frac{3 \left(e x +d \right)^{\frac{3}{2}} A c}{b^{4} d e \,x^{2}}-\frac{\left(e x +d \right)^{\frac{3}{2}} B}{b^{3} d e \,x^{2}}"," ",0,"-3/e/b^4/x^2*(e*x+d)^(1/2)*A*c-3*e/b^4/d^(3/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*A*c-1/e/b^3/x^2/d*(e*x+d)^(3/2)*B-2*e*c^3/b^3/(c*e*x+b*e)^2/(b*e-c*d)*(e*x+d)^(1/2)*B*d+3*e*c^4/b^4/(c*e*x+b*e)^2/(b*e-c*d)*(e*x+d)^(1/2)*A*d+3*e*c^5/b^4/(c*e*x+b*e)^2/(b^2*e^2-2*b*c*d*e+c^2*d^2)*(e*x+d)^(3/2)*A*d-2*e*c^4/b^3/(c*e*x+b*e)^2/(b^2*e^2-2*b*c*d*e+c^2*d^2)*(e*x+d)^(3/2)*B*d-14*e*c^3/b^3/(b^2*e^2-2*b*c*d*e+c^2*d^2)/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d+27*e*c^4/b^4/(b^2*e^2-2*b*c*d*e+c^2*d^2)/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d-5/4/b^3/x^2/d*(e*x+d)^(1/2)*A+3/4/b^3/x^2/d^2*(e*x+d)^(3/2)*A+6/b^4/d^(1/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*B*c+e/b^3/d^(3/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*B-12/b^5/d^(1/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*A*c^2+1/e/b^3/x^2*(e*x+d)^(1/2)*B-3/4*e^2/b^3/d^(5/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*A-63/4*e^2*c^3/b^3/(b^2*e^2-2*b*c*d*e+c^2*d^2)/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A+35/4*e^2*c^2/b^2/(b^2*e^2-2*b*c*d*e+c^2*d^2)/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B+6*c^4/b^4/(b^2*e^2-2*b*c*d*e+c^2*d^2)/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^2-12*c^5/b^5/(b^2*e^2-2*b*c*d*e+c^2*d^2)/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^2+3/e/b^4/x^2/d*(e*x+d)^(3/2)*A*c-15/4*e^2*c^4/b^3/(c*e*x+b*e)^2/(b^2*e^2-2*b*c*d*e+c^2*d^2)*(e*x+d)^(3/2)*A+11/4*e^2*c^3/b^2/(c*e*x+b*e)^2/(b^2*e^2-2*b*c*d*e+c^2*d^2)*(e*x+d)^(3/2)*B-17/4*e^2*c^3/b^3/(c*e*x+b*e)^2/(b*e-c*d)*(e*x+d)^(1/2)*A+13/4*e^2*c^2/b^2/(c*e*x+b*e)^2/(b*e-c*d)*(e*x+d)^(1/2)*B","B"
1253,1,1022,476,0.100000," ","int((B*x+A)/(e*x+d)^(3/2)/(c*x^2+b*x)^3,x)","\frac{21 \sqrt{e x +d}\, A \,c^{4} e^{3}}{4 \left(b e -c d \right)^{3} \left(c e x +b e \right)^{2} b^{2}}-\frac{33 \sqrt{e x +d}\, A \,c^{5} d \,e^{2}}{4 \left(b e -c d \right)^{3} \left(c e x +b e \right)^{2} b^{3}}+\frac{3 \sqrt{e x +d}\, A \,c^{6} d^{2} e}{\left(b e -c d \right)^{3} \left(c e x +b e \right)^{2} b^{4}}-\frac{17 \sqrt{e x +d}\, B \,c^{3} e^{3}}{4 \left(b e -c d \right)^{3} \left(c e x +b e \right)^{2} b}+\frac{25 \sqrt{e x +d}\, B \,c^{4} d \,e^{2}}{4 \left(b e -c d \right)^{3} \left(c e x +b e \right)^{2} b^{2}}-\frac{2 \sqrt{e x +d}\, B \,c^{5} d^{2} e}{\left(b e -c d \right)^{3} \left(c e x +b e \right)^{2} b^{3}}+\frac{19 \left(e x +d \right)^{\frac{3}{2}} A \,c^{5} e^{2}}{4 \left(b e -c d \right)^{3} \left(c e x +b e \right)^{2} b^{3}}+\frac{99 A \,c^{4} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \left(b e -c d \right)^{3} \sqrt{\left(b e -c d \right) c}\, b^{3}}-\frac{3 \left(e x +d \right)^{\frac{3}{2}} A \,c^{6} d e}{\left(b e -c d \right)^{3} \left(c e x +b e \right)^{2} b^{4}}-\frac{33 A \,c^{5} d e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{3} \sqrt{\left(b e -c d \right) c}\, b^{4}}+\frac{12 A \,c^{6} d^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{3} \sqrt{\left(b e -c d \right) c}\, b^{5}}-\frac{15 \left(e x +d \right)^{\frac{3}{2}} B \,c^{4} e^{2}}{4 \left(b e -c d \right)^{3} \left(c e x +b e \right)^{2} b^{2}}-\frac{63 B \,c^{3} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \left(b e -c d \right)^{3} \sqrt{\left(b e -c d \right) c}\, b^{2}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} B \,c^{5} d e}{\left(b e -c d \right)^{3} \left(c e x +b e \right)^{2} b^{3}}+\frac{18 B \,c^{4} d e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{3} \sqrt{\left(b e -c d \right) c}\, b^{3}}-\frac{6 B \,c^{5} d^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{3} \sqrt{\left(b e -c d \right) c}\, b^{4}}+\frac{2 A \,e^{5}}{\left(b e -c d \right)^{3} \sqrt{e x +d}\, d^{3}}-\frac{2 B \,e^{4}}{\left(b e -c d \right)^{3} \sqrt{e x +d}\, d^{2}}-\frac{15 A \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{4 b^{3} d^{\frac{7}{2}}}-\frac{9 A c e \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{4} d^{\frac{5}{2}}}-\frac{12 A \,c^{2} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{5} d^{\frac{3}{2}}}+\frac{3 B e \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{3} d^{\frac{5}{2}}}+\frac{6 B c \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{4} d^{\frac{3}{2}}}-\frac{9 \sqrt{e x +d}\, A}{4 b^{3} d^{2} x^{2}}-\frac{3 \sqrt{e x +d}\, A c}{b^{4} d e \,x^{2}}+\frac{\sqrt{e x +d}\, B}{b^{3} d e \,x^{2}}+\frac{7 \left(e x +d \right)^{\frac{3}{2}} A}{4 b^{3} d^{3} x^{2}}+\frac{3 \left(e x +d \right)^{\frac{3}{2}} A c}{b^{4} d^{2} e \,x^{2}}-\frac{\left(e x +d \right)^{\frac{3}{2}} B}{b^{3} d^{2} e \,x^{2}}"," ",0,"18*e*c^4/(b*e-c*d)^3/b^3/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d+2*e*c^5/(b*e-c*d)^3/b^3/(c*e*x+b*e)^2*(e*x+d)^(3/2)*B*d-3*e*c^6/(b*e-c*d)^3/b^4/(c*e*x+b*e)^2*(e*x+d)^(3/2)*A*d+3*e*c^6/(b*e-c*d)^3/b^4/(c*e*x+b*e)^2*A*(e*x+d)^(1/2)*d^2-33/4*e^2*c^5/(b*e-c*d)^3/b^3/(c*e*x+b*e)^2*A*(e*x+d)^(1/2)*d+25/4*e^2*c^4/(b*e-c*d)^3/b^2/(c*e*x+b*e)^2*B*(e*x+d)^(1/2)*d-33*e*c^5/(b*e-c*d)^3/b^4/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d-2*e*c^5/(b*e-c*d)^3/b^3/(c*e*x+b*e)^2*B*(e*x+d)^(1/2)*d^2+2*e^5/(b*e-c*d)^3/d^3/(e*x+d)^(1/2)*A+3*e/b^3/d^(5/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*B-2*e^4/(b*e-c*d)^3/d^2/(e*x+d)^(1/2)*B-15/4*e^2/b^3/d^(7/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*A-9/4/b^3/d^2/x^2*(e*x+d)^(1/2)*A-12/b^5/d^(3/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*A*c^2+6/b^4/d^(3/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*B*c+7/4/b^3/d^3/x^2*A*(e*x+d)^(3/2)+3/e/b^4/d^2/x^2*A*(e*x+d)^(3/2)*c-3/e/b^4/d/x^2*(e*x+d)^(1/2)*A*c+19/4*e^2*c^5/(b*e-c*d)^3/b^3/(c*e*x+b*e)^2*(e*x+d)^(3/2)*A-15/4*e^2*c^4/(b*e-c*d)^3/b^2/(c*e*x+b*e)^2*(e*x+d)^(3/2)*B+21/4*e^3*c^4/(b*e-c*d)^3/b^2/(c*e*x+b*e)^2*A*(e*x+d)^(1/2)-17/4*e^3*c^3/(b*e-c*d)^3/b/(c*e*x+b*e)^2*B*(e*x+d)^(1/2)+99/4*e^2*c^4/(b*e-c*d)^3/b^3/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A+12*c^6/(b*e-c*d)^3/b^5/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^2-6*c^5/(b*e-c*d)^3/b^4/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^2-63/4*e^2*c^3/(b*e-c*d)^3/b^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B+1/e/b^3/d/x^2*(e*x+d)^(1/2)*B-9*e/b^4/d^(5/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*A*c-1/e/b^3/d^2/x^2*B*(e*x+d)^(3/2)","B"
1254,1,1130,610,0.090000," ","int((B*x+A)/(e*x+d)^(5/2)/(c*x^2+b*x)^3,x)","-\frac{25 \sqrt{e x +d}\, A \,c^{5} e^{3}}{4 \left(b e -c d \right)^{4} \left(c e x +b e \right)^{2} b^{2}}+\frac{37 \sqrt{e x +d}\, A \,c^{6} d \,e^{2}}{4 \left(b e -c d \right)^{4} \left(c e x +b e \right)^{2} b^{3}}-\frac{3 \sqrt{e x +d}\, A \,c^{7} d^{2} e}{\left(b e -c d \right)^{4} \left(c e x +b e \right)^{2} b^{4}}+\frac{21 \sqrt{e x +d}\, B \,c^{4} e^{3}}{4 \left(b e -c d \right)^{4} \left(c e x +b e \right)^{2} b}-\frac{29 \sqrt{e x +d}\, B \,c^{5} d \,e^{2}}{4 \left(b e -c d \right)^{4} \left(c e x +b e \right)^{2} b^{2}}+\frac{2 \sqrt{e x +d}\, B \,c^{6} d^{2} e}{\left(b e -c d \right)^{4} \left(c e x +b e \right)^{2} b^{3}}-\frac{23 \left(e x +d \right)^{\frac{3}{2}} A \,c^{6} e^{2}}{4 \left(b e -c d \right)^{4} \left(c e x +b e \right)^{2} b^{3}}-\frac{143 A \,c^{5} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \left(b e -c d \right)^{4} \sqrt{\left(b e -c d \right) c}\, b^{3}}+\frac{3 \left(e x +d \right)^{\frac{3}{2}} A \,c^{7} d e}{\left(b e -c d \right)^{4} \left(c e x +b e \right)^{2} b^{4}}+\frac{39 A \,c^{6} d e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{4} \sqrt{\left(b e -c d \right) c}\, b^{4}}-\frac{12 A \,c^{7} d^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{4} \sqrt{\left(b e -c d \right) c}\, b^{5}}+\frac{19 \left(e x +d \right)^{\frac{3}{2}} B \,c^{5} e^{2}}{4 \left(b e -c d \right)^{4} \left(c e x +b e \right)^{2} b^{2}}+\frac{99 B \,c^{4} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{4 \left(b e -c d \right)^{4} \sqrt{\left(b e -c d \right) c}\, b^{2}}-\frac{2 \left(e x +d \right)^{\frac{3}{2}} B \,c^{6} d e}{\left(b e -c d \right)^{4} \left(c e x +b e \right)^{2} b^{3}}-\frac{22 B \,c^{5} d e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{4} \sqrt{\left(b e -c d \right) c}\, b^{3}}+\frac{6 B \,c^{6} d^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(b e -c d \right) c}}\right)}{\left(b e -c d \right)^{4} \sqrt{\left(b e -c d \right) c}\, b^{4}}+\frac{6 A b \,e^{6}}{\left(b e -c d \right)^{4} \sqrt{e x +d}\, d^{4}}-\frac{12 A c \,e^{5}}{\left(b e -c d \right)^{4} \sqrt{e x +d}\, d^{3}}-\frac{4 B b \,e^{5}}{\left(b e -c d \right)^{4} \sqrt{e x +d}\, d^{3}}+\frac{10 B c \,e^{4}}{\left(b e -c d \right)^{4} \sqrt{e x +d}\, d^{2}}+\frac{2 A \,e^{5}}{3 \left(b e -c d \right)^{3} \left(e x +d \right)^{\frac{3}{2}} d^{3}}-\frac{2 B \,e^{4}}{3 \left(b e -c d \right)^{3} \left(e x +d \right)^{\frac{3}{2}} d^{2}}-\frac{35 A \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{4 b^{3} d^{\frac{9}{2}}}-\frac{15 A c e \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{4} d^{\frac{7}{2}}}-\frac{12 A \,c^{2} \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{5} d^{\frac{5}{2}}}+\frac{5 B e \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{3} d^{\frac{7}{2}}}+\frac{6 B c \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{b^{4} d^{\frac{5}{2}}}-\frac{13 \sqrt{e x +d}\, A}{4 b^{3} d^{3} x^{2}}-\frac{3 \sqrt{e x +d}\, A c}{b^{4} d^{2} e \,x^{2}}+\frac{\sqrt{e x +d}\, B}{b^{3} d^{2} e \,x^{2}}+\frac{11 \left(e x +d \right)^{\frac{3}{2}} A}{4 b^{3} d^{4} x^{2}}+\frac{3 \left(e x +d \right)^{\frac{3}{2}} A c}{b^{4} d^{3} e \,x^{2}}-\frac{\left(e x +d \right)^{\frac{3}{2}} B}{b^{3} d^{3} e \,x^{2}}"," ",0,"-29/4*e^2*c^5/(b*e-c*d)^4/b^2/(c*e*x+b*e)^2*B*(e*x+d)^(1/2)*d+2*e*c^6/(b*e-c*d)^4/b^3/(c*e*x+b*e)^2*B*(e*x+d)^(1/2)*d^2+39*e*c^6/(b*e-c*d)^4/b^4/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d-22*e*c^5/(b*e-c*d)^4/b^3/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d-3*e*c^7/(b*e-c*d)^4/b^4/(c*e*x+b*e)^2*A*(e*x+d)^(1/2)*d^2-2*e*c^6/(b*e-c*d)^4/b^3/(c*e*x+b*e)^2*(e*x+d)^(3/2)*B*d+3*e*c^7/(b*e-c*d)^4/b^4/(c*e*x+b*e)^2*(e*x+d)^(3/2)*A*d+37/4*e^2*c^6/(b*e-c*d)^4/b^3/(c*e*x+b*e)^2*A*(e*x+d)^(1/2)*d-35/4*e^2/b^3/d^(9/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*A+5*e/b^3/d^(7/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*B-12/b^5/d^(5/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*A*c^2+6/b^4/d^(5/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*B*c+11/4/b^3/d^4/x^2*A*(e*x+d)^(3/2)-13/4/b^3/d^3/x^2*(e*x+d)^(1/2)*A-2/3*e^4/(b*e-c*d)^3/d^2/(e*x+d)^(3/2)*B+2/3*e^5/(b*e-c*d)^3/d^3/(e*x+d)^(3/2)*A-1/e/b^3/d^3/x^2*B*(e*x+d)^(3/2)+1/e/b^3/d^2/x^2*(e*x+d)^(1/2)*B+10*e^4/(b*e-c*d)^4/d^2/(e*x+d)^(1/2)*B*c+6*e^6/(b*e-c*d)^4/d^4/(e*x+d)^(1/2)*A*b-12*e^5/(b*e-c*d)^4/d^3/(e*x+d)^(1/2)*A*c-4*e^5/(b*e-c*d)^4/d^3/(e*x+d)^(1/2)*B*b-15*e/b^4/d^(7/2)*arctanh((e*x+d)^(1/2)/d^(1/2))*A*c-3/e/b^4/d^2/x^2*(e*x+d)^(1/2)*A*c-12*c^7/(b*e-c*d)^4/b^5/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A*d^2+6*c^6/(b*e-c*d)^4/b^4/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B*d^2-23/4*e^2*c^6/(b*e-c*d)^4/b^3/(c*e*x+b*e)^2*(e*x+d)^(3/2)*A+19/4*e^2*c^5/(b*e-c*d)^4/b^2/(c*e*x+b*e)^2*(e*x+d)^(3/2)*B-25/4*e^3*c^5/(b*e-c*d)^4/b^2/(c*e*x+b*e)^2*A*(e*x+d)^(1/2)+21/4*e^3*c^4/(b*e-c*d)^4/b/(c*e*x+b*e)^2*B*(e*x+d)^(1/2)-143/4*e^2*c^5/(b*e-c*d)^4/b^3/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*A+99/4*e^2*c^4/(b*e-c*d)^4/b^2/((b*e-c*d)*c)^(1/2)*arctan((e*x+d)^(1/2)/((b*e-c*d)*c)^(1/2)*c)*B+3/e/b^4/d^3/x^2*A*(e*x+d)^(3/2)*c","A"
1255,1,1526,379,0.136000," ","int((B*x+A)*(e*x+d)^(1/2)*(c*x^2+b*x)^(1/2),x)","\frac{2 \sqrt{e x +d}\, \sqrt{\left(c x +b \right) x}\, \left(15 B \,c^{5} e^{4} x^{5}+21 A \,c^{5} e^{4} x^{4}+18 B b \,c^{4} e^{4} x^{4}+18 B \,c^{5} d \,e^{3} x^{4}+28 A b \,c^{4} e^{4} x^{3}+28 A \,c^{5} d \,e^{3} x^{3}-B \,b^{2} c^{3} e^{4} x^{3}+23 B b \,c^{4} d \,e^{3} x^{3}-B \,c^{5} d^{2} e^{2} x^{3}+7 A \,b^{2} c^{3} e^{4} x^{2}+35 A b \,c^{4} d \,e^{3} x^{2}+7 A \,c^{5} d^{2} e^{2} x^{2}-4 B \,b^{3} c^{2} e^{4} x^{2}+B \,b^{2} c^{3} d \,e^{3} x^{2}+B b \,c^{4} d^{2} e^{2} x^{2}-4 B \,c^{5} d^{3} e \,x^{2}+14 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{4} c \,e^{4} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-28 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c^{2} d \,e^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+7 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c^{2} d \,e^{3} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+28 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{3} d^{2} e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-21 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{3} d^{2} e^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+7 A \,b^{2} c^{3} d \,e^{3} x -14 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{4} d^{3} e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+14 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{4} d^{3} e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+7 A b \,c^{4} d^{2} e^{2} x -8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{5} e^{4} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+13 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} c d \,e^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-4 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} c d \,e^{3} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+3 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c^{2} d^{2} e^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-4 B \,b^{3} c^{2} d \,e^{3} x -13 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{3} d^{3} e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+9 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{3} d^{3} e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+2 B \,b^{2} c^{3} d^{2} e^{2} x +8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{4} d^{4} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{4} d^{4} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-4 B b \,c^{4} d^{3} e x \right)}{105 \left(c e \,x^{2}+b e x +c d x +b d \right) c^{4} e^{3} x}"," ",0,"2/105*(e*x+d)^(1/2)*((c*x+b)*x)^(1/2)*(14*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*((c*x+b)/b)^(1/2)*(-(e*x+d)*c/(b*e-c*d))^(1/2)*(-1/b*c*x)^(1/2)*b^4*c*e^4-4*B*x*b*c^4*d^3*e+7*A*x^2*c^5*d^2*e^2-4*B*x^2*b^3*c^2*e^4-4*B*x^2*c^5*d^3*e+18*B*x^4*b*c^4*e^4+18*B*x^4*c^5*d*e^3+28*A*x^3*b*c^4*e^4+28*A*x^3*c^5*d*e^3-B*x^3*b^2*c^3*e^4-B*x^3*c^5*d^2*e^2+7*A*x^2*b^2*c^3*e^4-13*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*((c*x+b)/b)^(1/2)*(-(e*x+d)*c/(b*e-c*d))^(1/2)*(-1/b*c*x)^(1/2)*b^2*c^3*d^3*e-4*B*((c*x+b)/b)^(1/2)*(-(e*x+d)*c/(b*e-c*d))^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*c*d*e^3+3*B*((c*x+b)/b)^(1/2)*(-(e*x+d)*c/(b*e-c*d))^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c^2*d^2*e^2+8*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*((c*x+b)/b)^(1/2)*(-(e*x+d)*c/(b*e-c*d))^(1/2)*(-1/b*c*x)^(1/2)*b*c^4*d^4-8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)*c/(b*e-c*d))^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^4*d^4+9*B*((c*x+b)/b)^(1/2)*(-(e*x+d)*c/(b*e-c*d))^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^3*d^3*e-28*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*((c*x+b)/b)^(1/2)*(-(e*x+d)*c/(b*e-c*d))^(1/2)*(-1/b*c*x)^(1/2)*b^3*c^2*d*e^3+28*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*((c*x+b)/b)^(1/2)*(-(e*x+d)*c/(b*e-c*d))^(1/2)*(-1/b*c*x)^(1/2)*b^2*c^3*d^2*e^2-14*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*((c*x+b)/b)^(1/2)*(-(e*x+d)*c/(b*e-c*d))^(1/2)*(-1/b*c*x)^(1/2)*b*c^4*d^3*e+7*A*((c*x+b)/b)^(1/2)*(-(e*x+d)*c/(b*e-c*d))^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c^2*d*e^3-21*A*((c*x+b)/b)^(1/2)*(-(e*x+d)*c/(b*e-c*d))^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^3*d^2*e^2+14*A*((c*x+b)/b)^(1/2)*(-(e*x+d)*c/(b*e-c*d))^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^4*d^3*e+13*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*((c*x+b)/b)^(1/2)*(-(e*x+d)*c/(b*e-c*d))^(1/2)*(-1/b*c*x)^(1/2)*b^4*c*d*e^3-4*B*x*b^3*c^2*d*e^3+2*B*x*b^2*c^3*d^2*e^2+7*A*x*b^2*c^3*d*e^3+7*A*x*b*c^4*d^2*e^2+B*x^2*b^2*c^3*d*e^3+B*x^2*b*c^4*d^2*e^2+35*A*x^2*b*c^4*d*e^3+23*B*x^3*b*c^4*d*e^3+15*B*x^5*c^5*e^4+21*A*x^4*c^5*e^4-8*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*((c*x+b)/b)^(1/2)*(-(e*x+d)*c/(b*e-c*d))^(1/2)*(-1/b*c*x)^(1/2)*b^5*e^4)/x/(c*e*x^2+b*e*x+c*d*x+b*d)/c^4/e^3","B"
1256,1,1129,270,0.087000," ","int((B*x+A)*(c*x^2+b*x)^(1/2)/(e*x+d)^(1/2),x)","-\frac{2 \sqrt{\left(c x +b \right) x}\, \sqrt{e x +d}\, \left(-3 B \,c^{4} e^{3} x^{4}-5 A \,c^{4} e^{3} x^{3}-4 B b \,c^{3} e^{3} x^{3}+B \,c^{4} d \,e^{2} x^{3}-5 A b \,c^{3} e^{3} x^{2}-5 A \,c^{4} d \,e^{2} x^{2}-B \,b^{2} c^{2} e^{3} x^{2}+4 B \,c^{4} d^{2} e \,x^{2}+5 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c \,e^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-15 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{2} d \,e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+10 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{2} d \,e^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+10 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{3} d^{2} e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-10 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{3} d^{2} e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-5 A b \,c^{3} d \,e^{2} x -2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} e^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c d \,e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c d \,e^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+11 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{2} d^{2} e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-7 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{2} d^{2} e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-B \,b^{2} c^{2} d \,e^{2} x -8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{3} d^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{3} d^{3} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+4 B b \,c^{3} d^{2} e x \right)}{15 \left(c e \,x^{2}+b e x +c d x +b d \right) c^{3} e^{3} x}"," ",0,"-2/15*((c*x+b)*x)^(1/2)*(e*x+d)^(1/2)*(10*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d*e^2-10*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^2*e+5*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*e^3-15*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d*e^2+10*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^2*e-B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*d*e^2-7*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^2*e+8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^3-2*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*e^3-B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*d*e^2+11*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^2*e-8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^3-3*B*x^4*c^4*e^3-5*A*x^3*c^4*e^3-4*B*x^3*b*c^3*e^3+B*x^3*c^4*d*e^2-5*A*x^2*b*c^3*e^3-5*A*x^2*c^4*d*e^2-B*x^2*b^2*c^2*e^3+4*B*x^2*c^4*d^2*e-5*A*x*b*c^3*d*e^2-B*x*b^2*c^2*d*e^2+4*B*x*b*c^3*d^2*e)/x/(c*e*x^2+b*e*x+c*d*x+b*d)/e^3/c^3","B"
1257,1,804,235,0.101000," ","int((B*x+A)*(c*x^2+b*x)^(1/2)/(e*x+d)^(3/2),x)","\frac{2 \sqrt{\left(c x +b \right) x}\, \sqrt{e x +d}\, \left(B \,c^{3} e^{2} x^{3}-3 A \,c^{3} e^{2} x^{2}+B b \,c^{2} e^{2} x^{2}+4 B \,c^{3} d e \,x^{2}-6 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c \,e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+3 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c \,e^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+6 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{2} d e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-6 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{2} d e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-3 A b \,c^{2} e^{2} x -\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+9 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c d e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-5 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c d e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{2} d^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{2} d^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+4 B b \,c^{2} d e x \right)}{3 \left(c e \,x^{2}+b e x +c d x +b d \right) c^{2} e^{3} x}"," ",0,"2/3*((c*x+b)*x)^(1/2)*(e*x+d)^(1/2)*(3*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-6*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^2*d*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-6*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+6*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^2*d*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-5*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c*d*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+8*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^2*d^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+9*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c*d*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-8*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^2*d^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+B*x^3*c^3*e^2-3*A*x^2*c^3*e^2+B*x^2*b*c^2*e^2+4*B*x^2*c^3*d*e-3*A*x*b*c^2*e^2+4*B*x*b*c^2*d*e)/x/(c*e*x^2+b*e*x+c*d*x+b*d)/e^3/c^2","B"
1258,1,1959,298,0.156000," ","int((B*x+A)*(c*x^2+b*x)^(1/2)/(e*x+d)^(5/2),x)","\frac{2 \left(A b \,c^{2} e^{4} x^{3}-2 A \,c^{3} d \,e^{3} x^{3}-4 B b \,c^{2} d \,e^{3} x^{3}+5 B \,c^{3} d^{2} e^{2} x^{3}+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} e^{4} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-3 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c d \,e^{3} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c d \,e^{3} x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+A \,b^{2} c \,e^{4} x^{2}+2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{2} d^{2} e^{2} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{2} d^{2} e^{2} x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-2 A b \,c^{2} d \,e^{3} x^{2}-A \,c^{3} d^{2} e^{2} x^{2}-7 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} d \,e^{3} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+3 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} d \,e^{3} x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+15 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c \,d^{2} e^{2} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-11 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c \,d^{2} e^{2} x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-4 B \,b^{2} c d \,e^{3} x^{2}-8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{2} d^{3} e x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{2} d^{3} e x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+2 B b \,c^{2} d^{2} e^{2} x^{2}+4 B \,c^{3} d^{3} e \,x^{2}+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} d \,e^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-3 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c \,d^{2} e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c \,d^{2} e^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{2} d^{3} e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{2} d^{3} e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-A b \,c^{2} d^{2} e^{2} x -7 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} d^{2} e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+3 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} d^{2} e^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+15 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c \,d^{3} e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-11 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c \,d^{3} e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-3 B \,b^{2} c \,d^{2} e^{2} x -8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{2} d^{4} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{2} d^{4} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+4 B b \,c^{2} d^{3} e x \right) \sqrt{\left(c x +b \right) x}}{3 \left(b e -c d \right) \left(c x +b \right) \left(e x +d \right)^{\frac{3}{2}} c d \,e^{3} x}"," ",0,"2/3*(-4*B*x^3*b*c^2*d*e^3+5*B*x^3*c^3*d^2*e^2+8*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^2*d^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*d*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-7*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*d^2*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-8*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^2*d^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+3*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*d^2*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+A*x^2*b^2*c*e^4-A*x^2*c^3*d^2*e^2+A*x^3*b*c^2*e^4-2*A*x^3*c^3*d*e^3+4*B*x^2*c^3*d^3*e-2*A*x^2*b*c^2*d*e^3-4*B*x^2*b^2*c*d*e^3+2*B*x^2*b*c^2*d^2*e^2-A*x*b*c^2*d^2*e^2-3*B*x*b^2*c*d^2*e^2+4*B*x*b*c^2*d^3*e+15*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c*d^3*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+3*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*d*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-3*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c*d^2*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+2*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^2*d^3*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+2*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c*d^2*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-2*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^2*d^3*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-7*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*d*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-11*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c*d^3*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-3*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c*d*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+2*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^2*d^2*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+2*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c*d*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-2*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^2*d^2*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+15*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c*d^2*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-8*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^2*d^3*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-11*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c*d^2*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+8*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^2*d^3*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2))*((c*x+b)*x)^(1/2)/c/(b*e-c*d)/d/(c*x+b)/x/e^3/(e*x+d)^(3/2)","B"
1259,1,3831,440,0.127000," ","int((B*x+A)*(c*x^2+b*x)^(1/2)/(e*x+d)^(7/2),x)","\text{output too large to display}"," ",0,"2/15*(-2*A*x^4*b*c^3*d*e^5+3*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^4*d*e^5*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+4*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*d*e^5*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-17*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^5*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+6*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*d^2*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-4*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+4*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-2*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^5*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+A*x^2*c^4*d^4*e^2-8*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c*d^2*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-3*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+2*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^5*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-16*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+21*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^5*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+9*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+2*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^4*e^6*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+2*A*x^4*b^2*c^2*e^6+4*B*x^2*c^4*d^5*e+6*A*x^3*c^4*d^3*e^3+9*B*x^3*c^4*d^4*e^2+2*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*d^2*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+3*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-8*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^6*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+8*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^6*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+2*A*x^4*c^4*d^2*e^4+8*B*x^4*c^4*d^3*e^3+2*A*x^3*b^3*c*e^6+8*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^2*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-4*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^3*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+2*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c*d^2*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-6*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^2*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+A*x*b^2*c^2*d^3*e^3+A*x*b*c^3*d^4*e^2-6*B*x*b^2*c^2*d^4*e^2+4*B*x*b*c^3*d^5*e+3*B*x^4*b^2*c^2*d*e^5-13*B*x^4*b*c^3*d^2*e^4+3*A*x^3*b^2*c^2*d*e^5-5*A*x^3*b*c^3*d^2*e^4+3*B*x^3*b^3*c*d*e^5-13*B*x^3*b^2*c^2*d^2*e^4-5*B*x^3*b*c^3*d^3*e^3+5*A*x^2*b^3*c*d*e^5-7*A*x^2*b^2*c^2*d^2*e^4+7*A*x^2*b*c^3*d^3*e^3-13*B*x^2*b^2*c^2*d^3*e^3+3*B*x^2*b*c^3*d^4*e^2+21*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^2*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-8*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b*c^3*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+9*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c*d^2*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-17*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^2*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+8*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b*c^3*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-2*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b*c^3*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c*d*e^5*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+42*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^2*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-16*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^3*d^5*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+18*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-34*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^2*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+16*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^3*d^5*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-16*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c*d^2*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+4*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^3*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-32*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+4*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^2*d^2*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-4*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c*d*e^5*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-3*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^2*d^2*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+2*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b*c^3*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2))*((c*x+b)*x)^(1/2)/c/(b*e-c*d)^2/d^2/(c*x+b)/x/e^3/(e*x+d)^(5/2)","B"
1260,1,2112,520,0.085000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/(e*x+d)^(1/2),x)","\frac{2 \sqrt{\left(c x +b \right) x}\, \sqrt{e x +d}\, \left(35 B \,c^{6} e^{5} x^{6}+45 A \,c^{6} e^{5} x^{5}+85 B b \,c^{5} e^{5} x^{5}-5 B \,c^{6} d \,e^{4} x^{5}+117 A b \,c^{5} e^{5} x^{4}-9 A \,c^{6} d \,e^{4} x^{4}+53 B \,b^{2} c^{4} e^{5} x^{4}-16 B b \,c^{5} d \,e^{4} x^{4}+8 B \,c^{6} d^{2} e^{3} x^{4}+81 A \,b^{2} c^{4} e^{5} x^{3}-36 A b \,c^{5} d \,e^{4} x^{3}+18 A \,c^{6} d^{2} e^{3} x^{3}-B \,b^{3} c^{3} e^{5} x^{3}-14 B \,b^{2} c^{4} d \,e^{4} x^{3}+31 B b \,c^{5} d^{2} e^{3} x^{3}-16 B \,c^{6} d^{3} e^{2} x^{3}+9 A \,b^{3} c^{3} e^{5} x^{2}-18 A \,b^{2} c^{4} d \,e^{4} x^{2}-81 A b \,c^{5} d^{2} e^{3} x^{2}+72 A \,c^{6} d^{3} e^{2} x^{2}-4 B \,b^{4} c^{2} e^{5} x^{2}-7 B \,b^{3} c^{3} d \,e^{4} x^{2}+17 B \,b^{2} c^{4} d^{2} e^{3} x^{2}+68 B b \,c^{5} d^{3} e^{2} x^{2}-64 B \,c^{6} d^{4} e \,x^{2}+18 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{5} c \,e^{5} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+18 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{4} c^{2} d \,e^{4} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+9 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{4} c^{2} d \,e^{4} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-252 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c^{3} d^{2} e^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+135 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c^{3} d^{2} e^{3} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+9 A \,b^{3} c^{3} d \,e^{4} x +360 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{4} d^{3} e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-288 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{4} d^{3} e^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-99 A \,b^{2} c^{4} d^{2} e^{3} x -144 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{5} d^{4} e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+144 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{5} d^{4} e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+72 A b \,c^{5} d^{3} e^{2} x -8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{6} e^{5} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-3 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{5} c d \,e^{4} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-4 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{5} c d \,e^{4} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-16 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} c^{2} d^{2} e^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-5 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} c^{2} d^{2} e^{3} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-4 B \,b^{4} c^{2} d \,e^{4} x +211 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c^{3} d^{3} e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-111 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c^{3} d^{3} e^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-6 B \,b^{3} c^{3} d^{2} e^{3} x -312 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{4} d^{4} e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+248 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{4} d^{4} e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+84 B \,b^{2} c^{4} d^{3} e^{2} x +128 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{5} d^{5} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-128 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{5} d^{5} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-64 B b \,c^{5} d^{4} e x \right)}{315 \left(c e \,x^{2}+b e x +c d x +b d \right) c^{4} e^{5} x}"," ",0,"2/315*((c*x+b)*x)^(1/2)*(e*x+d)^(1/2)*(-64*B*x*b*c^5*d^4*e+18*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*c^2*d*e^4+9*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*c^2*d*e^4+135*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c^3*d^2*e^3-288*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^4*d^3*e^2+144*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^5*d^4*e+85*B*x^5*b*c^5*e^5-252*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c^3*d^2*e^3+360*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^4*d^3*e^2-144*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^5*d^4*e-4*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^5*c*d*e^4-5*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*c^2*d^2*e^3-111*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c^3*d^3*e^2+248*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^4*d^4*e-3*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^5*c*d*e^4-16*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*c^2*d^2*e^3+211*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c^3*d^3*e^2-312*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^4*d^4*e+18*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^5*c*e^5+35*B*x^6*c^6*e^5+45*A*x^5*c^6*e^5-128*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^5*d^5+128*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^5*d^5+8*B*x^4*c^6*d^2*e^3+81*A*x^3*b^2*c^4*e^5+18*A*x^3*c^6*d^2*e^3-64*B*x^2*c^6*d^4*e-9*A*x^4*c^6*d*e^4+53*B*x^4*b^2*c^4*e^5-5*B*x^5*c^6*d*e^4+117*A*x^4*b*c^5*e^5-B*x^3*b^3*c^3*e^5-16*B*x^3*c^6*d^3*e^2+9*A*x^2*b^3*c^3*e^5+72*A*x^2*c^6*d^3*e^2-4*B*x^2*b^4*c^2*e^5-4*B*x*b^4*c^2*d*e^4-6*B*x*b^3*c^3*d^2*e^3+84*B*x*b^2*c^4*d^3*e^2+68*B*x^2*b*c^5*d^3*e^2+9*A*x*b^3*c^3*d*e^4-99*A*x*b^2*c^4*d^2*e^3+17*B*x^2*b^2*c^4*d^2*e^3-18*A*x^2*b^2*c^4*d*e^4-81*A*x^2*b*c^5*d^2*e^3-7*B*x^2*b^3*c^3*d*e^4-16*B*x^4*b*c^5*d*e^4-36*A*x^3*b*c^5*d*e^4-14*B*x^3*b^2*c^4*d*e^4+31*B*x^3*b*c^5*d^2*e^3+72*A*x*b*c^5*d^3*e^2-8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^6*e^5)/c^4/e^5/x/(c*e*x^2+b*e*x+c*d*x+b*d)","B"
1261,1,1610,395,0.107000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/(e*x+d)^(3/2),x)","-\frac{2 \sqrt{\left(c x +b \right) x}\, \sqrt{e x +d}\, \left(-5 B \,c^{5} e^{4} x^{5}-7 A \,c^{5} e^{4} x^{4}-13 B b \,c^{4} e^{4} x^{4}+8 B \,c^{5} d \,e^{3} x^{4}-21 A b \,c^{4} e^{4} x^{3}+14 A \,c^{5} d \,e^{3} x^{3}-9 B \,b^{2} c^{3} e^{4} x^{3}+25 B b \,c^{4} d \,e^{3} x^{3}-16 B \,c^{5} d^{2} e^{2} x^{3}-14 A \,b^{2} c^{3} e^{4} x^{2}-35 A b \,c^{4} d \,e^{3} x^{2}+56 A \,c^{5} d^{2} e^{2} x^{2}-B \,b^{3} c^{2} e^{4} x^{2}+16 B \,b^{2} c^{3} d \,e^{3} x^{2}+44 B b \,c^{4} d^{2} e^{2} x^{2}-64 B \,c^{5} d^{3} e \,x^{2}+7 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{4} c \,e^{4} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-119 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c^{2} d \,e^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+56 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c^{2} d \,e^{3} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+224 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{3} d^{2} e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-168 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{3} d^{2} e^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-49 A \,b^{2} c^{3} d \,e^{3} x -112 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{4} d^{3} e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+112 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{4} d^{3} e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+56 A b \,c^{4} d^{2} e^{2} x -2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{5} e^{4} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-9 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} c d \,e^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} c d \,e^{3} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+147 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c^{2} d^{2} e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-71 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c^{2} d^{2} e^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-B \,b^{3} c^{2} d \,e^{3} x -264 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{3} d^{3} e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+200 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{3} d^{3} e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+60 B \,b^{2} c^{3} d^{2} e^{2} x +128 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{4} d^{4} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-128 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{4} d^{4} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-64 B b \,c^{4} d^{3} e x \right)}{35 \left(c e \,x^{2}+b e x +c d x +b d \right) c^{3} e^{5} x}"," ",0,"-2/35*((c*x+b)*x)^(1/2)*(e*x+d)^(1/2)*(7*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*b^4*c*e^4-64*B*b*c^4*d^3*e*x+56*A*c^5*d^2*e^2*x^2-B*b^3*c^2*e^4*x^2-64*B*c^5*d^3*e*x^2-13*B*b*c^4*e^4*x^4+8*B*c^5*d*e^3*x^4-21*A*b*c^4*e^4*x^3+14*A*c^5*d*e^3*x^3-9*B*b^2*c^3*e^4*x^3-16*B*c^5*d^2*e^2*x^3-14*A*b^2*c^3*e^4*x^2-264*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*b^2*c^3*d^3*e-B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*c*d*e^3-71*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c^2*d^2*e^2+128*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*b*c^4*d^4-128*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^4*d^4+200*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^3*d^3*e-119*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*b^3*c^2*d*e^3+224*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*b^2*c^3*d^2*e^2-112*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*b*c^4*d^3*e+56*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c^2*d*e^3-168*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^3*d^2*e^2+112*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^4*d^3*e-9*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*b^4*c*d*e^3-B*b^3*c^2*d*e^3*x+60*B*b^2*c^3*d^2*e^2*x-49*A*b^2*c^3*d*e^3*x+56*A*b*c^4*d^2*e^2*x+16*B*b^2*c^3*d*e^3*x^2+44*B*b*c^4*d^2*e^2*x^2-35*A*b*c^4*d*e^3*x^2+25*B*b*c^4*d*e^3*x^3-5*B*c^5*e^4*x^5-7*A*c^5*e^4*x^4+147*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c^2*d^2*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-2*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*b^5*e^4)/c^3/e^5/x/(c*e*x^2+b*e*x+c*d*x+b*d)","B"
1262,1,2367,359,0.108000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/(e*x+d)^(5/2),x)","-\frac{2 \sqrt{\left(c x +b \right) x}\, \left(-3 B \,c^{4} e^{4} x^{5}-5 A \,c^{4} e^{4} x^{4}-9 B b \,c^{3} e^{4} x^{4}+8 B \,c^{4} d \,e^{3} x^{4}+15 A b \,c^{3} e^{4} x^{3}-50 A \,c^{4} d \,e^{3} x^{3}-6 B \,b^{2} c^{2} e^{4} x^{3}-39 B b \,c^{3} d \,e^{3} x^{3}+80 B \,c^{4} d^{2} e^{2} x^{3}+40 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c \,e^{4} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-15 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c \,e^{4} x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-120 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{2} d \,e^{3} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+80 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{2} d \,e^{3} x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+20 A \,b^{2} c^{2} e^{4} x^{2}+80 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{3} d^{2} e^{2} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-80 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{3} d^{2} e^{2} x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-35 A b \,c^{3} d \,e^{3} x^{2}-40 A \,c^{4} d^{2} e^{2} x^{2}+3 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} e^{4} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-91 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c d \,e^{3} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+39 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c d \,e^{3} x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+216 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{2} d^{2} e^{2} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-152 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{2} d^{2} e^{2} x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-47 B \,b^{2} c^{2} d \,e^{3} x^{2}-128 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{3} d^{3} e x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+128 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{3} d^{3} e x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+44 B b \,c^{3} d^{2} e^{2} x^{2}+64 B \,c^{4} d^{3} e \,x^{2}+40 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c d \,e^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-15 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c d \,e^{3} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-120 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{2} d^{2} e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+80 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{2} d^{2} e^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+15 A \,b^{2} c^{2} d \,e^{3} x +80 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{3} d^{3} e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-80 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{3} d^{3} e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-40 A b \,c^{3} d^{2} e^{2} x +3 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} d \,e^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-91 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c \,d^{2} e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+39 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c \,d^{2} e^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+216 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{2} d^{3} e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-152 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{2} d^{3} e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-36 B \,b^{2} c^{2} d^{2} e^{2} x -128 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{3} d^{4} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+128 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{3} d^{4} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+64 B b \,c^{3} d^{3} e x \right)}{15 \left(c x +b \right) \left(e x +d \right)^{\frac{3}{2}} c^{2} e^{5} x}"," ",0,"-2/15*((c*x+b)*x)^(1/2)*(3*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-39*B*x^3*b*c^3*d*e^3-3*B*x^5*c^4*e^4-5*A*x^4*c^4*e^4-152*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^3*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+40*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-15*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+40*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*d*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-120*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^2*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+80*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^3*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-15*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*d*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-9*B*x^4*b*c^3*e^4+3*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*d*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-128*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+128*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+80*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^2*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-80*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^3*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-91*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*d^2*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+216*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^3*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+39*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*d^2*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-40*A*x^2*c^4*d^2*e^2+64*B*x^2*c^4*d^3*e+8*B*x^4*c^4*d*e^3+15*A*x^3*b*c^3*e^4-50*A*x^3*c^4*d*e^3-6*B*x^3*b^2*c^2*e^4+80*B*x^3*c^4*d^2*e^2+20*A*x^2*b^2*c^2*e^4-35*A*x^2*b*c^3*d*e^3-47*B*x^2*b^2*c^2*d*e^3+44*B*x^2*b*c^3*d^2*e^2+15*A*x*b^2*c^2*d*e^3-40*A*x*b*c^3*d^2*e^2-36*B*x*b^2*c^2*d^2*e^2+64*B*x*b*c^3*d^3*e-120*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^2*d*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+80*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^3*d^2*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+80*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^2*d*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-80*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^3*d^2*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-91*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c*d*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+216*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^2*d^2*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-128*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^3*d^3*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+39*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c*d*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-152*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^2*d^2*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+128*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^3*d^3*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2))/(c*x+b)/x/(e*x+d)^(3/2)/c^2/e^5","B"
1263,1,4120,462,0.115000," ","int((B*x+A)*(c*x^2+b*x)^(3/2)/(e*x+d)^(7/2),x)","\text{output too large to display}"," ",0,"2/15*((c*x+b)*x)^(1/2)*(-33*A*x^4*b*c^3*d*e^5-43*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^4*d*e^5*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+6*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*d*e^5*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+232*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^5*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-86*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*d^2*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-51*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+96*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-48*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^5*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+24*A*x^2*c^4*d^4*e^2-5*B*x^5*c^4*d^2*e^4-102*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c*d^2*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+15*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+24*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-72*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+48*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^5*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+211*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-296*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^5*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-119*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+3*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^4*e^6*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+3*A*x^4*b^2*c^2*e^6-64*B*x^2*c^4*d^5*e+54*A*x^3*c^4*d^3*e^3-144*B*x^3*c^4*d^4*e^2+3*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*d^2*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-43*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+128*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^6*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-128*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^6*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+33*A*x^4*c^4*d^2*e^4-88*B*x^4*c^4*d^3*e^3+3*A*x^3*b^3*c*e^6+30*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*d^2*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+192*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^2*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-96*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^3*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+48*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c*d^2*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-144*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^2*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+5*B*x^5*b*c^3*d*e^5-35*B*x^2*b^3*c*d^2*e^4-15*B*x*b^3*c*d^3*e^3-21*A*x*b^2*c^2*d^3*e^3+24*A*x*b*c^3*d^4*e^2+76*B*x*b^2*c^2*d^4*e^2-64*B*x*b*c^3*d^5*e-18*B*x^4*b^2*c^2*d*e^5+103*B*x^4*b*c^3*d^2*e^4-33*A*x^3*b^2*c^2*d*e^5-15*A*x^3*b*c^3*d^2*e^4-23*B*x^3*b^3*c*d*e^5+73*B*x^3*b^2*c^2*d^2*e^4+85*B*x^3*b*c^3*d^3*e^3-48*A*x^2*b^2*c^2*d^2*e^4+33*A*x^2*b*c^3*d^3*e^3+158*B*x^2*b^2*c^2*d^3*e^3-68*B*x^2*b*c^3*d^4*e^2-296*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^2*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+128*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b*c^3*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-119*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c*d^2*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+232*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^2*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-128*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b*c^3*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-48*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b*c^3*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+24*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c*d*e^5*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-592*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^2*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+256*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^3*d^5*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-238*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+464*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^2*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-256*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^3*d^5*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+211*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c*d^2*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+96*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^3*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+422*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+96*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^2*d^2*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-51*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c*d*e^5*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-72*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^2*d^2*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+48*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b*c^3*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+15*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^4*d*e^5*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2))/(c*x+b)/x/(b*e-c*d)/(e*x+d)^(5/2)/d/e^5/c","B"
1264,1,1610,400,0.098000," ","int((B*x+A)*(e*x+d)^(5/2)/(c*x^2+b*x)^(1/2),x)","-\frac{2 \sqrt{e x +d}\, \sqrt{\left(c x +b \right) x}\, \left(-15 B \,c^{5} e^{4} x^{5}-21 A \,c^{5} e^{4} x^{4}+3 B b \,c^{4} e^{4} x^{4}-60 B \,c^{5} d \,e^{3} x^{4}+7 A b \,c^{4} e^{4} x^{3}-98 A \,c^{5} d \,e^{3} x^{3}-6 B \,b^{2} c^{3} e^{4} x^{3}+19 B b \,c^{4} d \,e^{3} x^{3}-90 B \,c^{5} d^{2} e^{2} x^{3}+28 A \,b^{2} c^{3} e^{4} x^{2}-70 A b \,c^{4} d \,e^{3} x^{2}-77 A \,c^{5} d^{2} e^{2} x^{2}-24 B \,b^{3} c^{2} e^{4} x^{2}+55 B \,b^{2} c^{3} d \,e^{3} x^{2}-29 B b \,c^{4} d^{2} e^{2} x^{2}-45 B \,c^{5} d^{3} e \,x^{2}+56 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{4} c \,e^{4} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-217 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c^{2} d \,e^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+28 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c^{2} d \,e^{3} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+322 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{3} d^{2} e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-84 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{3} d^{2} e^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+28 A \,b^{2} c^{3} d \,e^{3} x -161 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{4} d^{3} e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+56 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{4} d^{3} e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-77 A b \,c^{4} d^{2} e^{2} x -48 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{5} e^{4} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+176 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} c d \,e^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-24 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} c d \,e^{3} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-231 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c^{2} d^{2} e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+67 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c^{2} d^{2} e^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-24 B \,b^{3} c^{2} d \,e^{3} x +118 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{3} d^{3} e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-58 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{3} d^{3} e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+61 B \,b^{2} c^{3} d^{2} e^{2} x -15 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{4} d^{4} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+15 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{4} d^{4} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-45 B b \,c^{4} d^{3} e x \right)}{105 \left(c e \,x^{2}+b e x +c d x +b d \right) c^{5} e x}"," ",0,"-2/105*(e*x+d)^(1/2)*((c*x+b)*x)^(1/2)*(56*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*b^4*c*e^4-45*B*b*c^4*d^3*e*x-77*A*c^5*d^2*e^2*x^2-24*B*b^3*c^2*e^4*x^2-45*B*c^5*d^3*e*x^2+3*B*b*c^4*e^4*x^4-60*B*c^5*d*e^3*x^4+7*A*b*c^4*e^4*x^3-98*A*c^5*d*e^3*x^3-6*B*b^2*c^3*e^4*x^3-90*B*c^5*d^2*e^2*x^3+28*A*b^2*c^3*e^4*x^2+118*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*b^2*c^3*d^3*e-24*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*c*d*e^3+67*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c^2*d^2*e^2-15*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*b*c^4*d^4+15*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^4*d^4-58*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^3*d^3*e-217*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*b^3*c^2*d*e^3+322*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*b^2*c^3*d^2*e^2-161*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*b*c^4*d^3*e+28*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c^2*d*e^3-84*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^3*d^2*e^2+56*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^4*d^3*e+176*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*b^4*c*d*e^3-24*B*b^3*c^2*d*e^3*x+61*B*b^2*c^3*d^2*e^2*x+28*A*b^2*c^3*d*e^3*x-77*A*b*c^4*d^2*e^2*x+55*B*b^2*c^3*d*e^3*x^2-29*B*b*c^4*d^2*e^2*x^2-70*A*b*c^4*d*e^3*x^2+19*B*b*c^4*d*e^3*x^3-15*B*c^5*e^4*x^5-21*A*c^5*e^4*x^4-231*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c^2*d^2*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-48*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*b^5*e^4)/e/c^5/x/(c*e*x^2+b*e*x+c*d*x+b*d)","B"
1265,1,1144,285,0.096000," ","int((B*x+A)*(e*x+d)^(3/2)/(c*x^2+b*x)^(1/2),x)","\frac{2 \sqrt{e x +d}\, \sqrt{\left(c x +b \right) x}\, \left(3 B \,c^{4} e^{3} x^{4}+5 A \,c^{4} e^{3} x^{3}-B b \,c^{3} e^{3} x^{3}+9 B \,c^{4} d \,e^{2} x^{3}+5 A b \,c^{3} e^{3} x^{2}+5 A \,c^{4} d \,e^{2} x^{2}-4 B \,b^{2} c^{2} e^{3} x^{2}+5 B b \,c^{3} d \,e^{2} x^{2}+6 B \,c^{4} d^{2} e \,x^{2}+10 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c \,e^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-30 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{2} d \,e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+5 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{2} d \,e^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+20 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{3} d^{2} e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-5 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{3} d^{2} e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+5 A b \,c^{3} d \,e^{2} x -8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} e^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+21 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c d \,e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-4 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c d \,e^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-16 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{2} d^{2} e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+7 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{2} d^{2} e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-4 B \,b^{2} c^{2} d \,e^{2} x +3 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{3} d^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-3 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{3} d^{3} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+6 B b \,c^{3} d^{2} e x \right)}{15 \left(c e \,x^{2}+b e x +c d x +b d \right) c^{4} e x}"," ",0,"2/15*(e*x+d)^(1/2)*((c*x+b)*x)^(1/2)*(5*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d*e^2-5*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^2*e+10*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*e^3-30*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d*e^2+20*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^2*e-4*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*d*e^2+7*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^2*e-3*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^3-8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*e^3+21*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*d*e^2-16*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^2*e+3*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^3+3*B*x^4*c^4*e^3+5*A*c^4*e^3*x^3-B*x^3*b*c^3*e^3+9*B*c^4*d*e^2*x^3+5*A*b*c^3*e^3*x^2+5*A*c^4*d*e^2*x^2-4*B*b^2*c^2*e^3*x^2+5*B*x^2*b*c^3*d*e^2+6*B*x^2*c^4*d^2*e+5*A*b*c^3*d*e^2*x-4*B*x*b^2*c^2*d*e^2+6*B*x*b*c^3*d^2*e)/e/x/(c*e*x^2+b*e*x+c*d*x+b*d)/c^4","B"
1266,1,629,206,0.088000," ","int((B*x+A)*(e*x+d)^(1/2)/(c*x^2+b*x)^(1/2),x)","-\frac{2 \sqrt{e x +d}\, \sqrt{\left(c x +b \right) x}\, \left(-B \,c^{3} e^{2} x^{3}-B b \,c^{2} e^{2} x^{2}-B \,c^{3} d e \,x^{2}+3 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c \,e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-3 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{2} d e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+3 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c d e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c d e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{2} d^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{2} d^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-B b \,c^{2} d e x \right)}{3 \left(c e \,x^{2}+b e x +c d x +b d \right) c^{3} e x}"," ",0,"-2/3*(e*x+d)^(1/2)*((c*x+b)*x)^(1/2)*(3*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-3*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^2*d*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c*d*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^2*d^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-2*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+3*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c*d*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^2*d^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-B*c^3*e^2*x^3-B*b*c^2*e^2*x^2-B*c^3*d*e*x^2-B*b*c^2*d*e*x)/x/(c*e*x^2+b*e*x+c*d*x+b*d)/c^3/e","B"
1267,1,216,166,0.116000," ","int((B*x+A)/(e*x+d)^(1/2)/(c*x^2+b*x)^(1/2),x)","\frac{2 \left(A c e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-B b e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+B c d \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-B c d \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)\right) \sqrt{-\frac{c x}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{\frac{c x +b}{b}}\, \sqrt{e x +d}\, \sqrt{\left(c x +b \right) x}\, b}{\left(c e \,x^{2}+b e x +c d x +b d \right) c^{2} e x}"," ",0,"2*(A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*c*e-B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*c*d-B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*e+B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*c*d)*b*(-1/b*c*x)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*((c*x+b)/b)^(1/2)*(e*x+d)^(1/2)*((c*x+b)*x)^(1/2)/e/c^2/x/(c*e*x^2+b*e*x+c*d*x+b*d)","A"
1268,1,547,220,0.107000," ","int((B*x+A)/(e*x+d)^(3/2)/(c*x^2+b*x)^(1/2),x)","\frac{2 \left(A \,c^{2} e^{2} x^{2}-B \,c^{2} d e \,x^{2}+\sqrt{-\frac{c x}{b}}\, \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, A \,b^{2} e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-\sqrt{-\frac{c x}{b}}\, \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, A b c d e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+A b c \,e^{2} x -\sqrt{-\frac{c x}{b}}\, \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, B \,b^{2} d e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+\sqrt{-\frac{c x}{b}}\, \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, B \,b^{2} d e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+\sqrt{-\frac{c x}{b}}\, \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, B b c \,d^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-\sqrt{-\frac{c x}{b}}\, \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, B b c \,d^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-B b c d e x \right) \sqrt{\left(c x +b \right) x}\, \sqrt{e x +d}}{\left(b e -c d \right) \left(c e \,x^{2}+b e x +c d x +b d \right) c d e x}"," ",0,"2*(A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*e^2*(-1/b*c*x)^(1/2)*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)-A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c*d*e*(-1/b*c*x)^(1/2)*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)-B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*d*e*(-1/b*c*x)^(1/2)*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)+B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c*d^2*(-1/b*c*x)^(1/2)*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)+B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*d*e*(-1/b*c*x)^(1/2)*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)-B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c*d^2*(-1/b*c*x)^(1/2)*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)+A*x^2*c^2*e^2-B*x^2*c^2*d*e+A*x*b*c*e^2-B*x*b*c*d*e)*((c*x+b)*x)^(1/2)*(e*x+d)^(1/2)/d/e/c/(b*e-c*d)/x/(c*e*x^2+b*e*x+c*d*x+b*d)","B"
1269,1,1635,315,0.115000," ","int((B*x+A)/(e*x+d)^(5/2)/(c*x^2+b*x)^(1/2),x)","\frac{2 \sqrt{\left(c x +b \right) x}\, \left(2 A b \,c^{2} e^{4} x^{3}-4 A \,c^{3} d \,e^{3} x^{3}+B b \,c^{2} d \,e^{3} x^{3}+B \,c^{3} d^{2} e^{2} x^{3}+2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} e^{4} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-6 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c d \,e^{3} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c d \,e^{3} x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+2 A \,b^{2} c \,e^{4} x^{2}+4 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{2} d^{2} e^{2} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{2} d^{2} e^{2} x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-A b \,c^{2} d \,e^{3} x^{2}-5 A \,c^{3} d^{2} e^{2} x^{2}+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} d \,e^{3} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c \,d^{2} e^{2} x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+B \,b^{2} c d \,e^{3} x^{2}-\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{2} d^{3} e x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{2} d^{3} e x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+B b \,c^{2} d^{2} e^{2} x^{2}+2 B \,c^{3} d^{3} e \,x^{2}+2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} d \,e^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-6 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c \,d^{2} e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c \,d^{2} e^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+3 A \,b^{2} c d \,e^{3} x +4 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{2} d^{3} e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{2} d^{3} e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-5 A b \,c^{2} d^{2} e^{2} x +\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} d^{2} e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c \,d^{3} e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{2} d^{4} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B b \,c^{2} d^{4} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+2 B b \,c^{2} d^{3} e x \right)}{3 \left(c x +b \right) \left(b e -c d \right)^{2} \left(e x +d \right)^{\frac{3}{2}} c \,d^{2} e x}"," ",0,"2/3*((c*x+b)*x)^(1/2)*(B*b*c^2*d*e^3*x^3+3*A*x*b^2*c*d*e^3+B*c^3*d^2*e^2*x^3+B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^2*d^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+2*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+2*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*d*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*d^2*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^2*d^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+2*A*b^2*c*e^4*x^2-5*A*c^3*d^2*e^2*x^2+2*A*b*c^2*e^4*x^3-4*A*c^3*d*e^3*x^3+2*B*c^3*d^3*e*x^2-A*b*c^2*d*e^3*x^2+B*b^2*c*d*e^3*x^2+B*b*c^2*d^2*e^2*x^2-5*A*b*c^2*d^2*e^2*x+2*B*b*c^2*d^3*e*x-6*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c*d^2*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+4*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^2*d^3*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c*d^2*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^2*d^3*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*d*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c*d^3*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-6*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c*d*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+4*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^2*d^2*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c*d*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^2*d^2*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^2*d^3*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c*d^2*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^2*d^3*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2))/(c*x+b)/x/(b*e-c*d)^2/(e*x+d)^(3/2)/c/d^2/e","B"
1270,1,3863,450,0.143000," ","int((B*x+A)/(e*x+d)^(7/2)/(c*x^2+b*x)^(1/2),x)","\text{output too large to display}"," ",0,"2/15*((c*x+b)*x)^(1/2)*(-23*A*x^4*b*c^3*d*e^5+2*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^4*d*e^5*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+16*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*d*e^5*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+2*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^5*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+4*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*d^2*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-31*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+46*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-23*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^5*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+34*A*x^2*c^4*d^4*e^2-62*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c*d^2*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+4*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-12*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+8*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^5*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-9*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+4*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^5*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+8*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^4*e^6*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+8*A*x^4*b^2*c^2*e^6-9*B*x^2*c^4*d^5*e+54*A*x^3*c^4*d^3*e^3-9*B*x^3*c^4*d^4*e^2+8*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*d^2*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+2*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+3*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^6*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-3*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^6*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+23*A*x^4*c^4*d^2*e^4-3*B*x^4*c^4*d^3*e^3+8*A*x^3*b^3*c*e^6+92*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^2*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-46*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^3*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+8*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c*d^2*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-24*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^2*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+5*B*x^2*b^3*c*d^2*e^4-41*A*x*b^2*c^2*d^3*e^3+34*A*x*b*c^3*d^4*e^2+B*x*b^2*c^2*d^4*e^2-9*B*x*b*c^3*d^5*e+2*B*x^4*b^2*c^2*d*e^5-7*B*x^4*b*c^3*d^2*e^4-3*A*x^3*b^2*c^2*d*e^5-35*A*x^3*b*c^3*d^2*e^4+2*B*x^3*b^3*c*d*e^5-2*B*x^3*b^2*c^2*d^2*e^4-15*B*x^3*b*c^3*d^3*e^3+20*A*x^2*b^3*c*d*e^5-43*A*x^2*b^2*c^2*d^2*e^4+13*A*x^2*b*c^3*d^3*e^3-12*B*x^2*b^2*c^2*d^3*e^3-8*B*x^2*b*c^3*d^4*e^2+15*A*x*b^3*c*d^2*e^4+4*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^2*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+3*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b*c^3*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c*d^2*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+2*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^2*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-3*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b*c^3*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-23*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b*c^3*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+4*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c*d*e^5*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+8*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^2*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+6*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^3*d^5*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+2*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+4*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^2*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-6*B*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^3*d^5*e*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-9*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c*d^2*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+16*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^3*d^4*e^2*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-18*B*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+46*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^2*d^2*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-31*A*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c*d*e^5*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)-12*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^2*d^2*e^4*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)+8*A*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b*c^3*d^3*e^3*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2))/(c*x+b)/x/(b*e-c*d)^3/(e*x+d)^(5/2)/c/d^3/e","B"
1271,1,1766,469,0.112000," ","int((B*x+A)*(e*x+d)^(7/2)/(c*x^2+b*x)^(3/2),x)","\frac{2 \left(3 B \,b^{2} c^{4} e^{4} x^{4}+5 A \,b^{2} c^{4} e^{4} x^{3}-6 B \,b^{3} c^{3} e^{4} x^{3}+19 B \,b^{2} c^{4} d \,e^{3} x^{3}+20 A \,b^{3} c^{3} e^{4} x^{2}-40 A \,b^{2} c^{4} d \,e^{3} x^{2}+45 A b \,c^{5} d^{2} e^{2} x^{2}-30 A \,c^{6} d^{3} e \,x^{2}-24 B \,b^{4} c^{2} e^{4} x^{2}+55 B \,b^{3} c^{3} d \,e^{3} x^{2}-29 B \,b^{2} c^{4} d^{2} e^{2} x^{2}+15 B b \,c^{5} d^{3} e \,x^{2}+40 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{5} c \,e^{4} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-135 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{4} c^{2} d \,e^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+20 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{4} c^{2} d \,e^{3} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+140 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c^{3} d^{2} e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-50 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c^{3} d^{2} e^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+20 A \,b^{3} c^{3} d \,e^{3} x -75 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{4} d^{3} e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+60 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{4} d^{3} e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-45 A \,b^{2} c^{4} d^{2} e^{2} x +30 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{5} d^{4} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-30 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{5} d^{4} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+30 A b \,c^{5} d^{3} e x -30 A \,c^{6} d^{4} x -48 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{6} e^{4} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+176 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{5} c d \,e^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-24 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{5} c d \,e^{3} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-231 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} c^{2} d^{2} e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+67 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} c^{2} d^{2} e^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-24 B \,b^{4} c^{2} d \,e^{3} x +118 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c^{3} d^{3} e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-58 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c^{3} d^{3} e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+61 B \,b^{3} c^{3} d^{2} e^{2} x -15 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{4} d^{4} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+15 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{4} d^{4} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-45 B \,b^{2} c^{4} d^{3} e x +15 B b \,c^{5} d^{4} x -15 A b \,c^{5} d^{4}\right) \sqrt{\left(c x +b \right) x}}{15 \left(c x +b \right) \sqrt{e x +d}\, b^{2} c^{5} x}"," ",0,"2/15*(45*A*x^2*b*c^5*d^2*e^2+15*B*x*b*c^5*d^4+15*B*x^2*b*c^5*d^3*e+19*B*x^3*b^2*c^4*d*e^3+55*B*x^2*b^3*c^3*d*e^3-29*B*x^2*b^2*c^4*d^2*e^2+61*B*x*b^3*c^3*d^2*e^2+30*A*x*b*c^5*d^3*e-24*B*x*b^4*c^2*d*e^3-40*A*x^2*b^2*c^4*d*e^3+20*A*x*b^3*c^3*d*e^3-45*A*x*b^2*c^4*d^2*e^2-45*B*x*b^2*c^4*d^3*e-15*A*b*c^5*d^4-30*A*x*c^6*d^4+30*b*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*c^5*d^4-30*b*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*c^5*d^4-15*b^2*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*c^4*d^4+15*b^2*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*c^4*d^4+40*e^4*b^5*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*c+3*B*x^4*b^2*c^4*e^4-6*B*x^3*b^3*c^3*e^4-24*B*x^2*b^4*c^2*e^4+5*A*x^3*b^2*c^4*e^4+20*A*x^2*b^3*c^3*e^4-30*A*x^2*c^6*d^3*e+118*e*b^3*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*c^3*d^3-24*e^3*b^5*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*c*d-135*e^3*b^4*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*c^2*d+140*e^2*b^3*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*c^3*d^2-75*e*b^2*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*c^4*d^3+20*e^3*b^4*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*c^2*d-50*e^2*b^3*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*c^3*d^2+60*e*b^2*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*c^4*d^3+176*e^3*b^5*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*c*d-231*e^2*b^4*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*c^2*d^2+67*e^2*b^4*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*c^2*d^2-58*e*b^3*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*c^3*d^3-48*e^4*b^6*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2)))/x*((c*x+b)*x)^(1/2)/(c*x+b)/c^5/b^2/(e*x+d)^(1/2)","B"
1272,1,1324,347,0.108000," ","int((B*x+A)*(e*x+d)^(5/2)/(c*x^2+b*x)^(3/2),x)","-\frac{2 \left(-B \,b^{2} c^{3} e^{3} x^{3}+3 A \,b^{2} c^{3} e^{3} x^{2}-6 A b \,c^{4} d \,e^{2} x^{2}+6 A \,c^{5} d^{2} e \,x^{2}-4 B \,b^{3} c^{2} e^{3} x^{2}+5 B \,b^{2} c^{3} d \,e^{2} x^{2}-3 B b \,c^{4} d^{2} e \,x^{2}+6 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{4} c \,e^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-12 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c^{2} d \,e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+3 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c^{2} d \,e^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+12 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{3} d^{2} e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-9 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{3} d^{2} e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+3 A \,b^{2} c^{3} d \,e^{2} x -6 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{4} d^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+6 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{4} d^{3} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-3 A b \,c^{4} d^{2} e x +6 A \,c^{5} d^{3} x -8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{5} e^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+21 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} c d \,e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-4 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} c d \,e^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-16 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c^{2} d^{2} e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+7 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c^{2} d^{2} e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-4 B \,b^{3} c^{2} d \,e^{2} x +3 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{3} d^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-3 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{3} d^{3} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+6 B \,b^{2} c^{3} d^{2} e x -3 B b \,c^{4} d^{3} x +3 A b \,c^{4} d^{3}\right) \sqrt{\left(c x +b \right) x}}{3 \left(c x +b \right) \sqrt{e x +d}\, b^{2} c^{4} x}"," ",0,"-2/3*(-4*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*c*d*e^2+7*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c^2*d^2*e-6*A*x^2*b*c^4*d*e^2+3*A*b*c^4*d^3-3*B*x*b*c^4*d^3-6*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^4*d^3+3*A*x^2*b^2*c^3*e^3+6*A*x*c^5*d^3+5*B*x^2*b^2*c^3*d*e^2-3*A*x*b*c^4*d^2*e-12*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c^2*d*e^2+12*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^3*d^2*e+3*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c^2*d*e^2-9*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^3*d^2*e+21*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*c*d*e^2-16*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c^2*d^2*e+6*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^4*d^3+3*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^3*d^3-3*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^3*d^3+6*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*c*e^3+6*A*x^2*c^5*d^2*e-B*x^3*b^2*c^3*e^3-4*B*x^2*b^3*c^2*e^3+3*A*x*b^2*c^3*d*e^2+6*B*x*b^2*c^3*d^2*e-4*B*x*b^3*c^2*d*e^2-3*B*x^2*b*c^4*d^2*e-8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^5*e^3)/x*((c*x+b)*x)^(1/2)/(c*x+b)/c^4/b^2/(e*x+d)^(1/2)","B"
1273,1,898,253,0.096000," ","int((B*x+A)*(e*x+d)^(3/2)/(c*x^2+b*x)^(3/2),x)","\frac{2 \left(A b \,c^{3} e^{2} x^{2}-2 A \,c^{4} d e \,x^{2}-B \,b^{2} c^{2} e^{2} x^{2}+B b \,c^{3} d e \,x^{2}+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c \,e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-3 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{2} d e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{2} d e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{3} d^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{3} d^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-2 A \,c^{4} d^{2} x -2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+3 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c d e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c d e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{2} d^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{2} d^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-B \,b^{2} c^{2} d e x +B b \,c^{3} d^{2} x -A b \,c^{3} d^{2}\right) \sqrt{\left(c x +b \right) x}}{\left(c x +b \right) \sqrt{e x +d}\, b^{2} c^{3} x}"," ",0,"2*(2*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d*e-2*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^2+A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*e^2-3*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d*e+2*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^2-B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*d*e+B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^2-2*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*e^2+3*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*d*e-B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^2+A*x^2*b*c^3*e^2-2*A*x^2*c^4*d*e-B*x^2*b^2*c^2*e^2+B*x^2*b*c^3*d*e-2*A*x*c^4*d^2-B*x*b^2*c^2*d*e+B*x*b*c^3*d^2-A*b*c^3*d^2)/x*((c*x+b)*x)^(1/2)/(c*x+b)/c^3/b^2/(e*x+d)^(1/2)","B"
1274,1,610,211,0.105000," ","int((B*x+A)*(e*x+d)^(1/2)/(c*x^2+b*x)^(3/2),x)","\frac{2 \left(-2 A \,c^{3} e \,x^{2}+B b \,c^{2} e \,x^{2}-2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{2} d \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{2} d \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-A b \,c^{2} e x -2 A \,c^{3} d x +\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c d \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c d \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+B b \,c^{2} d x -A b \,c^{2} d \right) \sqrt{\left(c x +b \right) x}}{\left(c x +b \right) \sqrt{e x +d}\, b^{2} c^{2} x}"," ",0,"2*(A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c*e-2*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^2*d-2*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c*e+2*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^2*d+B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c*d+B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*e-B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c*d-2*A*x^2*c^3*e+B*x^2*b*c^2*e-A*x*b*c^2*e-2*A*x*c^3*d+B*x*b*c^2*d-A*b*c^2*d)/x*((c*x+b)*x)^(1/2)/(c*x+b)/b^2/c^2/(e*x+d)^(1/2)","B"
1275,1,814,253,0.244000," ","int((B*x+A)/(c*x^2+b*x)^(3/2)/(e*x+d)^(1/2),x)","-\frac{2 \left(A b \,c^{2} e^{2} x^{2}-2 A \,c^{3} d e \,x^{2}+B b \,c^{2} d e \,x^{2}+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-3 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c d e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c d e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+A \,b^{2} c \,e^{2} x +2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{2} d^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{2} d^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-2 A \,c^{3} d^{2} x +\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} d e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} d e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c \,d^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c \,d^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+B b \,c^{2} d^{2} x +A \,b^{2} c d e -A b \,c^{2} d^{2}\right) \sqrt{\left(c x +b \right) x}}{\left(c x +b \right) \left(b e -c d \right) \sqrt{e x +d}\, b^{2} c d x}"," ",0,"-2/x*(2*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c*d*e-2*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^2*d^2+A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*e^2-3*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c*d*e+2*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^2*d^2-B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*d*e+B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c*d^2+B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*d*e-B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c*d^2+A*x^2*b*c^2*e^2-2*A*x^2*c^3*d*e+B*x^2*b*c^2*d*e+A*x*b^2*c*e^2-2*A*x*c^3*d^2+B*x*b*c^2*d^2+A*b^2*c*d*e-A*b*c^2*d^2)*((c*x+b)*x)^(1/2)/(c*x+b)/(b*e-c*d)/c/b^2/d/(e*x+d)^(1/2)","B"
1276,1,1079,369,0.124000," ","int((B*x+A)/(e*x+d)^(3/2)/(c*x^2+b*x)^(3/2),x)","-\frac{2 \left(2 A \,b^{2} c^{2} e^{3} x^{2}-2 A b \,c^{3} d \,e^{2} x^{2}+2 A \,c^{4} d^{2} e \,x^{2}-B \,b^{2} c^{2} d \,e^{2} x^{2}-B b \,c^{3} d^{2} e \,x^{2}+2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{4} e^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-4 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c d \,e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c d \,e^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+2 A \,b^{3} c \,e^{3} x +4 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{2} d^{2} e \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-3 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{2} d^{2} e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-A \,b^{2} c^{2} d \,e^{2} x -2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{3} d^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{3} d^{3} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-A b \,c^{3} d^{2} e x +2 A \,c^{4} d^{3} x -\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} d \,e^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c \,d^{2} e \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-B \,b^{3} c d \,e^{2} x +\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{2} d^{3} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{2} d^{3} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-B b \,c^{3} d^{3} x +A \,b^{3} c d \,e^{2}-2 A \,b^{2} c^{2} d^{2} e +A b \,c^{3} d^{3}\right) \sqrt{\left(c x +b \right) x}}{\left(c x +b \right) \left(b e -c d \right)^{2} \sqrt{e x +d}\, b^{2} c \,d^{2} x}"," ",0,"-2/x*(-A*x*b^2*c^2*d*e^2-B*x*b*c^3*d^3+A*b*c^3*d^3+2*A*x*c^4*d^3+B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*d^2*e+4*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^2*e+2*A*x^2*b^2*c^2*e^3+2*A*x^2*c^4*d^2*e+2*A*x*b^3*c*e^3-2*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^3+2*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^3*d^3-B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*d*e^2+B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^3-B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^3-A*x*b*c^3*d^2*e-2*A*x^2*b*c^3*d*e^2-B*x^2*b^2*c^2*d*e^2-B*x^2*b*c^3*d^2*e-B*x*b^3*c*d*e^2+A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*d*e^2-3*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^2*d^2*e-4*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c*d*e^2-2*A*b^2*c^2*d^2*e+A*b^3*c*d*e^2+2*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*e^3)*((c*x+b)*x)^(1/2)/(c*x+b)/(b*e-c*d)^2/c/b^2/d^2/(e*x+d)^(1/2)","B"
1277,1,3024,512,0.139000," ","int((B*x+A)/(e*x+d)^(5/2)/(c*x^2+b*x)^(3/2),x)","\text{output too large to display}"," ",0,"-2/3*((c*x+b)*x)^(1/2)/x*(7*B*x^3*b^2*c^3*d^2*e^3+3*B*x*b*c^4*d^5+28*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c^2*d^3*e^2-15*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^3*d^4*e+4*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*c*d^2*e^3-10*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c^2*d^3*e^2+12*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^3*d^4*e+9*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*c*d^3*e^2-4*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c^2*d^4*e-B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*c*d^3*e^2-2*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^3*c^2*d^4*e-2*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^5*d*e^4-27*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^4*c*d^2*e^3-6*A*x*c^5*d^5-6*A*x^3*c^5*d^3*e^2+8*A*x^2*b^4*c*e^5-12*A*x^2*c^5*d^4*e+8*A*x^3*b^3*c^2*e^5-B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c*d^2*e^3-2*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^2*d^3*e^2+4*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c*d*e^4+3*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^3*d^5+3*A*b^4*c*d^2*e^3-9*A*b^3*c^2*d^3*e^2+9*A*b^2*c^3*d^4*e+3*B*x^3*b*c^4*d^3*e^2-2*B*x^2*b^4*c*d*e^4+6*B*x^2*b*c^4*d^4*e-2*B*x^3*b^3*c^2*d*e^4-7*A*x^2*b^3*c^2*d*e^4-20*A*x^2*b^2*c^3*d^2*e^3-19*A*x^3*b^2*c^3*d*e^4+9*A*x^3*b*c^4*d^2*e^3+9*A*x*b^2*c^3*d^3*e^2+8*B*x*b^3*c^2*d^3*e^2+8*B*x^2*b^2*c^3*d^3*e^2+4*B*x^2*b^3*c^2*d^2*e^3+12*A*x*b^4*c*d*e^4-26*A*x*b^3*c^2*d^2*e^3-3*B*x*b^4*c*d^2*e^3+3*A*x*b*c^4*d^4*e+15*A*x^2*b*c^4*d^3*e^2-3*A*b*c^4*d^5+8*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^5*e^5+8*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^5*d*e^4+6*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^4*d^5-6*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b*c^4*d^5-2*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^5*d^2*e^3-3*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*b^2*c^3*d^5-6*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^4*d^4*e+9*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c*d^2*e^3-4*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^2*d^3*e^2+3*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^3*d^4*e-3*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^3*d^4*e-27*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c*d*e^4+28*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^2*d^2*e^3-15*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^3*d^3*e^2+6*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b*c^4*d^4*e-10*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^2*d^2*e^3+12*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^3*d^3*e^2)/d^3/b^2/c/(e*x+d)^(3/2)/(b*e-c*d)^3/(c*x+b)","B"
1278,1,3247,470,0.147000," ","int((B*x+A)*(e*x+d)^(7/2)/(c*x^2+b*x)^(5/2),x)","\text{output too large to display}"," ",0,"2/3*(4*A*x^4*b^2*c^5*d*e^3+16*A*x^3*c^7*d^4-4*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^6*c*d*e^3+3*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^5*c^2*d^2*e^2+2*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^4*c^3*d*e^3-28*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c^4*d^2*e^2+40*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^5*d^3*e+15*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c^4*d^2*e^2-32*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^5*d^3*e+13*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^5*c^2*d*e^3-13*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c^4*d^3*e-4*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^5*c^2*d*e^3+3*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^4*c^3*d^2*e^2+9*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c^4*d^3*e+2*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^5*c^2*d*e^3+A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^4*c^3*d*e^3+9*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c^3*d^3*e+A*x^3*b^4*c^3*e^4-8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^4*d^4-4*B*x^3*b^5*c^2*e^4+16*A*x^4*c^7*d^3*e+24*A*x^2*b*c^6*d^4-8*B*x^3*b*c^6*d^4-12*B*x^2*b^2*c^5*d^4+6*A*x*b^2*c^5*d^4-3*B*x*b^3*c^4*d^4-5*B*x^4*b^4*c^3*e^4+2*A*x^4*b^3*c^4*e^4-28*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c^3*d^2*e^2+40*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^4*d^3*e+A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^5*c^2*d*e^3+15*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c^3*d^2*e^2-32*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^4*d^3*e+13*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^6*c*d*e^3-13*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c^3*d^3*e+13*B*x^3*b^3*c^4*d^2*e^2-4*B*x^2*b^5*c^2*d*e^3-7*B*x^3*b^2*c^5*d^3*e+A*x^2*b^4*c^3*d*e^3-3*A*x^2*b^3*c^4*d^2*e^2-31*A*x^2*b^2*c^5*d^3*e-8*B*x^4*b*c^6*d^3*e-24*A*x^4*b*c^6*d^2*e^2+2*B*x^2*b^4*c^3*d^2*e^2-11*A*x*b^3*c^4*d^3*e+5*B*x^4*b^3*c^4*d*e^3+5*B*x^4*b^2*c^5*d^2*e^2+5*B*x^2*b^3*c^4*d^3*e+9*A*x^3*b^3*c^4*d*e^3-33*A*x^3*b^2*c^5*d^2*e^2-3*B*x^3*b^4*c^3*d*e^3-A*b^3*c^4*d^4+2*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^5*c^2*e^4-16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b*c^6*d^4+16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b*c^6*d^4-8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^6*c*e^4+8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^5*d^4-8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^5*d^4+8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^4*d^4+2*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^6*c*e^4-16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^5*d^4+16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^5*d^4-8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^7*e^4)/x^2*((c*x+b)*x)^(1/2)/b^4/(c*x+b)^2/c^4/(e*x+d)^(1/2)","B"
1279,1,2644,400,0.125000," ","int((B*x+A)*(e*x+d)^(5/2)/(c*x^2+b*x)^(5/2),x)","\frac{2 \left(A \,b^{2} c^{4} e^{3} x^{4}-16 A b \,c^{5} d \,e^{2} x^{4}+16 A \,c^{6} d^{2} e \,x^{4}+2 B \,b^{3} c^{3} e^{3} x^{4}+3 B \,b^{2} c^{4} d \,e^{2} x^{4}-8 B b \,c^{5} d^{2} e \,x^{4}+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{4} c^{2} e^{3} x^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-17 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c^{3} d \,e^{2} x^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c^{3} d \,e^{2} x^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+2 A \,b^{3} c^{3} e^{3} x^{3}+32 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{4} d^{2} e \,x^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-24 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{4} d^{2} e \,x^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-24 A \,b^{2} c^{4} d \,e^{2} x^{3}-16 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{5} d^{3} x^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+16 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{5} d^{3} x^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+8 A b \,c^{5} d^{2} e \,x^{3}+16 A \,c^{6} d^{3} x^{3}+2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{5} c \,e^{3} x^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} c^{2} d \,e^{2} x^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} c^{2} d \,e^{2} x^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+B \,b^{4} c^{2} e^{3} x^{3}-11 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c^{3} d^{2} e \,x^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+7 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c^{3} d^{2} e \,x^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+7 B \,b^{3} c^{3} d \,e^{2} x^{3}+8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{4} d^{3} x^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{4} d^{3} x^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-9 B \,b^{2} c^{4} d^{2} e \,x^{3}-8 B b \,c^{5} d^{3} x^{3}+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{5} c \,e^{3} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-17 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{4} c^{2} d \,e^{2} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{4} c^{2} d \,e^{2} x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+32 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c^{3} d^{2} e x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-24 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c^{3} d^{2} e x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-5 A \,b^{3} c^{3} d \,e^{2} x^{2}-16 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{4} d^{3} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+16 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{4} d^{3} x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-19 A \,b^{2} c^{4} d^{2} e \,x^{2}+24 A b \,c^{5} d^{3} x^{2}+2 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{6} e^{3} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{5} c d \,e^{2} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{5} c d \,e^{2} x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-11 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} c^{2} d^{2} e x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+7 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} c^{2} d^{2} e x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+B \,b^{4} c^{2} d \,e^{2} x^{2}+8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c^{3} d^{3} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c^{3} d^{3} x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+2 B \,b^{3} c^{3} d^{2} e \,x^{2}-12 B \,b^{2} c^{4} d^{3} x^{2}-8 A \,b^{3} c^{3} d^{2} e x +6 A \,b^{2} c^{4} d^{3} x -3 B \,b^{3} c^{3} d^{3} x -A \,b^{3} c^{3} d^{3}\right) \sqrt{\left(c x +b \right) x}}{3 \left(c x +b \right)^{2} \sqrt{e x +d}\, b^{4} c^{3} x^{2}}"," ",0,"2/3*(3*B*x^4*b^2*c^4*d*e^2+16*A*x^3*c^6*d^3+16*A*x^4*c^6*d^2*e-8*B*x^3*b*c^5*d^3+24*A*x^2*b*c^5*d^3-3*B*x*b^3*c^3*d^3+B*x^3*b^4*c^2*e^3-12*B*x^2*b^2*c^4*d^3+6*A*x*b^2*c^4*d^3+2*A*x^3*b^3*c^3*e^3+A*x^4*b^2*c^4*e^3+2*B*x^4*b^3*c^3*e^3+2*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^5*c*e^3+8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^4*d^3+16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^4*d^3+A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^5*c*e^3-16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^4*d^3+2*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^6*e^3+16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b*c^5*d^3-8*A*x*b^3*c^3*d^2*e+7*B*x^3*b^3*c^3*d*e^2-9*B*x^3*b^2*c^4*d^2*e-5*A*x^2*b^3*c^3*d*e^2-19*A*x^2*b^2*c^4*d^2*e-24*A*x^3*b^2*c^4*d*e^2-8*B*x^4*b*c^5*d^2*e+8*A*x^3*b*c^5*d^2*e-16*A*x^4*b*c^5*d*e^2+B*x^2*b^4*c^2*d*e^2+2*B*x^2*b^3*c^3*d^2*e-A*b^3*c^3*d^3-8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^3*d^3+8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^3*d^3+A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^4*c^2*e^3-16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b*c^5*d^3-8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^4*d^3+8*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c^3*d*e^2-24*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^4*d^2*e-17*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c^3*d*e^2+32*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^4*d^2*e+B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^4*c^2*d*e^2+7*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c^3*d^2*e+B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^4*c^2*d*e^2-11*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c^3*d^2*e+8*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c^2*d*e^2-24*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^3*d^2*e-17*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c^2*d*e^2+32*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^3*d^2*e+B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^5*c*d*e^2+7*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c^2*d^2*e+B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^5*c*d*e^2-11*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c^2*d^2*e)/x^2*((c*x+b)*x)^(1/2)/b^4/(c*x+b)^2/c^3/(e*x+d)^(1/2)","B"
1280,1,2043,356,0.126000," ","int((B*x+A)*(e*x+d)^(3/2)/(c*x^2+b*x)^(5/2),x)","\frac{2 \left(-8 A b \,c^{4} e^{2} x^{4}+16 A \,c^{5} d e \,x^{4}+B \,b^{2} c^{3} e^{2} x^{4}-8 B b \,c^{4} d e \,x^{4}-8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c^{2} e^{2} x^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+3 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c^{2} e^{2} x^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+24 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{3} d e \,x^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-16 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{3} d e \,x^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-13 A \,b^{2} c^{3} e^{2} x^{3}-16 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{4} d^{2} x^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+16 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{4} d^{2} x^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+16 A b \,c^{4} d e \,x^{3}+16 A \,c^{5} d^{2} x^{3}+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} c \,e^{2} x^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-9 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c^{2} d e \,x^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+5 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c^{2} d e \,x^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+2 B \,b^{3} c^{2} e^{2} x^{3}+8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{3} d^{2} x^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{3} d^{2} x^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-11 B \,b^{2} c^{3} d e \,x^{3}-8 B b \,c^{4} d^{2} x^{3}-8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{4} c \,e^{2} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+3 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{4} c \,e^{2} x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+24 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c^{2} d e x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-16 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c^{2} d e x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-4 A \,b^{3} c^{2} e^{2} x^{2}-16 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{3} d^{2} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+16 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{3} d^{2} x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-7 A \,b^{2} c^{3} d e \,x^{2}+24 A b \,c^{4} d^{2} x^{2}+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{5} e^{2} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-9 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} c d e x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+5 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} c d e x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c^{2} d^{2} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c^{2} d^{2} x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-B \,b^{3} c^{2} d e \,x^{2}-12 B \,b^{2} c^{3} d^{2} x^{2}-5 A \,b^{3} c^{2} d e x +6 A \,b^{2} c^{3} d^{2} x -3 B \,b^{3} c^{2} d^{2} x -A \,b^{3} c^{2} d^{2}\right) \sqrt{\left(c x +b \right) x}}{3 \left(c x +b \right)^{2} \sqrt{e x +d}\, b^{4} c^{2} x^{2}}"," ",0,"2/3*(-8*B*x^4*b*c^4*d*e+16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^3*d^2-8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^3*d^2+B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^4*c*e^2+8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^3*d^2+3*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c*e^2+8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^2*d^2+16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b*c^4*d^2-8*A*x^4*b*c^4*e^2-16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^3*d*e+24*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^3*d*e+5*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c^2*d*e+B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^5*e^2-8*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c^2*e^2-16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b*c^4*d^2+3*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c^2*e^2-8*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c*e^2-16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^3*d^2-8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^2*d^2+16*A*x^3*c^5*d^2+6*A*x*b^2*c^3*d^2-13*A*x^3*b^2*c^3*e^2-12*B*x^2*b^2*c^3*d^2+2*B*x^3*b^3*c^2*e^2+B*x^4*b^2*c^3*e^2+16*A*x^4*c^5*d*e-3*B*x*b^3*c^2*d^2-8*B*x^3*b*c^4*d^2-4*A*x^2*b^3*c^2*e^2+24*A*x^2*b*c^4*d^2-9*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c^2*d*e-16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^2*d*e+24*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^2*d*e+5*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c*d*e-9*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c*d*e+16*A*x^3*b*c^4*d*e-B*x^2*b^3*c^2*d*e-11*B*x^3*b^2*c^3*d*e-7*A*x^2*b^2*c^3*d*e-5*A*x*b^3*c^2*d*e-A*b^3*c^2*d^2)/x^2*((c*x+b)*x)^(1/2)/b^4/c^2/(c*x+b)^2/(e*x+d)^(1/2)","B"
1281,1,2503,366,0.132000," ","int((B*x+A)*(e*x+d)^(1/2)/(c*x^2+b*x)^(5/2),x)","-\frac{2 \left(A \,b^{2} c^{3} e^{3} x^{4}-16 A b \,c^{4} d \,e^{2} x^{4}+16 A \,c^{5} d^{2} e \,x^{4}+7 B \,b^{2} c^{3} d \,e^{2} x^{4}-8 B b \,c^{4} d^{2} e \,x^{4}+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{4} c \,e^{3} x^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-17 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c^{2} d \,e^{2} x^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c^{2} d \,e^{2} x^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+2 A \,b^{3} c^{2} e^{3} x^{3}+32 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{3} d^{2} e \,x^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-24 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{3} d^{2} e \,x^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-24 A \,b^{2} c^{3} d \,e^{2} x^{3}-16 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{4} d^{3} x^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+16 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A b \,c^{4} d^{3} x^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+8 A b \,c^{4} d^{2} e \,x^{3}+16 A \,c^{5} d^{3} x^{3}+7 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} c d \,e^{2} x^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-3 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} c d \,e^{2} x^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-15 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c^{2} d^{2} e \,x^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+11 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c^{2} d^{2} e \,x^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+11 B \,b^{3} c^{2} d \,e^{2} x^{3}+8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{3} d^{3} x^{2} \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{2} c^{3} d^{3} x^{2} \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-5 B \,b^{2} c^{3} d^{2} e \,x^{3}-8 B b \,c^{4} d^{3} x^{3}+\sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{5} e^{3} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-17 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{4} c d \,e^{2} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{4} c d \,e^{2} x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+A \,b^{4} c \,e^{3} x^{2}+32 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c^{2} d^{2} e x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-24 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{3} c^{2} d^{2} e x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-5 A \,b^{3} c^{2} d \,e^{2} x^{2}-16 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{3} d^{3} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+16 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, A \,b^{2} c^{3} d^{3} x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-19 A \,b^{2} c^{3} d^{2} e \,x^{2}+24 A b \,c^{4} d^{3} x^{2}+7 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{5} d \,e^{2} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-3 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{5} d \,e^{2} x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-15 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} c \,d^{2} e x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+11 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{4} c \,d^{2} e x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+3 B \,b^{4} c d \,e^{2} x^{2}+8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c^{2} d^{3} x \EllipticE \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)-8 \sqrt{\frac{c x +b}{b}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -c d}}\, \sqrt{-\frac{c x}{b}}\, B \,b^{3} c^{2} d^{3} x \EllipticF \left(\sqrt{\frac{c x +b}{b}}, \sqrt{\frac{b e}{b e -c d}}\right)+8 B \,b^{3} c^{2} d^{2} e \,x^{2}-12 B \,b^{2} c^{3} d^{3} x^{2}+2 A \,b^{4} c d \,e^{2} x -8 A \,b^{3} c^{2} d^{2} e x +6 A \,b^{2} c^{3} d^{3} x +3 B \,b^{4} c \,d^{2} e x -3 B \,b^{3} c^{2} d^{3} x +A \,b^{4} c \,d^{2} e -A \,b^{3} c^{2} d^{3}\right) \sqrt{\left(c x +b \right) x}}{3 \left(c x +b \right)^{2} \left(b e -c d \right) \sqrt{e x +d}\, b^{4} c d \,x^{2}}"," ",0,"-2/3/x^2*(A*b^4*c*d^2*e+8*B*x^2*b^3*c^2*d^2*e-3*B*x*b^3*c^2*d^3+A*x^2*b^4*c*e^3+16*A*x^4*c^5*d^2*e-8*B*x^3*b*c^4*d^3-24*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^2*d^2*e+11*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c^2*d^2*e+24*A*x^2*b*c^4*d^3-12*B*x^2*b^2*c^3*d^3+A*x^4*b^2*c^3*e^3+6*A*x*b^2*c^3*d^3+2*A*x^3*b^3*c^2*e^3+16*A*x^3*c^5*d^3-17*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c^2*d*e^2+32*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^3*d^2*e-17*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c*d*e^2-15*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c*d^2*e+16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b*c^4*d^3+8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^3*d^3-8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^3*d^3+A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^4*c*e^3-16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b*c^4*d^3+16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^3*d^3-16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^3*d^3+7*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^5*d*e^2+8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^2*d^3-3*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^5*d*e^2-8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^2*d^3+7*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^4*c*d*e^2-15*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c^2*d^2*e+8*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c^2*d*e^2-24*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^3*d^2*e-3*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^4*c*d*e^2+32*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^2*d^2*e+8*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c*d*e^2+11*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c*d^2*e+A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^5*e^3-16*A*x^4*b*c^4*d*e^2+2*A*x*b^4*c*d*e^2-8*A*x*b^3*c^2*d^2*e-5*A*x^2*b^3*c^2*d*e^2+3*B*x*b^4*c*d^2*e+3*B*x^2*b^4*c*d*e^2-5*B*x^3*b^2*c^3*d^2*e-19*A*x^2*b^2*c^3*d^2*e+11*B*x^3*b^3*c^2*d*e^2-24*A*x^3*b^2*c^3*d*e^2+8*A*x^3*b*c^4*d^2*e+7*B*x^4*b^2*c^3*d*e^2-8*B*x^4*b*c^4*d^2*e-A*b^3*c^2*d^3)*((c*x+b)*x)^(1/2)/b^4/c/d/(c*x+b)^2/(b*e-c*d)/(e*x+d)^(1/2)","B"
1282,1,3140,489,0.135000," ","int((B*x+A)/(c*x^2+b*x)^(5/2)/(e*x+d)^(1/2),x)","\text{output too large to display}"," ",0,"2/3*(9*A*x^3*b^3*c^3*d*e^3-8*B*x^3*b*c^5*d^4+8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^3*d^4-8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^3*d^4+2*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^5*c*e^4-16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b*c^5*d^4+16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b*c^5*d^4+8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^4*d^4+16*A*x^3*c^6*d^4-32*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^3*d^3*e+16*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^5*c*d^2*e^2-21*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c^2*d^3*e+16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^4*d^4-8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^4*d^4-16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^4*d^4-3*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^6*d*e^3+24*A*x^2*b*c^5*d^4-12*B*x^2*b^2*c^4*d^4+2*A*x^4*b^3*c^3*e^4+16*A*x^4*c^6*d^3*e+4*A*x^3*b^4*c^2*e^4+2*A*x^2*b^5*c*e^4-3*B*x*b^3*c^3*d^4+6*A*x*b^2*c^4*d^4-3*B*x^2*b^5*c*d*e^3-33*A*x^3*b^2*c^4*d^2*e^2-6*B*x^3*b^4*c^2*d*e^3+17*B*x^3*b^3*c^3*d^2*e^2-3*A*x^2*b^3*c^3*d^2*e^2-31*A*x^2*b^2*c^4*d^3*e+17*B*x^2*b^3*c^3*d^3*e-24*A*x^4*b*c^5*d^2*e^2+13*B*x^4*b^2*c^4*d^2*e^2-8*B*x^4*b*c^5*d^3*e+6*A*x^2*b^4*c^2*d*e^3-11*A*x*b^3*c^3*d^3*e+B*x^3*b^2*c^4*d^3*e+A*x*b^5*c*d*e^3+4*A*x*b^4*c^2*d^2*e^2-3*B*x*b^5*c*d^2*e^2+6*B*x*b^4*c^2*d^3*e+4*A*x^4*b^2*c^4*d*e^3-3*B*x^4*b^3*c^3*d*e^3-A*b^3*c^3*d^4+2*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^6*e^4-A*b^5*c*d^2*e^2+2*A*b^4*c^2*d^3*e-28*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c^2*d^2*e^2+40*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^3*d^3*e+A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^5*c*d*e^3-3*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^5*c*d*e^3+40*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^4*d^3*e+2*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^4*c^2*d*e^3-9*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^5*c*d^2*e^2+15*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c^2*d^2*e^2+17*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c^2*d^3*e+16*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^4*c^2*d^2*e^2-21*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c^3*d^3*e-9*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^4*c^2*d^2*e^2+A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^4*c^2*d*e^3+15*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c^3*d^2*e^2-32*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^4*d^3*e+17*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c^3*d^3*e+2*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^5*c*d*e^3-28*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c^3*d^2*e^2)/x^2*((c*x+b)*x)^(1/2)/d^2/b^4/c/(c*x+b)^2/(b*e-c*d)^2/(e*x+d)^(1/2)","B"
1283,1,4001,646,0.151000," ","int((B*x+A)/(e*x+d)^(3/2)/(c*x^2+b*x)^(5/2),x)","\text{output too large to display}"," ",0,"2/3*(-7*A*x^4*b^3*c^4*d*e^4+8*A*x^4*b^4*c^3*e^5-16*A*x^3*c^7*d^5+8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^4*d^5-8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^4*d^5+8*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^6*c*e^5+16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b*c^6*d^5-16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b*c^6*d^5-8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^5*d^5+8*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^5*d^5+16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^5*d^5-16*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^2*c^5*d^5-6*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^7*d*e^4-6*A*x*b^2*c^5*d^5+16*A*x^3*b^5*c^2*e^5+8*A*x^2*b^6*c*e^5-16*A*x^4*c^7*d^4*e+8*B*x^3*b*c^6*d^5-24*A*x^2*b*c^6*d^5+12*B*x^2*b^2*c^5*d^5+3*B*x*b^3*c^4*d^5-7*B*x^3*b^2*c^5*d^4*e-18*A*x^2*b^4*c^3*d^2*e^3-2*A*x^2*b^3*c^4*d^3*e^2+43*A*x^2*b^2*c^5*d^4*e+3*B*x^2*b^5*c^2*d^2*e^3+9*B*x^2*b^4*c^3*d^3*e^2-26*B*x^2*b^3*c^4*d^4*e+A*x^2*b^5*c^2*d*e^4-9*B*x*b^4*c^3*d^4*e+14*A*x*b^3*c^4*d^4*e-6*A*x*b^4*c^3*d^3*e^2-6*B*x^2*b^6*c*d*e^4-3*B*x*b^6*c*d^2*e^3+9*B*x*b^5*c^2*d^3*e^2+4*A*x*b^6*c*d*e^4-6*A*x*b^5*c^2*d^2*e^3-9*A*x^4*b^2*c^5*d^2*e^3+32*A*x^4*b*c^6*d^3*e^2+A*b^3*c^4*d^5+8*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^7*e^5-4*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^4*c^3*d^2*e^3-24*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c^4*d^3*e^2+40*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^5*d^4*e-6*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^6*c*d*e^4+15*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^5*c^2*d^2*e^3+9*B*x^4*b^3*c^4*d^2*e^3-19*B*x^4*b^2*c^5*d^3*e^2+8*B*x^4*b*c^6*d^4*e-10*A*x^3*b^4*c^3*d*e^4-22*A*x^3*b^3*c^4*d^2*e^3+40*A*x^3*b^2*c^5*d^3*e^2+8*A*x^3*b*c^6*d^4*e-12*B*x^3*b^5*c^2*d*e^4+15*B*x^3*b^4*c^3*d^2*e^3-20*B*x^3*b^3*c^4*d^3*e^2-6*B*x^4*b^4*c^3*d*e^4-A*b^6*c*d^2*e^3+3*A*b^5*c^2*d^3*e^2-3*A*b^4*c^3*d^4*e+4*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^5*c^2*d*e^4+18*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^5*c^2*d^3*e^2-28*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^4*c^3*d^3*e^2+27*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c^4*d^4*e-3*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^5*c^2*d^2*e^3+18*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^4*c^3*d^3*e^2-23*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c^4*d^4*e-15*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^6*c*d*e^4-2*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^5*c^2*d^2*e^3+41*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c^3*d^3*e^2-48*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^4*d^4*e+4*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^6*c*d*e^4-4*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^5*c^2*d^2*e^3-24*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c^3*d^3*e^2+40*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^3*c^4*d^4*e+15*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^6*c*d^2*e^3-28*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^5*c^2*d^3*e^2+27*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c^3*d^4*e-3*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^6*c*d^2*e^3-23*B*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticF(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x*b^4*c^3*d^4*e-15*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^5*c^2*d*e^4-2*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^4*c^3*d^2*e^3+41*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^3*c^4*d^3*e^2-48*A*((c*x+b)/b)^(1/2)*(-(e*x+d)/(b*e-c*d)*c)^(1/2)*(-1/b*c*x)^(1/2)*EllipticE(((c*x+b)/b)^(1/2),(1/(b*e-c*d)*b*e)^(1/2))*x^2*b^2*c^5*d^4*e)/x^2*((c*x+b)*x)^(1/2)/d^3/b^4/c/(c*x+b)^2/(b*e-c*d)^3/(e*x+d)^(1/2)","B"
1284,1,247,100,0.046000," ","int((B*x+A)*(e*x+d)^5*(c*x^2+a),x)","\frac{B c \,e^{5} x^{9}}{9}+\frac{\left(A \,e^{5}+5 B d \,e^{4}\right) c \,x^{8}}{8}+A a \,d^{5} x +\frac{\left(B a \,e^{5}+\left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) c \right) x^{7}}{7}+\frac{\left(\left(A \,e^{5}+5 B d \,e^{4}\right) a +\left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) c \right) x^{6}}{6}+\frac{\left(\left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) a +\left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) c \right) x^{5}}{5}+\frac{\left(\left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) a +\left(5 A \,d^{4} e +B \,d^{5}\right) c \right) x^{4}}{4}+\frac{\left(5 A \,d^{4} e +B \,d^{5}\right) a \,x^{2}}{2}+\frac{\left(A c \,d^{5}+\left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) a \right) x^{3}}{3}"," ",0,"1/9*B*e^5*c*x^9+1/8*(A*e^5+5*B*d*e^4)*c*x^8+1/7*((5*A*d*e^4+10*B*d^2*e^3)*c+B*e^5*a)*x^7+1/6*((10*A*d^2*e^3+10*B*d^3*e^2)*c+(A*e^5+5*B*d*e^4)*a)*x^6+1/5*((10*A*d^3*e^2+5*B*d^4*e)*c+(5*A*d*e^4+10*B*d^2*e^3)*a)*x^5+1/4*((5*A*d^4*e+B*d^5)*c+(10*A*d^2*e^3+10*B*d^3*e^2)*a)*x^4+1/3*(A*d^5*c+(10*A*d^3*e^2+5*B*d^4*e)*a)*x^3+1/2*(5*A*d^4*e+B*d^5)*a*x^2+A*d^5*a*x","B"
1285,1,199,100,0.042000," ","int((B*x+A)*(e*x+d)^4*(c*x^2+a),x)","\frac{B c \,e^{4} x^{8}}{8}+\frac{\left(A \,e^{4}+4 B d \,e^{3}\right) c \,x^{7}}{7}+A a \,d^{4} x +\frac{\left(B a \,e^{4}+\left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) c \right) x^{6}}{6}+\frac{\left(\left(A \,e^{4}+4 B d \,e^{3}\right) a +\left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) c \right) x^{5}}{5}+\frac{\left(\left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) a +\left(4 A \,d^{3} e +B \,d^{4}\right) c \right) x^{4}}{4}+\frac{\left(4 A \,d^{3} e +B \,d^{4}\right) a \,x^{2}}{2}+\frac{\left(A c \,d^{4}+\left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) a \right) x^{3}}{3}"," ",0,"1/8*B*e^4*c*x^8+1/7*(A*e^4+4*B*d*e^3)*c*x^7+1/6*((4*A*d*e^3+6*B*d^2*e^2)*c+B*e^4*a)*x^6+1/5*((6*A*d^2*e^2+4*B*d^3*e)*c+(A*e^4+4*B*d*e^3)*a)*x^5+1/4*((4*A*d^3*e+B*d^4)*c+(4*A*d*e^3+6*B*d^2*e^2)*a)*x^4+1/3*(A*d^4*c+(6*A*d^2*e^2+4*B*d^3*e)*a)*x^3+1/2*(4*A*d^3*e+B*d^4)*a*x^2+A*d^4*a*x","A"
1286,1,151,100,0.043000," ","int((B*x+A)*(e*x+d)^3*(c*x^2+a),x)","\frac{B c \,e^{3} x^{7}}{7}+\frac{\left(A \,e^{3}+3 B d \,e^{2}\right) c \,x^{6}}{6}+A a \,d^{3} x +\frac{\left(B a \,e^{3}+\left(3 A d \,e^{2}+3 B \,d^{2} e \right) c \right) x^{5}}{5}+\frac{\left(\left(A \,e^{3}+3 B d \,e^{2}\right) a +\left(3 A \,d^{2} e +B \,d^{3}\right) c \right) x^{4}}{4}+\frac{\left(3 A \,d^{2} e +B \,d^{3}\right) a \,x^{2}}{2}+\frac{\left(A c \,d^{3}+\left(3 A d \,e^{2}+3 B \,d^{2} e \right) a \right) x^{3}}{3}"," ",0,"1/7*B*e^3*c*x^7+1/6*(A*e^3+3*B*d*e^2)*c*x^6+1/5*((3*A*d*e^2+3*B*d^2*e)*c+B*e^3*a)*x^5+1/4*((3*A*d^2*e+B*d^3)*c+(A*e^3+3*B*d*e^2)*a)*x^4+1/3*(A*d^3*c+(3*A*d*e^2+3*B*d^2*e)*a)*x^3+1/2*(3*A*d^2*e+B*d^3)*a*x^2+A*d^3*a*x","A"
1287,1,103,100,0.044000," ","int((B*x+A)*(e*x+d)^2*(c*x^2+a),x)","\frac{B c \,e^{2} x^{6}}{6}+\frac{\left(A \,e^{2}+2 B d e \right) c \,x^{5}}{5}+A a \,d^{2} x +\frac{\left(B a \,e^{2}+\left(2 A d e +B \,d^{2}\right) c \right) x^{4}}{4}+\frac{\left(2 A d e +B \,d^{2}\right) a \,x^{2}}{2}+\frac{\left(A c \,d^{2}+\left(A \,e^{2}+2 B d e \right) a \right) x^{3}}{3}"," ",0,"1/6*B*c*e^2*x^6+1/5*(A*e^2+2*B*d*e)*c*x^5+1/4*((2*A*d*e+B*d^2)*c+a*B*e^2)*x^4+1/3*(A*c*d^2+(A*e^2+2*B*d*e)*a)*x^3+1/2*(2*A*d*e+B*d^2)*a*x^2+A*d^2*a*x","A"
1288,1,55,54,0.044000," ","int((B*x+A)*(e*x+d)*(c*x^2+a),x)","\frac{B c e \,x^{5}}{5}+\frac{\left(A e +B d \right) c \,x^{4}}{4}+A a d x +\frac{\left(A e +B d \right) a \,x^{2}}{2}+\frac{\left(A c d +a B e \right) x^{3}}{3}"," ",0,"a*A*d*x+1/2*a*(A*e+B*d)*x^2+1/3*(A*c*d+B*a*e)*x^3+1/4*c*(A*e+B*d)*x^4+1/5*B*c*e*x^5","A"
1289,1,27,27,0.039000," ","int((B*x+A)*(c*x^2+a),x)","\frac{1}{4} B c \,x^{4}+\frac{1}{3} A c \,x^{3}+\frac{1}{2} B a \,x^{2}+A a x"," ",0,"1/4*B*c*x^4+1/3*A*c*x^3+1/2*B*a*x^2+A*a*x","A"
1290,1,116,82,0.046000," ","int((B*x+A)*(c*x^2+a)/(e*x+d),x)","\frac{B c \,x^{3}}{3 e}+\frac{A c \,x^{2}}{2 e}-\frac{B c d \,x^{2}}{2 e^{2}}+\frac{A a \ln \left(e x +d \right)}{e}+\frac{A c \,d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{A c d x}{e^{2}}-\frac{B a d \ln \left(e x +d \right)}{e^{2}}+\frac{B a x}{e}-\frac{B c \,d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{B c \,d^{2} x}{e^{3}}"," ",0,"1/3*B*c/e*x^3+1/2/e*A*x^2*c-1/2/e^2*B*x^2*c*d-1/e^2*A*x*c*d+1/e*B*x*a+1/e^3*B*x*c*d^2+1/e*ln(e*x+d)*a*A+1/e^3*ln(e*x+d)*A*c*d^2-1/e^2*ln(e*x+d)*a*B*d-1/e^4*ln(e*x+d)*B*c*d^3","A"
1291,1,131,87,0.056000," ","int((B*x+A)*(c*x^2+a)/(e*x+d)^2,x)","\frac{B c \,x^{2}}{2 e^{2}}-\frac{A a}{\left(e x +d \right) e}-\frac{A c \,d^{2}}{\left(e x +d \right) e^{3}}-\frac{2 A c d \ln \left(e x +d \right)}{e^{3}}+\frac{A c x}{e^{2}}+\frac{B a d}{\left(e x +d \right) e^{2}}+\frac{B a \ln \left(e x +d \right)}{e^{2}}+\frac{B c \,d^{3}}{\left(e x +d \right) e^{4}}+\frac{3 B c \,d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{2 B c d x}{e^{3}}"," ",0,"1/2*B*c/e^2*x^2+c/e^2*A*x-2*c/e^3*B*d*x-1/e/(e*x+d)*a*A-1/e^3/(e*x+d)*A*c*d^2+1/e^2/(e*x+d)*a*B*d+1/e^4/(e*x+d)*B*c*d^3-2/e^3*ln(e*x+d)*A*c*d+1/e^2*ln(e*x+d)*B*a+3/e^4*ln(e*x+d)*B*c*d^2","A"
1292,1,144,92,0.049000," ","int((B*x+A)*(c*x^2+a)/(e*x+d)^3,x)","-\frac{A a}{2 \left(e x +d \right)^{2} e}-\frac{A c \,d^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{B a d}{2 \left(e x +d \right)^{2} e^{2}}+\frac{B c \,d^{3}}{2 \left(e x +d \right)^{2} e^{4}}+\frac{2 A c d}{\left(e x +d \right) e^{3}}+\frac{A c \ln \left(e x +d \right)}{e^{3}}-\frac{B a}{\left(e x +d \right) e^{2}}-\frac{3 B c \,d^{2}}{\left(e x +d \right) e^{4}}-\frac{3 B c d \ln \left(e x +d \right)}{e^{4}}+\frac{B c x}{e^{3}}"," ",0,"B*c/e^3*x+2/e^3/(e*x+d)*A*c*d-1/e^2/(e*x+d)*B*a-3/e^4/(e*x+d)*B*c*d^2-1/2/e/(e*x+d)^2*a*A-1/2/e^3/(e*x+d)^2*A*c*d^2+1/2/e^2/(e*x+d)^2*a*B*d+1/2/e^4/(e*x+d)^2*B*c*d^3+c/e^3*ln(e*x+d)*A-3*c/e^4*ln(e*x+d)*B*d","A"
1293,1,151,98,0.055000," ","int((B*x+A)*(c*x^2+a)/(e*x+d)^4,x)","-\frac{A a}{3 \left(e x +d \right)^{3} e}-\frac{A c \,d^{2}}{3 \left(e x +d \right)^{3} e^{3}}+\frac{B a d}{3 \left(e x +d \right)^{3} e^{2}}+\frac{B c \,d^{3}}{3 \left(e x +d \right)^{3} e^{4}}+\frac{A c d}{\left(e x +d \right)^{2} e^{3}}-\frac{B a}{2 \left(e x +d \right)^{2} e^{2}}-\frac{3 B c \,d^{2}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{A c}{\left(e x +d \right) e^{3}}+\frac{3 B c d}{\left(e x +d \right) e^{4}}+\frac{B c \ln \left(e x +d \right)}{e^{4}}"," ",0,"-c/e^3/(e*x+d)*A+3*c/e^4/(e*x+d)*B*d+1/e^3/(e*x+d)^2*A*c*d-1/2/e^2/(e*x+d)^2*B*a-3/2/e^4/(e*x+d)^2*B*c*d^2-1/3/e/(e*x+d)^3*a*A-1/3/e^3/(e*x+d)^3*A*c*d^2+1/3/e^2/(e*x+d)^3*a*B*d+1/3/e^4/(e*x+d)^3*B*c*d^3+B*c/e^4*ln(e*x+d)","A"
1294,1,110,101,0.053000," ","int((B*x+A)*(c*x^2+a)/(e*x+d)^5,x)","-\frac{B c}{\left(e x +d \right) e^{4}}-\frac{\left(A e -3 B d \right) c}{2 \left(e x +d \right)^{2} e^{4}}-\frac{a A \,e^{3}+A c \,d^{2} e -a B d \,e^{2}-B c \,d^{3}}{4 \left(e x +d \right)^{4} e^{4}}-\frac{-2 A c d e +B a \,e^{2}+3 B c \,d^{2}}{3 \left(e x +d \right)^{3} e^{4}}"," ",0,"-1/(e*x+d)*B*c/e^4-1/4*(A*a*e^3+A*c*d^2*e-B*a*d*e^2-B*c*d^3)/e^4/(e*x+d)^4-1/2*c*(A*e-3*B*d)/e^4/(e*x+d)^2-1/3*(-2*A*c*d*e+B*a*e^2+3*B*c*d^2)/e^4/(e*x+d)^3","A"
1295,1,110,101,0.065000," ","int((B*x+A)*(c*x^2+a)/(e*x+d)^6,x)","-\frac{B c}{2 \left(e x +d \right)^{2} e^{4}}-\frac{\left(A e -3 B d \right) c}{3 \left(e x +d \right)^{3} e^{4}}-\frac{-2 A c d e +B a \,e^{2}+3 B c \,d^{2}}{4 \left(e x +d \right)^{4} e^{4}}-\frac{a A \,e^{3}+A c \,d^{2} e -a B d \,e^{2}-B c \,d^{3}}{5 \left(e x +d \right)^{5} e^{4}}"," ",0,"-1/4*(-2*A*c*d*e+B*a*e^2+3*B*c*d^2)/e^4/(e*x+d)^4-1/2/(e*x+d)^2*B*c/e^4-1/3*c*(A*e-3*B*d)/e^4/(e*x+d)^3-1/5*(A*a*e^3+A*c*d^2*e-B*a*d*e^2-B*c*d^3)/e^4/(e*x+d)^5","A"
1296,1,110,101,0.049000," ","int((B*x+A)*(c*x^2+a)/(e*x+d)^7,x)","-\frac{B c}{3 \left(e x +d \right)^{3} e^{4}}-\frac{\left(A e -3 B d \right) c}{4 \left(e x +d \right)^{4} e^{4}}-\frac{a A \,e^{3}+A c \,d^{2} e -a B d \,e^{2}-B c \,d^{3}}{6 \left(e x +d \right)^{6} e^{4}}-\frac{-2 A c d e +B a \,e^{2}+3 B c \,d^{2}}{5 \left(e x +d \right)^{5} e^{4}}"," ",0,"-1/6*(A*a*e^3+A*c*d^2*e-B*a*d*e^2-B*c*d^3)/e^4/(e*x+d)^6-1/4*c*(A*e-3*B*d)/e^4/(e*x+d)^4-1/3*B*c/e^4/(e*x+d)^3-1/5*(-2*A*c*d*e+B*a*e^2+3*B*c*d^2)/e^4/(e*x+d)^5","A"
1297,1,402,194,0.039000," ","int((B*x+A)*(e*x+d)^5*(c*x^2+a)^2,x)","\frac{B \,c^{2} e^{5} x^{11}}{11}+\frac{\left(A \,e^{5}+5 B d \,e^{4}\right) c^{2} x^{10}}{10}+A \,a^{2} d^{5} x +\frac{\left(2 B a c \,e^{5}+\left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) c^{2}\right) x^{9}}{9}+\frac{\left(2 \left(A \,e^{5}+5 B d \,e^{4}\right) a c +\left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) c^{2}\right) x^{8}}{8}+\frac{\left(B \,a^{2} e^{5}+2 \left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) a c +\left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) c^{2}\right) x^{7}}{7}+\frac{\left(\left(A \,e^{5}+5 B d \,e^{4}\right) a^{2}+2 \left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) a c +\left(5 A \,d^{4} e +B \,d^{5}\right) c^{2}\right) x^{6}}{6}+\frac{\left(A \,c^{2} d^{5}+\left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) a^{2}+2 \left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) a c \right) x^{5}}{5}+\frac{\left(5 A \,d^{4} e +B \,d^{5}\right) a^{2} x^{2}}{2}+\frac{\left(\left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) a^{2}+2 \left(5 A \,d^{4} e +B \,d^{5}\right) a c \right) x^{4}}{4}+\frac{\left(2 A a c \,d^{5}+\left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) a^{2}\right) x^{3}}{3}"," ",0,"1/11*B*e^5*c^2*x^11+1/10*(A*e^5+5*B*d*e^4)*c^2*x^10+1/9*((5*A*d*e^4+10*B*d^2*e^3)*c^2+2*B*e^5*a*c)*x^9+1/8*((10*A*d^2*e^3+10*B*d^3*e^2)*c^2+2*(A*e^5+5*B*d*e^4)*a*c)*x^8+1/7*((10*A*d^3*e^2+5*B*d^4*e)*c^2+2*(5*A*d*e^4+10*B*d^2*e^3)*a*c+B*e^5*a^2)*x^7+1/6*((5*A*d^4*e+B*d^5)*c^2+2*(10*A*d^2*e^3+10*B*d^3*e^2)*a*c+(A*e^5+5*B*d*e^4)*a^2)*x^6+1/5*(A*d^5*c^2+2*(10*A*d^3*e^2+5*B*d^4*e)*a*c+(5*A*d*e^4+10*B*d^2*e^3)*a^2)*x^5+1/4*(2*(5*A*d^4*e+B*d^5)*a*c+(10*A*d^2*e^3+10*B*d^3*e^2)*a^2)*x^4+1/3*(2*A*d^5*a*c+(10*A*d^3*e^2+5*B*d^4*e)*a^2)*x^3+1/2*(5*A*d^4*e+B*d^5)*a^2*x^2+A*d^5*a^2*x","B"
1298,1,327,194,0.040000," ","int((B*x+A)*(e*x+d)^4*(c*x^2+a)^2,x)","\frac{B \,c^{2} e^{4} x^{10}}{10}+\frac{\left(A \,e^{4}+4 B d \,e^{3}\right) c^{2} x^{9}}{9}+A \,a^{2} d^{4} x +\frac{\left(2 B a c \,e^{4}+\left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) c^{2}\right) x^{8}}{8}+\frac{\left(2 \left(A \,e^{4}+4 B d \,e^{3}\right) a c +\left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) c^{2}\right) x^{7}}{7}+\frac{\left(B \,a^{2} e^{4}+2 \left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) a c +\left(4 A \,d^{3} e +B \,d^{4}\right) c^{2}\right) x^{6}}{6}+\frac{\left(A \,c^{2} d^{4}+\left(A \,e^{4}+4 B d \,e^{3}\right) a^{2}+2 \left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) a c \right) x^{5}}{5}+\frac{\left(4 A \,d^{3} e +B \,d^{4}\right) a^{2} x^{2}}{2}+\frac{\left(\left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) a^{2}+2 \left(4 A \,d^{3} e +B \,d^{4}\right) a c \right) x^{4}}{4}+\frac{\left(2 A a c \,d^{4}+\left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) a^{2}\right) x^{3}}{3}"," ",0,"1/10*B*e^4*c^2*x^10+1/9*(A*e^4+4*B*d*e^3)*c^2*x^9+1/8*((4*A*d*e^3+6*B*d^2*e^2)*c^2+2*B*e^4*a*c)*x^8+1/7*((6*A*d^2*e^2+4*B*d^3*e)*c^2+2*(A*e^4+4*B*d*e^3)*a*c)*x^7+1/6*((4*A*d^3*e+B*d^4)*c^2+2*(4*A*d*e^3+6*B*d^2*e^2)*a*c+B*e^4*a^2)*x^6+1/5*(A*d^4*c^2+2*(6*A*d^2*e^2+4*B*d^3*e)*a*c+(A*e^4+4*B*d*e^3)*a^2)*x^5+1/4*(2*(4*A*d^3*e+B*d^4)*a*c+(4*A*d*e^3+6*B*d^2*e^2)*a^2)*x^4+1/3*(2*A*d^4*a*c+(6*A*d^2*e^2+4*B*d^3*e)*a^2)*x^3+1/2*(4*A*d^3*e+B*d^4)*a^2*x^2+A*d^4*a^2*x","A"
1299,1,252,194,0.043000," ","int((B*x+A)*(e*x+d)^3*(c*x^2+a)^2,x)","\frac{B \,c^{2} e^{3} x^{9}}{9}+\frac{\left(A \,e^{3}+3 B d \,e^{2}\right) c^{2} x^{8}}{8}+A \,a^{2} d^{3} x +\frac{\left(2 B a c \,e^{3}+\left(3 A d \,e^{2}+3 B \,d^{2} e \right) c^{2}\right) x^{7}}{7}+\frac{\left(2 \left(A \,e^{3}+3 B d \,e^{2}\right) a c +\left(3 A \,d^{2} e +B \,d^{3}\right) c^{2}\right) x^{6}}{6}+\frac{\left(A \,c^{2} d^{3}+B \,a^{2} e^{3}+2 \left(3 A d \,e^{2}+3 B \,d^{2} e \right) a c \right) x^{5}}{5}+\frac{\left(3 A \,d^{2} e +B \,d^{3}\right) a^{2} x^{2}}{2}+\frac{\left(\left(A \,e^{3}+3 B d \,e^{2}\right) a^{2}+2 \left(3 A \,d^{2} e +B \,d^{3}\right) a c \right) x^{4}}{4}+\frac{\left(2 A a c \,d^{3}+\left(3 A d \,e^{2}+3 B \,d^{2} e \right) a^{2}\right) x^{3}}{3}"," ",0,"1/9*B*c^2*e^3*x^9+1/8*(A*e^3+3*B*d*e^2)*c^2*x^8+1/7*((3*A*d*e^2+3*B*d^2*e)*c^2+2*B*e^3*a*c)*x^7+1/6*((3*A*d^2*e+B*d^3)*c^2+2*(A*e^3+3*B*d*e^2)*a*c)*x^6+1/5*(A*d^3*c^2+2*(3*A*d*e^2+3*B*d^2*e)*a*c+a^2*B*e^3)*x^5+1/4*(2*(3*A*d^2*e+B*d^3)*a*c+(A*e^3+3*B*d*e^2)*a^2)*x^4+1/3*(2*A*d^3*a*c+(3*A*d*e^2+3*B*d^2*e)*a^2)*x^3+1/2*(3*A*d^2*e+B*d^3)*a^2*x^2+A*d^3*a^2*x","A"
1300,1,177,194,0.043000," ","int((B*x+A)*(e*x+d)^2*(c*x^2+a)^2,x)","\frac{B \,c^{2} e^{2} x^{8}}{8}+\frac{\left(A \,e^{2}+2 B d e \right) c^{2} x^{7}}{7}+A \,a^{2} d^{2} x +\frac{\left(2 B a c \,e^{2}+\left(2 A d e +B \,d^{2}\right) c^{2}\right) x^{6}}{6}+\frac{\left(A \,c^{2} d^{2}+2 \left(A \,e^{2}+2 B d e \right) a c \right) x^{5}}{5}+\frac{\left(2 A d e +B \,d^{2}\right) a^{2} x^{2}}{2}+\frac{\left(B \,a^{2} e^{2}+2 \left(2 A d e +B \,d^{2}\right) a c \right) x^{4}}{4}+\frac{\left(2 A a c \,d^{2}+\left(A \,e^{2}+2 B d e \right) a^{2}\right) x^{3}}{3}"," ",0,"1/8*B*c^2*e^2*x^8+1/7*(A*e^2+2*B*d*e)*c^2*x^7+1/6*((2*A*d*e+B*d^2)*c^2+2*B*e^2*a*c)*x^6+1/5*(A*c^2*d^2+2*(A*e^2+2*B*d*e)*a*c)*x^5+1/4*(2*(2*A*d*e+B*d^2)*a*c+a^2*B*e^2)*x^4+1/3*(2*A*d^2*a*c+(A*e^2+2*B*d*e)*a^2)*x^3+1/2*(2*A*d*e+B*d^2)*a^2*x^2+A*d^2*a^2*x","A"
1301,1,99,94,0.043000," ","int((B*x+A)*(e*x+d)*(c*x^2+a)^2,x)","\frac{B \,c^{2} e \,x^{7}}{7}+\frac{\left(A e +B d \right) c^{2} x^{6}}{6}+\frac{\left(A e +B d \right) a c \,x^{4}}{2}+A \,a^{2} d x +\frac{\left(A \,c^{2} d +2 B e a c \right) x^{5}}{5}+\frac{\left(A e +B d \right) a^{2} x^{2}}{2}+\frac{\left(2 A d a c +B e \,a^{2}\right) x^{3}}{3}"," ",0,"1/7*B*c^2*e*x^7+1/6*c^2*(A*e+B*d)*x^6+1/5*(A*c^2*d+2*B*a*c*e)*x^5+1/2*a*c*(A*e+B*d)*x^4+1/3*(2*A*a*c*d+B*a^2*e)*x^3+1/2*a^2*(A*e+B*d)*x^2+a^2*A*d*x","A"
1302,1,51,39,0.040000," ","int((B*x+A)*(c*x^2+a)^2,x)","\frac{1}{6} B \,c^{2} x^{6}+\frac{1}{5} A \,c^{2} x^{5}+\frac{1}{2} B a c \,x^{4}+\frac{2}{3} A a c \,x^{3}+\frac{1}{2} B \,a^{2} x^{2}+A \,a^{2} x"," ",0,"1/6*B*c^2*x^6+1/5*A*c^2*x^5+1/2*B*a*c*x^4+2/3*A*a*c*x^3+1/2*B*a^2*x^2+A*a^2*x","A"
1303,1,285,161,0.046000," ","int((B*x+A)*(c*x^2+a)^2/(e*x+d),x)","\frac{B \,c^{2} x^{5}}{5 e}+\frac{A \,c^{2} x^{4}}{4 e}-\frac{B \,c^{2} d \,x^{4}}{4 e^{2}}-\frac{A \,c^{2} d \,x^{3}}{3 e^{2}}+\frac{2 B a c \,x^{3}}{3 e}+\frac{B \,c^{2} d^{2} x^{3}}{3 e^{3}}+\frac{A a c \,x^{2}}{e}+\frac{A \,c^{2} d^{2} x^{2}}{2 e^{3}}-\frac{B a c d \,x^{2}}{e^{2}}-\frac{B \,c^{2} d^{3} x^{2}}{2 e^{4}}+\frac{A \,a^{2} \ln \left(e x +d \right)}{e}+\frac{2 A a c \,d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{2 A a c d x}{e^{2}}+\frac{A \,c^{2} d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{A \,c^{2} d^{3} x}{e^{4}}-\frac{B \,a^{2} d \ln \left(e x +d \right)}{e^{2}}+\frac{B \,a^{2} x}{e}-\frac{2 B a c \,d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{2 B a c \,d^{2} x}{e^{3}}-\frac{B \,c^{2} d^{5} \ln \left(e x +d \right)}{e^{6}}+\frac{B \,c^{2} d^{4} x}{e^{5}}"," ",0,"1/5*B*c^2/e*x^5+1/4/e*A*x^4*c^2-1/4/e^2*B*x^4*c^2*d-1/3/e^2*A*x^3*c^2*d+2/3/e*B*x^3*a*c+1/3/e^3*B*x^3*c^2*d^2+1/e*A*x^2*a*c+1/2/e^3*A*x^2*c^2*d^2-1/e^2*B*x^2*a*c*d-1/2/e^4*B*x^2*c^2*d^3-2/e^2*A*x*a*c*d-1/e^4*A*x*c^2*d^3+1/e*B*x*a^2+2/e^3*B*x*a*c*d^2+1/e^5*B*x*c^2*d^4+1/e*ln(e*x+d)*A*a^2+2/e^3*ln(e*x+d)*A*a*c*d^2+1/e^5*ln(e*x+d)*A*c^2*d^4-1/e^2*ln(e*x+d)*B*a^2*d-2/e^4*ln(e*x+d)*B*a*c*d^3-1/e^6*ln(e*x+d)*B*c^2*d^5","A"
1304,1,309,174,0.054000," ","int((B*x+A)*(c*x^2+a)^2/(e*x+d)^2,x)","\frac{B \,c^{2} x^{4}}{4 e^{2}}+\frac{A \,c^{2} x^{3}}{3 e^{2}}-\frac{2 B \,c^{2} d \,x^{3}}{3 e^{3}}-\frac{A \,c^{2} d \,x^{2}}{e^{3}}+\frac{B a c \,x^{2}}{e^{2}}+\frac{3 B \,c^{2} d^{2} x^{2}}{2 e^{4}}-\frac{A \,a^{2}}{\left(e x +d \right) e}-\frac{2 A a c \,d^{2}}{\left(e x +d \right) e^{3}}-\frac{4 A a c d \ln \left(e x +d \right)}{e^{3}}+\frac{2 A a c x}{e^{2}}-\frac{A \,c^{2} d^{4}}{\left(e x +d \right) e^{5}}-\frac{4 A \,c^{2} d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{3 A \,c^{2} d^{2} x}{e^{4}}+\frac{B \,a^{2} d}{\left(e x +d \right) e^{2}}+\frac{B \,a^{2} \ln \left(e x +d \right)}{e^{2}}+\frac{2 B a c \,d^{3}}{\left(e x +d \right) e^{4}}+\frac{6 B a c \,d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{4 B a c d x}{e^{3}}+\frac{B \,c^{2} d^{5}}{\left(e x +d \right) e^{6}}+\frac{5 B \,c^{2} d^{4} \ln \left(e x +d \right)}{e^{6}}-\frac{4 B \,c^{2} d^{3} x}{e^{5}}"," ",0,"1/4*B*c^2/e^2*x^4+1/3*c^2/e^2*A*x^3-2/3*c^2/e^3*B*x^3*d-c^2/e^3*A*x^2*d+c/e^2*B*x^2*a+3/2*c^2/e^4*B*x^2*d^2+2*c/e^2*a*A*x+3*c^2/e^4*A*d^2*x-4*c/e^3*a*B*d*x-4*c^2/e^5*B*d^3*x-1/e/(e*x+d)*A*a^2-2/e^3/(e*x+d)*A*a*c*d^2-1/e^5/(e*x+d)*A*c^2*d^4+1/e^2/(e*x+d)*B*d*a^2+2/e^4/(e*x+d)*B*a*c*d^3+1/e^6/(e*x+d)*B*c^2*d^5-4/e^3*ln(e*x+d)*A*a*c*d-4/e^5*ln(e*x+d)*A*c^2*d^3+1/e^2*ln(e*x+d)*B*a^2+6/e^4*ln(e*x+d)*B*a*c*d^2+5/e^6*ln(e*x+d)*B*c^2*d^4","A"
1305,1,331,179,0.059000," ","int((B*x+A)*(c*x^2+a)^2/(e*x+d)^3,x)","\frac{B \,c^{2} x^{3}}{3 e^{3}}-\frac{A \,a^{2}}{2 \left(e x +d \right)^{2} e}-\frac{A a c \,d^{2}}{\left(e x +d \right)^{2} e^{3}}-\frac{A \,c^{2} d^{4}}{2 \left(e x +d \right)^{2} e^{5}}+\frac{A \,c^{2} x^{2}}{2 e^{3}}+\frac{B \,a^{2} d}{2 \left(e x +d \right)^{2} e^{2}}+\frac{B a c \,d^{3}}{\left(e x +d \right)^{2} e^{4}}+\frac{B \,c^{2} d^{5}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{3 B \,c^{2} d \,x^{2}}{2 e^{4}}+\frac{4 A a c d}{\left(e x +d \right) e^{3}}+\frac{2 A a c \ln \left(e x +d \right)}{e^{3}}+\frac{4 A \,c^{2} d^{3}}{\left(e x +d \right) e^{5}}+\frac{6 A \,c^{2} d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{3 A \,c^{2} d x}{e^{4}}-\frac{B \,a^{2}}{\left(e x +d \right) e^{2}}-\frac{6 B a c \,d^{2}}{\left(e x +d \right) e^{4}}-\frac{6 B a c d \ln \left(e x +d \right)}{e^{4}}+\frac{2 B a c x}{e^{3}}-\frac{5 B \,c^{2} d^{4}}{\left(e x +d \right) e^{6}}-\frac{10 B \,c^{2} d^{3} \ln \left(e x +d \right)}{e^{6}}+\frac{6 B \,c^{2} d^{2} x}{e^{5}}"," ",0,"1/3*B*c^2/e^3*x^3+1/2*c^2/e^3*A*x^2-3/2*c^2/e^4*B*x^2*d-3*c^2/e^4*A*x*d+2*c/e^3*B*x*a+6*c^2/e^5*B*x*d^2+4/e^3/(e*x+d)*A*a*c*d+4/e^5/(e*x+d)*A*c^2*d^3-1/e^2/(e*x+d)*B*a^2-6/e^4/(e*x+d)*B*a*c*d^2-5/e^6/(e*x+d)*B*c^2*d^4-1/2/e/(e*x+d)^2*A*a^2-1/e^3/(e*x+d)^2*A*d^2*a*c-1/2/e^5/(e*x+d)^2*A*c^2*d^4+1/2/e^2/(e*x+d)^2*B*d*a^2+1/e^4/(e*x+d)^2*B*a*c*d^3+1/2/e^6/(e*x+d)^2*B*c^2*d^5+2*c/e^3*ln(e*x+d)*a*A+6*c^2/e^5*ln(e*x+d)*A*d^2-6*c/e^4*ln(e*x+d)*a*B*d-10*c^2/e^6*ln(e*x+d)*B*d^3","A"
1306,1,346,183,0.055000," ","int((B*x+A)*(c*x^2+a)^2/(e*x+d)^4,x)","-\frac{A \,a^{2}}{3 \left(e x +d \right)^{3} e}-\frac{2 A a c \,d^{2}}{3 \left(e x +d \right)^{3} e^{3}}-\frac{A \,c^{2} d^{4}}{3 \left(e x +d \right)^{3} e^{5}}+\frac{B \,a^{2} d}{3 \left(e x +d \right)^{3} e^{2}}+\frac{2 B a c \,d^{3}}{3 \left(e x +d \right)^{3} e^{4}}+\frac{B \,c^{2} d^{5}}{3 \left(e x +d \right)^{3} e^{6}}+\frac{2 A a c d}{\left(e x +d \right)^{2} e^{3}}+\frac{2 A \,c^{2} d^{3}}{\left(e x +d \right)^{2} e^{5}}-\frac{B \,a^{2}}{2 \left(e x +d \right)^{2} e^{2}}-\frac{3 B a c \,d^{2}}{\left(e x +d \right)^{2} e^{4}}-\frac{5 B \,c^{2} d^{4}}{2 \left(e x +d \right)^{2} e^{6}}+\frac{B \,c^{2} x^{2}}{2 e^{4}}-\frac{2 A a c}{\left(e x +d \right) e^{3}}-\frac{6 A \,c^{2} d^{2}}{\left(e x +d \right) e^{5}}-\frac{4 A \,c^{2} d \ln \left(e x +d \right)}{e^{5}}+\frac{A \,c^{2} x}{e^{4}}+\frac{6 B a c d}{\left(e x +d \right) e^{4}}+\frac{2 B a c \ln \left(e x +d \right)}{e^{4}}+\frac{10 B \,c^{2} d^{3}}{\left(e x +d \right) e^{6}}+\frac{10 B \,c^{2} d^{2} \ln \left(e x +d \right)}{e^{6}}-\frac{4 B \,c^{2} d x}{e^{5}}"," ",0,"1/2*B*c^2/e^4*x^2+c^2/e^4*A*x-4*c^2/e^5*B*d*x-2*c/e^3/(e*x+d)*a*A-6*c^2/e^5/(e*x+d)*A*d^2+6*c/e^4/(e*x+d)*a*B*d+10*c^2/e^6/(e*x+d)*B*d^3+2/e^3/(e*x+d)^2*A*a*c*d+2/e^5/(e*x+d)^2*A*c^2*d^3-1/2/e^2/(e*x+d)^2*B*a^2-3/e^4/(e*x+d)^2*B*a*c*d^2-5/2/e^6/(e*x+d)^2*B*c^2*d^4-1/3/e/(e*x+d)^3*A*a^2-2/3/e^3/(e*x+d)^3*A*d^2*a*c-1/3/e^5/(e*x+d)^3*A*c^2*d^4+1/3/e^2/(e*x+d)^3*B*d*a^2+2/3/e^4/(e*x+d)^3*B*d^3*a*c+1/3/e^6/(e*x+d)^3*B*c^2*d^5-4*c^2/e^5*ln(e*x+d)*A*d+2*c/e^4*ln(e*x+d)*B*a+10*c^2/e^6*ln(e*x+d)*B*d^2","A"
1307,1,356,185,0.058000," ","int((B*x+A)*(c*x^2+a)^2/(e*x+d)^5,x)","-\frac{A \,a^{2}}{4 \left(e x +d \right)^{4} e}-\frac{A a c \,d^{2}}{2 \left(e x +d \right)^{4} e^{3}}-\frac{A \,c^{2} d^{4}}{4 \left(e x +d \right)^{4} e^{5}}+\frac{B \,a^{2} d}{4 \left(e x +d \right)^{4} e^{2}}+\frac{B a c \,d^{3}}{2 \left(e x +d \right)^{4} e^{4}}+\frac{B \,c^{2} d^{5}}{4 \left(e x +d \right)^{4} e^{6}}+\frac{4 A a c d}{3 \left(e x +d \right)^{3} e^{3}}+\frac{4 A \,c^{2} d^{3}}{3 \left(e x +d \right)^{3} e^{5}}-\frac{B \,a^{2}}{3 \left(e x +d \right)^{3} e^{2}}-\frac{2 B a c \,d^{2}}{\left(e x +d \right)^{3} e^{4}}-\frac{5 B \,c^{2} d^{4}}{3 \left(e x +d \right)^{3} e^{6}}-\frac{A a c}{\left(e x +d \right)^{2} e^{3}}-\frac{3 A \,c^{2} d^{2}}{\left(e x +d \right)^{2} e^{5}}+\frac{3 B a c d}{\left(e x +d \right)^{2} e^{4}}+\frac{5 B \,c^{2} d^{3}}{\left(e x +d \right)^{2} e^{6}}+\frac{4 A \,c^{2} d}{\left(e x +d \right) e^{5}}+\frac{A \,c^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{2 B a c}{\left(e x +d \right) e^{4}}-\frac{10 B \,c^{2} d^{2}}{\left(e x +d \right) e^{6}}-\frac{5 B \,c^{2} d \ln \left(e x +d \right)}{e^{6}}+\frac{B \,c^{2} x}{e^{5}}"," ",0,"B*c^2/e^5*x+4/(e*x+d)*A*c^2*d/e^5-2*c/e^4/(e*x+d)*B*a-10/(e*x+d)*B*c^2*d^2/e^6-1/4/e/(e*x+d)^4*A*a^2-1/2/e^3/(e*x+d)^4*A*d^2*a*c-1/4/(e*x+d)^4*A*c^2*d^4/e^5+1/4/e^2/(e*x+d)^4*B*d*a^2+1/2/e^4/(e*x+d)^4*B*d^3*a*c+1/4/(e*x+d)^4*B*c^2*d^5/e^6-c/e^3/(e*x+d)^2*a*A-3/(e*x+d)^2*A*c^2*d^2/e^5+3*c/e^4/(e*x+d)^2*a*B*d+5/(e*x+d)^2*B*c^2*d^3/e^6+4/3/e^3/(e*x+d)^3*A*a*c*d+4/3/(e*x+d)^3*A*c^2*d^3/e^5-1/3/e^2/(e*x+d)^3*B*a^2-2/e^4/(e*x+d)^3*B*a*c*d^2-5/3/(e*x+d)^3*B*c^2*d^4/e^6+A*c^2/e^5*ln(e*x+d)-5*B*c^2*d/e^6*ln(e*x+d)","A"
1308,1,362,191,0.051000," ","int((B*x+A)*(c*x^2+a)^2/(e*x+d)^6,x)","-\frac{A \,a^{2}}{5 \left(e x +d \right)^{5} e}-\frac{2 A a c \,d^{2}}{5 \left(e x +d \right)^{5} e^{3}}-\frac{A \,c^{2} d^{4}}{5 \left(e x +d \right)^{5} e^{5}}+\frac{B \,a^{2} d}{5 \left(e x +d \right)^{5} e^{2}}+\frac{2 B a c \,d^{3}}{5 \left(e x +d \right)^{5} e^{4}}+\frac{B \,c^{2} d^{5}}{5 \left(e x +d \right)^{5} e^{6}}+\frac{A a c d}{\left(e x +d \right)^{4} e^{3}}+\frac{A \,c^{2} d^{3}}{\left(e x +d \right)^{4} e^{5}}-\frac{B \,a^{2}}{4 \left(e x +d \right)^{4} e^{2}}-\frac{3 B a c \,d^{2}}{2 \left(e x +d \right)^{4} e^{4}}-\frac{5 B \,c^{2} d^{4}}{4 \left(e x +d \right)^{4} e^{6}}-\frac{2 A a c}{3 \left(e x +d \right)^{3} e^{3}}-\frac{2 A \,c^{2} d^{2}}{\left(e x +d \right)^{3} e^{5}}+\frac{2 B a c d}{\left(e x +d \right)^{3} e^{4}}+\frac{10 B \,c^{2} d^{3}}{3 \left(e x +d \right)^{3} e^{6}}+\frac{2 A \,c^{2} d}{\left(e x +d \right)^{2} e^{5}}-\frac{B a c}{\left(e x +d \right)^{2} e^{4}}-\frac{5 B \,c^{2} d^{2}}{\left(e x +d \right)^{2} e^{6}}-\frac{A \,c^{2}}{\left(e x +d \right) e^{5}}+\frac{5 B \,c^{2} d}{\left(e x +d \right) e^{6}}+\frac{B \,c^{2} \ln \left(e x +d \right)}{e^{6}}"," ",0,"-c^2/e^5/(e*x+d)*A+5*c^2/e^6/(e*x+d)*B*d+1/e^3/(e*x+d)^4*A*d*a*c+1/e^5/(e*x+d)^4*A*c^2*d^3-1/4/e^2/(e*x+d)^4*B*a^2-3/2/e^4/(e*x+d)^4*B*d^2*a*c-5/4/e^6/(e*x+d)^4*B*d^4*c^2+2*c^2/e^5/(e*x+d)^2*A*d-c/e^4/(e*x+d)^2*B*a-5*c^2/e^6/(e*x+d)^2*B*d^2-2/3*c/e^3/(e*x+d)^3*a*A-2*c^2/e^5/(e*x+d)^3*A*d^2+2*c/e^4/(e*x+d)^3*a*B*d+10/3*c^2/e^6/(e*x+d)^3*B*d^3+B*c^2/e^6*ln(e*x+d)-1/5/e/(e*x+d)^5*A*a^2-2/5/e^3/(e*x+d)^5*A*d^2*a*c-1/5/e^5/(e*x+d)^5*A*c^2*d^4+1/5/e^2/(e*x+d)^5*B*d*a^2+2/5/e^4/(e*x+d)^5*B*d^3*a*c+1/5/e^6/(e*x+d)^5*B*c^2*d^5","A"
1309,1,249,194,0.051000," ","int((B*x+A)*(c*x^2+a)^2/(e*x+d)^7,x)","-\frac{B \,c^{2}}{\left(e x +d \right) e^{6}}-\frac{\left(A e -5 B d \right) c^{2}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{\left(a A \,e^{3}+3 A c \,d^{2} e -3 a B d \,e^{2}-5 B c \,d^{3}\right) c}{2 \left(e x +d \right)^{4} e^{6}}+\frac{2 \left(2 A c d e -B a \,e^{2}-5 B c \,d^{2}\right) c}{3 \left(e x +d \right)^{3} e^{6}}-\frac{A \,a^{2} e^{5}+2 A \,d^{2} a c \,e^{3}+A \,c^{2} d^{4} e -B d \,a^{2} e^{4}-2 B \,d^{3} a c \,e^{2}-B \,d^{5} c^{2}}{6 \left(e x +d \right)^{6} e^{6}}-\frac{-4 A d a c \,e^{3}-4 A \,c^{2} d^{3} e +B \,a^{2} e^{4}+6 B \,d^{2} a c \,e^{2}+5 B \,d^{4} c^{2}}{5 \left(e x +d \right)^{5} e^{6}}"," ",0,"-1/(e*x+d)*B*c^2/e^6-1/2*c*(A*a*e^3+3*A*c*d^2*e-3*B*a*d*e^2-5*B*c*d^3)/e^6/(e*x+d)^4-1/2*c^2*(A*e-5*B*d)/e^6/(e*x+d)^2+2/3*c*(2*A*c*d*e-B*a*e^2-5*B*c*d^2)/e^6/(e*x+d)^3-1/6*(A*a^2*e^5+2*A*a*c*d^2*e^3+A*c^2*d^4*e-B*a^2*d*e^4-2*B*a*c*d^3*e^2-B*c^2*d^5)/e^6/(e*x+d)^6-1/5*(-4*A*a*c*d*e^3-4*A*c^2*d^3*e+B*a^2*e^4+6*B*a*c*d^2*e^2+5*B*c^2*d^4)/e^6/(e*x+d)^5","A"
1310,1,249,194,0.048000," ","int((B*x+A)*(c*x^2+a)^2/(e*x+d)^8,x)","-\frac{B \,c^{2}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{\left(A e -5 B d \right) c^{2}}{3 \left(e x +d \right)^{3} e^{6}}+\frac{\left(2 A c d e -B a \,e^{2}-5 B c \,d^{2}\right) c}{2 \left(e x +d \right)^{4} e^{6}}-\frac{2 \left(a A \,e^{3}+3 A c \,d^{2} e -3 a B d \,e^{2}-5 B c \,d^{3}\right) c}{5 \left(e x +d \right)^{5} e^{6}}-\frac{-4 A d a c \,e^{3}-4 A \,c^{2} d^{3} e +B \,a^{2} e^{4}+6 B \,d^{2} a c \,e^{2}+5 B \,d^{4} c^{2}}{6 \left(e x +d \right)^{6} e^{6}}-\frac{A \,a^{2} e^{5}+2 A \,d^{2} a c \,e^{3}+A \,c^{2} d^{4} e -B d \,a^{2} e^{4}-2 B \,d^{3} a c \,e^{2}-B \,d^{5} c^{2}}{7 \left(e x +d \right)^{7} e^{6}}"," ",0,"1/2*c*(2*A*c*d*e-B*a*e^2-5*B*c*d^2)/e^6/(e*x+d)^4-1/2/(e*x+d)^2*B*c^2/e^6-1/3*c^2*(A*e-5*B*d)/e^6/(e*x+d)^3-1/6*(-4*A*a*c*d*e^3-4*A*c^2*d^3*e+B*a^2*e^4+6*B*a*c*d^2*e^2+5*B*c^2*d^4)/e^6/(e*x+d)^6-1/7*(A*a^2*e^5+2*A*a*c*d^2*e^3+A*c^2*d^4*e-B*a^2*d*e^4-2*B*a*c*d^3*e^2-B*c^2*d^5)/e^6/(e*x+d)^7-2/5*c*(A*a*e^3+3*A*c*d^2*e-3*B*a*d*e^2-5*B*c*d^3)/e^6/(e*x+d)^5","A"
1311,1,249,194,0.058000," ","int((B*x+A)*(c*x^2+a)^2/(e*x+d)^9,x)","-\frac{B \,c^{2}}{3 \left(e x +d \right)^{3} e^{6}}-\frac{\left(A e -5 B d \right) c^{2}}{4 \left(e x +d \right)^{4} e^{6}}+\frac{2 \left(2 A c d e -B a \,e^{2}-5 B c \,d^{2}\right) c}{5 \left(e x +d \right)^{5} e^{6}}-\frac{\left(a A \,e^{3}+3 A c \,d^{2} e -3 a B d \,e^{2}-5 B c \,d^{3}\right) c}{3 \left(e x +d \right)^{6} e^{6}}-\frac{A \,a^{2} e^{5}+2 A \,d^{2} a c \,e^{3}+A \,c^{2} d^{4} e -B d \,a^{2} e^{4}-2 B \,d^{3} a c \,e^{2}-B \,d^{5} c^{2}}{8 \left(e x +d \right)^{8} e^{6}}-\frac{-4 A d a c \,e^{3}-4 A \,c^{2} d^{3} e +B \,a^{2} e^{4}+6 B \,d^{2} a c \,e^{2}+5 B \,d^{4} c^{2}}{7 \left(e x +d \right)^{7} e^{6}}"," ",0,"-1/4*c^2*(A*e-5*B*d)/e^6/(e*x+d)^4-1/3*B*c^2/e^6/(e*x+d)^3-1/8*(A*a^2*e^5+2*A*a*c*d^2*e^3+A*c^2*d^4*e-B*a^2*d*e^4-2*B*a*c*d^3*e^2-B*c^2*d^5)/e^6/(e*x+d)^8-1/7*(-4*A*a*c*d*e^3-4*A*c^2*d^3*e+B*a^2*e^4+6*B*a*c*d^2*e^2+5*B*c^2*d^4)/e^6/(e*x+d)^7+2/5*c*(2*A*c*d*e-B*a*e^2-5*B*c*d^2)/e^6/(e*x+d)^5-1/3*c*(A*a*e^3+3*A*c*d^2*e-3*B*a*d*e^2-5*B*c*d^3)/e^6/(e*x+d)^6","A"
1312,1,249,194,0.052000," ","int((B*x+A)*(c*x^2+a)^2/(e*x+d)^10,x)","-\frac{B \,c^{2}}{4 \left(e x +d \right)^{4} e^{6}}-\frac{\left(A e -5 B d \right) c^{2}}{5 \left(e x +d \right)^{5} e^{6}}+\frac{\left(2 A c d e -B a \,e^{2}-5 B c \,d^{2}\right) c}{3 \left(e x +d \right)^{6} e^{6}}-\frac{2 \left(a A \,e^{3}+3 A c \,d^{2} e -3 a B d \,e^{2}-5 B c \,d^{3}\right) c}{7 \left(e x +d \right)^{7} e^{6}}-\frac{A \,a^{2} e^{5}+2 A \,d^{2} a c \,e^{3}+A \,c^{2} d^{4} e -B d \,a^{2} e^{4}-2 B \,d^{3} a c \,e^{2}-B \,d^{5} c^{2}}{9 \left(e x +d \right)^{9} e^{6}}-\frac{-4 A d a c \,e^{3}-4 A \,c^{2} d^{3} e +B \,a^{2} e^{4}+6 B \,d^{2} a c \,e^{2}+5 B \,d^{4} c^{2}}{8 \left(e x +d \right)^{8} e^{6}}"," ",0,"-1/9*(A*a^2*e^5+2*A*a*c*d^2*e^3+A*c^2*d^4*e-B*a^2*d*e^4-2*B*a*c*d^3*e^2-B*c^2*d^5)/e^6/(e*x+d)^9-1/4*B*c^2/e^6/(e*x+d)^4-1/8*(-4*A*a*c*d*e^3-4*A*c^2*d^3*e+B*a^2*e^4+6*B*a*c*d^2*e^2+5*B*c^2*d^4)/e^6/(e*x+d)^8+1/3*c*(2*A*c*d*e-B*a*e^2-5*B*c*d^2)/e^6/(e*x+d)^6-2/7*c*(A*a*e^3+3*A*c*d^2*e-3*B*a*d*e^2-5*B*c*d^3)/e^6/(e*x+d)^7-1/5*c^2*(A*e-5*B*d)/e^6/(e*x+d)^5","A"
1313,1,557,318,0.049000," ","int((B*x+A)*(e*x+d)^5*(c*x^2+a)^3,x)","\frac{B \,c^{3} e^{5} x^{13}}{13}+\frac{\left(A \,e^{5}+5 B d \,e^{4}\right) c^{3} x^{12}}{12}+\frac{\left(3 B a \,c^{2} e^{5}+\left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) c^{3}\right) x^{11}}{11}+A \,a^{3} d^{5} x +\frac{\left(3 \left(A \,e^{5}+5 B d \,e^{4}\right) a \,c^{2}+\left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) c^{3}\right) x^{10}}{10}+\frac{\left(3 B \,a^{2} c \,e^{5}+3 \left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) a \,c^{2}+\left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) c^{3}\right) x^{9}}{9}+\frac{\left(3 \left(A \,e^{5}+5 B d \,e^{4}\right) a^{2} c +3 \left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) a \,c^{2}+\left(5 A \,d^{4} e +B \,d^{5}\right) c^{3}\right) x^{8}}{8}+\frac{\left(A \,c^{3} d^{5}+B \,a^{3} e^{5}+3 \left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) a^{2} c +3 \left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) a \,c^{2}\right) x^{7}}{7}+\frac{\left(\left(A \,e^{5}+5 B d \,e^{4}\right) a^{3}+3 \left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) a^{2} c +3 \left(5 A \,d^{4} e +B \,d^{5}\right) a \,c^{2}\right) x^{6}}{6}+\frac{\left(5 A \,d^{4} e +B \,d^{5}\right) a^{3} x^{2}}{2}+\frac{\left(3 A a \,c^{2} d^{5}+\left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) a^{3}+3 \left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) a^{2} c \right) x^{5}}{5}+\frac{\left(\left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) a^{3}+3 \left(5 A \,d^{4} e +B \,d^{5}\right) a^{2} c \right) x^{4}}{4}+\frac{\left(3 A \,a^{2} c \,d^{5}+\left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) a^{3}\right) x^{3}}{3}"," ",0,"1/13*B*e^5*c^3*x^13+1/12*(A*e^5+5*B*d*e^4)*c^3*x^12+1/11*((5*A*d*e^4+10*B*d^2*e^3)*c^3+3*B*e^5*a*c^2)*x^11+1/10*((10*A*d^2*e^3+10*B*d^3*e^2)*c^3+3*(A*e^5+5*B*d*e^4)*a*c^2)*x^10+1/9*((10*A*d^3*e^2+5*B*d^4*e)*c^3+3*(5*A*d*e^4+10*B*d^2*e^3)*a*c^2+3*B*e^5*a^2*c)*x^9+1/8*((5*A*d^4*e+B*d^5)*c^3+3*(10*A*d^2*e^3+10*B*d^3*e^2)*a*c^2+3*(A*e^5+5*B*d*e^4)*a^2*c)*x^8+1/7*(A*d^5*c^3+3*(10*A*d^3*e^2+5*B*d^4*e)*a*c^2+3*(5*A*d*e^4+10*B*d^2*e^3)*a^2*c+B*e^5*a^3)*x^7+1/6*(3*(5*A*d^4*e+B*d^5)*a*c^2+3*(10*A*d^2*e^3+10*B*d^3*e^2)*a^2*c+(A*e^5+5*B*d*e^4)*a^3)*x^6+1/5*(3*A*d^5*a*c^2+3*(10*A*d^3*e^2+5*B*d^4*e)*a^2*c+(5*A*d*e^4+10*B*d^2*e^3)*a^3)*x^5+1/4*(3*(5*A*d^4*e+B*d^5)*a^2*c+(10*A*d^2*e^3+10*B*d^3*e^2)*a^3)*x^4+1/3*(3*A*d^5*a^2*c+(10*A*d^3*e^2+5*B*d^4*e)*a^3)*x^3+1/2*(5*A*d^4*e+B*d^5)*a^3*x^2+A*d^5*a^3*x","A"
1314,1,455,318,0.050000," ","int((B*x+A)*(e*x+d)^4*(c*x^2+a)^3,x)","\frac{B \,c^{3} e^{4} x^{12}}{12}+\frac{\left(A \,e^{4}+4 B d \,e^{3}\right) c^{3} x^{11}}{11}+\frac{\left(3 B a \,c^{2} e^{4}+\left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) c^{3}\right) x^{10}}{10}+A \,a^{3} d^{4} x +\frac{\left(3 \left(A \,e^{4}+4 B d \,e^{3}\right) a \,c^{2}+\left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) c^{3}\right) x^{9}}{9}+\frac{\left(3 B \,a^{2} c \,e^{4}+3 \left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) a \,c^{2}+\left(4 A \,d^{3} e +B \,d^{4}\right) c^{3}\right) x^{8}}{8}+\frac{\left(A \,c^{3} d^{4}+3 \left(A \,e^{4}+4 B d \,e^{3}\right) a^{2} c +3 \left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) a \,c^{2}\right) x^{7}}{7}+\frac{\left(B \,a^{3} e^{4}+3 \left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) a^{2} c +3 \left(4 A \,d^{3} e +B \,d^{4}\right) a \,c^{2}\right) x^{6}}{6}+\frac{\left(4 A \,d^{3} e +B \,d^{4}\right) a^{3} x^{2}}{2}+\frac{\left(3 A a \,c^{2} d^{4}+\left(A \,e^{4}+4 B d \,e^{3}\right) a^{3}+3 \left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) a^{2} c \right) x^{5}}{5}+\frac{\left(\left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) a^{3}+3 \left(4 A \,d^{3} e +B \,d^{4}\right) a^{2} c \right) x^{4}}{4}+\frac{\left(3 A \,a^{2} c \,d^{4}+\left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) a^{3}\right) x^{3}}{3}"," ",0,"1/12*B*c^3*e^4*x^12+1/11*(A*e^4+4*B*d*e^3)*c^3*x^11+1/10*((4*A*d*e^3+6*B*d^2*e^2)*c^3+3*B*e^4*a*c^2)*x^10+1/9*((6*A*d^2*e^2+4*B*d^3*e)*c^3+3*(A*e^4+4*B*d*e^3)*a*c^2)*x^9+1/8*((4*A*d^3*e+B*d^4)*c^3+3*(4*A*d*e^3+6*B*d^2*e^2)*a*c^2+3*B*e^4*a^2*c)*x^8+1/7*(A*d^4*c^3+3*(6*A*d^2*e^2+4*B*d^3*e)*a*c^2+3*(A*e^4+4*B*d*e^3)*a^2*c)*x^7+1/6*(3*(4*A*d^3*e+B*d^4)*a*c^2+3*(4*A*d*e^3+6*B*d^2*e^2)*a^2*c+B*e^4*a^3)*x^6+1/5*(3*A*d^4*a*c^2+3*(6*A*d^2*e^2+4*B*d^3*e)*a^2*c+(A*e^4+4*B*d*e^3)*a^3)*x^5+1/4*(3*(4*A*d^3*e+B*d^4)*a^2*c+(4*A*d*e^3+6*B*d^2*e^2)*a^3)*x^4+1/3*(3*A*d^4*a^2*c+(6*A*d^2*e^2+4*B*d^3*e)*a^3)*x^3+1/2*(4*A*d^3*e+B*d^4)*a^3*x^2+A*d^4*a^3*x","A"
1315,1,353,318,0.041000," ","int((B*x+A)*(e*x+d)^3*(c*x^2+a)^3,x)","\frac{B \,c^{3} e^{3} x^{11}}{11}+\frac{\left(A \,e^{3}+3 B d \,e^{2}\right) c^{3} x^{10}}{10}+\frac{\left(3 B a \,c^{2} e^{3}+\left(3 A d \,e^{2}+3 B \,d^{2} e \right) c^{3}\right) x^{9}}{9}+A \,a^{3} d^{3} x +\frac{\left(3 \left(A \,e^{3}+3 B d \,e^{2}\right) a \,c^{2}+\left(3 A \,d^{2} e +B \,d^{3}\right) c^{3}\right) x^{8}}{8}+\frac{\left(A \,c^{3} d^{3}+3 B \,a^{2} c \,e^{3}+3 \left(3 A d \,e^{2}+3 B \,d^{2} e \right) a \,c^{2}\right) x^{7}}{7}+\frac{\left(3 \left(A \,e^{3}+3 B d \,e^{2}\right) a^{2} c +3 \left(3 A \,d^{2} e +B \,d^{3}\right) a \,c^{2}\right) x^{6}}{6}+\frac{\left(3 A \,d^{2} e +B \,d^{3}\right) a^{3} x^{2}}{2}+\frac{\left(3 A a \,c^{2} d^{3}+B \,a^{3} e^{3}+3 \left(3 A d \,e^{2}+3 B \,d^{2} e \right) a^{2} c \right) x^{5}}{5}+\frac{\left(\left(A \,e^{3}+3 B d \,e^{2}\right) a^{3}+3 \left(3 A \,d^{2} e +B \,d^{3}\right) a^{2} c \right) x^{4}}{4}+\frac{\left(3 A \,a^{2} c \,d^{3}+\left(3 A d \,e^{2}+3 B \,d^{2} e \right) a^{3}\right) x^{3}}{3}"," ",0,"1/11*B*c^3*e^3*x^11+1/10*(A*e^3+3*B*d*e^2)*c^3*x^10+1/9*((3*A*d*e^2+3*B*d^2*e)*c^3+3*B*e^3*a*c^2)*x^9+1/8*((3*A*d^2*e+B*d^3)*c^3+3*(A*e^3+3*B*d*e^2)*a*c^2)*x^8+1/7*(A*c^3*d^3+3*(3*A*d*e^2+3*B*d^2*e)*a*c^2+3*B*e^3*a^2*c)*x^7+1/6*(3*(3*A*d^2*e+B*d^3)*a*c^2+3*(A*e^3+3*B*d*e^2)*a^2*c)*x^6+1/5*(3*A*d^3*a*c^2+3*(3*A*d*e^2+3*B*d^2*e)*a^2*c+B*e^3*a^3)*x^5+1/4*(3*(3*A*d^2*e+B*d^3)*a^2*c+(A*e^3+3*B*d*e^2)*a^3)*x^4+1/3*(3*A*d^3*a^2*c+(3*A*d*e^2+3*B*d^2*e)*a^3)*x^3+1/2*(3*A*d^2*e+B*d^3)*a^3*x^2+A*d^3*a^3*x","A"
1316,1,251,318,0.043000," ","int((B*x+A)*(e*x+d)^2*(c*x^2+a)^3,x)","\frac{B \,c^{3} e^{2} x^{10}}{10}+\frac{\left(A \,e^{2}+2 B d e \right) c^{3} x^{9}}{9}+\frac{\left(3 B a \,c^{2} e^{2}+\left(2 A d e +B \,d^{2}\right) c^{3}\right) x^{8}}{8}+A \,a^{3} d^{2} x +\frac{\left(A \,c^{3} d^{2}+3 \left(A \,e^{2}+2 B d e \right) a \,c^{2}\right) x^{7}}{7}+\frac{\left(3 B \,a^{2} c \,e^{2}+3 \left(2 A d e +B \,d^{2}\right) a \,c^{2}\right) x^{6}}{6}+\frac{\left(2 A d e +B \,d^{2}\right) a^{3} x^{2}}{2}+\frac{\left(3 A a \,c^{2} d^{2}+3 \left(A \,e^{2}+2 B d e \right) a^{2} c \right) x^{5}}{5}+\frac{\left(B \,a^{3} e^{2}+3 \left(2 A d e +B \,d^{2}\right) a^{2} c \right) x^{4}}{4}+\frac{\left(3 A \,a^{2} c \,d^{2}+\left(A \,e^{2}+2 B d e \right) a^{3}\right) x^{3}}{3}"," ",0,"1/10*B*c^3*e^2*x^10+1/9*(A*e^2+2*B*d*e)*c^3*x^9+1/8*((2*A*d*e+B*d^2)*c^3+3*B*e^2*a*c^2)*x^8+1/7*(A*c^3*d^2+3*(A*e^2+2*B*d*e)*a*c^2)*x^7+1/6*(3*(2*A*d*e+B*d^2)*a*c^2+3*B*e^2*a^2*c)*x^6+1/5*(3*A*d^2*a*c^2+3*(A*e^2+2*B*d*e)*a^2*c)*x^5+1/4*(3*(2*A*d*e+B*d^2)*a^2*c+B*e^2*a^3)*x^4+1/3*(3*A*d^2*a^2*c+(A*e^2+2*B*d*e)*a^3)*x^3+1/2*(2*A*d*e+B*d^2)*a^3*x^2+A*d^2*a^3*x","A"
1317,1,143,132,0.044000," ","int((B*x+A)*(e*x+d)*(c*x^2+a)^3,x)","\frac{B \,c^{3} e \,x^{9}}{9}+\frac{\left(A e +B d \right) c^{3} x^{8}}{8}+\frac{\left(A e +B d \right) a \,c^{2} x^{6}}{2}+\frac{3 \left(A e +B d \right) a^{2} c \,x^{4}}{4}+\frac{\left(A d \,c^{3}+3 B e a \,c^{2}\right) x^{7}}{7}+A \,a^{3} d x +\frac{\left(A e +B d \right) a^{3} x^{2}}{2}+\frac{\left(3 A d a \,c^{2}+3 B e \,a^{2} c \right) x^{5}}{5}+\frac{\left(3 A d \,a^{2} c +B e \,a^{3}\right) x^{3}}{3}"," ",0,"1/9*B*c^3*e*x^9+1/8*c^3*(A*e+B*d)*x^8+1/7*(A*c^3*d+3*B*a*c^2*e)*x^7+1/2*a*c^2*(A*e+B*d)*x^6+1/5*(3*A*a*c^2*d+3*B*a^2*c*e)*x^5+3/4*a^2*c*(A*e+B*d)*x^4+1/3*(3*A*a^2*c*d+B*a^3*e)*x^3+1/2*a^3*(A*e+B*d)*x^2+a^3*A*d*x","A"
1318,1,74,50,0.041000," ","int((B*x+A)*(c*x^2+a)^3,x)","\frac{1}{8} B \,c^{3} x^{8}+\frac{1}{7} A \,c^{3} x^{7}+\frac{1}{2} B a \,c^{2} x^{6}+\frac{3}{5} A a \,c^{2} x^{5}+\frac{3}{4} B \,a^{2} c \,x^{4}+A \,a^{2} c \,x^{3}+\frac{1}{2} B \,a^{3} x^{2}+A \,a^{3} x"," ",0,"1/8*B*c^3*x^8+1/7*A*c^3*x^7+1/2*B*a*c^2*x^6+3/5*A*a*c^2*x^5+3/4*B*a^2*c*x^4+A*a^2*c*x^3+1/2*B*a^3*x^2+A*a^3*x","A"
1319,1,526,278,0.049000," ","int((B*x+A)*(c*x^2+a)^3/(e*x+d),x)","\frac{B \,c^{3} x^{7}}{7 e}+\frac{A \,c^{3} x^{6}}{6 e}-\frac{B \,c^{3} d \,x^{6}}{6 e^{2}}-\frac{A \,c^{3} d \,x^{5}}{5 e^{2}}+\frac{3 B a \,c^{2} x^{5}}{5 e}+\frac{B \,c^{3} d^{2} x^{5}}{5 e^{3}}+\frac{3 A a \,c^{2} x^{4}}{4 e}+\frac{A \,c^{3} d^{2} x^{4}}{4 e^{3}}-\frac{3 B a \,c^{2} d \,x^{4}}{4 e^{2}}-\frac{B \,c^{3} d^{3} x^{4}}{4 e^{4}}-\frac{A a \,c^{2} d \,x^{3}}{e^{2}}-\frac{A \,c^{3} d^{3} x^{3}}{3 e^{4}}+\frac{B \,a^{2} c \,x^{3}}{e}+\frac{B a \,c^{2} d^{2} x^{3}}{e^{3}}+\frac{B \,c^{3} d^{4} x^{3}}{3 e^{5}}+\frac{3 A \,a^{2} c \,x^{2}}{2 e}+\frac{3 A a \,c^{2} d^{2} x^{2}}{2 e^{3}}+\frac{A \,c^{3} d^{4} x^{2}}{2 e^{5}}-\frac{3 B \,a^{2} c d \,x^{2}}{2 e^{2}}-\frac{3 B a \,c^{2} d^{3} x^{2}}{2 e^{4}}-\frac{B \,c^{3} d^{5} x^{2}}{2 e^{6}}+\frac{A \,a^{3} \ln \left(e x +d \right)}{e}+\frac{3 A \,a^{2} c \,d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{3 A \,a^{2} c d x}{e^{2}}+\frac{3 A a \,c^{2} d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{3 A a \,c^{2} d^{3} x}{e^{4}}+\frac{A \,c^{3} d^{6} \ln \left(e x +d \right)}{e^{7}}-\frac{A \,c^{3} d^{5} x}{e^{6}}-\frac{B \,a^{3} d \ln \left(e x +d \right)}{e^{2}}+\frac{B \,a^{3} x}{e}-\frac{3 B \,a^{2} c \,d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{3 B \,a^{2} c \,d^{2} x}{e^{3}}-\frac{3 B a \,c^{2} d^{5} \ln \left(e x +d \right)}{e^{6}}+\frac{3 B a \,c^{2} d^{4} x}{e^{5}}-\frac{B \,c^{3} d^{7} \ln \left(e x +d \right)}{e^{8}}+\frac{B \,c^{3} d^{6} x}{e^{7}}"," ",0,"1/6/e*A*x^6*c^3+1/e*B*x*a^3+1/e*ln(e*x+d)*A*a^3-1/6/e^2*B*x^6*c^3*d+1/2/e^5*A*x^2*c^3*d^4-1/e^2*ln(e*x+d)*B*a^3*d-1/e^8*ln(e*x+d)*B*c^3*d^7-1/3/e^4*A*x^3*c^3*d^3+1/5/e^3*B*x^5*c^3*d^2+3/4/e*A*x^4*a*c^2-1/5/e^2*A*x^5*c^3*d+1/e^7*ln(e*x+d)*A*c^3*d^6-1/e^6*A*x*c^3*d^5-1/2/e^6*B*x^2*c^3*d^5+1/e^7*B*x*c^3*d^6+1/e*B*x^3*a^2*c+3/5/e*B*x^5*a*c^2+3/2/e*A*x^2*a^2*c+1/4/e^3*A*x^4*c^3*d^2-1/4/e^4*B*x^4*c^3*d^3+1/3/e^5*B*x^3*c^3*d^4+3/e^5*B*x*a*c^2*d^4-3/e^2*A*x*a^2*c*d-3/e^4*A*x*a*c^2*d^3+3/e^3*B*x*a^2*c*d^2+1/e^3*B*x^3*a*c^2*d^2+3/e^3*ln(e*x+d)*A*a^2*c*d^2+3/e^5*ln(e*x+d)*A*a*c^2*d^4-3/e^4*ln(e*x+d)*B*a^2*c*d^3-3/e^6*ln(e*x+d)*B*a*c^2*d^5-3/2/e^4*B*x^2*a*c^2*d^3-3/2/e^2*B*x^2*a^2*c*d+3/2/e^3*A*x^2*a*c^2*d^2-1/e^2*A*x^3*a*c^2*d-3/4/e^2*B*x^4*a*c^2*d+1/7*B*c^3/e*x^7","A"
1320,1,558,299,0.056000," ","int((B*x+A)*(c*x^2+a)^3/(e*x+d)^2,x)","\frac{B \,c^{3} x^{6}}{6 e^{2}}+\frac{A \,c^{3} x^{5}}{5 e^{2}}-\frac{2 B \,c^{3} d \,x^{5}}{5 e^{3}}-\frac{A \,c^{3} d \,x^{4}}{2 e^{3}}+\frac{3 B a \,c^{2} x^{4}}{4 e^{2}}+\frac{3 B \,c^{3} d^{2} x^{4}}{4 e^{4}}+\frac{A a \,c^{2} x^{3}}{e^{2}}+\frac{A \,c^{3} d^{2} x^{3}}{e^{4}}-\frac{2 B a \,c^{2} d \,x^{3}}{e^{3}}-\frac{4 B \,c^{3} d^{3} x^{3}}{3 e^{5}}-\frac{3 A a \,c^{2} d \,x^{2}}{e^{3}}-\frac{2 A \,c^{3} d^{3} x^{2}}{e^{5}}+\frac{3 B \,a^{2} c \,x^{2}}{2 e^{2}}+\frac{9 B a \,c^{2} d^{2} x^{2}}{2 e^{4}}+\frac{5 B \,c^{3} d^{4} x^{2}}{2 e^{6}}-\frac{A \,a^{3}}{\left(e x +d \right) e}-\frac{3 A \,a^{2} c \,d^{2}}{\left(e x +d \right) e^{3}}-\frac{6 A \,a^{2} c d \ln \left(e x +d \right)}{e^{3}}+\frac{3 A \,a^{2} c x}{e^{2}}-\frac{3 A a \,c^{2} d^{4}}{\left(e x +d \right) e^{5}}-\frac{12 A a \,c^{2} d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{9 A a \,c^{2} d^{2} x}{e^{4}}-\frac{A \,c^{3} d^{6}}{\left(e x +d \right) e^{7}}-\frac{6 A \,c^{3} d^{5} \ln \left(e x +d \right)}{e^{7}}+\frac{5 A \,c^{3} d^{4} x}{e^{6}}+\frac{B \,a^{3} d}{\left(e x +d \right) e^{2}}+\frac{B \,a^{3} \ln \left(e x +d \right)}{e^{2}}+\frac{3 B \,a^{2} c \,d^{3}}{\left(e x +d \right) e^{4}}+\frac{9 B \,a^{2} c \,d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{6 B \,a^{2} c d x}{e^{3}}+\frac{3 B a \,c^{2} d^{5}}{\left(e x +d \right) e^{6}}+\frac{15 B a \,c^{2} d^{4} \ln \left(e x +d \right)}{e^{6}}-\frac{12 B a \,c^{2} d^{3} x}{e^{5}}+\frac{B \,c^{3} d^{7}}{\left(e x +d \right) e^{8}}+\frac{7 B \,c^{3} d^{6} \ln \left(e x +d \right)}{e^{8}}-\frac{6 B \,c^{3} d^{5} x}{e^{7}}"," ",0,"-3/e^5/(e*x+d)*A*a*c^2*d^4+1/e^2*ln(e*x+d)*B*a^3+1/5*c^3/e^2*A*x^5-1/e/(e*x+d)*A*a^3-6*c^3/e^7*B*d^5*x-1/e^7/(e*x+d)*A*c^3*d^6-12/e^5*ln(e*x+d)*A*a*c^2*d^3+9/e^4*ln(e*x+d)*B*a^2*c*d^2+15/e^6*ln(e*x+d)*B*a*c^2*d^4+3/e^4/(e*x+d)*B*a^2*c*d^3+3/e^6/(e*x+d)*B*a*c^2*d^5-6/e^3*ln(e*x+d)*A*a^2*c*d+9*c^2/e^4*A*d^2*a*x-6*c/e^3*B*d*a^2*x-12*c^2/e^5*B*d^3*a*x+9/2*c^2/e^4*B*x^2*a*d^2-2*c^2/e^3*B*x^3*a*d-3*c^2/e^3*A*x^2*a*d-3/e^3/(e*x+d)*A*a^2*c*d^2+1/e^2/(e*x+d)*B*d*a^3+1/e^8/(e*x+d)*B*c^3*d^7-6/e^7*ln(e*x+d)*A*c^3*d^5-2/5*c^3/e^3*B*x^5*d-1/2*c^3/e^3*A*x^4*d+7/e^8*ln(e*x+d)*B*c^3*d^6+3/4*c^2/e^2*B*x^4*a+3/4*c^3/e^4*B*x^4*d^2+c^2/e^2*A*x^3*a+c^3/e^4*A*x^3*d^2-4/3*c^3/e^5*B*x^3*d^3-2*c^3/e^5*A*x^2*d^3+3/2*c/e^2*B*x^2*a^2+5/2*c^3/e^6*B*x^2*d^4+3*c/e^2*A*a^2*x+5*c^3/e^6*A*d^4*x+1/6*B*c^3/e^2*x^6","A"
1321,1,589,292,0.057000," ","int((B*x+A)*(c*x^2+a)^3/(e*x+d)^3,x)","\frac{B \,c^{3} x^{5}}{5 e^{3}}+\frac{A \,c^{3} x^{4}}{4 e^{3}}-\frac{3 B \,c^{3} d \,x^{4}}{4 e^{4}}-\frac{A \,c^{3} d \,x^{3}}{e^{4}}+\frac{B a \,c^{2} x^{3}}{e^{3}}+\frac{2 B \,c^{3} d^{2} x^{3}}{e^{5}}-\frac{A \,a^{3}}{2 \left(e x +d \right)^{2} e}-\frac{3 A \,a^{2} c \,d^{2}}{2 \left(e x +d \right)^{2} e^{3}}-\frac{3 A a \,c^{2} d^{4}}{2 \left(e x +d \right)^{2} e^{5}}+\frac{3 A a \,c^{2} x^{2}}{2 e^{3}}-\frac{A \,c^{3} d^{6}}{2 \left(e x +d \right)^{2} e^{7}}+\frac{3 A \,c^{3} d^{2} x^{2}}{e^{5}}+\frac{B \,a^{3} d}{2 \left(e x +d \right)^{2} e^{2}}+\frac{3 B \,a^{2} c \,d^{3}}{2 \left(e x +d \right)^{2} e^{4}}+\frac{3 B a \,c^{2} d^{5}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{9 B a \,c^{2} d \,x^{2}}{2 e^{4}}+\frac{B \,c^{3} d^{7}}{2 \left(e x +d \right)^{2} e^{8}}-\frac{5 B \,c^{3} d^{3} x^{2}}{e^{6}}+\frac{6 A \,a^{2} c d}{\left(e x +d \right) e^{3}}+\frac{3 A \,a^{2} c \ln \left(e x +d \right)}{e^{3}}+\frac{12 A a \,c^{2} d^{3}}{\left(e x +d \right) e^{5}}+\frac{18 A a \,c^{2} d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{9 A a \,c^{2} d x}{e^{4}}+\frac{6 A \,c^{3} d^{5}}{\left(e x +d \right) e^{7}}+\frac{15 A \,c^{3} d^{4} \ln \left(e x +d \right)}{e^{7}}-\frac{10 A \,c^{3} d^{3} x}{e^{6}}-\frac{B \,a^{3}}{\left(e x +d \right) e^{2}}-\frac{9 B \,a^{2} c \,d^{2}}{\left(e x +d \right) e^{4}}-\frac{9 B \,a^{2} c d \ln \left(e x +d \right)}{e^{4}}+\frac{3 B \,a^{2} c x}{e^{3}}-\frac{15 B a \,c^{2} d^{4}}{\left(e x +d \right) e^{6}}-\frac{30 B a \,c^{2} d^{3} \ln \left(e x +d \right)}{e^{6}}+\frac{18 B a \,c^{2} d^{2} x}{e^{5}}-\frac{7 B \,c^{3} d^{6}}{\left(e x +d \right) e^{8}}-\frac{21 B \,c^{3} d^{5} \ln \left(e x +d \right)}{e^{8}}+\frac{15 B \,c^{3} d^{4} x}{e^{7}}"," ",0,"-c^3/e^4*A*x^3*d-7/e^8/(e*x+d)*B*c^3*d^6-1/2/e^7/(e*x+d)^2*A*c^3*d^6+1/2/e^2/(e*x+d)^2*B*d*a^3+6/e^7/(e*x+d)*A*c^3*d^5+1/4*c^3/e^3*A*x^4-1/e^2/(e*x+d)*B*a^3-1/2/e/(e*x+d)^2*A*a^3-15/e^6/(e*x+d)*B*a*c^2*d^4-3/2/e^3/(e*x+d)^2*A*d^2*a^2*c-3/2/e^5/(e*x+d)^2*A*a*c^2*d^4+3/2/e^4/(e*x+d)^2*B*a^2*c*d^3+3/2/e^6/(e*x+d)^2*B*a*c^2*d^5+3*c^3/e^5*A*x^2*d^2+1/2/e^8/(e*x+d)^2*B*c^3*d^7+3*c/e^3*ln(e*x+d)*A*a^2+15*c^3/e^7*ln(e*x+d)*A*d^4-21*c^3/e^8*ln(e*x+d)*B*d^5+15*c^3/e^7*B*x*d^4-3/4*c^3/e^4*B*x^4*d+18*c^2/e^5*ln(e*x+d)*A*d^2*a-9*c/e^4*ln(e*x+d)*B*d*a^2-30*c^2/e^6*ln(e*x+d)*B*d^3*a-9/2*c^2/e^4*B*x^2*a*d-9*c^2/e^4*A*x*a*d+18*c^2/e^5*B*x*a*d^2+6/e^3/(e*x+d)*A*a^2*c*d+12/e^5/(e*x+d)*A*a*c^2*d^3-9/e^4/(e*x+d)*B*a^2*c*d^2+3/2*c^2/e^3*A*x^2*a-5*c^3/e^6*B*x^2*d^3-10*c^3/e^6*A*x*d^3+3*c/e^3*B*x*a^2+c^2/e^3*B*x^3*a+2*c^3/e^5*B*x^3*d^2+1/5*B*c^3/e^3*x^5","B"
1322,1,611,300,0.068000," ","int((B*x+A)*(c*x^2+a)^3/(e*x+d)^4,x)","\frac{B \,c^{3} x^{4}}{4 e^{4}}-\frac{A \,a^{3}}{3 \left(e x +d \right)^{3} e}-\frac{A \,a^{2} c \,d^{2}}{\left(e x +d \right)^{3} e^{3}}-\frac{A a \,c^{2} d^{4}}{\left(e x +d \right)^{3} e^{5}}-\frac{A \,c^{3} d^{6}}{3 \left(e x +d \right)^{3} e^{7}}+\frac{A \,c^{3} x^{3}}{3 e^{4}}+\frac{B \,a^{3} d}{3 \left(e x +d \right)^{3} e^{2}}+\frac{B \,a^{2} c \,d^{3}}{\left(e x +d \right)^{3} e^{4}}+\frac{B a \,c^{2} d^{5}}{\left(e x +d \right)^{3} e^{6}}+\frac{B \,c^{3} d^{7}}{3 \left(e x +d \right)^{3} e^{8}}-\frac{4 B \,c^{3} d \,x^{3}}{3 e^{5}}+\frac{3 A \,a^{2} c d}{\left(e x +d \right)^{2} e^{3}}+\frac{6 A a \,c^{2} d^{3}}{\left(e x +d \right)^{2} e^{5}}+\frac{3 A \,c^{3} d^{5}}{\left(e x +d \right)^{2} e^{7}}-\frac{2 A \,c^{3} d \,x^{2}}{e^{5}}-\frac{B \,a^{3}}{2 \left(e x +d \right)^{2} e^{2}}-\frac{9 B \,a^{2} c \,d^{2}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{15 B a \,c^{2} d^{4}}{2 \left(e x +d \right)^{2} e^{6}}+\frac{3 B a \,c^{2} x^{2}}{2 e^{4}}-\frac{7 B \,c^{3} d^{6}}{2 \left(e x +d \right)^{2} e^{8}}+\frac{5 B \,c^{3} d^{2} x^{2}}{e^{6}}-\frac{3 A \,a^{2} c}{\left(e x +d \right) e^{3}}-\frac{18 A a \,c^{2} d^{2}}{\left(e x +d \right) e^{5}}-\frac{12 A a \,c^{2} d \ln \left(e x +d \right)}{e^{5}}+\frac{3 A a \,c^{2} x}{e^{4}}-\frac{15 A \,c^{3} d^{4}}{\left(e x +d \right) e^{7}}-\frac{20 A \,c^{3} d^{3} \ln \left(e x +d \right)}{e^{7}}+\frac{10 A \,c^{3} d^{2} x}{e^{6}}+\frac{9 B \,a^{2} c d}{\left(e x +d \right) e^{4}}+\frac{3 B \,a^{2} c \ln \left(e x +d \right)}{e^{4}}+\frac{30 B a \,c^{2} d^{3}}{\left(e x +d \right) e^{6}}+\frac{30 B a \,c^{2} d^{2} \ln \left(e x +d \right)}{e^{6}}-\frac{12 B a \,c^{2} d x}{e^{5}}+\frac{21 B \,c^{3} d^{5}}{\left(e x +d \right) e^{8}}+\frac{35 B \,c^{3} d^{4} \ln \left(e x +d \right)}{e^{8}}-\frac{20 B \,c^{3} d^{3} x}{e^{7}}"," ",0,"-12*c^2/e^5*a*B*d*x+3/e^3/(e*x+d)^2*A*a^2*c*d+6/e^5/(e*x+d)^2*A*a*c^2*d^3-9/2/e^4/(e*x+d)^2*B*a^2*c*d^2-15/2/e^6/(e*x+d)^2*B*a*c^2*d^4-1/e^3/(e*x+d)^3*A*d^2*a^2*c+3/e^7/(e*x+d)^2*A*c^3*d^5-7/2/e^8/(e*x+d)^2*B*c^3*d^6-1/2/e^2/(e*x+d)^2*B*a^3-1/3/e/(e*x+d)^3*A*a^3+1/3*c^3/e^4*A*x^3-18*c^2/e^5/(e*x+d)*A*d^2*a+9*c/e^4/(e*x+d)*B*a^2*d+30*c^2/e^6/(e*x+d)*B*d^3*a-12*c^2/e^5*ln(e*x+d)*A*d*a+30*c^2/e^6*ln(e*x+d)*B*d^2*a+1/e^4/(e*x+d)^3*B*d^3*a^2*c+1/e^6/(e*x+d)^3*B*a*c^2*d^5-1/3/e^7/(e*x+d)^3*A*c^3*d^6-4/3*c^3/e^5*B*x^3*d-2*c^3/e^5*A*x^2*d-20*c^3/e^7*ln(e*x+d)*A*d^3+3*c/e^4*ln(e*x+d)*B*a^2+35*c^3/e^8*ln(e*x+d)*B*d^4-1/e^5/(e*x+d)^3*A*a*c^2*d^4+3/2*c^2/e^4*B*x^2*a+5*c^3/e^6*B*x^2*d^2+3*c^2/e^4*a*A*x+10*c^3/e^6*A*d^2*x-20*c^3/e^7*B*d^3*x-3*c/e^3/(e*x+d)*A*a^2-15*c^3/e^7/(e*x+d)*A*d^4+21*c^3/e^8/(e*x+d)*B*d^5+1/3/e^8/(e*x+d)^3*B*c^3*d^7+1/3/e^2/(e*x+d)^3*B*d*a^3+1/4*B*c^3/e^4*x^4","B"
1323,1,632,304,0.066000," ","int((B*x+A)*(c*x^2+a)^3/(e*x+d)^5,x)","-\frac{A \,a^{3}}{4 \left(e x +d \right)^{4} e}-\frac{3 A \,a^{2} c \,d^{2}}{4 \left(e x +d \right)^{4} e^{3}}-\frac{3 A a \,c^{2} d^{4}}{4 \left(e x +d \right)^{4} e^{5}}-\frac{A \,c^{3} d^{6}}{4 \left(e x +d \right)^{4} e^{7}}+\frac{B \,a^{3} d}{4 \left(e x +d \right)^{4} e^{2}}+\frac{3 B \,a^{2} c \,d^{3}}{4 \left(e x +d \right)^{4} e^{4}}+\frac{3 B a \,c^{2} d^{5}}{4 \left(e x +d \right)^{4} e^{6}}+\frac{B \,c^{3} d^{7}}{4 \left(e x +d \right)^{4} e^{8}}+\frac{2 A \,a^{2} c d}{\left(e x +d \right)^{3} e^{3}}+\frac{4 A a \,c^{2} d^{3}}{\left(e x +d \right)^{3} e^{5}}+\frac{2 A \,c^{3} d^{5}}{\left(e x +d \right)^{3} e^{7}}-\frac{B \,a^{3}}{3 \left(e x +d \right)^{3} e^{2}}-\frac{3 B \,a^{2} c \,d^{2}}{\left(e x +d \right)^{3} e^{4}}-\frac{5 B a \,c^{2} d^{4}}{\left(e x +d \right)^{3} e^{6}}-\frac{7 B \,c^{3} d^{6}}{3 \left(e x +d \right)^{3} e^{8}}+\frac{B \,c^{3} x^{3}}{3 e^{5}}-\frac{3 A \,a^{2} c}{2 \left(e x +d \right)^{2} e^{3}}-\frac{9 A a \,c^{2} d^{2}}{\left(e x +d \right)^{2} e^{5}}-\frac{15 A \,c^{3} d^{4}}{2 \left(e x +d \right)^{2} e^{7}}+\frac{A \,c^{3} x^{2}}{2 e^{5}}+\frac{9 B \,a^{2} c d}{2 \left(e x +d \right)^{2} e^{4}}+\frac{15 B a \,c^{2} d^{3}}{\left(e x +d \right)^{2} e^{6}}+\frac{21 B \,c^{3} d^{5}}{2 \left(e x +d \right)^{2} e^{8}}-\frac{5 B \,c^{3} d \,x^{2}}{2 e^{6}}+\frac{12 A a \,c^{2} d}{\left(e x +d \right) e^{5}}+\frac{3 A a \,c^{2} \ln \left(e x +d \right)}{e^{5}}+\frac{20 A \,c^{3} d^{3}}{\left(e x +d \right) e^{7}}+\frac{15 A \,c^{3} d^{2} \ln \left(e x +d \right)}{e^{7}}-\frac{5 A \,c^{3} d x}{e^{6}}-\frac{3 B \,a^{2} c}{\left(e x +d \right) e^{4}}-\frac{30 B a \,c^{2} d^{2}}{\left(e x +d \right) e^{6}}-\frac{15 B a \,c^{2} d \ln \left(e x +d \right)}{e^{6}}+\frac{3 B a \,c^{2} x}{e^{5}}-\frac{35 B \,c^{3} d^{4}}{\left(e x +d \right) e^{8}}-\frac{35 B \,c^{3} d^{3} \ln \left(e x +d \right)}{e^{8}}+\frac{15 B \,c^{3} d^{2} x}{e^{7}}"," ",0,"1/2*c^3/e^5*A*x^2-1/3/e^2/(e*x+d)^3*B*a^3-1/4/e/(e*x+d)^4*A*a^3-7/3/e^8/(e*x+d)^3*B*c^3*d^6+20*c^3/e^7/(e*x+d)*A*d^3-3*c/e^4/(e*x+d)*B*a^2-35*c^3/e^8/(e*x+d)*B*d^4-1/4/e^7/(e*x+d)^4*A*c^3*d^6+1/4/e^2/(e*x+d)^4*B*d*a^3+1/4/e^8/(e*x+d)^4*B*c^3*d^7-5/2*c^3/e^6*B*x^2*d+3*c^2/e^5*ln(e*x+d)*a*A+15*c^3/e^7*ln(e*x+d)*A*d^2-35*c^3/e^8*ln(e*x+d)*B*d^3-3/2*c/e^3/(e*x+d)^2*A*a^2-15/2*c^3/e^7/(e*x+d)^2*A*d^4+21/2*c^3/e^8/(e*x+d)^2*B*d^5+2/e^7/(e*x+d)^3*A*c^3*d^5+12*c^2/e^5/(e*x+d)*A*d*a-30*c^2/e^6/(e*x+d)*B*d^2*a-3/4/e^3/(e*x+d)^4*A*d^2*a^2*c-3/4/e^5/(e*x+d)^4*A*d^4*a*c^2+3/4/e^4/(e*x+d)^4*B*d^3*a^2*c+2/e^3/(e*x+d)^3*A*a^2*c*d+4/e^5/(e*x+d)^3*A*a*c^2*d^3-3/e^4/(e*x+d)^3*B*a^2*c*d^2+3*c^2/e^5*B*x*a+15*c^3/e^7*B*x*d^2+1/3*B*c^3*x^3/e^5-5/e^6/(e*x+d)^3*B*a*c^2*d^4-15*c^2/e^6*ln(e*x+d)*a*B*d+3/4/e^6/(e*x+d)^4*B*a*c^2*d^5-9*c^2/e^5/(e*x+d)^2*A*d^2*a+9/2*c/e^4/(e*x+d)^2*B*a^2*d+15*c^2/e^6/(e*x+d)^2*B*d^3*a-5*c^3/e^6*A*x*d","B"
1324,1,646,305,0.061000," ","int((B*x+A)*(c*x^2+a)^3/(e*x+d)^6,x)","-\frac{A \,a^{3}}{5 \left(e x +d \right)^{5} e}-\frac{3 A \,a^{2} c \,d^{2}}{5 \left(e x +d \right)^{5} e^{3}}-\frac{3 A a \,c^{2} d^{4}}{5 \left(e x +d \right)^{5} e^{5}}-\frac{A \,c^{3} d^{6}}{5 \left(e x +d \right)^{5} e^{7}}+\frac{B \,a^{3} d}{5 \left(e x +d \right)^{5} e^{2}}+\frac{3 B \,a^{2} c \,d^{3}}{5 \left(e x +d \right)^{5} e^{4}}+\frac{3 B a \,c^{2} d^{5}}{5 \left(e x +d \right)^{5} e^{6}}+\frac{B \,c^{3} d^{7}}{5 \left(e x +d \right)^{5} e^{8}}+\frac{3 A \,a^{2} c d}{2 \left(e x +d \right)^{4} e^{3}}+\frac{3 A a \,c^{2} d^{3}}{\left(e x +d \right)^{4} e^{5}}+\frac{3 A \,c^{3} d^{5}}{2 \left(e x +d \right)^{4} e^{7}}-\frac{B \,a^{3}}{4 \left(e x +d \right)^{4} e^{2}}-\frac{9 B \,a^{2} c \,d^{2}}{4 \left(e x +d \right)^{4} e^{4}}-\frac{15 B a \,c^{2} d^{4}}{4 \left(e x +d \right)^{4} e^{6}}-\frac{7 B \,c^{3} d^{6}}{4 \left(e x +d \right)^{4} e^{8}}-\frac{A \,a^{2} c}{\left(e x +d \right)^{3} e^{3}}-\frac{6 A a \,c^{2} d^{2}}{\left(e x +d \right)^{3} e^{5}}-\frac{5 A \,c^{3} d^{4}}{\left(e x +d \right)^{3} e^{7}}+\frac{3 B \,a^{2} c d}{\left(e x +d \right)^{3} e^{4}}+\frac{10 B a \,c^{2} d^{3}}{\left(e x +d \right)^{3} e^{6}}+\frac{7 B \,c^{3} d^{5}}{\left(e x +d \right)^{3} e^{8}}+\frac{6 A a \,c^{2} d}{\left(e x +d \right)^{2} e^{5}}+\frac{10 A \,c^{3} d^{3}}{\left(e x +d \right)^{2} e^{7}}-\frac{3 B \,a^{2} c}{2 \left(e x +d \right)^{2} e^{4}}-\frac{15 B a \,c^{2} d^{2}}{\left(e x +d \right)^{2} e^{6}}-\frac{35 B \,c^{3} d^{4}}{2 \left(e x +d \right)^{2} e^{8}}+\frac{B \,c^{3} x^{2}}{2 e^{6}}-\frac{3 A a \,c^{2}}{\left(e x +d \right) e^{5}}-\frac{15 A \,c^{3} d^{2}}{\left(e x +d \right) e^{7}}-\frac{6 A \,c^{3} d \ln \left(e x +d \right)}{e^{7}}+\frac{A \,c^{3} x}{e^{6}}+\frac{15 B a \,c^{2} d}{\left(e x +d \right) e^{6}}+\frac{3 B a \,c^{2} \ln \left(e x +d \right)}{e^{6}}+\frac{35 B \,c^{3} d^{3}}{\left(e x +d \right) e^{8}}+\frac{21 B \,c^{3} d^{2} \ln \left(e x +d \right)}{e^{8}}-\frac{6 B \,c^{3} d x}{e^{7}}"," ",0,"-1/5/e/(e*x+d)^5*A*a^3+c^3/e^6*A*x-1/4/e^2/(e*x+d)^4*B*a^3+15*c^2/e^6/(e*x+d)*a*B*d+3/2/e^3/(e*x+d)^4*A*a^2*c*d-1/5/e^7/(e*x+d)^5*A*c^3*d^6+1/5/e^2/(e*x+d)^5*B*d*a^3-6*c^3/e^7*B*d*x+21*c^3/e^8*ln(e*x+d)*B*d^2-6*c^2/e^5/(e*x+d)^3*A*d^2*a+3*c/e^4/(e*x+d)^3*B*a^2*d+10*c^2/e^6/(e*x+d)^3*B*d^3*a-3/5/e^3/(e*x+d)^5*A*d^2*a^2*c-3/5/e^5/(e*x+d)^5*A*d^4*a*c^2+3/5/e^4/(e*x+d)^5*B*d^3*a^2*c+3/5/e^6/(e*x+d)^5*B*d^5*a*c^2-15*c^2/e^6/(e*x+d)^2*B*d^2*a-15*c^3/e^7/(e*x+d)*A*d^2+10*c^3/e^7/(e*x+d)^2*A*d^3-3/2*c/e^4/(e*x+d)^2*B*a^2-35/2*c^3/e^8/(e*x+d)^2*B*d^4+1/2*B*c^3*x^2/e^6+1/5/e^8/(e*x+d)^5*B*c^3*d^7-6*c^3/e^7*ln(e*x+d)*A*d+3*c^2/e^6*ln(e*x+d)*B*a-c/e^3/(e*x+d)^3*A*a^2-5*c^3/e^7/(e*x+d)^3*A*d^4+7*c^3/e^8/(e*x+d)^3*B*d^5+35*c^3/e^8/(e*x+d)*B*d^3+3/2/e^7/(e*x+d)^4*A*c^3*d^5-7/4/e^8/(e*x+d)^4*B*c^3*d^6-3*c^2/e^5/(e*x+d)*a*A+3/e^5/(e*x+d)^4*A*a*c^2*d^3-9/4/e^4/(e*x+d)^4*B*a^2*c*d^2-15/4/e^6/(e*x+d)^4*B*a*c^2*d^4+6*c^2/e^5/(e*x+d)^2*A*d*a","B"
1325,1,656,310,0.062000," ","int((B*x+A)*(c*x^2+a)^3/(e*x+d)^7,x)","-\frac{A \,a^{3}}{6 \left(e x +d \right)^{6} e}-\frac{A \,a^{2} c \,d^{2}}{2 \left(e x +d \right)^{6} e^{3}}-\frac{A a \,c^{2} d^{4}}{2 \left(e x +d \right)^{6} e^{5}}-\frac{A \,c^{3} d^{6}}{6 \left(e x +d \right)^{6} e^{7}}+\frac{B \,a^{3} d}{6 \left(e x +d \right)^{6} e^{2}}+\frac{B \,a^{2} c \,d^{3}}{2 \left(e x +d \right)^{6} e^{4}}+\frac{B a \,c^{2} d^{5}}{2 \left(e x +d \right)^{6} e^{6}}+\frac{B \,c^{3} d^{7}}{6 \left(e x +d \right)^{6} e^{8}}+\frac{6 A \,a^{2} c d}{5 \left(e x +d \right)^{5} e^{3}}+\frac{12 A a \,c^{2} d^{3}}{5 \left(e x +d \right)^{5} e^{5}}+\frac{6 A \,c^{3} d^{5}}{5 \left(e x +d \right)^{5} e^{7}}-\frac{B \,a^{3}}{5 \left(e x +d \right)^{5} e^{2}}-\frac{9 B \,a^{2} c \,d^{2}}{5 \left(e x +d \right)^{5} e^{4}}-\frac{3 B a \,c^{2} d^{4}}{\left(e x +d \right)^{5} e^{6}}-\frac{7 B \,c^{3} d^{6}}{5 \left(e x +d \right)^{5} e^{8}}-\frac{3 A \,a^{2} c}{4 \left(e x +d \right)^{4} e^{3}}-\frac{9 A a \,c^{2} d^{2}}{2 \left(e x +d \right)^{4} e^{5}}-\frac{15 A \,c^{3} d^{4}}{4 \left(e x +d \right)^{4} e^{7}}+\frac{9 B \,a^{2} c d}{4 \left(e x +d \right)^{4} e^{4}}+\frac{15 B a \,c^{2} d^{3}}{2 \left(e x +d \right)^{4} e^{6}}+\frac{21 B \,c^{3} d^{5}}{4 \left(e x +d \right)^{4} e^{8}}+\frac{4 A a \,c^{2} d}{\left(e x +d \right)^{3} e^{5}}+\frac{20 A \,c^{3} d^{3}}{3 \left(e x +d \right)^{3} e^{7}}-\frac{B \,a^{2} c}{\left(e x +d \right)^{3} e^{4}}-\frac{10 B a \,c^{2} d^{2}}{\left(e x +d \right)^{3} e^{6}}-\frac{35 B \,c^{3} d^{4}}{3 \left(e x +d \right)^{3} e^{8}}-\frac{3 A a \,c^{2}}{2 \left(e x +d \right)^{2} e^{5}}-\frac{15 A \,c^{3} d^{2}}{2 \left(e x +d \right)^{2} e^{7}}+\frac{15 B a \,c^{2} d}{2 \left(e x +d \right)^{2} e^{6}}+\frac{35 B \,c^{3} d^{3}}{2 \left(e x +d \right)^{2} e^{8}}+\frac{6 A \,c^{3} d}{\left(e x +d \right) e^{7}}+\frac{A \,c^{3} \ln \left(e x +d \right)}{e^{7}}-\frac{3 B a \,c^{2}}{\left(e x +d \right) e^{6}}-\frac{21 B \,c^{3} d^{2}}{\left(e x +d \right) e^{8}}-\frac{7 B \,c^{3} d \ln \left(e x +d \right)}{e^{8}}+\frac{B \,c^{3} x}{e^{7}}"," ",0,"-9/2*c^2/e^5/(e*x+d)^4*A*d^2*a+9/4*c/e^4/(e*x+d)^4*B*a^2*d+6/5/e^3/(e*x+d)^5*A*a^2*c*d+12/5/e^5/(e*x+d)^5*A*a*c^2*d^3-9/5/e^4/(e*x+d)^5*B*a^2*c*d^2-3/e^6/(e*x+d)^5*B*a*c^2*d^4+1/2/e^6/(e*x+d)^6*B*d^5*a*c^2-10*c^2/e^6/(e*x+d)^3*B*d^2*a+4*c^2/e^5/(e*x+d)^3*A*d*a-1/6/e/(e*x+d)^6*A*a^3-1/5/e^2/(e*x+d)^5*B*a^3+c^3/e^7*ln(e*x+d)*A+15/2*c^2/e^6/(e*x+d)^4*B*d^3*a+15/2*c^2/e^6/(e*x+d)^2*a*B*d-1/2/e^3/(e*x+d)^6*A*d^2*a^2*c-1/2/e^5/(e*x+d)^6*A*d^4*a*c^2+1/2/e^4/(e*x+d)^6*B*d^3*a^2*c+35/2*c^3/e^8/(e*x+d)^2*B*d^3-7*c^3/e^8*ln(e*x+d)*B*d+20/3*c^3/e^7/(e*x+d)^3*A*d^3+6*c^3/e^7/(e*x+d)*A*d-3*c^2/e^6/(e*x+d)*B*a-c/e^4/(e*x+d)^3*B*a^2-35/3*c^3/e^8/(e*x+d)^3*B*d^4-3/4*c/e^3/(e*x+d)^4*A*a^2-15/4*c^3/e^7/(e*x+d)^4*A*d^4+21/4*c^3/e^8/(e*x+d)^4*B*d^5-1/6/e^7/(e*x+d)^6*A*d^6*c^3+1/6/e^2/(e*x+d)^6*B*d*a^3+1/6/e^8/(e*x+d)^6*B*c^3*d^7-21*c^3/e^8/(e*x+d)*B*d^2-3/2*c^2/e^5/(e*x+d)^2*a*A-15/2*c^3/e^7/(e*x+d)^2*A*d^2+6/5/e^7/(e*x+d)^5*A*c^3*d^5-7/5/e^8/(e*x+d)^5*B*c^3*d^6+B*c^3*x/e^7","B"
1326,1,662,315,0.055000," ","int((B*x+A)*(c*x^2+a)^3/(e*x+d)^8,x)","-\frac{A \,a^{3}}{7 \left(e x +d \right)^{7} e}-\frac{3 A \,a^{2} c \,d^{2}}{7 \left(e x +d \right)^{7} e^{3}}-\frac{3 A a \,c^{2} d^{4}}{7 \left(e x +d \right)^{7} e^{5}}-\frac{A \,c^{3} d^{6}}{7 \left(e x +d \right)^{7} e^{7}}+\frac{B \,a^{3} d}{7 \left(e x +d \right)^{7} e^{2}}+\frac{3 B \,a^{2} c \,d^{3}}{7 \left(e x +d \right)^{7} e^{4}}+\frac{3 B a \,c^{2} d^{5}}{7 \left(e x +d \right)^{7} e^{6}}+\frac{B \,c^{3} d^{7}}{7 \left(e x +d \right)^{7} e^{8}}+\frac{A \,a^{2} c d}{\left(e x +d \right)^{6} e^{3}}+\frac{2 A a \,c^{2} d^{3}}{\left(e x +d \right)^{6} e^{5}}+\frac{A \,c^{3} d^{5}}{\left(e x +d \right)^{6} e^{7}}-\frac{B \,a^{3}}{6 \left(e x +d \right)^{6} e^{2}}-\frac{3 B \,a^{2} c \,d^{2}}{2 \left(e x +d \right)^{6} e^{4}}-\frac{5 B a \,c^{2} d^{4}}{2 \left(e x +d \right)^{6} e^{6}}-\frac{7 B \,c^{3} d^{6}}{6 \left(e x +d \right)^{6} e^{8}}-\frac{3 A \,a^{2} c}{5 \left(e x +d \right)^{5} e^{3}}-\frac{18 A a \,c^{2} d^{2}}{5 \left(e x +d \right)^{5} e^{5}}-\frac{3 A \,c^{3} d^{4}}{\left(e x +d \right)^{5} e^{7}}+\frac{9 B \,a^{2} c d}{5 \left(e x +d \right)^{5} e^{4}}+\frac{6 B a \,c^{2} d^{3}}{\left(e x +d \right)^{5} e^{6}}+\frac{21 B \,c^{3} d^{5}}{5 \left(e x +d \right)^{5} e^{8}}+\frac{3 A a \,c^{2} d}{\left(e x +d \right)^{4} e^{5}}+\frac{5 A \,c^{3} d^{3}}{\left(e x +d \right)^{4} e^{7}}-\frac{3 B \,a^{2} c}{4 \left(e x +d \right)^{4} e^{4}}-\frac{15 B a \,c^{2} d^{2}}{2 \left(e x +d \right)^{4} e^{6}}-\frac{35 B \,c^{3} d^{4}}{4 \left(e x +d \right)^{4} e^{8}}-\frac{A a \,c^{2}}{\left(e x +d \right)^{3} e^{5}}-\frac{5 A \,c^{3} d^{2}}{\left(e x +d \right)^{3} e^{7}}+\frac{5 B a \,c^{2} d}{\left(e x +d \right)^{3} e^{6}}+\frac{35 B \,c^{3} d^{3}}{3 \left(e x +d \right)^{3} e^{8}}+\frac{3 A \,c^{3} d}{\left(e x +d \right)^{2} e^{7}}-\frac{3 B a \,c^{2}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{21 B \,c^{3} d^{2}}{2 \left(e x +d \right)^{2} e^{8}}-\frac{A \,c^{3}}{\left(e x +d \right) e^{7}}+\frac{7 B \,c^{3} d}{\left(e x +d \right) e^{8}}+\frac{B \,c^{3} \ln \left(e x +d \right)}{e^{8}}"," ",0,"9/5*c/e^4/(e*x+d)^5*B*a^2*d-18/5*c^2/e^5/(e*x+d)^5*A*d^2*a+3*c^2/e^5/(e*x+d)^4*A*d*a+6*c^2/e^6/(e*x+d)^5*B*d^3*a+5*c^2/e^6/(e*x+d)^3*a*B*d-15/2*c^2/e^6/(e*x+d)^4*B*d^2*a-3/2/e^4/(e*x+d)^6*B*d^2*a^2*c-5/2/e^6/(e*x+d)^6*B*d^4*a*c^2-3/7/e^3/(e*x+d)^7*A*d^2*a^2*c-3/7/e^5/(e*x+d)^7*A*a*c^2*d^4+1/e^3/(e*x+d)^6*A*d*a^2*c+2/e^5/(e*x+d)^6*A*d^3*a*c^2+3/7/e^6/(e*x+d)^7*B*d^5*a*c^2+5*c^3/e^7/(e*x+d)^4*A*d^3-1/6/e^2/(e*x+d)^6*B*a^3-1/7/e/(e*x+d)^7*A*a^3-c^3/e^7/(e*x+d)*A-1/7/e^7/(e*x+d)^7*A*d^6*c^3+1/7/e^2/(e*x+d)^7*B*d*a^3+1/7/e^8/(e*x+d)^7*B*c^3*d^7+1/e^7/(e*x+d)^6*A*c^3*d^5+3*c^3/e^7/(e*x+d)^2*A*d-7/6/e^8/(e*x+d)^6*B*d^6*c^3-3/5*c/e^3/(e*x+d)^5*A*a^2-3*c^3/e^7/(e*x+d)^5*A*d^4+21/5*c^3/e^8/(e*x+d)^5*B*d^5+3/7/e^4/(e*x+d)^7*B*d^3*a^2*c-c^2/e^5/(e*x+d)^3*a*A-5*c^3/e^7/(e*x+d)^3*A*d^2+35/3*c^3/e^8/(e*x+d)^3*B*d^3+7*c^3/e^8/(e*x+d)*B*d-3/4*c/e^4/(e*x+d)^4*B*a^2-35/4*c^3/e^8/(e*x+d)^4*B*d^4-21/2*c^3/e^8/(e*x+d)^2*B*d^2-3/2*c^2/e^6/(e*x+d)^2*B*a+B*c^3*ln(e*x+d)/e^8","B"
1327,1,448,318,0.053000," ","int((B*x+A)*(c*x^2+a)^3/(e*x+d)^9,x)","-\frac{B \,c^{3}}{\left(e x +d \right) e^{8}}-\frac{\left(A e -7 B d \right) c^{3}}{2 \left(e x +d \right)^{2} e^{8}}-\frac{\left(3 a A \,e^{3}+15 A c \,d^{2} e -15 a B d \,e^{2}-35 B c \,d^{3}\right) c^{2}}{4 \left(e x +d \right)^{4} e^{8}}+\frac{\left(2 A c d e -B a \,e^{2}-7 B c \,d^{2}\right) c^{2}}{\left(e x +d \right)^{3} e^{8}}-\frac{\left(A \,a^{2} e^{5}+6 A \,d^{2} a c \,e^{3}+5 A \,c^{2} d^{4} e -3 B \,a^{2} d \,e^{4}-10 B \,d^{3} a c \,e^{2}-7 B \,c^{2} d^{5}\right) c}{2 \left(e x +d \right)^{6} e^{8}}+\frac{\left(12 A d a c \,e^{3}+20 A \,c^{2} d^{3} e -3 B \,a^{2} e^{4}-30 B \,d^{2} a c \,e^{2}-35 B \,c^{2} d^{4}\right) c}{5 \left(e x +d \right)^{5} e^{8}}-\frac{A \,a^{3} e^{7}+3 A \,d^{2} a^{2} c \,e^{5}+3 A a \,c^{2} d^{4} e^{3}+A \,d^{6} c^{3} e -B d \,a^{3} e^{6}-3 B \,d^{3} a^{2} c \,e^{4}-3 B \,d^{5} a \,c^{2} e^{2}-B \,d^{7} c^{3}}{8 \left(e x +d \right)^{8} e^{8}}-\frac{-6 A d \,a^{2} c \,e^{5}-12 A \,d^{3} a \,c^{2} e^{3}-6 A \,c^{3} d^{5} e +B \,a^{3} e^{6}+9 B \,d^{2} a^{2} c \,e^{4}+15 B \,d^{4} a \,c^{2} e^{2}+7 B \,d^{6} c^{3}}{7 \left(e x +d \right)^{7} e^{8}}"," ",0,"-B*c^3/e^8/(e*x+d)-1/4*c^2*(3*A*a*e^3+15*A*c*d^2*e-15*B*a*d*e^2-35*B*c*d^3)/e^8/(e*x+d)^4-1/2*c^3*(A*e-7*B*d)/e^8/(e*x+d)^2+c^2*(2*A*c*d*e-B*a*e^2-7*B*c*d^2)/e^8/(e*x+d)^3-1/8*(A*a^3*e^7+3*A*a^2*c*d^2*e^5+3*A*a*c^2*d^4*e^3+A*c^3*d^6*e-B*a^3*d*e^6-3*B*a^2*c*d^3*e^4-3*B*a*c^2*d^5*e^2-B*c^3*d^7)/e^8/(e*x+d)^8-1/7*(-6*A*a^2*c*d*e^5-12*A*a*c^2*d^3*e^3-6*A*c^3*d^5*e+B*a^3*e^6+9*B*a^2*c*d^2*e^4+15*B*a*c^2*d^4*e^2+7*B*c^3*d^6)/e^8/(e*x+d)^7-1/2*c*(A*a^2*e^5+6*A*a*c*d^2*e^3+5*A*c^2*d^4*e-3*B*a^2*d*e^4-10*B*a*c*d^3*e^2-7*B*c^2*d^5)/e^8/(e*x+d)^6+1/5*c*(12*A*a*c*d*e^3+20*A*c^2*d^3*e-3*B*a^2*e^4-30*B*a*c*d^2*e^2-35*B*c^2*d^4)/e^8/(e*x+d)^5","A"
1328,1,449,318,0.051000," ","int((B*x+A)*(c*x^2+a)^3/(e*x+d)^10,x)","-\frac{B \,c^{3}}{2 \left(e x +d \right)^{2} e^{8}}-\frac{\left(A e -7 B d \right) c^{3}}{3 \left(e x +d \right)^{3} e^{8}}+\frac{3 \left(2 A c d e -B a \,e^{2}-7 B c \,d^{2}\right) c^{2}}{4 \left(e x +d \right)^{4} e^{8}}-\frac{\left(3 a A \,e^{3}+15 A c \,d^{2} e -15 a B d \,e^{2}-35 B c \,d^{3}\right) c^{2}}{5 \left(e x +d \right)^{5} e^{8}}-\frac{3 \left(A \,a^{2} e^{5}+6 A \,d^{2} a c \,e^{3}+5 A \,c^{2} d^{4} e -3 B \,a^{2} d \,e^{4}-10 B \,d^{3} a c \,e^{2}-7 B \,c^{2} d^{5}\right) c}{7 \left(e x +d \right)^{7} e^{8}}+\frac{\left(12 A d a c \,e^{3}+20 A \,c^{2} d^{3} e -3 B \,a^{2} e^{4}-30 B \,d^{2} a c \,e^{2}-35 B \,c^{2} d^{4}\right) c}{6 \left(e x +d \right)^{6} e^{8}}-\frac{A \,a^{3} e^{7}+3 A \,d^{2} a^{2} c \,e^{5}+3 A a \,c^{2} d^{4} e^{3}+A \,d^{6} c^{3} e -B d \,a^{3} e^{6}-3 B \,d^{3} a^{2} c \,e^{4}-3 B \,d^{5} a \,c^{2} e^{2}-B \,d^{7} c^{3}}{9 \left(e x +d \right)^{9} e^{8}}-\frac{-6 A d \,a^{2} c \,e^{5}-12 A \,d^{3} a \,c^{2} e^{3}-6 A \,c^{3} d^{5} e +B \,a^{3} e^{6}+9 B \,d^{2} a^{2} c \,e^{4}+15 B \,d^{4} a \,c^{2} e^{2}+7 B \,d^{6} c^{3}}{8 \left(e x +d \right)^{8} e^{8}}"," ",0,"-1/9*(A*a^3*e^7+3*A*a^2*c*d^2*e^5+3*A*a*c^2*d^4*e^3+A*c^3*d^6*e-B*a^3*d*e^6-3*B*a^2*c*d^3*e^4-3*B*a*c^2*d^5*e^2-B*c^3*d^7)/e^8/(e*x+d)^9+3/4*c^2*(2*A*c*d*e-B*a*e^2-7*B*c*d^2)/e^8/(e*x+d)^4-1/2*B*c^3/e^8/(e*x+d)^2-1/3*c^3*(A*e-7*B*d)/e^8/(e*x+d)^3-1/8*(-6*A*a^2*c*d*e^5-12*A*a*c^2*d^3*e^3-6*A*c^3*d^5*e+B*a^3*e^6+9*B*a^2*c*d^2*e^4+15*B*a*c^2*d^4*e^2+7*B*c^3*d^6)/e^8/(e*x+d)^8-3/7*c*(A*a^2*e^5+6*A*a*c*d^2*e^3+5*A*c^2*d^4*e-3*B*a^2*d*e^4-10*B*a*c*d^3*e^2-7*B*c^2*d^5)/e^8/(e*x+d)^7+1/6*c*(12*A*a*c*d*e^3+20*A*c^2*d^3*e-3*B*a^2*e^4-30*B*a*c*d^2*e^2-35*B*c^2*d^4)/e^8/(e*x+d)^6-1/5*c^2*(3*A*a*e^3+15*A*c*d^2*e-15*B*a*d*e^2-35*B*c*d^3)/e^8/(e*x+d)^5","A"
1329,1,449,318,0.049000," ","int((B*x+A)*(c*x^2+a)^3/(e*x+d)^11,x)","-\frac{B \,c^{3}}{3 \left(e x +d \right)^{3} e^{8}}-\frac{\left(A e -7 B d \right) c^{3}}{4 \left(e x +d \right)^{4} e^{8}}-\frac{\left(3 a A \,e^{3}+15 A c \,d^{2} e -15 a B d \,e^{2}-35 B c \,d^{3}\right) c^{2}}{6 \left(e x +d \right)^{6} e^{8}}+\frac{3 \left(2 A c d e -B a \,e^{2}-7 B c \,d^{2}\right) c^{2}}{5 \left(e x +d \right)^{5} e^{8}}-\frac{3 \left(A \,a^{2} e^{5}+6 A \,d^{2} a c \,e^{3}+5 A \,c^{2} d^{4} e -3 B \,a^{2} d \,e^{4}-10 B \,d^{3} a c \,e^{2}-7 B \,c^{2} d^{5}\right) c}{8 \left(e x +d \right)^{8} e^{8}}+\frac{\left(12 A d a c \,e^{3}+20 A \,c^{2} d^{3} e -3 B \,a^{2} e^{4}-30 B \,d^{2} a c \,e^{2}-35 B \,c^{2} d^{4}\right) c}{7 \left(e x +d \right)^{7} e^{8}}-\frac{-6 A d \,a^{2} c \,e^{5}-12 A \,d^{3} a \,c^{2} e^{3}-6 A \,c^{3} d^{5} e +B \,a^{3} e^{6}+9 B \,d^{2} a^{2} c \,e^{4}+15 B \,d^{4} a \,c^{2} e^{2}+7 B \,d^{6} c^{3}}{9 \left(e x +d \right)^{9} e^{8}}-\frac{A \,a^{3} e^{7}+3 A \,d^{2} a^{2} c \,e^{5}+3 A a \,c^{2} d^{4} e^{3}+A \,d^{6} c^{3} e -B d \,a^{3} e^{6}-3 B \,d^{3} a^{2} c \,e^{4}-3 B \,d^{5} a \,c^{2} e^{2}-B \,d^{7} c^{3}}{10 \left(e x +d \right)^{10} e^{8}}"," ",0,"-1/9*(-6*A*a^2*c*d*e^5-12*A*a*c^2*d^3*e^3-6*A*c^3*d^5*e+B*a^3*e^6+9*B*a^2*c*d^2*e^4+15*B*a*c^2*d^4*e^2+7*B*c^3*d^6)/e^8/(e*x+d)^9-1/4*c^3*(A*e-7*B*d)/e^8/(e*x+d)^4-1/3*B*c^3/e^8/(e*x+d)^3-3/8*c*(A*a^2*e^5+6*A*a*c*d^2*e^3+5*A*c^2*d^4*e-3*B*a^2*d*e^4-10*B*a*c*d^3*e^2-7*B*c^2*d^5)/e^8/(e*x+d)^8+1/7*c*(12*A*a*c*d*e^3+20*A*c^2*d^3*e-3*B*a^2*e^4-30*B*a*c*d^2*e^2-35*B*c^2*d^4)/e^8/(e*x+d)^7-1/10*(A*a^3*e^7+3*A*a^2*c*d^2*e^5+3*A*a*c^2*d^4*e^3+A*c^3*d^6*e-B*a^3*d*e^6-3*B*a^2*c*d^3*e^4-3*B*a*c^2*d^5*e^2-B*c^3*d^7)/e^8/(e*x+d)^10-1/6*c^2*(3*A*a*e^3+15*A*c*d^2*e-15*B*a*d*e^2-35*B*c*d^3)/e^8/(e*x+d)^6+3/5*c^2*(2*A*c*d*e-B*a*e^2-7*B*c*d^2)/e^8/(e*x+d)^5","A"
1330,1,345,224,0.046000," ","int((B*x+A)*(e*x+d)^4/(c*x^2+a),x)","\frac{B \,e^{4} x^{4}}{4 c}+\frac{A \,e^{4} x^{3}}{3 c}+\frac{4 B d \,e^{3} x^{3}}{3 c}+\frac{A \,a^{2} e^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c^{2}}-\frac{6 A a \,d^{2} e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c}+\frac{2 A d \,e^{3} x^{2}}{c}+\frac{A \,d^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}}+\frac{4 B \,a^{2} d \,e^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c^{2}}-\frac{4 B a \,d^{3} e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c}-\frac{B a \,e^{4} x^{2}}{2 c^{2}}+\frac{3 B \,d^{2} e^{2} x^{2}}{c}-\frac{2 A a d \,e^{3} \ln \left(c \,x^{2}+a \right)}{c^{2}}-\frac{A a \,e^{4} x}{c^{2}}+\frac{2 A \,d^{3} e \ln \left(c \,x^{2}+a \right)}{c}+\frac{6 A \,d^{2} e^{2} x}{c}+\frac{B \,a^{2} e^{4} \ln \left(c \,x^{2}+a \right)}{2 c^{3}}-\frac{3 B a \,d^{2} e^{2} \ln \left(c \,x^{2}+a \right)}{c^{2}}-\frac{4 B a d \,e^{3} x}{c^{2}}+\frac{B \,d^{4} \ln \left(c \,x^{2}+a \right)}{2 c}+\frac{4 B \,d^{3} e x}{c}"," ",0,"1/4*B/c*e^4*x^4+1/3/c*e^4*A*x^3+4/3/c*e^3*B*x^3*d+2/c*e^3*A*x^2*d-1/2/c^2*e^4*B*x^2*a+3/c*e^2*B*x^2*d^2-1/c^2*e^4*a*A*x+6/c*e^2*A*d^2*x-4/c^2*e^3*a*B*d*x+4/c*e*B*d^3*x-2/c^2*ln(c*x^2+a)*A*d*a*e^3+2/c*ln(c*x^2+a)*A*d^3*e+1/2/c^3*ln(c*x^2+a)*B*a^2*e^4-3/c^2*ln(c*x^2+a)*B*d^2*a*e^2+1/2/c*ln(c*x^2+a)*B*d^4+1/c^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*a^2*e^4-6/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*a*d^2*e^2+1/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^4+4/c^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*a^2*d*e^3-4/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*a*d^3*e","A"
1331,1,238,153,0.051000," ","int((B*x+A)*(e*x+d)^3/(c*x^2+a),x)","\frac{B \,e^{3} x^{3}}{3 c}-\frac{3 A a d \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c}+\frac{A \,e^{3} x^{2}}{2 c}+\frac{A \,d^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}}+\frac{B \,a^{2} e^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c^{2}}-\frac{3 B a \,d^{2} e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c}+\frac{3 B d \,e^{2} x^{2}}{2 c}-\frac{A a \,e^{3} \ln \left(c \,x^{2}+a \right)}{2 c^{2}}+\frac{3 A \,d^{2} e \ln \left(c \,x^{2}+a \right)}{2 c}+\frac{3 A d \,e^{2} x}{c}-\frac{3 B a d \,e^{2} \ln \left(c \,x^{2}+a \right)}{2 c^{2}}-\frac{B a \,e^{3} x}{c^{2}}+\frac{B \,d^{3} \ln \left(c \,x^{2}+a \right)}{2 c}+\frac{3 B \,d^{2} e x}{c}"," ",0,"1/3*B/c*e^3*x^3+1/2/c*e^3*A*x^2+3/2/c*e^2*B*x^2*d+3/c*e^2*A*x*d-1/c^2*e^3*B*x*a+3/c*e*B*x*d^2-1/2/c^2*ln(c*x^2+a)*A*a*e^3+3/2/c*ln(c*x^2+a)*A*d^2*e-3/2/c^2*ln(c*x^2+a)*B*a*d*e^2+1/2/c*ln(c*x^2+a)*B*d^3-3/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*a*d*e^2+1/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^3+1/c^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*a^2*e^3-3/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*a*d^2*e","A"
1332,1,148,96,0.054000," ","int((B*x+A)*(e*x+d)^2/(c*x^2+a),x)","-\frac{A a \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c}+\frac{A \,d^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}}-\frac{2 B a d e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c}+\frac{B \,e^{2} x^{2}}{2 c}+\frac{A d e \ln \left(c \,x^{2}+a \right)}{c}+\frac{A \,e^{2} x}{c}-\frac{B a \,e^{2} \ln \left(c \,x^{2}+a \right)}{2 c^{2}}+\frac{B \,d^{2} \ln \left(c \,x^{2}+a \right)}{2 c}+\frac{2 B d e x}{c}"," ",0,"1/2*B/c*e^2*x^2+1/c*e^2*A*x+2/c*e*B*d*x+1/c*ln(c*x^2+a)*A*d*e-1/2/c^2*ln(c*x^2+a)*B*a*e^2+1/2/c*ln(c*x^2+a)*B*d^2-1/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*a*e^2+1/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^2-2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*a*B*d*e","A"
1333,1,78,54,0.050000," ","int((B*x+A)*(e*x+d)/(c*x^2+a),x)","\frac{A d \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}}-\frac{B a e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c}+\frac{A e \ln \left(c \,x^{2}+a \right)}{2 c}+\frac{B d \ln \left(c \,x^{2}+a \right)}{2 c}+\frac{B e x}{c}"," ",0,"B/c*e*x+1/2/c*ln(c*x^2+a)*A*e+1/2/c*ln(c*x^2+a)*B*d+1/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d-1/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*a*B*e","A"
1334,1,32,32,0.058000," ","int((B*x+A)/(c*x^2+a),x)","\frac{A \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}}+\frac{B \ln \left(c \,x^{2}+a \right)}{2 c}"," ",0,"1/2*B*ln(c*x^2+a)/c+A/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)","A"
1335,1,159,99,0.055000," ","int((B*x+A)/(e*x+d)/(c*x^2+a),x)","\frac{A c d \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right) \sqrt{a c}}+\frac{B a e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right) \sqrt{a c}}-\frac{A e \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)}+\frac{A e \ln \left(e x +d \right)}{a \,e^{2}+c \,d^{2}}+\frac{B d \ln \left(c \,x^{2}+a \right)}{2 a \,e^{2}+2 c \,d^{2}}-\frac{B d \ln \left(e x +d \right)}{a \,e^{2}+c \,d^{2}}"," ",0,"-1/2/(a*e^2+c*d^2)*ln(c*x^2+a)*A*e+1/2/(a*e^2+c*d^2)*ln(c*x^2+a)*B*d+1/(a*e^2+c*d^2)/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*c*d+1/(a*e^2+c*d^2)/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*a*B*e+1/(a*e^2+c*d^2)*ln(e*x+d)*A*e-1/(a*e^2+c*d^2)*ln(e*x+d)*B*d","A"
1336,1,312,163,0.053000," ","int((B*x+A)/(e*x+d)^2/(c*x^2+a),x)","-\frac{A a c \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{2} \sqrt{a c}}+\frac{A \,c^{2} d^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{2} \sqrt{a c}}+\frac{2 B a c d e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{2} \sqrt{a c}}-\frac{A c d e \ln \left(c \,x^{2}+a \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{2}}+\frac{2 A c d e \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{2}}-\frac{B a \,e^{2} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2}}+\frac{B a \,e^{2} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{2}}+\frac{B c \,d^{2} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2}}-\frac{B c \,d^{2} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{2}}-\frac{A e}{\left(a \,e^{2}+c \,d^{2}\right) \left(e x +d \right)}+\frac{B d}{\left(a \,e^{2}+c \,d^{2}\right) \left(e x +d \right)}"," ",0,"-c/(a*e^2+c*d^2)^2*ln(c*x^2+a)*A*d*e-1/2/(a*e^2+c*d^2)^2*ln(c*x^2+a)*B*a*e^2+1/2*c/(a*e^2+c*d^2)^2*ln(c*x^2+a)*B*d^2-c/(a*e^2+c*d^2)^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*a*e^2+c^2/(a*e^2+c*d^2)^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^2+2*c/(a*e^2+c*d^2)^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*a*B*d*e-1/(a*e^2+c*d^2)/(e*x+d)*A*e+1/(a*e^2+c*d^2)/(e*x+d)*B*d+2/(a*e^2+c*d^2)^2*ln(e*x+d)*A*c*d*e+1/(a*e^2+c*d^2)^2*ln(e*x+d)*B*a*e^2-1/(a*e^2+c*d^2)^2*ln(e*x+d)*B*c*d^2","A"
1337,1,509,239,0.061000," ","int((B*x+A)/(e*x+d)^3/(c*x^2+a),x)","-\frac{3 A a \,c^{2} d \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}+\frac{A \,c^{3} d^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}-\frac{B \,a^{2} c \,e^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}+\frac{3 B a \,c^{2} d^{2} e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}+\frac{A a c \,e^{3} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3}}-\frac{A a c \,e^{3} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}-\frac{3 A \,c^{2} d^{2} e \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3}}+\frac{3 A \,c^{2} d^{2} e \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}-\frac{3 B a c d \,e^{2} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3}}+\frac{3 B a c d \,e^{2} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}+\frac{B \,c^{2} d^{3} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3}}-\frac{B \,c^{2} d^{3} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}-\frac{2 A c d e}{\left(a \,e^{2}+c \,d^{2}\right)^{2} \left(e x +d \right)}-\frac{B a \,e^{2}}{\left(a \,e^{2}+c \,d^{2}\right)^{2} \left(e x +d \right)}+\frac{B c \,d^{2}}{\left(a \,e^{2}+c \,d^{2}\right)^{2} \left(e x +d \right)}-\frac{A e}{2 \left(a \,e^{2}+c \,d^{2}\right) \left(e x +d \right)^{2}}+\frac{B d}{2 \left(a \,e^{2}+c \,d^{2}\right) \left(e x +d \right)^{2}}"," ",0,"1/2*c/(a*e^2+c*d^2)^3*ln(c*x^2+a)*a*A*e^3-3/2*c^2/(a*e^2+c*d^2)^3*ln(c*x^2+a)*A*d^2*e-3/2*c/(a*e^2+c*d^2)^3*ln(c*x^2+a)*a*B*d*e^2+1/2*c^2/(a*e^2+c*d^2)^3*ln(c*x^2+a)*B*d^3-3*c^2/(a*e^2+c*d^2)^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*a*d*e^2+c^3/(a*e^2+c*d^2)^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^3-c/(a*e^2+c*d^2)^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*a^2*e^3+3*c^2/(a*e^2+c*d^2)^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*a*d^2*e-1/2/(a*e^2+c*d^2)/(e*x+d)^2*A*e+1/2/(a*e^2+c*d^2)/(e*x+d)^2*B*d-2/(a*e^2+c*d^2)^2/(e*x+d)*A*c*d*e-1/(a*e^2+c*d^2)^2/(e*x+d)*B*a*e^2+1/(a*e^2+c*d^2)^2/(e*x+d)*B*c*d^2-c/(a*e^2+c*d^2)^3*ln(e*x+d)*a*A*e^3+3*c^2/(a*e^2+c*d^2)^3*ln(e*x+d)*A*d^2*e+3*c/(a*e^2+c*d^2)^3*ln(e*x+d)*a*B*d*e^2-c^2/(a*e^2+c*d^2)^3*ln(e*x+d)*B*d^3","B"
1338,1,553,281,0.059000," ","int((B*x+A)*(e*x+d)^5/(c*x^2+a)^2,x)","\frac{B \,e^{5} x^{3}}{3 c^{2}}+\frac{5 A a d \,e^{4} x}{2 \left(c \,x^{2}+a \right) c^{2}}-\frac{15 A a d \,e^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c^{2}}+\frac{A \,d^{5} x}{2 \left(c \,x^{2}+a \right) a}+\frac{A \,d^{5} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, a}-\frac{5 A \,d^{3} e^{2} x}{\left(c \,x^{2}+a \right) c}+\frac{5 A \,d^{3} e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c}+\frac{A \,e^{5} x^{2}}{2 c^{2}}-\frac{B \,a^{2} e^{5} x}{2 \left(c \,x^{2}+a \right) c^{3}}+\frac{5 B \,a^{2} e^{5} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c^{3}}+\frac{5 B a \,d^{2} e^{3} x}{\left(c \,x^{2}+a \right) c^{2}}-\frac{15 B a \,d^{2} e^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c^{2}}-\frac{5 B \,d^{4} e x}{2 \left(c \,x^{2}+a \right) c}+\frac{5 B \,d^{4} e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c}+\frac{5 B d \,e^{4} x^{2}}{2 c^{2}}-\frac{A \,a^{2} e^{5}}{2 \left(c \,x^{2}+a \right) c^{3}}+\frac{5 A a \,d^{2} e^{3}}{\left(c \,x^{2}+a \right) c^{2}}-\frac{A a \,e^{5} \ln \left(c \,x^{2}+a \right)}{c^{3}}-\frac{5 A \,d^{4} e}{2 \left(c \,x^{2}+a \right) c}+\frac{5 A \,d^{2} e^{3} \ln \left(c \,x^{2}+a \right)}{c^{2}}+\frac{5 A d \,e^{4} x}{c^{2}}-\frac{5 B \,a^{2} d \,e^{4}}{2 \left(c \,x^{2}+a \right) c^{3}}+\frac{5 B a \,d^{3} e^{2}}{\left(c \,x^{2}+a \right) c^{2}}-\frac{5 B a d \,e^{4} \ln \left(c \,x^{2}+a \right)}{c^{3}}-\frac{2 B a \,e^{5} x}{c^{3}}-\frac{B \,d^{5}}{2 \left(c \,x^{2}+a \right) c}+\frac{5 B \,d^{3} e^{2} \ln \left(c \,x^{2}+a \right)}{c^{2}}+\frac{10 B \,d^{2} e^{3} x}{c^{2}}"," ",0,"1/2*e^5/c^2*A*x^2-1/2/c^3/(c*x^2+a)*A*a^2*e^5-5/2/c/(c*x^2+a)*A*d^4*e-1/2/c/(c*x^2+a)*B*d^5+1/3*e^5/c^2*B*x^3+5/c^2/(c*x^2+a)*a*x*B*d^2*e^3-1/c^3*a*ln(c*x^2+a)*A*e^5+5/c^2*ln(c*x^2+a)*A*d^2*e^3-15/c^2*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d^2*e^3+5/2/c^2/(c*x^2+a)*a*x*A*d*e^4-15/2/c^2*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d*e^4+5/c^2/(c*x^2+a)*A*d^2*a*e^3-5/c/(c*x^2+a)*x*A*d^3*e^2+10*e^3/c^2*B*x*d^2-2*e^5/c^3*B*x*a+5/2*e^4/c^2*B*x^2*d+5*e^4/c^2*A*x*d+1/2/(c*x^2+a)/a*x*A*d^5+5/c^2*ln(c*x^2+a)*B*d^3*e^2+1/2/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^5+5/2/c^3*a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*e^5+5/2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d^4*e-1/2/c^3/(c*x^2+a)*a^2*x*B*e^5-5/2/c/(c*x^2+a)*x*B*d^4*e-5/2/c^3/(c*x^2+a)*B*a^2*d*e^4+5/c^2/(c*x^2+a)*B*d^3*a*e^2-5/c^3*a*ln(c*x^2+a)*B*d*e^4+5/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^3*e^2","A"
1339,1,414,204,0.054000," ","int((B*x+A)*(e*x+d)^4/(c*x^2+a)^2,x)","\frac{A a \,e^{4} x}{2 \left(c \,x^{2}+a \right) c^{2}}-\frac{3 A a \,e^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c^{2}}+\frac{A \,d^{4} x}{2 \left(c \,x^{2}+a \right) a}+\frac{A \,d^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, a}-\frac{3 A \,d^{2} e^{2} x}{\left(c \,x^{2}+a \right) c}+\frac{3 A \,d^{2} e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c}+\frac{2 B a d \,e^{3} x}{\left(c \,x^{2}+a \right) c^{2}}-\frac{6 B a d \,e^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c^{2}}-\frac{2 B \,d^{3} e x}{\left(c \,x^{2}+a \right) c}+\frac{2 B \,d^{3} e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c}+\frac{B \,e^{4} x^{2}}{2 c^{2}}+\frac{2 A a d \,e^{3}}{\left(c \,x^{2}+a \right) c^{2}}-\frac{2 A \,d^{3} e}{\left(c \,x^{2}+a \right) c}+\frac{2 A d \,e^{3} \ln \left(c \,x^{2}+a \right)}{c^{2}}+\frac{A \,e^{4} x}{c^{2}}-\frac{B \,a^{2} e^{4}}{2 \left(c \,x^{2}+a \right) c^{3}}+\frac{3 B a \,d^{2} e^{2}}{\left(c \,x^{2}+a \right) c^{2}}-\frac{B a \,e^{4} \ln \left(c \,x^{2}+a \right)}{c^{3}}-\frac{B \,d^{4}}{2 \left(c \,x^{2}+a \right) c}+\frac{3 B \,d^{2} e^{2} \ln \left(c \,x^{2}+a \right)}{c^{2}}+\frac{4 B d \,e^{3} x}{c^{2}}"," ",0,"1/2*B/c^2*e^4*x^2+A/c^2*e^4*x+4*B/c^2*d*e^3*x+1/2/c^2/(c*x^2+a)*a*x*A*e^4-3/c/(c*x^2+a)*x*A*d^2*e^2+1/2/(c*x^2+a)/a*x*A*d^4+2/c^2/(c*x^2+a)*a*x*B*d*e^3-2/c/(c*x^2+a)*x*B*d^3*e+2/c^2/(c*x^2+a)*A*a*d*e^3-2/c/(c*x^2+a)*A*d^3*e-1/2/c^3/(c*x^2+a)*B*a^2*e^4+3/c^2/(c*x^2+a)*a*d^2*B*e^2-1/2/c/(c*x^2+a)*B*d^4+2/c^2*ln(c*x^2+a)*A*d*e^3-1/c^3*a*ln(c*x^2+a)*B*e^4+3/c^2*ln(c*x^2+a)*B*d^2*e^2-3/2/c^2*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*e^4+3/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^2*e^2+1/2/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^4-6/c^2*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d*e^3+2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d^3*e","B"
1340,1,296,145,0.054000," ","int((B*x+A)*(e*x+d)^3/(c*x^2+a)^2,x)","\frac{A \,d^{3} x}{2 \left(c \,x^{2}+a \right) a}+\frac{A \,d^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, a}-\frac{3 A d \,e^{2} x}{2 \left(c \,x^{2}+a \right) c}+\frac{3 A d \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c}+\frac{B a \,e^{3} x}{2 \left(c \,x^{2}+a \right) c^{2}}-\frac{3 B a \,e^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c^{2}}-\frac{3 B \,d^{2} e x}{2 \left(c \,x^{2}+a \right) c}+\frac{3 B \,d^{2} e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c}+\frac{A a \,e^{3}}{2 \left(c \,x^{2}+a \right) c^{2}}-\frac{3 A \,d^{2} e}{2 \left(c \,x^{2}+a \right) c}+\frac{A \,e^{3} \ln \left(c \,x^{2}+a \right)}{2 c^{2}}+\frac{3 B a d \,e^{2}}{2 \left(c \,x^{2}+a \right) c^{2}}-\frac{B \,d^{3}}{2 \left(c \,x^{2}+a \right) c}+\frac{3 B d \,e^{2} \ln \left(c \,x^{2}+a \right)}{2 c^{2}}+\frac{B \,e^{3} x}{c^{2}}"," ",0,"B/c^2*e^3*x-3/2/c/(c*x^2+a)*x*A*d*e^2+1/2/(c*x^2+a)/a*x*A*d^3+1/2/c^2/(c*x^2+a)*a*x*B*e^3-3/2/c/(c*x^2+a)*x*B*d^2*e+1/2/c^2/(c*x^2+a)*a*A*e^3-3/2/c/(c*x^2+a)*A*d^2*e+3/2/c^2/(c*x^2+a)*a*B*d*e^2-1/2/c/(c*x^2+a)*B*d^3+1/2/c^2*ln(c*x^2+a)*A*e^3+3/2/c^2*ln(c*x^2+a)*B*d*e^2+3/2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d*e^2+1/2/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^3-3/2/c^2*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*e^3+3/2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d^2*e","B"
1341,1,151,98,0.059000," ","int((B*x+A)*(e*x+d)^2/(c*x^2+a)^2,x)","\frac{A \,d^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, a}+\frac{A \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c}+\frac{B d e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c}+\frac{B \,e^{2} \ln \left(c \,x^{2}+a \right)}{2 c^{2}}+\frac{-\frac{\left(A a \,e^{2}-A c \,d^{2}+2 a B d e \right) x}{2 a c}-\frac{2 A c d e -B a \,e^{2}+B c \,d^{2}}{2 c^{2}}}{c \,x^{2}+a}"," ",0,"(-1/2*(A*a*e^2-A*c*d^2+2*B*a*d*e)/a/c*x-1/2*(2*A*c*d*e-B*a*e^2+B*c*d^2)/c^2)/(c*x^2+a)+1/2*B*e^2*ln(c*x^2+a)/c^2+1/2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*e^2+1/2/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^2+1/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d*e","A"
1342,1,86,67,0.056000," ","int((B*x+A)*(e*x+d)/(c*x^2+a)^2,x)","\frac{A d \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, a}+\frac{B e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c}+\frac{\frac{\left(A c d -a B e \right) x}{2 a c}-\frac{A e +B d}{2 c}}{c \,x^{2}+a}"," ",0,"(1/2*(A*c*d-B*a*e)/a/c*x-1/2*(A*e+B*d)/c)/(c*x^2+a)+1/2/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d+1/2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*e","A"
1343,1,49,45,0.052000," ","int((B*x+A)/(c*x^2+a)^2,x)","\frac{A \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, a}+\frac{2 A c x -2 B a}{4 \left(c \,x^{2}+a \right) a c}"," ",0,"1/4*(2*A*c*x-2*B*a)/a/c/(c*x^2+a)+1/2*A/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)","A"
1344,1,495,181,0.064000," ","int((B*x+A)/(e*x+d)/(c*x^2+a)^2,x)","\frac{A \,c^{2} d^{3} x}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \left(c \,x^{2}+a \right) a}+\frac{A \,c^{2} d^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \sqrt{a c}\, a}+\frac{A c d \,e^{2} x}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \left(c \,x^{2}+a \right)}+\frac{3 A c d \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \sqrt{a c}}+\frac{B a \,e^{3} x}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \left(c \,x^{2}+a \right)}+\frac{B a \,e^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \sqrt{a c}}+\frac{B c \,d^{2} e x}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \left(c \,x^{2}+a \right)}-\frac{B c \,d^{2} e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \sqrt{a c}}+\frac{A a \,e^{3}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \left(c \,x^{2}+a \right)}+\frac{A c \,d^{2} e}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \left(c \,x^{2}+a \right)}-\frac{A \,e^{3} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2}}+\frac{A \,e^{3} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{2}}-\frac{B a d \,e^{2}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \left(c \,x^{2}+a \right)}-\frac{B c \,d^{3}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \left(c \,x^{2}+a \right)}+\frac{B d \,e^{2} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2}}-\frac{B d \,e^{2} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{2}}"," ",0,"1/2/(a*e^2+c*d^2)^2/(c*x^2+a)*x*A*c*d*e^2+1/2/(a*e^2+c*d^2)^2/(c*x^2+a)/a*x*A*c^2*d^3+1/2/(a*e^2+c*d^2)^2/(c*x^2+a)*a*x*B*e^3+1/2/(a*e^2+c*d^2)^2/(c*x^2+a)*x*B*c*d^2*e+1/2/(a*e^2+c*d^2)^2/(c*x^2+a)*a*A*e^3+1/2/(a*e^2+c*d^2)^2/(c*x^2+a)*A*c*d^2*e-1/2/(a*e^2+c*d^2)^2/(c*x^2+a)*a*B*d*e^2-1/2/(a*e^2+c*d^2)^2/(c*x^2+a)*B*c*d^3-1/2/(a*e^2+c*d^2)^2*ln(c*x^2+a)*A*e^3+1/2/(a*e^2+c*d^2)^2*ln(c*x^2+a)*B*d*e^2+3/2/(a*e^2+c*d^2)^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*c*d*e^2+1/2/(a*e^2+c*d^2)^2/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*c^2*d^3+1/2/(a*e^2+c*d^2)^2*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*e^3-1/2/(a*e^2+c*d^2)^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*c*d^2*e+e^3/(a*e^2+c*d^2)^2*ln(e*x+d)*A-e^2/(a*e^2+c*d^2)^2*ln(e*x+d)*B*d","B"
1345,1,661,274,0.070000," ","int((B*x+A)/(e*x+d)^2/(c*x^2+a)^2,x)","-\frac{A a c \,e^{4} x}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)}-\frac{3 A a c \,e^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}+\frac{A \,c^{3} d^{4} x}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right) a}+\frac{A \,c^{3} d^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}\, a}+\frac{3 A \,c^{2} d^{2} e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}+\frac{B a c d \,e^{3} x}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)}+\frac{3 B a c d \,e^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}+\frac{B \,c^{2} d^{3} e x}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)}-\frac{B \,c^{2} d^{3} e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}+\frac{A a c d \,e^{3}}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)}+\frac{A \,c^{2} d^{3} e}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)}-\frac{2 A c d \,e^{3} \ln \left(c \,x^{2}+a \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}+\frac{4 A c d \,e^{3} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}+\frac{B \,a^{2} e^{4}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)}-\frac{B a \,e^{4} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3}}+\frac{B a \,e^{4} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}-\frac{B \,c^{2} d^{4}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)}+\frac{3 B c \,d^{2} e^{2} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3}}-\frac{3 B c \,d^{2} e^{2} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}-\frac{A \,e^{3}}{\left(a \,e^{2}+c \,d^{2}\right)^{2} \left(e x +d \right)}+\frac{B d \,e^{2}}{\left(a \,e^{2}+c \,d^{2}\right)^{2} \left(e x +d \right)}"," ",0,"-1/2*c/(a*e^2+c*d^2)^3/(c*x^2+a)*a*x*A*e^4+1/2*c^3/(a*e^2+c*d^2)^3/(c*x^2+a)/a*x*A*d^4+c/(a*e^2+c*d^2)^3/(c*x^2+a)*a*x*B*d*e^3+c^2/(a*e^2+c*d^2)^3/(c*x^2+a)*x*B*d^3*e+c/(a*e^2+c*d^2)^3/(c*x^2+a)*A*a*d*e^3+c^2/(a*e^2+c*d^2)^3/(c*x^2+a)*A*d^3*e+1/2/(a*e^2+c*d^2)^3/(c*x^2+a)*B*a^2*e^4-1/2*c^2/(a*e^2+c*d^2)^3/(c*x^2+a)*B*d^4-2*c/(a*e^2+c*d^2)^3*ln(c*x^2+a)*A*d*e^3-1/2/(a*e^2+c*d^2)^3*a*ln(c*x^2+a)*B*e^4+3/2*c/(a*e^2+c*d^2)^3*ln(c*x^2+a)*d^2*B*e^2-3/2*c/(a*e^2+c*d^2)^3*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*e^4+3*c^2/(a*e^2+c*d^2)^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^2*e^2+1/2*c^3/(a*e^2+c*d^2)^3/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^4+3*c/(a*e^2+c*d^2)^3*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d*e^3-c^2/(a*e^2+c*d^2)^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d^3*e+4*e^3/(a*e^2+c*d^2)^3*ln(e*x+d)*A*c*d+e^4/(a*e^2+c*d^2)^3*ln(e*x+d)*B*a-3*e^2/(a*e^2+c*d^2)^3*ln(e*x+d)*B*c*d^2-e^3/(a*e^2+c*d^2)^2/(e*x+d)*A+e^2/(a*e^2+c*d^2)^2/(e*x+d)*B*d","B"
1346,1,678,286,0.060000," ","int((B*x+A)*(e*x+d)^5/(c*x^2+a)^3,x)","\frac{5 A \,d^{3} e^{2} x^{3}}{4 \left(c \,x^{2}+a \right)^{2} a}+\frac{3 A c \,d^{5} x^{3}}{8 \left(c \,x^{2}+a \right)^{2} a^{2}}-\frac{25 A d \,e^{4} x^{3}}{8 \left(c \,x^{2}+a \right)^{2} c}+\frac{9 B a \,e^{5} x^{3}}{8 \left(c \,x^{2}+a \right)^{2} c^{2}}+\frac{5 B \,d^{4} e \,x^{3}}{8 \left(c \,x^{2}+a \right)^{2} a}-\frac{25 B \,d^{2} e^{3} x^{3}}{4 \left(c \,x^{2}+a \right)^{2} c}+\frac{A a \,e^{5} x^{2}}{\left(c \,x^{2}+a \right)^{2} c^{2}}-\frac{5 A \,d^{2} e^{3} x^{2}}{\left(c \,x^{2}+a \right)^{2} c}+\frac{5 B a d \,e^{4} x^{2}}{\left(c \,x^{2}+a \right)^{2} c^{2}}-\frac{5 B \,d^{3} e^{2} x^{2}}{\left(c \,x^{2}+a \right)^{2} c}-\frac{15 A a d \,e^{4} x}{8 \left(c \,x^{2}+a \right)^{2} c^{2}}+\frac{5 A \,d^{5} x}{8 \left(c \,x^{2}+a \right)^{2} a}-\frac{5 A \,d^{3} e^{2} x}{4 \left(c \,x^{2}+a \right)^{2} c}+\frac{7 B \,a^{2} e^{5} x}{8 \left(c \,x^{2}+a \right)^{2} c^{3}}-\frac{15 B a \,d^{2} e^{3} x}{4 \left(c \,x^{2}+a \right)^{2} c^{2}}-\frac{5 B \,d^{4} e x}{8 \left(c \,x^{2}+a \right)^{2} c}+\frac{3 A \,a^{2} e^{5}}{4 \left(c \,x^{2}+a \right)^{2} c^{3}}-\frac{5 A a \,d^{2} e^{3}}{2 \left(c \,x^{2}+a \right)^{2} c^{2}}+\frac{5 A \,d^{3} e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{4 \sqrt{a c}\, a c}+\frac{3 A \,d^{5} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a^{2}}-\frac{5 A \,d^{4} e}{4 \left(c \,x^{2}+a \right)^{2} c}+\frac{15 A d \,e^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, c^{2}}+\frac{15 B \,a^{2} d \,e^{4}}{4 \left(c \,x^{2}+a \right)^{2} c^{3}}-\frac{5 B a \,d^{3} e^{2}}{2 \left(c \,x^{2}+a \right)^{2} c^{2}}-\frac{15 B a \,e^{5} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, c^{3}}+\frac{5 B \,d^{4} e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a c}-\frac{B \,d^{5}}{4 \left(c \,x^{2}+a \right)^{2} c}+\frac{15 B \,d^{2} e^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{4 \sqrt{a c}\, c^{2}}+\frac{A \,e^{5} \ln \left(c \,x^{2}+a \right)}{2 c^{3}}+\frac{5 B d \,e^{4} \ln \left(c \,x^{2}+a \right)}{2 c^{3}}+\frac{B \,e^{5} x}{c^{3}}"," ",0,"-1/4/c/(c*x^2+a)^2*B*d^5+1/2/c^3*ln(c*x^2+a)*A*e^5+5/4/c/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^3*e^2+5/8/c/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d^4*e-15/4/c^2/(c*x^2+a)^2*a*x*B*d^2*e^3-15/8/c^2/(c*x^2+a)^2*a*x*A*d*e^4+5/c^2/(c*x^2+a)^2*B*x^2*a*d*e^4+3/8/a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^5+5/2/c^3*ln(c*x^2+a)*B*d*e^4+3/4/c^3/(c*x^2+a)^2*A*a^2*e^5-5/4/c/(c*x^2+a)^2*A*d^4*e+5/8/(c*x^2+a)^2/a*x*A*d^5+5/8/(c*x^2+a)^2/a*x^3*B*d^4*e+5/4/(c*x^2+a)^2/a*x^3*A*d^3*e^2+15/8/c^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d*e^4+15/4/c^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d^2*e^3+1/c^2/(c*x^2+a)^2*A*x^2*a*e^5+9/8/c^2/(c*x^2+a)^2*a*x^3*B*e^5-25/8/c/(c*x^2+a)^2*x^3*A*d*e^4+3/8*c/(c*x^2+a)^2/a^2*x^3*A*d^5-15/8/c^3*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*e^5+B/c^3*e^5*x-5/c/(c*x^2+a)^2*A*x^2*d^2*e^3-5/c/(c*x^2+a)^2*B*x^2*d^3*e^2-5/4/c/(c*x^2+a)^2*x*A*d^3*e^2-5/8/c/(c*x^2+a)^2*x*B*d^4*e-5/2/c^2/(c*x^2+a)^2*A*d^2*a*e^3-5/2/c^2/(c*x^2+a)^2*B*d^3*a*e^2+15/4/c^3/(c*x^2+a)^2*B*a^2*d*e^4+7/8/c^3/(c*x^2+a)^2*a^2*x*B*e^5-25/4/c/(c*x^2+a)^2*x^3*B*d^2*e^3","B"
1347,1,359,200,0.053000," ","int((B*x+A)*(e*x+d)^4/(c*x^2+a)^3,x)","\frac{3 A \,d^{2} e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{4 \sqrt{a c}\, a c}+\frac{3 A \,d^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a^{2}}+\frac{3 A \,e^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, c^{2}}+\frac{B \,d^{3} e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, a c}+\frac{3 B d \,e^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c^{2}}+\frac{B \,e^{4} \ln \left(c \,x^{2}+a \right)}{2 c^{3}}+\frac{-\frac{\left(2 A c d e -B a \,e^{2}+3 B c \,d^{2}\right) e^{2} x^{2}}{c^{2}}-\frac{\left(5 A \,a^{2} e^{4}-6 A a c \,d^{2} e^{2}-3 A \,c^{2} d^{4}+20 B \,a^{2} d \,e^{3}-4 B a c \,d^{3} e \right) x^{3}}{8 a^{2} c}-\frac{\left(3 A \,a^{2} e^{4}+6 A a c \,d^{2} e^{2}-5 A \,c^{2} d^{4}+12 B \,a^{2} d \,e^{3}+4 B a c \,d^{3} e \right) x}{8 a \,c^{2}}-\frac{4 A d a c \,e^{3}+4 A \,c^{2} d^{3} e -3 B \,a^{2} e^{4}+6 a \,d^{2} B \,e^{2} c +B \,c^{2} d^{4}}{4 c^{3}}}{\left(c \,x^{2}+a \right)^{2}}"," ",0,"(-1/8*(5*A*a^2*e^4-6*A*a*c*d^2*e^2-3*A*c^2*d^4+20*B*a^2*d*e^3-4*B*a*c*d^3*e)/a^2/c*x^3-e^2*(2*A*c*d*e-B*a*e^2+3*B*c*d^2)/c^2*x^2-1/8*(3*A*a^2*e^4+6*A*a*c*d^2*e^2-5*A*c^2*d^4+12*B*a^2*d*e^3+4*B*a*c*d^3*e)/a/c^2*x-1/4*(4*A*a*c*d*e^3+4*A*c^2*d^3*e-3*B*a^2*e^4+6*B*a*c*d^2*e^2+B*c^2*d^4)/c^3)/(c*x^2+a)^2+1/2*B*e^4*ln(c*x^2+a)/c^3+3/8/c^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*e^4+3/4/a/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^2*e^2+3/8/a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^4+3/2/c^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d*e^3+1/2/a/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d^3*e","A"
1348,1,260,111,0.056000," ","int((B*x+A)*(e*x+d)^3/(c*x^2+a)^3,x)","\frac{3 A d \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a c}+\frac{3 A \,d^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a^{2}}+\frac{3 B \,d^{2} e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a c}+\frac{3 B \,e^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, c^{2}}+\frac{-\frac{\left(A e +3 B d \right) e^{2} x^{2}}{2 c}+\frac{\left(3 A a c d \,e^{2}+3 A \,c^{2} d^{3}-5 B \,a^{2} e^{3}+3 B a c \,d^{2} e \right) x^{3}}{8 a^{2} c}-\frac{\left(3 A a c d \,e^{2}-5 A \,c^{2} d^{3}+3 B \,a^{2} e^{3}+3 B a c \,d^{2} e \right) x}{8 a \,c^{2}}-\frac{a A \,e^{3}+3 A c \,d^{2} e +3 a B d \,e^{2}+B c \,d^{3}}{4 c^{2}}}{\left(c \,x^{2}+a \right)^{2}}"," ",0,"(1/8*(3*A*a*c*d*e^2+3*A*c^2*d^3-5*B*a^2*e^3+3*B*a*c*d^2*e)/a^2/c*x^3-1/2*e^2*(A*e+3*B*d)*x^2/c-1/8*(3*A*a*c*d*e^2-5*A*c^2*d^3+3*B*a^2*e^3+3*B*a*c*d^2*e)/a/c^2*x-1/4*(A*a*e^3+3*A*c*d^2*e+3*B*a*d*e^2+B*c*d^3)/c^2)/(c*x^2+a)^2+3/8/a/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d*e^2+3/8/a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^3+3/8/c^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*e^3+3/8/a/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d^2*e","B"
1349,1,180,127,0.053000," ","int((B*x+A)*(e*x+d)^2/(c*x^2+a)^3,x)","\frac{A \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a c}+\frac{3 A \,d^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a^{2}}+\frac{B d e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{4 \sqrt{a c}\, a c}+\frac{-\frac{B \,e^{2} x^{2}}{2 c}+\frac{\left(A a \,e^{2}+3 A c \,d^{2}+2 a B d e \right) x^{3}}{8 a^{2}}-\frac{\left(A a \,e^{2}-5 A c \,d^{2}+2 a B d e \right) x}{8 a c}-\frac{2 A c d e +B a \,e^{2}+B c \,d^{2}}{4 c^{2}}}{\left(c \,x^{2}+a \right)^{2}}"," ",0,"(1/8*(A*a*e^2+3*A*c*d^2+2*B*a*d*e)/a^2*x^3-1/2*B/c*e^2*x^2-1/8*(A*a*e^2-5*A*c*d^2+2*B*a*d*e)/a/c*x-1/4*(2*A*c*d*e+B*a*e^2+B*c*d^2)/c^2)/(c*x^2+a)^2+1/8/a/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*e^2+3/8/a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^2+1/4/a/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d*e","A"
1350,1,108,96,0.061000," ","int((B*x+A)*(e*x+d)/(c*x^2+a)^3,x)","\frac{3 A d \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a^{2}}+\frac{B e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a c}+\frac{\frac{\left(3 A c d +a B e \right) x^{3}}{8 a^{2}}+\frac{\left(5 A c d -a B e \right) x}{8 a c}-\frac{A e +B d}{4 c}}{\left(c \,x^{2}+a \right)^{2}}"," ",0,"(1/8*(3*A*c*d+B*a*e)/a^2*x^3+1/8*(5*A*c*d-B*a*e)/a/c*x-1/4*(A*e+B*d)/c)/(c*x^2+a)^2+3/8/a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d+1/8/a/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*e","A"
1351,1,65,61,0.049000," ","int((B*x+A)/(c*x^2+a)^3,x)","\frac{3 A x}{8 \left(c \,x^{2}+a \right) a^{2}}+\frac{3 A \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a^{2}}+\frac{2 A c x -2 B a}{8 \left(c \,x^{2}+a \right)^{2} a c}"," ",0,"1/8*(2*A*c*x-2*B*a)/a/c/(c*x^2+a)^2+3/8*A*x/a^2/(c*x^2+a)+3/8*A/a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)","A"
1352,1,1087,292,0.101000," ","int((B*x+A)/(e*x+d)/(c*x^2+a)^3,x)","\frac{5 A \,c^{3} d^{3} e^{2} x^{3}}{4 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2} a}+\frac{3 A \,c^{4} d^{5} x^{3}}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2} a^{2}}+\frac{7 A \,c^{2} d \,e^{4} x^{3}}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{3 B a c \,e^{5} x^{3}}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}-\frac{B \,c^{3} d^{4} e \,x^{3}}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2} a}+\frac{B \,c^{2} d^{2} e^{3} x^{3}}{4 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{A a c \,e^{5} x^{2}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{A \,c^{2} d^{2} e^{3} x^{2}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}-\frac{B a c d \,e^{4} x^{2}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}-\frac{B \,c^{2} d^{3} e^{2} x^{2}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{9 A a c d \,e^{4} x}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{5 A \,c^{3} d^{5} x}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2} a}+\frac{7 A \,c^{2} d^{3} e^{2} x}{4 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{5 B \,a^{2} e^{5} x}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{3 B a c \,d^{2} e^{3} x}{4 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{B \,c^{2} d^{4} e x}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{3 A \,a^{2} e^{5}}{4 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{A a c \,d^{2} e^{3}}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{5 A \,c^{2} d^{3} e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{4 \left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}\, a}+\frac{3 A \,c^{3} d^{5} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}\, a^{2}}+\frac{A \,c^{2} d^{4} e}{4 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{15 A c d \,e^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}-\frac{3 B \,a^{2} d \,e^{4}}{4 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}-\frac{B a c \,d^{3} e^{2}}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{3 B a \,e^{5} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}-\frac{B \,c^{2} d^{4} e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}\, a}-\frac{B \,c^{2} d^{5}}{4 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}-\frac{3 B c \,d^{2} e^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{4 \left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}-\frac{A \,e^{5} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3}}+\frac{A \,e^{5} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}+\frac{B d \,e^{4} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3}}-\frac{B d \,e^{4} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}"," ",0,"9/8/(a*e^2+c*d^2)^3/(c*x^2+a)^2*a*x*A*c*d*e^4+5/4/(a*e^2+c*d^2)^3/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*c^2*d^3*e^2+e^5/(a*e^2+c*d^2)^3*ln(e*x+d)*A-1/2/(a*e^2+c*d^2)^3*ln(c*x^2+a)*A*e^5+3/4/(a*e^2+c*d^2)^3/(c*x^2+a)^2*a*x*B*c*d^2*e^3-1/2/(a*e^2+c*d^2)^3/(c*x^2+a)^2*x^2*B*a*c*d*e^4+5/4/(a*e^2+c*d^2)^3/(c*x^2+a)^2*c^3/a*x^3*A*d^3*e^2-1/8/(a*e^2+c*d^2)^3/(c*x^2+a)^2*c^3/a*x^3*B*d^4*e+3/8/(a*e^2+c*d^2)^3/a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*c^3*d^5+15/8/(a*e^2+c*d^2)^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*c*d*e^4-3/4/(a*e^2+c*d^2)^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*c*d^2*e^3-1/(a*e^2+c*d^2)^3/(c*x^2+a)^2*B*d^3*a*c*e^2-1/8/(a*e^2+c*d^2)^3/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*c^2*d^4*e+5/8/(a*e^2+c*d^2)^3/(c*x^2+a)^2*a^2*x*B*e^5+1/4/(a*e^2+c*d^2)^3/(c*x^2+a)^2*A*c^2*d^4*e+7/8/(a*e^2+c*d^2)^3/(c*x^2+a)^2*c^2*x^3*A*d*e^4+1/8/(a*e^2+c*d^2)^3/(c*x^2+a)^2*x*B*c^2*d^4*e+1/(a*e^2+c*d^2)^3/(c*x^2+a)^2*A*d^2*a*c*e^3+3/8/(a*e^2+c*d^2)^3/(c*x^2+a)^2*c^4/a^2*x^3*A*d^5-1/4/(a*e^2+c*d^2)^3/(c*x^2+a)^2*B*c^2*d^5+1/2/(a*e^2+c*d^2)^3*ln(c*x^2+a)*B*d*e^4-e^4/(a*e^2+c*d^2)^3*ln(e*x+d)*B*d+3/4/(a*e^2+c*d^2)^3/(c*x^2+a)^2*A*a^2*e^5+3/8/(a*e^2+c*d^2)^3/(c*x^2+a)^2*c*a*x^3*B*e^5+1/4/(a*e^2+c*d^2)^3/(c*x^2+a)^2*c^2*x^3*B*d^2*e^3+1/2/(a*e^2+c*d^2)^3/(c*x^2+a)^2*x^2*A*a*c*e^5+1/2/(a*e^2+c*d^2)^3/(c*x^2+a)^2*x^2*A*c^2*d^2*e^3-1/2/(a*e^2+c*d^2)^3/(c*x^2+a)^2*x^2*B*c^2*d^3*e^2+7/4/(a*e^2+c*d^2)^3/(c*x^2+a)^2*x*A*c^2*d^3*e^2+5/8/(a*e^2+c*d^2)^3/(c*x^2+a)^2/a*x*A*c^3*d^5-3/4/(a*e^2+c*d^2)^3/(c*x^2+a)^2*B*a^2*d*e^4+3/8/(a*e^2+c*d^2)^3*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*e^5","B"
1353,1,1410,427,0.115000," ","int((B*x+A)/(e*x+d)^2/(c*x^2+a)^3,x)","-\frac{7 A a \,c^{2} e^{6} x^{3}}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{15 A \,c^{4} d^{4} e^{2} x^{3}}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2} a}+\frac{3 A \,c^{5} d^{6} x^{3}}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2} a^{2}}+\frac{5 A \,c^{3} d^{2} e^{4} x^{3}}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{7 B a \,c^{2} d \,e^{5} x^{3}}{4 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}-\frac{B \,c^{4} d^{5} e \,x^{3}}{4 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2} a}+\frac{3 B \,c^{3} d^{3} e^{3} x^{3}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{2 A a \,c^{2} d \,e^{5} x^{2}}{\left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{2 A \,c^{3} d^{3} e^{3} x^{2}}{\left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{B \,a^{2} c \,e^{6} x^{2}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}-\frac{B a \,c^{2} d^{2} e^{4} x^{2}}{\left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}-\frac{3 B \,c^{3} d^{4} e^{2} x^{2}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}-\frac{9 A \,a^{2} c \,e^{6} x}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{3 A a \,c^{2} d^{2} e^{4} x}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{5 A \,c^{4} d^{6} x}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2} a}+\frac{17 A \,c^{3} d^{4} e^{2} x}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{9 B \,a^{2} c d \,e^{5} x}{4 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{5 B a \,c^{2} d^{3} e^{3} x}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{B \,c^{3} d^{5} e x}{4 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{5 A \,a^{2} c d \,e^{5}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{3 A a \,c^{2} d^{3} e^{3}}{\left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}-\frac{15 A a c \,e^{6} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}}+\frac{15 A \,c^{3} d^{4} e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}\, a}+\frac{3 A \,c^{4} d^{6} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}\, a^{2}}+\frac{A \,c^{3} d^{5} e}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{45 A \,c^{2} d^{2} e^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}}+\frac{3 B \,a^{3} e^{6}}{4 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}-\frac{3 B \,a^{2} c \,d^{2} e^{4}}{4 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}-\frac{7 B a \,c^{2} d^{4} e^{2}}{4 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{15 B a c d \,e^{5} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{4 \left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}}-\frac{B \,c^{3} d^{5} e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{4 \left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}\, a}-\frac{B \,c^{3} d^{6}}{4 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}-\frac{5 B \,c^{2} d^{3} e^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}}-\frac{3 A c d \,e^{5} \ln \left(c \,x^{2}+a \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4}}+\frac{6 A c d \,e^{5} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4}}-\frac{B a \,e^{6} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4}}+\frac{B a \,e^{6} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4}}+\frac{5 B c \,d^{2} e^{4} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4}}-\frac{5 B c \,d^{2} e^{4} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4}}-\frac{A \,e^{5}}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \left(e x +d \right)}+\frac{B d \,e^{4}}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \left(e x +d \right)}"," ",0,"-e^5/(a*e^2+c*d^2)^3/(e*x+d)*A-c^2/(a*e^2+c*d^2)^4/(c*x^2+a)^2*x^2*B*a*d^2*e^4-1/4*c^4/(a*e^2+c*d^2)^4/(c*x^2+a)^2/a*x^3*B*d^5*e+2*c^2/(a*e^2+c*d^2)^4/(c*x^2+a)^2*x^2*A*a*d*e^5-1/4*c^3/(a*e^2+c*d^2)^4/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d^5*e+15/4*c/(a*e^2+c*d^2)^4*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d*e^5+7/4*c^2/(a*e^2+c*d^2)^4/(c*x^2+a)^2*a*x^3*B*d*e^5+9/4*c/(a*e^2+c*d^2)^4/(c*x^2+a)^2*a^2*x*B*d*e^5+15/8*c^3/(a*e^2+c*d^2)^4/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^4*e^2+3/8*c^2/(a*e^2+c*d^2)^4/(c*x^2+a)^2*a*x*A*d^2*e^4+5/2*c^2/(a*e^2+c*d^2)^4/(c*x^2+a)^2*a*x*B*d^3*e^3+15/8*c^4/(a*e^2+c*d^2)^4/(c*x^2+a)^2/a*x^3*A*d^4*e^2+1/2*c/(a*e^2+c*d^2)^4/(c*x^2+a)^2*x^2*a^2*B*e^6-9/8*c/(a*e^2+c*d^2)^4/(c*x^2+a)^2*a^2*x*A*e^6-3/2*c^3/(a*e^2+c*d^2)^4/(c*x^2+a)^2*x^2*B*d^4*e^2+5/8*c^4/(a*e^2+c*d^2)^4/(c*x^2+a)^2/a*x*A*d^6+2*c^3/(a*e^2+c*d^2)^4/(c*x^2+a)^2*x^2*A*d^3*e^3+5/8*c^3/(a*e^2+c*d^2)^4/(c*x^2+a)^2*x^3*A*d^2*e^4-1/4*c^3/(a*e^2+c*d^2)^4/(c*x^2+a)^2*B*d^6+3*c^2/(a*e^2+c*d^2)^4/(c*x^2+a)^2*A*d^3*a*e^3-7/4*c^2/(a*e^2+c*d^2)^4/(c*x^2+a)^2*B*d^4*a*e^2+3/2*c^3/(a*e^2+c*d^2)^4/(c*x^2+a)^2*x^3*B*d^3*e^3+17/8*c^3/(a*e^2+c*d^2)^4/(c*x^2+a)^2*x*A*d^4*e^2+1/4*c^3/(a*e^2+c*d^2)^4/(c*x^2+a)^2*x*B*d^5*e+45/8*c^2/(a*e^2+c*d^2)^4/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^2*e^4-5/2*c^2/(a*e^2+c*d^2)^4/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d^3*e^3-15/8*c/(a*e^2+c*d^2)^4*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*e^6+3/8*c^4/(a*e^2+c*d^2)^4/a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^6-3/4*c/(a*e^2+c*d^2)^4/(c*x^2+a)^2*a^2*B*d^2*e^4+5/2*c/(a*e^2+c*d^2)^4/(c*x^2+a)^2*A*a^2*d*e^5-7/8*c^2/(a*e^2+c*d^2)^4/(c*x^2+a)^2*a*x^3*A*e^6+3/8*c^5/(a*e^2+c*d^2)^4/(c*x^2+a)^2/a^2*x^3*A*d^6-1/2/(a*e^2+c*d^2)^4*a*ln(c*x^2+a)*B*e^6+e^6/(a*e^2+c*d^2)^4*ln(e*x+d)*B*a+e^4/(a*e^2+c*d^2)^3/(e*x+d)*B*d+3/4/(a*e^2+c*d^2)^4/(c*x^2+a)^2*B*a^3*e^6+5/2*c/(a*e^2+c*d^2)^4*ln(c*x^2+a)*B*d^2*e^4+6*e^5/(a*e^2+c*d^2)^4*ln(e*x+d)*A*c*d-5*e^4/(a*e^2+c*d^2)^4*ln(e*x+d)*B*c*d^2+1/2*c^3/(a*e^2+c*d^2)^4/(c*x^2+a)^2*A*d^5*e-3*c/(a*e^2+c*d^2)^4*ln(c*x^2+a)*A*d*e^5","B"
1354,1,22,23,0.049000," ","int((-11+6*x)/(2*x-1)/(x^2-1),x)","-\frac{5 \ln \left(x -1\right)}{2}-\frac{17 \ln \left(x +1\right)}{6}+\frac{16 \ln \left(2 x -1\right)}{3}"," ",0,"-5/2*ln(x-1)+16/3*ln(2*x-1)-17/6*ln(x+1)","A"
1355,1,29,31,0.045000," ","int(x*(x+1)^2/(x^2+1)^3,x)","\frac{\arctan \left(x \right)}{4}+\frac{\frac{1}{4} x^{3}-\frac{1}{2} x^{2}-\frac{1}{4} x -\frac{1}{2}}{\left(x^{2}+1\right)^{2}}"," ",0,"(1/4*x^3-1/2*x^2-1/4*x-1/2)/(x^2+1)^2+1/4*arctan(x)","A"
1356,1,91,95,0.052000," ","int((5-x)*(2*x+3)^4*(3*x^2+2)^(1/2),x)","-\frac{16 \left(3 x^{2}+2\right)^{\frac{3}{2}} x^{4}}{21}-\frac{8 \left(3 x^{2}+2\right)^{\frac{3}{2}} x^{3}}{9}+\frac{5672 \left(3 x^{2}+2\right)^{\frac{3}{2}} x^{2}}{315}+\frac{652 \left(3 x^{2}+2\right)^{\frac{3}{2}} x}{9}+\frac{2341 \sqrt{3 x^{2}+2}\, x}{18}+\frac{2341 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{27}+\frac{291997 \left(3 x^{2}+2\right)^{\frac{3}{2}}}{2835}"," ",0,"-16/21*x^4*(3*x^2+2)^(3/2)+5672/315*x^2*(3*x^2+2)^(3/2)+291997/2835*(3*x^2+2)^(3/2)-8/9*x^3*(3*x^2+2)^(3/2)+652/9*x*(3*x^2+2)^(3/2)+2341/18*(3*x^2+2)^(1/2)*x+2341/27*arcsinh(1/2*6^(1/2)*x)*3^(1/2)","A"
1357,1,77,77,0.056000," ","int((5-x)*(2*x+3)^3*(3*x^2+2)^(1/2),x)","-\frac{4 \left(3 x^{2}+2\right)^{\frac{3}{2}} x^{3}}{9}+\frac{4 \left(3 x^{2}+2\right)^{\frac{3}{2}} x^{2}}{15}+\frac{193 \left(3 x^{2}+2\right)^{\frac{3}{2}} x}{18}+\frac{511 \sqrt{3 x^{2}+2}\, x}{9}+\frac{1022 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{27}+\frac{3629 \left(3 x^{2}+2\right)^{\frac{3}{2}}}{135}"," ",0,"-4/9*(3*x^2+2)^(3/2)*x^3+193/18*(3*x^2+2)^(3/2)*x+511/9*(3*x^2+2)^(1/2)*x+1022/27*arcsinh(1/2*6^(1/2)*x)*3^(1/2)+4/15*(3*x^2+2)^(3/2)*x^2+3629/135*(3*x^2+2)^(3/2)","A"
1358,1,63,59,0.046000," ","int((5-x)*(2*x+3)^2*(3*x^2+2)^(1/2),x)","-\frac{4 \left(3 x^{2}+2\right)^{\frac{3}{2}} x^{2}}{15}+\frac{2 \left(3 x^{2}+2\right)^{\frac{3}{2}} x}{3}+\frac{131 \sqrt{3 x^{2}+2}\, x}{6}+\frac{131 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{9}+\frac{781 \left(3 x^{2}+2\right)^{\frac{3}{2}}}{135}"," ",0,"-4/15*(3*x^2+2)^(3/2)*x^2+781/135*(3*x^2+2)^(3/2)+2/3*(3*x^2+2)^(3/2)*x+131/6*(3*x^2+2)^(1/2)*x+131/9*arcsinh(1/2*6^(1/2)*x)*3^(1/2)","A"
1359,1,49,41,0.056000," ","int((5-x)*(2*x+3)*(3*x^2+2)^(1/2),x)","-\frac{\left(3 x^{2}+2\right)^{\frac{3}{2}} x}{6}+\frac{23 \sqrt{3 x^{2}+2}\, x}{3}+\frac{46 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{9}+\frac{7 \left(3 x^{2}+2\right)^{\frac{3}{2}}}{9}"," ",0,"-1/6*(3*x^2+2)^(3/2)*x+23/3*(3*x^2+2)^(1/2)*x+46/9*arcsinh(1/2*6^(1/2)*x)*3^(1/2)+7/9*(3*x^2+2)^(3/2)","A"
1360,1,37,36,0.054000," ","int((5-x)*(3*x^2+2)^(1/2),x)","\frac{5 \sqrt{3 x^{2}+2}\, x}{2}+\frac{5 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{3}-\frac{\left(3 x^{2}+2\right)^{\frac{3}{2}}}{9}"," ",0,"-1/9*(3*x^2+2)^(3/2)+5/3*arcsinh(1/2*6^(1/2)*x)*3^(1/2)+5/2*(3*x^2+2)^(1/2)*x","A"
1361,1,72,54,0.062000," ","int((5-x)*(3*x^2+2)^(1/2)/(2*x+3),x)","-\frac{\sqrt{3 x^{2}+2}\, x}{4}-\frac{121 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{24}-\frac{13 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{8}+\frac{13 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{8}"," ",0,"-1/4*(3*x^2+2)^(1/2)*x-121/24*arcsinh(1/2*6^(1/2)*x)*3^(1/2)+13/8*(12*(x+3/2)^2-36*x-19)^(1/2)-13/8*35^(1/2)*arctanh(2/35*(4-9*x)*35^(1/2)/(12*(x+3/2)^2-36*x-19)^(1/2))","A"
1362,1,98,59,0.053000," ","int((5-x)*(3*x^2+2)^(1/2)/(2*x+3)^2,x)","\frac{39 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\, x}{70}+2 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)+\frac{19 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{35}-\frac{13 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{70 \left(x +\frac{3}{2}\right)}-\frac{19 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{35}"," ",0,"-13/70/(x+3/2)*(3*(x+3/2)^2-9*x-19/4)^(3/2)-19/35*(-36*x+12*(x+3/2)^2-19)^(1/2)+2*arcsinh(1/2*6^(1/2)*x)*3^(1/2)+19/35*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))+39/70*x*(3*(x+3/2)^2-9*x-19/4)^(1/2)","A"
1363,1,119,61,0.059000," ","int((5-x)*(3*x^2+2)^(1/2)/(2*x+3)^3,x)","\frac{141 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\, x}{4900}-\frac{\sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{8}-\frac{471 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{9800}-\frac{13 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{280 \left(x +\frac{3}{2}\right)^{2}}-\frac{47 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{4900 \left(x +\frac{3}{2}\right)}+\frac{471 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{9800}"," ",0,"-13/280/(x+3/2)^2*(-9*x+3*(x+3/2)^2-19/4)^(3/2)-47/4900/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(3/2)+471/9800*(-36*x+12*(x+3/2)^2-19)^(1/2)-471/9800*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))+141/4900*(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x-1/8*arcsinh(1/2*6^(1/2)*x)*3^(1/2)","A"
1364,1,128,67,0.059000," ","int((5-x)*(3*x^2+2)^(1/2)/(2*x+3)^4,x)","\frac{1107 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\, x}{85750}-\frac{123 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{42875}-\frac{41 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{4900 \left(x +\frac{3}{2}\right)^{2}}-\frac{369 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{85750 \left(x +\frac{3}{2}\right)}+\frac{123 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{42875}-\frac{13 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{840 \left(x +\frac{3}{2}\right)^{3}}"," ",0,"-41/4900/(x+3/2)^2*(-9*x+3*(x+3/2)^2-19/4)^(3/2)-369/85750/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(3/2)+123/42875*(-36*x+12*(x+3/2)^2-19)^(1/2)-123/42875*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))+1107/85750*(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x-13/840/(x+3/2)^3*(-9*x+3*(x+3/2)^2-19/4)^(3/2)","A"
1365,1,149,85,0.059000," ","int((5-x)*(3*x^2+2)^(1/2)/(2*x+3)^5,x)","\frac{891 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\, x}{300125}-\frac{198 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{300125}-\frac{89 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{23520 \left(x +\frac{3}{2}\right)^{3}}-\frac{33 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{17150 \left(x +\frac{3}{2}\right)^{2}}-\frac{297 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{300125 \left(x +\frac{3}{2}\right)}+\frac{198 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{300125}-\frac{13 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{2240 \left(x +\frac{3}{2}\right)^{4}}"," ",0,"-89/23520/(x+3/2)^3*(-9*x+3*(x+3/2)^2-19/4)^(3/2)-33/17150/(x+3/2)^2*(-9*x+3*(x+3/2)^2-19/4)^(3/2)-297/300125/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(3/2)+198/300125*(-36*x+12*(x+3/2)^2-19)^(1/2)-198/300125*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))+891/300125*(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x-13/2240/(x+3/2)^4*(-9*x+3*(x+3/2)^2-19/4)^(3/2)","A"
1366,1,170,103,0.066000," ","int((5-x)*(3*x^2+2)^(1/2)/(2*x+3)^6,x)","\frac{9153 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\, x}{15006250}-\frac{1017 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{7503125}-\frac{13 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{5600 \left(x +\frac{3}{2}\right)^{5}}-\frac{23 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{14000 \left(x +\frac{3}{2}\right)^{4}}-\frac{43 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{49000 \left(x +\frac{3}{2}\right)^{3}}-\frac{339 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{857500 \left(x +\frac{3}{2}\right)^{2}}-\frac{3051 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{15006250 \left(x +\frac{3}{2}\right)}+\frac{1017 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{7503125}"," ",0,"-13/5600/(x+3/2)^5*(-9*x+3*(x+3/2)^2-19/4)^(3/2)-23/14000/(x+3/2)^4*(-9*x+3*(x+3/2)^2-19/4)^(3/2)-43/49000/(x+3/2)^3*(-9*x+3*(x+3/2)^2-19/4)^(3/2)-339/857500/(x+3/2)^2*(-9*x+3*(x+3/2)^2-19/4)^(3/2)-3051/15006250/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(3/2)+1017/7503125*(-36*x+12*(x+3/2)^2-19)^(1/2)-1017/7503125*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))+9153/15006250*(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x","A"
1367,1,191,121,0.067000," ","int((5-x)*(3*x^2+2)^(1/2)/(2*x+3)^7,x)","\frac{27459 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\, x}{262609375}-\frac{6102 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{262609375}-\frac{13 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{13440 \left(x +\frac{3}{2}\right)^{6}}-\frac{281 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{392000 \left(x +\frac{3}{2}\right)^{5}}-\frac{111 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{280000 \left(x +\frac{3}{2}\right)^{4}}-\frac{1207 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{6860000 \left(x +\frac{3}{2}\right)^{3}}-\frac{1017 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{15006250 \left(x +\frac{3}{2}\right)^{2}}-\frac{9153 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{262609375 \left(x +\frac{3}{2}\right)}+\frac{6102 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{262609375}"," ",0,"-13/13440/(x+3/2)^6*(-9*x+3*(x+3/2)^2-19/4)^(3/2)-281/392000/(x+3/2)^5*(-9*x+3*(x+3/2)^2-19/4)^(3/2)-111/280000/(x+3/2)^4*(-9*x+3*(x+3/2)^2-19/4)^(3/2)-1207/6860000/(x+3/2)^3*(-9*x+3*(x+3/2)^2-19/4)^(3/2)-1017/15006250/(x+3/2)^2*(-9*x+3*(x+3/2)^2-19/4)^(3/2)-9153/262609375/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(3/2)+6102/262609375*(-36*x+12*(x+3/2)^2-19)^(1/2)-6102/262609375*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))+27459/262609375*(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x","A"
1368,1,103,107,0.053000," ","int((5-x)*(2*x+3)^4*(3*x^2+2)^(3/2),x)","-\frac{16 \left(3 x^{2}+2\right)^{\frac{5}{2}} x^{4}}{27}-\frac{2 \left(3 x^{2}+2\right)^{\frac{5}{2}} x^{3}}{3}+\frac{7256 \left(3 x^{2}+2\right)^{\frac{5}{2}} x^{2}}{567}+\frac{434 \left(3 x^{2}+2\right)^{\frac{5}{2}} x}{9}+\frac{2777 \left(3 x^{2}+2\right)^{\frac{3}{2}} x}{36}+\frac{2777 \sqrt{3 x^{2}+2}\, x}{12}+\frac{2777 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{18}+\frac{537409 \left(3 x^{2}+2\right)^{\frac{5}{2}}}{8505}"," ",0,"-16/27*x^4*(3*x^2+2)^(5/2)+7256/567*x^2*(3*x^2+2)^(5/2)+537409/8505*(3*x^2+2)^(5/2)-2/3*x^3*(3*x^2+2)^(5/2)+434/9*x*(3*x^2+2)^(5/2)+2777/36*(3*x^2+2)^(3/2)*x+2777/12*(3*x^2+2)^(1/2)*x+2777/18*arcsinh(1/2*6^(1/2)*x)*3^(1/2)","A"
1369,1,89,89,0.059000," ","int((5-x)*(2*x+3)^3*(3*x^2+2)^(3/2),x)","-\frac{\left(3 x^{2}+2\right)^{\frac{5}{2}} x^{3}}{3}+\frac{4 \left(3 x^{2}+2\right)^{\frac{5}{2}} x^{2}}{21}+\frac{64 \left(3 x^{2}+2\right)^{\frac{5}{2}} x}{9}+\frac{1087 \left(3 x^{2}+2\right)^{\frac{3}{2}} x}{36}+\frac{1087 \sqrt{3 x^{2}+2}\, x}{12}+\frac{1087 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{18}+\frac{5087 \left(3 x^{2}+2\right)^{\frac{5}{2}}}{315}"," ",0,"-1/3*(3*x^2+2)^(5/2)*x^3+64/9*(3*x^2+2)^(5/2)*x+1087/36*(3*x^2+2)^(3/2)*x+1087/12*(3*x^2+2)^(1/2)*x+1087/18*arcsinh(1/2*6^(1/2)*x)*3^(1/2)+4/21*(3*x^2+2)^(5/2)*x^2+5087/315*(3*x^2+2)^(5/2)","A"
1370,1,75,71,0.061000," ","int((5-x)*(2*x+3)^2*(3*x^2+2)^(3/2),x)","-\frac{4 \left(3 x^{2}+2\right)^{\frac{5}{2}} x^{2}}{21}+\frac{4 \left(3 x^{2}+2\right)^{\frac{5}{2}} x}{9}+\frac{397 \left(3 x^{2}+2\right)^{\frac{3}{2}} x}{36}+\frac{397 \sqrt{3 x^{2}+2}\, x}{12}+\frac{397 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{18}+\frac{1087 \left(3 x^{2}+2\right)^{\frac{5}{2}}}{315}"," ",0,"-4/21*(3*x^2+2)^(5/2)*x^2+1087/315*(3*x^2+2)^(5/2)+4/9*(3*x^2+2)^(5/2)*x+397/36*(3*x^2+2)^(3/2)*x+397/12*(3*x^2+2)^(1/2)*x+397/18*arcsinh(1/2*6^(1/2)*x)*3^(1/2)","A"
1371,1,61,53,0.050000," ","int((5-x)*(2*x+3)*(3*x^2+2)^(3/2),x)","-\frac{\left(3 x^{2}+2\right)^{\frac{5}{2}} x}{9}+\frac{137 \left(3 x^{2}+2\right)^{\frac{3}{2}} x}{36}+\frac{137 \sqrt{3 x^{2}+2}\, x}{12}+\frac{137 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{18}+\frac{7 \left(3 x^{2}+2\right)^{\frac{5}{2}}}{15}"," ",0,"-1/9*(3*x^2+2)^(5/2)*x+137/36*(3*x^2+2)^(3/2)*x+137/12*(3*x^2+2)^(1/2)*x+137/18*arcsinh(1/2*6^(1/2)*x)*3^(1/2)+7/15*(3*x^2+2)^(5/2)","A"
1372,1,49,48,0.043000," ","int((5-x)*(3*x^2+2)^(3/2),x)","\frac{5 \left(3 x^{2}+2\right)^{\frac{3}{2}} x}{4}+\frac{15 \sqrt{3 x^{2}+2}\, x}{4}+\frac{5 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{2}-\frac{\left(3 x^{2}+2\right)^{\frac{5}{2}}}{15}"," ",0,"5/4*(3*x^2+2)^(3/2)*x-1/15*(3*x^2+2)^(5/2)+5/2*arcsinh(1/2*6^(1/2)*x)*3^(1/2)+15/4*(3*x^2+2)^(1/2)*x","A"
1373,1,117,70,0.047000," ","int((5-x)*(3*x^2+2)^(3/2)/(2*x+3),x)","-\frac{\left(3 x^{2}+2\right)^{\frac{3}{2}} x}{8}-\frac{3 \sqrt{3 x^{2}+2}\, x}{8}-\frac{117 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\, x}{16}-\frac{1529 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{32}-\frac{455 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{32}+\frac{13 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{12}+\frac{455 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{32}"," ",0,"-1/8*(3*x^2+2)^(3/2)*x-3/8*(3*x^2+2)^(1/2)*x-1529/32*arcsinh(1/2*6^(1/2)*x)*3^(1/2)+13/12*(-9*x+3*(x+3/2)^2-19/4)^(3/2)-117/16*(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x+455/32*(-36*x+12*(x+3/2)^2-19)^(1/2)-455/32*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))","A"
1374,1,131,75,0.049000," ","int((5-x)*(3*x^2+2)^(3/2)/(2*x+3)^2,x)","\frac{63 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\, x}{8}+\frac{39 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}} x}{70}+\frac{663 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{16}+\frac{193 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{16}-\frac{13 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{70 \left(x +\frac{3}{2}\right)}-\frac{193 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{210}-\frac{193 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{16}"," ",0,"-13/70/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(5/2)-193/210*(-9*x+3*(x+3/2)^2-19/4)^(3/2)+63/8*(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x+663/16*arcsinh(1/2*6^(1/2)*x)*3^(1/2)-193/16*(-36*x+12*(x+3/2)^2-19)^(1/2)+193/16*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))+39/70*x*(-9*x+3*(x+3/2)^2-19/4)^(3/2)","A"
1375,1,152,82,0.052000," ","int((5-x)*(3*x^2+2)^(3/2)/(2*x+3)^3,x)","-\frac{171 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\, x}{70}-\frac{561 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}} x}{4900}-\frac{111 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{8}-\frac{1143 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{280}-\frac{13 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{280 \left(x +\frac{3}{2}\right)^{2}}+\frac{187 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{4900 \left(x +\frac{3}{2}\right)}+\frac{381 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{1225}+\frac{1143 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{280}"," ",0,"-13/280/(x+3/2)^2*(-9*x+3*(x+3/2)^2-19/4)^(5/2)+187/4900/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(5/2)+381/1225*(-9*x+3*(x+3/2)^2-19/4)^(3/2)-171/70*(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x-111/8*arcsinh(1/2*6^(1/2)*x)*3^(1/2)+1143/280*(-36*x+12*(x+3/2)^2-19)^(1/2)-1143/280*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))-561/4900*(-9*x+3*(x+3/2)^2-19/4)^(3/2)*x","A"
1376,1,173,84,0.055000," ","int((5-x)*(3*x^2+2)^(3/2)/(2*x+3)^4,x)","\frac{3933 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\, x}{9800}+\frac{1338 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}} x}{42875}+\frac{33 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{16}+\frac{11727 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{19600}-\frac{\left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{2450 \left(x +\frac{3}{2}\right)^{2}}-\frac{446 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{42875 \left(x +\frac{3}{2}\right)}-\frac{3909 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{85750}-\frac{11727 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{19600}-\frac{13 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{840 \left(x +\frac{3}{2}\right)^{3}}"," ",0,"-1/2450/(x+3/2)^2*(-9*x+3*(x+3/2)^2-19/4)^(5/2)-446/42875/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(5/2)-3909/85750*(-9*x+3*(x+3/2)^2-19/4)^(3/2)+3933/9800*(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x+33/16*arcsinh(1/2*6^(1/2)*x)*3^(1/2)-11727/19600*(-36*x+12*(x+3/2)^2-19)^(1/2)+11727/19600*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))+1338/42875*(-9*x+3*(x+3/2)^2-19/4)^(3/2)*x-13/840/(x+3/2)^3*(-9*x+3*(x+3/2)^2-19/4)^(5/2)","B"
1377,1,194,84,0.066000," ","int((5-x)*(3*x^2+2)^(3/2)/(2*x+3)^5,x)","-\frac{7227 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\, x}{686000}+\frac{17337 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}} x}{12005000}-\frac{3 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{32}-\frac{39663 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{1372000}-\frac{211 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{117600 \left(x +\frac{3}{2}\right)^{3}}-\frac{999 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{686000 \left(x +\frac{3}{2}\right)^{2}}-\frac{5779 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{12005000 \left(x +\frac{3}{2}\right)}+\frac{13221 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{6002500}+\frac{39663 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{1372000}-\frac{13 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{2240 \left(x +\frac{3}{2}\right)^{4}}"," ",0,"-211/117600/(x+3/2)^3*(-9*x+3*(x+3/2)^2-19/4)^(5/2)-999/686000/(x+3/2)^2*(-9*x+3*(x+3/2)^2-19/4)^(5/2)-5779/12005000/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(5/2)+13221/6002500*(-9*x+3*(x+3/2)^2-19/4)^(3/2)-7227/686000*(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x-3/32*arcsinh(1/2*6^(1/2)*x)*3^(1/2)+39663/1372000*(-36*x+12*(x+3/2)^2-19)^(1/2)-39663/1372000*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))+17337/12005000*(-9*x+3*(x+3/2)^2-19/4)^(3/2)*x-13/2240/(x+3/2)^4*(-9*x+3*(x+3/2)^2-19/4)^(5/2)","B"
1378,1,203,90,0.070000," ","int((5-x)*(3*x^2+2)^(3/2)/(2*x+3)^6,x)","\frac{9963 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\, x}{6002500}+\frac{129519 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}} x}{210087500}-\frac{1107 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{3001250}-\frac{13 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{5600 \left(x +\frac{3}{2}\right)^{5}}-\frac{41 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{39200 \left(x +\frac{3}{2}\right)^{4}}-\frac{369 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{686000 \left(x +\frac{3}{2}\right)^{3}}-\frac{3813 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{12005000 \left(x +\frac{3}{2}\right)^{2}}-\frac{43173 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{210087500 \left(x +\frac{3}{2}\right)}+\frac{1476 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{52521875}+\frac{1107 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{3001250}"," ",0,"-13/5600/(x+3/2)^5*(-9*x+3*(x+3/2)^2-19/4)^(5/2)-41/39200/(x+3/2)^4*(-9*x+3*(x+3/2)^2-19/4)^(5/2)-369/686000/(x+3/2)^3*(-9*x+3*(x+3/2)^2-19/4)^(5/2)-3813/12005000/(x+3/2)^2*(-9*x+3*(x+3/2)^2-19/4)^(5/2)-43173/210087500/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(5/2)+1476/52521875*(-9*x+3*(x+3/2)^2-19/4)^(3/2)+9963/6002500*(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x+1107/3001250*(-36*x+12*(x+3/2)^2-19)^(1/2)-1107/3001250*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))+129519/210087500*(-9*x+3*(x+3/2)^2-19/4)^(3/2)*x","B"
1379,1,224,108,0.065000," ","int((5-x)*(3*x^2+2)^(3/2)/(2*x+3)^7,x)","\frac{243 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\, x}{612500}+\frac{3159 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}} x}{21437500}-\frac{27 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{306250}-\frac{13 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{13440 \left(x +\frac{3}{2}\right)^{6}}-\frac{29 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{56000 \left(x +\frac{3}{2}\right)^{5}}-\frac{\left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{4000 \left(x +\frac{3}{2}\right)^{4}}-\frac{9 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{70000 \left(x +\frac{3}{2}\right)^{3}}-\frac{93 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{1225000 \left(x +\frac{3}{2}\right)^{2}}-\frac{1053 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{21437500 \left(x +\frac{3}{2}\right)}+\frac{36 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{5359375}+\frac{27 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{306250}"," ",0,"-13/13440/(x+3/2)^6*(-9*x+3*(x+3/2)^2-19/4)^(5/2)-29/56000/(x+3/2)^5*(-9*x+3*(x+3/2)^2-19/4)^(5/2)-1/4000/(x+3/2)^4*(-9*x+3*(x+3/2)^2-19/4)^(5/2)-9/70000/(x+3/2)^3*(-9*x+3*(x+3/2)^2-19/4)^(5/2)-93/1225000/(x+3/2)^2*(-9*x+3*(x+3/2)^2-19/4)^(5/2)-1053/21437500/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(5/2)+36/5359375*(-9*x+3*(x+3/2)^2-19/4)^(3/2)+243/612500*(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x+27/306250*(-36*x+12*(x+3/2)^2-19)^(1/2)-27/306250*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))+3159/21437500*(-9*x+3*(x+3/2)^2-19/4)^(3/2)*x","B"
1380,1,245,126,0.082000," ","int((5-x)*(3*x^2+2)^(3/2)/(2*x+3)^8,x)","\frac{653427 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\, x}{7353062500}+\frac{8494551 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}} x}{257357187500}-\frac{72603 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{3676531250}-\frac{101 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{411600 \left(x +\frac{3}{2}\right)^{6}}-\frac{411 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{3430000 \left(x +\frac{3}{2}\right)^{5}}-\frac{2689 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{48020000 \left(x +\frac{3}{2}\right)^{4}}-\frac{24201 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{840350000 \left(x +\frac{3}{2}\right)^{3}}-\frac{250077 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{14706125000 \left(x +\frac{3}{2}\right)^{2}}-\frac{2831517 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{257357187500 \left(x +\frac{3}{2}\right)}+\frac{96804 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{64339296875}+\frac{72603 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{3676531250}-\frac{13 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{31360 \left(x +\frac{3}{2}\right)^{7}}"," ",0,"-101/411600/(x+3/2)^6*(-9*x+3*(x+3/2)^2-19/4)^(5/2)-411/3430000/(x+3/2)^5*(-9*x+3*(x+3/2)^2-19/4)^(5/2)-2689/48020000/(x+3/2)^4*(-9*x+3*(x+3/2)^2-19/4)^(5/2)-24201/840350000/(x+3/2)^3*(-9*x+3*(x+3/2)^2-19/4)^(5/2)-250077/14706125000/(x+3/2)^2*(-9*x+3*(x+3/2)^2-19/4)^(5/2)-2831517/257357187500/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(5/2)+96804/64339296875*(-9*x+3*(x+3/2)^2-19/4)^(3/2)+653427/7353062500*(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x+72603/3676531250*(-36*x+12*(x+3/2)^2-19)^(1/2)-72603/3676531250*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))+8494551/257357187500*(-9*x+3*(x+3/2)^2-19/4)^(3/2)*x-13/31360/(x+3/2)^7*(-9*x+3*(x+3/2)^2-19/4)^(5/2)","A"
1381,1,115,119,0.073000," ","int((5-x)*(2*x+3)^4*(3*x^2+2)^(5/2),x)","-\frac{16 \left(3 x^{2}+2\right)^{\frac{7}{2}} x^{4}}{33}-\frac{8 \left(3 x^{2}+2\right)^{\frac{7}{2}} x^{3}}{15}+\frac{8840 \left(3 x^{2}+2\right)^{\frac{7}{2}} x^{2}}{891}+\frac{542 \left(3 x^{2}+2\right)^{\frac{7}{2}} x}{15}+\frac{4991 \left(3 x^{2}+2\right)^{\frac{5}{2}} x}{90}+\frac{4991 \left(3 x^{2}+2\right)^{\frac{3}{2}} x}{36}+\frac{4991 \sqrt{3 x^{2}+2}\, x}{12}+\frac{4991 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{18}+\frac{122107 \left(3 x^{2}+2\right)^{\frac{7}{2}}}{2673}"," ",0,"-16/33*x^4*(3*x^2+2)^(7/2)+8840/891*x^2*(3*x^2+2)^(7/2)+122107/2673*(3*x^2+2)^(7/2)-8/15*x^3*(3*x^2+2)^(7/2)+542/15*x*(3*x^2+2)^(7/2)+4991/90*(3*x^2+2)^(5/2)*x+4991/36*(3*x^2+2)^(3/2)*x+4991/12*(3*x^2+2)^(1/2)*x+4991/18*arcsinh(1/2*6^(1/2)*x)*3^(1/2)","A"
1382,1,101,101,0.055000," ","int((5-x)*(2*x+3)^3*(3*x^2+2)^(5/2),x)","-\frac{4 \left(3 x^{2}+2\right)^{\frac{7}{2}} x^{3}}{15}+\frac{4 \left(3 x^{2}+2\right)^{\frac{7}{2}} x^{2}}{27}+\frac{319 \left(3 x^{2}+2\right)^{\frac{7}{2}} x}{60}+\frac{3731 \left(3 x^{2}+2\right)^{\frac{5}{2}} x}{180}+\frac{3731 \left(3 x^{2}+2\right)^{\frac{3}{2}} x}{72}+\frac{3731 \sqrt{3 x^{2}+2}\, x}{24}+\frac{3731 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{36}+\frac{935 \left(3 x^{2}+2\right)^{\frac{7}{2}}}{81}"," ",0,"-4/15*(3*x^2+2)^(7/2)*x^3+319/60*(3*x^2+2)^(7/2)*x+3731/180*(3*x^2+2)^(5/2)*x+3731/72*(3*x^2+2)^(3/2)*x+3731/24*(3*x^2+2)^(1/2)*x+3731/36*arcsinh(1/2*6^(1/2)*x)*3^(1/2)+4/27*(3*x^2+2)^(7/2)*x^2+935/81*(3*x^2+2)^(7/2)","A"
1383,1,87,83,0.050000," ","int((5-x)*(2*x+3)^2*(3*x^2+2)^(5/2),x)","-\frac{4 \left(3 x^{2}+2\right)^{\frac{7}{2}} x^{2}}{27}+\frac{\left(3 x^{2}+2\right)^{\frac{7}{2}} x}{3}+\frac{133 \left(3 x^{2}+2\right)^{\frac{5}{2}} x}{18}+\frac{665 \left(3 x^{2}+2\right)^{\frac{3}{2}} x}{36}+\frac{665 \sqrt{3 x^{2}+2}\, x}{12}+\frac{665 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{18}+\frac{199 \left(3 x^{2}+2\right)^{\frac{7}{2}}}{81}"," ",0,"-4/27*(3*x^2+2)^(7/2)*x^2+199/81*(3*x^2+2)^(7/2)+1/3*(3*x^2+2)^(7/2)*x+133/18*(3*x^2+2)^(5/2)*x+665/36*(3*x^2+2)^(3/2)*x+665/12*(3*x^2+2)^(1/2)*x+665/18*arcsinh(1/2*6^(1/2)*x)*3^(1/2)","A"
1384,1,73,65,0.047000," ","int((5-x)*(2*x+3)*(3*x^2+2)^(5/2),x)","-\frac{\left(3 x^{2}+2\right)^{\frac{7}{2}} x}{12}+\frac{91 \left(3 x^{2}+2\right)^{\frac{5}{2}} x}{36}+\frac{455 \left(3 x^{2}+2\right)^{\frac{3}{2}} x}{72}+\frac{455 \sqrt{3 x^{2}+2}\, x}{24}+\frac{455 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{36}+\frac{\left(3 x^{2}+2\right)^{\frac{7}{2}}}{3}"," ",0,"-1/12*(3*x^2+2)^(7/2)*x+91/36*(3*x^2+2)^(5/2)*x+455/72*(3*x^2+2)^(3/2)*x+455/24*(3*x^2+2)^(1/2)*x+455/36*arcsinh(1/2*6^(1/2)*x)*3^(1/2)+1/3*(3*x^2+2)^(7/2)","A"
1385,1,61,60,0.046000," ","int((5-x)*(3*x^2+2)^(5/2),x)","\frac{25 \left(3 x^{2}+2\right)^{\frac{3}{2}} x}{12}+\frac{5 \left(3 x^{2}+2\right)^{\frac{5}{2}} x}{6}+\frac{25 \sqrt{3 x^{2}+2}\, x}{4}+\frac{25 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{6}-\frac{\left(3 x^{2}+2\right)^{\frac{7}{2}}}{21}"," ",0,"25/12*(3*x^2+2)^(3/2)*x+5/6*(3*x^2+2)^(5/2)*x-1/21*(3*x^2+2)^(7/2)+25/6*arcsinh(1/2*6^(1/2)*x)*3^(1/2)+25/4*(3*x^2+2)^(1/2)*x","A"
1386,1,162,86,0.051000," ","int((5-x)*(3*x^2+2)^(5/2)/(2*x+3),x)","-\frac{\left(3 x^{2}+2\right)^{\frac{5}{2}} x}{12}-\frac{5 \left(3 x^{2}+2\right)^{\frac{3}{2}} x}{24}-\frac{5 \sqrt{3 x^{2}+2}\, x}{8}-\frac{117 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}} x}{32}-\frac{4797 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\, x}{64}-\frac{162673 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{384}-\frac{15925 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{128}+\frac{13 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{20}+\frac{455 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{48}+\frac{15925 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{128}"," ",0,"-1/12*(3*x^2+2)^(5/2)*x-5/24*(3*x^2+2)^(3/2)*x-5/8*(3*x^2+2)^(1/2)*x-162673/384*arcsinh(1/2*6^(1/2)*x)*3^(1/2)+13/20*(-9*x+3*(x+3/2)^2-19/4)^(5/2)-117/32*(-9*x+3*(x+3/2)^2-19/4)^(3/2)*x-4797/64*(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x+455/48*(-9*x+3*(x+3/2)^2-19/4)^(3/2)+15925/128*(-36*x+12*(x+3/2)^2-19)^(1/2)-15925/128*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))","A"
1387,1,164,91,0.054000," ","int((5-x)*(3*x^2+2)^(5/2)/(2*x+3)^2,x)","\frac{51 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}} x}{8}+\frac{1701 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\, x}{16}+\frac{39 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}} x}{70}+\frac{18543 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{32}+\frac{5425 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{32}-\frac{13 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{70 \left(x +\frac{3}{2}\right)}-\frac{31 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{35}-\frac{155 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{12}-\frac{5425 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{32}"," ",0,"-13/70/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-31/35*(-9*x+3*(x+3/2)^2-19/4)^(5/2)+51/8*(-9*x+3*(x+3/2)^2-19/4)^(3/2)*x+1701/16*(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x+18543/32*arcsinh(1/2*6^(1/2)*x)*3^(1/2)-155/12*(-9*x+3*(x+3/2)^2-19/4)^(3/2)-5425/32*(-36*x+12*(x+3/2)^2-19)^(1/2)+5425/32*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))+39/70*x*(-9*x+3*(x+3/2)^2-19/4)^(5/2)","A"
1388,1,185,100,0.064000," ","int((5-x)*(3*x^2+2)^(5/2)/(2*x+3)^3,x)","-\frac{807 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}} x}{224}-\frac{4005 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\, x}{64}-\frac{1263 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}} x}{4900}-\frac{43995 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{128}-\frac{12885 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{128}-\frac{13 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{280 \left(x +\frac{3}{2}\right)^{2}}+\frac{421 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{4900 \left(x +\frac{3}{2}\right)}+\frac{2577 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{4900}+\frac{859 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{112}+\frac{12885 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{128}"," ",0,"-13/280/(x+3/2)^2*(-9*x+3*(x+3/2)^2-19/4)^(7/2)+421/4900/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(7/2)+2577/4900*(-9*x+3*(x+3/2)^2-19/4)^(5/2)-807/224*(-9*x+3*(x+3/2)^2-19/4)^(3/2)*x-4005/64*(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x-43995/128*arcsinh(1/2*6^(1/2)*x)*3^(1/2)+859/112*(-9*x+3*(x+3/2)^2-19/4)^(3/2)+12885/128*(-36*x+12*(x+3/2)^2-19)^(1/2)-12885/128*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))-1263/4900*(-9*x+3*(x+3/2)^2-19/4)^(5/2)*x","A"
1389,1,206,105,0.066000," ","int((5-x)*(3*x^2+2)^(5/2)/(2*x+3)^4,x)","\frac{591 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}} x}{490}+\frac{1143 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\, x}{56}+\frac{8457 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}} x}{85750}+\frac{1785 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{16}+\frac{3657 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{112}+\frac{37 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{4900 \left(x +\frac{3}{2}\right)^{2}}-\frac{2819 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{85750 \left(x +\frac{3}{2}\right)}-\frac{7314 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{42875}-\frac{1219 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{490}-\frac{3657 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{112}-\frac{13 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{840 \left(x +\frac{3}{2}\right)^{3}}"," ",0,"37/4900/(x+3/2)^2*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-2819/85750/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-7314/42875*(-9*x+3*(x+3/2)^2-19/4)^(5/2)+591/490*(-9*x+3*(x+3/2)^2-19/4)^(3/2)*x+1143/56*(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x+1785/16*arcsinh(1/2*6^(1/2)*x)*3^(1/2)-1219/490*(-9*x+3*(x+3/2)^2-19/4)^(3/2)-3657/112*(-36*x+12*(x+3/2)^2-19)^(1/2)+3657/112*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))+8457/85750*(-9*x+3*(x+3/2)^2-19/4)^(5/2)*x-13/840/(x+3/2)^3*(-9*x+3*(x+3/2)^2-19/4)^(7/2)","A"
1390,1,227,107,0.066000," ","int((5-x)*(3*x^2+2)^(5/2)/(2*x+3)^5,x)","-\frac{58629 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}} x}{274400}-\frac{58491 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\, x}{15680}-\frac{89151 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}} x}{6002500}-\frac{2625 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{128}-\frac{188379 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{31360}+\frac{23 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{117600 \left(x +\frac{3}{2}\right)^{3}}-\frac{1041 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{343000 \left(x +\frac{3}{2}\right)^{2}}+\frac{29717 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{6002500 \left(x +\frac{3}{2}\right)}+\frac{188379 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{6002500}+\frac{62793 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{137200}+\frac{188379 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{31360}-\frac{13 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{2240 \left(x +\frac{3}{2}\right)^{4}}"," ",0,"23/117600/(x+3/2)^3*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-1041/343000/(x+3/2)^2*(-9*x+3*(x+3/2)^2-19/4)^(7/2)+29717/6002500/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(7/2)+188379/6002500*(-9*x+3*(x+3/2)^2-19/4)^(5/2)-58629/274400*(-9*x+3*(x+3/2)^2-19/4)^(3/2)*x-58491/15680*(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x-2625/128*arcsinh(1/2*6^(1/2)*x)*3^(1/2)+62793/137200*(-9*x+3*(x+3/2)^2-19/4)^(3/2)+188379/31360*(-36*x+12*(x+3/2)^2-19)^(1/2)-188379/31360*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))-89151/6002500*(-9*x+3*(x+3/2)^2-19/4)^(5/2)*x-13/2240/(x+3/2)^4*(-9*x+3*(x+3/2)^2-19/4)^(7/2)","B"
1391,1,248,107,0.057000," ","int((5-x)*(3*x^2+2)^(5/2)/(2*x+3)^6,x)","\frac{1131399 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}} x}{525218750}+\frac{267723 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}} x}{12005000}+\frac{248967 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\, x}{686000}+\frac{63 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{32}+\frac{789723 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{1372000}-\frac{11 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{24500 \left(x +\frac{3}{2}\right)^{4}}-\frac{13 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{5600 \left(x +\frac{3}{2}\right)^{5}}-\frac{521 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{857500 \left(x +\frac{3}{2}\right)^{3}}-\frac{2241 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{30012500 \left(x +\frac{3}{2}\right)^{2}}-\frac{377133 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{525218750 \left(x +\frac{3}{2}\right)}-\frac{789723 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{262609375}-\frac{263241 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{6002500}-\frac{789723 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{1372000}"," ",0,"-11/24500/(x+3/2)^4*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-13/5600/(x+3/2)^5*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-521/857500/(x+3/2)^3*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-2241/30012500/(x+3/2)^2*(-9*x+3*(x+3/2)^2-19/4)^(7/2)+1131399/525218750*(-9*x+3*(x+3/2)^2-19/4)^(5/2)*x-377133/525218750/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(7/2)+267723/12005000*(-9*x+3*(x+3/2)^2-19/4)^(3/2)*x+248967/686000*(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x+789723/1372000*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))+63/32*arcsinh(1/2*6^(1/2)*x)*3^(1/2)-789723/262609375*(-9*x+3*(x+3/2)^2-19/4)^(5/2)-263241/6002500*(-9*x+3*(x+3/2)^2-19/4)^(3/2)-789723/1372000*(-36*x+12*(x+3/2)^2-19)^(1/2)","B"
1392,1,269,107,0.068000," ","int((5-x)*(3*x^2+2)^(5/2)/(2*x+3)^7,x)","\frac{123129 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}} x}{1470612500}-\frac{27009 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}} x}{67228000}-\frac{45711 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\, x}{3841600}-\frac{9 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{128}-\frac{159759 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{7683200}-\frac{13 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{13440 \left(x +\frac{3}{2}\right)^{6}}-\frac{113 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{548800 \left(x +\frac{3}{2}\right)^{4}}-\frac{\left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{3136 \left(x +\frac{3}{2}\right)^{5}}-\frac{1039 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{9604000 \left(x +\frac{3}{2}\right)^{3}}-\frac{6561 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{84035000 \left(x +\frac{3}{2}\right)^{2}}-\frac{41043 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{1470612500 \left(x +\frac{3}{2}\right)}+\frac{159759 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{1470612500}+\frac{53253 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{33614000}+\frac{159759 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{7683200}"," ",0,"-13/13440/(x+3/2)^6*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-113/548800/(x+3/2)^4*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-1/3136/(x+3/2)^5*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-1039/9604000/(x+3/2)^3*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-6561/84035000/(x+3/2)^2*(-9*x+3*(x+3/2)^2-19/4)^(7/2)+123129/1470612500*(-9*x+3*(x+3/2)^2-19/4)^(5/2)*x-41043/1470612500/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-27009/67228000*(-9*x+3*(x+3/2)^2-19/4)^(3/2)*x-45711/3841600*(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x-159759/7683200*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))-9/128*arcsinh(1/2*6^(1/2)*x)*3^(1/2)+159759/1470612500*(-9*x+3*(x+3/2)^2-19/4)^(5/2)+53253/33614000*(-9*x+3*(x+3/2)^2-19/4)^(3/2)+159759/7683200*(-36*x+12*(x+3/2)^2-19)^(1/2)","B"
1393,1,278,113,0.074000," ","int((5-x)*(3*x^2+2)^(5/2)/(2*x+3)^8,x)","\frac{4612869 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}} x}{128678593750}+\frac{129519 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}} x}{1470612500}+\frac{9963 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\, x}{42017500}-\frac{1107 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{21008750}-\frac{41 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{235200 \left(x +\frac{3}{2}\right)^{6}}-\frac{1189 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{24010000 \left(x +\frac{3}{2}\right)^{4}}-\frac{123 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{1372000 \left(x +\frac{3}{2}\right)^{5}}-\frac{12177 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{420175000 \left(x +\frac{3}{2}\right)^{3}}-\frac{132471 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{7353062500 \left(x +\frac{3}{2}\right)^{2}}-\frac{1537623 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{128678593750 \left(x +\frac{3}{2}\right)}+\frac{17712 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{64339296875}+\frac{1476 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{367653125}+\frac{1107 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{21008750}-\frac{13 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{31360 \left(x +\frac{3}{2}\right)^{7}}"," ",0,"-41/235200/(x+3/2)^6*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-1189/24010000/(x+3/2)^4*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-123/1372000/(x+3/2)^5*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-12177/420175000/(x+3/2)^3*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-132471/7353062500/(x+3/2)^2*(-9*x+3*(x+3/2)^2-19/4)^(7/2)+4612869/128678593750*(-9*x+3*(x+3/2)^2-19/4)^(5/2)*x-1537623/128678593750/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(7/2)+129519/1470612500*(-9*x+3*(x+3/2)^2-19/4)^(3/2)*x+9963/42017500*(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x-1107/21008750*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))+17712/64339296875*(-9*x+3*(x+3/2)^2-19/4)^(5/2)+1476/367653125*(-9*x+3*(x+3/2)^2-19/4)^(3/2)+1107/21008750*(-36*x+12*(x+3/2)^2-19)^(1/2)-13/31360/(x+3/2)^7*(-9*x+3*(x+3/2)^2-19/4)^(7/2)","B"
1394,1,299,131,0.086000," ","int((5-x)*(3*x^2+2)^(5/2)/(2*x+3)^9,x)","\frac{78643791 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}} x}{9007501562500}+\frac{2208141 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}} x}{102942875000}+\frac{169857 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\, x}{2941225000}-\frac{18873 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{1470612500}-\frac{233 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{5488000 \left(x +\frac{3}{2}\right)^{6}}-\frac{13 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{71680 \left(x +\frac{3}{2}\right)^{8}}-\frac{20271 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{1680700000 \left(x +\frac{3}{2}\right)^{4}}-\frac{2097 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{96040000 \left(x +\frac{3}{2}\right)^{5}}-\frac{207603 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{29412250000 \left(x +\frac{3}{2}\right)^{3}}-\frac{2258469 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{514714375000 \left(x +\frac{3}{2}\right)^{2}}-\frac{26214597 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{9007501562500 \left(x +\frac{3}{2}\right)}+\frac{150984 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{2251875390625}+\frac{12582 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{12867859375}+\frac{18873 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{1470612500}-\frac{773 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{8780800 \left(x +\frac{3}{2}\right)^{7}}"," ",0,"-233/5488000/(x+3/2)^6*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-13/71680/(x+3/2)^8*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-20271/1680700000/(x+3/2)^4*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-2097/96040000/(x+3/2)^5*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-207603/29412250000/(x+3/2)^3*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-2258469/514714375000/(x+3/2)^2*(-9*x+3*(x+3/2)^2-19/4)^(7/2)+78643791/9007501562500*(-9*x+3*(x+3/2)^2-19/4)^(5/2)*x-26214597/9007501562500/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(7/2)+2208141/102942875000*(-9*x+3*(x+3/2)^2-19/4)^(3/2)*x+169857/2941225000*(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x-18873/1470612500*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))+150984/2251875390625*(-9*x+3*(x+3/2)^2-19/4)^(5/2)+12582/12867859375*(-9*x+3*(x+3/2)^2-19/4)^(3/2)+18873/1470612500*(-36*x+12*(x+3/2)^2-19)^(1/2)-773/8780800/(x+3/2)^7*(-9*x+3*(x+3/2)^2-19/4)^(7/2)","B"
1395,1,320,149,0.102000," ","int((5-x)*(3*x^2+2)^(5/2)/(2*x+3)^10,x)","\frac{320313123 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}} x}{157631277343750}+\frac{8993673 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}} x}{1801500312500}+\frac{691821 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\, x}{51471437500}-\frac{76869 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{25735718750}-\frac{949 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{96040000 \left(x +\frac{3}{2}\right)^{6}}-\frac{27 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{627200 \left(x +\frac{3}{2}\right)^{8}}-\frac{13 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{161280 \left(x +\frac{3}{2}\right)^{9}}-\frac{82563 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{29412250000 \left(x +\frac{3}{2}\right)^{4}}-\frac{8541 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{1680700000 \left(x +\frac{3}{2}\right)^{5}}-\frac{845559 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{514714375000 \left(x +\frac{3}{2}\right)^{3}}-\frac{9198657 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{9007501562500 \left(x +\frac{3}{2}\right)^{2}}-\frac{106771041 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{157631277343750 \left(x +\frac{3}{2}\right)}+\frac{1229904 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{78815638671875}+\frac{102492 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{450375078125}+\frac{76869 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{25735718750}-\frac{4741 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{230496000 \left(x +\frac{3}{2}\right)^{7}}"," ",0,"-949/96040000/(x+3/2)^6*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-27/627200/(x+3/2)^8*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-13/161280/(x+3/2)^9*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-82563/29412250000/(x+3/2)^4*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-8541/1680700000/(x+3/2)^5*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-845559/514714375000/(x+3/2)^3*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-9198657/9007501562500/(x+3/2)^2*(-9*x+3*(x+3/2)^2-19/4)^(7/2)+320313123/157631277343750*(-9*x+3*(x+3/2)^2-19/4)^(5/2)*x-106771041/157631277343750/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(7/2)+8993673/1801500312500*(-9*x+3*(x+3/2)^2-19/4)^(3/2)*x+691821/51471437500*(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x-76869/25735718750*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))+1229904/78815638671875*(-9*x+3*(x+3/2)^2-19/4)^(5/2)+102492/450375078125*(-9*x+3*(x+3/2)^2-19/4)^(3/2)+76869/25735718750*(-36*x+12*(x+3/2)^2-19)^(1/2)-4741/230496000/(x+3/2)^7*(-9*x+3*(x+3/2)^2-19/4)^(7/2)","B"
1396,1,341,167,0.150000," ","int((5-x)*(3*x^2+2)^(5/2)/(2*x+3)^11,x)","\frac{24718114791 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}} x}{55170947070312500}+\frac{694029141 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}} x}{630525109375000}+\frac{53386857 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\, x}{18015003125000}-\frac{5931873 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{9007501562500}-\frac{73233 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{33614000000 \left(x +\frac{3}{2}\right)^{6}}-\frac{4393 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{439040000 \left(x +\frac{3}{2}\right)^{8}}-\frac{1171 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{56448000 \left(x +\frac{3}{2}\right)^{9}}-\frac{6371271 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{10294287500000 \left(x +\frac{3}{2}\right)^{4}}-\frac{659097 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{588245000000 \left(x +\frac{3}{2}\right)^{5}}-\frac{65250603 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{180150031250000 \left(x +\frac{3}{2}\right)^{3}}-\frac{709847469 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{3152625546875000 \left(x +\frac{3}{2}\right)^{2}}-\frac{8239371597 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{55170947070312500 \left(x +\frac{3}{2}\right)}+\frac{47454984 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{13792736767578125}+\frac{3954582 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{78815638671875}+\frac{5931873 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{9007501562500}-\frac{739619 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{161347200000 \left(x +\frac{3}{2}\right)^{7}}-\frac{13 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{358400 \left(x +\frac{3}{2}\right)^{10}}"," ",0,"-73233/33614000000/(x+3/2)^6*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-4393/439040000/(x+3/2)^8*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-1171/56448000/(x+3/2)^9*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-6371271/10294287500000/(x+3/2)^4*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-659097/588245000000/(x+3/2)^5*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-65250603/180150031250000/(x+3/2)^3*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-709847469/3152625546875000/(x+3/2)^2*(-9*x+3*(x+3/2)^2-19/4)^(7/2)+24718114791/55170947070312500*(-9*x+3*(x+3/2)^2-19/4)^(5/2)*x-8239371597/55170947070312500/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(7/2)+694029141/630525109375000*(-9*x+3*(x+3/2)^2-19/4)^(3/2)*x+53386857/18015003125000*(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x-5931873/9007501562500*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))+47454984/13792736767578125*(-9*x+3*(x+3/2)^2-19/4)^(5/2)+3954582/78815638671875*(-9*x+3*(x+3/2)^2-19/4)^(3/2)+5931873/9007501562500*(-36*x+12*(x+3/2)^2-19)^(1/2)-739619/161347200000/(x+3/2)^7*(-9*x+3*(x+3/2)^2-19/4)^(7/2)-13/358400/(x+3/2)^10*(-9*x+3*(x+3/2)^2-19/4)^(7/2)","B"
1397,1,79,83,0.058000," ","int((5-x)*(2*x+3)^4/(3*x^2+2)^(1/2),x)","-\frac{16 \sqrt{3 x^{2}+2}\, x^{4}}{15}-\frac{4 \sqrt{3 x^{2}+2}\, x^{3}}{3}+\frac{4088 \sqrt{3 x^{2}+2}\, x^{2}}{135}+\frac{436 \sqrt{3 x^{2}+2}\, x}{3}+\frac{343 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{9}+\frac{118513 \sqrt{3 x^{2}+2}}{405}"," ",0,"-16/15*x^4*(3*x^2+2)^(1/2)+4088/135*x^2*(3*x^2+2)^(1/2)+118513/405*(3*x^2+2)^(1/2)-4/3*x^3*(3*x^2+2)^(1/2)+436/3*(3*x^2+2)^(1/2)*x+343/9*arcsinh(1/2*6^(1/2)*x)*3^(1/2)","A"
1398,1,65,65,0.061000," ","int((5-x)*(2*x+3)^3/(3*x^2+2)^(1/2),x)","-\frac{2 \sqrt{3 x^{2}+2}\, x^{3}}{3}+\frac{4 \sqrt{3 x^{2}+2}\, x^{2}}{9}+\frac{65 \sqrt{3 x^{2}+2}\, x}{3}+\frac{275 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{9}+\frac{2171 \sqrt{3 x^{2}+2}}{27}"," ",0,"-2/3*(3*x^2+2)^(1/2)*x^3+65/3*(3*x^2+2)^(1/2)*x+275/9*arcsinh(1/2*6^(1/2)*x)*3^(1/2)+4/9*(3*x^2+2)^(1/2)*x^2+2171/27*(3*x^2+2)^(1/2)","A"
1399,1,51,47,0.049000," ","int((5-x)*(2*x+3)^2/(3*x^2+2)^(1/2),x)","-\frac{4 \sqrt{3 x^{2}+2}\, x^{2}}{9}+\frac{4 \sqrt{3 x^{2}+2}\, x}{3}+\frac{127 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{9}+\frac{475 \sqrt{3 x^{2}+2}}{27}"," ",0,"-4/9*(3*x^2+2)^(1/2)*x^2+475/27*(3*x^2+2)^(1/2)+4/3*(3*x^2+2)^(1/2)*x+127/9*arcsinh(1/2*6^(1/2)*x)*3^(1/2)","A"
1400,1,37,29,0.049000," ","int((5-x)*(2*x+3)/(3*x^2+2)^(1/2),x)","-\frac{\sqrt{3 x^{2}+2}\, x}{3}+\frac{47 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{9}+\frac{7 \sqrt{3 x^{2}+2}}{3}"," ",0,"-1/3*(3*x^2+2)^(1/2)*x+47/9*arcsinh(1/2*6^(1/2)*x)*3^(1/2)+7/3*(3*x^2+2)^(1/2)","A"
1401,1,25,24,0.047000," ","int((5-x)/(3*x^2+2)^(1/2),x)","\frac{5 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{3}-\frac{\sqrt{3 x^{2}+2}}{3}"," ",0,"5/3*arcsinh(1/2*6^(1/2)*x)*3^(1/2)-1/3*(3*x^2+2)^(1/2)","A"
1402,1,44,38,0.051000," ","int((5-x)/(2*x+3)/(3*x^2+2)^(1/2),x)","-\frac{\sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{6}-\frac{13 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{70}"," ",0,"-1/6*arcsinh(1/2*6^(1/2)*x)*3^(1/2)-13/70*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))","A"
1403,1,53,44,0.057000," ","int((5-x)/(2*x+3)^2/(3*x^2+2)^(1/2),x)","-\frac{41 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{1225}-\frac{13 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{70 \left(x +\frac{3}{2}\right)}"," ",0,"-13/70/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(1/2)-41/1225*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))","A"
1404,1,74,62,0.058000," ","int((5-x)/(2*x+3)^3/(3*x^2+2)^(1/2),x)","-\frac{291 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{42875}-\frac{13 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{280 \left(x +\frac{3}{2}\right)^{2}}-\frac{281 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{4900 \left(x +\frac{3}{2}\right)}"," ",0,"-13/280/(x+3/2)^2*(-9*x+3*(x+3/2)^2-19/4)^(1/2)-281/4900/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(1/2)-291/42875*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))","A"
1405,1,95,80,0.055000," ","int((5-x)/(2*x+3)^4/(3*x^2+2)^(1/2),x)","-\frac{57 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{60025}-\frac{4 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{245 \left(x +\frac{3}{2}\right)^{2}}-\frac{5 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{343 \left(x +\frac{3}{2}\right)}-\frac{13 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{840 \left(x +\frac{3}{2}\right)^{3}}"," ",0,"-4/245/(x+3/2)^2*(-9*x+3*(x+3/2)^2-19/4)^(1/2)-5/343/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(1/2)-57/60025*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))-13/840/(x+3/2)^3*(-9*x+3*(x+3/2)^2-19/4)^(1/2)","A"
1406,1,116,98,0.069000," ","int((5-x)/(2*x+3)^5/(3*x^2+2)^(1/2),x)","\frac{27 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{1500625}-\frac{97 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{16800 \left(x +\frac{3}{2}\right)^{3}}-\frac{87 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{19600 \left(x +\frac{3}{2}\right)^{2}}-\frac{991 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{343000 \left(x +\frac{3}{2}\right)}-\frac{13 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{2240 \left(x +\frac{3}{2}\right)^{4}}"," ",0,"-97/16800/(x+3/2)^3*(-9*x+3*(x+3/2)^2-19/4)^(1/2)-87/19600/(x+3/2)^2*(-9*x+3*(x+3/2)^2-19/4)^(1/2)-991/343000/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(1/2)+27/1500625*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))-13/2240/(x+3/2)^4*(-9*x+3*(x+3/2)^2-19/4)^(1/2)","A"
1407,1,137,116,0.069000," ","int((5-x)/(2*x+3)^6/(3*x^2+2)^(1/2),x)","\frac{19737 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{262609375}-\frac{13 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{5600 \left(x +\frac{3}{2}\right)^{5}}-\frac{439 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{196000 \left(x +\frac{3}{2}\right)^{4}}-\frac{797 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{490000 \left(x +\frac{3}{2}\right)^{3}}-\frac{1611 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{1715000 \left(x +\frac{3}{2}\right)^{2}}-\frac{10023 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{30012500 \left(x +\frac{3}{2}\right)}"," ",0,"-13/5600/(x+3/2)^5*(-9*x+3*(x+3/2)^2-19/4)^(1/2)-439/196000/(x+3/2)^4*(-9*x+3*(x+3/2)^2-19/4)^(1/2)-797/490000/(x+3/2)^3*(-9*x+3*(x+3/2)^2-19/4)^(1/2)-1611/1715000/(x+3/2)^2*(-9*x+3*(x+3/2)^2-19/4)^(1/2)-10023/30012500/(x+3/2)*(-9*x+3*(x+3/2)^2-19/4)^(1/2)+19737/262609375*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))","A"
1408,1,79,70,0.058000," ","int((5-x)*(2*x+3)^4/(3*x^2+2)^(3/2),x)","-\frac{16 x^{4}}{9 \sqrt{3 x^{2}+2}}-\frac{8 x^{3}}{3 \sqrt{3 x^{2}+2}}+\frac{2504 x^{2}}{27 \sqrt{3 x^{2}+2}}-\frac{545 x}{6 \sqrt{3 x^{2}+2}}+\frac{880 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{9}-\frac{16957}{81 \sqrt{3 x^{2}+2}}"," ",0,"-16/9*x^4/(3*x^2+2)^(1/2)+2504/27*x^2/(3*x^2+2)^(1/2)-16957/81/(3*x^2+2)^(1/2)-8/3*x^3/(3*x^2+2)^(1/2)-545/6*x/(3*x^2+2)^(1/2)+880/9*arcsinh(1/2*6^(1/2)*x)*3^(1/2)","A"
1409,1,65,52,0.049000," ","int((5-x)*(2*x+3)^3/(3*x^2+2)^(3/2),x)","-\frac{4 x^{3}}{3 \sqrt{3 x^{2}+2}}+\frac{4 x^{2}}{3 \sqrt{3 x^{2}+2}}+\frac{137 x}{6 \sqrt{3 x^{2}+2}}+\frac{134 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{9}-\frac{713}{9 \sqrt{3 x^{2}+2}}"," ",0,"-4/3/(3*x^2+2)^(1/2)*x^3+137/6/(3*x^2+2)^(1/2)*x+134/9*arcsinh(1/2*6^(1/2)*x)*3^(1/2)+4/3/(3*x^2+2)^(1/2)*x^2-713/9/(3*x^2+2)^(1/2)","A"
1410,1,51,45,0.050000," ","int((5-x)*(2*x+3)^2/(3*x^2+2)^(3/2),x)","-\frac{4 x^{2}}{3 \sqrt{3 x^{2}+2}}+\frac{119 x}{6 \sqrt{3 x^{2}+2}}+\frac{8 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{9}-\frac{169}{9 \sqrt{3 x^{2}+2}}"," ",0,"-4/3/(3*x^2+2)^(1/2)*x^2-169/9/(3*x^2+2)^(1/2)+119/6/(3*x^2+2)^(1/2)*x+8/9*arcsinh(1/2*6^(1/2)*x)*3^(1/2)","A"
1411,1,37,29,0.051000," ","int((5-x)*(2*x+3)/(3*x^2+2)^(3/2),x)","\frac{49 x}{6 \sqrt{3 x^{2}+2}}-\frac{2 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{9}-\frac{7}{3 \sqrt{3 x^{2}+2}}"," ",0,"49/6/(3*x^2+2)^(1/2)*x-2/9*arcsinh(1/2*6^(1/2)*x)*3^(1/2)-7/3/(3*x^2+2)^(1/2)","A"
1412,1,17,16,0.042000," ","int((5-x)/(3*x^2+2)^(3/2),x)","\frac{15 x +2}{6 \sqrt{3 x^{2}+2}}"," ",0,"1/6*(2+15*x)/(3*x^2+2)^(1/2)","A"
1413,1,77,42,0.052000," ","int((5-x)/(2*x+3)/(3*x^2+2)^(3/2),x)","-\frac{x}{4 \sqrt{3 x^{2}+2}}+\frac{117 x}{140 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{26 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{1225}+\frac{13}{35 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}"," ",0,"-1/4/(3*x^2+2)^(1/2)*x+13/35/(-9*x+3*(x+3/2)^2-19/4)^(1/2)+117/140*x/(-9*x+3*(x+3/2)^2-19/4)^(1/2)-26/1225*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))","A"
1414,1,86,67,0.052000," ","int((5-x)/(2*x+3)^2/(3*x^2+2)^(3/2),x)","\frac{57 x}{2450 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{632 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{42875}-\frac{13}{70 \left(x +\frac{3}{2}\right) \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}+\frac{316}{1225 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}"," ",0,"-13/70/(x+3/2)/(-9*x+3*(x+3/2)^2-19/4)^(1/2)+316/1225/(-9*x+3*(x+3/2)^2-19/4)^(1/2)+57/2450/(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x-632/42875*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))","A"
1415,1,107,85,0.076000," ","int((5-x)/(2*x+3)^3/(3*x^2+2)^(3/2),x)","-\frac{993 x}{17150 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{1962 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{300125}-\frac{103}{980 \left(x +\frac{3}{2}\right) \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}+\frac{981}{8575 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{13}{280 \left(x +\frac{3}{2}\right)^{2} \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}"," ",0,"-103/980/(x+3/2)/(-9*x+3*(x+3/2)^2-19/4)^(1/2)+981/8575/(-9*x+3*(x+3/2)^2-19/4)^(1/2)-993/17150/(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x-1962/300125*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))-13/280/(x+3/2)^2/(-9*x+3*(x+3/2)^2-19/4)^(1/2)","A"
1416,1,128,103,0.060000," ","int((5-x)/(2*x+3)^4/(3*x^2+2)^(3/2),x)","-\frac{3153 x}{85750 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{3312 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{1500625}-\frac{17}{700 \left(x +\frac{3}{2}\right)^{2} \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{101}{2450 \left(x +\frac{3}{2}\right) \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}+\frac{1656}{42875 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{13}{840 \left(x +\frac{3}{2}\right)^{3} \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}"," ",0,"-17/700/(x+3/2)^2/(-9*x+3*(x+3/2)^2-19/4)^(1/2)-101/2450/(x+3/2)/(-9*x+3*(x+3/2)^2-19/4)^(1/2)+1656/42875/(-9*x+3*(x+3/2)^2-19/4)^(1/2)-3153/85750/(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x-3312/1500625*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))-13/840/(x+3/2)^3/(-9*x+3*(x+3/2)^2-19/4)^(1/2)","A"
1417,1,149,121,0.100000," ","int((5-x)/(2*x+3)^5/(3*x^2+2)^(3/2),x)","-\frac{22416 x}{1500625 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{30078 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{52521875}-\frac{913}{117600 \left(x +\frac{3}{2}\right)^{3} \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{9}{1000 \left(x +\frac{3}{2}\right)^{2} \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{2143}{171500 \left(x +\frac{3}{2}\right) \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}+\frac{15039}{1500625 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{13}{2240 \left(x +\frac{3}{2}\right)^{4} \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}"," ",0,"-913/117600/(x+3/2)^3/(-9*x+3*(x+3/2)^2-19/4)^(1/2)-9/1000/(x+3/2)^2/(-9*x+3*(x+3/2)^2-19/4)^(1/2)-2143/171500/(x+3/2)/(-9*x+3*(x+3/2)^2-19/4)^(1/2)+15039/1500625/(-9*x+3*(x+3/2)^2-19/4)^(1/2)-22416/1500625/(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x-30078/52521875*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))-13/2240/(x+3/2)^4/(-9*x+3*(x+3/2)^2-19/4)^(1/2)","A"
1418,1,119,93,0.060000," ","int((5-x)*(2*x+3)^6/(3*x^2+2)^(5/2),x)","-\frac{64 x^{6}}{9 \left(3 x^{2}+2\right)^{\frac{3}{2}}}-\frac{128 x^{5}}{3 \left(3 x^{2}+2\right)^{\frac{3}{2}}}+\frac{2416 x^{4}}{9 \left(3 x^{2}+2\right)^{\frac{3}{2}}}-\frac{20720 x^{3}}{27 \left(3 x^{2}+2\right)^{\frac{3}{2}}}-\frac{131332 x^{2}}{27 \left(3 x^{2}+2\right)^{\frac{3}{2}}}+\frac{55517 x}{54 \sqrt{3 x^{2}+2}}-\frac{3537 x}{2 \left(3 x^{2}+2\right)^{\frac{3}{2}}}+\frac{20720 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{81}-\frac{899305}{243 \left(3 x^{2}+2\right)^{\frac{3}{2}}}"," ",0,"-64/9*x^6/(3*x^2+2)^(3/2)+2416/9*x^4/(3*x^2+2)^(3/2)-131332/27*x^2/(3*x^2+2)^(3/2)-899305/243/(3*x^2+2)^(3/2)-128/3*x^5/(3*x^2+2)^(3/2)-20720/27*x^3/(3*x^2+2)^(3/2)+55517/54/(3*x^2+2)^(1/2)*x+20720/81*arcsinh(1/2*6^(1/2)*x)*3^(1/2)-3537/2*x/(3*x^2+2)^(3/2)","A"
1419,1,105,75,0.068000," ","int((5-x)*(2*x+3)^5/(3*x^2+2)^(5/2),x)","-\frac{16 x^{5}}{3 \left(3 x^{2}+2\right)^{\frac{3}{2}}}-\frac{80 x^{4}}{3 \left(3 x^{2}+2\right)^{\frac{3}{2}}}-\frac{1600 x^{3}}{27 \left(3 x^{2}+2\right)^{\frac{3}{2}}}-\frac{8200 x^{2}}{9 \left(3 x^{2}+2\right)^{\frac{3}{2}}}+\frac{21505 x}{54 \sqrt{3 x^{2}+2}}-\frac{615 x}{2 \left(3 x^{2}+2\right)^{\frac{3}{2}}}+\frac{1600 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{81}-\frac{67063}{81 \left(3 x^{2}+2\right)^{\frac{3}{2}}}"," ",0,"-16/3/(3*x^2+2)^(3/2)*x^5-1600/27/(3*x^2+2)^(3/2)*x^3+21505/54/(3*x^2+2)^(1/2)*x+1600/81*arcsinh(1/2*6^(1/2)*x)*3^(1/2)-80/3/(3*x^2+2)^(3/2)*x^4-8200/9/(3*x^2+2)^(3/2)*x^2-67063/81/(3*x^2+2)^(3/2)-615/2/(3*x^2+2)^(3/2)*x","A"
1420,1,91,68,0.058000," ","int((5-x)*(2*x+3)^4/(3*x^2+2)^(5/2),x)","-\frac{16 x^{4}}{3 \left(3 x^{2}+2\right)^{\frac{3}{2}}}+\frac{16 x^{3}}{9 \left(3 x^{2}+2\right)^{\frac{3}{2}}}-\frac{920 x^{2}}{9 \left(3 x^{2}+2\right)^{\frac{3}{2}}}+\frac{2111 x}{18 \sqrt{3 x^{2}+2}}-\frac{57 x}{2 \left(3 x^{2}+2\right)^{\frac{3}{2}}}-\frac{16 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{27}-\frac{12671}{81 \left(3 x^{2}+2\right)^{\frac{3}{2}}}"," ",0,"-16/3/(3*x^2+2)^(3/2)*x^4-920/9/(3*x^2+2)^(3/2)*x^2-12671/81/(3*x^2+2)^(3/2)+16/9/(3*x^2+2)^(3/2)*x^3+2111/18/(3*x^2+2)^(1/2)*x-16/27*arcsinh(1/2*6^(1/2)*x)*3^(1/2)-57/2/(3*x^2+2)^(3/2)*x","A"
1421,1,77,52,0.050000," ","int((5-x)*(2*x+3)^3/(3*x^2+2)^(5/2),x)","\frac{8 x^{3}}{9 \left(3 x^{2}+2\right)^{\frac{3}{2}}}-\frac{4 x^{2}}{3 \left(3 x^{2}+2\right)^{\frac{3}{2}}}+\frac{547 x}{18 \sqrt{3 x^{2}+2}}+\frac{17 x}{2 \left(3 x^{2}+2\right)^{\frac{3}{2}}}-\frac{8 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{27}-\frac{745}{27 \left(3 x^{2}+2\right)^{\frac{3}{2}}}"," ",0,"8/9/(3*x^2+2)^(3/2)*x^3+547/18/(3*x^2+2)^(1/2)*x-8/27*arcsinh(1/2*6^(1/2)*x)*3^(1/2)-4/3/(3*x^2+2)^(3/2)*x^2-745/27/(3*x^2+2)^(3/2)+17/2/(3*x^2+2)^(3/2)*x","A"
1422,1,27,40,0.045000," ","int((5-x)*(2*x+3)^2/(3*x^2+2)^(5/2),x)","\frac{1287 x^{3}+72 x^{2}+1215 x -274}{54 \left(3 x^{2}+2\right)^{\frac{3}{2}}}"," ",0,"1/54*(1287*x^3+72*x^2+1215*x-274)/(3*x^2+2)^(3/2)","A"
1423,1,22,29,0.040000," ","int((5-x)*(2*x+3)/(3*x^2+2)^(5/2),x)","\frac{129 x^{3}+135 x -14}{18 \left(3 x^{2}+2\right)^{\frac{3}{2}}}"," ",0,"1/18*(129*x^3+135*x-14)/(3*x^2+2)^(3/2)","A"
1424,1,22,29,0.041000," ","int((5-x)/(3*x^2+2)^(5/2),x)","\frac{45 x^{3}+45 x +2}{18 \left(3 x^{2}+2\right)^{\frac{3}{2}}}"," ",0,"1/18*(45*x^3+45*x+2)/(3*x^2+2)^(3/2)","A"
1425,1,122,58,0.054000," ","int((5-x)/(2*x+3)/(3*x^2+2)^(5/2),x)","-\frac{x}{12 \left(3 x^{2}+2\right)^{\frac{3}{2}}}-\frac{x}{12 \sqrt{3 x^{2}+2}}+\frac{39 x}{140 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}+\frac{1833 x}{4900 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{104 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{42875}+\frac{13}{105 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}+\frac{52}{1225 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}"," ",0,"-1/12/(3*x^2+2)^(3/2)*x-1/12/(3*x^2+2)^(1/2)*x+13/105/(-9*x+3*(x+3/2)^2-19/4)^(3/2)+39/140*x/(-9*x+3*(x+3/2)^2-19/4)^(3/2)+1833/4900/(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x+52/1225/(-9*x+3*(x+3/2)^2-19/4)^(1/2)-104/42875*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))","B"
1426,1,119,90,0.058000," ","int((5-x)/(2*x+3)^2/(3*x^2+2)^(5/2),x)","-\frac{17 x}{490 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}+\frac{277 x}{3430 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{176 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{60025}-\frac{13}{70 \left(x +\frac{3}{2}\right) \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}+\frac{22}{147 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}+\frac{88}{1715 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}"," ",0,"-13/70/(x+3/2)/(-9*x+3*(x+3/2)^2-19/4)^(3/2)+22/147/(-9*x+3*(x+3/2)^2-19/4)^(3/2)-17/490/(-9*x+3*(x+3/2)^2-19/4)^(3/2)*x+277/3430/(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x+88/1715/(-9*x+3*(x+3/2)^2-19/4)^(1/2)-176/60025*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))","A"
1427,1,140,108,0.053000," ","int((5-x)/(2*x+3)^3/(3*x^2+2)^(5/2),x)","-\frac{173 x}{2450 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}+\frac{857 x}{85750 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{3072 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{1500625}-\frac{107}{700 \left(x +\frac{3}{2}\right) \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}+\frac{128}{1225 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}+\frac{1536}{42875 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{13}{280 \left(x +\frac{3}{2}\right)^{2} \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}"," ",0,"-107/700/(x+3/2)/(-9*x+3*(x+3/2)^2-19/4)^(3/2)+128/1225/(-9*x+3*(x+3/2)^2-19/4)^(3/2)-173/2450/(-9*x+3*(x+3/2)^2-19/4)^(3/2)*x+857/85750/(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x+1536/42875/(-9*x+3*(x+3/2)^2-19/4)^(1/2)-3072/1500625*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))-13/280/(x+3/2)^2/(-9*x+3*(x+3/2)^2-19/4)^(3/2)","A"
1428,1,161,126,0.066000," ","int((5-x)/(2*x+3)^4/(3*x^2+2)^(5/2),x)","-\frac{4071 x}{85750 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}-\frac{17961 x}{3001250 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{55344 \sqrt{35}\, \arctanh \left(\frac{2 \left(-9 x +4\right) \sqrt{35}}{35 \sqrt{-36 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{52521875}-\frac{79}{2450 \left(x +\frac{3}{2}\right)^{2} \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}-\frac{516}{6125 \left(x +\frac{3}{2}\right) \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}+\frac{2306}{42875 \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}+\frac{27672}{1500625 \sqrt{-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{13}{840 \left(x +\frac{3}{2}\right)^{3} \left(-9 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}"," ",0,"-79/2450/(x+3/2)^2/(-9*x+3*(x+3/2)^2-19/4)^(3/2)-516/6125/(x+3/2)/(-9*x+3*(x+3/2)^2-19/4)^(3/2)+2306/42875/(-9*x+3*(x+3/2)^2-19/4)^(3/2)-4071/85750/(-9*x+3*(x+3/2)^2-19/4)^(3/2)*x-17961/3001250/(-9*x+3*(x+3/2)^2-19/4)^(1/2)*x+27672/1500625/(-9*x+3*(x+3/2)^2-19/4)^(1/2)-55344/52521875*35^(1/2)*arctanh(2/35*(-9*x+4)*35^(1/2)/(-36*x+12*(x+3/2)^2-19)^(1/2))-13/840/(x+3/2)^3/(-9*x+3*(x+3/2)^2-19/4)^(3/2)","A"
1429,1,101,100,0.049000," ","int((B*x+A)*(e*x+d)^(3/2)*(c*x^2+a),x)","\frac{2 \left(e x +d \right)^{\frac{5}{2}} \left(315 B c \,x^{3} e^{3}+385 A c \,e^{3} x^{2}-210 B c d \,e^{2} x^{2}-220 A c d \,e^{2} x +495 B a \,e^{3} x +120 B c \,d^{2} e x +693 a A \,e^{3}+88 A c \,d^{2} e -198 a B d \,e^{2}-48 B c \,d^{3}\right)}{3465 e^{4}}"," ",0,"2/3465*(e*x+d)^(5/2)*(315*B*c*e^3*x^3+385*A*c*e^3*x^2-210*B*c*d*e^2*x^2-220*A*c*d*e^2*x+495*B*a*e^3*x+120*B*c*d^2*e*x+693*A*a*e^3+88*A*c*d^2*e-198*B*a*d*e^2-48*B*c*d^3)/e^4","A"
1430,1,101,100,0.049000," ","int((B*x+A)*(c*x^2+a)*(e*x+d)^(1/2),x)","\frac{2 \left(e x +d \right)^{\frac{3}{2}} \left(35 B c \,x^{3} e^{3}+45 A c \,e^{3} x^{2}-30 B c d \,e^{2} x^{2}-36 A c d \,e^{2} x +63 B a \,e^{3} x +24 B c \,d^{2} e x +105 a A \,e^{3}+24 A c \,d^{2} e -42 a B d \,e^{2}-16 B c \,d^{3}\right)}{315 e^{4}}"," ",0,"2/315*(e*x+d)^(3/2)*(35*B*c*e^3*x^3+45*A*c*e^3*x^2-30*B*c*d*e^2*x^2-36*A*c*d*e^2*x+63*B*a*e^3*x+24*B*c*d^2*e*x+105*A*a*e^3+24*A*c*d^2*e-42*B*a*d*e^2-16*B*c*d^3)/e^4","A"
1431,1,101,100,0.046000," ","int((B*x+A)*(c*x^2+a)/(e*x+d)^(1/2),x)","\frac{2 \sqrt{e x +d}\, \left(15 B c \,x^{3} e^{3}+21 A c \,e^{3} x^{2}-18 B c d \,e^{2} x^{2}-28 A c d \,e^{2} x +35 B a \,e^{3} x +24 B c \,d^{2} e x +105 a A \,e^{3}+56 A c \,d^{2} e -70 a B d \,e^{2}-48 B c \,d^{3}\right)}{105 e^{4}}"," ",0,"2/105*(e*x+d)^(1/2)*(15*B*c*e^3*x^3+21*A*c*e^3*x^2-18*B*c*d*e^2*x^2-28*A*c*d*e^2*x+35*B*a*e^3*x+24*B*c*d^2*e*x+105*A*a*e^3+56*A*c*d^2*e-70*B*a*d*e^2-48*B*c*d^3)/e^4","A"
1432,1,101,100,0.048000," ","int((B*x+A)*(c*x^2+a)/(e*x+d)^(3/2),x)","-\frac{2 \left(-3 B c \,x^{3} e^{3}-5 A c \,e^{3} x^{2}+6 B c d \,e^{2} x^{2}+20 A c d \,e^{2} x -15 B a \,e^{3} x -24 B c \,d^{2} e x +15 a A \,e^{3}+40 A c \,d^{2} e -30 a B d \,e^{2}-48 B c \,d^{3}\right)}{15 \sqrt{e x +d}\, e^{4}}"," ",0,"-2/15/(e*x+d)^(1/2)*(-3*B*c*e^3*x^3-5*A*c*e^3*x^2+6*B*c*d*e^2*x^2+20*A*c*d*e^2*x-15*B*a*e^3*x-24*B*c*d^2*e*x+15*A*a*e^3+40*A*c*d^2*e-30*B*a*d*e^2-48*B*c*d^3)/e^4","A"
1433,1,100,100,0.049000," ","int((B*x+A)*(c*x^2+a)/(e*x+d)^(5/2),x)","-\frac{2 \left(-B c \,x^{3} e^{3}-3 A c \,e^{3} x^{2}+6 B c d \,e^{2} x^{2}-12 A c d \,e^{2} x +3 B a \,e^{3} x +24 B c \,d^{2} e x +a A \,e^{3}-8 A c \,d^{2} e +2 a B d \,e^{2}+16 B c \,d^{3}\right)}{3 \left(e x +d \right)^{\frac{3}{2}} e^{4}}"," ",0,"-2/3/(e*x+d)^(3/2)*(-B*c*e^3*x^3-3*A*c*e^3*x^2+6*B*c*d*e^2*x^2-12*A*c*d*e^2*x+3*B*a*e^3*x+24*B*c*d^2*e*x+A*a*e^3-8*A*c*d^2*e+2*B*a*d*e^2+16*B*c*d^3)/e^4","A"
1434,1,101,100,0.049000," ","int((B*x+A)*(c*x^2+a)/(e*x+d)^(7/2),x)","-\frac{2 \left(-15 B c \,x^{3} e^{3}+15 A c \,e^{3} x^{2}-90 B c d \,e^{2} x^{2}+20 A c d \,e^{2} x +5 B a \,e^{3} x -120 B c \,d^{2} e x +3 a A \,e^{3}+8 A c \,d^{2} e +2 a B d \,e^{2}-48 B c \,d^{3}\right)}{15 \left(e x +d \right)^{\frac{5}{2}} e^{4}}"," ",0,"-2/15/(e*x+d)^(5/2)*(-15*B*c*e^3*x^3+15*A*c*e^3*x^2-90*B*c*d*e^2*x^2+20*A*c*d*e^2*x+5*B*a*e^3*x-120*B*c*d^2*e*x+3*A*a*e^3+8*A*c*d^2*e+2*B*a*d*e^2-48*B*c*d^3)/e^4","A"
1435,1,259,194,0.054000," ","int((B*x+A)*(c*x^2+a)^2*(e*x+d)^(1/2),x)","\frac{2 \left(e x +d \right)^{\frac{3}{2}} \left(3465 B \,c^{2} x^{5} e^{5}+4095 A \,c^{2} e^{5} x^{4}-3150 B \,c^{2} d \,e^{4} x^{4}-3640 A \,c^{2} d \,e^{4} x^{3}+10010 B a c \,e^{5} x^{3}+2800 B \,c^{2} d^{2} e^{3} x^{3}+12870 A a c \,e^{5} x^{2}+3120 A \,c^{2} d^{2} e^{3} x^{2}-8580 B a c d \,e^{4} x^{2}-2400 B \,c^{2} d^{3} e^{2} x^{2}-10296 A a c d \,e^{4} x -2496 A \,c^{2} d^{3} e^{2} x +9009 B \,a^{2} e^{5} x +6864 B a c \,d^{2} e^{3} x +1920 B \,c^{2} d^{4} e x +15015 A \,a^{2} e^{5}+6864 A \,d^{2} a c \,e^{3}+1664 A \,c^{2} d^{4} e -6006 B \,a^{2} d \,e^{4}-4576 B \,d^{3} a c \,e^{2}-1280 B \,c^{2} d^{5}\right)}{45045 e^{6}}"," ",0,"2/45045*(e*x+d)^(3/2)*(3465*B*c^2*e^5*x^5+4095*A*c^2*e^5*x^4-3150*B*c^2*d*e^4*x^4-3640*A*c^2*d*e^4*x^3+10010*B*a*c*e^5*x^3+2800*B*c^2*d^2*e^3*x^3+12870*A*a*c*e^5*x^2+3120*A*c^2*d^2*e^3*x^2-8580*B*a*c*d*e^4*x^2-2400*B*c^2*d^3*e^2*x^2-10296*A*a*c*d*e^4*x-2496*A*c^2*d^3*e^2*x+9009*B*a^2*e^5*x+6864*B*a*c*d^2*e^3*x+1920*B*c^2*d^4*e*x+15015*A*a^2*e^5+6864*A*a*c*d^2*e^3+1664*A*c^2*d^4*e-6006*B*a^2*d*e^4-4576*B*a*c*d^3*e^2-1280*B*c^2*d^5)/e^6","A"
1436,1,259,194,0.047000," ","int((B*x+A)*(c*x^2+a)^2/(e*x+d)^(1/2),x)","\frac{2 \sqrt{e x +d}\, \left(315 B \,c^{2} x^{5} e^{5}+385 A \,c^{2} e^{5} x^{4}-350 B \,c^{2} d \,e^{4} x^{4}-440 A \,c^{2} d \,e^{4} x^{3}+990 B a c \,e^{5} x^{3}+400 B \,c^{2} d^{2} e^{3} x^{3}+1386 A a c \,e^{5} x^{2}+528 A \,c^{2} d^{2} e^{3} x^{2}-1188 B a c d \,e^{4} x^{2}-480 B \,c^{2} d^{3} e^{2} x^{2}-1848 A a c d \,e^{4} x -704 A \,c^{2} d^{3} e^{2} x +1155 B \,a^{2} e^{5} x +1584 B a c \,d^{2} e^{3} x +640 B \,c^{2} d^{4} e x +3465 A \,a^{2} e^{5}+3696 A \,d^{2} a c \,e^{3}+1408 A \,c^{2} d^{4} e -2310 B \,a^{2} d \,e^{4}-3168 B \,d^{3} a c \,e^{2}-1280 B \,c^{2} d^{5}\right)}{3465 e^{6}}"," ",0,"2/3465*(e*x+d)^(1/2)*(315*B*c^2*e^5*x^5+385*A*c^2*e^5*x^4-350*B*c^2*d*e^4*x^4-440*A*c^2*d*e^4*x^3+990*B*a*c*e^5*x^3+400*B*c^2*d^2*e^3*x^3+1386*A*a*c*e^5*x^2+528*A*c^2*d^2*e^3*x^2-1188*B*a*c*d*e^4*x^2-480*B*c^2*d^3*e^2*x^2-1848*A*a*c*d*e^4*x-704*A*c^2*d^3*e^2*x+1155*B*a^2*e^5*x+1584*B*a*c*d^2*e^3*x+640*B*c^2*d^4*e*x+3465*A*a^2*e^5+3696*A*a*c*d^2*e^3+1408*A*c^2*d^4*e-2310*B*a^2*d*e^4-3168*B*a*c*d^3*e^2-1280*B*c^2*d^5)/e^6","A"
1437,1,259,194,0.054000," ","int((B*x+A)*(c*x^2+a)^2/(e*x+d)^(3/2),x)","-\frac{2 \left(-35 B \,c^{2} x^{5} e^{5}-45 A \,c^{2} e^{5} x^{4}+50 B \,c^{2} d \,e^{4} x^{4}+72 A \,c^{2} d \,e^{4} x^{3}-126 B a c \,e^{5} x^{3}-80 B \,c^{2} d^{2} e^{3} x^{3}-210 A a c \,e^{5} x^{2}-144 A \,c^{2} d^{2} e^{3} x^{2}+252 B a c d \,e^{4} x^{2}+160 B \,c^{2} d^{3} e^{2} x^{2}+840 A a c d \,e^{4} x +576 A \,c^{2} d^{3} e^{2} x -315 B \,a^{2} e^{5} x -1008 B a c \,d^{2} e^{3} x -640 B \,c^{2} d^{4} e x +315 A \,a^{2} e^{5}+1680 A \,d^{2} a c \,e^{3}+1152 A \,c^{2} d^{4} e -630 B \,a^{2} d \,e^{4}-2016 B \,d^{3} a c \,e^{2}-1280 B \,c^{2} d^{5}\right)}{315 \sqrt{e x +d}\, e^{6}}"," ",0,"-2/315/(e*x+d)^(1/2)*(-35*B*c^2*e^5*x^5-45*A*c^2*e^5*x^4+50*B*c^2*d*e^4*x^4+72*A*c^2*d*e^4*x^3-126*B*a*c*e^5*x^3-80*B*c^2*d^2*e^3*x^3-210*A*a*c*e^5*x^2-144*A*c^2*d^2*e^3*x^2+252*B*a*c*d*e^4*x^2+160*B*c^2*d^3*e^2*x^2+840*A*a*c*d*e^4*x+576*A*c^2*d^3*e^2*x-315*B*a^2*e^5*x-1008*B*a*c*d^2*e^3*x-640*B*c^2*d^4*e*x+315*A*a^2*e^5+1680*A*a*c*d^2*e^3+1152*A*c^2*d^4*e-630*B*a^2*d*e^4-2016*B*a*c*d^3*e^2-1280*B*c^2*d^5)/e^6","A"
1438,1,259,194,0.046000," ","int((B*x+A)*(c*x^2+a)^2/(e*x+d)^(5/2),x)","-\frac{2 \left(-15 B \,c^{2} x^{5} e^{5}-21 A \,c^{2} e^{5} x^{4}+30 B \,c^{2} d \,e^{4} x^{4}+56 A \,c^{2} d \,e^{4} x^{3}-70 B a c \,e^{5} x^{3}-80 B \,c^{2} d^{2} e^{3} x^{3}-210 A a c \,e^{5} x^{2}-336 A \,c^{2} d^{2} e^{3} x^{2}+420 B a c d \,e^{4} x^{2}+480 B \,c^{2} d^{3} e^{2} x^{2}-840 A a c d \,e^{4} x -1344 A \,c^{2} d^{3} e^{2} x +105 B \,a^{2} e^{5} x +1680 B a c \,d^{2} e^{3} x +1920 B \,c^{2} d^{4} e x +35 A \,a^{2} e^{5}-560 A \,d^{2} a c \,e^{3}-896 A \,c^{2} d^{4} e +70 B \,a^{2} d \,e^{4}+1120 B \,d^{3} a c \,e^{2}+1280 B \,c^{2} d^{5}\right)}{105 \left(e x +d \right)^{\frac{3}{2}} e^{6}}"," ",0,"-2/105/(e*x+d)^(3/2)*(-15*B*c^2*e^5*x^5-21*A*c^2*e^5*x^4+30*B*c^2*d*e^4*x^4+56*A*c^2*d*e^4*x^3-70*B*a*c*e^5*x^3-80*B*c^2*d^2*e^3*x^3-210*A*a*c*e^5*x^2-336*A*c^2*d^2*e^3*x^2+420*B*a*c*d*e^4*x^2+480*B*c^2*d^3*e^2*x^2-840*A*a*c*d*e^4*x-1344*A*c^2*d^3*e^2*x+105*B*a^2*e^5*x+1680*B*a*c*d^2*e^3*x+1920*B*c^2*d^4*e*x+35*A*a^2*e^5-560*A*a*c*d^2*e^3-896*A*c^2*d^4*e+70*B*a^2*d*e^4+1120*B*a*c*d^3*e^2+1280*B*c^2*d^5)/e^6","A"
1439,1,259,194,0.050000," ","int((B*x+A)*(c*x^2+a)^2/(e*x+d)^(7/2),x)","-\frac{2 \left(-3 B \,c^{2} x^{5} e^{5}-5 A \,c^{2} e^{5} x^{4}+10 B \,c^{2} d \,e^{4} x^{4}+40 A \,c^{2} d \,e^{4} x^{3}-30 B a c \,e^{5} x^{3}-80 B \,c^{2} d^{2} e^{3} x^{3}+30 A a c \,e^{5} x^{2}+240 A \,c^{2} d^{2} e^{3} x^{2}-180 B a c d \,e^{4} x^{2}-480 B \,c^{2} d^{3} e^{2} x^{2}+40 A a c d \,e^{4} x +320 A \,c^{2} d^{3} e^{2} x +5 B \,a^{2} e^{5} x -240 B a c \,d^{2} e^{3} x -640 B \,c^{2} d^{4} e x +3 A \,a^{2} e^{5}+16 A \,d^{2} a c \,e^{3}+128 A \,c^{2} d^{4} e +2 B \,a^{2} d \,e^{4}-96 B \,d^{3} a c \,e^{2}-256 B \,c^{2} d^{5}\right)}{15 \left(e x +d \right)^{\frac{5}{2}} e^{6}}"," ",0,"-2/15/(e*x+d)^(5/2)*(-3*B*c^2*e^5*x^5-5*A*c^2*e^5*x^4+10*B*c^2*d*e^4*x^4+40*A*c^2*d*e^4*x^3-30*B*a*c*e^5*x^3-80*B*c^2*d^2*e^3*x^3+30*A*a*c*e^5*x^2+240*A*c^2*d^2*e^3*x^2-180*B*a*c*d*e^4*x^2-480*B*c^2*d^3*e^2*x^2+40*A*a*c*d*e^4*x+320*A*c^2*d^3*e^2*x+5*B*a^2*e^5*x-240*B*a*c*d^2*e^3*x-640*B*c^2*d^4*e*x+3*A*a^2*e^5+16*A*a*c*d^2*e^3+128*A*c^2*d^4*e+2*B*a^2*d*e^4-96*B*a*c*d^3*e^2-256*B*c^2*d^5)/e^6","A"
1440,1,259,194,0.051000," ","int((B*x+A)*(c*x^2+a)^2/(e*x+d)^(9/2),x)","-\frac{2 \left(-35 B \,c^{2} x^{5} e^{5}-105 A \,c^{2} e^{5} x^{4}+350 B \,c^{2} d \,e^{4} x^{4}-840 A \,c^{2} d \,e^{4} x^{3}+210 B a c \,e^{5} x^{3}+2800 B \,c^{2} d^{2} e^{3} x^{3}+70 A a c \,e^{5} x^{2}-1680 A \,c^{2} d^{2} e^{3} x^{2}+420 B a c d \,e^{4} x^{2}+5600 B \,c^{2} d^{3} e^{2} x^{2}+56 A a c d \,e^{4} x -1344 A \,c^{2} d^{3} e^{2} x +21 B \,a^{2} e^{5} x +336 B a c \,d^{2} e^{3} x +4480 B \,c^{2} d^{4} e x +15 A \,a^{2} e^{5}+16 A \,d^{2} a c \,e^{3}-384 A \,c^{2} d^{4} e +6 B \,a^{2} d \,e^{4}+96 B \,d^{3} a c \,e^{2}+1280 B \,c^{2} d^{5}\right)}{105 \left(e x +d \right)^{\frac{7}{2}} e^{6}}"," ",0,"-2/105/(e*x+d)^(7/2)*(-35*B*c^2*e^5*x^5-105*A*c^2*e^5*x^4+350*B*c^2*d*e^4*x^4-840*A*c^2*d*e^4*x^3+210*B*a*c*e^5*x^3+2800*B*c^2*d^2*e^3*x^3+70*A*a*c*e^5*x^2-1680*A*c^2*d^2*e^3*x^2+420*B*a*c*d*e^4*x^2+5600*B*c^2*d^3*e^2*x^2+56*A*a*c*d*e^4*x-1344*A*c^2*d^3*e^2*x+21*B*a^2*e^5*x+336*B*a*c*d^2*e^3*x+4480*B*c^2*d^4*e*x+15*A*a^2*e^5+16*A*a*c*d^2*e^3-384*A*c^2*d^4*e+6*B*a^2*d*e^4+96*B*a*c*d^3*e^2+1280*B*c^2*d^5)/e^6","A"
1441,1,489,318,0.049000," ","int((B*x+A)*(c*x^2+a)^3/(e*x+d)^(1/2),x)","\frac{2 \sqrt{e x +d}\, \left(3003 B \,c^{3} x^{7} e^{7}+3465 A \,c^{3} e^{7} x^{6}-3234 B \,c^{3} d \,e^{6} x^{6}-3780 A \,c^{3} d \,e^{6} x^{5}+12285 B a \,c^{2} e^{7} x^{5}+3528 B \,c^{3} d^{2} e^{5} x^{5}+15015 A a \,c^{2} e^{7} x^{4}+4200 A \,c^{3} d^{2} e^{5} x^{4}-13650 B a \,c^{2} d \,e^{6} x^{4}-3920 B \,c^{3} d^{3} e^{4} x^{4}-17160 A a \,c^{2} d \,e^{6} x^{3}-4800 A \,c^{3} d^{3} e^{4} x^{3}+19305 B \,a^{2} c \,e^{7} x^{3}+15600 B a \,c^{2} d^{2} e^{5} x^{3}+4480 B \,c^{3} d^{4} e^{3} x^{3}+27027 A \,a^{2} c \,e^{7} x^{2}+20592 A a \,c^{2} d^{2} e^{5} x^{2}+5760 A \,c^{3} d^{4} e^{3} x^{2}-23166 B \,a^{2} c d \,e^{6} x^{2}-18720 B a \,c^{2} d^{3} e^{4} x^{2}-5376 B \,c^{3} d^{5} e^{2} x^{2}-36036 A \,a^{2} c d \,e^{6} x -27456 A a \,c^{2} d^{3} e^{4} x -7680 A \,c^{3} d^{5} e^{2} x +15015 B \,a^{3} e^{7} x +30888 B \,a^{2} c \,d^{2} e^{5} x +24960 B a \,c^{2} d^{4} e^{3} x +7168 B \,c^{3} d^{6} e x +45045 A \,a^{3} e^{7}+72072 A \,d^{2} a^{2} c \,e^{5}+54912 A a \,c^{2} d^{4} e^{3}+15360 A \,c^{3} d^{6} e -30030 B \,a^{3} d \,e^{6}-61776 B \,d^{3} a^{2} c \,e^{4}-49920 B a \,c^{2} d^{5} e^{2}-14336 B \,c^{3} d^{7}\right)}{45045 e^{8}}"," ",0,"2/45045*(e*x+d)^(1/2)*(3003*B*c^3*e^7*x^7+3465*A*c^3*e^7*x^6-3234*B*c^3*d*e^6*x^6-3780*A*c^3*d*e^6*x^5+12285*B*a*c^2*e^7*x^5+3528*B*c^3*d^2*e^5*x^5+15015*A*a*c^2*e^7*x^4+4200*A*c^3*d^2*e^5*x^4-13650*B*a*c^2*d*e^6*x^4-3920*B*c^3*d^3*e^4*x^4-17160*A*a*c^2*d*e^6*x^3-4800*A*c^3*d^3*e^4*x^3+19305*B*a^2*c*e^7*x^3+15600*B*a*c^2*d^2*e^5*x^3+4480*B*c^3*d^4*e^3*x^3+27027*A*a^2*c*e^7*x^2+20592*A*a*c^2*d^2*e^5*x^2+5760*A*c^3*d^4*e^3*x^2-23166*B*a^2*c*d*e^6*x^2-18720*B*a*c^2*d^3*e^4*x^2-5376*B*c^3*d^5*e^2*x^2-36036*A*a^2*c*d*e^6*x-27456*A*a*c^2*d^3*e^4*x-7680*A*c^3*d^5*e^2*x+15015*B*a^3*e^7*x+30888*B*a^2*c*d^2*e^5*x+24960*B*a*c^2*d^4*e^3*x+7168*B*c^3*d^6*e*x+45045*A*a^3*e^7+72072*A*a^2*c*d^2*e^5+54912*A*a*c^2*d^4*e^3+15360*A*c^3*d^6*e-30030*B*a^3*d*e^6-61776*B*a^2*c*d^3*e^4-49920*B*a*c^2*d^5*e^2-14336*B*c^3*d^7)/e^8","A"
1442,1,489,318,0.051000," ","int((B*x+A)*(c*x^2+a)^3/(e*x+d)^(3/2),x)","-\frac{2 \left(-1155 B \,c^{3} x^{7} e^{7}-1365 A \,c^{3} e^{7} x^{6}+1470 B \,c^{3} d \,e^{6} x^{6}+1820 A \,c^{3} d \,e^{6} x^{5}-5005 B a \,c^{2} e^{7} x^{5}-1960 B \,c^{3} d^{2} e^{5} x^{5}-6435 A a \,c^{2} e^{7} x^{4}-2600 A \,c^{3} d^{2} e^{5} x^{4}+7150 B a \,c^{2} d \,e^{6} x^{4}+2800 B \,c^{3} d^{3} e^{4} x^{4}+10296 A a \,c^{2} d \,e^{6} x^{3}+4160 A \,c^{3} d^{3} e^{4} x^{3}-9009 B \,a^{2} c \,e^{7} x^{3}-11440 B a \,c^{2} d^{2} e^{5} x^{3}-4480 B \,c^{3} d^{4} e^{3} x^{3}-15015 A \,a^{2} c \,e^{7} x^{2}-20592 A a \,c^{2} d^{2} e^{5} x^{2}-8320 A \,c^{3} d^{4} e^{3} x^{2}+18018 B \,a^{2} c d \,e^{6} x^{2}+22880 B a \,c^{2} d^{3} e^{4} x^{2}+8960 B \,c^{3} d^{5} e^{2} x^{2}+60060 A \,a^{2} c d \,e^{6} x +82368 A a \,c^{2} d^{3} e^{4} x +33280 A \,c^{3} d^{5} e^{2} x -15015 B \,a^{3} e^{7} x -72072 B \,a^{2} c \,d^{2} e^{5} x -91520 B a \,c^{2} d^{4} e^{3} x -35840 B \,c^{3} d^{6} e x +15015 A \,a^{3} e^{7}+120120 A \,d^{2} a^{2} c \,e^{5}+164736 A a \,c^{2} d^{4} e^{3}+66560 A \,c^{3} d^{6} e -30030 B \,a^{3} d \,e^{6}-144144 B \,d^{3} a^{2} c \,e^{4}-183040 B a \,c^{2} d^{5} e^{2}-71680 B \,c^{3} d^{7}\right)}{15015 \sqrt{e x +d}\, e^{8}}"," ",0,"-2/15015/(e*x+d)^(1/2)*(-1155*B*c^3*e^7*x^7-1365*A*c^3*e^7*x^6+1470*B*c^3*d*e^6*x^6+1820*A*c^3*d*e^6*x^5-5005*B*a*c^2*e^7*x^5-1960*B*c^3*d^2*e^5*x^5-6435*A*a*c^2*e^7*x^4-2600*A*c^3*d^2*e^5*x^4+7150*B*a*c^2*d*e^6*x^4+2800*B*c^3*d^3*e^4*x^4+10296*A*a*c^2*d*e^6*x^3+4160*A*c^3*d^3*e^4*x^3-9009*B*a^2*c*e^7*x^3-11440*B*a*c^2*d^2*e^5*x^3-4480*B*c^3*d^4*e^3*x^3-15015*A*a^2*c*e^7*x^2-20592*A*a*c^2*d^2*e^5*x^2-8320*A*c^3*d^4*e^3*x^2+18018*B*a^2*c*d*e^6*x^2+22880*B*a*c^2*d^3*e^4*x^2+8960*B*c^3*d^5*e^2*x^2+60060*A*a^2*c*d*e^6*x+82368*A*a*c^2*d^3*e^4*x+33280*A*c^3*d^5*e^2*x-15015*B*a^3*e^7*x-72072*B*a^2*c*d^2*e^5*x-91520*B*a*c^2*d^4*e^3*x-35840*B*c^3*d^6*e*x+15015*A*a^3*e^7+120120*A*a^2*c*d^2*e^5+164736*A*a*c^2*d^4*e^3+66560*A*c^3*d^6*e-30030*B*a^3*d*e^6-144144*B*a^2*c*d^3*e^4-183040*B*a*c^2*d^5*e^2-71680*B*c^3*d^7)/e^8","A"
1443,1,489,318,0.055000," ","int((B*x+A)*(c*x^2+a)^3/(e*x+d)^(5/2),x)","-\frac{2 \left(-315 B \,c^{3} x^{7} e^{7}-385 A \,c^{3} e^{7} x^{6}+490 B \,c^{3} d \,e^{6} x^{6}+660 A \,c^{3} d \,e^{6} x^{5}-1485 B a \,c^{2} e^{7} x^{5}-840 B \,c^{3} d^{2} e^{5} x^{5}-2079 A a \,c^{2} e^{7} x^{4}-1320 A \,c^{3} d^{2} e^{5} x^{4}+2970 B a \,c^{2} d \,e^{6} x^{4}+1680 B \,c^{3} d^{3} e^{4} x^{4}+5544 A a \,c^{2} d \,e^{6} x^{3}+3520 A \,c^{3} d^{3} e^{4} x^{3}-3465 B \,a^{2} c \,e^{7} x^{3}-7920 B a \,c^{2} d^{2} e^{5} x^{3}-4480 B \,c^{3} d^{4} e^{3} x^{3}-10395 A \,a^{2} c \,e^{7} x^{2}-33264 A a \,c^{2} d^{2} e^{5} x^{2}-21120 A \,c^{3} d^{4} e^{3} x^{2}+20790 B \,a^{2} c d \,e^{6} x^{2}+47520 B a \,c^{2} d^{3} e^{4} x^{2}+26880 B \,c^{3} d^{5} e^{2} x^{2}-41580 A \,a^{2} c d \,e^{6} x -133056 A a \,c^{2} d^{3} e^{4} x -84480 A \,c^{3} d^{5} e^{2} x +3465 B \,a^{3} e^{7} x +83160 B \,a^{2} c \,d^{2} e^{5} x +190080 B a \,c^{2} d^{4} e^{3} x +107520 B \,c^{3} d^{6} e x +1155 A \,a^{3} e^{7}-27720 A \,d^{2} a^{2} c \,e^{5}-88704 A a \,c^{2} d^{4} e^{3}-56320 A \,c^{3} d^{6} e +2310 B \,a^{3} d \,e^{6}+55440 B \,d^{3} a^{2} c \,e^{4}+126720 B a \,c^{2} d^{5} e^{2}+71680 B \,c^{3} d^{7}\right)}{3465 \left(e x +d \right)^{\frac{3}{2}} e^{8}}"," ",0,"-2/3465/(e*x+d)^(3/2)*(-315*B*c^3*e^7*x^7-385*A*c^3*e^7*x^6+490*B*c^3*d*e^6*x^6+660*A*c^3*d*e^6*x^5-1485*B*a*c^2*e^7*x^5-840*B*c^3*d^2*e^5*x^5-2079*A*a*c^2*e^7*x^4-1320*A*c^3*d^2*e^5*x^4+2970*B*a*c^2*d*e^6*x^4+1680*B*c^3*d^3*e^4*x^4+5544*A*a*c^2*d*e^6*x^3+3520*A*c^3*d^3*e^4*x^3-3465*B*a^2*c*e^7*x^3-7920*B*a*c^2*d^2*e^5*x^3-4480*B*c^3*d^4*e^3*x^3-10395*A*a^2*c*e^7*x^2-33264*A*a*c^2*d^2*e^5*x^2-21120*A*c^3*d^4*e^3*x^2+20790*B*a^2*c*d*e^6*x^2+47520*B*a*c^2*d^3*e^4*x^2+26880*B*c^3*d^5*e^2*x^2-41580*A*a^2*c*d*e^6*x-133056*A*a*c^2*d^3*e^4*x-84480*A*c^3*d^5*e^2*x+3465*B*a^3*e^7*x+83160*B*a^2*c*d^2*e^5*x+190080*B*a*c^2*d^4*e^3*x+107520*B*c^3*d^6*e*x+1155*A*a^3*e^7-27720*A*a^2*c*d^2*e^5-88704*A*a*c^2*d^4*e^3-56320*A*c^3*d^6*e+2310*B*a^3*d*e^6+55440*B*a^2*c*d^3*e^4+126720*B*a*c^2*d^5*e^2+71680*B*c^3*d^7)/e^8","A"
1444,1,489,318,0.054000," ","int((B*x+A)*(c*x^2+a)^3/(e*x+d)^(7/2),x)","-\frac{2 \left(-35 B \,c^{3} x^{7} e^{7}-45 A \,c^{3} e^{7} x^{6}+70 B \,c^{3} d \,e^{6} x^{6}+108 A \,c^{3} d \,e^{6} x^{5}-189 B a \,c^{2} e^{7} x^{5}-168 B \,c^{3} d^{2} e^{5} x^{5}-315 A a \,c^{2} e^{7} x^{4}-360 A \,c^{3} d^{2} e^{5} x^{4}+630 B a \,c^{2} d \,e^{6} x^{4}+560 B \,c^{3} d^{3} e^{4} x^{4}+2520 A a \,c^{2} d \,e^{6} x^{3}+2880 A \,c^{3} d^{3} e^{4} x^{3}-945 B \,a^{2} c \,e^{7} x^{3}-5040 B a \,c^{2} d^{2} e^{5} x^{3}-4480 B \,c^{3} d^{4} e^{3} x^{3}+945 A \,a^{2} c \,e^{7} x^{2}+15120 A a \,c^{2} d^{2} e^{5} x^{2}+17280 A \,c^{3} d^{4} e^{3} x^{2}-5670 B \,a^{2} c d \,e^{6} x^{2}-30240 B a \,c^{2} d^{3} e^{4} x^{2}-26880 B \,c^{3} d^{5} e^{2} x^{2}+1260 A \,a^{2} c d \,e^{6} x +20160 A a \,c^{2} d^{3} e^{4} x +23040 A \,c^{3} d^{5} e^{2} x +105 B \,a^{3} e^{7} x -7560 B \,a^{2} c \,d^{2} e^{5} x -40320 B a \,c^{2} d^{4} e^{3} x -35840 B \,c^{3} d^{6} e x +63 A \,a^{3} e^{7}+504 A \,d^{2} a^{2} c \,e^{5}+8064 A a \,c^{2} d^{4} e^{3}+9216 A \,c^{3} d^{6} e +42 B \,a^{3} d \,e^{6}-3024 B \,d^{3} a^{2} c \,e^{4}-16128 B a \,c^{2} d^{5} e^{2}-14336 B \,c^{3} d^{7}\right)}{315 \left(e x +d \right)^{\frac{5}{2}} e^{8}}"," ",0,"-2/315/(e*x+d)^(5/2)*(-35*B*c^3*e^7*x^7-45*A*c^3*e^7*x^6+70*B*c^3*d*e^6*x^6+108*A*c^3*d*e^6*x^5-189*B*a*c^2*e^7*x^5-168*B*c^3*d^2*e^5*x^5-315*A*a*c^2*e^7*x^4-360*A*c^3*d^2*e^5*x^4+630*B*a*c^2*d*e^6*x^4+560*B*c^3*d^3*e^4*x^4+2520*A*a*c^2*d*e^6*x^3+2880*A*c^3*d^3*e^4*x^3-945*B*a^2*c*e^7*x^3-5040*B*a*c^2*d^2*e^5*x^3-4480*B*c^3*d^4*e^3*x^3+945*A*a^2*c*e^7*x^2+15120*A*a*c^2*d^2*e^5*x^2+17280*A*c^3*d^4*e^3*x^2-5670*B*a^2*c*d*e^6*x^2-30240*B*a*c^2*d^3*e^4*x^2-26880*B*c^3*d^5*e^2*x^2+1260*A*a^2*c*d*e^6*x+20160*A*a*c^2*d^3*e^4*x+23040*A*c^3*d^5*e^2*x+105*B*a^3*e^7*x-7560*B*a^2*c*d^2*e^5*x-40320*B*a*c^2*d^4*e^3*x-35840*B*c^3*d^6*e*x+63*A*a^3*e^7+504*A*a^2*c*d^2*e^5+8064*A*a*c^2*d^4*e^3+9216*A*c^3*d^6*e+42*B*a^3*d*e^6-3024*B*a^2*c*d^3*e^4-16128*B*a*c^2*d^5*e^2-14336*B*c^3*d^7)/e^8","A"
1445,1,489,318,0.049000," ","int((B*x+A)*(c*x^2+a)^3/(e*x+d)^(9/2),x)","-\frac{2 \left(-5 B \,c^{3} x^{7} e^{7}-7 A \,c^{3} e^{7} x^{6}+14 B \,c^{3} d \,e^{6} x^{6}+28 A \,c^{3} d \,e^{6} x^{5}-35 B a \,c^{2} e^{7} x^{5}-56 B \,c^{3} d^{2} e^{5} x^{5}-105 A a \,c^{2} e^{7} x^{4}-280 A \,c^{3} d^{2} e^{5} x^{4}+350 B a \,c^{2} d \,e^{6} x^{4}+560 B \,c^{3} d^{3} e^{4} x^{4}-840 A a \,c^{2} d \,e^{6} x^{3}-2240 A \,c^{3} d^{3} e^{4} x^{3}+105 B \,a^{2} c \,e^{7} x^{3}+2800 B a \,c^{2} d^{2} e^{5} x^{3}+4480 B \,c^{3} d^{4} e^{3} x^{3}+35 A \,a^{2} c \,e^{7} x^{2}-1680 A a \,c^{2} d^{2} e^{5} x^{2}-4480 A \,c^{3} d^{4} e^{3} x^{2}+210 B \,a^{2} c d \,e^{6} x^{2}+5600 B a \,c^{2} d^{3} e^{4} x^{2}+8960 B \,c^{3} d^{5} e^{2} x^{2}+28 A \,a^{2} c d \,e^{6} x -1344 A a \,c^{2} d^{3} e^{4} x -3584 A \,c^{3} d^{5} e^{2} x +7 B \,a^{3} e^{7} x +168 B \,a^{2} c \,d^{2} e^{5} x +4480 B a \,c^{2} d^{4} e^{3} x +7168 B \,c^{3} d^{6} e x +5 A \,a^{3} e^{7}+8 A \,d^{2} a^{2} c \,e^{5}-384 A a \,c^{2} d^{4} e^{3}-1024 A \,c^{3} d^{6} e +2 B \,a^{3} d \,e^{6}+48 B \,d^{3} a^{2} c \,e^{4}+1280 B a \,c^{2} d^{5} e^{2}+2048 B \,c^{3} d^{7}\right)}{35 \left(e x +d \right)^{\frac{7}{2}} e^{8}}"," ",0,"-2/35/(e*x+d)^(7/2)*(-5*B*c^3*e^7*x^7-7*A*c^3*e^7*x^6+14*B*c^3*d*e^6*x^6+28*A*c^3*d*e^6*x^5-35*B*a*c^2*e^7*x^5-56*B*c^3*d^2*e^5*x^5-105*A*a*c^2*e^7*x^4-280*A*c^3*d^2*e^5*x^4+350*B*a*c^2*d*e^6*x^4+560*B*c^3*d^3*e^4*x^4-840*A*a*c^2*d*e^6*x^3-2240*A*c^3*d^3*e^4*x^3+105*B*a^2*c*e^7*x^3+2800*B*a*c^2*d^2*e^5*x^3+4480*B*c^3*d^4*e^3*x^3+35*A*a^2*c*e^7*x^2-1680*A*a*c^2*d^2*e^5*x^2-4480*A*c^3*d^4*e^3*x^2+210*B*a^2*c*d*e^6*x^2+5600*B*a*c^2*d^3*e^4*x^2+8960*B*c^3*d^5*e^2*x^2+28*A*a^2*c*d*e^6*x-1344*A*a*c^2*d^3*e^4*x-3584*A*c^3*d^5*e^2*x+7*B*a^3*e^7*x+168*B*a^2*c*d^2*e^5*x+4480*B*a*c^2*d^4*e^3*x+7168*B*c^3*d^6*e*x+5*A*a^3*e^7+8*A*a^2*c*d^2*e^5-384*A*a*c^2*d^4*e^3-1024*A*c^3*d^6*e+2*B*a^3*d*e^6+48*B*a^2*c*d^3*e^4+1280*B*a*c^2*d^5*e^2+2048*B*c^3*d^7)/e^8","A"
1446,1,489,318,0.046000," ","int((B*x+A)*(c*x^2+a)^3/(e*x+d)^(11/2),x)","-\frac{2 \left(-63 B \,c^{3} x^{7} e^{7}-105 A \,c^{3} e^{7} x^{6}+294 B \,c^{3} d \,e^{6} x^{6}+1260 A \,c^{3} d \,e^{6} x^{5}-945 B a \,c^{2} e^{7} x^{5}-3528 B \,c^{3} d^{2} e^{5} x^{5}+945 A a \,c^{2} e^{7} x^{4}+12600 A \,c^{3} d^{2} e^{5} x^{4}-9450 B a \,c^{2} d \,e^{6} x^{4}-35280 B \,c^{3} d^{3} e^{4} x^{4}+2520 A a \,c^{2} d \,e^{6} x^{3}+33600 A \,c^{3} d^{3} e^{4} x^{3}+315 B \,a^{2} c \,e^{7} x^{3}-25200 B a \,c^{2} d^{2} e^{5} x^{3}-94080 B \,c^{3} d^{4} e^{3} x^{3}+189 A \,a^{2} c \,e^{7} x^{2}+3024 A a \,c^{2} d^{2} e^{5} x^{2}+40320 A \,c^{3} d^{4} e^{3} x^{2}+378 B \,a^{2} c d \,e^{6} x^{2}-30240 B a \,c^{2} d^{3} e^{4} x^{2}-112896 B \,c^{3} d^{5} e^{2} x^{2}+108 A \,a^{2} c d \,e^{6} x +1728 A a \,c^{2} d^{3} e^{4} x +23040 A \,c^{3} d^{5} e^{2} x +45 B \,a^{3} e^{7} x +216 B \,a^{2} c \,d^{2} e^{5} x -17280 B a \,c^{2} d^{4} e^{3} x -64512 B \,c^{3} d^{6} e x +35 A \,a^{3} e^{7}+24 A \,d^{2} a^{2} c \,e^{5}+384 A a \,c^{2} d^{4} e^{3}+5120 A \,c^{3} d^{6} e +10 B \,a^{3} d \,e^{6}+48 B \,d^{3} a^{2} c \,e^{4}-3840 B a \,c^{2} d^{5} e^{2}-14336 B \,c^{3} d^{7}\right)}{315 \left(e x +d \right)^{\frac{9}{2}} e^{8}}"," ",0,"-2/315/(e*x+d)^(9/2)*(-63*B*c^3*e^7*x^7-105*A*c^3*e^7*x^6+294*B*c^3*d*e^6*x^6+1260*A*c^3*d*e^6*x^5-945*B*a*c^2*e^7*x^5-3528*B*c^3*d^2*e^5*x^5+945*A*a*c^2*e^7*x^4+12600*A*c^3*d^2*e^5*x^4-9450*B*a*c^2*d*e^6*x^4-35280*B*c^3*d^3*e^4*x^4+2520*A*a*c^2*d*e^6*x^3+33600*A*c^3*d^3*e^4*x^3+315*B*a^2*c*e^7*x^3-25200*B*a*c^2*d^2*e^5*x^3-94080*B*c^3*d^4*e^3*x^3+189*A*a^2*c*e^7*x^2+3024*A*a*c^2*d^2*e^5*x^2+40320*A*c^3*d^4*e^3*x^2+378*B*a^2*c*d*e^6*x^2-30240*B*a*c^2*d^3*e^4*x^2-112896*B*c^3*d^5*e^2*x^2+108*A*a^2*c*d*e^6*x+1728*A*a*c^2*d^3*e^4*x+23040*A*c^3*d^5*e^2*x+45*B*a^3*e^7*x+216*B*a^2*c*d^2*e^5*x-17280*B*a*c^2*d^4*e^3*x-64512*B*c^3*d^6*e*x+35*A*a^3*e^7+24*A*a^2*c*d^2*e^5+384*A*a*c^2*d^4*e^3+5120*A*c^3*d^6*e+10*B*a^3*d*e^6+48*B*a^2*c*d^3*e^4-3840*B*a*c^2*d^5*e^2-14336*B*c^3*d^7)/e^8","A"
1447,1,981,179,0.095000," ","int((B*x+A)*(e*x+d)^(5/2)/(-c*x^2+a),x)","\frac{3 A a d \,e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{3 A a d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{A c \,d^{3} e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{A c \,d^{3} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{B \,a^{2} e^{4} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, c}+\frac{B \,a^{2} e^{4} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, c}+\frac{3 B a \,d^{2} e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{3 B a \,d^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{A a \,e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, c}-\frac{A a \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, c}+\frac{3 A \,d^{2} e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{3 A \,d^{2} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{3 B a d \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, c}-\frac{3 B a d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, c}+\frac{B \,d^{3} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{B \,d^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{4 \sqrt{e x +d}\, A d e}{c}-\frac{2 \sqrt{e x +d}\, B a \,e^{2}}{c^{2}}-\frac{2 \sqrt{e x +d}\, B \,d^{2}}{c}-\frac{2 \left(e x +d \right)^{\frac{3}{2}} A e}{3 c}-\frac{2 \left(e x +d \right)^{\frac{3}{2}} B d}{3 c}-\frac{2 \left(e x +d \right)^{\frac{5}{2}} B}{5 c}"," ",0,"-2/5*(e*x+d)^(5/2)*B/c-2/3/c*A*(e*x+d)^(3/2)*e-2/3/c*B*(e*x+d)^(3/2)*d-4/c*A*(e*x+d)^(1/2)*d*e-2/c^2*B*(e*x+d)^(1/2)*a*e^2-2/c*B*(e*x+d)^(1/2)*d^2+3/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*a*d*e^3+c/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^3*e+1/c/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*a^2*e^4+3/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*a*d^2*e^2+1/c/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*a*e^3+3/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^2*e+3/c/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*a*d*e^2+1/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d^3+3/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan(c*(e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2))*A*a*d*e^3+c/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan(c*(e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2))*A*d^3*e+1/c/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan(c*(e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2))*B*a^2*e^4+3/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan(c*(e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2))*B*a*d^2*e^2-1/c/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan(c*(e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2))*A*a*e^3-3/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan(c*(e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2))*A*d^2*e-3/c/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan(c*(e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2))*B*a*d*e^2-1/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan(c*(e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2))*B*d^3","B"
1448,1,689,148,0.085000," ","int((B*x+A)*(e*x+d)^(3/2)/(-c*x^2+a),x)","\frac{A a \,e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{A a \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{A c \,d^{2} e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{A c \,d^{2} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{2 B a d \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{2 B a d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{2 A d e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{2 A d e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{B a \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, c}-\frac{B a \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, c}+\frac{B \,d^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{B \,d^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{2 \sqrt{e x +d}\, A e}{c}-\frac{2 \sqrt{e x +d}\, B d}{c}-\frac{2 \left(e x +d \right)^{\frac{3}{2}} B}{3 c}"," ",0,"-2/3*(e*x+d)^(3/2)*B/c-2/c*A*e*(e*x+d)^(1/2)-2/c*B*d*(e*x+d)^(1/2)+1/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*a*A*e^3+c/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^2*e+2/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*a*B*d*e^2+2/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d*e+1/c/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*a*e^2+1/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d^2+1/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*a*A*e^3+c/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^2*e+2/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*a*B*d*e^2-2/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d*e-1/c/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*a*e^2-1/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d^2","B"
1449,1,427,129,0.073000," ","int((B*x+A)*(e*x+d)^(1/2)/(-c*x^2+a),x)","\frac{A c d e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{A c d e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{B a \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{B a \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{A e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{A e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{B d \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{B d \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{2 \sqrt{e x +d}\, B}{c}"," ",0,"-2*(e*x+d)^(1/2)*B/c+1/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*c*d*e+1/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*a*e^2+1/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*e+1/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d+1/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*c*d*e+1/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*a*e^2-1/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*e-1/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d","B"
1450,1,203,108,0.075000," ","int((B*x+A)/(e*x+d)^(1/2)/(-c*x^2+a),x)","\frac{A c e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{A c e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{B \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{B \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}"," ",0,"c/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*e+1/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B+c/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*e-1/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B","A"
1451,1,588,147,0.078000," ","int((B*x+A)/(e*x+d)^(3/2)/(-c*x^2+a),x)","-\frac{A \,c^{2} d e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\left(a \,e^{2}-c \,d^{2}\right) \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{A \,c^{2} d e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\left(a \,e^{2}-c \,d^{2}\right) \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{B a c \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\left(a \,e^{2}-c \,d^{2}\right) \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{B a c \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\left(a \,e^{2}-c \,d^{2}\right) \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{A c e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\left(a \,e^{2}-c \,d^{2}\right) \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{A c e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\left(a \,e^{2}-c \,d^{2}\right) \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{B c d \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\left(a \,e^{2}-c \,d^{2}\right) \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{B c d \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\left(a \,e^{2}-c \,d^{2}\right) \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{2 A e}{\left(a \,e^{2}-c \,d^{2}\right) \sqrt{e x +d}}+\frac{2 B d}{\left(a \,e^{2}-c \,d^{2}\right) \sqrt{e x +d}}"," ",0,"-2/(a*e^2-c*d^2)/(e*x+d)^(1/2)*A*e+2/(a*e^2-c*d^2)/(e*x+d)^(1/2)*B*d-1/(a*e^2-c*d^2)*c^2/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d*e+1/(a*e^2-c*d^2)*c/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*a*e^2+1/(a*e^2-c*d^2)*c/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*e-1/(a*e^2-c*d^2)*c/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d-1/(a*e^2-c*d^2)*c^2/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d*e+1/(a*e^2-c*d^2)*c/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*a*e^2-1/(a*e^2-c*d^2)*c/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*e+1/(a*e^2-c*d^2)*c/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d","B"
1452,1,973,189,0.082000," ","int((B*x+A)/(e*x+d)^(5/2)/(-c*x^2+a),x)","\frac{A a \,c^{2} e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{A a \,c^{2} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{A \,c^{3} d^{2} e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{A \,c^{3} d^{2} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{2 B a \,c^{2} d \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{2 B a \,c^{2} d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{2 A \,c^{2} d e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{2 A \,c^{2} d e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{B a c \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{B a c \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{B \,c^{2} d^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{B \,c^{2} d^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{4 A c d e}{\left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{e x +d}}-\frac{2 B a \,e^{2}}{\left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{e x +d}}-\frac{2 B c \,d^{2}}{\left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{e x +d}}-\frac{2 A e}{3 \left(a \,e^{2}-c \,d^{2}\right) \left(e x +d \right)^{\frac{3}{2}}}+\frac{2 B d}{3 \left(a \,e^{2}-c \,d^{2}\right) \left(e x +d \right)^{\frac{3}{2}}}"," ",0,"c^2/(a*e^2-c*d^2)^2/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*a*A*e^3+c^3/(a*e^2-c*d^2)^2/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^2*e-2*c^2/(a*e^2-c*d^2)^2/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*a*B*d*e^2-2*c^2/(a*e^2-c*d^2)^2/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d*e+c/(a*e^2-c*d^2)^2/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*a*e^2+c^2/(a*e^2-c*d^2)^2/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d^2+c^2/(a*e^2-c*d^2)^2/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*a*A*e^3+c^3/(a*e^2-c*d^2)^2/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^2*e-2*c^2/(a*e^2-c*d^2)^2/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*a*B*d*e^2+2*c^2/(a*e^2-c*d^2)^2/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d*e-c/(a*e^2-c*d^2)^2/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*a*e^2-c^2/(a*e^2-c*d^2)^2/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d^2-2/3/(a*e^2-c*d^2)/(e*x+d)^(3/2)*A*e+2/3/(a*e^2-c*d^2)/(e*x+d)^(3/2)*B*d+4/(a*e^2-c*d^2)^2/(e*x+d)^(1/2)*A*c*d*e-2/(a*e^2-c*d^2)^2/(e*x+d)^(1/2)*B*a*e^2-2/(a*e^2-c*d^2)^2/(e*x+d)^(1/2)*B*c*d^2","B"
1453,1,1055,209,0.096000," ","int((B*x+A)*(e*x+d)^(5/2)/(-c*x^2+a)^2,x)","\frac{A c \,d^{3} e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{2 \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a}+\frac{A c \,d^{3} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{2 \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{A d \,e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{A d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{5 B a \,e^{4} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, c}-\frac{5 B a \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, c}-\frac{5 B \,d^{2} e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{5 B \,d^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{\sqrt{e x +d}\, A \,d^{3} e}{2 \left(c \,e^{2} x^{2}-a \,e^{2}\right) a}+\frac{A \,d^{2} e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{A \,d^{2} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{\sqrt{e x +d}\, A d \,e^{3}}{2 \left(c \,e^{2} x^{2}-a \,e^{2}\right) c}-\frac{3 A \,e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, c}+\frac{3 A \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, c}-\frac{\sqrt{e x +d}\, B a \,e^{4}}{2 \left(c \,e^{2} x^{2}-a \,e^{2}\right) c^{2}}+\frac{\sqrt{e x +d}\, B \,d^{2} e^{2}}{2 \left(c \,e^{2} x^{2}-a \,e^{2}\right) c}-\frac{5 B d \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{2 \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, c}+\frac{5 B d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{2 \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, c}-\frac{\left(e x +d \right)^{\frac{3}{2}} A \,d^{2} e}{2 \left(c \,e^{2} x^{2}-a \,e^{2}\right) a}-\frac{\left(e x +d \right)^{\frac{3}{2}} A \,e^{3}}{2 \left(c \,e^{2} x^{2}-a \,e^{2}\right) c}-\frac{\left(e x +d \right)^{\frac{3}{2}} B d \,e^{2}}{\left(c \,e^{2} x^{2}-a \,e^{2}\right) c}+\frac{2 \sqrt{e x +d}\, B \,e^{2}}{c^{2}}"," ",0,"2*e^2*B/c^2*(e*x+d)^(1/2)-1/2*e^3/c/(c*e^2*x^2-a*e^2)*(e*x+d)^(3/2)*A-1/2*e/(c*e^2*x^2-a*e^2)/a*(e*x+d)^(3/2)*A*d^2-e^2/c/(c*e^2*x^2-a*e^2)*(e*x+d)^(3/2)*B*d-1/2*e^3/c/(c*e^2*x^2-a*e^2)*(e*x+d)^(1/2)*A*d+1/2*e/(c*e^2*x^2-a*e^2)/a*(e*x+d)^(1/2)*A*d^3-1/2*e^4/c^2/(c*e^2*x^2-a*e^2)*a*(e*x+d)^(1/2)*B+1/2*e^2/c/(c*e^2*x^2-a*e^2)*(e*x+d)^(1/2)*B*d^2-e^3/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d+1/2*e*c/a/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^3-5/4*e^4/c*a/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B-5/4*e^2/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d^2-3/4*e^3/c/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A+1/4*e/a/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^2-5/2*e^2/c/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d-e^3/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d+1/2*e*c/a/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^3-5/4*e^4/c*a/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B-5/4*e^2/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d^2+3/4*e^3/c/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A-1/4*e/a/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^2+5/2*e^2/c/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d","B"
1454,1,694,182,0.111000," ","int((B*x+A)*(e*x+d)^(3/2)/(-c*x^2+a)^2,x)","\frac{A c \,d^{2} e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{2 \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a}+\frac{A c \,d^{2} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{2 \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{A \,e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{A \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{3 B d \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{3 B d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{\sqrt{e x +d}\, A \,d^{2} e}{2 \left(c \,e^{2} x^{2}-a \,e^{2}\right) a}+\frac{A d e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{A d e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{\sqrt{e x +d}\, A \,e^{3}}{2 \left(c \,e^{2} x^{2}-a \,e^{2}\right) c}-\frac{3 B \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, c}+\frac{3 B \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, c}-\frac{\left(e x +d \right)^{\frac{3}{2}} A d e}{2 \left(c \,e^{2} x^{2}-a \,e^{2}\right) a}-\frac{\left(e x +d \right)^{\frac{3}{2}} B \,e^{2}}{2 \left(c \,e^{2} x^{2}-a \,e^{2}\right) c}"," ",0,"-1/2*e/(c*e^2*x^2-a*e^2)/a*(e*x+d)^(3/2)*A*d-1/2*e^2/(c*e^2*x^2-a*e^2)/c*(e*x+d)^(3/2)*B-1/2*e^3/(c*e^2*x^2-a*e^2)*A/c*(e*x+d)^(1/2)+1/2*e/(c*e^2*x^2-a*e^2)*A/a*(e*x+d)^(1/2)*d^2-1/4*e^3/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A+1/2*e/a*c/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^2-3/4*e^2/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d+1/4*e/a/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d-3/4*e^2/c/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B-1/4*e^3/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A+1/2*e/a*c/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^2-3/4*e^2/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d-1/4*e/a/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d+3/4*e^2/c/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B","B"
1455,1,432,169,0.089000," ","int((B*x+A)*(e*x+d)^(1/2)/(-c*x^2+a)^2,x)","\frac{A c d e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{2 \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a}+\frac{A c d e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{2 \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{B \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{B \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{\sqrt{e x +d}\, A d e}{2 \left(c \,e^{2} x^{2}-a \,e^{2}\right) a}+\frac{A e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{A e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{\sqrt{e x +d}\, B \,e^{2}}{2 \left(c \,e^{2} x^{2}-a \,e^{2}\right) c}-\frac{\left(e x +d \right)^{\frac{3}{2}} A e}{2 \left(c \,e^{2} x^{2}-a \,e^{2}\right) a}"," ",0,"-1/2*e/(c*e^2*x^2-a*e^2)*A/a*(e*x+d)^(3/2)+1/2*e/(c*e^2*x^2-a*e^2)/a*(e*x+d)^(1/2)*A*d-1/2*e^2/(c*e^2*x^2-a*e^2)/c*(e*x+d)^(1/2)*B+1/2*e/a/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*c*d-1/4*e^2/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B+1/4*e/a/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A+1/2*e/a/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*c*d-1/4*e^2/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B-1/4*e/a/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A","B"
1456,1,635,194,0.290000," ","int((B*x+A)/(e*x+d)^(1/2)/(-c*x^2+a)^2,x)","\frac{A \,c^{2} d e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{2 \sqrt{a c \,e^{2}}\, \left(c d +\sqrt{a c \,e^{2}}\right) \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{A \,c^{2} d e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{2 \sqrt{a c \,e^{2}}\, \left(-c d +\sqrt{a c \,e^{2}}\right) \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a}+\frac{B c \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \sqrt{a c \,e^{2}}\, \left(c d +\sqrt{a c \,e^{2}}\right) \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{B c \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \sqrt{a c \,e^{2}}\, \left(-c d +\sqrt{a c \,e^{2}}\right) \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{3 A c e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \left(c d +\sqrt{a c \,e^{2}}\right) \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a}+\frac{3 A c e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \left(-c d +\sqrt{a c \,e^{2}}\right) \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{\sqrt{e x +d}\, B \,e^{2}}{4 \sqrt{a c \,e^{2}}\, \left(c d +\sqrt{a c \,e^{2}}\right) \left(e x -\frac{\sqrt{a c \,e^{2}}}{c}\right)}+\frac{\sqrt{e x +d}\, B \,e^{2}}{4 \sqrt{a c \,e^{2}}\, \left(c d -\sqrt{a c \,e^{2}}\right) \left(e x +\frac{\sqrt{a c \,e^{2}}}{c}\right)}-\frac{\sqrt{e x +d}\, A e}{4 \left(c d +\sqrt{a c \,e^{2}}\right) \left(e x -\frac{\sqrt{a c \,e^{2}}}{c}\right) a}-\frac{\sqrt{e x +d}\, A e}{4 \left(c d -\sqrt{a c \,e^{2}}\right) \left(e x +\frac{\sqrt{a c \,e^{2}}}{c}\right) a}"," ",0,"-1/4*e^2/(a*c*e^2)^(1/2)/(c*d+(a*c*e^2)^(1/2))*(e*x+d)^(1/2)/(e*x-(a*c*e^2)^(1/2)/c)*B-1/4*e/a/(c*d+(a*c*e^2)^(1/2))*(e*x+d)^(1/2)/(e*x-(a*c*e^2)^(1/2)/c)*A+1/2*c^2*e/(a*c*e^2)^(1/2)/a/(c*d+(a*c*e^2)^(1/2))/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d+1/4*c*e^2/(a*c*e^2)^(1/2)/(c*d+(a*c*e^2)^(1/2))/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B+3/4*c*e/a/(c*d+(a*c*e^2)^(1/2))/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A+1/4*e^2/(a*c*e^2)^(1/2)/(c*d-(a*c*e^2)^(1/2))*(e*x+d)^(1/2)/(e*x+(a*c*e^2)^(1/2)/c)*B-1/4*e/a/(c*d-(a*c*e^2)^(1/2))*(e*x+d)^(1/2)/(e*x+(a*c*e^2)^(1/2)/c)*A-1/2*c^2*e/(a*c*e^2)^(1/2)/a/(-c*d+(a*c*e^2)^(1/2))/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d-1/4*c*e^2/(a*c*e^2)^(1/2)/(-c*d+(a*c*e^2)^(1/2))/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B+3/4*c*e/a/(-c*d+(a*c*e^2)^(1/2))/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A","B"
1457,1,1392,243,0.100000," ","int((B*x+A)/(e*x+d)^(3/2)/(-c*x^2+a)^2,x)","\frac{A \,c^{3} d^{3} e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{2 \left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a}+\frac{A \,c^{3} d^{3} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{2 \left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{2 A \,c^{2} d \,e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{2 A \,c^{2} d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{\left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{3 B a c \,e^{4} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{3 B a c \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{3 B \,c^{2} d^{2} e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{3 B \,c^{2} d^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{\sqrt{e x +d}\, A \,c^{2} d^{3} e}{2 \left(a \,e^{2}-c \,d^{2}\right)^{2} \left(c \,e^{2} x^{2}-a \,e^{2}\right) a}+\frac{A \,c^{2} d^{2} e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{A \,c^{2} d^{2} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a}+\frac{3 \sqrt{e x +d}\, A c d \,e^{3}}{2 \left(a \,e^{2}-c \,d^{2}\right)^{2} \left(c \,e^{2} x^{2}-a \,e^{2}\right)}+\frac{5 A c \,e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{5 A c \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{\sqrt{e x +d}\, B a \,e^{4}}{2 \left(a \,e^{2}-c \,d^{2}\right)^{2} \left(c \,e^{2} x^{2}-a \,e^{2}\right)}-\frac{3 \sqrt{e x +d}\, B c \,d^{2} e^{2}}{2 \left(a \,e^{2}-c \,d^{2}\right)^{2} \left(c \,e^{2} x^{2}-a \,e^{2}\right)}-\frac{3 B c d \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{2 \left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{3 B c d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{2 \left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{\left(e x +d \right)^{\frac{3}{2}} A \,c^{2} d^{2} e}{2 \left(a \,e^{2}-c \,d^{2}\right)^{2} \left(c \,e^{2} x^{2}-a \,e^{2}\right) a}-\frac{\left(e x +d \right)^{\frac{3}{2}} A c \,e^{3}}{2 \left(a \,e^{2}-c \,d^{2}\right)^{2} \left(c \,e^{2} x^{2}-a \,e^{2}\right)}+\frac{\left(e x +d \right)^{\frac{3}{2}} B c d \,e^{2}}{\left(a \,e^{2}-c \,d^{2}\right)^{2} \left(c \,e^{2} x^{2}-a \,e^{2}\right)}-\frac{2 A \,e^{3}}{\left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{e x +d}}+\frac{2 B d \,e^{2}}{\left(a \,e^{2}-c \,d^{2}\right)^{2} \sqrt{e x +d}}"," ",0,"-1/2*e^3/(a*e^2-c*d^2)^2/(c*e^2*x^2-a*e^2)*c*(e*x+d)^(3/2)*A-1/2*e/(a*e^2-c*d^2)^2/(c*e^2*x^2-a*e^2)*c^2/a*(e*x+d)^(3/2)*A*d^2+e^2/(a*e^2-c*d^2)^2/(c*e^2*x^2-a*e^2)*c*(e*x+d)^(3/2)*B*d+3/2*e^3/(a*e^2-c*d^2)^2/(c*e^2*x^2-a*e^2)*(e*x+d)^(1/2)*A*c*d+1/2*e/(a*e^2-c*d^2)^2/(c*e^2*x^2-a*e^2)/a*(e*x+d)^(1/2)*A*c^2*d^3-1/2*e^4/(a*e^2-c*d^2)^2/(c*e^2*x^2-a*e^2)*a*(e*x+d)^(1/2)*B-3/2*e^2/(a*e^2-c*d^2)^2/(c*e^2*x^2-a*e^2)*(e*x+d)^(1/2)*B*c*d^2-2*e^3/(a*e^2-c*d^2)^2*c^2/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d+1/2*e/(a*e^2-c*d^2)^2/a*c^3/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^3+3/4*e^4/(a*e^2-c*d^2)^2*a*c/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B+3/4*e^2/(a*e^2-c*d^2)^2*c^2/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d^2+5/4*e^3/(a*e^2-c*d^2)^2*c/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A+1/4*e/(a*e^2-c*d^2)^2/a*c^2/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^2-3/2*e^2/(a*e^2-c*d^2)^2*c/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d-2*e^3/(a*e^2-c*d^2)^2*c^2/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d+1/2*e/(a*e^2-c*d^2)^2/a*c^3/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^3+3/4*e^4/(a*e^2-c*d^2)^2*a*c/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B+3/4*e^2/(a*e^2-c*d^2)^2*c^2/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d^2-5/4*e^3/(a*e^2-c*d^2)^2*c/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A-1/4*e/(a*e^2-c*d^2)^2/a*c^2/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^2+3/2*e^2/(a*e^2-c*d^2)^2*c/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d-2*e^3/(a*e^2-c*d^2)^2/(e*x+d)^(1/2)*A+2*e^2/(a*e^2-c*d^2)^2/(e*x+d)^(1/2)*B*d","B"
1458,1,1828,324,0.113000," ","int((B*x+A)*(e*x+d)^(7/2)/(-c*x^2+a)^3,x)","-\frac{5 \sqrt{e x +d}\, A a \,e^{7}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} c^{2}}-\frac{17 \sqrt{e x +d}\, A \,d^{4} e^{3}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a}+\frac{3 \sqrt{e x +d}\, A c \,d^{6} e}{8 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a^{2}}+\frac{\sqrt{e x +d}\, A \,d^{2} e^{5}}{\left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} c}-\frac{7 \sqrt{e x +d}\, B a d \,e^{6}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} c^{2}}-\frac{7 \sqrt{e x +d}\, B \,d^{5} e^{2}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a}+\frac{7 \sqrt{e x +d}\, B \,d^{3} e^{4}}{8 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} c}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} A \,d^{3} e^{3}}{\left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a}-\frac{19 A \,d^{2} e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{19 A \,d^{2} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{9 \left(e x +d \right)^{\frac{3}{2}} A c \,d^{5} e}{8 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a^{2}}+\frac{3 A c \,d^{4} e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{8 \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a^{2}}+\frac{3 A c \,d^{4} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{8 \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a^{2}}-\frac{7 \left(e x +d \right)^{\frac{3}{2}} A d \,e^{5}}{8 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} c}+\frac{5 A \,e^{5} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, c}+\frac{5 A \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, c}-\frac{7 \left(e x +d \right)^{\frac{3}{2}} B a \,e^{6}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} c^{2}}+\frac{21 \left(e x +d \right)^{\frac{3}{2}} B \,d^{4} e^{2}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a}-\frac{7 B \,d^{3} e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{16 \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{7 B \,d^{3} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{16 \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{7 \left(e x +d \right)^{\frac{3}{2}} B \,d^{2} e^{4}}{8 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} c}+\frac{7 B d \,e^{4} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{8 \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, c}+\frac{7 B d \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{8 \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, c}-\frac{23 \left(e x +d \right)^{\frac{5}{2}} A \,d^{2} e^{3}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a}+\frac{9 \left(e x +d \right)^{\frac{5}{2}} A c \,d^{4} e}{8 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a^{2}}+\frac{9 \left(e x +d \right)^{\frac{5}{2}} A \,e^{5}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} c}-\frac{21 \left(e x +d \right)^{\frac{5}{2}} B \,d^{3} e^{2}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a}-\frac{7 \left(e x +d \right)^{\frac{5}{2}} B d \,e^{4}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} c}-\frac{A d \,e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a c}+\frac{A d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{4 \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a c}+\frac{\left(e x +d \right)^{\frac{7}{2}} A d \,e^{3}}{2 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a}-\frac{3 \left(e x +d \right)^{\frac{7}{2}} A c \,d^{3} e}{8 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a^{2}}+\frac{3 A \,d^{3} e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{16 \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a^{2}}-\frac{3 A \,d^{3} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{16 \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a^{2}}-\frac{7 B \,d^{2} e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a c}+\frac{7 B \,d^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a c}+\frac{7 \left(e x +d \right)^{\frac{7}{2}} B \,d^{2} e^{2}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a}+\frac{11 \left(e x +d \right)^{\frac{7}{2}} B \,e^{4}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} c}+\frac{21 B \,e^{4} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, c^{2}}-\frac{21 B \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, c^{2}}"," ",0,"3/8*e/a^2*c/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^4+3/8*e/a^2*c/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^4-21/32*e^4/c^2/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B+11/16*e^4/(c*e^2*x^2-a*e^2)^2/c*(e*x+d)^(7/2)*B+9/16*e^5/(c*e^2*x^2-a*e^2)^2/c*(e*x+d)^(5/2)*A+21/32*e^4/c^2/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B+7/32*e^2/a/c/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d^2-1/4*e^3/a/c/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d-7/32*e^2/a/c/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d^2+7/8*e^4/c/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d-7/16*e^2/a/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d^3-19/32*e^3/a/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^2+3/8*e/(c*e^2*x^2-a*e^2)^2/a^2*c*(e*x+d)^(1/2)*A*d^6+21/16*e^2/(c*e^2*x^2-a*e^2)^2/a*(e*x+d)^(3/2)*B*d^4-5/16*e^7/(c*e^2*x^2-a*e^2)^2*a/c^2*(e*x+d)^(1/2)*A+e^5/(c*e^2*x^2-a*e^2)^2/c*(e*x+d)^(1/2)*A*d^2-17/16*e^3/(c*e^2*x^2-a*e^2)^2/a*(e*x+d)^(1/2)*A*d^4-7/16*e^2/(c*e^2*x^2-a*e^2)^2/a*(e*x+d)^(1/2)*B*d^5-7/16*e^4/(c*e^2*x^2-a*e^2)^2/c*(e*x+d)^(5/2)*B*d-7/8*e^4/(c*e^2*x^2-a*e^2)^2/c*(e*x+d)^(3/2)*B*d^2+7/8*e^4/(c*e^2*x^2-a*e^2)^2/c*(e*x+d)^(1/2)*B*d^3+5/32*e^5/c/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A-3/16*e/a^2/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^3+5/32*e^5/c/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A+3/16*e/a^2/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^3+1/2*e^3/(c*e^2*x^2-a*e^2)^2/a*(e*x+d)^(7/2)*A*d+7/16*e^2/(c*e^2*x^2-a*e^2)^2/a*(e*x+d)^(7/2)*B*d^2-23/16*e^3/(c*e^2*x^2-a*e^2)^2/a*(e*x+d)^(5/2)*A*d^2-21/16*e^2/(c*e^2*x^2-a*e^2)^2/a*(e*x+d)^(5/2)*B*d^3-7/8*e^5/(c*e^2*x^2-a*e^2)^2/c*(e*x+d)^(3/2)*A*d+2*e^3/(c*e^2*x^2-a*e^2)^2/a*(e*x+d)^(3/2)*A*d^3-7/16*e^6/(c*e^2*x^2-a*e^2)^2/c^2*a*(e*x+d)^(3/2)*B-3/8*e/(c*e^2*x^2-a*e^2)^2/a^2*c*(e*x+d)^(7/2)*A*d^3+9/8*e/(c*e^2*x^2-a*e^2)^2*c/a^2*(e*x+d)^(5/2)*A*d^4+1/4*e^3/a/c/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d-7/16*e^2/a/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d^3-19/32*e^3/a/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^2+7/8*e^4/c/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d-7/16*e^6/(c*e^2*x^2-a*e^2)^2*a/c^2*(e*x+d)^(1/2)*B*d-9/8*e/(c*e^2*x^2-a*e^2)^2*c/a^2*(e*x+d)^(3/2)*A*d^5","B"
1459,1,1447,300,0.108000," ","int((B*x+A)*(e*x+d)^(5/2)/(-c*x^2+a)^3,x)","-\frac{3 \sqrt{e x +d}\, A \,d^{3} e^{3}}{4 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a}+\frac{3 \sqrt{e x +d}\, A c \,d^{5} e}{8 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a^{2}}+\frac{3 \sqrt{e x +d}\, A d \,e^{5}}{8 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} c}-\frac{5 \sqrt{e x +d}\, B a \,e^{6}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} c^{2}}-\frac{5 \sqrt{e x +d}\, B \,d^{4} e^{2}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a}+\frac{5 \sqrt{e x +d}\, B \,d^{2} e^{4}}{8 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} c}+\frac{17 \left(e x +d \right)^{\frac{3}{2}} A \,d^{2} e^{3}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a}-\frac{9 A d \,e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{9 A d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{9 \left(e x +d \right)^{\frac{3}{2}} A c \,d^{4} e}{8 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a^{2}}+\frac{3 A c \,d^{3} e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{8 \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a^{2}}+\frac{3 A c \,d^{3} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{8 \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a^{2}}+\frac{\left(e x +d \right)^{\frac{3}{2}} A \,e^{5}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} c}+\frac{15 \left(e x +d \right)^{\frac{3}{2}} B \,d^{3} e^{2}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a}-\frac{5 B \,d^{2} e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{16 \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{5 B \,d^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{16 \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{15 \left(e x +d \right)^{\frac{3}{2}} B d \,e^{4}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} c}+\frac{5 B \,e^{4} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, c}+\frac{5 B \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, c}-\frac{\left(e x +d \right)^{\frac{5}{2}} A d \,e^{3}}{2 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a}+\frac{9 \left(e x +d \right)^{\frac{5}{2}} A c \,d^{3} e}{8 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a^{2}}-\frac{15 \left(e x +d \right)^{\frac{5}{2}} B \,d^{2} e^{2}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a}+\frac{9 \left(e x +d \right)^{\frac{5}{2}} B \,e^{4}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} c}-\frac{3 A \,e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a c}+\frac{3 A \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a c}+\frac{3 \left(e x +d \right)^{\frac{7}{2}} A \,e^{3}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a}-\frac{3 \left(e x +d \right)^{\frac{7}{2}} A c \,d^{2} e}{8 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a^{2}}+\frac{3 A \,d^{2} e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{16 \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a^{2}}-\frac{3 A \,d^{2} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{16 \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a^{2}}-\frac{5 B d \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a c}+\frac{5 B d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a c}+\frac{5 \left(e x +d \right)^{\frac{7}{2}} B d \,e^{2}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a}"," ",0,"3/8*e/a^2*c/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^3+3/8*e^5/(c*e^2*x^2-a*e^2)^2/c*(e*x+d)^(1/2)*A*d+5/8*e^4/(c*e^2*x^2-a*e^2)^2/c*(e*x+d)^(1/2)*B*d^2+5/32*e^4/c/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B+5/32*e^4/c/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B-3/16*e/a^2/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^2+3/16*e/a^2/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^2-15/16*e^4/(c*e^2*x^2-a*e^2)^2/c*(e*x+d)^(3/2)*B*d+3/8*e/a^2*c/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^3+17/16*e^3/(c*e^2*x^2-a*e^2)^2/a*(e*x+d)^(3/2)*A*d^2+15/16*e^2/(c*e^2*x^2-a*e^2)^2/a*(e*x+d)^(3/2)*B*d^3-3/32*e^3/a/c/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A+3/32*e^3/a/c/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A-15/16*e^2/(c*e^2*x^2-a*e^2)^2/a*(e*x+d)^(5/2)*B*d^2-1/2*e^3/(c*e^2*x^2-a*e^2)^2/a*(e*x+d)^(5/2)*A*d-3/4*e^3/(c*e^2*x^2-a*e^2)^2/a*(e*x+d)^(1/2)*A*d^3-5/16*e^6/(c*e^2*x^2-a*e^2)^2*a/c^2*(e*x+d)^(1/2)*B+9/16*e^4/(c*e^2*x^2-a*e^2)^2/c*(e*x+d)^(5/2)*B-5/16*e^2/(c*e^2*x^2-a*e^2)^2/a*(e*x+d)^(1/2)*B*d^4+5/16*e^2/(c*e^2*x^2-a*e^2)^2/a*(e*x+d)^(7/2)*B*d+3/16*e^3/(c*e^2*x^2-a*e^2)^2/a*(e*x+d)^(7/2)*A+1/16*e^5/(c*e^2*x^2-a*e^2)^2/c*(e*x+d)^(3/2)*A-5/16*e^2/a/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d^2-9/32*e^3/a/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d+9/8*e/(c*e^2*x^2-a*e^2)^2/a^2*c*(e*x+d)^(5/2)*A*d^3+3/8*e/(c*e^2*x^2-a*e^2)^2/a^2*c*(e*x+d)^(1/2)*A*d^5-3/8*e/(c*e^2*x^2-a*e^2)^2/a^2*(e*x+d)^(7/2)*A*c*d^2-9/32*e^3/a/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d-5/16*e^2/a/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d^2-5/32*e^2/a/c/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d+5/32*e^2/a/c/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d-9/8*e/(c*e^2*x^2-a*e^2)^2/a^2*c*(e*x+d)^(3/2)*A*d^4","B"
1460,1,1060,278,0.090000," ","int((B*x+A)*(e*x+d)^(3/2)/(-c*x^2+a)^3,x)","-\frac{9 \sqrt{e x +d}\, A \,d^{2} e^{3}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a}+\frac{3 \sqrt{e x +d}\, A c \,d^{4} e}{8 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a^{2}}+\frac{3 \sqrt{e x +d}\, A \,e^{5}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} c}-\frac{3 \sqrt{e x +d}\, B \,d^{3} e^{2}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a}+\frac{3 \sqrt{e x +d}\, B d \,e^{4}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} c}+\frac{\left(e x +d \right)^{\frac{3}{2}} A d \,e^{3}}{2 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a}-\frac{3 A \,e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{3 A \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{9 \left(e x +d \right)^{\frac{3}{2}} A c \,d^{3} e}{8 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a^{2}}+\frac{3 A c \,d^{2} e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{8 \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a^{2}}+\frac{3 A c \,d^{2} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{8 \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a^{2}}+\frac{9 \left(e x +d \right)^{\frac{3}{2}} B \,d^{2} e^{2}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a}-\frac{3 B d \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{16 \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{3 B d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{16 \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a}+\frac{\left(e x +d \right)^{\frac{3}{2}} B \,e^{4}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} c}+\frac{\left(e x +d \right)^{\frac{5}{2}} A \,e^{3}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a}+\frac{9 \left(e x +d \right)^{\frac{5}{2}} A c \,d^{2} e}{8 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a^{2}}-\frac{9 \left(e x +d \right)^{\frac{5}{2}} B d \,e^{2}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a}-\frac{3 \left(e x +d \right)^{\frac{7}{2}} A c d e}{8 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a^{2}}+\frac{3 A d e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{16 \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a^{2}}-\frac{3 A d e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{16 \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a^{2}}-\frac{3 B \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a c}+\frac{3 B \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a c}+\frac{3 \left(e x +d \right)^{\frac{7}{2}} B \,e^{2}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a}"," ",0,"-3/8*e/(c*e^2*x^2-a*e^2)^2/a^2*(e*x+d)^(7/2)*A*c*d+3/16*e^2/(c*e^2*x^2-a*e^2)^2/a*(e*x+d)^(7/2)*B+1/16*e^3/(c*e^2*x^2-a*e^2)^2/a*(e*x+d)^(5/2)*A+9/8*e/(c*e^2*x^2-a*e^2)^2/a^2*(e*x+d)^(5/2)*A*c*d^2-9/16*e^2/(c*e^2*x^2-a*e^2)^2/a*(e*x+d)^(5/2)*B*d+1/2*e^3/(c*e^2*x^2-a*e^2)^2/a*(e*x+d)^(3/2)*A*d-9/8*e/(c*e^2*x^2-a*e^2)^2/a^2*c*(e*x+d)^(3/2)*A*d^3+1/16*e^4/(c*e^2*x^2-a*e^2)^2/c*(e*x+d)^(3/2)*B+9/16*e^2/(c*e^2*x^2-a*e^2)^2/a*(e*x+d)^(3/2)*B*d^2+3/16*e^5/(c*e^2*x^2-a*e^2)^2/c*(e*x+d)^(1/2)*A-9/16*e^3/(c*e^2*x^2-a*e^2)^2/a*(e*x+d)^(1/2)*A*d^2+3/8*e/(c*e^2*x^2-a*e^2)^2/a^2*c*(e*x+d)^(1/2)*A*d^4+3/16*e^4/(c*e^2*x^2-a*e^2)^2/c*(e*x+d)^(1/2)*B*d-3/16*e^2/(c*e^2*x^2-a*e^2)^2/a*(e*x+d)^(1/2)*B*d^3-3/32*e^3/a/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A+3/8*e/a^2*c/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^2-3/16*e^2/a/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d+3/16*e/a^2/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d-3/32*e^2/a/c/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B-3/32*e^3/a/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A+3/8*e/a^2*c/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^2-3/16*e^2/a/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d-3/16*e/a^2/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d+3/32*e^2/a/c/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B","B"
1461,1,1733,300,0.098000," ","int((B*x+A)*(e*x+d)^(1/2)/(-c*x^2+a)^3,x)","-\frac{23 \left(e x +d \right)^{\frac{3}{2}} A c \,d^{2} e^{3}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} \left(a \,e^{2}-c \,d^{2}\right) a}+\frac{13 A c d \,e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \left(a \,e^{2}-c \,d^{2}\right) \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a}+\frac{13 A c d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \left(a \,e^{2}-c \,d^{2}\right) \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a}+\frac{9 \left(e x +d \right)^{\frac{3}{2}} A \,c^{2} d^{4} e}{8 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} \left(a \,e^{2}-c \,d^{2}\right) a^{2}}-\frac{3 A \,c^{2} d^{3} e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{8 \left(a \,e^{2}-c \,d^{2}\right) \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a^{2}}-\frac{3 A \,c^{2} d^{3} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{8 \left(a \,e^{2}-c \,d^{2}\right) \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a^{2}}+\frac{9 \left(e x +d \right)^{\frac{3}{2}} A \,e^{5}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} \left(a \,e^{2}-c \,d^{2}\right)}-\frac{3 \left(e x +d \right)^{\frac{3}{2}} B c \,d^{3} e^{2}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} \left(a \,e^{2}-c \,d^{2}\right) a}+\frac{B c \,d^{2} e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{16 \left(a \,e^{2}-c \,d^{2}\right) \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a}+\frac{B c \,d^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{16 \left(a \,e^{2}-c \,d^{2}\right) \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{\left(e x +d \right)^{\frac{3}{2}} B d \,e^{4}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} \left(a \,e^{2}-c \,d^{2}\right)}-\frac{3 B \,e^{4} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \left(a \,e^{2}-c \,d^{2}\right) \sqrt{a c \,e^{2}}\, \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}-\frac{3 B \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \left(a \,e^{2}-c \,d^{2}\right) \sqrt{a c \,e^{2}}\, \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}+\frac{7 \left(e x +d \right)^{\frac{5}{2}} A c d \,e^{3}}{8 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} \left(a \,e^{2}-c \,d^{2}\right) a}-\frac{9 \left(e x +d \right)^{\frac{5}{2}} A \,c^{2} d^{3} e}{8 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} \left(a \,e^{2}-c \,d^{2}\right) a^{2}}+\frac{3 \left(e x +d \right)^{\frac{5}{2}} B c \,d^{2} e^{2}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} \left(a \,e^{2}-c \,d^{2}\right) a}+\frac{\left(e x +d \right)^{\frac{5}{2}} B \,e^{4}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} \left(a \,e^{2}-c \,d^{2}\right)}-\frac{5 \left(e x +d \right)^{\frac{7}{2}} A c \,e^{3}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} \left(a \,e^{2}-c \,d^{2}\right) a}-\frac{\sqrt{e x +d}\, A d \,e^{3}}{2 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a}+\frac{5 A \,e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \left(a \,e^{2}-c \,d^{2}\right) \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{5 A \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \left(a \,e^{2}-c \,d^{2}\right) \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a}+\frac{3 \left(e x +d \right)^{\frac{7}{2}} A \,c^{2} d^{2} e}{8 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} \left(a \,e^{2}-c \,d^{2}\right) a^{2}}+\frac{3 \sqrt{e x +d}\, A c \,d^{3} e}{8 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a^{2}}-\frac{3 A c \,d^{2} e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{16 \left(a \,e^{2}-c \,d^{2}\right) \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a^{2}}+\frac{3 A c \,d^{2} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{16 \left(a \,e^{2}-c \,d^{2}\right) \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a^{2}}-\frac{\left(e x +d \right)^{\frac{7}{2}} B c d \,e^{2}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} \left(a \,e^{2}-c \,d^{2}\right) a}-\frac{\sqrt{e x +d}\, B \,d^{2} e^{2}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} a}+\frac{B d \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \left(a \,e^{2}-c \,d^{2}\right) \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{B d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \left(a \,e^{2}-c \,d^{2}\right) \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a}+\frac{3 \sqrt{e x +d}\, B \,e^{4}}{16 \left(c \,e^{2} x^{2}-a \,e^{2}\right)^{2} c}"," ",0,"13/32*e^3/a/(a*e^2-c*d^2)/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*c*d-3/8*e/a^2/(a*e^2-c*d^2)/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*c^2*d^3+1/16*e^2/a/(a*e^2-c*d^2)/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*c*d^2+1/16*e^2/a/(a*e^2-c*d^2)/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*c*d^2+13/32*e^3/a/(a*e^2-c*d^2)/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*c*d-3/8*e/a^2/(a*e^2-c*d^2)/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*c^2*d^3+9/8*e/(c*e^2*x^2-a*e^2)^2/a^2/(a*e^2-c*d^2)*(e*x+d)^(3/2)*A*c^2*d^4+1/16*e^4/(c*e^2*x^2-a*e^2)^2/(a*e^2-c*d^2)*(e*x+d)^(5/2)*B+3/16*e^4/(c*e^2*x^2-a*e^2)^2/c*(e*x+d)^(1/2)*B-1/16*e^2/(c*e^2*x^2-a*e^2)^2/a*(e*x+d)^(1/2)*B*d^2-3/32*e^4/(a*e^2-c*d^2)/(a*c*e^2)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B-3/32*e^4/(a*e^2-c*d^2)/(a*c*e^2)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B+5/32*e^3/a/(a*e^2-c*d^2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A-1/16*e^4/(c*e^2*x^2-a*e^2)^2/(a*e^2-c*d^2)*(e*x+d)^(3/2)*B*d-5/32*e^3/a/(a*e^2-c*d^2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A-1/2*e^3/(c*e^2*x^2-a*e^2)^2/a*(e*x+d)^(1/2)*A*d+7/8*e^3/(c*e^2*x^2-a*e^2)^2/a/(a*e^2-c*d^2)*(e*x+d)^(5/2)*A*c*d-3/16*e/a^2/(a*e^2-c*d^2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*c*d^2+3/8*e/(c*e^2*x^2-a*e^2)^2*c^2/a^2/(a*e^2-c*d^2)*(e*x+d)^(7/2)*A*d^2-9/8*e/(c*e^2*x^2-a*e^2)^2/a^2/(a*e^2-c*d^2)*(e*x+d)^(5/2)*A*c^2*d^3+3/16*e/a^2/(a*e^2-c*d^2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*c*d^2-3/16*e^2/(c*e^2*x^2-a*e^2)^2/a/(a*e^2-c*d^2)*(e*x+d)^(3/2)*B*c*d^3+3/16*e^2/(c*e^2*x^2-a*e^2)^2/a/(a*e^2-c*d^2)*(e*x+d)^(5/2)*B*c*d^2-23/16*e^3/(c*e^2*x^2-a*e^2)^2/a/(a*e^2-c*d^2)*(e*x+d)^(3/2)*A*c*d^2-1/16*e^2/(c*e^2*x^2-a*e^2)^2*c/a/(a*e^2-c*d^2)*(e*x+d)^(7/2)*B*d+9/16*e^5/(c*e^2*x^2-a*e^2)^2/(a*e^2-c*d^2)*(e*x+d)^(3/2)*A-5/16*e^3/(c*e^2*x^2-a*e^2)^2*c/a/(a*e^2-c*d^2)*(e*x+d)^(7/2)*A+3/8*e/(c*e^2*x^2-a*e^2)^2/a^2*c*(e*x+d)^(1/2)*A*d^3-1/32*e^2/a/(a*e^2-c*d^2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d+1/32*e^2/a/(a*e^2-c*d^2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d","B"
1462,1,1778,345,0.712000," ","int((B*x+A)/(e*x+d)^(1/2)/(-c*x^2+a)^3,x)","\frac{21 A c \,e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \sqrt{a c \,e^{2}}\, \left(a \,e^{2}+c \,d^{2}+2 \sqrt{a c \,e^{2}}\, d \right) \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{21 A c \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \sqrt{a c \,e^{2}}\, \left(-a \,e^{2}-c \,d^{2}+2 \sqrt{a c \,e^{2}}\, d \right) \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a}+\frac{3 A \,c^{2} d^{2} e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{8 \sqrt{a c \,e^{2}}\, \left(a \,e^{2}+c \,d^{2}+2 \sqrt{a c \,e^{2}}\, d \right) \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a^{2}}-\frac{3 A \,c^{2} d^{2} e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{8 \sqrt{a c \,e^{2}}\, \left(-a \,e^{2}-c \,d^{2}+2 \sqrt{a c \,e^{2}}\, d \right) \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a^{2}}+\frac{B c d \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{16 \sqrt{a c \,e^{2}}\, \left(a \,e^{2}+c \,d^{2}+2 \sqrt{a c \,e^{2}}\, d \right) \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a}-\frac{B c d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{16 \sqrt{a c \,e^{2}}\, \left(-a \,e^{2}-c \,d^{2}+2 \sqrt{a c \,e^{2}}\, d \right) \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a}+\frac{15 A c d e \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{16 \left(a \,e^{2}+c \,d^{2}+2 \sqrt{a c \,e^{2}}\, d \right) \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a^{2}}+\frac{15 A c d e \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{16 \left(-a \,e^{2}-c \,d^{2}+2 \sqrt{a c \,e^{2}}\, d \right) \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a^{2}}+\frac{5 B \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \left(a \,e^{2}+c \,d^{2}+2 \sqrt{a c \,e^{2}}\, d \right) \sqrt{\left(c d +\sqrt{a c \,e^{2}}\right) c}\, a}+\frac{5 B \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, c}{\sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}}\right)}{32 \left(-a \,e^{2}-c \,d^{2}+2 \sqrt{a c \,e^{2}}\, d \right) \sqrt{\left(-c d +\sqrt{a c \,e^{2}}\right) c}\, a}+\frac{3 \sqrt{e x +d}\, A d e}{16 \left(e x -\frac{\sqrt{a c \,e^{2}}}{c}\right)^{2} \left(c d +\sqrt{a c \,e^{2}}\right) a^{2}}-\frac{3 \left(e x +d \right)^{\frac{3}{2}} A d e}{16 \left(e x +\frac{\sqrt{a c \,e^{2}}}{c}\right)^{2} \left(a \,e^{2}+c \,d^{2}-2 \sqrt{a c \,e^{2}}\, d \right) a^{2}}+\frac{3 \sqrt{e x +d}\, A d e}{16 \left(e x +\frac{\sqrt{a c \,e^{2}}}{c}\right)^{2} \left(c d -\sqrt{a c \,e^{2}}\right) a^{2}}-\frac{3 \left(e x +d \right)^{\frac{3}{2}} A d e}{16 \left(e x -\frac{\sqrt{a c \,e^{2}}}{c}\right)^{2} \left(a \,e^{2}+c \,d^{2}+2 \sqrt{a c \,e^{2}}\, d \right) a^{2}}+\frac{7 \sqrt{e x +d}\, B \,e^{2}}{32 \left(e x +\frac{\sqrt{a c \,e^{2}}}{c}\right)^{2} \left(c d -\sqrt{a c \,e^{2}}\right) a c}-\frac{5 \left(e x +d \right)^{\frac{3}{2}} B \,e^{2}}{32 \left(e x +\frac{\sqrt{a c \,e^{2}}}{c}\right)^{2} \left(a \,e^{2}+c \,d^{2}-2 \sqrt{a c \,e^{2}}\, d \right) a c}+\frac{7 \sqrt{e x +d}\, B \,e^{2}}{32 \left(e x -\frac{\sqrt{a c \,e^{2}}}{c}\right)^{2} \left(c d +\sqrt{a c \,e^{2}}\right) a c}-\frac{5 \left(e x +d \right)^{\frac{3}{2}} B \,e^{2}}{32 \left(e x -\frac{\sqrt{a c \,e^{2}}}{c}\right)^{2} \left(a \,e^{2}+c \,d^{2}+2 \sqrt{a c \,e^{2}}\, d \right) a c}+\frac{9 \sqrt{a c \,e^{2}}\, \left(e x +d \right)^{\frac{3}{2}} A e}{32 \left(e x +\frac{\sqrt{a c \,e^{2}}}{c}\right)^{2} \left(a \,e^{2}+c \,d^{2}-2 \sqrt{a c \,e^{2}}\, d \right) a^{2} c}-\frac{11 \sqrt{a c \,e^{2}}\, \sqrt{e x +d}\, A e}{32 \left(e x +\frac{\sqrt{a c \,e^{2}}}{c}\right)^{2} \left(c d -\sqrt{a c \,e^{2}}\right) a^{2} c}-\frac{9 \sqrt{a c \,e^{2}}\, \left(e x +d \right)^{\frac{3}{2}} A e}{32 \left(e x -\frac{\sqrt{a c \,e^{2}}}{c}\right)^{2} \left(a \,e^{2}+c \,d^{2}+2 \sqrt{a c \,e^{2}}\, d \right) a^{2} c}+\frac{11 \sqrt{a c \,e^{2}}\, \sqrt{e x +d}\, A e}{32 \left(e x -\frac{\sqrt{a c \,e^{2}}}{c}\right)^{2} \left(c d +\sqrt{a c \,e^{2}}\right) a^{2} c}-\frac{\sqrt{a c \,e^{2}}\, \left(e x +d \right)^{\frac{3}{2}} B d}{16 \left(e x -\frac{\sqrt{a c \,e^{2}}}{c}\right)^{2} \left(a \,e^{2}+c \,d^{2}+2 \sqrt{a c \,e^{2}}\, d \right) a^{2} c}+\frac{\sqrt{a c \,e^{2}}\, \sqrt{e x +d}\, B d}{16 \left(e x -\frac{\sqrt{a c \,e^{2}}}{c}\right)^{2} \left(c d +\sqrt{a c \,e^{2}}\right) a^{2} c}+\frac{\sqrt{a c \,e^{2}}\, \left(e x +d \right)^{\frac{3}{2}} B d}{16 \left(e x +\frac{\sqrt{a c \,e^{2}}}{c}\right)^{2} \left(a \,e^{2}+c \,d^{2}-2 \sqrt{a c \,e^{2}}\, d \right) a^{2} c}-\frac{\sqrt{a c \,e^{2}}\, \sqrt{e x +d}\, B d}{16 \left(e x +\frac{\sqrt{a c \,e^{2}}}{c}\right)^{2} \left(c d -\sqrt{a c \,e^{2}}\right) a^{2} c}"," ",0,"15/16*e*c/a^2/(-a*e^2-c*d^2+2*(a*c*e^2)^(1/2)*d)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d+15/16*e*c/a^2/(a*e^2+c*d^2+2*(a*c*e^2)^(1/2)*d)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d+9/32*e/c*(a*c*e^2)^(1/2)/a^2/(e*x+(a*c*e^2)^(1/2)/c)^2/(a*e^2+c*d^2-2*(a*c*e^2)^(1/2)*d)*(e*x+d)^(3/2)*A-11/32*e/c*(a*c*e^2)^(1/2)/a^2/(e*x+(a*c*e^2)^(1/2)/c)^2/(c*d-(a*c*e^2)^(1/2))*(e*x+d)^(1/2)*A-21/32*e^3*c/(a*c*e^2)^(1/2)/a/(-a*e^2-c*d^2+2*(a*c*e^2)^(1/2)*d)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A-9/32*e/c*(a*c*e^2)^(1/2)/a^2/(e*x-(a*c*e^2)^(1/2)/c)^2/(a*e^2+c*d^2+2*(a*c*e^2)^(1/2)*d)*(e*x+d)^(3/2)*A+11/32*e/c*(a*c*e^2)^(1/2)/a^2/(e*x-(a*c*e^2)^(1/2)/c)^2/(c*d+(a*c*e^2)^(1/2))*(e*x+d)^(1/2)*A+21/32*e^3*c/(a*c*e^2)^(1/2)/a/(a*e^2+c*d^2+2*(a*c*e^2)^(1/2)*d)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A+1/16*e^2*c/(a*c*e^2)^(1/2)/a/(a*e^2+c*d^2+2*(a*c*e^2)^(1/2)*d)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d+3/8*e*c^2/(a*c*e^2)^(1/2)/a^2/(a*e^2+c*d^2+2*(a*c*e^2)^(1/2)*d)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^2-3/8*e*c^2/(a*c*e^2)^(1/2)/a^2/(-a*e^2-c*d^2+2*(a*c*e^2)^(1/2)*d)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*A*d^2-1/16*e^2*c/(a*c*e^2)^(1/2)/a/(-a*e^2-c*d^2+2*(a*c*e^2)^(1/2)*d)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B*d-1/16/c*(a*c*e^2)^(1/2)/a^2/(e*x-(a*c*e^2)^(1/2)/c)^2/(a*e^2+c*d^2+2*(a*c*e^2)^(1/2)*d)*(e*x+d)^(3/2)*B*d+1/16/c*(a*c*e^2)^(1/2)/a^2/(e*x-(a*c*e^2)^(1/2)/c)^2/(c*d+(a*c*e^2)^(1/2))*(e*x+d)^(1/2)*B*d+1/16/c*(a*c*e^2)^(1/2)/a^2/(e*x+(a*c*e^2)^(1/2)/c)^2/(a*e^2+c*d^2-2*(a*c*e^2)^(1/2)*d)*(e*x+d)^(3/2)*B*d-1/16/c*(a*c*e^2)^(1/2)/a^2/(e*x+(a*c*e^2)^(1/2)/c)^2/(c*d-(a*c*e^2)^(1/2))*(e*x+d)^(1/2)*B*d+3/16*e/a^2/(e*x-(a*c*e^2)^(1/2)/c)^2/(c*d+(a*c*e^2)^(1/2))*(e*x+d)^(1/2)*A*d-3/16*e/a^2/(e*x+(a*c*e^2)^(1/2)/c)^2/(a*e^2+c*d^2-2*(a*c*e^2)^(1/2)*d)*(e*x+d)^(3/2)*A*d+3/16*e/a^2/(e*x+(a*c*e^2)^(1/2)/c)^2/(c*d-(a*c*e^2)^(1/2))*(e*x+d)^(1/2)*A*d-3/16*e/a^2/(e*x-(a*c*e^2)^(1/2)/c)^2/(a*e^2+c*d^2+2*(a*c*e^2)^(1/2)*d)*(e*x+d)^(3/2)*A*d+7/32*e^2/c/a/(e*x+(a*c*e^2)^(1/2)/c)^2/(c*d-(a*c*e^2)^(1/2))*(e*x+d)^(1/2)*B-5/32*e^2/c/a/(e*x+(a*c*e^2)^(1/2)/c)^2/(a*e^2+c*d^2-2*(a*c*e^2)^(1/2)*d)*(e*x+d)^(3/2)*B+7/32*e^2/c/a/(e*x-(a*c*e^2)^(1/2)/c)^2/(c*d+(a*c*e^2)^(1/2))*(e*x+d)^(1/2)*B-5/32*e^2/c/a/(e*x-(a*c*e^2)^(1/2)/c)^2/(a*e^2+c*d^2+2*(a*c*e^2)^(1/2)*d)*(e*x+d)^(3/2)*B+5/32*e^2/a/(-a*e^2-c*d^2+2*(a*c*e^2)^(1/2)*d)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)/((-c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B+5/32*e^2/a/(a*e^2+c*d^2+2*(a*c*e^2)^(1/2)*d)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)/((c*d+(a*c*e^2)^(1/2))*c)^(1/2)*c)*B","B"
1463,1,223,128,0.193000," ","int((B*x+A)/(-B^2*e*x^2-A^2*e+2*A*B*d)/(e*x+d)^(1/2),x)","-\frac{2 \left(-\frac{\left(-A B e +\sqrt{-\left(A e -2 B d \right) A \,B^{2} e}\right) \arctanh \left(\frac{\sqrt{e x +d}\, B}{\sqrt{B^{2} d -\sqrt{-\left(A e -2 B d \right) A \,B^{2} e}}}\right)}{2 \sqrt{-\left(A e -2 B d \right) A \,B^{2} e}\, \sqrt{B^{2} d -\sqrt{-\left(A e -2 B d \right) A \,B^{2} e}}\, B^{2}}-\frac{\left(A B e +\sqrt{-\left(A e -2 B d \right) A \,B^{2} e}\right) \arctanh \left(\frac{\sqrt{e x +d}\, B}{\sqrt{B^{2} d +\sqrt{-\left(A e -2 B d \right) A \,B^{2} e}}}\right)}{2 \sqrt{-\left(A e -2 B d \right) A \,B^{2} e}\, \sqrt{B^{2} d +\sqrt{-\left(A e -2 B d \right) A \,B^{2} e}}\, B^{2}}\right) B^{2}}{e}"," ",0,"-2/e*B^2*(-1/2*(A*e*B+(-A*B^2*e*(A*e-2*B*d))^(1/2))/B^2/(-A*B^2*e*(A*e-2*B*d))^(1/2)/(B^2*d+(-A*B^2*e*(A*e-2*B*d))^(1/2))^(1/2)*arctanh(B*(e*x+d)^(1/2)/(B^2*d+(-A*B^2*e*(A*e-2*B*d))^(1/2))^(1/2))-1/2*(-A*e*B+(-A*B^2*e*(A*e-2*B*d))^(1/2))/B^2/(-A*B^2*e*(A*e-2*B*d))^(1/2)/(B^2*d-(-A*B^2*e*(A*e-2*B*d))^(1/2))^(1/2)*arctanh(B*(e*x+d)^(1/2)/(B^2*d-(-A*B^2*e*(A*e-2*B*d))^(1/2))^(1/2)))","A"
1464,1,128,101,0.330000," ","int(2*(B*x+A)/(x^2+1)/(2*(A^2*e-B^2*e)/A/B+4*e*x)^(1/2),x)","\frac{\sqrt{2}\, A B \arctan \left(\frac{2 \sqrt{2 e x +\frac{\left(A^{2}-B^{2}\right) e}{A B}}\, A B -2 \sqrt{A^{3} B e}}{2 \sqrt{A B e}\, B}\right)}{\sqrt{A B e}}+\frac{\sqrt{2}\, A B \arctan \left(\frac{2 \sqrt{2 e x +\frac{\left(A^{2}-B^{2}\right) e}{A B}}\, A B +2 \sqrt{A^{3} B e}}{2 \sqrt{A B e}\, B}\right)}{\sqrt{A B e}}"," ",0,"2^(1/2)*A*B/(A*B*e)^(1/2)*arctan(1/2*(2*(2*e*x+e*(A^2-B^2)/A/B)^(1/2)*A*B+2*(A^3*B*e)^(1/2))/B/(A*B*e)^(1/2))+2^(1/2)*A*B/(A*B*e)^(1/2)*arctan(1/2*(2*(2*e*x+e*(A^2-B^2)/A/B)^(1/2)*A*B-2*(A^3*B*e)^(1/2))/B/(A*B*e)^(1/2))","A"
1465,1,95,54,0.094000," ","int((B*x+A)/(-x^2+1)/(e*x+d)^(1/2),x)","\frac{A \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d +e}}\right)}{\sqrt{d +e}}+\frac{A \arctan \left(\frac{\sqrt{e x +d}}{\sqrt{-d +e}}\right)}{\sqrt{-d +e}}+\frac{B \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d +e}}\right)}{\sqrt{d +e}}-\frac{B \arctan \left(\frac{\sqrt{e x +d}}{\sqrt{-d +e}}\right)}{\sqrt{-d +e}}"," ",0,"1/(d+e)^(1/2)*arctanh((e*x+d)^(1/2)/(d+e)^(1/2))*A+1/(d+e)^(1/2)*arctanh((e*x+d)^(1/2)/(d+e)^(1/2))*B+1/(-d+e)^(1/2)*arctan((e*x+d)^(1/2)/(-d+e)^(1/2))*A-1/(-d+e)^(1/2)*arctan((e*x+d)^(1/2)/(-d+e)^(1/2))*B","A"
1466,1,3511,353,0.277000," ","int((B*x+A)/(x^2+1)/(e*x+d)^(1/2),x)","\text{output too large to display}"," ",0,"-1/(d^2+e^2)^(3/2)*e^2/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)+(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*B*d+1/(d^2+e^2)^(3/2)/e/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)+(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*A*d^4-(d^2+e^2)^(1/2)/e^2/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)+(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*B*d+1/(d^2+e^2)^(1/2)/e^2/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)+(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*B*d^3+1/(d^2+e^2)/e^2/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)+(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*B*d^4-1/4/(d^2+e^2)/e^2*ln(e*x+d+(e*x+d)^(1/2)*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)+(d^2+e^2)^(1/2))*B*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)*d^3-(d^2+e^2)^(1/2)/e^2/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)-(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*B*d+1/(d^2+e^2)^(1/2)/e^2/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)-(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*B*d^3+1/(d^2+e^2)/e^2/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)-(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*B*d^4-1/4/(d^2+e^2)^(3/2)/e*ln(e*x+d+(e*x+d)^(1/2)*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)+(d^2+e^2)^(1/2))*A*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)*d^3-1/4/(d^2+e^2)^(3/2)*e*ln(e*x+d+(e*x+d)^(1/2)*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)+(d^2+e^2)^(1/2))*A*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)*d+1/4/(d^2+e^2)^(3/2)/e*ln(e*x+d-(e*x+d)^(1/2)*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)+(d^2+e^2)^(1/2))*A*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)*d^3+1/4/(d^2+e^2)^(3/2)*e*ln(e*x+d-(e*x+d)^(1/2)*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)+(d^2+e^2)^(1/2))*A*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)*d+1/4/(d^2+e^2)/e*ln(e*x+d+(e*x+d)^(1/2)*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)+(d^2+e^2)^(1/2))*A*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)*d^2-1/(d^2+e^2)^(1/2)/e/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)+(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*A*d^2+3/(d^2+e^2)^(3/2)*e/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)+(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*A*d^2-1/(d^2+e^2)^(1/2)/e/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)-(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*A*d^2-1/4/(d^2+e^2)/e*ln(e*x+d-(e*x+d)^(1/2)*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)+(d^2+e^2)^(1/2))*A*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)*d^2-1/(d^2+e^2)^(3/2)*e^2/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)-(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*B*d+1/(d^2+e^2)^(3/2)/e/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)-(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*A*d^4+1/4/(d^2+e^2)/e^2*ln(e*x+d-(e*x+d)^(1/2)*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)+(d^2+e^2)^(1/2))*B*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)*d^3+1/4/(d^2+e^2)*e*ln(e*x+d+(e*x+d)^(1/2)*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)+(d^2+e^2)^(1/2))*A*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)+1/(d^2+e^2)^(1/2)/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)-(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*B*d+2/(d^2+e^2)/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)-(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*B*d^2+1/4/(d^2+e^2)*ln(e*x+d-(e*x+d)^(1/2)*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)+(d^2+e^2)^(1/2))*B*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)*d+1/4/(d^2+e^2)^(3/2)*e^2*ln(e*x+d-(e*x+d)^(1/2)*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)+(d^2+e^2)^(1/2))*B*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)+2/(d^2+e^2)^(3/2)*e^3/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)-(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*A-1/(d^2+e^2)^(3/2)/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)-(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*B*d^3-1/(d^2+e^2)^(1/2)*e/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)-(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*A+1/4/(d^2+e^2)^(3/2)*ln(e*x+d-(e*x+d)^(1/2)*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)+(d^2+e^2)^(1/2))*B*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)*d^2-1/4/e^2*ln(e*x+d-(e*x+d)^(1/2)*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)+(d^2+e^2)^(1/2))*B*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)*d-1/4/(d^2+e^2)*e*ln(e*x+d-(e*x+d)^(1/2)*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)+(d^2+e^2)^(1/2))*A*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)-1/e^2/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)-(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*B*d^2+1/(d^2+e^2)*e^2/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)-(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*B+3/(d^2+e^2)^(3/2)*e/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)-(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*A*d^2-1/4/(d^2+e^2)*ln(e*x+d+(e*x+d)^(1/2)*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)+(d^2+e^2)^(1/2))*B*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)*d+2/(d^2+e^2)^(3/2)*e^3/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)+(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*A+1/(d^2+e^2)*e^2/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)+(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*B+1/(d^2+e^2)^(1/2)/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)+(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*B*d+2/(d^2+e^2)/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)+(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*B*d^2-1/4/(d^2+e^2)^(3/2)*e^2*ln(e*x+d+(e*x+d)^(1/2)*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)+(d^2+e^2)^(1/2))*B*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)-1/(d^2+e^2)^(3/2)/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)+(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*B*d^3-1/(d^2+e^2)^(1/2)*e/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)+(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*A-1/e^2/(2*(d^2+e^2)^(1/2)-2*d)^(1/2)*arctan((2*(e*x+d)^(1/2)+(2*(d^2+e^2)^(1/2)+2*d)^(1/2))/(2*(d^2+e^2)^(1/2)-2*d)^(1/2))*B*d^2+1/4/e^2*ln(e*x+d+(e*x+d)^(1/2)*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)+(d^2+e^2)^(1/2))*B*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)*d-1/4/(d^2+e^2)^(3/2)*ln(e*x+d+(e*x+d)^(1/2)*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)+(d^2+e^2)^(1/2))*B*(2*(d^2+e^2)^(1/2)+2*d)^(1/2)*d^2","B"
1467,1,429,144,0.139000," ","int((-x+1)*(x+1)^(1/2)/(x^2+1),x)","\frac{\left(2+2 \sqrt{2}\right) \sqrt{2}\, \arctan \left(\frac{2 \sqrt{x +1}-\sqrt{2+2 \sqrt{2}}}{\sqrt{-2+2 \sqrt{2}}}\right)}{2 \sqrt{-2+2 \sqrt{2}}}-\frac{\left(2+2 \sqrt{2}\right) \arctan \left(\frac{2 \sqrt{x +1}-\sqrt{2+2 \sqrt{2}}}{\sqrt{-2+2 \sqrt{2}}}\right)}{\sqrt{-2+2 \sqrt{2}}}+\frac{2 \sqrt{2}\, \arctan \left(\frac{2 \sqrt{x +1}-\sqrt{2+2 \sqrt{2}}}{\sqrt{-2+2 \sqrt{2}}}\right)}{\sqrt{-2+2 \sqrt{2}}}+\frac{\left(2+2 \sqrt{2}\right) \sqrt{2}\, \arctan \left(\frac{2 \sqrt{x +1}+\sqrt{2+2 \sqrt{2}}}{\sqrt{-2+2 \sqrt{2}}}\right)}{2 \sqrt{-2+2 \sqrt{2}}}-\frac{\left(2+2 \sqrt{2}\right) \arctan \left(\frac{2 \sqrt{x +1}+\sqrt{2+2 \sqrt{2}}}{\sqrt{-2+2 \sqrt{2}}}\right)}{\sqrt{-2+2 \sqrt{2}}}+\frac{2 \sqrt{2}\, \arctan \left(\frac{2 \sqrt{x +1}+\sqrt{2+2 \sqrt{2}}}{\sqrt{-2+2 \sqrt{2}}}\right)}{\sqrt{-2+2 \sqrt{2}}}+\frac{\sqrt{2+2 \sqrt{2}}\, \sqrt{2}\, \ln \left(x +1+\sqrt{2}-\sqrt{x +1}\, \sqrt{2+2 \sqrt{2}}\right)}{4}-\frac{\sqrt{2+2 \sqrt{2}}\, \ln \left(x +1+\sqrt{2}-\sqrt{x +1}\, \sqrt{2+2 \sqrt{2}}\right)}{2}-\frac{\sqrt{2+2 \sqrt{2}}\, \sqrt{2}\, \ln \left(x +1+\sqrt{2}+\sqrt{x +1}\, \sqrt{2+2 \sqrt{2}}\right)}{4}+\frac{\sqrt{2+2 \sqrt{2}}\, \ln \left(x +1+\sqrt{2}+\sqrt{x +1}\, \sqrt{2+2 \sqrt{2}}\right)}{2}-2 \sqrt{x +1}"," ",0,"-2*(x+1)^(1/2)-1/4*ln(x+1+2^(1/2)+(x+1)^(1/2)*(2+2*2^(1/2))^(1/2))*(2+2*2^(1/2))^(1/2)*2^(1/2)+1/2*ln(x+1+2^(1/2)+(x+1)^(1/2)*(2+2*2^(1/2))^(1/2))*(2+2*2^(1/2))^(1/2)+1/2/(-2+2*2^(1/2))^(1/2)*arctan((2*(x+1)^(1/2)+(2+2*2^(1/2))^(1/2))/(-2+2*2^(1/2))^(1/2))*(2+2*2^(1/2))*2^(1/2)-1/(-2+2*2^(1/2))^(1/2)*arctan((2*(x+1)^(1/2)+(2+2*2^(1/2))^(1/2))/(-2+2*2^(1/2))^(1/2))*(2+2*2^(1/2))+2/(-2+2*2^(1/2))^(1/2)*arctan((2*(x+1)^(1/2)+(2+2*2^(1/2))^(1/2))/(-2+2*2^(1/2))^(1/2))*2^(1/2)+1/4*ln(x+1+2^(1/2)-(x+1)^(1/2)*(2+2*2^(1/2))^(1/2))*(2+2*2^(1/2))^(1/2)*2^(1/2)-1/2*ln(x+1+2^(1/2)-(x+1)^(1/2)*(2+2*2^(1/2))^(1/2))*(2+2*2^(1/2))^(1/2)+1/2/(-2+2*2^(1/2))^(1/2)*arctan((2*(x+1)^(1/2)-(2+2*2^(1/2))^(1/2))/(-2+2*2^(1/2))^(1/2))*(2+2*2^(1/2))*2^(1/2)-1/(-2+2*2^(1/2))^(1/2)*arctan((2*(x+1)^(1/2)-(2+2*2^(1/2))^(1/2))/(-2+2*2^(1/2))^(1/2))*(2+2*2^(1/2))+2/(-2+2*2^(1/2))^(1/2)*arctan((2*(x+1)^(1/2)-(2+2*2^(1/2))^(1/2))/(-2+2*2^(1/2))^(1/2))*2^(1/2)","B"
1468,1,52,33,0.156000," ","int((x+3)/(x^2+1)/(3*x+4)^(1/2),x)","\sqrt{2}\, \arctan \left(\frac{\left(2 \sqrt{3 x +4}-3 \sqrt{2}\right) \sqrt{2}}{2}\right)+\sqrt{2}\, \arctan \left(\frac{\left(2 \sqrt{3 x +4}+3 \sqrt{2}\right) \sqrt{2}}{2}\right)"," ",0,"2^(1/2)*arctan(1/2*(2*(3*x+4)^(1/2)+3*2^(1/2))*2^(1/2))+2^(1/2)*arctan(1/2*(2*(3*x+4)^(1/2)-3*2^(1/2))*2^(1/2))","A"
1469,1,48,42,0.067000," ","int((1-3*x)/(x^2+1)/(3*x+4)^(1/2),x)","-\frac{\sqrt{2}\, \ln \left(3 x +9-3 \sqrt{2}\, \sqrt{3 x +4}\right)}{2}+\frac{\sqrt{2}\, \ln \left(3 x +9+3 \sqrt{2}\, \sqrt{3 x +4}\right)}{2}"," ",0,"1/2*2^(1/2)*ln(3*x+9+3*2^(1/2)*(3*x+4)^(1/2))-1/2*2^(1/2)*ln(3*x+9-3*2^(1/2)*(3*x+4)^(1/2))","A"
1470,1,22,21,0.052000," ","int((x+2)/(x^2+1)/(4*x+3)^(1/2),x)","\arctan \left(-2+\sqrt{4 x +3}\right)+\arctan \left(2+\sqrt{4 x +3}\right)"," ",0,"arctan(-2+(4*x+3)^(1/2))+arctan(2+(4*x+3)^(1/2))","A"
1471,1,119,35,0.439000," ","int((x-2)/(x^2-8)/(x-3)^(1/2),x)","\frac{2 \arctan \left(\frac{2 \sqrt{x -3}}{-2+2 \sqrt{2}}\right)}{-2+2 \sqrt{2}}-\frac{\sqrt{2}\, \arctan \left(\frac{2 \sqrt{x -3}}{-2+2 \sqrt{2}}\right)}{-2+2 \sqrt{2}}+\frac{\sqrt{2}\, \arctan \left(\frac{2 \sqrt{x -3}}{2+2 \sqrt{2}}\right)}{2+2 \sqrt{2}}+\frac{2 \arctan \left(\frac{2 \sqrt{x -3}}{2+2 \sqrt{2}}\right)}{2+2 \sqrt{2}}"," ",0,"2/(-2+2*2^(1/2))*arctan(2*(x-3)^(1/2)/(-2+2*2^(1/2)))-2^(1/2)/(-2+2*2^(1/2))*arctan(2*(x-3)^(1/2)/(-2+2*2^(1/2)))+2^(1/2)/(2+2*2^(1/2))*arctan(2*(x-3)^(1/2)/(2+2*2^(1/2)))+2/(2+2*2^(1/2))*arctan(2*(x-3)^(1/2)/(2+2*2^(1/2)))","B"
1472,1,2549,366,0.099000," ","int((B*x+A)*(e*x+d)^(1/2)*(c*x^2+a)^(1/2),x)","-\frac{2 \sqrt{e x +d}\, \sqrt{c \,x^{2}+a}\, \left(-15 B \,c^{3} e^{5} x^{5}-21 A \,c^{3} e^{5} x^{4}-18 B \,c^{3} d \,e^{4} x^{4}-28 A \,c^{3} d \,e^{4} x^{3}-25 B a \,c^{2} e^{5} x^{3}+B \,c^{3} d^{2} e^{3} x^{3}-21 A a \,c^{2} e^{5} x^{2}-7 A \,c^{3} d^{2} e^{3} x^{2}-28 B a \,c^{2} d \,e^{4} x^{2}+4 B \,c^{3} d^{3} e^{2} x^{2}+42 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A \,a^{2} c \,e^{5} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-42 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A \,a^{2} c \,e^{5} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+28 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A a \,c^{2} d^{2} e^{3} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-42 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A a \,c^{2} d^{2} e^{3} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-28 A a \,c^{2} d \,e^{4} x -14 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A \,c^{3} d^{4} e \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+16 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B \,a^{2} c d \,e^{4} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-6 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B \,a^{2} c d \,e^{4} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-10 B \,a^{2} c \,e^{5} x +24 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B a \,c^{2} d^{3} e^{2} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-6 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B a \,c^{2} d^{3} e^{2} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+B a \,c^{2} d^{2} e^{3} x +8 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B \,c^{3} d^{5} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-7 A a \,c^{2} d^{2} e^{3}+14 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{-a c}\, A a c d \,e^{4} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+14 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{-a c}\, A \,c^{2} d^{3} e^{2} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-10 B \,a^{2} c d \,e^{4}-10 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{-a c}\, B \,a^{2} e^{5} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+4 B a \,c^{2} d^{3} e^{2}-18 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{-a c}\, B a c \,d^{2} e^{3} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-8 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{-a c}\, B \,c^{2} d^{4} e \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)\right)}{105 \left(c e \,x^{3}+c d \,x^{2}+a e x +a d \right) c^{2} e^{4}}"," ",0,"-2/105*(e*x+d)^(1/2)*(c*x^2+a)^(1/2)*(B*x^3*c^3*d^2*e^3-18*B*x^4*c^3*d*e^4-28*A*x^3*c^3*d*e^4+B*x*a*c^2*d^2*e^3-28*B*x^2*a*c^2*d*e^4-28*A*x*a*c^2*d*e^4-21*A*x^2*a*c^2*e^5-15*B*x^5*c^3*e^5-21*A*x^4*c^3*e^5-7*A*x^2*c^3*d^2*e^3-14*A*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^3*d^4*e+4*B*x^2*c^3*d^3*e^2-10*B*x*a^2*c*e^5-25*B*x^3*a*c^2*e^5-10*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*(-a*c)^(1/2)*a^2*e^5+8*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^3*d^5+42*A*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a^2*c*e^5-42*A*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a^2*c*e^5-7*A*a*c^2*d^2*e^3-10*B*a^2*c*d*e^4+4*B*a*c^2*d^3*e^2-8*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*(-a*c)^(1/2)*c^2*d^4*e+28*A*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c^2*d^2*e^3-6*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a^2*c*d*e^4-42*A*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c^2*d^2*e^3+14*A*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*(-a*c)^(1/2)*c^2*d^3*e^2+24*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c^2*d^3*e^2+16*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a^2*c*d*e^4-6*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c^2*d^3*e^2+14*A*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*(-a*c)^(1/2)*a*c*d*e^4-18*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*(-a*c)^(1/2)*a*c*d^2*e^3)/(c*e*x^3+c*d*x^2+a*e*x+a*d)/e^4/c^2","B"
1473,1,1826,299,0.111000," ","int((B*x+A)*(c*x^2+a)^(1/2)/(e*x+d)^(1/2),x)","-\frac{2 \sqrt{c \,x^{2}+a}\, \sqrt{e x +d}\, \left(-3 B \,c^{2} e^{4} x^{4}-5 A \,c^{2} e^{4} x^{3}+B \,c^{2} d \,e^{3} x^{3}-5 A \,c^{2} d \,e^{3} x^{2}-3 B a c \,e^{4} x^{2}+4 B \,c^{2} d^{2} e^{2} x^{2}-10 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A a c d \,e^{3} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-5 A a c \,e^{4} x -10 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A \,c^{2} d^{3} e \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+6 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B \,a^{2} e^{4} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-6 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B \,a^{2} e^{4} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+14 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B a c \,d^{2} e^{2} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-6 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B a c \,d^{2} e^{2} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+B a c d \,e^{3} x +8 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B \,c^{2} d^{4} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-5 A a c d \,e^{3}+10 \sqrt{-a c}\, \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A a \,e^{4} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+10 \sqrt{-a c}\, \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A c \,d^{2} e^{2} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+4 B a c \,d^{2} e^{2}-8 \sqrt{-a c}\, \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B a d \,e^{3} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-8 \sqrt{-a c}\, \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B c \,d^{3} e \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)\right)}{15 \left(c e \,x^{3}+c d \,x^{2}+a e x +a d \right) c \,e^{4}}"," ",0,"-2/15*(c*x^2+a)^(1/2)*(e*x+d)^(1/2)/c*(10*A*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*e^4+10*A*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c*d^2*e^2-10*A*a*c*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*d*e^3-10*A*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^2*d^3*e-8*B*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*d*e^3-8*B*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c*d^3*e-6*B*a^2*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*e^4-6*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*d^2*e^2+6*B*a^2*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*e^4+14*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*d^2*e^2+8*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^2*d^4-3*B*x^4*c^2*e^4-5*A*x^3*c^2*e^4+B*x^3*c^2*d*e^3-5*A*x^2*c^2*d*e^3-3*B*x^2*a*c*e^4+4*B*x^2*c^2*d^2*e^2-5*A*x*a*c*e^4+B*x*a*c*d*e^3-5*A*a*c*d*e^3+4*B*a*c*d^2*e^2)/(c*e*x^3+c*d*x^2+a*e*x+a*d)/e^4","B"
1474,1,1465,286,0.092000," ","int((B*x+A)*(c*x^2+a)^(1/2)/(e*x+d)^(3/2),x)","-\frac{2 \sqrt{c \,x^{2}+a}\, \sqrt{e x +d}\, \left(-B \,c^{2} e^{3} x^{3}+3 A \,c^{2} e^{3} x^{2}-4 B \,c^{2} d \,e^{2} x^{2}+6 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A a c \,e^{3} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-6 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A a c \,e^{3} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+6 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A \,c^{2} d^{2} e \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-8 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B a c d \,e^{2} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+6 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B a c d \,e^{2} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-B a c \,e^{3} x -8 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B \,c^{2} d^{3} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+3 A a c \,e^{3}-6 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{-a c}\, A c d \,e^{2} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-4 B a c d \,e^{2}+2 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{-a c}\, B a \,e^{3} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+8 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{-a c}\, B c \,d^{2} e \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)\right)}{3 \left(c e \,x^{3}+c d \,x^{2}+a e x +a d \right) c \,e^{4}}"," ",0,"-2/3*(c*x^2+a)^(1/2)*(e*x+d)^(1/2)*(6*A*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*e^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+6*A*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^2*d^2*e*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-6*A*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*e^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-6*A*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c*d*e^2*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*(-a*c)^(1/2)-8*B*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*d*e^2*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-8*B*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^2*d^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+6*B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*d*e^2*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+2*B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*e^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*(-a*c)^(1/2)+8*B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c*d^2*e*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*(-a*c)^(1/2)-B*x^3*c^2*e^3+3*A*x^2*c^2*e^3-4*B*x^2*c^2*d*e^2-B*x*a*c*e^3+3*a*A*e^3*c-4*a*B*d*e^2*c)/c/(c*e*x^3+c*d*x^2+a*e*x+a*d)/e^4","B"
1475,1,3552,354,0.107000," ","int((B*x+A)*(c*x^2+a)^(1/2)/(e*x+d)^(5/2),x)","\text{output too large to display}"," ",0,"2/3*(2*A*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*x*c^2*d^3*e^2*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-2*A*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*x*a*e^5*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-4*B*d^3*a*c*e^2+A*d^2*a*c*e^3-5*B*a*c*d^2*e^3*x+2*A*a*c*d*e^4*x-2*B*a*c*d*e^4*x^2-A*a*c*e^5*x^2+A*c^2*d^2*e^3*x^2-4*B*c^2*d^3*e^2*x^2+2*A*c^2*d*e^4*x^3-3*B*a*c*e^5*x^3-5*B*c^2*d^2*e^3*x^3-A*a^2*e^5-2*B*a^2*d*e^4-6*B*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*x*a^2*e^5*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+6*B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*d^3*e^2*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+8*B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*d^2*e^3*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+8*B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c*d^4*e*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-14*B*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*d^3*e^2*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+6*B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a^2*d*e^4*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+2*A*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^2*d^4*e*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-6*B*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a^2*d*e^4*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+6*B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*x*a^2*e^5*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-3*B*x*a^2*e^5-8*B*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*x*c^2*d^4*e*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+2*A*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*d^2*e^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-2*A*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c*d^3*e^2*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-2*A*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*d*e^4*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+2*A*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*x*a*c*d*e^4*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-2*A*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*x*c*d^2*e^3*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+8*B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*x*c*d^3*e^2*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-14*B*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*x*a*c*d^2*e^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-8*B*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^2*d^5*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+8*B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*x*a*d*e^4*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+6*B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*x*a*c*d^2*e^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2))/(c*x^2+a)^(1/2)/(a*e^2+c*d^2)/e^4/(e*x+d)^(3/2)","B"
1476,1,3113,426,0.085000," ","int((B*x+A)*(c*x^2+a)^(3/2)/(e*x+d)^(1/2),x)","\text{output too large to display}"," ",0,"-2/315*(c*x^2+a)^(1/2)*(e*x+d)^(1/2)/c*(64*B*d^4*a*c^2*e^2-72*A*d^3*a*c^2*e^3-18*A*x^3*c^3*d^2*e^4+16*B*x^3*c^3*d^3*e^3-72*A*x^2*c^3*d^3*e^3-77*B*x^2*a^2*c*e^6+64*B*x^2*c^3*d^4*e^2-135*A*x*a^2*c*e^6-18*A*x*a*c^2*d^2*e^4-126*A*x^2*a*c^2*d*e^5+34*B*x^3*a*c^2*d*e^5-135*A*a^2*c*d*e^5+106*B*a^2*c*d^2*e^4+180*A*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a^2*e^6+108*A*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a^2*c*d*e^5+108*A*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c^2*d^3*e^3-288*A*a^2*c*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*d*e^5-432*A*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c^2*d^3*e^3-132*B*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a^2*d*e^5-128*B*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^2*d^5*e-180*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a^2*c*d^2*e^4-96*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c^2*d^4*e^2-8*B*x^4*c^3*d^2*e^4+29*B*x*a^2*c*d*e^5+16*B*x*a*c^2*d^3*e^3+98*B*x^2*a*c^2*d^2*e^4-144*A*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^3*d^5*e+5*B*x^5*c^3*d*e^5+9*A*x^4*c^3*d*e^5-112*B*x^4*a*c^2*e^6-180*A*x^3*a*c^2*e^6+324*A*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*d^2*e^4-260*B*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*d^3*e^3-35*B*x^6*c^3*e^6-45*A*x^5*c^3*e^6+312*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a^2*c*d^2*e^4+356*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c^2*d^4*e^2+144*A*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^2*d^4*e^2-84*B*a^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*e^6+84*B*a^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*e^6+128*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^3*d^6)/e^6/(c*e*x^3+c*d*x^2+a*e*x+a*d)","B"
1477,1,2561,376,0.100000," ","int((B*x+A)*(c*x^2+a)^(3/2)/(e*x+d)^(3/2),x)","\frac{2 \sqrt{c \,x^{2}+a}\, \sqrt{e x +d}\, \left(5 B \,c^{3} e^{5} x^{5}+7 A \,c^{3} e^{5} x^{4}-8 B \,c^{3} d \,e^{4} x^{4}-14 A \,c^{3} d \,e^{4} x^{3}+20 B a \,c^{2} e^{5} x^{3}+16 B \,c^{3} d^{2} e^{3} x^{3}-28 A a \,c^{2} e^{5} x^{2}-56 A \,c^{3} d^{2} e^{3} x^{2}+42 B a \,c^{2} d \,e^{4} x^{2}+64 B \,c^{3} d^{3} e^{2} x^{2}-84 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A \,a^{2} c \,e^{5} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+84 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A \,a^{2} c \,e^{5} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-196 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A a \,c^{2} d^{2} e^{3} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+84 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A a \,c^{2} d^{2} e^{3} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-14 A a \,c^{2} d \,e^{4} x -112 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A \,c^{3} d^{4} e \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+116 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B \,a^{2} c d \,e^{4} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-96 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B \,a^{2} c d \,e^{4} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+15 B \,a^{2} c \,e^{5} x +244 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B a \,c^{2} d^{3} e^{2} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-96 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B a \,c^{2} d^{3} e^{2} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+16 B a \,c^{2} d^{2} e^{3} x +128 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B \,c^{3} d^{5} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-35 A \,a^{2} c \,e^{5}-56 A a \,c^{2} d^{2} e^{3}+112 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{-a c}\, A a c d \,e^{4} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+112 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{-a c}\, A \,c^{2} d^{3} e^{2} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+50 B \,a^{2} c d \,e^{4}-20 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{-a c}\, B \,a^{2} e^{5} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+64 B a \,c^{2} d^{3} e^{2}-148 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{-a c}\, B a c \,d^{2} e^{3} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-128 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{-a c}\, B \,c^{2} d^{4} e \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)\right)}{35 \left(c e \,x^{3}+c d \,x^{2}+a e x +a d \right) c \,e^{6}}"," ",0,"2/35*(c*x^2+a)^(1/2)*(e*x+d)^(1/2)*(16*B*c^3*d^2*e^3*x^3-8*B*c^3*d*e^4*x^4-14*A*c^3*d*e^4*x^3+16*B*a*c^2*d^2*e^3*x+42*B*a*c^2*d*e^4*x^2-14*A*a*c^2*d*e^4*x-28*A*a*c^2*e^5*x^2+5*B*c^3*e^5*x^5+7*A*c^3*e^5*x^4-56*A*c^3*d^2*e^3*x^2-112*A*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^3*d^4*e+64*B*c^3*d^3*e^2*x^2+15*B*a^2*c*e^5*x+20*B*a*c^2*e^5*x^3-20*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*(-a*c)^(1/2)*a^2*e^5+128*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^3*d^5-84*A*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a^2*c*e^5+84*A*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a^2*c*e^5-56*A*a*c^2*d^2*e^3+50*B*a^2*c*d*e^4+64*B*a*c^2*d^3*e^2-128*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*(-a*c)^(1/2)*c^2*d^4*e-196*A*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c^2*d^2*e^3-96*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a^2*c*d*e^4+84*A*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c^2*d^2*e^3+112*A*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*(-a*c)^(1/2)*c^2*d^3*e^2+244*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c^2*d^3*e^2+116*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a^2*c*d*e^4-96*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c^2*d^3*e^2-35*A*a^2*c*e^5+112*A*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*(-a*c)^(1/2)*a*c*d*e^4-148*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*(-a*c)^(1/2)*a*c*d^2*e^3)/c/e^6/(c*e*x^3+c*d*x^2+a*e*x+a*d)","B"
1478,1,3868,365,0.118000," ","int((B*x+A)*(c*x^2+a)^(3/2)/(e*x+d)^(5/2),x)","\text{output too large to display}"," ",0,"2/15*(5*A*c^2*e^5*x^4+80*A*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*x*c^2*d^3*e^2*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-20*A*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*x*a*e^5*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-64*B*d^3*a*c*e^2+40*A*d^2*a*c*e^3-80*B*a*c*d^2*e^3*x+50*A*a*c*d*e^4*x-18*B*a*c*d*e^4*x^2+40*A*c^2*d^2*e^3*x^2-64*B*c^2*d^3*e^2*x^2-8*B*c^2*d*e^4*x^4+50*A*c^2*d*e^4*x^3-12*B*a*c*e^5*x^3-80*B*c^2*d^2*e^3*x^3-5*A*a^2*e^5-10*B*a^2*d*e^4-36*B*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*x*a^2*e^5*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-60*A*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*x*a*c*d*e^4*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+96*B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*d^3*e^2*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+68*B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*d^2*e^3*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+128*B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c*d^4*e*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-164*B*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*d^3*e^2*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+36*B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a^2*d*e^4*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+80*A*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^2*d^4*e*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-36*B*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a^2*d*e^4*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+36*B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*x*a^2*e^5*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-15*B*x*a^2*e^5-128*B*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*x*c^2*d^4*e*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+80*A*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*d^2*e^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-80*A*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c*d^3*e^2*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-20*A*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*d*e^4*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+3*B*x^5*c^2*e^5-60*A*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*d^2*e^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+80*A*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*x*a*c*d*e^4*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-80*A*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*x*c*d^2*e^3*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+128*B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*x*c*d^3*e^2*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-164*B*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*x*a*c*d^2*e^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-128*B*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^2*d^5*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+68*B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*x*a*d*e^4*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+96*B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*x*a*c*d^2*e^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2))/(c*x^2+a)^(1/2)/e^6/(e*x+d)^(3/2)","B"
1479,1,7383,469,0.129000," ","int((B*x+A)*(c*x^2+a)^(3/2)/(e*x+d)^(7/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
1480,1,2127,316,0.158000," ","int((B*x+A)*(e*x+d)^(3/2)/(c*x^2+a)^(1/2),x)","\frac{2 \sqrt{e x +d}\, \sqrt{c \,x^{2}+a}\, \left(3 B \,c^{2} e^{4} x^{4}+5 A \,c^{2} e^{4} x^{3}+9 B \,c^{2} d \,e^{3} x^{3}+5 A \,c^{2} d \,e^{3} x^{2}+3 B a c \,e^{4} x^{2}+6 B \,c^{2} d^{2} e^{2} x^{2}-20 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A a c d \,e^{3} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+15 \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, A a c d \,e^{3} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+5 A a c \,e^{4} x -20 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A \,c^{2} d^{3} e \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+15 \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, A \,c^{2} d^{3} e \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+9 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B \,a^{2} e^{4} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-9 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B \,a^{2} e^{4} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+6 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B a c \,d^{2} e^{2} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-9 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B a c \,d^{2} e^{2} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+9 B a c d \,e^{3} x -3 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B \,c^{2} d^{4} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+5 A a c d \,e^{3}+5 \sqrt{-a c}\, \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A a \,e^{4} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+5 \sqrt{-a c}\, \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A c \,d^{2} e^{2} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+6 B a c \,d^{2} e^{2}+3 \sqrt{-a c}\, \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B a d \,e^{3} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+3 \sqrt{-a c}\, \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B c \,d^{3} e \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)\right)}{15 \left(c e \,x^{3}+c d \,x^{2}+a e x +a d \right) c^{2} e^{2}}"," ",0,"2/15*(e*x+d)^(1/2)*(c*x^2+a)^(1/2)/c^2*(5*A*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*e^4+5*A*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c*d^2*e^2+15*A*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*a*c*d*e^3+15*A*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*c^2*d^3*e-20*A*a*c*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*d*e^3-20*A*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^2*d^3*e+3*B*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*d*e^3+3*B*(-a*c)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c*d^3*e-9*B*a^2*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*e^4-9*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*d^2*e^2+9*B*a^2*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*e^4+6*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*d^2*e^2-3*B*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^2*d^4+3*B*c^2*e^4*x^4+5*A*c^2*e^4*x^3+9*B*c^2*d*e^3*x^3+5*A*c^2*d*e^3*x^2+3*B*a*c*e^4*x^2+6*B*c^2*d^2*e^2*x^2+5*A*a*c*e^4*x+9*B*a*c*d*e^3*x+5*A*a*c*d*e^3+6*B*a*c*d^2*e^2)/e^2/(c*e*x^3+c*d*x^2+a*e*x+a*d)","B"
1481,1,1286,265,0.159000," ","int((B*x+A)*(e*x+d)^(1/2)/(c*x^2+a)^(1/2),x)","\frac{2 \sqrt{e x +d}\, \sqrt{c \,x^{2}+a}\, \left(B \,c^{2} e^{3} x^{3}+B \,c^{2} d \,e^{2} x^{2}-3 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A a c \,e^{3} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+3 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A a c \,e^{3} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-3 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A \,c^{2} d^{2} e \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+3 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A \,c^{2} d^{2} e \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B a c d \,e^{2} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+B a c \,e^{3} x -\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B \,c^{2} d^{3} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+B a c d \,e^{2}+\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{-a c}\, B a \,e^{3} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{-a c}\, B c \,d^{2} e \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)\right)}{3 \left(c e \,x^{3}+c d \,x^{2}+a e x +a d \right) c^{2} e^{2}}"," ",0,"2/3*(e*x+d)^(1/2)*(c*x^2+a)^(1/2)*(3*A*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*e^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+3*A*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^2*d^2*e-3*A*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*e^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-3*A*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^2*d^2*e*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*e^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*(-a*c)^(1/2)+B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c*d^2*e*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*(-a*c)^(1/2)-B*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*d*e^2*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-B*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^2*d^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+B*c^2*e^3*x^3+B*c^2*d*e^2*x^2+B*a*c*e^3*x+B*a*c*d*e^2)/(c*e*x^3+c*d*x^2+a*e*x+a*d)/c^2/e^2","B"
1482,1,520,232,0.148000," ","int((B*x+A)/(e*x+d)^(1/2)/(c*x^2+a)^(1/2),x)","\frac{2 \left(A c d e \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-B a \,e^{2} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+B a \,e^{2} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-B c \,d^{2} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-\sqrt{-a c}\, A \,e^{2} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+\sqrt{-a c}\, B d e \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)\right) \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{e x +d}\, \sqrt{c \,x^{2}+a}}{\left(c e \,x^{3}+c d \,x^{2}+a e x +a d \right) c \,e^{2}}"," ",0,"2*(A*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c*d*e-A*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*(-a*c)^(1/2)*e^2+B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*e^2+B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*(-a*c)^(1/2)*d*e-B*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*e^2-B*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c*d^2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*(e*x+d)^(1/2)*(c*x^2+a)^(1/2)/c/e^2/(c*e*x^3+c*d*x^2+a*e*x+a*d)","B"
1483,1,1298,284,0.154000," ","int((B*x+A)/(e*x+d)^(3/2)/(c*x^2+a)^(1/2),x)","-\frac{2 \left(A \,c^{2} e^{3} x^{2}-B \,c^{2} d \,e^{2} x^{2}+\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A a c \,e^{3} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A a c \,e^{3} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A \,c^{2} d^{2} e \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A \,c^{2} d^{2} e \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B a c d \,e^{2} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B \,c^{2} d^{3} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+A a c \,e^{3}-B a c d \,e^{2}+\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{-a c}\, B a \,e^{3} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{-a c}\, B c \,d^{2} e \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)\right) \sqrt{c \,x^{2}+a}\, \sqrt{e x +d}}{\left(a \,e^{2}+c \,d^{2}\right) \left(c e \,x^{3}+c d \,x^{2}+a e x +a d \right) c \,e^{2}}"," ",0,"-2*(A*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*e^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+A*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^2*d^2*e*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-A*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*e^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-A*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^2*d^2*e-B*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*d*e^2*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-B*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^2*d^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*e^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*(-a*c)^(1/2)+B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c*d^2*e*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*(-a*c)^(1/2)+A*c^2*e^3*x^2-B*c^2*d*e^2*x^2+A*a*c*e^3-B*a*c*d*e^2)*(c*x^2+a)^(1/2)*(e*x+d)^(1/2)/e^2/c/(a*e^2+c*d^2)/(c*e*x^3+c*d*x^2+a*e*x+a*d)","B"
1484,1,1319,285,0.131000," ","int((B*x+A)*(e*x+d)^(3/2)/(c*x^2+a)^(3/2),x)","\frac{\left(A \,c^{2} d \,e^{2} x^{2}-B a c \,e^{3} x^{2}+\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A a c d \,e^{2} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-A a c \,e^{3} x +\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A \,c^{2} d^{3} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+A \,c^{2} d^{2} e x -3 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B \,a^{2} e^{3} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+3 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B \,a^{2} e^{3} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-3 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B a c \,d^{2} e \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+3 \sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B a c \,d^{2} e \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-2 B a c d \,e^{2} x -A a c d \,e^{2}-\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{-a c}\, A a \,e^{3} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{-a c}\, A c \,d^{2} e \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-B a c \,d^{2} e \right) \sqrt{e x +d}\, \sqrt{c \,x^{2}+a}}{\left(c e \,x^{3}+c d \,x^{2}+a e x +a d \right) a \,c^{2} e}"," ",0,"(-A*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*e^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*(-a*c)^(1/2)-A*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c*d^2*e*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*(-a*c)^(1/2)+A*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*d*e^2*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+A*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^2*d^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+3*B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a^2*e^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+3*B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*d^2*e*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-3*B*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a^2*e^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-3*B*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*d^2*e*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+A*x^2*c^2*d*e^2-B*x^2*a*c*e^3-A*x*a*c*e^3+A*x*c^2*d^2*e-2*B*x*a*c*d*e^2-A*c*d*e^2*a-B*c*d^2*a*e)*(e*x+d)^(1/2)*(c*x^2+a)^(1/2)/c^2/e/(c*e*x^3+c*d*x^2+a*e*x+a*d)/a","B"
1485,1,979,259,0.113000," ","int((B*x+A)*(e*x+d)^(1/2)/(c*x^2+a)^(3/2),x)","\frac{\left(A \,c^{2} e^{2} x^{2}+\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A a c \,e^{2} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A a c \,e^{2} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A \,c^{2} d^{2} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+A \,c^{2} d e x +\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B a c d e \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-B a c \,e^{2} x -\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{-a c}\, A c d e \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-B a c d e -\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{-a c}\, B a \,e^{2} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)\right) \sqrt{e x +d}\, \sqrt{c \,x^{2}+a}}{\left(c e \,x^{3}+c d \,x^{2}+a e x +a d \right) a \,c^{2} e}"," ",0,"(-A*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*e^2*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-A*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c*d*e*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*(-a*c)^(1/2)+A*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*e^2*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+A*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^2*d^2*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*d*e*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*e^2*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*(-a*c)^(1/2)+A*x^2*c^2*e^2+A*x*c^2*d*e-B*x*a*c*e^2-B*a*c*d*e)*(e*x+d)^(1/2)*(c*x^2+a)^(1/2)/e/(c*e*x^3+c*d*x^2+a*e*x+a*d)/a/c^2","B"
1486,1,1317,296,0.135000," ","int((B*x+A)/(c*x^2+a)^(3/2)/(e*x+d)^(1/2),x)","\frac{\left(A \,c^{2} d \,e^{2} x^{2}+B a c \,e^{3} x^{2}+\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A a c d \,e^{2} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+A a c \,e^{3} x +\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, A \,c^{2} d^{3} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+A \,c^{2} d^{2} e x +\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B \,a^{2} e^{3} \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B \,a^{2} e^{3} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B a c \,d^{2} e \EllipticE \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, B a c \,d^{2} e \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)+A a c d \,e^{2}-\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{-a c}\, A a \,e^{3} \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(-c x +\sqrt{-a c}\right) e}{c d +\sqrt{-a c}\, e}}\, \sqrt{\frac{\left(c x +\sqrt{-a c}\right) e}{-c d +\sqrt{-a c}\, e}}\, \sqrt{-a c}\, A c \,d^{2} e \EllipticF \left(\sqrt{-\frac{\left(e x +d \right) c}{-c d +\sqrt{-a c}\, e}}, \sqrt{-\frac{-c d +\sqrt{-a c}\, e}{c d +\sqrt{-a c}\, e}}\right)-B a c \,d^{2} e \right) \sqrt{e x +d}\, \sqrt{c \,x^{2}+a}}{\left(a \,e^{2}+c \,d^{2}\right) \left(c e \,x^{3}+c d \,x^{2}+a e x +a d \right) a c e}"," ",0,"(-A*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*e^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*(-a*c)^(1/2)-A*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c*d^2*e*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)*(-a*c)^(1/2)+A*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*d*e^2*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+A*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*c^2*d^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a^2*e^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)-B*EllipticF((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*d^2*e*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+B*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a^2*e^3*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+B*EllipticE((-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2),(-(-c*d+(-a*c)^(1/2)*e)/(c*d+(-a*c)^(1/2)*e))^(1/2))*a*c*d^2*e*(-(e*x+d)/(-c*d+(-a*c)^(1/2)*e)*c)^(1/2)*((-c*x+(-a*c)^(1/2))/(c*d+(-a*c)^(1/2)*e)*e)^(1/2)*((c*x+(-a*c)^(1/2))/(-c*d+(-a*c)^(1/2)*e)*e)^(1/2)+A*c^2*d*e^2*x^2+B*a*c*e^3*x^2+A*a*c*e^3*x+A*c^2*d^2*e*x+A*a*c*d*e^2-B*a*c*d^2*e)*(e*x+d)^(1/2)*(c*x^2+a)^(1/2)/c/e/a/(a*e^2+c*d^2)/(c*e*x^3+c*d*x^2+a*e*x+a*d)","B"
1487,1,3176,372,0.074000," ","int((B*x+A)*(e*x+d)^m*(c*x^2+a)^3,x)","\text{output too large to display}"," ",0,"(e*x+d)^(m+1)*(B*c^3*e^7*m^7*x^7+A*c^3*e^7*m^7*x^6+28*B*c^3*e^7*m^6*x^7+29*A*c^3*e^7*m^6*x^6+3*B*a*c^2*e^7*m^7*x^5-7*B*c^3*d*e^6*m^6*x^6+322*B*c^3*e^7*m^5*x^7+3*A*a*c^2*e^7*m^7*x^4-6*A*c^3*d*e^6*m^6*x^5+343*A*c^3*e^7*m^5*x^6+90*B*a*c^2*e^7*m^6*x^5-147*B*c^3*d*e^6*m^5*x^6+1960*B*c^3*e^7*m^4*x^7+93*A*a*c^2*e^7*m^6*x^4-138*A*c^3*d*e^6*m^5*x^5+2135*A*c^3*e^7*m^4*x^6+3*B*a^2*c*e^7*m^7*x^3-15*B*a*c^2*d*e^6*m^6*x^4+1098*B*a*c^2*e^7*m^5*x^5+42*B*c^3*d^2*e^5*m^5*x^5-1225*B*c^3*d*e^6*m^4*x^6+6769*B*c^3*e^7*m^3*x^7+3*A*a^2*c*e^7*m^7*x^2-12*A*a*c^2*d*e^6*m^6*x^3+1173*A*a*c^2*e^7*m^5*x^4+30*A*c^3*d^2*e^5*m^5*x^4-1230*A*c^3*d*e^6*m^4*x^5+7504*A*c^3*e^7*m^3*x^6+96*B*a^2*c*e^7*m^6*x^3-375*B*a*c^2*d*e^6*m^5*x^4+7020*B*a*c^2*e^7*m^4*x^5+630*B*c^3*d^2*e^5*m^4*x^5-5145*B*c^3*d*e^6*m^3*x^6+13132*B*c^3*e^7*m^2*x^7+99*A*a^2*c*e^7*m^6*x^2-324*A*a*c^2*d*e^6*m^5*x^3+7743*A*a*c^2*e^7*m^4*x^4+540*A*c^3*d^2*e^5*m^4*x^4-5430*A*c^3*d*e^6*m^3*x^5+14756*A*c^3*e^7*m^2*x^6+B*a^3*e^7*m^7*x-9*B*a^2*c*d*e^6*m^6*x^2+1254*B*a^2*c*e^7*m^5*x^3+60*B*a*c^2*d^2*e^5*m^5*x^3-3615*B*a*c^2*d*e^6*m^4*x^4+25227*B*a*c^2*e^7*m^3*x^5-210*B*c^3*d^3*e^4*m^4*x^4+3570*B*c^3*d^2*e^5*m^3*x^5-11368*B*c^3*d*e^6*m^2*x^6+13068*B*c^3*e^7*m*x^7+A*a^3*e^7*m^7-6*A*a^2*c*d*e^6*m^6*x+1341*A*a^2*c*e^7*m^5*x^2+36*A*a*c^2*d^2*e^5*m^5*x^2-3396*A*a*c^2*d*e^6*m^4*x^3+28632*A*a*c^2*e^7*m^3*x^4-120*A*c^3*d^3*e^4*m^4*x^3+3450*A*c^3*d^2*e^5*m^3*x^4-12444*A*c^3*d*e^6*m^2*x^5+14832*A*c^3*e^7*m*x^6+34*B*a^3*e^7*m^6*x-261*B*a^2*c*d*e^6*m^5*x^2+8592*B*a^2*c*e^7*m^4*x^3+1260*B*a*c^2*d^2*e^5*m^4*x^3-17025*B*a*c^2*d*e^6*m^3*x^4+50490*B*a*c^2*e^7*m^2*x^5-2100*B*c^3*d^3*e^4*m^3*x^4+9450*B*c^3*d^2*e^5*m^2*x^5-12348*B*c^3*d*e^6*m*x^6+5040*B*c^3*e^7*x^7+35*A*a^3*e^7*m^6-186*A*a^2*c*d*e^6*m^5*x+9585*A*a^2*c*e^7*m^4*x^2+864*A*a*c^2*d^2*e^5*m^4*x^2-17388*A*a*c^2*d*e^6*m^3*x^3+58692*A*a*c^2*e^7*m^2*x^4-1680*A*c^3*d^3*e^4*m^3*x^3+9900*A*c^3*d^2*e^5*m^2*x^4-13872*A*c^3*d*e^6*m*x^5+5760*A*c^3*e^7*x^6-B*a^3*d*e^6*m^6+478*B*a^3*e^7*m^5*x+18*B*a^2*c*d^2*e^5*m^5*x-2979*B*a^2*c*d*e^6*m^4*x^2+32979*B*a^2*c*e^7*m^3*x^3-180*B*a*c^2*d^3*e^4*m^4*x^2+9420*B*a*c^2*d^2*e^5*m^3*x^3-41010*B*a*c^2*d*e^6*m^2*x^4+51432*B*a*c^2*e^7*m*x^5+840*B*c^3*d^4*e^3*m^3*x^3-7350*B*c^3*d^3*e^4*m^2*x^4+11508*B*c^3*d^2*e^5*m*x^5-5040*B*c^3*d*e^6*x^6+511*A*a^3*e^7*m^5+6*A*a^2*c*d^2*e^5*m^5-2310*A*a^2*c*d*e^6*m^4*x+38592*A*a^2*c*e^7*m^3*x^2-72*A*a*c^2*d^3*e^4*m^4*x+7596*A*a*c^2*d^2*e^5*m^3*x^2-44976*A*a*c^2*d*e^6*m^2*x^3+60912*A*a*c^2*e^7*m*x^4+360*A*c^3*d^4*e^3*m^3*x^2-7080*A*c^3*d^3*e^4*m^2*x^3+12720*A*c^3*d^2*e^5*m*x^4-5760*A*c^3*d*e^6*x^5-33*B*a^3*d*e^6*m^5+3580*B*a^3*e^7*m^4*x+486*B*a^2*c*d^2*e^5*m^4*x-16839*B*a^2*c*d*e^6*m^3*x^2+69936*B*a^2*c*e^7*m^2*x^3-3240*B*a*c^2*d^3*e^4*m^3*x^2+30420*B*a*c^2*d^2*e^5*m^2*x^3-47400*B*a*c^2*d*e^6*m*x^4+20160*B*a*c^2*e^7*x^5+5040*B*c^3*d^4*e^3*m^2*x^3-10500*B*c^3*d^3*e^4*m*x^4+5040*B*c^3*d^2*e^5*x^5+4025*A*a^3*e^7*m^4+180*A*a^2*c*d^2*e^5*m^4-14550*A*a^2*c*d*e^6*m^3*x+86076*A*a^2*c*e^7*m^2*x^2-1584*A*a*c^2*d^3*e^4*m^3*x+29376*A*a*c^2*d^2*e^5*m^2*x^2-54864*A*a*c^2*d*e^6*m*x^3+24192*A*a*c^2*e^7*x^4+3960*A*c^3*d^4*e^3*m^2*x^2-11280*A*c^3*d^3*e^4*m*x^3+5760*A*c^3*d^2*e^5*x^4-445*B*a^3*d*e^6*m^4+15289*B*a^3*e^7*m^3*x-18*B*a^2*c*d^3*e^4*m^4+4986*B*a^2*c*d^2*e^5*m^3*x-48420*B*a^2*c*d*e^6*m^2*x^2+74628*B*a^2*c*e^7*m*x^3+360*B*a*c^2*d^4*e^3*m^3*x-18540*B*a*c^2*d^3*e^4*m^2*x^2+42360*B*a*c^2*d^2*e^5*m*x^3-20160*B*a*c^2*d*e^6*x^4-2520*B*c^3*d^5*e^2*m^2*x^2+9240*B*c^3*d^4*e^3*m*x^3-5040*B*c^3*d^3*e^4*x^4+18424*A*a^3*e^7*m^3+2130*A*a^2*c*d^2*e^5*m^3-48084*A*a^2*c*d*e^6*m^2*x+96144*A*a^2*c*e^7*m*x^2+72*A*a*c^2*d^4*e^3*m^3-12024*A*a*c^2*d^3*e^4*m^2*x+46800*A*a*c^2*d^2*e^5*m*x^2-24192*A*a*c^2*d*e^6*x^3-720*A*c^3*d^5*e^2*m^2*x+9360*A*c^3*d^4*e^3*m*x^2-5760*A*c^3*d^3*e^4*x^3-3135*B*a^3*d*e^6*m^3+36706*B*a^3*e^7*m^2*x-468*B*a^2*c*d^3*e^4*m^3+23706*B*a^2*c*d^2*e^5*m^2*x-64548*B*a^2*c*d*e^6*m*x^2+30240*B*a^2*c*e^7*x^3+5760*B*a*c^2*d^4*e^3*m^2*x-35640*B*a*c^2*d^3*e^4*m*x^2+20160*B*a*c^2*d^2*e^5*x^3-7560*B*c^3*d^5*e^2*m*x^2+5040*B*c^3*d^4*e^3*x^3+48860*A*a^3*e^7*m^2+12420*A*a^2*c*d^2*e^5*m^2-75984*A*a^2*c*d*e^6*m*x+40320*A*a^2*c*e^7*x^2+1512*A*a*c^2*d^4*e^3*m^2-34704*A*a*c^2*d^3*e^4*m*x+24192*A*a*c^2*d^2*e^5*x^2-6480*A*c^3*d^5*e^2*m*x+5760*A*c^3*d^4*e^3*x^2-12154*B*a^3*d*e^6*m^2+44712*B*a^3*e^7*m*x-4518*B*a^2*c*d^3*e^4*m^2+49428*B*a^2*c*d^2*e^5*m*x-30240*B*a^2*c*d*e^6*x^2-360*B*a*c^2*d^5*e^2*m^2+25560*B*a*c^2*d^4*e^3*m*x-20160*B*a*c^2*d^3*e^4*x^2+5040*B*c^3*d^6*e*m*x-5040*B*c^3*d^5*e^2*x^2+69264*A*a^3*e^7*m+35664*A*a^2*c*d^2*e^5*m-40320*A*a^2*c*d*e^6*x+10512*A*a*c^2*d^4*e^3*m-24192*A*a*c^2*d^3*e^4*x+720*A*c^3*d^6*e*m-5760*A*c^3*d^5*e^2*x-24552*B*a^3*d*e^6*m+20160*B*a^3*e^7*x-19188*B*a^2*c*d^3*e^4*m+30240*B*a^2*c*d^2*e^5*x-5400*B*a*c^2*d^5*e^2*m+20160*B*a*c^2*d^4*e^3*x+5040*B*c^3*d^6*e*x+40320*A*a^3*e^7+40320*A*a^2*c*d^2*e^5+24192*A*a*c^2*d^4*e^3+5760*A*c^3*d^6*e-20160*B*a^3*d*e^6-30240*B*a^2*c*d^3*e^4-20160*B*a*c^2*d^5*e^2-5040*B*c^3*d^7)/e^8/(m^8+36*m^7+546*m^6+4536*m^5+22449*m^4+67284*m^3+118124*m^2+109584*m+40320)","B"
1488,1,1271,234,0.057000," ","int((B*x+A)*(e*x+d)^m*(c*x^2+a)^2,x)","\frac{\left(B \,c^{2} e^{5} m^{5} x^{5}+A \,c^{2} e^{5} m^{5} x^{4}+15 B \,c^{2} e^{5} m^{4} x^{5}+16 A \,c^{2} e^{5} m^{4} x^{4}+2 B a c \,e^{5} m^{5} x^{3}-5 B \,c^{2} d \,e^{4} m^{4} x^{4}+85 B \,c^{2} e^{5} m^{3} x^{5}+2 A a c \,e^{5} m^{5} x^{2}-4 A \,c^{2} d \,e^{4} m^{4} x^{3}+95 A \,c^{2} e^{5} m^{3} x^{4}+34 B a c \,e^{5} m^{4} x^{3}-50 B \,c^{2} d \,e^{4} m^{3} x^{4}+225 B \,c^{2} e^{5} m^{2} x^{5}+36 A a c \,e^{5} m^{4} x^{2}-48 A \,c^{2} d \,e^{4} m^{3} x^{3}+260 A \,c^{2} e^{5} m^{2} x^{4}+B \,a^{2} e^{5} m^{5} x -6 B a c d \,e^{4} m^{4} x^{2}+214 B a c \,e^{5} m^{3} x^{3}+20 B \,c^{2} d^{2} e^{3} m^{3} x^{3}-175 B \,c^{2} d \,e^{4} m^{2} x^{4}+274 B \,c^{2} e^{5} m \,x^{5}+A \,a^{2} e^{5} m^{5}-4 A a c d \,e^{4} m^{4} x +242 A a c \,e^{5} m^{3} x^{2}+12 A \,c^{2} d^{2} e^{3} m^{3} x^{2}-188 A \,c^{2} d \,e^{4} m^{2} x^{3}+324 A \,c^{2} e^{5} m \,x^{4}+19 B \,a^{2} e^{5} m^{4} x -84 B a c d \,e^{4} m^{3} x^{2}+614 B a c \,e^{5} m^{2} x^{3}+120 B \,c^{2} d^{2} e^{3} m^{2} x^{3}-250 B \,c^{2} d \,e^{4} m \,x^{4}+120 B \,x^{5} c^{2} e^{5}+20 A \,a^{2} e^{5} m^{4}-64 A a c d \,e^{4} m^{3} x +744 A a c \,e^{5} m^{2} x^{2}+108 A \,c^{2} d^{2} e^{3} m^{2} x^{2}-288 A \,c^{2} d \,e^{4} m \,x^{3}+144 A \,c^{2} e^{5} x^{4}-B \,a^{2} d \,e^{4} m^{4}+137 B \,a^{2} e^{5} m^{3} x +12 B a c \,d^{2} e^{3} m^{3} x -390 B a c d \,e^{4} m^{2} x^{2}+792 B a c \,e^{5} m \,x^{3}-60 B \,c^{2} d^{3} e^{2} m^{2} x^{2}+220 B \,c^{2} d^{2} e^{3} m \,x^{3}-120 B \,c^{2} d \,e^{4} x^{4}+155 A \,a^{2} e^{5} m^{3}+4 A a c \,d^{2} e^{3} m^{3}-356 A a c d \,e^{4} m^{2} x +1016 A a c \,e^{5} m \,x^{2}-24 A \,c^{2} d^{3} e^{2} m^{2} x +240 A \,c^{2} d^{2} e^{3} m \,x^{2}-144 A \,c^{2} d \,e^{4} x^{3}-18 B \,a^{2} d \,e^{4} m^{3}+461 B \,a^{2} e^{5} m^{2} x +144 B a c \,d^{2} e^{3} m^{2} x -672 B a c d \,e^{4} m \,x^{2}+360 B a c \,e^{5} x^{3}-180 B \,c^{2} d^{3} e^{2} m \,x^{2}+120 B \,c^{2} d^{2} e^{3} x^{3}+580 A \,a^{2} e^{5} m^{2}+60 A a c \,d^{2} e^{3} m^{2}-776 A a c d \,e^{4} m x +480 A a c \,e^{5} x^{2}-168 A \,c^{2} d^{3} e^{2} m x +144 A \,c^{2} d^{2} e^{3} x^{2}-119 B \,a^{2} d \,e^{4} m^{2}+702 B \,a^{2} e^{5} m x -12 B a c \,d^{3} e^{2} m^{2}+492 B a c \,d^{2} e^{3} m x -360 B a c d \,e^{4} x^{2}+120 B \,c^{2} d^{4} e m x -120 B \,c^{2} d^{3} e^{2} x^{2}+1044 A \,a^{2} e^{5} m +296 A a c \,d^{2} e^{3} m -480 A a c d \,e^{4} x +24 A \,c^{2} d^{4} e m -144 A \,c^{2} d^{3} e^{2} x -342 B \,a^{2} d \,e^{4} m +360 B x \,a^{2} e^{5}-132 B a c \,d^{3} e^{2} m +360 B a c \,d^{2} e^{3} x +120 B \,c^{2} d^{4} e x +720 A \,a^{2} e^{5}+480 A \,d^{2} a c \,e^{3}+144 A \,c^{2} d^{4} e -360 B \,a^{2} d \,e^{4}-360 B \,d^{3} a c \,e^{2}-120 B \,c^{2} d^{5}\right) \left(e x +d \right)^{m +1}}{\left(m^{6}+21 m^{5}+175 m^{4}+735 m^{3}+1624 m^{2}+1764 m +720\right) e^{6}}"," ",0,"(e*x+d)^(m+1)*(B*c^2*e^5*m^5*x^5+A*c^2*e^5*m^5*x^4+15*B*c^2*e^5*m^4*x^5+16*A*c^2*e^5*m^4*x^4+2*B*a*c*e^5*m^5*x^3-5*B*c^2*d*e^4*m^4*x^4+85*B*c^2*e^5*m^3*x^5+2*A*a*c*e^5*m^5*x^2-4*A*c^2*d*e^4*m^4*x^3+95*A*c^2*e^5*m^3*x^4+34*B*a*c*e^5*m^4*x^3-50*B*c^2*d*e^4*m^3*x^4+225*B*c^2*e^5*m^2*x^5+36*A*a*c*e^5*m^4*x^2-48*A*c^2*d*e^4*m^3*x^3+260*A*c^2*e^5*m^2*x^4+B*a^2*e^5*m^5*x-6*B*a*c*d*e^4*m^4*x^2+214*B*a*c*e^5*m^3*x^3+20*B*c^2*d^2*e^3*m^3*x^3-175*B*c^2*d*e^4*m^2*x^4+274*B*c^2*e^5*m*x^5+A*a^2*e^5*m^5-4*A*a*c*d*e^4*m^4*x+242*A*a*c*e^5*m^3*x^2+12*A*c^2*d^2*e^3*m^3*x^2-188*A*c^2*d*e^4*m^2*x^3+324*A*c^2*e^5*m*x^4+19*B*a^2*e^5*m^4*x-84*B*a*c*d*e^4*m^3*x^2+614*B*a*c*e^5*m^2*x^3+120*B*c^2*d^2*e^3*m^2*x^3-250*B*c^2*d*e^4*m*x^4+120*B*c^2*e^5*x^5+20*A*a^2*e^5*m^4-64*A*a*c*d*e^4*m^3*x+744*A*a*c*e^5*m^2*x^2+108*A*c^2*d^2*e^3*m^2*x^2-288*A*c^2*d*e^4*m*x^3+144*A*c^2*e^5*x^4-B*a^2*d*e^4*m^4+137*B*a^2*e^5*m^3*x+12*B*a*c*d^2*e^3*m^3*x-390*B*a*c*d*e^4*m^2*x^2+792*B*a*c*e^5*m*x^3-60*B*c^2*d^3*e^2*m^2*x^2+220*B*c^2*d^2*e^3*m*x^3-120*B*c^2*d*e^4*x^4+155*A*a^2*e^5*m^3+4*A*a*c*d^2*e^3*m^3-356*A*a*c*d*e^4*m^2*x+1016*A*a*c*e^5*m*x^2-24*A*c^2*d^3*e^2*m^2*x+240*A*c^2*d^2*e^3*m*x^2-144*A*c^2*d*e^4*x^3-18*B*a^2*d*e^4*m^3+461*B*a^2*e^5*m^2*x+144*B*a*c*d^2*e^3*m^2*x-672*B*a*c*d*e^4*m*x^2+360*B*a*c*e^5*x^3-180*B*c^2*d^3*e^2*m*x^2+120*B*c^2*d^2*e^3*x^3+580*A*a^2*e^5*m^2+60*A*a*c*d^2*e^3*m^2-776*A*a*c*d*e^4*m*x+480*A*a*c*e^5*x^2-168*A*c^2*d^3*e^2*m*x+144*A*c^2*d^2*e^3*x^2-119*B*a^2*d*e^4*m^2+702*B*a^2*e^5*m*x-12*B*a*c*d^3*e^2*m^2+492*B*a*c*d^2*e^3*m*x-360*B*a*c*d*e^4*x^2+120*B*c^2*d^4*e*m*x-120*B*c^2*d^3*e^2*x^2+1044*A*a^2*e^5*m+296*A*a*c*d^2*e^3*m-480*A*a*c*d*e^4*x+24*A*c^2*d^4*e*m-144*A*c^2*d^3*e^2*x-342*B*a^2*d*e^4*m+360*B*a^2*e^5*x-132*B*a*c*d^3*e^2*m+360*B*a*c*d^2*e^3*x+120*B*c^2*d^4*e*x+720*A*a^2*e^5+480*A*a*c*d^2*e^3+144*A*c^2*d^4*e-360*B*a^2*d*e^4-360*B*a*c*d^3*e^2-120*B*c^2*d^5)/e^6/(m^6+21*m^5+175*m^4+735*m^3+1624*m^2+1764*m+720)","B"
1489,1,338,126,0.049000," ","int((B*x+A)*(e*x+d)^m*(c*x^2+a),x)","\frac{\left(B c \,e^{3} m^{3} x^{3}+A c \,e^{3} m^{3} x^{2}+6 B c \,e^{3} m^{2} x^{3}+7 A c \,e^{3} m^{2} x^{2}+B a \,e^{3} m^{3} x -3 B c d \,e^{2} m^{2} x^{2}+11 B c \,e^{3} m \,x^{3}+A a \,e^{3} m^{3}-2 A c d \,e^{2} m^{2} x +14 A c \,e^{3} m \,x^{2}+8 B a \,e^{3} m^{2} x -9 B c d \,e^{2} m \,x^{2}+6 B c \,x^{3} e^{3}+9 A a \,e^{3} m^{2}-10 A c d \,e^{2} m x +8 A c \,e^{3} x^{2}-B a d \,e^{2} m^{2}+19 B a \,e^{3} m x +6 B c \,d^{2} e m x -6 B c d \,e^{2} x^{2}+26 A a \,e^{3} m +2 A c \,d^{2} e m -8 A c d \,e^{2} x -7 B a d \,e^{2} m +12 B a \,e^{3} x +6 B c \,d^{2} e x +24 a A \,e^{3}+8 A c \,d^{2} e -12 a B d \,e^{2}-6 B c \,d^{3}\right) \left(e x +d \right)^{m +1}}{\left(m^{4}+10 m^{3}+35 m^{2}+50 m +24\right) e^{4}}"," ",0,"(e*x+d)^(m+1)*(B*c*e^3*m^3*x^3+A*c*e^3*m^3*x^2+6*B*c*e^3*m^2*x^3+7*A*c*e^3*m^2*x^2+B*a*e^3*m^3*x-3*B*c*d*e^2*m^2*x^2+11*B*c*e^3*m*x^3+A*a*e^3*m^3-2*A*c*d*e^2*m^2*x+14*A*c*e^3*m*x^2+8*B*a*e^3*m^2*x-9*B*c*d*e^2*m*x^2+6*B*c*e^3*x^3+9*A*a*e^3*m^2-10*A*c*d*e^2*m*x+8*A*c*e^3*x^2-B*a*d*e^2*m^2+19*B*a*e^3*m*x+6*B*c*d^2*e*m*x-6*B*c*d*e^2*x^2+26*A*a*e^3*m+2*A*c*d^2*e*m-8*A*c*d*e^2*x-7*B*a*d*e^2*m+12*B*a*e^3*x+6*B*c*d^2*e*x+24*A*a*e^3+8*A*c*d^2*e-12*B*a*d*e^2-6*B*c*d^3)/e^4/(m^4+10*m^3+35*m^2+50*m+24)","B"
1490,0,0,170,1.574000," ","int((B*x+A)*(e*x+d)^m/(c*x^2+a),x)","\int \frac{\left(B x +A \right) \left(e x +d \right)^{m}}{c \,x^{2}+a}\, dx"," ",0,"int((B*x+A)*(e*x+d)^m/(c*x^2+a),x)","F"
1491,0,0,327,1.205000," ","int((B*x+A)*(e*x+d)^m/(c*x^2+a)^2,x)","\int \frac{\left(B x +A \right) \left(e x +d \right)^{m}}{\left(c \,x^{2}+a \right)^{2}}\, dx"," ",0,"int((B*x+A)*(e*x+d)^m/(c*x^2+a)^2,x)","F"
1492,0,0,170,0.868000," ","int((B*x+A)*(e*x+d)^(m+1)/(c*x^2+a),x)","\int \frac{\left(B x +A \right) \left(e x +d \right)^{m +1}}{c \,x^{2}+a}\, dx"," ",0,"int((B*x+A)*(e*x+d)^(m+1)/(c*x^2+a),x)","F"
1493,1,30,31,0.048000," ","int((c*d*x-a*e)*(e*x+d)^(-2*p-3)*(c*x^2+a)^p,x)","\frac{\left(c \,x^{2}+a \right)^{p +1} \left(e x +d \right)^{-2 p -2}}{2 p +2}"," ",0,"1/2*(c*x^2+a)^(p+1)*(e*x+d)^(-2*p-2)/(p+1)","A"
1494,1,290,116,0.040000," ","int((2*c*x+b)*(e*x+d)^4*(c*x^2+b*x+a),x)","\frac{c^{2} e^{4} x^{8}}{4}+a b \,d^{4} x +\frac{\left(2 b c \,e^{4}+\left(b \,e^{4}+8 c d \,e^{3}\right) c \right) x^{7}}{7}+\frac{\left(2 a c \,e^{4}+\left(b \,e^{4}+8 c d \,e^{3}\right) b +\left(4 b d \,e^{3}+12 c \,d^{2} e^{2}\right) c \right) x^{6}}{6}+\frac{\left(\left(b \,e^{4}+8 c d \,e^{3}\right) a +\left(4 b d \,e^{3}+12 c \,d^{2} e^{2}\right) b +\left(6 b \,d^{2} e^{2}+8 c \,d^{3} e \right) c \right) x^{5}}{5}+\frac{\left(\left(4 b d \,e^{3}+12 c \,d^{2} e^{2}\right) a +\left(6 b \,d^{2} e^{2}+8 c \,d^{3} e \right) b +\left(4 b \,d^{3} e +2 c \,d^{4}\right) c \right) x^{4}}{4}+\frac{\left(b c \,d^{4}+\left(6 b \,d^{2} e^{2}+8 c \,d^{3} e \right) a +\left(4 b \,d^{3} e +2 c \,d^{4}\right) b \right) x^{3}}{3}+\frac{\left(b^{2} d^{4}+\left(4 b \,d^{3} e +2 c \,d^{4}\right) a \right) x^{2}}{2}"," ",0,"1/4*c^2*e^4*x^8+1/7*((b*e^4+8*c*d*e^3)*c+2*c*e^4*b)*x^7+1/6*((4*b*d*e^3+12*c*d^2*e^2)*c+(b*e^4+8*c*d*e^3)*b+2*a*c*e^4)*x^6+1/5*((6*b*d^2*e^2+8*c*d^3*e)*c+(4*b*d*e^3+12*c*d^2*e^2)*b+(b*e^4+8*c*d*e^3)*a)*x^5+1/4*((4*b*d^3*e+2*c*d^4)*c+(6*b*d^2*e^2+8*c*d^3*e)*b+(4*b*d*e^3+12*c*d^2*e^2)*a)*x^4+1/3*(b*d^4*c+(4*b*d^3*e+2*c*d^4)*b+(6*b*d^2*e^2+8*c*d^3*e)*a)*x^3+1/2*(b^2*d^4+(4*b*d^3*e+2*c*d^4)*a)*x^2+b*d^4*a*x","B"
1495,1,221,116,0.046000," ","int((2*c*x+b)*(e*x+d)^3*(c*x^2+b*x+a),x)","\frac{2 c^{2} e^{3} x^{7}}{7}+a b \,d^{3} x +\frac{\left(2 b c \,e^{3}+\left(b \,e^{3}+6 d \,e^{2} c \right) c \right) x^{6}}{6}+\frac{\left(2 a c \,e^{3}+\left(b \,e^{3}+6 d \,e^{2} c \right) b +\left(3 b d \,e^{2}+6 c \,d^{2} e \right) c \right) x^{5}}{5}+\frac{\left(\left(b \,e^{3}+6 d \,e^{2} c \right) a +\left(3 b d \,e^{2}+6 c \,d^{2} e \right) b +\left(3 b \,d^{2} e +2 c \,d^{3}\right) c \right) x^{4}}{4}+\frac{\left(b c \,d^{3}+\left(3 b d \,e^{2}+6 c \,d^{2} e \right) a +\left(3 b \,d^{2} e +2 c \,d^{3}\right) b \right) x^{3}}{3}+\frac{\left(b^{2} d^{3}+\left(3 b \,d^{2} e +2 c \,d^{3}\right) a \right) x^{2}}{2}"," ",0,"2/7*c^2*e^3*x^7+1/6*((b*e^3+6*c*d*e^2)*c+2*c*e^3*b)*x^6+1/5*((3*b*d*e^2+6*c*d^2*e)*c+(b*e^3+6*c*d*e^2)*b+2*a*c*e^3)*x^5+1/4*((3*b*d^2*e+2*c*d^3)*c+(3*b*d*e^2+6*c*d^2*e)*b+(b*e^3+6*c*d*e^2)*a)*x^4+1/3*(b*c*d^3+(3*b*d^2*e+2*c*d^3)*b+(3*b*d*e^2+6*c*d^2*e)*a)*x^3+1/2*(b^2*d^3+(3*b*d^2*e+2*c*d^3)*a)*x^2+b*d^3*a*x","A"
1496,1,152,116,0.041000," ","int((2*c*x+b)*(e*x+d)^2*(c*x^2+b*x+a),x)","\frac{c^{2} e^{2} x^{6}}{3}+a b \,d^{2} x +\frac{\left(2 b c \,e^{2}+\left(b \,e^{2}+4 c d e \right) c \right) x^{5}}{5}+\frac{\left(2 a c \,e^{2}+\left(b \,e^{2}+4 c d e \right) b +\left(2 b d e +2 c \,d^{2}\right) c \right) x^{4}}{4}+\frac{\left(b c \,d^{2}+\left(b \,e^{2}+4 c d e \right) a +\left(2 b d e +2 c \,d^{2}\right) b \right) x^{3}}{3}+\frac{\left(b^{2} d^{2}+\left(2 b d e +2 c \,d^{2}\right) a \right) x^{2}}{2}"," ",0,"1/3*c^2*e^2*x^6+1/5*((b*e^2+4*c*d*e)*c+2*c*e^2*b)*x^5+1/4*((2*b*d*e+2*c*d^2)*c+(b*e^2+4*c*d*e)*b+2*a*c*e^2)*x^4+1/3*(b*c*d^2+(2*b*d*e+2*c*d^2)*b+(b*e^2+4*c*d*e)*a)*x^3+1/2*(b^2*d^2+(2*b*d*e+2*c*d^2)*a)*x^2+b*d^2*a*x","A"
1497,1,83,71,0.043000," ","int((2*c*x+b)*(e*x+d)*(c*x^2+b*x+a),x)","\frac{2 c^{2} e \,x^{5}}{5}+a b d x +\frac{\left(2 b c e +\left(b e +2 c d \right) c \right) x^{4}}{4}+\frac{\left(2 a c e +b c d +\left(b e +2 c d \right) b \right) x^{3}}{3}+\frac{\left(b^{2} d +\left(b e +2 c d \right) a \right) x^{2}}{2}"," ",0,"2/5*c^2*e*x^5+1/4*((b*e+2*c*d)*c+2*b*c*e)*x^4+1/3*(b*c*d+(b*e+2*c*d)*b+2*a*c*e)*x^3+1/2*(b^2*d+(b*e+2*c*d)*a)*x^2+a*b*d*x","A"
1498,1,33,14,0.041000," ","int((2*c*x+b)*(c*x^2+b*x+a),x)","\frac{c^{2} x^{4}}{2}+b c \,x^{3}+a b x +\frac{\left(2 a c +b^{2}\right) x^{2}}{2}"," ",0,"1/2*c^2*x^4+b*c*x^3+1/2*(2*a*c+b^2)*x^2+a*b*x","B"
1499,1,146,100,0.047000," ","int((2*c*x+b)*(c*x^2+b*x+a)/(e*x+d),x)","\frac{2 c^{2} x^{3}}{3 e}+\frac{3 b c \,x^{2}}{2 e}-\frac{c^{2} d \,x^{2}}{e^{2}}+\frac{a b \ln \left(e x +d \right)}{e}-\frac{2 a c d \ln \left(e x +d \right)}{e^{2}}+\frac{2 a c x}{e}-\frac{b^{2} d \ln \left(e x +d \right)}{e^{2}}+\frac{b^{2} x}{e}+\frac{3 b c \,d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{3 b c d x}{e^{2}}-\frac{2 c^{2} d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{2 c^{2} d^{2} x}{e^{3}}"," ",0,"2/3*c^2*x^3/e+3/2/e*x^2*b*c-1/e^2*x^2*c^2*d+2/e*x*a*c+1/e*x*b^2-3/e^2*x*b*c*d+2/e^3*x*c^2*d^2+1/e*ln(e*x+d)*a*b-2/e^2*ln(e*x+d)*a*c*d-1/e^2*ln(e*x+d)*b^2*d+3/e^3*ln(e*x+d)*b*c*d^2-2/e^4*ln(e*x+d)*c^2*d^3","A"
1500,1,166,102,0.090000," ","int((2*c*x+b)*(c*x^2+b*x+a)/(e*x+d)^2,x)","\frac{c^{2} x^{2}}{e^{2}}-\frac{a b}{\left(e x +d \right) e}+\frac{2 a c d}{\left(e x +d \right) e^{2}}+\frac{2 a c \ln \left(e x +d \right)}{e^{2}}+\frac{b^{2} d}{\left(e x +d \right) e^{2}}+\frac{b^{2} \ln \left(e x +d \right)}{e^{2}}-\frac{3 b c \,d^{2}}{\left(e x +d \right) e^{3}}-\frac{6 b c d \ln \left(e x +d \right)}{e^{3}}+\frac{3 b c x}{e^{2}}+\frac{2 c^{2} d^{3}}{\left(e x +d \right) e^{4}}+\frac{6 c^{2} d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{4 c^{2} d x}{e^{3}}"," ",0,"c^2*x^2/e^2+3*c/e^2*b*x-4*c^2/e^3*x*d-1/e/(e*x+d)*a*b+2/e^2/(e*x+d)*a*c*d+1/e^2/(e*x+d)*b^2*d-3/e^3/(e*x+d)*b*c*d^2+2/e^4/(e*x+d)*c^2*d^3+2/e^2*ln(e*x+d)*a*c+1/e^2*ln(e*x+d)*b^2-6/e^3*ln(e*x+d)*b*c*d+6/e^4*ln(e*x+d)*c^2*d^2","A"
1501,1,179,109,0.049000," ","int((2*c*x+b)*(c*x^2+b*x+a)/(e*x+d)^3,x)","-\frac{a b}{2 \left(e x +d \right)^{2} e}+\frac{a c d}{\left(e x +d \right)^{2} e^{2}}+\frac{b^{2} d}{2 \left(e x +d \right)^{2} e^{2}}-\frac{3 b c \,d^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{c^{2} d^{3}}{\left(e x +d \right)^{2} e^{4}}-\frac{2 a c}{\left(e x +d \right) e^{2}}-\frac{b^{2}}{\left(e x +d \right) e^{2}}+\frac{6 b c d}{\left(e x +d \right) e^{3}}+\frac{3 b c \ln \left(e x +d \right)}{e^{3}}-\frac{6 c^{2} d^{2}}{\left(e x +d \right) e^{4}}-\frac{6 c^{2} d \ln \left(e x +d \right)}{e^{4}}+\frac{2 c^{2} x}{e^{3}}"," ",0,"2*c^2*x/e^3-2/e^2/(e*x+d)*a*c-1/e^2/(e*x+d)*b^2+6/e^3/(e*x+d)*b*c*d-6/e^4/(e*x+d)*c^2*d^2-1/2/e/(e*x+d)^2*a*b+1/e^2/(e*x+d)^2*a*c*d+1/2/e^2/(e*x+d)^2*b^2*d-3/2/e^3/(e*x+d)^2*b*c*d^2+1/e^4/(e*x+d)^2*c^2*d^3+3*c/e^3*ln(e*x+d)*b-6*c^2/e^4*ln(e*x+d)*d","A"
1502,1,188,116,0.046000," ","int((2*c*x+b)*(c*x^2+b*x+a)/(e*x+d)^4,x)","-\frac{a b}{3 \left(e x +d \right)^{3} e}+\frac{2 a c d}{3 \left(e x +d \right)^{3} e^{2}}+\frac{b^{2} d}{3 \left(e x +d \right)^{3} e^{2}}-\frac{b c \,d^{2}}{\left(e x +d \right)^{3} e^{3}}+\frac{2 c^{2} d^{3}}{3 \left(e x +d \right)^{3} e^{4}}-\frac{a c}{\left(e x +d \right)^{2} e^{2}}-\frac{b^{2}}{2 \left(e x +d \right)^{2} e^{2}}+\frac{3 b c d}{\left(e x +d \right)^{2} e^{3}}-\frac{3 c^{2} d^{2}}{\left(e x +d \right)^{2} e^{4}}-\frac{3 b c}{\left(e x +d \right) e^{3}}+\frac{6 c^{2} d}{\left(e x +d \right) e^{4}}+\frac{2 c^{2} \ln \left(e x +d \right)}{e^{4}}"," ",0,"-3*c/e^3/(e*x+d)*b+6*c^2/e^4/(e*x+d)*d-1/3/e/(e*x+d)^3*a*b+2/3/e^2/(e*x+d)^3*a*c*d+1/3/e^2/(e*x+d)^3*b^2*d-1/e^3/(e*x+d)^3*b*c*d^2+2/3/e^4/(e*x+d)^3*c^2*d^3-1/e^2/(e*x+d)^2*a*c-1/2/e^2/(e*x+d)^2*b^2+3/e^3/(e*x+d)^2*b*c*d-3/e^4/(e*x+d)^2*c^2*d^2+2*c^2*ln(e*x+d)/e^4","A"
1503,1,131,117,0.047000," ","int((2*c*x+b)*(c*x^2+b*x+a)/(e*x+d)^5,x)","-\frac{2 c^{2}}{\left(e x +d \right) e^{4}}-\frac{3 \left(b e -2 c d \right) c}{2 \left(e x +d \right)^{2} e^{4}}-\frac{2 a c \,e^{2}+b^{2} e^{2}-6 b c d e +6 c^{2} d^{2}}{3 \left(e x +d \right)^{3} e^{4}}-\frac{a b \,e^{3}-2 a c d \,e^{2}-b^{2} d \,e^{2}+3 b c \,d^{2} e -2 c^{2} d^{3}}{4 \left(e x +d \right)^{4} e^{4}}"," ",0,"-2*c^2/e^4/(e*x+d)-1/3*(2*a*c*e^2+b^2*e^2-6*b*c*d*e+6*c^2*d^2)/e^4/(e*x+d)^3-3/2*c*(b*e-2*c*d)/e^4/(e*x+d)^2-1/4*(a*b*e^3-2*a*c*d*e^2-b^2*d*e^2+3*b*c*d^2*e-2*c^2*d^3)/e^4/(e*x+d)^4","A"
1504,1,554,228,0.040000," ","int((2*c*x+b)*(e*x+d)^4*(c*x^2+b*x+a)^2,x)","\frac{c^{3} e^{4} x^{10}}{5}+\frac{\left(4 b \,c^{2} e^{4}+\left(b \,e^{4}+8 c d \,e^{3}\right) c^{2}\right) x^{9}}{9}+a^{2} b \,d^{4} x +\frac{\left(2 \left(2 a c +b^{2}\right) c \,e^{4}+2 \left(b \,e^{4}+8 c d \,e^{3}\right) b c +\left(4 b d \,e^{3}+12 c \,d^{2} e^{2}\right) c^{2}\right) x^{8}}{8}+\frac{\left(4 a b c \,e^{4}+2 \left(4 b d \,e^{3}+12 c \,d^{2} e^{2}\right) b c +\left(6 b \,d^{2} e^{2}+8 c \,d^{3} e \right) c^{2}+\left(b \,e^{4}+8 c d \,e^{3}\right) \left(2 a c +b^{2}\right)\right) x^{7}}{7}+\frac{\left(2 a^{2} c \,e^{4}+2 \left(b \,e^{4}+8 c d \,e^{3}\right) a b +2 \left(6 b \,d^{2} e^{2}+8 c \,d^{3} e \right) b c +\left(4 b \,d^{3} e +2 c \,d^{4}\right) c^{2}+\left(4 b d \,e^{3}+12 c \,d^{2} e^{2}\right) \left(2 a c +b^{2}\right)\right) x^{6}}{6}+\frac{\left(b \,c^{2} d^{4}+\left(b \,e^{4}+8 c d \,e^{3}\right) a^{2}+2 \left(4 b d \,e^{3}+12 c \,d^{2} e^{2}\right) a b +2 \left(4 b \,d^{3} e +2 c \,d^{4}\right) b c +\left(6 b \,d^{2} e^{2}+8 c \,d^{3} e \right) \left(2 a c +b^{2}\right)\right) x^{5}}{5}+\frac{\left(2 b^{2} c \,d^{4}+\left(4 b d \,e^{3}+12 c \,d^{2} e^{2}\right) a^{2}+2 \left(6 b \,d^{2} e^{2}+8 c \,d^{3} e \right) a b +\left(4 b \,d^{3} e +2 c \,d^{4}\right) \left(2 a c +b^{2}\right)\right) x^{4}}{4}+\frac{\left(\left(2 a c +b^{2}\right) b \,d^{4}+\left(6 b \,d^{2} e^{2}+8 c \,d^{3} e \right) a^{2}+2 \left(4 b \,d^{3} e +2 c \,d^{4}\right) a b \right) x^{3}}{3}+\frac{\left(2 a \,b^{2} d^{4}+\left(4 b \,d^{3} e +2 c \,d^{4}\right) a^{2}\right) x^{2}}{2}"," ",0,"1/5*c^3*e^4*x^10+1/9*((b*e^4+8*c*d*e^3)*c^2+4*c^2*e^4*b)*x^9+1/8*((4*b*d*e^3+12*c*d^2*e^2)*c^2+2*(b*e^4+8*c*d*e^3)*b*c+2*c*e^4*(2*a*c+b^2))*x^8+1/7*((6*b*d^2*e^2+8*c*d^3*e)*c^2+2*(4*b*d*e^3+12*c*d^2*e^2)*b*c+(b*e^4+8*c*d*e^3)*(2*a*c+b^2)+4*a*b*c*e^4)*x^7+1/6*((4*b*d^3*e+2*c*d^4)*c^2+2*(6*b*d^2*e^2+8*c*d^3*e)*b*c+(4*b*d*e^3+12*c*d^2*e^2)*(2*a*c+b^2)+2*(b*e^4+8*c*d*e^3)*a*b+2*a^2*c*e^4)*x^6+1/5*(b*d^4*c^2+2*(4*b*d^3*e+2*c*d^4)*b*c+(6*b*d^2*e^2+8*c*d^3*e)*(2*a*c+b^2)+2*(4*b*d*e^3+12*c*d^2*e^2)*a*b+(b*e^4+8*c*d*e^3)*a^2)*x^5+1/4*(2*b^2*d^4*c+(4*b*d^3*e+2*c*d^4)*(2*a*c+b^2)+2*(6*b*d^2*e^2+8*c*d^3*e)*a*b+(4*b*d*e^3+12*c*d^2*e^2)*a^2)*x^4+1/3*(b*d^4*(2*a*c+b^2)+2*(4*b*d^3*e+2*c*d^4)*a*b+(6*b*d^2*e^2+8*c*d^3*e)*a^2)*x^3+1/2*(2*b^2*d^4*a+(4*b*d^3*e+2*c*d^4)*a^2)*x^2+b*d^4*a^2*x","B"
1505,1,428,228,0.039000," ","int((2*c*x+b)*(e*x+d)^3*(c*x^2+b*x+a)^2,x)","\frac{2 c^{3} e^{3} x^{9}}{9}+\frac{\left(4 b \,c^{2} e^{3}+\left(b \,e^{3}+6 d \,e^{2} c \right) c^{2}\right) x^{8}}{8}+a^{2} b \,d^{3} x +\frac{\left(2 \left(2 a c +b^{2}\right) c \,e^{3}+2 \left(b \,e^{3}+6 d \,e^{2} c \right) b c +\left(3 b d \,e^{2}+6 c \,d^{2} e \right) c^{2}\right) x^{7}}{7}+\frac{\left(4 a b c \,e^{3}+2 \left(3 b d \,e^{2}+6 c \,d^{2} e \right) b c +\left(3 b \,d^{2} e +2 c \,d^{3}\right) c^{2}+\left(b \,e^{3}+6 d \,e^{2} c \right) \left(2 a c +b^{2}\right)\right) x^{6}}{6}+\frac{\left(2 a^{2} c \,e^{3}+b \,c^{2} d^{3}+2 \left(b \,e^{3}+6 d \,e^{2} c \right) a b +2 \left(3 b \,d^{2} e +2 c \,d^{3}\right) b c +\left(3 b d \,e^{2}+6 c \,d^{2} e \right) \left(2 a c +b^{2}\right)\right) x^{5}}{5}+\frac{\left(2 b^{2} c \,d^{3}+\left(b \,e^{3}+6 d \,e^{2} c \right) a^{2}+2 \left(3 b d \,e^{2}+6 c \,d^{2} e \right) a b +\left(3 b \,d^{2} e +2 c \,d^{3}\right) \left(2 a c +b^{2}\right)\right) x^{4}}{4}+\frac{\left(\left(2 a c +b^{2}\right) b \,d^{3}+\left(3 b d \,e^{2}+6 c \,d^{2} e \right) a^{2}+2 \left(3 b \,d^{2} e +2 c \,d^{3}\right) a b \right) x^{3}}{3}+\frac{\left(2 a \,b^{2} d^{3}+\left(3 b \,d^{2} e +2 c \,d^{3}\right) a^{2}\right) x^{2}}{2}"," ",0,"2/9*c^3*e^3*x^9+1/8*((b*e^3+6*c*d*e^2)*c^2+4*c^2*e^3*b)*x^8+1/7*((3*b*d*e^2+6*c*d^2*e)*c^2+2*(b*e^3+6*c*d*e^2)*b*c+2*c*e^3*(2*a*c+b^2))*x^7+1/6*((3*b*d^2*e+2*c*d^3)*c^2+2*(3*b*d*e^2+6*c*d^2*e)*b*c+(b*e^3+6*c*d*e^2)*(2*a*c+b^2)+4*a*b*c*e^3)*x^6+1/5*(b*d^3*c^2+2*(3*b*d^2*e+2*c*d^3)*b*c+(3*b*d*e^2+6*c*d^2*e)*(2*a*c+b^2)+2*(b*e^3+6*c*d*e^2)*a*b+2*a^2*c*e^3)*x^5+1/4*(2*b^2*d^3*c+(3*b*d^2*e+2*c*d^3)*(2*a*c+b^2)+2*(3*b*d*e^2+6*c*d^2*e)*a*b+(b*e^3+6*c*d*e^2)*a^2)*x^4+1/3*(b*d^3*(2*a*c+b^2)+2*(3*b*d^2*e+2*c*d^3)*a*b+(3*b*d*e^2+6*c*d^2*e)*a^2)*x^3+1/2*(2*b^2*d^3*a+(3*b*d^2*e+2*c*d^3)*a^2)*x^2+b*d^3*a^2*x","A"
1506,1,302,228,0.038000," ","int((2*c*x+b)*(e*x+d)^2*(c*x^2+b*x+a)^2,x)","\frac{c^{3} e^{2} x^{8}}{4}+\frac{\left(4 b \,c^{2} e^{2}+\left(b \,e^{2}+4 c d e \right) c^{2}\right) x^{7}}{7}+a^{2} b \,d^{2} x +\frac{\left(2 \left(2 a c +b^{2}\right) c \,e^{2}+2 \left(b \,e^{2}+4 c d e \right) b c +\left(2 b d e +2 c \,d^{2}\right) c^{2}\right) x^{6}}{6}+\frac{\left(4 a b c \,e^{2}+b \,c^{2} d^{2}+2 \left(2 b d e +2 c \,d^{2}\right) b c +\left(b \,e^{2}+4 c d e \right) \left(2 a c +b^{2}\right)\right) x^{5}}{5}+\frac{\left(2 a^{2} c \,e^{2}+2 b^{2} c \,d^{2}+2 \left(b \,e^{2}+4 c d e \right) a b +\left(2 b d e +2 c \,d^{2}\right) \left(2 a c +b^{2}\right)\right) x^{4}}{4}+\frac{\left(\left(2 a c +b^{2}\right) b \,d^{2}+\left(b \,e^{2}+4 c d e \right) a^{2}+2 \left(2 b d e +2 c \,d^{2}\right) a b \right) x^{3}}{3}+\frac{\left(2 a \,b^{2} d^{2}+\left(2 b d e +2 c \,d^{2}\right) a^{2}\right) x^{2}}{2}"," ",0,"1/4*c^3*e^2*x^8+1/7*((b*e^2+4*c*d*e)*c^2+4*c^2*e^2*b)*x^7+1/6*((2*b*d*e+2*c*d^2)*c^2+2*(b*e^2+4*c*d*e)*b*c+2*c*e^2*(2*a*c+b^2))*x^6+1/5*(b*c^2*d^2+2*(2*b*d*e+2*c*d^2)*b*c+(b*e^2+4*c*d*e)*(2*a*c+b^2)+4*c*e^2*a*b)*x^5+1/4*(2*b^2*d^2*c+(2*b*d*e+2*c*d^2)*(2*a*c+b^2)+2*(b*e^2+4*c*d*e)*a*b+2*c*e^2*a^2)*x^4+1/3*(b*d^2*(2*a*c+b^2)+2*(2*b*d*e+2*c*d^2)*a*b+(b*e^2+4*c*d*e)*a^2)*x^3+1/2*(2*a*b^2*d^2+(2*b*d*e+2*c*d^2)*a^2)*x^2+b*d^2*a^2*x","A"
1507,1,176,141,0.038000," ","int((2*c*x+b)*(e*x+d)*(c*x^2+b*x+a)^2,x)","\frac{2 c^{3} e \,x^{7}}{7}+\frac{\left(4 b \,c^{2} e +\left(b e +2 c d \right) c^{2}\right) x^{6}}{6}+a^{2} b d x +\frac{\left(b \,c^{2} d +2 \left(b e +2 c d \right) b c +2 \left(2 a c +b^{2}\right) c e \right) x^{5}}{5}+\frac{\left(4 a b c e +2 b^{2} c d +\left(b e +2 c d \right) \left(2 a c +b^{2}\right)\right) x^{4}}{4}+\frac{\left(2 a^{2} c e +2 \left(b e +2 c d \right) a b +\left(2 a c +b^{2}\right) b d \right) x^{3}}{3}+\frac{\left(2 a \,b^{2} d +\left(b e +2 c d \right) a^{2}\right) x^{2}}{2}"," ",0,"2/7*c^3*e*x^7+1/6*((b*e+2*c*d)*c^2+4*c^2*e*b)*x^6+1/5*(b*c^2*d+2*(b*e+2*c*d)*b*c+2*c*e*(2*a*c+b^2))*x^5+1/4*(2*b^2*c*d+(b*e+2*c*d)*(2*a*c+b^2)+4*a*b*c*e)*x^4+1/3*(b*d*(2*a*c+b^2)+2*(b*e+2*c*d)*a*b+2*a^2*c*e)*x^3+1/2*(2*b^2*d*a+(b*e+2*c*d)*a^2)*x^2+a^2*b*d*x","A"
1508,1,86,14,0.046000," ","int((2*c*x+b)*(c*x^2+b*x+a)^2,x)","\frac{c^{3} x^{6}}{3}+b \,c^{2} x^{5}+a^{2} b x +\frac{\left(2 b^{2} c +2 \left(2 a c +b^{2}\right) c \right) x^{4}}{4}+\frac{\left(4 a b c +\left(2 a c +b^{2}\right) b \right) x^{3}}{3}+\frac{\left(2 c \,a^{2}+2 a \,b^{2}\right) x^{2}}{2}"," ",0,"1/3*c^3*x^6+b*c^2*x^5+1/4*(2*b^2*c+2*c*(2*a*c+b^2))*x^4+1/3*(b*(2*a*c+b^2)+4*a*b*c)*x^3+1/2*(2*a^2*c+2*a*b^2)*x^2+a^2*b*x","B"
1509,1,406,221,0.053000," ","int((2*c*x+b)*(c*x^2+b*x+a)^2/(e*x+d),x)","\frac{2 c^{3} x^{5}}{5 e}+\frac{5 b \,c^{2} x^{4}}{4 e}-\frac{c^{3} d \,x^{4}}{2 e^{2}}+\frac{4 a \,c^{2} x^{3}}{3 e}+\frac{4 b^{2} c \,x^{3}}{3 e}-\frac{5 b \,c^{2} d \,x^{3}}{3 e^{2}}+\frac{2 c^{3} d^{2} x^{3}}{3 e^{3}}+\frac{3 a b c \,x^{2}}{e}-\frac{2 a \,c^{2} d \,x^{2}}{e^{2}}+\frac{b^{3} x^{2}}{2 e}-\frac{2 b^{2} c d \,x^{2}}{e^{2}}+\frac{5 b \,c^{2} d^{2} x^{2}}{2 e^{3}}-\frac{c^{3} d^{3} x^{2}}{e^{4}}+\frac{a^{2} b \ln \left(e x +d \right)}{e}-\frac{2 a^{2} c d \ln \left(e x +d \right)}{e^{2}}+\frac{2 a^{2} c x}{e}-\frac{2 a \,b^{2} d \ln \left(e x +d \right)}{e^{2}}+\frac{2 a \,b^{2} x}{e}+\frac{6 a b c \,d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{6 a b c d x}{e^{2}}-\frac{4 a \,c^{2} d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{4 a \,c^{2} d^{2} x}{e^{3}}+\frac{b^{3} d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{b^{3} d x}{e^{2}}-\frac{4 b^{2} c \,d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{4 b^{2} c \,d^{2} x}{e^{3}}+\frac{5 b \,c^{2} d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{5 b \,c^{2} d^{3} x}{e^{4}}-\frac{2 c^{3} d^{5} \ln \left(e x +d \right)}{e^{6}}+\frac{2 c^{3} d^{4} x}{e^{5}}"," ",0,"4/3/e*x^3*a*c^2+4/3/e*x^3*b^2*c+2/3/e^3*x^3*c^3*d^2-1/e^4*x^2*c^3*d^3+5/4/e*x^4*b*c^2+1/e*ln(e*x+d)*a^2*b+2/e^5*x*c^3*d^4+2/e*x*a^2*c+2/e*x*a*b^2-1/e^2*x*b^3*d-1/2/e^2*x^4*c^3*d+1/e^3*ln(e*x+d)*b^3*d^2-2/e^6*ln(e*x+d)*c^3*d^5+6/e^3*ln(e*x+d)*a*b*c*d^2-6/e^2*x*a*b*c*d-2/e^2*x^2*b^2*c*d+5/2/e^3*x^2*b*c^2*d^2-5/3/e^2*x^3*b*c^2*d+3/e*x^2*a*b*c-2/e^2*x^2*a*c^2*d-5/e^4*x*b*c^2*d^3+4/e^3*x*b^2*c*d^2-4/e^4*ln(e*x+d)*a*c^2*d^3-4/e^4*ln(e*x+d)*b^2*c*d^3-2/e^2*ln(e*x+d)*a^2*c*d+4/e^3*x*a*c^2*d^2+5/e^5*ln(e*x+d)*b*c^2*d^4-2/e^2*ln(e*x+d)*a*b^2*d+2/5/e*c^3*x^5+1/2/e*x^2*b^3","A"
1510,1,444,219,0.057000," ","int((2*c*x+b)*(c*x^2+b*x+a)^2/(e*x+d)^2,x)","\frac{c^{3} x^{4}}{2 e^{2}}+\frac{5 b \,c^{2} x^{3}}{3 e^{2}}-\frac{4 c^{3} d \,x^{3}}{3 e^{3}}+\frac{2 a \,c^{2} x^{2}}{e^{2}}+\frac{2 b^{2} c \,x^{2}}{e^{2}}-\frac{5 b \,c^{2} d \,x^{2}}{e^{3}}+\frac{3 c^{3} d^{2} x^{2}}{e^{4}}-\frac{a^{2} b}{\left(e x +d \right) e}+\frac{2 a^{2} c d}{\left(e x +d \right) e^{2}}+\frac{2 a^{2} c \ln \left(e x +d \right)}{e^{2}}+\frac{2 a \,b^{2} d}{\left(e x +d \right) e^{2}}+\frac{2 a \,b^{2} \ln \left(e x +d \right)}{e^{2}}-\frac{6 a b c \,d^{2}}{\left(e x +d \right) e^{3}}-\frac{12 a b c d \ln \left(e x +d \right)}{e^{3}}+\frac{6 a b c x}{e^{2}}+\frac{4 a \,c^{2} d^{3}}{\left(e x +d \right) e^{4}}+\frac{12 a \,c^{2} d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{8 a \,c^{2} d x}{e^{3}}-\frac{b^{3} d^{2}}{\left(e x +d \right) e^{3}}-\frac{2 b^{3} d \ln \left(e x +d \right)}{e^{3}}+\frac{b^{3} x}{e^{2}}+\frac{4 b^{2} c \,d^{3}}{\left(e x +d \right) e^{4}}+\frac{12 b^{2} c \,d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{8 b^{2} c d x}{e^{3}}-\frac{5 b \,c^{2} d^{4}}{\left(e x +d \right) e^{5}}-\frac{20 b \,c^{2} d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{15 b \,c^{2} d^{2} x}{e^{4}}+\frac{2 c^{3} d^{5}}{\left(e x +d \right) e^{6}}+\frac{10 c^{3} d^{4} \ln \left(e x +d \right)}{e^{6}}-\frac{8 c^{3} d^{3} x}{e^{5}}"," ",0,"2/e^6/(e*x+d)*c^3*d^5+2/e^2*x^2*a*c^2+2/e^2*x^2*b^2*c+5/3/e^2*x^3*b*c^2-4/3/e^3*x^3*c^3*d+3/e^4*x^2*c^3*d^2-8/e^5*c^3*d^3*x-1/e/(e*x+d)*a^2*b-1/e^3/(e*x+d)*b^3*d^2+2/e^2*ln(e*x+d)*a^2*c+2/e^2*ln(e*x+d)*a*b^2+10/e^6*ln(e*x+d)*c^3*d^4-2/e^3*ln(e*x+d)*b^3*d-12/e^3*ln(e*x+d)*a*b*c*d-6/e^3/(e*x+d)*a*b*c*d^2+4/e^4/(e*x+d)*b^2*c*d^3-5/e^5/(e*x+d)*b*c^2*d^4+12/e^4*ln(e*x+d)*a*c^2*d^2+12/e^4*ln(e*x+d)*b^2*c*d^2-20/e^5*ln(e*x+d)*b*c^2*d^3-8/e^3*c^2*a*d*x-8/e^3*b^2*c*d*x+15/e^4*b*c^2*d^2*x+2/e^2/(e*x+d)*a^2*c*d-5/e^3*x^2*b*c^2*d+6/e^2*a*b*c*x+2/e^2/(e*x+d)*d*a*b^2+4/e^4/(e*x+d)*a*c^2*d^3+1/e^2*b^3*x+1/2*c^3*x^4/e^2","B"
1511,1,471,213,0.049000," ","int((2*c*x+b)*(c*x^2+b*x+a)^2/(e*x+d)^3,x)","\frac{2 c^{3} x^{3}}{3 e^{3}}-\frac{a^{2} b}{2 \left(e x +d \right)^{2} e}+\frac{a^{2} c d}{\left(e x +d \right)^{2} e^{2}}+\frac{a \,b^{2} d}{\left(e x +d \right)^{2} e^{2}}-\frac{3 a b c \,d^{2}}{\left(e x +d \right)^{2} e^{3}}+\frac{2 a \,c^{2} d^{3}}{\left(e x +d \right)^{2} e^{4}}-\frac{b^{3} d^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{2 b^{2} c \,d^{3}}{\left(e x +d \right)^{2} e^{4}}-\frac{5 b \,c^{2} d^{4}}{2 \left(e x +d \right)^{2} e^{5}}+\frac{5 b \,c^{2} x^{2}}{2 e^{3}}+\frac{c^{3} d^{5}}{\left(e x +d \right)^{2} e^{6}}-\frac{3 c^{3} d \,x^{2}}{e^{4}}-\frac{2 a^{2} c}{\left(e x +d \right) e^{2}}-\frac{2 a \,b^{2}}{\left(e x +d \right) e^{2}}+\frac{12 a b c d}{\left(e x +d \right) e^{3}}+\frac{6 a b c \ln \left(e x +d \right)}{e^{3}}-\frac{12 a \,c^{2} d^{2}}{\left(e x +d \right) e^{4}}-\frac{12 a \,c^{2} d \ln \left(e x +d \right)}{e^{4}}+\frac{4 a \,c^{2} x}{e^{3}}+\frac{2 b^{3} d}{\left(e x +d \right) e^{3}}+\frac{b^{3} \ln \left(e x +d \right)}{e^{3}}-\frac{12 b^{2} c \,d^{2}}{\left(e x +d \right) e^{4}}-\frac{12 b^{2} c d \ln \left(e x +d \right)}{e^{4}}+\frac{4 b^{2} c x}{e^{3}}+\frac{20 b \,c^{2} d^{3}}{\left(e x +d \right) e^{5}}+\frac{30 b \,c^{2} d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{15 b \,c^{2} d x}{e^{4}}-\frac{10 c^{3} d^{4}}{\left(e x +d \right) e^{6}}-\frac{20 c^{3} d^{3} \ln \left(e x +d \right)}{e^{6}}+\frac{12 c^{3} d^{2} x}{e^{5}}"," ",0,"12/e^3/(e*x+d)*a*b*c*d-3/e^3/(e*x+d)^2*d^2*a*b*c+1/e^6/(e*x+d)^2*c^3*d^5-20/e^6*ln(e*x+d)*c^3*d^3-3*c^3/e^4*x^2*d+4*c^2/e^3*x*a-1/2/e^3/(e*x+d)^2*d^2*b^3+4*c/e^3*x*b^2+12*c^3/e^5*x*d^2-2/e^2/(e*x+d)*a^2*c-2/e^2/(e*x+d)*a*b^2+2/e^3/(e*x+d)*b^3*d-10/e^6/(e*x+d)*c^3*d^4-1/2/e/(e*x+d)^2*a^2*b+5/2*c^2/e^3*x^2*b-12/e^4/(e*x+d)*b^2*c*d^2+20/e^5/(e*x+d)*b*c^2*d^3-5/2/e^5/(e*x+d)^2*b*c^2*d^4-12/e^4*ln(e*x+d)*b^2*c*d+1/e^2/(e*x+d)^2*a^2*c*d+1/e^2/(e*x+d)^2*d*a*b^2+2/e^4/(e*x+d)^2*a*c^2*d^3+2/e^4/(e*x+d)^2*b^2*c*d^3-12/e^4/(e*x+d)*a*c^2*d^2-15*c^2/e^4*x*b*d+30/e^5*ln(e*x+d)*b*c^2*d^2+6/e^3*ln(e*x+d)*a*b*c-12/e^4*ln(e*x+d)*c^2*a*d+1/e^3*ln(e*x+d)*b^3+2/3*c^3*x^3/e^3","B"
1512,1,495,215,0.051000," ","int((2*c*x+b)*(c*x^2+b*x+a)^2/(e*x+d)^4,x)","-\frac{a^{2} b}{3 \left(e x +d \right)^{3} e}+\frac{2 a^{2} c d}{3 \left(e x +d \right)^{3} e^{2}}+\frac{2 a \,b^{2} d}{3 \left(e x +d \right)^{3} e^{2}}-\frac{2 a b c \,d^{2}}{\left(e x +d \right)^{3} e^{3}}+\frac{4 a \,c^{2} d^{3}}{3 \left(e x +d \right)^{3} e^{4}}-\frac{b^{3} d^{2}}{3 \left(e x +d \right)^{3} e^{3}}+\frac{4 b^{2} c \,d^{3}}{3 \left(e x +d \right)^{3} e^{4}}-\frac{5 b \,c^{2} d^{4}}{3 \left(e x +d \right)^{3} e^{5}}+\frac{2 c^{3} d^{5}}{3 \left(e x +d \right)^{3} e^{6}}-\frac{a^{2} c}{\left(e x +d \right)^{2} e^{2}}-\frac{a \,b^{2}}{\left(e x +d \right)^{2} e^{2}}+\frac{6 a b c d}{\left(e x +d \right)^{2} e^{3}}-\frac{6 a \,c^{2} d^{2}}{\left(e x +d \right)^{2} e^{4}}+\frac{b^{3} d}{\left(e x +d \right)^{2} e^{3}}-\frac{6 b^{2} c \,d^{2}}{\left(e x +d \right)^{2} e^{4}}+\frac{10 b \,c^{2} d^{3}}{\left(e x +d \right)^{2} e^{5}}-\frac{5 c^{3} d^{4}}{\left(e x +d \right)^{2} e^{6}}+\frac{c^{3} x^{2}}{e^{4}}-\frac{6 a b c}{\left(e x +d \right) e^{3}}+\frac{12 a \,c^{2} d}{\left(e x +d \right) e^{4}}+\frac{4 a \,c^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{b^{3}}{\left(e x +d \right) e^{3}}+\frac{12 b^{2} c d}{\left(e x +d \right) e^{4}}+\frac{4 b^{2} c \ln \left(e x +d \right)}{e^{4}}-\frac{30 b \,c^{2} d^{2}}{\left(e x +d \right) e^{5}}-\frac{20 b \,c^{2} d \ln \left(e x +d \right)}{e^{5}}+\frac{5 b \,c^{2} x}{e^{4}}+\frac{20 c^{3} d^{3}}{\left(e x +d \right) e^{6}}+\frac{20 c^{3} d^{2} \ln \left(e x +d \right)}{e^{6}}-\frac{8 c^{3} d x}{e^{5}}"," ",0,"6/e^3/(e*x+d)^2*a*b*c*d-2/e^3/(e*x+d)^3*d^2*a*b*c-1/e^3/(e*x+d)*b^3-1/3/e/(e*x+d)^3*a^2*b-1/3/e^3/(e*x+d)^3*d^2*b^3+2/3/e^6/(e*x+d)^3*c^3*d^5+20/e^6/(e*x+d)*c^3*d^3+5*c^2/e^4*b*x-8*c^3/e^5*x*d+4*c^2/e^4*ln(e*x+d)*a+4*c/e^4*ln(e*x+d)*b^2+20*c^3/e^6*ln(e*x+d)*d^2-1/e^2/(e*x+d)^2*a*b^2+1/e^3/(e*x+d)^2*b^3*d-5/e^6/(e*x+d)^2*c^3*d^4-1/e^2/(e*x+d)^2*a^2*c-6/e^4/(e*x+d)^2*a*c^2*d^2-6/e^4/(e*x+d)^2*b^2*c*d^2-30/e^5/(e*x+d)*b*c^2*d^2-5/3/e^5/(e*x+d)^3*b*c^2*d^4+10/e^5/(e*x+d)^2*b*c^2*d^3+2/3/e^2/(e*x+d)^3*a^2*c*d+2/3/e^2/(e*x+d)^3*d*a*b^2+4/3/e^4/(e*x+d)^3*a*c^2*d^3+4/3/e^4/(e*x+d)^3*d^3*b^2*c-20*c^2/e^5*ln(e*x+d)*b*d-6/e^3/(e*x+d)*a*b*c+12/e^4/(e*x+d)*c^2*a*d+12/e^4/(e*x+d)*b^2*c*d+c^3*x^2/e^4","B"
1513,1,507,221,0.060000," ","int((2*c*x+b)*(c*x^2+b*x+a)^2/(e*x+d)^5,x)","-\frac{a^{2} b}{4 \left(e x +d \right)^{4} e}+\frac{a^{2} c d}{2 \left(e x +d \right)^{4} e^{2}}+\frac{a \,b^{2} d}{2 \left(e x +d \right)^{4} e^{2}}-\frac{3 a b c \,d^{2}}{2 \left(e x +d \right)^{4} e^{3}}+\frac{a \,c^{2} d^{3}}{\left(e x +d \right)^{4} e^{4}}-\frac{b^{3} d^{2}}{4 \left(e x +d \right)^{4} e^{3}}+\frac{b^{2} c \,d^{3}}{\left(e x +d \right)^{4} e^{4}}-\frac{5 b \,c^{2} d^{4}}{4 \left(e x +d \right)^{4} e^{5}}+\frac{c^{3} d^{5}}{2 \left(e x +d \right)^{4} e^{6}}-\frac{2 a^{2} c}{3 \left(e x +d \right)^{3} e^{2}}-\frac{2 a \,b^{2}}{3 \left(e x +d \right)^{3} e^{2}}+\frac{4 a b c d}{\left(e x +d \right)^{3} e^{3}}-\frac{4 a \,c^{2} d^{2}}{\left(e x +d \right)^{3} e^{4}}+\frac{2 b^{3} d}{3 \left(e x +d \right)^{3} e^{3}}-\frac{4 b^{2} c \,d^{2}}{\left(e x +d \right)^{3} e^{4}}+\frac{20 b \,c^{2} d^{3}}{3 \left(e x +d \right)^{3} e^{5}}-\frac{10 c^{3} d^{4}}{3 \left(e x +d \right)^{3} e^{6}}-\frac{3 a b c}{\left(e x +d \right)^{2} e^{3}}+\frac{6 a \,c^{2} d}{\left(e x +d \right)^{2} e^{4}}-\frac{b^{3}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{6 b^{2} c d}{\left(e x +d \right)^{2} e^{4}}-\frac{15 b \,c^{2} d^{2}}{\left(e x +d \right)^{2} e^{5}}+\frac{10 c^{3} d^{3}}{\left(e x +d \right)^{2} e^{6}}-\frac{4 a \,c^{2}}{\left(e x +d \right) e^{4}}-\frac{4 b^{2} c}{\left(e x +d \right) e^{4}}+\frac{20 b \,c^{2} d}{\left(e x +d \right) e^{5}}+\frac{5 b \,c^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{20 c^{3} d^{2}}{\left(e x +d \right) e^{6}}-\frac{10 c^{3} d \ln \left(e x +d \right)}{e^{6}}+\frac{2 c^{3} x}{e^{5}}"," ",0,"-3/2/e^3/(e*x+d)^4*d^2*a*b*c+4/e^3/(e*x+d)^3*a*b*c*d+1/2/e^2/(e*x+d)^4*a^2*c*d-15/e^5/(e*x+d)^2*b*c^2*d^2-4*c/e^4/(e*x+d)*b^2-20*c^3/e^6/(e*x+d)*d^2-4*c^2/e^4/(e*x+d)*a-2/3/e^2/(e*x+d)^3*a^2*c-2/3/e^2/(e*x+d)^3*a*b^2+2/3/e^3/(e*x+d)^3*b^3*d-10/3/e^6/(e*x+d)^3*c^3*d^4+10/e^6/(e*x+d)^2*c^3*d^3-1/4/e/(e*x+d)^4*a^2*b-1/4/e^3/(e*x+d)^4*d^2*b^3+5*c^2/e^5*ln(e*x+d)*b-10*c^3/e^6*ln(e*x+d)*d+1/2/e^6/(e*x+d)^4*c^3*d^5-1/2/e^3/(e*x+d)^2*b^3-3/e^3/(e*x+d)^2*a*b*c+6/e^4/(e*x+d)^2*c^2*a*d+6/e^4/(e*x+d)^2*b^2*c*d+20*c^2/e^5/(e*x+d)*b*d-4/e^4/(e*x+d)^3*a*c^2*d^2-4/e^4/(e*x+d)^3*b^2*c*d^2-5/4/e^5/(e*x+d)^4*d^4*b*c^2+20/3/e^5/(e*x+d)^3*b*c^2*d^3+1/2/e^2/(e*x+d)^4*d*a*b^2+1/e^4/(e*x+d)^4*a*c^2*d^3+1/e^4/(e*x+d)^4*d^3*b^2*c+2*c^3*x/e^5","B"
1514,1,1052,395,0.040000," ","int((2*c*x+b)*(e*x+d)^4*(c*x^2+b*x+a)^3,x)","\frac{c^{4} e^{4} x^{12}}{6}+\frac{\left(6 b \,c^{3} e^{4}+\left(b \,e^{4}+8 c d \,e^{3}\right) c^{3}\right) x^{11}}{11}+\frac{\left(2 \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) c \,e^{4}+3 \left(b \,e^{4}+8 c d \,e^{3}\right) b \,c^{2}+\left(4 b d \,e^{3}+12 c \,d^{2} e^{2}\right) c^{3}\right) x^{10}}{10}+a^{3} b \,d^{4} x +\frac{\left(2 \left(4 a b c +\left(2 a c +b^{2}\right) b \right) c \,e^{4}+3 \left(4 b d \,e^{3}+12 c \,d^{2} e^{2}\right) b \,c^{2}+\left(6 b \,d^{2} e^{2}+8 c \,d^{3} e \right) c^{3}+\left(b \,e^{4}+8 c d \,e^{3}\right) \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right)\right) x^{9}}{9}+\frac{\left(2 \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) c \,e^{4}+3 \left(6 b \,d^{2} e^{2}+8 c \,d^{3} e \right) b \,c^{2}+\left(4 b \,d^{3} e +2 c \,d^{4}\right) c^{3}+\left(4 b d \,e^{3}+12 c \,d^{2} e^{2}\right) \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right)+\left(b \,e^{4}+8 c d \,e^{3}\right) \left(4 a b c +\left(2 a c +b^{2}\right) b \right)\right) x^{8}}{8}+\frac{\left(6 a^{2} b c \,e^{4}+b \,c^{3} d^{4}+3 \left(4 b \,d^{3} e +2 c \,d^{4}\right) b \,c^{2}+\left(6 b \,d^{2} e^{2}+8 c \,d^{3} e \right) \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right)+\left(4 b d \,e^{3}+12 c \,d^{2} e^{2}\right) \left(4 a b c +\left(2 a c +b^{2}\right) b \right)+\left(b \,e^{4}+8 c d \,e^{3}\right) \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right)\right) x^{7}}{7}+\frac{\left(2 a^{3} c \,e^{4}+3 b^{2} c^{2} d^{4}+3 \left(b \,e^{4}+8 c d \,e^{3}\right) a^{2} b +\left(4 b \,d^{3} e +2 c \,d^{4}\right) \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right)+\left(6 b \,d^{2} e^{2}+8 c \,d^{3} e \right) \left(4 a b c +\left(2 a c +b^{2}\right) b \right)+\left(4 b d \,e^{3}+12 c \,d^{2} e^{2}\right) \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right)\right) x^{6}}{6}+\frac{\left(\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) b \,d^{4}+\left(b \,e^{4}+8 c d \,e^{3}\right) a^{3}+3 \left(4 b d \,e^{3}+12 c \,d^{2} e^{2}\right) a^{2} b +\left(4 b \,d^{3} e +2 c \,d^{4}\right) \left(4 a b c +\left(2 a c +b^{2}\right) b \right)+\left(6 b \,d^{2} e^{2}+8 c \,d^{3} e \right) \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right)\right) x^{5}}{5}+\frac{\left(\left(4 a b c +\left(2 a c +b^{2}\right) b \right) b \,d^{4}+\left(4 b d \,e^{3}+12 c \,d^{2} e^{2}\right) a^{3}+3 \left(6 b \,d^{2} e^{2}+8 c \,d^{3} e \right) a^{2} b +\left(4 b \,d^{3} e +2 c \,d^{4}\right) \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right)\right) x^{4}}{4}+\frac{\left(\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) b \,d^{4}+\left(6 b \,d^{2} e^{2}+8 c \,d^{3} e \right) a^{3}+3 \left(4 b \,d^{3} e +2 c \,d^{4}\right) a^{2} b \right) x^{3}}{3}+\frac{\left(3 a^{2} b^{2} d^{4}+\left(4 b \,d^{3} e +2 c \,d^{4}\right) a^{3}\right) x^{2}}{2}"," ",0,"1/6*c^4*e^4*x^12+1/11*((b*e^4+8*c*d*e^3)*c^3+6*c^3*e^4*b)*x^11+1/10*((4*b*d*e^3+12*c*d^2*e^2)*c^3+3*(b*e^4+8*c*d*e^3)*b*c^2+2*c*e^4*(a*c^2+2*b^2*c+(2*a*c+b^2)*c))*x^10+1/9*((6*b*d^2*e^2+8*c*d^3*e)*c^3+3*(4*b*d*e^3+12*c*d^2*e^2)*b*c^2+(b*e^4+8*c*d*e^3)*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+2*c*e^4*(4*a*b*c+(2*a*c+b^2)*b))*x^9+1/8*((4*b*d^3*e+2*c*d^4)*c^3+3*(6*b*d^2*e^2+8*c*d^3*e)*b*c^2+(4*b*d*e^3+12*c*d^2*e^2)*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+(b*e^4+8*c*d*e^3)*(4*a*b*c+(2*a*c+b^2)*b)+2*c*e^4*(a*(2*a*c+b^2)+2*a*b^2+c*a^2))*x^8+1/7*(b*d^4*c^3+3*(4*b*d^3*e+2*c*d^4)*b*c^2+(6*b*d^2*e^2+8*c*d^3*e)*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+(4*b*d*e^3+12*c*d^2*e^2)*(4*a*b*c+(2*a*c+b^2)*b)+(b*e^4+8*c*d*e^3)*(a*(2*a*c+b^2)+2*a*b^2+c*a^2)+6*c*e^4*a^2*b)*x^7+1/6*(3*b^2*d^4*c^2+(4*b*d^3*e+2*c*d^4)*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+(6*b*d^2*e^2+8*c*d^3*e)*(4*a*b*c+(2*a*c+b^2)*b)+(4*b*d*e^3+12*c*d^2*e^2)*(a*(2*a*c+b^2)+2*a*b^2+c*a^2)+3*(b*e^4+8*c*d*e^3)*a^2*b+2*c*e^4*a^3)*x^6+1/5*(b*d^4*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+(4*b*d^3*e+2*c*d^4)*(4*a*b*c+(2*a*c+b^2)*b)+(6*b*d^2*e^2+8*c*d^3*e)*(a*(2*a*c+b^2)+2*a*b^2+c*a^2)+3*(4*b*d*e^3+12*c*d^2*e^2)*a^2*b+(b*e^4+8*c*d*e^3)*a^3)*x^5+1/4*(b*d^4*(4*a*b*c+(2*a*c+b^2)*b)+(4*b*d^3*e+2*c*d^4)*(a*(2*a*c+b^2)+2*a*b^2+c*a^2)+3*(6*b*d^2*e^2+8*c*d^3*e)*a^2*b+(4*b*d*e^3+12*c*d^2*e^2)*a^3)*x^4+1/3*(b*d^4*(a*(2*a*c+b^2)+2*a*b^2+c*a^2)+3*(4*b*d^3*e+2*c*d^4)*a^2*b+(6*b*d^2*e^2+8*c*d^3*e)*a^3)*x^3+1/2*(3*b^2*d^4*a^2+(4*b*d^3*e+2*c*d^4)*a^3)*x^2+b*d^4*a^3*x","B"
1515,1,830,395,0.045000," ","int((2*c*x+b)*(e*x+d)^3*(c*x^2+b*x+a)^3,x)","\frac{2 c^{4} e^{3} x^{11}}{11}+\frac{\left(6 b \,c^{3} e^{3}+\left(b \,e^{3}+6 d \,e^{2} c \right) c^{3}\right) x^{10}}{10}+\frac{\left(2 \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) c \,e^{3}+3 \left(b \,e^{3}+6 d \,e^{2} c \right) b \,c^{2}+\left(3 b d \,e^{2}+6 c \,d^{2} e \right) c^{3}\right) x^{9}}{9}+a^{3} b \,d^{3} x +\frac{\left(2 \left(4 a b c +\left(2 a c +b^{2}\right) b \right) c \,e^{3}+3 \left(3 b d \,e^{2}+6 c \,d^{2} e \right) b \,c^{2}+\left(3 b \,d^{2} e +2 c \,d^{3}\right) c^{3}+\left(b \,e^{3}+6 d \,e^{2} c \right) \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right)\right) x^{8}}{8}+\frac{\left(b \,c^{3} d^{3}+2 \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) c \,e^{3}+3 \left(3 b \,d^{2} e +2 c \,d^{3}\right) b \,c^{2}+\left(3 b d \,e^{2}+6 c \,d^{2} e \right) \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right)+\left(b \,e^{3}+6 d \,e^{2} c \right) \left(4 a b c +\left(2 a c +b^{2}\right) b \right)\right) x^{7}}{7}+\frac{\left(6 a^{2} b c \,e^{3}+3 b^{2} c^{2} d^{3}+\left(3 b \,d^{2} e +2 c \,d^{3}\right) \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right)+\left(3 b d \,e^{2}+6 c \,d^{2} e \right) \left(4 a b c +\left(2 a c +b^{2}\right) b \right)+\left(b \,e^{3}+6 d \,e^{2} c \right) \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right)\right) x^{6}}{6}+\frac{\left(2 a^{3} c \,e^{3}+\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) b \,d^{3}+3 \left(b \,e^{3}+6 d \,e^{2} c \right) a^{2} b +\left(3 b \,d^{2} e +2 c \,d^{3}\right) \left(4 a b c +\left(2 a c +b^{2}\right) b \right)+\left(3 b d \,e^{2}+6 c \,d^{2} e \right) \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right)\right) x^{5}}{5}+\frac{\left(\left(4 a b c +\left(2 a c +b^{2}\right) b \right) b \,d^{3}+\left(b \,e^{3}+6 d \,e^{2} c \right) a^{3}+3 \left(3 b d \,e^{2}+6 c \,d^{2} e \right) a^{2} b +\left(3 b \,d^{2} e +2 c \,d^{3}\right) \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right)\right) x^{4}}{4}+\frac{\left(\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) b \,d^{3}+\left(3 b d \,e^{2}+6 c \,d^{2} e \right) a^{3}+3 \left(3 b \,d^{2} e +2 c \,d^{3}\right) a^{2} b \right) x^{3}}{3}+\frac{\left(3 a^{2} b^{2} d^{3}+\left(3 b \,d^{2} e +2 c \,d^{3}\right) a^{3}\right) x^{2}}{2}"," ",0,"2/11*c^4*e^3*x^11+1/10*((b*e^3+6*c*d*e^2)*c^3+6*c^3*e^3*b)*x^10+1/9*((3*b*d*e^2+6*c*d^2*e)*c^3+3*(b*e^3+6*c*d*e^2)*b*c^2+2*c*e^3*(a*c^2+2*b^2*c+(2*a*c+b^2)*c))*x^9+1/8*((3*b*d^2*e+2*c*d^3)*c^3+3*(3*b*d*e^2+6*c*d^2*e)*b*c^2+(b*e^3+6*c*d*e^2)*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+2*c*e^3*(4*a*b*c+(2*a*c+b^2)*b))*x^8+1/7*(b*d^3*c^3+3*(3*b*d^2*e+2*c*d^3)*b*c^2+(3*b*d*e^2+6*c*d^2*e)*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+(b*e^3+6*c*d*e^2)*(4*a*b*c+(2*a*c+b^2)*b)+2*c*e^3*(a^2*c+2*a*b^2+(2*a*c+b^2)*a))*x^7+1/6*(3*b^2*d^3*c^2+(3*b*d^2*e+2*c*d^3)*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+(3*b*d*e^2+6*c*d^2*e)*(4*a*b*c+(2*a*c+b^2)*b)+(b*e^3+6*c*d*e^2)*(a^2*c+2*a*b^2+(2*a*c+b^2)*a)+6*c*e^3*a^2*b)*x^6+1/5*(b*d^3*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+(3*b*d^2*e+2*c*d^3)*(4*a*b*c+(2*a*c+b^2)*b)+(3*b*d*e^2+6*c*d^2*e)*(a^2*c+2*a*b^2+(2*a*c+b^2)*a)+3*(b*e^3+6*c*d*e^2)*a^2*b+2*c*e^3*a^3)*x^5+1/4*(b*d^3*(4*a*b*c+(2*a*c+b^2)*b)+(3*b*d^2*e+2*c*d^3)*(a^2*c+2*a*b^2+(2*a*c+b^2)*a)+3*(3*b*d*e^2+6*c*d^2*e)*a^2*b+(b*e^3+6*c*d*e^2)*a^3)*x^4+1/3*(b*d^3*(a^2*c+2*a*b^2+(2*a*c+b^2)*a)+3*(3*b*d^2*e+2*c*d^3)*a^2*b+(3*b*d*e^2+6*c*d^2*e)*a^3)*x^3+1/2*(3*b^2*d^3*a^2+(3*b*d^2*e+2*c*d^3)*a^3)*x^2+b*d^3*a^3*x","B"
1516,1,608,395,0.041000," ","int((2*c*x+b)*(e*x+d)^2*(c*x^2+b*x+a)^3,x)","\frac{c^{4} e^{2} x^{10}}{5}+\frac{\left(6 b \,c^{3} e^{2}+\left(b \,e^{2}+4 c d e \right) c^{3}\right) x^{9}}{9}+\frac{\left(3 \left(b \,e^{2}+4 c d e \right) b \,c^{2}+\left(2 b d e +2 c \,d^{2}\right) c^{3}+2 \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) c \,e^{2}\right) x^{8}}{8}+a^{3} b \,d^{2} x +\frac{\left(b \,c^{3} d^{2}+3 \left(2 b d e +2 c \,d^{2}\right) b \,c^{2}+2 \left(4 a b c +\left(2 a c +b^{2}\right) b \right) c \,e^{2}+\left(b \,e^{2}+4 c d e \right) \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right)\right) x^{7}}{7}+\frac{\left(3 b^{2} c^{2} d^{2}+2 \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) c \,e^{2}+\left(2 b d e +2 c \,d^{2}\right) \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right)+\left(b \,e^{2}+4 c d e \right) \left(4 a b c +\left(2 a c +b^{2}\right) b \right)\right) x^{6}}{6}+\frac{\left(6 a^{2} b c \,e^{2}+\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) b \,d^{2}+\left(2 b d e +2 c \,d^{2}\right) \left(4 a b c +\left(2 a c +b^{2}\right) b \right)+\left(b \,e^{2}+4 c d e \right) \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right)\right) x^{5}}{5}+\frac{\left(2 a^{3} c \,e^{2}+3 \left(b \,e^{2}+4 c d e \right) a^{2} b +\left(4 a b c +\left(2 a c +b^{2}\right) b \right) b \,d^{2}+\left(2 b d e +2 c \,d^{2}\right) \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right)\right) x^{4}}{4}+\frac{\left(\left(b \,e^{2}+4 c d e \right) a^{3}+3 \left(2 b d e +2 c \,d^{2}\right) a^{2} b +\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) b \,d^{2}\right) x^{3}}{3}+\frac{\left(3 a^{2} b^{2} d^{2}+\left(2 b d e +2 c \,d^{2}\right) a^{3}\right) x^{2}}{2}"," ",0,"1/5*c^4*e^2*x^10+1/9*((b*e^2+4*c*d*e)*c^3+6*c^3*e^2*b)*x^9+1/8*((2*b*d*e+2*c*d^2)*c^3+3*(b*e^2+4*c*d*e)*b*c^2+2*c*e^2*(a*c^2+2*b^2*c+(2*a*c+b^2)*c))*x^8+1/7*(b*d^2*c^3+3*(2*b*d*e+2*c*d^2)*b*c^2+(b*e^2+4*c*d*e)*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+2*c*e^2*(4*a*b*c+(2*a*c+b^2)*b))*x^7+1/6*(3*b^2*d^2*c^2+(2*b*d*e+2*c*d^2)*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+(b*e^2+4*c*d*e)*(4*a*b*c+(2*a*c+b^2)*b)+2*c*e^2*(a^2*c+2*a*b^2+(2*a*c+b^2)*a))*x^6+1/5*(b*d^2*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+(2*b*d*e+2*c*d^2)*(4*a*b*c+(2*a*c+b^2)*b)+(b*e^2+4*c*d*e)*(a^2*c+2*a*b^2+(2*a*c+b^2)*a)+6*c*e^2*a^2*b)*x^5+1/4*(b*d^2*(4*a*b*c+(2*a*c+b^2)*b)+(2*b*d*e+2*c*d^2)*(a^2*c+2*a*b^2+(2*a*c+b^2)*a)+3*(b*e^2+4*c*d*e)*a^2*b+2*c*e^2*a^3)*x^4+1/3*(b*d^2*(a^2*c+2*a*b^2+(2*a*c+b^2)*a)+3*(2*b*d*e+2*c*d^2)*a^2*b+(b*e^2+4*c*d*e)*a^3)*x^3+1/2*(3*b^2*d^2*a^2+(2*b*d*e+2*c*d^2)*a^3)*x^2+b*d^2*a^3*x","A"
1517,1,386,235,0.044000," ","int((2*c*x+b)*(e*x+d)*(c*x^2+b*x+a)^3,x)","\frac{2 c^{4} e \,x^{9}}{9}+\frac{\left(6 b \,c^{3} e +\left(b e +2 c d \right) c^{3}\right) x^{8}}{8}+\frac{\left(b \,c^{3} d +3 \left(b e +2 c d \right) b \,c^{2}+2 \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) c e \right) x^{7}}{7}+a^{3} b d x +\frac{\left(3 b^{2} c^{2} d +2 \left(4 a b c +\left(2 a c +b^{2}\right) b \right) c e +\left(b e +2 c d \right) \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right)\right) x^{6}}{6}+\frac{\left(\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) b d +2 \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) c e +\left(b e +2 c d \right) \left(4 a b c +\left(2 a c +b^{2}\right) b \right)\right) x^{5}}{5}+\frac{\left(6 a^{2} b c e +\left(4 a b c +\left(2 a c +b^{2}\right) b \right) b d +\left(b e +2 c d \right) \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right)\right) x^{4}}{4}+\frac{\left(2 a^{3} c e +3 \left(b e +2 c d \right) a^{2} b +\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) b d \right) x^{3}}{3}+\frac{\left(3 a^{2} b^{2} d +\left(b e +2 c d \right) a^{3}\right) x^{2}}{2}"," ",0,"2/9*c^4*e*x^9+1/8*((b*e+2*c*d)*c^3+6*c^3*e*b)*x^8+1/7*(b*c^3*d+3*(b*e+2*c*d)*b*c^2+2*c*e*(a*c^2+2*b^2*c+(2*a*c+b^2)*c))*x^7+1/6*(3*b^2*d*c^2+(b*e+2*c*d)*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+2*c*e*(4*a*b*c+(2*a*c+b^2)*b))*x^6+1/5*(b*d*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+(b*e+2*c*d)*(4*a*b*c+(2*a*c+b^2)*b)+2*c*e*(a^2*c+2*a*b^2+(2*a*c+b^2)*a))*x^5+1/4*(b*d*(4*a*b*c+(2*a*c+b^2)*b)+(b*e+2*c*d)*(a^2*c+2*a*b^2+(2*a*c+b^2)*a)+6*a^2*b*c*e)*x^4+1/3*(b*d*(a^2*c+2*a*b^2+(2*a*c+b^2)*a)+3*(b*e+2*c*d)*a^2*b+2*c*e*a^3)*x^3+1/2*(3*b^2*d*a^2+(b*e+2*c*d)*a^3)*x^2+a^3*b*d*x","A"
1518,1,218,14,0.048000," ","int((2*c*x+b)*(c*x^2+b*x+a)^3,x)","\frac{c^{4} x^{8}}{4}+b \,c^{3} x^{7}+\frac{\left(3 b^{2} c^{2}+2 \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) c \right) x^{6}}{6}+a^{3} b x +\frac{\left(\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) b +2 \left(4 a b c +\left(2 a c +b^{2}\right) b \right) c \right) x^{5}}{5}+\frac{\left(\left(4 a b c +\left(2 a c +b^{2}\right) b \right) b +2 \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) c \right) x^{4}}{4}+\frac{\left(6 a^{2} b c +\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) b \right) x^{3}}{3}+\frac{\left(2 c \,a^{3}+3 a^{2} b^{2}\right) x^{2}}{2}"," ",0,"1/4*c^4*x^8+b*c^3*x^7+1/6*(3*b^2*c^2+2*c*(a*c^2+2*b^2*c+(2*a*c+b^2)*c))*x^6+1/5*(b*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+2*c*(4*a*b*c+(2*a*c+b^2)*b))*x^5+1/4*(b*(4*a*b*c+(2*a*c+b^2)*b)+2*c*(a^2*c+2*a*b^2+(2*a*c+b^2)*a))*x^4+1/3*(b*(a^2*c+2*a*b^2+(2*a*c+b^2)*a)+6*a^2*b*c)*x^3+1/2*(2*a^3*c+3*a^2*b^2)*x^2+b*a^3*x","B"
1519,1,872,387,0.057000," ","int((2*c*x+b)*(c*x^2+b*x+a)^3/(e*x+d),x)","\frac{2 c^{4} x^{7}}{7 e}+\frac{7 b \,c^{3} x^{6}}{6 e}-\frac{c^{4} d \,x^{6}}{3 e^{2}}+\frac{6 a \,c^{3} x^{5}}{5 e}+\frac{9 b^{2} c^{2} x^{5}}{5 e}-\frac{7 b \,c^{3} d \,x^{5}}{5 e^{2}}+\frac{2 c^{4} d^{2} x^{5}}{5 e^{3}}+\frac{15 a b \,c^{2} x^{4}}{4 e}-\frac{3 a \,c^{3} d \,x^{4}}{2 e^{2}}+\frac{5 b^{3} c \,x^{4}}{4 e}-\frac{9 b^{2} c^{2} d \,x^{4}}{4 e^{2}}+\frac{7 b \,c^{3} d^{2} x^{4}}{4 e^{3}}-\frac{c^{4} d^{3} x^{4}}{2 e^{4}}+\frac{2 a^{2} c^{2} x^{3}}{e}+\frac{4 a \,b^{2} c \,x^{3}}{e}-\frac{5 a b \,c^{2} d \,x^{3}}{e^{2}}+\frac{2 a \,c^{3} d^{2} x^{3}}{e^{3}}+\frac{b^{4} x^{3}}{3 e}-\frac{5 b^{3} c d \,x^{3}}{3 e^{2}}+\frac{3 b^{2} c^{2} d^{2} x^{3}}{e^{3}}-\frac{7 b \,c^{3} d^{3} x^{3}}{3 e^{4}}+\frac{2 c^{4} d^{4} x^{3}}{3 e^{5}}+\frac{9 a^{2} b c \,x^{2}}{2 e}-\frac{3 a^{2} c^{2} d \,x^{2}}{e^{2}}+\frac{3 a \,b^{3} x^{2}}{2 e}-\frac{6 a \,b^{2} c d \,x^{2}}{e^{2}}+\frac{15 a b \,c^{2} d^{2} x^{2}}{2 e^{3}}-\frac{3 a \,c^{3} d^{3} x^{2}}{e^{4}}-\frac{b^{4} d \,x^{2}}{2 e^{2}}+\frac{5 b^{3} c \,d^{2} x^{2}}{2 e^{3}}-\frac{9 b^{2} c^{2} d^{3} x^{2}}{2 e^{4}}+\frac{7 b \,c^{3} d^{4} x^{2}}{2 e^{5}}-\frac{c^{4} d^{5} x^{2}}{e^{6}}+\frac{a^{3} b \ln \left(e x +d \right)}{e}-\frac{2 a^{3} c d \ln \left(e x +d \right)}{e^{2}}+\frac{2 a^{3} c x}{e}-\frac{3 a^{2} b^{2} d \ln \left(e x +d \right)}{e^{2}}+\frac{3 a^{2} b^{2} x}{e}+\frac{9 a^{2} b c \,d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{9 a^{2} b c d x}{e^{2}}-\frac{6 a^{2} c^{2} d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{6 a^{2} c^{2} d^{2} x}{e^{3}}+\frac{3 a \,b^{3} d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{3 a \,b^{3} d x}{e^{2}}-\frac{12 a \,b^{2} c \,d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{12 a \,b^{2} c \,d^{2} x}{e^{3}}+\frac{15 a b \,c^{2} d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{15 a b \,c^{2} d^{3} x}{e^{4}}-\frac{6 a \,c^{3} d^{5} \ln \left(e x +d \right)}{e^{6}}+\frac{6 a \,c^{3} d^{4} x}{e^{5}}-\frac{b^{4} d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{b^{4} d^{2} x}{e^{3}}+\frac{5 b^{3} c \,d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{5 b^{3} c \,d^{3} x}{e^{4}}-\frac{9 b^{2} c^{2} d^{5} \ln \left(e x +d \right)}{e^{6}}+\frac{9 b^{2} c^{2} d^{4} x}{e^{5}}+\frac{7 b \,c^{3} d^{6} \ln \left(e x +d \right)}{e^{7}}-\frac{7 b \,c^{3} d^{5} x}{e^{6}}-\frac{2 c^{4} d^{7} \ln \left(e x +d \right)}{e^{8}}+\frac{2 c^{4} d^{6} x}{e^{7}}"," ",0,"-15/e^4*x*a*b*c^2*d^3+12/e^3*x*a*b^2*c*d^2-9/e^2*x*a^2*b*c*d+15/2/e^3*x^2*a*b*c^2*d^2-6/e^2*x^2*a*b^2*c*d+15/e^5*ln(e*x+d)*a*b*c^2*d^4-12/e^4*ln(e*x+d)*a*b^2*c*d^3+9/e^3*ln(e*x+d)*a^2*b*c*d^2-5/e^2*x^3*a*b*c^2*d+2/e^7*x*c^4*d^6+1/e*ln(e*x+d)*a^3*b-1/e^4*ln(e*x+d)*b^4*d^3-2/e^8*ln(e*x+d)*c^4*d^7+7/6/e*x^6*b*c^3-1/3/e^2*x^6*c^4*d+1/e^3*x*b^4*d^2+2/5/e^3*x^5*c^4*d^2+6/5/e*x^5*a*c^3+9/5/e*x^5*b^2*c^2-1/2/e^2*x^2*b^4*d+3/2/e*x^2*a*b^3+2/3/e^5*x^3*c^4*d^4+2/e*x^3*a^2*c^2-1/2/e^4*x^4*c^4*d^3+5/4/e*x^4*b^3*c+2/e*x*a^3*c+3/e*x*a^2*b^2-1/e^6*x^2*c^4*d^5-6/e^6*ln(e*x+d)*a*c^3*d^5+5/e^5*ln(e*x+d)*b^3*c*d^4-9/e^6*ln(e*x+d)*b^2*c^2*d^5+7/e^7*ln(e*x+d)*b*c^3*d^6-3/e^2*x^2*a^2*c^2*d+2/e^3*x^3*a*c^3*d^2+3/e^3*ln(e*x+d)*a*b^3*d^2-3/e^4*x^2*a*c^3*d^3+5/2/e^3*x^2*b^3*c*d^2+6/e^3*x*a^2*c^2*d^2+7/2/e^5*x^2*b*c^3*d^4-3/e^2*x*a*b^3*d+3/e^3*x^3*b^2*c^2*d^2-7/3/e^4*x^3*b*c^3*d^3+9/2/e*x^2*a^2*b*c+6/e^5*x*a*c^3*d^4-5/e^4*x*b^3*c*d^3-2/e^2*ln(e*x+d)*a^3*c*d-3/e^2*ln(e*x+d)*a^2*b^2*d-6/e^4*ln(e*x+d)*a^2*c^2*d^3-9/2/e^4*x^2*b^2*c^2*d^3+4/e*x^3*a*b^2*c-9/4/e^2*x^4*b^2*c^2*d+7/4/e^3*x^4*b*c^3*d^2+15/4/e*x^4*a*b*c^2-3/2/e^2*x^4*a*c^3*d-7/5/e^2*x^5*b*c^3*d-5/3/e^2*x^3*b^3*c*d-7/e^6*x*b*c^3*d^5+9/e^5*x*b^2*c^2*d^4+2/7/e*c^4*x^7+1/3/e*x^3*b^4","B"
1520,1,930,386,0.059000," ","int((2*c*x+b)*(c*x^2+b*x+a)^3/(e*x+d)^2,x)","\frac{c^{4} x^{6}}{3 e^{2}}+\frac{7 b \,c^{3} x^{5}}{5 e^{2}}-\frac{4 c^{4} d \,x^{5}}{5 e^{3}}+\frac{3 a \,c^{3} x^{4}}{2 e^{2}}+\frac{9 b^{2} c^{2} x^{4}}{4 e^{2}}-\frac{7 b \,c^{3} d \,x^{4}}{2 e^{3}}+\frac{3 c^{4} d^{2} x^{4}}{2 e^{4}}+\frac{5 a b \,c^{2} x^{3}}{e^{2}}-\frac{4 a \,c^{3} d \,x^{3}}{e^{3}}+\frac{5 b^{3} c \,x^{3}}{3 e^{2}}-\frac{6 b^{2} c^{2} d \,x^{3}}{e^{3}}+\frac{7 b \,c^{3} d^{2} x^{3}}{e^{4}}-\frac{8 c^{4} d^{3} x^{3}}{3 e^{5}}+\frac{3 a^{2} c^{2} x^{2}}{e^{2}}+\frac{6 a \,b^{2} c \,x^{2}}{e^{2}}-\frac{15 a b \,c^{2} d \,x^{2}}{e^{3}}+\frac{9 a \,c^{3} d^{2} x^{2}}{e^{4}}+\frac{b^{4} x^{2}}{2 e^{2}}-\frac{5 b^{3} c d \,x^{2}}{e^{3}}+\frac{27 b^{2} c^{2} d^{2} x^{2}}{2 e^{4}}-\frac{14 b \,c^{3} d^{3} x^{2}}{e^{5}}+\frac{5 c^{4} d^{4} x^{2}}{e^{6}}-\frac{a^{3} b}{\left(e x +d \right) e}+\frac{2 a^{3} c d}{\left(e x +d \right) e^{2}}+\frac{2 a^{3} c \ln \left(e x +d \right)}{e^{2}}+\frac{3 a^{2} b^{2} d}{\left(e x +d \right) e^{2}}+\frac{3 a^{2} b^{2} \ln \left(e x +d \right)}{e^{2}}-\frac{9 a^{2} b c \,d^{2}}{\left(e x +d \right) e^{3}}-\frac{18 a^{2} b c d \ln \left(e x +d \right)}{e^{3}}+\frac{9 a^{2} b c x}{e^{2}}+\frac{6 a^{2} c^{2} d^{3}}{\left(e x +d \right) e^{4}}+\frac{18 a^{2} c^{2} d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{12 a^{2} c^{2} d x}{e^{3}}-\frac{3 a \,b^{3} d^{2}}{\left(e x +d \right) e^{3}}-\frac{6 a \,b^{3} d \ln \left(e x +d \right)}{e^{3}}+\frac{3 a \,b^{3} x}{e^{2}}+\frac{12 a \,b^{2} c \,d^{3}}{\left(e x +d \right) e^{4}}+\frac{36 a \,b^{2} c \,d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{24 a \,b^{2} c d x}{e^{3}}-\frac{15 a b \,c^{2} d^{4}}{\left(e x +d \right) e^{5}}-\frac{60 a b \,c^{2} d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{45 a b \,c^{2} d^{2} x}{e^{4}}+\frac{6 a \,c^{3} d^{5}}{\left(e x +d \right) e^{6}}+\frac{30 a \,c^{3} d^{4} \ln \left(e x +d \right)}{e^{6}}-\frac{24 a \,c^{3} d^{3} x}{e^{5}}+\frac{b^{4} d^{3}}{\left(e x +d \right) e^{4}}+\frac{3 b^{4} d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{2 b^{4} d x}{e^{3}}-\frac{5 b^{3} c \,d^{4}}{\left(e x +d \right) e^{5}}-\frac{20 b^{3} c \,d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{15 b^{3} c \,d^{2} x}{e^{4}}+\frac{9 b^{2} c^{2} d^{5}}{\left(e x +d \right) e^{6}}+\frac{45 b^{2} c^{2} d^{4} \ln \left(e x +d \right)}{e^{6}}-\frac{36 b^{2} c^{2} d^{3} x}{e^{5}}-\frac{7 b \,c^{3} d^{6}}{\left(e x +d \right) e^{7}}-\frac{42 b \,c^{3} d^{5} \ln \left(e x +d \right)}{e^{7}}+\frac{35 b \,c^{3} d^{4} x}{e^{6}}+\frac{2 c^{4} d^{7}}{\left(e x +d \right) e^{8}}+\frac{14 c^{4} d^{6} \ln \left(e x +d \right)}{e^{8}}-\frac{12 c^{4} d^{5} x}{e^{7}}"," ",0,"9/4/e^2*x^4*b^2*c^2+3/2/e^4*x^4*c^4*d^2-1/e/(e*x+d)*a^3*b-12/e^7*c^4*d^5*x+3/e^2*a*b^3*x-2/e^3*b^4*d*x-8/3/e^5*x^3*c^4*d^3+3/e^2*x^2*a^2*c^2+5/3/e^2*x^3*b^3*c+7/5/e^2*x^5*b*c^3-4/5/e^3*x^5*c^4*d+3/2/e^2*x^4*a*c^3+5/e^6*x^2*c^4*d^4+14/e^8*ln(e*x+d)*c^4*d^6+1/e^4/(e*x+d)*b^4*d^3+2/e^8/(e*x+d)*c^4*d^7+2/e^2*ln(e*x+d)*a^3*c+3/e^2*ln(e*x+d)*a^2*b^2+3/e^4*ln(e*x+d)*b^4*d^2-24/e^3*a*b^2*c*d*x+45/e^4*a*b*c^2*d^2*x-15/e^3*x^2*a*b*c^2*d-9/e^3/(e*x+d)*a^2*b*c*d^2+12/e^4/(e*x+d)*a*b^2*c*d^3-15/e^5/(e*x+d)*a*b*c^2*d^4-18/e^3*ln(e*x+d)*a^2*b*c*d+1/2/e^2*x^2*b^4+1/3/e^2*c^4*x^6+6/e^4/(e*x+d)*a^2*c^2*d^3-24/e^5*a*c^3*d^3*x+15/e^4*b^3*c*d^2*x-3/e^3/(e*x+d)*a*b^3*d^2+6/e^6/(e*x+d)*a*c^3*d^5-5/e^5/(e*x+d)*b^3*c*d^4+9/e^6/(e*x+d)*b^2*c^2*d^5-7/e^7/(e*x+d)*b*c^3*d^6+2/e^2/(e*x+d)*a^3*c*d+3/e^2/(e*x+d)*d*a^2*b^2+36/e^4*ln(e*x+d)*a*b^2*c*d^2-60/e^5*ln(e*x+d)*a*b*c^2*d^3+18/e^4*ln(e*x+d)*a^2*c^2*d^2-6/e^3*ln(e*x+d)*a*b^3*d+30/e^6*ln(e*x+d)*a*c^3*d^4-20/e^5*ln(e*x+d)*b^3*c*d^3+45/e^6*ln(e*x+d)*b^2*c^2*d^4-42/e^7*ln(e*x+d)*b*c^3*d^5-36/e^5*b^2*c^2*d^3*x+35/e^6*b*c^3*d^4*x+9/e^2*a^2*b*c*x-12/e^3*a^2*c^2*d*x+9/e^4*x^2*a*c^3*d^2-14/e^5*x^2*b*c^3*d^3-5/e^3*x^2*b^3*c*d+27/2/e^4*x^2*b^2*c^2*d^2-7/2/e^3*x^4*b*c^3*d+5/e^2*x^3*a*b*c^2-4/e^3*x^3*a*c^3*d-6/e^3*x^3*b^2*c^2*d+7/e^4*x^3*b*c^3*d^2+6/e^2*x^2*a*b^2*c","B"
1521,1,978,382,0.067000," ","int((2*c*x+b)*(c*x^2+b*x+a)^3/(e*x+d)^3,x)","\frac{2 c^{4} x^{5}}{5 e^{3}}+\frac{7 b \,c^{3} x^{4}}{4 e^{3}}-\frac{3 c^{4} d \,x^{4}}{2 e^{4}}+\frac{2 a \,c^{3} x^{3}}{e^{3}}+\frac{3 b^{2} c^{2} x^{3}}{e^{3}}-\frac{7 b \,c^{3} d \,x^{3}}{e^{4}}+\frac{4 c^{4} d^{2} x^{3}}{e^{5}}-\frac{a^{3} b}{2 \left(e x +d \right)^{2} e}+\frac{a^{3} c d}{\left(e x +d \right)^{2} e^{2}}+\frac{3 a^{2} b^{2} d}{2 \left(e x +d \right)^{2} e^{2}}-\frac{9 a^{2} b c \,d^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{3 a^{2} c^{2} d^{3}}{\left(e x +d \right)^{2} e^{4}}-\frac{3 a \,b^{3} d^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{6 a \,b^{2} c \,d^{3}}{\left(e x +d \right)^{2} e^{4}}-\frac{15 a b \,c^{2} d^{4}}{2 \left(e x +d \right)^{2} e^{5}}+\frac{15 a b \,c^{2} x^{2}}{2 e^{3}}+\frac{3 a \,c^{3} d^{5}}{\left(e x +d \right)^{2} e^{6}}-\frac{9 a \,c^{3} d \,x^{2}}{e^{4}}+\frac{b^{4} d^{3}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{5 b^{3} c \,d^{4}}{2 \left(e x +d \right)^{2} e^{5}}+\frac{5 b^{3} c \,x^{2}}{2 e^{3}}+\frac{9 b^{2} c^{2} d^{5}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{27 b^{2} c^{2} d \,x^{2}}{2 e^{4}}-\frac{7 b \,c^{3} d^{6}}{2 \left(e x +d \right)^{2} e^{7}}+\frac{21 b \,c^{3} d^{2} x^{2}}{e^{5}}+\frac{c^{4} d^{7}}{\left(e x +d \right)^{2} e^{8}}-\frac{10 c^{4} d^{3} x^{2}}{e^{6}}-\frac{2 a^{3} c}{\left(e x +d \right) e^{2}}-\frac{3 a^{2} b^{2}}{\left(e x +d \right) e^{2}}+\frac{18 a^{2} b c d}{\left(e x +d \right) e^{3}}+\frac{9 a^{2} b c \ln \left(e x +d \right)}{e^{3}}-\frac{18 a^{2} c^{2} d^{2}}{\left(e x +d \right) e^{4}}-\frac{18 a^{2} c^{2} d \ln \left(e x +d \right)}{e^{4}}+\frac{6 a^{2} c^{2} x}{e^{3}}+\frac{6 a \,b^{3} d}{\left(e x +d \right) e^{3}}+\frac{3 a \,b^{3} \ln \left(e x +d \right)}{e^{3}}-\frac{36 a \,b^{2} c \,d^{2}}{\left(e x +d \right) e^{4}}-\frac{36 a \,b^{2} c d \ln \left(e x +d \right)}{e^{4}}+\frac{12 a \,b^{2} c x}{e^{3}}+\frac{60 a b \,c^{2} d^{3}}{\left(e x +d \right) e^{5}}+\frac{90 a b \,c^{2} d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{45 a b \,c^{2} d x}{e^{4}}-\frac{30 a \,c^{3} d^{4}}{\left(e x +d \right) e^{6}}-\frac{60 a \,c^{3} d^{3} \ln \left(e x +d \right)}{e^{6}}+\frac{36 a \,c^{3} d^{2} x}{e^{5}}-\frac{3 b^{4} d^{2}}{\left(e x +d \right) e^{4}}-\frac{3 b^{4} d \ln \left(e x +d \right)}{e^{4}}+\frac{b^{4} x}{e^{3}}+\frac{20 b^{3} c \,d^{3}}{\left(e x +d \right) e^{5}}+\frac{30 b^{3} c \,d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{15 b^{3} c d x}{e^{4}}-\frac{45 b^{2} c^{2} d^{4}}{\left(e x +d \right) e^{6}}-\frac{90 b^{2} c^{2} d^{3} \ln \left(e x +d \right)}{e^{6}}+\frac{54 b^{2} c^{2} d^{2} x}{e^{5}}+\frac{42 b \,c^{3} d^{5}}{\left(e x +d \right) e^{7}}+\frac{105 b \,c^{3} d^{4} \ln \left(e x +d \right)}{e^{7}}-\frac{70 b \,c^{3} d^{3} x}{e^{6}}-\frac{14 c^{4} d^{6}}{\left(e x +d \right) e^{8}}-\frac{42 c^{4} d^{5} \ln \left(e x +d \right)}{e^{8}}+\frac{30 c^{4} d^{4} x}{e^{7}}"," ",0,"6/e^4/(e*x+d)^2*a*b^2*c*d^3+60/e^5/(e*x+d)*a*b*c^2*d^3-9/2/e^3/(e*x+d)^2*d^2*a^2*b*c-15/2/e^5/(e*x+d)^2*a*b*c^2*d^4-45/e^4*a*b*c^2*d*x+18/e^3/(e*x+d)*a^2*b*c*d-36/e^4/(e*x+d)*a*b^2*c*d^2+3/2/e^2/(e*x+d)^2*d*a^2*b^2+3/e^4/(e*x+d)^2*a^2*c^2*d^3-3/2/e^3/(e*x+d)^2*d^2*a*b^3+3/e^6/(e*x+d)^2*a*c^3*d^5-5/2/e^5/(e*x+d)^2*b^3*c*d^4+9/2/e^6/(e*x+d)^2*b^2*c^2*d^5+30/e^5*ln(e*x+d)*b^3*c*d^2-18/e^4/(e*x+d)*a^2*c^2*d^2+6/e^3/(e*x+d)*a*b^3*d-30/e^6/(e*x+d)*a*c^3*d^4+20/e^5/(e*x+d)*b^3*c*d^3-45/e^6/(e*x+d)*b^2*c^2*d^4+42/e^7/(e*x+d)*b*c^3*d^5+1/e^2/(e*x+d)^2*a^3*c*d+7/4/e^3*x^4*b*c^3+2/e^3*x^3*a*c^3-3/2/e^4*x^4*c^4*d-2/e^2/(e*x+d)*a^3*c-3/e^2/(e*x+d)*a^2*b^2-3/e^4/(e*x+d)*b^4*d^2-14/e^8/(e*x+d)*c^4*d^6-1/2/e/(e*x+d)^2*a^3*b+1/2/e^4/(e*x+d)^2*b^4*d^3+1/e^8/(e*x+d)^2*c^4*d^7+3/e^3*ln(e*x+d)*a*b^3-3/e^4*ln(e*x+d)*b^4*d-42/e^8*ln(e*x+d)*c^4*d^5+3/e^3*x^3*b^2*c^2+4/e^5*x^3*c^4*d^2+5/2/e^3*x^2*b^3*c-10/e^6*x^2*c^4*d^3-36/e^4*ln(e*x+d)*a*b^2*c*d+90/e^5*ln(e*x+d)*a*b*c^2*d^2+1/e^3*b^4*x-7/e^4*x^3*b*c^3*d+6/e^3*c^2*a^2*x+30/e^7*c^4*d^4*x-7/2/e^7/(e*x+d)^2*b*c^3*d^6+2/5*c^4*x^5/e^3+15/2/e^3*x^2*a*b*c^2-9/e^4*x^2*a*c^3*d-27/2/e^4*x^2*b^2*c^2*d+21/e^5*x^2*b*c^3*d^2+12/e^3*a*b^2*c*x+36/e^5*a*c^3*d^2*x-15/e^4*b^3*c*d*x+54/e^5*b^2*c^2*d^2*x-70/e^6*b*c^3*d^3*x-90/e^6*ln(e*x+d)*b^2*c^2*d^3+105/e^7*ln(e*x+d)*b*c^3*d^4+9/e^3*ln(e*x+d)*a^2*b*c-18/e^4*ln(e*x+d)*a^2*c^2*d-60/e^6*ln(e*x+d)*a*c^3*d^3","B"
1522,1,1023,386,0.063000," ","int((2*c*x+b)*(c*x^2+b*x+a)^3/(e*x+d)^4,x)","\frac{c^{4} x^{4}}{2 e^{4}}-\frac{a^{3} b}{3 \left(e x +d \right)^{3} e}+\frac{2 a^{3} c d}{3 \left(e x +d \right)^{3} e^{2}}+\frac{a^{2} b^{2} d}{\left(e x +d \right)^{3} e^{2}}-\frac{3 a^{2} b c \,d^{2}}{\left(e x +d \right)^{3} e^{3}}+\frac{2 a^{2} c^{2} d^{3}}{\left(e x +d \right)^{3} e^{4}}-\frac{a \,b^{3} d^{2}}{\left(e x +d \right)^{3} e^{3}}+\frac{4 a \,b^{2} c \,d^{3}}{\left(e x +d \right)^{3} e^{4}}-\frac{5 a b \,c^{2} d^{4}}{\left(e x +d \right)^{3} e^{5}}+\frac{2 a \,c^{3} d^{5}}{\left(e x +d \right)^{3} e^{6}}+\frac{b^{4} d^{3}}{3 \left(e x +d \right)^{3} e^{4}}-\frac{5 b^{3} c \,d^{4}}{3 \left(e x +d \right)^{3} e^{5}}+\frac{3 b^{2} c^{2} d^{5}}{\left(e x +d \right)^{3} e^{6}}-\frac{7 b \,c^{3} d^{6}}{3 \left(e x +d \right)^{3} e^{7}}+\frac{7 b \,c^{3} x^{3}}{3 e^{4}}+\frac{2 c^{4} d^{7}}{3 \left(e x +d \right)^{3} e^{8}}-\frac{8 c^{4} d \,x^{3}}{3 e^{5}}-\frac{a^{3} c}{\left(e x +d \right)^{2} e^{2}}-\frac{3 a^{2} b^{2}}{2 \left(e x +d \right)^{2} e^{2}}+\frac{9 a^{2} b c d}{\left(e x +d \right)^{2} e^{3}}-\frac{9 a^{2} c^{2} d^{2}}{\left(e x +d \right)^{2} e^{4}}+\frac{3 a \,b^{3} d}{\left(e x +d \right)^{2} e^{3}}-\frac{18 a \,b^{2} c \,d^{2}}{\left(e x +d \right)^{2} e^{4}}+\frac{30 a b \,c^{2} d^{3}}{\left(e x +d \right)^{2} e^{5}}-\frac{15 a \,c^{3} d^{4}}{\left(e x +d \right)^{2} e^{6}}+\frac{3 a \,c^{3} x^{2}}{e^{4}}-\frac{3 b^{4} d^{2}}{2 \left(e x +d \right)^{2} e^{4}}+\frac{10 b^{3} c \,d^{3}}{\left(e x +d \right)^{2} e^{5}}-\frac{45 b^{2} c^{2} d^{4}}{2 \left(e x +d \right)^{2} e^{6}}+\frac{9 b^{2} c^{2} x^{2}}{2 e^{4}}+\frac{21 b \,c^{3} d^{5}}{\left(e x +d \right)^{2} e^{7}}-\frac{14 b \,c^{3} d \,x^{2}}{e^{5}}-\frac{7 c^{4} d^{6}}{\left(e x +d \right)^{2} e^{8}}+\frac{10 c^{4} d^{2} x^{2}}{e^{6}}-\frac{9 a^{2} b c}{\left(e x +d \right) e^{3}}+\frac{18 a^{2} c^{2} d}{\left(e x +d \right) e^{4}}+\frac{6 a^{2} c^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{3 a \,b^{3}}{\left(e x +d \right) e^{3}}+\frac{36 a \,b^{2} c d}{\left(e x +d \right) e^{4}}+\frac{12 a \,b^{2} c \ln \left(e x +d \right)}{e^{4}}-\frac{90 a b \,c^{2} d^{2}}{\left(e x +d \right) e^{5}}-\frac{60 a b \,c^{2} d \ln \left(e x +d \right)}{e^{5}}+\frac{15 a b \,c^{2} x}{e^{4}}+\frac{60 a \,c^{3} d^{3}}{\left(e x +d \right) e^{6}}+\frac{60 a \,c^{3} d^{2} \ln \left(e x +d \right)}{e^{6}}-\frac{24 a \,c^{3} d x}{e^{5}}+\frac{3 b^{4} d}{\left(e x +d \right) e^{4}}+\frac{b^{4} \ln \left(e x +d \right)}{e^{4}}-\frac{30 b^{3} c \,d^{2}}{\left(e x +d \right) e^{5}}-\frac{20 b^{3} c d \ln \left(e x +d \right)}{e^{5}}+\frac{5 b^{3} c x}{e^{4}}+\frac{90 b^{2} c^{2} d^{3}}{\left(e x +d \right) e^{6}}+\frac{90 b^{2} c^{2} d^{2} \ln \left(e x +d \right)}{e^{6}}-\frac{36 b^{2} c^{2} d x}{e^{5}}-\frac{105 b \,c^{3} d^{4}}{\left(e x +d \right) e^{7}}-\frac{140 b \,c^{3} d^{3} \ln \left(e x +d \right)}{e^{7}}+\frac{70 b \,c^{3} d^{2} x}{e^{6}}+\frac{42 c^{4} d^{5}}{\left(e x +d \right) e^{8}}+\frac{70 c^{4} d^{4} \ln \left(e x +d \right)}{e^{8}}-\frac{40 c^{4} d^{3} x}{e^{7}}"," ",0,"-5/e^5/(e*x+d)^3*a*b*c^2*d^4+9/e^3/(e*x+d)^2*a^2*b*c*d-18/e^4/(e*x+d)^2*a*b^2*c*d^2+30/e^5/(e*x+d)^2*a*b*c^2*d^3-60/e^5*ln(e*x+d)*a*b*c^2*d+4/e^4/(e*x+d)^3*d^3*a*b^2*c+1/2*c^4*x^4/e^4-3/e^3/(e*x+d)*a*b^3+3/e^4/(e*x+d)*b^4*d+42/e^8/(e*x+d)*c^4*d^5-1/3/e/(e*x+d)^3*a^3*b+1/3/e^4/(e*x+d)^3*d^3*b^4+2/3/e^8/(e*x+d)^3*c^4*d^7-1/e^2/(e*x+d)^2*a^3*c+36/e^4/(e*x+d)*a*b^2*c*d+15*c^2/e^4*a*b*x-14*c^3/e^5*x^2*b*d+70*c^3/e^6*b*d^2*x-9/e^3/(e*x+d)*a^2*b*c+18/e^4/(e*x+d)*a^2*c^2*d+60/e^6/(e*x+d)*a*c^3*d^3-30/e^5/(e*x+d)*b^3*c*d^2+90/e^6/(e*x+d)*b^2*c^2*d^3+12/e^4*ln(e*x+d)*a*b^2*c+60/e^6*ln(e*x+d)*a*c^3*d^2-20/e^5*ln(e*x+d)*b^3*c*d+90/e^6*ln(e*x+d)*b^2*c^2*d^2-140/e^7*ln(e*x+d)*b*c^3*d^3-105/e^7/(e*x+d)*b*c^3*d^4+2/3/e^2/(e*x+d)^3*a^3*c*d+1/e^2/(e*x+d)^3*d*a^2*b^2+2/e^4/(e*x+d)^3*a^2*c^2*d^3-1/e^3/(e*x+d)^3*d^2*a*b^3-90/e^5/(e*x+d)*a*b*c^2*d^2+1/e^4*ln(e*x+d)*b^4-3/e^3/(e*x+d)^3*d^2*a^2*b*c-3/2/e^2/(e*x+d)^2*a^2*b^2-3/2/e^4/(e*x+d)^2*b^4*d^2-7/e^8/(e*x+d)^2*c^4*d^6+6/e^4*ln(e*x+d)*c^2*a^2+70/e^8*ln(e*x+d)*c^4*d^4-8/3*c^4/e^5*x^3*d+3*c^3/e^4*x^2*a+9/2*c^2/e^4*x^2*b^2+10*c^4/e^6*x^2*d^2+5*c/e^4*b^3*x-40*c^4/e^7*d^3*x+7/3*c^3/e^4*x^3*b-24*c^3/e^5*a*d*x-36*c^2/e^5*b^2*d*x-15/e^6/(e*x+d)^2*a*c^3*d^4+10/e^5/(e*x+d)^2*b^3*c*d^3-45/2/e^6/(e*x+d)^2*b^2*c^2*d^4+21/e^7/(e*x+d)^2*b*c^3*d^5+2/e^6/(e*x+d)^3*a*c^3*d^5-5/3/e^5/(e*x+d)^3*b^3*c*d^4+3/e^6/(e*x+d)^3*b^2*c^2*d^5-7/3/e^7/(e*x+d)^3*b*c^3*d^6-9/e^4/(e*x+d)^2*a^2*c^2*d^2+3/e^3/(e*x+d)^2*a*b^3*d","B"
1523,1,1056,379,0.061000," ","int((2*c*x+b)*(c*x^2+b*x+a)^3/(e*x+d)^5,x)","-\frac{a^{3} b}{4 \left(e x +d \right)^{4} e}+\frac{a^{3} c d}{2 \left(e x +d \right)^{4} e^{2}}+\frac{3 a^{2} b^{2} d}{4 \left(e x +d \right)^{4} e^{2}}-\frac{9 a^{2} b c \,d^{2}}{4 \left(e x +d \right)^{4} e^{3}}+\frac{3 a^{2} c^{2} d^{3}}{2 \left(e x +d \right)^{4} e^{4}}-\frac{3 a \,b^{3} d^{2}}{4 \left(e x +d \right)^{4} e^{3}}+\frac{3 a \,b^{2} c \,d^{3}}{\left(e x +d \right)^{4} e^{4}}-\frac{15 a b \,c^{2} d^{4}}{4 \left(e x +d \right)^{4} e^{5}}+\frac{3 a \,c^{3} d^{5}}{2 \left(e x +d \right)^{4} e^{6}}+\frac{b^{4} d^{3}}{4 \left(e x +d \right)^{4} e^{4}}-\frac{5 b^{3} c \,d^{4}}{4 \left(e x +d \right)^{4} e^{5}}+\frac{9 b^{2} c^{2} d^{5}}{4 \left(e x +d \right)^{4} e^{6}}-\frac{7 b \,c^{3} d^{6}}{4 \left(e x +d \right)^{4} e^{7}}+\frac{c^{4} d^{7}}{2 \left(e x +d \right)^{4} e^{8}}-\frac{2 a^{3} c}{3 \left(e x +d \right)^{3} e^{2}}-\frac{a^{2} b^{2}}{\left(e x +d \right)^{3} e^{2}}+\frac{6 a^{2} b c d}{\left(e x +d \right)^{3} e^{3}}-\frac{6 a^{2} c^{2} d^{2}}{\left(e x +d \right)^{3} e^{4}}+\frac{2 a \,b^{3} d}{\left(e x +d \right)^{3} e^{3}}-\frac{12 a \,b^{2} c \,d^{2}}{\left(e x +d \right)^{3} e^{4}}+\frac{20 a b \,c^{2} d^{3}}{\left(e x +d \right)^{3} e^{5}}-\frac{10 a \,c^{3} d^{4}}{\left(e x +d \right)^{3} e^{6}}-\frac{b^{4} d^{2}}{\left(e x +d \right)^{3} e^{4}}+\frac{20 b^{3} c \,d^{3}}{3 \left(e x +d \right)^{3} e^{5}}-\frac{15 b^{2} c^{2} d^{4}}{\left(e x +d \right)^{3} e^{6}}+\frac{14 b \,c^{3} d^{5}}{\left(e x +d \right)^{3} e^{7}}-\frac{14 c^{4} d^{6}}{3 \left(e x +d \right)^{3} e^{8}}+\frac{2 c^{4} x^{3}}{3 e^{5}}-\frac{9 a^{2} b c}{2 \left(e x +d \right)^{2} e^{3}}+\frac{9 a^{2} c^{2} d}{\left(e x +d \right)^{2} e^{4}}-\frac{3 a \,b^{3}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{18 a \,b^{2} c d}{\left(e x +d \right)^{2} e^{4}}-\frac{45 a b \,c^{2} d^{2}}{\left(e x +d \right)^{2} e^{5}}+\frac{30 a \,c^{3} d^{3}}{\left(e x +d \right)^{2} e^{6}}+\frac{3 b^{4} d}{2 \left(e x +d \right)^{2} e^{4}}-\frac{15 b^{3} c \,d^{2}}{\left(e x +d \right)^{2} e^{5}}+\frac{45 b^{2} c^{2} d^{3}}{\left(e x +d \right)^{2} e^{6}}-\frac{105 b \,c^{3} d^{4}}{2 \left(e x +d \right)^{2} e^{7}}+\frac{7 b \,c^{3} x^{2}}{2 e^{5}}+\frac{21 c^{4} d^{5}}{\left(e x +d \right)^{2} e^{8}}-\frac{5 c^{4} d \,x^{2}}{e^{6}}-\frac{6 a^{2} c^{2}}{\left(e x +d \right) e^{4}}-\frac{12 a \,b^{2} c}{\left(e x +d \right) e^{4}}+\frac{60 a b \,c^{2} d}{\left(e x +d \right) e^{5}}+\frac{15 a b \,c^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{60 a \,c^{3} d^{2}}{\left(e x +d \right) e^{6}}-\frac{30 a \,c^{3} d \ln \left(e x +d \right)}{e^{6}}+\frac{6 a \,c^{3} x}{e^{5}}-\frac{b^{4}}{\left(e x +d \right) e^{4}}+\frac{20 b^{3} c d}{\left(e x +d \right) e^{5}}+\frac{5 b^{3} c \ln \left(e x +d \right)}{e^{5}}-\frac{90 b^{2} c^{2} d^{2}}{\left(e x +d \right) e^{6}}-\frac{45 b^{2} c^{2} d \ln \left(e x +d \right)}{e^{6}}+\frac{9 b^{2} c^{2} x}{e^{5}}+\frac{140 b \,c^{3} d^{3}}{\left(e x +d \right) e^{7}}+\frac{105 b \,c^{3} d^{2} \ln \left(e x +d \right)}{e^{7}}-\frac{35 b \,c^{3} d x}{e^{6}}-\frac{70 c^{4} d^{4}}{\left(e x +d \right) e^{8}}-\frac{70 c^{4} d^{3} \ln \left(e x +d \right)}{e^{8}}+\frac{30 c^{4} d^{2} x}{e^{7}}"," ",0,"3/e^4/(e*x+d)^4*d^3*a*b^2*c+18/e^4/(e*x+d)^2*a*b^2*c*d-45/e^5/(e*x+d)^2*a*b*c^2*d^2+20/e^5/(e*x+d)^3*a*b*c^2*d^3+6/e^3/(e*x+d)^3*a^2*b*c*d-12/e^4/(e*x+d)^3*a*b^2*c*d^2+60/e^5/(e*x+d)*a*b*c^2*d-9/4/e^3/(e*x+d)^4*d^2*a^2*b*c+2/3*c^4*x^3/e^5-15/4/e^5/(e*x+d)^4*d^4*a*b*c^2-35*c^3/e^6*x*b*d-12/e^4/(e*x+d)*a*b^2*c+3/2/e^4/(e*x+d)^2*b^4*d+21/e^8/(e*x+d)^2*c^4*d^5-1/4/e/(e*x+d)^4*a^3*b+1/4/e^4/(e*x+d)^4*d^3*b^4+1/2/e^8/(e*x+d)^4*c^4*d^7+5*c/e^5*ln(e*x+d)*b^3-70*c^4/e^8*ln(e*x+d)*d^3-1/e^4/(e*x+d)*b^4+30*c^4/e^7*x*d^2-6/e^4/(e*x+d)*c^2*a^2-70/e^8/(e*x+d)*c^4*d^4-2/3/e^2/(e*x+d)^3*a^3*c-1/e^2/(e*x+d)^3*a^2*b^2-1/e^4/(e*x+d)^3*b^4*d^2-14/3/e^8/(e*x+d)^3*c^4*d^6+7/2*c^3/e^5*x^2*b-5*c^4/e^6*x^2*d+6*c^3/e^5*x*a+9*c^2/e^5*x*b^2-3/2/e^3/(e*x+d)^2*a*b^3+140/e^7/(e*x+d)*b*c^3*d^3+15*c^2/e^5*ln(e*x+d)*a*b-30*c^3/e^6*ln(e*x+d)*a*d-45*c^2/e^6*ln(e*x+d)*b^2*d+105*c^3/e^7*ln(e*x+d)*b*d^2+14/e^7/(e*x+d)^3*b*c^3*d^5-9/2/e^3/(e*x+d)^2*a^2*b*c-60/e^6/(e*x+d)*a*c^3*d^2+20/e^5/(e*x+d)*b^3*c*d-90/e^6/(e*x+d)*b^2*c^2*d^2+9/e^4/(e*x+d)^2*a^2*c^2*d+30/e^6/(e*x+d)^2*a*c^3*d^3-15/e^5/(e*x+d)^2*b^3*c*d^2+45/e^6/(e*x+d)^2*b^2*c^2*d^3-105/2/e^7/(e*x+d)^2*b*c^3*d^4+1/2/e^2/(e*x+d)^4*a^3*c*d+3/4/e^2/(e*x+d)^4*d*a^2*b^2+3/2/e^4/(e*x+d)^4*a^2*c^2*d^3-3/4/e^3/(e*x+d)^4*d^2*a*b^3+3/2/e^6/(e*x+d)^4*a*c^3*d^5-5/4/e^5/(e*x+d)^4*d^4*b^3*c+9/4/e^6/(e*x+d)^4*b^2*c^2*d^5-7/4/e^7/(e*x+d)^4*b*c^3*d^6+20/3/e^5/(e*x+d)^3*b^3*c*d^3-15/e^6/(e*x+d)^3*b^2*c^2*d^4-6/e^4/(e*x+d)^3*a^2*c^2*d^2+2/e^3/(e*x+d)^3*a*b^3*d-10/e^6/(e*x+d)^3*a*c^3*d^4","B"
1524,1,781,287,0.049000," ","int((2*c*x+b)*(e*x+d)^4/(c*x^2+b*x+a),x)","\frac{e^{4} x^{4}}{2}-\frac{b \,e^{4} x^{3}}{3 c}+\frac{8 d \,e^{3} x^{3}}{3}-\frac{8 a^{2} b \,e^{4} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{16 a^{2} d \,e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}+\frac{6 a \,b^{3} e^{4} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}-\frac{20 a \,b^{2} d \,e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{24 a b \,d^{2} e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{a \,e^{4} x^{2}}{c}-\frac{16 a \,d^{3} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}}-\frac{b^{5} e^{4} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{4}}+\frac{4 b^{4} d \,e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}-\frac{6 b^{3} d^{2} e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{4 b^{2} d^{3} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}+\frac{b^{2} e^{4} x^{2}}{2 c^{2}}-\frac{2 b d \,e^{3} x^{2}}{c}+6 d^{2} e^{2} x^{2}+\frac{a^{2} e^{4} \ln \left(c \,x^{2}+b x +a \right)}{c^{2}}-\frac{2 a \,b^{2} e^{4} \ln \left(c \,x^{2}+b x +a \right)}{c^{3}}+\frac{6 a b d \,e^{3} \ln \left(c \,x^{2}+b x +a \right)}{c^{2}}+\frac{3 a b \,e^{4} x}{c^{2}}-\frac{6 a \,d^{2} e^{2} \ln \left(c \,x^{2}+b x +a \right)}{c}-\frac{8 a d \,e^{3} x}{c}+\frac{b^{4} e^{4} \ln \left(c \,x^{2}+b x +a \right)}{2 c^{4}}-\frac{2 b^{3} d \,e^{3} \ln \left(c \,x^{2}+b x +a \right)}{c^{3}}-\frac{b^{3} e^{4} x}{c^{3}}+\frac{3 b^{2} d^{2} e^{2} \ln \left(c \,x^{2}+b x +a \right)}{c^{2}}+\frac{4 b^{2} d \,e^{3} x}{c^{2}}-\frac{2 b \,d^{3} e \ln \left(c \,x^{2}+b x +a \right)}{c}-\frac{6 b \,d^{2} e^{2} x}{c}+d^{4} \ln \left(c \,x^{2}+b x +a \right)+8 d^{3} e x"," ",0,"3*e^4/c^2*a*b*x-e^4/c^3*b^3*x-1/3*e^4/c*x^3*b-e^4/c*x^2*a+1/2*e^4/c^2*x^2*b^2+1/c^2*ln(c*x^2+b*x+a)*a^2*e^4+1/2/c^4*ln(c*x^2+b*x+a)*b^4*e^4+4/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^4*d*e^3-6/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*d^2*e^2-8/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*b*e^4+16/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*d*e^3+6/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^3*e^4+4/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*d^3*e+6/c^2*ln(c*x^2+b*x+a)*a*b*d*e^3-20/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^2*d*e^3+24/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*d^2*e^2-2*e^3/c*x^2*b*d+8*e*d^3*x+8/3*e^3*x^3*d+6*e^2*x^2*d^2+ln(c*x^2+b*x+a)*d^4+3/c^2*ln(c*x^2+b*x+a)*b^2*d^2*e^2-2/c*ln(c*x^2+b*x+a)*b*d^3*e-16/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*d^3*e-8*e^3/c*a*d*x+4*e^3/c^2*b^2*d*x-6/c*ln(c*x^2+b*x+a)*a*d^2*e^2-2/c^3*ln(c*x^2+b*x+a)*b^3*d*e^3-6*e^2/c*b*d^2*x-1/c^4/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^5*e^4-2/c^3*ln(c*x^2+b*x+a)*a*b^2*e^4+1/2*e^4*x^4","B"
1525,1,492,178,0.050000," ","int((2*c*x+b)*(e*x+d)^3/(c*x^2+b*x+a),x)","\frac{2 e^{3} x^{3}}{3}+\frac{4 a^{2} e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{5 a \,b^{2} e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{12 a b d \,e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{12 a \,d^{2} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}}+\frac{b^{4} e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}-\frac{3 b^{3} d \,e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{3 b^{2} d^{2} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{b \,e^{3} x^{2}}{2 c}+3 d \,e^{2} x^{2}+\frac{3 a b \,e^{3} \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}-\frac{3 a d \,e^{2} \ln \left(c \,x^{2}+b x +a \right)}{c}-\frac{2 a \,e^{3} x}{c}-\frac{b^{3} e^{3} \ln \left(c \,x^{2}+b x +a \right)}{2 c^{3}}+\frac{3 b^{2} d \,e^{2} \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}+\frac{b^{2} e^{3} x}{c^{2}}-\frac{3 b \,d^{2} e \ln \left(c \,x^{2}+b x +a \right)}{2 c}-\frac{3 b d \,e^{2} x}{c}+d^{3} \ln \left(c \,x^{2}+b x +a \right)+6 d^{2} e x"," ",0,"2/3*e^3*x^3-1/2/c*e^3*x^2*b+3*e^2*x^2*d-2/c*e^3*x*a+1/c^2*e^3*x*b^2-3/c*e^2*x*b*d+6*e*x*d^2+3/2/c^2*ln(c*x^2+b*x+a)*a*b*e^3-3/c*ln(c*x^2+b*x+a)*a*d*e^2-1/2/c^3*ln(c*x^2+b*x+a)*b^3*e^3+3/2/c^2*ln(c*x^2+b*x+a)*b^2*d*e^2-3/2/c*ln(c*x^2+b*x+a)*b*d^2*e+ln(c*x^2+b*x+a)*d^3+4/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*e^3-5/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^2*e^3+12/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*d*e^2-12/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*d^2*e+1/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^4*e^3-3/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*d*e^2+3/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*d^2*e","B"
1526,1,264,108,0.047000," ","int((2*c*x+b)*(e*x+d)^2/(c*x^2+b*x+a),x)","\frac{4 a b \,e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{8 a d e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}}-\frac{b^{3} e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{2 b^{2} d e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}+e^{2} x^{2}-\frac{a \,e^{2} \ln \left(c \,x^{2}+b x +a \right)}{c}+\frac{b^{2} e^{2} \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}-\frac{b d e \ln \left(c \,x^{2}+b x +a \right)}{c}-\frac{b \,e^{2} x}{c}+d^{2} \ln \left(c \,x^{2}+b x +a \right)+4 d e x"," ",0,"e^2*x^2-1/c*e^2*b*x+4*d*x*e-1/c*ln(c*x^2+b*x+a)*a*e^2+1/2/c^2*ln(c*x^2+b*x+a)*b^2*e^2-1/c*ln(c*x^2+b*x+a)*b*d*e+ln(c*x^2+b*x+a)*d^2+4/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*e^2-8/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*d*e-1/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*e^2+2/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*d*e","B"
1527,1,113,64,0.056000," ","int((2*c*x+b)*(e*x+d)/(c*x^2+b*x+a),x)","-\frac{4 a e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}}+\frac{b^{2} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{b e \ln \left(c \,x^{2}+b x +a \right)}{2 c}+d \ln \left(c \,x^{2}+b x +a \right)+2 e x"," ",0,"2*e*x-1/2/c*ln(c*x^2+b*x+a)*b*e+d*ln(c*x^2+b*x+a)-4/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*e+1/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2/c*e","A"
1528,1,12,11,0.049000," ","int((2*c*x+b)/(c*x^2+b*x+a),x)","\ln \left(c \,x^{2}+b x +a \right)"," ",0,"ln(c*x^2+b*x+a)","A"
1529,1,233,124,0.067000," ","int((2*c*x+b)/(e*x+d)/(c*x^2+b*x+a),x)","\frac{4 a c e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{4 a c -b^{2}}}-\frac{b^{2} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{4 a c -b^{2}}}+\frac{b e \ln \left(e x +d \right)}{a \,e^{2}-b d e +c \,d^{2}}-\frac{b e \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)}-\frac{2 c d \ln \left(e x +d \right)}{a \,e^{2}-b d e +c \,d^{2}}+\frac{c d \ln \left(c \,x^{2}+b x +a \right)}{a \,e^{2}-b d e +c \,d^{2}}"," ",0,"1/(a*e^2-b*d*e+c*d^2)*ln(e*x+d)*b*e-2/(a*e^2-b*d*e+c*d^2)*ln(e*x+d)*c*d-1/2/(a*e^2-b*d*e+c*d^2)*ln(c*x^2+b*x+a)*b*e+1/(a*e^2-b*d*e+c*d^2)*c*ln(c*x^2+b*x+a)*d+4/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*c*e-1/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*e*b^2","A"
1530,1,560,204,0.053000," ","int((2*c*x+b)/(e*x+d)^2/(c*x^2+b*x+a),x)","-\frac{4 a b c \,e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}+\frac{8 a \,c^{2} d e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}+\frac{b^{3} e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}-\frac{2 b^{2} c d e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}+\frac{2 a c \,e^{2} \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}-\frac{a c \,e^{2} \ln \left(c \,x^{2}+b x +a \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}-\frac{b^{2} e^{2} \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}+\frac{b^{2} e^{2} \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}+\frac{2 b c d e \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}-\frac{b c d e \ln \left(c \,x^{2}+b x +a \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}-\frac{2 c^{2} d^{2} \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}+\frac{c^{2} d^{2} \ln \left(c \,x^{2}+b x +a \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}-\frac{b e}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(e x +d \right)}+\frac{2 c d}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(e x +d \right)}"," ",0,"2/(a*e^2-b*d*e+c*d^2)^2*ln(e*x+d)*a*c*e^2-1/(a*e^2-b*d*e+c*d^2)^2*ln(e*x+d)*b^2*e^2+2/(a*e^2-b*d*e+c*d^2)^2*ln(e*x+d)*b*c*d*e-2/(a*e^2-b*d*e+c*d^2)^2*ln(e*x+d)*c^2*d^2-1/(a*e^2-b*d*e+c*d^2)/(e*x+d)*b*e+2/(a*e^2-b*d*e+c*d^2)/(e*x+d)*c*d-1/(a*e^2-b*d*e+c*d^2)^2*c*ln(c*x^2+b*x+a)*a*e^2+1/2/(a*e^2-b*d*e+c*d^2)^2*ln(c*x^2+b*x+a)*b^2*e^2-1/(a*e^2-b*d*e+c*d^2)^2*c*ln(c*x^2+b*x+a)*b*d*e+1/(a*e^2-b*d*e+c*d^2)^2*c^2*ln(c*x^2+b*x+a)*d^2-4/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*c*e^2+8/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*c^2*d*e+1/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*e^2-2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*c*d*e","B"
1531,1,1033,295,0.063000," ","int((2*c*x+b)/(e*x+d)^3/(c*x^2+b*x+a),x)","-\frac{4 a^{2} c^{2} e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}+\frac{5 a \,b^{2} c \,e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}-\frac{12 a b \,c^{2} d \,e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}+\frac{12 a \,c^{3} d^{2} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}-\frac{b^{4} e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}+\frac{3 b^{3} c d \,e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}-\frac{3 b^{2} c^{2} d^{2} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}-\frac{3 a b c \,e^{3} \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{3 a b c \,e^{3} \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{6 a \,c^{2} d \,e^{2} \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{3 a \,c^{2} d \,e^{2} \ln \left(c \,x^{2}+b x +a \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{b^{3} e^{3} \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{b^{3} e^{3} \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{3 b^{2} c d \,e^{2} \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{3 b^{2} c d \,e^{2} \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{3 b \,c^{2} d^{2} e \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{3 b \,c^{2} d^{2} e \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{2 c^{3} d^{3} \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{c^{3} d^{3} \ln \left(c \,x^{2}+b x +a \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{2 a c \,e^{2}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(e x +d \right)}+\frac{b^{2} e^{2}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(e x +d \right)}-\frac{2 b c d e}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(e x +d \right)}+\frac{2 c^{2} d^{2}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(e x +d \right)}-\frac{b e}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(e x +d \right)^{2}}+\frac{c d}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(e x +d \right)^{2}}"," ",0,"-12/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*c^2*d*e^2+6/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*c^2*a*d*e^2-3/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*a*b*c*e^3-3/2/(a*e^2-b*d*e+c*d^2)^3*c^2*ln(c*x^2+b*x+a)*b*d^2*e-4/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*c^2*e^3-3/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*b^2*c*d*e^2+3/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*b*c^2*d^2*e-3/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*c^2*d^2*e+5/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^2*c*e^3+12/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*c^3*d^2*e+3/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*c*d*e^2-2/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)*b*c*d*e+3/2/(a*e^2-b*d*e+c*d^2)^3*c*ln(c*x^2+b*x+a)*a*b*e^3-3/(a*e^2-b*d*e+c*d^2)^3*c^2*ln(c*x^2+b*x+a)*a*d*e^2+3/2/(a*e^2-b*d*e+c*d^2)^3*c*ln(c*x^2+b*x+a)*b^2*d*e^2+1/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*b^3*e^3-2/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*c^3*d^3+1/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)*b^2*e^2+2/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)*c^2*d^2-1/2/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2*b*e+1/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2*c*d-1/2/(a*e^2-b*d*e+c*d^2)^3*ln(c*x^2+b*x+a)*b^3*e^3+1/(a*e^2-b*d*e+c*d^2)^3*c^3*ln(c*x^2+b*x+a)*d^3-2/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)*a*c*e^2-1/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^4*e^3","B"
1532,1,618,168,0.057000," ","int((2*c*x+b)*(e*x+d)^4/(c*x^2+b*x+a)^2,x)","-\frac{2 a b \,e^{4} x}{\left(c \,x^{2}+b x +a \right) c^{2}}+\frac{12 a b \,e^{4} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{4 a d \,e^{3} x}{\left(c \,x^{2}+b x +a \right) c}-\frac{24 a d \,e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}+\frac{b^{3} e^{4} x}{\left(c \,x^{2}+b x +a \right) c^{3}}-\frac{4 b^{3} e^{4} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}-\frac{4 b^{2} d \,e^{3} x}{\left(c \,x^{2}+b x +a \right) c^{2}}+\frac{12 b^{2} d \,e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{6 b \,d^{2} e^{2} x}{\left(c \,x^{2}+b x +a \right) c}-\frac{12 b \,d^{2} e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}+\frac{e^{4} x^{2}}{c}-\frac{4 d^{3} e x}{c \,x^{2}+b x +a}+\frac{8 d^{3} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}}-\frac{a^{2} e^{4}}{\left(c \,x^{2}+b x +a \right) c^{2}}+\frac{a \,b^{2} e^{4}}{\left(c \,x^{2}+b x +a \right) c^{3}}-\frac{4 a b d \,e^{3}}{\left(c \,x^{2}+b x +a \right) c^{2}}+\frac{6 a \,d^{2} e^{2}}{\left(c \,x^{2}+b x +a \right) c}-\frac{2 a \,e^{4} \ln \left(c \,x^{2}+b x +a \right)}{c^{2}}+\frac{2 b^{2} e^{4} \ln \left(c \,x^{2}+b x +a \right)}{c^{3}}-\frac{6 b d \,e^{3} \ln \left(c \,x^{2}+b x +a \right)}{c^{2}}-\frac{3 b \,e^{4} x}{c^{2}}+\frac{6 d^{2} e^{2} \ln \left(c \,x^{2}+b x +a \right)}{c}+\frac{8 d \,e^{3} x}{c}-\frac{d^{4}}{c \,x^{2}+b x +a}"," ",0,"e^4*x^2/c-3*e^4/c^2*b*x+8*e^3/c*x*d-2/c^2/(c*x^2+b*x+a)*e^4*x*a*b+4/c/(c*x^2+b*x+a)*e^3*x*a*d+1/c^3/(c*x^2+b*x+a)*e^4*x*b^3-4/c^2/(c*x^2+b*x+a)*e^3*x*b^2*d+6/c/(c*x^2+b*x+a)*e^2*x*b*d^2-4/(c*x^2+b*x+a)*e*x*d^3-1/c^2/(c*x^2+b*x+a)*a^2*e^4+1/c^3/(c*x^2+b*x+a)*a*b^2*e^4-4/c^2/(c*x^2+b*x+a)*a*b*d*e^3+6/c/(c*x^2+b*x+a)*a*d^2*e^2-1/(c*x^2+b*x+a)*d^4-2/c^2*ln(c*x^2+b*x+a)*a*e^4+2/c^3*ln(c*x^2+b*x+a)*b^2*e^4-6/c^2*ln(c*x^2+b*x+a)*b*d*e^3+6/c*ln(c*x^2+b*x+a)*d^2*e^2+12/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*e^4-24/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*d*e^3+8*e/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*d^3-4/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*e^4+12/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*d*e^3-12/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*d^2*e^2","B"
1533,1,363,120,0.056000," ","int((2*c*x+b)*(e*x+d)^3/(c*x^2+b*x+a)^2,x)","\frac{a \,e^{3} x}{\left(c \,x^{2}+b x +a \right) c}-\frac{6 a \,e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{b^{2} e^{3} x}{\left(c \,x^{2}+b x +a \right) c^{2}}+\frac{3 b^{2} e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{3 b d \,e^{2} x}{\left(c \,x^{2}+b x +a \right) c}-\frac{6 b d \,e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{3 d^{2} e x}{c \,x^{2}+b x +a}+\frac{6 d^{2} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}}-\frac{a b \,e^{3}}{\left(c \,x^{2}+b x +a \right) c^{2}}+\frac{3 a d \,e^{2}}{\left(c \,x^{2}+b x +a \right) c}-\frac{3 b \,e^{3} \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}+\frac{3 d \,e^{2} \ln \left(c \,x^{2}+b x +a \right)}{c}+\frac{2 e^{3} x}{c}-\frac{d^{3}}{c \,x^{2}+b x +a}"," ",0,"2*e^3*x/c+1/c/(c*x^2+b*x+a)*e^3*x*a-1/c^2/(c*x^2+b*x+a)*e^3*x*b^2+3/c/(c*x^2+b*x+a)*e^2*x*b*d-3/(c*x^2+b*x+a)*e*x*d^2-1/c^2/(c*x^2+b*x+a)*a*b*e^3+3/c/(c*x^2+b*x+a)*a*d*e^2-1/(c*x^2+b*x+a)*d^3-3/2/c^2*ln(c*x^2+b*x+a)*b*e^3+3/c*ln(c*x^2+b*x+a)*d*e^2-6/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*e^3+6*e/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*d^2+3/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*e^3-6/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*d*e^2","B"
1534,1,141,83,0.051000," ","int((2*c*x+b)*(e*x+d)^2/(c*x^2+b*x+a)^2,x)","-\frac{2 b \,e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}+\frac{4 d e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}}+\frac{e^{2} \ln \left(c \,x^{2}+b x +a \right)}{c}+\frac{\frac{\left(b e -2 c d \right) e x}{c}+\frac{a \,e^{2}-c \,d^{2}}{c}}{c \,x^{2}+b x +a}"," ",0,"(e*(b*e-2*c*d)/c*x+(a*e^2-c*d^2)/c)/(c*x^2+b*x+a)+e^2*ln(c*x^2+b*x+a)/c+4*e/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*d-2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b/c*e^2","A"
1535,1,58,53,0.051000," ","int((2*c*x+b)*(e*x+d)/(c*x^2+b*x+a)^2,x)","\frac{2 e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}}+\frac{-e x -d}{c \,x^{2}+b x +a}"," ",0,"(-e*x-d)/(c*x^2+b*x+a)+2*e/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))","A"
1536,1,15,14,0.044000," ","int((2*c*x+b)/(c*x^2+b*x+a)^2,x)","-\frac{1}{c \,x^{2}+b x +a}"," ",0,"-1/(c*x^2+b*x+a)","A"
1537,1,668,229,0.099000," ","int((2*c*x+b)/(e*x+d)/(c*x^2+b*x+a)^2,x)","\frac{a c \,e^{3} x}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(c \,x^{2}+b x +a \right)}+\frac{2 a c \,e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}-\frac{b^{2} e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}-\frac{b c d \,e^{2} x}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(c \,x^{2}+b x +a \right)}+\frac{2 b c d \,e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}+\frac{c^{2} d^{2} e x}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(c \,x^{2}+b x +a \right)}-\frac{2 c^{2} d^{2} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}+\frac{a b \,e^{3}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(c \,x^{2}+b x +a \right)}-\frac{a c d \,e^{2}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(c \,x^{2}+b x +a \right)}-\frac{b^{2} d \,e^{2}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(c \,x^{2}+b x +a \right)}+\frac{2 b c \,d^{2} e}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(c \,x^{2}+b x +a \right)}+\frac{b \,e^{3} \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}-\frac{b \,e^{3} \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}-\frac{c^{2} d^{3}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(c \,x^{2}+b x +a \right)}-\frac{2 c d \,e^{2} \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}+\frac{c d \,e^{2} \ln \left(c \,x^{2}+b x +a \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}"," ",0,"e^3/(a*e^2-b*d*e+c*d^2)^2*ln(e*x+d)*b-2*e^2/(a*e^2-b*d*e+c*d^2)^2*ln(e*x+d)*c*d+1/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)*x*a*c*e^3-1/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)*x*b*c*d*e^2+1/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)*x*c^2*d^2*e+1/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)*a*b*e^3-1/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)*a*c*d*e^2-1/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)*b^2*d*e^2+2/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)*b*c*d^2*e-1/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)*c^2*d^3-1/2/(a*e^2-b*d*e+c*d^2)^2*ln(c*x^2+b*x+a)*b*e^3+1/(a*e^2-b*d*e+c*d^2)^2*c*ln(c*x^2+b*x+a)*d*e^2+2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*c*e^3-1/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*e^3+2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*c*d*e^2-2/(a*e^2-b*d*e+c*d^2)^2*e/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*c^2*d^2","B"
1538,1,1177,322,0.082000," ","int((2*c*x+b)/(e*x+d)^2/(c*x^2+b*x+a)^2,x)","-\frac{a b c \,e^{4} x}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \left(c \,x^{2}+b x +a \right)}-\frac{6 a b c \,e^{4} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}+\frac{2 a \,c^{2} d \,e^{3} x}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \left(c \,x^{2}+b x +a \right)}+\frac{12 a \,c^{2} d \,e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}+\frac{2 b^{3} e^{4} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}+\frac{b^{2} c d \,e^{3} x}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \left(c \,x^{2}+b x +a \right)}-\frac{6 b^{2} c d \,e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}-\frac{3 b \,c^{2} d^{2} e^{2} x}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \left(c \,x^{2}+b x +a \right)}+\frac{6 b \,c^{2} d^{2} e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}+\frac{2 c^{3} d^{3} e x}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \left(c \,x^{2}+b x +a \right)}-\frac{4 c^{3} d^{3} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}+\frac{a^{2} c \,e^{4}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \left(c \,x^{2}+b x +a \right)}-\frac{a \,b^{2} e^{4}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \left(c \,x^{2}+b x +a \right)}+\frac{a b c d \,e^{3}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \left(c \,x^{2}+b x +a \right)}+\frac{2 a c \,e^{4} \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{a c \,e^{4} \ln \left(c \,x^{2}+b x +a \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{b^{3} d \,e^{3}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \left(c \,x^{2}+b x +a \right)}-\frac{3 b^{2} c \,d^{2} e^{2}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \left(c \,x^{2}+b x +a \right)}-\frac{2 b^{2} e^{4} \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{b^{2} e^{4} \ln \left(c \,x^{2}+b x +a \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{3 b \,c^{2} d^{3} e}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \left(c \,x^{2}+b x +a \right)}+\frac{6 b c d \,e^{3} \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{3 b c d \,e^{3} \ln \left(c \,x^{2}+b x +a \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{c^{3} d^{4}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \left(c \,x^{2}+b x +a \right)}-\frac{6 c^{2} d^{2} e^{2} \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{3 c^{2} d^{2} e^{2} \ln \left(c \,x^{2}+b x +a \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{b \,e^{3}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(e x +d \right)}+\frac{2 c d \,e^{2}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(e x +d \right)}"," ",0,"-6/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*c*e^4+12/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*c^2*a*d*e^3-6/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*c*d*e^3+6/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*c^2*d^2*e^2+1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*x*b^2*c*d*e^3-3/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*x*b*c^2*d^2*e^2+1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*a*b*c*d*e^3-1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*x*a*b*c*e^4+2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*x*a*c^2*d*e^3-1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*c^3*d^4+1/(a*e^2-b*d*e+c*d^2)^3*ln(c*x^2+b*x+a)*b^2*e^4-e^3/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)*b-2*e^4/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*b^2+6*e^3/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*b*c*d+2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*x*c^3*d^3*e-3/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*b^2*c*d^2*e^2+3/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*b*c^2*d^3*e-3/(a*e^2-b*d*e+c*d^2)^3*c*ln(c*x^2+b*x+a)*b*d*e^3-4/(a*e^2-b*d*e+c*d^2)^3*e/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*c^3*d^3-1/(a*e^2-b*d*e+c*d^2)^3*c*ln(c*x^2+b*x+a)*a*e^4+2/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*e^4+1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*a^2*c*e^4-1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*a*b^2*e^4+1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*b^3*d*e^3+2*e^4/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*a*c-6*e^2/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*c^2*d^2+2*e^2/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)*c*d+3/(a*e^2-b*d*e+c*d^2)^3*c^2*ln(c*x^2+b*x+a)*d^2*e^2","B"
1539,1,1921,281,0.087000," ","int((2*c*x+b)*(e*x+d)^5/(c*x^2+b*x+a)^3,x)","\frac{9 a^{2} e^{5} x^{3}}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right)}-\frac{17 a \,b^{2} e^{5} x^{3}}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right) c}+\frac{50 a b d \,e^{4} x^{3}}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right)}-\frac{50 a c \,d^{2} e^{3} x^{3}}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right)}+\frac{4 b^{4} e^{5} x^{3}}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right) c^{2}}-\frac{15 b^{3} d \,e^{4} x^{3}}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right) c}+\frac{20 b^{2} d^{2} e^{3} x^{3}}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right)}-\frac{10 b c \,d^{3} e^{2} x^{3}}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right)}+\frac{5 c^{2} d^{4} e \,x^{3}}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right)}-\frac{13 a^{2} b \,e^{5} x^{2}}{2 \left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right) c}+\frac{40 a^{2} d \,e^{4} x^{2}}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right)}-\frac{21 a \,b^{3} e^{5} x^{2}}{2 \left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right) c^{2}}+\frac{25 a \,b^{2} d \,e^{4} x^{2}}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right) c}-\frac{15 a b \,d^{2} e^{3} x^{2}}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right)}-\frac{40 a c \,d^{3} e^{2} x^{2}}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right)}+\frac{7 b^{5} e^{5} x^{2}}{2 \left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right) c^{3}}-\frac{25 b^{4} d \,e^{4} x^{2}}{2 \left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right) c^{2}}+\frac{15 b^{3} d^{2} e^{3} x^{2}}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right) c}-\frac{5 b^{2} d^{3} e^{2} x^{2}}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right)}+\frac{15 b c \,d^{4} e \,x^{2}}{2 \left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right)}+\frac{7 a^{3} e^{5} x}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right) c}-\frac{26 a^{2} b^{2} e^{5} x}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right) c^{2}}+\frac{70 a^{2} b d \,e^{4} x}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right) c}-\frac{30 a^{2} d^{2} e^{3} x}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right)}+\frac{7 a \,b^{4} e^{5} x}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right) c^{3}}-\frac{25 a \,b^{3} d \,e^{4} x}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right) c^{2}}+\frac{30 a \,b^{2} d^{2} e^{3} x}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right) c}-\frac{30 a b \,d^{3} e^{2} x}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right)}-\frac{5 a c \,d^{4} e x}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right)}+\frac{5 b^{2} d^{4} e x}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right)}-\frac{23 a^{3} b \,e^{5}}{2 \left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right) c^{2}}+\frac{30 a^{3} d \,e^{4}}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right) c}+\frac{7 a^{2} b^{3} e^{5}}{2 \left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right) c^{3}}-\frac{25 a^{2} b^{2} d \,e^{4}}{2 \left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right) c^{2}}+\frac{15 a^{2} b \,d^{2} e^{3}}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right) c}-\frac{30 a^{2} e^{5} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c}-\frac{20 a^{2} d^{3} e^{2}}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right)}+\frac{30 a \,b^{2} e^{5} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c^{2}}-\frac{60 a b d \,e^{4} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c}+\frac{5 a b \,d^{4} e}{2 \left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right)}-\frac{2 a c \,d^{5}}{\left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right)}+\frac{60 a \,d^{2} e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}-\frac{5 b^{4} e^{5} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c^{3}}+\frac{10 b^{3} d \,e^{4} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c^{2}}+\frac{b^{2} d^{5}}{2 \left(c \,x^{2}+b x +a \right)^{2} \left(4 a c -b^{2}\right)}-\frac{20 b \,d^{3} e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}+\frac{10 c \,d^{4} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}-\frac{10 a b \,e^{5} \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) c^{2}}+\frac{20 a d \,e^{4} \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) c}+\frac{5 b^{3} e^{5} \ln \left(c \,x^{2}+b x +a \right)}{2 \left(4 a c -b^{2}\right) c^{3}}-\frac{5 b^{2} d \,e^{4} \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) c^{2}}+\frac{2 e^{5} x}{c^{2}}"," ",0,"25/c/(c*x^2+b*x+a)^2*e^4/(4*a*c-b^2)*x^2*a*b^2*d-25/c^2/(c*x^2+b*x+a)^2*e^4/(4*a*c-b^2)*x*a*b^3*d+30/c/(c*x^2+b*x+a)^2*e^3/(4*a*c-b^2)*x*a*b^2*d^2-5*c/(c*x^2+b*x+a)^2*e/(4*a*c-b^2)*x*a*d^4+15/2*c/(c*x^2+b*x+a)^2*e/(4*a*c-b^2)*x^2*b*d^4-50*c/(c*x^2+b*x+a)^2*e^3/(4*a*c-b^2)*x^3*a*d^2-15/c/(c*x^2+b*x+a)^2*e^4/(4*a*c-b^2)*x^3*b^3*d+15/c/(c*x^2+b*x+a)^2*e^3/(4*a*c-b^2)*x^2*b^3*d^2-15/(c*x^2+b*x+a)^2*e^3/(4*a*c-b^2)*x^2*a*b*d^2-30/(c*x^2+b*x+a)^2*e^2/(4*a*c-b^2)*x*a*b*d^3+15/c/(c*x^2+b*x+a)^2/(4*a*c-b^2)*a^2*b*d^2*e^3-10*c/(c*x^2+b*x+a)^2*e^2/(4*a*c-b^2)*x^3*b*d^3-13/2/c/(c*x^2+b*x+a)^2*e^5/(4*a*c-b^2)*x^2*a^2*b-40*c/(c*x^2+b*x+a)^2*e^2/(4*a*c-b^2)*x^2*a*d^3-21/2/c^2/(c*x^2+b*x+a)^2*e^5/(4*a*c-b^2)*x^2*a*b^3-25/2/c^2/(c*x^2+b*x+a)^2*e^4/(4*a*c-b^2)*x^2*b^4*d-26/c^2/(c*x^2+b*x+a)^2*e^5/(4*a*c-b^2)*x*a^2*b^2-25/2/c^2/(c*x^2+b*x+a)^2/(4*a*c-b^2)*a^2*b^2*d*e^4-60/c*e^4/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*d+9/(c*x^2+b*x+a)^2*e^5/(4*a*c-b^2)*x^3*a^2-20/(c*x^2+b*x+a)^2/(4*a*c-b^2)*a^2*d^3*e^2+5/2/c^3*e^5/(4*a*c-b^2)*ln(c*x^2+b*x+a)*b^3+2*e^5/c^2*x+70/c/(c*x^2+b*x+a)^2*e^4/(4*a*c-b^2)*x*a^2*b*d+1/2/(c*x^2+b*x+a)^2/(4*a*c-b^2)*b^2*d^5+50/(c*x^2+b*x+a)^2*e^4/(4*a*c-b^2)*x^3*a*b*d-17/c/(c*x^2+b*x+a)^2*e^5/(4*a*c-b^2)*x^3*a*b^2+7/c^3/(c*x^2+b*x+a)^2*e^5/(4*a*c-b^2)*x*a*b^4-30/(c*x^2+b*x+a)^2*e^3/(4*a*c-b^2)*x*a^2*d^2-5/(c*x^2+b*x+a)^2*e^2/(4*a*c-b^2)*x^2*b^2*d^3+40/(c*x^2+b*x+a)^2*e^4/(4*a*c-b^2)*x^2*a^2*d+5/2/(c*x^2+b*x+a)^2/(4*a*c-b^2)*a*b*d^4*e+20/(c*x^2+b*x+a)^2*e^3/(4*a*c-b^2)*x^3*b^2*d^2+5/(c*x^2+b*x+a)^2*e/(4*a*c-b^2)*x*b^2*d^4+30/c/(c*x^2+b*x+a)^2/(4*a*c-b^2)*a^3*d*e^4-23/2/c^2/(c*x^2+b*x+a)^2/(4*a*c-b^2)*a^3*b*e^5+20/c*e^4/(4*a*c-b^2)*ln(c*x^2+b*x+a)*a*d-5/c^2*e^4/(4*a*c-b^2)*ln(c*x^2+b*x+a)*b^2*d+7/2/c^3/(c*x^2+b*x+a)^2/(4*a*c-b^2)*a^2*b^3*e^5+5*c^2/(c*x^2+b*x+a)^2*e/(4*a*c-b^2)*x^3*d^4+7/2/c^3/(c*x^2+b*x+a)^2*e^5/(4*a*c-b^2)*x^2*b^5+7/c/(c*x^2+b*x+a)^2*e^5/(4*a*c-b^2)*x*a^3-20*e^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*d^3+60*e^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*d^2+10*c*e/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*d^4-5/c^3*e^5/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^4-30/c*e^5/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2+4/c^2/(c*x^2+b*x+a)^2*e^5/(4*a*c-b^2)*x^3*b^4+10/c^2*e^4/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*d+30/c^2*e^5/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^2-10/c^2*e^5/(4*a*c-b^2)*ln(c*x^2+b*x+a)*a*b-2*c/(c*x^2+b*x+a)^2/(4*a*c-b^2)*a*d^5","B"
1540,1,649,191,0.064000," ","int((2*c*x+b)*(e*x+d)^4/(c*x^2+b*x+a)^3,x)","-\frac{12 a b \,e^{4} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c}+\frac{24 a d \,e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}+\frac{2 b^{3} e^{4} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c^{2}}-\frac{12 b \,d^{2} e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}+\frac{8 c \,d^{3} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}+\frac{4 a \,e^{4} \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) c}-\frac{b^{2} e^{4} \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) c^{2}}+\frac{\frac{\left(10 a b c \,e^{3}-20 c^{2} a d \,e^{2}-3 b^{3} e^{3}+8 b^{2} c d \,e^{2}-6 b \,c^{2} d^{2} e +4 c^{3} d^{3}\right) e \,x^{3}}{\left(4 a c -b^{2}\right) c}+\frac{\left(16 a^{2} c^{2} e^{3}+10 a \,b^{2} c \,e^{3}-12 a b \,c^{2} d \,e^{2}-48 a \,c^{3} d^{2} e -5 b^{4} e^{3}+12 b^{3} c d \,e^{2}-6 b^{2} c^{2} d^{2} e +12 b \,c^{3} d^{3}\right) e \,x^{2}}{2 \left(4 a c -b^{2}\right) c^{2}}+\frac{\left(14 a^{2} b c \,e^{3}-12 a^{2} c^{2} d \,e^{2}-5 a \,b^{3} e^{3}+12 a \,b^{2} c d \,e^{2}-18 a b \,c^{2} d^{2} e -4 a \,c^{3} d^{3}+4 b^{2} c^{2} d^{3}\right) e x}{\left(4 a c -b^{2}\right) c^{2}}+\frac{12 a^{3} c \,e^{4}-5 a^{2} b^{2} e^{4}+12 a^{2} b c d \,e^{3}-24 a^{2} c^{2} d^{2} e^{2}+4 a b \,c^{2} d^{3} e -4 a \,c^{3} d^{4}+b^{2} c^{2} d^{4}}{2 \left(4 a c -b^{2}\right) c^{2}}}{\left(c \,x^{2}+b x +a \right)^{2}}"," ",0,"(1/c*e*(10*a*b*c*e^3-20*a*c^2*d*e^2-3*b^3*e^3+8*b^2*c*d*e^2-6*b*c^2*d^2*e+4*c^3*d^3)/(4*a*c-b^2)*x^3+1/2*e*(16*a^2*c^2*e^3+10*a*b^2*c*e^3-12*a*b*c^2*d*e^2-48*a*c^3*d^2*e-5*b^4*e^3+12*b^3*c*d*e^2-6*b^2*c^2*d^2*e+12*b*c^3*d^3)/c^2/(4*a*c-b^2)*x^2+e*(14*a^2*b*c*e^3-12*a^2*c^2*d*e^2-5*a*b^3*e^3+12*a*b^2*c*d*e^2-18*a*b*c^2*d^2*e-4*a*c^3*d^3+4*b^2*c^2*d^3)/(4*a*c-b^2)/c^2*x+1/2*(12*a^3*c*e^4-5*a^2*b^2*e^4+12*a^2*b*c*d*e^3-24*a^2*c^2*d^2*e^2+4*a*b*c^2*d^3*e-4*a*c^3*d^4+b^2*c^2*d^4)/c^2/(4*a*c-b^2))/(c*x^2+b*x+a)^2+4*e^4/(4*a*c-b^2)/c*ln(c*x^2+b*x+a)*a-e^4/(4*a*c-b^2)/c^2*ln(c*x^2+b*x+a)*b^2-12*e^4/(4*a*c-b^2)^(3/2)/c*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b+24*e^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*d-12*e^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*d^2+8*e/(4*a*c-b^2)^(3/2)*c*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*d^3+2*e^4/(4*a*c-b^2)^(3/2)/c^2*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3","B"
1541,1,365,118,0.059000," ","int((2*c*x+b)*(e*x+d)^3/(c*x^2+b*x+a)^3,x)","\frac{6 a \,e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}-\frac{6 b d \,e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}+\frac{6 c \,d^{2} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}+\frac{-\frac{\left(5 a c \,e^{2}-2 b^{2} e^{2}+3 b c d e -3 c^{2} d^{2}\right) e \,x^{3}}{4 a c -b^{2}}-\frac{3 \left(a b c \,e^{2}+8 a \,c^{2} d e -b^{3} e^{2}+b^{2} c d e -3 b \,c^{2} d^{2}\right) e \,x^{2}}{2 \left(4 a c -b^{2}\right) c}-\frac{3 \left(a^{2} c \,e^{2}-a \,b^{2} e^{2}+3 a b c d e +a \,c^{2} d^{2}-b^{2} c \,d^{2}\right) e x}{\left(4 a c -b^{2}\right) c}+\frac{3 a^{2} b \,e^{3}-12 a^{2} c d \,e^{2}+3 a b c \,d^{2} e -4 a \,c^{2} d^{3}+b^{2} c \,d^{3}}{2 \left(4 a c -b^{2}\right) c}}{\left(c \,x^{2}+b x +a \right)^{2}}"," ",0,"(-e*(5*a*c*e^2-2*b^2*e^2+3*b*c*d*e-3*c^2*d^2)/(4*a*c-b^2)*x^3-3/2*e*(a*b*c*e^2+8*a*c^2*d*e-b^3*e^2+b^2*c*d*e-3*b*c^2*d^2)/(4*a*c-b^2)/c*x^2-3/c*e*(a^2*c*e^2-a*b^2*e^2+3*a*b*c*d*e+a*c^2*d^2-b^2*c*d^2)/(4*a*c-b^2)*x+1/2*(3*a^2*b*e^3-12*a^2*c*d*e^2+3*a*b*c*d^2*e-4*a*c^2*d^3+b^2*c*d^3)/(4*a*c-b^2)/c)/(c*x^2+b*x+a)^2+6*e^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a-6*e^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*d+6*e/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*c*d^2","B"
1542,1,229,106,0.054000," ","int((2*c*x+b)*(e*x+d)^2/(c*x^2+b*x+a)^3,x)","-\frac{2 b \,e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}+\frac{4 c d e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}+\frac{-\frac{\left(b e -2 c d \right) c e \,x^{3}}{4 a c -b^{2}}-\frac{\left(8 a c e +e \,b^{2}-6 b c d \right) e \,x^{2}}{2 \left(4 a c -b^{2}\right)}-\frac{\left(3 a b e +2 a c d -2 b^{2} d \right) e x}{4 a c -b^{2}}-\frac{4 a^{2} e^{2}-2 a b d e +4 a c \,d^{2}-b^{2} d^{2}}{2 \left(4 a c -b^{2}\right)}}{\left(c \,x^{2}+b x +a \right)^{2}}"," ",0,"(-(b*e-2*c*d)*c*e/(4*a*c-b^2)*x^3-1/2*e*(8*a*c*e+b^2*e-6*b*c*d)/(4*a*c-b^2)*x^2-e*(3*a*b*e+2*a*c*d-2*b^2*d)/(4*a*c-b^2)*x-1/2*(4*a^2*e^2-2*a*b*d*e+4*a*c*d^2-b^2*d^2)/(4*a*c-b^2))/(c*x^2+b*x+a)^2-2*e^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b+4*e/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*c*d","B"
1543,1,146,86,0.057000," ","int((2*c*x+b)*(e*x+d)/(c*x^2+b*x+a)^3,x)","\frac{2 c e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}+\frac{\frac{c^{2} e \,x^{3}}{4 a c -b^{2}}+\frac{3 b c e \,x^{2}}{2 \left(4 a c -b^{2}\right)}-\frac{\left(a c -b^{2}\right) e x}{4 a c -b^{2}}+\frac{a b e -4 a c d +b^{2} d}{8 a c -2 b^{2}}}{\left(c \,x^{2}+b x +a \right)^{2}}"," ",0,"(c^2*e/(4*a*c-b^2)*x^3+3/2*b*c*e/(4*a*c-b^2)*x^2-e*(a*c-b^2)/(4*a*c-b^2)*x+1/2*(a*b*e-4*a*c*d+b^2*d)/(4*a*c-b^2))/(c*x^2+b*x+a)^2+2*c*e/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))","A"
1544,1,15,14,0.044000," ","int((2*c*x+b)/(c*x^2+b*x+a)^3,x)","-\frac{1}{2 \left(c \,x^{2}+b x +a \right)^{2}}"," ",0,"-1/2/(c*x^2+b*x+a)^2","A"
1545,1,3233,387,0.085000," ","int((2*c*x+b)/(e*x+d)/(c*x^2+b*x+a)^3,x)","\text{output too large to display}"," ",0,"6/(a*e^2-b*d*e+c*d^2)^3*e^5/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*c^2*a^2-2/(a*e^2-b*d*e+c*d^2)^3*e/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*c^4*d^4-2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*c^3*e^4/(4*a*c-b^2)*x^3*a*b*d-6/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*e^2/(4*a*c-b^2)*x*a*b*c^3*d^3-4/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*c^2*e^4/(4*a*c-b^2)*x^2*a*b^2*d+9/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*c^3*e^3/(4*a*c-b^2)*x^2*a*b*d^2+2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*c^4*e^3/(4*a*c-b^2)*x^3*a*d^2+6/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*e^3/(4*a*c-b^2)*x*a^2*c^3*d^2+1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*e/(4*a*c-b^2)*x*a*c^4*d^4+2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*c^4*e^2/(4*a*c-b^2)*x^3*b*d^3+2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*c*e^4/(4*a*c-b^2)*x^2*b^4*d-9/2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*c^2*e^3/(4*a*c-b^2)*x^2*b^3*d^2-4/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*c^3*e^4/(4*a*c-b^2)*x^2*a^2*d-2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*c*e^5/(4*a*c-b^2)*x^2*a*b^3-4/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*c^4*e^2/(4*a*c-b^2)*x^2*a*d^3+1/2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2/(4*a*c-b^2)*b^2*c^3*d^5-5/2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2/(4*a*c-b^2)*a*b^3*c*d^2*e^3+13/2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*c^2*e^5/(4*a*c-b^2)*x^2*a^2*b+1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*c^2*e^4/(4*a*c-b^2)*x^3*b^3*d-2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*c^3*e^3/(4*a*c-b^2)*x^3*b^2*d^2-3/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2/(4*a*c-b^2)*a*b^2*c^2*d^3*e^2+11/2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2/(4*a*c-b^2)*a*b*c^3*d^4*e-1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*c^2*e^5/(4*a*c-b^2)*x^3*a*b^2+2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*e^5/(4*a*c-b^2)*x*a^2*b^2*c+12/(a*e^2-b*d*e+c*d^2)^3*e^4/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*c^2*d-3/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*e^3/(4*a*c-b^2)*x*b^4*c*d^2+3/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*e^2/(4*a*c-b^2)*x*b^3*c^2*d^3-1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*e/(4*a*c-b^2)*x*b^2*c^3*d^4-11/2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2/(4*a*c-b^2)*a^2*b^2*c*d*e^4+15/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2/(4*a*c-b^2)*a^2*b*c^2*d^2*e^3-6/(a*e^2-b*d*e+c*d^2)^3*e^5/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^2*c-1/(a*e^2-b*d*e+c*d^2)^3*e^4/(4*a*c-b^2)*c*ln(c*x^2+b*x+a)*b^2*d-12/(a*e^2-b*d*e+c*d^2)^3*e^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*c^3*d^2-2/(a*e^2-b*d*e+c*d^2)^3*e^4/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*c*d+4/(a*e^2-b*d*e+c*d^2)^3*e^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*c^3*d^3-2/(a*e^2-b*d*e+c*d^2)^3*e^5/(4*a*c-b^2)*c*ln(c*x^2+b*x+a)*a*b+4/(a*e^2-b*d*e+c*d^2)^3*e^4/(4*a*c-b^2)*c^2*ln(c*x^2+b*x+a)*a*d-10/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*e^4/(4*a*c-b^2)*x*a^2*b*c^2*d+6/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*e^3/(4*a*c-b^2)*x*a*b^2*c^2*d^2+4/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*c^3*e^2/(4*a*c-b^2)*x^2*b^2*d^3-3/2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*c^4*e/(4*a*c-b^2)*x^2*b*d^4+11/2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2/(4*a*c-b^2)*a^3*b*c*e^5-6/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2/(4*a*c-b^2)*a^3*c^2*d*e^4-8/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2/(4*a*c-b^2)*a^2*c^3*d^3*e^2+2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2/(4*a*c-b^2)*a*b^4*d*e^4+3/2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2/(4*a*c-b^2)*b^4*c*d^3*e^2-3/2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2/(4*a*c-b^2)*b^3*c^2*d^4*e+3/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*c^3*e^5/(4*a*c-b^2)*x^3*a^2-1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*c^5*e/(4*a*c-b^2)*x^3*d^4-3/2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2/(4*a*c-b^2)*a^2*b^3*e^5-2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2/(4*a*c-b^2)*a*c^4*d^5-1/2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2/(4*a*c-b^2)*b^5*d^2*e^3+e^5/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*b+1/2/(a*e^2-b*d*e+c*d^2)^3*e^5/(4*a*c-b^2)*ln(c*x^2+b*x+a)*b^3+1/(a*e^2-b*d*e+c*d^2)^3*e^5/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^4-2*e^4/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*c*d+5/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*e^5/(4*a*c-b^2)*x*a^3*c^2-1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*e^5/(4*a*c-b^2)*x*a*b^4+1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)^2*e^4/(4*a*c-b^2)*x*b^5*d","B"
1546,1,1537,401,0.072000," ","int((2*c*x+b)*(e*x+d)^4*(c*x^2+b*x+a)^(1/2),x)","\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} e^{4} x^{4}}{7}-\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b \,e^{4} x^{3}}{21 c}+\frac{4 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} d \,e^{3} x^{3}}{3}-\frac{a^{3} b \,e^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{5}{2}}}+\frac{a^{3} d \,e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}+\frac{5 a^{2} b^{3} e^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}-\frac{9 a^{2} b^{2} d \,e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}+\frac{3 a^{2} b \,d^{2} e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}-\frac{a^{2} d^{3} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}}-\frac{7 a \,b^{5} e^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{9}{2}}}+\frac{15 a \,b^{4} d \,e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{7}{2}}}-\frac{3 a \,b^{3} d^{2} e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{5}{2}}}+\frac{a \,b^{2} d^{3} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}+\frac{3 b^{7} e^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{11}{2}}}-\frac{7 b^{6} d \,e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{9}{2}}}+\frac{3 b^{5} d^{2} e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{7}{2}}}-\frac{b^{4} d^{3} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{5}{2}}}-\frac{\sqrt{c \,x^{2}+b x +a}\, a^{2} b \,e^{4} x}{4 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, a^{2} d \,e^{3} x}{2 c}+\frac{\sqrt{c \,x^{2}+b x +a}\, a \,b^{3} e^{4} x}{4 c^{3}}-\frac{\sqrt{c \,x^{2}+b x +a}\, a \,b^{2} d \,e^{3} x}{c^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, a b \,d^{2} e^{2} x}{2 c}-\frac{8 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a \,e^{4} x^{2}}{35 c}-\sqrt{c \,x^{2}+b x +a}\, a \,d^{3} e x -\frac{3 \sqrt{c \,x^{2}+b x +a}\, b^{5} e^{4} x}{64 c^{4}}+\frac{7 \sqrt{c \,x^{2}+b x +a}\, b^{4} d \,e^{3} x}{32 c^{3}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, b^{3} d^{2} e^{2} x}{8 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, b^{2} d^{3} e x}{4 c}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{2} e^{4} x^{2}}{35 c^{2}}-\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b d \,e^{3} x^{2}}{5 c}+\frac{12 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} d^{2} e^{2} x^{2}}{5}-\frac{\sqrt{c \,x^{2}+b x +a}\, a^{2} b^{2} e^{4}}{8 c^{3}}+\frac{\sqrt{c \,x^{2}+b x +a}\, a^{2} b d \,e^{3}}{4 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, a \,b^{4} e^{4}}{8 c^{4}}-\frac{\sqrt{c \,x^{2}+b x +a}\, a \,b^{3} d \,e^{3}}{2 c^{3}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, a \,b^{2} d^{2} e^{2}}{4 c^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, a b \,d^{3} e}{2 c}+\frac{19 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a b \,e^{4} x}{70 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a d \,e^{3} x}{c}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, b^{6} e^{4}}{128 c^{5}}+\frac{7 \sqrt{c \,x^{2}+b x +a}\, b^{5} d \,e^{3}}{64 c^{4}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, b^{4} d^{2} e^{2}}{16 c^{3}}+\frac{\sqrt{c \,x^{2}+b x +a}\, b^{3} d^{3} e}{8 c^{2}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{3} e^{4} x}{40 c^{3}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{2} d \,e^{3} x}{20 c^{2}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b \,d^{2} e^{2} x}{5 c}+2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} d^{3} e x +\frac{16 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{2} e^{4}}{105 c^{2}}-\frac{17 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a \,b^{2} e^{4}}{60 c^{3}}+\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a b d \,e^{3}}{10 c^{2}}-\frac{8 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a \,d^{2} e^{2}}{5 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{4} e^{4}}{16 c^{4}}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{3} d \,e^{3}}{24 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{2} d^{2} e^{2}}{2 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b \,d^{3} e}{3 c}+\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} d^{4}}{3}"," ",0,"-1/16*b^4/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d^3*e-a^2/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d^3*e+12/5*x^2*(c*x^2+b*x+a)^(3/2)*d^2*e^2+3/256/c^(11/2)*e^4*b^7*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+4/3*x^3*(c*x^2+b*x+a)^(3/2)*d*e^3+2*x*(c*x^2+b*x+a)^(3/2)*d^3*e+1/16/c^4*e^4*b^4*(c*x^2+b*x+a)^(3/2)-3/128/c^5*e^4*b^6*(c*x^2+b*x+a)^(1/2)+16/105/c^2*e^4*a^2*(c*x^2+b*x+a)^(3/2)+19/70/c^2*e^4*b*a*x*(c*x^2+b*x+a)^(3/2)-1/4/c^2*e^4*b*a^2*x*(c*x^2+b*x+a)^(1/2)+1/4/c^3*e^4*b^3*a*x*(c*x^2+b*x+a)^(1/2)+1/2*b^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*d^3*e+1/4*b^2/c*x*(c*x^2+b*x+a)^(1/2)*d^3*e+3/32*b^5/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d^2*e^2-7/128*b^6/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*e^3+1/2*a^3/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*e^3-1/4/c^(5/2)*e^4*b*a^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+5/16/c^(7/2)*e^4*b^3*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-7/64/c^(9/2)*e^4*b^5*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-17/60/c^3*e^4*b^2*a*(c*x^2+b*x+a)^(3/2)-a*x*(c*x^2+b*x+a)^(1/2)*d^3*e+1/2*b^2/c^2*(c*x^2+b*x+a)^(3/2)*d^2*e^2+3/2*b/c*a*x*(c*x^2+b*x+a)^(1/2)*d^2*e^2-b^2/c^2*a*x*(c*x^2+b*x+a)^(1/2)*d*e^3+2/7*e^4*x^4*(c*x^2+b*x+a)^(3/2)+2/3*(c*x^2+b*x+a)^(3/2)*d^4-1/2*a/c*(c*x^2+b*x+a)^(1/2)*b*d^3*e+3/4*b^2/c^2*a*(c*x^2+b*x+a)^(1/2)*d^2*e^2-3/5*b/c*x*(c*x^2+b*x+a)^(3/2)*d^2*e^2-3/8*b^3/c^2*x*(c*x^2+b*x+a)^(1/2)*d^2*e^2+3/2*b/c^(3/2)*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d^2*e^2-3/4*b^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*d^2*e^2-9/8*b^2/c^(5/2)*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*e^3+15/32*b^4/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*d*e^3-2/5*b/c*x^2*(c*x^2+b*x+a)^(3/2)*d*e^3+7/20*b^2/c^2*x*(c*x^2+b*x+a)^(3/2)*d*e^3+7/32*b^4/c^3*x*(c*x^2+b*x+a)^(1/2)*d*e^3+11/10*b/c^2*a*(c*x^2+b*x+a)^(3/2)*d*e^3+1/2*a^2/c*x*(c*x^2+b*x+a)^(1/2)*d*e^3-a/c*x*(c*x^2+b*x+a)^(3/2)*d*e^3-1/2*b^3/c^3*a*(c*x^2+b*x+a)^(1/2)*d*e^3+1/4*a^2/c^2*(c*x^2+b*x+a)^(1/2)*b*d*e^3+1/8*b^3/c^2*(c*x^2+b*x+a)^(1/2)*d^3*e+1/8/c^4*e^4*b^4*a*(c*x^2+b*x+a)^(1/2)-3/16*b^4/c^3*(c*x^2+b*x+a)^(1/2)*d^2*e^2-8/5*a/c*(c*x^2+b*x+a)^(3/2)*d^2*e^2-1/3*b/c*(c*x^2+b*x+a)^(3/2)*d^3*e-8/35/c*e^4*a*x^2*(c*x^2+b*x+a)^(3/2)-2/21/c*e^4*b*x^3*(c*x^2+b*x+a)^(3/2)+3/35/c^2*e^4*b^2*x^2*(c*x^2+b*x+a)^(3/2)-3/40/c^3*e^4*b^3*x*(c*x^2+b*x+a)^(3/2)-1/8/c^3*e^4*b^2*a^2*(c*x^2+b*x+a)^(1/2)-3/64/c^4*e^4*b^5*x*(c*x^2+b*x+a)^(1/2)-7/24*b^3/c^3*(c*x^2+b*x+a)^(3/2)*d*e^3+7/64*b^5/c^4*(c*x^2+b*x+a)^(1/2)*d*e^3","B"
1547,1,992,286,0.086000," ","int((2*c*x+b)*(e*x+d)^3*(c*x^2+b*x+a)^(1/2),x)","\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} e^{3} x^{3}}{3}+\frac{a^{3} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{3}{2}}}-\frac{9 a^{2} b^{2} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{5}{2}}}+\frac{3 a^{2} b d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{3}{2}}}-\frac{3 a^{2} d^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 \sqrt{c}}+\frac{15 a \,b^{4} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{7}{2}}}-\frac{3 a \,b^{3} d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}+\frac{3 a \,b^{2} d^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{3}{2}}}-\frac{7 b^{6} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{512 c^{\frac{9}{2}}}+\frac{3 b^{5} d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{7}{2}}}-\frac{3 b^{4} d^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{5}{2}}}+\frac{\sqrt{c \,x^{2}+b x +a}\, a^{2} e^{3} x}{8 c}-\frac{\sqrt{c \,x^{2}+b x +a}\, a \,b^{2} e^{3} x}{4 c^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, a b d \,e^{2} x}{4 c}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, a \,d^{2} e x}{4}+\frac{7 \sqrt{c \,x^{2}+b x +a}\, b^{4} e^{3} x}{128 c^{3}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, b^{3} d \,e^{2} x}{16 c^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, b^{2} d^{2} e x}{16 c}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b \,e^{3} x^{2}}{10 c}+\frac{6 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} d \,e^{2} x^{2}}{5}+\frac{\sqrt{c \,x^{2}+b x +a}\, a^{2} b \,e^{3}}{16 c^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, a \,b^{3} e^{3}}{8 c^{3}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, a \,b^{2} d \,e^{2}}{8 c^{2}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, a b \,d^{2} e}{8 c}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a \,e^{3} x}{4 c}+\frac{7 \sqrt{c \,x^{2}+b x +a}\, b^{5} e^{3}}{256 c^{4}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, b^{4} d \,e^{2}}{32 c^{3}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, b^{3} d^{2} e}{32 c^{2}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{2} e^{3} x}{80 c^{2}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b d \,e^{2} x}{10 c}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} d^{2} e x}{2}+\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a b \,e^{3}}{40 c^{2}}-\frac{4 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a d \,e^{2}}{5 c}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{3} e^{3}}{96 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{2} d \,e^{2}}{4 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b \,d^{2} e}{4 c}+\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} d^{3}}{3}"," ",0,"-3/10*b/c*x*(c*x^2+b*x+a)^(3/2)*d*e^2-3/16*b^3/c^2*x*(c*x^2+b*x+a)^(1/2)*d*e^2-1/4/c^2*e^3*b^2*a*x*(c*x^2+b*x+a)^(1/2)-3/8*a/c*(c*x^2+b*x+a)^(1/2)*b*d^2*e+3/16*b^2/c*x*(c*x^2+b*x+a)^(1/2)*d^2*e+3/8*b^2/c^2*a*(c*x^2+b*x+a)^(1/2)*d*e^2+3/4*b/c^(3/2)*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*e^2+3/8*b^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*d^2*e-3/8*b^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*d*e^2+3/4*b/c*a*x*(c*x^2+b*x+a)^(1/2)*d*e^2+3/64*b^5/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*e^2-9/32/c^(5/2)*e^3*b^2*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+15/128/c^(7/2)*e^3*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-1/4*b/c*(c*x^2+b*x+a)^(3/2)*d^2*e-1/10/c*e^3*b*x^2*(c*x^2+b*x+a)^(3/2)-3/64*b^4/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d^2*e-3/4*a^2/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d^2*e+2/3*(c*x^2+b*x+a)^(3/2)*d^3+1/3*e^3*x^3*(c*x^2+b*x+a)^(3/2)+7/256/c^4*e^3*b^5*(c*x^2+b*x+a)^(1/2)+6/5*x^2*(c*x^2+b*x+a)^(3/2)*d*e^2-7/512/c^(9/2)*e^3*b^6*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/8/c^(3/2)*e^3*a^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/2*x*(c*x^2+b*x+a)^(3/2)*d^2*e-7/96/c^3*e^3*b^3*(c*x^2+b*x+a)^(3/2)+7/128/c^3*e^3*b^4*x*(c*x^2+b*x+a)^(1/2)-1/8/c^3*e^3*b^3*a*(c*x^2+b*x+a)^(1/2)+11/40/c^2*e^3*b*a*(c*x^2+b*x+a)^(3/2)-1/4/c*e^3*a*x*(c*x^2+b*x+a)^(3/2)+1/8/c*e^3*a^2*x*(c*x^2+b*x+a)^(1/2)+1/16/c^2*e^3*a^2*(c*x^2+b*x+a)^(1/2)*b+3/32*b^3/c^2*(c*x^2+b*x+a)^(1/2)*d^2*e-3/4*a*x*(c*x^2+b*x+a)^(1/2)*d^2*e+1/4*b^2/c^2*(c*x^2+b*x+a)^(3/2)*d*e^2-3/32*b^4/c^3*(c*x^2+b*x+a)^(1/2)*d*e^2-4/5*a/c*(c*x^2+b*x+a)^(3/2)*d*e^2+7/80/c^2*e^3*b^2*x*(c*x^2+b*x+a)^(3/2)","B"
1548,1,535,173,0.110000," ","int((2*c*x+b)*(e*x+d)^2*(c*x^2+b*x+a)^(1/2),x)","\frac{a^{2} b \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{3}{2}}}-\frac{a^{2} d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 \sqrt{c}}-\frac{a \,b^{3} e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}+\frac{a \,b^{2} d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{3}{2}}}+\frac{b^{5} e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{7}{2}}}-\frac{b^{4} d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{5}{2}}}+\frac{\sqrt{c \,x^{2}+b x +a}\, a b \,e^{2} x}{4 c}-\frac{\sqrt{c \,x^{2}+b x +a}\, a d e x}{2}-\frac{\sqrt{c \,x^{2}+b x +a}\, b^{3} e^{2} x}{16 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, b^{2} d e x}{8 c}+\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} e^{2} x^{2}}{5}+\frac{\sqrt{c \,x^{2}+b x +a}\, a \,b^{2} e^{2}}{8 c^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, a b d e}{4 c}-\frac{\sqrt{c \,x^{2}+b x +a}\, b^{4} e^{2}}{32 c^{3}}+\frac{\sqrt{c \,x^{2}+b x +a}\, b^{3} d e}{16 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b \,e^{2} x}{10 c}+\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} d e x -\frac{4 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a \,e^{2}}{15 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{2} e^{2}}{12 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b d e}{6 c}+\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} d^{2}}{3}"," ",0,"1/4*b^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*d*e-1/2*a^2/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*e-1/4*a/c*(c*x^2+b*x+a)^(1/2)*b*d*e+1/8*b^2/c*x*(c*x^2+b*x+a)^(1/2)*d*e-1/32*b^4/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*e+1/4/c*e^2*b*a*x*(c*x^2+b*x+a)^(1/2)+1/4/c^(3/2)*e^2*b*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/8/c^(5/2)*e^2*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a+2/5*e^2*x^2*(c*x^2+b*x+a)^(3/2)+x*(c*x^2+b*x+a)^(3/2)*d*e+1/12/c^2*e^2*b^2*(c*x^2+b*x+a)^(3/2)-1/32/c^3*e^2*b^4*(c*x^2+b*x+a)^(1/2)-4/15/c*e^2*a*(c*x^2+b*x+a)^(3/2)-1/6*b/c*(c*x^2+b*x+a)^(3/2)*d*e+1/16*b^3/c^2*(c*x^2+b*x+a)^(1/2)*d*e-1/2*a*x*(c*x^2+b*x+a)^(1/2)*d*e+2/3*(c*x^2+b*x+a)^(3/2)*d^2-1/10/c*e^2*b*x*(c*x^2+b*x+a)^(3/2)-1/16/c^2*e^2*b^3*x*(c*x^2+b*x+a)^(1/2)+1/64/c^(7/2)*e^2*b^5*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/8/c^2*e^2*b^2*a*(c*x^2+b*x+a)^(1/2)","B"
1549,1,235,104,0.053000," ","int((2*c*x+b)*(e*x+d)*(c*x^2+b*x+a)^(1/2),x)","-\frac{a^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 \sqrt{c}}+\frac{a \,b^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{3}{2}}}-\frac{b^{4} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{5}{2}}}-\frac{\sqrt{c \,x^{2}+b x +a}\, a e x}{4}+\frac{\sqrt{c \,x^{2}+b x +a}\, b^{2} e x}{16 c}-\frac{\sqrt{c \,x^{2}+b x +a}\, a b e}{8 c}+\frac{\sqrt{c \,x^{2}+b x +a}\, b^{3} e}{32 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} e x}{2}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b e}{12 c}+\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} d}{3}"," ",0,"1/2*e*x*(c*x^2+b*x+a)^(3/2)-1/12/c*e*b*(c*x^2+b*x+a)^(3/2)+1/16/c*e*b^2*x*(c*x^2+b*x+a)^(1/2)+1/32/c^2*e*b^3*(c*x^2+b*x+a)^(1/2)+1/8/c^(3/2)*e*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-1/64/c^(5/2)*e*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/4*e*a*x*(c*x^2+b*x+a)^(1/2)-1/8/c*e*a*(c*x^2+b*x+a)^(1/2)*b-1/4/c^(1/2)*e*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+2/3*(c*x^2+b*x+a)^(3/2)*d","B"
1550,1,15,14,0.051000," ","int((2*c*x+b)*(c*x^2+b*x+a)^(1/2),x)","\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}{3}"," ",0,"2/3*(c*x^2+b*x+a)^(3/2)","A"
1551,1,1302,177,0.056000," ","int((2*c*x+b)*(c*x^2+b*x+a)^(1/2)/(e*x+d),x)","-\frac{a b \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e}+\frac{2 a c d \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e^{2}}+\frac{b^{2} d \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e^{2}}-\frac{3 b c \,d^{2} \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e^{3}}+\frac{2 c^{2} d^{3} \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e^{4}}+\frac{a \sqrt{c}\, \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{e}-\frac{b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 \sqrt{c}\, e}+\frac{b^{2} \ln \left(\frac{\left(x +\frac{d}{e}\right) c +\frac{b e -2 c d}{2 e}}{\sqrt{c}}+\sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\right)}{2 \sqrt{c}\, e}-\frac{2 b \sqrt{c}\, d \ln \left(\frac{\left(x +\frac{d}{e}\right) c +\frac{b e -2 c d}{2 e}}{\sqrt{c}}+\sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\right)}{e^{2}}+\frac{2 c^{\frac{3}{2}} d^{2} \ln \left(\frac{\left(x +\frac{d}{e}\right) c +\frac{b e -2 c d}{2 e}}{\sqrt{c}}+\sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\right)}{e^{3}}+\frac{\sqrt{c \,x^{2}+b x +a}\, c x}{e}+\frac{\sqrt{c \,x^{2}+b x +a}\, b}{2 e}+\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, b}{e}-\frac{2 \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, c d}{e^{2}}"," ",0,"c/e*(c*x^2+b*x+a)^(1/2)*x+1/2/e*(c*x^2+b*x+a)^(1/2)*b+c^(1/2)/e*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-1/4/c^(1/2)/e*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^2+1/e*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b-2/e^2*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*c*d+1/2/e*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/c^(1/2)*b^2-2/e^2*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))*c^(1/2)*b*d+2/e^3*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))*c^(3/2)*d^2-1/e/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln((2*(a*e^2-b*d*e+c*d^2)/e^2+(b*e-2*c*d)*(x+d/e)/e+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*a*b+2/e^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln((2*(a*e^2-b*d*e+c*d^2)/e^2+(b*e-2*c*d)*(x+d/e)/e+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*a*c*d+1/e^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln((2*(a*e^2-b*d*e+c*d^2)/e^2+(b*e-2*c*d)*(x+d/e)/e+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b^2*d-3/e^3/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln((2*(a*e^2-b*d*e+c*d^2)/e^2+(b*e-2*c*d)*(x+d/e)/e+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b*d^2*c+2/e^4/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln((2*(a*e^2-b*d*e+c*d^2)/e^2+(b*e-2*c*d)*(x+d/e)/e+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*c^2*d^3","B"
1552,1,3088,183,0.061000," ","int((2*c*x+b)*(c*x^2+b*x+a)^(1/2)/(e*x+d)^2,x)","\text{output too large to display}"," ",0,"-2/e^3/(a*e^2-b*d*e+c*d^2)*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))*c^(5/2)*d^3+2/e^2/(a*e^2-b*d*e+c*d^2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*c^2*d^2+2*c/e^3/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b*d-2/e/(a*e^2-b*d*e+c*d^2)*c^(3/2)*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))*a*d-1/e/(a*e^2-b*d*e+c*d^2)*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))*c^(1/2)*d*b^2+3/e^2/(a*e^2-b*d*e+c*d^2)*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))*c^(3/2)*d^2*b-2/e/(a*e^2-b*d*e+c*d^2)*c^2*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*d+2/e/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*a*b*c*d-1/(a*e^2-b*d*e+c*d^2)/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*b+c^(1/2)/e^2*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))*b-2*c^(3/2)/e^3*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))*d+2*c/e^2*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)+1/(a*e^2-b*d*e+c*d^2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2-2/e^2/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*a*c^2*d^2-5/2/e^2/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b^2*d^2*c+4/e^3/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b*d^3*c^2-2/e^4/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*c^3*d^4+2/e/(a*e^2-b*d*e+c*d^2)/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*c*d-3/e/(a*e^2-b*d*e+c*d^2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*c*d+1/2/e/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b^3*d-1/2/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*a*b^2+1/(a*e^2-b*d*e+c*d^2)*c*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b+1/(a*e^2-b*d*e+c*d^2)*c^(1/2)*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))*a*b-2*c/e^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*a-2*c^2/e^4/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*d^2","B"
1553,1,5046,258,0.069000," ","int((2*c*x+b)*(c*x^2+b*x+a)^(1/2)/(e*x+d)^3,x)","\text{output too large to display}"," ",0,"result too large to display","B"
1554,1,7916,199,0.136000," ","int((2*c*x+b)*(c*x^2+b*x+a)^(1/2)/(e*x+d)^4,x)","\text{output too large to display}"," ",0,"result too large to display","B"
1555,1,10723,285,0.110000," ","int((2*c*x+b)*(c*x^2+b*x+a)^(1/2)/(e*x+d)^5,x)","\text{output too large to display}"," ",0,"result too large to display","B"
1556,1,15192,404,0.091000," ","int((2*c*x+b)*(c*x^2+b*x+a)^(1/2)/(e*x+d)^6,x)","\text{output too large to display}"," ",0,"result too large to display","B"
1557,1,1607,349,0.075000," ","int((2*c*x+b)*(e*x+d)^3*(c*x^2+b*x+a)^(3/2),x)","\frac{3 a^{4} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{3}{2}}}-\frac{9 a^{3} b^{2} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{5}{2}}}+\frac{3 a^{3} b d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{3}{2}}}-\frac{3 a^{3} d^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 \sqrt{c}}+\frac{45 a^{2} b^{4} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{512 c^{\frac{7}{2}}}-\frac{9 a^{2} b^{3} d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{5}{2}}}+\frac{9 a^{2} b^{2} d^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{3}{2}}}-\frac{21 a \,b^{6} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{1024 c^{\frac{9}{2}}}+\frac{9 a \,b^{5} d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{7}{2}}}-\frac{9 a \,b^{4} d^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{5}{2}}}+\frac{27 b^{8} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16384 c^{\frac{11}{2}}}-\frac{3 b^{7} d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{512 c^{\frac{9}{2}}}+\frac{3 b^{6} d^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{512 c^{\frac{7}{2}}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, a^{3} e^{3} x}{64 c}-\frac{33 \sqrt{c \,x^{2}+b x +a}\, a^{2} b^{2} e^{3} x}{256 c^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, a^{2} b d \,e^{2} x}{8 c}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, a^{2} d^{2} e x}{8}+\frac{57 \sqrt{c \,x^{2}+b x +a}\, a \,b^{4} e^{3} x}{1024 c^{3}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, a \,b^{3} d \,e^{2} x}{16 c^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, a \,b^{2} d^{2} e x}{16 c}-\frac{27 \sqrt{c \,x^{2}+b x +a}\, b^{6} e^{3} x}{4096 c^{4}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, b^{5} d \,e^{2} x}{128 c^{3}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, b^{4} d^{2} e x}{128 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} e^{3} x^{3}}{4}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, a^{3} b \,e^{3}}{128 c^{2}}-\frac{33 \sqrt{c \,x^{2}+b x +a}\, a^{2} b^{3} e^{3}}{512 c^{3}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, a^{2} b^{2} d \,e^{2}}{16 c^{2}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, a^{2} b \,d^{2} e}{16 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{2} e^{3} x}{32 c}+\frac{57 \sqrt{c \,x^{2}+b x +a}\, a \,b^{5} e^{3}}{2048 c^{4}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, a \,b^{4} d \,e^{2}}{32 c^{3}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, a \,b^{3} d^{2} e}{32 c^{2}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a \,b^{2} e^{3} x}{64 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a b d \,e^{2} x}{4 c}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a \,d^{2} e x}{4}-\frac{27 \sqrt{c \,x^{2}+b x +a}\, b^{7} e^{3}}{8192 c^{5}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, b^{6} d \,e^{2}}{256 c^{4}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, b^{5} d^{2} e}{256 c^{3}}+\frac{9 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{4} e^{3} x}{512 c^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{3} d \,e^{2} x}{16 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{2} d^{2} e x}{16 c}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b \,e^{3} x^{2}}{56 c}+\frac{6 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} d \,e^{2} x^{2}}{7}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{2} b \,e^{3}}{64 c^{2}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a \,b^{3} e^{3}}{128 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a \,b^{2} d \,e^{2}}{8 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a b \,d^{2} e}{8 c}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} a \,e^{3} x}{8 c}+\frac{9 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{5} e^{3}}{1024 c^{4}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{4} d \,e^{2}}{32 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{3} d^{2} e}{32 c^{2}}+\frac{9 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b^{2} e^{3} x}{224 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b d \,e^{2} x}{7 c}+\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} d^{2} e x +\frac{61 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} a b \,e^{3}}{560 c^{2}}-\frac{12 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} a d \,e^{2}}{35 c}-\frac{9 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b^{3} e^{3}}{320 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b^{2} d \,e^{2}}{10 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b \,d^{2} e}{10 c}+\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} d^{3}}{5}"," ",0,"9/512/c^3*e^3*b^4*x*(c*x^2+b*x+a)^(3/2)-27/4096/c^4*e^3*b^6*(c*x^2+b*x+a)^(1/2)*x+57/2048/c^4*e^3*b^5*(c*x^2+b*x+a)^(1/2)*a-5/128/c^3*e^3*b^3*a*(c*x^2+b*x+a)^(3/2)+2/5*(c*x^2+b*x+a)^(5/2)*d^3+9/128*b^5/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*d*e^2-9/32*b^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2*d*e^2+3/8*b/c^(3/2)*a^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*e^2-3/32*b^4/c^3*(c*x^2+b*x+a)^(1/2)*a*d*e^2-1/16*b^3/c^2*x*(c*x^2+b*x+a)^(3/2)*d*e^2-1/7*b/c*x*(c*x^2+b*x+a)^(5/2)*d*e^2+3/16*b^2/c^2*a^2*(c*x^2+b*x+a)^(1/2)*d*e^2+1/8*b^2/c^2*a*(c*x^2+b*x+a)^(3/2)*d*e^2+3/128*b^5/c^3*(c*x^2+b*x+a)^(1/2)*x*d*e^2+57/1024/c^3*e^3*b^4*(c*x^2+b*x+a)^(1/2)*x*a-33/512/c^3*e^3*b^3*a^2*(c*x^2+b*x+a)^(1/2)-1/8/c*e^3*a*x*(c*x^2+b*x+a)^(5/2)+1/32/c*e^3*a^2*x*(c*x^2+b*x+a)^(3/2)+1/64/c^2*e^3*a^2*(c*x^2+b*x+a)^(3/2)*b+3/64/c*e^3*a^3*(c*x^2+b*x+a)^(1/2)*x+3/128/c^2*e^3*a^3*(c*x^2+b*x+a)^(1/2)*b+3/8*b/c*a^2*(c*x^2+b*x+a)^(1/2)*x*d*e^2+1/4*b/c*a*x*(c*x^2+b*x+a)^(3/2)*d*e^2+3/16*b^2/c*(c*x^2+b*x+a)^(1/2)*x*a*d^2*e-3/16*b^3/c^2*(c*x^2+b*x+a)^(1/2)*x*a*d*e^2+6/7*x^2*(c*x^2+b*x+a)^(5/2)*d*e^2+x*(c*x^2+b*x+a)^(5/2)*d^2*e-9/320/c^3*e^3*b^3*(c*x^2+b*x+a)^(5/2)+9/1024/c^4*e^3*b^5*(c*x^2+b*x+a)^(3/2)-27/8192/c^5*e^3*b^7*(c*x^2+b*x+a)^(1/2)+27/16384/c^(11/2)*e^3*b^8*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/64/c^(3/2)*e^3*a^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-3/8*a^3/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d^2*e+3/256*b^6/c^4*(c*x^2+b*x+a)^(1/2)*d*e^2-3/8*a^2*(c*x^2+b*x+a)^(1/2)*x*d^2*e+1/4*e^3*x^3*(c*x^2+b*x+a)^(5/2)-3/128*b^4/c^2*(c*x^2+b*x+a)^(1/2)*x*d^2*e+3/32*b^3/c^2*(c*x^2+b*x+a)^(1/2)*a*d^2*e+1/16*b^2/c*x*(c*x^2+b*x+a)^(3/2)*d^2*e-3/16*a^2/c*(c*x^2+b*x+a)^(1/2)*b*d^2*e-9/128*b^4/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*d^2*e+9/32*b^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2*d^2*e-1/8*a/c*(c*x^2+b*x+a)^(3/2)*b*d^2*e-5/64/c^2*e^3*b^2*a*x*(c*x^2+b*x+a)^(3/2)-33/256/c^2*e^3*b^2*a^2*(c*x^2+b*x+a)^(1/2)*x+1/32*b^3/c^2*(c*x^2+b*x+a)^(3/2)*d^2*e-3/256*b^5/c^3*(c*x^2+b*x+a)^(1/2)*d^2*e-1/4*a*x*(c*x^2+b*x+a)^(3/2)*d^2*e+1/10*b^2/c^2*(c*x^2+b*x+a)^(5/2)*d*e^2-1/32*b^4/c^3*(c*x^2+b*x+a)^(3/2)*d*e^2-12/35*a/c*(c*x^2+b*x+a)^(5/2)*d*e^2-3/56/c*e^3*b*x^2*(c*x^2+b*x+a)^(5/2)+61/560/c^2*e^3*b*a*(c*x^2+b*x+a)^(5/2)+9/224/c^2*e^3*b^2*x*(c*x^2+b*x+a)^(5/2)-9/64/c^(5/2)*e^3*b^2*a^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+45/512/c^(7/2)*e^3*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2-21/1024/c^(9/2)*e^3*b^6*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a+3/512*b^6/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d^2*e-1/10*b/c*(c*x^2+b*x+a)^(5/2)*d^2*e-3/512*b^7/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*e^2","B"
1558,1,895,216,0.079000," ","int((2*c*x+b)*(e*x+d)^2*(c*x^2+b*x+a)^(3/2),x)","\frac{a^{3} b \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{3}{2}}}-\frac{a^{3} d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 \sqrt{c}}-\frac{3 a^{2} b^{3} e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{5}{2}}}+\frac{3 a^{2} b^{2} d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{3}{2}}}+\frac{3 a \,b^{5} e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{7}{2}}}-\frac{3 a \,b^{4} d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{5}{2}}}-\frac{b^{7} e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{512 c^{\frac{9}{2}}}+\frac{b^{6} d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{7}{2}}}+\frac{\sqrt{c \,x^{2}+b x +a}\, a^{2} b \,e^{2} x}{8 c}-\frac{\sqrt{c \,x^{2}+b x +a}\, a^{2} d e x}{4}-\frac{\sqrt{c \,x^{2}+b x +a}\, a \,b^{3} e^{2} x}{16 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, a \,b^{2} d e x}{8 c}+\frac{\sqrt{c \,x^{2}+b x +a}\, b^{5} e^{2} x}{128 c^{3}}-\frac{\sqrt{c \,x^{2}+b x +a}\, b^{4} d e x}{64 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, a^{2} b^{2} e^{2}}{16 c^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, a^{2} b d e}{8 c}-\frac{\sqrt{c \,x^{2}+b x +a}\, a \,b^{4} e^{2}}{32 c^{3}}+\frac{\sqrt{c \,x^{2}+b x +a}\, a \,b^{3} d e}{16 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a b \,e^{2} x}{12 c}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a d e x}{6}+\frac{\sqrt{c \,x^{2}+b x +a}\, b^{6} e^{2}}{256 c^{4}}-\frac{\sqrt{c \,x^{2}+b x +a}\, b^{5} d e}{128 c^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{3} e^{2} x}{48 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{2} d e x}{24 c}+\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} e^{2} x^{2}}{7}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a \,b^{2} e^{2}}{24 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a b d e}{12 c}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{4} e^{2}}{96 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{3} d e}{48 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b \,e^{2} x}{21 c}+\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} d e x}{3}-\frac{4 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} a \,e^{2}}{35 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b^{2} e^{2}}{30 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b d e}{15 c}+\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} d^{2}}{5}"," ",0,"1/8/c*e^2*b*a^2*(c*x^2+b*x+a)^(1/2)*x+1/12/c*e^2*b*a*x*(c*x^2+b*x+a)^(3/2)-1/16/c^2*e^2*b^3*(c*x^2+b*x+a)^(1/2)*x*a-1/12*a/c*(c*x^2+b*x+a)^(3/2)*b*d*e-1/8*a^2/c*(c*x^2+b*x+a)^(1/2)*b*d*e+1/8*b^2/c*(c*x^2+b*x+a)^(1/2)*x*a*d*e-1/512/c^(9/2)*e^2*b^7*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/96/c^3*e^2*b^4*(c*x^2+b*x+a)^(3/2)+1/256/c^4*e^2*b^6*(c*x^2+b*x+a)^(1/2)-4/35/c*e^2*a*(c*x^2+b*x+a)^(5/2)+1/30/c^2*e^2*b^2*(c*x^2+b*x+a)^(5/2)+2/3*x*(c*x^2+b*x+a)^(5/2)*d*e+2/7*e^2*x^2*(c*x^2+b*x+a)^(5/2)-1/4*a^3/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*e+2/5*(c*x^2+b*x+a)^(5/2)*d^2+1/256*b^6/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*e-1/6*a*x*(c*x^2+b*x+a)^(3/2)*d*e-1/21/c*e^2*b*x*(c*x^2+b*x+a)^(5/2)-1/48/c^2*e^2*b^3*x*(c*x^2+b*x+a)^(3/2)+1/128/c^3*e^2*b^5*(c*x^2+b*x+a)^(1/2)*x-1/4*a^2*(c*x^2+b*x+a)^(1/2)*x*d*e+1/16*b^3/c^2*(c*x^2+b*x+a)^(1/2)*a*d*e+1/24*b^2/c*x*(c*x^2+b*x+a)^(3/2)*d*e+1/8/c^(3/2)*e^2*b*a^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-3/32/c^(5/2)*e^2*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2+3/128/c^(7/2)*e^2*b^5*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-1/15*b/c*(c*x^2+b*x+a)^(5/2)*d*e+1/48*b^3/c^2*(c*x^2+b*x+a)^(3/2)*d*e-1/128*b^5/c^3*(c*x^2+b*x+a)^(1/2)*d*e+1/24/c^2*e^2*b^2*a*(c*x^2+b*x+a)^(3/2)+1/16/c^2*e^2*b^2*a^2*(c*x^2+b*x+a)^(1/2)-1/32/c^3*e^2*b^4*(c*x^2+b*x+a)^(1/2)*a-1/64*b^4/c^2*(c*x^2+b*x+a)^(1/2)*x*d*e+3/16*b^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2*d*e-3/64*b^4/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*d*e","B"
1559,1,401,138,0.058000," ","int((2*c*x+b)*(e*x+d)*(c*x^2+b*x+a)^(3/2),x)","-\frac{a^{3} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 \sqrt{c}}+\frac{3 a^{2} b^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{3}{2}}}-\frac{3 a \,b^{4} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{5}{2}}}+\frac{b^{6} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{512 c^{\frac{7}{2}}}-\frac{\sqrt{c \,x^{2}+b x +a}\, a^{2} e x}{8}+\frac{\sqrt{c \,x^{2}+b x +a}\, a \,b^{2} e x}{16 c}-\frac{\sqrt{c \,x^{2}+b x +a}\, b^{4} e x}{128 c^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, a^{2} b e}{16 c}+\frac{\sqrt{c \,x^{2}+b x +a}\, a \,b^{3} e}{32 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a e x}{12}-\frac{\sqrt{c \,x^{2}+b x +a}\, b^{5} e}{256 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{2} e x}{48 c}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a b e}{24 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{3} e}{96 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} e x}{3}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b e}{30 c}+\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} d}{5}"," ",0,"-1/8*e*a^2*(c*x^2+b*x+a)^(1/2)*x-1/12*e*a*x*(c*x^2+b*x+a)^(3/2)+1/96/c^2*e*b^3*(c*x^2+b*x+a)^(3/2)-1/256/c^3*e*b^5*(c*x^2+b*x+a)^(1/2)-1/30/c*e*b*(c*x^2+b*x+a)^(5/2)-3/128/c^(5/2)*e*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a+1/16/c*e*b^2*(c*x^2+b*x+a)^(1/2)*x*a+3/32/c^(3/2)*e*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2-1/16/c*e*a^2*(c*x^2+b*x+a)^(1/2)*b-1/8/c^(1/2)*e*a^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/24/c*e*a*(c*x^2+b*x+a)^(3/2)*b+1/512/c^(7/2)*e*b^6*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/128/c^2*e*b^4*(c*x^2+b*x+a)^(1/2)*x+1/32/c^2*e*b^3*(c*x^2+b*x+a)^(1/2)*a+1/48/c*e*b^2*x*(c*x^2+b*x+a)^(3/2)+2/5*(c*x^2+b*x+a)^(5/2)*d+1/3*e*x*(c*x^2+b*x+a)^(5/2)","B"
1560,1,15,14,0.044000," ","int((2*c*x+b)*(c*x^2+b*x+a)^(3/2),x)","\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}}}{5}"," ",0,"2/5*(c*x^2+b*x+a)^(5/2)","A"
1561,1,3119,334,0.061000," ","int((2*c*x+b)*(c*x^2+b*x+a)^(3/2)/(e*x+d),x)","\text{output too large to display}"," ",0,"-6/e^3/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*a*b*d^2*c-4/e^4*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))*c^(3/2)*d^3*b+3/4*c/e*(c*x^2+b*x+a)^(1/2)*x*a+1/4/e*(c*x^2+b*x+a)^(3/2)*b+1/3/e*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*b+2/e^5*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))*c^(5/2)*d^4+3/4*c^(1/2)/e*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2+3/64/c^(3/2)/e*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^4-3/32/c/e*(c*x^2+b*x+a)^(1/2)*b^3-3/16/e*(c*x^2+b*x+a)^(1/2)*x*b^2+1/2*c/e*(c*x^2+b*x+a)^(3/2)*x-1/16/e/c^(3/2)*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))*b^4-2/e^4*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*c^2*d^3+3/8/e*(c*x^2+b*x+a)^(1/2)*b*a+1/8/e/c*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^3-2/3/e^2*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*c*d-3/2/e^2*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2*d+1/e*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*a*b+1/4/e*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b^2+2/e^6/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*c^3*d^5+7/2/e^3*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*d^2*c+3/4/e/c^(1/2)*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))*a*b^2-1/e/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*a^2*b+1/e^3*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*c^2*d^2-1/e^3/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b^3*d^2+3/e^3*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))*c^(3/2)*d^2*a+9/4/e^3*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))*c^(1/2)*b^2*d^2-1/4/e^2/c^(1/2)*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))*b^3*d-3/e^2*c^(1/2)*ln(((x+d/e)*c+1/2*(b*e-2*c*d)/e)/c^(1/2)+((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))*a*b*d+4/e^4/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b^2*d^3*c-1/e^2*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b*c*d+2/e^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*a^2*c*d+4/e^4/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*a*c^2*d^3+2/e^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*a*b^2*d-5/e^5/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b*d^4*c^2-3/8/c^(1/2)/e*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^2*a-2/e^2*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*a*c*d","B"
1562,1,6898,275,0.068000," ","int((2*c*x+b)*(c*x^2+b*x+a)^(3/2)/(e*x+d)^2,x)","\text{output too large to display}"," ",0,"result too large to display","B"
1563,1,10362,281,0.082000," ","int((2*c*x+b)*(c*x^2+b*x+a)^(3/2)/(e*x+d)^3,x)","\text{output too large to display}"," ",0,"result too large to display","B"
1564,1,15982,436,0.087000," ","int((2*c*x+b)*(c*x^2+b*x+a)^(3/2)/(e*x+d)^4,x)","\text{output too large to display}"," ",0,"result too large to display","B"
1565,1,2387,412,0.072000," ","int((2*c*x+b)*(e*x+d)^3*(c*x^2+b*x+a)^(5/2),x)","\frac{3 a^{5} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{3}{2}}}-\frac{45 a^{4} b^{2} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{512 c^{\frac{5}{2}}}+\frac{15 a^{4} b d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{3}{2}}}-\frac{15 a^{4} d^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 \sqrt{c}}+\frac{75 a^{3} b^{4} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{1024 c^{\frac{7}{2}}}-\frac{15 a^{3} b^{3} d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{5}{2}}}+\frac{15 a^{3} b^{2} d^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{3}{2}}}-\frac{105 a^{2} b^{6} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4096 c^{\frac{9}{2}}}+\frac{45 a^{2} b^{5} d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{512 c^{\frac{7}{2}}}-\frac{45 a^{2} b^{4} d^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{512 c^{\frac{5}{2}}}+\frac{135 a \,b^{8} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32768 c^{\frac{11}{2}}}-\frac{15 a \,b^{7} d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{1024 c^{\frac{9}{2}}}+\frac{15 a \,b^{6} d^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{1024 c^{\frac{7}{2}}}-\frac{33 b^{10} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{131072 c^{\frac{13}{2}}}+\frac{15 b^{9} d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16384 c^{\frac{11}{2}}}-\frac{15 b^{8} d^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16384 c^{\frac{9}{2}}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, a^{4} e^{3} x}{128 c}-\frac{21 \sqrt{c \,x^{2}+b x +a}\, a^{3} b^{2} e^{3} x}{256 c^{2}}+\frac{15 \sqrt{c \,x^{2}+b x +a}\, a^{3} b d \,e^{2} x}{64 c}-\frac{15 \sqrt{c \,x^{2}+b x +a}\, a^{3} d^{2} e x}{64}+\frac{27 \sqrt{c \,x^{2}+b x +a}\, a^{2} b^{4} e^{3} x}{512 c^{3}}-\frac{45 \sqrt{c \,x^{2}+b x +a}\, a^{2} b^{3} d \,e^{2} x}{256 c^{2}}+\frac{45 \sqrt{c \,x^{2}+b x +a}\, a^{2} b^{2} d^{2} e x}{256 c}-\frac{51 \sqrt{c \,x^{2}+b x +a}\, a \,b^{6} e^{3} x}{4096 c^{4}}+\frac{45 \sqrt{c \,x^{2}+b x +a}\, a \,b^{5} d \,e^{2} x}{1024 c^{3}}-\frac{45 \sqrt{c \,x^{2}+b x +a}\, a \,b^{4} d^{2} e x}{1024 c^{2}}+\frac{33 \sqrt{c \,x^{2}+b x +a}\, b^{8} e^{3} x}{32768 c^{5}}-\frac{15 \sqrt{c \,x^{2}+b x +a}\, b^{7} d \,e^{2} x}{4096 c^{4}}+\frac{15 \sqrt{c \,x^{2}+b x +a}\, b^{6} d^{2} e x}{4096 c^{3}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, a^{4} b \,e^{3}}{256 c^{2}}-\frac{21 \sqrt{c \,x^{2}+b x +a}\, a^{3} b^{3} e^{3}}{512 c^{3}}+\frac{15 \sqrt{c \,x^{2}+b x +a}\, a^{3} b^{2} d \,e^{2}}{128 c^{2}}-\frac{15 \sqrt{c \,x^{2}+b x +a}\, a^{3} b \,d^{2} e}{128 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{3} e^{3} x}{64 c}+\frac{27 \sqrt{c \,x^{2}+b x +a}\, a^{2} b^{5} e^{3}}{1024 c^{4}}-\frac{45 \sqrt{c \,x^{2}+b x +a}\, a^{2} b^{4} d \,e^{2}}{512 c^{3}}+\frac{45 \sqrt{c \,x^{2}+b x +a}\, a^{2} b^{3} d^{2} e}{512 c^{2}}-\frac{13 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{2} b^{2} e^{3} x}{256 c^{2}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{2} b d \,e^{2} x}{32 c}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{2} d^{2} e x}{32}-\frac{51 \sqrt{c \,x^{2}+b x +a}\, a \,b^{7} e^{3}}{8192 c^{5}}+\frac{45 \sqrt{c \,x^{2}+b x +a}\, a \,b^{6} d \,e^{2}}{2048 c^{4}}-\frac{45 \sqrt{c \,x^{2}+b x +a}\, a \,b^{5} d^{2} e}{2048 c^{3}}+\frac{23 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a \,b^{4} e^{3} x}{1024 c^{3}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a \,b^{3} d \,e^{2} x}{64 c^{2}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a \,b^{2} d^{2} e x}{64 c}+\frac{33 \sqrt{c \,x^{2}+b x +a}\, b^{9} e^{3}}{65536 c^{6}}-\frac{15 \sqrt{c \,x^{2}+b x +a}\, b^{8} d \,e^{2}}{8192 c^{5}}+\frac{15 \sqrt{c \,x^{2}+b x +a}\, b^{7} d^{2} e}{8192 c^{4}}-\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{6} e^{3} x}{4096 c^{4}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{5} d \,e^{2} x}{512 c^{3}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{4} d^{2} e x}{512 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} e^{3} x^{3}}{5}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{3} b \,e^{3}}{128 c^{2}}-\frac{13 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{2} b^{3} e^{3}}{512 c^{3}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{2} b^{2} d \,e^{2}}{64 c^{2}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{2} b \,d^{2} e}{64 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} a^{2} e^{3} x}{80 c}+\frac{23 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a \,b^{5} e^{3}}{2048 c^{4}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a \,b^{4} d \,e^{2}}{128 c^{3}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a \,b^{3} d^{2} e}{128 c^{2}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} a \,b^{2} e^{3} x}{80 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} a b d \,e^{2} x}{8 c}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} a \,d^{2} e x}{8}-\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{7} e^{3}}{8192 c^{5}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{6} d \,e^{2}}{1024 c^{4}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{5} d^{2} e}{1024 c^{3}}+\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b^{4} e^{3} x}{1280 c^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b^{3} d \,e^{2} x}{32 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b^{2} d^{2} e x}{32 c}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} b \,e^{3} x^{2}}{30 c}+\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} d \,e^{2} x^{2}}{3}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} a^{2} b \,e^{3}}{160 c^{2}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} a \,b^{3} e^{3}}{160 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} a \,b^{2} d \,e^{2}}{16 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} a b \,d^{2} e}{16 c}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} a \,e^{3} x}{40 c}+\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b^{5} e^{3}}{2560 c^{4}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b^{4} d \,e^{2}}{64 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b^{3} d^{2} e}{64 c^{2}}+\frac{11 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} b^{2} e^{3} x}{480 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} b d \,e^{2} x}{12 c}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} d^{2} e x}{4}+\frac{97 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} a b \,e^{3}}{1680 c^{2}}-\frac{4 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} a d \,e^{2}}{21 c}-\frac{33 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} b^{3} e^{3}}{2240 c^{3}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} b^{2} d \,e^{2}}{56 c^{2}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} b \,d^{2} e}{56 c}+\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} d^{3}}{7}"," ",0,"2/3*x^2*(c*x^2+b*x+a)^(7/2)*d*e^2+33/65536/c^6*e^3*b^9*(c*x^2+b*x+a)^(1/2)-33/2240/c^3*e^3*b^3*(c*x^2+b*x+a)^(7/2)+11/2560/c^4*e^3*b^5*(c*x^2+b*x+a)^(5/2)-11/8192/c^5*e^3*b^7*(c*x^2+b*x+a)^(3/2)+3/4*x*(c*x^2+b*x+a)^(7/2)*d^2*e-33/131072/c^(13/2)*e^3*b^10*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/128/c^(3/2)*e^3*a^5*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/5*e^3*x^3*(c*x^2+b*x+a)^(7/2)+1/16*b^2/c^2*a*(c*x^2+b*x+a)^(5/2)*d*e^2-1/12*b/c*x*(c*x^2+b*x+a)^(7/2)*d*e^2+2/7*(c*x^2+b*x+a)^(7/2)*d^3-13/256/c^2*e^3*b^2*a^2*(c*x^2+b*x+a)^(3/2)*x-3/80/c^2*e^3*b^2*a*x*(c*x^2+b*x+a)^(5/2)-51/4096/c^4*e^3*b^6*(c*x^2+b*x+a)^(1/2)*x*a+23/1024/c^3*e^3*b^4*(c*x^2+b*x+a)^(3/2)*x*a-21/256/c^2*e^3*b^2*a^3*(c*x^2+b*x+a)^(1/2)*x+75/1024/c^(7/2)*e^3*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^3+15/16384*b^9/c^(11/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*e^2+15/128*b^2/c^2*a^3*(c*x^2+b*x+a)^(1/2)*d*e^2-45/512*b^4/c^3*(c*x^2+b*x+a)^(1/2)*a^2*d*e^2+27/512/c^3*e^3*b^4*(c*x^2+b*x+a)^(1/2)*x*a^2+15/64*b/c^(3/2)*a^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*e^2-15/1024*b^7/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*d*e^2-15/128*a^3/c*(c*x^2+b*x+a)^(1/2)*b*d^2*e-5/512*b^4/c^2*(c*x^2+b*x+a)^(3/2)*x*d^2*e+5/128*b^3/c^2*(c*x^2+b*x+a)^(3/2)*a*d^2*e+15/64*b^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^3*d^2*e-1/16*a/c*(c*x^2+b*x+a)^(5/2)*b*d^2*e-5/64*a^2/c*(c*x^2+b*x+a)^(3/2)*b*d^2*e+1/32*b^2/c*x*(c*x^2+b*x+a)^(5/2)*d^2*e+15/4096*b^6/c^3*(c*x^2+b*x+a)^(1/2)*x*d^2*e+45/512*b^5/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2*d*e^2+5/512*b^5/c^3*(c*x^2+b*x+a)^(3/2)*x*d*e^2-5/128*b^4/c^3*(c*x^2+b*x+a)^(3/2)*a*d*e^2+45/2048*b^6/c^4*(c*x^2+b*x+a)^(1/2)*a*d*e^2-15/4096*b^7/c^4*(c*x^2+b*x+a)^(1/2)*x*d*e^2-1/32*b^3/c^2*x*(c*x^2+b*x+a)^(5/2)*d*e^2+5/64*b^2/c^2*a^2*(c*x^2+b*x+a)^(3/2)*d*e^2-15/64*b^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^3*d*e^2-45/512*b^4/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2*d^2*e+15/1024*b^6/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*d^2*e+45/512*b^3/c^2*(c*x^2+b*x+a)^(1/2)*a^2*d^2*e-45/2048*b^5/c^3*(c*x^2+b*x+a)^(1/2)*a*d^2*e-21/512/c^3*e^3*b^3*a^3*(c*x^2+b*x+a)^(1/2)+27/1024/c^4*e^3*b^5*(c*x^2+b*x+a)^(1/2)*a^2-51/8192/c^5*e^3*b^7*(c*x^2+b*x+a)^(1/2)*a-11/4096/c^4*e^3*b^6*(c*x^2+b*x+a)^(3/2)*x+11/1280/c^3*e^3*b^4*x*(c*x^2+b*x+a)^(5/2)-15/64*a^4/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d^2*e-15/16384*b^8/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d^2*e-15/64*a^3*(c*x^2+b*x+a)^(1/2)*x*d^2*e-5/32*a^2*(c*x^2+b*x+a)^(3/2)*x*d^2*e-1/8*a*x*(c*x^2+b*x+a)^(5/2)*d^2*e-15/8192*b^8/c^5*(c*x^2+b*x+a)^(1/2)*d*e^2+3/56*b^2/c^2*(c*x^2+b*x+a)^(7/2)*d*e^2-1/64*b^4/c^3*(c*x^2+b*x+a)^(5/2)*d*e^2+5/1024*b^6/c^4*(c*x^2+b*x+a)^(3/2)*d*e^2-4/21*a/c*(c*x^2+b*x+a)^(7/2)*d*e^2+1/64*b^3/c^2*(c*x^2+b*x+a)^(5/2)*d^2*e-5/1024*b^5/c^3*(c*x^2+b*x+a)^(3/2)*d^2*e+15/8192*b^7/c^4*(c*x^2+b*x+a)^(1/2)*d^2*e-3/56*b/c*(c*x^2+b*x+a)^(7/2)*d^2*e+97/1680/c^2*e^3*b*a*(c*x^2+b*x+a)^(7/2)-3/40/c*e^3*a*x*(c*x^2+b*x+a)^(7/2)+1/80/c*e^3*a^2*x*(c*x^2+b*x+a)^(5/2)+1/160/c^2*e^3*a^2*(c*x^2+b*x+a)^(5/2)*b+1/64/c*e^3*a^3*(c*x^2+b*x+a)^(3/2)*x+1/128/c^2*e^3*a^3*(c*x^2+b*x+a)^(3/2)*b+3/128/c*e^3*a^4*(c*x^2+b*x+a)^(1/2)*x+3/256/c^2*e^3*a^4*(c*x^2+b*x+a)^(1/2)*b+11/480/c^2*e^3*b^2*x*(c*x^2+b*x+a)^(7/2)-1/30/c*e^3*b*x^2*(c*x^2+b*x+a)^(7/2)-3/160/c^3*e^3*b^3*a*(c*x^2+b*x+a)^(5/2)-13/512/c^3*e^3*b^3*a^2*(c*x^2+b*x+a)^(3/2)+135/32768/c^(11/2)*e^3*b^8*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-105/4096/c^(9/2)*e^3*b^6*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2-45/512/c^(5/2)*e^3*b^2*a^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+23/2048/c^4*e^3*b^5*(c*x^2+b*x+a)^(3/2)*a+33/32768/c^5*e^3*b^8*(c*x^2+b*x+a)^(1/2)*x+5/64*b^2/c*(c*x^2+b*x+a)^(3/2)*x*a*d^2*e+45/256*b^2/c*(c*x^2+b*x+a)^(1/2)*x*a^2*d^2*e-5/64*b^3/c^2*(c*x^2+b*x+a)^(3/2)*x*a*d*e^2+1/8*b/c*a*x*(c*x^2+b*x+a)^(5/2)*d*e^2-45/1024*b^4/c^2*(c*x^2+b*x+a)^(1/2)*x*a*d^2*e+15/64*b/c*a^3*(c*x^2+b*x+a)^(1/2)*x*d*e^2+5/32*b/c*a^2*(c*x^2+b*x+a)^(3/2)*x*d*e^2-45/256*b^3/c^2*(c*x^2+b*x+a)^(1/2)*x*a^2*d*e^2+45/1024*b^5/c^3*(c*x^2+b*x+a)^(1/2)*x*a*d*e^2","B"
1566,1,1358,259,0.065000," ","int((2*c*x+b)*(e*x+d)^2*(c*x^2+b*x+a)^(5/2),x)","\frac{5 a^{4} b \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{3}{2}}}-\frac{5 a^{4} d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 \sqrt{c}}-\frac{5 a^{3} b^{3} e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{5}{2}}}+\frac{5 a^{3} b^{2} d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{3}{2}}}+\frac{15 a^{2} b^{5} e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{512 c^{\frac{7}{2}}}-\frac{15 a^{2} b^{4} d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{5}{2}}}-\frac{5 a \,b^{7} e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{1024 c^{\frac{9}{2}}}+\frac{5 a \,b^{6} d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{512 c^{\frac{7}{2}}}+\frac{5 b^{9} e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16384 c^{\frac{11}{2}}}-\frac{5 b^{8} d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8192 c^{\frac{9}{2}}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, a^{3} b \,e^{2} x}{64 c}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, a^{3} d e x}{32}-\frac{15 \sqrt{c \,x^{2}+b x +a}\, a^{2} b^{3} e^{2} x}{256 c^{2}}+\frac{15 \sqrt{c \,x^{2}+b x +a}\, a^{2} b^{2} d e x}{128 c}+\frac{15 \sqrt{c \,x^{2}+b x +a}\, a \,b^{5} e^{2} x}{1024 c^{3}}-\frac{15 \sqrt{c \,x^{2}+b x +a}\, a \,b^{4} d e x}{512 c^{2}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{7} e^{2} x}{4096 c^{4}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{6} d e x}{2048 c^{3}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, a^{3} b^{2} e^{2}}{128 c^{2}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, a^{3} b d e}{64 c}-\frac{15 \sqrt{c \,x^{2}+b x +a}\, a^{2} b^{4} e^{2}}{512 c^{3}}+\frac{15 \sqrt{c \,x^{2}+b x +a}\, a^{2} b^{3} d e}{256 c^{2}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{2} b \,e^{2} x}{96 c}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{2} d e x}{48}+\frac{15 \sqrt{c \,x^{2}+b x +a}\, a \,b^{6} e^{2}}{2048 c^{4}}-\frac{15 \sqrt{c \,x^{2}+b x +a}\, a \,b^{5} d e}{1024 c^{3}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a \,b^{3} e^{2} x}{192 c^{2}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a \,b^{2} d e x}{96 c}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{8} e^{2}}{8192 c^{5}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{7} d e}{4096 c^{4}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{5} e^{2} x}{1536 c^{3}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{4} d e x}{768 c^{2}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{2} b^{2} e^{2}}{192 c^{2}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{2} b d e}{96 c}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a \,b^{4} e^{2}}{384 c^{3}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a \,b^{3} d e}{192 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} a b \,e^{2} x}{24 c}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} a d e x}{12}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{6} e^{2}}{3072 c^{4}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{5} d e}{1536 c^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b^{3} e^{2} x}{96 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b^{2} d e x}{48 c}+\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} e^{2} x^{2}}{9}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} a \,b^{2} e^{2}}{48 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} a b d e}{24 c}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b^{4} e^{2}}{192 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b^{3} d e}{96 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} b \,e^{2} x}{36 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} d e x}{2}-\frac{4 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} a \,e^{2}}{63 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} b^{2} e^{2}}{56 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} b d e}{28 c}+\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} d^{2}}{7}"," ",0,"-5/64*a^3/c*(c*x^2+b*x+a)^(1/2)*b*d*e-5/96*a^2/c*(c*x^2+b*x+a)^(3/2)*b*d*e+5/32*b^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^3*d*e+5/512*b^6/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*d*e+2/9*e^2*x^2*(c*x^2+b*x+a)^(7/2)+2/7*(c*x^2+b*x+a)^(7/2)*d^2+15/128*b^2/c*(c*x^2+b*x+a)^(1/2)*x*a^2*d*e+5/96*b^2/c*(c*x^2+b*x+a)^(3/2)*x*a*d*e-15/512*b^4/c^2*(c*x^2+b*x+a)^(1/2)*x*a*d*e+1/2*x*(c*x^2+b*x+a)^(7/2)*d*e+5/3072/c^4*e^2*b^6*(c*x^2+b*x+a)^(3/2)-5/8192/c^5*e^2*b^8*(c*x^2+b*x+a)^(1/2)-1/192/c^3*e^2*b^4*(c*x^2+b*x+a)^(5/2)+1/56/c^2*e^2*b^2*(c*x^2+b*x+a)^(7/2)-4/63/c*e^2*a*(c*x^2+b*x+a)^(7/2)+5/16384/c^(11/2)*e^2*b^9*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-15/256*b^4/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2*d*e+5/64/c*e^2*b*a^3*(c*x^2+b*x+a)^(1/2)*x+5/96/c*e^2*b*a^2*(c*x^2+b*x+a)^(3/2)*x+5/64/c^(3/2)*e^2*b*a^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-5/1024/c^(9/2)*e^2*b^7*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a+5/192*b^3/c^2*(c*x^2+b*x+a)^(3/2)*a*d*e-1/24*a/c*(c*x^2+b*x+a)^(5/2)*b*d*e+15/256*b^3/c^2*(c*x^2+b*x+a)^(1/2)*a^2*d*e+5/2048*b^6/c^3*(c*x^2+b*x+a)^(1/2)*x*d*e-5/768*b^4/c^2*(c*x^2+b*x+a)^(3/2)*x*d*e+1/48*b^2/c*x*(c*x^2+b*x+a)^(5/2)*d*e+5/128/c^2*e^2*b^2*a^3*(c*x^2+b*x+a)^(1/2)+5/1536/c^3*e^2*b^5*(c*x^2+b*x+a)^(3/2)*x-5/384/c^3*e^2*b^4*(c*x^2+b*x+a)^(3/2)*a-5/4096/c^4*e^2*b^7*(c*x^2+b*x+a)^(1/2)*x+15/512/c^(7/2)*e^2*b^5*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2-5/64/c^(5/2)*e^2*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^3-5/32*a^4/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*e-5/8192*b^8/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*e-1/12*a*x*(c*x^2+b*x+a)^(5/2)*d*e-5/48*a^2*(c*x^2+b*x+a)^(3/2)*x*d*e-15/256/c^2*e^2*b^3*(c*x^2+b*x+a)^(1/2)*x*a^2+15/1024/c^3*e^2*b^5*(c*x^2+b*x+a)^(1/2)*x*a+1/24/c*e^2*b*a*x*(c*x^2+b*x+a)^(5/2)-15/1024*b^5/c^3*(c*x^2+b*x+a)^(1/2)*a*d*e-5/192/c^2*e^2*b^3*(c*x^2+b*x+a)^(3/2)*x*a-15/512/c^3*e^2*b^4*(c*x^2+b*x+a)^(1/2)*a^2+15/2048/c^4*e^2*b^6*(c*x^2+b*x+a)^(1/2)*a-1/96/c^2*e^2*b^3*x*(c*x^2+b*x+a)^(5/2)-1/36/c*e^2*b*x*(c*x^2+b*x+a)^(7/2)+1/48/c^2*e^2*b^2*a*(c*x^2+b*x+a)^(5/2)+5/192/c^2*e^2*b^2*a^2*(c*x^2+b*x+a)^(3/2)-5/32*a^3*(c*x^2+b*x+a)^(1/2)*x*d*e-5/1536*b^5/c^3*(c*x^2+b*x+a)^(3/2)*d*e+5/4096*b^7/c^4*(c*x^2+b*x+a)^(1/2)*d*e+1/96*b^3/c^2*(c*x^2+b*x+a)^(5/2)*d*e-1/28*b/c*(c*x^2+b*x+a)^(7/2)*d*e","B"
1567,1,616,172,0.057000," ","int((2*c*x+b)*(e*x+d)*(c*x^2+b*x+a)^(5/2),x)","-\frac{5 a^{4} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 \sqrt{c}}+\frac{5 a^{3} b^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{3}{2}}}-\frac{15 a^{2} b^{4} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{512 c^{\frac{5}{2}}}+\frac{5 a \,b^{6} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{1024 c^{\frac{7}{2}}}-\frac{5 b^{8} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16384 c^{\frac{9}{2}}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, a^{3} e x}{64}+\frac{15 \sqrt{c \,x^{2}+b x +a}\, a^{2} b^{2} e x}{256 c}-\frac{15 \sqrt{c \,x^{2}+b x +a}\, a \,b^{4} e x}{1024 c^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{6} e x}{4096 c^{3}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, a^{3} b e}{128 c}+\frac{15 \sqrt{c \,x^{2}+b x +a}\, a^{2} b^{3} e}{512 c^{2}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{2} e x}{96}-\frac{15 \sqrt{c \,x^{2}+b x +a}\, a \,b^{5} e}{2048 c^{3}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a \,b^{2} e x}{192 c}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{7} e}{8192 c^{4}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{4} e x}{1536 c^{2}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a^{2} b e}{192 c}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a \,b^{3} e}{384 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} a e x}{24}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{5} e}{3072 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b^{2} e x}{96 c}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} a b e}{48 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b^{3} e}{192 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} e x}{4}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} b e}{56 c}+\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} d}{7}"," ",0,"5/4096/c^3*e*b^6*(c*x^2+b*x+a)^(1/2)*x-15/1024/c^2*e*b^4*(c*x^2+b*x+a)^(1/2)*x*a+5/192/c*e*b^2*(c*x^2+b*x+a)^(3/2)*x*a+15/256/c*e*b^2*(c*x^2+b*x+a)^(1/2)*x*a^2+5/64/c^(3/2)*e*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^3-5/192/c*e*a^2*(c*x^2+b*x+a)^(3/2)*b-5/1536/c^2*e*b^4*(c*x^2+b*x+a)^(3/2)*x-15/2048/c^3*e*b^5*(c*x^2+b*x+a)^(1/2)*a+1/96/c*e*b^2*x*(c*x^2+b*x+a)^(5/2)-5/128/c*e*a^3*(c*x^2+b*x+a)^(1/2)*b-1/48/c*e*a*(c*x^2+b*x+a)^(5/2)*b+15/512/c^2*e*b^3*(c*x^2+b*x+a)^(1/2)*a^2+5/384/c^2*e*b^3*(c*x^2+b*x+a)^(3/2)*a-15/512/c^(5/2)*e*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2+5/1024/c^(7/2)*e*b^6*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a+2/7*(c*x^2+b*x+a)^(7/2)*d+1/4*e*x*(c*x^2+b*x+a)^(7/2)-1/56/c*e*b*(c*x^2+b*x+a)^(7/2)+1/192/c^2*e*b^3*(c*x^2+b*x+a)^(5/2)+5/8192/c^4*e*b^7*(c*x^2+b*x+a)^(1/2)-5/3072/c^3*e*b^5*(c*x^2+b*x+a)^(3/2)-5/96*e*a^2*(c*x^2+b*x+a)^(3/2)*x-5/64*e*a^3*(c*x^2+b*x+a)^(1/2)*x-1/24*e*a*x*(c*x^2+b*x+a)^(5/2)-5/16384/c^(9/2)*e*b^8*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-5/64/c^(1/2)*e*a^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))","B"
1568,1,15,14,0.049000," ","int((2*c*x+b)*(c*x^2+b*x+a)^(5/2),x)","\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}}}{7}"," ",0,"2/7*(c*x^2+b*x+a)^(7/2)","A"
1569,1,6077,597,0.061000," ","int((2*c*x+b)*(c*x^2+b*x+a)^(5/2)/(e*x+d),x)","\text{output too large to display}"," ",0,"result too large to display","B"
1570,1,13167,476,0.066000," ","int((2*c*x+b)*(c*x^2+b*x+a)^(5/2)/(e*x+d)^2,x)","\text{output too large to display}"," ",0,"result too large to display","B"
1571,1,18705,432,0.077000," ","int((2*c*x+b)*(c*x^2+b*x+a)^(5/2)/(e*x+d)^3,x)","\text{output too large to display}"," ",0,"result too large to display","B"
1572,1,28593,441,0.319000," ","int((2*c*x+b)*(c*x^2+b*x+a)^(5/2)/(e*x+d)^4,x)","\text{output too large to display}"," ",0,"result too large to display","B"
1573,1,539,223,0.069000," ","int((2*c*x+b)*(e*x+d)^3/(c*x^2+b*x+a)^(1/2),x)","\frac{\sqrt{c \,x^{2}+b x +a}\, e^{3} x^{3}}{2}-\frac{\sqrt{c \,x^{2}+b x +a}\, b \,e^{3} x^{2}}{4 c}+2 \sqrt{c \,x^{2}+b x +a}\, d \,e^{2} x^{2}+\frac{3 a^{2} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{3}{2}}}-\frac{9 a \,b^{2} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}+\frac{3 a b d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}-\frac{3 a \,d^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}}+\frac{15 b^{4} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{7}{2}}}-\frac{3 b^{3} d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{5}{2}}}+\frac{3 b^{2} d^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{3}{2}}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, a \,e^{3} x}{4 c}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{2} e^{3} x}{16 c^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, b d \,e^{2} x}{c}+3 \sqrt{c \,x^{2}+b x +a}\, d^{2} e x +\frac{13 \sqrt{c \,x^{2}+b x +a}\, a b \,e^{3}}{8 c^{2}}-\frac{4 \sqrt{c \,x^{2}+b x +a}\, a d \,e^{2}}{c}-\frac{15 \sqrt{c \,x^{2}+b x +a}\, b^{3} e^{3}}{32 c^{3}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, b^{2} d \,e^{2}}{2 c^{2}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, b \,d^{2} e}{2 c}+2 \sqrt{c \,x^{2}+b x +a}\, d^{3}"," ",0,"-3*a/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d^2*e+3/4*b^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d^2*e+2*(c*x^2+b*x+a)^(1/2)*d^3-3/4*b^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*e^2-b/c*x*(c*x^2+b*x+a)^(1/2)*d*e^2-9/8/c^(5/2)*e^3*b^2*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-15/32/c^3*e^3*b^3*(c*x^2+b*x+a)^(1/2)+13/8/c^2*e^3*b*a*(c*x^2+b*x+a)^(1/2)-3/4/c*e^3*a*x*(c*x^2+b*x+a)^(1/2)+3/4/c^(3/2)*e^3*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-3/2*b/c*(c*x^2+b*x+a)^(1/2)*d^2*e+2*x^2*(c*x^2+b*x+a)^(1/2)*d*e^2+3*x*(c*x^2+b*x+a)^(1/2)*d^2*e+5/16/c^2*e^3*b^2*x*(c*x^2+b*x+a)^(1/2)+15/64/c^(7/2)*e^3*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/4/c*e^3*b*x^2*(c*x^2+b*x+a)^(1/2)+1/2*e^3*x^3*(c*x^2+b*x+a)^(1/2)-4*a/c*(c*x^2+b*x+a)^(1/2)*d*e^2+3/2*b^2/c^2*(c*x^2+b*x+a)^(1/2)*d*e^2+3*b/c^(3/2)*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*e^2","B"
1574,1,280,130,0.063000," ","int((2*c*x+b)*(e*x+d)^2/(c*x^2+b*x+a)^(1/2),x)","\frac{2 \sqrt{c \,x^{2}+b x +a}\, e^{2} x^{2}}{3}+\frac{a b \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}-\frac{2 a d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}}-\frac{b^{3} e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{5}{2}}}+\frac{b^{2} d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}-\frac{\sqrt{c \,x^{2}+b x +a}\, b \,e^{2} x}{3 c}+2 \sqrt{c \,x^{2}+b x +a}\, d e x -\frac{4 \sqrt{c \,x^{2}+b x +a}\, a \,e^{2}}{3 c}+\frac{\sqrt{c \,x^{2}+b x +a}\, b^{2} e^{2}}{2 c^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, b d e}{c}+2 \sqrt{c \,x^{2}+b x +a}\, d^{2}"," ",0,"2/3*e^2*x^2*(c*x^2+b*x+a)^(1/2)-1/3/c*e^2*b*x*(c*x^2+b*x+a)^(1/2)+1/2/c^2*e^2*b^2*(c*x^2+b*x+a)^(1/2)-1/4/c^(5/2)*e^2*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/c^(3/2)*e^2*b*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-4/3/c*e^2*a*(c*x^2+b*x+a)^(1/2)+2*x*(c*x^2+b*x+a)^(1/2)*d*e-b/c*(c*x^2+b*x+a)^(1/2)*d*e+1/2*b^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*e-2*a/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*e+2*(c*x^2+b*x+a)^(1/2)*d^2","B"
1575,1,117,70,0.054000," ","int((2*c*x+b)*(e*x+d)/(c*x^2+b*x+a)^(1/2),x)","-\frac{a e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}}+\frac{b^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{3}{2}}}+\sqrt{c \,x^{2}+b x +a}\, e x -\frac{\sqrt{c \,x^{2}+b x +a}\, b e}{2 c}+2 \sqrt{c \,x^{2}+b x +a}\, d"," ",0,"e*x*(c*x^2+b*x+a)^(1/2)-1/2/c*e*b*(c*x^2+b*x+a)^(1/2)+1/4/c^(3/2)*e*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/c^(1/2)*e*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+2*(c*x^2+b*x+a)^(1/2)*d","A"
1576,1,15,14,0.048000," ","int((2*c*x+b)/(c*x^2+b*x+a)^(1/2),x)","2 \sqrt{c \,x^{2}+b x +a}"," ",0,"2*(c*x^2+b*x+a)^(1/2)","A"
1577,1,350,117,0.056000," ","int((2*c*x+b)/(e*x+d)/(c*x^2+b*x+a)^(1/2),x)","-\frac{b \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e}+\frac{2 c d \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e^{2}}+\frac{2 \sqrt{c}\, \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{e}"," ",0,"2*c^(1/2)/e*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/e/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b+2/e^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*c*d","B"
1578,1,860,129,0.062000," ","int((2*c*x+b)/(e*x+d)^2/(c*x^2+b*x+a)^(1/2),x)","\frac{b^{2} \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{2 b c d \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e}+\frac{2 c^{2} d^{2} \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e^{2}}-\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, b}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(x +\frac{d}{e}\right)}+\frac{2 \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, c d}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(x +\frac{d}{e}\right) e}-\frac{2 c \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e^{2}}"," ",0,"-1/(a*e^2-b*d*e+c*d^2)/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b+2/e/(a*e^2-b*d*e+c*d^2)/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*c*d+1/2/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b^2-2/e/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b*c*d+2/e^2/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*c^2*d^2-2*c/e^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))","B"
1579,1,1588,207,0.064000," ","int((2*c*x+b)/(e*x+d)^3/(c*x^2+b*x+a)^(1/2),x)","-\frac{3 b^{3} e \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{8 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{9 b^{2} c d \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{4 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{9 b \,c^{2} d^{2} \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e}+\frac{3 c^{3} d^{3} \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e^{2}}+\frac{3 \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, b^{2} e}{4 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(x +\frac{d}{e}\right)}-\frac{3 \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, b c d}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(x +\frac{d}{e}\right)}+\frac{3 \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, c^{2} d^{2}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(x +\frac{d}{e}\right) e}+\frac{3 b c \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e}-\frac{3 c^{2} d \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e^{2}}-\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, b}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(x +\frac{d}{e}\right)^{2} e}+\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, c d}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(x +\frac{d}{e}\right)^{2} e^{2}}-\frac{2 \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, c}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(x +\frac{d}{e}\right) e}"," ",0,"-2*c/e/(a*e^2-b*d*e+c*d^2)/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)+3/2*c/e/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b-3*c^2/e^2/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*d-1/2/e/(a*e^2-b*d*e+c*d^2)/(x+d/e)^2*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b+1/e^2/(a*e^2-b*d*e+c*d^2)/(x+d/e)^2*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*c*d+3/4*e/(a*e^2-b*d*e+c*d^2)^2/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2-3/(a*e^2-b*d*e+c*d^2)^2/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*c*d+3/e/(a*e^2-b*d*e+c*d^2)^2/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*c^2*d^2-3/8*e/(a*e^2-b*d*e+c*d^2)^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b^3+9/4/(a*e^2-b*d*e+c*d^2)^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b^2*c*d-9/2/e/(a*e^2-b*d*e+c*d^2)^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b*c^2*d^2+3/e^2/(a*e^2-b*d*e+c*d^2)^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*c^3*d^3","B"
1580,1,2659,306,0.078000," ","int((2*c*x+b)/(e*x+d)^4/(c*x^2+b*x+a)^(1/2),x)","\frac{5 b^{4} e^{2} \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{16 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{5 b^{3} c d e \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{15 b^{2} c^{2} d^{2} \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{10 b \,c^{3} d^{3} \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e}+\frac{5 c^{4} d^{4} \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e^{2}}-\frac{5 \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, b^{3} e^{2}}{8 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \left(x +\frac{d}{e}\right)}+\frac{15 \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, b^{2} c d e}{4 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \left(x +\frac{d}{e}\right)}-\frac{15 \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, b \,c^{2} d^{2}}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \left(x +\frac{d}{e}\right)}+\frac{5 \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, c^{3} d^{3}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \left(x +\frac{d}{e}\right) e}-\frac{3 b^{2} c \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{6 b \,c^{2} d \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e}-\frac{6 c^{3} d^{2} \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e^{2}}+\frac{5 \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, b^{2}}{12 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(x +\frac{d}{e}\right)^{2}}-\frac{5 \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, b c d}{3 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(x +\frac{d}{e}\right)^{2} e}+\frac{13 \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, b c}{6 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(x +\frac{d}{e}\right)}+\frac{5 \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, c^{2} d^{2}}{3 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(x +\frac{d}{e}\right)^{2} e^{2}}-\frac{13 \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, c^{2} d}{3 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(x +\frac{d}{e}\right) e}+\frac{c^{2} \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e^{2}}-\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, b}{3 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(x +\frac{d}{e}\right)^{3} e^{2}}+\frac{2 \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, c d}{3 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(x +\frac{d}{e}\right)^{3} e^{3}}-\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, c}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(x +\frac{d}{e}\right)^{2} e^{2}}"," ",0,"5/e^2/(a*e^2-b*d*e+c*d^2)^3/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*c^4*d^4-6/e^2/(a*e^2-b*d*e+c*d^2)^2*c^3/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*d^2-13/3/e/(a*e^2-b*d*e+c*d^2)^2*c^2/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*d+5/3/e^2/(a*e^2-b*d*e+c*d^2)^2/(x+d/e)^2*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*c^2*d^2+5/e/(a*e^2-b*d*e+c*d^2)^3/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*c^3*d^3+2/3/e^3/(a*e^2-b*d*e+c*d^2)/(x+d/e)^3*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*c*d-15/2/(a*e^2-b*d*e+c*d^2)^3/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*c^2*d^2+15/2/(a*e^2-b*d*e+c*d^2)^3/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b^2*c^2*d^2+5/12/(a*e^2-b*d*e+c*d^2)^2/(x+d/e)^2*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2-c/e^2/(a*e^2-b*d*e+c*d^2)/(x+d/e)^2*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)+c^2/e^2/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))-3/2/(a*e^2-b*d*e+c*d^2)^2*c/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b^2+13/6/(a*e^2-b*d*e+c*d^2)^2*c/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b-1/3/e^2/(a*e^2-b*d*e+c*d^2)/(x+d/e)^3*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b-5/8*e^2/(a*e^2-b*d*e+c*d^2)^3/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^3+5/16*e^2/(a*e^2-b*d*e+c*d^2)^3/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b^4-5/2*e/(a*e^2-b*d*e+c*d^2)^3/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b^3*c*d+15/4*e/(a*e^2-b*d*e+c*d^2)^3/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2*c*d-5/3/e/(a*e^2-b*d*e+c*d^2)^2/(x+d/e)^2*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*c*d-10/e/(a*e^2-b*d*e+c*d^2)^3/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b*c^3*d^3+6/e/(a*e^2-b*d*e+c*d^2)^2*c^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b*d","B"
1581,1,1320,182,0.066000," ","int((2*c*x+b)*(e*x+d)^4/(c*x^2+b*x+a)^(3/2),x)","\frac{2 e^{4} x^{4}}{3 \sqrt{c \,x^{2}+b x +a}}-\frac{32 a^{2} b \,e^{4} x}{3 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}+\frac{38 a \,b^{3} e^{4} x}{3 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{36 a \,b^{2} d \,e^{3} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}+\frac{48 a b \,d^{2} e^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}-\frac{5 b^{5} e^{4} x}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{9 b^{4} d \,e^{3} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{12 b^{3} d^{2} e^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{4 b c \,d^{4} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}-\frac{2 b \,e^{4} x^{3}}{3 \sqrt{c \,x^{2}+b x +a}\, c}+\frac{4 d \,e^{3} x^{3}}{\sqrt{c \,x^{2}+b x +a}}-\frac{16 a^{2} b^{2} e^{4}}{3 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{19 a \,b^{4} e^{4}}{3 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{18 a \,b^{3} d \,e^{3}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{24 a \,b^{2} d^{2} e^{2}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{8 a \,e^{4} x^{2}}{3 \sqrt{c \,x^{2}+b x +a}\, c}-\frac{5 b^{6} e^{4}}{4 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{4}}+\frac{9 b^{5} d \,e^{3}}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{6 b^{4} d^{2} e^{2}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{5 b^{2} e^{4} x^{2}}{3 \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{2 b^{2} d^{4}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}-\frac{6 b d \,e^{3} x^{2}}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{12 d^{2} e^{2} x^{2}}{\sqrt{c \,x^{2}+b x +a}}-\frac{6 a b \,e^{4} x}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{12 a d \,e^{3} x}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{5 b^{3} e^{4} x}{2 \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{9 b^{2} d \,e^{3} x}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{12 b \,d^{2} e^{2} x}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{2 \left(2 c x +b \right) b \,d^{4}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}-\frac{8 d^{3} e x}{\sqrt{c \,x^{2}+b x +a}}+\frac{6 a b \,e^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{5}{2}}}-\frac{12 a d \,e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}-\frac{5 b^{3} e^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{7}{2}}}+\frac{9 b^{2} d \,e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{5}{2}}}-\frac{12 b \,d^{2} e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}+\frac{8 d^{3} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}}-\frac{16 a^{2} e^{4}}{3 \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{19 a \,b^{2} e^{4}}{3 \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{18 a b d \,e^{3}}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{24 a \,d^{2} e^{2}}{\sqrt{c \,x^{2}+b x +a}\, c}-\frac{5 b^{4} e^{4}}{4 \sqrt{c \,x^{2}+b x +a}\, c^{4}}+\frac{9 b^{3} d \,e^{3}}{2 \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{6 b^{2} d^{2} e^{2}}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{2 d^{4}}{\sqrt{c \,x^{2}+b x +a}}"," ",0,"2*b*d^4*(2*c*x+b)/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-32/3/c*e^4*a^2*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+24*a/c*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*d^2*e^2-12*b^3/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*d^2*e^2+48*a*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*d^2*e^2+2/3*e^4*x^4/(c*x^2+b*x+a)^(1/2)-8*x/(c*x^2+b*x+a)^(1/2)*d^3*e-2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*d^4+4*x^3/(c*x^2+b*x+a)^(1/2)*d*e^3-5/2/c^(7/2)*e^4*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-5/4/c^4*e^4*b^4/(c*x^2+b*x+a)^(1/2)-16/3/c^2*e^4*a^2/(c*x^2+b*x+a)^(1/2)+12*x^2/(c*x^2+b*x+a)^(1/2)*d^2*e^2+8/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d^3*e-36*b^2/c*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*d*e^3+5/3/c^2*e^4*b^2*x^2/(c*x^2+b*x+a)^(1/2)-2/(c*x^2+b*x+a)^(1/2)*d^4+12*a/c*x/(c*x^2+b*x+a)^(1/2)*d*e^3-16/3/c^2*e^4*a^2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-4*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*c*d^4-18*b^3/c^2*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*d*e^3+9*b^4/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*d*e^3+38/3/c^2*e^4*b^3*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x-2/3/c*e^4*b*x^3/(c*x^2+b*x+a)^(1/2)+9*b^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*e^3-12*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d^2*e^2-12*a/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*e^3+12*b/c*x/(c*x^2+b*x+a)^(1/2)*d^2*e^2+19/3/c^3*e^4*b^4*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-6/c^2*e^4*b*a*x/(c*x^2+b*x+a)^(1/2)-5/2/c^3*e^4*b^5/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x-6*b^4/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*d^2*e^2-6*b/c*x^2/(c*x^2+b*x+a)^(1/2)*d*e^3-9*b^2/c^2*x/(c*x^2+b*x+a)^(1/2)*d*e^3+9/2*b^5/c^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*d*e^3-18*b/c^2*a/(c*x^2+b*x+a)^(1/2)*d*e^3-5/4/c^4*e^4*b^6/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+19/3/c^3*e^4*b^2*a/(c*x^2+b*x+a)^(1/2)-8/3/c*e^4*a*x^2/(c*x^2+b*x+a)^(1/2)+6/c^(5/2)*e^4*b*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-6*b^2/c^2/(c*x^2+b*x+a)^(1/2)*d^2*e^2+24*a/c/(c*x^2+b*x+a)^(1/2)*d^2*e^2+9/2*b^3/c^3/(c*x^2+b*x+a)^(1/2)*d*e^3+5/2/c^3*e^4*b^3*x/(c*x^2+b*x+a)^(1/2)","B"
1582,1,788,135,0.062000," ","int((2*c*x+b)*(e*x+d)^3/(c*x^2+b*x+a)^(3/2),x)","-\frac{9 a \,b^{2} e^{3} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}+\frac{24 a b d \,e^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}+\frac{9 b^{4} e^{3} x}{4 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{6 b^{3} d \,e^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{4 b c \,d^{3} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}+\frac{e^{3} x^{3}}{\sqrt{c \,x^{2}+b x +a}}-\frac{9 a \,b^{3} e^{3}}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{12 a \,b^{2} d \,e^{2}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}+\frac{9 b^{5} e^{3}}{8 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{3 b^{4} d \,e^{2}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{2 b^{2} d^{3}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}-\frac{3 b \,e^{3} x^{2}}{2 \sqrt{c \,x^{2}+b x +a}\, c}+\frac{6 d \,e^{2} x^{2}}{\sqrt{c \,x^{2}+b x +a}}+\frac{3 a \,e^{3} x}{\sqrt{c \,x^{2}+b x +a}\, c}-\frac{9 b^{2} e^{3} x}{4 \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{6 b d \,e^{2} x}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{2 \left(2 c x +b \right) b \,d^{3}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}-\frac{6 d^{2} e x}{\sqrt{c \,x^{2}+b x +a}}-\frac{3 a \,e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}+\frac{9 b^{2} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{5}{2}}}-\frac{6 b d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}+\frac{6 d^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}}-\frac{9 a b \,e^{3}}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{12 a d \,e^{2}}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{9 b^{3} e^{3}}{8 \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{3 b^{2} d \,e^{2}}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{2 d^{3}}{\sqrt{c \,x^{2}+b x +a}}"," ",0,"24*a*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*d*e^2+12*a/c*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*d*e^2-6*b^3/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*d*e^2-2/(c*x^2+b*x+a)^(1/2)*d^3+9/4/c^(5/2)*e^3*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+6/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d^2*e-6*x/(c*x^2+b*x+a)^(1/2)*d^2*e-2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*d^3+6*x^2/(c*x^2+b*x+a)^(1/2)*d*e^2+9/8/c^3*e^3*b^3/(c*x^2+b*x+a)^(1/2)-3/c^(3/2)*e^3*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-9/2/c^2*e^3*b^3*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-3*b^2/c^2/(c*x^2+b*x+a)^(1/2)*d*e^2-3/2/c*e^3*b*x^2/(c*x^2+b*x+a)^(1/2)-9/4/c^2*e^3*b^2*x/(c*x^2+b*x+a)^(1/2)+e^3*x^3/(c*x^2+b*x+a)^(1/2)-9/c*e^3*b^2*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+3/c*e^3*a*x/(c*x^2+b*x+a)^(1/2)+12*a/c/(c*x^2+b*x+a)^(1/2)*d*e^2-4*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*c*d^3-9/2/c^2*e^3*b*a/(c*x^2+b*x+a)^(1/2)+2*b*d^3*(2*c*x+b)/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-6*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*e^2+9/8/c^3*e^3*b^5/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-3*b^4/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*d*e^2+6*b/c*x/(c*x^2+b*x+a)^(1/2)*d*e^2+9/4/c^2*e^3*b^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x","B"
1583,1,427,81,0.055000," ","int((2*c*x+b)*(e*x+d)^2/(c*x^2+b*x+a)^(3/2),x)","\frac{8 a b \,e^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}-\frac{2 b^{3} e^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{4 b c \,d^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}+\frac{4 a \,b^{2} e^{2}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{b^{4} e^{2}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{2 b^{2} d^{2}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}+\frac{2 e^{2} x^{2}}{\sqrt{c \,x^{2}+b x +a}}+\frac{2 b \,e^{2} x}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{2 \left(2 c x +b \right) b \,d^{2}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}-\frac{4 d e x}{\sqrt{c \,x^{2}+b x +a}}-\frac{2 b \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}+\frac{4 d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}}+\frac{4 a \,e^{2}}{\sqrt{c \,x^{2}+b x +a}\, c}-\frac{b^{2} e^{2}}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{2 d^{2}}{\sqrt{c \,x^{2}+b x +a}}"," ",0,"2/c*e^2*b*x/(c*x^2+b*x+a)^(1/2)-1/c^2*e^2*b^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-2/c^(3/2)*e^2*b*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+4/c*e^2*a*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+8*e^2*a*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x-2/c*e^2*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x-2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*d^2-4*x/(c*x^2+b*x+a)^(1/2)*d*e-1/c^2*e^2*b^2/(c*x^2+b*x+a)^(1/2)+4/c*e^2*a/(c*x^2+b*x+a)^(1/2)+2*b*d^2*(2*c*x+b)/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-2/(c*x^2+b*x+a)^(1/2)*d^2-4*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*c*d^2+2*e^2*x^2/(c*x^2+b*x+a)^(1/2)+4/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*e","B"
1584,1,158,50,0.054000," ","int((2*c*x+b)*(e*x+d)/(c*x^2+b*x+a)^(3/2),x)","-\frac{4 b c d x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}-\frac{2 b^{2} d}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}+\frac{2 \left(2 c x +b \right) b d}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}-\frac{2 e x}{\sqrt{c \,x^{2}+b x +a}}+\frac{2 e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}}-\frac{2 d}{\sqrt{c \,x^{2}+b x +a}}"," ",0,"-2*e*x/(c*x^2+b*x+a)^(1/2)+2/c^(1/2)*e*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-2/(c*x^2+b*x+a)^(1/2)*d-4*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*c*d-2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*d+2*b*d*(2*c*x+b)/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)","B"
1585,1,15,14,0.049000," ","int((2*c*x+b)/(c*x^2+b*x+a)^(3/2),x)","-\frac{2}{\sqrt{c \,x^{2}+b x +a}}"," ",0,"-2/(c*x^2+b*x+a)^(1/2)","A"
1586,1,1084,156,0.058000," ","int((2*c*x+b)/(e*x+d)/(c*x^2+b*x+a)^(3/2),x)","-\frac{2 b^{2} c e x}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{8 b \,c^{2} d x}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{8 c^{3} d^{2} x}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e}-\frac{b^{3} e}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{4 b^{2} c d}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{4 b \,c^{2} d^{2}}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e}-\frac{b e \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{2 c d \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{b e}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{2 c d}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{4 \left(2 c x +b \right) c}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, e}"," ",0,"4*c/e*(2*c*x+b)/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+e/(a*e^2-b*d*e+c*d^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b-2/(a*e^2-b*d*e+c*d^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*c*d-2*e/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b^2*c+8/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b*c^2*d-8/e/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*c^3*d^2-e/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^3+4/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2*c*d-4/e/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*c^2*d^2-e/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b+2/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*c*d","B"
1587,1,2293,234,0.065000," ","int((2*c*x+b)/(e*x+d)^2/(c*x^2+b*x+a)^(3/2),x)","\frac{3 b^{3} c \,e^{2} x}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{18 b^{2} c^{2} d e x}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{36 b \,c^{3} d^{2} x}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{24 c^{4} d^{3} x}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e}+\frac{3 b^{4} e^{2}}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{9 b^{3} c d e}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{18 b^{2} c^{2} d^{2}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{12 b \,c^{3} d^{3}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e}+\frac{3 b^{2} e^{2} \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{6 b c d e \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{6 c^{2} d^{2} \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{3 b^{2} e^{2}}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{12 b \,c^{2} x}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{6 b c d e}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{24 c^{3} d x}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e}-\frac{6 c^{2} d^{2}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{6 b^{2} c}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{12 b \,c^{2} d}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e}-\frac{2 c \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{b}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(x +\frac{d}{e}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{2 c d}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(x +\frac{d}{e}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e}+\frac{2 c}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}"," ",0,"18/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2*c^2*d^2+2/e/(a*e^2-b*d*e+c*d^2)/(x+d/e)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*c*d+6*e/(a*e^2-b*d*e+c*d^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*c*d-12*c^2/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b-18*e/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b^2*c^2*d-3/2*e^2/(a*e^2-b*d*e+c*d^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2-1/(a*e^2-b*d*e+c*d^2)/(x+d/e)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b-6/(a*e^2-b*d*e+c*d^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*c^2*d^2-2*c/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))+2*c/(a*e^2-b*d*e+c*d^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)+6/(a*e^2-b*d*e+c*d^2)^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*c^2*d^2+3/2*e^2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^4+3/2*e^2/(a*e^2-b*d*e+c*d^2)^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b^2-24/e/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*c^4*d^3-9*e/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^3*c*d+24/e*c^3/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*d+12/e*c^2/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*d-6*c/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2+36/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b*c^3*d^2-12/e/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*c^3*d^3-6*e/(a*e^2-b*d*e+c*d^2)^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b*c*d+3*e^2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b^3*c","B"
1588,1,1692,188,0.066000," ","int((2*c*x+b)*(e*x+d)^4/(c*x^2+b*x+a)^(5/2),x)","\frac{64 a^{2} b \,e^{4} x}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}-\frac{64 a \,b^{3} e^{4} x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c}-\frac{64 a b c \,d^{2} e^{2} x}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}+\frac{128 a \,c^{2} d^{3} e x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}+\frac{4 b^{5} e^{4} x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{16 b^{3} d^{2} e^{2} x}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}-\frac{32 b^{2} c \,d^{3} e x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}+\frac{2 e^{4} x^{4}}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}+\frac{32 a^{2} b^{2} e^{4}}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c}+\frac{8 a^{2} b \,e^{4} x}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}-\frac{32 a \,b^{4} e^{4}}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{8 a \,b^{3} e^{4} x}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{32 a \,b^{2} d^{2} e^{2}}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}+\frac{64 a b c \,d^{3} e}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}-\frac{8 a b \,d^{2} e^{2} x}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}+\frac{16 a c \,d^{3} e x}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}+\frac{2 b^{6} e^{4}}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{b^{5} e^{4} x}{6 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}+\frac{8 b^{4} d^{2} e^{2}}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c}+\frac{2 b^{3} d^{2} e^{2} x}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}-\frac{16 b^{3} d^{3} e}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}-\frac{4 b^{2} d^{3} e x}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}+\frac{4 b \,e^{4} x^{3}}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}-\frac{8 d \,e^{3} x^{3}}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}+\frac{4 a^{2} b^{2} e^{4}}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{4 a \,b^{4} e^{4}}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}-\frac{4 a \,b^{2} d^{2} e^{2}}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{8 a b \,d^{3} e}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}+\frac{8 a \,e^{4} x^{2}}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{b^{6} e^{4}}{12 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{4}}+\frac{b^{4} d^{2} e^{2}}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{2 b^{3} d^{3} e}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}-\frac{4 b^{3} e^{4} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{8 b^{2} d \,e^{3} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{2 b^{2} e^{4} x^{2}}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{12 d^{2} e^{2} x^{2}}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}+\frac{2 a b \,e^{4} x}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{2 b^{4} e^{4}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{4 b^{3} d \,e^{3}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{b^{3} e^{4} x}{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}-\frac{6 b \,d^{2} e^{2} x}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}-\frac{4 d^{3} e x}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}+\frac{16 a^{2} e^{4}}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{5 a \,b^{2} e^{4}}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}-\frac{8 a \,d^{2} e^{2}}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{b^{4} e^{4}}{12 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{4}}+\frac{b^{2} d^{2} e^{2}}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{2 b \,d^{3} e}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{4 b \,e^{4} x}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{8 d \,e^{3} x}{\sqrt{c \,x^{2}+b x +a}\, c}-\frac{2 d^{4}}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}-\frac{4 b \,e^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{5}{2}}}+\frac{8 d \,e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}-\frac{2 b^{2} e^{4}}{\sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{4 b d \,e^{3}}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}"," ",0,"-12*x^2/(c*x^2+b*x+a)^(3/2)*d^2*e^2-4*x/(c*x^2+b*x+a)^(3/2)*d^3*e+16/3/c^2*e^4*a^2/(c*x^2+b*x+a)^(3/2)+1/12/c^4*e^4*b^4/(c*x^2+b*x+a)^(3/2)-2/c^3*e^4*b^2/(c*x^2+b*x+a)^(1/2)-8/3*x^3/(c*x^2+b*x+a)^(3/2)*d*e^3-4/c^(5/2)*e^4*b*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+8/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*e^3-2/3/(c*x^2+b*x+a)^(3/2)*d^4+2*e^4*x^4/(c*x^2+b*x+a)^(3/2)-64*b*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*c*d^2*e^2+b^4/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*d^2*e^2-64/3/c*e^4*b^3*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x-8/3/c^2*e^4*b^3*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x+16*b^3/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*d^2*e^2+2/c^2*e^4*a*b*x/(c*x^2+b*x+a)^(3/2)+4/c^2*e^4*a^2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)+32/c*e^4*a^2*b^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)-6*b/c*x/(c*x^2+b*x+a)^(3/2)*d^2*e^2+4/c^2*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*d*e^3+64*e^4*a^2*b/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x-1/2/c^3*e^4*b^3*x/(c*x^2+b*x+a)^(3/2)-2/c^3*e^4*b^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-4/c^2*e^4*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x-4/3*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*d^3*e-2/3*b^3/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*d^3*e+8/3*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*b*d^3*e+1/12/c^4*e^4*b^6/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)+2/3/c^3*e^4*b^6/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)-5/3/c^3*e^4*b^2*a/(c*x^2+b*x+a)^(3/2)+4/c^2*e^4*b*x/(c*x^2+b*x+a)^(1/2)+8/c*e^4*a*x^2/(c*x^2+b*x+a)^(3/2)+4/3/c*e^4*b*x^3/(c*x^2+b*x+a)^(3/2)-2/c^2*e^4*b^2*x^2/(c*x^2+b*x+a)^(3/2)+b^2/c^2/(c*x^2+b*x+a)^(3/2)*d^2*e^2-8*a/c/(c*x^2+b*x+a)^(3/2)*d^2*e^2-8/c*x/(c*x^2+b*x+a)^(1/2)*d*e^3+4/c^2*b/(c*x^2+b*x+a)^(1/2)*d*e^3+4/3/c^2*e^4*b^5/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x-4/3/c^3*e^4*b^4*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)-32/3/c^2*e^4*b^4*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)+1/6/c^3*e^4*b^5/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x+8*b^4/c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*d^2*e^2-32*b^2*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*d^2*e^2-2/3*b/c/(c*x^2+b*x+a)^(3/2)*d^3*e-16/3*b^3/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*d^3*e+8/c*e^4*a^2*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x-32/3*b^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*c*d^3*e+16/3*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*c*d^3*e+128/3*a*c^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*d^3*e+64/3*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*b*c*d^3*e+2*b^3/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*d^2*e^2-8*b*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*d^2*e^2-4*b^2/c*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*d^2*e^2+8/c*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*d*e^3","B"
1589,1,865,142,0.064000," ","int((2*c*x+b)*(e*x+d)^3/(c*x^2+b*x+a)^(5/2),x)","-\frac{32 a b c d \,e^{2} x}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}+\frac{32 a \,c^{2} d^{2} e x}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}+\frac{8 b^{3} d \,e^{2} x}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}-\frac{8 b^{2} c \,d^{2} e x}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}-\frac{16 a \,b^{2} d \,e^{2}}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}+\frac{16 a b c \,d^{2} e}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}-\frac{4 a b d \,e^{2} x}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}+\frac{4 a c \,d^{2} e x}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}+\frac{4 b^{4} d \,e^{2}}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c}+\frac{b^{3} d \,e^{2} x}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}-\frac{4 b^{3} d^{2} e}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}-\frac{b^{2} d^{2} e x}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}-\frac{2 e^{3} x^{3}}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}-\frac{2 a \,b^{2} d \,e^{2}}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{2 a b \,d^{2} e}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}+\frac{b^{4} d \,e^{2}}{2 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{b^{3} d^{2} e}{2 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{2 b^{2} e^{3} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{6 d \,e^{2} x^{2}}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}+\frac{b^{3} e^{3}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{3 b d \,e^{2} x}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}-\frac{3 d^{2} e x}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}-\frac{4 a d \,e^{2}}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{b^{2} d \,e^{2}}{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{b \,d^{2} e}{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}-\frac{2 e^{3} x}{\sqrt{c \,x^{2}+b x +a}\, c}-\frac{2 d^{3}}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}+\frac{2 e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}+\frac{b \,e^{3}}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}"," ",0,"1/c^2*e^3*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+1/2*b^2/c^2/(c*x^2+b*x+a)^(3/2)*d*e^2-32*b*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*d*e^2*c+16*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*b*c*d^2*e-2/3/(c*x^2+b*x+a)^(3/2)*d^3+2/c*e^3*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+4*b^4/c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*d*e^2-16*b^2*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*d*e^2+1/c^2*e^3*b/(c*x^2+b*x+a)^(1/2)-6*x^2/(c*x^2+b*x+a)^(3/2)*d*e^2-3*x/(c*x^2+b*x+a)^(3/2)*d^2*e-2/3*e^3*x^3/(c*x^2+b*x+a)^(3/2)+2/c^(3/2)*e^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-2/c*e^3*x/(c*x^2+b*x+a)^(1/2)+b^3/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*d*e^2-4*b*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*d*e^2-2*b^2/c*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*d*e^2-8*b^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*c*d^2*e+4*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*c*d^2*e+32*a*c^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*d^2*e-b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*d^2*e-1/2*b^3/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*d^2*e-3*b/c*x/(c*x^2+b*x+a)^(3/2)*d*e^2+2*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*b*d^2*e+8*b^3/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*d*e^2+1/2*b^4/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*d*e^2-1/2*b/c/(c*x^2+b*x+a)^(3/2)*d^2*e-4*a/c/(c*x^2+b*x+a)^(3/2)*d*e^2-4*b^3/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*d^2*e","B"
1590,1,123,66,0.056000," ","int((2*c*x+b)*(e*x+d)^2/(c*x^2+b*x+a)^(5/2),x)","-\frac{2 \left(4 b c \,e^{2} x^{3}-8 c^{2} d e \,x^{3}+12 a c \,e^{2} x^{2}+3 b^{2} e^{2} x^{2}-12 b c d e \,x^{2}+12 a b \,e^{2} x -6 b^{2} d e x +8 a^{2} e^{2}-4 a b d e +4 a c \,d^{2}-b^{2} d^{2}\right)}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} \left(4 a c -b^{2}\right)}"," ",0,"-2/3/(c*x^2+b*x+a)^(3/2)*(4*b*c*e^2*x^3-8*c^2*d*e*x^3+12*a*c*e^2*x^2+3*b^2*e^2*x^2-12*b*c*d*e*x^2+12*a*b*e^2*x-6*b^2*d*e*x+8*a^2*e^2-4*a*b*d*e+4*a*c*d^2-b^2*d^2)/(4*a*c-b^2)","A"
1591,1,67,51,0.046000," ","int((2*c*x+b)*(e*x+d)/(c*x^2+b*x+a)^(5/2),x)","\frac{\frac{8}{3} c^{2} e \,x^{3}+4 b c e \,x^{2}+2 b^{2} e x +\frac{4}{3} a b e -\frac{8}{3} a c d +\frac{2}{3} b^{2} d}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} \left(4 a c -b^{2}\right)}"," ",0,"2/3/(c*x^2+b*x+a)^(3/2)*(4*c^2*e*x^3+6*b*c*e*x^2+3*b^2*e*x+2*a*b*e-4*a*c*d+b^2*d)/(4*a*c-b^2)","A"
1592,1,15,14,0.056000," ","int((2*c*x+b)/(c*x^2+b*x+a)^(5/2),x)","-\frac{2}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}"," ",0,"-2/3/(c*x^2+b*x+a)^(3/2)","A"
1593,1,2451,275,0.067000," ","int((2*c*x+b)/(e*x+d)/(c*x^2+b*x+a)^(5/2),x)","\frac{2 c d \,e^{2} \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{8 b^{3} c e}{3 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{4 b^{2} c d}{3 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right) \left(\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}\right)^{\frac{3}{2}}}+\frac{32 b^{2} c^{2} d}{3 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{8 b \,c^{2} d \,e^{2} x}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{b \,e^{3}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{2 c d}{3 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}\right)^{\frac{3}{2}}}+\frac{b e}{3 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}\right)^{\frac{3}{2}}}-\frac{2 c d \,e^{2}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{b^{3} e}{3 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right) \left(\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}\right)^{\frac{3}{2}}}+\frac{32 b \,c^{2}}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, e}+\frac{64 c^{3} x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, e}+\frac{4 b c}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} e}+\frac{8 c^{2} x}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} e}-\frac{8 c^{3} d^{2} e x}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{b^{3} e^{3}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{b \,e^{3} \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{32 b \,c^{3} d^{2}}{3 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e}-\frac{2 b^{2} c \,e^{3} x}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{8 c^{3} d^{2} x}{3 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right) \left(\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}\right)^{\frac{3}{2}} e}+\frac{64 b \,c^{3} d x}{3 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{8 b \,c^{2} d x}{3 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right) \left(\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}\right)^{\frac{3}{2}}}-\frac{4 b \,c^{2} d^{2}}{3 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right) \left(\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}\right)^{\frac{3}{2}} e}-\frac{16 b^{2} c^{2} e x}{3 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{4 b \,c^{2} d^{2} e}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{2 b^{2} c e x}{3 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right) \left(\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}\right)^{\frac{3}{2}}}-\frac{64 c^{4} d^{2} x}{3 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right)^{2} \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e}+\frac{4 b^{2} c d \,e^{2}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}"," ",0,"2*e^2/(a*e^2-b*d*e+c*d^2)^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*c*d-8/3*e/(a*e^2-b*d*e+c*d^2)*c/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^3+4/3/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*b^2*c*d+32/3/(a*e^2-b*d*e+c*d^2)*c^2/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2*d+8*e^2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b*c^2*d+e^3/(a*e^2-b*d*e+c*d^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b-2/3/(a*e^2-b*d*e+c*d^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*c*d+1/3*e/(a*e^2-b*d*e+c*d^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*b-e^3/(a*e^2-b*d*e+c*d^2)^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b-2*e^2/(a*e^2-b*d*e+c*d^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*c*d-1/3*e/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*b^3+32/3*c^2/e/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*b+64/3*c^3/e/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x+4/3*c/e/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*b+8/3*c^2/e/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x-8*e/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*c^3*d^2-e^3/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^3-32/3/e/(a*e^2-b*d*e+c*d^2)*c^3/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*d^2-2*e^3/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b^2*c-8/3/e/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*c^3*x*d^2+64/3/(a*e^2-b*d*e+c*d^2)*c^3/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b*d+8/3/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*c^2*x*b*d-4/3/e/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*b*c^2*d^2-16/3*e/(a*e^2-b*d*e+c*d^2)*c^2/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b^2-4*e/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*c^2*d^2-2/3*e/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*c*x*b^2-64/3/e/(a*e^2-b*d*e+c*d^2)*c^4/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*d^2+4*e^2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2*c*d","B"
1594,1,4855,401,0.114000," ","int((2*c*x+b)/(e*x+d)^2/(c*x^2+b*x+a)^(5/2),x)","\text{output too large to display}"," ",0,"2*c*e^2/(a*e^2-b*d*e+c*d^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)+2/e/(a*e^2-b*d*e+c*d^2)/(x+d/e)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*c*d-160/3/(a*e^2-b*d*e+c*d^2)*c^3/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b+20/3*e^2/(a*e^2-b*d*e+c*d^2)^2*c/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^4+10*e^2/(a*e^2-b*d*e+c*d^2)^3/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*c^2*d^2+10*e^3/(a*e^2-b*d*e+c*d^2)^3/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*c*d*b+10/3*e/(a*e^2-b*d*e+c*d^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*c*d*b+10/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*b^2*c^2*d^2+80/(a*e^2-b*d*e+c*d^2)^2*c^3/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2*d^2+2/3*c/(a*e^2-b*d*e+c*d^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)-20/3/(a*e^2-b*d*e+c*d^2)*c^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*x*b-2*c*e^2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2-30*e^3/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b^2*c^2*d+60*e^2/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b*c^3*d^2-80*e/(a*e^2-b*d*e+c*d^2)^2*c^3/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b^2*d-10*e/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*c^2*x*b^2*d-5/6*e^2/(a*e^2-b*d*e+c*d^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*b^2-5/2*e^4/(a*e^2-b*d*e+c*d^2)^3/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2-1/(a*e^2-b*d*e+c*d^2)/(x+d/e)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*b-10/3/(a*e^2-b*d*e+c*d^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*c^2*d^2-2*c*e^2/(a*e^2-b*d*e+c*d^2)^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))-80/3/(a*e^2-b*d*e+c*d^2)*c^2/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2-10/3/(a*e^2-b*d*e+c*d^2)*c/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*b^2+5/6*e^2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*b^4-10*e^2/(a*e^2-b*d*e+c*d^2)^3/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*c^2*d^2+5/2*e^4/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^4+5/2*e^4/(a*e^2-b*d*e+c*d^2)^3/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b^2-4*c^2*e^2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b+8*c^3*e/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*d+4*c^2*e/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*d+20/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*c^3*x*b*d^2+160/(a*e^2-b*d*e+c*d^2)^2*c^4/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b*d^2-40/3/e/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*c^4*x*d^3-20*e/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*c^3*d^3+5/3*e^2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*c*x*b^3+40/3*e^2/(a*e^2-b*d*e+c*d^2)^2*c^2/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b^3-320/3/e/(a*e^2-b*d*e+c*d^2)^2*c^5/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*d^3-20/3/e/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*b*c^3*d^3-5*e/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*b^3*c*d+30*e^2/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2*c^2*d^2-15*e^3/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^3*c*d+160/3/e/(a*e^2-b*d*e+c*d^2)*c^3/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*d-160/3/e/(a*e^2-b*d*e+c*d^2)^2*c^4/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*d^3+5*e^4/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b^3*c-40*e/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*c^4*d^3+40/3/e/(a*e^2-b*d*e+c*d^2)*c^3/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*x*d+20/3/e/(a*e^2-b*d*e+c*d^2)*c^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*b*d+320/3/e/(a*e^2-b*d*e+c*d^2)*c^4/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*d-10*e^3/(a*e^2-b*d*e+c*d^2)^3/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*c*d*b-40*e/(a*e^2-b*d*e+c*d^2)^2*c^2/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^3*d","B"
1595,1,123,116,0.046000," ","int((2*c*x+b)*(e*x+d)^(5/2)*(c*x^2+b*x+a),x)","\frac{2 \left(e x +d \right)^{\frac{7}{2}} \left(1386 c^{2} x^{3} e^{3}+2457 b c \,e^{3} x^{2}-756 c^{2} d \,e^{2} x^{2}+2002 a c \,e^{3} x +1001 b^{2} e^{3} x -1092 b c d \,e^{2} x +336 c^{2} d^{2} e x +1287 a b \,e^{3}-572 a c d \,e^{2}-286 b^{2} d \,e^{2}+312 b c \,d^{2} e -96 c^{2} d^{3}\right)}{9009 e^{4}}"," ",0,"2/9009*(e*x+d)^(7/2)*(1386*c^2*e^3*x^3+2457*b*c*e^3*x^2-756*c^2*d*e^2*x^2+2002*a*c*e^3*x+1001*b^2*e^3*x-1092*b*c*d*e^2*x+336*c^2*d^2*e*x+1287*a*b*e^3-572*a*c*d*e^2-286*b^2*d*e^2+312*b*c*d^2*e-96*c^2*d^3)/e^4","A"
1596,1,123,116,0.048000," ","int((2*c*x+b)*(e*x+d)^(3/2)*(c*x^2+b*x+a),x)","\frac{2 \left(e x +d \right)^{\frac{5}{2}} \left(210 c^{2} x^{3} e^{3}+385 b c \,e^{3} x^{2}-140 c^{2} d \,e^{2} x^{2}+330 a c \,e^{3} x +165 b^{2} e^{3} x -220 b c d \,e^{2} x +80 c^{2} d^{2} e x +231 a b \,e^{3}-132 a c d \,e^{2}-66 b^{2} d \,e^{2}+88 b c \,d^{2} e -32 c^{2} d^{3}\right)}{1155 e^{4}}"," ",0,"2/1155*(e*x+d)^(5/2)*(210*c^2*e^3*x^3+385*b*c*e^3*x^2-140*c^2*d*e^2*x^2+330*a*c*e^3*x+165*b^2*e^3*x-220*b*c*d*e^2*x+80*c^2*d^2*e*x+231*a*b*e^3-132*a*c*d*e^2-66*b^2*d*e^2+88*b*c*d^2*e-32*c^2*d^3)/e^4","A"
1597,1,123,116,0.050000," ","int((2*c*x+b)*(c*x^2+b*x+a)*(e*x+d)^(1/2),x)","\frac{2 \left(e x +d \right)^{\frac{3}{2}} \left(70 c^{2} x^{3} e^{3}+135 b c \,e^{3} x^{2}-60 c^{2} d \,e^{2} x^{2}+126 a c \,e^{3} x +63 b^{2} e^{3} x -108 b c d \,e^{2} x +48 c^{2} d^{2} e x +105 a b \,e^{3}-84 a c d \,e^{2}-42 b^{2} d \,e^{2}+72 b c \,d^{2} e -32 c^{2} d^{3}\right)}{315 e^{4}}"," ",0,"2/315*(e*x+d)^(3/2)*(70*c^2*e^3*x^3+135*b*c*e^3*x^2-60*c^2*d*e^2*x^2+126*a*c*e^3*x+63*b^2*e^3*x-108*b*c*d*e^2*x+48*c^2*d^2*e*x+105*a*b*e^3-84*a*c*d*e^2-42*b^2*d*e^2+72*b*c*d^2*e-32*c^2*d^3)/e^4","A"
1598,1,123,116,0.046000," ","int((2*c*x+b)*(c*x^2+b*x+a)/(e*x+d)^(1/2),x)","\frac{2 \sqrt{e x +d}\, \left(30 c^{2} x^{3} e^{3}+63 b c \,e^{3} x^{2}-36 c^{2} d \,e^{2} x^{2}+70 a c \,e^{3} x +35 b^{2} e^{3} x -84 b c d \,e^{2} x +48 c^{2} d^{2} e x +105 a b \,e^{3}-140 a c d \,e^{2}-70 b^{2} d \,e^{2}+168 b c \,d^{2} e -96 c^{2} d^{3}\right)}{105 e^{4}}"," ",0,"2/105*(e*x+d)^(1/2)*(30*c^2*e^3*x^3+63*b*c*e^3*x^2-36*c^2*d*e^2*x^2+70*a*c*e^3*x+35*b^2*e^3*x-84*b*c*d*e^2*x+48*c^2*d^2*e*x+105*a*b*e^3-140*a*c*d*e^2-70*b^2*d*e^2+168*b*c*d^2*e-96*c^2*d^3)/e^4","A"
1599,1,123,116,0.048000," ","int((2*c*x+b)*(c*x^2+b*x+a)/(e*x+d)^(3/2),x)","-\frac{2 \left(-2 c^{2} x^{3} e^{3}-5 b c \,e^{3} x^{2}+4 c^{2} d \,e^{2} x^{2}-10 a c \,e^{3} x -5 b^{2} e^{3} x +20 b c d \,e^{2} x -16 c^{2} d^{2} e x +5 a b \,e^{3}-20 a c d \,e^{2}-10 b^{2} d \,e^{2}+40 b c \,d^{2} e -32 c^{2} d^{3}\right)}{5 \sqrt{e x +d}\, e^{4}}"," ",0,"-2/5/(e*x+d)^(1/2)*(-2*c^2*e^3*x^3-5*b*c*e^3*x^2+4*c^2*d*e^2*x^2-10*a*c*e^3*x-5*b^2*e^3*x+20*b*c*d*e^2*x-16*c^2*d^2*e*x+5*a*b*e^3-20*a*c*d*e^2-10*b^2*d*e^2+40*b*c*d^2*e-32*c^2*d^3)/e^4","A"
1600,1,122,116,0.044000," ","int((2*c*x+b)*(c*x^2+b*x+a)/(e*x+d)^(5/2),x)","-\frac{2 \left(-2 c^{2} x^{3} e^{3}-9 b c \,e^{3} x^{2}+12 c^{2} d \,e^{2} x^{2}+6 a c \,e^{3} x +3 b^{2} e^{3} x -36 b c d \,e^{2} x +48 c^{2} d^{2} e x +a b \,e^{3}+4 a c d \,e^{2}+2 b^{2} d \,e^{2}-24 b c \,d^{2} e +32 c^{2} d^{3}\right)}{3 \left(e x +d \right)^{\frac{3}{2}} e^{4}}"," ",0,"-2/3/(e*x+d)^(3/2)*(-2*c^2*e^3*x^3-9*b*c*e^3*x^2+12*c^2*d*e^2*x^2+6*a*c*e^3*x+3*b^2*e^3*x-36*b*c*d*e^2*x+48*c^2*d^2*e*x+a*b*e^3+4*a*c*d*e^2+2*b^2*d*e^2-24*b*c*d^2*e+32*c^2*d^3)/e^4","A"
1601,1,359,228,0.057000," ","int((2*c*x+b)*(e*x+d)^(5/2)*(c*x^2+b*x+a)^2,x)","\frac{2 \left(e x +d \right)^{\frac{7}{2}} \left(18018 c^{3} e^{5} x^{5}+51051 b \,c^{2} e^{5} x^{4}-12012 c^{3} d \,e^{4} x^{4}+47124 a \,c^{2} e^{5} x^{3}+47124 b^{2} c \,e^{5} x^{3}-31416 b \,c^{2} d \,e^{4} x^{3}+7392 c^{3} d^{2} e^{3} x^{3}+83538 a b c \,e^{5} x^{2}-25704 a \,c^{2} d \,e^{4} x^{2}+13923 b^{3} e^{5} x^{2}-25704 b^{2} c d \,e^{4} x^{2}+17136 b \,c^{2} d^{2} e^{3} x^{2}-4032 c^{3} d^{3} e^{2} x^{2}+34034 a^{2} c \,e^{5} x +34034 a \,b^{2} e^{5} x -37128 a b c d \,e^{4} x +11424 a \,c^{2} d^{2} e^{3} x -6188 b^{3} d \,e^{4} x +11424 b^{2} c \,d^{2} e^{3} x -7616 b \,c^{2} d^{3} e^{2} x +1792 c^{3} d^{4} e x +21879 a^{2} b \,e^{5}-9724 a^{2} c d \,e^{4}-9724 a \,b^{2} d \,e^{4}+10608 a b c \,d^{2} e^{3}-3264 a \,c^{2} d^{3} e^{2}+1768 b^{3} d^{2} e^{3}-3264 b^{2} c \,d^{3} e^{2}+2176 b \,c^{2} d^{4} e -512 c^{3} d^{5}\right)}{153153 e^{6}}"," ",0,"2/153153*(e*x+d)^(7/2)*(18018*c^3*e^5*x^5+51051*b*c^2*e^5*x^4-12012*c^3*d*e^4*x^4+47124*a*c^2*e^5*x^3+47124*b^2*c*e^5*x^3-31416*b*c^2*d*e^4*x^3+7392*c^3*d^2*e^3*x^3+83538*a*b*c*e^5*x^2-25704*a*c^2*d*e^4*x^2+13923*b^3*e^5*x^2-25704*b^2*c*d*e^4*x^2+17136*b*c^2*d^2*e^3*x^2-4032*c^3*d^3*e^2*x^2+34034*a^2*c*e^5*x+34034*a*b^2*e^5*x-37128*a*b*c*d*e^4*x+11424*a*c^2*d^2*e^3*x-6188*b^3*d*e^4*x+11424*b^2*c*d^2*e^3*x-7616*b*c^2*d^3*e^2*x+1792*c^3*d^4*e*x+21879*a^2*b*e^5-9724*a^2*c*d*e^4-9724*a*b^2*d*e^4+10608*a*b*c*d^2*e^3-3264*a*c^2*d^3*e^2+1768*b^3*d^2*e^3-3264*b^2*c*d^3*e^2+2176*b*c^2*d^4*e-512*c^3*d^5)/e^6","A"
1602,1,359,228,0.055000," ","int((2*c*x+b)*(e*x+d)^(3/2)*(c*x^2+b*x+a)^2,x)","\frac{2 \left(e x +d \right)^{\frac{5}{2}} \left(6006 c^{3} e^{5} x^{5}+17325 b \,c^{2} e^{5} x^{4}-4620 c^{3} d \,e^{4} x^{4}+16380 a \,c^{2} e^{5} x^{3}+16380 b^{2} c \,e^{5} x^{3}-12600 b \,c^{2} d \,e^{4} x^{3}+3360 c^{3} d^{2} e^{3} x^{3}+30030 a b c \,e^{5} x^{2}-10920 a \,c^{2} d \,e^{4} x^{2}+5005 b^{3} e^{5} x^{2}-10920 b^{2} c d \,e^{4} x^{2}+8400 b \,c^{2} d^{2} e^{3} x^{2}-2240 c^{3} d^{3} e^{2} x^{2}+12870 a^{2} c \,e^{5} x +12870 a \,b^{2} e^{5} x -17160 a b c d \,e^{4} x +6240 a \,c^{2} d^{2} e^{3} x -2860 b^{3} d \,e^{4} x +6240 b^{2} c \,d^{2} e^{3} x -4800 b \,c^{2} d^{3} e^{2} x +1280 c^{3} d^{4} e x +9009 a^{2} b \,e^{5}-5148 a^{2} c d \,e^{4}-5148 a \,b^{2} d \,e^{4}+6864 a b c \,d^{2} e^{3}-2496 a \,c^{2} d^{3} e^{2}+1144 b^{3} d^{2} e^{3}-2496 b^{2} c \,d^{3} e^{2}+1920 b \,c^{2} d^{4} e -512 c^{3} d^{5}\right)}{45045 e^{6}}"," ",0,"2/45045*(e*x+d)^(5/2)*(6006*c^3*e^5*x^5+17325*b*c^2*e^5*x^4-4620*c^3*d*e^4*x^4+16380*a*c^2*e^5*x^3+16380*b^2*c*e^5*x^3-12600*b*c^2*d*e^4*x^3+3360*c^3*d^2*e^3*x^3+30030*a*b*c*e^5*x^2-10920*a*c^2*d*e^4*x^2+5005*b^3*e^5*x^2-10920*b^2*c*d*e^4*x^2+8400*b*c^2*d^2*e^3*x^2-2240*c^3*d^3*e^2*x^2+12870*a^2*c*e^5*x+12870*a*b^2*e^5*x-17160*a*b*c*d*e^4*x+6240*a*c^2*d^2*e^3*x-2860*b^3*d*e^4*x+6240*b^2*c*d^2*e^3*x-4800*b*c^2*d^3*e^2*x+1280*c^3*d^4*e*x+9009*a^2*b*e^5-5148*a^2*c*d*e^4-5148*a*b^2*d*e^4+6864*a*b*c*d^2*e^3-2496*a*c^2*d^3*e^2+1144*b^3*d^2*e^3-2496*b^2*c*d^3*e^2+1920*b*c^2*d^4*e-512*c^3*d^5)/e^6","A"
1603,1,359,228,0.055000," ","int((2*c*x+b)*(c*x^2+b*x+a)^2*(e*x+d)^(1/2),x)","\frac{2 \left(e x +d \right)^{\frac{3}{2}} \left(6930 c^{3} e^{5} x^{5}+20475 b \,c^{2} e^{5} x^{4}-6300 c^{3} d \,e^{4} x^{4}+20020 a \,c^{2} e^{5} x^{3}+20020 b^{2} c \,e^{5} x^{3}-18200 b \,c^{2} d \,e^{4} x^{3}+5600 c^{3} d^{2} e^{3} x^{3}+38610 a b c \,e^{5} x^{2}-17160 a \,c^{2} d \,e^{4} x^{2}+6435 b^{3} e^{5} x^{2}-17160 b^{2} c d \,e^{4} x^{2}+15600 b \,c^{2} d^{2} e^{3} x^{2}-4800 c^{3} d^{3} e^{2} x^{2}+18018 a^{2} c \,e^{5} x +18018 a \,b^{2} e^{5} x -30888 a b c d \,e^{4} x +13728 a \,c^{2} d^{2} e^{3} x -5148 b^{3} d \,e^{4} x +13728 b^{2} c \,d^{2} e^{3} x -12480 b \,c^{2} d^{3} e^{2} x +3840 c^{3} d^{4} e x +15015 a^{2} b \,e^{5}-12012 a^{2} c d \,e^{4}-12012 a \,b^{2} d \,e^{4}+20592 a b c \,d^{2} e^{3}-9152 a \,c^{2} d^{3} e^{2}+3432 b^{3} d^{2} e^{3}-9152 b^{2} c \,d^{3} e^{2}+8320 b \,c^{2} d^{4} e -2560 c^{3} d^{5}\right)}{45045 e^{6}}"," ",0,"2/45045*(e*x+d)^(3/2)*(6930*c^3*e^5*x^5+20475*b*c^2*e^5*x^4-6300*c^3*d*e^4*x^4+20020*a*c^2*e^5*x^3+20020*b^2*c*e^5*x^3-18200*b*c^2*d*e^4*x^3+5600*c^3*d^2*e^3*x^3+38610*a*b*c*e^5*x^2-17160*a*c^2*d*e^4*x^2+6435*b^3*e^5*x^2-17160*b^2*c*d*e^4*x^2+15600*b*c^2*d^2*e^3*x^2-4800*c^3*d^3*e^2*x^2+18018*a^2*c*e^5*x+18018*a*b^2*e^5*x-30888*a*b*c*d*e^4*x+13728*a*c^2*d^2*e^3*x-5148*b^3*d*e^4*x+13728*b^2*c*d^2*e^3*x-12480*b*c^2*d^3*e^2*x+3840*c^3*d^4*e*x+15015*a^2*b*e^5-12012*a^2*c*d*e^4-12012*a*b^2*d*e^4+20592*a*b*c*d^2*e^3-9152*a*c^2*d^3*e^2+3432*b^3*d^2*e^3-9152*b^2*c*d^3*e^2+8320*b*c^2*d^4*e-2560*c^3*d^5)/e^6","A"
1604,1,359,228,0.051000," ","int((2*c*x+b)*(c*x^2+b*x+a)^2/(e*x+d)^(1/2),x)","\frac{2 \sqrt{e x +d}\, \left(630 c^{3} e^{5} x^{5}+1925 b \,c^{2} e^{5} x^{4}-700 c^{3} d \,e^{4} x^{4}+1980 a \,c^{2} e^{5} x^{3}+1980 b^{2} c \,e^{5} x^{3}-2200 b \,c^{2} d \,e^{4} x^{3}+800 c^{3} d^{2} e^{3} x^{3}+4158 a b c \,e^{5} x^{2}-2376 a \,c^{2} d \,e^{4} x^{2}+693 b^{3} e^{5} x^{2}-2376 b^{2} c d \,e^{4} x^{2}+2640 b \,c^{2} d^{2} e^{3} x^{2}-960 c^{3} d^{3} e^{2} x^{2}+2310 a^{2} c \,e^{5} x +2310 a \,b^{2} e^{5} x -5544 a b c d \,e^{4} x +3168 a \,c^{2} d^{2} e^{3} x -924 b^{3} d \,e^{4} x +3168 b^{2} c \,d^{2} e^{3} x -3520 b \,c^{2} d^{3} e^{2} x +1280 c^{3} d^{4} e x +3465 a^{2} b \,e^{5}-4620 a^{2} c d \,e^{4}-4620 a \,b^{2} d \,e^{4}+11088 a b c \,d^{2} e^{3}-6336 a \,c^{2} d^{3} e^{2}+1848 b^{3} d^{2} e^{3}-6336 b^{2} c \,d^{3} e^{2}+7040 b \,c^{2} d^{4} e -2560 c^{3} d^{5}\right)}{3465 e^{6}}"," ",0,"2/3465*(e*x+d)^(1/2)*(630*c^3*e^5*x^5+1925*b*c^2*e^5*x^4-700*c^3*d*e^4*x^4+1980*a*c^2*e^5*x^3+1980*b^2*c*e^5*x^3-2200*b*c^2*d*e^4*x^3+800*c^3*d^2*e^3*x^3+4158*a*b*c*e^5*x^2-2376*a*c^2*d*e^4*x^2+693*b^3*e^5*x^2-2376*b^2*c*d*e^4*x^2+2640*b*c^2*d^2*e^3*x^2-960*c^3*d^3*e^2*x^2+2310*a^2*c*e^5*x+2310*a*b^2*e^5*x-5544*a*b*c*d*e^4*x+3168*a*c^2*d^2*e^3*x-924*b^3*d*e^4*x+3168*b^2*c*d^2*e^3*x-3520*b*c^2*d^3*e^2*x+1280*c^3*d^4*e*x+3465*a^2*b*e^5-4620*a^2*c*d*e^4-4620*a*b^2*d*e^4+11088*a*b*c*d^2*e^3-6336*a*c^2*d^3*e^2+1848*b^3*d^2*e^3-6336*b^2*c*d^3*e^2+7040*b*c^2*d^4*e-2560*c^3*d^5)/e^6","A"
1605,1,359,228,0.052000," ","int((2*c*x+b)*(c*x^2+b*x+a)^2/(e*x+d)^(3/2),x)","-\frac{2 \left(-70 c^{3} e^{5} x^{5}-225 b \,c^{2} e^{5} x^{4}+100 c^{3} d \,e^{4} x^{4}-252 a \,c^{2} e^{5} x^{3}-252 b^{2} c \,e^{5} x^{3}+360 b \,c^{2} d \,e^{4} x^{3}-160 c^{3} d^{2} e^{3} x^{3}-630 a b c \,e^{5} x^{2}+504 a \,c^{2} d \,e^{4} x^{2}-105 b^{3} e^{5} x^{2}+504 b^{2} c d \,e^{4} x^{2}-720 b \,c^{2} d^{2} e^{3} x^{2}+320 c^{3} d^{3} e^{2} x^{2}-630 a^{2} c \,e^{5} x -630 a \,b^{2} e^{5} x +2520 a b c d \,e^{4} x -2016 a \,c^{2} d^{2} e^{3} x +420 b^{3} d \,e^{4} x -2016 b^{2} c \,d^{2} e^{3} x +2880 b \,c^{2} d^{3} e^{2} x -1280 c^{3} d^{4} e x +315 a^{2} b \,e^{5}-1260 a^{2} c d \,e^{4}-1260 a \,b^{2} d \,e^{4}+5040 a b c \,d^{2} e^{3}-4032 a \,c^{2} d^{3} e^{2}+840 b^{3} d^{2} e^{3}-4032 b^{2} c \,d^{3} e^{2}+5760 b \,c^{2} d^{4} e -2560 c^{3} d^{5}\right)}{315 \sqrt{e x +d}\, e^{6}}"," ",0,"-2/315/(e*x+d)^(1/2)*(-70*c^3*e^5*x^5-225*b*c^2*e^5*x^4+100*c^3*d*e^4*x^4-252*a*c^2*e^5*x^3-252*b^2*c*e^5*x^3+360*b*c^2*d*e^4*x^3-160*c^3*d^2*e^3*x^3-630*a*b*c*e^5*x^2+504*a*c^2*d*e^4*x^2-105*b^3*e^5*x^2+504*b^2*c*d*e^4*x^2-720*b*c^2*d^2*e^3*x^2+320*c^3*d^3*e^2*x^2-630*a^2*c*e^5*x-630*a*b^2*e^5*x+2520*a*b*c*d*e^4*x-2016*a*c^2*d^2*e^3*x+420*b^3*d*e^4*x-2016*b^2*c*d^2*e^3*x+2880*b*c^2*d^3*e^2*x-1280*c^3*d^4*e*x+315*a^2*b*e^5-1260*a^2*c*d*e^4-1260*a*b^2*d*e^4+5040*a*b*c*d^2*e^3-4032*a*c^2*d^3*e^2+840*b^3*d^2*e^3-4032*b^2*c*d^3*e^2+5760*b*c^2*d^4*e-2560*c^3*d^5)/e^6","A"
1606,1,359,228,0.049000," ","int((2*c*x+b)*(c*x^2+b*x+a)^2/(e*x+d)^(5/2),x)","-\frac{2 \left(-6 c^{3} e^{5} x^{5}-21 b \,c^{2} e^{5} x^{4}+12 c^{3} d \,e^{4} x^{4}-28 a \,c^{2} e^{5} x^{3}-28 b^{2} c \,e^{5} x^{3}+56 b \,c^{2} d \,e^{4} x^{3}-32 c^{3} d^{2} e^{3} x^{3}-126 a b c \,e^{5} x^{2}+168 a \,c^{2} d \,e^{4} x^{2}-21 b^{3} e^{5} x^{2}+168 b^{2} c d \,e^{4} x^{2}-336 b \,c^{2} d^{2} e^{3} x^{2}+192 c^{3} d^{3} e^{2} x^{2}+42 a^{2} c \,e^{5} x +42 a \,b^{2} e^{5} x -504 a b c d \,e^{4} x +672 a \,c^{2} d^{2} e^{3} x -84 b^{3} d \,e^{4} x +672 b^{2} c \,d^{2} e^{3} x -1344 b \,c^{2} d^{3} e^{2} x +768 c^{3} d^{4} e x +7 a^{2} b \,e^{5}+28 a^{2} c d \,e^{4}+28 a \,b^{2} d \,e^{4}-336 a b c \,d^{2} e^{3}+448 a \,c^{2} d^{3} e^{2}-56 b^{3} d^{2} e^{3}+448 b^{2} c \,d^{3} e^{2}-896 b \,c^{2} d^{4} e +512 c^{3} d^{5}\right)}{21 \left(e x +d \right)^{\frac{3}{2}} e^{6}}"," ",0,"-2/21/(e*x+d)^(3/2)*(-6*c^3*e^5*x^5-21*b*c^2*e^5*x^4+12*c^3*d*e^4*x^4-28*a*c^2*e^5*x^3-28*b^2*c*e^5*x^3+56*b*c^2*d*e^4*x^3-32*c^3*d^2*e^3*x^3-126*a*b*c*e^5*x^2+168*a*c^2*d*e^4*x^2-21*b^3*e^5*x^2+168*b^2*c*d*e^4*x^2-336*b*c^2*d^2*e^3*x^2+192*c^3*d^3*e^2*x^2+42*a^2*c*e^5*x+42*a*b^2*e^5*x-504*a*b*c*d*e^4*x+672*a*c^2*d^2*e^3*x-84*b^3*d*e^4*x+672*b^2*c*d^2*e^3*x-1344*b*c^2*d^3*e^2*x+768*c^3*d^4*e*x+7*a^2*b*e^5+28*a^2*c*d*e^4+28*a*b^2*d*e^4-336*a*b*c*d^2*e^3+448*a*c^2*d^3*e^2-56*b^3*d^2*e^3+448*b^2*c*d^3*e^2-896*b*c^2*d^4*e+512*c^3*d^5)/e^6","A"
1607,1,795,395,0.054000," ","int((2*c*x+b)*(e*x+d)^(5/2)*(c*x^2+b*x+a)^3,x)","\frac{2 \left(e x +d \right)^{\frac{7}{2}} \left(277134 c^{4} e^{7} x^{7}+1072071 b \,c^{3} e^{7} x^{6}-204204 c^{4} d \,e^{6} x^{6}+1027026 a \,c^{3} e^{7} x^{5}+1540539 b^{2} c^{2} e^{7} x^{5}-756756 b \,c^{3} d \,e^{6} x^{5}+144144 c^{4} d^{2} e^{5} x^{5}+2909907 a b \,c^{2} e^{7} x^{4}-684684 a \,c^{3} d \,e^{6} x^{4}+969969 b^{3} c \,e^{7} x^{4}-1027026 b^{2} c^{2} d \,e^{6} x^{4}+504504 b \,c^{3} d^{2} e^{5} x^{4}-96096 c^{4} d^{3} e^{4} x^{4}+1343034 a^{2} c^{2} e^{7} x^{3}+2686068 a \,b^{2} c \,e^{7} x^{3}-1790712 a b \,c^{2} d \,e^{6} x^{3}+421344 a \,c^{3} d^{2} e^{5} x^{3}+223839 b^{4} e^{7} x^{3}-596904 b^{3} c d \,e^{6} x^{3}+632016 b^{2} c^{2} d^{2} e^{5} x^{3}-310464 b \,c^{3} d^{3} e^{4} x^{3}+59136 c^{4} d^{4} e^{3} x^{3}+2380833 a^{2} b c \,e^{7} x^{2}-732564 a^{2} c^{2} d \,e^{6} x^{2}+793611 a \,b^{3} e^{7} x^{2}-1465128 a \,b^{2} c d \,e^{6} x^{2}+976752 a b \,c^{2} d^{2} e^{5} x^{2}-229824 a \,c^{3} d^{3} e^{4} x^{2}-122094 b^{4} d \,e^{6} x^{2}+325584 b^{3} c \,d^{2} e^{5} x^{2}-344736 b^{2} c^{2} d^{3} e^{4} x^{2}+169344 b \,c^{3} d^{4} e^{3} x^{2}-32256 c^{4} d^{5} e^{2} x^{2}+646646 a^{3} c \,e^{7} x +969969 a^{2} b^{2} e^{7} x -1058148 a^{2} b c d \,e^{6} x +325584 a^{2} c^{2} d^{2} e^{5} x -352716 a \,b^{3} d \,e^{6} x +651168 a \,b^{2} c \,d^{2} e^{5} x -434112 a b \,c^{2} d^{3} e^{4} x +102144 a \,c^{3} d^{4} e^{3} x +54264 b^{4} d^{2} e^{5} x -144704 b^{3} c \,d^{3} e^{4} x +153216 b^{2} c^{2} d^{4} e^{3} x -75264 b \,c^{3} d^{5} e^{2} x +14336 c^{4} d^{6} e x +415701 b \,a^{3} e^{7}-184756 a^{3} c d \,e^{6}-277134 a^{2} b^{2} d \,e^{6}+302328 a^{2} b c \,d^{2} e^{5}-93024 a^{2} c^{2} d^{3} e^{4}+100776 a \,b^{3} d^{2} e^{5}-186048 a \,b^{2} c \,d^{3} e^{4}+124032 a b \,c^{2} d^{4} e^{3}-29184 a \,c^{3} d^{5} e^{2}-15504 b^{4} d^{3} e^{4}+41344 b^{3} c \,d^{4} e^{3}-43776 b^{2} c^{2} d^{5} e^{2}+21504 b \,c^{3} d^{6} e -4096 c^{4} d^{7}\right)}{2909907 e^{8}}"," ",0,"2/2909907*(e*x+d)^(7/2)*(277134*c^4*e^7*x^7+1072071*b*c^3*e^7*x^6-204204*c^4*d*e^6*x^6+1027026*a*c^3*e^7*x^5+1540539*b^2*c^2*e^7*x^5-756756*b*c^3*d*e^6*x^5+144144*c^4*d^2*e^5*x^5+2909907*a*b*c^2*e^7*x^4-684684*a*c^3*d*e^6*x^4+969969*b^3*c*e^7*x^4-1027026*b^2*c^2*d*e^6*x^4+504504*b*c^3*d^2*e^5*x^4-96096*c^4*d^3*e^4*x^4+1343034*a^2*c^2*e^7*x^3+2686068*a*b^2*c*e^7*x^3-1790712*a*b*c^2*d*e^6*x^3+421344*a*c^3*d^2*e^5*x^3+223839*b^4*e^7*x^3-596904*b^3*c*d*e^6*x^3+632016*b^2*c^2*d^2*e^5*x^3-310464*b*c^3*d^3*e^4*x^3+59136*c^4*d^4*e^3*x^3+2380833*a^2*b*c*e^7*x^2-732564*a^2*c^2*d*e^6*x^2+793611*a*b^3*e^7*x^2-1465128*a*b^2*c*d*e^6*x^2+976752*a*b*c^2*d^2*e^5*x^2-229824*a*c^3*d^3*e^4*x^2-122094*b^4*d*e^6*x^2+325584*b^3*c*d^2*e^5*x^2-344736*b^2*c^2*d^3*e^4*x^2+169344*b*c^3*d^4*e^3*x^2-32256*c^4*d^5*e^2*x^2+646646*a^3*c*e^7*x+969969*a^2*b^2*e^7*x-1058148*a^2*b*c*d*e^6*x+325584*a^2*c^2*d^2*e^5*x-352716*a*b^3*d*e^6*x+651168*a*b^2*c*d^2*e^5*x-434112*a*b*c^2*d^3*e^4*x+102144*a*c^3*d^4*e^3*x+54264*b^4*d^2*e^5*x-144704*b^3*c*d^3*e^4*x+153216*b^2*c^2*d^4*e^3*x-75264*b*c^3*d^5*e^2*x+14336*c^4*d^6*e*x+415701*a^3*b*e^7-184756*a^3*c*d*e^6-277134*a^2*b^2*d*e^6+302328*a^2*b*c*d^2*e^5-93024*a^2*c^2*d^3*e^4+100776*a*b^3*d^2*e^5-186048*a*b^2*c*d^3*e^4+124032*a*b*c^2*d^4*e^3-29184*a*c^3*d^5*e^2-15504*b^4*d^3*e^4+41344*b^3*c*d^4*e^3-43776*b^2*c^2*d^5*e^2+21504*b*c^3*d^6*e-4096*c^4*d^7)/e^8","B"
1608,1,795,395,0.049000," ","int((2*c*x+b)*(e*x+d)^(3/2)*(c*x^2+b*x+a)^3,x)","\frac{2 \left(e x +d \right)^{\frac{5}{2}} \left(510510 c^{4} e^{7} x^{7}+1996995 b \,c^{3} e^{7} x^{6}-420420 c^{4} d \,e^{6} x^{6}+1939938 a \,c^{3} e^{7} x^{5}+2909907 b^{2} c^{2} e^{7} x^{5}-1597596 b \,c^{3} d \,e^{6} x^{5}+336336 c^{4} d^{2} e^{5} x^{5}+5595975 a b \,c^{2} e^{7} x^{4}-1492260 a \,c^{3} d \,e^{6} x^{4}+1865325 b^{3} c \,e^{7} x^{4}-2238390 b^{2} c^{2} d \,e^{6} x^{4}+1228920 b \,c^{3} d^{2} e^{5} x^{4}-258720 c^{4} d^{3} e^{4} x^{4}+2645370 a^{2} c^{2} e^{7} x^{3}+5290740 a \,b^{2} c \,e^{7} x^{3}-4069800 a b \,c^{2} d \,e^{6} x^{3}+1085280 a \,c^{3} d^{2} e^{5} x^{3}+440895 b^{4} e^{7} x^{3}-1356600 b^{3} c d \,e^{6} x^{3}+1627920 b^{2} c^{2} d^{2} e^{5} x^{3}-893760 b \,c^{3} d^{3} e^{4} x^{3}+188160 c^{4} d^{4} e^{3} x^{3}+4849845 a^{2} b c \,e^{7} x^{2}-1763580 a^{2} c^{2} d \,e^{6} x^{2}+1616615 a \,b^{3} e^{7} x^{2}-3527160 a \,b^{2} c d \,e^{6} x^{2}+2713200 a b \,c^{2} d^{2} e^{5} x^{2}-723520 a \,c^{3} d^{3} e^{4} x^{2}-293930 b^{4} d \,e^{6} x^{2}+904400 b^{3} c \,d^{2} e^{5} x^{2}-1085280 b^{2} c^{2} d^{3} e^{4} x^{2}+595840 b \,c^{3} d^{4} e^{3} x^{2}-125440 c^{4} d^{5} e^{2} x^{2}+1385670 a^{3} c \,e^{7} x +2078505 a^{2} b^{2} e^{7} x -2771340 a^{2} b c d \,e^{6} x +1007760 a^{2} c^{2} d^{2} e^{5} x -923780 a \,b^{3} d \,e^{6} x +2015520 a \,b^{2} c \,d^{2} e^{5} x -1550400 a b \,c^{2} d^{3} e^{4} x +413440 a \,c^{3} d^{4} e^{3} x +167960 b^{4} d^{2} e^{5} x -516800 b^{3} c \,d^{3} e^{4} x +620160 b^{2} c^{2} d^{4} e^{3} x -340480 b \,c^{3} d^{5} e^{2} x +71680 c^{4} d^{6} e x +969969 b \,a^{3} e^{7}-554268 a^{3} c d \,e^{6}-831402 a^{2} b^{2} d \,e^{6}+1108536 a^{2} b c \,d^{2} e^{5}-403104 a^{2} c^{2} d^{3} e^{4}+369512 a \,b^{3} d^{2} e^{5}-806208 a \,b^{2} c \,d^{3} e^{4}+620160 a b \,c^{2} d^{4} e^{3}-165376 a \,c^{3} d^{5} e^{2}-67184 b^{4} d^{3} e^{4}+206720 b^{3} c \,d^{4} e^{3}-248064 b^{2} c^{2} d^{5} e^{2}+136192 b \,c^{3} d^{6} e -28672 c^{4} d^{7}\right)}{4849845 e^{8}}"," ",0,"2/4849845*(e*x+d)^(5/2)*(510510*c^4*e^7*x^7+1996995*b*c^3*e^7*x^6-420420*c^4*d*e^6*x^6+1939938*a*c^3*e^7*x^5+2909907*b^2*c^2*e^7*x^5-1597596*b*c^3*d*e^6*x^5+336336*c^4*d^2*e^5*x^5+5595975*a*b*c^2*e^7*x^4-1492260*a*c^3*d*e^6*x^4+1865325*b^3*c*e^7*x^4-2238390*b^2*c^2*d*e^6*x^4+1228920*b*c^3*d^2*e^5*x^4-258720*c^4*d^3*e^4*x^4+2645370*a^2*c^2*e^7*x^3+5290740*a*b^2*c*e^7*x^3-4069800*a*b*c^2*d*e^6*x^3+1085280*a*c^3*d^2*e^5*x^3+440895*b^4*e^7*x^3-1356600*b^3*c*d*e^6*x^3+1627920*b^2*c^2*d^2*e^5*x^3-893760*b*c^3*d^3*e^4*x^3+188160*c^4*d^4*e^3*x^3+4849845*a^2*b*c*e^7*x^2-1763580*a^2*c^2*d*e^6*x^2+1616615*a*b^3*e^7*x^2-3527160*a*b^2*c*d*e^6*x^2+2713200*a*b*c^2*d^2*e^5*x^2-723520*a*c^3*d^3*e^4*x^2-293930*b^4*d*e^6*x^2+904400*b^3*c*d^2*e^5*x^2-1085280*b^2*c^2*d^3*e^4*x^2+595840*b*c^3*d^4*e^3*x^2-125440*c^4*d^5*e^2*x^2+1385670*a^3*c*e^7*x+2078505*a^2*b^2*e^7*x-2771340*a^2*b*c*d*e^6*x+1007760*a^2*c^2*d^2*e^5*x-923780*a*b^3*d*e^6*x+2015520*a*b^2*c*d^2*e^5*x-1550400*a*b*c^2*d^3*e^4*x+413440*a*c^3*d^4*e^3*x+167960*b^4*d^2*e^5*x-516800*b^3*c*d^3*e^4*x+620160*b^2*c^2*d^4*e^3*x-340480*b*c^3*d^5*e^2*x+71680*c^4*d^6*e*x+969969*a^3*b*e^7-554268*a^3*c*d*e^6-831402*a^2*b^2*d*e^6+1108536*a^2*b*c*d^2*e^5-403104*a^2*c^2*d^3*e^4+369512*a*b^3*d^2*e^5-806208*a*b^2*c*d^3*e^4+620160*a*b*c^2*d^4*e^3-165376*a*c^3*d^5*e^2-67184*b^4*d^3*e^4+206720*b^3*c*d^4*e^3-248064*b^2*c^2*d^5*e^2+136192*b*c^3*d^6*e-28672*c^4*d^7)/e^8","B"
1609,1,795,395,0.053000," ","int((2*c*x+b)*(c*x^2+b*x+a)^3*(e*x+d)^(1/2),x)","\frac{2 \left(e x +d \right)^{\frac{3}{2}} \left(90090 c^{4} e^{7} x^{7}+357357 b \,c^{3} e^{7} x^{6}-84084 c^{4} d \,e^{6} x^{6}+353430 a \,c^{3} e^{7} x^{5}+530145 b^{2} c^{2} e^{7} x^{5}-329868 b \,c^{3} d \,e^{6} x^{5}+77616 c^{4} d^{2} e^{5} x^{5}+1044225 a b \,c^{2} e^{7} x^{4}-321300 a \,c^{3} d \,e^{6} x^{4}+348075 b^{3} c \,e^{7} x^{4}-481950 b^{2} c^{2} d \,e^{6} x^{4}+299880 b \,c^{3} d^{2} e^{5} x^{4}-70560 c^{4} d^{3} e^{4} x^{4}+510510 a^{2} c^{2} e^{7} x^{3}+1021020 a \,b^{2} c \,e^{7} x^{3}-928200 a b \,c^{2} d \,e^{6} x^{3}+285600 a \,c^{3} d^{2} e^{5} x^{3}+85085 b^{4} e^{7} x^{3}-309400 b^{3} c d \,e^{6} x^{3}+428400 b^{2} c^{2} d^{2} e^{5} x^{3}-266560 b \,c^{3} d^{3} e^{4} x^{3}+62720 c^{4} d^{4} e^{3} x^{3}+984555 a^{2} b c \,e^{7} x^{2}-437580 a^{2} c^{2} d \,e^{6} x^{2}+328185 a \,b^{3} e^{7} x^{2}-875160 a \,b^{2} c d \,e^{6} x^{2}+795600 a b \,c^{2} d^{2} e^{5} x^{2}-244800 a \,c^{3} d^{3} e^{4} x^{2}-72930 b^{4} d \,e^{6} x^{2}+265200 b^{3} c \,d^{2} e^{5} x^{2}-367200 b^{2} c^{2} d^{3} e^{4} x^{2}+228480 b \,c^{3} d^{4} e^{3} x^{2}-53760 c^{4} d^{5} e^{2} x^{2}+306306 a^{3} c \,e^{7} x +459459 a^{2} b^{2} e^{7} x -787644 a^{2} b c d \,e^{6} x +350064 a^{2} c^{2} d^{2} e^{5} x -262548 a \,b^{3} d \,e^{6} x +700128 a \,b^{2} c \,d^{2} e^{5} x -636480 a b \,c^{2} d^{3} e^{4} x +195840 a \,c^{3} d^{4} e^{3} x +58344 b^{4} d^{2} e^{5} x -212160 b^{3} c \,d^{3} e^{4} x +293760 b^{2} c^{2} d^{4} e^{3} x -182784 b \,c^{3} d^{5} e^{2} x +43008 c^{4} d^{6} e x +255255 b \,a^{3} e^{7}-204204 a^{3} c d \,e^{6}-306306 a^{2} b^{2} d \,e^{6}+525096 a^{2} b c \,d^{2} e^{5}-233376 a^{2} c^{2} d^{3} e^{4}+175032 a \,b^{3} d^{2} e^{5}-466752 a \,b^{2} c \,d^{3} e^{4}+424320 a b \,c^{2} d^{4} e^{3}-130560 a \,c^{3} d^{5} e^{2}-38896 b^{4} d^{3} e^{4}+141440 b^{3} c \,d^{4} e^{3}-195840 b^{2} c^{2} d^{5} e^{2}+121856 b \,c^{3} d^{6} e -28672 c^{4} d^{7}\right)}{765765 e^{8}}"," ",0,"2/765765*(e*x+d)^(3/2)*(90090*c^4*e^7*x^7+357357*b*c^3*e^7*x^6-84084*c^4*d*e^6*x^6+353430*a*c^3*e^7*x^5+530145*b^2*c^2*e^7*x^5-329868*b*c^3*d*e^6*x^5+77616*c^4*d^2*e^5*x^5+1044225*a*b*c^2*e^7*x^4-321300*a*c^3*d*e^6*x^4+348075*b^3*c*e^7*x^4-481950*b^2*c^2*d*e^6*x^4+299880*b*c^3*d^2*e^5*x^4-70560*c^4*d^3*e^4*x^4+510510*a^2*c^2*e^7*x^3+1021020*a*b^2*c*e^7*x^3-928200*a*b*c^2*d*e^6*x^3+285600*a*c^3*d^2*e^5*x^3+85085*b^4*e^7*x^3-309400*b^3*c*d*e^6*x^3+428400*b^2*c^2*d^2*e^5*x^3-266560*b*c^3*d^3*e^4*x^3+62720*c^4*d^4*e^3*x^3+984555*a^2*b*c*e^7*x^2-437580*a^2*c^2*d*e^6*x^2+328185*a*b^3*e^7*x^2-875160*a*b^2*c*d*e^6*x^2+795600*a*b*c^2*d^2*e^5*x^2-244800*a*c^3*d^3*e^4*x^2-72930*b^4*d*e^6*x^2+265200*b^3*c*d^2*e^5*x^2-367200*b^2*c^2*d^3*e^4*x^2+228480*b*c^3*d^4*e^3*x^2-53760*c^4*d^5*e^2*x^2+306306*a^3*c*e^7*x+459459*a^2*b^2*e^7*x-787644*a^2*b*c*d*e^6*x+350064*a^2*c^2*d^2*e^5*x-262548*a*b^3*d*e^6*x+700128*a*b^2*c*d^2*e^5*x-636480*a*b*c^2*d^3*e^4*x+195840*a*c^3*d^4*e^3*x+58344*b^4*d^2*e^5*x-212160*b^3*c*d^3*e^4*x+293760*b^2*c^2*d^4*e^3*x-182784*b*c^3*d^5*e^2*x+43008*c^4*d^6*e*x+255255*a^3*b*e^7-204204*a^3*c*d*e^6-306306*a^2*b^2*d*e^6+525096*a^2*b*c*d^2*e^5-233376*a^2*c^2*d^3*e^4+175032*a*b^3*d^2*e^5-466752*a*b^2*c*d^3*e^4+424320*a*b*c^2*d^4*e^3-130560*a*c^3*d^5*e^2-38896*b^4*d^3*e^4+141440*b^3*c*d^4*e^3-195840*b^2*c^2*d^5*e^2+121856*b*c^3*d^6*e-28672*c^4*d^7)/e^8","B"
1610,1,795,395,0.057000," ","int((2*c*x+b)*(c*x^2+b*x+a)^3/(e*x+d)^(1/2),x)","\frac{2 \sqrt{e x +d}\, \left(6006 c^{4} e^{7} x^{7}+24255 b \,c^{3} e^{7} x^{6}-6468 c^{4} d \,e^{6} x^{6}+24570 a \,c^{3} e^{7} x^{5}+36855 b^{2} c^{2} e^{7} x^{5}-26460 b \,c^{3} d \,e^{6} x^{5}+7056 c^{4} d^{2} e^{5} x^{5}+75075 a b \,c^{2} e^{7} x^{4}-27300 a \,c^{3} d \,e^{6} x^{4}+25025 b^{3} c \,e^{7} x^{4}-40950 b^{2} c^{2} d \,e^{6} x^{4}+29400 b \,c^{3} d^{2} e^{5} x^{4}-7840 c^{4} d^{3} e^{4} x^{4}+38610 a^{2} c^{2} e^{7} x^{3}+77220 a \,b^{2} c \,e^{7} x^{3}-85800 a b \,c^{2} d \,e^{6} x^{3}+31200 a \,c^{3} d^{2} e^{5} x^{3}+6435 b^{4} e^{7} x^{3}-28600 b^{3} c d \,e^{6} x^{3}+46800 b^{2} c^{2} d^{2} e^{5} x^{3}-33600 b \,c^{3} d^{3} e^{4} x^{3}+8960 c^{4} d^{4} e^{3} x^{3}+81081 a^{2} b c \,e^{7} x^{2}-46332 a^{2} c^{2} d \,e^{6} x^{2}+27027 a \,b^{3} e^{7} x^{2}-92664 a \,b^{2} c d \,e^{6} x^{2}+102960 a b \,c^{2} d^{2} e^{5} x^{2}-37440 a \,c^{3} d^{3} e^{4} x^{2}-7722 b^{4} d \,e^{6} x^{2}+34320 b^{3} c \,d^{2} e^{5} x^{2}-56160 b^{2} c^{2} d^{3} e^{4} x^{2}+40320 b \,c^{3} d^{4} e^{3} x^{2}-10752 c^{4} d^{5} e^{2} x^{2}+30030 a^{3} c \,e^{7} x +45045 a^{2} b^{2} e^{7} x -108108 a^{2} b c d \,e^{6} x +61776 a^{2} c^{2} d^{2} e^{5} x -36036 a \,b^{3} d \,e^{6} x +123552 a \,b^{2} c \,d^{2} e^{5} x -137280 a b \,c^{2} d^{3} e^{4} x +49920 a \,c^{3} d^{4} e^{3} x +10296 b^{4} d^{2} e^{5} x -45760 b^{3} c \,d^{3} e^{4} x +74880 b^{2} c^{2} d^{4} e^{3} x -53760 b \,c^{3} d^{5} e^{2} x +14336 c^{4} d^{6} e x +45045 b \,a^{3} e^{7}-60060 a^{3} c d \,e^{6}-90090 a^{2} b^{2} d \,e^{6}+216216 a^{2} b c \,d^{2} e^{5}-123552 a^{2} c^{2} d^{3} e^{4}+72072 a \,b^{3} d^{2} e^{5}-247104 a \,b^{2} c \,d^{3} e^{4}+274560 a b \,c^{2} d^{4} e^{3}-99840 a \,c^{3} d^{5} e^{2}-20592 b^{4} d^{3} e^{4}+91520 b^{3} c \,d^{4} e^{3}-149760 b^{2} c^{2} d^{5} e^{2}+107520 b \,c^{3} d^{6} e -28672 c^{4} d^{7}\right)}{45045 e^{8}}"," ",0,"2/45045*(e*x+d)^(1/2)*(6006*c^4*e^7*x^7+24255*b*c^3*e^7*x^6-6468*c^4*d*e^6*x^6+24570*a*c^3*e^7*x^5+36855*b^2*c^2*e^7*x^5-26460*b*c^3*d*e^6*x^5+7056*c^4*d^2*e^5*x^5+75075*a*b*c^2*e^7*x^4-27300*a*c^3*d*e^6*x^4+25025*b^3*c*e^7*x^4-40950*b^2*c^2*d*e^6*x^4+29400*b*c^3*d^2*e^5*x^4-7840*c^4*d^3*e^4*x^4+38610*a^2*c^2*e^7*x^3+77220*a*b^2*c*e^7*x^3-85800*a*b*c^2*d*e^6*x^3+31200*a*c^3*d^2*e^5*x^3+6435*b^4*e^7*x^3-28600*b^3*c*d*e^6*x^3+46800*b^2*c^2*d^2*e^5*x^3-33600*b*c^3*d^3*e^4*x^3+8960*c^4*d^4*e^3*x^3+81081*a^2*b*c*e^7*x^2-46332*a^2*c^2*d*e^6*x^2+27027*a*b^3*e^7*x^2-92664*a*b^2*c*d*e^6*x^2+102960*a*b*c^2*d^2*e^5*x^2-37440*a*c^3*d^3*e^4*x^2-7722*b^4*d*e^6*x^2+34320*b^3*c*d^2*e^5*x^2-56160*b^2*c^2*d^3*e^4*x^2+40320*b*c^3*d^4*e^3*x^2-10752*c^4*d^5*e^2*x^2+30030*a^3*c*e^7*x+45045*a^2*b^2*e^7*x-108108*a^2*b*c*d*e^6*x+61776*a^2*c^2*d^2*e^5*x-36036*a*b^3*d*e^6*x+123552*a*b^2*c*d^2*e^5*x-137280*a*b*c^2*d^3*e^4*x+49920*a*c^3*d^4*e^3*x+10296*b^4*d^2*e^5*x-45760*b^3*c*d^3*e^4*x+74880*b^2*c^2*d^4*e^3*x-53760*b*c^3*d^5*e^2*x+14336*c^4*d^6*e*x+45045*a^3*b*e^7-60060*a^3*c*d*e^6-90090*a^2*b^2*d*e^6+216216*a^2*b*c*d^2*e^5-123552*a^2*c^2*d^3*e^4+72072*a*b^3*d^2*e^5-247104*a*b^2*c*d^3*e^4+274560*a*b*c^2*d^4*e^3-99840*a*c^3*d^5*e^2-20592*b^4*d^3*e^4+91520*b^3*c*d^4*e^3-149760*b^2*c^2*d^5*e^2+107520*b*c^3*d^6*e-28672*c^4*d^7)/e^8","B"
1611,1,795,395,0.056000," ","int((2*c*x+b)*(c*x^2+b*x+a)^3/(e*x+d)^(3/2),x)","-\frac{2 \left(-2310 c^{4} e^{7} x^{7}-9555 b \,c^{3} e^{7} x^{6}+2940 c^{4} d \,e^{6} x^{6}-10010 a \,c^{3} e^{7} x^{5}-15015 b^{2} c^{2} e^{7} x^{5}+12740 b \,c^{3} d \,e^{6} x^{5}-3920 c^{4} d^{2} e^{5} x^{5}-32175 a b \,c^{2} e^{7} x^{4}+14300 a \,c^{3} d \,e^{6} x^{4}-10725 b^{3} c \,e^{7} x^{4}+21450 b^{2} c^{2} d \,e^{6} x^{4}-18200 b \,c^{3} d^{2} e^{5} x^{4}+5600 c^{4} d^{3} e^{4} x^{4}-18018 a^{2} c^{2} e^{7} x^{3}-36036 a \,b^{2} c \,e^{7} x^{3}+51480 a b \,c^{2} d \,e^{6} x^{3}-22880 a \,c^{3} d^{2} e^{5} x^{3}-3003 b^{4} e^{7} x^{3}+17160 b^{3} c d \,e^{6} x^{3}-34320 b^{2} c^{2} d^{2} e^{5} x^{3}+29120 b \,c^{3} d^{3} e^{4} x^{3}-8960 c^{4} d^{4} e^{3} x^{3}-45045 a^{2} b c \,e^{7} x^{2}+36036 a^{2} c^{2} d \,e^{6} x^{2}-15015 a \,b^{3} e^{7} x^{2}+72072 a \,b^{2} c d \,e^{6} x^{2}-102960 a b \,c^{2} d^{2} e^{5} x^{2}+45760 a \,c^{3} d^{3} e^{4} x^{2}+6006 b^{4} d \,e^{6} x^{2}-34320 b^{3} c \,d^{2} e^{5} x^{2}+68640 b^{2} c^{2} d^{3} e^{4} x^{2}-58240 b \,c^{3} d^{4} e^{3} x^{2}+17920 c^{4} d^{5} e^{2} x^{2}-30030 a^{3} c \,e^{7} x -45045 a^{2} b^{2} e^{7} x +180180 a^{2} b c d \,e^{6} x -144144 a^{2} c^{2} d^{2} e^{5} x +60060 a \,b^{3} d \,e^{6} x -288288 a \,b^{2} c \,d^{2} e^{5} x +411840 a b \,c^{2} d^{3} e^{4} x -183040 a \,c^{3} d^{4} e^{3} x -24024 b^{4} d^{2} e^{5} x +137280 b^{3} c \,d^{3} e^{4} x -274560 b^{2} c^{2} d^{4} e^{3} x +232960 b \,c^{3} d^{5} e^{2} x -71680 c^{4} d^{6} e x +15015 b \,a^{3} e^{7}-60060 a^{3} c d \,e^{6}-90090 a^{2} b^{2} d \,e^{6}+360360 a^{2} b c \,d^{2} e^{5}-288288 a^{2} c^{2} d^{3} e^{4}+120120 a \,b^{3} d^{2} e^{5}-576576 a \,b^{2} c \,d^{3} e^{4}+823680 a b \,c^{2} d^{4} e^{3}-366080 a \,c^{3} d^{5} e^{2}-48048 b^{4} d^{3} e^{4}+274560 b^{3} c \,d^{4} e^{3}-549120 b^{2} c^{2} d^{5} e^{2}+465920 b \,c^{3} d^{6} e -143360 c^{4} d^{7}\right)}{15015 \sqrt{e x +d}\, e^{8}}"," ",0,"-2/15015/(e*x+d)^(1/2)*(-2310*c^4*e^7*x^7-9555*b*c^3*e^7*x^6+2940*c^4*d*e^6*x^6-10010*a*c^3*e^7*x^5-15015*b^2*c^2*e^7*x^5+12740*b*c^3*d*e^6*x^5-3920*c^4*d^2*e^5*x^5-32175*a*b*c^2*e^7*x^4+14300*a*c^3*d*e^6*x^4-10725*b^3*c*e^7*x^4+21450*b^2*c^2*d*e^6*x^4-18200*b*c^3*d^2*e^5*x^4+5600*c^4*d^3*e^4*x^4-18018*a^2*c^2*e^7*x^3-36036*a*b^2*c*e^7*x^3+51480*a*b*c^2*d*e^6*x^3-22880*a*c^3*d^2*e^5*x^3-3003*b^4*e^7*x^3+17160*b^3*c*d*e^6*x^3-34320*b^2*c^2*d^2*e^5*x^3+29120*b*c^3*d^3*e^4*x^3-8960*c^4*d^4*e^3*x^3-45045*a^2*b*c*e^7*x^2+36036*a^2*c^2*d*e^6*x^2-15015*a*b^3*e^7*x^2+72072*a*b^2*c*d*e^6*x^2-102960*a*b*c^2*d^2*e^5*x^2+45760*a*c^3*d^3*e^4*x^2+6006*b^4*d*e^6*x^2-34320*b^3*c*d^2*e^5*x^2+68640*b^2*c^2*d^3*e^4*x^2-58240*b*c^3*d^4*e^3*x^2+17920*c^4*d^5*e^2*x^2-30030*a^3*c*e^7*x-45045*a^2*b^2*e^7*x+180180*a^2*b*c*d*e^6*x-144144*a^2*c^2*d^2*e^5*x+60060*a*b^3*d*e^6*x-288288*a*b^2*c*d^2*e^5*x+411840*a*b*c^2*d^3*e^4*x-183040*a*c^3*d^4*e^3*x-24024*b^4*d^2*e^5*x+137280*b^3*c*d^3*e^4*x-274560*b^2*c^2*d^4*e^3*x+232960*b*c^3*d^5*e^2*x-71680*c^4*d^6*e*x+15015*a^3*b*e^7-60060*a^3*c*d*e^6-90090*a^2*b^2*d*e^6+360360*a^2*b*c*d^2*e^5-288288*a^2*c^2*d^3*e^4+120120*a*b^3*d^2*e^5-576576*a*b^2*c*d^3*e^4+823680*a*b*c^2*d^4*e^3-366080*a*c^3*d^5*e^2-48048*b^4*d^3*e^4+274560*b^3*c*d^4*e^3-549120*b^2*c^2*d^5*e^2+465920*b*c^3*d^6*e-143360*c^4*d^7)/e^8","B"
1612,1,795,395,0.055000," ","int((2*c*x+b)*(c*x^2+b*x+a)^3/(e*x+d)^(5/2),x)","-\frac{2 \left(-126 c^{4} e^{7} x^{7}-539 b \,c^{3} e^{7} x^{6}+196 c^{4} d \,e^{6} x^{6}-594 a \,c^{3} e^{7} x^{5}-891 b^{2} c^{2} e^{7} x^{5}+924 b \,c^{3} d \,e^{6} x^{5}-336 c^{4} d^{2} e^{5} x^{5}-2079 a b \,c^{2} e^{7} x^{4}+1188 a \,c^{3} d \,e^{6} x^{4}-693 b^{3} c \,e^{7} x^{4}+1782 b^{2} c^{2} d \,e^{6} x^{4}-1848 b \,c^{3} d^{2} e^{5} x^{4}+672 c^{4} d^{3} e^{4} x^{4}-1386 a^{2} c^{2} e^{7} x^{3}-2772 a \,b^{2} c \,e^{7} x^{3}+5544 a b \,c^{2} d \,e^{6} x^{3}-3168 a \,c^{3} d^{2} e^{5} x^{3}-231 b^{4} e^{7} x^{3}+1848 b^{3} c d \,e^{6} x^{3}-4752 b^{2} c^{2} d^{2} e^{5} x^{3}+4928 b \,c^{3} d^{3} e^{4} x^{3}-1792 c^{4} d^{4} e^{3} x^{3}-6237 a^{2} b c \,e^{7} x^{2}+8316 a^{2} c^{2} d \,e^{6} x^{2}-2079 a \,b^{3} e^{7} x^{2}+16632 a \,b^{2} c d \,e^{6} x^{2}-33264 a b \,c^{2} d^{2} e^{5} x^{2}+19008 a \,c^{3} d^{3} e^{4} x^{2}+1386 b^{4} d \,e^{6} x^{2}-11088 b^{3} c \,d^{2} e^{5} x^{2}+28512 b^{2} c^{2} d^{3} e^{4} x^{2}-29568 b \,c^{3} d^{4} e^{3} x^{2}+10752 c^{4} d^{5} e^{2} x^{2}+1386 a^{3} c \,e^{7} x +2079 a^{2} b^{2} e^{7} x -24948 a^{2} b c d \,e^{6} x +33264 a^{2} c^{2} d^{2} e^{5} x -8316 a \,b^{3} d \,e^{6} x +66528 a \,b^{2} c \,d^{2} e^{5} x -133056 a b \,c^{2} d^{3} e^{4} x +76032 a \,c^{3} d^{4} e^{3} x +5544 b^{4} d^{2} e^{5} x -44352 b^{3} c \,d^{3} e^{4} x +114048 b^{2} c^{2} d^{4} e^{3} x -118272 b \,c^{3} d^{5} e^{2} x +43008 c^{4} d^{6} e x +231 b \,a^{3} e^{7}+924 a^{3} c d \,e^{6}+1386 a^{2} b^{2} d \,e^{6}-16632 a^{2} b c \,d^{2} e^{5}+22176 a^{2} c^{2} d^{3} e^{4}-5544 a \,b^{3} d^{2} e^{5}+44352 a \,b^{2} c \,d^{3} e^{4}-88704 a b \,c^{2} d^{4} e^{3}+50688 a \,c^{3} d^{5} e^{2}+3696 b^{4} d^{3} e^{4}-29568 b^{3} c \,d^{4} e^{3}+76032 b^{2} c^{2} d^{5} e^{2}-78848 b \,c^{3} d^{6} e +28672 c^{4} d^{7}\right)}{693 \left(e x +d \right)^{\frac{3}{2}} e^{8}}"," ",0,"-2/693/(e*x+d)^(3/2)*(-126*c^4*e^7*x^7-539*b*c^3*e^7*x^6+196*c^4*d*e^6*x^6-594*a*c^3*e^7*x^5-891*b^2*c^2*e^7*x^5+924*b*c^3*d*e^6*x^5-336*c^4*d^2*e^5*x^5-2079*a*b*c^2*e^7*x^4+1188*a*c^3*d*e^6*x^4-693*b^3*c*e^7*x^4+1782*b^2*c^2*d*e^6*x^4-1848*b*c^3*d^2*e^5*x^4+672*c^4*d^3*e^4*x^4-1386*a^2*c^2*e^7*x^3-2772*a*b^2*c*e^7*x^3+5544*a*b*c^2*d*e^6*x^3-3168*a*c^3*d^2*e^5*x^3-231*b^4*e^7*x^3+1848*b^3*c*d*e^6*x^3-4752*b^2*c^2*d^2*e^5*x^3+4928*b*c^3*d^3*e^4*x^3-1792*c^4*d^4*e^3*x^3-6237*a^2*b*c*e^7*x^2+8316*a^2*c^2*d*e^6*x^2-2079*a*b^3*e^7*x^2+16632*a*b^2*c*d*e^6*x^2-33264*a*b*c^2*d^2*e^5*x^2+19008*a*c^3*d^3*e^4*x^2+1386*b^4*d*e^6*x^2-11088*b^3*c*d^2*e^5*x^2+28512*b^2*c^2*d^3*e^4*x^2-29568*b*c^3*d^4*e^3*x^2+10752*c^4*d^5*e^2*x^2+1386*a^3*c*e^7*x+2079*a^2*b^2*e^7*x-24948*a^2*b*c*d*e^6*x+33264*a^2*c^2*d^2*e^5*x-8316*a*b^3*d*e^6*x+66528*a*b^2*c*d^2*e^5*x-133056*a*b*c^2*d^3*e^4*x+76032*a*c^3*d^4*e^3*x+5544*b^4*d^2*e^5*x-44352*b^3*c*d^3*e^4*x+114048*b^2*c^2*d^4*e^3*x-118272*b*c^3*d^5*e^2*x+43008*c^4*d^6*e*x+231*a^3*b*e^7+924*a^3*c*d*e^6+1386*a^2*b^2*d*e^6-16632*a^2*b*c*d^2*e^5+22176*a^2*c^2*d^3*e^4-5544*a*b^3*d^2*e^5+44352*a*b^2*c*d^3*e^4-88704*a*b*c^2*d^4*e^3+50688*a*c^3*d^5*e^2+3696*b^4*d^3*e^4-29568*b^3*c*d^4*e^3+76032*b^2*c^2*d^5*e^2-78848*b*c^3*d^6*e+28672*c^4*d^7)/e^8","B"
1613,1,1494,360,0.105000," ","int((2*c*x+b)*(e*x+d)^(3/2)/(c*x^2+b*x+a),x)","-\frac{4 \sqrt{2}\, a b \,e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{4 \sqrt{2}\, a b \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{8 \sqrt{2}\, a c d \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{8 \sqrt{2}\, a c d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{\sqrt{2}\, b^{3} e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}\, c}+\frac{\sqrt{2}\, b^{3} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}\, c}-\frac{2 \sqrt{2}\, b^{2} d \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{2 \sqrt{2}\, b^{2} d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{2 \sqrt{2}\, a \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{2 \sqrt{2}\, a \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{\sqrt{2}\, b^{2} e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}\, c}+\frac{\sqrt{2}\, b^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}\, c}+\frac{2 \sqrt{2}\, b d e \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{2 \sqrt{2}\, b d e \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{2 \sqrt{2}\, c \,d^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{2 \sqrt{2}\, c \,d^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{2 \sqrt{e x +d}\, b e}{c}+4 \sqrt{e x +d}\, d +\frac{4 \left(e x +d \right)^{\frac{3}{2}}}{3}"," ",0,"4/3*(e*x+d)^(3/2)-2/c*b*e*(e*x+d)^(1/2)+4*(e*x+d)^(1/2)*d-4/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a*b*e^3+8*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a*d*e^2+1/c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^3*e^3-2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2*d*e^2+2*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a*e^2-1/c*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2*e^2+2*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b*d*e-2*c*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d^2-4/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a*b*e^3+8*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a*d*e^2+1/c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^3*e^3-2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2*d*e^2-2*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a*e^2+1/c*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2*e^2-2*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b*d*e+2*c*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d^2","B"
1614,1,724,241,0.088000," ","int((2*c*x+b)*(e*x+d)^(1/2)/(c*x^2+b*x+a),x)","\frac{4 \sqrt{2}\, a c \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{4 \sqrt{2}\, a c \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{\sqrt{2}\, b^{2} e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{\sqrt{2}\, b^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{\sqrt{2}\, b e \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{\sqrt{2}\, b e \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{2 \sqrt{2}\, c d \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{2 \sqrt{2}\, c d \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+4 \sqrt{e x +d}"," ",0,"4*(e*x+d)^(1/2)+4*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a*e^2-1/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2*e^2+2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b*e-2*c*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d+4*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a*e^2-1/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2*e^2-2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b*e+2*c*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d","B"
1615,1,158,139,0.073000," ","int((2*c*x+b)/(c*x^2+b*x+a)/(e*x+d)^(1/2),x)","-\frac{2 \sqrt{2}\, c \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{2 \sqrt{2}\, c \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}"," ",0,"-2*c*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)+2*c*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)","A"
1616,1,927,304,0.112000," ","int((2*c*x+b)/(e*x+d)^(3/2)/(c*x^2+b*x+a),x)","-\frac{4 \sqrt{2}\, a \,c^{2} e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{4 \sqrt{2}\, a \,c^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{\sqrt{2}\, b^{2} c \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{\sqrt{2}\, b^{2} c \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{\sqrt{2}\, b c e \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{\sqrt{2}\, b c e \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{2 \sqrt{2}\, c^{2} d \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{2 \sqrt{2}\, c^{2} d \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{2 b e}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{e x +d}}+\frac{4 c d}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{e x +d}}"," ",0,"-4/(a*e^2-b*d*e+c*d^2)*c^2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a*e^2+1/(a*e^2-b*d*e+c*d^2)*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2*e^2+1/(a*e^2-b*d*e+c*d^2)*c*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b*e-2/(a*e^2-b*d*e+c*d^2)*c^2*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d-4/(a*e^2-b*d*e+c*d^2)*c^2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a*e^2+1/(a*e^2-b*d*e+c*d^2)*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2*e^2-1/(a*e^2-b*d*e+c*d^2)*c*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b*e+2/(a*e^2-b*d*e+c*d^2)*c^2*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d-2/(a*e^2-b*d*e+c*d^2)/(e*x+d)^(1/2)*b*e+4/(a*e^2-b*d*e+c*d^2)/(e*x+d)^(1/2)*c*d","B"
1617,1,1962,456,0.137000," ","int((2*c*x+b)/(e*x+d)^(5/2)/(c*x^2+b*x+a),x)","\frac{4 \sqrt{2}\, a b \,c^{2} e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{4 \sqrt{2}\, a b \,c^{2} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{8 \sqrt{2}\, a \,c^{3} d \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{8 \sqrt{2}\, a \,c^{3} d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{\sqrt{2}\, b^{3} c \,e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{\sqrt{2}\, b^{3} c \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{2 \sqrt{2}\, b^{2} c^{2} d \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{2 \sqrt{2}\, b^{2} c^{2} d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{2 \sqrt{2}\, a \,c^{2} e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{2 \sqrt{2}\, a \,c^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{\sqrt{2}\, b^{2} c \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{\sqrt{2}\, b^{2} c \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{2 \sqrt{2}\, b \,c^{2} d e \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{2 \sqrt{2}\, b \,c^{2} d e \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{2 \sqrt{2}\, c^{3} d^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{2 \sqrt{2}\, c^{3} d^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{4 a c \,e^{2}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{e x +d}}+\frac{2 b^{2} e^{2}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{e x +d}}-\frac{4 b c d e}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{e x +d}}+\frac{4 c^{2} d^{2}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{e x +d}}-\frac{2 b e}{3 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(e x +d \right)^{\frac{3}{2}}}+\frac{4 c d}{3 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(e x +d \right)^{\frac{3}{2}}}"," ",0,"4/(a*e^2-b*d*e+c*d^2)^2*c^2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a*b*e^3-8/(a*e^2-b*d*e+c*d^2)^2*c^3/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a*d*e^2-1/(a*e^2-b*d*e+c*d^2)^2*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^3*e^3+2/(a*e^2-b*d*e+c*d^2)^2*c^2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2*d*e^2+2/(a*e^2-b*d*e+c*d^2)^2*c^2*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a*e^2-1/(a*e^2-b*d*e+c*d^2)^2*c*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2*e^2+2/(a*e^2-b*d*e+c*d^2)^2*c^2*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b*d*e-2/(a*e^2-b*d*e+c*d^2)^2*c^3*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d^2+4/(a*e^2-b*d*e+c*d^2)^2*c^2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a*b*e^3-8/(a*e^2-b*d*e+c*d^2)^2*c^3/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a*d*e^2-1/(a*e^2-b*d*e+c*d^2)^2*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^3*e^3+2/(a*e^2-b*d*e+c*d^2)^2*c^2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2*d*e^2-2/(a*e^2-b*d*e+c*d^2)^2*c^2*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a*e^2+1/(a*e^2-b*d*e+c*d^2)^2*c*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2*e^2-2/(a*e^2-b*d*e+c*d^2)^2*c^2*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b*d*e+2/(a*e^2-b*d*e+c*d^2)^2*c^3*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d^2-2/3/(a*e^2-b*d*e+c*d^2)/(e*x+d)^(3/2)*b*e+4/3/(a*e^2-b*d*e+c*d^2)/(e*x+d)^(3/2)*c*d-4/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^(1/2)*a*c*e^2+2/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^(1/2)*b^2*e^2-4/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^(1/2)*b*c*d*e+4/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^(1/2)*c^2*d^2","B"
1618,1,1333,298,0.207000," ","int((2*c*x+b)*(e*x+d)^(5/2)/(c*x^2+b*x+a)^2,x)","\frac{5 \sqrt{2}\, a \,e^{4} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{5 \sqrt{2}\, a \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{5 \sqrt{2}\, b^{2} e^{4} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{2 \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}\, c}-\frac{5 \sqrt{2}\, b^{2} e^{4} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{2 \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}\, c}+\frac{5 \sqrt{2}\, b d \,e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{5 \sqrt{2}\, b d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{5 \sqrt{2}\, c \,d^{2} e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{5 \sqrt{2}\, c \,d^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{\sqrt{e x +d}\, a \,e^{4}}{\left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right) c}-\frac{\sqrt{e x +d}\, b d \,e^{3}}{\left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right) c}+\frac{5 \sqrt{2}\, b \,e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{2 \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}\, c}-\frac{5 \sqrt{2}\, b \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{2 \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}\, c}+\frac{\sqrt{e x +d}\, d^{2} e^{2}}{c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}}-\frac{5 \sqrt{2}\, d \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{5 \sqrt{2}\, d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{\left(e x +d \right)^{\frac{3}{2}} b \,e^{3}}{\left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right) c}-\frac{2 \left(e x +d \right)^{\frac{3}{2}} d \,e^{2}}{c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}}+\frac{4 \sqrt{e x +d}\, e^{2}}{c}"," ",0,"4*e^2*(e*x+d)^(1/2)/c+e^3/c/(c*e^2*x^2+b*e^2*x+a*e^2)*(e*x+d)^(3/2)*b-2*e^2/(c*e^2*x^2+b*e^2*x+a*e^2)*(e*x+d)^(3/2)*d+e^4/c/(c*e^2*x^2+b*e^2*x+a*e^2)*(e*x+d)^(1/2)*a-e^3/c/(c*e^2*x^2+b*e^2*x+a*e^2)*(e*x+d)^(1/2)*b*d+e^2/(c*e^2*x^2+b*e^2*x+a*e^2)*(e*x+d)^(1/2)*d^2+5*e^4/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a-5/2*e^4/c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2+5*e^3/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b*d-5*e^2*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d^2+5/2*e^3/c*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b-5*e^2*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d+5*e^4/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a-5/2*e^4/c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2+5*e^3/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b*d-5*e^2*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d^2-5/2*e^3/c*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b+5*e^2*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d","B"
1619,1,590,182,0.089000," ","int((2*c*x+b)*(e*x+d)^(3/2)/(c*x^2+b*x+a)^2,x)","\frac{3 \sqrt{2}\, b \,e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{2 \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{3 \sqrt{2}\, b \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{2 \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{3 \sqrt{2}\, c d \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{3 \sqrt{2}\, c d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{3 \sqrt{2}\, e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{2 \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{3 \sqrt{2}\, e^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{2 \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{\left(e x +d \right)^{\frac{3}{2}} e^{2}}{c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}}"," ",0,"-e^2*(e*x+d)^(3/2)/(c*e^2*x^2+b*e^2*x+a*e^2)+3/2*e^3/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b-3*e^2*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d-3/2*e^2*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)+3/2*e^3/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b-3*e^2*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d+3/2*e^2*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)","B"
1620,1,232,181,0.086000," ","int((2*c*x+b)*(e*x+d)^(1/2)/(c*x^2+b*x+a)^2,x)","-\frac{\sqrt{2}\, c \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{\sqrt{2}\, c \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{\sqrt{e x +d}\, e^{2}}{c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}}"," ",0,"-e^2*(e*x+d)^(1/2)/(c*e^2*x^2+b*e^2*x+a*e^2)-e^2*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)-e^2*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)","A"
1621,1,469,319,0.084000," ","int((2*c*x+b)/(c*x^2+b*x+a)^2/(e*x+d)^(1/2),x)","-\frac{2 \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{2}\, c^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{2 \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{2}\, c^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{4 \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{e x +d}\, c^{2}}{\left(4 a c -b^{2}\right) \left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) \left(-2 c e x -b e +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right)}+\frac{4 \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{e x +d}\, c^{2}}{\left(4 a c -b^{2}\right) \left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) \left(2 c e x +b e +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right)}"," ",0,"-4*c^2/(4*a*c-b^2)*(-(4*a*c-b^2)*e^2)^(1/2)*(e*x+d)^(1/2)/(-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))/(-2*c*e*x-b*e+(-(4*a*c-b^2)*e^2)^(1/2))-2*c^2/(4*a*c-b^2)*(-(4*a*c-b^2)*e^2)^(1/2)/(-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)+4*c^2/(4*a*c-b^2)*(-(4*a*c-b^2)*e^2)^(1/2)*(e*x+d)^(1/2)/(b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))/(2*c*e*x+b*e+(-(4*a*c-b^2)*e^2)^(1/2))+2*c^2/(4*a*c-b^2)*(-(4*a*c-b^2)*e^2)^(1/2)/(b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)","A"
1622,1,1758,416,0.145000," ","int((2*c*x+b)/(e*x+d)^(3/2)/(c*x^2+b*x+a)^2,x)","-\frac{3 \sqrt{2}\, a \,c^{2} e^{4} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{3 \sqrt{2}\, a \,c^{2} e^{4} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{3 \sqrt{2}\, b^{2} c \,e^{4} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{3 \sqrt{2}\, b^{2} c \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{3 \sqrt{2}\, b \,c^{2} d \,e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{3 \sqrt{2}\, b \,c^{2} d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{3 \sqrt{2}\, c^{3} d^{2} e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{3 \sqrt{2}\, c^{3} d^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{\sqrt{e x +d}\, a c \,e^{4}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)}-\frac{\sqrt{e x +d}\, b^{2} e^{4}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)}+\frac{3 \sqrt{e x +d}\, b c d \,e^{3}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)}+\frac{3 \sqrt{2}\, b c \,e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{3 \sqrt{2}\, b c \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{3 \sqrt{e x +d}\, c^{2} d^{2} e^{2}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)}-\frac{3 \sqrt{2}\, c^{2} d \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{3 \sqrt{2}\, c^{2} d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{\left(e x +d \right)^{\frac{3}{2}} b c \,e^{3}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} c^{2} d \,e^{2}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)}-\frac{2 b \,e^{3}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{e x +d}}+\frac{4 c d \,e^{2}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{e x +d}}"," ",0,"-e^3/(a*e^2-b*d*e+c*d^2)^2/(c*e^2*x^2+b*e^2*x+a*e^2)*(e*x+d)^(3/2)*b*c+2*e^2/(a*e^2-b*d*e+c*d^2)^2/(c*e^2*x^2+b*e^2*x+a*e^2)*(e*x+d)^(3/2)*c^2*d+e^4/(a*e^2-b*d*e+c*d^2)^2/(c*e^2*x^2+b*e^2*x+a*e^2)*(e*x+d)^(1/2)*a*c-e^4/(a*e^2-b*d*e+c*d^2)^2/(c*e^2*x^2+b*e^2*x+a*e^2)*(e*x+d)^(1/2)*b^2+3*e^3/(a*e^2-b*d*e+c*d^2)^2/(c*e^2*x^2+b*e^2*x+a*e^2)*(e*x+d)^(1/2)*b*c*d-3*e^2/(a*e^2-b*d*e+c*d^2)^2/(c*e^2*x^2+b*e^2*x+a*e^2)*(e*x+d)^(1/2)*c^2*d^2-3*e^4/(a*e^2-b*d*e+c*d^2)^2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a*c^2+3/2*e^4/(a*e^2-b*d*e+c*d^2)^2*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2-3*e^3/(a*e^2-b*d*e+c*d^2)^2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b*c^2*d+3*e^2/(a*e^2-b*d*e+c*d^2)^2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*c^3*d^2+3/2*e^3/(a*e^2-b*d*e+c*d^2)^2*c*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b-3*e^2/(a*e^2-b*d*e+c*d^2)^2*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*c^2*d-3*e^4/(a*e^2-b*d*e+c*d^2)^2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a*c^2+3/2*e^4/(a*e^2-b*d*e+c*d^2)^2*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2-3*e^3/(a*e^2-b*d*e+c*d^2)^2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b*c^2*d+3*e^2/(a*e^2-b*d*e+c*d^2)^2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*c^3*d^2-3/2*e^3/(a*e^2-b*d*e+c*d^2)^2*c*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b+3*e^2/(a*e^2-b*d*e+c*d^2)^2*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*c^2*d-2*e^3/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^(1/2)*b+4*e^2/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^(1/2)*c*d","B"
1623,1,3503,471,0.149000," ","int((2*c*x+b)*(e*x+d)^(7/2)/(c*x^2+b*x+a)^3,x)","\text{output too large to display}"," ",0,"-14*e^4/(4*a*c-b^2)*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a*d+21/2*e^3/(4*a*c-b^2)*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b*d^2-14*e^4/(4*a*c-b^2)*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a*d+21/2*e^3/(4*a*c-b^2)*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b*d^2+21/4*e^4/(4*a*c-b^2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a-35/4*e^4/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(5/2)*b^2*d-11/2*e^4/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(7/2)*a*c+14*e^4/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(3/2)*b^2*d^2-7/8*e^5/(4*a*c-b^2)/c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^3-7/4*e^4/(4*a*c-b^2)/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2*d-7/2*e^6/(c*e^2*x^2+b*e^2*x+a*e^2)^2/c/(4*a*c-b^2)*(e*x+d)^(1/2)*a*b^2*d-7*e^2/(4*a*c-b^2)*c^2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d^3+7*e^5/(4*a*c-b^2)/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a*b-7/8*e^5/(4*a*c-b^2)/c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^3-7*e^2/(4*a*c-b^2)*c^2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d^3-7/4*e^4/(4*a*c-b^2)/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2*d+7*e^5/(4*a*c-b^2)/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a*b+9/4*e^4/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(7/2)*b^2-7/2*e^6/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(3/2)*a^2-7*e^4/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(1/2)*b^2*d^3+21/2*e^2/(c*e^2*x^2+b*e^2*x+a*e^2)^2*c^2/(4*a*c-b^2)*(e*x+d)^(3/2)*d^4-7/2*e^2/(c*e^2*x^2+b*e^2*x+a*e^2)^2*c^2/(4*a*c-b^2)*(e*x+d)^(1/2)*d^5-7/4*e^5/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(5/2)*a*b+7/2*e^2/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(7/2)*c^2*d^2+7/4*e^5/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)/c*(e*x+d)^(5/2)*b^3-21/4*e^4/(4*a*c-b^2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a-21/2*e^2/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*c^2*(e*x+d)^(5/2)*d^3-7/2*e^6/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(1/2)*a^2*d-7/4*e^3/(4*a*c-b^2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b*d+7/8*e^4/(4*a*c-b^2)/c*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2+7/4*e^3/(4*a*c-b^2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b*d-7/4*e^2/(4*a*c-b^2)*c*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d^2+63/4*e^3/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*c*(e*x+d)^(5/2)*b*d^2+7/2*e^6/(c*e^2*x^2+b*e^2*x+a*e^2)^2/c/(4*a*c-b^2)*(e*x+d)^(3/2)*a*b^2-7/2*e^5/(c*e^2*x^2+b*e^2*x+a*e^2)^2/c/(4*a*c-b^2)*(e*x+d)^(3/2)*b^3*d+7/2*e^4/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*c*(e*x+d)^(5/2)*a*d-21*e^3/(c*e^2*x^2+b*e^2*x+a*e^2)^2*c/(4*a*c-b^2)*(e*x+d)^(3/2)*b*d^3+7/4*e^5/(c*e^2*x^2+b*e^2*x+a*e^2)^2/c/(4*a*c-b^2)*(e*x+d)^(1/2)*b^3*d^2+21/2*e^5/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(1/2)*a*b*d^2-7*e^5/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(3/2)*a*b*d+7/4*e^2/(4*a*c-b^2)*c*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d^2-7/8*e^4/(4*a*c-b^2)/c*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2+7/4*e^7/(c*e^2*x^2+b*e^2*x+a*e^2)^2/c/(4*a*c-b^2)*(e*x+d)^(1/2)*a^2*b+7*e^4/(c*e^2*x^2+b*e^2*x+a*e^2)^2*c/(4*a*c-b^2)*(e*x+d)^(3/2)*a*d^2-7*e^4/(c*e^2*x^2+b*e^2*x+a*e^2)^2*c/(4*a*c-b^2)*(e*x+d)^(1/2)*a*d^3+35/4*e^3/(c*e^2*x^2+b*e^2*x+a*e^2)^2*c/(4*a*c-b^2)*(e*x+d)^(1/2)*b*d^4-7/2*e^3/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(7/2)*b*c*d","B"
1624,1,2126,338,0.148000," ","int((2*c*x+b)*(e*x+d)^(5/2)/(c*x^2+b*x+a)^3,x)","-\frac{5 \sqrt{e x +d}\, a^{2} e^{6}}{2 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}+\frac{5 \sqrt{e x +d}\, a b d \,e^{5}}{\left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}-\frac{5 \sqrt{e x +d}\, a c \,d^{2} e^{4}}{\left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}-\frac{5 \sqrt{e x +d}\, b^{2} d^{2} e^{4}}{2 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}+\frac{5 \sqrt{e x +d}\, b c \,d^{3} e^{3}}{\left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}-\frac{5 \sqrt{e x +d}\, c^{2} d^{4} e^{2}}{2 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}-\frac{15 \left(e x +d \right)^{\frac{3}{2}} a b \,e^{5}}{4 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}+\frac{15 \left(e x +d \right)^{\frac{3}{2}} a c d \,e^{4}}{2 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}-\frac{5 \sqrt{2}\, a c \,e^{4} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{5 \sqrt{2}\, a c \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{15 \left(e x +d \right)^{\frac{3}{2}} b^{2} d \,e^{4}}{4 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}-\frac{5 \sqrt{2}\, b^{2} e^{4} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{8 \left(4 a c -b^{2}\right) \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{5 \sqrt{2}\, b^{2} e^{4} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{8 \left(4 a c -b^{2}\right) \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{45 \left(e x +d \right)^{\frac{3}{2}} b c \,d^{2} e^{3}}{4 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}+\frac{5 \sqrt{2}\, b c d \,e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{5 \sqrt{2}\, b c d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{15 \left(e x +d \right)^{\frac{3}{2}} c^{2} d^{3} e^{2}}{2 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}-\frac{5 \sqrt{2}\, c^{2} d^{2} e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{5 \sqrt{2}\, c^{2} d^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{9 \left(e x +d \right)^{\frac{5}{2}} a c \,e^{4}}{2 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}-\frac{3 \left(e x +d \right)^{\frac{5}{2}} b^{2} e^{4}}{4 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}+\frac{15 \left(e x +d \right)^{\frac{5}{2}} b c d \,e^{3}}{2 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}-\frac{15 \left(e x +d \right)^{\frac{5}{2}} c^{2} d^{2} e^{2}}{2 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}-\frac{5 \left(e x +d \right)^{\frac{7}{2}} b c \,e^{3}}{4 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}+\frac{5 \sqrt{2}\, b \,e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{8 \left(4 a c -b^{2}\right) \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{5 \sqrt{2}\, b \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{8 \left(4 a c -b^{2}\right) \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{5 \left(e x +d \right)^{\frac{7}{2}} c^{2} d \,e^{2}}{2 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}-\frac{5 \sqrt{2}\, c d \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right) \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{5 \sqrt{2}\, c d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right) \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}"," ",0,"5*e^3/(4*a*c-b^2)*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b*d+5*e^3/(4*a*c-b^2)*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b*d-5/2*e^4/(4*a*c-b^2)*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a-5*e^2/(4*a*c-b^2)*c^2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d^2-5/2*e^4/(4*a*c-b^2)*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a-5*e^2/(4*a*c-b^2)*c^2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d^2-5/8*e^3/(4*a*c-b^2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b+5/8*e^3/(4*a*c-b^2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b-5/4*e^3/(c*e^2*x^2+b*e^2*x+a*e^2)^2*c/(4*a*c-b^2)*(e*x+d)^(7/2)*b+5/2*e^2/(c*e^2*x^2+b*e^2*x+a*e^2)^2*c^2/(4*a*c-b^2)*(e*x+d)^(7/2)*d-15/2*e^2/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(5/2)*c^2*d^2-15/4*e^5/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(3/2)*a*b+15/2*e^2/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(3/2)*c^2*d^3-5/2*e^2/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(1/2)*c^2*d^4-9/2*e^4/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(5/2)*a*c+15/4*e^4/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(3/2)*b^2*d-5/2*e^4/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(1/2)*b^2*d^2-5/2*e^6/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(1/2)*a^2-3/4*e^4/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(5/2)*b^2-45/4*e^3/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(3/2)*b*c*d^2-5/8*e^4/(4*a*c-b^2)/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2+5*e^3/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(1/2)*b*c*d^3+5*e^5/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(1/2)*a*b*d+15/2*e^3/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(5/2)*b*c*d-5/4*e^2/(4*a*c-b^2)*c*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d+5/4*e^2/(4*a*c-b^2)*c*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d-5/8*e^4/(4*a*c-b^2)/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2+15/2*e^4/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(3/2)*a*c*d-5*e^4/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(1/2)*a*c*d^2","B"
1625,1,1231,266,0.178000," ","int((2*c*x+b)*(e*x+d)^(3/2)/(c*x^2+b*x+a)^3,x)","\frac{3 \sqrt{e x +d}\, a b \,e^{5}}{4 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}-\frac{3 \sqrt{e x +d}\, a c d \,e^{4}}{2 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}-\frac{3 \sqrt{e x +d}\, b^{2} d \,e^{4}}{4 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}+\frac{9 \sqrt{e x +d}\, b c \,d^{2} e^{3}}{4 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}-\frac{3 \sqrt{e x +d}\, c^{2} d^{3} e^{2}}{2 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}-\frac{\left(e x +d \right)^{\frac{3}{2}} a c \,e^{4}}{2 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}+\frac{5 \left(e x +d \right)^{\frac{3}{2}} b^{2} e^{4}}{4 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}-\frac{9 \left(e x +d \right)^{\frac{3}{2}} b c d \,e^{3}}{2 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}+\frac{3 \sqrt{2}\, b c \,e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{3 \sqrt{2}\, b c \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{9 \left(e x +d \right)^{\frac{3}{2}} c^{2} d^{2} e^{2}}{2 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}-\frac{3 \sqrt{2}\, c^{2} d \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{3 \sqrt{2}\, c^{2} d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{9 \left(e x +d \right)^{\frac{5}{2}} b c \,e^{3}}{4 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}-\frac{9 \left(e x +d \right)^{\frac{5}{2}} c^{2} d \,e^{2}}{2 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}+\frac{3 \left(e x +d \right)^{\frac{7}{2}} c^{2} e^{2}}{2 \left(c \,e^{2} x^{2}+b \,e^{2} x +a \,e^{2}\right)^{2} \left(4 a c -b^{2}\right)}-\frac{3 \sqrt{2}\, c \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right) \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{3 \sqrt{2}\, c \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right) \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}"," ",0,"3/2*e^2/(c*e^2*x^2+b*e^2*x+a*e^2)^2*c^2/(4*a*c-b^2)*(e*x+d)^(7/2)+9/4*e^3/(c*e^2*x^2+b*e^2*x+a*e^2)^2*c/(4*a*c-b^2)*(e*x+d)^(5/2)*b-9/2*e^2/(c*e^2*x^2+b*e^2*x+a*e^2)^2*c^2/(4*a*c-b^2)*(e*x+d)^(5/2)*d-1/2*e^4/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(3/2)*a*c+5/4*e^4/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(3/2)*b^2-9/2*e^3/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(3/2)*b*c*d+9/2*e^2/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(3/2)*c^2*d^2+3/4*e^5/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(1/2)*a*b-3/2*e^4/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(1/2)*a*c*d-3/4*e^4/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(1/2)*b^2*d+9/4*e^3/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(1/2)*b*c*d^2-3/2*e^2/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(1/2)*c^2*d^3+3/2*e^3/(4*a*c-b^2)*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b-3*e^2/(4*a*c-b^2)*c^2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d-3/4*e^2/(4*a*c-b^2)*c*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)+3/2*e^3/(4*a*c-b^2)*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b-3*e^2/(4*a*c-b^2)*c^2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d+3/4*e^2/(4*a*c-b^2)*c*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)","B"
1626,1,3056,403,0.115000," ","int((2*c*x+b)*(e*x+d)^(1/2)/(c*x^2+b*x+a)^3,x)","\text{output too large to display}"," ",0,"1/8*e^4/(4*a^2*c*e^2-a*b^2*e^2-4*a*b*c*d*e+4*a*c^2*d^2+b^3*d*e-b^2*c*d^2)*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2-e^2/(4*a^2*c*e^2-a*b^2*e^2-4*a*b*c*d*e+4*a*c^2*d^2+b^3*d*e-b^2*c*d^2)*c^3/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d^2-3/2*e^4/(4*a^2*c*e^2-a*b^2*e^2-4*a*b*c*d*e+4*a*c^2*d^2+b^3*d*e-b^2*c*d^2)*c^2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a-1/4*e^5/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a^2*c*e^2-a*b^2*e^2-4*a*b*c*d*e+4*a*c^2*d^2+b^3*d*e-b^2*c*d^2)*(e*x+d)^(3/2)*b^3+e^3/(4*a^2*c*e^2-a*b^2*e^2-4*a*b*c*d*e+4*a*c^2*d^2+b^3*d*e-b^2*c*d^2)*c^2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b*d-3/2*e^4/(4*a^2*c*e^2-a*b^2*e^2-4*a*b*c*d*e+4*a*c^2*d^2+b^3*d*e-b^2*c*d^2)*c^2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a+e^3/(4*a^2*c*e^2-a*b^2*e^2-4*a*b*c*d*e+4*a*c^2*d^2+b^3*d*e-b^2*c*d^2)*c^2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b*d+1/8*e^4/(4*a^2*c*e^2-a*b^2*e^2-4*a*b*c*d*e+4*a*c^2*d^2+b^3*d*e-b^2*c*d^2)*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2-e^2/(4*a^2*c*e^2-a*b^2*e^2-4*a*b*c*d*e+4*a*c^2*d^2+b^3*d*e-b^2*c*d^2)*c^3/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d^2+1/4*e^4/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(1/2)*b^2-3/2*e^2/(c*e^2*x^2+b*e^2*x+a*e^2)^2*c^3/(4*a^2*c*e^2-a*b^2*e^2-4*a*b*c*d*e+4*a*c^2*d^2+b^3*d*e-b^2*c*d^2)*(e*x+d)^(5/2)*d^2+3/2*e^2/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a^2*c*e^2-a*b^2*e^2-4*a*b*c*d*e+4*a*c^2*d^2+b^3*d*e-b^2*c*d^2)*(e*x+d)^(3/2)*c^3*d^3-1/2*e^2/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(1/2)*c^2*d^2-1/4*e^3/(c*e^2*x^2+b*e^2*x+a*e^2)^2*c^2/(4*a^2*c*e^2-a*b^2*e^2-4*a*b*c*d*e+4*a*c^2*d^2+b^3*d*e-b^2*c*d^2)*(e*x+d)^(7/2)*b+1/2*e^4/(c*e^2*x^2+b*e^2*x+a*e^2)^2*c^2/(4*a^2*c*e^2-a*b^2*e^2-4*a*b*c*d*e+4*a*c^2*d^2+b^3*d*e-b^2*c*d^2)*(e*x+d)^(5/2)*a-1/2*e^4/(c*e^2*x^2+b*e^2*x+a*e^2)^2*c/(4*a^2*c*e^2-a*b^2*e^2-4*a*b*c*d*e+4*a*c^2*d^2+b^3*d*e-b^2*c*d^2)*(e*x+d)^(5/2)*b^2-3/2*e^4/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(1/2)*a*c+1/2*e^2/(c*e^2*x^2+b*e^2*x+a*e^2)^2*c^3/(4*a^2*c*e^2-a*b^2*e^2-4*a*b*c*d*e+4*a*c^2*d^2+b^3*d*e-b^2*c*d^2)*(e*x+d)^(7/2)*d+1/2*e^3/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a*c-b^2)*(e*x+d)^(1/2)*b*c*d+3/2*e^3/(c*e^2*x^2+b*e^2*x+a*e^2)^2*c^2/(4*a^2*c*e^2-a*b^2*e^2-4*a*b*c*d*e+4*a*c^2*d^2+b^3*d*e-b^2*c*d^2)*(e*x+d)^(5/2)*b*d+1/4*e^2/(4*a^2*c*e^2-a*b^2*e^2-4*a*b*c*d*e+4*a*c^2*d^2+b^3*d*e-b^2*c*d^2)*c^2*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d-1/2*e^4/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a^2*c*e^2-a*b^2*e^2-4*a*b*c*d*e+4*a*c^2*d^2+b^3*d*e-b^2*c*d^2)*(e*x+d)^(3/2)*c^2*a*d-1/8*e^3/(4*a^2*c*e^2-a*b^2*e^2-4*a*b*c*d*e+4*a*c^2*d^2+b^3*d*e-b^2*c*d^2)*c*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b+1/8*e^3/(4*a^2*c*e^2-a*b^2*e^2-4*a*b*c*d*e+4*a*c^2*d^2+b^3*d*e-b^2*c*d^2)*c*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b+5/4*e^4/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a^2*c*e^2-a*b^2*e^2-4*a*b*c*d*e+4*a*c^2*d^2+b^3*d*e-b^2*c*d^2)*(e*x+d)^(3/2)*b^2*c*d-9/4*e^3/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a^2*c*e^2-a*b^2*e^2-4*a*b*c*d*e+4*a*c^2*d^2+b^3*d*e-b^2*c*d^2)*(e*x+d)^(3/2)*b*c^2*d^2-1/4*e^2/(4*a^2*c*e^2-a*b^2*e^2-4*a*b*c*d*e+4*a*c^2*d^2+b^3*d*e-b^2*c*d^2)*c^2*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d+1/4*e^5/(c*e^2*x^2+b*e^2*x+a*e^2)^2/(4*a^2*c*e^2-a*b^2*e^2-4*a*b*c*d*e+4*a*c^2*d^2+b^3*d*e-b^2*c*d^2)*(e*x+d)^(3/2)*a*b*c","B"
1627,1,2743,605,0.620000," ","int((2*c*x+b)/(c*x^2+b*x+a)^3/(e*x+d)^(1/2),x)","\frac{4 \sqrt{2}\, b \,c^{3} e^{3} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \left(4 a c -b^{2}\right) \left(8 a c \,e^{2}-4 b^{2} e^{2}+8 b c d e -8 c^{2} d^{2}+4 \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, b e -8 \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, c d \right) \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{4 \sqrt{2}\, b \,c^{3} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \left(4 a c -b^{2}\right) \left(-8 a c \,e^{2}+4 b^{2} e^{2}-8 b c d e +8 c^{2} d^{2}+4 \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, b e -8 \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, c d \right) \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{8 \sqrt{2}\, c^{4} d \,e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \left(4 a c -b^{2}\right) \left(8 a c \,e^{2}-4 b^{2} e^{2}+8 b c d e -8 c^{2} d^{2}+4 \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, b e -8 \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, c d \right) \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{8 \sqrt{2}\, c^{4} d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \left(4 a c -b^{2}\right) \left(-8 a c \,e^{2}+4 b^{2} e^{2}-8 b c d e +8 c^{2} d^{2}+4 \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, b e -8 \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, c d \right) \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}+\frac{\left(e x +d \right)^{\frac{3}{2}} b \,c^{2} e^{3}}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \left(4 a c -b^{2}\right) \left(e x +\frac{b e}{2 c}-\frac{\sqrt{\left(-4 a c +b^{2}\right) e^{2}}}{2 c}\right)^{2} \left(-2 a c \,e^{2}+b^{2} e^{2}-2 b c d e +2 c^{2} d^{2}-\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, b e +2 \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, c d \right)}-\frac{\left(e x +d \right)^{\frac{3}{2}} b \,c^{2} e^{3}}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \left(4 a c -b^{2}\right) \left(e x +\frac{b e}{2 c}+\frac{\sqrt{\left(-4 a c +b^{2}\right) e^{2}}}{2 c}\right)^{2} \left(-2 a c \,e^{2}+b^{2} e^{2}-2 b c d e +2 c^{2} d^{2}+\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, b e -2 \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, c d \right)}-\frac{2 \left(e x +d \right)^{\frac{3}{2}} c^{3} d \,e^{2}}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \left(4 a c -b^{2}\right) \left(e x +\frac{b e}{2 c}-\frac{\sqrt{\left(-4 a c +b^{2}\right) e^{2}}}{2 c}\right)^{2} \left(-2 a c \,e^{2}+b^{2} e^{2}-2 b c d e +2 c^{2} d^{2}-\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, b e +2 \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, c d \right)}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} c^{3} d \,e^{2}}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \left(4 a c -b^{2}\right) \left(e x +\frac{b e}{2 c}+\frac{\sqrt{\left(-4 a c +b^{2}\right) e^{2}}}{2 c}\right)^{2} \left(-2 a c \,e^{2}+b^{2} e^{2}-2 b c d e +2 c^{2} d^{2}+\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, b e -2 \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, c d \right)}-\frac{10 \sqrt{2}\, \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, c^{3} e^{2} \arctanh \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \left(4 a c -b^{2}\right) \left(8 a c \,e^{2}-4 b^{2} e^{2}+8 b c d e -8 c^{2} d^{2}+4 \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, b e -8 \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, c d \right) \sqrt{\left(-b e +2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{10 \sqrt{2}\, \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, c^{3} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, \sqrt{2}\, c}{\sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}\right)}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \left(4 a c -b^{2}\right) \left(-8 a c \,e^{2}+4 b^{2} e^{2}-8 b c d e +8 c^{2} d^{2}+4 \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, b e -8 \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, c d \right) \sqrt{\left(b e -2 c d +\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\right) c}}-\frac{\sqrt{e x +d}\, b c \,e^{3}}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \left(4 a c -b^{2}\right) \left(e x +\frac{b e}{2 c}-\frac{\sqrt{\left(-4 a c +b^{2}\right) e^{2}}}{2 c}\right)^{2} \left(-b e +2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\right)}+\frac{\sqrt{e x +d}\, b c \,e^{3}}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \left(4 a c -b^{2}\right) \left(e x +\frac{b e}{2 c}+\frac{\sqrt{\left(-4 a c +b^{2}\right) e^{2}}}{2 c}\right)^{2} \left(-b e +2 c d -\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\right)}+\frac{2 \sqrt{e x +d}\, c^{2} d \,e^{2}}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \left(4 a c -b^{2}\right) \left(e x +\frac{b e}{2 c}-\frac{\sqrt{\left(-4 a c +b^{2}\right) e^{2}}}{2 c}\right)^{2} \left(-b e +2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\right)}-\frac{2 \sqrt{e x +d}\, c^{2} d \,e^{2}}{\sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \left(4 a c -b^{2}\right) \left(e x +\frac{b e}{2 c}+\frac{\sqrt{\left(-4 a c +b^{2}\right) e^{2}}}{2 c}\right)^{2} \left(-b e +2 c d -\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\right)}-\frac{5 \left(e x +d \right)^{\frac{3}{2}} \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, c^{2} e^{2}}{2 \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \left(4 a c -b^{2}\right) \left(e x +\frac{b e}{2 c}-\frac{\sqrt{\left(-4 a c +b^{2}\right) e^{2}}}{2 c}\right)^{2} \left(-2 a c \,e^{2}+b^{2} e^{2}-2 b c d e +2 c^{2} d^{2}-\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, b e +2 \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, c d \right)}-\frac{5 \left(e x +d \right)^{\frac{3}{2}} \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, c^{2} e^{2}}{2 \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \left(4 a c -b^{2}\right) \left(e x +\frac{b e}{2 c}+\frac{\sqrt{\left(-4 a c +b^{2}\right) e^{2}}}{2 c}\right)^{2} \left(-2 a c \,e^{2}+b^{2} e^{2}-2 b c d e +2 c^{2} d^{2}+\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, b e -2 \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, c d \right)}+\frac{7 \sqrt{e x +d}\, \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, c \,e^{2}}{2 \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \left(4 a c -b^{2}\right) \left(e x +\frac{b e}{2 c}-\frac{\sqrt{\left(-4 a c +b^{2}\right) e^{2}}}{2 c}\right)^{2} \left(-b e +2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\right)}+\frac{7 \sqrt{e x +d}\, \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, c \,e^{2}}{2 \sqrt{-\left(4 a c -b^{2}\right) e^{2}}\, \left(4 a c -b^{2}\right) \left(e x +\frac{b e}{2 c}+\frac{\sqrt{\left(-4 a c +b^{2}\right) e^{2}}}{2 c}\right)^{2} \left(-b e +2 c d -\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\right)}"," ",0,"e^3*c^2/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)/(e*x+1/2*b/c*e-1/2/c*((-4*a*c+b^2)*e^2)^(1/2))^2/(-2*a*c*e^2+b^2*e^2-2*b*c*d*e+2*c^2*d^2-b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)+2*d*(-4*a*c*e^2+b^2*e^2)^(1/2)*c)*(e*x+d)^(3/2)*b-2*e^2*c^3/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)/(e*x+1/2*b/c*e-1/2/c*((-4*a*c+b^2)*e^2)^(1/2))^2/(-2*a*c*e^2+b^2*e^2-2*b*c*d*e+2*c^2*d^2-b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)+2*d*(-4*a*c*e^2+b^2*e^2)^(1/2)*c)*(e*x+d)^(3/2)*d-5/2*e^2*c^2/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)/(e*x+1/2*b/c*e-1/2/c*((-4*a*c+b^2)*e^2)^(1/2))^2/(-2*a*c*e^2+b^2*e^2-2*b*c*d*e+2*c^2*d^2-b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)+2*d*(-4*a*c*e^2+b^2*e^2)^(1/2)*c)*(e*x+d)^(3/2)*(-4*a*c*e^2+b^2*e^2)^(1/2)-e^3*c/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)/(e*x+1/2*b/c*e-1/2/c*((-4*a*c+b^2)*e^2)^(1/2))^2/(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))*(e*x+d)^(1/2)*b+2*e^2*c^2/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)/(e*x+1/2*b/c*e-1/2/c*((-4*a*c+b^2)*e^2)^(1/2))^2/(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))*(e*x+d)^(1/2)*d+7/2*e^2*c/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)/(e*x+1/2*b/c*e-1/2/c*((-4*a*c+b^2)*e^2)^(1/2))^2/(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))*(e*x+d)^(1/2)*(-4*a*c*e^2+b^2*e^2)^(1/2)+4*e^3*c^3/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)/(8*a*c*e^2-4*b^2*e^2+8*b*c*d*e-8*c^2*d^2+4*b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)-8*d*(-4*a*c*e^2+b^2*e^2)^(1/2)*c)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b-8*e^2*c^4/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)/(8*a*c*e^2-4*b^2*e^2+8*b*c*d*e-8*c^2*d^2+4*b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)-8*d*(-4*a*c*e^2+b^2*e^2)^(1/2)*c)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d-10*e^2*c^3/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)/(8*a*c*e^2-4*b^2*e^2+8*b*c*d*e-8*c^2*d^2+4*b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)-8*d*(-4*a*c*e^2+b^2*e^2)^(1/2)*c)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*(-4*a*c*e^2+b^2*e^2)^(1/2)-e^3*c^2/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)/(e*x+1/2*b/c*e+1/2/c*((-4*a*c+b^2)*e^2)^(1/2))^2/(-2*a*c*e^2+b^2*e^2-2*b*c*d*e+2*c^2*d^2+b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)-2*d*(-4*a*c*e^2+b^2*e^2)^(1/2)*c)*(e*x+d)^(3/2)*b+2*e^2*c^3/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)/(e*x+1/2*b/c*e+1/2/c*((-4*a*c+b^2)*e^2)^(1/2))^2/(-2*a*c*e^2+b^2*e^2-2*b*c*d*e+2*c^2*d^2+b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)-2*d*(-4*a*c*e^2+b^2*e^2)^(1/2)*c)*(e*x+d)^(3/2)*d-5/2*e^2*c^2/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)/(e*x+1/2*b/c*e+1/2/c*((-4*a*c+b^2)*e^2)^(1/2))^2/(-2*a*c*e^2+b^2*e^2-2*b*c*d*e+2*c^2*d^2+b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)-2*d*(-4*a*c*e^2+b^2*e^2)^(1/2)*c)*(e*x+d)^(3/2)*(-4*a*c*e^2+b^2*e^2)^(1/2)+e^3*c/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)/(e*x+1/2*b/c*e+1/2/c*((-4*a*c+b^2)*e^2)^(1/2))^2/(-b*e+2*c*d-(-4*a*c*e^2+b^2*e^2)^(1/2))*(e*x+d)^(1/2)*b-2*e^2*c^2/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)/(e*x+1/2*b/c*e+1/2/c*((-4*a*c+b^2)*e^2)^(1/2))^2/(-b*e+2*c*d-(-4*a*c*e^2+b^2*e^2)^(1/2))*(e*x+d)^(1/2)*d+7/2*e^2*c/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)/(e*x+1/2*b/c*e+1/2/c*((-4*a*c+b^2)*e^2)^(1/2))^2/(-b*e+2*c*d-(-4*a*c*e^2+b^2*e^2)^(1/2))*(e*x+d)^(1/2)*(-4*a*c*e^2+b^2*e^2)^(1/2)-4*e^3*c^3/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)/(-8*a*c*e^2+4*b^2*e^2-8*b*c*d*e+8*c^2*d^2+4*b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)-8*d*(-4*a*c*e^2+b^2*e^2)^(1/2)*c)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b+8*e^2*c^4/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)/(-8*a*c*e^2+4*b^2*e^2-8*b*c*d*e+8*c^2*d^2+4*b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)-8*d*(-4*a*c*e^2+b^2*e^2)^(1/2)*c)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d-10*e^2*c^3/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)/(-8*a*c*e^2+4*b^2*e^2-8*b*c*d*e+8*c^2*d^2+4*b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)-8*d*(-4*a*c*e^2+b^2*e^2)^(1/2)*c)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*(-4*a*c*e^2+b^2*e^2)^(1/2)","B"
1628,1,6516,512,0.106000," ","int((2*c*x+b)*(e*x+d)^(1/2)*(c*x^2+b*x+a)^(1/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
1629,1,4356,429,0.092000," ","int((2*c*x+b)*(c*x^2+b*x+a)^(1/2)/(e*x+d)^(1/2),x)","\text{output too large to display}"," ",0,"2/15*(c*x^2+b*x+a)^(1/2)*(e*x+d)^(1/2)*(7*a*b*c*d*e^3+7*x*a*b*c*e^4-4*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*a*b*e^4+6*x^4*c^3*e^4-8*x*b*c^2*d^2*e^2+12*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a^2*c*e^4-8*a*c^2*d^2*e^2-2*x^3*c^3*d*e^3+6*x^2*a*c^2*e^4+7*x^2*b^2*c*e^4-8*x^2*c^3*d^2*e^2+13*x^3*b*c^2*e^4+12*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*c^2*d^2*e^2-3*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b^2*c*d^2*e^2+32*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b*c^2*d^3*e-28*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*c^2*d^2*e^2-17*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b^2*c*d^2*e^2+4*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*b^2*d*e^3+8*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*c^2*d^3*e-3*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*b^2*e^4+3*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b^3*d*e^3+2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b^3*d*e^3-2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*b^2*e^4-12*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a^2*c*e^4+5*x^2*b*c^2*d*e^3-2*x*a*c^2*d*e^3+7*x*b^2*c*d*e^3-16*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*c^3*d^4+28*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*b*c*d*e^3+8*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*a*c*d*e^3-12*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*b*c*d*e^3-12*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*b*c*d^2*e^2)/c/(c*e*x^3+b*e*x^2+c*d*x^2+a*e*x+b*d*x+a*d)/e^4","B"
1630,1,2977,411,0.113000," ","int((2*c*x+b)*(c*x^2+b*x+a)^(1/2)/(e*x+d)^(3/2),x)","\text{output too large to display}"," ",0,"1/3*(c*x^2+b*x+a)^(1/2)*(e*x+d)^(1/2)*(12*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*2^(1/2)*a*b*c*e^3*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-24*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*2^(1/2)*a*c^2*d*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-4*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*2^(1/2)*a*c*e^3*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*(-4*a*c+b^2)^(1/2)-3*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*2^(1/2)*b^3*e^3*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+6*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*2^(1/2)*b^2*c*d*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-3*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*2^(1/2)*b^2*e^3*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*(-4*a*c+b^2)^(1/2)+16*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*2^(1/2)*b*c*d*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*(-4*a*c+b^2)^(1/2)-16*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*2^(1/2)*c^2*d^2*e*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*(-4*a*c+b^2)^(1/2)-16*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*2^(1/2)*a*b*c*e^3*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+32*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*2^(1/2)*a*c^2*d*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+16*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*2^(1/2)*b^2*c*d*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-48*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*2^(1/2)*b*c^2*d^2*e*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+32*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*2^(1/2)*c^3*d^3*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+4*x^3*c^3*e^3-2*x^2*b*c^2*e^3+16*x^2*c^3*d*e^2+4*a*c^2*e^3*x-6*x*b^2*c*e^3+16*x*b*c^2*d*e^2-6*a*b*c*e^3+16*c^2*a*d*e^2)/c/(c*e*x^3+b*e*x^2+c*d*x^2+a*e*x+b*d*x+a*d)/e^4","B"
1631,1,8612,490,0.230000," ","int((2*c*x+b)*(c*x^2+b*x+a)^(1/2)/(e*x+d)^(5/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
1632,1,19265,627,0.191000," ","int((2*c*x+b)*(c*x^2+b*x+a)^(1/2)/(e*x+d)^(7/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
1633,1,9176,624,0.131000," ","int((2*c*x+b)*(c*x^2+b*x+a)^(3/2)/(e*x+d)^(1/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
1634,1,6527,528,0.141000," ","int((2*c*x+b)*(c*x^2+b*x+a)^(3/2)/(e*x+d)^(3/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
1635,1,9599,509,0.245000," ","int((2*c*x+b)*(c*x^2+b*x+a)^(3/2)/(e*x+d)^(5/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
1636,1,19270,637,0.194000," ","int((2*c*x+b)*(c*x^2+b*x+a)^(3/2)/(e*x+d)^(7/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
1637,1,6517,530,0.132000," ","int((2*c*x+b)*(e*x+d)^(5/2)/(c*x^2+b*x+a)^(1/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
1638,1,4356,443,0.118000," ","int((2*c*x+b)*(e*x+d)^(3/2)/(c*x^2+b*x+a)^(1/2),x)","\text{output too large to display}"," ",0,"-1/5*(e*x+d)^(1/2)*(c*x^2+b*x+a)^(1/2)/c^2*(2*a*b*c*d*e^3+2*x*a*b*c*e^4+2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*a*b*e^4-4*x^4*c^3*e^4-8*x*b*c^2*d^2*e^2+12*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a^2*c*e^4-8*a*c^2*d^2*e^2-12*x^3*c^3*d*e^3-4*x^2*a*c^2*e^4+2*x^2*b^2*c*e^4-8*x^2*c^3*d^2*e^2-2*x^3*b*c^2*e^4+12*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*c^2*d^2*e^2-3*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b^2*c*d^2*e^2-8*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b*c^2*d^3*e-8*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*c^2*d^2*e^2+8*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b^2*c*d^2*e^2-2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*b^2*d*e^3-2*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*c^2*d^3*e-3*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*b^2*e^4+3*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b^3*d*e^3-4*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b^3*d*e^3+4*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*b^2*e^4-12*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a^2*c*e^4-10*x^2*b*c^2*d*e^3-12*x*a*c^2*d*e^3+2*x*b^2*c*d*e^3+4*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*c^3*d^4+8*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*b*c*d*e^3-2*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*a*c*d*e^3-12*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*b*c*d*e^3+3*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*b*c*d^2*e^2)/e^2/(c*e*x^3+b*e*x^2+c*d*x^2+a*e*x+b*d*x+a*d)","B"
1639,1,1854,383,0.108000," ","int((2*c*x+b)*(e*x+d)^(1/2)/(c*x^2+b*x+a)^(1/2),x)","\frac{2 \sqrt{e x +d}\, \sqrt{c \,x^{2}+b x +a}\, \left(2 c^{2} e^{3} x^{3}+2 b c \,e^{3} x^{2}+2 c^{2} d \,e^{2} x^{2}+\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, a b \,e^{3} \EllipticE \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)-2 \sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, a c d \,e^{2} \EllipticE \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)+2 a c \,e^{3} x -\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, b^{2} d \,e^{2} \EllipticE \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)+3 \sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, b c \,d^{2} e \EllipticE \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)+2 b c d \,e^{2} x -2 \sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, c^{2} d^{3} \EllipticE \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)+2 a c d \,e^{2}+\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{-4 a c +b^{2}}\, a \,e^{3} \EllipticF \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)-\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{-4 a c +b^{2}}\, b d \,e^{2} \EllipticF \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)+\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{-4 a c +b^{2}}\, c \,d^{2} e \EllipticF \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)\right)}{3 \left(c e \,x^{3}+b e \,x^{2}+c d \,x^{2}+a e x +b d x +a d \right) c \,e^{2}}"," ",0,"2/3*(e*x+d)^(1/2)*(c*x^2+b*x+a)^(1/2)/c*(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*a*e^3-2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*b*d*e^2+2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*c*d^2*e+2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*b*e^3-2*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*c*d*e^2-2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b^2*d*e^2+3*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b*c*d^2*e-2*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*c^2*d^3+2*x^3*c^2*e^3+2*b*c*e^3*x^2+2*x^2*c^2*d*e^2+2*a*c*e^3*x+2*x*b*c*d*e^2+2*a*c*d*e^2)/e^2/(c*e*x^3+b*e*x^2+c*d*x^2+a*e*x+b*d*x+a*d)","B"
1640,1,837,343,0.110000," ","int((2*c*x+b)/(e*x+d)^(1/2)/(c*x^2+b*x+a)^(1/2),x)","\frac{\left(-4 a c \,e^{2} \EllipticE \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)+4 a c \,e^{2} \EllipticF \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)-b^{2} e^{2} \EllipticF \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)+4 b c d e \EllipticE \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)-4 c^{2} d^{2} \EllipticE \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)-\sqrt{-4 a c +b^{2}}\, b \,e^{2} \EllipticF \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)+2 \sqrt{-4 a c +b^{2}}\, c d e \EllipticF \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)\right) \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{e x +d}\, \sqrt{c \,x^{2}+b x +a}}{\left(c e \,x^{3}+b e \,x^{2}+c d \,x^{2}+a e x +b d x +a d \right) c \,e^{2}}"," ",0,"(4*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*c*e^2-EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b^2*e^2-EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*b*e^2+2*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*c*d*e-4*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*c*e^2+4*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b*c*d*e-4*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*c^2*d^2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*(e*x+d)^(1/2)*(c*x^2+b*x+a)^(1/2)/e^2/c/(c*e*x^3+b*e*x^2+c*d*x^2+a*e*x+b*d*x+a*d)","B"
1641,1,1863,406,0.166000," ","int((2*c*x+b)/(e*x+d)^(3/2)/(c*x^2+b*x+a)^(1/2),x)","-\frac{2 \left(b c \,e^{3} x^{2}-2 c^{2} d \,e^{2} x^{2}+\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, a b \,e^{3} \EllipticE \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)-2 \sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, a c d \,e^{2} \EllipticE \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)-\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, b^{2} d \,e^{2} \EllipticE \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)+b^{2} e^{3} x +3 \sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, b c \,d^{2} e \EllipticE \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)-2 b c d \,e^{2} x -2 \sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, c^{2} d^{3} \EllipticE \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)+a b \,e^{3}-2 a c d \,e^{2}+\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{-4 a c +b^{2}}\, a \,e^{3} \EllipticF \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)-\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{-4 a c +b^{2}}\, b d \,e^{2} \EllipticF \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)+\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{-4 a c +b^{2}}\, c \,d^{2} e \EllipticF \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)\right) \sqrt{c \,x^{2}+b x +a}\, \sqrt{e x +d}}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(c e \,x^{3}+b e \,x^{2}+c d \,x^{2}+a e x +b d x +a d \right) e^{2}}"," ",0,"-2*(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*a*e^3-2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*b*d*e^2+2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*c*d^2*e+2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*b*e^3-2*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*c*d*e^2-2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b^2*d*e^2+3*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b*c*d^2*e-2*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*c^2*d^3+b*c*e^3*x^2-2*c^2*d*e^2*x^2+x*b^2*e^3-2*b*c*d*e^2*x+a*b*e^3-2*a*c*d*e^2)*(c*x^2+b*x+a)^(1/2)*(e*x+d)^(1/2)/e^2/(a*e^2-b*d*e+c*d^2)/(c*e*x^3+b*e*x^2+c*d*x^2+a*e*x+b*d*x+a*d)","B"
1642,1,8632,517,0.240000," ","int((2*c*x+b)/(e*x+d)^(5/2)/(c*x^2+b*x+a)^(1/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
1643,1,4802,472,0.307000," ","int((2*c*x+b)*(e*x+d)^(7/2)/(c*x^2+b*x+a)^(3/2),x)","\text{output too large to display}"," ",0,"-2/15*(e*x+d)^(1/2)*(c*x^2+b*x+a)^(1/2)*(28*a*b*c*d*e^3+60*c^3*d^3*e*x+28*x*a*b*c*e^4+14*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*a*b*e^4-6*x^4*c^3*e^4-77*x*b*c^2*d^2*e^2+15*c^3*d^4+63*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a^2*c*e^4-77*a*c^2*d^2*e^2-38*x^3*c^3*d*e^3-21*x^2*a*c^2*e^4+28*x^2*b^2*c*e^4+13*x^2*c^3*d^2*e^2+7*x^3*b*c^2*e^4-42*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*c^2*d^2*e^2-147*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b^2*c*d^2*e^2-322*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b*c^2*d^3*e+98*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*c^2*d^2*e^2+217*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b^2*c*d^2*e^2-14*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*b^2*d*e^3-28*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*c^2*d^3*e-42*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*b^2*e^4+42*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b^3*d*e^3-56*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b^3*d*e^3+56*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*b^2*e^4-63*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a^2*c*e^4+210*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b*c^2*d^3*e*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-70*x^2*b*c^2*d*e^3-98*x*a*c^2*d*e^3+28*x*b^2*c*d*e^3+161*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*c^3*d^4-98*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*b*c*d*e^3-28*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*a*c*d*e^3+42*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*b*c*d*e^3-105*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*c^3*d^4*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+42*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*b*c*d^2*e^2)/c^3/(c*e*x^3+b*e*x^2+c*d*x^2+a*e*x+b*d*x+a*d)","B"
1644,1,2942,406,0.148000," ","int((2*c*x+b)*(e*x+d)^(5/2)/(c*x^2+b*x+a)^(3/2),x)","\text{output too large to display}"," ",0,"-1/3*(e*x+d)^(1/2)*(c*x^2+b*x+a)^(1/2)*(15*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*b*e^3*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-30*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*c*d*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-5*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*a*e^3-15*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b^2*d*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+45*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b*c*d^2*e*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+5*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*b*d*e^2-30*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*c^2*d^3*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-5*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*c*d^2*e-20*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*b*e^3+40*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*c*d*e^2+20*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b^2*d*e^2-60*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b*c*d^2*e+40*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*c^2*d^3-4*c^2*e^3*x^3-10*b*c*e^3*x^2+8*c^2*d*e^2*x^2-10*a*c*e^3*x-10*b*c*d*e^2*x+18*x*c^2*d^2*e-10*a*c*d*e^2+6*c^2*d^3)/c^2/(c*e*x^3+b*e*x^2+c*d*x^2+a*e*x+b*d*x+a*d)","B"
1645,1,1349,188,0.125000," ","int((2*c*x+b)*(e*x+d)^(3/2)/(c*x^2+b*x+a)^(3/2),x)","\frac{2 \sqrt{e x +d}\, \sqrt{c \,x^{2}+b x +a}\, \left(-c \,e^{2} x^{2}-3 \sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, a \,e^{2} \EllipticE \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)+3 \sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, a \,e^{2} \EllipticF \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)+3 \sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, b d e \EllipticE \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)-3 \sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, b d e \EllipticF \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)-3 \sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, c \,d^{2} \EllipticE \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)+3 \sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, c \,d^{2} \EllipticF \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)-2 c d e x -c \,d^{2}\right)}{\left(c e \,x^{3}+b e \,x^{2}+c d \,x^{2}+a e x +b d x +a d \right) c}"," ",0,"2*(e*x+d)^(1/2)*(c*x^2+b*x+a)^(1/2)*(3*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-3*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b*d*e*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+3*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*c*d^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-3*2^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+3*2^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b*d*e*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-3*2^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*c*d^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-c*e^2*x^2-2*c*d*e*x-c*d^2)/c/(c*e*x^3+b*e*x^2+c*d*x^2+a*e*x+b*d*x+a*d)","B"
1646,1,705,188,0.124000," ","int((2*c*x+b)*(e*x+d)^(1/2)/(c*x^2+b*x+a)^(3/2),x)","\frac{\left(-\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, b e \EllipticF \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)+2 \sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, c d \EllipticF \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)-2 c e x -2 c d -\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, e \EllipticF \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)\right) \sqrt{e x +d}\, \sqrt{c \,x^{2}+b x +a}}{\left(c e \,x^{3}+b e \,x^{2}+c d \,x^{2}+a e x +b d x +a d \right) c}"," ",0,"(-2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b*e*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+2*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*c*d*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*e*(-4*a*c+b^2)^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-2*c*e*x-2*c*d)*(e*x+d)^(1/2)*(c*x^2+b*x+a)^(1/2)/(c*e*x^3+b*e*x^2+c*d*x^2+a*e*x+b*d*x+a*d)/c","B"
1647,1,1366,262,0.139000," ","int((2*c*x+b)/(c*x^2+b*x+a)^(3/2)/(e*x+d)^(1/2),x)","-\frac{2 \left(-c \,e^{2} x^{2}-\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, a \,e^{2} \EllipticE \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)+\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, a \,e^{2} \EllipticF \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)+\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, b d e \EllipticE \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)-\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, b d e \EllipticF \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)-b \,e^{2} x -\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, c \,d^{2} \EllipticE \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)+\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, c \,d^{2} \EllipticF \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)-b d e +c \,d^{2}\right) \sqrt{e x +d}\, \sqrt{c \,x^{2}+b x +a}}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(c e \,x^{3}+b e \,x^{2}+c d \,x^{2}+a e x +b d x +a d \right)}"," ",0,"-2*(2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b*d*e*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*c*d^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-2^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+2^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b*d*e*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-2^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*c*d^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)*(e*x+d)^(1/2)*(c*x^2+b*x+a)^(1/2)/(a*e^2-b*d*e+c*d^2)/(c*e*x^3+b*e*x^2+c*d*x^2+a*e*x+b*d*x+a*d)","B"
1648,1,2977,503,0.173000," ","int((2*c*x+b)/(e*x+d)^(3/2)/(c*x^2+b*x+a)^(3/2),x)","\text{output too large to display}"," ",0,"(3*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*b*e^3*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-6*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*c*d*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*a*e^3-3*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b^2*d*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+9*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b*c*d^2*e*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*b*d*e^2-6*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*c^2*d^3*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*c*d^2*e-4*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*b*e^3+8*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*c*d*e^2+4*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b^2*d*e^2-12*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b*c*d^2*e+8*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*c^2*d^3-4*b*c*e^3*x^2+8*c^2*d*e^2*x^2+2*a*c*e^3*x-4*b^2*e^3*x+6*b*c*d*e^2*x+2*x*c^2*d^2*e-2*a*b*e^3+6*a*c*d*e^2-2*b^2*d*e^2+4*b*c*d^2*e-2*c^2*d^3)*(c*x^2+b*x+a)^(1/2)*(e*x+d)^(1/2)/(a*e^2-b*d*e+c*d^2)^2/(c*e*x^3+b*e*x^2+c*d*x^2+a*e*x+b*d*x+a*d)","B"
1649,1,12975,503,0.303000," ","int((2*c*x+b)*(e*x+d)^(7/2)/(c*x^2+b*x+a)^(5/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
1650,1,5517,430,0.227000," ","int((2*c*x+b)*(e*x+d)^(5/2)/(c*x^2+b*x+a)^(5/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
1651,1,4740,398,0.206000," ","int((2*c*x+b)*(e*x+d)^(3/2)/(c*x^2+b*x+a)^(5/2),x)","\text{output too large to display}"," ",0,"-1/3*(-6*x*a*b*c*e^2+4*x*a*c^2*d*e-10*x*b^2*c*d*e+12*2^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*x*b^2*c*d*e*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+6*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*c*d*e*(-4*a*c+b^2)^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+12*2^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*b*c*d*e*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-3*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*x^2*b*c*e^2*(-4*a*c+b^2)^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-18*x^2*b*c^2*d*e-12*x^4*c^3*e^2-4*x^2*a*c^2*e^2-8*x^2*b^2*c*e^2-18*x^3*b*c^2*e^2-12*2^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*x^2*c^3*d^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+6*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*x^2*c^2*d*e*(-4*a*c+b^2)^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+12*2^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*x^2*b*c^2*d*e*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+12*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*x*a*b*c*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-12*2^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*x*a*b*c*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+6*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*x*b*c*d*e*(-4*a*c+b^2)^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+8*a*c^2*d^2-2*b^2*c*d^2-3*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*x*b^3*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+12*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a^2*c*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-3*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*b^2*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-12*2^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a^2*c*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-12*2^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*c^2*d^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-12*x^3*c^3*d*e-3*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*x*b^2*e^2*(-4*a*c+b^2)^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-12*2^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*x*b*c^2*d^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-3*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*b*e^2*(-4*a*c+b^2)^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+12*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*x^2*a*c^2*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-3*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*x^2*b^2*c*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-12*2^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*x^2*a*c^2*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-6*a*b*c*d*e)/(e*x+d)^(1/2)/(4*a*c-b^2)/c/(c*x^2+b*x+a)^(3/2)","B"
1652,1,5571,453,0.197000," ","int((2*c*x+b)*(e*x+d)^(1/2)/(c*x^2+b*x+a)^(5/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
1653,1,13089,601,0.378000," ","int((2*c*x+b)/(c*x^2+b*x+a)^(5/2)/(e*x+d)^(1/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
1654,1,5439,449,0.079000," ","int((2*c*x+b)*(e*x+d)^m*(c*x^2+b*x+a)^3,x)","\text{output too large to display}"," ",0,"result too large to display","B"
1655,1,1852,270,0.062000," ","int((2*c*x+b)*(e*x+d)^m*(c*x^2+b*x+a)^2,x)","\frac{\left(2 c^{3} e^{5} m^{5} x^{5}+5 b \,c^{2} e^{5} m^{5} x^{4}+30 c^{3} e^{5} m^{4} x^{5}+4 a \,c^{2} e^{5} m^{5} x^{3}+4 b^{2} c \,e^{5} m^{5} x^{3}+80 b \,c^{2} e^{5} m^{4} x^{4}-10 c^{3} d \,e^{4} m^{4} x^{4}+170 c^{3} e^{5} m^{3} x^{5}+6 a b c \,e^{5} m^{5} x^{2}+68 a \,c^{2} e^{5} m^{4} x^{3}+b^{3} e^{5} m^{5} x^{2}+68 b^{2} c \,e^{5} m^{4} x^{3}-20 b \,c^{2} d \,e^{4} m^{4} x^{3}+475 b \,c^{2} e^{5} m^{3} x^{4}-100 c^{3} d \,e^{4} m^{3} x^{4}+450 c^{3} e^{5} m^{2} x^{5}+2 a^{2} c \,e^{5} m^{5} x +2 a \,b^{2} e^{5} m^{5} x +108 a b c \,e^{5} m^{4} x^{2}-12 a \,c^{2} d \,e^{4} m^{4} x^{2}+428 a \,c^{2} e^{5} m^{3} x^{3}+18 b^{3} e^{5} m^{4} x^{2}-12 b^{2} c d \,e^{4} m^{4} x^{2}+428 b^{2} c \,e^{5} m^{3} x^{3}-240 b \,c^{2} d \,e^{4} m^{3} x^{3}+1300 b \,c^{2} e^{5} m^{2} x^{4}+40 c^{3} d^{2} e^{3} m^{3} x^{3}-350 c^{3} d \,e^{4} m^{2} x^{4}+548 c^{3} e^{5} m \,x^{5}+a^{2} b \,e^{5} m^{5}+38 a^{2} c \,e^{5} m^{4} x +38 a \,b^{2} e^{5} m^{4} x -12 a b c d \,e^{4} m^{4} x +726 a b c \,e^{5} m^{3} x^{2}-168 a \,c^{2} d \,e^{4} m^{3} x^{2}+1228 a \,c^{2} e^{5} m^{2} x^{3}-2 b^{3} d \,e^{4} m^{4} x +121 b^{3} e^{5} m^{3} x^{2}-168 b^{2} c d \,e^{4} m^{3} x^{2}+1228 b^{2} c \,e^{5} m^{2} x^{3}+60 b \,c^{2} d^{2} e^{3} m^{3} x^{2}-940 b \,c^{2} d \,e^{4} m^{2} x^{3}+1620 b \,c^{2} e^{5} m \,x^{4}+240 c^{3} d^{2} e^{3} m^{2} x^{3}-500 c^{3} d \,e^{4} m \,x^{4}+240 c^{3} e^{5} x^{5}+20 a^{2} b \,e^{5} m^{4}-2 a^{2} c d \,e^{4} m^{4}+274 a^{2} c \,e^{5} m^{3} x -2 a \,b^{2} d \,e^{4} m^{4}+274 a \,b^{2} e^{5} m^{3} x -192 a b c d \,e^{4} m^{3} x +2232 a b c \,e^{5} m^{2} x^{2}+24 a \,c^{2} d^{2} e^{3} m^{3} x -780 a \,c^{2} d \,e^{4} m^{2} x^{2}+1584 a \,c^{2} e^{5} m \,x^{3}-32 b^{3} d \,e^{4} m^{3} x +372 b^{3} e^{5} m^{2} x^{2}+24 b^{2} c \,d^{2} e^{3} m^{3} x -780 b^{2} c d \,e^{4} m^{2} x^{2}+1584 b^{2} c \,e^{5} m \,x^{3}+540 b \,c^{2} d^{2} e^{3} m^{2} x^{2}-1440 b \,c^{2} d \,e^{4} m \,x^{3}+720 b \,c^{2} e^{5} x^{4}-120 c^{3} d^{3} e^{2} m^{2} x^{2}+440 c^{3} d^{2} e^{3} m \,x^{3}-240 c^{3} d \,e^{4} x^{4}+155 a^{2} b \,e^{5} m^{3}-36 a^{2} c d \,e^{4} m^{3}+922 a^{2} c \,e^{5} m^{2} x -36 a \,b^{2} d \,e^{4} m^{3}+922 a \,b^{2} e^{5} m^{2} x +12 a b c \,d^{2} e^{3} m^{3}-1068 a b c d \,e^{4} m^{2} x +3048 a b c \,e^{5} m \,x^{2}+288 a \,c^{2} d^{2} e^{3} m^{2} x -1344 a \,c^{2} d \,e^{4} m \,x^{2}+720 a \,c^{2} e^{5} x^{3}+2 b^{3} d^{2} e^{3} m^{3}-178 b^{3} d \,e^{4} m^{2} x +508 b^{3} e^{5} m \,x^{2}+288 b^{2} c \,d^{2} e^{3} m^{2} x -1344 b^{2} c d \,e^{4} m \,x^{2}+720 b^{2} c \,e^{5} x^{3}-120 b \,c^{2} d^{3} e^{2} m^{2} x +1200 b \,c^{2} d^{2} e^{3} m \,x^{2}-720 b \,c^{2} d \,e^{4} x^{3}-360 c^{3} d^{3} e^{2} m \,x^{2}+240 c^{3} d^{2} e^{3} x^{3}+580 a^{2} b \,e^{5} m^{2}-238 a^{2} c d \,e^{4} m^{2}+1404 a^{2} c \,e^{5} m x -238 a \,b^{2} d \,e^{4} m^{2}+1404 a \,b^{2} e^{5} m x +180 a b c \,d^{2} e^{3} m^{2}-2328 a b c d \,e^{4} m x +1440 a b c \,e^{5} x^{2}-24 a \,c^{2} d^{3} e^{2} m^{2}+984 a \,c^{2} d^{2} e^{3} m x -720 a \,c^{2} d \,e^{4} x^{2}+30 b^{3} d^{2} e^{3} m^{2}-388 b^{3} d \,e^{4} m x +240 b^{3} e^{5} x^{2}-24 b^{2} c \,d^{3} e^{2} m^{2}+984 b^{2} c \,d^{2} e^{3} m x -720 b^{2} c d \,e^{4} x^{2}-840 b \,c^{2} d^{3} e^{2} m x +720 x^{2} b \,c^{2} d^{2} e^{3}+240 c^{3} d^{4} e m x -240 c^{3} d^{3} e^{2} x^{2}+1044 a^{2} b \,e^{5} m -684 a^{2} c d \,e^{4} m +720 a^{2} c \,e^{5} x -684 a \,b^{2} d \,e^{4} m +720 a \,b^{2} e^{5} x +888 a b c \,d^{2} e^{3} m -1440 x a b c d \,e^{4}-264 a \,c^{2} d^{3} e^{2} m +720 a \,c^{2} d^{2} e^{3} x +148 b^{3} d^{2} e^{3} m -240 x \,b^{3} d \,e^{4}-264 b^{2} c \,d^{3} e^{2} m +720 x \,b^{2} c \,d^{2} e^{3}+120 b \,c^{2} d^{4} e m -720 x b \,c^{2} d^{3} e^{2}+240 c^{3} d^{4} e x +720 a^{2} b \,e^{5}-720 a^{2} c d \,e^{4}-720 a \,b^{2} d \,e^{4}+1440 a b c \,d^{2} e^{3}-720 a \,c^{2} d^{3} e^{2}+240 b^{3} d^{2} e^{3}-720 b^{2} c \,d^{3} e^{2}+720 b \,c^{2} d^{4} e -240 c^{3} d^{5}\right) \left(e x +d \right)^{m +1}}{\left(m^{6}+21 m^{5}+175 m^{4}+735 m^{3}+1624 m^{2}+1764 m +720\right) e^{6}}"," ",0,"(e*x+d)^(m+1)*(2*c^3*e^5*m^5*x^5+5*b*c^2*e^5*m^5*x^4+30*c^3*e^5*m^4*x^5+4*a*c^2*e^5*m^5*x^3+4*b^2*c*e^5*m^5*x^3+80*b*c^2*e^5*m^4*x^4-10*c^3*d*e^4*m^4*x^4+170*c^3*e^5*m^3*x^5+6*a*b*c*e^5*m^5*x^2+68*a*c^2*e^5*m^4*x^3+b^3*e^5*m^5*x^2+68*b^2*c*e^5*m^4*x^3-20*b*c^2*d*e^4*m^4*x^3+475*b*c^2*e^5*m^3*x^4-100*c^3*d*e^4*m^3*x^4+450*c^3*e^5*m^2*x^5+2*a^2*c*e^5*m^5*x+2*a*b^2*e^5*m^5*x+108*a*b*c*e^5*m^4*x^2-12*a*c^2*d*e^4*m^4*x^2+428*a*c^2*e^5*m^3*x^3+18*b^3*e^5*m^4*x^2-12*b^2*c*d*e^4*m^4*x^2+428*b^2*c*e^5*m^3*x^3-240*b*c^2*d*e^4*m^3*x^3+1300*b*c^2*e^5*m^2*x^4+40*c^3*d^2*e^3*m^3*x^3-350*c^3*d*e^4*m^2*x^4+548*c^3*e^5*m*x^5+a^2*b*e^5*m^5+38*a^2*c*e^5*m^4*x+38*a*b^2*e^5*m^4*x-12*a*b*c*d*e^4*m^4*x+726*a*b*c*e^5*m^3*x^2-168*a*c^2*d*e^4*m^3*x^2+1228*a*c^2*e^5*m^2*x^3-2*b^3*d*e^4*m^4*x+121*b^3*e^5*m^3*x^2-168*b^2*c*d*e^4*m^3*x^2+1228*b^2*c*e^5*m^2*x^3+60*b*c^2*d^2*e^3*m^3*x^2-940*b*c^2*d*e^4*m^2*x^3+1620*b*c^2*e^5*m*x^4+240*c^3*d^2*e^3*m^2*x^3-500*c^3*d*e^4*m*x^4+240*c^3*e^5*x^5+20*a^2*b*e^5*m^4-2*a^2*c*d*e^4*m^4+274*a^2*c*e^5*m^3*x-2*a*b^2*d*e^4*m^4+274*a*b^2*e^5*m^3*x-192*a*b*c*d*e^4*m^3*x+2232*a*b*c*e^5*m^2*x^2+24*a*c^2*d^2*e^3*m^3*x-780*a*c^2*d*e^4*m^2*x^2+1584*a*c^2*e^5*m*x^3-32*b^3*d*e^4*m^3*x+372*b^3*e^5*m^2*x^2+24*b^2*c*d^2*e^3*m^3*x-780*b^2*c*d*e^4*m^2*x^2+1584*b^2*c*e^5*m*x^3+540*b*c^2*d^2*e^3*m^2*x^2-1440*b*c^2*d*e^4*m*x^3+720*b*c^2*e^5*x^4-120*c^3*d^3*e^2*m^2*x^2+440*c^3*d^2*e^3*m*x^3-240*c^3*d*e^4*x^4+155*a^2*b*e^5*m^3-36*a^2*c*d*e^4*m^3+922*a^2*c*e^5*m^2*x-36*a*b^2*d*e^4*m^3+922*a*b^2*e^5*m^2*x+12*a*b*c*d^2*e^3*m^3-1068*a*b*c*d*e^4*m^2*x+3048*a*b*c*e^5*m*x^2+288*a*c^2*d^2*e^3*m^2*x-1344*a*c^2*d*e^4*m*x^2+720*a*c^2*e^5*x^3+2*b^3*d^2*e^3*m^3-178*b^3*d*e^4*m^2*x+508*b^3*e^5*m*x^2+288*b^2*c*d^2*e^3*m^2*x-1344*b^2*c*d*e^4*m*x^2+720*b^2*c*e^5*x^3-120*b*c^2*d^3*e^2*m^2*x+1200*b*c^2*d^2*e^3*m*x^2-720*b*c^2*d*e^4*x^3-360*c^3*d^3*e^2*m*x^2+240*c^3*d^2*e^3*x^3+580*a^2*b*e^5*m^2-238*a^2*c*d*e^4*m^2+1404*a^2*c*e^5*m*x-238*a*b^2*d*e^4*m^2+1404*a*b^2*e^5*m*x+180*a*b*c*d^2*e^3*m^2-2328*a*b*c*d*e^4*m*x+1440*a*b*c*e^5*x^2-24*a*c^2*d^3*e^2*m^2+984*a*c^2*d^2*e^3*m*x-720*a*c^2*d*e^4*x^2+30*b^3*d^2*e^3*m^2-388*b^3*d*e^4*m*x+240*b^3*e^5*x^2-24*b^2*c*d^3*e^2*m^2+984*b^2*c*d^2*e^3*m*x-720*b^2*c*d*e^4*x^2-840*b*c^2*d^3*e^2*m*x+720*b*c^2*d^2*e^3*x^2+240*c^3*d^4*e*m*x-240*c^3*d^3*e^2*x^2+1044*a^2*b*e^5*m-684*a^2*c*d*e^4*m+720*a^2*c*e^5*x-684*a*b^2*d*e^4*m+720*a*b^2*e^5*x+888*a*b*c*d^2*e^3*m-1440*a*b*c*d*e^4*x-264*a*c^2*d^3*e^2*m+720*a*c^2*d^2*e^3*x+148*b^3*d^2*e^3*m-240*b^3*d*e^4*x-264*b^2*c*d^3*e^2*m+720*b^2*c*d^2*e^3*x+120*b*c^2*d^4*e*m-720*b*c^2*d^3*e^2*x+240*c^3*d^4*e*x+720*a^2*b*e^5-720*a^2*c*d*e^4-720*a*b^2*d*e^4+1440*a*b*c*d^2*e^3-720*a*c^2*d^3*e^2+240*b^3*d^2*e^3-720*b^2*c*d^3*e^2+720*b*c^2*d^4*e-240*c^3*d^5)/e^6/(m^6+21*m^5+175*m^4+735*m^3+1624*m^2+1764*m+720)","B"
1656,1,424,143,0.048000," ","int((2*c*x+b)*(e*x+d)^m*(c*x^2+b*x+a),x)","\frac{\left(2 c^{2} e^{3} m^{3} x^{3}+3 b c \,e^{3} m^{3} x^{2}+12 c^{2} e^{3} m^{2} x^{3}+2 a c \,e^{3} m^{3} x +b^{2} e^{3} m^{3} x +21 b c \,e^{3} m^{2} x^{2}-6 c^{2} d \,e^{2} m^{2} x^{2}+22 c^{2} e^{3} m \,x^{3}+a b \,e^{3} m^{3}+16 a c \,e^{3} m^{2} x +8 b^{2} e^{3} m^{2} x -6 b c d \,e^{2} m^{2} x +42 b c \,e^{3} m \,x^{2}-18 c^{2} d \,e^{2} m \,x^{2}+12 c^{2} e^{3} x^{3}+9 a b \,e^{3} m^{2}-2 a c d \,e^{2} m^{2}+38 a c \,e^{3} m x -b^{2} d \,e^{2} m^{2}+19 b^{2} e^{3} m x -30 b c d \,e^{2} m x +24 b c \,e^{3} x^{2}+12 c^{2} d^{2} e m x -12 c^{2} d \,e^{2} x^{2}+26 a b \,e^{3} m -14 a c d \,e^{2} m +24 a c \,e^{3} x -7 b^{2} d \,e^{2} m +12 b^{2} e^{3} x +6 b c \,d^{2} e m -24 b c d \,e^{2} x +12 c^{2} d^{2} e x +24 a b \,e^{3}-24 a c d \,e^{2}-12 b^{2} d \,e^{2}+24 b c \,d^{2} e -12 c^{2} d^{3}\right) \left(e x +d \right)^{m +1}}{\left(m^{4}+10 m^{3}+35 m^{2}+50 m +24\right) e^{4}}"," ",0,"(e*x+d)^(m+1)*(2*c^2*e^3*m^3*x^3+3*b*c*e^3*m^3*x^2+12*c^2*e^3*m^2*x^3+2*a*c*e^3*m^3*x+b^2*e^3*m^3*x+21*b*c*e^3*m^2*x^2-6*c^2*d*e^2*m^2*x^2+22*c^2*e^3*m*x^3+a*b*e^3*m^3+16*a*c*e^3*m^2*x+8*b^2*e^3*m^2*x-6*b*c*d*e^2*m^2*x+42*b*c*e^3*m*x^2-18*c^2*d*e^2*m*x^2+12*c^2*e^3*x^3+9*a*b*e^3*m^2-2*a*c*d*e^2*m^2+38*a*c*e^3*m*x-b^2*d*e^2*m^2+19*b^2*e^3*m*x-30*b*c*d*e^2*m*x+24*b*c*e^3*x^2+12*c^2*d^2*e*m*x-12*c^2*d*e^2*x^2+26*a*b*e^3*m-14*a*c*d*e^2*m+24*a*c*e^3*x-7*b^2*d*e^2*m+12*b^2*e^3*x+6*b*c*d^2*e*m-24*b*c*d*e^2*x+12*c^2*d^2*e*x+24*a*b*e^3-24*a*c*d*e^2-12*b^2*d*e^2+24*b*c*d^2*e-12*c^2*d^3)/e^4/(m^4+10*m^3+35*m^2+50*m+24)","B"
1657,0,0,163,1.424000," ","int((2*c*x+b)*(e*x+d)^m/(c*x^2+b*x+a),x)","\int \frac{\left(2 c x +b \right) \left(e x +d \right)^{m}}{c \,x^{2}+b x +a}\, dx"," ",0,"int((2*c*x+b)*(e*x+d)^m/(c*x^2+b*x+a),x)","F"
1658,0,0,346,1.659000," ","int((2*c*x+b)*(e*x+d)^m/(c*x^2+b*x+a)^2,x)","\int \frac{\left(2 c x +b \right) \left(e x +d \right)^{m}}{\left(c \,x^{2}+b x +a \right)^{2}}\, dx"," ",0,"int((2*c*x+b)*(e*x+d)^m/(c*x^2+b*x+a)^2,x)","F"
1659,1,394,112,0.052000," ","int((B*x+A)*(e*x+d)^5*(b^2*x^2+2*a*b*x+a^2),x)","\frac{B \,b^{2} e^{5} x^{9}}{9}+A \,a^{2} d^{5} x +\frac{\left(2 B a b \,e^{5}+\left(A \,e^{5}+5 B d \,e^{4}\right) b^{2}\right) x^{8}}{8}+\frac{\left(B \,a^{2} e^{5}+2 \left(A \,e^{5}+5 B d \,e^{4}\right) a b +\left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) b^{2}\right) x^{7}}{7}+\frac{\left(\left(A \,e^{5}+5 B d \,e^{4}\right) a^{2}+2 \left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) a b +\left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) b^{2}\right) x^{6}}{6}+\frac{\left(\left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) a^{2}+2 \left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) a b +\left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) b^{2}\right) x^{5}}{5}+\frac{\left(\left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) a^{2}+2 \left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) a b +\left(5 A \,d^{4} e +B \,d^{5}\right) b^{2}\right) x^{4}}{4}+\frac{\left(A \,b^{2} d^{5}+\left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) a^{2}+2 \left(5 A \,d^{4} e +B \,d^{5}\right) a b \right) x^{3}}{3}+\frac{\left(2 A a b \,d^{5}+\left(5 A \,d^{4} e +B \,d^{5}\right) a^{2}\right) x^{2}}{2}"," ",0,"1/9*B*e^5*b^2*x^9+1/8*((A*e^5+5*B*d*e^4)*b^2+2*B*e^5*a*b)*x^8+1/7*((5*A*d*e^4+10*B*d^2*e^3)*b^2+2*(A*e^5+5*B*d*e^4)*a*b+B*e^5*a^2)*x^7+1/6*((10*A*d^2*e^3+10*B*d^3*e^2)*b^2+2*(5*A*d*e^4+10*B*d^2*e^3)*a*b+(A*e^5+5*B*d*e^4)*a^2)*x^6+1/5*((10*A*d^3*e^2+5*B*d^4*e)*b^2+2*(10*A*d^2*e^3+10*B*d^3*e^2)*a*b+(5*A*d*e^4+10*B*d^2*e^3)*a^2)*x^5+1/4*((5*A*d^4*e+B*d^5)*b^2+2*(10*A*d^3*e^2+5*B*d^4*e)*a*b+(10*A*d^2*e^3+10*B*d^3*e^2)*a^2)*x^4+1/3*(A*d^5*b^2+2*(5*A*d^4*e+B*d^5)*a*b+(10*A*d^3*e^2+5*B*d^4*e)*a^2)*x^3+1/2*(2*A*d^5*a*b+(5*A*d^4*e+B*d^5)*a^2)*x^2+A*d^5*a^2*x","B"
1660,1,319,112,0.046000," ","int((B*x+A)*(e*x+d)^4*(b^2*x^2+2*a*b*x+a^2),x)","\frac{B \,b^{2} e^{4} x^{8}}{8}+A \,a^{2} d^{4} x +\frac{\left(2 B a b \,e^{4}+\left(A \,e^{4}+4 B d \,e^{3}\right) b^{2}\right) x^{7}}{7}+\frac{\left(B \,a^{2} e^{4}+2 \left(A \,e^{4}+4 B d \,e^{3}\right) a b +\left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) b^{2}\right) x^{6}}{6}+\frac{\left(\left(A \,e^{4}+4 B d \,e^{3}\right) a^{2}+2 \left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) a b +\left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) b^{2}\right) x^{5}}{5}+\frac{\left(\left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) a^{2}+2 \left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) a b +\left(4 A \,d^{3} e +B \,d^{4}\right) b^{2}\right) x^{4}}{4}+\frac{\left(A \,b^{2} d^{4}+\left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) a^{2}+2 \left(4 A \,d^{3} e +B \,d^{4}\right) a b \right) x^{3}}{3}+\frac{\left(2 A a b \,d^{4}+\left(4 A \,d^{3} e +B \,d^{4}\right) a^{2}\right) x^{2}}{2}"," ",0,"1/8*B*e^4*b^2*x^8+1/7*((A*e^4+4*B*d*e^3)*b^2+2*B*e^4*a*b)*x^7+1/6*((4*A*d*e^3+6*B*d^2*e^2)*b^2+2*(A*e^4+4*B*d*e^3)*a*b+B*a^2*e^4)*x^6+1/5*((6*A*d^2*e^2+4*B*d^3*e)*b^2+2*(4*A*d*e^3+6*B*d^2*e^2)*a*b+(A*e^4+4*B*d*e^3)*a^2)*x^5+1/4*((4*A*d^3*e+B*d^4)*b^2+2*(6*A*d^2*e^2+4*B*d^3*e)*a*b+(4*A*d*e^3+6*B*d^2*e^2)*a^2)*x^4+1/3*(A*d^4*b^2+2*(4*A*d^3*e+B*d^4)*a*b+(6*A*d^2*e^2+4*B*d^3*e)*a^2)*x^3+1/2*(2*A*d^4*a*b+(4*A*d^3*e+B*d^4)*a^2)*x^2+A*d^4*a^2*x","B"
1661,1,244,112,0.048000," ","int((B*x+A)*(e*x+d)^3*(b^2*x^2+2*a*b*x+a^2),x)","\frac{B \,b^{2} e^{3} x^{7}}{7}+A \,a^{2} d^{3} x +\frac{\left(2 B a b \,e^{3}+\left(A \,e^{3}+3 B d \,e^{2}\right) b^{2}\right) x^{6}}{6}+\frac{\left(B \,a^{2} e^{3}+2 \left(A \,e^{3}+3 B d \,e^{2}\right) a b +\left(3 A d \,e^{2}+3 B \,d^{2} e \right) b^{2}\right) x^{5}}{5}+\frac{\left(\left(A \,e^{3}+3 B d \,e^{2}\right) a^{2}+2 \left(3 A d \,e^{2}+3 B \,d^{2} e \right) a b +\left(3 A \,d^{2} e +B \,d^{3}\right) b^{2}\right) x^{4}}{4}+\frac{\left(A \,b^{2} d^{3}+\left(3 A d \,e^{2}+3 B \,d^{2} e \right) a^{2}+2 \left(3 A \,d^{2} e +B \,d^{3}\right) a b \right) x^{3}}{3}+\frac{\left(2 A a b \,d^{3}+\left(3 A \,d^{2} e +B \,d^{3}\right) a^{2}\right) x^{2}}{2}"," ",0,"1/7*B*e^3*b^2*x^7+1/6*((A*e^3+3*B*d*e^2)*b^2+2*B*e^3*a*b)*x^6+1/5*((3*A*d*e^2+3*B*d^2*e)*b^2+2*(A*e^3+3*B*d*e^2)*a*b+B*a^2*e^3)*x^5+1/4*((3*A*d^2*e+B*d^3)*b^2+2*(3*A*d*e^2+3*B*d^2*e)*a*b+(A*e^3+3*B*d*e^2)*a^2)*x^4+1/3*(A*d^3*b^2+2*(3*A*d^2*e+B*d^3)*a*b+(3*A*d*e^2+3*B*d^2*e)*a^2)*x^3+1/2*(2*A*d^3*a*b+(3*A*d^2*e+B*d^3)*a^2)*x^2+A*d^3*a^2*x","B"
1662,1,169,110,0.047000," ","int((B*x+A)*(e*x+d)^2*(b^2*x^2+2*a*b*x+a^2),x)","\frac{B \,b^{2} e^{2} x^{6}}{6}+A \,a^{2} d^{2} x +\frac{\left(2 B a b \,e^{2}+\left(A \,e^{2}+2 B d e \right) b^{2}\right) x^{5}}{5}+\frac{\left(B \,a^{2} e^{2}+2 \left(A \,e^{2}+2 B d e \right) a b +\left(2 A d e +B \,d^{2}\right) b^{2}\right) x^{4}}{4}+\frac{\left(A \,b^{2} d^{2}+\left(A \,e^{2}+2 B d e \right) a^{2}+2 \left(2 A d e +B \,d^{2}\right) a b \right) x^{3}}{3}+\frac{\left(2 A a b \,d^{2}+\left(2 A d e +B \,d^{2}\right) a^{2}\right) x^{2}}{2}"," ",0,"1/6*B*e^2*b^2*x^6+1/5*((A*e^2+2*B*d*e)*b^2+2*B*e^2*a*b)*x^5+1/4*((2*A*d*e+B*d^2)*b^2+2*(A*e^2+2*B*d*e)*a*b+B*a^2*e^2)*x^4+1/3*(A*d^2*b^2+2*(2*A*d*e+B*d^2)*a*b+(A*e^2+2*B*d*e)*a^2)*x^3+1/2*(2*A*d^2*a*b+(2*A*d*e+B*d^2)*a^2)*x^2+A*d^2*a^2*x","A"
1663,1,94,69,0.039000," ","int((B*x+A)*(e*x+d)*(b^2*x^2+2*a*b*x+a^2),x)","\frac{B \,b^{2} e \,x^{5}}{5}+A \,a^{2} d x +\frac{\left(2 B a b e +\left(A e +B d \right) b^{2}\right) x^{4}}{4}+\frac{\left(A \,b^{2} d +B \,a^{2} e +2 \left(A e +B d \right) a b \right) x^{3}}{3}+\frac{\left(2 A a b d +\left(A e +B d \right) a^{2}\right) x^{2}}{2}"," ",0,"1/5*B*b^2*e*x^5+1/4*((A*e+B*d)*b^2+2*B*e*a*b)*x^4+1/3*(A*d*b^2+2*(A*e+B*d)*a*b+B*e*a^2)*x^3+1/2*(2*A*d*a*b+(A*e+B*d)*a^2)*x^2+A*a^2*d*x","A"
1664,1,49,34,0.043000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2),x)","\frac{B \,b^{2} x^{4}}{4}+A \,a^{2} x +\frac{\left(A \,b^{2}+2 B a b \right) x^{3}}{3}+\frac{\left(2 A a b +B \,a^{2}\right) x^{2}}{2}"," ",0,"1/4*B*b^2*x^4+1/3*(A*b^2+2*B*a*b)*x^3+1/2*(2*A*a*b+B*a^2)*x^2+A*a^2*x","A"
1665,1,197,88,0.046000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d),x)","\frac{B \,b^{2} x^{3}}{3 e}+\frac{A \,b^{2} x^{2}}{2 e}+\frac{B a b \,x^{2}}{e}-\frac{B \,b^{2} d \,x^{2}}{2 e^{2}}+\frac{A \,a^{2} \ln \left(e x +d \right)}{e}-\frac{2 A a b d \ln \left(e x +d \right)}{e^{2}}+\frac{2 A a b x}{e}+\frac{A \,b^{2} d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{A \,b^{2} d x}{e^{2}}-\frac{B \,a^{2} d \ln \left(e x +d \right)}{e^{2}}+\frac{B \,a^{2} x}{e}+\frac{2 B a b \,d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{2 B a b d x}{e^{2}}-\frac{B \,b^{2} d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{B \,b^{2} d^{2} x}{e^{3}}"," ",0,"1/3/e*b^2*B*x^3+1/2/e*A*x^2*b^2+1/e*B*x^2*a*b-1/2/e^2*B*x^2*b^2*d+2/e*A*x*a*b-1/e^2*A*x*b^2*d+B*a^2/e*x-2/e^2*B*x*a*b*d+1/e^3*B*x*b^2*d^2+A*a^2/e*ln(e*x+d)-2/e^2*ln(e*x+d)*A*a*b*d+1/e^3*ln(e*x+d)*A*b^2*d^2-B*a^2*d/e^2*ln(e*x+d)+2/e^3*ln(e*x+d)*B*a*b*d^2-1/e^4*ln(e*x+d)*B*b^2*d^3","B"
1666,1,223,99,0.053000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^2,x)","\frac{B \,b^{2} x^{2}}{2 e^{2}}-\frac{A \,a^{2}}{\left(e x +d \right) e}+\frac{2 A a b d}{\left(e x +d \right) e^{2}}+\frac{2 A a b \ln \left(e x +d \right)}{e^{2}}-\frac{A \,b^{2} d^{2}}{\left(e x +d \right) e^{3}}-\frac{2 A \,b^{2} d \ln \left(e x +d \right)}{e^{3}}+\frac{A \,b^{2} x}{e^{2}}+\frac{B \,a^{2} d}{\left(e x +d \right) e^{2}}+\frac{B \,a^{2} \ln \left(e x +d \right)}{e^{2}}-\frac{2 B a b \,d^{2}}{\left(e x +d \right) e^{3}}-\frac{4 B a b d \ln \left(e x +d \right)}{e^{3}}+\frac{2 B a b x}{e^{2}}+\frac{B \,b^{2} d^{3}}{\left(e x +d \right) e^{4}}+\frac{3 B \,b^{2} d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{2 B \,b^{2} d x}{e^{3}}"," ",0,"1/2*B*b^2/e^2*x^2+b^2/e^2*A*x+2*b/e^2*a*B*x-2*b^2/e^3*B*d*x-1/e/(e*x+d)*A*a^2+2/e^2/(e*x+d)*A*d*a*b-1/e^3/(e*x+d)*A*b^2*d^2+1/e^2/(e*x+d)*B*d*a^2-2/e^3/(e*x+d)*B*a*b*d^2+1/e^4/(e*x+d)*B*b^2*d^3+2/e^2*ln(e*x+d)*A*a*b-2/e^3*ln(e*x+d)*A*b^2*d+1/e^2*ln(e*x+d)*B*a^2-4/e^3*ln(e*x+d)*B*a*b*d+3/e^4*ln(e*x+d)*B*b^2*d^2","B"
1667,1,242,104,0.053000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^3,x)","-\frac{A \,a^{2}}{2 \left(e x +d \right)^{2} e}+\frac{A a b d}{\left(e x +d \right)^{2} e^{2}}-\frac{A \,b^{2} d^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{B \,a^{2} d}{2 \left(e x +d \right)^{2} e^{2}}-\frac{B a b \,d^{2}}{\left(e x +d \right)^{2} e^{3}}+\frac{B \,b^{2} d^{3}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{2 A a b}{\left(e x +d \right) e^{2}}+\frac{2 A \,b^{2} d}{\left(e x +d \right) e^{3}}+\frac{A \,b^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{B \,a^{2}}{\left(e x +d \right) e^{2}}+\frac{4 B a b d}{\left(e x +d \right) e^{3}}+\frac{2 B a b \ln \left(e x +d \right)}{e^{3}}-\frac{3 B \,b^{2} d^{2}}{\left(e x +d \right) e^{4}}-\frac{3 B \,b^{2} d \ln \left(e x +d \right)}{e^{4}}+\frac{B \,b^{2} x}{e^{3}}"," ",0,"B*b^2/e^3*x-2/e^2/(e*x+d)*A*a*b+2/e^3/(e*x+d)*A*b^2*d-1/e^2/(e*x+d)*B*a^2+4/e^3/(e*x+d)*B*a*b*d-3/e^4/(e*x+d)*B*b^2*d^2-1/2/e/(e*x+d)^2*A*a^2+1/e^2/(e*x+d)^2*A*d*a*b-1/2/e^3/(e*x+d)^2*A*d^2*b^2+1/2/e^2/(e*x+d)^2*B*d*a^2-1/e^3/(e*x+d)^2*B*d^2*a*b+1/2/e^4/(e*x+d)^2*B*b^2*d^3+b^2/e^3*ln(e*x+d)*A+2*b/e^3*ln(e*x+d)*a*B-3*b^2/e^4*ln(e*x+d)*B*d","B"
1668,1,251,97,0.063000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^4,x)","-\frac{A \,a^{2}}{3 \left(e x +d \right)^{3} e}+\frac{2 A a b d}{3 \left(e x +d \right)^{3} e^{2}}-\frac{A \,b^{2} d^{2}}{3 \left(e x +d \right)^{3} e^{3}}+\frac{B \,a^{2} d}{3 \left(e x +d \right)^{3} e^{2}}-\frac{2 B a b \,d^{2}}{3 \left(e x +d \right)^{3} e^{3}}+\frac{B \,b^{2} d^{3}}{3 \left(e x +d \right)^{3} e^{4}}-\frac{A a b}{\left(e x +d \right)^{2} e^{2}}+\frac{A \,b^{2} d}{\left(e x +d \right)^{2} e^{3}}-\frac{B \,a^{2}}{2 \left(e x +d \right)^{2} e^{2}}+\frac{2 B a b d}{\left(e x +d \right)^{2} e^{3}}-\frac{3 B \,b^{2} d^{2}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{A \,b^{2}}{\left(e x +d \right) e^{3}}-\frac{2 B a b}{\left(e x +d \right) e^{3}}+\frac{3 B \,b^{2} d}{\left(e x +d \right) e^{4}}+\frac{B \,b^{2} \ln \left(e x +d \right)}{e^{4}}"," ",0,"-b^2/e^3/(e*x+d)*A-2*b/e^3/(e*x+d)*a*B+3*b^2/e^4/(e*x+d)*B*d-1/3/(e*x+d)^3*A*a^2/e+2/3/e^2/(e*x+d)^3*A*a*b*d-1/3/e^3/(e*x+d)^3*A*b^2*d^2+1/3/(e*x+d)^3*B*a^2*d/e^2-2/3/e^3/(e*x+d)^3*B*d^2*a*b+1/3/e^4/(e*x+d)^3*B*b^2*d^3-1/e^2/(e*x+d)^2*A*a*b+1/e^3/(e*x+d)^2*A*b^2*d-1/2/(e*x+d)^2*B*a^2/e^2+2/e^3/(e*x+d)^2*B*d*a*b-3/2/e^4/(e*x+d)^2*B*d^2*b^2+B*b^2/e^4*ln(e*x+d)","B"
1669,1,166,82,0.056000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^5,x)","-\frac{B \,b^{2}}{\left(e x +d \right) e^{4}}-\frac{\left(A b e +2 a B e -3 B b d \right) b}{2 \left(e x +d \right)^{2} e^{4}}-\frac{2 A a b \,e^{2}-2 A \,b^{2} d e +B \,a^{2} e^{2}-4 B d a b e +3 b^{2} B \,d^{2}}{3 \left(e x +d \right)^{3} e^{4}}-\frac{A \,a^{2} e^{3}-2 A a b d \,e^{2}+A \,b^{2} d^{2} e -B d \,a^{2} e^{2}+2 B \,d^{2} a b e -b^{2} B \,d^{3}}{4 \left(e x +d \right)^{4} e^{4}}"," ",0,"-b^2*B/e^4/(e*x+d)-1/3*(2*A*a*b*e^2-2*A*b^2*d*e+B*a^2*e^2-4*B*a*b*d*e+3*B*b^2*d^2)/e^4/(e*x+d)^3-1/2*b*(A*b*e+2*B*a*e-3*B*b*d)/e^4/(e*x+d)^2-1/4*(A*a^2*e^3-2*A*a*b*d*e^2+A*b^2*d^2*e-B*a^2*d*e^2+2*B*a*b*d^2*e-B*b^2*d^3)/e^4/(e*x+d)^4","B"
1670,1,166,112,0.048000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^6,x)","-\frac{B \,b^{2}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{\left(A b e +2 a B e -3 B b d \right) b}{3 \left(e x +d \right)^{3} e^{4}}-\frac{A \,a^{2} e^{3}-2 A a b d \,e^{2}+A \,b^{2} d^{2} e -B d \,a^{2} e^{2}+2 B \,d^{2} a b e -b^{2} B \,d^{3}}{5 \left(e x +d \right)^{5} e^{4}}-\frac{2 A a b \,e^{2}-2 A \,b^{2} d e +B \,a^{2} e^{2}-4 B d a b e +3 b^{2} B \,d^{2}}{4 \left(e x +d \right)^{4} e^{4}}"," ",0,"-1/5*(A*a^2*e^3-2*A*a*b*d*e^2+A*b^2*d^2*e-B*a^2*d*e^2+2*B*a*b*d^2*e-B*b^2*d^3)/e^4/(e*x+d)^5-1/3*b*(A*b*e+2*B*a*e-3*B*b*d)/e^4/(e*x+d)^3-1/2/(e*x+d)^2*B*b^2/e^4-1/4*(2*A*a*b*e^2-2*A*b^2*d*e+B*a^2*e^2-4*B*a*b*d*e+3*B*b^2*d^2)/e^4/(e*x+d)^4","A"
1671,1,166,112,0.054000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^7,x)","-\frac{B \,b^{2}}{3 \left(e x +d \right)^{3} e^{4}}-\frac{\left(A b e +2 a B e -3 B b d \right) b}{4 \left(e x +d \right)^{4} e^{4}}-\frac{2 A a b \,e^{2}-2 A \,b^{2} d e +B \,a^{2} e^{2}-4 B d a b e +3 b^{2} B \,d^{2}}{5 \left(e x +d \right)^{5} e^{4}}-\frac{A \,a^{2} e^{3}-2 A a b d \,e^{2}+A \,b^{2} d^{2} e -B d \,a^{2} e^{2}+2 B \,d^{2} a b e -b^{2} B \,d^{3}}{6 \left(e x +d \right)^{6} e^{4}}"," ",0,"-1/5*(2*A*a*b*e^2-2*A*b^2*d*e+B*a^2*e^2-4*B*a*b*d*e+3*B*b^2*d^2)/e^4/(e*x+d)^5-1/3*b^2*B/e^4/(e*x+d)^3-1/4*b*(A*b*e+2*B*a*e-3*B*b*d)/e^4/(e*x+d)^4-1/6*(A*a^2*e^3-2*A*a*b*d*e^2+A*b^2*d^2*e-B*a^2*d*e^2+2*B*a*b*d^2*e-B*b^2*d^3)/e^4/(e*x+d)^6","A"
1672,1,166,112,0.053000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^8,x)","-\frac{B \,b^{2}}{4 \left(e x +d \right)^{4} e^{4}}-\frac{\left(A b e +2 a B e -3 B b d \right) b}{5 \left(e x +d \right)^{5} e^{4}}-\frac{A \,a^{2} e^{3}-2 A a b d \,e^{2}+A \,b^{2} d^{2} e -B d \,a^{2} e^{2}+2 B \,d^{2} a b e -b^{2} B \,d^{3}}{7 \left(e x +d \right)^{7} e^{4}}-\frac{2 A a b \,e^{2}-2 A \,b^{2} d e +B \,a^{2} e^{2}-4 B d a b e +3 b^{2} B \,d^{2}}{6 \left(e x +d \right)^{6} e^{4}}"," ",0,"-1/5*b*(A*b*e+2*B*a*e-3*B*b*d)/e^4/(e*x+d)^5-1/7*(A*a^2*e^3-2*A*a*b*d*e^2+A*b^2*d^2*e-B*a^2*d*e^2+2*B*a*b*d^2*e-B*b^2*d^3)/e^4/(e*x+d)^7-1/4*b^2*B/e^4/(e*x+d)^4-1/6*(2*A*a*b*e^2-2*A*b^2*d*e+B*a^2*e^2-4*B*a*b*d*e+3*B*b^2*d^2)/e^4/(e*x+d)^6","A"
1673,1,950,194,0.039000," ","int((B*x+A)*(e*x+d)^7*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{B \,b^{4} e^{7} x^{13}}{13}+A \,a^{4} d^{7} x +\frac{\left(4 B a \,b^{3} e^{7}+\left(A \,e^{7}+7 B d \,e^{6}\right) b^{4}\right) x^{12}}{12}+\frac{\left(6 B \,a^{2} b^{2} e^{7}+4 \left(A \,e^{7}+7 B d \,e^{6}\right) a \,b^{3}+\left(7 A d \,e^{6}+21 B \,d^{2} e^{5}\right) b^{4}\right) x^{11}}{11}+\frac{\left(4 B \,a^{3} b \,e^{7}+6 \left(A \,e^{7}+7 B d \,e^{6}\right) a^{2} b^{2}+4 \left(7 A d \,e^{6}+21 B \,d^{2} e^{5}\right) a \,b^{3}+\left(21 A \,d^{2} e^{5}+35 B \,d^{3} e^{4}\right) b^{4}\right) x^{10}}{10}+\frac{\left(B \,a^{4} e^{7}+4 \left(A \,e^{7}+7 B d \,e^{6}\right) a^{3} b +6 \left(7 A d \,e^{6}+21 B \,d^{2} e^{5}\right) a^{2} b^{2}+4 \left(21 A \,d^{2} e^{5}+35 B \,d^{3} e^{4}\right) a \,b^{3}+\left(35 A \,d^{3} e^{4}+35 B \,d^{4} e^{3}\right) b^{4}\right) x^{9}}{9}+\frac{\left(\left(A \,e^{7}+7 B d \,e^{6}\right) a^{4}+4 \left(7 A d \,e^{6}+21 B \,d^{2} e^{5}\right) a^{3} b +6 \left(21 A \,d^{2} e^{5}+35 B \,d^{3} e^{4}\right) a^{2} b^{2}+4 \left(35 A \,d^{3} e^{4}+35 B \,d^{4} e^{3}\right) a \,b^{3}+\left(35 A \,d^{4} e^{3}+21 B \,d^{5} e^{2}\right) b^{4}\right) x^{8}}{8}+\frac{\left(\left(7 A d \,e^{6}+21 B \,d^{2} e^{5}\right) a^{4}+4 \left(21 A \,d^{2} e^{5}+35 B \,d^{3} e^{4}\right) a^{3} b +6 \left(35 A \,d^{3} e^{4}+35 B \,d^{4} e^{3}\right) a^{2} b^{2}+4 \left(35 A \,d^{4} e^{3}+21 B \,d^{5} e^{2}\right) a \,b^{3}+\left(21 A \,d^{5} e^{2}+7 B \,d^{6} e \right) b^{4}\right) x^{7}}{7}+\frac{\left(\left(21 A \,d^{2} e^{5}+35 B \,d^{3} e^{4}\right) a^{4}+4 \left(35 A \,d^{3} e^{4}+35 B \,d^{4} e^{3}\right) a^{3} b +6 \left(35 A \,d^{4} e^{3}+21 B \,d^{5} e^{2}\right) a^{2} b^{2}+4 \left(21 A \,d^{5} e^{2}+7 B \,d^{6} e \right) a \,b^{3}+\left(7 A \,d^{6} e +B \,d^{7}\right) b^{4}\right) x^{6}}{6}+\frac{\left(A \,b^{4} d^{7}+\left(35 A \,d^{3} e^{4}+35 B \,d^{4} e^{3}\right) a^{4}+4 \left(35 A \,d^{4} e^{3}+21 B \,d^{5} e^{2}\right) a^{3} b +6 \left(21 A \,d^{5} e^{2}+7 B \,d^{6} e \right) a^{2} b^{2}+4 \left(7 A \,d^{6} e +B \,d^{7}\right) a \,b^{3}\right) x^{5}}{5}+\frac{\left(4 A a \,b^{3} d^{7}+\left(35 A \,d^{4} e^{3}+21 B \,d^{5} e^{2}\right) a^{4}+4 \left(21 A \,d^{5} e^{2}+7 B \,d^{6} e \right) a^{3} b +6 \left(7 A \,d^{6} e +B \,d^{7}\right) a^{2} b^{2}\right) x^{4}}{4}+\frac{\left(6 A \,a^{2} b^{2} d^{7}+\left(21 A \,d^{5} e^{2}+7 B \,d^{6} e \right) a^{4}+4 \left(7 A \,d^{6} e +B \,d^{7}\right) a^{3} b \right) x^{3}}{3}+\frac{\left(4 A \,a^{3} b \,d^{7}+\left(7 A \,d^{6} e +B \,d^{7}\right) a^{4}\right) x^{2}}{2}"," ",0,"1/13*B*e^7*b^4*x^13+1/12*((A*e^7+7*B*d*e^6)*b^4+4*B*e^7*a*b^3)*x^12+1/11*((7*A*d*e^6+21*B*d^2*e^5)*b^4+4*(A*e^7+7*B*d*e^6)*a*b^3+6*B*e^7*a^2*b^2)*x^11+1/10*((21*A*d^2*e^5+35*B*d^3*e^4)*b^4+4*(7*A*d*e^6+21*B*d^2*e^5)*a*b^3+6*(A*e^7+7*B*d*e^6)*a^2*b^2+4*B*e^7*a^3*b)*x^10+1/9*((35*A*d^3*e^4+35*B*d^4*e^3)*b^4+4*(21*A*d^2*e^5+35*B*d^3*e^4)*a*b^3+6*(7*A*d*e^6+21*B*d^2*e^5)*a^2*b^2+4*(A*e^7+7*B*d*e^6)*a^3*b+B*e^7*a^4)*x^9+1/8*((35*A*d^4*e^3+21*B*d^5*e^2)*b^4+4*(35*A*d^3*e^4+35*B*d^4*e^3)*a*b^3+6*(21*A*d^2*e^5+35*B*d^3*e^4)*a^2*b^2+4*(7*A*d*e^6+21*B*d^2*e^5)*a^3*b+(A*e^7+7*B*d*e^6)*a^4)*x^8+1/7*((21*A*d^5*e^2+7*B*d^6*e)*b^4+4*(35*A*d^4*e^3+21*B*d^5*e^2)*a*b^3+6*(35*A*d^3*e^4+35*B*d^4*e^3)*a^2*b^2+4*(21*A*d^2*e^5+35*B*d^3*e^4)*a^3*b+(7*A*d*e^6+21*B*d^2*e^5)*a^4)*x^7+1/6*((7*A*d^6*e+B*d^7)*b^4+4*(21*A*d^5*e^2+7*B*d^6*e)*a*b^3+6*(35*A*d^4*e^3+21*B*d^5*e^2)*a^2*b^2+4*(35*A*d^3*e^4+35*B*d^4*e^3)*a^3*b+(21*A*d^2*e^5+35*B*d^3*e^4)*a^4)*x^6+1/5*(A*d^7*b^4+4*(7*A*d^6*e+B*d^7)*a*b^3+6*(21*A*d^5*e^2+7*B*d^6*e)*a^2*b^2+4*(35*A*d^4*e^3+21*B*d^5*e^2)*a^3*b+(35*A*d^3*e^4+35*B*d^4*e^3)*a^4)*x^5+1/4*(4*A*d^7*a*b^3+6*(7*A*d^6*e+B*d^7)*a^2*b^2+4*(21*A*d^5*e^2+7*B*d^6*e)*a^3*b+(35*A*d^4*e^3+21*B*d^5*e^2)*a^4)*x^4+1/3*(6*A*d^7*a^2*b^2+4*(7*A*d^6*e+B*d^7)*a^3*b+(21*A*d^5*e^2+7*B*d^6*e)*a^4)*x^3+1/2*(4*A*d^7*a^3*b+(7*A*d^6*e+B*d^7)*a^4)*x^2+A*d^7*a^4*x","B"
1674,1,821,194,0.044000," ","int((B*x+A)*(e*x+d)^6*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{B \,b^{4} e^{6} x^{12}}{12}+A \,a^{4} d^{6} x +\frac{\left(4 B a \,b^{3} e^{6}+\left(A \,e^{6}+6 B d \,e^{5}\right) b^{4}\right) x^{11}}{11}+\frac{\left(6 B \,a^{2} b^{2} e^{6}+4 \left(A \,e^{6}+6 B d \,e^{5}\right) a \,b^{3}+\left(6 A d \,e^{5}+15 B \,d^{2} e^{4}\right) b^{4}\right) x^{10}}{10}+\frac{\left(4 B \,a^{3} b \,e^{6}+6 \left(A \,e^{6}+6 B d \,e^{5}\right) a^{2} b^{2}+4 \left(6 A d \,e^{5}+15 B \,d^{2} e^{4}\right) a \,b^{3}+\left(15 A \,d^{2} e^{4}+20 B \,d^{3} e^{3}\right) b^{4}\right) x^{9}}{9}+\frac{\left(B \,a^{4} e^{6}+4 \left(A \,e^{6}+6 B d \,e^{5}\right) a^{3} b +6 \left(6 A d \,e^{5}+15 B \,d^{2} e^{4}\right) a^{2} b^{2}+4 \left(15 A \,d^{2} e^{4}+20 B \,d^{3} e^{3}\right) a \,b^{3}+\left(20 A \,d^{3} e^{3}+15 B \,d^{4} e^{2}\right) b^{4}\right) x^{8}}{8}+\frac{\left(\left(A \,e^{6}+6 B d \,e^{5}\right) a^{4}+4 \left(6 A d \,e^{5}+15 B \,d^{2} e^{4}\right) a^{3} b +6 \left(15 A \,d^{2} e^{4}+20 B \,d^{3} e^{3}\right) a^{2} b^{2}+4 \left(20 A \,d^{3} e^{3}+15 B \,d^{4} e^{2}\right) a \,b^{3}+\left(15 A \,d^{4} e^{2}+6 B \,d^{5} e \right) b^{4}\right) x^{7}}{7}+\frac{\left(\left(6 A d \,e^{5}+15 B \,d^{2} e^{4}\right) a^{4}+4 \left(15 A \,d^{2} e^{4}+20 B \,d^{3} e^{3}\right) a^{3} b +6 \left(20 A \,d^{3} e^{3}+15 B \,d^{4} e^{2}\right) a^{2} b^{2}+4 \left(15 A \,d^{4} e^{2}+6 B \,d^{5} e \right) a \,b^{3}+\left(6 A \,d^{5} e +B \,d^{6}\right) b^{4}\right) x^{6}}{6}+\frac{\left(A \,b^{4} d^{6}+\left(15 A \,d^{2} e^{4}+20 B \,d^{3} e^{3}\right) a^{4}+4 \left(20 A \,d^{3} e^{3}+15 B \,d^{4} e^{2}\right) a^{3} b +6 \left(15 A \,d^{4} e^{2}+6 B \,d^{5} e \right) a^{2} b^{2}+4 \left(6 A \,d^{5} e +B \,d^{6}\right) a \,b^{3}\right) x^{5}}{5}+\frac{\left(4 A a \,b^{3} d^{6}+\left(20 A \,d^{3} e^{3}+15 B \,d^{4} e^{2}\right) a^{4}+4 \left(15 A \,d^{4} e^{2}+6 B \,d^{5} e \right) a^{3} b +6 \left(6 A \,d^{5} e +B \,d^{6}\right) a^{2} b^{2}\right) x^{4}}{4}+\frac{\left(6 A \,a^{2} b^{2} d^{6}+\left(15 A \,d^{4} e^{2}+6 B \,d^{5} e \right) a^{4}+4 \left(6 A \,d^{5} e +B \,d^{6}\right) a^{3} b \right) x^{3}}{3}+\frac{\left(4 A \,a^{3} b \,d^{6}+\left(6 A \,d^{5} e +B \,d^{6}\right) a^{4}\right) x^{2}}{2}"," ",0,"1/12*B*e^6*b^4*x^12+1/11*((A*e^6+6*B*d*e^5)*b^4+4*B*e^6*a*b^3)*x^11+1/10*((6*A*d*e^5+15*B*d^2*e^4)*b^4+4*(A*e^6+6*B*d*e^5)*a*b^3+6*B*e^6*a^2*b^2)*x^10+1/9*((15*A*d^2*e^4+20*B*d^3*e^3)*b^4+4*(6*A*d*e^5+15*B*d^2*e^4)*a*b^3+6*(A*e^6+6*B*d*e^5)*a^2*b^2+4*B*e^6*a^3*b)*x^9+1/8*((20*A*d^3*e^3+15*B*d^4*e^2)*b^4+4*(15*A*d^2*e^4+20*B*d^3*e^3)*a*b^3+6*(6*A*d*e^5+15*B*d^2*e^4)*a^2*b^2+4*(A*e^6+6*B*d*e^5)*a^3*b+B*e^6*a^4)*x^8+1/7*((15*A*d^4*e^2+6*B*d^5*e)*b^4+4*(20*A*d^3*e^3+15*B*d^4*e^2)*a*b^3+6*(15*A*d^2*e^4+20*B*d^3*e^3)*a^2*b^2+4*(6*A*d*e^5+15*B*d^2*e^4)*a^3*b+(A*e^6+6*B*d*e^5)*a^4)*x^7+1/6*((6*A*d^5*e+B*d^6)*b^4+4*(15*A*d^4*e^2+6*B*d^5*e)*a*b^3+6*(20*A*d^3*e^3+15*B*d^4*e^2)*a^2*b^2+4*(15*A*d^2*e^4+20*B*d^3*e^3)*a^3*b+(6*A*d*e^5+15*B*d^2*e^4)*a^4)*x^6+1/5*(A*d^6*b^4+4*(6*A*d^5*e+B*d^6)*a*b^3+6*(15*A*d^4*e^2+6*B*d^5*e)*a^2*b^2+4*(20*A*d^3*e^3+15*B*d^4*e^2)*a^3*b+(15*A*d^2*e^4+20*B*d^3*e^3)*a^4)*x^5+1/4*(4*A*d^6*a*b^3+6*(6*A*d^5*e+B*d^6)*a^2*b^2+4*(15*A*d^4*e^2+6*B*d^5*e)*a^3*b+(20*A*d^3*e^3+15*B*d^4*e^2)*a^4)*x^4+1/3*(6*A*d^6*a^2*b^2+4*(6*A*d^5*e+B*d^6)*a^3*b+(15*A*d^4*e^2+6*B*d^5*e)*a^4)*x^3+1/2*(4*A*d^6*a^3*b+(6*A*d^5*e+B*d^6)*a^4)*x^2+A*d^6*a^4*x","B"
1675,1,692,194,0.045000," ","int((B*x+A)*(e*x+d)^5*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{B \,b^{4} e^{5} x^{11}}{11}+A \,a^{4} d^{5} x +\frac{\left(4 B a \,b^{3} e^{5}+\left(A \,e^{5}+5 B d \,e^{4}\right) b^{4}\right) x^{10}}{10}+\frac{\left(6 B \,a^{2} b^{2} e^{5}+4 \left(A \,e^{5}+5 B d \,e^{4}\right) a \,b^{3}+\left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) b^{4}\right) x^{9}}{9}+\frac{\left(4 B \,a^{3} b \,e^{5}+6 \left(A \,e^{5}+5 B d \,e^{4}\right) a^{2} b^{2}+4 \left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) a \,b^{3}+\left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) b^{4}\right) x^{8}}{8}+\frac{\left(B \,a^{4} e^{5}+4 \left(A \,e^{5}+5 B d \,e^{4}\right) a^{3} b +6 \left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) a^{2} b^{2}+4 \left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) a \,b^{3}+\left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) b^{4}\right) x^{7}}{7}+\frac{\left(\left(A \,e^{5}+5 B d \,e^{4}\right) a^{4}+4 \left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) a^{3} b +6 \left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) a^{2} b^{2}+4 \left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) a \,b^{3}+\left(5 A \,d^{4} e +B \,d^{5}\right) b^{4}\right) x^{6}}{6}+\frac{\left(A \,b^{4} d^{5}+\left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) a^{4}+4 \left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) a^{3} b +6 \left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) a^{2} b^{2}+4 \left(5 A \,d^{4} e +B \,d^{5}\right) a \,b^{3}\right) x^{5}}{5}+\frac{\left(4 A a \,b^{3} d^{5}+\left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) a^{4}+4 \left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) a^{3} b +6 \left(5 A \,d^{4} e +B \,d^{5}\right) a^{2} b^{2}\right) x^{4}}{4}+\frac{\left(6 A \,a^{2} b^{2} d^{5}+\left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) a^{4}+4 \left(5 A \,d^{4} e +B \,d^{5}\right) a^{3} b \right) x^{3}}{3}+\frac{\left(4 A \,a^{3} b \,d^{5}+\left(5 A \,d^{4} e +B \,d^{5}\right) a^{4}\right) x^{2}}{2}"," ",0,"1/11*B*e^5*b^4*x^11+1/10*((A*e^5+5*B*d*e^4)*b^4+4*B*e^5*a*b^3)*x^10+1/9*((5*A*d*e^4+10*B*d^2*e^3)*b^4+4*(A*e^5+5*B*d*e^4)*a*b^3+6*B*e^5*a^2*b^2)*x^9+1/8*((10*A*d^2*e^3+10*B*d^3*e^2)*b^4+4*(5*A*d*e^4+10*B*d^2*e^3)*a*b^3+6*(A*e^5+5*B*d*e^4)*a^2*b^2+4*B*e^5*a^3*b)*x^8+1/7*((10*A*d^3*e^2+5*B*d^4*e)*b^4+4*(10*A*d^2*e^3+10*B*d^3*e^2)*a*b^3+6*(5*A*d*e^4+10*B*d^2*e^3)*a^2*b^2+4*(A*e^5+5*B*d*e^4)*a^3*b+B*e^5*a^4)*x^7+1/6*((5*A*d^4*e+B*d^5)*b^4+4*(10*A*d^3*e^2+5*B*d^4*e)*a*b^3+6*(10*A*d^2*e^3+10*B*d^3*e^2)*a^2*b^2+4*(5*A*d*e^4+10*B*d^2*e^3)*a^3*b+(A*e^5+5*B*d*e^4)*a^4)*x^6+1/5*(A*d^5*b^4+4*(5*A*d^4*e+B*d^5)*a*b^3+6*(10*A*d^3*e^2+5*B*d^4*e)*a^2*b^2+4*(10*A*d^2*e^3+10*B*d^3*e^2)*a^3*b+(5*A*d*e^4+10*B*d^2*e^3)*a^4)*x^5+1/4*(4*A*d^5*a*b^3+6*(5*A*d^4*e+B*d^5)*a^2*b^2+4*(10*A*d^3*e^2+5*B*d^4*e)*a^3*b+(10*A*d^2*e^3+10*B*d^3*e^2)*a^4)*x^4+1/3*(6*A*d^5*a^2*b^2+4*(5*A*d^4*e+B*d^5)*a^3*b+(10*A*d^3*e^2+5*B*d^4*e)*a^4)*x^3+1/2*(4*A*d^5*a^3*b+(5*A*d^4*e+B*d^5)*a^4)*x^2+A*d^5*a^4*x","B"
1676,1,563,192,0.046000," ","int((B*x+A)*(e*x+d)^4*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{B \,b^{4} e^{4} x^{10}}{10}+A \,a^{4} d^{4} x +\frac{\left(4 B a \,b^{3} e^{4}+\left(A \,e^{4}+4 B d \,e^{3}\right) b^{4}\right) x^{9}}{9}+\frac{\left(6 B \,a^{2} b^{2} e^{4}+4 \left(A \,e^{4}+4 B d \,e^{3}\right) a \,b^{3}+\left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) b^{4}\right) x^{8}}{8}+\frac{\left(4 B \,a^{3} b \,e^{4}+6 \left(A \,e^{4}+4 B d \,e^{3}\right) a^{2} b^{2}+4 \left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) a \,b^{3}+\left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) b^{4}\right) x^{7}}{7}+\frac{\left(B \,a^{4} e^{4}+4 \left(A \,e^{4}+4 B d \,e^{3}\right) a^{3} b +6 \left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) a^{2} b^{2}+4 \left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) a \,b^{3}+\left(4 A \,d^{3} e +B \,d^{4}\right) b^{4}\right) x^{6}}{6}+\frac{\left(A \,b^{4} d^{4}+\left(A \,e^{4}+4 B d \,e^{3}\right) a^{4}+4 \left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) a^{3} b +6 \left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) a^{2} b^{2}+4 \left(4 A \,d^{3} e +B \,d^{4}\right) a \,b^{3}\right) x^{5}}{5}+\frac{\left(4 A a \,b^{3} d^{4}+\left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) a^{4}+4 \left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) a^{3} b +6 \left(4 A \,d^{3} e +B \,d^{4}\right) a^{2} b^{2}\right) x^{4}}{4}+\frac{\left(6 A \,a^{2} b^{2} d^{4}+\left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) a^{4}+4 \left(4 A \,d^{3} e +B \,d^{4}\right) a^{3} b \right) x^{3}}{3}+\frac{\left(4 A \,a^{3} b \,d^{4}+\left(4 A \,d^{3} e +B \,d^{4}\right) a^{4}\right) x^{2}}{2}"," ",0,"1/10*B*e^4*b^4*x^10+1/9*((A*e^4+4*B*d*e^3)*b^4+4*B*e^4*a*b^3)*x^9+1/8*((4*A*d*e^3+6*B*d^2*e^2)*b^4+4*(A*e^4+4*B*d*e^3)*a*b^3+6*B*e^4*a^2*b^2)*x^8+1/7*((6*A*d^2*e^2+4*B*d^3*e)*b^4+4*(4*A*d*e^3+6*B*d^2*e^2)*a*b^3+6*(A*e^4+4*B*d*e^3)*a^2*b^2+4*B*e^4*a^3*b)*x^7+1/6*((4*A*d^3*e+B*d^4)*b^4+4*(6*A*d^2*e^2+4*B*d^3*e)*a*b^3+6*(4*A*d*e^3+6*B*d^2*e^2)*a^2*b^2+4*(A*e^4+4*B*d*e^3)*a^3*b+B*e^4*a^4)*x^6+1/5*(A*d^4*b^4+4*(4*A*d^3*e+B*d^4)*a*b^3+6*(6*A*d^2*e^2+4*B*d^3*e)*a^2*b^2+4*(4*A*d*e^3+6*B*d^2*e^2)*a^3*b+(A*e^4+4*B*d*e^3)*a^4)*x^5+1/4*(4*A*d^4*a*b^3+6*(4*A*d^3*e+B*d^4)*a^2*b^2+4*(6*A*d^2*e^2+4*B*d^3*e)*a^3*b+(4*A*d*e^3+6*B*d^2*e^2)*a^4)*x^4+1/3*(6*A*d^4*a^2*b^2+4*(4*A*d^3*e+B*d^4)*a^3*b+(6*A*d^2*e^2+4*B*d^3*e)*a^4)*x^3+1/2*(4*A*d^4*a^3*b+(4*A*d^3*e+B*d^4)*a^4)*x^2+A*d^4*a^4*x","B"
1677,1,434,149,0.043000," ","int((B*x+A)*(e*x+d)^3*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{B \,b^{4} e^{3} x^{9}}{9}+A \,a^{4} d^{3} x +\frac{\left(4 B a \,b^{3} e^{3}+\left(A \,e^{3}+3 B d \,e^{2}\right) b^{4}\right) x^{8}}{8}+\frac{\left(6 B \,a^{2} b^{2} e^{3}+4 \left(A \,e^{3}+3 B d \,e^{2}\right) a \,b^{3}+\left(3 A d \,e^{2}+3 B \,d^{2} e \right) b^{4}\right) x^{7}}{7}+\frac{\left(4 B \,a^{3} b \,e^{3}+6 \left(A \,e^{3}+3 B d \,e^{2}\right) a^{2} b^{2}+4 \left(3 A d \,e^{2}+3 B \,d^{2} e \right) a \,b^{3}+\left(3 A \,d^{2} e +B \,d^{3}\right) b^{4}\right) x^{6}}{6}+\frac{\left(A \,b^{4} d^{3}+B \,a^{4} e^{3}+4 \left(A \,e^{3}+3 B d \,e^{2}\right) a^{3} b +6 \left(3 A d \,e^{2}+3 B \,d^{2} e \right) a^{2} b^{2}+4 \left(3 A \,d^{2} e +B \,d^{3}\right) a \,b^{3}\right) x^{5}}{5}+\frac{\left(4 A a \,b^{3} d^{3}+\left(A \,e^{3}+3 B d \,e^{2}\right) a^{4}+4 \left(3 A d \,e^{2}+3 B \,d^{2} e \right) a^{3} b +6 \left(3 A \,d^{2} e +B \,d^{3}\right) a^{2} b^{2}\right) x^{4}}{4}+\frac{\left(6 A \,a^{2} b^{2} d^{3}+\left(3 A d \,e^{2}+3 B \,d^{2} e \right) a^{4}+4 \left(3 A \,d^{2} e +B \,d^{3}\right) a^{3} b \right) x^{3}}{3}+\frac{\left(4 A \,a^{3} b \,d^{3}+\left(3 A \,d^{2} e +B \,d^{3}\right) a^{4}\right) x^{2}}{2}"," ",0,"1/9*b^4*B*e^3*x^9+1/8*((A*e^3+3*B*d*e^2)*b^4+4*B*e^3*a*b^3)*x^8+1/7*((3*A*d*e^2+3*B*d^2*e)*b^4+4*(A*e^3+3*B*d*e^2)*a*b^3+6*B*e^3*a^2*b^2)*x^7+1/6*((3*A*d^2*e+B*d^3)*b^4+4*(3*A*d*e^2+3*B*d^2*e)*a*b^3+6*(A*e^3+3*B*d*e^2)*a^2*b^2+4*B*e^3*a^3*b)*x^6+1/5*(A*d^3*b^4+4*(3*A*d^2*e+B*d^3)*a*b^3+6*(3*A*d*e^2+3*B*d^2*e)*a^2*b^2+4*(A*e^3+3*B*d*e^2)*a^3*b+B*e^3*a^4)*x^5+1/4*(4*A*d^3*a*b^3+6*(3*A*d^2*e+B*d^3)*a^2*b^2+4*(3*A*d*e^2+3*B*d^2*e)*a^3*b+(A*e^3+3*B*d*e^2)*a^4)*x^4+1/3*(6*A*d^3*a^2*b^2+4*(3*A*d^2*e+B*d^3)*a^3*b+(3*A*d*e^2+3*B*d^2*e)*a^4)*x^3+1/2*(4*A*d^3*a^3*b+(3*A*d^2*e+B*d^3)*a^4)*x^2+A*d^3*a^4*x","B"
1678,1,305,110,0.050000," ","int((B*x+A)*(e*x+d)^2*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{B \,b^{4} e^{2} x^{8}}{8}+A \,a^{4} d^{2} x +\frac{\left(4 B a \,b^{3} e^{2}+\left(A \,e^{2}+2 B d e \right) b^{4}\right) x^{7}}{7}+\frac{\left(6 B \,a^{2} b^{2} e^{2}+4 \left(A \,e^{2}+2 B d e \right) a \,b^{3}+\left(2 A d e +B \,d^{2}\right) b^{4}\right) x^{6}}{6}+\frac{\left(A \,b^{4} d^{2}+4 B \,a^{3} b \,e^{2}+6 \left(A \,e^{2}+2 B d e \right) a^{2} b^{2}+4 \left(2 A d e +B \,d^{2}\right) a \,b^{3}\right) x^{5}}{5}+\frac{\left(4 A a \,b^{3} d^{2}+B \,a^{4} e^{2}+4 \left(A \,e^{2}+2 B d e \right) a^{3} b +6 \left(2 A d e +B \,d^{2}\right) a^{2} b^{2}\right) x^{4}}{4}+\frac{\left(6 A \,a^{2} b^{2} d^{2}+\left(A \,e^{2}+2 B d e \right) a^{4}+4 \left(2 A d e +B \,d^{2}\right) a^{3} b \right) x^{3}}{3}+\frac{\left(4 A \,a^{3} b \,d^{2}+\left(2 A d e +B \,d^{2}\right) a^{4}\right) x^{2}}{2}"," ",0,"1/8*B*e^2*b^4*x^8+1/7*((A*e^2+2*B*d*e)*b^4+4*B*e^2*a*b^3)*x^7+1/6*((2*A*d*e+B*d^2)*b^4+4*(A*e^2+2*B*d*e)*a*b^3+6*B*e^2*a^2*b^2)*x^6+1/5*(A*d^2*b^4+4*(2*A*d*e+B*d^2)*a*b^3+6*(A*e^2+2*B*d*e)*a^2*b^2+4*B*e^2*a^3*b)*x^5+1/4*(4*A*d^2*a*b^3+6*(2*A*d*e+B*d^2)*a^2*b^2+4*(A*e^2+2*B*d*e)*a^3*b+B*e^2*a^4)*x^4+1/3*(6*A*d^2*a^2*b^2+4*(2*A*d*e+B*d^2)*a^3*b+(A*e^2+2*B*d*e)*a^4)*x^3+1/2*(4*A*d^2*a^3*b+(2*A*d*e+B*d^2)*a^4)*x^2+A*d^2*a^4*x","B"
1679,1,176,69,0.041000," ","int((B*x+A)*(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{B \,b^{4} e \,x^{7}}{7}+A \,a^{4} d x +\frac{\left(4 B a \,b^{3} e +\left(A e +B d \right) b^{4}\right) x^{6}}{6}+\frac{\left(A \,b^{4} d +6 B \,a^{2} b^{2} e +4 \left(A e +B d \right) a \,b^{3}\right) x^{5}}{5}+\frac{\left(4 A a \,b^{3} d +4 B \,a^{3} b e +6 \left(A e +B d \right) a^{2} b^{2}\right) x^{4}}{4}+\frac{\left(6 A \,a^{2} b^{2} d +B \,a^{4} e +4 \left(A e +B d \right) a^{3} b \right) x^{3}}{3}+\frac{\left(4 A \,a^{3} b d +\left(A e +B d \right) a^{4}\right) x^{2}}{2}"," ",0,"1/7*B*e*b^4*x^7+1/6*((A*e+B*d)*b^4+4*B*e*a*b^3)*x^6+1/5*(A*d*b^4+4*(A*e+B*d)*a*b^3+6*B*e*a^2*b^2)*x^5+1/4*(4*A*d*a*b^3+6*(A*e+B*d)*a^2*b^2+4*B*e*a^3*b)*x^4+1/3*(6*A*d*a^2*b^2+4*(A*e+B*d)*a^3*b+B*e*a^4)*x^3+1/2*(4*A*d*a^3*b+(A*e+B*d)*a^4)*x^2+A*d*a^4*x","B"
1680,1,97,34,0.047000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{B \,b^{4} x^{6}}{6}+A \,a^{4} x +\frac{\left(A \,b^{4}+4 B a \,b^{3}\right) x^{5}}{5}+\frac{\left(4 A a \,b^{3}+6 b^{2} B \,a^{2}\right) x^{4}}{4}+\frac{\left(6 A \,b^{2} a^{2}+4 a^{3} b B \right) x^{3}}{3}+\frac{\left(4 A \,a^{3} b +B \,a^{4}\right) x^{2}}{2}"," ",0,"1/6*b^4*B*x^6+1/5*(A*b^4+4*B*a*b^3)*x^5+1/4*(4*A*a*b^3+6*B*a^2*b^2)*x^4+1/3*(6*A*a^2*b^2+4*B*a^3*b)*x^3+1/2*(4*A*a^3*b+B*a^4)*x^2+A*a^4*x","B"
1681,1,521,148,0.049000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d),x)","\frac{B \,b^{4} x^{5}}{5 e}+\frac{A \,b^{4} x^{4}}{4 e}+\frac{B a \,b^{3} x^{4}}{e}-\frac{B \,b^{4} d \,x^{4}}{4 e^{2}}+\frac{4 A a \,b^{3} x^{3}}{3 e}-\frac{A \,b^{4} d \,x^{3}}{3 e^{2}}+\frac{2 B \,a^{2} b^{2} x^{3}}{e}-\frac{4 B a \,b^{3} d \,x^{3}}{3 e^{2}}+\frac{B \,b^{4} d^{2} x^{3}}{3 e^{3}}+\frac{3 A \,a^{2} b^{2} x^{2}}{e}-\frac{2 A a \,b^{3} d \,x^{2}}{e^{2}}+\frac{A \,b^{4} d^{2} x^{2}}{2 e^{3}}+\frac{2 B \,a^{3} b \,x^{2}}{e}-\frac{3 B \,a^{2} b^{2} d \,x^{2}}{e^{2}}+\frac{2 B a \,b^{3} d^{2} x^{2}}{e^{3}}-\frac{B \,b^{4} d^{3} x^{2}}{2 e^{4}}+\frac{A \,a^{4} \ln \left(e x +d \right)}{e}-\frac{4 A \,a^{3} b d \ln \left(e x +d \right)}{e^{2}}+\frac{4 A \,a^{3} b x}{e}+\frac{6 A \,a^{2} b^{2} d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{6 A \,a^{2} b^{2} d x}{e^{2}}-\frac{4 A a \,b^{3} d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{4 A a \,b^{3} d^{2} x}{e^{3}}+\frac{A \,b^{4} d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{A \,b^{4} d^{3} x}{e^{4}}-\frac{B \,a^{4} d \ln \left(e x +d \right)}{e^{2}}+\frac{B \,a^{4} x}{e}+\frac{4 B \,a^{3} b \,d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{4 B \,a^{3} b d x}{e^{2}}-\frac{6 B \,a^{2} b^{2} d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{6 B \,a^{2} b^{2} d^{2} x}{e^{3}}+\frac{4 B a \,b^{3} d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{4 B a \,b^{3} d^{3} x}{e^{4}}-\frac{B \,b^{4} d^{5} \ln \left(e x +d \right)}{e^{6}}+\frac{B \,b^{4} d^{4} x}{e^{5}}"," ",0,"1/2/e^3*A*x^2*b^4*d^2+2/e*B*x^2*a^3*b-4/3/e^2*B*x^3*a*b^3*d+4/e^3*A*x*a*b^3*d^2-4/e^2*B*x*a^3*b*d-4/e^4*B*x*a*b^3*d^3-6/e^2*A*x*a^2*b^2*d-3/e^2*B*x^2*a^2*b^2*d+2/e^3*B*x^2*a*b^3*d^2-2/e^2*A*x^2*a*b^3*d-4/e^2*ln(e*x+d)*A*a^3*b*d+6/e^3*B*x*a^2*b^2*d^2-6/e^4*ln(e*x+d)*B*a^2*b^2*d^3+6/e^3*ln(e*x+d)*A*a^2*b^2*d^2+4/e^5*ln(e*x+d)*B*a*b^3*d^4-4/e^4*ln(e*x+d)*A*a*b^3*d^3+4/e^3*ln(e*x+d)*B*a^3*b*d^2+1/5/e*b^4*B*x^5+1/4/e*A*x^4*b^4+1/e*B*x*a^4+1/e*ln(e*x+d)*A*a^4+1/e^5*ln(e*x+d)*A*b^4*d^4+2/e*B*x^3*a^2*b^2+4/e*A*x*a^3*b-1/e^2*ln(e*x+d)*B*a^4*d-1/e^6*ln(e*x+d)*B*b^4*d^5-1/2/e^4*B*x^2*b^4*d^3+4/3/e*A*x^3*a*b^3-1/4/e^2*B*x^4*b^4*d+1/e*B*x^4*a*b^3-1/e^4*A*x*b^4*d^3+1/e^5*B*x*b^4*d^4+1/3/e^3*B*x^3*b^4*d^2+3/e*A*x^2*a^2*b^2-1/3/e^2*A*x^3*b^4*d","B"
1682,1,564,184,0.058000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^2,x)","\frac{B \,b^{4} x^{4}}{4 e^{2}}+\frac{A \,b^{4} x^{3}}{3 e^{2}}+\frac{4 B a \,b^{3} x^{3}}{3 e^{2}}-\frac{2 B \,b^{4} d \,x^{3}}{3 e^{3}}+\frac{2 A a \,b^{3} x^{2}}{e^{2}}-\frac{A \,b^{4} d \,x^{2}}{e^{3}}+\frac{3 B \,a^{2} b^{2} x^{2}}{e^{2}}-\frac{4 B a \,b^{3} d \,x^{2}}{e^{3}}+\frac{3 B \,b^{4} d^{2} x^{2}}{2 e^{4}}-\frac{A \,a^{4}}{\left(e x +d \right) e}+\frac{4 A \,a^{3} b d}{\left(e x +d \right) e^{2}}+\frac{4 A \,a^{3} b \ln \left(e x +d \right)}{e^{2}}-\frac{6 A \,a^{2} b^{2} d^{2}}{\left(e x +d \right) e^{3}}-\frac{12 A \,a^{2} b^{2} d \ln \left(e x +d \right)}{e^{3}}+\frac{6 A \,a^{2} b^{2} x}{e^{2}}+\frac{4 A a \,b^{3} d^{3}}{\left(e x +d \right) e^{4}}+\frac{12 A a \,b^{3} d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{8 A a \,b^{3} d x}{e^{3}}-\frac{A \,b^{4} d^{4}}{\left(e x +d \right) e^{5}}-\frac{4 A \,b^{4} d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{3 A \,b^{4} d^{2} x}{e^{4}}+\frac{B \,a^{4} d}{\left(e x +d \right) e^{2}}+\frac{B \,a^{4} \ln \left(e x +d \right)}{e^{2}}-\frac{4 B \,a^{3} b \,d^{2}}{\left(e x +d \right) e^{3}}-\frac{8 B \,a^{3} b d \ln \left(e x +d \right)}{e^{3}}+\frac{4 B \,a^{3} b x}{e^{2}}+\frac{6 B \,a^{2} b^{2} d^{3}}{\left(e x +d \right) e^{4}}+\frac{18 B \,a^{2} b^{2} d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{12 B \,a^{2} b^{2} d x}{e^{3}}-\frac{4 B a \,b^{3} d^{4}}{\left(e x +d \right) e^{5}}-\frac{16 B a \,b^{3} d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{12 B a \,b^{3} d^{2} x}{e^{4}}+\frac{B \,b^{4} d^{5}}{\left(e x +d \right) e^{6}}+\frac{5 B \,b^{4} d^{4} \ln \left(e x +d \right)}{e^{6}}-\frac{4 B \,b^{4} d^{3} x}{e^{5}}"," ",0,"-1/e/(e*x+d)*A*a^4+1/4*b^4/e^2*B*x^4+1/3*b^4/e^2*A*x^3+1/e^2*ln(e*x+d)*B*a^4-4*b^3/e^3*B*x^2*a*d+18/e^4*ln(e*x+d)*B*a^2*b^2*d^2-16/e^5*ln(e*x+d)*B*a*b^3*d^3+4/e^2/(e*x+d)*A*d*a^3*b-6/e^3/(e*x+d)*A*a^2*b^2*d^2+4/e^4/(e*x+d)*A*a*b^3*d^3-8/e^3*ln(e*x+d)*B*a^3*b*d-4/e^3/(e*x+d)*B*a^3*b*d^2+6/e^4/(e*x+d)*B*a^2*b^2*d^3-4/e^5/(e*x+d)*B*a*b^3*d^4-12/e^3*ln(e*x+d)*A*a^2*b^2*d+12/e^4*ln(e*x+d)*A*a*b^3*d^2+2*b^3/e^2*A*x^2*a-b^4/e^3*A*x^2*d+1/e^6/(e*x+d)*B*b^4*d^5+4/3*b^3/e^2*B*x^3*a-2/3*b^4/e^3*B*x^3*d+4/e^2*ln(e*x+d)*A*a^3*b-4/e^5*ln(e*x+d)*A*b^4*d^3+5/e^6*ln(e*x+d)*B*b^4*d^4-8*b^3/e^3*A*a*d*x-12*b^2/e^3*B*a^2*d*x+12*b^3/e^4*B*a*d^2*x+6*b^2/e^2*A*a^2*x+3*b^4/e^4*A*d^2*x+4*b/e^2*B*a^3*x-4*b^4/e^5*B*d^3*x-1/e^5/(e*x+d)*A*b^4*d^4+1/e^2/(e*x+d)*B*d*a^4+3*b^2/e^2*B*x^2*a^2+3/2*b^4/e^4*B*x^2*d^2","B"
1683,1,601,187,0.057000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^3,x)","\frac{B \,b^{4} x^{3}}{3 e^{3}}-\frac{A \,a^{4}}{2 \left(e x +d \right)^{2} e}+\frac{2 A \,a^{3} b d}{\left(e x +d \right)^{2} e^{2}}-\frac{3 A \,a^{2} b^{2} d^{2}}{\left(e x +d \right)^{2} e^{3}}+\frac{2 A a \,b^{3} d^{3}}{\left(e x +d \right)^{2} e^{4}}-\frac{A \,b^{4} d^{4}}{2 \left(e x +d \right)^{2} e^{5}}+\frac{A \,b^{4} x^{2}}{2 e^{3}}+\frac{B \,a^{4} d}{2 \left(e x +d \right)^{2} e^{2}}-\frac{2 B \,a^{3} b \,d^{2}}{\left(e x +d \right)^{2} e^{3}}+\frac{3 B \,a^{2} b^{2} d^{3}}{\left(e x +d \right)^{2} e^{4}}-\frac{2 B a \,b^{3} d^{4}}{\left(e x +d \right)^{2} e^{5}}+\frac{2 B a \,b^{3} x^{2}}{e^{3}}+\frac{B \,b^{4} d^{5}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{3 B \,b^{4} d \,x^{2}}{2 e^{4}}-\frac{4 A \,a^{3} b}{\left(e x +d \right) e^{2}}+\frac{12 A \,a^{2} b^{2} d}{\left(e x +d \right) e^{3}}+\frac{6 A \,a^{2} b^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{12 A a \,b^{3} d^{2}}{\left(e x +d \right) e^{4}}-\frac{12 A a \,b^{3} d \ln \left(e x +d \right)}{e^{4}}+\frac{4 A a \,b^{3} x}{e^{3}}+\frac{4 A \,b^{4} d^{3}}{\left(e x +d \right) e^{5}}+\frac{6 A \,b^{4} d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{3 A \,b^{4} d x}{e^{4}}-\frac{B \,a^{4}}{\left(e x +d \right) e^{2}}+\frac{8 B \,a^{3} b d}{\left(e x +d \right) e^{3}}+\frac{4 B \,a^{3} b \ln \left(e x +d \right)}{e^{3}}-\frac{18 B \,a^{2} b^{2} d^{2}}{\left(e x +d \right) e^{4}}-\frac{18 B \,a^{2} b^{2} d \ln \left(e x +d \right)}{e^{4}}+\frac{6 B \,a^{2} b^{2} x}{e^{3}}+\frac{16 B a \,b^{3} d^{3}}{\left(e x +d \right) e^{5}}+\frac{24 B a \,b^{3} d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{12 B a \,b^{3} d x}{e^{4}}-\frac{5 B \,b^{4} d^{4}}{\left(e x +d \right) e^{6}}-\frac{10 B \,b^{4} d^{3} \ln \left(e x +d \right)}{e^{6}}+\frac{6 B \,b^{4} d^{2} x}{e^{5}}"," ",0,"1/3*b^4/e^3*B*x^3+1/2*b^4/e^3*A*x^2-1/e^2/(e*x+d)*B*a^4-1/2/e/(e*x+d)^2*A*a^4-5/e^6/(e*x+d)*B*b^4*d^4-4/e^2/(e*x+d)*A*a^3*b+6*b^2/e^3*ln(e*x+d)*A*a^2-12*b^3/e^4*B*x*a*d-3/e^3/(e*x+d)^2*A*d^2*a^2*b^2+2/e^4/(e*x+d)^2*A*a*b^3*d^3-2/e^3/(e*x+d)^2*B*d^2*a^3*b+3/e^4/(e*x+d)^2*B*a^2*b^2*d^3-2/e^5/(e*x+d)^2*B*a*b^3*d^4+24*b^3/e^5*ln(e*x+d)*B*a*d^2+12/e^3/(e*x+d)*A*a^2*b^2*d-12/e^4/(e*x+d)*A*a*b^3*d^2+8/e^3/(e*x+d)*B*a^3*b*d-18/e^4/(e*x+d)*B*a^2*b^2*d^2+16/e^5/(e*x+d)*B*a*b^3*d^3+2/e^2/(e*x+d)^2*A*d*a^3*b-12*b^3/e^4*ln(e*x+d)*A*a*d-18*b^2/e^4*ln(e*x+d)*B*a^2*d+1/2/e^6/(e*x+d)^2*B*b^4*d^5+4/e^5/(e*x+d)*A*b^4*d^3+6*b^4/e^5*ln(e*x+d)*A*d^2+4*b/e^3*ln(e*x+d)*B*a^3-10*b^4/e^6*ln(e*x+d)*B*d^3+4*b^3/e^3*A*x*a-3*b^4/e^4*A*x*d+6*b^2/e^3*B*x*a^2+6*b^4/e^5*B*x*d^2+2*b^3/e^3*B*x^2*a-3/2*b^4/e^4*B*x^2*d-1/2/e^5/(e*x+d)^2*A*b^4*d^4+1/2/e^2/(e*x+d)^2*B*d*a^4","B"
1684,1,626,183,0.059000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^4,x)","-\frac{A \,a^{4}}{3 \left(e x +d \right)^{3} e}+\frac{4 A \,a^{3} b d}{3 \left(e x +d \right)^{3} e^{2}}-\frac{2 A \,a^{2} b^{2} d^{2}}{\left(e x +d \right)^{3} e^{3}}+\frac{4 A a \,b^{3} d^{3}}{3 \left(e x +d \right)^{3} e^{4}}-\frac{A \,b^{4} d^{4}}{3 \left(e x +d \right)^{3} e^{5}}+\frac{B \,a^{4} d}{3 \left(e x +d \right)^{3} e^{2}}-\frac{4 B \,a^{3} b \,d^{2}}{3 \left(e x +d \right)^{3} e^{3}}+\frac{2 B \,a^{2} b^{2} d^{3}}{\left(e x +d \right)^{3} e^{4}}-\frac{4 B a \,b^{3} d^{4}}{3 \left(e x +d \right)^{3} e^{5}}+\frac{B \,b^{4} d^{5}}{3 \left(e x +d \right)^{3} e^{6}}-\frac{2 A \,a^{3} b}{\left(e x +d \right)^{2} e^{2}}+\frac{6 A \,a^{2} b^{2} d}{\left(e x +d \right)^{2} e^{3}}-\frac{6 A a \,b^{3} d^{2}}{\left(e x +d \right)^{2} e^{4}}+\frac{2 A \,b^{4} d^{3}}{\left(e x +d \right)^{2} e^{5}}-\frac{B \,a^{4}}{2 \left(e x +d \right)^{2} e^{2}}+\frac{4 B \,a^{3} b d}{\left(e x +d \right)^{2} e^{3}}-\frac{9 B \,a^{2} b^{2} d^{2}}{\left(e x +d \right)^{2} e^{4}}+\frac{8 B a \,b^{3} d^{3}}{\left(e x +d \right)^{2} e^{5}}-\frac{5 B \,b^{4} d^{4}}{2 \left(e x +d \right)^{2} e^{6}}+\frac{B \,b^{4} x^{2}}{2 e^{4}}-\frac{6 A \,a^{2} b^{2}}{\left(e x +d \right) e^{3}}+\frac{12 A a \,b^{3} d}{\left(e x +d \right) e^{4}}+\frac{4 A a \,b^{3} \ln \left(e x +d \right)}{e^{4}}-\frac{6 A \,b^{4} d^{2}}{\left(e x +d \right) e^{5}}-\frac{4 A \,b^{4} d \ln \left(e x +d \right)}{e^{5}}+\frac{A \,b^{4} x}{e^{4}}-\frac{4 B \,a^{3} b}{\left(e x +d \right) e^{3}}+\frac{18 B \,a^{2} b^{2} d}{\left(e x +d \right) e^{4}}+\frac{6 B \,a^{2} b^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{24 B a \,b^{3} d^{2}}{\left(e x +d \right) e^{5}}-\frac{16 B a \,b^{3} d \ln \left(e x +d \right)}{e^{5}}+\frac{4 B a \,b^{3} x}{e^{4}}+\frac{10 B \,b^{4} d^{3}}{\left(e x +d \right) e^{6}}+\frac{10 B \,b^{4} d^{2} \ln \left(e x +d \right)}{e^{6}}-\frac{4 B \,b^{4} d x}{e^{5}}"," ",0,"-6/e^4/(e*x+d)^2*A*a*b^3*d^2+4/e^3/(e*x+d)^2*B*a^3*b*d-9/e^4/(e*x+d)^2*B*a^2*b^2*d^2+6/e^3/(e*x+d)^2*A*a^2*b^2*d-16*b^3/e^5*ln(e*x+d)*B*d*a+b^4/e^4*A*x-1/3/e/(e*x+d)^3*A*a^4-1/2/e^2/(e*x+d)^2*B*a^4+2/e^4/(e*x+d)^3*B*d^3*a^2*b^2-2/e^3/(e*x+d)^3*A*d^2*a^2*b^2+6*b^2/e^4*ln(e*x+d)*B*a^2+4/3/e^4/(e*x+d)^3*A*d^3*a*b^3-24*b^3/e^5/(e*x+d)*B*a*d^2+4/3/e^2/(e*x+d)^3*A*d*a^3*b+12*b^3/e^4/(e*x+d)*A*a*d+18*b^2/e^4/(e*x+d)*B*a^2*d+8/e^5/(e*x+d)^2*B*a*b^3*d^3+1/3/e^6/(e*x+d)^3*B*b^4*d^5-6*b^2/e^3/(e*x+d)*A*a^2-6*b^4/e^5/(e*x+d)*A*d^2-4*b/e^3/(e*x+d)*B*a^3+10*b^4/e^6/(e*x+d)*B*d^3-1/3/e^5/(e*x+d)^3*A*b^4*d^4+1/3/e^2/(e*x+d)^3*B*d*a^4-2/e^2/(e*x+d)^2*A*a^3*b+2/e^5/(e*x+d)^2*A*b^4*d^3-5/2/e^6/(e*x+d)^2*B*b^4*d^4-4*b^4/e^5*B*d*x+10*b^4/e^6*ln(e*x+d)*B*d^2-4/3/e^5/(e*x+d)^3*B*a*b^3*d^4-4/3/e^3/(e*x+d)^3*B*d^2*a^3*b-4*b^4/e^5*ln(e*x+d)*A*d+4*b^3/e^4*a*B*x+4*b^3/e^4*ln(e*x+d)*A*a+1/2*b^4*B*x^2/e^4","B"
1685,1,641,185,0.055000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^5,x)","-\frac{A \,a^{4}}{4 \left(e x +d \right)^{4} e}+\frac{A \,a^{3} b d}{\left(e x +d \right)^{4} e^{2}}-\frac{3 A \,a^{2} b^{2} d^{2}}{2 \left(e x +d \right)^{4} e^{3}}+\frac{A a \,b^{3} d^{3}}{\left(e x +d \right)^{4} e^{4}}-\frac{A \,b^{4} d^{4}}{4 \left(e x +d \right)^{4} e^{5}}+\frac{B \,a^{4} d}{4 \left(e x +d \right)^{4} e^{2}}-\frac{B \,a^{3} b \,d^{2}}{\left(e x +d \right)^{4} e^{3}}+\frac{3 B \,a^{2} b^{2} d^{3}}{2 \left(e x +d \right)^{4} e^{4}}-\frac{B a \,b^{3} d^{4}}{\left(e x +d \right)^{4} e^{5}}+\frac{B \,b^{4} d^{5}}{4 \left(e x +d \right)^{4} e^{6}}-\frac{4 A \,a^{3} b}{3 \left(e x +d \right)^{3} e^{2}}+\frac{4 A \,a^{2} b^{2} d}{\left(e x +d \right)^{3} e^{3}}-\frac{4 A a \,b^{3} d^{2}}{\left(e x +d \right)^{3} e^{4}}+\frac{4 A \,b^{4} d^{3}}{3 \left(e x +d \right)^{3} e^{5}}-\frac{B \,a^{4}}{3 \left(e x +d \right)^{3} e^{2}}+\frac{8 B \,a^{3} b d}{3 \left(e x +d \right)^{3} e^{3}}-\frac{6 B \,a^{2} b^{2} d^{2}}{\left(e x +d \right)^{3} e^{4}}+\frac{16 B a \,b^{3} d^{3}}{3 \left(e x +d \right)^{3} e^{5}}-\frac{5 B \,b^{4} d^{4}}{3 \left(e x +d \right)^{3} e^{6}}-\frac{3 A \,a^{2} b^{2}}{\left(e x +d \right)^{2} e^{3}}+\frac{6 A a \,b^{3} d}{\left(e x +d \right)^{2} e^{4}}-\frac{3 A \,b^{4} d^{2}}{\left(e x +d \right)^{2} e^{5}}-\frac{2 B \,a^{3} b}{\left(e x +d \right)^{2} e^{3}}+\frac{9 B \,a^{2} b^{2} d}{\left(e x +d \right)^{2} e^{4}}-\frac{12 B a \,b^{3} d^{2}}{\left(e x +d \right)^{2} e^{5}}+\frac{5 B \,b^{4} d^{3}}{\left(e x +d \right)^{2} e^{6}}-\frac{4 A a \,b^{3}}{\left(e x +d \right) e^{4}}+\frac{4 A \,b^{4} d}{\left(e x +d \right) e^{5}}+\frac{A \,b^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{6 B \,a^{2} b^{2}}{\left(e x +d \right) e^{4}}+\frac{16 B a \,b^{3} d}{\left(e x +d \right) e^{5}}+\frac{4 B a \,b^{3} \ln \left(e x +d \right)}{e^{5}}-\frac{10 B \,b^{4} d^{2}}{\left(e x +d \right) e^{6}}-\frac{5 B \,b^{4} d \ln \left(e x +d \right)}{e^{6}}+\frac{B \,b^{4} x}{e^{5}}"," ",0,"8/3/e^3/(e*x+d)^3*B*a^3*b*d+9*b^2/e^4/(e*x+d)^2*B*a^2*d+6*b^3/e^4/(e*x+d)^2*A*a*d-12*b^3/e^5/(e*x+d)^2*B*a*d^2+4*b^3/e^5*ln(e*x+d)*a*B-5*b^4/e^6*ln(e*x+d)*B*d-3*b^2/e^3/(e*x+d)^2*A*a^2-3/2/e^3/(e*x+d)^4*A*d^2*a^2*b^2+1/e^4/(e*x+d)^4*A*d^3*a*b^3-1/e^3/(e*x+d)^4*B*d^2*a^3*b+16*b^3/e^5/(e*x+d)*B*d*a+1/e^2/(e*x+d)^4*A*d*a^3*b-1/4/e/(e*x+d)^4*A*a^4+b^4/e^5*ln(e*x+d)*A-1/3/e^2/(e*x+d)^3*B*a^4+16/3/e^5/(e*x+d)^3*B*a*b^3*d^3+4/e^3/(e*x+d)^3*A*a^2*b^2*d-4/e^4/(e*x+d)^3*A*a*b^3*d^2+3/2/e^4/(e*x+d)^4*B*d^3*a^2*b^2-1/e^5/(e*x+d)^4*B*d^4*a*b^3+5*b^4/e^6/(e*x+d)^2*B*d^3-6/e^4/(e*x+d)^3*B*a^2*b^2*d^2-5/3/e^6/(e*x+d)^3*B*b^4*d^4-3*b^4/e^5/(e*x+d)^2*A*d^2-2*b/e^3/(e*x+d)^2*B*a^3-1/4/e^5/(e*x+d)^4*A*d^4*b^4+1/4/e^2/(e*x+d)^4*B*d*a^4+1/4/e^6/(e*x+d)^4*B*b^4*d^5-4/3/e^2/(e*x+d)^3*A*a^3*b+4/3/e^5/(e*x+d)^3*A*b^4*d^3-6*b^2/e^4/(e*x+d)*B*a^2-4*b^3/e^4/(e*x+d)*A*a+4*b^4/e^5/(e*x+d)*A*d-10*b^4/e^6/(e*x+d)*B*d^2+b^4*B*x/e^5","B"
1686,1,651,149,0.059000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^6,x)","-\frac{A \,a^{4}}{5 \left(e x +d \right)^{5} e}+\frac{4 A \,a^{3} b d}{5 \left(e x +d \right)^{5} e^{2}}-\frac{6 A \,a^{2} b^{2} d^{2}}{5 \left(e x +d \right)^{5} e^{3}}+\frac{4 A a \,b^{3} d^{3}}{5 \left(e x +d \right)^{5} e^{4}}-\frac{A \,b^{4} d^{4}}{5 \left(e x +d \right)^{5} e^{5}}+\frac{B \,a^{4} d}{5 \left(e x +d \right)^{5} e^{2}}-\frac{4 B \,a^{3} b \,d^{2}}{5 \left(e x +d \right)^{5} e^{3}}+\frac{6 B \,a^{2} b^{2} d^{3}}{5 \left(e x +d \right)^{5} e^{4}}-\frac{4 B a \,b^{3} d^{4}}{5 \left(e x +d \right)^{5} e^{5}}+\frac{B \,b^{4} d^{5}}{5 \left(e x +d \right)^{5} e^{6}}-\frac{A \,a^{3} b}{\left(e x +d \right)^{4} e^{2}}+\frac{3 A \,a^{2} b^{2} d}{\left(e x +d \right)^{4} e^{3}}-\frac{3 A a \,b^{3} d^{2}}{\left(e x +d \right)^{4} e^{4}}+\frac{A \,b^{4} d^{3}}{\left(e x +d \right)^{4} e^{5}}-\frac{B \,a^{4}}{4 \left(e x +d \right)^{4} e^{2}}+\frac{2 B \,a^{3} b d}{\left(e x +d \right)^{4} e^{3}}-\frac{9 B \,a^{2} b^{2} d^{2}}{2 \left(e x +d \right)^{4} e^{4}}+\frac{4 B a \,b^{3} d^{3}}{\left(e x +d \right)^{4} e^{5}}-\frac{5 B \,b^{4} d^{4}}{4 \left(e x +d \right)^{4} e^{6}}-\frac{2 A \,a^{2} b^{2}}{\left(e x +d \right)^{3} e^{3}}+\frac{4 A a \,b^{3} d}{\left(e x +d \right)^{3} e^{4}}-\frac{2 A \,b^{4} d^{2}}{\left(e x +d \right)^{3} e^{5}}-\frac{4 B \,a^{3} b}{3 \left(e x +d \right)^{3} e^{3}}+\frac{6 B \,a^{2} b^{2} d}{\left(e x +d \right)^{3} e^{4}}-\frac{8 B a \,b^{3} d^{2}}{\left(e x +d \right)^{3} e^{5}}+\frac{10 B \,b^{4} d^{3}}{3 \left(e x +d \right)^{3} e^{6}}-\frac{2 A a \,b^{3}}{\left(e x +d \right)^{2} e^{4}}+\frac{2 A \,b^{4} d}{\left(e x +d \right)^{2} e^{5}}-\frac{3 B \,a^{2} b^{2}}{\left(e x +d \right)^{2} e^{4}}+\frac{8 B a \,b^{3} d}{\left(e x +d \right)^{2} e^{5}}-\frac{5 B \,b^{4} d^{2}}{\left(e x +d \right)^{2} e^{6}}-\frac{A \,b^{4}}{\left(e x +d \right) e^{5}}-\frac{4 B a \,b^{3}}{\left(e x +d \right) e^{5}}+\frac{5 B \,b^{4} d}{\left(e x +d \right) e^{6}}+\frac{B \,b^{4} \ln \left(e x +d \right)}{e^{6}}"," ",0,"10/3*b^4/e^6/(e*x+d)^3*B*d^3+1/e^5/(e*x+d)^4*A*b^4*d^3-5/4/e^6/(e*x+d)^4*B*d^4*b^4-1/5/e^5/(e*x+d)^5*A*b^4*d^4+1/5/e^2/(e*x+d)^5*B*d*a^4+1/5/e^6/(e*x+d)^5*B*b^4*d^5-b^4/e^5/(e*x+d)*A-1/4/e^2/(e*x+d)^4*B*a^4-1/5/e/(e*x+d)^5*A*a^4-6/5/e^3/(e*x+d)^5*A*a^2*b^2*d^2+4/e^5/(e*x+d)^4*B*d^3*a*b^3+4*b^3/e^4/(e*x+d)^3*A*a*d+6*b^2/e^4/(e*x+d)^3*B*a^2*d-8*b^3/e^5/(e*x+d)^3*B*a*d^2+8*b^3/e^5/(e*x+d)^2*B*d*a-2*b^3/e^4/(e*x+d)^2*A*a+2*b^4/e^5/(e*x+d)^2*A*d-9/2/e^4/(e*x+d)^4*B*d^2*a^2*b^2+2/e^3/(e*x+d)^4*B*d*a^3*b+3/e^3/(e*x+d)^4*A*a^2*b^2*d-3/e^4/(e*x+d)^4*A*d^2*a*b^3+4/5/e^4/(e*x+d)^5*A*a*b^3*d^3-4/5/e^3/(e*x+d)^5*B*d^2*a^3*b+6/5/e^4/(e*x+d)^5*B*d^3*a^2*b^2-4/5/e^5/(e*x+d)^5*B*d^4*a*b^3+4/5/e^2/(e*x+d)^5*A*a^3*b*d-4*b^3/e^5/(e*x+d)*a*B-2*b^2/e^3/(e*x+d)^3*A*a^2-2*b^4/e^5/(e*x+d)^3*A*d^2-4/3*b/e^3/(e*x+d)^3*B*a^3-3*b^2/e^4/(e*x+d)^2*B*a^2-5*b^4/e^6/(e*x+d)^2*B*d^2+5*b^4/e^6/(e*x+d)*B*d-1/e^2/(e*x+d)^4*A*a^3*b+b^4*B*ln(e*x+d)/e^6","B"
1687,1,430,82,0.057000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^7,x)","-\frac{B \,b^{4}}{\left(e x +d \right) e^{6}}-\frac{\left(A b e +4 a B e -5 B b d \right) b^{3}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{2 \left(2 A a b \,e^{2}-2 A \,b^{2} d e +3 B \,a^{2} e^{2}-8 B d a b e +5 B \,b^{2} d^{2}\right) b^{2}}{3 \left(e x +d \right)^{3} e^{6}}-\frac{\left(3 A \,a^{2} b \,e^{3}-6 A a \,b^{2} d \,e^{2}+3 A \,b^{3} d^{2} e +2 B \,a^{3} e^{3}-9 B \,a^{2} b d \,e^{2}+12 B a \,b^{2} d^{2} e -5 B \,b^{3} d^{3}\right) b}{2 \left(e x +d \right)^{4} e^{6}}-\frac{4 A \,a^{3} b \,e^{4}-12 A \,a^{2} b^{2} d \,e^{3}+12 A \,d^{2} a \,b^{3} e^{2}-4 A \,b^{4} d^{3} e +B \,a^{4} e^{4}-8 B d \,a^{3} b \,e^{3}+18 B \,d^{2} a^{2} b^{2} e^{2}-16 B \,d^{3} a \,b^{3} e +5 b^{4} B \,d^{4}}{5 \left(e x +d \right)^{5} e^{6}}-\frac{A \,a^{4} e^{5}-4 A \,a^{3} b d \,e^{4}+6 A \,a^{2} b^{2} d^{2} e^{3}-4 A a \,b^{3} d^{3} e^{2}+A \,b^{4} d^{4} e -B d \,a^{4} e^{4}+4 B \,d^{2} a^{3} b \,e^{3}-6 B \,d^{3} a^{2} b^{2} e^{2}+4 B \,d^{4} a \,b^{3} e -b^{4} B \,d^{5}}{6 \left(e x +d \right)^{6} e^{6}}"," ",0,"-1/5*(4*A*a^3*b*e^4-12*A*a^2*b^2*d*e^3+12*A*a*b^3*d^2*e^2-4*A*b^4*d^3*e+B*a^4*e^4-8*B*a^3*b*d*e^3+18*B*a^2*b^2*d^2*e^2-16*B*a*b^3*d^3*e+5*B*b^4*d^4)/e^6/(e*x+d)^5-b^4*B/e^6/(e*x+d)-1/2*b*(3*A*a^2*b*e^3-6*A*a*b^2*d*e^2+3*A*b^3*d^2*e+2*B*a^3*e^3-9*B*a^2*b*d*e^2+12*B*a*b^2*d^2*e-5*B*b^3*d^3)/e^6/(e*x+d)^4-2/3*b^2*(2*A*a*b*e^2-2*A*b^2*d*e+3*B*a^2*e^2-8*B*a*b*d*e+5*B*b^2*d^2)/e^6/(e*x+d)^3-1/2*b^3*(A*b*e+4*B*a*e-5*B*b*d)/e^6/(e*x+d)^2-1/6*(A*a^4*e^5-4*A*a^3*b*d*e^4+6*A*a^2*b^2*d^2*e^3-4*A*a*b^3*d^3*e^2+A*b^4*d^4*e-B*a^4*d*e^4+4*B*a^3*b*d^2*e^3-6*B*a^2*b^2*d^3*e^2+4*B*a*b^3*d^4*e-B*b^4*d^5)/e^6/(e*x+d)^6","B"
1688,1,430,129,0.056000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^8,x)","-\frac{B \,b^{4}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{\left(A b e +4 a B e -5 B b d \right) b^{3}}{3 \left(e x +d \right)^{3} e^{6}}-\frac{\left(2 A a b \,e^{2}-2 A \,b^{2} d e +3 B \,a^{2} e^{2}-8 B d a b e +5 B \,b^{2} d^{2}\right) b^{2}}{2 \left(e x +d \right)^{4} e^{6}}-\frac{2 \left(3 A \,a^{2} b \,e^{3}-6 A a \,b^{2} d \,e^{2}+3 A \,b^{3} d^{2} e +2 B \,a^{3} e^{3}-9 B \,a^{2} b d \,e^{2}+12 B a \,b^{2} d^{2} e -5 B \,b^{3} d^{3}\right) b}{5 \left(e x +d \right)^{5} e^{6}}-\frac{A \,a^{4} e^{5}-4 A \,a^{3} b d \,e^{4}+6 A \,a^{2} b^{2} d^{2} e^{3}-4 A a \,b^{3} d^{3} e^{2}+A \,b^{4} d^{4} e -B d \,a^{4} e^{4}+4 B \,d^{2} a^{3} b \,e^{3}-6 B \,d^{3} a^{2} b^{2} e^{2}+4 B \,d^{4} a \,b^{3} e -b^{4} B \,d^{5}}{7 \left(e x +d \right)^{7} e^{6}}-\frac{4 A \,a^{3} b \,e^{4}-12 A \,a^{2} b^{2} d \,e^{3}+12 A \,d^{2} a \,b^{3} e^{2}-4 A \,b^{4} d^{3} e +B \,a^{4} e^{4}-8 B d \,a^{3} b \,e^{3}+18 B \,d^{2} a^{2} b^{2} e^{2}-16 B \,d^{3} a \,b^{3} e +5 b^{4} B \,d^{4}}{6 \left(e x +d \right)^{6} e^{6}}"," ",0,"-2/5*b*(3*A*a^2*b*e^3-6*A*a*b^2*d*e^2+3*A*b^3*d^2*e+2*B*a^3*e^3-9*B*a^2*b*d*e^2+12*B*a*b^2*d^2*e-5*B*b^3*d^3)/e^6/(e*x+d)^5-1/2*b^2*(2*A*a*b*e^2-2*A*b^2*d*e+3*B*a^2*e^2-8*B*a*b*d*e+5*B*b^2*d^2)/e^6/(e*x+d)^4-1/3*b^3*(A*b*e+4*B*a*e-5*B*b*d)/e^6/(e*x+d)^3-1/2*b^4*B/e^6/(e*x+d)^2-1/7*(A*a^4*e^5-4*A*a^3*b*d*e^4+6*A*a^2*b^2*d^2*e^3-4*A*a*b^3*d^3*e^2+A*b^4*d^4*e-B*a^4*d*e^4+4*B*a^3*b*d^2*e^3-6*B*a^2*b^2*d^3*e^2+4*B*a*b^3*d^4*e-B*b^4*d^5)/e^6/(e*x+d)^7-1/6*(4*A*a^3*b*e^4-12*A*a^2*b^2*d*e^3+12*A*a*b^3*d^2*e^2-4*A*b^4*d^3*e+B*a^4*e^4-8*B*a^3*b*d*e^3+18*B*a^2*b^2*d^2*e^2-16*B*a*b^3*d^3*e+5*B*b^4*d^4)/e^6/(e*x+d)^6","B"
1689,1,430,177,0.052000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^9,x)","-\frac{B \,b^{4}}{3 \left(e x +d \right)^{3} e^{6}}-\frac{\left(A b e +4 a B e -5 B b d \right) b^{3}}{4 \left(e x +d \right)^{4} e^{6}}-\frac{2 \left(2 A a b \,e^{2}-2 A \,b^{2} d e +3 B \,a^{2} e^{2}-8 B d a b e +5 B \,b^{2} d^{2}\right) b^{2}}{5 \left(e x +d \right)^{5} e^{6}}-\frac{\left(3 A \,a^{2} b \,e^{3}-6 A a \,b^{2} d \,e^{2}+3 A \,b^{3} d^{2} e +2 B \,a^{3} e^{3}-9 B \,a^{2} b d \,e^{2}+12 B a \,b^{2} d^{2} e -5 B \,b^{3} d^{3}\right) b}{3 \left(e x +d \right)^{6} e^{6}}-\frac{4 A \,a^{3} b \,e^{4}-12 A \,a^{2} b^{2} d \,e^{3}+12 A \,d^{2} a \,b^{3} e^{2}-4 A \,b^{4} d^{3} e +B \,a^{4} e^{4}-8 B d \,a^{3} b \,e^{3}+18 B \,d^{2} a^{2} b^{2} e^{2}-16 B \,d^{3} a \,b^{3} e +5 b^{4} B \,d^{4}}{7 \left(e x +d \right)^{7} e^{6}}-\frac{A \,a^{4} e^{5}-4 A \,a^{3} b d \,e^{4}+6 A \,a^{2} b^{2} d^{2} e^{3}-4 A a \,b^{3} d^{3} e^{2}+A \,b^{4} d^{4} e -B d \,a^{4} e^{4}+4 B \,d^{2} a^{3} b \,e^{3}-6 B \,d^{3} a^{2} b^{2} e^{2}+4 B \,d^{4} a \,b^{3} e -b^{4} B \,d^{5}}{8 \left(e x +d \right)^{8} e^{6}}"," ",0,"-2/5*b^2*(2*A*a*b*e^2-2*A*b^2*d*e+3*B*a^2*e^2-8*B*a*b*d*e+5*B*b^2*d^2)/e^6/(e*x+d)^5-1/4*b^3*(A*b*e+4*B*a*e-5*B*b*d)/e^6/(e*x+d)^4-1/3*b^4*B/e^6/(e*x+d)^3-1/7*(4*A*a^3*b*e^4-12*A*a^2*b^2*d*e^3+12*A*a*b^3*d^2*e^2-4*A*b^4*d^3*e+B*a^4*e^4-8*B*a^3*b*d*e^3+18*B*a^2*b^2*d^2*e^2-16*B*a*b^3*d^3*e+5*B*b^4*d^4)/e^6/(e*x+d)^7-1/8*(A*a^4*e^5-4*A*a^3*b*d*e^4+6*A*a^2*b^2*d^2*e^3-4*A*a*b^3*d^3*e^2+A*b^4*d^4*e-B*a^4*d*e^4+4*B*a^3*b*d^2*e^3-6*B*a^2*b^2*d^3*e^2+4*B*a*b^3*d^4*e-B*b^4*d^5)/e^6/(e*x+d)^8-1/3*b*(3*A*a^2*b*e^3-6*A*a*b^2*d*e^2+3*A*b^3*d^2*e+2*B*a^3*e^3-9*B*a^2*b*d*e^2+12*B*a*b^2*d^2*e-5*B*b^3*d^3)/e^6/(e*x+d)^6","B"
1690,1,430,194,0.054000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^10,x)","-\frac{B \,b^{4}}{4 \left(e x +d \right)^{4} e^{6}}-\frac{\left(A b e +4 a B e -5 B b d \right) b^{3}}{5 \left(e x +d \right)^{5} e^{6}}-\frac{\left(2 A a b \,e^{2}-2 A \,b^{2} d e +3 B \,a^{2} e^{2}-8 B d a b e +5 B \,b^{2} d^{2}\right) b^{2}}{3 \left(e x +d \right)^{6} e^{6}}-\frac{2 \left(3 A \,a^{2} b \,e^{3}-6 A a \,b^{2} d \,e^{2}+3 A \,b^{3} d^{2} e +2 B \,a^{3} e^{3}-9 B \,a^{2} b d \,e^{2}+12 B a \,b^{2} d^{2} e -5 B \,b^{3} d^{3}\right) b}{7 \left(e x +d \right)^{7} e^{6}}-\frac{4 A \,a^{3} b \,e^{4}-12 A \,a^{2} b^{2} d \,e^{3}+12 A \,d^{2} a \,b^{3} e^{2}-4 A \,b^{4} d^{3} e +B \,a^{4} e^{4}-8 B d \,a^{3} b \,e^{3}+18 B \,d^{2} a^{2} b^{2} e^{2}-16 B \,d^{3} a \,b^{3} e +5 b^{4} B \,d^{4}}{8 \left(e x +d \right)^{8} e^{6}}-\frac{A \,a^{4} e^{5}-4 A \,a^{3} b d \,e^{4}+6 A \,a^{2} b^{2} d^{2} e^{3}-4 A a \,b^{3} d^{3} e^{2}+A \,b^{4} d^{4} e -B d \,a^{4} e^{4}+4 B \,d^{2} a^{3} b \,e^{3}-6 B \,d^{3} a^{2} b^{2} e^{2}+4 B \,d^{4} a \,b^{3} e -b^{4} B \,d^{5}}{9 \left(e x +d \right)^{9} e^{6}}"," ",0,"-1/5*b^3*(A*b*e+4*B*a*e-5*B*b*d)/e^6/(e*x+d)^5-1/4*b^4*B/e^6/(e*x+d)^4-2/7*b*(3*A*a^2*b*e^3-6*A*a*b^2*d*e^2+3*A*b^3*d^2*e+2*B*a^3*e^3-9*B*a^2*b*d*e^2+12*B*a*b^2*d^2*e-5*B*b^3*d^3)/e^6/(e*x+d)^7-1/8*(4*A*a^3*b*e^4-12*A*a^2*b^2*d*e^3+12*A*a*b^3*d^2*e^2-4*A*b^4*d^3*e+B*a^4*e^4-8*B*a^3*b*d*e^3+18*B*a^2*b^2*d^2*e^2-16*B*a*b^3*d^3*e+5*B*b^4*d^4)/e^6/(e*x+d)^8-1/9*(A*a^4*e^5-4*A*a^3*b*d*e^4+6*A*a^2*b^2*d^2*e^3-4*A*a*b^3*d^3*e^2+A*b^4*d^4*e-B*a^4*d*e^4+4*B*a^3*b*d^2*e^3-6*B*a^2*b^2*d^3*e^2+4*B*a*b^3*d^4*e-B*b^4*d^5)/e^6/(e*x+d)^9-1/3*b^2*(2*A*a*b*e^2-2*A*b^2*d*e+3*B*a^2*e^2-8*B*a*b*d*e+5*B*b^2*d^2)/e^6/(e*x+d)^6","B"
1691,1,430,194,0.051000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^11,x)","-\frac{B \,b^{4}}{5 \left(e x +d \right)^{5} e^{6}}-\frac{\left(A b e +4 a B e -5 B b d \right) b^{3}}{6 \left(e x +d \right)^{6} e^{6}}-\frac{2 \left(2 A a b \,e^{2}-2 A \,b^{2} d e +3 B \,a^{2} e^{2}-8 B d a b e +5 B \,b^{2} d^{2}\right) b^{2}}{7 \left(e x +d \right)^{7} e^{6}}-\frac{\left(3 A \,a^{2} b \,e^{3}-6 A a \,b^{2} d \,e^{2}+3 A \,b^{3} d^{2} e +2 B \,a^{3} e^{3}-9 B \,a^{2} b d \,e^{2}+12 B a \,b^{2} d^{2} e -5 B \,b^{3} d^{3}\right) b}{4 \left(e x +d \right)^{8} e^{6}}-\frac{A \,a^{4} e^{5}-4 A \,a^{3} b d \,e^{4}+6 A \,a^{2} b^{2} d^{2} e^{3}-4 A a \,b^{3} d^{3} e^{2}+A \,b^{4} d^{4} e -B d \,a^{4} e^{4}+4 B \,d^{2} a^{3} b \,e^{3}-6 B \,d^{3} a^{2} b^{2} e^{2}+4 B \,d^{4} a \,b^{3} e -b^{4} B \,d^{5}}{10 \left(e x +d \right)^{10} e^{6}}-\frac{4 A \,a^{3} b \,e^{4}-12 A \,a^{2} b^{2} d \,e^{3}+12 A \,d^{2} a \,b^{3} e^{2}-4 A \,b^{4} d^{3} e +B \,a^{4} e^{4}-8 B d \,a^{3} b \,e^{3}+18 B \,d^{2} a^{2} b^{2} e^{2}-16 B \,d^{3} a \,b^{3} e +5 b^{4} B \,d^{4}}{9 \left(e x +d \right)^{9} e^{6}}"," ",0,"-1/5*b^4*B/e^6/(e*x+d)^5-1/10*(A*a^4*e^5-4*A*a^3*b*d*e^4+6*A*a^2*b^2*d^2*e^3-4*A*a*b^3*d^3*e^2+A*b^4*d^4*e-B*a^4*d*e^4+4*B*a^3*b*d^2*e^3-6*B*a^2*b^2*d^3*e^2+4*B*a*b^3*d^4*e-B*b^4*d^5)/e^6/(e*x+d)^10-2/7*b^2*(2*A*a*b*e^2-2*A*b^2*d*e+3*B*a^2*e^2-8*B*a*b*d*e+5*B*b^2*d^2)/e^6/(e*x+d)^7-1/4*b*(3*A*a^2*b*e^3-6*A*a*b^2*d*e^2+3*A*b^3*d^2*e+2*B*a^3*e^3-9*B*a^2*b*d*e^2+12*B*a*b^2*d^2*e-5*B*b^3*d^3)/e^6/(e*x+d)^8-1/9*(4*A*a^3*b*e^4-12*A*a^2*b^2*d*e^3+12*A*a*b^3*d^2*e^2-4*A*b^4*d^3*e+B*a^4*e^4-8*B*a^3*b*d*e^3+18*B*a^2*b^2*d^2*e^2-16*B*a*b^3*d^3*e+5*B*b^4*d^4)/e^6/(e*x+d)^9-1/6*b^3*(A*b*e+4*B*a*e-5*B*b*d)/e^6/(e*x+d)^6","B"
1692,1,430,194,0.054000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^12,x)","-\frac{B \,b^{4}}{6 \left(e x +d \right)^{6} e^{6}}-\frac{\left(A b e +4 a B e -5 B b d \right) b^{3}}{7 \left(e x +d \right)^{7} e^{6}}-\frac{\left(2 A a b \,e^{2}-2 A \,b^{2} d e +3 B \,a^{2} e^{2}-8 B d a b e +5 B \,b^{2} d^{2}\right) b^{2}}{4 \left(e x +d \right)^{8} e^{6}}-\frac{2 \left(3 A \,a^{2} b \,e^{3}-6 A a \,b^{2} d \,e^{2}+3 A \,b^{3} d^{2} e +2 B \,a^{3} e^{3}-9 B \,a^{2} b d \,e^{2}+12 B a \,b^{2} d^{2} e -5 B \,b^{3} d^{3}\right) b}{9 \left(e x +d \right)^{9} e^{6}}-\frac{A \,a^{4} e^{5}-4 A \,a^{3} b d \,e^{4}+6 A \,a^{2} b^{2} d^{2} e^{3}-4 A a \,b^{3} d^{3} e^{2}+A \,b^{4} d^{4} e -B d \,a^{4} e^{4}+4 B \,d^{2} a^{3} b \,e^{3}-6 B \,d^{3} a^{2} b^{2} e^{2}+4 B \,d^{4} a \,b^{3} e -b^{4} B \,d^{5}}{11 \left(e x +d \right)^{11} e^{6}}-\frac{4 A \,a^{3} b \,e^{4}-12 A \,a^{2} b^{2} d \,e^{3}+12 A \,d^{2} a \,b^{3} e^{2}-4 A \,b^{4} d^{3} e +B \,a^{4} e^{4}-8 B d \,a^{3} b \,e^{3}+18 B \,d^{2} a^{2} b^{2} e^{2}-16 B \,d^{3} a \,b^{3} e +5 b^{4} B \,d^{4}}{10 \left(e x +d \right)^{10} e^{6}}"," ",0,"-1/11*(A*a^4*e^5-4*A*a^3*b*d*e^4+6*A*a^2*b^2*d^2*e^3-4*A*a*b^3*d^3*e^2+A*b^4*d^4*e-B*a^4*d*e^4+4*B*a^3*b*d^2*e^3-6*B*a^2*b^2*d^3*e^2+4*B*a*b^3*d^4*e-B*b^4*d^5)/e^6/(e*x+d)^11-1/10*(4*A*a^3*b*e^4-12*A*a^2*b^2*d*e^3+12*A*a*b^3*d^2*e^2-4*A*b^4*d^3*e+B*a^4*e^4-8*B*a^3*b*d*e^3+18*B*a^2*b^2*d^2*e^2-16*B*a*b^3*d^3*e+5*B*b^4*d^4)/e^6/(e*x+d)^10-1/7*b^3*(A*b*e+4*B*a*e-5*B*b*d)/e^6/(e*x+d)^7-1/4*b^2*(2*A*a*b*e^2-2*A*b^2*d*e+3*B*a^2*e^2-8*B*a*b*d*e+5*B*b^2*d^2)/e^6/(e*x+d)^8-2/9*b*(3*A*a^2*b*e^3-6*A*a*b^2*d*e^2+3*A*b^3*d^2*e+2*B*a^3*e^3-9*B*a^2*b*d*e^2+12*B*a*b^2*d^2*e-5*B*b^3*d^3)/e^6/(e*x+d)^9-1/6*b^4*B/e^6/(e*x+d)^6","B"
1693,1,564,183,0.056000," ","int((B*x+A)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2),x)","\frac{B \,e^{4} x^{4}}{4 b^{2}}+\frac{A \,e^{4} x^{3}}{3 b^{2}}-\frac{2 B a \,e^{4} x^{3}}{3 b^{3}}+\frac{4 B d \,e^{3} x^{3}}{3 b^{2}}-\frac{A a \,e^{4} x^{2}}{b^{3}}+\frac{2 A d \,e^{3} x^{2}}{b^{2}}+\frac{3 B \,a^{2} e^{4} x^{2}}{2 b^{4}}-\frac{4 B a d \,e^{3} x^{2}}{b^{3}}+\frac{3 B \,d^{2} e^{2} x^{2}}{b^{2}}-\frac{A \,a^{4} e^{4}}{\left(b x +a \right) b^{5}}+\frac{4 A \,a^{3} d \,e^{3}}{\left(b x +a \right) b^{4}}-\frac{4 A \,a^{3} e^{4} \ln \left(b x +a \right)}{b^{5}}-\frac{6 A \,a^{2} d^{2} e^{2}}{\left(b x +a \right) b^{3}}+\frac{12 A \,a^{2} d \,e^{3} \ln \left(b x +a \right)}{b^{4}}+\frac{3 A \,a^{2} e^{4} x}{b^{4}}+\frac{4 A a \,d^{3} e}{\left(b x +a \right) b^{2}}-\frac{12 A a \,d^{2} e^{2} \ln \left(b x +a \right)}{b^{3}}-\frac{8 A a d \,e^{3} x}{b^{3}}-\frac{A \,d^{4}}{\left(b x +a \right) b}+\frac{4 A \,d^{3} e \ln \left(b x +a \right)}{b^{2}}+\frac{6 A \,d^{2} e^{2} x}{b^{2}}+\frac{B \,a^{5} e^{4}}{\left(b x +a \right) b^{6}}-\frac{4 B \,a^{4} d \,e^{3}}{\left(b x +a \right) b^{5}}+\frac{5 B \,a^{4} e^{4} \ln \left(b x +a \right)}{b^{6}}+\frac{6 B \,a^{3} d^{2} e^{2}}{\left(b x +a \right) b^{4}}-\frac{16 B \,a^{3} d \,e^{3} \ln \left(b x +a \right)}{b^{5}}-\frac{4 B \,a^{3} e^{4} x}{b^{5}}-\frac{4 B \,a^{2} d^{3} e}{\left(b x +a \right) b^{3}}+\frac{18 B \,a^{2} d^{2} e^{2} \ln \left(b x +a \right)}{b^{4}}+\frac{12 B \,a^{2} d \,e^{3} x}{b^{4}}+\frac{B a \,d^{4}}{\left(b x +a \right) b^{2}}-\frac{8 B a \,d^{3} e \ln \left(b x +a \right)}{b^{3}}-\frac{12 B a \,d^{2} e^{2} x}{b^{3}}+\frac{B \,d^{4} \ln \left(b x +a \right)}{b^{2}}+\frac{4 B \,d^{3} e x}{b^{2}}"," ",0,"4/3*e^3/b^2*B*x^3*d-4/b^5*ln(b*x+a)*A*a^3*e^4+4/b^2*ln(b*x+a)*A*d^3*e+5/b^6*ln(b*x+a)*B*a^4*e^4-1/b^5/(b*x+a)*A*a^4*e^4+1/b^6/(b*x+a)*B*a^5*e^4-4*e^4/b^5*B*a^3*x-e^4/b^3*A*x^2*a+2*e^3/b^2*A*x^2*d+6/b^4/(b*x+a)*B*a^3*d^2*e^2-4/b^3/(b*x+a)*B*a^2*d^3*e-12*e^2/b^3*B*a*d^2*x-4*e^3/b^3*B*x^2*a*d-8*e^3/b^3*A*a*d*x-4/b^5/(b*x+a)*B*a^4*d*e^3+12*e^3/b^4*B*a^2*d*x-8/b^3*ln(b*x+a)*B*d^3*a*e+4/b^4/(b*x+a)*A*a^3*d*e^3+3/2*e^4/b^4*B*x^2*a^2+1/b^2*ln(b*x+a)*B*d^4-1/b/(b*x+a)*A*d^4+1/4*e^4/b^2*B*x^4+1/3*e^4/b^2*A*x^3+3*e^2/b^2*B*x^2*d^2+3*e^4/b^4*A*a^2*x+6*e^2/b^2*A*d^2*x+1/b^2/(b*x+a)*B*a*d^4-2/3*e^4/b^3*B*x^3*a-6/b^3/(b*x+a)*A*a^2*d^2*e^2+4/b^2/(b*x+a)*A*a*d^3*e+12/b^4*ln(b*x+a)*A*a^2*d*e^3-12/b^3*ln(b*x+a)*A*d^2*a*e^2-16/b^5*ln(b*x+a)*B*d*a^3*e^3+18/b^4*ln(b*x+a)*B*d^2*a^2*e^2+4*e/b^2*B*d^3*x","B"
1694,1,376,141,0.056000," ","int((B*x+A)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2),x)","\frac{B \,e^{3} x^{3}}{3 b^{2}}+\frac{A \,e^{3} x^{2}}{2 b^{2}}-\frac{B a \,e^{3} x^{2}}{b^{3}}+\frac{3 B d \,e^{2} x^{2}}{2 b^{2}}+\frac{A \,a^{3} e^{3}}{\left(b x +a \right) b^{4}}-\frac{3 A \,a^{2} d \,e^{2}}{\left(b x +a \right) b^{3}}+\frac{3 A \,a^{2} e^{3} \ln \left(b x +a \right)}{b^{4}}+\frac{3 A a \,d^{2} e}{\left(b x +a \right) b^{2}}-\frac{6 A a d \,e^{2} \ln \left(b x +a \right)}{b^{3}}-\frac{2 A a \,e^{3} x}{b^{3}}-\frac{A \,d^{3}}{\left(b x +a \right) b}+\frac{3 A \,d^{2} e \ln \left(b x +a \right)}{b^{2}}+\frac{3 A d \,e^{2} x}{b^{2}}-\frac{B \,a^{4} e^{3}}{\left(b x +a \right) b^{5}}+\frac{3 B \,a^{3} d \,e^{2}}{\left(b x +a \right) b^{4}}-\frac{4 B \,a^{3} e^{3} \ln \left(b x +a \right)}{b^{5}}-\frac{3 B \,a^{2} d^{2} e}{\left(b x +a \right) b^{3}}+\frac{9 B \,a^{2} d \,e^{2} \ln \left(b x +a \right)}{b^{4}}+\frac{3 B \,a^{2} e^{3} x}{b^{4}}+\frac{B a \,d^{3}}{\left(b x +a \right) b^{2}}-\frac{6 B a \,d^{2} e \ln \left(b x +a \right)}{b^{3}}-\frac{6 B a d \,e^{2} x}{b^{3}}+\frac{B \,d^{3} \ln \left(b x +a \right)}{b^{2}}+\frac{3 B \,d^{2} e x}{b^{2}}"," ",0,"1/3*e^3/b^2*B*x^3+1/2*e^3/b^2*A*x^2-e^3/b^3*B*x^2*a+3/2*e^2/b^2*B*x^2*d-2*e^3/b^3*A*x*a+3*e^2/b^2*A*x*d+3*e^3/b^4*B*x*a^2-6*e^2/b^3*B*x*a*d+3*e/b^2*B*x*d^2+3/b^4*ln(b*x+a)*A*a^2*e^3-6/b^3*ln(b*x+a)*A*a*d*e^2+3/b^2*ln(b*x+a)*A*d^2*e-4/b^5*ln(b*x+a)*B*a^3*e^3+9/b^4*ln(b*x+a)*B*a^2*d*e^2-6/b^3*ln(b*x+a)*B*a*d^2*e+1/b^2*ln(b*x+a)*B*d^3+1/b^4/(b*x+a)*A*a^3*e^3-3/b^3/(b*x+a)*A*a^2*d*e^2+3/b^2/(b*x+a)*A*a*d^2*e-1/b/(b*x+a)*A*d^3-1/b^5/(b*x+a)*B*a^4*e^3+3/b^4/(b*x+a)*B*a^3*d*e^2-3/b^3/(b*x+a)*B*a^2*d^2*e+1/b^2/(b*x+a)*B*a*d^3","B"
1695,1,223,97,0.061000," ","int((B*x+A)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2),x)","\frac{B \,e^{2} x^{2}}{2 b^{2}}-\frac{A \,a^{2} e^{2}}{\left(b x +a \right) b^{3}}+\frac{2 A a d e}{\left(b x +a \right) b^{2}}-\frac{2 A a \,e^{2} \ln \left(b x +a \right)}{b^{3}}-\frac{A \,d^{2}}{\left(b x +a \right) b}+\frac{2 A d e \ln \left(b x +a \right)}{b^{2}}+\frac{A \,e^{2} x}{b^{2}}+\frac{B \,a^{3} e^{2}}{\left(b x +a \right) b^{4}}-\frac{2 B \,a^{2} d e}{\left(b x +a \right) b^{3}}+\frac{3 B \,a^{2} e^{2} \ln \left(b x +a \right)}{b^{4}}+\frac{B a \,d^{2}}{\left(b x +a \right) b^{2}}-\frac{4 B a d e \ln \left(b x +a \right)}{b^{3}}-\frac{2 B a \,e^{2} x}{b^{3}}+\frac{B \,d^{2} \ln \left(b x +a \right)}{b^{2}}+\frac{2 B d e x}{b^{2}}"," ",0,"1/2*B*e^2*x^2/b^2+e^2/b^2*A*x-2*e^2/b^3*a*B*x+2*e/b^2*B*d*x-2/b^3*ln(b*x+a)*A*a*e^2+2/b^2*ln(b*x+a)*A*d*e+3/b^4*ln(b*x+a)*B*a^2*e^2-4/b^3*ln(b*x+a)*B*d*a*e+1/b^2*ln(b*x+a)*B*d^2-1/b^3/(b*x+a)*A*a^2*e^2+2/b^2/(b*x+a)*A*a*d*e-1/b/(b*x+a)*A*d^2+1/b^4/(b*x+a)*B*a^3*e^2-2/b^3/(b*x+a)*B*a^2*d*e+1/b^2/(b*x+a)*B*a*d^2","B"
1696,1,106,60,0.052000," ","int((B*x+A)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2),x)","\frac{A a e}{\left(b x +a \right) b^{2}}-\frac{A d}{\left(b x +a \right) b}+\frac{A e \ln \left(b x +a \right)}{b^{2}}-\frac{B \,a^{2} e}{\left(b x +a \right) b^{3}}+\frac{B a d}{\left(b x +a \right) b^{2}}-\frac{2 B a e \ln \left(b x +a \right)}{b^{3}}+\frac{B d \ln \left(b x +a \right)}{b^{2}}+\frac{B e x}{b^{2}}"," ",0,"B*e*x/b^2+1/b^2*ln(b*x+a)*A*e-2/b^3*ln(b*x+a)*a*B*e+1/b^2*ln(b*x+a)*B*d+1/b^2/(b*x+a)*A*a*e-1/b/(b*x+a)*A*d-1/b^3/(b*x+a)*B*a^2*e+1/b^2/(b*x+a)*B*a*d","A"
1697,1,39,31,0.051000," ","int((B*x+A)/(b^2*x^2+2*a*b*x+a^2),x)","-\frac{A}{\left(b x +a \right) b}+\frac{B a}{\left(b x +a \right) b^{2}}+\frac{B \ln \left(b x +a \right)}{b^{2}}"," ",0,"B/b^2*ln(b*x+a)-1/b/(b*x+a)*A+1/b^2/(b*x+a)*B*a","A"
1698,1,123,81,0.051000," ","int((B*x+A)/(e*x+d)/(b^2*x^2+2*a*b*x+a^2),x)","-\frac{A e \ln \left(b x +a \right)}{\left(a e -b d \right)^{2}}+\frac{A e \ln \left(e x +d \right)}{\left(a e -b d \right)^{2}}+\frac{B d \ln \left(b x +a \right)}{\left(a e -b d \right)^{2}}-\frac{B d \ln \left(e x +d \right)}{\left(a e -b d \right)^{2}}+\frac{A}{\left(a e -b d \right) \left(b x +a \right)}-\frac{B a}{\left(a e -b d \right) \left(b x +a \right) b}"," ",0,"1/(a*e-b*d)/(b*x+a)*A-1/(a*e-b*d)/b/(b*x+a)*B*a-1/(a*e-b*d)^2*ln(b*x+a)*A*e+1/(a*e-b*d)^2*ln(b*x+a)*B*d+1/(a*e-b*d)^2*ln(e*x+d)*A*e-1/(a*e-b*d)^2*ln(e*x+d)*B*d","A"
1699,1,208,116,0.059000," ","int((B*x+A)/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2),x)","\frac{2 A b e \ln \left(b x +a \right)}{\left(a e -b d \right)^{3}}-\frac{2 A b e \ln \left(e x +d \right)}{\left(a e -b d \right)^{3}}-\frac{B a e \ln \left(b x +a \right)}{\left(a e -b d \right)^{3}}+\frac{B a e \ln \left(e x +d \right)}{\left(a e -b d \right)^{3}}-\frac{B b d \ln \left(b x +a \right)}{\left(a e -b d \right)^{3}}+\frac{B b d \ln \left(e x +d \right)}{\left(a e -b d \right)^{3}}-\frac{A b}{\left(a e -b d \right)^{2} \left(b x +a \right)}-\frac{A e}{\left(a e -b d \right)^{2} \left(e x +d \right)}+\frac{B a}{\left(a e -b d \right)^{2} \left(b x +a \right)}+\frac{B d}{\left(a e -b d \right)^{2} \left(e x +d \right)}"," ",0,"-1/(a*e-b*d)^2/(b*x+a)*A*b+1/(a*e-b*d)^2/(b*x+a)*B*a+2/(a*e-b*d)^3*ln(b*x+a)*A*b*e-1/(a*e-b*d)^3*ln(b*x+a)*a*B*e-1/(a*e-b*d)^3*ln(b*x+a)*B*b*d-1/(a*e-b*d)^2/(e*x+d)*A*e+1/(a*e-b*d)^2/(e*x+d)*B*d-2/(a*e-b*d)^3*ln(e*x+d)*A*b*e+1/(a*e-b*d)^3*ln(e*x+d)*a*B*e+1/(a*e-b*d)^3*ln(e*x+d)*B*b*d","A"
1700,1,289,155,0.063000," ","int((B*x+A)/(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2),x)","-\frac{3 A \,b^{2} e \ln \left(b x +a \right)}{\left(a e -b d \right)^{4}}+\frac{3 A \,b^{2} e \ln \left(e x +d \right)}{\left(a e -b d \right)^{4}}+\frac{2 B a b e \ln \left(b x +a \right)}{\left(a e -b d \right)^{4}}-\frac{2 B a b e \ln \left(e x +d \right)}{\left(a e -b d \right)^{4}}+\frac{B \,b^{2} d \ln \left(b x +a \right)}{\left(a e -b d \right)^{4}}-\frac{B \,b^{2} d \ln \left(e x +d \right)}{\left(a e -b d \right)^{4}}+\frac{A \,b^{2}}{\left(a e -b d \right)^{3} \left(b x +a \right)}+\frac{2 A b e}{\left(a e -b d \right)^{3} \left(e x +d \right)}-\frac{B a b}{\left(a e -b d \right)^{3} \left(b x +a \right)}-\frac{B a e}{\left(a e -b d \right)^{3} \left(e x +d \right)}-\frac{B b d}{\left(a e -b d \right)^{3} \left(e x +d \right)}-\frac{A e}{2 \left(a e -b d \right)^{2} \left(e x +d \right)^{2}}+\frac{B d}{2 \left(a e -b d \right)^{2} \left(e x +d \right)^{2}}"," ",0,"b^2/(a*e-b*d)^3/(b*x+a)*A-b/(a*e-b*d)^3/(b*x+a)*B*a-3*b^2/(a*e-b*d)^4*ln(b*x+a)*A*e+2*b/(a*e-b*d)^4*ln(b*x+a)*a*B*e+b^2/(a*e-b*d)^4*ln(b*x+a)*B*d-1/2/(a*e-b*d)^2/(e*x+d)^2*A*e+1/2/(a*e-b*d)^2/(e*x+d)^2*B*d+3*b^2/(a*e-b*d)^4*ln(e*x+d)*A*e-2*b/(a*e-b*d)^4*ln(e*x+d)*a*B*e-b^2/(a*e-b*d)^4*ln(e*x+d)*B*d+2/(a*e-b*d)^3/(e*x+d)*A*b*e-1/(a*e-b*d)^3/(e*x+d)*a*B*e-1/(a*e-b*d)^3/(e*x+d)*B*b*d","A"
1701,1,626,180,0.061000," ","int((B*x+A)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{A \,a^{4} e^{4}}{3 \left(b x +a \right)^{3} b^{5}}+\frac{4 A \,a^{3} d \,e^{3}}{3 \left(b x +a \right)^{3} b^{4}}-\frac{2 A \,a^{2} d^{2} e^{2}}{\left(b x +a \right)^{3} b^{3}}+\frac{4 A a \,d^{3} e}{3 \left(b x +a \right)^{3} b^{2}}-\frac{A \,d^{4}}{3 \left(b x +a \right)^{3} b}+\frac{B \,a^{5} e^{4}}{3 \left(b x +a \right)^{3} b^{6}}-\frac{4 B \,a^{4} d \,e^{3}}{3 \left(b x +a \right)^{3} b^{5}}+\frac{2 B \,a^{3} d^{2} e^{2}}{\left(b x +a \right)^{3} b^{4}}-\frac{4 B \,a^{2} d^{3} e}{3 \left(b x +a \right)^{3} b^{3}}+\frac{B a \,d^{4}}{3 \left(b x +a \right)^{3} b^{2}}+\frac{2 A \,a^{3} e^{4}}{\left(b x +a \right)^{2} b^{5}}-\frac{6 A \,a^{2} d \,e^{3}}{\left(b x +a \right)^{2} b^{4}}+\frac{6 A a \,d^{2} e^{2}}{\left(b x +a \right)^{2} b^{3}}-\frac{2 A \,d^{3} e}{\left(b x +a \right)^{2} b^{2}}-\frac{5 B \,a^{4} e^{4}}{2 \left(b x +a \right)^{2} b^{6}}+\frac{8 B \,a^{3} d \,e^{3}}{\left(b x +a \right)^{2} b^{5}}-\frac{9 B \,a^{2} d^{2} e^{2}}{\left(b x +a \right)^{2} b^{4}}+\frac{4 B a \,d^{3} e}{\left(b x +a \right)^{2} b^{3}}-\frac{B \,d^{4}}{2 \left(b x +a \right)^{2} b^{2}}+\frac{B \,e^{4} x^{2}}{2 b^{4}}-\frac{6 A \,a^{2} e^{4}}{\left(b x +a \right) b^{5}}+\frac{12 A a d \,e^{3}}{\left(b x +a \right) b^{4}}-\frac{4 A a \,e^{4} \ln \left(b x +a \right)}{b^{5}}-\frac{6 A \,d^{2} e^{2}}{\left(b x +a \right) b^{3}}+\frac{4 A d \,e^{3} \ln \left(b x +a \right)}{b^{4}}+\frac{A \,e^{4} x}{b^{4}}+\frac{10 B \,a^{3} e^{4}}{\left(b x +a \right) b^{6}}-\frac{24 B \,a^{2} d \,e^{3}}{\left(b x +a \right) b^{5}}+\frac{10 B \,a^{2} e^{4} \ln \left(b x +a \right)}{b^{6}}+\frac{18 B a \,d^{2} e^{2}}{\left(b x +a \right) b^{4}}-\frac{16 B a d \,e^{3} \ln \left(b x +a \right)}{b^{5}}-\frac{4 B a \,e^{4} x}{b^{5}}-\frac{4 B \,d^{3} e}{\left(b x +a \right) b^{3}}+\frac{6 B \,d^{2} e^{2} \ln \left(b x +a \right)}{b^{4}}+\frac{4 B d \,e^{3} x}{b^{4}}"," ",0,"6/b^3/(b*x+a)^2*A*d^2*a*e^2+8/b^5/(b*x+a)^2*B*d*a^3*e^3-4/3/b^3/(b*x+a)^3*B*a^2*d^3*e-6/b^4/(b*x+a)^2*A*a^2*d*e^3+2/b^4/(b*x+a)^3*B*a^3*d^2*e^2-9/b^4/(b*x+a)^2*B*a^2*d^2*e^2+4/b^3/(b*x+a)^2*B*d^3*a*e+12*e^3/b^4/(b*x+a)*A*a*d-16/b^5*e^3*ln(b*x+a)*B*d*a-24*e^3/b^5/(b*x+a)*B*a^2*d+18*e^2/b^4/(b*x+a)*B*a*d^2-4/3/b^5/(b*x+a)^3*B*a^4*d*e^3+4/3/b^4/(b*x+a)^3*A*a^3*d*e^3-1/2/b^2/(b*x+a)^2*B*d^4-1/3/b/(b*x+a)^3*A*d^4+e^4/b^4*A*x+4/3/b^2/(b*x+a)^3*A*a*d^3*e-2/b^3/(b*x+a)^3*A*a^2*d^2*e^2+10*e^4/b^6/(b*x+a)*B*a^3-4*e/b^3/(b*x+a)*B*d^3+1/3/b^2/(b*x+a)^3*B*a*d^4+2/b^5/(b*x+a)^2*A*a^3*e^4-2/b^2/(b*x+a)^2*A*d^3*e-5/2/b^6/(b*x+a)^2*B*a^4*e^4-4*e^4/b^5*a*B*x+4*e^3/b^4*B*d*x-1/3/b^5/(b*x+a)^3*A*a^4*e^4+1/3/b^6/(b*x+a)^3*B*a^5*e^4+10/b^6*e^4*ln(b*x+a)*B*a^2+6/b^4*e^2*ln(b*x+a)*B*d^2-6*e^4/b^5/(b*x+a)*A*a^2-6*e^2/b^3/(b*x+a)*A*d^2-4/b^5*e^4*ln(b*x+a)*A*a+4/b^4*e^3*ln(b*x+a)*A*d+1/2*B*e^4*x^2/b^4","B"
1702,1,419,140,0.058000," ","int((B*x+A)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{A \,a^{3} e^{3}}{3 \left(b x +a \right)^{3} b^{4}}-\frac{A \,a^{2} d \,e^{2}}{\left(b x +a \right)^{3} b^{3}}+\frac{A a \,d^{2} e}{\left(b x +a \right)^{3} b^{2}}-\frac{A \,d^{3}}{3 \left(b x +a \right)^{3} b}-\frac{B \,a^{4} e^{3}}{3 \left(b x +a \right)^{3} b^{5}}+\frac{B \,a^{3} d \,e^{2}}{\left(b x +a \right)^{3} b^{4}}-\frac{B \,a^{2} d^{2} e}{\left(b x +a \right)^{3} b^{3}}+\frac{B a \,d^{3}}{3 \left(b x +a \right)^{3} b^{2}}-\frac{3 A \,a^{2} e^{3}}{2 \left(b x +a \right)^{2} b^{4}}+\frac{3 A a d \,e^{2}}{\left(b x +a \right)^{2} b^{3}}-\frac{3 A \,d^{2} e}{2 \left(b x +a \right)^{2} b^{2}}+\frac{2 B \,a^{3} e^{3}}{\left(b x +a \right)^{2} b^{5}}-\frac{9 B \,a^{2} d \,e^{2}}{2 \left(b x +a \right)^{2} b^{4}}+\frac{3 B a \,d^{2} e}{\left(b x +a \right)^{2} b^{3}}-\frac{B \,d^{3}}{2 \left(b x +a \right)^{2} b^{2}}+\frac{3 A a \,e^{3}}{\left(b x +a \right) b^{4}}-\frac{3 A d \,e^{2}}{\left(b x +a \right) b^{3}}+\frac{A \,e^{3} \ln \left(b x +a \right)}{b^{4}}-\frac{6 B \,a^{2} e^{3}}{\left(b x +a \right) b^{5}}+\frac{9 B a d \,e^{2}}{\left(b x +a \right) b^{4}}-\frac{4 B a \,e^{3} \ln \left(b x +a \right)}{b^{5}}-\frac{3 B \,d^{2} e}{\left(b x +a \right) b^{3}}+\frac{3 B d \,e^{2} \ln \left(b x +a \right)}{b^{4}}+\frac{B \,e^{3} x}{b^{4}}"," ",0,"B*e^3*x/b^4+1/3/b^4/(b*x+a)^3*A*a^3*e^3-1/b^3/(b*x+a)^3*A*a^2*d*e^2+1/b^2/(b*x+a)^3*A*a*d^2*e-1/3/b/(b*x+a)^3*A*d^3-1/3/b^5/(b*x+a)^3*B*a^4*e^3+1/b^4/(b*x+a)^3*a^3*B*d*e^2-1/b^3/(b*x+a)^3*B*a^2*d^2*e+1/3/b^2/(b*x+a)^3*B*a*d^3-3/2/b^4/(b*x+a)^2*A*a^2*e^3+3/b^3/(b*x+a)^2*A*a*d*e^2-3/2/b^2/(b*x+a)^2*A*d^2*e+2/b^5/(b*x+a)^2*B*a^3*e^3-9/2/b^4/(b*x+a)^2*B*a^2*d*e^2+3/b^3/(b*x+a)^2*B*a*d^2*e-1/2/b^2/(b*x+a)^2*B*d^3+1/b^4*e^3*ln(b*x+a)*A-4/b^5*e^3*ln(b*x+a)*a*B+3/b^4*e^2*ln(b*x+a)*B*d+3*e^3/b^4/(b*x+a)*A*a-3*e^2/b^3/(b*x+a)*A*d-6*e^3/b^5/(b*x+a)*B*a^2+9*e^2/b^4/(b*x+a)*B*d*a-3*e/b^3/(b*x+a)*B*d^2","B"
1703,1,251,97,0.054000," ","int((B*x+A)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{A \,a^{2} e^{2}}{3 \left(b x +a \right)^{3} b^{3}}+\frac{2 A a d e}{3 \left(b x +a \right)^{3} b^{2}}-\frac{A \,d^{2}}{3 \left(b x +a \right)^{3} b}+\frac{B \,a^{3} e^{2}}{3 \left(b x +a \right)^{3} b^{4}}-\frac{2 B \,a^{2} d e}{3 \left(b x +a \right)^{3} b^{3}}+\frac{B a \,d^{2}}{3 \left(b x +a \right)^{3} b^{2}}+\frac{A a \,e^{2}}{\left(b x +a \right)^{2} b^{3}}-\frac{A d e}{\left(b x +a \right)^{2} b^{2}}-\frac{3 B \,a^{2} e^{2}}{2 \left(b x +a \right)^{2} b^{4}}+\frac{2 B a d e}{\left(b x +a \right)^{2} b^{3}}-\frac{B \,d^{2}}{2 \left(b x +a \right)^{2} b^{2}}-\frac{A \,e^{2}}{\left(b x +a \right) b^{3}}+\frac{3 B a \,e^{2}}{\left(b x +a \right) b^{4}}-\frac{2 B d e}{\left(b x +a \right) b^{3}}+\frac{B \,e^{2} \ln \left(b x +a \right)}{b^{4}}"," ",0,"-1/3/b^3/(b*x+a)^3*A*a^2*e^2+2/3/b^2/(b*x+a)^3*A*a*d*e-1/3/b/(b*x+a)^3*A*d^2+1/3/b^4/(b*x+a)^3*B*a^3*e^2-2/3/b^3/(b*x+a)^3*B*a^2*d*e+1/3/b^2/(b*x+a)^3*B*a*d^2+B*e^2*ln(b*x+a)/b^4+1/b^3/(b*x+a)^2*A*a*e^2-1/b^2/(b*x+a)^2*A*d*e-3/2/b^4/(b*x+a)^2*B*a^2*e^2+2/b^3/(b*x+a)^2*B*d*a*e-1/2/b^2/(b*x+a)^2*B*d^2-e^2/b^3/(b*x+a)*A+3*e^2/b^4/(b*x+a)*a*B-2*e/b^3/(b*x+a)*B*d","B"
1704,1,79,71,0.049000," ","int((B*x+A)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{B e}{\left(b x +a \right) b^{3}}-\frac{-a A e b +A d \,b^{2}+B e \,a^{2}-a B d b}{3 \left(b x +a \right)^{3} b^{3}}-\frac{A b e -2 a B e +B b d}{2 \left(b x +a \right)^{2} b^{3}}"," ",0,"-1/3*(-A*a*b*e+A*b^2*d+B*a^2*e-B*a*b*d)/b^3/(b*x+a)^3-1/2*(A*b*e-2*B*a*e+B*b*d)/b^3/(b*x+a)^2-B*e/b^3/(b*x+a)","A"
1705,1,35,34,0.057000," ","int((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{B}{2 \left(b x +a \right)^{2} b^{2}}-\frac{A b -B a}{3 \left(b x +a \right)^{3} b^{2}}"," ",0,"-1/3*(A*b-B*a)/b^2/(b*x+a)^3-1/2/(b*x+a)^2*B/b^2","A"
1706,1,220,142,0.055000," ","int((B*x+A)/(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{A \,e^{3} \ln \left(b x +a \right)}{\left(a e -b d \right)^{4}}+\frac{A \,e^{3} \ln \left(e x +d \right)}{\left(a e -b d \right)^{4}}+\frac{B d \,e^{2} \ln \left(b x +a \right)}{\left(a e -b d \right)^{4}}-\frac{B d \,e^{2} \ln \left(e x +d \right)}{\left(a e -b d \right)^{4}}+\frac{A \,e^{2}}{\left(a e -b d \right)^{3} \left(b x +a \right)}-\frac{B d e}{\left(a e -b d \right)^{3} \left(b x +a \right)}+\frac{A e}{2 \left(a e -b d \right)^{2} \left(b x +a \right)^{2}}-\frac{B d}{2 \left(a e -b d \right)^{2} \left(b x +a \right)^{2}}+\frac{A}{3 \left(a e -b d \right) \left(b x +a \right)^{3}}-\frac{B a}{3 \left(a e -b d \right) \left(b x +a \right)^{3} b}"," ",0,"1/3/(a*e-b*d)/(b*x+a)^3*A-1/3/(a*e-b*d)/b/(b*x+a)^3*B*a+1/2/(a*e-b*d)^2/(b*x+a)^2*A*e-1/2/(a*e-b*d)^2/(b*x+a)^2*B*d+e^2/(a*e-b*d)^3/(b*x+a)*A-e/(a*e-b*d)^3/(b*x+a)*B*d-e^3/(a*e-b*d)^4*ln(b*x+a)*A+e^2/(a*e-b*d)^4*ln(b*x+a)*B*d+e^3/(a*e-b*d)^4*ln(e*x+d)*A-e^2/(a*e-b*d)^4*ln(e*x+d)*B*d","A"
1707,1,365,197,0.063000," ","int((B*x+A)/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{4 A b \,e^{3} \ln \left(b x +a \right)}{\left(a e -b d \right)^{5}}-\frac{4 A b \,e^{3} \ln \left(e x +d \right)}{\left(a e -b d \right)^{5}}-\frac{B a \,e^{3} \ln \left(b x +a \right)}{\left(a e -b d \right)^{5}}+\frac{B a \,e^{3} \ln \left(e x +d \right)}{\left(a e -b d \right)^{5}}-\frac{3 B b d \,e^{2} \ln \left(b x +a \right)}{\left(a e -b d \right)^{5}}+\frac{3 B b d \,e^{2} \ln \left(e x +d \right)}{\left(a e -b d \right)^{5}}-\frac{3 A b \,e^{2}}{\left(a e -b d \right)^{4} \left(b x +a \right)}-\frac{A \,e^{3}}{\left(a e -b d \right)^{4} \left(e x +d \right)}+\frac{B a \,e^{2}}{\left(a e -b d \right)^{4} \left(b x +a \right)}+\frac{2 B b d e}{\left(a e -b d \right)^{4} \left(b x +a \right)}+\frac{B d \,e^{2}}{\left(a e -b d \right)^{4} \left(e x +d \right)}-\frac{A b e}{\left(a e -b d \right)^{3} \left(b x +a \right)^{2}}+\frac{B a e}{2 \left(a e -b d \right)^{3} \left(b x +a \right)^{2}}+\frac{B b d}{2 \left(a e -b d \right)^{3} \left(b x +a \right)^{2}}-\frac{A b}{3 \left(a e -b d \right)^{2} \left(b x +a \right)^{3}}+\frac{B a}{3 \left(a e -b d \right)^{2} \left(b x +a \right)^{3}}"," ",0,"-1/3/(a*e-b*d)^2/(b*x+a)^3*A*b+1/3/(a*e-b*d)^2/(b*x+a)^3*B*a-1/(a*e-b*d)^3/(b*x+a)^2*A*b*e+1/2/(a*e-b*d)^3/(b*x+a)^2*a*B*e+1/2/(a*e-b*d)^3/(b*x+a)^2*B*b*d-3*e^2/(a*e-b*d)^4/(b*x+a)*A*b+e^2/(a*e-b*d)^4/(b*x+a)*a*B+2*e/(a*e-b*d)^4/(b*x+a)*B*b*d+4*e^3/(a*e-b*d)^5*ln(b*x+a)*A*b-e^3/(a*e-b*d)^5*ln(b*x+a)*a*B-3*e^2/(a*e-b*d)^5*ln(b*x+a)*B*b*d-e^3/(a*e-b*d)^4/(e*x+d)*A+e^2/(a*e-b*d)^4/(e*x+d)*B*d-4*e^3/(a*e-b*d)^5*ln(e*x+d)*A*b+e^3/(a*e-b*d)^5*ln(e*x+d)*a*B+3*e^2/(a*e-b*d)^5*ln(e*x+d)*B*b*d","A"
1708,1,232,119,0.046000," ","int((B*x+A)*(e*x+d)^4*((b*x+a)^2)^(1/2),x)","\frac{\left(30 b B \,e^{4} x^{6}+35 x^{5} A b \,e^{4}+35 x^{5} B a \,e^{4}+140 x^{5} b B d \,e^{3}+42 x^{4} A a \,e^{4}+168 x^{4} A b d \,e^{3}+168 x^{4} B a d \,e^{3}+252 x^{4} b B \,d^{2} e^{2}+210 x^{3} A a d \,e^{3}+315 x^{3} A b \,d^{2} e^{2}+315 x^{3} B a \,d^{2} e^{2}+210 x^{3} b B \,d^{3} e +420 x^{2} A a \,d^{2} e^{2}+280 x^{2} A b \,d^{3} e +280 x^{2} B a \,d^{3} e +70 x^{2} b B \,d^{4}+420 x A a \,d^{3} e +105 x A b \,d^{4}+105 x B a \,d^{4}+210 A a \,d^{4}\right) \sqrt{\left(b x +a \right)^{2}}\, x}{210 b x +210 a}"," ",0,"1/210*x*(30*B*b*e^4*x^6+35*A*b*e^4*x^5+35*B*a*e^4*x^5+140*B*b*d*e^3*x^5+42*A*a*e^4*x^4+168*A*b*d*e^3*x^4+168*B*a*d*e^3*x^4+252*B*b*d^2*e^2*x^4+210*A*a*d*e^3*x^3+315*A*b*d^2*e^2*x^3+315*B*a*d^2*e^2*x^3+210*B*b*d^3*e*x^3+420*A*a*d^2*e^2*x^2+280*A*b*d^3*e*x^2+280*B*a*d^3*e*x^2+70*B*b*d^4*x^2+420*A*a*d^3*e*x+105*A*b*d^4*x+105*B*a*d^4*x+210*A*a*d^4)*((b*x+a)^2)^(1/2)/(b*x+a)","A"
1709,1,180,119,0.043000," ","int((B*x+A)*(e*x+d)^3*((b*x+a)^2)^(1/2),x)","\frac{\left(10 b B \,e^{3} x^{5}+12 x^{4} A b \,e^{3}+12 x^{4} B a \,e^{3}+36 x^{4} b B d \,e^{2}+15 x^{3} a A \,e^{3}+45 x^{3} A b d \,e^{2}+45 x^{3} a B d \,e^{2}+45 x^{3} b B \,d^{2} e +60 x^{2} A a d \,e^{2}+60 x^{2} A b \,d^{2} e +60 x^{2} B a \,d^{2} e +20 x^{2} b B \,d^{3}+90 x A a \,d^{2} e +30 x A b \,d^{3}+30 x B a \,d^{3}+60 A a \,d^{3}\right) \sqrt{\left(b x +a \right)^{2}}\, x}{60 b x +60 a}"," ",0,"1/60*x*(10*B*b*e^3*x^5+12*A*b*e^3*x^4+12*B*a*e^3*x^4+36*B*b*d*e^2*x^4+15*A*a*e^3*x^3+45*A*b*d*e^2*x^3+45*B*a*d*e^2*x^3+45*B*b*d^2*e*x^3+60*A*a*d*e^2*x^2+60*A*b*d^2*e*x^2+60*B*a*d^2*e*x^2+20*B*b*d^3*x^2+90*A*a*d^2*e*x+30*A*b*d^3*x+30*B*a*d^3*x+60*A*a*d^3)*((b*x+a)^2)^(1/2)/(b*x+a)","A"
1710,1,128,119,0.046000," ","int((B*x+A)*(e*x+d)^2*((b*x+a)^2)^(1/2),x)","\frac{\left(12 b B \,e^{2} x^{4}+15 x^{3} A b \,e^{2}+15 x^{3} B a \,e^{2}+30 x^{3} b B d e +20 x^{2} A a \,e^{2}+40 x^{2} A b d e +40 x^{2} a B d e +20 x^{2} b B \,d^{2}+60 x A a d e +30 x A b \,d^{2}+30 x B a \,d^{2}+60 A a \,d^{2}\right) \sqrt{\left(b x +a \right)^{2}}\, x}{60 b x +60 a}"," ",0,"1/60*x*(12*B*b*e^2*x^4+15*A*b*e^2*x^3+15*B*a*e^2*x^3+30*B*b*d*e*x^3+20*A*a*e^2*x^2+40*A*b*d*e*x^2+40*B*a*d*e*x^2+20*B*b*d^2*x^2+60*A*a*d*e*x+30*A*b*d^2*x+30*B*a*d^2*x+60*A*a*d^2)*((b*x+a)^2)^(1/2)/(b*x+a)","A"
1711,1,76,114,0.046000," ","int((B*x+A)*(e*x+d)*((b*x+a)^2)^(1/2),x)","\frac{\left(3 B b e \,x^{3}+4 x^{2} A b e +4 x^{2} a B e +4 b B d \,x^{2}+6 x a A e +6 x A b d +6 x a B d +12 A a d \right) \sqrt{\left(b x +a \right)^{2}}\, x}{12 b x +12 a}"," ",0,"1/12*x*(3*B*b*e*x^3+4*A*b*e*x^2+4*B*a*e*x^2+4*B*b*d*x^2+6*A*a*e*x+6*A*b*d*x+6*B*a*d*x+12*A*a*d)*((b*x+a)^2)^(1/2)/(b*x+a)","A"
1712,1,42,52,0.039000," ","int((B*x+A)*((b*x+a)^2)^(1/2),x)","\frac{\left(2 B b \,x^{2}+3 A b x +3 B a x +6 A a \right) \sqrt{\left(b x +a \right)^{2}}\, x}{6 b x +6 a}"," ",0,"1/6*x*(2*B*b*x^2+3*A*b*x+3*B*a*x+6*A*a)*((b*x+a)^2)^(1/2)/(b*x+a)","A"
1713,1,146,97,0.069000," ","int((B*x+A)*((b*x+a)^2)^(1/2)/(e*x+d),x)","\frac{\left(B \,b^{2} e^{2} x^{2}+2 A a b \,e^{2} \ln \left(b e x +b d \right)-2 A \,b^{2} d e \ln \left(b e x +b d \right)+2 A \,b^{2} e^{2} x -2 B a b d e \ln \left(b e x +b d \right)+2 B a b \,e^{2} x +2 B \,b^{2} d^{2} \ln \left(b e x +b d \right)-2 B \,b^{2} d e x +2 A a b \,e^{2}+B \,a^{2} e^{2}-2 B a b d e \right) \mathrm{csgn}\left(b x +a \right)}{2 b \,e^{3}}"," ",0,"1/2*csgn(b*x+a)*(B*x^2*b^2*e^2+2*A*ln(b*e*x+b*d)*a*b*e^2-2*A*ln(b*e*x+b*d)*b^2*d*e+2*A*x*b^2*e^2-2*B*ln(b*e*x+b*d)*a*b*d*e+2*B*ln(b*e*x+b*d)*b^2*d^2+2*B*x*a*b*e^2-2*B*x*b^2*d*e+2*A*a*b*e^2+B*a^2*e^2-2*B*d*a*b*e)/b/e^3","C"
1714,1,158,111,0.070000," ","int((B*x+A)*((b*x+a)^2)^(1/2)/(e*x+d)^2,x)","\frac{\left(A b \,e^{2} x \ln \left(b e x +b d \right)+B a \,e^{2} x \ln \left(b e x +b d \right)-2 B b d e x \ln \left(b e x +b d \right)+B b \,e^{2} x^{2}+A b d e \ln \left(b e x +b d \right)+B a d e \ln \left(b e x +b d \right)+B a \,e^{2} x -2 B b \,d^{2} \ln \left(b e x +b d \right)+B b d e x -A a \,e^{2}+A b d e +2 B a d e -B b \,d^{2}\right) \mathrm{csgn}\left(b x +a \right)}{\left(e x +d \right) e^{3}}"," ",0,"csgn(b*x+a)*(A*ln(b*e*x+b*d)*x*b*e^2+B*ln(b*e*x+b*d)*x*a*e^2-2*B*ln(b*e*x+b*d)*x*b*d*e+B*x^2*b*e^2+A*ln(b*e*x+b*d)*b*d*e+B*ln(b*e*x+b*d)*a*d*e-2*B*ln(b*e*x+b*d)*b*d^2+B*x*a*e^2+B*x*b*d*e-A*a*e^2+A*b*d*e+2*a*B*d*e-b*B*d^2)/e^3/(e*x+d)","C"
1715,1,117,116,0.086000," ","int((B*x+A)*((b*x+a)^2)^(1/2)/(e*x+d)^3,x)","-\frac{\left(-2 B b \,e^{2} x^{2} \ln \left(b e x +b d \right)-4 B b d e x \ln \left(b e x +b d \right)+2 A b \,e^{2} x +2 B a \,e^{2} x -2 B b \,d^{2} \ln \left(b e x +b d \right)-4 B b d e x +A a \,e^{2}+A b d e +B a d e -3 B b \,d^{2}\right) \mathrm{csgn}\left(b x +a \right)}{2 \left(e x +d \right)^{2} e^{3}}"," ",0,"-1/2*csgn(b*x+a)*(-2*B*ln(b*e*x+b*d)*x^2*b*e^2-4*B*b*d*e*x*ln(b*e*x+b*d)+2*A*x*b*e^2-2*B*b*d^2*ln(b*e*x+b*d)+2*B*a*e^2*x-4*B*b*d*e*x+A*a*e^2+A*b*d*e+B*a*d*e-3*B*b*d^2)/e^3/(e*x+d)^2","C"
1716,1,87,87,0.048000," ","int((B*x+A)*((b*x+a)^2)^(1/2)/(e*x+d)^4,x)","-\frac{\left(6 B b \,e^{2} x^{2}+3 A b \,e^{2} x +3 B a \,e^{2} x +6 B b d e x +2 A a \,e^{2}+A b d e +B a d e +2 B b \,d^{2}\right) \sqrt{\left(b x +a \right)^{2}}}{6 \left(e x +d \right)^{3} \left(b x +a \right) e^{3}}"," ",0,"-1/6*(6*B*b*e^2*x^2+3*A*b*e^2*x+3*B*a*e^2*x+6*B*b*d*e*x+2*A*a*e^2+A*b*d*e+B*a*d*e+2*B*b*d^2)*((b*x+a)^2)^(1/2)/(e*x+d)^3/e^3/(b*x+a)","A"
1717,1,86,119,0.046000," ","int((B*x+A)*((b*x+a)^2)^(1/2)/(e*x+d)^5,x)","-\frac{\left(6 B b \,e^{2} x^{2}+4 A b \,e^{2} x +4 B a \,e^{2} x +4 B b d e x +3 A a \,e^{2}+A b d e +B a d e +B b \,d^{2}\right) \sqrt{\left(b x +a \right)^{2}}}{12 \left(e x +d \right)^{4} \left(b x +a \right) e^{3}}"," ",0,"-1/12/e^3*(6*B*b*e^2*x^2+4*A*b*e^2*x+4*B*a*e^2*x+4*B*b*d*e*x+3*A*a*e^2+A*b*d*e+B*a*d*e+B*b*d^2)*((b*x+a)^2)^(1/2)/(e*x+d)^4/(b*x+a)","A"
1718,1,89,119,0.046000," ","int((B*x+A)*((b*x+a)^2)^(1/2)/(e*x+d)^6,x)","-\frac{\left(20 B b \,e^{2} x^{2}+15 A b \,e^{2} x +15 B a \,e^{2} x +10 B b d e x +12 A a \,e^{2}+3 A b d e +3 B a d e +2 B b \,d^{2}\right) \sqrt{\left(b x +a \right)^{2}}}{60 \left(e x +d \right)^{5} \left(b x +a \right) e^{3}}"," ",0,"-1/60/e^3*(20*B*b*e^2*x^2+15*A*b*e^2*x+15*B*a*e^2*x+10*B*b*d*e*x+12*A*a*e^2+3*A*b*d*e+3*B*a*d*e+2*B*b*d^2)*((b*x+a)^2)^(1/2)/(e*x+d)^5/(b*x+a)","A"
1719,1,88,119,0.047000," ","int((B*x+A)*((b*x+a)^2)^(1/2)/(e*x+d)^7,x)","-\frac{\left(15 B b \,e^{2} x^{2}+12 A b \,e^{2} x +12 B a \,e^{2} x +6 B b d e x +10 A a \,e^{2}+2 A b d e +2 B a d e +B b \,d^{2}\right) \sqrt{\left(b x +a \right)^{2}}}{60 \left(e x +d \right)^{6} \left(b x +a \right) e^{3}}"," ",0,"-1/60/e^3*(15*B*b*e^2*x^2+12*A*b*e^2*x+12*B*a*e^2*x+6*B*b*d*e*x+10*A*a*e^2+2*A*b*d*e+2*B*a*d*e+B*b*d^2)*((b*x+a)^2)^(1/2)/(e*x+d)^6/(b*x+a)","A"
1720,1,676,233,0.052000," ","int((B*x+A)*(e*x+d)^5*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(252 b^{3} B \,e^{5} x^{9}+280 x^{8} A \,b^{3} e^{5}+840 x^{8} B a \,b^{2} e^{5}+1400 x^{8} b^{3} B d \,e^{4}+945 x^{7} A a \,b^{2} e^{5}+1575 x^{7} A \,b^{3} d \,e^{4}+945 x^{7} B \,a^{2} b \,e^{5}+4725 x^{7} B a \,b^{2} d \,e^{4}+3150 x^{7} b^{3} B \,d^{2} e^{3}+1080 x^{6} A \,a^{2} b \,e^{5}+5400 x^{6} A a \,b^{2} d \,e^{4}+3600 x^{6} A \,b^{3} d^{2} e^{3}+360 x^{6} B \,a^{3} e^{5}+5400 x^{6} B \,a^{2} b d \,e^{4}+10800 x^{6} B a \,b^{2} d^{2} e^{3}+3600 x^{6} b^{3} B \,d^{3} e^{2}+420 x^{5} A \,a^{3} e^{5}+6300 x^{5} A \,a^{2} b d \,e^{4}+12600 x^{5} A a \,b^{2} d^{2} e^{3}+4200 x^{5} A \,b^{3} d^{3} e^{2}+2100 x^{5} B \,a^{3} d \,e^{4}+12600 x^{5} B \,a^{2} b \,d^{2} e^{3}+12600 x^{5} B a \,b^{2} d^{3} e^{2}+2100 x^{5} b^{3} B \,d^{4} e +2520 x^{4} A \,a^{3} d \,e^{4}+15120 x^{4} A \,a^{2} b \,d^{2} e^{3}+15120 x^{4} A a \,b^{2} d^{3} e^{2}+2520 x^{4} A \,b^{3} d^{4} e +5040 x^{4} B \,a^{3} d^{2} e^{3}+15120 x^{4} B \,a^{2} b \,d^{3} e^{2}+7560 x^{4} B a \,b^{2} d^{4} e +504 x^{4} b^{3} B \,d^{5}+6300 x^{3} A \,a^{3} d^{2} e^{3}+18900 x^{3} A \,a^{2} b \,d^{3} e^{2}+9450 x^{3} A a \,b^{2} d^{4} e +630 x^{3} A \,b^{3} d^{5}+6300 x^{3} B \,a^{3} d^{3} e^{2}+9450 x^{3} B \,a^{2} b \,d^{4} e +1890 x^{3} B a \,b^{2} d^{5}+8400 x^{2} A \,a^{3} d^{3} e^{2}+12600 x^{2} A \,a^{2} b \,d^{4} e +2520 x^{2} A a \,b^{2} d^{5}+4200 x^{2} B \,a^{3} d^{4} e +2520 x^{2} B \,a^{2} b \,d^{5}+6300 x A \,a^{3} d^{4} e +3780 x A \,a^{2} b \,d^{5}+1260 x B \,a^{3} d^{5}+2520 A \,a^{3} d^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} x}{2520 \left(b x +a \right)^{3}}"," ",0,"1/2520*x*(252*B*b^3*e^5*x^9+280*A*b^3*e^5*x^8+840*B*a*b^2*e^5*x^8+1400*B*b^3*d*e^4*x^8+945*A*a*b^2*e^5*x^7+1575*A*b^3*d*e^4*x^7+945*B*a^2*b*e^5*x^7+4725*B*a*b^2*d*e^4*x^7+3150*B*b^3*d^2*e^3*x^7+1080*A*a^2*b*e^5*x^6+5400*A*a*b^2*d*e^4*x^6+3600*A*b^3*d^2*e^3*x^6+360*B*a^3*e^5*x^6+5400*B*a^2*b*d*e^4*x^6+10800*B*a*b^2*d^2*e^3*x^6+3600*B*b^3*d^3*e^2*x^6+420*A*a^3*e^5*x^5+6300*A*a^2*b*d*e^4*x^5+12600*A*a*b^2*d^2*e^3*x^5+4200*A*b^3*d^3*e^2*x^5+2100*B*a^3*d*e^4*x^5+12600*B*a^2*b*d^2*e^3*x^5+12600*B*a*b^2*d^3*e^2*x^5+2100*B*b^3*d^4*e*x^5+2520*A*a^3*d*e^4*x^4+15120*A*a^2*b*d^2*e^3*x^4+15120*A*a*b^2*d^3*e^2*x^4+2520*A*b^3*d^4*e*x^4+5040*B*a^3*d^2*e^3*x^4+15120*B*a^2*b*d^3*e^2*x^4+7560*B*a*b^2*d^4*e*x^4+504*B*b^3*d^5*x^4+6300*A*a^3*d^2*e^3*x^3+18900*A*a^2*b*d^3*e^2*x^3+9450*A*a*b^2*d^4*e*x^3+630*A*b^3*d^5*x^3+6300*B*a^3*d^3*e^2*x^3+9450*B*a^2*b*d^4*e*x^3+1890*B*a*b^2*d^5*x^3+8400*A*a^3*d^3*e^2*x^2+12600*A*a^2*b*d^4*e*x^2+2520*A*a*b^2*d^5*x^2+4200*B*a^3*d^4*e*x^2+2520*B*a^2*b*d^5*x^2+6300*A*a^3*d^4*e*x+3780*A*a^2*b*d^5*x+1260*B*a^3*d^5*x+2520*A*a^3*d^5)*((b*x+a)^2)^(3/2)/(b*x+a)^3","B"
1721,1,552,233,0.052000," ","int((B*x+A)*(e*x+d)^4*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(280 b^{3} B \,e^{4} x^{8}+315 x^{7} A \,b^{3} e^{4}+945 x^{7} B a \,b^{2} e^{4}+1260 x^{7} b^{3} B d \,e^{3}+1080 x^{6} A a \,b^{2} e^{4}+1440 x^{6} A \,b^{3} d \,e^{3}+1080 x^{6} B \,a^{2} b \,e^{4}+4320 x^{6} B a \,b^{2} d \,e^{3}+2160 x^{6} b^{3} B \,d^{2} e^{2}+1260 x^{5} A \,a^{2} b \,e^{4}+5040 x^{5} A a \,b^{2} d \,e^{3}+2520 x^{5} A \,b^{3} d^{2} e^{2}+420 x^{5} B \,a^{3} e^{4}+5040 x^{5} B \,a^{2} b d \,e^{3}+7560 x^{5} B a \,b^{2} d^{2} e^{2}+1680 x^{5} b^{3} B \,d^{3} e +504 x^{4} A \,a^{3} e^{4}+6048 x^{4} A \,a^{2} b d \,e^{3}+9072 x^{4} A a \,b^{2} d^{2} e^{2}+2016 x^{4} A \,b^{3} d^{3} e +2016 x^{4} B \,a^{3} d \,e^{3}+9072 x^{4} B \,a^{2} b \,d^{2} e^{2}+6048 x^{4} B a \,b^{2} d^{3} e +504 x^{4} b^{3} B \,d^{4}+2520 x^{3} A \,a^{3} d \,e^{3}+11340 x^{3} A \,a^{2} b \,d^{2} e^{2}+7560 x^{3} A a \,b^{2} d^{3} e +630 x^{3} A \,b^{3} d^{4}+3780 x^{3} B \,a^{3} d^{2} e^{2}+7560 x^{3} B \,a^{2} b \,d^{3} e +1890 x^{3} B a \,b^{2} d^{4}+5040 x^{2} A \,a^{3} d^{2} e^{2}+10080 x^{2} A \,a^{2} b \,d^{3} e +2520 x^{2} A a \,b^{2} d^{4}+3360 x^{2} B \,a^{3} d^{3} e +2520 x^{2} B \,a^{2} b \,d^{4}+5040 x A \,a^{3} d^{3} e +3780 x A \,a^{2} b \,d^{4}+1260 x B \,a^{3} d^{4}+2520 A \,a^{3} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} x}{2520 \left(b x +a \right)^{3}}"," ",0,"1/2520*x*(280*B*b^3*e^4*x^8+315*A*b^3*e^4*x^7+945*B*a*b^2*e^4*x^7+1260*B*b^3*d*e^3*x^7+1080*A*a*b^2*e^4*x^6+1440*A*b^3*d*e^3*x^6+1080*B*a^2*b*e^4*x^6+4320*B*a*b^2*d*e^3*x^6+2160*B*b^3*d^2*e^2*x^6+1260*A*a^2*b*e^4*x^5+5040*A*a*b^2*d*e^3*x^5+2520*A*b^3*d^2*e^2*x^5+420*B*a^3*e^4*x^5+5040*B*a^2*b*d*e^3*x^5+7560*B*a*b^2*d^2*e^2*x^5+1680*B*b^3*d^3*e*x^5+504*A*a^3*e^4*x^4+6048*A*a^2*b*d*e^3*x^4+9072*A*a*b^2*d^2*e^2*x^4+2016*A*b^3*d^3*e*x^4+2016*B*a^3*d*e^3*x^4+9072*B*a^2*b*d^2*e^2*x^4+6048*B*a*b^2*d^3*e*x^4+504*B*b^3*d^4*x^4+2520*A*a^3*d*e^3*x^3+11340*A*a^2*b*d^2*e^2*x^3+7560*A*a*b^2*d^3*e*x^3+630*A*b^3*d^4*x^3+3780*B*a^3*d^2*e^2*x^3+7560*B*a^2*b*d^3*e*x^3+1890*B*a*b^2*d^4*x^3+5040*A*a^3*d^2*e^2*x^2+10080*A*a^2*b*d^3*e*x^2+2520*A*a*b^2*d^4*x^2+3360*B*a^3*d^3*e*x^2+2520*B*a^2*b*d^4*x^2+5040*A*a^3*d^3*e*x+3780*A*a^2*b*d^4*x+1260*B*a^3*d^4*x+2520*A*a^3*d^4)*((b*x+a)^2)^(3/2)/(b*x+a)^3","B"
1722,1,428,194,0.054000," ","int((B*x+A)*(e*x+d)^3*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(35 B \,e^{3} b^{3} x^{7}+40 x^{6} A \,b^{3} e^{3}+120 x^{6} B \,e^{3} a \,b^{2}+120 x^{6} B \,b^{3} d \,e^{2}+140 x^{5} A a \,b^{2} e^{3}+140 x^{5} A \,b^{3} d \,e^{2}+140 x^{5} B \,e^{3} a^{2} b +420 x^{5} B a \,b^{2} d \,e^{2}+140 x^{5} B \,b^{3} d^{2} e +168 x^{4} A \,a^{2} b \,e^{3}+504 x^{4} A a \,b^{2} d \,e^{2}+168 x^{4} A \,b^{3} d^{2} e +56 x^{4} B \,a^{3} e^{3}+504 x^{4} B \,a^{2} b d \,e^{2}+504 x^{4} B a \,b^{2} d^{2} e +56 x^{4} B \,b^{3} d^{3}+70 x^{3} A \,a^{3} e^{3}+630 x^{3} A \,a^{2} b d \,e^{2}+630 x^{3} A a \,b^{2} d^{2} e +70 x^{3} A \,d^{3} b^{3}+210 x^{3} B \,a^{3} d \,e^{2}+630 x^{3} B \,a^{2} b \,d^{2} e +210 x^{3} B a \,b^{2} d^{3}+280 A \,a^{3} d \,e^{2} x^{2}+840 A \,a^{2} b \,d^{2} e \,x^{2}+280 A a \,b^{2} d^{3} x^{2}+280 B \,a^{3} d^{2} e \,x^{2}+280 B \,a^{2} b \,d^{3} x^{2}+420 x A \,a^{3} d^{2} e +420 x A \,d^{3} a^{2} b +140 x \,a^{3} B \,d^{3}+280 A \,d^{3} a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} x}{280 \left(b x +a \right)^{3}}"," ",0,"1/280*x*(35*B*b^3*e^3*x^7+40*A*b^3*e^3*x^6+120*B*a*b^2*e^3*x^6+120*B*b^3*d*e^2*x^6+140*A*a*b^2*e^3*x^5+140*A*b^3*d*e^2*x^5+140*B*a^2*b*e^3*x^5+420*B*a*b^2*d*e^2*x^5+140*B*b^3*d^2*e*x^5+168*A*a^2*b*e^3*x^4+504*A*a*b^2*d*e^2*x^4+168*A*b^3*d^2*e*x^4+56*B*a^3*e^3*x^4+504*B*a^2*b*d*e^2*x^4+504*B*a*b^2*d^2*e*x^4+56*B*b^3*d^3*x^4+70*A*a^3*e^3*x^3+630*A*a^2*b*d*e^2*x^3+630*A*a*b^2*d^2*e*x^3+70*A*b^3*d^3*x^3+210*B*a^3*d*e^2*x^3+630*B*a^2*b*d^2*e*x^3+210*B*a*b^2*d^3*x^3+280*A*a^3*d*e^2*x^2+840*A*a^2*b*d^2*e*x^2+280*A*a*b^2*d^3*x^2+280*B*a^3*d^2*e*x^2+280*B*a^2*b*d^3*x^2+420*A*a^3*d^2*e*x+420*A*a^2*b*d^3*x+140*B*a^3*d^3*x+280*A*a^3*d^3)*((b*x+a)^2)^(3/2)/(b*x+a)^3","B"
1723,1,304,146,0.050000," ","int((B*x+A)*(e*x+d)^2*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(60 B \,b^{3} e^{2} x^{6}+70 x^{5} A \,b^{3} e^{2}+210 x^{5} B \,e^{2} a \,b^{2}+140 x^{5} B \,b^{3} d e +252 x^{4} A a \,b^{2} e^{2}+168 x^{4} A \,b^{3} d e +252 x^{4} B \,e^{2} a^{2} b +504 x^{4} B a \,b^{2} d e +84 x^{4} B \,b^{3} d^{2}+315 x^{3} A \,a^{2} b \,e^{2}+630 x^{3} A a \,b^{2} d e +105 x^{3} A \,d^{2} b^{3}+105 x^{3} B \,e^{2} a^{3}+630 x^{3} B \,a^{2} b d e +315 x^{3} B a \,b^{2} d^{2}+140 x^{2} A \,a^{3} e^{2}+840 x^{2} A \,a^{2} b d e +420 x^{2} A \,d^{2} a \,b^{2}+280 x^{2} B \,a^{3} d e +420 x^{2} B \,a^{2} b \,d^{2}+420 x A \,a^{3} d e +630 x A \,d^{2} a^{2} b +210 x B \,a^{3} d^{2}+420 A \,d^{2} a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} x}{420 \left(b x +a \right)^{3}}"," ",0,"1/420*x*(60*B*b^3*e^2*x^6+70*A*b^3*e^2*x^5+210*B*a*b^2*e^2*x^5+140*B*b^3*d*e*x^5+252*A*a*b^2*e^2*x^4+168*A*b^3*d*e*x^4+252*B*a^2*b*e^2*x^4+504*B*a*b^2*d*e*x^4+84*B*b^3*d^2*x^4+315*A*a^2*b*e^2*x^3+630*A*a*b^2*d*e*x^3+105*A*b^3*d^2*x^3+105*B*a^3*e^2*x^3+630*B*a^2*b*d*e*x^3+315*B*a*b^2*d^2*x^3+140*A*a^3*e^2*x^2+840*A*a^2*b*d*e*x^2+420*A*a*b^2*d^2*x^2+280*B*a^3*d*e*x^2+420*B*a^2*b*d^2*x^2+420*A*a^3*d*e*x+630*A*a^2*b*d^2*x+210*B*a^3*d^2*x+420*A*a^3*d^2)*((b*x+a)^2)^(3/2)/(b*x+a)^3","B"
1724,1,180,96,0.053000," ","int((B*x+A)*(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(10 B \,b^{3} e \,x^{5}+12 x^{4} A \,b^{3} e +36 x^{4} B e a \,b^{2}+12 x^{4} B \,b^{3} d +45 x^{3} A a \,b^{2} e +15 x^{3} A d \,b^{3}+45 x^{3} B e \,a^{2} b +45 x^{3} B a \,b^{2} d +60 x^{2} A \,a^{2} b e +60 x^{2} A d a \,b^{2}+20 x^{2} B e \,a^{3}+60 x^{2} B \,a^{2} b d +30 x A \,a^{3} e +90 x A d \,a^{2} b +30 x B \,a^{3} d +60 A d \,a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} x}{60 \left(b x +a \right)^{3}}"," ",0,"1/60*x*(10*B*b^3*e*x^5+12*A*b^3*e*x^4+36*B*a*b^2*e*x^4+12*B*b^3*d*x^4+45*A*a*b^2*e*x^3+15*A*b^3*d*x^3+45*B*a^2*b*e*x^3+45*B*a*b^2*d*x^3+60*A*a^2*b*e*x^2+60*A*a*b^2*d*x^2+20*B*a^3*e*x^2+60*B*a^2*b*d*x^2+30*A*a^3*e*x+90*A*a^2*b*d*x+30*B*a^3*d*x+60*A*a^3*d)*((b*x+a)^2)^(3/2)/(b*x+a)^3","A"
1725,1,90,61,0.041000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(4 b^{3} B \,x^{4}+5 A \,b^{3} x^{3}+15 x^{3} B a \,b^{2}+20 A a \,b^{2} x^{2}+20 B \,a^{2} b \,x^{2}+30 x A \,a^{2} b +10 B \,a^{3} x +20 A \,a^{3}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} x}{20 \left(b x +a \right)^{3}}"," ",0,"1/20*x*(4*B*b^3*x^4+5*A*b^3*x^3+15*B*a*b^2*x^3+20*A*a*b^2*x^2+20*B*a^2*b*x^2+30*A*a^2*b*x+10*B*a^3*x+20*A*a^3)*((b*x+a)^2)^(3/2)/(b*x+a)^3","A"
1726,1,358,175,0.058000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d),x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} \left(3 B \,b^{3} e^{4} x^{4}+4 A \,b^{3} e^{4} x^{3}+12 B a \,b^{2} e^{4} x^{3}-4 B \,b^{3} d \,e^{3} x^{3}+18 A a \,b^{2} e^{4} x^{2}-6 A \,b^{3} d \,e^{3} x^{2}+18 B \,a^{2} b \,e^{4} x^{2}-18 B a \,b^{2} d \,e^{3} x^{2}+6 B \,b^{3} d^{2} e^{2} x^{2}+12 A \,a^{3} e^{4} \ln \left(e x +d \right)-36 A \,a^{2} b d \,e^{3} \ln \left(e x +d \right)+36 A \,a^{2} b \,e^{4} x +36 A a \,b^{2} d^{2} e^{2} \ln \left(e x +d \right)-36 A a \,b^{2} d \,e^{3} x -12 A \,b^{3} d^{3} e \ln \left(e x +d \right)+12 A \,b^{3} d^{2} e^{2} x -12 B \,a^{3} d \,e^{3} \ln \left(e x +d \right)+12 B \,a^{3} e^{4} x +36 B \,a^{2} b \,d^{2} e^{2} \ln \left(e x +d \right)-36 B \,a^{2} b d \,e^{3} x -36 B a \,b^{2} d^{3} e \ln \left(e x +d \right)+36 B a \,b^{2} d^{2} e^{2} x +12 B \,b^{3} d^{4} \ln \left(e x +d \right)-12 B \,b^{3} d^{3} e x \right)}{12 \left(b x +a \right)^{3} e^{5}}"," ",0,"1/12*((b*x+a)^2)^(3/2)*(3*B*x^4*b^3*e^4+4*A*x^3*b^3*e^4+12*B*x^3*a*b^2*e^4-4*B*x^3*b^3*d*e^3+18*A*x^2*a*b^2*e^4-6*A*x^2*b^3*d*e^3+18*B*x^2*a^2*b*e^4-18*B*x^2*a*b^2*d*e^3+6*B*x^2*b^3*d^2*e^2+12*A*ln(e*x+d)*a^3*e^4-36*A*ln(e*x+d)*a^2*b*d*e^3+36*A*ln(e*x+d)*a*b^2*d^2*e^2-12*A*ln(e*x+d)*b^3*d^3*e+36*A*x*a^2*b*e^4-36*A*x*a*b^2*d*e^3+12*A*x*b^3*d^2*e^2-12*B*ln(e*x+d)*a^3*d*e^3+36*B*ln(e*x+d)*a^2*b*d^2*e^2-36*B*ln(e*x+d)*a*b^2*d^3*e+12*B*ln(e*x+d)*b^3*d^4+12*B*x*a^3*e^4-36*B*x*a^2*b*d*e^3+36*B*x*a*b^2*d^2*e^2-12*B*x*b^3*d^3*e)/(b*x+a)^3/e^5","B"
1727,1,540,226,0.066000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^2,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} \left(2 B \,b^{3} e^{4} x^{4}+3 A \,b^{3} e^{4} x^{3}+9 B a \,b^{2} e^{4} x^{3}-4 B \,b^{3} d \,e^{3} x^{3}+18 A \,a^{2} b \,e^{4} x \ln \left(e x +d \right)-36 A a \,b^{2} d \,e^{3} x \ln \left(e x +d \right)+18 A a \,b^{2} e^{4} x^{2}+18 A \,b^{3} d^{2} e^{2} x \ln \left(e x +d \right)-9 A \,b^{3} d \,e^{3} x^{2}+6 B \,a^{3} e^{4} x \ln \left(e x +d \right)-36 B \,a^{2} b d \,e^{3} x \ln \left(e x +d \right)+18 B \,a^{2} b \,e^{4} x^{2}+54 B a \,b^{2} d^{2} e^{2} x \ln \left(e x +d \right)-27 B a \,b^{2} d \,e^{3} x^{2}-24 B \,b^{3} d^{3} e x \ln \left(e x +d \right)+12 B \,b^{3} d^{2} e^{2} x^{2}+18 A \,a^{2} b d \,e^{3} \ln \left(e x +d \right)-36 A a \,b^{2} d^{2} e^{2} \ln \left(e x +d \right)+18 A a \,b^{2} d \,e^{3} x +18 A \,b^{3} d^{3} e \ln \left(e x +d \right)-12 A \,b^{3} d^{2} e^{2} x +6 B \,a^{3} d \,e^{3} \ln \left(e x +d \right)-36 B \,a^{2} b \,d^{2} e^{2} \ln \left(e x +d \right)+18 B \,a^{2} b d \,e^{3} x +54 B a \,b^{2} d^{3} e \ln \left(e x +d \right)-36 B a \,b^{2} d^{2} e^{2} x -24 B \,b^{3} d^{4} \ln \left(e x +d \right)+18 B \,b^{3} d^{3} e x -6 A \,a^{3} e^{4}+18 A \,a^{2} b d \,e^{3}-18 A a \,b^{2} d^{2} e^{2}+6 A \,b^{3} d^{3} e +6 B \,a^{3} d \,e^{3}-18 B \,a^{2} b \,d^{2} e^{2}+18 B a \,b^{2} d^{3} e -6 B \,b^{3} d^{4}\right)}{6 \left(b x +a \right)^{3} \left(e x +d \right) e^{5}}"," ",0,"1/6*((b*x+a)^2)^(3/2)*(18*B*a^2*b*d*e^3*x-36*B*a*b^2*d^2*e^2*x+54*B*a*b^2*d^3*e*ln(e*x+d)+18*A*a^2*b*d*e^3*ln(e*x+d)-36*A*a*b^2*d^2*e^2*ln(e*x+d)+18*A*a*b^2*d*e^3*x-36*B*a^2*b*d^2*e^2*ln(e*x+d)-27*B*a*b^2*d*e^3*x^2+6*A*b^3*d^3*e-6*A*a^3*e^4-6*B*b^3*d^4+9*B*a*b^2*e^4*x^3-4*B*b^3*d*e^3*x^3+18*A*a*b^2*e^4*x^2-9*A*b^3*d*e^3*x^2+18*B*a^2*b*e^4*x^2+12*B*b^3*d^2*e^2*x^2+18*A*b^3*d^3*e*ln(e*x+d)+6*B*d*e^3*a^3+2*B*b^3*e^4*x^4+3*A*b^3*e^4*x^3+18*B*a*b^2*d^3*e-36*A*ln(e*x+d)*x*a*b^2*d*e^3-36*B*ln(e*x+d)*x*a^2*b*d*e^3+54*B*ln(e*x+d)*x*a*b^2*d^2*e^2-18*B*a^2*b*d^2*e^2-18*A*a*b^2*d^2*e^2+18*A*d*e^3*a^2*b+18*A*ln(e*x+d)*x*a^2*b*e^4+18*A*ln(e*x+d)*x*b^3*d^2*e^2-24*B*ln(e*x+d)*x*b^3*d^3*e-12*A*b^3*d^2*e^2*x+6*B*a^3*d*e^3*ln(e*x+d)+18*B*b^3*d^3*e*x+6*B*ln(e*x+d)*x*a^3*e^4-24*B*b^3*d^4*ln(e*x+d))/(b*x+a)^3/e^5/(e*x+d)","B"
1728,1,566,221,0.066000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^3,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} \left(B \,b^{3} e^{4} x^{4}+6 A a \,b^{2} e^{4} x^{2} \ln \left(e x +d \right)-6 A \,b^{3} d \,e^{3} x^{2} \ln \left(e x +d \right)+2 A \,b^{3} e^{4} x^{3}+6 B \,a^{2} b \,e^{4} x^{2} \ln \left(e x +d \right)-18 B a \,b^{2} d \,e^{3} x^{2} \ln \left(e x +d \right)+6 B a \,b^{2} e^{4} x^{3}+12 B \,b^{3} d^{2} e^{2} x^{2} \ln \left(e x +d \right)-4 B \,b^{3} d \,e^{3} x^{3}+12 A a \,b^{2} d \,e^{3} x \ln \left(e x +d \right)-12 A \,b^{3} d^{2} e^{2} x \ln \left(e x +d \right)+4 A \,b^{3} d \,e^{3} x^{2}+12 B \,a^{2} b d \,e^{3} x \ln \left(e x +d \right)-36 B a \,b^{2} d^{2} e^{2} x \ln \left(e x +d \right)+12 B a \,b^{2} d \,e^{3} x^{2}+24 B \,b^{3} d^{3} e x \ln \left(e x +d \right)-11 B \,b^{3} d^{2} e^{2} x^{2}-6 A \,a^{2} b \,e^{4} x +6 A a \,b^{2} d^{2} e^{2} \ln \left(e x +d \right)+12 A a \,b^{2} d \,e^{3} x -6 A \,b^{3} d^{3} e \ln \left(e x +d \right)-4 A \,b^{3} d^{2} e^{2} x -2 B \,a^{3} e^{4} x +6 B \,a^{2} b \,d^{2} e^{2} \ln \left(e x +d \right)+12 B \,a^{2} b d \,e^{3} x -18 B a \,b^{2} d^{3} e \ln \left(e x +d \right)-12 B a \,b^{2} d^{2} e^{2} x +12 B \,b^{3} d^{4} \ln \left(e x +d \right)+2 B \,b^{3} d^{3} e x -A \,a^{3} e^{4}-3 A \,a^{2} b d \,e^{3}+9 A a \,b^{2} d^{2} e^{2}-5 A \,b^{3} d^{3} e -B \,a^{3} d \,e^{3}+9 B \,a^{2} b \,d^{2} e^{2}-15 B a \,b^{2} d^{3} e +7 B \,b^{3} d^{4}\right)}{2 \left(b x +a \right)^{3} \left(e x +d \right)^{2} e^{5}}"," ",0,"1/2*((b*x+a)^2)^(3/2)*(12*B*a^2*b*d*e^3*x-12*B*a*b^2*d^2*e^2*x-18*B*a*b^2*d^3*e*ln(e*x+d)+6*A*a*b^2*d^2*e^2*ln(e*x+d)+12*A*a*b^2*d*e^3*x+6*B*a^2*b*d^2*e^2*ln(e*x+d)-18*B*ln(e*x+d)*x^2*a*b^2*d*e^3+12*B*a*b^2*d*e^3*x^2-5*A*b^3*d^3*e-A*a^3*e^4+7*B*b^3*d^4+6*B*a*b^2*e^4*x^3-4*B*b^3*d*e^3*x^3+4*A*b^3*d*e^3*x^2-11*B*b^3*d^2*e^2*x^2-6*A*b^3*d^3*e*ln(e*x+d)-B*a^3*d*e^3+B*b^3*e^4*x^4+2*A*b^3*e^4*x^3-15*B*a*b^2*d^3*e+12*A*a*b^2*d*e^3*x*ln(e*x+d)+12*B*a^2*b*d*e^3*x*ln(e*x+d)-36*B*a*b^2*d^2*e^2*x*ln(e*x+d)+9*B*a^2*b*d^2*e^2+9*A*a*b^2*d^2*e^2-3*A*a^2*b*d*e^3-12*A*b^3*d^2*e^2*x*ln(e*x+d)+24*B*b^3*d^3*e*x*ln(e*x+d)-6*A*a^2*b*e^4*x-4*A*b^3*d^2*e^2*x+2*B*b^3*d^3*e*x-6*A*ln(e*x+d)*x^2*b^3*d*e^3+12*B*b^3*d^4*ln(e*x+d)-2*B*a^3*e^4*x+6*B*ln(e*x+d)*x^2*a^2*b*e^4+12*B*ln(e*x+d)*x^2*b^3*d^2*e^2+6*A*ln(e*x+d)*x^2*a*b^2*e^4)/(b*x+a)^3/e^5/(e*x+d)^2","B"
1729,1,512,225,0.062000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^4,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} \left(6 A \,b^{3} e^{4} x^{3} \ln \left(e x +d \right)+18 B a \,b^{2} e^{4} x^{3} \ln \left(e x +d \right)-24 B \,b^{3} d \,e^{3} x^{3} \ln \left(e x +d \right)+6 B \,b^{3} e^{4} x^{4}+18 A \,b^{3} d \,e^{3} x^{2} \ln \left(e x +d \right)+54 B a \,b^{2} d \,e^{3} x^{2} \ln \left(e x +d \right)-72 B \,b^{3} d^{2} e^{2} x^{2} \ln \left(e x +d \right)+18 B \,b^{3} d \,e^{3} x^{3}-18 A a \,b^{2} e^{4} x^{2}+18 A \,b^{3} d^{2} e^{2} x \ln \left(e x +d \right)+18 A \,b^{3} d \,e^{3} x^{2}-18 B \,a^{2} b \,e^{4} x^{2}+54 B a \,b^{2} d^{2} e^{2} x \ln \left(e x +d \right)+54 B a \,b^{2} d \,e^{3} x^{2}-72 B \,b^{3} d^{3} e x \ln \left(e x +d \right)-18 B \,b^{3} d^{2} e^{2} x^{2}-9 A \,a^{2} b \,e^{4} x -18 A a \,b^{2} d \,e^{3} x +6 A \,b^{3} d^{3} e \ln \left(e x +d \right)+27 A \,b^{3} d^{2} e^{2} x -3 B \,a^{3} e^{4} x -18 B \,a^{2} b d \,e^{3} x +18 B a \,b^{2} d^{3} e \ln \left(e x +d \right)+81 B a \,b^{2} d^{2} e^{2} x -24 B \,b^{3} d^{4} \ln \left(e x +d \right)-54 B \,b^{3} d^{3} e x -2 A \,a^{3} e^{4}-3 A \,a^{2} b d \,e^{3}-6 A a \,b^{2} d^{2} e^{2}+11 A \,b^{3} d^{3} e -B \,a^{3} d \,e^{3}-6 B \,a^{2} b \,d^{2} e^{2}+33 B a \,b^{2} d^{3} e -26 B \,b^{3} d^{4}\right)}{6 \left(b x +a \right)^{3} \left(e x +d \right)^{3} e^{5}}"," ",0,"1/6*((b*x+a)^2)^(3/2)*(-18*B*a^2*b*d*e^3*x+81*B*a*b^2*d^2*e^2*x+18*B*a*b^2*d^3*e*ln(e*x+d)-18*A*a*b^2*d*e^3*x+54*B*a*b^2*d*e^3*x^2*ln(e*x+d)+54*B*a*b^2*d*e^3*x^2+11*A*b^3*d^3*e-2*A*a^3*e^4-26*B*b^3*d^4+18*B*b^3*d*e^3*x^3-18*A*a*b^2*e^4*x^2+18*A*b^3*d*e^3*x^2-18*B*a^2*b*e^4*x^2-18*B*b^3*d^2*e^2*x^2+6*A*b^3*d^3*e*ln(e*x+d)-B*a^3*d*e^3+6*B*b^3*e^4*x^4+33*B*a*b^2*d^3*e+54*B*a*b^2*d^2*e^2*x*ln(e*x+d)-6*B*a^2*b*d^2*e^2-6*A*a*b^2*d^2*e^2-3*A*a^2*b*d*e^3+18*A*b^3*d^2*e^2*x*ln(e*x+d)-72*B*b^3*d^3*e*x*ln(e*x+d)-9*A*a^2*b*e^4*x+27*A*b^3*d^2*e^2*x-54*B*b^3*d^3*e*x+18*A*b^3*d*e^3*x^2*ln(e*x+d)-24*B*b^3*d^4*ln(e*x+d)-3*B*a^3*e^4*x+18*B*ln(e*x+d)*x^3*a*b^2*e^4-24*B*ln(e*x+d)*x^3*b^3*d*e^3-72*B*b^3*d^2*e^2*x^2*ln(e*x+d)+6*A*ln(e*x+d)*x^3*b^3*e^4)/(b*x+a)^3/e^5/(e*x+d)^3","B"
1730,1,394,196,0.065000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^5,x)","-\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} \left(-12 B \,b^{3} e^{4} x^{4} \ln \left(e x +d \right)-48 B \,b^{3} d \,e^{3} x^{3} \ln \left(e x +d \right)+12 A \,b^{3} e^{4} x^{3}+36 B a \,b^{2} e^{4} x^{3}-72 B \,b^{3} d^{2} e^{2} x^{2} \ln \left(e x +d \right)-48 B \,b^{3} d \,e^{3} x^{3}+18 A a \,b^{2} e^{4} x^{2}+18 A \,b^{3} d \,e^{3} x^{2}+18 B \,a^{2} b \,e^{4} x^{2}+54 B a \,b^{2} d \,e^{3} x^{2}-48 B \,b^{3} d^{3} e x \ln \left(e x +d \right)-108 B \,b^{3} d^{2} e^{2} x^{2}+12 A \,a^{2} b \,e^{4} x +12 A a \,b^{2} d \,e^{3} x +12 A \,b^{3} d^{2} e^{2} x +4 B \,a^{3} e^{4} x +12 B \,a^{2} b d \,e^{3} x +36 B a \,b^{2} d^{2} e^{2} x -12 B \,b^{3} d^{4} \ln \left(e x +d \right)-88 B \,b^{3} d^{3} e x +3 A \,a^{3} e^{4}+3 A \,a^{2} b d \,e^{3}+3 A a \,b^{2} d^{2} e^{2}+3 A \,b^{3} d^{3} e +B \,a^{3} d \,e^{3}+3 B \,a^{2} b \,d^{2} e^{2}+9 B a \,b^{2} d^{3} e -25 B \,b^{3} d^{4}\right)}{12 \left(b x +a \right)^{3} \left(e x +d \right)^{4} e^{5}}"," ",0,"-1/12*((b*x+a)^2)^(3/2)*(12*B*a^2*b*d*e^3*x+36*B*a*b^2*d^2*e^2*x+12*A*a*b^2*d*e^3*x+54*B*a*b^2*d*e^3*x^2+3*A*b^3*d^3*e+3*A*a^3*e^4-25*B*b^3*d^4+36*B*a*b^2*e^4*x^3-48*B*b^3*d*e^3*x^3+18*A*a*b^2*e^4*x^2+18*A*b^3*d*e^3*x^2+18*B*a^2*b*e^4*x^2-108*B*b^3*d^2*e^2*x^2+B*a^3*d*e^3+12*A*b^3*e^4*x^3+9*B*a*b^2*d^3*e+3*B*a^2*b*d^2*e^2+3*A*a*b^2*d^2*e^2-12*B*ln(e*x+d)*x^4*b^3*e^4+3*A*a^2*b*d*e^3-48*B*b^3*d^3*e*x*ln(e*x+d)+12*A*a^2*b*e^4*x+12*A*b^3*d^2*e^2*x-88*B*b^3*d^3*e*x-12*B*b^3*d^4*ln(e*x+d)+4*B*a^3*e^4*x-48*B*b^3*d*e^3*x^3*ln(e*x+d)-72*B*b^3*d^2*e^2*x^2*ln(e*x+d))/(b*x+a)^3/e^5/(e*x+d)^4","B"
1731,1,315,89,0.056000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^6,x)","-\frac{\left(20 B \,b^{3} e^{4} x^{4}+10 A \,b^{3} e^{4} x^{3}+30 B a \,b^{2} e^{4} x^{3}+40 B \,b^{3} d \,e^{3} x^{3}+20 A a \,b^{2} e^{4} x^{2}+10 A \,b^{3} d \,e^{3} x^{2}+20 B \,a^{2} b \,e^{4} x^{2}+30 B a \,b^{2} d \,e^{3} x^{2}+40 B \,b^{3} d^{2} e^{2} x^{2}+15 A \,a^{2} b \,e^{4} x +10 A a \,b^{2} d \,e^{3} x +5 A \,b^{3} d^{2} e^{2} x +5 B \,a^{3} e^{4} x +10 B \,a^{2} b d \,e^{3} x +15 B a \,b^{2} d^{2} e^{2} x +20 B \,b^{3} d^{3} e x +4 A \,a^{3} e^{4}+3 A \,a^{2} b d \,e^{3}+2 A a \,b^{2} d^{2} e^{2}+A \,b^{3} d^{3} e +B \,a^{3} d \,e^{3}+2 B \,a^{2} b \,d^{2} e^{2}+3 B a \,b^{2} d^{3} e +4 B \,b^{3} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{20 \left(e x +d \right)^{5} \left(b x +a \right)^{3} e^{5}}"," ",0,"-1/20*(20*B*b^3*e^4*x^4+10*A*b^3*e^4*x^3+30*B*a*b^2*e^4*x^3+40*B*b^3*d*e^3*x^3+20*A*a*b^2*e^4*x^2+10*A*b^3*d*e^3*x^2+20*B*a^2*b*e^4*x^2+30*B*a*b^2*d*e^3*x^2+40*B*b^3*d^2*e^2*x^2+15*A*a^2*b*e^4*x+10*A*a*b^2*d*e^3*x+5*A*b^3*d^2*e^2*x+5*B*a^3*e^4*x+10*B*a^2*b*d*e^3*x+15*B*a*b^2*d^2*e^2*x+20*B*b^3*d^3*e*x+4*A*a^3*e^4+3*A*a^2*b*d*e^3+2*A*a*b^2*d^2*e^2+A*b^3*d^3*e+B*a^3*d*e^3+2*B*a^2*b*d^2*e^2+3*B*a*b^2*d^3*e+4*B*b^3*d^4)*((b*x+a)^2)^(3/2)/(e*x+d)^5/e^5/(b*x+a)^3","B"
1732,1,316,154,0.052000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^7,x)","-\frac{\left(30 B \,b^{3} e^{4} x^{4}+20 A \,b^{3} e^{4} x^{3}+60 B a \,b^{2} e^{4} x^{3}+40 B \,b^{3} d \,e^{3} x^{3}+45 A a \,b^{2} e^{4} x^{2}+15 A \,b^{3} d \,e^{3} x^{2}+45 B \,a^{2} b \,e^{4} x^{2}+45 B a \,b^{2} d \,e^{3} x^{2}+30 B \,b^{3} d^{2} e^{2} x^{2}+36 A \,a^{2} b \,e^{4} x +18 A a \,b^{2} d \,e^{3} x +6 A \,b^{3} d^{2} e^{2} x +12 B \,a^{3} e^{4} x +18 B \,a^{2} b d \,e^{3} x +18 B a \,b^{2} d^{2} e^{2} x +12 B \,b^{3} d^{3} e x +10 A \,a^{3} e^{4}+6 A \,a^{2} b d \,e^{3}+3 A a \,b^{2} d^{2} e^{2}+A \,b^{3} d^{3} e +2 B \,a^{3} d \,e^{3}+3 B \,a^{2} b \,d^{2} e^{2}+3 B a \,b^{2} d^{3} e +2 B \,b^{3} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{60 \left(e x +d \right)^{6} \left(b x +a \right)^{3} e^{5}}"," ",0,"-1/60/e^5*(30*B*b^3*e^4*x^4+20*A*b^3*e^4*x^3+60*B*a*b^2*e^4*x^3+40*B*b^3*d*e^3*x^3+45*A*a*b^2*e^4*x^2+15*A*b^3*d*e^3*x^2+45*B*a^2*b*e^4*x^2+45*B*a*b^2*d*e^3*x^2+30*B*b^3*d^2*e^2*x^2+36*A*a^2*b*e^4*x+18*A*a*b^2*d*e^3*x+6*A*b^3*d^2*e^2*x+12*B*a^3*e^4*x+18*B*a^2*b*d*e^3*x+18*B*a*b^2*d^2*e^2*x+12*B*b^3*d^3*e*x+10*A*a^3*e^4+6*A*a^2*b*d*e^3+3*A*a*b^2*d^2*e^2+A*b^3*d^3*e+2*B*a^3*d*e^3+3*B*a^2*b*d^2*e^2+3*B*a*b^2*d^3*e+2*B*b^3*d^4)*((b*x+a)^2)^(3/2)/(e*x+d)^6/(b*x+a)^3","B"
1733,1,317,233,0.067000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^8,x)","-\frac{\left(140 B \,b^{3} e^{4} x^{4}+105 A \,b^{3} e^{4} x^{3}+315 B a \,b^{2} e^{4} x^{3}+140 B \,b^{3} d \,e^{3} x^{3}+252 A a \,b^{2} e^{4} x^{2}+63 A \,b^{3} d \,e^{3} x^{2}+252 B \,a^{2} b \,e^{4} x^{2}+189 B a \,b^{2} d \,e^{3} x^{2}+84 B \,b^{3} d^{2} e^{2} x^{2}+210 A \,a^{2} b \,e^{4} x +84 A a \,b^{2} d \,e^{3} x +21 A \,b^{3} d^{2} e^{2} x +70 B \,a^{3} e^{4} x +84 B \,a^{2} b d \,e^{3} x +63 B a \,b^{2} d^{2} e^{2} x +28 B \,b^{3} d^{3} e x +60 A \,a^{3} e^{4}+30 A \,a^{2} b d \,e^{3}+12 A a \,b^{2} d^{2} e^{2}+3 A \,b^{3} d^{3} e +10 B \,a^{3} d \,e^{3}+12 B \,a^{2} b \,d^{2} e^{2}+9 B a \,b^{2} d^{3} e +4 B \,b^{3} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{420 \left(e x +d \right)^{7} \left(b x +a \right)^{3} e^{5}}"," ",0,"-1/420/e^5*(140*B*b^3*e^4*x^4+105*A*b^3*e^4*x^3+315*B*a*b^2*e^4*x^3+140*B*b^3*d*e^3*x^3+252*A*a*b^2*e^4*x^2+63*A*b^3*d*e^3*x^2+252*B*a^2*b*e^4*x^2+189*B*a*b^2*d*e^3*x^2+84*B*b^3*d^2*e^2*x^2+210*A*a^2*b*e^4*x+84*A*a*b^2*d*e^3*x+21*A*b^3*d^2*e^2*x+70*B*a^3*e^4*x+84*B*a^2*b*d*e^3*x+63*B*a*b^2*d^2*e^2*x+28*B*b^3*d^3*e*x+60*A*a^3*e^4+30*A*a^2*b*d*e^3+12*A*a*b^2*d^2*e^2+3*A*b^3*d^3*e+10*B*a^3*d*e^3+12*B*a^2*b*d^2*e^2+9*B*a*b^2*d^3*e+4*B*b^3*d^4)*((b*x+a)^2)^(3/2)/(e*x+d)^7/(b*x+a)^3","A"
1734,1,315,233,0.056000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^9,x)","-\frac{\left(70 B \,b^{3} e^{4} x^{4}+56 A \,b^{3} e^{4} x^{3}+168 B a \,b^{2} e^{4} x^{3}+56 B \,b^{3} d \,e^{3} x^{3}+140 A a \,b^{2} e^{4} x^{2}+28 A \,b^{3} d \,e^{3} x^{2}+140 B \,a^{2} b \,e^{4} x^{2}+84 B a \,b^{2} d \,e^{3} x^{2}+28 B \,b^{3} d^{2} e^{2} x^{2}+120 A \,a^{2} b \,e^{4} x +40 A a \,b^{2} d \,e^{3} x +8 A \,b^{3} d^{2} e^{2} x +40 B \,a^{3} e^{4} x +40 B \,a^{2} b d \,e^{3} x +24 B a \,b^{2} d^{2} e^{2} x +8 B \,b^{3} d^{3} e x +35 A \,a^{3} e^{4}+15 A \,a^{2} b d \,e^{3}+5 A a \,b^{2} d^{2} e^{2}+A \,b^{3} d^{3} e +5 B \,a^{3} d \,e^{3}+5 B \,a^{2} b \,d^{2} e^{2}+3 B a \,b^{2} d^{3} e +B \,b^{3} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{280 \left(e x +d \right)^{8} \left(b x +a \right)^{3} e^{5}}"," ",0,"-1/280/e^5*(70*B*b^3*e^4*x^4+56*A*b^3*e^4*x^3+168*B*a*b^2*e^4*x^3+56*B*b^3*d*e^3*x^3+140*A*a*b^2*e^4*x^2+28*A*b^3*d*e^3*x^2+140*B*a^2*b*e^4*x^2+84*B*a*b^2*d*e^3*x^2+28*B*b^3*d^2*e^2*x^2+120*A*a^2*b*e^4*x+40*A*a*b^2*d*e^3*x+8*A*b^3*d^2*e^2*x+40*B*a^3*e^4*x+40*B*a^2*b*d*e^3*x+24*B*a*b^2*d^2*e^2*x+8*B*b^3*d^3*e*x+35*A*a^3*e^4+15*A*a^2*b*d*e^3+5*A*a*b^2*d^2*e^2+A*b^3*d^3*e+5*B*a^3*d*e^3+5*B*a^2*b*d^2*e^2+3*B*a*b^2*d^3*e+B*b^3*d^4)*((b*x+a)^2)^(3/2)/(e*x+d)^8/(b*x+a)^3","A"
1735,1,317,233,0.057000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^10,x)","-\frac{\left(504 B \,b^{3} e^{4} x^{4}+420 A \,b^{3} e^{4} x^{3}+1260 B a \,b^{2} e^{4} x^{3}+336 B \,b^{3} d \,e^{3} x^{3}+1080 A a \,b^{2} e^{4} x^{2}+180 A \,b^{3} d \,e^{3} x^{2}+1080 B \,a^{2} b \,e^{4} x^{2}+540 B a \,b^{2} d \,e^{3} x^{2}+144 B \,b^{3} d^{2} e^{2} x^{2}+945 A \,a^{2} b \,e^{4} x +270 A a \,b^{2} d \,e^{3} x +45 A \,b^{3} d^{2} e^{2} x +315 B \,a^{3} e^{4} x +270 B \,a^{2} b d \,e^{3} x +135 B a \,b^{2} d^{2} e^{2} x +36 B \,b^{3} d^{3} e x +280 A \,a^{3} e^{4}+105 A \,a^{2} b d \,e^{3}+30 A a \,b^{2} d^{2} e^{2}+5 A \,b^{3} d^{3} e +35 B \,a^{3} d \,e^{3}+30 B \,a^{2} b \,d^{2} e^{2}+15 B a \,b^{2} d^{3} e +4 B \,b^{3} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{2520 \left(e x +d \right)^{9} \left(b x +a \right)^{3} e^{5}}"," ",0,"-1/2520/e^5*(504*B*b^3*e^4*x^4+420*A*b^3*e^4*x^3+1260*B*a*b^2*e^4*x^3+336*B*b^3*d*e^3*x^3+1080*A*a*b^2*e^4*x^2+180*A*b^3*d*e^3*x^2+1080*B*a^2*b*e^4*x^2+540*B*a*b^2*d*e^3*x^2+144*B*b^3*d^2*e^2*x^2+945*A*a^2*b*e^4*x+270*A*a*b^2*d*e^3*x+45*A*b^3*d^2*e^2*x+315*B*a^3*e^4*x+270*B*a^2*b*d*e^3*x+135*B*a*b^2*d^2*e^2*x+36*B*b^3*d^3*e*x+280*A*a^3*e^4+105*A*a^2*b*d*e^3+30*A*a*b^2*d^2*e^2+5*A*b^3*d^3*e+35*B*a^3*d*e^3+30*B*a^2*b*d^2*e^2+15*B*a*b^2*d^3*e+4*B*b^3*d^4)*((b*x+a)^2)^(3/2)/(e*x+d)^9/(b*x+a)^3","A"
1736,1,317,233,0.049000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^11,x)","-\frac{\left(420 B \,b^{3} e^{4} x^{4}+360 A \,b^{3} e^{4} x^{3}+1080 B a \,b^{2} e^{4} x^{3}+240 B \,b^{3} d \,e^{3} x^{3}+945 A a \,b^{2} e^{4} x^{2}+135 A \,b^{3} d \,e^{3} x^{2}+945 B \,a^{2} b \,e^{4} x^{2}+405 B a \,b^{2} d \,e^{3} x^{2}+90 B \,b^{3} d^{2} e^{2} x^{2}+840 A \,a^{2} b \,e^{4} x +210 A a \,b^{2} d \,e^{3} x +30 A \,b^{3} d^{2} e^{2} x +280 B \,a^{3} e^{4} x +210 B \,a^{2} b d \,e^{3} x +90 B a \,b^{2} d^{2} e^{2} x +20 B \,b^{3} d^{3} e x +252 A \,a^{3} e^{4}+84 A \,a^{2} b d \,e^{3}+21 A a \,b^{2} d^{2} e^{2}+3 A \,b^{3} d^{3} e +28 B \,a^{3} d \,e^{3}+21 B \,a^{2} b \,d^{2} e^{2}+9 B a \,b^{2} d^{3} e +2 B \,b^{3} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{2520 \left(e x +d \right)^{10} \left(b x +a \right)^{3} e^{5}}"," ",0,"-1/2520/e^5*(420*B*b^3*e^4*x^4+360*A*b^3*e^4*x^3+1080*B*a*b^2*e^4*x^3+240*B*b^3*d*e^3*x^3+945*A*a*b^2*e^4*x^2+135*A*b^3*d*e^3*x^2+945*B*a^2*b*e^4*x^2+405*B*a*b^2*d*e^3*x^2+90*B*b^3*d^2*e^2*x^2+840*A*a^2*b*e^4*x+210*A*a*b^2*d*e^3*x+30*A*b^3*d^2*e^2*x+280*B*a^3*e^4*x+210*B*a^2*b*d*e^3*x+90*B*a*b^2*d^2*e^2*x+20*B*b^3*d^3*e*x+252*A*a^3*e^4+84*A*a^2*b*d*e^3+21*A*a*b^2*d^2*e^2+3*A*b^3*d^3*e+28*B*a^3*d*e^3+21*B*a^2*b*d^2*e^2+9*B*a*b^2*d^3*e+2*B*b^3*d^4)*((b*x+a)^2)^(3/2)/(e*x+d)^10/(b*x+a)^3","A"
1737,1,317,233,0.055000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^12,x)","-\frac{\left(1320 B \,b^{3} e^{4} x^{4}+1155 A \,b^{3} e^{4} x^{3}+3465 B a \,b^{2} e^{4} x^{3}+660 B \,b^{3} d \,e^{3} x^{3}+3080 A a \,b^{2} e^{4} x^{2}+385 A \,b^{3} d \,e^{3} x^{2}+3080 B \,a^{2} b \,e^{4} x^{2}+1155 B a \,b^{2} d \,e^{3} x^{2}+220 B \,b^{3} d^{2} e^{2} x^{2}+2772 A \,a^{2} b \,e^{4} x +616 A a \,b^{2} d \,e^{3} x +77 A \,b^{3} d^{2} e^{2} x +924 B \,a^{3} e^{4} x +616 B \,a^{2} b d \,e^{3} x +231 B a \,b^{2} d^{2} e^{2} x +44 B \,b^{3} d^{3} e x +840 A \,a^{3} e^{4}+252 A \,a^{2} b d \,e^{3}+56 A a \,b^{2} d^{2} e^{2}+7 A \,b^{3} d^{3} e +84 B \,a^{3} d \,e^{3}+56 B \,a^{2} b \,d^{2} e^{2}+21 B a \,b^{2} d^{3} e +4 B \,b^{3} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{9240 \left(e x +d \right)^{11} \left(b x +a \right)^{3} e^{5}}"," ",0,"-1/9240/e^5*(1320*B*b^3*e^4*x^4+1155*A*b^3*e^4*x^3+3465*B*a*b^2*e^4*x^3+660*B*b^3*d*e^3*x^3+3080*A*a*b^2*e^4*x^2+385*A*b^3*d*e^3*x^2+3080*B*a^2*b*e^4*x^2+1155*B*a*b^2*d*e^3*x^2+220*B*b^3*d^2*e^2*x^2+2772*A*a^2*b*e^4*x+616*A*a*b^2*d*e^3*x+77*A*b^3*d^2*e^2*x+924*B*a^3*e^4*x+616*B*a^2*b*d*e^3*x+231*B*a*b^2*d^2*e^2*x+44*B*b^3*d^3*e*x+840*A*a^3*e^4+252*A*a^2*b*d*e^3+56*A*a*b^2*d^2*e^2+7*A*b^3*d^3*e+84*B*a^3*d*e^3+56*B*a^2*b*d^2*e^2+21*B*a*b^2*d^3*e+4*B*b^3*d^4)*((b*x+a)^2)^(3/2)/(e*x+d)^11/(b*x+a)^3","A"
1738,1,1264,347,0.053000," ","int((B*x+A)*(e*x+d)^6*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(5544 B \,b^{5} e^{6} x^{12}+6006 x^{11} A \,b^{5} e^{6}+30030 x^{11} B a \,b^{4} e^{6}+36036 x^{11} B \,b^{5} d \,e^{5}+32760 x^{10} A a \,b^{4} e^{6}+39312 x^{10} A \,b^{5} d \,e^{5}+65520 x^{10} B \,a^{2} b^{3} e^{6}+196560 x^{10} B a \,b^{4} d \,e^{5}+98280 x^{10} B \,b^{5} d^{2} e^{4}+72072 x^{9} A \,a^{2} b^{3} e^{6}+216216 x^{9} A a \,b^{4} d \,e^{5}+108108 x^{9} A \,b^{5} d^{2} e^{4}+72072 x^{9} B \,a^{3} b^{2} e^{6}+432432 x^{9} B \,a^{2} b^{3} d \,e^{5}+540540 x^{9} B a \,b^{4} d^{2} e^{4}+144144 x^{9} B \,b^{5} d^{3} e^{3}+80080 x^{8} A \,a^{3} b^{2} e^{6}+480480 x^{8} A \,a^{2} b^{3} d \,e^{5}+600600 x^{8} A a \,b^{4} d^{2} e^{4}+160160 x^{8} A \,b^{5} d^{3} e^{3}+40040 x^{8} B \,a^{4} b \,e^{6}+480480 x^{8} B \,a^{3} b^{2} d \,e^{5}+1201200 x^{8} B \,a^{2} b^{3} d^{2} e^{4}+800800 x^{8} B a \,b^{4} d^{3} e^{3}+120120 x^{8} B \,b^{5} d^{4} e^{2}+45045 x^{7} A \,a^{4} b \,e^{6}+540540 x^{7} A \,a^{3} b^{2} d \,e^{5}+1351350 x^{7} A \,a^{2} b^{3} d^{2} e^{4}+900900 x^{7} A a \,b^{4} d^{3} e^{3}+135135 x^{7} A \,b^{5} d^{4} e^{2}+9009 x^{7} B \,a^{5} e^{6}+270270 x^{7} B \,a^{4} b d \,e^{5}+1351350 x^{7} B \,a^{3} b^{2} d^{2} e^{4}+1801800 x^{7} B \,a^{2} b^{3} d^{3} e^{3}+675675 x^{7} B a \,b^{4} d^{4} e^{2}+54054 x^{7} B \,b^{5} d^{5} e +10296 x^{6} A \,a^{5} e^{6}+308880 x^{6} A \,a^{4} b d \,e^{5}+1544400 x^{6} A \,a^{3} b^{2} d^{2} e^{4}+2059200 x^{6} A \,a^{2} b^{3} d^{3} e^{3}+772200 x^{6} A a \,b^{4} d^{4} e^{2}+61776 x^{6} A \,b^{5} d^{5} e +61776 x^{6} B \,a^{5} d \,e^{5}+772200 x^{6} B \,a^{4} b \,d^{2} e^{4}+2059200 x^{6} B \,a^{3} b^{2} d^{3} e^{3}+1544400 x^{6} B \,a^{2} b^{3} d^{4} e^{2}+308880 x^{6} B a \,b^{4} d^{5} e +10296 x^{6} B \,b^{5} d^{6}+72072 x^{5} A \,a^{5} d \,e^{5}+900900 x^{5} A \,a^{4} b \,d^{2} e^{4}+2402400 x^{5} A \,a^{3} b^{2} d^{3} e^{3}+1801800 x^{5} A \,a^{2} b^{3} d^{4} e^{2}+360360 x^{5} A a \,b^{4} d^{5} e +12012 x^{5} A \,b^{5} d^{6}+180180 x^{5} B \,a^{5} d^{2} e^{4}+1201200 x^{5} B \,a^{4} b \,d^{3} e^{3}+1801800 x^{5} B \,a^{3} b^{2} d^{4} e^{2}+720720 x^{5} B \,a^{2} b^{3} d^{5} e +60060 x^{5} B a \,b^{4} d^{6}+216216 A \,a^{5} d^{2} e^{4} x^{4}+1441440 A \,a^{4} b \,d^{3} e^{3} x^{4}+2162160 A \,a^{3} b^{2} d^{4} e^{2} x^{4}+864864 A \,a^{2} b^{3} d^{5} e \,x^{4}+72072 A a \,b^{4} d^{6} x^{4}+288288 B \,a^{5} d^{3} e^{3} x^{4}+1081080 B \,a^{4} b \,d^{4} e^{2} x^{4}+864864 B \,a^{3} b^{2} d^{5} e \,x^{4}+144144 B \,a^{2} b^{3} d^{6} x^{4}+360360 x^{3} A \,a^{5} d^{3} e^{3}+1351350 x^{3} A \,a^{4} b \,d^{4} e^{2}+1081080 x^{3} A \,a^{3} b^{2} d^{5} e +180180 x^{3} A \,a^{2} b^{3} d^{6}+270270 x^{3} B \,a^{5} d^{4} e^{2}+540540 x^{3} B \,a^{4} b \,d^{5} e +180180 x^{3} B \,a^{3} b^{2} d^{6}+360360 x^{2} A \,a^{5} d^{4} e^{2}+720720 x^{2} A \,a^{4} b \,d^{5} e +240240 x^{2} A \,a^{3} b^{2} d^{6}+144144 x^{2} B \,a^{5} d^{5} e +120120 x^{2} B \,a^{4} b \,d^{6}+216216 x A \,a^{5} d^{5} e +180180 x A \,a^{4} b \,d^{6}+36036 x B \,a^{5} d^{6}+72072 A \,a^{5} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x}{72072 \left(b x +a \right)^{5}}"," ",0,"1/72072*x*(5544*B*b^5*e^6*x^12+6006*A*b^5*e^6*x^11+30030*B*a*b^4*e^6*x^11+36036*B*b^5*d*e^5*x^11+32760*A*a*b^4*e^6*x^10+39312*A*b^5*d*e^5*x^10+65520*B*a^2*b^3*e^6*x^10+196560*B*a*b^4*d*e^5*x^10+98280*B*b^5*d^2*e^4*x^10+72072*A*a^2*b^3*e^6*x^9+216216*A*a*b^4*d*e^5*x^9+108108*A*b^5*d^2*e^4*x^9+72072*B*a^3*b^2*e^6*x^9+432432*B*a^2*b^3*d*e^5*x^9+540540*B*a*b^4*d^2*e^4*x^9+144144*B*b^5*d^3*e^3*x^9+80080*A*a^3*b^2*e^6*x^8+480480*A*a^2*b^3*d*e^5*x^8+600600*A*a*b^4*d^2*e^4*x^8+160160*A*b^5*d^3*e^3*x^8+40040*B*a^4*b*e^6*x^8+480480*B*a^3*b^2*d*e^5*x^8+1201200*B*a^2*b^3*d^2*e^4*x^8+800800*B*a*b^4*d^3*e^3*x^8+120120*B*b^5*d^4*e^2*x^8+45045*A*a^4*b*e^6*x^7+540540*A*a^3*b^2*d*e^5*x^7+1351350*A*a^2*b^3*d^2*e^4*x^7+900900*A*a*b^4*d^3*e^3*x^7+135135*A*b^5*d^4*e^2*x^7+9009*B*a^5*e^6*x^7+270270*B*a^4*b*d*e^5*x^7+1351350*B*a^3*b^2*d^2*e^4*x^7+1801800*B*a^2*b^3*d^3*e^3*x^7+675675*B*a*b^4*d^4*e^2*x^7+54054*B*b^5*d^5*e*x^7+10296*A*a^5*e^6*x^6+308880*A*a^4*b*d*e^5*x^6+1544400*A*a^3*b^2*d^2*e^4*x^6+2059200*A*a^2*b^3*d^3*e^3*x^6+772200*A*a*b^4*d^4*e^2*x^6+61776*A*b^5*d^5*e*x^6+61776*B*a^5*d*e^5*x^6+772200*B*a^4*b*d^2*e^4*x^6+2059200*B*a^3*b^2*d^3*e^3*x^6+1544400*B*a^2*b^3*d^4*e^2*x^6+308880*B*a*b^4*d^5*e*x^6+10296*B*b^5*d^6*x^6+72072*A*a^5*d*e^5*x^5+900900*A*a^4*b*d^2*e^4*x^5+2402400*A*a^3*b^2*d^3*e^3*x^5+1801800*A*a^2*b^3*d^4*e^2*x^5+360360*A*a*b^4*d^5*e*x^5+12012*A*b^5*d^6*x^5+180180*B*a^5*d^2*e^4*x^5+1201200*B*a^4*b*d^3*e^3*x^5+1801800*B*a^3*b^2*d^4*e^2*x^5+720720*B*a^2*b^3*d^5*e*x^5+60060*B*a*b^4*d^6*x^5+216216*A*a^5*d^2*e^4*x^4+1441440*A*a^4*b*d^3*e^3*x^4+2162160*A*a^3*b^2*d^4*e^2*x^4+864864*A*a^2*b^3*d^5*e*x^4+72072*A*a*b^4*d^6*x^4+288288*B*a^5*d^3*e^3*x^4+1081080*B*a^4*b*d^4*e^2*x^4+864864*B*a^3*b^2*d^5*e*x^4+144144*B*a^2*b^3*d^6*x^4+360360*A*a^5*d^3*e^3*x^3+1351350*A*a^4*b*d^4*e^2*x^3+1081080*A*a^3*b^2*d^5*e*x^3+180180*A*a^2*b^3*d^6*x^3+270270*B*a^5*d^4*e^2*x^3+540540*B*a^4*b*d^5*e*x^3+180180*B*a^3*b^2*d^6*x^3+360360*A*a^5*d^4*e^2*x^2+720720*A*a^4*b*d^5*e*x^2+240240*A*a^3*b^2*d^6*x^2+144144*B*a^5*d^5*e*x^2+120120*B*a^4*b*d^6*x^2+216216*A*a^5*d^5*e*x+180180*A*a^4*b*d^6*x+36036*B*a^5*d^6*x+72072*A*a^5*d^6)*((b*x+a)^2)^(5/2)/(b*x+a)^5","B"
1739,1,1068,292,0.051000," ","int((B*x+A)*(e*x+d)^5*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(462 B \,e^{5} b^{5} x^{11}+504 x^{10} A \,b^{5} e^{5}+2520 x^{10} B \,e^{5} a \,b^{4}+2520 x^{10} B \,b^{5} d \,e^{4}+2772 x^{9} A a \,b^{4} e^{5}+2772 x^{9} A \,b^{5} d \,e^{4}+5544 x^{9} B \,e^{5} a^{2} b^{3}+13860 x^{9} B a \,b^{4} d \,e^{4}+5544 x^{9} B \,b^{5} d^{2} e^{3}+6160 x^{8} A \,a^{2} b^{3} e^{5}+15400 x^{8} A a \,b^{4} d \,e^{4}+6160 x^{8} A \,b^{5} d^{2} e^{3}+6160 x^{8} B \,e^{5} a^{3} b^{2}+30800 x^{8} B \,a^{2} b^{3} d \,e^{4}+30800 x^{8} B a \,b^{4} d^{2} e^{3}+6160 x^{8} B \,b^{5} d^{3} e^{2}+6930 x^{7} A \,a^{3} b^{2} e^{5}+34650 x^{7} A \,a^{2} b^{3} d \,e^{4}+34650 x^{7} A a \,b^{4} d^{2} e^{3}+6930 x^{7} A \,b^{5} d^{3} e^{2}+3465 x^{7} B \,e^{5} a^{4} b +34650 x^{7} B \,a^{3} b^{2} d \,e^{4}+69300 x^{7} B \,a^{2} b^{3} d^{2} e^{3}+34650 x^{7} B a \,b^{4} d^{3} e^{2}+3465 x^{7} B \,b^{5} d^{4} e +3960 x^{6} A \,a^{4} b \,e^{5}+39600 x^{6} A \,a^{3} b^{2} d \,e^{4}+79200 x^{6} A \,a^{2} b^{3} d^{2} e^{3}+39600 x^{6} A a \,b^{4} d^{3} e^{2}+3960 x^{6} A \,b^{5} d^{4} e +792 x^{6} B \,e^{5} a^{5}+19800 x^{6} B \,a^{4} b d \,e^{4}+79200 x^{6} B \,a^{3} b^{2} d^{2} e^{3}+79200 x^{6} B \,a^{2} b^{3} d^{3} e^{2}+19800 x^{6} B a \,b^{4} d^{4} e +792 x^{6} B \,b^{5} d^{5}+924 x^{5} A \,a^{5} e^{5}+23100 x^{5} A \,a^{4} b d \,e^{4}+92400 x^{5} A \,a^{3} b^{2} d^{2} e^{3}+92400 x^{5} A \,a^{2} b^{3} d^{3} e^{2}+23100 x^{5} A a \,b^{4} d^{4} e +924 x^{5} A \,d^{5} b^{5}+4620 x^{5} B \,a^{5} d \,e^{4}+46200 x^{5} B \,a^{4} b \,d^{2} e^{3}+92400 x^{5} B \,a^{3} b^{2} d^{3} e^{2}+46200 x^{5} B \,a^{2} b^{3} d^{4} e +4620 x^{5} B a \,b^{4} d^{5}+5544 A \,a^{5} d \,e^{4} x^{4}+55440 A \,a^{4} b \,d^{2} e^{3} x^{4}+110880 A \,a^{3} b^{2} d^{3} e^{2} x^{4}+55440 A \,a^{2} b^{3} d^{4} e \,x^{4}+5544 A a \,b^{4} d^{5} x^{4}+11088 B \,a^{5} d^{2} e^{3} x^{4}+55440 B \,a^{4} b \,d^{3} e^{2} x^{4}+55440 B \,a^{3} b^{2} d^{4} e \,x^{4}+11088 B \,a^{2} b^{3} d^{5} x^{4}+13860 x^{3} A \,a^{5} d^{2} e^{3}+69300 x^{3} A \,a^{4} b \,d^{3} e^{2}+69300 x^{3} A \,a^{3} b^{2} d^{4} e +13860 x^{3} A \,d^{5} a^{2} b^{3}+13860 x^{3} B \,a^{5} d^{3} e^{2}+34650 x^{3} B \,a^{4} b \,d^{4} e +13860 x^{3} B \,a^{3} b^{2} d^{5}+18480 x^{2} A \,a^{5} d^{3} e^{2}+46200 x^{2} A \,a^{4} b \,d^{4} e +18480 x^{2} A \,d^{5} a^{3} b^{2}+9240 x^{2} B \,a^{5} d^{4} e +9240 x^{2} B \,a^{4} b \,d^{5}+13860 x A \,a^{5} d^{4} e +13860 x A \,d^{5} a^{4} b +2772 x B \,a^{5} d^{5}+5544 A \,d^{5} a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x}{5544 \left(b x +a \right)^{5}}"," ",0,"1/5544*x*(462*B*b^5*e^5*x^11+504*A*b^5*e^5*x^10+2520*B*a*b^4*e^5*x^10+2520*B*b^5*d*e^4*x^10+2772*A*a*b^4*e^5*x^9+2772*A*b^5*d*e^4*x^9+5544*B*a^2*b^3*e^5*x^9+13860*B*a*b^4*d*e^4*x^9+5544*B*b^5*d^2*e^3*x^9+6160*A*a^2*b^3*e^5*x^8+15400*A*a*b^4*d*e^4*x^8+6160*A*b^5*d^2*e^3*x^8+6160*B*a^3*b^2*e^5*x^8+30800*B*a^2*b^3*d*e^4*x^8+30800*B*a*b^4*d^2*e^3*x^8+6160*B*b^5*d^3*e^2*x^8+6930*A*a^3*b^2*e^5*x^7+34650*A*a^2*b^3*d*e^4*x^7+34650*A*a*b^4*d^2*e^3*x^7+6930*A*b^5*d^3*e^2*x^7+3465*B*a^4*b*e^5*x^7+34650*B*a^3*b^2*d*e^4*x^7+69300*B*a^2*b^3*d^2*e^3*x^7+34650*B*a*b^4*d^3*e^2*x^7+3465*B*b^5*d^4*e*x^7+3960*A*a^4*b*e^5*x^6+39600*A*a^3*b^2*d*e^4*x^6+79200*A*a^2*b^3*d^2*e^3*x^6+39600*A*a*b^4*d^3*e^2*x^6+3960*A*b^5*d^4*e*x^6+792*B*a^5*e^5*x^6+19800*B*a^4*b*d*e^4*x^6+79200*B*a^3*b^2*d^2*e^3*x^6+79200*B*a^2*b^3*d^3*e^2*x^6+19800*B*a*b^4*d^4*e*x^6+792*B*b^5*d^5*x^6+924*A*a^5*e^5*x^5+23100*A*a^4*b*d*e^4*x^5+92400*A*a^3*b^2*d^2*e^3*x^5+92400*A*a^2*b^3*d^3*e^2*x^5+23100*A*a*b^4*d^4*e*x^5+924*A*b^5*d^5*x^5+4620*B*a^5*d*e^4*x^5+46200*B*a^4*b*d^2*e^3*x^5+92400*B*a^3*b^2*d^3*e^2*x^5+46200*B*a^2*b^3*d^4*e*x^5+4620*B*a*b^4*d^5*x^5+5544*A*a^5*d*e^4*x^4+55440*A*a^4*b*d^2*e^3*x^4+110880*A*a^3*b^2*d^3*e^2*x^4+55440*A*a^2*b^3*d^4*e*x^4+5544*A*a*b^4*d^5*x^4+11088*B*a^5*d^2*e^3*x^4+55440*B*a^4*b*d^3*e^2*x^4+55440*B*a^3*b^2*d^4*e*x^4+11088*B*a^2*b^3*d^5*x^4+13860*A*a^5*d^2*e^3*x^3+69300*A*a^4*b*d^3*e^2*x^3+69300*A*a^3*b^2*d^4*e*x^3+13860*A*a^2*b^3*d^5*x^3+13860*B*a^5*d^3*e^2*x^3+34650*B*a^4*b*d^4*e*x^3+13860*B*a^3*b^2*d^5*x^3+18480*A*a^5*d^3*e^2*x^2+46200*A*a^4*b*d^4*e*x^2+18480*A*a^3*b^2*d^5*x^2+9240*B*a^5*d^4*e*x^2+9240*B*a^4*b*d^5*x^2+13860*A*a^5*d^4*e*x+13860*A*a^4*b*d^5*x+2772*B*a^5*d^5*x+5544*A*a^5*d^5)*((b*x+a)^2)^(5/2)/(b*x+a)^5","B"
1740,1,872,246,0.053000," ","int((B*x+A)*(e*x+d)^4*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(1260 B \,b^{5} e^{4} x^{10}+1386 x^{9} A \,b^{5} e^{4}+6930 x^{9} B \,e^{4} a \,b^{4}+5544 x^{9} B \,b^{5} d \,e^{3}+7700 x^{8} A a \,b^{4} e^{4}+6160 x^{8} A \,b^{5} d \,e^{3}+15400 x^{8} B \,e^{4} a^{2} b^{3}+30800 x^{8} B a \,b^{4} d \,e^{3}+9240 x^{8} B \,b^{5} d^{2} e^{2}+17325 x^{7} A \,a^{2} b^{3} e^{4}+34650 x^{7} A a \,b^{4} d \,e^{3}+10395 x^{7} A \,b^{5} d^{2} e^{2}+17325 x^{7} B \,e^{4} a^{3} b^{2}+69300 x^{7} B \,a^{2} b^{3} d \,e^{3}+51975 x^{7} B a \,b^{4} d^{2} e^{2}+6930 x^{7} B \,b^{5} d^{3} e +19800 x^{6} A \,a^{3} b^{2} e^{4}+79200 x^{6} A \,a^{2} b^{3} d \,e^{3}+59400 x^{6} A a \,b^{4} d^{2} e^{2}+7920 x^{6} A \,b^{5} d^{3} e +9900 x^{6} B \,e^{4} a^{4} b +79200 x^{6} B \,a^{3} b^{2} d \,e^{3}+118800 x^{6} B \,a^{2} b^{3} d^{2} e^{2}+39600 x^{6} B a \,b^{4} d^{3} e +1980 x^{6} B \,b^{5} d^{4}+11550 x^{5} A \,a^{4} b \,e^{4}+92400 x^{5} A \,a^{3} b^{2} d \,e^{3}+138600 x^{5} A \,a^{2} b^{3} d^{2} e^{2}+46200 x^{5} A a \,b^{4} d^{3} e +2310 x^{5} A \,d^{4} b^{5}+2310 x^{5} B \,e^{4} a^{5}+46200 x^{5} B \,a^{4} b d \,e^{3}+138600 x^{5} B \,a^{3} b^{2} d^{2} e^{2}+92400 x^{5} B \,a^{2} b^{3} d^{3} e +11550 x^{5} B a \,b^{4} d^{4}+2772 x^{4} A \,a^{5} e^{4}+55440 x^{4} A \,a^{4} b d \,e^{3}+166320 x^{4} A \,a^{3} b^{2} d^{2} e^{2}+110880 x^{4} A \,a^{2} b^{3} d^{3} e +13860 x^{4} A \,d^{4} a \,b^{4}+11088 x^{4} B \,a^{5} d \,e^{3}+83160 x^{4} B \,a^{4} b \,d^{2} e^{2}+110880 x^{4} B \,a^{3} b^{2} d^{3} e +27720 x^{4} B \,a^{2} b^{3} d^{4}+13860 x^{3} A \,a^{5} d \,e^{3}+103950 x^{3} A \,a^{4} b \,d^{2} e^{2}+138600 x^{3} A \,a^{3} b^{2} d^{3} e +34650 x^{3} A \,d^{4} a^{2} b^{3}+20790 x^{3} B \,a^{5} d^{2} e^{2}+69300 x^{3} B \,a^{4} b \,d^{3} e +34650 x^{3} B \,a^{3} b^{2} d^{4}+27720 x^{2} A \,a^{5} d^{2} e^{2}+92400 x^{2} A \,a^{4} b \,d^{3} e +46200 x^{2} A \,d^{4} a^{3} b^{2}+18480 x^{2} B \,a^{5} d^{3} e +23100 x^{2} B \,a^{4} b \,d^{4}+27720 x A \,a^{5} d^{3} e +34650 x A \,d^{4} a^{4} b +6930 x B \,a^{5} d^{4}+13860 A \,d^{4} a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x}{13860 \left(b x +a \right)^{5}}"," ",0,"1/13860*x*(1260*B*b^5*e^4*x^10+1386*A*b^5*e^4*x^9+6930*B*a*b^4*e^4*x^9+5544*B*b^5*d*e^3*x^9+7700*A*a*b^4*e^4*x^8+6160*A*b^5*d*e^3*x^8+15400*B*a^2*b^3*e^4*x^8+30800*B*a*b^4*d*e^3*x^8+9240*B*b^5*d^2*e^2*x^8+17325*A*a^2*b^3*e^4*x^7+34650*A*a*b^4*d*e^3*x^7+10395*A*b^5*d^2*e^2*x^7+17325*B*a^3*b^2*e^4*x^7+69300*B*a^2*b^3*d*e^3*x^7+51975*B*a*b^4*d^2*e^2*x^7+6930*B*b^5*d^3*e*x^7+19800*A*a^3*b^2*e^4*x^6+79200*A*a^2*b^3*d*e^3*x^6+59400*A*a*b^4*d^2*e^2*x^6+7920*A*b^5*d^3*e*x^6+9900*B*a^4*b*e^4*x^6+79200*B*a^3*b^2*d*e^3*x^6+118800*B*a^2*b^3*d^2*e^2*x^6+39600*B*a*b^4*d^3*e*x^6+1980*B*b^5*d^4*x^6+11550*A*a^4*b*e^4*x^5+92400*A*a^3*b^2*d*e^3*x^5+138600*A*a^2*b^3*d^2*e^2*x^5+46200*A*a*b^4*d^3*e*x^5+2310*A*b^5*d^4*x^5+2310*B*a^5*e^4*x^5+46200*B*a^4*b*d*e^3*x^5+138600*B*a^3*b^2*d^2*e^2*x^5+92400*B*a^2*b^3*d^3*e*x^5+11550*B*a*b^4*d^4*x^5+2772*A*a^5*e^4*x^4+55440*A*a^4*b*d*e^3*x^4+166320*A*a^3*b^2*d^2*e^2*x^4+110880*A*a^2*b^3*d^3*e*x^4+13860*A*a*b^4*d^4*x^4+11088*B*a^5*d*e^3*x^4+83160*B*a^4*b*d^2*e^2*x^4+110880*B*a^3*b^2*d^3*e*x^4+27720*B*a^2*b^3*d^4*x^4+13860*A*a^5*d*e^3*x^3+103950*A*a^4*b*d^2*e^2*x^3+138600*A*a^3*b^2*d^3*e*x^3+34650*A*a^2*b^3*d^4*x^3+20790*B*a^5*d^2*e^2*x^3+69300*B*a^4*b*d^3*e*x^3+34650*B*a^3*b^2*d^4*x^3+27720*A*a^5*d^2*e^2*x^2+92400*A*a^4*b*d^3*e*x^2+46200*A*a^3*b^2*d^4*x^2+18480*B*a^5*d^3*e*x^2+23100*B*a^4*b*d^4*x^2+27720*A*a^5*d^3*e*x+34650*A*a^4*b*d^4*x+6930*B*a^5*d^4*x+13860*A*a^5*d^4)*((b*x+a)^2)^(5/2)/(b*x+a)^5","B"
1741,1,676,194,0.049000," ","int((B*x+A)*(e*x+d)^3*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(252 B \,e^{3} b^{5} x^{9}+280 x^{8} A \,b^{5} e^{3}+1400 x^{8} B \,e^{3} a \,b^{4}+840 x^{8} B \,b^{5} d \,e^{2}+1575 x^{7} A a \,b^{4} e^{3}+945 x^{7} A \,b^{5} d \,e^{2}+3150 x^{7} B \,e^{3} a^{2} b^{3}+4725 x^{7} B a \,b^{4} d \,e^{2}+945 x^{7} B \,b^{5} d^{2} e +3600 x^{6} A \,a^{2} b^{3} e^{3}+5400 x^{6} A a \,b^{4} d \,e^{2}+1080 x^{6} A \,b^{5} d^{2} e +3600 x^{6} B \,e^{3} a^{3} b^{2}+10800 x^{6} B \,a^{2} b^{3} d \,e^{2}+5400 x^{6} B a \,b^{4} d^{2} e +360 x^{6} B \,b^{5} d^{3}+4200 x^{5} A \,a^{3} b^{2} e^{3}+12600 x^{5} A \,a^{2} b^{3} d \,e^{2}+6300 x^{5} A a \,b^{4} d^{2} e +420 x^{5} A \,d^{3} b^{5}+2100 x^{5} B \,e^{3} a^{4} b +12600 x^{5} B \,a^{3} b^{2} d \,e^{2}+12600 x^{5} B \,a^{2} b^{3} d^{2} e +2100 x^{5} B a \,b^{4} d^{3}+2520 x^{4} A \,a^{4} b \,e^{3}+15120 x^{4} A \,a^{3} b^{2} d \,e^{2}+15120 x^{4} A \,a^{2} b^{3} d^{2} e +2520 x^{4} A \,d^{3} a \,b^{4}+504 x^{4} B \,e^{3} a^{5}+7560 x^{4} B \,a^{4} b d \,e^{2}+15120 x^{4} B \,a^{3} b^{2} d^{2} e +5040 x^{4} B \,a^{2} b^{3} d^{3}+630 x^{3} A \,a^{5} e^{3}+9450 x^{3} A \,a^{4} b d \,e^{2}+18900 x^{3} A \,a^{3} b^{2} d^{2} e +6300 x^{3} A \,d^{3} a^{2} b^{3}+1890 x^{3} B \,a^{5} d \,e^{2}+9450 x^{3} B \,a^{4} b \,d^{2} e +6300 x^{3} B \,a^{3} b^{2} d^{3}+2520 x^{2} A \,a^{5} d \,e^{2}+12600 x^{2} A \,a^{4} b \,d^{2} e +8400 x^{2} A \,d^{3} a^{3} b^{2}+2520 x^{2} B \,a^{5} d^{2} e +4200 x^{2} B \,a^{4} b \,d^{3}+3780 x A \,a^{5} d^{2} e +6300 x A \,d^{3} a^{4} b +1260 x B \,a^{5} d^{3}+2520 A \,d^{3} a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x}{2520 \left(b x +a \right)^{5}}"," ",0,"1/2520*x*(252*B*b^5*e^3*x^9+280*A*b^5*e^3*x^8+1400*B*a*b^4*e^3*x^8+840*B*b^5*d*e^2*x^8+1575*A*a*b^4*e^3*x^7+945*A*b^5*d*e^2*x^7+3150*B*a^2*b^3*e^3*x^7+4725*B*a*b^4*d*e^2*x^7+945*B*b^5*d^2*e*x^7+3600*A*a^2*b^3*e^3*x^6+5400*A*a*b^4*d*e^2*x^6+1080*A*b^5*d^2*e*x^6+3600*B*a^3*b^2*e^3*x^6+10800*B*a^2*b^3*d*e^2*x^6+5400*B*a*b^4*d^2*e*x^6+360*B*b^5*d^3*x^6+4200*A*a^3*b^2*e^3*x^5+12600*A*a^2*b^3*d*e^2*x^5+6300*A*a*b^4*d^2*e*x^5+420*A*b^5*d^3*x^5+2100*B*a^4*b*e^3*x^5+12600*B*a^3*b^2*d*e^2*x^5+12600*B*a^2*b^3*d^2*e*x^5+2100*B*a*b^4*d^3*x^5+2520*A*a^4*b*e^3*x^4+15120*A*a^3*b^2*d*e^2*x^4+15120*A*a^2*b^3*d^2*e*x^4+2520*A*a*b^4*d^3*x^4+504*B*a^5*e^3*x^4+7560*B*a^4*b*d*e^2*x^4+15120*B*a^3*b^2*d^2*e*x^4+5040*B*a^2*b^3*d^3*x^4+630*A*a^5*e^3*x^3+9450*A*a^4*b*d*e^2*x^3+18900*A*a^3*b^2*d^2*e*x^3+6300*A*a^2*b^3*d^3*x^3+1890*B*a^5*d*e^2*x^3+9450*B*a^4*b*d^2*e*x^3+6300*B*a^3*b^2*d^3*x^3+2520*A*a^5*d*e^2*x^2+12600*A*a^4*b*d^2*e*x^2+8400*A*a^3*b^2*d^3*x^2+2520*B*a^5*d^2*e*x^2+4200*B*a^4*b*d^3*x^2+3780*A*a^5*d^2*e*x+6300*A*a^4*b*d^3*x+1260*B*a^5*d^3*x+2520*A*a^5*d^3)*((b*x+a)^2)^(5/2)/(b*x+a)^5","B"
1742,1,480,146,0.052000," ","int((B*x+A)*(e*x+d)^2*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(56 B \,e^{2} b^{5} x^{8}+63 x^{7} A \,b^{5} e^{2}+315 x^{7} B \,e^{2} a \,b^{4}+126 x^{7} B \,b^{5} d e +360 x^{6} A a \,b^{4} e^{2}+144 x^{6} A \,b^{5} d e +720 x^{6} B \,e^{2} a^{2} b^{3}+720 x^{6} B a \,b^{4} d e +72 x^{6} B \,b^{5} d^{2}+840 x^{5} A \,a^{2} b^{3} e^{2}+840 x^{5} A a \,b^{4} d e +84 x^{5} A \,d^{2} b^{5}+840 x^{5} B \,e^{2} a^{3} b^{2}+1680 x^{5} B \,a^{2} b^{3} d e +420 x^{5} B a \,b^{4} d^{2}+1008 A \,a^{3} b^{2} e^{2} x^{4}+2016 A \,a^{2} b^{3} d e \,x^{4}+504 A a \,b^{4} d^{2} x^{4}+504 B \,a^{4} b \,e^{2} x^{4}+2016 B \,a^{3} b^{2} d e \,x^{4}+1008 B \,a^{2} b^{3} d^{2} x^{4}+630 x^{3} A \,a^{4} b \,e^{2}+2520 x^{3} A \,a^{3} b^{2} d e +1260 x^{3} A \,d^{2} a^{2} b^{3}+126 x^{3} B \,e^{2} a^{5}+1260 x^{3} B \,a^{4} b d e +1260 x^{3} B \,a^{3} b^{2} d^{2}+168 x^{2} A \,a^{5} e^{2}+1680 x^{2} A \,a^{4} b d e +1680 x^{2} A \,d^{2} a^{3} b^{2}+336 x^{2} B \,a^{5} d e +840 x^{2} B \,a^{4} b \,d^{2}+504 x A \,a^{5} d e +1260 x A \,d^{2} a^{4} b +252 x B \,a^{5} d^{2}+504 A \,d^{2} a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x}{504 \left(b x +a \right)^{5}}"," ",0,"1/504*x*(56*B*b^5*e^2*x^8+63*A*b^5*e^2*x^7+315*B*a*b^4*e^2*x^7+126*B*b^5*d*e*x^7+360*A*a*b^4*e^2*x^6+144*A*b^5*d*e*x^6+720*B*a^2*b^3*e^2*x^6+720*B*a*b^4*d*e*x^6+72*B*b^5*d^2*x^6+840*A*a^2*b^3*e^2*x^5+840*A*a*b^4*d*e*x^5+84*A*b^5*d^2*x^5+840*B*a^3*b^2*e^2*x^5+1680*B*a^2*b^3*d*e*x^5+420*B*a*b^4*d^2*x^5+1008*A*a^3*b^2*e^2*x^4+2016*A*a^2*b^3*d*e*x^4+504*A*a*b^4*d^2*x^4+504*B*a^4*b*e^2*x^4+2016*B*a^3*b^2*d*e*x^4+1008*B*a^2*b^3*d^2*x^4+630*A*a^4*b*e^2*x^3+2520*A*a^3*b^2*d*e*x^3+1260*A*a^2*b^3*d^2*x^3+126*B*a^5*e^2*x^3+1260*B*a^4*b*d*e*x^3+1260*B*a^3*b^2*d^2*x^3+168*A*a^5*e^2*x^2+1680*A*a^4*b*d*e*x^2+1680*A*a^3*b^2*d^2*x^2+336*B*a^5*d*e*x^2+840*B*a^4*b*d^2*x^2+504*A*a^5*d*e*x+1260*A*a^4*b*d^2*x+252*B*a^5*d^2*x+504*A*a^5*d^2)*((b*x+a)^2)^(5/2)/(b*x+a)^5","B"
1743,1,284,96,0.050000," ","int((B*x+A)*(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(21 B e \,b^{5} x^{7}+24 x^{6} A \,b^{5} e +120 x^{6} B e a \,b^{4}+24 x^{6} B \,b^{5} d +140 x^{5} A a \,b^{4} e +28 x^{5} A d \,b^{5}+280 x^{5} B e \,a^{2} b^{3}+140 x^{5} B a \,b^{4} d +336 A \,a^{2} b^{3} e \,x^{4}+168 A a \,b^{4} d \,x^{4}+336 B \,a^{3} b^{2} e \,x^{4}+336 B \,a^{2} b^{3} d \,x^{4}+420 x^{3} A \,a^{3} b^{2} e +420 x^{3} A d \,a^{2} b^{3}+210 x^{3} B e \,a^{4} b +420 x^{3} B \,a^{3} b^{2} d +280 x^{2} A \,a^{4} b e +560 x^{2} A d \,a^{3} b^{2}+56 x^{2} B e \,a^{5}+280 x^{2} B \,a^{4} b d +84 x A \,a^{5} e +420 x A d \,a^{4} b +84 x B \,a^{5} d +168 A d \,a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x}{168 \left(b x +a \right)^{5}}"," ",0,"1/168*x*(21*B*b^5*e*x^7+24*A*b^5*e*x^6+120*B*a*b^4*e*x^6+24*B*b^5*d*x^6+140*A*a*b^4*e*x^5+28*A*b^5*d*x^5+280*B*a^2*b^3*e*x^5+140*B*a*b^4*d*x^5+336*A*a^2*b^3*e*x^4+168*A*a*b^4*d*x^4+336*B*a^3*b^2*e*x^4+336*B*a^2*b^3*d*x^4+420*A*a^3*b^2*e*x^3+420*A*a^2*b^3*d*x^3+210*B*a^4*b*e*x^3+420*B*a^3*b^2*d*x^3+280*A*a^4*b*e*x^2+560*A*a^3*b^2*d*x^2+56*B*a^5*e*x^2+280*B*a^4*b*d*x^2+84*A*a^5*e*x+420*A*a^4*b*d*x+84*B*a^5*d*x+168*A*a^5*d)*((b*x+a)^2)^(5/2)/(b*x+a)^5","B"
1744,1,138,61,0.063000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(6 B \,b^{5} x^{6}+7 A \,b^{5} x^{5}+35 B a \,b^{4} x^{5}+42 A a \,b^{4} x^{4}+84 B \,a^{2} b^{3} x^{4}+105 A \,a^{2} b^{3} x^{3}+105 B \,a^{3} b^{2} x^{3}+140 A \,a^{3} b^{2} x^{2}+70 B \,a^{4} b \,x^{2}+105 A \,a^{4} b x +21 B \,a^{5} x +42 A \,a^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x}{42 \left(b x +a \right)^{5}}"," ",0,"1/42*x*(6*B*b^5*x^6+7*A*b^5*x^5+35*B*a*b^4*x^5+42*A*a*b^4*x^4+84*B*a^2*b^3*x^4+105*A*a^2*b^3*x^3+105*B*a^3*b^2*x^3+140*A*a^3*b^2*x^2+70*B*a^4*b*x^2+105*A*a^4*b*x+21*B*a^5*x+42*A*a^5)*((b*x+a)^2)^(5/2)/(b*x+a)^5","B"
1745,1,754,253,0.068000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d),x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} \left(10 B \,b^{5} e^{6} x^{6}+12 A \,b^{5} e^{6} x^{5}+60 B a \,b^{4} e^{6} x^{5}-12 B \,b^{5} d \,e^{5} x^{5}+75 A a \,b^{4} e^{6} x^{4}-15 A \,b^{5} d \,e^{5} x^{4}+150 B \,a^{2} b^{3} e^{6} x^{4}-75 B a \,b^{4} d \,e^{5} x^{4}+15 B \,b^{5} d^{2} e^{4} x^{4}+200 A \,a^{2} b^{3} e^{6} x^{3}-100 A a \,b^{4} d \,e^{5} x^{3}+20 A \,b^{5} d^{2} e^{4} x^{3}+200 B \,a^{3} b^{2} e^{6} x^{3}-200 B \,a^{2} b^{3} d \,e^{5} x^{3}+100 B a \,b^{4} d^{2} e^{4} x^{3}-20 B \,b^{5} d^{3} e^{3} x^{3}+300 A \,a^{3} b^{2} e^{6} x^{2}-300 A \,a^{2} b^{3} d \,e^{5} x^{2}+150 A a \,b^{4} d^{2} e^{4} x^{2}-30 A \,b^{5} d^{3} e^{3} x^{2}+150 B \,a^{4} b \,e^{6} x^{2}-300 B \,a^{3} b^{2} d \,e^{5} x^{2}+300 B \,a^{2} b^{3} d^{2} e^{4} x^{2}-150 B a \,b^{4} d^{3} e^{3} x^{2}+30 B \,b^{5} d^{4} e^{2} x^{2}+60 A \,a^{5} e^{6} \ln \left(e x +d \right)-300 A \,a^{4} b d \,e^{5} \ln \left(e x +d \right)+300 A \,a^{4} b \,e^{6} x +600 A \,a^{3} b^{2} d^{2} e^{4} \ln \left(e x +d \right)-600 A \,a^{3} b^{2} d \,e^{5} x -600 A \,a^{2} b^{3} d^{3} e^{3} \ln \left(e x +d \right)+600 A \,a^{2} b^{3} d^{2} e^{4} x +300 A a \,b^{4} d^{4} e^{2} \ln \left(e x +d \right)-300 A a \,b^{4} d^{3} e^{3} x -60 A \,b^{5} d^{5} e \ln \left(e x +d \right)+60 A \,b^{5} d^{4} e^{2} x -60 B \,a^{5} d \,e^{5} \ln \left(e x +d \right)+60 B \,a^{5} e^{6} x +300 B \,a^{4} b \,d^{2} e^{4} \ln \left(e x +d \right)-300 B \,a^{4} b d \,e^{5} x -600 B \,a^{3} b^{2} d^{3} e^{3} \ln \left(e x +d \right)+600 B \,a^{3} b^{2} d^{2} e^{4} x +600 B \,a^{2} b^{3} d^{4} e^{2} \ln \left(e x +d \right)-600 B \,a^{2} b^{3} d^{3} e^{3} x -300 B a \,b^{4} d^{5} e \ln \left(e x +d \right)+300 B a \,b^{4} d^{4} e^{2} x +60 B \,b^{5} d^{6} \ln \left(e x +d \right)-60 B \,b^{5} d^{5} e x \right)}{60 \left(b x +a \right)^{5} e^{7}}"," ",0,"1/60*((b*x+a)^2)^(5/2)*(300*A*ln(e*x+d)*a*b^4*d^4*e^2-300*B*x*a^4*b*d*e^5+600*B*x*a^3*b^2*d^2*e^4-600*B*x*a^2*b^3*d^3*e^3+300*B*x*a*b^4*d^4*e^2+600*B*ln(e*x+d)*a^2*b^3*d^4*e^2-300*B*ln(e*x+d)*a*b^4*d^5*e-300*A*ln(e*x+d)*a^4*b*d*e^5-300*A*x^2*a^2*b^3*d*e^5+150*A*x^2*a*b^4*d^2*e^4-60*A*ln(e*x+d)*b^5*d^5*e-60*B*ln(e*x+d)*a^5*d*e^5+300*A*x*a^4*b*e^6+60*A*x*b^5*d^4*e^2+200*A*x^3*a^2*b^3*e^6+300*B*ln(e*x+d)*a^4*b*d^2*e^4-600*B*ln(e*x+d)*a^3*b^2*d^3*e^3+600*A*ln(e*x+d)*a^3*b^2*d^2*e^4-600*A*ln(e*x+d)*a^2*b^3*d^3*e^3-75*B*x^4*a*b^4*d*e^5-200*B*x^3*a^2*b^3*d*e^5+100*B*x^3*a*b^4*d^2*e^4-600*A*x*a^3*b^2*d*e^5+600*A*x*a^2*b^3*d^2*e^4-300*A*x*a*b^4*d^3*e^3-300*B*x^2*a^3*b^2*d*e^5+20*A*x^3*b^5*d^2*e^4+200*B*x^3*a^3*b^2*e^6-20*B*x^3*b^5*d^3*e^3+300*A*x^2*a^3*b^2*e^6-30*A*x^2*b^5*d^3*e^3+150*B*x^2*a^4*b*e^6+30*B*x^2*b^5*d^4*e^2+60*B*x^5*a*b^4*e^6+10*B*x^6*b^5*e^6+12*A*x^5*b^5*e^6+60*B*x*a^5*e^6+60*A*ln(e*x+d)*a^5*e^6+60*B*ln(e*x+d)*b^5*d^6-100*A*x^3*a*b^4*d*e^5-150*B*x^2*a*b^4*d^3*e^3+300*B*x^2*a^2*b^3*d^2*e^4-60*B*x*b^5*d^5*e-12*B*x^5*b^5*d*e^5+75*A*x^4*a*b^4*e^6-15*A*x^4*b^5*d*e^5+150*B*x^4*a^2*b^3*e^6+15*B*x^4*b^5*d^2*e^4)/(b*x+a)^5/e^7","B"
1746,1,1084,340,0.071000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^2,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} \left(12 B \,b^{5} e^{6} x^{6}+15 A \,b^{5} e^{6} x^{5}+75 B a \,b^{4} e^{6} x^{5}-18 B \,b^{5} d \,e^{5} x^{5}+100 A a \,b^{4} e^{6} x^{4}-25 A \,b^{5} d \,e^{5} x^{4}+200 B \,a^{2} b^{3} e^{6} x^{4}-125 B a \,b^{4} d \,e^{5} x^{4}+30 B \,b^{5} d^{2} e^{4} x^{4}+300 A \,a^{2} b^{3} e^{6} x^{3}-200 A a \,b^{4} d \,e^{5} x^{3}+50 A \,b^{5} d^{2} e^{4} x^{3}+300 B \,a^{3} b^{2} e^{6} x^{3}-400 B \,a^{2} b^{3} d \,e^{5} x^{3}+250 B a \,b^{4} d^{2} e^{4} x^{3}-60 B \,b^{5} d^{3} e^{3} x^{3}+300 A \,a^{4} b \,e^{6} x \ln \left(e x +d \right)-1200 A \,a^{3} b^{2} d \,e^{5} x \ln \left(e x +d \right)+600 A \,a^{3} b^{2} e^{6} x^{2}+1800 A \,a^{2} b^{3} d^{2} e^{4} x \ln \left(e x +d \right)-900 A \,a^{2} b^{3} d \,e^{5} x^{2}-1200 A a \,b^{4} d^{3} e^{3} x \ln \left(e x +d \right)+600 A a \,b^{4} d^{2} e^{4} x^{2}+300 A \,b^{5} d^{4} e^{2} x \ln \left(e x +d \right)-150 A \,b^{5} d^{3} e^{3} x^{2}+60 B \,a^{5} e^{6} x \ln \left(e x +d \right)-600 B \,a^{4} b d \,e^{5} x \ln \left(e x +d \right)+300 B \,a^{4} b \,e^{6} x^{2}+1800 B \,a^{3} b^{2} d^{2} e^{4} x \ln \left(e x +d \right)-900 B \,a^{3} b^{2} d \,e^{5} x^{2}-2400 B \,a^{2} b^{3} d^{3} e^{3} x \ln \left(e x +d \right)+1200 B \,a^{2} b^{3} d^{2} e^{4} x^{2}+1500 B a \,b^{4} d^{4} e^{2} x \ln \left(e x +d \right)-750 B a \,b^{4} d^{3} e^{3} x^{2}-360 B \,b^{5} d^{5} e x \ln \left(e x +d \right)+180 B \,b^{5} d^{4} e^{2} x^{2}+300 A \,a^{4} b d \,e^{5} \ln \left(e x +d \right)-1200 A \,a^{3} b^{2} d^{2} e^{4} \ln \left(e x +d \right)+600 A \,a^{3} b^{2} d \,e^{5} x +1800 A \,a^{2} b^{3} d^{3} e^{3} \ln \left(e x +d \right)-1200 A \,a^{2} b^{3} d^{2} e^{4} x -1200 A a \,b^{4} d^{4} e^{2} \ln \left(e x +d \right)+900 A a \,b^{4} d^{3} e^{3} x +300 A \,b^{5} d^{5} e \ln \left(e x +d \right)-240 A \,b^{5} d^{4} e^{2} x +60 B \,a^{5} d \,e^{5} \ln \left(e x +d \right)-600 B \,a^{4} b \,d^{2} e^{4} \ln \left(e x +d \right)+300 B \,a^{4} b d \,e^{5} x +1800 B \,a^{3} b^{2} d^{3} e^{3} \ln \left(e x +d \right)-1200 B \,a^{3} b^{2} d^{2} e^{4} x -2400 B \,a^{2} b^{3} d^{4} e^{2} \ln \left(e x +d \right)+1800 B \,a^{2} b^{3} d^{3} e^{3} x +1500 B a \,b^{4} d^{5} e \ln \left(e x +d \right)-1200 B a \,b^{4} d^{4} e^{2} x -360 B \,b^{5} d^{6} \ln \left(e x +d \right)+300 B \,b^{5} d^{5} e x -60 A \,a^{5} e^{6}+300 A \,a^{4} b d \,e^{5}-600 A \,a^{3} b^{2} d^{2} e^{4}+600 A \,a^{2} b^{3} d^{3} e^{3}-300 A a \,b^{4} d^{4} e^{2}+60 A \,b^{5} d^{5} e +60 B \,a^{5} d \,e^{5}-300 B \,a^{4} b \,d^{2} e^{4}+600 B \,a^{3} b^{2} d^{3} e^{3}-600 B \,a^{2} b^{3} d^{4} e^{2}+300 B a \,b^{4} d^{5} e -60 B \,b^{5} d^{6}\right)}{60 \left(b x +a \right)^{5} \left(e x +d \right) e^{7}}"," ",0,"1/60*((b*x+a)^2)^(5/2)*(-1200*A*a*b^4*d^4*e^2*ln(e*x+d)+300*B*a^4*b*d*e^5*x-1200*B*a^3*b^2*d^2*e^4*x+1800*B*a^2*b^3*d^3*e^3*x-1200*B*a*b^4*d^4*e^2*x+60*A*b^5*d^5*e-2400*B*a^2*b^3*d^4*e^2*ln(e*x+d)+1500*B*a*b^4*d^5*e*ln(e*x+d)+300*A*a^4*b*d*e^5*ln(e*x+d)-300*A*a*b^4*d^4*e^2-300*B*a^4*b*d^2*e^4-600*A*a^3*b^2*d^2*e^4+600*A*a^2*b^3*d^3*e^3+60*B*d*e^5*a^5+600*B*a^3*b^2*d^3*e^3-600*B*a^2*b^3*d^4*e^2+300*B*a*b^4*d^5*e-600*B*ln(e*x+d)*x*a^4*b*d*e^5+1800*B*ln(e*x+d)*x*a^3*b^2*d^2*e^4-2400*B*ln(e*x+d)*x*a^2*b^3*d^3*e^3+1500*B*ln(e*x+d)*x*a*b^4*d^4*e^2-900*A*a^2*b^3*d*e^5*x^2+600*A*a*b^4*d^2*e^4*x^2+300*A*b^5*d^5*e*ln(e*x+d)+60*B*a^5*d*e^5*ln(e*x+d)-240*A*b^5*d^4*e^2*x+300*A*a^2*b^3*e^6*x^3-1200*A*ln(e*x+d)*x*a^3*b^2*d*e^5+1800*A*ln(e*x+d)*x*a^2*b^3*d^2*e^4-1200*A*ln(e*x+d)*x*a*b^4*d^3*e^3-600*B*a^4*b*d^2*e^4*ln(e*x+d)+1800*B*a^3*b^2*d^3*e^3*ln(e*x+d)+300*A*ln(e*x+d)*x*a^4*b*e^6+300*A*ln(e*x+d)*x*b^5*d^4*e^2-360*B*ln(e*x+d)*x*b^5*d^5*e-60*A*a^5*e^6-60*B*b^5*d^6-1200*A*a^3*b^2*d^2*e^4*ln(e*x+d)+1800*A*a^2*b^3*d^3*e^3*ln(e*x+d)-125*B*a*b^4*d*e^5*x^4+300*A*d*e^5*a^4*b-400*B*a^2*b^3*d*e^5*x^3+250*B*a*b^4*d^2*e^4*x^3+600*A*a^3*b^2*d*e^5*x-1200*A*a^2*b^3*d^2*e^4*x+900*A*a*b^4*d^3*e^3*x-900*B*a^3*b^2*d*e^5*x^2+50*A*b^5*d^2*e^4*x^3+300*B*a^3*b^2*e^6*x^3-60*B*b^5*d^3*e^3*x^3+600*A*a^3*b^2*e^6*x^2-150*A*b^5*d^3*e^3*x^2+300*B*a^4*b*e^6*x^2+180*B*b^5*d^4*e^2*x^2+75*B*a*b^4*e^6*x^5+12*B*b^5*e^6*x^6+15*A*b^5*e^6*x^5-360*B*b^5*d^6*ln(e*x+d)-200*A*a*b^4*d*e^5*x^3-750*B*a*b^4*d^3*e^3*x^2+1200*B*a^2*b^3*d^2*e^4*x^2+300*B*b^5*d^5*e*x-18*B*b^5*d*e^5*x^5+100*A*a*b^4*e^6*x^4-25*A*b^5*d*e^5*x^4+200*B*a^2*b^3*e^6*x^4+30*B*b^5*d^2*e^4*x^4+60*B*ln(e*x+d)*x*a^5*e^6)/(b*x+a)^5/e^7/(e*x+d)","B"
1747,1,1205,339,0.073000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^3,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} \left(3 B \,b^{5} e^{6} x^{6}+4 A \,b^{5} e^{6} x^{5}+20 B a \,b^{4} e^{6} x^{5}-6 B \,b^{5} d \,e^{5} x^{5}+30 A a \,b^{4} e^{6} x^{4}-10 A \,b^{5} d \,e^{5} x^{4}+60 B \,a^{2} b^{3} e^{6} x^{4}-50 B a \,b^{4} d \,e^{5} x^{4}+15 B \,b^{5} d^{2} e^{4} x^{4}+120 A \,a^{3} b^{2} e^{6} x^{2} \ln \left(e x +d \right)-360 A \,a^{2} b^{3} d \,e^{5} x^{2} \ln \left(e x +d \right)+120 A \,a^{2} b^{3} e^{6} x^{3}+360 A a \,b^{4} d^{2} e^{4} x^{2} \ln \left(e x +d \right)-120 A a \,b^{4} d \,e^{5} x^{3}-120 A \,b^{5} d^{3} e^{3} x^{2} \ln \left(e x +d \right)+40 A \,b^{5} d^{2} e^{4} x^{3}+60 B \,a^{4} b \,e^{6} x^{2} \ln \left(e x +d \right)-360 B \,a^{3} b^{2} d \,e^{5} x^{2} \ln \left(e x +d \right)+120 B \,a^{3} b^{2} e^{6} x^{3}+720 B \,a^{2} b^{3} d^{2} e^{4} x^{2} \ln \left(e x +d \right)-240 B \,a^{2} b^{3} d \,e^{5} x^{3}-600 B a \,b^{4} d^{3} e^{3} x^{2} \ln \left(e x +d \right)+200 B a \,b^{4} d^{2} e^{4} x^{3}+180 B \,b^{5} d^{4} e^{2} x^{2} \ln \left(e x +d \right)-60 B \,b^{5} d^{3} e^{3} x^{3}+240 A \,a^{3} b^{2} d \,e^{5} x \ln \left(e x +d \right)-720 A \,a^{2} b^{3} d^{2} e^{4} x \ln \left(e x +d \right)+240 A \,a^{2} b^{3} d \,e^{5} x^{2}+720 A a \,b^{4} d^{3} e^{3} x \ln \left(e x +d \right)-330 A a \,b^{4} d^{2} e^{4} x^{2}-240 A \,b^{5} d^{4} e^{2} x \ln \left(e x +d \right)+126 A \,b^{5} d^{3} e^{3} x^{2}+120 B \,a^{4} b d \,e^{5} x \ln \left(e x +d \right)-720 B \,a^{3} b^{2} d^{2} e^{4} x \ln \left(e x +d \right)+240 B \,a^{3} b^{2} d \,e^{5} x^{2}+1440 B \,a^{2} b^{3} d^{3} e^{3} x \ln \left(e x +d \right)-660 B \,a^{2} b^{3} d^{2} e^{4} x^{2}-1200 B a \,b^{4} d^{4} e^{2} x \ln \left(e x +d \right)+630 B a \,b^{4} d^{3} e^{3} x^{2}+360 B \,b^{5} d^{5} e x \ln \left(e x +d \right)-204 B \,b^{5} d^{4} e^{2} x^{2}-60 A \,a^{4} b \,e^{6} x +120 A \,a^{3} b^{2} d^{2} e^{4} \ln \left(e x +d \right)+240 A \,a^{3} b^{2} d \,e^{5} x -360 A \,a^{2} b^{3} d^{3} e^{3} \ln \left(e x +d \right)-240 A \,a^{2} b^{3} d^{2} e^{4} x +360 A a \,b^{4} d^{4} e^{2} \ln \left(e x +d \right)+60 A a \,b^{4} d^{3} e^{3} x -120 A \,b^{5} d^{5} e \ln \left(e x +d \right)+12 A \,b^{5} d^{4} e^{2} x -12 B \,a^{5} e^{6} x +60 B \,a^{4} b \,d^{2} e^{4} \ln \left(e x +d \right)+120 B \,a^{4} b d \,e^{5} x -360 B \,a^{3} b^{2} d^{3} e^{3} \ln \left(e x +d \right)-240 B \,a^{3} b^{2} d^{2} e^{4} x +720 B \,a^{2} b^{3} d^{4} e^{2} \ln \left(e x +d \right)+120 B \,a^{2} b^{3} d^{3} e^{3} x -600 B a \,b^{4} d^{5} e \ln \left(e x +d \right)+60 B a \,b^{4} d^{4} e^{2} x +180 B \,b^{5} d^{6} \ln \left(e x +d \right)-48 B \,b^{5} d^{5} e x -6 A \,a^{5} e^{6}-30 A \,a^{4} b d \,e^{5}+180 A \,a^{3} b^{2} d^{2} e^{4}-300 A \,a^{2} b^{3} d^{3} e^{3}+210 A a \,b^{4} d^{4} e^{2}-54 A \,b^{5} d^{5} e -6 B \,a^{5} d \,e^{5}+90 B \,a^{4} b \,d^{2} e^{4}-300 B \,a^{3} b^{2} d^{3} e^{3}+420 B \,a^{2} b^{3} d^{4} e^{2}-270 B a \,b^{4} d^{5} e +66 B \,b^{5} d^{6}\right)}{12 \left(b x +a \right)^{5} \left(e x +d \right)^{2} e^{7}}"," ",0,"1/12*((b*x+a)^2)^(5/2)*(360*A*a*b^4*d^4*e^2*ln(e*x+d)+120*B*a^4*b*d*e^5*x-240*B*a^3*b^2*d^2*e^4*x+120*B*a^2*b^3*d^3*e^3*x+60*B*a*b^4*d^4*e^2*x-54*A*b^5*d^5*e+720*B*a^2*b^3*d^4*e^2*ln(e*x+d)-600*B*a*b^4*d^5*e*ln(e*x+d)+210*A*a*b^4*d^4*e^2+90*B*a^4*b*d^2*e^4+180*A*a^3*b^2*d^2*e^4-300*A*a^2*b^3*d^3*e^3-6*B*a^5*d*e^5-300*B*a^3*b^2*d^3*e^3+420*B*a^2*b^3*d^4*e^2-270*B*a*b^4*d^5*e+120*B*a^4*b*d*e^5*x*ln(e*x+d)-720*B*a^3*b^2*d^2*e^4*x*ln(e*x+d)+1440*B*a^2*b^3*d^3*e^3*x*ln(e*x+d)-1200*B*a*b^4*d^4*e^2*x*ln(e*x+d)+240*A*a^2*b^3*d*e^5*x^2-330*A*a*b^4*d^2*e^4*x^2-120*A*b^5*d^5*e*ln(e*x+d)-60*A*a^4*b*e^6*x+12*A*b^5*d^4*e^2*x+120*A*a^2*b^3*e^6*x^3+240*A*a^3*b^2*d*e^5*x*ln(e*x+d)-720*A*a^2*b^3*d^2*e^4*x*ln(e*x+d)+720*A*a*b^4*d^3*e^3*x*ln(e*x+d)+60*B*a^4*b*d^2*e^4*ln(e*x+d)-360*B*a^3*b^2*d^3*e^3*ln(e*x+d)-240*A*b^5*d^4*e^2*x*ln(e*x+d)+360*B*b^5*d^5*e*x*ln(e*x+d)-6*A*a^5*e^6+66*B*b^5*d^6+120*A*a^3*b^2*d^2*e^4*ln(e*x+d)-360*A*a^2*b^3*d^3*e^3*ln(e*x+d)-50*B*a*b^4*d*e^5*x^4-360*A*ln(e*x+d)*x^2*a^2*b^3*d*e^5+360*A*ln(e*x+d)*x^2*a*b^4*d^2*e^4-360*B*ln(e*x+d)*x^2*a^3*b^2*d*e^5-30*A*a^4*b*d*e^5-240*B*a^2*b^3*d*e^5*x^3+200*B*a*b^4*d^2*e^4*x^3+240*A*a^3*b^2*d*e^5*x-240*A*a^2*b^3*d^2*e^4*x+60*A*a*b^4*d^3*e^3*x+240*B*a^3*b^2*d*e^5*x^2+40*A*b^5*d^2*e^4*x^3+120*B*a^3*b^2*e^6*x^3-60*B*b^5*d^3*e^3*x^3+126*A*b^5*d^3*e^3*x^2-204*B*b^5*d^4*e^2*x^2+20*B*a*b^4*e^6*x^5+3*B*b^5*e^6*x^6+4*A*b^5*e^6*x^5-12*B*a^5*e^6*x+180*B*b^5*d^6*ln(e*x+d)-120*A*a*b^4*d*e^5*x^3+120*A*ln(e*x+d)*x^2*a^3*b^2*e^6-120*A*ln(e*x+d)*x^2*b^5*d^3*e^3+60*B*ln(e*x+d)*x^2*a^4*b*e^6+180*B*ln(e*x+d)*x^2*b^5*d^4*e^2+630*B*a*b^4*d^3*e^3*x^2-660*B*a^2*b^3*d^2*e^4*x^2+720*B*ln(e*x+d)*x^2*a^2*b^3*d^2*e^4-600*B*ln(e*x+d)*x^2*a*b^4*d^3*e^3-48*B*b^5*d^5*e*x-6*B*b^5*d*e^5*x^5+30*A*a*b^4*e^6*x^4-10*A*b^5*d*e^5*x^4+60*B*a^2*b^3*e^6*x^4+15*B*b^5*d^2*e^4*x^4)/(b*x+a)^5/e^7/(e*x+d)^2","B"
1748,1,1233,340,0.072000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^4,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} \left(2 B \,b^{5} e^{6} x^{6}+3 A \,b^{5} e^{6} x^{5}+15 B a \,b^{4} e^{6} x^{5}-6 B \,b^{5} d \,e^{5} x^{5}+60 A \,a^{2} b^{3} e^{6} x^{3} \ln \left(e x +d \right)-120 A a \,b^{4} d \,e^{5} x^{3} \ln \left(e x +d \right)+30 A a \,b^{4} e^{6} x^{4}+60 A \,b^{5} d^{2} e^{4} x^{3} \ln \left(e x +d \right)-15 A \,b^{5} d \,e^{5} x^{4}+60 B \,a^{3} b^{2} e^{6} x^{3} \ln \left(e x +d \right)-240 B \,a^{2} b^{3} d \,e^{5} x^{3} \ln \left(e x +d \right)+60 B \,a^{2} b^{3} e^{6} x^{4}+300 B a \,b^{4} d^{2} e^{4} x^{3} \ln \left(e x +d \right)-75 B a \,b^{4} d \,e^{5} x^{4}-120 B \,b^{5} d^{3} e^{3} x^{3} \ln \left(e x +d \right)+30 B \,b^{5} d^{2} e^{4} x^{4}+180 A \,a^{2} b^{3} d \,e^{5} x^{2} \ln \left(e x +d \right)-360 A a \,b^{4} d^{2} e^{4} x^{2} \ln \left(e x +d \right)+90 A a \,b^{4} d \,e^{5} x^{3}+180 A \,b^{5} d^{3} e^{3} x^{2} \ln \left(e x +d \right)-63 A \,b^{5} d^{2} e^{4} x^{3}+180 B \,a^{3} b^{2} d \,e^{5} x^{2} \ln \left(e x +d \right)-720 B \,a^{2} b^{3} d^{2} e^{4} x^{2} \ln \left(e x +d \right)+180 B \,a^{2} b^{3} d \,e^{5} x^{3}+900 B a \,b^{4} d^{3} e^{3} x^{2} \ln \left(e x +d \right)-315 B a \,b^{4} d^{2} e^{4} x^{3}-360 B \,b^{5} d^{4} e^{2} x^{2} \ln \left(e x +d \right)+146 B \,b^{5} d^{3} e^{3} x^{3}-60 A \,a^{3} b^{2} e^{6} x^{2}+180 A \,a^{2} b^{3} d^{2} e^{4} x \ln \left(e x +d \right)+180 A \,a^{2} b^{3} d \,e^{5} x^{2}-360 A a \,b^{4} d^{3} e^{3} x \ln \left(e x +d \right)-90 A a \,b^{4} d^{2} e^{4} x^{2}+180 A \,b^{5} d^{4} e^{2} x \ln \left(e x +d \right)-9 A \,b^{5} d^{3} e^{3} x^{2}-30 B \,a^{4} b \,e^{6} x^{2}+180 B \,a^{3} b^{2} d^{2} e^{4} x \ln \left(e x +d \right)+180 B \,a^{3} b^{2} d \,e^{5} x^{2}-720 B \,a^{2} b^{3} d^{3} e^{3} x \ln \left(e x +d \right)-180 B \,a^{2} b^{3} d^{2} e^{4} x^{2}+900 B a \,b^{4} d^{4} e^{2} x \ln \left(e x +d \right)-45 B a \,b^{4} d^{3} e^{3} x^{2}-360 B \,b^{5} d^{5} e x \ln \left(e x +d \right)+78 B \,b^{5} d^{4} e^{2} x^{2}-15 A \,a^{4} b \,e^{6} x -60 A \,a^{3} b^{2} d \,e^{5} x +60 A \,a^{2} b^{3} d^{3} e^{3} \ln \left(e x +d \right)+270 A \,a^{2} b^{3} d^{2} e^{4} x -120 A a \,b^{4} d^{4} e^{2} \ln \left(e x +d \right)-270 A a \,b^{4} d^{3} e^{3} x +60 A \,b^{5} d^{5} e \ln \left(e x +d \right)+81 A \,b^{5} d^{4} e^{2} x -3 B \,a^{5} e^{6} x -30 B \,a^{4} b d \,e^{5} x +60 B \,a^{3} b^{2} d^{3} e^{3} \ln \left(e x +d \right)+270 B \,a^{3} b^{2} d^{2} e^{4} x -240 B \,a^{2} b^{3} d^{4} e^{2} \ln \left(e x +d \right)-540 B \,a^{2} b^{3} d^{3} e^{3} x +300 B a \,b^{4} d^{5} e \ln \left(e x +d \right)+405 B a \,b^{4} d^{4} e^{2} x -120 B \,b^{5} d^{6} \ln \left(e x +d \right)-102 B \,b^{5} d^{5} e x -2 A \,a^{5} e^{6}-5 A \,a^{4} b d \,e^{5}-20 A \,a^{3} b^{2} d^{2} e^{4}+110 A \,a^{2} b^{3} d^{3} e^{3}-130 A a \,b^{4} d^{4} e^{2}+47 A \,b^{5} d^{5} e -B \,a^{5} d \,e^{5}-10 B \,a^{4} b \,d^{2} e^{4}+110 B \,a^{3} b^{2} d^{3} e^{3}-260 B \,a^{2} b^{3} d^{4} e^{2}+235 B a \,b^{4} d^{5} e -74 B \,b^{5} d^{6}\right)}{6 \left(b x +a \right)^{5} \left(e x +d \right)^{3} e^{7}}"," ",0,"1/6*((b*x+a)^2)^(5/2)*(-120*A*a*b^4*d^4*e^2*ln(e*x+d)-30*B*a^4*b*d*e^5*x+270*B*a^3*b^2*d^2*e^4*x-540*B*a^2*b^3*d^3*e^3*x+405*B*a*b^4*d^4*e^2*x+47*A*b^5*d^5*e-240*B*a^2*b^3*d^4*e^2*ln(e*x+d)+300*B*a*b^4*d^5*e*ln(e*x+d)-130*A*a*b^4*d^4*e^2-10*B*a^4*b*d^2*e^4-20*A*a^3*b^2*d^2*e^4+110*A*a^2*b^3*d^3*e^3-B*a^5*d*e^5+110*B*a^3*b^2*d^3*e^3-260*B*a^2*b^3*d^4*e^2+235*B*a*b^4*d^5*e+180*B*a^3*b^2*d^2*e^4*x*ln(e*x+d)-720*B*a^2*b^3*d^3*e^3*x*ln(e*x+d)+900*B*a*b^4*d^4*e^2*x*ln(e*x+d)+180*A*a^2*b^3*d*e^5*x^2-90*A*a*b^4*d^2*e^4*x^2+60*A*b^5*d^5*e*ln(e*x+d)-15*A*a^4*b*e^6*x+81*A*b^5*d^4*e^2*x+180*A*a^2*b^3*d^2*e^4*x*ln(e*x+d)-360*A*a*b^4*d^3*e^3*x*ln(e*x+d)+60*B*a^3*b^2*d^3*e^3*ln(e*x+d)+60*B*ln(e*x+d)*x^3*a^3*b^2*e^6-120*B*ln(e*x+d)*x^3*b^5*d^3*e^3+180*A*b^5*d^4*e^2*x*ln(e*x+d)-360*B*b^5*d^5*e*x*ln(e*x+d)-2*A*a^5*e^6-74*B*b^5*d^6+60*A*a^2*b^3*d^3*e^3*ln(e*x+d)-75*B*a*b^4*d*e^5*x^4+180*A*a^2*b^3*d*e^5*x^2*ln(e*x+d)-360*A*a*b^4*d^2*e^4*x^2*ln(e*x+d)+180*B*a^3*b^2*d*e^5*x^2*ln(e*x+d)-5*A*a^4*b*d*e^5+180*B*a^2*b^3*d*e^5*x^3-315*B*a*b^4*d^2*e^4*x^3-60*A*a^3*b^2*d*e^5*x+270*A*a^2*b^3*d^2*e^4*x-270*A*a*b^4*d^3*e^3*x+180*B*a^3*b^2*d*e^5*x^2-63*A*b^5*d^2*e^4*x^3+146*B*b^5*d^3*e^3*x^3-60*A*a^3*b^2*e^6*x^2-9*A*b^5*d^3*e^3*x^2-30*B*a^4*b*e^6*x^2+78*B*b^5*d^4*e^2*x^2+15*B*a*b^4*e^6*x^5+2*B*b^5*e^6*x^6+3*A*b^5*e^6*x^5-3*B*a^5*e^6*x-120*B*b^5*d^6*ln(e*x+d)+90*A*a*b^4*d*e^5*x^3-120*A*ln(e*x+d)*x^3*a*b^4*d*e^5-240*B*ln(e*x+d)*x^3*a^2*b^3*d*e^5+300*B*ln(e*x+d)*x^3*a*b^4*d^2*e^4+180*A*b^5*d^3*e^3*x^2*ln(e*x+d)-360*B*b^5*d^4*e^2*x^2*ln(e*x+d)+60*A*ln(e*x+d)*x^3*a^2*b^3*e^6+60*A*ln(e*x+d)*x^3*b^5*d^2*e^4-45*B*a*b^4*d^3*e^3*x^2-180*B*a^2*b^3*d^2*e^4*x^2-720*B*a^2*b^3*d^2*e^4*x^2*ln(e*x+d)+900*B*a*b^4*d^3*e^3*x^2*ln(e*x+d)-102*B*b^5*d^5*e*x-6*B*b^5*d*e^5*x^5+30*A*a*b^4*e^6*x^4-15*A*b^5*d*e^5*x^4+60*B*a^2*b^3*e^6*x^4+30*B*b^5*d^2*e^4*x^4)/(b*x+a)^5/e^7/(e*x+d)^3","B"
1749,1,1163,336,0.074000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^5,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} \left(6 B \,b^{5} e^{6} x^{6}+60 A a \,b^{4} e^{6} x^{4} \ln \left(e x +d \right)-60 A \,b^{5} d \,e^{5} x^{4} \ln \left(e x +d \right)+12 A \,b^{5} e^{6} x^{5}+120 B \,a^{2} b^{3} e^{6} x^{4} \ln \left(e x +d \right)-300 B a \,b^{4} d \,e^{5} x^{4} \ln \left(e x +d \right)+60 B a \,b^{4} e^{6} x^{5}+180 B \,b^{5} d^{2} e^{4} x^{4} \ln \left(e x +d \right)-36 B \,b^{5} d \,e^{5} x^{5}+240 A a \,b^{4} d \,e^{5} x^{3} \ln \left(e x +d \right)-240 A \,b^{5} d^{2} e^{4} x^{3} \ln \left(e x +d \right)+48 A \,b^{5} d \,e^{5} x^{4}+480 B \,a^{2} b^{3} d \,e^{5} x^{3} \ln \left(e x +d \right)-1200 B a \,b^{4} d^{2} e^{4} x^{3} \ln \left(e x +d \right)+240 B a \,b^{4} d \,e^{5} x^{4}+720 B \,b^{5} d^{3} e^{3} x^{3} \ln \left(e x +d \right)-204 B \,b^{5} d^{2} e^{4} x^{4}-120 A \,a^{2} b^{3} e^{6} x^{3}+360 A a \,b^{4} d^{2} e^{4} x^{2} \ln \left(e x +d \right)+240 A a \,b^{4} d \,e^{5} x^{3}-360 A \,b^{5} d^{3} e^{3} x^{2} \ln \left(e x +d \right)-48 A \,b^{5} d^{2} e^{4} x^{3}-120 B \,a^{3} b^{2} e^{6} x^{3}+720 B \,a^{2} b^{3} d^{2} e^{4} x^{2} \ln \left(e x +d \right)+480 B \,a^{2} b^{3} d \,e^{5} x^{3}-1800 B a \,b^{4} d^{3} e^{3} x^{2} \ln \left(e x +d \right)-240 B a \,b^{4} d^{2} e^{4} x^{3}+1080 B \,b^{5} d^{4} e^{2} x^{2} \ln \left(e x +d \right)-96 B \,b^{5} d^{3} e^{3} x^{3}-60 A \,a^{3} b^{2} e^{6} x^{2}-180 A \,a^{2} b^{3} d \,e^{5} x^{2}+240 A a \,b^{4} d^{3} e^{3} x \ln \left(e x +d \right)+540 A a \,b^{4} d^{2} e^{4} x^{2}-240 A \,b^{5} d^{4} e^{2} x \ln \left(e x +d \right)-252 A \,b^{5} d^{3} e^{3} x^{2}-30 B \,a^{4} b \,e^{6} x^{2}-180 B \,a^{3} b^{2} d \,e^{5} x^{2}+480 B \,a^{2} b^{3} d^{3} e^{3} x \ln \left(e x +d \right)+1080 B \,a^{2} b^{3} d^{2} e^{4} x^{2}-1200 B a \,b^{4} d^{4} e^{2} x \ln \left(e x +d \right)-1260 B a \,b^{4} d^{3} e^{3} x^{2}+720 B \,b^{5} d^{5} e x \ln \left(e x +d \right)+396 B \,b^{5} d^{4} e^{2} x^{2}-20 A \,a^{4} b \,e^{6} x -40 A \,a^{3} b^{2} d \,e^{5} x -120 A \,a^{2} b^{3} d^{2} e^{4} x +60 A a \,b^{4} d^{4} e^{2} \ln \left(e x +d \right)+440 A a \,b^{4} d^{3} e^{3} x -60 A \,b^{5} d^{5} e \ln \left(e x +d \right)-248 A \,b^{5} d^{4} e^{2} x -4 B \,a^{5} e^{6} x -20 B \,a^{4} b d \,e^{5} x -120 B \,a^{3} b^{2} d^{2} e^{4} x +120 B \,a^{2} b^{3} d^{4} e^{2} \ln \left(e x +d \right)+880 B \,a^{2} b^{3} d^{3} e^{3} x -300 B a \,b^{4} d^{5} e \ln \left(e x +d \right)-1240 B a \,b^{4} d^{4} e^{2} x +180 B \,b^{5} d^{6} \ln \left(e x +d \right)+504 B \,b^{5} d^{5} e x -3 A \,a^{5} e^{6}-5 A \,a^{4} b d \,e^{5}-10 A \,a^{3} b^{2} d^{2} e^{4}-30 A \,a^{2} b^{3} d^{3} e^{3}+125 A a \,b^{4} d^{4} e^{2}-77 A \,b^{5} d^{5} e -B \,a^{5} d \,e^{5}-5 B \,a^{4} b \,d^{2} e^{4}-30 B \,a^{3} b^{2} d^{3} e^{3}+250 B \,a^{2} b^{3} d^{4} e^{2}-385 B a \,b^{4} d^{5} e +171 B \,b^{5} d^{6}\right)}{12 \left(b x +a \right)^{5} \left(e x +d \right)^{4} e^{7}}"," ",0,"1/12*((b*x+a)^2)^(5/2)*(60*A*a*b^4*d^4*e^2*ln(e*x+d)-300*B*ln(e*x+d)*x^4*a*b^4*d*e^5-20*B*a^4*b*d*e^5*x-120*B*a^3*b^2*d^2*e^4*x+880*B*a^2*b^3*d^3*e^3*x-1240*B*a*b^4*d^4*e^2*x-77*A*b^5*d^5*e+120*B*a^2*b^3*d^4*e^2*ln(e*x+d)-300*B*a*b^4*d^5*e*ln(e*x+d)+125*A*a*b^4*d^4*e^2-5*B*a^4*b*d^2*e^4-10*A*a^3*b^2*d^2*e^4-30*A*a^2*b^3*d^3*e^3-B*a^5*d*e^5-30*B*a^3*b^2*d^3*e^3+250*B*a^2*b^3*d^4*e^2-385*B*a*b^4*d^5*e+480*B*a^2*b^3*d^3*e^3*x*ln(e*x+d)-1200*B*a*b^4*d^4*e^2*x*ln(e*x+d)-180*A*a^2*b^3*d*e^5*x^2+540*A*a*b^4*d^2*e^4*x^2-60*A*b^5*d^5*e*ln(e*x+d)-20*A*a^4*b*e^6*x-248*A*b^5*d^4*e^2*x-120*A*a^2*b^3*e^6*x^3+240*A*a*b^4*d^3*e^3*x*ln(e*x+d)+720*B*b^5*d^3*e^3*x^3*ln(e*x+d)-240*A*b^5*d^4*e^2*x*ln(e*x+d)+720*B*b^5*d^5*e*x*ln(e*x+d)+60*A*ln(e*x+d)*x^4*a*b^4*e^6-60*A*ln(e*x+d)*x^4*b^5*d*e^5+120*B*ln(e*x+d)*x^4*a^2*b^3*e^6+180*B*ln(e*x+d)*x^4*b^5*d^2*e^4-3*A*a^5*e^6+171*B*b^5*d^6+240*B*a*b^4*d*e^5*x^4+360*A*a*b^4*d^2*e^4*x^2*ln(e*x+d)-5*A*a^4*b*d*e^5+480*B*a^2*b^3*d*e^5*x^3-240*B*a*b^4*d^2*e^4*x^3-40*A*a^3*b^2*d*e^5*x-120*A*a^2*b^3*d^2*e^4*x+440*A*a*b^4*d^3*e^3*x-180*B*a^3*b^2*d*e^5*x^2-48*A*b^5*d^2*e^4*x^3-120*B*a^3*b^2*e^6*x^3-96*B*b^5*d^3*e^3*x^3-60*A*a^3*b^2*e^6*x^2-252*A*b^5*d^3*e^3*x^2-30*B*a^4*b*e^6*x^2+396*B*b^5*d^4*e^2*x^2+60*B*a*b^4*e^6*x^5+6*B*b^5*e^6*x^6+12*A*b^5*e^6*x^5-4*B*a^5*e^6*x+180*B*b^5*d^6*ln(e*x+d)+240*A*a*b^4*d*e^5*x^3+240*A*a*b^4*d*e^5*x^3*ln(e*x+d)+480*B*a^2*b^3*d*e^5*x^3*ln(e*x+d)-1200*B*a*b^4*d^2*e^4*x^3*ln(e*x+d)-360*A*b^5*d^3*e^3*x^2*ln(e*x+d)+1080*B*b^5*d^4*e^2*x^2*ln(e*x+d)-240*A*b^5*d^2*e^4*x^3*ln(e*x+d)-1260*B*a*b^4*d^3*e^3*x^2+1080*B*a^2*b^3*d^2*e^4*x^2+720*B*a^2*b^3*d^2*e^4*x^2*ln(e*x+d)-1800*B*a*b^4*d^3*e^3*x^2*ln(e*x+d)+504*B*b^5*d^5*e*x-36*B*b^5*d*e^5*x^5+48*A*b^5*d*e^5*x^4-204*B*b^5*d^2*e^4*x^4)/(b*x+a)^5/e^7/(e*x+d)^4","B"
1750,1,1012,339,0.073000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^6,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} \left(60 A \,b^{5} e^{6} x^{5} \ln \left(e x +d \right)+300 B a \,b^{4} e^{6} x^{5} \ln \left(e x +d \right)-360 B \,b^{5} d \,e^{5} x^{5} \ln \left(e x +d \right)+60 B \,b^{5} e^{6} x^{6}+300 A \,b^{5} d \,e^{5} x^{4} \ln \left(e x +d \right)+1500 B a \,b^{4} d \,e^{5} x^{4} \ln \left(e x +d \right)-1800 B \,b^{5} d^{2} e^{4} x^{4} \ln \left(e x +d \right)+300 B \,b^{5} d \,e^{5} x^{5}-300 A a \,b^{4} e^{6} x^{4}+600 A \,b^{5} d^{2} e^{4} x^{3} \ln \left(e x +d \right)+300 A \,b^{5} d \,e^{5} x^{4}-600 B \,a^{2} b^{3} e^{6} x^{4}+3000 B a \,b^{4} d^{2} e^{4} x^{3} \ln \left(e x +d \right)+1500 B a \,b^{4} d \,e^{5} x^{4}-3600 B \,b^{5} d^{3} e^{3} x^{3} \ln \left(e x +d \right)-300 B \,b^{5} d^{2} e^{4} x^{4}-300 A \,a^{2} b^{3} e^{6} x^{3}-600 A a \,b^{4} d \,e^{5} x^{3}+600 A \,b^{5} d^{3} e^{3} x^{2} \ln \left(e x +d \right)+900 A \,b^{5} d^{2} e^{4} x^{3}-300 B \,a^{3} b^{2} e^{6} x^{3}-1200 B \,a^{2} b^{3} d \,e^{5} x^{3}+3000 B a \,b^{4} d^{3} e^{3} x^{2} \ln \left(e x +d \right)+4500 B a \,b^{4} d^{2} e^{4} x^{3}-3600 B \,b^{5} d^{4} e^{2} x^{2} \ln \left(e x +d \right)-2400 B \,b^{5} d^{3} e^{3} x^{3}-200 A \,a^{3} b^{2} e^{6} x^{2}-300 A \,a^{2} b^{3} d \,e^{5} x^{2}-600 A a \,b^{4} d^{2} e^{4} x^{2}+300 A \,b^{5} d^{4} e^{2} x \ln \left(e x +d \right)+1100 A \,b^{5} d^{3} e^{3} x^{2}-100 B \,a^{4} b \,e^{6} x^{2}-300 B \,a^{3} b^{2} d \,e^{5} x^{2}-1200 B \,a^{2} b^{3} d^{2} e^{4} x^{2}+1500 B a \,b^{4} d^{4} e^{2} x \ln \left(e x +d \right)+5500 B a \,b^{4} d^{3} e^{3} x^{2}-1800 B \,b^{5} d^{5} e x \ln \left(e x +d \right)-3600 B \,b^{5} d^{4} e^{2} x^{2}-75 A \,a^{4} b \,e^{6} x -100 A \,a^{3} b^{2} d \,e^{5} x -150 A \,a^{2} b^{3} d^{2} e^{4} x -300 A a \,b^{4} d^{3} e^{3} x +60 A \,b^{5} d^{5} e \ln \left(e x +d \right)+625 A \,b^{5} d^{4} e^{2} x -15 B \,a^{5} e^{6} x -50 B \,a^{4} b d \,e^{5} x -150 B \,a^{3} b^{2} d^{2} e^{4} x -600 B \,a^{2} b^{3} d^{3} e^{3} x +300 B a \,b^{4} d^{5} e \ln \left(e x +d \right)+3125 B a \,b^{4} d^{4} e^{2} x -360 B \,b^{5} d^{6} \ln \left(e x +d \right)-2250 B \,b^{5} d^{5} e x -12 A \,a^{5} e^{6}-15 A \,a^{4} b d \,e^{5}-20 A \,a^{3} b^{2} d^{2} e^{4}-30 A \,a^{2} b^{3} d^{3} e^{3}-60 A a \,b^{4} d^{4} e^{2}+137 A \,b^{5} d^{5} e -3 B \,a^{5} d \,e^{5}-10 B \,a^{4} b \,d^{2} e^{4}-30 B \,a^{3} b^{2} d^{3} e^{3}-120 B \,a^{2} b^{3} d^{4} e^{2}+685 B a \,b^{4} d^{5} e -522 B \,b^{5} d^{6}\right)}{60 \left(b x +a \right)^{5} \left(e x +d \right)^{5} e^{7}}"," ",0,"1/60*((b*x+a)^2)^(5/2)*(1500*B*a*b^4*d*e^5*x^4*ln(e*x+d)-50*B*a^4*b*d*e^5*x-150*B*a^3*b^2*d^2*e^4*x-600*B*a^2*b^3*d^3*e^3*x+3125*B*a*b^4*d^4*e^2*x+300*B*ln(e*x+d)*x^5*a*b^4*e^6+137*A*b^5*d^5*e+300*B*a*b^4*d^5*e*ln(e*x+d)-60*A*a*b^4*d^4*e^2-10*B*a^4*b*d^2*e^4-20*A*a^3*b^2*d^2*e^4-30*A*a^2*b^3*d^3*e^3-3*B*a^5*d*e^5-30*B*a^3*b^2*d^3*e^3-120*B*a^2*b^3*d^4*e^2+685*B*a*b^4*d^5*e+1500*B*a*b^4*d^4*e^2*x*ln(e*x+d)-300*A*a^2*b^3*d*e^5*x^2-600*A*a*b^4*d^2*e^4*x^2+60*A*b^5*d^5*e*ln(e*x+d)-75*A*a^4*b*e^6*x+625*A*b^5*d^4*e^2*x-300*A*a^2*b^3*e^6*x^3-360*B*ln(e*x+d)*x^5*b^5*d*e^5-3600*B*b^5*d^3*e^3*x^3*ln(e*x+d)+300*A*b^5*d^4*e^2*x*ln(e*x+d)-1800*B*b^5*d^5*e*x*ln(e*x+d)+300*A*b^5*d*e^5*x^4*ln(e*x+d)-1800*B*b^5*d^2*e^4*x^4*ln(e*x+d)-12*A*a^5*e^6-522*B*b^5*d^6+1500*B*a*b^4*d*e^5*x^4-15*A*a^4*b*d*e^5-1200*B*a^2*b^3*d*e^5*x^3+4500*B*a*b^4*d^2*e^4*x^3-100*A*a^3*b^2*d*e^5*x-150*A*a^2*b^3*d^2*e^4*x-300*A*a*b^4*d^3*e^3*x-300*B*a^3*b^2*d*e^5*x^2+900*A*b^5*d^2*e^4*x^3-300*B*a^3*b^2*e^6*x^3-2400*B*b^5*d^3*e^3*x^3-200*A*a^3*b^2*e^6*x^2+1100*A*b^5*d^3*e^3*x^2-100*B*a^4*b*e^6*x^2-3600*B*b^5*d^4*e^2*x^2+60*B*b^5*e^6*x^6-15*B*a^5*e^6*x-360*B*b^5*d^6*ln(e*x+d)-600*A*a*b^4*d*e^5*x^3+3000*B*a*b^4*d^2*e^4*x^3*ln(e*x+d)+600*A*b^5*d^3*e^3*x^2*ln(e*x+d)-3600*B*b^5*d^4*e^2*x^2*ln(e*x+d)+600*A*b^5*d^2*e^4*x^3*ln(e*x+d)+5500*B*a*b^4*d^3*e^3*x^2-1200*B*a^2*b^3*d^2*e^4*x^2+3000*B*a*b^4*d^3*e^3*x^2*ln(e*x+d)-2250*B*b^5*d^5*e*x+300*B*b^5*d*e^5*x^5-300*A*a*b^4*e^6*x^4+300*A*b^5*d*e^5*x^4-600*B*a^2*b^3*e^6*x^4-300*B*b^5*d^2*e^4*x^4+60*A*ln(e*x+d)*x^5*b^5*e^6)/(b*x+a)^5/e^7/(e*x+d)^5","B"
1751,1,809,280,0.074000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^7,x)","-\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} \left(-60 B \,b^{5} e^{6} x^{6} \ln \left(e x +d \right)-360 B \,b^{5} d \,e^{5} x^{5} \ln \left(e x +d \right)+60 A \,b^{5} e^{6} x^{5}+300 B a \,b^{4} e^{6} x^{5}-900 B \,b^{5} d^{2} e^{4} x^{4} \ln \left(e x +d \right)-360 B \,b^{5} d \,e^{5} x^{5}+150 A a \,b^{4} e^{6} x^{4}+150 A \,b^{5} d \,e^{5} x^{4}+300 B \,a^{2} b^{3} e^{6} x^{4}+750 B a \,b^{4} d \,e^{5} x^{4}-1200 B \,b^{5} d^{3} e^{3} x^{3} \ln \left(e x +d \right)-1350 B \,b^{5} d^{2} e^{4} x^{4}+200 A \,a^{2} b^{3} e^{6} x^{3}+200 A a \,b^{4} d \,e^{5} x^{3}+200 A \,b^{5} d^{2} e^{4} x^{3}+200 B \,a^{3} b^{2} e^{6} x^{3}+400 B \,a^{2} b^{3} d \,e^{5} x^{3}+1000 B a \,b^{4} d^{2} e^{4} x^{3}-900 B \,b^{5} d^{4} e^{2} x^{2} \ln \left(e x +d \right)-2200 B \,b^{5} d^{3} e^{3} x^{3}+150 A \,a^{3} b^{2} e^{6} x^{2}+150 A \,a^{2} b^{3} d \,e^{5} x^{2}+150 A a \,b^{4} d^{2} e^{4} x^{2}+150 A \,b^{5} d^{3} e^{3} x^{2}+75 B \,a^{4} b \,e^{6} x^{2}+150 B \,a^{3} b^{2} d \,e^{5} x^{2}+300 B \,a^{2} b^{3} d^{2} e^{4} x^{2}+750 B a \,b^{4} d^{3} e^{3} x^{2}-360 B \,b^{5} d^{5} e x \ln \left(e x +d \right)-1875 B \,b^{5} d^{4} e^{2} x^{2}+60 A \,a^{4} b \,e^{6} x +60 A \,a^{3} b^{2} d \,e^{5} x +60 A \,a^{2} b^{3} d^{2} e^{4} x +60 A a \,b^{4} d^{3} e^{3} x +60 A \,b^{5} d^{4} e^{2} x +12 B \,a^{5} e^{6} x +30 B \,a^{4} b d \,e^{5} x +60 B \,a^{3} b^{2} d^{2} e^{4} x +120 B \,a^{2} b^{3} d^{3} e^{3} x +300 B a \,b^{4} d^{4} e^{2} x -60 B \,b^{5} d^{6} \ln \left(e x +d \right)-822 B \,b^{5} d^{5} e x +10 A \,a^{5} e^{6}+10 A \,a^{4} b d \,e^{5}+10 A \,a^{3} b^{2} d^{2} e^{4}+10 A \,a^{2} b^{3} d^{3} e^{3}+10 A a \,b^{4} d^{4} e^{2}+10 A \,b^{5} d^{5} e +2 B \,a^{5} d \,e^{5}+5 B \,a^{4} b \,d^{2} e^{4}+10 B \,a^{3} b^{2} d^{3} e^{3}+20 B \,a^{2} b^{3} d^{4} e^{2}+50 B a \,b^{4} d^{5} e -147 B \,b^{5} d^{6}\right)}{60 \left(b x +a \right)^{5} \left(e x +d \right)^{6} e^{7}}"," ",0,"-1/60*((b*x+a)^2)^(5/2)*(30*B*a^4*b*d*e^5*x+60*B*a^3*b^2*d^2*e^4*x+120*B*a^2*b^3*d^3*e^3*x+300*B*a*b^4*d^4*e^2*x+10*A*b^5*d^5*e+10*A*a*b^4*d^4*e^2+5*B*a^4*b*d^2*e^4+10*A*a^3*b^2*d^2*e^4+10*A*a^2*b^3*d^3*e^3+2*B*a^5*d*e^5+10*B*a^3*b^2*d^3*e^3+20*B*a^2*b^3*d^4*e^2+50*B*a*b^4*d^5*e+150*A*a^2*b^3*d*e^5*x^2+150*A*a*b^4*d^2*e^4*x^2+60*A*a^4*b*e^6*x+60*A*b^5*d^4*e^2*x+200*A*a^2*b^3*e^6*x^3-360*B*b^5*d*e^5*x^5*ln(e*x+d)-1200*B*b^5*d^3*e^3*x^3*ln(e*x+d)-360*B*b^5*d^5*e*x*ln(e*x+d)-900*B*b^5*d^2*e^4*x^4*ln(e*x+d)+10*A*a^5*e^6-147*B*b^5*d^6+750*B*a*b^4*d*e^5*x^4+10*A*a^4*b*d*e^5+400*B*a^2*b^3*d*e^5*x^3+1000*B*a*b^4*d^2*e^4*x^3+60*A*a^3*b^2*d*e^5*x+60*A*a^2*b^3*d^2*e^4*x+60*A*a*b^4*d^3*e^3*x+150*B*a^3*b^2*d*e^5*x^2+200*A*b^5*d^2*e^4*x^3+200*B*a^3*b^2*e^6*x^3-2200*B*b^5*d^3*e^3*x^3+150*A*a^3*b^2*e^6*x^2+150*A*b^5*d^3*e^3*x^2+75*B*a^4*b*e^6*x^2-1875*B*b^5*d^4*e^2*x^2+300*B*a*b^4*e^6*x^5-60*B*ln(e*x+d)*x^6*b^5*e^6+60*A*b^5*e^6*x^5+12*B*a^5*e^6*x-60*B*b^5*d^6*ln(e*x+d)+200*A*a*b^4*d*e^5*x^3-900*B*b^5*d^4*e^2*x^2*ln(e*x+d)+750*B*a*b^4*d^3*e^3*x^2+300*B*a^2*b^3*d^2*e^4*x^2-822*B*b^5*d^5*e*x-360*B*b^5*d*e^5*x^5+150*A*a*b^4*e^6*x^4+150*A*b^5*d*e^5*x^4+300*B*a^2*b^3*e^6*x^4-1350*B*b^5*d^2*e^4*x^4)/(b*x+a)^5/e^7/(e*x+d)^6","B"
1752,1,687,89,0.058000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^8,x)","-\frac{\left(42 B \,b^{5} e^{6} x^{6}+21 A \,b^{5} e^{6} x^{5}+105 B a \,b^{4} e^{6} x^{5}+126 B \,b^{5} d \,e^{5} x^{5}+70 A a \,b^{4} e^{6} x^{4}+35 A \,b^{5} d \,e^{5} x^{4}+140 B \,a^{2} b^{3} e^{6} x^{4}+175 B a \,b^{4} d \,e^{5} x^{4}+210 B \,b^{5} d^{2} e^{4} x^{4}+105 A \,a^{2} b^{3} e^{6} x^{3}+70 A a \,b^{4} d \,e^{5} x^{3}+35 A \,b^{5} d^{2} e^{4} x^{3}+105 B \,a^{3} b^{2} e^{6} x^{3}+140 B \,a^{2} b^{3} d \,e^{5} x^{3}+175 B a \,b^{4} d^{2} e^{4} x^{3}+210 B \,b^{5} d^{3} e^{3} x^{3}+84 A \,a^{3} b^{2} e^{6} x^{2}+63 A \,a^{2} b^{3} d \,e^{5} x^{2}+42 A a \,b^{4} d^{2} e^{4} x^{2}+21 A \,b^{5} d^{3} e^{3} x^{2}+42 B \,a^{4} b \,e^{6} x^{2}+63 B \,a^{3} b^{2} d \,e^{5} x^{2}+84 B \,a^{2} b^{3} d^{2} e^{4} x^{2}+105 B a \,b^{4} d^{3} e^{3} x^{2}+126 B \,b^{5} d^{4} e^{2} x^{2}+35 A \,a^{4} b \,e^{6} x +28 A \,a^{3} b^{2} d \,e^{5} x +21 A \,a^{2} b^{3} d^{2} e^{4} x +14 A a \,b^{4} d^{3} e^{3} x +7 A \,b^{5} d^{4} e^{2} x +7 B \,a^{5} e^{6} x +14 B \,a^{4} b d \,e^{5} x +21 B \,a^{3} b^{2} d^{2} e^{4} x +28 B \,a^{2} b^{3} d^{3} e^{3} x +35 B a \,b^{4} d^{4} e^{2} x +42 B \,b^{5} d^{5} e x +6 A \,a^{5} e^{6}+5 A \,a^{4} b d \,e^{5}+4 A \,a^{3} b^{2} d^{2} e^{4}+3 A \,a^{2} b^{3} d^{3} e^{3}+2 A a \,b^{4} d^{4} e^{2}+A \,b^{5} d^{5} e +B \,a^{5} d \,e^{5}+2 B \,a^{4} b \,d^{2} e^{4}+3 B \,a^{3} b^{2} d^{3} e^{3}+4 B \,a^{2} b^{3} d^{4} e^{2}+5 B a \,b^{4} d^{5} e +6 B \,b^{5} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{42 \left(e x +d \right)^{7} \left(b x +a \right)^{5} e^{7}}"," ",0,"-1/42*(42*B*b^5*e^6*x^6+21*A*b^5*e^6*x^5+105*B*a*b^4*e^6*x^5+126*B*b^5*d*e^5*x^5+70*A*a*b^4*e^6*x^4+35*A*b^5*d*e^5*x^4+140*B*a^2*b^3*e^6*x^4+175*B*a*b^4*d*e^5*x^4+210*B*b^5*d^2*e^4*x^4+105*A*a^2*b^3*e^6*x^3+70*A*a*b^4*d*e^5*x^3+35*A*b^5*d^2*e^4*x^3+105*B*a^3*b^2*e^6*x^3+140*B*a^2*b^3*d*e^5*x^3+175*B*a*b^4*d^2*e^4*x^3+210*B*b^5*d^3*e^3*x^3+84*A*a^3*b^2*e^6*x^2+63*A*a^2*b^3*d*e^5*x^2+42*A*a*b^4*d^2*e^4*x^2+21*A*b^5*d^3*e^3*x^2+42*B*a^4*b*e^6*x^2+63*B*a^3*b^2*d*e^5*x^2+84*B*a^2*b^3*d^2*e^4*x^2+105*B*a*b^4*d^3*e^3*x^2+126*B*b^5*d^4*e^2*x^2+35*A*a^4*b*e^6*x+28*A*a^3*b^2*d*e^5*x+21*A*a^2*b^3*d^2*e^4*x+14*A*a*b^4*d^3*e^3*x+7*A*b^5*d^4*e^2*x+7*B*a^5*e^6*x+14*B*a^4*b*d*e^5*x+21*B*a^3*b^2*d^2*e^4*x+28*B*a^2*b^3*d^3*e^3*x+35*B*a*b^4*d^4*e^2*x+42*B*b^5*d^5*e*x+6*A*a^5*e^6+5*A*a^4*b*d*e^5+4*A*a^3*b^2*d^2*e^4+3*A*a^2*b^3*d^3*e^3+2*A*a*b^4*d^4*e^2+A*b^5*d^5*e+B*a^5*d*e^5+2*B*a^4*b*d^2*e^4+3*B*a^3*b^2*d^3*e^3+4*B*a^2*b^3*d^4*e^2+5*B*a*b^4*d^5*e+6*B*b^5*d^6)*((b*x+a)^2)^(5/2)/(e*x+d)^7/e^7/(b*x+a)^5","B"
1753,1,688,154,0.049000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^9,x)","-\frac{\left(84 B \,b^{5} e^{6} x^{6}+56 A \,b^{5} e^{6} x^{5}+280 B a \,b^{4} e^{6} x^{5}+168 B \,b^{5} d \,e^{5} x^{5}+210 A a \,b^{4} e^{6} x^{4}+70 A \,b^{5} d \,e^{5} x^{4}+420 B \,a^{2} b^{3} e^{6} x^{4}+350 B a \,b^{4} d \,e^{5} x^{4}+210 B \,b^{5} d^{2} e^{4} x^{4}+336 A \,a^{2} b^{3} e^{6} x^{3}+168 A a \,b^{4} d \,e^{5} x^{3}+56 A \,b^{5} d^{2} e^{4} x^{3}+336 B \,a^{3} b^{2} e^{6} x^{3}+336 B \,a^{2} b^{3} d \,e^{5} x^{3}+280 B a \,b^{4} d^{2} e^{4} x^{3}+168 B \,b^{5} d^{3} e^{3} x^{3}+280 A \,a^{3} b^{2} e^{6} x^{2}+168 A \,a^{2} b^{3} d \,e^{5} x^{2}+84 A a \,b^{4} d^{2} e^{4} x^{2}+28 A \,b^{5} d^{3} e^{3} x^{2}+140 B \,a^{4} b \,e^{6} x^{2}+168 B \,a^{3} b^{2} d \,e^{5} x^{2}+168 B \,a^{2} b^{3} d^{2} e^{4} x^{2}+140 B a \,b^{4} d^{3} e^{3} x^{2}+84 B \,b^{5} d^{4} e^{2} x^{2}+120 A \,a^{4} b \,e^{6} x +80 A \,a^{3} b^{2} d \,e^{5} x +48 A \,a^{2} b^{3} d^{2} e^{4} x +24 A a \,b^{4} d^{3} e^{3} x +8 A \,b^{5} d^{4} e^{2} x +24 B \,a^{5} e^{6} x +40 B \,a^{4} b d \,e^{5} x +48 B \,a^{3} b^{2} d^{2} e^{4} x +48 B \,a^{2} b^{3} d^{3} e^{3} x +40 B a \,b^{4} d^{4} e^{2} x +24 B \,b^{5} d^{5} e x +21 A \,a^{5} e^{6}+15 A \,a^{4} b d \,e^{5}+10 A \,a^{3} b^{2} d^{2} e^{4}+6 A \,a^{2} b^{3} d^{3} e^{3}+3 A a \,b^{4} d^{4} e^{2}+A \,b^{5} d^{5} e +3 B \,a^{5} d \,e^{5}+5 B \,a^{4} b \,d^{2} e^{4}+6 B \,a^{3} b^{2} d^{3} e^{3}+6 B \,a^{2} b^{3} d^{4} e^{2}+5 B a \,b^{4} d^{5} e +3 B \,b^{5} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{168 \left(e x +d \right)^{8} \left(b x +a \right)^{5} e^{7}}"," ",0,"-1/168/e^7*(84*B*b^5*e^6*x^6+56*A*b^5*e^6*x^5+280*B*a*b^4*e^6*x^5+168*B*b^5*d*e^5*x^5+210*A*a*b^4*e^6*x^4+70*A*b^5*d*e^5*x^4+420*B*a^2*b^3*e^6*x^4+350*B*a*b^4*d*e^5*x^4+210*B*b^5*d^2*e^4*x^4+336*A*a^2*b^3*e^6*x^3+168*A*a*b^4*d*e^5*x^3+56*A*b^5*d^2*e^4*x^3+336*B*a^3*b^2*e^6*x^3+336*B*a^2*b^3*d*e^5*x^3+280*B*a*b^4*d^2*e^4*x^3+168*B*b^5*d^3*e^3*x^3+280*A*a^3*b^2*e^6*x^2+168*A*a^2*b^3*d*e^5*x^2+84*A*a*b^4*d^2*e^4*x^2+28*A*b^5*d^3*e^3*x^2+140*B*a^4*b*e^6*x^2+168*B*a^3*b^2*d*e^5*x^2+168*B*a^2*b^3*d^2*e^4*x^2+140*B*a*b^4*d^3*e^3*x^2+84*B*b^5*d^4*e^2*x^2+120*A*a^4*b*e^6*x+80*A*a^3*b^2*d*e^5*x+48*A*a^2*b^3*d^2*e^4*x+24*A*a*b^4*d^3*e^3*x+8*A*b^5*d^4*e^2*x+24*B*a^5*e^6*x+40*B*a^4*b*d*e^5*x+48*B*a^3*b^2*d^2*e^4*x+48*B*a^2*b^3*d^3*e^3*x+40*B*a*b^4*d^4*e^2*x+24*B*b^5*d^5*e*x+21*A*a^5*e^6+15*A*a^4*b*d*e^5+10*A*a^3*b^2*d^2*e^4+6*A*a^2*b^3*d^3*e^3+3*A*a*b^4*d^4*e^2+A*b^5*d^5*e+3*B*a^5*d*e^5+5*B*a^4*b*d^2*e^4+6*B*a^3*b^2*d^3*e^3+6*B*a^2*b^3*d^4*e^2+5*B*a*b^4*d^5*e+3*B*b^5*d^6)*((b*x+a)^2)^(5/2)/(e*x+d)^8/(b*x+a)^5","B"
1754,1,688,210,0.049000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^10,x)","-\frac{\left(168 B \,b^{5} e^{6} x^{6}+126 A \,b^{5} e^{6} x^{5}+630 B a \,b^{4} e^{6} x^{5}+252 B \,b^{5} d \,e^{5} x^{5}+504 A a \,b^{4} e^{6} x^{4}+126 A \,b^{5} d \,e^{5} x^{4}+1008 B \,a^{2} b^{3} e^{6} x^{4}+630 B a \,b^{4} d \,e^{5} x^{4}+252 B \,b^{5} d^{2} e^{4} x^{4}+840 A \,a^{2} b^{3} e^{6} x^{3}+336 A a \,b^{4} d \,e^{5} x^{3}+84 A \,b^{5} d^{2} e^{4} x^{3}+840 B \,a^{3} b^{2} e^{6} x^{3}+672 B \,a^{2} b^{3} d \,e^{5} x^{3}+420 B a \,b^{4} d^{2} e^{4} x^{3}+168 B \,b^{5} d^{3} e^{3} x^{3}+720 A \,a^{3} b^{2} e^{6} x^{2}+360 A \,a^{2} b^{3} d \,e^{5} x^{2}+144 A a \,b^{4} d^{2} e^{4} x^{2}+36 A \,b^{5} d^{3} e^{3} x^{2}+360 B \,a^{4} b \,e^{6} x^{2}+360 B \,a^{3} b^{2} d \,e^{5} x^{2}+288 B \,a^{2} b^{3} d^{2} e^{4} x^{2}+180 B a \,b^{4} d^{3} e^{3} x^{2}+72 B \,b^{5} d^{4} e^{2} x^{2}+315 A \,a^{4} b \,e^{6} x +180 A \,a^{3} b^{2} d \,e^{5} x +90 A \,a^{2} b^{3} d^{2} e^{4} x +36 A a \,b^{4} d^{3} e^{3} x +9 A \,b^{5} d^{4} e^{2} x +63 B \,a^{5} e^{6} x +90 B \,a^{4} b d \,e^{5} x +90 B \,a^{3} b^{2} d^{2} e^{4} x +72 B \,a^{2} b^{3} d^{3} e^{3} x +45 B a \,b^{4} d^{4} e^{2} x +18 B \,b^{5} d^{5} e x +56 A \,a^{5} e^{6}+35 A \,a^{4} b d \,e^{5}+20 A \,a^{3} b^{2} d^{2} e^{4}+10 A \,a^{2} b^{3} d^{3} e^{3}+4 A a \,b^{4} d^{4} e^{2}+A \,b^{5} d^{5} e +7 B \,a^{5} d \,e^{5}+10 B \,a^{4} b \,d^{2} e^{4}+10 B \,a^{3} b^{2} d^{3} e^{3}+8 B \,a^{2} b^{3} d^{4} e^{2}+5 B a \,b^{4} d^{5} e +2 B \,b^{5} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{504 \left(e x +d \right)^{9} \left(b x +a \right)^{5} e^{7}}"," ",0,"-1/504/e^7*(168*B*b^5*e^6*x^6+126*A*b^5*e^6*x^5+630*B*a*b^4*e^6*x^5+252*B*b^5*d*e^5*x^5+504*A*a*b^4*e^6*x^4+126*A*b^5*d*e^5*x^4+1008*B*a^2*b^3*e^6*x^4+630*B*a*b^4*d*e^5*x^4+252*B*b^5*d^2*e^4*x^4+840*A*a^2*b^3*e^6*x^3+336*A*a*b^4*d*e^5*x^3+84*A*b^5*d^2*e^4*x^3+840*B*a^3*b^2*e^6*x^3+672*B*a^2*b^3*d*e^5*x^3+420*B*a*b^4*d^2*e^4*x^3+168*B*b^5*d^3*e^3*x^3+720*A*a^3*b^2*e^6*x^2+360*A*a^2*b^3*d*e^5*x^2+144*A*a*b^4*d^2*e^4*x^2+36*A*b^5*d^3*e^3*x^2+360*B*a^4*b*e^6*x^2+360*B*a^3*b^2*d*e^5*x^2+288*B*a^2*b^3*d^2*e^4*x^2+180*B*a*b^4*d^3*e^3*x^2+72*B*b^5*d^4*e^2*x^2+315*A*a^4*b*e^6*x+180*A*a^3*b^2*d*e^5*x+90*A*a^2*b^3*d^2*e^4*x+36*A*a*b^4*d^3*e^3*x+9*A*b^5*d^4*e^2*x+63*B*a^5*e^6*x+90*B*a^4*b*d*e^5*x+90*B*a^3*b^2*d^2*e^4*x+72*B*a^2*b^3*d^3*e^3*x+45*B*a*b^4*d^4*e^2*x+18*B*b^5*d^5*e*x+56*A*a^5*e^6+35*A*a^4*b*d*e^5+20*A*a^3*b^2*d^2*e^4+10*A*a^2*b^3*d^3*e^3+4*A*a*b^4*d^4*e^2+A*b^5*d^5*e+7*B*a^5*d*e^5+10*B*a^4*b*d^2*e^4+10*B*a^3*b^2*d^3*e^3+8*B*a^2*b^3*d^4*e^2+5*B*a*b^4*d^5*e+2*B*b^5*d^6)*((b*x+a)^2)^(5/2)/(e*x+d)^9/(b*x+a)^5","B"
1755,1,689,347,0.056000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^11,x)","-\frac{\left(630 B \,b^{5} e^{6} x^{6}+504 A \,b^{5} e^{6} x^{5}+2520 B a \,b^{4} e^{6} x^{5}+756 B \,b^{5} d \,e^{5} x^{5}+2100 A a \,b^{4} e^{6} x^{4}+420 A \,b^{5} d \,e^{5} x^{4}+4200 B \,a^{2} b^{3} e^{6} x^{4}+2100 B a \,b^{4} d \,e^{5} x^{4}+630 B \,b^{5} d^{2} e^{4} x^{4}+3600 A \,a^{2} b^{3} e^{6} x^{3}+1200 A a \,b^{4} d \,e^{5} x^{3}+240 A \,b^{5} d^{2} e^{4} x^{3}+3600 B \,a^{3} b^{2} e^{6} x^{3}+2400 B \,a^{2} b^{3} d \,e^{5} x^{3}+1200 B a \,b^{4} d^{2} e^{4} x^{3}+360 B \,b^{5} d^{3} e^{3} x^{3}+3150 A \,a^{3} b^{2} e^{6} x^{2}+1350 A \,a^{2} b^{3} d \,e^{5} x^{2}+450 A a \,b^{4} d^{2} e^{4} x^{2}+90 A \,b^{5} d^{3} e^{3} x^{2}+1575 B \,a^{4} b \,e^{6} x^{2}+1350 B \,a^{3} b^{2} d \,e^{5} x^{2}+900 B \,a^{2} b^{3} d^{2} e^{4} x^{2}+450 B a \,b^{4} d^{3} e^{3} x^{2}+135 B \,b^{5} d^{4} e^{2} x^{2}+1400 A \,a^{4} b \,e^{6} x +700 A \,a^{3} b^{2} d \,e^{5} x +300 A \,a^{2} b^{3} d^{2} e^{4} x +100 A a \,b^{4} d^{3} e^{3} x +20 A \,b^{5} d^{4} e^{2} x +280 B \,a^{5} e^{6} x +350 B \,a^{4} b d \,e^{5} x +300 B \,a^{3} b^{2} d^{2} e^{4} x +200 B \,a^{2} b^{3} d^{3} e^{3} x +100 B a \,b^{4} d^{4} e^{2} x +30 B \,b^{5} d^{5} e x +252 A \,a^{5} e^{6}+140 A \,a^{4} b d \,e^{5}+70 A \,a^{3} b^{2} d^{2} e^{4}+30 A \,a^{2} b^{3} d^{3} e^{3}+10 A a \,b^{4} d^{4} e^{2}+2 A \,b^{5} d^{5} e +28 B \,a^{5} d \,e^{5}+35 B \,a^{4} b \,d^{2} e^{4}+30 B \,a^{3} b^{2} d^{3} e^{3}+20 B \,a^{2} b^{3} d^{4} e^{2}+10 B a \,b^{4} d^{5} e +3 B \,b^{5} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{2520 \left(e x +d \right)^{10} \left(b x +a \right)^{5} e^{7}}"," ",0,"-1/2520/e^7*(630*B*b^5*e^6*x^6+504*A*b^5*e^6*x^5+2520*B*a*b^4*e^6*x^5+756*B*b^5*d*e^5*x^5+2100*A*a*b^4*e^6*x^4+420*A*b^5*d*e^5*x^4+4200*B*a^2*b^3*e^6*x^4+2100*B*a*b^4*d*e^5*x^4+630*B*b^5*d^2*e^4*x^4+3600*A*a^2*b^3*e^6*x^3+1200*A*a*b^4*d*e^5*x^3+240*A*b^5*d^2*e^4*x^3+3600*B*a^3*b^2*e^6*x^3+2400*B*a^2*b^3*d*e^5*x^3+1200*B*a*b^4*d^2*e^4*x^3+360*B*b^5*d^3*e^3*x^3+3150*A*a^3*b^2*e^6*x^2+1350*A*a^2*b^3*d*e^5*x^2+450*A*a*b^4*d^2*e^4*x^2+90*A*b^5*d^3*e^3*x^2+1575*B*a^4*b*e^6*x^2+1350*B*a^3*b^2*d*e^5*x^2+900*B*a^2*b^3*d^2*e^4*x^2+450*B*a*b^4*d^3*e^3*x^2+135*B*b^5*d^4*e^2*x^2+1400*A*a^4*b*e^6*x+700*A*a^3*b^2*d*e^5*x+300*A*a^2*b^3*d^2*e^4*x+100*A*a*b^4*d^3*e^3*x+20*A*b^5*d^4*e^2*x+280*B*a^5*e^6*x+350*B*a^4*b*d*e^5*x+300*B*a^3*b^2*d^2*e^4*x+200*B*a^2*b^3*d^3*e^3*x+100*B*a*b^4*d^4*e^2*x+30*B*b^5*d^5*e*x+252*A*a^5*e^6+140*A*a^4*b*d*e^5+70*A*a^3*b^2*d^2*e^4+30*A*a^2*b^3*d^3*e^3+10*A*a*b^4*d^4*e^2+2*A*b^5*d^5*e+28*B*a^5*d*e^5+35*B*a^4*b*d^2*e^4+30*B*a^3*b^2*d^3*e^3+20*B*a^2*b^3*d^4*e^2+10*B*a*b^4*d^5*e+3*B*b^5*d^6)*((b*x+a)^2)^(5/2)/(e*x+d)^10/(b*x+a)^5","A"
1756,1,689,347,0.053000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^12,x)","-\frac{\left(2772 B \,b^{5} e^{6} x^{6}+2310 A \,b^{5} e^{6} x^{5}+11550 B a \,b^{4} e^{6} x^{5}+2772 B \,b^{5} d \,e^{5} x^{5}+9900 A a \,b^{4} e^{6} x^{4}+1650 A \,b^{5} d \,e^{5} x^{4}+19800 B \,a^{2} b^{3} e^{6} x^{4}+8250 B a \,b^{4} d \,e^{5} x^{4}+1980 B \,b^{5} d^{2} e^{4} x^{4}+17325 A \,a^{2} b^{3} e^{6} x^{3}+4950 A a \,b^{4} d \,e^{5} x^{3}+825 A \,b^{5} d^{2} e^{4} x^{3}+17325 B \,a^{3} b^{2} e^{6} x^{3}+9900 B \,a^{2} b^{3} d \,e^{5} x^{3}+4125 B a \,b^{4} d^{2} e^{4} x^{3}+990 B \,b^{5} d^{3} e^{3} x^{3}+15400 A \,a^{3} b^{2} e^{6} x^{2}+5775 A \,a^{2} b^{3} d \,e^{5} x^{2}+1650 A a \,b^{4} d^{2} e^{4} x^{2}+275 A \,b^{5} d^{3} e^{3} x^{2}+7700 B \,a^{4} b \,e^{6} x^{2}+5775 B \,a^{3} b^{2} d \,e^{5} x^{2}+3300 B \,a^{2} b^{3} d^{2} e^{4} x^{2}+1375 B a \,b^{4} d^{3} e^{3} x^{2}+330 B \,b^{5} d^{4} e^{2} x^{2}+6930 A \,a^{4} b \,e^{6} x +3080 A \,a^{3} b^{2} d \,e^{5} x +1155 A \,a^{2} b^{3} d^{2} e^{4} x +330 A a \,b^{4} d^{3} e^{3} x +55 A \,b^{5} d^{4} e^{2} x +1386 B \,a^{5} e^{6} x +1540 B \,a^{4} b d \,e^{5} x +1155 B \,a^{3} b^{2} d^{2} e^{4} x +660 B \,a^{2} b^{3} d^{3} e^{3} x +275 B a \,b^{4} d^{4} e^{2} x +66 B \,b^{5} d^{5} e x +1260 A \,a^{5} e^{6}+630 A \,a^{4} b d \,e^{5}+280 A \,a^{3} b^{2} d^{2} e^{4}+105 A \,a^{2} b^{3} d^{3} e^{3}+30 A a \,b^{4} d^{4} e^{2}+5 A \,b^{5} d^{5} e +126 B \,a^{5} d \,e^{5}+140 B \,a^{4} b \,d^{2} e^{4}+105 B \,a^{3} b^{2} d^{3} e^{3}+60 B \,a^{2} b^{3} d^{4} e^{2}+25 B a \,b^{4} d^{5} e +6 B \,b^{5} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{13860 \left(e x +d \right)^{11} \left(b x +a \right)^{5} e^{7}}"," ",0,"-1/13860/e^7*(2772*B*b^5*e^6*x^6+2310*A*b^5*e^6*x^5+11550*B*a*b^4*e^6*x^5+2772*B*b^5*d*e^5*x^5+9900*A*a*b^4*e^6*x^4+1650*A*b^5*d*e^5*x^4+19800*B*a^2*b^3*e^6*x^4+8250*B*a*b^4*d*e^5*x^4+1980*B*b^5*d^2*e^4*x^4+17325*A*a^2*b^3*e^6*x^3+4950*A*a*b^4*d*e^5*x^3+825*A*b^5*d^2*e^4*x^3+17325*B*a^3*b^2*e^6*x^3+9900*B*a^2*b^3*d*e^5*x^3+4125*B*a*b^4*d^2*e^4*x^3+990*B*b^5*d^3*e^3*x^3+15400*A*a^3*b^2*e^6*x^2+5775*A*a^2*b^3*d*e^5*x^2+1650*A*a*b^4*d^2*e^4*x^2+275*A*b^5*d^3*e^3*x^2+7700*B*a^4*b*e^6*x^2+5775*B*a^3*b^2*d*e^5*x^2+3300*B*a^2*b^3*d^2*e^4*x^2+1375*B*a*b^4*d^3*e^3*x^2+330*B*b^5*d^4*e^2*x^2+6930*A*a^4*b*e^6*x+3080*A*a^3*b^2*d*e^5*x+1155*A*a^2*b^3*d^2*e^4*x+330*A*a*b^4*d^3*e^3*x+55*A*b^5*d^4*e^2*x+1386*B*a^5*e^6*x+1540*B*a^4*b*d*e^5*x+1155*B*a^3*b^2*d^2*e^4*x+660*B*a^2*b^3*d^3*e^3*x+275*B*a*b^4*d^4*e^2*x+66*B*b^5*d^5*e*x+1260*A*a^5*e^6+630*A*a^4*b*d*e^5+280*A*a^3*b^2*d^2*e^4+105*A*a^2*b^3*d^3*e^3+30*A*a*b^4*d^4*e^2+5*A*b^5*d^5*e+126*B*a^5*d*e^5+140*B*a^4*b*d^2*e^4+105*B*a^3*b^2*d^3*e^3+60*B*a^2*b^3*d^4*e^2+25*B*a*b^4*d^5*e+6*B*b^5*d^6)*((b*x+a)^2)^(5/2)/(e*x+d)^11/(b*x+a)^5","A"
1757,1,687,347,0.058000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^13,x)","-\frac{\left(924 B \,b^{5} e^{6} x^{6}+792 A \,b^{5} e^{6} x^{5}+3960 B a \,b^{4} e^{6} x^{5}+792 B \,b^{5} d \,e^{5} x^{5}+3465 A a \,b^{4} e^{6} x^{4}+495 A \,b^{5} d \,e^{5} x^{4}+6930 B \,a^{2} b^{3} e^{6} x^{4}+2475 B a \,b^{4} d \,e^{5} x^{4}+495 B \,b^{5} d^{2} e^{4} x^{4}+6160 A \,a^{2} b^{3} e^{6} x^{3}+1540 A a \,b^{4} d \,e^{5} x^{3}+220 A \,b^{5} d^{2} e^{4} x^{3}+6160 B \,a^{3} b^{2} e^{6} x^{3}+3080 B \,a^{2} b^{3} d \,e^{5} x^{3}+1100 B a \,b^{4} d^{2} e^{4} x^{3}+220 B \,b^{5} d^{3} e^{3} x^{3}+5544 A \,a^{3} b^{2} e^{6} x^{2}+1848 A \,a^{2} b^{3} d \,e^{5} x^{2}+462 A a \,b^{4} d^{2} e^{4} x^{2}+66 A \,b^{5} d^{3} e^{3} x^{2}+2772 B \,a^{4} b \,e^{6} x^{2}+1848 B \,a^{3} b^{2} d \,e^{5} x^{2}+924 B \,a^{2} b^{3} d^{2} e^{4} x^{2}+330 B a \,b^{4} d^{3} e^{3} x^{2}+66 B \,b^{5} d^{4} e^{2} x^{2}+2520 A \,a^{4} b \,e^{6} x +1008 A \,a^{3} b^{2} d \,e^{5} x +336 A \,a^{2} b^{3} d^{2} e^{4} x +84 A a \,b^{4} d^{3} e^{3} x +12 A \,b^{5} d^{4} e^{2} x +504 B \,a^{5} e^{6} x +504 B \,a^{4} b d \,e^{5} x +336 B \,a^{3} b^{2} d^{2} e^{4} x +168 B \,a^{2} b^{3} d^{3} e^{3} x +60 B a \,b^{4} d^{4} e^{2} x +12 B \,b^{5} d^{5} e x +462 A \,a^{5} e^{6}+210 A \,a^{4} b d \,e^{5}+84 A \,a^{3} b^{2} d^{2} e^{4}+28 A \,a^{2} b^{3} d^{3} e^{3}+7 A a \,b^{4} d^{4} e^{2}+A \,b^{5} d^{5} e +42 B \,a^{5} d \,e^{5}+42 B \,a^{4} b \,d^{2} e^{4}+28 B \,a^{3} b^{2} d^{3} e^{3}+14 B \,a^{2} b^{3} d^{4} e^{2}+5 B a \,b^{4} d^{5} e +B \,b^{5} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{5544 \left(e x +d \right)^{12} \left(b x +a \right)^{5} e^{7}}"," ",0,"-1/5544/e^7*(924*B*b^5*e^6*x^6+792*A*b^5*e^6*x^5+3960*B*a*b^4*e^6*x^5+792*B*b^5*d*e^5*x^5+3465*A*a*b^4*e^6*x^4+495*A*b^5*d*e^5*x^4+6930*B*a^2*b^3*e^6*x^4+2475*B*a*b^4*d*e^5*x^4+495*B*b^5*d^2*e^4*x^4+6160*A*a^2*b^3*e^6*x^3+1540*A*a*b^4*d*e^5*x^3+220*A*b^5*d^2*e^4*x^3+6160*B*a^3*b^2*e^6*x^3+3080*B*a^2*b^3*d*e^5*x^3+1100*B*a*b^4*d^2*e^4*x^3+220*B*b^5*d^3*e^3*x^3+5544*A*a^3*b^2*e^6*x^2+1848*A*a^2*b^3*d*e^5*x^2+462*A*a*b^4*d^2*e^4*x^2+66*A*b^5*d^3*e^3*x^2+2772*B*a^4*b*e^6*x^2+1848*B*a^3*b^2*d*e^5*x^2+924*B*a^2*b^3*d^2*e^4*x^2+330*B*a*b^4*d^3*e^3*x^2+66*B*b^5*d^4*e^2*x^2+2520*A*a^4*b*e^6*x+1008*A*a^3*b^2*d*e^5*x+336*A*a^2*b^3*d^2*e^4*x+84*A*a*b^4*d^3*e^3*x+12*A*b^5*d^4*e^2*x+504*B*a^5*e^6*x+504*B*a^4*b*d*e^5*x+336*B*a^3*b^2*d^2*e^4*x+168*B*a^2*b^3*d^3*e^3*x+60*B*a*b^4*d^4*e^2*x+12*B*b^5*d^5*e*x+462*A*a^5*e^6+210*A*a^4*b*d*e^5+84*A*a^3*b^2*d^2*e^4+28*A*a^2*b^3*d^3*e^3+7*A*a*b^4*d^4*e^2+A*b^5*d^5*e+42*B*a^5*d*e^5+42*B*a^4*b*d^2*e^4+28*B*a^3*b^2*d^3*e^3+14*B*a^2*b^3*d^4*e^2+5*B*a*b^4*d^5*e+B*b^5*d^6)*((b*x+a)^2)^(5/2)/(e*x+d)^12/(b*x+a)^5","A"
1758,1,689,346,0.061000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^14,x)","-\frac{\left(10296 B \,b^{5} e^{6} x^{6}+9009 A \,b^{5} e^{6} x^{5}+45045 B a \,b^{4} e^{6} x^{5}+7722 B \,b^{5} d \,e^{5} x^{5}+40040 A a \,b^{4} e^{6} x^{4}+5005 A \,b^{5} d \,e^{5} x^{4}+80080 B \,a^{2} b^{3} e^{6} x^{4}+25025 B a \,b^{4} d \,e^{5} x^{4}+4290 B \,b^{5} d^{2} e^{4} x^{4}+72072 A \,a^{2} b^{3} e^{6} x^{3}+16016 A a \,b^{4} d \,e^{5} x^{3}+2002 A \,b^{5} d^{2} e^{4} x^{3}+72072 B \,a^{3} b^{2} e^{6} x^{3}+32032 B \,a^{2} b^{3} d \,e^{5} x^{3}+10010 B a \,b^{4} d^{2} e^{4} x^{3}+1716 B \,b^{5} d^{3} e^{3} x^{3}+65520 A \,a^{3} b^{2} e^{6} x^{2}+19656 A \,a^{2} b^{3} d \,e^{5} x^{2}+4368 A a \,b^{4} d^{2} e^{4} x^{2}+546 A \,b^{5} d^{3} e^{3} x^{2}+32760 B \,a^{4} b \,e^{6} x^{2}+19656 B \,a^{3} b^{2} d \,e^{5} x^{2}+8736 B \,a^{2} b^{3} d^{2} e^{4} x^{2}+2730 B a \,b^{4} d^{3} e^{3} x^{2}+468 B \,b^{5} d^{4} e^{2} x^{2}+30030 A \,a^{4} b \,e^{6} x +10920 A \,a^{3} b^{2} d \,e^{5} x +3276 A \,a^{2} b^{3} d^{2} e^{4} x +728 A a \,b^{4} d^{3} e^{3} x +91 A \,b^{5} d^{4} e^{2} x +6006 B \,a^{5} e^{6} x +5460 B \,a^{4} b d \,e^{5} x +3276 B \,a^{3} b^{2} d^{2} e^{4} x +1456 B \,a^{2} b^{3} d^{3} e^{3} x +455 B a \,b^{4} d^{4} e^{2} x +78 B \,b^{5} d^{5} e x +5544 A \,a^{5} e^{6}+2310 A \,a^{4} b d \,e^{5}+840 A \,a^{3} b^{2} d^{2} e^{4}+252 A \,a^{2} b^{3} d^{3} e^{3}+56 A a \,b^{4} d^{4} e^{2}+7 A \,b^{5} d^{5} e +462 B \,a^{5} d \,e^{5}+420 B \,a^{4} b \,d^{2} e^{4}+252 B \,a^{3} b^{2} d^{3} e^{3}+112 B \,a^{2} b^{3} d^{4} e^{2}+35 B a \,b^{4} d^{5} e +6 B \,b^{5} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{72072 \left(e x +d \right)^{13} \left(b x +a \right)^{5} e^{7}}"," ",0,"-1/72072/e^7*(10296*B*b^5*e^6*x^6+9009*A*b^5*e^6*x^5+45045*B*a*b^4*e^6*x^5+7722*B*b^5*d*e^5*x^5+40040*A*a*b^4*e^6*x^4+5005*A*b^5*d*e^5*x^4+80080*B*a^2*b^3*e^6*x^4+25025*B*a*b^4*d*e^5*x^4+4290*B*b^5*d^2*e^4*x^4+72072*A*a^2*b^3*e^6*x^3+16016*A*a*b^4*d*e^5*x^3+2002*A*b^5*d^2*e^4*x^3+72072*B*a^3*b^2*e^6*x^3+32032*B*a^2*b^3*d*e^5*x^3+10010*B*a*b^4*d^2*e^4*x^3+1716*B*b^5*d^3*e^3*x^3+65520*A*a^3*b^2*e^6*x^2+19656*A*a^2*b^3*d*e^5*x^2+4368*A*a*b^4*d^2*e^4*x^2+546*A*b^5*d^3*e^3*x^2+32760*B*a^4*b*e^6*x^2+19656*B*a^3*b^2*d*e^5*x^2+8736*B*a^2*b^3*d^2*e^4*x^2+2730*B*a*b^4*d^3*e^3*x^2+468*B*b^5*d^4*e^2*x^2+30030*A*a^4*b*e^6*x+10920*A*a^3*b^2*d*e^5*x+3276*A*a^2*b^3*d^2*e^4*x+728*A*a*b^4*d^3*e^3*x+91*A*b^5*d^4*e^2*x+6006*B*a^5*e^6*x+5460*B*a^4*b*d*e^5*x+3276*B*a^3*b^2*d^2*e^4*x+1456*B*a^2*b^3*d^3*e^3*x+455*B*a*b^4*d^4*e^2*x+78*B*b^5*d^5*e*x+5544*A*a^5*e^6+2310*A*a^4*b*d*e^5+840*A*a^3*b^2*d^2*e^4+252*A*a^2*b^3*d^3*e^3+56*A*a*b^4*d^4*e^2+7*A*b^5*d^5*e+462*B*a^5*d*e^5+420*B*a^4*b*d^2*e^4+252*B*a^3*b^2*d^3*e^3+112*B*a^2*b^3*d^4*e^2+35*B*a*b^4*d^5*e+6*B*b^5*d^6)*((b*x+a)^2)^(5/2)/(e*x+d)^13/(b*x+a)^5","A"
1759,1,356,187,0.063000," ","int((B*x+A)*(e*x+d)^3/((b*x+a)^2)^(1/2),x)","-\frac{\left(b x +a \right) \left(-3 B \,b^{4} e^{3} x^{4}-4 A \,b^{4} e^{3} x^{3}+4 B a \,b^{3} e^{3} x^{3}-12 B \,b^{4} d \,e^{2} x^{3}+6 A a \,b^{3} e^{3} x^{2}-18 A \,b^{4} d \,e^{2} x^{2}-6 B \,a^{2} b^{2} e^{3} x^{2}+18 B a \,b^{3} d \,e^{2} x^{2}-18 B \,b^{4} d^{2} e \,x^{2}+12 A \,a^{3} b \,e^{3} \ln \left(b x +a \right)-36 A \,a^{2} b^{2} d \,e^{2} \ln \left(b x +a \right)-12 A \,a^{2} b^{2} e^{3} x +36 A a \,b^{3} d^{2} e \ln \left(b x +a \right)+36 A a \,b^{3} d \,e^{2} x -12 A \,b^{4} d^{3} \ln \left(b x +a \right)-36 A \,b^{4} d^{2} e x -12 B \,a^{4} e^{3} \ln \left(b x +a \right)+36 B \,a^{3} b d \,e^{2} \ln \left(b x +a \right)+12 B \,a^{3} b \,e^{3} x -36 B \,a^{2} b^{2} d^{2} e \ln \left(b x +a \right)-36 B \,a^{2} b^{2} d \,e^{2} x +12 B a \,b^{3} d^{3} \ln \left(b x +a \right)+36 B a \,b^{3} d^{2} e x -12 B \,b^{4} d^{3} x \right)}{12 \sqrt{\left(b x +a \right)^{2}}\, b^{5}}"," ",0,"-1/12*(b*x+a)*(-3*B*x^4*b^4*e^3-4*A*x^3*b^4*e^3+4*B*x^3*a*b^3*e^3-12*B*x^3*b^4*d*e^2+6*A*x^2*a*b^3*e^3-18*A*x^2*b^4*d*e^2-6*B*x^2*a^2*b^2*e^3+18*B*x^2*a*b^3*d*e^2-18*B*x^2*b^4*d^2*e+12*A*ln(b*x+a)*a^3*b*e^3-36*A*ln(b*x+a)*a^2*b^2*d*e^2+36*A*ln(b*x+a)*a*b^3*d^2*e-12*A*ln(b*x+a)*b^4*d^3-12*A*x*a^2*b^2*e^3+36*A*x*a*b^3*d*e^2-36*A*x*b^4*d^2*e-12*B*ln(b*x+a)*a^4*e^3+36*B*ln(b*x+a)*a^3*b*d*e^2-36*B*ln(b*x+a)*a^2*b^2*d^2*e+12*B*ln(b*x+a)*a*b^3*d^3+12*B*x*a^3*b*e^3-36*B*x*a^2*b^2*d*e^2+36*B*x*a*b^3*d^2*e-12*B*x*b^4*d^3)/((b*x+a)^2)^(1/2)/b^5","A"
1760,1,212,143,0.058000," ","int((B*x+A)*(e*x+d)^2/((b*x+a)^2)^(1/2),x)","\frac{\left(b x +a \right) \left(2 B \,b^{3} e^{2} x^{3}+3 A \,b^{3} e^{2} x^{2}-3 B a \,b^{2} e^{2} x^{2}+6 B \,b^{3} d e \,x^{2}+6 A \,a^{2} b \,e^{2} \ln \left(b x +a \right)-12 A a \,b^{2} d e \ln \left(b x +a \right)-6 A a \,b^{2} e^{2} x +6 A \,b^{3} d^{2} \ln \left(b x +a \right)+12 A \,b^{3} d e x -6 B \,a^{3} e^{2} \ln \left(b x +a \right)+12 B \,a^{2} b d e \ln \left(b x +a \right)+6 B \,a^{2} b \,e^{2} x -6 B a \,b^{2} d^{2} \ln \left(b x +a \right)-12 B a \,b^{2} d e x +6 B \,b^{3} d^{2} x \right)}{6 \sqrt{\left(b x +a \right)^{2}}\, b^{4}}"," ",0,"1/6*(b*x+a)*(2*B*x^3*b^3*e^2+3*A*x^2*b^3*e^2-3*B*x^2*a*b^2*e^2+6*B*x^2*b^3*d*e+6*A*ln(b*x+a)*a^2*b*e^2-12*A*ln(b*x+a)*a*b^2*d*e+6*A*ln(b*x+a)*b^3*d^2-6*A*x*a*b^2*e^2+12*A*x*b^3*d*e-6*B*ln(b*x+a)*a^3*e^2+12*B*ln(b*x+a)*a^2*b*d*e-6*B*ln(b*x+a)*a*b^2*d^2+6*B*x*a^2*b*e^2-12*B*x*a*b^2*d*e+6*B*x*b^3*d^2)/((b*x+a)^2)^(1/2)/b^4","A"
1761,1,104,99,0.059000," ","int((B*x+A)*(e*x+d)/((b*x+a)^2)^(1/2),x)","-\frac{\left(b x +a \right) \left(-B \,b^{2} e \,x^{2}+2 A a b e \ln \left(b x +a \right)-2 A \,b^{2} d \ln \left(b x +a \right)-2 A \,b^{2} e x -2 B \,a^{2} e \ln \left(b x +a \right)+2 B a b d \ln \left(b x +a \right)+2 B a b e x -2 B \,b^{2} d x \right)}{2 \sqrt{\left(b x +a \right)^{2}}\, b^{3}}"," ",0,"-1/2*(b*x+a)*(-B*x^2*b^2*e+2*A*ln(b*x+a)*a*b*e-2*A*ln(b*x+a)*b^2*d-2*A*x*b^2*e-2*B*ln(b*x+a)*a^2*e+2*B*ln(b*x+a)*a*b*d+2*B*x*a*b*e-2*B*x*b^2*d)/((b*x+a)^2)^(1/2)/b^3","A"
1762,1,43,47,0.049000," ","int((B*x+A)/((b*x+a)^2)^(1/2),x)","\frac{\left(b x +a \right) \left(A b \ln \left(b x +a \right)-B a \ln \left(b x +a \right)+B b x \right)}{\sqrt{\left(b x +a \right)^{2}}\, b^{2}}"," ",0,"(b*x+a)*(A*ln(b*x+a)*b-B*ln(b*x+a)*a+B*b*x)/((b*x+a)^2)^(1/2)/b^2","A"
1763,1,76,85,0.056000," ","int((B*x+A)/(e*x+d)/((b*x+a)^2)^(1/2),x)","-\frac{\left(b x +a \right) \left(A b e \ln \left(b x +a \right)-A b e \ln \left(e x +d \right)-B a e \ln \left(b x +a \right)+B b d \ln \left(e x +d \right)\right)}{\sqrt{\left(b x +a \right)^{2}}\, \left(a e -b d \right) b e}"," ",0,"-(b*x+a)*(A*ln(b*x+a)*b*e-A*ln(e*x+d)*b*e-B*ln(b*x+a)*a*e+B*ln(e*x+d)*b*d)/((b*x+a)^2)^(1/2)/(a*e-b*d)/b/e","A"
1764,1,161,115,0.062000," ","int((B*x+A)/(e*x+d)^2/((b*x+a)^2)^(1/2),x)","\frac{\left(b x +a \right) \left(A b \,e^{2} x \ln \left(b x +a \right)-A b \,e^{2} x \ln \left(e x +d \right)-B a \,e^{2} x \ln \left(b x +a \right)+B a \,e^{2} x \ln \left(e x +d \right)+A b d e \ln \left(b x +a \right)-A b d e \ln \left(e x +d \right)-B a d e \ln \left(b x +a \right)+B a d e \ln \left(e x +d \right)-A a \,e^{2}+A b d e +B a d e -B b \,d^{2}\right)}{\sqrt{\left(b x +a \right)^{2}}\, \left(a e -b d \right)^{2} \left(e x +d \right) e}"," ",0,"(b*x+a)*(A*ln(b*x+a)*x*b*e^2-A*ln(e*x+d)*x*b*e^2-B*ln(b*x+a)*x*a*e^2+B*ln(e*x+d)*x*a*e^2+A*ln(b*x+a)*b*d*e-A*ln(e*x+d)*b*d*e-B*ln(b*x+a)*a*d*e+B*ln(e*x+d)*a*d*e-A*a*e^2+A*b*d*e+B*a*d*e-B*b*d^2)/((b*x+a)^2)^(1/2)/(a*e-b*d)^2/e/(e*x+d)","A"
1765,1,321,166,0.068000," ","int((B*x+A)/(e*x+d)^3/((b*x+a)^2)^(1/2),x)","-\frac{\left(b x +a \right) \left(2 A \,b^{2} e^{3} x^{2} \ln \left(b x +a \right)-2 A \,b^{2} e^{3} x^{2} \ln \left(e x +d \right)-2 B a b \,e^{3} x^{2} \ln \left(b x +a \right)+2 B a b \,e^{3} x^{2} \ln \left(e x +d \right)+4 A \,b^{2} d \,e^{2} x \ln \left(b x +a \right)-4 A \,b^{2} d \,e^{2} x \ln \left(e x +d \right)-4 B a b d \,e^{2} x \ln \left(b x +a \right)+4 B a b d \,e^{2} x \ln \left(e x +d \right)-2 A a b \,e^{3} x +2 A \,b^{2} d^{2} e \ln \left(b x +a \right)-2 A \,b^{2} d^{2} e \ln \left(e x +d \right)+2 A \,b^{2} d \,e^{2} x +2 B \,a^{2} e^{3} x -2 B a b \,d^{2} e \ln \left(b x +a \right)+2 B a b \,d^{2} e \ln \left(e x +d \right)-2 B a b d \,e^{2} x +A \,a^{2} e^{3}-4 A a b d \,e^{2}+3 A \,b^{2} d^{2} e +B \,a^{2} d \,e^{2}-B \,b^{2} d^{3}\right)}{2 \sqrt{\left(b x +a \right)^{2}}\, \left(a e -b d \right)^{3} \left(e x +d \right)^{2} e}"," ",0,"-1/2*(b*x+a)*(2*A*ln(b*x+a)*x^2*b^2*e^3-2*A*ln(e*x+d)*x^2*b^2*e^3-2*B*ln(b*x+a)*x^2*a*b*e^3+2*B*ln(e*x+d)*x^2*a*b*e^3+4*A*ln(b*x+a)*x*b^2*d*e^2-4*A*ln(e*x+d)*x*b^2*d*e^2-4*B*ln(b*x+a)*x*a*b*d*e^2+4*B*ln(e*x+d)*x*a*b*d*e^2+2*A*ln(b*x+a)*b^2*d^2*e-2*A*ln(e*x+d)*b^2*d^2*e-2*A*x*a*b*e^3+2*A*x*b^2*d*e^2-2*B*ln(b*x+a)*a*b*d^2*e+2*B*ln(e*x+d)*a*b*d^2*e+2*B*x*a^2*e^3-2*B*x*a*b*d*e^2+A*a^2*e^3-4*A*a*b*d*e^2+3*A*b^2*d^2*e+B*d*a^2*e^2-B*b^2*d^3)/((b*x+a)^2)^(1/2)/(a*e-b*d)^3/e/(e*x+d)^2","A"
1766,1,545,212,0.063000," ","int((B*x+A)/(e*x+d)^4/((b*x+a)^2)^(1/2),x)","\frac{\left(b x +a \right) \left(6 A \,b^{3} e^{4} x^{3} \ln \left(b x +a \right)-6 A \,b^{3} e^{4} x^{3} \ln \left(e x +d \right)-6 B a \,b^{2} e^{4} x^{3} \ln \left(b x +a \right)+6 B a \,b^{2} e^{4} x^{3} \ln \left(e x +d \right)+18 A \,b^{3} d \,e^{3} x^{2} \ln \left(b x +a \right)-18 A \,b^{3} d \,e^{3} x^{2} \ln \left(e x +d \right)-18 B a \,b^{2} d \,e^{3} x^{2} \ln \left(b x +a \right)+18 B a \,b^{2} d \,e^{3} x^{2} \ln \left(e x +d \right)-6 A a \,b^{2} e^{4} x^{2}+18 A \,b^{3} d^{2} e^{2} x \ln \left(b x +a \right)-18 A \,b^{3} d^{2} e^{2} x \ln \left(e x +d \right)+6 A \,b^{3} d \,e^{3} x^{2}+6 B \,a^{2} b \,e^{4} x^{2}-18 B a \,b^{2} d^{2} e^{2} x \ln \left(b x +a \right)+18 B a \,b^{2} d^{2} e^{2} x \ln \left(e x +d \right)-6 B a \,b^{2} d \,e^{3} x^{2}+3 A \,a^{2} b \,e^{4} x -18 A a \,b^{2} d \,e^{3} x +6 A \,b^{3} d^{3} e \ln \left(b x +a \right)-6 A \,b^{3} d^{3} e \ln \left(e x +d \right)+15 A \,b^{3} d^{2} e^{2} x -3 B \,a^{3} e^{4} x +18 B \,a^{2} b d \,e^{3} x -6 B a \,b^{2} d^{3} e \ln \left(b x +a \right)+6 B a \,b^{2} d^{3} e \ln \left(e x +d \right)-15 B a \,b^{2} d^{2} e^{2} x -2 A \,a^{3} e^{4}+9 A \,a^{2} b d \,e^{3}-18 A a \,b^{2} d^{2} e^{2}+11 A \,b^{3} d^{3} e -B \,a^{3} d \,e^{3}+6 B \,a^{2} b \,d^{2} e^{2}-3 B a \,b^{2} d^{3} e -2 B \,b^{3} d^{4}\right)}{6 \sqrt{\left(b x +a \right)^{2}}\, \left(a e -b d \right)^{4} \left(e x +d \right)^{3} e}"," ",0,"1/6*(b*x+a)*(18*B*a^2*b*d*e^3*x-15*B*a*b^2*d^2*e^2*x+6*B*a*b^2*d^3*e*ln(e*x+d)-18*A*a*b^2*d*e^3*x+18*B*a*b^2*d*e^3*x^2*ln(e*x+d)+18*A*ln(b*x+a)*x*b^3*d^2*e^2-6*B*ln(b*x+a)*a*b^2*d^3*e-6*B*a*b^2*d*e^3*x^2-18*B*ln(b*x+a)*x^2*a*b^2*d*e^3-18*B*ln(b*x+a)*x*a*b^2*d^2*e^2+18*A*ln(b*x+a)*x^2*b^3*d*e^3-6*B*ln(b*x+a)*x^3*a*b^2*e^4+11*A*b^3*d^3*e-2*A*a^3*e^4-2*B*b^3*d^4-6*A*a*b^2*e^4*x^2+6*A*b^3*d*e^3*x^2+6*B*a^2*b*e^4*x^2-6*A*b^3*d^3*e*ln(e*x+d)-B*a^3*d*e^3-3*B*a*b^2*d^3*e+18*B*a*b^2*d^2*e^2*x*ln(e*x+d)+6*B*a^2*b*d^2*e^2-18*A*a*b^2*d^2*e^2+6*A*ln(b*x+a)*x^3*b^3*e^4+9*A*a^2*b*d*e^3-18*A*b^3*d^2*e^2*x*ln(e*x+d)+3*A*a^2*b*e^4*x+15*A*b^3*d^2*e^2*x-18*A*b^3*d*e^3*x^2*ln(e*x+d)-3*B*a^3*e^4*x+6*B*a*b^2*e^4*x^3*ln(e*x+d)-6*A*b^3*e^4*x^3*ln(e*x+d)+6*A*ln(b*x+a)*b^3*d^3*e)/((b*x+a)^2)^(1/2)/(a*e-b*d)^4/e/(e*x+d)^3","B"
1767,1,858,257,0.079000," ","int((B*x+A)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(2 B \,b^{5} e^{4} x^{5}+3 A \,b^{5} e^{4} x^{4}-5 B a \,b^{4} e^{4} x^{4}+12 B \,b^{5} d \,e^{3} x^{4}+36 A \,a^{2} b^{3} e^{4} x^{2} \ln \left(b x +a \right)-72 A a \,b^{4} d \,e^{3} x^{2} \ln \left(b x +a \right)-12 A a \,b^{4} e^{4} x^{3}+36 A \,b^{5} d^{2} e^{2} x^{2} \ln \left(b x +a \right)+24 A \,b^{5} d \,e^{3} x^{3}-60 B \,a^{3} b^{2} e^{4} x^{2} \ln \left(b x +a \right)+144 B \,a^{2} b^{3} d \,e^{3} x^{2} \ln \left(b x +a \right)+20 B \,a^{2} b^{3} e^{4} x^{3}-108 B a \,b^{4} d^{2} e^{2} x^{2} \ln \left(b x +a \right)-48 B a \,b^{4} d \,e^{3} x^{3}+24 B \,b^{5} d^{3} e \,x^{2} \ln \left(b x +a \right)+36 B \,b^{5} d^{2} e^{2} x^{3}+72 A \,a^{3} b^{2} e^{4} x \ln \left(b x +a \right)-144 A \,a^{2} b^{3} d \,e^{3} x \ln \left(b x +a \right)-33 A \,a^{2} b^{3} e^{4} x^{2}+72 A a \,b^{4} d^{2} e^{2} x \ln \left(b x +a \right)+48 A a \,b^{4} d \,e^{3} x^{2}-120 B \,a^{4} b \,e^{4} x \ln \left(b x +a \right)+288 B \,a^{3} b^{2} d \,e^{3} x \ln \left(b x +a \right)+63 B \,a^{3} b^{2} e^{4} x^{2}-216 B \,a^{2} b^{3} d^{2} e^{2} x \ln \left(b x +a \right)-132 B \,a^{2} b^{3} d \,e^{3} x^{2}+48 B a \,b^{4} d^{3} e x \ln \left(b x +a \right)+72 B a \,b^{4} d^{2} e^{2} x^{2}+36 A \,a^{4} b \,e^{4} \ln \left(b x +a \right)-72 A \,a^{3} b^{2} d \,e^{3} \ln \left(b x +a \right)+6 A \,a^{3} b^{2} e^{4} x +36 A \,a^{2} b^{3} d^{2} e^{2} \ln \left(b x +a \right)-48 A \,a^{2} b^{3} d \,e^{3} x +72 A a \,b^{4} d^{2} e^{2} x -24 A \,b^{5} d^{3} e x -60 B \,a^{5} e^{4} \ln \left(b x +a \right)+144 B \,a^{4} b d \,e^{3} \ln \left(b x +a \right)+6 B \,a^{4} b \,e^{4} x -108 B \,a^{3} b^{2} d^{2} e^{2} \ln \left(b x +a \right)+24 B \,a^{3} b^{2} d \,e^{3} x +24 B \,a^{2} b^{3} d^{3} e \ln \left(b x +a \right)-72 B \,a^{2} b^{3} d^{2} e^{2} x +48 B a \,b^{4} d^{3} e x -6 B \,b^{5} d^{4} x +21 A \,a^{4} b \,e^{4}-60 A \,a^{3} b^{2} d \,e^{3}+54 A \,a^{2} b^{3} d^{2} e^{2}-12 A a \,b^{4} d^{3} e -3 A \,b^{5} d^{4}-27 B \,a^{5} e^{4}+84 B \,a^{4} b d \,e^{3}-90 B \,a^{3} b^{2} d^{2} e^{2}+36 B \,a^{2} b^{3} d^{3} e -3 B a \,b^{4} d^{4}\right) \left(b x +a \right)}{6 \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b^{6}}"," ",0,"1/6*(-12*A*a*b^4*d^3*e-48*B*x^3*a*b^4*d*e^3+84*B*a^4*b*d*e^3-90*B*a^3*b^2*d^2*e^2+36*b^3*B*a^2*d^3*e-60*B*ln(b*x+a)*a^5*e^4-6*B*x*b^5*d^4+2*B*x^5*b^5*e^4+3*A*x^4*b^5*e^4-12*A*x^3*a*b^4*e^4+24*A*x^3*b^5*d*e^3+20*B*x^3*a^2*b^3*e^4-60*A*a^3*b^2*d*e^3-108*B*ln(b*x+a)*a^3*b^2*d^2*e^2+24*B*ln(b*x+a)*a^2*b^3*d^3*e-72*B*x*a^2*b^3*d^2*e^2-48*A*x*a^2*b^3*d*e^3+24*B*x*a^3*b^2*d*e^3+21*A*a^4*b*e^4-3*B*a*b^4*d^4-3*A*b^5*d^4-27*B*a^5*e^4+48*A*x^2*a*b^4*d*e^3+144*B*ln(b*x+a)*a^4*b*d*e^3+36*A*ln(b*x+a)*a^2*b^3*d^2*e^2-72*A*ln(b*x+a)*a^3*b^2*d*e^3+24*B*ln(b*x+a)*x^2*b^5*d^3*e+72*A*ln(b*x+a)*x*a^3*b^2*e^4-120*B*ln(b*x+a)*x*a^4*b*e^4+36*A*ln(b*x+a)*x^2*a^2*b^3*e^4+36*A*ln(b*x+a)*x^2*b^5*d^2*e^2-60*B*ln(b*x+a)*x^2*a^3*b^2*e^4+72*A*x*a*b^4*d^2*e^2+48*B*x*a*b^4*d^3*e+54*A*a^2*b^3*d^2*e^2-108*B*ln(b*x+a)*x^2*a*b^4*d^2*e^2-144*A*ln(b*x+a)*x*a^2*b^3*d*e^3-72*A*ln(b*x+a)*x^2*a*b^4*d*e^3+288*B*ln(b*x+a)*x*a^3*b^2*d*e^3-216*B*ln(b*x+a)*x*a^2*b^3*d^2*e^2+72*A*ln(b*x+a)*x*a*b^4*d^2*e^2+48*B*ln(b*x+a)*x*a*b^4*d^3*e+144*B*ln(b*x+a)*x^2*a^2*b^3*d*e^3+72*B*x^2*a*b^4*d^2*e^2-132*B*x^2*a^2*b^3*d*e^3-5*B*x^4*a*b^4*e^4+36*B*x^3*b^5*d^2*e^2+36*A*ln(b*x+a)*a^4*b*e^4+12*B*x^4*b^5*d*e^3+6*B*x*a^4*b*e^4-33*A*x^2*a^2*b^3*e^4+63*B*x^2*a^3*b^2*e^4+6*A*x*a^3*b^2*e^4-24*A*x*b^5*d^3*e)*(b*x+a)/b^6/((b*x+a)^2)^(3/2)","B"
1768,1,556,190,0.136000," ","int((B*x+A)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","-\frac{\left(-B \,b^{4} e^{3} x^{4}+6 A a \,b^{3} e^{3} x^{2} \ln \left(b x +a \right)-6 A \,b^{4} d \,e^{2} x^{2} \ln \left(b x +a \right)-2 A \,b^{4} e^{3} x^{3}-12 B \,a^{2} b^{2} e^{3} x^{2} \ln \left(b x +a \right)+18 B a \,b^{3} d \,e^{2} x^{2} \ln \left(b x +a \right)+4 B a \,b^{3} e^{3} x^{3}-6 B \,b^{4} d^{2} e \,x^{2} \ln \left(b x +a \right)-6 B \,b^{4} d \,e^{2} x^{3}+12 A \,a^{2} b^{2} e^{3} x \ln \left(b x +a \right)-12 A a \,b^{3} d \,e^{2} x \ln \left(b x +a \right)-4 A a \,b^{3} e^{3} x^{2}-24 B \,a^{3} b \,e^{3} x \ln \left(b x +a \right)+36 B \,a^{2} b^{2} d \,e^{2} x \ln \left(b x +a \right)+11 B \,a^{2} b^{2} e^{3} x^{2}-12 B a \,b^{3} d^{2} e x \ln \left(b x +a \right)-12 B a \,b^{3} d \,e^{2} x^{2}+6 A \,a^{3} b \,e^{3} \ln \left(b x +a \right)-6 A \,a^{2} b^{2} d \,e^{2} \ln \left(b x +a \right)+4 A \,a^{2} b^{2} e^{3} x -12 A a \,b^{3} d \,e^{2} x +6 A \,b^{4} d^{2} e x -12 B \,a^{4} e^{3} \ln \left(b x +a \right)+18 B \,a^{3} b d \,e^{2} \ln \left(b x +a \right)-2 B \,a^{3} b \,e^{3} x -6 B \,a^{2} b^{2} d^{2} e \ln \left(b x +a \right)+12 B \,a^{2} b^{2} d \,e^{2} x -12 B a \,b^{3} d^{2} e x +2 B \,b^{4} d^{3} x +5 A \,a^{3} b \,e^{3}-9 A \,a^{2} b^{2} d \,e^{2}+3 A a \,b^{3} d^{2} e +A \,b^{4} d^{3}-7 B \,a^{4} e^{3}+15 B \,a^{3} b d \,e^{2}-9 B \,a^{2} b^{2} d^{2} e +B a \,b^{3} d^{3}\right) \left(b x +a \right)}{2 \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b^{5}}"," ",0,"-1/2*(12*A*ln(b*x+a)*x*a^2*b^2*e^3-24*B*ln(b*x+a)*x*a^3*b*e^3+6*A*ln(b*x+a)*x^2*a*b^3*e^3-6*A*ln(b*x+a)*x^2*b^4*d*e^2-12*B*ln(b*x+a)*x^2*a^2*b^2*e^3-6*B*ln(b*x+a)*x^2*b^4*d^2*e+18*B*ln(b*x+a)*x^2*a*b^3*d*e^2-12*A*ln(b*x+a)*x*a*b^3*d*e^2+36*B*ln(b*x+a)*x*a^2*b^2*d*e^2-12*B*ln(b*x+a)*x*a*b^3*d^2*e-12*B*a*b^3*d^2*e*x+5*A*a^3*b*e^3+12*B*a^2*b^2*d*e^2*x+18*B*a^3*b*d*e^2*ln(b*x+a)-6*B*a^2*b^2*d^2*e*ln(b*x+a)-12*A*a*b^3*d*e^2*x-6*A*a^2*b^2*d*e^2*ln(b*x+a)-12*B*a*b^3*d*e^2*x^2+A*b^4*d^3-7*B*a^4*e^3+15*B*a^3*b*d*e^2+B*a*b^3*d^3-2*A*b^4*e^3*x^3-12*B*a^4*e^3*ln(b*x+a)+2*B*b^4*d^3*x-B*b^4*e^3*x^4+6*A*a^3*b*e^3*ln(b*x+a)+4*A*a^2*b^2*e^3*x-9*b^2*B*a^2*d^2*e+3*A*a*b^3*d^2*e-2*B*a^3*b*e^3*x+11*B*a^2*b^2*e^3*x^2+4*B*a*b^3*e^3*x^3-6*B*b^4*d*e^2*x^3-4*A*a*b^3*e^3*x^2-9*A*b^2*a^2*d*e^2+6*A*b^4*d^2*e*x)*(b*x+a)/b^5/((b*x+a)^2)^(3/2)","B"
1769,1,303,140,0.067000," ","int((B*x+A)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(2 A \,b^{3} e^{2} x^{2} \ln \left(b x +a \right)-6 B a \,b^{2} e^{2} x^{2} \ln \left(b x +a \right)+4 B \,b^{3} d e \,x^{2} \ln \left(b x +a \right)+2 B \,b^{3} e^{2} x^{3}+4 A a \,b^{2} e^{2} x \ln \left(b x +a \right)-12 B \,a^{2} b \,e^{2} x \ln \left(b x +a \right)+8 B a \,b^{2} d e x \ln \left(b x +a \right)+4 B a \,b^{2} e^{2} x^{2}+2 A \,a^{2} b \,e^{2} \ln \left(b x +a \right)+4 A a \,b^{2} e^{2} x -4 A \,b^{3} d e x -6 B \,a^{3} e^{2} \ln \left(b x +a \right)+4 B \,a^{2} b d e \ln \left(b x +a \right)-4 B \,a^{2} b \,e^{2} x +8 B a \,b^{2} d e x -2 B \,b^{3} d^{2} x +3 A \,a^{2} b \,e^{2}-2 A a \,b^{2} d e -A \,b^{3} d^{2}-5 B \,a^{3} e^{2}+6 B \,a^{2} b d e -B a \,b^{2} d^{2}\right) \left(b x +a \right)}{2 \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b^{4}}"," ",0,"1/2*(2*A*ln(b*x+a)*x^2*b^3*e^2-6*B*ln(b*x+a)*x^2*a*b^2*e^2+4*B*ln(b*x+a)*x^2*b^3*d*e+2*B*b^3*e^2*x^3+4*A*ln(b*x+a)*x*a*b^2*e^2-12*B*ln(b*x+a)*x*a^2*b*e^2+8*B*ln(b*x+a)*x*a*b^2*d*e+4*B*a*b^2*e^2*x^2+2*A*a^2*b*e^2*ln(b*x+a)+4*A*a*b^2*e^2*x-4*A*b^3*d*e*x-6*B*a^3*e^2*ln(b*x+a)+4*B*a^2*b*d*e*ln(b*x+a)-4*B*a^2*b*e^2*x+8*B*a*b^2*d*e*x-2*B*b^3*d^2*x+3*A*a^2*b*e^2-2*A*a*b^2*d*e-A*b^3*d^2-5*B*a^3*e^2+6*B*a^2*b*d*e-B*a*b^2*d^2)*(b*x+a)/b^4/((b*x+a)^2)^(3/2)","B"
1770,1,109,93,0.058000," ","int((B*x+A)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","-\frac{\left(-2 B \,b^{2} e \,x^{2} \ln \left(b x +a \right)-4 B a b e x \ln \left(b x +a \right)+2 A \,b^{2} e x -2 B \,a^{2} e \ln \left(b x +a \right)-4 B a b e x +2 B \,b^{2} d x +A a b e +A \,b^{2} d -3 B \,a^{2} e +B a b d \right) \left(b x +a \right)}{2 \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b^{3}}"," ",0,"-1/2*(-2*B*ln(b*x+a)*x^2*b^2*e-4*B*ln(b*x+a)*x*a*b*e+2*A*b^2*e*x-2*B*a^2*e*ln(b*x+a)-4*B*a*b*e*x+2*B*b^2*d*x+a*A*e*b+A*b^2*d-3*B*e*a^2+a*B*d*b)*(b*x+a)/b^3/((b*x+a)^2)^(3/2)","A"
1771,1,32,45,0.044000," ","int((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","-\frac{\left(b x +a \right) \left(2 B b x +A b +B a \right)}{2 \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b^{2}}"," ",0,"-1/2*(b*x+a)*(2*B*b*x+A*b+B*a)/b^2/((b*x+a)^2)^(3/2)","A"
1772,1,315,149,0.066000," ","int((B*x+A)/(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","-\frac{\left(2 A \,b^{3} e^{2} x^{2} \ln \left(b x +a \right)-2 A \,b^{3} e^{2} x^{2} \ln \left(e x +d \right)-2 B \,b^{3} d e \,x^{2} \ln \left(b x +a \right)+2 B \,b^{3} d e \,x^{2} \ln \left(e x +d \right)+4 A a \,b^{2} e^{2} x \ln \left(b x +a \right)-4 A a \,b^{2} e^{2} x \ln \left(e x +d \right)-4 B a \,b^{2} d e x \ln \left(b x +a \right)+4 B a \,b^{2} d e x \ln \left(e x +d \right)+2 A \,a^{2} b \,e^{2} \ln \left(b x +a \right)-2 A \,a^{2} b \,e^{2} \ln \left(e x +d \right)-2 A a \,b^{2} e^{2} x +2 A \,b^{3} d e x -2 B \,a^{2} b d e \ln \left(b x +a \right)+2 B \,a^{2} b d e \ln \left(e x +d \right)+2 B a \,b^{2} d e x -2 B \,b^{3} d^{2} x -3 A \,a^{2} b \,e^{2}+4 A a \,b^{2} d e -A \,b^{3} d^{2}+B \,a^{3} e^{2}-B a \,b^{2} d^{2}\right) \left(b x +a \right)}{2 \left(a e -b d \right)^{3} \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b}"," ",0,"-1/2*(2*A*b^3*e^2*x^2*ln(b*x+a)-2*A*ln(e*x+d)*x^2*b^3*e^2-2*B*b^3*d*e*x^2*ln(b*x+a)+2*B*ln(e*x+d)*x^2*b^3*d*e+4*A*a*b^2*e^2*x*ln(b*x+a)-4*A*ln(e*x+d)*x*a*b^2*e^2-4*B*a*b^2*d*e*x*ln(b*x+a)+4*B*ln(e*x+d)*x*a*b^2*d*e+2*A*a^2*b*e^2*ln(b*x+a)-2*A*ln(e*x+d)*a^2*b*e^2-2*A*a*b^2*e^2*x+2*A*b^3*d*e*x-2*B*a^2*b*d*e*ln(b*x+a)+2*B*ln(e*x+d)*a^2*b*d*e+2*B*a*b^2*d*e*x-2*B*b^3*d^2*x-3*A*a^2*b*e^2+4*A*a*b^2*d*e-A*b^3*d^2+B*a^3*e^2-B*a*b^2*d^2)*(b*x+a)/b/(a*e-b*d)^3/((b*x+a)^2)^(3/2)","B"
1773,1,828,210,0.073000," ","int((B*x+A)/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(6 A \,b^{3} e^{3} x^{3} \ln \left(b x +a \right)-6 A \,b^{3} e^{3} x^{3} \ln \left(e x +d \right)-2 B a \,b^{2} e^{3} x^{3} \ln \left(b x +a \right)+2 B a \,b^{2} e^{3} x^{3} \ln \left(e x +d \right)-4 B \,b^{3} d \,e^{2} x^{3} \ln \left(b x +a \right)+4 B \,b^{3} d \,e^{2} x^{3} \ln \left(e x +d \right)+12 A a \,b^{2} e^{3} x^{2} \ln \left(b x +a \right)-12 A a \,b^{2} e^{3} x^{2} \ln \left(e x +d \right)+6 A \,b^{3} d \,e^{2} x^{2} \ln \left(b x +a \right)-6 A \,b^{3} d \,e^{2} x^{2} \ln \left(e x +d \right)-4 B \,a^{2} b \,e^{3} x^{2} \ln \left(b x +a \right)+4 B \,a^{2} b \,e^{3} x^{2} \ln \left(e x +d \right)-10 B a \,b^{2} d \,e^{2} x^{2} \ln \left(b x +a \right)+10 B a \,b^{2} d \,e^{2} x^{2} \ln \left(e x +d \right)-4 B \,b^{3} d^{2} e \,x^{2} \ln \left(b x +a \right)+4 B \,b^{3} d^{2} e \,x^{2} \ln \left(e x +d \right)+6 A \,a^{2} b \,e^{3} x \ln \left(b x +a \right)-6 A \,a^{2} b \,e^{3} x \ln \left(e x +d \right)+12 A a \,b^{2} d \,e^{2} x \ln \left(b x +a \right)-12 A a \,b^{2} d \,e^{2} x \ln \left(e x +d \right)-6 A a \,b^{2} e^{3} x^{2}+6 A \,b^{3} d \,e^{2} x^{2}-2 B \,a^{3} e^{3} x \ln \left(b x +a \right)+2 B \,a^{3} e^{3} x \ln \left(e x +d \right)-8 B \,a^{2} b d \,e^{2} x \ln \left(b x +a \right)+8 B \,a^{2} b d \,e^{2} x \ln \left(e x +d \right)+2 B \,a^{2} b \,e^{3} x^{2}-8 B a \,b^{2} d^{2} e x \ln \left(b x +a \right)+8 B a \,b^{2} d^{2} e x \ln \left(e x +d \right)+2 B a \,b^{2} d \,e^{2} x^{2}-4 B \,b^{3} d^{2} e \,x^{2}+6 A \,a^{2} b d \,e^{2} \ln \left(b x +a \right)-6 A \,a^{2} b d \,e^{2} \ln \left(e x +d \right)-9 A \,a^{2} b \,e^{3} x +6 A a \,b^{2} d \,e^{2} x +3 A \,b^{3} d^{2} e x -2 B \,a^{3} d \,e^{2} \ln \left(b x +a \right)+2 B \,a^{3} d \,e^{2} \ln \left(e x +d \right)+3 B \,a^{3} e^{3} x -4 B \,a^{2} b \,d^{2} e \ln \left(b x +a \right)+4 B \,a^{2} b \,d^{2} e \ln \left(e x +d \right)+4 B \,a^{2} b d \,e^{2} x -5 B a \,b^{2} d^{2} e x -2 B \,b^{3} d^{3} x -2 A \,a^{3} e^{3}-3 A \,a^{2} b d \,e^{2}+6 A a \,b^{2} d^{2} e -A \,b^{3} d^{3}+5 B \,a^{3} d \,e^{2}-4 B \,a^{2} b \,d^{2} e -B a \,b^{2} d^{3}\right) \left(b x +a \right)}{2 \left(e x +d \right) \left(a e -b d \right)^{4} \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}"," ",0,"1/2*(-A*b^3*d^3-2*A*a^3*e^3-3*A*a^2*b*d*e^2+6*A*a*b^2*d^2*e+4*B*ln(e*x+d)*x^3*b^3*d*e^2+12*A*ln(b*x+a)*x^2*a*b^2*e^3+6*A*ln(b*x+a)*x^2*b^3*d*e^2-4*B*a^2*b*d^2*e+3*B*a^3*e^3*x-2*B*b^3*d^3*x+5*B*a^3*d*e^2-B*a*b^2*d^3-12*A*ln(e*x+d)*x^2*a*b^2*e^3-6*A*ln(e*x+d)*x^2*b^3*d*e^2-4*B*ln(b*x+a)*x^2*a^2*b*e^3-4*B*ln(b*x+a)*x^2*b^3*d^2*e+4*B*ln(e*x+d)*a^2*b*d^2*e-2*B*ln(b*x+a)*x^3*a*b^2*e^3+4*B*ln(e*x+d)*x^2*a^2*b*e^3+4*B*ln(e*x+d)*x^2*b^3*d^2*e-6*A*ln(e*x+d)*x^3*b^3*e^3-2*B*ln(b*x+a)*x*a^3*e^3+2*B*ln(e*x+d)*x*a^3*e^3-2*B*ln(b*x+a)*a^3*d*e^2+3*A*b^3*d^2*e*x+6*A*x^2*b^3*d*e^2+2*B*x^2*a^2*b*e^3-4*B*x^2*b^3*d^2*e-9*A*a^2*b*e^3*x-6*A*x^2*a*b^2*e^3+2*B*ln(e*x+d)*a^3*d*e^2+6*A*ln(b*x+a)*x^3*b^3*e^3-5*B*a*b^2*d^2*e*x+4*B*a^2*b*d*e^2*x+6*A*a*b^2*d*e^2*x+2*B*x^2*a*b^2*d*e^2-4*B*ln(b*x+a)*x^3*b^3*d*e^2+2*B*ln(e*x+d)*x^3*a*b^2*e^3-8*B*ln(b*x+a)*x*a*b^2*d^2*e+8*B*ln(e*x+d)*x*a^2*b*d*e^2+8*B*ln(e*x+d)*x*a*b^2*d^2*e+12*A*ln(b*x+a)*x*a*b^2*d*e^2-12*A*ln(e*x+d)*x*a*b^2*d*e^2-8*B*ln(b*x+a)*x*a^2*b*d*e^2-10*B*ln(b*x+a)*x^2*a*b^2*d*e^2+10*B*ln(e*x+d)*x^2*a*b^2*d*e^2+6*A*ln(b*x+a)*x*a^2*b*e^3-6*A*ln(e*x+d)*x*a^2*b*e^3+6*A*ln(b*x+a)*a^2*b*d*e^2-6*A*ln(e*x+d)*a^2*b*d*e^2-4*B*ln(b*x+a)*a^2*b*d^2*e)*(b*x+a)/(e*x+d)/(a*e-b*d)^4/((b*x+a)^2)^(3/2)","B"
1774,1,1271,262,0.069000," ","int((B*x+A)/(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","-\frac{\left(12 A \,b^{4} e^{4} x^{4} \ln \left(b x +a \right)-12 A \,b^{4} e^{4} x^{4} \ln \left(e x +d \right)-6 B a \,b^{3} e^{4} x^{4} \ln \left(b x +a \right)+6 B a \,b^{3} e^{4} x^{4} \ln \left(e x +d \right)-6 B \,b^{4} d \,e^{3} x^{4} \ln \left(b x +a \right)+6 B \,b^{4} d \,e^{3} x^{4} \ln \left(e x +d \right)+24 A a \,b^{3} e^{4} x^{3} \ln \left(b x +a \right)-24 A a \,b^{3} e^{4} x^{3} \ln \left(e x +d \right)+24 A \,b^{4} d \,e^{3} x^{3} \ln \left(b x +a \right)-24 A \,b^{4} d \,e^{3} x^{3} \ln \left(e x +d \right)-12 B \,a^{2} b^{2} e^{4} x^{3} \ln \left(b x +a \right)+12 B \,a^{2} b^{2} e^{4} x^{3} \ln \left(e x +d \right)-24 B a \,b^{3} d \,e^{3} x^{3} \ln \left(b x +a \right)+24 B a \,b^{3} d \,e^{3} x^{3} \ln \left(e x +d \right)-12 B \,b^{4} d^{2} e^{2} x^{3} \ln \left(b x +a \right)+12 B \,b^{4} d^{2} e^{2} x^{3} \ln \left(e x +d \right)+12 A \,a^{2} b^{2} e^{4} x^{2} \ln \left(b x +a \right)-12 A \,a^{2} b^{2} e^{4} x^{2} \ln \left(e x +d \right)+48 A a \,b^{3} d \,e^{3} x^{2} \ln \left(b x +a \right)-48 A a \,b^{3} d \,e^{3} x^{2} \ln \left(e x +d \right)-12 A a \,b^{3} e^{4} x^{3}+12 A \,b^{4} d^{2} e^{2} x^{2} \ln \left(b x +a \right)-12 A \,b^{4} d^{2} e^{2} x^{2} \ln \left(e x +d \right)+12 A \,b^{4} d \,e^{3} x^{3}-6 B \,a^{3} b \,e^{4} x^{2} \ln \left(b x +a \right)+6 B \,a^{3} b \,e^{4} x^{2} \ln \left(e x +d \right)-30 B \,a^{2} b^{2} d \,e^{3} x^{2} \ln \left(b x +a \right)+30 B \,a^{2} b^{2} d \,e^{3} x^{2} \ln \left(e x +d \right)+6 B \,a^{2} b^{2} e^{4} x^{3}-30 B a \,b^{3} d^{2} e^{2} x^{2} \ln \left(b x +a \right)+30 B a \,b^{3} d^{2} e^{2} x^{2} \ln \left(e x +d \right)-6 B \,b^{4} d^{3} e \,x^{2} \ln \left(b x +a \right)+6 B \,b^{4} d^{3} e \,x^{2} \ln \left(e x +d \right)-6 B \,b^{4} d^{2} e^{2} x^{3}+24 A \,a^{2} b^{2} d \,e^{3} x \ln \left(b x +a \right)-24 A \,a^{2} b^{2} d \,e^{3} x \ln \left(e x +d \right)-18 A \,a^{2} b^{2} e^{4} x^{2}+24 A a \,b^{3} d^{2} e^{2} x \ln \left(b x +a \right)-24 A a \,b^{3} d^{2} e^{2} x \ln \left(e x +d \right)+18 A \,b^{4} d^{2} e^{2} x^{2}-12 B \,a^{3} b d \,e^{3} x \ln \left(b x +a \right)+12 B \,a^{3} b d \,e^{3} x \ln \left(e x +d \right)+9 B \,a^{3} b \,e^{4} x^{2}-24 B \,a^{2} b^{2} d^{2} e^{2} x \ln \left(b x +a \right)+24 B \,a^{2} b^{2} d^{2} e^{2} x \ln \left(e x +d \right)+9 B \,a^{2} b^{2} d \,e^{3} x^{2}-12 B a \,b^{3} d^{3} e x \ln \left(b x +a \right)+12 B a \,b^{3} d^{3} e x \ln \left(e x +d \right)-9 B a \,b^{3} d^{2} e^{2} x^{2}-9 B \,b^{4} d^{3} e \,x^{2}-4 A \,a^{3} b \,e^{4} x +12 A \,a^{2} b^{2} d^{2} e^{2} \ln \left(b x +a \right)-12 A \,a^{2} b^{2} d^{2} e^{2} \ln \left(e x +d \right)-24 A \,a^{2} b^{2} d \,e^{3} x +24 A a \,b^{3} d^{2} e^{2} x +4 A \,b^{4} d^{3} e x +2 B \,a^{4} e^{4} x -6 B \,a^{3} b \,d^{2} e^{2} \ln \left(b x +a \right)+6 B \,a^{3} b \,d^{2} e^{2} \ln \left(e x +d \right)+14 B \,a^{3} b d \,e^{3} x -6 B \,a^{2} b^{2} d^{3} e \ln \left(b x +a \right)+6 B \,a^{2} b^{2} d^{3} e \ln \left(e x +d \right)-14 B a \,b^{3} d^{3} e x -2 B \,b^{4} d^{4} x +A \,a^{4} e^{4}-8 A \,a^{3} b d \,e^{3}+8 A a \,b^{3} d^{3} e -A \,b^{4} d^{4}+B \,a^{4} d \,e^{3}+9 B \,a^{3} b \,d^{2} e^{2}-9 B \,a^{2} b^{2} d^{3} e -B a \,b^{3} d^{4}\right) \left(b x +a \right)}{2 \left(e x +d \right)^{2} \left(a e -b d \right)^{5} \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}"," ",0,"-1/2*(-2*B*x*b^4*d^4+2*B*x*a^4*e^4-A*b^4*d^4+A*a^4*e^4-B*a*b^3*d^4+B*a^4*d*e^3+8*A*a*b^3*d^3*e+9*B*a^3*b*d^2*e^2-9*B*a^2*b^2*d^3*e-8*A*a^3*b*d*e^3+12*B*ln(e*x+d)*x^3*a^2*b^2*e^4+12*B*ln(e*x+d)*x^3*b^4*d^2*e^2+12*A*ln(b*x+a)*x^2*a^2*b^2*e^4+12*A*ln(b*x+a)*x^2*b^4*d^2*e^2-12*A*ln(e*x+d)*x^2*a^2*b^2*e^4-12*A*ln(e*x+d)*x^2*b^4*d^2*e^2-6*B*ln(b*x+a)*x^2*a^3*b*e^4-6*B*ln(b*x+a)*x^2*b^4*d^3*e+6*B*ln(e*x+d)*x^2*a^3*b*e^4+6*B*ln(e*x+d)*x^2*b^4*d^3*e-12*B*ln(b*x+a)*x^3*b^4*d^2*e^2+12*A*ln(b*x+a)*a^2*b^2*d^2*e^2-12*A*ln(e*x+d)*a^2*b^2*d^2*e^2-6*B*ln(b*x+a)*a^3*b*d^2*e^2-6*B*ln(b*x+a)*a^2*b^2*d^3*e+6*B*ln(e*x+d)*a^3*b*d^2*e^2+6*B*ln(e*x+d)*a^2*b^2*d^3*e+9*B*x^2*a^2*b^2*d*e^3-9*B*x^2*a*b^3*d^2*e^2-24*A*x*a^2*b^2*d*e^3+24*A*x*a*b^3*d^2*e^2+14*B*x*a^3*b*d*e^3-14*B*x*a*b^3*d^3*e-6*B*ln(b*x+a)*x^4*a*b^3*e^4-6*B*ln(b*x+a)*x^4*b^4*d*e^3+6*B*ln(e*x+d)*x^4*a*b^3*e^4+6*B*ln(e*x+d)*x^4*b^4*d*e^3+24*A*ln(b*x+a)*x^3*a*b^3*e^4+24*A*ln(b*x+a)*x^3*b^4*d*e^3-24*A*ln(e*x+d)*x^3*a*b^3*e^4-24*A*ln(e*x+d)*x^3*b^4*d*e^3-12*B*ln(b*x+a)*x^3*a^2*b^2*e^4-12*A*x^3*a*b^3*e^4+12*A*x^3*b^4*d*e^3+6*B*x^3*a^2*b^2*e^4-6*B*x^3*b^4*d^2*e^2-18*A*x^2*a^2*b^2*e^4+18*A*x^2*b^4*d^2*e^2+9*B*x^2*a^3*b*e^4-9*B*x^2*b^4*d^3*e+4*A*x*b^4*d^3*e-4*A*x*a^3*b*e^4+12*A*ln(b*x+a)*x^4*b^4*e^4-12*A*ln(e*x+d)*x^4*b^4*e^4-12*B*ln(b*x+a)*x*a*b^3*d^3*e+12*B*ln(e*x+d)*x*a^3*b*d*e^3+24*B*ln(e*x+d)*x*a^2*b^2*d^2*e^2+12*B*ln(e*x+d)*x*a*b^3*d^3*e+30*B*ln(e*x+d)*x^2*a^2*b^2*d*e^3+30*B*ln(e*x+d)*x^2*a*b^3*d^2*e^2+24*A*ln(b*x+a)*x*a^2*b^2*d*e^3+24*A*ln(b*x+a)*x*a*b^3*d^2*e^2-24*A*ln(e*x+d)*x*a^2*b^2*d*e^3-24*A*ln(e*x+d)*x*a*b^3*d^2*e^2-12*B*ln(b*x+a)*x*a^3*b*d*e^3-24*B*ln(b*x+a)*x^3*a*b^3*d*e^3+24*B*ln(e*x+d)*x^3*a*b^3*d*e^3-24*B*ln(b*x+a)*x*a^2*b^2*d^2*e^2-48*A*ln(e*x+d)*x^2*a*b^3*d*e^3-30*B*ln(b*x+a)*x^2*a^2*b^2*d*e^3-30*B*ln(b*x+a)*x^2*a*b^3*d^2*e^2+48*A*ln(b*x+a)*x^2*a*b^3*d*e^3)*(b*x+a)/(e*x+d)^2/(a*e-b*d)^5/((b*x+a)^2)^(3/2)","B"
1775,1,1153,288,0.072000," ","int((B*x+A)*(e*x+d)^5/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(-6 B \,b^{6} e^{5} x^{6}+60 A a \,b^{5} e^{5} x^{4} \ln \left(b x +a \right)-60 A \,b^{6} d \,e^{4} x^{4} \ln \left(b x +a \right)-12 A \,b^{6} e^{5} x^{5}-180 B \,a^{2} b^{4} e^{5} x^{4} \ln \left(b x +a \right)+300 B a \,b^{5} d \,e^{4} x^{4} \ln \left(b x +a \right)+36 B a \,b^{5} e^{5} x^{5}-120 B \,b^{6} d^{2} e^{3} x^{4} \ln \left(b x +a \right)-60 B \,b^{6} d \,e^{4} x^{5}+240 A \,a^{2} b^{4} e^{5} x^{3} \ln \left(b x +a \right)-240 A a \,b^{5} d \,e^{4} x^{3} \ln \left(b x +a \right)-48 A a \,b^{5} e^{5} x^{4}-720 B \,a^{3} b^{3} e^{5} x^{3} \ln \left(b x +a \right)+1200 B \,a^{2} b^{4} d \,e^{4} x^{3} \ln \left(b x +a \right)+204 B \,a^{2} b^{4} e^{5} x^{4}-480 B a \,b^{5} d^{2} e^{3} x^{3} \ln \left(b x +a \right)-240 B a \,b^{5} d \,e^{4} x^{4}+360 A \,a^{3} b^{3} e^{5} x^{2} \ln \left(b x +a \right)-360 A \,a^{2} b^{4} d \,e^{4} x^{2} \ln \left(b x +a \right)+48 A \,a^{2} b^{4} e^{5} x^{3}-240 A a \,b^{5} d \,e^{4} x^{3}+120 A \,b^{6} d^{2} e^{3} x^{3}-1080 B \,a^{4} b^{2} e^{5} x^{2} \ln \left(b x +a \right)+1800 B \,a^{3} b^{3} d \,e^{4} x^{2} \ln \left(b x +a \right)+96 B \,a^{3} b^{3} e^{5} x^{3}-720 B \,a^{2} b^{4} d^{2} e^{3} x^{2} \ln \left(b x +a \right)+240 B \,a^{2} b^{4} d \,e^{4} x^{3}-480 B a \,b^{5} d^{2} e^{3} x^{3}+120 B \,b^{6} d^{3} e^{2} x^{3}+240 A \,a^{4} b^{2} e^{5} x \ln \left(b x +a \right)-240 A \,a^{3} b^{3} d \,e^{4} x \ln \left(b x +a \right)+252 A \,a^{3} b^{3} e^{5} x^{2}-540 A \,a^{2} b^{4} d \,e^{4} x^{2}+180 A a \,b^{5} d^{2} e^{3} x^{2}+60 A \,b^{6} d^{3} e^{2} x^{2}-720 B \,a^{5} b \,e^{5} x \ln \left(b x +a \right)+1200 B \,a^{4} b^{2} d \,e^{4} x \ln \left(b x +a \right)-396 B \,a^{4} b^{2} e^{5} x^{2}-480 B \,a^{3} b^{3} d^{2} e^{3} x \ln \left(b x +a \right)+1260 B \,a^{3} b^{3} d \,e^{4} x^{2}-1080 B \,a^{2} b^{4} d^{2} e^{3} x^{2}+180 B a \,b^{5} d^{3} e^{2} x^{2}+30 B \,b^{6} d^{4} e \,x^{2}+60 A \,a^{5} b \,e^{5} \ln \left(b x +a \right)-60 A \,a^{4} b^{2} d \,e^{4} \ln \left(b x +a \right)+248 A \,a^{4} b^{2} e^{5} x -440 A \,a^{3} b^{3} d \,e^{4} x +120 A \,a^{2} b^{4} d^{2} e^{3} x +40 A a \,b^{5} d^{3} e^{2} x +20 A \,b^{6} d^{4} e x -180 B \,a^{6} e^{5} \ln \left(b x +a \right)+300 B \,a^{5} b d \,e^{4} \ln \left(b x +a \right)-504 B \,a^{5} b \,e^{5} x -120 B \,a^{4} b^{2} d^{2} e^{3} \ln \left(b x +a \right)+1240 B \,a^{4} b^{2} d \,e^{4} x -880 B \,a^{3} b^{3} d^{2} e^{3} x +120 B \,a^{2} b^{4} d^{3} e^{2} x +20 B a \,b^{5} d^{4} e x +4 B \,b^{6} d^{5} x +77 A \,a^{5} b \,e^{5}-125 A \,a^{4} b^{2} d \,e^{4}+30 A \,a^{3} b^{3} d^{2} e^{3}+10 A \,a^{2} b^{4} d^{3} e^{2}+5 A a \,b^{5} d^{4} e +3 A \,b^{6} d^{5}-171 B \,a^{6} e^{5}+385 B \,a^{5} b d \,e^{4}-250 B \,a^{4} b^{2} d^{2} e^{3}+30 B \,a^{3} b^{3} d^{3} e^{2}+5 B \,a^{2} b^{4} d^{4} e +B a \,b^{5} d^{5}\right) \left(b x +a \right)}{12 \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{7}}"," ",0,"-1/12*(77*A*a^5*b*e^5-250*B*a^4*b^2*d^2*e^3+120*B*x*a^2*b^4*d^3*e^2+385*B*a^5*b*d*e^4+3*A*b^6*d^5-171*B*a^6*e^5-12*A*x^5*b^6*e^5-180*B*ln(b*x+a)*a^6*e^5-125*A*a^4*b^2*d*e^4+30*B*a^3*b^3*d^3*e^2+5*a^2*B*b^4*d^4*e+B*a*b^5*d^5+30*A*a^3*b^3*d^2*e^3-480*B*ln(b*x+a)*x^3*a*b^5*d^2*e^3-240*A*ln(b*x+a)*x^3*a*b^5*d*e^4-240*A*ln(b*x+a)*x*a^3*b^3*d*e^4+300*B*ln(b*x+a)*x^4*a*b^5*d*e^4+1200*B*ln(b*x+a)*x*a^4*b^2*d*e^4-480*B*ln(b*x+a)*x*a^3*b^3*d^2*e^3+4*B*x*b^6*d^5-6*B*x^6*b^6*e^5+10*A*a^2*b^4*d^3*e^2-360*A*ln(b*x+a)*x^2*a^2*b^4*d*e^4+1800*B*ln(b*x+a)*x^2*a^3*b^3*d*e^4-720*B*ln(b*x+a)*x^2*a^2*b^4*d^2*e^3+1200*B*ln(b*x+a)*x^3*a^2*b^4*d*e^4+5*A*a*b^5*d^4*e-120*B*ln(b*x+a)*x^4*b^6*d^2*e^3+240*A*ln(b*x+a)*x^3*a^2*b^4*e^5-60*A*ln(b*x+a)*a^4*b^2*d*e^4+300*B*ln(b*x+a)*a^5*b*d*e^4-120*B*ln(b*x+a)*a^4*b^2*d^2*e^3+60*A*ln(b*x+a)*x^4*a*b^5*e^5-60*A*ln(b*x+a)*x^4*b^6*d*e^4-180*B*ln(b*x+a)*x^4*a^2*b^4*e^5+1240*B*x*a^4*b^2*d*e^4-240*B*x^4*a*b^5*d*e^4+240*B*x^3*a^2*b^4*d*e^4+1260*B*x^2*a^3*b^3*d*e^4+120*A*x*a^2*b^4*d^2*e^3+40*A*x*a*b^5*d^3*e^2-880*B*x*a^3*b^3*d^2*e^3-48*A*x^4*a*b^5*e^5+60*A*ln(b*x+a)*a^5*b*e^5+36*B*x^5*a*b^5*e^5-60*B*x^5*b^6*d*e^4-504*B*x*a^5*b*e^5+20*A*x*b^6*d^4*e+60*A*x^2*b^6*d^3*e^2-396*B*x^2*a^4*b^2*e^5+30*B*x^2*b^6*d^4*e+248*A*x*a^4*b^2*e^5+96*B*x^3*a^3*b^3*e^5+120*B*x^3*b^6*d^3*e^2+252*A*x^2*a^3*b^3*e^5+120*A*x^3*b^6*d^2*e^3+204*B*x^4*a^2*b^4*e^5+48*A*x^3*a^2*b^4*e^5-540*A*x^2*a^2*b^4*d*e^4+180*A*x^2*a*b^5*d^2*e^3-240*A*x^3*a*b^5*d*e^4-1080*B*x^2*a^2*b^4*d^2*e^3+180*B*x^2*a*b^5*d^3*e^2-480*B*x^3*a*b^5*d^2*e^3-440*A*x*a^3*b^3*d*e^4-720*B*ln(b*x+a)*x^3*a^3*b^3*e^5+360*A*ln(b*x+a)*x^2*a^3*b^3*e^5-1080*B*ln(b*x+a)*x^2*a^4*b^2*e^5+240*A*ln(b*x+a)*x*a^4*b^2*e^5-720*B*ln(b*x+a)*x*a^5*b*e^5+20*B*x*a*b^5*d^4*e)*(b*x+a)/b^7/((b*x+a)^2)^(5/2)","B"
1776,1,735,240,0.082000," ","int((B*x+A)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(12 A \,b^{5} e^{4} x^{4} \ln \left(b x +a \right)-60 B a \,b^{4} e^{4} x^{4} \ln \left(b x +a \right)+48 B \,b^{5} d \,e^{3} x^{4} \ln \left(b x +a \right)+12 B \,b^{5} e^{4} x^{5}+48 A a \,b^{4} e^{4} x^{3} \ln \left(b x +a \right)-240 B \,a^{2} b^{3} e^{4} x^{3} \ln \left(b x +a \right)+192 B a \,b^{4} d \,e^{3} x^{3} \ln \left(b x +a \right)+48 B a \,b^{4} e^{4} x^{4}+72 A \,a^{2} b^{3} e^{4} x^{2} \ln \left(b x +a \right)+48 A a \,b^{4} e^{4} x^{3}-48 A \,b^{5} d \,e^{3} x^{3}-360 B \,a^{3} b^{2} e^{4} x^{2} \ln \left(b x +a \right)+288 B \,a^{2} b^{3} d \,e^{3} x^{2} \ln \left(b x +a \right)-48 B \,a^{2} b^{3} e^{4} x^{3}+192 B a \,b^{4} d \,e^{3} x^{3}-72 B \,b^{5} d^{2} e^{2} x^{3}+48 A \,a^{3} b^{2} e^{4} x \ln \left(b x +a \right)+108 A \,a^{2} b^{3} e^{4} x^{2}-72 A a \,b^{4} d \,e^{3} x^{2}-36 A \,b^{5} d^{2} e^{2} x^{2}-240 B \,a^{4} b \,e^{4} x \ln \left(b x +a \right)+192 B \,a^{3} b^{2} d \,e^{3} x \ln \left(b x +a \right)-252 B \,a^{3} b^{2} e^{4} x^{2}+432 B \,a^{2} b^{3} d \,e^{3} x^{2}-108 B a \,b^{4} d^{2} e^{2} x^{2}-24 B \,b^{5} d^{3} e \,x^{2}+12 A \,a^{4} b \,e^{4} \ln \left(b x +a \right)+88 A \,a^{3} b^{2} e^{4} x -48 A \,a^{2} b^{3} d \,e^{3} x -24 A a \,b^{4} d^{2} e^{2} x -16 A \,b^{5} d^{3} e x -60 B \,a^{5} e^{4} \ln \left(b x +a \right)+48 B \,a^{4} b d \,e^{3} \ln \left(b x +a \right)-248 B \,a^{4} b \,e^{4} x +352 B \,a^{3} b^{2} d \,e^{3} x -72 B \,a^{2} b^{3} d^{2} e^{2} x -16 B a \,b^{4} d^{3} e x -4 B \,b^{5} d^{4} x +25 A \,a^{4} b \,e^{4}-12 A \,a^{3} b^{2} d \,e^{3}-6 A \,a^{2} b^{3} d^{2} e^{2}-4 A a \,b^{4} d^{3} e -3 A \,b^{5} d^{4}-77 B \,a^{5} e^{4}+100 B \,a^{4} b d \,e^{3}-18 B \,a^{3} b^{2} d^{2} e^{2}-4 B \,a^{2} b^{3} d^{3} e -B a \,b^{4} d^{4}\right) \left(b x +a \right)}{12 \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{6}}"," ",0,"1/12*(-4*A*a*b^4*d^3*e+192*B*a*b^4*d*e^3*x^3+100*B*a^4*b*d*e^3-18*B*a^3*b^2*d^2*e^2+192*B*ln(b*x+a)*x^3*a*b^4*d*e^3-4*B*a^2*b^3*d^3*e-60*B*a^5*e^4*ln(b*x+a)-4*B*b^5*d^4*x+12*B*b^5*e^4*x^5+48*A*a*b^4*e^4*x^3-48*A*b^5*d*e^3*x^3-48*B*a^2*b^3*e^4*x^3-12*A*a^3*b^2*d*e^3-72*B*a^2*b^3*d^2*e^2*x-48*A*a^2*b^3*d*e^3*x+352*B*a^3*b^2*d*e^3*x+25*A*a^4*b*e^4-B*a*b^4*d^4-3*A*b^5*d^4-77*B*a^5*e^4-72*A*a*b^4*d*e^3*x^2+48*B*a^4*b*d*e^3*ln(b*x+a)+48*A*a^3*b^2*e^4*x*ln(b*x+a)-240*B*a^4*b*e^4*x*ln(b*x+a)+72*A*a^2*b^3*e^4*x^2*ln(b*x+a)-360*B*a^3*b^2*e^4*x^2*ln(b*x+a)-24*A*a*b^4*d^2*e^2*x-16*B*a*b^4*d^3*e*x-6*A*a^2*b^3*d^2*e^2-24*B*x^2*b^5*d^3*e+12*A*ln(b*x+a)*x^4*b^5*e^4+192*B*a^3*b^2*d*e^3*x*ln(b*x+a)+288*B*a^2*b^3*d*e^3*x^2*ln(b*x+a)-36*A*x^2*b^5*d^2*e^2-108*B*a*b^4*d^2*e^2*x^2+432*B*a^2*b^3*d*e^3*x^2-240*B*ln(b*x+a)*x^3*a^2*b^3*e^4-60*B*ln(b*x+a)*x^4*a*b^4*e^4+48*B*ln(b*x+a)*x^4*b^5*d*e^3+48*A*ln(b*x+a)*x^3*a*b^4*e^4+48*B*a*b^4*e^4*x^4-72*B*b^5*d^2*e^2*x^3+12*A*a^4*b*e^4*ln(b*x+a)-248*B*a^4*b*e^4*x+108*A*a^2*b^3*e^4*x^2-252*B*a^3*b^2*e^4*x^2+88*A*a^3*b^2*e^4*x-16*A*b^5*d^3*e*x)*(b*x+a)/b^6/((b*x+a)^2)^(5/2)","B"
1777,1,385,166,0.060000," ","int((B*x+A)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(-12 B \,b^{4} e^{3} x^{4} \ln \left(b x +a \right)-48 B a \,b^{3} e^{3} x^{3} \ln \left(b x +a \right)+12 A \,b^{4} e^{3} x^{3}-72 B \,a^{2} b^{2} e^{3} x^{2} \ln \left(b x +a \right)-48 B a \,b^{3} e^{3} x^{3}+36 B \,b^{4} d \,e^{2} x^{3}+18 A a \,b^{3} e^{3} x^{2}+18 A \,b^{4} d \,e^{2} x^{2}-48 B \,a^{3} b \,e^{3} x \ln \left(b x +a \right)-108 B \,a^{2} b^{2} e^{3} x^{2}+54 B a \,b^{3} d \,e^{2} x^{2}+18 B \,b^{4} d^{2} e \,x^{2}+12 A \,a^{2} b^{2} e^{3} x +12 A a \,b^{3} d \,e^{2} x +12 A \,b^{4} d^{2} e x -12 B \,a^{4} e^{3} \ln \left(b x +a \right)-88 B \,a^{3} b \,e^{3} x +36 B \,a^{2} b^{2} d \,e^{2} x +12 B a \,b^{3} d^{2} e x +4 B \,b^{4} d^{3} x +3 A \,a^{3} b \,e^{3}+3 A \,a^{2} b^{2} d \,e^{2}+3 A a \,b^{3} d^{2} e +3 A \,b^{4} d^{3}-25 B \,a^{4} e^{3}+9 B \,a^{3} b d \,e^{2}+3 B \,a^{2} b^{2} d^{2} e +B a \,b^{3} d^{3}\right) \left(b x +a \right)}{12 \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{5}}"," ",0,"-1/12*(-48*B*a^3*b*e^3*x*ln(b*x+a)-72*B*a^2*b^2*e^3*x^2*ln(b*x+a)-48*B*ln(b*x+a)*x^3*a*b^3*e^3+12*B*a*b^3*d^2*e*x+3*A*a^3*b*e^3+36*B*a^2*b^2*d*e^2*x+12*A*a*b^3*d*e^2*x+54*B*a*b^3*d*e^2*x^2+3*A*b^4*d^3-25*B*a^4*e^3+9*B*a^3*b*d*e^2+B*a*b^3*d^3+12*A*b^4*e^3*x^3-12*B*a^4*e^3*ln(b*x+a)+4*B*b^4*d^3*x+18*A*b^4*d*e^2*x^2+12*A*a^2*b^2*e^3*x+3*B*a^2*b^2*d^2*e+3*A*a*b^3*d^2*e-88*B*a^3*b*e^3*x-108*B*a^2*b^2*e^3*x^2+18*B*b^4*d^2*e*x^2-48*B*a*b^3*e^3*x^3+36*B*b^4*d*e^2*x^3+18*A*a*b^3*e^3*x^2+3*A*a^2*b^2*d*e^2+12*A*b^4*d^2*e*x-12*B*ln(b*x+a)*x^4*b^4*e^3)*(b*x+a)/b^5/((b*x+a)^2)^(5/2)","B"
1778,1,174,89,0.049000," ","int((B*x+A)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(b x +a \right) \left(12 B \,b^{3} e^{2} x^{3}+6 A \,b^{3} e^{2} x^{2}+18 B a \,b^{2} e^{2} x^{2}+12 B \,b^{3} d e \,x^{2}+4 A a \,b^{2} e^{2} x +8 A \,b^{3} d e x +12 B \,a^{2} b \,e^{2} x +8 B a \,b^{2} d e x +4 B \,b^{3} d^{2} x +A \,a^{2} b \,e^{2}+2 A a \,b^{2} d e +3 A \,b^{3} d^{2}+3 B \,a^{3} e^{2}+2 B \,a^{2} b d e +B a \,b^{2} d^{2}\right)}{12 \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{4}}"," ",0,"-1/12*(b*x+a)*(12*B*b^3*e^2*x^3+6*A*b^3*e^2*x^2+18*B*a*b^2*e^2*x^2+12*B*b^3*d*e*x^2+4*A*a*b^2*e^2*x+8*A*b^3*d*e*x+12*B*a^2*b*e^2*x+8*B*a*b^2*d*e*x+4*B*b^3*d^2*x+A*a^2*b*e^2+2*A*a*b^2*d*e+3*A*b^3*d^2+3*B*a^3*e^2+2*B*a^2*b*d*e+B*a*b^2*d^2)/b^4/((b*x+a)^2)^(5/2)","A"
1779,1,77,98,0.048000," ","int((B*x+A)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(b x +a \right) \left(6 B \,b^{2} e \,x^{2}+4 A \,b^{2} e x +4 B a b e x +4 B \,b^{2} d x +A a b e +3 A \,b^{2} d +B \,a^{2} e +B a b d \right)}{12 \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{3}}"," ",0,"-1/12*(b*x+a)/b^3*(6*B*b^2*e*x^2+4*A*b^2*e*x+4*B*a*b*e*x+4*B*b^2*d*x+A*a*b*e+3*A*b^2*d+B*a^2*e+B*a*b*d)/((b*x+a)^2)^(5/2)","A"
1780,1,33,63,0.046000," ","int((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(b x +a \right) \left(4 B b x +3 A b +B a \right)}{12 \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{2}}"," ",0,"-1/12*(b*x+a)/b^2*(4*B*b*x+3*A*b+B*a)/((b*x+a)^2)^(5/2)","A"
1781,1,777,230,0.077000," ","int((B*x+A)/(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(12 A \,b^{5} e^{4} x^{4} \ln \left(b x +a \right)-12 A \,b^{5} e^{4} x^{4} \ln \left(e x +d \right)-12 B \,b^{5} d \,e^{3} x^{4} \ln \left(b x +a \right)+12 B \,b^{5} d \,e^{3} x^{4} \ln \left(e x +d \right)+48 A a \,b^{4} e^{4} x^{3} \ln \left(b x +a \right)-48 A a \,b^{4} e^{4} x^{3} \ln \left(e x +d \right)-48 B a \,b^{4} d \,e^{3} x^{3} \ln \left(b x +a \right)+48 B a \,b^{4} d \,e^{3} x^{3} \ln \left(e x +d \right)+72 A \,a^{2} b^{3} e^{4} x^{2} \ln \left(b x +a \right)-72 A \,a^{2} b^{3} e^{4} x^{2} \ln \left(e x +d \right)-12 A a \,b^{4} e^{4} x^{3}+12 A \,b^{5} d \,e^{3} x^{3}-72 B \,a^{2} b^{3} d \,e^{3} x^{2} \ln \left(b x +a \right)+72 B \,a^{2} b^{3} d \,e^{3} x^{2} \ln \left(e x +d \right)+12 B a \,b^{4} d \,e^{3} x^{3}-12 B \,b^{5} d^{2} e^{2} x^{3}+48 A \,a^{3} b^{2} e^{4} x \ln \left(b x +a \right)-48 A \,a^{3} b^{2} e^{4} x \ln \left(e x +d \right)-42 A \,a^{2} b^{3} e^{4} x^{2}+48 A a \,b^{4} d \,e^{3} x^{2}-6 A \,b^{5} d^{2} e^{2} x^{2}-48 B \,a^{3} b^{2} d \,e^{3} x \ln \left(b x +a \right)+48 B \,a^{3} b^{2} d \,e^{3} x \ln \left(e x +d \right)+42 B \,a^{2} b^{3} d \,e^{3} x^{2}-48 B a \,b^{4} d^{2} e^{2} x^{2}+6 B \,b^{5} d^{3} e \,x^{2}+12 A \,a^{4} b \,e^{4} \ln \left(b x +a \right)-12 A \,a^{4} b \,e^{4} \ln \left(e x +d \right)-52 A \,a^{3} b^{2} e^{4} x +72 A \,a^{2} b^{3} d \,e^{3} x -24 A a \,b^{4} d^{2} e^{2} x +4 A \,b^{5} d^{3} e x -12 B \,a^{4} b d \,e^{3} \ln \left(b x +a \right)+12 B \,a^{4} b d \,e^{3} \ln \left(e x +d \right)+52 B \,a^{3} b^{2} d \,e^{3} x -72 B \,a^{2} b^{3} d^{2} e^{2} x +24 B a \,b^{4} d^{3} e x -4 B \,b^{5} d^{4} x -25 A \,a^{4} b \,e^{4}+48 A \,a^{3} b^{2} d \,e^{3}-36 A \,a^{2} b^{3} d^{2} e^{2}+16 A a \,b^{4} d^{3} e -3 A \,b^{5} d^{4}+3 B \,a^{5} e^{4}+10 B \,a^{4} b d \,e^{3}-18 B \,a^{3} b^{2} d^{2} e^{2}+6 B \,a^{2} b^{3} d^{3} e -B a \,b^{4} d^{4}\right) \left(b x +a \right)}{12 \left(a e -b d \right)^{5} \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b}"," ",0,"-1/12*(16*A*a*b^4*d^3*e+12*B*a*b^4*d*e^3*x^3+10*B*a^4*b*d*e^3-18*B*a^3*b^2*d^2*e^2-48*B*a*b^4*d*e^3*x^3*ln(b*x+a)+6*B*a^2*b^3*d^3*e-4*B*b^5*d^4*x-12*A*a*b^4*e^4*x^3+12*A*b^5*d*e^3*x^3+48*A*a^3*b^2*d*e^3-72*B*a^2*b^3*d^2*e^2*x+72*A*a^2*b^3*d*e^3*x+52*B*a^3*b^2*d*e^3*x-25*A*a^4*b*e^4-B*a*b^4*d^4-3*A*b^5*d^4+3*B*a^5*e^4+48*A*a*b^4*d*e^3*x^2-12*B*a^4*b*d*e^3*ln(b*x+a)+48*A*a^3*b^2*e^4*x*ln(b*x+a)+72*A*a^2*b^3*e^4*x^2*ln(b*x+a)-24*A*a*b^4*d^2*e^2*x+24*B*a*b^4*d^3*e*x-36*A*a^2*b^3*d^2*e^2+6*B*b^5*d^3*e*x^2+12*A*b^5*e^4*x^4*ln(b*x+a)-48*B*a^3*b^2*d*e^3*x*ln(b*x+a)-72*B*a^2*b^3*d*e^3*x^2*ln(b*x+a)-12*A*ln(e*x+d)*x^4*b^5*e^4-12*A*ln(e*x+d)*a^4*b*e^4-6*A*b^5*d^2*e^2*x^2-48*B*a*b^4*d^2*e^2*x^2+42*B*a^2*b^3*d*e^3*x^2-12*B*b^5*d*e^3*x^4*ln(b*x+a)+48*A*a*b^4*e^4*x^3*ln(b*x+a)-12*B*b^5*d^2*e^2*x^3+12*A*a^4*b*e^4*ln(b*x+a)-42*A*a^2*b^3*e^4*x^2-52*A*a^3*b^2*e^4*x+4*A*b^5*d^3*e*x+72*B*ln(e*x+d)*x^2*a^2*b^3*d*e^3+48*B*ln(e*x+d)*x*a^3*b^2*d*e^3+48*B*ln(e*x+d)*x^3*a*b^4*d*e^3+12*B*ln(e*x+d)*x^4*b^5*d*e^3-48*A*ln(e*x+d)*x^3*a*b^4*e^4-72*A*ln(e*x+d)*x^2*a^2*b^3*e^4-48*A*ln(e*x+d)*x*a^3*b^2*e^4+12*B*ln(e*x+d)*a^4*b*d*e^3)*(b*x+a)/b/(a*e-b*d)^5/((b*x+a)^2)^(5/2)","B"
1782,1,1652,307,0.076000," ","int((B*x+A)/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(60 A \,b^{5} e^{5} x^{5} \ln \left(b x +a \right)-60 A \,b^{5} e^{5} x^{5} \ln \left(e x +d \right)-12 B a \,b^{4} e^{5} x^{5} \ln \left(b x +a \right)+12 B a \,b^{4} e^{5} x^{5} \ln \left(e x +d \right)-48 B \,b^{5} d \,e^{4} x^{5} \ln \left(b x +a \right)+48 B \,b^{5} d \,e^{4} x^{5} \ln \left(e x +d \right)+240 A a \,b^{4} e^{5} x^{4} \ln \left(b x +a \right)-240 A a \,b^{4} e^{5} x^{4} \ln \left(e x +d \right)+60 A \,b^{5} d \,e^{4} x^{4} \ln \left(b x +a \right)-60 A \,b^{5} d \,e^{4} x^{4} \ln \left(e x +d \right)-48 B \,a^{2} b^{3} e^{5} x^{4} \ln \left(b x +a \right)+48 B \,a^{2} b^{3} e^{5} x^{4} \ln \left(e x +d \right)-204 B a \,b^{4} d \,e^{4} x^{4} \ln \left(b x +a \right)+204 B a \,b^{4} d \,e^{4} x^{4} \ln \left(e x +d \right)-48 B \,b^{5} d^{2} e^{3} x^{4} \ln \left(b x +a \right)+48 B \,b^{5} d^{2} e^{3} x^{4} \ln \left(e x +d \right)+360 A \,a^{2} b^{3} e^{5} x^{3} \ln \left(b x +a \right)-360 A \,a^{2} b^{3} e^{5} x^{3} \ln \left(e x +d \right)+240 A a \,b^{4} d \,e^{4} x^{3} \ln \left(b x +a \right)-240 A a \,b^{4} d \,e^{4} x^{3} \ln \left(e x +d \right)-60 A a \,b^{4} e^{5} x^{4}+60 A \,b^{5} d \,e^{4} x^{4}-72 B \,a^{3} b^{2} e^{5} x^{3} \ln \left(b x +a \right)+72 B \,a^{3} b^{2} e^{5} x^{3} \ln \left(e x +d \right)-336 B \,a^{2} b^{3} d \,e^{4} x^{3} \ln \left(b x +a \right)+336 B \,a^{2} b^{3} d \,e^{4} x^{3} \ln \left(e x +d \right)+12 B \,a^{2} b^{3} e^{5} x^{4}-192 B a \,b^{4} d^{2} e^{3} x^{3} \ln \left(b x +a \right)+192 B a \,b^{4} d^{2} e^{3} x^{3} \ln \left(e x +d \right)+36 B a \,b^{4} d \,e^{4} x^{4}-48 B \,b^{5} d^{2} e^{3} x^{4}+240 A \,a^{3} b^{2} e^{5} x^{2} \ln \left(b x +a \right)-240 A \,a^{3} b^{2} e^{5} x^{2} \ln \left(e x +d \right)+360 A \,a^{2} b^{3} d \,e^{4} x^{2} \ln \left(b x +a \right)-360 A \,a^{2} b^{3} d \,e^{4} x^{2} \ln \left(e x +d \right)-210 A \,a^{2} b^{3} e^{5} x^{3}+180 A a \,b^{4} d \,e^{4} x^{3}+30 A \,b^{5} d^{2} e^{3} x^{3}-48 B \,a^{4} b \,e^{5} x^{2} \ln \left(b x +a \right)+48 B \,a^{4} b \,e^{5} x^{2} \ln \left(e x +d \right)-264 B \,a^{3} b^{2} d \,e^{4} x^{2} \ln \left(b x +a \right)+264 B \,a^{3} b^{2} d \,e^{4} x^{2} \ln \left(e x +d \right)+42 B \,a^{3} b^{2} e^{5} x^{3}-288 B \,a^{2} b^{3} d^{2} e^{3} x^{2} \ln \left(b x +a \right)+288 B \,a^{2} b^{3} d^{2} e^{3} x^{2} \ln \left(e x +d \right)+132 B \,a^{2} b^{3} d \,e^{4} x^{3}-150 B a \,b^{4} d^{2} e^{3} x^{3}-24 B \,b^{5} d^{3} e^{2} x^{3}+60 A \,a^{4} b \,e^{5} x \ln \left(b x +a \right)-60 A \,a^{4} b \,e^{5} x \ln \left(e x +d \right)+240 A \,a^{3} b^{2} d \,e^{4} x \ln \left(b x +a \right)-240 A \,a^{3} b^{2} d \,e^{4} x \ln \left(e x +d \right)-260 A \,a^{3} b^{2} e^{5} x^{2}+150 A \,a^{2} b^{3} d \,e^{4} x^{2}+120 A a \,b^{4} d^{2} e^{3} x^{2}-10 A \,b^{5} d^{3} e^{2} x^{2}-12 B \,a^{5} e^{5} x \ln \left(b x +a \right)+12 B \,a^{5} e^{5} x \ln \left(e x +d \right)-96 B \,a^{4} b d \,e^{4} x \ln \left(b x +a \right)+96 B \,a^{4} b d \,e^{4} x \ln \left(e x +d \right)+52 B \,a^{4} b \,e^{5} x^{2}-192 B \,a^{3} b^{2} d^{2} e^{3} x \ln \left(b x +a \right)+192 B \,a^{3} b^{2} d^{2} e^{3} x \ln \left(e x +d \right)+178 B \,a^{3} b^{2} d \,e^{4} x^{2}-144 B \,a^{2} b^{3} d^{2} e^{3} x^{2}-94 B a \,b^{4} d^{3} e^{2} x^{2}+8 B \,b^{5} d^{4} e \,x^{2}+60 A \,a^{4} b d \,e^{4} \ln \left(b x +a \right)-60 A \,a^{4} b d \,e^{4} \ln \left(e x +d \right)-125 A \,a^{4} b \,e^{5} x -20 A \,a^{3} b^{2} d \,e^{4} x +180 A \,a^{2} b^{3} d^{2} e^{3} x -40 A a \,b^{4} d^{3} e^{2} x +5 A \,b^{5} d^{4} e x -12 B \,a^{5} d \,e^{4} \ln \left(b x +a \right)+12 B \,a^{5} d \,e^{4} \ln \left(e x +d \right)+25 B \,a^{5} e^{5} x -48 B \,a^{4} b \,d^{2} e^{3} \ln \left(b x +a \right)+48 B \,a^{4} b \,d^{2} e^{3} \ln \left(e x +d \right)+104 B \,a^{4} b d \,e^{4} x -20 B \,a^{3} b^{2} d^{2} e^{3} x -136 B \,a^{2} b^{3} d^{3} e^{2} x +31 B a \,b^{4} d^{4} e x -4 B \,b^{5} d^{5} x -12 A \,a^{5} e^{5}-65 A \,a^{4} b d \,e^{4}+120 A \,a^{3} b^{2} d^{2} e^{3}-60 A \,a^{2} b^{3} d^{3} e^{2}+20 A a \,b^{4} d^{4} e -3 A \,b^{5} d^{5}+37 B \,a^{5} d \,e^{4}-8 B \,a^{4} b \,d^{2} e^{3}-36 B \,a^{3} b^{2} d^{3} e^{2}+8 B \,a^{2} b^{3} d^{4} e -B a \,b^{4} d^{5}\right) \left(b x +a \right)}{12 \left(e x +d \right) \left(a e -b d \right)^{6} \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}"," ",0,"1/12*(37*B*a^5*d*e^4-B*a*b^4*d^5+25*B*x*a^5*e^5-4*B*x*b^5*d^5-3*A*b^5*d^5-12*A*a^5*e^5-48*B*x^4*b^5*d^2*e^3-210*A*x^3*a^2*b^3*e^5+60*A*ln(b*x+a)*x^5*b^5*e^5-60*A*ln(e*x+d)*x^5*b^5*e^5-12*B*ln(b*x+a)*x*a^5*e^5+12*B*ln(e*x+d)*x*a^5*e^5+42*B*x^3*a^3*b^2*e^5-65*A*a^4*b*d*e^4+120*A*a^3*b^2*d^2*e^3-60*A*a^2*b^3*d^3*e^2+20*A*a*b^4*d^4*e-8*B*a^4*b*d^2*e^3+8*B*a^2*b^3*d^4*e-36*B*a^3*b^2*d^3*e^2-12*B*ln(b*x+a)*a^5*d*e^4+12*B*ln(e*x+d)*a^5*d*e^4-24*B*x^3*b^5*d^3*e^2-260*A*x^2*a^3*b^2*e^5-10*A*x^2*b^5*d^3*e^2+52*B*x^2*a^4*b*e^5+8*B*x^2*b^5*d^4*e-125*A*x*a^4*b*e^5+5*A*x*b^5*d^4*e+30*A*x^3*b^5*d^2*e^3+12*B*x^4*a^2*b^3*e^5-60*A*x^4*a*b^4*e^5+60*A*x^4*b^5*d*e^4-288*B*ln(b*x+a)*x^2*a^2*b^3*d^2*e^3+264*B*ln(e*x+d)*x^2*a^3*b^2*d*e^4-264*B*ln(b*x+a)*x^2*a^3*b^2*d*e^4-240*A*ln(e*x+d)*x^3*a*b^4*d*e^4-336*B*ln(b*x+a)*x^3*a^2*b^3*d*e^4-192*B*ln(b*x+a)*x^3*a*b^4*d^2*e^3+336*B*ln(e*x+d)*x^3*a^2*b^3*d*e^4+192*B*ln(e*x+d)*x^3*a*b^4*d^2*e^3+360*A*ln(b*x+a)*x^2*a^2*b^3*d*e^4-360*A*ln(e*x+d)*x^2*a^2*b^3*d*e^4-240*A*ln(e*x+d)*x*a^3*b^2*d*e^4-96*B*ln(b*x+a)*x*a^4*b*d*e^4-192*B*ln(b*x+a)*x*a^3*b^2*d^2*e^3+96*B*ln(e*x+d)*x*a^4*b*d*e^4+192*B*ln(e*x+d)*x*a^3*b^2*d^2*e^3-204*B*ln(b*x+a)*x^4*a*b^4*d*e^4+204*B*ln(e*x+d)*x^4*a*b^4*d*e^4+240*A*ln(b*x+a)*x^3*a*b^4*d*e^4+288*B*ln(e*x+d)*x^2*a^2*b^3*d^2*e^3+240*A*ln(b*x+a)*x*a^3*b^2*d*e^4+60*A*ln(b*x+a)*a^4*b*d*e^4-60*A*ln(e*x+d)*a^4*b*d*e^4-48*B*ln(b*x+a)*a^4*b*d^2*e^3+48*B*ln(e*x+d)*a^4*b*d^2*e^3-12*B*ln(b*x+a)*x^5*a*b^4*e^5-48*B*ln(b*x+a)*x^5*b^5*d*e^4+12*B*ln(e*x+d)*x^5*a*b^4*e^5+48*B*ln(e*x+d)*x^5*b^5*d*e^4+240*A*ln(b*x+a)*x^4*a*b^4*e^5+60*A*ln(b*x+a)*x^4*b^5*d*e^4-240*A*ln(e*x+d)*x^4*a*b^4*e^5-60*A*ln(e*x+d)*x^4*b^5*d*e^4-48*B*ln(b*x+a)*x^4*a^2*b^3*e^5-48*B*ln(b*x+a)*x^4*b^5*d^2*e^3+48*B*ln(e*x+d)*x^4*a^2*b^3*e^5+48*B*ln(e*x+d)*x^4*b^5*d^2*e^3+360*A*ln(b*x+a)*x^3*a^2*b^3*e^5-360*A*ln(e*x+d)*x^3*a^2*b^3*e^5-72*B*ln(b*x+a)*x^3*a^3*b^2*e^5+72*B*ln(e*x+d)*x^3*a^3*b^2*e^5-150*B*x^3*a*b^4*d^2*e^3+180*A*x^3*a*b^4*d*e^4-136*B*x*a^2*b^3*d^3*e^2+31*B*x*a*b^4*d^4*e-40*A*x*a*b^4*d^3*e^2+104*B*x*a^4*b*d*e^4-20*B*x*a^3*b^2*d^2*e^3+180*A*x*a^2*b^3*d^2*e^3-20*A*x*a^3*b^2*d*e^4+36*B*x^4*a*b^4*d*e^4+150*A*x^2*a^2*b^3*d*e^4+120*A*x^2*a*b^4*d^2*e^3+178*B*x^2*a^3*b^2*d*e^4-144*B*x^2*a^2*b^3*d^2*e^3-94*B*x^2*a*b^4*d^3*e^2+240*A*ln(b*x+a)*x^2*a^3*b^2*e^5-240*A*ln(e*x+d)*x^2*a^3*b^2*e^5-48*B*ln(b*x+a)*x^2*a^4*b*e^5+48*B*ln(e*x+d)*x^2*a^4*b*e^5+60*A*ln(b*x+a)*x*a^4*b*e^5-60*A*ln(e*x+d)*x*a^4*b*e^5+132*B*x^3*a^2*b^3*d*e^4)*(b*x+a)/(e*x+d)/(a*e-b*d)^6/((b*x+a)^2)^(5/2)","B"
1783,1,2420,364,0.082000," ","int((B*x+A)/(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(180 A \,b^{6} e^{6} x^{6} \ln \left(b x +a \right)-180 A \,b^{6} e^{6} x^{6} \ln \left(e x +d \right)-60 B a \,b^{5} e^{6} x^{6} \ln \left(b x +a \right)+60 B a \,b^{5} e^{6} x^{6} \ln \left(e x +d \right)-120 B \,b^{6} d \,e^{5} x^{6} \ln \left(b x +a \right)+120 B \,b^{6} d \,e^{5} x^{6} \ln \left(e x +d \right)+720 A a \,b^{5} e^{6} x^{5} \ln \left(b x +a \right)-720 A a \,b^{5} e^{6} x^{5} \ln \left(e x +d \right)+360 A \,b^{6} d \,e^{5} x^{5} \ln \left(b x +a \right)-360 A \,b^{6} d \,e^{5} x^{5} \ln \left(e x +d \right)-240 B \,a^{2} b^{4} e^{6} x^{5} \ln \left(b x +a \right)+240 B \,a^{2} b^{4} e^{6} x^{5} \ln \left(e x +d \right)-600 B a \,b^{5} d \,e^{5} x^{5} \ln \left(b x +a \right)+600 B a \,b^{5} d \,e^{5} x^{5} \ln \left(e x +d \right)-240 B \,b^{6} d^{2} e^{4} x^{5} \ln \left(b x +a \right)+240 B \,b^{6} d^{2} e^{4} x^{5} \ln \left(e x +d \right)+1080 A \,a^{2} b^{4} e^{6} x^{4} \ln \left(b x +a \right)-1080 A \,a^{2} b^{4} e^{6} x^{4} \ln \left(e x +d \right)+1440 A a \,b^{5} d \,e^{5} x^{4} \ln \left(b x +a \right)-1440 A a \,b^{5} d \,e^{5} x^{4} \ln \left(e x +d \right)-180 A a \,b^{5} e^{6} x^{5}+180 A \,b^{6} d^{2} e^{4} x^{4} \ln \left(b x +a \right)-180 A \,b^{6} d^{2} e^{4} x^{4} \ln \left(e x +d \right)+180 A \,b^{6} d \,e^{5} x^{5}-360 B \,a^{3} b^{3} e^{6} x^{4} \ln \left(b x +a \right)+360 B \,a^{3} b^{3} e^{6} x^{4} \ln \left(e x +d \right)-1200 B \,a^{2} b^{4} d \,e^{5} x^{4} \ln \left(b x +a \right)+1200 B \,a^{2} b^{4} d \,e^{5} x^{4} \ln \left(e x +d \right)+60 B \,a^{2} b^{4} e^{6} x^{5}-1020 B a \,b^{5} d^{2} e^{4} x^{4} \ln \left(b x +a \right)+1020 B a \,b^{5} d^{2} e^{4} x^{4} \ln \left(e x +d \right)+60 B a \,b^{5} d \,e^{5} x^{5}-120 B \,b^{6} d^{3} e^{3} x^{4} \ln \left(b x +a \right)+120 B \,b^{6} d^{3} e^{3} x^{4} \ln \left(e x +d \right)-120 B \,b^{6} d^{2} e^{4} x^{5}+720 A \,a^{3} b^{3} e^{6} x^{3} \ln \left(b x +a \right)-720 A \,a^{3} b^{3} e^{6} x^{3} \ln \left(e x +d \right)+2160 A \,a^{2} b^{4} d \,e^{5} x^{3} \ln \left(b x +a \right)-2160 A \,a^{2} b^{4} d \,e^{5} x^{3} \ln \left(e x +d \right)-630 A \,a^{2} b^{4} e^{6} x^{4}+720 A a \,b^{5} d^{2} e^{4} x^{3} \ln \left(b x +a \right)-720 A a \,b^{5} d^{2} e^{4} x^{3} \ln \left(e x +d \right)+360 A a \,b^{5} d \,e^{5} x^{4}+270 A \,b^{6} d^{2} e^{4} x^{4}-240 B \,a^{4} b^{2} e^{6} x^{3} \ln \left(b x +a \right)+240 B \,a^{4} b^{2} e^{6} x^{3} \ln \left(e x +d \right)-1200 B \,a^{3} b^{3} d \,e^{5} x^{3} \ln \left(b x +a \right)+1200 B \,a^{3} b^{3} d \,e^{5} x^{3} \ln \left(e x +d \right)+210 B \,a^{3} b^{3} e^{6} x^{4}-1680 B \,a^{2} b^{4} d^{2} e^{4} x^{3} \ln \left(b x +a \right)+1680 B \,a^{2} b^{4} d^{2} e^{4} x^{3} \ln \left(e x +d \right)+300 B \,a^{2} b^{4} d \,e^{5} x^{4}-480 B a \,b^{5} d^{3} e^{3} x^{3} \ln \left(b x +a \right)+480 B a \,b^{5} d^{3} e^{3} x^{3} \ln \left(e x +d \right)-330 B a \,b^{5} d^{2} e^{4} x^{4}-180 B \,b^{6} d^{3} e^{3} x^{4}+180 A \,a^{4} b^{2} e^{6} x^{2} \ln \left(b x +a \right)-180 A \,a^{4} b^{2} e^{6} x^{2} \ln \left(e x +d \right)+1440 A \,a^{3} b^{3} d \,e^{5} x^{2} \ln \left(b x +a \right)-1440 A \,a^{3} b^{3} d \,e^{5} x^{2} \ln \left(e x +d \right)-780 A \,a^{3} b^{3} e^{6} x^{3}+1080 A \,a^{2} b^{4} d^{2} e^{4} x^{2} \ln \left(b x +a \right)-1080 A \,a^{2} b^{4} d^{2} e^{4} x^{2} \ln \left(e x +d \right)-180 A \,a^{2} b^{4} d \,e^{5} x^{3}+900 A a \,b^{5} d^{2} e^{4} x^{3}+60 A \,b^{6} d^{3} e^{3} x^{3}-60 B \,a^{5} b \,e^{6} x^{2} \ln \left(b x +a \right)+60 B \,a^{5} b \,e^{6} x^{2} \ln \left(e x +d \right)-600 B \,a^{4} b^{2} d \,e^{5} x^{2} \ln \left(b x +a \right)+600 B \,a^{4} b^{2} d \,e^{5} x^{2} \ln \left(e x +d \right)+260 B \,a^{4} b^{2} e^{6} x^{3}-1320 B \,a^{3} b^{3} d^{2} e^{4} x^{2} \ln \left(b x +a \right)+1320 B \,a^{3} b^{3} d^{2} e^{4} x^{2} \ln \left(e x +d \right)+580 B \,a^{3} b^{3} d \,e^{5} x^{3}-720 B \,a^{2} b^{4} d^{3} e^{3} x^{2} \ln \left(b x +a \right)+720 B \,a^{2} b^{4} d^{3} e^{3} x^{2} \ln \left(e x +d \right)-180 B \,a^{2} b^{4} d^{2} e^{4} x^{3}-620 B a \,b^{5} d^{3} e^{3} x^{3}-40 B \,b^{6} d^{4} e^{2} x^{3}+360 A \,a^{4} b^{2} d \,e^{5} x \ln \left(b x +a \right)-360 A \,a^{4} b^{2} d \,e^{5} x \ln \left(e x +d \right)-375 A \,a^{4} b^{2} e^{6} x^{2}+720 A \,a^{3} b^{3} d^{2} e^{4} x \ln \left(b x +a \right)-720 A \,a^{3} b^{3} d^{2} e^{4} x \ln \left(e x +d \right)-840 A \,a^{3} b^{3} d \,e^{5} x^{2}+990 A \,a^{2} b^{4} d^{2} e^{4} x^{2}+240 A a \,b^{5} d^{3} e^{3} x^{2}-15 A \,b^{6} d^{4} e^{2} x^{2}-120 B \,a^{5} b d \,e^{5} x \ln \left(b x +a \right)+120 B \,a^{5} b d \,e^{5} x \ln \left(e x +d \right)+125 B \,a^{5} b \,e^{6} x^{2}-480 B \,a^{4} b^{2} d^{2} e^{4} x \ln \left(b x +a \right)+480 B \,a^{4} b^{2} d^{2} e^{4} x \ln \left(e x +d \right)+530 B \,a^{4} b^{2} d \,e^{5} x^{2}-480 B \,a^{3} b^{3} d^{3} e^{3} x \ln \left(b x +a \right)+480 B \,a^{3} b^{3} d^{3} e^{3} x \ln \left(e x +d \right)+230 B \,a^{3} b^{3} d^{2} e^{4} x^{2}-740 B \,a^{2} b^{4} d^{3} e^{3} x^{2}-155 B a \,b^{5} d^{4} e^{2} x^{2}+10 B \,b^{6} d^{5} e \,x^{2}-36 A \,a^{5} b \,e^{6} x +180 A \,a^{4} b^{2} d^{2} e^{4} \ln \left(b x +a \right)-180 A \,a^{4} b^{2} d^{2} e^{4} \ln \left(e x +d \right)-570 A \,a^{4} b^{2} d \,e^{5} x +300 A \,a^{3} b^{3} d^{2} e^{4} x +360 A \,a^{2} b^{4} d^{3} e^{3} x -60 A a \,b^{5} d^{4} e^{2} x +6 A \,b^{6} d^{5} e x +12 B \,a^{6} e^{6} x -60 B \,a^{5} b \,d^{2} e^{4} \ln \left(b x +a \right)+60 B \,a^{5} b \,d^{2} e^{4} \ln \left(e x +d \right)+214 B \,a^{5} b d \,e^{5} x -120 B \,a^{4} b^{2} d^{3} e^{3} \ln \left(b x +a \right)+120 B \,a^{4} b^{2} d^{3} e^{3} \ln \left(e x +d \right)+280 B \,a^{4} b^{2} d^{2} e^{4} x -320 B \,a^{3} b^{3} d^{3} e^{3} x -220 B \,a^{2} b^{4} d^{4} e^{2} x +38 B a \,b^{5} d^{5} e x -4 B \,b^{6} d^{6} x +6 A \,a^{6} e^{6}-72 A \,a^{5} b d \,e^{5}-105 A \,a^{4} b^{2} d^{2} e^{4}+240 A \,a^{3} b^{3} d^{3} e^{3}-90 A \,a^{2} b^{4} d^{4} e^{2}+24 A a \,b^{5} d^{5} e -3 A \,b^{6} d^{6}+6 B \,a^{6} d \,e^{5}+125 B \,a^{5} b \,d^{2} e^{4}-80 B \,a^{4} b^{2} d^{3} e^{3}-60 B \,a^{3} b^{3} d^{4} e^{2}+10 B \,a^{2} b^{4} d^{5} e -B a \,b^{5} d^{6}\right) \left(b x +a \right)}{12 \left(e x +d \right)^{2} \left(a e -b d \right)^{7} \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}"," ",0,"-1/12*(-3*A*b^6*d^6+6*A*a^6*e^6-B*a*b^5*d^6+6*B*a^6*d*e^5-4*B*x*b^6*d^6+12*B*x*a^6*e^6+180*A*ln(b*x+a)*x^6*b^6*e^6-180*A*ln(e*x+d)*x^6*b^6*e^6-780*A*x^3*a^3*b^3*e^6+60*A*x^3*b^6*d^3*e^3-105*A*a^4*b^2*d^2*e^4+240*A*a^3*b^3*d^3*e^3-90*A*a^2*b^4*d^4*e^2+24*A*a*b^5*d^5*e+125*B*a^5*b*d^2*e^4-80*B*a^4*b^2*d^3*e^3-60*B*a^3*b^3*d^4*e^2+10*B*a^2*b^4*d^5*e-72*A*a^5*b*d*e^5+260*B*x^3*a^4*b^2*e^6-40*B*x^3*b^6*d^4*e^2-375*A*x^2*a^4*b^2*e^6-15*A*x^2*b^6*d^4*e^2+125*B*x^2*a^5*b*e^6+10*B*x^2*b^6*d^5*e+6*A*x*b^6*d^5*e-630*A*x^4*a^2*b^4*e^6+270*A*x^4*b^6*d^2*e^4+210*B*x^4*a^3*b^3*e^6-180*B*x^4*b^6*d^3*e^3-180*A*x^5*a*b^5*e^6+180*A*x^5*b^6*d*e^5+60*B*x^5*a^2*b^4*e^6-120*B*x^5*b^6*d^2*e^4-36*A*x*a^5*b*e^6-600*B*ln(b*x+a)*x^5*a*b^5*d*e^5+600*B*ln(e*x+d)*x^5*a*b^5*d*e^5+1200*B*ln(e*x+d)*x^3*a^3*b^3*d*e^5+1680*B*ln(e*x+d)*x^3*a^2*b^4*d^2*e^4+480*B*ln(e*x+d)*x^3*a*b^5*d^3*e^3+1440*A*ln(b*x+a)*x^2*a^3*b^3*d*e^5+1080*A*ln(b*x+a)*x^2*a^2*b^4*d^2*e^4-1440*A*ln(e*x+d)*x^2*a^3*b^3*d*e^5-1080*A*ln(e*x+d)*x^2*a^2*b^4*d^2*e^4-600*B*ln(b*x+a)*x^2*a^4*b^2*d*e^5-1320*B*ln(b*x+a)*x^2*a^3*b^3*d^2*e^4-720*B*ln(b*x+a)*x^2*a^2*b^4*d^3*e^3+600*B*ln(e*x+d)*x^2*a^4*b^2*d*e^5+1440*A*ln(b*x+a)*x^4*a*b^5*d*e^5+480*B*ln(e*x+d)*x*a^4*b^2*d^2*e^4+480*B*ln(e*x+d)*x*a^3*b^3*d^3*e^3-1440*A*ln(e*x+d)*x^4*a*b^5*d*e^5-1200*B*ln(b*x+a)*x^4*a^2*b^4*d*e^5-1020*B*ln(b*x+a)*x^4*a*b^5*d^2*e^4+1200*B*ln(e*x+d)*x^4*a^2*b^4*d*e^5+1020*B*ln(e*x+d)*x^4*a*b^5*d^2*e^4+2160*A*ln(b*x+a)*x^3*a^2*b^4*d*e^5+720*A*ln(b*x+a)*x^3*a*b^5*d^2*e^4-2160*A*ln(e*x+d)*x^3*a^2*b^4*d*e^5-720*A*ln(e*x+d)*x^3*a*b^5*d^2*e^4-1200*B*ln(b*x+a)*x^3*a^3*b^3*d*e^5-1680*B*ln(b*x+a)*x^3*a^2*b^4*d^2*e^4-480*B*ln(b*x+a)*x^3*a*b^5*d^3*e^3+1320*B*ln(e*x+d)*x^2*a^3*b^3*d^2*e^4+720*B*ln(e*x+d)*x^2*a^2*b^4*d^3*e^3+360*A*ln(b*x+a)*x*a^4*b^2*d*e^5+720*A*ln(b*x+a)*x*a^3*b^3*d^2*e^4-360*A*ln(e*x+d)*x*a^4*b^2*d*e^5-720*A*ln(e*x+d)*x*a^3*b^3*d^2*e^4-120*B*ln(b*x+a)*x*a^5*b*d*e^5-480*B*ln(b*x+a)*x*a^4*b^2*d^2*e^4-480*B*ln(b*x+a)*x*a^3*b^3*d^3*e^3+120*B*ln(e*x+d)*x*a^5*b*d*e^5-180*A*x^3*a^2*b^4*d*e^5+900*A*x^3*a*b^5*d^2*e^4+580*B*x^3*a^3*b^3*d*e^5-180*B*x^3*a^2*b^4*d^2*e^4-620*B*x^3*a*b^5*d^3*e^3-840*A*x^2*a^3*b^3*d*e^5+990*A*x^2*a^2*b^4*d^2*e^4+240*A*x^2*a*b^5*d^3*e^3+530*B*x^2*a^4*b^2*d*e^5+230*B*x^2*a^3*b^3*d^2*e^4-740*B*x^2*a^2*b^4*d^3*e^3-155*B*x^2*a*b^5*d^4*e^2-570*A*x*a^4*b^2*d*e^5+300*A*x*a^3*b^3*d^2*e^4+360*A*x*a^2*b^4*d^3*e^3-60*A*x*a*b^5*d^4*e^2+214*B*x*a^5*b*d*e^5+280*B*x*a^4*b^2*d^2*e^4-320*B*x*a^3*b^3*d^3*e^3-220*B*x*a^2*b^4*d^4*e^2+38*B*x*a*b^5*d^5*e+360*A*x^4*a*b^5*d*e^5+300*B*x^4*a^2*b^4*d*e^5-330*B*x^4*a*b^5*d^2*e^4+60*B*x^5*a*b^5*d*e^5+180*A*ln(b*x+a)*a^4*b^2*d^2*e^4-180*A*ln(e*x+d)*a^4*b^2*d^2*e^4-60*B*ln(b*x+a)*a^5*b*d^2*e^4-120*B*ln(b*x+a)*a^4*b^2*d^3*e^3+60*B*ln(e*x+d)*a^5*b*d^2*e^4+120*B*ln(e*x+d)*a^4*b^2*d^3*e^3-720*A*ln(e*x+d)*x^5*a*b^5*e^6-360*A*ln(e*x+d)*x^5*b^6*d*e^5-240*B*ln(b*x+a)*x^5*a^2*b^4*e^6-240*B*ln(b*x+a)*x^5*b^6*d^2*e^4+240*B*ln(e*x+d)*x^5*a^2*b^4*e^6+240*B*ln(e*x+d)*x^5*b^6*d^2*e^4+1080*A*ln(b*x+a)*x^4*a^2*b^4*e^6+180*A*ln(b*x+a)*x^4*b^6*d^2*e^4-1080*A*ln(e*x+d)*x^4*a^2*b^4*e^6-180*A*ln(e*x+d)*x^4*b^6*d^2*e^4-360*B*ln(b*x+a)*x^4*a^3*b^3*e^6-120*B*ln(b*x+a)*x^4*b^6*d^3*e^3+360*B*ln(e*x+d)*x^4*a^3*b^3*e^6+120*B*ln(e*x+d)*x^4*b^6*d^3*e^3+720*A*ln(b*x+a)*x^3*a^3*b^3*e^6-720*A*ln(e*x+d)*x^3*a^3*b^3*e^6-240*B*ln(b*x+a)*x^3*a^4*b^2*e^6+240*B*ln(e*x+d)*x^3*a^4*b^2*e^6-60*B*ln(b*x+a)*x^6*a*b^5*e^6-120*B*ln(b*x+a)*x^6*b^6*d*e^5+60*B*ln(e*x+d)*x^6*a*b^5*e^6+120*B*ln(e*x+d)*x^6*b^6*d*e^5+720*A*ln(b*x+a)*x^5*a*b^5*e^6+360*A*ln(b*x+a)*x^5*b^6*d*e^5+180*A*ln(b*x+a)*x^2*a^4*b^2*e^6-180*A*ln(e*x+d)*x^2*a^4*b^2*e^6-60*B*ln(b*x+a)*x^2*a^5*b*e^6+60*B*ln(e*x+d)*x^2*a^5*b*e^6)*(b*x+a)/(e*x+d)^2/(a*e-b*d)^7/((b*x+a)^2)^(5/2)","B"
1784,1,169,112,0.055000," ","int((B*x+A)*(e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2),x)","\frac{2 \left(e x +d \right)^{\frac{9}{2}} \left(429 B \,b^{2} x^{3} e^{3}+495 A \,b^{2} e^{3} x^{2}+990 B a b \,e^{3} x^{2}-198 B \,b^{2} d \,e^{2} x^{2}+1170 A a b \,e^{3} x -180 A \,b^{2} d \,e^{2} x +585 B \,a^{2} e^{3} x -360 B a b d \,e^{2} x +72 B \,b^{2} d^{2} e x +715 A \,a^{2} e^{3}-260 A a b d \,e^{2}+40 A \,b^{2} d^{2} e -130 B \,a^{2} d \,e^{2}+80 B a b \,d^{2} e -16 B \,b^{2} d^{3}\right)}{6435 e^{4}}"," ",0,"2/6435*(e*x+d)^(9/2)*(429*B*b^2*e^3*x^3+495*A*b^2*e^3*x^2+990*B*a*b*e^3*x^2-198*B*b^2*d*e^2*x^2+1170*A*a*b*e^3*x-180*A*b^2*d*e^2*x+585*B*a^2*e^3*x-360*B*a*b*d*e^2*x+72*B*b^2*d^2*e*x+715*A*a^2*e^3-260*A*a*b*d*e^2+40*A*b^2*d^2*e-130*B*a^2*d*e^2+80*B*a*b*d^2*e-16*B*b^2*d^3)/e^4","A"
1785,1,169,112,0.049000," ","int((B*x+A)*(e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2),x)","\frac{2 \left(e x +d \right)^{\frac{7}{2}} \left(693 B \,b^{2} x^{3} e^{3}+819 A \,b^{2} e^{3} x^{2}+1638 B a b \,e^{3} x^{2}-378 B \,b^{2} d \,e^{2} x^{2}+2002 A a b \,e^{3} x -364 A \,b^{2} d \,e^{2} x +1001 B \,a^{2} e^{3} x -728 B a b d \,e^{2} x +168 B \,b^{2} d^{2} e x +1287 A \,a^{2} e^{3}-572 A a b d \,e^{2}+104 A \,b^{2} d^{2} e -286 B \,a^{2} d \,e^{2}+208 B a b \,d^{2} e -48 B \,b^{2} d^{3}\right)}{9009 e^{4}}"," ",0,"2/9009*(e*x+d)^(7/2)*(693*B*b^2*e^3*x^3+819*A*b^2*e^3*x^2+1638*B*a*b*e^3*x^2-378*B*b^2*d*e^2*x^2+2002*A*a*b*e^3*x-364*A*b^2*d*e^2*x+1001*B*a^2*e^3*x-728*B*a*b*d*e^2*x+168*B*b^2*d^2*e*x+1287*A*a^2*e^3-572*A*a*b*d*e^2+104*A*b^2*d^2*e-286*B*a^2*d*e^2+208*B*a*b*d^2*e-48*B*b^2*d^3)/e^4","A"
1786,1,169,112,0.051000," ","int((B*x+A)*(e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2),x)","\frac{2 \left(e x +d \right)^{\frac{5}{2}} \left(315 B \,b^{2} x^{3} e^{3}+385 A \,b^{2} e^{3} x^{2}+770 B a b \,e^{3} x^{2}-210 B \,b^{2} d \,e^{2} x^{2}+990 A a b \,e^{3} x -220 A \,b^{2} d \,e^{2} x +495 B \,a^{2} e^{3} x -440 B a b d \,e^{2} x +120 B \,b^{2} d^{2} e x +693 A \,a^{2} e^{3}-396 A a b d \,e^{2}+88 A \,b^{2} d^{2} e -198 B \,a^{2} d \,e^{2}+176 B a b \,d^{2} e -48 B \,b^{2} d^{3}\right)}{3465 e^{4}}"," ",0,"2/3465*(e*x+d)^(5/2)*(315*B*b^2*e^3*x^3+385*A*b^2*e^3*x^2+770*B*a*b*e^3*x^2-210*B*b^2*d*e^2*x^2+990*A*a*b*e^3*x-220*A*b^2*d*e^2*x+495*B*a^2*e^3*x-440*B*a*b*d*e^2*x+120*B*b^2*d^2*e*x+693*A*a^2*e^3-396*A*a*b*d*e^2+88*A*b^2*d^2*e-198*B*a^2*d*e^2+176*B*a*b*d^2*e-48*B*b^2*d^3)/e^4","A"
1787,1,169,112,0.055000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)*(e*x+d)^(1/2),x)","\frac{2 \left(e x +d \right)^{\frac{3}{2}} \left(35 B \,b^{2} x^{3} e^{3}+45 A \,b^{2} e^{3} x^{2}+90 B a b \,e^{3} x^{2}-30 B \,b^{2} d \,e^{2} x^{2}+126 A a b \,e^{3} x -36 A \,b^{2} d \,e^{2} x +63 B \,a^{2} e^{3} x -72 B a b d \,e^{2} x +24 B \,b^{2} d^{2} e x +105 A \,a^{2} e^{3}-84 A a b d \,e^{2}+24 A \,b^{2} d^{2} e -42 B \,a^{2} d \,e^{2}+48 B a b \,d^{2} e -16 B \,b^{2} d^{3}\right)}{315 e^{4}}"," ",0,"2/315*(e*x+d)^(3/2)*(35*B*b^2*e^3*x^3+45*A*b^2*e^3*x^2+90*B*a*b*e^3*x^2-30*B*b^2*d*e^2*x^2+126*A*a*b*e^3*x-36*A*b^2*d*e^2*x+63*B*a^2*e^3*x-72*B*a*b*d*e^2*x+24*B*b^2*d^2*e*x+105*A*a^2*e^3-84*A*a*b*d*e^2+24*A*b^2*d^2*e-42*B*a^2*d*e^2+48*B*a*b*d^2*e-16*B*b^2*d^3)/e^4","A"
1788,1,169,112,0.049000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(1/2),x)","\frac{2 \left(15 B \,b^{2} x^{3} e^{3}+21 A \,b^{2} e^{3} x^{2}+42 B a b \,e^{3} x^{2}-18 B \,b^{2} d \,e^{2} x^{2}+70 A a b \,e^{3} x -28 A \,b^{2} d \,e^{2} x +35 B \,a^{2} e^{3} x -56 B a b d \,e^{2} x +24 B \,b^{2} d^{2} e x +105 A \,a^{2} e^{3}-140 A a b d \,e^{2}+56 A \,b^{2} d^{2} e -70 B \,a^{2} d \,e^{2}+112 B a b \,d^{2} e -48 B \,b^{2} d^{3}\right) \sqrt{e x +d}}{105 e^{4}}"," ",0,"2/105*(15*B*b^2*e^3*x^3+21*A*b^2*e^3*x^2+42*B*a*b*e^3*x^2-18*B*b^2*d*e^2*x^2+70*A*a*b*e^3*x-28*A*b^2*d*e^2*x+35*B*a^2*e^3*x-56*B*a*b*d*e^2*x+24*B*b^2*d^2*e*x+105*A*a^2*e^3-140*A*a*b*d*e^2+56*A*b^2*d^2*e-70*B*a^2*d*e^2+112*B*a*b*d^2*e-48*B*b^2*d^3)*(e*x+d)^(1/2)/e^4","A"
1789,1,169,112,0.051000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(3/2),x)","-\frac{2 \left(-3 B \,b^{2} x^{3} e^{3}-5 A \,b^{2} e^{3} x^{2}-10 B a b \,e^{3} x^{2}+6 B \,b^{2} d \,e^{2} x^{2}-30 A a b \,e^{3} x +20 A \,b^{2} d \,e^{2} x -15 B \,a^{2} e^{3} x +40 B a b d \,e^{2} x -24 B \,b^{2} d^{2} e x +15 A \,a^{2} e^{3}-60 A a b d \,e^{2}+40 A \,b^{2} d^{2} e -30 B \,a^{2} d \,e^{2}+80 B a b \,d^{2} e -48 B \,b^{2} d^{3}\right)}{15 \sqrt{e x +d}\, e^{4}}"," ",0,"-2/15*(-3*B*b^2*e^3*x^3-5*A*b^2*e^3*x^2-10*B*a*b*e^3*x^2+6*B*b^2*d*e^2*x^2-30*A*a*b*e^3*x+20*A*b^2*d*e^2*x-15*B*a^2*e^3*x+40*B*a*b*d*e^2*x-24*B*b^2*d^2*e*x+15*A*a^2*e^3-60*A*a*b*d*e^2+40*A*b^2*d^2*e-30*B*a^2*d*e^2+80*B*a*b*d^2*e-48*B*b^2*d^3)/(e*x+d)^(1/2)/e^4","A"
1790,1,168,112,0.047000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(5/2),x)","-\frac{2 \left(-B \,b^{2} x^{3} e^{3}-3 A \,b^{2} e^{3} x^{2}-6 B a b \,e^{3} x^{2}+6 B \,b^{2} d \,e^{2} x^{2}+6 A a b \,e^{3} x -12 A \,b^{2} d \,e^{2} x +3 B \,a^{2} e^{3} x -24 B a b d \,e^{2} x +24 B \,b^{2} d^{2} e x +A \,a^{2} e^{3}+4 A a b d \,e^{2}-8 A \,b^{2} d^{2} e +2 B \,a^{2} d \,e^{2}-16 B a b \,d^{2} e +16 B \,b^{2} d^{3}\right)}{3 \left(e x +d \right)^{\frac{3}{2}} e^{4}}"," ",0,"-2/3*(-B*b^2*e^3*x^3-3*A*b^2*e^3*x^2-6*B*a*b*e^3*x^2+6*B*b^2*d*e^2*x^2+6*A*a*b*e^3*x-12*A*b^2*d*e^2*x+3*B*a^2*e^3*x-24*B*a*b*d*e^2*x+24*B*b^2*d^2*e*x+A*a^2*e^3+4*A*a*b*d*e^2-8*A*b^2*d^2*e+2*B*a^2*d*e^2-16*B*a*b*d^2*e+16*B*b^2*d^3)/(e*x+d)^(3/2)/e^4","A"
1791,1,169,112,0.055000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(7/2),x)","-\frac{2 \left(-15 B \,b^{2} x^{3} e^{3}+15 A \,b^{2} e^{3} x^{2}+30 B a b \,e^{3} x^{2}-90 B \,b^{2} d \,e^{2} x^{2}+10 A a b \,e^{3} x +20 A \,b^{2} d \,e^{2} x +5 B \,a^{2} e^{3} x +40 B a b d \,e^{2} x -120 B \,b^{2} d^{2} e x +3 A \,a^{2} e^{3}+4 A a b d \,e^{2}+8 A \,b^{2} d^{2} e +2 B \,a^{2} d \,e^{2}+16 B a b \,d^{2} e -48 B \,b^{2} d^{3}\right)}{15 \left(e x +d \right)^{\frac{5}{2}} e^{4}}"," ",0,"-2/15*(-15*B*b^2*e^3*x^3+15*A*b^2*e^3*x^2+30*B*a*b*e^3*x^2-90*B*b^2*d*e^2*x^2+10*A*a*b*e^3*x+20*A*b^2*d*e^2*x+5*B*a^2*e^3*x+40*B*a*b*d*e^2*x-120*B*b^2*d^2*e*x+3*A*a^2*e^3+4*A*a*b*d*e^2+8*A*b^2*d^2*e+2*B*a^2*d*e^2+16*B*a*b*d^2*e-48*B*b^2*d^3)/(e*x+d)^(5/2)/e^4","A"
1792,1,469,194,0.053000," ","int((B*x+A)*(e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{2 \left(e x +d \right)^{\frac{9}{2}} \left(109395 b^{4} B \,x^{5} e^{5}+122265 A \,b^{4} e^{5} x^{4}+489060 B a \,b^{3} e^{5} x^{4}-64350 B \,b^{4} d \,e^{4} x^{4}+554268 A a \,b^{3} e^{5} x^{3}-65208 A \,b^{4} d \,e^{4} x^{3}+831402 B \,a^{2} b^{2} e^{5} x^{3}-260832 B a \,b^{3} d \,e^{4} x^{3}+34320 B \,b^{4} d^{2} e^{3} x^{3}+959310 A \,a^{2} b^{2} e^{5} x^{2}-255816 A a \,b^{3} d \,e^{4} x^{2}+30096 A \,b^{4} d^{2} e^{3} x^{2}+639540 B \,a^{3} b \,e^{5} x^{2}-383724 B \,a^{2} b^{2} d \,e^{4} x^{2}+120384 B a \,b^{3} d^{2} e^{3} x^{2}-15840 B \,b^{4} d^{3} e^{2} x^{2}+755820 A \,a^{3} b \,e^{5} x -348840 A \,a^{2} b^{2} d \,e^{4} x +93024 A a \,b^{3} d^{2} e^{3} x -10944 A \,b^{4} d^{3} e^{2} x +188955 B \,a^{4} e^{5} x -232560 B \,a^{3} b d \,e^{4} x +139536 B \,a^{2} b^{2} d^{2} e^{3} x -43776 B a \,b^{3} d^{3} e^{2} x +5760 B \,b^{4} d^{4} e x +230945 A \,a^{4} e^{5}-167960 A \,a^{3} b d \,e^{4}+77520 A \,a^{2} b^{2} d^{2} e^{3}-20672 A a \,b^{3} d^{3} e^{2}+2432 A \,b^{4} d^{4} e -41990 B \,a^{4} d \,e^{4}+51680 B \,d^{2} a^{3} b \,e^{3}-31008 B \,d^{3} a^{2} b^{2} e^{2}+9728 B a \,b^{3} d^{4} e -1280 B \,b^{4} d^{5}\right)}{2078505 e^{6}}"," ",0,"2/2078505*(e*x+d)^(9/2)*(109395*B*b^4*e^5*x^5+122265*A*b^4*e^5*x^4+489060*B*a*b^3*e^5*x^4-64350*B*b^4*d*e^4*x^4+554268*A*a*b^3*e^5*x^3-65208*A*b^4*d*e^4*x^3+831402*B*a^2*b^2*e^5*x^3-260832*B*a*b^3*d*e^4*x^3+34320*B*b^4*d^2*e^3*x^3+959310*A*a^2*b^2*e^5*x^2-255816*A*a*b^3*d*e^4*x^2+30096*A*b^4*d^2*e^3*x^2+639540*B*a^3*b*e^5*x^2-383724*B*a^2*b^2*d*e^4*x^2+120384*B*a*b^3*d^2*e^3*x^2-15840*B*b^4*d^3*e^2*x^2+755820*A*a^3*b*e^5*x-348840*A*a^2*b^2*d*e^4*x+93024*A*a*b^3*d^2*e^3*x-10944*A*b^4*d^3*e^2*x+188955*B*a^4*e^5*x-232560*B*a^3*b*d*e^4*x+139536*B*a^2*b^2*d^2*e^3*x-43776*B*a*b^3*d^3*e^2*x+5760*B*b^4*d^4*e*x+230945*A*a^4*e^5-167960*A*a^3*b*d*e^4+77520*A*a^2*b^2*d^2*e^3-20672*A*a*b^3*d^3*e^2+2432*A*b^4*d^4*e-41990*B*a^4*d*e^4+51680*B*a^3*b*d^2*e^3-31008*B*a^2*b^2*d^3*e^2+9728*B*a*b^3*d^4*e-1280*B*b^4*d^5)/e^6","B"
1793,1,469,194,0.051000," ","int((B*x+A)*(e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{2 \left(e x +d \right)^{\frac{7}{2}} \left(45045 b^{4} B \,x^{5} e^{5}+51051 A \,b^{4} e^{5} x^{4}+204204 B a \,b^{3} e^{5} x^{4}-30030 B \,b^{4} d \,e^{4} x^{4}+235620 A a \,b^{3} e^{5} x^{3}-31416 A \,b^{4} d \,e^{4} x^{3}+353430 B \,a^{2} b^{2} e^{5} x^{3}-125664 B a \,b^{3} d \,e^{4} x^{3}+18480 B \,b^{4} d^{2} e^{3} x^{3}+417690 A \,a^{2} b^{2} e^{5} x^{2}-128520 A a \,b^{3} d \,e^{4} x^{2}+17136 A \,b^{4} d^{2} e^{3} x^{2}+278460 B \,a^{3} b \,e^{5} x^{2}-192780 B \,a^{2} b^{2} d \,e^{4} x^{2}+68544 B a \,b^{3} d^{2} e^{3} x^{2}-10080 B \,b^{4} d^{3} e^{2} x^{2}+340340 A \,a^{3} b \,e^{5} x -185640 A \,a^{2} b^{2} d \,e^{4} x +57120 A a \,b^{3} d^{2} e^{3} x -7616 A \,b^{4} d^{3} e^{2} x +85085 B \,a^{4} e^{5} x -123760 B \,a^{3} b d \,e^{4} x +85680 B \,a^{2} b^{2} d^{2} e^{3} x -30464 B a \,b^{3} d^{3} e^{2} x +4480 B \,b^{4} d^{4} e x +109395 A \,a^{4} e^{5}-97240 A \,a^{3} b d \,e^{4}+53040 A \,a^{2} b^{2} d^{2} e^{3}-16320 A a \,b^{3} d^{3} e^{2}+2176 A \,b^{4} d^{4} e -24310 B \,a^{4} d \,e^{4}+35360 B \,d^{2} a^{3} b \,e^{3}-24480 B \,d^{3} a^{2} b^{2} e^{2}+8704 B a \,b^{3} d^{4} e -1280 B \,b^{4} d^{5}\right)}{765765 e^{6}}"," ",0,"2/765765*(e*x+d)^(7/2)*(45045*B*b^4*e^5*x^5+51051*A*b^4*e^5*x^4+204204*B*a*b^3*e^5*x^4-30030*B*b^4*d*e^4*x^4+235620*A*a*b^3*e^5*x^3-31416*A*b^4*d*e^4*x^3+353430*B*a^2*b^2*e^5*x^3-125664*B*a*b^3*d*e^4*x^3+18480*B*b^4*d^2*e^3*x^3+417690*A*a^2*b^2*e^5*x^2-128520*A*a*b^3*d*e^4*x^2+17136*A*b^4*d^2*e^3*x^2+278460*B*a^3*b*e^5*x^2-192780*B*a^2*b^2*d*e^4*x^2+68544*B*a*b^3*d^2*e^3*x^2-10080*B*b^4*d^3*e^2*x^2+340340*A*a^3*b*e^5*x-185640*A*a^2*b^2*d*e^4*x+57120*A*a*b^3*d^2*e^3*x-7616*A*b^4*d^3*e^2*x+85085*B*a^4*e^5*x-123760*B*a^3*b*d*e^4*x+85680*B*a^2*b^2*d^2*e^3*x-30464*B*a*b^3*d^3*e^2*x+4480*B*b^4*d^4*e*x+109395*A*a^4*e^5-97240*A*a^3*b*d*e^4+53040*A*a^2*b^2*d^2*e^3-16320*A*a*b^3*d^3*e^2+2176*A*b^4*d^4*e-24310*B*a^4*d*e^4+35360*B*a^3*b*d^2*e^3-24480*B*a^2*b^2*d^3*e^2+8704*B*a*b^3*d^4*e-1280*B*b^4*d^5)/e^6","B"
1794,1,469,194,0.054000," ","int((B*x+A)*(e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{2 \left(e x +d \right)^{\frac{5}{2}} \left(3003 b^{4} B \,x^{5} e^{5}+3465 A \,b^{4} e^{5} x^{4}+13860 B a \,b^{3} e^{5} x^{4}-2310 B \,b^{4} d \,e^{4} x^{4}+16380 A a \,b^{3} e^{5} x^{3}-2520 A \,b^{4} d \,e^{4} x^{3}+24570 B \,a^{2} b^{2} e^{5} x^{3}-10080 B a \,b^{3} d \,e^{4} x^{3}+1680 B \,b^{4} d^{2} e^{3} x^{3}+30030 A \,a^{2} b^{2} e^{5} x^{2}-10920 A a \,b^{3} d \,e^{4} x^{2}+1680 A \,b^{4} d^{2} e^{3} x^{2}+20020 B \,a^{3} b \,e^{5} x^{2}-16380 B \,a^{2} b^{2} d \,e^{4} x^{2}+6720 B a \,b^{3} d^{2} e^{3} x^{2}-1120 B \,b^{4} d^{3} e^{2} x^{2}+25740 A \,a^{3} b \,e^{5} x -17160 A \,a^{2} b^{2} d \,e^{4} x +6240 A a \,b^{3} d^{2} e^{3} x -960 A \,b^{4} d^{3} e^{2} x +6435 B \,a^{4} e^{5} x -11440 B \,a^{3} b d \,e^{4} x +9360 B \,a^{2} b^{2} d^{2} e^{3} x -3840 B a \,b^{3} d^{3} e^{2} x +640 B \,b^{4} d^{4} e x +9009 A \,a^{4} e^{5}-10296 A \,a^{3} b d \,e^{4}+6864 A \,a^{2} b^{2} d^{2} e^{3}-2496 A a \,b^{3} d^{3} e^{2}+384 A \,b^{4} d^{4} e -2574 B \,a^{4} d \,e^{4}+4576 B \,d^{2} a^{3} b \,e^{3}-3744 B \,d^{3} a^{2} b^{2} e^{2}+1536 B a \,b^{3} d^{4} e -256 B \,b^{4} d^{5}\right)}{45045 e^{6}}"," ",0,"2/45045*(e*x+d)^(5/2)*(3003*B*b^4*e^5*x^5+3465*A*b^4*e^5*x^4+13860*B*a*b^3*e^5*x^4-2310*B*b^4*d*e^4*x^4+16380*A*a*b^3*e^5*x^3-2520*A*b^4*d*e^4*x^3+24570*B*a^2*b^2*e^5*x^3-10080*B*a*b^3*d*e^4*x^3+1680*B*b^4*d^2*e^3*x^3+30030*A*a^2*b^2*e^5*x^2-10920*A*a*b^3*d*e^4*x^2+1680*A*b^4*d^2*e^3*x^2+20020*B*a^3*b*e^5*x^2-16380*B*a^2*b^2*d*e^4*x^2+6720*B*a*b^3*d^2*e^3*x^2-1120*B*b^4*d^3*e^2*x^2+25740*A*a^3*b*e^5*x-17160*A*a^2*b^2*d*e^4*x+6240*A*a*b^3*d^2*e^3*x-960*A*b^4*d^3*e^2*x+6435*B*a^4*e^5*x-11440*B*a^3*b*d*e^4*x+9360*B*a^2*b^2*d^2*e^3*x-3840*B*a*b^3*d^3*e^2*x+640*B*b^4*d^4*e*x+9009*A*a^4*e^5-10296*A*a^3*b*d*e^4+6864*A*a^2*b^2*d^2*e^3-2496*A*a*b^3*d^3*e^2+384*A*b^4*d^4*e-2574*B*a^4*d*e^4+4576*B*a^3*b*d^2*e^3-3744*B*a^2*b^2*d^3*e^2+1536*B*a*b^3*d^4*e-256*B*b^4*d^5)/e^6","B"
1795,1,469,194,0.072000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2*(e*x+d)^(1/2),x)","\frac{2 \left(e x +d \right)^{\frac{3}{2}} \left(3465 b^{4} B \,x^{5} e^{5}+4095 A \,b^{4} e^{5} x^{4}+16380 B a \,b^{3} e^{5} x^{4}-3150 B \,b^{4} d \,e^{4} x^{4}+20020 A a \,b^{3} e^{5} x^{3}-3640 A \,b^{4} d \,e^{4} x^{3}+30030 B \,a^{2} b^{2} e^{5} x^{3}-14560 B a \,b^{3} d \,e^{4} x^{3}+2800 B \,b^{4} d^{2} e^{3} x^{3}+38610 A \,a^{2} b^{2} e^{5} x^{2}-17160 A a \,b^{3} d \,e^{4} x^{2}+3120 A \,b^{4} d^{2} e^{3} x^{2}+25740 B \,a^{3} b \,e^{5} x^{2}-25740 B \,a^{2} b^{2} d \,e^{4} x^{2}+12480 B a \,b^{3} d^{2} e^{3} x^{2}-2400 B \,b^{4} d^{3} e^{2} x^{2}+36036 A \,a^{3} b \,e^{5} x -30888 A \,a^{2} b^{2} d \,e^{4} x +13728 A a \,b^{3} d^{2} e^{3} x -2496 A \,b^{4} d^{3} e^{2} x +9009 B \,a^{4} e^{5} x -20592 B \,a^{3} b d \,e^{4} x +20592 B \,a^{2} b^{2} d^{2} e^{3} x -9984 B a \,b^{3} d^{3} e^{2} x +1920 B \,b^{4} d^{4} e x +15015 A \,a^{4} e^{5}-24024 A \,a^{3} b d \,e^{4}+20592 A \,a^{2} b^{2} d^{2} e^{3}-9152 A a \,b^{3} d^{3} e^{2}+1664 A \,b^{4} d^{4} e -6006 B \,a^{4} d \,e^{4}+13728 B \,d^{2} a^{3} b \,e^{3}-13728 B \,d^{3} a^{2} b^{2} e^{2}+6656 B a \,b^{3} d^{4} e -1280 B \,b^{4} d^{5}\right)}{45045 e^{6}}"," ",0,"2/45045*(e*x+d)^(3/2)*(3465*B*b^4*e^5*x^5+4095*A*b^4*e^5*x^4+16380*B*a*b^3*e^5*x^4-3150*B*b^4*d*e^4*x^4+20020*A*a*b^3*e^5*x^3-3640*A*b^4*d*e^4*x^3+30030*B*a^2*b^2*e^5*x^3-14560*B*a*b^3*d*e^4*x^3+2800*B*b^4*d^2*e^3*x^3+38610*A*a^2*b^2*e^5*x^2-17160*A*a*b^3*d*e^4*x^2+3120*A*b^4*d^2*e^3*x^2+25740*B*a^3*b*e^5*x^2-25740*B*a^2*b^2*d*e^4*x^2+12480*B*a*b^3*d^2*e^3*x^2-2400*B*b^4*d^3*e^2*x^2+36036*A*a^3*b*e^5*x-30888*A*a^2*b^2*d*e^4*x+13728*A*a*b^3*d^2*e^3*x-2496*A*b^4*d^3*e^2*x+9009*B*a^4*e^5*x-20592*B*a^3*b*d*e^4*x+20592*B*a^2*b^2*d^2*e^3*x-9984*B*a*b^3*d^3*e^2*x+1920*B*b^4*d^4*e*x+15015*A*a^4*e^5-24024*A*a^3*b*d*e^4+20592*A*a^2*b^2*d^2*e^3-9152*A*a*b^3*d^3*e^2+1664*A*b^4*d^4*e-6006*B*a^4*d*e^4+13728*B*a^3*b*d^2*e^3-13728*B*a^2*b^2*d^3*e^2+6656*B*a*b^3*d^4*e-1280*B*b^4*d^5)/e^6","B"
1796,1,469,194,0.049000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(1/2),x)","\frac{2 \left(315 b^{4} B \,x^{5} e^{5}+385 A \,b^{4} e^{5} x^{4}+1540 B a \,b^{3} e^{5} x^{4}-350 B \,b^{4} d \,e^{4} x^{4}+1980 A a \,b^{3} e^{5} x^{3}-440 A \,b^{4} d \,e^{4} x^{3}+2970 B \,a^{2} b^{2} e^{5} x^{3}-1760 B a \,b^{3} d \,e^{4} x^{3}+400 B \,b^{4} d^{2} e^{3} x^{3}+4158 A \,a^{2} b^{2} e^{5} x^{2}-2376 A a \,b^{3} d \,e^{4} x^{2}+528 A \,b^{4} d^{2} e^{3} x^{2}+2772 B \,a^{3} b \,e^{5} x^{2}-3564 B \,a^{2} b^{2} d \,e^{4} x^{2}+2112 B a \,b^{3} d^{2} e^{3} x^{2}-480 B \,b^{4} d^{3} e^{2} x^{2}+4620 A \,a^{3} b \,e^{5} x -5544 A \,a^{2} b^{2} d \,e^{4} x +3168 A a \,b^{3} d^{2} e^{3} x -704 A \,b^{4} d^{3} e^{2} x +1155 B \,a^{4} e^{5} x -3696 B \,a^{3} b d \,e^{4} x +4752 B \,a^{2} b^{2} d^{2} e^{3} x -2816 B a \,b^{3} d^{3} e^{2} x +640 B \,b^{4} d^{4} e x +3465 A \,a^{4} e^{5}-9240 A \,a^{3} b d \,e^{4}+11088 A \,a^{2} b^{2} d^{2} e^{3}-6336 A a \,b^{3} d^{3} e^{2}+1408 A \,b^{4} d^{4} e -2310 B \,a^{4} d \,e^{4}+7392 B \,d^{2} a^{3} b \,e^{3}-9504 B \,d^{3} a^{2} b^{2} e^{2}+5632 B a \,b^{3} d^{4} e -1280 B \,b^{4} d^{5}\right) \sqrt{e x +d}}{3465 e^{6}}"," ",0,"2/3465*(315*B*b^4*e^5*x^5+385*A*b^4*e^5*x^4+1540*B*a*b^3*e^5*x^4-350*B*b^4*d*e^4*x^4+1980*A*a*b^3*e^5*x^3-440*A*b^4*d*e^4*x^3+2970*B*a^2*b^2*e^5*x^3-1760*B*a*b^3*d*e^4*x^3+400*B*b^4*d^2*e^3*x^3+4158*A*a^2*b^2*e^5*x^2-2376*A*a*b^3*d*e^4*x^2+528*A*b^4*d^2*e^3*x^2+2772*B*a^3*b*e^5*x^2-3564*B*a^2*b^2*d*e^4*x^2+2112*B*a*b^3*d^2*e^3*x^2-480*B*b^4*d^3*e^2*x^2+4620*A*a^3*b*e^5*x-5544*A*a^2*b^2*d*e^4*x+3168*A*a*b^3*d^2*e^3*x-704*A*b^4*d^3*e^2*x+1155*B*a^4*e^5*x-3696*B*a^3*b*d*e^4*x+4752*B*a^2*b^2*d^2*e^3*x-2816*B*a*b^3*d^3*e^2*x+640*B*b^4*d^4*e*x+3465*A*a^4*e^5-9240*A*a^3*b*d*e^4+11088*A*a^2*b^2*d^2*e^3-6336*A*a*b^3*d^3*e^2+1408*A*b^4*d^4*e-2310*B*a^4*d*e^4+7392*B*a^3*b*d^2*e^3-9504*B*a^2*b^2*d^3*e^2+5632*B*a*b^3*d^4*e-1280*B*b^4*d^5)*(e*x+d)^(1/2)/e^6","B"
1797,1,469,194,0.068000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(3/2),x)","-\frac{2 \left(-35 b^{4} B \,x^{5} e^{5}-45 A \,b^{4} e^{5} x^{4}-180 B a \,b^{3} e^{5} x^{4}+50 B \,b^{4} d \,e^{4} x^{4}-252 A a \,b^{3} e^{5} x^{3}+72 A \,b^{4} d \,e^{4} x^{3}-378 B \,a^{2} b^{2} e^{5} x^{3}+288 B a \,b^{3} d \,e^{4} x^{3}-80 B \,b^{4} d^{2} e^{3} x^{3}-630 A \,a^{2} b^{2} e^{5} x^{2}+504 A a \,b^{3} d \,e^{4} x^{2}-144 A \,b^{4} d^{2} e^{3} x^{2}-420 B \,a^{3} b \,e^{5} x^{2}+756 B \,a^{2} b^{2} d \,e^{4} x^{2}-576 B a \,b^{3} d^{2} e^{3} x^{2}+160 B \,b^{4} d^{3} e^{2} x^{2}-1260 A \,a^{3} b \,e^{5} x +2520 A \,a^{2} b^{2} d \,e^{4} x -2016 A a \,b^{3} d^{2} e^{3} x +576 A \,b^{4} d^{3} e^{2} x -315 B \,a^{4} e^{5} x +1680 B \,a^{3} b d \,e^{4} x -3024 B \,a^{2} b^{2} d^{2} e^{3} x +2304 B a \,b^{3} d^{3} e^{2} x -640 B \,b^{4} d^{4} e x +315 A \,a^{4} e^{5}-2520 A \,a^{3} b d \,e^{4}+5040 A \,a^{2} b^{2} d^{2} e^{3}-4032 A a \,b^{3} d^{3} e^{2}+1152 A \,b^{4} d^{4} e -630 B \,a^{4} d \,e^{4}+3360 B \,d^{2} a^{3} b \,e^{3}-6048 B \,d^{3} a^{2} b^{2} e^{2}+4608 B a \,b^{3} d^{4} e -1280 B \,b^{4} d^{5}\right)}{315 \sqrt{e x +d}\, e^{6}}"," ",0,"-2/315*(-35*B*b^4*e^5*x^5-45*A*b^4*e^5*x^4-180*B*a*b^3*e^5*x^4+50*B*b^4*d*e^4*x^4-252*A*a*b^3*e^5*x^3+72*A*b^4*d*e^4*x^3-378*B*a^2*b^2*e^5*x^3+288*B*a*b^3*d*e^4*x^3-80*B*b^4*d^2*e^3*x^3-630*A*a^2*b^2*e^5*x^2+504*A*a*b^3*d*e^4*x^2-144*A*b^4*d^2*e^3*x^2-420*B*a^3*b*e^5*x^2+756*B*a^2*b^2*d*e^4*x^2-576*B*a*b^3*d^2*e^3*x^2+160*B*b^4*d^3*e^2*x^2-1260*A*a^3*b*e^5*x+2520*A*a^2*b^2*d*e^4*x-2016*A*a*b^3*d^2*e^3*x+576*A*b^4*d^3*e^2*x-315*B*a^4*e^5*x+1680*B*a^3*b*d*e^4*x-3024*B*a^2*b^2*d^2*e^3*x+2304*B*a*b^3*d^3*e^2*x-640*B*b^4*d^4*e*x+315*A*a^4*e^5-2520*A*a^3*b*d*e^4+5040*A*a^2*b^2*d^2*e^3-4032*A*a*b^3*d^3*e^2+1152*A*b^4*d^4*e-630*B*a^4*d*e^4+3360*B*a^3*b*d^2*e^3-6048*B*a^2*b^2*d^3*e^2+4608*B*a*b^3*d^4*e-1280*B*b^4*d^5)/(e*x+d)^(1/2)/e^6","B"
1798,1,469,194,0.051000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(5/2),x)","-\frac{2 \left(-15 b^{4} B \,x^{5} e^{5}-21 A \,b^{4} e^{5} x^{4}-84 B a \,b^{3} e^{5} x^{4}+30 B \,b^{4} d \,e^{4} x^{4}-140 A a \,b^{3} e^{5} x^{3}+56 A \,b^{4} d \,e^{4} x^{3}-210 B \,a^{2} b^{2} e^{5} x^{3}+224 B a \,b^{3} d \,e^{4} x^{3}-80 B \,b^{4} d^{2} e^{3} x^{3}-630 A \,a^{2} b^{2} e^{5} x^{2}+840 A a \,b^{3} d \,e^{4} x^{2}-336 A \,b^{4} d^{2} e^{3} x^{2}-420 B \,a^{3} b \,e^{5} x^{2}+1260 B \,a^{2} b^{2} d \,e^{4} x^{2}-1344 B a \,b^{3} d^{2} e^{3} x^{2}+480 B \,b^{4} d^{3} e^{2} x^{2}+420 A \,a^{3} b \,e^{5} x -2520 A \,a^{2} b^{2} d \,e^{4} x +3360 A a \,b^{3} d^{2} e^{3} x -1344 A \,b^{4} d^{3} e^{2} x +105 B \,a^{4} e^{5} x -1680 B \,a^{3} b d \,e^{4} x +5040 B \,a^{2} b^{2} d^{2} e^{3} x -5376 B a \,b^{3} d^{3} e^{2} x +1920 B \,b^{4} d^{4} e x +35 A \,a^{4} e^{5}+280 A \,a^{3} b d \,e^{4}-1680 A \,a^{2} b^{2} d^{2} e^{3}+2240 A a \,b^{3} d^{3} e^{2}-896 A \,b^{4} d^{4} e +70 B \,a^{4} d \,e^{4}-1120 B \,d^{2} a^{3} b \,e^{3}+3360 B \,d^{3} a^{2} b^{2} e^{2}-3584 B a \,b^{3} d^{4} e +1280 B \,b^{4} d^{5}\right)}{105 \left(e x +d \right)^{\frac{3}{2}} e^{6}}"," ",0,"-2/105*(-15*B*b^4*e^5*x^5-21*A*b^4*e^5*x^4-84*B*a*b^3*e^5*x^4+30*B*b^4*d*e^4*x^4-140*A*a*b^3*e^5*x^3+56*A*b^4*d*e^4*x^3-210*B*a^2*b^2*e^5*x^3+224*B*a*b^3*d*e^4*x^3-80*B*b^4*d^2*e^3*x^3-630*A*a^2*b^2*e^5*x^2+840*A*a*b^3*d*e^4*x^2-336*A*b^4*d^2*e^3*x^2-420*B*a^3*b*e^5*x^2+1260*B*a^2*b^2*d*e^4*x^2-1344*B*a*b^3*d^2*e^3*x^2+480*B*b^4*d^3*e^2*x^2+420*A*a^3*b*e^5*x-2520*A*a^2*b^2*d*e^4*x+3360*A*a*b^3*d^2*e^3*x-1344*A*b^4*d^3*e^2*x+105*B*a^4*e^5*x-1680*B*a^3*b*d*e^4*x+5040*B*a^2*b^2*d^2*e^3*x-5376*B*a*b^3*d^3*e^2*x+1920*B*b^4*d^4*e*x+35*A*a^4*e^5+280*A*a^3*b*d*e^4-1680*A*a^2*b^2*d^2*e^3+2240*A*a*b^3*d^3*e^2-896*A*b^4*d^4*e+70*B*a^4*d*e^4-1120*B*a^3*b*d^2*e^3+3360*B*a^2*b^2*d^3*e^2-3584*B*a*b^3*d^4*e+1280*B*b^4*d^5)/(e*x+d)^(3/2)/e^6","B"
1799,1,469,194,0.050000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(7/2),x)","-\frac{2 \left(-3 b^{4} B \,x^{5} e^{5}-5 A \,b^{4} e^{5} x^{4}-20 B a \,b^{3} e^{5} x^{4}+10 B \,b^{4} d \,e^{4} x^{4}-60 A a \,b^{3} e^{5} x^{3}+40 A \,b^{4} d \,e^{4} x^{3}-90 B \,a^{2} b^{2} e^{5} x^{3}+160 B a \,b^{3} d \,e^{4} x^{3}-80 B \,b^{4} d^{2} e^{3} x^{3}+90 A \,a^{2} b^{2} e^{5} x^{2}-360 A a \,b^{3} d \,e^{4} x^{2}+240 A \,b^{4} d^{2} e^{3} x^{2}+60 B \,a^{3} b \,e^{5} x^{2}-540 B \,a^{2} b^{2} d \,e^{4} x^{2}+960 B a \,b^{3} d^{2} e^{3} x^{2}-480 B \,b^{4} d^{3} e^{2} x^{2}+20 A \,a^{3} b \,e^{5} x +120 A \,a^{2} b^{2} d \,e^{4} x -480 A a \,b^{3} d^{2} e^{3} x +320 A \,b^{4} d^{3} e^{2} x +5 B \,a^{4} e^{5} x +80 B \,a^{3} b d \,e^{4} x -720 B \,a^{2} b^{2} d^{2} e^{3} x +1280 B a \,b^{3} d^{3} e^{2} x -640 B \,b^{4} d^{4} e x +3 A \,a^{4} e^{5}+8 A \,a^{3} b d \,e^{4}+48 A \,a^{2} b^{2} d^{2} e^{3}-192 A a \,b^{3} d^{3} e^{2}+128 A \,b^{4} d^{4} e +2 B \,a^{4} d \,e^{4}+32 B \,d^{2} a^{3} b \,e^{3}-288 B \,d^{3} a^{2} b^{2} e^{2}+512 B a \,b^{3} d^{4} e -256 B \,b^{4} d^{5}\right)}{15 \left(e x +d \right)^{\frac{5}{2}} e^{6}}"," ",0,"-2/15*(-3*B*b^4*e^5*x^5-5*A*b^4*e^5*x^4-20*B*a*b^3*e^5*x^4+10*B*b^4*d*e^4*x^4-60*A*a*b^3*e^5*x^3+40*A*b^4*d*e^4*x^3-90*B*a^2*b^2*e^5*x^3+160*B*a*b^3*d*e^4*x^3-80*B*b^4*d^2*e^3*x^3+90*A*a^2*b^2*e^5*x^2-360*A*a*b^3*d*e^4*x^2+240*A*b^4*d^2*e^3*x^2+60*B*a^3*b*e^5*x^2-540*B*a^2*b^2*d*e^4*x^2+960*B*a*b^3*d^2*e^3*x^2-480*B*b^4*d^3*e^2*x^2+20*A*a^3*b*e^5*x+120*A*a^2*b^2*d*e^4*x-480*A*a*b^3*d^2*e^3*x+320*A*b^4*d^3*e^2*x+5*B*a^4*e^5*x+80*B*a^3*b*d*e^4*x-720*B*a^2*b^2*d^2*e^3*x+1280*B*a*b^3*d^3*e^2*x-640*B*b^4*d^4*e*x+3*A*a^4*e^5+8*A*a^3*b*d*e^4+48*A*a^2*b^2*d^2*e^3-192*A*a*b^3*d^3*e^2+128*A*b^4*d^4*e+2*B*a^4*d*e^4+32*B*a^3*b*d^2*e^3-288*B*a^2*b^2*d^3*e^2+512*B*a*b^3*d^4*e-256*B*b^4*d^5)/(e*x+d)^(5/2)/e^6","B"
1800,1,913,276,0.051000," ","int((B*x+A)*(e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{2 \left(e x +d \right)^{\frac{9}{2}} \left(2909907 B \,b^{6} x^{7} e^{7}+3187041 A \,b^{6} e^{7} x^{6}+19122246 B a \,b^{5} e^{7} x^{6}-1939938 B \,b^{6} d \,e^{6} x^{6}+21135114 A a \,b^{5} e^{7} x^{5}-2012868 A \,b^{6} d \,e^{6} x^{5}+52837785 B \,a^{2} b^{4} e^{7} x^{5}-12077208 B a \,b^{5} d \,e^{6} x^{5}+1225224 B \,b^{6} d^{2} e^{5} x^{5}+59053995 A \,a^{2} b^{4} e^{7} x^{4}-12432420 A a \,b^{5} d \,e^{6} x^{4}+1184040 A \,b^{6} d^{2} e^{5} x^{4}+78738660 B \,a^{3} b^{3} e^{7} x^{4}-31081050 B \,a^{2} b^{4} d \,e^{6} x^{4}+7104240 B a \,b^{5} d^{2} e^{5} x^{4}-720720 B \,b^{6} d^{3} e^{4} x^{4}+89237148 A \,a^{3} b^{3} e^{7} x^{3}-31495464 A \,a^{2} b^{4} d \,e^{6} x^{3}+6630624 A a \,b^{5} d^{2} e^{5} x^{3}-631488 A \,b^{6} d^{3} e^{4} x^{3}+66927861 B \,a^{4} b^{2} e^{7} x^{3}-41993952 B \,a^{3} b^{3} d \,e^{6} x^{3}+16576560 B \,a^{2} b^{4} d^{2} e^{5} x^{3}-3788928 B a \,b^{5} d^{3} e^{4} x^{3}+384384 B \,b^{6} d^{4} e^{3} x^{3}+77224455 A \,a^{4} b^{2} e^{7} x^{2}-41186376 A \,a^{3} b^{3} d \,e^{6} x^{2}+14536368 A \,a^{2} b^{4} d^{2} e^{5} x^{2}-3060288 A a \,b^{5} d^{3} e^{4} x^{2}+291456 A \,b^{6} d^{4} e^{3} x^{2}+30889782 B \,a^{5} b \,e^{7} x^{2}-30889782 B \,a^{4} b^{2} d \,e^{6} x^{2}+19381824 B \,a^{3} b^{3} d^{2} e^{5} x^{2}-7650720 B \,a^{2} b^{4} d^{3} e^{4} x^{2}+1748736 B a \,b^{5} d^{4} e^{3} x^{2}-177408 B \,b^{6} d^{5} e^{2} x^{2}+36506106 A \,a^{5} b \,e^{7} x -28081620 A \,a^{4} b^{2} d \,e^{6} x +14976864 A \,a^{3} b^{3} d^{2} e^{5} x -5285952 A \,a^{2} b^{4} d^{3} e^{4} x +1112832 A a \,b^{5} d^{4} e^{3} x -105984 A \,b^{6} d^{5} e^{2} x +6084351 B \,a^{6} e^{7} x -11232648 B \,a^{5} b d \,e^{6} x +11232648 B \,a^{4} b^{2} d^{2} e^{5} x -7047936 B \,a^{3} b^{3} d^{3} e^{4} x +2782080 B \,a^{2} b^{4} d^{4} e^{3} x -635904 B a \,b^{5} d^{5} e^{2} x +64512 B \,b^{6} d^{6} e x +7436429 A \,a^{6} e^{7}-8112468 A \,a^{5} b d \,e^{6}+6240360 A \,a^{4} b^{2} d^{2} e^{5}-3328192 A \,a^{3} b^{3} d^{3} e^{4}+1174656 A \,a^{2} b^{4} d^{4} e^{3}-247296 A a \,b^{5} d^{5} e^{2}+23552 A \,b^{6} d^{6} e -1352078 B \,a^{6} d \,e^{6}+2496144 B \,a^{5} b \,d^{2} e^{5}-2496144 B \,a^{4} b^{2} d^{3} e^{4}+1566208 B \,a^{3} b^{3} d^{4} e^{3}-618240 B \,a^{2} b^{4} d^{5} e^{2}+141312 B a \,b^{5} d^{6} e -14336 B \,b^{6} d^{7}\right)}{66927861 e^{8}}"," ",0,"2/66927861*(e*x+d)^(9/2)*(2909907*B*b^6*e^7*x^7+3187041*A*b^6*e^7*x^6+19122246*B*a*b^5*e^7*x^6-1939938*B*b^6*d*e^6*x^6+21135114*A*a*b^5*e^7*x^5-2012868*A*b^6*d*e^6*x^5+52837785*B*a^2*b^4*e^7*x^5-12077208*B*a*b^5*d*e^6*x^5+1225224*B*b^6*d^2*e^5*x^5+59053995*A*a^2*b^4*e^7*x^4-12432420*A*a*b^5*d*e^6*x^4+1184040*A*b^6*d^2*e^5*x^4+78738660*B*a^3*b^3*e^7*x^4-31081050*B*a^2*b^4*d*e^6*x^4+7104240*B*a*b^5*d^2*e^5*x^4-720720*B*b^6*d^3*e^4*x^4+89237148*A*a^3*b^3*e^7*x^3-31495464*A*a^2*b^4*d*e^6*x^3+6630624*A*a*b^5*d^2*e^5*x^3-631488*A*b^6*d^3*e^4*x^3+66927861*B*a^4*b^2*e^7*x^3-41993952*B*a^3*b^3*d*e^6*x^3+16576560*B*a^2*b^4*d^2*e^5*x^3-3788928*B*a*b^5*d^3*e^4*x^3+384384*B*b^6*d^4*e^3*x^3+77224455*A*a^4*b^2*e^7*x^2-41186376*A*a^3*b^3*d*e^6*x^2+14536368*A*a^2*b^4*d^2*e^5*x^2-3060288*A*a*b^5*d^3*e^4*x^2+291456*A*b^6*d^4*e^3*x^2+30889782*B*a^5*b*e^7*x^2-30889782*B*a^4*b^2*d*e^6*x^2+19381824*B*a^3*b^3*d^2*e^5*x^2-7650720*B*a^2*b^4*d^3*e^4*x^2+1748736*B*a*b^5*d^4*e^3*x^2-177408*B*b^6*d^5*e^2*x^2+36506106*A*a^5*b*e^7*x-28081620*A*a^4*b^2*d*e^6*x+14976864*A*a^3*b^3*d^2*e^5*x-5285952*A*a^2*b^4*d^3*e^4*x+1112832*A*a*b^5*d^4*e^3*x-105984*A*b^6*d^5*e^2*x+6084351*B*a^6*e^7*x-11232648*B*a^5*b*d*e^6*x+11232648*B*a^4*b^2*d^2*e^5*x-7047936*B*a^3*b^3*d^3*e^4*x+2782080*B*a^2*b^4*d^4*e^3*x-635904*B*a*b^5*d^5*e^2*x+64512*B*b^6*d^6*e*x+7436429*A*a^6*e^7-8112468*A*a^5*b*d*e^6+6240360*A*a^4*b^2*d^2*e^5-3328192*A*a^3*b^3*d^3*e^4+1174656*A*a^2*b^4*d^4*e^3-247296*A*a*b^5*d^5*e^2+23552*A*b^6*d^6*e-1352078*B*a^6*d*e^6+2496144*B*a^5*b*d^2*e^5-2496144*B*a^4*b^2*d^3*e^4+1566208*B*a^3*b^3*d^4*e^3-618240*B*a^2*b^4*d^5*e^2+141312*B*a*b^5*d^6*e-14336*B*b^6*d^7)/e^8","B"
1801,1,913,276,0.061000," ","int((B*x+A)*(e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{2 \left(e x +d \right)^{\frac{7}{2}} \left(138567 B \,b^{6} x^{7} e^{7}+153153 A \,b^{6} e^{7} x^{6}+918918 B a \,b^{5} e^{7} x^{6}-102102 B \,b^{6} d \,e^{6} x^{6}+1027026 A a \,b^{5} e^{7} x^{5}-108108 A \,b^{6} d \,e^{6} x^{5}+2567565 B \,a^{2} b^{4} e^{7} x^{5}-648648 B a \,b^{5} d \,e^{6} x^{5}+72072 B \,b^{6} d^{2} e^{5} x^{5}+2909907 A \,a^{2} b^{4} e^{7} x^{4}-684684 A a \,b^{5} d \,e^{6} x^{4}+72072 A \,b^{6} d^{2} e^{5} x^{4}+3879876 B \,a^{3} b^{3} e^{7} x^{4}-1711710 B \,a^{2} b^{4} d \,e^{6} x^{4}+432432 B a \,b^{5} d^{2} e^{5} x^{4}-48048 B \,b^{6} d^{3} e^{4} x^{4}+4476780 A \,a^{3} b^{3} e^{7} x^{3}-1790712 A \,a^{2} b^{4} d \,e^{6} x^{3}+421344 A a \,b^{5} d^{2} e^{5} x^{3}-44352 A \,b^{6} d^{3} e^{4} x^{3}+3357585 B \,a^{4} b^{2} e^{7} x^{3}-2387616 B \,a^{3} b^{3} d \,e^{6} x^{3}+1053360 B \,a^{2} b^{4} d^{2} e^{5} x^{3}-266112 B a \,b^{5} d^{3} e^{4} x^{3}+29568 B \,b^{6} d^{4} e^{3} x^{3}+3968055 A \,a^{4} b^{2} e^{7} x^{2}-2441880 A \,a^{3} b^{3} d \,e^{6} x^{2}+976752 A \,a^{2} b^{4} d^{2} e^{5} x^{2}-229824 A a \,b^{5} d^{3} e^{4} x^{2}+24192 A \,b^{6} d^{4} e^{3} x^{2}+1587222 B \,a^{5} b \,e^{7} x^{2}-1831410 B \,a^{4} b^{2} d \,e^{6} x^{2}+1302336 B \,a^{3} b^{3} d^{2} e^{5} x^{2}-574560 B \,a^{2} b^{4} d^{3} e^{4} x^{2}+145152 B a \,b^{5} d^{4} e^{3} x^{2}-16128 B \,b^{6} d^{5} e^{2} x^{2}+1939938 A \,a^{5} b \,e^{7} x -1763580 A \,a^{4} b^{2} d \,e^{6} x +1085280 A \,a^{3} b^{3} d^{2} e^{5} x -434112 A \,a^{2} b^{4} d^{3} e^{4} x +102144 A a \,b^{5} d^{4} e^{3} x -10752 A \,b^{6} d^{5} e^{2} x +323323 B \,a^{6} e^{7} x -705432 B \,a^{5} b d \,e^{6} x +813960 B \,a^{4} b^{2} d^{2} e^{5} x -578816 B \,a^{3} b^{3} d^{3} e^{4} x +255360 B \,a^{2} b^{4} d^{4} e^{3} x -64512 B a \,b^{5} d^{5} e^{2} x +7168 B \,b^{6} d^{6} e x +415701 A \,a^{6} e^{7}-554268 A \,a^{5} b d \,e^{6}+503880 A \,a^{4} b^{2} d^{2} e^{5}-310080 A \,a^{3} b^{3} d^{3} e^{4}+124032 A \,a^{2} b^{4} d^{4} e^{3}-29184 A a \,b^{5} d^{5} e^{2}+3072 A \,b^{6} d^{6} e -92378 B \,a^{6} d \,e^{6}+201552 B \,a^{5} b \,d^{2} e^{5}-232560 B \,a^{4} b^{2} d^{3} e^{4}+165376 B \,a^{3} b^{3} d^{4} e^{3}-72960 B \,a^{2} b^{4} d^{5} e^{2}+18432 B a \,b^{5} d^{6} e -2048 B \,b^{6} d^{7}\right)}{2909907 e^{8}}"," ",0,"2/2909907*(e*x+d)^(7/2)*(138567*B*b^6*e^7*x^7+153153*A*b^6*e^7*x^6+918918*B*a*b^5*e^7*x^6-102102*B*b^6*d*e^6*x^6+1027026*A*a*b^5*e^7*x^5-108108*A*b^6*d*e^6*x^5+2567565*B*a^2*b^4*e^7*x^5-648648*B*a*b^5*d*e^6*x^5+72072*B*b^6*d^2*e^5*x^5+2909907*A*a^2*b^4*e^7*x^4-684684*A*a*b^5*d*e^6*x^4+72072*A*b^6*d^2*e^5*x^4+3879876*B*a^3*b^3*e^7*x^4-1711710*B*a^2*b^4*d*e^6*x^4+432432*B*a*b^5*d^2*e^5*x^4-48048*B*b^6*d^3*e^4*x^4+4476780*A*a^3*b^3*e^7*x^3-1790712*A*a^2*b^4*d*e^6*x^3+421344*A*a*b^5*d^2*e^5*x^3-44352*A*b^6*d^3*e^4*x^3+3357585*B*a^4*b^2*e^7*x^3-2387616*B*a^3*b^3*d*e^6*x^3+1053360*B*a^2*b^4*d^2*e^5*x^3-266112*B*a*b^5*d^3*e^4*x^3+29568*B*b^6*d^4*e^3*x^3+3968055*A*a^4*b^2*e^7*x^2-2441880*A*a^3*b^3*d*e^6*x^2+976752*A*a^2*b^4*d^2*e^5*x^2-229824*A*a*b^5*d^3*e^4*x^2+24192*A*b^6*d^4*e^3*x^2+1587222*B*a^5*b*e^7*x^2-1831410*B*a^4*b^2*d*e^6*x^2+1302336*B*a^3*b^3*d^2*e^5*x^2-574560*B*a^2*b^4*d^3*e^4*x^2+145152*B*a*b^5*d^4*e^3*x^2-16128*B*b^6*d^5*e^2*x^2+1939938*A*a^5*b*e^7*x-1763580*A*a^4*b^2*d*e^6*x+1085280*A*a^3*b^3*d^2*e^5*x-434112*A*a^2*b^4*d^3*e^4*x+102144*A*a*b^5*d^4*e^3*x-10752*A*b^6*d^5*e^2*x+323323*B*a^6*e^7*x-705432*B*a^5*b*d*e^6*x+813960*B*a^4*b^2*d^2*e^5*x-578816*B*a^3*b^3*d^3*e^4*x+255360*B*a^2*b^4*d^4*e^3*x-64512*B*a*b^5*d^5*e^2*x+7168*B*b^6*d^6*e*x+415701*A*a^6*e^7-554268*A*a^5*b*d*e^6+503880*A*a^4*b^2*d^2*e^5-310080*A*a^3*b^3*d^3*e^4+124032*A*a^2*b^4*d^4*e^3-29184*A*a*b^5*d^5*e^2+3072*A*b^6*d^6*e-92378*B*a^6*d*e^6+201552*B*a^5*b*d^2*e^5-232560*B*a^4*b^2*d^3*e^4+165376*B*a^3*b^3*d^4*e^3-72960*B*a^2*b^4*d^5*e^2+18432*B*a*b^5*d^6*e-2048*B*b^6*d^7)/e^8","B"
1802,1,913,276,0.055000," ","int((B*x+A)*(e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{2 \left(e x +d \right)^{\frac{5}{2}} \left(255255 B \,b^{6} x^{7} e^{7}+285285 A \,b^{6} e^{7} x^{6}+1711710 B a \,b^{5} e^{7} x^{6}-210210 B \,b^{6} d \,e^{6} x^{6}+1939938 A a \,b^{5} e^{7} x^{5}-228228 A \,b^{6} d \,e^{6} x^{5}+4849845 B \,a^{2} b^{4} e^{7} x^{5}-1369368 B a \,b^{5} d \,e^{6} x^{5}+168168 B \,b^{6} d^{2} e^{5} x^{5}+5595975 A \,a^{2} b^{4} e^{7} x^{4}-1492260 A a \,b^{5} d \,e^{6} x^{4}+175560 A \,b^{6} d^{2} e^{5} x^{4}+7461300 B \,a^{3} b^{3} e^{7} x^{4}-3730650 B \,a^{2} b^{4} d \,e^{6} x^{4}+1053360 B a \,b^{5} d^{2} e^{5} x^{4}-129360 B \,b^{6} d^{3} e^{4} x^{4}+8817900 A \,a^{3} b^{3} e^{7} x^{3}-4069800 A \,a^{2} b^{4} d \,e^{6} x^{3}+1085280 A a \,b^{5} d^{2} e^{5} x^{3}-127680 A \,b^{6} d^{3} e^{4} x^{3}+6613425 B \,a^{4} b^{2} e^{7} x^{3}-5426400 B \,a^{3} b^{3} d \,e^{6} x^{3}+2713200 B \,a^{2} b^{4} d^{2} e^{5} x^{3}-766080 B a \,b^{5} d^{3} e^{4} x^{3}+94080 B \,b^{6} d^{4} e^{3} x^{3}+8083075 A \,a^{4} b^{2} e^{7} x^{2}-5878600 A \,a^{3} b^{3} d \,e^{6} x^{2}+2713200 A \,a^{2} b^{4} d^{2} e^{5} x^{2}-723520 A a \,b^{5} d^{3} e^{4} x^{2}+85120 A \,b^{6} d^{4} e^{3} x^{2}+3233230 B \,a^{5} b \,e^{7} x^{2}-4408950 B \,a^{4} b^{2} d \,e^{6} x^{2}+3617600 B \,a^{3} b^{3} d^{2} e^{5} x^{2}-1808800 B \,a^{2} b^{4} d^{3} e^{4} x^{2}+510720 B a \,b^{5} d^{4} e^{3} x^{2}-62720 B \,b^{6} d^{5} e^{2} x^{2}+4157010 A \,a^{5} b \,e^{7} x -4618900 A \,a^{4} b^{2} d \,e^{6} x +3359200 A \,a^{3} b^{3} d^{2} e^{5} x -1550400 A \,a^{2} b^{4} d^{3} e^{4} x +413440 A a \,b^{5} d^{4} e^{3} x -48640 A \,b^{6} d^{5} e^{2} x +692835 B \,a^{6} e^{7} x -1847560 B \,a^{5} b d \,e^{6} x +2519400 B \,a^{4} b^{2} d^{2} e^{5} x -2067200 B \,a^{3} b^{3} d^{3} e^{4} x +1033600 B \,a^{2} b^{4} d^{4} e^{3} x -291840 B a \,b^{5} d^{5} e^{2} x +35840 B \,b^{6} d^{6} e x +969969 A \,a^{6} e^{7}-1662804 A \,a^{5} b d \,e^{6}+1847560 A \,a^{4} b^{2} d^{2} e^{5}-1343680 A \,a^{3} b^{3} d^{3} e^{4}+620160 A \,a^{2} b^{4} d^{4} e^{3}-165376 A a \,b^{5} d^{5} e^{2}+19456 A \,b^{6} d^{6} e -277134 B \,a^{6} d \,e^{6}+739024 B \,a^{5} b \,d^{2} e^{5}-1007760 B \,a^{4} b^{2} d^{3} e^{4}+826880 B \,a^{3} b^{3} d^{4} e^{3}-413440 B \,a^{2} b^{4} d^{5} e^{2}+116736 B a \,b^{5} d^{6} e -14336 B \,b^{6} d^{7}\right)}{4849845 e^{8}}"," ",0,"2/4849845*(e*x+d)^(5/2)*(255255*B*b^6*e^7*x^7+285285*A*b^6*e^7*x^6+1711710*B*a*b^5*e^7*x^6-210210*B*b^6*d*e^6*x^6+1939938*A*a*b^5*e^7*x^5-228228*A*b^6*d*e^6*x^5+4849845*B*a^2*b^4*e^7*x^5-1369368*B*a*b^5*d*e^6*x^5+168168*B*b^6*d^2*e^5*x^5+5595975*A*a^2*b^4*e^7*x^4-1492260*A*a*b^5*d*e^6*x^4+175560*A*b^6*d^2*e^5*x^4+7461300*B*a^3*b^3*e^7*x^4-3730650*B*a^2*b^4*d*e^6*x^4+1053360*B*a*b^5*d^2*e^5*x^4-129360*B*b^6*d^3*e^4*x^4+8817900*A*a^3*b^3*e^7*x^3-4069800*A*a^2*b^4*d*e^6*x^3+1085280*A*a*b^5*d^2*e^5*x^3-127680*A*b^6*d^3*e^4*x^3+6613425*B*a^4*b^2*e^7*x^3-5426400*B*a^3*b^3*d*e^6*x^3+2713200*B*a^2*b^4*d^2*e^5*x^3-766080*B*a*b^5*d^3*e^4*x^3+94080*B*b^6*d^4*e^3*x^3+8083075*A*a^4*b^2*e^7*x^2-5878600*A*a^3*b^3*d*e^6*x^2+2713200*A*a^2*b^4*d^2*e^5*x^2-723520*A*a*b^5*d^3*e^4*x^2+85120*A*b^6*d^4*e^3*x^2+3233230*B*a^5*b*e^7*x^2-4408950*B*a^4*b^2*d*e^6*x^2+3617600*B*a^3*b^3*d^2*e^5*x^2-1808800*B*a^2*b^4*d^3*e^4*x^2+510720*B*a*b^5*d^4*e^3*x^2-62720*B*b^6*d^5*e^2*x^2+4157010*A*a^5*b*e^7*x-4618900*A*a^4*b^2*d*e^6*x+3359200*A*a^3*b^3*d^2*e^5*x-1550400*A*a^2*b^4*d^3*e^4*x+413440*A*a*b^5*d^4*e^3*x-48640*A*b^6*d^5*e^2*x+692835*B*a^6*e^7*x-1847560*B*a^5*b*d*e^6*x+2519400*B*a^4*b^2*d^2*e^5*x-2067200*B*a^3*b^3*d^3*e^4*x+1033600*B*a^2*b^4*d^4*e^3*x-291840*B*a*b^5*d^5*e^2*x+35840*B*b^6*d^6*e*x+969969*A*a^6*e^7-1662804*A*a^5*b*d*e^6+1847560*A*a^4*b^2*d^2*e^5-1343680*A*a^3*b^3*d^3*e^4+620160*A*a^2*b^4*d^4*e^3-165376*A*a*b^5*d^5*e^2+19456*A*b^6*d^6*e-277134*B*a^6*d*e^6+739024*B*a^5*b*d^2*e^5-1007760*B*a^4*b^2*d^3*e^4+826880*B*a^3*b^3*d^4*e^3-413440*B*a^2*b^4*d^5*e^2+116736*B*a*b^5*d^6*e-14336*B*b^6*d^7)/e^8","B"
1803,1,913,276,0.057000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3*(e*x+d)^(1/2),x)","\frac{2 \left(e x +d \right)^{\frac{3}{2}} \left(45045 B \,b^{6} x^{7} e^{7}+51051 A \,b^{6} e^{7} x^{6}+306306 B a \,b^{5} e^{7} x^{6}-42042 B \,b^{6} d \,e^{6} x^{6}+353430 A a \,b^{5} e^{7} x^{5}-47124 A \,b^{6} d \,e^{6} x^{5}+883575 B \,a^{2} b^{4} e^{7} x^{5}-282744 B a \,b^{5} d \,e^{6} x^{5}+38808 B \,b^{6} d^{2} e^{5} x^{5}+1044225 A \,a^{2} b^{4} e^{7} x^{4}-321300 A a \,b^{5} d \,e^{6} x^{4}+42840 A \,b^{6} d^{2} e^{5} x^{4}+1392300 B \,a^{3} b^{3} e^{7} x^{4}-803250 B \,a^{2} b^{4} d \,e^{6} x^{4}+257040 B a \,b^{5} d^{2} e^{5} x^{4}-35280 B \,b^{6} d^{3} e^{4} x^{4}+1701700 A \,a^{3} b^{3} e^{7} x^{3}-928200 A \,a^{2} b^{4} d \,e^{6} x^{3}+285600 A a \,b^{5} d^{2} e^{5} x^{3}-38080 A \,b^{6} d^{3} e^{4} x^{3}+1276275 B \,a^{4} b^{2} e^{7} x^{3}-1237600 B \,a^{3} b^{3} d \,e^{6} x^{3}+714000 B \,a^{2} b^{4} d^{2} e^{5} x^{3}-228480 B a \,b^{5} d^{3} e^{4} x^{3}+31360 B \,b^{6} d^{4} e^{3} x^{3}+1640925 A \,a^{4} b^{2} e^{7} x^{2}-1458600 A \,a^{3} b^{3} d \,e^{6} x^{2}+795600 A \,a^{2} b^{4} d^{2} e^{5} x^{2}-244800 A a \,b^{5} d^{3} e^{4} x^{2}+32640 A \,b^{6} d^{4} e^{3} x^{2}+656370 B \,a^{5} b \,e^{7} x^{2}-1093950 B \,a^{4} b^{2} d \,e^{6} x^{2}+1060800 B \,a^{3} b^{3} d^{2} e^{5} x^{2}-612000 B \,a^{2} b^{4} d^{3} e^{4} x^{2}+195840 B a \,b^{5} d^{4} e^{3} x^{2}-26880 B \,b^{6} d^{5} e^{2} x^{2}+918918 A \,a^{5} b \,e^{7} x -1312740 A \,a^{4} b^{2} d \,e^{6} x +1166880 A \,a^{3} b^{3} d^{2} e^{5} x -636480 A \,a^{2} b^{4} d^{3} e^{4} x +195840 A a \,b^{5} d^{4} e^{3} x -26112 A \,b^{6} d^{5} e^{2} x +153153 B \,a^{6} e^{7} x -525096 B \,a^{5} b d \,e^{6} x +875160 B \,a^{4} b^{2} d^{2} e^{5} x -848640 B \,a^{3} b^{3} d^{3} e^{4} x +489600 B \,a^{2} b^{4} d^{4} e^{3} x -156672 B a \,b^{5} d^{5} e^{2} x +21504 B \,b^{6} d^{6} e x +255255 A \,a^{6} e^{7}-612612 A \,a^{5} b d \,e^{6}+875160 A \,a^{4} b^{2} d^{2} e^{5}-777920 A \,a^{3} b^{3} d^{3} e^{4}+424320 A \,a^{2} b^{4} d^{4} e^{3}-130560 A a \,b^{5} d^{5} e^{2}+17408 A \,b^{6} d^{6} e -102102 B \,a^{6} d \,e^{6}+350064 B \,a^{5} b \,d^{2} e^{5}-583440 B \,a^{4} b^{2} d^{3} e^{4}+565760 B \,a^{3} b^{3} d^{4} e^{3}-326400 B \,a^{2} b^{4} d^{5} e^{2}+104448 B a \,b^{5} d^{6} e -14336 B \,b^{6} d^{7}\right)}{765765 e^{8}}"," ",0,"2/765765*(e*x+d)^(3/2)*(45045*B*b^6*e^7*x^7+51051*A*b^6*e^7*x^6+306306*B*a*b^5*e^7*x^6-42042*B*b^6*d*e^6*x^6+353430*A*a*b^5*e^7*x^5-47124*A*b^6*d*e^6*x^5+883575*B*a^2*b^4*e^7*x^5-282744*B*a*b^5*d*e^6*x^5+38808*B*b^6*d^2*e^5*x^5+1044225*A*a^2*b^4*e^7*x^4-321300*A*a*b^5*d*e^6*x^4+42840*A*b^6*d^2*e^5*x^4+1392300*B*a^3*b^3*e^7*x^4-803250*B*a^2*b^4*d*e^6*x^4+257040*B*a*b^5*d^2*e^5*x^4-35280*B*b^6*d^3*e^4*x^4+1701700*A*a^3*b^3*e^7*x^3-928200*A*a^2*b^4*d*e^6*x^3+285600*A*a*b^5*d^2*e^5*x^3-38080*A*b^6*d^3*e^4*x^3+1276275*B*a^4*b^2*e^7*x^3-1237600*B*a^3*b^3*d*e^6*x^3+714000*B*a^2*b^4*d^2*e^5*x^3-228480*B*a*b^5*d^3*e^4*x^3+31360*B*b^6*d^4*e^3*x^3+1640925*A*a^4*b^2*e^7*x^2-1458600*A*a^3*b^3*d*e^6*x^2+795600*A*a^2*b^4*d^2*e^5*x^2-244800*A*a*b^5*d^3*e^4*x^2+32640*A*b^6*d^4*e^3*x^2+656370*B*a^5*b*e^7*x^2-1093950*B*a^4*b^2*d*e^6*x^2+1060800*B*a^3*b^3*d^2*e^5*x^2-612000*B*a^2*b^4*d^3*e^4*x^2+195840*B*a*b^5*d^4*e^3*x^2-26880*B*b^6*d^5*e^2*x^2+918918*A*a^5*b*e^7*x-1312740*A*a^4*b^2*d*e^6*x+1166880*A*a^3*b^3*d^2*e^5*x-636480*A*a^2*b^4*d^3*e^4*x+195840*A*a*b^5*d^4*e^3*x-26112*A*b^6*d^5*e^2*x+153153*B*a^6*e^7*x-525096*B*a^5*b*d*e^6*x+875160*B*a^4*b^2*d^2*e^5*x-848640*B*a^3*b^3*d^3*e^4*x+489600*B*a^2*b^4*d^4*e^3*x-156672*B*a*b^5*d^5*e^2*x+21504*B*b^6*d^6*e*x+255255*A*a^6*e^7-612612*A*a^5*b*d*e^6+875160*A*a^4*b^2*d^2*e^5-777920*A*a^3*b^3*d^3*e^4+424320*A*a^2*b^4*d^4*e^3-130560*A*a*b^5*d^5*e^2+17408*A*b^6*d^6*e-102102*B*a^6*d*e^6+350064*B*a^5*b*d^2*e^5-583440*B*a^4*b^2*d^3*e^4+565760*B*a^3*b^3*d^4*e^3-326400*B*a^2*b^4*d^5*e^2+104448*B*a*b^5*d^6*e-14336*B*b^6*d^7)/e^8","B"
1804,1,913,276,0.056000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(1/2),x)","\frac{2 \left(3003 B \,b^{6} x^{7} e^{7}+3465 A \,b^{6} e^{7} x^{6}+20790 B a \,b^{5} e^{7} x^{6}-3234 B \,b^{6} d \,e^{6} x^{6}+24570 A a \,b^{5} e^{7} x^{5}-3780 A \,b^{6} d \,e^{6} x^{5}+61425 B \,a^{2} b^{4} e^{7} x^{5}-22680 B a \,b^{5} d \,e^{6} x^{5}+3528 B \,b^{6} d^{2} e^{5} x^{5}+75075 A \,a^{2} b^{4} e^{7} x^{4}-27300 A a \,b^{5} d \,e^{6} x^{4}+4200 A \,b^{6} d^{2} e^{5} x^{4}+100100 B \,a^{3} b^{3} e^{7} x^{4}-68250 B \,a^{2} b^{4} d \,e^{6} x^{4}+25200 B a \,b^{5} d^{2} e^{5} x^{4}-3920 B \,b^{6} d^{3} e^{4} x^{4}+128700 A \,a^{3} b^{3} e^{7} x^{3}-85800 A \,a^{2} b^{4} d \,e^{6} x^{3}+31200 A a \,b^{5} d^{2} e^{5} x^{3}-4800 A \,b^{6} d^{3} e^{4} x^{3}+96525 B \,a^{4} b^{2} e^{7} x^{3}-114400 B \,a^{3} b^{3} d \,e^{6} x^{3}+78000 B \,a^{2} b^{4} d^{2} e^{5} x^{3}-28800 B a \,b^{5} d^{3} e^{4} x^{3}+4480 B \,b^{6} d^{4} e^{3} x^{3}+135135 A \,a^{4} b^{2} e^{7} x^{2}-154440 A \,a^{3} b^{3} d \,e^{6} x^{2}+102960 A \,a^{2} b^{4} d^{2} e^{5} x^{2}-37440 A a \,b^{5} d^{3} e^{4} x^{2}+5760 A \,b^{6} d^{4} e^{3} x^{2}+54054 B \,a^{5} b \,e^{7} x^{2}-115830 B \,a^{4} b^{2} d \,e^{6} x^{2}+137280 B \,a^{3} b^{3} d^{2} e^{5} x^{2}-93600 B \,a^{2} b^{4} d^{3} e^{4} x^{2}+34560 B a \,b^{5} d^{4} e^{3} x^{2}-5376 B \,b^{6} d^{5} e^{2} x^{2}+90090 A \,a^{5} b \,e^{7} x -180180 A \,a^{4} b^{2} d \,e^{6} x +205920 A \,a^{3} b^{3} d^{2} e^{5} x -137280 A \,a^{2} b^{4} d^{3} e^{4} x +49920 A a \,b^{5} d^{4} e^{3} x -7680 A \,b^{6} d^{5} e^{2} x +15015 B \,a^{6} e^{7} x -72072 B \,a^{5} b d \,e^{6} x +154440 B \,a^{4} b^{2} d^{2} e^{5} x -183040 B \,a^{3} b^{3} d^{3} e^{4} x +124800 B \,a^{2} b^{4} d^{4} e^{3} x -46080 B a \,b^{5} d^{5} e^{2} x +7168 B \,b^{6} d^{6} e x +45045 A \,a^{6} e^{7}-180180 A \,a^{5} b d \,e^{6}+360360 A \,a^{4} b^{2} d^{2} e^{5}-411840 A \,a^{3} b^{3} d^{3} e^{4}+274560 A \,a^{2} b^{4} d^{4} e^{3}-99840 A a \,b^{5} d^{5} e^{2}+15360 A \,b^{6} d^{6} e -30030 B \,a^{6} d \,e^{6}+144144 B \,a^{5} b \,d^{2} e^{5}-308880 B \,a^{4} b^{2} d^{3} e^{4}+366080 B \,a^{3} b^{3} d^{4} e^{3}-249600 B \,a^{2} b^{4} d^{5} e^{2}+92160 B a \,b^{5} d^{6} e -14336 B \,b^{6} d^{7}\right) \sqrt{e x +d}}{45045 e^{8}}"," ",0,"2/45045*(3003*B*b^6*e^7*x^7+3465*A*b^6*e^7*x^6+20790*B*a*b^5*e^7*x^6-3234*B*b^6*d*e^6*x^6+24570*A*a*b^5*e^7*x^5-3780*A*b^6*d*e^6*x^5+61425*B*a^2*b^4*e^7*x^5-22680*B*a*b^5*d*e^6*x^5+3528*B*b^6*d^2*e^5*x^5+75075*A*a^2*b^4*e^7*x^4-27300*A*a*b^5*d*e^6*x^4+4200*A*b^6*d^2*e^5*x^4+100100*B*a^3*b^3*e^7*x^4-68250*B*a^2*b^4*d*e^6*x^4+25200*B*a*b^5*d^2*e^5*x^4-3920*B*b^6*d^3*e^4*x^4+128700*A*a^3*b^3*e^7*x^3-85800*A*a^2*b^4*d*e^6*x^3+31200*A*a*b^5*d^2*e^5*x^3-4800*A*b^6*d^3*e^4*x^3+96525*B*a^4*b^2*e^7*x^3-114400*B*a^3*b^3*d*e^6*x^3+78000*B*a^2*b^4*d^2*e^5*x^3-28800*B*a*b^5*d^3*e^4*x^3+4480*B*b^6*d^4*e^3*x^3+135135*A*a^4*b^2*e^7*x^2-154440*A*a^3*b^3*d*e^6*x^2+102960*A*a^2*b^4*d^2*e^5*x^2-37440*A*a*b^5*d^3*e^4*x^2+5760*A*b^6*d^4*e^3*x^2+54054*B*a^5*b*e^7*x^2-115830*B*a^4*b^2*d*e^6*x^2+137280*B*a^3*b^3*d^2*e^5*x^2-93600*B*a^2*b^4*d^3*e^4*x^2+34560*B*a*b^5*d^4*e^3*x^2-5376*B*b^6*d^5*e^2*x^2+90090*A*a^5*b*e^7*x-180180*A*a^4*b^2*d*e^6*x+205920*A*a^3*b^3*d^2*e^5*x-137280*A*a^2*b^4*d^3*e^4*x+49920*A*a*b^5*d^4*e^3*x-7680*A*b^6*d^5*e^2*x+15015*B*a^6*e^7*x-72072*B*a^5*b*d*e^6*x+154440*B*a^4*b^2*d^2*e^5*x-183040*B*a^3*b^3*d^3*e^4*x+124800*B*a^2*b^4*d^4*e^3*x-46080*B*a*b^5*d^5*e^2*x+7168*B*b^6*d^6*e*x+45045*A*a^6*e^7-180180*A*a^5*b*d*e^6+360360*A*a^4*b^2*d^2*e^5-411840*A*a^3*b^3*d^3*e^4+274560*A*a^2*b^4*d^4*e^3-99840*A*a*b^5*d^5*e^2+15360*A*b^6*d^6*e-30030*B*a^6*d*e^6+144144*B*a^5*b*d^2*e^5-308880*B*a^4*b^2*d^3*e^4+366080*B*a^3*b^3*d^4*e^3-249600*B*a^2*b^4*d^5*e^2+92160*B*a*b^5*d^6*e-14336*B*b^6*d^7)*(e*x+d)^(1/2)/e^8","B"
1805,1,913,276,0.056000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(3/2),x)","-\frac{2 \left(-231 B \,b^{6} x^{7} e^{7}-273 A \,b^{6} e^{7} x^{6}-1638 B a \,b^{5} e^{7} x^{6}+294 B \,b^{6} d \,e^{6} x^{6}-2002 A a \,b^{5} e^{7} x^{5}+364 A \,b^{6} d \,e^{6} x^{5}-5005 B \,a^{2} b^{4} e^{7} x^{5}+2184 B a \,b^{5} d \,e^{6} x^{5}-392 B \,b^{6} d^{2} e^{5} x^{5}-6435 A \,a^{2} b^{4} e^{7} x^{4}+2860 A a \,b^{5} d \,e^{6} x^{4}-520 A \,b^{6} d^{2} e^{5} x^{4}-8580 B \,a^{3} b^{3} e^{7} x^{4}+7150 B \,a^{2} b^{4} d \,e^{6} x^{4}-3120 B a \,b^{5} d^{2} e^{5} x^{4}+560 B \,b^{6} d^{3} e^{4} x^{4}-12012 A \,a^{3} b^{3} e^{7} x^{3}+10296 A \,a^{2} b^{4} d \,e^{6} x^{3}-4576 A a \,b^{5} d^{2} e^{5} x^{3}+832 A \,b^{6} d^{3} e^{4} x^{3}-9009 B \,a^{4} b^{2} e^{7} x^{3}+13728 B \,a^{3} b^{3} d \,e^{6} x^{3}-11440 B \,a^{2} b^{4} d^{2} e^{5} x^{3}+4992 B a \,b^{5} d^{3} e^{4} x^{3}-896 B \,b^{6} d^{4} e^{3} x^{3}-15015 A \,a^{4} b^{2} e^{7} x^{2}+24024 A \,a^{3} b^{3} d \,e^{6} x^{2}-20592 A \,a^{2} b^{4} d^{2} e^{5} x^{2}+9152 A a \,b^{5} d^{3} e^{4} x^{2}-1664 A \,b^{6} d^{4} e^{3} x^{2}-6006 B \,a^{5} b \,e^{7} x^{2}+18018 B \,a^{4} b^{2} d \,e^{6} x^{2}-27456 B \,a^{3} b^{3} d^{2} e^{5} x^{2}+22880 B \,a^{2} b^{4} d^{3} e^{4} x^{2}-9984 B a \,b^{5} d^{4} e^{3} x^{2}+1792 B \,b^{6} d^{5} e^{2} x^{2}-18018 A \,a^{5} b \,e^{7} x +60060 A \,a^{4} b^{2} d \,e^{6} x -96096 A \,a^{3} b^{3} d^{2} e^{5} x +82368 A \,a^{2} b^{4} d^{3} e^{4} x -36608 A a \,b^{5} d^{4} e^{3} x +6656 A \,b^{6} d^{5} e^{2} x -3003 B \,a^{6} e^{7} x +24024 B \,a^{5} b d \,e^{6} x -72072 B \,a^{4} b^{2} d^{2} e^{5} x +109824 B \,a^{3} b^{3} d^{3} e^{4} x -91520 B \,a^{2} b^{4} d^{4} e^{3} x +39936 B a \,b^{5} d^{5} e^{2} x -7168 B \,b^{6} d^{6} e x +3003 A \,a^{6} e^{7}-36036 A \,a^{5} b d \,e^{6}+120120 A \,a^{4} b^{2} d^{2} e^{5}-192192 A \,a^{3} b^{3} d^{3} e^{4}+164736 A \,a^{2} b^{4} d^{4} e^{3}-73216 A a \,b^{5} d^{5} e^{2}+13312 A \,b^{6} d^{6} e -6006 B \,a^{6} d \,e^{6}+48048 B \,a^{5} b \,d^{2} e^{5}-144144 B \,a^{4} b^{2} d^{3} e^{4}+219648 B \,a^{3} b^{3} d^{4} e^{3}-183040 B \,a^{2} b^{4} d^{5} e^{2}+79872 B a \,b^{5} d^{6} e -14336 B \,b^{6} d^{7}\right)}{3003 \sqrt{e x +d}\, e^{8}}"," ",0,"-2/3003*(-231*B*b^6*e^7*x^7-273*A*b^6*e^7*x^6-1638*B*a*b^5*e^7*x^6+294*B*b^6*d*e^6*x^6-2002*A*a*b^5*e^7*x^5+364*A*b^6*d*e^6*x^5-5005*B*a^2*b^4*e^7*x^5+2184*B*a*b^5*d*e^6*x^5-392*B*b^6*d^2*e^5*x^5-6435*A*a^2*b^4*e^7*x^4+2860*A*a*b^5*d*e^6*x^4-520*A*b^6*d^2*e^5*x^4-8580*B*a^3*b^3*e^7*x^4+7150*B*a^2*b^4*d*e^6*x^4-3120*B*a*b^5*d^2*e^5*x^4+560*B*b^6*d^3*e^4*x^4-12012*A*a^3*b^3*e^7*x^3+10296*A*a^2*b^4*d*e^6*x^3-4576*A*a*b^5*d^2*e^5*x^3+832*A*b^6*d^3*e^4*x^3-9009*B*a^4*b^2*e^7*x^3+13728*B*a^3*b^3*d*e^6*x^3-11440*B*a^2*b^4*d^2*e^5*x^3+4992*B*a*b^5*d^3*e^4*x^3-896*B*b^6*d^4*e^3*x^3-15015*A*a^4*b^2*e^7*x^2+24024*A*a^3*b^3*d*e^6*x^2-20592*A*a^2*b^4*d^2*e^5*x^2+9152*A*a*b^5*d^3*e^4*x^2-1664*A*b^6*d^4*e^3*x^2-6006*B*a^5*b*e^7*x^2+18018*B*a^4*b^2*d*e^6*x^2-27456*B*a^3*b^3*d^2*e^5*x^2+22880*B*a^2*b^4*d^3*e^4*x^2-9984*B*a*b^5*d^4*e^3*x^2+1792*B*b^6*d^5*e^2*x^2-18018*A*a^5*b*e^7*x+60060*A*a^4*b^2*d*e^6*x-96096*A*a^3*b^3*d^2*e^5*x+82368*A*a^2*b^4*d^3*e^4*x-36608*A*a*b^5*d^4*e^3*x+6656*A*b^6*d^5*e^2*x-3003*B*a^6*e^7*x+24024*B*a^5*b*d*e^6*x-72072*B*a^4*b^2*d^2*e^5*x+109824*B*a^3*b^3*d^3*e^4*x-91520*B*a^2*b^4*d^4*e^3*x+39936*B*a*b^5*d^5*e^2*x-7168*B*b^6*d^6*e*x+3003*A*a^6*e^7-36036*A*a^5*b*d*e^6+120120*A*a^4*b^2*d^2*e^5-192192*A*a^3*b^3*d^3*e^4+164736*A*a^2*b^4*d^4*e^3-73216*A*a*b^5*d^5*e^2+13312*A*b^6*d^6*e-6006*B*a^6*d*e^6+48048*B*a^5*b*d^2*e^5-144144*B*a^4*b^2*d^3*e^4+219648*B*a^3*b^3*d^4*e^3-183040*B*a^2*b^4*d^5*e^2+79872*B*a*b^5*d^6*e-14336*B*b^6*d^7)/(e*x+d)^(1/2)/e^8","B"
1806,1,913,276,0.055000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(5/2),x)","-\frac{2 \left(-63 B \,b^{6} x^{7} e^{7}-77 A \,b^{6} e^{7} x^{6}-462 B a \,b^{5} e^{7} x^{6}+98 B \,b^{6} d \,e^{6} x^{6}-594 A a \,b^{5} e^{7} x^{5}+132 A \,b^{6} d \,e^{6} x^{5}-1485 B \,a^{2} b^{4} e^{7} x^{5}+792 B a \,b^{5} d \,e^{6} x^{5}-168 B \,b^{6} d^{2} e^{5} x^{5}-2079 A \,a^{2} b^{4} e^{7} x^{4}+1188 A a \,b^{5} d \,e^{6} x^{4}-264 A \,b^{6} d^{2} e^{5} x^{4}-2772 B \,a^{3} b^{3} e^{7} x^{4}+2970 B \,a^{2} b^{4} d \,e^{6} x^{4}-1584 B a \,b^{5} d^{2} e^{5} x^{4}+336 B \,b^{6} d^{3} e^{4} x^{4}-4620 A \,a^{3} b^{3} e^{7} x^{3}+5544 A \,a^{2} b^{4} d \,e^{6} x^{3}-3168 A a \,b^{5} d^{2} e^{5} x^{3}+704 A \,b^{6} d^{3} e^{4} x^{3}-3465 B \,a^{4} b^{2} e^{7} x^{3}+7392 B \,a^{3} b^{3} d \,e^{6} x^{3}-7920 B \,a^{2} b^{4} d^{2} e^{5} x^{3}+4224 B a \,b^{5} d^{3} e^{4} x^{3}-896 B \,b^{6} d^{4} e^{3} x^{3}-10395 A \,a^{4} b^{2} e^{7} x^{2}+27720 A \,a^{3} b^{3} d \,e^{6} x^{2}-33264 A \,a^{2} b^{4} d^{2} e^{5} x^{2}+19008 A a \,b^{5} d^{3} e^{4} x^{2}-4224 A \,b^{6} d^{4} e^{3} x^{2}-4158 B \,a^{5} b \,e^{7} x^{2}+20790 B \,a^{4} b^{2} d \,e^{6} x^{2}-44352 B \,a^{3} b^{3} d^{2} e^{5} x^{2}+47520 B \,a^{2} b^{4} d^{3} e^{4} x^{2}-25344 B a \,b^{5} d^{4} e^{3} x^{2}+5376 B \,b^{6} d^{5} e^{2} x^{2}+4158 A \,a^{5} b \,e^{7} x -41580 A \,a^{4} b^{2} d \,e^{6} x +110880 A \,a^{3} b^{3} d^{2} e^{5} x -133056 A \,a^{2} b^{4} d^{3} e^{4} x +76032 A a \,b^{5} d^{4} e^{3} x -16896 A \,b^{6} d^{5} e^{2} x +693 B \,a^{6} e^{7} x -16632 B \,a^{5} b d \,e^{6} x +83160 B \,a^{4} b^{2} d^{2} e^{5} x -177408 B \,a^{3} b^{3} d^{3} e^{4} x +190080 B \,a^{2} b^{4} d^{4} e^{3} x -101376 B a \,b^{5} d^{5} e^{2} x +21504 B \,b^{6} d^{6} e x +231 A \,a^{6} e^{7}+2772 A \,a^{5} b d \,e^{6}-27720 A \,a^{4} b^{2} d^{2} e^{5}+73920 A \,a^{3} b^{3} d^{3} e^{4}-88704 A \,a^{2} b^{4} d^{4} e^{3}+50688 A a \,b^{5} d^{5} e^{2}-11264 A \,b^{6} d^{6} e +462 B \,a^{6} d \,e^{6}-11088 B \,a^{5} b \,d^{2} e^{5}+55440 B \,a^{4} b^{2} d^{3} e^{4}-118272 B \,a^{3} b^{3} d^{4} e^{3}+126720 B \,a^{2} b^{4} d^{5} e^{2}-67584 B a \,b^{5} d^{6} e +14336 B \,b^{6} d^{7}\right)}{693 \left(e x +d \right)^{\frac{3}{2}} e^{8}}"," ",0,"-2/693*(-63*B*b^6*e^7*x^7-77*A*b^6*e^7*x^6-462*B*a*b^5*e^7*x^6+98*B*b^6*d*e^6*x^6-594*A*a*b^5*e^7*x^5+132*A*b^6*d*e^6*x^5-1485*B*a^2*b^4*e^7*x^5+792*B*a*b^5*d*e^6*x^5-168*B*b^6*d^2*e^5*x^5-2079*A*a^2*b^4*e^7*x^4+1188*A*a*b^5*d*e^6*x^4-264*A*b^6*d^2*e^5*x^4-2772*B*a^3*b^3*e^7*x^4+2970*B*a^2*b^4*d*e^6*x^4-1584*B*a*b^5*d^2*e^5*x^4+336*B*b^6*d^3*e^4*x^4-4620*A*a^3*b^3*e^7*x^3+5544*A*a^2*b^4*d*e^6*x^3-3168*A*a*b^5*d^2*e^5*x^3+704*A*b^6*d^3*e^4*x^3-3465*B*a^4*b^2*e^7*x^3+7392*B*a^3*b^3*d*e^6*x^3-7920*B*a^2*b^4*d^2*e^5*x^3+4224*B*a*b^5*d^3*e^4*x^3-896*B*b^6*d^4*e^3*x^3-10395*A*a^4*b^2*e^7*x^2+27720*A*a^3*b^3*d*e^6*x^2-33264*A*a^2*b^4*d^2*e^5*x^2+19008*A*a*b^5*d^3*e^4*x^2-4224*A*b^6*d^4*e^3*x^2-4158*B*a^5*b*e^7*x^2+20790*B*a^4*b^2*d*e^6*x^2-44352*B*a^3*b^3*d^2*e^5*x^2+47520*B*a^2*b^4*d^3*e^4*x^2-25344*B*a*b^5*d^4*e^3*x^2+5376*B*b^6*d^5*e^2*x^2+4158*A*a^5*b*e^7*x-41580*A*a^4*b^2*d*e^6*x+110880*A*a^3*b^3*d^2*e^5*x-133056*A*a^2*b^4*d^3*e^4*x+76032*A*a*b^5*d^4*e^3*x-16896*A*b^6*d^5*e^2*x+693*B*a^6*e^7*x-16632*B*a^5*b*d*e^6*x+83160*B*a^4*b^2*d^2*e^5*x-177408*B*a^3*b^3*d^3*e^4*x+190080*B*a^2*b^4*d^4*e^3*x-101376*B*a*b^5*d^5*e^2*x+21504*B*b^6*d^6*e*x+231*A*a^6*e^7+2772*A*a^5*b*d*e^6-27720*A*a^4*b^2*d^2*e^5+73920*A*a^3*b^3*d^3*e^4-88704*A*a^2*b^4*d^4*e^3+50688*A*a*b^5*d^5*e^2-11264*A*b^6*d^6*e+462*B*a^6*d*e^6-11088*B*a^5*b*d^2*e^5+55440*B*a^4*b^2*d^3*e^4-118272*B*a^3*b^3*d^4*e^3+126720*B*a^2*b^4*d^5*e^2-67584*B*a*b^5*d^6*e+14336*B*b^6*d^7)/(e*x+d)^(3/2)/e^8","B"
1807,1,913,276,0.051000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(7/2),x)","-\frac{2 \left(-35 B \,b^{6} x^{7} e^{7}-45 A \,b^{6} e^{7} x^{6}-270 B a \,b^{5} e^{7} x^{6}+70 B \,b^{6} d \,e^{6} x^{6}-378 A a \,b^{5} e^{7} x^{5}+108 A \,b^{6} d \,e^{6} x^{5}-945 B \,a^{2} b^{4} e^{7} x^{5}+648 B a \,b^{5} d \,e^{6} x^{5}-168 B \,b^{6} d^{2} e^{5} x^{5}-1575 A \,a^{2} b^{4} e^{7} x^{4}+1260 A a \,b^{5} d \,e^{6} x^{4}-360 A \,b^{6} d^{2} e^{5} x^{4}-2100 B \,a^{3} b^{3} e^{7} x^{4}+3150 B \,a^{2} b^{4} d \,e^{6} x^{4}-2160 B a \,b^{5} d^{2} e^{5} x^{4}+560 B \,b^{6} d^{3} e^{4} x^{4}-6300 A \,a^{3} b^{3} e^{7} x^{3}+12600 A \,a^{2} b^{4} d \,e^{6} x^{3}-10080 A a \,b^{5} d^{2} e^{5} x^{3}+2880 A \,b^{6} d^{3} e^{4} x^{3}-4725 B \,a^{4} b^{2} e^{7} x^{3}+16800 B \,a^{3} b^{3} d \,e^{6} x^{3}-25200 B \,a^{2} b^{4} d^{2} e^{5} x^{3}+17280 B a \,b^{5} d^{3} e^{4} x^{3}-4480 B \,b^{6} d^{4} e^{3} x^{3}+4725 A \,a^{4} b^{2} e^{7} x^{2}-37800 A \,a^{3} b^{3} d \,e^{6} x^{2}+75600 A \,a^{2} b^{4} d^{2} e^{5} x^{2}-60480 A a \,b^{5} d^{3} e^{4} x^{2}+17280 A \,b^{6} d^{4} e^{3} x^{2}+1890 B \,a^{5} b \,e^{7} x^{2}-28350 B \,a^{4} b^{2} d \,e^{6} x^{2}+100800 B \,a^{3} b^{3} d^{2} e^{5} x^{2}-151200 B \,a^{2} b^{4} d^{3} e^{4} x^{2}+103680 B a \,b^{5} d^{4} e^{3} x^{2}-26880 B \,b^{6} d^{5} e^{2} x^{2}+630 A \,a^{5} b \,e^{7} x +6300 A \,a^{4} b^{2} d \,e^{6} x -50400 A \,a^{3} b^{3} d^{2} e^{5} x +100800 A \,a^{2} b^{4} d^{3} e^{4} x -80640 A a \,b^{5} d^{4} e^{3} x +23040 A \,b^{6} d^{5} e^{2} x +105 B \,a^{6} e^{7} x +2520 B \,a^{5} b d \,e^{6} x -37800 B \,a^{4} b^{2} d^{2} e^{5} x +134400 B \,a^{3} b^{3} d^{3} e^{4} x -201600 B \,a^{2} b^{4} d^{4} e^{3} x +138240 B a \,b^{5} d^{5} e^{2} x -35840 B \,b^{6} d^{6} e x +63 A \,a^{6} e^{7}+252 A \,a^{5} b d \,e^{6}+2520 A \,a^{4} b^{2} d^{2} e^{5}-20160 A \,a^{3} b^{3} d^{3} e^{4}+40320 A \,a^{2} b^{4} d^{4} e^{3}-32256 A a \,b^{5} d^{5} e^{2}+9216 A \,b^{6} d^{6} e +42 B \,a^{6} d \,e^{6}+1008 B \,a^{5} b \,d^{2} e^{5}-15120 B \,a^{4} b^{2} d^{3} e^{4}+53760 B \,a^{3} b^{3} d^{4} e^{3}-80640 B \,a^{2} b^{4} d^{5} e^{2}+55296 B a \,b^{5} d^{6} e -14336 B \,b^{6} d^{7}\right)}{315 \left(e x +d \right)^{\frac{5}{2}} e^{8}}"," ",0,"-2/315*(-35*B*b^6*e^7*x^7-45*A*b^6*e^7*x^6-270*B*a*b^5*e^7*x^6+70*B*b^6*d*e^6*x^6-378*A*a*b^5*e^7*x^5+108*A*b^6*d*e^6*x^5-945*B*a^2*b^4*e^7*x^5+648*B*a*b^5*d*e^6*x^5-168*B*b^6*d^2*e^5*x^5-1575*A*a^2*b^4*e^7*x^4+1260*A*a*b^5*d*e^6*x^4-360*A*b^6*d^2*e^5*x^4-2100*B*a^3*b^3*e^7*x^4+3150*B*a^2*b^4*d*e^6*x^4-2160*B*a*b^5*d^2*e^5*x^4+560*B*b^6*d^3*e^4*x^4-6300*A*a^3*b^3*e^7*x^3+12600*A*a^2*b^4*d*e^6*x^3-10080*A*a*b^5*d^2*e^5*x^3+2880*A*b^6*d^3*e^4*x^3-4725*B*a^4*b^2*e^7*x^3+16800*B*a^3*b^3*d*e^6*x^3-25200*B*a^2*b^4*d^2*e^5*x^3+17280*B*a*b^5*d^3*e^4*x^3-4480*B*b^6*d^4*e^3*x^3+4725*A*a^4*b^2*e^7*x^2-37800*A*a^3*b^3*d*e^6*x^2+75600*A*a^2*b^4*d^2*e^5*x^2-60480*A*a*b^5*d^3*e^4*x^2+17280*A*b^6*d^4*e^3*x^2+1890*B*a^5*b*e^7*x^2-28350*B*a^4*b^2*d*e^6*x^2+100800*B*a^3*b^3*d^2*e^5*x^2-151200*B*a^2*b^4*d^3*e^4*x^2+103680*B*a*b^5*d^4*e^3*x^2-26880*B*b^6*d^5*e^2*x^2+630*A*a^5*b*e^7*x+6300*A*a^4*b^2*d*e^6*x-50400*A*a^3*b^3*d^2*e^5*x+100800*A*a^2*b^4*d^3*e^4*x-80640*A*a*b^5*d^4*e^3*x+23040*A*b^6*d^5*e^2*x+105*B*a^6*e^7*x+2520*B*a^5*b*d*e^6*x-37800*B*a^4*b^2*d^2*e^5*x+134400*B*a^3*b^3*d^3*e^4*x-201600*B*a^2*b^4*d^4*e^3*x+138240*B*a*b^5*d^5*e^2*x-35840*B*b^6*d^6*e*x+63*A*a^6*e^7+252*A*a^5*b*d*e^6+2520*A*a^4*b^2*d^2*e^5-20160*A*a^3*b^3*d^3*e^4+40320*A*a^2*b^4*d^4*e^3-32256*A*a*b^5*d^5*e^2+9216*A*b^6*d^6*e+42*B*a^6*d*e^6+1008*B*a^5*b*d^2*e^5-15120*B*a^4*b^2*d^3*e^4+53760*B*a^3*b^3*d^4*e^3-80640*B*a^2*b^4*d^5*e^2+55296*B*a*b^5*d^6*e-14336*B*b^6*d^7)/(e*x+d)^(5/2)/e^8","B"
1808,1,915,230,0.078000," ","int((B*x+A)*(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2),x)","-\frac{7 A \,a^{3} e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b^{4}}+\frac{21 A \,a^{2} d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b^{3}}-\frac{21 A a \,d^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b^{2}}+\frac{7 A \,d^{3} e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b}+\frac{9 B \,a^{4} e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b^{5}}-\frac{29 B \,a^{3} d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b^{4}}+\frac{33 B \,a^{2} d^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b^{3}}-\frac{15 B a \,d^{3} e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b^{2}}+\frac{2 B \,d^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b}+\frac{\sqrt{e x +d}\, A \,a^{3} e^{4}}{\left(b e x +a e \right) b^{4}}-\frac{3 \sqrt{e x +d}\, A \,a^{2} d \,e^{3}}{\left(b e x +a e \right) b^{3}}+\frac{3 \sqrt{e x +d}\, A a \,d^{2} e^{2}}{\left(b e x +a e \right) b^{2}}-\frac{\sqrt{e x +d}\, A \,d^{3} e}{\left(b e x +a e \right) b}-\frac{\sqrt{e x +d}\, B \,a^{4} e^{4}}{\left(b e x +a e \right) b^{5}}+\frac{3 \sqrt{e x +d}\, B \,a^{3} d \,e^{3}}{\left(b e x +a e \right) b^{4}}-\frac{3 \sqrt{e x +d}\, B \,a^{2} d^{2} e^{2}}{\left(b e x +a e \right) b^{3}}+\frac{\sqrt{e x +d}\, B a \,d^{3} e}{\left(b e x +a e \right) b^{2}}+\frac{6 \sqrt{e x +d}\, A \,a^{2} e^{3}}{b^{4}}-\frac{12 \sqrt{e x +d}\, A a d \,e^{2}}{b^{3}}+\frac{6 \sqrt{e x +d}\, A \,d^{2} e}{b^{2}}-\frac{8 \sqrt{e x +d}\, B \,a^{3} e^{3}}{b^{5}}+\frac{18 \sqrt{e x +d}\, B \,a^{2} d \,e^{2}}{b^{4}}-\frac{12 \sqrt{e x +d}\, B a \,d^{2} e}{b^{3}}+\frac{2 \sqrt{e x +d}\, B \,d^{3}}{b^{2}}-\frac{4 \left(e x +d \right)^{\frac{3}{2}} A a \,e^{2}}{3 b^{3}}+\frac{4 \left(e x +d \right)^{\frac{3}{2}} A d e}{3 b^{2}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} e^{2}}{b^{4}}-\frac{8 \left(e x +d \right)^{\frac{3}{2}} B a d e}{3 b^{3}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} B \,d^{2}}{3 b^{2}}+\frac{2 \left(e x +d \right)^{\frac{5}{2}} A e}{5 b^{2}}-\frac{4 \left(e x +d \right)^{\frac{5}{2}} B a e}{5 b^{3}}+\frac{2 \left(e x +d \right)^{\frac{5}{2}} B d}{5 b^{2}}+\frac{2 \left(e x +d \right)^{\frac{7}{2}} B}{7 b^{2}}"," ",0,"6/b^4*A*a^2*e^3*(e*x+d)^(1/2)+2/5/b^2*A*(e*x+d)^(5/2)*e-8/3/b^3*B*(e*x+d)^(3/2)*a*d*e-12/b^3*A*a*d*e^2*(e*x+d)^(1/2)+18/b^4*B*a^2*d*e^2*(e*x+d)^(1/2)-12/b^3*B*a*d^2*e*(e*x+d)^(1/2)-1/b*(e*x+d)^(1/2)/(b*e*x+a*e)*A*d^3*e-1/b^5*(e*x+d)^(1/2)/(b*e*x+a*e)*B*a^4*e^4-7/b^4/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*a^3*e^4+2/7/b^2*B*(e*x+d)^(7/2)+2/5/b^2*B*(e*x+d)^(5/2)*d+2/3/b^2*B*(e*x+d)^(3/2)*d^2+2/b^2*B*d^3*(e*x+d)^(1/2)+2/b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*d^4+6/b^2*A*d^2*e*(e*x+d)^(1/2)-8/b^5*B*a^3*e^3*(e*x+d)^(1/2)-4/5/b^3*B*(e*x+d)^(5/2)*a*e-4/3/b^3*A*(e*x+d)^(3/2)*a*e^2+4/3/b^2*A*(e*x+d)^(3/2)*d*e+2/b^4*B*(e*x+d)^(3/2)*a^2*e^2+7/b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*d^3*e+9/b^5/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*a^4*e^4+1/b^4*(e*x+d)^(1/2)/(b*e*x+a*e)*A*a^3*e^4-15/b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*a*d^3*e-3/b^3*(e*x+d)^(1/2)/(b*e*x+a*e)*A*a^2*d*e^3+3/b^2*(e*x+d)^(1/2)/(b*e*x+a*e)*A*d^2*a*e^2+3/b^4*(e*x+d)^(1/2)/(b*e*x+a*e)*B*d*a^3*e^3-3/b^3*(e*x+d)^(1/2)/(b*e*x+a*e)*B*a^2*d^2*e^2+1/b^2*(e*x+d)^(1/2)/(b*e*x+a*e)*B*a*d^3*e+21/b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*a^2*d*e^3-21/b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*d^2*a*e^2-29/b^4/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*d*a^3*e^3+33/b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*a^2*d^2*e^2","B"
1809,1,626,192,0.069000," ","int((B*x+A)*(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2),x)","\frac{5 A \,a^{2} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b^{3}}-\frac{10 A a d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b^{2}}+\frac{5 A \,d^{2} e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b}-\frac{7 B \,a^{3} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b^{4}}+\frac{16 B \,a^{2} d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b^{3}}-\frac{11 B a \,d^{2} e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b^{2}}+\frac{2 B \,d^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b}-\frac{\sqrt{e x +d}\, A \,a^{2} e^{3}}{\left(b e x +a e \right) b^{3}}+\frac{2 \sqrt{e x +d}\, A a d \,e^{2}}{\left(b e x +a e \right) b^{2}}-\frac{\sqrt{e x +d}\, A \,d^{2} e}{\left(b e x +a e \right) b}+\frac{\sqrt{e x +d}\, B \,a^{3} e^{3}}{\left(b e x +a e \right) b^{4}}-\frac{2 \sqrt{e x +d}\, B \,a^{2} d \,e^{2}}{\left(b e x +a e \right) b^{3}}+\frac{\sqrt{e x +d}\, B a \,d^{2} e}{\left(b e x +a e \right) b^{2}}-\frac{4 \sqrt{e x +d}\, A a \,e^{2}}{b^{3}}+\frac{4 \sqrt{e x +d}\, A d e}{b^{2}}+\frac{6 \sqrt{e x +d}\, B \,a^{2} e^{2}}{b^{4}}-\frac{8 \sqrt{e x +d}\, B a d e}{b^{3}}+\frac{2 \sqrt{e x +d}\, B \,d^{2}}{b^{2}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} A e}{3 b^{2}}-\frac{4 \left(e x +d \right)^{\frac{3}{2}} B a e}{3 b^{3}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} B d}{3 b^{2}}+\frac{2 \left(e x +d \right)^{\frac{5}{2}} B}{5 b^{2}}"," ",0,"2/5/b^2*B*(e*x+d)^(5/2)+2/3/b^2*A*(e*x+d)^(3/2)*e-4/3/b^3*B*(e*x+d)^(3/2)*a*e+2/3/b^2*B*(e*x+d)^(3/2)*d-4/b^3*A*(e*x+d)^(1/2)*a*e^2+4/b^2*A*(e*x+d)^(1/2)*d*e+6/b^4*B*(e*x+d)^(1/2)*a^2*e^2-8/b^3*B*(e*x+d)^(1/2)*a*d*e+2/b^2*B*(e*x+d)^(1/2)*d^2-1/b^3*(e*x+d)^(1/2)/(b*e*x+a*e)*A*a^2*e^3+2/b^2*(e*x+d)^(1/2)/(b*e*x+a*e)*A*a*d*e^2-1/b*(e*x+d)^(1/2)/(b*e*x+a*e)*A*d^2*e+1/b^4*(e*x+d)^(1/2)/(b*e*x+a*e)*B*a^3*e^3-2/b^3*(e*x+d)^(1/2)/(b*e*x+a*e)*B*a^2*d*e^2+1/b^2*(e*x+d)^(1/2)/(b*e*x+a*e)*B*a*d^2*e+5/b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*a^2*e^3-10/b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*a*d*e^2+5/b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*d^2*e-7/b^4/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*a^3*e^3+16/b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*a^2*d*e^2-11/b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*a*d^2*e+2/b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*d^3","B"
1810,1,381,156,0.071000," ","int((B*x+A)*(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2),x)","-\frac{3 A a \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b^{2}}+\frac{3 A d e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b}+\frac{5 B \,a^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b^{3}}-\frac{7 B a d e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b^{2}}+\frac{2 B \,d^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b}+\frac{\sqrt{e x +d}\, A a \,e^{2}}{\left(b e x +a e \right) b^{2}}-\frac{\sqrt{e x +d}\, A d e}{\left(b e x +a e \right) b}-\frac{\sqrt{e x +d}\, B \,a^{2} e^{2}}{\left(b e x +a e \right) b^{3}}+\frac{\sqrt{e x +d}\, B a d e}{\left(b e x +a e \right) b^{2}}+\frac{2 \sqrt{e x +d}\, A e}{b^{2}}-\frac{4 \sqrt{e x +d}\, B a e}{b^{3}}+\frac{2 \sqrt{e x +d}\, B d}{b^{2}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} B}{3 b^{2}}"," ",0,"2/3/b^2*B*(e*x+d)^(3/2)+2/b^2*A*e*(e*x+d)^(1/2)-4/b^3*a*B*e*(e*x+d)^(1/2)+2/b^2*B*d*(e*x+d)^(1/2)+1/b^2*(e*x+d)^(1/2)/(b*e*x+a*e)*A*a*e^2-1/b*(e*x+d)^(1/2)/(b*e*x+a*e)*A*d*e-1/b^3*(e*x+d)^(1/2)/(b*e*x+a*e)*B*a^2*e^2+1/b^2*(e*x+d)^(1/2)/(b*e*x+a*e)*B*a*d*e-3/b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*a*e^2+3/b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*d*e+5/b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*a^2*e^2-7/b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*a*d*e+2/b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*d^2","B"
1811,1,186,126,0.070000," ","int((B*x+A)*(e*x+d)^(1/2)/(b^2*x^2+2*a*b*x+a^2),x)","\frac{A e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b}-\frac{3 B a e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b^{2}}+\frac{2 B d \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b}-\frac{\sqrt{e x +d}\, A e}{\left(b e x +a e \right) b}+\frac{\sqrt{e x +d}\, B a e}{\left(b e x +a e \right) b^{2}}+\frac{2 \sqrt{e x +d}\, B}{b^{2}}"," ",0,"2*B/b^2*(e*x+d)^(1/2)-1/b*(e*x+d)^(1/2)/(b*e*x+a*e)*A*e+1/b^2*(e*x+d)^(1/2)/(b*e*x+a*e)*a*B*e+1/b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*e-3/b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*B*e+2/b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*d","A"
1812,1,195,91,0.063000," ","int((B*x+A)/(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(1/2),x)","\frac{A e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\left(a e -b d \right) \sqrt{\left(a e -b d \right) b}}+\frac{B a e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\left(a e -b d \right) \sqrt{\left(a e -b d \right) b}\, b}-\frac{2 B d \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\left(a e -b d \right) \sqrt{\left(a e -b d \right) b}}+\frac{\left(A b -B a \right) \sqrt{e x +d}\, e}{\left(a e -b d \right) \left(a e -b d +\left(e x +d \right) b \right) b}"," ",0,"(A*b-B*a)*e/(a*e-b*d)/b*(e*x+d)^(1/2)/((e*x+d)*b+a*e-b*d)+1/(a*e-b*d)/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*e+1/(a*e-b*d)/b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*B*e-2/(a*e-b*d)/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*d","B"
1813,1,253,125,0.069000," ","int((B*x+A)/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2),x)","-\frac{3 A b e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\left(a e -b d \right)^{2} \sqrt{\left(a e -b d \right) b}}+\frac{B a e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\left(a e -b d \right)^{2} \sqrt{\left(a e -b d \right) b}}+\frac{2 B b d \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\left(a e -b d \right)^{2} \sqrt{\left(a e -b d \right) b}}-\frac{\sqrt{e x +d}\, A b e}{\left(a e -b d \right)^{2} \left(b e x +a e \right)}+\frac{\sqrt{e x +d}\, B a e}{\left(a e -b d \right)^{2} \left(b e x +a e \right)}-\frac{2 A e}{\left(a e -b d \right)^{2} \sqrt{e x +d}}+\frac{2 B d}{\left(a e -b d \right)^{2} \sqrt{e x +d}}"," ",0,"-1/(a*e-b*d)^2*(e*x+d)^(1/2)/(b*e*x+a*e)*A*b*e+1/(a*e-b*d)^2*(e*x+d)^(1/2)/(b*e*x+a*e)*a*B*e-3/(a*e-b*d)^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*b*e+1/(a*e-b*d)^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*B*e+2/(a*e-b*d)^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*b*d-2/(a*e-b*d)^2/(e*x+d)^(1/2)*A*e+2/(a*e-b*d)^2/(e*x+d)^(1/2)*B*d","B"
1814,1,328,162,0.070000," ","int((B*x+A)/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2),x)","\frac{5 A \,b^{2} e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\left(a e -b d \right)^{3} \sqrt{\left(a e -b d \right) b}}-\frac{3 B a b e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\left(a e -b d \right)^{3} \sqrt{\left(a e -b d \right) b}}-\frac{2 B \,b^{2} d \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\left(a e -b d \right)^{3} \sqrt{\left(a e -b d \right) b}}+\frac{\sqrt{e x +d}\, A \,b^{2} e}{\left(a e -b d \right)^{3} \left(b e x +a e \right)}-\frac{\sqrt{e x +d}\, B a b e}{\left(a e -b d \right)^{3} \left(b e x +a e \right)}+\frac{4 A b e}{\left(a e -b d \right)^{3} \sqrt{e x +d}}-\frac{2 B a e}{\left(a e -b d \right)^{3} \sqrt{e x +d}}-\frac{2 B b d}{\left(a e -b d \right)^{3} \sqrt{e x +d}}-\frac{2 A e}{3 \left(a e -b d \right)^{2} \left(e x +d \right)^{\frac{3}{2}}}+\frac{2 B d}{3 \left(a e -b d \right)^{2} \left(e x +d \right)^{\frac{3}{2}}}"," ",0,"1/(a*e-b*d)^3*b^2*(e*x+d)^(1/2)/(b*e*x+a*e)*A*e-1/(a*e-b*d)^3*b*(e*x+d)^(1/2)/(b*e*x+a*e)*a*B*e+5/(a*e-b*d)^3*b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*e-3/(a*e-b*d)^3*b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*B*e-2/(a*e-b*d)^3*b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*d-2/3/(a*e-b*d)^2/(e*x+d)^(3/2)*A*e+2/3/(a*e-b*d)^2/(e*x+d)^(3/2)*B*d+4/(a*e-b*d)^3/(e*x+d)^(1/2)*A*b*e-2/(a*e-b*d)^3/(e*x+d)^(1/2)*a*B*e-2/(a*e-b*d)^3/(e*x+d)^(1/2)*B*b*d","B"
1815,1,403,198,0.073000," ","int((B*x+A)/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2),x)","-\frac{7 A \,b^{3} e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\left(a e -b d \right)^{4} \sqrt{\left(a e -b d \right) b}}+\frac{5 B a \,b^{2} e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\left(a e -b d \right)^{4} \sqrt{\left(a e -b d \right) b}}+\frac{2 B \,b^{3} d \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\left(a e -b d \right)^{4} \sqrt{\left(a e -b d \right) b}}-\frac{\sqrt{e x +d}\, A \,b^{3} e}{\left(a e -b d \right)^{4} \left(b e x +a e \right)}+\frac{\sqrt{e x +d}\, B a \,b^{2} e}{\left(a e -b d \right)^{4} \left(b e x +a e \right)}-\frac{6 A \,b^{2} e}{\left(a e -b d \right)^{4} \sqrt{e x +d}}+\frac{4 B a b e}{\left(a e -b d \right)^{4} \sqrt{e x +d}}+\frac{2 B \,b^{2} d}{\left(a e -b d \right)^{4} \sqrt{e x +d}}+\frac{4 A b e}{3 \left(a e -b d \right)^{3} \left(e x +d \right)^{\frac{3}{2}}}-\frac{2 B a e}{3 \left(a e -b d \right)^{3} \left(e x +d \right)^{\frac{3}{2}}}-\frac{2 B b d}{3 \left(a e -b d \right)^{3} \left(e x +d \right)^{\frac{3}{2}}}-\frac{2 A e}{5 \left(a e -b d \right)^{2} \left(e x +d \right)^{\frac{5}{2}}}+\frac{2 B d}{5 \left(a e -b d \right)^{2} \left(e x +d \right)^{\frac{5}{2}}}"," ",0,"-1/(a*e-b*d)^4*b^3*(e*x+d)^(1/2)/(b*e*x+a*e)*A*e+1/(a*e-b*d)^4*b^2*(e*x+d)^(1/2)/(b*e*x+a*e)*a*B*e-7/(a*e-b*d)^4*b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*e+5/(a*e-b*d)^4*b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*B*e+2/(a*e-b*d)^4*b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*d-2/5/(a*e-b*d)^2/(e*x+d)^(5/2)*A*e+2/5/(a*e-b*d)^2/(e*x+d)^(5/2)*B*d+4/3/(a*e-b*d)^3/(e*x+d)^(3/2)*A*b*e-2/3/(a*e-b*d)^3/(e*x+d)^(3/2)*a*B*e-2/3/(a*e-b*d)^3/(e*x+d)^(3/2)*B*b*d-6*b^2/(a*e-b*d)^4/(e*x+d)^(1/2)*A*e+4*b/(a*e-b*d)^4/(e*x+d)^(1/2)*a*B*e+2*b^2/(a*e-b*d)^4/(e*x+d)^(1/2)*B*d","B"
1816,1,1285,296,0.086000," ","int((B*x+A)*(e*x+d)^(9/2)/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{41 \sqrt{e x +d}\, A \,a^{4} e^{7}}{8 \left(b e x +a e \right)^{3} b^{5}}+\frac{41 \sqrt{e x +d}\, A \,a^{3} d \,e^{6}}{2 \left(b e x +a e \right)^{3} b^{4}}-\frac{123 \sqrt{e x +d}\, A \,a^{2} d^{2} e^{5}}{4 \left(b e x +a e \right)^{3} b^{3}}+\frac{41 \sqrt{e x +d}\, A a \,d^{3} e^{4}}{2 \left(b e x +a e \right)^{3} b^{2}}-\frac{41 \sqrt{e x +d}\, A \,d^{4} e^{3}}{8 \left(b e x +a e \right)^{3} b}+\frac{71 \sqrt{e x +d}\, B \,a^{5} e^{7}}{8 \left(b e x +a e \right)^{3} b^{6}}-\frac{157 \sqrt{e x +d}\, B \,a^{4} d \,e^{6}}{4 \left(b e x +a e \right)^{3} b^{5}}+\frac{273 \sqrt{e x +d}\, B \,a^{3} d^{2} e^{5}}{4 \left(b e x +a e \right)^{3} b^{4}}-\frac{58 \sqrt{e x +d}\, B \,a^{2} d^{3} e^{4}}{\left(b e x +a e \right)^{3} b^{3}}+\frac{191 \sqrt{e x +d}\, B a \,d^{4} e^{3}}{8 \left(b e x +a e \right)^{3} b^{2}}-\frac{15 \sqrt{e x +d}\, B \,d^{5} e^{2}}{4 \left(b e x +a e \right)^{3} b}-\frac{35 \left(e x +d \right)^{\frac{3}{2}} A \,a^{3} e^{6}}{3 \left(b e x +a e \right)^{3} b^{4}}+\frac{35 \left(e x +d \right)^{\frac{3}{2}} A \,a^{2} d \,e^{5}}{\left(b e x +a e \right)^{3} b^{3}}-\frac{35 \left(e x +d \right)^{\frac{3}{2}} A a \,d^{2} e^{4}}{\left(b e x +a e \right)^{3} b^{2}}+\frac{35 \left(e x +d \right)^{\frac{3}{2}} A \,d^{3} e^{3}}{3 \left(b e x +a e \right)^{3} b}+\frac{59 \left(e x +d \right)^{\frac{3}{2}} B \,a^{4} e^{6}}{3 \left(b e x +a e \right)^{3} b^{5}}-\frac{67 \left(e x +d \right)^{\frac{3}{2}} B \,a^{3} d \,e^{5}}{\left(b e x +a e \right)^{3} b^{4}}+\frac{83 \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} d^{2} e^{4}}{\left(b e x +a e \right)^{3} b^{3}}-\frac{131 \left(e x +d \right)^{\frac{3}{2}} B a \,d^{3} e^{3}}{3 \left(b e x +a e \right)^{3} b^{2}}+\frac{8 \left(e x +d \right)^{\frac{3}{2}} B \,d^{4} e^{2}}{\left(b e x +a e \right)^{3} b}-\frac{55 \left(e x +d \right)^{\frac{5}{2}} A \,a^{2} e^{5}}{8 \left(b e x +a e \right)^{3} b^{3}}+\frac{55 \left(e x +d \right)^{\frac{5}{2}} A a d \,e^{4}}{4 \left(b e x +a e \right)^{3} b^{2}}-\frac{55 \left(e x +d \right)^{\frac{5}{2}} A \,d^{2} e^{3}}{8 \left(b e x +a e \right)^{3} b}+\frac{89 \left(e x +d \right)^{\frac{5}{2}} B \,a^{3} e^{5}}{8 \left(b e x +a e \right)^{3} b^{4}}-\frac{53 \left(e x +d \right)^{\frac{5}{2}} B \,a^{2} d \,e^{4}}{2 \left(b e x +a e \right)^{3} b^{3}}+\frac{157 \left(e x +d \right)^{\frac{5}{2}} B a \,d^{2} e^{3}}{8 \left(b e x +a e \right)^{3} b^{2}}-\frac{17 \left(e x +d \right)^{\frac{5}{2}} B \,d^{3} e^{2}}{4 \left(b e x +a e \right)^{3} b}+\frac{105 A \,a^{2} e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{8 \sqrt{\left(a e -b d \right) b}\, b^{5}}-\frac{105 A a d \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{4 \sqrt{\left(a e -b d \right) b}\, b^{4}}+\frac{105 A \,d^{2} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{8 \sqrt{\left(a e -b d \right) b}\, b^{3}}-\frac{231 B \,a^{3} e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{8 \sqrt{\left(a e -b d \right) b}\, b^{6}}+\frac{147 B \,a^{2} d \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{2 \sqrt{\left(a e -b d \right) b}\, b^{5}}-\frac{483 B a \,d^{2} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{8 \sqrt{\left(a e -b d \right) b}\, b^{4}}+\frac{63 B \,d^{3} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{4 \sqrt{\left(a e -b d \right) b}\, b^{3}}-\frac{8 \sqrt{e x +d}\, A a \,e^{4}}{b^{5}}+\frac{8 \sqrt{e x +d}\, A d \,e^{3}}{b^{4}}+\frac{20 \sqrt{e x +d}\, B \,a^{2} e^{4}}{b^{6}}-\frac{32 \sqrt{e x +d}\, B a d \,e^{3}}{b^{5}}+\frac{12 \sqrt{e x +d}\, B \,d^{2} e^{2}}{b^{4}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} A \,e^{3}}{3 b^{4}}-\frac{8 \left(e x +d \right)^{\frac{3}{2}} B a \,e^{3}}{3 b^{5}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} B d \,e^{2}}{b^{4}}+\frac{2 \left(e x +d \right)^{\frac{5}{2}} B \,e^{2}}{5 b^{4}}"," ",0,"2/5*e^2/b^4*B*(e*x+d)^(5/2)+2/3*e^3/b^4*A*(e*x+d)^(3/2)-8/3*e^3/b^5*B*(e*x+d)^(3/2)*a-8*e^4/b^5*A*(e*x+d)^(1/2)*a+8*e^3/b^4*A*(e*x+d)^(1/2)*d+20*e^4/b^6*B*(e*x+d)^(1/2)*a^2+2*e^2/b^4*B*(e*x+d)^(3/2)*d+12*e^2/b^4*B*(e*x+d)^(1/2)*d^2-157/4*e^6/b^5/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*a^4*d-483/8*e^3/b^4/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*a*d^2+273/4*e^5/b^4/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*a^3*d^2-58*e^4/b^3/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*a^2*d^3+191/8*e^3/b^2/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*a*d^4+35*e^5/b^3/(b*e*x+a*e)^3*A*(e*x+d)^(3/2)*a^2*d-123/4*e^5/b^3/(b*e*x+a*e)^3*(e*x+d)^(1/2)*A*a^2*d^2+41/2*e^4/b^2/(b*e*x+a*e)^3*(e*x+d)^(1/2)*A*a*d^3+157/8*e^3/b^2/(b*e*x+a*e)^3*(e*x+d)^(5/2)*B*a*d^2+41/2*e^6/b^4/(b*e*x+a*e)^3*(e*x+d)^(1/2)*A*a^3*d-35*e^4/b^2/(b*e*x+a*e)^3*A*(e*x+d)^(3/2)*a*d^2-105/4*e^4/b^4/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*a*d-131/3*e^3/b^2/(b*e*x+a*e)^3*B*(e*x+d)^(3/2)*a*d^3+55/4*e^4/b^2/(b*e*x+a*e)^3*(e*x+d)^(5/2)*A*a*d-53/2*e^4/b^3/(b*e*x+a*e)^3*(e*x+d)^(5/2)*B*a^2*d+147/2*e^4/b^5/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*a^2*d-67*e^5/b^4/(b*e*x+a*e)^3*B*(e*x+d)^(3/2)*a^3*d+83*e^4/b^3/(b*e*x+a*e)^3*B*(e*x+d)^(3/2)*a^2*d^2-41/8*e^7/b^5/(b*e*x+a*e)^3*(e*x+d)^(1/2)*A*a^4-41/8*e^3/b/(b*e*x+a*e)^3*(e*x+d)^(1/2)*A*d^4-35/3*e^6/b^4/(b*e*x+a*e)^3*A*(e*x+d)^(3/2)*a^3+35/3*e^3/b/(b*e*x+a*e)^3*A*(e*x+d)^(3/2)*d^3+59/3*e^6/b^5/(b*e*x+a*e)^3*B*(e*x+d)^(3/2)*a^4+105/8*e^5/b^5/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*a^2+105/8*e^3/b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*d^2-32*e^3/b^5*B*(e*x+d)^(1/2)*a*d+63/4*e^2/b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*d^3+8*e^2/b/(b*e*x+a*e)^3*B*(e*x+d)^(3/2)*d^4-17/4*e^2/b/(b*e*x+a*e)^3*(e*x+d)^(5/2)*B*d^3-15/4*e^2/b/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*d^5-231/8*e^5/b^6/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*a^3+71/8*e^7/b^6/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*a^5-55/8*e^5/b^3/(b*e*x+a*e)^3*(e*x+d)^(5/2)*A*a^2-55/8*e^3/b/(b*e*x+a*e)^3*(e*x+d)^(5/2)*A*d^2+89/8*e^5/b^4/(b*e*x+a*e)^3*(e*x+d)^(5/2)*B*a^3","B"
1817,1,905,252,0.080000," ","int((B*x+A)*(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{19 \sqrt{e x +d}\, A \,a^{3} e^{6}}{8 \left(b e x +a e \right)^{3} b^{4}}-\frac{57 \sqrt{e x +d}\, A \,a^{2} d \,e^{5}}{8 \left(b e x +a e \right)^{3} b^{3}}+\frac{57 \sqrt{e x +d}\, A a \,d^{2} e^{4}}{8 \left(b e x +a e \right)^{3} b^{2}}-\frac{19 \sqrt{e x +d}\, A \,d^{3} e^{3}}{8 \left(b e x +a e \right)^{3} b}-\frac{41 \sqrt{e x +d}\, B \,a^{4} e^{6}}{8 \left(b e x +a e \right)^{3} b^{5}}+\frac{145 \sqrt{e x +d}\, B \,a^{3} d \,e^{5}}{8 \left(b e x +a e \right)^{3} b^{4}}-\frac{189 \sqrt{e x +d}\, B \,a^{2} d^{2} e^{4}}{8 \left(b e x +a e \right)^{3} b^{3}}+\frac{107 \sqrt{e x +d}\, B a \,d^{3} e^{3}}{8 \left(b e x +a e \right)^{3} b^{2}}-\frac{11 \sqrt{e x +d}\, B \,d^{4} e^{2}}{4 \left(b e x +a e \right)^{3} b}+\frac{17 \left(e x +d \right)^{\frac{3}{2}} A \,a^{2} e^{5}}{3 \left(b e x +a e \right)^{3} b^{3}}-\frac{34 \left(e x +d \right)^{\frac{3}{2}} A a d \,e^{4}}{3 \left(b e x +a e \right)^{3} b^{2}}+\frac{17 \left(e x +d \right)^{\frac{3}{2}} A \,d^{2} e^{3}}{3 \left(b e x +a e \right)^{3} b}-\frac{35 \left(e x +d \right)^{\frac{3}{2}} B \,a^{3} e^{5}}{3 \left(b e x +a e \right)^{3} b^{4}}+\frac{88 \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} d \,e^{4}}{3 \left(b e x +a e \right)^{3} b^{3}}-\frac{71 \left(e x +d \right)^{\frac{3}{2}} B a \,d^{2} e^{3}}{3 \left(b e x +a e \right)^{3} b^{2}}+\frac{6 \left(e x +d \right)^{\frac{3}{2}} B \,d^{3} e^{2}}{\left(b e x +a e \right)^{3} b}+\frac{29 \left(e x +d \right)^{\frac{5}{2}} A a \,e^{4}}{8 \left(b e x +a e \right)^{3} b^{2}}-\frac{29 \left(e x +d \right)^{\frac{5}{2}} A d \,e^{3}}{8 \left(b e x +a e \right)^{3} b}-\frac{55 \left(e x +d \right)^{\frac{5}{2}} B \,a^{2} e^{4}}{8 \left(b e x +a e \right)^{3} b^{3}}+\frac{81 \left(e x +d \right)^{\frac{5}{2}} B a d \,e^{3}}{8 \left(b e x +a e \right)^{3} b^{2}}-\frac{13 \left(e x +d \right)^{\frac{5}{2}} B \,d^{2} e^{2}}{4 \left(b e x +a e \right)^{3} b}-\frac{35 A a \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{8 \sqrt{\left(a e -b d \right) b}\, b^{4}}+\frac{35 A d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{8 \sqrt{\left(a e -b d \right) b}\, b^{3}}+\frac{105 B \,a^{2} e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{8 \sqrt{\left(a e -b d \right) b}\, b^{5}}-\frac{175 B a d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{8 \sqrt{\left(a e -b d \right) b}\, b^{4}}+\frac{35 B \,d^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{4 \sqrt{\left(a e -b d \right) b}\, b^{3}}+\frac{2 \sqrt{e x +d}\, A \,e^{3}}{b^{4}}-\frac{8 \sqrt{e x +d}\, B a \,e^{3}}{b^{5}}+\frac{6 \sqrt{e x +d}\, B d \,e^{2}}{b^{4}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} B \,e^{2}}{3 b^{4}}"," ",0,"2/3*e^2/b^4*B*(e*x+d)^(3/2)+2*e^3/b^4*A*(e*x+d)^(1/2)-8*e^3/b^5*a*B*(e*x+d)^(1/2)+6*e^2/b^4*B*d*(e*x+d)^(1/2)-34/3*e^4/b^2/(b*e*x+a*e)^3*A*(e*x+d)^(3/2)*a*d+88/3*e^4/b^3/(b*e*x+a*e)^3*B*(e*x+d)^(3/2)*a^2*d-71/3*e^3/b^2/(b*e*x+a*e)^3*B*(e*x+d)^(3/2)*a*d^2+145/8*e^5/b^4/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*d*a^3-57/8*e^5/b^3/(b*e*x+a*e)^3*(e*x+d)^(1/2)*A*a^2*d+57/8*e^4/b^2/(b*e*x+a*e)^3*(e*x+d)^(1/2)*A*d^2*a+81/8*e^3/b^2/(b*e*x+a*e)^3*(e*x+d)^(5/2)*B*a*d-175/8*e^3/b^4/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*a*d+107/8*e^3/b^2/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*a*d^3-189/8*e^4/b^3/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*a^2*d^2-41/8*e^6/b^5/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*a^4+35/8*e^3/b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*d+105/8*e^4/b^5/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*a^2-13/4*e^2/b/(b*e*x+a*e)^3*(e*x+d)^(5/2)*B*d^2+6*e^2/b/(b*e*x+a*e)^3*B*(e*x+d)^(3/2)*d^3-11/4*e^2/b/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*d^4+35/4*e^2/b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*d^2+29/8*e^4/b^2/(b*e*x+a*e)^3*(e*x+d)^(5/2)*A*a-29/8*e^3/b/(b*e*x+a*e)^3*(e*x+d)^(5/2)*A*d-55/8*e^4/b^3/(b*e*x+a*e)^3*(e*x+d)^(5/2)*B*a^2+17/3*e^5/b^3/(b*e*x+a*e)^3*A*(e*x+d)^(3/2)*a^2-35/8*e^4/b^4/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*a+17/3*e^3/b/(b*e*x+a*e)^3*A*(e*x+d)^(3/2)*d^2-35/3*e^5/b^4/(b*e*x+a*e)^3*B*(e*x+d)^(3/2)*a^3+19/8*e^6/b^4/(b*e*x+a*e)^3*(e*x+d)^(1/2)*A*a^3-19/8*e^3/b/(b*e*x+a*e)^3*(e*x+d)^(1/2)*A*d^3","B"
1818,1,573,222,0.075000," ","int((B*x+A)*(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{5 \sqrt{e x +d}\, A \,a^{2} e^{5}}{8 \left(b e x +a e \right)^{3} b^{3}}+\frac{5 \sqrt{e x +d}\, A a d \,e^{4}}{4 \left(b e x +a e \right)^{3} b^{2}}-\frac{5 \sqrt{e x +d}\, A \,d^{2} e^{3}}{8 \left(b e x +a e \right)^{3} b}+\frac{19 \sqrt{e x +d}\, B \,a^{3} e^{5}}{8 \left(b e x +a e \right)^{3} b^{4}}-\frac{13 \sqrt{e x +d}\, B \,a^{2} d \,e^{4}}{2 \left(b e x +a e \right)^{3} b^{3}}+\frac{47 \sqrt{e x +d}\, B a \,d^{2} e^{3}}{8 \left(b e x +a e \right)^{3} b^{2}}-\frac{7 \sqrt{e x +d}\, B \,d^{3} e^{2}}{4 \left(b e x +a e \right)^{3} b}-\frac{5 \left(e x +d \right)^{\frac{3}{2}} A a \,e^{4}}{3 \left(b e x +a e \right)^{3} b^{2}}+\frac{5 \left(e x +d \right)^{\frac{3}{2}} A d \,e^{3}}{3 \left(b e x +a e \right)^{3} b}+\frac{17 \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} e^{4}}{3 \left(b e x +a e \right)^{3} b^{3}}-\frac{29 \left(e x +d \right)^{\frac{3}{2}} B a d \,e^{3}}{3 \left(b e x +a e \right)^{3} b^{2}}+\frac{4 \left(e x +d \right)^{\frac{3}{2}} B \,d^{2} e^{2}}{\left(b e x +a e \right)^{3} b}-\frac{11 \left(e x +d \right)^{\frac{5}{2}} A \,e^{3}}{8 \left(b e x +a e \right)^{3} b}+\frac{29 \left(e x +d \right)^{\frac{5}{2}} B a \,e^{3}}{8 \left(b e x +a e \right)^{3} b^{2}}-\frac{9 \left(e x +d \right)^{\frac{5}{2}} B d \,e^{2}}{4 \left(b e x +a e \right)^{3} b}+\frac{5 A \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{8 \sqrt{\left(a e -b d \right) b}\, b^{3}}-\frac{35 B a \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{8 \sqrt{\left(a e -b d \right) b}\, b^{4}}+\frac{15 B d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{4 \sqrt{\left(a e -b d \right) b}\, b^{3}}+\frac{2 \sqrt{e x +d}\, B \,e^{2}}{b^{4}}"," ",0,"2*e^2*B/b^4*(e*x+d)^(1/2)-11/8*e^3/b/(b*e*x+a*e)^3*(e*x+d)^(5/2)*A+29/8*e^3/b^2/(b*e*x+a*e)^3*(e*x+d)^(5/2)*B*a-9/4*e^2/b/(b*e*x+a*e)^3*(e*x+d)^(5/2)*B*d-5/3*e^4/b^2/(b*e*x+a*e)^3*A*(e*x+d)^(3/2)*a+5/3*e^3/b/(b*e*x+a*e)^3*A*(e*x+d)^(3/2)*d+17/3*e^4/b^3/(b*e*x+a*e)^3*B*(e*x+d)^(3/2)*a^2-29/3*e^3/b^2/(b*e*x+a*e)^3*B*(e*x+d)^(3/2)*a*d+4*e^2/b/(b*e*x+a*e)^3*B*(e*x+d)^(3/2)*d^2-5/8*e^5/b^3/(b*e*x+a*e)^3*(e*x+d)^(1/2)*A*a^2+5/4*e^4/b^2/(b*e*x+a*e)^3*(e*x+d)^(1/2)*A*a*d-5/8*e^3/b/(b*e*x+a*e)^3*(e*x+d)^(1/2)*A*d^2+19/8*e^5/b^4/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*a^3-13/2*e^4/b^3/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*a^2*d+47/8*e^3/b^2/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*a*d^2-7/4*e^2/b/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*d^3+5/8*e^3/b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A-35/8*e^3/b^4/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*B+15/4*e^2/b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*d","B"
1819,1,487,185,0.102000," ","int((B*x+A)*(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{\sqrt{e x +d}\, A a \,e^{4}}{8 \left(b e x +a e \right)^{3} b^{2}}+\frac{\sqrt{e x +d}\, A d \,e^{3}}{8 \left(b e x +a e \right)^{3} b}+\frac{\left(e x +d \right)^{\frac{5}{2}} A \,e^{3}}{8 \left(b e x +a e \right)^{3} \left(a e -b d \right)}-\frac{5 \sqrt{e x +d}\, B \,a^{2} e^{4}}{8 \left(b e x +a e \right)^{3} b^{3}}-\frac{11 \left(e x +d \right)^{\frac{5}{2}} B a \,e^{3}}{8 \left(b e x +a e \right)^{3} \left(a e -b d \right) b}+\frac{11 \sqrt{e x +d}\, B a d \,e^{3}}{8 \left(b e x +a e \right)^{3} b^{2}}-\frac{3 \sqrt{e x +d}\, B \,d^{2} e^{2}}{4 \left(b e x +a e \right)^{3} b}+\frac{5 \left(e x +d \right)^{\frac{5}{2}} B d \,e^{2}}{4 \left(b e x +a e \right)^{3} \left(a e -b d \right)}-\frac{\left(e x +d \right)^{\frac{3}{2}} A \,e^{3}}{3 \left(b e x +a e \right)^{3} b}+\frac{A \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{8 \left(a e -b d \right) \sqrt{\left(a e -b d \right) b}\, b^{2}}-\frac{5 \left(e x +d \right)^{\frac{3}{2}} B a \,e^{3}}{3 \left(b e x +a e \right)^{3} b^{2}}+\frac{5 B a \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{8 \left(a e -b d \right) \sqrt{\left(a e -b d \right) b}\, b^{3}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} B d \,e^{2}}{\left(b e x +a e \right)^{3} b}-\frac{3 B d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{4 \left(a e -b d \right) \sqrt{\left(a e -b d \right) b}\, b^{2}}"," ",0,"1/8*e^3/(b*e*x+a*e)^3/(a*e-b*d)*(e*x+d)^(5/2)*A-11/8*e^3/(b*e*x+a*e)^3/(a*e-b*d)/b*(e*x+d)^(5/2)*a*B+5/4*e^2/(b*e*x+a*e)^3/(a*e-b*d)*(e*x+d)^(5/2)*B*d-1/3*e^3/(b*e*x+a*e)^3/b*(e*x+d)^(3/2)*A-5/3*e^3/(b*e*x+a*e)^3/b^2*(e*x+d)^(3/2)*a*B+2*e^2/(b*e*x+a*e)^3/b*(e*x+d)^(3/2)*B*d-1/8*e^4/(b*e*x+a*e)^3/b^2*(e*x+d)^(1/2)*A*a+1/8*e^3/(b*e*x+a*e)^3/b*(e*x+d)^(1/2)*A*d-5/8*e^4/(b*e*x+a*e)^3/b^3*(e*x+d)^(1/2)*B*a^2+11/8*e^3/(b*e*x+a*e)^3/b^2*(e*x+d)^(1/2)*B*a*d-3/4*e^2/(b*e*x+a*e)^3/b*(e*x+d)^(1/2)*B*d^2+1/8*e^3/(a*e-b*d)/b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A+5/8*e^3/(a*e-b*d)/b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*B-3/4*e^2/(a*e-b*d)/b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*d","B"
1820,1,494,185,0.085000," ","int((B*x+A)*(e*x+d)^(1/2)/(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{\left(e x +d \right)^{\frac{5}{2}} A b \,e^{3}}{8 \left(b e x +a e \right)^{3} \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right)}+\frac{\left(e x +d \right)^{\frac{5}{2}} B a \,e^{3}}{8 \left(b e x +a e \right)^{3} \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right)}-\frac{\left(e x +d \right)^{\frac{5}{2}} B b d \,e^{2}}{4 \left(b e x +a e \right)^{3} \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right)}+\frac{A \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{8 \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right) \sqrt{\left(a e -b d \right) b}\, b}+\frac{\left(e x +d \right)^{\frac{3}{2}} A \,e^{3}}{3 \left(b e x +a e \right)^{3} \left(a e -b d \right)}-\frac{\left(e x +d \right)^{\frac{3}{2}} B a \,e^{3}}{3 \left(b e x +a e \right)^{3} \left(a e -b d \right) b}+\frac{B a \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{8 \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right) \sqrt{\left(a e -b d \right) b}\, b^{2}}-\frac{B d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{4 \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right) \sqrt{\left(a e -b d \right) b}\, b}-\frac{\sqrt{e x +d}\, A \,e^{3}}{8 \left(b e x +a e \right)^{3} b}-\frac{\sqrt{e x +d}\, B a \,e^{3}}{8 \left(b e x +a e \right)^{3} b^{2}}+\frac{\sqrt{e x +d}\, B d \,e^{2}}{4 \left(b e x +a e \right)^{3} b}"," ",0,"1/8*e^3/(b*e*x+a*e)^3/(a^2*e^2-2*a*b*d*e+b^2*d^2)*(e*x+d)^(5/2)*A*b+1/8*e^3/(b*e*x+a*e)^3/(a^2*e^2-2*a*b*d*e+b^2*d^2)*(e*x+d)^(5/2)*a*B-1/4*e^2/(b*e*x+a*e)^3/(a^2*e^2-2*a*b*d*e+b^2*d^2)*(e*x+d)^(5/2)*B*b*d+1/3*e^3/(b*e*x+a*e)^3/(a*e-b*d)*(e*x+d)^(3/2)*A-1/3*e^3/(b*e*x+a*e)^3/(a*e-b*d)/b*(e*x+d)^(3/2)*B*a-1/8*e^3/(b*e*x+a*e)^3/b*(e*x+d)^(1/2)*A-1/8*e^3/(b*e*x+a*e)^3/b^2*(e*x+d)^(1/2)*a*B+1/4*e^2/(b*e*x+a*e)^3/b*(e*x+d)^(1/2)*B*d+1/8*e^3/b/(a^2*e^2-2*a*b*d*e+b^2*d^2)/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A+1/8*e^3/b^2/(a^2*e^2-2*a*b*d*e+b^2*d^2)/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*B-1/4*e^2/b/(a^2*e^2-2*a*b*d*e+b^2*d^2)/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*d","B"
1821,1,679,185,0.076000," ","int((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(1/2),x)","\frac{5 \left(e x +d \right)^{\frac{5}{2}} A \,b^{2} e^{3}}{8 \left(b e x +a e \right)^{3} \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right)}+\frac{\left(e x +d \right)^{\frac{5}{2}} B a b \,e^{3}}{8 \left(b e x +a e \right)^{3} \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right)}-\frac{3 \left(e x +d \right)^{\frac{5}{2}} B \,b^{2} d \,e^{2}}{4 \left(b e x +a e \right)^{3} \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right)}+\frac{5 \left(e x +d \right)^{\frac{3}{2}} A b \,e^{3}}{3 \left(b e x +a e \right)^{3} \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right)}+\frac{5 A \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{8 \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right) \sqrt{\left(a e -b d \right) b}}+\frac{B a \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{8 \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right) \sqrt{\left(a e -b d \right) b}\, b}+\frac{\left(e x +d \right)^{\frac{3}{2}} B a \,e^{3}}{3 \left(b e x +a e \right)^{3} \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right)}-\frac{2 \left(e x +d \right)^{\frac{3}{2}} B b d \,e^{2}}{\left(b e x +a e \right)^{3} \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right)}-\frac{3 B d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{4 \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right) \sqrt{\left(a e -b d \right) b}}+\frac{11 \sqrt{e x +d}\, A \,e^{3}}{8 \left(b e x +a e \right)^{3} \left(a e -b d \right)}-\frac{\sqrt{e x +d}\, B a \,e^{3}}{8 \left(b e x +a e \right)^{3} \left(a e -b d \right) b}-\frac{5 \sqrt{e x +d}\, B d \,e^{2}}{4 \left(b e x +a e \right)^{3} \left(a e -b d \right)}"," ",0,"5/8*e^3/(b*e*x+a*e)^3*b^2/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)*(e*x+d)^(5/2)*A+1/8*e^3/(b*e*x+a*e)^3*b/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)*(e*x+d)^(5/2)*a*B-3/4*e^2/(b*e*x+a*e)^3*b^2/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)*(e*x+d)^(5/2)*B*d+5/3*e^3/(b*e*x+a*e)^3/(a^2*e^2-2*a*b*d*e+b^2*d^2)*(e*x+d)^(3/2)*A*b+1/3*e^3/(b*e*x+a*e)^3/(a^2*e^2-2*a*b*d*e+b^2*d^2)*(e*x+d)^(3/2)*a*B-2*e^2/(b*e*x+a*e)^3/(a^2*e^2-2*a*b*d*e+b^2*d^2)*(e*x+d)^(3/2)*B*b*d+11/8*e^3/(b*e*x+a*e)^3/(a*e-b*d)*(e*x+d)^(1/2)*A-1/8*e^3/(b*e*x+a*e)^3/b/(a*e-b*d)*(e*x+d)^(1/2)*a*B-5/4*e^2/(b*e*x+a*e)^3/(a*e-b*d)*(e*x+d)^(1/2)*B*d+5/8*e^3/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A+1/8*e^3/b/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*B-3/4*e^2/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*d","B"
1822,1,768,223,0.076000," ","int((B*x+A)/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{29 \sqrt{e x +d}\, A \,a^{2} b \,e^{5}}{8 \left(a e -b d \right)^{4} \left(b e x +a e \right)^{3}}+\frac{29 \sqrt{e x +d}\, A a \,b^{2} d \,e^{4}}{4 \left(a e -b d \right)^{4} \left(b e x +a e \right)^{3}}-\frac{29 \sqrt{e x +d}\, A \,b^{3} d^{2} e^{3}}{8 \left(a e -b d \right)^{4} \left(b e x +a e \right)^{3}}+\frac{11 \sqrt{e x +d}\, B \,a^{3} e^{5}}{8 \left(a e -b d \right)^{4} \left(b e x +a e \right)^{3}}-\frac{\sqrt{e x +d}\, B \,a^{2} b d \,e^{4}}{2 \left(a e -b d \right)^{4} \left(b e x +a e \right)^{3}}-\frac{25 \sqrt{e x +d}\, B a \,b^{2} d^{2} e^{3}}{8 \left(a e -b d \right)^{4} \left(b e x +a e \right)^{3}}+\frac{9 \sqrt{e x +d}\, B \,b^{3} d^{3} e^{2}}{4 \left(a e -b d \right)^{4} \left(b e x +a e \right)^{3}}-\frac{17 \left(e x +d \right)^{\frac{3}{2}} A a \,b^{2} e^{4}}{3 \left(a e -b d \right)^{4} \left(b e x +a e \right)^{3}}+\frac{17 \left(e x +d \right)^{\frac{3}{2}} A \,b^{3} d \,e^{3}}{3 \left(a e -b d \right)^{4} \left(b e x +a e \right)^{3}}+\frac{5 \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} b \,e^{4}}{3 \left(a e -b d \right)^{4} \left(b e x +a e \right)^{3}}+\frac{7 \left(e x +d \right)^{\frac{3}{2}} B a \,b^{2} d \,e^{3}}{3 \left(a e -b d \right)^{4} \left(b e x +a e \right)^{3}}-\frac{4 \left(e x +d \right)^{\frac{3}{2}} B \,b^{3} d^{2} e^{2}}{\left(a e -b d \right)^{4} \left(b e x +a e \right)^{3}}-\frac{19 \left(e x +d \right)^{\frac{5}{2}} A \,b^{3} e^{3}}{8 \left(a e -b d \right)^{4} \left(b e x +a e \right)^{3}}+\frac{5 \left(e x +d \right)^{\frac{5}{2}} B a \,b^{2} e^{3}}{8 \left(a e -b d \right)^{4} \left(b e x +a e \right)^{3}}+\frac{7 \left(e x +d \right)^{\frac{5}{2}} B \,b^{3} d \,e^{2}}{4 \left(a e -b d \right)^{4} \left(b e x +a e \right)^{3}}-\frac{35 A b \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{8 \left(a e -b d \right)^{4} \sqrt{\left(a e -b d \right) b}}+\frac{5 B a \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{8 \left(a e -b d \right)^{4} \sqrt{\left(a e -b d \right) b}}+\frac{15 B b d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{4 \left(a e -b d \right)^{4} \sqrt{\left(a e -b d \right) b}}-\frac{2 A \,e^{3}}{\left(a e -b d \right)^{4} \sqrt{e x +d}}+\frac{2 B d \,e^{2}}{\left(a e -b d \right)^{4} \sqrt{e x +d}}"," ",0,"-19/8*e^3/(a*e-b*d)^4/(b*e*x+a*e)^3*(e*x+d)^(5/2)*A*b^3+7/4*e^2/(a*e-b*d)^4/(b*e*x+a*e)^3*(e*x+d)^(5/2)*B*b^3*d+5/8*e^3/(a*e-b*d)^4/(b*e*x+a*e)^3*(e*x+d)^(5/2)*B*a*b^2-17/3*e^4/(a*e-b*d)^4/(b*e*x+a*e)^3*A*(e*x+d)^(3/2)*a*b^2+17/3*e^3/(a*e-b*d)^4/(b*e*x+a*e)^3*A*(e*x+d)^(3/2)*b^3*d+5/3*e^4/(a*e-b*d)^4/(b*e*x+a*e)^3*B*(e*x+d)^(3/2)*a^2*b+7/3*e^3/(a*e-b*d)^4/(b*e*x+a*e)^3*B*(e*x+d)^(3/2)*a*b^2*d-4*e^2/(a*e-b*d)^4/(b*e*x+a*e)^3*B*(e*x+d)^(3/2)*b^3*d^2-29/8*e^5/(a*e-b*d)^4/(b*e*x+a*e)^3*(e*x+d)^(1/2)*A*a^2*b+29/4*e^4/(a*e-b*d)^4/(b*e*x+a*e)^3*(e*x+d)^(1/2)*A*a*b^2*d-29/8*e^3/(a*e-b*d)^4/(b*e*x+a*e)^3*(e*x+d)^(1/2)*A*b^3*d^2+11/8*e^5/(a*e-b*d)^4/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*a^3-1/2*e^4/(a*e-b*d)^4/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*a^2*b*d-25/8*e^3/(a*e-b*d)^4/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*a*b^2*d^2+9/4*e^2/(a*e-b*d)^4/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*b^3*d^3-35/8*e^3/(a*e-b*d)^4/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*b+5/8*e^3/(a*e-b*d)^4/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*B+15/4*e^2/(a*e-b*d)^4/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*b*d-2*e^3/(a*e-b*d)^4/(e*x+d)^(1/2)*A+2*e^2/(a*e-b*d)^4/(e*x+d)^(1/2)*B*d","B"
1823,1,853,260,0.081000," ","int((B*x+A)/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{55 \sqrt{e x +d}\, A \,a^{2} b^{2} e^{5}}{8 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{3}}-\frac{55 \sqrt{e x +d}\, A a \,b^{3} d \,e^{4}}{4 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{3}}+\frac{55 \sqrt{e x +d}\, A \,b^{4} d^{2} e^{3}}{8 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{3}}-\frac{29 \sqrt{e x +d}\, B \,a^{3} b \,e^{5}}{8 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{3}}+\frac{4 \sqrt{e x +d}\, B \,a^{2} b^{2} d \,e^{4}}{\left(a e -b d \right)^{5} \left(b e x +a e \right)^{3}}+\frac{23 \sqrt{e x +d}\, B a \,b^{3} d^{2} e^{3}}{8 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{3}}-\frac{13 \sqrt{e x +d}\, B \,b^{4} d^{3} e^{2}}{4 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{3}}+\frac{35 \left(e x +d \right)^{\frac{3}{2}} A a \,b^{3} e^{4}}{3 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{3}}-\frac{35 \left(e x +d \right)^{\frac{3}{2}} A \,b^{4} d \,e^{3}}{3 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{3}}-\frac{17 \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} b^{2} e^{4}}{3 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{3}}-\frac{\left(e x +d \right)^{\frac{3}{2}} B a \,b^{3} d \,e^{3}}{3 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{3}}+\frac{6 \left(e x +d \right)^{\frac{3}{2}} B \,b^{4} d^{2} e^{2}}{\left(a e -b d \right)^{5} \left(b e x +a e \right)^{3}}+\frac{41 \left(e x +d \right)^{\frac{5}{2}} A \,b^{4} e^{3}}{8 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{3}}-\frac{19 \left(e x +d \right)^{\frac{5}{2}} B a \,b^{3} e^{3}}{8 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{3}}-\frac{11 \left(e x +d \right)^{\frac{5}{2}} B \,b^{4} d \,e^{2}}{4 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{3}}+\frac{105 A \,b^{2} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{8 \left(a e -b d \right)^{5} \sqrt{\left(a e -b d \right) b}}-\frac{35 B a b \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{8 \left(a e -b d \right)^{5} \sqrt{\left(a e -b d \right) b}}-\frac{35 B \,b^{2} d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{4 \left(a e -b d \right)^{5} \sqrt{\left(a e -b d \right) b}}+\frac{8 A b \,e^{3}}{\left(a e -b d \right)^{5} \sqrt{e x +d}}-\frac{2 B a \,e^{3}}{\left(a e -b d \right)^{5} \sqrt{e x +d}}-\frac{6 B b d \,e^{2}}{\left(a e -b d \right)^{5} \sqrt{e x +d}}-\frac{2 A \,e^{3}}{3 \left(a e -b d \right)^{4} \left(e x +d \right)^{\frac{3}{2}}}+\frac{2 B d \,e^{2}}{3 \left(a e -b d \right)^{4} \left(e x +d \right)^{\frac{3}{2}}}"," ",0,"41/8*e^3/(a*e-b*d)^5*b^4/(b*e*x+a*e)^3*(e*x+d)^(5/2)*A-19/8*e^3/(a*e-b*d)^5*b^3/(b*e*x+a*e)^3*(e*x+d)^(5/2)*B*a-11/4*e^2/(a*e-b*d)^5*b^4/(b*e*x+a*e)^3*(e*x+d)^(5/2)*B*d+35/3*e^4/(a*e-b*d)^5*b^3/(b*e*x+a*e)^3*A*(e*x+d)^(3/2)*a-35/3*e^3/(a*e-b*d)^5*b^4/(b*e*x+a*e)^3*A*(e*x+d)^(3/2)*d-17/3*e^4/(a*e-b*d)^5*b^2/(b*e*x+a*e)^3*B*(e*x+d)^(3/2)*a^2-1/3*e^3/(a*e-b*d)^5*b^3/(b*e*x+a*e)^3*B*(e*x+d)^(3/2)*a*d+6*e^2/(a*e-b*d)^5*b^4/(b*e*x+a*e)^3*B*(e*x+d)^(3/2)*d^2+55/8*e^5/(a*e-b*d)^5*b^2/(b*e*x+a*e)^3*(e*x+d)^(1/2)*A*a^2-55/4*e^4/(a*e-b*d)^5*b^3/(b*e*x+a*e)^3*(e*x+d)^(1/2)*A*a*d+55/8*e^3/(a*e-b*d)^5*b^4/(b*e*x+a*e)^3*(e*x+d)^(1/2)*A*d^2-29/8*e^5/(a*e-b*d)^5*b/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*a^3+23/8*e^3/(a*e-b*d)^5*b^3/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*a*d^2-13/4*e^2/(a*e-b*d)^5*b^4/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*d^3+4*e^4/(a*e-b*d)^5*b^2/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*a^2*d+105/8*e^3/(a*e-b*d)^5*b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A-35/8*e^3/(a*e-b*d)^5*b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*B-35/4*e^2/(a*e-b*d)^5*b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*d-2/3*e^3/(a*e-b*d)^4/(e*x+d)^(3/2)*A+2/3*e^2/(a*e-b*d)^4/(e*x+d)^(3/2)*B*d+8*e^3/(a*e-b*d)^5/(e*x+d)^(1/2)*A*b-2*e^3/(a*e-b*d)^5/(e*x+d)^(1/2)*a*B-6*e^2/(a*e-b*d)^5/(e*x+d)^(1/2)*B*b*d","B"
1824,1,935,303,0.083000," ","int((B*x+A)/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{89 \sqrt{e x +d}\, A \,a^{2} b^{3} e^{5}}{8 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{3}}+\frac{89 \sqrt{e x +d}\, A a \,b^{4} d \,e^{4}}{4 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{3}}-\frac{89 \sqrt{e x +d}\, A \,b^{5} d^{2} e^{3}}{8 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{3}}+\frac{55 \sqrt{e x +d}\, B \,a^{3} b^{2} e^{5}}{8 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{3}}-\frac{19 \sqrt{e x +d}\, B \,a^{2} b^{3} d \,e^{4}}{2 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{3}}-\frac{13 \sqrt{e x +d}\, B a \,b^{4} d^{2} e^{3}}{8 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{3}}+\frac{17 \sqrt{e x +d}\, B \,b^{5} d^{3} e^{2}}{4 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{3}}-\frac{59 \left(e x +d \right)^{\frac{3}{2}} A a \,b^{4} e^{4}}{3 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{3}}+\frac{59 \left(e x +d \right)^{\frac{3}{2}} A \,b^{5} d \,e^{3}}{3 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{3}}+\frac{35 \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} b^{3} e^{4}}{3 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{3}}-\frac{11 \left(e x +d \right)^{\frac{3}{2}} B a \,b^{4} d \,e^{3}}{3 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{3}}-\frac{8 \left(e x +d \right)^{\frac{3}{2}} B \,b^{5} d^{2} e^{2}}{\left(a e -b d \right)^{6} \left(b e x +a e \right)^{3}}-\frac{71 \left(e x +d \right)^{\frac{5}{2}} A \,b^{5} e^{3}}{8 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{3}}+\frac{41 \left(e x +d \right)^{\frac{5}{2}} B a \,b^{4} e^{3}}{8 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{3}}+\frac{15 \left(e x +d \right)^{\frac{5}{2}} B \,b^{5} d \,e^{2}}{4 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{3}}-\frac{231 A \,b^{3} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{8 \left(a e -b d \right)^{6} \sqrt{\left(a e -b d \right) b}}+\frac{105 B a \,b^{2} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{8 \left(a e -b d \right)^{6} \sqrt{\left(a e -b d \right) b}}+\frac{63 B \,b^{3} d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{4 \left(a e -b d \right)^{6} \sqrt{\left(a e -b d \right) b}}-\frac{20 A \,b^{2} e^{3}}{\left(a e -b d \right)^{6} \sqrt{e x +d}}+\frac{8 B a b \,e^{3}}{\left(a e -b d \right)^{6} \sqrt{e x +d}}+\frac{12 B \,b^{2} d \,e^{2}}{\left(a e -b d \right)^{6} \sqrt{e x +d}}+\frac{8 A b \,e^{3}}{3 \left(a e -b d \right)^{5} \left(e x +d \right)^{\frac{3}{2}}}-\frac{2 B a \,e^{3}}{3 \left(a e -b d \right)^{5} \left(e x +d \right)^{\frac{3}{2}}}-\frac{2 B b d \,e^{2}}{\left(a e -b d \right)^{5} \left(e x +d \right)^{\frac{3}{2}}}-\frac{2 A \,e^{3}}{5 \left(a e -b d \right)^{4} \left(e x +d \right)^{\frac{5}{2}}}+\frac{2 B d \,e^{2}}{5 \left(a e -b d \right)^{4} \left(e x +d \right)^{\frac{5}{2}}}"," ",0,"-2/5*e^3/(a*e-b*d)^4/(e*x+d)^(5/2)*A+2/5*e^2/(a*e-b*d)^4/(e*x+d)^(5/2)*B*d-13/8*e^3/(a*e-b*d)^6*b^4/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*a*d^2-11/3*e^3/(a*e-b*d)^6*b^4/(b*e*x+a*e)^3*B*(e*x+d)^(3/2)*a*d+89/4*e^4/(a*e-b*d)^6*b^4/(b*e*x+a*e)^3*(e*x+d)^(1/2)*A*a*d-19/2*e^4/(a*e-b*d)^6*b^3/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*a^2*d-2/3*e^3/(a*e-b*d)^5/(e*x+d)^(3/2)*a*B-20*e^3*b^2/(a*e-b*d)^6/(e*x+d)^(1/2)*A-89/8*e^5/(a*e-b*d)^6*b^3/(b*e*x+a*e)^3*(e*x+d)^(1/2)*A*a^2-89/8*e^3/(a*e-b*d)^6*b^5/(b*e*x+a*e)^3*(e*x+d)^(1/2)*A*d^2+55/8*e^5/(a*e-b*d)^6*b^2/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*a^3+63/4*e^2/(a*e-b*d)^6*b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*d+17/4*e^2/(a*e-b*d)^6*b^5/(b*e*x+a*e)^3*(e*x+d)^(1/2)*B*d^3-8*e^2/(a*e-b*d)^6*b^5/(b*e*x+a*e)^3*B*(e*x+d)^(3/2)*d^2+15/4*e^2/(a*e-b*d)^6*b^5/(b*e*x+a*e)^3*(e*x+d)^(5/2)*B*d+8/3*e^3/(a*e-b*d)^5/(e*x+d)^(3/2)*A*b-2*e^2/(a*e-b*d)^5/(e*x+d)^(3/2)*B*b*d+12*e^2*b^2/(a*e-b*d)^6/(e*x+d)^(1/2)*B*d+8*e^3*b/(a*e-b*d)^6/(e*x+d)^(1/2)*a*B-231/8*e^3/(a*e-b*d)^6*b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A-71/8*e^3/(a*e-b*d)^6*b^5/(b*e*x+a*e)^3*(e*x+d)^(5/2)*A+105/8*e^3/(a*e-b*d)^6*b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*B+41/8*e^3/(a*e-b*d)^6*b^4/(b*e*x+a*e)^3*(e*x+d)^(5/2)*B*a-59/3*e^4/(a*e-b*d)^6*b^4/(b*e*x+a*e)^3*A*(e*x+d)^(3/2)*a+59/3*e^3/(a*e-b*d)^6*b^5/(b*e*x+a*e)^3*A*(e*x+d)^(3/2)*d+35/3*e^4/(a*e-b*d)^6*b^3/(b*e*x+a*e)^3*B*(e*x+d)^(3/2)*a^2","B"
1825,1,1633,353,0.089000," ","int((B*x+A)*(e*x+d)^(11/2)/(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{437 \sqrt{e x +d}\, A \,a^{5} e^{10}}{128 \left(b e x +a e \right)^{5} b^{6}}-\frac{2185 \sqrt{e x +d}\, A \,a^{4} d \,e^{9}}{128 \left(b e x +a e \right)^{5} b^{5}}+\frac{2185 \sqrt{e x +d}\, A \,a^{3} d^{2} e^{8}}{64 \left(b e x +a e \right)^{5} b^{4}}-\frac{2185 \sqrt{e x +d}\, A \,a^{2} d^{3} e^{7}}{64 \left(b e x +a e \right)^{5} b^{3}}+\frac{2185 \sqrt{e x +d}\, A a \,d^{4} e^{6}}{128 \left(b e x +a e \right)^{5} b^{2}}-\frac{437 \sqrt{e x +d}\, A \,d^{5} e^{5}}{128 \left(b e x +a e \right)^{5} b}-\frac{1467 \sqrt{e x +d}\, B \,a^{6} e^{10}}{128 \left(b e x +a e \right)^{5} b^{7}}+\frac{8365 \sqrt{e x +d}\, B \,a^{5} d \,e^{9}}{128 \left(b e x +a e \right)^{5} b^{6}}-\frac{4955 \sqrt{e x +d}\, B \,a^{4} d^{2} e^{8}}{32 \left(b e x +a e \right)^{5} b^{5}}+\frac{12485 \sqrt{e x +d}\, B \,a^{3} d^{3} e^{7}}{64 \left(b e x +a e \right)^{5} b^{4}}-\frac{17635 \sqrt{e x +d}\, B \,a^{2} d^{4} e^{6}}{128 \left(b e x +a e \right)^{5} b^{3}}+\frac{6617 \sqrt{e x +d}\, B a \,d^{5} e^{5}}{128 \left(b e x +a e \right)^{5} b^{2}}-\frac{515 \sqrt{e x +d}\, B \,d^{6} e^{4}}{64 \left(b e x +a e \right)^{5} b}+\frac{977 \left(e x +d \right)^{\frac{3}{2}} A \,a^{4} e^{9}}{64 \left(b e x +a e \right)^{5} b^{5}}-\frac{977 \left(e x +d \right)^{\frac{3}{2}} A \,a^{3} d \,e^{8}}{16 \left(b e x +a e \right)^{5} b^{4}}+\frac{2931 \left(e x +d \right)^{\frac{3}{2}} A \,a^{2} d^{2} e^{7}}{32 \left(b e x +a e \right)^{5} b^{3}}-\frac{977 \left(e x +d \right)^{\frac{3}{2}} A a \,d^{3} e^{6}}{16 \left(b e x +a e \right)^{5} b^{2}}+\frac{977 \left(e x +d \right)^{\frac{3}{2}} A \,d^{4} e^{5}}{64 \left(b e x +a e \right)^{5} b}-\frac{9629 \left(e x +d \right)^{\frac{3}{2}} B \,a^{5} e^{9}}{192 \left(b e x +a e \right)^{5} b^{6}}+\frac{22607 \left(e x +d \right)^{\frac{3}{2}} B \,a^{4} d \,e^{8}}{96 \left(b e x +a e \right)^{5} b^{5}}-\frac{42283 \left(e x +d \right)^{\frac{3}{2}} B \,a^{3} d^{2} e^{7}}{96 \left(b e x +a e \right)^{5} b^{4}}+\frac{4919 \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} d^{3} e^{6}}{12 \left(b e x +a e \right)^{5} b^{3}}-\frac{36421 \left(e x +d \right)^{\frac{3}{2}} B a \,d^{4} e^{5}}{192 \left(b e x +a e \right)^{5} b^{2}}+\frac{3349 \left(e x +d \right)^{\frac{3}{2}} B \,d^{5} e^{4}}{96 \left(b e x +a e \right)^{5} b}+\frac{131 \left(e x +d \right)^{\frac{5}{2}} A \,a^{3} e^{8}}{5 \left(b e x +a e \right)^{5} b^{4}}-\frac{393 \left(e x +d \right)^{\frac{5}{2}} A \,a^{2} d \,e^{7}}{5 \left(b e x +a e \right)^{5} b^{3}}+\frac{393 \left(e x +d \right)^{\frac{5}{2}} A a \,d^{2} e^{6}}{5 \left(b e x +a e \right)^{5} b^{2}}-\frac{131 \left(e x +d \right)^{\frac{5}{2}} A \,d^{3} e^{5}}{5 \left(b e x +a e \right)^{5} b}-\frac{1253 \left(e x +d \right)^{\frac{5}{2}} B \,a^{4} e^{8}}{15 \left(b e x +a e \right)^{5} b^{5}}+\frac{4619 \left(e x +d \right)^{\frac{5}{2}} B \,a^{3} d \,e^{7}}{15 \left(b e x +a e \right)^{5} b^{4}}-\frac{2113 \left(e x +d \right)^{\frac{5}{2}} B \,a^{2} d^{2} e^{6}}{5 \left(b e x +a e \right)^{5} b^{3}}+\frac{3833 \left(e x +d \right)^{\frac{5}{2}} B a \,d^{3} e^{5}}{15 \left(b e x +a e \right)^{5} b^{2}}-\frac{172 \left(e x +d \right)^{\frac{5}{2}} B \,d^{4} e^{4}}{3 \left(b e x +a e \right)^{5} b}+\frac{1327 \left(e x +d \right)^{\frac{7}{2}} A \,a^{2} e^{7}}{64 \left(b e x +a e \right)^{5} b^{3}}-\frac{1327 \left(e x +d \right)^{\frac{7}{2}} A a d \,e^{6}}{32 \left(b e x +a e \right)^{5} b^{2}}+\frac{1327 \left(e x +d \right)^{\frac{7}{2}} A \,d^{2} e^{5}}{64 \left(b e x +a e \right)^{5} b}-\frac{12131 \left(e x +d \right)^{\frac{7}{2}} B \,a^{3} e^{7}}{192 \left(b e x +a e \right)^{5} b^{4}}+\frac{2701 \left(e x +d \right)^{\frac{7}{2}} B \,a^{2} d \,e^{6}}{16 \left(b e x +a e \right)^{5} b^{3}}-\frac{9477 \left(e x +d \right)^{\frac{7}{2}} B a \,d^{2} e^{5}}{64 \left(b e x +a e \right)^{5} b^{2}}+\frac{4075 \left(e x +d \right)^{\frac{7}{2}} B \,d^{3} e^{4}}{96 \left(b e x +a e \right)^{5} b}+\frac{843 \left(e x +d \right)^{\frac{9}{2}} A a \,e^{6}}{128 \left(b e x +a e \right)^{5} b^{2}}-\frac{843 \left(e x +d \right)^{\frac{9}{2}} A d \,e^{5}}{128 \left(b e x +a e \right)^{5} b}-\frac{2373 \left(e x +d \right)^{\frac{9}{2}} B \,a^{2} e^{6}}{128 \left(b e x +a e \right)^{5} b^{3}}+\frac{3903 \left(e x +d \right)^{\frac{9}{2}} B a d \,e^{5}}{128 \left(b e x +a e \right)^{5} b^{2}}-\frac{765 \left(e x +d \right)^{\frac{9}{2}} B \,d^{2} e^{4}}{64 \left(b e x +a e \right)^{5} b}-\frac{693 A a \,e^{6} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{128 \sqrt{\left(a e -b d \right) b}\, b^{6}}+\frac{693 A d \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{128 \sqrt{\left(a e -b d \right) b}\, b^{5}}+\frac{3003 B \,a^{2} e^{6} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{128 \sqrt{\left(a e -b d \right) b}\, b^{7}}-\frac{5313 B a d \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{128 \sqrt{\left(a e -b d \right) b}\, b^{6}}+\frac{1155 B \,d^{2} e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{64 \sqrt{\left(a e -b d \right) b}\, b^{5}}+\frac{2 \sqrt{e x +d}\, A \,e^{5}}{b^{6}}-\frac{12 \sqrt{e x +d}\, B a \,e^{5}}{b^{7}}+\frac{10 \sqrt{e x +d}\, B d \,e^{4}}{b^{6}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} B \,e^{4}}{3 b^{6}}"," ",0,"2/3*e^4/b^6*B*(e*x+d)^(3/2)+2*e^5/b^6*A*(e*x+d)^(1/2)-12*e^5/b^7*a*B*(e*x+d)^(1/2)+10*e^4/b^6*B*d*(e*x+d)^(1/2)+977/64*e^5/b/(b*e*x+a*e)^5*(e*x+d)^(3/2)*A*d^4-9629/192*e^9/b^6/(b*e*x+a*e)^5*(e*x+d)^(3/2)*B*a^5-437/128*e^5/b/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*d^5+437/128*e^10/b^6/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*a^5+1327/64*e^7/b^3/(b*e*x+a*e)^5*A*(e*x+d)^(7/2)*a^2-131/5*e^5/b/(b*e*x+a*e)^5*(e*x+d)^(5/2)*A*d^3-1253/15*e^8/b^5/(b*e*x+a*e)^5*(e*x+d)^(5/2)*B*a^4+977/64*e^9/b^5/(b*e*x+a*e)^5*(e*x+d)^(3/2)*A*a^4+3003/128*e^6/b^7/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*a^2-1467/128*e^10/b^7/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a^6+131/5*e^8/b^4/(b*e*x+a*e)^5*(e*x+d)^(5/2)*A*a^3-693/128*e^6/b^6/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*a+693/128*e^5/b^5/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*d-172/3*e^4/b/(b*e*x+a*e)^5*(e*x+d)^(5/2)*B*d^4+3349/96*e^4/b/(b*e*x+a*e)^5*(e*x+d)^(3/2)*B*d^5-515/64*e^4/b/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*d^6+4075/96*e^4/b/(b*e*x+a*e)^5*B*(e*x+d)^(7/2)*d^3+1327/64*e^5/b/(b*e*x+a*e)^5*A*(e*x+d)^(7/2)*d^2+843/128*e^6/b^2/(b*e*x+a*e)^5*(e*x+d)^(9/2)*A*a-843/128*e^5/b/(b*e*x+a*e)^5*(e*x+d)^(9/2)*A*d-2373/128*e^6/b^3/(b*e*x+a*e)^5*(e*x+d)^(9/2)*B*a^2-12131/192*e^7/b^4/(b*e*x+a*e)^5*B*(e*x+d)^(7/2)*a^3+1155/64*e^4/b^5/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*d^2-765/64*e^4/b/(b*e*x+a*e)^5*(e*x+d)^(9/2)*B*d^2-977/16*e^6/b^2/(b*e*x+a*e)^5*(e*x+d)^(3/2)*A*a*d^3+22607/96*e^8/b^5/(b*e*x+a*e)^5*(e*x+d)^(3/2)*B*a^4*d-42283/96*e^7/b^4/(b*e*x+a*e)^5*(e*x+d)^(3/2)*B*a^3*d^2+4919/12*e^6/b^3/(b*e*x+a*e)^5*(e*x+d)^(3/2)*B*a^2*d^3-36421/192*e^5/b^2/(b*e*x+a*e)^5*(e*x+d)^(3/2)*B*a*d^4+2185/128*e^6/b^2/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*a*d^4+12485/64*e^7/b^4/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a^3*d^3-17635/128*e^6/b^3/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a^2*d^4+6617/128*e^5/b^2/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a*d^5-5313/128*e^5/b^6/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*a*d+3903/128*e^5/b^2/(b*e*x+a*e)^5*(e*x+d)^(9/2)*B*a*d-2185/64*e^7/b^3/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*a^2*d^3-2185/128*e^9/b^5/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*a^4*d+2185/64*e^8/b^4/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*a^3*d^2-4955/32*e^8/b^5/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a^4*d^2+8365/128*e^9/b^6/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a^5*d-1327/32*e^6/b^2/(b*e*x+a*e)^5*A*(e*x+d)^(7/2)*a*d+2701/16*e^6/b^3/(b*e*x+a*e)^5*B*(e*x+d)^(7/2)*a^2*d-9477/64*e^5/b^2/(b*e*x+a*e)^5*B*(e*x+d)^(7/2)*a*d^2-393/5*e^7/b^3/(b*e*x+a*e)^5*(e*x+d)^(5/2)*A*a^2*d+393/5*e^6/b^2/(b*e*x+a*e)^5*(e*x+d)^(5/2)*A*a*d^2+4619/15*e^7/b^4/(b*e*x+a*e)^5*(e*x+d)^(5/2)*B*a^3*d-2113/5*e^6/b^3/(b*e*x+a*e)^5*(e*x+d)^(5/2)*B*a^2*d^2+3833/15*e^5/b^2/(b*e*x+a*e)^5*(e*x+d)^(5/2)*B*a*d^3-977/16*e^8/b^4/(b*e*x+a*e)^5*(e*x+d)^(3/2)*A*a^3*d+2931/32*e^7/b^3/(b*e*x+a*e)^5*(e*x+d)^(3/2)*A*a^2*d^2","B"
1826,1,1173,316,0.084000," ","int((B*x+A)*(e*x+d)^(9/2)/(b^2*x^2+2*a*b*x+a^2)^3,x)","-\frac{63 \sqrt{e x +d}\, A \,a^{4} e^{9}}{128 \left(b e x +a e \right)^{5} b^{5}}+\frac{63 \sqrt{e x +d}\, A \,a^{3} d \,e^{8}}{32 \left(b e x +a e \right)^{5} b^{4}}-\frac{189 \sqrt{e x +d}\, A \,a^{2} d^{2} e^{7}}{64 \left(b e x +a e \right)^{5} b^{3}}+\frac{63 \sqrt{e x +d}\, A a \,d^{3} e^{6}}{32 \left(b e x +a e \right)^{5} b^{2}}-\frac{63 \sqrt{e x +d}\, A \,d^{4} e^{5}}{128 \left(b e x +a e \right)^{5} b}+\frac{437 \sqrt{e x +d}\, B \,a^{5} e^{9}}{128 \left(b e x +a e \right)^{5} b^{6}}-\frac{1061 \sqrt{e x +d}\, B \,a^{4} d \,e^{8}}{64 \left(b e x +a e \right)^{5} b^{5}}+\frac{2059 \sqrt{e x +d}\, B \,a^{3} d^{2} e^{7}}{64 \left(b e x +a e \right)^{5} b^{4}}-\frac{499 \sqrt{e x +d}\, B \,a^{2} d^{3} e^{6}}{16 \left(b e x +a e \right)^{5} b^{3}}+\frac{1933 \sqrt{e x +d}\, B a \,d^{4} e^{5}}{128 \left(b e x +a e \right)^{5} b^{2}}-\frac{187 \sqrt{e x +d}\, B \,d^{5} e^{4}}{64 \left(b e x +a e \right)^{5} b}-\frac{147 \left(e x +d \right)^{\frac{3}{2}} A \,a^{3} e^{8}}{64 \left(b e x +a e \right)^{5} b^{4}}+\frac{441 \left(e x +d \right)^{\frac{3}{2}} A \,a^{2} d \,e^{7}}{64 \left(b e x +a e \right)^{5} b^{3}}-\frac{441 \left(e x +d \right)^{\frac{3}{2}} A a \,d^{2} e^{6}}{64 \left(b e x +a e \right)^{5} b^{2}}+\frac{147 \left(e x +d \right)^{\frac{3}{2}} A \,d^{3} e^{5}}{64 \left(b e x +a e \right)^{5} b}+\frac{977 \left(e x +d \right)^{\frac{3}{2}} B \,a^{4} e^{8}}{64 \left(b e x +a e \right)^{5} b^{5}}-\frac{3761 \left(e x +d \right)^{\frac{3}{2}} B \,a^{3} d \,e^{7}}{64 \left(b e x +a e \right)^{5} b^{4}}+\frac{5421 \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} d^{2} e^{6}}{64 \left(b e x +a e \right)^{5} b^{3}}-\frac{3467 \left(e x +d \right)^{\frac{3}{2}} B a \,d^{3} e^{5}}{64 \left(b e x +a e \right)^{5} b^{2}}+\frac{415 \left(e x +d \right)^{\frac{3}{2}} B \,d^{4} e^{4}}{32 \left(b e x +a e \right)^{5} b}-\frac{21 \left(e x +d \right)^{\frac{5}{2}} A \,a^{2} e^{7}}{5 \left(b e x +a e \right)^{5} b^{3}}+\frac{42 \left(e x +d \right)^{\frac{5}{2}} A a d \,e^{6}}{5 \left(b e x +a e \right)^{5} b^{2}}-\frac{21 \left(e x +d \right)^{\frac{5}{2}} A \,d^{2} e^{5}}{5 \left(b e x +a e \right)^{5} b}+\frac{131 \left(e x +d \right)^{\frac{5}{2}} B \,a^{3} e^{7}}{5 \left(b e x +a e \right)^{5} b^{4}}-\frac{372 \left(e x +d \right)^{\frac{5}{2}} B \,a^{2} d \,e^{6}}{5 \left(b e x +a e \right)^{5} b^{3}}+\frac{351 \left(e x +d \right)^{\frac{5}{2}} B a \,d^{2} e^{5}}{5 \left(b e x +a e \right)^{5} b^{2}}-\frac{22 \left(e x +d \right)^{\frac{5}{2}} B \,d^{3} e^{4}}{\left(b e x +a e \right)^{5} b}-\frac{237 \left(e x +d \right)^{\frac{7}{2}} A a \,e^{6}}{64 \left(b e x +a e \right)^{5} b^{2}}+\frac{237 \left(e x +d \right)^{\frac{7}{2}} A d \,e^{5}}{64 \left(b e x +a e \right)^{5} b}+\frac{1327 \left(e x +d \right)^{\frac{7}{2}} B \,a^{2} e^{6}}{64 \left(b e x +a e \right)^{5} b^{3}}-\frac{2417 \left(e x +d \right)^{\frac{7}{2}} B a d \,e^{5}}{64 \left(b e x +a e \right)^{5} b^{2}}+\frac{545 \left(e x +d \right)^{\frac{7}{2}} B \,d^{2} e^{4}}{32 \left(b e x +a e \right)^{5} b}-\frac{193 \left(e x +d \right)^{\frac{9}{2}} A \,e^{5}}{128 \left(b e x +a e \right)^{5} b}+\frac{843 \left(e x +d \right)^{\frac{9}{2}} B a \,e^{5}}{128 \left(b e x +a e \right)^{5} b^{2}}-\frac{325 \left(e x +d \right)^{\frac{9}{2}} B d \,e^{4}}{64 \left(b e x +a e \right)^{5} b}+\frac{63 A \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{128 \sqrt{\left(a e -b d \right) b}\, b^{5}}-\frac{693 B a \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{128 \sqrt{\left(a e -b d \right) b}\, b^{6}}+\frac{315 B d \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{64 \sqrt{\left(a e -b d \right) b}\, b^{5}}+\frac{2 \sqrt{e x +d}\, B \,e^{4}}{b^{6}}"," ",0,"2*e^4*B/b^6*(e*x+d)^(1/2)+63/32*e^8/b^4/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*a^3*d+42/5*e^6/b^2/(b*e*x+a*e)^5*(e*x+d)^(5/2)*A*a*d+351/5*e^5/b^2/(b*e*x+a*e)^5*(e*x+d)^(5/2)*B*a*d^2+2059/64*e^7/b^4/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a^3*d^2-189/64*e^7/b^3/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*a^2*d^2+63/32*e^6/b^2/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*a*d^3-1061/64*e^8/b^5/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a^4*d-499/16*e^6/b^3/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a^2*d^3+1933/128*e^5/b^2/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a*d^4-2417/64*e^5/b^2/(b*e*x+a*e)^5*B*(e*x+d)^(7/2)*a*d+441/64*e^7/b^3/(b*e*x+a*e)^5*A*(e*x+d)^(3/2)*a^2*d-372/5*e^6/b^3/(b*e*x+a*e)^5*(e*x+d)^(5/2)*B*a^2*d-3467/64*e^5/b^2/(b*e*x+a*e)^5*B*(e*x+d)^(3/2)*a*d^3-441/64*e^6/b^2/(b*e*x+a*e)^5*A*(e*x+d)^(3/2)*a*d^2-3761/64*e^7/b^4/(b*e*x+a*e)^5*B*(e*x+d)^(3/2)*a^3*d+5421/64*e^6/b^3/(b*e*x+a*e)^5*B*(e*x+d)^(3/2)*a^2*d^2+63/128*e^5/b^5/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A-193/128*e^5/b/(b*e*x+a*e)^5*(e*x+d)^(9/2)*A-237/64*e^6/b^2/(b*e*x+a*e)^5*A*(e*x+d)^(7/2)*a+237/64*e^5/b/(b*e*x+a*e)^5*A*(e*x+d)^(7/2)*d+437/128*e^9/b^6/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a^5-693/128*e^5/b^6/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*B+1327/64*e^6/b^3/(b*e*x+a*e)^5*B*(e*x+d)^(7/2)*a^2-147/64*e^8/b^4/(b*e*x+a*e)^5*A*(e*x+d)^(3/2)*a^3+147/64*e^5/b/(b*e*x+a*e)^5*A*(e*x+d)^(3/2)*d^3+977/64*e^8/b^5/(b*e*x+a*e)^5*B*(e*x+d)^(3/2)*a^4+843/128*e^5/b^2/(b*e*x+a*e)^5*(e*x+d)^(9/2)*B*a-21/5*e^7/b^3/(b*e*x+a*e)^5*(e*x+d)^(5/2)*A*a^2-21/5*e^5/b/(b*e*x+a*e)^5*(e*x+d)^(5/2)*A*d^2+131/5*e^7/b^4/(b*e*x+a*e)^5*(e*x+d)^(5/2)*B*a^3-63/128*e^9/b^5/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*a^4+415/32*e^4/b/(b*e*x+a*e)^5*B*(e*x+d)^(3/2)*d^4+315/64*e^4/b^5/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*d-325/64*e^4/b/(b*e*x+a*e)^5*(e*x+d)^(9/2)*B*d-22*e^4/b/(b*e*x+a*e)^5*(e*x+d)^(5/2)*B*d^3-187/64*e^4/b/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*d^5+545/32*e^4/b/(b*e*x+a*e)^5*B*(e*x+d)^(7/2)*d^2-63/128*e^5/b/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*d^4","B"
1827,1,959,281,0.073000," ","int((B*x+A)*(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^3,x)","-\frac{7 \sqrt{e x +d}\, A \,a^{3} e^{8}}{128 \left(b e x +a e \right)^{5} b^{4}}+\frac{21 \sqrt{e x +d}\, A \,a^{2} d \,e^{7}}{128 \left(b e x +a e \right)^{5} b^{3}}-\frac{21 \sqrt{e x +d}\, A a \,d^{2} e^{6}}{128 \left(b e x +a e \right)^{5} b^{2}}+\frac{7 \sqrt{e x +d}\, A \,d^{3} e^{5}}{128 \left(b e x +a e \right)^{5} b}-\frac{63 \sqrt{e x +d}\, B \,a^{4} e^{8}}{128 \left(b e x +a e \right)^{5} b^{5}}+\frac{259 \sqrt{e x +d}\, B \,a^{3} d \,e^{7}}{128 \left(b e x +a e \right)^{5} b^{4}}-\frac{399 \sqrt{e x +d}\, B \,a^{2} d^{2} e^{6}}{128 \left(b e x +a e \right)^{5} b^{3}}+\frac{273 \sqrt{e x +d}\, B a \,d^{3} e^{5}}{128 \left(b e x +a e \right)^{5} b^{2}}-\frac{35 \sqrt{e x +d}\, B \,d^{4} e^{4}}{64 \left(b e x +a e \right)^{5} b}-\frac{49 \left(e x +d \right)^{\frac{3}{2}} A \,a^{2} e^{7}}{192 \left(b e x +a e \right)^{5} b^{3}}+\frac{49 \left(e x +d \right)^{\frac{3}{2}} A a d \,e^{6}}{96 \left(b e x +a e \right)^{5} b^{2}}-\frac{49 \left(e x +d \right)^{\frac{3}{2}} A \,d^{2} e^{5}}{192 \left(b e x +a e \right)^{5} b}-\frac{147 \left(e x +d \right)^{\frac{3}{2}} B \,a^{3} e^{7}}{64 \left(b e x +a e \right)^{5} b^{4}}+\frac{343 \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} d \,e^{6}}{48 \left(b e x +a e \right)^{5} b^{3}}-\frac{1421 \left(e x +d \right)^{\frac{3}{2}} B a \,d^{2} e^{5}}{192 \left(b e x +a e \right)^{5} b^{2}}+\frac{245 \left(e x +d \right)^{\frac{3}{2}} B \,d^{3} e^{4}}{96 \left(b e x +a e \right)^{5} b}-\frac{7 \left(e x +d \right)^{\frac{5}{2}} A a \,e^{6}}{15 \left(b e x +a e \right)^{5} b^{2}}+\frac{7 \left(e x +d \right)^{\frac{5}{2}} A d \,e^{5}}{15 \left(b e x +a e \right)^{5} b}+\frac{7 \left(e x +d \right)^{\frac{9}{2}} A \,e^{5}}{128 \left(b e x +a e \right)^{5} \left(a e -b d \right)}-\frac{21 \left(e x +d \right)^{\frac{5}{2}} B \,a^{2} e^{6}}{5 \left(b e x +a e \right)^{5} b^{3}}-\frac{193 \left(e x +d \right)^{\frac{9}{2}} B a \,e^{5}}{128 \left(b e x +a e \right)^{5} \left(a e -b d \right) b}+\frac{133 \left(e x +d \right)^{\frac{5}{2}} B a d \,e^{5}}{15 \left(b e x +a e \right)^{5} b^{2}}-\frac{14 \left(e x +d \right)^{\frac{5}{2}} B \,d^{2} e^{4}}{3 \left(b e x +a e \right)^{5} b}+\frac{93 \left(e x +d \right)^{\frac{9}{2}} B d \,e^{4}}{64 \left(b e x +a e \right)^{5} \left(a e -b d \right)}-\frac{79 \left(e x +d \right)^{\frac{7}{2}} A \,e^{5}}{192 \left(b e x +a e \right)^{5} b}-\frac{237 \left(e x +d \right)^{\frac{7}{2}} B a \,e^{5}}{64 \left(b e x +a e \right)^{5} b^{2}}+\frac{395 \left(e x +d \right)^{\frac{7}{2}} B d \,e^{4}}{96 \left(b e x +a e \right)^{5} b}+\frac{7 A \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{128 \left(a e -b d \right) \sqrt{\left(a e -b d \right) b}\, b^{4}}+\frac{63 B a \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{128 \left(a e -b d \right) \sqrt{\left(a e -b d \right) b}\, b^{5}}-\frac{35 B d \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{64 \left(a e -b d \right) \sqrt{\left(a e -b d \right) b}\, b^{4}}"," ",0,"-79/192*e^5/(b*e*x+a*e)^5/b*(e*x+d)^(7/2)*A+7/128*e^5/(b*e*x+a*e)^5/(a*e-b*d)*(e*x+d)^(9/2)*A+21/128*e^7/(b*e*x+a*e)^5/b^3*(e*x+d)^(1/2)*A*a^2*d-35/64*e^4/(a*e-b*d)/b^4/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*d+49/96*e^6/(b*e*x+a*e)^5/b^2*(e*x+d)^(3/2)*A*a*d+343/48*e^6/(b*e*x+a*e)^5/b^3*(e*x+d)^(3/2)*B*a^2*d-1421/192*e^5/(b*e*x+a*e)^5/b^2*(e*x+d)^(3/2)*B*a*d^2+259/128*e^7/(b*e*x+a*e)^5/b^4*(e*x+d)^(1/2)*B*d*a^3-399/128*e^6/(b*e*x+a*e)^5/b^3*(e*x+d)^(1/2)*B*a^2*d^2-21/128*e^6/(b*e*x+a*e)^5/b^2*(e*x+d)^(1/2)*A*d^2*a-193/128*e^5/(b*e*x+a*e)^5/(a*e-b*d)/b*(e*x+d)^(9/2)*a*B+63/128*e^5/(a*e-b*d)/b^5/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*B+273/128*e^5/(b*e*x+a*e)^5/b^2*(e*x+d)^(1/2)*B*a*d^3+133/15*e^5/(b*e*x+a*e)^5/b^2*(e*x+d)^(5/2)*B*a*d-63/128*e^8/(b*e*x+a*e)^5/b^5*(e*x+d)^(1/2)*B*a^4-7/15*e^6/(b*e*x+a*e)^5/b^2*(e*x+d)^(5/2)*A*a+7/128*e^5/(a*e-b*d)/b^4/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A+7/15*e^5/(b*e*x+a*e)^5/b*(e*x+d)^(5/2)*A*d-14/3*e^4/(b*e*x+a*e)^5/b*(e*x+d)^(5/2)*B*d^2+245/96*e^4/(b*e*x+a*e)^5/b*(e*x+d)^(3/2)*B*d^3-35/64*e^4/(b*e*x+a*e)^5/b*(e*x+d)^(1/2)*B*d^4+93/64*e^4/(b*e*x+a*e)^5/(a*e-b*d)*(e*x+d)^(9/2)*B*d+395/96*e^4/(b*e*x+a*e)^5/b*(e*x+d)^(7/2)*B*d-237/64*e^5/(b*e*x+a*e)^5/b^2*(e*x+d)^(7/2)*a*B-21/5*e^6/(b*e*x+a*e)^5/b^3*(e*x+d)^(5/2)*B*a^2-49/192*e^7/(b*e*x+a*e)^5/b^3*(e*x+d)^(3/2)*A*a^2-147/64*e^7/(b*e*x+a*e)^5/b^4*(e*x+d)^(3/2)*B*a^3-49/192*e^5/(b*e*x+a*e)^5/b*(e*x+d)^(3/2)*A*d^2-7/128*e^8/(b*e*x+a*e)^5/b^4*(e*x+d)^(1/2)*A*a^3+7/128*e^5/(b*e*x+a*e)^5/b*(e*x+d)^(1/2)*A*d^3","B"
1828,1,872,281,0.080000," ","int((B*x+A)*(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^3,x)","-\frac{3 \sqrt{e x +d}\, A \,a^{2} e^{7}}{128 \left(b e x +a e \right)^{5} b^{3}}+\frac{3 \sqrt{e x +d}\, A a d \,e^{6}}{64 \left(b e x +a e \right)^{5} b^{2}}+\frac{3 \left(e x +d \right)^{\frac{9}{2}} A b \,e^{5}}{128 \left(b e x +a e \right)^{5} \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right)}-\frac{3 \sqrt{e x +d}\, A \,d^{2} e^{5}}{128 \left(b e x +a e \right)^{5} b}-\frac{7 \sqrt{e x +d}\, B \,a^{3} e^{7}}{128 \left(b e x +a e \right)^{5} b^{4}}+\frac{3 \sqrt{e x +d}\, B \,a^{2} d \,e^{6}}{16 \left(b e x +a e \right)^{5} b^{3}}-\frac{27 \sqrt{e x +d}\, B a \,d^{2} e^{5}}{128 \left(b e x +a e \right)^{5} b^{2}}+\frac{7 \left(e x +d \right)^{\frac{9}{2}} B a \,e^{5}}{128 \left(b e x +a e \right)^{5} \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right)}-\frac{5 \left(e x +d \right)^{\frac{9}{2}} B b d \,e^{4}}{64 \left(b e x +a e \right)^{5} \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right)}+\frac{5 \sqrt{e x +d}\, B \,d^{3} e^{4}}{64 \left(b e x +a e \right)^{5} b}-\frac{7 \left(e x +d \right)^{\frac{3}{2}} A a \,e^{6}}{64 \left(b e x +a e \right)^{5} b^{2}}+\frac{7 \left(e x +d \right)^{\frac{3}{2}} A d \,e^{5}}{64 \left(b e x +a e \right)^{5} b}+\frac{7 \left(e x +d \right)^{\frac{7}{2}} A \,e^{5}}{64 \left(b e x +a e \right)^{5} \left(a e -b d \right)}-\frac{49 \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} e^{6}}{192 \left(b e x +a e \right)^{5} b^{3}}-\frac{79 \left(e x +d \right)^{\frac{7}{2}} B a \,e^{5}}{192 \left(b e x +a e \right)^{5} \left(a e -b d \right) b}+\frac{119 \left(e x +d \right)^{\frac{3}{2}} B a d \,e^{5}}{192 \left(b e x +a e \right)^{5} b^{2}}-\frac{35 \left(e x +d \right)^{\frac{3}{2}} B \,d^{2} e^{4}}{96 \left(b e x +a e \right)^{5} b}+\frac{29 \left(e x +d \right)^{\frac{7}{2}} B d \,e^{4}}{96 \left(b e x +a e \right)^{5} \left(a e -b d \right)}-\frac{\left(e x +d \right)^{\frac{5}{2}} A \,e^{5}}{5 \left(b e x +a e \right)^{5} b}-\frac{7 \left(e x +d \right)^{\frac{5}{2}} B a \,e^{5}}{15 \left(b e x +a e \right)^{5} b^{2}}+\frac{2 \left(e x +d \right)^{\frac{5}{2}} B d \,e^{4}}{3 \left(b e x +a e \right)^{5} b}+\frac{3 A \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{128 \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right) \sqrt{\left(a e -b d \right) b}\, b^{3}}+\frac{7 B a \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{128 \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right) \sqrt{\left(a e -b d \right) b}\, b^{4}}-\frac{5 B d \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{64 \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right) \sqrt{\left(a e -b d \right) b}\, b^{3}}"," ",0,"3/128*e^5/(b*e*x+a*e)^5/(a^2*e^2-2*a*b*d*e+b^2*d^2)*(e*x+d)^(9/2)*A*b+7/128*e^5/(b*e*x+a*e)^5/(a^2*e^2-2*a*b*d*e+b^2*d^2)*(e*x+d)^(9/2)*a*B-5/64*e^4/(b*e*x+a*e)^5/(a^2*e^2-2*a*b*d*e+b^2*d^2)*(e*x+d)^(9/2)*B*b*d+7/64*e^5/(b*e*x+a*e)^5/(a*e-b*d)*(e*x+d)^(7/2)*A-79/192*e^5/(b*e*x+a*e)^5/b/(a*e-b*d)*(e*x+d)^(7/2)*a*B+29/96*e^4/(b*e*x+a*e)^5/(a*e-b*d)*(e*x+d)^(7/2)*B*d-1/5*e^5/(b*e*x+a*e)^5/b*(e*x+d)^(5/2)*A-7/15*e^5/(b*e*x+a*e)^5/b^2*(e*x+d)^(5/2)*a*B+2/3*e^4/(b*e*x+a*e)^5/b*(e*x+d)^(5/2)*B*d-7/64*e^6/(b*e*x+a*e)^5/b^2*(e*x+d)^(3/2)*A*a+7/64*e^5/(b*e*x+a*e)^5/b*(e*x+d)^(3/2)*A*d-49/192*e^6/(b*e*x+a*e)^5/b^3*(e*x+d)^(3/2)*B*a^2+119/192*e^5/(b*e*x+a*e)^5/b^2*(e*x+d)^(3/2)*B*a*d-35/96*e^4/(b*e*x+a*e)^5/b*(e*x+d)^(3/2)*B*d^2-3/128*e^7/(b*e*x+a*e)^5/b^3*(e*x+d)^(1/2)*A*a^2+3/64*e^6/(b*e*x+a*e)^5/b^2*(e*x+d)^(1/2)*A*a*d-3/128*e^5/(b*e*x+a*e)^5/b*(e*x+d)^(1/2)*A*d^2-7/128*e^7/(b*e*x+a*e)^5/b^4*(e*x+d)^(1/2)*B*a^3+3/16*e^6/(b*e*x+a*e)^5/b^3*(e*x+d)^(1/2)*B*a^2*d-27/128*e^5/(b*e*x+a*e)^5/b^2*(e*x+d)^(1/2)*B*a*d^2+5/64*e^4/(b*e*x+a*e)^5/b*(e*x+d)^(1/2)*B*d^3+3/128*e^5/b^3/(a^2*e^2-2*a*b*d*e+b^2*d^2)/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A+7/128*e^5/b^4/(a^2*e^2-2*a*b*d*e+b^2*d^2)/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*B-5/64*e^4/b^3/(a^2*e^2-2*a*b*d*e+b^2*d^2)/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*d","B"
1829,1,871,281,0.086000," ","int((B*x+A)*(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{3 \left(e x +d \right)^{\frac{9}{2}} A \,b^{2} e^{5}}{128 \left(b e x +a e \right)^{5} \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right)}+\frac{3 \left(e x +d \right)^{\frac{9}{2}} B a b \,e^{5}}{128 \left(b e x +a e \right)^{5} \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right)}-\frac{3 \left(e x +d \right)^{\frac{9}{2}} B \,b^{2} d \,e^{4}}{64 \left(b e x +a e \right)^{5} \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right)}+\frac{7 \left(e x +d \right)^{\frac{7}{2}} A b \,e^{5}}{64 \left(b e x +a e \right)^{5} \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right)}+\frac{7 \left(e x +d \right)^{\frac{7}{2}} B a \,e^{5}}{64 \left(b e x +a e \right)^{5} \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right)}-\frac{7 \left(e x +d \right)^{\frac{7}{2}} B b d \,e^{4}}{32 \left(b e x +a e \right)^{5} \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right)}-\frac{3 \sqrt{e x +d}\, A a \,e^{6}}{128 \left(b e x +a e \right)^{5} b^{2}}+\frac{3 \sqrt{e x +d}\, A d \,e^{5}}{128 \left(b e x +a e \right)^{5} b}+\frac{\left(e x +d \right)^{\frac{5}{2}} A \,e^{5}}{5 \left(b e x +a e \right)^{5} \left(a e -b d \right)}-\frac{3 \sqrt{e x +d}\, B \,a^{2} e^{6}}{128 \left(b e x +a e \right)^{5} b^{3}}-\frac{\left(e x +d \right)^{\frac{5}{2}} B a \,e^{5}}{5 \left(b e x +a e \right)^{5} \left(a e -b d \right) b}+\frac{9 \sqrt{e x +d}\, B a d \,e^{5}}{128 \left(b e x +a e \right)^{5} b^{2}}-\frac{3 \sqrt{e x +d}\, B \,d^{2} e^{4}}{64 \left(b e x +a e \right)^{5} b}-\frac{7 \left(e x +d \right)^{\frac{3}{2}} A \,e^{5}}{64 \left(b e x +a e \right)^{5} b}+\frac{3 A \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{128 \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right) \sqrt{\left(a e -b d \right) b}\, b^{2}}-\frac{7 \left(e x +d \right)^{\frac{3}{2}} B a \,e^{5}}{64 \left(b e x +a e \right)^{5} b^{2}}+\frac{3 B a \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{128 \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right) \sqrt{\left(a e -b d \right) b}\, b^{3}}+\frac{7 \left(e x +d \right)^{\frac{3}{2}} B d \,e^{4}}{32 \left(b e x +a e \right)^{5} b}-\frac{3 B d \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{64 \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right) \sqrt{\left(a e -b d \right) b}\, b^{2}}"," ",0,"3/128*e^5/(b*e*x+a*e)^5*b^2/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)*(e*x+d)^(9/2)*A+3/128*e^5/(b*e*x+a*e)^5*b/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)*(e*x+d)^(9/2)*a*B-3/64*e^4/(b*e*x+a*e)^5*b^2/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)*(e*x+d)^(9/2)*B*d+7/64*e^5/(b*e*x+a*e)^5/(a^2*e^2-2*a*b*d*e+b^2*d^2)*(e*x+d)^(7/2)*A*b+7/64*e^5/(b*e*x+a*e)^5/(a^2*e^2-2*a*b*d*e+b^2*d^2)*(e*x+d)^(7/2)*a*B-7/32*e^4/(b*e*x+a*e)^5/(a^2*e^2-2*a*b*d*e+b^2*d^2)*(e*x+d)^(7/2)*B*b*d+1/5*e^5/(b*e*x+a*e)^5/(a*e-b*d)*(e*x+d)^(5/2)*A-1/5*e^5/(b*e*x+a*e)^5/(a*e-b*d)/b*(e*x+d)^(5/2)*B*a-7/64*e^5/(b*e*x+a*e)^5/b*(e*x+d)^(3/2)*A-7/64*e^5/(b*e*x+a*e)^5/b^2*(e*x+d)^(3/2)*a*B+7/32*e^4/(b*e*x+a*e)^5/b*(e*x+d)^(3/2)*B*d-3/128*e^6/(b*e*x+a*e)^5/b^2*(e*x+d)^(1/2)*A*a+3/128*e^5/(b*e*x+a*e)^5/b*(e*x+d)^(1/2)*A*d-3/128*e^6/(b*e*x+a*e)^5/b^3*(e*x+d)^(1/2)*B*a^2+9/128*e^5/(b*e*x+a*e)^5/b^2*(e*x+d)^(1/2)*B*a*d-3/64*e^4/(b*e*x+a*e)^5/b*(e*x+d)^(1/2)*B*d^2+3/128*e^5/b^2/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A+3/128*e^5/b^3/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*B-3/64*e^4/b^2/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*d","B"
1830,1,1037,281,0.090000," ","int((B*x+A)*(e*x+d)^(1/2)/(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{7 \left(e x +d \right)^{\frac{9}{2}} A \,b^{3} e^{5}}{128 \left(b e x +a e \right)^{5} \left(a^{4} e^{4}-4 a^{3} b d \,e^{3}+6 a^{2} b^{2} d^{2} e^{2}-4 a \,b^{3} d^{3} e +b^{4} d^{4}\right)}+\frac{3 \left(e x +d \right)^{\frac{9}{2}} B a \,b^{2} e^{5}}{128 \left(b e x +a e \right)^{5} \left(a^{4} e^{4}-4 a^{3} b d \,e^{3}+6 a^{2} b^{2} d^{2} e^{2}-4 a \,b^{3} d^{3} e +b^{4} d^{4}\right)}-\frac{5 \left(e x +d \right)^{\frac{9}{2}} B \,b^{3} d \,e^{4}}{64 \left(b e x +a e \right)^{5} \left(a^{4} e^{4}-4 a^{3} b d \,e^{3}+6 a^{2} b^{2} d^{2} e^{2}-4 a \,b^{3} d^{3} e +b^{4} d^{4}\right)}+\frac{49 \left(e x +d \right)^{\frac{7}{2}} A \,b^{2} e^{5}}{192 \left(b e x +a e \right)^{5} \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right)}+\frac{7 \left(e x +d \right)^{\frac{7}{2}} B a b \,e^{5}}{64 \left(b e x +a e \right)^{5} \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right)}-\frac{35 \left(e x +d \right)^{\frac{7}{2}} B \,b^{2} d \,e^{4}}{96 \left(b e x +a e \right)^{5} \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right)}+\frac{7 \left(e x +d \right)^{\frac{5}{2}} A b \,e^{5}}{15 \left(b e x +a e \right)^{5} \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right)}+\frac{\left(e x +d \right)^{\frac{5}{2}} B a \,e^{5}}{5 \left(b e x +a e \right)^{5} \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right)}-\frac{2 \left(e x +d \right)^{\frac{5}{2}} B b d \,e^{4}}{3 \left(b e x +a e \right)^{5} \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right)}+\frac{7 A \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{128 \left(a^{4} e^{4}-4 a^{3} b d \,e^{3}+6 a^{2} b^{2} d^{2} e^{2}-4 a \,b^{3} d^{3} e +b^{4} d^{4}\right) \sqrt{\left(a e -b d \right) b}\, b}+\frac{79 \left(e x +d \right)^{\frac{3}{2}} A \,e^{5}}{192 \left(b e x +a e \right)^{5} \left(a e -b d \right)}-\frac{7 \left(e x +d \right)^{\frac{3}{2}} B a \,e^{5}}{64 \left(b e x +a e \right)^{5} \left(a e -b d \right) b}+\frac{3 B a \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{128 \left(a^{4} e^{4}-4 a^{3} b d \,e^{3}+6 a^{2} b^{2} d^{2} e^{2}-4 a \,b^{3} d^{3} e +b^{4} d^{4}\right) \sqrt{\left(a e -b d \right) b}\, b^{2}}-\frac{5 B d \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{64 \left(a^{4} e^{4}-4 a^{3} b d \,e^{3}+6 a^{2} b^{2} d^{2} e^{2}-4 a \,b^{3} d^{3} e +b^{4} d^{4}\right) \sqrt{\left(a e -b d \right) b}\, b}-\frac{29 \left(e x +d \right)^{\frac{3}{2}} B d \,e^{4}}{96 \left(b e x +a e \right)^{5} \left(a e -b d \right)}-\frac{7 \sqrt{e x +d}\, A \,e^{5}}{128 \left(b e x +a e \right)^{5} b}-\frac{3 \sqrt{e x +d}\, B a \,e^{5}}{128 \left(b e x +a e \right)^{5} b^{2}}+\frac{5 \sqrt{e x +d}\, B d \,e^{4}}{64 \left(b e x +a e \right)^{5} b}"," ",0,"7/128*e^5/(b*e*x+a*e)^5*b^3/(a^4*e^4-4*a^3*b*d*e^3+6*a^2*b^2*d^2*e^2-4*a*b^3*d^3*e+b^4*d^4)*(e*x+d)^(9/2)*A+3/128*e^5/(b*e*x+a*e)^5*b^2/(a^4*e^4-4*a^3*b*d*e^3+6*a^2*b^2*d^2*e^2-4*a*b^3*d^3*e+b^4*d^4)*(e*x+d)^(9/2)*a*B-5/64*e^4/(b*e*x+a*e)^5*b^3/(a^4*e^4-4*a^3*b*d*e^3+6*a^2*b^2*d^2*e^2-4*a*b^3*d^3*e+b^4*d^4)*(e*x+d)^(9/2)*B*d+49/192*e^5/(b*e*x+a*e)^5*b^2/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)*(e*x+d)^(7/2)*A+7/64*e^5/(b*e*x+a*e)^5*b/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)*(e*x+d)^(7/2)*a*B-35/96*e^4/(b*e*x+a*e)^5*b^2/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)*(e*x+d)^(7/2)*B*d+7/15*e^5/(b*e*x+a*e)^5/(a^2*e^2-2*a*b*d*e+b^2*d^2)*(e*x+d)^(5/2)*A*b+1/5*e^5/(b*e*x+a*e)^5/(a^2*e^2-2*a*b*d*e+b^2*d^2)*(e*x+d)^(5/2)*a*B-2/3*e^4/(b*e*x+a*e)^5/(a^2*e^2-2*a*b*d*e+b^2*d^2)*(e*x+d)^(5/2)*B*b*d+79/192*e^5/(b*e*x+a*e)^5/(a*e-b*d)*(e*x+d)^(3/2)*A-7/64*e^5/(b*e*x+a*e)^5/b/(a*e-b*d)*(e*x+d)^(3/2)*a*B-29/96*e^4/(b*e*x+a*e)^5/(a*e-b*d)*(e*x+d)^(3/2)*B*d-7/128*e^5/(b*e*x+a*e)^5/b*(e*x+d)^(1/2)*A-3/128*e^5/(b*e*x+a*e)^5/b^2*(e*x+d)^(1/2)*a*B+5/64*e^4/(b*e*x+a*e)^5/b*(e*x+d)^(1/2)*B*d+7/128*e^5/b/(a^4*e^4-4*a^3*b*d*e^3+6*a^2*b^2*d^2*e^2-4*a*b^3*d^3*e+b^4*d^4)/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A+3/128*e^5/b^2/(a^4*e^4-4*a^3*b*d*e^3+6*a^2*b^2*d^2*e^2-4*a*b^3*d^3*e+b^4*d^4)/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*B-5/64*e^4/b/(a^4*e^4-4*a^3*b*d*e^3+6*a^2*b^2*d^2*e^2-4*a*b^3*d^3*e+b^4*d^4)/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*d","B"
1831,1,1274,281,0.075000," ","int((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(1/2),x)","\frac{63 \left(e x +d \right)^{\frac{9}{2}} A \,b^{4} e^{5}}{128 \left(b e x +a e \right)^{5} \left(a^{5} e^{5}-5 a^{4} b d \,e^{4}+10 a^{3} b^{2} d^{2} e^{3}-10 a^{2} b^{3} d^{3} e^{2}+5 a \,b^{4} d^{4} e -b^{5} d^{5}\right)}+\frac{7 \left(e x +d \right)^{\frac{9}{2}} B a \,b^{3} e^{5}}{128 \left(b e x +a e \right)^{5} \left(a^{5} e^{5}-5 a^{4} b d \,e^{4}+10 a^{3} b^{2} d^{2} e^{3}-10 a^{2} b^{3} d^{3} e^{2}+5 a \,b^{4} d^{4} e -b^{5} d^{5}\right)}-\frac{35 \left(e x +d \right)^{\frac{9}{2}} B \,b^{4} d \,e^{4}}{64 \left(b e x +a e \right)^{5} \left(a^{5} e^{5}-5 a^{4} b d \,e^{4}+10 a^{3} b^{2} d^{2} e^{3}-10 a^{2} b^{3} d^{3} e^{2}+5 a \,b^{4} d^{4} e -b^{5} d^{5}\right)}+\frac{147 \left(e x +d \right)^{\frac{7}{2}} A \,b^{3} e^{5}}{64 \left(b e x +a e \right)^{5} \left(a^{4} e^{4}-4 a^{3} b d \,e^{3}+6 a^{2} b^{2} d^{2} e^{2}-4 a \,b^{3} d^{3} e +b^{4} d^{4}\right)}+\frac{49 \left(e x +d \right)^{\frac{7}{2}} B a \,b^{2} e^{5}}{192 \left(b e x +a e \right)^{5} \left(a^{4} e^{4}-4 a^{3} b d \,e^{3}+6 a^{2} b^{2} d^{2} e^{2}-4 a \,b^{3} d^{3} e +b^{4} d^{4}\right)}-\frac{245 \left(e x +d \right)^{\frac{7}{2}} B \,b^{3} d \,e^{4}}{96 \left(b e x +a e \right)^{5} \left(a^{4} e^{4}-4 a^{3} b d \,e^{3}+6 a^{2} b^{2} d^{2} e^{2}-4 a \,b^{3} d^{3} e +b^{4} d^{4}\right)}+\frac{21 \left(e x +d \right)^{\frac{5}{2}} A \,b^{2} e^{5}}{5 \left(b e x +a e \right)^{5} \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right)}+\frac{7 \left(e x +d \right)^{\frac{5}{2}} B a b \,e^{5}}{15 \left(b e x +a e \right)^{5} \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right)}-\frac{14 \left(e x +d \right)^{\frac{5}{2}} B \,b^{2} d \,e^{4}}{3 \left(b e x +a e \right)^{5} \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right)}+\frac{237 \left(e x +d \right)^{\frac{3}{2}} A b \,e^{5}}{64 \left(b e x +a e \right)^{5} \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right)}+\frac{63 A \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{128 \left(a^{5} e^{5}-5 a^{4} b d \,e^{4}+10 a^{3} b^{2} d^{2} e^{3}-10 a^{2} b^{3} d^{3} e^{2}+5 a \,b^{4} d^{4} e -b^{5} d^{5}\right) \sqrt{\left(a e -b d \right) b}}+\frac{7 B a \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{128 \left(a^{5} e^{5}-5 a^{4} b d \,e^{4}+10 a^{3} b^{2} d^{2} e^{3}-10 a^{2} b^{3} d^{3} e^{2}+5 a \,b^{4} d^{4} e -b^{5} d^{5}\right) \sqrt{\left(a e -b d \right) b}\, b}+\frac{79 \left(e x +d \right)^{\frac{3}{2}} B a \,e^{5}}{192 \left(b e x +a e \right)^{5} \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right)}-\frac{395 \left(e x +d \right)^{\frac{3}{2}} B b d \,e^{4}}{96 \left(b e x +a e \right)^{5} \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right)}-\frac{35 B d \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{64 \left(a^{5} e^{5}-5 a^{4} b d \,e^{4}+10 a^{3} b^{2} d^{2} e^{3}-10 a^{2} b^{3} d^{3} e^{2}+5 a \,b^{4} d^{4} e -b^{5} d^{5}\right) \sqrt{\left(a e -b d \right) b}}+\frac{193 \sqrt{e x +d}\, A \,e^{5}}{128 \left(b e x +a e \right)^{5} \left(a e -b d \right)}-\frac{7 \sqrt{e x +d}\, B a \,e^{5}}{128 \left(b e x +a e \right)^{5} \left(a e -b d \right) b}-\frac{93 \sqrt{e x +d}\, B d \,e^{4}}{64 \left(b e x +a e \right)^{5} \left(a e -b d \right)}"," ",0,"63/128*e^5/(b*e*x+a*e)^5*b^4/(a^5*e^5-5*a^4*b*d*e^4+10*a^3*b^2*d^2*e^3-10*a^2*b^3*d^3*e^2+5*a*b^4*d^4*e-b^5*d^5)*(e*x+d)^(9/2)*A+7/128*e^5/(b*e*x+a*e)^5*b^3/(a^5*e^5-5*a^4*b*d*e^4+10*a^3*b^2*d^2*e^3-10*a^2*b^3*d^3*e^2+5*a*b^4*d^4*e-b^5*d^5)*(e*x+d)^(9/2)*a*B-35/64*e^4/(b*e*x+a*e)^5*b^4/(a^5*e^5-5*a^4*b*d*e^4+10*a^3*b^2*d^2*e^3-10*a^2*b^3*d^3*e^2+5*a*b^4*d^4*e-b^5*d^5)*(e*x+d)^(9/2)*B*d+147/64*e^5/(b*e*x+a*e)^5*b^3/(a^4*e^4-4*a^3*b*d*e^3+6*a^2*b^2*d^2*e^2-4*a*b^3*d^3*e+b^4*d^4)*(e*x+d)^(7/2)*A+49/192*e^5/(b*e*x+a*e)^5*b^2/(a^4*e^4-4*a^3*b*d*e^3+6*a^2*b^2*d^2*e^2-4*a*b^3*d^3*e+b^4*d^4)*(e*x+d)^(7/2)*a*B-245/96*e^4/(b*e*x+a*e)^5*b^3/(a^4*e^4-4*a^3*b*d*e^3+6*a^2*b^2*d^2*e^2-4*a*b^3*d^3*e+b^4*d^4)*(e*x+d)^(7/2)*B*d+21/5*e^5/(b*e*x+a*e)^5*b^2/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)*(e*x+d)^(5/2)*A+7/15*e^5/(b*e*x+a*e)^5*b/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)*(e*x+d)^(5/2)*a*B-14/3*e^4/(b*e*x+a*e)^5*b^2/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)*(e*x+d)^(5/2)*B*d+237/64*e^5/(b*e*x+a*e)^5/(a^2*e^2-2*a*b*d*e+b^2*d^2)*(e*x+d)^(3/2)*A*b+79/192*e^5/(b*e*x+a*e)^5/(a^2*e^2-2*a*b*d*e+b^2*d^2)*(e*x+d)^(3/2)*a*B-395/96*e^4/(b*e*x+a*e)^5/(a^2*e^2-2*a*b*d*e+b^2*d^2)*(e*x+d)^(3/2)*B*b*d+193/128*e^5/(b*e*x+a*e)^5/(a*e-b*d)*(e*x+d)^(1/2)*A-7/128*e^5/(b*e*x+a*e)^5/b/(a*e-b*d)*(e*x+d)^(1/2)*a*B-93/64*e^4/(b*e*x+a*e)^5/(a*e-b*d)*(e*x+d)^(1/2)*B*d+63/128*e^5/(a^5*e^5-5*a^4*b*d*e^4+10*a^3*b^2*d^2*e^3-10*a^2*b^3*d^3*e^2+5*a*b^4*d^4*e-b^5*d^5)/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A+7/128*e^5/b/(a^5*e^5-5*a^4*b*d*e^4+10*a^3*b^2*d^2*e^3-10*a^2*b^3*d^3*e^2+5*a*b^4*d^4*e-b^5*d^5)/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*B-35/64*e^4/(a^5*e^5-5*a^4*b*d*e^4+10*a^3*b^2*d^2*e^3-10*a^2*b^3*d^3*e^2+5*a*b^4*d^4*e-b^5*d^5)/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*d","B"
1832,1,1568,317,0.093000," ","int((B*x+A)/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^3,x)","-\frac{843 \sqrt{e x +d}\, A \,a^{4} b \,e^{9}}{128 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}+\frac{843 \sqrt{e x +d}\, A \,a^{3} b^{2} d \,e^{8}}{32 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}-\frac{2529 \sqrt{e x +d}\, A \,a^{2} b^{3} d^{2} e^{7}}{64 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}+\frac{843 \sqrt{e x +d}\, A a \,b^{4} d^{3} e^{6}}{32 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}-\frac{843 \sqrt{e x +d}\, A \,b^{5} d^{4} e^{5}}{128 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}+\frac{193 \sqrt{e x +d}\, B \,a^{5} e^{9}}{128 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}-\frac{61 \sqrt{e x +d}\, B \,a^{4} b d \,e^{8}}{64 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}-\frac{721 \sqrt{e x +d}\, B \,a^{3} b^{2} d^{2} e^{7}}{64 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}+\frac{391 \sqrt{e x +d}\, B \,a^{2} b^{3} d^{3} e^{6}}{16 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}-\frac{2407 \sqrt{e x +d}\, B a \,b^{4} d^{4} e^{5}}{128 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}+\frac{325 \sqrt{e x +d}\, B \,b^{5} d^{5} e^{4}}{64 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}-\frac{1327 \left(e x +d \right)^{\frac{3}{2}} A \,a^{3} b^{2} e^{8}}{64 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}+\frac{3981 \left(e x +d \right)^{\frac{3}{2}} A \,a^{2} b^{3} d \,e^{7}}{64 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}-\frac{3981 \left(e x +d \right)^{\frac{3}{2}} A a \,b^{4} d^{2} e^{6}}{64 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}+\frac{1327 \left(e x +d \right)^{\frac{3}{2}} A \,b^{5} d^{3} e^{5}}{64 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}+\frac{237 \left(e x +d \right)^{\frac{3}{2}} B \,a^{4} b \,e^{8}}{64 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}+\frac{379 \left(e x +d \right)^{\frac{3}{2}} B \,a^{3} b^{2} d \,e^{7}}{64 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}-\frac{2559 \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} b^{3} d^{2} e^{6}}{64 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}+\frac{3033 \left(e x +d \right)^{\frac{3}{2}} B a \,b^{4} d^{3} e^{5}}{64 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}-\frac{545 \left(e x +d \right)^{\frac{3}{2}} B \,b^{5} d^{4} e^{4}}{32 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}-\frac{131 \left(e x +d \right)^{\frac{5}{2}} A \,a^{2} b^{3} e^{7}}{5 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}+\frac{262 \left(e x +d \right)^{\frac{5}{2}} A a \,b^{4} d \,e^{6}}{5 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}-\frac{131 \left(e x +d \right)^{\frac{5}{2}} A \,b^{5} d^{2} e^{5}}{5 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}+\frac{21 \left(e x +d \right)^{\frac{5}{2}} B \,a^{3} b^{2} e^{7}}{5 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}+\frac{68 \left(e x +d \right)^{\frac{5}{2}} B \,a^{2} b^{3} d \,e^{6}}{5 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}-\frac{199 \left(e x +d \right)^{\frac{5}{2}} B a \,b^{4} d^{2} e^{5}}{5 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}+\frac{22 \left(e x +d \right)^{\frac{5}{2}} B \,b^{5} d^{3} e^{4}}{\left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}-\frac{977 \left(e x +d \right)^{\frac{7}{2}} A a \,b^{4} e^{6}}{64 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}+\frac{977 \left(e x +d \right)^{\frac{7}{2}} A \,b^{5} d \,e^{5}}{64 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}+\frac{147 \left(e x +d \right)^{\frac{7}{2}} B \,a^{2} b^{3} e^{6}}{64 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}+\frac{683 \left(e x +d \right)^{\frac{7}{2}} B a \,b^{4} d \,e^{5}}{64 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}-\frac{415 \left(e x +d \right)^{\frac{7}{2}} B \,b^{5} d^{2} e^{4}}{32 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}-\frac{437 \left(e x +d \right)^{\frac{9}{2}} A \,b^{5} e^{5}}{128 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}+\frac{63 \left(e x +d \right)^{\frac{9}{2}} B a \,b^{4} e^{5}}{128 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}+\frac{187 \left(e x +d \right)^{\frac{9}{2}} B \,b^{5} d \,e^{4}}{64 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{5}}-\frac{693 A b \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{128 \left(a e -b d \right)^{6} \sqrt{\left(a e -b d \right) b}}+\frac{63 B a \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{128 \left(a e -b d \right)^{6} \sqrt{\left(a e -b d \right) b}}+\frac{315 B b d \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{64 \left(a e -b d \right)^{6} \sqrt{\left(a e -b d \right) b}}-\frac{2 A \,e^{5}}{\left(a e -b d \right)^{6} \sqrt{e x +d}}+\frac{2 B d \,e^{4}}{\left(a e -b d \right)^{6} \sqrt{e x +d}}"," ",0,"843/32*e^6/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*a*b^4*d^3+843/32*e^8/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*a^3*b^2*d+379/64*e^7/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(3/2)*B*a^3*b^2*d-2559/64*e^6/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(3/2)*B*a^2*b^3*d^2+3033/64*e^5/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(3/2)*B*a*b^4*d^3+3981/64*e^7/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(3/2)*A*a^2*b^3*d-3981/64*e^6/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(3/2)*A*a*b^4*d^2-199/5*e^5/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(5/2)*B*a*b^4*d^2+262/5*e^6/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(5/2)*A*a*b^4*d+683/64*e^5/(a*e-b*d)^6/(b*e*x+a*e)^5*B*(e*x+d)^(7/2)*a*b^4*d-61/64*e^8/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a^4*b*d-721/64*e^7/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a^3*b^2*d^2+391/16*e^6/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a^2*b^3*d^3-2529/64*e^7/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*a^2*b^3*d^2+68/5*e^6/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(5/2)*B*a^2*b^3*d-2407/128*e^5/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a*b^4*d^4-2*e^5/(a*e-b*d)^6/(e*x+d)^(1/2)*A+2*e^4/(a*e-b*d)^6/(e*x+d)^(1/2)*B*d-437/128*e^5/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(9/2)*A*b^5-693/128*e^5/(a*e-b*d)^6/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*b+63/128*e^5/(a*e-b*d)^6/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*B+193/128*e^9/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a^5+1327/64*e^5/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(3/2)*A*b^5*d^3+237/64*e^8/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(3/2)*B*a^4*b-843/128*e^9/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*a^4*b-843/128*e^5/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*b^5*d^4-977/64*e^6/(a*e-b*d)^6/(b*e*x+a*e)^5*A*(e*x+d)^(7/2)*a*b^4+977/64*e^5/(a*e-b*d)^6/(b*e*x+a*e)^5*A*(e*x+d)^(7/2)*b^5*d+147/64*e^6/(a*e-b*d)^6/(b*e*x+a*e)^5*B*(e*x+d)^(7/2)*a^2*b^3+22*e^4/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(5/2)*B*b^5*d^3-545/32*e^4/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(3/2)*B*b^5*d^4+325/64*e^4/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*b^5*d^5-415/32*e^4/(a*e-b*d)^6/(b*e*x+a*e)^5*B*(e*x+d)^(7/2)*b^5*d^2+63/128*e^5/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(9/2)*B*a*b^4-131/5*e^7/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(5/2)*A*a^2*b^3-131/5*e^5/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(5/2)*A*b^5*d^2+21/5*e^7/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(5/2)*B*a^3*b^2-1327/64*e^8/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(3/2)*A*a^3*b^2+187/64*e^4/(a*e-b*d)^6/(b*e*x+a*e)^5*(e*x+d)^(9/2)*B*b^5*d+315/64*e^4/(a*e-b*d)^6/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*b*d","B"
1833,1,1653,360,0.093000," ","int((B*x+A)/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{2373 \sqrt{e x +d}\, A \,a^{4} b^{2} e^{9}}{128 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}-\frac{2373 \sqrt{e x +d}\, A \,a^{3} b^{3} d \,e^{8}}{32 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}+\frac{7119 \sqrt{e x +d}\, A \,a^{2} b^{4} d^{2} e^{7}}{64 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}-\frac{2373 \sqrt{e x +d}\, A a \,b^{5} d^{3} e^{6}}{32 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}+\frac{2373 \sqrt{e x +d}\, A \,b^{6} d^{4} e^{5}}{128 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}-\frac{843 \sqrt{e x +d}\, B \,a^{5} b \,e^{9}}{128 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}+\frac{921 \sqrt{e x +d}\, B \,a^{4} b^{2} d \,e^{8}}{64 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}+\frac{531 \sqrt{e x +d}\, B \,a^{3} b^{3} d^{2} e^{7}}{64 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}-\frac{363 \sqrt{e x +d}\, B \,a^{2} b^{4} d^{3} e^{6}}{8 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}+\frac{5277 \sqrt{e x +d}\, B a \,b^{5} d^{4} e^{5}}{128 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}-\frac{765 \sqrt{e x +d}\, B \,b^{6} d^{5} e^{4}}{64 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}+\frac{12131 \left(e x +d \right)^{\frac{3}{2}} A \,a^{3} b^{3} e^{8}}{192 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}-\frac{12131 \left(e x +d \right)^{\frac{3}{2}} A \,a^{2} b^{4} d \,e^{7}}{64 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}+\frac{12131 \left(e x +d \right)^{\frac{3}{2}} A a \,b^{5} d^{2} e^{6}}{64 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}-\frac{12131 \left(e x +d \right)^{\frac{3}{2}} A \,b^{6} d^{3} e^{5}}{192 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}-\frac{1327 \left(e x +d \right)^{\frac{3}{2}} B \,a^{4} b^{2} e^{8}}{64 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}+\frac{3793 \left(e x +d \right)^{\frac{3}{2}} B \,a^{3} b^{3} d \,e^{7}}{192 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}+\frac{4169 \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} b^{4} d^{2} e^{6}}{64 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}-\frac{6823 \left(e x +d \right)^{\frac{3}{2}} B a \,b^{5} d^{3} e^{5}}{64 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}+\frac{4075 \left(e x +d \right)^{\frac{3}{2}} B \,b^{6} d^{4} e^{4}}{96 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}+\frac{1253 \left(e x +d \right)^{\frac{5}{2}} A \,a^{2} b^{4} e^{7}}{15 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}-\frac{2506 \left(e x +d \right)^{\frac{5}{2}} A a \,b^{5} d \,e^{6}}{15 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}+\frac{1253 \left(e x +d \right)^{\frac{5}{2}} A \,b^{6} d^{2} e^{5}}{15 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}-\frac{131 \left(e x +d \right)^{\frac{5}{2}} B \,a^{3} b^{3} e^{7}}{5 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}-\frac{74 \left(e x +d \right)^{\frac{5}{2}} B \,a^{2} b^{4} d \,e^{6}}{15 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}+\frac{1327 \left(e x +d \right)^{\frac{5}{2}} B a \,b^{5} d^{2} e^{5}}{15 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}-\frac{172 \left(e x +d \right)^{\frac{5}{2}} B \,b^{6} d^{3} e^{4}}{3 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}+\frac{9629 \left(e x +d \right)^{\frac{7}{2}} A a \,b^{5} e^{6}}{192 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}-\frac{9629 \left(e x +d \right)^{\frac{7}{2}} A \,b^{6} d \,e^{5}}{192 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}-\frac{977 \left(e x +d \right)^{\frac{7}{2}} B \,a^{2} b^{4} e^{6}}{64 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}-\frac{3767 \left(e x +d \right)^{\frac{7}{2}} B a \,b^{5} d \,e^{5}}{192 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}+\frac{3349 \left(e x +d \right)^{\frac{7}{2}} B \,b^{6} d^{2} e^{4}}{96 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}+\frac{1467 \left(e x +d \right)^{\frac{9}{2}} A \,b^{6} e^{5}}{128 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}-\frac{437 \left(e x +d \right)^{\frac{9}{2}} B a \,b^{5} e^{5}}{128 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}-\frac{515 \left(e x +d \right)^{\frac{9}{2}} B \,b^{6} d \,e^{4}}{64 \left(a e -b d \right)^{7} \left(b e x +a e \right)^{5}}+\frac{3003 A \,b^{2} e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{128 \left(a e -b d \right)^{7} \sqrt{\left(a e -b d \right) b}}-\frac{693 B a b \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{128 \left(a e -b d \right)^{7} \sqrt{\left(a e -b d \right) b}}-\frac{1155 B \,b^{2} d \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{64 \left(a e -b d \right)^{7} \sqrt{\left(a e -b d \right) b}}+\frac{12 A b \,e^{5}}{\left(a e -b d \right)^{7} \sqrt{e x +d}}-\frac{2 B a \,e^{5}}{\left(a e -b d \right)^{7} \sqrt{e x +d}}-\frac{10 B b d \,e^{4}}{\left(a e -b d \right)^{7} \sqrt{e x +d}}-\frac{2 A \,e^{5}}{3 \left(a e -b d \right)^{6} \left(e x +d \right)^{\frac{3}{2}}}+\frac{2 B d \,e^{4}}{3 \left(a e -b d \right)^{6} \left(e x +d \right)^{\frac{3}{2}}}"," ",0,"3793/192*e^7/(a*e-b*d)^7*b^3/(b*e*x+a*e)^5*(e*x+d)^(3/2)*B*a^3*d+531/64*e^7/(a*e-b*d)^7*b^3/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a^3*d^2+4169/64*e^6/(a*e-b*d)^7*b^4/(b*e*x+a*e)^5*(e*x+d)^(3/2)*B*a^2*d^2-6823/64*e^5/(a*e-b*d)^7*b^5/(b*e*x+a*e)^5*(e*x+d)^(3/2)*B*a*d^3-363/8*e^6/(a*e-b*d)^7*b^4/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a^2*d^3+5277/128*e^5/(a*e-b*d)^7*b^5/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a*d^4+7119/64*e^7/(a*e-b*d)^7*b^4/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*a^2*d^2-2373/32*e^6/(a*e-b*d)^7*b^5/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*a*d^3-2506/15*e^6/(a*e-b*d)^7*b^5/(b*e*x+a*e)^5*(e*x+d)^(5/2)*A*a*d-74/15*e^6/(a*e-b*d)^7*b^4/(b*e*x+a*e)^5*(e*x+d)^(5/2)*B*a^2*d+921/64*e^8/(a*e-b*d)^7*b^2/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a^4*d-12131/64*e^7/(a*e-b*d)^7*b^4/(b*e*x+a*e)^5*(e*x+d)^(3/2)*A*a^2*d+12131/64*e^6/(a*e-b*d)^7*b^5/(b*e*x+a*e)^5*(e*x+d)^(3/2)*A*a*d^2-2373/32*e^8/(a*e-b*d)^7*b^3/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*a^3*d-3767/192*e^5/(a*e-b*d)^7*b^5/(b*e*x+a*e)^5*B*(e*x+d)^(7/2)*a*d+1327/15*e^5/(a*e-b*d)^7*b^5/(b*e*x+a*e)^5*(e*x+d)^(5/2)*B*a*d^2-2/3*e^5/(a*e-b*d)^6/(e*x+d)^(3/2)*A+2/3*e^4/(a*e-b*d)^6/(e*x+d)^(3/2)*B*d+12*e^5/(a*e-b*d)^7/(e*x+d)^(1/2)*A*b-2*e^5/(a*e-b*d)^7/(e*x+d)^(1/2)*a*B-10*e^4/(a*e-b*d)^7/(e*x+d)^(1/2)*B*b*d+3003/128*e^5/(a*e-b*d)^7*b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A+1467/128*e^5/(a*e-b*d)^7*b^6/(b*e*x+a*e)^5*(e*x+d)^(9/2)*A+12131/192*e^8/(a*e-b*d)^7*b^3/(b*e*x+a*e)^5*(e*x+d)^(3/2)*A*a^3-12131/192*e^5/(a*e-b*d)^7*b^6/(b*e*x+a*e)^5*(e*x+d)^(3/2)*A*d^3-1155/64*e^4/(a*e-b*d)^7*b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*d-515/64*e^4/(a*e-b*d)^7*b^6/(b*e*x+a*e)^5*(e*x+d)^(9/2)*B*d-765/64*e^4/(a*e-b*d)^7*b^6/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*d^5+3349/96*e^4/(a*e-b*d)^7*b^6/(b*e*x+a*e)^5*B*(e*x+d)^(7/2)*d^2-1327/64*e^8/(a*e-b*d)^7*b^2/(b*e*x+a*e)^5*(e*x+d)^(3/2)*B*a^4+2373/128*e^9/(a*e-b*d)^7*b^2/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*a^4+2373/128*e^5/(a*e-b*d)^7*b^6/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*d^4+9629/192*e^6/(a*e-b*d)^7*b^5/(b*e*x+a*e)^5*A*(e*x+d)^(7/2)*a-9629/192*e^5/(a*e-b*d)^7*b^6/(b*e*x+a*e)^5*A*(e*x+d)^(7/2)*d-977/64*e^6/(a*e-b*d)^7*b^4/(b*e*x+a*e)^5*B*(e*x+d)^(7/2)*a^2-172/3*e^4/(a*e-b*d)^7*b^6/(b*e*x+a*e)^5*(e*x+d)^(5/2)*B*d^3+4075/96*e^4/(a*e-b*d)^7*b^6/(b*e*x+a*e)^5*(e*x+d)^(3/2)*B*d^4-693/128*e^5/(a*e-b*d)^7*b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*B-843/128*e^9/(a*e-b*d)^7*b/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a^5-437/128*e^5/(a*e-b*d)^7*b^5/(b*e*x+a*e)^5*(e*x+d)^(9/2)*B*a+1253/15*e^7/(a*e-b*d)^7*b^4/(b*e*x+a*e)^5*(e*x+d)^(5/2)*A*a^2+1253/15*e^5/(a*e-b*d)^7*b^6/(b*e*x+a*e)^5*(e*x+d)^(5/2)*A*d^2-131/5*e^7/(a*e-b*d)^7*b^3/(b*e*x+a*e)^5*(e*x+d)^(5/2)*B*a^3","B"
1834,1,1735,392,0.098000," ","int((B*x+A)/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^3,x)","-\frac{5327 \sqrt{e x +d}\, A \,a^{4} b^{3} e^{9}}{128 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}+\frac{5327 \sqrt{e x +d}\, A \,a^{3} b^{4} d \,e^{8}}{32 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}-\frac{15981 \sqrt{e x +d}\, A \,a^{2} b^{5} d^{2} e^{7}}{64 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}+\frac{5327 \sqrt{e x +d}\, A a \,b^{6} d^{3} e^{6}}{32 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}-\frac{5327 \sqrt{e x +d}\, A \,b^{7} d^{4} e^{5}}{128 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}+\frac{2373 \sqrt{e x +d}\, B \,a^{5} b^{2} e^{9}}{128 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}-\frac{3269 \sqrt{e x +d}\, B \,a^{4} b^{3} d \,e^{8}}{64 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}+\frac{1211 \sqrt{e x +d}\, B \,a^{3} b^{4} d^{2} e^{7}}{64 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}+\frac{1029 \sqrt{e x +d}\, B \,a^{2} b^{5} d^{3} e^{6}}{16 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}-\frac{9443 \sqrt{e x +d}\, B a \,b^{6} d^{4} e^{5}}{128 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}+\frac{1477 \sqrt{e x +d}\, B \,b^{7} d^{5} e^{4}}{64 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}-\frac{9443 \left(e x +d \right)^{\frac{3}{2}} A \,a^{3} b^{4} e^{8}}{64 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}+\frac{28329 \left(e x +d \right)^{\frac{3}{2}} A \,a^{2} b^{5} d \,e^{7}}{64 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}-\frac{28329 \left(e x +d \right)^{\frac{3}{2}} A a \,b^{6} d^{2} e^{6}}{64 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}+\frac{9443 \left(e x +d \right)^{\frac{3}{2}} A \,b^{7} d^{3} e^{5}}{64 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}+\frac{12131 \left(e x +d \right)^{\frac{3}{2}} B \,a^{4} b^{3} e^{8}}{192 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}-\frac{20195 \left(e x +d \right)^{\frac{3}{2}} B \,a^{3} b^{4} d \,e^{7}}{192 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}-\frac{4067 \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} b^{5} d^{2} e^{6}}{64 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}+\frac{36463 \left(e x +d \right)^{\frac{3}{2}} B a \,b^{6} d^{3} e^{5}}{192 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}-\frac{8099 \left(e x +d \right)^{\frac{3}{2}} B \,b^{7} d^{4} e^{4}}{96 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}-\frac{1001 \left(e x +d \right)^{\frac{5}{2}} A \,a^{2} b^{5} e^{7}}{5 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}+\frac{2002 \left(e x +d \right)^{\frac{5}{2}} A a \,b^{6} d \,e^{6}}{5 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}-\frac{1001 \left(e x +d \right)^{\frac{5}{2}} A \,b^{7} d^{2} e^{5}}{5 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}+\frac{1253 \left(e x +d \right)^{\frac{5}{2}} B \,a^{3} b^{4} e^{7}}{15 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}-\frac{252 \left(e x +d \right)^{\frac{5}{2}} B \,a^{2} b^{5} d \,e^{6}}{5 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}-\frac{749 \left(e x +d \right)^{\frac{5}{2}} B a \,b^{6} d^{2} e^{5}}{5 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}+\frac{350 \left(e x +d \right)^{\frac{5}{2}} B \,b^{7} d^{3} e^{4}}{3 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}-\frac{7837 \left(e x +d \right)^{\frac{7}{2}} A a \,b^{6} e^{6}}{64 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}+\frac{7837 \left(e x +d \right)^{\frac{7}{2}} A \,b^{7} d \,e^{5}}{64 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}+\frac{9629 \left(e x +d \right)^{\frac{7}{2}} B \,a^{2} b^{5} e^{6}}{192 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}+\frac{4253 \left(e x +d \right)^{\frac{7}{2}} B a \,b^{6} d \,e^{5}}{192 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}-\frac{6941 \left(e x +d \right)^{\frac{7}{2}} B \,b^{7} d^{2} e^{4}}{96 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}-\frac{3633 \left(e x +d \right)^{\frac{9}{2}} A \,b^{7} e^{5}}{128 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}+\frac{1467 \left(e x +d \right)^{\frac{9}{2}} B a \,b^{6} e^{5}}{128 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}+\frac{1083 \left(e x +d \right)^{\frac{9}{2}} B \,b^{7} d \,e^{4}}{64 \left(a e -b d \right)^{8} \left(b e x +a e \right)^{5}}-\frac{9009 A \,b^{3} e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{128 \left(a e -b d \right)^{8} \sqrt{\left(a e -b d \right) b}}+\frac{3003 B a \,b^{2} e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{128 \left(a e -b d \right)^{8} \sqrt{\left(a e -b d \right) b}}+\frac{3003 B \,b^{3} d \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{64 \left(a e -b d \right)^{8} \sqrt{\left(a e -b d \right) b}}-\frac{42 A \,b^{2} e^{5}}{\left(a e -b d \right)^{8} \sqrt{e x +d}}+\frac{12 B a b \,e^{5}}{\left(a e -b d \right)^{8} \sqrt{e x +d}}+\frac{30 B \,b^{2} d \,e^{4}}{\left(a e -b d \right)^{8} \sqrt{e x +d}}+\frac{4 A b \,e^{5}}{\left(a e -b d \right)^{7} \left(e x +d \right)^{\frac{3}{2}}}-\frac{2 B a \,e^{5}}{3 \left(a e -b d \right)^{7} \left(e x +d \right)^{\frac{3}{2}}}-\frac{10 B b d \,e^{4}}{3 \left(a e -b d \right)^{7} \left(e x +d \right)^{\frac{3}{2}}}-\frac{2 A \,e^{5}}{5 \left(a e -b d \right)^{6} \left(e x +d \right)^{\frac{5}{2}}}+\frac{2 B d \,e^{4}}{5 \left(a e -b d \right)^{6} \left(e x +d \right)^{\frac{5}{2}}}"," ",0,"-20195/192*e^7/(a*e-b*d)^8*b^4/(b*e*x+a*e)^5*(e*x+d)^(3/2)*B*a^3*d+5327/32*e^6/(a*e-b*d)^8*b^6/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*a*d^3-9443/128*e^5/(a*e-b*d)^8*b^6/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a*d^4+4253/192*e^5/(a*e-b*d)^8*b^6/(b*e*x+a*e)^5*B*(e*x+d)^(7/2)*a*d-749/5*e^5/(a*e-b*d)^8*b^6/(b*e*x+a*e)^5*(e*x+d)^(5/2)*B*a*d^2-3269/64*e^8/(a*e-b*d)^8*b^3/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a^4*d+36463/192*e^5/(a*e-b*d)^8*b^6/(b*e*x+a*e)^5*(e*x+d)^(3/2)*B*a*d^3+5327/32*e^8/(a*e-b*d)^8*b^4/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*a^3*d-15981/64*e^7/(a*e-b*d)^8*b^5/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*a^2*d^2+1029/16*e^6/(a*e-b*d)^8*b^5/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a^2*d^3+1211/64*e^7/(a*e-b*d)^8*b^4/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a^3*d^2+28329/64*e^7/(a*e-b*d)^8*b^5/(b*e*x+a*e)^5*(e*x+d)^(3/2)*A*a^2*d-4067/64*e^6/(a*e-b*d)^8*b^5/(b*e*x+a*e)^5*(e*x+d)^(3/2)*B*a^2*d^2+2002/5*e^6/(a*e-b*d)^8*b^6/(b*e*x+a*e)^5*(e*x+d)^(5/2)*A*a*d-28329/64*e^6/(a*e-b*d)^8*b^6/(b*e*x+a*e)^5*(e*x+d)^(3/2)*A*a*d^2-252/5*e^6/(a*e-b*d)^8*b^5/(b*e*x+a*e)^5*(e*x+d)^(5/2)*B*a^2*d-2/3*e^5/(a*e-b*d)^7/(e*x+d)^(3/2)*a*B-2/5*e^5/(a*e-b*d)^6/(e*x+d)^(5/2)*A+4*e^5/(a*e-b*d)^7/(e*x+d)^(3/2)*A*b-42*e^5*b^2/(a*e-b*d)^8/(e*x+d)^(1/2)*A+2/5*e^4/(a*e-b*d)^6/(e*x+d)^(5/2)*B*d+7837/64*e^5/(a*e-b*d)^8*b^7/(b*e*x+a*e)^5*A*(e*x+d)^(7/2)*d+3003/64*e^4/(a*e-b*d)^8*b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*d+1083/64*e^4/(a*e-b*d)^8*b^7/(b*e*x+a*e)^5*(e*x+d)^(9/2)*B*d+350/3*e^4/(a*e-b*d)^8*b^7/(b*e*x+a*e)^5*(e*x+d)^(5/2)*B*d^3-8099/96*e^4/(a*e-b*d)^8*b^7/(b*e*x+a*e)^5*(e*x+d)^(3/2)*B*d^4-5327/128*e^9/(a*e-b*d)^8*b^3/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*a^4-5327/128*e^5/(a*e-b*d)^8*b^7/(b*e*x+a*e)^5*(e*x+d)^(1/2)*A*d^4-9009/128*e^5/(a*e-b*d)^8*b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A-3633/128*e^5/(a*e-b*d)^8*b^7/(b*e*x+a*e)^5*(e*x+d)^(9/2)*A-10/3*e^4/(a*e-b*d)^7/(e*x+d)^(3/2)*B*b*d+30*e^4*b^2/(a*e-b*d)^8/(e*x+d)^(1/2)*B*d+12*e^5*b/(a*e-b*d)^8/(e*x+d)^(1/2)*a*B+3003/128*e^5/(a*e-b*d)^8*b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*B+1253/15*e^7/(a*e-b*d)^8*b^4/(b*e*x+a*e)^5*(e*x+d)^(5/2)*B*a^3-9443/64*e^8/(a*e-b*d)^8*b^4/(b*e*x+a*e)^5*(e*x+d)^(3/2)*A*a^3+9443/64*e^5/(a*e-b*d)^8*b^7/(b*e*x+a*e)^5*(e*x+d)^(3/2)*A*d^3+12131/192*e^8/(a*e-b*d)^8*b^3/(b*e*x+a*e)^5*(e*x+d)^(3/2)*B*a^4+9629/192*e^6/(a*e-b*d)^8*b^5/(b*e*x+a*e)^5*B*(e*x+d)^(7/2)*a^2+1467/128*e^5/(a*e-b*d)^8*b^6/(b*e*x+a*e)^5*(e*x+d)^(9/2)*B*a-1001/5*e^7/(a*e-b*d)^8*b^5/(b*e*x+a*e)^5*(e*x+d)^(5/2)*A*a^2-1001/5*e^5/(a*e-b*d)^8*b^7/(b*e*x+a*e)^5*(e*x+d)^(5/2)*A*d^2+2373/128*e^9/(a*e-b*d)^8*b^2/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*a^5+1477/64*e^4/(a*e-b*d)^8*b^7/(b*e*x+a*e)^5*(e*x+d)^(1/2)*B*d^5-6941/96*e^4/(a*e-b*d)^8*b^7/(b*e*x+a*e)^5*B*(e*x+d)^(7/2)*d^2-7837/64*e^6/(a*e-b*d)^8*b^6/(b*e*x+a*e)^5*A*(e*x+d)^(7/2)*a","B"
1835,1,89,119,0.048000," ","int((B*x+A)*(e*x+d)^(7/2)*((b*x+a)^2)^(1/2),x)","\frac{2 \left(e x +d \right)^{\frac{9}{2}} \left(99 B b \,x^{2} e^{2}+117 A b \,e^{2} x +117 B a \,e^{2} x -36 B b d e x +143 A a \,e^{2}-26 A b d e -26 B a d e +8 B b \,d^{2}\right) \sqrt{\left(b x +a \right)^{2}}}{1287 \left(b x +a \right) e^{3}}"," ",0,"2/1287*(e*x+d)^(9/2)*(99*B*b*e^2*x^2+117*A*b*e^2*x+117*B*a*e^2*x-36*B*b*d*e*x+143*A*a*e^2-26*A*b*d*e-26*B*a*d*e+8*B*b*d^2)*((b*x+a)^2)^(1/2)/e^3/(b*x+a)","A"
1836,1,89,119,0.044000," ","int((B*x+A)*(e*x+d)^(5/2)*((b*x+a)^2)^(1/2),x)","\frac{2 \left(e x +d \right)^{\frac{7}{2}} \left(63 B b \,x^{2} e^{2}+77 A b \,e^{2} x +77 B a \,e^{2} x -28 B b d e x +99 A a \,e^{2}-22 A b d e -22 B a d e +8 B b \,d^{2}\right) \sqrt{\left(b x +a \right)^{2}}}{693 \left(b x +a \right) e^{3}}"," ",0,"2/693*(e*x+d)^(7/2)*(63*B*b*e^2*x^2+77*A*b*e^2*x+77*B*a*e^2*x-28*B*b*d*e*x+99*A*a*e^2-22*A*b*d*e-22*B*a*d*e+8*B*b*d^2)*((b*x+a)^2)^(1/2)/e^3/(b*x+a)","A"
1837,1,89,119,0.046000," ","int((B*x+A)*(e*x+d)^(3/2)*((b*x+a)^2)^(1/2),x)","\frac{2 \left(e x +d \right)^{\frac{5}{2}} \left(35 B b \,x^{2} e^{2}+45 A b \,e^{2} x +45 B a \,e^{2} x -20 B b d e x +63 A a \,e^{2}-18 A b d e -18 B a d e +8 B b \,d^{2}\right) \sqrt{\left(b x +a \right)^{2}}}{315 \left(b x +a \right) e^{3}}"," ",0,"2/315*(e*x+d)^(5/2)*(35*B*b*e^2*x^2+45*A*b*e^2*x+45*B*a*e^2*x-20*B*b*d*e*x+63*A*a*e^2-18*A*b*d*e-18*B*a*d*e+8*B*b*d^2)*((b*x+a)^2)^(1/2)/e^3/(b*x+a)","A"
1838,1,89,119,0.050000," ","int((B*x+A)*(e*x+d)^(1/2)*((b*x+a)^2)^(1/2),x)","\frac{2 \left(e x +d \right)^{\frac{3}{2}} \left(15 B b \,x^{2} e^{2}+21 A b \,e^{2} x +21 B a \,e^{2} x -12 B b d e x +35 A a \,e^{2}-14 A b d e -14 B a d e +8 B b \,d^{2}\right) \sqrt{\left(b x +a \right)^{2}}}{105 \left(b x +a \right) e^{3}}"," ",0,"2/105*(e*x+d)^(3/2)*(15*B*b*e^2*x^2+21*A*b*e^2*x+21*B*a*e^2*x-12*B*b*d*e*x+35*A*a*e^2-14*A*b*d*e-14*B*a*d*e+8*B*b*d^2)*((b*x+a)^2)^(1/2)/e^3/(b*x+a)","A"
1839,1,89,119,0.050000," ","int((B*x+A)*((b*x+a)^2)^(1/2)/(e*x+d)^(1/2),x)","\frac{2 \sqrt{e x +d}\, \left(3 B b \,x^{2} e^{2}+5 A b \,e^{2} x +5 B a \,e^{2} x -4 B b d e x +15 A a \,e^{2}-10 A b d e -10 B a d e +8 B b \,d^{2}\right) \sqrt{\left(b x +a \right)^{2}}}{15 \left(b x +a \right) e^{3}}"," ",0,"2/15*(e*x+d)^(1/2)*(3*B*b*e^2*x^2+5*A*b*e^2*x+5*B*a*e^2*x-4*B*b*d*e*x+15*A*a*e^2-10*A*b*d*e-10*B*a*d*e+8*B*b*d^2)*((b*x+a)^2)^(1/2)/e^3/(b*x+a)","A"
1840,1,89,119,0.045000," ","int((B*x+A)*((b*x+a)^2)^(1/2)/(e*x+d)^(3/2),x)","-\frac{2 \left(-B b \,x^{2} e^{2}-3 A b \,e^{2} x -3 B a \,e^{2} x +4 B b d e x +3 A a \,e^{2}-6 A b d e -6 B a d e +8 B b \,d^{2}\right) \sqrt{\left(b x +a \right)^{2}}}{3 \sqrt{e x +d}\, \left(b x +a \right) e^{3}}"," ",0,"-2/3/(e*x+d)^(1/2)*(-B*b*e^2*x^2-3*A*b*e^2*x-3*B*a*e^2*x+4*B*b*d*e*x+3*A*a*e^2-6*A*b*d*e-6*B*a*d*e+8*B*b*d^2)*((b*x+a)^2)^(1/2)/e^3/(b*x+a)","A"
1841,1,88,119,0.041000," ","int((B*x+A)*((b*x+a)^2)^(1/2)/(e*x+d)^(5/2),x)","-\frac{2 \left(-3 B b \,x^{2} e^{2}+3 A b \,e^{2} x +3 B a \,e^{2} x -12 B b d e x +A a \,e^{2}+2 A b d e +2 B a d e -8 B b \,d^{2}\right) \sqrt{\left(b x +a \right)^{2}}}{3 \left(e x +d \right)^{\frac{3}{2}} \left(b x +a \right) e^{3}}"," ",0,"-2/3/(e*x+d)^(3/2)*(-3*B*b*e^2*x^2+3*A*b*e^2*x+3*B*a*e^2*x-12*B*b*d*e*x+A*a*e^2+2*A*b*d*e+2*B*a*d*e-8*B*b*d^2)*((b*x+a)^2)^(1/2)/e^3/(b*x+a)","A"
1842,1,89,119,0.047000," ","int((B*x+A)*((b*x+a)^2)^(1/2)/(e*x+d)^(7/2),x)","-\frac{2 \left(15 B b \,x^{2} e^{2}+5 A b \,e^{2} x +5 B a \,e^{2} x +20 B b d e x +3 A a \,e^{2}+2 A b d e +2 B a d e +8 B b \,d^{2}\right) \sqrt{\left(b x +a \right)^{2}}}{15 \left(e x +d \right)^{\frac{5}{2}} \left(b x +a \right) e^{3}}"," ",0,"-2/15/(e*x+d)^(5/2)*(15*B*b*e^2*x^2+5*A*b*e^2*x+5*B*a*e^2*x+20*B*b*d*e*x+3*A*a*e^2+2*A*b*d*e+2*B*a*d*e+8*B*b*d^2)*((b*x+a)^2)^(1/2)/e^3/(b*x+a)","A"
1843,1,317,233,0.053000," ","int((B*x+A)*(e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{2 \left(e x +d \right)^{\frac{9}{2}} \left(6435 b^{3} B \,x^{4} e^{4}+7293 A \,b^{3} e^{4} x^{3}+21879 B a \,b^{2} e^{4} x^{3}-3432 B \,b^{3} d \,e^{3} x^{3}+25245 A a \,b^{2} e^{4} x^{2}-3366 A \,b^{3} d \,e^{3} x^{2}+25245 B \,a^{2} b \,e^{4} x^{2}-10098 B a \,b^{2} d \,e^{3} x^{2}+1584 B \,b^{3} d^{2} e^{2} x^{2}+29835 A \,a^{2} b \,e^{4} x -9180 A a \,b^{2} d \,e^{3} x +1224 A \,b^{3} d^{2} e^{2} x +9945 B \,a^{3} e^{4} x -9180 B \,a^{2} b d \,e^{3} x +3672 B a \,b^{2} d^{2} e^{2} x -576 B \,b^{3} d^{3} e x +12155 A \,a^{3} e^{4}-6630 A \,a^{2} b d \,e^{3}+2040 A a \,b^{2} d^{2} e^{2}-272 A \,b^{3} d^{3} e -2210 B \,a^{3} d \,e^{3}+2040 B \,a^{2} b \,d^{2} e^{2}-816 B a \,b^{2} d^{3} e +128 B \,b^{3} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{109395 \left(b x +a \right)^{3} e^{5}}"," ",0,"2/109395*(e*x+d)^(9/2)*(6435*B*b^3*e^4*x^4+7293*A*b^3*e^4*x^3+21879*B*a*b^2*e^4*x^3-3432*B*b^3*d*e^3*x^3+25245*A*a*b^2*e^4*x^2-3366*A*b^3*d*e^3*x^2+25245*B*a^2*b*e^4*x^2-10098*B*a*b^2*d*e^3*x^2+1584*B*b^3*d^2*e^2*x^2+29835*A*a^2*b*e^4*x-9180*A*a*b^2*d*e^3*x+1224*A*b^3*d^2*e^2*x+9945*B*a^3*e^4*x-9180*B*a^2*b*d*e^3*x+3672*B*a*b^2*d^2*e^2*x-576*B*b^3*d^3*e*x+12155*A*a^3*e^4-6630*A*a^2*b*d*e^3+2040*A*a*b^2*d^2*e^2-272*A*b^3*d^3*e-2210*B*a^3*d*e^3+2040*B*a^2*b*d^2*e^2-816*B*a*b^2*d^3*e+128*B*b^3*d^4)*((b*x+a)^2)^(3/2)/e^5/(b*x+a)^3","A"
1844,1,317,233,0.050000," ","int((B*x+A)*(e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{2 \left(e x +d \right)^{\frac{7}{2}} \left(3003 b^{3} B \,x^{4} e^{4}+3465 A \,b^{3} e^{4} x^{3}+10395 B a \,b^{2} e^{4} x^{3}-1848 B \,b^{3} d \,e^{3} x^{3}+12285 A a \,b^{2} e^{4} x^{2}-1890 A \,b^{3} d \,e^{3} x^{2}+12285 B \,a^{2} b \,e^{4} x^{2}-5670 B a \,b^{2} d \,e^{3} x^{2}+1008 B \,b^{3} d^{2} e^{2} x^{2}+15015 A \,a^{2} b \,e^{4} x -5460 A a \,b^{2} d \,e^{3} x +840 A \,b^{3} d^{2} e^{2} x +5005 B \,a^{3} e^{4} x -5460 B \,a^{2} b d \,e^{3} x +2520 B a \,b^{2} d^{2} e^{2} x -448 B \,b^{3} d^{3} e x +6435 A \,a^{3} e^{4}-4290 A \,a^{2} b d \,e^{3}+1560 A a \,b^{2} d^{2} e^{2}-240 A \,b^{3} d^{3} e -1430 B \,a^{3} d \,e^{3}+1560 B \,a^{2} b \,d^{2} e^{2}-720 B a \,b^{2} d^{3} e +128 B \,b^{3} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{45045 \left(b x +a \right)^{3} e^{5}}"," ",0,"2/45045*(e*x+d)^(7/2)*(3003*B*b^3*e^4*x^4+3465*A*b^3*e^4*x^3+10395*B*a*b^2*e^4*x^3-1848*B*b^3*d*e^3*x^3+12285*A*a*b^2*e^4*x^2-1890*A*b^3*d*e^3*x^2+12285*B*a^2*b*e^4*x^2-5670*B*a*b^2*d*e^3*x^2+1008*B*b^3*d^2*e^2*x^2+15015*A*a^2*b*e^4*x-5460*A*a*b^2*d*e^3*x+840*A*b^3*d^2*e^2*x+5005*B*a^3*e^4*x-5460*B*a^2*b*d*e^3*x+2520*B*a*b^2*d^2*e^2*x-448*B*b^3*d^3*e*x+6435*A*a^3*e^4-4290*A*a^2*b*d*e^3+1560*A*a*b^2*d^2*e^2-240*A*b^3*d^3*e-1430*B*a^3*d*e^3+1560*B*a^2*b*d^2*e^2-720*B*a*b^2*d^3*e+128*B*b^3*d^4)*((b*x+a)^2)^(3/2)/e^5/(b*x+a)^3","A"
1845,1,317,233,0.051000," ","int((B*x+A)*(e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{2 \left(e x +d \right)^{\frac{5}{2}} \left(1155 b^{3} B \,x^{4} e^{4}+1365 A \,b^{3} e^{4} x^{3}+4095 B a \,b^{2} e^{4} x^{3}-840 B \,b^{3} d \,e^{3} x^{3}+5005 A a \,b^{2} e^{4} x^{2}-910 A \,b^{3} d \,e^{3} x^{2}+5005 B \,a^{2} b \,e^{4} x^{2}-2730 B a \,b^{2} d \,e^{3} x^{2}+560 B \,b^{3} d^{2} e^{2} x^{2}+6435 A \,a^{2} b \,e^{4} x -2860 A a \,b^{2} d \,e^{3} x +520 A \,b^{3} d^{2} e^{2} x +2145 B \,a^{3} e^{4} x -2860 B \,a^{2} b d \,e^{3} x +1560 B a \,b^{2} d^{2} e^{2} x -320 B \,b^{3} d^{3} e x +3003 A \,a^{3} e^{4}-2574 A \,a^{2} b d \,e^{3}+1144 A a \,b^{2} d^{2} e^{2}-208 A \,b^{3} d^{3} e -858 B \,a^{3} d \,e^{3}+1144 B \,a^{2} b \,d^{2} e^{2}-624 B a \,b^{2} d^{3} e +128 B \,b^{3} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{15015 \left(b x +a \right)^{3} e^{5}}"," ",0,"2/15015*(e*x+d)^(5/2)*(1155*B*b^3*e^4*x^4+1365*A*b^3*e^4*x^3+4095*B*a*b^2*e^4*x^3-840*B*b^3*d*e^3*x^3+5005*A*a*b^2*e^4*x^2-910*A*b^3*d*e^3*x^2+5005*B*a^2*b*e^4*x^2-2730*B*a*b^2*d*e^3*x^2+560*B*b^3*d^2*e^2*x^2+6435*A*a^2*b*e^4*x-2860*A*a*b^2*d*e^3*x+520*A*b^3*d^2*e^2*x+2145*B*a^3*e^4*x-2860*B*a^2*b*d*e^3*x+1560*B*a*b^2*d^2*e^2*x-320*B*b^3*d^3*e*x+3003*A*a^3*e^4-2574*A*a^2*b*d*e^3+1144*A*a*b^2*d^2*e^2-208*A*b^3*d^3*e-858*B*a^3*d*e^3+1144*B*a^2*b*d^2*e^2-624*B*a*b^2*d^3*e+128*B*b^3*d^4)*((b*x+a)^2)^(3/2)/e^5/(b*x+a)^3","A"
1846,1,317,233,0.058000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)*(e*x+d)^(1/2),x)","\frac{2 \left(e x +d \right)^{\frac{3}{2}} \left(315 b^{3} B \,x^{4} e^{4}+385 A \,b^{3} e^{4} x^{3}+1155 B a \,b^{2} e^{4} x^{3}-280 B \,b^{3} d \,e^{3} x^{3}+1485 A a \,b^{2} e^{4} x^{2}-330 A \,b^{3} d \,e^{3} x^{2}+1485 B \,a^{2} b \,e^{4} x^{2}-990 B a \,b^{2} d \,e^{3} x^{2}+240 B \,b^{3} d^{2} e^{2} x^{2}+2079 A \,a^{2} b \,e^{4} x -1188 A a \,b^{2} d \,e^{3} x +264 A \,b^{3} d^{2} e^{2} x +693 B \,a^{3} e^{4} x -1188 B \,a^{2} b d \,e^{3} x +792 B a \,b^{2} d^{2} e^{2} x -192 B \,b^{3} d^{3} e x +1155 A \,a^{3} e^{4}-1386 A \,a^{2} b d \,e^{3}+792 A a \,b^{2} d^{2} e^{2}-176 A \,b^{3} d^{3} e -462 B \,a^{3} d \,e^{3}+792 B \,a^{2} b \,d^{2} e^{2}-528 B a \,b^{2} d^{3} e +128 B \,b^{3} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{3465 \left(b x +a \right)^{3} e^{5}}"," ",0,"2/3465*(e*x+d)^(3/2)*(315*B*b^3*e^4*x^4+385*A*b^3*e^4*x^3+1155*B*a*b^2*e^4*x^3-280*B*b^3*d*e^3*x^3+1485*A*a*b^2*e^4*x^2-330*A*b^3*d*e^3*x^2+1485*B*a^2*b*e^4*x^2-990*B*a*b^2*d*e^3*x^2+240*B*b^3*d^2*e^2*x^2+2079*A*a^2*b*e^4*x-1188*A*a*b^2*d*e^3*x+264*A*b^3*d^2*e^2*x+693*B*a^3*e^4*x-1188*B*a^2*b*d*e^3*x+792*B*a*b^2*d^2*e^2*x-192*B*b^3*d^3*e*x+1155*A*a^3*e^4-1386*A*a^2*b*d*e^3+792*A*a*b^2*d^2*e^2-176*A*b^3*d^3*e-462*B*a^3*d*e^3+792*B*a^2*b*d^2*e^2-528*B*a*b^2*d^3*e+128*B*b^3*d^4)*((b*x+a)^2)^(3/2)/e^5/(b*x+a)^3","A"
1847,1,317,233,0.059000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(1/2),x)","\frac{2 \sqrt{e x +d}\, \left(35 b^{3} B \,x^{4} e^{4}+45 A \,b^{3} e^{4} x^{3}+135 B a \,b^{2} e^{4} x^{3}-40 B \,b^{3} d \,e^{3} x^{3}+189 A a \,b^{2} e^{4} x^{2}-54 A \,b^{3} d \,e^{3} x^{2}+189 B \,a^{2} b \,e^{4} x^{2}-162 B a \,b^{2} d \,e^{3} x^{2}+48 B \,b^{3} d^{2} e^{2} x^{2}+315 A \,a^{2} b \,e^{4} x -252 A a \,b^{2} d \,e^{3} x +72 A \,b^{3} d^{2} e^{2} x +105 B \,a^{3} e^{4} x -252 B \,a^{2} b d \,e^{3} x +216 B a \,b^{2} d^{2} e^{2} x -64 B \,b^{3} d^{3} e x +315 A \,a^{3} e^{4}-630 A \,a^{2} b d \,e^{3}+504 A a \,b^{2} d^{2} e^{2}-144 A \,b^{3} d^{3} e -210 B \,a^{3} d \,e^{3}+504 B \,a^{2} b \,d^{2} e^{2}-432 B a \,b^{2} d^{3} e +128 B \,b^{3} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{315 \left(b x +a \right)^{3} e^{5}}"," ",0,"2/315*(e*x+d)^(1/2)*(35*B*b^3*e^4*x^4+45*A*b^3*e^4*x^3+135*B*a*b^2*e^4*x^3-40*B*b^3*d*e^3*x^3+189*A*a*b^2*e^4*x^2-54*A*b^3*d*e^3*x^2+189*B*a^2*b*e^4*x^2-162*B*a*b^2*d*e^3*x^2+48*B*b^3*d^2*e^2*x^2+315*A*a^2*b*e^4*x-252*A*a*b^2*d*e^3*x+72*A*b^3*d^2*e^2*x+105*B*a^3*e^4*x-252*B*a^2*b*d*e^3*x+216*B*a*b^2*d^2*e^2*x-64*B*b^3*d^3*e*x+315*A*a^3*e^4-630*A*a^2*b*d*e^3+504*A*a*b^2*d^2*e^2-144*A*b^3*d^3*e-210*B*a^3*d*e^3+504*B*a^2*b*d^2*e^2-432*B*a*b^2*d^3*e+128*B*b^3*d^4)*((b*x+a)^2)^(3/2)/e^5/(b*x+a)^3","A"
1848,1,317,233,0.053000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(3/2),x)","-\frac{2 \left(-5 b^{3} B \,x^{4} e^{4}-7 A \,b^{3} e^{4} x^{3}-21 B a \,b^{2} e^{4} x^{3}+8 B \,b^{3} d \,e^{3} x^{3}-35 A a \,b^{2} e^{4} x^{2}+14 A \,b^{3} d \,e^{3} x^{2}-35 B \,a^{2} b \,e^{4} x^{2}+42 B a \,b^{2} d \,e^{3} x^{2}-16 B \,b^{3} d^{2} e^{2} x^{2}-105 A \,a^{2} b \,e^{4} x +140 A a \,b^{2} d \,e^{3} x -56 A \,b^{3} d^{2} e^{2} x -35 B \,a^{3} e^{4} x +140 B \,a^{2} b d \,e^{3} x -168 B a \,b^{2} d^{2} e^{2} x +64 B \,b^{3} d^{3} e x +35 A \,a^{3} e^{4}-210 A \,a^{2} b d \,e^{3}+280 A a \,b^{2} d^{2} e^{2}-112 A \,b^{3} d^{3} e -70 B \,a^{3} d \,e^{3}+280 B \,a^{2} b \,d^{2} e^{2}-336 B a \,b^{2} d^{3} e +128 B \,b^{3} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{35 \sqrt{e x +d}\, \left(b x +a \right)^{3} e^{5}}"," ",0,"-2/35/(e*x+d)^(1/2)*(-5*B*b^3*e^4*x^4-7*A*b^3*e^4*x^3-21*B*a*b^2*e^4*x^3+8*B*b^3*d*e^3*x^3-35*A*a*b^2*e^4*x^2+14*A*b^3*d*e^3*x^2-35*B*a^2*b*e^4*x^2+42*B*a*b^2*d*e^3*x^2-16*B*b^3*d^2*e^2*x^2-105*A*a^2*b*e^4*x+140*A*a*b^2*d*e^3*x-56*A*b^3*d^2*e^2*x-35*B*a^3*e^4*x+140*B*a^2*b*d*e^3*x-168*B*a*b^2*d^2*e^2*x+64*B*b^3*d^3*e*x+35*A*a^3*e^4-210*A*a^2*b*d*e^3+280*A*a*b^2*d^2*e^2-112*A*b^3*d^3*e-70*B*a^3*d*e^3+280*B*a^2*b*d^2*e^2-336*B*a*b^2*d^3*e+128*B*b^3*d^4)*((b*x+a)^2)^(3/2)/e^5/(b*x+a)^3","A"
1849,1,317,233,0.052000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(5/2),x)","-\frac{2 \left(-3 b^{3} B \,x^{4} e^{4}-5 A \,b^{3} e^{4} x^{3}-15 B a \,b^{2} e^{4} x^{3}+8 B \,b^{3} d \,e^{3} x^{3}-45 A a \,b^{2} e^{4} x^{2}+30 A \,b^{3} d \,e^{3} x^{2}-45 B \,a^{2} b \,e^{4} x^{2}+90 B a \,b^{2} d \,e^{3} x^{2}-48 B \,b^{3} d^{2} e^{2} x^{2}+45 A \,a^{2} b \,e^{4} x -180 A a \,b^{2} d \,e^{3} x +120 A \,b^{3} d^{2} e^{2} x +15 B \,a^{3} e^{4} x -180 B \,a^{2} b d \,e^{3} x +360 B a \,b^{2} d^{2} e^{2} x -192 B \,b^{3} d^{3} e x +5 A \,a^{3} e^{4}+30 A \,a^{2} b d \,e^{3}-120 A a \,b^{2} d^{2} e^{2}+80 A \,b^{3} d^{3} e +10 B \,a^{3} d \,e^{3}-120 B \,a^{2} b \,d^{2} e^{2}+240 B a \,b^{2} d^{3} e -128 B \,b^{3} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{15 \left(e x +d \right)^{\frac{3}{2}} \left(b x +a \right)^{3} e^{5}}"," ",0,"-2/15/(e*x+d)^(3/2)*(-3*B*b^3*e^4*x^4-5*A*b^3*e^4*x^3-15*B*a*b^2*e^4*x^3+8*B*b^3*d*e^3*x^3-45*A*a*b^2*e^4*x^2+30*A*b^3*d*e^3*x^2-45*B*a^2*b*e^4*x^2+90*B*a*b^2*d*e^3*x^2-48*B*b^3*d^2*e^2*x^2+45*A*a^2*b*e^4*x-180*A*a*b^2*d*e^3*x+120*A*b^3*d^2*e^2*x+15*B*a^3*e^4*x-180*B*a^2*b*d*e^3*x+360*B*a*b^2*d^2*e^2*x-192*B*b^3*d^3*e*x+5*A*a^3*e^4+30*A*a^2*b*d*e^3-120*A*a*b^2*d^2*e^2+80*A*b^3*d^3*e+10*B*a^3*d*e^3-120*B*a^2*b*d^2*e^2+240*B*a*b^2*d^3*e-128*B*b^3*d^4)*((b*x+a)^2)^(3/2)/e^5/(b*x+a)^3","A"
1850,1,317,233,0.053000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(7/2),x)","-\frac{2 \left(-5 b^{3} B \,x^{4} e^{4}-15 A \,b^{3} e^{4} x^{3}-45 B a \,b^{2} e^{4} x^{3}+40 B \,b^{3} d \,e^{3} x^{3}+45 A a \,b^{2} e^{4} x^{2}-90 A \,b^{3} d \,e^{3} x^{2}+45 B \,a^{2} b \,e^{4} x^{2}-270 B a \,b^{2} d \,e^{3} x^{2}+240 B \,b^{3} d^{2} e^{2} x^{2}+15 A \,a^{2} b \,e^{4} x +60 A a \,b^{2} d \,e^{3} x -120 A \,b^{3} d^{2} e^{2} x +5 B \,a^{3} e^{4} x +60 B \,a^{2} b d \,e^{3} x -360 B a \,b^{2} d^{2} e^{2} x +320 B \,b^{3} d^{3} e x +3 A \,a^{3} e^{4}+6 A \,a^{2} b d \,e^{3}+24 A a \,b^{2} d^{2} e^{2}-48 A \,b^{3} d^{3} e +2 B \,a^{3} d \,e^{3}+24 B \,a^{2} b \,d^{2} e^{2}-144 B a \,b^{2} d^{3} e +128 B \,b^{3} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{15 \left(e x +d \right)^{\frac{5}{2}} \left(b x +a \right)^{3} e^{5}}"," ",0,"-2/15/(e*x+d)^(5/2)*(-5*B*b^3*e^4*x^4-15*A*b^3*e^4*x^3-45*B*a*b^2*e^4*x^3+40*B*b^3*d*e^3*x^3+45*A*a*b^2*e^4*x^2-90*A*b^3*d*e^3*x^2+45*B*a^2*b*e^4*x^2-270*B*a*b^2*d*e^3*x^2+240*B*b^3*d^2*e^2*x^2+15*A*a^2*b*e^4*x+60*A*a*b^2*d*e^3*x-120*A*b^3*d^2*e^2*x+5*B*a^3*e^4*x+60*B*a^2*b*d*e^3*x-360*B*a*b^2*d^2*e^2*x+320*B*b^3*d^3*e*x+3*A*a^3*e^4+6*A*a^2*b*d*e^3+24*A*a*b^2*d^2*e^2-48*A*b^3*d^3*e+2*B*a^3*d*e^3+24*B*a^2*b*d^2*e^2-144*B*a*b^2*d^3*e+128*B*b^3*d^4)*((b*x+a)^2)^(3/2)/e^5/(b*x+a)^3","A"
1851,1,689,347,0.054000," ","int((B*x+A)*(e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{2 \left(e x +d \right)^{\frac{9}{2}} \left(138567 B \,b^{5} e^{6} x^{6}+153153 A \,b^{5} e^{6} x^{5}+765765 B a \,b^{4} e^{6} x^{5}-87516 B \,b^{5} d \,e^{5} x^{5}+855855 A a \,b^{4} e^{6} x^{4}-90090 A \,b^{5} d \,e^{5} x^{4}+1711710 B \,a^{2} b^{3} e^{6} x^{4}-450450 B a \,b^{4} d \,e^{5} x^{4}+51480 B \,b^{5} d^{2} e^{4} x^{4}+1939938 A \,a^{2} b^{3} e^{6} x^{3}-456456 A a \,b^{4} d \,e^{5} x^{3}+48048 A \,b^{5} d^{2} e^{4} x^{3}+1939938 B \,a^{3} b^{2} e^{6} x^{3}-912912 B \,a^{2} b^{3} d \,e^{5} x^{3}+240240 B a \,b^{4} d^{2} e^{4} x^{3}-27456 B \,b^{5} d^{3} e^{3} x^{3}+2238390 A \,a^{3} b^{2} e^{6} x^{2}-895356 A \,a^{2} b^{3} d \,e^{5} x^{2}+210672 A a \,b^{4} d^{2} e^{4} x^{2}-22176 A \,b^{5} d^{3} e^{3} x^{2}+1119195 B \,a^{4} b \,e^{6} x^{2}-895356 B \,a^{3} b^{2} d \,e^{5} x^{2}+421344 B \,a^{2} b^{3} d^{2} e^{4} x^{2}-110880 B a \,b^{4} d^{3} e^{3} x^{2}+12672 B \,b^{5} d^{4} e^{2} x^{2}+1322685 A \,a^{4} b \,e^{6} x -813960 A \,a^{3} b^{2} d \,e^{5} x +325584 A \,a^{2} b^{3} d^{2} e^{4} x -76608 A a \,b^{4} d^{3} e^{3} x +8064 A \,b^{5} d^{4} e^{2} x +264537 B \,a^{5} e^{6} x -406980 B \,a^{4} b d \,e^{5} x +325584 B \,a^{3} b^{2} d^{2} e^{4} x -153216 B \,a^{2} b^{3} d^{3} e^{3} x +40320 B a \,b^{4} d^{4} e^{2} x -4608 B \,b^{5} d^{5} e x +323323 A \,a^{5} e^{6}-293930 A \,a^{4} b d \,e^{5}+180880 A \,a^{3} b^{2} d^{2} e^{4}-72352 A \,a^{2} b^{3} d^{3} e^{3}+17024 A a \,b^{4} d^{4} e^{2}-1792 A \,b^{5} d^{5} e -58786 B \,a^{5} d \,e^{5}+90440 B \,a^{4} b \,d^{2} e^{4}-72352 B \,a^{3} b^{2} d^{3} e^{3}+34048 B \,a^{2} b^{3} d^{4} e^{2}-8960 B a \,b^{4} d^{5} e +1024 B \,b^{5} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{2909907 \left(b x +a \right)^{5} e^{7}}"," ",0,"2/2909907*(e*x+d)^(9/2)*(138567*B*b^5*e^6*x^6+153153*A*b^5*e^6*x^5+765765*B*a*b^4*e^6*x^5-87516*B*b^5*d*e^5*x^5+855855*A*a*b^4*e^6*x^4-90090*A*b^5*d*e^5*x^4+1711710*B*a^2*b^3*e^6*x^4-450450*B*a*b^4*d*e^5*x^4+51480*B*b^5*d^2*e^4*x^4+1939938*A*a^2*b^3*e^6*x^3-456456*A*a*b^4*d*e^5*x^3+48048*A*b^5*d^2*e^4*x^3+1939938*B*a^3*b^2*e^6*x^3-912912*B*a^2*b^3*d*e^5*x^3+240240*B*a*b^4*d^2*e^4*x^3-27456*B*b^5*d^3*e^3*x^3+2238390*A*a^3*b^2*e^6*x^2-895356*A*a^2*b^3*d*e^5*x^2+210672*A*a*b^4*d^2*e^4*x^2-22176*A*b^5*d^3*e^3*x^2+1119195*B*a^4*b*e^6*x^2-895356*B*a^3*b^2*d*e^5*x^2+421344*B*a^2*b^3*d^2*e^4*x^2-110880*B*a*b^4*d^3*e^3*x^2+12672*B*b^5*d^4*e^2*x^2+1322685*A*a^4*b*e^6*x-813960*A*a^3*b^2*d*e^5*x+325584*A*a^2*b^3*d^2*e^4*x-76608*A*a*b^4*d^3*e^3*x+8064*A*b^5*d^4*e^2*x+264537*B*a^5*e^6*x-406980*B*a^4*b*d*e^5*x+325584*B*a^3*b^2*d^2*e^4*x-153216*B*a^2*b^3*d^3*e^3*x+40320*B*a*b^4*d^4*e^2*x-4608*B*b^5*d^5*e*x+323323*A*a^5*e^6-293930*A*a^4*b*d*e^5+180880*A*a^3*b^2*d^2*e^4-72352*A*a^2*b^3*d^3*e^3+17024*A*a*b^4*d^4*e^2-1792*A*b^5*d^5*e-58786*B*a^5*d*e^5+90440*B*a^4*b*d^2*e^4-72352*B*a^3*b^2*d^3*e^3+34048*B*a^2*b^3*d^4*e^2-8960*B*a*b^4*d^5*e+1024*B*b^5*d^6)*((b*x+a)^2)^(5/2)/e^7/(b*x+a)^5","A"
1852,1,689,347,0.050000," ","int((B*x+A)*(e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{2 \left(e x +d \right)^{\frac{7}{2}} \left(153153 B \,b^{5} e^{6} x^{6}+171171 A \,b^{5} e^{6} x^{5}+855855 B a \,b^{4} e^{6} x^{5}-108108 B \,b^{5} d \,e^{5} x^{5}+969969 A a \,b^{4} e^{6} x^{4}-114114 A \,b^{5} d \,e^{5} x^{4}+1939938 B \,a^{2} b^{3} e^{6} x^{4}-570570 B a \,b^{4} d \,e^{5} x^{4}+72072 B \,b^{5} d^{2} e^{4} x^{4}+2238390 A \,a^{2} b^{3} e^{6} x^{3}-596904 A a \,b^{4} d \,e^{5} x^{3}+70224 A \,b^{5} d^{2} e^{4} x^{3}+2238390 B \,a^{3} b^{2} e^{6} x^{3}-1193808 B \,a^{2} b^{3} d \,e^{5} x^{3}+351120 B a \,b^{4} d^{2} e^{4} x^{3}-44352 B \,b^{5} d^{3} e^{3} x^{3}+2645370 A \,a^{3} b^{2} e^{6} x^{2}-1220940 A \,a^{2} b^{3} d \,e^{5} x^{2}+325584 A a \,b^{4} d^{2} e^{4} x^{2}-38304 A \,b^{5} d^{3} e^{3} x^{2}+1322685 B \,a^{4} b \,e^{6} x^{2}-1220940 B \,a^{3} b^{2} d \,e^{5} x^{2}+651168 B \,a^{2} b^{3} d^{2} e^{4} x^{2}-191520 B a \,b^{4} d^{3} e^{3} x^{2}+24192 B \,b^{5} d^{4} e^{2} x^{2}+1616615 A \,a^{4} b \,e^{6} x -1175720 A \,a^{3} b^{2} d \,e^{5} x +542640 A \,a^{2} b^{3} d^{2} e^{4} x -144704 A a \,b^{4} d^{3} e^{3} x +17024 A \,b^{5} d^{4} e^{2} x +323323 B \,a^{5} e^{6} x -587860 B \,a^{4} b d \,e^{5} x +542640 B \,a^{3} b^{2} d^{2} e^{4} x -289408 B \,a^{2} b^{3} d^{3} e^{3} x +85120 B a \,b^{4} d^{4} e^{2} x -10752 B \,b^{5} d^{5} e x +415701 A \,a^{5} e^{6}-461890 A \,a^{4} b d \,e^{5}+335920 A \,a^{3} b^{2} d^{2} e^{4}-155040 A \,a^{2} b^{3} d^{3} e^{3}+41344 A a \,b^{4} d^{4} e^{2}-4864 A \,b^{5} d^{5} e -92378 B \,a^{5} d \,e^{5}+167960 B \,a^{4} b \,d^{2} e^{4}-155040 B \,a^{3} b^{2} d^{3} e^{3}+82688 B \,a^{2} b^{3} d^{4} e^{2}-24320 B a \,b^{4} d^{5} e +3072 B \,b^{5} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{2909907 \left(b x +a \right)^{5} e^{7}}"," ",0,"2/2909907*(e*x+d)^(7/2)*(153153*B*b^5*e^6*x^6+171171*A*b^5*e^6*x^5+855855*B*a*b^4*e^6*x^5-108108*B*b^5*d*e^5*x^5+969969*A*a*b^4*e^6*x^4-114114*A*b^5*d*e^5*x^4+1939938*B*a^2*b^3*e^6*x^4-570570*B*a*b^4*d*e^5*x^4+72072*B*b^5*d^2*e^4*x^4+2238390*A*a^2*b^3*e^6*x^3-596904*A*a*b^4*d*e^5*x^3+70224*A*b^5*d^2*e^4*x^3+2238390*B*a^3*b^2*e^6*x^3-1193808*B*a^2*b^3*d*e^5*x^3+351120*B*a*b^4*d^2*e^4*x^3-44352*B*b^5*d^3*e^3*x^3+2645370*A*a^3*b^2*e^6*x^2-1220940*A*a^2*b^3*d*e^5*x^2+325584*A*a*b^4*d^2*e^4*x^2-38304*A*b^5*d^3*e^3*x^2+1322685*B*a^4*b*e^6*x^2-1220940*B*a^3*b^2*d*e^5*x^2+651168*B*a^2*b^3*d^2*e^4*x^2-191520*B*a*b^4*d^3*e^3*x^2+24192*B*b^5*d^4*e^2*x^2+1616615*A*a^4*b*e^6*x-1175720*A*a^3*b^2*d*e^5*x+542640*A*a^2*b^3*d^2*e^4*x-144704*A*a*b^4*d^3*e^3*x+17024*A*b^5*d^4*e^2*x+323323*B*a^5*e^6*x-587860*B*a^4*b*d*e^5*x+542640*B*a^3*b^2*d^2*e^4*x-289408*B*a^2*b^3*d^3*e^3*x+85120*B*a*b^4*d^4*e^2*x-10752*B*b^5*d^5*e*x+415701*A*a^5*e^6-461890*A*a^4*b*d*e^5+335920*A*a^3*b^2*d^2*e^4-155040*A*a^2*b^3*d^3*e^3+41344*A*a*b^4*d^4*e^2-4864*A*b^5*d^5*e-92378*B*a^5*d*e^5+167960*B*a^4*b*d^2*e^4-155040*B*a^3*b^2*d^3*e^3+82688*B*a^2*b^3*d^4*e^2-24320*B*a*b^4*d^5*e+3072*B*b^5*d^6)*((b*x+a)^2)^(5/2)/e^7/(b*x+a)^5","A"
1853,1,689,347,0.055000," ","int((B*x+A)*(e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{2 \left(e x +d \right)^{\frac{5}{2}} \left(45045 B \,b^{5} e^{6} x^{6}+51051 A \,b^{5} e^{6} x^{5}+255255 B a \,b^{4} e^{6} x^{5}-36036 B \,b^{5} d \,e^{5} x^{5}+294525 A a \,b^{4} e^{6} x^{4}-39270 A \,b^{5} d \,e^{5} x^{4}+589050 B \,a^{2} b^{3} e^{6} x^{4}-196350 B a \,b^{4} d \,e^{5} x^{4}+27720 B \,b^{5} d^{2} e^{4} x^{4}+696150 A \,a^{2} b^{3} e^{6} x^{3}-214200 A a \,b^{4} d \,e^{5} x^{3}+28560 A \,b^{5} d^{2} e^{4} x^{3}+696150 B \,a^{3} b^{2} e^{6} x^{3}-428400 B \,a^{2} b^{3} d \,e^{5} x^{3}+142800 B a \,b^{4} d^{2} e^{4} x^{3}-20160 B \,b^{5} d^{3} e^{3} x^{3}+850850 A \,a^{3} b^{2} e^{6} x^{2}-464100 A \,a^{2} b^{3} d \,e^{5} x^{2}+142800 A a \,b^{4} d^{2} e^{4} x^{2}-19040 A \,b^{5} d^{3} e^{3} x^{2}+425425 B \,a^{4} b \,e^{6} x^{2}-464100 B \,a^{3} b^{2} d \,e^{5} x^{2}+285600 B \,a^{2} b^{3} d^{2} e^{4} x^{2}-95200 B a \,b^{4} d^{3} e^{3} x^{2}+13440 B \,b^{5} d^{4} e^{2} x^{2}+546975 A \,a^{4} b \,e^{6} x -486200 A \,a^{3} b^{2} d \,e^{5} x +265200 A \,a^{2} b^{3} d^{2} e^{4} x -81600 A a \,b^{4} d^{3} e^{3} x +10880 A \,b^{5} d^{4} e^{2} x +109395 B \,a^{5} e^{6} x -243100 B \,a^{4} b d \,e^{5} x +265200 B \,a^{3} b^{2} d^{2} e^{4} x -163200 B \,a^{2} b^{3} d^{3} e^{3} x +54400 B a \,b^{4} d^{4} e^{2} x -7680 B \,b^{5} d^{5} e x +153153 A \,a^{5} e^{6}-218790 A \,a^{4} b d \,e^{5}+194480 A \,a^{3} b^{2} d^{2} e^{4}-106080 A \,a^{2} b^{3} d^{3} e^{3}+32640 A a \,b^{4} d^{4} e^{2}-4352 A \,b^{5} d^{5} e -43758 B \,a^{5} d \,e^{5}+97240 B \,a^{4} b \,d^{2} e^{4}-106080 B \,a^{3} b^{2} d^{3} e^{3}+65280 B \,a^{2} b^{3} d^{4} e^{2}-21760 B a \,b^{4} d^{5} e +3072 B \,b^{5} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{765765 \left(b x +a \right)^{5} e^{7}}"," ",0,"2/765765*(e*x+d)^(5/2)*(45045*B*b^5*e^6*x^6+51051*A*b^5*e^6*x^5+255255*B*a*b^4*e^6*x^5-36036*B*b^5*d*e^5*x^5+294525*A*a*b^4*e^6*x^4-39270*A*b^5*d*e^5*x^4+589050*B*a^2*b^3*e^6*x^4-196350*B*a*b^4*d*e^5*x^4+27720*B*b^5*d^2*e^4*x^4+696150*A*a^2*b^3*e^6*x^3-214200*A*a*b^4*d*e^5*x^3+28560*A*b^5*d^2*e^4*x^3+696150*B*a^3*b^2*e^6*x^3-428400*B*a^2*b^3*d*e^5*x^3+142800*B*a*b^4*d^2*e^4*x^3-20160*B*b^5*d^3*e^3*x^3+850850*A*a^3*b^2*e^6*x^2-464100*A*a^2*b^3*d*e^5*x^2+142800*A*a*b^4*d^2*e^4*x^2-19040*A*b^5*d^3*e^3*x^2+425425*B*a^4*b*e^6*x^2-464100*B*a^3*b^2*d*e^5*x^2+285600*B*a^2*b^3*d^2*e^4*x^2-95200*B*a*b^4*d^3*e^3*x^2+13440*B*b^5*d^4*e^2*x^2+546975*A*a^4*b*e^6*x-486200*A*a^3*b^2*d*e^5*x+265200*A*a^2*b^3*d^2*e^4*x-81600*A*a*b^4*d^3*e^3*x+10880*A*b^5*d^4*e^2*x+109395*B*a^5*e^6*x-243100*B*a^4*b*d*e^5*x+265200*B*a^3*b^2*d^2*e^4*x-163200*B*a^2*b^3*d^3*e^3*x+54400*B*a*b^4*d^4*e^2*x-7680*B*b^5*d^5*e*x+153153*A*a^5*e^6-218790*A*a^4*b*d*e^5+194480*A*a^3*b^2*d^2*e^4-106080*A*a^2*b^3*d^3*e^3+32640*A*a*b^4*d^4*e^2-4352*A*b^5*d^5*e-43758*B*a^5*d*e^5+97240*B*a^4*b*d^2*e^4-106080*B*a^3*b^2*d^3*e^3+65280*B*a^2*b^3*d^4*e^2-21760*B*a*b^4*d^5*e+3072*B*b^5*d^6)*((b*x+a)^2)^(5/2)/e^7/(b*x+a)^5","A"
1854,1,689,347,0.052000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)*(e*x+d)^(1/2),x)","\frac{2 \left(e x +d \right)^{\frac{3}{2}} \left(3003 B \,b^{5} e^{6} x^{6}+3465 A \,b^{5} e^{6} x^{5}+17325 B a \,b^{4} e^{6} x^{5}-2772 B \,b^{5} d \,e^{5} x^{5}+20475 A a \,b^{4} e^{6} x^{4}-3150 A \,b^{5} d \,e^{5} x^{4}+40950 B \,a^{2} b^{3} e^{6} x^{4}-15750 B a \,b^{4} d \,e^{5} x^{4}+2520 B \,b^{5} d^{2} e^{4} x^{4}+50050 A \,a^{2} b^{3} e^{6} x^{3}-18200 A a \,b^{4} d \,e^{5} x^{3}+2800 A \,b^{5} d^{2} e^{4} x^{3}+50050 B \,a^{3} b^{2} e^{6} x^{3}-36400 B \,a^{2} b^{3} d \,e^{5} x^{3}+14000 B a \,b^{4} d^{2} e^{4} x^{3}-2240 B \,b^{5} d^{3} e^{3} x^{3}+64350 A \,a^{3} b^{2} e^{6} x^{2}-42900 A \,a^{2} b^{3} d \,e^{5} x^{2}+15600 A a \,b^{4} d^{2} e^{4} x^{2}-2400 A \,b^{5} d^{3} e^{3} x^{2}+32175 B \,a^{4} b \,e^{6} x^{2}-42900 B \,a^{3} b^{2} d \,e^{5} x^{2}+31200 B \,a^{2} b^{3} d^{2} e^{4} x^{2}-12000 B a \,b^{4} d^{3} e^{3} x^{2}+1920 B \,b^{5} d^{4} e^{2} x^{2}+45045 A \,a^{4} b \,e^{6} x -51480 A \,a^{3} b^{2} d \,e^{5} x +34320 A \,a^{2} b^{3} d^{2} e^{4} x -12480 A a \,b^{4} d^{3} e^{3} x +1920 A \,b^{5} d^{4} e^{2} x +9009 B \,a^{5} e^{6} x -25740 B \,a^{4} b d \,e^{5} x +34320 B \,a^{3} b^{2} d^{2} e^{4} x -24960 B \,a^{2} b^{3} d^{3} e^{3} x +9600 B a \,b^{4} d^{4} e^{2} x -1536 B \,b^{5} d^{5} e x +15015 A \,a^{5} e^{6}-30030 A \,a^{4} b d \,e^{5}+34320 A \,a^{3} b^{2} d^{2} e^{4}-22880 A \,a^{2} b^{3} d^{3} e^{3}+8320 A a \,b^{4} d^{4} e^{2}-1280 A \,b^{5} d^{5} e -6006 B \,a^{5} d \,e^{5}+17160 B \,a^{4} b \,d^{2} e^{4}-22880 B \,a^{3} b^{2} d^{3} e^{3}+16640 B \,a^{2} b^{3} d^{4} e^{2}-6400 B a \,b^{4} d^{5} e +1024 B \,b^{5} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{45045 \left(b x +a \right)^{5} e^{7}}"," ",0,"2/45045*(e*x+d)^(3/2)*(3003*B*b^5*e^6*x^6+3465*A*b^5*e^6*x^5+17325*B*a*b^4*e^6*x^5-2772*B*b^5*d*e^5*x^5+20475*A*a*b^4*e^6*x^4-3150*A*b^5*d*e^5*x^4+40950*B*a^2*b^3*e^6*x^4-15750*B*a*b^4*d*e^5*x^4+2520*B*b^5*d^2*e^4*x^4+50050*A*a^2*b^3*e^6*x^3-18200*A*a*b^4*d*e^5*x^3+2800*A*b^5*d^2*e^4*x^3+50050*B*a^3*b^2*e^6*x^3-36400*B*a^2*b^3*d*e^5*x^3+14000*B*a*b^4*d^2*e^4*x^3-2240*B*b^5*d^3*e^3*x^3+64350*A*a^3*b^2*e^6*x^2-42900*A*a^2*b^3*d*e^5*x^2+15600*A*a*b^4*d^2*e^4*x^2-2400*A*b^5*d^3*e^3*x^2+32175*B*a^4*b*e^6*x^2-42900*B*a^3*b^2*d*e^5*x^2+31200*B*a^2*b^3*d^2*e^4*x^2-12000*B*a*b^4*d^3*e^3*x^2+1920*B*b^5*d^4*e^2*x^2+45045*A*a^4*b*e^6*x-51480*A*a^3*b^2*d*e^5*x+34320*A*a^2*b^3*d^2*e^4*x-12480*A*a*b^4*d^3*e^3*x+1920*A*b^5*d^4*e^2*x+9009*B*a^5*e^6*x-25740*B*a^4*b*d*e^5*x+34320*B*a^3*b^2*d^2*e^4*x-24960*B*a^2*b^3*d^3*e^3*x+9600*B*a*b^4*d^4*e^2*x-1536*B*b^5*d^5*e*x+15015*A*a^5*e^6-30030*A*a^4*b*d*e^5+34320*A*a^3*b^2*d^2*e^4-22880*A*a^2*b^3*d^3*e^3+8320*A*a*b^4*d^4*e^2-1280*A*b^5*d^5*e-6006*B*a^5*d*e^5+17160*B*a^4*b*d^2*e^4-22880*B*a^3*b^2*d^3*e^3+16640*B*a^2*b^3*d^4*e^2-6400*B*a*b^4*d^5*e+1024*B*b^5*d^6)*((b*x+a)^2)^(5/2)/e^7/(b*x+a)^5","A"
1855,1,689,347,0.058000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(1/2),x)","\frac{2 \sqrt{e x +d}\, \left(693 B \,b^{5} e^{6} x^{6}+819 A \,b^{5} e^{6} x^{5}+4095 B a \,b^{4} e^{6} x^{5}-756 B \,b^{5} d \,e^{5} x^{5}+5005 A a \,b^{4} e^{6} x^{4}-910 A \,b^{5} d \,e^{5} x^{4}+10010 B \,a^{2} b^{3} e^{6} x^{4}-4550 B a \,b^{4} d \,e^{5} x^{4}+840 B \,b^{5} d^{2} e^{4} x^{4}+12870 A \,a^{2} b^{3} e^{6} x^{3}-5720 A a \,b^{4} d \,e^{5} x^{3}+1040 A \,b^{5} d^{2} e^{4} x^{3}+12870 B \,a^{3} b^{2} e^{6} x^{3}-11440 B \,a^{2} b^{3} d \,e^{5} x^{3}+5200 B a \,b^{4} d^{2} e^{4} x^{3}-960 B \,b^{5} d^{3} e^{3} x^{3}+18018 A \,a^{3} b^{2} e^{6} x^{2}-15444 A \,a^{2} b^{3} d \,e^{5} x^{2}+6864 A a \,b^{4} d^{2} e^{4} x^{2}-1248 A \,b^{5} d^{3} e^{3} x^{2}+9009 B \,a^{4} b \,e^{6} x^{2}-15444 B \,a^{3} b^{2} d \,e^{5} x^{2}+13728 B \,a^{2} b^{3} d^{2} e^{4} x^{2}-6240 B a \,b^{4} d^{3} e^{3} x^{2}+1152 B \,b^{5} d^{4} e^{2} x^{2}+15015 A \,a^{4} b \,e^{6} x -24024 A \,a^{3} b^{2} d \,e^{5} x +20592 A \,a^{2} b^{3} d^{2} e^{4} x -9152 A a \,b^{4} d^{3} e^{3} x +1664 A \,b^{5} d^{4} e^{2} x +3003 B \,a^{5} e^{6} x -12012 B \,a^{4} b d \,e^{5} x +20592 B \,a^{3} b^{2} d^{2} e^{4} x -18304 B \,a^{2} b^{3} d^{3} e^{3} x +8320 B a \,b^{4} d^{4} e^{2} x -1536 B \,b^{5} d^{5} e x +9009 A \,a^{5} e^{6}-30030 A \,a^{4} b d \,e^{5}+48048 A \,a^{3} b^{2} d^{2} e^{4}-41184 A \,a^{2} b^{3} d^{3} e^{3}+18304 A a \,b^{4} d^{4} e^{2}-3328 A \,b^{5} d^{5} e -6006 B \,a^{5} d \,e^{5}+24024 B \,a^{4} b \,d^{2} e^{4}-41184 B \,a^{3} b^{2} d^{3} e^{3}+36608 B \,a^{2} b^{3} d^{4} e^{2}-16640 B a \,b^{4} d^{5} e +3072 B \,b^{5} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{9009 \left(b x +a \right)^{5} e^{7}}"," ",0,"2/9009*(e*x+d)^(1/2)*(693*B*b^5*e^6*x^6+819*A*b^5*e^6*x^5+4095*B*a*b^4*e^6*x^5-756*B*b^5*d*e^5*x^5+5005*A*a*b^4*e^6*x^4-910*A*b^5*d*e^5*x^4+10010*B*a^2*b^3*e^6*x^4-4550*B*a*b^4*d*e^5*x^4+840*B*b^5*d^2*e^4*x^4+12870*A*a^2*b^3*e^6*x^3-5720*A*a*b^4*d*e^5*x^3+1040*A*b^5*d^2*e^4*x^3+12870*B*a^3*b^2*e^6*x^3-11440*B*a^2*b^3*d*e^5*x^3+5200*B*a*b^4*d^2*e^4*x^3-960*B*b^5*d^3*e^3*x^3+18018*A*a^3*b^2*e^6*x^2-15444*A*a^2*b^3*d*e^5*x^2+6864*A*a*b^4*d^2*e^4*x^2-1248*A*b^5*d^3*e^3*x^2+9009*B*a^4*b*e^6*x^2-15444*B*a^3*b^2*d*e^5*x^2+13728*B*a^2*b^3*d^2*e^4*x^2-6240*B*a*b^4*d^3*e^3*x^2+1152*B*b^5*d^4*e^2*x^2+15015*A*a^4*b*e^6*x-24024*A*a^3*b^2*d*e^5*x+20592*A*a^2*b^3*d^2*e^4*x-9152*A*a*b^4*d^3*e^3*x+1664*A*b^5*d^4*e^2*x+3003*B*a^5*e^6*x-12012*B*a^4*b*d*e^5*x+20592*B*a^3*b^2*d^2*e^4*x-18304*B*a^2*b^3*d^3*e^3*x+8320*B*a*b^4*d^4*e^2*x-1536*B*b^5*d^5*e*x+9009*A*a^5*e^6-30030*A*a^4*b*d*e^5+48048*A*a^3*b^2*d^2*e^4-41184*A*a^2*b^3*d^3*e^3+18304*A*a*b^4*d^4*e^2-3328*A*b^5*d^5*e-6006*B*a^5*d*e^5+24024*B*a^4*b*d^2*e^4-41184*B*a^3*b^2*d^3*e^3+36608*B*a^2*b^3*d^4*e^2-16640*B*a*b^4*d^5*e+3072*B*b^5*d^6)*((b*x+a)^2)^(5/2)/e^7/(b*x+a)^5","A"
1856,1,689,347,0.059000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(3/2),x)","-\frac{2 \left(-63 B \,b^{5} e^{6} x^{6}-77 A \,b^{5} e^{6} x^{5}-385 B a \,b^{4} e^{6} x^{5}+84 B \,b^{5} d \,e^{5} x^{5}-495 A a \,b^{4} e^{6} x^{4}+110 A \,b^{5} d \,e^{5} x^{4}-990 B \,a^{2} b^{3} e^{6} x^{4}+550 B a \,b^{4} d \,e^{5} x^{4}-120 B \,b^{5} d^{2} e^{4} x^{4}-1386 A \,a^{2} b^{3} e^{6} x^{3}+792 A a \,b^{4} d \,e^{5} x^{3}-176 A \,b^{5} d^{2} e^{4} x^{3}-1386 B \,a^{3} b^{2} e^{6} x^{3}+1584 B \,a^{2} b^{3} d \,e^{5} x^{3}-880 B a \,b^{4} d^{2} e^{4} x^{3}+192 B \,b^{5} d^{3} e^{3} x^{3}-2310 A \,a^{3} b^{2} e^{6} x^{2}+2772 A \,a^{2} b^{3} d \,e^{5} x^{2}-1584 A a \,b^{4} d^{2} e^{4} x^{2}+352 A \,b^{5} d^{3} e^{3} x^{2}-1155 B \,a^{4} b \,e^{6} x^{2}+2772 B \,a^{3} b^{2} d \,e^{5} x^{2}-3168 B \,a^{2} b^{3} d^{2} e^{4} x^{2}+1760 B a \,b^{4} d^{3} e^{3} x^{2}-384 B \,b^{5} d^{4} e^{2} x^{2}-3465 A \,a^{4} b \,e^{6} x +9240 A \,a^{3} b^{2} d \,e^{5} x -11088 A \,a^{2} b^{3} d^{2} e^{4} x +6336 A a \,b^{4} d^{3} e^{3} x -1408 A \,b^{5} d^{4} e^{2} x -693 B \,a^{5} e^{6} x +4620 B \,a^{4} b d \,e^{5} x -11088 B \,a^{3} b^{2} d^{2} e^{4} x +12672 B \,a^{2} b^{3} d^{3} e^{3} x -7040 B a \,b^{4} d^{4} e^{2} x +1536 B \,b^{5} d^{5} e x +693 A \,a^{5} e^{6}-6930 A \,a^{4} b d \,e^{5}+18480 A \,a^{3} b^{2} d^{2} e^{4}-22176 A \,a^{2} b^{3} d^{3} e^{3}+12672 A a \,b^{4} d^{4} e^{2}-2816 A \,b^{5} d^{5} e -1386 B \,a^{5} d \,e^{5}+9240 B \,a^{4} b \,d^{2} e^{4}-22176 B \,a^{3} b^{2} d^{3} e^{3}+25344 B \,a^{2} b^{3} d^{4} e^{2}-14080 B a \,b^{4} d^{5} e +3072 B \,b^{5} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{693 \sqrt{e x +d}\, \left(b x +a \right)^{5} e^{7}}"," ",0,"-2/693/(e*x+d)^(1/2)*(-63*B*b^5*e^6*x^6-77*A*b^5*e^6*x^5-385*B*a*b^4*e^6*x^5+84*B*b^5*d*e^5*x^5-495*A*a*b^4*e^6*x^4+110*A*b^5*d*e^5*x^4-990*B*a^2*b^3*e^6*x^4+550*B*a*b^4*d*e^5*x^4-120*B*b^5*d^2*e^4*x^4-1386*A*a^2*b^3*e^6*x^3+792*A*a*b^4*d*e^5*x^3-176*A*b^5*d^2*e^4*x^3-1386*B*a^3*b^2*e^6*x^3+1584*B*a^2*b^3*d*e^5*x^3-880*B*a*b^4*d^2*e^4*x^3+192*B*b^5*d^3*e^3*x^3-2310*A*a^3*b^2*e^6*x^2+2772*A*a^2*b^3*d*e^5*x^2-1584*A*a*b^4*d^2*e^4*x^2+352*A*b^5*d^3*e^3*x^2-1155*B*a^4*b*e^6*x^2+2772*B*a^3*b^2*d*e^5*x^2-3168*B*a^2*b^3*d^2*e^4*x^2+1760*B*a*b^4*d^3*e^3*x^2-384*B*b^5*d^4*e^2*x^2-3465*A*a^4*b*e^6*x+9240*A*a^3*b^2*d*e^5*x-11088*A*a^2*b^3*d^2*e^4*x+6336*A*a*b^4*d^3*e^3*x-1408*A*b^5*d^4*e^2*x-693*B*a^5*e^6*x+4620*B*a^4*b*d*e^5*x-11088*B*a^3*b^2*d^2*e^4*x+12672*B*a^2*b^3*d^3*e^3*x-7040*B*a*b^4*d^4*e^2*x+1536*B*b^5*d^5*e*x+693*A*a^5*e^6-6930*A*a^4*b*d*e^5+18480*A*a^3*b^2*d^2*e^4-22176*A*a^2*b^3*d^3*e^3+12672*A*a*b^4*d^4*e^2-2816*A*b^5*d^5*e-1386*B*a^5*d*e^5+9240*B*a^4*b*d^2*e^4-22176*B*a^3*b^2*d^3*e^3+25344*B*a^2*b^3*d^4*e^2-14080*B*a*b^4*d^5*e+3072*B*b^5*d^6)*((b*x+a)^2)^(5/2)/e^7/(b*x+a)^5","A"
1857,1,689,347,0.054000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(5/2),x)","-\frac{2 \left(-7 B \,b^{5} e^{6} x^{6}-9 A \,b^{5} e^{6} x^{5}-45 B a \,b^{4} e^{6} x^{5}+12 B \,b^{5} d \,e^{5} x^{5}-63 A a \,b^{4} e^{6} x^{4}+18 A \,b^{5} d \,e^{5} x^{4}-126 B \,a^{2} b^{3} e^{6} x^{4}+90 B a \,b^{4} d \,e^{5} x^{4}-24 B \,b^{5} d^{2} e^{4} x^{4}-210 A \,a^{2} b^{3} e^{6} x^{3}+168 A a \,b^{4} d \,e^{5} x^{3}-48 A \,b^{5} d^{2} e^{4} x^{3}-210 B \,a^{3} b^{2} e^{6} x^{3}+336 B \,a^{2} b^{3} d \,e^{5} x^{3}-240 B a \,b^{4} d^{2} e^{4} x^{3}+64 B \,b^{5} d^{3} e^{3} x^{3}-630 A \,a^{3} b^{2} e^{6} x^{2}+1260 A \,a^{2} b^{3} d \,e^{5} x^{2}-1008 A a \,b^{4} d^{2} e^{4} x^{2}+288 A \,b^{5} d^{3} e^{3} x^{2}-315 B \,a^{4} b \,e^{6} x^{2}+1260 B \,a^{3} b^{2} d \,e^{5} x^{2}-2016 B \,a^{2} b^{3} d^{2} e^{4} x^{2}+1440 B a \,b^{4} d^{3} e^{3} x^{2}-384 B \,b^{5} d^{4} e^{2} x^{2}+315 A \,a^{4} b \,e^{6} x -2520 A \,a^{3} b^{2} d \,e^{5} x +5040 A \,a^{2} b^{3} d^{2} e^{4} x -4032 A a \,b^{4} d^{3} e^{3} x +1152 A \,b^{5} d^{4} e^{2} x +63 B \,a^{5} e^{6} x -1260 B \,a^{4} b d \,e^{5} x +5040 B \,a^{3} b^{2} d^{2} e^{4} x -8064 B \,a^{2} b^{3} d^{3} e^{3} x +5760 B a \,b^{4} d^{4} e^{2} x -1536 B \,b^{5} d^{5} e x +21 A \,a^{5} e^{6}+210 A \,a^{4} b d \,e^{5}-1680 A \,a^{3} b^{2} d^{2} e^{4}+3360 A \,a^{2} b^{3} d^{3} e^{3}-2688 A a \,b^{4} d^{4} e^{2}+768 A \,b^{5} d^{5} e +42 B \,a^{5} d \,e^{5}-840 B \,a^{4} b \,d^{2} e^{4}+3360 B \,a^{3} b^{2} d^{3} e^{3}-5376 B \,a^{2} b^{3} d^{4} e^{2}+3840 B a \,b^{4} d^{5} e -1024 B \,b^{5} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{63 \left(e x +d \right)^{\frac{3}{2}} \left(b x +a \right)^{5} e^{7}}"," ",0,"-2/63/(e*x+d)^(3/2)*(-7*B*b^5*e^6*x^6-9*A*b^5*e^6*x^5-45*B*a*b^4*e^6*x^5+12*B*b^5*d*e^5*x^5-63*A*a*b^4*e^6*x^4+18*A*b^5*d*e^5*x^4-126*B*a^2*b^3*e^6*x^4+90*B*a*b^4*d*e^5*x^4-24*B*b^5*d^2*e^4*x^4-210*A*a^2*b^3*e^6*x^3+168*A*a*b^4*d*e^5*x^3-48*A*b^5*d^2*e^4*x^3-210*B*a^3*b^2*e^6*x^3+336*B*a^2*b^3*d*e^5*x^3-240*B*a*b^4*d^2*e^4*x^3+64*B*b^5*d^3*e^3*x^3-630*A*a^3*b^2*e^6*x^2+1260*A*a^2*b^3*d*e^5*x^2-1008*A*a*b^4*d^2*e^4*x^2+288*A*b^5*d^3*e^3*x^2-315*B*a^4*b*e^6*x^2+1260*B*a^3*b^2*d*e^5*x^2-2016*B*a^2*b^3*d^2*e^4*x^2+1440*B*a*b^4*d^3*e^3*x^2-384*B*b^5*d^4*e^2*x^2+315*A*a^4*b*e^6*x-2520*A*a^3*b^2*d*e^5*x+5040*A*a^2*b^3*d^2*e^4*x-4032*A*a*b^4*d^3*e^3*x+1152*A*b^5*d^4*e^2*x+63*B*a^5*e^6*x-1260*B*a^4*b*d*e^5*x+5040*B*a^3*b^2*d^2*e^4*x-8064*B*a^2*b^3*d^3*e^3*x+5760*B*a*b^4*d^4*e^2*x-1536*B*b^5*d^5*e*x+21*A*a^5*e^6+210*A*a^4*b*d*e^5-1680*A*a^3*b^2*d^2*e^4+3360*A*a^2*b^3*d^3*e^3-2688*A*a*b^4*d^4*e^2+768*A*b^5*d^5*e+42*B*a^5*d*e^5-840*B*a^4*b*d^2*e^4+3360*B*a^3*b^2*d^3*e^3-5376*B*a^2*b^3*d^4*e^2+3840*B*a*b^4*d^5*e-1024*B*b^5*d^6)*((b*x+a)^2)^(5/2)/e^7/(b*x+a)^5","A"
1858,1,689,347,0.056000," ","int((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(7/2),x)","-\frac{2 \left(-15 B \,b^{5} e^{6} x^{6}-21 A \,b^{5} e^{6} x^{5}-105 B a \,b^{4} e^{6} x^{5}+36 B \,b^{5} d \,e^{5} x^{5}-175 A a \,b^{4} e^{6} x^{4}+70 A \,b^{5} d \,e^{5} x^{4}-350 B \,a^{2} b^{3} e^{6} x^{4}+350 B a \,b^{4} d \,e^{5} x^{4}-120 B \,b^{5} d^{2} e^{4} x^{4}-1050 A \,a^{2} b^{3} e^{6} x^{3}+1400 A a \,b^{4} d \,e^{5} x^{3}-560 A \,b^{5} d^{2} e^{4} x^{3}-1050 B \,a^{3} b^{2} e^{6} x^{3}+2800 B \,a^{2} b^{3} d \,e^{5} x^{3}-2800 B a \,b^{4} d^{2} e^{4} x^{3}+960 B \,b^{5} d^{3} e^{3} x^{3}+1050 A \,a^{3} b^{2} e^{6} x^{2}-6300 A \,a^{2} b^{3} d \,e^{5} x^{2}+8400 A a \,b^{4} d^{2} e^{4} x^{2}-3360 A \,b^{5} d^{3} e^{3} x^{2}+525 B \,a^{4} b \,e^{6} x^{2}-6300 B \,a^{3} b^{2} d \,e^{5} x^{2}+16800 B \,a^{2} b^{3} d^{2} e^{4} x^{2}-16800 B a \,b^{4} d^{3} e^{3} x^{2}+5760 B \,b^{5} d^{4} e^{2} x^{2}+175 A \,a^{4} b \,e^{6} x +1400 A \,a^{3} b^{2} d \,e^{5} x -8400 A \,a^{2} b^{3} d^{2} e^{4} x +11200 A a \,b^{4} d^{3} e^{3} x -4480 A \,b^{5} d^{4} e^{2} x +35 B \,a^{5} e^{6} x +700 B \,a^{4} b d \,e^{5} x -8400 B \,a^{3} b^{2} d^{2} e^{4} x +22400 B \,a^{2} b^{3} d^{3} e^{3} x -22400 B a \,b^{4} d^{4} e^{2} x +7680 B \,b^{5} d^{5} e x +21 A \,a^{5} e^{6}+70 A \,a^{4} b d \,e^{5}+560 A \,a^{3} b^{2} d^{2} e^{4}-3360 A \,a^{2} b^{3} d^{3} e^{3}+4480 A a \,b^{4} d^{4} e^{2}-1792 A \,b^{5} d^{5} e +14 B \,a^{5} d \,e^{5}+280 B \,a^{4} b \,d^{2} e^{4}-3360 B \,a^{3} b^{2} d^{3} e^{3}+8960 B \,a^{2} b^{3} d^{4} e^{2}-8960 B a \,b^{4} d^{5} e +3072 B \,b^{5} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{105 \left(e x +d \right)^{\frac{5}{2}} \left(b x +a \right)^{5} e^{7}}"," ",0,"-2/105/(e*x+d)^(5/2)*(-15*B*b^5*e^6*x^6-21*A*b^5*e^6*x^5-105*B*a*b^4*e^6*x^5+36*B*b^5*d*e^5*x^5-175*A*a*b^4*e^6*x^4+70*A*b^5*d*e^5*x^4-350*B*a^2*b^3*e^6*x^4+350*B*a*b^4*d*e^5*x^4-120*B*b^5*d^2*e^4*x^4-1050*A*a^2*b^3*e^6*x^3+1400*A*a*b^4*d*e^5*x^3-560*A*b^5*d^2*e^4*x^3-1050*B*a^3*b^2*e^6*x^3+2800*B*a^2*b^3*d*e^5*x^3-2800*B*a*b^4*d^2*e^4*x^3+960*B*b^5*d^3*e^3*x^3+1050*A*a^3*b^2*e^6*x^2-6300*A*a^2*b^3*d*e^5*x^2+8400*A*a*b^4*d^2*e^4*x^2-3360*A*b^5*d^3*e^3*x^2+525*B*a^4*b*e^6*x^2-6300*B*a^3*b^2*d*e^5*x^2+16800*B*a^2*b^3*d^2*e^4*x^2-16800*B*a*b^4*d^3*e^3*x^2+5760*B*b^5*d^4*e^2*x^2+175*A*a^4*b*e^6*x+1400*A*a^3*b^2*d*e^5*x-8400*A*a^2*b^3*d^2*e^4*x+11200*A*a*b^4*d^3*e^3*x-4480*A*b^5*d^4*e^2*x+35*B*a^5*e^6*x+700*B*a^4*b*d*e^5*x-8400*B*a^3*b^2*d^2*e^4*x+22400*B*a^2*b^3*d^3*e^3*x-22400*B*a*b^4*d^4*e^2*x+7680*B*b^5*d^5*e*x+21*A*a^5*e^6+70*A*a^4*b*d*e^5+560*A*a^3*b^2*d^2*e^4-3360*A*a^2*b^3*d^3*e^3+4480*A*a*b^4*d^4*e^2-1792*A*b^5*d^5*e+14*B*a^5*d*e^5+280*B*a^4*b*d^2*e^4-3360*B*a^3*b^2*d^3*e^3+8960*B*a^2*b^3*d^4*e^2-8960*B*a*b^4*d^5*e+3072*B*b^5*d^6)*((b*x+a)^2)^(5/2)/e^7/(b*x+a)^5","A"
1859,1,671,210,0.063000," ","int((B*x+A)*(e*x+d)^(5/2)/((b*x+a)^2)^(1/2),x)","\frac{2 \left(b x +a \right) \left(-105 A \,a^{3} b \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+315 A \,a^{2} b^{2} d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-315 A a \,b^{3} d^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+105 A \,b^{4} d^{3} e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+105 B \,a^{4} e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-315 B \,a^{3} b d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+315 B \,a^{2} b^{2} d^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-105 B a \,b^{3} d^{3} e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+105 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,a^{2} b \,e^{3}-210 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A a \,b^{2} d \,e^{2}+105 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,b^{3} d^{2} e -105 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{3} e^{3}+210 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{2} b d \,e^{2}-105 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B a \,b^{2} d^{2} e -35 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A a \,b^{2} e^{2}+35 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A \,b^{3} d e +35 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} b \,e^{2}-35 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B a \,b^{2} d e +21 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} A \,b^{3} e -21 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} B a \,b^{2} e +15 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{7}{2}} B \,b^{3}\right)}{105 \sqrt{\left(b x +a \right)^{2}}\, \sqrt{\left(a e -b d \right) b}\, b^{4} e}"," ",0,"2/105*(b*x+a)*(15*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*b^3+21*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*b^3*e-21*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*a*b^2*e-35*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a*b^2*e^2+35*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*b^3*d*e-105*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^3*b*e^4+315*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^2*b^2*d*e^3-315*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*b^3*d^2*e^2+105*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*b^4*d^3*e+35*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a^2*b*e^2-35*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a*b^2*d*e+105*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^4*e^4-315*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^3*b*d*e^3+315*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^2*b^2*d^2*e^2-105*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*b^3*d^3*e+105*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^2*b*e^3-210*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a*b^2*d*e^2+105*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*b^3*d^2*e-105*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^3*e^3+210*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^2*b*d*e^2-105*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a*b^2*d^2*e)/((b*x+a)^2)^(1/2)/e/b^4/((a*e-b*d)*b)^(1/2)","B"
1860,1,414,166,0.058000," ","int((B*x+A)*(e*x+d)^(3/2)/((b*x+a)^2)^(1/2),x)","\frac{2 \left(b x +a \right) \left(15 A \,a^{2} b \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-30 A a \,b^{2} d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+15 A \,b^{3} d^{2} e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-15 B \,a^{3} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+30 B \,a^{2} b d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-15 B a \,b^{2} d^{2} e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-15 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A a b \,e^{2}+15 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,b^{2} d e +15 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{2} e^{2}-15 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B a b d e +5 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A \,b^{2} e -5 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B a b e +3 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} B \,b^{2}\right)}{15 \sqrt{\left(b x +a \right)^{2}}\, \sqrt{\left(a e -b d \right) b}\, b^{3} e}"," ",0,"2/15*(b*x+a)*(3*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*b^2+5*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*b^2*e+15*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^2*b*e^3-30*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*b^2*d*e^2+15*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*b^3*d^2*e-5*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a*b*e-15*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^3*e^3+30*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^2*b*d*e^2-15*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*b^2*d^2*e-15*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a*b*e^2+15*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*b^2*d*e+15*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^2*e^2-15*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a*b*d*e)/((b*x+a)^2)^(1/2)/e/b^3/((a*e-b*d)*b)^(1/2)","B"
1861,1,226,124,0.062000," ","int((B*x+A)*(e*x+d)^(1/2)/((b*x+a)^2)^(1/2),x)","\frac{2 \left(b x +a \right) \left(-3 A a b \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+3 A \,b^{2} d e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+3 B \,a^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-3 B a b d e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+3 \sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\, A b e -3 \sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\, B a e +\left(e x +d \right)^{\frac{3}{2}} \sqrt{\left(a e -b d \right) b}\, B b \right)}{3 \sqrt{\left(b x +a \right)^{2}}\, \sqrt{\left(a e -b d \right) b}\, b^{2} e}"," ",0,"2/3*(b*x+a)*(-3*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*b*e^2+3*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*b^2*d*e+B*(e*x+d)^(3/2)*((a*e-b*d)*b)^(1/2)*b+3*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^2*e^2-3*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*b*d*e+3*A*(e*x+d)^(1/2)*((a*e-b*d)*b)^(1/2)*b*e-3*B*(e*x+d)^(1/2)*((a*e-b*d)*b)^(1/2)*a*e)/((b*x+a)^2)^(1/2)/e/b^2/((a*e-b*d)*b)^(1/2)","A"
1862,1,110,90,0.058000," ","int((B*x+A)/(e*x+d)^(1/2)/((b*x+a)^2)^(1/2),x)","\frac{2 \left(b x +a \right) \left(A b e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-B a e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+\sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\, B \right)}{\sqrt{\left(b x +a \right)^{2}}\, \sqrt{\left(a e -b d \right) b}\, b e}"," ",0,"2*(b*x+a)*(A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*b*e-B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*e+B*(e*x+d)^(1/2)*((a*e-b*d)*b)^(1/2))/((b*x+a)^2)^(1/2)/e/b/((a*e-b*d)*b)^(1/2)","A"
1863,1,148,104,0.064000," ","int((B*x+A)/(e*x+d)^(3/2)/((b*x+a)^2)^(1/2),x)","-\frac{2 \left(b x +a \right) \left(\sqrt{e x +d}\, A b e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-\sqrt{e x +d}\, B a e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+\sqrt{\left(a e -b d \right) b}\, A e -\sqrt{\left(a e -b d \right) b}\, B d \right)}{\sqrt{\left(b x +a \right)^{2}}\, \left(a e -b d \right) \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, e}"," ",0,"-2*(b*x+a)*(A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*b*e-B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*a*e+A*((a*e-b*d)*b)^(1/2)*e-B*((a*e-b*d)*b)^(1/2)*d)/((b*x+a)^2)^(1/2)/e/(a*e-b*d)/((a*e-b*d)*b)^(1/2)/(e*x+d)^(1/2)","A"
1864,1,235,145,0.073000," ","int((B*x+A)/(e*x+d)^(5/2)/((b*x+a)^2)^(1/2),x)","\frac{2 \left(b x +a \right) \left(3 \left(e x +d \right)^{\frac{3}{2}} A \,b^{2} e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+3 \sqrt{\left(a e -b d \right) b}\, A b \,e^{2} x -3 \left(e x +d \right)^{\frac{3}{2}} B a b e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-3 \sqrt{\left(a e -b d \right) b}\, B a \,e^{2} x -\sqrt{\left(a e -b d \right) b}\, A a \,e^{2}+4 \sqrt{\left(a e -b d \right) b}\, A b d e -2 \sqrt{\left(a e -b d \right) b}\, B a d e -\sqrt{\left(a e -b d \right) b}\, B b \,d^{2}\right)}{3 \sqrt{\left(b x +a \right)^{2}}\, \left(a e -b d \right)^{2} \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} e}"," ",0,"2/3*(b*x+a)*(3*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*b^2*e-3*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*a*b*e+3*A*((a*e-b*d)*b)^(1/2)*x*b*e^2-3*B*((a*e-b*d)*b)^(1/2)*x*a*e^2-A*((a*e-b*d)*b)^(1/2)*a*e^2+4*A*((a*e-b*d)*b)^(1/2)*b*d*e-2*B*((a*e-b*d)*b)^(1/2)*a*d*e-B*((a*e-b*d)*b)^(1/2)*b*d^2)/((b*x+a)^2)^(1/2)/e/(a*e-b*d)^2/((a*e-b*d)*b)^(1/2)/(e*x+d)^(3/2)","A"
1865,1,386,187,0.079000," ","int((B*x+A)/(e*x+d)^(7/2)/((b*x+a)^2)^(1/2),x)","-\frac{2 \left(b x +a \right) \left(15 \sqrt{\left(a e -b d \right) b}\, A \,b^{2} e^{3} x^{2}-15 \sqrt{\left(a e -b d \right) b}\, B a b \,e^{3} x^{2}-5 \sqrt{\left(a e -b d \right) b}\, A a b \,e^{3} x +35 \sqrt{\left(a e -b d \right) b}\, A \,b^{2} d \,e^{2} x +5 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} e^{3} x -35 \sqrt{\left(a e -b d \right) b}\, B a b d \,e^{2} x +3 \sqrt{\left(a e -b d \right) b}\, A \,a^{2} e^{3}-11 \sqrt{\left(a e -b d \right) b}\, A a b d \,e^{2}+15 \left(e x +d \right)^{\frac{5}{2}} A \,b^{3} e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+23 \sqrt{\left(a e -b d \right) b}\, A \,b^{2} d^{2} e +2 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} d \,e^{2}-15 \left(e x +d \right)^{\frac{5}{2}} B a \,b^{2} e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-14 \sqrt{\left(a e -b d \right) b}\, B a b \,d^{2} e -3 \sqrt{\left(a e -b d \right) b}\, B \,b^{2} d^{3}\right)}{15 \sqrt{\left(b x +a \right)^{2}}\, \left(a e -b d \right)^{3} \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} e}"," ",0,"-2/15*(b*x+a)*(15*A*(e*x+d)^(5/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*b^3*e-15*B*(e*x+d)^(5/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*b^2*e+15*A*((a*e-b*d)*b)^(1/2)*x^2*b^2*e^3-15*B*((a*e-b*d)*b)^(1/2)*x^2*a*b*e^3-5*A*((a*e-b*d)*b)^(1/2)*x*a*b*e^3+35*A*((a*e-b*d)*b)^(1/2)*x*b^2*d*e^2+5*B*((a*e-b*d)*b)^(1/2)*x*a^2*e^3-35*B*((a*e-b*d)*b)^(1/2)*x*a*b*d*e^2+3*A*((a*e-b*d)*b)^(1/2)*a^2*e^3-11*A*((a*e-b*d)*b)^(1/2)*a*b*d*e^2+23*A*((a*e-b*d)*b)^(1/2)*b^2*d^2*e+2*B*((a*e-b*d)*b)^(1/2)*a^2*d*e^2-14*B*((a*e-b*d)*b)^(1/2)*a*b*d^2*e-3*B*((a*e-b*d)*b)^(1/2)*b^2*d^3)/((b*x+a)^2)^(1/2)/e/(a*e-b*d)^3/((a*e-b*d)*b)^(1/2)/(e*x+d)^(5/2)","B"
1866,1,1873,309,0.111000," ","int((B*x+A)*(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(525 A \,a^{2} b^{3} e^{5} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-1050 A a \,b^{4} d \,e^{4} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+525 A \,b^{5} d^{2} e^{3} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-945 B \,a^{3} b^{2} e^{5} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+2310 B \,a^{2} b^{3} d \,e^{4} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-1785 B a \,b^{4} d^{2} e^{3} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+420 B \,b^{5} d^{3} e^{2} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+1050 A \,a^{3} b^{2} e^{5} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-2100 A \,a^{2} b^{3} d \,e^{4} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+1050 A a \,b^{4} d^{2} e^{3} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-1890 B \,a^{4} b \,e^{5} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+4620 B \,a^{3} b^{2} d \,e^{4} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-3570 B \,a^{2} b^{3} d^{2} e^{3} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+840 B a \,b^{4} d^{3} e^{2} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+525 A \,a^{4} b \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-1050 A \,a^{3} b^{2} d \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+525 A \,a^{2} b^{3} d^{2} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-945 B \,a^{5} e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+2310 B \,a^{4} b d \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-1785 B \,a^{3} b^{2} d^{2} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+420 B \,a^{2} b^{3} d^{3} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-360 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A a \,b^{3} e^{4} x^{2}+360 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,b^{4} d \,e^{3} x^{2}+720 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{2} b^{2} e^{4} x^{2}-1080 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B a \,b^{3} d \,e^{3} x^{2}+360 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,b^{4} d^{2} e^{2} x^{2}-720 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,a^{2} b^{2} e^{4} x +720 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A a \,b^{3} d \,e^{3} x +40 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A \,b^{4} e^{3} x^{2}+1440 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{3} b \,e^{4} x -2160 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{2} b^{2} d \,e^{3} x +720 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B a \,b^{3} d^{2} e^{2} x -120 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B a \,b^{3} e^{3} x^{2}+80 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,b^{4} d \,e^{2} x^{2}-525 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,a^{3} b \,e^{4}+855 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,a^{2} b^{2} d \,e^{3}-495 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A a \,b^{3} d^{2} e^{2}+80 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A a \,b^{3} e^{3} x +165 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,b^{4} d^{3} e +945 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{4} e^{4}-1815 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{3} b d \,e^{3}+1215 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{2} b^{2} d^{2} e^{2}-240 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} b^{2} e^{3} x -405 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B a \,b^{3} d^{3} e +160 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B a \,b^{3} d \,e^{2} x +60 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,b^{4} d^{4}+24 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} B \,b^{4} e^{2} x^{2}-155 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A \,a^{2} b^{2} e^{3}+390 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A a \,b^{3} d \,e^{2}-195 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A \,b^{4} d^{2} e +135 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,a^{3} b \,e^{3}-490 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} b^{2} d \,e^{2}+375 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B a \,b^{3} d^{2} e +48 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} B a \,b^{3} e^{2} x -60 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,b^{4} d^{3}+24 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} B \,a^{2} b^{2} e^{2}\right) \left(b x +a \right)}{60 \sqrt{\left(a e -b d \right) b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b^{5} e}"," ",0,"1/60*(-155*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a^2*b^2*e^3+720*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x*a*b^3*d^2*e^2+720*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x*a*b^3*d*e^3-2160*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x*a^2*b^2*d*e^3+160*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*x*a*b^3*d*e^2-1080*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^2*a*b^3*d*e^3-945*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^5*e^5+60*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*b^4*d^4+525*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^4*b*e^5-60*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*b^4*d^3+945*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^4*e^4+855*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^2*b^2*d*e^3+360*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^2*b^4*d*e^3+80*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*x^2*b^4*d*e^2-1050*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*a*b^4*d*e^4+48*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*x*a*b^3*e^2-120*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*x^2*a*b^3*e^3-495*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a*b^3*d^2*e^2-1815*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^3*b*d*e^3+1215*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^2*b^2*d^2*e^2-405*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a*b^3*d^3*e-3570*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a^2*b^3*d^2*e^3+840*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a*b^4*d^3*e^2+390*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a*b^3*d*e^2-720*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x*a^2*b^2*e^4-490*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a^2*b^2*d*e^2+375*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a*b^3*d^2*e+1440*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x*a^3*b*e^4+720*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^2*a^2*b^2*e^4+360*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^2*b^4*d^2*e^2+4620*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a^3*b^2*d*e^4+1050*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a*b^4*d^2*e^3-240*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*x*a^2*b^2*e^3-2100*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a^2*b^3*d*e^4+2310*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*a^2*b^3*d*e^4-1785*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*a*b^4*d^2*e^3+80*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*x*a*b^3*e^3-360*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^2*a*b^3*e^4-525*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^3*b*e^4+165*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*b^4*d^3*e+1050*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a^3*b^2*e^5+24*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*a^2*b^2*e^2-1890*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a^4*b*e^5+24*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*x^2*b^4*e^2+40*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*x^2*b^4*e^3+525*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*a^2*b^3*e^5+525*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*b^5*d^2*e^3-945*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*a^3*b^2*e^5+420*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*b^5*d^3*e^2-1050*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^3*b^2*d*e^4+525*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^2*b^3*d^2*e^3+135*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a^3*b*e^3+2310*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^4*b*d*e^4-1785*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^3*b^2*d^2*e^3+420*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^2*b^3*d^3*e^2-195*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*b^4*d^2*e)/e*(b*x+a)/((a*e-b*d)*b)^(1/2)/b^5/((b*x+a)^2)^(3/2)","B"
1867,1,1150,258,0.078000," ","int((B*x+A)*(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(-45 A a \,b^{3} e^{4} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+45 A \,b^{4} d \,e^{3} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+105 B \,a^{2} b^{2} e^{4} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-165 B a \,b^{3} d \,e^{3} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+60 B \,b^{4} d^{2} e^{2} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-90 A \,a^{2} b^{2} e^{4} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+90 A a \,b^{3} d \,e^{3} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+210 B \,a^{3} b \,e^{4} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-330 B \,a^{2} b^{2} d \,e^{3} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+120 B a \,b^{3} d^{2} e^{2} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-45 A \,a^{3} b \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+45 A \,a^{2} b^{2} d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+105 B \,a^{4} e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-165 B \,a^{3} b d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+60 B \,a^{2} b^{2} d^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+24 \sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\, A \,b^{3} e^{3} x^{2}-72 \sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\, B a \,b^{2} e^{3} x^{2}+48 \sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\, B \,b^{3} d \,e^{2} x^{2}+48 \sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\, A a \,b^{2} e^{3} x -144 \sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\, B \,a^{2} b \,e^{3} x +96 \sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\, B a \,b^{2} d \,e^{2} x +8 \left(e x +d \right)^{\frac{3}{2}} \sqrt{\left(a e -b d \right) b}\, B \,b^{3} e^{2} x^{2}+45 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,a^{2} b \,e^{3}-42 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A a \,b^{2} d \,e^{2}+21 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,b^{3} d^{2} e -105 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{3} e^{3}+126 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{2} b d \,e^{2}-57 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B a \,b^{2} d^{2} e +16 \left(e x +d \right)^{\frac{3}{2}} \sqrt{\left(a e -b d \right) b}\, B a \,b^{2} e^{2} x +12 \sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\, B \,b^{3} d^{3}+27 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A a \,b^{2} e^{2}-27 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A \,b^{3} d e -31 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} b \,e^{2}+51 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B a \,b^{2} d e -12 \left(e x +d \right)^{\frac{3}{2}} \sqrt{\left(a e -b d \right) b}\, B \,b^{3} d^{2}\right) \left(b x +a \right)}{12 \sqrt{\left(a e -b d \right) b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b^{4} e}"," ",0,"1/12*(51*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*a*b^2*d*e-42*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*a*b^2*d*e^2+126*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a^2*b*d*e^2-57*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a*b^2*d^2*e+60*B*a^2*b^2*d^2*e^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+21*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*b^3*d^2*e+45*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*a^2*b*e^3+96*B*(e*x+d)^(1/2)*((a*e-b*d)*b)^(1/2)*x*a*b^2*d*e^2+27*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*A*a*b^2*e^2-27*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*A*b^3*d*e+45*A*a^2*b^2*d*e^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-31*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*a^2*b*e^2-165*B*a^3*b*d*e^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+105*B*a^4*e^4*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-45*A*a^3*b*e^4*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-105*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a^3*e^3-12*B*(e*x+d)^(3/2)*((a*e-b*d)*b)^(1/2)*b^3*d^2+12*B*(e*x+d)^(1/2)*((a*e-b*d)*b)^(1/2)*b^3*d^3+48*B*(e*x+d)^(1/2)*((a*e-b*d)*b)^(1/2)*x^2*b^3*d*e^2-330*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a^2*b^2*d*e^3+120*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a*b^3*d^2*e^2+48*A*(e*x+d)^(1/2)*((a*e-b*d)*b)^(1/2)*x*a*b^2*e^3+16*B*(e*x+d)^(3/2)*((a*e-b*d)*b)^(1/2)*x*a*b^2*e^2-72*B*(e*x+d)^(1/2)*((a*e-b*d)*b)^(1/2)*x^2*a*b^2*e^3-144*B*(e*x+d)^(1/2)*((a*e-b*d)*b)^(1/2)*x*a^2*b*e^3-165*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*a*b^3*d*e^3+90*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a*b^3*d*e^3-90*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a^2*b^2*e^4+210*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a^3*b*e^4+8*B*(e*x+d)^(3/2)*((a*e-b*d)*b)^(1/2)*x^2*b^3*e^2+105*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*a^2*b^2*e^4+60*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*b^4*d^2*e^2-45*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*a*b^3*e^4+45*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*b^4*d*e^3+24*A*(e*x+d)^(1/2)*((a*e-b*d)*b)^(1/2)*x^2*b^3*e^3)/e*(b*x+a)/((a*e-b*d)*b)^(1/2)/b^4/((b*x+a)^2)^(3/2)","B"
1868,1,608,212,0.072000," ","int((B*x+A)*(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","-\frac{\left(-3 A \,b^{3} e^{3} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+15 B a \,b^{2} e^{3} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-12 B \,b^{3} d \,e^{2} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-6 A a \,b^{2} e^{3} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+30 B \,a^{2} b \,e^{3} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-24 B a \,b^{2} d \,e^{2} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-3 A \,a^{2} b \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+15 B \,a^{3} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-12 B \,a^{2} b d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-8 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,b^{2} e^{2} x^{2}-16 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B a b \,e^{2} x +3 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A a b \,e^{2}-3 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,b^{2} d e -15 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{2} e^{2}+11 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B a b d e -4 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,b^{2} d^{2}+5 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A \,b^{2} e -9 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B a b e +4 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,b^{2} d \right) \left(b x +a \right)}{4 \sqrt{\left(a e -b d \right) b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b^{3} e}"," ",0,"-1/4*(-3*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*b^3*e^3+15*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*a*b^2*e^3-12*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*b^3*d*e^2-6*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a*b^2*e^3-8*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^2*b^2*e^2+30*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a^2*b*e^3-24*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a*b^2*d*e^2+5*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*A*b^2*e-3*A*a^2*b*e^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-9*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*a*b*e+4*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*b^2*d-16*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x*a*b*e^2+15*B*a^3*e^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-12*B*a^2*b*d*e^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+3*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*a*b*e^2-3*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*b^2*d*e-15*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a^2*e^2+11*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a*b*d*e-4*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*b^2*d^2)/e*(b*x+a)/((a*e-b*d)*b)^(1/2)/b^3/((b*x+a)^2)^(3/2)","B"
1869,1,555,162,0.066000," ","int((B*x+A)*(e*x+d)^(1/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(A \,b^{3} e^{3} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+3 B a \,b^{2} e^{3} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-4 B \,b^{3} d \,e^{2} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+2 A a \,b^{2} e^{3} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+6 B \,a^{2} b \,e^{3} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-8 B a \,b^{2} d \,e^{2} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+A \,a^{2} b \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+3 B \,a^{3} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-4 B \,a^{2} b d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-\sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A a b \,e^{2}+\sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,b^{2} d e -3 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{2} e^{2}+7 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B a b d e -4 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,b^{2} d^{2}+\sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A \,b^{2} e -5 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B a b e +4 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,b^{2} d \right) \left(b x +a \right)}{4 \sqrt{\left(a e -b d \right) b}\, \left(a e -b d \right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b^{2} e}"," ",0,"1/4*(A*b^3*e^3*x^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+3*B*a*b^2*e^3*x^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-4*B*b^3*d*e^2*x^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+2*A*a*b^2*e^3*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+6*B*a^2*b*e^3*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-8*B*a*b^2*d*e^2*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*A*b^2*e+A*a^2*b*e^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-5*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*a*b*e+4*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*b^2*d+3*B*a^3*e^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-4*B*a^2*b*d*e^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*a*b*e^2+((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*b^2*d*e-3*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a^2*e^2+7*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a*b*d*e-4*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*b^2*d^2)/e*(b*x+a)/((a*e-b*d)*b)^(1/2)/b^2/(a*e-b*d)/((b*x+a)^2)^(3/2)","B"
1870,1,556,162,0.072000," ","int((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(1/2),x)","\frac{\left(b x +a \right) \left(3 A \,b^{3} e^{3} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+B a \,b^{2} e^{3} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-4 B \,b^{3} d \,e^{2} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+6 A a \,b^{2} e^{3} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+2 B \,a^{2} b \,e^{3} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-8 B a \,b^{2} d \,e^{2} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+3 A \,a^{2} b \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+B \,a^{3} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-4 B \,a^{2} b d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+5 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A a b \,e^{2}-5 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,b^{2} d e -\sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{2} e^{2}-3 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B a b d e +4 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,b^{2} d^{2}+3 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A \,b^{2} e +\sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B a b e -4 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,b^{2} d \right)}{4 \sqrt{\left(a e -b d \right) b}\, \left(a e -b d \right)^{2} \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b e}"," ",0,"1/4*(b*x+a)/e*(3*A*b^3*e^3*x^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+B*a*b^2*e^3*x^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-4*B*b^3*d*e^2*x^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+6*A*a*b^2*e^3*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+2*B*a^2*b*e^3*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-8*B*a*b^2*d*e^2*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+3*A*a^2*b*e^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+3*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*A*b^2*e+B*a^3*e^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-4*B*a^2*b*d*e^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*a*b*e-4*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*b^2*d+5*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*a*b*e^2-5*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*b^2*d*e-((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a^2*e^2-3*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a*b*d*e+4*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*b^2*d^2)/((a*e-b*d)*b)^(1/2)/b/(a*e-b*d)^2/((b*x+a)^2)^(3/2)","B"
1871,1,681,213,0.079000," ","int((B*x+A)/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","-\frac{\left(15 \sqrt{e x +d}\, A \,b^{3} e^{2} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-3 \sqrt{e x +d}\, B a \,b^{2} e^{2} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-12 \sqrt{e x +d}\, B \,b^{3} d e \,x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+30 \sqrt{e x +d}\, A a \,b^{2} e^{2} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-6 \sqrt{e x +d}\, B \,a^{2} b \,e^{2} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-24 \sqrt{e x +d}\, B a \,b^{2} d e x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+15 \sqrt{e x +d}\, A \,a^{2} b \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+15 \sqrt{\left(a e -b d \right) b}\, A \,b^{2} e^{2} x^{2}-3 \sqrt{e x +d}\, B \,a^{3} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-12 \sqrt{e x +d}\, B \,a^{2} b d e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-3 \sqrt{\left(a e -b d \right) b}\, B a b \,e^{2} x^{2}-12 \sqrt{\left(a e -b d \right) b}\, B \,b^{2} d e \,x^{2}+25 \sqrt{\left(a e -b d \right) b}\, A a b \,e^{2} x +5 \sqrt{\left(a e -b d \right) b}\, A \,b^{2} d e x -5 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} e^{2} x -21 \sqrt{\left(a e -b d \right) b}\, B a b d e x -4 \sqrt{\left(a e -b d \right) b}\, B \,b^{2} d^{2} x +8 \sqrt{\left(a e -b d \right) b}\, A \,a^{2} e^{2}+9 \sqrt{\left(a e -b d \right) b}\, A a b d e -2 \sqrt{\left(a e -b d \right) b}\, A \,b^{2} d^{2}-13 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} d e -2 \sqrt{\left(a e -b d \right) b}\, B a b \,d^{2}\right) \left(b x +a \right)}{4 \sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\, \left(a e -b d \right)^{3} \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}"," ",0,"-1/4*(15*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*x^2*b^3*e^2-3*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*x^2*a*b^2*e^2-12*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*x^2*b^3*d*e+30*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*x*a*b^2*e^2-6*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*x*a^2*b*e^2-24*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*x*a*b^2*d*e+15*A*((a*e-b*d)*b)^(1/2)*x^2*b^2*e^2+15*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*a^2*b*e^2-3*B*((a*e-b*d)*b)^(1/2)*x^2*a*b*e^2-12*B*((a*e-b*d)*b)^(1/2)*x^2*b^2*d*e-3*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*a^3*e^2-12*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*a^2*b*d*e+25*A*((a*e-b*d)*b)^(1/2)*x*a*b*e^2+5*A*((a*e-b*d)*b)^(1/2)*x*b^2*d*e-5*B*((a*e-b*d)*b)^(1/2)*x*a^2*e^2-21*B*((a*e-b*d)*b)^(1/2)*x*a*b*d*e-4*B*((a*e-b*d)*b)^(1/2)*x*b^2*d^2+8*A*((a*e-b*d)*b)^(1/2)*a^2*e^2+9*A*((a*e-b*d)*b)^(1/2)*a*b*d*e-2*A*((a*e-b*d)*b)^(1/2)*b^2*d^2-13*B*((a*e-b*d)*b)^(1/2)*a^2*d*e-2*B*((a*e-b*d)*b)^(1/2)*a*b*d^2)*(b*x+a)/(e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)/(a*e-b*d)^3/((b*x+a)^2)^(3/2)","B"
1872,1,928,265,0.129000," ","int((B*x+A)/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(105 \left(e x +d \right)^{\frac{3}{2}} A \,b^{4} e^{2} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+105 \sqrt{\left(a e -b d \right) b}\, A \,b^{3} e^{3} x^{3}-45 \left(e x +d \right)^{\frac{3}{2}} B a \,b^{3} e^{2} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-45 \sqrt{\left(a e -b d \right) b}\, B a \,b^{2} e^{3} x^{3}-60 \left(e x +d \right)^{\frac{3}{2}} B \,b^{4} d e \,x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-60 \sqrt{\left(a e -b d \right) b}\, B \,b^{3} d \,e^{2} x^{3}+210 \left(e x +d \right)^{\frac{3}{2}} A a \,b^{3} e^{2} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+175 \sqrt{\left(a e -b d \right) b}\, A a \,b^{2} e^{3} x^{2}+140 \sqrt{\left(a e -b d \right) b}\, A \,b^{3} d \,e^{2} x^{2}-90 \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} b^{2} e^{2} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-75 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} b \,e^{3} x^{2}-120 \left(e x +d \right)^{\frac{3}{2}} B a \,b^{3} d e x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-160 \sqrt{\left(a e -b d \right) b}\, B a \,b^{2} d \,e^{2} x^{2}-80 \sqrt{\left(a e -b d \right) b}\, B \,b^{3} d^{2} e \,x^{2}+105 \left(e x +d \right)^{\frac{3}{2}} A \,a^{2} b^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+56 \sqrt{\left(a e -b d \right) b}\, A \,a^{2} b \,e^{3} x +238 \sqrt{\left(a e -b d \right) b}\, A a \,b^{2} d \,e^{2} x +21 \sqrt{\left(a e -b d \right) b}\, A \,b^{3} d^{2} e x -45 \left(e x +d \right)^{\frac{3}{2}} B \,a^{3} b \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-24 \sqrt{\left(a e -b d \right) b}\, B \,a^{3} e^{3} x -60 \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} b^{2} d e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-134 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} b d \,e^{2} x -145 \sqrt{\left(a e -b d \right) b}\, B a \,b^{2} d^{2} e x -12 \sqrt{\left(a e -b d \right) b}\, B \,b^{3} d^{3} x -8 \sqrt{\left(a e -b d \right) b}\, A \,a^{3} e^{3}+80 \sqrt{\left(a e -b d \right) b}\, A \,a^{2} b d \,e^{2}+39 \sqrt{\left(a e -b d \right) b}\, A a \,b^{2} d^{2} e -6 \sqrt{\left(a e -b d \right) b}\, A \,b^{3} d^{3}-16 \sqrt{\left(a e -b d \right) b}\, B \,a^{3} d \,e^{2}-83 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} b \,d^{2} e -6 \sqrt{\left(a e -b d \right) b}\, B a \,b^{2} d^{3}\right) \left(b x +a \right)}{12 \left(e x +d \right)^{\frac{3}{2}} \sqrt{\left(a e -b d \right) b}\, \left(a e -b d \right)^{4} \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}"," ",0,"1/12*(105*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*a^2*b^2*e^2-120*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*x*a*b^3*d*e-8*A*((a*e-b*d)*b)^(1/2)*a^3*e^3-6*A*((a*e-b*d)*b)^(1/2)*b^3*d^3-16*B*((a*e-b*d)*b)^(1/2)*a^3*d*e^2-6*B*((a*e-b*d)*b)^(1/2)*a*b^2*d^3+80*A*((a*e-b*d)*b)^(1/2)*a^2*b*d*e^2+39*A*((a*e-b*d)*b)^(1/2)*a*b^2*d^2*e-83*B*((a*e-b*d)*b)^(1/2)*a^2*b*d^2*e+105*A*((a*e-b*d)*b)^(1/2)*x^3*b^3*e^3-24*B*((a*e-b*d)*b)^(1/2)*x*a^3*e^3-12*B*((a*e-b*d)*b)^(1/2)*x*b^3*d^3-45*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*x^2*a*b^3*e^2-60*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*x^2*b^4*d*e+210*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*x*a*b^3*e^2-90*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*x*a^2*b^2*e^2-60*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*a^2*b^2*d*e-160*B*((a*e-b*d)*b)^(1/2)*x^2*a*b^2*d*e^2+238*A*((a*e-b*d)*b)^(1/2)*x*a*b^2*d*e^2-134*B*((a*e-b*d)*b)^(1/2)*x*a^2*b*d*e^2-145*B*((a*e-b*d)*b)^(1/2)*x*a*b^2*d^2*e+21*A*((a*e-b*d)*b)^(1/2)*x*b^3*d^2*e+105*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*x^2*b^4*e^2-75*B*((a*e-b*d)*b)^(1/2)*x^2*a^2*b*e^3-80*B*((a*e-b*d)*b)^(1/2)*x^2*b^3*d^2*e+56*A*((a*e-b*d)*b)^(1/2)*x*a^2*b*e^3-45*B*((a*e-b*d)*b)^(1/2)*x^3*a*b^2*e^3-60*B*((a*e-b*d)*b)^(1/2)*x^3*b^3*d*e^2-45*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*a^3*b*e^2+175*A*((a*e-b*d)*b)^(1/2)*x^2*a*b^2*e^3+140*A*((a*e-b*d)*b)^(1/2)*x^2*b^3*d*e^2)*(b*x+a)/(e*x+d)^(3/2)/((a*e-b*d)*b)^(1/2)/(a*e-b*d)^4/((b*x+a)^2)^(3/2)","B"
1873,1,1230,316,0.083000," ","int((B*x+A)/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","-\frac{\left(945 \sqrt{\left(a e -b d \right) b}\, A \,b^{4} e^{4} x^{4}-525 \sqrt{\left(a e -b d \right) b}\, B a \,b^{3} e^{4} x^{4}-420 \sqrt{\left(a e -b d \right) b}\, B \,b^{4} d \,e^{3} x^{4}+1575 \sqrt{\left(a e -b d \right) b}\, A a \,b^{3} e^{4} x^{3}+2205 \sqrt{\left(a e -b d \right) b}\, A \,b^{4} d \,e^{3} x^{3}-875 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} b^{2} e^{4} x^{3}-1925 \sqrt{\left(a e -b d \right) b}\, B a \,b^{3} d \,e^{3} x^{3}-980 \sqrt{\left(a e -b d \right) b}\, B \,b^{4} d^{2} e^{2} x^{3}+504 \sqrt{\left(a e -b d \right) b}\, A \,a^{2} b^{2} e^{4} x^{2}+3717 \sqrt{\left(a e -b d \right) b}\, A a \,b^{3} d \,e^{3} x^{2}+945 \left(e x +d \right)^{\frac{5}{2}} A \,b^{5} e^{2} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+1449 \sqrt{\left(a e -b d \right) b}\, A \,b^{4} d^{2} e^{2} x^{2}-280 \sqrt{\left(a e -b d \right) b}\, B \,a^{3} b \,e^{4} x^{2}-2289 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} b^{2} d \,e^{3} x^{2}-525 \left(e x +d \right)^{\frac{5}{2}} B a \,b^{4} e^{2} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-2457 \sqrt{\left(a e -b d \right) b}\, B a \,b^{3} d^{2} e^{2} x^{2}-420 \left(e x +d \right)^{\frac{5}{2}} B \,b^{5} d e \,x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-644 \sqrt{\left(a e -b d \right) b}\, B \,b^{4} d^{3} e \,x^{2}-72 \sqrt{\left(a e -b d \right) b}\, A \,a^{3} b \,e^{4} x +1224 \sqrt{\left(a e -b d \right) b}\, A \,a^{2} b^{2} d \,e^{3} x +1890 \left(e x +d \right)^{\frac{5}{2}} A a \,b^{4} e^{2} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+2493 \sqrt{\left(a e -b d \right) b}\, A a \,b^{3} d^{2} e^{2} x +135 \sqrt{\left(a e -b d \right) b}\, A \,b^{4} d^{3} e x +40 \sqrt{\left(a e -b d \right) b}\, B \,a^{4} e^{4} x -648 \sqrt{\left(a e -b d \right) b}\, B \,a^{3} b d \,e^{3} x -1050 \left(e x +d \right)^{\frac{5}{2}} B \,a^{2} b^{3} e^{2} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-1929 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} b^{2} d^{2} e^{2} x -840 \left(e x +d \right)^{\frac{5}{2}} B a \,b^{4} d e x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-1183 \sqrt{\left(a e -b d \right) b}\, B a \,b^{3} d^{3} e x -60 \sqrt{\left(a e -b d \right) b}\, B \,b^{4} d^{4} x +24 \sqrt{\left(a e -b d \right) b}\, A \,a^{4} e^{4}-168 \sqrt{\left(a e -b d \right) b}\, A \,a^{3} b d \,e^{3}+945 \left(e x +d \right)^{\frac{5}{2}} A \,a^{2} b^{3} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+864 \sqrt{\left(a e -b d \right) b}\, A \,a^{2} b^{2} d^{2} e^{2}+255 \sqrt{\left(a e -b d \right) b}\, A a \,b^{3} d^{3} e -30 \sqrt{\left(a e -b d \right) b}\, A \,b^{4} d^{4}+16 \sqrt{\left(a e -b d \right) b}\, B \,a^{4} d \,e^{3}-525 \left(e x +d \right)^{\frac{5}{2}} B \,a^{3} b^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-272 \sqrt{\left(a e -b d \right) b}\, B \,a^{3} b \,d^{2} e^{2}-420 \left(e x +d \right)^{\frac{5}{2}} B \,a^{2} b^{3} d e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-659 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} b^{2} d^{3} e -30 \sqrt{\left(a e -b d \right) b}\, B a \,b^{3} d^{4}\right) \left(b x +a \right)}{60 \left(e x +d \right)^{\frac{5}{2}} \sqrt{\left(a e -b d \right) b}\, \left(a e -b d \right)^{5} \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}"," ",0,"-1/60*(945*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*x^2*b^5*e^2-30*A*((a*e-b*d)*b)^(1/2)*b^4*d^4+16*B*((a*e-b*d)*b)^(1/2)*a^4*d*e^3-840*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*x*a*b^4*d*e+24*A*((a*e-b*d)*b)^(1/2)*a^4*e^4+945*A*((a*e-b*d)*b)^(1/2)*x^4*b^4*e^4+40*B*((a*e-b*d)*b)^(1/2)*x*a^4*e^4-60*B*((a*e-b*d)*b)^(1/2)*x*b^4*d^4-30*B*((a*e-b*d)*b)^(1/2)*a*b^3*d^4-525*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*a^3*b^2*e^2+1575*A*((a*e-b*d)*b)^(1/2)*x^3*a*b^3*e^4+2205*A*((a*e-b*d)*b)^(1/2)*x^3*b^4*d*e^3-875*B*((a*e-b*d)*b)^(1/2)*x^3*a^2*b^2*e^4-980*B*((a*e-b*d)*b)^(1/2)*x^3*b^4*d^2*e^2+504*A*((a*e-b*d)*b)^(1/2)*x^2*a^2*b^2*e^4+1449*A*((a*e-b*d)*b)^(1/2)*x^2*b^4*d^2*e^2-280*B*((a*e-b*d)*b)^(1/2)*x^2*a^3*b*e^4-644*B*((a*e-b*d)*b)^(1/2)*x^2*b^4*d^3*e-72*A*((a*e-b*d)*b)^(1/2)*x*a^3*b*e^4+135*A*((a*e-b*d)*b)^(1/2)*x*b^4*d^3*e+945*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*a^2*b^3*e^2-525*B*((a*e-b*d)*b)^(1/2)*x^4*a*b^3*e^4-420*B*((a*e-b*d)*b)^(1/2)*x^4*b^4*d*e^3-168*A*((a*e-b*d)*b)^(1/2)*a^3*b*d*e^3+864*A*((a*e-b*d)*b)^(1/2)*a^2*b^2*d^2*e^2+255*A*((a*e-b*d)*b)^(1/2)*a*b^3*d^3*e-272*B*((a*e-b*d)*b)^(1/2)*a^3*b*d^2*e^2-659*B*((a*e-b*d)*b)^(1/2)*a^2*b^2*d^3*e-2289*B*((a*e-b*d)*b)^(1/2)*x^2*a^2*b^2*d*e^3-2457*B*((a*e-b*d)*b)^(1/2)*x^2*a*b^3*d^2*e^2+1224*A*((a*e-b*d)*b)^(1/2)*x*a^2*b^2*d*e^3+2493*A*((a*e-b*d)*b)^(1/2)*x*a*b^3*d^2*e^2-648*B*((a*e-b*d)*b)^(1/2)*x*a^3*b*d*e^3-1929*B*((a*e-b*d)*b)^(1/2)*x*a^2*b^2*d^2*e^2-1183*B*((a*e-b*d)*b)^(1/2)*x*a*b^3*d^3*e-525*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*x^2*a*b^4*e^2-420*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*x^2*b^5*d*e+1890*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*x*a*b^4*e^2-1050*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*x*a^2*b^3*e^2-420*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*a^2*b^3*d*e-1925*B*((a*e-b*d)*b)^(1/2)*x^3*a*b^3*d*e^3+3717*A*((a*e-b*d)*b)^(1/2)*x^2*a*b^3*d*e^3)*(b*x+a)/(e*x+d)^(5/2)/((a*e-b*d)*b)^(1/2)/(a*e-b*d)^5/((b*x+a)^2)^(3/2)","B"
1874,1,3768,429,0.162000," ","int((B*x+A)*(e*x+d)^(11/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\text{output too large to display}"," ",0,"-1/960*(-10240*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*x*a^3*b^3*d*e^4-76800*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^3*a*b^5*d^2*e^4-57600*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^2*a^2*b^4*d*e^5-117810*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^6*b*d*e^6+288000*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^2*a^3*b^3*d*e^5-115200*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^2*a^2*b^4*d^2*e^4-38400*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x*a^3*b^3*d*e^5-76800*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x*a^3*b^3*d^2*e^4+192000*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x*a^4*b^2*d*e^5-10240*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*x^3*a*b^5*d*e^4+48000*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^4*a*b^5*d*e^5-38400*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^3*a*b^5*d*e^5-15360*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*x^2*a^2*b^4*d*e^4+192000*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^3*a^2*b^4*d*e^5+45045*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^7*e^7+10680*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*b^6*d^3-29560*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*b^6*d^4-17325*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^6*b*e^7+27400*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*b^6*d^5-45045*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^6*e^6-8520*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*b^6*d^6-27720*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^4*b^7*d^3*e^4-69300*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^3*a^3*b^4*e^7+180180*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^3*a^4*b^3*e^7+11475*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*a^2*b^4*e^3+11475*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*b^6*d^2*e-103950*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*a^4*b^3*e^7-22155*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*a^3*b^3*e^3+270270*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*a^5*b^2*e^7+29275*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*a^3*b^3*e^4-29275*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*b^6*d^3*e-69300*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a^5*b^2*e^7-59219*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*a^4*b^2*e^4+180180*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a^6*b*e^7+25125*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a^4*b^2*e^5+25765*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*b^6*d^4*e+34650*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^5*b^2*d*e^6-17325*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^4*b^3*d^2*e^5-49965*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a^5*b*e^5+100485*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^5*b^2*d^2*e^5-27720*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^4*b^3*d^3*e^4+17325*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^5*b*e^6-7725*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*b^6*d^5*e-384*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*x^4*b^6*e^4-640*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*x^4*b^6*e^5-17325*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^4*a^2*b^5*e^7-17325*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^4*b^7*d^2*e^5+45045*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^4*a^3*b^4*e^7+34650*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^4*a*b^6*d*e^6-1536*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*x^3*a*b^5*e^4+3200*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*x^4*a*b^5*e^5-2560*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*x^4*b^6*d*e^4-117810*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^4*a^2*b^5*d*e^6+100485*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^4*a*b^6*d^2*e^5-2560*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*x^3*a*b^5*e^5+9600*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^4*a*b^5*e^6-9600*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^4*b^6*d*e^5-115200*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x*a^5*b*e^6-48225*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^4*b^2*d*e^5+77250*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^3*b^3*d^2*e^4-77250*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^2*b^4*d^3*e^3+38625*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a*b^5*d^4*e^2+137745*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^5*b*d*e^5-224250*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^4*b^2*d^2*e^4+247650*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^3*b^3*d^3*e^3-166425*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^2*b^4*d^4*e^2+377060*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a^2*b^4*d^3*e^2-162765*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a*b^5*d^4*e-265185*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*a^2*b^4*d^2*e^2+147515*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*a*b^5*d^3*e+12800*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*x*a^4*b^2*e^5-1536*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*x*a^3*b^3*e^4+19200*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*x^2*a^3*b^3*e^5-115200*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^3*a^3*b^3*e^6-706860*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*a^4*b^3*d*e^6+602910*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*a^3*b^4*d^2*e^5-166320*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*a^2*b^5*d^3*e^4-87825*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*a^2*b^4*d*e^3+87825*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*a*b^5*d^2*e^2-2560*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*x*a^3*b^3*e^5+57600*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^2*a^3*b^3*e^6+138600*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a^4*b^3*d*e^6-69300*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a^3*b^4*d^2*e^5+206065*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*a^3*b^3*d*e^3-172800*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^2*a^4*b^2*e^6-471240*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a^5*b^2*d*e^6+401940*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a^4*b^3*d^2*e^5-110880*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a^3*b^4*d^3*e^4-103060*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a^3*b^3*d*e^4+154590*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a^2*b^4*d^2*e^3-103060*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a*b^5*d^3*e^2+38400*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x*a^4*b^2*e^6+237500*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a^4*b^2*d*e^4-428590*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a^3*b^3*d^2*e^3+58845*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a*b^5*d^5*e+138600*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^3*a^2*b^5*d*e^6-69300*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^3*a*b^6*d^2*e^5-2304*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*x^2*a^2*b^4*e^4+12800*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*x^3*a^2*b^4*e^5-28800*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^4*a^2*b^4*e^6-19200*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^4*b^6*d^2*e^4-471240*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^3*a^3*b^4*d*e^6+401940*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^3*a^2*b^5*d^2*e^5-110880*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^3*a*b^6*d^3*e^4-22950*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*a*b^5*d*e^2-3840*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*x^2*a^2*b^4*e^5+38400*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^3*a^2*b^4*e^6+207900*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*a^3*b^4*d*e^6-103950*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*a^2*b^5*d^2*e^5+54990*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*a^2*b^4*d*e^2-43515*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*a*b^5*d^2*e)/e*(b*x+a)/((a*e-b*d)*b)^(1/2)/b^7/((b*x+a)^2)^(5/2)","B"
1875,1,2430,376,0.135000," ","int((B*x+A)*(e*x+d)^(9/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(-945 A a \,b^{5} e^{6} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+945 A \,b^{6} d \,e^{5} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+3465 B \,a^{2} b^{4} e^{6} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-5985 B a \,b^{5} d \,e^{5} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+2520 B \,b^{6} d^{2} e^{4} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-3780 A \,a^{2} b^{4} e^{6} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+3780 A a \,b^{5} d \,e^{5} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+13860 B \,a^{3} b^{3} e^{6} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-23940 B \,a^{2} b^{4} d \,e^{5} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+10080 B a \,b^{5} d^{2} e^{4} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-5670 A \,a^{3} b^{3} e^{6} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+5670 A \,a^{2} b^{4} d \,e^{5} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+20790 B \,a^{4} b^{2} e^{6} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-35910 B \,a^{3} b^{3} d \,e^{5} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+15120 B \,a^{2} b^{4} d^{2} e^{4} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-3780 A \,a^{4} b^{2} e^{6} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+3780 A \,a^{3} b^{3} d \,e^{5} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+384 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,b^{5} e^{5} x^{4}+13860 B \,a^{5} b \,e^{6} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-23940 B \,a^{4} b^{2} d \,e^{5} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+10080 B \,a^{3} b^{3} d^{2} e^{4} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-1920 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B a \,b^{4} e^{5} x^{4}+1536 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,b^{5} d \,e^{4} x^{4}-945 A \,a^{5} b \,e^{6} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+945 A \,a^{4} b^{2} d \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+1536 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A a \,b^{4} e^{5} x^{3}+3465 B \,a^{6} e^{6} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-5985 B \,a^{5} b d \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+2520 B \,a^{4} b^{2} d^{2} e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-7680 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{2} b^{3} e^{5} x^{3}+6144 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B a \,b^{4} d \,e^{4} x^{3}+128 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,b^{5} e^{4} x^{4}+2304 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,a^{2} b^{3} e^{5} x^{2}-11520 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{3} b^{2} e^{5} x^{2}+9216 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{2} b^{3} d \,e^{4} x^{2}+512 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B a \,b^{4} e^{4} x^{3}+1536 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,a^{3} b^{2} e^{5} x -7680 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{4} b \,e^{5} x +6144 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{3} b^{2} d \,e^{4} x +768 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} b^{3} e^{4} x^{2}+945 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,a^{4} b \,e^{5}-2244 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,a^{3} b^{2} d \,e^{4}+3366 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,a^{2} b^{3} d^{2} e^{3}-2244 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A a \,b^{4} d^{3} e^{2}+561 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,b^{5} d^{4} e -3465 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{5} e^{5}+8700 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{4} b d \,e^{4}-13206 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{3} b^{2} d^{2} e^{3}+512 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,a^{3} b^{2} e^{4} x +12084 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{2} b^{3} d^{3} e^{2}-5481 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B a \,b^{4} d^{4} e +984 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,b^{5} d^{5}+1929 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A \,a^{3} b^{2} e^{4}-5787 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A \,a^{2} b^{3} d \,e^{3}+5787 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A a \,b^{4} d^{2} e^{2}-1929 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A \,b^{5} d^{3} e -5025 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,a^{4} b \,e^{4}+18683 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,a^{3} b^{2} d \,e^{3}-25131 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} b^{3} d^{2} e^{2}+14825 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B a \,b^{4} d^{3} e -3224 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,b^{5} d^{4}+2295 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} A \,a^{2} b^{3} e^{3}-4590 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} A a \,b^{4} d \,e^{2}+2295 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} A \,b^{5} d^{2} e -5855 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} B \,a^{3} b^{2} e^{3}+15270 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} B \,a^{2} b^{3} d \,e^{2}-12975 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} B a \,b^{4} d^{2} e +3560 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} B \,b^{5} d^{3}+975 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{7}{2}} A a \,b^{4} e^{2}-975 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{7}{2}} A \,b^{5} d e -2295 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{7}{2}} B \,a^{2} b^{3} e^{2}+3615 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{7}{2}} B a \,b^{4} d e -1320 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{7}{2}} B \,b^{5} d^{2}\right) \left(b x +a \right)}{192 \sqrt{\left(a e -b d \right) b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{6} e}"," ",0,"1/192*(-3780*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a^4*b^2*e^6+6144*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^3*a*b^4*d*e^4+3465*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^6*e^6+9216*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^2*a^2*b^3*d*e^4+6144*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x*a^3*b^2*d*e^4+3560*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*b^5*d^3-945*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^5*b*e^6-3224*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*b^5*d^4-3465*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^5*e^5+984*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*b^5*d^5-1320*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*b^5*d^2+1536*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^3*a*b^4*e^5+5670*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*a^2*b^4*d*e^5+3615*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*a*b^4*d*e+768*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*x^2*a^2*b^3*e^4-7680*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^3*a^2*b^3*e^5-35910*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*a^3*b^3*d*e^5+15120*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*a^2*b^4*d^2*e^4-4590*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*a*b^4*d*e^2-5985*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^4*a*b^5*d*e^5+3780*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^3*a*b^5*d*e^5+512*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*x^3*a*b^4*e^4-1920*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^4*a*b^4*e^5+1536*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^4*b^5*d*e^4-23940*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^3*a^2*b^4*d*e^5+10080*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^3*a*b^5*d^2*e^4+8700*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^4*b*d*e^4-13206*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^3*b^2*d^2*e^3+12084*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^2*b^3*d^3*e^2-5481*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a*b^4*d^4*e+2304*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^2*a^2*b^3*e^5+3780*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a^3*b^3*d*e^5+15270*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*a^2*b^3*d*e^2+18683*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a^3*b^2*d*e^3-25131*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a^2*b^3*d^2*e^2+14825*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a*b^4*d^3*e-7680*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x*a^4*b*e^5-2244*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^3*b^2*d*e^4-23940*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a^4*b^2*d*e^5+10080*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a^3*b^3*d^2*e^4-5787*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a^2*b^3*d*e^3+5787*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a*b^4*d^2*e^2+1536*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x*a^3*b^2*e^5+3366*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^2*b^3*d^2*e^3-2244*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a*b^4*d^3*e^2-5855*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*a^3*b^2*e^3+13860*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a^5*b*e^6+1929*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a^3*b^2*e^4-1929*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*b^5*d^3*e+945*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^4*b^2*d*e^5-5025*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a^4*b*e^4-5985*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^5*b*d*e^5+2520*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^4*b^2*d^2*e^4+945*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^4*b*e^5+561*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*b^5*d^4*e-2295*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*a^2*b^3*e^2+20790*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*a^4*b^2*e^6+2295*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*a^2*b^3*e^3+2295*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*b^5*d^2*e-975*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*b^5*d*e-5670*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*a^3*b^3*e^6-945*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^4*a*b^5*e^6+945*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^4*b^6*d*e^5+128*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*x^4*b^5*e^4+3465*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^4*a^2*b^4*e^6+2520*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^4*b^6*d^2*e^4+384*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^4*b^5*e^5-3780*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^3*a^2*b^4*e^6+13860*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^3*a^3*b^3*e^6+975*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*a*b^4*e^2-12975*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*a*b^4*d^2*e+512*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*x*a^3*b^2*e^4-11520*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^2*a^3*b^2*e^5)/e*(b*x+a)/((a*e-b*d)*b)^(1/2)/b^6/((b*x+a)^2)^(5/2)","B"
1876,1,1390,326,0.082000," ","int((B*x+A)*(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(-105 A \,b^{5} e^{5} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+945 B a \,b^{4} e^{5} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-840 B \,b^{5} d \,e^{4} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-420 A a \,b^{4} e^{5} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+3780 B \,a^{2} b^{3} e^{5} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-3360 B a \,b^{4} d \,e^{4} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-630 A \,a^{2} b^{3} e^{5} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+5670 B \,a^{3} b^{2} e^{5} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-5040 B \,a^{2} b^{3} d \,e^{4} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-420 A \,a^{3} b^{2} e^{5} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+3780 B \,a^{4} b \,e^{5} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-3360 B \,a^{3} b^{2} d \,e^{4} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-384 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,b^{4} e^{4} x^{4}-105 A \,a^{4} b \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+945 B \,a^{5} e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-840 B \,a^{4} b d \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-1536 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B a \,b^{3} e^{4} x^{3}-2304 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{2} b^{2} e^{4} x^{2}-1536 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{3} b \,e^{4} x +105 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,a^{3} b \,e^{4}-315 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,a^{2} b^{2} d \,e^{3}+315 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A a \,b^{3} d^{2} e^{2}-105 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,b^{4} d^{3} e -945 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{4} e^{4}+2139 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{3} b d \,e^{3}-3051 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{2} b^{2} d^{2} e^{2}+1929 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B a \,b^{3} d^{3} e -456 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,b^{4} d^{4}+385 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A \,a^{2} b^{2} e^{3}-770 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A a \,b^{3} d \,e^{2}+385 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A \,b^{4} d^{2} e -1929 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,a^{3} b \,e^{3}+5402 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} b^{2} d \,e^{2}-5017 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B a \,b^{3} d^{2} e +1544 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,b^{4} d^{3}+511 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} A a \,b^{3} e^{2}-511 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} A \,b^{4} d e -2295 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} B \,a^{2} b^{2} e^{2}+4079 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} B a \,b^{3} d e -1784 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} B \,b^{4} d^{2}+279 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{7}{2}} A \,b^{4} e -975 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{7}{2}} B a \,b^{3} e +696 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{7}{2}} B \,b^{4} d \right) \left(b x +a \right)}{192 \sqrt{\left(a e -b d \right) b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{5} e}"," ",0,"-1/192*(385*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*A*a^2*b^2*e^3+945*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^4*a*b^4*e^5+945*B*a^5*e^5*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-456*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*b^4*d^4-105*A*a^4*b*e^5*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+1544*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*b^4*d^3-105*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^4*b^5*e^5+279*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*b^4*e+696*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*b^4*d-1784*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*b^4*d^2-945*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a^4*e^4-315*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*a^2*b^2*d*e^3+315*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*a*b^3*d^2*e^2+2139*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a^3*b*d*e^3-3051*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a^2*b^2*d^2*e^2+1929*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a*b^3*d^3*e-770*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*A*a*b^3*d*e^2+5402*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*a^2*b^2*d*e^2-5017*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*a*b^3*d^2*e-1536*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a^3*b*e^4*x-2304*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a^2*b^2*e^4*x^2-3360*B*a^3*b^2*d*e^4*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-5040*B*a^2*b^3*d*e^4*x^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+4079*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*a*b^3*d*e-3360*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^3*a*b^4*d*e^4-1536*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^3*a*b^3*e^4+105*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*a^3*b*e^4-105*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*b^4*d^3*e-420*A*a^3*b^2*e^5*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-2295*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*B*a^2*b^2*e^2+3780*B*a^4*b*e^5*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-630*A*a^2*b^3*e^5*x^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+5670*B*a^3*b^2*e^5*x^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-1929*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*a^3*b*e^3-840*B*a^4*b*d*e^4*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+385*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*A*b^4*d^2*e+511*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*a*b^3*e^2-511*A*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*b^4*d*e-840*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^4*b^5*d*e^4-420*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^3*a*b^4*e^5-384*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^4*b^4*e^4+3780*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^3*a^2*b^3*e^5-975*B*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*a*b^3*e)/e*(b*x+a)/((a*e-b*d)*b)^(1/2)/b^5/((b*x+a)^2)^(5/2)","B"
1877,1,1273,276,0.072000," ","int((B*x+A)*(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(15 A \,b^{5} e^{5} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+105 B a \,b^{4} e^{5} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-120 B \,b^{5} d \,e^{4} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+60 A a \,b^{4} e^{5} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+420 B \,a^{2} b^{3} e^{5} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-480 B a \,b^{4} d \,e^{4} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+90 A \,a^{2} b^{3} e^{5} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+630 B \,a^{3} b^{2} e^{5} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-720 B \,a^{2} b^{3} d \,e^{4} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+60 A \,a^{3} b^{2} e^{5} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+420 B \,a^{4} b \,e^{5} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-480 B \,a^{3} b^{2} d \,e^{4} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+15 A \,a^{4} b \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+105 B \,a^{5} e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-120 B \,a^{4} b d \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-15 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,a^{3} b \,e^{4}+45 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,a^{2} b^{2} d \,e^{3}-45 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A a \,b^{3} d^{2} e^{2}+15 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,b^{4} d^{3} e -105 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{4} e^{4}+435 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{3} b d \,e^{3}-675 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{2} b^{2} d^{2} e^{2}+465 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B a \,b^{3} d^{3} e -120 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,b^{4} d^{4}-55 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A \,a^{2} b^{2} e^{3}+110 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A a \,b^{3} d \,e^{2}-55 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A \,b^{4} d^{2} e -385 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,a^{3} b \,e^{3}+1210 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} b^{2} d \,e^{2}-1265 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B a \,b^{3} d^{2} e +440 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,b^{4} d^{3}-73 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} A a \,b^{3} e^{2}+73 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} A \,b^{4} d e -511 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} B \,a^{2} b^{2} e^{2}+1095 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} B a \,b^{3} d e -584 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} B \,b^{4} d^{2}+15 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{7}{2}} A \,b^{4} e -279 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{7}{2}} B a \,b^{3} e +264 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{7}{2}} B \,b^{4} d \right) \left(b x +a \right)}{192 \sqrt{\left(a e -b d \right) b}\, \left(a e -b d \right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{4} e}"," ",0,"1/192*(-55*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*A*a^2*b^2*e^3+105*B*a*b^4*e^5*x^4*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+105*B*a^5*e^5*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-120*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*b^4*d^4+15*A*a^4*b*e^5*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+440*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*b^4*d^3+15*A*b^5*e^5*x^4*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+15*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*A*b^4*e+264*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*B*b^4*d-584*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*B*b^4*d^2-105*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a^4*e^4+45*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*a^2*b^2*d*e^3-45*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*a*b^3*d^2*e^2+435*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a^3*b*d*e^3-675*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a^2*b^2*d^2*e^2+465*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a*b^3*d^3*e+110*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*A*a*b^3*d*e^2+1210*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*a^2*b^2*d*e^2-1265*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*a*b^3*d^2*e-480*B*a^3*b^2*d*e^4*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-720*B*a^2*b^3*d*e^4*x^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+1095*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*B*a*b^3*d*e-480*B*a*b^4*d*e^4*x^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-15*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*a^3*b*e^4+15*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*b^4*d^3*e+60*A*a^3*b^2*e^5*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-511*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*B*a^2*b^2*e^2+420*B*a^4*b*e^5*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+90*A*a^2*b^3*e^5*x^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+630*B*a^3*b^2*e^5*x^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-385*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*a^3*b*e^3-120*B*a^4*b*d*e^4*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-55*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*A*b^4*d^2*e-73*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*A*a*b^3*e^2+73*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*A*b^4*d*e-120*B*b^5*d*e^4*x^4*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+60*A*a*b^4*e^5*x^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+420*B*a^2*b^3*e^5*x^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-279*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*B*a*b^3*e)/e*(b*x+a)/((a*e-b*d)*b)^(1/2)/b^4/(a*e-b*d)/((b*x+a)^2)^(5/2)","B"
1878,1,1273,276,0.075000," ","int((B*x+A)*(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(b x +a \right) \left(9 A \,b^{5} e^{5} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+15 B a \,b^{4} e^{5} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-24 B \,b^{5} d \,e^{4} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+36 A a \,b^{4} e^{5} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+60 B \,a^{2} b^{3} e^{5} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-96 B a \,b^{4} d \,e^{4} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+54 A \,a^{2} b^{3} e^{5} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+90 B \,a^{3} b^{2} e^{5} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-144 B \,a^{2} b^{3} d \,e^{4} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+36 A \,a^{3} b^{2} e^{5} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+60 B \,a^{4} b \,e^{5} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-96 B \,a^{3} b^{2} d \,e^{4} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+9 A \,a^{4} b \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+15 B \,a^{5} e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-24 B \,a^{4} b d \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-9 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,a^{3} b \,e^{4}+27 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,a^{2} b^{2} d \,e^{3}-27 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A a \,b^{3} d^{2} e^{2}+9 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,b^{4} d^{3} e -15 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{4} e^{4}+69 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{3} b d \,e^{3}-117 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{2} b^{2} d^{2} e^{2}+87 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B a \,b^{3} d^{3} e -24 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,b^{4} d^{4}-33 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A \,a^{2} b^{2} e^{3}+66 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A a \,b^{3} d \,e^{2}-33 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A \,b^{4} d^{2} e -55 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,a^{3} b \,e^{3}+198 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} b^{2} d \,e^{2}-231 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B a \,b^{3} d^{2} e +88 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,b^{4} d^{3}+33 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} A a \,b^{3} e^{2}-33 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} A \,b^{4} d e -73 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} B \,a^{2} b^{2} e^{2}+113 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} B a \,b^{3} d e -40 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} B \,b^{4} d^{2}+9 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{7}{2}} A \,b^{4} e +15 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{7}{2}} B a \,b^{3} e -24 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{7}{2}} B \,b^{4} d \right)}{192 \sqrt{\left(a e -b d \right) b}\, \left(a e -b d \right)^{2} \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{3} e}"," ",0,"1/192*(b*x+a)/e*(-33*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*A*a^2*b^2*e^3+15*B*a*b^4*e^5*x^4*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+15*B*a^5*e^5*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-24*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*b^4*d^4+9*A*a^4*b*e^5*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+88*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*b^4*d^3+9*A*b^5*e^5*x^4*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+9*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*A*b^4*e-24*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*B*b^4*d-40*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*B*b^4*d^2-15*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a^4*e^4+27*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*a^2*b^2*d*e^3-27*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*a*b^3*d^2*e^2+69*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a^3*b*d*e^3-117*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a^2*b^2*d^2*e^2+87*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a*b^3*d^3*e+66*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*A*a*b^3*d*e^2+198*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*a^2*b^2*d*e^2-231*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*a*b^3*d^2*e-96*B*a^3*b^2*d*e^4*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-144*B*a^2*b^3*d*e^4*x^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+113*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*B*a*b^3*d*e-96*B*a*b^4*d*e^4*x^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-9*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*a^3*b*e^4+9*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*b^4*d^3*e+36*A*a^3*b^2*e^5*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-73*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*B*a^2*b^2*e^2+60*B*a^4*b*e^5*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+54*A*a^2*b^3*e^5*x^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+90*B*a^3*b^2*e^5*x^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-55*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*a^3*b*e^3-24*B*a^4*b*d*e^4*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-33*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*A*b^4*d^2*e+33*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*A*a*b^3*e^2-33*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*A*b^4*d*e-24*B*b^5*d*e^4*x^4*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+36*A*a*b^4*e^5*x^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+60*B*a^2*b^3*e^5*x^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+15*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*B*a*b^3*e)/((a*e-b*d)*b)^(1/2)/b^3/(a*e-b*d)^2/((b*x+a)^2)^(5/2)","B"
1879,1,1296,276,0.076000," ","int((B*x+A)*(e*x+d)^(1/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(b x +a \right) \left(15 A \,b^{5} e^{5} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+9 B a \,b^{4} e^{5} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-24 B \,b^{5} d \,e^{4} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+60 A a \,b^{4} e^{5} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+36 B \,a^{2} b^{3} e^{5} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-96 B a \,b^{4} d \,e^{4} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+90 A \,a^{2} b^{3} e^{5} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+54 B \,a^{3} b^{2} e^{5} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-144 B \,a^{2} b^{3} d \,e^{4} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+60 A \,a^{3} b^{2} e^{5} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+36 B \,a^{4} b \,e^{5} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-96 B \,a^{3} b^{2} d \,e^{4} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+15 A \,a^{4} b \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+9 B \,a^{5} e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-24 B \,a^{4} b d \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-15 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,a^{3} b \,e^{4}+45 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,a^{2} b^{2} d \,e^{3}-45 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A a \,b^{3} d^{2} e^{2}+15 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,b^{4} d^{3} e -9 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{4} e^{4}+51 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{3} b d \,e^{3}-99 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{2} b^{2} d^{2} e^{2}+81 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B a \,b^{3} d^{3} e -24 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,b^{4} d^{4}+73 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A \,a^{2} b^{2} e^{3}-146 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A a \,b^{3} d \,e^{2}+73 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A \,b^{4} d^{2} e -33 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,a^{3} b \,e^{3}+26 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} b^{2} d \,e^{2}+47 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B a \,b^{3} d^{2} e -40 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,b^{4} d^{3}+55 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} A a \,b^{3} e^{2}-55 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} A \,b^{4} d e +33 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} B \,a^{2} b^{2} e^{2}-121 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} B a \,b^{3} d e +88 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} B \,b^{4} d^{2}+15 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{7}{2}} A \,b^{4} e +9 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{7}{2}} B a \,b^{3} e -24 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{7}{2}} B \,b^{4} d \right)}{192 \sqrt{\left(a e -b d \right) b}\, \left(a e -b d \right) \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{2} e}"," ",0,"1/192*(b*x+a)/e*(73*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*A*a^2*b^2*e^3+9*B*a*b^4*e^5*x^4*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+9*B*a^5*e^5*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-24*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*b^4*d^4+15*A*a^4*b*e^5*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-40*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*b^4*d^3+15*A*b^5*e^5*x^4*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+15*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*A*b^4*e-24*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*B*b^4*d+88*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*B*b^4*d^2-9*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a^4*e^4+45*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*a^2*b^2*d*e^3-45*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*a*b^3*d^2*e^2+51*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a^3*b*d*e^3-99*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a^2*b^2*d^2*e^2+81*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a*b^3*d^3*e-146*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*A*a*b^3*d*e^2+26*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*a^2*b^2*d*e^2+47*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*a*b^3*d^2*e-96*B*a^3*b^2*d*e^4*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-144*B*a^2*b^3*d*e^4*x^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-121*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*B*a*b^3*d*e-96*B*a*b^4*d*e^4*x^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-15*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*a^3*b*e^4+15*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*b^4*d^3*e+60*A*a^3*b^2*e^5*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+33*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*B*a^2*b^2*e^2+36*B*a^4*b*e^5*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+90*A*a^2*b^3*e^5*x^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+54*B*a^3*b^2*e^5*x^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-33*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*a^3*b*e^3-24*B*a^4*b*d*e^4*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+73*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*A*b^4*d^2*e+55*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*A*a*b^3*e^2-55*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*A*b^4*d*e-24*B*b^5*d*e^4*x^4*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+60*A*a*b^4*e^5*x^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+36*B*a^2*b^3*e^5*x^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+9*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*B*a*b^3*e)/((a*e-b*d)*b)^(1/2)/b^2/(a*e-b*d)/(a^2*e^2-2*a*b*d*e+b^2*d^2)/((b*x+a)^2)^(5/2)","B"
1880,1,1296,276,0.081000," ","int((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(1/2),x)","\frac{\left(105 A \,b^{5} e^{5} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+15 B a \,b^{4} e^{5} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-120 B \,b^{5} d \,e^{4} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+420 A a \,b^{4} e^{5} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+60 B \,a^{2} b^{3} e^{5} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-480 B a \,b^{4} d \,e^{4} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+630 A \,a^{2} b^{3} e^{5} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+90 B \,a^{3} b^{2} e^{5} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-720 B \,a^{2} b^{3} d \,e^{4} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+420 A \,a^{3} b^{2} e^{5} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+60 B \,a^{4} b \,e^{5} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-480 B \,a^{3} b^{2} d \,e^{4} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+105 A \,a^{4} b \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+15 B \,a^{5} e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-120 B \,a^{4} b d \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+279 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,a^{3} b \,e^{4}-837 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,a^{2} b^{2} d \,e^{3}+837 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A a \,b^{3} d^{2} e^{2}-279 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, A \,b^{4} d^{3} e -15 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{4} e^{4}-219 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{3} b d \,e^{3}+747 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,a^{2} b^{2} d^{2} e^{2}-777 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B a \,b^{3} d^{3} e +264 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, B \,b^{4} d^{4}+511 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A \,a^{2} b^{2} e^{3}-1022 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A a \,b^{3} d \,e^{2}+511 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} A \,b^{4} d^{2} e +73 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,a^{3} b \,e^{3}-730 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} b^{2} d \,e^{2}+1241 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B a \,b^{3} d^{2} e -584 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} B \,b^{4} d^{3}+385 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} A a \,b^{3} e^{2}-385 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} A \,b^{4} d e +55 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} B \,a^{2} b^{2} e^{2}-495 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} B a \,b^{3} d e +440 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} B \,b^{4} d^{2}+105 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{7}{2}} A \,b^{4} e +15 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{7}{2}} B a \,b^{3} e -120 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{7}{2}} B \,b^{4} d \right) \left(b x +a \right)}{192 \sqrt{\left(a e -b d \right) b}\, \left(a e -b d \right)^{2} \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b e}"," ",0,"1/192*(511*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*A*a^2*b^2*e^3+15*B*a*b^4*e^5*x^4*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+15*B*a^5*e^5*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+264*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*b^4*d^4+105*A*a^4*b*e^5*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-584*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*b^4*d^3+105*A*b^5*e^5*x^4*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+105*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*A*b^4*e-120*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*B*b^4*d+440*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*B*b^4*d^2-15*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a^4*e^4-837*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*a^2*b^2*d*e^3+837*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*a*b^3*d^2*e^2-219*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a^3*b*d*e^3+747*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a^2*b^2*d^2*e^2-777*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*B*a*b^3*d^3*e-1022*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*A*a*b^3*d*e^2-730*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*a^2*b^2*d*e^2+1241*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*a*b^3*d^2*e-480*B*a^3*b^2*d*e^4*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-720*B*a^2*b^3*d*e^4*x^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-495*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*B*a*b^3*d*e-480*B*a*b^4*d*e^4*x^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+279*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*a^3*b*e^4-279*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*A*b^4*d^3*e+420*A*a^3*b^2*e^5*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+55*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*B*a^2*b^2*e^2+60*B*a^4*b*e^5*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+630*A*a^2*b^3*e^5*x^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+90*B*a^3*b^2*e^5*x^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+73*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*B*a^3*b*e^3-120*B*a^4*b*d*e^4*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+511*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*A*b^4*d^2*e+385*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*A*a*b^3*e^2-385*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*A*b^4*d*e-120*B*b^5*d*e^4*x^4*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+420*A*a*b^4*e^5*x^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+60*B*a^2*b^3*e^5*x^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+15*((a*e-b*d)*b)^(1/2)*(e*x+d)^(7/2)*B*a*b^3*e)/e*(b*x+a)/((a*e-b*d)*b)^(1/2)/b/(a*e-b*d)^2/(a^2*e^2-2*a*b*d*e+b^2*d^2)/((b*x+a)^2)^(5/2)","B"
1881,1,1493,327,0.118000," ","int((B*x+A)/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(945 \sqrt{e x +d}\, A \,b^{5} e^{4} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-105 \sqrt{e x +d}\, B a \,b^{4} e^{4} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-840 \sqrt{e x +d}\, B \,b^{5} d \,e^{3} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+3780 \sqrt{e x +d}\, A a \,b^{4} e^{4} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-420 \sqrt{e x +d}\, B \,a^{2} b^{3} e^{4} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-3360 \sqrt{e x +d}\, B a \,b^{4} d \,e^{3} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+5670 \sqrt{e x +d}\, A \,a^{2} b^{3} e^{4} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+945 \sqrt{\left(a e -b d \right) b}\, A \,b^{4} e^{4} x^{4}-630 \sqrt{e x +d}\, B \,a^{3} b^{2} e^{4} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-5040 \sqrt{e x +d}\, B \,a^{2} b^{3} d \,e^{3} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-105 \sqrt{\left(a e -b d \right) b}\, B a \,b^{3} e^{4} x^{4}-840 \sqrt{\left(a e -b d \right) b}\, B \,b^{4} d \,e^{3} x^{4}+3780 \sqrt{e x +d}\, A \,a^{3} b^{2} e^{4} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+3465 \sqrt{\left(a e -b d \right) b}\, A a \,b^{3} e^{4} x^{3}+315 \sqrt{\left(a e -b d \right) b}\, A \,b^{4} d \,e^{3} x^{3}-420 \sqrt{e x +d}\, B \,a^{4} b \,e^{4} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-3360 \sqrt{e x +d}\, B \,a^{3} b^{2} d \,e^{3} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-385 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} b^{2} e^{4} x^{3}-3115 \sqrt{\left(a e -b d \right) b}\, B a \,b^{3} d \,e^{3} x^{3}-280 \sqrt{\left(a e -b d \right) b}\, B \,b^{4} d^{2} e^{2} x^{3}+945 \sqrt{e x +d}\, A \,a^{4} b \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+4599 \sqrt{\left(a e -b d \right) b}\, A \,a^{2} b^{2} e^{4} x^{2}+1197 \sqrt{\left(a e -b d \right) b}\, A a \,b^{3} d \,e^{3} x^{2}-126 \sqrt{\left(a e -b d \right) b}\, A \,b^{4} d^{2} e^{2} x^{2}-105 \sqrt{e x +d}\, B \,a^{5} e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-840 \sqrt{e x +d}\, B \,a^{4} b d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-511 \sqrt{\left(a e -b d \right) b}\, B \,a^{3} b \,e^{4} x^{2}-4221 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} b^{2} d \,e^{3} x^{2}-1050 \sqrt{\left(a e -b d \right) b}\, B a \,b^{3} d^{2} e^{2} x^{2}+112 \sqrt{\left(a e -b d \right) b}\, B \,b^{4} d^{3} e \,x^{2}+2511 \sqrt{\left(a e -b d \right) b}\, A \,a^{3} b \,e^{4} x +1665 \sqrt{\left(a e -b d \right) b}\, A \,a^{2} b^{2} d \,e^{3} x -468 \sqrt{\left(a e -b d \right) b}\, A a \,b^{3} d^{2} e^{2} x +72 \sqrt{\left(a e -b d \right) b}\, A \,b^{4} d^{3} e x -279 \sqrt{\left(a e -b d \right) b}\, B \,a^{4} e^{4} x -2417 \sqrt{\left(a e -b d \right) b}\, B \,a^{3} b d \,e^{3} x -1428 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} b^{2} d^{2} e^{2} x +408 \sqrt{\left(a e -b d \right) b}\, B a \,b^{3} d^{3} e x -64 \sqrt{\left(a e -b d \right) b}\, B \,b^{4} d^{4} x +384 \sqrt{\left(a e -b d \right) b}\, A \,a^{4} e^{4}+975 \sqrt{\left(a e -b d \right) b}\, A \,a^{3} b d \,e^{3}-630 \sqrt{\left(a e -b d \right) b}\, A \,a^{2} b^{2} d^{2} e^{2}+264 \sqrt{\left(a e -b d \right) b}\, A a \,b^{3} d^{3} e -48 \sqrt{\left(a e -b d \right) b}\, A \,b^{4} d^{4}-663 \sqrt{\left(a e -b d \right) b}\, B \,a^{4} d \,e^{3}-370 \sqrt{\left(a e -b d \right) b}\, B \,a^{3} b \,d^{2} e^{2}+104 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} b^{2} d^{3} e -16 \sqrt{\left(a e -b d \right) b}\, B a \,b^{3} d^{4}\right) \left(b x +a \right)}{192 \sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\, \left(a e -b d \right)^{5} \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}"," ",0,"-1/192*(945*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*a^4*b*e^4-48*((a*e-b*d)*b)^(1/2)*A*b^4*d^4-663*((a*e-b*d)*b)^(1/2)*B*a^4*d*e^3-3360*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*x^3*a*b^4*d*e^3-5040*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*x^2*a^2*b^3*d*e^3-3360*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*x*a^3*b^2*d*e^3+384*((a*e-b*d)*b)^(1/2)*A*a^4*e^4+945*((a*e-b*d)*b)^(1/2)*A*b^4*e^4*x^4-279*((a*e-b*d)*b)^(1/2)*B*a^4*e^4*x-64*((a*e-b*d)*b)^(1/2)*B*b^4*d^4*x-16*((a*e-b*d)*b)^(1/2)*B*a*b^3*d^4-105*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*a^5*e^4-840*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*x^4*b^5*d*e^3+3780*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*x^3*a*b^4*e^4-420*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*x^3*a^2*b^3*e^4+5670*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*x^2*a^2*b^3*e^4-630*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*x^2*a^3*b^2*e^4+3780*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*x*a^3*b^2*e^4-420*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*x*a^4*b*e^4-840*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*a^4*b*d*e^3-105*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*x^4*a*b^4*e^4+945*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*x^4*b^5*e^4+3465*((a*e-b*d)*b)^(1/2)*A*a*b^3*e^4*x^3+315*((a*e-b*d)*b)^(1/2)*A*b^4*d*e^3*x^3-385*((a*e-b*d)*b)^(1/2)*B*a^2*b^2*e^4*x^3-280*((a*e-b*d)*b)^(1/2)*B*b^4*d^2*e^2*x^3+4599*((a*e-b*d)*b)^(1/2)*A*a^2*b^2*e^4*x^2-126*((a*e-b*d)*b)^(1/2)*A*b^4*d^2*e^2*x^2-511*((a*e-b*d)*b)^(1/2)*B*a^3*b*e^4*x^2+112*((a*e-b*d)*b)^(1/2)*B*b^4*d^3*e*x^2+2511*((a*e-b*d)*b)^(1/2)*A*a^3*b*e^4*x+72*((a*e-b*d)*b)^(1/2)*A*b^4*d^3*e*x-105*((a*e-b*d)*b)^(1/2)*B*a*b^3*e^4*x^4-840*((a*e-b*d)*b)^(1/2)*B*b^4*d*e^3*x^4+975*((a*e-b*d)*b)^(1/2)*A*a^3*b*d*e^3-630*((a*e-b*d)*b)^(1/2)*A*a^2*b^2*d^2*e^2+264*((a*e-b*d)*b)^(1/2)*A*a*b^3*d^3*e-370*((a*e-b*d)*b)^(1/2)*B*a^3*b*d^2*e^2+104*((a*e-b*d)*b)^(1/2)*B*a^2*b^2*d^3*e-4221*((a*e-b*d)*b)^(1/2)*B*a^2*b^2*d*e^3*x^2-1050*((a*e-b*d)*b)^(1/2)*B*a*b^3*d^2*e^2*x^2+1665*((a*e-b*d)*b)^(1/2)*A*a^2*b^2*d*e^3*x-468*((a*e-b*d)*b)^(1/2)*A*a*b^3*d^2*e^2*x-2417*((a*e-b*d)*b)^(1/2)*B*a^3*b*d*e^3*x-1428*((a*e-b*d)*b)^(1/2)*B*a^2*b^2*d^2*e^2*x+408*((a*e-b*d)*b)^(1/2)*B*a*b^3*d^3*e*x-3115*((a*e-b*d)*b)^(1/2)*B*a*b^3*d*e^3*x^3+1197*((a*e-b*d)*b)^(1/2)*A*a*b^3*d*e^3*x^2)*(b*x+a)/(e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)/(a*e-b*d)^5/((b*x+a)^2)^(5/2)","B"
1882,1,1860,383,0.131000," ","int((B*x+A)/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(3465 \left(e x +d \right)^{\frac{3}{2}} A \,b^{6} e^{4} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+3465 \sqrt{\left(a e -b d \right) b}\, A \,b^{5} e^{5} x^{5}-945 \left(e x +d \right)^{\frac{3}{2}} B a \,b^{5} e^{4} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-945 \sqrt{\left(a e -b d \right) b}\, B a \,b^{4} e^{5} x^{5}-2520 \left(e x +d \right)^{\frac{3}{2}} B \,b^{6} d \,e^{3} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-2520 \sqrt{\left(a e -b d \right) b}\, B \,b^{5} d \,e^{4} x^{5}+13860 \left(e x +d \right)^{\frac{3}{2}} A a \,b^{5} e^{4} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+12705 \sqrt{\left(a e -b d \right) b}\, A a \,b^{4} e^{5} x^{4}+4620 \sqrt{\left(a e -b d \right) b}\, A \,b^{5} d \,e^{4} x^{4}-3780 \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} b^{4} e^{4} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-3465 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} b^{3} e^{5} x^{4}-10080 \left(e x +d \right)^{\frac{3}{2}} B a \,b^{5} d \,e^{3} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-10500 \sqrt{\left(a e -b d \right) b}\, B a \,b^{4} d \,e^{4} x^{4}-3360 \sqrt{\left(a e -b d \right) b}\, B \,b^{5} d^{2} e^{3} x^{4}+20790 \left(e x +d \right)^{\frac{3}{2}} A \,a^{2} b^{4} e^{4} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+16863 \sqrt{\left(a e -b d \right) b}\, A \,a^{2} b^{3} e^{5} x^{3}+17094 \sqrt{\left(a e -b d \right) b}\, A a \,b^{4} d \,e^{4} x^{3}+693 \sqrt{\left(a e -b d \right) b}\, A \,b^{5} d^{2} e^{3} x^{3}-5670 \left(e x +d \right)^{\frac{3}{2}} B \,a^{3} b^{3} e^{4} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-4599 \sqrt{\left(a e -b d \right) b}\, B \,a^{3} b^{2} e^{5} x^{3}-15120 \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} b^{4} d \,e^{3} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-16926 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} b^{3} d \,e^{4} x^{3}-12621 \sqrt{\left(a e -b d \right) b}\, B a \,b^{4} d^{2} e^{3} x^{3}-504 \sqrt{\left(a e -b d \right) b}\, B \,b^{5} d^{3} e^{2} x^{3}+13860 \left(e x +d \right)^{\frac{3}{2}} A \,a^{3} b^{3} e^{4} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+9207 \sqrt{\left(a e -b d \right) b}\, A \,a^{3} b^{2} e^{5} x^{2}+22968 \sqrt{\left(a e -b d \right) b}\, A \,a^{2} b^{3} d \,e^{4} x^{2}+2673 \sqrt{\left(a e -b d \right) b}\, A a \,b^{4} d^{2} e^{3} x^{2}-198 \sqrt{\left(a e -b d \right) b}\, A \,b^{5} d^{3} e^{2} x^{2}-3780 \left(e x +d \right)^{\frac{3}{2}} B \,a^{4} b^{2} e^{4} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-2511 \sqrt{\left(a e -b d \right) b}\, B \,a^{4} b \,e^{5} x^{2}-10080 \left(e x +d \right)^{\frac{3}{2}} B \,a^{3} b^{3} d \,e^{3} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-12960 \sqrt{\left(a e -b d \right) b}\, B \,a^{3} b^{2} d \,e^{4} x^{2}-17433 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} b^{3} d^{2} e^{3} x^{2}-1890 \sqrt{\left(a e -b d \right) b}\, B a \,b^{4} d^{3} e^{2} x^{2}+144 \sqrt{\left(a e -b d \right) b}\, B \,b^{5} d^{4} e \,x^{2}+3465 \left(e x +d \right)^{\frac{3}{2}} A \,a^{4} b^{2} e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+1408 \sqrt{\left(a e -b d \right) b}\, A \,a^{4} b \,e^{5} x +12782 \sqrt{\left(a e -b d \right) b}\, A \,a^{3} b^{2} d \,e^{4} x +3795 \sqrt{\left(a e -b d \right) b}\, A \,a^{2} b^{3} d^{2} e^{3} x -748 \sqrt{\left(a e -b d \right) b}\, A a \,b^{4} d^{3} e^{2} x +88 \sqrt{\left(a e -b d \right) b}\, A \,b^{5} d^{4} e x -945 \left(e x +d \right)^{\frac{3}{2}} B \,a^{5} b \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-384 \sqrt{\left(a e -b d \right) b}\, B \,a^{5} e^{5} x -2520 \left(e x +d \right)^{\frac{3}{2}} B \,a^{4} b^{2} d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-4510 \sqrt{\left(a e -b d \right) b}\, B \,a^{4} b d \,e^{4} x -10331 \sqrt{\left(a e -b d \right) b}\, B \,a^{3} b^{2} d^{2} e^{3} x -2556 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} b^{3} d^{3} e^{2} x +520 \sqrt{\left(a e -b d \right) b}\, B a \,b^{4} d^{4} e x -64 \sqrt{\left(a e -b d \right) b}\, B \,b^{5} d^{5} x -128 \sqrt{\left(a e -b d \right) b}\, A \,a^{5} e^{5}+2048 \sqrt{\left(a e -b d \right) b}\, A \,a^{4} b d \,e^{4}+2295 \sqrt{\left(a e -b d \right) b}\, A \,a^{3} b^{2} d^{2} e^{3}-1030 \sqrt{\left(a e -b d \right) b}\, A \,a^{2} b^{3} d^{3} e^{2}+328 \sqrt{\left(a e -b d \right) b}\, A a \,b^{4} d^{4} e -48 \sqrt{\left(a e -b d \right) b}\, A \,b^{5} d^{5}-256 \sqrt{\left(a e -b d \right) b}\, B \,a^{5} d \,e^{4}-2639 \sqrt{\left(a e -b d \right) b}\, B \,a^{4} b \,d^{2} e^{3}-690 \sqrt{\left(a e -b d \right) b}\, B \,a^{3} b^{2} d^{3} e^{2}+136 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} b^{3} d^{4} e -16 \sqrt{\left(a e -b d \right) b}\, B a \,b^{4} d^{5}\right) \left(b x +a \right)}{192 \left(e x +d \right)^{\frac{3}{2}} \sqrt{\left(a e -b d \right) b}\, \left(a e -b d \right)^{6} \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}"," ",0,"1/192*(-3360*B*((a*e-b*d)*b)^(1/2)*x^4*b^5*d^2*e^3-128*A*((a*e-b*d)*b)^(1/2)*a^5*e^5-48*A*((a*e-b*d)*b)^(1/2)*b^5*d^5+3465*A*((a*e-b*d)*b)^(1/2)*x^5*b^5*e^5-384*B*((a*e-b*d)*b)^(1/2)*x*a^5*e^5-64*B*((a*e-b*d)*b)^(1/2)*x*b^5*d^5-15120*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*x^2*a^2*b^4*d*e^3-10080*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*x*a^3*b^3*d*e^3-10080*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*x^3*a*b^5*d*e^3-256*B*((a*e-b*d)*b)^(1/2)*a^5*d*e^4-16*B*((a*e-b*d)*b)^(1/2)*a*b^4*d^5-945*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*a^5*b*e^4+9207*A*((a*e-b*d)*b)^(1/2)*x^2*a^3*b^2*e^5-198*A*((a*e-b*d)*b)^(1/2)*x^2*b^5*d^3*e^2-2511*B*((a*e-b*d)*b)^(1/2)*x^2*a^4*b*e^5+144*B*((a*e-b*d)*b)^(1/2)*x^2*b^5*d^4*e+1408*A*((a*e-b*d)*b)^(1/2)*x*a^4*b*e^5+88*A*((a*e-b*d)*b)^(1/2)*x*b^5*d^4*e+3465*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*x^4*b^6*e^4-945*B*((a*e-b*d)*b)^(1/2)*x^5*a*b^4*e^5-2520*B*((a*e-b*d)*b)^(1/2)*x^5*b^5*d*e^4+12705*A*((a*e-b*d)*b)^(1/2)*x^4*a*b^4*e^5+4620*A*((a*e-b*d)*b)^(1/2)*x^4*b^5*d*e^4-3465*B*((a*e-b*d)*b)^(1/2)*x^4*a^2*b^3*e^5+693*A*((a*e-b*d)*b)^(1/2)*x^3*b^5*d^2*e^3+3465*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*a^4*b^2*e^4-4599*B*((a*e-b*d)*b)^(1/2)*x^3*a^3*b^2*e^5-504*B*((a*e-b*d)*b)^(1/2)*x^3*b^5*d^3*e^2+16863*A*((a*e-b*d)*b)^(1/2)*x^3*a^2*b^3*e^5+2048*A*((a*e-b*d)*b)^(1/2)*a^4*b*d*e^4+2295*A*((a*e-b*d)*b)^(1/2)*a^3*b^2*d^2*e^3-1030*A*((a*e-b*d)*b)^(1/2)*a^2*b^3*d^3*e^2+328*A*((a*e-b*d)*b)^(1/2)*a*b^4*d^4*e-2639*B*((a*e-b*d)*b)^(1/2)*a^4*b*d^2*e^3-690*B*((a*e-b*d)*b)^(1/2)*a^3*b^2*d^3*e^2+136*B*((a*e-b*d)*b)^(1/2)*a^2*b^3*d^4*e-2556*B*((a*e-b*d)*b)^(1/2)*x*a^2*b^3*d^3*e^2+520*B*((a*e-b*d)*b)^(1/2)*x*a*b^4*d^4*e-12960*B*((a*e-b*d)*b)^(1/2)*x^2*a^3*b^2*d*e^4-17433*B*((a*e-b*d)*b)^(1/2)*x^2*a^2*b^3*d^2*e^3-1890*B*((a*e-b*d)*b)^(1/2)*x^2*a*b^4*d^3*e^2+12782*A*((a*e-b*d)*b)^(1/2)*x*a^3*b^2*d*e^4+3795*A*((a*e-b*d)*b)^(1/2)*x*a^2*b^3*d^2*e^3-748*A*((a*e-b*d)*b)^(1/2)*x*a*b^4*d^3*e^2-4510*B*((a*e-b*d)*b)^(1/2)*x*a^4*b*d*e^4-10331*B*((a*e-b*d)*b)^(1/2)*x*a^3*b^2*d^2*e^3-945*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*x^4*a*b^5*e^4-2520*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*x^4*b^6*d*e^3+13860*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*x^3*a*b^5*e^4-3780*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*x^3*a^2*b^4*e^4+20790*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*x^2*a^2*b^4*e^4-5670*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*x^2*a^3*b^3*e^4+13860*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*x*a^3*b^3*e^4-10500*B*((a*e-b*d)*b)^(1/2)*x^4*a*b^4*d*e^4-3780*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*x*a^4*b^2*e^4+17094*A*((a*e-b*d)*b)^(1/2)*x^3*a*b^4*d*e^4-16926*B*((a*e-b*d)*b)^(1/2)*x^3*a^2*b^3*d*e^4-12621*B*((a*e-b*d)*b)^(1/2)*x^3*a*b^4*d^2*e^3-2520*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*a^4*b^2*d*e^3+22968*A*((a*e-b*d)*b)^(1/2)*x^2*a^2*b^3*d*e^4+2673*A*((a*e-b*d)*b)^(1/2)*x^2*a*b^4*d^2*e^3)*(b*x+a)/(e*x+d)^(3/2)/((a*e-b*d)*b)^(1/2)/(a*e-b*d)^6/((b*x+a)^2)^(5/2)","B"
1883,1,2282,436,0.139000," ","int((B*x+A)/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(45045 \sqrt{\left(a e -b d \right) b}\, A \,b^{6} e^{6} x^{6}-17325 \sqrt{\left(a e -b d \right) b}\, B a \,b^{5} e^{6} x^{6}-27720 \sqrt{\left(a e -b d \right) b}\, B \,b^{6} d \,e^{5} x^{6}+165165 \sqrt{\left(a e -b d \right) b}\, A a \,b^{5} e^{6} x^{5}+105105 \sqrt{\left(a e -b d \right) b}\, A \,b^{6} d \,e^{5} x^{5}-63525 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} b^{4} e^{6} x^{5}-142065 \sqrt{\left(a e -b d \right) b}\, B a \,b^{5} d \,e^{5} x^{5}-64680 \sqrt{\left(a e -b d \right) b}\, B \,b^{6} d^{2} e^{4} x^{5}+219219 \sqrt{\left(a e -b d \right) b}\, A \,a^{2} b^{4} e^{6} x^{4}+387387 \sqrt{\left(a e -b d \right) b}\, A a \,b^{5} d \,e^{5} x^{4}+45045 \left(e x +d \right)^{\frac{5}{2}} A \,b^{7} e^{4} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+69069 \sqrt{\left(a e -b d \right) b}\, A \,b^{6} d^{2} e^{4} x^{4}-84315 \sqrt{\left(a e -b d \right) b}\, B \,a^{3} b^{3} e^{6} x^{4}-283899 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} b^{4} d \,e^{5} x^{4}-17325 \left(e x +d \right)^{\frac{5}{2}} B a \,b^{6} e^{4} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-264957 \sqrt{\left(a e -b d \right) b}\, B a \,b^{5} d^{2} e^{4} x^{4}-27720 \left(e x +d \right)^{\frac{5}{2}} B \,b^{7} d \,e^{3} x^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-42504 \sqrt{\left(a e -b d \right) b}\, B \,b^{6} d^{3} e^{3} x^{4}+119691 \sqrt{\left(a e -b d \right) b}\, A \,a^{3} b^{3} e^{6} x^{3}+517803 \sqrt{\left(a e -b d \right) b}\, A \,a^{2} b^{4} d \,e^{5} x^{3}+180180 \left(e x +d \right)^{\frac{5}{2}} A a \,b^{6} e^{4} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+256971 \sqrt{\left(a e -b d \right) b}\, A a \,b^{5} d^{2} e^{4} x^{3}+6435 \sqrt{\left(a e -b d \right) b}\, A \,b^{6} d^{3} e^{3} x^{3}-46035 \sqrt{\left(a e -b d \right) b}\, B \,a^{4} b^{2} e^{6} x^{3}-272811 \sqrt{\left(a e -b d \right) b}\, B \,a^{3} b^{3} d \,e^{5} x^{3}-69300 \left(e x +d \right)^{\frac{5}{2}} B \,a^{2} b^{5} e^{4} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-417483 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} b^{4} d^{2} e^{4} x^{3}-110880 \left(e x +d \right)^{\frac{5}{2}} B a \,b^{6} d \,e^{3} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-160611 \sqrt{\left(a e -b d \right) b}\, B a \,b^{5} d^{3} e^{3} x^{3}-3960 \sqrt{\left(a e -b d \right) b}\, B \,b^{6} d^{4} e^{2} x^{3}+18304 \sqrt{\left(a e -b d \right) b}\, A \,a^{4} b^{2} e^{6} x^{2}+285857 \sqrt{\left(a e -b d \right) b}\, A \,a^{3} b^{3} d \,e^{5} x^{2}+270270 \left(e x +d \right)^{\frac{5}{2}} A \,a^{2} b^{5} e^{4} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+347919 \sqrt{\left(a e -b d \right) b}\, A \,a^{2} b^{4} d^{2} e^{4} x^{2}+25025 \sqrt{\left(a e -b d \right) b}\, A a \,b^{5} d^{3} e^{3} x^{2}-1430 \sqrt{\left(a e -b d \right) b}\, A \,b^{6} d^{4} e^{2} x^{2}-7040 \sqrt{\left(a e -b d \right) b}\, B \,a^{5} b \,e^{6} x^{2}-121209 \sqrt{\left(a e -b d \right) b}\, B \,a^{4} b^{2} d \,e^{5} x^{2}-103950 \left(e x +d \right)^{\frac{5}{2}} B \,a^{3} b^{4} e^{4} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-309727 \sqrt{\left(a e -b d \right) b}\, B \,a^{3} b^{3} d^{2} e^{4} x^{2}-166320 \left(e x +d \right)^{\frac{5}{2}} B \,a^{2} b^{5} d \,e^{3} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-223729 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} b^{4} d^{3} e^{3} x^{2}-14850 \sqrt{\left(a e -b d \right) b}\, B a \,b^{5} d^{4} e^{2} x^{2}+880 \sqrt{\left(a e -b d \right) b}\, B \,b^{6} d^{5} e \,x^{2}-1664 \sqrt{\left(a e -b d \right) b}\, A \,a^{5} b \,e^{6} x +44928 \sqrt{\left(a e -b d \right) b}\, A \,a^{4} b^{2} d \,e^{5} x +180180 \left(e x +d \right)^{\frac{5}{2}} A \,a^{3} b^{4} e^{4} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+196001 \sqrt{\left(a e -b d \right) b}\, A \,a^{3} b^{3} d^{2} e^{4} x +35945 \sqrt{\left(a e -b d \right) b}\, A \,a^{2} b^{4} d^{3} e^{3} x -5460 \sqrt{\left(a e -b d \right) b}\, A a \,b^{5} d^{4} e^{2} x +520 \sqrt{\left(a e -b d \right) b}\, A \,b^{6} d^{5} e x +640 \sqrt{\left(a e -b d \right) b}\, B \,a^{6} e^{6} x -16256 \sqrt{\left(a e -b d \right) b}\, B \,a^{5} b d \,e^{5} x -69300 \left(e x +d \right)^{\frac{5}{2}} B \,a^{4} b^{3} e^{4} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-103033 \sqrt{\left(a e -b d \right) b}\, B \,a^{4} b^{2} d^{2} e^{4} x -110880 \left(e x +d \right)^{\frac{5}{2}} B \,a^{3} b^{4} d \,e^{3} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-134441 \sqrt{\left(a e -b d \right) b}\, B \,a^{3} b^{3} d^{3} e^{3} x -20020 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} b^{4} d^{4} e^{2} x +3160 \sqrt{\left(a e -b d \right) b}\, B a \,b^{5} d^{5} e x -320 \sqrt{\left(a e -b d \right) b}\, B \,b^{6} d^{6} x +384 \sqrt{\left(a e -b d \right) b}\, A \,a^{6} e^{6}-3968 \sqrt{\left(a e -b d \right) b}\, A \,a^{5} b d \,e^{5}+45045 \left(e x +d \right)^{\frac{5}{2}} A \,a^{4} b^{3} e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+32384 \sqrt{\left(a e -b d \right) b}\, A \,a^{4} b^{2} d^{2} e^{4}+22155 \sqrt{\left(a e -b d \right) b}\, A \,a^{3} b^{3} d^{3} e^{3}-7630 \sqrt{\left(a e -b d \right) b}\, A \,a^{2} b^{4} d^{4} e^{2}+1960 \sqrt{\left(a e -b d \right) b}\, A a \,b^{5} d^{5} e -240 \sqrt{\left(a e -b d \right) b}\, A \,b^{6} d^{6}+256 \sqrt{\left(a e -b d \right) b}\, B \,a^{6} d \,e^{5}-17325 \left(e x +d \right)^{\frac{5}{2}} B \,a^{5} b^{2} e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-6912 \sqrt{\left(a e -b d \right) b}\, B \,a^{5} b \,d^{2} e^{4}-27720 \left(e x +d \right)^{\frac{5}{2}} B \,a^{4} b^{3} d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-33619 \sqrt{\left(a e -b d \right) b}\, B \,a^{4} b^{2} d^{3} e^{3}-5530 \sqrt{\left(a e -b d \right) b}\, B \,a^{3} b^{3} d^{4} e^{2}+840 \sqrt{\left(a e -b d \right) b}\, B \,a^{2} b^{4} d^{5} e -80 \sqrt{\left(a e -b d \right) b}\, B a \,b^{5} d^{6}\right) \left(b x +a \right)}{960 \left(e x +d \right)^{\frac{5}{2}} \sqrt{\left(a e -b d \right) b}\, \left(a e -b d \right)^{7} \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}"," ",0,"-1/960*(520*A*((a*e-b*d)*b)^(1/2)*x*b^6*d^5*e-110880*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*x*a^3*b^4*d*e^3-110880*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*x^3*a*b^6*d*e^3-166320*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*x^2*a^2*b^5*d*e^3+256*B*((a*e-b*d)*b)^(1/2)*a^6*d*e^5-80*B*((a*e-b*d)*b)^(1/2)*a*b^5*d^6+384*A*((a*e-b*d)*b)^(1/2)*a^6*e^6-240*A*((a*e-b*d)*b)^(1/2)*b^6*d^6+45045*A*((a*e-b*d)*b)^(1/2)*x^6*b^6*e^6+640*B*((a*e-b*d)*b)^(1/2)*x*a^6*e^6-320*B*((a*e-b*d)*b)^(1/2)*x*b^6*d^6+256971*A*((a*e-b*d)*b)^(1/2)*x^3*a*b^5*d^2*e^4-272811*B*((a*e-b*d)*b)^(1/2)*x^3*a^3*b^3*d*e^5-417483*B*((a*e-b*d)*b)^(1/2)*x^3*a^2*b^4*d^2*e^4-160611*B*((a*e-b*d)*b)^(1/2)*x^3*a*b^5*d^3*e^3+285857*A*((a*e-b*d)*b)^(1/2)*x^2*a^3*b^3*d*e^5+347919*A*((a*e-b*d)*b)^(1/2)*x^2*a^2*b^4*d^2*e^4+25025*A*((a*e-b*d)*b)^(1/2)*x^2*a*b^5*d^3*e^3-121209*B*((a*e-b*d)*b)^(1/2)*x^2*a^4*b^2*d*e^5-309727*B*((a*e-b*d)*b)^(1/2)*x^2*a^3*b^3*d^2*e^4-223729*B*((a*e-b*d)*b)^(1/2)*x^2*a^2*b^4*d^3*e^3-14850*B*((a*e-b*d)*b)^(1/2)*x^2*a*b^5*d^4*e^2+44928*A*((a*e-b*d)*b)^(1/2)*x*a^4*b^2*d*e^5+196001*A*((a*e-b*d)*b)^(1/2)*x*a^3*b^3*d^2*e^4+35945*A*((a*e-b*d)*b)^(1/2)*x*a^2*b^4*d^3*e^3-5460*A*((a*e-b*d)*b)^(1/2)*x*a*b^5*d^4*e^2-16256*B*((a*e-b*d)*b)^(1/2)*x*a^5*b*d*e^5-103033*B*((a*e-b*d)*b)^(1/2)*x*a^4*b^2*d^2*e^4-134441*B*((a*e-b*d)*b)^(1/2)*x*a^3*b^3*d^3*e^3-20020*B*((a*e-b*d)*b)^(1/2)*x*a^2*b^4*d^4*e^2+3160*B*((a*e-b*d)*b)^(1/2)*x*a*b^5*d^5*e-17325*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*x^4*a*b^6*e^4-27720*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*x^4*b^7*d*e^3+180180*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*x^3*a*b^6*e^4-69300*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*x^3*a^2*b^5*e^4+270270*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*x^2*a^2*b^5*e^4-103950*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*x^2*a^3*b^4*e^4+180180*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*x*a^3*b^4*e^4-142065*B*((a*e-b*d)*b)^(1/2)*x^5*a*b^5*d*e^5-69300*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*x*a^4*b^3*e^4+387387*A*((a*e-b*d)*b)^(1/2)*x^4*a*b^5*d*e^5-283899*B*((a*e-b*d)*b)^(1/2)*x^4*a^2*b^4*d*e^5-264957*B*((a*e-b*d)*b)^(1/2)*x^4*a*b^5*d^2*e^4-27720*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*a^4*b^3*d*e^3+517803*A*((a*e-b*d)*b)^(1/2)*x^3*a^2*b^4*d*e^5+119691*A*((a*e-b*d)*b)^(1/2)*x^3*a^3*b^3*e^6+6435*A*((a*e-b*d)*b)^(1/2)*x^3*b^6*d^3*e^3-46035*B*((a*e-b*d)*b)^(1/2)*x^3*a^4*b^2*e^6-3960*B*((a*e-b*d)*b)^(1/2)*x^3*b^6*d^4*e^2+18304*A*((a*e-b*d)*b)^(1/2)*x^2*a^4*b^2*e^6-1430*A*((a*e-b*d)*b)^(1/2)*x^2*b^6*d^4*e^2-7040*B*((a*e-b*d)*b)^(1/2)*x^2*a^5*b*e^6+880*B*((a*e-b*d)*b)^(1/2)*x^2*b^6*d^5*e-1664*A*((a*e-b*d)*b)^(1/2)*x*a^5*b*e^6+45045*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*x^4*b^7*e^4-17325*B*((a*e-b*d)*b)^(1/2)*x^6*a*b^5*e^6-27720*B*((a*e-b*d)*b)^(1/2)*x^6*b^6*d*e^5+165165*A*((a*e-b*d)*b)^(1/2)*x^5*a*b^5*e^6+105105*A*((a*e-b*d)*b)^(1/2)*x^5*b^6*d*e^5-63525*B*((a*e-b*d)*b)^(1/2)*x^5*a^2*b^4*e^6-64680*B*((a*e-b*d)*b)^(1/2)*x^5*b^6*d^2*e^4+219219*A*((a*e-b*d)*b)^(1/2)*x^4*a^2*b^4*e^6+69069*A*((a*e-b*d)*b)^(1/2)*x^4*b^6*d^2*e^4+45045*A*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*a^4*b^3*e^4-84315*B*((a*e-b*d)*b)^(1/2)*x^4*a^3*b^3*e^6-42504*B*((a*e-b*d)*b)^(1/2)*x^4*b^6*d^3*e^3-17325*B*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*a^5*b^2*e^4+22155*A*((a*e-b*d)*b)^(1/2)*a^3*b^3*d^3*e^3-7630*A*((a*e-b*d)*b)^(1/2)*a^2*b^4*d^4*e^2+1960*A*((a*e-b*d)*b)^(1/2)*a*b^5*d^5*e-6912*B*((a*e-b*d)*b)^(1/2)*a^5*b*d^2*e^4-33619*B*((a*e-b*d)*b)^(1/2)*a^4*b^2*d^3*e^3-5530*B*((a*e-b*d)*b)^(1/2)*a^3*b^3*d^4*e^2+840*B*((a*e-b*d)*b)^(1/2)*a^2*b^4*d^5*e+32384*A*((a*e-b*d)*b)^(1/2)*a^4*b^2*d^2*e^4-3968*A*((a*e-b*d)*b)^(1/2)*a^5*b*d*e^5)*(b*x+a)/(e*x+d)^(5/2)/((a*e-b*d)*b)^(1/2)/(a*e-b*d)^7/((b*x+a)^2)^(5/2)","B"
1884,1,2355,234,0.138000," ","int((B*x+A)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{\left(B \,b^{4} e^{5} m^{5} x^{5}+A \,b^{4} e^{5} m^{5} x^{4}+4 B a \,b^{3} e^{5} m^{5} x^{4}+15 B \,b^{4} e^{5} m^{4} x^{5}+4 A a \,b^{3} e^{5} m^{5} x^{3}+16 A \,b^{4} e^{5} m^{4} x^{4}+6 B \,a^{2} b^{2} e^{5} m^{5} x^{3}+64 B a \,b^{3} e^{5} m^{4} x^{4}-5 B \,b^{4} d \,e^{4} m^{4} x^{4}+85 B \,b^{4} e^{5} m^{3} x^{5}+6 A \,a^{2} b^{2} e^{5} m^{5} x^{2}+68 A a \,b^{3} e^{5} m^{4} x^{3}-4 A \,b^{4} d \,e^{4} m^{4} x^{3}+95 A \,b^{4} e^{5} m^{3} x^{4}+4 B \,a^{3} b \,e^{5} m^{5} x^{2}+102 B \,a^{2} b^{2} e^{5} m^{4} x^{3}-16 B a \,b^{3} d \,e^{4} m^{4} x^{3}+380 B a \,b^{3} e^{5} m^{3} x^{4}-50 B \,b^{4} d \,e^{4} m^{3} x^{4}+225 B \,b^{4} e^{5} m^{2} x^{5}+4 A \,a^{3} b \,e^{5} m^{5} x +108 A \,a^{2} b^{2} e^{5} m^{4} x^{2}-12 A a \,b^{3} d \,e^{4} m^{4} x^{2}+428 A a \,b^{3} e^{5} m^{3} x^{3}-48 A \,b^{4} d \,e^{4} m^{3} x^{3}+260 A \,b^{4} e^{5} m^{2} x^{4}+B \,a^{4} e^{5} m^{5} x +72 B \,a^{3} b \,e^{5} m^{4} x^{2}-18 B \,a^{2} b^{2} d \,e^{4} m^{4} x^{2}+642 B \,a^{2} b^{2} e^{5} m^{3} x^{3}-192 B a \,b^{3} d \,e^{4} m^{3} x^{3}+1040 B a \,b^{3} e^{5} m^{2} x^{4}+20 B \,b^{4} d^{2} e^{3} m^{3} x^{3}-175 B \,b^{4} d \,e^{4} m^{2} x^{4}+274 B \,b^{4} e^{5} m \,x^{5}+A \,a^{4} e^{5} m^{5}+76 A \,a^{3} b \,e^{5} m^{4} x -12 A \,a^{2} b^{2} d \,e^{4} m^{4} x +726 A \,a^{2} b^{2} e^{5} m^{3} x^{2}-168 A a \,b^{3} d \,e^{4} m^{3} x^{2}+1228 A a \,b^{3} e^{5} m^{2} x^{3}+12 A \,b^{4} d^{2} e^{3} m^{3} x^{2}-188 A \,b^{4} d \,e^{4} m^{2} x^{3}+324 A \,b^{4} e^{5} m \,x^{4}+19 B \,a^{4} e^{5} m^{4} x -8 B \,a^{3} b d \,e^{4} m^{4} x +484 B \,a^{3} b \,e^{5} m^{3} x^{2}-252 B \,a^{2} b^{2} d \,e^{4} m^{3} x^{2}+1842 B \,a^{2} b^{2} e^{5} m^{2} x^{3}+48 B a \,b^{3} d^{2} e^{3} m^{3} x^{2}-752 B a \,b^{3} d \,e^{4} m^{2} x^{3}+1296 B a \,b^{3} e^{5} m \,x^{4}+120 B \,b^{4} d^{2} e^{3} m^{2} x^{3}-250 B \,b^{4} d \,e^{4} m \,x^{4}+120 b^{4} B \,x^{5} e^{5}+20 A \,a^{4} e^{5} m^{4}-4 A \,a^{3} b d \,e^{4} m^{4}+548 A \,a^{3} b \,e^{5} m^{3} x -192 A \,a^{2} b^{2} d \,e^{4} m^{3} x +2232 A \,a^{2} b^{2} e^{5} m^{2} x^{2}+24 A a \,b^{3} d^{2} e^{3} m^{3} x -780 A a \,b^{3} d \,e^{4} m^{2} x^{2}+1584 A a \,b^{3} e^{5} m \,x^{3}+108 A \,b^{4} d^{2} e^{3} m^{2} x^{2}-288 A \,b^{4} d \,e^{4} m \,x^{3}+144 A \,b^{4} e^{5} x^{4}-B \,a^{4} d \,e^{4} m^{4}+137 B \,a^{4} e^{5} m^{3} x -128 B \,a^{3} b d \,e^{4} m^{3} x +1488 B \,a^{3} b \,e^{5} m^{2} x^{2}+36 B \,a^{2} b^{2} d^{2} e^{3} m^{3} x -1170 B \,a^{2} b^{2} d \,e^{4} m^{2} x^{2}+2376 B \,a^{2} b^{2} e^{5} m \,x^{3}+432 B a \,b^{3} d^{2} e^{3} m^{2} x^{2}-1152 B a \,b^{3} d \,e^{4} m \,x^{3}+576 B a \,b^{3} e^{5} x^{4}-60 B \,b^{4} d^{3} e^{2} m^{2} x^{2}+220 B \,b^{4} d^{2} e^{3} m \,x^{3}-120 B \,b^{4} d \,e^{4} x^{4}+155 A \,a^{4} e^{5} m^{3}-72 A \,a^{3} b d \,e^{4} m^{3}+1844 A \,a^{3} b \,e^{5} m^{2} x +12 A \,a^{2} b^{2} d^{2} e^{3} m^{3}-1068 A \,a^{2} b^{2} d \,e^{4} m^{2} x +3048 A \,a^{2} b^{2} e^{5} m \,x^{2}+288 A a \,b^{3} d^{2} e^{3} m^{2} x -1344 A a \,b^{3} d \,e^{4} m \,x^{2}+720 A a \,b^{3} e^{5} x^{3}-24 A \,b^{4} d^{3} e^{2} m^{2} x +240 A \,b^{4} d^{2} e^{3} m \,x^{2}-144 A \,b^{4} d \,e^{4} x^{3}-18 B \,a^{4} d \,e^{4} m^{3}+461 B \,a^{4} e^{5} m^{2} x +8 B \,a^{3} b \,d^{2} e^{3} m^{3}-712 B \,a^{3} b d \,e^{4} m^{2} x +2032 B \,a^{3} b \,e^{5} m \,x^{2}+432 B \,a^{2} b^{2} d^{2} e^{3} m^{2} x -2016 B \,a^{2} b^{2} d \,e^{4} m \,x^{2}+1080 B \,a^{2} b^{2} e^{5} x^{3}-96 B a \,b^{3} d^{3} e^{2} m^{2} x +960 B a \,b^{3} d^{2} e^{3} m \,x^{2}-576 B a \,b^{3} d \,e^{4} x^{3}-180 B \,b^{4} d^{3} e^{2} m \,x^{2}+120 B \,b^{4} d^{2} e^{3} x^{3}+580 A \,a^{4} e^{5} m^{2}-476 A \,a^{3} b d \,e^{4} m^{2}+2808 A \,a^{3} b \,e^{5} m x +180 A \,a^{2} b^{2} d^{2} e^{3} m^{2}-2328 A \,a^{2} b^{2} d \,e^{4} m x +1440 A \,a^{2} b^{2} e^{5} x^{2}-24 A a \,b^{3} d^{3} e^{2} m^{2}+984 A a \,b^{3} d^{2} e^{3} m x -720 A a \,b^{3} d \,e^{4} x^{2}-168 A \,b^{4} d^{3} e^{2} m x +144 A \,b^{4} d^{2} e^{3} x^{2}-119 B \,a^{4} d \,e^{4} m^{2}+702 B \,a^{4} e^{5} m x +120 B \,a^{3} b \,d^{2} e^{3} m^{2}-1552 B \,a^{3} b d \,e^{4} m x +960 B \,a^{3} b \,e^{5} x^{2}-36 B \,a^{2} b^{2} d^{3} e^{2} m^{2}+1476 B \,a^{2} b^{2} d^{2} e^{3} m x -1080 B \,a^{2} b^{2} d \,e^{4} x^{2}-672 B a \,b^{3} d^{3} e^{2} m x +576 B a \,b^{3} d^{2} e^{3} x^{2}+120 B \,b^{4} d^{4} e m x -120 B \,b^{4} d^{3} e^{2} x^{2}+1044 A \,a^{4} e^{5} m -1368 A \,a^{3} b d \,e^{4} m +1440 A \,a^{3} b \,e^{5} x +888 A \,a^{2} b^{2} d^{2} e^{3} m -1440 A \,a^{2} b^{2} d \,e^{4} x -264 A a \,b^{3} d^{3} e^{2} m +720 A a \,b^{3} d^{2} e^{3} x +24 A \,b^{4} d^{4} e m -144 A \,b^{4} d^{3} e^{2} x -342 B \,a^{4} d \,e^{4} m +360 B \,a^{4} e^{5} x +592 B \,a^{3} b \,d^{2} e^{3} m -960 B \,a^{3} b d \,e^{4} x -396 B \,a^{2} b^{2} d^{3} e^{2} m +1080 B \,a^{2} b^{2} d^{2} e^{3} x +96 B a \,b^{3} d^{4} e m -576 B a \,b^{3} d^{3} e^{2} x +120 B \,b^{4} d^{4} e x +720 A \,a^{4} e^{5}-1440 A \,a^{3} b d \,e^{4}+1440 A \,a^{2} b^{2} d^{2} e^{3}-720 A a \,b^{3} d^{3} e^{2}+144 A \,b^{4} d^{4} e -360 B \,a^{4} d \,e^{4}+960 B \,a^{3} b \,d^{2} e^{3}-1080 B \,d^{3} a^{2} b^{2} e^{2}+576 B a \,b^{3} d^{4} e -120 B \,b^{4} d^{5}\right) \left(e x +d \right)^{m +1}}{\left(m^{6}+21 m^{5}+175 m^{4}+735 m^{3}+1624 m^{2}+1764 m +720\right) e^{6}}"," ",0,"(e*x+d)^(m+1)*(B*b^4*e^5*m^5*x^5+A*b^4*e^5*m^5*x^4+4*B*a*b^3*e^5*m^5*x^4+15*B*b^4*e^5*m^4*x^5+4*A*a*b^3*e^5*m^5*x^3+16*A*b^4*e^5*m^4*x^4+6*B*a^2*b^2*e^5*m^5*x^3+64*B*a*b^3*e^5*m^4*x^4-5*B*b^4*d*e^4*m^4*x^4+85*B*b^4*e^5*m^3*x^5+6*A*a^2*b^2*e^5*m^5*x^2+68*A*a*b^3*e^5*m^4*x^3-4*A*b^4*d*e^4*m^4*x^3+95*A*b^4*e^5*m^3*x^4+4*B*a^3*b*e^5*m^5*x^2+102*B*a^2*b^2*e^5*m^4*x^3-16*B*a*b^3*d*e^4*m^4*x^3+380*B*a*b^3*e^5*m^3*x^4-50*B*b^4*d*e^4*m^3*x^4+225*B*b^4*e^5*m^2*x^5+4*A*a^3*b*e^5*m^5*x+108*A*a^2*b^2*e^5*m^4*x^2-12*A*a*b^3*d*e^4*m^4*x^2+428*A*a*b^3*e^5*m^3*x^3-48*A*b^4*d*e^4*m^3*x^3+260*A*b^4*e^5*m^2*x^4+B*a^4*e^5*m^5*x+72*B*a^3*b*e^5*m^4*x^2-18*B*a^2*b^2*d*e^4*m^4*x^2+642*B*a^2*b^2*e^5*m^3*x^3-192*B*a*b^3*d*e^4*m^3*x^3+1040*B*a*b^3*e^5*m^2*x^4+20*B*b^4*d^2*e^3*m^3*x^3-175*B*b^4*d*e^4*m^2*x^4+274*B*b^4*e^5*m*x^5+A*a^4*e^5*m^5+76*A*a^3*b*e^5*m^4*x-12*A*a^2*b^2*d*e^4*m^4*x+726*A*a^2*b^2*e^5*m^3*x^2-168*A*a*b^3*d*e^4*m^3*x^2+1228*A*a*b^3*e^5*m^2*x^3+12*A*b^4*d^2*e^3*m^3*x^2-188*A*b^4*d*e^4*m^2*x^3+324*A*b^4*e^5*m*x^4+19*B*a^4*e^5*m^4*x-8*B*a^3*b*d*e^4*m^4*x+484*B*a^3*b*e^5*m^3*x^2-252*B*a^2*b^2*d*e^4*m^3*x^2+1842*B*a^2*b^2*e^5*m^2*x^3+48*B*a*b^3*d^2*e^3*m^3*x^2-752*B*a*b^3*d*e^4*m^2*x^3+1296*B*a*b^3*e^5*m*x^4+120*B*b^4*d^2*e^3*m^2*x^3-250*B*b^4*d*e^4*m*x^4+120*B*b^4*e^5*x^5+20*A*a^4*e^5*m^4-4*A*a^3*b*d*e^4*m^4+548*A*a^3*b*e^5*m^3*x-192*A*a^2*b^2*d*e^4*m^3*x+2232*A*a^2*b^2*e^5*m^2*x^2+24*A*a*b^3*d^2*e^3*m^3*x-780*A*a*b^3*d*e^4*m^2*x^2+1584*A*a*b^3*e^5*m*x^3+108*A*b^4*d^2*e^3*m^2*x^2-288*A*b^4*d*e^4*m*x^3+144*A*b^4*e^5*x^4-B*a^4*d*e^4*m^4+137*B*a^4*e^5*m^3*x-128*B*a^3*b*d*e^4*m^3*x+1488*B*a^3*b*e^5*m^2*x^2+36*B*a^2*b^2*d^2*e^3*m^3*x-1170*B*a^2*b^2*d*e^4*m^2*x^2+2376*B*a^2*b^2*e^5*m*x^3+432*B*a*b^3*d^2*e^3*m^2*x^2-1152*B*a*b^3*d*e^4*m*x^3+576*B*a*b^3*e^5*x^4-60*B*b^4*d^3*e^2*m^2*x^2+220*B*b^4*d^2*e^3*m*x^3-120*B*b^4*d*e^4*x^4+155*A*a^4*e^5*m^3-72*A*a^3*b*d*e^4*m^3+1844*A*a^3*b*e^5*m^2*x+12*A*a^2*b^2*d^2*e^3*m^3-1068*A*a^2*b^2*d*e^4*m^2*x+3048*A*a^2*b^2*e^5*m*x^2+288*A*a*b^3*d^2*e^3*m^2*x-1344*A*a*b^3*d*e^4*m*x^2+720*A*a*b^3*e^5*x^3-24*A*b^4*d^3*e^2*m^2*x+240*A*b^4*d^2*e^3*m*x^2-144*A*b^4*d*e^4*x^3-18*B*a^4*d*e^4*m^3+461*B*a^4*e^5*m^2*x+8*B*a^3*b*d^2*e^3*m^3-712*B*a^3*b*d*e^4*m^2*x+2032*B*a^3*b*e^5*m*x^2+432*B*a^2*b^2*d^2*e^3*m^2*x-2016*B*a^2*b^2*d*e^4*m*x^2+1080*B*a^2*b^2*e^5*x^3-96*B*a*b^3*d^3*e^2*m^2*x+960*B*a*b^3*d^2*e^3*m*x^2-576*B*a*b^3*d*e^4*x^3-180*B*b^4*d^3*e^2*m*x^2+120*B*b^4*d^2*e^3*x^3+580*A*a^4*e^5*m^2-476*A*a^3*b*d*e^4*m^2+2808*A*a^3*b*e^5*m*x+180*A*a^2*b^2*d^2*e^3*m^2-2328*A*a^2*b^2*d*e^4*m*x+1440*A*a^2*b^2*e^5*x^2-24*A*a*b^3*d^3*e^2*m^2+984*A*a*b^3*d^2*e^3*m*x-720*A*a*b^3*d*e^4*x^2-168*A*b^4*d^3*e^2*m*x+144*A*b^4*d^2*e^3*x^2-119*B*a^4*d*e^4*m^2+702*B*a^4*e^5*m*x+120*B*a^3*b*d^2*e^3*m^2-1552*B*a^3*b*d*e^4*m*x+960*B*a^3*b*e^5*x^2-36*B*a^2*b^2*d^3*e^2*m^2+1476*B*a^2*b^2*d^2*e^3*m*x-1080*B*a^2*b^2*d*e^4*x^2-672*B*a*b^3*d^3*e^2*m*x+576*B*a*b^3*d^2*e^3*x^2+120*B*b^4*d^4*e*m*x-120*B*b^4*d^3*e^2*x^2+1044*A*a^4*e^5*m-1368*A*a^3*b*d*e^4*m+1440*A*a^3*b*e^5*x+888*A*a^2*b^2*d^2*e^3*m-1440*A*a^2*b^2*d*e^4*x-264*A*a*b^3*d^3*e^2*m+720*A*a*b^3*d^2*e^3*x+24*A*b^4*d^4*e*m-144*A*b^4*d^3*e^2*x-342*B*a^4*d*e^4*m+360*B*a^4*e^5*x+592*B*a^3*b*d^2*e^3*m-960*B*a^3*b*d*e^4*x-396*B*a^2*b^2*d^3*e^2*m+1080*B*a^2*b^2*d^2*e^3*x+96*B*a*b^3*d^4*e*m-576*B*a*b^3*d^3*e^2*x+120*B*b^4*d^4*e*x+720*A*a^4*e^5-1440*A*a^3*b*d*e^4+1440*A*a^2*b^2*d^2*e^3-720*A*a*b^3*d^3*e^2+144*A*b^4*d^4*e-360*B*a^4*d*e^4+960*B*a^3*b*d^2*e^3-1080*B*a^2*b^2*d^3*e^2+576*B*a*b^3*d^4*e-120*B*b^4*d^5)/e^6/(m^6+21*m^5+175*m^4+735*m^3+1624*m^2+1764*m+720)","B"
1885,1,576,138,0.056000," ","int((B*x+A)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2),x)","\frac{\left(B \,b^{2} e^{3} m^{3} x^{3}+A \,b^{2} e^{3} m^{3} x^{2}+2 B a b \,e^{3} m^{3} x^{2}+6 B \,b^{2} e^{3} m^{2} x^{3}+2 A a b \,e^{3} m^{3} x +7 A \,b^{2} e^{3} m^{2} x^{2}+B \,a^{2} e^{3} m^{3} x +14 B a b \,e^{3} m^{2} x^{2}-3 B \,b^{2} d \,e^{2} m^{2} x^{2}+11 B \,b^{2} e^{3} m \,x^{3}+A \,a^{2} e^{3} m^{3}+16 A a b \,e^{3} m^{2} x -2 A \,b^{2} d \,e^{2} m^{2} x +14 A \,b^{2} e^{3} m \,x^{2}+8 B \,a^{2} e^{3} m^{2} x -4 B a b d \,e^{2} m^{2} x +28 B a b \,e^{3} m \,x^{2}-9 B \,b^{2} d \,e^{2} m \,x^{2}+6 B \,b^{2} x^{3} e^{3}+9 A \,a^{2} e^{3} m^{2}-2 A a b d \,e^{2} m^{2}+38 A a b \,e^{3} m x -10 A \,b^{2} d \,e^{2} m x +8 A \,b^{2} e^{3} x^{2}-B \,a^{2} d \,e^{2} m^{2}+19 B \,a^{2} e^{3} m x -20 B a b d \,e^{2} m x +16 B a b \,e^{3} x^{2}+6 B \,b^{2} d^{2} e m x -6 B \,b^{2} d \,e^{2} x^{2}+26 A \,a^{2} e^{3} m -14 A a b d \,e^{2} m +24 A a b \,e^{3} x +2 A \,b^{2} d^{2} e m -8 A \,b^{2} d \,e^{2} x -7 B \,a^{2} d \,e^{2} m +12 B \,a^{2} e^{3} x +4 B a b \,d^{2} e m -16 B a b d \,e^{2} x +6 B \,b^{2} d^{2} e x +24 A \,a^{2} e^{3}-24 A a b d \,e^{2}+8 A \,b^{2} d^{2} e -12 B \,a^{2} d \,e^{2}+16 B a b \,d^{2} e -6 B \,b^{2} d^{3}\right) \left(e x +d \right)^{m +1}}{\left(m^{4}+10 m^{3}+35 m^{2}+50 m +24\right) e^{4}}"," ",0,"(e*x+d)^(m+1)*(B*b^2*e^3*m^3*x^3+A*b^2*e^3*m^3*x^2+2*B*a*b*e^3*m^3*x^2+6*B*b^2*e^3*m^2*x^3+2*A*a*b*e^3*m^3*x+7*A*b^2*e^3*m^2*x^2+B*a^2*e^3*m^3*x+14*B*a*b*e^3*m^2*x^2-3*B*b^2*d*e^2*m^2*x^2+11*B*b^2*e^3*m*x^3+A*a^2*e^3*m^3+16*A*a*b*e^3*m^2*x-2*A*b^2*d*e^2*m^2*x+14*A*b^2*e^3*m*x^2+8*B*a^2*e^3*m^2*x-4*B*a*b*d*e^2*m^2*x+28*B*a*b*e^3*m*x^2-9*B*b^2*d*e^2*m*x^2+6*B*b^2*e^3*x^3+9*A*a^2*e^3*m^2-2*A*a*b*d*e^2*m^2+38*A*a*b*e^3*m*x-10*A*b^2*d*e^2*m*x+8*A*b^2*e^3*x^2-B*a^2*d*e^2*m^2+19*B*a^2*e^3*m*x-20*B*a*b*d*e^2*m*x+16*B*a*b*e^3*x^2+6*B*b^2*d^2*e*m*x-6*B*b^2*d*e^2*x^2+26*A*a^2*e^3*m-14*A*a*b*d*e^2*m+24*A*a*b*e^3*x+2*A*b^2*d^2*e*m-8*A*b^2*d*e^2*x-7*B*a^2*d*e^2*m+12*B*a^2*e^3*x+4*B*a*b*d^2*e*m-16*B*a*b*d*e^2*x+6*B*b^2*d^2*e*x+24*A*a^2*e^3-24*A*a*b*d*e^2+8*A*b^2*d^2*e-12*B*a^2*d*e^2+16*B*a*b*d^2*e-6*B*b^2*d^3)/e^4/(m^4+10*m^3+35*m^2+50*m+24)","B"
1886,0,0,114,1.288000," ","int((B*x+A)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2),x)","\int \frac{\left(B x +A \right) \left(e x +d \right)^{m}}{b^{2} x^{2}+2 a b x +a^{2}}\, dx"," ",0,"int((B*x+A)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2),x)","F"
1887,0,0,124,1.247000," ","int((B*x+A)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^2,x)","\int \frac{\left(B x +A \right) \left(e x +d \right)^{m}}{\left(b^{2} x^{2}+2 a b x +a^{2}\right)^{2}}\, dx"," ",0,"int((B*x+A)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^2,x)","F"
1888,1,3931,394,0.069000," ","int((B*x+A)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\text{output too large to display}"," 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3*b^2*d^3*e^3*m^2+19020*B*a^3*b^2*d^2*e^4*m*x-12600*B*a^3*b^2*d*e^5*x^2+240*B*a^2*b^3*d^4*e^2*m^2-13200*B*a^2*b^3*d^3*e^3*m*x+10080*B*a^2*b^3*d^2*e^4*x^2+4800*B*a*b^4*d^4*e^2*m*x-4200*B*a*b^4*d^3*e^3*x^2-720*B*b^5*d^5*e*m*x+720*B*b^5*d^4*e^2*x^2+8028*A*a^5*e^6*m-13770*A*a^4*b*d*e^5*m+12600*A*a^4*b*e^6*x+12760*A*a^3*b^2*d^2*e^4*m-16800*A*a^3*b^2*d*e^5*x-6420*A*a^2*b^3*d^3*e^3*m+12600*A*a^2*b^3*d^2*e^4*x+1560*A*a*b^4*d^4*e^2*m-5040*A*a*b^4*d^3*e^3*x-120*A*b^5*d^5*e*m+840*A*b^5*d^4*e^2*x-2754*B*a^5*d*e^5*m+2520*B*a^5*e^6*x+6380*B*a^4*b*d^2*e^4*m-8400*B*a^4*b*d*e^5*x-6420*B*a^3*b^2*d^3*e^3*m+12600*B*a^3*b^2*d^2*e^4*x+3120*B*a^2*b^3*d^4*e^2*m-10080*B*a^2*b^3*d^3*e^3*x-600*B*a*b^4*d^5*e*m+4200*B*a*b^4*d^4*e^2*x-720*B*b^5*d^5*e*x+5040*A*a^5*e^6-12600*A*a^4*b*d*e^5+16800*A*a^3*b^2*d^2*e^4-12600*A*a^2*b^3*d^3*e^3+5040*A*a*b^4*d^4*e^2-840*A*b^5*d^5*e-2520*B*a^5*d*e^5+8400*B*a^4*b*d^2*e^4-12600*B*a^3*b^2*d^3*e^3+10080*B*a^2*b^3*d^4*e^2-4200*B*a*b^4*d^5*e+720*B*b^5*d^6)*((b*x+a)^2)^(5/2)/(b*x+a)^5/e^7/(m^7+28*m^6+322*m^5+1960*m^4+6769*m^3+13132*m^2+13068*m+5040)","B"
1889,1,1286,266,0.058000," ","int((B*x+A)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(B \,b^{3} e^{4} m^{4} x^{4}+A \,b^{3} e^{4} m^{4} x^{3}+3 B a \,b^{2} e^{4} m^{4} x^{3}+10 B \,b^{3} e^{4} m^{3} x^{4}+3 A a \,b^{2} e^{4} m^{4} x^{2}+11 A \,b^{3} e^{4} m^{3} x^{3}+3 B \,a^{2} b \,e^{4} m^{4} x^{2}+33 B a \,b^{2} e^{4} m^{3} x^{3}-4 B \,b^{3} d \,e^{3} m^{3} x^{3}+35 B \,b^{3} e^{4} m^{2} x^{4}+3 A \,a^{2} b \,e^{4} m^{4} x +36 A a \,b^{2} e^{4} m^{3} x^{2}-3 A \,b^{3} d \,e^{3} m^{3} x^{2}+41 A \,b^{3} e^{4} m^{2} x^{3}+B \,a^{3} e^{4} m^{4} x +36 B \,a^{2} b \,e^{4} m^{3} x^{2}-9 B a \,b^{2} d \,e^{3} m^{3} x^{2}+123 B a \,b^{2} e^{4} m^{2} x^{3}-24 B \,b^{3} d \,e^{3} m^{2} x^{3}+50 B \,b^{3} e^{4} m \,x^{4}+A \,a^{3} e^{4} m^{4}+39 A \,a^{2} b \,e^{4} m^{3} x -6 A a \,b^{2} d \,e^{3} m^{3} x +147 A a \,b^{2} e^{4} m^{2} x^{2}-24 A \,b^{3} d \,e^{3} m^{2} x^{2}+61 A \,b^{3} e^{4} m \,x^{3}+13 B \,a^{3} e^{4} m^{3} x -6 B \,a^{2} b d \,e^{3} m^{3} x +147 B \,a^{2} b \,e^{4} m^{2} x^{2}-72 B a \,b^{2} d \,e^{3} m^{2} x^{2}+183 B a \,b^{2} e^{4} m \,x^{3}+12 B \,b^{3} d^{2} e^{2} m^{2} x^{2}-44 B \,b^{3} d \,e^{3} m \,x^{3}+24 b^{3} B \,x^{4} e^{4}+14 A \,a^{3} e^{4} m^{3}-3 A \,a^{2} b d \,e^{3} m^{3}+177 A \,a^{2} b \,e^{4} m^{2} x -60 A a \,b^{2} d \,e^{3} m^{2} x +234 A a \,b^{2} e^{4} m \,x^{2}+6 A \,b^{3} d^{2} e^{2} m^{2} x -51 A \,b^{3} d \,e^{3} m \,x^{2}+30 A \,b^{3} e^{4} x^{3}-B \,a^{3} d \,e^{3} m^{3}+59 B \,a^{3} e^{4} m^{2} x -60 B \,a^{2} b d \,e^{3} m^{2} x +234 B \,a^{2} b \,e^{4} m \,x^{2}+18 B a \,b^{2} d^{2} e^{2} m^{2} x -153 B a \,b^{2} d \,e^{3} m \,x^{2}+90 B a \,b^{2} e^{4} x^{3}+36 B \,b^{3} d^{2} e^{2} m \,x^{2}-24 B \,b^{3} d \,e^{3} x^{3}+71 A \,a^{3} e^{4} m^{2}-36 A \,a^{2} b d \,e^{3} m^{2}+321 A \,a^{2} b \,e^{4} m x +6 A a \,b^{2} d^{2} e^{2} m^{2}-174 A a \,b^{2} d \,e^{3} m x +120 A a \,b^{2} e^{4} x^{2}+36 A \,b^{3} d^{2} e^{2} m x -30 A \,b^{3} d \,e^{3} x^{2}-12 B \,a^{3} d \,e^{3} m^{2}+107 B \,a^{3} e^{4} m x +6 B \,a^{2} b \,d^{2} e^{2} m^{2}-174 B \,a^{2} b d \,e^{3} m x +120 B \,a^{2} b \,e^{4} x^{2}+108 B a \,b^{2} d^{2} e^{2} m x -90 B a \,b^{2} d \,e^{3} x^{2}-24 B \,b^{3} d^{3} e m x +24 B \,b^{3} d^{2} e^{2} x^{2}+154 A \,a^{3} e^{4} m -141 A \,a^{2} b d \,e^{3} m +180 A \,a^{2} b \,e^{4} x +54 A a \,b^{2} d^{2} e^{2} m -120 A a \,b^{2} d \,e^{3} x -6 A \,b^{3} d^{3} e m +30 A \,b^{3} d^{2} e^{2} x -47 B \,a^{3} d \,e^{3} m +60 B \,a^{3} e^{4} x +54 B \,a^{2} b \,d^{2} e^{2} m -120 B \,a^{2} b d \,e^{3} x -18 B a \,b^{2} d^{3} e m +90 B a \,b^{2} d^{2} e^{2} x -24 B \,b^{3} d^{3} e x +120 A \,a^{3} e^{4}-180 A \,a^{2} b d \,e^{3}+120 A a \,b^{2} d^{2} e^{2}-30 A \,b^{3} d^{3} e -60 B \,a^{3} d \,e^{3}+120 B \,a^{2} b \,d^{2} e^{2}-90 B a \,b^{2} d^{3} e +24 B \,b^{3} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} \left(e x +d \right)^{m +1}}{\left(b x +a \right)^{3} \left(m^{5}+15 m^{4}+85 m^{3}+225 m^{2}+274 m +120\right) e^{5}}"," ",0,"(e*x+d)^(m+1)*(B*b^3*e^4*m^4*x^4+A*b^3*e^4*m^4*x^3+3*B*a*b^2*e^4*m^4*x^3+10*B*b^3*e^4*m^3*x^4+3*A*a*b^2*e^4*m^4*x^2+11*A*b^3*e^4*m^3*x^3+3*B*a^2*b*e^4*m^4*x^2+33*B*a*b^2*e^4*m^3*x^3-4*B*b^3*d*e^3*m^3*x^3+35*B*b^3*e^4*m^2*x^4+3*A*a^2*b*e^4*m^4*x+36*A*a*b^2*e^4*m^3*x^2-3*A*b^3*d*e^3*m^3*x^2+41*A*b^3*e^4*m^2*x^3+B*a^3*e^4*m^4*x+36*B*a^2*b*e^4*m^3*x^2-9*B*a*b^2*d*e^3*m^3*x^2+123*B*a*b^2*e^4*m^2*x^3-24*B*b^3*d*e^3*m^2*x^3+50*B*b^3*e^4*m*x^4+A*a^3*e^4*m^4+39*A*a^2*b*e^4*m^3*x-6*A*a*b^2*d*e^3*m^3*x+147*A*a*b^2*e^4*m^2*x^2-24*A*b^3*d*e^3*m^2*x^2+61*A*b^3*e^4*m*x^3+13*B*a^3*e^4*m^3*x-6*B*a^2*b*d*e^3*m^3*x+147*B*a^2*b*e^4*m^2*x^2-72*B*a*b^2*d*e^3*m^2*x^2+183*B*a*b^2*e^4*m*x^3+12*B*b^3*d^2*e^2*m^2*x^2-44*B*b^3*d*e^3*m*x^3+24*B*b^3*e^4*x^4+14*A*a^3*e^4*m^3-3*A*a^2*b*d*e^3*m^3+177*A*a^2*b*e^4*m^2*x-60*A*a*b^2*d*e^3*m^2*x+234*A*a*b^2*e^4*m*x^2+6*A*b^3*d^2*e^2*m^2*x-51*A*b^3*d*e^3*m*x^2+30*A*b^3*e^4*x^3-B*a^3*d*e^3*m^3+59*B*a^3*e^4*m^2*x-60*B*a^2*b*d*e^3*m^2*x+234*B*a^2*b*e^4*m*x^2+18*B*a*b^2*d^2*e^2*m^2*x-153*B*a*b^2*d*e^3*m*x^2+90*B*a*b^2*e^4*x^3+36*B*b^3*d^2*e^2*m*x^2-24*B*b^3*d*e^3*x^3+71*A*a^3*e^4*m^2-36*A*a^2*b*d*e^3*m^2+321*A*a^2*b*e^4*m*x+6*A*a*b^2*d^2*e^2*m^2-174*A*a*b^2*d*e^3*m*x+120*A*a*b^2*e^4*x^2+36*A*b^3*d^2*e^2*m*x-30*A*b^3*d*e^3*x^2-12*B*a^3*d*e^3*m^2+107*B*a^3*e^4*m*x+6*B*a^2*b*d^2*e^2*m^2-174*B*a^2*b*d*e^3*m*x+120*B*a^2*b*e^4*x^2+108*B*a*b^2*d^2*e^2*m*x-90*B*a*b^2*d*e^3*x^2-24*B*b^3*d^3*e*m*x+24*B*b^3*d^2*e^2*x^2+154*A*a^3*e^4*m-141*A*a^2*b*d*e^3*m+180*A*a^2*b*e^4*x+54*A*a*b^2*d^2*e^2*m-120*A*a*b^2*d*e^3*x-6*A*b^3*d^3*e*m+30*A*b^3*d^2*e^2*x-47*B*a^3*d*e^3*m+60*B*a^3*e^4*x+54*B*a^2*b*d^2*e^2*m-120*B*a^2*b*d*e^3*x-18*B*a*b^2*d^3*e*m+90*B*a*b^2*d^2*e^2*x-24*B*b^3*d^3*e*x+120*A*a^3*e^4-180*A*a^2*b*d*e^3+120*A*a*b^2*d^2*e^2-30*A*b^3*d^3*e-60*B*a^3*d*e^3+120*B*a^2*b*d^2*e^2-90*B*a*b^2*d^3*e+24*B*b^3*d^4)*((b*x+a)^2)^(3/2)/(b*x+a)^3/e^5/(m^5+15*m^4+85*m^3+225*m^2+274*m+120)","B"
1890,1,205,138,0.046000," ","int((B*x+A)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^(1/2),x)","\frac{\left(B b \,e^{2} m^{2} x^{2}+A b \,e^{2} m^{2} x +B a \,e^{2} m^{2} x +3 B b \,e^{2} m \,x^{2}+A a \,e^{2} m^{2}+4 A b \,e^{2} m x +4 B a \,e^{2} m x -2 B b d e m x +2 B b \,x^{2} e^{2}+5 A a \,e^{2} m -A b d e m +3 A b \,e^{2} x -a B d e m +3 B a \,e^{2} x -2 B b d e x +6 A a \,e^{2}-3 A b d e -3 B a d e +2 B b \,d^{2}\right) \sqrt{\left(b x +a \right)^{2}}\, \left(e x +d \right)^{m +1}}{\left(b x +a \right) \left(m^{3}+6 m^{2}+11 m +6\right) e^{3}}"," ",0,"(e*x+d)^(m+1)*(B*b*e^2*m^2*x^2+A*b*e^2*m^2*x+B*a*e^2*m^2*x+3*B*b*e^2*m*x^2+A*a*e^2*m^2+4*A*b*e^2*m*x+4*B*a*e^2*m*x-2*B*b*d*e*m*x+2*B*b*e^2*x^2+5*A*a*e^2*m-A*b*d*e*m+3*A*b*e^2*x-B*a*d*e*m+3*B*a*e^2*x-2*B*b*d*e*x+6*A*a*e^2-3*A*b*d*e-3*B*a*d*e+2*B*b*d^2)*((b*x+a)^2)^(1/2)/(b*x+a)/e^3/(m^3+6*m^2+11*m+6)","A"
1891,0,0,115,1.556000," ","int((B*x+A)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^(1/2),x)","\int \frac{\left(B x +A \right) \left(e x +d \right)^{m}}{\sqrt{b^{2} x^{2}+2 a b x +a^{2}}}\, dx"," ",0,"int((B*x+A)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^(1/2),x)","F"
1892,0,0,145,1.944000," ","int((B*x+A)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\int \frac{\left(B x +A \right) \left(e x +d \right)^{m}}{\left(b^{2} x^{2}+2 a b x +a^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"int((B*x+A)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","F"
1893,0,0,178,1.425000," ","int((B*x+A)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^p,x)","\int \left(B x +A \right) \left(e x +d \right)^{m} \left(b^{2} x^{2}+2 a b x +a^{2}\right)^{p}\, dx"," ",0,"int((B*x+A)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^p,x)","F"
1894,1,174,119,0.051000," ","int((e*x+d)^(-2*p-3)*(g*x+f)*(b^2*x^2+2*a*b*x+a^2)^p,x)","-\frac{\left(b x +a \right) \left(2 a e g p x -2 b d g p x +2 a e f p +2 a e g x -2 b d f p -b d g x -b e f x +a d g +a e f -2 b d f \right) \left(e x +d \right)^{-2 p -2} \left(b^{2} x^{2}+2 a b x +a^{2}\right)^{p}}{2 \left(2 a^{2} e^{2} p^{2}-4 a b d e \,p^{2}+2 b^{2} d^{2} p^{2}+3 a^{2} e^{2} p -6 a b d e p +3 b^{2} d^{2} p +a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right)}"," ",0,"-1/2*(b*x+a)*(e*x+d)^(-2*p-2)*(2*a*e*g*p*x-2*b*d*g*p*x+2*a*e*f*p+2*a*e*g*x-2*b*d*f*p-b*d*g*x-b*e*f*x+a*d*g+a*e*f-2*b*d*f)*(b^2*x^2+2*a*b*x+a^2)^p/(2*a^2*e^2*p^2-4*a*b*d*e*p^2+2*b^2*d^2*p^2+3*a^2*e^2*p-6*a*b*d*e*p+3*b^2*d^2*p+a^2*e^2-2*a*b*d*e+b^2*d^2)","A"
1895,1,394,84,0.038000," ","int((b*x+a)*(e*x+d)^5*(b^2*x^2+2*a*b*x+a^2),x)","\frac{b^{3} e^{5} x^{9}}{9}+a^{3} d^{5} x +\frac{\left(2 a \,b^{2} e^{5}+\left(a \,e^{5}+5 b d \,e^{4}\right) b^{2}\right) x^{8}}{8}+\frac{\left(a^{2} b \,e^{5}+2 \left(a \,e^{5}+5 b d \,e^{4}\right) a b +\left(5 a d \,e^{4}+10 b \,d^{2} e^{3}\right) b^{2}\right) x^{7}}{7}+\frac{\left(\left(a \,e^{5}+5 b d \,e^{4}\right) a^{2}+2 \left(5 a d \,e^{4}+10 b \,d^{2} e^{3}\right) a b +\left(10 a \,d^{2} e^{3}+10 b \,d^{3} e^{2}\right) b^{2}\right) x^{6}}{6}+\frac{\left(\left(5 a d \,e^{4}+10 b \,d^{2} e^{3}\right) a^{2}+2 \left(10 a \,d^{2} e^{3}+10 b \,d^{3} e^{2}\right) a b +\left(10 a \,d^{3} e^{2}+5 b \,d^{4} e \right) b^{2}\right) x^{5}}{5}+\frac{\left(\left(10 a \,d^{2} e^{3}+10 b \,d^{3} e^{2}\right) a^{2}+2 \left(10 a \,d^{3} e^{2}+5 b \,d^{4} e \right) a b +\left(5 a \,d^{4} e +b \,d^{5}\right) b^{2}\right) x^{4}}{4}+\frac{\left(a \,b^{2} d^{5}+\left(10 a \,d^{3} e^{2}+5 b \,d^{4} e \right) a^{2}+2 \left(5 a \,d^{4} e +b \,d^{5}\right) a b \right) x^{3}}{3}+\frac{\left(2 a^{2} b \,d^{5}+\left(5 a \,d^{4} e +b \,d^{5}\right) a^{2}\right) x^{2}}{2}"," ",0,"1/9*b^3*e^5*x^9+1/8*((a*e^5+5*b*d*e^4)*b^2+2*b^2*e^5*a)*x^8+1/7*((5*a*d*e^4+10*b*d^2*e^3)*b^2+2*(a*e^5+5*b*d*e^4)*a*b+a^2*b*e^5)*x^7+1/6*((10*a*d^2*e^3+10*b*d^3*e^2)*b^2+2*(5*a*d*e^4+10*b*d^2*e^3)*a*b+(a*e^5+5*b*d*e^4)*a^2)*x^6+1/5*((10*a*d^3*e^2+5*b*d^4*e)*b^2+2*(10*a*d^2*e^3+10*b*d^3*e^2)*a*b+(5*a*d*e^4+10*b*d^2*e^3)*a^2)*x^5+1/4*((5*a*d^4*e+b*d^5)*b^2+2*(10*a*d^3*e^2+5*b*d^4*e)*a*b+(10*a*d^2*e^3+10*b*d^3*e^2)*a^2)*x^4+1/3*(a*d^5*b^2+2*(5*a*d^4*e+b*d^5)*a*b+(10*a*d^3*e^2+5*b*d^4*e)*a^2)*x^3+1/2*(2*a^2*d^5*b+(5*a*d^4*e+b*d^5)*a^2)*x^2+a^3*d^5*x","B"
1896,1,319,84,0.043000," ","int((b*x+a)*(e*x+d)^4*(b^2*x^2+2*a*b*x+a^2),x)","\frac{b^{3} e^{4} x^{8}}{8}+a^{3} d^{4} x +\frac{\left(2 a \,b^{2} e^{4}+\left(a \,e^{4}+4 b d \,e^{3}\right) b^{2}\right) x^{7}}{7}+\frac{\left(a^{2} b \,e^{4}+2 \left(a \,e^{4}+4 b d \,e^{3}\right) a b +\left(4 a d \,e^{3}+6 b \,d^{2} e^{2}\right) b^{2}\right) x^{6}}{6}+\frac{\left(\left(a \,e^{4}+4 b d \,e^{3}\right) a^{2}+2 \left(4 a d \,e^{3}+6 b \,d^{2} e^{2}\right) a b +\left(6 a \,d^{2} e^{2}+4 b \,d^{3} e \right) b^{2}\right) x^{5}}{5}+\frac{\left(\left(4 a d \,e^{3}+6 b \,d^{2} e^{2}\right) a^{2}+2 \left(6 a \,d^{2} e^{2}+4 b \,d^{3} e \right) a b +\left(4 a \,d^{3} e +b \,d^{4}\right) b^{2}\right) x^{4}}{4}+\frac{\left(a \,b^{2} d^{4}+\left(6 a \,d^{2} e^{2}+4 b \,d^{3} e \right) a^{2}+2 \left(4 a \,d^{3} e +b \,d^{4}\right) a b \right) x^{3}}{3}+\frac{\left(2 a^{2} b \,d^{4}+\left(4 a \,d^{3} e +b \,d^{4}\right) a^{2}\right) x^{2}}{2}"," ",0,"1/8*b^3*e^4*x^8+1/7*((a*e^4+4*b*d*e^3)*b^2+2*a*b^2*e^4)*x^7+1/6*((4*a*d*e^3+6*b*d^2*e^2)*b^2+2*(a*e^4+4*b*d*e^3)*a*b+b*e^4*a^2)*x^6+1/5*((6*a*d^2*e^2+4*b*d^3*e)*b^2+2*(4*a*d*e^3+6*b*d^2*e^2)*a*b+(a*e^4+4*b*d*e^3)*a^2)*x^5+1/4*((4*a*d^3*e+b*d^4)*b^2+2*(6*a*d^2*e^2+4*b*d^3*e)*a*b+(4*a*d*e^3+6*b*d^2*e^2)*a^2)*x^4+1/3*(a*d^4*b^2+2*(4*a*d^3*e+b*d^4)*a*b+(6*a*d^2*e^2+4*b*d^3*e)*a^2)*x^3+1/2*(2*a^2*d^4*b+(4*a*d^3*e+b*d^4)*a^2)*x^2+a^3*d^4*x","B"
1897,1,244,84,0.040000," ","int((b*x+a)*(e*x+d)^3*(b^2*x^2+2*a*b*x+a^2),x)","\frac{b^{3} e^{3} x^{7}}{7}+a^{3} d^{3} x +\frac{\left(2 a \,b^{2} e^{3}+\left(a \,e^{3}+3 b d \,e^{2}\right) b^{2}\right) x^{6}}{6}+\frac{\left(a^{2} b \,e^{3}+2 \left(a \,e^{3}+3 b d \,e^{2}\right) a b +\left(3 a d \,e^{2}+3 b \,d^{2} e \right) b^{2}\right) x^{5}}{5}+\frac{\left(\left(a \,e^{3}+3 b d \,e^{2}\right) a^{2}+2 \left(3 a d \,e^{2}+3 b \,d^{2} e \right) a b +\left(3 a \,d^{2} e +b \,d^{3}\right) b^{2}\right) x^{4}}{4}+\frac{\left(a \,b^{2} d^{3}+\left(3 a d \,e^{2}+3 b \,d^{2} e \right) a^{2}+2 \left(3 a \,d^{2} e +b \,d^{3}\right) a b \right) x^{3}}{3}+\frac{\left(2 a^{2} b \,d^{3}+\left(3 a \,d^{2} e +b \,d^{3}\right) a^{2}\right) x^{2}}{2}"," ",0,"1/7*b^3*e^3*x^7+1/6*((a*e^3+3*b*d*e^2)*b^2+2*b^2*e^3*a)*x^6+1/5*((3*a*d*e^2+3*b*d^2*e)*b^2+2*(a*e^3+3*b*d*e^2)*a*b+b*e^3*a^2)*x^5+1/4*((3*a*d^2*e+b*d^3)*b^2+2*(3*a*d*e^2+3*b*d^2*e)*a*b+(a*e^3+3*b*d*e^2)*a^2)*x^4+1/3*(a*d^3*b^2+2*(3*a*d^2*e+b*d^3)*a*b+(3*a*d*e^2+3*b*d^2*e)*a^2)*x^3+1/2*(2*a^2*d^3*b+(3*a*d^2*e+b*d^3)*a^2)*x^2+a^3*d^3*x","B"
1898,1,169,59,0.046000," ","int((b*x+a)*(e*x+d)^2*(b^2*x^2+2*a*b*x+a^2),x)","\frac{b^{3} e^{2} x^{6}}{6}+a^{3} d^{2} x +\frac{\left(2 a \,b^{2} e^{2}+\left(a \,e^{2}+2 b d e \right) b^{2}\right) x^{5}}{5}+\frac{\left(a^{2} b \,e^{2}+2 \left(a \,e^{2}+2 b d e \right) a b +\left(2 a d e +b \,d^{2}\right) b^{2}\right) x^{4}}{4}+\frac{\left(a \,b^{2} d^{2}+\left(a \,e^{2}+2 b d e \right) a^{2}+2 \left(2 a d e +b \,d^{2}\right) a b \right) x^{3}}{3}+\frac{\left(2 a^{2} b \,d^{2}+\left(2 a d e +b \,d^{2}\right) a^{2}\right) x^{2}}{2}"," ",0,"1/6*b^3*e^2*x^6+1/5*((a*e^2+2*b*d*e)*b^2+2*b^2*e^2*a)*x^5+1/4*((2*a*d*e+b*d^2)*b^2+2*(a*e^2+2*b*d*e)*a*b+b*e^2*a^2)*x^4+1/3*(a*b^2*d^2+2*(2*a*d*e+b*d^2)*a*b+(a*e^2+2*b*d*e)*a^2)*x^3+1/2*(2*a^2*d^2*b+(2*a*d*e+b*d^2)*a^2)*x^2+a^3*d^2*x","B"
1899,1,94,34,0.040000," ","int((b*x+a)*(e*x+d)*(b^2*x^2+2*a*b*x+a^2),x)","\frac{b^{3} e \,x^{5}}{5}+a^{3} d x +\frac{\left(2 a \,b^{2} e +\left(a e +b d \right) b^{2}\right) x^{4}}{4}+\frac{\left(a^{2} b e +a \,b^{2} d +2 \left(a e +b d \right) a b \right) x^{3}}{3}+\frac{\left(2 a^{2} b d +\left(a e +b d \right) a^{2}\right) x^{2}}{2}"," ",0,"1/5*b^3*e*x^5+1/4*((a*e+b*d)*b^2+2*b^2*e*a)*x^4+1/3*(a*d*b^2+2*(a*e+b*d)*a*b+b*e*a^2)*x^3+1/2*(2*a^2*d*b+(a*e+b*d)*a^2)*x^2+a^3*d*x","B"
1900,1,32,12,0.046000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2),x)","\frac{1}{4} b^{3} x^{4}+a \,b^{2} x^{3}+\frac{3}{2} a^{2} b \,x^{2}+a^{3} x"," ",0,"1/4*b^3*x^4+a*b^2*x^3+3/2*a^2*b*x^2+a^3*x","B"
1901,1,133,70,0.049000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d),x)","\frac{b^{3} x^{3}}{3 e}+\frac{3 a \,b^{2} x^{2}}{2 e}-\frac{b^{3} d \,x^{2}}{2 e^{2}}+\frac{a^{3} \ln \left(e x +d \right)}{e}-\frac{3 a^{2} b d \ln \left(e x +d \right)}{e^{2}}+\frac{3 a^{2} b x}{e}+\frac{3 a \,b^{2} d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{3 a \,b^{2} d x}{e^{2}}-\frac{b^{3} d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{b^{3} d^{2} x}{e^{3}}"," ",0,"1/3*b^3/e*x^3+3/2*b^2/e*x^2*a-1/2*b^3/e^2*x^2*d+3*b/e*a^2*x-3*b^2/e^2*a*d*x+b^3/e^3*d^2*x+1/e*ln(e*x+d)*a^3-3/e^2*ln(e*x+d)*a^2*b*d+3/e^3*ln(e*x+d)*a*b^2*d^2-1/e^4*ln(e*x+d)*b^3*d^3","A"
1902,1,149,73,0.053000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^2,x)","\frac{b^{3} x^{2}}{2 e^{2}}-\frac{a^{3}}{\left(e x +d \right) e}+\frac{3 a^{2} b d}{\left(e x +d \right) e^{2}}+\frac{3 a^{2} b \ln \left(e x +d \right)}{e^{2}}-\frac{3 a \,b^{2} d^{2}}{\left(e x +d \right) e^{3}}-\frac{6 a \,b^{2} d \ln \left(e x +d \right)}{e^{3}}+\frac{3 a \,b^{2} x}{e^{2}}+\frac{b^{3} d^{3}}{\left(e x +d \right) e^{4}}+\frac{3 b^{3} d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{2 b^{3} d x}{e^{3}}"," ",0,"1/2*b^3/e^2*x^2+3*b^2/e^2*a*x-2*b^3*d/e^3*x-1/e/(e*x+d)*a^3+3/e^2/(e*x+d)*a^2*b*d-3/e^3/(e*x+d)*a*b^2*d^2+1/(e*x+d)*b^3*d^3/e^4+3*b/e^2*ln(e*x+d)*a^2-6*b^2/e^3*ln(e*x+d)*a*d+3*b^3*d^2/e^4*ln(e*x+d)","B"
1903,1,160,76,0.049000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^3,x)","-\frac{a^{3}}{2 \left(e x +d \right)^{2} e}+\frac{3 a^{2} b d}{2 \left(e x +d \right)^{2} e^{2}}-\frac{3 a \,b^{2} d^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{b^{3} d^{3}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{3 a^{2} b}{\left(e x +d \right) e^{2}}+\frac{6 a \,b^{2} d}{\left(e x +d \right) e^{3}}+\frac{3 a \,b^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{3 b^{3} d^{2}}{\left(e x +d \right) e^{4}}-\frac{3 b^{3} d \ln \left(e x +d \right)}{e^{4}}+\frac{b^{3} x}{e^{3}}"," ",0,"b^3*x/e^3-3*b/e^2/(e*x+d)*a^2+6*b^2/e^3/(e*x+d)*a*d-3*b^3/e^4/(e*x+d)*d^2-1/2/e/(e*x+d)^2*a^3+3/2/e^2/(e*x+d)^2*a^2*b*d-3/2/e^3/(e*x+d)^2*d^2*a*b^2+1/2/e^4/(e*x+d)^2*b^3*d^3+3*b^2/e^3*ln(e*x+d)*a-3*b^3/e^4*ln(e*x+d)*d","B"
1904,1,166,82,0.051000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^4,x)","-\frac{a^{3}}{3 \left(e x +d \right)^{3} e}+\frac{a^{2} b d}{\left(e x +d \right)^{3} e^{2}}-\frac{a \,b^{2} d^{2}}{\left(e x +d \right)^{3} e^{3}}+\frac{b^{3} d^{3}}{3 \left(e x +d \right)^{3} e^{4}}-\frac{3 a^{2} b}{2 \left(e x +d \right)^{2} e^{2}}+\frac{3 a \,b^{2} d}{\left(e x +d \right)^{2} e^{3}}-\frac{3 b^{3} d^{2}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{3 a \,b^{2}}{\left(e x +d \right) e^{3}}+\frac{3 b^{3} d}{\left(e x +d \right) e^{4}}+\frac{b^{3} \ln \left(e x +d \right)}{e^{4}}"," ",0,"-3*b^2/e^3/(e*x+d)*a+3*b^3/e^4/(e*x+d)*d-3/2*b/e^2/(e*x+d)^2*a^2+3*b^2/e^3/(e*x+d)^2*a*d-3/2*b^3/e^4/(e*x+d)^2*d^2-1/3/e/(e*x+d)^3*a^3+1/e^2/(e*x+d)^3*a^2*b*d-1/e^3/(e*x+d)^3*a*b^2*d^2+1/3/e^4/(e*x+d)^3*b^3*d^3+b^3*ln(e*x+d)/e^4","B"
1905,1,817,133,0.038000," ","int((b*x+a)*(e*x+d)^6*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{b^{5} e^{6} x^{12}}{12}+a^{5} d^{6} x +\frac{\left(4 a \,b^{4} e^{6}+\left(a \,e^{6}+6 b d \,e^{5}\right) b^{4}\right) x^{11}}{11}+\frac{\left(6 a^{2} b^{3} e^{6}+4 \left(a \,e^{6}+6 b d \,e^{5}\right) a \,b^{3}+\left(6 a d \,e^{5}+15 b \,d^{2} e^{4}\right) b^{4}\right) x^{10}}{10}+\frac{\left(4 a^{3} b^{2} e^{6}+6 \left(a \,e^{6}+6 b d \,e^{5}\right) a^{2} b^{2}+4 \left(6 a d \,e^{5}+15 b \,d^{2} e^{4}\right) a \,b^{3}+\left(15 a \,d^{2} e^{4}+20 b \,d^{3} e^{3}\right) b^{4}\right) x^{9}}{9}+\frac{\left(a^{4} b \,e^{6}+4 \left(a \,e^{6}+6 b d \,e^{5}\right) a^{3} b +6 \left(6 a d \,e^{5}+15 b \,d^{2} e^{4}\right) a^{2} b^{2}+4 \left(15 a \,d^{2} e^{4}+20 b \,d^{3} e^{3}\right) a \,b^{3}+\left(20 a \,d^{3} e^{3}+15 b \,d^{4} e^{2}\right) b^{4}\right) x^{8}}{8}+\frac{\left(\left(a \,e^{6}+6 b d \,e^{5}\right) a^{4}+4 \left(6 a d \,e^{5}+15 b \,d^{2} e^{4}\right) a^{3} b +6 \left(15 a \,d^{2} e^{4}+20 b \,d^{3} e^{3}\right) a^{2} b^{2}+4 \left(20 a \,d^{3} e^{3}+15 b \,d^{4} e^{2}\right) a \,b^{3}+\left(15 a \,d^{4} e^{2}+6 b \,d^{5} e \right) b^{4}\right) x^{7}}{7}+\frac{\left(\left(6 a d \,e^{5}+15 b \,d^{2} e^{4}\right) a^{4}+4 \left(15 a \,d^{2} e^{4}+20 b \,d^{3} e^{3}\right) a^{3} b +6 \left(20 a \,d^{3} e^{3}+15 b \,d^{4} e^{2}\right) a^{2} b^{2}+4 \left(15 a \,d^{4} e^{2}+6 b \,d^{5} e \right) a \,b^{3}+\left(6 a \,d^{5} e +b \,d^{6}\right) b^{4}\right) x^{6}}{6}+\frac{\left(a \,b^{4} d^{6}+\left(15 a \,d^{2} e^{4}+20 b \,d^{3} e^{3}\right) a^{4}+4 \left(20 a \,d^{3} e^{3}+15 b \,d^{4} e^{2}\right) a^{3} b +6 \left(15 a \,d^{4} e^{2}+6 b \,d^{5} e \right) a^{2} b^{2}+4 \left(6 a \,d^{5} e +b \,d^{6}\right) a \,b^{3}\right) x^{5}}{5}+\frac{\left(4 a^{2} b^{3} d^{6}+\left(20 a \,d^{3} e^{3}+15 b \,d^{4} e^{2}\right) a^{4}+4 \left(15 a \,d^{4} e^{2}+6 b \,d^{5} e \right) a^{3} b +6 \left(6 a \,d^{5} e +b \,d^{6}\right) a^{2} b^{2}\right) x^{4}}{4}+\frac{\left(6 a^{3} b^{2} d^{6}+\left(15 a \,d^{4} e^{2}+6 b \,d^{5} e \right) a^{4}+4 \left(6 a \,d^{5} e +b \,d^{6}\right) a^{3} b \right) x^{3}}{3}+\frac{\left(4 a^{4} b \,d^{6}+\left(6 a \,d^{5} e +b \,d^{6}\right) a^{4}\right) x^{2}}{2}"," ",0,"1/12*b^5*e^6*x^12+1/11*((a*e^6+6*b*d*e^5)*b^4+4*b^4*e^6*a)*x^11+1/10*((6*a*d*e^5+15*b*d^2*e^4)*b^4+4*(a*e^6+6*b*d*e^5)*a*b^3+6*b^3*e^6*a^2)*x^10+1/9*((15*a*d^2*e^4+20*b*d^3*e^3)*b^4+4*(6*a*d*e^5+15*b*d^2*e^4)*a*b^3+6*(a*e^6+6*b*d*e^5)*a^2*b^2+4*b^2*e^6*a^3)*x^9+1/8*((20*a*d^3*e^3+15*b*d^4*e^2)*b^4+4*(15*a*d^2*e^4+20*b*d^3*e^3)*a*b^3+6*(6*a*d*e^5+15*b*d^2*e^4)*a^2*b^2+4*(a*e^6+6*b*d*e^5)*a^3*b+b*e^6*a^4)*x^8+1/7*((15*a*d^4*e^2+6*b*d^5*e)*b^4+4*(20*a*d^3*e^3+15*b*d^4*e^2)*a*b^3+6*(15*a*d^2*e^4+20*b*d^3*e^3)*a^2*b^2+4*(6*a*d*e^5+15*b*d^2*e^4)*a^3*b+(a*e^6+6*b*d*e^5)*a^4)*x^7+1/6*((6*a*d^5*e+b*d^6)*b^4+4*(15*a*d^4*e^2+6*b*d^5*e)*a*b^3+6*(20*a*d^3*e^3+15*b*d^4*e^2)*a^2*b^2+4*(15*a*d^2*e^4+20*b*d^3*e^3)*a^3*b+(6*a*d*e^5+15*b*d^2*e^4)*a^4)*x^6+1/5*(a*d^6*b^4+4*(6*a*d^5*e+b*d^6)*a*b^3+6*(15*a*d^4*e^2+6*b*d^5*e)*a^2*b^2+4*(20*a*d^3*e^3+15*b*d^4*e^2)*a^3*b+(15*a*d^2*e^4+20*b*d^3*e^3)*a^4)*x^5+1/4*(4*a^2*d^6*b^3+6*(6*a*d^5*e+b*d^6)*a^2*b^2+4*(15*a*d^4*e^2+6*b*d^5*e)*a^3*b+(20*a*d^3*e^3+15*b*d^4*e^2)*a^4)*x^4+1/3*(6*a^3*d^6*b^2+4*(6*a*d^5*e+b*d^6)*a^3*b+(15*a*d^4*e^2+6*b*d^5*e)*a^4)*x^3+1/2*(4*a^4*d^6*b+(6*a*d^5*e+b*d^6)*a^4)*x^2+a^5*d^6*x","B"
1906,1,688,134,0.043000," ","int((b*x+a)*(e*x+d)^5*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{b^{5} e^{5} x^{11}}{11}+a^{5} d^{5} x +\frac{\left(4 a \,b^{4} e^{5}+\left(a \,e^{5}+5 b d \,e^{4}\right) b^{4}\right) x^{10}}{10}+\frac{\left(6 a^{2} b^{3} e^{5}+4 \left(a \,e^{5}+5 b d \,e^{4}\right) a \,b^{3}+\left(5 a d \,e^{4}+10 b \,d^{2} e^{3}\right) b^{4}\right) x^{9}}{9}+\frac{\left(4 a^{3} b^{2} e^{5}+6 \left(a \,e^{5}+5 b d \,e^{4}\right) a^{2} b^{2}+4 \left(5 a d \,e^{4}+10 b \,d^{2} e^{3}\right) a \,b^{3}+\left(10 a \,d^{2} e^{3}+10 b \,d^{3} e^{2}\right) b^{4}\right) x^{8}}{8}+\frac{\left(a^{4} b \,e^{5}+4 \left(a \,e^{5}+5 b d \,e^{4}\right) a^{3} b +6 \left(5 a d \,e^{4}+10 b \,d^{2} e^{3}\right) a^{2} b^{2}+4 \left(10 a \,d^{2} e^{3}+10 b \,d^{3} e^{2}\right) a \,b^{3}+\left(10 a \,d^{3} e^{2}+5 b \,d^{4} e \right) b^{4}\right) x^{7}}{7}+\frac{\left(\left(a \,e^{5}+5 b d \,e^{4}\right) a^{4}+4 \left(5 a d \,e^{4}+10 b \,d^{2} e^{3}\right) a^{3} b +6 \left(10 a \,d^{2} e^{3}+10 b \,d^{3} e^{2}\right) a^{2} b^{2}+4 \left(10 a \,d^{3} e^{2}+5 b \,d^{4} e \right) a \,b^{3}+\left(5 a \,d^{4} e +b \,d^{5}\right) b^{4}\right) x^{6}}{6}+\frac{\left(a \,b^{4} d^{5}+\left(5 a d \,e^{4}+10 b \,d^{2} e^{3}\right) a^{4}+4 \left(10 a \,d^{2} e^{3}+10 b \,d^{3} e^{2}\right) a^{3} b +6 \left(10 a \,d^{3} e^{2}+5 b \,d^{4} e \right) a^{2} b^{2}+4 \left(5 a \,d^{4} e +b \,d^{5}\right) a \,b^{3}\right) x^{5}}{5}+\frac{\left(4 a^{2} b^{3} d^{5}+\left(10 a \,d^{2} e^{3}+10 b \,d^{3} e^{2}\right) a^{4}+4 \left(10 a \,d^{3} e^{2}+5 b \,d^{4} e \right) a^{3} b +6 \left(5 a \,d^{4} e +b \,d^{5}\right) a^{2} b^{2}\right) x^{4}}{4}+\frac{\left(6 a^{3} b^{2} d^{5}+\left(10 a \,d^{3} e^{2}+5 b \,d^{4} e \right) a^{4}+4 \left(5 a \,d^{4} e +b \,d^{5}\right) a^{3} b \right) x^{3}}{3}+\frac{\left(4 a^{4} b \,d^{5}+\left(5 a \,d^{4} e +b \,d^{5}\right) a^{4}\right) x^{2}}{2}"," ",0,"1/11*b^5*e^5*x^11+1/10*((a*e^5+5*b*d*e^4)*b^4+4*b^4*e^5*a)*x^10+1/9*((5*a*d*e^4+10*b*d^2*e^3)*b^4+4*(a*e^5+5*b*d*e^4)*a*b^3+6*b^3*e^5*a^2)*x^9+1/8*((10*a*d^2*e^3+10*b*d^3*e^2)*b^4+4*(5*a*d*e^4+10*b*d^2*e^3)*a*b^3+6*(a*e^5+5*b*d*e^4)*a^2*b^2+4*b^2*e^5*a^3)*x^8+1/7*((10*a*d^3*e^2+5*b*d^4*e)*b^4+4*(10*a*d^2*e^3+10*b*d^3*e^2)*a*b^3+6*(5*a*d*e^4+10*b*d^2*e^3)*a^2*b^2+4*(a*e^5+5*b*d*e^4)*a^3*b+b*e^5*a^4)*x^7+1/6*((5*a*d^4*e+b*d^5)*b^4+4*(10*a*d^3*e^2+5*b*d^4*e)*a*b^3+6*(10*a*d^2*e^3+10*b*d^3*e^2)*a^2*b^2+4*(5*a*d*e^4+10*b*d^2*e^3)*a^3*b+(a*e^5+5*b*d*e^4)*a^4)*x^6+1/5*(a*d^5*b^4+4*(5*a*d^4*e+b*d^5)*a*b^3+6*(10*a*d^3*e^2+5*b*d^4*e)*a^2*b^2+4*(10*a*d^2*e^3+10*b*d^3*e^2)*a^3*b+(5*a*d*e^4+10*b*d^2*e^3)*a^4)*x^5+1/4*(4*a^2*d^5*b^3+6*(5*a*d^4*e+b*d^5)*a^2*b^2+4*(10*a*d^3*e^2+5*b*d^4*e)*a^3*b+(10*a*d^2*e^3+10*b*d^3*e^2)*a^4)*x^4+1/3*(6*a^3*d^5*b^2+4*(5*a*d^4*e+b*d^5)*a^3*b+(10*a*d^3*e^2+5*b*d^4*e)*a^4)*x^3+1/2*(4*a^4*d^5*b+(5*a*d^4*e+b*d^5)*a^4)*x^2+a^5*d^5*x","B"
1907,1,559,109,0.041000," ","int((b*x+a)*(e*x+d)^4*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{b^{5} e^{4} x^{10}}{10}+a^{5} d^{4} x +\frac{\left(4 a \,b^{4} e^{4}+\left(a \,e^{4}+4 b d \,e^{3}\right) b^{4}\right) x^{9}}{9}+\frac{\left(6 a^{2} b^{3} e^{4}+4 \left(a \,e^{4}+4 b d \,e^{3}\right) a \,b^{3}+\left(4 a d \,e^{3}+6 b \,d^{2} e^{2}\right) b^{4}\right) x^{8}}{8}+\frac{\left(4 a^{3} b^{2} e^{4}+6 \left(a \,e^{4}+4 b d \,e^{3}\right) a^{2} b^{2}+4 \left(4 a d \,e^{3}+6 b \,d^{2} e^{2}\right) a \,b^{3}+\left(6 a \,d^{2} e^{2}+4 b \,d^{3} e \right) b^{4}\right) x^{7}}{7}+\frac{\left(a^{4} b \,e^{4}+4 \left(a \,e^{4}+4 b d \,e^{3}\right) a^{3} b +6 \left(4 a d \,e^{3}+6 b \,d^{2} e^{2}\right) a^{2} b^{2}+4 \left(6 a \,d^{2} e^{2}+4 b \,d^{3} e \right) a \,b^{3}+\left(4 a \,d^{3} e +b \,d^{4}\right) b^{4}\right) x^{6}}{6}+\frac{\left(a \,b^{4} d^{4}+\left(a \,e^{4}+4 b d \,e^{3}\right) a^{4}+4 \left(4 a d \,e^{3}+6 b \,d^{2} e^{2}\right) a^{3} b +6 \left(6 a \,d^{2} e^{2}+4 b \,d^{3} e \right) a^{2} b^{2}+4 \left(4 a \,d^{3} e +b \,d^{4}\right) a \,b^{3}\right) x^{5}}{5}+\frac{\left(4 a^{2} b^{3} d^{4}+\left(4 a d \,e^{3}+6 b \,d^{2} e^{2}\right) a^{4}+4 \left(6 a \,d^{2} e^{2}+4 b \,d^{3} e \right) a^{3} b +6 \left(4 a \,d^{3} e +b \,d^{4}\right) a^{2} b^{2}\right) x^{4}}{4}+\frac{\left(6 a^{3} b^{2} d^{4}+\left(6 a \,d^{2} e^{2}+4 b \,d^{3} e \right) a^{4}+4 \left(4 a \,d^{3} e +b \,d^{4}\right) a^{3} b \right) x^{3}}{3}+\frac{\left(4 a^{4} b \,d^{4}+\left(4 a \,d^{3} e +b \,d^{4}\right) a^{4}\right) x^{2}}{2}"," ",0,"1/10*b^5*e^4*x^10+1/9*((a*e^4+4*b*d*e^3)*b^4+4*b^4*e^4*a)*x^9+1/8*((4*a*d*e^3+6*b*d^2*e^2)*b^4+4*(a*e^4+4*b*d*e^3)*a*b^3+6*b^3*e^4*a^2)*x^8+1/7*((6*a*d^2*e^2+4*b*d^3*e)*b^4+4*(4*a*d*e^3+6*b*d^2*e^2)*a*b^3+6*(a*e^4+4*b*d*e^3)*a^2*b^2+4*b^2*e^4*a^3)*x^7+1/6*((4*a*d^3*e+b*d^4)*b^4+4*(6*a*d^2*e^2+4*b*d^3*e)*a*b^3+6*(4*a*d*e^3+6*b*d^2*e^2)*a^2*b^2+4*(a*e^4+4*b*d*e^3)*a^3*b+e^4*a^4*b)*x^6+1/5*(a*d^4*b^4+4*(4*a*d^3*e+b*d^4)*a*b^3+6*(6*a*d^2*e^2+4*b*d^3*e)*a^2*b^2+4*(4*a*d*e^3+6*b*d^2*e^2)*a^3*b+(a*e^4+4*b*d*e^3)*a^4)*x^5+1/4*(4*a^2*d^4*b^3+6*(4*a*d^3*e+b*d^4)*a^2*b^2+4*(6*a*d^2*e^2+4*b*d^3*e)*a^3*b+(4*a*d*e^3+6*b*d^2*e^2)*a^4)*x^4+1/3*(6*a^3*d^4*b^2+4*(4*a*d^3*e+b*d^4)*a^3*b+(6*a*d^2*e^2+4*b*d^3*e)*a^4)*x^3+1/2*(4*a^4*d^4*b+(4*a*d^3*e+b*d^4)*a^4)*x^2+a^5*d^4*x","B"
1908,1,430,84,0.043000," ","int((b*x+a)*(e*x+d)^3*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{b^{5} e^{3} x^{9}}{9}+a^{5} d^{3} x +\frac{\left(4 a \,b^{4} e^{3}+\left(a \,e^{3}+3 b d \,e^{2}\right) b^{4}\right) x^{8}}{8}+\frac{\left(6 a^{2} b^{3} e^{3}+4 \left(a \,e^{3}+3 b d \,e^{2}\right) a \,b^{3}+\left(3 a d \,e^{2}+3 b \,d^{2} e \right) b^{4}\right) x^{7}}{7}+\frac{\left(4 a^{3} b^{2} e^{3}+6 \left(a \,e^{3}+3 b d \,e^{2}\right) a^{2} b^{2}+4 \left(3 a d \,e^{2}+3 b \,d^{2} e \right) a \,b^{3}+\left(3 a \,d^{2} e +b \,d^{3}\right) b^{4}\right) x^{6}}{6}+\frac{\left(a^{4} b \,e^{3}+a \,b^{4} d^{3}+4 \left(a \,e^{3}+3 b d \,e^{2}\right) a^{3} b +6 \left(3 a d \,e^{2}+3 b \,d^{2} e \right) a^{2} b^{2}+4 \left(3 a \,d^{2} e +b \,d^{3}\right) a \,b^{3}\right) x^{5}}{5}+\frac{\left(4 a^{2} b^{3} d^{3}+\left(a \,e^{3}+3 b d \,e^{2}\right) a^{4}+4 \left(3 a d \,e^{2}+3 b \,d^{2} e \right) a^{3} b +6 \left(3 a \,d^{2} e +b \,d^{3}\right) a^{2} b^{2}\right) x^{4}}{4}+\frac{\left(6 a^{3} b^{2} d^{3}+\left(3 a d \,e^{2}+3 b \,d^{2} e \right) a^{4}+4 \left(3 a \,d^{2} e +b \,d^{3}\right) a^{3} b \right) x^{3}}{3}+\frac{\left(4 a^{4} b \,d^{3}+\left(3 a \,d^{2} e +b \,d^{3}\right) a^{4}\right) x^{2}}{2}"," ",0,"1/9*b^5*e^3*x^9+1/8*((a*e^3+3*b*d*e^2)*b^4+4*b^4*e^3*a)*x^8+1/7*((3*a*d*e^2+3*b*d^2*e)*b^4+4*(a*e^3+3*b*d*e^2)*a*b^3+6*b^3*e^3*a^2)*x^7+1/6*((3*a*d^2*e+b*d^3)*b^4+4*(3*a*d*e^2+3*b*d^2*e)*a*b^3+6*(a*e^3+3*b*d*e^2)*a^2*b^2+4*b^2*e^3*a^3)*x^6+1/5*(a*d^3*b^4+4*(3*a*d^2*e+b*d^3)*a*b^3+6*(3*a*d*e^2+3*b*d^2*e)*a^2*b^2+4*(a*e^3+3*b*d*e^2)*a^3*b+b*e^3*a^4)*x^5+1/4*(4*a^2*d^3*b^3+6*(3*a*d^2*e+b*d^3)*a^2*b^2+4*(3*a*d*e^2+3*b*d^2*e)*a^3*b+(a*e^3+3*b*d*e^2)*a^4)*x^4+1/3*(6*a^3*d^3*b^2+4*(3*a*d^2*e+b*d^3)*a^3*b+(3*a*d*e^2+3*b*d^2*e)*a^4)*x^3+1/2*(4*a^4*d^3*b+(3*a*d^2*e+b*d^3)*a^4)*x^2+a^5*d^3*x","B"
1909,1,301,59,0.048000," ","int((b*x+a)*(e*x+d)^2*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{b^{5} e^{2} x^{8}}{8}+a^{5} d^{2} x +\frac{\left(4 a \,b^{4} e^{2}+\left(a \,e^{2}+2 b d e \right) b^{4}\right) x^{7}}{7}+\frac{\left(6 a^{2} b^{3} e^{2}+4 \left(a \,e^{2}+2 b d e \right) a \,b^{3}+\left(2 a d e +b \,d^{2}\right) b^{4}\right) x^{6}}{6}+\frac{\left(4 a^{3} b^{2} e^{2}+a \,b^{4} d^{2}+6 \left(a \,e^{2}+2 b d e \right) a^{2} b^{2}+4 \left(2 a d e +b \,d^{2}\right) a \,b^{3}\right) x^{5}}{5}+\frac{\left(a^{4} b \,e^{2}+4 a^{2} b^{3} d^{2}+4 \left(a \,e^{2}+2 b d e \right) a^{3} b +6 \left(2 a d e +b \,d^{2}\right) a^{2} b^{2}\right) x^{4}}{4}+\frac{\left(6 a^{3} b^{2} d^{2}+\left(a \,e^{2}+2 b d e \right) a^{4}+4 \left(2 a d e +b \,d^{2}\right) a^{3} b \right) x^{3}}{3}+\frac{\left(4 a^{4} b \,d^{2}+\left(2 a d e +b \,d^{2}\right) a^{4}\right) x^{2}}{2}"," ",0,"1/8*b^5*e^2*x^8+1/7*((a*e^2+2*b*d*e)*b^4+4*b^4*e^2*a)*x^7+1/6*((2*a*d*e+b*d^2)*b^4+4*(a*e^2+2*b*d*e)*a*b^3+6*a^2*b^3*e^2)*x^6+1/5*(a*d^2*b^4+4*(2*a*d*e+b*d^2)*a*b^3+6*(a*e^2+2*b*d*e)*a^2*b^2+4*b^2*e^2*a^3)*x^5+1/4*(4*a^2*d^2*b^3+6*(2*a*d*e+b*d^2)*a^2*b^2+4*(a*e^2+2*b*d*e)*a^3*b+b*e^2*a^4)*x^4+1/3*(6*a^3*d^2*b^2+4*(2*a*d*e+b*d^2)*a^3*b+(a*e^2+2*b*d*e)*a^4)*x^3+1/2*(4*a^4*d^2*b+(2*a*d*e+b*d^2)*a^4)*x^2+a^5*d^2*x","B"
1910,1,172,34,0.040000," ","int((b*x+a)*(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{b^{5} e \,x^{7}}{7}+a^{5} d x +\frac{\left(4 a \,b^{4} e +\left(a e +b d \right) b^{4}\right) x^{6}}{6}+\frac{\left(6 a^{2} b^{3} e +a \,b^{4} d +4 \left(a e +b d \right) a \,b^{3}\right) x^{5}}{5}+\frac{\left(4 a^{3} b^{2} e +4 a^{2} b^{3} d +6 \left(a e +b d \right) a^{2} b^{2}\right) x^{4}}{4}+\frac{\left(a^{4} b e +6 a^{3} b^{2} d +4 \left(a e +b d \right) a^{3} b \right) x^{3}}{3}+\frac{\left(4 a^{4} b d +\left(a e +b d \right) a^{4}\right) x^{2}}{2}"," ",0,"1/7*b^5*e*x^7+1/6*((a*e+b*d)*b^4+4*b^4*e*a)*x^6+1/5*(a*d*b^4+4*(a*e+b*d)*a*b^3+6*b^3*e*a^2)*x^5+1/4*(4*a^2*d*b^3+6*(a*e+b*d)*a^2*b^2+4*b^2*e*a^3)*x^4+1/3*(6*a^3*d*b^2+4*(a*e+b*d)*a^3*b+b*e*a^4)*x^3+1/2*(4*a^4*d*b+(a*e+b*d)*a^4)*x^2+a^5*d*x","B"
1911,1,54,12,0.039000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{1}{6} b^{5} x^{6}+a \,b^{4} x^{5}+\frac{5}{2} a^{2} b^{3} x^{4}+\frac{10}{3} a^{3} b^{2} x^{3}+\frac{5}{2} a^{4} b \,x^{2}+a^{5} x"," ",0,"1/6*b^5*x^6+a*b^4*x^5+5/2*a^2*b^3*x^4+10/3*a^3*b^2*x^3+5/2*a^4*b*x^2+a^5*x","B"
1912,1,302,114,0.046000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d),x)","\frac{b^{5} x^{5}}{5 e}+\frac{5 a \,b^{4} x^{4}}{4 e}-\frac{b^{5} d \,x^{4}}{4 e^{2}}+\frac{10 a^{2} b^{3} x^{3}}{3 e}-\frac{5 a \,b^{4} d \,x^{3}}{3 e^{2}}+\frac{b^{5} d^{2} x^{3}}{3 e^{3}}+\frac{5 a^{3} b^{2} x^{2}}{e}-\frac{5 a^{2} b^{3} d \,x^{2}}{e^{2}}+\frac{5 a \,b^{4} d^{2} x^{2}}{2 e^{3}}-\frac{b^{5} d^{3} x^{2}}{2 e^{4}}+\frac{a^{5} \ln \left(e x +d \right)}{e}-\frac{5 a^{4} b d \ln \left(e x +d \right)}{e^{2}}+\frac{5 a^{4} b x}{e}+\frac{10 a^{3} b^{2} d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{10 a^{3} b^{2} d x}{e^{2}}-\frac{10 a^{2} b^{3} d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{10 a^{2} b^{3} d^{2} x}{e^{3}}+\frac{5 a \,b^{4} d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{5 a \,b^{4} d^{3} x}{e^{4}}-\frac{b^{5} d^{5} \ln \left(e x +d \right)}{e^{6}}+\frac{b^{5} d^{4} x}{e^{5}}"," ",0,"1/5*b^5/e*x^5+5/4*b^4/e*x^4*a-1/4*b^5/e^2*x^4*d+10/3*b^3/e*x^3*a^2-5/3*b^4/e^2*x^3*a*d+1/3*b^5/e^3*x^3*d^2+5*b^2/e*x^2*a^3-5*b^3/e^2*x^2*a^2*d+5/2*b^4/e^3*x^2*a*d^2-1/2*b^5/e^4*x^2*d^3+5*b/e*a^4*x-10*b^2/e^2*a^3*d*x+10*b^3/e^3*a^2*d^2*x-5*b^4/e^4*a*d^3*x+b^5/e^5*d^4*x+1/e*ln(e*x+d)*a^5-5/e^2*ln(e*x+d)*a^4*b*d+10/e^3*ln(e*x+d)*a^3*b^2*d^2-10/e^4*ln(e*x+d)*a^2*b^3*d^3+5/e^5*ln(e*x+d)*a*b^4*d^4-1/e^6*ln(e*x+d)*b^5*d^5","B"
1913,1,326,126,0.048000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^2,x)","\frac{b^{5} x^{4}}{4 e^{2}}+\frac{5 a \,b^{4} x^{3}}{3 e^{2}}-\frac{2 b^{5} d \,x^{3}}{3 e^{3}}+\frac{5 a^{2} b^{3} x^{2}}{e^{2}}-\frac{5 a \,b^{4} d \,x^{2}}{e^{3}}+\frac{3 b^{5} d^{2} x^{2}}{2 e^{4}}-\frac{a^{5}}{\left(e x +d \right) e}+\frac{5 a^{4} b d}{\left(e x +d \right) e^{2}}+\frac{5 a^{4} b \ln \left(e x +d \right)}{e^{2}}-\frac{10 a^{3} b^{2} d^{2}}{\left(e x +d \right) e^{3}}-\frac{20 a^{3} b^{2} d \ln \left(e x +d \right)}{e^{3}}+\frac{10 a^{3} b^{2} x}{e^{2}}+\frac{10 a^{2} b^{3} d^{3}}{\left(e x +d \right) e^{4}}+\frac{30 a^{2} b^{3} d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{20 a^{2} b^{3} d x}{e^{3}}-\frac{5 a \,b^{4} d^{4}}{\left(e x +d \right) e^{5}}-\frac{20 a \,b^{4} d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{15 a \,b^{4} d^{2} x}{e^{4}}+\frac{b^{5} d^{5}}{\left(e x +d \right) e^{6}}+\frac{5 b^{5} d^{4} \ln \left(e x +d \right)}{e^{6}}-\frac{4 b^{5} d^{3} x}{e^{5}}"," ",0,"1/4*b^5/e^2*x^4+5/3*b^4/e^2*x^3*a-2/3*b^5/e^3*x^3*d+5*b^3/e^2*x^2*a^2-5*b^4/e^3*x^2*a*d+3/2*b^5/e^4*x^2*d^2+10*b^2/e^2*a^3*x-20*b^3/e^3*a^2*d*x+15*b^4/e^4*a*d^2*x-4*b^5/e^5*d^3*x-1/e/(e*x+d)*a^5+5/e^2/(e*x+d)*a^4*b*d-10/e^3/(e*x+d)*a^3*b^2*d^2+10/e^4/(e*x+d)*a^2*b^3*d^3-5/e^5/(e*x+d)*a*b^4*d^4+1/e^6/(e*x+d)*b^5*d^5+5*b/e^2*ln(e*x+d)*a^4-20*b^2/e^3*ln(e*x+d)*a^3*d+30*b^3/e^4*ln(e*x+d)*a^2*d^2-20*b^4/e^5*ln(e*x+d)*a*d^3+5*b^5/e^6*ln(e*x+d)*d^4","B"
1914,1,346,127,0.056000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^3,x)","\frac{b^{5} x^{3}}{3 e^{3}}-\frac{a^{5}}{2 \left(e x +d \right)^{2} e}+\frac{5 a^{4} b d}{2 \left(e x +d \right)^{2} e^{2}}-\frac{5 a^{3} b^{2} d^{2}}{\left(e x +d \right)^{2} e^{3}}+\frac{5 a^{2} b^{3} d^{3}}{\left(e x +d \right)^{2} e^{4}}-\frac{5 a \,b^{4} d^{4}}{2 \left(e x +d \right)^{2} e^{5}}+\frac{5 a \,b^{4} x^{2}}{2 e^{3}}+\frac{b^{5} d^{5}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{3 b^{5} d \,x^{2}}{2 e^{4}}-\frac{5 a^{4} b}{\left(e x +d \right) e^{2}}+\frac{20 a^{3} b^{2} d}{\left(e x +d \right) e^{3}}+\frac{10 a^{3} b^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{30 a^{2} b^{3} d^{2}}{\left(e x +d \right) e^{4}}-\frac{30 a^{2} b^{3} d \ln \left(e x +d \right)}{e^{4}}+\frac{10 a^{2} b^{3} x}{e^{3}}+\frac{20 a \,b^{4} d^{3}}{\left(e x +d \right) e^{5}}+\frac{30 a \,b^{4} d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{15 a \,b^{4} d x}{e^{4}}-\frac{5 b^{5} d^{4}}{\left(e x +d \right) e^{6}}-\frac{10 b^{5} d^{3} \ln \left(e x +d \right)}{e^{6}}+\frac{6 b^{5} d^{2} x}{e^{5}}"," ",0,"1/3*b^5/e^3*x^3+5/2*b^4/e^3*x^2*a-3/2*b^5/e^4*x^2*d+10*b^3/e^3*a^2*x-15*b^4/e^4*a*d*x+6*b^5/e^5*d^2*x-5*b/e^2/(e*x+d)*a^4+20*b^2/e^3/(e*x+d)*a^3*d-30*b^3/e^4/(e*x+d)*a^2*d^2+20*b^4/e^5/(e*x+d)*a*d^3-5*b^5/e^6/(e*x+d)*d^4-1/2/e/(e*x+d)^2*a^5+5/2/e^2/(e*x+d)^2*a^4*b*d-5/e^3/(e*x+d)^2*a^3*b^2*d^2+5/e^4/(e*x+d)^2*a^2*b^3*d^3-5/2/e^5/(e*x+d)^2*a*b^4*d^4+1/2/e^6/(e*x+d)^2*b^5*d^5+10*b^2/e^3*ln(e*x+d)*a^3-30*b^3/e^4*ln(e*x+d)*a^2*d+30*b^4/e^5*ln(e*x+d)*a*d^2-10*b^5/e^6*ln(e*x+d)*d^3","B"
1915,1,361,124,0.055000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^4,x)","-\frac{a^{5}}{3 \left(e x +d \right)^{3} e}+\frac{5 a^{4} b d}{3 \left(e x +d \right)^{3} e^{2}}-\frac{10 a^{3} b^{2} d^{2}}{3 \left(e x +d \right)^{3} e^{3}}+\frac{10 a^{2} b^{3} d^{3}}{3 \left(e x +d \right)^{3} e^{4}}-\frac{5 a \,b^{4} d^{4}}{3 \left(e x +d \right)^{3} e^{5}}+\frac{b^{5} d^{5}}{3 \left(e x +d \right)^{3} e^{6}}-\frac{5 a^{4} b}{2 \left(e x +d \right)^{2} e^{2}}+\frac{10 a^{3} b^{2} d}{\left(e x +d \right)^{2} e^{3}}-\frac{15 a^{2} b^{3} d^{2}}{\left(e x +d \right)^{2} e^{4}}+\frac{10 a \,b^{4} d^{3}}{\left(e x +d \right)^{2} e^{5}}-\frac{5 b^{5} d^{4}}{2 \left(e x +d \right)^{2} e^{6}}+\frac{b^{5} x^{2}}{2 e^{4}}-\frac{10 a^{3} b^{2}}{\left(e x +d \right) e^{3}}+\frac{30 a^{2} b^{3} d}{\left(e x +d \right) e^{4}}+\frac{10 a^{2} b^{3} \ln \left(e x +d \right)}{e^{4}}-\frac{30 a \,b^{4} d^{2}}{\left(e x +d \right) e^{5}}-\frac{20 a \,b^{4} d \ln \left(e x +d \right)}{e^{5}}+\frac{5 a \,b^{4} x}{e^{4}}+\frac{10 b^{5} d^{3}}{\left(e x +d \right) e^{6}}+\frac{10 b^{5} d^{2} \ln \left(e x +d \right)}{e^{6}}-\frac{4 b^{5} d x}{e^{5}}"," ",0,"1/2*b^5*x^2/e^4+5*b^4/e^4*a*x-4*b^5/e^5*x*d-10*b^2/e^3/(e*x+d)*a^3+30*b^3/e^4/(e*x+d)*a^2*d-30*b^4/e^5/(e*x+d)*a*d^2+10*b^5/e^6/(e*x+d)*d^3-5/2*b/e^2/(e*x+d)^2*a^4+10*b^2/e^3/(e*x+d)^2*a^3*d-15*b^3/e^4/(e*x+d)^2*a^2*d^2+10*b^4/e^5/(e*x+d)^2*a*d^3-5/2*b^5/e^6/(e*x+d)^2*d^4-1/3/e/(e*x+d)^3*a^5+5/3/e^2/(e*x+d)^3*a^4*b*d-10/3/e^3/(e*x+d)^3*a^3*b^2*d^2+10/3/e^4/(e*x+d)^3*a^2*b^3*d^3-5/3/e^5/(e*x+d)^3*a*b^4*d^4+1/3/e^6/(e*x+d)^3*b^5*d^5+10*b^3/e^4*ln(e*x+d)*a^2-20*b^4/e^5*ln(e*x+d)*a*d+10*b^5/e^6*ln(e*x+d)*d^2","B"
1916,1,1165,159,0.041000," ","int((b*x+a)*(e*x+d)^6*(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{b^{7} e^{6} x^{14}}{14}+a^{7} d^{6} x +\frac{\left(6 a \,b^{6} e^{6}+\left(a \,e^{6}+6 b d \,e^{5}\right) b^{6}\right) x^{13}}{13}+\frac{\left(15 a^{2} b^{5} e^{6}+6 \left(a \,e^{6}+6 b d \,e^{5}\right) a \,b^{5}+\left(6 a d \,e^{5}+15 b \,d^{2} e^{4}\right) b^{6}\right) x^{12}}{12}+\frac{\left(20 a^{3} b^{4} e^{6}+15 \left(a \,e^{6}+6 b d \,e^{5}\right) a^{2} b^{4}+6 \left(6 a d \,e^{5}+15 b \,d^{2} e^{4}\right) a \,b^{5}+\left(15 a \,d^{2} e^{4}+20 b \,d^{3} e^{3}\right) b^{6}\right) x^{11}}{11}+\frac{\left(15 a^{4} b^{3} e^{6}+20 \left(a \,e^{6}+6 b d \,e^{5}\right) a^{3} b^{3}+15 \left(6 a d \,e^{5}+15 b \,d^{2} e^{4}\right) a^{2} b^{4}+6 \left(15 a \,d^{2} e^{4}+20 b \,d^{3} e^{3}\right) a \,b^{5}+\left(20 a \,d^{3} e^{3}+15 b \,d^{4} e^{2}\right) b^{6}\right) x^{10}}{10}+\frac{\left(6 a^{5} b^{2} e^{6}+15 \left(a \,e^{6}+6 b d \,e^{5}\right) a^{4} b^{2}+20 \left(6 a d \,e^{5}+15 b \,d^{2} e^{4}\right) a^{3} b^{3}+15 \left(15 a \,d^{2} e^{4}+20 b \,d^{3} e^{3}\right) a^{2} b^{4}+6 \left(20 a \,d^{3} e^{3}+15 b \,d^{4} e^{2}\right) a \,b^{5}+\left(15 a \,d^{4} e^{2}+6 b \,d^{5} e \right) b^{6}\right) x^{9}}{9}+\frac{\left(a^{6} b \,e^{6}+6 \left(a \,e^{6}+6 b d \,e^{5}\right) a^{5} b +15 \left(6 a d \,e^{5}+15 b \,d^{2} e^{4}\right) a^{4} b^{2}+20 \left(15 a \,d^{2} e^{4}+20 b \,d^{3} e^{3}\right) a^{3} b^{3}+15 \left(20 a \,d^{3} e^{3}+15 b \,d^{4} e^{2}\right) a^{2} b^{4}+6 \left(15 a \,d^{4} e^{2}+6 b \,d^{5} e \right) a \,b^{5}+\left(6 a \,d^{5} e +b \,d^{6}\right) b^{6}\right) x^{8}}{8}+\frac{\left(a \,b^{6} d^{6}+\left(a \,e^{6}+6 b d \,e^{5}\right) a^{6}+6 \left(6 a d \,e^{5}+15 b \,d^{2} e^{4}\right) a^{5} b +15 \left(15 a \,d^{2} e^{4}+20 b \,d^{3} e^{3}\right) a^{4} b^{2}+20 \left(20 a \,d^{3} e^{3}+15 b \,d^{4} e^{2}\right) a^{3} b^{3}+15 \left(15 a \,d^{4} e^{2}+6 b \,d^{5} e \right) a^{2} b^{4}+6 \left(6 a \,d^{5} e +b \,d^{6}\right) a \,b^{5}\right) x^{7}}{7}+\frac{\left(6 a^{2} b^{5} d^{6}+\left(6 a d \,e^{5}+15 b \,d^{2} e^{4}\right) a^{6}+6 \left(15 a \,d^{2} e^{4}+20 b \,d^{3} e^{3}\right) a^{5} b +15 \left(20 a \,d^{3} e^{3}+15 b \,d^{4} e^{2}\right) a^{4} b^{2}+20 \left(15 a \,d^{4} e^{2}+6 b \,d^{5} e \right) a^{3} b^{3}+15 \left(6 a \,d^{5} e +b \,d^{6}\right) a^{2} b^{4}\right) x^{6}}{6}+\frac{\left(15 a^{3} b^{4} d^{6}+\left(15 a \,d^{2} e^{4}+20 b \,d^{3} e^{3}\right) a^{6}+6 \left(20 a \,d^{3} e^{3}+15 b \,d^{4} e^{2}\right) a^{5} b +15 \left(15 a \,d^{4} e^{2}+6 b \,d^{5} e \right) a^{4} b^{2}+20 \left(6 a \,d^{5} e +b \,d^{6}\right) a^{3} b^{3}\right) x^{5}}{5}+\frac{\left(20 a^{4} b^{3} d^{6}+\left(20 a \,d^{3} e^{3}+15 b \,d^{4} e^{2}\right) a^{6}+6 \left(15 a \,d^{4} e^{2}+6 b \,d^{5} e \right) a^{5} b +15 \left(6 a \,d^{5} e +b \,d^{6}\right) a^{4} b^{2}\right) x^{4}}{4}+\frac{\left(15 a^{5} b^{2} d^{6}+\left(15 a \,d^{4} e^{2}+6 b \,d^{5} e \right) a^{6}+6 \left(6 a \,d^{5} e +b \,d^{6}\right) a^{5} b \right) x^{3}}{3}+\frac{\left(6 a^{6} b \,d^{6}+\left(6 a \,d^{5} e +b \,d^{6}\right) a^{6}\right) x^{2}}{2}"," ",0,"1/14*b^7*e^6*x^14+1/13*((a*e^6+6*b*d*e^5)*b^6+6*b^6*e^6*a)*x^13+1/12*((6*a*d*e^5+15*b*d^2*e^4)*b^6+6*(a*e^6+6*b*d*e^5)*a*b^5+15*b^5*e^6*a^2)*x^12+1/11*((15*a*d^2*e^4+20*b*d^3*e^3)*b^6+6*(6*a*d*e^5+15*b*d^2*e^4)*a*b^5+15*(a*e^6+6*b*d*e^5)*a^2*b^4+20*b^4*e^6*a^3)*x^11+1/10*((20*a*d^3*e^3+15*b*d^4*e^2)*b^6+6*(15*a*d^2*e^4+20*b*d^3*e^3)*a*b^5+15*(6*a*d*e^5+15*b*d^2*e^4)*a^2*b^4+20*(a*e^6+6*b*d*e^5)*a^3*b^3+15*b^3*e^6*a^4)*x^10+1/9*((15*a*d^4*e^2+6*b*d^5*e)*b^6+6*(20*a*d^3*e^3+15*b*d^4*e^2)*a*b^5+15*(15*a*d^2*e^4+20*b*d^3*e^3)*a^2*b^4+20*(6*a*d*e^5+15*b*d^2*e^4)*a^3*b^3+15*(a*e^6+6*b*d*e^5)*a^4*b^2+6*b^2*e^6*a^5)*x^9+1/8*((6*a*d^5*e+b*d^6)*b^6+6*(15*a*d^4*e^2+6*b*d^5*e)*a*b^5+15*(20*a*d^3*e^3+15*b*d^4*e^2)*a^2*b^4+20*(15*a*d^2*e^4+20*b*d^3*e^3)*a^3*b^3+15*(6*a*d*e^5+15*b*d^2*e^4)*a^4*b^2+6*(a*e^6+6*b*d*e^5)*a^5*b+b*e^6*a^6)*x^8+1/7*(a*d^6*b^6+6*(6*a*d^5*e+b*d^6)*a*b^5+15*(15*a*d^4*e^2+6*b*d^5*e)*a^2*b^4+20*(20*a*d^3*e^3+15*b*d^4*e^2)*a^3*b^3+15*(15*a*d^2*e^4+20*b*d^3*e^3)*a^4*b^2+6*(6*a*d*e^5+15*b*d^2*e^4)*a^5*b+(a*e^6+6*b*d*e^5)*a^6)*x^7+1/6*(6*a^2*d^6*b^5+15*(6*a*d^5*e+b*d^6)*a^2*b^4+20*(15*a*d^4*e^2+6*b*d^5*e)*a^3*b^3+15*(20*a*d^3*e^3+15*b*d^4*e^2)*a^4*b^2+6*(15*a*d^2*e^4+20*b*d^3*e^3)*a^5*b+(6*a*d*e^5+15*b*d^2*e^4)*a^6)*x^6+1/5*(15*a^3*d^6*b^4+20*(6*a*d^5*e+b*d^6)*a^3*b^3+15*(15*a*d^4*e^2+6*b*d^5*e)*a^4*b^2+6*(20*a*d^3*e^3+15*b*d^4*e^2)*a^5*b+(15*a*d^2*e^4+20*b*d^3*e^3)*a^6)*x^5+1/4*(20*a^4*d^6*b^3+15*(6*a*d^5*e+b*d^6)*a^4*b^2+6*(15*a*d^4*e^2+6*b*d^5*e)*a^5*b+(20*a*d^3*e^3+15*b*d^4*e^2)*a^6)*x^4+1/3*(15*a^5*d^6*b^2+6*(6*a*d^5*e+b*d^6)*a^5*b+(15*a*d^4*e^2+6*b*d^5*e)*a^6)*x^3+1/2*(6*a^6*d^6*b+(6*a*d^5*e+b*d^6)*a^6)*x^2+a^7*d^6*x","B"
1917,1,982,133,0.048000," ","int((b*x+a)*(e*x+d)^5*(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{b^{7} e^{5} x^{13}}{13}+a^{7} d^{5} x +\frac{\left(6 a \,b^{6} e^{5}+\left(a \,e^{5}+5 b d \,e^{4}\right) b^{6}\right) x^{12}}{12}+\frac{\left(15 a^{2} b^{5} e^{5}+6 \left(a \,e^{5}+5 b d \,e^{4}\right) a \,b^{5}+\left(5 a d \,e^{4}+10 b \,d^{2} e^{3}\right) b^{6}\right) x^{11}}{11}+\frac{\left(20 a^{3} b^{4} e^{5}+15 \left(a \,e^{5}+5 b d \,e^{4}\right) a^{2} b^{4}+6 \left(5 a d \,e^{4}+10 b \,d^{2} e^{3}\right) a \,b^{5}+\left(10 a \,d^{2} e^{3}+10 b \,d^{3} e^{2}\right) b^{6}\right) x^{10}}{10}+\frac{\left(15 a^{4} b^{3} e^{5}+20 \left(a \,e^{5}+5 b d \,e^{4}\right) a^{3} b^{3}+15 \left(5 a d \,e^{4}+10 b \,d^{2} e^{3}\right) a^{2} b^{4}+6 \left(10 a \,d^{2} e^{3}+10 b \,d^{3} e^{2}\right) a \,b^{5}+\left(10 a \,d^{3} e^{2}+5 b \,d^{4} e \right) b^{6}\right) x^{9}}{9}+\frac{\left(6 a^{5} b^{2} e^{5}+15 \left(a \,e^{5}+5 b d \,e^{4}\right) a^{4} b^{2}+20 \left(5 a d \,e^{4}+10 b \,d^{2} e^{3}\right) a^{3} b^{3}+15 \left(10 a \,d^{2} e^{3}+10 b \,d^{3} e^{2}\right) a^{2} b^{4}+6 \left(10 a \,d^{3} e^{2}+5 b \,d^{4} e \right) a \,b^{5}+\left(5 a \,d^{4} e +b \,d^{5}\right) b^{6}\right) x^{8}}{8}+\frac{\left(a^{6} b \,e^{5}+a \,b^{6} d^{5}+6 \left(a \,e^{5}+5 b d \,e^{4}\right) a^{5} b +15 \left(5 a d \,e^{4}+10 b \,d^{2} e^{3}\right) a^{4} b^{2}+20 \left(10 a \,d^{2} e^{3}+10 b \,d^{3} e^{2}\right) a^{3} b^{3}+15 \left(10 a \,d^{3} e^{2}+5 b \,d^{4} e \right) a^{2} b^{4}+6 \left(5 a \,d^{4} e +b \,d^{5}\right) a \,b^{5}\right) x^{7}}{7}+\frac{\left(6 a^{2} b^{5} d^{5}+\left(a \,e^{5}+5 b d \,e^{4}\right) a^{6}+6 \left(5 a d \,e^{4}+10 b \,d^{2} e^{3}\right) a^{5} b +15 \left(10 a \,d^{2} e^{3}+10 b \,d^{3} e^{2}\right) a^{4} b^{2}+20 \left(10 a \,d^{3} e^{2}+5 b \,d^{4} e \right) a^{3} b^{3}+15 \left(5 a \,d^{4} e +b \,d^{5}\right) a^{2} b^{4}\right) x^{6}}{6}+\frac{\left(15 a^{3} b^{4} d^{5}+\left(5 a d \,e^{4}+10 b \,d^{2} e^{3}\right) a^{6}+6 \left(10 a \,d^{2} e^{3}+10 b \,d^{3} e^{2}\right) a^{5} b +15 \left(10 a \,d^{3} e^{2}+5 b \,d^{4} e \right) a^{4} b^{2}+20 \left(5 a \,d^{4} e +b \,d^{5}\right) a^{3} b^{3}\right) x^{5}}{5}+\frac{\left(20 a^{4} b^{3} d^{5}+\left(10 a \,d^{2} e^{3}+10 b \,d^{3} e^{2}\right) a^{6}+6 \left(10 a \,d^{3} e^{2}+5 b \,d^{4} e \right) a^{5} b +15 \left(5 a \,d^{4} e +b \,d^{5}\right) a^{4} b^{2}\right) x^{4}}{4}+\frac{\left(15 a^{5} b^{2} d^{5}+\left(10 a \,d^{3} e^{2}+5 b \,d^{4} e \right) a^{6}+6 \left(5 a \,d^{4} e +b \,d^{5}\right) a^{5} b \right) x^{3}}{3}+\frac{\left(6 a^{6} b \,d^{5}+\left(5 a \,d^{4} e +b \,d^{5}\right) a^{6}\right) x^{2}}{2}"," ",0,"1/13*b^7*e^5*x^13+1/12*((a*e^5+5*b*d*e^4)*b^6+6*b^6*e^5*a)*x^12+1/11*((5*a*d*e^4+10*b*d^2*e^3)*b^6+6*(a*e^5+5*b*d*e^4)*a*b^5+15*b^5*e^5*a^2)*x^11+1/10*((10*a*d^2*e^3+10*b*d^3*e^2)*b^6+6*(5*a*d*e^4+10*b*d^2*e^3)*a*b^5+15*(a*e^5+5*b*d*e^4)*a^2*b^4+20*b^4*e^5*a^3)*x^10+1/9*((10*a*d^3*e^2+5*b*d^4*e)*b^6+6*(10*a*d^2*e^3+10*b*d^3*e^2)*a*b^5+15*(5*a*d*e^4+10*b*d^2*e^3)*a^2*b^4+20*(a*e^5+5*b*d*e^4)*a^3*b^3+15*b^3*e^5*a^4)*x^9+1/8*((5*a*d^4*e+b*d^5)*b^6+6*(10*a*d^3*e^2+5*b*d^4*e)*a*b^5+15*(10*a*d^2*e^3+10*b*d^3*e^2)*a^2*b^4+20*(5*a*d*e^4+10*b*d^2*e^3)*a^3*b^3+15*(a*e^5+5*b*d*e^4)*a^4*b^2+6*b^2*e^5*a^5)*x^8+1/7*(a*d^5*b^6+6*(5*a*d^4*e+b*d^5)*a*b^5+15*(10*a*d^3*e^2+5*b*d^4*e)*a^2*b^4+20*(10*a*d^2*e^3+10*b*d^3*e^2)*a^3*b^3+15*(5*a*d*e^4+10*b*d^2*e^3)*a^4*b^2+6*(a*e^5+5*b*d*e^4)*a^5*b+b*e^5*a^6)*x^7+1/6*(6*a^2*d^5*b^5+15*(5*a*d^4*e+b*d^5)*a^2*b^4+20*(10*a*d^3*e^2+5*b*d^4*e)*a^3*b^3+15*(10*a*d^2*e^3+10*b*d^3*e^2)*a^4*b^2+6*(5*a*d*e^4+10*b*d^2*e^3)*a^5*b+(a*e^5+5*b*d*e^4)*a^6)*x^6+1/5*(15*a^3*d^5*b^4+20*(5*a*d^4*e+b*d^5)*a^3*b^3+15*(10*a*d^3*e^2+5*b*d^4*e)*a^4*b^2+6*(10*a*d^2*e^3+10*b*d^3*e^2)*a^5*b+(5*a*d*e^4+10*b*d^2*e^3)*a^6)*x^5+1/4*(20*a^4*d^5*b^3+15*(5*a*d^4*e+b*d^5)*a^4*b^2+6*(10*a*d^3*e^2+5*b*d^4*e)*a^5*b+(10*a*d^2*e^3+10*b*d^3*e^2)*a^6)*x^4+1/3*(15*a^5*d^5*b^2+6*(5*a*d^4*e+b*d^5)*a^5*b+(10*a*d^3*e^2+5*b*d^4*e)*a^6)*x^3+1/2*(6*a^6*d^5*b+(5*a*d^4*e+b*d^5)*a^6)*x^2+a^7*d^5*x","B"
1918,1,799,109,0.049000," ","int((b*x+a)*(e*x+d)^4*(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{b^{7} e^{4} x^{12}}{12}+a^{7} d^{4} x +\frac{\left(6 a \,b^{6} e^{4}+\left(a \,e^{4}+4 b d \,e^{3}\right) b^{6}\right) x^{11}}{11}+\frac{\left(15 a^{2} b^{5} e^{4}+6 \left(a \,e^{4}+4 b d \,e^{3}\right) a \,b^{5}+\left(4 a d \,e^{3}+6 b \,d^{2} e^{2}\right) b^{6}\right) x^{10}}{10}+\frac{\left(20 a^{3} b^{4} e^{4}+15 \left(a \,e^{4}+4 b d \,e^{3}\right) a^{2} b^{4}+6 \left(4 a d \,e^{3}+6 b \,d^{2} e^{2}\right) a \,b^{5}+\left(6 a \,d^{2} e^{2}+4 b \,d^{3} e \right) b^{6}\right) x^{9}}{9}+\frac{\left(15 a^{4} b^{3} e^{4}+20 \left(a \,e^{4}+4 b d \,e^{3}\right) a^{3} b^{3}+15 \left(4 a d \,e^{3}+6 b \,d^{2} e^{2}\right) a^{2} b^{4}+6 \left(6 a \,d^{2} e^{2}+4 b \,d^{3} e \right) a \,b^{5}+\left(4 a \,d^{3} e +b \,d^{4}\right) b^{6}\right) x^{8}}{8}+\frac{\left(6 a^{5} b^{2} e^{4}+a \,b^{6} d^{4}+15 \left(a \,e^{4}+4 b d \,e^{3}\right) a^{4} b^{2}+20 \left(4 a d \,e^{3}+6 b \,d^{2} e^{2}\right) a^{3} b^{3}+15 \left(6 a \,d^{2} e^{2}+4 b \,d^{3} e \right) a^{2} b^{4}+6 \left(4 a \,d^{3} e +b \,d^{4}\right) a \,b^{5}\right) x^{7}}{7}+\frac{\left(a^{6} b \,e^{4}+6 a^{2} b^{5} d^{4}+6 \left(a \,e^{4}+4 b d \,e^{3}\right) a^{5} b +15 \left(4 a d \,e^{3}+6 b \,d^{2} e^{2}\right) a^{4} b^{2}+20 \left(6 a \,d^{2} e^{2}+4 b \,d^{3} e \right) a^{3} b^{3}+15 \left(4 a \,d^{3} e +b \,d^{4}\right) a^{2} b^{4}\right) x^{6}}{6}+\frac{\left(15 a^{3} b^{4} d^{4}+\left(a \,e^{4}+4 b d \,e^{3}\right) a^{6}+6 \left(4 a d \,e^{3}+6 b \,d^{2} e^{2}\right) a^{5} b +15 \left(6 a \,d^{2} e^{2}+4 b \,d^{3} e \right) a^{4} b^{2}+20 \left(4 a \,d^{3} e +b \,d^{4}\right) a^{3} b^{3}\right) x^{5}}{5}+\frac{\left(20 a^{4} b^{3} d^{4}+\left(4 a d \,e^{3}+6 b \,d^{2} e^{2}\right) a^{6}+6 \left(6 a \,d^{2} e^{2}+4 b \,d^{3} e \right) a^{5} b +15 \left(4 a \,d^{3} e +b \,d^{4}\right) a^{4} b^{2}\right) x^{4}}{4}+\frac{\left(15 a^{5} b^{2} d^{4}+\left(6 a \,d^{2} e^{2}+4 b \,d^{3} e \right) a^{6}+6 \left(4 a \,d^{3} e +b \,d^{4}\right) a^{5} b \right) x^{3}}{3}+\frac{\left(6 a^{6} b \,d^{4}+\left(4 a \,d^{3} e +b \,d^{4}\right) a^{6}\right) x^{2}}{2}"," ",0,"1/12*b^7*e^4*x^12+1/11*((a*e^4+4*b*d*e^3)*b^6+6*b^6*e^4*a)*x^11+1/10*((4*a*d*e^3+6*b*d^2*e^2)*b^6+6*(a*e^4+4*b*d*e^3)*a*b^5+15*b^5*e^4*a^2)*x^10+1/9*((6*a*d^2*e^2+4*b*d^3*e)*b^6+6*(4*a*d*e^3+6*b*d^2*e^2)*a*b^5+15*(a*e^4+4*b*d*e^3)*a^2*b^4+20*b^4*e^4*a^3)*x^9+1/8*((4*a*d^3*e+b*d^4)*b^6+6*(6*a*d^2*e^2+4*b*d^3*e)*a*b^5+15*(4*a*d*e^3+6*b*d^2*e^2)*a^2*b^4+20*(a*e^4+4*b*d*e^3)*a^3*b^3+15*b^3*e^4*a^4)*x^8+1/7*(a*d^4*b^6+6*(4*a*d^3*e+b*d^4)*a*b^5+15*(6*a*d^2*e^2+4*b*d^3*e)*a^2*b^4+20*(4*a*d*e^3+6*b*d^2*e^2)*a^3*b^3+15*(a*e^4+4*b*d*e^3)*a^4*b^2+6*b^2*e^4*a^5)*x^7+1/6*(6*a^2*d^4*b^5+15*(4*a*d^3*e+b*d^4)*a^2*b^4+20*(6*a*d^2*e^2+4*b*d^3*e)*a^3*b^3+15*(4*a*d*e^3+6*b*d^2*e^2)*a^4*b^2+6*(a*e^4+4*b*d*e^3)*a^5*b+b*e^4*a^6)*x^6+1/5*(15*a^3*d^4*b^4+20*(4*a*d^3*e+b*d^4)*a^3*b^3+15*(6*a*d^2*e^2+4*b*d^3*e)*a^4*b^2+6*(4*a*d*e^3+6*b*d^2*e^2)*a^5*b+(a*e^4+4*b*d*e^3)*a^6)*x^5+1/4*(20*a^4*d^4*b^3+15*(4*a*d^3*e+b*d^4)*a^4*b^2+6*(6*a*d^2*e^2+4*b*d^3*e)*a^5*b+(4*a*d*e^3+6*b*d^2*e^2)*a^6)*x^4+1/3*(15*a^5*d^4*b^2+6*(4*a*d^3*e+b*d^4)*a^5*b+(6*a*d^2*e^2+4*b*d^3*e)*a^6)*x^3+1/2*(6*a^6*d^4*b+(4*a*d^3*e+b*d^4)*a^6)*x^2+a^7*d^4*x","B"
1919,1,616,84,0.040000," ","int((b*x+a)*(e*x+d)^3*(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{b^{7} e^{3} x^{11}}{11}+a^{7} d^{3} x +\frac{\left(6 a \,b^{6} e^{3}+\left(a \,e^{3}+3 b d \,e^{2}\right) b^{6}\right) x^{10}}{10}+\frac{\left(15 a^{2} b^{5} e^{3}+6 \left(a \,e^{3}+3 b d \,e^{2}\right) a \,b^{5}+\left(3 a d \,e^{2}+3 b \,d^{2} e \right) b^{6}\right) x^{9}}{9}+\frac{\left(20 a^{3} b^{4} e^{3}+15 \left(a \,e^{3}+3 b d \,e^{2}\right) a^{2} b^{4}+6 \left(3 a d \,e^{2}+3 b \,d^{2} e \right) a \,b^{5}+\left(3 a \,d^{2} e +b \,d^{3}\right) b^{6}\right) x^{8}}{8}+\frac{\left(15 a^{4} b^{3} e^{3}+a \,b^{6} d^{3}+20 \left(a \,e^{3}+3 b d \,e^{2}\right) a^{3} b^{3}+15 \left(3 a d \,e^{2}+3 b \,d^{2} e \right) a^{2} b^{4}+6 \left(3 a \,d^{2} e +b \,d^{3}\right) a \,b^{5}\right) x^{7}}{7}+\frac{\left(6 a^{5} b^{2} e^{3}+6 a^{2} b^{5} d^{3}+15 \left(a \,e^{3}+3 b d \,e^{2}\right) a^{4} b^{2}+20 \left(3 a d \,e^{2}+3 b \,d^{2} e \right) a^{3} b^{3}+15 \left(3 a \,d^{2} e +b \,d^{3}\right) a^{2} b^{4}\right) x^{6}}{6}+\frac{\left(a^{6} b \,e^{3}+15 a^{3} b^{4} d^{3}+6 \left(a \,e^{3}+3 b d \,e^{2}\right) a^{5} b +15 \left(3 a d \,e^{2}+3 b \,d^{2} e \right) a^{4} b^{2}+20 \left(3 a \,d^{2} e +b \,d^{3}\right) a^{3} b^{3}\right) x^{5}}{5}+\frac{\left(20 a^{4} b^{3} d^{3}+\left(a \,e^{3}+3 b d \,e^{2}\right) a^{6}+6 \left(3 a d \,e^{2}+3 b \,d^{2} e \right) a^{5} b +15 \left(3 a \,d^{2} e +b \,d^{3}\right) a^{4} b^{2}\right) x^{4}}{4}+\frac{\left(15 a^{5} b^{2} d^{3}+\left(3 a d \,e^{2}+3 b \,d^{2} e \right) a^{6}+6 \left(3 a \,d^{2} e +b \,d^{3}\right) a^{5} b \right) x^{3}}{3}+\frac{\left(6 a^{6} b \,d^{3}+\left(3 a \,d^{2} e +b \,d^{3}\right) a^{6}\right) x^{2}}{2}"," ",0,"1/11*b^7*e^3*x^11+1/10*((a*e^3+3*b*d*e^2)*b^6+6*b^6*e^3*a)*x^10+1/9*((3*a*d*e^2+3*b*d^2*e)*b^6+6*(a*e^3+3*b*d*e^2)*a*b^5+15*b^5*e^3*a^2)*x^9+1/8*((3*a*d^2*e+b*d^3)*b^6+6*(3*a*d*e^2+3*b*d^2*e)*a*b^5+15*(a*e^3+3*b*d*e^2)*a^2*b^4+20*b^4*e^3*a^3)*x^8+1/7*(a*d^3*b^6+6*(3*a*d^2*e+b*d^3)*a*b^5+15*(3*a*d*e^2+3*b*d^2*e)*a^2*b^4+20*(a*e^3+3*b*d*e^2)*a^3*b^3+15*b^3*e^3*a^4)*x^7+1/6*(6*a^2*d^3*b^5+15*(3*a*d^2*e+b*d^3)*a^2*b^4+20*(3*a*d*e^2+3*b*d^2*e)*a^3*b^3+15*(a*e^3+3*b*d*e^2)*a^4*b^2+6*b^2*e^3*a^5)*x^6+1/5*(15*a^3*d^3*b^4+20*(3*a*d^2*e+b*d^3)*a^3*b^3+15*(3*a*d*e^2+3*b*d^2*e)*a^4*b^2+6*(a*e^3+3*b*d*e^2)*a^5*b+b*e^3*a^6)*x^5+1/4*(20*a^4*d^3*b^3+15*(3*a*d^2*e+b*d^3)*a^4*b^2+6*(3*a*d*e^2+3*b*d^2*e)*a^5*b+(a*e^3+3*b*d*e^2)*a^6)*x^4+1/3*(15*a^5*d^3*b^2+6*(3*a*d^2*e+b*d^3)*a^5*b+(3*a*d*e^2+3*b*d^2*e)*a^6)*x^3+1/2*(6*a^6*d^3*b+(3*a*d^2*e+b*d^3)*a^6)*x^2+a^7*d^3*x","B"
1920,1,433,59,0.049000," ","int((b*x+a)*(e*x+d)^2*(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{b^{7} e^{2} x^{10}}{10}+a^{7} d^{2} x +\frac{\left(6 a \,b^{6} e^{2}+\left(a \,e^{2}+2 b d e \right) b^{6}\right) x^{9}}{9}+\frac{\left(15 a^{2} b^{5} e^{2}+6 \left(a \,e^{2}+2 b d e \right) a \,b^{5}+\left(2 a d e +b \,d^{2}\right) b^{6}\right) x^{8}}{8}+\frac{\left(20 a^{3} b^{4} e^{2}+a \,b^{6} d^{2}+15 \left(a \,e^{2}+2 b d e \right) a^{2} b^{4}+6 \left(2 a d e +b \,d^{2}\right) a \,b^{5}\right) x^{7}}{7}+\frac{\left(15 a^{4} b^{3} e^{2}+6 a^{2} b^{5} d^{2}+20 \left(a \,e^{2}+2 b d e \right) a^{3} b^{3}+15 \left(2 a d e +b \,d^{2}\right) a^{2} b^{4}\right) x^{6}}{6}+\frac{\left(6 a^{5} b^{2} e^{2}+15 a^{3} b^{4} d^{2}+15 \left(a \,e^{2}+2 b d e \right) a^{4} b^{2}+20 \left(2 a d e +b \,d^{2}\right) a^{3} b^{3}\right) x^{5}}{5}+\frac{\left(a^{6} b \,e^{2}+20 a^{4} b^{3} d^{2}+6 \left(a \,e^{2}+2 b d e \right) a^{5} b +15 \left(2 a d e +b \,d^{2}\right) a^{4} b^{2}\right) x^{4}}{4}+\frac{\left(15 a^{5} b^{2} d^{2}+\left(a \,e^{2}+2 b d e \right) a^{6}+6 \left(2 a d e +b \,d^{2}\right) a^{5} b \right) x^{3}}{3}+\frac{\left(6 a^{6} b \,d^{2}+\left(2 a d e +b \,d^{2}\right) a^{6}\right) x^{2}}{2}"," ",0,"1/10*b^7*e^2*x^10+1/9*((a*e^2+2*b*d*e)*b^6+6*b^6*e^2*a)*x^9+1/8*((2*a*d*e+b*d^2)*b^6+6*(a*e^2+2*b*d*e)*a*b^5+15*b^5*e^2*a^2)*x^8+1/7*(a*d^2*b^6+6*(2*a*d*e+b*d^2)*a*b^5+15*(a*e^2+2*b*d*e)*a^2*b^4+20*b^4*e^2*a^3)*x^7+1/6*(6*a^2*d^2*b^5+15*(2*a*d*e+b*d^2)*a^2*b^4+20*(a*e^2+2*b*d*e)*a^3*b^3+15*b^3*e^2*a^4)*x^6+1/5*(15*a^3*d^2*b^4+20*(2*a*d*e+b*d^2)*a^3*b^3+15*(a*e^2+2*b*d*e)*a^4*b^2+6*b^2*e^2*a^5)*x^5+1/4*(20*a^4*d^2*b^3+15*(2*a*d*e+b*d^2)*a^4*b^2+6*(a*e^2+2*b*d*e)*a^5*b+b*e^2*a^6)*x^4+1/3*(15*a^5*d^2*b^2+6*(2*a*d*e+b*d^2)*a^5*b+(a*e^2+2*b*d*e)*a^6)*x^3+1/2*(6*a^6*d^2*b+(2*a*d*e+b*d^2)*a^6)*x^2+a^7*d^2*x","B"
1921,1,250,34,0.039000," ","int((b*x+a)*(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{b^{7} e \,x^{9}}{9}+a^{7} d x +\frac{\left(6 a \,b^{6} e +\left(a e +b d \right) b^{6}\right) x^{8}}{8}+\frac{\left(15 a^{2} b^{5} e +a \,b^{6} d +6 \left(a e +b d \right) a \,b^{5}\right) x^{7}}{7}+\frac{\left(20 a^{3} b^{4} e +6 a^{2} b^{5} d +15 \left(a e +b d \right) a^{2} b^{4}\right) x^{6}}{6}+\frac{\left(15 a^{4} b^{3} e +15 a^{3} b^{4} d +20 \left(a e +b d \right) a^{3} b^{3}\right) x^{5}}{5}+\frac{\left(6 a^{5} b^{2} e +20 a^{4} b^{3} d +15 \left(a e +b d \right) a^{4} b^{2}\right) x^{4}}{4}+\frac{\left(a^{6} b e +15 a^{5} b^{2} d +6 \left(a e +b d \right) a^{5} b \right) x^{3}}{3}+\frac{\left(6 a^{6} b d +\left(a e +b d \right) a^{6}\right) x^{2}}{2}"," ",0,"1/9*b^7*e*x^9+1/8*((a*e+b*d)*b^6+6*b^6*e*a)*x^8+1/7*(a*d*b^6+6*(a*e+b*d)*a*b^5+15*b^5*e*a^2)*x^7+1/6*(6*a^2*d*b^5+15*(a*e+b*d)*a^2*b^4+20*b^4*e*a^3)*x^6+1/5*(15*a^3*d*b^4+20*(a*e+b*d)*a^3*b^3+15*b^3*e*a^4)*x^5+1/4*(20*a^4*d*b^3+15*(a*e+b*d)*a^4*b^2+6*b^2*e*a^5)*x^4+1/3*(15*a^5*d*b^2+6*(a*e+b*d)*a^5*b+b*e*a^6)*x^3+1/2*(6*a^6*d*b+(a*e+b*d)*a^6)*x^2+a^7*d*x","B"
1922,1,76,12,0.039000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{1}{8} b^{7} x^{8}+a \,b^{6} x^{7}+\frac{7}{2} a^{2} b^{5} x^{6}+7 a^{3} b^{4} x^{5}+\frac{35}{4} a^{4} b^{3} x^{4}+7 a^{5} b^{2} x^{3}+\frac{7}{2} a^{6} b \,x^{2}+a^{7} x"," ",0,"1/8*b^7*x^8+a*b^6*x^7+7/2*a^2*b^5*x^6+7*a^3*b^4*x^5+35/4*a^4*b^3*x^4+7*a^5*b^2*x^3+7/2*a^6*b*x^2+a^7*x","B"
1923,1,539,158,0.051000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d),x)","\frac{b^{7} x^{7}}{7 e}+\frac{7 a \,b^{6} x^{6}}{6 e}-\frac{b^{7} d \,x^{6}}{6 e^{2}}+\frac{21 a^{2} b^{5} x^{5}}{5 e}-\frac{7 a \,b^{6} d \,x^{5}}{5 e^{2}}+\frac{b^{7} d^{2} x^{5}}{5 e^{3}}+\frac{35 a^{3} b^{4} x^{4}}{4 e}-\frac{21 a^{2} b^{5} d \,x^{4}}{4 e^{2}}+\frac{7 a \,b^{6} d^{2} x^{4}}{4 e^{3}}-\frac{b^{7} d^{3} x^{4}}{4 e^{4}}+\frac{35 a^{4} b^{3} x^{3}}{3 e}-\frac{35 a^{3} b^{4} d \,x^{3}}{3 e^{2}}+\frac{7 a^{2} b^{5} d^{2} x^{3}}{e^{3}}-\frac{7 a \,b^{6} d^{3} x^{3}}{3 e^{4}}+\frac{b^{7} d^{4} x^{3}}{3 e^{5}}+\frac{21 a^{5} b^{2} x^{2}}{2 e}-\frac{35 a^{4} b^{3} d \,x^{2}}{2 e^{2}}+\frac{35 a^{3} b^{4} d^{2} x^{2}}{2 e^{3}}-\frac{21 a^{2} b^{5} d^{3} x^{2}}{2 e^{4}}+\frac{7 a \,b^{6} d^{4} x^{2}}{2 e^{5}}-\frac{b^{7} d^{5} x^{2}}{2 e^{6}}+\frac{a^{7} \ln \left(e x +d \right)}{e}-\frac{7 a^{6} b d \ln \left(e x +d \right)}{e^{2}}+\frac{7 a^{6} b x}{e}+\frac{21 a^{5} b^{2} d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{21 a^{5} b^{2} d x}{e^{2}}-\frac{35 a^{4} b^{3} d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{35 a^{4} b^{3} d^{2} x}{e^{3}}+\frac{35 a^{3} b^{4} d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{35 a^{3} b^{4} d^{3} x}{e^{4}}-\frac{21 a^{2} b^{5} d^{5} \ln \left(e x +d \right)}{e^{6}}+\frac{21 a^{2} b^{5} d^{4} x}{e^{5}}+\frac{7 a \,b^{6} d^{6} \ln \left(e x +d \right)}{e^{7}}-\frac{7 a \,b^{6} d^{5} x}{e^{6}}-\frac{b^{7} d^{7} \ln \left(e x +d \right)}{e^{8}}+\frac{b^{7} d^{6} x}{e^{7}}"," ",0,"-1/4*b^7/e^4*x^4*d^3-1/2*b^7/e^6*x^2*d^5+1/5*b^7/e^3*x^5*d^2+21/5*b^5/e*x^5*a^2+35/4*b^4/e*x^4*a^3+1/3*b^7/e^5*x^3*d^4+21/2*b^2/e*x^2*a^5+35/3*b^3/e*x^3*a^4+b^7/e^7*d^6*x-1/6*b^7/e^2*x^6*d+7/6*b^6/e*x^6*a-1/e^8*ln(e*x+d)*b^7*d^7+7*b/e*a^6*x-7*b^6/e^6*a*d^5*x+35*b^3/e^3*a^4*d^2*x+1/e*ln(e*x+d)*a^7+1/7*b^7/e*x^7-35/e^4*ln(e*x+d)*a^4*b^3*d^3+7/2*b^6/e^5*x^2*a*d^4+7/4*b^6/e^3*x^4*a*d^2-21/e^6*ln(e*x+d)*a^2*b^5*d^5+21/e^3*ln(e*x+d)*a^5*b^2*d^2-35*b^4/e^4*a^3*d^3*x-7/5*b^6/e^2*x^5*a*d+35/e^5*ln(e*x+d)*a^3*b^4*d^4-7/e^2*ln(e*x+d)*a^6*b*d+7/e^7*ln(e*x+d)*a*b^6*d^6+21*b^5/e^5*a^2*d^4*x-21/2*b^5/e^4*x^2*a^2*d^3-21*b^2/e^2*a^5*d*x-35/2*b^3/e^2*x^2*a^4*d+35/2*b^4/e^3*x^2*a^3*d^2-7/3*b^6/e^4*x^3*a*d^3-35/3*b^4/e^2*x^3*a^3*d+7*b^5/e^3*x^3*a^2*d^2-21/4*b^5/e^2*x^4*a^2*d","B"
1924,1,571,176,0.056000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^2,x)","\frac{b^{7} x^{6}}{6 e^{2}}+\frac{7 a \,b^{6} x^{5}}{5 e^{2}}-\frac{2 b^{7} d \,x^{5}}{5 e^{3}}+\frac{21 a^{2} b^{5} x^{4}}{4 e^{2}}-\frac{7 a \,b^{6} d \,x^{4}}{2 e^{3}}+\frac{3 b^{7} d^{2} x^{4}}{4 e^{4}}+\frac{35 a^{3} b^{4} x^{3}}{3 e^{2}}-\frac{14 a^{2} b^{5} d \,x^{3}}{e^{3}}+\frac{7 a \,b^{6} d^{2} x^{3}}{e^{4}}-\frac{4 b^{7} d^{3} x^{3}}{3 e^{5}}+\frac{35 a^{4} b^{3} x^{2}}{2 e^{2}}-\frac{35 a^{3} b^{4} d \,x^{2}}{e^{3}}+\frac{63 a^{2} b^{5} d^{2} x^{2}}{2 e^{4}}-\frac{14 a \,b^{6} d^{3} x^{2}}{e^{5}}+\frac{5 b^{7} d^{4} x^{2}}{2 e^{6}}-\frac{a^{7}}{\left(e x +d \right) e}+\frac{7 a^{6} b d}{\left(e x +d \right) e^{2}}+\frac{7 a^{6} b \ln \left(e x +d \right)}{e^{2}}-\frac{21 a^{5} b^{2} d^{2}}{\left(e x +d \right) e^{3}}-\frac{42 a^{5} b^{2} d \ln \left(e x +d \right)}{e^{3}}+\frac{21 a^{5} b^{2} x}{e^{2}}+\frac{35 a^{4} b^{3} d^{3}}{\left(e x +d \right) e^{4}}+\frac{105 a^{4} b^{3} d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{70 a^{4} b^{3} d x}{e^{3}}-\frac{35 a^{3} b^{4} d^{4}}{\left(e x +d \right) e^{5}}-\frac{140 a^{3} b^{4} d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{105 a^{3} b^{4} d^{2} x}{e^{4}}+\frac{21 a^{2} b^{5} d^{5}}{\left(e x +d \right) e^{6}}+\frac{105 a^{2} b^{5} d^{4} \ln \left(e x +d \right)}{e^{6}}-\frac{84 a^{2} b^{5} d^{3} x}{e^{5}}-\frac{7 a \,b^{6} d^{6}}{\left(e x +d \right) e^{7}}-\frac{42 a \,b^{6} d^{5} \ln \left(e x +d \right)}{e^{7}}+\frac{35 a \,b^{6} d^{4} x}{e^{6}}+\frac{b^{7} d^{7}}{\left(e x +d \right) e^{8}}+\frac{7 b^{7} d^{6} \ln \left(e x +d \right)}{e^{8}}-\frac{6 b^{7} d^{5} x}{e^{7}}"," ",0,"7/5*b^6/e^2*x^5*a-2/5*b^7/e^3*x^5*d+7*b/e^2*ln(e*x+d)*a^6+7*b^7/e^8*ln(e*x+d)*d^6+1/e^8/(e*x+d)*b^7*d^7+35/2*b^3/e^2*x^2*a^4+5/2*b^7/e^6*x^2*d^4+21*b^2/e^2*a^5*x-6*b^7/e^7*d^5*x+21/4*b^5/e^2*x^4*a^2+3/4*b^7/e^4*x^4*d^2+35/3*b^4/e^2*x^3*a^3-4/3*b^7/e^5*x^3*d^3+1/6*b^7/e^2*x^6-1/e/(e*x+d)*a^7-42*b^2/e^3*ln(e*x+d)*a^5*d+105*b^3/e^4*ln(e*x+d)*a^4*d^2-14*b^5/e^3*x^3*a^2*d-7/e^7/(e*x+d)*a*b^6*d^6-84*b^5/e^5*a^2*d^3*x+35*b^6/e^6*a*d^4*x+7/e^2/(e*x+d)*d*a^6*b-21/e^3/(e*x+d)*a^5*b^2*d^2+35/e^4/(e*x+d)*a^4*b^3*d^3-35/e^5/(e*x+d)*a^3*b^4*d^4+21/e^6/(e*x+d)*a^2*b^5*d^5-140*b^4/e^5*ln(e*x+d)*a^3*d^3+105*b^5/e^6*ln(e*x+d)*a^2*d^4-7/2*b^6/e^3*x^4*a*d-42*b^6/e^7*ln(e*x+d)*a*d^5+7*b^6/e^4*x^3*a*d^2-35*b^4/e^3*x^2*a^3*d+63/2*b^5/e^4*x^2*a^2*d^2-14*b^6/e^5*x^2*a*d^3-70*b^3/e^3*a^4*d*x+105*b^4/e^4*a^3*d^2*x","B"
1925,1,599,177,0.059000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^3,x)","\frac{b^{7} x^{5}}{5 e^{3}}+\frac{7 a \,b^{6} x^{4}}{4 e^{3}}-\frac{3 b^{7} d \,x^{4}}{4 e^{4}}+\frac{7 a^{2} b^{5} x^{3}}{e^{3}}-\frac{7 a \,b^{6} d \,x^{3}}{e^{4}}+\frac{2 b^{7} d^{2} x^{3}}{e^{5}}-\frac{a^{7}}{2 \left(e x +d \right)^{2} e}+\frac{7 a^{6} b d}{2 \left(e x +d \right)^{2} e^{2}}-\frac{21 a^{5} b^{2} d^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{35 a^{4} b^{3} d^{3}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{35 a^{3} b^{4} d^{4}}{2 \left(e x +d \right)^{2} e^{5}}+\frac{35 a^{3} b^{4} x^{2}}{2 e^{3}}+\frac{21 a^{2} b^{5} d^{5}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{63 a^{2} b^{5} d \,x^{2}}{2 e^{4}}-\frac{7 a \,b^{6} d^{6}}{2 \left(e x +d \right)^{2} e^{7}}+\frac{21 a \,b^{6} d^{2} x^{2}}{e^{5}}+\frac{b^{7} d^{7}}{2 \left(e x +d \right)^{2} e^{8}}-\frac{5 b^{7} d^{3} x^{2}}{e^{6}}-\frac{7 a^{6} b}{\left(e x +d \right) e^{2}}+\frac{42 a^{5} b^{2} d}{\left(e x +d \right) e^{3}}+\frac{21 a^{5} b^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{105 a^{4} b^{3} d^{2}}{\left(e x +d \right) e^{4}}-\frac{105 a^{4} b^{3} d \ln \left(e x +d \right)}{e^{4}}+\frac{35 a^{4} b^{3} x}{e^{3}}+\frac{140 a^{3} b^{4} d^{3}}{\left(e x +d \right) e^{5}}+\frac{210 a^{3} b^{4} d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{105 a^{3} b^{4} d x}{e^{4}}-\frac{105 a^{2} b^{5} d^{4}}{\left(e x +d \right) e^{6}}-\frac{210 a^{2} b^{5} d^{3} \ln \left(e x +d \right)}{e^{6}}+\frac{126 a^{2} b^{5} d^{2} x}{e^{5}}+\frac{42 a \,b^{6} d^{5}}{\left(e x +d \right) e^{7}}+\frac{105 a \,b^{6} d^{4} \ln \left(e x +d \right)}{e^{7}}-\frac{70 a \,b^{6} d^{3} x}{e^{6}}-\frac{7 b^{7} d^{6}}{\left(e x +d \right) e^{8}}-\frac{21 b^{7} d^{5} \ln \left(e x +d \right)}{e^{8}}+\frac{15 b^{7} d^{4} x}{e^{7}}"," ",0,"21/2/e^6/(e*x+d)^2*a^2*b^5*d^5-7/2/e^7/(e*x+d)^2*a*b^6*d^6-7*b^6/e^4*x^3*a*d-63/2*b^5/e^4*x^2*a^2*d-105*b^3/e^4*ln(e*x+d)*a^4*d-7*b/e^2/(e*x+d)*a^6-7*b^7/e^8/(e*x+d)*d^6+7/4*b^6/e^3*x^4*a-3/4*b^7/e^4*x^4*d+7*b^5/e^3*x^3*a^2+2*b^7/e^5*x^3*d^2+35/2*b^4/e^3*x^2*a^3-5*b^7/e^6*x^2*d^3+35*b^3/e^3*a^4*x+1/2/e^8/(e*x+d)^2*b^7*d^7+21*b^2/e^3*ln(e*x+d)*a^5-21*b^7/e^8*ln(e*x+d)*d^5+15*b^7/e^7*d^4*x-1/2/e/(e*x+d)^2*a^7+1/5*b^7/e^3*x^5+21*b^6/e^5*x^2*a*d^2-105*b^4/e^4*a^3*d*x+210*b^4/e^5*ln(e*x+d)*a^3*d^2-210*b^5/e^6*ln(e*x+d)*a^2*d^3+105*b^6/e^7*ln(e*x+d)*a*d^4-21/2/e^3/(e*x+d)^2*d^2*a^5*b^2+35/2/e^4/(e*x+d)^2*a^4*b^3*d^3-35/2/e^5/(e*x+d)^2*a^3*b^4*d^4+126*b^5/e^5*a^2*d^2*x-70*b^6/e^6*a*d^3*x+42*b^2/e^3/(e*x+d)*a^5*d-105*b^3/e^4/(e*x+d)*a^4*d^2+140*b^4/e^5/(e*x+d)*a^3*d^3-105*b^5/e^6/(e*x+d)*a^2*d^4+42*b^6/e^7/(e*x+d)*a*d^5+7/2/e^2/(e*x+d)^2*d*a^6*b","B"
1926,1,622,177,0.069000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^4,x)","\frac{b^{7} x^{4}}{4 e^{4}}-\frac{a^{7}}{3 \left(e x +d \right)^{3} e}+\frac{7 a^{6} b d}{3 \left(e x +d \right)^{3} e^{2}}-\frac{7 a^{5} b^{2} d^{2}}{\left(e x +d \right)^{3} e^{3}}+\frac{35 a^{4} b^{3} d^{3}}{3 \left(e x +d \right)^{3} e^{4}}-\frac{35 a^{3} b^{4} d^{4}}{3 \left(e x +d \right)^{3} e^{5}}+\frac{7 a^{2} b^{5} d^{5}}{\left(e x +d \right)^{3} e^{6}}-\frac{7 a \,b^{6} d^{6}}{3 \left(e x +d \right)^{3} e^{7}}+\frac{7 a \,b^{6} x^{3}}{3 e^{4}}+\frac{b^{7} d^{7}}{3 \left(e x +d \right)^{3} e^{8}}-\frac{4 b^{7} d \,x^{3}}{3 e^{5}}-\frac{7 a^{6} b}{2 \left(e x +d \right)^{2} e^{2}}+\frac{21 a^{5} b^{2} d}{\left(e x +d \right)^{2} e^{3}}-\frac{105 a^{4} b^{3} d^{2}}{2 \left(e x +d \right)^{2} e^{4}}+\frac{70 a^{3} b^{4} d^{3}}{\left(e x +d \right)^{2} e^{5}}-\frac{105 a^{2} b^{5} d^{4}}{2 \left(e x +d \right)^{2} e^{6}}+\frac{21 a^{2} b^{5} x^{2}}{2 e^{4}}+\frac{21 a \,b^{6} d^{5}}{\left(e x +d \right)^{2} e^{7}}-\frac{14 a \,b^{6} d \,x^{2}}{e^{5}}-\frac{7 b^{7} d^{6}}{2 \left(e x +d \right)^{2} e^{8}}+\frac{5 b^{7} d^{2} x^{2}}{e^{6}}-\frac{21 a^{5} b^{2}}{\left(e x +d \right) e^{3}}+\frac{105 a^{4} b^{3} d}{\left(e x +d \right) e^{4}}+\frac{35 a^{4} b^{3} \ln \left(e x +d \right)}{e^{4}}-\frac{210 a^{3} b^{4} d^{2}}{\left(e x +d \right) e^{5}}-\frac{140 a^{3} b^{4} d \ln \left(e x +d \right)}{e^{5}}+\frac{35 a^{3} b^{4} x}{e^{4}}+\frac{210 a^{2} b^{5} d^{3}}{\left(e x +d \right) e^{6}}+\frac{210 a^{2} b^{5} d^{2} \ln \left(e x +d \right)}{e^{6}}-\frac{84 a^{2} b^{5} d x}{e^{5}}-\frac{105 a \,b^{6} d^{4}}{\left(e x +d \right) e^{7}}-\frac{140 a \,b^{6} d^{3} \ln \left(e x +d \right)}{e^{7}}+\frac{70 a \,b^{6} d^{2} x}{e^{6}}+\frac{21 b^{7} d^{5}}{\left(e x +d \right) e^{8}}+\frac{35 b^{7} d^{4} \ln \left(e x +d \right)}{e^{8}}-\frac{20 b^{7} d^{3} x}{e^{7}}"," ",0,"35*b^4/e^4*a^3*x-20*b^7/e^7*d^3*x-21*b^2/e^3/(e*x+d)*a^5+21*b^7/e^8/(e*x+d)*d^5+1/3/e^8/(e*x+d)^3*b^7*d^7-7/2*b/e^2/(e*x+d)^2*a^6-7/2*b^7/e^8/(e*x+d)^2*d^6+1/4*b^7/e^4*x^4-1/3/e/(e*x+d)^3*a^7+70*b^4/e^5/(e*x+d)^2*a^3*d^3+35*b^3/e^4*ln(e*x+d)*a^4+35*b^7/e^8*ln(e*x+d)*d^4+7/3*b^6/e^4*x^3*a-4/3*b^7/e^5*x^3*d+21/2*b^5/e^4*x^2*a^2+5*b^7/e^6*x^2*d^2+210*b^5/e^6/(e*x+d)*a^2*d^3-105*b^6/e^7/(e*x+d)*a*d^4+21*b^2/e^3/(e*x+d)^2*a^5*d-140*b^4/e^5*ln(e*x+d)*a^3*d+210*b^5/e^6*ln(e*x+d)*a^2*d^2-140*b^6/e^7*ln(e*x+d)*a*d^3+21*b^6/e^7/(e*x+d)^2*a*d^5+7/3/e^2/(e*x+d)^3*d*a^6*b-7/e^3/(e*x+d)^3*d^2*a^5*b^2+35/3/e^4/(e*x+d)^3*d^3*a^4*b^3-35/3/e^5/(e*x+d)^3*a^3*b^4*d^4+7/e^6/(e*x+d)^3*a^2*b^5*d^5-7/3/e^7/(e*x+d)^3*a*b^6*d^6-14*b^6/e^5*x^2*a*d-84*b^5/e^5*a^2*d*x+70*b^6/e^6*a*d^2*x+105*b^3/e^4/(e*x+d)*a^4*d-210*b^4/e^5/(e*x+d)*a^3*d^2-105/2*b^3/e^4/(e*x+d)^2*a^4*d^2-105/2*b^5/e^6/(e*x+d)^2*a^2*d^4","B"
1927,1,209,91,0.048000," ","int((b*x+a)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2),x)","\frac{e^{4} x^{4}}{4 b}-\frac{a \,e^{4} x^{3}}{3 b^{2}}+\frac{4 d \,e^{3} x^{3}}{3 b}+\frac{a^{2} e^{4} x^{2}}{2 b^{3}}-\frac{2 a d \,e^{3} x^{2}}{b^{2}}+\frac{3 d^{2} e^{2} x^{2}}{b}+\frac{a^{4} e^{4} \ln \left(b x +a \right)}{b^{5}}-\frac{4 a^{3} d \,e^{3} \ln \left(b x +a \right)}{b^{4}}-\frac{a^{3} e^{4} x}{b^{4}}+\frac{6 a^{2} d^{2} e^{2} \ln \left(b x +a \right)}{b^{3}}+\frac{4 a^{2} d \,e^{3} x}{b^{3}}-\frac{4 a \,d^{3} e \ln \left(b x +a \right)}{b^{2}}-\frac{6 a \,d^{2} e^{2} x}{b^{2}}+\frac{d^{4} \ln \left(b x +a \right)}{b}+\frac{4 d^{3} e x}{b}"," ",0,"1/4*e^4/b*x^4-1/3*e^4/b^2*x^3*a+4/3*e^3/b*x^3*d+1/2*e^4/b^3*x^2*a^2-2*e^3/b^2*x^2*a*d+3*e^2/b*x^2*d^2-e^4/b^4*a^3*x+4*e^3/b^3*a^2*d*x-6*e^2/b^2*a*d^2*x+4*e/b*d^3*x+1/b^5*ln(b*x+a)*a^4*e^4-4/b^4*ln(b*x+a)*a^3*d*e^3+6/b^3*ln(b*x+a)*a^2*d^2*e^2-4/b^2*ln(b*x+a)*a*d^3*e+1/b*ln(b*x+a)*d^4","B"
1928,1,133,69,0.047000," ","int((b*x+a)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2),x)","\frac{e^{3} x^{3}}{3 b}-\frac{a \,e^{3} x^{2}}{2 b^{2}}+\frac{3 d \,e^{2} x^{2}}{2 b}-\frac{a^{3} e^{3} \ln \left(b x +a \right)}{b^{4}}+\frac{3 a^{2} d \,e^{2} \ln \left(b x +a \right)}{b^{3}}+\frac{a^{2} e^{3} x}{b^{3}}-\frac{3 a \,d^{2} e \ln \left(b x +a \right)}{b^{2}}-\frac{3 a d \,e^{2} x}{b^{2}}+\frac{d^{3} \ln \left(b x +a \right)}{b}+\frac{3 d^{2} e x}{b}"," ",0,"1/3*e^3/b*x^3-1/2*e^3/b^2*x^2*a+3/2*e^2/b*x^2*d+e^3/b^3*a^2*x-3*e^2/b^2*a*d*x+3*e/b*d^2*x-1/b^4*ln(b*x+a)*a^3*e^3+3/b^3*ln(b*x+a)*a^2*d*e^2-3/b^2*ln(b*x+a)*a*d^2*e+1/b*ln(b*x+a)*d^3","A"
1929,1,74,47,0.047000," ","int((b*x+a)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2),x)","\frac{e^{2} x^{2}}{2 b}+\frac{a^{2} e^{2} \ln \left(b x +a \right)}{b^{3}}-\frac{2 a d e \ln \left(b x +a \right)}{b^{2}}-\frac{a \,e^{2} x}{b^{2}}+\frac{d^{2} \ln \left(b x +a \right)}{b}+\frac{2 d e x}{b}"," ",0,"1/2*e^2/b*x^2-e^2/b^2*a*x+2*e/b*x*d+1/b^3*ln(b*x+a)*a^2*e^2-2/b^2*ln(b*x+a)*a*d*e+1/b*ln(b*x+a)*d^2","A"
1930,1,32,25,0.046000," ","int((b*x+a)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2),x)","-\frac{a e \ln \left(b x +a \right)}{b^{2}}+\frac{d \ln \left(b x +a \right)}{b}+\frac{e x}{b}"," ",0,"1/b*e*x-1/b^2*ln(b*x+a)*a*e+1/b*ln(b*x+a)*d","A"
1931,1,11,10,0.040000," ","int((b*x+a)/(b^2*x^2+2*a*b*x+a^2),x)","\frac{\ln \left(b x +a \right)}{b}"," ",0,"1/b*ln(b*x+a)","A"
1932,1,37,36,0.048000," ","int((b*x+a)/(e*x+d)/(b^2*x^2+2*a*b*x+a^2),x)","-\frac{\ln \left(b x +a \right)}{a e -b d}+\frac{\ln \left(e x +d \right)}{a e -b d}"," ",0,"-1/(a*e-b*d)*ln(b*x+a)+1/(a*e-b*d)*ln(e*x+d)","A"
1933,1,58,56,0.055000," ","int((b*x+a)/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2),x)","\frac{b \ln \left(b x +a \right)}{\left(a e -b d \right)^{2}}-\frac{b \ln \left(e x +d \right)}{\left(a e -b d \right)^{2}}-\frac{1}{\left(a e -b d \right) \left(e x +d \right)}"," ",0,"b/(a*e-b*d)^2*ln(b*x+a)-1/(a*e-b*d)/(e*x+d)-b/(a*e-b*d)^2*ln(e*x+d)","A"
1934,1,81,80,0.052000," ","int((b*x+a)/(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2),x)","-\frac{b^{2} \ln \left(b x +a \right)}{\left(a e -b d \right)^{3}}+\frac{b^{2} \ln \left(e x +d \right)}{\left(a e -b d \right)^{3}}+\frac{b}{\left(a e -b d \right)^{2} \left(e x +d \right)}-\frac{1}{2 \left(a e -b d \right) \left(e x +d \right)^{2}}"," ",0,"-1/(a*e-b*d)^3*b^2*ln(b*x+a)-1/2/(a*e-b*d)/(e*x+d)^2+1/(a*e-b*d)^3*b^2*ln(e*x+d)+b/(a*e-b*d)^2/(e*x+d)","A"
1935,1,104,102,0.095000," ","int((b*x+a)/(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2),x)","\frac{b^{3} \ln \left(b x +a \right)}{\left(a e -b d \right)^{4}}-\frac{b^{3} \ln \left(e x +d \right)}{\left(a e -b d \right)^{4}}-\frac{b^{2}}{\left(a e -b d \right)^{3} \left(e x +d \right)}+\frac{b}{2 \left(a e -b d \right)^{2} \left(e x +d \right)^{2}}-\frac{1}{3 \left(a e -b d \right) \left(e x +d \right)^{3}}"," ",0,"1/(a*e-b*d)^4*b^3*ln(b*x+a)-1/3/(a*e-b*d)/(e*x+d)^3-1/(a*e-b*d)^3*b^2/(e*x+d)+1/2*b/(a*e-b*d)^2/(e*x+d)^2-1/(a*e-b*d)^4*b^3*ln(e*x+d)","A"
1936,1,245,98,0.071000," ","int((b*x+a)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{a^{4} e^{4}}{2 \left(b x +a \right)^{2} b^{5}}+\frac{2 a^{3} d \,e^{3}}{\left(b x +a \right)^{2} b^{4}}-\frac{3 a^{2} d^{2} e^{2}}{\left(b x +a \right)^{2} b^{3}}+\frac{2 a \,d^{3} e}{\left(b x +a \right)^{2} b^{2}}-\frac{d^{4}}{2 \left(b x +a \right)^{2} b}+\frac{e^{4} x^{2}}{2 b^{3}}+\frac{4 a^{3} e^{4}}{\left(b x +a \right) b^{5}}-\frac{12 a^{2} d \,e^{3}}{\left(b x +a \right) b^{4}}+\frac{6 a^{2} e^{4} \ln \left(b x +a \right)}{b^{5}}+\frac{12 a \,d^{2} e^{2}}{\left(b x +a \right) b^{3}}-\frac{12 a d \,e^{3} \ln \left(b x +a \right)}{b^{4}}-\frac{3 a \,e^{4} x}{b^{4}}-\frac{4 d^{3} e}{\left(b x +a \right) b^{2}}+\frac{6 d^{2} e^{2} \ln \left(b x +a \right)}{b^{3}}+\frac{4 d \,e^{3} x}{b^{3}}"," ",0,"1/2*e^4*x^2/b^3-3*e^4/b^4*a*x+4*e^3/b^3*x*d-1/2/b^5/(b*x+a)^2*a^4*e^4+2/b^4/(b*x+a)^2*a^3*d*e^3-3/b^3/(b*x+a)^2*a^2*d^2*e^2+2/b^2/(b*x+a)^2*a*d^3*e-1/2/b/(b*x+a)^2*d^4+6/b^5*e^4*ln(b*x+a)*a^2-12/b^4*e^3*ln(b*x+a)*a*d+6/b^3*e^2*ln(b*x+a)*d^2+4/b^5*e^4/(b*x+a)*a^3-12/b^4*e^3/(b*x+a)*a^2*d+12/b^3*e^2/(b*x+a)*a*d^2-4/b^2*e/(b*x+a)*d^3","B"
1937,1,160,76,0.057000," ","int((b*x+a)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{a^{3} e^{3}}{2 \left(b x +a \right)^{2} b^{4}}-\frac{3 a^{2} d \,e^{2}}{2 \left(b x +a \right)^{2} b^{3}}+\frac{3 a \,d^{2} e}{2 \left(b x +a \right)^{2} b^{2}}-\frac{d^{3}}{2 \left(b x +a \right)^{2} b}-\frac{3 a^{2} e^{3}}{\left(b x +a \right) b^{4}}+\frac{6 a d \,e^{2}}{\left(b x +a \right) b^{3}}-\frac{3 a \,e^{3} \ln \left(b x +a \right)}{b^{4}}-\frac{3 d^{2} e}{\left(b x +a \right) b^{2}}+\frac{3 d \,e^{2} \ln \left(b x +a \right)}{b^{3}}+\frac{e^{3} x}{b^{3}}"," ",0,"e^3*x/b^3+1/2/b^4/(b*x+a)^2*a^3*e^3-3/2/b^3/(b*x+a)^2*a^2*d*e^2+3/2/b^2/(b*x+a)^2*a*d^2*e-1/2/b/(b*x+a)^2*d^3-3/b^4*e^3*ln(b*x+a)*a+3/b^3*e^2*ln(b*x+a)*d-3/b^4*e^3/(b*x+a)*a^2+6/b^3*e^2/(b*x+a)*a*d-3/b^2*e/(b*x+a)*d^2","B"
1938,1,92,57,0.056000," ","int((b*x+a)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{a^{2} e^{2}}{2 \left(b x +a \right)^{2} b^{3}}+\frac{a d e}{\left(b x +a \right)^{2} b^{2}}-\frac{d^{2}}{2 \left(b x +a \right)^{2} b}+\frac{2 a \,e^{2}}{\left(b x +a \right) b^{3}}-\frac{2 d e}{\left(b x +a \right) b^{2}}+\frac{e^{2} \ln \left(b x +a \right)}{b^{3}}"," ",0,"-1/2/b^3/(b*x+a)^2*a^2*e^2+1/b^2/(b*x+a)^2*a*d*e-1/2/b/(b*x+a)^2*d^2+e^2*ln(b*x+a)/b^3+2/b^3*e^2/(b*x+a)*a-2/b^2*e/(b*x+a)*d","A"
1939,1,35,26,0.045000," ","int((b*x+a)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{e}{\left(b x +a \right) b^{2}}-\frac{-a e +b d}{2 \left(b x +a \right)^{2} b^{2}}"," ",0,"-1/2*(-a*e+b*d)/b^2/(b*x+a)^2-e/b^2/(b*x+a)","A"
1940,1,13,12,0.048000," ","int((b*x+a)/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{1}{2 \left(b x +a \right)^{2} b}"," ",0,"-1/2/b/(b*x+a)^2","A"
1941,1,81,80,0.052000," ","int((b*x+a)/(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{e^{2} \ln \left(b x +a \right)}{\left(a e -b d \right)^{3}}+\frac{e^{2} \ln \left(e x +d \right)}{\left(a e -b d \right)^{3}}+\frac{e}{\left(a e -b d \right)^{2} \left(b x +a \right)}+\frac{1}{2 \left(a e -b d \right) \left(b x +a \right)^{2}}"," ",0,"1/2/(a*e-b*d)/(b*x+a)^2-e^2/(a*e-b*d)^3*ln(b*x+a)+e/(a*e-b*d)^2/(b*x+a)+e^2/(a*e-b*d)^3*ln(e*x+d)","A"
1942,1,109,107,0.056000," ","int((b*x+a)/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{3 b \,e^{2} \ln \left(b x +a \right)}{\left(a e -b d \right)^{4}}-\frac{3 b \,e^{2} \ln \left(e x +d \right)}{\left(a e -b d \right)^{4}}-\frac{2 b e}{\left(a e -b d \right)^{3} \left(b x +a \right)}-\frac{e^{2}}{\left(a e -b d \right)^{3} \left(e x +d \right)}-\frac{b}{2 \left(a e -b d \right)^{2} \left(b x +a \right)^{2}}"," ",0,"-1/2*b/(a*e-b*d)^2/(b*x+a)^2+3*b/(a*e-b*d)^4*e^2*ln(b*x+a)-2*b/(a*e-b*d)^3*e/(b*x+a)-e^2/(a*e-b*d)^3/(e*x+d)-3*b/(a*e-b*d)^4*e^2*ln(e*x+d)","A"
1943,1,140,139,0.059000," ","int((b*x+a)/(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{6 b^{2} e^{2} \ln \left(b x +a \right)}{\left(a e -b d \right)^{5}}+\frac{6 b^{2} e^{2} \ln \left(e x +d \right)}{\left(a e -b d \right)^{5}}+\frac{3 b^{2} e}{\left(a e -b d \right)^{4} \left(b x +a \right)}+\frac{3 b \,e^{2}}{\left(a e -b d \right)^{4} \left(e x +d \right)}+\frac{b^{2}}{2 \left(a e -b d \right)^{3} \left(b x +a \right)^{2}}-\frac{e^{2}}{2 \left(a e -b d \right)^{3} \left(e x +d \right)^{2}}"," ",0,"1/2/(a*e-b*d)^3*b^2/(b*x+a)^2-6*b^2/(a*e-b*d)^5*e^2*ln(b*x+a)+3*b^2/(a*e-b*d)^4*e/(b*x+a)-1/2*e^2/(a*e-b*d)^3/(e*x+d)^2+6*b^2/(a*e-b*d)^5*e^2*ln(e*x+d)+3*e^2/(a*e-b*d)^4*b/(e*x+d)","A"
1944,1,165,164,0.059000," ","int((b*x+a)/(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{10 b^{3} e^{2} \ln \left(b x +a \right)}{\left(a e -b d \right)^{6}}-\frac{10 b^{3} e^{2} \ln \left(e x +d \right)}{\left(a e -b d \right)^{6}}-\frac{4 b^{3} e}{\left(a e -b d \right)^{5} \left(b x +a \right)}-\frac{6 b^{2} e^{2}}{\left(a e -b d \right)^{5} \left(e x +d \right)}-\frac{b^{3}}{2 \left(a e -b d \right)^{4} \left(b x +a \right)^{2}}+\frac{3 b \,e^{2}}{2 \left(a e -b d \right)^{4} \left(e x +d \right)^{2}}-\frac{e^{2}}{3 \left(a e -b d \right)^{3} \left(e x +d \right)^{3}}"," ",0,"-1/2/(a*e-b*d)^4*b^3/(b*x+a)^2+10*b^3/(a*e-b*d)^6*e^2*ln(b*x+a)-4*b^3/(a*e-b*d)^5*e/(b*x+a)-1/3*e^2/(a*e-b*d)^3/(e*x+d)^3-10*b^3/(a*e-b*d)^6*e^2*ln(e*x+d)-6*e^2/(a*e-b*d)^5*b^2/(e*x+d)+3/2*e^2/(a*e-b*d)^4*b/(e*x+d)^2","A"
1945,1,260,107,0.054000," ","int((b*x+a)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^3,x)","-\frac{a^{4} e^{4}}{4 \left(b x +a \right)^{4} b^{5}}+\frac{a^{3} d \,e^{3}}{\left(b x +a \right)^{4} b^{4}}-\frac{3 a^{2} d^{2} e^{2}}{2 \left(b x +a \right)^{4} b^{3}}+\frac{a \,d^{3} e}{\left(b x +a \right)^{4} b^{2}}-\frac{d^{4}}{4 \left(b x +a \right)^{4} b}+\frac{4 a^{3} e^{4}}{3 \left(b x +a \right)^{3} b^{5}}-\frac{4 a^{2} d \,e^{3}}{\left(b x +a \right)^{3} b^{4}}+\frac{4 a \,d^{2} e^{2}}{\left(b x +a \right)^{3} b^{3}}-\frac{4 d^{3} e}{3 \left(b x +a \right)^{3} b^{2}}-\frac{3 a^{2} e^{4}}{\left(b x +a \right)^{2} b^{5}}+\frac{6 a d \,e^{3}}{\left(b x +a \right)^{2} b^{4}}-\frac{3 d^{2} e^{2}}{\left(b x +a \right)^{2} b^{3}}+\frac{4 a \,e^{4}}{\left(b x +a \right) b^{5}}-\frac{4 d \,e^{3}}{\left(b x +a \right) b^{4}}+\frac{e^{4} \ln \left(b x +a \right)}{b^{5}}"," ",0,"4/3*e^4/b^5/(b*x+a)^3*a^3-4*e^3/b^4/(b*x+a)^3*a^2*d+4*e^2/b^3/(b*x+a)^3*a*d^2-4/3*e/b^2/(b*x+a)^3*d^3-3*e^4/b^5/(b*x+a)^2*a^2+6*e^3/b^4/(b*x+a)^2*a*d-3*e^2/b^3/(b*x+a)^2*d^2+e^4*ln(b*x+a)/b^5+4/b^5*e^4/(b*x+a)*a-4/b^4*e^3/(b*x+a)*d-1/4/b^5/(b*x+a)^4*a^4*e^4+1/b^4/(b*x+a)^4*a^3*d*e^3-3/2/b^3/(b*x+a)^4*a^2*d^2*e^2+1/b^2/(b*x+a)^4*a*d^3*e-1/4/b/(b*x+a)^4*d^4","B"
1946,1,122,26,0.047000," ","int((b*x+a)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^3,x)","-\frac{e^{3}}{\left(b x +a \right) b^{4}}+\frac{3 \left(a e -b d \right) e^{2}}{2 \left(b x +a \right)^{2} b^{4}}-\frac{\left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right) e}{\left(b x +a \right)^{3} b^{4}}-\frac{-e^{3} a^{3}+3 a^{2} b d \,e^{2}-3 a \,d^{2} e \,b^{2}+d^{3} b^{3}}{4 \left(b x +a \right)^{4} b^{4}}"," ",0,"-e*(a^2*e^2-2*a*b*d*e+b^2*d^2)/b^4/(b*x+a)^3+3/2*e^2*(a*e-b*d)/b^4/(b*x+a)^2-e^3/b^4/(b*x+a)-1/4*(-a^3*e^3+3*a^2*b*d*e^2-3*a*b^2*d^2*e+b^3*d^3)/b^4/(b*x+a)^4","B"
1947,1,71,59,0.056000," ","int((b*x+a)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^3,x)","-\frac{e^{2}}{2 \left(b x +a \right)^{2} b^{3}}+\frac{2 \left(a e -b d \right) e}{3 \left(b x +a \right)^{3} b^{3}}-\frac{a^{2} e^{2}-2 a b d e +b^{2} d^{2}}{4 \left(b x +a \right)^{4} b^{3}}"," ",0,"2/3*e*(a*e-b*d)/b^3/(b*x+a)^3-1/2*e^2/b^3/(b*x+a)^2-1/4*(a^2*e^2-2*a*b*d*e+b^2*d^2)/b^3/(b*x+a)^4","A"
1948,1,35,34,0.093000," ","int((b*x+a)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^3,x)","-\frac{e}{3 \left(b x +a \right)^{3} b^{2}}-\frac{-a e +b d}{4 \left(b x +a \right)^{4} b^{2}}"," ",0,"-1/3*e/b^2/(b*x+a)^3-1/4*(-a*e+b*d)/b^2/(b*x+a)^4","A"
1949,1,13,12,0.059000," ","int((b*x+a)/(b^2*x^2+2*a*b*x+a^2)^3,x)","-\frac{1}{4 \left(b x +a \right)^{4} b}"," ",0,"-1/4/b/(b*x+a)^4","A"
1950,1,125,124,0.056000," ","int((b*x+a)/(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^3,x)","-\frac{e^{4} \ln \left(b x +a \right)}{\left(a e -b d \right)^{5}}+\frac{e^{4} \ln \left(e x +d \right)}{\left(a e -b d \right)^{5}}+\frac{e^{3}}{\left(a e -b d \right)^{4} \left(b x +a \right)}+\frac{e^{2}}{2 \left(a e -b d \right)^{3} \left(b x +a \right)^{2}}+\frac{e}{3 \left(a e -b d \right)^{2} \left(b x +a \right)^{3}}+\frac{1}{4 \left(a e -b d \right) \left(b x +a \right)^{4}}"," ",0,"1/4/(a*e-b*d)/(b*x+a)^4+1/2*e^2/(a*e-b*d)^3/(b*x+a)^2+e^3/(a*e-b*d)^4/(b*x+a)-e^4/(a*e-b*d)^5*ln(b*x+a)+1/3*e/(a*e-b*d)^2/(b*x+a)^3+e^4/(a*e-b*d)^5*ln(e*x+d)","A"
1951,1,155,153,0.059000," ","int((b*x+a)/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{5 b \,e^{4} \ln \left(b x +a \right)}{\left(a e -b d \right)^{6}}-\frac{5 b \,e^{4} \ln \left(e x +d \right)}{\left(a e -b d \right)^{6}}-\frac{4 b \,e^{3}}{\left(a e -b d \right)^{5} \left(b x +a \right)}-\frac{e^{4}}{\left(a e -b d \right)^{5} \left(e x +d \right)}-\frac{3 b \,e^{2}}{2 \left(a e -b d \right)^{4} \left(b x +a \right)^{2}}-\frac{2 b e}{3 \left(a e -b d \right)^{3} \left(b x +a \right)^{3}}-\frac{b}{4 \left(a e -b d \right)^{2} \left(b x +a \right)^{4}}"," ",0,"-1/4*b/(a*e-b*d)^2/(b*x+a)^4+5*b/(a*e-b*d)^6*e^4*ln(b*x+a)-4*b/(a*e-b*d)^5*e^3/(b*x+a)-3/2*b/(a*e-b*d)^4*e^2/(b*x+a)^2-2/3*b/(a*e-b*d)^3*e/(b*x+a)^3-e^4/(a*e-b*d)^5/(e*x+d)-5*b/(a*e-b*d)^6*e^4*ln(e*x+d)","A"
1952,1,189,188,0.062000," ","int((b*x+a)/(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^3,x)","-\frac{15 b^{2} e^{4} \ln \left(b x +a \right)}{\left(a e -b d \right)^{7}}+\frac{15 b^{2} e^{4} \ln \left(e x +d \right)}{\left(a e -b d \right)^{7}}+\frac{10 b^{2} e^{3}}{\left(a e -b d \right)^{6} \left(b x +a \right)}+\frac{5 b \,e^{4}}{\left(a e -b d \right)^{6} \left(e x +d \right)}+\frac{3 b^{2} e^{2}}{\left(a e -b d \right)^{5} \left(b x +a \right)^{2}}-\frac{e^{4}}{2 \left(a e -b d \right)^{5} \left(e x +d \right)^{2}}+\frac{b^{2} e}{\left(a e -b d \right)^{4} \left(b x +a \right)^{3}}+\frac{b^{2}}{4 \left(a e -b d \right)^{3} \left(b x +a \right)^{4}}"," ",0,"1/4/(a*e-b*d)^3*b^2/(b*x+a)^4-15*b^2/(a*e-b*d)^7*e^4*ln(b*x+a)+10*b^2/(a*e-b*d)^6*e^3/(b*x+a)+3*b^2/(a*e-b*d)^5*e^2/(b*x+a)^2+b^2/(a*e-b*d)^4*e/(b*x+a)^3-1/2*e^4/(a*e-b*d)^5/(e*x+d)^2+15*b^2/(a*e-b*d)^7*e^4*ln(e*x+d)+5*e^4/(a*e-b*d)^6*b/(e*x+d)","A"
1953,1,215,214,0.061000," ","int((b*x+a)/(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{35 b^{3} e^{4} \ln \left(b x +a \right)}{\left(a e -b d \right)^{8}}-\frac{35 b^{3} e^{4} \ln \left(e x +d \right)}{\left(a e -b d \right)^{8}}-\frac{20 b^{3} e^{3}}{\left(a e -b d \right)^{7} \left(b x +a \right)}-\frac{15 b^{2} e^{4}}{\left(a e -b d \right)^{7} \left(e x +d \right)}-\frac{5 b^{3} e^{2}}{\left(a e -b d \right)^{6} \left(b x +a \right)^{2}}+\frac{5 b \,e^{4}}{2 \left(a e -b d \right)^{6} \left(e x +d \right)^{2}}-\frac{4 b^{3} e}{3 \left(a e -b d \right)^{5} \left(b x +a \right)^{3}}-\frac{e^{4}}{3 \left(a e -b d \right)^{5} \left(e x +d \right)^{3}}-\frac{b^{3}}{4 \left(a e -b d \right)^{4} \left(b x +a \right)^{4}}"," ",0,"-1/4/(a*e-b*d)^4*b^3/(b*x+a)^4+35*b^3/(a*e-b*d)^8*e^4*ln(b*x+a)-20*b^3/(a*e-b*d)^7*e^3/(b*x+a)-5*b^3/(a*e-b*d)^6*e^2/(b*x+a)^2-4/3*b^3/(a*e-b*d)^5*e/(b*x+a)^3-1/3*e^4/(a*e-b*d)^5/(e*x+d)^3-35*b^3/(a*e-b*d)^8*e^4*ln(e*x+d)-15*e^4/(a*e-b*d)^7*b^2/(e*x+d)+5/2*e^4/(a*e-b*d)^6*b/(e*x+d)^2","A"
1954,1,230,107,0.051000," ","int((b*x+a)*(e*x+d)^5*((b*x+a)^2)^(1/2),x)","\frac{\left(21 b^{2} e^{5} x^{7}+48 x^{6} a b \,e^{5}+120 x^{6} b^{2} d \,e^{4}+28 x^{5} a^{2} e^{5}+280 x^{5} a b d \,e^{4}+280 x^{5} b^{2} d^{2} e^{3}+168 a^{2} d \,e^{4} x^{4}+672 a b \,d^{2} e^{3} x^{4}+336 b^{2} d^{3} e^{2} x^{4}+420 x^{3} a^{2} d^{2} e^{3}+840 x^{3} a b \,d^{3} e^{2}+210 x^{3} b^{2} d^{4} e +560 x^{2} a^{2} d^{3} e^{2}+560 x^{2} a b \,d^{4} e +56 x^{2} b^{2} d^{5}+420 x \,a^{2} d^{4} e +168 x a b \,d^{5}+168 a^{2} d^{5}\right) \sqrt{\left(b x +a \right)^{2}}\, x}{168 b x +168 a}"," ",0,"1/168*x*(21*b^2*e^5*x^7+48*a*b*e^5*x^6+120*b^2*d*e^4*x^6+28*a^2*e^5*x^5+280*a*b*d*e^4*x^5+280*b^2*d^2*e^3*x^5+168*a^2*d*e^4*x^4+672*a*b*d^2*e^3*x^4+336*b^2*d^3*e^2*x^4+420*a^2*d^2*e^3*x^3+840*a*b*d^3*e^2*x^3+210*b^2*d^4*e*x^3+560*a^2*d^3*e^2*x^2+560*a*b*d^4*e*x^2+56*b^2*d^5*x^2+420*a^2*d^4*e*x+168*a*b*d^5*x+168*a^2*d^5)*((b*x+a)^2)^(1/2)/(b*x+a)","B"
1955,1,189,107,0.049000," ","int((b*x+a)*(e*x+d)^4*((b*x+a)^2)^(1/2),x)","\frac{\left(15 b^{2} e^{4} x^{6}+35 x^{5} a b \,e^{4}+70 x^{5} b^{2} d \,e^{3}+21 x^{4} a^{2} e^{4}+168 x^{4} a b d \,e^{3}+126 x^{4} b^{2} d^{2} e^{2}+105 a^{2} d \,e^{3} x^{3}+315 a b \,d^{2} e^{2} x^{3}+105 b^{2} d^{3} e \,x^{3}+210 x^{2} a^{2} d^{2} e^{2}+280 x^{2} a b \,d^{3} e +35 x^{2} b^{2} d^{4}+210 a^{2} d^{3} e x +105 a b \,d^{4} x +105 a^{2} d^{4}\right) \sqrt{\left(b x +a \right)^{2}}\, x}{105 b x +105 a}"," ",0,"1/105*x*(15*b^2*e^4*x^6+35*a*b*e^4*x^5+70*b^2*d*e^3*x^5+21*a^2*e^4*x^4+168*a*b*d*e^3*x^4+126*b^2*d^2*e^2*x^4+105*a^2*d*e^3*x^3+315*a*b*d^2*e^2*x^3+105*b^2*d^3*e*x^3+210*a^2*d^2*e^2*x^2+280*a*b*d^3*e*x^2+35*b^2*d^4*x^2+210*a^2*d^3*e*x+105*a*b*d^4*x+105*a^2*d^4)*((b*x+a)^2)^(1/2)/(b*x+a)","A"
1956,1,148,107,0.052000," ","int((b*x+a)*(e*x+d)^3*((b*x+a)^2)^(1/2),x)","\frac{\left(10 b^{2} e^{3} x^{5}+24 x^{4} a b \,e^{3}+36 x^{4} b^{2} d \,e^{2}+15 x^{3} a^{2} e^{3}+90 x^{3} a b d \,e^{2}+45 x^{3} b^{2} d^{2} e +60 x^{2} a^{2} d \,e^{2}+120 x^{2} a b \,d^{2} e +20 x^{2} b^{2} d^{3}+90 x \,a^{2} d^{2} e +60 x a b \,d^{3}+60 a^{2} d^{3}\right) \sqrt{\left(b x +a \right)^{2}}\, x}{60 b x +60 a}"," ",0,"1/60*x*(10*b^2*e^3*x^5+24*a*b*e^3*x^4+36*b^2*d*e^2*x^4+15*a^2*e^3*x^3+90*a*b*d*e^2*x^3+45*b^2*d^2*e*x^3+60*a^2*d*e^2*x^2+120*a*b*d^2*e*x^2+20*b^2*d^3*x^2+90*a^2*d^2*e*x+60*a*b*d^3*x+60*a^2*d^3)*((b*x+a)^2)^(1/2)/(b*x+a)","A"
1957,1,107,86,0.046000," ","int((b*x+a)*(e*x+d)^2*((b*x+a)^2)^(1/2),x)","\frac{\left(6 b^{2} e^{2} x^{4}+15 x^{3} a b \,e^{2}+15 x^{3} b^{2} d e +10 x^{2} a^{2} e^{2}+40 x^{2} a b d e +10 x^{2} b^{2} d^{2}+30 a^{2} d e x +30 a b \,d^{2} x +30 a^{2} d^{2}\right) \sqrt{\left(b x +a \right)^{2}}\, x}{30 b x +30 a}"," ",0,"1/30*x*(6*b^2*e^2*x^4+15*a*b*e^2*x^3+15*b^2*d*e*x^3+10*a^2*e^2*x^2+40*a*b*d*e*x^2+10*b^2*d^2*x^2+30*a^2*d*e*x+30*a*b*d^2*x+30*a^2*d^2)*((b*x+a)^2)^(1/2)/(b*x+a)","A"
1958,1,66,52,0.053000," ","int((b*x+a)*(e*x+d)*((b*x+a)^2)^(1/2),x)","\frac{\left(3 e \,b^{2} x^{3}+8 x^{2} a b e +4 x^{2} b^{2} d +6 a^{2} e x +12 a b d x +12 a^{2} d \right) \sqrt{\left(b x +a \right)^{2}}\, x}{12 b x +12 a}"," ",0,"1/12*x*(3*b^2*e*x^3+8*a*b*e*x^2+4*b^2*d*x^2+6*a^2*e*x+12*a*b*d*x+12*a^2*d)*((b*x+a)^2)^(1/2)/(b*x+a)","A"
1959,1,38,23,0.049000," ","int((b*x+a)*((b*x+a)^2)^(1/2),x)","\frac{\left(b^{2} x^{2}+3 a b x +3 a^{2}\right) \sqrt{\left(b x +a \right)^{2}}\, x}{3 b x +3 a}"," ",0,"1/3*x*(b^2*x^2+3*a*b*x+3*a^2)*((b*x+a)^2)^(1/2)/(b*x+a)","A"
1960,1,102,87,0.077000," ","int((b*x+a)*((b*x+a)^2)^(1/2)/(e*x+d),x)","\frac{\left(b^{2} e^{2} x^{2}+2 a^{2} e^{2} \ln \left(b e x +b d \right)-4 a b d e \ln \left(b e x +b d \right)+4 a b \,e^{2} x +2 b^{2} d^{2} \ln \left(b e x +b d \right)-2 b^{2} d e x +3 a^{2} e^{2}-2 a b d e \right) \mathrm{csgn}\left(b x +a \right)}{2 e^{3}}"," ",0,"1/2*csgn(b*x+a)*(x^2*b^2*e^2+2*ln(b*e*x+b*d)*a^2*e^2-4*ln(b*e*x+b*d)*a*b*d*e+2*ln(b*e*x+b*d)*b^2*d^2+4*x*a*b*e^2-2*x*b^2*d*e+3*a^2*e^2-2*a*b*d*e)/e^3","C"
1961,1,131,99,0.066000," ","int((b*x+a)*((b*x+a)^2)^(1/2)/(e*x+d)^2,x)","\frac{\left(2 a b \,e^{2} x \ln \left(b e x +b d \right)-2 b^{2} d e x \ln \left(b e x +b d \right)+b^{2} e^{2} x^{2}+2 a b d e \ln \left(b e x +b d \right)+a b \,e^{2} x -2 b^{2} d^{2} \ln \left(b e x +b d \right)+b^{2} d e x -a^{2} e^{2}+3 a b d e -b^{2} d^{2}\right) \mathrm{csgn}\left(b x +a \right)}{\left(e x +d \right) e^{3}}"," ",0,"csgn(b*x+a)*(2*ln(b*e*x+b*d)*x*a*b*e^2-2*ln(b*e*x+b*d)*x*b^2*d*e+b^2*e^2*x^2+2*a*b*d*e*ln(b*e*x+b*d)-2*b^2*d^2*ln(b*e*x+b*d)+a*b*e^2*x+b^2*d*e*x-a^2*e^2+3*a*b*d*e-b^2*d^2)/e^3/(e*x+d)","C"
1962,1,112,105,0.066000," ","int((b*x+a)*((b*x+a)^2)^(1/2)/(e*x+d)^3,x)","\frac{\left(2 b^{2} e^{2} x^{2} \ln \left(b e x +b d \right)+4 b^{2} d e x \ln \left(b e x +b d \right)-4 a b \,e^{2} x +2 b^{2} d^{2} \ln \left(b e x +b d \right)+4 b^{2} d e x -a^{2} e^{2}-2 a b d e +3 b^{2} d^{2}\right) \mathrm{csgn}\left(b x +a \right)}{2 \left(e x +d \right)^{2} e^{3}}"," ",0,"1/2*csgn(b*x+a)*(2*ln(b*e*x+b*d)*x^2*b^2*e^2+4*b^2*d*e*x*ln(b*e*x+b*d)+2*b^2*d^2*ln(b*e*x+b*d)-4*a*b*e^2*x+4*b^2*d*e*x-a^2*e^2-2*a*b*d*e+3*b^2*d^2)/e^3/(e*x+d)^2","C"
1963,1,76,37,0.047000," ","int((b*x+a)*((b*x+a)^2)^(1/2)/(e*x+d)^4,x)","-\frac{\left(3 b^{2} e^{2} x^{2}+3 a b \,e^{2} x +3 b^{2} d e x +a^{2} e^{2}+a b d e +b^{2} d^{2}\right) \sqrt{\left(b x +a \right)^{2}}}{3 \left(e x +d \right)^{3} \left(b x +a \right) e^{3}}"," ",0,"-1/3*(3*b^2*e^2*x^2+3*a*b*e^2*x+3*b^2*d*e*x+a^2*e^2+a*b*d*e+b^2*d^2)*((b*x+a)^2)^(1/2)/(e*x+d)^3/e^3/(b*x+a)","B"
1964,1,78,107,0.050000," ","int((b*x+a)*((b*x+a)^2)^(1/2)/(e*x+d)^5,x)","-\frac{\left(6 b^{2} e^{2} x^{2}+8 a b \,e^{2} x +4 b^{2} d e x +3 a^{2} e^{2}+2 a b d e +b^{2} d^{2}\right) \sqrt{\left(b x +a \right)^{2}}}{12 \left(e x +d \right)^{4} \left(b x +a \right) e^{3}}"," ",0,"-1/12/e^3*(6*b^2*e^2*x^2+8*a*b*e^2*x+4*b^2*d*e*x+3*a^2*e^2+2*a*b*d*e+b^2*d^2)*((b*x+a)^2)^(1/2)/(e*x+d)^4/(b*x+a)","A"
1965,1,78,107,0.043000," ","int((b*x+a)*((b*x+a)^2)^(1/2)/(e*x+d)^6,x)","-\frac{\left(10 b^{2} e^{2} x^{2}+15 a b \,e^{2} x +5 b^{2} d e x +6 a^{2} e^{2}+3 a b d e +b^{2} d^{2}\right) \sqrt{\left(b x +a \right)^{2}}}{30 \left(e x +d \right)^{5} \left(b x +a \right) e^{3}}"," ",0,"-1/30/e^3*(10*b^2*e^2*x^2+15*a*b*e^2*x+5*b^2*d*e*x+6*a^2*e^2+3*a*b*d*e+b^2*d^2)*((b*x+a)^2)^(1/2)/(e*x+d)^5/(b*x+a)","A"
1966,1,78,107,0.051000," ","int((b*x+a)*((b*x+a)^2)^(1/2)/(e*x+d)^7,x)","-\frac{\left(15 b^{2} e^{2} x^{2}+24 a b \,e^{2} x +6 b^{2} d e x +10 a^{2} e^{2}+4 a b d e +b^{2} d^{2}\right) \sqrt{\left(b x +a \right)^{2}}}{60 \left(e x +d \right)^{6} \left(b x +a \right) e^{3}}"," ",0,"-1/60/e^3*(15*b^2*e^2*x^2+24*a*b*e^2*x+6*b^2*d*e*x+10*a^2*e^2+4*a*b*d*e+b^2*d^2)*((b*x+a)^2)^(1/2)/(e*x+d)^6/(b*x+a)","A"
1967,1,78,107,0.055000," ","int((b*x+a)*((b*x+a)^2)^(1/2)/(e*x+d)^8,x)","-\frac{\left(21 b^{2} e^{2} x^{2}+35 a b \,e^{2} x +7 b^{2} d e x +15 a^{2} e^{2}+5 a b d e +b^{2} d^{2}\right) \sqrt{\left(b x +a \right)^{2}}}{105 \left(e x +d \right)^{7} \left(b x +a \right) e^{3}}"," ",0,"-1/105/e^3*(21*b^2*e^2*x^2+35*a*b*e^2*x+7*b^2*d*e*x+15*a^2*e^2+5*a*b*d*e+b^2*d^2)*((b*x+a)^2)^(1/2)/(e*x+d)^7/(b*x+a)","A"
1968,1,564,189,0.048000," ","int((b*x+a)*(e*x+d)^7*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(330 b^{4} e^{7} x^{11}+1440 x^{10} a \,b^{3} e^{7}+2520 x^{10} b^{4} d \,e^{6}+2376 x^{9} a^{2} b^{2} e^{7}+11088 x^{9} a \,b^{3} d \,e^{6}+8316 x^{9} b^{4} d^{2} e^{5}+1760 x^{8} a^{3} b \,e^{7}+18480 x^{8} a^{2} b^{2} d \,e^{6}+36960 x^{8} a \,b^{3} d^{2} e^{5}+15400 x^{8} b^{4} d^{3} e^{4}+495 x^{7} a^{4} e^{7}+13860 x^{7} a^{3} b d \,e^{6}+62370 x^{7} a^{2} b^{2} d^{2} e^{5}+69300 x^{7} a \,b^{3} d^{3} e^{4}+17325 x^{7} b^{4} d^{4} e^{3}+3960 a^{4} d \,e^{6} x^{6}+47520 a^{3} b \,d^{2} e^{5} x^{6}+118800 a^{2} b^{2} d^{3} e^{4} x^{6}+79200 a \,b^{3} d^{4} e^{3} x^{6}+11880 b^{4} d^{5} e^{2} x^{6}+13860 x^{5} a^{4} d^{2} e^{5}+92400 x^{5} a^{3} b \,d^{3} e^{4}+138600 x^{5} a^{2} b^{2} d^{4} e^{3}+55440 x^{5} a \,b^{3} d^{5} e^{2}+4620 x^{5} b^{4} d^{6} e +27720 x^{4} a^{4} d^{3} e^{4}+110880 x^{4} a^{3} b \,d^{4} e^{3}+99792 x^{4} a^{2} b^{2} d^{5} e^{2}+22176 x^{4} a \,b^{3} d^{6} e +792 x^{4} b^{4} d^{7}+34650 x^{3} a^{4} d^{4} e^{3}+83160 x^{3} a^{3} b \,d^{5} e^{2}+41580 x^{3} a^{2} b^{2} d^{6} e +3960 x^{3} a \,b^{3} d^{7}+27720 x^{2} a^{4} d^{5} e^{2}+36960 x^{2} a^{3} b \,d^{6} e +7920 x^{2} a^{2} b^{2} d^{7}+13860 x \,a^{4} d^{6} e +7920 x \,a^{3} b \,d^{7}+3960 a^{4} d^{7}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} x}{3960 \left(b x +a \right)^{3}}"," ",0,"1/3960*x*(330*b^4*e^7*x^11+1440*a*b^3*e^7*x^10+2520*b^4*d*e^6*x^10+2376*a^2*b^2*e^7*x^9+11088*a*b^3*d*e^6*x^9+8316*b^4*d^2*e^5*x^9+1760*a^3*b*e^7*x^8+18480*a^2*b^2*d*e^6*x^8+36960*a*b^3*d^2*e^5*x^8+15400*b^4*d^3*e^4*x^8+495*a^4*e^7*x^7+13860*a^3*b*d*e^6*x^7+62370*a^2*b^2*d^2*e^5*x^7+69300*a*b^3*d^3*e^4*x^7+17325*b^4*d^4*e^3*x^7+3960*a^4*d*e^6*x^6+47520*a^3*b*d^2*e^5*x^6+118800*a^2*b^2*d^3*e^4*x^6+79200*a*b^3*d^4*e^3*x^6+11880*b^4*d^5*e^2*x^6+13860*a^4*d^2*e^5*x^5+92400*a^3*b*d^3*e^4*x^5+138600*a^2*b^2*d^4*e^3*x^5+55440*a*b^3*d^5*e^2*x^5+4620*b^4*d^6*e*x^5+27720*a^4*d^3*e^4*x^4+110880*a^3*b*d^4*e^3*x^4+99792*a^2*b^2*d^5*e^2*x^4+22176*a*b^3*d^6*e*x^4+792*b^4*d^7*x^4+34650*a^4*d^4*e^3*x^3+83160*a^3*b*d^5*e^2*x^3+41580*a^2*b^2*d^6*e*x^3+3960*a*b^3*d^7*x^3+27720*a^4*d^5*e^2*x^2+36960*a^3*b*d^6*e*x^2+7920*a^2*b^2*d^7*x^2+13860*a^4*d^6*e*x+7920*a^3*b*d^7*x+3960*a^4*d^7)*((b*x+a)^2)^(3/2)/(b*x+a)^3","B"
1969,1,489,189,0.052000," ","int((b*x+a)*(e*x+d)^6*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(210 b^{4} e^{6} x^{10}+924 x^{9} a \,b^{3} e^{6}+1386 x^{9} b^{4} d \,e^{5}+1540 x^{8} a^{2} b^{2} e^{6}+6160 x^{8} a \,b^{3} d \,e^{5}+3850 x^{8} b^{4} d^{2} e^{4}+1155 x^{7} a^{3} b \,e^{6}+10395 x^{7} a^{2} b^{2} d \,e^{5}+17325 x^{7} a \,b^{3} d^{2} e^{4}+5775 x^{7} b^{4} d^{3} e^{3}+330 x^{6} a^{4} e^{6}+7920 x^{6} a^{3} b d \,e^{5}+29700 x^{6} a^{2} b^{2} d^{2} e^{4}+26400 x^{6} a \,b^{3} d^{3} e^{3}+4950 x^{6} b^{4} d^{4} e^{2}+2310 a^{4} d \,e^{5} x^{5}+23100 a^{3} b \,d^{2} e^{4} x^{5}+46200 a^{2} b^{2} d^{3} e^{3} x^{5}+23100 a \,b^{3} d^{4} e^{2} x^{5}+2310 b^{4} d^{5} e \,x^{5}+6930 x^{4} a^{4} d^{2} e^{4}+36960 x^{4} a^{3} b \,d^{3} e^{3}+41580 x^{4} a^{2} b^{2} d^{4} e^{2}+11088 x^{4} a \,b^{3} d^{5} e +462 x^{4} b^{4} d^{6}+11550 a^{4} d^{3} e^{3} x^{3}+34650 a^{3} b \,d^{4} e^{2} x^{3}+20790 a^{2} b^{2} d^{5} e \,x^{3}+2310 a \,b^{3} d^{6} x^{3}+11550 a^{4} d^{4} e^{2} x^{2}+18480 a^{3} b \,d^{5} e \,x^{2}+4620 a^{2} b^{2} d^{6} x^{2}+6930 a^{4} d^{5} e x +4620 a^{3} b \,d^{6} x +2310 a^{4} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} x}{2310 \left(b x +a \right)^{3}}"," ",0,"1/2310*x*(210*b^4*e^6*x^10+924*a*b^3*e^6*x^9+1386*b^4*d*e^5*x^9+1540*a^2*b^2*e^6*x^8+6160*a*b^3*d*e^5*x^8+3850*b^4*d^2*e^4*x^8+1155*a^3*b*e^6*x^7+10395*a^2*b^2*d*e^5*x^7+17325*a*b^3*d^2*e^4*x^7+5775*b^4*d^3*e^3*x^7+330*a^4*e^6*x^6+7920*a^3*b*d*e^5*x^6+29700*a^2*b^2*d^2*e^4*x^6+26400*a*b^3*d^3*e^3*x^6+4950*b^4*d^4*e^2*x^6+2310*a^4*d*e^5*x^5+23100*a^3*b*d^2*e^4*x^5+46200*a^2*b^2*d^3*e^3*x^5+23100*a*b^3*d^4*e^2*x^5+2310*b^4*d^5*e*x^5+6930*a^4*d^2*e^4*x^4+36960*a^3*b*d^3*e^3*x^4+41580*a^2*b^2*d^4*e^2*x^4+11088*a*b^3*d^5*e*x^4+462*b^4*d^6*x^4+11550*a^4*d^3*e^3*x^3+34650*a^3*b*d^4*e^2*x^3+20790*a^2*b^2*d^5*e*x^3+2310*a*b^3*d^6*x^3+11550*a^4*d^4*e^2*x^2+18480*a^3*b*d^5*e*x^2+4620*a^2*b^2*d^6*x^2+6930*a^4*d^5*e*x+4620*a^3*b*d^6*x+2310*a^4*d^6)*((b*x+a)^2)^(3/2)/(b*x+a)^3","B"
1970,1,414,189,0.049000," ","int((b*x+a)*(e*x+d)^5*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(126 b^{4} e^{5} x^{9}+560 x^{8} a \,b^{3} e^{5}+700 x^{8} b^{4} d \,e^{4}+945 x^{7} a^{2} b^{2} e^{5}+3150 x^{7} a \,b^{3} d \,e^{4}+1575 x^{7} b^{4} d^{2} e^{3}+720 x^{6} a^{3} b \,e^{5}+5400 x^{6} a^{2} b^{2} d \,e^{4}+7200 x^{6} a \,b^{3} d^{2} e^{3}+1800 x^{6} b^{4} d^{3} e^{2}+210 x^{5} a^{4} e^{5}+4200 x^{5} a^{3} b d \,e^{4}+12600 x^{5} a^{2} b^{2} d^{2} e^{3}+8400 x^{5} a \,b^{3} d^{3} e^{2}+1050 x^{5} b^{4} d^{4} e +1260 x^{4} a^{4} d \,e^{4}+10080 x^{4} a^{3} b \,d^{2} e^{3}+15120 x^{4} a^{2} b^{2} d^{3} e^{2}+5040 x^{4} a \,b^{3} d^{4} e +252 x^{4} b^{4} d^{5}+3150 x^{3} a^{4} d^{2} e^{3}+12600 x^{3} a^{3} b \,d^{3} e^{2}+9450 x^{3} a^{2} b^{2} d^{4} e +1260 x^{3} a \,b^{3} d^{5}+4200 x^{2} a^{4} d^{3} e^{2}+8400 x^{2} a^{3} b \,d^{4} e +2520 x^{2} a^{2} b^{2} d^{5}+3150 x \,a^{4} d^{4} e +2520 x \,a^{3} b \,d^{5}+1260 a^{4} d^{5}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} x}{1260 \left(b x +a \right)^{3}}"," ",0,"1/1260*x*(126*b^4*e^5*x^9+560*a*b^3*e^5*x^8+700*b^4*d*e^4*x^8+945*a^2*b^2*e^5*x^7+3150*a*b^3*d*e^4*x^7+1575*b^4*d^2*e^3*x^7+720*a^3*b*e^5*x^6+5400*a^2*b^2*d*e^4*x^6+7200*a*b^3*d^2*e^3*x^6+1800*b^4*d^3*e^2*x^6+210*a^4*e^5*x^5+4200*a^3*b*d*e^4*x^5+12600*a^2*b^2*d^2*e^3*x^5+8400*a*b^3*d^3*e^2*x^5+1050*b^4*d^4*e*x^5+1260*a^4*d*e^4*x^4+10080*a^3*b*d^2*e^3*x^4+15120*a^2*b^2*d^3*e^2*x^4+5040*a*b^3*d^4*e*x^4+252*b^4*d^5*x^4+3150*a^4*d^2*e^3*x^3+12600*a^3*b*d^3*e^2*x^3+9450*a^2*b^2*d^4*e*x^3+1260*a*b^3*d^5*x^3+4200*a^4*d^3*e^2*x^2+8400*a^3*b*d^4*e*x^2+2520*a^2*b^2*d^5*x^2+3150*a^4*d^4*e*x+2520*a^3*b*d^5*x+1260*a^4*d^5)*((b*x+a)^2)^(3/2)/(b*x+a)^3","B"
1971,1,339,154,0.052000," ","int((b*x+a)*(e*x+d)^4*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(70 b^{4} e^{4} x^{8}+315 x^{7} a \,b^{3} e^{4}+315 x^{7} b^{4} d \,e^{3}+540 x^{6} a^{2} b^{2} e^{4}+1440 x^{6} a \,b^{3} d \,e^{3}+540 x^{6} b^{4} d^{2} e^{2}+420 x^{5} a^{3} b \,e^{4}+2520 x^{5} a^{2} b^{2} d \,e^{3}+2520 x^{5} a \,b^{3} d^{2} e^{2}+420 x^{5} b^{4} d^{3} e +126 x^{4} a^{4} e^{4}+2016 x^{4} a^{3} b d \,e^{3}+4536 x^{4} a^{2} b^{2} d^{2} e^{2}+2016 x^{4} a \,b^{3} d^{3} e +126 x^{4} b^{4} d^{4}+630 a^{4} d \,e^{3} x^{3}+3780 a^{3} b \,d^{2} e^{2} x^{3}+3780 a^{2} b^{2} d^{3} e \,x^{3}+630 a \,b^{3} d^{4} x^{3}+1260 x^{2} a^{4} d^{2} e^{2}+3360 x^{2} a^{3} b \,d^{3} e +1260 x^{2} a^{2} b^{2} d^{4}+1260 a^{4} d^{3} e x +1260 a^{3} b \,d^{4} x +630 a^{4} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} x}{630 \left(b x +a \right)^{3}}"," ",0,"1/630*x*(70*b^4*e^4*x^8+315*a*b^3*e^4*x^7+315*b^4*d*e^3*x^7+540*a^2*b^2*e^4*x^6+1440*a*b^3*d*e^3*x^6+540*b^4*d^2*e^2*x^6+420*a^3*b*e^4*x^5+2520*a^2*b^2*d*e^3*x^5+2520*a*b^3*d^2*e^2*x^5+420*b^4*d^3*e*x^5+126*a^4*e^4*x^4+2016*a^3*b*d*e^3*x^4+4536*a^2*b^2*d^2*e^2*x^4+2016*a*b^3*d^3*e*x^4+126*b^4*d^4*x^4+630*a^4*d*e^3*x^3+3780*a^3*b*d^2*e^2*x^3+3780*a^2*b^2*d^3*e*x^3+630*a*b^3*d^4*x^3+1260*a^4*d^2*e^2*x^2+3360*a^3*b*d^3*e*x^2+1260*a^2*b^2*d^4*x^2+1260*a^4*d^3*e*x+1260*a^3*b*d^4*x+630*a^4*d^4)*((b*x+a)^2)^(3/2)/(b*x+a)^3","B"
1972,1,264,120,0.051000," ","int((b*x+a)*(e*x+d)^3*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(35 e^{3} b^{4} x^{7}+160 x^{6} e^{3} a \,b^{3}+120 x^{6} d \,e^{2} b^{4}+280 x^{5} e^{3} a^{2} b^{2}+560 x^{5} d \,e^{2} a \,b^{3}+140 x^{5} d^{2} e \,b^{4}+224 x^{4} e^{3} a^{3} b +1008 x^{4} d \,e^{2} a^{2} b^{2}+672 x^{4} d^{2} e a \,b^{3}+56 x^{4} d^{3} b^{4}+70 x^{3} e^{3} a^{4}+840 x^{3} d \,e^{2} a^{3} b +1260 x^{3} d^{2} e \,a^{2} b^{2}+280 x^{3} d^{3} a \,b^{3}+280 a^{4} d \,e^{2} x^{2}+1120 a^{3} b \,d^{2} e \,x^{2}+560 a^{2} b^{2} d^{3} x^{2}+420 x \,d^{2} e \,a^{4}+560 x \,d^{3} a^{3} b +280 d^{3} a^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} x}{280 \left(b x +a \right)^{3}}"," ",0,"1/280*x*(35*b^4*e^3*x^7+160*a*b^3*e^3*x^6+120*b^4*d*e^2*x^6+280*a^2*b^2*e^3*x^5+560*a*b^3*d*e^2*x^5+140*b^4*d^2*e*x^5+224*a^3*b*e^3*x^4+1008*a^2*b^2*d*e^2*x^4+672*a*b^3*d^2*e*x^4+56*b^4*d^3*x^4+70*a^4*e^3*x^3+840*a^3*b*d*e^2*x^3+1260*a^2*b^2*d^2*e*x^3+280*a*b^3*d^3*x^3+280*a^4*d*e^2*x^2+1120*a^3*b*d^2*e*x^2+560*a^2*b^2*d^3*x^2+420*a^4*d^2*e*x+560*a^3*b*d^3*x+280*a^4*d^3)*((b*x+a)^2)^(3/2)/(b*x+a)^3","B"
1973,1,189,86,0.048000," ","int((b*x+a)*(e*x+d)^2*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(15 e^{2} b^{4} x^{6}+70 x^{5} e^{2} a \,b^{3}+35 x^{5} b^{4} d e +126 x^{4} a^{2} b^{2} e^{2}+168 x^{4} d e a \,b^{3}+21 x^{4} b^{4} d^{2}+105 a^{3} b \,e^{2} x^{3}+315 a^{2} b^{2} d e \,x^{3}+105 a \,b^{3} d^{2} x^{3}+35 x^{2} e^{2} a^{4}+280 x^{2} d e \,a^{3} b +210 x^{2} d^{2} a^{2} b^{2}+105 a^{4} d e x +210 a^{3} b \,d^{2} x +105 d^{2} a^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} x}{105 \left(b x +a \right)^{3}}"," ",0,"1/105*x*(15*b^4*e^2*x^6+70*a*b^3*e^2*x^5+35*b^4*d*e*x^5+126*a^2*b^2*e^2*x^4+168*a*b^3*d*e*x^4+21*b^4*d^2*x^4+105*a^3*b*e^2*x^3+315*a^2*b^2*d*e*x^3+105*a*b^3*d^2*x^3+35*a^4*e^2*x^2+280*a^3*b*d*e*x^2+210*a^2*b^2*d^2*x^2+105*a^4*d*e*x+210*a^3*b*d^2*x+105*a^4*d^2)*((b*x+a)^2)^(3/2)/(b*x+a)^3","B"
1974,1,114,52,0.053000," ","int((b*x+a)*(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(5 e \,b^{4} x^{5}+24 x^{4} e a \,b^{3}+6 x^{4} d \,b^{4}+45 x^{3} e \,a^{2} b^{2}+30 x^{3} d a \,b^{3}+40 x^{2} e \,a^{3} b +60 x^{2} d \,a^{2} b^{2}+15 a^{4} e x +60 a^{3} b d x +30 d \,a^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} x}{30 \left(b x +a \right)^{3}}"," ",0,"1/30*x*(5*b^4*e*x^5+24*a*b^3*e*x^4+6*b^4*d*x^4+45*a^2*b^2*e*x^3+30*a*b^3*d*x^3+40*a^3*b*e*x^2+60*a^2*b^2*d*x^2+15*a^4*e*x+60*a^3*b*d*x+30*a^4*d)*((b*x+a)^2)^(3/2)/(b*x+a)^3","B"
1975,1,60,23,0.052000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(b^{4} x^{4}+5 a \,b^{3} x^{3}+10 a^{2} b^{2} x^{2}+10 a^{3} b x +5 a^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} x}{5 \left(b x +a \right)^{3}}"," ",0,"1/5*x*(b^4*x^4+5*a*b^3*x^3+10*a^2*b^2*x^2+10*a^3*b*x+5*a^4)*((b*x+a)^2)^(3/2)/(b*x+a)^3","B"
1976,1,225,149,0.065000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d),x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} \left(3 b^{4} e^{4} x^{4}+16 a \,b^{3} e^{4} x^{3}-4 b^{4} d \,e^{3} x^{3}+36 a^{2} b^{2} e^{4} x^{2}-24 a \,b^{3} d \,e^{3} x^{2}+6 b^{4} d^{2} e^{2} x^{2}+12 a^{4} e^{4} \ln \left(e x +d \right)-48 a^{3} b d \,e^{3} \ln \left(e x +d \right)+48 a^{3} b \,e^{4} x +72 a^{2} b^{2} d^{2} e^{2} \ln \left(e x +d \right)-72 a^{2} b^{2} d \,e^{3} x -48 a \,b^{3} d^{3} e \ln \left(e x +d \right)+48 a \,b^{3} d^{2} e^{2} x +12 b^{4} d^{4} \ln \left(e x +d \right)-12 b^{4} d^{3} e x \right)}{12 \left(b x +a \right)^{3} e^{5}}"," ",0,"1/12*((b*x+a)^2)^(3/2)*(3*x^4*b^4*e^4+16*x^3*a*b^3*e^4-4*x^3*b^4*d*e^3+36*x^2*a^2*b^2*e^4-24*x^2*a*b^3*d*e^3+6*x^2*b^4*d^2*e^2+12*ln(e*x+d)*a^4*e^4-48*ln(e*x+d)*a^3*b*d*e^3+72*ln(e*x+d)*a^2*b^2*d^2*e^2-48*ln(e*x+d)*a*b^3*d^3*e+12*ln(e*x+d)*b^4*d^4+48*x*a^3*b*e^4-72*x*a^2*b^2*d*e^3+48*x*a*b^3*d^2*e^2-12*x*b^4*d^3*e)/(b*x+a)^3/e^5","A"
1977,1,327,182,0.063000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^2,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} \left(b^{4} e^{4} x^{4}+6 a \,b^{3} e^{4} x^{3}-2 b^{4} d \,e^{3} x^{3}+12 a^{3} b \,e^{4} x \ln \left(e x +d \right)-36 a^{2} b^{2} d \,e^{3} x \ln \left(e x +d \right)+18 a^{2} b^{2} e^{4} x^{2}+36 a \,b^{3} d^{2} e^{2} x \ln \left(e x +d \right)-18 a \,b^{3} d \,e^{3} x^{2}-12 b^{4} d^{3} e x \ln \left(e x +d \right)+6 b^{4} d^{2} e^{2} x^{2}+12 a^{3} b d \,e^{3} \ln \left(e x +d \right)-36 a^{2} b^{2} d^{2} e^{2} \ln \left(e x +d \right)+18 a^{2} b^{2} d \,e^{3} x +36 a \,b^{3} d^{3} e \ln \left(e x +d \right)-24 a \,b^{3} d^{2} e^{2} x -12 b^{4} d^{4} \ln \left(e x +d \right)+9 b^{4} d^{3} e x -3 a^{4} e^{4}+12 a^{3} b d \,e^{3}-18 a^{2} b^{2} d^{2} e^{2}+12 a \,b^{3} d^{3} e -3 b^{4} d^{4}\right)}{3 \left(b x +a \right)^{3} \left(e x +d \right) e^{5}}"," ",0,"1/3*((b*x+a)^2)^(3/2)*(b^4*e^4*x^4+6*a*b^3*e^4*x^3-2*b^4*d*e^3*x^3+12*ln(e*x+d)*x*a^3*b*e^4-36*ln(e*x+d)*x*a^2*b^2*d*e^3+36*ln(e*x+d)*x*a*b^3*d^2*e^2-12*ln(e*x+d)*x*b^4*d^3*e+18*a^2*b^2*e^4*x^2-18*a*b^3*d*e^3*x^2+6*b^4*d^2*e^2*x^2+12*a^3*b*d*e^3*ln(e*x+d)-36*a^2*b^2*d^2*e^2*ln(e*x+d)+36*a*b^3*d^3*e*ln(e*x+d)-12*b^4*d^4*ln(e*x+d)+18*a^2*b^2*d*e^3*x-24*a*b^3*d^2*e^2*x+9*b^4*d^3*e*x-3*a^4*e^4+12*d*e^3*a^3*b-18*a^2*b^2*d^2*e^2+12*a*b^3*d^3*e-3*b^4*d^4)/(b*x+a)^3/e^5/(e*x+d)","A"
1978,1,350,179,0.082000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^3,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} \left(b^{4} e^{4} x^{4}+12 a^{2} b^{2} e^{4} x^{2} \ln \left(e x +d \right)-24 a \,b^{3} d \,e^{3} x^{2} \ln \left(e x +d \right)+8 a \,b^{3} e^{4} x^{3}+12 b^{4} d^{2} e^{2} x^{2} \ln \left(e x +d \right)-4 b^{4} d \,e^{3} x^{3}+24 a^{2} b^{2} d \,e^{3} x \ln \left(e x +d \right)-48 a \,b^{3} d^{2} e^{2} x \ln \left(e x +d \right)+16 a \,b^{3} d \,e^{3} x^{2}+24 b^{4} d^{3} e x \ln \left(e x +d \right)-11 b^{4} d^{2} e^{2} x^{2}-8 a^{3} b \,e^{4} x +12 a^{2} b^{2} d^{2} e^{2} \ln \left(e x +d \right)+24 a^{2} b^{2} d \,e^{3} x -24 a \,b^{3} d^{3} e \ln \left(e x +d \right)-16 a \,b^{3} d^{2} e^{2} x +12 b^{4} d^{4} \ln \left(e x +d \right)+2 b^{4} d^{3} e x -a^{4} e^{4}-4 a^{3} b d \,e^{3}+18 a^{2} b^{2} d^{2} e^{2}-20 a \,b^{3} d^{3} e +7 b^{4} d^{4}\right)}{2 \left(b x +a \right)^{3} \left(e x +d \right)^{2} e^{5}}"," ",0,"1/2*((b*x+a)^2)^(3/2)*(b^4*e^4*x^4+12*ln(e*x+d)*x^2*a^2*b^2*e^4-24*ln(e*x+d)*x^2*a*b^3*d*e^3+12*ln(e*x+d)*x^2*b^4*d^2*e^2+8*a*b^3*e^4*x^3-4*b^4*d*e^3*x^3+24*a^2*b^2*d*e^3*x*ln(e*x+d)-48*a*b^3*d^2*e^2*x*ln(e*x+d)+24*b^4*d^3*e*x*ln(e*x+d)+16*a*b^3*d*e^3*x^2-11*b^4*d^2*e^2*x^2+12*a^2*b^2*d^2*e^2*ln(e*x+d)-24*a*b^3*d^3*e*ln(e*x+d)+12*b^4*d^4*ln(e*x+d)-8*a^3*b*e^4*x+24*a^2*b^2*d*e^3*x-16*a*b^3*d^2*e^2*x+2*b^4*d^3*e*x-a^4*e^4-4*a^3*b*d*e^3+18*a^2*b^2*d^2*e^2-20*a*b^3*d^3*e+7*b^4*d^4)/(b*x+a)^3/e^5/(e*x+d)^2","A"
1979,1,330,181,0.063000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^4,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} \left(12 a \,b^{3} e^{4} x^{3} \ln \left(e x +d \right)-12 b^{4} d \,e^{3} x^{3} \ln \left(e x +d \right)+3 b^{4} e^{4} x^{4}+36 a \,b^{3} d \,e^{3} x^{2} \ln \left(e x +d \right)-36 b^{4} d^{2} e^{2} x^{2} \ln \left(e x +d \right)+9 b^{4} d \,e^{3} x^{3}-18 a^{2} b^{2} e^{4} x^{2}+36 a \,b^{3} d^{2} e^{2} x \ln \left(e x +d \right)+36 a \,b^{3} d \,e^{3} x^{2}-36 b^{4} d^{3} e x \ln \left(e x +d \right)-9 b^{4} d^{2} e^{2} x^{2}-6 a^{3} b \,e^{4} x -18 a^{2} b^{2} d \,e^{3} x +12 a \,b^{3} d^{3} e \ln \left(e x +d \right)+54 a \,b^{3} d^{2} e^{2} x -12 b^{4} d^{4} \ln \left(e x +d \right)-27 b^{4} d^{3} e x -a^{4} e^{4}-2 a^{3} b d \,e^{3}-6 a^{2} b^{2} d^{2} e^{2}+22 a \,b^{3} d^{3} e -13 b^{4} d^{4}\right)}{3 \left(b x +a \right)^{3} \left(e x +d \right)^{3} e^{5}}"," ",0,"1/3*((b*x+a)^2)^(3/2)*(12*ln(e*x+d)*x^3*a*b^3*e^4-12*ln(e*x+d)*x^3*b^4*d*e^3+3*b^4*e^4*x^4+36*a*b^3*d*e^3*x^2*ln(e*x+d)-36*b^4*d^2*e^2*x^2*ln(e*x+d)+9*b^4*d*e^3*x^3+36*a*b^3*d^2*e^2*x*ln(e*x+d)-36*b^4*d^3*e*x*ln(e*x+d)-18*a^2*b^2*e^4*x^2+36*a*b^3*d*e^3*x^2-9*b^4*d^2*e^2*x^2+12*a*b^3*d^3*e*ln(e*x+d)-12*b^4*d^4*ln(e*x+d)-6*a^3*b*e^4*x-18*a^2*b^2*d*e^3*x+54*a*b^3*d^2*e^2*x-27*b^4*d^3*e*x-a^4*e^4-2*a^3*b*d*e^3-6*a^2*b^2*d^2*e^2+22*a*b^3*d^3*e-13*b^4*d^4)/(b*x+a)^3/e^5/(e*x+d)^3","A"
1980,1,276,187,0.059000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^5,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} \left(12 b^{4} e^{4} x^{4} \ln \left(e x +d \right)+48 b^{4} d \,e^{3} x^{3} \ln \left(e x +d \right)-48 a \,b^{3} e^{4} x^{3}+72 b^{4} d^{2} e^{2} x^{2} \ln \left(e x +d \right)+48 b^{4} d \,e^{3} x^{3}-36 a^{2} b^{2} e^{4} x^{2}-72 a \,b^{3} d \,e^{3} x^{2}+48 b^{4} d^{3} e x \ln \left(e x +d \right)+108 b^{4} d^{2} e^{2} x^{2}-16 a^{3} b \,e^{4} x -24 a^{2} b^{2} d \,e^{3} x -48 a \,b^{3} d^{2} e^{2} x +12 b^{4} d^{4} \ln \left(e x +d \right)+88 b^{4} d^{3} e x -3 a^{4} e^{4}-4 a^{3} b d \,e^{3}-6 a^{2} b^{2} d^{2} e^{2}-12 a \,b^{3} d^{3} e +25 b^{4} d^{4}\right)}{12 \left(b x +a \right)^{3} \left(e x +d \right)^{4} e^{5}}"," ",0,"1/12*((b*x+a)^2)^(3/2)*(12*ln(e*x+d)*x^4*b^4*e^4+48*b^4*d*e^3*x^3*ln(e*x+d)+72*b^4*d^2*e^2*x^2*ln(e*x+d)-48*a*b^3*e^4*x^3+48*b^4*d*e^3*x^3+48*b^4*d^3*e*x*ln(e*x+d)-36*a^2*b^2*e^4*x^2-72*a*b^3*d*e^3*x^2+108*b^4*d^2*e^2*x^2+12*b^4*d^4*ln(e*x+d)-16*a^3*b*e^4*x-24*a^2*b^2*d*e^3*x-48*a*b^3*d^2*e^2*x+88*b^4*d^3*e*x-3*a^4*e^4-4*a^3*b*d*e^3-6*a^2*b^2*d^2*e^2-12*a*b^3*d^3*e+25*b^4*d^4)/(b*x+a)^3/e^5/(e*x+d)^4","A"
1981,1,197,37,0.058000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^6,x)","-\frac{\left(5 b^{4} e^{4} x^{4}+10 a \,b^{3} e^{4} x^{3}+10 b^{4} d \,e^{3} x^{3}+10 a^{2} b^{2} e^{4} x^{2}+10 a \,b^{3} d \,e^{3} x^{2}+10 b^{4} d^{2} e^{2} x^{2}+5 a^{3} b \,e^{4} x +5 a^{2} b^{2} d \,e^{3} x +5 a \,b^{3} d^{2} e^{2} x +5 b^{4} d^{3} e x +a^{4} e^{4}+a^{3} b d \,e^{3}+a^{2} b^{2} d^{2} e^{2}+a \,b^{3} d^{3} e +b^{4} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{5 \left(e x +d \right)^{5} \left(b x +a \right)^{3} e^{5}}"," ",0,"-1/5*(5*b^4*e^4*x^4+10*a*b^3*e^4*x^3+10*b^4*d*e^3*x^3+10*a^2*b^2*e^4*x^2+10*a*b^3*d*e^3*x^2+10*b^4*d^2*e^2*x^2+5*a^3*b*e^4*x+5*a^2*b^2*d*e^3*x+5*a*b^3*d^2*e^2*x+5*b^4*d^3*e*x+a^4*e^4+a^3*b*d*e^3+a^2*b^2*d^2*e^2+a*b^3*d^3*e+b^4*d^4)*((b*x+a)^2)^(3/2)/(e*x+d)^5/e^5/(b*x+a)^3","B"
1982,1,201,72,0.049000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^7,x)","-\frac{\left(15 b^{4} e^{4} x^{4}+40 a \,b^{3} e^{4} x^{3}+20 b^{4} d \,e^{3} x^{3}+45 a^{2} b^{2} e^{4} x^{2}+30 a \,b^{3} d \,e^{3} x^{2}+15 b^{4} d^{2} e^{2} x^{2}+24 a^{3} b \,e^{4} x +18 a^{2} b^{2} d \,e^{3} x +12 a \,b^{3} d^{2} e^{2} x +6 b^{4} d^{3} e x +5 a^{4} e^{4}+4 a^{3} b d \,e^{3}+3 a^{2} b^{2} d^{2} e^{2}+2 a \,b^{3} d^{3} e +b^{4} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{30 \left(e x +d \right)^{6} \left(b x +a \right)^{3} e^{5}}"," ",0,"-1/30/e^5*(15*b^4*e^4*x^4+40*a*b^3*e^4*x^3+20*b^4*d*e^3*x^3+45*a^2*b^2*e^4*x^2+30*a*b^3*d*e^3*x^2+15*b^4*d^2*e^2*x^2+24*a^3*b*e^4*x+18*a^2*b^2*d*e^3*x+12*a*b^3*d^2*e^2*x+6*b^4*d^3*e*x+5*a^4*e^4+4*a^3*b*d*e^3+3*a^2*b^2*d^2*e^2+2*a*b^3*d^3*e+b^4*d^4)*((b*x+a)^2)^(3/2)/(e*x+d)^6/(b*x+a)^3","B"
1983,1,201,110,0.053000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^8,x)","-\frac{\left(35 b^{4} e^{4} x^{4}+105 a \,b^{3} e^{4} x^{3}+35 b^{4} d \,e^{3} x^{3}+126 a^{2} b^{2} e^{4} x^{2}+63 a \,b^{3} d \,e^{3} x^{2}+21 b^{4} d^{2} e^{2} x^{2}+70 a^{3} b \,e^{4} x +42 a^{2} b^{2} d \,e^{3} x +21 a \,b^{3} d^{2} e^{2} x +7 b^{4} d^{3} e x +15 a^{4} e^{4}+10 a^{3} b d \,e^{3}+6 a^{2} b^{2} d^{2} e^{2}+3 a \,b^{3} d^{3} e +b^{4} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{105 \left(e x +d \right)^{7} \left(b x +a \right)^{3} e^{5}}"," ",0,"-1/105/e^5*(35*b^4*e^4*x^4+105*a*b^3*e^4*x^3+35*b^4*d*e^3*x^3+126*a^2*b^2*e^4*x^2+63*a*b^3*d*e^3*x^2+21*b^4*d^2*e^2*x^2+70*a^3*b*e^4*x+42*a^2*b^2*d*e^3*x+21*a*b^3*d^2*e^2*x+7*b^4*d^3*e*x+15*a^4*e^4+10*a^3*b*d*e^3+6*a^2*b^2*d^2*e^2+3*a*b^3*d^3*e+b^4*d^4)*((b*x+a)^2)^(3/2)/(e*x+d)^7/(b*x+a)^3","A"
1984,1,201,189,0.072000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^9,x)","-\frac{\left(70 b^{4} e^{4} x^{4}+224 a \,b^{3} e^{4} x^{3}+56 b^{4} d \,e^{3} x^{3}+280 a^{2} b^{2} e^{4} x^{2}+112 a \,b^{3} d \,e^{3} x^{2}+28 b^{4} d^{2} e^{2} x^{2}+160 a^{3} b \,e^{4} x +80 a^{2} b^{2} d \,e^{3} x +32 a \,b^{3} d^{2} e^{2} x +8 b^{4} d^{3} e x +35 a^{4} e^{4}+20 a^{3} b d \,e^{3}+10 a^{2} b^{2} d^{2} e^{2}+4 a \,b^{3} d^{3} e +b^{4} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{280 \left(e x +d \right)^{8} \left(b x +a \right)^{3} e^{5}}"," ",0,"-1/280/e^5*(70*b^4*e^4*x^4+224*a*b^3*e^4*x^3+56*b^4*d*e^3*x^3+280*a^2*b^2*e^4*x^2+112*a*b^3*d*e^3*x^2+28*b^4*d^2*e^2*x^2+160*a^3*b*e^4*x+80*a^2*b^2*d*e^3*x+32*a*b^3*d^2*e^2*x+8*b^4*d^3*e*x+35*a^4*e^4+20*a^3*b*d*e^3+10*a^2*b^2*d^2*e^2+4*a*b^3*d^3*e+b^4*d^4)*((b*x+a)^2)^(3/2)/(e*x+d)^8/(b*x+a)^3","A"
1985,1,201,189,0.056000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^10,x)","-\frac{\left(126 b^{4} e^{4} x^{4}+420 a \,b^{3} e^{4} x^{3}+84 b^{4} d \,e^{3} x^{3}+540 a^{2} b^{2} e^{4} x^{2}+180 a \,b^{3} d \,e^{3} x^{2}+36 b^{4} d^{2} e^{2} x^{2}+315 a^{3} b \,e^{4} x +135 a^{2} b^{2} d \,e^{3} x +45 a \,b^{3} d^{2} e^{2} x +9 b^{4} d^{3} e x +70 a^{4} e^{4}+35 a^{3} b d \,e^{3}+15 a^{2} b^{2} d^{2} e^{2}+5 a \,b^{3} d^{3} e +b^{4} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{630 \left(e x +d \right)^{9} \left(b x +a \right)^{3} e^{5}}"," ",0,"-1/630/e^5*(126*b^4*e^4*x^4+420*a*b^3*e^4*x^3+84*b^4*d*e^3*x^3+540*a^2*b^2*e^4*x^2+180*a*b^3*d*e^3*x^2+36*b^4*d^2*e^2*x^2+315*a^3*b*e^4*x+135*a^2*b^2*d*e^3*x+45*a*b^3*d^2*e^2*x+9*b^4*d^3*e*x+70*a^4*e^4+35*a^3*b*d*e^3+15*a^2*b^2*d^2*e^2+5*a*b^3*d^3*e+b^4*d^4)*((b*x+a)^2)^(3/2)/(e*x+d)^9/(b*x+a)^3","A"
1986,1,201,189,0.055000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^11,x)","-\frac{\left(210 b^{4} e^{4} x^{4}+720 a \,b^{3} e^{4} x^{3}+120 b^{4} d \,e^{3} x^{3}+945 a^{2} b^{2} e^{4} x^{2}+270 a \,b^{3} d \,e^{3} x^{2}+45 b^{4} d^{2} e^{2} x^{2}+560 a^{3} b \,e^{4} x +210 a^{2} b^{2} d \,e^{3} x +60 a \,b^{3} d^{2} e^{2} x +10 b^{4} d^{3} e x +126 a^{4} e^{4}+56 a^{3} b d \,e^{3}+21 a^{2} b^{2} d^{2} e^{2}+6 a \,b^{3} d^{3} e +b^{4} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{1260 \left(e x +d \right)^{10} \left(b x +a \right)^{3} e^{5}}"," ",0,"-1/1260/e^5*(210*b^4*e^4*x^4+720*a*b^3*e^4*x^3+120*b^4*d*e^3*x^3+945*a^2*b^2*e^4*x^2+270*a*b^3*d*e^3*x^2+45*b^4*d^2*e^2*x^2+560*a^3*b*e^4*x+210*a^2*b^2*d*e^3*x+60*a*b^3*d^2*e^2*x+10*b^4*d^3*e*x+126*a^4*e^4+56*a^3*b*d*e^3+21*a^2*b^2*d^2*e^2+6*a*b^3*d^3*e+b^4*d^4)*((b*x+a)^2)^(3/2)/(e*x+d)^10/(b*x+a)^3","A"
1987,1,201,189,0.055000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^12,x)","-\frac{\left(330 b^{4} e^{4} x^{4}+1155 a \,b^{3} e^{4} x^{3}+165 b^{4} d \,e^{3} x^{3}+1540 a^{2} b^{2} e^{4} x^{2}+385 a \,b^{3} d \,e^{3} x^{2}+55 b^{4} d^{2} e^{2} x^{2}+924 a^{3} b \,e^{4} x +308 a^{2} b^{2} d \,e^{3} x +77 a \,b^{3} d^{2} e^{2} x +11 b^{4} d^{3} e x +210 a^{4} e^{4}+84 a^{3} b d \,e^{3}+28 a^{2} b^{2} d^{2} e^{2}+7 a \,b^{3} d^{3} e +b^{4} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{2310 \left(e x +d \right)^{11} \left(b x +a \right)^{3} e^{5}}"," ",0,"-1/2310/e^5*(330*b^4*e^4*x^4+1155*a*b^3*e^4*x^3+165*b^4*d*e^3*x^3+1540*a^2*b^2*e^4*x^2+385*a*b^3*d*e^3*x^2+55*b^4*d^2*e^2*x^2+924*a^3*b*e^4*x+308*a^2*b^2*d*e^3*x+77*a*b^3*d^2*e^2*x+11*b^4*d^3*e*x+210*a^4*e^4+84*a^3*b*d*e^3+28*a^2*b^2*d^2*e^2+7*a*b^3*d^3*e+b^4*d^4)*((b*x+a)^2)^(3/2)/(e*x+d)^11/(b*x+a)^3","A"
1988,1,1034,271,0.051000," ","int((b*x+a)*(e*x+d)^9*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(5005 b^{6} e^{9} x^{15}+32032 x^{14} a \,b^{5} e^{9}+48048 x^{14} b^{6} d \,e^{8}+85800 x^{13} a^{2} b^{4} e^{9}+308880 x^{13} a \,b^{5} d \,e^{8}+205920 x^{13} b^{6} d^{2} e^{7}+123200 x^{12} a^{3} b^{3} e^{9}+831600 x^{12} a^{2} b^{4} d \,e^{8}+1330560 x^{12} a \,b^{5} d^{2} e^{7}+517440 x^{12} b^{6} d^{3} e^{6}+100100 x^{11} a^{4} b^{2} e^{9}+1201200 x^{11} a^{3} b^{3} d \,e^{8}+3603600 x^{11} a^{2} b^{4} d^{2} e^{7}+3363360 x^{11} a \,b^{5} d^{3} e^{6}+840840 x^{11} b^{6} d^{4} e^{5}+43680 x^{10} a^{5} b \,e^{9}+982800 x^{10} a^{4} b^{2} d \,e^{8}+5241600 x^{10} a^{3} b^{3} d^{2} e^{7}+9172800 x^{10} a^{2} b^{4} d^{3} e^{6}+5503680 x^{10} a \,b^{5} d^{4} e^{5}+917280 x^{10} b^{6} d^{5} e^{4}+8008 x^{9} a^{6} e^{9}+432432 x^{9} a^{5} b d \,e^{8}+4324320 x^{9} a^{4} b^{2} d^{2} e^{7}+13453440 x^{9} a^{3} b^{3} d^{3} e^{6}+15135120 x^{9} a^{2} b^{4} d^{4} e^{5}+6054048 x^{9} a \,b^{5} d^{5} e^{4}+672672 x^{9} b^{6} d^{6} e^{3}+80080 a^{6} d \,e^{8} x^{8}+1921920 a^{5} b \,d^{2} e^{7} x^{8}+11211200 a^{4} b^{2} d^{3} e^{6} x^{8}+22422400 a^{3} b^{3} d^{4} e^{5} x^{8}+16816800 a^{2} b^{4} d^{5} e^{4} x^{8}+4484480 a \,b^{5} d^{6} e^{3} x^{8}+320320 b^{6} d^{7} e^{2} x^{8}+360360 x^{7} a^{6} d^{2} e^{7}+5045040 x^{7} a^{5} b \,d^{3} e^{6}+18918900 x^{7} a^{4} b^{2} d^{4} e^{5}+25225200 x^{7} a^{3} b^{3} d^{5} e^{4}+12612600 x^{7} a^{2} b^{4} d^{6} e^{3}+2162160 x^{7} a \,b^{5} d^{7} e^{2}+90090 x^{7} b^{6} d^{8} e +960960 x^{6} a^{6} d^{3} e^{6}+8648640 x^{6} a^{5} b \,d^{4} e^{5}+21621600 x^{6} a^{4} b^{2} d^{5} e^{4}+19219200 x^{6} a^{3} b^{3} d^{6} e^{3}+6177600 x^{6} a^{2} b^{4} d^{7} e^{2}+617760 x^{6} a \,b^{5} d^{8} e +11440 x^{6} b^{6} d^{9}+1681680 x^{5} a^{6} d^{4} e^{5}+10090080 x^{5} a^{5} b \,d^{5} e^{4}+16816800 x^{5} a^{4} b^{2} d^{6} e^{3}+9609600 x^{5} a^{3} b^{3} d^{7} e^{2}+1801800 x^{5} a^{2} b^{4} d^{8} e +80080 x^{5} a \,b^{5} d^{9}+2018016 x^{4} a^{6} d^{5} e^{4}+8072064 x^{4} a^{5} b \,d^{6} e^{3}+8648640 x^{4} a^{4} b^{2} d^{7} e^{2}+2882880 x^{4} a^{3} b^{3} d^{8} e +240240 x^{4} a^{2} b^{4} d^{9}+1681680 x^{3} a^{6} d^{6} e^{3}+4324320 x^{3} a^{5} b \,d^{7} e^{2}+2702700 x^{3} a^{4} b^{2} d^{8} e +400400 x^{3} a^{3} b^{3} d^{9}+960960 a^{6} d^{7} e^{2} x^{2}+1441440 a^{5} b \,d^{8} e \,x^{2}+400400 a^{4} b^{2} d^{9} x^{2}+360360 x \,a^{6} d^{8} e +240240 x \,a^{5} b \,d^{9}+80080 a^{6} d^{9}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x}{80080 \left(b x +a \right)^{5}}"," ",0,"1/80080*x*(5005*b^6*e^9*x^15+32032*a*b^5*e^9*x^14+48048*b^6*d*e^8*x^14+85800*a^2*b^4*e^9*x^13+308880*a*b^5*d*e^8*x^13+205920*b^6*d^2*e^7*x^13+123200*a^3*b^3*e^9*x^12+831600*a^2*b^4*d*e^8*x^12+1330560*a*b^5*d^2*e^7*x^12+517440*b^6*d^3*e^6*x^12+100100*a^4*b^2*e^9*x^11+1201200*a^3*b^3*d*e^8*x^11+3603600*a^2*b^4*d^2*e^7*x^11+3363360*a*b^5*d^3*e^6*x^11+840840*b^6*d^4*e^5*x^11+43680*a^5*b*e^9*x^10+982800*a^4*b^2*d*e^8*x^10+5241600*a^3*b^3*d^2*e^7*x^10+9172800*a^2*b^4*d^3*e^6*x^10+5503680*a*b^5*d^4*e^5*x^10+917280*b^6*d^5*e^4*x^10+8008*a^6*e^9*x^9+432432*a^5*b*d*e^8*x^9+4324320*a^4*b^2*d^2*e^7*x^9+13453440*a^3*b^3*d^3*e^6*x^9+15135120*a^2*b^4*d^4*e^5*x^9+6054048*a*b^5*d^5*e^4*x^9+672672*b^6*d^6*e^3*x^9+80080*a^6*d*e^8*x^8+1921920*a^5*b*d^2*e^7*x^8+11211200*a^4*b^2*d^3*e^6*x^8+22422400*a^3*b^3*d^4*e^5*x^8+16816800*a^2*b^4*d^5*e^4*x^8+4484480*a*b^5*d^6*e^3*x^8+320320*b^6*d^7*e^2*x^8+360360*a^6*d^2*e^7*x^7+5045040*a^5*b*d^3*e^6*x^7+18918900*a^4*b^2*d^4*e^5*x^7+25225200*a^3*b^3*d^5*e^4*x^7+12612600*a^2*b^4*d^6*e^3*x^7+2162160*a*b^5*d^7*e^2*x^7+90090*b^6*d^8*e*x^7+960960*a^6*d^3*e^6*x^6+8648640*a^5*b*d^4*e^5*x^6+21621600*a^4*b^2*d^5*e^4*x^6+19219200*a^3*b^3*d^6*e^3*x^6+6177600*a^2*b^4*d^7*e^2*x^6+617760*a*b^5*d^8*e*x^6+11440*b^6*d^9*x^6+1681680*a^6*d^4*e^5*x^5+10090080*a^5*b*d^5*e^4*x^5+16816800*a^4*b^2*d^6*e^3*x^5+9609600*a^3*b^3*d^7*e^2*x^5+1801800*a^2*b^4*d^8*e*x^5+80080*a*b^5*d^9*x^5+2018016*a^6*d^5*e^4*x^4+8072064*a^5*b*d^6*e^3*x^4+8648640*a^4*b^2*d^7*e^2*x^4+2882880*a^3*b^3*d^8*e*x^4+240240*a^2*b^4*d^9*x^4+1681680*a^6*d^6*e^3*x^3+4324320*a^5*b*d^7*e^2*x^3+2702700*a^4*b^2*d^8*e*x^3+400400*a^3*b^3*d^9*x^3+960960*a^6*d^7*e^2*x^2+1441440*a^5*b*d^8*e*x^2+400400*a^4*b^2*d^9*x^2+360360*a^6*d^8*e*x+240240*a^5*b*d^9*x+80080*a^6*d^9)*((b*x+a)^2)^(5/2)/(b*x+a)^5","B"
1989,1,925,271,0.051000," ","int((b*x+a)*(e*x+d)^8*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(3003 b^{6} e^{8} x^{14}+19305 x^{13} a \,b^{5} e^{8}+25740 x^{13} b^{6} d \,e^{7}+51975 x^{12} a^{2} b^{4} e^{8}+166320 x^{12} a \,b^{5} d \,e^{7}+97020 x^{12} b^{6} d^{2} e^{6}+75075 x^{11} a^{3} b^{3} e^{8}+450450 x^{11} a^{2} b^{4} d \,e^{7}+630630 x^{11} a \,b^{5} d^{2} e^{6}+210210 x^{11} b^{6} d^{3} e^{5}+61425 x^{10} a^{4} b^{2} e^{8}+655200 x^{10} a^{3} b^{3} d \,e^{7}+1719900 x^{10} a^{2} b^{4} d^{2} e^{6}+1375920 x^{10} a \,b^{5} d^{3} e^{5}+286650 x^{10} b^{6} d^{4} e^{4}+27027 x^{9} a^{5} b \,e^{8}+540540 x^{9} a^{4} b^{2} d \,e^{7}+2522520 x^{9} a^{3} b^{3} d^{2} e^{6}+3783780 x^{9} a^{2} b^{4} d^{3} e^{5}+1891890 x^{9} a \,b^{5} d^{4} e^{4}+252252 x^{9} b^{6} d^{5} e^{3}+5005 x^{8} a^{6} e^{8}+240240 x^{8} a^{5} b d \,e^{7}+2102100 x^{8} a^{4} b^{2} d^{2} e^{6}+5605600 x^{8} a^{3} b^{3} d^{3} e^{5}+5255250 x^{8} a^{2} b^{4} d^{4} e^{4}+1681680 x^{8} a \,b^{5} d^{5} e^{3}+140140 x^{8} b^{6} d^{6} e^{2}+45045 a^{6} d \,e^{7} x^{7}+945945 a^{5} b \,d^{2} e^{6} x^{7}+4729725 a^{4} b^{2} d^{3} e^{5} x^{7}+7882875 a^{3} b^{3} d^{4} e^{4} x^{7}+4729725 a^{2} b^{4} d^{5} e^{3} x^{7}+945945 a \,b^{5} d^{6} e^{2} x^{7}+45045 b^{6} d^{7} e \,x^{7}+180180 x^{6} a^{6} d^{2} e^{6}+2162160 x^{6} a^{5} b \,d^{3} e^{5}+6756750 x^{6} a^{4} b^{2} d^{4} e^{4}+7207200 x^{6} a^{3} b^{3} d^{5} e^{3}+2702700 x^{6} a^{2} b^{4} d^{6} e^{2}+308880 x^{6} a \,b^{5} d^{7} e +6435 x^{6} b^{6} d^{8}+420420 x^{5} a^{6} d^{3} e^{5}+3153150 x^{5} a^{5} b \,d^{4} e^{4}+6306300 x^{5} a^{4} b^{2} d^{5} e^{3}+4204200 x^{5} a^{3} b^{3} d^{6} e^{2}+900900 x^{5} a^{2} b^{4} d^{7} e +45045 x^{5} a \,b^{5} d^{8}+630630 x^{4} a^{6} d^{4} e^{4}+3027024 x^{4} a^{5} b \,d^{5} e^{3}+3783780 x^{4} a^{4} b^{2} d^{6} e^{2}+1441440 x^{4} a^{3} b^{3} d^{7} e +135135 x^{4} a^{2} b^{4} d^{8}+630630 a^{6} d^{5} e^{3} x^{3}+1891890 a^{5} b \,d^{6} e^{2} x^{3}+1351350 a^{4} b^{2} d^{7} e \,x^{3}+225225 a^{3} b^{3} d^{8} x^{3}+420420 x^{2} a^{6} d^{6} e^{2}+720720 x^{2} a^{5} b \,d^{7} e +225225 x^{2} a^{4} b^{2} d^{8}+180180 a^{6} d^{7} e x +135135 a^{5} b \,d^{8} x +45045 a^{6} d^{8}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x}{45045 \left(b x +a \right)^{5}}"," ",0,"1/45045*x*(3003*b^6*e^8*x^14+19305*a*b^5*e^8*x^13+25740*b^6*d*e^7*x^13+51975*a^2*b^4*e^8*x^12+166320*a*b^5*d*e^7*x^12+97020*b^6*d^2*e^6*x^12+75075*a^3*b^3*e^8*x^11+450450*a^2*b^4*d*e^7*x^11+630630*a*b^5*d^2*e^6*x^11+210210*b^6*d^3*e^5*x^11+61425*a^4*b^2*e^8*x^10+655200*a^3*b^3*d*e^7*x^10+1719900*a^2*b^4*d^2*e^6*x^10+1375920*a*b^5*d^3*e^5*x^10+286650*b^6*d^4*e^4*x^10+27027*a^5*b*e^8*x^9+540540*a^4*b^2*d*e^7*x^9+2522520*a^3*b^3*d^2*e^6*x^9+3783780*a^2*b^4*d^3*e^5*x^9+1891890*a*b^5*d^4*e^4*x^9+252252*b^6*d^5*e^3*x^9+5005*a^6*e^8*x^8+240240*a^5*b*d*e^7*x^8+2102100*a^4*b^2*d^2*e^6*x^8+5605600*a^3*b^3*d^3*e^5*x^8+5255250*a^2*b^4*d^4*e^4*x^8+1681680*a*b^5*d^5*e^3*x^8+140140*b^6*d^6*e^2*x^8+45045*a^6*d*e^7*x^7+945945*a^5*b*d^2*e^6*x^7+4729725*a^4*b^2*d^3*e^5*x^7+7882875*a^3*b^3*d^4*e^4*x^7+4729725*a^2*b^4*d^5*e^3*x^7+945945*a*b^5*d^6*e^2*x^7+45045*b^6*d^7*e*x^7+180180*a^6*d^2*e^6*x^6+2162160*a^5*b*d^3*e^5*x^6+6756750*a^4*b^2*d^4*e^4*x^6+7207200*a^3*b^3*d^5*e^3*x^6+2702700*a^2*b^4*d^6*e^2*x^6+308880*a*b^5*d^7*e*x^6+6435*b^6*d^8*x^6+420420*a^6*d^3*e^5*x^5+3153150*a^5*b*d^4*e^4*x^5+6306300*a^4*b^2*d^5*e^3*x^5+4204200*a^3*b^3*d^6*e^2*x^5+900900*a^2*b^4*d^7*e*x^5+45045*a*b^5*d^8*x^5+630630*a^6*d^4*e^4*x^4+3027024*a^5*b*d^5*e^3*x^4+3783780*a^4*b^2*d^6*e^2*x^4+1441440*a^3*b^3*d^7*e*x^4+135135*a^2*b^4*d^8*x^4+630630*a^6*d^5*e^3*x^3+1891890*a^5*b*d^6*e^2*x^3+1351350*a^4*b^2*d^7*e*x^3+225225*a^3*b^3*d^8*x^3+420420*a^6*d^6*e^2*x^2+720720*a^5*b*d^7*e*x^2+225225*a^4*b^2*d^8*x^2+180180*a^6*d^7*e*x+135135*a^5*b*d^8*x+45045*a^6*d^8)*((b*x+a)^2)^(5/2)/(b*x+a)^5","B"
1990,1,816,271,0.050000," ","int((b*x+a)*(e*x+d)^7*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(1716 b^{6} e^{7} x^{13}+11088 x^{12} a \,b^{5} e^{7}+12936 x^{12} b^{6} d \,e^{6}+30030 x^{11} a^{2} b^{4} e^{7}+84084 x^{11} a \,b^{5} d \,e^{6}+42042 x^{11} b^{6} d^{2} e^{5}+43680 x^{10} a^{3} b^{3} e^{7}+229320 x^{10} a^{2} b^{4} d \,e^{6}+275184 x^{10} a \,b^{5} d^{2} e^{5}+76440 x^{10} b^{6} d^{3} e^{4}+36036 x^{9} a^{4} b^{2} e^{7}+336336 x^{9} a^{3} b^{3} d \,e^{6}+756756 x^{9} a^{2} b^{4} d^{2} e^{5}+504504 x^{9} a \,b^{5} d^{3} e^{4}+84084 x^{9} b^{6} d^{4} e^{3}+16016 x^{8} a^{5} b \,e^{7}+280280 x^{8} a^{4} b^{2} d \,e^{6}+1121120 x^{8} a^{3} b^{3} d^{2} e^{5}+1401400 x^{8} a^{2} b^{4} d^{3} e^{4}+560560 x^{8} a \,b^{5} d^{4} e^{3}+56056 x^{8} b^{6} d^{5} e^{2}+3003 x^{7} a^{6} e^{7}+126126 x^{7} a^{5} b d \,e^{6}+945945 x^{7} a^{4} b^{2} d^{2} e^{5}+2102100 x^{7} a^{3} b^{3} d^{3} e^{4}+1576575 x^{7} a^{2} b^{4} d^{4} e^{3}+378378 x^{7} a \,b^{5} d^{5} e^{2}+21021 x^{7} b^{6} d^{6} e +24024 x^{6} a^{6} d \,e^{6}+432432 x^{6} a^{5} b \,d^{2} e^{5}+1801800 x^{6} a^{4} b^{2} d^{3} e^{4}+2402400 x^{6} a^{3} b^{3} d^{4} e^{3}+1081080 x^{6} a^{2} b^{4} d^{5} e^{2}+144144 x^{6} a \,b^{5} d^{6} e +3432 x^{6} b^{6} d^{7}+84084 x^{5} a^{6} d^{2} e^{5}+840840 x^{5} a^{5} b \,d^{3} e^{4}+2102100 x^{5} a^{4} b^{2} d^{4} e^{3}+1681680 x^{5} a^{3} b^{3} d^{5} e^{2}+420420 x^{5} a^{2} b^{4} d^{6} e +24024 x^{5} a \,b^{5} d^{7}+168168 a^{6} d^{3} e^{4} x^{4}+1009008 a^{5} b \,d^{4} e^{3} x^{4}+1513512 a^{4} b^{2} d^{5} e^{2} x^{4}+672672 a^{3} b^{3} d^{6} e \,x^{4}+72072 a^{2} b^{4} d^{7} x^{4}+210210 x^{3} a^{6} d^{4} e^{3}+756756 x^{3} a^{5} b \,d^{5} e^{2}+630630 x^{3} a^{4} b^{2} d^{6} e +120120 x^{3} a^{3} b^{3} d^{7}+168168 a^{6} d^{5} e^{2} x^{2}+336336 a^{5} b \,d^{6} e \,x^{2}+120120 a^{4} b^{2} d^{7} x^{2}+84084 x \,a^{6} d^{6} e +72072 x \,a^{5} b \,d^{7}+24024 a^{6} d^{7}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x}{24024 \left(b x +a \right)^{5}}"," ",0,"1/24024*x*(1716*b^6*e^7*x^13+11088*a*b^5*e^7*x^12+12936*b^6*d*e^6*x^12+30030*a^2*b^4*e^7*x^11+84084*a*b^5*d*e^6*x^11+42042*b^6*d^2*e^5*x^11+43680*a^3*b^3*e^7*x^10+229320*a^2*b^4*d*e^6*x^10+275184*a*b^5*d^2*e^5*x^10+76440*b^6*d^3*e^4*x^10+36036*a^4*b^2*e^7*x^9+336336*a^3*b^3*d*e^6*x^9+756756*a^2*b^4*d^2*e^5*x^9+504504*a*b^5*d^3*e^4*x^9+84084*b^6*d^4*e^3*x^9+16016*a^5*b*e^7*x^8+280280*a^4*b^2*d*e^6*x^8+1121120*a^3*b^3*d^2*e^5*x^8+1401400*a^2*b^4*d^3*e^4*x^8+560560*a*b^5*d^4*e^3*x^8+56056*b^6*d^5*e^2*x^8+3003*a^6*e^7*x^7+126126*a^5*b*d*e^6*x^7+945945*a^4*b^2*d^2*e^5*x^7+2102100*a^3*b^3*d^3*e^4*x^7+1576575*a^2*b^4*d^4*e^3*x^7+378378*a*b^5*d^5*e^2*x^7+21021*b^6*d^6*e*x^7+24024*a^6*d*e^6*x^6+432432*a^5*b*d^2*e^5*x^6+1801800*a^4*b^2*d^3*e^4*x^6+2402400*a^3*b^3*d^4*e^3*x^6+1081080*a^2*b^4*d^5*e^2*x^6+144144*a*b^5*d^6*e*x^6+3432*b^6*d^7*x^6+84084*a^6*d^2*e^5*x^5+840840*a^5*b*d^3*e^4*x^5+2102100*a^4*b^2*d^4*e^3*x^5+1681680*a^3*b^3*d^5*e^2*x^5+420420*a^2*b^4*d^6*e*x^5+24024*a*b^5*d^7*x^5+168168*a^6*d^3*e^4*x^4+1009008*a^5*b*d^4*e^3*x^4+1513512*a^4*b^2*d^5*e^2*x^4+672672*a^3*b^3*d^6*e*x^4+72072*a^2*b^4*d^7*x^4+210210*a^6*d^4*e^3*x^3+756756*a^5*b*d^5*e^2*x^3+630630*a^4*b^2*d^6*e*x^3+120120*a^3*b^3*d^7*x^3+168168*a^6*d^5*e^2*x^2+336336*a^5*b*d^6*e*x^2+120120*a^4*b^2*d^7*x^2+84084*a^6*d^6*e*x+72072*a^5*b*d^7*x+24024*a^6*d^7)*((b*x+a)^2)^(5/2)/(b*x+a)^5","B"
1991,1,707,222,0.049000," ","int((b*x+a)*(e*x+d)^6*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(924 b^{6} e^{6} x^{12}+6006 x^{11} a \,b^{5} e^{6}+6006 x^{11} b^{6} d \,e^{5}+16380 x^{10} a^{2} b^{4} e^{6}+39312 x^{10} a \,b^{5} d \,e^{5}+16380 x^{10} b^{6} d^{2} e^{4}+24024 a^{3} b^{3} e^{6} x^{9}+108108 a^{2} b^{4} d \,e^{5} x^{9}+108108 a \,b^{5} d^{2} e^{4} x^{9}+24024 b^{6} d^{3} e^{3} x^{9}+20020 x^{8} a^{4} b^{2} e^{6}+160160 x^{8} a^{3} b^{3} d \,e^{5}+300300 x^{8} a^{2} b^{4} d^{2} e^{4}+160160 x^{8} a \,b^{5} d^{3} e^{3}+20020 x^{8} b^{6} d^{4} e^{2}+9009 x^{7} a^{5} b \,e^{6}+135135 x^{7} a^{4} b^{2} d \,e^{5}+450450 x^{7} a^{3} b^{3} d^{2} e^{4}+450450 x^{7} a^{2} b^{4} d^{3} e^{3}+135135 x^{7} a \,b^{5} d^{4} e^{2}+9009 x^{7} b^{6} d^{5} e +1716 x^{6} a^{6} e^{6}+61776 x^{6} a^{5} b d \,e^{5}+386100 x^{6} a^{4} b^{2} d^{2} e^{4}+686400 x^{6} a^{3} b^{3} d^{3} e^{3}+386100 x^{6} a^{2} b^{4} d^{4} e^{2}+61776 x^{6} a \,b^{5} d^{5} e +1716 x^{6} b^{6} d^{6}+12012 a^{6} d \,e^{5} x^{5}+180180 a^{5} b \,d^{2} e^{4} x^{5}+600600 a^{4} b^{2} d^{3} e^{3} x^{5}+600600 a^{3} b^{3} d^{4} e^{2} x^{5}+180180 a^{2} b^{4} d^{5} e \,x^{5}+12012 a \,b^{5} d^{6} x^{5}+36036 a^{6} d^{2} e^{4} x^{4}+288288 a^{5} b \,d^{3} e^{3} x^{4}+540540 a^{4} b^{2} d^{4} e^{2} x^{4}+288288 a^{3} b^{3} d^{5} e \,x^{4}+36036 a^{2} b^{4} d^{6} x^{4}+60060 x^{3} a^{6} d^{3} e^{3}+270270 x^{3} a^{5} b \,d^{4} e^{2}+270270 x^{3} a^{4} b^{2} d^{5} e +60060 x^{3} a^{3} b^{3} d^{6}+60060 a^{6} d^{4} e^{2} x^{2}+144144 a^{5} b \,d^{5} e \,x^{2}+60060 a^{4} b^{2} d^{6} x^{2}+36036 a^{6} d^{5} e x +36036 a^{5} b \,d^{6} x +12012 a^{6} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x}{12012 \left(b x +a \right)^{5}}"," ",0,"1/12012*x*(924*b^6*e^6*x^12+6006*a*b^5*e^6*x^11+6006*b^6*d*e^5*x^11+16380*a^2*b^4*e^6*x^10+39312*a*b^5*d*e^5*x^10+16380*b^6*d^2*e^4*x^10+24024*a^3*b^3*e^6*x^9+108108*a^2*b^4*d*e^5*x^9+108108*a*b^5*d^2*e^4*x^9+24024*b^6*d^3*e^3*x^9+20020*a^4*b^2*e^6*x^8+160160*a^3*b^3*d*e^5*x^8+300300*a^2*b^4*d^2*e^4*x^8+160160*a*b^5*d^3*e^3*x^8+20020*b^6*d^4*e^2*x^8+9009*a^5*b*e^6*x^7+135135*a^4*b^2*d*e^5*x^7+450450*a^3*b^3*d^2*e^4*x^7+450450*a^2*b^4*d^3*e^3*x^7+135135*a*b^5*d^4*e^2*x^7+9009*b^6*d^5*e*x^7+1716*a^6*e^6*x^6+61776*a^5*b*d*e^5*x^6+386100*a^4*b^2*d^2*e^4*x^6+686400*a^3*b^3*d^3*e^3*x^6+386100*a^2*b^4*d^4*e^2*x^6+61776*a*b^5*d^5*e*x^6+1716*b^6*d^6*x^6+12012*a^6*d*e^5*x^5+180180*a^5*b*d^2*e^4*x^5+600600*a^4*b^2*d^3*e^3*x^5+600600*a^3*b^3*d^4*e^2*x^5+180180*a^2*b^4*d^5*e*x^5+12012*a*b^5*d^6*x^5+36036*a^6*d^2*e^4*x^4+288288*a^5*b*d^3*e^3*x^4+540540*a^4*b^2*d^4*e^2*x^4+288288*a^3*b^3*d^5*e*x^4+36036*a^2*b^4*d^6*x^4+60060*a^6*d^3*e^3*x^3+270270*a^5*b*d^4*e^2*x^3+270270*a^4*b^2*d^5*e*x^3+60060*a^3*b^3*d^6*x^3+60060*a^6*d^4*e^2*x^2+144144*a^5*b*d^5*e*x^2+60060*a^4*b^2*d^6*x^2+36036*a^6*d^5*e*x+36036*a^5*b*d^6*x+12012*a^6*d^6)*((b*x+a)^2)^(5/2)/(b*x+a)^5","B"
1992,1,598,187,0.057000," ","int((b*x+a)*(e*x+d)^5*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(462 b^{6} e^{5} x^{11}+3024 x^{10} e^{5} a \,b^{5}+2520 x^{10} d \,e^{4} b^{6}+8316 x^{9} e^{5} a^{2} b^{4}+16632 x^{9} d \,e^{4} a \,b^{5}+5544 x^{9} d^{2} e^{3} b^{6}+12320 x^{8} e^{5} a^{3} b^{3}+46200 x^{8} d \,e^{4} a^{2} b^{4}+36960 x^{8} d^{2} e^{3} a \,b^{5}+6160 x^{8} d^{3} e^{2} b^{6}+10395 x^{7} e^{5} a^{4} b^{2}+69300 x^{7} d \,e^{4} a^{3} b^{3}+103950 x^{7} d^{2} e^{3} a^{2} b^{4}+41580 x^{7} d^{3} e^{2} a \,b^{5}+3465 x^{7} d^{4} e \,b^{6}+4752 x^{6} e^{5} a^{5} b +59400 x^{6} d \,e^{4} a^{4} b^{2}+158400 x^{6} d^{2} e^{3} a^{3} b^{3}+118800 x^{6} d^{3} e^{2} a^{2} b^{4}+23760 x^{6} d^{4} e a \,b^{5}+792 x^{6} d^{5} b^{6}+924 x^{5} e^{5} a^{6}+27720 x^{5} d \,e^{4} a^{5} b +138600 x^{5} d^{2} e^{3} a^{4} b^{2}+184800 x^{5} d^{3} e^{2} a^{3} b^{3}+69300 x^{5} d^{4} e \,a^{2} b^{4}+5544 x^{5} d^{5} a \,b^{5}+5544 a^{6} d \,e^{4} x^{4}+66528 a^{5} b \,d^{2} e^{3} x^{4}+166320 a^{4} b^{2} d^{3} e^{2} x^{4}+110880 a^{3} b^{3} d^{4} e \,x^{4}+16632 a^{2} b^{4} d^{5} x^{4}+13860 x^{3} d^{2} e^{3} a^{6}+83160 x^{3} d^{3} e^{2} a^{5} b +103950 x^{3} d^{4} e \,a^{4} b^{2}+27720 x^{3} d^{5} a^{3} b^{3}+18480 x^{2} d^{3} e^{2} a^{6}+55440 x^{2} d^{4} e \,a^{5} b +27720 x^{2} d^{5} a^{4} b^{2}+13860 x \,d^{4} e \,a^{6}+16632 x \,d^{5} a^{5} b +5544 d^{5} a^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x}{5544 \left(b x +a \right)^{5}}"," ",0,"1/5544*x*(462*b^6*e^5*x^11+3024*a*b^5*e^5*x^10+2520*b^6*d*e^4*x^10+8316*a^2*b^4*e^5*x^9+16632*a*b^5*d*e^4*x^9+5544*b^6*d^2*e^3*x^9+12320*a^3*b^3*e^5*x^8+46200*a^2*b^4*d*e^4*x^8+36960*a*b^5*d^2*e^3*x^8+6160*b^6*d^3*e^2*x^8+10395*a^4*b^2*e^5*x^7+69300*a^3*b^3*d*e^4*x^7+103950*a^2*b^4*d^2*e^3*x^7+41580*a*b^5*d^3*e^2*x^7+3465*b^6*d^4*e*x^7+4752*a^5*b*e^5*x^6+59400*a^4*b^2*d*e^4*x^6+158400*a^3*b^3*d^2*e^3*x^6+118800*a^2*b^4*d^3*e^2*x^6+23760*a*b^5*d^4*e*x^6+792*b^6*d^5*x^6+924*a^6*e^5*x^5+27720*a^5*b*d*e^4*x^5+138600*a^4*b^2*d^2*e^3*x^5+184800*a^3*b^3*d^3*e^2*x^5+69300*a^2*b^4*d^4*e*x^5+5544*a*b^5*d^5*x^5+5544*a^6*d*e^4*x^4+66528*a^5*b*d^2*e^3*x^4+166320*a^4*b^2*d^3*e^2*x^4+110880*a^3*b^3*d^4*e*x^4+16632*a^2*b^4*d^5*x^4+13860*a^6*d^2*e^3*x^3+83160*a^5*b*d^3*e^2*x^3+103950*a^4*b^2*d^4*e*x^3+27720*a^3*b^3*d^5*x^3+18480*a^6*d^3*e^2*x^2+55440*a^5*b*d^4*e*x^2+27720*a^4*b^2*d^5*x^2+13860*a^6*d^4*e*x+16632*a^5*b*d^5*x+5544*a^6*d^5)*((b*x+a)^2)^(5/2)/(b*x+a)^5","B"
1993,1,489,154,0.056000," ","int((b*x+a)*(e*x+d)^4*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(210 e^{4} b^{6} x^{10}+1386 x^{9} e^{4} a \,b^{5}+924 x^{9} d \,e^{3} b^{6}+3850 x^{8} e^{4} a^{2} b^{4}+6160 x^{8} d \,e^{3} a \,b^{5}+1540 x^{8} d^{2} e^{2} b^{6}+5775 x^{7} e^{4} a^{3} b^{3}+17325 x^{7} d \,e^{3} a^{2} b^{4}+10395 x^{7} d^{2} e^{2} a \,b^{5}+1155 x^{7} d^{3} e \,b^{6}+4950 x^{6} e^{4} a^{4} b^{2}+26400 x^{6} d \,e^{3} a^{3} b^{3}+29700 x^{6} d^{2} e^{2} a^{2} b^{4}+7920 x^{6} d^{3} e a \,b^{5}+330 x^{6} d^{4} b^{6}+2310 a^{5} b \,e^{4} x^{5}+23100 a^{4} b^{2} d \,e^{3} x^{5}+46200 a^{3} b^{3} d^{2} e^{2} x^{5}+23100 a^{2} b^{4} d^{3} e \,x^{5}+2310 a \,b^{5} d^{4} x^{5}+462 x^{4} e^{4} a^{6}+11088 x^{4} d \,e^{3} a^{5} b +41580 x^{4} d^{2} e^{2} a^{4} b^{2}+36960 x^{4} d^{3} e \,a^{3} b^{3}+6930 x^{4} d^{4} a^{2} b^{4}+2310 a^{6} d \,e^{3} x^{3}+20790 a^{5} b \,d^{2} e^{2} x^{3}+34650 a^{4} b^{2} d^{3} e \,x^{3}+11550 a^{3} b^{3} d^{4} x^{3}+4620 a^{6} d^{2} e^{2} x^{2}+18480 a^{5} b \,d^{3} e \,x^{2}+11550 a^{4} b^{2} d^{4} x^{2}+4620 a^{6} d^{3} e x +6930 a^{5} b \,d^{4} x +2310 d^{4} a^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x}{2310 \left(b x +a \right)^{5}}"," ",0,"1/2310*x*(210*b^6*e^4*x^10+1386*a*b^5*e^4*x^9+924*b^6*d*e^3*x^9+3850*a^2*b^4*e^4*x^8+6160*a*b^5*d*e^3*x^8+1540*b^6*d^2*e^2*x^8+5775*a^3*b^3*e^4*x^7+17325*a^2*b^4*d*e^3*x^7+10395*a*b^5*d^2*e^2*x^7+1155*b^6*d^3*e*x^7+4950*a^4*b^2*e^4*x^6+26400*a^3*b^3*d*e^3*x^6+29700*a^2*b^4*d^2*e^2*x^6+7920*a*b^5*d^3*e*x^6+330*b^6*d^4*x^6+2310*a^5*b*e^4*x^5+23100*a^4*b^2*d*e^3*x^5+46200*a^3*b^3*d^2*e^2*x^5+23100*a^2*b^4*d^3*e*x^5+2310*a*b^5*d^4*x^5+462*a^6*e^4*x^4+11088*a^5*b*d*e^3*x^4+41580*a^4*b^2*d^2*e^2*x^4+36960*a^3*b^3*d^3*e*x^4+6930*a^2*b^4*d^4*x^4+2310*a^6*d*e^3*x^3+20790*a^5*b*d^2*e^2*x^3+34650*a^4*b^2*d^3*e*x^3+11550*a^3*b^3*d^4*x^3+4620*a^6*d^2*e^2*x^2+18480*a^5*b*d^3*e*x^2+11550*a^4*b^2*d^4*x^2+4620*a^6*d^3*e*x+6930*a^5*b*d^4*x+2310*a^6*d^4)*((b*x+a)^2)^(5/2)/(b*x+a)^5","B"
1994,1,380,120,0.053000," ","int((b*x+a)*(e*x+d)^3*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(84 e^{3} b^{6} x^{9}+560 x^{8} e^{3} a \,b^{5}+280 x^{8} d \,e^{2} b^{6}+1575 x^{7} e^{3} a^{2} b^{4}+1890 x^{7} d \,e^{2} a \,b^{5}+315 x^{7} d^{2} e \,b^{6}+2400 x^{6} e^{3} a^{3} b^{3}+5400 x^{6} d \,e^{2} a^{2} b^{4}+2160 x^{6} d^{2} e a \,b^{5}+120 x^{6} d^{3} b^{6}+2100 x^{5} e^{3} a^{4} b^{2}+8400 x^{5} d \,e^{2} a^{3} b^{3}+6300 x^{5} d^{2} e \,a^{2} b^{4}+840 x^{5} d^{3} a \,b^{5}+1008 x^{4} e^{3} a^{5} b +7560 x^{4} d \,e^{2} a^{4} b^{2}+10080 x^{4} d^{2} e \,a^{3} b^{3}+2520 x^{4} d^{3} a^{2} b^{4}+210 x^{3} e^{3} a^{6}+3780 x^{3} d \,e^{2} a^{5} b +9450 x^{3} d^{2} e \,a^{4} b^{2}+4200 x^{3} d^{3} a^{3} b^{3}+840 a^{6} d \,e^{2} x^{2}+5040 a^{5} b \,d^{2} e \,x^{2}+4200 a^{4} b^{2} d^{3} x^{2}+1260 x \,d^{2} e \,a^{6}+2520 x \,d^{3} a^{5} b +840 d^{3} a^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x}{840 \left(b x +a \right)^{5}}"," ",0,"1/840*x*(84*b^6*e^3*x^9+560*a*b^5*e^3*x^8+280*b^6*d*e^2*x^8+1575*a^2*b^4*e^3*x^7+1890*a*b^5*d*e^2*x^7+315*b^6*d^2*e*x^7+2400*a^3*b^3*e^3*x^6+5400*a^2*b^4*d*e^2*x^6+2160*a*b^5*d^2*e*x^6+120*b^6*d^3*x^6+2100*a^4*b^2*e^3*x^5+8400*a^3*b^3*d*e^2*x^5+6300*a^2*b^4*d^2*e*x^5+840*a*b^5*d^3*x^5+1008*a^5*b*e^3*x^4+7560*a^4*b^2*d*e^2*x^4+10080*a^3*b^3*d^2*e*x^4+2520*a^2*b^4*d^3*x^4+210*a^6*e^3*x^3+3780*a^5*b*d*e^2*x^3+9450*a^4*b^2*d^2*e*x^3+4200*a^3*b^3*d^3*x^3+840*a^6*d*e^2*x^2+5040*a^5*b*d^2*e*x^2+4200*a^4*b^2*d^3*x^2+1260*a^6*d^2*e*x+2520*a^5*b*d^3*x+840*a^6*d^3)*((b*x+a)^2)^(5/2)/(b*x+a)^5","B"
1995,1,271,86,0.050000," ","int((b*x+a)*(e*x+d)^2*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(28 b^{6} e^{2} x^{8}+189 x^{7} e^{2} a \,b^{5}+63 x^{7} d e \,b^{6}+540 x^{6} e^{2} a^{2} b^{4}+432 x^{6} d e a \,b^{5}+36 x^{6} d^{2} b^{6}+840 x^{5} e^{2} a^{3} b^{3}+1260 x^{5} d e \,a^{2} b^{4}+252 x^{5} d^{2} a \,b^{5}+756 a^{4} b^{2} e^{2} x^{4}+2016 a^{3} b^{3} d e \,x^{4}+756 a^{2} b^{4} d^{2} x^{4}+378 x^{3} e^{2} a^{5} b +1890 x^{3} d e \,a^{4} b^{2}+1260 x^{3} d^{2} a^{3} b^{3}+84 x^{2} e^{2} a^{6}+1008 x^{2} d e \,a^{5} b +1260 x^{2} d^{2} a^{4} b^{2}+252 a^{6} d e x +756 a^{5} b \,d^{2} x +252 d^{2} a^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x}{252 \left(b x +a \right)^{5}}"," ",0,"1/252*x*(28*b^6*e^2*x^8+189*a*b^5*e^2*x^7+63*b^6*d*e*x^7+540*a^2*b^4*e^2*x^6+432*a*b^5*d*e*x^6+36*b^6*d^2*x^6+840*a^3*b^3*e^2*x^5+1260*a^2*b^4*d*e*x^5+252*a*b^5*d^2*x^5+756*a^4*b^2*e^2*x^4+2016*a^3*b^3*d*e*x^4+756*a^2*b^4*d^2*x^4+378*a^5*b*e^2*x^3+1890*a^4*b^2*d*e*x^3+1260*a^3*b^3*d^2*x^3+84*a^6*e^2*x^2+1008*a^5*b*d*e*x^2+1260*a^4*b^2*d^2*x^2+252*a^6*d*e*x+756*a^5*b*d^2*x+252*a^6*d^2)*((b*x+a)^2)^(5/2)/(b*x+a)^5","B"
1996,1,162,52,0.053000," ","int((b*x+a)*(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(7 e \,b^{6} x^{7}+48 x^{6} e a \,b^{5}+8 x^{6} d \,b^{6}+140 x^{5} e \,a^{2} b^{4}+56 x^{5} d a \,b^{5}+224 a^{3} b^{3} e \,x^{4}+168 a^{2} b^{4} d \,x^{4}+210 x^{3} e \,a^{4} b^{2}+280 x^{3} d \,a^{3} b^{3}+112 a^{5} b e \,x^{2}+280 a^{4} b^{2} d \,x^{2}+28 x e \,a^{6}+168 x d \,a^{5} b +56 d \,a^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x}{56 \left(b x +a \right)^{5}}"," ",0,"1/56*x*(7*b^6*e*x^7+48*a*b^5*e*x^6+8*b^6*d*x^6+140*a^2*b^4*e*x^5+56*a*b^5*d*x^5+224*a^3*b^3*e*x^4+168*a^2*b^4*d*x^4+210*a^4*b^2*e*x^3+280*a^3*b^3*d*x^3+112*a^5*b*e*x^2+280*a^4*b^2*d*x^2+28*a^6*e*x+168*a^5*b*d*x+56*a^6*d)*((b*x+a)^2)^(5/2)/(b*x+a)^5","B"
1997,1,82,23,0.043000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(b^{6} x^{6}+7 a \,b^{5} x^{5}+21 a^{2} b^{4} x^{4}+35 a^{3} b^{3} x^{3}+35 a^{4} b^{2} x^{2}+21 a^{5} b x +7 a^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} x}{7 \left(b x +a \right)^{5}}"," ",0,"1/7*x*(b^6*x^6+7*a*b^5*x^5+21*a^2*b^4*x^4+35*a^3*b^3*x^3+35*a^4*b^2*x^2+21*a^5*b*x+7*a^6)*((b*x+a)^2)^(5/2)/(b*x+a)^5","B"
1998,1,428,211,0.064000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d),x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} \left(10 b^{6} e^{6} x^{6}+72 a \,b^{5} e^{6} x^{5}-12 b^{6} d \,e^{5} x^{5}+225 a^{2} b^{4} e^{6} x^{4}-90 a \,b^{5} d \,e^{5} x^{4}+15 b^{6} d^{2} e^{4} x^{4}+400 a^{3} b^{3} e^{6} x^{3}-300 a^{2} b^{4} d \,e^{5} x^{3}+120 a \,b^{5} d^{2} e^{4} x^{3}-20 b^{6} d^{3} e^{3} x^{3}+450 a^{4} b^{2} e^{6} x^{2}-600 a^{3} b^{3} d \,e^{5} x^{2}+450 a^{2} b^{4} d^{2} e^{4} x^{2}-180 a \,b^{5} d^{3} e^{3} x^{2}+30 b^{6} d^{4} e^{2} x^{2}+60 a^{6} e^{6} \ln \left(e x +d \right)-360 a^{5} b d \,e^{5} \ln \left(e x +d \right)+360 a^{5} b \,e^{6} x +900 a^{4} b^{2} d^{2} e^{4} \ln \left(e x +d \right)-900 a^{4} b^{2} d \,e^{5} x -1200 a^{3} b^{3} d^{3} e^{3} \ln \left(e x +d \right)+1200 a^{3} b^{3} d^{2} e^{4} x +900 a^{2} b^{4} d^{4} e^{2} \ln \left(e x +d \right)-900 a^{2} b^{4} d^{3} e^{3} x -360 a \,b^{5} d^{5} e \ln \left(e x +d \right)+360 a \,b^{5} d^{4} e^{2} x +60 b^{6} d^{6} \ln \left(e x +d \right)-60 b^{6} d^{5} e x \right)}{60 \left(b x +a \right)^{5} e^{7}}"," ",0,"1/60*((b*x+a)^2)^(5/2)*(10*x^6*b^6*e^6+60*ln(e*x+d)*a^6*e^6+60*ln(e*x+d)*b^6*d^6-360*ln(e*x+d)*a*b^5*d^5*e-180*x^2*a*b^5*d^3*e^3-900*x*a^4*b^2*d*e^5+1200*x*a^3*b^3*d^2*e^4-900*x*a^2*b^4*d^3*e^3+360*x*a*b^5*d^4*e^2+900*ln(e*x+d)*a^2*b^4*d^4*e^2-90*x^4*a*b^5*d*e^5-300*x^3*a^2*b^4*d*e^5-20*x^3*b^6*d^3*e^3+72*x^5*a*b^5*e^6-12*x^5*b^6*d*e^5+225*x^4*a^2*b^4*e^6+15*x^4*b^6*d^2*e^4+400*x^3*a^3*b^3*e^6-1200*ln(e*x+d)*a^3*b^3*d^3*e^3+450*x^2*a^4*b^2*e^6+30*x^2*b^6*d^4*e^2+360*x*a^5*b*e^6-360*ln(e*x+d)*a^5*b*d*e^5+900*ln(e*x+d)*a^4*b^2*d^2*e^4+120*x^3*a*b^5*d^2*e^4-600*x^2*a^3*b^3*d*e^5+450*x^2*a^2*b^4*d^2*e^4-60*x*b^6*d^5*e)/(b*x+a)^5/e^7","B"
1999,1,601,264,0.071000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^2,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} \left(2 b^{6} e^{6} x^{6}+15 a \,b^{5} e^{6} x^{5}-3 b^{6} d \,e^{5} x^{5}+50 a^{2} b^{4} e^{6} x^{4}-25 a \,b^{5} d \,e^{5} x^{4}+5 b^{6} d^{2} e^{4} x^{4}+100 a^{3} b^{3} e^{6} x^{3}-100 a^{2} b^{4} d \,e^{5} x^{3}+50 a \,b^{5} d^{2} e^{4} x^{3}-10 b^{6} d^{3} e^{3} x^{3}+60 a^{5} b \,e^{6} x \ln \left(e x +d \right)-300 a^{4} b^{2} d \,e^{5} x \ln \left(e x +d \right)+150 a^{4} b^{2} e^{6} x^{2}+600 a^{3} b^{3} d^{2} e^{4} x \ln \left(e x +d \right)-300 a^{3} b^{3} d \,e^{5} x^{2}-600 a^{2} b^{4} d^{3} e^{3} x \ln \left(e x +d \right)+300 a^{2} b^{4} d^{2} e^{4} x^{2}+300 a \,b^{5} d^{4} e^{2} x \ln \left(e x +d \right)-150 a \,b^{5} d^{3} e^{3} x^{2}-60 b^{6} d^{5} e x \ln \left(e x +d \right)+30 b^{6} d^{4} e^{2} x^{2}+60 a^{5} b d \,e^{5} \ln \left(e x +d \right)-300 a^{4} b^{2} d^{2} e^{4} \ln \left(e x +d \right)+150 a^{4} b^{2} d \,e^{5} x +600 a^{3} b^{3} d^{3} e^{3} \ln \left(e x +d \right)-400 a^{3} b^{3} d^{2} e^{4} x -600 a^{2} b^{4} d^{4} e^{2} \ln \left(e x +d \right)+450 a^{2} b^{4} d^{3} e^{3} x +300 a \,b^{5} d^{5} e \ln \left(e x +d \right)-240 a \,b^{5} d^{4} e^{2} x -60 b^{6} d^{6} \ln \left(e x +d \right)+50 b^{6} d^{5} e x -10 a^{6} e^{6}+60 a^{5} b d \,e^{5}-150 a^{4} b^{2} d^{2} e^{4}+200 a^{3} b^{3} d^{3} e^{3}-150 a^{2} b^{4} d^{4} e^{2}+60 a \,b^{5} d^{5} e -10 b^{6} d^{6}\right)}{10 \left(b x +a \right)^{5} \left(e x +d \right) e^{7}}"," ",0,"1/10*((b*x+a)^2)^(5/2)*(2*b^6*e^6*x^6+600*ln(e*x+d)*x*a^3*b^3*d^2*e^4+300*ln(e*x+d)*x*a*b^5*d^4*e^2-300*ln(e*x+d)*x*a^4*b^2*d*e^5-600*ln(e*x+d)*x*a^2*b^4*d^3*e^3-60*b^6*d^6*ln(e*x+d)+300*a*b^5*d^5*e*ln(e*x+d)-150*a*b^5*d^3*e^3*x^2+150*a^4*b^2*d*e^5*x-400*a^3*b^3*d^2*e^4*x+450*a^2*b^4*d^3*e^3*x-240*a*b^5*d^4*e^2*x+60*d*e^5*a^5*b-10*b^6*d^6-10*a^6*e^6-150*a^4*b^2*d^2*e^4+200*a^3*b^3*d^3*e^3-150*a^2*b^4*d^4*e^2+60*a*b^5*d^5*e-600*a^2*b^4*d^4*e^2*ln(e*x+d)-25*a*b^5*d*e^5*x^4-100*a^2*b^4*d*e^5*x^3-10*b^6*d^3*e^3*x^3+15*a*b^5*e^6*x^5-3*b^6*d*e^5*x^5+50*a^2*b^4*e^6*x^4+5*b^6*d^2*e^4*x^4+100*a^3*b^3*e^6*x^3+600*a^3*b^3*d^3*e^3*ln(e*x+d)+150*a^4*b^2*e^6*x^2+30*b^6*d^4*e^2*x^2+60*a^5*b*d*e^5*ln(e*x+d)-300*a^4*b^2*d^2*e^4*ln(e*x+d)+50*a*b^5*d^2*e^4*x^3-300*a^3*b^3*d*e^5*x^2+300*a^2*b^4*d^2*e^4*x^2+50*b^6*d^5*e*x+60*ln(e*x+d)*x*a^5*b*e^6-60*ln(e*x+d)*x*b^6*d^5*e)/(b*x+a)^5/e^7/(e*x+d)","B"
2000,1,669,264,0.067000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^3,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} \left(b^{6} e^{6} x^{6}+8 a \,b^{5} e^{6} x^{5}-2 b^{6} d \,e^{5} x^{5}+30 a^{2} b^{4} e^{6} x^{4}-20 a \,b^{5} d \,e^{5} x^{4}+5 b^{6} d^{2} e^{4} x^{4}+60 a^{4} b^{2} e^{6} x^{2} \ln \left(e x +d \right)-240 a^{3} b^{3} d \,e^{5} x^{2} \ln \left(e x +d \right)+80 a^{3} b^{3} e^{6} x^{3}+360 a^{2} b^{4} d^{2} e^{4} x^{2} \ln \left(e x +d \right)-120 a^{2} b^{4} d \,e^{5} x^{3}-240 a \,b^{5} d^{3} e^{3} x^{2} \ln \left(e x +d \right)+80 a \,b^{5} d^{2} e^{4} x^{3}+60 b^{6} d^{4} e^{2} x^{2} \ln \left(e x +d \right)-20 b^{6} d^{3} e^{3} x^{3}+120 a^{4} b^{2} d \,e^{5} x \ln \left(e x +d \right)-480 a^{3} b^{3} d^{2} e^{4} x \ln \left(e x +d \right)+160 a^{3} b^{3} d \,e^{5} x^{2}+720 a^{2} b^{4} d^{3} e^{3} x \ln \left(e x +d \right)-330 a^{2} b^{4} d^{2} e^{4} x^{2}-480 a \,b^{5} d^{4} e^{2} x \ln \left(e x +d \right)+252 a \,b^{5} d^{3} e^{3} x^{2}+120 b^{6} d^{5} e x \ln \left(e x +d \right)-68 b^{6} d^{4} e^{2} x^{2}-24 a^{5} b \,e^{6} x +60 a^{4} b^{2} d^{2} e^{4} \ln \left(e x +d \right)+120 a^{4} b^{2} d \,e^{5} x -240 a^{3} b^{3} d^{3} e^{3} \ln \left(e x +d \right)-160 a^{3} b^{3} d^{2} e^{4} x +360 a^{2} b^{4} d^{4} e^{2} \ln \left(e x +d \right)+60 a^{2} b^{4} d^{3} e^{3} x -240 a \,b^{5} d^{5} e \ln \left(e x +d \right)+24 a \,b^{5} d^{4} e^{2} x +60 b^{6} d^{6} \ln \left(e x +d \right)-16 b^{6} d^{5} e x -2 a^{6} e^{6}-12 a^{5} b d \,e^{5}+90 a^{4} b^{2} d^{2} e^{4}-200 a^{3} b^{3} d^{3} e^{3}+210 a^{2} b^{4} d^{4} e^{2}-108 a \,b^{5} d^{5} e +22 b^{6} d^{6}\right)}{4 \left(b x +a \right)^{5} \left(e x +d \right)^{2} e^{7}}"," ",0,"1/4*((b*x+a)^2)^(5/2)*(b^6*e^6*x^6-240*ln(e*x+d)*x^2*a^3*b^3*d*e^5+360*ln(e*x+d)*x^2*a^2*b^4*d^2*e^4-240*ln(e*x+d)*x^2*a*b^5*d^3*e^3-480*a^3*b^3*d^2*e^4*x*ln(e*x+d)-480*a*b^5*d^4*e^2*x*ln(e*x+d)+120*a^4*b^2*d*e^5*x*ln(e*x+d)+720*a^2*b^4*d^3*e^3*x*ln(e*x+d)+60*b^6*d^6*ln(e*x+d)-240*a*b^5*d^5*e*ln(e*x+d)+252*a*b^5*d^3*e^3*x^2+120*a^4*b^2*d*e^5*x-160*a^3*b^3*d^2*e^4*x+60*a^2*b^4*d^3*e^3*x+24*a*b^5*d^4*e^2*x-12*a^5*b*d*e^5+22*b^6*d^6-2*a^6*e^6+90*a^4*b^2*d^2*e^4-200*a^3*b^3*d^3*e^3+210*a^2*b^4*d^4*e^2-108*a*b^5*d^5*e+360*a^2*b^4*d^4*e^2*ln(e*x+d)-20*a*b^5*d*e^5*x^4-120*a^2*b^4*d*e^5*x^3-20*b^6*d^3*e^3*x^3+8*a*b^5*e^6*x^5-2*b^6*d*e^5*x^5+30*a^2*b^4*e^6*x^4+5*b^6*d^2*e^4*x^4+80*a^3*b^3*e^6*x^3-240*a^3*b^3*d^3*e^3*ln(e*x+d)-68*b^6*d^4*e^2*x^2-24*a^5*b*e^6*x+60*a^4*b^2*d^2*e^4*ln(e*x+d)+80*a*b^5*d^2*e^4*x^3+160*a^3*b^3*d*e^5*x^2-330*a^2*b^4*d^2*e^4*x^2+60*ln(e*x+d)*x^2*a^4*b^2*e^6+60*ln(e*x+d)*x^2*b^6*d^4*e^2-16*b^6*d^5*e*x+120*b^6*d^5*e*x*ln(e*x+d))/(b*x+a)^5/e^7/(e*x+d)^2","B"
2001,1,692,264,0.112000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^4,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} \left(b^{6} e^{6} x^{6}+9 a \,b^{5} e^{6} x^{5}-3 b^{6} d \,e^{5} x^{5}+60 a^{3} b^{3} e^{6} x^{3} \ln \left(e x +d \right)-180 a^{2} b^{4} d \,e^{5} x^{3} \ln \left(e x +d \right)+45 a^{2} b^{4} e^{6} x^{4}+180 a \,b^{5} d^{2} e^{4} x^{3} \ln \left(e x +d \right)-45 a \,b^{5} d \,e^{5} x^{4}-60 b^{6} d^{3} e^{3} x^{3} \ln \left(e x +d \right)+15 b^{6} d^{2} e^{4} x^{4}+180 a^{3} b^{3} d \,e^{5} x^{2} \ln \left(e x +d \right)-540 a^{2} b^{4} d^{2} e^{4} x^{2} \ln \left(e x +d \right)+135 a^{2} b^{4} d \,e^{5} x^{3}+540 a \,b^{5} d^{3} e^{3} x^{2} \ln \left(e x +d \right)-189 a \,b^{5} d^{2} e^{4} x^{3}-180 b^{6} d^{4} e^{2} x^{2} \ln \left(e x +d \right)+73 b^{6} d^{3} e^{3} x^{3}-45 a^{4} b^{2} e^{6} x^{2}+180 a^{3} b^{3} d^{2} e^{4} x \ln \left(e x +d \right)+180 a^{3} b^{3} d \,e^{5} x^{2}-540 a^{2} b^{4} d^{3} e^{3} x \ln \left(e x +d \right)-135 a^{2} b^{4} d^{2} e^{4} x^{2}+540 a \,b^{5} d^{4} e^{2} x \ln \left(e x +d \right)-27 a \,b^{5} d^{3} e^{3} x^{2}-180 b^{6} d^{5} e x \ln \left(e x +d \right)+39 b^{6} d^{4} e^{2} x^{2}-9 a^{5} b \,e^{6} x -45 a^{4} b^{2} d \,e^{5} x +60 a^{3} b^{3} d^{3} e^{3} \ln \left(e x +d \right)+270 a^{3} b^{3} d^{2} e^{4} x -180 a^{2} b^{4} d^{4} e^{2} \ln \left(e x +d \right)-405 a^{2} b^{4} d^{3} e^{3} x +180 a \,b^{5} d^{5} e \ln \left(e x +d \right)+243 a \,b^{5} d^{4} e^{2} x -60 b^{6} d^{6} \ln \left(e x +d \right)-51 b^{6} d^{5} e x -a^{6} e^{6}-3 a^{5} b d \,e^{5}-15 a^{4} b^{2} d^{2} e^{4}+110 a^{3} b^{3} d^{3} e^{3}-195 a^{2} b^{4} d^{4} e^{2}+141 a \,b^{5} d^{5} e -37 b^{6} d^{6}\right)}{3 \left(b x +a \right)^{5} \left(e x +d \right)^{3} e^{7}}"," ",0,"1/3*((b*x+a)^2)^(5/2)*(b^6*e^6*x^6+180*ln(e*x+d)*x^3*a*b^5*d^2*e^4-180*ln(e*x+d)*x^3*a^2*b^4*d*e^5+180*a^3*b^3*d*e^5*x^2*ln(e*x+d)-540*a^2*b^4*d^2*e^4*x^2*ln(e*x+d)+540*a*b^5*d^3*e^3*x^2*ln(e*x+d)+180*a^3*b^3*d^2*e^4*x*ln(e*x+d)+540*a*b^5*d^4*e^2*x*ln(e*x+d)-540*a^2*b^4*d^3*e^3*x*ln(e*x+d)-60*b^6*d^6*ln(e*x+d)+180*a*b^5*d^5*e*ln(e*x+d)-27*a*b^5*d^3*e^3*x^2-45*a^4*b^2*d*e^5*x+270*a^3*b^3*d^2*e^4*x-405*a^2*b^4*d^3*e^3*x+243*a*b^5*d^4*e^2*x-3*a^5*b*d*e^5-37*b^6*d^6-a^6*e^6-15*a^4*b^2*d^2*e^4+110*a^3*b^3*d^3*e^3-195*a^2*b^4*d^4*e^2+141*a*b^5*d^5*e-180*a^2*b^4*d^4*e^2*ln(e*x+d)-45*a*b^5*d*e^5*x^4+135*a^2*b^4*d*e^5*x^3+73*b^6*d^3*e^3*x^3+9*a*b^5*e^6*x^5-3*b^6*d*e^5*x^5+45*a^2*b^4*e^6*x^4+15*b^6*d^2*e^4*x^4+60*a^3*b^3*d^3*e^3*ln(e*x+d)-45*a^4*b^2*e^6*x^2+39*b^6*d^4*e^2*x^2-9*a^5*b*e^6*x-189*a*b^5*d^2*e^4*x^3+180*a^3*b^3*d*e^5*x^2-135*a^2*b^4*d^2*e^4*x^2-180*b^6*d^4*e^2*x^2*ln(e*x+d)-51*b^6*d^5*e*x-180*b^6*d^5*e*x*ln(e*x+d)+60*ln(e*x+d)*x^3*a^3*b^3*e^6-60*ln(e*x+d)*x^3*b^6*d^3*e^3)/(b*x+a)^5/e^7/(e*x+d)^3","B"
2002,1,670,261,0.085000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^5,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} \left(2 b^{6} e^{6} x^{6}+60 a^{2} b^{4} e^{6} x^{4} \ln \left(e x +d \right)-120 a \,b^{5} d \,e^{5} x^{4} \ln \left(e x +d \right)+24 a \,b^{5} e^{6} x^{5}+60 b^{6} d^{2} e^{4} x^{4} \ln \left(e x +d \right)-12 b^{6} d \,e^{5} x^{5}+240 a^{2} b^{4} d \,e^{5} x^{3} \ln \left(e x +d \right)-480 a \,b^{5} d^{2} e^{4} x^{3} \ln \left(e x +d \right)+96 a \,b^{5} d \,e^{5} x^{4}+240 b^{6} d^{3} e^{3} x^{3} \ln \left(e x +d \right)-68 b^{6} d^{2} e^{4} x^{4}-80 a^{3} b^{3} e^{6} x^{3}+360 a^{2} b^{4} d^{2} e^{4} x^{2} \ln \left(e x +d \right)+240 a^{2} b^{4} d \,e^{5} x^{3}-720 a \,b^{5} d^{3} e^{3} x^{2} \ln \left(e x +d \right)-96 a \,b^{5} d^{2} e^{4} x^{3}+360 b^{6} d^{4} e^{2} x^{2} \ln \left(e x +d \right)-32 b^{6} d^{3} e^{3} x^{3}-30 a^{4} b^{2} e^{6} x^{2}-120 a^{3} b^{3} d \,e^{5} x^{2}+240 a^{2} b^{4} d^{3} e^{3} x \ln \left(e x +d \right)+540 a^{2} b^{4} d^{2} e^{4} x^{2}-480 a \,b^{5} d^{4} e^{2} x \ln \left(e x +d \right)-504 a \,b^{5} d^{3} e^{3} x^{2}+240 b^{6} d^{5} e x \ln \left(e x +d \right)+132 b^{6} d^{4} e^{2} x^{2}-8 a^{5} b \,e^{6} x -20 a^{4} b^{2} d \,e^{5} x -80 a^{3} b^{3} d^{2} e^{4} x +60 a^{2} b^{4} d^{4} e^{2} \ln \left(e x +d \right)+440 a^{2} b^{4} d^{3} e^{3} x -120 a \,b^{5} d^{5} e \ln \left(e x +d \right)-496 a \,b^{5} d^{4} e^{2} x +60 b^{6} d^{6} \ln \left(e x +d \right)+168 b^{6} d^{5} e x -a^{6} e^{6}-2 a^{5} b d \,e^{5}-5 a^{4} b^{2} d^{2} e^{4}-20 a^{3} b^{3} d^{3} e^{3}+125 a^{2} b^{4} d^{4} e^{2}-154 a \,b^{5} d^{5} e +57 b^{6} d^{6}\right)}{4 \left(b x +a \right)^{5} \left(e x +d \right)^{4} e^{7}}"," ",0,"1/4*((b*x+a)^2)^(5/2)*(2*b^6*e^6*x^6-120*ln(e*x+d)*x^4*a*b^5*d*e^5-480*a*b^5*d^2*e^4*x^3*ln(e*x+d)+240*a^2*b^4*d*e^5*x^3*ln(e*x+d)+360*a^2*b^4*d^2*e^4*x^2*ln(e*x+d)-720*a*b^5*d^3*e^3*x^2*ln(e*x+d)-480*a*b^5*d^4*e^2*x*ln(e*x+d)+240*a^2*b^4*d^3*e^3*x*ln(e*x+d)+60*b^6*d^6*ln(e*x+d)-120*a*b^5*d^5*e*ln(e*x+d)-504*a*b^5*d^3*e^3*x^2-20*a^4*b^2*d*e^5*x-80*a^3*b^3*d^2*e^4*x+440*a^2*b^4*d^3*e^3*x-496*a*b^5*d^4*e^2*x-2*a^5*b*d*e^5+57*b^6*d^6-a^6*e^6-5*a^4*b^2*d^2*e^4-20*a^3*b^3*d^3*e^3+125*a^2*b^4*d^4*e^2-154*a*b^5*d^5*e+60*a^2*b^4*d^4*e^2*ln(e*x+d)+96*a*b^5*d*e^5*x^4+240*a^2*b^4*d*e^5*x^3-32*b^6*d^3*e^3*x^3+24*a*b^5*e^6*x^5-12*b^6*d*e^5*x^5-68*b^6*d^2*e^4*x^4-80*a^3*b^3*e^6*x^3-30*a^4*b^2*e^6*x^2+132*b^6*d^4*e^2*x^2-8*a^5*b*e^6*x-96*a*b^5*d^2*e^4*x^3-120*a^3*b^3*d*e^5*x^2+540*a^2*b^4*d^2*e^4*x^2+360*b^6*d^4*e^2*x^2*ln(e*x+d)+60*ln(e*x+d)*x^4*a^2*b^4*e^6+60*ln(e*x+d)*x^4*b^6*d^2*e^4+168*b^6*d^5*e*x+240*b^6*d^5*e*x*ln(e*x+d)+240*b^6*d^3*e^3*x^3*ln(e*x+d))/(b*x+a)^5/e^7/(e*x+d)^4","B"
2003,1,603,263,0.112000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^6,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} \left(60 a \,b^{5} e^{6} x^{5} \ln \left(e x +d \right)-60 b^{6} d \,e^{5} x^{5} \ln \left(e x +d \right)+10 b^{6} e^{6} x^{6}+300 a \,b^{5} d \,e^{5} x^{4} \ln \left(e x +d \right)-300 b^{6} d^{2} e^{4} x^{4} \ln \left(e x +d \right)+50 b^{6} d \,e^{5} x^{5}-150 a^{2} b^{4} e^{6} x^{4}+600 a \,b^{5} d^{2} e^{4} x^{3} \ln \left(e x +d \right)+300 a \,b^{5} d \,e^{5} x^{4}-600 b^{6} d^{3} e^{3} x^{3} \ln \left(e x +d \right)-50 b^{6} d^{2} e^{4} x^{4}-100 a^{3} b^{3} e^{6} x^{3}-300 a^{2} b^{4} d \,e^{5} x^{3}+600 a \,b^{5} d^{3} e^{3} x^{2} \ln \left(e x +d \right)+900 a \,b^{5} d^{2} e^{4} x^{3}-600 b^{6} d^{4} e^{2} x^{2} \ln \left(e x +d \right)-400 b^{6} d^{3} e^{3} x^{3}-50 a^{4} b^{2} e^{6} x^{2}-100 a^{3} b^{3} d \,e^{5} x^{2}-300 a^{2} b^{4} d^{2} e^{4} x^{2}+300 a \,b^{5} d^{4} e^{2} x \ln \left(e x +d \right)+1100 a \,b^{5} d^{3} e^{3} x^{2}-300 b^{6} d^{5} e x \ln \left(e x +d \right)-600 b^{6} d^{4} e^{2} x^{2}-15 a^{5} b \,e^{6} x -25 a^{4} b^{2} d \,e^{5} x -50 a^{3} b^{3} d^{2} e^{4} x -150 a^{2} b^{4} d^{3} e^{3} x +60 a \,b^{5} d^{5} e \ln \left(e x +d \right)+625 a \,b^{5} d^{4} e^{2} x -60 b^{6} d^{6} \ln \left(e x +d \right)-375 b^{6} d^{5} e x -2 a^{6} e^{6}-3 a^{5} b d \,e^{5}-5 a^{4} b^{2} d^{2} e^{4}-10 a^{3} b^{3} d^{3} e^{3}-30 a^{2} b^{4} d^{4} e^{2}+137 a \,b^{5} d^{5} e -87 b^{6} d^{6}\right)}{10 \left(b x +a \right)^{5} \left(e x +d \right)^{5} e^{7}}"," ",0,"1/10*((b*x+a)^2)^(5/2)*(10*b^6*e^6*x^6+300*a*b^5*d*e^5*x^4*ln(e*x+d)+600*a*b^5*d^2*e^4*x^3*ln(e*x+d)+600*a*b^5*d^3*e^3*x^2*ln(e*x+d)+300*a*b^5*d^4*e^2*x*ln(e*x+d)-60*b^6*d^6*ln(e*x+d)+60*a*b^5*d^5*e*ln(e*x+d)+1100*a*b^5*d^3*e^3*x^2-25*a^4*b^2*d*e^5*x-50*a^3*b^3*d^2*e^4*x-150*a^2*b^4*d^3*e^3*x+625*a*b^5*d^4*e^2*x-3*a^5*b*d*e^5-87*b^6*d^6-2*a^6*e^6-5*a^4*b^2*d^2*e^4-10*a^3*b^3*d^3*e^3-30*a^2*b^4*d^4*e^2+137*a*b^5*d^5*e+300*a*b^5*d*e^5*x^4-300*a^2*b^4*d*e^5*x^3-400*b^6*d^3*e^3*x^3+50*b^6*d*e^5*x^5-150*a^2*b^4*e^6*x^4-50*b^6*d^2*e^4*x^4-100*a^3*b^3*e^6*x^3+60*ln(e*x+d)*x^5*a*b^5*e^6-50*a^4*b^2*e^6*x^2-600*b^6*d^4*e^2*x^2-15*a^5*b*e^6*x+900*a*b^5*d^2*e^4*x^3-100*a^3*b^3*d*e^5*x^2-300*a^2*b^4*d^2*e^4*x^2-60*ln(e*x+d)*x^5*b^6*d*e^5-600*b^6*d^4*e^2*x^2*ln(e*x+d)-300*b^6*d^2*e^4*x^4*ln(e*x+d)-375*b^6*d^5*e*x-300*b^6*d^5*e*x*ln(e*x+d)-600*b^6*d^3*e^3*x^3*ln(e*x+d))/(b*x+a)^5/e^7/(e*x+d)^5","B"
2004,1,507,269,0.071000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^7,x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} \left(60 b^{6} e^{6} x^{6} \ln \left(e x +d \right)+360 b^{6} d \,e^{5} x^{5} \ln \left(e x +d \right)-360 a \,b^{5} e^{6} x^{5}+900 b^{6} d^{2} e^{4} x^{4} \ln \left(e x +d \right)+360 b^{6} d \,e^{5} x^{5}-450 a^{2} b^{4} e^{6} x^{4}-900 a \,b^{5} d \,e^{5} x^{4}+1200 b^{6} d^{3} e^{3} x^{3} \ln \left(e x +d \right)+1350 b^{6} d^{2} e^{4} x^{4}-400 a^{3} b^{3} e^{6} x^{3}-600 a^{2} b^{4} d \,e^{5} x^{3}-1200 a \,b^{5} d^{2} e^{4} x^{3}+900 b^{6} d^{4} e^{2} x^{2} \ln \left(e x +d \right)+2200 b^{6} d^{3} e^{3} x^{3}-225 a^{4} b^{2} e^{6} x^{2}-300 a^{3} b^{3} d \,e^{5} x^{2}-450 a^{2} b^{4} d^{2} e^{4} x^{2}-900 a \,b^{5} d^{3} e^{3} x^{2}+360 b^{6} d^{5} e x \ln \left(e x +d \right)+1875 b^{6} d^{4} e^{2} x^{2}-72 a^{5} b \,e^{6} x -90 a^{4} b^{2} d \,e^{5} x -120 a^{3} b^{3} d^{2} e^{4} x -180 a^{2} b^{4} d^{3} e^{3} x -360 a \,b^{5} d^{4} e^{2} x +60 b^{6} d^{6} \ln \left(e x +d \right)+822 b^{6} d^{5} e x -10 a^{6} e^{6}-12 a^{5} b d \,e^{5}-15 a^{4} b^{2} d^{2} e^{4}-20 a^{3} b^{3} d^{3} e^{3}-30 a^{2} b^{4} d^{4} e^{2}-60 a \,b^{5} d^{5} e +147 b^{6} d^{6}\right)}{60 \left(b x +a \right)^{5} \left(e x +d \right)^{6} e^{7}}"," ",0,"1/60*((b*x+a)^2)^(5/2)*(60*b^6*d^6*ln(e*x+d)+60*ln(e*x+d)*x^6*b^6*e^6-900*a*b^5*d^3*e^3*x^2-90*a^4*b^2*d*e^5*x-120*a^3*b^3*d^2*e^4*x-180*a^2*b^4*d^3*e^3*x-360*a*b^5*d^4*e^2*x-12*a^5*b*d*e^5+147*b^6*d^6-10*a^6*e^6-15*a^4*b^2*d^2*e^4-20*a^3*b^3*d^3*e^3-30*a^2*b^4*d^4*e^2-60*a*b^5*d^5*e-900*a*b^5*d*e^5*x^4-600*a^2*b^4*d*e^5*x^3+2200*b^6*d^3*e^3*x^3-360*a*b^5*e^6*x^5+360*b^6*d*e^5*x^5-450*a^2*b^4*e^6*x^4+1350*b^6*d^2*e^4*x^4-400*a^3*b^3*e^6*x^3-225*a^4*b^2*e^6*x^2+1875*b^6*d^4*e^2*x^2-72*a^5*b*e^6*x-1200*a*b^5*d^2*e^4*x^3-300*a^3*b^3*d*e^5*x^2-450*a^2*b^4*d^2*e^4*x^2+360*b^6*d*e^5*x^5*ln(e*x+d)+900*b^6*d^4*e^2*x^2*ln(e*x+d)+900*b^6*d^2*e^4*x^4*ln(e*x+d)+822*b^6*d^5*e*x+360*b^6*d^5*e*x*ln(e*x+d)+1200*b^6*d^3*e^3*x^3*ln(e*x+d))/(b*x+a)^5/e^7/(e*x+d)^6","A"
2005,1,386,37,0.053000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^8,x)","-\frac{\left(7 b^{6} e^{6} x^{6}+21 a \,b^{5} e^{6} x^{5}+21 b^{6} d \,e^{5} x^{5}+35 a^{2} b^{4} e^{6} x^{4}+35 a \,b^{5} d \,e^{5} x^{4}+35 b^{6} d^{2} e^{4} x^{4}+35 a^{3} b^{3} e^{6} x^{3}+35 a^{2} b^{4} d \,e^{5} x^{3}+35 a \,b^{5} d^{2} e^{4} x^{3}+35 b^{6} d^{3} e^{3} x^{3}+21 a^{4} b^{2} e^{6} x^{2}+21 a^{3} b^{3} d \,e^{5} x^{2}+21 a^{2} b^{4} d^{2} e^{4} x^{2}+21 a \,b^{5} d^{3} e^{3} x^{2}+21 b^{6} d^{4} e^{2} x^{2}+7 a^{5} b \,e^{6} x +7 a^{4} b^{2} d \,e^{5} x +7 a^{3} b^{3} d^{2} e^{4} x +7 a^{2} b^{4} d^{3} e^{3} x +7 a \,b^{5} d^{4} e^{2} x +7 b^{6} d^{5} e x +a^{6} e^{6}+a^{5} b d \,e^{5}+a^{4} b^{2} d^{2} e^{4}+a^{3} b^{3} d^{3} e^{3}+a^{2} b^{4} d^{4} e^{2}+a \,b^{5} d^{5} e +b^{6} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{7 \left(e x +d \right)^{7} \left(b x +a \right)^{5} e^{7}}"," ",0,"-1/7*(7*b^6*e^6*x^6+21*a*b^5*e^6*x^5+21*b^6*d*e^5*x^5+35*a^2*b^4*e^6*x^4+35*a*b^5*d*e^5*x^4+35*b^6*d^2*e^4*x^4+35*a^3*b^3*e^6*x^3+35*a^2*b^4*d*e^5*x^3+35*a*b^5*d^2*e^4*x^3+35*b^6*d^3*e^3*x^3+21*a^4*b^2*e^6*x^2+21*a^3*b^3*d*e^5*x^2+21*a^2*b^4*d^2*e^4*x^2+21*a*b^5*d^3*e^3*x^2+21*b^6*d^4*e^2*x^2+7*a^5*b*e^6*x+7*a^4*b^2*d*e^5*x+7*a^3*b^3*d^2*e^4*x+7*a^2*b^4*d^3*e^3*x+7*a*b^5*d^4*e^2*x+7*b^6*d^5*e*x+a^6*e^6+a^5*b*d*e^5+a^4*b^2*d^2*e^4+a^3*b^3*d^3*e^3+a^2*b^4*d^4*e^2+a*b^5*d^5*e+b^6*d^6)*((b*x+a)^2)^(5/2)/(e*x+d)^7/e^7/(b*x+a)^5","B"
2006,1,392,72,0.053000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^9,x)","-\frac{\left(28 b^{6} e^{6} x^{6}+112 a \,b^{5} e^{6} x^{5}+56 b^{6} d \,e^{5} x^{5}+210 a^{2} b^{4} e^{6} x^{4}+140 a \,b^{5} d \,e^{5} x^{4}+70 b^{6} d^{2} e^{4} x^{4}+224 a^{3} b^{3} e^{6} x^{3}+168 a^{2} b^{4} d \,e^{5} x^{3}+112 a \,b^{5} d^{2} e^{4} x^{3}+56 b^{6} d^{3} e^{3} x^{3}+140 a^{4} b^{2} e^{6} x^{2}+112 a^{3} b^{3} d \,e^{5} x^{2}+84 a^{2} b^{4} d^{2} e^{4} x^{2}+56 a \,b^{5} d^{3} e^{3} x^{2}+28 b^{6} d^{4} e^{2} x^{2}+48 a^{5} b \,e^{6} x +40 a^{4} b^{2} d \,e^{5} x +32 a^{3} b^{3} d^{2} e^{4} x +24 a^{2} b^{4} d^{3} e^{3} x +16 a \,b^{5} d^{4} e^{2} x +8 b^{6} d^{5} e x +7 a^{6} e^{6}+6 a^{5} b d \,e^{5}+5 a^{4} b^{2} d^{2} e^{4}+4 a^{3} b^{3} d^{3} e^{3}+3 a^{2} b^{4} d^{4} e^{2}+2 a \,b^{5} d^{5} e +b^{6} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{56 \left(e x +d \right)^{8} \left(b x +a \right)^{5} e^{7}}"," ",0,"-1/56/e^7*(28*b^6*e^6*x^6+112*a*b^5*e^6*x^5+56*b^6*d*e^5*x^5+210*a^2*b^4*e^6*x^4+140*a*b^5*d*e^5*x^4+70*b^6*d^2*e^4*x^4+224*a^3*b^3*e^6*x^3+168*a^2*b^4*d*e^5*x^3+112*a*b^5*d^2*e^4*x^3+56*b^6*d^3*e^3*x^3+140*a^4*b^2*e^6*x^2+112*a^3*b^3*d*e^5*x^2+84*a^2*b^4*d^2*e^4*x^2+56*a*b^5*d^3*e^3*x^2+28*b^6*d^4*e^2*x^2+48*a^5*b*e^6*x+40*a^4*b^2*d*e^5*x+32*a^3*b^3*d^2*e^4*x+24*a^2*b^4*d^3*e^3*x+16*a*b^5*d^4*e^2*x+8*b^6*d^5*e*x+7*a^6*e^6+6*a^5*b*d*e^5+5*a^4*b^2*d^2*e^4+4*a^3*b^3*d^3*e^3+3*a^2*b^4*d^4*e^2+2*a*b^5*d^5*e+b^6*d^6)*((b*x+a)^2)^(5/2)/(e*x+d)^8/(b*x+a)^5","B"
2007,1,392,110,0.056000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^10,x)","-\frac{\left(84 b^{6} e^{6} x^{6}+378 a \,b^{5} e^{6} x^{5}+126 b^{6} d \,e^{5} x^{5}+756 a^{2} b^{4} e^{6} x^{4}+378 a \,b^{5} d \,e^{5} x^{4}+126 b^{6} d^{2} e^{4} x^{4}+840 a^{3} b^{3} e^{6} x^{3}+504 a^{2} b^{4} d \,e^{5} x^{3}+252 a \,b^{5} d^{2} e^{4} x^{3}+84 b^{6} d^{3} e^{3} x^{3}+540 a^{4} b^{2} e^{6} x^{2}+360 a^{3} b^{3} d \,e^{5} x^{2}+216 a^{2} b^{4} d^{2} e^{4} x^{2}+108 a \,b^{5} d^{3} e^{3} x^{2}+36 b^{6} d^{4} e^{2} x^{2}+189 a^{5} b \,e^{6} x +135 a^{4} b^{2} d \,e^{5} x +90 a^{3} b^{3} d^{2} e^{4} x +54 a^{2} b^{4} d^{3} e^{3} x +27 a \,b^{5} d^{4} e^{2} x +9 b^{6} d^{5} e x +28 a^{6} e^{6}+21 a^{5} b d \,e^{5}+15 a^{4} b^{2} d^{2} e^{4}+10 a^{3} b^{3} d^{3} e^{3}+6 a^{2} b^{4} d^{4} e^{2}+3 a \,b^{5} d^{5} e +b^{6} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{252 \left(e x +d \right)^{9} \left(b x +a \right)^{5} e^{7}}"," ",0,"-1/252/e^7*(84*b^6*e^6*x^6+378*a*b^5*e^6*x^5+126*b^6*d*e^5*x^5+756*a^2*b^4*e^6*x^4+378*a*b^5*d*e^5*x^4+126*b^6*d^2*e^4*x^4+840*a^3*b^3*e^6*x^3+504*a^2*b^4*d*e^5*x^3+252*a*b^5*d^2*e^4*x^3+84*b^6*d^3*e^3*x^3+540*a^4*b^2*e^6*x^2+360*a^3*b^3*d*e^5*x^2+216*a^2*b^4*d^2*e^4*x^2+108*a*b^5*d^3*e^3*x^2+36*b^6*d^4*e^2*x^2+189*a^5*b*e^6*x+135*a^4*b^2*d*e^5*x+90*a^3*b^3*d^2*e^4*x+54*a^2*b^4*d^3*e^3*x+27*a*b^5*d^4*e^2*x+9*b^6*d^5*e*x+28*a^6*e^6+21*a^5*b*d*e^5+15*a^4*b^2*d^2*e^4+10*a^3*b^3*d^3*e^3+6*a^2*b^4*d^4*e^2+3*a*b^5*d^5*e+b^6*d^6)*((b*x+a)^2)^(5/2)/(e*x+d)^9/(b*x+a)^5","B"
2008,1,392,148,0.056000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^11,x)","-\frac{\left(210 b^{6} e^{6} x^{6}+1008 a \,b^{5} e^{6} x^{5}+252 b^{6} d \,e^{5} x^{5}+2100 a^{2} b^{4} e^{6} x^{4}+840 a \,b^{5} d \,e^{5} x^{4}+210 b^{6} d^{2} e^{4} x^{4}+2400 a^{3} b^{3} e^{6} x^{3}+1200 a^{2} b^{4} d \,e^{5} x^{3}+480 a \,b^{5} d^{2} e^{4} x^{3}+120 b^{6} d^{3} e^{3} x^{3}+1575 a^{4} b^{2} e^{6} x^{2}+900 a^{3} b^{3} d \,e^{5} x^{2}+450 a^{2} b^{4} d^{2} e^{4} x^{2}+180 a \,b^{5} d^{3} e^{3} x^{2}+45 b^{6} d^{4} e^{2} x^{2}+560 a^{5} b \,e^{6} x +350 a^{4} b^{2} d \,e^{5} x +200 a^{3} b^{3} d^{2} e^{4} x +100 a^{2} b^{4} d^{3} e^{3} x +40 a \,b^{5} d^{4} e^{2} x +10 b^{6} d^{5} e x +84 a^{6} e^{6}+56 a^{5} b d \,e^{5}+35 a^{4} b^{2} d^{2} e^{4}+20 a^{3} b^{3} d^{3} e^{3}+10 a^{2} b^{4} d^{4} e^{2}+4 a \,b^{5} d^{5} e +b^{6} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{840 \left(e x +d \right)^{10} \left(b x +a \right)^{5} e^{7}}"," ",0,"-1/840/e^7*(210*b^6*e^6*x^6+1008*a*b^5*e^6*x^5+252*b^6*d*e^5*x^5+2100*a^2*b^4*e^6*x^4+840*a*b^5*d*e^5*x^4+210*b^6*d^2*e^4*x^4+2400*a^3*b^3*e^6*x^3+1200*a^2*b^4*d*e^5*x^3+480*a*b^5*d^2*e^4*x^3+120*b^6*d^3*e^3*x^3+1575*a^4*b^2*e^6*x^2+900*a^3*b^3*d*e^5*x^2+450*a^2*b^4*d^2*e^4*x^2+180*a*b^5*d^3*e^3*x^2+45*b^6*d^4*e^2*x^2+560*a^5*b*e^6*x+350*a^4*b^2*d*e^5*x+200*a^3*b^3*d^2*e^4*x+100*a^2*b^4*d^3*e^3*x+40*a*b^5*d^4*e^2*x+10*b^6*d^5*e*x+84*a^6*e^6+56*a^5*b*d*e^5+35*a^4*b^2*d^2*e^4+20*a^3*b^3*d^3*e^3+10*a^2*b^4*d^4*e^2+4*a*b^5*d^5*e+b^6*d^6)*((b*x+a)^2)^(5/2)/(e*x+d)^10/(b*x+a)^5","B"
2009,1,392,270,0.069000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^12,x)","-\frac{\left(462 b^{6} e^{6} x^{6}+2310 a \,b^{5} e^{6} x^{5}+462 b^{6} d \,e^{5} x^{5}+4950 a^{2} b^{4} e^{6} x^{4}+1650 a \,b^{5} d \,e^{5} x^{4}+330 b^{6} d^{2} e^{4} x^{4}+5775 a^{3} b^{3} e^{6} x^{3}+2475 a^{2} b^{4} d \,e^{5} x^{3}+825 a \,b^{5} d^{2} e^{4} x^{3}+165 b^{6} d^{3} e^{3} x^{3}+3850 a^{4} b^{2} e^{6} x^{2}+1925 a^{3} b^{3} d \,e^{5} x^{2}+825 a^{2} b^{4} d^{2} e^{4} x^{2}+275 a \,b^{5} d^{3} e^{3} x^{2}+55 b^{6} d^{4} e^{2} x^{2}+1386 a^{5} b \,e^{6} x +770 a^{4} b^{2} d \,e^{5} x +385 a^{3} b^{3} d^{2} e^{4} x +165 a^{2} b^{4} d^{3} e^{3} x +55 a \,b^{5} d^{4} e^{2} x +11 b^{6} d^{5} e x +210 a^{6} e^{6}+126 a^{5} b d \,e^{5}+70 a^{4} b^{2} d^{2} e^{4}+35 a^{3} b^{3} d^{3} e^{3}+15 a^{2} b^{4} d^{4} e^{2}+5 a \,b^{5} d^{5} e +b^{6} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{2310 \left(e x +d \right)^{11} \left(b x +a \right)^{5} e^{7}}"," ",0,"-1/2310/e^7*(462*b^6*e^6*x^6+2310*a*b^5*e^6*x^5+462*b^6*d*e^5*x^5+4950*a^2*b^4*e^6*x^4+1650*a*b^5*d*e^5*x^4+330*b^6*d^2*e^4*x^4+5775*a^3*b^3*e^6*x^3+2475*a^2*b^4*d*e^5*x^3+825*a*b^5*d^2*e^4*x^3+165*b^6*d^3*e^3*x^3+3850*a^4*b^2*e^6*x^2+1925*a^3*b^3*d*e^5*x^2+825*a^2*b^4*d^2*e^4*x^2+275*a*b^5*d^3*e^3*x^2+55*b^6*d^4*e^2*x^2+1386*a^5*b*e^6*x+770*a^4*b^2*d*e^5*x+385*a^3*b^3*d^2*e^4*x+165*a^2*b^4*d^3*e^3*x+55*a*b^5*d^4*e^2*x+11*b^6*d^5*e*x+210*a^6*e^6+126*a^5*b*d*e^5+70*a^4*b^2*d^2*e^4+35*a^3*b^3*d^3*e^3+15*a^2*b^4*d^4*e^2+5*a*b^5*d^5*e+b^6*d^6)*((b*x+a)^2)^(5/2)/(e*x+d)^11/(b*x+a)^5","A"
2010,1,392,271,0.064000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^13,x)","-\frac{\left(924 b^{6} e^{6} x^{6}+4752 a \,b^{5} e^{6} x^{5}+792 b^{6} d \,e^{5} x^{5}+10395 a^{2} b^{4} e^{6} x^{4}+2970 a \,b^{5} d \,e^{5} x^{4}+495 b^{6} d^{2} e^{4} x^{4}+12320 a^{3} b^{3} e^{6} x^{3}+4620 a^{2} b^{4} d \,e^{5} x^{3}+1320 a \,b^{5} d^{2} e^{4} x^{3}+220 b^{6} d^{3} e^{3} x^{3}+8316 a^{4} b^{2} e^{6} x^{2}+3696 a^{3} b^{3} d \,e^{5} x^{2}+1386 a^{2} b^{4} d^{2} e^{4} x^{2}+396 a \,b^{5} d^{3} e^{3} x^{2}+66 b^{6} d^{4} e^{2} x^{2}+3024 a^{5} b \,e^{6} x +1512 a^{4} b^{2} d \,e^{5} x +672 a^{3} b^{3} d^{2} e^{4} x +252 a^{2} b^{4} d^{3} e^{3} x +72 a \,b^{5} d^{4} e^{2} x +12 b^{6} d^{5} e x +462 a^{6} e^{6}+252 a^{5} b d \,e^{5}+126 a^{4} b^{2} d^{2} e^{4}+56 a^{3} b^{3} d^{3} e^{3}+21 a^{2} b^{4} d^{4} e^{2}+6 a \,b^{5} d^{5} e +b^{6} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{5544 \left(e x +d \right)^{12} \left(b x +a \right)^{5} e^{7}}"," ",0,"-1/5544/e^7*(924*b^6*e^6*x^6+4752*a*b^5*e^6*x^5+792*b^6*d*e^5*x^5+10395*a^2*b^4*e^6*x^4+2970*a*b^5*d*e^5*x^4+495*b^6*d^2*e^4*x^4+12320*a^3*b^3*e^6*x^3+4620*a^2*b^4*d*e^5*x^3+1320*a*b^5*d^2*e^4*x^3+220*b^6*d^3*e^3*x^3+8316*a^4*b^2*e^6*x^2+3696*a^3*b^3*d*e^5*x^2+1386*a^2*b^4*d^2*e^4*x^2+396*a*b^5*d^3*e^3*x^2+66*b^6*d^4*e^2*x^2+3024*a^5*b*e^6*x+1512*a^4*b^2*d*e^5*x+672*a^3*b^3*d^2*e^4*x+252*a^2*b^4*d^3*e^3*x+72*a*b^5*d^4*e^2*x+12*b^6*d^5*e*x+462*a^6*e^6+252*a^5*b*d*e^5+126*a^4*b^2*d^2*e^4+56*a^3*b^3*d^3*e^3+21*a^2*b^4*d^4*e^2+6*a*b^5*d^5*e+b^6*d^6)*((b*x+a)^2)^(5/2)/(e*x+d)^12/(b*x+a)^5","A"
2011,1,392,271,0.060000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^14,x)","-\frac{\left(1716 b^{6} e^{6} x^{6}+9009 a \,b^{5} e^{6} x^{5}+1287 b^{6} d \,e^{5} x^{5}+20020 a^{2} b^{4} e^{6} x^{4}+5005 a \,b^{5} d \,e^{5} x^{4}+715 b^{6} d^{2} e^{4} x^{4}+24024 a^{3} b^{3} e^{6} x^{3}+8008 a^{2} b^{4} d \,e^{5} x^{3}+2002 a \,b^{5} d^{2} e^{4} x^{3}+286 b^{6} d^{3} e^{3} x^{3}+16380 a^{4} b^{2} e^{6} x^{2}+6552 a^{3} b^{3} d \,e^{5} x^{2}+2184 a^{2} b^{4} d^{2} e^{4} x^{2}+546 a \,b^{5} d^{3} e^{3} x^{2}+78 b^{6} d^{4} e^{2} x^{2}+6006 a^{5} b \,e^{6} x +2730 a^{4} b^{2} d \,e^{5} x +1092 a^{3} b^{3} d^{2} e^{4} x +364 a^{2} b^{4} d^{3} e^{3} x +91 a \,b^{5} d^{4} e^{2} x +13 b^{6} d^{5} e x +924 a^{6} e^{6}+462 a^{5} b d \,e^{5}+210 a^{4} b^{2} d^{2} e^{4}+84 a^{3} b^{3} d^{3} e^{3}+28 a^{2} b^{4} d^{4} e^{2}+7 a \,b^{5} d^{5} e +b^{6} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{12012 \left(e x +d \right)^{13} \left(b x +a \right)^{5} e^{7}}"," ",0,"-1/12012/e^7*(1716*b^6*e^6*x^6+9009*a*b^5*e^6*x^5+1287*b^6*d*e^5*x^5+20020*a^2*b^4*e^6*x^4+5005*a*b^5*d*e^5*x^4+715*b^6*d^2*e^4*x^4+24024*a^3*b^3*e^6*x^3+8008*a^2*b^4*d*e^5*x^3+2002*a*b^5*d^2*e^4*x^3+286*b^6*d^3*e^3*x^3+16380*a^4*b^2*e^6*x^2+6552*a^3*b^3*d*e^5*x^2+2184*a^2*b^4*d^2*e^4*x^2+546*a*b^5*d^3*e^3*x^2+78*b^6*d^4*e^2*x^2+6006*a^5*b*e^6*x+2730*a^4*b^2*d*e^5*x+1092*a^3*b^3*d^2*e^4*x+364*a^2*b^4*d^3*e^3*x+91*a*b^5*d^4*e^2*x+13*b^6*d^5*e*x+924*a^6*e^6+462*a^5*b*d*e^5+210*a^4*b^2*d^2*e^4+84*a^3*b^3*d^3*e^3+28*a^2*b^4*d^4*e^2+7*a*b^5*d^5*e+b^6*d^6)*((b*x+a)^2)^(5/2)/(e*x+d)^13/(b*x+a)^5","A"
2012,1,392,271,0.058000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^15,x)","-\frac{\left(3003 b^{6} e^{6} x^{6}+16016 a \,b^{5} e^{6} x^{5}+2002 b^{6} d \,e^{5} x^{5}+36036 a^{2} b^{4} e^{6} x^{4}+8008 a \,b^{5} d \,e^{5} x^{4}+1001 b^{6} d^{2} e^{4} x^{4}+43680 a^{3} b^{3} e^{6} x^{3}+13104 a^{2} b^{4} d \,e^{5} x^{3}+2912 a \,b^{5} d^{2} e^{4} x^{3}+364 b^{6} d^{3} e^{3} x^{3}+30030 a^{4} b^{2} e^{6} x^{2}+10920 a^{3} b^{3} d \,e^{5} x^{2}+3276 a^{2} b^{4} d^{2} e^{4} x^{2}+728 a \,b^{5} d^{3} e^{3} x^{2}+91 b^{6} d^{4} e^{2} x^{2}+11088 a^{5} b \,e^{6} x +4620 a^{4} b^{2} d \,e^{5} x +1680 a^{3} b^{3} d^{2} e^{4} x +504 a^{2} b^{4} d^{3} e^{3} x +112 a \,b^{5} d^{4} e^{2} x +14 b^{6} d^{5} e x +1716 a^{6} e^{6}+792 a^{5} b d \,e^{5}+330 a^{4} b^{2} d^{2} e^{4}+120 a^{3} b^{3} d^{3} e^{3}+36 a^{2} b^{4} d^{4} e^{2}+8 a \,b^{5} d^{5} e +b^{6} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{24024 \left(e x +d \right)^{14} \left(b x +a \right)^{5} e^{7}}"," ",0,"-1/24024/e^7*(3003*b^6*e^6*x^6+16016*a*b^5*e^6*x^5+2002*b^6*d*e^5*x^5+36036*a^2*b^4*e^6*x^4+8008*a*b^5*d*e^5*x^4+1001*b^6*d^2*e^4*x^4+43680*a^3*b^3*e^6*x^3+13104*a^2*b^4*d*e^5*x^3+2912*a*b^5*d^2*e^4*x^3+364*b^6*d^3*e^3*x^3+30030*a^4*b^2*e^6*x^2+10920*a^3*b^3*d*e^5*x^2+3276*a^2*b^4*d^2*e^4*x^2+728*a*b^5*d^3*e^3*x^2+91*b^6*d^4*e^2*x^2+11088*a^5*b*e^6*x+4620*a^4*b^2*d*e^5*x+1680*a^3*b^3*d^2*e^4*x+504*a^2*b^4*d^3*e^3*x+112*a*b^5*d^4*e^2*x+14*b^6*d^5*e*x+1716*a^6*e^6+792*a^5*b*d*e^5+330*a^4*b^2*d^2*e^4+120*a^3*b^3*d^3*e^3+36*a^2*b^4*d^4*e^2+8*a*b^5*d^5*e+b^6*d^6)*((b*x+a)^2)^(5/2)/(e*x+d)^14/(b*x+a)^5","A"
2013,1,392,271,0.072000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^16,x)","-\frac{\left(5005 b^{6} e^{6} x^{6}+27027 a \,b^{5} e^{6} x^{5}+3003 b^{6} d \,e^{5} x^{5}+61425 a^{2} b^{4} e^{6} x^{4}+12285 a \,b^{5} d \,e^{5} x^{4}+1365 b^{6} d^{2} e^{4} x^{4}+75075 a^{3} b^{3} e^{6} x^{3}+20475 a^{2} b^{4} d \,e^{5} x^{3}+4095 a \,b^{5} d^{2} e^{4} x^{3}+455 b^{6} d^{3} e^{3} x^{3}+51975 a^{4} b^{2} e^{6} x^{2}+17325 a^{3} b^{3} d \,e^{5} x^{2}+4725 a^{2} b^{4} d^{2} e^{4} x^{2}+945 a \,b^{5} d^{3} e^{3} x^{2}+105 b^{6} d^{4} e^{2} x^{2}+19305 a^{5} b \,e^{6} x +7425 a^{4} b^{2} d \,e^{5} x +2475 a^{3} b^{3} d^{2} e^{4} x +675 a^{2} b^{4} d^{3} e^{3} x +135 a \,b^{5} d^{4} e^{2} x +15 b^{6} d^{5} e x +3003 a^{6} e^{6}+1287 a^{5} b d \,e^{5}+495 a^{4} b^{2} d^{2} e^{4}+165 a^{3} b^{3} d^{3} e^{3}+45 a^{2} b^{4} d^{4} e^{2}+9 a \,b^{5} d^{5} e +b^{6} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{45045 \left(e x +d \right)^{15} \left(b x +a \right)^{5} e^{7}}"," ",0,"-1/45045/e^7*(5005*b^6*e^6*x^6+27027*a*b^5*e^6*x^5+3003*b^6*d*e^5*x^5+61425*a^2*b^4*e^6*x^4+12285*a*b^5*d*e^5*x^4+1365*b^6*d^2*e^4*x^4+75075*a^3*b^3*e^6*x^3+20475*a^2*b^4*d*e^5*x^3+4095*a*b^5*d^2*e^4*x^3+455*b^6*d^3*e^3*x^3+51975*a^4*b^2*e^6*x^2+17325*a^3*b^3*d*e^5*x^2+4725*a^2*b^4*d^2*e^4*x^2+945*a*b^5*d^3*e^3*x^2+105*b^6*d^4*e^2*x^2+19305*a^5*b*e^6*x+7425*a^4*b^2*d*e^5*x+2475*a^3*b^3*d^2*e^4*x+675*a^2*b^4*d^3*e^3*x+135*a*b^5*d^4*e^2*x+15*b^6*d^5*e*x+3003*a^6*e^6+1287*a^5*b*d*e^5+495*a^4*b^2*d^2*e^4+165*a^3*b^3*d^3*e^3+45*a^2*b^4*d^4*e^2+9*a*b^5*d^5*e+b^6*d^6)*((b*x+a)^2)^(5/2)/(e*x+d)^15/(b*x+a)^5","A"
2014,1,392,271,0.056000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^17,x)","-\frac{\left(8008 b^{6} e^{6} x^{6}+43680 a \,b^{5} e^{6} x^{5}+4368 b^{6} d \,e^{5} x^{5}+100100 a^{2} b^{4} e^{6} x^{4}+18200 a \,b^{5} d \,e^{5} x^{4}+1820 b^{6} d^{2} e^{4} x^{4}+123200 a^{3} b^{3} e^{6} x^{3}+30800 a^{2} b^{4} d \,e^{5} x^{3}+5600 a \,b^{5} d^{2} e^{4} x^{3}+560 b^{6} d^{3} e^{3} x^{3}+85800 a^{4} b^{2} e^{6} x^{2}+26400 a^{3} b^{3} d \,e^{5} x^{2}+6600 a^{2} b^{4} d^{2} e^{4} x^{2}+1200 a \,b^{5} d^{3} e^{3} x^{2}+120 b^{6} d^{4} e^{2} x^{2}+32032 a^{5} b \,e^{6} x +11440 a^{4} b^{2} d \,e^{5} x +3520 a^{3} b^{3} d^{2} e^{4} x +880 a^{2} b^{4} d^{3} e^{3} x +160 a \,b^{5} d^{4} e^{2} x +16 b^{6} d^{5} e x +5005 a^{6} e^{6}+2002 a^{5} b d \,e^{5}+715 a^{4} b^{2} d^{2} e^{4}+220 a^{3} b^{3} d^{3} e^{3}+55 a^{2} b^{4} d^{4} e^{2}+10 a \,b^{5} d^{5} e +b^{6} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{80080 \left(e x +d \right)^{16} \left(b x +a \right)^{5} e^{7}}"," ",0,"-1/80080/e^7*(8008*b^6*e^6*x^6+43680*a*b^5*e^6*x^5+4368*b^6*d*e^5*x^5+100100*a^2*b^4*e^6*x^4+18200*a*b^5*d*e^5*x^4+1820*b^6*d^2*e^4*x^4+123200*a^3*b^3*e^6*x^3+30800*a^2*b^4*d*e^5*x^3+5600*a*b^5*d^2*e^4*x^3+560*b^6*d^3*e^3*x^3+85800*a^4*b^2*e^6*x^2+26400*a^3*b^3*d*e^5*x^2+6600*a^2*b^4*d^2*e^4*x^2+1200*a*b^5*d^3*e^3*x^2+120*b^6*d^4*e^2*x^2+32032*a^5*b*e^6*x+11440*a^4*b^2*d*e^5*x+3520*a^3*b^3*d^2*e^4*x+880*a^2*b^4*d^3*e^3*x+160*a*b^5*d^4*e^2*x+16*b^6*d^5*e*x+5005*a^6*e^6+2002*a^5*b*d*e^5+715*a^4*b^2*d^2*e^4+220*a^3*b^3*d^3*e^3+55*a^2*b^4*d^4*e^2+10*a*b^5*d^5*e+b^6*d^6)*((b*x+a)^2)^(5/2)/(e*x+d)^16/(b*x+a)^5","A"
2015,1,58,26,0.050000," ","int((b*x+a)*(e*x+d)^4/((b*x+a)^2)^(1/2),x)","\frac{\left(e^{4} x^{4}+5 d \,e^{3} x^{3}+10 d^{2} e^{2} x^{2}+10 d^{3} e x +5 d^{4}\right) \left(b x +a \right) x}{5 \sqrt{\left(b x +a \right)^{2}}}"," ",0,"1/5*x*(e^4*x^4+5*d*e^3*x^3+10*d^2*e^2*x^2+10*d^3*e*x+5*d^4)*(b*x+a)/((b*x+a)^2)^(1/2)","B"
2016,1,47,26,0.051000," ","int((b*x+a)*(e*x+d)^3/((b*x+a)^2)^(1/2),x)","\frac{\left(e^{3} x^{3}+4 d \,e^{2} x^{2}+6 d^{2} e x +4 d^{3}\right) \left(b x +a \right) x}{4 \sqrt{\left(b x +a \right)^{2}}}"," ",0,"1/4*x*(e^3*x^3+4*d*e^2*x^2+6*d^2*e*x+4*d^3)*(b*x+a)/((b*x+a)^2)^(1/2)","A"
2017,1,36,26,0.040000," ","int((b*x+a)*(e*x+d)^2/((b*x+a)^2)^(1/2),x)","\frac{\left(e^{2} x^{2}+3 d e x +3 d^{2}\right) \left(b x +a \right) x}{3 \sqrt{\left(b x +a \right)^{2}}}"," ",0,"1/3*x*(e^2*x^2+3*d*e*x+3*d^2)*(b*x+a)/((b*x+a)^2)^(1/2)","A"
2018,1,25,38,0.048000," ","int((b*x+a)*(e*x+d)/((b*x+a)^2)^(1/2),x)","\frac{\left(e x +2 d \right) \left(b x +a \right) x}{2 \sqrt{\left(b x +a \right)^{2}}}"," ",0,"1/2*x*(e*x+2*d)*(b*x+a)/((b*x+a)^2)^(1/2)","A"
2019,1,17,13,0.048000," ","int((b*x+a)/((b*x+a)^2)^(1/2),x)","\frac{\left(b x +a \right) x}{\sqrt{\left(b x +a \right)^{2}}}"," ",0,"(b*x+a)/((b*x+a)^2)^(1/2)*x","A"
2020,1,25,24,0.049000," ","int((b*x+a)/(e*x+d)/((b*x+a)^2)^(1/2),x)","\frac{\left(b x +a \right) \ln \left(e x +d \right)}{\sqrt{\left(b x +a \right)^{2}}\, e}"," ",0,"(b*x+a)*ln(e*x+d)/e/((b*x+a)^2)^(1/2)","A"
2021,1,27,27,0.047000," ","int((b*x+a)/(e*x+d)^2/((b*x+a)^2)^(1/2),x)","-\frac{b x +a}{\left(e x +d \right) \sqrt{\left(b x +a \right)^{2}}\, e}"," ",0,"-1/(e*x+d)/e*(b*x+a)/((b*x+a)^2)^(1/2)","A"
2022,1,27,29,0.049000," ","int((b*x+a)/(e*x+d)^3/((b*x+a)^2)^(1/2),x)","-\frac{b x +a}{2 \left(e x +d \right)^{2} \sqrt{\left(b x +a \right)^{2}}\, e}"," ",0,"-1/2/(e*x+d)^2/e*(b*x+a)/((b*x+a)^2)^(1/2)","A"
2023,1,27,29,0.047000," ","int((b*x+a)/(e*x+d)^4/((b*x+a)^2)^(1/2),x)","-\frac{b x +a}{3 \left(e x +d \right)^{3} \sqrt{\left(b x +a \right)^{2}}\, e}"," ",0,"-1/3/(e*x+d)^3/e*(b*x+a)/((b*x+a)^2)^(1/2)","A"
2024,1,27,29,0.054000," ","int((b*x+a)/(e*x+d)^5/((b*x+a)^2)^(1/2),x)","-\frac{b x +a}{4 \left(e x +d \right)^{4} \sqrt{\left(b x +a \right)^{2}}\, e}"," ",0,"-1/4/(e*x+d)^4/e*(b*x+a)/((b*x+a)^2)^(1/2)","A"
2025,1,321,153,0.071000," ","int((b*x+a)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","-\frac{\left(-b^{4} e^{4} x^{4}+2 a \,b^{3} e^{4} x^{3}-6 b^{4} d \,e^{3} x^{3}+12 a^{3} b \,e^{4} x \ln \left(b x +a \right)-36 a^{2} b^{2} d \,e^{3} x \ln \left(b x +a \right)-6 a^{2} b^{2} e^{4} x^{2}+36 a \,b^{3} d^{2} e^{2} x \ln \left(b x +a \right)+18 a \,b^{3} d \,e^{3} x^{2}-12 b^{4} d^{3} e x \ln \left(b x +a \right)-18 b^{4} d^{2} e^{2} x^{2}+12 a^{4} e^{4} \ln \left(b x +a \right)-36 a^{3} b d \,e^{3} \ln \left(b x +a \right)-9 a^{3} b \,e^{4} x +36 a^{2} b^{2} d^{2} e^{2} \ln \left(b x +a \right)+24 a^{2} b^{2} d \,e^{3} x -12 a \,b^{3} d^{3} e \ln \left(b x +a \right)-18 a \,b^{3} d^{2} e^{2} x +3 a^{4} e^{4}-12 a^{3} b d \,e^{3}+18 a^{2} b^{2} d^{2} e^{2}-12 a \,b^{3} d^{3} e +3 b^{4} d^{4}\right) \left(b x +a \right)^{2}}{3 \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b^{5}}"," ",0,"-1/3*(-b^4*e^4*x^4+2*a*b^3*e^4*x^3-6*b^4*d*e^3*x^3+12*ln(b*x+a)*x*a^3*b*e^4-36*ln(b*x+a)*x*a^2*b^2*d*e^3+36*ln(b*x+a)*x*a*b^3*d^2*e^2-12*ln(b*x+a)*x*b^4*d^3*e-6*a^2*b^2*e^4*x^2+18*a*b^3*d*e^3*x^2-18*b^4*d^2*e^2*x^2+12*ln(b*x+a)*a^4*e^4-36*ln(b*x+a)*a^3*b*d*e^3+36*ln(b*x+a)*a^2*b^2*d^2*e^2-12*ln(b*x+a)*a*b^3*d^3*e-9*a^3*b*e^4*x+24*a^2*b^2*d*e^3*x-18*a*b^3*d^2*e^2*x+3*a^4*e^4-12*a^3*b*d*e^3+18*a^2*b^2*d^2*e^2-12*a*b^3*d^3*e+3*b^4*d^4)*(b*x+a)^2/b^5/((b*x+a)^2)^(3/2)","B"
2026,1,209,116,0.068000," ","int((b*x+a)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(b^{3} e^{3} x^{3}+6 a^{2} b \,e^{3} x \ln \left(b x +a \right)-12 a \,b^{2} d \,e^{2} x \ln \left(b x +a \right)-3 a \,b^{2} e^{3} x^{2}+6 b^{3} d^{2} e x \ln \left(b x +a \right)+6 b^{3} d \,e^{2} x^{2}+6 a^{3} e^{3} \ln \left(b x +a \right)-12 a^{2} b d \,e^{2} \ln \left(b x +a \right)-4 a^{2} b \,e^{3} x +6 a \,b^{2} d^{2} e \ln \left(b x +a \right)+6 a \,b^{2} d \,e^{2} x +2 a^{3} e^{3}-6 a^{2} b d \,e^{2}+6 a \,b^{2} d^{2} e -2 b^{3} d^{3}\right) \left(b x +a \right)^{2}}{2 \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b^{4}}"," ",0,"1/2*(b^3*e^3*x^3+6*ln(b*x+a)*x*a^2*b*e^3-12*ln(b*x+a)*x*a*b^2*d*e^2+6*ln(b*x+a)*x*b^3*d^2*e-3*a*b^2*e^3*x^2+6*b^3*d*e^2*x^2+6*a^3*e^3*ln(b*x+a)-12*a^2*b*d*e^2*ln(b*x+a)+6*a*b^2*d^2*e*ln(b*x+a)-4*a^2*b*e^3*x+6*a*b^2*d*e^2*x+2*a^3*e^3-6*a^2*b*d*e^2+6*a*b^2*d^2*e-2*b^3*d^3)*(b*x+a)^2/b^4/((b*x+a)^2)^(3/2)","A"
2027,1,116,73,0.066000," ","int((b*x+a)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","-\frac{\left(2 a b \,e^{2} x \ln \left(b x +a \right)-2 b^{2} d e x \ln \left(b x +a \right)-b^{2} e^{2} x^{2}+2 a^{2} e^{2} \ln \left(b x +a \right)-2 a b d e \ln \left(b x +a \right)-a b \,e^{2} x +a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right) \left(b x +a \right)^{2}}{\left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b^{3}}"," ",0,"-(2*ln(b*x+a)*x*a*b*e^2-2*ln(b*x+a)*x*b^2*d*e-b^2*e^2*x^2+2*ln(b*x+a)*a^2*e^2-2*ln(b*x+a)*a*b*d*e-a*b*e^2*x+a^2*e^2-2*a*b*d*e+b^2*d^2)*(b*x+a)^2/b^3/((b*x+a)^2)^(3/2)","A"
2028,1,48,47,0.059000," ","int((b*x+a)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(b e x \ln \left(b x +a \right)+a e \ln \left(b x +a \right)+a e -b d \right) \left(b x +a \right)^{2}}{\left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b^{2}}"," ",0,"(ln(b*x+a)*x*b*e+ln(b*x+a)*a*e+a*e-b*d)*(b*x+a)^2/b^2/((b*x+a)^2)^(3/2)","A"
2029,1,22,14,0.042000," ","int((b*x+a)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","-\frac{\left(b x +a \right)^{2}}{\left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b}"," ",0,"-(b*x+a)^2/b/((b*x+a)^2)^(3/2)","A"
2030,1,77,87,0.065000," ","int((b*x+a)/(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","-\frac{\left(b e x \ln \left(b x +a \right)-b e x \ln \left(e x +d \right)+a e \ln \left(b x +a \right)-a e \ln \left(e x +d \right)-a e +b d \right) \left(b x +a \right)^{2}}{\left(a e -b d \right)^{2} \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}"," ",0,"-(b*e*x*ln(b*x+a)-ln(e*x+d)*x*b*e+a*e*ln(b*x+a)-ln(e*x+d)*a*e-a*e+b*d)*(b*x+a)^2/(a*e-b*d)^2/((b*x+a)^2)^(3/2)","A"
2031,1,181,125,0.087000," ","int((b*x+a)/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(2 b^{2} e^{2} x^{2} \ln \left(b x +a \right)-2 b^{2} e^{2} x^{2} \ln \left(e x +d \right)+2 a b \,e^{2} x \ln \left(b x +a \right)-2 a b \,e^{2} x \ln \left(e x +d \right)+2 b^{2} d e x \ln \left(b x +a \right)-2 b^{2} d e x \ln \left(e x +d \right)+2 a b d e \ln \left(b x +a \right)-2 a b d e \ln \left(e x +d \right)-2 a b \,e^{2} x +2 b^{2} d e x -a^{2} e^{2}+b^{2} d^{2}\right) \left(b x +a \right)^{2}}{\left(e x +d \right) \left(a e -b d \right)^{3} \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}"," ",0,"(2*ln(b*x+a)*x^2*b^2*e^2-2*ln(e*x+d)*x^2*b^2*e^2+2*a*b*e^2*x*ln(b*x+a)+2*b^2*d*e*x*ln(b*x+a)-2*ln(e*x+d)*x*a*b*e^2-2*ln(e*x+d)*x*b^2*d*e+2*a*b*d*e*ln(b*x+a)-2*ln(e*x+d)*a*b*d*e-2*a*b*e^2*x+2*b^2*d*e*x-a^2*e^2+b^2*d^2)*(b*x+a)^2/(e*x+d)/(a*e-b*d)^3/((b*x+a)^2)^(3/2)","A"
2032,1,331,166,0.069000," ","int((b*x+a)/(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","-\frac{\left(6 b^{3} e^{3} x^{3} \ln \left(b x +a \right)-6 b^{3} e^{3} x^{3} \ln \left(e x +d \right)+6 a \,b^{2} e^{3} x^{2} \ln \left(b x +a \right)-6 a \,b^{2} e^{3} x^{2} \ln \left(e x +d \right)+12 b^{3} d \,e^{2} x^{2} \ln \left(b x +a \right)-12 b^{3} d \,e^{2} x^{2} \ln \left(e x +d \right)+12 a \,b^{2} d \,e^{2} x \ln \left(b x +a \right)-12 a \,b^{2} d \,e^{2} x \ln \left(e x +d \right)-6 a \,b^{2} e^{3} x^{2}+6 b^{3} d^{2} e x \ln \left(b x +a \right)-6 b^{3} d^{2} e x \ln \left(e x +d \right)+6 b^{3} d \,e^{2} x^{2}-3 a^{2} b \,e^{3} x +6 a \,b^{2} d^{2} e \ln \left(b x +a \right)-6 a \,b^{2} d^{2} e \ln \left(e x +d \right)-6 a \,b^{2} d \,e^{2} x +9 b^{3} d^{2} e x +a^{3} e^{3}-6 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e +2 b^{3} d^{3}\right) \left(b x +a \right)^{2}}{2 \left(e x +d \right)^{2} \left(a e -b d \right)^{4} \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}"," ",0,"-1/2*(6*ln(b*x+a)*x^3*b^3*e^3-6*ln(e*x+d)*x^3*b^3*e^3+6*ln(b*x+a)*x^2*a*b^2*e^3+12*ln(b*x+a)*x^2*b^3*d*e^2-6*ln(e*x+d)*x^2*a*b^2*e^3-12*ln(e*x+d)*x^2*b^3*d*e^2+12*a*b^2*d*e^2*x*ln(b*x+a)+6*b^3*d^2*e*x*ln(b*x+a)-12*ln(e*x+d)*x*a*b^2*d*e^2-6*ln(e*x+d)*x*b^3*d^2*e-6*a*b^2*e^3*x^2+6*b^3*d*e^2*x^2+6*a*b^2*d^2*e*ln(b*x+a)-6*ln(e*x+d)*a*b^2*d^2*e-3*a^2*b*e^3*x-6*a*b^2*d*e^2*x+9*b^3*d^2*e*x+a^3*e^3-6*a^2*b*d*e^2+3*a*b^2*d^2*e+2*b^3*d^3)*(b*x+a)^2/(e*x+d)^2/(a*e-b*d)^4/((b*x+a)^2)^(3/2)","A"
2033,1,495,185,0.061000," ","int((b*x+a)*(e*x+d)^5/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(3 b^{5} e^{5} x^{5}+60 a^{2} b^{3} e^{5} x^{3} \ln \left(b x +a \right)-120 a \,b^{4} d \,e^{4} x^{3} \ln \left(b x +a \right)-15 a \,b^{4} e^{5} x^{4}+60 b^{5} d^{2} e^{3} x^{3} \ln \left(b x +a \right)+30 b^{5} d \,e^{4} x^{4}+180 a^{3} b^{2} e^{5} x^{2} \ln \left(b x +a \right)-360 a^{2} b^{3} d \,e^{4} x^{2} \ln \left(b x +a \right)-63 a^{2} b^{3} e^{5} x^{3}+180 a \,b^{4} d^{2} e^{3} x^{2} \ln \left(b x +a \right)+90 a \,b^{4} d \,e^{4} x^{3}+180 a^{4} b \,e^{5} x \ln \left(b x +a \right)-360 a^{3} b^{2} d \,e^{4} x \ln \left(b x +a \right)-9 a^{3} b^{2} e^{5} x^{2}+180 a^{2} b^{3} d^{2} e^{3} x \ln \left(b x +a \right)-90 a^{2} b^{3} d \,e^{4} x^{2}+180 a \,b^{4} d^{2} e^{3} x^{2}-60 b^{5} d^{3} e^{2} x^{2}+60 a^{5} e^{5} \ln \left(b x +a \right)-120 a^{4} b d \,e^{4} \ln \left(b x +a \right)+81 a^{4} b \,e^{5} x +60 a^{3} b^{2} d^{2} e^{3} \ln \left(b x +a \right)-270 a^{3} b^{2} d \,e^{4} x +270 a^{2} b^{3} d^{2} e^{3} x -60 a \,b^{4} d^{3} e^{2} x -15 b^{5} d^{4} e x +47 a^{5} e^{5}-130 a^{4} b d \,e^{4}+110 a^{3} b^{2} d^{2} e^{3}-20 a^{2} b^{3} d^{3} e^{2}-5 a \,b^{4} d^{4} e -2 b^{5} d^{5}\right) \left(b x +a \right)^{2}}{6 \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{6}}"," ",0,"1/6*(-130*a^4*b*d*e^4+110*a^3*b^2*d^2*e^3-20*a^2*b^3*d^3*e^2-5*a*b^4*d^4*e+180*ln(b*x+a)*x^2*a*b^4*d^2*e^3-360*ln(b*x+a)*x*a^3*b^2*d*e^4-360*ln(b*x+a)*x^2*a^2*b^3*d*e^4-120*ln(b*x+a)*x^3*a*b^4*d*e^4+180*ln(b*x+a)*x*a^2*b^3*d^2*e^3+47*a^5*e^5+3*x^5*b^5*e^5-60*x^2*b^5*d^3*e^2-9*x^2*a^3*b^2*e^5-63*x^3*a^2*b^3*e^5-15*x^4*a*b^4*e^5+30*x^4*b^5*d*e^4-15*x*b^5*d^4*e+81*x*a^4*b*e^5-2*b^5*d^5+270*x*a^2*b^3*d^2*e^3-60*x*a*b^4*d^3*e^2+60*ln(b*x+a)*a^5*e^5+180*ln(b*x+a)*x*a^4*b*e^5-120*ln(b*x+a)*a^4*b*d*e^4-90*x^2*a^2*b^3*d*e^4-270*x*a^3*b^2*d*e^4+90*x^3*a*b^4*d*e^4+60*ln(b*x+a)*x^3*a^2*b^3*e^5+60*ln(b*x+a)*x^3*b^5*d^2*e^3+180*ln(b*x+a)*x^2*a^3*b^2*e^5+60*ln(b*x+a)*a^3*b^2*d^2*e^3+180*x^2*a*b^4*d^2*e^3)*(b*x+a)^2/b^6/((b*x+a)^2)^(5/2)","B"
2034,1,322,149,0.069000," ","int((b*x+a)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(12 a \,b^{3} e^{4} x^{3} \ln \left(b x +a \right)-12 b^{4} d \,e^{3} x^{3} \ln \left(b x +a \right)-3 b^{4} e^{4} x^{4}+36 a^{2} b^{2} e^{4} x^{2} \ln \left(b x +a \right)-36 a \,b^{3} d \,e^{3} x^{2} \ln \left(b x +a \right)-9 a \,b^{3} e^{4} x^{3}+36 a^{3} b \,e^{4} x \ln \left(b x +a \right)-36 a^{2} b^{2} d \,e^{3} x \ln \left(b x +a \right)+9 a^{2} b^{2} e^{4} x^{2}-36 a \,b^{3} d \,e^{3} x^{2}+18 b^{4} d^{2} e^{2} x^{2}+12 a^{4} e^{4} \ln \left(b x +a \right)-12 a^{3} b d \,e^{3} \ln \left(b x +a \right)+27 a^{3} b \,e^{4} x -54 a^{2} b^{2} d \,e^{3} x +18 a \,b^{3} d^{2} e^{2} x +6 b^{4} d^{3} e x +13 a^{4} e^{4}-22 a^{3} b d \,e^{3}+6 a^{2} b^{2} d^{2} e^{2}+2 a \,b^{3} d^{3} e +b^{4} d^{4}\right) \left(b x +a \right)^{2}}{3 \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{5}}"," ",0,"-1/3*(12*ln(b*x+a)*x^3*a*b^3*e^4-12*ln(b*x+a)*x^3*b^4*d*e^3-3*b^4*e^4*x^4+36*ln(b*x+a)*x^2*a^2*b^2*e^4-36*ln(b*x+a)*x^2*a*b^3*d*e^3-9*a*b^3*e^4*x^3+36*a^3*b*e^4*x*ln(b*x+a)-36*a^2*b^2*d*e^3*x*ln(b*x+a)+9*a^2*b^2*e^4*x^2-36*a*b^3*d*e^3*x^2+18*b^4*d^2*e^2*x^2+12*a^4*e^4*ln(b*x+a)-12*a^3*b*d*e^3*ln(b*x+a)+27*a^3*b*e^4*x-54*a^2*b^2*d*e^3*x+18*a*b^3*d^2*e^2*x+6*b^4*d^3*e*x+13*a^4*e^4-22*a^3*b*d*e^3+6*a^2*b^2*d^2*e^2+2*a*b^3*d^3*e+b^4*d^4)*(b*x+a)^2/b^5/((b*x+a)^2)^(5/2)","B"
2035,1,179,115,0.059000," ","int((b*x+a)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(6 b^{3} e^{3} x^{3} \ln \left(b x +a \right)+18 a \,b^{2} e^{3} x^{2} \ln \left(b x +a \right)+18 a^{2} b \,e^{3} x \ln \left(b x +a \right)+18 a \,b^{2} e^{3} x^{2}-18 b^{3} d \,e^{2} x^{2}+6 a^{3} e^{3} \ln \left(b x +a \right)+27 a^{2} b \,e^{3} x -18 a \,b^{2} d \,e^{2} x -9 b^{3} d^{2} e x +11 a^{3} e^{3}-6 a^{2} b d \,e^{2}-3 a \,b^{2} d^{2} e -2 b^{3} d^{3}\right) \left(b x +a \right)^{2}}{6 \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{4}}"," ",0,"1/6*(6*b^3*e^3*x^3*ln(b*x+a)+18*a*b^2*e^3*x^2*ln(b*x+a)+18*a^2*b*e^3*x*ln(b*x+a)+18*a*b^2*e^3*x^2-18*b^3*d*e^2*x^2+6*a^3*e^3*ln(b*x+a)+27*a^2*b*e^3*x-18*a*b^2*d*e^2*x-9*b^3*d^2*e*x+11*a^3*e^3-6*a^2*b*d*e^2-3*a*b^2*d^2*e-2*b^3*d^3)*(b*x+a)^2/b^4/((b*x+a)^2)^(5/2)","A"
2036,1,69,37,0.050000," ","int((b*x+a)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(b x +a \right)^{2} \left(3 b^{2} e^{2} x^{2}+3 a b \,e^{2} x +3 b^{2} d e x +a^{2} e^{2}+a b d e +b^{2} d^{2}\right)}{3 \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{3}}"," ",0,"-1/3*(b*x+a)^2*(3*b^2*e^2*x^2+3*a*b*e^2*x+3*b^2*d*e*x+a^2*e^2+a*b*d*e+b^2*d^2)/b^3/((b*x+a)^2)^(5/2)","A"
2037,1,35,54,0.055000," ","int((b*x+a)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(b x +a \right)^{2} \left(3 b e x +a e +2 b d \right)}{6 \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{2}}"," ",0,"-1/6*(b*x+a)^2/b^2*(3*b*e*x+a*e+2*b*d)/((b*x+a)^2)^(5/2)","A"
2038,1,22,23,0.048000," ","int((b*x+a)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(b x +a \right)^{2}}{3 \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b}"," ",0,"-1/3*(b*x+a)^2/b/((b*x+a)^2)^(5/2)","A"
2039,1,251,151,0.065000," ","int((b*x+a)/(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(6 b^{3} e^{3} x^{3} \ln \left(b x +a \right)-6 b^{3} e^{3} x^{3} \ln \left(e x +d \right)+18 a \,b^{2} e^{3} x^{2} \ln \left(b x +a \right)-18 a \,b^{2} e^{3} x^{2} \ln \left(e x +d \right)+18 a^{2} b \,e^{3} x \ln \left(b x +a \right)-18 a^{2} b \,e^{3} x \ln \left(e x +d \right)-6 a \,b^{2} e^{3} x^{2}+6 b^{3} d \,e^{2} x^{2}+6 a^{3} e^{3} \ln \left(b x +a \right)-6 a^{3} e^{3} \ln \left(e x +d \right)-15 a^{2} b \,e^{3} x +18 a \,b^{2} d \,e^{2} x -3 b^{3} d^{2} e x -11 a^{3} e^{3}+18 a^{2} b d \,e^{2}-9 a \,b^{2} d^{2} e +2 b^{3} d^{3}\right) \left(b x +a \right)^{2}}{6 \left(a e -b d \right)^{4} \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}"," ",0,"-1/6*(6*b^3*e^3*x^3*ln(b*x+a)-6*b^3*e^3*x^3*ln(e*x+d)+18*a*b^2*e^3*x^2*ln(b*x+a)-18*a*b^2*e^3*x^2*ln(e*x+d)+18*a^2*b*e^3*x*ln(b*x+a)-18*ln(e*x+d)*x*a^2*b*e^3-6*a*b^2*e^3*x^2+6*b^3*d*e^2*x^2+6*a^3*e^3*ln(b*x+a)-6*ln(e*x+d)*a^3*e^3-15*a^2*b*e^3*x+18*a*b^2*d*e^2*x-3*b^3*d^2*e*x-11*a^3*e^3+18*a^2*b*d*e^2-9*a*b^2*d^2*e+2*b^3*d^3)*(b*x+a)^2/(a*e-b*d)^4/((b*x+a)^2)^(5/2)","A"
2040,1,483,192,0.072000," ","int((b*x+a)/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(12 b^{4} e^{4} x^{4} \ln \left(b x +a \right)-12 b^{4} e^{4} x^{4} \ln \left(e x +d \right)+36 a \,b^{3} e^{4} x^{3} \ln \left(b x +a \right)-36 a \,b^{3} e^{4} x^{3} \ln \left(e x +d \right)+12 b^{4} d \,e^{3} x^{3} \ln \left(b x +a \right)-12 b^{4} d \,e^{3} x^{3} \ln \left(e x +d \right)+36 a^{2} b^{2} e^{4} x^{2} \ln \left(b x +a \right)-36 a^{2} b^{2} e^{4} x^{2} \ln \left(e x +d \right)+36 a \,b^{3} d \,e^{3} x^{2} \ln \left(b x +a \right)-36 a \,b^{3} d \,e^{3} x^{2} \ln \left(e x +d \right)-12 a \,b^{3} e^{4} x^{3}+12 b^{4} d \,e^{3} x^{3}+12 a^{3} b \,e^{4} x \ln \left(b x +a \right)-12 a^{3} b \,e^{4} x \ln \left(e x +d \right)+36 a^{2} b^{2} d \,e^{3} x \ln \left(b x +a \right)-36 a^{2} b^{2} d \,e^{3} x \ln \left(e x +d \right)-30 a^{2} b^{2} e^{4} x^{2}+24 a \,b^{3} d \,e^{3} x^{2}+6 b^{4} d^{2} e^{2} x^{2}+12 a^{3} b d \,e^{3} \ln \left(b x +a \right)-12 a^{3} b d \,e^{3} \ln \left(e x +d \right)-22 a^{3} b \,e^{4} x +6 a^{2} b^{2} d \,e^{3} x +18 a \,b^{3} d^{2} e^{2} x -2 b^{4} d^{3} e x -3 a^{4} e^{4}-10 a^{3} b d \,e^{3}+18 a^{2} b^{2} d^{2} e^{2}-6 a \,b^{3} d^{3} e +b^{4} d^{4}\right) \left(b x +a \right)^{2}}{3 \left(e x +d \right) \left(a e -b d \right)^{5} \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}"," ",0,"1/3*(36*a^2*b^2*d*e^3*x*ln(b*x+a)+36*a*b^3*d*e^3*x^2*ln(b*x+a)-6*a*b^3*d^3*e+18*a^2*b^2*d^2*e^2-36*a*b^3*d*e^3*x^2*ln(e*x+d)-36*a^2*b^2*d*e^3*x*ln(e*x+d)-12*b^4*e^4*x^4*ln(e*x+d)+b^4*d^4-3*a^4*e^4+6*b^4*d^2*e^2*x^2-22*a^3*b*e^4*x-2*b^4*d^3*e*x-30*a^2*b^2*e^4*x^2-12*a*b^3*e^4*x^3+12*b^4*d*e^3*x^3-10*a^3*b*d*e^3+6*a^2*b^2*d*e^3*x+18*a*b^3*d^2*e^2*x-12*a^3*b*d*e^3*ln(e*x+d)+36*a*b^3*e^4*x^3*ln(b*x+a)+24*a*b^3*d*e^3*x^2+12*ln(b*x+a)*x^4*b^4*e^4+12*a^3*b*e^4*x*ln(b*x+a)-12*a^3*b*e^4*x*ln(e*x+d)+12*a^3*b*d*e^3*ln(b*x+a)-12*b^4*d*e^3*x^3*ln(e*x+d)+12*b^4*d*e^3*x^3*ln(b*x+a)+36*a^2*b^2*e^4*x^2*ln(b*x+a)-36*a^2*b^2*e^4*x^2*ln(e*x+d)-36*a*b^3*e^4*x^3*ln(e*x+d))*(b*x+a)^2/(e*x+d)/(a*e-b*d)^5/((b*x+a)^2)^(5/2)","B"
2041,1,753,240,0.075000," ","int((b*x+a)/(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(60 b^{5} e^{5} x^{5} \ln \left(b x +a \right)-60 b^{5} e^{5} x^{5} \ln \left(e x +d \right)+180 a \,b^{4} e^{5} x^{4} \ln \left(b x +a \right)-180 a \,b^{4} e^{5} x^{4} \ln \left(e x +d \right)+120 b^{5} d \,e^{4} x^{4} \ln \left(b x +a \right)-120 b^{5} d \,e^{4} x^{4} \ln \left(e x +d \right)+180 a^{2} b^{3} e^{5} x^{3} \ln \left(b x +a \right)-180 a^{2} b^{3} e^{5} x^{3} \ln \left(e x +d \right)+360 a \,b^{4} d \,e^{4} x^{3} \ln \left(b x +a \right)-360 a \,b^{4} d \,e^{4} x^{3} \ln \left(e x +d \right)-60 a \,b^{4} e^{5} x^{4}+60 b^{5} d^{2} e^{3} x^{3} \ln \left(b x +a \right)-60 b^{5} d^{2} e^{3} x^{3} \ln \left(e x +d \right)+60 b^{5} d \,e^{4} x^{4}+60 a^{3} b^{2} e^{5} x^{2} \ln \left(b x +a \right)-60 a^{3} b^{2} e^{5} x^{2} \ln \left(e x +d \right)+360 a^{2} b^{3} d \,e^{4} x^{2} \ln \left(b x +a \right)-360 a^{2} b^{3} d \,e^{4} x^{2} \ln \left(e x +d \right)-150 a^{2} b^{3} e^{5} x^{3}+180 a \,b^{4} d^{2} e^{3} x^{2} \ln \left(b x +a \right)-180 a \,b^{4} d^{2} e^{3} x^{2} \ln \left(e x +d \right)+60 a \,b^{4} d \,e^{4} x^{3}+90 b^{5} d^{2} e^{3} x^{3}+120 a^{3} b^{2} d \,e^{4} x \ln \left(b x +a \right)-120 a^{3} b^{2} d \,e^{4} x \ln \left(e x +d \right)-110 a^{3} b^{2} e^{5} x^{2}+180 a^{2} b^{3} d^{2} e^{3} x \ln \left(b x +a \right)-180 a^{2} b^{3} d^{2} e^{3} x \ln \left(e x +d \right)-120 a^{2} b^{3} d \,e^{4} x^{2}+210 a \,b^{4} d^{2} e^{3} x^{2}+20 b^{5} d^{3} e^{2} x^{2}-15 a^{4} b \,e^{5} x +60 a^{3} b^{2} d^{2} e^{3} \ln \left(b x +a \right)-60 a^{3} b^{2} d^{2} e^{3} \ln \left(e x +d \right)-160 a^{3} b^{2} d \,e^{4} x +120 a^{2} b^{3} d^{2} e^{3} x +60 a \,b^{4} d^{3} e^{2} x -5 b^{5} d^{4} e x +3 a^{5} e^{5}-30 a^{4} b d \,e^{4}-20 a^{3} b^{2} d^{2} e^{3}+60 a^{2} b^{3} d^{3} e^{2}-15 a \,b^{4} d^{4} e +2 b^{5} d^{5}\right) \left(b x +a \right)^{2}}{6 \left(e x +d \right)^{2} \left(a e -b d \right)^{6} \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}"," ",0,"-1/6*(-30*a^4*b*d*e^4-20*a^3*b^2*d^2*e^3+60*a^2*b^3*d^3*e^2-15*a*b^4*d^4*e+180*a*b^4*d^2*e^3*x^2*ln(b*x+a)+120*a^3*b^2*d*e^4*x*ln(b*x+a)+360*a^2*b^3*d*e^4*x^2*ln(b*x+a)+360*a*b^4*d*e^4*x^3*ln(b*x+a)+180*a^2*b^3*d^2*e^3*x*ln(b*x+a)+3*a^5*e^5+90*x^3*b^5*d^2*e^3+20*b^5*d^3*e^2*x^2-110*a^3*b^2*e^5*x^2-150*a^2*b^3*e^5*x^3-60*a*b^4*e^5*x^4+60*b^5*d*e^4*x^4-5*b^5*d^4*e*x-15*a^4*b*e^5*x+2*b^5*d^5-120*ln(e*x+d)*x*a^3*b^2*d*e^4-180*ln(e*x+d)*x*a^2*b^3*d^2*e^3-360*ln(e*x+d)*x^2*a^2*b^3*d*e^4-180*ln(e*x+d)*x^2*a*b^4*d^2*e^3-360*ln(e*x+d)*x^3*a*b^4*d*e^4+120*a^2*b^3*d^2*e^3*x+60*a*b^4*d^3*e^2*x+60*ln(b*x+a)*x^5*b^5*e^5-60*ln(e*x+d)*x^5*b^5*e^5-180*ln(e*x+d)*x^3*a^2*b^3*e^5-60*ln(e*x+d)*x^3*b^5*d^2*e^3-60*ln(e*x+d)*x^2*a^3*b^2*e^5-60*ln(e*x+d)*a^3*b^2*d^2*e^3+180*ln(b*x+a)*x^4*a*b^4*e^5+120*ln(b*x+a)*x^4*b^5*d*e^4-180*ln(e*x+d)*x^4*a*b^4*e^5-120*ln(e*x+d)*x^4*b^5*d*e^4-120*a^2*b^3*d*e^4*x^2-160*a^3*b^2*d*e^4*x+60*a*b^4*d*e^4*x^3+180*a^2*b^3*e^5*x^3*ln(b*x+a)+60*b^5*d^2*e^3*x^3*ln(b*x+a)+60*a^3*b^2*e^5*x^2*ln(b*x+a)+60*a^3*b^2*d^2*e^3*ln(b*x+a)+210*a*b^4*d^2*e^3*x^2)*(b*x+a)^2/(e*x+d)^2/(a*e-b*d)^6/((b*x+a)^2)^(5/2)","B"
2042,1,116,84,0.049000," ","int((b*x+a)*(e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2),x)","\frac{2 \left(e x +d \right)^{\frac{9}{2}} \left(429 b^{3} e^{3} x^{3}+1485 a \,b^{2} e^{3} x^{2}-198 b^{3} d \,e^{2} x^{2}+1755 a^{2} b \,e^{3} x -540 a \,b^{2} d \,e^{2} x +72 b^{3} d^{2} e x +715 a^{3} e^{3}-390 a^{2} b d \,e^{2}+120 a \,b^{2} d^{2} e -16 b^{3} d^{3}\right)}{6435 e^{4}}"," ",0,"2/6435*(e*x+d)^(9/2)*(429*b^3*e^3*x^3+1485*a*b^2*e^3*x^2-198*b^3*d*e^2*x^2+1755*a^2*b*e^3*x-540*a*b^2*d*e^2*x+72*b^3*d^2*e*x+715*a^3*e^3-390*a^2*b*d*e^2+120*a*b^2*d^2*e-16*b^3*d^3)/e^4","A"
2043,1,116,84,0.054000," ","int((b*x+a)*(e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2),x)","\frac{2 \left(e x +d \right)^{\frac{7}{2}} \left(231 b^{3} e^{3} x^{3}+819 a \,b^{2} e^{3} x^{2}-126 b^{3} d \,e^{2} x^{2}+1001 a^{2} b \,e^{3} x -364 a \,b^{2} d \,e^{2} x +56 b^{3} d^{2} e x +429 a^{3} e^{3}-286 a^{2} b d \,e^{2}+104 a \,b^{2} d^{2} e -16 b^{3} d^{3}\right)}{3003 e^{4}}"," ",0,"2/3003*(e*x+d)^(7/2)*(231*b^3*e^3*x^3+819*a*b^2*e^3*x^2-126*b^3*d*e^2*x^2+1001*a^2*b*e^3*x-364*a*b^2*d*e^2*x+56*b^3*d^2*e*x+429*a^3*e^3-286*a^2*b*d*e^2+104*a*b^2*d^2*e-16*b^3*d^3)/e^4","A"
2044,1,116,84,0.059000," ","int((b*x+a)*(e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2),x)","\frac{2 \left(e x +d \right)^{\frac{5}{2}} \left(105 b^{3} e^{3} x^{3}+385 a \,b^{2} e^{3} x^{2}-70 b^{3} d \,e^{2} x^{2}+495 a^{2} b \,e^{3} x -220 a \,b^{2} d \,e^{2} x +40 b^{3} d^{2} e x +231 a^{3} e^{3}-198 a^{2} b d \,e^{2}+88 a \,b^{2} d^{2} e -16 b^{3} d^{3}\right)}{1155 e^{4}}"," ",0,"2/1155*(e*x+d)^(5/2)*(105*b^3*e^3*x^3+385*a*b^2*e^3*x^2-70*b^3*d*e^2*x^2+495*a^2*b*e^3*x-220*a*b^2*d*e^2*x+40*b^3*d^2*e*x+231*a^3*e^3-198*a^2*b*d*e^2+88*a*b^2*d^2*e-16*b^3*d^3)/e^4","A"
2045,1,116,84,0.049000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)*(e*x+d)^(1/2),x)","\frac{2 \left(e x +d \right)^{\frac{3}{2}} \left(35 b^{3} e^{3} x^{3}+135 a \,b^{2} e^{3} x^{2}-30 b^{3} d \,e^{2} x^{2}+189 a^{2} b \,e^{3} x -108 a \,b^{2} d \,e^{2} x +24 b^{3} d^{2} e x +105 a^{3} e^{3}-126 a^{2} b d \,e^{2}+72 a \,b^{2} d^{2} e -16 b^{3} d^{3}\right)}{315 e^{4}}"," ",0,"2/315*(e*x+d)^(3/2)*(35*b^3*e^3*x^3+135*a*b^2*e^3*x^2-30*b^3*d*e^2*x^2+189*a^2*b*e^3*x-108*a*b^2*d*e^2*x+24*b^3*d^2*e*x+105*a^3*e^3-126*a^2*b*d*e^2+72*a*b^2*d^2*e-16*b^3*d^3)/e^4","A"
2046,1,116,84,0.050000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(1/2),x)","\frac{2 \left(5 b^{3} e^{3} x^{3}+21 a \,b^{2} e^{3} x^{2}-6 b^{3} d \,e^{2} x^{2}+35 a^{2} b \,e^{3} x -28 a \,b^{2} d \,e^{2} x +8 b^{3} d^{2} e x +35 a^{3} e^{3}-70 a^{2} b d \,e^{2}+56 a \,b^{2} d^{2} e -16 b^{3} d^{3}\right) \sqrt{e x +d}}{35 e^{4}}"," ",0,"2/35*(5*b^3*e^3*x^3+21*a*b^2*e^3*x^2-6*b^3*d*e^2*x^2+35*a^2*b*e^3*x-28*a*b^2*d*e^2*x+8*b^3*d^2*e*x+35*a^3*e^3-70*a^2*b*d*e^2+56*a*b^2*d^2*e-16*b^3*d^3)*(e*x+d)^(1/2)/e^4","A"
2047,1,116,84,0.049000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(3/2),x)","-\frac{2 \left(-b^{3} e^{3} x^{3}-5 a \,b^{2} e^{3} x^{2}+2 b^{3} d \,e^{2} x^{2}-15 a^{2} b \,e^{3} x +20 a \,b^{2} d \,e^{2} x -8 b^{3} d^{2} e x +5 a^{3} e^{3}-30 a^{2} b d \,e^{2}+40 a \,b^{2} d^{2} e -16 b^{3} d^{3}\right)}{5 \sqrt{e x +d}\, e^{4}}"," ",0,"-2/5*(-b^3*e^3*x^3-5*a*b^2*e^3*x^2+2*b^3*d*e^2*x^2-15*a^2*b*e^3*x+20*a*b^2*d*e^2*x-8*b^3*d^2*e*x+5*a^3*e^3-30*a^2*b*d*e^2+40*a*b^2*d^2*e-16*b^3*d^3)/(e*x+d)^(1/2)/e^4","A"
2048,1,115,84,0.048000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(5/2),x)","-\frac{2 \left(-b^{3} e^{3} x^{3}-9 a \,b^{2} e^{3} x^{2}+6 b^{3} d \,e^{2} x^{2}+9 a^{2} b \,e^{3} x -36 a \,b^{2} d \,e^{2} x +24 b^{3} d^{2} e x +a^{3} e^{3}+6 a^{2} b d \,e^{2}-24 a \,b^{2} d^{2} e +16 b^{3} d^{3}\right)}{3 \left(e x +d \right)^{\frac{3}{2}} e^{4}}"," ",0,"-2/3*(-b^3*e^3*x^3-9*a*b^2*e^3*x^2+6*b^3*d*e^2*x^2+9*a^2*b*e^3*x-36*a*b^2*d*e^2*x+24*b^3*d^2*e*x+a^3*e^3+6*a^2*b*d*e^2-24*a*b^2*d^2*e+16*b^3*d^3)/(e*x+d)^(3/2)/e^4","A"
2049,1,115,84,0.046000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(7/2),x)","-\frac{2 \left(-5 b^{3} e^{3} x^{3}+15 a \,b^{2} e^{3} x^{2}-30 b^{3} d \,e^{2} x^{2}+5 a^{2} b \,e^{3} x +20 a \,b^{2} d \,e^{2} x -40 b^{3} d^{2} e x +a^{3} e^{3}+2 a^{2} b d \,e^{2}+8 a \,b^{2} d^{2} e -16 b^{3} d^{3}\right)}{5 \left(e x +d \right)^{\frac{5}{2}} e^{4}}"," ",0,"-2/5*(-5*b^3*e^3*x^3+15*a*b^2*e^3*x^2-30*b^3*d*e^2*x^2+5*a^2*b*e^3*x+20*a*b^2*d*e^2*x-40*b^3*d^2*e*x+a^3*e^3+2*a^2*b*d*e^2+8*a*b^2*d^2*e-16*b^3*d^3)/(e*x+d)^(5/2)/e^4","A"
2050,1,273,134,0.053000," ","int((b*x+a)*(e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{2 \left(e x +d \right)^{\frac{9}{2}} \left(21879 b^{5} e^{5} x^{5}+122265 a \,b^{4} e^{5} x^{4}-12870 b^{5} d \,e^{4} x^{4}+277134 a^{2} b^{3} e^{5} x^{3}-65208 a \,b^{4} d \,e^{4} x^{3}+6864 b^{5} d^{2} e^{3} x^{3}+319770 a^{3} b^{2} e^{5} x^{2}-127908 a^{2} b^{3} d \,e^{4} x^{2}+30096 a \,b^{4} d^{2} e^{3} x^{2}-3168 b^{5} d^{3} e^{2} x^{2}+188955 a^{4} b \,e^{5} x -116280 a^{3} b^{2} d \,e^{4} x +46512 a^{2} b^{3} d^{2} e^{3} x -10944 a \,b^{4} d^{3} e^{2} x +1152 b^{5} d^{4} e x +46189 a^{5} e^{5}-41990 a^{4} b d \,e^{4}+25840 a^{3} b^{2} d^{2} e^{3}-10336 a^{2} b^{3} d^{3} e^{2}+2432 a \,b^{4} d^{4} e -256 b^{5} d^{5}\right)}{415701 e^{6}}"," ",0,"2/415701*(e*x+d)^(9/2)*(21879*b^5*e^5*x^5+122265*a*b^4*e^5*x^4-12870*b^5*d*e^4*x^4+277134*a^2*b^3*e^5*x^3-65208*a*b^4*d*e^4*x^3+6864*b^5*d^2*e^3*x^3+319770*a^3*b^2*e^5*x^2-127908*a^2*b^3*d*e^4*x^2+30096*a*b^4*d^2*e^3*x^2-3168*b^5*d^3*e^2*x^2+188955*a^4*b*e^5*x-116280*a^3*b^2*d*e^4*x+46512*a^2*b^3*d^2*e^3*x-10944*a*b^4*d^3*e^2*x+1152*b^5*d^4*e*x+46189*a^5*e^5-41990*a^4*b*d*e^4+25840*a^3*b^2*d^2*e^3-10336*a^2*b^3*d^3*e^2+2432*a*b^4*d^4*e-256*b^5*d^5)/e^6","B"
2051,1,273,134,0.051000," ","int((b*x+a)*(e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{2 \left(e x +d \right)^{\frac{7}{2}} \left(9009 b^{5} e^{5} x^{5}+51051 a \,b^{4} e^{5} x^{4}-6006 b^{5} d \,e^{4} x^{4}+117810 a^{2} b^{3} e^{5} x^{3}-31416 a \,b^{4} d \,e^{4} x^{3}+3696 b^{5} d^{2} e^{3} x^{3}+139230 a^{3} b^{2} e^{5} x^{2}-64260 a^{2} b^{3} d \,e^{4} x^{2}+17136 a \,b^{4} d^{2} e^{3} x^{2}-2016 b^{5} d^{3} e^{2} x^{2}+85085 a^{4} b \,e^{5} x -61880 a^{3} b^{2} d \,e^{4} x +28560 a^{2} b^{3} d^{2} e^{3} x -7616 a \,b^{4} d^{3} e^{2} x +896 b^{5} d^{4} e x +21879 a^{5} e^{5}-24310 a^{4} b d \,e^{4}+17680 a^{3} b^{2} d^{2} e^{3}-8160 a^{2} b^{3} d^{3} e^{2}+2176 a \,b^{4} d^{4} e -256 b^{5} d^{5}\right)}{153153 e^{6}}"," ",0,"2/153153*(e*x+d)^(7/2)*(9009*b^5*e^5*x^5+51051*a*b^4*e^5*x^4-6006*b^5*d*e^4*x^4+117810*a^2*b^3*e^5*x^3-31416*a*b^4*d*e^4*x^3+3696*b^5*d^2*e^3*x^3+139230*a^3*b^2*e^5*x^2-64260*a^2*b^3*d*e^4*x^2+17136*a*b^4*d^2*e^3*x^2-2016*b^5*d^3*e^2*x^2+85085*a^4*b*e^5*x-61880*a^3*b^2*d*e^4*x+28560*a^2*b^3*d^2*e^3*x-7616*a*b^4*d^3*e^2*x+896*b^5*d^4*e*x+21879*a^5*e^5-24310*a^4*b*d*e^4+17680*a^3*b^2*d^2*e^3-8160*a^2*b^3*d^3*e^2+2176*a*b^4*d^4*e-256*b^5*d^5)/e^6","B"
2052,1,273,134,0.049000," ","int((b*x+a)*(e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{2 \left(e x +d \right)^{\frac{5}{2}} \left(3003 b^{5} e^{5} x^{5}+17325 a \,b^{4} e^{5} x^{4}-2310 b^{5} d \,e^{4} x^{4}+40950 a^{2} b^{3} e^{5} x^{3}-12600 a \,b^{4} d \,e^{4} x^{3}+1680 b^{5} d^{2} e^{3} x^{3}+50050 a^{3} b^{2} e^{5} x^{2}-27300 a^{2} b^{3} d \,e^{4} x^{2}+8400 a \,b^{4} d^{2} e^{3} x^{2}-1120 b^{5} d^{3} e^{2} x^{2}+32175 a^{4} b \,e^{5} x -28600 a^{3} b^{2} d \,e^{4} x +15600 a^{2} b^{3} d^{2} e^{3} x -4800 a \,b^{4} d^{3} e^{2} x +640 b^{5} d^{4} e x +9009 a^{5} e^{5}-12870 a^{4} b d \,e^{4}+11440 a^{3} b^{2} d^{2} e^{3}-6240 a^{2} b^{3} d^{3} e^{2}+1920 a \,b^{4} d^{4} e -256 b^{5} d^{5}\right)}{45045 e^{6}}"," ",0,"2/45045*(e*x+d)^(5/2)*(3003*b^5*e^5*x^5+17325*a*b^4*e^5*x^4-2310*b^5*d*e^4*x^4+40950*a^2*b^3*e^5*x^3-12600*a*b^4*d*e^4*x^3+1680*b^5*d^2*e^3*x^3+50050*a^3*b^2*e^5*x^2-27300*a^2*b^3*d*e^4*x^2+8400*a*b^4*d^2*e^3*x^2-1120*b^5*d^3*e^2*x^2+32175*a^4*b*e^5*x-28600*a^3*b^2*d*e^4*x+15600*a^2*b^3*d^2*e^3*x-4800*a*b^4*d^3*e^2*x+640*b^5*d^4*e*x+9009*a^5*e^5-12870*a^4*b*d*e^4+11440*a^3*b^2*d^2*e^3-6240*a^2*b^3*d^3*e^2+1920*a*b^4*d^4*e-256*b^5*d^5)/e^6","B"
2053,1,273,134,0.046000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2*(e*x+d)^(1/2),x)","\frac{2 \left(e x +d \right)^{\frac{3}{2}} \left(693 b^{5} e^{5} x^{5}+4095 a \,b^{4} e^{5} x^{4}-630 b^{5} d \,e^{4} x^{4}+10010 a^{2} b^{3} e^{5} x^{3}-3640 a \,b^{4} d \,e^{4} x^{3}+560 b^{5} d^{2} e^{3} x^{3}+12870 a^{3} b^{2} e^{5} x^{2}-8580 a^{2} b^{3} d \,e^{4} x^{2}+3120 a \,b^{4} d^{2} e^{3} x^{2}-480 b^{5} d^{3} e^{2} x^{2}+9009 a^{4} b \,e^{5} x -10296 a^{3} b^{2} d \,e^{4} x +6864 a^{2} b^{3} d^{2} e^{3} x -2496 a \,b^{4} d^{3} e^{2} x +384 b^{5} d^{4} e x +3003 a^{5} e^{5}-6006 a^{4} b d \,e^{4}+6864 a^{3} b^{2} d^{2} e^{3}-4576 a^{2} b^{3} d^{3} e^{2}+1664 a \,b^{4} d^{4} e -256 b^{5} d^{5}\right)}{9009 e^{6}}"," ",0,"2/9009*(e*x+d)^(3/2)*(693*b^5*e^5*x^5+4095*a*b^4*e^5*x^4-630*b^5*d*e^4*x^4+10010*a^2*b^3*e^5*x^3-3640*a*b^4*d*e^4*x^3+560*b^5*d^2*e^3*x^3+12870*a^3*b^2*e^5*x^2-8580*a^2*b^3*d*e^4*x^2+3120*a*b^4*d^2*e^3*x^2-480*b^5*d^3*e^2*x^2+9009*a^4*b*e^5*x-10296*a^3*b^2*d*e^4*x+6864*a^2*b^3*d^2*e^3*x-2496*a*b^4*d^3*e^2*x+384*b^5*d^4*e*x+3003*a^5*e^5-6006*a^4*b*d*e^4+6864*a^3*b^2*d^2*e^3-4576*a^2*b^3*d^3*e^2+1664*a*b^4*d^4*e-256*b^5*d^5)/e^6","B"
2054,1,273,134,0.044000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(1/2),x)","\frac{2 \left(63 b^{5} e^{5} x^{5}+385 a \,b^{4} e^{5} x^{4}-70 b^{5} d \,e^{4} x^{4}+990 a^{2} b^{3} e^{5} x^{3}-440 a \,b^{4} d \,e^{4} x^{3}+80 b^{5} d^{2} e^{3} x^{3}+1386 a^{3} b^{2} e^{5} x^{2}-1188 a^{2} b^{3} d \,e^{4} x^{2}+528 a \,b^{4} d^{2} e^{3} x^{2}-96 b^{5} d^{3} e^{2} x^{2}+1155 a^{4} b \,e^{5} x -1848 a^{3} b^{2} d \,e^{4} x +1584 a^{2} b^{3} d^{2} e^{3} x -704 a \,b^{4} d^{3} e^{2} x +128 b^{5} d^{4} e x +693 a^{5} e^{5}-2310 a^{4} b d \,e^{4}+3696 a^{3} b^{2} d^{2} e^{3}-3168 a^{2} b^{3} d^{3} e^{2}+1408 a \,b^{4} d^{4} e -256 b^{5} d^{5}\right) \sqrt{e x +d}}{693 e^{6}}"," ",0,"2/693*(63*b^5*e^5*x^5+385*a*b^4*e^5*x^4-70*b^5*d*e^4*x^4+990*a^2*b^3*e^5*x^3-440*a*b^4*d*e^4*x^3+80*b^5*d^2*e^3*x^3+1386*a^3*b^2*e^5*x^2-1188*a^2*b^3*d*e^4*x^2+528*a*b^4*d^2*e^3*x^2-96*b^5*d^3*e^2*x^2+1155*a^4*b*e^5*x-1848*a^3*b^2*d*e^4*x+1584*a^2*b^3*d^2*e^3*x-704*a*b^4*d^3*e^2*x+128*b^5*d^4*e*x+693*a^5*e^5-2310*a^4*b*d*e^4+3696*a^3*b^2*d^2*e^3-3168*a^2*b^3*d^3*e^2+1408*a*b^4*d^4*e-256*b^5*d^5)*(e*x+d)^(1/2)/e^6","B"
2055,1,273,134,0.050000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(3/2),x)","-\frac{2 \left(-7 b^{5} e^{5} x^{5}-45 a \,b^{4} e^{5} x^{4}+10 b^{5} d \,e^{4} x^{4}-126 a^{2} b^{3} e^{5} x^{3}+72 a \,b^{4} d \,e^{4} x^{3}-16 b^{5} d^{2} e^{3} x^{3}-210 a^{3} b^{2} e^{5} x^{2}+252 a^{2} b^{3} d \,e^{4} x^{2}-144 a \,b^{4} d^{2} e^{3} x^{2}+32 b^{5} d^{3} e^{2} x^{2}-315 a^{4} b \,e^{5} x +840 a^{3} b^{2} d \,e^{4} x -1008 a^{2} b^{3} d^{2} e^{3} x +576 a \,b^{4} d^{3} e^{2} x -128 b^{5} d^{4} e x +63 a^{5} e^{5}-630 a^{4} b d \,e^{4}+1680 a^{3} b^{2} d^{2} e^{3}-2016 a^{2} b^{3} d^{3} e^{2}+1152 a \,b^{4} d^{4} e -256 b^{5} d^{5}\right)}{63 \sqrt{e x +d}\, e^{6}}"," ",0,"-2/63*(-7*b^5*e^5*x^5-45*a*b^4*e^5*x^4+10*b^5*d*e^4*x^4-126*a^2*b^3*e^5*x^3+72*a*b^4*d*e^4*x^3-16*b^5*d^2*e^3*x^3-210*a^3*b^2*e^5*x^2+252*a^2*b^3*d*e^4*x^2-144*a*b^4*d^2*e^3*x^2+32*b^5*d^3*e^2*x^2-315*a^4*b*e^5*x+840*a^3*b^2*d*e^4*x-1008*a^2*b^3*d^2*e^3*x+576*a*b^4*d^3*e^2*x-128*b^5*d^4*e*x+63*a^5*e^5-630*a^4*b*d*e^4+1680*a^3*b^2*d^2*e^3-2016*a^2*b^3*d^3*e^2+1152*a*b^4*d^4*e-256*b^5*d^5)/(e*x+d)^(1/2)/e^6","B"
2056,1,273,134,0.058000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(5/2),x)","-\frac{2 \left(-3 b^{5} e^{5} x^{5}-21 a \,b^{4} e^{5} x^{4}+6 b^{5} d \,e^{4} x^{4}-70 a^{2} b^{3} e^{5} x^{3}+56 a \,b^{4} d \,e^{4} x^{3}-16 b^{5} d^{2} e^{3} x^{3}-210 a^{3} b^{2} e^{5} x^{2}+420 a^{2} b^{3} d \,e^{4} x^{2}-336 a \,b^{4} d^{2} e^{3} x^{2}+96 b^{5} d^{3} e^{2} x^{2}+105 a^{4} b \,e^{5} x -840 a^{3} b^{2} d \,e^{4} x +1680 a^{2} b^{3} d^{2} e^{3} x -1344 a \,b^{4} d^{3} e^{2} x +384 b^{5} d^{4} e x +7 a^{5} e^{5}+70 a^{4} b d \,e^{4}-560 a^{3} b^{2} d^{2} e^{3}+1120 a^{2} b^{3} d^{3} e^{2}-896 a \,b^{4} d^{4} e +256 b^{5} d^{5}\right)}{21 \left(e x +d \right)^{\frac{3}{2}} e^{6}}"," ",0,"-2/21*(-3*b^5*e^5*x^5-21*a*b^4*e^5*x^4+6*b^5*d*e^4*x^4-70*a^2*b^3*e^5*x^3+56*a*b^4*d*e^4*x^3-16*b^5*d^2*e^3*x^3-210*a^3*b^2*e^5*x^2+420*a^2*b^3*d*e^4*x^2-336*a*b^4*d^2*e^3*x^2+96*b^5*d^3*e^2*x^2+105*a^4*b*e^5*x-840*a^3*b^2*d*e^4*x+1680*a^2*b^3*d^2*e^3*x-1344*a*b^4*d^3*e^2*x+384*b^5*d^4*e*x+7*a^5*e^5+70*a^4*b*d*e^4-560*a^3*b^2*d^2*e^3+1120*a^2*b^3*d^3*e^2-896*a*b^4*d^4*e+256*b^5*d^5)/(e*x+d)^(3/2)/e^6","B"
2057,1,273,134,0.065000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(7/2),x)","-\frac{2 \left(-3 b^{5} e^{5} x^{5}-25 a \,b^{4} e^{5} x^{4}+10 b^{5} d \,e^{4} x^{4}-150 a^{2} b^{3} e^{5} x^{3}+200 a \,b^{4} d \,e^{4} x^{3}-80 b^{5} d^{2} e^{3} x^{3}+150 a^{3} b^{2} e^{5} x^{2}-900 a^{2} b^{3} d \,e^{4} x^{2}+1200 a \,b^{4} d^{2} e^{3} x^{2}-480 b^{5} d^{3} e^{2} x^{2}+25 a^{4} b \,e^{5} x +200 a^{3} b^{2} d \,e^{4} x -1200 a^{2} b^{3} d^{2} e^{3} x +1600 a \,b^{4} d^{3} e^{2} x -640 b^{5} d^{4} e x +3 a^{5} e^{5}+10 a^{4} b d \,e^{4}+80 a^{3} b^{2} d^{2} e^{3}-480 a^{2} b^{3} d^{3} e^{2}+640 a \,b^{4} d^{4} e -256 b^{5} d^{5}\right)}{15 \left(e x +d \right)^{\frac{5}{2}} e^{6}}"," ",0,"-2/15*(-3*b^5*e^5*x^5-25*a*b^4*e^5*x^4+10*b^5*d*e^4*x^4-150*a^2*b^3*e^5*x^3+200*a*b^4*d*e^4*x^3-80*b^5*d^2*e^3*x^3+150*a^3*b^2*e^5*x^2-900*a^2*b^3*d*e^4*x^2+1200*a*b^4*d^2*e^3*x^2-480*b^5*d^3*e^2*x^2+25*a^4*b*e^5*x+200*a^3*b^2*d*e^4*x-1200*a^2*b^3*d^2*e^3*x+1600*a*b^4*d^3*e^2*x-640*b^5*d^4*e*x+3*a^5*e^5+10*a^4*b*d*e^4+80*a^3*b^2*d^2*e^3-480*a^2*b^3*d^3*e^2+640*a*b^4*d^4*e-256*b^5*d^5)/(e*x+d)^(5/2)/e^6","B"
2058,1,498,184,0.049000," ","int((b*x+a)*(e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{2 \left(e x +d \right)^{\frac{9}{2}} \left(415701 b^{7} x^{7} e^{7}+3187041 a \,b^{6} e^{7} x^{6}-277134 b^{7} d \,e^{6} x^{6}+10567557 a^{2} b^{5} e^{7} x^{5}-2012868 a \,b^{6} d \,e^{6} x^{5}+175032 b^{7} d^{2} e^{5} x^{5}+19684665 a^{3} b^{4} e^{7} x^{4}-6216210 a^{2} b^{5} d \,e^{6} x^{4}+1184040 a \,b^{6} d^{2} e^{5} x^{4}-102960 b^{7} d^{3} e^{4} x^{4}+22309287 a^{4} b^{3} e^{7} x^{3}-10498488 a^{3} b^{4} d \,e^{6} x^{3}+3315312 a^{2} b^{5} d^{2} e^{5} x^{3}-631488 a \,b^{6} d^{3} e^{4} x^{3}+54912 b^{7} d^{4} e^{3} x^{3}+15444891 a^{5} b^{2} e^{7} x^{2}-10296594 a^{4} b^{3} d \,e^{6} x^{2}+4845456 a^{3} b^{4} d^{2} e^{5} x^{2}-1530144 a^{2} b^{5} d^{3} e^{4} x^{2}+291456 a \,b^{6} d^{4} e^{3} x^{2}-25344 b^{7} d^{5} e^{2} x^{2}+6084351 a^{6} b \,e^{7} x -5616324 a^{5} b^{2} d \,e^{6} x +3744216 a^{4} b^{3} d^{2} e^{5} x -1761984 a^{3} b^{4} d^{3} e^{4} x +556416 a^{2} b^{5} d^{4} e^{3} x -105984 a \,b^{6} d^{5} e^{2} x +9216 b^{7} d^{6} e x +1062347 a^{7} e^{7}-1352078 a^{6} b d \,e^{6}+1248072 a^{5} b^{2} d^{2} e^{5}-832048 a^{4} b^{3} d^{3} e^{4}+391552 a^{3} b^{4} d^{4} e^{3}-123648 a^{2} b^{5} d^{5} e^{2}+23552 a \,b^{6} d^{6} e -2048 b^{7} d^{7}\right)}{9561123 e^{8}}"," ",0,"2/9561123*(e*x+d)^(9/2)*(415701*b^7*e^7*x^7+3187041*a*b^6*e^7*x^6-277134*b^7*d*e^6*x^6+10567557*a^2*b^5*e^7*x^5-2012868*a*b^6*d*e^6*x^5+175032*b^7*d^2*e^5*x^5+19684665*a^3*b^4*e^7*x^4-6216210*a^2*b^5*d*e^6*x^4+1184040*a*b^6*d^2*e^5*x^4-102960*b^7*d^3*e^4*x^4+22309287*a^4*b^3*e^7*x^3-10498488*a^3*b^4*d*e^6*x^3+3315312*a^2*b^5*d^2*e^5*x^3-631488*a*b^6*d^3*e^4*x^3+54912*b^7*d^4*e^3*x^3+15444891*a^5*b^2*e^7*x^2-10296594*a^4*b^3*d*e^6*x^2+4845456*a^3*b^4*d^2*e^5*x^2-1530144*a^2*b^5*d^3*e^4*x^2+291456*a*b^6*d^4*e^3*x^2-25344*b^7*d^5*e^2*x^2+6084351*a^6*b*e^7*x-5616324*a^5*b^2*d*e^6*x+3744216*a^4*b^3*d^2*e^5*x-1761984*a^3*b^4*d^3*e^4*x+556416*a^2*b^5*d^4*e^3*x-105984*a*b^6*d^5*e^2*x+9216*b^7*d^6*e*x+1062347*a^7*e^7-1352078*a^6*b*d*e^6+1248072*a^5*b^2*d^2*e^5-832048*a^4*b^3*d^3*e^4+391552*a^3*b^4*d^4*e^3-123648*a^2*b^5*d^5*e^2+23552*a*b^6*d^6*e-2048*b^7*d^7)/e^8","B"
2059,1,498,184,0.046000," ","int((b*x+a)*(e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{2 \left(e x +d \right)^{\frac{7}{2}} \left(138567 b^{7} x^{7} e^{7}+1072071 a \,b^{6} e^{7} x^{6}-102102 b^{7} d \,e^{6} x^{6}+3594591 a^{2} b^{5} e^{7} x^{5}-756756 a \,b^{6} d \,e^{6} x^{5}+72072 b^{7} d^{2} e^{5} x^{5}+6789783 a^{3} b^{4} e^{7} x^{4}-2396394 a^{2} b^{5} d \,e^{6} x^{4}+504504 a \,b^{6} d^{2} e^{5} x^{4}-48048 b^{7} d^{3} e^{4} x^{4}+7834365 a^{4} b^{3} e^{7} x^{3}-4178328 a^{3} b^{4} d \,e^{6} x^{3}+1474704 a^{2} b^{5} d^{2} e^{5} x^{3}-310464 a \,b^{6} d^{3} e^{4} x^{3}+29568 b^{7} d^{4} e^{3} x^{3}+5555277 a^{5} b^{2} e^{7} x^{2}-4273290 a^{4} b^{3} d \,e^{6} x^{2}+2279088 a^{3} b^{4} d^{2} e^{5} x^{2}-804384 a^{2} b^{5} d^{3} e^{4} x^{2}+169344 a \,b^{6} d^{4} e^{3} x^{2}-16128 b^{7} d^{5} e^{2} x^{2}+2263261 a^{6} b \,e^{7} x -2469012 a^{5} b^{2} d \,e^{6} x +1899240 a^{4} b^{3} d^{2} e^{5} x -1012928 a^{3} b^{4} d^{3} e^{4} x +357504 a^{2} b^{5} d^{4} e^{3} x -75264 a \,b^{6} d^{5} e^{2} x +7168 b^{7} d^{6} e x +415701 a^{7} e^{7}-646646 a^{6} b d \,e^{6}+705432 a^{5} b^{2} d^{2} e^{5}-542640 a^{4} b^{3} d^{3} e^{4}+289408 a^{3} b^{4} d^{4} e^{3}-102144 a^{2} b^{5} d^{5} e^{2}+21504 a \,b^{6} d^{6} e -2048 b^{7} d^{7}\right)}{2909907 e^{8}}"," ",0,"2/2909907*(e*x+d)^(7/2)*(138567*b^7*e^7*x^7+1072071*a*b^6*e^7*x^6-102102*b^7*d*e^6*x^6+3594591*a^2*b^5*e^7*x^5-756756*a*b^6*d*e^6*x^5+72072*b^7*d^2*e^5*x^5+6789783*a^3*b^4*e^7*x^4-2396394*a^2*b^5*d*e^6*x^4+504504*a*b^6*d^2*e^5*x^4-48048*b^7*d^3*e^4*x^4+7834365*a^4*b^3*e^7*x^3-4178328*a^3*b^4*d*e^6*x^3+1474704*a^2*b^5*d^2*e^5*x^3-310464*a*b^6*d^3*e^4*x^3+29568*b^7*d^4*e^3*x^3+5555277*a^5*b^2*e^7*x^2-4273290*a^4*b^3*d*e^6*x^2+2279088*a^3*b^4*d^2*e^5*x^2-804384*a^2*b^5*d^3*e^4*x^2+169344*a*b^6*d^4*e^3*x^2-16128*b^7*d^5*e^2*x^2+2263261*a^6*b*e^7*x-2469012*a^5*b^2*d*e^6*x+1899240*a^4*b^3*d^2*e^5*x-1012928*a^3*b^4*d^3*e^4*x+357504*a^2*b^5*d^4*e^3*x-75264*a*b^6*d^5*e^2*x+7168*b^7*d^6*e*x+415701*a^7*e^7-646646*a^6*b*d*e^6+705432*a^5*b^2*d^2*e^5-542640*a^4*b^3*d^3*e^4+289408*a^3*b^4*d^4*e^3-102144*a^2*b^5*d^5*e^2+21504*a*b^6*d^6*e-2048*b^7*d^7)/e^8","B"
2060,1,498,184,0.047000," ","int((b*x+a)*(e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{2 \left(e x +d \right)^{\frac{5}{2}} \left(36465 b^{7} x^{7} e^{7}+285285 a \,b^{6} e^{7} x^{6}-30030 b^{7} d \,e^{6} x^{6}+969969 a^{2} b^{5} e^{7} x^{5}-228228 a \,b^{6} d \,e^{6} x^{5}+24024 b^{7} d^{2} e^{5} x^{5}+1865325 a^{3} b^{4} e^{7} x^{4}-746130 a^{2} b^{5} d \,e^{6} x^{4}+175560 a \,b^{6} d^{2} e^{5} x^{4}-18480 b^{7} d^{3} e^{4} x^{4}+2204475 a^{4} b^{3} e^{7} x^{3}-1356600 a^{3} b^{4} d \,e^{6} x^{3}+542640 a^{2} b^{5} d^{2} e^{5} x^{3}-127680 a \,b^{6} d^{3} e^{4} x^{3}+13440 b^{7} d^{4} e^{3} x^{3}+1616615 a^{5} b^{2} e^{7} x^{2}-1469650 a^{4} b^{3} d \,e^{6} x^{2}+904400 a^{3} b^{4} d^{2} e^{5} x^{2}-361760 a^{2} b^{5} d^{3} e^{4} x^{2}+85120 a \,b^{6} d^{4} e^{3} x^{2}-8960 b^{7} d^{5} e^{2} x^{2}+692835 a^{6} b \,e^{7} x -923780 a^{5} b^{2} d \,e^{6} x +839800 a^{4} b^{3} d^{2} e^{5} x -516800 a^{3} b^{4} d^{3} e^{4} x +206720 a^{2} b^{5} d^{4} e^{3} x -48640 a \,b^{6} d^{5} e^{2} x +5120 b^{7} d^{6} e x +138567 a^{7} e^{7}-277134 a^{6} b d \,e^{6}+369512 a^{5} b^{2} d^{2} e^{5}-335920 a^{4} b^{3} d^{3} e^{4}+206720 a^{3} b^{4} d^{4} e^{3}-82688 a^{2} b^{5} d^{5} e^{2}+19456 a \,b^{6} d^{6} e -2048 b^{7} d^{7}\right)}{692835 e^{8}}"," ",0,"2/692835*(e*x+d)^(5/2)*(36465*b^7*e^7*x^7+285285*a*b^6*e^7*x^6-30030*b^7*d*e^6*x^6+969969*a^2*b^5*e^7*x^5-228228*a*b^6*d*e^6*x^5+24024*b^7*d^2*e^5*x^5+1865325*a^3*b^4*e^7*x^4-746130*a^2*b^5*d*e^6*x^4+175560*a*b^6*d^2*e^5*x^4-18480*b^7*d^3*e^4*x^4+2204475*a^4*b^3*e^7*x^3-1356600*a^3*b^4*d*e^6*x^3+542640*a^2*b^5*d^2*e^5*x^3-127680*a*b^6*d^3*e^4*x^3+13440*b^7*d^4*e^3*x^3+1616615*a^5*b^2*e^7*x^2-1469650*a^4*b^3*d*e^6*x^2+904400*a^3*b^4*d^2*e^5*x^2-361760*a^2*b^5*d^3*e^4*x^2+85120*a*b^6*d^4*e^3*x^2-8960*b^7*d^5*e^2*x^2+692835*a^6*b*e^7*x-923780*a^5*b^2*d*e^6*x+839800*a^4*b^3*d^2*e^5*x-516800*a^3*b^4*d^3*e^4*x+206720*a^2*b^5*d^4*e^3*x-48640*a*b^6*d^5*e^2*x+5120*b^7*d^6*e*x+138567*a^7*e^7-277134*a^6*b*d*e^6+369512*a^5*b^2*d^2*e^5-335920*a^4*b^3*d^3*e^4+206720*a^3*b^4*d^4*e^3-82688*a^2*b^5*d^5*e^2+19456*a*b^6*d^6*e-2048*b^7*d^7)/e^8","B"
2061,1,498,184,0.048000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3*(e*x+d)^(1/2),x)","\frac{2 \left(e x +d \right)^{\frac{3}{2}} \left(6435 b^{7} x^{7} e^{7}+51051 a \,b^{6} e^{7} x^{6}-6006 b^{7} d \,e^{6} x^{6}+176715 a^{2} b^{5} e^{7} x^{5}-47124 a \,b^{6} d \,e^{6} x^{5}+5544 b^{7} d^{2} e^{5} x^{5}+348075 a^{3} b^{4} e^{7} x^{4}-160650 a^{2} b^{5} d \,e^{6} x^{4}+42840 a \,b^{6} d^{2} e^{5} x^{4}-5040 b^{7} d^{3} e^{4} x^{4}+425425 a^{4} b^{3} e^{7} x^{3}-309400 a^{3} b^{4} d \,e^{6} x^{3}+142800 a^{2} b^{5} d^{2} e^{5} x^{3}-38080 a \,b^{6} d^{3} e^{4} x^{3}+4480 b^{7} d^{4} e^{3} x^{3}+328185 a^{5} b^{2} e^{7} x^{2}-364650 a^{4} b^{3} d \,e^{6} x^{2}+265200 a^{3} b^{4} d^{2} e^{5} x^{2}-122400 a^{2} b^{5} d^{3} e^{4} x^{2}+32640 a \,b^{6} d^{4} e^{3} x^{2}-3840 b^{7} d^{5} e^{2} x^{2}+153153 a^{6} b \,e^{7} x -262548 a^{5} b^{2} d \,e^{6} x +291720 a^{4} b^{3} d^{2} e^{5} x -212160 a^{3} b^{4} d^{3} e^{4} x +97920 a^{2} b^{5} d^{4} e^{3} x -26112 a \,b^{6} d^{5} e^{2} x +3072 b^{7} d^{6} e x +36465 a^{7} e^{7}-102102 a^{6} b d \,e^{6}+175032 a^{5} b^{2} d^{2} e^{5}-194480 a^{4} b^{3} d^{3} e^{4}+141440 a^{3} b^{4} d^{4} e^{3}-65280 a^{2} b^{5} d^{5} e^{2}+17408 a \,b^{6} d^{6} e -2048 b^{7} d^{7}\right)}{109395 e^{8}}"," ",0,"2/109395*(e*x+d)^(3/2)*(6435*b^7*e^7*x^7+51051*a*b^6*e^7*x^6-6006*b^7*d*e^6*x^6+176715*a^2*b^5*e^7*x^5-47124*a*b^6*d*e^6*x^5+5544*b^7*d^2*e^5*x^5+348075*a^3*b^4*e^7*x^4-160650*a^2*b^5*d*e^6*x^4+42840*a*b^6*d^2*e^5*x^4-5040*b^7*d^3*e^4*x^4+425425*a^4*b^3*e^7*x^3-309400*a^3*b^4*d*e^6*x^3+142800*a^2*b^5*d^2*e^5*x^3-38080*a*b^6*d^3*e^4*x^3+4480*b^7*d^4*e^3*x^3+328185*a^5*b^2*e^7*x^2-364650*a^4*b^3*d*e^6*x^2+265200*a^3*b^4*d^2*e^5*x^2-122400*a^2*b^5*d^3*e^4*x^2+32640*a*b^6*d^4*e^3*x^2-3840*b^7*d^5*e^2*x^2+153153*a^6*b*e^7*x-262548*a^5*b^2*d*e^6*x+291720*a^4*b^3*d^2*e^5*x-212160*a^3*b^4*d^3*e^4*x+97920*a^2*b^5*d^4*e^3*x-26112*a*b^6*d^5*e^2*x+3072*b^7*d^6*e*x+36465*a^7*e^7-102102*a^6*b*d*e^6+175032*a^5*b^2*d^2*e^5-194480*a^4*b^3*d^3*e^4+141440*a^3*b^4*d^4*e^3-65280*a^2*b^5*d^5*e^2+17408*a*b^6*d^6*e-2048*b^7*d^7)/e^8","B"
2062,1,498,184,0.055000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(1/2),x)","\frac{2 \left(429 b^{7} x^{7} e^{7}+3465 a \,b^{6} e^{7} x^{6}-462 b^{7} d \,e^{6} x^{6}+12285 a^{2} b^{5} e^{7} x^{5}-3780 a \,b^{6} d \,e^{6} x^{5}+504 b^{7} d^{2} e^{5} x^{5}+25025 a^{3} b^{4} e^{7} x^{4}-13650 a^{2} b^{5} d \,e^{6} x^{4}+4200 a \,b^{6} d^{2} e^{5} x^{4}-560 b^{7} d^{3} e^{4} x^{4}+32175 a^{4} b^{3} e^{7} x^{3}-28600 a^{3} b^{4} d \,e^{6} x^{3}+15600 a^{2} b^{5} d^{2} e^{5} x^{3}-4800 a \,b^{6} d^{3} e^{4} x^{3}+640 b^{7} d^{4} e^{3} x^{3}+27027 a^{5} b^{2} e^{7} x^{2}-38610 a^{4} b^{3} d \,e^{6} x^{2}+34320 a^{3} b^{4} d^{2} e^{5} x^{2}-18720 a^{2} b^{5} d^{3} e^{4} x^{2}+5760 a \,b^{6} d^{4} e^{3} x^{2}-768 b^{7} d^{5} e^{2} x^{2}+15015 a^{6} b \,e^{7} x -36036 a^{5} b^{2} d \,e^{6} x +51480 a^{4} b^{3} d^{2} e^{5} x -45760 a^{3} b^{4} d^{3} e^{4} x +24960 a^{2} b^{5} d^{4} e^{3} x -7680 a \,b^{6} d^{5} e^{2} x +1024 b^{7} d^{6} e x +6435 a^{7} e^{7}-30030 a^{6} b d \,e^{6}+72072 a^{5} b^{2} d^{2} e^{5}-102960 a^{4} b^{3} d^{3} e^{4}+91520 a^{3} b^{4} d^{4} e^{3}-49920 a^{2} b^{5} d^{5} e^{2}+15360 a \,b^{6} d^{6} e -2048 b^{7} d^{7}\right) \sqrt{e x +d}}{6435 e^{8}}"," ",0,"2/6435*(429*b^7*e^7*x^7+3465*a*b^6*e^7*x^6-462*b^7*d*e^6*x^6+12285*a^2*b^5*e^7*x^5-3780*a*b^6*d*e^6*x^5+504*b^7*d^2*e^5*x^5+25025*a^3*b^4*e^7*x^4-13650*a^2*b^5*d*e^6*x^4+4200*a*b^6*d^2*e^5*x^4-560*b^7*d^3*e^4*x^4+32175*a^4*b^3*e^7*x^3-28600*a^3*b^4*d*e^6*x^3+15600*a^2*b^5*d^2*e^5*x^3-4800*a*b^6*d^3*e^4*x^3+640*b^7*d^4*e^3*x^3+27027*a^5*b^2*e^7*x^2-38610*a^4*b^3*d*e^6*x^2+34320*a^3*b^4*d^2*e^5*x^2-18720*a^2*b^5*d^3*e^4*x^2+5760*a*b^6*d^4*e^3*x^2-768*b^7*d^5*e^2*x^2+15015*a^6*b*e^7*x-36036*a^5*b^2*d*e^6*x+51480*a^4*b^3*d^2*e^5*x-45760*a^3*b^4*d^3*e^4*x+24960*a^2*b^5*d^4*e^3*x-7680*a*b^6*d^5*e^2*x+1024*b^7*d^6*e*x+6435*a^7*e^7-30030*a^6*b*d*e^6+72072*a^5*b^2*d^2*e^5-102960*a^4*b^3*d^3*e^4+91520*a^3*b^4*d^4*e^3-49920*a^2*b^5*d^5*e^2+15360*a*b^6*d^6*e-2048*b^7*d^7)*(e*x+d)^(1/2)/e^8","B"
2063,1,498,184,0.049000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(3/2),x)","-\frac{2 \left(-33 b^{7} x^{7} e^{7}-273 a \,b^{6} e^{7} x^{6}+42 b^{7} d \,e^{6} x^{6}-1001 a^{2} b^{5} e^{7} x^{5}+364 a \,b^{6} d \,e^{6} x^{5}-56 b^{7} d^{2} e^{5} x^{5}-2145 a^{3} b^{4} e^{7} x^{4}+1430 a^{2} b^{5} d \,e^{6} x^{4}-520 a \,b^{6} d^{2} e^{5} x^{4}+80 b^{7} d^{3} e^{4} x^{4}-3003 a^{4} b^{3} e^{7} x^{3}+3432 a^{3} b^{4} d \,e^{6} x^{3}-2288 a^{2} b^{5} d^{2} e^{5} x^{3}+832 a \,b^{6} d^{3} e^{4} x^{3}-128 b^{7} d^{4} e^{3} x^{3}-3003 a^{5} b^{2} e^{7} x^{2}+6006 a^{4} b^{3} d \,e^{6} x^{2}-6864 a^{3} b^{4} d^{2} e^{5} x^{2}+4576 a^{2} b^{5} d^{3} e^{4} x^{2}-1664 a \,b^{6} d^{4} e^{3} x^{2}+256 b^{7} d^{5} e^{2} x^{2}-3003 a^{6} b \,e^{7} x +12012 a^{5} b^{2} d \,e^{6} x -24024 a^{4} b^{3} d^{2} e^{5} x +27456 a^{3} b^{4} d^{3} e^{4} x -18304 a^{2} b^{5} d^{4} e^{3} x +6656 a \,b^{6} d^{5} e^{2} x -1024 b^{7} d^{6} e x +429 a^{7} e^{7}-6006 a^{6} b d \,e^{6}+24024 a^{5} b^{2} d^{2} e^{5}-48048 a^{4} b^{3} d^{3} e^{4}+54912 a^{3} b^{4} d^{4} e^{3}-36608 a^{2} b^{5} d^{5} e^{2}+13312 a \,b^{6} d^{6} e -2048 b^{7} d^{7}\right)}{429 \sqrt{e x +d}\, e^{8}}"," ",0,"-2/429*(-33*b^7*e^7*x^7-273*a*b^6*e^7*x^6+42*b^7*d*e^6*x^6-1001*a^2*b^5*e^7*x^5+364*a*b^6*d*e^6*x^5-56*b^7*d^2*e^5*x^5-2145*a^3*b^4*e^7*x^4+1430*a^2*b^5*d*e^6*x^4-520*a*b^6*d^2*e^5*x^4+80*b^7*d^3*e^4*x^4-3003*a^4*b^3*e^7*x^3+3432*a^3*b^4*d*e^6*x^3-2288*a^2*b^5*d^2*e^5*x^3+832*a*b^6*d^3*e^4*x^3-128*b^7*d^4*e^3*x^3-3003*a^5*b^2*e^7*x^2+6006*a^4*b^3*d*e^6*x^2-6864*a^3*b^4*d^2*e^5*x^2+4576*a^2*b^5*d^3*e^4*x^2-1664*a*b^6*d^4*e^3*x^2+256*b^7*d^5*e^2*x^2-3003*a^6*b*e^7*x+12012*a^5*b^2*d*e^6*x-24024*a^4*b^3*d^2*e^5*x+27456*a^3*b^4*d^3*e^4*x-18304*a^2*b^5*d^4*e^3*x+6656*a*b^6*d^5*e^2*x-1024*b^7*d^6*e*x+429*a^7*e^7-6006*a^6*b*d*e^6+24024*a^5*b^2*d^2*e^5-48048*a^4*b^3*d^3*e^4+54912*a^3*b^4*d^4*e^3-36608*a^2*b^5*d^5*e^2+13312*a*b^6*d^6*e-2048*b^7*d^7)/(e*x+d)^(1/2)/e^8","B"
2064,1,498,184,0.051000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(5/2),x)","-\frac{2 \left(-9 b^{7} x^{7} e^{7}-77 a \,b^{6} e^{7} x^{6}+14 b^{7} d \,e^{6} x^{6}-297 a^{2} b^{5} e^{7} x^{5}+132 a \,b^{6} d \,e^{6} x^{5}-24 b^{7} d^{2} e^{5} x^{5}-693 a^{3} b^{4} e^{7} x^{4}+594 a^{2} b^{5} d \,e^{6} x^{4}-264 a \,b^{6} d^{2} e^{5} x^{4}+48 b^{7} d^{3} e^{4} x^{4}-1155 a^{4} b^{3} e^{7} x^{3}+1848 a^{3} b^{4} d \,e^{6} x^{3}-1584 a^{2} b^{5} d^{2} e^{5} x^{3}+704 a \,b^{6} d^{3} e^{4} x^{3}-128 b^{7} d^{4} e^{3} x^{3}-2079 a^{5} b^{2} e^{7} x^{2}+6930 a^{4} b^{3} d \,e^{6} x^{2}-11088 a^{3} b^{4} d^{2} e^{5} x^{2}+9504 a^{2} b^{5} d^{3} e^{4} x^{2}-4224 a \,b^{6} d^{4} e^{3} x^{2}+768 b^{7} d^{5} e^{2} x^{2}+693 a^{6} b \,e^{7} x -8316 a^{5} b^{2} d \,e^{6} x +27720 a^{4} b^{3} d^{2} e^{5} x -44352 a^{3} b^{4} d^{3} e^{4} x +38016 a^{2} b^{5} d^{4} e^{3} x -16896 a \,b^{6} d^{5} e^{2} x +3072 b^{7} d^{6} e x +33 a^{7} e^{7}+462 a^{6} b d \,e^{6}-5544 a^{5} b^{2} d^{2} e^{5}+18480 a^{4} b^{3} d^{3} e^{4}-29568 a^{3} b^{4} d^{4} e^{3}+25344 a^{2} b^{5} d^{5} e^{2}-11264 a \,b^{6} d^{6} e +2048 b^{7} d^{7}\right)}{99 \left(e x +d \right)^{\frac{3}{2}} e^{8}}"," ",0,"-2/99*(-9*b^7*e^7*x^7-77*a*b^6*e^7*x^6+14*b^7*d*e^6*x^6-297*a^2*b^5*e^7*x^5+132*a*b^6*d*e^6*x^5-24*b^7*d^2*e^5*x^5-693*a^3*b^4*e^7*x^4+594*a^2*b^5*d*e^6*x^4-264*a*b^6*d^2*e^5*x^4+48*b^7*d^3*e^4*x^4-1155*a^4*b^3*e^7*x^3+1848*a^3*b^4*d*e^6*x^3-1584*a^2*b^5*d^2*e^5*x^3+704*a*b^6*d^3*e^4*x^3-128*b^7*d^4*e^3*x^3-2079*a^5*b^2*e^7*x^2+6930*a^4*b^3*d*e^6*x^2-11088*a^3*b^4*d^2*e^5*x^2+9504*a^2*b^5*d^3*e^4*x^2-4224*a*b^6*d^4*e^3*x^2+768*b^7*d^5*e^2*x^2+693*a^6*b*e^7*x-8316*a^5*b^2*d*e^6*x+27720*a^4*b^3*d^2*e^5*x-44352*a^3*b^4*d^3*e^4*x+38016*a^2*b^5*d^4*e^3*x-16896*a*b^6*d^5*e^2*x+3072*b^7*d^6*e*x+33*a^7*e^7+462*a^6*b*d*e^6-5544*a^5*b^2*d^2*e^5+18480*a^4*b^3*d^3*e^4-29568*a^3*b^4*d^4*e^3+25344*a^2*b^5*d^5*e^2-11264*a*b^6*d^6*e+2048*b^7*d^7)/(e*x+d)^(3/2)/e^8","B"
2065,1,498,184,0.046000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(7/2),x)","-\frac{2 \left(-5 b^{7} x^{7} e^{7}-45 a \,b^{6} e^{7} x^{6}+10 b^{7} d \,e^{6} x^{6}-189 a^{2} b^{5} e^{7} x^{5}+108 a \,b^{6} d \,e^{6} x^{5}-24 b^{7} d^{2} e^{5} x^{5}-525 a^{3} b^{4} e^{7} x^{4}+630 a^{2} b^{5} d \,e^{6} x^{4}-360 a \,b^{6} d^{2} e^{5} x^{4}+80 b^{7} d^{3} e^{4} x^{4}-1575 a^{4} b^{3} e^{7} x^{3}+4200 a^{3} b^{4} d \,e^{6} x^{3}-5040 a^{2} b^{5} d^{2} e^{5} x^{3}+2880 a \,b^{6} d^{3} e^{4} x^{3}-640 b^{7} d^{4} e^{3} x^{3}+945 a^{5} b^{2} e^{7} x^{2}-9450 a^{4} b^{3} d \,e^{6} x^{2}+25200 a^{3} b^{4} d^{2} e^{5} x^{2}-30240 a^{2} b^{5} d^{3} e^{4} x^{2}+17280 a \,b^{6} d^{4} e^{3} x^{2}-3840 b^{7} d^{5} e^{2} x^{2}+105 a^{6} b \,e^{7} x +1260 a^{5} b^{2} d \,e^{6} x -12600 a^{4} b^{3} d^{2} e^{5} x +33600 a^{3} b^{4} d^{3} e^{4} x -40320 a^{2} b^{5} d^{4} e^{3} x +23040 a \,b^{6} d^{5} e^{2} x -5120 b^{7} d^{6} e x +9 a^{7} e^{7}+42 a^{6} b d \,e^{6}+504 a^{5} b^{2} d^{2} e^{5}-5040 a^{4} b^{3} d^{3} e^{4}+13440 a^{3} b^{4} d^{4} e^{3}-16128 a^{2} b^{5} d^{5} e^{2}+9216 a \,b^{6} d^{6} e -2048 b^{7} d^{7}\right)}{45 \left(e x +d \right)^{\frac{5}{2}} e^{8}}"," ",0,"-2/45*(-5*b^7*e^7*x^7-45*a*b^6*e^7*x^6+10*b^7*d*e^6*x^6-189*a^2*b^5*e^7*x^5+108*a*b^6*d*e^6*x^5-24*b^7*d^2*e^5*x^5-525*a^3*b^4*e^7*x^4+630*a^2*b^5*d*e^6*x^4-360*a*b^6*d^2*e^5*x^4+80*b^7*d^3*e^4*x^4-1575*a^4*b^3*e^7*x^3+4200*a^3*b^4*d*e^6*x^3-5040*a^2*b^5*d^2*e^5*x^3+2880*a*b^6*d^3*e^4*x^3-640*b^7*d^4*e^3*x^3+945*a^5*b^2*e^7*x^2-9450*a^4*b^3*d*e^6*x^2+25200*a^3*b^4*d^2*e^5*x^2-30240*a^2*b^5*d^3*e^4*x^2+17280*a*b^6*d^4*e^3*x^2-3840*b^7*d^5*e^2*x^2+105*a^6*b*e^7*x+1260*a^5*b^2*d*e^6*x-12600*a^4*b^3*d^2*e^5*x+33600*a^3*b^4*d^3*e^4*x-40320*a^2*b^5*d^4*e^3*x+23040*a*b^6*d^5*e^2*x-5120*b^7*d^6*e*x+9*a^7*e^7+42*a^6*b*d*e^6+504*a^5*b^2*d^2*e^5-5040*a^4*b^3*d^3*e^4+13440*a^3*b^4*d^4*e^3-16128*a^2*b^5*d^5*e^2+9216*a*b^6*d^6*e-2048*b^7*d^7)/(e*x+d)^(5/2)/e^8","B"
2066,1,380,114,0.055000," ","int((b*x+a)*(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2),x)","\frac{2 a^{4} e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b^{4}}-\frac{8 a^{3} d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b^{3}}+\frac{12 a^{2} d^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b^{2}}-\frac{8 a \,d^{3} e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b}+\frac{2 d^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}}-\frac{2 \sqrt{e x +d}\, a^{3} e^{3}}{b^{4}}+\frac{6 \sqrt{e x +d}\, a^{2} d \,e^{2}}{b^{3}}-\frac{6 \sqrt{e x +d}\, a \,d^{2} e}{b^{2}}+\frac{2 \sqrt{e x +d}\, d^{3}}{b}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} a^{2} e^{2}}{3 b^{3}}-\frac{4 \left(e x +d \right)^{\frac{3}{2}} a d e}{3 b^{2}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} d^{2}}{3 b}-\frac{2 \left(e x +d \right)^{\frac{5}{2}} a e}{5 b^{2}}+\frac{2 \left(e x +d \right)^{\frac{5}{2}} d}{5 b}+\frac{2 \left(e x +d \right)^{\frac{7}{2}}}{7 b}"," ",0,"2/7*(e*x+d)^(7/2)/b-2/5/b^2*(e*x+d)^(5/2)*a*e+2/5/b*(e*x+d)^(5/2)*d+2/3/b^3*(e*x+d)^(3/2)*a^2*e^2-4/3/b^2*(e*x+d)^(3/2)*a*d*e+2/3/b*(e*x+d)^(3/2)*d^2-2/b^4*a^3*e^3*(e*x+d)^(1/2)+6/b^3*a^2*d*e^2*(e*x+d)^(1/2)-6/b^2*a*d^2*e*(e*x+d)^(1/2)+2/b*d^3*(e*x+d)^(1/2)+2/b^4/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^4*e^4-8/b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^3*d*e^3+12/b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^2*d^2*e^2-8/b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*d^3*e+2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*d^4","B"
2067,1,263,92,0.054000," ","int((b*x+a)*(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2),x)","-\frac{2 a^{3} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b^{3}}+\frac{6 a^{2} d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b^{2}}-\frac{6 a \,d^{2} e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b}+\frac{2 d^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}}+\frac{2 \sqrt{e x +d}\, a^{2} e^{2}}{b^{3}}-\frac{4 \sqrt{e x +d}\, a d e}{b^{2}}+\frac{2 \sqrt{e x +d}\, d^{2}}{b}-\frac{2 \left(e x +d \right)^{\frac{3}{2}} a e}{3 b^{2}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} d}{3 b}+\frac{2 \left(e x +d \right)^{\frac{5}{2}}}{5 b}"," ",0,"2/5*(e*x+d)^(5/2)/b-2/3/b^2*(e*x+d)^(3/2)*a*e+2/3/b*(e*x+d)^(3/2)*d+2/b^3*a^2*e^2*(e*x+d)^(1/2)-4/b^2*a*d*e*(e*x+d)^(1/2)+2/b*d^2*(e*x+d)^(1/2)-2/b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^3*e^3+6/b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^2*d*e^2-6/b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*d^2*e+2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*d^3","B"
2068,1,167,70,0.053000," ","int((b*x+a)*(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2),x)","\frac{2 a^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b^{2}}-\frac{4 a d e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b}+\frac{2 d^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}}-\frac{2 \sqrt{e x +d}\, a e}{b^{2}}+\frac{2 \sqrt{e x +d}\, d}{b}+\frac{2 \left(e x +d \right)^{\frac{3}{2}}}{3 b}"," ",0,"2/3*(e*x+d)^(3/2)/b-2/b^2*a*e*(e*x+d)^(1/2)+2/b*(e*x+d)^(1/2)*d+2/b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^2*e^2-4/b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*d*e+2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*d^2","B"
2069,1,92,50,0.053000," ","int((b*x+a)*(e*x+d)^(1/2)/(b^2*x^2+2*a*b*x+a^2),x)","-\frac{2 a e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}\, b}+\frac{2 d \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}}+\frac{2 \sqrt{e x +d}}{b}"," ",0,"2*(e*x+d)^(1/2)/b-2/b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*e+2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*d","A"
2070,1,37,37,0.050000," ","int((b*x+a)/(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(1/2),x)","\frac{2 \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\sqrt{\left(a e -b d \right) b}}"," ",0,"2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)","A"
2071,1,68,57,0.055000," ","int((b*x+a)/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2),x)","-\frac{2 b \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\left(a e -b d \right) \sqrt{\left(a e -b d \right) b}}-\frac{2}{\left(a e -b d \right) \sqrt{e x +d}}"," ",0,"-2*b/(a*e-b*d)/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-2/(a*e-b*d)/(e*x+d)^(1/2)","A"
2072,1,90,77,0.056000," ","int((b*x+a)/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2),x)","\frac{2 b^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\left(a e -b d \right)^{2} \sqrt{\left(a e -b d \right) b}}+\frac{2 b}{\left(a e -b d \right)^{2} \sqrt{e x +d}}-\frac{2}{3 \left(a e -b d \right) \left(e x +d \right)^{\frac{3}{2}}}"," ",0,"2*b^2/(a*e-b*d)^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-2/3/(a*e-b*d)/(e*x+d)^(3/2)+2*b/(a*e-b*d)^2/(e*x+d)^(1/2)","A"
2073,1,112,99,0.056000," ","int((b*x+a)/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2),x)","-\frac{2 b^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\left(a e -b d \right)^{3} \sqrt{\left(a e -b d \right) b}}-\frac{2 b^{2}}{\left(a e -b d \right)^{3} \sqrt{e x +d}}+\frac{2 b}{3 \left(a e -b d \right)^{2} \left(e x +d \right)^{\frac{3}{2}}}-\frac{2}{5 \left(a e -b d \right) \left(e x +d \right)^{\frac{5}{2}}}"," ",0,"-2*b^3/(a*e-b*d)^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-2/5/(a*e-b*d)/(e*x+d)^(5/2)-2/(a*e-b*d)^3*b^2/(e*x+d)^(1/2)+2/3*b/(a*e-b*d)^2/(e*x+d)^(3/2)","A"
2074,1,543,143,0.102000," ","int((b*x+a)*(e*x+d)^(9/2)/(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{15 \sqrt{e x +d}\, a^{4} e^{6}}{4 \left(b e x +a e \right)^{2} b^{5}}-\frac{15 \sqrt{e x +d}\, a^{3} d \,e^{5}}{\left(b e x +a e \right)^{2} b^{4}}+\frac{45 \sqrt{e x +d}\, a^{2} d^{2} e^{4}}{2 \left(b e x +a e \right)^{2} b^{3}}-\frac{15 \sqrt{e x +d}\, a \,d^{3} e^{3}}{\left(b e x +a e \right)^{2} b^{2}}+\frac{15 \sqrt{e x +d}\, d^{4} e^{2}}{4 \left(b e x +a e \right)^{2} b}+\frac{17 \left(e x +d \right)^{\frac{3}{2}} a^{3} e^{5}}{4 \left(b e x +a e \right)^{2} b^{4}}-\frac{63 a^{3} e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{4 \sqrt{\left(a e -b d \right) b}\, b^{5}}-\frac{51 \left(e x +d \right)^{\frac{3}{2}} a^{2} d \,e^{4}}{4 \left(b e x +a e \right)^{2} b^{3}}+\frac{189 a^{2} d \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{4 \sqrt{\left(a e -b d \right) b}\, b^{4}}+\frac{51 \left(e x +d \right)^{\frac{3}{2}} a \,d^{2} e^{3}}{4 \left(b e x +a e \right)^{2} b^{2}}-\frac{189 a \,d^{2} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{4 \sqrt{\left(a e -b d \right) b}\, b^{3}}-\frac{17 \left(e x +d \right)^{\frac{3}{2}} d^{3} e^{2}}{4 \left(b e x +a e \right)^{2} b}+\frac{63 d^{3} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{4 \sqrt{\left(a e -b d \right) b}\, b^{2}}+\frac{12 \sqrt{e x +d}\, a^{2} e^{4}}{b^{5}}-\frac{24 \sqrt{e x +d}\, a d \,e^{3}}{b^{4}}+\frac{12 \sqrt{e x +d}\, d^{2} e^{2}}{b^{3}}-\frac{2 \left(e x +d \right)^{\frac{3}{2}} a \,e^{3}}{b^{4}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} d \,e^{2}}{b^{3}}+\frac{2 \left(e x +d \right)^{\frac{5}{2}} e^{2}}{5 b^{3}}"," ",0,"2/5*e^2*(e*x+d)^(5/2)/b^3-2*e^3/b^4*(e*x+d)^(3/2)*a+2*e^2/b^3*(e*x+d)^(3/2)*d+12*e^4/b^5*a^2*(e*x+d)^(1/2)-24*e^3/b^4*a*d*(e*x+d)^(1/2)+12*e^2/b^3*d^2*(e*x+d)^(1/2)+17/4*e^5/b^4/(b*e*x+a*e)^2*(e*x+d)^(3/2)*a^3-51/4*e^4/b^3/(b*e*x+a*e)^2*(e*x+d)^(3/2)*a^2*d+51/4*e^3/b^2/(b*e*x+a*e)^2*(e*x+d)^(3/2)*a*d^2-17/4*e^2/b/(b*e*x+a*e)^2*(e*x+d)^(3/2)*d^3+15/4*e^6/b^5/(b*e*x+a*e)^2*(e*x+d)^(1/2)*a^4-15*e^5/b^4/(b*e*x+a*e)^2*(e*x+d)^(1/2)*a^3*d+45/2*e^4/b^3/(b*e*x+a*e)^2*(e*x+d)^(1/2)*a^2*d^2-15*e^3/b^2/(b*e*x+a*e)^2*(e*x+d)^(1/2)*a*d^3+15/4*e^2/b/(b*e*x+a*e)^2*(e*x+d)^(1/2)*d^4-63/4*e^5/b^5/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^3+189/4*e^4/b^4/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^2*d-189/4*e^3/b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*d^2+63/4*e^2/b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*d^3","B"
2075,1,380,118,0.074000," ","int((b*x+a)*(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{11 \sqrt{e x +d}\, a^{3} e^{5}}{4 \left(b e x +a e \right)^{2} b^{4}}+\frac{33 \sqrt{e x +d}\, a^{2} d \,e^{4}}{4 \left(b e x +a e \right)^{2} b^{3}}-\frac{33 \sqrt{e x +d}\, a \,d^{2} e^{3}}{4 \left(b e x +a e \right)^{2} b^{2}}+\frac{11 \sqrt{e x +d}\, d^{3} e^{2}}{4 \left(b e x +a e \right)^{2} b}-\frac{13 \left(e x +d \right)^{\frac{3}{2}} a^{2} e^{4}}{4 \left(b e x +a e \right)^{2} b^{3}}+\frac{35 a^{2} e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{4 \sqrt{\left(a e -b d \right) b}\, b^{4}}+\frac{13 \left(e x +d \right)^{\frac{3}{2}} a d \,e^{3}}{2 \left(b e x +a e \right)^{2} b^{2}}-\frac{35 a d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{2 \sqrt{\left(a e -b d \right) b}\, b^{3}}-\frac{13 \left(e x +d \right)^{\frac{3}{2}} d^{2} e^{2}}{4 \left(b e x +a e \right)^{2} b}+\frac{35 d^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{4 \sqrt{\left(a e -b d \right) b}\, b^{2}}-\frac{6 \sqrt{e x +d}\, a \,e^{3}}{b^{4}}+\frac{6 \sqrt{e x +d}\, d \,e^{2}}{b^{3}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} e^{2}}{3 b^{3}}"," ",0,"2/3*e^2*(e*x+d)^(3/2)/b^3-6*e^3/b^4*a*(e*x+d)^(1/2)+6*e^2/b^3*(e*x+d)^(1/2)*d-13/4*e^4/b^3/(b*e*x+a*e)^2*(e*x+d)^(3/2)*a^2+13/2*e^3/b^2/(b*e*x+a*e)^2*(e*x+d)^(3/2)*a*d-13/4*e^2/b/(b*e*x+a*e)^2*(e*x+d)^(3/2)*d^2-11/4*e^5/b^4/(b*e*x+a*e)^2*(e*x+d)^(1/2)*a^3+33/4*e^4/b^3/(b*e*x+a*e)^2*(e*x+d)^(1/2)*a^2*d-33/4*e^3/b^2/(b*e*x+a*e)^2*(e*x+d)^(1/2)*a*d^2+11/4*e^2/b/(b*e*x+a*e)^2*(e*x+d)^(1/2)*d^3+35/4*e^4/b^4/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^2-35/2*e^3/b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*d+35/4*e^2/b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*d^2","B"
2076,1,238,95,0.071000," ","int((b*x+a)*(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{7 \sqrt{e x +d}\, a^{2} e^{4}}{4 \left(b e x +a e \right)^{2} b^{3}}-\frac{7 \sqrt{e x +d}\, a d \,e^{3}}{2 \left(b e x +a e \right)^{2} b^{2}}+\frac{7 \sqrt{e x +d}\, d^{2} e^{2}}{4 \left(b e x +a e \right)^{2} b}+\frac{9 \left(e x +d \right)^{\frac{3}{2}} a \,e^{3}}{4 \left(b e x +a e \right)^{2} b^{2}}-\frac{15 a \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{4 \sqrt{\left(a e -b d \right) b}\, b^{3}}-\frac{9 \left(e x +d \right)^{\frac{3}{2}} d \,e^{2}}{4 \left(b e x +a e \right)^{2} b}+\frac{15 d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{4 \sqrt{\left(a e -b d \right) b}\, b^{2}}+\frac{2 \sqrt{e x +d}\, e^{2}}{b^{3}}"," ",0,"2*e^2*(e*x+d)^(1/2)/b^3+9/4*e^3/b^2/(b*e*x+a*e)^2*(e*x+d)^(3/2)*a-9/4*e^2/b/(b*e*x+a*e)^2*(e*x+d)^(3/2)*d+7/4*e^4/b^3/(b*e*x+a*e)^2*(e*x+d)^(1/2)*a^2-7/2*e^3/b^2/(b*e*x+a*e)^2*(e*x+d)^(1/2)*a*d+7/4*e^2/b/(b*e*x+a*e)^2*(e*x+d)^(1/2)*d^2-15/4*e^3/b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a+15/4*e^2/b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*d","B"
2077,1,121,80,0.066000," ","int((b*x+a)*(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{3 \sqrt{e x +d}\, a \,e^{3}}{4 \left(b e x +a e \right)^{2} b^{2}}+\frac{3 \sqrt{e x +d}\, d \,e^{2}}{4 \left(b e x +a e \right)^{2} b}-\frac{5 \left(e x +d \right)^{\frac{3}{2}} e^{2}}{4 \left(b e x +a e \right)^{2} b}+\frac{3 e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{4 \sqrt{\left(a e -b d \right) b}\, b^{2}}"," ",0,"-5/4*e^2/(b*e*x+a*e)^2/b*(e*x+d)^(3/2)-3/4*e^3/(b*e*x+a*e)^2/b^2*(e*x+d)^(1/2)*a+3/4*e^2/(b*e*x+a*e)^2/b*(e*x+d)^(1/2)*d+3/4*e^2/b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)","A"
2078,1,111,90,0.062000," ","int((b*x+a)*(e*x+d)^(1/2)/(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{4 \left(a e -b d \right) \sqrt{\left(a e -b d \right) b}\, b}+\frac{\left(e x +d \right)^{\frac{3}{2}} e^{2}}{4 \left(b e x +a e \right)^{2} \left(a e -b d \right)}-\frac{\sqrt{e x +d}\, e^{2}}{4 \left(b e x +a e \right)^{2} b}"," ",0,"1/4*e^2/(b*e*x+a*e)^2/(a*e-b*d)*(e*x+d)^(3/2)-1/4*e^2/(b*e*x+a*e)^2/b*(e*x+d)^(1/2)+1/4*e^2/(a*e-b*d)/b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)","A"
2079,1,115,94,0.054000," ","int((b*x+a)/(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(1/2),x)","\frac{3 e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{4 \left(a e -b d \right)^{2} \sqrt{\left(a e -b d \right) b}}+\frac{\sqrt{e x +d}\, e^{2}}{2 \left(a e -b d \right) \left(b e x +a e \right)^{2}}+\frac{3 \sqrt{e x +d}\, e^{2}}{4 \left(a e -b d \right)^{2} \left(b e x +a e \right)}"," ",0,"1/2*e^2*(e*x+d)^(1/2)/(a*e-b*d)/(b*e*x+a*e)^2+3/4*e^2/(a*e-b*d)^2*(e*x+d)^(1/2)/(b*e*x+a*e)+3/4*e^2/(a*e-b*d)^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)","A"
2080,1,179,116,0.109000," ","int((b*x+a)/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{9 \sqrt{e x +d}\, a b \,e^{3}}{4 \left(a e -b d \right)^{3} \left(b e x +a e \right)^{2}}+\frac{9 \sqrt{e x +d}\, b^{2} d \,e^{2}}{4 \left(a e -b d \right)^{3} \left(b e x +a e \right)^{2}}-\frac{7 \left(e x +d \right)^{\frac{3}{2}} b^{2} e^{2}}{4 \left(a e -b d \right)^{3} \left(b e x +a e \right)^{2}}-\frac{15 b \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{4 \left(a e -b d \right)^{3} \sqrt{\left(a e -b d \right) b}}-\frac{2 e^{2}}{\left(a e -b d \right)^{3} \sqrt{e x +d}}"," ",0,"-7/4*e^2/(a*e-b*d)^3*b^2/(b*e*x+a*e)^2*(e*x+d)^(3/2)-9/4*e^3/(a*e-b*d)^3*b/(b*e*x+a*e)^2*(e*x+d)^(1/2)*a+9/4*e^2/(a*e-b*d)^3*b^2/(b*e*x+a*e)^2*(e*x+d)^(1/2)*d-15/4*e^2/(a*e-b*d)^3*b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-2*e^2/(a*e-b*d)^3/(e*x+d)^(1/2)","A"
2081,1,206,139,0.067000," ","int((b*x+a)/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{13 \sqrt{e x +d}\, a \,b^{2} e^{3}}{4 \left(a e -b d \right)^{4} \left(b e x +a e \right)^{2}}-\frac{13 \sqrt{e x +d}\, b^{3} d \,e^{2}}{4 \left(a e -b d \right)^{4} \left(b e x +a e \right)^{2}}+\frac{11 \left(e x +d \right)^{\frac{3}{2}} b^{3} e^{2}}{4 \left(a e -b d \right)^{4} \left(b e x +a e \right)^{2}}+\frac{35 b^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{4 \left(a e -b d \right)^{4} \sqrt{\left(a e -b d \right) b}}+\frac{6 b \,e^{2}}{\left(a e -b d \right)^{4} \sqrt{e x +d}}-\frac{2 e^{2}}{3 \left(a e -b d \right)^{3} \left(e x +d \right)^{\frac{3}{2}}}"," ",0,"11/4*e^2/(a*e-b*d)^4*b^3/(b*e*x+a*e)^2*(e*x+d)^(3/2)+13/4*e^3/(a*e-b*d)^4*b^2/(b*e*x+a*e)^2*(e*x+d)^(1/2)*a-13/4*e^2/(a*e-b*d)^4*b^3/(b*e*x+a*e)^2*(e*x+d)^(1/2)*d+35/4*e^2/(a*e-b*d)^4*b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-2/3*e^2/(a*e-b*d)^3/(e*x+d)^(3/2)+6*e^2/(a*e-b*d)^4*b/(e*x+d)^(1/2)","A"
2082,1,231,164,0.071000," ","int((b*x+a)/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^2,x)","-\frac{17 \sqrt{e x +d}\, a \,b^{3} e^{3}}{4 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{2}}+\frac{17 \sqrt{e x +d}\, b^{4} d \,e^{2}}{4 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{2}}-\frac{15 \left(e x +d \right)^{\frac{3}{2}} b^{4} e^{2}}{4 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{2}}-\frac{63 b^{3} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{4 \left(a e -b d \right)^{5} \sqrt{\left(a e -b d \right) b}}-\frac{12 b^{2} e^{2}}{\left(a e -b d \right)^{5} \sqrt{e x +d}}+\frac{2 b \,e^{2}}{\left(a e -b d \right)^{4} \left(e x +d \right)^{\frac{3}{2}}}-\frac{2 e^{2}}{5 \left(a e -b d \right)^{3} \left(e x +d \right)^{\frac{5}{2}}}"," ",0,"-15/4*e^2/(a*e-b*d)^5*b^4/(b*e*x+a*e)^2*(e*x+d)^(3/2)-17/4*e^3/(a*e-b*d)^5*b^3/(b*e*x+a*e)^2*(e*x+d)^(1/2)*a+17/4*e^2/(a*e-b*d)^5*b^4/(b*e*x+a*e)^2*(e*x+d)^(1/2)*d-63/4*e^2/(a*e-b*d)^5*b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-2/5*e^2/(a*e-b*d)^3/(e*x+d)^(5/2)-12*e^2/(a*e-b*d)^5*b^2/(e*x+d)^(1/2)+2*e^2/(a*e-b*d)^4*b/(e*x+d)^(3/2)","A"
2083,1,701,162,0.069000," ","int((b*x+a)*(e*x+d)^(11/2)/(b^2*x^2+2*a*b*x+a^2)^3,x)","-\frac{515 \sqrt{e x +d}\, a^{5} e^{9}}{64 \left(b e x +a e \right)^{4} b^{6}}+\frac{2575 \sqrt{e x +d}\, a^{4} d \,e^{8}}{64 \left(b e x +a e \right)^{4} b^{5}}-\frac{2575 \sqrt{e x +d}\, a^{3} d^{2} e^{7}}{32 \left(b e x +a e \right)^{4} b^{4}}+\frac{2575 \sqrt{e x +d}\, a^{2} d^{3} e^{6}}{32 \left(b e x +a e \right)^{4} b^{3}}-\frac{2575 \sqrt{e x +d}\, a \,d^{4} e^{5}}{64 \left(b e x +a e \right)^{4} b^{2}}+\frac{515 \sqrt{e x +d}\, d^{5} e^{4}}{64 \left(b e x +a e \right)^{4} b}-\frac{5153 \left(e x +d \right)^{\frac{3}{2}} a^{4} e^{8}}{192 \left(b e x +a e \right)^{4} b^{5}}+\frac{5153 \left(e x +d \right)^{\frac{3}{2}} a^{3} d \,e^{7}}{48 \left(b e x +a e \right)^{4} b^{4}}-\frac{5153 \left(e x +d \right)^{\frac{3}{2}} a^{2} d^{2} e^{6}}{32 \left(b e x +a e \right)^{4} b^{3}}+\frac{5153 \left(e x +d \right)^{\frac{3}{2}} a \,d^{3} e^{5}}{48 \left(b e x +a e \right)^{4} b^{2}}-\frac{5153 \left(e x +d \right)^{\frac{3}{2}} d^{4} e^{4}}{192 \left(b e x +a e \right)^{4} b}-\frac{5855 \left(e x +d \right)^{\frac{5}{2}} a^{3} e^{7}}{192 \left(b e x +a e \right)^{4} b^{4}}+\frac{5855 \left(e x +d \right)^{\frac{5}{2}} a^{2} d \,e^{6}}{64 \left(b e x +a e \right)^{4} b^{3}}-\frac{5855 \left(e x +d \right)^{\frac{5}{2}} a \,d^{2} e^{5}}{64 \left(b e x +a e \right)^{4} b^{2}}+\frac{5855 \left(e x +d \right)^{\frac{5}{2}} d^{3} e^{4}}{192 \left(b e x +a e \right)^{4} b}-\frac{765 \left(e x +d \right)^{\frac{7}{2}} a^{2} e^{6}}{64 \left(b e x +a e \right)^{4} b^{3}}+\frac{765 \left(e x +d \right)^{\frac{7}{2}} a d \,e^{5}}{32 \left(b e x +a e \right)^{4} b^{2}}-\frac{765 \left(e x +d \right)^{\frac{7}{2}} d^{2} e^{4}}{64 \left(b e x +a e \right)^{4} b}+\frac{1155 a^{2} e^{6} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{64 \sqrt{\left(a e -b d \right) b}\, b^{6}}-\frac{1155 a d \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{32 \sqrt{\left(a e -b d \right) b}\, b^{5}}+\frac{1155 d^{2} e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{64 \sqrt{\left(a e -b d \right) b}\, b^{4}}-\frac{10 \sqrt{e x +d}\, a \,e^{5}}{b^{6}}+\frac{10 \sqrt{e x +d}\, d \,e^{4}}{b^{5}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} e^{4}}{3 b^{5}}"," ",0,"2/3*e^4*(e*x+d)^(3/2)/b^5-10*e^5/b^6*a*(e*x+d)^(1/2)+10*e^4/b^5*(e*x+d)^(1/2)*d-765/64*e^6/b^3/(b*e*x+a*e)^4*(e*x+d)^(7/2)*a^2+765/32*e^5/b^2/(b*e*x+a*e)^4*(e*x+d)^(7/2)*a*d-765/64*e^4/b/(b*e*x+a*e)^4*(e*x+d)^(7/2)*d^2-5855/192*e^7/b^4/(b*e*x+a*e)^4*(e*x+d)^(5/2)*a^3+5855/64*e^6/b^3/(b*e*x+a*e)^4*(e*x+d)^(5/2)*a^2*d-5855/64*e^5/b^2/(b*e*x+a*e)^4*(e*x+d)^(5/2)*a*d^2+5855/192*e^4/b/(b*e*x+a*e)^4*(e*x+d)^(5/2)*d^3-5153/192*e^8/b^5/(b*e*x+a*e)^4*(e*x+d)^(3/2)*a^4+5153/48*e^7/b^4/(b*e*x+a*e)^4*(e*x+d)^(3/2)*a^3*d-5153/32*e^6/b^3/(b*e*x+a*e)^4*(e*x+d)^(3/2)*d^2*a^2+5153/48*e^5/b^2/(b*e*x+a*e)^4*(e*x+d)^(3/2)*a*d^3-5153/192*e^4/b/(b*e*x+a*e)^4*(e*x+d)^(3/2)*d^4-515/64*e^9/b^6/(b*e*x+a*e)^4*(e*x+d)^(1/2)*a^5+2575/64*e^8/b^5/(b*e*x+a*e)^4*(e*x+d)^(1/2)*a^4*d-2575/32*e^7/b^4/(b*e*x+a*e)^4*(e*x+d)^(1/2)*a^3*d^2+2575/32*e^6/b^3/(b*e*x+a*e)^4*(e*x+d)^(1/2)*a^2*d^3-2575/64*e^5/b^2/(b*e*x+a*e)^4*(e*x+d)^(1/2)*a*d^4+515/64*e^4/b/(b*e*x+a*e)^4*(e*x+d)^(1/2)*d^5+1155/64*e^6/b^6/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^2-1155/32*e^5/b^5/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*d+1155/64*e^4/b^4/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*d^2","B"
2084,1,497,139,0.071000," ","int((b*x+a)*(e*x+d)^(9/2)/(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{187 \sqrt{e x +d}\, a^{4} e^{8}}{64 \left(b e x +a e \right)^{4} b^{5}}-\frac{187 \sqrt{e x +d}\, a^{3} d \,e^{7}}{16 \left(b e x +a e \right)^{4} b^{4}}+\frac{561 \sqrt{e x +d}\, a^{2} d^{2} e^{6}}{32 \left(b e x +a e \right)^{4} b^{3}}-\frac{187 \sqrt{e x +d}\, a \,d^{3} e^{5}}{16 \left(b e x +a e \right)^{4} b^{2}}+\frac{187 \sqrt{e x +d}\, d^{4} e^{4}}{64 \left(b e x +a e \right)^{4} b}+\frac{643 \left(e x +d \right)^{\frac{3}{2}} a^{3} e^{7}}{64 \left(b e x +a e \right)^{4} b^{4}}-\frac{1929 \left(e x +d \right)^{\frac{3}{2}} a^{2} d \,e^{6}}{64 \left(b e x +a e \right)^{4} b^{3}}+\frac{1929 \left(e x +d \right)^{\frac{3}{2}} a \,d^{2} e^{5}}{64 \left(b e x +a e \right)^{4} b^{2}}-\frac{643 \left(e x +d \right)^{\frac{3}{2}} d^{3} e^{4}}{64 \left(b e x +a e \right)^{4} b}+\frac{765 \left(e x +d \right)^{\frac{5}{2}} a^{2} e^{6}}{64 \left(b e x +a e \right)^{4} b^{3}}-\frac{765 \left(e x +d \right)^{\frac{5}{2}} a d \,e^{5}}{32 \left(b e x +a e \right)^{4} b^{2}}+\frac{765 \left(e x +d \right)^{\frac{5}{2}} d^{2} e^{4}}{64 \left(b e x +a e \right)^{4} b}+\frac{325 \left(e x +d \right)^{\frac{7}{2}} a \,e^{5}}{64 \left(b e x +a e \right)^{4} b^{2}}-\frac{325 \left(e x +d \right)^{\frac{7}{2}} d \,e^{4}}{64 \left(b e x +a e \right)^{4} b}-\frac{315 a \,e^{5} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{64 \sqrt{\left(a e -b d \right) b}\, b^{5}}+\frac{315 d \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{64 \sqrt{\left(a e -b d \right) b}\, b^{4}}+\frac{2 \sqrt{e x +d}\, e^{4}}{b^{5}}"," ",0,"2*e^4*(e*x+d)^(1/2)/b^5+325/64*e^5/b^2/(b*e*x+a*e)^4*(e*x+d)^(7/2)*a-325/64*e^4/b/(b*e*x+a*e)^4*(e*x+d)^(7/2)*d+765/64*e^6/b^3/(b*e*x+a*e)^4*(e*x+d)^(5/2)*a^2-765/32*e^5/b^2/(b*e*x+a*e)^4*(e*x+d)^(5/2)*a*d+765/64*e^4/b/(b*e*x+a*e)^4*(e*x+d)^(5/2)*d^2+643/64*e^7/b^4/(b*e*x+a*e)^4*(e*x+d)^(3/2)*a^3-1929/64*e^6/b^3/(b*e*x+a*e)^4*(e*x+d)^(3/2)*a^2*d+1929/64*e^5/b^2/(b*e*x+a*e)^4*(e*x+d)^(3/2)*a*d^2-643/64*e^4/b/(b*e*x+a*e)^4*(e*x+d)^(3/2)*d^3+187/64*e^8/b^5/(b*e*x+a*e)^4*(e*x+d)^(1/2)*a^4-187/16*e^7/b^4/(b*e*x+a*e)^4*(e*x+d)^(1/2)*a^3*d+561/32*e^6/b^3/(b*e*x+a*e)^4*(e*x+d)^(1/2)*a^2*d^2-187/16*e^5/b^2/(b*e*x+a*e)^4*(e*x+d)^(1/2)*a*d^3+187/64*e^4/b/(b*e*x+a*e)^4*(e*x+d)^(1/2)*d^4-315/64*e^5/b^5/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a+315/64*e^4/b^4/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*d","B"
2085,1,318,124,0.069000," ","int((b*x+a)*(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^3,x)","-\frac{35 \sqrt{e x +d}\, a^{3} e^{7}}{64 \left(b e x +a e \right)^{4} b^{4}}+\frac{105 \sqrt{e x +d}\, a^{2} d \,e^{6}}{64 \left(b e x +a e \right)^{4} b^{3}}-\frac{105 \sqrt{e x +d}\, a \,d^{2} e^{5}}{64 \left(b e x +a e \right)^{4} b^{2}}+\frac{35 \sqrt{e x +d}\, d^{3} e^{4}}{64 \left(b e x +a e \right)^{4} b}-\frac{385 \left(e x +d \right)^{\frac{3}{2}} a^{2} e^{6}}{192 \left(b e x +a e \right)^{4} b^{3}}+\frac{385 \left(e x +d \right)^{\frac{3}{2}} a d \,e^{5}}{96 \left(b e x +a e \right)^{4} b^{2}}-\frac{385 \left(e x +d \right)^{\frac{3}{2}} d^{2} e^{4}}{192 \left(b e x +a e \right)^{4} b}-\frac{511 \left(e x +d \right)^{\frac{5}{2}} a \,e^{5}}{192 \left(b e x +a e \right)^{4} b^{2}}+\frac{511 \left(e x +d \right)^{\frac{5}{2}} d \,e^{4}}{192 \left(b e x +a e \right)^{4} b}-\frac{93 \left(e x +d \right)^{\frac{7}{2}} e^{4}}{64 \left(b e x +a e \right)^{4} b}+\frac{35 e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{64 \sqrt{\left(a e -b d \right) b}\, b^{4}}"," ",0,"-93/64*e^4/(b*e*x+a*e)^4/b*(e*x+d)^(7/2)-511/192*e^5/(b*e*x+a*e)^4/b^2*(e*x+d)^(5/2)*a+511/192*e^4/(b*e*x+a*e)^4/b*(e*x+d)^(5/2)*d-385/192*e^6/(b*e*x+a*e)^4/b^3*(e*x+d)^(3/2)*a^2+385/96*e^5/(b*e*x+a*e)^4/b^2*(e*x+d)^(3/2)*a*d-385/192*e^4/(b*e*x+a*e)^4/b*(e*x+d)^(3/2)*d^2-35/64*e^7/(b*e*x+a*e)^4/b^4*(e*x+d)^(1/2)*a^3+105/64*e^6/(b*e*x+a*e)^4/b^3*(e*x+d)^(1/2)*a^2*d-105/64*e^5/(b*e*x+a*e)^4/b^2*(e*x+d)^(1/2)*a*d^2+35/64*e^4/(b*e*x+a*e)^4/b*(e*x+d)^(1/2)*d^3+35/64*e^4/b^4/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)","B"
2086,1,246,134,0.067000," ","int((b*x+a)*(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^3,x)","-\frac{5 \sqrt{e x +d}\, a^{2} e^{6}}{64 \left(b e x +a e \right)^{4} b^{3}}+\frac{5 \sqrt{e x +d}\, a d \,e^{5}}{32 \left(b e x +a e \right)^{4} b^{2}}-\frac{5 \sqrt{e x +d}\, d^{2} e^{4}}{64 \left(b e x +a e \right)^{4} b}-\frac{55 \left(e x +d \right)^{\frac{3}{2}} a \,e^{5}}{192 \left(b e x +a e \right)^{4} b^{2}}+\frac{55 \left(e x +d \right)^{\frac{3}{2}} d \,e^{4}}{192 \left(b e x +a e \right)^{4} b}+\frac{5 \left(e x +d \right)^{\frac{7}{2}} e^{4}}{64 \left(b e x +a e \right)^{4} \left(a e -b d \right)}-\frac{73 \left(e x +d \right)^{\frac{5}{2}} e^{4}}{192 \left(b e x +a e \right)^{4} b}+\frac{5 e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{64 \left(a e -b d \right) \sqrt{\left(a e -b d \right) b}\, b^{3}}"," ",0,"5/64*e^4/(b*e*x+a*e)^4/(a*e-b*d)*(e*x+d)^(7/2)-73/192*e^4/(b*e*x+a*e)^4/b*(e*x+d)^(5/2)-55/192*e^5/(b*e*x+a*e)^4/b^2*(e*x+d)^(3/2)*a+55/192*e^4/(b*e*x+a*e)^4/b*(e*x+d)^(3/2)*d-5/64*e^6/(b*e*x+a*e)^4/b^3*(e*x+d)^(1/2)*a^2+5/32*e^5/(b*e*x+a*e)^4/b^2*(e*x+d)^(1/2)*a*d-5/64*e^4/(b*e*x+a*e)^4/b*(e*x+d)^(1/2)*d^2+5/64*e^4/(a*e-b*d)/b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)","A"
2087,1,222,144,0.068000," ","int((b*x+a)*(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{3 \left(e x +d \right)^{\frac{7}{2}} b \,e^{4}}{64 \left(b e x +a e \right)^{4} \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right)}-\frac{3 \sqrt{e x +d}\, a \,e^{5}}{64 \left(b e x +a e \right)^{4} b^{2}}+\frac{3 \sqrt{e x +d}\, d \,e^{4}}{64 \left(b e x +a e \right)^{4} b}+\frac{11 \left(e x +d \right)^{\frac{5}{2}} e^{4}}{64 \left(b e x +a e \right)^{4} \left(a e -b d \right)}-\frac{11 \left(e x +d \right)^{\frac{3}{2}} e^{4}}{64 \left(b e x +a e \right)^{4} b}+\frac{3 e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{64 \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right) \sqrt{\left(a e -b d \right) b}\, b^{2}}"," ",0,"3/64*e^4/(b*e*x+a*e)^4*b/(a^2*e^2-2*a*b*d*e+b^2*d^2)*(e*x+d)^(7/2)+11/64*e^4/(b*e*x+a*e)^4/(a*e-b*d)*(e*x+d)^(5/2)-11/64*e^4/(b*e*x+a*e)^4/b*(e*x+d)^(3/2)-3/64*e^5/(b*e*x+a*e)^4/b^2*(e*x+d)^(1/2)*a+3/64*e^4/(b*e*x+a*e)^4/b*(e*x+d)^(1/2)*d+3/64*e^4/b^2/(a^2*e^2-2*a*b*d*e+b^2*d^2)/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)","A"
2088,1,248,154,0.063000," ","int((b*x+a)*(e*x+d)^(1/2)/(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{5 \left(e x +d \right)^{\frac{7}{2}} b^{2} e^{4}}{64 \left(b e x +a e \right)^{4} \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right)}+\frac{55 \left(e x +d \right)^{\frac{5}{2}} b \,e^{4}}{192 \left(b e x +a e \right)^{4} \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right)}+\frac{5 e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{64 \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right) \sqrt{\left(a e -b d \right) b}\, b}+\frac{73 \left(e x +d \right)^{\frac{3}{2}} e^{4}}{192 \left(b e x +a e \right)^{4} \left(a e -b d \right)}-\frac{5 \sqrt{e x +d}\, e^{4}}{64 \left(b e x +a e \right)^{4} b}"," ",0,"5/64*e^4/(b*e*x+a*e)^4*b^2/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)*(e*x+d)^(7/2)+55/192*e^4/(b*e*x+a*e)^4*b/(a^2*e^2-2*a*b*d*e+b^2*d^2)*(e*x+d)^(5/2)+73/192*e^4/(b*e*x+a*e)^4/(a*e-b*d)*(e*x+d)^(3/2)-5/64*e^4/(b*e*x+a*e)^4/b*(e*x+d)^(1/2)+5/64*e^4/b/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)","A"
2089,1,179,152,0.060000," ","int((b*x+a)/(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(1/2),x)","\frac{35 e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{64 \left(a e -b d \right)^{4} \sqrt{\left(a e -b d \right) b}}+\frac{\sqrt{e x +d}\, e^{4}}{4 \left(a e -b d \right) \left(b e x +a e \right)^{4}}+\frac{7 \sqrt{e x +d}\, e^{4}}{24 \left(a e -b d \right)^{2} \left(b e x +a e \right)^{3}}+\frac{35 \sqrt{e x +d}\, e^{4}}{96 \left(a e -b d \right)^{3} \left(b e x +a e \right)^{2}}+\frac{35 \sqrt{e x +d}\, e^{4}}{64 \left(a e -b d \right)^{4} \left(b e x +a e \right)}"," ",0,"1/4*e^4*(e*x+d)^(1/2)/(a*e-b*d)/(b*e*x+a*e)^4+7/24*e^4/(a*e-b*d)^2*(e*x+d)^(1/2)/(b*e*x+a*e)^3+35/96*e^4/(a*e-b*d)^3*(e*x+d)^(1/2)/(b*e*x+a*e)^2+35/64*e^4/(a*e-b*d)^4*(e*x+d)^(1/2)/(b*e*x+a*e)+35/64*e^4/(a*e-b*d)^4/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)","A"
2090,1,446,174,0.071000," ","int((b*x+a)/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^3,x)","-\frac{325 \sqrt{e x +d}\, a^{3} b \,e^{7}}{64 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{4}}+\frac{975 \sqrt{e x +d}\, a^{2} b^{2} d \,e^{6}}{64 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{4}}-\frac{975 \sqrt{e x +d}\, a \,b^{3} d^{2} e^{5}}{64 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{4}}+\frac{325 \sqrt{e x +d}\, b^{4} d^{3} e^{4}}{64 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{4}}-\frac{765 \left(e x +d \right)^{\frac{3}{2}} a^{2} b^{2} e^{6}}{64 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{4}}+\frac{765 \left(e x +d \right)^{\frac{3}{2}} a \,b^{3} d \,e^{5}}{32 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{4}}-\frac{765 \left(e x +d \right)^{\frac{3}{2}} b^{4} d^{2} e^{4}}{64 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{4}}-\frac{643 \left(e x +d \right)^{\frac{5}{2}} a \,b^{3} e^{5}}{64 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{4}}+\frac{643 \left(e x +d \right)^{\frac{5}{2}} b^{4} d \,e^{4}}{64 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{4}}-\frac{187 \left(e x +d \right)^{\frac{7}{2}} b^{4} e^{4}}{64 \left(a e -b d \right)^{5} \left(b e x +a e \right)^{4}}-\frac{315 b \,e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{64 \left(a e -b d \right)^{5} \sqrt{\left(a e -b d \right) b}}-\frac{2 e^{4}}{\left(a e -b d \right)^{5} \sqrt{e x +d}}"," ",0,"-187/64*e^4/(a*e-b*d)^5*b^4/(b*e*x+a*e)^4*(e*x+d)^(7/2)-643/64*e^5/(a*e-b*d)^5*b^3/(b*e*x+a*e)^4*(e*x+d)^(5/2)*a+643/64*e^4/(a*e-b*d)^5*b^4/(b*e*x+a*e)^4*(e*x+d)^(5/2)*d-765/64*e^6/(a*e-b*d)^5*b^2/(b*e*x+a*e)^4*(e*x+d)^(3/2)*a^2+765/32*e^5/(a*e-b*d)^5*b^3/(b*e*x+a*e)^4*(e*x+d)^(3/2)*a*d-765/64*e^4/(a*e-b*d)^5*b^4/(b*e*x+a*e)^4*(e*x+d)^(3/2)*d^2-325/64*e^7/(a*e-b*d)^5*b/(b*e*x+a*e)^4*(e*x+d)^(1/2)*a^3+975/64*e^6/(a*e-b*d)^5*b^2/(b*e*x+a*e)^4*(e*x+d)^(1/2)*a^2*d-975/64*e^5/(a*e-b*d)^5*b^3/(b*e*x+a*e)^4*(e*x+d)^(1/2)*a*d^2+325/64*e^4/(a*e-b*d)^5*b^4/(b*e*x+a*e)^4*(e*x+d)^(1/2)*d^3-315/64*e^4/(a*e-b*d)^5*b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-2*e^4/(a*e-b*d)^5/(e*x+d)^(1/2)","B"
2091,1,473,197,0.078000," ","int((b*x+a)/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{765 \sqrt{e x +d}\, a^{3} b^{2} e^{7}}{64 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{4}}-\frac{2295 \sqrt{e x +d}\, a^{2} b^{3} d \,e^{6}}{64 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{4}}+\frac{2295 \sqrt{e x +d}\, a \,b^{4} d^{2} e^{5}}{64 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{4}}-\frac{765 \sqrt{e x +d}\, b^{5} d^{3} e^{4}}{64 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{4}}+\frac{5855 \left(e x +d \right)^{\frac{3}{2}} a^{2} b^{3} e^{6}}{192 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{4}}-\frac{5855 \left(e x +d \right)^{\frac{3}{2}} a \,b^{4} d \,e^{5}}{96 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{4}}+\frac{5855 \left(e x +d \right)^{\frac{3}{2}} b^{5} d^{2} e^{4}}{192 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{4}}+\frac{5153 \left(e x +d \right)^{\frac{5}{2}} a \,b^{4} e^{5}}{192 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{4}}-\frac{5153 \left(e x +d \right)^{\frac{5}{2}} b^{5} d \,e^{4}}{192 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{4}}+\frac{515 \left(e x +d \right)^{\frac{7}{2}} b^{5} e^{4}}{64 \left(a e -b d \right)^{6} \left(b e x +a e \right)^{4}}+\frac{1155 b^{2} e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{64 \left(a e -b d \right)^{6} \sqrt{\left(a e -b d \right) b}}+\frac{10 b \,e^{4}}{\left(a e -b d \right)^{6} \sqrt{e x +d}}-\frac{2 e^{4}}{3 \left(a e -b d \right)^{5} \left(e x +d \right)^{\frac{3}{2}}}"," ",0,"515/64*e^4/(a*e-b*d)^6*b^5/(b*e*x+a*e)^4*(e*x+d)^(7/2)+5153/192*e^5/(a*e-b*d)^6*b^4/(b*e*x+a*e)^4*(e*x+d)^(5/2)*a-5153/192*e^4/(a*e-b*d)^6*b^5/(b*e*x+a*e)^4*(e*x+d)^(5/2)*d+5855/192*e^6/(a*e-b*d)^6*b^3/(b*e*x+a*e)^4*(e*x+d)^(3/2)*a^2-5855/96*e^5/(a*e-b*d)^6*b^4/(b*e*x+a*e)^4*(e*x+d)^(3/2)*a*d+5855/192*e^4/(a*e-b*d)^6*b^5/(b*e*x+a*e)^4*(e*x+d)^(3/2)*d^2+765/64*e^7/(a*e-b*d)^6*b^2/(b*e*x+a*e)^4*(e*x+d)^(1/2)*a^3-2295/64*e^6/(a*e-b*d)^6*b^3/(b*e*x+a*e)^4*(e*x+d)^(1/2)*a^2*d+2295/64*e^5/(a*e-b*d)^6*b^4/(b*e*x+a*e)^4*(e*x+d)^(1/2)*a*d^2-765/64*e^4/(a*e-b*d)^6*b^5/(b*e*x+a*e)^4*(e*x+d)^(1/2)*d^3+1155/64*e^4/(a*e-b*d)^6*b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-2/3*e^4/(a*e-b*d)^5/(e*x+d)^(3/2)+10*e^4/(a*e-b*d)^6*b/(e*x+d)^(1/2)","B"
2092,1,79,107,0.056000," ","int((b*x+a)*(e*x+d)^(7/2)*((b*x+a)^2)^(1/2),x)","\frac{2 \left(e x +d \right)^{\frac{9}{2}} \left(99 b^{2} x^{2} e^{2}+234 a b \,e^{2} x -36 b^{2} d e x +143 a^{2} e^{2}-52 a b d e +8 b^{2} d^{2}\right) \sqrt{\left(b x +a \right)^{2}}}{1287 \left(b x +a \right) e^{3}}"," ",0,"2/1287*(e*x+d)^(9/2)*(99*b^2*e^2*x^2+234*a*b*e^2*x-36*b^2*d*e*x+143*a^2*e^2-52*a*b*d*e+8*b^2*d^2)*((b*x+a)^2)^(1/2)/e^3/(b*x+a)","A"
2093,1,79,107,0.046000," ","int((b*x+a)*(e*x+d)^(5/2)*((b*x+a)^2)^(1/2),x)","\frac{2 \left(e x +d \right)^{\frac{7}{2}} \left(63 b^{2} x^{2} e^{2}+154 a b \,e^{2} x -28 b^{2} d e x +99 a^{2} e^{2}-44 a b d e +8 b^{2} d^{2}\right) \sqrt{\left(b x +a \right)^{2}}}{693 \left(b x +a \right) e^{3}}"," ",0,"2/693*(e*x+d)^(7/2)*(63*b^2*e^2*x^2+154*a*b*e^2*x-28*b^2*d*e*x+99*a^2*e^2-44*a*b*d*e+8*b^2*d^2)*((b*x+a)^2)^(1/2)/e^3/(b*x+a)","A"
2094,1,79,107,0.049000," ","int((b*x+a)*(e*x+d)^(3/2)*((b*x+a)^2)^(1/2),x)","\frac{2 \left(e x +d \right)^{\frac{5}{2}} \left(35 b^{2} x^{2} e^{2}+90 a b \,e^{2} x -20 b^{2} d e x +63 a^{2} e^{2}-36 a b d e +8 b^{2} d^{2}\right) \sqrt{\left(b x +a \right)^{2}}}{315 \left(b x +a \right) e^{3}}"," ",0,"2/315*(e*x+d)^(5/2)*(35*b^2*e^2*x^2+90*a*b*e^2*x-20*b^2*d*e*x+63*a^2*e^2-36*a*b*d*e+8*b^2*d^2)*((b*x+a)^2)^(1/2)/e^3/(b*x+a)","A"
2095,1,79,107,0.047000," ","int((b*x+a)*(e*x+d)^(1/2)*((b*x+a)^2)^(1/2),x)","\frac{2 \left(e x +d \right)^{\frac{3}{2}} \left(15 b^{2} x^{2} e^{2}+42 a b \,e^{2} x -12 b^{2} d e x +35 a^{2} e^{2}-28 a b d e +8 b^{2} d^{2}\right) \sqrt{\left(b x +a \right)^{2}}}{105 \left(b x +a \right) e^{3}}"," ",0,"2/105*(e*x+d)^(3/2)*(15*b^2*e^2*x^2+42*a*b*e^2*x-12*b^2*d*e*x+35*a^2*e^2-28*a*b*d*e+8*b^2*d^2)*((b*x+a)^2)^(1/2)/e^3/(b*x+a)","A"
2096,1,79,107,0.046000," ","int((b*x+a)*((b*x+a)^2)^(1/2)/(e*x+d)^(1/2),x)","\frac{2 \sqrt{e x +d}\, \left(3 b^{2} x^{2} e^{2}+10 a b \,e^{2} x -4 b^{2} d e x +15 a^{2} e^{2}-20 a b d e +8 b^{2} d^{2}\right) \sqrt{\left(b x +a \right)^{2}}}{15 \left(b x +a \right) e^{3}}"," ",0,"2/15*(e*x+d)^(1/2)*(3*b^2*e^2*x^2+10*a*b*e^2*x-4*b^2*d*e*x+15*a^2*e^2-20*a*b*d*e+8*b^2*d^2)*((b*x+a)^2)^(1/2)/e^3/(b*x+a)","A"
2097,1,79,107,0.050000," ","int((b*x+a)*((b*x+a)^2)^(1/2)/(e*x+d)^(3/2),x)","-\frac{2 \left(-b^{2} x^{2} e^{2}-6 a b \,e^{2} x +4 b^{2} d e x +3 a^{2} e^{2}-12 a b d e +8 b^{2} d^{2}\right) \sqrt{\left(b x +a \right)^{2}}}{3 \sqrt{e x +d}\, \left(b x +a \right) e^{3}}"," ",0,"-2/3/(e*x+d)^(1/2)*(-b^2*e^2*x^2-6*a*b*e^2*x+4*b^2*d*e*x+3*a^2*e^2-12*a*b*d*e+8*b^2*d^2)*((b*x+a)^2)^(1/2)/e^3/(b*x+a)","A"
2098,1,78,107,0.069000," ","int((b*x+a)*((b*x+a)^2)^(1/2)/(e*x+d)^(5/2),x)","-\frac{2 \left(-3 b^{2} x^{2} e^{2}+6 a b \,e^{2} x -12 b^{2} d e x +a^{2} e^{2}+4 a b d e -8 b^{2} d^{2}\right) \sqrt{\left(b x +a \right)^{2}}}{3 \left(e x +d \right)^{\frac{3}{2}} \left(b x +a \right) e^{3}}"," ",0,"-2/3/(e*x+d)^(3/2)*(-3*b^2*e^2*x^2+6*a*b*e^2*x-12*b^2*d*e*x+a^2*e^2+4*a*b*d*e-8*b^2*d^2)*((b*x+a)^2)^(1/2)/e^3/(b*x+a)","A"
2099,1,79,107,0.049000," ","int((b*x+a)*((b*x+a)^2)^(1/2)/(e*x+d)^(7/2),x)","-\frac{2 \left(15 b^{2} x^{2} e^{2}+10 a b \,e^{2} x +20 b^{2} d e x +3 a^{2} e^{2}+4 a b d e +8 b^{2} d^{2}\right) \sqrt{\left(b x +a \right)^{2}}}{15 \left(e x +d \right)^{\frac{5}{2}} \left(b x +a \right) e^{3}}"," ",0,"-2/15/(e*x+d)^(5/2)*(15*b^2*e^2*x^2+10*a*b*e^2*x+20*b^2*d*e*x+3*a^2*e^2+4*a*b*d*e+8*b^2*d^2)*((b*x+a)^2)^(1/2)/e^3/(b*x+a)","A"
2100,1,202,189,0.053000," ","int((b*x+a)*(e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{2 \left(e x +d \right)^{\frac{7}{2}} \left(3003 b^{4} e^{4} x^{4}+13860 a \,b^{3} e^{4} x^{3}-1848 b^{4} d \,e^{3} x^{3}+24570 a^{2} b^{2} e^{4} x^{2}-7560 a \,b^{3} d \,e^{3} x^{2}+1008 b^{4} d^{2} e^{2} x^{2}+20020 a^{3} b \,e^{4} x -10920 a^{2} b^{2} d \,e^{3} x +3360 a \,b^{3} d^{2} e^{2} x -448 b^{4} d^{3} e x +6435 a^{4} e^{4}-5720 a^{3} b d \,e^{3}+3120 a^{2} b^{2} d^{2} e^{2}-960 a \,b^{3} d^{3} e +128 b^{4} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{45045 \left(b x +a \right)^{3} e^{5}}"," ",0,"2/45045*(e*x+d)^(7/2)*(3003*b^4*e^4*x^4+13860*a*b^3*e^4*x^3-1848*b^4*d*e^3*x^3+24570*a^2*b^2*e^4*x^2-7560*a*b^3*d*e^3*x^2+1008*b^4*d^2*e^2*x^2+20020*a^3*b*e^4*x-10920*a^2*b^2*d*e^3*x+3360*a*b^3*d^2*e^2*x-448*b^4*d^3*e*x+6435*a^4*e^4-5720*a^3*b*d*e^3+3120*a^2*b^2*d^2*e^2-960*a*b^3*d^3*e+128*b^4*d^4)*((b*x+a)^2)^(3/2)/e^5/(b*x+a)^3","A"
2101,1,202,189,0.049000," ","int((b*x+a)*(e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{2 \left(e x +d \right)^{\frac{5}{2}} \left(1155 b^{4} e^{4} x^{4}+5460 a \,b^{3} e^{4} x^{3}-840 b^{4} d \,e^{3} x^{3}+10010 a^{2} b^{2} e^{4} x^{2}-3640 a \,b^{3} d \,e^{3} x^{2}+560 b^{4} d^{2} e^{2} x^{2}+8580 a^{3} b \,e^{4} x -5720 a^{2} b^{2} d \,e^{3} x +2080 a \,b^{3} d^{2} e^{2} x -320 b^{4} d^{3} e x +3003 a^{4} e^{4}-3432 a^{3} b d \,e^{3}+2288 a^{2} b^{2} d^{2} e^{2}-832 a \,b^{3} d^{3} e +128 b^{4} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{15015 \left(b x +a \right)^{3} e^{5}}"," ",0,"2/15015*(e*x+d)^(5/2)*(1155*b^4*e^4*x^4+5460*a*b^3*e^4*x^3-840*b^4*d*e^3*x^3+10010*a^2*b^2*e^4*x^2-3640*a*b^3*d*e^3*x^2+560*b^4*d^2*e^2*x^2+8580*a^3*b*e^4*x-5720*a^2*b^2*d*e^3*x+2080*a*b^3*d^2*e^2*x-320*b^4*d^3*e*x+3003*a^4*e^4-3432*a^3*b*d*e^3+2288*a^2*b^2*d^2*e^2-832*a*b^3*d^3*e+128*b^4*d^4)*((b*x+a)^2)^(3/2)/e^5/(b*x+a)^3","A"
2102,1,202,189,0.049000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)*(e*x+d)^(1/2),x)","\frac{2 \left(e x +d \right)^{\frac{3}{2}} \left(315 b^{4} e^{4} x^{4}+1540 a \,b^{3} e^{4} x^{3}-280 b^{4} d \,e^{3} x^{3}+2970 a^{2} b^{2} e^{4} x^{2}-1320 a \,b^{3} d \,e^{3} x^{2}+240 b^{4} d^{2} e^{2} x^{2}+2772 a^{3} b \,e^{4} x -2376 a^{2} b^{2} d \,e^{3} x +1056 a \,b^{3} d^{2} e^{2} x -192 b^{4} d^{3} e x +1155 a^{4} e^{4}-1848 a^{3} b d \,e^{3}+1584 a^{2} b^{2} d^{2} e^{2}-704 a \,b^{3} d^{3} e +128 b^{4} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{3465 \left(b x +a \right)^{3} e^{5}}"," ",0,"2/3465*(e*x+d)^(3/2)*(315*b^4*e^4*x^4+1540*a*b^3*e^4*x^3-280*b^4*d*e^3*x^3+2970*a^2*b^2*e^4*x^2-1320*a*b^3*d*e^3*x^2+240*b^4*d^2*e^2*x^2+2772*a^3*b*e^4*x-2376*a^2*b^2*d*e^3*x+1056*a*b^3*d^2*e^2*x-192*b^4*d^3*e*x+1155*a^4*e^4-1848*a^3*b*d*e^3+1584*a^2*b^2*d^2*e^2-704*a*b^3*d^3*e+128*b^4*d^4)*((b*x+a)^2)^(3/2)/e^5/(b*x+a)^3","A"
2103,1,202,189,0.059000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(1/2),x)","\frac{2 \sqrt{e x +d}\, \left(35 b^{4} e^{4} x^{4}+180 a \,b^{3} e^{4} x^{3}-40 b^{4} d \,e^{3} x^{3}+378 a^{2} b^{2} e^{4} x^{2}-216 a \,b^{3} d \,e^{3} x^{2}+48 b^{4} d^{2} e^{2} x^{2}+420 a^{3} b \,e^{4} x -504 a^{2} b^{2} d \,e^{3} x +288 a \,b^{3} d^{2} e^{2} x -64 b^{4} d^{3} e x +315 a^{4} e^{4}-840 a^{3} b d \,e^{3}+1008 a^{2} b^{2} d^{2} e^{2}-576 a \,b^{3} d^{3} e +128 b^{4} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{315 \left(b x +a \right)^{3} e^{5}}"," ",0,"2/315*(e*x+d)^(1/2)*(35*b^4*e^4*x^4+180*a*b^3*e^4*x^3-40*b^4*d*e^3*x^3+378*a^2*b^2*e^4*x^2-216*a*b^3*d*e^3*x^2+48*b^4*d^2*e^2*x^2+420*a^3*b*e^4*x-504*a^2*b^2*d*e^3*x+288*a*b^3*d^2*e^2*x-64*b^4*d^3*e*x+315*a^4*e^4-840*a^3*b*d*e^3+1008*a^2*b^2*d^2*e^2-576*a*b^3*d^3*e+128*b^4*d^4)*((b*x+a)^2)^(3/2)/e^5/(b*x+a)^3","A"
2104,1,202,189,0.049000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(3/2),x)","-\frac{2 \left(-5 b^{4} e^{4} x^{4}-28 a \,b^{3} e^{4} x^{3}+8 b^{4} d \,e^{3} x^{3}-70 a^{2} b^{2} e^{4} x^{2}+56 a \,b^{3} d \,e^{3} x^{2}-16 b^{4} d^{2} e^{2} x^{2}-140 a^{3} b \,e^{4} x +280 a^{2} b^{2} d \,e^{3} x -224 a \,b^{3} d^{2} e^{2} x +64 b^{4} d^{3} e x +35 a^{4} e^{4}-280 a^{3} b d \,e^{3}+560 a^{2} b^{2} d^{2} e^{2}-448 a \,b^{3} d^{3} e +128 b^{4} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{35 \sqrt{e x +d}\, \left(b x +a \right)^{3} e^{5}}"," ",0,"-2/35/(e*x+d)^(1/2)*(-5*b^4*e^4*x^4-28*a*b^3*e^4*x^3+8*b^4*d*e^3*x^3-70*a^2*b^2*e^4*x^2+56*a*b^3*d*e^3*x^2-16*b^4*d^2*e^2*x^2-140*a^3*b*e^4*x+280*a^2*b^2*d*e^3*x-224*a*b^3*d^2*e^2*x+64*b^4*d^3*e*x+35*a^4*e^4-280*a^3*b*d*e^3+560*a^2*b^2*d^2*e^2-448*a*b^3*d^3*e+128*b^4*d^4)*((b*x+a)^2)^(3/2)/e^5/(b*x+a)^3","A"
2105,1,202,189,0.048000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(5/2),x)","-\frac{2 \left(-3 b^{4} e^{4} x^{4}-20 a \,b^{3} e^{4} x^{3}+8 b^{4} d \,e^{3} x^{3}-90 a^{2} b^{2} e^{4} x^{2}+120 a \,b^{3} d \,e^{3} x^{2}-48 b^{4} d^{2} e^{2} x^{2}+60 a^{3} b \,e^{4} x -360 a^{2} b^{2} d \,e^{3} x +480 a \,b^{3} d^{2} e^{2} x -192 b^{4} d^{3} e x +5 a^{4} e^{4}+40 a^{3} b d \,e^{3}-240 a^{2} b^{2} d^{2} e^{2}+320 a \,b^{3} d^{3} e -128 b^{4} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{15 \left(e x +d \right)^{\frac{3}{2}} \left(b x +a \right)^{3} e^{5}}"," ",0,"-2/15/(e*x+d)^(3/2)*(-3*b^4*e^4*x^4-20*a*b^3*e^4*x^3+8*b^4*d*e^3*x^3-90*a^2*b^2*e^4*x^2+120*a*b^3*d*e^3*x^2-48*b^4*d^2*e^2*x^2+60*a^3*b*e^4*x-360*a^2*b^2*d*e^3*x+480*a*b^3*d^2*e^2*x-192*b^4*d^3*e*x+5*a^4*e^4+40*a^3*b*d*e^3-240*a^2*b^2*d^2*e^2+320*a*b^3*d^3*e-128*b^4*d^4)*((b*x+a)^2)^(3/2)/e^5/(b*x+a)^3","A"
2106,1,202,189,0.051000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(7/2),x)","-\frac{2 \left(-5 b^{4} e^{4} x^{4}-60 a \,b^{3} e^{4} x^{3}+40 b^{4} d \,e^{3} x^{3}+90 a^{2} b^{2} e^{4} x^{2}-360 a \,b^{3} d \,e^{3} x^{2}+240 b^{4} d^{2} e^{2} x^{2}+20 a^{3} b \,e^{4} x +120 a^{2} b^{2} d \,e^{3} x -480 a \,b^{3} d^{2} e^{2} x +320 b^{4} d^{3} e x +3 a^{4} e^{4}+8 a^{3} b d \,e^{3}+48 a^{2} b^{2} d^{2} e^{2}-192 a \,b^{3} d^{3} e +128 b^{4} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{15 \left(e x +d \right)^{\frac{5}{2}} \left(b x +a \right)^{3} e^{5}}"," ",0,"-2/15/(e*x+d)^(5/2)*(-5*b^4*e^4*x^4-60*a*b^3*e^4*x^3+40*b^4*d*e^3*x^3+90*a^2*b^2*e^4*x^2-360*a*b^3*d*e^3*x^2+240*b^4*d^2*e^2*x^2+20*a^3*b*e^4*x+120*a^2*b^2*d*e^3*x-480*a*b^3*d^2*e^2*x+320*b^4*d^3*e*x+3*a^4*e^4+8*a^3*b*d*e^3+48*a^2*b^2*d^2*e^2-192*a*b^3*d^3*e+128*b^4*d^4)*((b*x+a)^2)^(3/2)/e^5/(b*x+a)^3","A"
2107,1,202,189,0.051000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(9/2),x)","-\frac{2 \left(-35 b^{4} e^{4} x^{4}+140 a \,b^{3} e^{4} x^{3}-280 b^{4} d \,e^{3} x^{3}+70 a^{2} b^{2} e^{4} x^{2}+280 a \,b^{3} d \,e^{3} x^{2}-560 b^{4} d^{2} e^{2} x^{2}+28 a^{3} b \,e^{4} x +56 a^{2} b^{2} d \,e^{3} x +224 a \,b^{3} d^{2} e^{2} x -448 b^{4} d^{3} e x +5 a^{4} e^{4}+8 a^{3} b d \,e^{3}+16 a^{2} b^{2} d^{2} e^{2}+64 a \,b^{3} d^{3} e -128 b^{4} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{35 \left(e x +d \right)^{\frac{7}{2}} \left(b x +a \right)^{3} e^{5}}"," ",0,"-2/35/(e*x+d)^(7/2)*(-35*b^4*e^4*x^4+140*a*b^3*e^4*x^3-280*b^4*d*e^3*x^3+70*a^2*b^2*e^4*x^2+280*a*b^3*d*e^3*x^2-560*b^4*d^2*e^2*x^2+28*a^3*b*e^4*x+56*a^2*b^2*d*e^3*x+224*a*b^3*d^2*e^2*x-448*b^4*d^3*e*x+5*a^4*e^4+8*a^3*b*d*e^3+16*a^2*b^2*d^2*e^2+64*a*b^3*d^3*e-128*b^4*d^4)*((b*x+a)^2)^(3/2)/e^5/(b*x+a)^3","A"
2108,1,202,189,0.051000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(11/2),x)","-\frac{2 \left(315 b^{4} e^{4} x^{4}+420 a \,b^{3} e^{4} x^{3}+840 b^{4} d \,e^{3} x^{3}+378 a^{2} b^{2} e^{4} x^{2}+504 a \,b^{3} d \,e^{3} x^{2}+1008 b^{4} d^{2} e^{2} x^{2}+180 a^{3} b \,e^{4} x +216 a^{2} b^{2} d \,e^{3} x +288 a \,b^{3} d^{2} e^{2} x +576 b^{4} d^{3} e x +35 a^{4} e^{4}+40 a^{3} b d \,e^{3}+48 a^{2} b^{2} d^{2} e^{2}+64 a \,b^{3} d^{3} e +128 b^{4} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{315 \left(e x +d \right)^{\frac{9}{2}} \left(b x +a \right)^{3} e^{5}}"," ",0,"-2/315/(e*x+d)^(9/2)*(315*b^4*e^4*x^4+420*a*b^3*e^4*x^3+840*b^4*d*e^3*x^3+378*a^2*b^2*e^4*x^2+504*a*b^3*d*e^3*x^2+1008*b^4*d^2*e^2*x^2+180*a^3*b*e^4*x+216*a^2*b^2*d*e^3*x+288*a*b^3*d^2*e^2*x+576*b^4*d^3*e*x+35*a^4*e^4+40*a^3*b*d*e^3+48*a^2*b^2*d^2*e^2+64*a*b^3*d^3*e+128*b^4*d^4)*((b*x+a)^2)^(3/2)/e^5/(b*x+a)^3","A"
2109,1,202,189,0.061000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(13/2),x)","-\frac{2 \left(1155 b^{4} e^{4} x^{4}+2772 a \,b^{3} e^{4} x^{3}+1848 b^{4} d \,e^{3} x^{3}+2970 a^{2} b^{2} e^{4} x^{2}+2376 a \,b^{3} d \,e^{3} x^{2}+1584 b^{4} d^{2} e^{2} x^{2}+1540 a^{3} b \,e^{4} x +1320 a^{2} b^{2} d \,e^{3} x +1056 a \,b^{3} d^{2} e^{2} x +704 b^{4} d^{3} e x +315 a^{4} e^{4}+280 a^{3} b d \,e^{3}+240 a^{2} b^{2} d^{2} e^{2}+192 a \,b^{3} d^{3} e +128 b^{4} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}{3465 \left(e x +d \right)^{\frac{11}{2}} \left(b x +a \right)^{3} e^{5}}"," ",0,"-2/3465/(e*x+d)^(11/2)*(1155*b^4*e^4*x^4+2772*a*b^3*e^4*x^3+1848*b^4*d*e^3*x^3+2970*a^2*b^2*e^4*x^2+2376*a*b^3*d*e^3*x^2+1584*b^4*d^2*e^2*x^2+1540*a^3*b*e^4*x+1320*a^2*b^2*d*e^3*x+1056*a*b^3*d^2*e^2*x+704*b^4*d^3*e*x+315*a^4*e^4+280*a^3*b*d*e^3+240*a^2*b^2*d^2*e^2+192*a*b^3*d^3*e+128*b^4*d^4)*((b*x+a)^2)^(3/2)/e^5/(b*x+a)^3","A"
2110,1,393,271,0.044000," ","int((b*x+a)*(e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{2 \left(e x +d \right)^{\frac{7}{2}} \left(51051 b^{6} e^{6} x^{6}+342342 a \,b^{5} e^{6} x^{5}-36036 b^{6} d \,e^{5} x^{5}+969969 a^{2} b^{4} e^{6} x^{4}-228228 a \,b^{5} d \,e^{5} x^{4}+24024 b^{6} d^{2} e^{4} x^{4}+1492260 a^{3} b^{3} e^{6} x^{3}-596904 a^{2} b^{4} d \,e^{5} x^{3}+140448 a \,b^{5} d^{2} e^{4} x^{3}-14784 b^{6} d^{3} e^{3} x^{3}+1322685 a^{4} b^{2} e^{6} x^{2}-813960 a^{3} b^{3} d \,e^{5} x^{2}+325584 a^{2} b^{4} d^{2} e^{4} x^{2}-76608 a \,b^{5} d^{3} e^{3} x^{2}+8064 b^{6} d^{4} e^{2} x^{2}+646646 a^{5} b \,e^{6} x -587860 a^{4} b^{2} d \,e^{5} x +361760 a^{3} b^{3} d^{2} e^{4} x -144704 a^{2} b^{4} d^{3} e^{3} x +34048 a \,b^{5} d^{4} e^{2} x -3584 b^{6} d^{5} e x +138567 a^{6} e^{6}-184756 a^{5} b d \,e^{5}+167960 a^{4} b^{2} d^{2} e^{4}-103360 a^{3} b^{3} d^{3} e^{3}+41344 a^{2} b^{4} d^{4} e^{2}-9728 a \,b^{5} d^{5} e +1024 b^{6} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{969969 \left(b x +a \right)^{5} e^{7}}"," ",0,"2/969969*(e*x+d)^(7/2)*(51051*b^6*e^6*x^6+342342*a*b^5*e^6*x^5-36036*b^6*d*e^5*x^5+969969*a^2*b^4*e^6*x^4-228228*a*b^5*d*e^5*x^4+24024*b^6*d^2*e^4*x^4+1492260*a^3*b^3*e^6*x^3-596904*a^2*b^4*d*e^5*x^3+140448*a*b^5*d^2*e^4*x^3-14784*b^6*d^3*e^3*x^3+1322685*a^4*b^2*e^6*x^2-813960*a^3*b^3*d*e^5*x^2+325584*a^2*b^4*d^2*e^4*x^2-76608*a*b^5*d^3*e^3*x^2+8064*b^6*d^4*e^2*x^2+646646*a^5*b*e^6*x-587860*a^4*b^2*d*e^5*x+361760*a^3*b^3*d^2*e^4*x-144704*a^2*b^4*d^3*e^3*x+34048*a*b^5*d^4*e^2*x-3584*b^6*d^5*e*x+138567*a^6*e^6-184756*a^5*b*d*e^5+167960*a^4*b^2*d^2*e^4-103360*a^3*b^3*d^3*e^3+41344*a^2*b^4*d^4*e^2-9728*a*b^5*d^5*e+1024*b^6*d^6)*((b*x+a)^2)^(5/2)/e^7/(b*x+a)^5","A"
2111,1,393,271,0.052000," ","int((b*x+a)*(e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{2 \left(e x +d \right)^{\frac{5}{2}} \left(15015 b^{6} e^{6} x^{6}+102102 a \,b^{5} e^{6} x^{5}-12012 b^{6} d \,e^{5} x^{5}+294525 a^{2} b^{4} e^{6} x^{4}-78540 a \,b^{5} d \,e^{5} x^{4}+9240 b^{6} d^{2} e^{4} x^{4}+464100 a^{3} b^{3} e^{6} x^{3}-214200 a^{2} b^{4} d \,e^{5} x^{3}+57120 a \,b^{5} d^{2} e^{4} x^{3}-6720 b^{6} d^{3} e^{3} x^{3}+425425 a^{4} b^{2} e^{6} x^{2}-309400 a^{3} b^{3} d \,e^{5} x^{2}+142800 a^{2} b^{4} d^{2} e^{4} x^{2}-38080 a \,b^{5} d^{3} e^{3} x^{2}+4480 b^{6} d^{4} e^{2} x^{2}+218790 a^{5} b \,e^{6} x -243100 a^{4} b^{2} d \,e^{5} x +176800 a^{3} b^{3} d^{2} e^{4} x -81600 a^{2} b^{4} d^{3} e^{3} x +21760 a \,b^{5} d^{4} e^{2} x -2560 b^{6} d^{5} e x +51051 a^{6} e^{6}-87516 a^{5} b d \,e^{5}+97240 a^{4} b^{2} d^{2} e^{4}-70720 a^{3} b^{3} d^{3} e^{3}+32640 a^{2} b^{4} d^{4} e^{2}-8704 a \,b^{5} d^{5} e +1024 b^{6} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{255255 \left(b x +a \right)^{5} e^{7}}"," ",0,"2/255255*(e*x+d)^(5/2)*(15015*b^6*e^6*x^6+102102*a*b^5*e^6*x^5-12012*b^6*d*e^5*x^5+294525*a^2*b^4*e^6*x^4-78540*a*b^5*d*e^5*x^4+9240*b^6*d^2*e^4*x^4+464100*a^3*b^3*e^6*x^3-214200*a^2*b^4*d*e^5*x^3+57120*a*b^5*d^2*e^4*x^3-6720*b^6*d^3*e^3*x^3+425425*a^4*b^2*e^6*x^2-309400*a^3*b^3*d*e^5*x^2+142800*a^2*b^4*d^2*e^4*x^2-38080*a*b^5*d^3*e^3*x^2+4480*b^6*d^4*e^2*x^2+218790*a^5*b*e^6*x-243100*a^4*b^2*d*e^5*x+176800*a^3*b^3*d^2*e^4*x-81600*a^2*b^4*d^3*e^3*x+21760*a*b^5*d^4*e^2*x-2560*b^6*d^5*e*x+51051*a^6*e^6-87516*a^5*b*d*e^5+97240*a^4*b^2*d^2*e^4-70720*a^3*b^3*d^3*e^3+32640*a^2*b^4*d^4*e^2-8704*a*b^5*d^5*e+1024*b^6*d^6)*((b*x+a)^2)^(5/2)/e^7/(b*x+a)^5","A"
2112,1,393,271,0.063000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)*(e*x+d)^(1/2),x)","\frac{2 \left(e x +d \right)^{\frac{3}{2}} \left(3003 b^{6} e^{6} x^{6}+20790 a \,b^{5} e^{6} x^{5}-2772 b^{6} d \,e^{5} x^{5}+61425 a^{2} b^{4} e^{6} x^{4}-18900 a \,b^{5} d \,e^{5} x^{4}+2520 b^{6} d^{2} e^{4} x^{4}+100100 a^{3} b^{3} e^{6} x^{3}-54600 a^{2} b^{4} d \,e^{5} x^{3}+16800 a \,b^{5} d^{2} e^{4} x^{3}-2240 b^{6} d^{3} e^{3} x^{3}+96525 a^{4} b^{2} e^{6} x^{2}-85800 a^{3} b^{3} d \,e^{5} x^{2}+46800 a^{2} b^{4} d^{2} e^{4} x^{2}-14400 a \,b^{5} d^{3} e^{3} x^{2}+1920 b^{6} d^{4} e^{2} x^{2}+54054 a^{5} b \,e^{6} x -77220 a^{4} b^{2} d \,e^{5} x +68640 a^{3} b^{3} d^{2} e^{4} x -37440 a^{2} b^{4} d^{3} e^{3} x +11520 a \,b^{5} d^{4} e^{2} x -1536 b^{6} d^{5} e x +15015 a^{6} e^{6}-36036 a^{5} b d \,e^{5}+51480 a^{4} b^{2} d^{2} e^{4}-45760 a^{3} b^{3} d^{3} e^{3}+24960 a^{2} b^{4} d^{4} e^{2}-7680 a \,b^{5} d^{5} e +1024 b^{6} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{45045 \left(b x +a \right)^{5} e^{7}}"," ",0,"2/45045*(e*x+d)^(3/2)*(3003*b^6*e^6*x^6+20790*a*b^5*e^6*x^5-2772*b^6*d*e^5*x^5+61425*a^2*b^4*e^6*x^4-18900*a*b^5*d*e^5*x^4+2520*b^6*d^2*e^4*x^4+100100*a^3*b^3*e^6*x^3-54600*a^2*b^4*d*e^5*x^3+16800*a*b^5*d^2*e^4*x^3-2240*b^6*d^3*e^3*x^3+96525*a^4*b^2*e^6*x^2-85800*a^3*b^3*d*e^5*x^2+46800*a^2*b^4*d^2*e^4*x^2-14400*a*b^5*d^3*e^3*x^2+1920*b^6*d^4*e^2*x^2+54054*a^5*b*e^6*x-77220*a^4*b^2*d*e^5*x+68640*a^3*b^3*d^2*e^4*x-37440*a^2*b^4*d^3*e^3*x+11520*a*b^5*d^4*e^2*x-1536*b^6*d^5*e*x+15015*a^6*e^6-36036*a^5*b*d*e^5+51480*a^4*b^2*d^2*e^4-45760*a^3*b^3*d^3*e^3+24960*a^2*b^4*d^4*e^2-7680*a*b^5*d^5*e+1024*b^6*d^6)*((b*x+a)^2)^(5/2)/e^7/(b*x+a)^5","A"
2113,1,393,271,0.052000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(1/2),x)","\frac{2 \sqrt{e x +d}\, \left(231 b^{6} e^{6} x^{6}+1638 a \,b^{5} e^{6} x^{5}-252 b^{6} d \,e^{5} x^{5}+5005 a^{2} b^{4} e^{6} x^{4}-1820 a \,b^{5} d \,e^{5} x^{4}+280 b^{6} d^{2} e^{4} x^{4}+8580 a^{3} b^{3} e^{6} x^{3}-5720 a^{2} b^{4} d \,e^{5} x^{3}+2080 a \,b^{5} d^{2} e^{4} x^{3}-320 b^{6} d^{3} e^{3} x^{3}+9009 a^{4} b^{2} e^{6} x^{2}-10296 a^{3} b^{3} d \,e^{5} x^{2}+6864 a^{2} b^{4} d^{2} e^{4} x^{2}-2496 a \,b^{5} d^{3} e^{3} x^{2}+384 b^{6} d^{4} e^{2} x^{2}+6006 a^{5} b \,e^{6} x -12012 a^{4} b^{2} d \,e^{5} x +13728 a^{3} b^{3} d^{2} e^{4} x -9152 a^{2} b^{4} d^{3} e^{3} x +3328 a \,b^{5} d^{4} e^{2} x -512 b^{6} d^{5} e x +3003 a^{6} e^{6}-12012 a^{5} b d \,e^{5}+24024 a^{4} b^{2} d^{2} e^{4}-27456 a^{3} b^{3} d^{3} e^{3}+18304 a^{2} b^{4} d^{4} e^{2}-6656 a \,b^{5} d^{5} e +1024 b^{6} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{3003 \left(b x +a \right)^{5} e^{7}}"," ",0,"2/3003*(e*x+d)^(1/2)*(231*b^6*e^6*x^6+1638*a*b^5*e^6*x^5-252*b^6*d*e^5*x^5+5005*a^2*b^4*e^6*x^4-1820*a*b^5*d*e^5*x^4+280*b^6*d^2*e^4*x^4+8580*a^3*b^3*e^6*x^3-5720*a^2*b^4*d*e^5*x^3+2080*a*b^5*d^2*e^4*x^3-320*b^6*d^3*e^3*x^3+9009*a^4*b^2*e^6*x^2-10296*a^3*b^3*d*e^5*x^2+6864*a^2*b^4*d^2*e^4*x^2-2496*a*b^5*d^3*e^3*x^2+384*b^6*d^4*e^2*x^2+6006*a^5*b*e^6*x-12012*a^4*b^2*d*e^5*x+13728*a^3*b^3*d^2*e^4*x-9152*a^2*b^4*d^3*e^3*x+3328*a*b^5*d^4*e^2*x-512*b^6*d^5*e*x+3003*a^6*e^6-12012*a^5*b*d*e^5+24024*a^4*b^2*d^2*e^4-27456*a^3*b^3*d^3*e^3+18304*a^2*b^4*d^4*e^2-6656*a*b^5*d^5*e+1024*b^6*d^6)*((b*x+a)^2)^(5/2)/e^7/(b*x+a)^5","A"
2114,1,393,271,0.059000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(3/2),x)","-\frac{2 \left(-21 b^{6} e^{6} x^{6}-154 a \,b^{5} e^{6} x^{5}+28 b^{6} d \,e^{5} x^{5}-495 a^{2} b^{4} e^{6} x^{4}+220 a \,b^{5} d \,e^{5} x^{4}-40 b^{6} d^{2} e^{4} x^{4}-924 a^{3} b^{3} e^{6} x^{3}+792 a^{2} b^{4} d \,e^{5} x^{3}-352 a \,b^{5} d^{2} e^{4} x^{3}+64 b^{6} d^{3} e^{3} x^{3}-1155 a^{4} b^{2} e^{6} x^{2}+1848 a^{3} b^{3} d \,e^{5} x^{2}-1584 a^{2} b^{4} d^{2} e^{4} x^{2}+704 a \,b^{5} d^{3} e^{3} x^{2}-128 b^{6} d^{4} e^{2} x^{2}-1386 a^{5} b \,e^{6} x +4620 a^{4} b^{2} d \,e^{5} x -7392 a^{3} b^{3} d^{2} e^{4} x +6336 a^{2} b^{4} d^{3} e^{3} x -2816 a \,b^{5} d^{4} e^{2} x +512 b^{6} d^{5} e x +231 a^{6} e^{6}-2772 a^{5} b d \,e^{5}+9240 a^{4} b^{2} d^{2} e^{4}-14784 a^{3} b^{3} d^{3} e^{3}+12672 a^{2} b^{4} d^{4} e^{2}-5632 a \,b^{5} d^{5} e +1024 b^{6} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{231 \sqrt{e x +d}\, \left(b x +a \right)^{5} e^{7}}"," ",0,"-2/231/(e*x+d)^(1/2)*(-21*b^6*e^6*x^6-154*a*b^5*e^6*x^5+28*b^6*d*e^5*x^5-495*a^2*b^4*e^6*x^4+220*a*b^5*d*e^5*x^4-40*b^6*d^2*e^4*x^4-924*a^3*b^3*e^6*x^3+792*a^2*b^4*d*e^5*x^3-352*a*b^5*d^2*e^4*x^3+64*b^6*d^3*e^3*x^3-1155*a^4*b^2*e^6*x^2+1848*a^3*b^3*d*e^5*x^2-1584*a^2*b^4*d^2*e^4*x^2+704*a*b^5*d^3*e^3*x^2-128*b^6*d^4*e^2*x^2-1386*a^5*b*e^6*x+4620*a^4*b^2*d*e^5*x-7392*a^3*b^3*d^2*e^4*x+6336*a^2*b^4*d^3*e^3*x-2816*a*b^5*d^4*e^2*x+512*b^6*d^5*e*x+231*a^6*e^6-2772*a^5*b*d*e^5+9240*a^4*b^2*d^2*e^4-14784*a^3*b^3*d^3*e^3+12672*a^2*b^4*d^4*e^2-5632*a*b^5*d^5*e+1024*b^6*d^6)*((b*x+a)^2)^(5/2)/e^7/(b*x+a)^5","A"
2115,1,393,271,0.050000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(5/2),x)","-\frac{2 \left(-7 b^{6} e^{6} x^{6}-54 a \,b^{5} e^{6} x^{5}+12 b^{6} d \,e^{5} x^{5}-189 a^{2} b^{4} e^{6} x^{4}+108 a \,b^{5} d \,e^{5} x^{4}-24 b^{6} d^{2} e^{4} x^{4}-420 a^{3} b^{3} e^{6} x^{3}+504 a^{2} b^{4} d \,e^{5} x^{3}-288 a \,b^{5} d^{2} e^{4} x^{3}+64 b^{6} d^{3} e^{3} x^{3}-945 a^{4} b^{2} e^{6} x^{2}+2520 a^{3} b^{3} d \,e^{5} x^{2}-3024 a^{2} b^{4} d^{2} e^{4} x^{2}+1728 a \,b^{5} d^{3} e^{3} x^{2}-384 b^{6} d^{4} e^{2} x^{2}+378 a^{5} b \,e^{6} x -3780 a^{4} b^{2} d \,e^{5} x +10080 a^{3} b^{3} d^{2} e^{4} x -12096 a^{2} b^{4} d^{3} e^{3} x +6912 a \,b^{5} d^{4} e^{2} x -1536 b^{6} d^{5} e x +21 a^{6} e^{6}+252 a^{5} b d \,e^{5}-2520 a^{4} b^{2} d^{2} e^{4}+6720 a^{3} b^{3} d^{3} e^{3}-8064 a^{2} b^{4} d^{4} e^{2}+4608 a \,b^{5} d^{5} e -1024 b^{6} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{63 \left(e x +d \right)^{\frac{3}{2}} \left(b x +a \right)^{5} e^{7}}"," ",0,"-2/63/(e*x+d)^(3/2)*(-7*b^6*e^6*x^6-54*a*b^5*e^6*x^5+12*b^6*d*e^5*x^5-189*a^2*b^4*e^6*x^4+108*a*b^5*d*e^5*x^4-24*b^6*d^2*e^4*x^4-420*a^3*b^3*e^6*x^3+504*a^2*b^4*d*e^5*x^3-288*a*b^5*d^2*e^4*x^3+64*b^6*d^3*e^3*x^3-945*a^4*b^2*e^6*x^2+2520*a^3*b^3*d*e^5*x^2-3024*a^2*b^4*d^2*e^4*x^2+1728*a*b^5*d^3*e^3*x^2-384*b^6*d^4*e^2*x^2+378*a^5*b*e^6*x-3780*a^4*b^2*d*e^5*x+10080*a^3*b^3*d^2*e^4*x-12096*a^2*b^4*d^3*e^3*x+6912*a*b^5*d^4*e^2*x-1536*b^6*d^5*e*x+21*a^6*e^6+252*a^5*b*d*e^5-2520*a^4*b^2*d^2*e^4+6720*a^3*b^3*d^3*e^3-8064*a^2*b^4*d^4*e^2+4608*a*b^5*d^5*e-1024*b^6*d^6)*((b*x+a)^2)^(5/2)/e^7/(b*x+a)^5","A"
2116,1,393,271,0.053000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(7/2),x)","-\frac{2 \left(-5 b^{6} e^{6} x^{6}-42 a \,b^{5} e^{6} x^{5}+12 b^{6} d \,e^{5} x^{5}-175 a^{2} b^{4} e^{6} x^{4}+140 a \,b^{5} d \,e^{5} x^{4}-40 b^{6} d^{2} e^{4} x^{4}-700 a^{3} b^{3} e^{6} x^{3}+1400 a^{2} b^{4} d \,e^{5} x^{3}-1120 a \,b^{5} d^{2} e^{4} x^{3}+320 b^{6} d^{3} e^{3} x^{3}+525 a^{4} b^{2} e^{6} x^{2}-4200 a^{3} b^{3} d \,e^{5} x^{2}+8400 a^{2} b^{4} d^{2} e^{4} x^{2}-6720 a \,b^{5} d^{3} e^{3} x^{2}+1920 b^{6} d^{4} e^{2} x^{2}+70 a^{5} b \,e^{6} x +700 a^{4} b^{2} d \,e^{5} x -5600 a^{3} b^{3} d^{2} e^{4} x +11200 a^{2} b^{4} d^{3} e^{3} x -8960 a \,b^{5} d^{4} e^{2} x +2560 b^{6} d^{5} e x +7 a^{6} e^{6}+28 a^{5} b d \,e^{5}+280 a^{4} b^{2} d^{2} e^{4}-2240 a^{3} b^{3} d^{3} e^{3}+4480 a^{2} b^{4} d^{4} e^{2}-3584 a \,b^{5} d^{5} e +1024 b^{6} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{35 \left(e x +d \right)^{\frac{5}{2}} \left(b x +a \right)^{5} e^{7}}"," ",0,"-2/35/(e*x+d)^(5/2)*(-5*b^6*e^6*x^6-42*a*b^5*e^6*x^5+12*b^6*d*e^5*x^5-175*a^2*b^4*e^6*x^4+140*a*b^5*d*e^5*x^4-40*b^6*d^2*e^4*x^4-700*a^3*b^3*e^6*x^3+1400*a^2*b^4*d*e^5*x^3-1120*a*b^5*d^2*e^4*x^3+320*b^6*d^3*e^3*x^3+525*a^4*b^2*e^6*x^2-4200*a^3*b^3*d*e^5*x^2+8400*a^2*b^4*d^2*e^4*x^2-6720*a*b^5*d^3*e^3*x^2+1920*b^6*d^4*e^2*x^2+70*a^5*b*e^6*x+700*a^4*b^2*d*e^5*x-5600*a^3*b^3*d^2*e^4*x+11200*a^2*b^4*d^3*e^3*x-8960*a*b^5*d^4*e^2*x+2560*b^6*d^5*e*x+7*a^6*e^6+28*a^5*b*d*e^5+280*a^4*b^2*d^2*e^4-2240*a^3*b^3*d^3*e^3+4480*a^2*b^4*d^4*e^2-3584*a*b^5*d^5*e+1024*b^6*d^6)*((b*x+a)^2)^(5/2)/e^7/(b*x+a)^5","A"
2117,1,393,271,0.053000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(9/2),x)","-\frac{2 \left(-7 b^{6} e^{6} x^{6}-70 a \,b^{5} e^{6} x^{5}+28 b^{6} d \,e^{5} x^{5}-525 a^{2} b^{4} e^{6} x^{4}+700 a \,b^{5} d \,e^{5} x^{4}-280 b^{6} d^{2} e^{4} x^{4}+700 a^{3} b^{3} e^{6} x^{3}-4200 a^{2} b^{4} d \,e^{5} x^{3}+5600 a \,b^{5} d^{2} e^{4} x^{3}-2240 b^{6} d^{3} e^{3} x^{3}+175 a^{4} b^{2} e^{6} x^{2}+1400 a^{3} b^{3} d \,e^{5} x^{2}-8400 a^{2} b^{4} d^{2} e^{4} x^{2}+11200 a \,b^{5} d^{3} e^{3} x^{2}-4480 b^{6} d^{4} e^{2} x^{2}+42 a^{5} b \,e^{6} x +140 a^{4} b^{2} d \,e^{5} x +1120 a^{3} b^{3} d^{2} e^{4} x -6720 a^{2} b^{4} d^{3} e^{3} x +8960 a \,b^{5} d^{4} e^{2} x -3584 b^{6} d^{5} e x +5 a^{6} e^{6}+12 a^{5} b d \,e^{5}+40 a^{4} b^{2} d^{2} e^{4}+320 a^{3} b^{3} d^{3} e^{3}-1920 a^{2} b^{4} d^{4} e^{2}+2560 a \,b^{5} d^{5} e -1024 b^{6} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{35 \left(e x +d \right)^{\frac{7}{2}} \left(b x +a \right)^{5} e^{7}}"," ",0,"-2/35/(e*x+d)^(7/2)*(-7*b^6*e^6*x^6-70*a*b^5*e^6*x^5+28*b^6*d*e^5*x^5-525*a^2*b^4*e^6*x^4+700*a*b^5*d*e^5*x^4-280*b^6*d^2*e^4*x^4+700*a^3*b^3*e^6*x^3-4200*a^2*b^4*d*e^5*x^3+5600*a*b^5*d^2*e^4*x^3-2240*b^6*d^3*e^3*x^3+175*a^4*b^2*e^6*x^2+1400*a^3*b^3*d*e^5*x^2-8400*a^2*b^4*d^2*e^4*x^2+11200*a*b^5*d^3*e^3*x^2-4480*b^6*d^4*e^2*x^2+42*a^5*b*e^6*x+140*a^4*b^2*d*e^5*x+1120*a^3*b^3*d^2*e^4*x-6720*a^2*b^4*d^3*e^3*x+8960*a*b^5*d^4*e^2*x-3584*b^6*d^5*e*x+5*a^6*e^6+12*a^5*b*d*e^5+40*a^4*b^2*d^2*e^4+320*a^3*b^3*d^3*e^3-1920*a^2*b^4*d^4*e^2+2560*a*b^5*d^5*e-1024*b^6*d^6)*((b*x+a)^2)^(5/2)/e^7/(b*x+a)^5","A"
2118,1,393,271,0.046000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(11/2),x)","-\frac{2 \left(-21 b^{6} e^{6} x^{6}-378 a \,b^{5} e^{6} x^{5}+252 b^{6} d \,e^{5} x^{5}+945 a^{2} b^{4} e^{6} x^{4}-3780 a \,b^{5} d \,e^{5} x^{4}+2520 b^{6} d^{2} e^{4} x^{4}+420 a^{3} b^{3} e^{6} x^{3}+2520 a^{2} b^{4} d \,e^{5} x^{3}-10080 a \,b^{5} d^{2} e^{4} x^{3}+6720 b^{6} d^{3} e^{3} x^{3}+189 a^{4} b^{2} e^{6} x^{2}+504 a^{3} b^{3} d \,e^{5} x^{2}+3024 a^{2} b^{4} d^{2} e^{4} x^{2}-12096 a \,b^{5} d^{3} e^{3} x^{2}+8064 b^{6} d^{4} e^{2} x^{2}+54 a^{5} b \,e^{6} x +108 a^{4} b^{2} d \,e^{5} x +288 a^{3} b^{3} d^{2} e^{4} x +1728 a^{2} b^{4} d^{3} e^{3} x -6912 a \,b^{5} d^{4} e^{2} x +4608 b^{6} d^{5} e x +7 a^{6} e^{6}+12 a^{5} b d \,e^{5}+24 a^{4} b^{2} d^{2} e^{4}+64 a^{3} b^{3} d^{3} e^{3}+384 a^{2} b^{4} d^{4} e^{2}-1536 a \,b^{5} d^{5} e +1024 b^{6} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{63 \left(e x +d \right)^{\frac{9}{2}} \left(b x +a \right)^{5} e^{7}}"," ",0,"-2/63/(e*x+d)^(9/2)*(-21*b^6*e^6*x^6-378*a*b^5*e^6*x^5+252*b^6*d*e^5*x^5+945*a^2*b^4*e^6*x^4-3780*a*b^5*d*e^5*x^4+2520*b^6*d^2*e^4*x^4+420*a^3*b^3*e^6*x^3+2520*a^2*b^4*d*e^5*x^3-10080*a*b^5*d^2*e^4*x^3+6720*b^6*d^3*e^3*x^3+189*a^4*b^2*e^6*x^2+504*a^3*b^3*d*e^5*x^2+3024*a^2*b^4*d^2*e^4*x^2-12096*a*b^5*d^3*e^3*x^2+8064*b^6*d^4*e^2*x^2+54*a^5*b*e^6*x+108*a^4*b^2*d*e^5*x+288*a^3*b^3*d^2*e^4*x+1728*a^2*b^4*d^3*e^3*x-6912*a*b^5*d^4*e^2*x+4608*b^6*d^5*e*x+7*a^6*e^6+12*a^5*b*d*e^5+24*a^4*b^2*d^2*e^4+64*a^3*b^3*d^3*e^3+384*a^2*b^4*d^4*e^2-1536*a*b^5*d^5*e+1024*b^6*d^6)*((b*x+a)^2)^(5/2)/e^7/(b*x+a)^5","A"
2119,1,393,271,0.055000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(13/2),x)","-\frac{2 \left(-231 b^{6} e^{6} x^{6}+1386 a \,b^{5} e^{6} x^{5}-2772 b^{6} d \,e^{5} x^{5}+1155 a^{2} b^{4} e^{6} x^{4}+4620 a \,b^{5} d \,e^{5} x^{4}-9240 b^{6} d^{2} e^{4} x^{4}+924 a^{3} b^{3} e^{6} x^{3}+1848 a^{2} b^{4} d \,e^{5} x^{3}+7392 a \,b^{5} d^{2} e^{4} x^{3}-14784 b^{6} d^{3} e^{3} x^{3}+495 a^{4} b^{2} e^{6} x^{2}+792 a^{3} b^{3} d \,e^{5} x^{2}+1584 a^{2} b^{4} d^{2} e^{4} x^{2}+6336 a \,b^{5} d^{3} e^{3} x^{2}-12672 b^{6} d^{4} e^{2} x^{2}+154 a^{5} b \,e^{6} x +220 a^{4} b^{2} d \,e^{5} x +352 a^{3} b^{3} d^{2} e^{4} x +704 a^{2} b^{4} d^{3} e^{3} x +2816 a \,b^{5} d^{4} e^{2} x -5632 b^{6} d^{5} e x +21 a^{6} e^{6}+28 a^{5} b d \,e^{5}+40 a^{4} b^{2} d^{2} e^{4}+64 a^{3} b^{3} d^{3} e^{3}+128 a^{2} b^{4} d^{4} e^{2}+512 a \,b^{5} d^{5} e -1024 b^{6} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{231 \left(e x +d \right)^{\frac{11}{2}} \left(b x +a \right)^{5} e^{7}}"," ",0,"-2/231/(e*x+d)^(11/2)*(-231*b^6*e^6*x^6+1386*a*b^5*e^6*x^5-2772*b^6*d*e^5*x^5+1155*a^2*b^4*e^6*x^4+4620*a*b^5*d*e^5*x^4-9240*b^6*d^2*e^4*x^4+924*a^3*b^3*e^6*x^3+1848*a^2*b^4*d*e^5*x^3+7392*a*b^5*d^2*e^4*x^3-14784*b^6*d^3*e^3*x^3+495*a^4*b^2*e^6*x^2+792*a^3*b^3*d*e^5*x^2+1584*a^2*b^4*d^2*e^4*x^2+6336*a*b^5*d^3*e^3*x^2-12672*b^6*d^4*e^2*x^2+154*a^5*b*e^6*x+220*a^4*b^2*d*e^5*x+352*a^3*b^3*d^2*e^4*x+704*a^2*b^4*d^3*e^3*x+2816*a*b^5*d^4*e^2*x-5632*b^6*d^5*e*x+21*a^6*e^6+28*a^5*b*d*e^5+40*a^4*b^2*d^2*e^4+64*a^3*b^3*d^3*e^3+128*a^2*b^4*d^4*e^2+512*a*b^5*d^5*e-1024*b^6*d^6)*((b*x+a)^2)^(5/2)/e^7/(b*x+a)^5","A"
2120,1,393,271,0.050000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(15/2),x)","-\frac{2 \left(3003 b^{6} e^{6} x^{6}+6006 a \,b^{5} e^{6} x^{5}+12012 b^{6} d \,e^{5} x^{5}+9009 a^{2} b^{4} e^{6} x^{4}+12012 a \,b^{5} d \,e^{5} x^{4}+24024 b^{6} d^{2} e^{4} x^{4}+8580 a^{3} b^{3} e^{6} x^{3}+10296 a^{2} b^{4} d \,e^{5} x^{3}+13728 a \,b^{5} d^{2} e^{4} x^{3}+27456 b^{6} d^{3} e^{3} x^{3}+5005 a^{4} b^{2} e^{6} x^{2}+5720 a^{3} b^{3} d \,e^{5} x^{2}+6864 a^{2} b^{4} d^{2} e^{4} x^{2}+9152 a \,b^{5} d^{3} e^{3} x^{2}+18304 b^{6} d^{4} e^{2} x^{2}+1638 a^{5} b \,e^{6} x +1820 a^{4} b^{2} d \,e^{5} x +2080 a^{3} b^{3} d^{2} e^{4} x +2496 a^{2} b^{4} d^{3} e^{3} x +3328 a \,b^{5} d^{4} e^{2} x +6656 b^{6} d^{5} e x +231 a^{6} e^{6}+252 a^{5} b d \,e^{5}+280 a^{4} b^{2} d^{2} e^{4}+320 a^{3} b^{3} d^{3} e^{3}+384 a^{2} b^{4} d^{4} e^{2}+512 a \,b^{5} d^{5} e +1024 b^{6} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{3003 \left(e x +d \right)^{\frac{13}{2}} \left(b x +a \right)^{5} e^{7}}"," ",0,"-2/3003/(e*x+d)^(13/2)*(3003*b^6*e^6*x^6+6006*a*b^5*e^6*x^5+12012*b^6*d*e^5*x^5+9009*a^2*b^4*e^6*x^4+12012*a*b^5*d*e^5*x^4+24024*b^6*d^2*e^4*x^4+8580*a^3*b^3*e^6*x^3+10296*a^2*b^4*d*e^5*x^3+13728*a*b^5*d^2*e^4*x^3+27456*b^6*d^3*e^3*x^3+5005*a^4*b^2*e^6*x^2+5720*a^3*b^3*d*e^5*x^2+6864*a^2*b^4*d^2*e^4*x^2+9152*a*b^5*d^3*e^3*x^2+18304*b^6*d^4*e^2*x^2+1638*a^5*b*e^6*x+1820*a^4*b^2*d*e^5*x+2080*a^3*b^3*d^2*e^4*x+2496*a^2*b^4*d^3*e^3*x+3328*a*b^5*d^4*e^2*x+6656*b^6*d^5*e*x+231*a^6*e^6+252*a^5*b*d*e^5+280*a^4*b^2*d^2*e^4+320*a^3*b^3*d^3*e^3+384*a^2*b^4*d^4*e^2+512*a*b^5*d^5*e+1024*b^6*d^6)*((b*x+a)^2)^(5/2)/e^7/(b*x+a)^5","A"
2121,1,393,271,0.051000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(17/2),x)","-\frac{2 \left(15015 b^{6} e^{6} x^{6}+54054 a \,b^{5} e^{6} x^{5}+36036 b^{6} d \,e^{5} x^{5}+96525 a^{2} b^{4} e^{6} x^{4}+77220 a \,b^{5} d \,e^{5} x^{4}+51480 b^{6} d^{2} e^{4} x^{4}+100100 a^{3} b^{3} e^{6} x^{3}+85800 a^{2} b^{4} d \,e^{5} x^{3}+68640 a \,b^{5} d^{2} e^{4} x^{3}+45760 b^{6} d^{3} e^{3} x^{3}+61425 a^{4} b^{2} e^{6} x^{2}+54600 a^{3} b^{3} d \,e^{5} x^{2}+46800 a^{2} b^{4} d^{2} e^{4} x^{2}+37440 a \,b^{5} d^{3} e^{3} x^{2}+24960 b^{6} d^{4} e^{2} x^{2}+20790 a^{5} b \,e^{6} x +18900 a^{4} b^{2} d \,e^{5} x +16800 a^{3} b^{3} d^{2} e^{4} x +14400 a^{2} b^{4} d^{3} e^{3} x +11520 a \,b^{5} d^{4} e^{2} x +7680 b^{6} d^{5} e x +3003 a^{6} e^{6}+2772 a^{5} b d \,e^{5}+2520 a^{4} b^{2} d^{2} e^{4}+2240 a^{3} b^{3} d^{3} e^{3}+1920 a^{2} b^{4} d^{4} e^{2}+1536 a \,b^{5} d^{5} e +1024 b^{6} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}{45045 \left(e x +d \right)^{\frac{15}{2}} \left(b x +a \right)^{5} e^{7}}"," ",0,"-2/45045/(e*x+d)^(15/2)*(15015*b^6*e^6*x^6+54054*a*b^5*e^6*x^5+36036*b^6*d*e^5*x^5+96525*a^2*b^4*e^6*x^4+77220*a*b^5*d*e^5*x^4+51480*b^6*d^2*e^4*x^4+100100*a^3*b^3*e^6*x^3+85800*a^2*b^4*d*e^5*x^3+68640*a*b^5*d^2*e^4*x^3+45760*b^6*d^3*e^3*x^3+61425*a^4*b^2*e^6*x^2+54600*a^3*b^3*d*e^5*x^2+46800*a^2*b^4*d^2*e^4*x^2+37440*a*b^5*d^3*e^3*x^2+24960*b^6*d^4*e^2*x^2+20790*a^5*b*e^6*x+18900*a^4*b^2*d*e^5*x+16800*a^3*b^3*d^2*e^4*x+14400*a^2*b^4*d^3*e^3*x+11520*a*b^5*d^4*e^2*x+7680*b^6*d^5*e*x+3003*a^6*e^6+2772*a^5*b*d*e^5+2520*a^4*b^2*d^2*e^4+2240*a^3*b^3*d^3*e^3+1920*a^2*b^4*d^4*e^2+1536*a*b^5*d^5*e+1024*b^6*d^6)*((b*x+a)^2)^(5/2)/e^7/(b*x+a)^5","A"
2122,1,27,26,0.044000," ","int((b*x+a)*(e*x+d)^(7/2)/((b*x+a)^2)^(1/2),x)","\frac{2 \left(b x +a \right) \left(e x +d \right)^{\frac{9}{2}}}{9 \sqrt{\left(b x +a \right)^{2}}\, e}"," ",0,"2/9*(b*x+a)*(e*x+d)^(9/2)/e/((b*x+a)^2)^(1/2)","A"
2123,1,27,26,0.047000," ","int((b*x+a)*(e*x+d)^(5/2)/((b*x+a)^2)^(1/2),x)","\frac{2 \left(b x +a \right) \left(e x +d \right)^{\frac{7}{2}}}{7 \sqrt{\left(b x +a \right)^{2}}\, e}"," ",0,"2/7*(b*x+a)*(e*x+d)^(7/2)/e/((b*x+a)^2)^(1/2)","A"
2124,1,27,26,0.046000," ","int((b*x+a)*(e*x+d)^(3/2)/((b*x+a)^2)^(1/2),x)","\frac{2 \left(b x +a \right) \left(e x +d \right)^{\frac{5}{2}}}{5 \sqrt{\left(b x +a \right)^{2}}\, e}"," ",0,"2/5*(b*x+a)*(e*x+d)^(5/2)/e/((b*x+a)^2)^(1/2)","A"
2125,1,27,26,0.046000," ","int((b*x+a)*(e*x+d)^(1/2)/((b*x+a)^2)^(1/2),x)","\frac{2 \left(b x +a \right) \left(e x +d \right)^{\frac{3}{2}}}{3 \sqrt{\left(b x +a \right)^{2}}\, e}"," ",0,"2/3*(b*x+a)*(e*x+d)^(3/2)/e/((b*x+a)^2)^(1/2)","A"
2126,1,27,26,0.048000," ","int((b*x+a)/(e*x+d)^(1/2)/((b*x+a)^2)^(1/2),x)","\frac{2 \left(b x +a \right) \sqrt{e x +d}}{\sqrt{\left(b x +a \right)^{2}}\, e}"," ",0,"2*(b*x+a)*(e*x+d)^(1/2)/e/((b*x+a)^2)^(1/2)","A"
2127,1,27,26,0.046000," ","int((b*x+a)/(e*x+d)^(3/2)/((b*x+a)^2)^(1/2),x)","-\frac{2 \left(b x +a \right)}{\sqrt{e x +d}\, \sqrt{\left(b x +a \right)^{2}}\, e}"," ",0,"-2*(b*x+a)/e/(e*x+d)^(1/2)/((b*x+a)^2)^(1/2)","A"
2128,1,27,26,0.053000," ","int((b*x+a)/(e*x+d)^(5/2)/((b*x+a)^2)^(1/2),x)","-\frac{2 \left(b x +a \right)}{3 \left(e x +d \right)^{\frac{3}{2}} \sqrt{\left(b x +a \right)^{2}}\, e}"," ",0,"-2/3*(b*x+a)/e/(e*x+d)^(3/2)/((b*x+a)^2)^(1/2)","A"
2129,1,27,26,0.045000," ","int((b*x+a)/(e*x+d)^(7/2)/((b*x+a)^2)^(1/2),x)","-\frac{2 \left(b x +a \right)}{5 \left(e x +d \right)^{\frac{5}{2}} \sqrt{\left(b x +a \right)^{2}}\, e}"," ",0,"-2/5*(b*x+a)/e/(e*x+d)^(5/2)/((b*x+a)^2)^(1/2)","A"
2130,1,662,173,0.075000," ","int((b*x+a)*(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(-105 a^{3} b \,e^{4} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+315 a^{2} b^{2} d \,e^{3} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-315 a \,b^{3} d^{2} e^{2} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+105 b^{4} d^{3} e x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-105 a^{4} e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+315 a^{3} b d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-315 a^{2} b^{2} d^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+105 a \,b^{3} d^{3} e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+90 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, a^{2} b \,e^{3} x -180 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, a \,b^{2} d \,e^{2} x +90 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, b^{3} d^{2} e x +105 \sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\, a^{3} e^{3}-225 \sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\, a^{2} b d \,e^{2}+135 \sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\, a \,b^{2} d^{2} e -20 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} a \,b^{2} e^{2} x -15 \sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\, b^{3} d^{3}+20 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} b^{3} d e x -20 \left(e x +d \right)^{\frac{3}{2}} \sqrt{\left(a e -b d \right) b}\, a^{2} b \,e^{2}+20 \left(e x +d \right)^{\frac{3}{2}} \sqrt{\left(a e -b d \right) b}\, a \,b^{2} d e +6 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} b^{3} e x +6 \left(e x +d \right)^{\frac{5}{2}} \sqrt{\left(a e -b d \right) b}\, a \,b^{2} e \right) \left(b x +a \right)^{2}}{15 \sqrt{\left(a e -b d \right) b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b^{4}}"," ",0,"1/15*(6*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*x*b^3*e+6*(e*x+d)^(5/2)*((a*e-b*d)*b)^(1/2)*a*b^2*e-20*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*x*a*b^2*e^2+20*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*x*b^3*d*e-105*a^3*b*e^4*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+315*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a^2*b^2*d*e^3-315*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a*b^3*d^2*e^2+105*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*b^4*d^3*e-20*(e*x+d)^(3/2)*((a*e-b*d)*b)^(1/2)*a^2*b*e^2+20*(e*x+d)^(3/2)*((a*e-b*d)*b)^(1/2)*a*b^2*d*e+90*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x*a^2*b*e^3-180*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x*a*b^2*d*e^2+90*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x*b^3*d^2*e-105*a^4*e^4*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+315*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^3*b*d*e^3-315*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^2*b^2*d^2*e^2+105*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*b^3*d^3*e+105*(e*x+d)^(1/2)*((a*e-b*d)*b)^(1/2)*a^3*e^3-225*(e*x+d)^(1/2)*((a*e-b*d)*b)^(1/2)*a^2*b*d*e^2+135*(e*x+d)^(1/2)*((a*e-b*d)*b)^(1/2)*a*b^2*d^2*e-15*(e*x+d)^(1/2)*((a*e-b*d)*b)^(1/2)*b^3*d^3)*(b*x+a)^2/((a*e-b*d)*b)^(1/2)/b^4/((b*x+a)^2)^(3/2)","B"
2131,1,409,136,0.063000," ","int((b*x+a)*(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(15 a^{2} b \,e^{3} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-30 a \,b^{2} d \,e^{2} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+15 b^{3} d^{2} e x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+15 a^{3} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-30 a^{2} b d \,e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+15 a \,b^{2} d^{2} e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-12 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, a b \,e^{2} x +12 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, b^{2} d e x -15 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, a^{2} e^{2}+18 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, a b d e -3 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, b^{2} d^{2}+2 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} b^{2} e x +2 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} a b e \right) \left(b x +a \right)^{2}}{3 \sqrt{\left(a e -b d \right) b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b^{3}}"," ",0,"1/3*(2*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*x*b^2*e+15*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a^2*b*e^3-30*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a*b^2*d*e^2+15*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*b^3*d^2*e+2*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a*b*e-12*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x*a*b*e^2+12*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x*b^2*d*e+15*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^3*e^3-30*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^2*b*d*e^2+15*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*b^2*d^2*e-15*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^2*e^2+18*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a*b*d*e-3*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*b^2*d^2)*(b*x+a)^2/((a*e-b*d)*b)^(1/2)/b^3/((b*x+a)^2)^(3/2)","B"
2132,1,222,101,0.069000," ","int((b*x+a)*(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(-3 a b \,e^{2} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+3 b^{2} d e x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-3 a^{2} e^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+3 a b d e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+2 \sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\, b e x +3 \sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\, a e -\sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\, b d \right) \left(b x +a \right)^{2}}{\sqrt{\left(a e -b d \right) b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b^{2}}"," ",0,"(-3*a*b*e^2*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*b^2*d*e+2*(e*x+d)^(1/2)*((a*e-b*d)*b)^(1/2)*b*e*x-3*a^2*e^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*b*d*e+3*(e*x+d)^(1/2)*((a*e-b*d)*b)^(1/2)*a*e-(e*x+d)^(1/2)*((a*e-b*d)*b)^(1/2)*b*d)*(b*x+a)^2/((a*e-b*d)*b)^(1/2)/b^2/((b*x+a)^2)^(3/2)","B"
2133,1,108,74,0.063000," ","int((b*x+a)*(e*x+d)^(1/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","-\frac{\left(-b e x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-a e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+\sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\right) \left(b x +a \right)^{2}}{\sqrt{\left(a e -b d \right) b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} b}"," ",0,"-(-arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*b*e-arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a*e+(e*x+d)^(1/2)*((a*e-b*d)*b)^(1/2))*(b*x+a)^2/((a*e-b*d)*b)^(1/2)/b/((b*x+a)^2)^(3/2)","A"
2134,1,112,80,0.064000," ","int((b*x+a)/(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(1/2),x)","\frac{\left(b e x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+a e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+\sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\right) \left(b x +a \right)^{2}}{\sqrt{\left(a e -b d \right) b}\, \left(a e -b d \right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}"," ",0,"(b*e*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+a*e*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+(e*x+d)^(1/2)*((a*e-b*d)*b)^(1/2))*(b*x+a)^2/((a*e-b*d)*b)^(1/2)/(a*e-b*d)/((b*x+a)^2)^(3/2)","A"
2135,1,167,115,0.069000," ","int((b*x+a)/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","-\frac{\left(3 \sqrt{e x +d}\, b^{2} e x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+3 \sqrt{e x +d}\, a b e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+3 \sqrt{\left(a e -b d \right) b}\, b e x +2 \sqrt{\left(a e -b d \right) b}\, a e +\sqrt{\left(a e -b d \right) b}\, b d \right) \left(b x +a \right)^{2}}{\sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\, \left(a e -b d \right)^{2} \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}"," ",0,"-(3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*x*b^2*e+3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*a*b*e+3*((a*e-b*d)*b)^(1/2)*x*b*e+2*((a*e-b*d)*b)^(1/2)*a*e+((a*e-b*d)*b)^(1/2)*b*d)*(b*x+a)^2/(e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)/(a*e-b*d)^2/((b*x+a)^2)^(3/2)","A"
2136,1,242,150,0.068000," ","int((b*x+a)/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(15 \left(e x +d \right)^{\frac{3}{2}} b^{3} e x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+15 \sqrt{\left(a e -b d \right) b}\, b^{2} e^{2} x^{2}+15 \left(e x +d \right)^{\frac{3}{2}} a \,b^{2} e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+10 \sqrt{\left(a e -b d \right) b}\, a b \,e^{2} x +20 \sqrt{\left(a e -b d \right) b}\, b^{2} d e x -2 \sqrt{\left(a e -b d \right) b}\, a^{2} e^{2}+14 \sqrt{\left(a e -b d \right) b}\, a b d e +3 \sqrt{\left(a e -b d \right) b}\, b^{2} d^{2}\right) \left(b x +a \right)^{2}}{3 \left(e x +d \right)^{\frac{3}{2}} \sqrt{\left(a e -b d \right) b}\, \left(a e -b d \right)^{3} \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}"," ",0,"1/3*(15*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*x*b^3*e+15*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*a*b^2*e+15*((a*e-b*d)*b)^(1/2)*x^2*b^2*e^2+10*((a*e-b*d)*b)^(1/2)*x*a*b*e^2+20*((a*e-b*d)*b)^(1/2)*x*b^2*d*e-2*((a*e-b*d)*b)^(1/2)*a^2*e^2+14*((a*e-b*d)*b)^(1/2)*a*b*d*e+3*((a*e-b*d)*b)^(1/2)*b^2*d^2)*(b*x+a)^2/(e*x+d)^(3/2)/((a*e-b*d)*b)^(1/2)/(a*e-b*d)^3/((b*x+a)^2)^(3/2)","A"
2137,1,343,187,0.070000," ","int((b*x+a)/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","-\frac{\left(105 \sqrt{\left(a e -b d \right) b}\, b^{3} e^{3} x^{3}+70 \sqrt{\left(a e -b d \right) b}\, a \,b^{2} e^{3} x^{2}+245 \sqrt{\left(a e -b d \right) b}\, b^{3} d \,e^{2} x^{2}-14 \sqrt{\left(a e -b d \right) b}\, a^{2} b \,e^{3} x +168 \sqrt{\left(a e -b d \right) b}\, a \,b^{2} d \,e^{2} x +105 \left(e x +d \right)^{\frac{5}{2}} b^{4} e x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+161 \sqrt{\left(a e -b d \right) b}\, b^{3} d^{2} e x +6 \sqrt{\left(a e -b d \right) b}\, a^{3} e^{3}-32 \sqrt{\left(a e -b d \right) b}\, a^{2} b d \,e^{2}+105 \left(e x +d \right)^{\frac{5}{2}} a \,b^{3} e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+116 \sqrt{\left(a e -b d \right) b}\, a \,b^{2} d^{2} e +15 \sqrt{\left(a e -b d \right) b}\, b^{3} d^{3}\right) \left(b x +a \right)^{2}}{15 \left(e x +d \right)^{\frac{5}{2}} \sqrt{\left(a e -b d \right) b}\, \left(a e -b d \right)^{4} \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}}}"," ",0,"-1/15*(105*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*x*b^4*e+105*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(5/2)*a*b^3*e+105*((a*e-b*d)*b)^(1/2)*x^3*b^3*e^3+70*((a*e-b*d)*b)^(1/2)*x^2*a*b^2*e^3+245*((a*e-b*d)*b)^(1/2)*x^2*b^3*d*e^2-14*((a*e-b*d)*b)^(1/2)*x*a^2*b*e^3+168*((a*e-b*d)*b)^(1/2)*x*a*b^2*d*e^2+161*((a*e-b*d)*b)^(1/2)*x*b^3*d^2*e+6*((a*e-b*d)*b)^(1/2)*a^3*e^3-32*((a*e-b*d)*b)^(1/2)*a^2*b*d*e^2+116*((a*e-b*d)*b)^(1/2)*a*b^2*d^2*e+15*((a*e-b*d)*b)^(1/2)*b^3*d^3)*(b*x+a)^2/(e*x+d)^(5/2)/((a*e-b*d)*b)^(1/2)/(a*e-b*d)^4/((b*x+a)^2)^(3/2)","A"
2138,1,638,167,0.074000," ","int((b*x+a)*(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(-105 a \,b^{3} e^{4} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+105 b^{4} d \,e^{3} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-315 a^{2} b^{2} e^{4} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+315 a \,b^{3} d \,e^{3} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-315 a^{3} b \,e^{4} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+315 a^{2} b^{2} d \,e^{3} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-105 a^{4} e^{4} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+105 a^{3} b d \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+48 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, b^{3} e^{3} x^{3}+144 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, a \,b^{2} e^{3} x^{2}+144 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, a^{2} b \,e^{3} x +105 \sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\, a^{3} e^{3}-171 \sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\, a^{2} b d \,e^{2}+171 \sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\, a \,b^{2} d^{2} e -57 \sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\, b^{3} d^{3}+136 \left(e x +d \right)^{\frac{3}{2}} \sqrt{\left(a e -b d \right) b}\, a^{2} b \,e^{2}-272 \left(e x +d \right)^{\frac{3}{2}} \sqrt{\left(a e -b d \right) b}\, a \,b^{2} d e +136 \left(e x +d \right)^{\frac{3}{2}} \sqrt{\left(a e -b d \right) b}\, b^{3} d^{2}+87 \left(e x +d \right)^{\frac{5}{2}} \sqrt{\left(a e -b d \right) b}\, a \,b^{2} e -87 \left(e x +d \right)^{\frac{5}{2}} \sqrt{\left(a e -b d \right) b}\, b^{3} d \right) \left(b x +a \right)^{2}}{24 \sqrt{\left(a e -b d \right) b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{4}}"," ",0,"1/24*(-105*a*b^3*e^4*x^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+105*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^3*b^4*d*e^3+48*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^3*b^3*e^3-315*a^2*b^2*e^4*x^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+315*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*a*b^3*d*e^3+87*(e*x+d)^(5/2)*((a*e-b*d)*b)^(1/2)*a*b^2*e-87*(e*x+d)^(5/2)*((a*e-b*d)*b)^(1/2)*b^3*d+144*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^2*a*b^2*e^3-315*a^3*b*e^4*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+315*a^2*b^2*d*e^3*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+136*(e*x+d)^(3/2)*((a*e-b*d)*b)^(1/2)*a^2*b*e^2-272*(e*x+d)^(3/2)*((a*e-b*d)*b)^(1/2)*a*b^2*d*e+136*(e*x+d)^(3/2)*((a*e-b*d)*b)^(1/2)*b^3*d^2+144*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^2*b*e^3*x-105*a^4*e^4*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+105*a^3*b*d*e^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+105*(e*x+d)^(1/2)*((a*e-b*d)*b)^(1/2)*a^3*e^3-171*(e*x+d)^(1/2)*((a*e-b*d)*b)^(1/2)*a^2*b*d*e^2+171*(e*x+d)^(1/2)*((a*e-b*d)*b)^(1/2)*a*b^2*d^2*e-57*(e*x+d)^(1/2)*((a*e-b*d)*b)^(1/2)*b^3*d^3)*(b*x+a)^2/((a*e-b*d)*b)^(1/2)/b^4/((b*x+a)^2)^(5/2)","B"
2139,1,316,138,0.106000," ","int((b*x+a)*(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(-15 b^{3} e^{3} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-45 a \,b^{2} e^{3} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-45 a^{2} b \,e^{3} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-15 a^{3} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+15 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, a^{2} e^{2}-30 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, a b d e +15 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, b^{2} d^{2}+40 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} a b e -40 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} b^{2} d +33 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} b^{2}\right) \left(b x +a \right)^{2}}{24 \sqrt{\left(a e -b d \right) b}\, \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{3}}"," ",0,"-1/24*(-15*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^3*b^3*e^3-45*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*a*b^2*e^3+33*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*b^2-45*a^2*b*e^3*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+40*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a*b*e-40*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*b^2*d-15*a^3*e^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+15*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^2*e^2-30*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a*b*d*e+15*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*b^2*d^2)*(b*x+a)^2/((a*e-b*d)*b)^(1/2)/b^3/((b*x+a)^2)^(5/2)","B"
2140,1,326,148,0.067000," ","int((b*x+a)*(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(3 b^{3} e^{3} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+9 a \,b^{2} e^{3} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+9 a^{2} b \,e^{3} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+3 a^{3} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-3 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, a^{2} e^{2}+6 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, a b d e -3 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, b^{2} d^{2}-8 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} a b e +8 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} b^{2} d +3 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} b^{2}\right) \left(b x +a \right)^{2}}{24 \sqrt{\left(a e -b d \right) b}\, \left(a e -b d \right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b^{2}}"," ",0,"1/24*(3*b^3*e^3*x^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+9*a*b^2*e^3*x^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+3*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*b^2+9*a^2*b*e^3*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-8*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a*b*e+8*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*b^2*d+3*a^3*e^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-3*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^2*e^2+6*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a*b*d*e-3*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*b^2*d^2)*(b*x+a)^2/((a*e-b*d)*b)^(1/2)/b^2/(a*e-b*d)/((b*x+a)^2)^(5/2)","B"
2141,1,326,158,0.069000," ","int((b*x+a)*(e*x+d)^(1/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(b x +a \right)^{2} \left(3 b^{3} e^{3} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+9 a \,b^{2} e^{3} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+9 a^{2} b \,e^{3} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+3 a^{3} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)-3 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, a^{2} e^{2}+6 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, a b d e -3 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, b^{2} d^{2}+8 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} a b e -8 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{3}{2}} b^{2} d +3 \sqrt{\left(a e -b d \right) b}\, \left(e x +d \right)^{\frac{5}{2}} b^{2}\right)}{24 \sqrt{\left(a e -b d \right) b}\, \left(a e -b d \right)^{2} \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} b}"," ",0,"1/24*(b*x+a)^2*(3*b^3*e^3*x^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+9*a*b^2*e^3*x^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+3*((a*e-b*d)*b)^(1/2)*(e*x+d)^(5/2)*b^2+9*a^2*b*e^3*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+8*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*a*b*e-8*((a*e-b*d)*b)^(1/2)*(e*x+d)^(3/2)*b^2*d+3*a^3*e^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)-3*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^2*e^2+6*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a*b*d*e-3*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*b^2*d^2)/((a*e-b*d)*b)^(1/2)/b/(a*e-b*d)^2/((b*x+a)^2)^(5/2)","B"
2142,1,334,157,0.065000," ","int((b*x+a)/(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(1/2),x)","\frac{\left(15 b^{3} e^{3} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+45 a \,b^{2} e^{3} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+45 a^{2} b \,e^{3} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+15 a^{3} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+15 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, b^{2} e^{2} x^{2}+40 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, a b \,e^{2} x -10 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, b^{2} d e x +33 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, a^{2} e^{2}-26 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, a b d e +8 \sqrt{\left(a e -b d \right) b}\, \sqrt{e x +d}\, b^{2} d^{2}\right) \left(b x +a \right)^{2}}{24 \sqrt{\left(a e -b d \right) b}\, \left(a e -b d \right)^{3} \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}"," ",0,"1/24*(15*b^3*e^3*x^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+45*a*b^2*e^3*x^2*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+15*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*x^2*b^2*e^2+45*a^2*b*e^3*x*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+40*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a*b*e^2*x-10*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*b^2*d*e*x+15*a^3*e^3*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)+33*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a^2*e^2-26*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*a*b*d*e+8*((a*e-b*d)*b)^(1/2)*(e*x+d)^(1/2)*b^2*d^2)*(b*x+a)^2/((a*e-b*d)*b)^(1/2)/(a*e-b*d)^3/((b*x+a)^2)^(5/2)","B"
2143,1,431,193,0.071000," ","int((b*x+a)/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(105 \sqrt{e x +d}\, b^{4} e^{3} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+315 \sqrt{e x +d}\, a \,b^{3} e^{3} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+315 \sqrt{e x +d}\, a^{2} b^{2} e^{3} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+105 \sqrt{\left(a e -b d \right) b}\, b^{3} e^{3} x^{3}+105 \sqrt{e x +d}\, a^{3} b \,e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+280 \sqrt{\left(a e -b d \right) b}\, a \,b^{2} e^{3} x^{2}+35 \sqrt{\left(a e -b d \right) b}\, b^{3} d \,e^{2} x^{2}+231 \sqrt{\left(a e -b d \right) b}\, a^{2} b \,e^{3} x +98 \sqrt{\left(a e -b d \right) b}\, a \,b^{2} d \,e^{2} x -14 \sqrt{\left(a e -b d \right) b}\, b^{3} d^{2} e x +48 \sqrt{\left(a e -b d \right) b}\, a^{3} e^{3}+87 \sqrt{\left(a e -b d \right) b}\, a^{2} b d \,e^{2}-38 \sqrt{\left(a e -b d \right) b}\, a \,b^{2} d^{2} e +8 \sqrt{\left(a e -b d \right) b}\, b^{3} d^{3}\right) \left(b x +a \right)^{2}}{24 \sqrt{e x +d}\, \sqrt{\left(a e -b d \right) b}\, \left(a e -b d \right)^{4} \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}"," ",0,"-1/24*(105*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*x^3*b^4*e^3+315*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*x^2*a*b^3*e^3+105*((a*e-b*d)*b)^(1/2)*b^3*e^3*x^3+315*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*x*a^2*b^2*e^3+280*((a*e-b*d)*b)^(1/2)*a*b^2*e^3*x^2+35*((a*e-b*d)*b)^(1/2)*b^3*d*e^2*x^2+105*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(1/2)*a^3*b*e^3+231*((a*e-b*d)*b)^(1/2)*a^2*b*e^3*x+98*((a*e-b*d)*b)^(1/2)*a*b^2*d*e^2*x-14*((a*e-b*d)*b)^(1/2)*b^3*d^2*e*x+48*((a*e-b*d)*b)^(1/2)*a^3*e^3+87*((a*e-b*d)*b)^(1/2)*a^2*b*d*e^2-38*((a*e-b*d)*b)^(1/2)*a*b^2*d^2*e+8*((a*e-b*d)*b)^(1/2)*b^3*d^3)*(b*x+a)^2/(e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)/(a*e-b*d)^4/((b*x+a)^2)^(5/2)","B"
2144,1,563,230,0.086000," ","int((b*x+a)/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(315 \left(e x +d \right)^{\frac{3}{2}} b^{5} e^{3} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+315 \sqrt{\left(a e -b d \right) b}\, b^{4} e^{4} x^{4}+945 \left(e x +d \right)^{\frac{3}{2}} a \,b^{4} e^{3} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+840 \sqrt{\left(a e -b d \right) b}\, a \,b^{3} e^{4} x^{3}+420 \sqrt{\left(a e -b d \right) b}\, b^{4} d \,e^{3} x^{3}+945 \left(e x +d \right)^{\frac{3}{2}} a^{2} b^{3} e^{3} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+693 \sqrt{\left(a e -b d \right) b}\, a^{2} b^{2} e^{4} x^{2}+1134 \sqrt{\left(a e -b d \right) b}\, a \,b^{3} d \,e^{3} x^{2}+63 \sqrt{\left(a e -b d \right) b}\, b^{4} d^{2} e^{2} x^{2}+315 \left(e x +d \right)^{\frac{3}{2}} a^{3} b^{2} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+144 \sqrt{\left(a e -b d \right) b}\, a^{3} b \,e^{4} x +954 \sqrt{\left(a e -b d \right) b}\, a^{2} b^{2} d \,e^{3} x +180 \sqrt{\left(a e -b d \right) b}\, a \,b^{3} d^{2} e^{2} x -18 \sqrt{\left(a e -b d \right) b}\, b^{4} d^{3} e x -16 \sqrt{\left(a e -b d \right) b}\, a^{4} e^{4}+208 \sqrt{\left(a e -b d \right) b}\, a^{3} b d \,e^{3}+165 \sqrt{\left(a e -b d \right) b}\, a^{2} b^{2} d^{2} e^{2}-50 \sqrt{\left(a e -b d \right) b}\, a \,b^{3} d^{3} e +8 \sqrt{\left(a e -b d \right) b}\, b^{4} d^{4}\right) \left(b x +a \right)^{2}}{24 \left(e x +d \right)^{\frac{3}{2}} \sqrt{\left(a e -b d \right) b}\, \left(a e -b d \right)^{5} \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}"," ",0,"1/24*(315*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*x^3*b^5*e^3+945*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*x^2*a*b^4*e^3+315*((a*e-b*d)*b)^(1/2)*x^4*b^4*e^4+945*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*x*a^2*b^3*e^3+840*((a*e-b*d)*b)^(1/2)*x^3*a*b^3*e^4+420*((a*e-b*d)*b)^(1/2)*x^3*b^4*d*e^3+315*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*(e*x+d)^(3/2)*a^3*b^2*e^3+693*((a*e-b*d)*b)^(1/2)*x^2*a^2*b^2*e^4+1134*((a*e-b*d)*b)^(1/2)*x^2*a*b^3*d*e^3+63*((a*e-b*d)*b)^(1/2)*x^2*b^4*d^2*e^2+144*((a*e-b*d)*b)^(1/2)*x*a^3*b*e^4+954*((a*e-b*d)*b)^(1/2)*x*a^2*b^2*d*e^3+180*((a*e-b*d)*b)^(1/2)*x*a*b^3*d^2*e^2-18*((a*e-b*d)*b)^(1/2)*x*b^4*d^3*e-16*((a*e-b*d)*b)^(1/2)*a^4*e^4+208*((a*e-b*d)*b)^(1/2)*a^3*b*d*e^3+165*((a*e-b*d)*b)^(1/2)*a^2*b^2*d^2*e^2-50*((a*e-b*d)*b)^(1/2)*a*b^3*d^3*e+8*((a*e-b*d)*b)^(1/2)*b^4*d^4)*(b*x+a)^2/(e*x+d)^(3/2)/((a*e-b*d)*b)^(1/2)/(a*e-b*d)^5/((b*x+a)^2)^(5/2)","B"
2145,1,722,269,0.079000," ","int((b*x+a)/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","-\frac{\left(3465 \sqrt{\left(a e -b d \right) b}\, b^{5} e^{5} x^{5}+9240 \sqrt{\left(a e -b d \right) b}\, a \,b^{4} e^{5} x^{4}+8085 \sqrt{\left(a e -b d \right) b}\, b^{5} d \,e^{4} x^{4}+7623 \sqrt{\left(a e -b d \right) b}\, a^{2} b^{3} e^{5} x^{3}+21714 \sqrt{\left(a e -b d \right) b}\, a \,b^{4} d \,e^{4} x^{3}+3465 \left(e x +d \right)^{\frac{5}{2}} b^{6} e^{3} x^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+5313 \sqrt{\left(a e -b d \right) b}\, b^{5} d^{2} e^{3} x^{3}+1584 \sqrt{\left(a e -b d \right) b}\, a^{3} b^{2} e^{5} x^{2}+18117 \sqrt{\left(a e -b d \right) b}\, a^{2} b^{3} d \,e^{4} x^{2}+10395 \left(e x +d \right)^{\frac{5}{2}} a \,b^{5} e^{3} x^{2} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+14454 \sqrt{\left(a e -b d \right) b}\, a \,b^{4} d^{2} e^{3} x^{2}+495 \sqrt{\left(a e -b d \right) b}\, b^{5} d^{3} e^{2} x^{2}-176 \sqrt{\left(a e -b d \right) b}\, a^{4} b \,e^{5} x +3872 \sqrt{\left(a e -b d \right) b}\, a^{3} b^{2} d \,e^{4} x +10395 \left(e x +d \right)^{\frac{5}{2}} a^{2} b^{4} e^{3} x \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+12309 \sqrt{\left(a e -b d \right) b}\, a^{2} b^{3} d^{2} e^{3} x +1430 \sqrt{\left(a e -b d \right) b}\, a \,b^{4} d^{3} e^{2} x -110 \sqrt{\left(a e -b d \right) b}\, b^{5} d^{4} e x +48 \sqrt{\left(a e -b d \right) b}\, a^{5} e^{5}-416 \sqrt{\left(a e -b d \right) b}\, a^{4} b d \,e^{4}+3465 \left(e x +d \right)^{\frac{5}{2}} a^{3} b^{3} e^{3} \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)+2768 \sqrt{\left(a e -b d \right) b}\, a^{3} b^{2} d^{2} e^{3}+1335 \sqrt{\left(a e -b d \right) b}\, a^{2} b^{3} d^{3} e^{2}-310 \sqrt{\left(a e -b d \right) b}\, a \,b^{4} d^{4} e +40 \sqrt{\left(a e -b d \right) b}\, b^{5} d^{5}\right) \left(b x +a \right)^{2}}{120 \left(e x +d \right)^{\frac{5}{2}} \sqrt{\left(a e -b d \right) b}\, \left(a e -b d \right)^{6} \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}}}"," ",0,"-1/120*(12309*((a*e-b*d)*b)^(1/2)*x*a^2*b^3*d^2*e^3-416*((a*e-b*d)*b)^(1/2)*a^4*b*d*e^4+2768*((a*e-b*d)*b)^(1/2)*a^3*b^2*d^2*e^3+40*((a*e-b*d)*b)^(1/2)*b^5*d^5+9240*((a*e-b*d)*b)^(1/2)*x^4*a*b^4*e^5+7623*((a*e-b*d)*b)^(1/2)*x^3*a^2*b^3*e^5-176*((a*e-b*d)*b)^(1/2)*x*a^4*b*e^5-110*((a*e-b*d)*b)^(1/2)*x*b^5*d^4*e+5313*((a*e-b*d)*b)^(1/2)*x^3*b^5*d^2*e^3+1584*((a*e-b*d)*b)^(1/2)*x^2*a^3*b^2*e^5+3465*(e*x+d)^(5/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^3*b^6*e^3+3465*(e*x+d)^(5/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*a^3*b^3*e^3+495*((a*e-b*d)*b)^(1/2)*x^2*b^5*d^3*e^2+8085*((a*e-b*d)*b)^(1/2)*x^4*b^5*d*e^4+10395*(e*x+d)^(5/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x^2*a*b^5*e^3+10395*(e*x+d)^(5/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*x*a^2*b^4*e^3+1430*((a*e-b*d)*b)^(1/2)*x*a*b^4*d^3*e^2+48*((a*e-b*d)*b)^(1/2)*a^5*e^5+3465*((a*e-b*d)*b)^(1/2)*x^5*b^5*e^5+18117*((a*e-b*d)*b)^(1/2)*x^2*a^2*b^3*d*e^4+14454*((a*e-b*d)*b)^(1/2)*x^2*a*b^4*d^2*e^3+3872*((a*e-b*d)*b)^(1/2)*x*a^3*b^2*d*e^4+21714*((a*e-b*d)*b)^(1/2)*x^3*a*b^4*d*e^4+1335*((a*e-b*d)*b)^(1/2)*a^2*b^3*d^3*e^2-310*((a*e-b*d)*b)^(1/2)*a*b^4*d^4*e)*(b*x+a)^2/(e*x+d)^(5/2)/((a*e-b*d)*b)^(1/2)/(a*e-b*d)^6/((b*x+a)^2)^(5/2)","B"
2146,1,3244,239,0.074000," ","int((b*x+a)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^3,x)","\text{output too large to display}"," 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^7+546*m^6+4536*m^5+22449*m^4+67284*m^3+118124*m^2+109584*m+40320)","B"
2147,1,1345,175,0.056000," ","int((b*x+a)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^2,x)","\frac{\left(b^{5} e^{5} m^{5} x^{5}+5 a \,b^{4} e^{5} m^{5} x^{4}+15 b^{5} e^{5} m^{4} x^{5}+10 a^{2} b^{3} e^{5} m^{5} x^{3}+80 a \,b^{4} e^{5} m^{4} x^{4}-5 b^{5} d \,e^{4} m^{4} x^{4}+85 b^{5} e^{5} m^{3} x^{5}+10 a^{3} b^{2} e^{5} m^{5} x^{2}+170 a^{2} b^{3} e^{5} m^{4} x^{3}-20 a \,b^{4} d \,e^{4} m^{4} x^{3}+475 a \,b^{4} e^{5} m^{3} x^{4}-50 b^{5} d \,e^{4} m^{3} x^{4}+225 b^{5} e^{5} m^{2} x^{5}+5 a^{4} b \,e^{5} m^{5} x +180 a^{3} b^{2} e^{5} m^{4} x^{2}-30 a^{2} b^{3} d \,e^{4} m^{4} x^{2}+1070 a^{2} b^{3} e^{5} m^{3} x^{3}-240 a \,b^{4} d \,e^{4} m^{3} x^{3}+1300 a \,b^{4} e^{5} m^{2} x^{4}+20 b^{5} d^{2} e^{3} m^{3} x^{3}-175 b^{5} d \,e^{4} m^{2} x^{4}+274 b^{5} e^{5} m \,x^{5}+a^{5} e^{5} m^{5}+95 a^{4} b \,e^{5} m^{4} x -20 a^{3} b^{2} d \,e^{4} m^{4} x +1210 a^{3} b^{2} e^{5} m^{3} x^{2}-420 a^{2} b^{3} d \,e^{4} m^{3} x^{2}+3070 a^{2} b^{3} e^{5} m^{2} x^{3}+60 a \,b^{4} d^{2} e^{3} m^{3} x^{2}-940 a \,b^{4} d \,e^{4} m^{2} x^{3}+1620 a \,b^{4} e^{5} m \,x^{4}+120 b^{5} d^{2} e^{3} m^{2} x^{3}-250 b^{5} d \,e^{4} m \,x^{4}+120 b^{5} e^{5} x^{5}+20 a^{5} e^{5} m^{4}-5 a^{4} b d \,e^{4} m^{4}+685 a^{4} b \,e^{5} m^{3} x -320 a^{3} b^{2} d \,e^{4} m^{3} x +3720 a^{3} b^{2} e^{5} m^{2} x^{2}+60 a^{2} b^{3} d^{2} e^{3} m^{3} x -1950 a^{2} b^{3} d \,e^{4} m^{2} x^{2}+3960 a^{2} b^{3} e^{5} m \,x^{3}+540 a \,b^{4} d^{2} e^{3} m^{2} x^{2}-1440 a \,b^{4} d \,e^{4} m \,x^{3}+720 a \,b^{4} e^{5} x^{4}-60 b^{5} d^{3} e^{2} m^{2} x^{2}+220 b^{5} d^{2} e^{3} m \,x^{3}-120 b^{5} d \,e^{4} x^{4}+155 a^{5} e^{5} m^{3}-90 a^{4} b d \,e^{4} m^{3}+2305 a^{4} b \,e^{5} m^{2} x +20 a^{3} b^{2} d^{2} e^{3} m^{3}-1780 a^{3} b^{2} d \,e^{4} m^{2} x +5080 a^{3} b^{2} e^{5} m \,x^{2}+720 a^{2} b^{3} d^{2} e^{3} m^{2} x -3360 a^{2} b^{3} d \,e^{4} m \,x^{2}+1800 a^{2} b^{3} e^{5} x^{3}-120 a \,b^{4} d^{3} e^{2} m^{2} x +1200 a \,b^{4} d^{2} e^{3} m \,x^{2}-720 a \,b^{4} d \,e^{4} x^{3}-180 b^{5} d^{3} e^{2} m \,x^{2}+120 b^{5} d^{2} e^{3} x^{3}+580 a^{5} e^{5} m^{2}-595 a^{4} b d \,e^{4} m^{2}+3510 a^{4} b \,e^{5} m x +300 a^{3} b^{2} d^{2} e^{3} m^{2}-3880 a^{3} b^{2} d \,e^{4} m x +2400 a^{3} b^{2} e^{5} x^{2}-60 a^{2} b^{3} d^{3} e^{2} m^{2}+2460 a^{2} b^{3} d^{2} e^{3} m x -1800 a^{2} b^{3} d \,e^{4} x^{2}-840 a \,b^{4} d^{3} e^{2} m x +720 a \,b^{4} d^{2} e^{3} x^{2}+120 b^{5} d^{4} e m x -120 b^{5} d^{3} e^{2} x^{2}+1044 a^{5} e^{5} m -1710 a^{4} b d \,e^{4} m +1800 a^{4} b \,e^{5} x +1480 a^{3} b^{2} d^{2} e^{3} m -2400 a^{3} b^{2} d \,e^{4} x -660 a^{2} b^{3} d^{3} e^{2} m +1800 a^{2} b^{3} d^{2} e^{3} x +120 a \,b^{4} d^{4} e m -720 a \,b^{4} d^{3} e^{2} x +120 b^{5} d^{4} e x +720 a^{5} e^{5}-1800 a^{4} b d \,e^{4}+2400 a^{3} b^{2} d^{2} e^{3}-1800 a^{2} b^{3} d^{3} e^{2}+720 a \,b^{4} d^{4} e -120 b^{5} d^{5}\right) \left(e x +d \right)^{m +1}}{\left(m^{6}+21 m^{5}+175 m^{4}+735 m^{3}+1624 m^{2}+1764 m +720\right) e^{6}}"," ",0,"(e*x+d)^(m+1)*(b^5*e^5*m^5*x^5+5*a*b^4*e^5*m^5*x^4+15*b^5*e^5*m^4*x^5+10*a^2*b^3*e^5*m^5*x^3+80*a*b^4*e^5*m^4*x^4-5*b^5*d*e^4*m^4*x^4+85*b^5*e^5*m^3*x^5+10*a^3*b^2*e^5*m^5*x^2+170*a^2*b^3*e^5*m^4*x^3-20*a*b^4*d*e^4*m^4*x^3+475*a*b^4*e^5*m^3*x^4-50*b^5*d*e^4*m^3*x^4+225*b^5*e^5*m^2*x^5+5*a^4*b*e^5*m^5*x+180*a^3*b^2*e^5*m^4*x^2-30*a^2*b^3*d*e^4*m^4*x^2+1070*a^2*b^3*e^5*m^3*x^3-240*a*b^4*d*e^4*m^3*x^3+1300*a*b^4*e^5*m^2*x^4+20*b^5*d^2*e^3*m^3*x^3-175*b^5*d*e^4*m^2*x^4+274*b^5*e^5*m*x^5+a^5*e^5*m^5+95*a^4*b*e^5*m^4*x-20*a^3*b^2*d*e^4*m^4*x+1210*a^3*b^2*e^5*m^3*x^2-420*a^2*b^3*d*e^4*m^3*x^2+3070*a^2*b^3*e^5*m^2*x^3+60*a*b^4*d^2*e^3*m^3*x^2-940*a*b^4*d*e^4*m^2*x^3+1620*a*b^4*e^5*m*x^4+120*b^5*d^2*e^3*m^2*x^3-250*b^5*d*e^4*m*x^4+120*b^5*e^5*x^5+20*a^5*e^5*m^4-5*a^4*b*d*e^4*m^4+685*a^4*b*e^5*m^3*x-320*a^3*b^2*d*e^4*m^3*x+3720*a^3*b^2*e^5*m^2*x^2+60*a^2*b^3*d^2*e^3*m^3*x-1950*a^2*b^3*d*e^4*m^2*x^2+3960*a^2*b^3*e^5*m*x^3+540*a*b^4*d^2*e^3*m^2*x^2-1440*a*b^4*d*e^4*m*x^3+720*a*b^4*e^5*x^4-60*b^5*d^3*e^2*m^2*x^2+220*b^5*d^2*e^3*m*x^3-120*b^5*d*e^4*x^4+155*a^5*e^5*m^3-90*a^4*b*d*e^4*m^3+2305*a^4*b*e^5*m^2*x+20*a^3*b^2*d^2*e^3*m^3-1780*a^3*b^2*d*e^4*m^2*x+5080*a^3*b^2*e^5*m*x^2+720*a^2*b^3*d^2*e^3*m^2*x-3360*a^2*b^3*d*e^4*m*x^2+1800*a^2*b^3*e^5*x^3-120*a*b^4*d^3*e^2*m^2*x+1200*a*b^4*d^2*e^3*m*x^2-720*a*b^4*d*e^4*x^3-180*b^5*d^3*e^2*m*x^2+120*b^5*d^2*e^3*x^3+580*a^5*e^5*m^2-595*a^4*b*d*e^4*m^2+3510*a^4*b*e^5*m*x+300*a^3*b^2*d^2*e^3*m^2-3880*a^3*b^2*d*e^4*m*x+2400*a^3*b^2*e^5*x^2-60*a^2*b^3*d^3*e^2*m^2+2460*a^2*b^3*d^2*e^3*m*x-1800*a^2*b^3*d*e^4*x^2-840*a*b^4*d^3*e^2*m*x+720*a*b^4*d^2*e^3*x^2+120*b^5*d^4*e*m*x-120*b^5*d^3*e^2*x^2+1044*a^5*e^5*m-1710*a^4*b*d*e^4*m+1800*a^4*b*e^5*x+1480*a^3*b^2*d^2*e^3*m-2400*a^3*b^2*d*e^4*x-660*a^2*b^3*d^3*e^2*m+1800*a^2*b^3*d^2*e^3*x+120*a*b^4*d^4*e*m-720*a*b^4*d^3*e^2*x+120*b^5*d^4*e*x+720*a^5*e^5-1800*a^4*b*d*e^4+2400*a^3*b^2*d^2*e^3-1800*a^2*b^3*d^3*e^2+720*a*b^4*d^4*e-120*b^5*d^5)/e^6/(m^6+21*m^5+175*m^4+735*m^3+1624*m^2+1764*m+720)","B"
2148,1,386,111,0.052000," ","int((b*x+a)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2),x)","\frac{\left(b^{3} e^{3} m^{3} x^{3}+3 a \,b^{2} e^{3} m^{3} x^{2}+6 b^{3} e^{3} m^{2} x^{3}+3 a^{2} b \,e^{3} m^{3} x +21 a \,b^{2} e^{3} m^{2} x^{2}-3 b^{3} d \,e^{2} m^{2} x^{2}+11 b^{3} e^{3} m \,x^{3}+a^{3} e^{3} m^{3}+24 a^{2} b \,e^{3} m^{2} x -6 a \,b^{2} d \,e^{2} m^{2} x +42 a \,b^{2} e^{3} m \,x^{2}-9 b^{3} d \,e^{2} m \,x^{2}+6 b^{3} e^{3} x^{3}+9 a^{3} e^{3} m^{2}-3 a^{2} b d \,e^{2} m^{2}+57 a^{2} b \,e^{3} m x -30 a \,b^{2} d \,e^{2} m x +24 a \,b^{2} e^{3} x^{2}+6 b^{3} d^{2} e m x -6 b^{3} d \,e^{2} x^{2}+26 a^{3} e^{3} m -21 a^{2} b d \,e^{2} m +36 a^{2} b \,e^{3} x +6 a \,b^{2} d^{2} e m -24 a \,b^{2} d \,e^{2} x +6 b^{3} d^{2} e x +24 a^{3} e^{3}-36 a^{2} b d \,e^{2}+24 a \,b^{2} d^{2} e -6 b^{3} d^{3}\right) \left(e x +d \right)^{m +1}}{\left(m^{4}+10 m^{3}+35 m^{2}+50 m +24\right) e^{4}}"," ",0,"(e*x+d)^(m+1)*(b^3*e^3*m^3*x^3+3*a*b^2*e^3*m^3*x^2+6*b^3*e^3*m^2*x^3+3*a^2*b*e^3*m^3*x+21*a*b^2*e^3*m^2*x^2-3*b^3*d*e^2*m^2*x^2+11*b^3*e^3*m*x^3+a^3*e^3*m^3+24*a^2*b*e^3*m^2*x-6*a*b^2*d*e^2*m^2*x+42*a*b^2*e^3*m*x^2-9*b^3*d*e^2*m*x^2+6*b^3*e^3*x^3+9*a^3*e^3*m^2-3*a^2*b*d*e^2*m^2+57*a^2*b*e^3*m*x-30*a*b^2*d*e^2*m*x+24*a*b^2*e^3*x^2+6*b^3*d^2*e*m*x-6*b^3*d*e^2*x^2+26*a^3*e^3*m-21*a^2*b*d*e^2*m+36*a^2*b*e^3*x+6*a*b^2*d^2*e*m-24*a*b^2*d*e^2*x+6*b^3*d^2*e*x+24*a^3*e^3-36*a^2*b*d*e^2+24*a*b^2*d^2*e-6*b^3*d^3)/e^4/(m^4+10*m^3+35*m^2+50*m+24)","B"
2149,0,0,53,1.251000," ","int((b*x+a)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2),x)","\int \frac{\left(b x +a \right) \left(e x +d \right)^{m}}{b^{2} x^{2}+2 a b x +a^{2}}\, dx"," ",0,"int((b*x+a)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2),x)","F"
2150,0,0,56,1.261000," ","int((b*x+a)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^2,x)","\int \frac{\left(b x +a \right) \left(e x +d \right)^{m}}{\left(b^{2} x^{2}+2 a b x +a^{2}\right)^{2}}\, dx"," ",0,"int((b*x+a)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^2,x)","F"
2151,1,2173,318,0.067000," ","int((b*x+a)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\frac{\left(b^{6} e^{6} m^{6} x^{6}+6 a \,b^{5} e^{6} m^{6} x^{5}+21 b^{6} e^{6} m^{5} x^{6}+15 a^{2} b^{4} e^{6} m^{6} x^{4}+132 a \,b^{5} e^{6} m^{5} x^{5}-6 b^{6} d \,e^{5} m^{5} x^{5}+175 b^{6} e^{6} m^{4} x^{6}+20 a^{3} b^{3} e^{6} m^{6} x^{3}+345 a^{2} b^{4} e^{6} m^{5} x^{4}-30 a \,b^{5} d \,e^{5} m^{5} x^{4}+1140 a \,b^{5} e^{6} m^{4} x^{5}-90 b^{6} d \,e^{5} m^{4} x^{5}+735 b^{6} e^{6} m^{3} x^{6}+15 a^{4} b^{2} e^{6} m^{6} x^{2}+480 a^{3} b^{3} e^{6} m^{5} x^{3}-60 a^{2} b^{4} d \,e^{5} m^{5} x^{3}+3105 a^{2} b^{4} e^{6} m^{4} x^{4}-510 a \,b^{5} d \,e^{5} m^{4} x^{4}+4920 a \,b^{5} e^{6} m^{3} x^{5}+30 b^{6} d^{2} e^{4} m^{4} x^{4}-510 b^{6} d \,e^{5} m^{3} x^{5}+1624 b^{6} e^{6} m^{2} x^{6}+6 a^{5} b \,e^{6} m^{6} x +375 a^{4} b^{2} e^{6} m^{5} x^{2}-60 a^{3} b^{3} d \,e^{5} m^{5} x^{2}+4520 a^{3} b^{3} e^{6} m^{4} x^{3}-1140 a^{2} b^{4} d \,e^{5} m^{4} x^{3}+13875 a^{2} b^{4} e^{6} m^{3} x^{4}+120 a \,b^{5} d^{2} e^{4} m^{4} x^{3}-3150 a \,b^{5} d \,e^{5} m^{3} x^{4}+11094 a \,b^{5} e^{6} m^{2} x^{5}+300 b^{6} d^{2} e^{4} m^{3} x^{4}-1350 b^{6} d \,e^{5} m^{2} x^{5}+1764 b^{6} e^{6} m \,x^{6}+a^{6} e^{6} m^{6}+156 a^{5} b \,e^{6} m^{5} x -30 a^{4} b^{2} d \,e^{5} m^{5} x +3705 a^{4} b^{2} e^{6} m^{4} x^{2}-1260 a^{3} b^{3} d \,e^{5} m^{4} x^{2}+21120 a^{3} b^{3} e^{6} m^{3} x^{3}+180 a^{2} b^{4} d^{2} e^{4} m^{4} x^{2}-7860 a^{2} b^{4} d \,e^{5} m^{3} x^{3}+32160 a^{2} b^{4} e^{6} m^{2} x^{4}+1560 a \,b^{5} d^{2} e^{4} m^{3} x^{3}-8850 a \,b^{5} d \,e^{5} m^{2} x^{4}+12228 a \,b^{5} e^{6} m \,x^{5}-120 b^{6} d^{3} e^{3} m^{3} x^{3}+1050 b^{6} d^{2} e^{4} m^{2} x^{4}-1644 b^{6} d \,e^{5} m \,x^{5}+720 b^{6} e^{6} x^{6}+27 a^{6} e^{6} m^{5}-6 a^{5} b d \,e^{5} m^{5}+1620 a^{5} b \,e^{6} m^{4} x -690 a^{4} b^{2} d \,e^{5} m^{4} x +18285 a^{4} b^{2} e^{6} m^{3} x^{2}+120 a^{3} b^{3} d^{2} e^{4} m^{4} x -9780 a^{3} b^{3} d \,e^{5} m^{3} x^{2}+50900 a^{3} b^{3} e^{6} m^{2} x^{3}+2880 a^{2} b^{4} d^{2} e^{4} m^{3} x^{2}-24060 a^{2} b^{4} d \,e^{5} m^{2} x^{3}+36180 a^{2} b^{4} e^{6} m \,x^{4}-360 a \,b^{5} d^{3} e^{3} m^{3} x^{2}+6360 a \,b^{5} d^{2} e^{4} m^{2} x^{3}-11220 a \,b^{5} d \,e^{5} m \,x^{4}+5040 a \,b^{5} e^{6} x^{5}-720 b^{6} d^{3} e^{3} m^{2} x^{3}+1500 b^{6} d^{2} e^{4} m \,x^{4}-720 b^{6} d \,e^{5} x^{5}+295 a^{6} e^{6} m^{4}-150 a^{5} b d \,e^{5} m^{4}+8520 a^{5} b \,e^{6} m^{3} x +30 a^{4} b^{2} d^{2} e^{4} m^{4}-6030 a^{4} b^{2} d \,e^{5} m^{3} x +46680 a^{4} b^{2} e^{6} m^{2} x^{2}+2280 a^{3} b^{3} d^{2} e^{4} m^{3} x -34020 a^{3} b^{3} d \,e^{5} m^{2} x^{2}+59040 a^{3} b^{3} e^{6} m \,x^{3}-360 a^{2} b^{4} d^{3} e^{3} m^{3} x +14940 a^{2} b^{4} d^{2} e^{4} m^{2} x^{2}-32400 a^{2} b^{4} d \,e^{5} m \,x^{3}+15120 a^{2} b^{4} e^{6} x^{4}-3600 a \,b^{5} d^{3} e^{3} m^{2} x^{2}+9960 a \,b^{5} d^{2} e^{4} m \,x^{3}-5040 a \,b^{5} d \,e^{5} x^{4}+360 b^{6} d^{4} e^{2} m^{2} x^{2}-1320 b^{6} d^{3} e^{3} m \,x^{3}+720 b^{6} d^{2} e^{4} x^{4}+1665 a^{6} e^{6} m^{3}-1470 a^{5} b d \,e^{5} m^{3}+23574 a^{5} b \,e^{6} m^{2} x +660 a^{4} b^{2} d^{2} e^{4} m^{3}-24510 a^{4} b^{2} d \,e^{5} m^{2} x +56940 a^{4} b^{2} e^{6} m \,x^{2}-120 a^{3} b^{3} d^{3} e^{3} m^{3}+15000 a^{3} b^{3} d^{2} e^{4} m^{2} x -50640 a^{3} b^{3} d \,e^{5} m \,x^{2}+25200 a^{3} b^{3} e^{6} x^{3}-5040 a^{2} b^{4} d^{3} e^{3} m^{2} x +27360 a^{2} b^{4} d^{2} e^{4} m \,x^{2}-15120 a^{2} b^{4} d \,e^{5} x^{3}+720 a \,b^{5} d^{4} e^{2} m^{2} x -8280 a \,b^{5} d^{3} e^{3} m \,x^{2}+5040 a \,b^{5} d^{2} e^{4} x^{3}+1080 b^{6} d^{4} e^{2} m \,x^{2}-720 b^{6} d^{3} e^{3} x^{3}+5104 a^{6} e^{6} m^{2}-7050 a^{5} b d \,e^{5} m^{2}+31644 a^{5} b \,e^{6} m x +5370 a^{4} b^{2} d^{2} e^{4} m^{2}-44340 a^{4} b^{2} d \,e^{5} m x +25200 a^{4} b^{2} e^{6} x^{2}-2160 a^{3} b^{3} d^{3} e^{3} m^{2}+38040 a^{3} b^{3} d^{2} e^{4} m x -25200 a^{3} b^{3} d \,e^{5} x^{2}+360 a^{2} b^{4} d^{4} e^{2} m^{2}-19800 a^{2} b^{4} d^{3} e^{3} m x +15120 a^{2} b^{4} d^{2} e^{4} x^{2}+5760 a \,b^{5} d^{4} e^{2} m x -5040 a \,b^{5} d^{3} e^{3} x^{2}-720 b^{6} d^{5} e m x +720 b^{6} d^{4} e^{2} x^{2}+8028 a^{6} e^{6} m -16524 a^{5} b d \,e^{5} m +15120 a^{5} b \,e^{6} x +19140 a^{4} b^{2} d^{2} e^{4} m -25200 a^{4} b^{2} d \,e^{5} x -12840 a^{3} b^{3} d^{3} e^{3} m +25200 a^{3} b^{3} d^{2} e^{4} x +4680 a^{2} b^{4} d^{4} e^{2} m -15120 a^{2} b^{4} d^{3} e^{3} x -720 a \,b^{5} d^{5} e m +5040 a \,b^{5} d^{4} e^{2} x -720 b^{6} d^{5} e x +5040 a^{6} e^{6}-15120 a^{5} b d \,e^{5}+25200 a^{4} b^{2} d^{2} e^{4}-25200 a^{3} b^{3} d^{3} e^{3}+15120 a^{2} b^{4} d^{4} e^{2}-5040 a \,b^{5} d^{5} e +720 b^{6} d^{6}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{5}{2}} \left(e x +d \right)^{m +1}}{\left(b x +a \right)^{5} \left(m^{7}+28 m^{6}+322 m^{5}+1960 m^{4}+6769 m^{3}+13132 m^{2}+13068 m +5040\right) e^{7}}"," ",0,"(e*x+d)^(m+1)*(b^6*e^6*m^6*x^6+6*a*b^5*e^6*m^6*x^5+21*b^6*e^6*m^5*x^6+15*a^2*b^4*e^6*m^6*x^4+132*a*b^5*e^6*m^5*x^5-6*b^6*d*e^5*m^5*x^5+175*b^6*e^6*m^4*x^6+20*a^3*b^3*e^6*m^6*x^3+345*a^2*b^4*e^6*m^5*x^4-30*a*b^5*d*e^5*m^5*x^4+1140*a*b^5*e^6*m^4*x^5-90*b^6*d*e^5*m^4*x^5+735*b^6*e^6*m^3*x^6+15*a^4*b^2*e^6*m^6*x^2+480*a^3*b^3*e^6*m^5*x^3-60*a^2*b^4*d*e^5*m^5*x^3+3105*a^2*b^4*e^6*m^4*x^4-510*a*b^5*d*e^5*m^4*x^4+4920*a*b^5*e^6*m^3*x^5+30*b^6*d^2*e^4*m^4*x^4-510*b^6*d*e^5*m^3*x^5+1624*b^6*e^6*m^2*x^6+6*a^5*b*e^6*m^6*x+375*a^4*b^2*e^6*m^5*x^2-60*a^3*b^3*d*e^5*m^5*x^2+4520*a^3*b^3*e^6*m^4*x^3-1140*a^2*b^4*d*e^5*m^4*x^3+13875*a^2*b^4*e^6*m^3*x^4+120*a*b^5*d^2*e^4*m^4*x^3-3150*a*b^5*d*e^5*m^3*x^4+11094*a*b^5*e^6*m^2*x^5+300*b^6*d^2*e^4*m^3*x^4-1350*b^6*d*e^5*m^2*x^5+1764*b^6*e^6*m*x^6+a^6*e^6*m^6+156*a^5*b*e^6*m^5*x-30*a^4*b^2*d*e^5*m^5*x+3705*a^4*b^2*e^6*m^4*x^2-1260*a^3*b^3*d*e^5*m^4*x^2+21120*a^3*b^3*e^6*m^3*x^3+180*a^2*b^4*d^2*e^4*m^4*x^2-7860*a^2*b^4*d*e^5*m^3*x^3+32160*a^2*b^4*e^6*m^2*x^4+1560*a*b^5*d^2*e^4*m^3*x^3-8850*a*b^5*d*e^5*m^2*x^4+12228*a*b^5*e^6*m*x^5-120*b^6*d^3*e^3*m^3*x^3+1050*b^6*d^2*e^4*m^2*x^4-1644*b^6*d*e^5*m*x^5+720*b^6*e^6*x^6+27*a^6*e^6*m^5-6*a^5*b*d*e^5*m^5+1620*a^5*b*e^6*m^4*x-690*a^4*b^2*d*e^5*m^4*x+18285*a^4*b^2*e^6*m^3*x^2+120*a^3*b^3*d^2*e^4*m^4*x-9780*a^3*b^3*d*e^5*m^3*x^2+50900*a^3*b^3*e^6*m^2*x^3+2880*a^2*b^4*d^2*e^4*m^3*x^2-24060*a^2*b^4*d*e^5*m^2*x^3+36180*a^2*b^4*e^6*m*x^4-360*a*b^5*d^3*e^3*m^3*x^2+6360*a*b^5*d^2*e^4*m^2*x^3-11220*a*b^5*d*e^5*m*x^4+5040*a*b^5*e^6*x^5-720*b^6*d^3*e^3*m^2*x^3+1500*b^6*d^2*e^4*m*x^4-720*b^6*d*e^5*x^5+295*a^6*e^6*m^4-150*a^5*b*d*e^5*m^4+8520*a^5*b*e^6*m^3*x+30*a^4*b^2*d^2*e^4*m^4-6030*a^4*b^2*d*e^5*m^3*x+46680*a^4*b^2*e^6*m^2*x^2+2280*a^3*b^3*d^2*e^4*m^3*x-34020*a^3*b^3*d*e^5*m^2*x^2+59040*a^3*b^3*e^6*m*x^3-360*a^2*b^4*d^3*e^3*m^3*x+14940*a^2*b^4*d^2*e^4*m^2*x^2-32400*a^2*b^4*d*e^5*m*x^3+15120*a^2*b^4*e^6*x^4-3600*a*b^5*d^3*e^3*m^2*x^2+9960*a*b^5*d^2*e^4*m*x^3-5040*a*b^5*d*e^5*x^4+360*b^6*d^4*e^2*m^2*x^2-1320*b^6*d^3*e^3*m*x^3+720*b^6*d^2*e^4*x^4+1665*a^6*e^6*m^3-1470*a^5*b*d*e^5*m^3+23574*a^5*b*e^6*m^2*x+660*a^4*b^2*d^2*e^4*m^3-24510*a^4*b^2*d*e^5*m^2*x+56940*a^4*b^2*e^6*m*x^2-120*a^3*b^3*d^3*e^3*m^3+15000*a^3*b^3*d^2*e^4*m^2*x-50640*a^3*b^3*d*e^5*m*x^2+25200*a^3*b^3*e^6*x^3-5040*a^2*b^4*d^3*e^3*m^2*x+27360*a^2*b^4*d^2*e^4*m*x^2-15120*a^2*b^4*d*e^5*x^3+720*a*b^5*d^4*e^2*m^2*x-8280*a*b^5*d^3*e^3*m*x^2+5040*a*b^5*d^2*e^4*x^3+1080*b^6*d^4*e^2*m*x^2-720*b^6*d^3*e^3*x^3+5104*a^6*e^6*m^2-7050*a^5*b*d*e^5*m^2+31644*a^5*b*e^6*m*x+5370*a^4*b^2*d^2*e^4*m^2-44340*a^4*b^2*d*e^5*m*x+25200*a^4*b^2*e^6*x^2-2160*a^3*b^3*d^3*e^3*m^2+38040*a^3*b^3*d^2*e^4*m*x-25200*a^3*b^3*d*e^5*x^2+360*a^2*b^4*d^4*e^2*m^2-19800*a^2*b^4*d^3*e^3*m*x+15120*a^2*b^4*d^2*e^4*x^2+5760*a*b^5*d^4*e^2*m*x-5040*a*b^5*d^3*e^3*x^2-720*b^6*d^5*e*m*x+720*b^6*d^4*e^2*x^2+8028*a^6*e^6*m-16524*a^5*b*d*e^5*m+15120*a^5*b*e^6*x+19140*a^4*b^2*d^2*e^4*m-25200*a^4*b^2*d*e^5*x-12840*a^3*b^3*d^3*e^3*m+25200*a^3*b^3*d^2*e^4*x+4680*a^2*b^4*d^4*e^2*m-15120*a^2*b^4*d^3*e^3*x-720*a*b^5*d^5*e*m+5040*a*b^5*d^4*e^2*x-720*b^6*d^5*e*x+5040*a^6*e^6-15120*a^5*b*d*e^5+25200*a^4*b^2*d^2*e^4-25200*a^3*b^3*d^3*e^3+15120*a^2*b^4*d^4*e^2-5040*a*b^5*d^5*e+720*b^6*d^6)*((b*x+a)^2)^(5/2)/(b*x+a)^5/e^7/(m^7+28*m^6+322*m^5+1960*m^4+6769*m^3+13132*m^2+13068*m+5040)","B"
2152,1,784,222,0.053000," ","int((b*x+a)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(b^{4} e^{4} m^{4} x^{4}+4 a \,b^{3} e^{4} m^{4} x^{3}+10 b^{4} e^{4} m^{3} x^{4}+6 a^{2} b^{2} e^{4} m^{4} x^{2}+44 a \,b^{3} e^{4} m^{3} x^{3}-4 b^{4} d \,e^{3} m^{3} x^{3}+35 b^{4} e^{4} m^{2} x^{4}+4 a^{3} b \,e^{4} m^{4} x +72 a^{2} b^{2} e^{4} m^{3} x^{2}-12 a \,b^{3} d \,e^{3} m^{3} x^{2}+164 a \,b^{3} e^{4} m^{2} x^{3}-24 b^{4} d \,e^{3} m^{2} x^{3}+50 b^{4} e^{4} m \,x^{4}+a^{4} e^{4} m^{4}+52 a^{3} b \,e^{4} m^{3} x -12 a^{2} b^{2} d \,e^{3} m^{3} x +294 a^{2} b^{2} e^{4} m^{2} x^{2}-96 a \,b^{3} d \,e^{3} m^{2} x^{2}+244 a \,b^{3} e^{4} m \,x^{3}+12 b^{4} d^{2} e^{2} m^{2} x^{2}-44 b^{4} d \,e^{3} m \,x^{3}+24 b^{4} e^{4} x^{4}+14 a^{4} e^{4} m^{3}-4 a^{3} b d \,e^{3} m^{3}+236 a^{3} b \,e^{4} m^{2} x -120 a^{2} b^{2} d \,e^{3} m^{2} x +468 a^{2} b^{2} e^{4} m \,x^{2}+24 a \,b^{3} d^{2} e^{2} m^{2} x -204 a \,b^{3} d \,e^{3} m \,x^{2}+120 a \,b^{3} e^{4} x^{3}+36 b^{4} d^{2} e^{2} m \,x^{2}-24 b^{4} d \,e^{3} x^{3}+71 a^{4} e^{4} m^{2}-48 a^{3} b d \,e^{3} m^{2}+428 a^{3} b \,e^{4} m x +12 a^{2} b^{2} d^{2} e^{2} m^{2}-348 a^{2} b^{2} d \,e^{3} m x +240 a^{2} b^{2} e^{4} x^{2}+144 a \,b^{3} d^{2} e^{2} m x -120 a \,b^{3} d \,e^{3} x^{2}-24 b^{4} d^{3} e m x +24 b^{4} d^{2} e^{2} x^{2}+154 a^{4} e^{4} m -188 a^{3} b d \,e^{3} m +240 a^{3} b \,e^{4} x +108 a^{2} b^{2} d^{2} e^{2} m -240 a^{2} b^{2} d \,e^{3} x -24 a \,b^{3} d^{3} e m +120 a \,b^{3} d^{2} e^{2} x -24 b^{4} d^{3} e x +120 a^{4} e^{4}-240 a^{3} b d \,e^{3}+240 a^{2} b^{2} d^{2} e^{2}-120 a \,b^{3} d^{3} e +24 b^{4} d^{4}\right) \left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} \left(e x +d \right)^{m +1}}{\left(b x +a \right)^{3} \left(m^{5}+15 m^{4}+85 m^{3}+225 m^{2}+274 m +120\right) e^{5}}"," ",0,"(e*x+d)^(m+1)*(b^4*e^4*m^4*x^4+4*a*b^3*e^4*m^4*x^3+10*b^4*e^4*m^3*x^4+6*a^2*b^2*e^4*m^4*x^2+44*a*b^3*e^4*m^3*x^3-4*b^4*d*e^3*m^3*x^3+35*b^4*e^4*m^2*x^4+4*a^3*b*e^4*m^4*x+72*a^2*b^2*e^4*m^3*x^2-12*a*b^3*d*e^3*m^3*x^2+164*a*b^3*e^4*m^2*x^3-24*b^4*d*e^3*m^2*x^3+50*b^4*e^4*m*x^4+a^4*e^4*m^4+52*a^3*b*e^4*m^3*x-12*a^2*b^2*d*e^3*m^3*x+294*a^2*b^2*e^4*m^2*x^2-96*a*b^3*d*e^3*m^2*x^2+244*a*b^3*e^4*m*x^3+12*b^4*d^2*e^2*m^2*x^2-44*b^4*d*e^3*m*x^3+24*b^4*e^4*x^4+14*a^4*e^4*m^3-4*a^3*b*d*e^3*m^3+236*a^3*b*e^4*m^2*x-120*a^2*b^2*d*e^3*m^2*x+468*a^2*b^2*e^4*m*x^2+24*a*b^3*d^2*e^2*m^2*x-204*a*b^3*d*e^3*m*x^2+120*a*b^3*e^4*x^3+36*b^4*d^2*e^2*m*x^2-24*b^4*d*e^3*x^3+71*a^4*e^4*m^2-48*a^3*b*d*e^3*m^2+428*a^3*b*e^4*m*x+12*a^2*b^2*d^2*e^2*m^2-348*a^2*b^2*d*e^3*m*x+240*a^2*b^2*e^4*x^2+144*a*b^3*d^2*e^2*m*x-120*a*b^3*d*e^3*x^2-24*b^4*d^3*e*m*x+24*b^4*d^2*e^2*x^2+154*a^4*e^4*m-188*a^3*b*d*e^3*m+240*a^3*b*e^4*x+108*a^2*b^2*d^2*e^2*m-240*a^2*b^2*d*e^3*x-24*a*b^3*d^3*e*m+120*a*b^3*d^2*e^2*x-24*b^4*d^3*e*x+120*a^4*e^4-240*a^3*b*d*e^3+240*a^2*b^2*d^2*e^2-120*a*b^3*d^3*e+24*b^4*d^4)*((b*x+a)^2)^(3/2)/(b*x+a)^3/e^5/(m^5+15*m^4+85*m^3+225*m^2+274*m+120)","B"
2153,1,175,126,0.056000," ","int((b*x+a)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^(1/2),x)","\frac{\left(b^{2} e^{2} m^{2} x^{2}+2 a b \,e^{2} m^{2} x +3 b^{2} e^{2} m \,x^{2}+a^{2} e^{2} m^{2}+8 a b \,e^{2} m x -2 b^{2} d e m x +2 b^{2} x^{2} e^{2}+5 a^{2} e^{2} m -2 a b d e m +6 a b \,e^{2} x -2 b^{2} d e x +6 a^{2} e^{2}-6 a b d e +2 b^{2} d^{2}\right) \sqrt{\left(b x +a \right)^{2}}\, \left(e x +d \right)^{m +1}}{\left(b x +a \right) \left(m^{3}+6 m^{2}+11 m +6\right) e^{3}}"," ",0,"(e*x+d)^(m+1)*(b^2*e^2*m^2*x^2+2*a*b*e^2*m^2*x+3*b^2*e^2*m*x^2+a^2*e^2*m^2+8*a*b*e^2*m*x-2*b^2*d*e*m*x+2*b^2*e^2*x^2+5*a^2*e^2*m-2*a*b*d*e*m+6*a*b*e^2*x-2*b^2*d*e*x+6*a^2*e^2-6*a*b*d*e+2*b^2*d^2)*((b*x+a)^2)^(1/2)/(b*x+a)/e^3/(m^3+6*m^2+11*m+6)","A"
2154,1,33,32,0.045000," ","int((b*x+a)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^(1/2),x)","\frac{\left(b x +a \right) \left(e x +d \right)^{m +1}}{\left(m +1\right) \sqrt{\left(b x +a \right)^{2}}\, e}"," ",0,"(b*x+a)*(e*x+d)^(m+1)/e/(m+1)/((b*x+a)^2)^(1/2)","A"
2155,0,0,67,1.345000," ","int((b*x+a)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\int \frac{\left(b x +a \right) \left(e x +d \right)^{m}}{\left(b^{2} x^{2}+2 a b x +a^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"int((b*x+a)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","F"
2156,0,0,69,1.637000," ","int((b*x+a)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","\int \frac{\left(b x +a \right) \left(e x +d \right)^{m}}{\left(b^{2} x^{2}+2 a b x +a^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"int((b*x+a)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^(5/2),x)","F"
2157,1,59,51,0.048000," ","int((b*c*x+a*c)*(e*x+d)^(-2*p-3)*(b^2*x^2+2*a*b*x+a^2)^p,x)","-\frac{\left(b x +a \right)^{2} c \left(e x +d \right)^{-2 p -2} \left(b^{2} x^{2}+2 a b x +a^{2}\right)^{p}}{2 \left(a e p -b d p +a e -b d \right)}"," ",0,"-1/2*(b*x+a)^2*(e*x+d)^(-2*p-2)*c*(b^2*x^2+2*a*b*x+a^2)^p/(a*e*p-b*d*p+a*e-b*d)","A"
2158,1,407,179,0.054000," ","int((b*x+a)*(e*x+d)^3*(b^2*x^2+2*a*b*x+a^2)^p,x)","-\frac{\left(-4 b^{3} e^{3} p^{3} x^{3}-12 b^{3} d \,e^{2} p^{3} x^{2}-18 b^{3} e^{3} p^{2} x^{3}+6 a \,b^{2} e^{3} p^{2} x^{2}-12 b^{3} d^{2} e \,p^{3} x -60 b^{3} d \,e^{2} p^{2} x^{2}-26 b^{3} e^{3} p \,x^{3}+12 a \,b^{2} d \,e^{2} p^{2} x +15 a \,b^{2} e^{3} p \,x^{2}-4 b^{3} d^{3} p^{3}-66 b^{3} d^{2} e \,p^{2} x -93 b^{3} d \,e^{2} p \,x^{2}-12 b^{3} e^{3} x^{3}-6 a^{2} b \,e^{3} p x +6 a \,b^{2} d^{2} e \,p^{2}+42 a \,b^{2} d \,e^{2} p x +9 a \,b^{2} e^{3} x^{2}-24 b^{3} d^{3} p^{2}-114 b^{3} d^{2} e p x -45 b^{3} d \,e^{2} x^{2}-6 a^{2} b d \,e^{2} p -6 a^{2} b \,e^{3} x +27 a \,b^{2} d^{2} e p +30 a \,b^{2} d \,e^{2} x -47 b^{3} d^{3} p -60 b^{3} d^{2} e x +3 a^{3} e^{3}-15 a^{2} b d \,e^{2}+30 a \,b^{2} d^{2} e -30 b^{3} d^{3}\right) \left(b x +a \right)^{2} \left(b^{2} x^{2}+2 a b x +a^{2}\right)^{p}}{2 \left(4 p^{4}+28 p^{3}+71 p^{2}+77 p +30\right) b^{4}}"," ",0,"-1/2*(b^2*x^2+2*a*b*x+a^2)^p*(-4*b^3*e^3*p^3*x^3-12*b^3*d*e^2*p^3*x^2-18*b^3*e^3*p^2*x^3+6*a*b^2*e^3*p^2*x^2-12*b^3*d^2*e*p^3*x-60*b^3*d*e^2*p^2*x^2-26*b^3*e^3*p*x^3+12*a*b^2*d*e^2*p^2*x+15*a*b^2*e^3*p*x^2-4*b^3*d^3*p^3-66*b^3*d^2*e*p^2*x-93*b^3*d*e^2*p*x^2-12*b^3*e^3*x^3-6*a^2*b*e^3*p*x+6*a*b^2*d^2*e*p^2+42*a*b^2*d*e^2*p*x+9*a*b^2*e^3*x^2-24*b^3*d^3*p^2-114*b^3*d^2*e*p*x-45*b^3*d*e^2*x^2-6*a^2*b*d*e^2*p-6*a^2*b*e^3*x+27*a*b^2*d^2*e*p+30*a*b^2*d*e^2*x-47*b^3*d^3*p-60*b^3*d^2*e*x+3*a^3*e^3-15*a^2*b*d*e^2+30*a*b^2*d^2*e-30*b^3*d^3)*(b*x+a)^2/b^4/(4*p^4+28*p^3+71*p^2+77*p+30)","B"
2159,1,179,130,0.049000," ","int((b*x+a)*(e*x+d)^2*(b^2*x^2+2*a*b*x+a^2)^p,x)","\frac{\left(b x +a \right)^{2} \left(2 b^{2} e^{2} p^{2} x^{2}+4 b^{2} d e \,p^{2} x +5 b^{2} e^{2} p \,x^{2}-2 a b \,e^{2} p x +2 b^{2} d^{2} p^{2}+12 b^{2} d e p x +3 e^{2} x^{2} b^{2}-2 a b d e p -2 a b \,e^{2} x +7 b^{2} d^{2} p +8 b^{2} d e x +a^{2} e^{2}-4 a b d e +6 b^{2} d^{2}\right) \left(b^{2} x^{2}+2 a b x +a^{2}\right)^{p}}{2 \left(2 p^{3}+9 p^{2}+13 p +6\right) b^{3}}"," ",0,"1/2*(b*x+a)^2*(2*b^2*e^2*p^2*x^2+4*b^2*d*e*p^2*x+5*b^2*e^2*p*x^2-2*a*b*e^2*p*x+2*b^2*d^2*p^2+12*b^2*d*e*p*x+3*b^2*e^2*x^2-2*a*b*d*e*p-2*a*b*e^2*x+7*b^2*d^2*p+8*b^2*d*e*x+a^2*e^2-4*a*b*d*e+6*b^2*d^2)*(b^2*x^2+2*a*b*x+a^2)^p/b^3/(2*p^3+9*p^2+13*p+6)","A"
2160,1,67,81,0.047000," ","int((b*x+a)*(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^p,x)","-\frac{\left(-2 b e p x -2 b d p -2 b e x +a e -3 b d \right) \left(b x +a \right)^{2} \left(b^{2} x^{2}+2 a b x +a^{2}\right)^{p}}{2 \left(2 p^{2}+5 p +3\right) b^{2}}"," ",0,"-1/2*(b^2*x^2+2*a*b*x+a^2)^p*(-2*b*e*p*x-2*b*d*p-2*b*e*x+a*e-3*b*d)*(b*x+a)^2/b^2/(2*p^2+5*p+3)","A"
2161,1,36,30,0.050000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^p,x)","\frac{\left(b x +a \right)^{2} \left(b^{2} x^{2}+2 a b x +a^{2}\right)^{p}}{2 \left(p +1\right) b}"," ",0,"1/2*(b*x+a)^2/b/(p+1)*(b^2*x^2+2*a*b*x+a^2)^p","A"
2162,0,0,74,1.503000," ","int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^p/(e*x+d),x)","\int \frac{\left(b x +a \right) \left(b^{2} x^{2}+2 a b x +a^{2}\right)^{p}}{e x +d}\, dx"," ",0,"int((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^p/(e*x+d),x)","F"
2163,1,71,58,0.046000," ","int((B*x+A)*(b*c*x+a*c)^m*(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{\left(b^{2} x^{2}+2 a b x +a^{2}\right)^{3} \left(B b m x +A b m +7 B b x +8 A b -B a \right) \left(b x +a \right) \left(b c x +a c \right)^{m}}{\left(m^{2}+15 m +56\right) b^{2}}"," ",0,"(b^2*x^2+2*a*b*x+a^2)^3*(b*c*x+a*c)^m*(B*b*m*x+A*b*m+7*B*b*x+8*A*b-B*a)*(b*x+a)/b^2/(m^2+15*m+56)","A"
2164,1,73,64,0.044000," ","int((B*x+A)*(b*c*x+a*c)^m/(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{\left(B b m x +A b m -5 B b x -4 A b -B a \right) \left(b c x +a c \right)^{m}}{\left(b x +a \right) \left(b^{2} x^{2}+2 a b x +a^{2}\right)^{2} \left(m^{2}-9 m +20\right) b^{2}}"," ",0,"(B*b*m*x+A*b*m-5*B*b*x-4*A*b-B*a)*(b*c*x+a*c)^m/(b*x+a)/(b^2*x^2+2*a*b*x+a^2)^2/b^2/(m^2-9*m+20)","A"
2165,1,62,90,0.051000," ","int((B*x+A)*(b*c*x+a*c)^m*(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} \left(B b m x +A b m +4 B b x +5 A b -B a \right) \left(b x +a \right) \left(b c x +a c \right)^{m}}{\left(m^{2}+9 m +20\right) b^{2}}"," ",0,"((b*x+a)^2)^(3/2)*(b*c*x+a*c)^m*(B*b*m*x+A*b*m+4*B*b*x+5*A*b-B*a)*(b*x+a)/b^2/(m^2+9*m+20)","A"
2166,1,62,90,0.051000," ","int((B*x+A)*(b*c*x+a*c)^m/(b^2*x^2+2*a*b*x+a^2)^(3/2),x)","\frac{\left(B b m x +A b m -2 B b x -A b -B a \right) \left(b x +a \right) \left(b c x +a c \right)^{m}}{\left(\left(b x +a \right)^{2}\right)^{\frac{3}{2}} \left(m^{2}-3 m +2\right) b^{2}}"," ",0,"(b*c*x+a*c)^m*(B*b*m*x+A*b*m-2*B*b*x-A*b-B*a)*(b*x+a)/((b*x+a)^2)^(3/2)/b^2/(m^2-3*m+2)","A"
2167,1,96,100,0.050000," ","int((b*c*x+a*c)^m*(g*x+f)*(b^2*x^2+2*a*b*x+a^2)^p,x)","-\frac{\left(-b g m x -2 b g p x -b f m -2 b f p -b g x +a g -2 b f \right) \left(b x +a \right) \left(b c x +a c \right)^{m} \left(b^{2} x^{2}+2 a b x +a^{2}\right)^{p}}{\left(m^{2}+4 m p +4 p^{2}+3 m +6 p +2\right) b^{2}}"," ",0,"-(b^2*x^2+2*a*b*x+a^2)^p*(b*c*x+a*c)^m*(-b*g*m*x-2*b*g*p*x-b*f*m-2*b*f*p-b*g*x+a*g-2*b*f)*(b*x+a)/b^2/(m^2+4*m*p+4*p^2+3*m+6*p+2)","A"
2168,1,55,61,0.046000," ","int((b*c*x+a*c)^(-2*p-3)*(g*x+f)*(b^2*x^2+2*a*b*x+a^2)^p,x)","-\frac{\left(b x +a \right) \left(2 b g x +a g +b f \right) \left(b c x +a c \right)^{-2 p -3} \left(b^{2} x^{2}+2 a b x +a^{2}\right)^{p}}{2 b^{2}}"," ",0,"-1/2*(b*x+a)*(2*b*g*x+a*g+b*f)*(b*c*x+a*c)^(-2*p-3)*(b^2*x^2+2*a*b*x+a^2)^p/b^2","A"
2169,1,48,45,0.045000," ","int((b*x+a)*(b*c*x+a*c)^m*(b^2*x^2+2*a*b*x+a^2)^p,x)","\frac{\left(b x +a \right)^{2} \left(b c x +a c \right)^{m} \left(b^{2} x^{2}+2 a b x +a^{2}\right)^{p}}{\left(m +2 p +2\right) b}"," ",0,"(b*x+a)^2/b/(2+m+2*p)*(b*c*x+a*c)^m*(b^2*x^2+2*a*b*x+a^2)^p","A"
2170,1,45,24,0.051000," ","int((b*x+a)*(b*c*x+a*c)^m*(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{\left(b x +a \right)^{2} \left(b^{2} x^{2}+2 a b x +a^{2}\right)^{3} \left(b c x +a c \right)^{m}}{\left(m +8\right) b}"," ",0,"(b*x+a)^2/b/(m+8)*(b*c*x+a*c)^m*(b^2*x^2+2*a*b*x+a^2)^3","A"
2171,1,45,27,0.047000," ","int((b*x+a)*(b*c*x+a*c)^m/(b^2*x^2+2*a*b*x+a^2)^3,x)","\frac{\left(b c x +a c \right)^{m}}{\left(b x +a \right)^{2} \left(b^{2} x^{2}+2 a b x +a^{2}\right) \left(m -4\right) b}"," ",0,"(b*c*x+a*c)^m/(b*x+a)^2/(b^2*x^2+2*a*b*x+a^2)/b/(-4+m)","A"
2172,1,2217,384,0.112000," ","int((e*x+d)^3*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x)","\frac{21 b^{6} e^{5} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{1024 \sqrt{c \,e^{2}}\, c^{5}}-\frac{7 b^{5} d \,e^{4} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{32 \sqrt{c \,e^{2}}\, c^{4}}-\frac{7 b^{5} e^{5} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{256 \sqrt{c \,e^{2}}\, c^{4}}+\frac{245 b^{4} d^{2} e^{3} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{256 \sqrt{c \,e^{2}}\, c^{3}}+\frac{35 b^{4} d \,e^{4} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{128 \sqrt{c \,e^{2}}\, c^{3}}-\frac{35 b^{3} d^{3} e^{2} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{16 \sqrt{c \,e^{2}}\, c^{2}}-\frac{35 b^{3} d^{2} e^{3} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{32 \sqrt{c \,e^{2}}\, c^{2}}+\frac{175 b^{2} d^{4} e g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{64 \sqrt{c \,e^{2}}\, c}+\frac{35 b^{2} d^{3} e^{2} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{16 \sqrt{c \,e^{2}}\, c}-\frac{7 b \,d^{5} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{4 \sqrt{c \,e^{2}}}-\frac{35 b \,d^{4} e f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{16 \sqrt{c \,e^{2}}}+\frac{7 c \,d^{6} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{16 \sqrt{c \,e^{2}}\, e}+\frac{7 c \,d^{5} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{8 \sqrt{c \,e^{2}}}+\frac{21 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{4} e^{3} g x}{256 c^{4}}-\frac{35 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{3} d \,e^{2} g x}{64 c^{3}}-\frac{7 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{3} e^{3} f x}{64 c^{3}}+\frac{21 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{2} d^{2} e g x}{16 c^{2}}+\frac{21 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{2} d \,e^{2} f x}{32 c^{2}}-\frac{21 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b \,d^{3} g x}{16 c}-\frac{21 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b \,d^{2} e f x}{16 c}+\frac{7 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, d^{4} g x}{16 e}+\frac{7 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, d^{3} f x}{8}+\frac{21 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{5} e^{3} g}{512 c^{5}}-\frac{35 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{4} d \,e^{2} g}{128 c^{4}}-\frac{7 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{4} e^{3} f}{128 c^{4}}+\frac{21 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{3} d^{2} e g}{32 c^{3}}+\frac{21 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{3} d \,e^{2} f}{64 c^{3}}-\frac{21 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{2} d^{3} g}{32 c^{2}}-\frac{21 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{2} d^{2} e f}{32 c^{2}}+\frac{7 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b \,d^{4} g}{32 c e}+\frac{7 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b \,d^{3} f}{16 c}-\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} e g \,x^{3}}{6 c}+\frac{3 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b e g \,x^{2}}{20 c^{2}}-\frac{3 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} d g \,x^{2}}{5 c}-\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} e f \,x^{2}}{5 c}-\frac{21 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b^{2} e g x}{160 c^{3}}+\frac{13 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b d g x}{20 c^{2}}+\frac{7 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b e f x}{40 c^{2}}-\frac{7 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} d^{2} g x}{8 c e}-\frac{3 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} d f x}{4 c}+\frac{7 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b^{3} e g}{64 c^{4}}-\frac{77 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b^{2} d g}{120 c^{3}}-\frac{7 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b^{2} e f}{48 c^{3}}+\frac{59 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b \,d^{2} g}{48 c^{2} e}+\frac{91 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b d f}{120 c^{2}}-\frac{11 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} d^{3} g}{15 c \,e^{2}}-\frac{17 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} d^{2} f}{15 c e}"," ",0,"-21/16*b/c*e*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2*f-35/64*e^2*g*b^3/c^3*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d+35/128*b^4/c^3*e^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d*f+21/32*b^2/c^2*e^2*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d*f-7/32*e^4*g*b^5/c^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d+21/16*e*g*b^2/c^2*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2-35/16*e^2*g*b^3/c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^3+35/16*b^2/c*e^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^3*f-35/32*b^3/c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^2*e^3*f+175/64*e*g*b^2/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^4+245/256*e^3*g*b^4/c^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^2+7/8*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^3*f-3/4*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/c*d*f+7/16/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d^3*f+7/8*c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^5*f-77/120*g*b^2/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d-21/32*g/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b^2*d^3-1/6*e*g*x^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/c+7/16/e*g*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^4+91/120/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b*d*f-3/5*x^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/c*d*g-1/5*x^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/c*e*f-7/48*b^2/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*e*f-7/128*b^4/c^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*e^3*f-7/4*g/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*b*d^5+7/64*e*g*b^3/c^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)-11/15/e^2/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^3*g-17/15/e/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^2*f+21/512*e^3*g*b^5/c^5*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)-7/8/e*g/c*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^2+7/40*b/c^2*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*e*f-7/64*b^3/c^3*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*e^3*f-21/32*b^2/c^2*e*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2*f-35/16*b*e/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^4*f+21/64*b^3/c^3*e^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d*f-7/256*b^5/c^4*e^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*f-21/16*g/c*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d^3+13/20*g/c^2*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b*d+3/20*e*g*b/c^2*x^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)-21/160*e*g*b^2/c^3*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)+21/1024*e^5*g*b^6/c^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))+21/256*e^3*g*b^4/c^4*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)-35/128*e^2*g*b^4/c^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d+21/32*e*g*b^3/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2+59/48/e*g*b/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^2+7/32/e*g/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d^4+7/16/e*g*c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^6","B"
2173,1,1618,313,0.068000," ","int((e*x+d)^2*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x)","-\frac{7 b^{5} e^{4} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{256 \sqrt{c \,e^{2}}\, c^{4}}+\frac{15 b^{4} d \,e^{3} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{64 \sqrt{c \,e^{2}}\, c^{3}}+\frac{5 b^{4} e^{4} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{128 \sqrt{c \,e^{2}}\, c^{3}}-\frac{25 b^{3} d^{2} e^{2} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{32 \sqrt{c \,e^{2}}\, c^{2}}-\frac{5 b^{3} d \,e^{3} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{16 \sqrt{c \,e^{2}}\, c^{2}}+\frac{5 b^{2} d^{3} e g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{4 \sqrt{c \,e^{2}}\, c}+\frac{15 b^{2} d^{2} e^{2} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{16 \sqrt{c \,e^{2}}\, c}-\frac{15 b \,d^{4} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{16 \sqrt{c \,e^{2}}}-\frac{5 b \,d^{3} e f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{4 \sqrt{c \,e^{2}}}+\frac{c \,d^{5} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{4 \sqrt{c \,e^{2}}\, e}+\frac{5 c \,d^{4} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{8 \sqrt{c \,e^{2}}}-\frac{7 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{3} e^{2} g x}{64 c^{3}}+\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{2} d e g x}{2 c^{2}}+\frac{5 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{2} e^{2} f x}{32 c^{2}}-\frac{11 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b \,d^{2} g x}{16 c}-\frac{5 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b d e f x}{8 c}+\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, d^{3} g x}{4 e}+\frac{5 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, d^{2} f x}{8}-\frac{7 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{4} e^{2} g}{128 c^{4}}+\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{3} d e g}{4 c^{3}}+\frac{5 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{3} e^{2} f}{64 c^{3}}-\frac{11 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{2} d^{2} g}{32 c^{2}}-\frac{5 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{2} d e f}{16 c^{2}}+\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b \,d^{3} g}{8 c e}+\frac{5 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b \,d^{2} f}{16 c}-\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} g \,x^{2}}{5 c}+\frac{7 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b g x}{40 c^{2}}-\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} d g x}{2 c e}-\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} f x}{4 c}-\frac{7 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b^{2} g}{48 c^{3}}+\frac{11 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b d g}{20 c^{2} e}+\frac{5 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b f}{24 c^{2}}-\frac{7 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} d^{2} g}{15 c \,e^{2}}-\frac{2 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} d f}{3 c e}"," ",0,"15/64*e^3*g*b^4/c^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d+7/40*g*b/c^2*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)-7/128*e^2*g*b^4/c^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)-5/4*e/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*b*d^3*f+1/4/e*c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^5*g+5/128*b^4/c^3*e^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*f-5/16*e/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b^2*d*f+1/8/e/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d^3*g-1/2*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/c/e*d*g+15/16*b^2/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^2*e^2*f-5/8*e/c*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d*f-5/16*b^3/c^2*e^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d*f-25/32*e^2*g*b^3/c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^2+1/2*e*g*b^2/c^2*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d+5/4*e*g*b^2/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^3-1/5*g*x^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/c-7/48*g*b^2/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)-1/4*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/c*f+5/24*b/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*f+5/8*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2*f+11/20/e*g/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b*d-11/16*g*b/c*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2+1/4*e*g*b^3/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d-7/64*e^2*g*b^3/c^3*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)-7/256*e^4*g*b^5/c^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))+5/32*b^2/c^2*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*e^2*f-11/32*g*b^2/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2-15/16*g*b/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^4-7/15/e^2*g/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^2-2/3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/c/e*d*f+5/16/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d^2*f+5/8*c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^4*f+5/64*b^3/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*e^2*f+1/4/e*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^3*g","B"
2174,1,1114,205,0.072000," ","int((e*x+d)*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x)","\frac{5 b^{4} e^{3} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{128 \sqrt{c \,e^{2}}\, c^{3}}-\frac{b^{3} d \,e^{2} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{4 \sqrt{c \,e^{2}}\, c^{2}}-\frac{b^{3} e^{3} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{16 \sqrt{c \,e^{2}}\, c^{2}}+\frac{9 b^{2} d^{2} e g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{16 \sqrt{c \,e^{2}}\, c}+\frac{3 b^{2} d \,e^{2} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{8 \sqrt{c \,e^{2}}\, c}-\frac{b \,d^{3} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{2 \sqrt{c \,e^{2}}}-\frac{3 b \,d^{2} e f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{4 \sqrt{c \,e^{2}}}+\frac{c \,d^{4} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{8 \sqrt{c \,e^{2}}\, e}+\frac{c \,d^{3} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{2 \sqrt{c \,e^{2}}}+\frac{5 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{2} e g x}{32 c^{2}}-\frac{3 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b d g x}{8 c}-\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b e f x}{4 c}+\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, d^{2} g x}{8 e}+\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, d f x}{2}+\frac{5 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{3} e g}{64 c^{3}}-\frac{3 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{2} d g}{16 c^{2}}-\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{2} e f}{8 c^{2}}+\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b \,d^{2} g}{16 c e}+\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b d f}{4 c}-\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} g x}{4 c e}+\frac{5 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b g}{24 c^{2} e}-\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} d g}{3 c \,e^{2}}-\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} f}{3 c e}"," ",0,"-1/4*b/c*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*e*f-1/16*b^3/c^2*e^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*f-3/4*b/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^2*e*f+3/8*b^2/c*e^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d*f-1/4*e^2*g*b^3/c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d+9/16*e*g*b^2/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^2+5/32*e*g*b^2/c^2*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)+5/128*e^3*g*b^4/c^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))-3/8*g/c*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d+1/16/e*g/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d^2+1/8/e*g*c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^4+1/2*d*f*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)-1/3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/c/e*f+1/2*d^3*f*c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))+1/8/e*g*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2-1/3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/c/e^2*d*g-1/8*b^2/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*e*f+1/4*d*f/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b+5/64*e*g*b^3/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)-1/4/e*g*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/c+5/24/e*g*b/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)-3/16*g/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b^2*d-1/2*g/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*b*d^3","B"
2175,1,697,174,0.059000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d),x)","\frac{b^{2} e g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{8 \sqrt{c \,e^{2}}\, c}-\frac{b d g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{2 \sqrt{c \,e^{2}}}+\frac{b d g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{2 \sqrt{c \,e^{2}}}-\frac{b e f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{2 \sqrt{c \,e^{2}}}+\frac{c \,d^{2} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{2 \sqrt{c \,e^{2}}\, e}-\frac{c \,d^{2} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\sqrt{c \,e^{2}}\, e}+\frac{c d f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\sqrt{c \,e^{2}}}+\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, g x}{2 e}+\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b g}{4 c e}-\frac{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, d g}{e^{2}}+\frac{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, f}{e}"," ",0,"1/2*g/e*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x+1/4*g/e/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b+1/8*g*e/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*b^2-1/2*g/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*b*d+1/2*g/e*c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^2-1/e^2*(-c*(x+d/e)^2*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d*g+1/e*(-c*(x+d/e)^2*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*f+1/2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-c*(x+d/e)^2*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*b*d*g-1/2*e/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-c*(x+d/e)^2*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*b*f-1/e/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-c*(x+d/e)^2*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*c*d^2*g+1/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-c*(x+d/e)^2*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*c*d*f","B"
2176,1,880,186,0.064000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d)^2,x)","-\frac{b c d e g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\left(-b \,e^{2}+2 c d e \right) \sqrt{c \,e^{2}}}+\frac{b c \,e^{2} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\left(-b \,e^{2}+2 c d e \right) \sqrt{c \,e^{2}}}+\frac{2 c^{2} d^{2} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\left(-b \,e^{2}+2 c d e \right) \sqrt{c \,e^{2}}}-\frac{2 c^{2} d e f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\left(-b \,e^{2}+2 c d e \right) \sqrt{c \,e^{2}}}-\frac{b g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{2 \sqrt{c \,e^{2}}}+\frac{c d g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\sqrt{c \,e^{2}}\, e}+\frac{2 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, c d g}{\left(-b \,e^{2}+2 c d e \right) e}-\frac{2 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, c f}{-b \,e^{2}+2 c d e}+\frac{2 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{3}{2}} d g}{\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)^{2} e^{3}}-\frac{2 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{3}{2}} f}{\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)^{2} e^{2}}+\frac{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, g}{e^{2}}"," ",0,"2/e^3/(-b*e^2+2*c*d*e)/(x+d/e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*d*g-2/e^2/(-b*e^2+2*c*d*e)/(x+d/e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*f+2/e*c/(-b*e^2+2*c*d*e)*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d*g-2*c/(-b*e^2+2*c*d*e)*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*f-e*c/(-b*e^2+2*c*d*e)/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*b*d*g+e^2*c/(-b*e^2+2*c*d*e)/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*b*f+2*c^2/(-b*e^2+2*c*d*e)/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^2*g-2*e*c^2/(-b*e^2+2*c*d*e)/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d*f+g/e^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)-1/2*g/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*b+g/e/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*c*d","B"
2177,1,404,154,0.069000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d)^3,x)","\frac{b c e g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\left(-b \,e^{2}+2 c d e \right) \sqrt{c \,e^{2}}}-\frac{2 c^{2} d g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\left(-b \,e^{2}+2 c d e \right) \sqrt{c \,e^{2}}}-\frac{2 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, c g}{\left(-b \,e^{2}+2 c d e \right) e}-\frac{2 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{3}{2}} g}{\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)^{2} e^{3}}-\frac{2 \left(-d g +e f \right) \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{3}{2}}}{3 \left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)^{3} e^{4}}"," ",0,"-2*g/e^3/(-b*e^2+2*c*d*e)/(x+d/e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)-2*g/e*c/(-b*e^2+2*c*d*e)*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)+g*e*c/(-b*e^2+2*c*d*e)/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*b-2*g*c^2/(-b*e^2+2*c*d*e)/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d-2/3*(-d*g+e*f)/e^4/(-b*e^2+2*c*d*e)/(x+d/e)^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)","B"
2178,1,128,129,0.071000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d)^4,x)","-\frac{2 \left(c e x +b e -c d \right) \left(5 b \,e^{2} g x -8 c d e g x -2 c \,e^{2} f x +2 b d e g +3 b \,e^{2} f -2 c \,d^{2} g -8 c d e f \right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}{15 \left(e x +d \right)^{3} \left(b^{2} e^{2}-4 b c d e +4 c^{2} d^{2}\right) e^{2}}"," ",0,"-2/15*(c*e*x+b*e-c*d)*(5*b*e^2*g*x-8*c*d*e*g*x-2*c*e^2*f*x+2*b*d*e*g+3*b*e^2*f-2*c*d^2*g-8*c*d*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d)^3/e^2/(b^2*e^2-4*b*c*d*e+4*c^2*d^2)","A"
2179,1,236,198,0.056000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d)^5,x)","-\frac{2 \left(c e x +b e -c d \right) \left(-14 b c \,e^{3} g \,x^{2}+20 c^{2} d \,e^{2} g \,x^{2}+8 c^{2} e^{3} f \,x^{2}+21 b^{2} e^{3} g x -100 b c d \,e^{2} g x -12 b c \,e^{3} f x +100 c^{2} d^{2} e g x +40 c^{2} d \,e^{2} f x +6 b^{2} d \,e^{2} g +15 b^{2} e^{3} f -26 b c \,d^{2} e g -72 b c d \,e^{2} f +20 c^{2} d^{3} g +92 c^{2} d^{2} e f \right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}{105 \left(e x +d \right)^{4} \left(b^{3} e^{3}-6 b^{2} c d \,e^{2}+12 b \,c^{2} d^{2} e -8 c^{3} d^{3}\right) e^{2}}"," ",0,"-2/105*(c*e*x+b*e-c*d)*(-14*b*c*e^3*g*x^2+20*c^2*d*e^2*g*x^2+8*c^2*e^3*f*x^2+21*b^2*e^3*g*x-100*b*c*d*e^2*g*x-12*b*c*e^3*f*x+100*c^2*d^2*e*g*x+40*c^2*d*e^2*f*x+6*b^2*d*e^2*g+15*b^2*e^3*f-26*b*c*d^2*e*g-72*b*c*d*e^2*f+20*c^2*d^3*g+92*c^2*d^2*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d)^4/(b^3*e^3-6*b^2*c*d*e^2+12*b*c^2*d^2*e-8*c^3*d^3)/e^2","A"
2180,1,382,269,0.057000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d)^6,x)","-\frac{2 \left(c e x +b e -c d \right) \left(24 b \,c^{2} e^{4} g \,x^{3}-32 c^{3} d \,e^{3} g \,x^{3}-16 c^{3} e^{4} f \,x^{3}-36 b^{2} c \,e^{4} g \,x^{2}+192 b \,c^{2} d \,e^{3} g \,x^{2}+24 b \,c^{2} e^{4} f \,x^{2}-192 c^{3} d^{2} e^{2} g \,x^{2}-96 c^{3} d \,e^{3} f \,x^{2}+45 b^{3} e^{4} g x -312 b^{2} c d \,e^{3} g x -30 b^{2} c \,e^{4} f x +732 b \,c^{2} d^{2} e^{2} g x +168 b \,c^{2} d \,e^{3} f x -528 c^{3} d^{3} e g x -264 c^{3} d^{2} e^{2} f x +10 b^{3} d \,e^{3} g +35 b^{3} e^{4} f -66 b^{2} c \,d^{2} e^{2} g -240 b^{2} c d \,e^{3} f +144 b \,c^{2} d^{3} e g +564 b \,c^{2} d^{2} e^{2} f -88 c^{3} d^{4} g -464 c^{3} d^{3} e f \right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}{315 \left(e x +d \right)^{5} \left(b^{4} e^{4}-8 b^{3} c d \,e^{3}+24 b^{2} c^{2} d^{2} e^{2}-32 b \,c^{3} d^{3} e +16 c^{4} d^{4}\right) e^{2}}"," ",0,"-2/315*(c*e*x+b*e-c*d)*(24*b*c^2*e^4*g*x^3-32*c^3*d*e^3*g*x^3-16*c^3*e^4*f*x^3-36*b^2*c*e^4*g*x^2+192*b*c^2*d*e^3*g*x^2+24*b*c^2*e^4*f*x^2-192*c^3*d^2*e^2*g*x^2-96*c^3*d*e^3*f*x^2+45*b^3*e^4*g*x-312*b^2*c*d*e^3*g*x-30*b^2*c*e^4*f*x+732*b*c^2*d^2*e^2*g*x+168*b*c^2*d*e^3*f*x-528*c^3*d^3*e*g*x-264*c^3*d^2*e^2*f*x+10*b^3*d*e^3*g+35*b^3*e^4*f-66*b^2*c*d^2*e^2*g-240*b^2*c*d*e^3*f+144*b*c^2*d^3*e*g+564*b*c^2*d^2*e^2*f-88*c^3*d^4*g-464*c^3*d^3*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d)^5/e^2/(b^4*e^4-8*b^3*c*d*e^3+24*b^2*c^2*d^2*e^2-32*b*c^3*d^3*e+16*c^4*d^4)","A"
2181,1,564,340,0.058000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d)^7,x)","-\frac{2 \left(c e x +b e -c d \right) \left(-176 b \,c^{3} e^{5} g \,x^{4}+224 c^{4} d \,e^{4} g \,x^{4}+128 c^{4} e^{5} f \,x^{4}+264 b^{2} c^{2} e^{5} g \,x^{3}-1568 b \,c^{3} d \,e^{4} g \,x^{3}-192 b \,c^{3} e^{5} f \,x^{3}+1568 c^{4} d^{2} e^{3} g \,x^{3}+896 c^{4} d \,e^{4} f \,x^{3}-330 b^{3} c \,e^{5} g \,x^{2}+2532 b^{2} c^{2} d \,e^{4} g \,x^{2}+240 b^{2} c^{2} e^{5} f \,x^{2}-6648 b \,c^{3} d^{2} e^{3} g \,x^{2}-1536 b \,c^{3} d \,e^{4} f \,x^{2}+5040 c^{4} d^{3} e^{2} g \,x^{2}+2880 c^{4} d^{2} e^{3} f \,x^{2}+385 b^{4} e^{5} g x -3460 b^{3} c d \,e^{4} g x -280 b^{3} c \,e^{5} f x +11832 b^{2} c^{2} d^{2} e^{3} g x +2160 b^{2} c^{2} d \,e^{4} f x -18256 b \,c^{3} d^{3} e^{2} g x -5856 b \,c^{3} d^{2} e^{3} f x +10192 c^{4} d^{4} e g x +5824 c^{4} d^{3} e^{2} f x +70 b^{4} d \,e^{4} g +315 b^{4} e^{5} f -610 b^{3} c \,d^{2} e^{3} g -2800 b^{3} c d \,e^{4} f +2004 b^{2} c^{2} d^{3} e^{2} g +9480 b^{2} c^{2} d^{2} e^{3} f -2920 b \,c^{3} d^{4} e g -14592 b \,c^{3} d^{3} e^{2} f +1456 c^{4} d^{5} g +8752 c^{4} d^{4} e f \right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}{3465 \left(e x +d \right)^{6} \left(b^{5} e^{5}-10 b^{4} c d \,e^{4}+40 b^{3} c^{2} d^{2} e^{3}-80 b^{2} c^{3} d^{3} e^{2}+80 b \,c^{4} d^{4} e -32 c^{5} d^{5}\right) e^{2}}"," ",0,"-2/3465*(c*e*x+b*e-c*d)*(-176*b*c^3*e^5*g*x^4+224*c^4*d*e^4*g*x^4+128*c^4*e^5*f*x^4+264*b^2*c^2*e^5*g*x^3-1568*b*c^3*d*e^4*g*x^3-192*b*c^3*e^5*f*x^3+1568*c^4*d^2*e^3*g*x^3+896*c^4*d*e^4*f*x^3-330*b^3*c*e^5*g*x^2+2532*b^2*c^2*d*e^4*g*x^2+240*b^2*c^2*e^5*f*x^2-6648*b*c^3*d^2*e^3*g*x^2-1536*b*c^3*d*e^4*f*x^2+5040*c^4*d^3*e^2*g*x^2+2880*c^4*d^2*e^3*f*x^2+385*b^4*e^5*g*x-3460*b^3*c*d*e^4*g*x-280*b^3*c*e^5*f*x+11832*b^2*c^2*d^2*e^3*g*x+2160*b^2*c^2*d*e^4*f*x-18256*b*c^3*d^3*e^2*g*x-5856*b*c^3*d^2*e^3*f*x+10192*c^4*d^4*e*g*x+5824*c^4*d^3*e^2*f*x+70*b^4*d*e^4*g+315*b^4*e^5*f-610*b^3*c*d^2*e^3*g-2800*b^3*c*d*e^4*f+2004*b^2*c^2*d^3*e^2*g+9480*b^2*c^2*d^2*e^3*f-2920*b*c^3*d^4*e*g-14592*b*c^3*d^3*e^2*f+1456*c^4*d^5*g+8752*c^4*d^4*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d)^6/e^2/(b^5*e^5-10*b^4*c*d*e^4+40*b^3*c^2*d^2*e^3-80*b^2*c^3*d^3*e^2+80*b*c^4*d^4*e-32*c^5*d^5)","A"
2182,1,782,415,0.066000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d)^8,x)","-\frac{2 \left(c e x +b e -c d \right) \left(1664 b \,c^{4} e^{6} g \,x^{5}-2048 c^{5} d \,e^{5} g \,x^{5}-1280 c^{5} e^{6} f \,x^{5}-2496 b^{2} c^{3} e^{6} g \,x^{4}+16384 b \,c^{4} d \,e^{5} g \,x^{4}+1920 b \,c^{4} e^{6} f \,x^{4}-16384 c^{5} d^{2} e^{4} g \,x^{4}-10240 c^{5} d \,e^{5} f \,x^{4}+3120 b^{3} c^{2} e^{6} g \,x^{3}-26304 b^{2} c^{3} d \,e^{5} g \,x^{3}-2400 b^{2} c^{3} e^{6} f \,x^{3}+76736 b \,c^{4} d^{2} e^{4} g \,x^{3}+17280 b \,c^{4} d \,e^{5} f \,x^{3}-60416 c^{5} d^{3} e^{3} g \,x^{3}-37760 c^{5} d^{2} e^{4} f \,x^{3}-3640 b^{4} c \,e^{6} g \,x^{2}+35680 b^{3} c^{2} d \,e^{5} g \,x^{2}+2800 b^{3} c^{2} e^{6} f \,x^{2}-134496 b^{2} c^{3} d^{2} e^{4} g \,x^{2}-24000 b^{2} c^{3} d \,e^{5} f \,x^{2}+231424 b \,c^{4} d^{3} e^{3} g \,x^{2}+73920 b \,c^{4} d^{2} e^{4} f \,x^{2}-139264 c^{5} d^{4} e^{2} g \,x^{2}-87040 c^{5} d^{3} e^{3} f \,x^{2}+4095 b^{5} e^{6} g x -45080 b^{4} c d \,e^{5} g x -3150 b^{4} c \,e^{6} f x +200600 b^{3} c^{2} d^{2} e^{4} g x +30800 b^{3} c^{2} d \,e^{5} f x -452064 b^{2} c^{3} d^{3} e^{3} g x -116400 b^{2} c^{3} d^{2} e^{4} f x +516656 b \,c^{4} d^{4} e^{2} g x +204480 b \,c^{4} d^{3} e^{3} f x -233216 c^{5} d^{5} e g x -145760 c^{5} d^{4} e^{2} f x +630 b^{5} d \,e^{5} g +3465 b^{5} e^{6} f -6790 b^{4} c \,d^{2} e^{4} g -37800 b^{4} c d \,e^{5} f +29440 b^{3} c^{2} d^{3} e^{3} g +166600 b^{3} c^{2} d^{2} e^{4} f -64176 b^{2} c^{3} d^{4} e^{2} g -372000 b^{2} c^{3} d^{3} e^{3} f +70048 b \,c^{4} d^{5} e g +423120 b \,c^{4} d^{4} e^{2} f -29152 c^{5} d^{6} g -198400 c^{5} d^{5} e f \right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}{45045 \left(e x +d \right)^{7} \left(b^{6} e^{6}-12 b^{5} c d \,e^{5}+60 b^{4} c^{2} d^{2} e^{4}-160 b^{3} c^{3} d^{3} e^{3}+240 b^{2} c^{4} d^{4} e^{2}-192 b \,c^{5} d^{5} e +64 c^{6} d^{6}\right) e^{2}}"," ",0,"-2/45045*(c*e*x+b*e-c*d)*(1664*b*c^4*e^6*g*x^5-2048*c^5*d*e^5*g*x^5-1280*c^5*e^6*f*x^5-2496*b^2*c^3*e^6*g*x^4+16384*b*c^4*d*e^5*g*x^4+1920*b*c^4*e^6*f*x^4-16384*c^5*d^2*e^4*g*x^4-10240*c^5*d*e^5*f*x^4+3120*b^3*c^2*e^6*g*x^3-26304*b^2*c^3*d*e^5*g*x^3-2400*b^2*c^3*e^6*f*x^3+76736*b*c^4*d^2*e^4*g*x^3+17280*b*c^4*d*e^5*f*x^3-60416*c^5*d^3*e^3*g*x^3-37760*c^5*d^2*e^4*f*x^3-3640*b^4*c*e^6*g*x^2+35680*b^3*c^2*d*e^5*g*x^2+2800*b^3*c^2*e^6*f*x^2-134496*b^2*c^3*d^2*e^4*g*x^2-24000*b^2*c^3*d*e^5*f*x^2+231424*b*c^4*d^3*e^3*g*x^2+73920*b*c^4*d^2*e^4*f*x^2-139264*c^5*d^4*e^2*g*x^2-87040*c^5*d^3*e^3*f*x^2+4095*b^5*e^6*g*x-45080*b^4*c*d*e^5*g*x-3150*b^4*c*e^6*f*x+200600*b^3*c^2*d^2*e^4*g*x+30800*b^3*c^2*d*e^5*f*x-452064*b^2*c^3*d^3*e^3*g*x-116400*b^2*c^3*d^2*e^4*f*x+516656*b*c^4*d^4*e^2*g*x+204480*b*c^4*d^3*e^3*f*x-233216*c^5*d^5*e*g*x-145760*c^5*d^4*e^2*f*x+630*b^5*d*e^5*g+3465*b^5*e^6*f-6790*b^4*c*d^2*e^4*g-37800*b^4*c*d*e^5*f+29440*b^3*c^2*d^3*e^3*g+166600*b^3*c^2*d^2*e^4*f-64176*b^2*c^3*d^4*e^2*g-372000*b^2*c^3*d^3*e^3*f+70048*b*c^4*d^5*e*g+423120*b*c^4*d^4*e^2*f-29152*c^5*d^6*g-198400*c^5*d^5*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d)^7/e^2/(b^6*e^6-12*b^5*c*d*e^5+60*b^4*c^2*d^2*e^4-160*b^3*c^3*d^3*e^3+240*b^2*c^4*d^4*e^2-192*b*c^5*d^5*e+64*c^6*d^6)","A"
2183,1,3576,454,0.085000," ","int((e*x+d)^3*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x)","\text{output too large to display}"," ",0,"9/32*b^2/c^2*e^2*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d*f+45/256*b^4/c^3*e^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d*f+63/1024*b^6/c^4*e^6/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d*f+315/256*b^4/c^2*e^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^3*f-189/512*b^5/c^3*e^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^2*f-63/32*b*c*e/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^6*f+45/32*b^2/c*e^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^3*f+3/8*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^3*f+9/32*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d^5*f+3/16/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b*d^3*f+567/2048*e^5*g*b^6/c^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^2-63/64*e^4*g*b^5/c^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^3-45/64*b^3/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^2*e^3*f+63/128*e*g*b^2/c^2*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^2+765/512*e*g*b^2/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^4-27/128*e^2*g*b^3/c^3*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d-189/64*e^2*g*b^3/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^5-315/256*e^2*g*b^3/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^3+1125/2048*e^3*g*b^4/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^2+2205/1024*e^3*g*b^4/c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^4-315/128*b^3/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^4*e^3*f-261/2048*e^4*g*b^5/c^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d-45/1024*e^6*g*b^7/c^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d+33/2048*e^3*g*b^5/c^5*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)-1/8*e*g*x^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/c+9/64/e*g*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^4+27/256/e*g*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d^6-69/224*g*b^2/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*d-117/128*g*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^5*b-117/256*g/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b^2*d^5-13/35/e^2/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*d^3*g-23/35/e/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*d^2*f-1/7*x^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/c*e*f-3/128*b^4/c^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*e^3*f-15/64*g/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b^2*d^3+9/16*c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^5*f+9/16*c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^7*f-1/2*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/c*d*f-3/40*b^2/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*e*f-9/1024*b^6/c^5*e^5*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*f-3/7*x^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/c*d*g+57/140/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*b*d*f+33/640*e*g*b^3/c^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)+99/16384*e^5*g*b^7/c^6*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)-9/16*b/c*e*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^2*f-261/4096*e^4*g*b^6/c^5*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d+99/32768*e^7*g*b^8/c^6/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))+99/8192*e^5*g*b^6/c^5*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x-33/448*e*g*b^2/c^3*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)+11/112*e*g*b/c^2*x^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)+45/64*b^3/c^2*e^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^3*f+765/1024*e*g*b^3/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^4-315/512*e^2*g*b^4/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^3+677/1120/e*g*b/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*d^2-45/32*b*e*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^4*f-3/64*b^3/c^3*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*e^3*f-45/128*b^4/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2*e^3*f-9/32*b^2/c^2*e*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^2*f-45/64*b^2/c*e*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^4*f-27/256*e^2*g*b^4/c^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d+9/64*b^3/c^3*e^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d*f-9/16/e*g/c*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*d^2+43/112*g/c^2*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*b*d-9/8*g*c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^7*b-15/32*g/c*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^3*b+9/128/e*g/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b*d^4+27/128/e*g*c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^6+27/128/e*g*c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^8+189/64*b^2*e^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^5*f+3/28*b/c^2*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*e*f-9/512*b^5/c^4*e^5*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*f+45/512*b^5/c^4*e^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d*f-9/2048*b^7/c^5*e^7/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*f+63/256*e*g*b^3/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^2+33/1024*e^3*g*b^4/c^4*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)+315/128*e*g*b^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^6+1125/4096*e^3*g*b^5/c^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2","B"
2184,1,2799,383,0.073000," ","int((e*x+d)^2*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x)","-\frac{9 b^{7} e^{6} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{2048 \sqrt{c \,e^{2}}\, c^{5}}+\frac{7 b^{6} d \,e^{5} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{128 \sqrt{c \,e^{2}}\, c^{4}}+\frac{7 b^{6} e^{6} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{1024 \sqrt{c \,e^{2}}\, c^{4}}-\frac{147 b^{5} d^{2} e^{4} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{512 \sqrt{c \,e^{2}}\, c^{3}}-\frac{21 b^{5} d \,e^{5} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{256 \sqrt{c \,e^{2}}\, c^{3}}+\frac{105 b^{4} d^{3} e^{3} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{128 \sqrt{c \,e^{2}}\, c^{2}}+\frac{105 b^{4} d^{2} e^{4} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{256 \sqrt{c \,e^{2}}\, c^{2}}-\frac{175 b^{3} d^{4} e^{2} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{128 \sqrt{c \,e^{2}}\, c}-\frac{35 b^{3} d^{3} e^{3} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{32 \sqrt{c \,e^{2}}\, c}+\frac{21 b^{2} d^{5} e g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{16 \sqrt{c \,e^{2}}}+\frac{105 b^{2} d^{4} e^{2} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{64 \sqrt{c \,e^{2}}}-\frac{21 b c \,d^{6} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{32 \sqrt{c \,e^{2}}}-\frac{21 b c \,d^{5} e f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{16 \sqrt{c \,e^{2}}}+\frac{c^{2} d^{7} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{8 \sqrt{c \,e^{2}}\, e}+\frac{7 c^{2} d^{6} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{16 \sqrt{c \,e^{2}}}-\frac{9 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{5} e^{4} g x}{512 c^{4}}+\frac{19 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{4} d \,e^{3} g x}{128 c^{3}}+\frac{7 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{4} e^{4} f x}{256 c^{3}}-\frac{31 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{3} d^{2} e^{2} g x}{64 c^{2}}-\frac{7 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{3} d \,e^{3} f x}{32 c^{2}}+\frac{3 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{2} d^{3} e g x}{4 c}+\frac{21 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{2} d^{2} e^{2} f x}{32 c}-\frac{17 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b \,d^{4} g x}{32}-\frac{7 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b \,d^{3} e f x}{8}+\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c \,d^{5} g x}{8 e}+\frac{7 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c \,d^{4} f x}{16}-\frac{9 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{6} e^{4} g}{1024 c^{5}}+\frac{19 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{5} d \,e^{3} g}{256 c^{4}}+\frac{7 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{5} e^{4} f}{512 c^{4}}-\frac{31 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{4} d^{2} e^{2} g}{128 c^{3}}-\frac{7 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{4} d \,e^{3} f}{64 c^{3}}+\frac{3 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{3} d^{3} e g}{8 c^{2}}+\frac{21 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{3} d^{2} e^{2} f}{64 c^{2}}-\frac{17 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{2} d^{4} g}{64 c}-\frac{7 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{2} d^{3} e f}{16 c}+\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b \,d^{5} g}{16 e}+\frac{7 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b \,d^{4} f}{32}-\frac{3 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b^{3} e^{2} g x}{64 c^{3}}+\frac{5 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b^{2} d e g x}{24 c^{2}}+\frac{7 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b^{2} e^{2} f x}{96 c^{2}}-\frac{13 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b \,d^{2} g x}{48 c}-\frac{7 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b d e f x}{24 c}+\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} d^{3} g x}{12 e}+\frac{7 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} d^{2} f x}{24}-\frac{3 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b^{4} e^{2} g}{128 c^{4}}+\frac{5 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b^{3} d e g}{48 c^{3}}+\frac{7 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b^{3} e^{2} f}{192 c^{3}}-\frac{13 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b^{2} d^{2} g}{96 c^{2}}-\frac{7 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b^{2} d e f}{48 c^{2}}+\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b \,d^{3} g}{24 c e}+\frac{7 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b \,d^{2} f}{48 c}-\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}} g \,x^{2}}{7 c}+\frac{3 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}} b g x}{28 c^{2}}-\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}} d g x}{3 c e}-\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}} f x}{6 c}-\frac{3 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}} b^{2} g}{40 c^{3}}+\frac{61 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}} b d g}{210 c^{2} e}+\frac{7 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}} b f}{60 c^{2}}-\frac{9 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}} d^{2} g}{35 c \,e^{2}}-\frac{2 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}} d f}{5 c e}"," ",0,"-1/6*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/c*f+7/60*b/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*f+7/32*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d^4*f-21/256*b^5/c^3*e^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d*f+19/128*e^3*g*b^4/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d+5/24*e*g*b^2/c^2*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d+105/128*e^3*g*b^4/c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^3-175/128*e^2*g*b^3/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^4-147/512*e^4*g*b^5/c^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^2+7/128*e^5*g*b^6/c^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d-31/64*e^2*g*b^3/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^2+7/24*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^2*f-3/40*g*b^2/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)-1/7*g*x^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/c-3/128*e^2*g*b^4/c^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)-9/1024*e^4*g*b^6/c^5*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)+105/256*b^4/c^2*e^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^2*f-35/32*b^3/c*e^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^3*f-7/32*b^3/c^2*e^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d*f-21/16*e*c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*b*d^5*f-7/24*e/c*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b*d*f+21/32*b^2/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^2*e^2*f+3/4*e*g*b^2/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^3-7/64*b^4/c^3*e^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d*f+7/1024*b^6/c^4*e^6/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*f+7/256*b^4/c^3*e^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*f+105/64*b^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^4*e^2*f-7/8*e*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*b*d^3*f-1/3*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/c/e*d*g-21/32*g*b*c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^6-13/48*g*b/c*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^2-3/64*e^2*g*b^3/c^3*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)+21/16*e*g*b^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^5+3/8*e*g*b^3/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^3+5/48*e*g*b^3/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d-9/35/e^2*g/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*d^2-2/5*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/c/e*d*f-17/64*g*b^2/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^4+3/28*g*b/c^2*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)-13/96*g*b^2/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^2-17/32*g*b*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^4+7/16*c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^4*f+7/16*c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^6*f+7/48/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b*d^2*f+7/512*b^5/c^4*e^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*f+7/192*b^3/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*e^2*f+1/16/e*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d^5*g+1/12/e*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^3*g-31/128*e^2*g*b^4/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2+19/256*e^3*g*b^5/c^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d-9/2048*e^6*g*b^7/c^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))-9/512*e^4*g*b^5/c^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x+61/210/e*g/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*b*d+7/96*b^2/c^2*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*e^2*f+21/64*b^3/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2*e^2*f+1/8/e*c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^5*g-7/16*e/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b^2*d^3*f+1/8/e*c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^7*g-7/48*e/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b^2*d*f+1/24/e/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b*d^3*g","B"
2185,1,2117,275,0.066000," ","int((e*x+d)*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x)","\frac{7 b^{6} e^{5} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{1024 \sqrt{c \,e^{2}}\, c^{4}}-\frac{9 b^{5} d \,e^{4} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{128 \sqrt{c \,e^{2}}\, c^{3}}-\frac{3 b^{5} e^{5} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{256 \sqrt{c \,e^{2}}\, c^{3}}+\frac{75 b^{4} d^{2} e^{3} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{256 \sqrt{c \,e^{2}}\, c^{2}}+\frac{15 b^{4} d \,e^{4} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{128 \sqrt{c \,e^{2}}\, c^{2}}-\frac{5 b^{3} d^{3} e^{2} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{8 \sqrt{c \,e^{2}}\, c}-\frac{15 b^{3} d^{2} e^{3} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{32 \sqrt{c \,e^{2}}\, c}+\frac{45 b^{2} d^{4} e g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{64 \sqrt{c \,e^{2}}}+\frac{15 b^{2} d^{3} e^{2} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{16 \sqrt{c \,e^{2}}}-\frac{3 b c \,d^{5} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{8 \sqrt{c \,e^{2}}}-\frac{15 b c \,d^{4} e f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{16 \sqrt{c \,e^{2}}}+\frac{c^{2} d^{6} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{16 \sqrt{c \,e^{2}}\, e}+\frac{3 c^{2} d^{5} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{8 \sqrt{c \,e^{2}}}+\frac{7 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{4} e^{3} g x}{256 c^{3}}-\frac{11 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{3} d \,e^{2} g x}{64 c^{2}}-\frac{3 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{3} e^{3} f x}{64 c^{2}}+\frac{3 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{2} d^{2} e g x}{8 c}+\frac{9 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{2} d \,e^{2} f x}{32 c}-\frac{5 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b \,d^{3} g x}{16}-\frac{9 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b \,d^{2} e f x}{16}+\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c \,d^{4} g x}{16 e}+\frac{3 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c \,d^{3} f x}{8}+\frac{7 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{5} e^{3} g}{512 c^{4}}-\frac{11 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{4} d \,e^{2} g}{128 c^{3}}-\frac{3 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{4} e^{3} f}{128 c^{3}}+\frac{3 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{3} d^{2} e g}{16 c^{2}}+\frac{9 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{3} d \,e^{2} f}{64 c^{2}}-\frac{5 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{2} d^{3} g}{32 c}-\frac{9 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{2} d^{2} e f}{32 c}+\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b \,d^{4} g}{32 e}+\frac{3 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b \,d^{3} f}{16}+\frac{7 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b^{2} e g x}{96 c^{2}}-\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b d g x}{6 c}-\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b e f x}{8 c}+\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} d^{2} g x}{24 e}+\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} d f x}{4}+\frac{7 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b^{3} e g}{192 c^{3}}-\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b^{2} d g}{12 c^{2}}-\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b^{2} e f}{16 c^{2}}+\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b \,d^{2} g}{48 c e}+\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b d f}{8 c}-\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}} g x}{6 c e}+\frac{7 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}} b g}{60 c^{2} e}-\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}} d g}{5 c \,e^{2}}-\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}} f}{5 c e}"," ",0,"-1/6*g/c*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b*d-1/8*b/c*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*e*f-5/8*e^2*g*b^3/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^3+7/256*e^3*g*b^4/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x+1/48/e*g/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b*d^2+15/16*b^2*e^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^3*f+9/64*b^3/c^2*e^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d*f-1/5*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/c/e*f+1/4*d*f*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)+3/16*d^3*f*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b+1/16/e*g*c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^6-11/128*e^2*g*b^4/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d+1/16/e*g*c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^4-5/16*g*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*b*d^3+1/24/e*g*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^2+1/32/e*g*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d^4-5/32*g/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b^2*d^3-1/12*g/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b^2*d+7/192*e*g*b^3/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)+1/8*d*f/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b+3/8*e*g*b^2/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^2+15/128*b^4/c^2*e^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d*f-15/32*b^3/c*e^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^2*f-15/16*b*c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^4*e*f+75/256*e^3*g*b^4/c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^2+9/32*b^2/c*e^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d*f-11/64*e^2*g*b^3/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d-9/128*e^4*g*b^5/c^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d+3/8*d^3*f*c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x+3/8*d^5*f*c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))-1/16*b^2/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*e*f-3/128*b^4/c^3*e^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*f+7/512*e^3*g*b^5/c^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)+7/60/e*g*b/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)-9/32*b^2/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2*e*f-3/8*g*c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*b*d^5+7/1024*e^5*g*b^6/c^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))+45/64*e*g*b^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^4-3/64*b^3/c^2*e^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*f-9/16*b*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^2*e*f-3/256*b^5/c^3*e^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*f+7/96*e*g*b^2/c^2*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)+3/16*e*g*b^3/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2-1/6/e*g*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/c-1/5*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/c/e^2*d*g","B"
2186,1,1817,244,0.058000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d),x)","\frac{3 b^{4} e^{3} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{128 \sqrt{c \,e^{2}}\, c^{2}}-\frac{3 b^{3} d \,e^{2} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{16 \sqrt{c \,e^{2}}\, c}+\frac{b^{3} d \,e^{2} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{16 \sqrt{c \,e^{2}}\, c}-\frac{b^{3} e^{3} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{16 \sqrt{c \,e^{2}}\, c}+\frac{9 b^{2} d^{2} e g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{16 \sqrt{c \,e^{2}}}-\frac{3 b^{2} d^{2} e g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{8 \sqrt{c \,e^{2}}}+\frac{3 b^{2} d \,e^{2} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{8 \sqrt{c \,e^{2}}}-\frac{3 b c \,d^{3} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{4 \sqrt{c \,e^{2}}}+\frac{3 b c \,d^{3} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{4 \sqrt{c \,e^{2}}}-\frac{3 b c \,d^{2} e f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{4 \sqrt{c \,e^{2}}}+\frac{3 c^{2} d^{4} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{8 \sqrt{c \,e^{2}}\, e}-\frac{c^{2} d^{4} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{2 \sqrt{c \,e^{2}}\, e}+\frac{c^{2} d^{3} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{2 \sqrt{c \,e^{2}}}+\frac{3 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{2} e g x}{32 c}-\frac{3 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b d g x}{8}+\frac{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b d g x}{4}-\frac{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b e f x}{4}-\frac{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, c \,d^{2} g x}{2 e}+\frac{3 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c \,d^{2} g x}{8 e}+\frac{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, c d f x}{2}+\frac{3 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{3} e g}{64 c^{2}}+\frac{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b^{2} d g}{8 c}-\frac{3 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{2} d g}{16 c}-\frac{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b^{2} e f}{8 c}+\frac{3 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b \,d^{2} g}{16 e}-\frac{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b \,d^{2} g}{4 e}+\frac{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b d f}{4}+\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} g x}{4 e}+\frac{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} b g}{8 c e}-\frac{\left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{3}{2}} d g}{3 e^{2}}+\frac{\left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{3}{2}} f}{3 e}"," ",0,"3/4*b*c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^3*g-1/2/e*c*d^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*g-1/2/e*c^2*d^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*g-1/16*e^3*b^3/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*f-3/8*e*b^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^2*g+3/8*e^2*b^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d*f+3/8*g/e*c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^4-1/3/e^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*d*g+1/4*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*b*f+1/4*g/e*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x-1/8*e*b^2/c*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*f+1/2*c*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*f+1/16*e^2*b^3/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d*g-3/4*e*b*c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^2*f+3/64*g*e/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b^3-1/4*e*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*f+1/8*b^2/c*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d*g+3/16*g/e*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d^2-1/4/e*d^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*b*g+1/2*c^2*d^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*f+1/8*g/e/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b-3/8*g*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*b*d+1/4*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d*g-3/16*g/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b^2*d-3/16*g*e^2/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*b^3*d+1/3/e*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*f-3/4*g*c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*b*d^3+3/128*g*e^3/c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*b^4+9/16*g*e/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*b^2*d^2+3/32*g*e/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*b^2+3/8*g/e*c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^2","B"
2187,1,2174,258,0.073000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^2,x)","\frac{3 b^{3} d \,e^{3} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{8 \left(-b \,e^{2}+2 c d e \right) \sqrt{c \,e^{2}}}-\frac{3 b^{3} e^{4} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{8 \left(-b \,e^{2}+2 c d e \right) \sqrt{c \,e^{2}}}-\frac{9 b^{2} c \,d^{2} e^{2} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{4 \left(-b \,e^{2}+2 c d e \right) \sqrt{c \,e^{2}}}+\frac{9 b^{2} c d \,e^{3} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{4 \left(-b \,e^{2}+2 c d e \right) \sqrt{c \,e^{2}}}+\frac{9 b \,c^{2} d^{3} e g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{2 \left(-b \,e^{2}+2 c d e \right) \sqrt{c \,e^{2}}}-\frac{9 b \,c^{2} d^{2} e^{2} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{2 \left(-b \,e^{2}+2 c d e \right) \sqrt{c \,e^{2}}}-\frac{3 c^{3} d^{4} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\left(-b \,e^{2}+2 c d e \right) \sqrt{c \,e^{2}}}+\frac{3 c^{3} d^{3} e f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\left(-b \,e^{2}+2 c d e \right) \sqrt{c \,e^{2}}}-\frac{b^{3} e^{2} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{16 \sqrt{c \,e^{2}}\, c}+\frac{3 b^{2} d e g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{8 \sqrt{c \,e^{2}}}-\frac{3 b c \,d^{2} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{4 \sqrt{c \,e^{2}}}+\frac{3 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b c d e g x}{2 \left(-b \,e^{2}+2 c d e \right)}-\frac{3 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b c \,e^{2} f x}{2 \left(-b \,e^{2}+2 c d e \right)}+\frac{c^{2} d^{3} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{2 \sqrt{c \,e^{2}}\, e}-\frac{3 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, c^{2} d^{2} g x}{-b \,e^{2}+2 c d e}+\frac{3 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, c^{2} d e f x}{-b \,e^{2}+2 c d e}+\frac{3 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b^{2} d e g}{4 \left(-b \,e^{2}+2 c d e \right)}-\frac{3 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b^{2} e^{2} f}{4 \left(-b \,e^{2}+2 c d e \right)}-\frac{3 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b c \,d^{2} g}{2 \left(-b \,e^{2}+2 c d e \right)}+\frac{3 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b c d e f}{2 \left(-b \,e^{2}+2 c d e \right)}-\frac{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b g x}{4}+\frac{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, c d g x}{2 e}-\frac{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b^{2} g}{8 c}+\frac{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b d g}{4 e}-\frac{2 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{3}{2}} c d g}{\left(-b \,e^{2}+2 c d e \right) e}+\frac{2 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{3}{2}} c f}{-b \,e^{2}+2 c d e}-\frac{2 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{5}{2}} d g}{\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)^{2} e^{3}}+\frac{2 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{5}{2}} f}{\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)^{2} e^{2}}+\frac{\left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{3}{2}} g}{3 e^{2}}"," ",0,"-3*c^3/(-b*e^2+2*c*d*e)*d^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*g-3/8*e^4/(-b*e^2+2*c*d*e)*b^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*f-3*c^2/(-b*e^2+2*c*d*e)*d^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*g+1/2*g/e*c*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x+1/2*g/e*c^2*d^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))-3/4*g*b*c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^2-3/2*c/(-b*e^2+2*c*d*e)*d^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*b*g-2/e*c/(-b*e^2+2*c*d*e)*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*d*g-2/e^3/(-b*e^2+2*c*d*e)/(x+d/e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)*d*g-1/16*g*e^2*b^3/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))+3/8*g*e*b^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d+1/4*g/e*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*b-9/2*e^2*c^2/(-b*e^2+2*c*d*e)*b/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^2*f-9/4*e^2*c/(-b*e^2+2*c*d*e)*b^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^2*g+9/4*e^3*c/(-b*e^2+2*c*d*e)*b^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d*f+9/2*e*c^2/(-b*e^2+2*c*d*e)*b/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^3*g+3/2*e*c/(-b*e^2+2*c*d*e)*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d*g-1/4*g*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x-1/8*g*b^2/c*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)+2*c/(-b*e^2+2*c*d*e)*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*f+1/3*g/e^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)+3/4*e/(-b*e^2+2*c*d*e)*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d*g-3/4*e^2/(-b*e^2+2*c*d*e)*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*f+2/e^2/(-b*e^2+2*c*d*e)/(x+d/e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)*f-3/2*e^2*c/(-b*e^2+2*c*d*e)*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*f+3/8*e^3/(-b*e^2+2*c*d*e)*b^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d*g+3*e*c^2/(-b*e^2+2*c*d*e)*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*f+3/2*e*c/(-b*e^2+2*c*d*e)*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*b*f+3*e*c^3/(-b*e^2+2*c*d*e)*d^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*f","B"
2188,1,2535,251,0.068000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^3,x)","-\frac{3 b^{3} c d \,e^{4} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{2 \left(-b \,e^{2}+2 c d e \right)^{2} \sqrt{c \,e^{2}}}+\frac{3 b^{3} c \,e^{5} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{2 \left(-b \,e^{2}+2 c d e \right)^{2} \sqrt{c \,e^{2}}}+\frac{9 b^{2} c^{2} d^{2} e^{3} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\left(-b \,e^{2}+2 c d e \right)^{2} \sqrt{c \,e^{2}}}-\frac{9 b^{2} c^{2} d \,e^{4} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\left(-b \,e^{2}+2 c d e \right)^{2} \sqrt{c \,e^{2}}}-\frac{18 b \,c^{3} d^{3} e^{2} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\left(-b \,e^{2}+2 c d e \right)^{2} \sqrt{c \,e^{2}}}+\frac{18 b \,c^{3} d^{2} e^{3} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\left(-b \,e^{2}+2 c d e \right)^{2} \sqrt{c \,e^{2}}}+\frac{12 c^{4} d^{4} e g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\left(-b \,e^{2}+2 c d e \right)^{2} \sqrt{c \,e^{2}}}-\frac{12 c^{4} d^{3} e^{2} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\left(-b \,e^{2}+2 c d e \right)^{2} \sqrt{c \,e^{2}}}-\frac{3 b^{3} e^{3} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{8 \left(-b \,e^{2}+2 c d e \right) \sqrt{c \,e^{2}}}+\frac{9 b^{2} c d \,e^{2} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{4 \left(-b \,e^{2}+2 c d e \right) \sqrt{c \,e^{2}}}-\frac{9 b \,c^{2} d^{2} e g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{2 \left(-b \,e^{2}+2 c d e \right) \sqrt{c \,e^{2}}}-\frac{6 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b \,c^{2} d \,e^{2} g x}{\left(-b \,e^{2}+2 c d e \right)^{2}}+\frac{6 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b \,c^{2} e^{3} f x}{\left(-b \,e^{2}+2 c d e \right)^{2}}+\frac{3 c^{3} d^{3} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\left(-b \,e^{2}+2 c d e \right) \sqrt{c \,e^{2}}}+\frac{12 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, c^{3} d^{2} e g x}{\left(-b \,e^{2}+2 c d e \right)^{2}}-\frac{12 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, c^{3} d \,e^{2} f x}{\left(-b \,e^{2}+2 c d e \right)^{2}}-\frac{3 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b^{2} c d \,e^{2} g}{\left(-b \,e^{2}+2 c d e \right)^{2}}+\frac{3 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b^{2} c \,e^{3} f}{\left(-b \,e^{2}+2 c d e \right)^{2}}+\frac{6 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b \,c^{2} d^{2} e g}{\left(-b \,e^{2}+2 c d e \right)^{2}}-\frac{6 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b \,c^{2} d \,e^{2} f}{\left(-b \,e^{2}+2 c d e \right)^{2}}-\frac{3 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b c e g x}{2 \left(-b \,e^{2}+2 c d e \right)}+\frac{3 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, c^{2} d g x}{-b \,e^{2}+2 c d e}-\frac{3 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b^{2} e g}{4 \left(-b \,e^{2}+2 c d e \right)}+\frac{3 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b c d g}{2 \left(-b \,e^{2}+2 c d e \right)}+\frac{8 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{3}{2}} c^{2} d g}{\left(-b \,e^{2}+2 c d e \right)^{2}}-\frac{8 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{3}{2}} c^{2} e f}{\left(-b \,e^{2}+2 c d e \right)^{2}}+\frac{8 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{5}{2}} c d g}{\left(-b \,e^{2}+2 c d e \right)^{2} \left(x +\frac{d}{e}\right)^{2} e^{2}}-\frac{8 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{5}{2}} c f}{\left(-b \,e^{2}+2 c d e \right)^{2} \left(x +\frac{d}{e}\right)^{2} e}+\frac{2 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{3}{2}} c g}{\left(-b \,e^{2}+2 c d e \right) e}+\frac{2 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{5}{2}} d g}{\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)^{3} e^{4}}-\frac{2 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{5}{2}} f}{\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)^{3} e^{3}}+\frac{2 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{5}{2}} g}{\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)^{2} e^{3}}"," ",0,"-9*e^4*c^2/(-b*e^2+2*c*d*e)^2*b^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d*f-18*e^2*c^3/(-b*e^2+2*c*d*e)^2*b/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^3*g-6*e^2*c^2/(-b*e^2+2*c*d*e)^2*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d*g+18*e^3*c^3/(-b*e^2+2*c*d*e)^2*b/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^2*f-3/2*e^4*c/(-b*e^2+2*c*d*e)^2*b^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d*g+9*e^3*c^2/(-b*e^2+2*c*d*e)^2*b^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^2*g-9/2*g*e*c^2/(-b*e^2+2*c*d*e)*b/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^2+9/4*g*e^2*c/(-b*e^2+2*c*d*e)*b^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d+3*g*c^3/(-b*e^2+2*c*d*e)*d^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))+3*g*c^2/(-b*e^2+2*c*d*e)*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x+3/2*g*c/(-b*e^2+2*c*d*e)*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*b-3/8*g*e^3/(-b*e^2+2*c*d*e)*b^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))+2/e^4/(-b*e^2+2*c*d*e)/(x+d/e)^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)*d*g-8/e*c/(-b*e^2+2*c*d*e)^2/(x+d/e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)*f+3*e^3*c/(-b*e^2+2*c*d*e)^2*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*f+2*g/e^3/(-b*e^2+2*c*d*e)/(x+d/e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)+2*g/e*c/(-b*e^2+2*c*d*e)*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)-3/4*g*e/(-b*e^2+2*c*d*e)*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)-2/e^3/(-b*e^2+2*c*d*e)/(x+d/e)^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)*f+8*c^2/(-b*e^2+2*c*d*e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*d*g-8*e*c^2/(-b*e^2+2*c*d*e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*f+6*e*c^2/(-b*e^2+2*c*d*e)^2*d^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*b*g-6*e^2*c^2/(-b*e^2+2*c*d*e)^2*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*b*f+12*e*c^4/(-b*e^2+2*c*d*e)^2*d^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*g-12*e^2*c^4/(-b*e^2+2*c*d*e)^2*d^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*f+12*e*c^3/(-b*e^2+2*c*d*e)^2*d^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*g-3/2*g*e*c/(-b*e^2+2*c*d*e)*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x-12*e^2*c^3/(-b*e^2+2*c*d*e)^2*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*f+8/e^2*c/(-b*e^2+2*c*d*e)^2/(x+d/e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)*d*g+6*e^3*c^2/(-b*e^2+2*c*d*e)^2*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*f-3*e^2*c/(-b*e^2+2*c*d*e)^2*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d*g+3/2*e^5*c/(-b*e^2+2*c*d*e)^2*b^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*f","B"
2189,1,2773,256,0.069000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^4,x)","\text{Expression too large to display}"," ",0,"-12*e^4*c^4/(-b*e^2+2*c*d*e)^3*b/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^2*f+4*e^3*c^3/(-b*e^2+2*c*d*e)^3*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d*g+12*e^3*c^4/(-b*e^2+2*c*d*e)^3*b/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^3*g+16/3*e^2*c^3/(-b*e^2+2*c*d*e)^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*f-2*g/e^4/(-b*e^2+2*c*d*e)/(x+d/e)^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)-8*g*c^2/(-b*e^2+2*c*d*e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)-2/3/e^4/(-b*e^2+2*c*d*e)/(x+d/e)^4*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)*f+16/3*c^2/(-b*e^2+2*c*d*e)^3/(x+d/e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)*f-9*g*e^3*c^2/(-b*e^2+2*c*d*e)^2*b^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d+18*g*e^2*c^3/(-b*e^2+2*c*d*e)^2*b/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^2+6*e^5*c^3/(-b*e^2+2*c*d*e)^3*b^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d*f+e^5*c^2/(-b*e^2+2*c*d*e)^3*b^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d*g-6*e^4*c^3/(-b*e^2+2*c*d*e)^3*b^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^2*g-8*g/e^2*c/(-b*e^2+2*c*d*e)^2/(x+d/e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)+3*g*e^2*c/(-b*e^2+2*c*d*e)^2*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)+2/3/e^5/(-b*e^2+2*c*d*e)/(x+d/e)^4*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)*d*g+4/3/e^2*c/(-b*e^2+2*c*d*e)^2/(x+d/e)^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)*f-16/3*e*c^3/(-b*e^2+2*c*d*e)^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*d*g-2*e^4*c^2/(-b*e^2+2*c*d*e)^3*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*f+8*e^3*c^5/(-b*e^2+2*c*d*e)^3*d^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*f-12*g*e*c^4/(-b*e^2+2*c*d*e)^2*d^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))-12*g*e*c^3/(-b*e^2+2*c*d*e)^2*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x-6*g*e*c^2/(-b*e^2+2*c*d*e)^2*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*b+2*e^3*c^2/(-b*e^2+2*c*d*e)^3*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d*g-e^6*c^2/(-b*e^2+2*c*d*e)^3*b^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*f-8*e^2*c^4/(-b*e^2+2*c*d*e)^3*d^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*g+8*e^3*c^4/(-b*e^2+2*c*d*e)^3*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*f-4*e^2*c^3/(-b*e^2+2*c*d*e)^3*d^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*b*g+4*e^3*c^3/(-b*e^2+2*c*d*e)^3*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*b*f-8*e^2*c^5/(-b*e^2+2*c*d*e)^3*d^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*g+3/2*g*e^4*c/(-b*e^2+2*c*d*e)^2*b^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))-4/3/e^3*c/(-b*e^2+2*c*d*e)^2/(x+d/e)^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)*d*g-16/3/e*c^2/(-b*e^2+2*c*d*e)^3/(x+d/e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)*d*g-4*e^4*c^3/(-b*e^2+2*c*d*e)^3*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*f+6*g*e^2*c^2/(-b*e^2+2*c*d*e)^2*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x","B"
2190,1,1023,196,0.069000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^5,x)","-\frac{b^{3} c^{2} e^{5} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\left(-b \,e^{2}+2 c d e \right)^{3} \sqrt{c \,e^{2}}}+\frac{6 b^{2} c^{3} d \,e^{4} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\left(-b \,e^{2}+2 c d e \right)^{3} \sqrt{c \,e^{2}}}-\frac{12 b \,c^{4} d^{2} e^{3} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\left(-b \,e^{2}+2 c d e \right)^{3} \sqrt{c \,e^{2}}}+\frac{8 c^{5} d^{3} e^{2} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\left(-b \,e^{2}+2 c d e \right)^{3} \sqrt{c \,e^{2}}}-\frac{4 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b \,c^{3} e^{3} g x}{\left(-b \,e^{2}+2 c d e \right)^{3}}+\frac{8 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, c^{4} d \,e^{2} g x}{\left(-b \,e^{2}+2 c d e \right)^{3}}-\frac{2 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b^{2} c^{2} e^{3} g}{\left(-b \,e^{2}+2 c d e \right)^{3}}+\frac{4 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b \,c^{3} d \,e^{2} g}{\left(-b \,e^{2}+2 c d e \right)^{3}}+\frac{16 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{3}{2}} c^{3} e g}{3 \left(-b \,e^{2}+2 c d e \right)^{3}}+\frac{16 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{5}{2}} c^{2} g}{3 \left(-b \,e^{2}+2 c d e \right)^{3} \left(x +\frac{d}{e}\right)^{2} e}+\frac{4 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{5}{2}} c g}{3 \left(-b \,e^{2}+2 c d e \right)^{2} \left(x +\frac{d}{e}\right)^{3} e^{3}}-\frac{2 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{5}{2}} g}{3 \left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)^{4} e^{5}}-\frac{2 \left(-d g +e f \right) \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{5}{2}}}{5 \left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)^{5} e^{6}}"," ",0,"-2/5*(-d*g+e*f)/e^6/(-b*e^2+2*c*d*e)/(x+d/e)^5*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)-2/3*g/e^5/(-b*e^2+2*c*d*e)/(x+d/e)^4*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)+4/3*g/e^3*c/(-b*e^2+2*c*d*e)^2/(x+d/e)^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)+16/3*g/e*c^2/(-b*e^2+2*c*d*e)^3/(x+d/e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)+16/3*g*e*c^3/(-b*e^2+2*c*d*e)^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)-4*g*e^3*c^3/(-b*e^2+2*c*d*e)^3*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x-2*g*e^3*c^2/(-b*e^2+2*c*d*e)^3*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)-g*e^5*c^2/(-b*e^2+2*c*d*e)^3*b^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))+6*g*e^4*c^3/(-b*e^2+2*c*d*e)^3*b^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d-12*g*e^3*c^4/(-b*e^2+2*c*d*e)^3*b/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^2+8*g*e^2*c^4/(-b*e^2+2*c*d*e)^3*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x+4*g*e^2*c^3/(-b*e^2+2*c*d*e)^3*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*b+8*g*e^2*c^5/(-b*e^2+2*c*d*e)^3*d^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))","B"
2191,1,128,130,0.057000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^6,x)","-\frac{2 \left(c e x +b e -c d \right) \left(7 b \,e^{2} g x -12 c d e g x -2 c \,e^{2} f x +2 b d e g +5 b \,e^{2} f -2 c \,d^{2} g -12 c d e f \right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}}}{35 \left(e x +d \right)^{5} \left(b^{2} e^{2}-4 b c d e +4 c^{2} d^{2}\right) e^{2}}"," ",0,"-2/35*(c*e*x+b*e-c*d)*(7*b*e^2*g*x-12*c*d*e*g*x-2*c*e^2*f*x+2*b*d*e*g+5*b*e^2*f-2*c*d^2*g-12*c*d*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^5/e^2/(b^2*e^2-4*b*c*d*e+4*c^2*d^2)","A"
2192,1,236,198,0.054000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^7,x)","-\frac{2 \left(c e x +b e -c d \right) \left(-18 b c \,e^{3} g \,x^{2}+28 c^{2} d \,e^{2} g \,x^{2}+8 c^{2} e^{3} f \,x^{2}+45 b^{2} e^{3} g x -196 b c d \,e^{2} g x -20 b c \,e^{3} f x +196 c^{2} d^{2} e g x +56 c^{2} d \,e^{2} f x +10 b^{2} d \,e^{2} g +35 b^{2} e^{3} f -38 b c \,d^{2} e g -160 b c d \,e^{2} f +28 c^{2} d^{3} g +188 c^{2} d^{2} e f \right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}}}{315 \left(e x +d \right)^{6} \left(b^{3} e^{3}-6 b^{2} c d \,e^{2}+12 b \,c^{2} d^{2} e -8 c^{3} d^{3}\right) e^{2}}"," ",0,"-2/315*(c*e*x+b*e-c*d)*(-18*b*c*e^3*g*x^2+28*c^2*d*e^2*g*x^2+8*c^2*e^3*f*x^2+45*b^2*e^3*g*x-196*b*c*d*e^2*g*x-20*b*c*e^3*f*x+196*c^2*d^2*e*g*x+56*c^2*d*e^2*f*x+10*b^2*d*e^2*g+35*b^2*e^3*f-38*b*c*d^2*e*g-160*b*c*d*e^2*f+28*c^2*d^3*g+188*c^2*d^2*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^6/(b^3*e^3-6*b^2*c*d*e^2+12*b*c^2*d^2*e-8*c^3*d^3)/e^2","A"
2193,1,382,269,0.052000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^8,x)","-\frac{2 \left(c e x +b e -c d \right) \left(88 b \,c^{2} e^{4} g \,x^{3}-128 c^{3} d \,e^{3} g \,x^{3}-48 c^{3} e^{4} f \,x^{3}-220 b^{2} c \,e^{4} g \,x^{2}+1024 b \,c^{2} d \,e^{3} g \,x^{2}+120 b \,c^{2} e^{4} f \,x^{2}-1024 c^{3} d^{2} e^{2} g \,x^{2}-384 c^{3} d \,e^{3} f \,x^{2}+385 b^{3} e^{4} g x -2540 b^{2} c d \,e^{3} g x -210 b^{2} c \,e^{4} f x +5564 b \,c^{2} d^{2} e^{2} g x +1080 b \,c^{2} d \,e^{3} f x -3904 c^{3} d^{3} e g x -1464 c^{3} d^{2} e^{2} f x +70 b^{3} d \,e^{3} g +315 b^{3} e^{4} f -430 b^{2} c \,d^{2} e^{2} g -2100 b^{2} c d \,e^{3} f +848 b \,c^{2} d^{3} e g +4740 b \,c^{2} d^{2} e^{2} f -488 c^{3} d^{4} g -3648 c^{3} d^{3} e f \right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}}}{3465 \left(e x +d \right)^{7} \left(b^{4} e^{4}-8 b^{3} c d \,e^{3}+24 b^{2} c^{2} d^{2} e^{2}-32 b \,c^{3} d^{3} e +16 c^{4} d^{4}\right) e^{2}}"," ",0,"-2/3465*(c*e*x+b*e-c*d)*(88*b*c^2*e^4*g*x^3-128*c^3*d*e^3*g*x^3-48*c^3*e^4*f*x^3-220*b^2*c*e^4*g*x^2+1024*b*c^2*d*e^3*g*x^2+120*b*c^2*e^4*f*x^2-1024*c^3*d^2*e^2*g*x^2-384*c^3*d*e^3*f*x^2+385*b^3*e^4*g*x-2540*b^2*c*d*e^3*g*x-210*b^2*c*e^4*f*x+5564*b*c^2*d^2*e^2*g*x+1080*b*c^2*d*e^3*f*x-3904*c^3*d^3*e*g*x-1464*c^3*d^2*e^2*f*x+70*b^3*d*e^3*g+315*b^3*e^4*f-430*b^2*c*d^2*e^2*g-2100*b^2*c*d*e^3*f+848*b*c^2*d^3*e*g+4740*b*c^2*d^2*e^2*f-488*c^3*d^4*g-3648*c^3*d^3*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^7/e^2/(b^4*e^4-8*b^3*c*d*e^3+24*b^2*c^2*d^2*e^2-32*b*c^3*d^3*e+16*c^4*d^4)","A"
2194,1,564,340,0.057000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^9,x)","-\frac{2 \left(c e x +b e -c d \right) \left(-208 b \,c^{3} e^{5} g \,x^{4}+288 c^{4} d \,e^{4} g \,x^{4}+128 c^{4} e^{5} f \,x^{4}+520 b^{2} c^{2} e^{5} g \,x^{3}-2592 b \,c^{3} d \,e^{4} g \,x^{3}-320 b \,c^{3} e^{5} f \,x^{3}+2592 c^{4} d^{2} e^{3} g \,x^{3}+1152 c^{4} d \,e^{4} f \,x^{3}-910 b^{3} c \,e^{5} g \,x^{2}+6460 b^{2} c^{2} d \,e^{4} g \,x^{2}+560 b^{2} c^{2} e^{5} f \,x^{2}-15208 b \,c^{3} d^{2} e^{3} g \,x^{2}-3200 b \,c^{3} d \,e^{4} f \,x^{2}+11088 c^{4} d^{3} e^{2} g \,x^{2}+4928 c^{4} d^{2} e^{3} f \,x^{2}+1365 b^{4} e^{5} g x -11900 b^{3} c d \,e^{4} g x -840 b^{3} c \,e^{5} f x +39080 b^{2} c^{2} d^{2} e^{3} g x +6160 b^{2} c^{2} d \,e^{4} f x -57072 b \,c^{3} d^{3} e^{2} g x -15520 b \,c^{3} d^{2} e^{3} f x +30672 c^{4} d^{4} e g x +13632 c^{4} d^{3} e^{2} f x +210 b^{4} d \,e^{4} g +1155 b^{4} e^{5} f -1750 b^{3} c \,d^{2} e^{3} g -10080 b^{3} c d \,e^{4} f +5420 b^{2} c^{2} d^{3} e^{2} g +33320 b^{2} c^{2} d^{2} e^{3} f -7288 b \,c^{3} d^{4} e g -49600 b \,c^{3} d^{3} e^{2} f +3408 c^{4} d^{5} g +28208 c^{4} d^{4} e f \right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}}}{15015 \left(e x +d \right)^{8} \left(b^{5} e^{5}-10 b^{4} c d \,e^{4}+40 b^{3} c^{2} d^{2} e^{3}-80 b^{2} c^{3} d^{3} e^{2}+80 b \,c^{4} d^{4} e -32 c^{5} d^{5}\right) e^{2}}"," ",0,"-2/15015*(c*e*x+b*e-c*d)*(-208*b*c^3*e^5*g*x^4+288*c^4*d*e^4*g*x^4+128*c^4*e^5*f*x^4+520*b^2*c^2*e^5*g*x^3-2592*b*c^3*d*e^4*g*x^3-320*b*c^3*e^5*f*x^3+2592*c^4*d^2*e^3*g*x^3+1152*c^4*d*e^4*f*x^3-910*b^3*c*e^5*g*x^2+6460*b^2*c^2*d*e^4*g*x^2+560*b^2*c^2*e^5*f*x^2-15208*b*c^3*d^2*e^3*g*x^2-3200*b*c^3*d*e^4*f*x^2+11088*c^4*d^3*e^2*g*x^2+4928*c^4*d^2*e^3*f*x^2+1365*b^4*e^5*g*x-11900*b^3*c*d*e^4*g*x-840*b^3*c*e^5*f*x+39080*b^2*c^2*d^2*e^3*g*x+6160*b^2*c^2*d*e^4*f*x-57072*b*c^3*d^3*e^2*g*x-15520*b*c^3*d^2*e^3*f*x+30672*c^4*d^4*e*g*x+13632*c^4*d^3*e^2*f*x+210*b^4*d*e^4*g+1155*b^4*e^5*f-1750*b^3*c*d^2*e^3*g-10080*b^3*c*d*e^4*f+5420*b^2*c^2*d^3*e^2*g+33320*b^2*c^2*d^2*e^3*f-7288*b*c^3*d^4*e*g-49600*b*c^3*d^3*e^2*f+3408*c^4*d^5*g+28208*c^4*d^4*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^8/e^2/(b^5*e^5-10*b^4*c*d*e^4+40*b^3*c^2*d^2*e^3-80*b^2*c^3*d^3*e^2+80*b*c^4*d^4*e-32*c^5*d^5)","A"
2195,1,5287,524,0.115000," ","int((e*x+d)^3*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
2196,1,4332,453,0.069000," ","int((e*x+d)^2*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","\text{output too large to display}"," ",0,"5/192/e*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b*d^5*g+3/128*b^3/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*e^2*f-1/9*g*x^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(7/2)/c-11/224*g*b^2/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(7/2)-115/512*g*b^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^6-1/8*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(7/2)/c*f+9/112*b/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(7/2)*f+3/16*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*d^2*f+15/128*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b*d^4*f+15/64*c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*d^4*f+3/32/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*b*d^2*f+45/128*c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^6*f+45/256*c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d^6*f+45/128*c^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^8*f-2/7*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(7/2)/c/e*d*f-135/256*e*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b^2*d^5*f+15/2048*b^5/c^4*e^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*f+45/16384*b^7/c^5*e^6*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*f+1/24/e*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*d^3*g-11/768*e^2*g*b^4/c^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)-11/63/e^2*g/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(7/2)*d^2-55/12288*e^4*g*b^6/c^5*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)-55/32768*e^6*g*b^8/c^6*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)-95/768*g*b^2/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^4-5/64*g*b^2/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*d^2-95/384*g*b*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*d^4+11/144*g*b/c^2*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(7/2)+945/512*e^3*g*b^4/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^5-2205/2048*e^4*g*b^5/c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^4-885/4096*e^4*g*b^5/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^2+115/1536*e^3*g*b^4/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*d+225/16384*e^7*g*b^8/c^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d+625/1024*e^3*g*b^4/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^3-1025/1024*e^2*g*b^3/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^4+105/256*e^5*g*b^6/c^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^3-405/4096*e^6*g*b^7/c^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^2+85/2048*e^5*g*b^6/c^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d+35/96*e*g*b^2/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*d^3+1/8*e*g*b^2/c^2*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*d-185/768*e^2*g*b^3/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*d^2+45/32*e*g*b^2*c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^7-55/16384*e^6*g*b^7/c^5*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x+625/2048*e^3*g*b^5/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^3+5/64/e*c^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^9*g+5/96/e*c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*d^5*g+675/4096*b^5/c^3*e^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2*f-5/32*g*b/c*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*d^2-135/256*g*b*c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^8-115/256*g*b*c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^6-525/256*e^2*g*b^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^6-55/65536*e^8*g*b^9/c^6/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))+97/504/e*g/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(7/2)*b*d-11/384*e^2*g*b^3/c^3*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)-1025/2048*e^2*g*b^4/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^4-185/1536*e^2*g*b^4/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^2+15/16*e*g*b^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^5+15/32*e*g*b^3/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^5+35/192*e*g*b^3/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^3+1/16*e*g*b^3/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*d+85/4096*e^5*g*b^7/c^5*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d-885/8192*e^4*g*b^6/c^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2+115/3072*e^3*g*b^5/c^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d-55/6144*e^4*g*b^5/c^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x-15/32*e*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*b*d^3*f-15/64*e/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b^2*d^3*f-3/32*e/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*b^2*d*f-315/128*b^3*e^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^5*f-1/4*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(7/2)/c/e*d*g+3/64*b^2/c^2*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*e^2*f+675/1024*b^3/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^4*e^2*f+45/256*b^3/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^2*e^2*f-135/4096*b^6/c^4*e^5*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d*f+1/48/e/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*b*d^3*g+5/64/e*c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^7*g-15/256*b^4/c^3*e^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d*f+15/1024*b^4/c^3*e^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*f+45/8192*b^6/c^4*e^6*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*f+675/512*b^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^4*e^2*f-225/512*b^4/c^2*e^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^3*f+45/32768*b^8/c^5*e^8/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*f+5/128/e*c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d^7*g+675/2048*b^4/c^2*e^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^2*f-315/512*b^5/c^2*e^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^3*f-45/32*e*c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*b*d^7*f-135/2048*b^5/c^3*e^5*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d*f+315/128*b^2*c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^6*e^2*f+45/128*b^2/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*d^2*e^2*f+315/2048*b^6/c^3*e^6/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^2*f+1575/1024*b^4/c*e^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^4*f-225/256*b^3/c*e^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^3*f-15/128*b^3/c^2*e^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*d*f-45/2048*b^7/c^4*e^7/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d*f-3/16*e/c*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*b*d*f-135/128*e*c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*b*d^5*f","B"
2197,1,3472,345,0.069000," ","int((e*x+d)*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","\text{output too large to display}"," ",0,"9/112/e*g*b/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(7/2)+15/2048*e^3*g*b^5/c^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)+5/48*d^3*f*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b+1/6*d*f*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)-1/7*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(7/2)/c/e*f-35/256*g*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b^2*d^5-1/24*b^2/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*e*f-5/96*g/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*b^2*d-5/32*g*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*d^3*b+45/16384*e^5*g*b^7/c^5*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)+5/384/e*g*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b*d^4+1/48/e*g*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*d^2-1/8/e*g*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(7/2)/c+5/16*d^7*f*c^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))+5/24*d^3*f*c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x+5/16*d^5*f*c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x+1/12*d*f/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*b+5/32*d^5*f*c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b+3/128*e*g*b^3/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)-5/64*g/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b^2*d^3-1/7*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(7/2)/c/e^2*d*g-25/64*b^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^4*e*f-5/384*b^4/c^3*e^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*f-5/1024*b^6/c^4*e^5*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*f-25/32*b*c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^4*e*f-25/64*b^3/c*e^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^2*f+25/256*b^4/c^2*e^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d*f+105/64*b^2*c*e^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^5*f+5/32*b^2/c*e^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*d*f-35/32*b*c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^6*e*f-35/384*e^2*g*b^3/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*d+875/1024*e^3*g*b^4/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^4-105/512*b^5/c^2*e^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^2*f+35/1024*b^6/c^3*e^6/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d*f+175/256*b^4/c*e^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^3*f-125/256*e^2*g*b^3/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^3+245/2048*e^5*g*b^6/c^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^2-5/256*e^6*g*b^7/c^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d+475/2048*e^3*g*b^4/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^2+25/128*e*g*b^2/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*d^2+105/128*e*g*b^2*c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^6-105/256*e^4*g*b^5/c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^3-115/2048*e^4*g*b^5/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d+275/512*e*g*b^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^4+1/96/e*g/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*b*d^2+5/128/e*g*c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^6+275/1024*e*g*b^3/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^4+25/256*e*g*b^3/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^2+3/64*e*g*b^2/c^2*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)+15/1024*e^3*g*b^4/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x+5/256/e*g*c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d^6+5/128/e*g*c^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^8+5/192/e*g*c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*d^4+45/8192*e^5*g*b^6/c^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x-25/128*b^4/c^2*e^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2*f-35/32*e^2*g*b^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^5-35/768*e^2*g*b^4/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d-1/12*b/c*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*e*f-5/48*g/c*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*b*d-5/16*g*c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*b*d^7-35/128*g*c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^5*b+475/4096*e^3*g*b^5/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2-125/512*e^2*g*b^4/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^3+45/32768*e^7*g*b^8/c^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))-115/4096*e^4*g*b^6/c^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d+25/64*b^3/c*e^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^3*f-5/2048*b^7/c^4*e^7/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*f-5/192*b^3/c^2*e^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*f-5/16*b*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*d^2*e*f+5/64*b^3/c^2*e^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d*f-5/512*b^5/c^3*e^5*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*f+25/512*b^5/c^3*e^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d*f-175/128*b^3*e^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^4*f+25/32*b^2*e^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^3*f-5/32*b^2/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^2*e*f","B"
2198,1,3533,320,0.061000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d),x)","\text{output too large to display}"," ",0,"-1/8/e*d^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*b*g-1/16*e*b^2/c*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*f-3/128*e^3*b^4/c^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*f+1/4*c*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*x*f+1/8*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*x*d*g+1/16*b^2/c*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*d*g+3/8*c^3*d^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*f-5/48*g/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b^2*d-5/24*g*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*b*d+5/192*g*e/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b^3+5/512*g*e^3/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b^5+9/32*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d^3*g+1/8*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*b*f+1/6*g/e*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*x-5/16*g*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b^2*d^3-1/5/e^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)*d*g-1/8*e*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*x*f+3/8*c^2*d^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*f+3/16*c*d^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*b*f+1/12*g/e/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)*b+5/48*g/e*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b*d^2+5/24*g/e*c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*d^2+5/16*g/e*c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^4+15/64*g*e/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b^3*d^2-25/32*g*e^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*b^3*d^3-5/64*g*e^2/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b^4*d+15/32*e^2*b^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^3*g-15/256*g*e^4/c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*b^5*d-5/32*g*e^2/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*b^3*d-15/128*e^3*b^4/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^2*g+1/5/e*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)*f-9/32*e*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d^2*f-5/8*g*c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*b*d^3+5/96*g*e/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*b^2+75/64*g*e*c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*b^2*d^4+75/256*g*e^3/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*b^4*d^2+5/256*g*e^3/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*b^4-9/64*e*b^3/c*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d^2*g+9/64*e^2*b^3/c*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d*f-3/256*e^5*b^5/c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*f-15/16*g*c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*b*d^5+15/32*g*e*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*b^2*d^2+9/16*b*c*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d^3*g-3/16/e*c*d^4*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*b*g-3/8/e*c^3*d^6/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*g-15/32*e^3*b^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^2*f-3/8/e*c^2*d^4*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*g+15/16*b*c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^5*g+5/32*g/e*c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d^4+5/16*g/e*c^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^6+5/1024*g*e^5/c^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*b^6-3/64*e^3*b^3/c*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*f-9/32*e*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d^2*g+9/32*e^2*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d*f+3/128*e^2*b^4/c^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d*g-1/4/e*c*d^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*x*g-15/16*e*b^2*c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^4*g-9/16*e*b*c*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d^2*f+3/256*e^4*b^5/c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d*g-15/16*e*b*c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^4*f+15/16*e^2*b^2*c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^3*f+3/64*e^2*b^3/c*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d*g+15/128*e^4*b^4/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d*f","B"
2199,1,4215,328,0.075000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^2,x)","\text{output too large to display}"," ",0,"5/128*e^5/c/(-b*e^2+2*c*d*e)*b^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d*g-1/16*g*b^2/c*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)-9/32*g*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d^2-1/8*g*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*x+2/3*c/(-b*e^2+2*c*d*e)*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)*f-5/24*e^2/(-b*e^2+2*c*d*e)*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*f+25/8*e^3*c^2/(-b*e^2+2*c*d*e)*b^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^3*f-15/8*e^2*c^2/(-b*e^2+2*c*d*e)*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d^2*f+15/8*e*c^2/(-b*e^2+2*c*d*e)*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d^3*g+15/16*e^3*c/(-b*e^2+2*c*d*e)*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d*f+5/12*e*c/(-b*e^2+2*c*d*e)*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*x*d*g+25/8*e*c^3/(-b*e^2+2*c*d*e)*b/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^5*g+25/16*e^3*c/(-b*e^2+2*c*d*e)*b^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^3*g-25/8*e^2*c^3/(-b*e^2+2*c*d*e)*b/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^4*f-25/16*e^4*c/(-b*e^2+2*c*d*e)*b^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^2*f-25/8*e^2*c^2/(-b*e^2+2*c*d*e)*b^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^4*g-15/16*e^2*c/(-b*e^2+2*c*d*e)*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d^2*g-15/32*e^2/(-b*e^2+2*c*d*e)*b^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d^2*g+15/32*e^3/(-b*e^2+2*c*d*e)*b^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d*f-15/16*g*b*c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^4-9/16*g*b*c*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d^2+9/64*g*e*b^3/c*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d-3/256*g*e^4*b^5/c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))-15/32*g*e^2*b^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^2-3/64*g*e^2*b^3/c*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x+9/32*g*e*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d+1/4*g/e*c*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*x+3/8*g/e*c^2*d^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x+5/24*e/(-b*e^2+2*c*d*e)*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*d*g-5/64*e^4/c/(-b*e^2+2*c*d*e)*b^4*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*f-5/32*e^4/(-b*e^2+2*c*d*e)*b^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*f+2/3/e^2/(-b*e^2+2*c*d*e)/(x+d/e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(7/2)*f+1/5*g/e^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)+3/16*g/e*c*d^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*b-3/128*g*e^2*b^4/c^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)+1/8*g/e*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*b+3/8*g/e*c^3*d^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))-2/3/e^3/(-b*e^2+2*c*d*e)/(x+d/e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(7/2)*d*g-5/4*c^4/(-b*e^2+2*c*d*e)*d^6/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*g-2/3/e*c/(-b*e^2+2*c*d*e)*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)*d*g-5/8*c^2/(-b*e^2+2*c*d*e)*d^4*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*b*g-5/6*c^2/(-b*e^2+2*c*d*e)*d^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*x*g-5/4*c^3/(-b*e^2+2*c*d*e)*d^4*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*g-5/12*c/(-b*e^2+2*c*d*e)*d^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*b*g+15/16*e*c/(-b*e^2+2*c*d*e)*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d^3*g+5/4*e*c^3/(-b*e^2+2*c*d*e)*d^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*f+5/12*e*c/(-b*e^2+2*c*d*e)*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*b*f+5/4*e*c^4/(-b*e^2+2*c*d*e)*d^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*f+25/64*e^5/(-b*e^2+2*c*d*e)*b^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d*f-5/128*e^6/c/(-b*e^2+2*c*d*e)*b^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*f-25/64*e^4/(-b*e^2+2*c*d*e)*b^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^2*g+15/128*g*e^3*b^4/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d-5/12*e^2*c/(-b*e^2+2*c*d*e)*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*x*f+5/8*e*c^2/(-b*e^2+2*c*d*e)*d^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*b*f+5/6*e*c^2/(-b*e^2+2*c*d*e)*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*x*f-15/16*e^2*c/(-b*e^2+2*c*d*e)*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d^2*f+5/64*e^3/c/(-b*e^2+2*c*d*e)*b^4*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d*g+5/32*e^3/(-b*e^2+2*c*d*e)*b^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d*g+15/16*g*e*b^2*c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^3","B"
2200,1,4726,330,0.074000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^3,x)","\text{output too large to display}"," ",0,"2/3*g/e^3/(-b*e^2+2*c*d*e)/(x+d/e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(7/2)+2/3*g/e*c/(-b*e^2+2*c*d*e)*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)-15*e^3*c^3/(-b*e^2+2*c*d*e)^2*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d^2*f-25*e^3*c^4/(-b*e^2+2*c*d*e)^2*b/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^4*f-25*e^3*c^3/(-b*e^2+2*c*d*e)^2*b^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^4*g+10/3*e^2*c^2/(-b*e^2+2*c*d*e)^2*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*x*d*g+25*e^4*c^3/(-b*e^2+2*c*d*e)^2*b^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^3*f-25/8*e^5*c/(-b*e^2+2*c*d*e)^2*b^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^2*g+25/2*e^4*c^2/(-b*e^2+2*c*d*e)^2*b^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^3*g+15/2*e^4*c^2/(-b*e^2+2*c*d*e)^2*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d*f+25/8*e^6*c/(-b*e^2+2*c*d*e)^2*b^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d*f+25*e^2*c^4/(-b*e^2+2*c*d*e)^2*b/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^5*g-25/8*g*e*c^3/(-b*e^2+2*c*d*e)*b/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^4+5/4*e^4*c/(-b*e^2+2*c*d*e)^2*b^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d*g-15/2*e^3*c^2/(-b*e^2+2*c*d*e)^2*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d^2*g+25/8*g*e^2*c^2/(-b*e^2+2*c*d*e)*b^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^3+15/16*g*e^2*c/(-b*e^2+2*c*d*e)*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d-25/16*g*e^3*c/(-b*e^2+2*c*d*e)*b^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^2+15*e^2*c^3/(-b*e^2+2*c*d*e)^2*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d^3*g-25/2*e^5*c^2/(-b*e^2+2*c*d*e)^2*b^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^2*f-15/8*g*e*c^2/(-b*e^2+2*c*d*e)*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d^2-16/3*c^2/(-b*e^2+2*c*d*e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)*d*g+5/4*g*c^4/(-b*e^2+2*c*d*e)*d^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))-5/24*g*e/(-b*e^2+2*c*d*e)*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)+16/3*e*c^2/(-b*e^2+2*c*d*e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)*f-5/8*e^5/(-b*e^2+2*c*d*e)^2*b^4*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*f+2/e^3/(-b*e^2+2*c*d*e)/(x+d/e)^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(7/2)*f+5/12*g*c/(-b*e^2+2*c*d*e)*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*b-5/64*g*e^3/c/(-b*e^2+2*c*d*e)*b^4*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)+5/6*g*c^2/(-b*e^2+2*c*d*e)*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*x+5/4*g*c^3/(-b*e^2+2*c*d*e)*d^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x+5/8*g*c^2/(-b*e^2+2*c*d*e)*d^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*b+15/4*e^4*c/(-b*e^2+2*c*d*e)^2*b^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d*f+5/16*e^6/(-b*e^2+2*c*d*e)^2*b^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d*g-16/3/e^2*c/(-b*e^2+2*c*d*e)^2/(x+d/e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(7/2)*d*g+15/2*e^2*c^2/(-b*e^2+2*c*d*e)^2*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d^3*g+10*e^2*c^5/(-b*e^2+2*c*d*e)^2*d^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*f-10/3*e^3*c^2/(-b*e^2+2*c*d*e)^2*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*x*f+5/3*e^2*c/(-b*e^2+2*c*d*e)^2*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*d*g-20/3*e*c^3/(-b*e^2+2*c*d*e)^2*d^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*x*g+20/3*e^2*c^3/(-b*e^2+2*c*d*e)^2*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*x*f-10/3*e*c^2/(-b*e^2+2*c*d*e)^2*d^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*b*g+10/3*e^2*c^2/(-b*e^2+2*c*d*e)^2*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*b*f-10*e*c^4/(-b*e^2+2*c*d*e)^2*d^4*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*g+10*e^2*c^4/(-b*e^2+2*c*d*e)^2*d^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*f-5*e*c^3/(-b*e^2+2*c*d*e)^2*d^4*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*b*g+5*e^2*c^3/(-b*e^2+2*c*d*e)^2*d^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*b*f-10*e*c^5/(-b*e^2+2*c*d*e)^2*d^6/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*g-5/4*e^5*c/(-b*e^2+2*c*d*e)^2*b^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*f-15/4*e^3*c/(-b*e^2+2*c*d*e)^2*b^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d^2*g+25/64*g*e^4/(-b*e^2+2*c*d*e)*b^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d-15/16*g*e*c/(-b*e^2+2*c*d*e)*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d^2-5/12*g*e*c/(-b*e^2+2*c*d*e)*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*x-5/128*g*e^5/c/(-b*e^2+2*c*d*e)*b^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))-15/2*e^3*c^2/(-b*e^2+2*c*d*e)^2*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d^2*f+5/8*e^4/(-b*e^2+2*c*d*e)^2*b^4*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d*g-5/32*g*e^3/(-b*e^2+2*c*d*e)*b^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x+15/32*g*e^2/(-b*e^2+2*c*d*e)*b^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d-2/e^4/(-b*e^2+2*c*d*e)/(x+d/e)^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(7/2)*d*g-5/3*e^3*c/(-b*e^2+2*c*d*e)^2*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*f-5/16*e^7/(-b*e^2+2*c*d*e)^2*b^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*f+16/3/e*c/(-b*e^2+2*c*d*e)^2/(x+d/e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(7/2)*f","B"
2201,1,4987,320,0.071000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^4,x)","\text{output too large to display}"," ",0,"-15/8*e^7*c/(-b*e^2+2*c*d*e)^3*b^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d*g+45*e^4*c^3/(-b*e^2+2*c*d*e)^3*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d^2*g-15/2*e^5*c^2/(-b*e^2+2*c*d*e)^3*b^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d*g-75/4*e^7*c^2/(-b*e^2+2*c*d*e)^3*b^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d*f-20*e^3*c^3/(-b*e^2+2*c*d*e)^3*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*x*d*g-75*e^5*c^3/(-b*e^2+2*c*d*e)^3*b^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^3*g+150*e^4*c^4/(-b*e^2+2*c*d*e)^3*b^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^4*g-150*e^5*c^4/(-b*e^2+2*c*d*e)^3*b^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^3*f-150*e^3*c^5/(-b*e^2+2*c*d*e)^3*b/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^5*g+150*e^4*c^5/(-b*e^2+2*c*d*e)^3*b/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^4*f+25*g*e^3*c^3/(-b*e^2+2*c*d*e)^2*b^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^3-45*e^5*c^3/(-b*e^2+2*c*d*e)^3*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d*f-90*e^3*c^4/(-b*e^2+2*c*d*e)^3*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d^3*g+90*e^4*c^4/(-b*e^2+2*c*d*e)^3*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d^2*f+75/4*e^6*c^2/(-b*e^2+2*c*d*e)^3*b^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^2*g+75*e^6*c^3/(-b*e^2+2*c*d*e)^3*b^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^2*f-25*g*e^2*c^4/(-b*e^2+2*c*d*e)^2*b/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^4-25/2*g*e^4*c^2/(-b*e^2+2*c*d*e)^2*b^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^2+15/2*g*e^3*c^2/(-b*e^2+2*c*d*e)^2*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d-15*g*e^2*c^3/(-b*e^2+2*c*d*e)^2*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d^2+25/8*g*e^5*c/(-b*e^2+2*c*d*e)^2*b^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d-32*e^2*c^3/(-b*e^2+2*c*d*e)^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)*f-2/e^4/(-b*e^2+2*c*d*e)/(x+d/e)^4*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(7/2)*f+16/3*g*c^2/(-b*e^2+2*c*d*e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)-60*e^3*c^5/(-b*e^2+2*c*d*e)^3*d^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*f+30*e^2*c^4/(-b*e^2+2*c*d*e)^3*d^4*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*b*g-30*e^3*c^4/(-b*e^2+2*c*d*e)^3*d^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*b*f+60*e^2*c^6/(-b*e^2+2*c*d*e)^3*d^6/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*g-60*e^3*c^6/(-b*e^2+2*c*d*e)^3*d^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*f+40*e^2*c^4/(-b*e^2+2*c*d*e)^3*d^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*x*g-40*e^3*c^4/(-b*e^2+2*c*d*e)^3*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*x*f+20*e^2*c^3/(-b*e^2+2*c*d*e)^3*d^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*b*g-20*e^3*c^3/(-b*e^2+2*c*d*e)^3*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*b*f-10/3*g*e^2*c^2/(-b*e^2+2*c*d*e)^2*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*x-15/2*g*e^2*c^2/(-b*e^2+2*c*d*e)^2*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d^2-5/4*g*e^4*c/(-b*e^2+2*c*d*e)^2*b^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x+15/4*g*e^3*c/(-b*e^2+2*c*d*e)^2*b^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d+10*g*e*c^4/(-b*e^2+2*c*d*e)^2*d^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x+20*e^4*c^3/(-b*e^2+2*c*d*e)^3*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*x*f-10*e^3*c^2/(-b*e^2+2*c*d*e)^3*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*d*g+5*g*e*c^3/(-b*e^2+2*c*d*e)^2*d^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*b-15/4*e^5*c/(-b*e^2+2*c*d*e)^3*b^4*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d*g-45*e^3*c^3/(-b*e^2+2*c*d*e)^3*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d^3*g+45*e^4*c^3/(-b*e^2+2*c*d*e)^3*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d^2*f+15/8*e^8*c/(-b*e^2+2*c*d*e)^3*b^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*f-32*c^2/(-b*e^2+2*c*d*e)^3/(x+d/e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(7/2)*f+2*g/e^4/(-b*e^2+2*c*d*e)/(x+d/e)^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(7/2)-5/8*g*e^4/(-b*e^2+2*c*d*e)^2*b^4*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)+32/e*c^2/(-b*e^2+2*c*d*e)^3/(x+d/e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(7/2)*d*g+12/e^3*c/(-b*e^2+2*c*d*e)^2/(x+d/e)^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(7/2)*d*g+15/2*e^6*c^2/(-b*e^2+2*c*d*e)^3*b^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*f+45/2*e^4*c^2/(-b*e^2+2*c*d*e)^3*b^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d^2*g-45/2*e^5*c^2/(-b*e^2+2*c*d*e)^3*b^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d*f+60*e^2*c^5/(-b*e^2+2*c*d*e)^3*d^4*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*g+16/3*g/e^2*c/(-b*e^2+2*c*d*e)^2/(x+d/e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(7/2)-5/3*g*e^2*c/(-b*e^2+2*c*d*e)^2*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)-5/16*g*e^6/(-b*e^2+2*c*d*e)^2*b^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))+32*e*c^3/(-b*e^2+2*c*d*e)^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)*d*g+10*e^4*c^2/(-b*e^2+2*c*d*e)^3*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*f+15/4*e^6*c/(-b*e^2+2*c*d*e)^3*b^4*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*f-12/e^2*c/(-b*e^2+2*c*d*e)^2/(x+d/e)^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(7/2)*f+2/e^5/(-b*e^2+2*c*d*e)/(x+d/e)^4*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(7/2)*d*g+20/3*g*e*c^3/(-b*e^2+2*c*d*e)^2*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*x+10/3*g*e*c^2/(-b*e^2+2*c*d*e)^2*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*b+10*g*e*c^5/(-b*e^2+2*c*d*e)^2*d^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))","B"
2202,1,5227,324,0.072000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^5,x)","\text{output too large to display}"," ",0,"result too large to display","B"
2203,1,5440,328,0.115000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^6,x)","\text{output too large to display}"," ",0,"result too large to display","B"
2204,1,1905,242,0.067000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^7,x)","\frac{b^{5} c^{3} e^{9} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\left(-b \,e^{2}+2 c d e \right)^{5} \sqrt{c \,e^{2}}}-\frac{10 b^{4} c^{4} d \,e^{8} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\left(-b \,e^{2}+2 c d e \right)^{5} \sqrt{c \,e^{2}}}+\frac{40 b^{3} c^{5} d^{2} e^{7} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\left(-b \,e^{2}+2 c d e \right)^{5} \sqrt{c \,e^{2}}}-\frac{80 b^{2} c^{6} d^{3} e^{6} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\left(-b \,e^{2}+2 c d e \right)^{5} \sqrt{c \,e^{2}}}+\frac{80 b \,c^{7} d^{4} e^{5} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\left(-b \,e^{2}+2 c d e \right)^{5} \sqrt{c \,e^{2}}}-\frac{32 c^{8} d^{5} e^{4} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{d}{e}-\frac{-b \,e^{2}+2 c d e}{2 c \,e^{2}}\right)}{\sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}\right)}{\left(-b \,e^{2}+2 c d e \right)^{5} \sqrt{c \,e^{2}}}+\frac{4 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b^{3} c^{4} e^{7} g x}{\left(-b \,e^{2}+2 c d e \right)^{5}}-\frac{24 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b^{2} c^{5} d \,e^{6} g x}{\left(-b \,e^{2}+2 c d e \right)^{5}}+\frac{48 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b \,c^{6} d^{2} e^{5} g x}{\left(-b \,e^{2}+2 c d e \right)^{5}}-\frac{32 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, c^{7} d^{3} e^{4} g x}{\left(-b \,e^{2}+2 c d e \right)^{5}}+\frac{2 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b^{4} c^{3} e^{7} g}{\left(-b \,e^{2}+2 c d e \right)^{5}}-\frac{12 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b^{3} c^{4} d \,e^{6} g}{\left(-b \,e^{2}+2 c d e \right)^{5}}+\frac{24 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b^{2} c^{5} d^{2} e^{5} g}{\left(-b \,e^{2}+2 c d e \right)^{5}}-\frac{16 \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}\, b \,c^{6} d^{3} e^{4} g}{\left(-b \,e^{2}+2 c d e \right)^{5}}+\frac{32 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{3}{2}} b \,c^{5} e^{5} g x}{3 \left(-b \,e^{2}+2 c d e \right)^{5}}-\frac{64 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{3}{2}} c^{6} d \,e^{4} g x}{3 \left(-b \,e^{2}+2 c d e \right)^{5}}+\frac{16 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{3}{2}} b^{2} c^{4} e^{5} g}{3 \left(-b \,e^{2}+2 c d e \right)^{5}}-\frac{32 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{3}{2}} b \,c^{5} d \,e^{4} g}{3 \left(-b \,e^{2}+2 c d e \right)^{5}}-\frac{256 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{5}{2}} c^{5} e^{3} g}{15 \left(-b \,e^{2}+2 c d e \right)^{5}}-\frac{256 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{7}{2}} c^{4} e g}{15 \left(-b \,e^{2}+2 c d e \right)^{5} \left(x +\frac{d}{e}\right)^{2}}-\frac{32 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{7}{2}} c^{3} g}{5 \left(-b \,e^{2}+2 c d e \right)^{4} \left(x +\frac{d}{e}\right)^{3} e}-\frac{16 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{7}{2}} c^{2} g}{15 \left(-b \,e^{2}+2 c d e \right)^{3} \left(x +\frac{d}{e}\right)^{4} e^{3}}+\frac{4 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{7}{2}} c g}{15 \left(-b \,e^{2}+2 c d e \right)^{2} \left(x +\frac{d}{e}\right)^{5} e^{5}}-\frac{2 \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{7}{2}} g}{5 \left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)^{6} e^{7}}-\frac{2 \left(-d g +e f \right) \left(-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)\right)^{\frac{7}{2}}}{7 \left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)^{7} e^{8}}"," ",0,"80*g*e^5*c^7/(-b*e^2+2*c*d*e)^5*b/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^4+40*g*e^7*c^5/(-b*e^2+2*c*d*e)^5*b^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^2-24*g*e^6*c^5/(-b*e^2+2*c*d*e)^5*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d+48*g*e^5*c^6/(-b*e^2+2*c*d*e)^5*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x*d^2-80*g*e^6*c^6/(-b*e^2+2*c*d*e)^5*b^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d^3-10*g*e^8*c^4/(-b*e^2+2*c*d*e)^5*b^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))*d-2/7*(-d*g+e*f)/e^8/(-b*e^2+2*c*d*e)/(x+d/e)^7*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(7/2)-2/5*g/e^7/(-b*e^2+2*c*d*e)/(x+d/e)^6*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(7/2)-256/15*g*e^3*c^5/(-b*e^2+2*c*d*e)^5*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(5/2)+32/3*g*e^5*c^5/(-b*e^2+2*c*d*e)^5*b*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*x+24*g*e^5*c^5/(-b*e^2+2*c*d*e)^5*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d^2-16/15*g/e^3*c^2/(-b*e^2+2*c*d*e)^3/(x+d/e)^4*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(7/2)-32/5*g/e*c^3/(-b*e^2+2*c*d*e)^4/(x+d/e)^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(7/2)-256/15*g*e*c^4/(-b*e^2+2*c*d*e)^5/(x+d/e)^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(7/2)+16/3*g*e^5*c^4/(-b*e^2+2*c*d*e)^5*b^2*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)+2*g*e^7*c^3/(-b*e^2+2*c*d*e)^5*b^4*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)+4/15*g/e^5*c/(-b*e^2+2*c*d*e)^2/(x+d/e)^5*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(7/2)-64/3*g*e^4*c^6/(-b*e^2+2*c*d*e)^5*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*x-32/3*g*e^4*c^5/(-b*e^2+2*c*d*e)^5*d*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(3/2)*b-32*g*e^4*c^7/(-b*e^2+2*c*d*e)^5*d^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x-16*g*e^4*c^6/(-b*e^2+2*c*d*e)^5*d^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*b-32*g*e^4*c^8/(-b*e^2+2*c*d*e)^5*d^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))+4*g*e^7*c^4/(-b*e^2+2*c*d*e)^5*b^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*x-12*g*e^6*c^4/(-b*e^2+2*c*d*e)^5*b^3*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)*d+g*e^9*c^3/(-b*e^2+2*c*d*e)^5*b^5/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+d/e-1/2*(-b*e^2+2*c*d*e)/c/e^2)/(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2))","B"
2205,1,128,130,0.056000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^8,x)","-\frac{2 \left(c e x +b e -c d \right) \left(9 b \,e^{2} g x -16 c d e g x -2 c \,e^{2} f x +2 b d e g +7 b \,e^{2} f -2 c \,d^{2} g -16 c d e f \right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}}}{63 \left(e x +d \right)^{7} \left(b^{2} e^{2}-4 b c d e +4 c^{2} d^{2}\right) e^{2}}"," ",0,"-2/63*(c*e*x+b*e-c*d)*(9*b*e^2*g*x-16*c*d*e*g*x-2*c*e^2*f*x+2*b*d*e*g+7*b*e^2*f-2*c*d^2*g-16*c*d*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^7/e^2/(b^2*e^2-4*b*c*d*e+4*c^2*d^2)","A"
2206,1,236,198,0.053000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^9,x)","-\frac{2 \left(c e x +b e -c d \right) \left(-22 b c \,e^{3} g \,x^{2}+36 c^{2} d \,e^{2} g \,x^{2}+8 c^{2} e^{3} f \,x^{2}+77 b^{2} e^{3} g x -324 b c d \,e^{2} g x -28 b c \,e^{3} f x +324 c^{2} d^{2} e g x +72 c^{2} d \,e^{2} f x +14 b^{2} d \,e^{2} g +63 b^{2} e^{3} f -50 b c \,d^{2} e g -280 b c d \,e^{2} f +36 c^{2} d^{3} g +316 c^{2} d^{2} e f \right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}}}{693 \left(e x +d \right)^{8} \left(b^{3} e^{3}-6 b^{2} c d \,e^{2}+12 b \,c^{2} d^{2} e -8 c^{3} d^{3}\right) e^{2}}"," ",0,"-2/693*(c*e*x+b*e-c*d)*(-22*b*c*e^3*g*x^2+36*c^2*d*e^2*g*x^2+8*c^2*e^3*f*x^2+77*b^2*e^3*g*x-324*b*c*d*e^2*g*x-28*b*c*e^3*f*x+324*c^2*d^2*e*g*x+72*c^2*d*e^2*f*x+14*b^2*d*e^2*g+63*b^2*e^3*f-50*b*c*d^2*e*g-280*b*c*d*e^2*f+36*c^2*d^3*g+316*c^2*d^2*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^8/(b^3*e^3-6*b^2*c*d*e^2+12*b*c^2*d^2*e-8*c^3*d^3)/e^2","A"
2207,1,382,269,0.111000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^10,x)","-\frac{2 \left(c e x +b e -c d \right) \left(104 b \,c^{2} e^{4} g \,x^{3}-160 c^{3} d \,e^{3} g \,x^{3}-48 c^{3} e^{4} f \,x^{3}-364 b^{2} c \,e^{4} g \,x^{2}+1600 b \,c^{2} d \,e^{3} g \,x^{2}+168 b \,c^{2} e^{4} f \,x^{2}-1600 c^{3} d^{2} e^{2} g \,x^{2}-480 c^{3} d \,e^{3} f \,x^{2}+819 b^{3} e^{4} g x -5264 b^{2} c d \,e^{3} g x -378 b^{2} c \,e^{4} f x +11204 b \,c^{2} d^{2} e^{2} g x +1848 b \,c^{2} d \,e^{3} f x -7760 c^{3} d^{3} e g x -2328 c^{3} d^{2} e^{2} f x +126 b^{3} d \,e^{3} g +693 b^{3} e^{4} f -742 b^{2} c \,d^{2} e^{2} g -4536 b^{2} c d \,e^{3} f +1392 b \,c^{2} d^{3} e g +9996 b \,c^{2} d^{2} e^{2} f -776 c^{3} d^{4} g -7440 c^{3} d^{3} e f \right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}}}{9009 \left(e x +d \right)^{9} \left(b^{4} e^{4}-8 b^{3} c d \,e^{3}+24 b^{2} c^{2} d^{2} e^{2}-32 b \,c^{3} d^{3} e +16 c^{4} d^{4}\right) e^{2}}"," ",0,"-2/9009*(c*e*x+b*e-c*d)*(104*b*c^2*e^4*g*x^3-160*c^3*d*e^3*g*x^3-48*c^3*e^4*f*x^3-364*b^2*c*e^4*g*x^2+1600*b*c^2*d*e^3*g*x^2+168*b*c^2*e^4*f*x^2-1600*c^3*d^2*e^2*g*x^2-480*c^3*d*e^3*f*x^2+819*b^3*e^4*g*x-5264*b^2*c*d*e^3*g*x-378*b^2*c*e^4*f*x+11204*b*c^2*d^2*e^2*g*x+1848*b*c^2*d*e^3*f*x-7760*c^3*d^3*e*g*x-2328*c^3*d^2*e^2*f*x+126*b^3*d*e^3*g+693*b^3*e^4*f-742*b^2*c*d^2*e^2*g-4536*b^2*c*d*e^3*f+1392*b*c^2*d^3*e*g+9996*b*c^2*d^2*e^2*f-776*c^3*d^4*g-7440*c^3*d^3*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^9/e^2/(b^4*e^4-8*b^3*c*d*e^3+24*b^2*c^2*d^2*e^2-32*b*c^3*d^3*e+16*c^4*d^4)","A"
2208,1,564,340,0.065000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^11,x)","-\frac{2 \left(c e x +b e -c d \right) \left(-240 b \,c^{3} e^{5} g \,x^{4}+352 c^{4} d \,e^{4} g \,x^{4}+128 c^{4} e^{5} f \,x^{4}+840 b^{2} c^{2} e^{5} g \,x^{3}-3872 b \,c^{3} d \,e^{4} g \,x^{3}-448 b \,c^{3} e^{5} f \,x^{3}+3872 c^{4} d^{2} e^{3} g \,x^{3}+1408 c^{4} d \,e^{4} f \,x^{3}-1890 b^{3} c \,e^{5} g \,x^{2}+12852 b^{2} c^{2} d \,e^{4} g \,x^{2}+1008 b^{2} c^{2} e^{5} f \,x^{2}-28824 b \,c^{3} d^{2} e^{3} g \,x^{2}-5376 b \,c^{3} d \,e^{4} f \,x^{2}+20592 c^{4} d^{3} e^{2} g \,x^{2}+7488 c^{4} d^{2} e^{3} f \,x^{2}+3465 b^{4} e^{5} g x -29652 b^{3} c d \,e^{4} g x -1848 b^{3} c \,e^{5} f x +95256 b^{2} c^{2} d^{2} e^{3} g x +13104 b^{2} c^{2} d \,e^{4} f x -135696 b \,c^{3} d^{3} e^{2} g x -31584 b \,c^{3} d^{2} e^{3} f x +71632 c^{4} d^{4} e g x +26048 c^{4} d^{3} e^{2} f x +462 b^{4} d \,e^{4} g +3003 b^{4} e^{5} f -3738 b^{3} c \,d^{2} e^{3} g -25872 b^{3} c d \,e^{4} f +11172 b^{2} c^{2} d^{3} e^{2} g +84168 b^{2} c^{2} d^{2} e^{3} f -14408 b \,c^{3} d^{4} e g -122752 b \,c^{3} d^{3} e^{2} f +6512 c^{4} d^{5} g +67888 c^{4} d^{4} e f \right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}}}{45045 \left(e x +d \right)^{10} \left(b^{5} e^{5}-10 b^{4} c d \,e^{4}+40 b^{3} c^{2} d^{2} e^{3}-80 b^{2} c^{3} d^{3} e^{2}+80 b \,c^{4} d^{4} e -32 c^{5} d^{5}\right) e^{2}}"," ",0,"-2/45045*(c*e*x+b*e-c*d)*(-240*b*c^3*e^5*g*x^4+352*c^4*d*e^4*g*x^4+128*c^4*e^5*f*x^4+840*b^2*c^2*e^5*g*x^3-3872*b*c^3*d*e^4*g*x^3-448*b*c^3*e^5*f*x^3+3872*c^4*d^2*e^3*g*x^3+1408*c^4*d*e^4*f*x^3-1890*b^3*c*e^5*g*x^2+12852*b^2*c^2*d*e^4*g*x^2+1008*b^2*c^2*e^5*f*x^2-28824*b*c^3*d^2*e^3*g*x^2-5376*b*c^3*d*e^4*f*x^2+20592*c^4*d^3*e^2*g*x^2+7488*c^4*d^2*e^3*f*x^2+3465*b^4*e^5*g*x-29652*b^3*c*d*e^4*g*x-1848*b^3*c*e^5*f*x+95256*b^2*c^2*d^2*e^3*g*x+13104*b^2*c^2*d*e^4*f*x-135696*b*c^3*d^3*e^2*g*x-31584*b*c^3*d^2*e^3*f*x+71632*c^4*d^4*e*g*x+26048*c^4*d^3*e^2*f*x+462*b^4*d*e^4*g+3003*b^4*e^5*f-3738*b^3*c*d^2*e^3*g-25872*b^3*c*d*e^4*f+11172*b^2*c^2*d^3*e^2*g+84168*b^2*c^2*d^2*e^3*f-14408*b*c^3*d^4*e*g-122752*b*c^3*d^3*e^2*f+6512*c^4*d^5*g+67888*c^4*d^4*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^10/e^2/(b^5*e^5-10*b^4*c*d*e^4+40*b^3*c^2*d^2*e^3-80*b^2*c^3*d^3*e^2+80*b*c^4*d^4*e-32*c^5*d^5)","A"
2209,1,1208,314,0.067000," ","int((e*x+d)^3*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x)","\frac{35 b^{4} e^{3} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{128 \sqrt{c \,e^{2}}\, c^{4}}-\frac{15 b^{3} d \,e^{2} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{8 \sqrt{c \,e^{2}}\, c^{3}}-\frac{5 b^{3} e^{3} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{16 \sqrt{c \,e^{2}}\, c^{3}}+\frac{75 b^{2} d^{2} e g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{16 \sqrt{c \,e^{2}}\, c^{2}}+\frac{15 b^{2} d \,e^{2} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{8 \sqrt{c \,e^{2}}\, c^{2}}-\frac{5 b \,d^{3} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{\sqrt{c \,e^{2}}\, c}-\frac{15 b \,d^{2} e f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{4 \sqrt{c \,e^{2}}\, c}+\frac{15 d^{4} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{8 \sqrt{c \,e^{2}}\, e}+\frac{5 d^{3} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{2 \sqrt{c \,e^{2}}}-\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, e g \,x^{3}}{4 c}+\frac{7 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b e g \,x^{2}}{24 c^{2}}-\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, d g \,x^{2}}{c}-\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, e f \,x^{2}}{3 c}-\frac{35 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{2} e g x}{96 c^{3}}+\frac{13 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b d g x}{8 c^{2}}+\frac{5 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b e f x}{12 c^{2}}-\frac{15 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, d^{2} g x}{8 c e}-\frac{3 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, d f x}{2 c}+\frac{35 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{3} e g}{64 c^{4}}-\frac{145 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{2} d g}{48 c^{3}}-\frac{5 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{2} e f}{8 c^{3}}+\frac{259 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b \,d^{2} g}{48 c^{2} e}+\frac{35 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b d f}{12 c^{2}}-\frac{3 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, d^{3} g}{c \,e^{2}}-\frac{11 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, d^{2} f}{3 c e}"," ",0,"-5/16*b^3/c^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*e^3*f+5/2*d^3*f/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))+5/12*b/c^2*x*e*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*f-3/2*x/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d*f-5/8*b^2/c^3*e*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*f+15/8*b^2/c^2*e^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d*f+75/16*e*g*b^2/c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^2+35/12/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d*f-3/e^2/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^3*g-11/3/e/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2*f-x^2/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d*g-1/3*x^2/c*e*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*f-1/4*e*g*x^3/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)+35/64*e*g*b^3/c^4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)-145/48*g*b^2/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d+15/8/e*g/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^4+259/48/e*g*b/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2+13/8*g/c^2*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d-15/8/e*g/c*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2-5*g/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*b*d^3+7/24*e*g*b/c^2*x^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)-35/96*e*g*b^2/c^3*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)+35/128*e^3*g*b^4/c^4/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))-15/8*e^2*g*b^3/c^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d-15/4*b/c*e/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^2*f","B"
2210,1,786,243,0.064000," ","int((e*x+d)^2*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x)","-\frac{5 b^{3} e^{2} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{16 \sqrt{c \,e^{2}}\, c^{3}}+\frac{3 b^{2} d e g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{2 \sqrt{c \,e^{2}}\, c^{2}}+\frac{3 b^{2} e^{2} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{8 \sqrt{c \,e^{2}}\, c^{2}}-\frac{9 b \,d^{2} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{4 \sqrt{c \,e^{2}}\, c}-\frac{3 b d e f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{2 \sqrt{c \,e^{2}}\, c}+\frac{d^{3} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{\sqrt{c \,e^{2}}\, e}+\frac{3 d^{2} f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{2 \sqrt{c \,e^{2}}}-\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, g \,x^{2}}{3 c}+\frac{5 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b g x}{12 c^{2}}-\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, d g x}{c e}-\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, f x}{2 c}-\frac{5 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b^{2} g}{8 c^{3}}+\frac{13 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b d g}{6 c^{2} e}+\frac{3 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b f}{4 c^{2}}-\frac{5 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, d^{2} g}{3 c \,e^{2}}-\frac{2 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, d f}{c e}"," ",0,"-1/3*g*x^2/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)+5/12*g*b/c^2*x*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)-5/8*g*b^2/c^3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)-5/16*e^2*g*b^3/c^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))+3/2*e*g*b^2/c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d-9/4*g*b/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^2+13/6/e*g/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d-5/3/e^2*g/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2-x/c/e*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d*g-1/2*x/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*f+3/4*b/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*f+3/8*b^2/c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*e^2*f-3/2/c*e/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*b*d*f+1/e/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^3*g+3/2*d^2*f/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))-2/c/e*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d*f","B"
2211,1,460,135,0.060000," ","int((e*x+d)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x)","\frac{3 b^{2} e g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{8 \sqrt{c \,e^{2}}\, c^{2}}-\frac{b d g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{\sqrt{c \,e^{2}}\, c}-\frac{b e f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{2 \sqrt{c \,e^{2}}\, c}+\frac{d^{2} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{2 \sqrt{c \,e^{2}}\, e}+\frac{d f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{\sqrt{c \,e^{2}}}-\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, g x}{2 c e}+\frac{3 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, b g}{4 c^{2} e}-\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, d g}{c \,e^{2}}-\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, f}{c e}"," ",0,"-1/2/e*g*x/c*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)+3/4/e*g*b/c^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)+3/8*e*g*b^2/c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))-g/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*b*d+1/2/e*g/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^2-1/c/e^2*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d*g-1/c/e*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*f-1/2*b/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*e*f+d*f/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))","B"
2212,1,134,111,0.058000," ","int((g*x+f)/(e*x+d)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x)","\frac{g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{\sqrt{c \,e^{2}}\, e}-\frac{2 \left(-d g +e f \right) \sqrt{-\left(x +\frac{d}{e}\right)^{2} c \,e^{2}+\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right)}}{\left(-b \,e^{2}+2 c d e \right) \left(x +\frac{d}{e}\right) e^{2}}"," ",0,"g/e/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))-2*(-d*g+e*f)/e^2/(-b*e^2+2*c*d*e)/(x+d/e)*(-(x+d/e)^2*c*e^2+(-b*e^2+2*c*d*e)*(x+d/e))^(1/2)","A"
2213,1,127,129,0.050000," ","int((g*x+f)/(e*x+d)^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x)","-\frac{2 \left(c e x +b e -c d \right) \left(3 b \,e^{2} g x -4 c d e g x -2 c \,e^{2} f x +2 b d e g +b \,e^{2} f -2 c \,d^{2} g -4 c d e f \right)}{3 \left(e x +d \right) \left(b^{2} e^{2}-4 b c d e +4 c^{2} d^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, e^{2}}"," ",0,"-2/3*(c*e*x+b*e-c*d)*(3*b*e^2*g*x-4*c*d*e*g*x-2*c*e^2*f*x+2*b*d*e*g+b*e^2*f-2*c*d^2*g-4*c*d*e*f)/(e*x+d)/e^2/(b^2*e^2-4*b*c*d*e+4*c^2*d^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)","A"
2214,1,236,198,0.056000," ","int((g*x+f)/(e*x+d)^3/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x)","-\frac{2 \left(c e x +b e -c d \right) \left(-10 b c \,e^{3} g \,x^{2}+12 c^{2} d \,e^{2} g \,x^{2}+8 c^{2} e^{3} f \,x^{2}+5 b^{2} e^{3} g x -36 b c d \,e^{2} g x -4 b c \,e^{3} f x +36 c^{2} d^{2} e g x +24 c^{2} d \,e^{2} f x +2 b^{2} d \,e^{2} g +3 b^{2} e^{3} f -14 b c \,d^{2} e g -16 b c d \,e^{2} f +12 c^{2} d^{3} g +28 c^{2} d^{2} e f \right)}{15 \left(e x +d \right)^{2} \left(b^{3} e^{3}-6 b^{2} c d \,e^{2}+12 b \,c^{2} d^{2} e -8 c^{3} d^{3}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, e^{2}}"," ",0,"-2/15*(c*e*x+b*e-c*d)*(-10*b*c*e^3*g*x^2+12*c^2*d*e^2*g*x^2+8*c^2*e^3*f*x^2+5*b^2*e^3*g*x-36*b*c*d*e^2*g*x-4*b*c*e^3*f*x+36*c^2*d^2*e*g*x+24*c^2*d*e^2*f*x+2*b^2*d*e^2*g+3*b^2*e^3*f-14*b*c*d^2*e*g-16*b*c*d*e^2*f+12*c^2*d^3*g+28*c^2*d^2*e*f)/(e*x+d)^2/(b^3*e^3-6*b^2*c*d*e^2+12*b*c^2*d^2*e-8*c^3*d^3)/e^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)","A"
2215,1,382,269,0.054000," ","int((g*x+f)/(e*x+d)^4/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x)","-\frac{2 \left(c e x +b e -c d \right) \left(56 b \,c^{2} e^{4} g \,x^{3}-64 c^{3} d \,e^{3} g \,x^{3}-48 c^{3} e^{4} f \,x^{3}-28 b^{2} c \,e^{4} g \,x^{2}+256 b \,c^{2} d \,e^{3} g \,x^{2}+24 b \,c^{2} e^{4} f \,x^{2}-256 c^{3} d^{2} e^{2} g \,x^{2}-192 c^{3} d \,e^{3} f \,x^{2}+21 b^{3} e^{4} g x -164 b^{2} c d \,e^{3} g x -18 b^{2} c \,e^{4} f x +524 b \,c^{2} d^{2} e^{2} g x +120 b \,c^{2} d \,e^{3} f x -416 c^{3} d^{3} e g x -312 c^{3} d^{2} e^{2} f x +6 b^{3} d \,e^{3} g +15 b^{3} e^{4} f -46 b^{2} c \,d^{2} e^{2} g -108 b^{2} c d \,e^{3} f +144 b \,c^{2} d^{3} e g +276 b \,c^{2} d^{2} e^{2} f -104 c^{3} d^{4} g -288 c^{3} d^{3} e f \right)}{105 \left(e x +d \right)^{3} \left(b^{4} e^{4}-8 b^{3} c d \,e^{3}+24 b^{2} c^{2} d^{2} e^{2}-32 b \,c^{3} d^{3} e +16 c^{4} d^{4}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, e^{2}}"," ",0,"-2/105*(c*e*x+b*e-c*d)*(56*b*c^2*e^4*g*x^3-64*c^3*d*e^3*g*x^3-48*c^3*e^4*f*x^3-28*b^2*c*e^4*g*x^2+256*b*c^2*d*e^3*g*x^2+24*b*c^2*e^4*f*x^2-256*c^3*d^2*e^2*g*x^2-192*c^3*d*e^3*f*x^2+21*b^3*e^4*g*x-164*b^2*c*d*e^3*g*x-18*b^2*c*e^4*f*x+524*b*c^2*d^2*e^2*g*x+120*b*c^2*d*e^3*f*x-416*c^3*d^3*e*g*x-312*c^3*d^2*e^2*f*x+6*b^3*d*e^3*g+15*b^3*e^4*f-46*b^2*c*d^2*e^2*g-108*b^2*c*d*e^3*f+144*b*c^2*d^3*e*g+276*b*c^2*d^2*e^2*f-104*c^3*d^4*g-288*c^3*d^3*e*f)/(e*x+d)^3/e^2/(b^4*e^4-8*b^3*c*d*e^3+24*b^2*c^2*d^2*e^2-32*b*c^3*d^3*e+16*c^4*d^4)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)","A"
2216,1,564,340,0.054000," ","int((g*x+f)/(e*x+d)^5/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x)","-\frac{2 \left(c e x +b e -c d \right) \left(-144 b \,c^{3} e^{5} g \,x^{4}+160 c^{4} d \,e^{4} g \,x^{4}+128 c^{4} e^{5} f \,x^{4}+72 b^{2} c^{2} e^{5} g \,x^{3}-800 b \,c^{3} d \,e^{4} g \,x^{3}-64 b \,c^{3} e^{5} f \,x^{3}+800 c^{4} d^{2} e^{3} g \,x^{3}+640 c^{4} d \,e^{4} f \,x^{3}-54 b^{3} c \,e^{5} g \,x^{2}+492 b^{2} c^{2} d \,e^{4} g \,x^{2}+48 b^{2} c^{2} e^{5} f \,x^{2}-1992 b \,c^{3} d^{2} e^{3} g \,x^{2}-384 b \,c^{3} d \,e^{4} f \,x^{2}+1680 c^{4} d^{3} e^{2} g \,x^{2}+1344 c^{4} d^{2} e^{3} f \,x^{2}+45 b^{4} e^{5} g x -428 b^{3} c d \,e^{4} g x -40 b^{3} c \,e^{5} f x +1608 b^{2} c^{2} d^{2} e^{3} g x +336 b^{2} c^{2} d \,e^{4} f x -3120 b \,c^{3} d^{3} e^{2} g x -1056 b \,c^{3} d^{2} e^{3} f x +2000 c^{4} d^{4} e g x +1600 c^{4} d^{3} e^{2} f x +10 b^{4} d \,e^{4} g +35 b^{4} e^{5} f -94 b^{3} c \,d^{2} e^{3} g -320 b^{3} c d \,e^{4} f +348 b^{2} c^{2} d^{3} e^{2} g +1128 b^{2} c^{2} d^{2} e^{3} f -664 b \,c^{3} d^{4} e g -1856 b \,c^{3} d^{3} e^{2} f +400 c^{4} d^{5} g +1328 c^{4} d^{4} e f \right)}{315 \left(e x +d \right)^{4} \left(b^{5} e^{5}-10 b^{4} c d \,e^{4}+40 b^{3} c^{2} d^{2} e^{3}-80 b^{2} c^{3} d^{3} e^{2}+80 b \,c^{4} d^{4} e -32 c^{5} d^{5}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, e^{2}}"," ",0,"-2/315*(c*e*x+b*e-c*d)*(-144*b*c^3*e^5*g*x^4+160*c^4*d*e^4*g*x^4+128*c^4*e^5*f*x^4+72*b^2*c^2*e^5*g*x^3-800*b*c^3*d*e^4*g*x^3-64*b*c^3*e^5*f*x^3+800*c^4*d^2*e^3*g*x^3+640*c^4*d*e^4*f*x^3-54*b^3*c*e^5*g*x^2+492*b^2*c^2*d*e^4*g*x^2+48*b^2*c^2*e^5*f*x^2-1992*b*c^3*d^2*e^3*g*x^2-384*b*c^3*d*e^4*f*x^2+1680*c^4*d^3*e^2*g*x^2+1344*c^4*d^2*e^3*f*x^2+45*b^4*e^5*g*x-428*b^3*c*d*e^4*g*x-40*b^3*c*e^5*f*x+1608*b^2*c^2*d^2*e^3*g*x+336*b^2*c^2*d*e^4*f*x-3120*b*c^3*d^3*e^2*g*x-1056*b*c^3*d^2*e^3*f*x+2000*c^4*d^4*e*g*x+1600*c^4*d^3*e^2*f*x+10*b^4*d*e^4*g+35*b^4*e^5*f-94*b^3*c*d^2*e^3*g-320*b^3*c*d*e^4*f+348*b^2*c^2*d^3*e^2*g+1128*b^2*c^2*d^2*e^3*f-664*b*c^3*d^4*e*g-1856*b*c^3*d^3*e^2*f+400*c^4*d^5*g+1328*c^4*d^4*e*f)/(e*x+d)^4/e^2/(b^5*e^5-10*b^4*c*d*e^4+40*b^3*c^2*d^2*e^3-80*b^2*c^3*d^3*e^2+80*b*c^4*d^4*e-32*c^5*d^5)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)","A"
2217,1,2032,267,0.065000," ","int((e*x+d)^3*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x)","-\frac{15 b^{4} e^{5} g x}{8 \left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{3}}+\frac{11 b^{3} d \,e^{4} g x}{\left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{2}}+\frac{3 b^{3} e^{5} f x}{2 \left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{2}}-\frac{43 b^{2} d^{2} e^{3} g x}{2 \left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c}-\frac{7 b^{2} d \,e^{4} f x}{\left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c}+\frac{14 b \,d^{3} e^{2} g x}{\left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}+\frac{10 b \,d^{2} e^{3} f x}{\left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}-\frac{15 b^{5} e^{5} g}{16 \left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{4}}+\frac{11 b^{4} d \,e^{4} g}{2 \left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{3}}+\frac{3 b^{4} e^{5} f}{4 \left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{3}}-\frac{43 b^{3} d^{2} e^{3} g}{4 \left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{2}}-\frac{7 b^{3} d \,e^{4} f}{2 \left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{2}}+\frac{7 b^{2} d^{3} e^{2} g}{\left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c}+\frac{5 b^{2} d^{2} e^{3} f}{\left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c}-\frac{e g \,x^{3}}{2 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c}+\frac{2 \left(-2 c \,e^{2} x -b \,e^{2}\right) d^{3} f}{\left(-b^{2} e^{4}-4 \left(-b d e +c \,d^{2}\right) c \,e^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}+\frac{5 b e g \,x^{2}}{4 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{2}}-\frac{3 d g \,x^{2}}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c}-\frac{e f \,x^{2}}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c}+\frac{15 b^{2} e g x}{8 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{3}}-\frac{15 b^{2} e g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{8 \sqrt{c \,e^{2}}\, c^{3}}-\frac{6 b d g x}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{2}}+\frac{6 b d g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{\sqrt{c \,e^{2}}\, c^{2}}-\frac{3 b e f x}{2 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{2}}+\frac{3 b e f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{2 \sqrt{c \,e^{2}}\, c^{2}}+\frac{9 d^{2} g x}{2 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c e}-\frac{9 d^{2} g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{2 \sqrt{c \,e^{2}}\, c e}+\frac{3 d f x}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c}-\frac{3 d f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{\sqrt{c \,e^{2}}\, c}-\frac{15 b^{3} e g}{16 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{4}}+\frac{11 b^{2} d g}{2 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{3}}+\frac{3 b^{2} e f}{4 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{3}}-\frac{43 b \,d^{2} g}{4 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{2} e}-\frac{7 b d f}{2 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{2}}+\frac{7 d^{3} g}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c \,e^{2}}+\frac{5 d^{2} f}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c e}"," ",0,"15/8*e*g*b^2/c^3*x/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)-15/16*e^5*g*b^5/c^4/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)-15/8*e*g*b^2/c^3/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))-43/4/e*g*b/c^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2-6*g/c^2*x/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d+9/2/e*g/c*x/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2+6*g/c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*b*d-9/2/e*g/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d^2+5/4*e*g*b/c^2*x^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)+3/2*b/c^2*e/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*f+3/4*b^4/c^3/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*e^5*f-3/2*b/c^2*x*e/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*f+11*e^4*g*b^3/c^2/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d-7*e^4/c*b^2/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d*f-43/2*e^3*g*b^2/c/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^2+7/e^2/c/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^3*g+5/e/c/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2*f+3*x/c/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d*f-3/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d*f-43/4*e^3*g*b^3/c^2/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2+3/2*b^3/c^2/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*e^5*x*f+2*d^3*f*(-2*c*e^2*x-b*e^2)/(-4*c*e^2*(-b*d*e+c*d^2)-b^2*e^4)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)-1/2*e*g*x^3/c/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)-15/16*e*g*b^3/c^4/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)+11/2*g*b^2/c^3/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d-3*x^2/c/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d*g-x^2/c*e/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*f+3/4*b^2/c^3*e/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*f-7/2/c^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d*f+5/c*b^2/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2*e^3*f-7/2*e^4/c^2*b^3/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d*f+7/c*b^2/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^3*e^2*g-15/8*e^5*g*b^4/c^3/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x+14*b/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^3*e^2*g+10*b/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^2*e^3*f+11/2*e^4*g*b^4/c^3/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d","B"
2218,1,1320,199,0.064000," ","int((e*x+d)^2*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x)","\frac{3 b^{3} e^{4} g x}{2 \left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{2}}-\frac{6 b^{2} d \,e^{3} g x}{\left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c}-\frac{b^{2} e^{4} f x}{\left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c}+\frac{6 b \,d^{2} e^{2} g x}{\left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}+\frac{4 b d \,e^{3} f x}{\left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}+\frac{3 b^{4} e^{4} g}{4 \left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{3}}-\frac{3 b^{3} d \,e^{3} g}{\left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{2}}-\frac{b^{3} e^{4} f}{2 \left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{2}}+\frac{3 b^{2} d^{2} e^{2} g}{\left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c}+\frac{2 b^{2} d \,e^{3} f}{\left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c}+\frac{2 \left(-2 c \,e^{2} x -b \,e^{2}\right) d^{2} f}{\left(-b^{2} e^{4}-4 \left(-b d e +c \,d^{2}\right) c \,e^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}-\frac{g \,x^{2}}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c}-\frac{3 b g x}{2 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{2}}+\frac{3 b g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{2 \sqrt{c \,e^{2}}\, c^{2}}+\frac{2 d g x}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c e}-\frac{2 d g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{\sqrt{c \,e^{2}}\, c e}+\frac{f x}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c}-\frac{f \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{\sqrt{c \,e^{2}}\, c}+\frac{3 b^{2} g}{4 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{3}}-\frac{3 b d g}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{2} e}-\frac{b f}{2 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{2}}+\frac{3 d^{2} g}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c \,e^{2}}+\frac{2 d f}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c e}"," ",0,"2*x/c/e/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d*g-1/2*b^3/c^2/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*e^4*f-2/c/e/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*d*g-3/e*g/c^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d+3/4*e^4*g*b^4/c^3/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)-6*e^3*g/c*b^2/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d+3/2*e^4*g*b^3/c^2/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x+6*e^2*g*b/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^2-g*x^2/c/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)+3/4*g*b^2/c^3/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)+2/c/e/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d*f-3/2*g*b/c^2*x/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)+3/2*g*b/c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))+3/e^2*g/c/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2+2*b^2/c/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*e^3*d*f+2*d^2*f*(-2*c*e^2*x-b*e^2)/(-b^2*e^4-4*(-b*d*e+c*d^2)*c*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)-3*e^3*g/c^2*b^3/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d+3*e^2*g/c*b^2/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2-b^2/c/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*e^4*x*f+4*b/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*e^3*x*d*f+x/c/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*f-1/2*b/c^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*f-1/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))*f","B"
2219,1,710,119,0.056000," ","int((e*x+d)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x)","-\frac{b^{2} e^{3} g x}{\left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c}+\frac{2 b d \,e^{2} g x}{\left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}+\frac{2 b \,e^{3} f x}{\left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}-\frac{b^{3} e^{3} g}{2 \left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{2}}+\frac{b^{2} d \,e^{2} g}{\left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c}+\frac{b^{2} e^{3} f}{\left(-b^{2} e^{4}+4 b c d \,e^{3}-4 d^{2} e^{2} c^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c}+\frac{2 \left(-2 c \,e^{2} x -b \,e^{2}\right) d f}{\left(-b^{2} e^{4}-4 \left(-b d e +c \,d^{2}\right) c \,e^{2}\right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}+\frac{g x}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c e}-\frac{g \arctan \left(\frac{\sqrt{c \,e^{2}}\, \left(x +\frac{b}{2 c}\right)}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\right)}{\sqrt{c \,e^{2}}\, c e}-\frac{b g}{2 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{2} e}+\frac{d g}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c \,e^{2}}+\frac{f}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c e}"," ",0,"1/e*g*x/c/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)-1/2/e*g*b/c^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)-e^3*g*b^2/c/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x-1/2*e^3*g*b^3/c^2/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)-1/e*g/c/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))+1/c/e^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d*g+1/c/e/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*f+2*b/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*e^2*x*d*g+2*b/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*e^3*x*f+b^2/c/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*e^2*d*g+b^2/c/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*e^3*f+2*d*f*(-2*c*e^2*x-b*e^2)/(-b^2*e^4-4*(-b*d*e+c*d^2)*c*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)","B"
2220,1,228,128,0.049000," ","int((g*x+f)/(e*x+d)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x)","-\frac{2 \left(c e x +b e -c d \right) \left(6 b c \,e^{3} g \,x^{2}-4 c^{2} d \,e^{2} g \,x^{2}-8 c^{2} e^{3} f \,x^{2}+3 b^{2} e^{3} g x +4 b c d \,e^{2} g x -4 b c \,e^{3} f x -4 c^{2} d^{2} e g x -8 c^{2} d \,e^{2} f x +2 b^{2} d \,e^{2} g +b^{2} e^{3} f +2 b c \,d^{2} e g -8 b c d \,e^{2} f -4 c^{2} d^{3} g +4 c^{2} d^{2} e f \right)}{3 \left(b^{3} e^{3}-6 b^{2} c d \,e^{2}+12 b \,c^{2} d^{2} e -8 c^{3} d^{3}\right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} e^{2}}"," ",0,"-2/3*(c*e*x+b*e-c*d)*(6*b*c*e^3*g*x^2-4*c^2*d*e^2*g*x^2-8*c^2*e^3*f*x^2+3*b^2*e^3*g*x+4*b*c*d*e^2*g*x-4*b*c*e^3*f*x-4*c^2*d^2*e*g*x-8*c^2*d*e^2*f*x+2*b^2*d*e^2*g+b^2*e^3*f+2*b*c*d^2*e*g-8*b*c*d*e^2*f-4*c^2*d^3*g+4*c^2*d^2*e*f)/(b^3*e^3-6*b^2*c*d*e^2+12*b*c^2*d^2*e-8*c^3*d^3)/e^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)","A"
2221,1,382,197,0.056000," ","int((g*x+f)/(e*x+d)^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x)","-\frac{2 \left(c e x +b e -c d \right) \left(-40 b \,c^{2} e^{4} g \,x^{3}+32 c^{3} d \,e^{3} g \,x^{3}+48 c^{3} e^{4} f \,x^{3}-20 b^{2} c \,e^{4} g \,x^{2}-64 b \,c^{2} d \,e^{3} g \,x^{2}+24 b \,c^{2} e^{4} f \,x^{2}+64 c^{3} d^{2} e^{2} g \,x^{2}+96 c^{3} d \,e^{3} f \,x^{2}+5 b^{3} e^{4} g x -64 b^{2} c d \,e^{3} g x -6 b^{2} c \,e^{4} f x +28 b \,c^{2} d^{2} e^{2} g x +72 b \,c^{2} d \,e^{3} f x +16 c^{3} d^{3} e g x +24 c^{3} d^{2} e^{2} f x +2 b^{3} d \,e^{3} g +3 b^{3} e^{4} f -26 b^{2} c \,d^{2} e^{2} g -24 b^{2} c d \,e^{3} f +16 b \,c^{2} d^{3} e g +84 b \,c^{2} d^{2} e^{2} f +8 c^{3} d^{4} g -48 c^{3} d^{3} e f \right)}{15 \left(e x +d \right) \left(b^{4} e^{4}-8 b^{3} c d \,e^{3}+24 b^{2} c^{2} d^{2} e^{2}-32 b \,c^{3} d^{3} e +16 c^{4} d^{4}\right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} e^{2}}"," ",0,"-2/15*(c*e*x+b*e-c*d)*(-40*b*c^2*e^4*g*x^3+32*c^3*d*e^3*g*x^3+48*c^3*e^4*f*x^3-20*b^2*c*e^4*g*x^2-64*b*c^2*d*e^3*g*x^2+24*b*c^2*e^4*f*x^2+64*c^3*d^2*e^2*g*x^2+96*c^3*d*e^3*f*x^2+5*b^3*e^4*g*x-64*b^2*c*d*e^3*g*x-6*b^2*c*e^4*f*x+28*b*c^2*d^2*e^2*g*x+72*b*c^2*d*e^3*f*x+16*c^3*d^3*e*g*x+24*c^3*d^2*e^2*f*x+2*b^3*d*e^3*g+3*b^3*e^4*f-26*b^2*c*d^2*e^2*g-24*b^2*c*d*e^3*f+16*b*c^2*d^3*e*g+84*b*c^2*d^2*e^2*f+8*c^3*d^4*g-48*c^3*d^3*e*f)/(e*x+d)/e^2/(b^4*e^4-8*b^3*c*d*e^3+24*b^2*c^2*d^2*e^2-32*b*c^3*d^3*e+16*c^4*d^4)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)","A"
2222,1,564,268,0.056000," ","int((g*x+f)/(e*x+d)^3/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x)","-\frac{2 \left(c e x +b e -c d \right) \left(112 b \,c^{3} e^{5} g \,x^{4}-96 c^{4} d \,e^{4} g \,x^{4}-128 c^{4} e^{5} f \,x^{4}+56 b^{2} c^{2} e^{5} g \,x^{3}+288 b \,c^{3} d \,e^{4} g \,x^{3}-64 b \,c^{3} e^{5} f \,x^{3}-288 c^{4} d^{2} e^{3} g \,x^{3}-384 c^{4} d \,e^{4} f \,x^{3}-14 b^{3} c \,e^{5} g \,x^{2}+236 b^{2} c^{2} d \,e^{4} g \,x^{2}+16 b^{2} c^{2} e^{5} f \,x^{2}+88 b \,c^{3} d^{2} e^{3} g \,x^{2}-256 b \,c^{3} d \,e^{4} f \,x^{2}-240 c^{4} d^{3} e^{2} g \,x^{2}-320 c^{4} d^{2} e^{3} f \,x^{2}+7 b^{4} e^{5} g x -76 b^{3} c d \,e^{4} g x -8 b^{3} c \,e^{5} f x +424 b^{2} c^{2} d^{2} e^{3} g x +80 b^{2} c^{2} d \,e^{4} f x -368 b \,c^{3} d^{3} e^{2} g x -416 b \,c^{3} d^{2} e^{3} f x +48 c^{4} d^{4} e g x +64 c^{4} d^{3} e^{2} f x +2 b^{4} d \,e^{4} g +5 b^{4} e^{5} f -22 b^{3} c \,d^{2} e^{3} g -48 b^{3} c d \,e^{4} f +124 b^{2} c^{2} d^{3} e^{2} g +184 b^{2} c^{2} d^{2} e^{3} f -120 b \,c^{3} d^{4} e g -384 b \,c^{3} d^{3} e^{2} f +16 c^{4} d^{5} g +208 c^{4} d^{4} e f \right)}{35 \left(e x +d \right)^{2} \left(b^{5} e^{5}-10 b^{4} c d \,e^{4}+40 b^{3} c^{2} d^{2} e^{3}-80 b^{2} c^{3} d^{3} e^{2}+80 b \,c^{4} d^{4} e -32 c^{5} d^{5}\right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} e^{2}}"," ",0,"-2/35*(c*e*x+b*e-c*d)*(112*b*c^3*e^5*g*x^4-96*c^4*d*e^4*g*x^4-128*c^4*e^5*f*x^4+56*b^2*c^2*e^5*g*x^3+288*b*c^3*d*e^4*g*x^3-64*b*c^3*e^5*f*x^3-288*c^4*d^2*e^3*g*x^3-384*c^4*d*e^4*f*x^3-14*b^3*c*e^5*g*x^2+236*b^2*c^2*d*e^4*g*x^2+16*b^2*c^2*e^5*f*x^2+88*b*c^3*d^2*e^3*g*x^2-256*b*c^3*d*e^4*f*x^2-240*c^4*d^3*e^2*g*x^2-320*c^4*d^2*e^3*f*x^2+7*b^4*e^5*g*x-76*b^3*c*d*e^4*g*x-8*b^3*c*e^5*f*x+424*b^2*c^2*d^2*e^3*g*x+80*b^2*c^2*d*e^4*f*x-368*b*c^3*d^3*e^2*g*x-416*b*c^3*d^2*e^3*f*x+48*c^4*d^4*e*g*x+64*c^4*d^3*e^2*f*x+2*b^4*d*e^4*g+5*b^4*e^5*f-22*b^3*c*d^2*e^3*g-48*b^3*c*d*e^4*f+124*b^2*c^2*d^3*e^2*g+184*b^2*c^2*d^2*e^3*f-120*b*c^3*d^4*e*g-384*b*c^3*d^3*e^2*f+16*c^4*d^5*g+208*c^4*d^4*e*f)/(e*x+d)^2/(b^5*e^5-10*b^4*c*d*e^4+40*b^3*c^2*d^2*e^3-80*b^2*c^3*d^3*e^2+80*b*c^4*d^4*e-32*c^5*d^5)/e^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)","B"
2223,1,6704,338,0.094000," ","int((e*x+d)^5*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
2224,1,5032,271,0.078000," ","int((e*x+d)^4*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
2225,1,3485,163,0.076000," ","int((e*x+d)^3*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","\text{output too large to display}"," ",0,"8*b*c*e^5/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^2*f+104/3*b*c*e^4/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^3*g+6*e^6*g*b^3/c/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d+1/2*b^2/c*e^4/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*d*f-3/4*e^4*g*b^3/c^2/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*d+3*e^3*g*b^2/c/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*d^2+1/3*e*g*x^3/c/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)+1/48*e*g*b^3/c^4/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)-1/12*b^3/c^2/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*e^5*x*f-11/24*g*b^2/c^3/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d-1/e*g/c^2*x/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)+1/2/e*g/c^3*b/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)+3/2*x/c/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d*f+1/e*g/c^2/(c*e^2)^(1/2)*arctan((c*e^2)^(1/2)*(x+1/2*b/c)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2))+3/4*b/c^2*x/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d*g+3/2*x/c/e/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^2*g+1/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b*d^4*e*g+1/3/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b*d^3*e^2*f-1/6*e^7*g*b^5/c^3/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)-1/2*e*g*b/c^2*x^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)+1/2*e^3*g/c^3*b^3/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)+25/12/e*g*b/c^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^2-1/8*e*g*b^2/c^3*x/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)+1/48*e^5*g*b^5/c^4/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)+52/3*b^2*e^4/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^3*g+4*b^2*e^5/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2*f+1/4*b/c^2*x*e/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*f-1/24*b^4/c^3/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*e^5*f+1/3*b^4/c^2*e^7/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*f-1/24*b^2/c^3*e/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*f-5/3/e^2/c/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^3*g+1/3/e/c/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^2*f+3*x^2/c/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d*g+5/12/c^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*b*d*f+x^2/c*e/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*f+2/3*b^3/c*e^7/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*f+1/4*b^3/c^2*e^4/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d*f-4*b^2*e^6/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d*f-24*e^5*g*b^2/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^2+e^3*g/c^2*b^2/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x+3/2*e^3*g*b^3/c^2/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^2-8*e^3*c/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d^4*g-2*b^3/c*e^6/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d*f-12*e^5*g*b^3/c/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d^2-1/3*e^7*g*b^4/c^2/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x-3/8*e^4*g*b^4/c^3/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d+3*e^6*g*b^4/c^2/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*d+1/24*e^5*g*b^4/c^3/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x-13/6*b^2/c/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^3*e^2*g-1/2*b^2/c/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*d^2*e^3*f-13/3*b/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*d^3*e^2*g-b/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*d^2*e^3*f-8/3*e^4*c/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*b*d^3*f+2*c/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*d^4*e*g+2/3*c/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)*x*d^3*e^2*f-16*e^3*c^2/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^4*g-16/3*e^4*c^2/(-b^2*e^4+4*b*c*d*e^3-4*c^2*d^2*e^2)^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*x*d^3*f","B"
2226,1,128,138,0.048000," ","int((e*x+d)^2*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","-\frac{2 \left(e x +d \right)^{3} \left(c e x +b e -c d \right) \left(-b \,e^{2} g x +4 c d e g x -2 c \,e^{2} f x +2 b d e g -3 b \,e^{2} f -2 c \,d^{2} g +4 c d e f \right)}{3 \left(b^{2} e^{2}-4 b c d e +4 c^{2} d^{2}\right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}} e^{2}}"," ",0,"-2/3*(e*x+d)^3*(c*e*x+b*e-c*d)*(-b*e^2*g*x+4*c*d*e*g*x-2*c*e^2*f*x+2*b*d*e*g-3*b*e^2*f-2*c*d^2*g+4*c*d*e*f)/e^2/(b^2*e^2-4*b*c*d*e+4*c^2*d^2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)","A"
2227,1,227,157,0.059000," ","int((e*x+d)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","\frac{2 \left(e x +d \right)^{2} \left(c e x +b e -c d \right) \left(2 b c \,e^{3} g \,x^{2}+4 c^{2} d \,e^{2} g \,x^{2}-8 c^{2} e^{3} f \,x^{2}+3 b^{2} e^{3} g x +4 b c d \,e^{2} g x -12 b c \,e^{3} f x -4 c^{2} d^{2} e g x +8 c^{2} d \,e^{2} f x +6 b^{2} d \,e^{2} g -3 b^{2} e^{3} f -10 b c \,d^{2} e g +4 c^{2} d^{3} g +4 c^{2} d^{2} e f \right)}{3 \left(b^{3} e^{3}-6 b^{2} c d \,e^{2}+12 b \,c^{2} d^{2} e -8 c^{3} d^{3}\right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}} e^{2}}"," ",0,"2/3*(e*x+d)^2*(c*e*x+b*e-c*d)*(2*b*c*e^3*g*x^2+4*c^2*d*e^2*g*x^2-8*c^2*e^3*f*x^2+3*b^2*e^3*g*x+4*b*c*d*e^2*g*x-12*b*c*e^3*f*x-4*c^2*d^2*e*g*x+8*c^2*d*e^2*f*x+6*b^2*d*e^2*g-3*b^2*e^3*f-10*b*c*d^2*e*g+4*c^2*d^3*g+4*c^2*d^2*e*f)/(b^3*e^3-6*b^2*c*d*e^2+12*b*c^2*d^2*e-8*c^3*d^3)/e^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)","A"
2228,1,557,196,0.060000," ","int((g*x+f)/(e*x+d)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","-\frac{2 \left(c e x +b e -c d \right) \left(-80 b \,c^{3} e^{5} g \,x^{4}+32 c^{4} d \,e^{4} g \,x^{4}+128 c^{4} e^{5} f \,x^{4}-120 b^{2} c^{2} e^{5} g \,x^{3}-32 b \,c^{3} d \,e^{4} g \,x^{3}+192 b \,c^{3} e^{5} f \,x^{3}+32 c^{4} d^{2} e^{3} g \,x^{3}+128 c^{4} d \,e^{4} f \,x^{3}-30 b^{3} c \,e^{5} g \,x^{2}-228 b^{2} c^{2} d \,e^{4} g \,x^{2}+48 b^{2} c^{2} e^{5} f \,x^{2}+216 b \,c^{3} d^{2} e^{3} g \,x^{2}+384 b \,c^{3} d \,e^{4} f \,x^{2}-48 c^{4} d^{3} e^{2} g \,x^{2}-192 c^{4} d^{2} e^{3} f \,x^{2}+5 b^{4} e^{5} g x -92 b^{3} c d \,e^{4} g x -8 b^{3} c \,e^{5} f x -24 b^{2} c^{2} d^{2} e^{3} g x +144 b^{2} c^{2} d \,e^{4} f x +144 b \,c^{3} d^{3} e^{2} g x +96 b \,c^{3} d^{2} e^{3} f x -48 c^{4} d^{4} e g x -192 c^{4} d^{3} e^{2} f x +2 b^{4} d \,e^{4} g +3 b^{4} e^{5} f -38 b^{3} c \,d^{2} e^{3} g -32 b^{3} c d \,e^{4} f +12 b^{2} c^{2} d^{3} e^{2} g +168 b^{2} c^{2} d^{2} e^{3} f +72 b \,c^{3} d^{4} e g -192 b \,c^{3} d^{3} e^{2} f -48 c^{4} d^{5} g +48 c^{4} d^{4} e f \right)}{15 \left(b^{5} e^{5}-10 b^{4} c d \,e^{4}+40 b^{3} c^{2} d^{2} e^{3}-80 b^{2} c^{3} d^{3} e^{2}+80 b \,c^{4} d^{4} e -32 c^{5} d^{5}\right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}} e^{2}}"," ",0,"-2/15*(c*e*x+b*e-c*d)*(-80*b*c^3*e^5*g*x^4+32*c^4*d*e^4*g*x^4+128*c^4*e^5*f*x^4-120*b^2*c^2*e^5*g*x^3-32*b*c^3*d*e^4*g*x^3+192*b*c^3*e^5*f*x^3+32*c^4*d^2*e^3*g*x^3+128*c^4*d*e^4*f*x^3-30*b^3*c*e^5*g*x^2-228*b^2*c^2*d*e^4*g*x^2+48*b^2*c^2*e^5*f*x^2+216*b*c^3*d^2*e^3*g*x^2+384*b*c^3*d*e^4*f*x^2-48*c^4*d^3*e^2*g*x^2-192*c^4*d^2*e^3*f*x^2+5*b^4*e^5*g*x-92*b^3*c*d*e^4*g*x-8*b^3*c*e^5*f*x-24*b^2*c^2*d^2*e^3*g*x+144*b^2*c^2*d*e^4*f*x+144*b*c^3*d^3*e^2*g*x+96*b*c^3*d^2*e^3*f*x-48*c^4*d^4*e*g*x-192*c^4*d^3*e^2*f*x+2*b^4*d*e^4*g+3*b^4*e^5*f-38*b^3*c*d^2*e^3*g-32*b^3*c*d*e^4*f+12*b^2*c^2*d^3*e^2*g+168*b^2*c^2*d^2*e^3*f+72*b*c^3*d^4*e*g-192*b*c^3*d^3*e^2*f-48*c^4*d^5*g+48*c^4*d^4*e*f)/(b^5*e^5-10*b^4*c*d*e^4+40*b^3*c^2*d^2*e^3-80*b^2*c^3*d^3*e^2+80*b*c^4*d^4*e-32*c^5*d^5)/e^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)","B"
2229,1,782,267,0.052000," ","int((g*x+f)/(e*x+d)^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","-\frac{2 \left(c e x +b e -c d \right) \left(896 b \,c^{4} e^{6} g \,x^{5}-512 c^{5} d \,e^{5} g \,x^{5}-1280 c^{5} e^{6} f \,x^{5}+1344 b^{2} c^{3} e^{6} g \,x^{4}+1024 b \,c^{4} d \,e^{5} g \,x^{4}-1920 b \,c^{4} e^{6} f \,x^{4}-1024 c^{5} d^{2} e^{4} g \,x^{4}-2560 c^{5} d \,e^{5} f \,x^{4}+336 b^{3} c^{2} e^{6} g \,x^{3}+3840 b^{2} c^{3} d \,e^{5} g \,x^{3}-480 b^{2} c^{3} e^{6} f \,x^{3}-2752 b \,c^{4} d^{2} e^{4} g \,x^{3}-5760 b \,c^{4} d \,e^{5} f \,x^{3}+256 c^{5} d^{3} e^{3} g \,x^{3}+640 c^{5} d^{2} e^{4} f \,x^{3}-56 b^{4} c \,e^{6} g \,x^{2}+1376 b^{3} c^{2} d \,e^{5} g \,x^{2}+80 b^{3} c^{2} e^{6} f \,x^{2}+2592 b^{2} c^{3} d^{2} e^{4} g \,x^{2}-1920 b^{2} c^{3} d \,e^{5} f \,x^{2}-4608 b \,c^{4} d^{3} e^{3} g \,x^{2}-4800 b \,c^{4} d^{2} e^{4} f \,x^{2}+1536 c^{5} d^{4} e^{2} g \,x^{2}+3840 c^{5} d^{3} e^{3} f \,x^{2}+21 b^{5} e^{6} g x -292 b^{4} c d \,e^{5} g x -30 b^{4} c \,e^{6} f x +2344 b^{3} c^{2} d^{2} e^{4} g x +400 b^{3} c^{2} d \,e^{5} f x -1920 b^{2} c^{3} d^{3} e^{3} g x -3120 b^{2} c^{3} d^{2} e^{4} f x -624 b \,c^{4} d^{4} e^{2} g x +960 b \,c^{4} d^{3} e^{3} f x +576 c^{5} d^{5} e g x +1440 c^{5} d^{4} e^{2} f x +6 b^{5} d \,e^{5} g +15 b^{5} e^{6} f -86 b^{4} c \,d^{2} e^{4} g -180 b^{4} c d \,e^{5} f +704 b^{3} c^{2} d^{3} e^{3} g +920 b^{3} c^{2} d^{2} e^{4} f -816 b^{2} c^{3} d^{4} e^{2} g -2880 b^{2} c^{3} d^{3} e^{3} f -96 b \,c^{4} d^{5} e g +3120 b \,c^{4} d^{4} e^{2} f +288 c^{5} d^{6} g -960 c^{5} d^{5} e f \right)}{105 \left(e x +d \right) \left(b^{6} e^{6}-12 b^{5} c d \,e^{5}+60 b^{4} c^{2} d^{2} e^{4}-160 b^{3} c^{3} d^{3} e^{3}+240 b^{2} c^{4} d^{4} e^{2}-192 b \,c^{5} d^{5} e +64 c^{6} d^{6}\right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}} e^{2}}"," ",0,"-2/105*(c*e*x+b*e-c*d)*(896*b*c^4*e^6*g*x^5-512*c^5*d*e^5*g*x^5-1280*c^5*e^6*f*x^5+1344*b^2*c^3*e^6*g*x^4+1024*b*c^4*d*e^5*g*x^4-1920*b*c^4*e^6*f*x^4-1024*c^5*d^2*e^4*g*x^4-2560*c^5*d*e^5*f*x^4+336*b^3*c^2*e^6*g*x^3+3840*b^2*c^3*d*e^5*g*x^3-480*b^2*c^3*e^6*f*x^3-2752*b*c^4*d^2*e^4*g*x^3-5760*b*c^4*d*e^5*f*x^3+256*c^5*d^3*e^3*g*x^3+640*c^5*d^2*e^4*f*x^3-56*b^4*c*e^6*g*x^2+1376*b^3*c^2*d*e^5*g*x^2+80*b^3*c^2*e^6*f*x^2+2592*b^2*c^3*d^2*e^4*g*x^2-1920*b^2*c^3*d*e^5*f*x^2-4608*b*c^4*d^3*e^3*g*x^2-4800*b*c^4*d^2*e^4*f*x^2+1536*c^5*d^4*e^2*g*x^2+3840*c^5*d^3*e^3*f*x^2+21*b^5*e^6*g*x-292*b^4*c*d*e^5*g*x-30*b^4*c*e^6*f*x+2344*b^3*c^2*d^2*e^4*g*x+400*b^3*c^2*d*e^5*f*x-1920*b^2*c^3*d^3*e^3*g*x-3120*b^2*c^3*d^2*e^4*f*x-624*b*c^4*d^4*e^2*g*x+960*b*c^4*d^3*e^3*f*x+576*c^5*d^5*e*g*x+1440*c^5*d^4*e^2*f*x+6*b^5*d*e^5*g+15*b^5*e^6*f-86*b^4*c*d^2*e^4*g-180*b^4*c*d*e^5*f+704*b^3*c^2*d^3*e^3*g+920*b^3*c^2*d^2*e^4*f-816*b^2*c^3*d^4*e^2*g-2880*b^2*c^3*d^3*e^3*f-96*b*c^4*d^5*e*g+3120*b*c^4*d^4*e^2*f+288*c^5*d^6*g-960*c^5*d^5*e*f)/(e*x+d)/(b^6*e^6-12*b^5*c*d*e^5+60*b^4*c^2*d^2*e^4-160*b^3*c^3*d^3*e^3+240*b^2*c^4*d^4*e^2-192*b*c^5*d^5*e+64*c^6*d^6)/e^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)","B"
2230,1,1036,338,0.058000," ","int((g*x+f)/(e*x+d)^3/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","-\frac{2 \left(c e x +b e -c d \right) \left(-768 b \,c^{5} e^{7} g \,x^{6}+512 c^{6} d \,e^{6} g \,x^{6}+1024 c^{6} e^{7} f \,x^{6}-1152 b^{2} c^{4} e^{7} g \,x^{5}-1536 b \,c^{5} d \,e^{6} g \,x^{5}+1536 b \,c^{5} e^{7} f \,x^{5}+1536 c^{6} d^{2} e^{5} g \,x^{5}+3072 c^{6} d \,e^{6} f \,x^{5}-288 b^{3} c^{3} e^{7} g \,x^{4}-4416 b^{2} c^{4} d \,e^{6} g \,x^{4}+384 b^{2} c^{4} e^{7} f \,x^{4}+1920 b \,c^{5} d^{2} e^{5} g \,x^{4}+6144 b \,c^{5} d \,e^{6} f \,x^{4}+768 c^{6} d^{3} e^{4} g \,x^{4}+1536 c^{6} d^{2} e^{5} f \,x^{4}+48 b^{4} c^{2} e^{7} g \,x^{3}-1472 b^{3} c^{3} d \,e^{6} g \,x^{3}-64 b^{3} c^{3} e^{7} f \,x^{3}-5376 b^{2} c^{4} d^{2} e^{5} g \,x^{3}+1920 b^{2} c^{4} d \,e^{6} f \,x^{3}+6912 b \,c^{5} d^{3} e^{4} g \,x^{3}+8448 b \,c^{5} d^{2} e^{5} f \,x^{3}-1792 c^{6} d^{4} e^{3} g \,x^{3}-3584 c^{6} d^{3} e^{4} f \,x^{3}-18 b^{5} c \,e^{7} g \,x^{2}+300 b^{4} c^{2} d \,e^{6} g \,x^{2}+24 b^{4} c^{2} e^{7} f \,x^{2}-3216 b^{3} c^{3} d^{2} e^{5} g \,x^{2}-384 b^{3} c^{3} d \,e^{6} f \,x^{2}-288 b^{2} c^{4} d^{3} e^{4} g \,x^{2}+4032 b^{2} c^{4} d^{2} e^{5} f \,x^{2}+4704 b \,c^{5} d^{4} e^{3} g \,x^{2}+3072 b \,c^{5} d^{3} e^{4} f \,x^{2}-2112 c^{6} d^{5} e^{2} g \,x^{2}-4224 c^{6} d^{4} e^{3} f \,x^{2}+9 b^{6} e^{7} g x -132 b^{5} c d \,e^{6} g x -12 b^{5} c \,e^{7} f x +876 b^{4} c^{2} d^{2} e^{5} g x +168 b^{4} c^{2} d \,e^{6} f x -4128 b^{3} c^{3} d^{3} e^{4} g x -1056 b^{3} c^{3} d^{2} e^{5} f x +4848 b^{2} c^{4} d^{4} e^{3} g x +4800 b^{2} c^{4} d^{3} e^{4} f x -1344 b \,c^{5} d^{5} e^{2} g x -3264 b \,c^{5} d^{4} e^{3} f x -192 c^{6} d^{6} e g x -384 c^{6} d^{5} e^{2} f x +2 b^{6} d \,e^{6} g +7 b^{6} e^{7} f -30 b^{5} c \,d^{2} e^{5} g -96 b^{5} c d \,e^{6} f +204 b^{4} c^{2} d^{3} e^{4} g +564 b^{4} c^{2} d^{2} e^{5} f -976 b^{3} c^{3} d^{4} e^{3} g -1856 b^{3} c^{3} d^{3} e^{4} f +1344 b^{2} c^{4} d^{5} e^{2} g +3984 b^{2} c^{4} d^{4} e^{3} f -480 b \,c^{5} d^{6} e g -3840 b \,c^{5} d^{5} e^{2} f -64 c^{6} d^{7} g +1216 c^{6} d^{6} e f \right)}{63 \left(e x +d \right)^{2} \left(b^{7} e^{7}-14 b^{6} c d \,e^{6}+84 b^{5} c^{2} d^{2} e^{5}-280 b^{4} c^{3} d^{3} e^{4}+560 b^{3} c^{4} d^{4} e^{3}-672 b^{2} c^{5} d^{5} e^{2}+448 b \,c^{6} d^{6} e -128 c^{7} d^{7}\right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}} e^{2}}"," ",0,"-2/63*(c*e*x+b*e-c*d)*(-768*b*c^5*e^7*g*x^6+512*c^6*d*e^6*g*x^6+1024*c^6*e^7*f*x^6-1152*b^2*c^4*e^7*g*x^5-1536*b*c^5*d*e^6*g*x^5+1536*b*c^5*e^7*f*x^5+1536*c^6*d^2*e^5*g*x^5+3072*c^6*d*e^6*f*x^5-288*b^3*c^3*e^7*g*x^4-4416*b^2*c^4*d*e^6*g*x^4+384*b^2*c^4*e^7*f*x^4+1920*b*c^5*d^2*e^5*g*x^4+6144*b*c^5*d*e^6*f*x^4+768*c^6*d^3*e^4*g*x^4+1536*c^6*d^2*e^5*f*x^4+48*b^4*c^2*e^7*g*x^3-1472*b^3*c^3*d*e^6*g*x^3-64*b^3*c^3*e^7*f*x^3-5376*b^2*c^4*d^2*e^5*g*x^3+1920*b^2*c^4*d*e^6*f*x^3+6912*b*c^5*d^3*e^4*g*x^3+8448*b*c^5*d^2*e^5*f*x^3-1792*c^6*d^4*e^3*g*x^3-3584*c^6*d^3*e^4*f*x^3-18*b^5*c*e^7*g*x^2+300*b^4*c^2*d*e^6*g*x^2+24*b^4*c^2*e^7*f*x^2-3216*b^3*c^3*d^2*e^5*g*x^2-384*b^3*c^3*d*e^6*f*x^2-288*b^2*c^4*d^3*e^4*g*x^2+4032*b^2*c^4*d^2*e^5*f*x^2+4704*b*c^5*d^4*e^3*g*x^2+3072*b*c^5*d^3*e^4*f*x^2-2112*c^6*d^5*e^2*g*x^2-4224*c^6*d^4*e^3*f*x^2+9*b^6*e^7*g*x-132*b^5*c*d*e^6*g*x-12*b^5*c*e^7*f*x+876*b^4*c^2*d^2*e^5*g*x+168*b^4*c^2*d*e^6*f*x-4128*b^3*c^3*d^3*e^4*g*x-1056*b^3*c^3*d^2*e^5*f*x+4848*b^2*c^4*d^4*e^3*g*x+4800*b^2*c^4*d^3*e^4*f*x-1344*b*c^5*d^5*e^2*g*x-3264*b*c^5*d^4*e^3*f*x-192*c^6*d^6*e*g*x-384*c^6*d^5*e^2*f*x+2*b^6*d*e^6*g+7*b^6*e^7*f-30*b^5*c*d^2*e^5*g-96*b^5*c*d*e^6*f+204*b^4*c^2*d^3*e^4*g+564*b^4*c^2*d^2*e^5*f-976*b^3*c^3*d^4*e^3*g-1856*b^3*c^3*d^3*e^4*f+1344*b^2*c^4*d^5*e^2*g+3984*b^2*c^4*d^4*e^3*f-480*b*c^5*d^6*e*g-3840*b*c^5*d^5*e^2*f-64*c^6*d^7*g+1216*c^6*d^6*e*f)/(e*x+d)^2/(b^7*e^7-14*b^6*c*d*e^6+84*b^5*c^2*d^2*e^5-280*b^4*c^3*d^3*e^4+560*b^3*c^4*d^4*e^3-672*b^2*c^5*d^5*e^2+448*b*c^6*d^6*e-128*c^7*d^7)/e^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)","B"
2231,1,367,317,0.046000," ","int((e*x+d)^(5/2)*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x)","\frac{2 \left(c e x +b e -c d \right) \left(315 g \,e^{4} x^{4} c^{4}-280 b \,c^{3} e^{4} g \,x^{3}+1435 c^{4} d \,e^{3} g \,x^{3}+385 c^{4} e^{4} f \,x^{3}+240 b^{2} c^{2} e^{4} g \,x^{2}-1470 b \,c^{3} d \,e^{3} g \,x^{2}-330 b \,c^{3} e^{4} f \,x^{2}+2715 c^{4} d^{2} e^{2} g \,x^{2}+1815 c^{4} d \,e^{3} f \,x^{2}-192 b^{3} c \,e^{4} g x +1368 b^{2} c^{2} d \,e^{3} g x +264 b^{2} c^{2} e^{4} f x -3348 b \,c^{3} d^{2} e^{2} g x -1716 b \,c^{3} d \,e^{3} f x +2865 c^{4} d^{3} e g x +3531 c^{4} d^{2} e^{2} f x +128 b^{4} e^{4} g -1040 b^{3} c d \,e^{3} g -176 b^{3} c \,e^{4} f +3144 b^{2} c^{2} d^{2} e^{2} g +1320 b^{2} c^{2} d \,e^{3} f -4142 b \,c^{3} d^{3} e g -3498 b \,c^{3} d^{2} e^{2} f +1910 c^{4} d^{4} g +3509 f \,d^{3} c^{4} e \right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}{3465 \sqrt{e x +d}\, c^{5} e^{2}}"," ",0,"2/3465*(c*e*x+b*e-c*d)*(315*c^4*e^4*g*x^4-280*b*c^3*e^4*g*x^3+1435*c^4*d*e^3*g*x^3+385*c^4*e^4*f*x^3+240*b^2*c^2*e^4*g*x^2-1470*b*c^3*d*e^3*g*x^2-330*b*c^3*e^4*f*x^2+2715*c^4*d^2*e^2*g*x^2+1815*c^4*d*e^3*f*x^2-192*b^3*c*e^4*g*x+1368*b^2*c^2*d*e^3*g*x+264*b^2*c^2*e^4*f*x-3348*b*c^3*d^2*e^2*g*x-1716*b*c^3*d*e^3*f*x+2865*c^4*d^3*e*g*x+3531*c^4*d^2*e^2*f*x+128*b^4*e^4*g-1040*b^3*c*d*e^3*g-176*b^3*c*e^4*f+3144*b^2*c^2*d^2*e^2*g+1320*b^2*c^2*d*e^3*f-4142*b*c^3*d^3*e*g-3498*b*c^3*d^2*e^2*f+1910*c^4*d^4*g+3509*c^4*d^3*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/c^5/e^2/(e*x+d)^(1/2)","A"
2232,1,235,243,0.048000," ","int((e*x+d)^(3/2)*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x)","-\frac{2 \left(c e x +b e -c d \right) \left(-35 g \,e^{3} x^{3} c^{3}+30 b \,c^{2} e^{3} g \,x^{2}-120 c^{3} d \,e^{2} g \,x^{2}-45 c^{3} e^{3} f \,x^{2}-24 b^{2} c \,e^{3} g x +120 b \,c^{2} d \,e^{2} g x +36 b \,c^{2} e^{3} f x -159 c^{3} d^{2} e g x -162 c^{3} d \,e^{2} f x +16 b^{3} e^{3} g -96 b^{2} c d \,e^{2} g -24 b^{2} c \,e^{3} f +186 b \,c^{2} d^{2} e g +132 b \,c^{2} d \,e^{2} f -106 c^{3} d^{3} g -213 f \,d^{2} c^{3} e \right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}{315 \sqrt{e x +d}\, c^{4} e^{2}}"," ",0,"-2/315*(c*e*x+b*e-c*d)*(-35*c^3*e^3*g*x^3+30*b*c^2*e^3*g*x^2-120*c^3*d*e^2*g*x^2-45*c^3*e^3*f*x^2-24*b^2*c*e^3*g*x+120*b*c^2*d*e^2*g*x+36*b*c^2*e^3*f*x-159*c^3*d^2*e*g*x-162*c^3*d*e^2*f*x+16*b^3*e^3*g-96*b^2*c*d*e^2*g-24*b^2*c*e^3*f+186*b*c^2*d^2*e*g+132*b*c^2*d*e^2*f-106*c^3*d^3*g-213*c^3*d^2*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/c^4/e^2/(e*x+d)^(1/2)","A"
2233,1,139,173,0.043000," ","int((e*x+d)^(1/2)*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x)","\frac{2 \left(c e x +b e -c d \right) \left(15 g \,x^{2} c^{2} e^{2}-12 b c \,e^{2} g x +33 c^{2} d e g x +21 c^{2} e^{2} f x +8 b^{2} e^{2} g -30 b c d e g -14 b c \,e^{2} f +22 c^{2} d^{2} g +49 c^{2} d e f \right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}{105 \sqrt{e x +d}\, c^{3} e^{2}}"," ",0,"2/105*(c*e*x+b*e-c*d)*(15*c^2*e^2*g*x^2-12*b*c*e^2*g*x+33*c^2*d*e*g*x+21*c^2*e^2*f*x+8*b^2*e^2*g-30*b*c*d*e*g-14*b*c*e^2*f+22*c^2*d^2*g+49*c^2*d*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/c^3/e^2/(e*x+d)^(1/2)","A"
2234,1,79,106,0.043000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d)^(1/2),x)","-\frac{2 \left(c e x +b e -c d \right) \left(-3 c e g x +2 b e g -2 c d g -5 c e f \right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}{15 \sqrt{e x +d}\, c^{2} e^{2}}"," ",0,"-2/15*(c*e*x+b*e-c*d)*(-3*c*e*g*x+2*b*e*g-2*c*d*g-5*c*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/c^2/e^2/(e*x+d)^(1/2)","A"
2235,1,330,168,0.089000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d)^(3/2),x)","\frac{2 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, \left(3 b c d e g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-3 b c \,e^{2} f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-6 c^{2} d^{2} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+6 c^{2} d e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+\sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c e g x +\sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b e g -4 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c d g +3 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c e f \right)}{3 \sqrt{e x +d}\, \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c \,e^{2}}"," ",0,"2/3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*(3*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b*c*d*e*g-3*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b*c*e^2*f-6*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c^2*d^2*g+6*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c^2*d*e*f+x*c*e*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+b*e*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-4*c*d*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+3*c*e*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2))/(e*x+d)^(1/2)/(-c*e*x-b*e+c*d)^(1/2)/c/e^2/(b*e-2*c*d)^(1/2)","A"
2236,1,359,207,0.068000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d)^(5/2),x)","\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, \left(-2 b \,e^{2} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+5 c d e g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-c \,e^{2} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-2 b d e g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+5 c \,d^{2} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-c d e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+2 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, e g x +3 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, d g -\sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, e f \right)}{\left(e x +d \right)^{\frac{3}{2}} \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, e^{2}}"," ",0,"(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d)^(3/2)*(-2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*b*e^2*g+5*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*c*d*e*g-arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*c*e^2*f+2*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)*x*e*g-2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b*d*e*g+5*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c*d^2*g-arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c*d*e*f+3*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)*d*g-(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)*e*f)/(-c*e*x-b*e+c*d)^(1/2)/e^2/(b*e-2*c*d)^(1/2)","A"
2237,1,630,209,0.075000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d)^(7/2),x)","-\frac{\left(4 b c \,e^{3} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-7 c^{2} d \,e^{2} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-c^{2} e^{3} f \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+8 b c d \,e^{2} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-14 c^{2} d^{2} e g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-2 c^{2} d \,e^{2} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+4 b c \,d^{2} e g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-7 c^{2} d^{3} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-c^{2} d^{2} e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+4 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,e^{2} g x -9 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c d e g x +\sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c \,e^{2} f x +2 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b d e g +2 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,e^{2} f -5 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c \,d^{2} g -3 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c d e f \right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}{4 \left(b e -2 c d \right)^{\frac{3}{2}} \sqrt{-c e x -b e +c d}\, \left(e x +d \right)^{\frac{5}{2}} e^{2}}"," ",0,"-1/4*(4*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^2*b*c*e^3*g-7*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^2*c^2*d*e^2*g-arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^2*c^2*e^3*f+8*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*b*c*d*e^2*g-14*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*c^2*d^2*e*g-2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*c^2*d*e^2*f+4*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b*c*d^2*e*g-7*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c^2*d^3*g-arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c^2*d^2*e*f+4*x*b*e^2*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-9*x*c*d*e*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+x*c*e^2*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+2*b*d*e*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+2*b*e^2*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-5*c*d^2*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-3*c*d*e*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2))*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(b*e-2*c*d)^(3/2)/e^2/(-c*e*x-b*e+c*d)^(1/2)/(e*x+d)^(5/2)","B"
2238,1,1033,279,0.108000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d)^(9/2),x)","\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, \left(6 b \,c^{2} e^{4} g \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-9 c^{3} d \,e^{3} g \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-3 c^{3} e^{4} f \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+18 b \,c^{2} d \,e^{3} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-27 c^{3} d^{2} e^{2} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-9 c^{3} d \,e^{3} f \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+18 b \,c^{2} d^{2} e^{2} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-27 c^{3} d^{3} e g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-9 c^{3} d^{2} e^{2} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+6 b \,c^{2} d^{3} e g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-9 c^{3} d^{4} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-3 c^{3} d^{3} e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-6 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c \,e^{3} g \,x^{2}+9 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d \,e^{2} g \,x^{2}+3 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} e^{3} f \,x^{2}-12 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} e^{3} g x +38 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c d \,e^{2} g x -2 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c \,e^{3} f x -34 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d^{2} e g x +10 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d \,e^{2} f x -4 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} d \,e^{2} g -8 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} e^{3} f +12 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c \,d^{2} e g +30 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c d \,e^{2} f -11 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d^{3} g -25 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d^{2} e f \right)}{24 \left(e x +d \right)^{\frac{7}{2}} \left(b e -2 c d \right)^{\frac{5}{2}} \sqrt{-c e x -b e +c d}\, e^{2}}"," ",0,"1/24*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*(-9*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c^3*d^4*g-3*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^3*c^3*e^4*f+38*x*b*c*d*e^2*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-3*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c^3*d^3*e*f-8*b^2*e^3*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-11*c^2*d^3*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-6*x^2*b*c*e^3*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+9*x^2*c^2*d*e^2*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-2*x*b*c*e^3*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-34*x*c^2*d^2*e*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+10*x*c^2*d*e^2*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+12*b*c*d^2*e*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+30*b*c*d*e^2*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+18*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^2*b*c^2*d*e^3*g+18*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*b*c^2*d^2*e^2*g-27*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^2*c^3*d^2*e^2*g-9*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^2*c^3*d*e^3*f-27*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*c^3*d^3*e*g-9*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*c^3*d^2*e^2*f+6*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b*c^2*d^3*e*g+3*x^2*c^2*e^3*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-12*x*b^2*e^3*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-4*b^2*d*e^2*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-25*c^2*d^2*e*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+6*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^3*b*c^2*e^4*g-9*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^3*c^3*d*e^3*g)/(e*x+d)^(7/2)/(b*e-2*c*d)^(5/2)/e^2/(-c*e*x-b*e+c*d)^(1/2)","B"
2239,1,1541,353,0.086000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d)^(11/2),x)","-\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, \left(24 b \,c^{3} e^{5} g \,x^{4} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-33 c^{4} d \,e^{4} g \,x^{4} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-15 c^{4} e^{5} f \,x^{4} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+96 b \,c^{3} d \,e^{4} g \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-132 c^{4} d^{2} e^{3} g \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-60 c^{4} d \,e^{4} f \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+144 b \,c^{3} d^{2} e^{3} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-198 c^{4} d^{3} e^{2} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-90 c^{4} d^{2} e^{3} f \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+96 b \,c^{3} d^{3} e^{2} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-132 c^{4} d^{4} e g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-60 c^{4} d^{3} e^{2} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+24 b \,c^{3} d^{4} e g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-24 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,c^{2} e^{4} g \,x^{3}-33 c^{4} d^{5} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-15 c^{4} d^{4} e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+33 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} d \,e^{3} g \,x^{3}+15 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} e^{4} f \,x^{3}+16 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} c \,e^{4} g \,x^{2}-126 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,c^{2} d \,e^{3} g \,x^{2}-10 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,c^{2} e^{4} f \,x^{2}+143 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} d^{2} e^{2} g \,x^{2}+65 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} d \,e^{3} f \,x^{2}+64 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{3} e^{4} g x -360 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} c d \,e^{3} g x +8 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} c \,e^{4} f x +620 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,c^{2} d^{2} e^{2} g x -52 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,c^{2} d \,e^{3} f x -357 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} d^{3} e g x +117 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} d^{2} e^{2} f x +16 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{3} d \,e^{3} g +48 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{3} e^{4} f -88 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} c \,d^{2} e^{2} g -280 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} c d \,e^{3} f +146 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,c^{2} d^{3} e g +534 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,c^{2} d^{2} e^{2} f -83 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} d^{4} g -317 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} d^{3} e f \right)}{192 \left(e x +d \right)^{\frac{9}{2}} \left(b e -2 c d \right)^{\frac{3}{2}} \left(b^{2} e^{2}-4 b c d e +4 c^{2} d^{2}\right) \sqrt{-c e x -b e +c d}\, e^{2}}"," ",0,"-1/192*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*(-33*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c^4*d^5*g+15*x^3*c^3*e^4*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-126*x^2*b*c^2*d*e^3*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+48*b^3*e^4*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-360*x*b^2*c*d*e^3*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+620*x*b*c^2*d^2*e^2*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-52*x*b*c^2*d*e^3*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-83*c^3*d^4*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-15*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^4*c^4*e^5*f-15*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c^4*d^4*e*f+16*b^3*d*e^3*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-317*c^3*d^3*e*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+24*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^4*b*c^3*e^5*g-33*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^4*c^4*d*e^4*g-132*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^3*c^4*d^2*e^3*g-60*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^3*c^4*d*e^4*f-198*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^2*c^4*d^3*e^2*g-90*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^2*c^4*d^2*e^3*f-132*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*c^4*d^4*e*g-60*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*c^4*d^3*e^2*f+24*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b*c^3*d^4*e*g+64*x*b^3*e^4*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+96*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*b*c^3*d^3*e^2*g+65*x^2*c^3*d*e^3*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+8*x*b^2*c*e^4*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-357*x*c^3*d^3*e*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+117*x*c^3*d^2*e^2*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-88*b^2*c*d^2*e^2*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-280*b^2*c*d*e^3*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+146*b*c^2*d^3*e*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+534*b*c^2*d^2*e^2*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-24*x^3*b*c^2*e^4*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+33*x^3*c^3*d*e^3*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+16*x^2*b^2*c*e^4*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-10*x^2*b*c^2*e^4*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+143*x^2*c^3*d^2*e^2*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+96*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^3*b*c^3*d*e^4*g+144*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^2*b*c^3*d^2*e^3*g)/(e*x+d)^(9/2)/(b*e-2*c*d)^(3/2)/(b^2*e^2-4*b*c*d*e+4*c^2*d^2)/e^2/(-c*e*x-b*e+c*d)^(1/2)","B"
2240,1,535,383,0.053000," ","int((e*x+d)^(5/2)*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x)","-\frac{2 \left(c e x +b e -c d \right) \left(-3003 g \,e^{5} x^{5} c^{5}+2310 b \,c^{4} e^{5} g \,x^{4}-16170 c^{5} d \,e^{4} g \,x^{4}-3465 c^{5} e^{5} f \,x^{4}-1680 b^{2} c^{3} e^{5} g \,x^{3}+13440 b \,c^{4} d \,e^{4} g \,x^{3}+2520 b \,c^{4} e^{5} f \,x^{3}-36330 c^{5} d^{2} e^{3} g \,x^{3}-18900 c^{5} d \,e^{4} f \,x^{3}+1120 b^{3} c^{2} e^{5} g \,x^{2}-10080 b^{2} c^{3} d \,e^{4} g \,x^{2}-1680 b^{2} c^{3} e^{5} f \,x^{2}+33180 b \,c^{4} d^{2} e^{3} g \,x^{2}+14280 b \,c^{4} d \,e^{4} f \,x^{2}-44240 c^{5} d^{3} e^{2} g \,x^{2}-42630 c^{5} d^{2} e^{3} f \,x^{2}-640 b^{4} c \,e^{5} g x +6400 b^{3} c^{2} d \,e^{4} g x +960 b^{3} c^{2} e^{5} f x -24720 b^{2} c^{3} d^{2} e^{3} g x -9120 b^{2} c^{3} d \,e^{4} f x +44240 b \,c^{4} d^{3} e^{2} g x +32520 b \,c^{4} d^{2} e^{3} f x -31715 c^{5} d^{4} e g x -50100 c^{5} d^{3} e^{2} f x +256 b^{5} e^{5} g -2816 b^{4} c d \,e^{4} g -384 b^{4} c \,e^{5} f +12448 b^{3} c^{2} d^{2} e^{3} g +4032 b^{3} c^{2} d \,e^{4} f -27584 b^{2} c^{3} d^{3} e^{2} g -16656 b^{2} c^{3} d^{2} e^{3} f +30382 b \,c^{4} d^{4} e g +33048 b \,c^{4} d^{3} e^{2} f -12686 c^{5} d^{5} g -29049 f \,d^{4} c^{5} e \right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}}}{45045 \left(e x +d \right)^{\frac{3}{2}} c^{6} e^{2}}"," ",0,"-2/45045*(c*e*x+b*e-c*d)*(-3003*c^5*e^5*g*x^5+2310*b*c^4*e^5*g*x^4-16170*c^5*d*e^4*g*x^4-3465*c^5*e^5*f*x^4-1680*b^2*c^3*e^5*g*x^3+13440*b*c^4*d*e^4*g*x^3+2520*b*c^4*e^5*f*x^3-36330*c^5*d^2*e^3*g*x^3-18900*c^5*d*e^4*f*x^3+1120*b^3*c^2*e^5*g*x^2-10080*b^2*c^3*d*e^4*g*x^2-1680*b^2*c^3*e^5*f*x^2+33180*b*c^4*d^2*e^3*g*x^2+14280*b*c^4*d*e^4*f*x^2-44240*c^5*d^3*e^2*g*x^2-42630*c^5*d^2*e^3*f*x^2-640*b^4*c*e^5*g*x+6400*b^3*c^2*d*e^4*g*x+960*b^3*c^2*e^5*f*x-24720*b^2*c^3*d^2*e^3*g*x-9120*b^2*c^3*d*e^4*f*x+44240*b*c^4*d^3*e^2*g*x+32520*b*c^4*d^2*e^3*f*x-31715*c^5*d^4*e*g*x-50100*c^5*d^3*e^2*f*x+256*b^5*e^5*g-2816*b^4*c*d*e^4*g-384*b^4*c*e^5*f+12448*b^3*c^2*d^2*e^3*g+4032*b^3*c^2*d*e^4*f-27584*b^2*c^3*d^3*e^2*g-16656*b^2*c^3*d^2*e^3*f+30382*b*c^4*d^4*e*g+33048*b*c^4*d^3*e^2*f-12686*c^5*d^5*g-29049*c^5*d^4*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/c^6/e^2/(e*x+d)^(3/2)","A"
2241,1,367,317,0.054000," ","int((e*x+d)^(3/2)*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x)","\frac{2 \left(c e x +b e -c d \right) \left(1155 g \,e^{4} x^{4} c^{4}-840 b \,c^{3} e^{4} g \,x^{3}+4935 c^{4} d \,e^{3} g \,x^{3}+1365 c^{4} e^{4} f \,x^{3}+560 b^{2} c^{2} e^{4} g \,x^{2}-3850 b \,c^{3} d \,e^{3} g \,x^{2}-910 b \,c^{3} e^{4} f \,x^{2}+8295 c^{4} d^{2} e^{2} g \,x^{2}+5915 c^{4} d \,e^{3} f \,x^{2}-320 b^{3} c \,e^{4} g x +2520 b^{2} c^{2} d \,e^{3} g x +520 b^{2} c^{2} e^{4} f x -6940 b \,c^{3} d^{2} e^{2} g x -3900 b \,c^{3} d \,e^{3} f x +6885 c^{4} d^{3} e g x +9815 c^{4} d^{2} e^{2} f x +128 b^{4} e^{4} g -1136 b^{3} c d \,e^{3} g -208 b^{3} c \,e^{4} f +3784 b^{2} c^{2} d^{2} e^{2} g +1768 b^{2} c^{2} d \,e^{3} f -5530 b \,c^{3} d^{3} e g -5486 b \,c^{3} d^{2} e^{2} f +2754 c^{4} d^{4} g +6929 f \,d^{3} c^{4} e \right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}}}{15015 \left(e x +d \right)^{\frac{3}{2}} c^{5} e^{2}}"," ",0,"2/15015*(c*e*x+b*e-c*d)*(1155*c^4*e^4*g*x^4-840*b*c^3*e^4*g*x^3+4935*c^4*d*e^3*g*x^3+1365*c^4*e^4*f*x^3+560*b^2*c^2*e^4*g*x^2-3850*b*c^3*d*e^3*g*x^2-910*b*c^3*e^4*f*x^2+8295*c^4*d^2*e^2*g*x^2+5915*c^4*d*e^3*f*x^2-320*b^3*c*e^4*g*x+2520*b^2*c^2*d*e^3*g*x+520*b^2*c^2*e^4*f*x-6940*b*c^3*d^2*e^2*g*x-3900*b*c^3*d*e^3*f*x+6885*c^4*d^3*e*g*x+9815*c^4*d^2*e^2*f*x+128*b^4*e^4*g-1136*b^3*c*d*e^3*g-208*b^3*c*e^4*f+3784*b^2*c^2*d^2*e^2*g+1768*b^2*c^2*d*e^3*f-5530*b*c^3*d^3*e*g-5486*b*c^3*d^2*e^2*f+2754*c^4*d^4*g+6929*c^4*d^3*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/c^5/e^2/(e*x+d)^(3/2)","A"
2242,1,235,243,0.046000," ","int((e*x+d)^(1/2)*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x)","-\frac{2 \left(c e x +b e -c d \right) \left(-315 g \,e^{3} x^{3} c^{3}+210 b \,c^{2} e^{3} g \,x^{2}-980 c^{3} d \,e^{2} g \,x^{2}-385 c^{3} e^{3} f \,x^{2}-120 b^{2} c \,e^{3} g x +680 b \,c^{2} d \,e^{2} g x +220 b \,c^{2} e^{3} f x -1055 c^{3} d^{2} e g x -1210 c^{3} d \,e^{2} f x +48 b^{3} e^{3} g -320 b^{2} c d \,e^{2} g -88 b^{2} c \,e^{3} f +694 b \,c^{2} d^{2} e g +572 b \,c^{2} d \,e^{2} f -422 c^{3} d^{3} g -1177 f \,d^{2} c^{3} e \right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}}}{3465 \left(e x +d \right)^{\frac{3}{2}} c^{4} e^{2}}"," ",0,"-2/3465*(c*e*x+b*e-c*d)*(-315*c^3*e^3*g*x^3+210*b*c^2*e^3*g*x^2-980*c^3*d*e^2*g*x^2-385*c^3*e^3*f*x^2-120*b^2*c*e^3*g*x+680*b*c^2*d*e^2*g*x+220*b*c^2*e^3*f*x-1055*c^3*d^2*e*g*x-1210*c^3*d*e^2*f*x+48*b^3*e^3*g-320*b^2*c*d*e^2*g-88*b^2*c*e^3*f+694*b*c^2*d^2*e*g+572*b*c^2*d*e^2*f-422*c^3*d^3*g-1177*c^3*d^2*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/c^4/e^2/(e*x+d)^(3/2)","A"
2243,1,139,175,0.049000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^(1/2),x)","\frac{2 \left(c e x +b e -c d \right) \left(35 g \,x^{2} c^{2} e^{2}-20 b c \,e^{2} g x +65 c^{2} d e g x +45 c^{2} e^{2} f x +8 b^{2} e^{2} g -34 b c d e g -18 b c \,e^{2} f +26 c^{2} d^{2} g +81 c^{2} d e f \right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}}}{315 \left(e x +d \right)^{\frac{3}{2}} c^{3} e^{2}}"," ",0,"2/315*(c*e*x+b*e-c*d)*(35*c^2*e^2*g*x^2-20*b*c*e^2*g*x+65*c^2*d*e*g*x+45*c^2*e^2*f*x+8*b^2*e^2*g-34*b*c*d*e*g-18*b*c*e^2*f+26*c^2*d^2*g+81*c^2*d*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/c^3/e^2/(e*x+d)^(3/2)","A"
2244,1,79,106,0.049000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^(3/2),x)","-\frac{2 \left(c e x +b e -c d \right) \left(-5 c e g x +2 b e g -2 c d g -7 c e f \right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}}}{35 \left(e x +d \right)^{\frac{3}{2}} c^{2} e^{2}}"," ",0,"-2/35*(c*e*x+b*e-c*d)*(-5*c*e*g*x+2*b*e*g-2*c*d*g-7*c*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/c^2/e^2/(e*x+d)^(3/2)","A"
2245,1,601,226,0.076000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^(5/2),x)","-\frac{2 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, \left(15 b^{2} c d \,e^{2} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-15 b^{2} c \,e^{3} f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-60 b \,c^{2} d^{2} e g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+60 b \,c^{2} d \,e^{2} f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+60 c^{3} d^{3} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-60 c^{3} d^{2} e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+3 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} e^{2} g \,x^{2}+6 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c \,e^{2} g x -11 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d e g x +5 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} e^{2} f x +3 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} e^{2} g -26 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c d e g +20 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c \,e^{2} f +38 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d^{2} g -35 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d e f \right)}{15 \sqrt{e x +d}\, \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c \,e^{2}}"," ",0,"-2/15*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*(3*x^2*c^2*e^2*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+15*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b^2*c*d*e^2*g-15*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b^2*c*e^3*f-60*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b*c^2*d^2*e*g+60*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b*c^2*d*e^2*f+60*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c^3*d^3*g-60*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c^3*d^2*e*f+6*x*b*c*e^2*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-11*x*c^2*d*e*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+5*x*c^2*e^2*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+3*b^2*e^2*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-26*b*c*d*e*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+20*b*c*e^2*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+38*c^2*d^2*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-35*c^2*d*e*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2))/(e*x+d)^(1/2)/(-c*e*x-b*e+c*d)^(1/2)/c/e^2/(b*e-2*c*d)^(1/2)","B"
2246,1,695,266,0.082000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^(7/2),x)","\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, \left(6 b^{2} e^{3} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-33 b c d \,e^{2} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+9 b c \,e^{3} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+42 c^{2} d^{2} e g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-18 c^{2} d \,e^{2} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+6 b^{2} d \,e^{2} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-33 b c \,d^{2} e g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+9 b c d \,e^{2} f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+42 c^{2} d^{3} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-18 c^{2} d^{2} e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-2 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c \,e^{2} g \,x^{2}-8 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,e^{2} g x +18 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c d e g x -6 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c \,e^{2} f x -11 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b d e g +3 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,e^{2} f +26 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c \,d^{2} g -12 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c d e f \right)}{3 \left(e x +d \right)^{\frac{3}{2}} \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, e^{2}}"," ",0,"1/3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*(6*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*b^2*e^3*g-33*b*c*d*e^2*g*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+9*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*b*c*e^3*f+42*c^2*d^2*e*g*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-18*c^2*d*e^2*f*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-2*x^2*c*e^2*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+6*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b^2*d*e^2*g-33*b*c*d^2*e*g*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+9*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b*c*d*e^2*f+42*c^2*d^3*g*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-18*c^2*d^2*e*f*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-8*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*e^2*g*x+18*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c*d*e*g*x-6*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c*e^2*f*x-11*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*d*e*g+3*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*e^2*f+26*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c*d^2*g-12*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c*d*e*f)/(e*x+d)^(3/2)/(-c*e*x-b*e+c*d)^(1/2)/e^2/(b*e-2*c*d)^(1/2)","B"
2247,1,665,277,0.076000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^(9/2),x)","\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, \left(12 b c \,e^{3} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-27 c^{2} d \,e^{2} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+3 c^{2} e^{3} f \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+24 b c d \,e^{2} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-54 c^{2} d^{2} e g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+6 c^{2} d \,e^{2} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+12 b c \,d^{2} e g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-27 c^{2} d^{3} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+3 c^{2} d^{2} e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-8 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c \,e^{2} g \,x^{2}+4 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,e^{2} g x -29 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c d e g x +5 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c \,e^{2} f x +2 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b d e g +2 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,e^{2} f -17 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c \,d^{2} g +\sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c d e f \right)}{4 \left(e x +d \right)^{\frac{5}{2}} \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, e^{2}}"," ",0,"1/4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*(12*b*c*e^3*g*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-27*c^2*d*e^2*g*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+3*c^2*e^3*f*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+24*b*c*d*e^2*g*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-54*c^2*d^2*e*g*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+6*c^2*d*e^2*f*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-8*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c*e^2*g*x^2+12*b*c*d^2*e*g*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-27*c^2*d^3*g*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+3*c^2*d^2*e*f*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+4*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*e^2*g*x-29*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c*d*e*g*x+5*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c*e^2*f*x+2*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*d*e*g+2*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*e^2*f-17*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c*d^2*g+(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c*d*e*f)/(e*x+d)^(5/2)/(-c*e*x-b*e+c*d)^(1/2)/e^2/(b*e-2*c*d)^(1/2)","B"
2248,1,999,279,0.088000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^(11/2),x)","\frac{\left(18 b \,c^{2} e^{4} g \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-33 c^{3} d \,e^{3} g \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-3 c^{3} e^{4} f \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+54 b \,c^{2} d \,e^{3} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-99 c^{3} d^{2} e^{2} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-9 c^{3} d \,e^{3} f \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+54 b \,c^{2} d^{2} e^{2} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-99 c^{3} d^{3} e g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-9 c^{3} d^{2} e^{2} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+18 b \,c^{2} d^{3} e g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-33 c^{3} d^{4} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-3 c^{3} d^{3} e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+30 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c \,e^{3} g \,x^{2}-63 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d \,e^{2} g \,x^{2}+3 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} e^{3} f \,x^{2}+12 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} e^{3} g x -2 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c d \,e^{2} g x +14 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c \,e^{3} f x -50 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d^{2} e g x -22 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d \,e^{2} f x +4 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} d \,e^{2} g +8 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} e^{3} f -18 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c d \,e^{2} f -19 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d^{3} g +7 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d^{2} e f \right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}{24 \left(b e -2 c d \right)^{\frac{3}{2}} \sqrt{-c e x -b e +c d}\, \left(e x +d \right)^{\frac{7}{2}} e^{2}}"," ",0,"1/24*(-33*c^3*d^4*g*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-3*c^3*e^4*f*x^3*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-2*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c*d*e^2*g*x-3*c^3*d^3*e*f*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+8*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^2*e^3*f-19*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*d^3*g+30*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c*e^3*g*x^2-63*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*d*e^2*g*x^2+14*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c*e^3*f*x-50*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*d^2*e*g*x-22*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*d*e^2*f*x-18*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c*d*e^2*f+54*b*c^2*d*e^3*g*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+54*b*c^2*d^2*e^2*g*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-99*c^3*d^2*e^2*g*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-9*c^3*d*e^3*f*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-99*c^3*d^3*e*g*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-9*c^3*d^2*e^2*f*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+18*b*c^2*d^3*e*g*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+3*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*e^3*f*x^2+12*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^2*e^3*g*x+4*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^2*d*e^2*g+7*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*d^2*e*f+18*b*c^2*e^4*g*x^3*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-33*c^3*d*e^3*g*x^3*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2)))*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(b*e-2*c*d)^(3/2)/e^2/(-c*e*x-b*e+c*d)^(1/2)/(e*x+d)^(7/2)","B"
2249,1,1517,353,0.085000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^(13/2),x)","-\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, \left(24 b \,c^{3} e^{5} g \,x^{4} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-39 c^{4} d \,e^{4} g \,x^{4} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-9 c^{4} e^{5} f \,x^{4} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+96 b \,c^{3} d \,e^{4} g \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-156 c^{4} d^{2} e^{3} g \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-36 c^{4} d \,e^{4} f \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+144 b \,c^{3} d^{2} e^{3} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-234 c^{4} d^{3} e^{2} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-54 c^{4} d^{2} e^{3} f \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+96 b \,c^{3} d^{3} e^{2} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-156 c^{4} d^{4} e g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-36 c^{4} d^{3} e^{2} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+24 b \,c^{3} d^{4} e g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-24 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,c^{2} e^{4} g \,x^{3}-39 c^{4} d^{5} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-9 c^{4} d^{4} e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+39 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} d \,e^{3} g \,x^{3}+9 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} e^{4} f \,x^{3}-112 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} c \,e^{4} g \,x^{2}+382 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,c^{2} d \,e^{3} g \,x^{2}-6 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,c^{2} e^{4} f \,x^{2}-343 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} d^{2} e^{2} g \,x^{2}+39 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} d \,e^{3} f \,x^{2}-64 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{3} e^{4} g x +232 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} c d \,e^{3} g x -72 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} c \,e^{4} f x -220 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,c^{2} d^{2} e^{2} g x +276 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,c^{2} d \,e^{3} f x -3 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} d^{3} e g x -237 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} d^{2} e^{2} f x -16 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{3} d \,e^{3} g -48 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{3} e^{4} f +56 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} c \,d^{2} e^{2} g +216 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} c d \,e^{3} f -50 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,c^{2} d^{3} e g -294 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,c^{2} d^{2} e^{2} f -5 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} d^{4} g +117 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} d^{3} e f \right)}{192 \left(e x +d \right)^{\frac{9}{2}} \left(b e -2 c d \right)^{\frac{5}{2}} \sqrt{-c e x -b e +c d}\, e^{2}}"," ",0,"-1/192*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*(-39*c^4*d^5*g*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+9*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^3*e^4*f*x^3+382*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c^2*d*e^3*g*x^2-48*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^3*e^4*f+232*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^2*c*d*e^3*g*x-220*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c^2*d^2*e^2*g*x+276*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c^2*d*e^3*f*x-5*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^3*d^4*g-9*c^4*e^5*f*x^4*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-9*c^4*d^4*e*f*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-16*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^3*d*e^3*g+117*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^3*d^3*e*f+24*b*c^3*e^5*g*x^4*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-39*c^4*d*e^4*g*x^4*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-156*c^4*d^2*e^3*g*x^3*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-36*c^4*d*e^4*f*x^3*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-234*c^4*d^3*e^2*g*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-54*c^4*d^2*e^3*f*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-156*c^4*d^4*e*g*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-36*c^4*d^3*e^2*f*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+24*b*c^3*d^4*e*g*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-64*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^3*e^4*g*x+96*b*c^3*d^3*e^2*g*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+39*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^3*d*e^3*f*x^2-72*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^2*c*e^4*f*x-3*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^3*d^3*e*g*x-237*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^3*d^2*e^2*f*x+56*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^2*c*d^2*e^2*g+216*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^2*c*d*e^3*f-50*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c^2*d^3*e*g-294*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c^2*d^2*e^2*f-24*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c^2*e^4*g*x^3+39*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^3*d*e^3*g*x^3-112*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^2*c*e^4*g*x^2-6*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c^2*e^4*f*x^2-343*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^3*d^2*e^2*g*x^2+96*b*c^3*d*e^4*g*x^3*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+144*b*c^3*d^2*e^3*g*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2)))/(e*x+d)^(9/2)/(b*e-2*c*d)^(5/2)/e^2/(-c*e*x-b*e+c*d)^(1/2)","B"
2250,1,739,459,0.050000," ","int((e*x+d)^(5/2)*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","\frac{2 \left(c e x +b e -c d \right) \left(153153 g \,e^{6} x^{6} c^{6}-108108 b \,c^{5} e^{6} g \,x^{5}+963963 c^{6} d \,e^{5} g \,x^{5}+171171 c^{6} e^{6} f \,x^{5}+72072 b^{2} c^{4} e^{6} g \,x^{4}-714714 b \,c^{5} d \,e^{5} g \,x^{4}-114114 b \,c^{5} e^{6} f \,x^{4}+2582580 c^{6} d^{2} e^{4} g \,x^{4}+1084083 c^{6} d \,e^{5} f \,x^{4}-44352 b^{3} c^{3} e^{6} g \,x^{3}+484176 b^{2} c^{4} d \,e^{5} g \,x^{3}+70224 b^{2} c^{4} e^{6} f \,x^{3}-2029104 b \,c^{5} d^{2} e^{4} g \,x^{3}-737352 b \,c^{5} d \,e^{5} f \,x^{3}+3827670 c^{6} d^{3} e^{3} g \,x^{3}+2905518 c^{6} d^{2} e^{4} f \,x^{3}+24192 b^{4} c^{2} e^{6} g \,x^{2}-288288 b^{3} c^{3} d \,e^{5} g \,x^{2}-38304 b^{3} c^{3} e^{6} f \,x^{2}+1370880 b^{2} c^{4} d^{2} e^{4} g \,x^{2}+440496 b^{2} c^{4} d \,e^{5} f \,x^{2}-3194604 b \,c^{5} d^{3} e^{3} g \,x^{2}-1987020 b \,c^{5} d^{2} e^{4} f \,x^{2}+3410505 c^{6} d^{4} e^{2} g \,x^{2}+4230198 c^{6} d^{3} e^{3} f \,x^{2}-10752 b^{5} c \,e^{6} g x +138880 b^{4} c^{2} d \,e^{5} g x +17024 b^{4} c^{2} e^{6} f x -737408 b^{3} c^{3} d^{2} e^{4} g x -212800 b^{3} c^{3} d \,e^{5} f x +2029104 b^{2} c^{4} d^{3} e^{3} g x +1078896 b^{2} c^{4} d^{2} e^{4} f x -2935604 b \,c^{5} d^{4} e^{2} g x -2763208 b \,c^{5} d^{3} e^{3} f x +1839103 c^{6} d^{5} e g x +3496703 c^{6} d^{4} e^{2} f x +3072 b^{6} e^{6} g -42752 b^{5} c d \,e^{5} g -4864 b^{5} c \,e^{6} f +250368 b^{4} c^{2} d^{2} e^{4} g +65664 b^{4} c^{2} d \,e^{5} f -790432 b^{3} c^{3} d^{3} e^{3} g -369056 b^{3} c^{3} d^{2} e^{4} f +1418488 b^{2} c^{4} d^{4} e^{2} g +1097744 b^{2} c^{4} d^{3} e^{3} f -1364202 b \,c^{5} d^{5} e g -1788546 b \,c^{5} d^{4} e^{2} f +525458 c^{6} d^{6} g +1414759 f \,d^{5} c^{6} e \right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}}}{2909907 \left(e x +d \right)^{\frac{5}{2}} c^{7} e^{2}}"," ",0,"2/2909907*(c*e*x+b*e-c*d)*(153153*c^6*e^6*g*x^6-108108*b*c^5*e^6*g*x^5+963963*c^6*d*e^5*g*x^5+171171*c^6*e^6*f*x^5+72072*b^2*c^4*e^6*g*x^4-714714*b*c^5*d*e^5*g*x^4-114114*b*c^5*e^6*f*x^4+2582580*c^6*d^2*e^4*g*x^4+1084083*c^6*d*e^5*f*x^4-44352*b^3*c^3*e^6*g*x^3+484176*b^2*c^4*d*e^5*g*x^3+70224*b^2*c^4*e^6*f*x^3-2029104*b*c^5*d^2*e^4*g*x^3-737352*b*c^5*d*e^5*f*x^3+3827670*c^6*d^3*e^3*g*x^3+2905518*c^6*d^2*e^4*f*x^3+24192*b^4*c^2*e^6*g*x^2-288288*b^3*c^3*d*e^5*g*x^2-38304*b^3*c^3*e^6*f*x^2+1370880*b^2*c^4*d^2*e^4*g*x^2+440496*b^2*c^4*d*e^5*f*x^2-3194604*b*c^5*d^3*e^3*g*x^2-1987020*b*c^5*d^2*e^4*f*x^2+3410505*c^6*d^4*e^2*g*x^2+4230198*c^6*d^3*e^3*f*x^2-10752*b^5*c*e^6*g*x+138880*b^4*c^2*d*e^5*g*x+17024*b^4*c^2*e^6*f*x-737408*b^3*c^3*d^2*e^4*g*x-212800*b^3*c^3*d*e^5*f*x+2029104*b^2*c^4*d^3*e^3*g*x+1078896*b^2*c^4*d^2*e^4*f*x-2935604*b*c^5*d^4*e^2*g*x-2763208*b*c^5*d^3*e^3*f*x+1839103*c^6*d^5*e*g*x+3496703*c^6*d^4*e^2*f*x+3072*b^6*e^6*g-42752*b^5*c*d*e^5*g-4864*b^5*c*e^6*f+250368*b^4*c^2*d^2*e^4*g+65664*b^4*c^2*d*e^5*f-790432*b^3*c^3*d^3*e^3*g-369056*b^3*c^3*d^2*e^4*f+1418488*b^2*c^4*d^4*e^2*g+1097744*b^2*c^4*d^3*e^3*f-1364202*b*c^5*d^5*e*g-1788546*b*c^5*d^4*e^2*f+525458*c^6*d^6*g+1414759*c^6*d^5*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/c^7/e^2/(e*x+d)^(5/2)","A"
2251,1,535,388,0.051000," ","int((e*x+d)^(3/2)*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","-\frac{2 \left(c e x +b e -c d \right) \left(-45045 g \,e^{5} x^{5} c^{5}+30030 b \,c^{4} e^{5} g \,x^{4}-234234 c^{5} d \,e^{4} g \,x^{4}-51051 c^{5} e^{5} f \,x^{4}-18480 b^{2} c^{3} e^{5} g \,x^{3}+162624 b \,c^{4} d \,e^{4} g \,x^{3}+31416 b \,c^{4} e^{5} f \,x^{3}-497574 c^{5} d^{2} e^{3} g \,x^{3}-267036 c^{5} d \,e^{4} f \,x^{3}+10080 b^{3} c^{2} e^{5} g \,x^{2}-98784 b^{2} c^{3} d \,e^{4} g \,x^{2}-17136 b^{2} c^{3} e^{5} f \,x^{2}+360108 b \,c^{4} d^{2} e^{3} g \,x^{2}+162792 b \,c^{4} d \,e^{4} f \,x^{2}-549864 c^{5} d^{3} e^{2} g \,x^{2}-563346 c^{5} d^{2} e^{3} f \,x^{2}-4480 b^{4} c \,e^{5} g x +48384 b^{3} c^{2} d \,e^{4} g x +7616 b^{3} c^{2} e^{5} f x -203952 b^{2} c^{3} d^{2} e^{3} g x -79968 b^{2} c^{3} d \,e^{4} f x +404432 b \,c^{4} d^{3} e^{2} g x +322728 b \,c^{4} d^{2} e^{3} f x -329469 c^{5} d^{4} e g x -590716 c^{5} d^{3} e^{2} f x +1280 b^{5} e^{5} g -15104 b^{4} c d \,e^{4} g -2176 b^{4} c \,e^{5} f +72096 b^{3} c^{2} d^{2} e^{3} g +25024 b^{3} c^{2} d \,e^{4} f -173824 b^{2} c^{3} d^{3} e^{2} g -115056 b^{2} c^{3} d^{2} e^{3} f +209686 b \,c^{4} d^{4} e g +260984 b \,c^{4} d^{3} e^{2} f -94134 c^{5} d^{5} g -278171 f \,d^{4} c^{5} e \right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}}}{765765 \left(e x +d \right)^{\frac{5}{2}} c^{6} e^{2}}"," ",0,"-2/765765*(c*e*x+b*e-c*d)*(-45045*c^5*e^5*g*x^5+30030*b*c^4*e^5*g*x^4-234234*c^5*d*e^4*g*x^4-51051*c^5*e^5*f*x^4-18480*b^2*c^3*e^5*g*x^3+162624*b*c^4*d*e^4*g*x^3+31416*b*c^4*e^5*f*x^3-497574*c^5*d^2*e^3*g*x^3-267036*c^5*d*e^4*f*x^3+10080*b^3*c^2*e^5*g*x^2-98784*b^2*c^3*d*e^4*g*x^2-17136*b^2*c^3*e^5*f*x^2+360108*b*c^4*d^2*e^3*g*x^2+162792*b*c^4*d*e^4*f*x^2-549864*c^5*d^3*e^2*g*x^2-563346*c^5*d^2*e^3*f*x^2-4480*b^4*c*e^5*g*x+48384*b^3*c^2*d*e^4*g*x+7616*b^3*c^2*e^5*f*x-203952*b^2*c^3*d^2*e^3*g*x-79968*b^2*c^3*d*e^4*f*x+404432*b*c^4*d^3*e^2*g*x+322728*b*c^4*d^2*e^3*f*x-329469*c^5*d^4*e*g*x-590716*c^5*d^3*e^2*f*x+1280*b^5*e^5*g-15104*b^4*c*d*e^4*g-2176*b^4*c*e^5*f+72096*b^3*c^2*d^2*e^3*g+25024*b^3*c^2*d*e^4*f-173824*b^2*c^3*d^3*e^2*g-115056*b^2*c^3*d^2*e^3*f+209686*b*c^4*d^4*e*g+260984*b*c^4*d^3*e^2*f-94134*c^5*d^5*g-278171*c^5*d^4*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/c^6/e^2/(e*x+d)^(5/2)","A"
2252,1,367,313,0.053000," ","int((e*x+d)^(1/2)*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","\frac{2 \left(c e x +b e -c d \right) \left(3003 g \,e^{4} x^{4} c^{4}-1848 b \,c^{3} e^{4} g \,x^{3}+12243 c^{4} d \,e^{3} g \,x^{3}+3465 c^{4} e^{4} f \,x^{3}+1008 b^{2} c^{2} e^{4} g \,x^{2}-7686 b \,c^{3} d \,e^{3} g \,x^{2}-1890 b \,c^{3} e^{4} f \,x^{2}+18963 c^{4} d^{2} e^{2} g \,x^{2}+14175 c^{4} d \,e^{3} f \,x^{2}-448 b^{3} c \,e^{4} g x +3864 b^{2} c^{2} d \,e^{3} g x +840 b^{2} c^{2} e^{4} f x -11844 b \,c^{3} d^{2} e^{2} g x -7140 b \,c^{3} d \,e^{3} f x +13433 c^{4} d^{3} e g x +21315 c^{4} d^{2} e^{2} f x +128 b^{4} e^{4} g -1232 b^{3} c d \,e^{3} g -240 b^{3} c \,e^{4} f +4488 b^{2} c^{2} d^{2} e^{2} g +2280 b^{2} c^{2} d \,e^{3} f -7222 b \,c^{3} d^{3} e g -8130 b \,c^{3} d^{2} e^{2} f +3838 c^{4} d^{4} g +12525 f \,d^{3} c^{4} e \right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}}}{45045 \left(e x +d \right)^{\frac{5}{2}} c^{5} e^{2}}"," ",0,"2/45045*(c*e*x+b*e-c*d)*(3003*c^4*e^4*g*x^4-1848*b*c^3*e^4*g*x^3+12243*c^4*d*e^3*g*x^3+3465*c^4*e^4*f*x^3+1008*b^2*c^2*e^4*g*x^2-7686*b*c^3*d*e^3*g*x^2-1890*b*c^3*e^4*f*x^2+18963*c^4*d^2*e^2*g*x^2+14175*c^4*d*e^3*f*x^2-448*b^3*c*e^4*g*x+3864*b^2*c^2*d*e^3*g*x+840*b^2*c^2*e^4*f*x-11844*b*c^3*d^2*e^2*g*x-7140*b*c^3*d*e^3*f*x+13433*c^4*d^3*e*g*x+21315*c^4*d^2*e^2*f*x+128*b^4*e^4*g-1232*b^3*c*d*e^3*g-240*b^3*c*e^4*f+4488*b^2*c^2*d^2*e^2*g+2280*b^2*c^2*d*e^3*f-7222*b*c^3*d^3*e*g-8130*b*c^3*d^2*e^2*f+3838*c^4*d^4*g+12525*c^4*d^3*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/c^5/e^2/(e*x+d)^(5/2)","A"
2253,1,235,246,0.049000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^(1/2),x)","-\frac{2 \left(c e x +b e -c d \right) \left(-693 g \,e^{3} x^{3} c^{3}+378 b \,c^{2} e^{3} g \,x^{2}-2016 c^{3} d \,e^{2} g \,x^{2}-819 c^{3} e^{3} f \,x^{2}-168 b^{2} c \,e^{3} g x +1064 b \,c^{2} d \,e^{2} g x +364 b \,c^{2} e^{3} f x -1897 c^{3} d^{2} e g x -2366 c^{3} d \,e^{2} f x +48 b^{3} e^{3} g -352 b^{2} c d \,e^{2} g -104 b^{2} c \,e^{3} f +846 b \,c^{2} d^{2} e g +780 b \,c^{2} d \,e^{2} f -542 c^{3} d^{3} g -1963 f \,d^{2} c^{3} e \right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}}}{9009 \left(e x +d \right)^{\frac{5}{2}} c^{4} e^{2}}"," ",0,"-2/9009*(c*e*x+b*e-c*d)*(-693*c^3*e^3*g*x^3+378*b*c^2*e^3*g*x^2-2016*c^3*d*e^2*g*x^2-819*c^3*e^3*f*x^2-168*b^2*c*e^3*g*x+1064*b*c^2*d*e^2*g*x+364*b*c^2*e^3*f*x-1897*c^3*d^2*e*g*x-2366*c^3*d*e^2*f*x+48*b^3*e^3*g-352*b^2*c*d*e^2*g-104*b^2*c*e^3*f+846*b*c^2*d^2*e*g+780*b*c^2*d*e^2*f-542*c^3*d^3*g-1963*c^3*d^2*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/c^4/e^2/(e*x+d)^(5/2)","A"
2254,1,139,175,0.043000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^(3/2),x)","\frac{2 \left(c e x +b e -c d \right) \left(63 g \,x^{2} c^{2} e^{2}-28 b c \,e^{2} g x +105 c^{2} d e g x +77 c^{2} e^{2} f x +8 b^{2} e^{2} g -38 b c d e g -22 b c \,e^{2} f +30 c^{2} d^{2} g +121 c^{2} d e f \right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}}}{693 \left(e x +d \right)^{\frac{5}{2}} c^{3} e^{2}}"," ",0,"2/693*(c*e*x+b*e-c*d)*(63*c^2*e^2*g*x^2-28*b*c*e^2*g*x+105*c^2*d*e*g*x+77*c^2*e^2*f*x+8*b^2*e^2*g-38*b*c*d*e*g-22*b*c*e^2*f+30*c^2*d^2*g+121*c^2*d*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/c^3/e^2/(e*x+d)^(5/2)","A"
2255,1,79,106,0.051000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^(5/2),x)","-\frac{2 \left(c e x +b e -c d \right) \left(-7 c e g x +2 b e g -2 c d g -9 c e f \right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}}}{63 \left(e x +d \right)^{\frac{5}{2}} c^{2} e^{2}}"," ",0,"-2/63*(c*e*x+b*e-c*d)*(-7*c*e*g*x+2*b*e*g-2*c*d*g-9*c*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/c^2/e^2/(e*x+d)^(5/2)","A"
2256,1,956,286,0.071000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^(7/2),x)","\frac{2 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, \left(105 b^{3} c d \,e^{3} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-105 b^{3} c \,e^{4} f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-630 b^{2} c^{2} d^{2} e^{2} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+630 b^{2} c^{2} d \,e^{3} f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+1260 b \,c^{3} d^{3} e g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-1260 b \,c^{3} d^{2} e^{2} f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-840 c^{4} d^{4} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+840 c^{4} d^{3} e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+15 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} e^{3} g \,x^{3}+45 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,c^{2} e^{3} g \,x^{2}-66 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} d \,e^{2} g \,x^{2}+21 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} e^{3} f \,x^{2}+45 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} c \,e^{3} g x -167 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,c^{2} d \,e^{2} g x +77 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,c^{2} e^{3} f x +157 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} d^{2} e g x -112 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} d \,e^{2} f x +15 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b^{3} e^{3} g -206 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b^{2} c d \,e^{2} g +161 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b^{2} c \,e^{3} f +612 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b \,c^{2} d^{2} e g -567 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b \,c^{2} d \,e^{2} f -526 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, c^{3} d^{3} g +511 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, c^{3} d^{2} e f \right)}{105 \sqrt{e x +d}\, \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c \,e^{2}}"," ",0,"2/105*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*(15*x^3*c^3*e^3*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+45*x^2*b*c^2*e^3*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-66*x^2*c^3*d*e^2*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+21*x^2*c^3*e^3*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+105*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b^3*c*d*e^3*g-105*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b^3*c*e^4*f-630*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b^2*c^2*d^2*e^2*g+630*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b^2*c^2*d*e^3*f+1260*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b*c^3*d^3*e*g-1260*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b*c^3*d^2*e^2*f-840*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c^4*d^4*g+840*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c^4*d^3*e*f+45*x*b^2*c*e^3*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-167*x*b*c^2*d*e^2*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+77*x*b*c^2*e^3*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+157*x*c^3*d^2*e*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)-112*x*c^3*d*e^2*f*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+15*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)*b^3*e^3*g-206*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)*b^2*c*d*e^2*g+161*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)*b^2*c*e^3*f+612*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)*b*c^2*d^2*e*g-567*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)*b*c^2*d*e^2*f-526*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)*c^3*d^3*g+511*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)*c^3*d^2*e*f)/(e*x+d)^(1/2)/(-c*e*x-b*e+c*d)^(1/2)/c/e^2/(b*e-2*c*d)^(1/2)","B"
2257,1,1136,332,0.085000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^(9/2),x)","-\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, \left(30 b^{3} e^{4} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-255 b^{2} c d \,e^{3} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+75 b^{2} c \,e^{4} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+660 b \,c^{2} d^{2} e^{2} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-300 b \,c^{2} d \,e^{3} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-540 c^{3} d^{3} e g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+300 c^{3} d^{2} e^{2} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+30 b^{3} d \,e^{3} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-255 b^{2} c \,d^{2} e^{2} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+75 b^{2} c d \,e^{3} f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+660 b \,c^{2} d^{3} e g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-300 b \,c^{2} d^{2} e^{2} f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-540 c^{3} d^{4} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+300 c^{3} d^{3} e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-6 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} e^{3} g \,x^{3}-22 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c \,e^{3} g \,x^{2}+36 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d \,e^{2} g \,x^{2}-10 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} e^{3} f \,x^{2}-46 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} e^{3} g x +210 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c d \,e^{2} g x -70 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c \,e^{3} f x -234 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d^{2} e g x +120 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d \,e^{2} f x -61 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} d \,e^{2} g +15 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} e^{3} f +292 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c \,d^{2} e g -130 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c d \,e^{2} f -336 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d^{3} g +190 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d^{2} e f \right)}{15 \left(e x +d \right)^{\frac{3}{2}} \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, e^{2}}"," ",0,"-1/15*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*(-540*c^3*d^4*g*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+30*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*b^3*e^4*g+210*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c*d*e^2*g*x+300*c^3*d^3*e*f*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+15*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^2*e^3*f-336*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*d^3*g+30*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b^3*d*e^3*g-22*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c*e^3*g*x^2+36*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*d*e^2*g*x^2-70*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c*e^3*f*x-234*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*d^2*e*g*x+120*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*d*e^2*f*x-130*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c*d*e^2*f+660*b*c^2*d^2*e^2*g*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+75*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b^2*c*d*e^3*f-300*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b*c^2*d^2*e^2*f-6*x^3*c^2*e^3*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)+75*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*b^2*c*e^4*f-255*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b^2*c*d^2*e^2*g-540*c^3*d^3*e*g*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+300*c^3*d^2*e^2*f*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+660*b*c^2*d^3*e*g*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-10*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*e^3*f*x^2-46*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^2*e^3*g*x-61*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^2*d*e^2*g+190*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*d^2*e*f-300*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*b*c^2*d*e^3*f-255*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*b^2*c*d*e^3*g+292*b*c*d^2*e*g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2))/(e*x+d)^(3/2)/(-c*e*x-b*e+c*d)^(1/2)/e^2/(b*e-2*c*d)^(1/2)","B"
2258,1,1189,338,0.082000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^(11/2),x)","-\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, \left(60 b^{2} c \,e^{4} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-285 b \,c^{2} d \,e^{3} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+45 b \,c^{2} e^{4} f \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+330 c^{3} d^{2} e^{2} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-90 c^{3} d \,e^{3} f \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+120 b^{2} c d \,e^{3} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-570 b \,c^{2} d^{2} e^{2} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+90 b \,c^{2} d \,e^{3} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+660 c^{3} d^{3} e g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-180 c^{3} d^{2} e^{2} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+60 b^{2} c \,d^{2} e^{2} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-285 b \,c^{2} d^{3} e g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+45 b \,c^{2} d^{2} e^{2} f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+330 c^{3} d^{4} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-90 c^{3} d^{3} e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-8 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} e^{3} g \,x^{3}-56 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c \,e^{3} g \,x^{2}+112 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d \,e^{2} g \,x^{2}-24 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} e^{3} f \,x^{2}+12 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} e^{3} g x -187 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c d \,e^{2} g x +27 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c \,e^{3} f x +350 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d^{2} e g x -102 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d \,e^{2} f x +6 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} d \,e^{2} g +6 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} e^{3} f -107 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c \,d^{2} e g +3 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c d \,e^{2} f +206 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d^{3} g -54 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d^{2} e f \right)}{12 \left(e x +d \right)^{\frac{5}{2}} \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, e^{2}}"," ",0,"-1/12*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*(330*c^3*d^4*g*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-187*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c*d*e^2*g*x-90*c^3*d^3*e*f*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+6*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^2*e^3*f+206*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*d^3*g-56*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c*e^3*g*x^2+112*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*d*e^2*g*x^2+27*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c*e^3*f*x+350*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*d^2*e*g*x-102*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*d*e^2*f*x+3*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c*d*e^2*f-285*b*c^2*d*e^3*g*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-570*b*c^2*d^2*e^2*g*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+45*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^2*b*c^2*e^4*f+60*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^2*b^2*c*e^4*g+45*b*c^2*d^2*e^2*f*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-8*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*e^3*g*x^3+60*b^2*c*d^2*e^2*g*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+330*c^3*d^2*e^2*g*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-90*c^3*d*e^3*f*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+660*c^3*d^3*e*g*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-180*c^3*d^2*e^2*f*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-285*b*c^2*d^3*e*g*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-24*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*e^3*f*x^2+12*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^2*e^3*g*x+6*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^2*d*e^2*g-54*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*d^2*e*f+90*b*c^2*d*e^3*f*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+120*b^2*c*d*e^3*g*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-107*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c*d^2*e*g)/(e*x+d)^(5/2)/(-c*e*x-b*e+c*d)^(1/2)/e^2/(b*e-2*c*d)^(1/2)","B"
2259,1,1070,349,0.087000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^(13/2),x)","-\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, \left(90 b \,c^{2} e^{4} g \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-195 c^{3} d \,e^{3} g \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+15 c^{3} e^{4} f \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+270 b \,c^{2} d \,e^{3} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-585 c^{3} d^{2} e^{2} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+45 c^{3} d \,e^{3} f \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+270 b \,c^{2} d^{2} e^{2} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-585 c^{3} d^{3} e g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+45 c^{3} d^{2} e^{2} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+90 b \,c^{2} d^{3} e g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-195 c^{3} d^{4} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+15 c^{3} d^{3} e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-48 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} e^{3} g \,x^{3}+54 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c \,e^{3} g \,x^{2}-285 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d \,e^{2} g \,x^{2}+33 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} e^{3} f \,x^{2}+12 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} e^{3} g x +34 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c d \,e^{2} g x +26 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c \,e^{3} f x -326 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d^{2} e g x +14 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d \,e^{2} f x +4 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} d \,e^{2} g +8 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} e^{3} f +12 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c \,d^{2} e g -6 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b c d \,e^{2} f -121 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d^{3} g +13 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{2} d^{2} e f \right)}{24 \left(e x +d \right)^{\frac{7}{2}} \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, e^{2}}"," ",0,"-1/24*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*(-195*c^3*d^4*g*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+15*c^3*e^4*f*x^3*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+34*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c*d*e^2*g*x+15*c^3*d^3*e*f*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+8*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^2*e^3*f-121*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*d^3*g+54*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c*e^3*g*x^2-285*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*d*e^2*g*x^2+26*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c*e^3*f*x-326*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*d^2*e*g*x+14*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*d*e^2*f*x-6*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c*d*e^2*f+270*b*c^2*d*e^3*g*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+270*b*c^2*d^2*e^2*g*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-48*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*e^3*g*x^3-585*c^3*d^2*e^2*g*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+45*c^3*d*e^3*f*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-585*c^3*d^3*e*g*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+45*c^3*d^2*e^2*f*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+90*b*c^2*d^3*e*g*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+33*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*e^3*f*x^2+12*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^2*e^3*g*x+4*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^2*d*e^2*g+13*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^2*d^2*e*f+90*b*c^2*e^4*g*x^3*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-195*c^3*d*e^3*g*x^3*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+12*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c*d^2*e*g)/(e*x+d)^(7/2)/(-c*e*x-b*e+c*d)^(1/2)/e^2/(b*e-2*c*d)^(1/2)","B"
2260,1,1517,349,0.113000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^(15/2),x)","-\frac{\left(120 b \,c^{3} e^{5} g \,x^{4} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-225 c^{4} d \,e^{4} g \,x^{4} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-15 c^{4} e^{5} f \,x^{4} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+480 b \,c^{3} d \,e^{4} g \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-900 c^{4} d^{2} e^{3} g \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-60 c^{4} d \,e^{4} f \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+720 b \,c^{3} d^{2} e^{3} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-1350 c^{4} d^{3} e^{2} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-90 c^{4} d^{2} e^{3} f \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+480 b \,c^{3} d^{3} e^{2} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-900 c^{4} d^{4} e g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-60 c^{4} d^{3} e^{2} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+120 b \,c^{3} d^{4} e g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+264 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,c^{2} e^{4} g \,x^{3}-225 c^{4} d^{5} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-15 c^{4} d^{4} e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-543 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} d \,e^{3} g \,x^{3}+15 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} e^{4} f \,x^{3}+208 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} c \,e^{4} g \,x^{2}-158 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,c^{2} d \,e^{3} g \,x^{2}+118 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,c^{2} e^{4} f \,x^{2}-561 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} d^{2} e^{2} g \,x^{2}-191 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} d \,e^{3} f \,x^{2}+64 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{3} e^{4} g x -104 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} c d \,e^{3} g x +136 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} c \,e^{4} f x +204 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,c^{2} d^{2} e^{2} g x -308 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,c^{2} d \,e^{3} f x -549 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} d^{3} e g x +117 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} d^{2} e^{2} f x +16 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{3} d \,e^{3} g +48 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{3} e^{4} f -24 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} c \,d^{2} e^{2} g -152 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b^{2} c d \,e^{3} f +50 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,c^{2} d^{3} e g +150 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,c^{2} d^{2} e^{2} f -147 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} d^{4} g -61 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c^{3} d^{3} e f \right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}{192 \left(b e -2 c d \right)^{\frac{3}{2}} \sqrt{-c e x -b e +c d}\, \left(e x +d \right)^{\frac{9}{2}} e^{2}}"," ",0,"-1/192*(-225*c^4*d^5*g*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+15*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^3*e^4*f*x^3-158*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c^2*d*e^3*g*x^2+48*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^3*e^4*f-104*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^2*c*d*e^3*g*x+204*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c^2*d^2*e^2*g*x-308*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c^2*d*e^3*f*x-147*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^3*d^4*g-15*c^4*e^5*f*x^4*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-15*c^4*d^4*e*f*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+16*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^3*d*e^3*g-61*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^3*d^3*e*f+120*b*c^3*e^5*g*x^4*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-225*c^4*d*e^4*g*x^4*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-900*c^4*d^2*e^3*g*x^3*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-60*c^4*d*e^4*f*x^3*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-1350*c^4*d^3*e^2*g*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-90*c^4*d^2*e^3*f*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-900*c^4*d^4*e*g*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-60*c^4*d^3*e^2*f*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+120*b*c^3*d^4*e*g*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+64*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^3*e^4*g*x+480*b*c^3*d^3*e^2*g*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-191*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^3*d*e^3*f*x^2+136*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^2*c*e^4*f*x-549*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^3*d^3*e*g*x+117*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^3*d^2*e^2*f*x-24*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^2*c*d^2*e^2*g-152*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^2*c*d*e^3*f+50*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c^2*d^3*e*g+150*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c^2*d^2*e^2*f+264*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c^2*e^4*g*x^3-543*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^3*d*e^3*g*x^3+208*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b^2*c*e^4*g*x^2+118*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*c^2*e^4*f*x^2-561*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c^3*d^2*e^2*g*x^2+480*b*c^3*d*e^4*g*x^3*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+720*b*c^3*d^2*e^3*g*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2)))*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(b*e-2*c*d)^(3/2)/e^2/(-c*e*x-b*e+c*d)^(1/2)/(e*x+d)^(9/2)","B"
2261,1,2087,424,0.089000," ","int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^(17/2),x)","\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, \left(150 b \,c^{4} e^{6} g \,x^{5} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-255 c^{5} d \,e^{5} g \,x^{5} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-45 c^{5} e^{6} f \,x^{5} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+750 b \,c^{4} d \,e^{5} g \,x^{4} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-1275 c^{5} d^{2} e^{4} g \,x^{4} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-225 c^{5} d \,e^{5} f \,x^{4} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+1500 b \,c^{4} d^{2} e^{4} g \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-2550 c^{5} d^{3} e^{3} g \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-450 c^{5} d^{2} e^{4} f \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+1500 b \,c^{4} d^{3} e^{3} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-2550 c^{5} d^{4} e^{2} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-450 c^{5} d^{3} e^{3} f \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+750 b \,c^{4} d^{4} e^{2} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-150 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b \,c^{3} e^{5} g \,x^{4}-1275 c^{5} d^{5} e g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-225 c^{5} d^{4} e^{2} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+255 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, c^{4} d \,e^{4} g \,x^{4}+45 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, c^{4} e^{5} f \,x^{4}-1180 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b^{2} c^{2} e^{5} g \,x^{3}+150 b \,c^{4} d^{5} e g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+4150 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b \,c^{3} d \,e^{4} g \,x^{3}-30 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b \,c^{3} e^{5} f \,x^{3}-255 c^{5} d^{6} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-45 c^{5} d^{5} e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-3760 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, c^{4} d^{2} e^{3} g \,x^{3}+240 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, c^{4} d \,e^{4} f \,x^{3}-1360 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b^{3} c \,e^{5} g \,x^{2}+5364 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b^{2} c^{2} d \,e^{4} g \,x^{2}-744 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b^{2} c^{2} e^{5} f \,x^{2}-5946 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b \,c^{3} d^{2} e^{3} g \,x^{2}+2886 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b \,c^{3} d \,e^{4} f \,x^{2}+1046 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, c^{4} d^{3} e^{2} g \,x^{2}-2526 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, c^{4} d^{2} e^{3} f \,x^{2}-480 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b^{4} e^{5} g x +2128 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b^{3} c d \,e^{4} g x -1008 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b^{3} c \,e^{5} f x -3300 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b^{2} c^{2} d^{2} e^{3} g x +4560 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b^{2} c^{2} d \,e^{4} f x +2514 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b \,c^{3} d^{3} e^{2} g x -6234 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b \,c^{3} d^{2} e^{3} f x -1352 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, c^{4} d^{4} e g x +2472 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, c^{4} d^{3} e^{2} f x -96 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b^{4} d \,e^{4} g -384 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b^{4} e^{5} f +416 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b^{3} c \,d^{2} e^{3} g +2064 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b^{3} c d \,e^{4} f -628 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b^{2} c^{2} d^{3} e^{2} g -3912 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b^{2} c^{2} d^{2} e^{3} f +472 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b \,c^{3} d^{4} e g +3138 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, b \,c^{3} d^{3} e^{2} f -269 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, c^{4} d^{5} g -951 \sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, c^{4} d^{4} e f \right)}{1920 \left(e x +d \right)^{\frac{11}{2}} \left(b e -2 c d \right)^{\frac{5}{2}} \sqrt{-c e x -b e +c d}\, e^{2}}"," ",0,"1/1920*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*(-5946*x^2*b*c^3*d^2*e^3*g*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)+2886*x^2*b*c^3*d*e^4*f*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)-384*b^4*e^5*f*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)+2128*x*b^3*c*d*e^4*g*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)-255*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c^5*d^6*g-3300*x*b^2*c^2*d^2*e^3*g*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)+4560*x*b^2*c^2*d*e^4*f*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)+2514*x*b*c^3*d^3*e^2*g*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)-6234*x*b*c^3*d^2*e^3*f*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)+4150*x^3*b*c^3*d*e^4*g*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)+5364*x^2*b^2*c^2*d*e^4*g*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)-269*c^4*d^5*g*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)-45*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^5*c^5*e^6*f-45*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c^5*d^5*e*f+240*x^3*c^4*d*e^4*f*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)-1360*x^2*b^3*c*e^5*g*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)-744*x^2*b^2*c^2*e^5*f*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)+1046*x^2*c^4*d^3*e^2*g*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)-2526*x^2*c^4*d^2*e^3*f*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)-1008*x*b^3*c*e^5*f*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)-1352*x*c^4*d^4*e*g*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)+2472*x*c^4*d^3*e^2*f*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)+416*b^3*c*d^2*e^3*g*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)+2064*b^3*c*d*e^4*f*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)-628*b^2*c^2*d^3*e^2*g*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)-3912*b^2*c^2*d^2*e^3*f*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)+472*b*c^3*d^4*e*g*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)+3138*b*c^3*d^3*e^2*f*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)+750*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^4*b*c^4*d*e^5*g+1500*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^3*b*c^4*d^2*e^4*g+1500*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^2*b*c^4*d^3*e^3*g+750*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*b*c^4*d^4*e^2*g-150*x^4*b*c^3*e^5*g*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)+255*x^4*c^4*d*e^4*g*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)-1180*x^3*b^2*c^2*e^5*g*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)-30*x^3*b*c^3*e^5*f*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)-3760*x^3*c^4*d^2*e^3*g*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)-255*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^5*c^5*d*e^5*g-1275*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^4*c^5*d^2*e^4*g-225*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^4*c^5*d*e^5*f-225*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*c^5*d^4*e^2*f+150*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b*c^4*d^5*e*g+45*x^4*c^4*e^5*f*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)-480*x*b^4*e^5*g*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)-2550*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^3*c^5*d^3*e^3*g-450*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^3*c^5*d^2*e^4*f-2550*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^2*c^5*d^4*e^2*g-450*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^2*c^5*d^3*e^3*f-1275*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*c^5*d^5*e*g-96*b^4*d*e^4*g*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)-951*c^4*d^4*e*f*(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)+150*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^5*b*c^4*e^6*g)/(e*x+d)^(11/2)/(b*e-2*c*d)^(5/2)/e^2/(-c*e*x-b*e+c*d)^(1/2)","B"
2262,1,235,246,0.051000," ","int((e*x+d)^(5/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x)","-\frac{2 \left(c e x +b e -c d \right) \left(-15 g \,e^{3} x^{3} c^{3}+18 b \,c^{2} e^{3} g \,x^{2}-60 c^{3} d \,e^{2} g \,x^{2}-21 c^{3} e^{3} f \,x^{2}-24 b^{2} c \,e^{3} g x +104 b \,c^{2} d \,e^{2} g x +28 b \,c^{2} e^{3} f x -115 c^{3} d^{2} e g x -98 c^{3} d \,e^{2} f x +48 b^{3} e^{3} g -256 b^{2} c d \,e^{2} g -56 b^{2} c \,e^{3} f +438 b \,c^{2} d^{2} e g +252 b \,c^{2} d \,e^{2} f -230 c^{3} d^{3} g -301 f \,d^{2} c^{3} e \right) \sqrt{e x +d}}{105 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{4} e^{2}}"," ",0,"-2/105*(c*e*x+b*e-c*d)*(-15*c^3*e^3*g*x^3+18*b*c^2*e^3*g*x^2-60*c^3*d*e^2*g*x^2-21*c^3*e^3*f*x^2-24*b^2*c*e^3*g*x+104*b*c^2*d*e^2*g*x+28*b*c^2*e^3*f*x-115*c^3*d^2*e*g*x-98*c^3*d*e^2*f*x+48*b^3*e^3*g-256*b^2*c*d*e^2*g-56*b^2*c*e^3*f+438*b*c^2*d^2*e*g+252*b*c^2*d*e^2*f-230*c^3*d^3*g-301*c^3*d^2*e*f)*(e*x+d)^(1/2)/c^4/e^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)","A"
2263,1,139,175,0.046000," ","int((e*x+d)^(3/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x)","\frac{2 \left(c e x +b e -c d \right) \left(3 g \,x^{2} c^{2} e^{2}-4 b c \,e^{2} g x +9 c^{2} d e g x +5 c^{2} e^{2} f x +8 b^{2} e^{2} g -26 b c d e g -10 b c \,e^{2} f +18 c^{2} d^{2} g +25 c^{2} d e f \right) \sqrt{e x +d}}{15 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{3} e^{2}}"," ",0,"2/15*(c*e*x+b*e-c*d)*(3*c^2*e^2*g*x^2-4*b*c*e^2*g*x+9*c^2*d*e*g*x+5*c^2*e^2*f*x+8*b^2*e^2*g-26*b*c*d*e*g-10*b*c*e^2*f+18*c^2*d^2*g+25*c^2*d*e*f)*(e*x+d)^(1/2)/c^3/e^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)","A"
2264,1,79,105,0.051000," ","int((e*x+d)^(1/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x)","-\frac{2 \left(c e x +b e -c d \right) \left(-c e g x +2 b e g -2 c d g -3 c e f \right) \sqrt{e x +d}}{3 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, c^{2} e^{2}}"," ",0,"-2/3*(c*e*x+b*e-c*d)*(-c*e*g*x+2*b*e*g-2*c*d*g-3*c*e*f)*(e*x+d)^(1/2)/c^2/e^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)","A"
2265,1,161,119,0.061000," ","int((g*x+f)/(e*x+d)^(1/2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x)","-\frac{2 \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, \left(c d g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-c e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+\sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, g \right)}{\sqrt{e x +d}\, \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c \,e^{2}}"," ",0,"-2/(e*x+d)^(1/2)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*(arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c*d*g-arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c*e*f+g*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2))/(-c*e*x-b*e+c*d)^(1/2)/c/e^2/(b*e-2*c*d)^(1/2)","A"
2266,1,328,141,0.082000," ","int((g*x+f)/(e*x+d)^(3/2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x)","\frac{\left(2 b \,e^{2} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-3 c d e g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-c \,e^{2} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+2 b d e g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-3 c \,d^{2} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-c d e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-\sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, d g +\sqrt{b e -2 c d}\, \sqrt{-c e x -b e +c d}\, e f \right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}{\left(b e -2 c d \right)^{\frac{3}{2}} \sqrt{-c e x -b e +c d}\, \left(e x +d \right)^{\frac{3}{2}} e^{2}}"," ",0,"(2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*b*e^2*g-3*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*c*d*e*g-arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*c*e^2*f+2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b*d*e*g-3*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c*d^2*g-arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c*d*e*f-(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)*d*g+(b*e-2*c*d)^(1/2)*(-c*e*x-b*e+c*d)^(1/2)*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(b*e-2*c*d)^(3/2)/e^2/(-c*e*x-b*e+c*d)^(1/2)/(e*x+d)^(3/2)","B"
2267,1,630,211,0.087000," ","int((g*x+f)/(e*x+d)^(5/2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x)","-\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, \left(4 b c \,e^{3} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-5 c^{2} d \,e^{2} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-3 c^{2} e^{3} f \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+8 b c d \,e^{2} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-10 c^{2} d^{2} e g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-6 c^{2} d \,e^{2} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+4 b c \,d^{2} e g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-5 c^{2} d^{3} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-3 c^{2} d^{2} e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-4 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,e^{2} g x +5 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c d e g x +3 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c \,e^{2} f x -2 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b d e g -2 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, b \,e^{2} f +\sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c \,d^{2} g +7 \sqrt{-c e x -b e +c d}\, \sqrt{b e -2 c d}\, c d e f \right)}{4 \left(e x +d \right)^{\frac{5}{2}} \left(b e -2 c d \right)^{\frac{5}{2}} \sqrt{-c e x -b e +c d}\, e^{2}}"," ",0,"-1/4*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*(4*b*c*e^3*g*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-5*c^2*d*e^2*g*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-3*c^2*e^3*f*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+8*b*c*d*e^2*g*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-10*c^2*d^2*e*g*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-6*c^2*d*e^2*f*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+4*b*c*d^2*e*g*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-5*c^2*d^3*g*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-3*c^2*d^2*e*f*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-4*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*e^2*g*x+5*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c*d*e*g*x+3*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c*e^2*f*x-2*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*d*e*g-2*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*b*e^2*f+(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c*d^2*g+7*(-c*e*x-b*e+c*d)^(1/2)*(b*e-2*c*d)^(1/2)*c*d*e*f)/(e*x+d)^(5/2)/(b*e-2*c*d)^(5/2)/e^2/(-c*e*x-b*e+c*d)^(1/2)","B"
2268,1,367,341,0.046000," ","int((e*x+d)^(9/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x)","-\frac{2 \left(c e x +b e -c d \right) \left(-5 g \,e^{4} x^{4} c^{4}+8 b \,c^{3} e^{4} g \,x^{3}-29 c^{4} d \,e^{3} g \,x^{3}-7 c^{4} e^{4} f \,x^{3}-16 b^{2} c^{2} e^{4} g \,x^{2}+74 b \,c^{3} d \,e^{3} g \,x^{2}+14 b \,c^{3} e^{4} f \,x^{2}-93 c^{4} d^{2} e^{2} g \,x^{2}-49 c^{4} d \,e^{3} f \,x^{2}+64 b^{3} c \,e^{4} g x -360 b^{2} c^{2} d \,e^{3} g x -56 b^{2} c^{2} e^{4} f x +668 b \,c^{3} d^{2} e^{2} g x +252 b \,c^{3} d \,e^{3} f x -407 c^{4} d^{3} e g x -301 c^{4} d^{2} e^{2} f x +128 b^{4} e^{4} g -848 b^{3} c d \,e^{3} g -112 b^{3} c \,e^{4} f +2056 b^{2} c^{2} d^{2} e^{2} g +616 b^{2} c^{2} d \,e^{3} f -2150 b \,c^{3} d^{3} e g -1106 b \,c^{3} d^{2} e^{2} f +814 c^{4} d^{4} g +637 f \,d^{3} c^{4} e \right) \left(e x +d \right)^{\frac{3}{2}}}{35 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} c^{5} e^{2}}"," ",0,"-2/35*(c*e*x+b*e-c*d)*(-5*c^4*e^4*g*x^4+8*b*c^3*e^4*g*x^3-29*c^4*d*e^3*g*x^3-7*c^4*e^4*f*x^3-16*b^2*c^2*e^4*g*x^2+74*b*c^3*d*e^3*g*x^2+14*b*c^3*e^4*f*x^2-93*c^4*d^2*e^2*g*x^2-49*c^4*d*e^3*f*x^2+64*b^3*c*e^4*g*x-360*b^2*c^2*d*e^3*g*x-56*b^2*c^2*e^4*f*x+668*b*c^3*d^2*e^2*g*x+252*b*c^3*d*e^3*f*x-407*c^4*d^3*e*g*x-301*c^4*d^2*e^2*f*x+128*b^4*e^4*g-848*b^3*c*d*e^3*g-112*b^3*c*e^4*f+2056*b^2*c^2*d^2*e^2*g+616*b^2*c^2*d*e^3*f-2150*b*c^3*d^3*e*g-1106*b*c^3*d^2*e^2*f+814*c^4*d^4*g+637*c^4*d^3*e*f)*(e*x+d)^(3/2)/c^5/e^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)","A"
2269,1,235,270,0.049000," ","int((e*x+d)^(7/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x)","\frac{2 \left(c e x +b e -c d \right) \left(3 g \,e^{3} x^{3} c^{3}-6 b \,c^{2} e^{3} g \,x^{2}+16 c^{3} d \,e^{2} g \,x^{2}+5 c^{3} e^{3} f \,x^{2}+24 b^{2} c \,e^{3} g x -88 b \,c^{2} d \,e^{2} g x -20 b \,c^{2} e^{3} f x +79 c^{3} d^{2} e g x +50 c^{3} d \,e^{2} f x +48 b^{3} e^{3} g -224 b^{2} c d \,e^{2} g -40 b^{2} c \,e^{3} f +334 b \,c^{2} d^{2} e g +140 b \,c^{2} d \,e^{2} f -158 c^{3} d^{3} g -115 f \,d^{2} c^{3} e \right) \left(e x +d \right)^{\frac{3}{2}}}{15 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} c^{4} e^{2}}"," ",0,"2/15*(c*e*x+b*e-c*d)*(3*c^3*e^3*g*x^3-6*b*c^2*e^3*g*x^2+16*c^3*d*e^2*g*x^2+5*c^3*e^3*f*x^2+24*b^2*c*e^3*g*x-88*b*c^2*d*e^2*g*x-20*b*c^2*e^3*f*x+79*c^3*d^2*e*g*x+50*c^3*d*e^2*f*x+48*b^3*e^3*g-224*b^2*c*d*e^2*g-40*b^2*c*e^3*f+334*b*c^2*d^2*e*g+140*b*c^2*d*e^2*f-158*c^3*d^3*g-115*c^3*d^2*e*f)*(e*x+d)^(3/2)/c^4/e^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)","A"
2270,1,139,201,0.044000," ","int((e*x+d)^(5/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x)","-\frac{2 \left(c e x +b e -c d \right) \left(-g \,x^{2} c^{2} e^{2}+4 b c \,e^{2} g x -7 c^{2} d e g x -3 c^{2} e^{2} f x +8 b^{2} e^{2} g -22 b c d e g -6 b c \,e^{2} f +14 c^{2} d^{2} g +9 c^{2} d e f \right) \left(e x +d \right)^{\frac{3}{2}}}{3 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} c^{3} e^{2}}"," ",0,"-2/3*(c*e*x+b*e-c*d)*(-c^2*e^2*g*x^2+4*b*c*e^2*g*x-7*c^2*d*e*g*x-3*c^2*e^2*f*x+8*b^2*e^2*g-22*b*c*d*e*g-6*b*c*e^2*f+14*c^2*d^2*g+9*c^2*d*e*f)*(e*x+d)^(3/2)/c^3/e^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)","A"
2271,1,78,140,0.046000," ","int((e*x+d)^(3/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x)","\frac{2 \left(c e x +b e -c d \right) \left(c e g x +2 b e g -2 c d g -c e f \right) \left(e x +d \right)^{\frac{3}{2}}}{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} c^{2} e^{2}}"," ",0,"2*(c*e*x+b*e-c*d)*(c*e*g*x+2*b*e*g-2*c*d*g-c*e*f)*(e*x+d)^(3/2)/c^2/e^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)","A"
2272,1,207,143,0.071000," ","int((e*x+d)^(1/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x)","-\frac{2 \left(\sqrt{-c e x -b e +c d}\, c d g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-\sqrt{-c e x -b e +c d}\, c e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+\sqrt{b e -2 c d}\, b e g -\sqrt{b e -2 c d}\, c d g -\sqrt{b e -2 c d}\, c e f \right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}{\left(b e -2 c d \right)^{\frac{3}{2}} \left(c e x +b e -c d \right) \sqrt{e x +d}\, c \,e^{2}}"," ",0,"-2*(arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c*d*g*(-c*e*x-b*e+c*d)^(1/2)-arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c*e*f*(-c*e*x-b*e+c*d)^(1/2)+(b*e-2*c*d)^(1/2)*b*e*g-(b*e-2*c*d)^(1/2)*c*d*g-(b*e-2*c*d)^(1/2)*c*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(b*e-2*c*d)^(3/2)/e^2/c/(c*e*x+b*e-c*d)/(e*x+d)^(1/2)","A"
2273,1,479,206,0.071000," ","int((g*x+f)/(e*x+d)^(1/2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x)","\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, \left(2 \sqrt{-c e x -b e +c d}\, b \,e^{2} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-\sqrt{-c e x -b e +c d}\, c d e g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-3 \sqrt{-c e x -b e +c d}\, c \,e^{2} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+2 \sqrt{-c e x -b e +c d}\, b d e g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+2 \sqrt{b e -2 c d}\, b \,e^{2} g x -\sqrt{-c e x -b e +c d}\, c \,d^{2} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-3 \sqrt{-c e x -b e +c d}\, c d e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-\sqrt{b e -2 c d}\, c d e g x -3 \sqrt{b e -2 c d}\, c \,e^{2} f x +3 \sqrt{b e -2 c d}\, b d e g -\sqrt{b e -2 c d}\, b \,e^{2} f -3 \sqrt{b e -2 c d}\, c \,d^{2} g -\sqrt{b e -2 c d}\, c d e f \right)}{\left(e x +d \right)^{\frac{3}{2}} \left(c e x +b e -c d \right) \left(b e -2 c d \right)^{\frac{5}{2}} e^{2}}"," ",0,"1/(e*x+d)^(3/2)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*(2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*(-c*e*x-b*e+c*d)^(1/2)*x*b*e^2*g-arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*(-c*e*x-b*e+c*d)^(1/2)*x*c*d*e*g-3*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*(-c*e*x-b*e+c*d)^(1/2)*x*c*e^2*f+2*(b*e-2*c*d)^(1/2)*x*b*e^2*g-(b*e-2*c*d)^(1/2)*x*c*d*e*g-3*(b*e-2*c*d)^(1/2)*x*c*e^2*f+2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*(-c*e*x-b*e+c*d)^(1/2)*b*d*e*g-arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*(-c*e*x-b*e+c*d)^(1/2)*c*d^2*g-3*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*(-c*e*x-b*e+c*d)^(1/2)*c*d*e*f+3*(b*e-2*c*d)^(1/2)*b*d*e*g-(b*e-2*c*d)^(1/2)*b*e^2*f-3*(b*e-2*c*d)^(1/2)*c*d^2*g-(b*e-2*c*d)^(1/2)*c*d*e*f)/(c*e*x+b*e-c*d)/e^2/(b*e-2*c*d)^(5/2)","B"
2274,1,824,280,0.092000," ","int((g*x+f)/(e*x+d)^(3/2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x)","-\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, \left(12 \sqrt{-c e x -b e +c d}\, b c \,e^{3} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-9 \sqrt{-c e x -b e +c d}\, c^{2} d \,e^{2} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-15 \sqrt{-c e x -b e +c d}\, c^{2} e^{3} f \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+24 \sqrt{-c e x -b e +c d}\, b c d \,e^{2} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+12 \sqrt{b e -2 c d}\, b c \,e^{3} g \,x^{2}-18 \sqrt{-c e x -b e +c d}\, c^{2} d^{2} e g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-30 \sqrt{-c e x -b e +c d}\, c^{2} d \,e^{2} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-9 \sqrt{b e -2 c d}\, c^{2} d \,e^{2} g \,x^{2}-15 \sqrt{b e -2 c d}\, c^{2} e^{3} f \,x^{2}+4 \sqrt{b e -2 c d}\, b^{2} e^{3} g x +12 \sqrt{-c e x -b e +c d}\, b c \,d^{2} e g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+13 \sqrt{b e -2 c d}\, b c d \,e^{2} g x -5 \sqrt{b e -2 c d}\, b c \,e^{3} f x -9 \sqrt{-c e x -b e +c d}\, c^{2} d^{3} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-15 \sqrt{-c e x -b e +c d}\, c^{2} d^{2} e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-12 \sqrt{b e -2 c d}\, c^{2} d^{2} e g x -20 \sqrt{b e -2 c d}\, c^{2} d \,e^{2} f x +2 \sqrt{b e -2 c d}\, b^{2} d \,e^{2} g +2 \sqrt{b e -2 c d}\, b^{2} e^{3} f +9 \sqrt{b e -2 c d}\, b c \,d^{2} e g -13 \sqrt{b e -2 c d}\, b c d \,e^{2} f -11 \sqrt{b e -2 c d}\, c^{2} d^{3} g +3 \sqrt{b e -2 c d}\, c^{2} d^{2} e f \right)}{4 \left(e x +d \right)^{\frac{5}{2}} \left(c e x +b e -c d \right) \left(b e -2 c d \right)^{\frac{7}{2}} e^{2}}"," ",0,"-1/4/(e*x+d)^(5/2)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*(12*(-c*e*x-b*e+c*d)^(1/2)*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^2*b*c*e^3*g-9*(-c*e*x-b*e+c*d)^(1/2)*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^2*c^2*d*e^2*g-15*(-c*e*x-b*e+c*d)^(1/2)*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^2*c^2*e^3*f+24*(-c*e*x-b*e+c*d)^(1/2)*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*b*c*d*e^2*g-18*(-c*e*x-b*e+c*d)^(1/2)*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*c^2*d^2*e*g-30*(-c*e*x-b*e+c*d)^(1/2)*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*c^2*d*e^2*f+12*(b*e-2*c*d)^(1/2)*x^2*b*c*e^3*g-9*(b*e-2*c*d)^(1/2)*x^2*c^2*d*e^2*g-15*(b*e-2*c*d)^(1/2)*x^2*c^2*e^3*f+12*(-c*e*x-b*e+c*d)^(1/2)*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b*c*d^2*e*g-9*(-c*e*x-b*e+c*d)^(1/2)*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c^2*d^3*g-15*(-c*e*x-b*e+c*d)^(1/2)*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c^2*d^2*e*f+4*(b*e-2*c*d)^(1/2)*x*b^2*e^3*g+13*(b*e-2*c*d)^(1/2)*x*b*c*d*e^2*g-5*(b*e-2*c*d)^(1/2)*x*b*c*e^3*f-12*(b*e-2*c*d)^(1/2)*x*c^2*d^2*e*g-20*(b*e-2*c*d)^(1/2)*x*c^2*d*e^2*f+2*(b*e-2*c*d)^(1/2)*b^2*d*e^2*g+2*(b*e-2*c*d)^(1/2)*b^2*e^3*f+9*(b*e-2*c*d)^(1/2)*b*c*d^2*e*g-13*(b*e-2*c*d)^(1/2)*b*c*d*e^2*f-11*(b*e-2*c*d)^(1/2)*c^2*d^3*g+3*(b*e-2*c*d)^(1/2)*c^2*d^2*e*f)/(c*e*x+b*e-c*d)/e^2/(b*e-2*c*d)^(7/2)","B"
2275,1,1224,353,0.086000," ","int((g*x+f)/(e*x+d)^(5/2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x)","\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, \left(90 \sqrt{-c e x -b e +c d}\, b \,c^{2} e^{4} g \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-75 \sqrt{-c e x -b e +c d}\, c^{3} d \,e^{3} g \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-105 \sqrt{-c e x -b e +c d}\, c^{3} e^{4} f \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+270 \sqrt{-c e x -b e +c d}\, b \,c^{2} d \,e^{3} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+90 \sqrt{b e -2 c d}\, b \,c^{2} e^{4} g \,x^{3}-225 \sqrt{-c e x -b e +c d}\, c^{3} d^{2} e^{2} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-315 \sqrt{-c e x -b e +c d}\, c^{3} d \,e^{3} f \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-75 \sqrt{b e -2 c d}\, c^{3} d \,e^{3} g \,x^{3}-105 \sqrt{b e -2 c d}\, c^{3} e^{4} f \,x^{3}+30 \sqrt{b e -2 c d}\, b^{2} c \,e^{4} g \,x^{2}+270 \sqrt{-c e x -b e +c d}\, b \,c^{2} d^{2} e^{2} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+185 \sqrt{b e -2 c d}\, b \,c^{2} d \,e^{3} g \,x^{2}-35 \sqrt{b e -2 c d}\, b \,c^{2} e^{4} f \,x^{2}-225 \sqrt{-c e x -b e +c d}\, c^{3} d^{3} e g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-315 \sqrt{-c e x -b e +c d}\, c^{3} d^{2} e^{2} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-175 \sqrt{b e -2 c d}\, c^{3} d^{2} e^{2} g \,x^{2}-245 \sqrt{b e -2 c d}\, c^{3} d \,e^{3} f \,x^{2}-12 \sqrt{b e -2 c d}\, b^{3} e^{4} g x +118 \sqrt{b e -2 c d}\, b^{2} c d \,e^{3} g x +14 \sqrt{b e -2 c d}\, b^{2} c \,e^{4} f x +90 \sqrt{-c e x -b e +c d}\, b \,c^{2} d^{3} e g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+12 \sqrt{b e -2 c d}\, b \,c^{2} d^{2} e^{2} g x -126 \sqrt{b e -2 c d}\, b \,c^{2} d \,e^{3} f x -75 \sqrt{-c e x -b e +c d}\, c^{3} d^{4} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-105 \sqrt{-c e x -b e +c d}\, c^{3} d^{3} e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-85 \sqrt{b e -2 c d}\, c^{3} d^{3} e g x -119 \sqrt{b e -2 c d}\, c^{3} d^{2} e^{2} f x -4 \sqrt{b e -2 c d}\, b^{3} d \,e^{3} g -8 \sqrt{b e -2 c d}\, b^{3} e^{4} f +40 \sqrt{b e -2 c d}\, b^{2} c \,d^{2} e^{2} g +62 \sqrt{b e -2 c d}\, b^{2} c d \,e^{3} f +13 \sqrt{b e -2 c d}\, b \,c^{2} d^{3} e g -187 \sqrt{b e -2 c d}\, b \,c^{2} d^{2} e^{2} f -49 \sqrt{b e -2 c d}\, c^{3} d^{4} g +85 \sqrt{b e -2 c d}\, c^{3} d^{3} e f \right)}{24 \left(e x +d \right)^{\frac{7}{2}} \left(c e x +b e -c d \right) \left(b e -2 c d \right)^{\frac{9}{2}} e^{2}}"," ",0,"1/24/(e*x+d)^(7/2)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*(-105*(b*e-2*c*d)^(1/2)*x^3*c^3*e^4*f+270*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*(-c*e*x-b*e+c*d)^(1/2)*x^2*b*c^2*d*e^3*g-12*(b*e-2*c*d)^(1/2)*x*b^3*e^4*g-75*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*(-c*e*x-b*e+c*d)^(1/2)*c^3*d^4*g+270*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*(-c*e*x-b*e+c*d)^(1/2)*x*b*c^2*d^2*e^2*g-8*(b*e-2*c*d)^(1/2)*b^3*e^4*f-49*(b*e-2*c*d)^(1/2)*c^3*d^4*g+40*(b*e-2*c*d)^(1/2)*b^2*c*d^2*e^2*g+62*(b*e-2*c*d)^(1/2)*b^2*c*d*e^3*f+13*(b*e-2*c*d)^(1/2)*b*c^2*d^3*e*g-187*(b*e-2*c*d)^(1/2)*b*c^2*d^2*e^2*f-4*(b*e-2*c*d)^(1/2)*b^3*d*e^3*g+85*(b*e-2*c*d)^(1/2)*c^3*d^3*e*f-105*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*(-c*e*x-b*e+c*d)^(1/2)*x^3*c^3*e^4*f+90*(b*e-2*c*d)^(1/2)*x^3*b*c^2*e^4*g-75*(b*e-2*c*d)^(1/2)*x^3*c^3*d*e^3*g+30*(b*e-2*c*d)^(1/2)*x^2*b^2*c*e^4*g-35*(b*e-2*c*d)^(1/2)*x^2*b*c^2*e^4*f-175*(b*e-2*c*d)^(1/2)*x^2*c^3*d^2*e^2*g-245*(b*e-2*c*d)^(1/2)*x^2*c^3*d*e^3*f+14*(b*e-2*c*d)^(1/2)*x*b^2*c*e^4*f-85*(b*e-2*c*d)^(1/2)*x*c^3*d^3*e*g-119*(b*e-2*c*d)^(1/2)*x*c^3*d^2*e^2*f-105*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*(-c*e*x-b*e+c*d)^(1/2)*c^3*d^3*e*f-225*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*(-c*e*x-b*e+c*d)^(1/2)*x*c^3*d^3*e*g-315*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*(-c*e*x-b*e+c*d)^(1/2)*x*c^3*d^2*e^2*f+118*(b*e-2*c*d)^(1/2)*x*b^2*c*d*e^3*g+12*(b*e-2*c*d)^(1/2)*x*b*c^2*d^2*e^2*g-126*(b*e-2*c*d)^(1/2)*x*b*c^2*d*e^3*f+90*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*(-c*e*x-b*e+c*d)^(1/2)*b*c^2*d^3*e*g+90*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*(-c*e*x-b*e+c*d)^(1/2)*x^3*b*c^2*e^4*g-75*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*(-c*e*x-b*e+c*d)^(1/2)*x^3*c^3*d*e^3*g-225*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*(-c*e*x-b*e+c*d)^(1/2)*x^2*c^3*d^2*e^2*g-315*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*(-c*e*x-b*e+c*d)^(1/2)*x^2*c^3*d*e^3*f+185*(b*e-2*c*d)^(1/2)*x^2*b*c^2*d*e^3*g)/(c*e*x+b*e-c*d)/e^2/(b*e-2*c*d)^(9/2)","B"
2276,1,535,412,0.050000," ","int((e*x+d)^(13/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","-\frac{2 \left(c e x +b e -c d \right) \left(-15 g \,e^{5} x^{5} c^{5}+30 b \,c^{4} e^{5} g \,x^{4}-114 c^{5} d \,e^{4} g \,x^{4}-21 c^{5} e^{5} f \,x^{4}-80 b^{2} c^{3} e^{5} g \,x^{3}+384 b \,c^{4} d \,e^{4} g \,x^{3}+56 b \,c^{4} e^{5} f \,x^{3}-514 c^{5} d^{2} e^{3} g \,x^{3}-196 c^{5} d \,e^{4} f \,x^{3}+480 b^{3} c^{2} e^{5} g \,x^{2}-2784 b^{2} c^{3} d \,e^{4} g \,x^{2}-336 b^{2} c^{3} e^{5} f \,x^{2}+5388 b \,c^{4} d^{2} e^{3} g \,x^{2}+1512 b \,c^{4} d \,e^{4} f \,x^{2}-3504 c^{5} d^{3} e^{2} g \,x^{2}-1806 c^{5} d^{2} e^{3} f \,x^{2}+1920 b^{4} c \,e^{5} g x -13056 b^{3} c^{2} d \,e^{4} g x -1344 b^{3} c^{2} e^{5} f x +32688 b^{2} c^{3} d^{2} e^{3} g x +7392 b^{2} c^{3} d \,e^{4} f x -35568 b \,c^{4} d^{3} e^{2} g x -13272 b \,c^{4} d^{2} e^{3} f x +14121 c^{5} d^{4} e g x +7644 c^{5} d^{3} e^{2} f x +1280 b^{5} e^{5} g -9984 b^{4} c d \,e^{4} g -896 b^{4} c \,e^{5} f +30496 b^{3} c^{2} d^{2} e^{3} g +5824 b^{3} c^{2} d \,e^{4} f -45504 b^{2} c^{3} d^{3} e^{2} g -13776 b^{2} c^{3} d^{2} e^{3} f +33126 b \,c^{4} d^{4} e g +13944 b \,c^{4} d^{3} e^{2} f -9414 c^{5} d^{5} g -5061 f \,d^{4} c^{5} e \right) \left(e x +d \right)^{\frac{5}{2}}}{105 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}} c^{6} e^{2}}"," ",0,"-2/105*(c*e*x+b*e-c*d)*(-15*c^5*e^5*g*x^5+30*b*c^4*e^5*g*x^4-114*c^5*d*e^4*g*x^4-21*c^5*e^5*f*x^4-80*b^2*c^3*e^5*g*x^3+384*b*c^4*d*e^4*g*x^3+56*b*c^4*e^5*f*x^3-514*c^5*d^2*e^3*g*x^3-196*c^5*d*e^4*f*x^3+480*b^3*c^2*e^5*g*x^2-2784*b^2*c^3*d*e^4*g*x^2-336*b^2*c^3*e^5*f*x^2+5388*b*c^4*d^2*e^3*g*x^2+1512*b*c^4*d*e^4*f*x^2-3504*c^5*d^3*e^2*g*x^2-1806*c^5*d^2*e^3*f*x^2+1920*b^4*c*e^5*g*x-13056*b^3*c^2*d*e^4*g*x-1344*b^3*c^2*e^5*f*x+32688*b^2*c^3*d^2*e^3*g*x+7392*b^2*c^3*d*e^4*f*x-35568*b*c^4*d^3*e^2*g*x-13272*b*c^4*d^2*e^3*f*x+14121*c^5*d^4*e*g*x+7644*c^5*d^3*e^2*f*x+1280*b^5*e^5*g-9984*b^4*c*d*e^4*g-896*b^4*c*e^5*f+30496*b^3*c^2*d^2*e^3*g+5824*b^3*c^2*d*e^4*f-45504*b^2*c^3*d^3*e^2*g-13776*b^2*c^3*d^2*e^3*f+33126*b*c^4*d^4*e*g+13944*b*c^4*d^3*e^2*f-9414*c^5*d^5*g-5061*c^5*d^4*e*f)*(e*x+d)^(5/2)/c^6/e^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)","A"
2277,1,367,341,0.048000," ","int((e*x+d)^(11/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","\frac{2 \left(c e x +b e -c d \right) \left(3 g \,e^{4} x^{4} c^{4}-8 b \,c^{3} e^{4} g \,x^{3}+23 c^{4} d \,e^{3} g \,x^{3}+5 c^{4} e^{4} f \,x^{3}+48 b^{2} c^{2} e^{4} g \,x^{2}-186 b \,c^{3} d \,e^{3} g \,x^{2}-30 b \,c^{3} e^{4} f \,x^{2}+183 c^{4} d^{2} e^{2} g \,x^{2}+75 c^{4} d \,e^{3} f \,x^{2}+192 b^{3} c \,e^{4} g x -936 b^{2} c^{2} d \,e^{3} g x -120 b^{2} c^{2} e^{4} f x +1476 b \,c^{3} d^{2} e^{2} g x +420 b \,c^{3} d \,e^{3} f x -747 c^{4} d^{3} e g x -345 c^{4} d^{2} e^{2} f x +128 b^{4} e^{4} g -752 b^{3} c d \,e^{3} g -80 b^{3} c \,e^{4} f +1608 b^{2} c^{2} d^{2} e^{2} g +360 b^{2} c^{2} d \,e^{3} f -1482 b \,c^{3} d^{3} e g -510 b \,c^{3} d^{2} e^{2} f +498 c^{4} d^{4} g +225 c^{4} d^{3} e f \right) \left(e x +d \right)^{\frac{5}{2}}}{15 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}} c^{5} e^{2}}"," ",0,"2/15*(c*e*x+b*e-c*d)*(3*c^4*e^4*g*x^4-8*b*c^3*e^4*g*x^3+23*c^4*d*e^3*g*x^3+5*c^4*e^4*f*x^3+48*b^2*c^2*e^4*g*x^2-186*b*c^3*d*e^3*g*x^2-30*b*c^3*e^4*f*x^2+183*c^4*d^2*e^2*g*x^2+75*c^4*d*e^3*f*x^2+192*b^3*c*e^4*g*x-936*b^2*c^2*d*e^3*g*x-120*b^2*c^2*e^4*f*x+1476*b*c^3*d^2*e^2*g*x+420*b*c^3*d*e^3*f*x-747*c^4*d^3*e*g*x-345*c^4*d^2*e^2*f*x+128*b^4*e^4*g-752*b^3*c*d*e^3*g-80*b^3*c*e^4*f+1608*b^2*c^2*d^2*e^2*g+360*b^2*c^2*d*e^3*f-1482*b*c^3*d^3*e*g-510*b*c^3*d^2*e^2*f+498*c^4*d^4*g+225*c^4*d^3*e*f)*(e*x+d)^(5/2)/c^5/e^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)","A"
2278,1,235,267,0.047000," ","int((e*x+d)^(9/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","-\frac{2 \left(c e x +b e -c d \right) \left(-g \,e^{3} x^{3} c^{3}+6 b \,c^{2} e^{3} g \,x^{2}-12 c^{3} d \,e^{2} g \,x^{2}-3 c^{3} e^{3} f \,x^{2}+24 b^{2} c \,e^{3} g x -72 b \,c^{2} d \,e^{2} g x -12 b \,c^{2} e^{3} f x +51 c^{3} d^{2} e g x +18 c^{3} d \,e^{2} f x +16 b^{3} e^{3} g -64 b^{2} c d \,e^{2} g -8 b^{2} c \,e^{3} f +82 b \,c^{2} d^{2} e g +20 b \,c^{2} d \,e^{2} f -34 c^{3} d^{3} g -11 f \,d^{2} c^{3} e \right) \left(e x +d \right)^{\frac{5}{2}}}{3 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}} c^{4} e^{2}}"," ",0,"-2/3*(c*e*x+b*e-c*d)*(-c^3*e^3*g*x^3+6*b*c^2*e^3*g*x^2-12*c^3*d*e^2*g*x^2-3*c^3*e^3*f*x^2+24*b^2*c*e^3*g*x-72*b*c^2*d*e^2*g*x-12*b*c^2*e^3*f*x+51*c^3*d^2*e*g*x+18*c^3*d*e^2*f*x+16*b^3*e^3*g-64*b^2*c*d*e^2*g-8*b^2*c*e^3*f+82*b*c^2*d^2*e*g+20*b*c^2*d*e^2*f-34*c^3*d^3*g-11*c^3*d^2*e*f)*(e*x+d)^(5/2)/c^4/e^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)","A"
2279,1,138,199,0.043000," ","int((e*x+d)^(7/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","\frac{2 \left(c e x +b e -c d \right) \left(3 g \,x^{2} c^{2} e^{2}+12 b c \,e^{2} g x -15 c^{2} d e g x -3 c^{2} e^{2} f x +8 b^{2} e^{2} g -18 b c d e g -2 b c \,e^{2} f +10 c^{2} d^{2} g +c^{2} d e f \right) \left(e x +d \right)^{\frac{5}{2}}}{3 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}} c^{3} e^{2}}"," ",0,"2/3*(c*e*x+b*e-c*d)*(3*c^2*e^2*g*x^2+12*b*c*e^2*g*x-15*c^2*d*e*g*x-3*c^2*e^2*f*x+8*b^2*e^2*g-18*b*c*d*e*g-2*b*c*e^2*f+10*c^2*d^2*g+c^2*d*e*f)*(e*x+d)^(5/2)/c^3/e^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)","A"
2280,1,78,140,0.044000," ","int((e*x+d)^(5/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","-\frac{2 \left(c e x +b e -c d \right) \left(3 c e g x +2 b e g -2 c d g +c e f \right) \left(e x +d \right)^{\frac{5}{2}}}{3 \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}} c^{2} e^{2}}"," ",0,"-2/3*(c*e*x+b*e-c*d)*(3*c*e*g*x+2*b*e*g-2*c*d*g+c*e*f)*(e*x+d)^(5/2)/c^2/e^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)","A"
2281,1,485,203,0.072000," ","int((e*x+d)^(3/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","\frac{2 \left(3 \sqrt{-c e x -b e +c d}\, c^{2} d e g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-3 \sqrt{-c e x -b e +c d}\, c^{2} e^{2} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+3 \sqrt{-c e x -b e +c d}\, b c d e g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-3 \sqrt{-c e x -b e +c d}\, b c \,e^{2} f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-3 \sqrt{-c e x -b e +c d}\, c^{2} d^{2} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+3 \sqrt{-c e x -b e +c d}\, c^{2} d e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+3 \sqrt{b e -2 c d}\, c^{2} d e g x -3 \sqrt{b e -2 c d}\, c^{2} e^{2} f x +\sqrt{b e -2 c d}\, b^{2} e^{2} g -4 \sqrt{b e -2 c d}\, b c \,e^{2} f -\sqrt{b e -2 c d}\, c^{2} d^{2} g +5 \sqrt{b e -2 c d}\, c^{2} d e f \right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}{3 \left(b e -2 c d \right)^{\frac{5}{2}} \left(c e x +b e -c d \right)^{2} \sqrt{e x +d}\, c \,e^{2}}"," ",0,"2/3*(3*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*c^2*d*e*g*(-c*e*x-b*e+c*d)^(1/2)-3*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*c^2*e^2*f*(-c*e*x-b*e+c*d)^(1/2)+3*(-c*e*x-b*e+c*d)^(1/2)*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b*c*d*e*g-3*(-c*e*x-b*e+c*d)^(1/2)*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b*c*e^2*f-3*(-c*e*x-b*e+c*d)^(1/2)*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c^2*d^2*g+3*(-c*e*x-b*e+c*d)^(1/2)*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c^2*d*e*f+3*(b*e-2*c*d)^(1/2)*x*c^2*d*e*g-3*(b*e-2*c*d)^(1/2)*x*c^2*e^2*f+(b*e-2*c*d)^(1/2)*b^2*e^2*g-4*(b*e-2*c*d)^(1/2)*b*c*e^2*f-(b*e-2*c*d)^(1/2)*c^2*d^2*g+5*(b*e-2*c*d)^(1/2)*c^2*d*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(b*e-2*c*d)^(5/2)/e^2/c/(c*e*x+b*e-c*d)^2/(e*x+d)^(1/2)","B"
2282,1,904,288,0.082000," ","int((e*x+d)^(1/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","-\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, \left(6 \sqrt{-c e x -b e +c d}\, b c \,e^{3} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+3 \sqrt{-c e x -b e +c d}\, c^{2} d \,e^{2} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-15 \sqrt{-c e x -b e +c d}\, c^{2} e^{3} f \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+6 \sqrt{-c e x -b e +c d}\, b^{2} e^{3} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+3 \sqrt{-c e x -b e +c d}\, b c d \,e^{2} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-15 \sqrt{-c e x -b e +c d}\, b c \,e^{3} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+6 \sqrt{b e -2 c d}\, b c \,e^{3} g \,x^{2}+3 \sqrt{b e -2 c d}\, c^{2} d \,e^{2} g \,x^{2}-15 \sqrt{b e -2 c d}\, c^{2} e^{3} f \,x^{2}+6 \sqrt{-c e x -b e +c d}\, b^{2} d \,e^{2} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+8 \sqrt{b e -2 c d}\, b^{2} e^{3} g x -3 \sqrt{-c e x -b e +c d}\, b c \,d^{2} e g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-15 \sqrt{-c e x -b e +c d}\, b c d \,e^{2} f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-20 \sqrt{b e -2 c d}\, b c \,e^{3} f x -3 \sqrt{-c e x -b e +c d}\, c^{2} d^{3} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+15 \sqrt{-c e x -b e +c d}\, c^{2} d^{2} e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-2 \sqrt{b e -2 c d}\, c^{2} d^{2} e g x +10 \sqrt{b e -2 c d}\, c^{2} d \,e^{2} f x +11 \sqrt{b e -2 c d}\, b^{2} d \,e^{2} g -3 \sqrt{b e -2 c d}\, b^{2} e^{3} f -18 \sqrt{b e -2 c d}\, b c \,d^{2} e g -8 \sqrt{b e -2 c d}\, b c d \,e^{2} f +7 \sqrt{b e -2 c d}\, c^{2} d^{3} g +13 \sqrt{b e -2 c d}\, c^{2} d^{2} e f \right)}{3 \left(e x +d \right)^{\frac{3}{2}} \left(c e x +b e -c d \right)^{2} \left(b e -2 c d \right)^{\frac{7}{2}} e^{2}}"," ",0,"-1/3*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*(6*(-c*e*x-b*e+c*d)^(1/2)*b*c*e^3*g*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+3*(-c*e*x-b*e+c*d)^(1/2)*c^2*d*e^2*g*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-15*(-c*e*x-b*e+c*d)^(1/2)*c^2*e^3*f*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+6*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*b^2*e^3*g*(-c*e*x-b*e+c*d)^(1/2)+3*(-c*e*x-b*e+c*d)^(1/2)*b*c*d*e^2*g*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-15*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*b*c*e^3*f*(-c*e*x-b*e+c*d)^(1/2)+6*(b*e-2*c*d)^(1/2)*b*c*e^3*g*x^2+3*(b*e-2*c*d)^(1/2)*c^2*d*e^2*g*x^2-15*(b*e-2*c*d)^(1/2)*c^2*e^3*f*x^2+6*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b^2*d*e^2*g*(-c*e*x-b*e+c*d)^(1/2)-3*(-c*e*x-b*e+c*d)^(1/2)*b*c*d^2*e*g*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-15*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b*c*d*e^2*f*(-c*e*x-b*e+c*d)^(1/2)-3*(-c*e*x-b*e+c*d)^(1/2)*c^2*d^3*g*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+15*(-c*e*x-b*e+c*d)^(1/2)*c^2*d^2*e*f*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+8*(b*e-2*c*d)^(1/2)*b^2*e^3*g*x-20*(b*e-2*c*d)^(1/2)*b*c*e^3*f*x-2*(b*e-2*c*d)^(1/2)*c^2*d^2*e*g*x+10*(b*e-2*c*d)^(1/2)*c^2*d*e^2*f*x+11*(b*e-2*c*d)^(1/2)*b^2*d*e^2*g-3*(b*e-2*c*d)^(1/2)*b^2*e^3*f-18*(b*e-2*c*d)^(1/2)*b*c*d^2*e*g-8*(b*e-2*c*d)^(1/2)*b*c*d*e^2*f+7*(b*e-2*c*d)^(1/2)*c^2*d^3*g+13*(b*e-2*c*d)^(1/2)*c^2*d^2*e*f)/(e*x+d)^(3/2)/(c*e*x+b*e-c*d)^2/e^2/(b*e-2*c*d)^(7/2)","B"
2283,1,1528,344,0.083000," ","int((g*x+f)/(e*x+d)^(1/2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, \left(60 \sqrt{-c e x -b e +c d}\, b \,c^{2} e^{4} g \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-15 \sqrt{-c e x -b e +c d}\, c^{3} d \,e^{3} g \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-105 \sqrt{-c e x -b e +c d}\, c^{3} e^{4} f \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+60 \sqrt{-c e x -b e +c d}\, b^{2} c \,e^{4} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+45 \sqrt{-c e x -b e +c d}\, b \,c^{2} d \,e^{3} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-105 \sqrt{-c e x -b e +c d}\, b \,c^{2} e^{4} f \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+60 \sqrt{b e -2 c d}\, b \,c^{2} e^{4} g \,x^{3}-15 \sqrt{-c e x -b e +c d}\, c^{3} d^{2} e^{2} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-105 \sqrt{-c e x -b e +c d}\, c^{3} d \,e^{3} f \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-15 \sqrt{b e -2 c d}\, c^{3} d \,e^{3} g \,x^{3}-105 \sqrt{b e -2 c d}\, c^{3} e^{4} f \,x^{3}+120 \sqrt{-c e x -b e +c d}\, b^{2} c d \,e^{3} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+80 \sqrt{b e -2 c d}\, b^{2} c \,e^{4} g \,x^{2}-90 \sqrt{-c e x -b e +c d}\, b \,c^{2} d^{2} e^{2} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-210 \sqrt{-c e x -b e +c d}\, b \,c^{2} d \,e^{3} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-140 \sqrt{b e -2 c d}\, b \,c^{2} e^{4} f \,x^{2}+15 \sqrt{-c e x -b e +c d}\, c^{3} d^{3} e g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+105 \sqrt{-c e x -b e +c d}\, c^{3} d^{2} e^{2} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-5 \sqrt{b e -2 c d}\, c^{3} d^{2} e^{2} g \,x^{2}-35 \sqrt{b e -2 c d}\, c^{3} d \,e^{3} f \,x^{2}+12 \sqrt{b e -2 c d}\, b^{3} e^{4} g x +60 \sqrt{-c e x -b e +c d}\, b^{2} c \,d^{2} e^{2} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+109 \sqrt{b e -2 c d}\, b^{2} c d \,e^{3} g x -21 \sqrt{b e -2 c d}\, b^{2} c \,e^{4} f x -75 \sqrt{-c e x -b e +c d}\, b \,c^{2} d^{3} e g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-105 \sqrt{-c e x -b e +c d}\, b \,c^{2} d^{2} e^{2} f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-120 \sqrt{b e -2 c d}\, b \,c^{2} d^{2} e^{2} g x -196 \sqrt{b e -2 c d}\, b \,c^{2} d \,e^{3} f x +15 \sqrt{-c e x -b e +c d}\, c^{3} d^{4} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+105 \sqrt{-c e x -b e +c d}\, c^{3} d^{3} e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+23 \sqrt{b e -2 c d}\, c^{3} d^{3} e g x +161 \sqrt{b e -2 c d}\, c^{3} d^{2} e^{2} f x +6 \sqrt{b e -2 c d}\, b^{3} d \,e^{3} g +6 \sqrt{b e -2 c d}\, b^{3} e^{4} f +65 \sqrt{b e -2 c d}\, b^{2} c \,d^{2} e^{2} g -57 \sqrt{b e -2 c d}\, b^{2} c d \,e^{3} f -132 \sqrt{b e -2 c d}\, b \,c^{2} d^{3} e g +16 \sqrt{b e -2 c d}\, b \,c^{2} d^{2} e^{2} f +61 \sqrt{b e -2 c d}\, c^{3} d^{4} g +43 \sqrt{b e -2 c d}\, c^{3} d^{3} e f \right)}{12 \left(e x +d \right)^{\frac{5}{2}} \left(c e x +b e -c d \right)^{2} \left(b e -2 c d \right)^{\frac{9}{2}} e^{2}}"," ",0,"1/12*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*(-105*(b*e-2*c*d)^(1/2)*c^3*e^4*f*x^3+45*(-c*e*x-b*e+c*d)^(1/2)*b*c^2*d*e^3*g*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+12*(b*e-2*c*d)^(1/2)*b^3*e^4*g*x+15*(-c*e*x-b*e+c*d)^(1/2)*c^3*d^4*g*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-90*(-c*e*x-b*e+c*d)^(1/2)*b*c^2*d^2*e^2*g*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+6*(b*e-2*c*d)^(1/2)*b^3*e^4*f+61*(b*e-2*c*d)^(1/2)*c^3*d^4*g+120*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*b^2*c*d*e^3*g*(-c*e*x-b*e+c*d)^(1/2)-210*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*b*c^2*d*e^3*f*(-c*e*x-b*e+c*d)^(1/2)+65*(b*e-2*c*d)^(1/2)*b^2*c*d^2*e^2*g-57*(b*e-2*c*d)^(1/2)*b^2*c*d*e^3*f-132*(b*e-2*c*d)^(1/2)*b*c^2*d^3*e*g+16*(b*e-2*c*d)^(1/2)*b*c^2*d^2*e^2*f+6*(b*e-2*c*d)^(1/2)*b^3*d*e^3*g+43*(b*e-2*c*d)^(1/2)*c^3*d^3*e*f+60*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^2*b^2*c*e^4*g*(-c*e*x-b*e+c*d)^(1/2)-105*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^2*b*c^2*e^4*f*(-c*e*x-b*e+c*d)^(1/2)+60*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b^2*c*d^2*e^2*g*(-c*e*x-b*e+c*d)^(1/2)-105*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b*c^2*d^2*e^2*f*(-c*e*x-b*e+c*d)^(1/2)-105*(-c*e*x-b*e+c*d)^(1/2)*c^3*e^4*f*x^3*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+60*(b*e-2*c*d)^(1/2)*b*c^2*e^4*g*x^3-15*(b*e-2*c*d)^(1/2)*c^3*d*e^3*g*x^3+80*(b*e-2*c*d)^(1/2)*b^2*c*e^4*g*x^2-140*(b*e-2*c*d)^(1/2)*b*c^2*e^4*f*x^2-5*(b*e-2*c*d)^(1/2)*c^3*d^2*e^2*g*x^2-35*(b*e-2*c*d)^(1/2)*c^3*d*e^3*f*x^2-21*(b*e-2*c*d)^(1/2)*b^2*c*e^4*f*x+23*(b*e-2*c*d)^(1/2)*c^3*d^3*e*g*x+161*(b*e-2*c*d)^(1/2)*c^3*d^2*e^2*f*x+105*(-c*e*x-b*e+c*d)^(1/2)*c^3*d^3*e*f*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+15*(-c*e*x-b*e+c*d)^(1/2)*c^3*d^3*e*g*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+105*(-c*e*x-b*e+c*d)^(1/2)*c^3*d^2*e^2*f*x*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+109*(b*e-2*c*d)^(1/2)*b^2*c*d*e^3*g*x-120*(b*e-2*c*d)^(1/2)*b*c^2*d^2*e^2*g*x-196*(b*e-2*c*d)^(1/2)*b*c^2*d*e^3*f*x-75*(-c*e*x-b*e+c*d)^(1/2)*b*c^2*d^3*e*g*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))+60*(-c*e*x-b*e+c*d)^(1/2)*b*c^2*e^4*g*x^3*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-15*(-c*e*x-b*e+c*d)^(1/2)*c^3*d*e^3*g*x^3*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-15*(-c*e*x-b*e+c*d)^(1/2)*c^3*d^2*e^2*g*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))-105*(-c*e*x-b*e+c*d)^(1/2)*c^3*d*e^3*f*x^2*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2)))/(e*x+d)^(5/2)/(c*e*x+b*e-c*d)^2/e^2/(b*e-2*c*d)^(9/2)","B"
2284,1,2011,418,0.112000," ","int((g*x+f)/(e*x+d)^(3/2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","-\frac{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, \left(210 \sqrt{-c e x -b e +c d}\, b \,c^{3} e^{5} g \,x^{4} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-105 \sqrt{-c e x -b e +c d}\, c^{4} d \,e^{4} g \,x^{4} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-315 \sqrt{-c e x -b e +c d}\, c^{4} e^{5} f \,x^{4} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+210 \sqrt{-c e x -b e +c d}\, b^{2} c^{2} e^{5} g \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+315 \sqrt{-c e x -b e +c d}\, b \,c^{3} d \,e^{4} g \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-315 \sqrt{-c e x -b e +c d}\, b \,c^{3} e^{5} f \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+210 \sqrt{b e -2 c d}\, b \,c^{3} e^{5} g \,x^{4}-210 \sqrt{-c e x -b e +c d}\, c^{4} d^{2} e^{3} g \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-630 \sqrt{-c e x -b e +c d}\, c^{4} d \,e^{4} f \,x^{3} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-105 \sqrt{b e -2 c d}\, c^{4} d \,e^{4} g \,x^{4}-315 \sqrt{b e -2 c d}\, c^{4} e^{5} f \,x^{4}+630 \sqrt{-c e x -b e +c d}\, b^{2} c^{2} d \,e^{4} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+280 \sqrt{b e -2 c d}\, b^{2} c^{2} e^{5} g \,x^{3}-315 \sqrt{-c e x -b e +c d}\, b \,c^{3} d^{2} e^{3} g \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-945 \sqrt{-c e x -b e +c d}\, b \,c^{3} d \,e^{4} f \,x^{2} \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+140 \sqrt{b e -2 c d}\, b \,c^{3} d \,e^{4} g \,x^{3}-420 \sqrt{b e -2 c d}\, b \,c^{3} e^{5} f \,x^{3}-140 \sqrt{b e -2 c d}\, c^{4} d^{2} e^{3} g \,x^{3}-420 \sqrt{b e -2 c d}\, c^{4} d \,e^{4} f \,x^{3}+42 \sqrt{b e -2 c d}\, b^{3} c \,e^{5} g \,x^{2}+630 \sqrt{-c e x -b e +c d}\, b^{2} c^{2} d^{2} e^{3} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+651 \sqrt{b e -2 c d}\, b^{2} c^{2} d \,e^{4} g \,x^{2}-63 \sqrt{b e -2 c d}\, b^{2} c^{2} e^{5} f \,x^{2}-735 \sqrt{-c e x -b e +c d}\, b \,c^{3} d^{3} e^{2} g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-945 \sqrt{-c e x -b e +c d}\, b \,c^{3} d^{2} e^{3} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-588 \sqrt{b e -2 c d}\, b \,c^{3} d^{2} e^{3} g \,x^{2}-1008 \sqrt{b e -2 c d}\, b \,c^{3} d \,e^{4} f \,x^{2}+210 \sqrt{-c e x -b e +c d}\, c^{4} d^{4} e g x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+630 \sqrt{-c e x -b e +c d}\, c^{4} d^{3} e^{2} f x \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+126 \sqrt{b e -2 c d}\, c^{4} d^{3} e^{2} g \,x^{2}+378 \sqrt{b e -2 c d}\, c^{4} d^{2} e^{3} f \,x^{2}-12 \sqrt{b e -2 c d}\, b^{4} e^{5} g x +162 \sqrt{b e -2 c d}\, b^{3} c d \,e^{4} g x +18 \sqrt{b e -2 c d}\, b^{3} c \,e^{5} f x +210 \sqrt{-c e x -b e +c d}\, b^{2} c^{2} d^{3} e^{2} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+282 \sqrt{b e -2 c d}\, b^{2} c^{2} d^{2} e^{3} g x -234 \sqrt{b e -2 c d}\, b^{2} c^{2} d \,e^{4} f x -315 \sqrt{-c e x -b e +c d}\, b \,c^{3} d^{4} e g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-315 \sqrt{-c e x -b e +c d}\, b \,c^{3} d^{3} e^{2} f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)-588 \sqrt{b e -2 c d}\, b \,c^{3} d^{3} e^{2} g x -540 \sqrt{b e -2 c d}\, b \,c^{3} d^{2} e^{3} f x +105 \sqrt{-c e x -b e +c d}\, c^{4} d^{5} g \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+315 \sqrt{-c e x -b e +c d}\, c^{4} d^{4} e f \arctan \left(\frac{\sqrt{-c e x -b e +c d}}{\sqrt{b e -2 c d}}\right)+204 \sqrt{b e -2 c d}\, c^{4} d^{4} e g x +612 \sqrt{b e -2 c d}\, c^{4} d^{3} e^{2} f x -4 \sqrt{b e -2 c d}\, b^{4} d \,e^{4} g -8 \sqrt{b e -2 c d}\, b^{4} e^{5} f +56 \sqrt{b e -2 c d}\, b^{3} c \,d^{2} e^{3} g +82 \sqrt{b e -2 c d}\, b^{3} c d \,e^{4} f +103 \sqrt{b e -2 c d}\, b^{2} c^{2} d^{3} e^{2} g -363 \sqrt{b e -2 c d}\, b^{2} c^{2} d^{2} e^{3} f -326 \sqrt{b e -2 c d}\, b \,c^{3} d^{4} e g +304 \sqrt{b e -2 c d}\, b \,c^{3} d^{3} e^{2} f +171 \sqrt{b e -2 c d}\, c^{4} d^{5} g +\sqrt{b e -2 c d}\, c^{4} d^{4} e f \right)}{24 \left(e x +d \right)^{\frac{7}{2}} \left(c e x +b e -c d \right)^{2} \left(b e -2 c d \right)^{\frac{11}{2}} e^{2}}"," ",0,"-1/24*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)*(-945*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^2*b*c^3*d*e^4*f*(-c*e*x-b*e+c*d)^(1/2)+630*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*b^2*c^2*d^2*e^3*g*(-c*e*x-b*e+c*d)^(1/2)-735*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*b*c^3*d^3*e^2*g*(-c*e*x-b*e+c*d)^(1/2)-945*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*b*c^3*d^2*e^3*f*(-c*e*x-b*e+c*d)^(1/2)-315*(b*e-2*c*d)^(1/2)*x^4*c^4*e^5*f-8*(b*e-2*c*d)^(1/2)*b^4*e^5*f+171*(b*e-2*c*d)^(1/2)*c^4*d^5*g+315*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^3*b*c^3*d*e^4*g*(-c*e*x-b*e+c*d)^(1/2)+630*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^2*b^2*c^2*d*e^4*g*(-c*e*x-b*e+c*d)^(1/2)-315*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^2*b*c^3*d^2*e^3*g*(-c*e*x-b*e+c*d)^(1/2)-4*(b*e-2*c*d)^(1/2)*b^4*d*e^4*g+(b*e-2*c*d)^(1/2)*c^4*d^4*e*f-12*(b*e-2*c*d)^(1/2)*x*b^4*e^5*g+105*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c^4*d^5*g*(-c*e*x-b*e+c*d)^(1/2)+282*(b*e-2*c*d)^(1/2)*x*b^2*c^2*d^2*e^3*g-234*(b*e-2*c*d)^(1/2)*x*b^2*c^2*d*e^4*f-588*(b*e-2*c*d)^(1/2)*x*b*c^3*d^3*e^2*g-540*(b*e-2*c*d)^(1/2)*x*b*c^3*d^2*e^3*f+210*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^4*b*c^3*e^5*g*(-c*e*x-b*e+c*d)^(1/2)-105*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^4*c^4*d*e^4*g*(-c*e*x-b*e+c*d)^(1/2)+210*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^3*b^2*c^2*e^5*g*(-c*e*x-b*e+c*d)^(1/2)-315*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^3*b*c^3*e^5*f*(-c*e*x-b*e+c*d)^(1/2)-210*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^3*c^4*d^2*e^3*g*(-c*e*x-b*e+c*d)^(1/2)-630*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^3*c^4*d*e^4*f*(-c*e*x-b*e+c*d)^(1/2)+210*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*c^4*d^4*e*g*(-c*e*x-b*e+c*d)^(1/2)+630*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x*c^4*d^3*e^2*f*(-c*e*x-b*e+c*d)^(1/2)+210*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b^2*c^2*d^3*e^2*g*(-c*e*x-b*e+c*d)^(1/2)-315*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b*c^3*d^4*e*g*(-c*e*x-b*e+c*d)^(1/2)-315*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*b*c^3*d^3*e^2*f*(-c*e*x-b*e+c*d)^(1/2)+140*(b*e-2*c*d)^(1/2)*x^3*b*c^3*d*e^4*g+651*(b*e-2*c*d)^(1/2)*x^2*b^2*c^2*d*e^4*g-588*(b*e-2*c*d)^(1/2)*x^2*b*c^3*d^2*e^3*g-1008*(b*e-2*c*d)^(1/2)*x^2*b*c^3*d*e^4*f+162*(b*e-2*c*d)^(1/2)*x*b^3*c*d*e^4*g+204*(b*e-2*c*d)^(1/2)*x*c^4*d^4*e*g+612*(b*e-2*c*d)^(1/2)*x*c^4*d^3*e^2*f+210*(b*e-2*c*d)^(1/2)*x^4*b*c^3*e^5*g-105*(b*e-2*c*d)^(1/2)*x^4*c^4*d*e^4*g+315*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*c^4*d^4*e*f*(-c*e*x-b*e+c*d)^(1/2)-315*arctan((-c*e*x-b*e+c*d)^(1/2)/(b*e-2*c*d)^(1/2))*x^4*c^4*e^5*f*(-c*e*x-b*e+c*d)^(1/2)-420*(b*e-2*c*d)^(1/2)*x^3*c^4*d*e^4*f+42*(b*e-2*c*d)^(1/2)*x^2*b^3*c*e^5*g-63*(b*e-2*c*d)^(1/2)*x^2*b^2*c^2*e^5*f+126*(b*e-2*c*d)^(1/2)*x^2*c^4*d^3*e^2*g+378*(b*e-2*c*d)^(1/2)*x^2*c^4*d^2*e^3*f+18*(b*e-2*c*d)^(1/2)*x*b^3*c*e^5*f-140*(b*e-2*c*d)^(1/2)*x^3*c^4*d^2*e^3*g+280*(b*e-2*c*d)^(1/2)*x^3*b^2*c^2*e^5*g-420*(b*e-2*c*d)^(1/2)*x^3*b*c^3*e^5*f+56*(b*e-2*c*d)^(1/2)*b^3*c*d^2*e^3*g+82*(b*e-2*c*d)^(1/2)*b^3*c*d*e^4*f+103*(b*e-2*c*d)^(1/2)*b^2*c^2*d^3*e^2*g-363*(b*e-2*c*d)^(1/2)*b^2*c^2*d^2*e^3*f-326*(b*e-2*c*d)^(1/2)*b*c^3*d^4*e*g+304*(b*e-2*c*d)^(1/2)*b*c^3*d^3*e^2*f)/(e*x+d)^(7/2)/(c*e*x+b*e-c*d)^2/e^2/(b*e-2*c*d)^(11/2)","B"
2285,0,0,209,1.490000," ","int((e*x+d)^m*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","\int \left(g x +f \right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}} \left(e x +d \right)^{m}\, dx"," ",0,"int((e*x+d)^m*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","F"
2286,0,0,207,2.211000," ","int((e*x+d)^m*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x)","\int \left(g x +f \right) \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}} \left(e x +d \right)^{m}\, dx"," ",0,"int((e*x+d)^m*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x)","F"
2287,0,0,196,1.368000," ","int((e*x+d)^m*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x)","\int \left(g x +f \right) \sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}\, \left(e x +d \right)^{m}\, dx"," ",0,"int((e*x+d)^m*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x)","F"
2288,0,0,195,1.377000," ","int((e*x+d)^m*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x)","\int \frac{\left(g x +f \right) \left(e x +d \right)^{m}}{\sqrt{-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}\, dx"," ",0,"int((e*x+d)^m*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x)","F"
2289,0,0,200,1.367000," ","int((e*x+d)^m*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x)","\int \frac{\left(g x +f \right) \left(e x +d \right)^{m}}{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"int((e*x+d)^m*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x)","F"
2290,0,0,212,1.368000," ","int((e*x+d)^m*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","\int \frac{\left(g x +f \right) \left(e x +d \right)^{m}}{\left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"int((e*x+d)^m*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x)","F"
2291,1,56,42,0.055000," ","int((e*x+d)^m*(c*d*m-b*e*(m+p+1)-c*e*(m+2*p+2)*x)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^p,x)","-\frac{\left(c e x +b e -c d \right) \left(e x +d \right)^{m +1} \left(-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right)^{p}}{e}"," ",0,"-(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^p*(e*x+d)^(m+1)*(c*e*x+b*e-c*d)/e","A"
2292,1,98,64,0.048000," ","int((e*x+d)^(-2*p-3)*(g*x+f)*(d*(d*g*p+d*g+e*f)+e*(2*d*g*p+3*d*g+e*f)*x+e^2*g*(p+2)*x^2)^p,x)","-\frac{\left(e g x p +d g p +2 e g x +d g +e f \right) \left(e x +d \right)^{-2 p -2} \left(e^{2} g \,x^{2} p +2 d e g p x +2 e^{2} g \,x^{2}+d^{2} g p +3 d e g x +e^{2} f x +d^{2} g +d e f \right)^{p}}{\left(p +2\right) e^{2}}"," ",0,"-(e*x+d)^(-2*p-2)*(e*g*p*x+d*g*p+2*e*g*x+d*g+e*f)/e^2/(p+2)*(e^2*g*p*x^2+2*d*e*g*p*x+2*e^2*g*x^2+d^2*g*p+3*d*e*g*x+e^2*f*x+d^2*g+d*e*f)^p","A"
2293,1,449,143,0.058000," ","int((e*x+d)^2*(g*x+f)/(-c*g^2*x^2-b*g^2*x-b*f*g+c*f^2)^2,x)","\frac{b^{2} e^{2} \ln \left(c g x +b g -c f \right)}{\left(b g -2 c f \right)^{2} c^{2} g}-\frac{4 b \,e^{2} f \ln \left(c g x +b g -c f \right)}{\left(b g -2 c f \right)^{2} c \,g^{2}}+\frac{d^{2} \ln \left(g x +f \right)}{\left(b g -2 c f \right)^{2} g}-\frac{d^{2} \ln \left(c g x +b g -c f \right)}{\left(b g -2 c f \right)^{2} g}-\frac{2 d e f \ln \left(g x +f \right)}{\left(b g -2 c f \right)^{2} g^{2}}+\frac{2 d e f \ln \left(c g x +b g -c f \right)}{\left(b g -2 c f \right)^{2} g^{2}}+\frac{e^{2} f^{2} \ln \left(g x +f \right)}{\left(b g -2 c f \right)^{2} g^{3}}+\frac{3 e^{2} f^{2} \ln \left(c g x +b g -c f \right)}{\left(b g -2 c f \right)^{2} g^{3}}+\frac{b^{2} e^{2}}{\left(b g -2 c f \right) \left(c g x +b g -c f \right) c^{2} g}-\frac{2 b d e}{\left(b g -2 c f \right) \left(c g x +b g -c f \right) c g}-\frac{2 b \,e^{2} f}{\left(b g -2 c f \right) \left(c g x +b g -c f \right) c \,g^{2}}+\frac{d^{2}}{\left(b g -2 c f \right) \left(c g x +b g -c f \right) g}+\frac{2 d e f}{\left(b g -2 c f \right) \left(c g x +b g -c f \right) g^{2}}+\frac{e^{2} f^{2}}{\left(b g -2 c f \right) \left(c g x +b g -c f \right) g^{3}}"," ",0,"1/g/(b*g-2*c*f)^2/c^2*ln(c*g*x+b*g-c*f)*b^2*e^2-4/g^2/(b*g-2*c*f)^2/c*ln(c*g*x+b*g-c*f)*b*e^2*f-1/g/(b*g-2*c*f)^2*ln(c*g*x+b*g-c*f)*d^2+2/g^2/(b*g-2*c*f)^2*ln(c*g*x+b*g-c*f)*d*e*f+3/g^3/(b*g-2*c*f)^2*ln(c*g*x+b*g-c*f)*e^2*f^2+1/c^2/g/(b*g-2*c*f)/(c*g*x+b*g-c*f)*b^2*e^2-2/c/g/(b*g-2*c*f)/(c*g*x+b*g-c*f)*b*d*e-2/c/g^2/(b*g-2*c*f)/(c*g*x+b*g-c*f)*b*e^2*f+1/g/(b*g-2*c*f)/(c*g*x+b*g-c*f)*d^2+2/g^2/(b*g-2*c*f)/(c*g*x+b*g-c*f)*d*e*f+1/g^3/(b*g-2*c*f)/(c*g*x+b*g-c*f)*e^2*f^2+1/g/(b*g-2*c*f)^2*ln(g*x+f)*d^2-2/g^2/(b*g-2*c*f)^2*ln(g*x+f)*d*e*f+1/g^3/(b*g-2*c*f)^2*ln(g*x+f)*f^2*e^2","B"
2294,1,58,57,0.042000," ","int((x+1)^4*(b*x+a)*(x^2-x+1)^4,x)","\frac{1}{14} b \,x^{14}+\frac{1}{13} a \,x^{13}+\frac{4}{11} b \,x^{11}+\frac{2}{5} a \,x^{10}+\frac{3}{4} b \,x^{8}+\frac{6}{7} a \,x^{7}+\frac{4}{5} b \,x^{5}+a \,x^{4}+\frac{1}{2} b \,x^{2}+a x"," ",0,"a*x+1/2*b*x^2+a*x^4+4/5*b*x^5+6/7*a*x^7+3/4*b*x^8+2/5*a*x^10+4/11*b*x^11+1/13*a*x^13+1/14*b*x^14","A"
2295,1,47,46,0.043000," ","int((x+1)^3*(b*x+a)*(x^2-x+1)^3,x)","\frac{1}{11} b \,x^{11}+\frac{1}{10} a \,x^{10}+\frac{3}{8} b \,x^{8}+\frac{3}{7} a \,x^{7}+\frac{3}{5} b \,x^{5}+\frac{3}{4} a \,x^{4}+\frac{1}{2} b \,x^{2}+a x"," ",0,"a*x+1/2*b*x^2+3/4*a*x^4+3/5*b*x^5+3/7*a*x^7+3/8*b*x^8+1/10*a*x^10+1/11*b*x^11","A"
2296,1,35,34,0.041000," ","int((x+1)^2*(b*x+a)*(x^2-x+1)^2,x)","\frac{1}{8} b \,x^{8}+\frac{1}{7} a \,x^{7}+\frac{2}{5} b \,x^{5}+\frac{1}{2} a \,x^{4}+\frac{1}{2} b \,x^{2}+a x"," ",0,"a*x+1/2*b*x^2+1/2*a*x^4+2/5*b*x^5+1/7*a*x^7+1/8*b*x^8","A"
2297,1,23,22,0.039000," ","int((x+1)*(b*x+a)*(x^2-x+1),x)","\frac{1}{5} b \,x^{5}+\frac{1}{4} a \,x^{4}+\frac{1}{2} b \,x^{2}+a x"," ",0,"a*x+1/2*b*x^2+1/4*a*x^4+1/5*b*x^5","A"
2298,1,74,47,0.064000," ","int((b*x+a)/(x+1)/(x^2-x+1),x)","\frac{\sqrt{3}\, a \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{3}+\frac{a \ln \left(x +1\right)}{3}-\frac{a \ln \left(x^{2}-x +1\right)}{6}+\frac{\sqrt{3}\, b \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{3}-\frac{b \ln \left(x +1\right)}{3}+\frac{b \ln \left(x^{2}-x +1\right)}{6}"," ",0,"1/3*ln(x+1)*a-1/3*ln(x+1)*b-1/6*ln(x^2-x+1)*a+1/6*ln(x^2-x+1)*b+1/3*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))*a+1/3*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))*b","A"
2299,1,116,68,0.057000," ","int((b*x+a)/(x+1)^2/(x^2-x+1)^2,x)","\frac{2 \sqrt{3}\, a \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+\frac{2 a \ln \left(x +1\right)}{9}-\frac{a \ln \left(x^{2}-x +1\right)}{9}+\frac{\sqrt{3}\, b \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}-\frac{b \ln \left(x +1\right)}{9}+\frac{b \ln \left(x^{2}-x +1\right)}{18}-\frac{a}{9 \left(x +1\right)}+\frac{b}{9 x +9}-\frac{-a +b +\left(-a -2 b \right) x}{9 \left(x^{2}-x +1\right)}"," ",0,"-1/9/(x+1)*a+1/9/(x+1)*b+2/9*a*ln(x+1)-1/9*b*ln(x+1)-1/9*((-a-2*b)*x-a+b)/(x^2-x+1)-1/9*a*ln(x^2-x+1)+1/18*b*ln(x^2-x+1)+2/9*3^(1/2)*a*arctan(1/3*(2*x-1)*3^(1/2))+1/9*3^(1/2)*b*arctan(1/3*(2*x-1)*3^(1/2))","A"
2300,1,154,88,0.063000," ","int((b*x+a)/(x+1)^3/(x^2-x+1)^3,x)","\frac{5 \sqrt{3}\, a \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{27}+\frac{5 a \ln \left(x +1\right)}{27}-\frac{5 a \ln \left(x^{2}-x +1\right)}{54}+\frac{2 \sqrt{3}\, b \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{27}-\frac{2 b \ln \left(x +1\right)}{27}+\frac{b \ln \left(x^{2}-x +1\right)}{27}-\frac{a}{54 \left(x +1\right)^{2}}-\frac{a}{9 \left(x +1\right)}+\frac{b}{54 \left(x +1\right)^{2}}+\frac{2 b}{27 \left(x +1\right)}-\frac{\left(-3 a -4 b \right) x^{3}+\left(a +\frac{13 b}{2}\right) x^{2}-\frac{7 a}{2}+\frac{5 b}{2}+\left(-a -8 b \right) x}{27 \left(x^{2}-x +1\right)^{2}}"," ",0,"-1/54/(x+1)^2*a+1/54/(x+1)^2*b-1/9/(x+1)*a+2/27/(x+1)*b+5/27*a*ln(x+1)-2/27*b*ln(x+1)-1/27*((-3*a-4*b)*x^3+(a+13/2*b)*x^2+(-a-8*b)*x-7/2*a+5/2*b)/(x^2-x+1)^2-5/54*a*ln(x^2-x+1)+1/27*b*ln(x^2-x+1)+5/27*3^(1/2)*a*arctan(1/3*(2*x-1)*3^(1/2))+2/27*3^(1/2)*b*arctan(1/3*(2*x-1)*3^(1/2))","A"
2301,1,608,299,1.806000," ","int((x+1)^(3/2)*(b*x+a)*(x^2-x+1)^(3/2),x)","-\frac{\sqrt{x +1}\, \sqrt{x^{2}-x +1}\, \left(-770 b \,x^{8}-910 a \,x^{7}-2530 b \,x^{5}-3458 a \,x^{4}-1760 b \,x^{2}-2548 a x +2457 i \sqrt{3}\, \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}\, a \EllipticF \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)-7371 \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}\, a \EllipticF \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)+8910 \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}\, b \EllipticE \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)-1485 i \sqrt{3}\, \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}\, b \EllipticF \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)-4455 \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}\, b \EllipticF \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)\right)}{5005 \left(x^{3}+1\right)}"," ",0,"-1/5005*(x+1)^(1/2)*(x^2-x+1)^(1/2)*(-770*b*x^8-910*a*x^7+2457*I*3^(1/2)*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((I*3^(1/2)-2*x+1)/(I*3^(1/2)+3))^(1/2)*((I*3^(1/2)+2*x-1)/(I*3^(1/2)-3))^(1/2)*EllipticF((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*a-1485*I*3^(1/2)*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((I*3^(1/2)-2*x+1)/(I*3^(1/2)+3))^(1/2)*((I*3^(1/2)+2*x-1)/(I*3^(1/2)-3))^(1/2)*EllipticF((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*b-2530*b*x^5+8910*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((I*3^(1/2)-2*x+1)/(I*3^(1/2)+3))^(1/2)*((I*3^(1/2)+2*x-1)/(I*3^(1/2)-3))^(1/2)*EllipticE((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*b-7371*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((I*3^(1/2)-2*x+1)/(I*3^(1/2)+3))^(1/2)*((I*3^(1/2)+2*x-1)/(I*3^(1/2)-3))^(1/2)*EllipticF((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*a-4455*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((I*3^(1/2)-2*x+1)/(I*3^(1/2)+3))^(1/2)*((I*3^(1/2)+2*x-1)/(I*3^(1/2)-3))^(1/2)*EllipticF((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*b-3458*a*x^4-1760*b*x^2-2548*a*x)/(x^3+1)","B"
2302,1,596,266,0.960000," ","int((x+1)^(1/2)*(b*x+a)*(x^2-x+1)^(1/2),x)","-\frac{\sqrt{x +1}\, \sqrt{x^{2}-x +1}\, \left(-10 b \,x^{5}-14 a \,x^{4}-10 b \,x^{2}-14 a x +21 i \sqrt{3}\, \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}\, a \EllipticF \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)-63 \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}\, a \EllipticF \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)+90 \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}\, b \EllipticE \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)-15 i \sqrt{3}\, \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}\, b \EllipticF \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)-45 \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}\, b \EllipticF \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)\right)}{35 \left(x^{3}+1\right)}"," ",0,"-1/35*(x+1)^(1/2)*(x^2-x+1)^(1/2)*(21*I*3^(1/2)*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((-2*x+I*3^(1/2)+1)/(I*3^(1/2)+3))^(1/2)*((2*x+I*3^(1/2)-1)/(I*3^(1/2)-3))^(1/2)*EllipticF((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*a-15*I*3^(1/2)*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((-2*x+I*3^(1/2)+1)/(I*3^(1/2)+3))^(1/2)*((2*x+I*3^(1/2)-1)/(I*3^(1/2)-3))^(1/2)*EllipticF((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*b-10*b*x^5+90*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((-2*x+I*3^(1/2)+1)/(I*3^(1/2)+3))^(1/2)*((2*x+I*3^(1/2)-1)/(I*3^(1/2)-3))^(1/2)*EllipticE((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*b-63*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((-2*x+I*3^(1/2)+1)/(I*3^(1/2)+3))^(1/2)*((2*x+I*3^(1/2)-1)/(I*3^(1/2)-3))^(1/2)*EllipticF((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*a-45*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((-2*x+I*3^(1/2)+1)/(I*3^(1/2)+3))^(1/2)*((2*x+I*3^(1/2)-1)/(I*3^(1/2)-3))^(1/2)*EllipticF((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*b-14*a*x^4-10*b*x^2-14*a*x)/(x^3+1)","B"
2303,1,313,227,1.414000," ","int((b*x+a)/(x+1)^(1/2)/(x^2-x+1)^(1/2),x)","\frac{\left(-i \sqrt{3}\, a \EllipticF \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)+3 a \EllipticF \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)-6 b \EllipticE \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)+i \sqrt{3}\, b \EllipticF \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)+3 b \EllipticF \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)\right) \sqrt{x +1}\, \sqrt{x^{2}-x +1}\, \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}}{x^{3}+1}"," ",0,"(-I*EllipticF((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*3^(1/2)*a+I*EllipticF((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*3^(1/2)*b+3*EllipticF((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*a+3*EllipticF((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*b-6*EllipticE((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*b)*(x+1)^(1/2)*(x^2-x+1)^(1/2)*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((-2*x+I*3^(1/2)+1)/(I*3^(1/2)+3))^(1/2)*((2*x+I*3^(1/2)-1)/(I*3^(1/2)-3))^(1/2)/(x^3+1)","A"
2304,1,584,247,1.533000," ","int((b*x+a)/(x+1)^(3/2)/(x^2-x+1)^(3/2),x)","-\frac{\sqrt{x +1}\, \sqrt{x^{2}-x +1}\, \left(-2 b \,x^{2}-2 a x +i \sqrt{3}\, \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}\, a \EllipticF \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)-3 \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}\, a \EllipticF \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)-6 \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}\, b \EllipticE \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)+i \sqrt{3}\, \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}\, b \EllipticF \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)+3 \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}\, b \EllipticF \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)\right)}{3 \left(x^{3}+1\right)}"," ",0,"-1/3*(x+1)^(1/2)*(x^2-x+1)^(1/2)*(I*3^(1/2)*EllipticF((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*a*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((-2*x+I*3^(1/2)+1)/(I*3^(1/2)+3))^(1/2)*((2*x+I*3^(1/2)-1)/(I*3^(1/2)-3))^(1/2)+I*3^(1/2)*EllipticF((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*b*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((-2*x+I*3^(1/2)+1)/(I*3^(1/2)+3))^(1/2)*((2*x+I*3^(1/2)-1)/(I*3^(1/2)-3))^(1/2)-3*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((-2*x+I*3^(1/2)+1)/(I*3^(1/2)+3))^(1/2)*((2*x+I*3^(1/2)-1)/(I*3^(1/2)-3))^(1/2)*EllipticF((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*a+3*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((-2*x+I*3^(1/2)+1)/(I*3^(1/2)+3))^(1/2)*((2*x+I*3^(1/2)-1)/(I*3^(1/2)-3))^(1/2)*EllipticF((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*b-6*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((-2*x+I*3^(1/2)+1)/(I*3^(1/2)+3))^(1/2)*((2*x+I*3^(1/2)-1)/(I*3^(1/2)-3))^(1/2)*EllipticE((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*b-2*b*x^2-2*a*x)/(x^3+1)","B"
2305,1,1152,285,2.253000," ","int((b*x+a)/(x+1)^(5/2)/(x^2-x+1)^(5/2),x)","-\frac{-10 b \,x^{5}-14 a \,x^{4}+7 i \sqrt{3}\, \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}\, a \,x^{3} \EllipticF \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)-21 \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}\, a \,x^{3} \EllipticF \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)-30 \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}\, b \,x^{3} \EllipticE \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)+5 i \sqrt{3}\, \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}\, b \,x^{3} \EllipticF \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)+15 \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}\, b \,x^{3} \EllipticF \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)-16 b \,x^{2}-20 a x +7 i \sqrt{3}\, \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}\, a \EllipticF \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)-21 \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}\, a \EllipticF \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)-30 \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}\, b \EllipticE \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)+5 i \sqrt{3}\, \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}\, b \EllipticF \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)+15 \sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}\, \sqrt{\frac{-2 x +i \sqrt{3}+1}{i \sqrt{3}+3}}\, \sqrt{\frac{2 x +i \sqrt{3}-1}{i \sqrt{3}-3}}\, b \EllipticF \left(\sqrt{-\frac{2 \left(x +1\right)}{i \sqrt{3}-3}}, \sqrt{-\frac{i \sqrt{3}-3}{i \sqrt{3}+3}}\right)}{27 \left(x^{2}-x +1\right)^{\frac{3}{2}} \left(x +1\right)^{\frac{3}{2}}}"," ",0,"-1/27*(7*I*3^(1/2)*EllipticF((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*x^3*a*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((-2*x+I*3^(1/2)+1)/(I*3^(1/2)+3))^(1/2)*((2*x+I*3^(1/2)-1)/(I*3^(1/2)-3))^(1/2)+5*I*3^(1/2)*EllipticF((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*x^3*b*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((-2*x+I*3^(1/2)+1)/(I*3^(1/2)+3))^(1/2)*((2*x+I*3^(1/2)-1)/(I*3^(1/2)-3))^(1/2)-21*EllipticF((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*x^3*a*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((-2*x+I*3^(1/2)+1)/(I*3^(1/2)+3))^(1/2)*((2*x+I*3^(1/2)-1)/(I*3^(1/2)-3))^(1/2)+15*EllipticF((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*x^3*b*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((-2*x+I*3^(1/2)+1)/(I*3^(1/2)+3))^(1/2)*((2*x+I*3^(1/2)-1)/(I*3^(1/2)-3))^(1/2)-30*EllipticE((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*x^3*b*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((-2*x+I*3^(1/2)+1)/(I*3^(1/2)+3))^(1/2)*((2*x+I*3^(1/2)-1)/(I*3^(1/2)-3))^(1/2)+7*I*3^(1/2)*EllipticF((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*a*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((-2*x+I*3^(1/2)+1)/(I*3^(1/2)+3))^(1/2)*((2*x+I*3^(1/2)-1)/(I*3^(1/2)-3))^(1/2)+5*I*3^(1/2)*EllipticF((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*b*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((-2*x+I*3^(1/2)+1)/(I*3^(1/2)+3))^(1/2)*((2*x+I*3^(1/2)-1)/(I*3^(1/2)-3))^(1/2)-10*b*x^5-21*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((-2*x+I*3^(1/2)+1)/(I*3^(1/2)+3))^(1/2)*((2*x+I*3^(1/2)-1)/(I*3^(1/2)-3))^(1/2)*EllipticF((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*a+15*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((-2*x+I*3^(1/2)+1)/(I*3^(1/2)+3))^(1/2)*((2*x+I*3^(1/2)-1)/(I*3^(1/2)-3))^(1/2)*EllipticF((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*b-30*(-2*(x+1)/(I*3^(1/2)-3))^(1/2)*((-2*x+I*3^(1/2)+1)/(I*3^(1/2)+3))^(1/2)*((2*x+I*3^(1/2)-1)/(I*3^(1/2)-3))^(1/2)*EllipticE((-2*(x+1)/(I*3^(1/2)-3))^(1/2),(-(I*3^(1/2)-3)/(I*3^(1/2)+3))^(1/2))*b-14*a*x^4-16*b*x^2-20*a*x)/(x^2-x+1)^(3/2)/(x+1)^(3/2)","B"
2306,1,283,126,0.044000," ","int((B*x+A)*(e*x+d)^4*(c*x^2+b*x+a),x)","\frac{B c \,e^{4} x^{8}}{8}+A a \,d^{4} x +\frac{\left(B b \,e^{4}+\left(A \,e^{4}+4 B d \,e^{3}\right) c \right) x^{7}}{7}+\frac{\left(B a \,e^{4}+\left(A \,e^{4}+4 B d \,e^{3}\right) b +\left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) c \right) x^{6}}{6}+\frac{\left(\left(A \,e^{4}+4 B d \,e^{3}\right) a +\left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) b +\left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) c \right) x^{5}}{5}+\frac{\left(\left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) a +\left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) b +\left(4 A \,d^{3} e +B \,d^{4}\right) c \right) x^{4}}{4}+\frac{\left(A c \,d^{4}+\left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) a +\left(4 A \,d^{3} e +B \,d^{4}\right) b \right) x^{3}}{3}+\frac{\left(A b \,d^{4}+\left(4 A \,d^{3} e +B \,d^{4}\right) a \right) x^{2}}{2}"," ",0,"1/8*B*e^4*c*x^8+1/7*((A*e^4+4*B*d*e^3)*c+B*e^4*b)*x^7+1/6*((4*A*d*e^3+6*B*d^2*e^2)*c+(A*e^4+4*B*d*e^3)*b+B*e^4*a)*x^6+1/5*((6*A*d^2*e^2+4*B*d^3*e)*c+(4*A*d*e^3+6*B*d^2*e^2)*b+(A*e^4+4*B*d*e^3)*a)*x^5+1/4*((4*A*d^3*e+B*d^4)*c+(6*A*d^2*e^2+4*B*d^3*e)*b+(4*A*d*e^3+6*B*d^2*e^2)*a)*x^4+1/3*(A*d^4*c+(4*A*d^3*e+B*d^4)*b+(6*A*d^2*e^2+4*B*d^3*e)*a)*x^3+1/2*(A*d^4*b+(4*A*d^3*e+B*d^4)*a)*x^2+A*d^4*a*x","B"
2307,1,214,126,0.046000," ","int((B*x+A)*(e*x+d)^3*(c*x^2+b*x+a),x)","\frac{B c \,e^{3} x^{7}}{7}+A a \,d^{3} x +\frac{\left(B b \,e^{3}+\left(A \,e^{3}+3 B d \,e^{2}\right) c \right) x^{6}}{6}+\frac{\left(B a \,e^{3}+\left(A \,e^{3}+3 B d \,e^{2}\right) b +\left(3 A d \,e^{2}+3 B \,d^{2} e \right) c \right) x^{5}}{5}+\frac{\left(\left(A \,e^{3}+3 B d \,e^{2}\right) a +\left(3 A d \,e^{2}+3 B \,d^{2} e \right) b +\left(3 A \,d^{2} e +B \,d^{3}\right) c \right) x^{4}}{4}+\frac{\left(A c \,d^{3}+\left(3 A d \,e^{2}+3 B \,d^{2} e \right) a +\left(3 A \,d^{2} e +B \,d^{3}\right) b \right) x^{3}}{3}+\frac{\left(A b \,d^{3}+\left(3 A \,d^{2} e +B \,d^{3}\right) a \right) x^{2}}{2}"," ",0,"1/7*B*e^3*c*x^7+1/6*((A*e^3+3*B*d*e^2)*c+B*e^3*b)*x^6+1/5*((3*A*d*e^2+3*B*d^2*e)*c+(A*e^3+3*B*d*e^2)*b+B*e^3*a)*x^5+1/4*((3*A*d^2*e+B*d^3)*c+(3*A*d*e^2+3*B*d^2*e)*b+(A*e^3+3*B*d*e^2)*a)*x^4+1/3*(A*c*d^3+(3*A*d^2*e+B*d^3)*b+(3*A*d*e^2+3*B*d^2*e)*a)*x^3+1/2*(A*d^3*b+(3*A*d^2*e+B*d^3)*a)*x^2+A*d^3*a*x","A"
2308,1,145,126,0.042000," ","int((B*x+A)*(e*x+d)^2*(c*x^2+b*x+a),x)","\frac{B c \,e^{2} x^{6}}{6}+A a \,d^{2} x +\frac{\left(B b \,e^{2}+\left(A \,e^{2}+2 B d e \right) c \right) x^{5}}{5}+\frac{\left(B a \,e^{2}+\left(A \,e^{2}+2 B d e \right) b +\left(2 A d e +B \,d^{2}\right) c \right) x^{4}}{4}+\frac{\left(A c \,d^{2}+\left(A \,e^{2}+2 B d e \right) a +\left(2 A d e +B \,d^{2}\right) b \right) x^{3}}{3}+\frac{\left(A b \,d^{2}+\left(2 A d e +B \,d^{2}\right) a \right) x^{2}}{2}"," ",0,"1/6*B*c*e^2*x^6+1/5*((A*e^2+2*B*d*e)*c+B*e^2*b)*x^5+1/4*((2*A*d*e+B*d^2)*c+(A*e^2+2*B*d*e)*b+B*a*e^2)*x^4+1/3*(A*c*d^2+(2*A*d*e+B*d^2)*b+(A*e^2+2*B*d*e)*a)*x^3+1/2*(A*d^2*b+(2*A*d*e+B*d^2)*a)*x^2+A*d^2*a*x","A"
2309,1,76,72,0.042000," ","int((B*x+A)*(e*x+d)*(c*x^2+b*x+a),x)","\frac{B c e \,x^{5}}{5}+A a d x +\frac{\left(B b e +\left(A e +B d \right) c \right) x^{4}}{4}+\frac{\left(A c d +B a e +\left(A e +B d \right) b \right) x^{3}}{3}+\frac{\left(A b d +\left(A e +B d \right) a \right) x^{2}}{2}"," ",0,"1/5*B*c*e*x^5+1/4*((A*e+B*d)*c+B*b*e)*x^4+1/3*(A*c*d+(A*e+B*d)*b+a*B*e)*x^3+1/2*(A*b*d+a*(A*e+B*d))*x^2+A*a*d*x","A"
2310,1,37,36,0.046000," ","int((B*x+A)*(c*x^2+b*x+a),x)","\frac{B c \,x^{4}}{4}+A a x +\frac{\left(A c +b B \right) x^{3}}{3}+\frac{\left(A b +B a \right) x^{2}}{2}"," ",0,"1/4*B*c*x^4+A*a*x+1/3*(A*c+B*b)*x^3+1/2*(A*b+B*a)*x^2","A"
2311,1,171,107,0.044000," ","int((B*x+A)*(c*x^2+b*x+a)/(e*x+d),x)","\frac{B c \,x^{3}}{3 e}+\frac{A c \,x^{2}}{2 e}+\frac{B b \,x^{2}}{2 e}-\frac{B c d \,x^{2}}{2 e^{2}}+\frac{A a \ln \left(e x +d \right)}{e}-\frac{A b d \ln \left(e x +d \right)}{e^{2}}+\frac{A b x}{e}+\frac{A c \,d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{A c d x}{e^{2}}-\frac{B a d \ln \left(e x +d \right)}{e^{2}}+\frac{B a x}{e}+\frac{B b \,d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{B b d x}{e^{2}}-\frac{B c \,d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{B c \,d^{2} x}{e^{3}}"," ",0,"1/3*B*c/e*x^3+1/2/e*A*x^2*c+1/2/e*B*x^2*b-1/2/e^2*B*x^2*c*d+1/e*A*x*b-1/e^2*A*x*c*d+1/e*B*x*a-1/e^2*B*x*b*d+1/e^3*B*x*c*d^2+1/e*ln(e*x+d)*a*A-1/e^2*ln(e*x+d)*A*b*d+1/e^3*ln(e*x+d)*A*c*d^2-1/e^2*ln(e*x+d)*a*B*d+1/e^3*ln(e*x+d)*B*b*d^2-1/e^4*ln(e*x+d)*B*c*d^3","A"
2312,1,195,114,0.062000," ","int((B*x+A)*(c*x^2+b*x+a)/(e*x+d)^2,x)","\frac{B c \,x^{2}}{2 e^{2}}-\frac{A a}{\left(e x +d \right) e}+\frac{A b d}{\left(e x +d \right) e^{2}}+\frac{A b \ln \left(e x +d \right)}{e^{2}}-\frac{A c \,d^{2}}{\left(e x +d \right) e^{3}}-\frac{2 A c d \ln \left(e x +d \right)}{e^{3}}+\frac{A c x}{e^{2}}+\frac{B a d}{\left(e x +d \right) e^{2}}+\frac{B a \ln \left(e x +d \right)}{e^{2}}-\frac{B b \,d^{2}}{\left(e x +d \right) e^{3}}-\frac{2 B b d \ln \left(e x +d \right)}{e^{3}}+\frac{B b x}{e^{2}}+\frac{B c \,d^{3}}{\left(e x +d \right) e^{4}}+\frac{3 B c \,d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{2 B c d x}{e^{3}}"," ",0,"1/2*B*c/e^2*x^2+1/e^2*A*c*x+1/e^2*B*b*x-2/e^3*B*c*d*x-1/e/(e*x+d)*a*A+1/e^2/(e*x+d)*A*d*b-1/e^3/(e*x+d)*A*c*d^2+1/e^2/(e*x+d)*a*B*d-1/e^3/(e*x+d)*B*b*d^2+1/e^4/(e*x+d)*B*c*d^3+1/e^2*ln(e*x+d)*A*b-2/e^3*ln(e*x+d)*A*c*d+1/e^2*ln(e*x+d)*B*a-2/e^3*ln(e*x+d)*B*b*d+3/e^4*ln(e*x+d)*B*c*d^2","A"
2313,1,217,117,0.051000," ","int((B*x+A)*(c*x^2+b*x+a)/(e*x+d)^3,x)","-\frac{A a}{2 \left(e x +d \right)^{2} e}+\frac{A b d}{2 \left(e x +d \right)^{2} e^{2}}-\frac{A c \,d^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{B a d}{2 \left(e x +d \right)^{2} e^{2}}-\frac{B b \,d^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{B c \,d^{3}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{A b}{\left(e x +d \right) e^{2}}+\frac{2 A c d}{\left(e x +d \right) e^{3}}+\frac{A c \ln \left(e x +d \right)}{e^{3}}-\frac{B a}{\left(e x +d \right) e^{2}}+\frac{2 B b d}{\left(e x +d \right) e^{3}}+\frac{B b \ln \left(e x +d \right)}{e^{3}}-\frac{3 B c \,d^{2}}{\left(e x +d \right) e^{4}}-\frac{3 B c d \ln \left(e x +d \right)}{e^{4}}+\frac{B c x}{e^{3}}"," ",0,"B*c/e^3*x-1/e^2/(e*x+d)*A*b+2/e^3/(e*x+d)*A*c*d-1/e^2/(e*x+d)*B*a+2/e^3/(e*x+d)*B*b*d-3/e^4/(e*x+d)*B*c*d^2-1/2/e/(e*x+d)^2*a*A+1/2/e^2/(e*x+d)^2*A*d*b-1/2/e^3/(e*x+d)^2*A*c*d^2+1/2/e^2/(e*x+d)^2*a*B*d-1/2/e^3/(e*x+d)^2*B*d^2*b+1/2/e^4/(e*x+d)^2*B*c*d^3+1/e^3*ln(e*x+d)*A*c+1/e^3*ln(e*x+d)*B*b-3/e^4*ln(e*x+d)*B*c*d","A"
2314,1,225,123,0.053000," ","int((B*x+A)*(c*x^2+b*x+a)/(e*x+d)^4,x)","-\frac{A a}{3 \left(e x +d \right)^{3} e}+\frac{A b d}{3 \left(e x +d \right)^{3} e^{2}}-\frac{A c \,d^{2}}{3 \left(e x +d \right)^{3} e^{3}}+\frac{B a d}{3 \left(e x +d \right)^{3} e^{2}}-\frac{B b \,d^{2}}{3 \left(e x +d \right)^{3} e^{3}}+\frac{B c \,d^{3}}{3 \left(e x +d \right)^{3} e^{4}}-\frac{A b}{2 \left(e x +d \right)^{2} e^{2}}+\frac{A c d}{\left(e x +d \right)^{2} e^{3}}-\frac{B a}{2 \left(e x +d \right)^{2} e^{2}}+\frac{B b d}{\left(e x +d \right)^{2} e^{3}}-\frac{3 B c \,d^{2}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{A c}{\left(e x +d \right) e^{3}}-\frac{B b}{\left(e x +d \right) e^{3}}+\frac{3 B c d}{\left(e x +d \right) e^{4}}+\frac{B c \ln \left(e x +d \right)}{e^{4}}"," ",0,"-1/e^3/(e*x+d)*A*c-1/e^3/(e*x+d)*B*b+3/e^4/(e*x+d)*B*c*d-1/2/e^2/(e*x+d)^2*A*b+1/e^3/(e*x+d)^2*A*c*d-1/2/e^2/(e*x+d)^2*B*a+1/e^3/(e*x+d)^2*B*b*d-3/2/e^4/(e*x+d)^2*B*c*d^2+B*c/e^4*ln(e*x+d)-1/3/e/(e*x+d)^3*a*A+1/3/e^2/(e*x+d)^3*A*b*d-1/3/e^3/(e*x+d)^3*A*c*d^2+1/3/e^2/(e*x+d)^3*a*B*d-1/3/e^3/(e*x+d)^3*B*d^2*b+1/3/e^4/(e*x+d)^3*B*c*d^3","A"
2315,1,142,126,0.052000," ","int((B*x+A)*(c*x^2+b*x+a)/(e*x+d)^5,x)","-\frac{B c}{\left(e x +d \right) e^{4}}-\frac{A c e +B b e -3 B c d}{2 \left(e x +d \right)^{2} e^{4}}-\frac{a A \,e^{3}-A b d \,e^{2}+A c \,d^{2} e -a B d \,e^{2}+B \,d^{2} b e -B c \,d^{3}}{4 \left(e x +d \right)^{4} e^{4}}-\frac{A b \,e^{2}-2 A c d e +B a \,e^{2}-2 B b d e +3 B c \,d^{2}}{3 \left(e x +d \right)^{3} e^{4}}"," ",0,"-1/(e*x+d)*B*c/e^4-1/2*(A*c*e+B*b*e-3*B*c*d)/e^4/(e*x+d)^2-1/4*(A*a*e^3-A*b*d*e^2+A*c*d^2*e-B*a*d*e^2+B*b*d^2*e-B*c*d^3)/e^4/(e*x+d)^4-1/3*(A*b*e^2-2*A*c*d*e+B*a*e^2-2*B*b*d*e+3*B*c*d^2)/e^4/(e*x+d)^3","A"
2316,1,142,126,0.053000," ","int((B*x+A)*(c*x^2+b*x+a)/(e*x+d)^6,x)","-\frac{B c}{2 \left(e x +d \right)^{2} e^{4}}-\frac{A b \,e^{2}-2 A c d e +B a \,e^{2}-2 B b d e +3 B c \,d^{2}}{4 \left(e x +d \right)^{4} e^{4}}-\frac{a A \,e^{3}-A b d \,e^{2}+A c \,d^{2} e -a B d \,e^{2}+B \,d^{2} b e -B c \,d^{3}}{5 \left(e x +d \right)^{5} e^{4}}-\frac{A c e +B b e -3 B c d}{3 \left(e x +d \right)^{3} e^{4}}"," ",0,"-1/2/(e*x+d)^2*B*c/e^4-1/4*(A*b*e^2-2*A*c*d*e+B*a*e^2-2*B*b*d*e+3*B*c*d^2)/e^4/(e*x+d)^4-1/5*(A*a*e^3-A*b*d*e^2+A*c*d^2*e-B*a*d*e^2+B*b*d^2*e-B*c*d^3)/e^4/(e*x+d)^5-1/3*(A*c*e+B*b*e-3*B*c*d)/e^4/(e*x+d)^3","A"
2317,1,142,126,0.053000," ","int((B*x+A)*(c*x^2+b*x+a)/(e*x+d)^7,x)","-\frac{B c}{3 \left(e x +d \right)^{3} e^{4}}-\frac{a A \,e^{3}-A b d \,e^{2}+A c \,d^{2} e -a B d \,e^{2}+B \,d^{2} b e -B c \,d^{3}}{6 \left(e x +d \right)^{6} e^{4}}-\frac{A c e +B b e -3 B c d}{4 \left(e x +d \right)^{4} e^{4}}-\frac{A b \,e^{2}-2 A c d e +B a \,e^{2}-2 B b d e +3 B c \,d^{2}}{5 \left(e x +d \right)^{5} e^{4}}"," ",0,"-1/6*(A*a*e^3-A*b*d*e^2+A*c*d^2*e-B*a*d*e^2+B*b*d^2*e-B*c*d^3)/e^4/(e*x+d)^6-1/4*(A*c*e+B*b*e-3*B*c*d)/e^4/(e*x+d)^4-1/5*(A*b*e^2-2*A*c*d*e+B*a*e^2-2*B*b*d*e+3*B*c*d^2)/e^4/(e*x+d)^5-1/3/(e*x+d)^3*B*c/e^4","A"
2318,1,671,292,0.040000," ","int((B*x+A)*(e*x+d)^5*(c*x^2+b*x+a)^2,x)","\frac{B \,c^{2} e^{5} x^{11}}{11}+\frac{\left(2 B b c \,e^{5}+\left(A \,e^{5}+5 B d \,e^{4}\right) c^{2}\right) x^{10}}{10}+A \,a^{2} d^{5} x +\frac{\left(\left(2 a c +b^{2}\right) B \,e^{5}+2 \left(A \,e^{5}+5 B d \,e^{4}\right) b c +\left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) c^{2}\right) x^{9}}{9}+\frac{\left(2 B a b \,e^{5}+2 \left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) b c +\left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) c^{2}+\left(A \,e^{5}+5 B d \,e^{4}\right) \left(2 a c +b^{2}\right)\right) x^{8}}{8}+\frac{\left(B \,a^{2} e^{5}+2 \left(A \,e^{5}+5 B d \,e^{4}\right) a b +2 \left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) b c +\left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) c^{2}+\left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) \left(2 a c +b^{2}\right)\right) x^{7}}{7}+\frac{\left(\left(A \,e^{5}+5 B d \,e^{4}\right) a^{2}+2 \left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) a b +2 \left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) b c +\left(5 A \,d^{4} e +B \,d^{5}\right) c^{2}+\left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) \left(2 a c +b^{2}\right)\right) x^{6}}{6}+\frac{\left(A \,c^{2} d^{5}+\left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) a^{2}+2 \left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) a b +2 \left(5 A \,d^{4} e +B \,d^{5}\right) b c +\left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) \left(2 a c +b^{2}\right)\right) x^{5}}{5}+\frac{\left(2 A b c \,d^{5}+\left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) a^{2}+2 \left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) a b +\left(5 A \,d^{4} e +B \,d^{5}\right) \left(2 a c +b^{2}\right)\right) x^{4}}{4}+\frac{\left(\left(2 a c +b^{2}\right) A \,d^{5}+\left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) a^{2}+2 \left(5 A \,d^{4} e +B \,d^{5}\right) a b \right) x^{3}}{3}+\frac{\left(2 A a b \,d^{5}+\left(5 A \,d^{4} e +B \,d^{5}\right) a^{2}\right) x^{2}}{2}"," ",0,"1/11*B*e^5*c^2*x^11+1/10*((A*e^5+5*B*d*e^4)*c^2+2*B*e^5*b*c)*x^10+1/9*((5*A*d*e^4+10*B*d^2*e^3)*c^2+2*(A*e^5+5*B*d*e^4)*b*c+B*e^5*(2*a*c+b^2))*x^9+1/8*((10*A*d^2*e^3+10*B*d^3*e^2)*c^2+2*(5*A*d*e^4+10*B*d^2*e^3)*b*c+(A*e^5+5*B*d*e^4)*(2*a*c+b^2)+2*B*e^5*a*b)*x^8+1/7*((10*A*d^3*e^2+5*B*d^4*e)*c^2+2*(10*A*d^2*e^3+10*B*d^3*e^2)*b*c+(5*A*d*e^4+10*B*d^2*e^3)*(2*a*c+b^2)+2*(A*e^5+5*B*d*e^4)*a*b+B*e^5*a^2)*x^7+1/6*((5*A*d^4*e+B*d^5)*c^2+2*(10*A*d^3*e^2+5*B*d^4*e)*b*c+(10*A*d^2*e^3+10*B*d^3*e^2)*(2*a*c+b^2)+2*(5*A*d*e^4+10*B*d^2*e^3)*a*b+(A*e^5+5*B*d*e^4)*a^2)*x^6+1/5*(A*d^5*c^2+2*(5*A*d^4*e+B*d^5)*b*c+(10*A*d^3*e^2+5*B*d^4*e)*(2*a*c+b^2)+2*(10*A*d^2*e^3+10*B*d^3*e^2)*a*b+(5*A*d*e^4+10*B*d^2*e^3)*a^2)*x^5+1/4*(2*A*d^5*b*c+(5*A*d^4*e+B*d^5)*(2*a*c+b^2)+2*(10*A*d^3*e^2+5*B*d^4*e)*a*b+(10*A*d^2*e^3+10*B*d^3*e^2)*a^2)*x^4+1/3*(A*d^5*(2*a*c+b^2)+2*(5*A*d^4*e+B*d^5)*a*b+(10*A*d^3*e^2+5*B*d^4*e)*a^2)*x^3+1/2*(2*A*d^5*a*b+(5*A*d^4*e+B*d^5)*a^2)*x^2+A*d^5*a^2*x","B"
2319,1,545,292,0.039000," ","int((B*x+A)*(e*x+d)^4*(c*x^2+b*x+a)^2,x)","\frac{B \,c^{2} e^{4} x^{10}}{10}+\frac{\left(2 B b c \,e^{4}+\left(A \,e^{4}+4 B d \,e^{3}\right) c^{2}\right) x^{9}}{9}+A \,a^{2} d^{4} x +\frac{\left(\left(2 a c +b^{2}\right) B \,e^{4}+2 \left(A \,e^{4}+4 B d \,e^{3}\right) b c +\left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) c^{2}\right) x^{8}}{8}+\frac{\left(2 B a b \,e^{4}+2 \left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) b c +\left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) c^{2}+\left(A \,e^{4}+4 B d \,e^{3}\right) \left(2 a c +b^{2}\right)\right) x^{7}}{7}+\frac{\left(B \,a^{2} e^{4}+2 \left(A \,e^{4}+4 B d \,e^{3}\right) a b +2 \left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) b c +\left(4 A \,d^{3} e +B \,d^{4}\right) c^{2}+\left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) \left(2 a c +b^{2}\right)\right) x^{6}}{6}+\frac{\left(A \,c^{2} d^{4}+\left(A \,e^{4}+4 B d \,e^{3}\right) a^{2}+2 \left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) a b +2 \left(4 A \,d^{3} e +B \,d^{4}\right) b c +\left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) \left(2 a c +b^{2}\right)\right) x^{5}}{5}+\frac{\left(2 A b c \,d^{4}+\left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) a^{2}+2 \left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) a b +\left(4 A \,d^{3} e +B \,d^{4}\right) \left(2 a c +b^{2}\right)\right) x^{4}}{4}+\frac{\left(\left(2 a c +b^{2}\right) A \,d^{4}+\left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) a^{2}+2 \left(4 A \,d^{3} e +B \,d^{4}\right) a b \right) x^{3}}{3}+\frac{\left(2 A a b \,d^{4}+\left(4 A \,d^{3} e +B \,d^{4}\right) a^{2}\right) x^{2}}{2}"," ",0,"1/10*B*e^4*c^2*x^10+1/9*((A*e^4+4*B*d*e^3)*c^2+2*B*e^4*b*c)*x^9+1/8*((4*A*d*e^3+6*B*d^2*e^2)*c^2+2*(A*e^4+4*B*d*e^3)*b*c+B*e^4*(2*a*c+b^2))*x^8+1/7*((6*A*d^2*e^2+4*B*d^3*e)*c^2+2*(4*A*d*e^3+6*B*d^2*e^2)*b*c+(A*e^4+4*B*d*e^3)*(2*a*c+b^2)+2*B*a*b*e^4)*x^7+1/6*((4*A*d^3*e+B*d^4)*c^2+2*(6*A*d^2*e^2+4*B*d^3*e)*b*c+(4*A*d*e^3+6*B*d^2*e^2)*(2*a*c+b^2)+2*(A*e^4+4*B*d*e^3)*a*b+B*a^2*e^4)*x^6+1/5*(A*d^4*c^2+2*(4*A*d^3*e+B*d^4)*b*c+(6*A*d^2*e^2+4*B*d^3*e)*(2*a*c+b^2)+2*(4*A*d*e^3+6*B*d^2*e^2)*a*b+(A*e^4+4*B*d*e^3)*a^2)*x^5+1/4*(2*A*d^4*b*c+(4*A*d^3*e+B*d^4)*(2*a*c+b^2)+2*(6*A*d^2*e^2+4*B*d^3*e)*a*b+(4*A*d*e^3+6*B*d^2*e^2)*a^2)*x^4+1/3*(A*d^4*(2*a*c+b^2)+2*(4*A*d^3*e+B*d^4)*a*b+(6*A*d^2*e^2+4*B*d^3*e)*a^2)*x^3+1/2*(2*A*d^4*a*b+(4*A*d^3*e+B*d^4)*a^2)*x^2+A*d^4*a^2*x","A"
2320,1,419,292,0.045000," ","int((B*x+A)*(e*x+d)^3*(c*x^2+b*x+a)^2,x)","\frac{B \,c^{2} e^{3} x^{9}}{9}+\frac{\left(2 B b c \,e^{3}+\left(A \,e^{3}+3 B d \,e^{2}\right) c^{2}\right) x^{8}}{8}+A \,a^{2} d^{3} x +\frac{\left(\left(2 a c +b^{2}\right) B \,e^{3}+2 \left(A \,e^{3}+3 B d \,e^{2}\right) b c +\left(3 A d \,e^{2}+3 B \,d^{2} e \right) c^{2}\right) x^{7}}{7}+\frac{\left(2 B a b \,e^{3}+2 \left(3 A d \,e^{2}+3 B \,d^{2} e \right) b c +\left(3 A \,d^{2} e +B \,d^{3}\right) c^{2}+\left(A \,e^{3}+3 B d \,e^{2}\right) \left(2 a c +b^{2}\right)\right) x^{6}}{6}+\frac{\left(A \,c^{2} d^{3}+B \,a^{2} e^{3}+2 \left(A \,e^{3}+3 B d \,e^{2}\right) a b +2 \left(3 A \,d^{2} e +B \,d^{3}\right) b c +\left(3 A d \,e^{2}+3 B \,d^{2} e \right) \left(2 a c +b^{2}\right)\right) x^{5}}{5}+\frac{\left(2 A b c \,d^{3}+\left(A \,e^{3}+3 B d \,e^{2}\right) a^{2}+2 \left(3 A d \,e^{2}+3 B \,d^{2} e \right) a b +\left(3 A \,d^{2} e +B \,d^{3}\right) \left(2 a c +b^{2}\right)\right) x^{4}}{4}+\frac{\left(\left(2 a c +b^{2}\right) A \,d^{3}+\left(3 A d \,e^{2}+3 B \,d^{2} e \right) a^{2}+2 \left(3 A \,d^{2} e +B \,d^{3}\right) a b \right) x^{3}}{3}+\frac{\left(2 A a b \,d^{3}+\left(3 A \,d^{2} e +B \,d^{3}\right) a^{2}\right) x^{2}}{2}"," ",0,"1/9*B*c^2*e^3*x^9+1/8*((A*e^3+3*B*d*e^2)*c^2+2*B*e^3*b*c)*x^8+1/7*((3*A*d*e^2+3*B*d^2*e)*c^2+2*(A*e^3+3*B*d*e^2)*b*c+B*e^3*(2*a*c+b^2))*x^7+1/6*((3*A*d^2*e+B*d^3)*c^2+2*(3*A*d*e^2+3*B*d^2*e)*b*c+(A*e^3+3*B*d*e^2)*(2*a*c+b^2)+2*B*e^3*a*b)*x^6+1/5*(A*c^2*d^3+2*(3*A*d^2*e+B*d^3)*b*c+(3*A*d*e^2+3*B*d^2*e)*(2*a*c+b^2)+2*(A*e^3+3*B*d*e^2)*a*b+B*a^2*e^3)*x^5+1/4*(2*A*d^3*b*c+(3*A*d^2*e+B*d^3)*(2*a*c+b^2)+2*(3*A*d*e^2+3*B*d^2*e)*a*b+(A*e^3+3*B*d*e^2)*a^2)*x^4+1/3*(A*d^3*(2*a*c+b^2)+2*(3*A*d^2*e+B*d^3)*a*b+(3*A*d*e^2+3*B*d^2*e)*a^2)*x^3+1/2*(2*A*d^3*a*b+(3*A*d^2*e+B*d^3)*a^2)*x^2+A*d^3*a^2*x","A"
2321,1,293,292,0.041000," ","int((B*x+A)*(e*x+d)^2*(c*x^2+b*x+a)^2,x)","\frac{B \,c^{2} e^{2} x^{8}}{8}+\frac{\left(2 B b c \,e^{2}+\left(A \,e^{2}+2 B d e \right) c^{2}\right) x^{7}}{7}+A \,a^{2} d^{2} x +\frac{\left(\left(2 a c +b^{2}\right) B \,e^{2}+2 \left(A \,e^{2}+2 B d e \right) b c +\left(2 A d e +B \,d^{2}\right) c^{2}\right) x^{6}}{6}+\frac{\left(A \,c^{2} d^{2}+2 B a b \,e^{2}+2 \left(2 A d e +B \,d^{2}\right) b c +\left(A \,e^{2}+2 B d e \right) \left(2 a c +b^{2}\right)\right) x^{5}}{5}+\frac{\left(2 A b c \,d^{2}+B \,a^{2} e^{2}+2 \left(A \,e^{2}+2 B d e \right) a b +\left(2 A d e +B \,d^{2}\right) \left(2 a c +b^{2}\right)\right) x^{4}}{4}+\frac{\left(\left(2 a c +b^{2}\right) A \,d^{2}+\left(A \,e^{2}+2 B d e \right) a^{2}+2 \left(2 A d e +B \,d^{2}\right) a b \right) x^{3}}{3}+\frac{\left(2 A a b \,d^{2}+\left(2 A d e +B \,d^{2}\right) a^{2}\right) x^{2}}{2}"," ",0,"1/8*B*c^2*e^2*x^8+1/7*((A*e^2+2*B*d*e)*c^2+2*B*e^2*b*c)*x^7+1/6*((2*A*d*e+B*d^2)*c^2+2*(A*e^2+2*B*d*e)*b*c+B*e^2*(2*a*c+b^2))*x^6+1/5*(A*c^2*d^2+2*(2*A*d*e+B*d^2)*b*c+(A*e^2+2*B*d*e)*(2*a*c+b^2)+2*B*e^2*a*b)*x^5+1/4*(2*A*d^2*b*c+(2*A*d*e+B*d^2)*(2*a*c+b^2)+2*(A*e^2+2*B*d*e)*a*b+B*a^2*e^2)*x^4+1/3*(A*d^2*(2*a*c+b^2)+2*(2*A*d*e+B*d^2)*a*b+(A*e^2+2*B*d*e)*a^2)*x^3+1/2*(2*A*d^2*a*b+(2*A*d*e+B*d^2)*a^2)*x^2+A*d^2*a^2*x","A"
2322,1,167,168,0.044000," ","int((B*x+A)*(e*x+d)*(c*x^2+b*x+a)^2,x)","\frac{B \,c^{2} e \,x^{7}}{7}+\frac{\left(2 B b c e +\left(A e +B d \right) c^{2}\right) x^{6}}{6}+A \,a^{2} d x +\frac{\left(A \,c^{2} d +\left(2 a c +b^{2}\right) B e +2 \left(A e +B d \right) b c \right) x^{5}}{5}+\frac{\left(2 A b c d +2 B a b e +\left(A e +B d \right) \left(2 a c +b^{2}\right)\right) x^{4}}{4}+\frac{\left(B \,a^{2} e +\left(2 a c +b^{2}\right) A d +2 \left(A e +B d \right) a b \right) x^{3}}{3}+\frac{\left(2 A a b d +\left(A e +B d \right) a^{2}\right) x^{2}}{2}"," ",0,"1/7*B*c^2*e*x^7+1/6*((A*e+B*d)*c^2+2*B*e*b*c)*x^6+1/5*(A*c^2*d+2*(A*e+B*d)*b*c+B*e*(2*a*c+b^2))*x^5+1/4*(2*A*b*c*d+(A*e+B*d)*(2*a*c+b^2)+2*B*a*b*e)*x^4+1/3*(A*d*(2*a*c+b^2)+2*(A*e+B*d)*a*b+B*e*a^2)*x^3+1/2*(2*A*d*a*b+(A*e+B*d)*a^2)*x^2+A*a^2*d*x","A"
2323,1,91,86,0.046000," ","int((B*x+A)*(c*x^2+b*x+a)^2,x)","\frac{B \,c^{2} x^{6}}{6}+\frac{\left(A \,c^{2}+2 b B c \right) x^{5}}{5}+A \,a^{2} x +\frac{\left(2 A b c +\left(2 a c +b^{2}\right) B \right) x^{4}}{4}+\frac{\left(2 B a b +\left(2 a c +b^{2}\right) A \right) x^{3}}{3}+\frac{\left(2 A a b +B \,a^{2}\right) x^{2}}{2}"," ",0,"1/6*B*c^2*x^6+1/5*(A*c^2+2*B*b*c)*x^5+1/4*(2*A*b*c+B*(2*a*c+b^2))*x^4+1/3*(2*B*a*b+(2*a*c+b^2)*A)*x^3+1/2*(2*A*a*b+B*a^2)*x^2+A*a^2*x","A"
2324,1,558,249,0.046000," ","int((B*x+A)*(c*x^2+b*x+a)^2/(e*x+d),x)","\frac{B \,c^{2} x^{5}}{5 e}+\frac{A \,c^{2} x^{4}}{4 e}+\frac{B b c \,x^{4}}{2 e}-\frac{B \,c^{2} d \,x^{4}}{4 e^{2}}+\frac{2 A b c \,x^{3}}{3 e}-\frac{A \,c^{2} d \,x^{3}}{3 e^{2}}+\frac{2 B a c \,x^{3}}{3 e}+\frac{B \,b^{2} x^{3}}{3 e}-\frac{2 B b c d \,x^{3}}{3 e^{2}}+\frac{B \,c^{2} d^{2} x^{3}}{3 e^{3}}+\frac{A a c \,x^{2}}{e}+\frac{A \,b^{2} x^{2}}{2 e}-\frac{A b c d \,x^{2}}{e^{2}}+\frac{A \,c^{2} d^{2} x^{2}}{2 e^{3}}+\frac{B a b \,x^{2}}{e}-\frac{B a c d \,x^{2}}{e^{2}}-\frac{B \,b^{2} d \,x^{2}}{2 e^{2}}+\frac{B b c \,d^{2} x^{2}}{e^{3}}-\frac{B \,c^{2} d^{3} x^{2}}{2 e^{4}}+\frac{A \,a^{2} \ln \left(e x +d \right)}{e}-\frac{2 A a b d \ln \left(e x +d \right)}{e^{2}}+\frac{2 A a b x}{e}+\frac{2 A a c \,d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{2 A a c d x}{e^{2}}+\frac{A \,b^{2} d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{A \,b^{2} d x}{e^{2}}-\frac{2 A b c \,d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{2 A b c \,d^{2} x}{e^{3}}+\frac{A \,c^{2} d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{A \,c^{2} d^{3} x}{e^{4}}-\frac{B \,a^{2} d \ln \left(e x +d \right)}{e^{2}}+\frac{B \,a^{2} x}{e}+\frac{2 B a b \,d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{2 B a b d x}{e^{2}}-\frac{2 B a c \,d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{2 B a c \,d^{2} x}{e^{3}}-\frac{B \,b^{2} d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{B \,b^{2} d^{2} x}{e^{3}}+\frac{2 B b c \,d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{2 B b c \,d^{3} x}{e^{4}}-\frac{B \,c^{2} d^{5} \ln \left(e x +d \right)}{e^{6}}+\frac{B \,c^{2} d^{4} x}{e^{5}}"," ",0,"2/3*B*a*c/e*x^3+1/3*B*c^2*d^2/e^3*x^3+A*a*c/e*x^2+1/2*A*c^2*d^2/e^3*x^2-1/2*B*c^2*d^3/e^4*x^2-A*c^2*d^3/e^4*x+B*c^2*d^4/e^5*x+A*c^2*d^4/e^5*ln(e*x+d)-B*a^2*d/e^2*ln(e*x+d)-B*c^2*d^5/e^6*ln(e*x+d)+1/e^3*B*x^2*b*c*d^2+2/e^3*A*x*b*c*d^2-1/e^2*A*x^2*b*c*d-2/3/e^2*B*x^3*b*c*d-2/e^4*B*x*b*c*d^3-2/e^4*ln(e*x+d)*A*b*c*d^3-2/e^2*B*x*a*b*d-2/e^2*ln(e*x+d)*A*a*b*d+2/e^5*ln(e*x+d)*B*b*c*d^4+2/e^3*ln(e*x+d)*B*a*b*d^2-2*B*a*c*d^3/e^4*ln(e*x+d)+2*B*a*c*d^2/e^3*x+2*A*a*c*d^2/e^3*ln(e*x+d)-B*a*c*d/e^2*x^2-2*A*a*c*d/e^2*x+1/2/e*A*x^2*b^2+1/3/e*B*x^3*b^2+A*a^2/e*ln(e*x+d)+1/4*A*c^2/e*x^4+B*a^2/e*x+1/e*B*x^2*a*b-1/4*B*c^2*d/e^2*x^4-1/3*A*c^2*d/e^2*x^3+1/e^3*B*x*b^2*d^2-1/2/e^2*B*x^2*b^2*d+1/e^3*ln(e*x+d)*A*b^2*d^2+2/e*A*x*a*b-1/e^2*A*x*b^2*d-1/e^4*ln(e*x+d)*B*b^2*d^3+1/2/e*B*x^4*b*c+2/3/e*A*x^3*b*c+1/5*B*c^2/e*x^5","B"
2325,1,609,261,0.056000," ","int((B*x+A)*(c*x^2+b*x+a)^2/(e*x+d)^2,x)","\frac{B \,c^{2} x^{4}}{4 e^{2}}+\frac{A \,c^{2} x^{3}}{3 e^{2}}+\frac{2 B b c \,x^{3}}{3 e^{2}}-\frac{2 B \,c^{2} d \,x^{3}}{3 e^{3}}+\frac{A b c \,x^{2}}{e^{2}}-\frac{A \,c^{2} d \,x^{2}}{e^{3}}+\frac{B a c \,x^{2}}{e^{2}}+\frac{B \,b^{2} x^{2}}{2 e^{2}}-\frac{2 B b c d \,x^{2}}{e^{3}}+\frac{3 B \,c^{2} d^{2} x^{2}}{2 e^{4}}-\frac{A \,a^{2}}{\left(e x +d \right) e}+\frac{2 A a b d}{\left(e x +d \right) e^{2}}+\frac{2 A a b \ln \left(e x +d \right)}{e^{2}}-\frac{2 A a c \,d^{2}}{\left(e x +d \right) e^{3}}-\frac{4 A a c d \ln \left(e x +d \right)}{e^{3}}+\frac{2 A a c x}{e^{2}}-\frac{A \,b^{2} d^{2}}{\left(e x +d \right) e^{3}}-\frac{2 A \,b^{2} d \ln \left(e x +d \right)}{e^{3}}+\frac{A \,b^{2} x}{e^{2}}+\frac{2 A b c \,d^{3}}{\left(e x +d \right) e^{4}}+\frac{6 A b c \,d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{4 A b c d x}{e^{3}}-\frac{A \,c^{2} d^{4}}{\left(e x +d \right) e^{5}}-\frac{4 A \,c^{2} d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{3 A \,c^{2} d^{2} x}{e^{4}}+\frac{B \,a^{2} d}{\left(e x +d \right) e^{2}}+\frac{B \,a^{2} \ln \left(e x +d \right)}{e^{2}}-\frac{2 B a b \,d^{2}}{\left(e x +d \right) e^{3}}-\frac{4 B a b d \ln \left(e x +d \right)}{e^{3}}+\frac{2 B a b x}{e^{2}}+\frac{2 B a c \,d^{3}}{\left(e x +d \right) e^{4}}+\frac{6 B a c \,d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{4 B a c d x}{e^{3}}+\frac{B \,b^{2} d^{3}}{\left(e x +d \right) e^{4}}+\frac{3 B \,b^{2} d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{2 B \,b^{2} d x}{e^{3}}-\frac{2 B b c \,d^{4}}{\left(e x +d \right) e^{5}}-\frac{8 B b c \,d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{6 B b c \,d^{2} x}{e^{4}}+\frac{B \,c^{2} d^{5}}{\left(e x +d \right) e^{6}}+\frac{5 B \,c^{2} d^{4} \ln \left(e x +d \right)}{e^{6}}-\frac{4 B \,c^{2} d^{3} x}{e^{5}}"," ",0,"1/e^2*A*b^2*x-1/e/(e*x+d)*A*a^2+1/e^2*ln(e*x+d)*B*a^2+1/3/e^2*A*x^3*c^2+2/3/e^2*B*x^3*b*c-2/3/e^3*B*x^3*c^2*d-4/e^5*B*c^2*d^3*x-1/e^3/(e*x+d)*A*b^2*d^2-1/e^5/(e*x+d)*A*c^2*d^4+1/e^2/(e*x+d)*B*a^2*d+1/e^4/(e*x+d)*B*b^2*d^3+1/e^6/(e*x+d)*B*c^2*d^5+3/2/e^4*B*x^2*c^2*d^2+2/e^2*A*a*c*x+3/e^4*A*c^2*d^2*x+2/e^2*B*a*b*x+1/e^2*A*x^2*b*c-2/e^3*B*b^2*d*x-4/e^5*ln(e*x+d)*A*c^2*d^3+3/e^4*ln(e*x+d)*B*b^2*d^2-1/e^3*A*x^2*c^2*d+1/e^2*B*x^2*a*c+2/e^2*ln(e*x+d)*A*a*b-4/e^3*ln(e*x+d)*B*a*b*d+6/e^4*ln(e*x+d)*B*a*c*d^2-8/e^5*ln(e*x+d)*B*b*c*d^3-2/e^5/(e*x+d)*B*b*c*d^4+2/e^4/(e*x+d)*A*b*c*d^3-2/e^3/(e*x+d)*B*a*b*d^2+2/e^4/(e*x+d)*B*d^3*a*c-2/e^3*B*x^2*b*c*d-2/e^3/(e*x+d)*A*d^2*a*c-4/e^3*ln(e*x+d)*A*a*c*d+6/e^4*ln(e*x+d)*A*b*c*d^2-2/e^3*ln(e*x+d)*A*b^2*d+5/e^6*ln(e*x+d)*B*c^2*d^4-4/e^3*A*b*c*d*x-4/e^3*B*a*c*d*x+6/e^4*B*b*c*d^2*x+2/e^2/(e*x+d)*A*d*a*b+1/4*B*c^2/e^2*x^4+1/2*B*b^2/e^2*x^2","B"
2326,1,654,275,0.053000," ","int((B*x+A)*(c*x^2+b*x+a)^2/(e*x+d)^3,x)","\frac{B \,c^{2} x^{3}}{3 e^{3}}-\frac{A \,a^{2}}{2 \left(e x +d \right)^{2} e}+\frac{A a b d}{\left(e x +d \right)^{2} e^{2}}-\frac{A a c \,d^{2}}{\left(e x +d \right)^{2} e^{3}}-\frac{A \,b^{2} d^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{A b c \,d^{3}}{\left(e x +d \right)^{2} e^{4}}-\frac{A \,c^{2} d^{4}}{2 \left(e x +d \right)^{2} e^{5}}+\frac{A \,c^{2} x^{2}}{2 e^{3}}+\frac{B \,a^{2} d}{2 \left(e x +d \right)^{2} e^{2}}-\frac{B a b \,d^{2}}{\left(e x +d \right)^{2} e^{3}}+\frac{B a c \,d^{3}}{\left(e x +d \right)^{2} e^{4}}+\frac{B \,b^{2} d^{3}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{B b c \,d^{4}}{\left(e x +d \right)^{2} e^{5}}+\frac{B b c \,x^{2}}{e^{3}}+\frac{B \,c^{2} d^{5}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{3 B \,c^{2} d \,x^{2}}{2 e^{4}}-\frac{2 A a b}{\left(e x +d \right) e^{2}}+\frac{4 A a c d}{\left(e x +d \right) e^{3}}+\frac{2 A a c \ln \left(e x +d \right)}{e^{3}}+\frac{2 A \,b^{2} d}{\left(e x +d \right) e^{3}}+\frac{A \,b^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{6 A b c \,d^{2}}{\left(e x +d \right) e^{4}}-\frac{6 A b c d \ln \left(e x +d \right)}{e^{4}}+\frac{2 A b c x}{e^{3}}+\frac{4 A \,c^{2} d^{3}}{\left(e x +d \right) e^{5}}+\frac{6 A \,c^{2} d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{3 A \,c^{2} d x}{e^{4}}-\frac{B \,a^{2}}{\left(e x +d \right) e^{2}}+\frac{4 B a b d}{\left(e x +d \right) e^{3}}+\frac{2 B a b \ln \left(e x +d \right)}{e^{3}}-\frac{6 B a c \,d^{2}}{\left(e x +d \right) e^{4}}-\frac{6 B a c d \ln \left(e x +d \right)}{e^{4}}+\frac{2 B a c x}{e^{3}}-\frac{3 B \,b^{2} d^{2}}{\left(e x +d \right) e^{4}}-\frac{3 B \,b^{2} d \ln \left(e x +d \right)}{e^{4}}+\frac{B \,b^{2} x}{e^{3}}+\frac{8 B b c \,d^{3}}{\left(e x +d \right) e^{5}}+\frac{12 B b c \,d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{6 B b c d x}{e^{4}}-\frac{5 B \,c^{2} d^{4}}{\left(e x +d \right) e^{6}}-\frac{10 B \,c^{2} d^{3} \ln \left(e x +d \right)}{e^{6}}+\frac{6 B \,c^{2} d^{2} x}{e^{5}}"," ",0,"12/e^5*ln(e*x+d)*B*b*c*d^2-6/e^4/(e*x+d)*A*b*c*d^2+4/e^3/(e*x+d)*B*a*b*d-1/2/e/(e*x+d)^2*A*a^2-1/e^2/(e*x+d)*B*a^2+A*b^2/e^3*ln(e*x+d)-6/e^4*ln(e*x+d)*A*b*c*d-6/e^4*ln(e*x+d)*B*a*c*d-1/e^3/(e*x+d)^2*A*d^2*a*c+1/2/e^3*A*x^2*c^2-6/e^4/(e*x+d)*B*a*c*d^2+1/e^4/(e*x+d)^2*B*d^3*a*c-1/e^5/(e*x+d)^2*B*b*c*d^4+1/e^4/(e*x+d)^2*A*b*c*d^3+1/e^2/(e*x+d)^2*A*d*a*b+8/e^5/(e*x+d)*B*b*c*d^3-1/e^3/(e*x+d)^2*B*d^2*a*b-6/e^4*B*b*c*d*x+2/e^3/(e*x+d)*A*b^2*d+4/e^5/(e*x+d)*A*c^2*d^3-10/e^6*ln(e*x+d)*B*c^2*d^3+4/e^3/(e*x+d)*A*a*c*d-3/e^4/(e*x+d)*B*b^2*d^2-5/e^6/(e*x+d)*B*c^2*d^4-1/2/e^3/(e*x+d)^2*A*d^2*b^2-1/2/e^5/(e*x+d)^2*A*c^2*d^4+1/2/e^2/(e*x+d)^2*B*a^2*d+1/2/e^4/(e*x+d)^2*B*b^2*d^3+1/2/e^6/(e*x+d)^2*B*c^2*d^5+2/e^3*ln(e*x+d)*A*a*c+1/e^3*B*x^2*b*c-3/2/e^4*B*x^2*c^2*d+6/e^5*ln(e*x+d)*A*c^2*d^2+2/e^3*A*b*c*x-3/e^4*A*x*c^2*d+2/e^3*B*x*a*c+6/e^5*B*c^2*d^2*x-2/e^2/(e*x+d)*A*a*b+2/e^3*ln(e*x+d)*B*a*b-3/e^4*ln(e*x+d)*B*b^2*d+B*b^2/e^3*x+1/3*B*c^2/e^3*x^3","B"
2327,1,690,280,0.056000," ","int((B*x+A)*(c*x^2+b*x+a)^2/(e*x+d)^4,x)","-\frac{A \,a^{2}}{3 \left(e x +d \right)^{3} e}+\frac{2 A a b d}{3 \left(e x +d \right)^{3} e^{2}}-\frac{2 A a c \,d^{2}}{3 \left(e x +d \right)^{3} e^{3}}-\frac{A \,b^{2} d^{2}}{3 \left(e x +d \right)^{3} e^{3}}+\frac{2 A b c \,d^{3}}{3 \left(e x +d \right)^{3} e^{4}}-\frac{A \,c^{2} d^{4}}{3 \left(e x +d \right)^{3} e^{5}}+\frac{B \,a^{2} d}{3 \left(e x +d \right)^{3} e^{2}}-\frac{2 B a b \,d^{2}}{3 \left(e x +d \right)^{3} e^{3}}+\frac{2 B a c \,d^{3}}{3 \left(e x +d \right)^{3} e^{4}}+\frac{B \,b^{2} d^{3}}{3 \left(e x +d \right)^{3} e^{4}}-\frac{2 B b c \,d^{4}}{3 \left(e x +d \right)^{3} e^{5}}+\frac{B \,c^{2} d^{5}}{3 \left(e x +d \right)^{3} e^{6}}-\frac{A a b}{\left(e x +d \right)^{2} e^{2}}+\frac{2 A a c d}{\left(e x +d \right)^{2} e^{3}}+\frac{A \,b^{2} d}{\left(e x +d \right)^{2} e^{3}}-\frac{3 A b c \,d^{2}}{\left(e x +d \right)^{2} e^{4}}+\frac{2 A \,c^{2} d^{3}}{\left(e x +d \right)^{2} e^{5}}-\frac{B \,a^{2}}{2 \left(e x +d \right)^{2} e^{2}}+\frac{2 B a b d}{\left(e x +d \right)^{2} e^{3}}-\frac{3 B a c \,d^{2}}{\left(e x +d \right)^{2} e^{4}}-\frac{3 B \,b^{2} d^{2}}{2 \left(e x +d \right)^{2} e^{4}}+\frac{4 B b c \,d^{3}}{\left(e x +d \right)^{2} e^{5}}-\frac{5 B \,c^{2} d^{4}}{2 \left(e x +d \right)^{2} e^{6}}+\frac{B \,c^{2} x^{2}}{2 e^{4}}-\frac{2 A a c}{\left(e x +d \right) e^{3}}-\frac{A \,b^{2}}{\left(e x +d \right) e^{3}}+\frac{6 A b c d}{\left(e x +d \right) e^{4}}+\frac{2 A b c \ln \left(e x +d \right)}{e^{4}}-\frac{6 A \,c^{2} d^{2}}{\left(e x +d \right) e^{5}}-\frac{4 A \,c^{2} d \ln \left(e x +d \right)}{e^{5}}+\frac{A \,c^{2} x}{e^{4}}-\frac{2 B a b}{\left(e x +d \right) e^{3}}+\frac{6 B a c d}{\left(e x +d \right) e^{4}}+\frac{2 B a c \ln \left(e x +d \right)}{e^{4}}+\frac{3 B \,b^{2} d}{\left(e x +d \right) e^{4}}+\frac{B \,b^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{12 B b c \,d^{2}}{\left(e x +d \right) e^{5}}-\frac{8 B b c d \ln \left(e x +d \right)}{e^{5}}+\frac{2 B b c x}{e^{4}}+\frac{10 B \,c^{2} d^{3}}{\left(e x +d \right) e^{6}}+\frac{10 B \,c^{2} d^{2} \ln \left(e x +d \right)}{e^{6}}-\frac{4 B \,c^{2} d x}{e^{5}}"," ",0,"-2/3/e^5/(e*x+d)^3*B*b*c*d^4+2/(e*x+d)^2*A*a*c*d/e^3-3/(e*x+d)^2*B*a*c*d^2/e^4+1/3/(e*x+d)^3*B*b^2*d^3/e^4-1/(e*x+d)^2*A*a*b/e^2+1/(e*x+d)^2*A*b^2*d/e^3+A*c^2/e^4*x-1/2/(e*x+d)^2*B*a^2/e^2-1/3/(e*x+d)^3*A*a^2/e+6/(e*x+d)*B*a*c*d/e^4-1/(e*x+d)*A*b^2/e^3+2/(e*x+d)^2*B*a*b*d/e^3-2/3/(e*x+d)^3*B*a*b*d^2/e^3+2/3/(e*x+d)^3*A*a*b*d/e^2+1/3/(e*x+d)^3*B*c^2*d^5/e^6-4*A*c^2*d/e^5*ln(e*x+d)+2*B*a*c/e^4*ln(e*x+d)+10*B*c^2*d^2/e^6*ln(e*x+d)+4/e^5/(e*x+d)^2*B*b*c*d^3-1/3/(e*x+d)^3*A*b^2*d^2/e^3-2/3/(e*x+d)^3*A*a*c*d^2/e^3+2/3/(e*x+d)^3*B*a*c*d^3/e^4-2/(e*x+d)*B*a*b/e^3+3/(e*x+d)*B*b^2*d/e^4-6/(e*x+d)*A*c^2*d^2/e^5+10/(e*x+d)*B*c^2*d^3/e^6-3/2/(e*x+d)^2*B*b^2*d^2/e^4-3/e^4/(e*x+d)^2*A*b*c*d^2-12/e^5/(e*x+d)*B*b*c*d^2+6/e^4/(e*x+d)*A*b*c*d-2/(e*x+d)*A*a*c/e^3+2/3/e^4/(e*x+d)^3*A*d^3*b*c-8/e^5*ln(e*x+d)*B*b*c*d-4*B*c^2*d/e^5*x+2/(e*x+d)^2*A*c^2*d^3/e^5-5/2/(e*x+d)^2*B*c^2*d^4/e^6-1/3/(e*x+d)^3*A*c^2*d^4/e^5+1/3/(e*x+d)^3*B*a^2*d/e^2+2*c/e^4*B*b*x+2/e^4*ln(e*x+d)*A*b*c+1/2*B*c^2/e^4*x^2+B*b^2/e^4*ln(e*x+d)","B"
2328,1,710,283,0.052000," ","int((B*x+A)*(c*x^2+b*x+a)^2/(e*x+d)^5,x)","-\frac{A \,a^{2}}{4 \left(e x +d \right)^{4} e}+\frac{A a b d}{2 \left(e x +d \right)^{4} e^{2}}-\frac{A a c \,d^{2}}{2 \left(e x +d \right)^{4} e^{3}}-\frac{A \,b^{2} d^{2}}{4 \left(e x +d \right)^{4} e^{3}}+\frac{A b c \,d^{3}}{2 \left(e x +d \right)^{4} e^{4}}-\frac{A \,c^{2} d^{4}}{4 \left(e x +d \right)^{4} e^{5}}+\frac{B \,a^{2} d}{4 \left(e x +d \right)^{4} e^{2}}-\frac{B a b \,d^{2}}{2 \left(e x +d \right)^{4} e^{3}}+\frac{B a c \,d^{3}}{2 \left(e x +d \right)^{4} e^{4}}+\frac{B \,b^{2} d^{3}}{4 \left(e x +d \right)^{4} e^{4}}-\frac{B b c \,d^{4}}{2 \left(e x +d \right)^{4} e^{5}}+\frac{B \,c^{2} d^{5}}{4 \left(e x +d \right)^{4} e^{6}}-\frac{2 A a b}{3 \left(e x +d \right)^{3} e^{2}}+\frac{4 A a c d}{3 \left(e x +d \right)^{3} e^{3}}+\frac{2 A \,b^{2} d}{3 \left(e x +d \right)^{3} e^{3}}-\frac{2 A b c \,d^{2}}{\left(e x +d \right)^{3} e^{4}}+\frac{4 A \,c^{2} d^{3}}{3 \left(e x +d \right)^{3} e^{5}}-\frac{B \,a^{2}}{3 \left(e x +d \right)^{3} e^{2}}+\frac{4 B a b d}{3 \left(e x +d \right)^{3} e^{3}}-\frac{2 B a c \,d^{2}}{\left(e x +d \right)^{3} e^{4}}-\frac{B \,b^{2} d^{2}}{\left(e x +d \right)^{3} e^{4}}+\frac{8 B b c \,d^{3}}{3 \left(e x +d \right)^{3} e^{5}}-\frac{5 B \,c^{2} d^{4}}{3 \left(e x +d \right)^{3} e^{6}}-\frac{A a c}{\left(e x +d \right)^{2} e^{3}}-\frac{A \,b^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{3 A b c d}{\left(e x +d \right)^{2} e^{4}}-\frac{3 A \,c^{2} d^{2}}{\left(e x +d \right)^{2} e^{5}}-\frac{B a b}{\left(e x +d \right)^{2} e^{3}}+\frac{3 B a c d}{\left(e x +d \right)^{2} e^{4}}+\frac{3 B \,b^{2} d}{2 \left(e x +d \right)^{2} e^{4}}-\frac{6 B b c \,d^{2}}{\left(e x +d \right)^{2} e^{5}}+\frac{5 B \,c^{2} d^{3}}{\left(e x +d \right)^{2} e^{6}}-\frac{2 A b c}{\left(e x +d \right) e^{4}}+\frac{4 A \,c^{2} d}{\left(e x +d \right) e^{5}}+\frac{A \,c^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{2 B a c}{\left(e x +d \right) e^{4}}-\frac{B \,b^{2}}{\left(e x +d \right) e^{4}}+\frac{8 B b c d}{\left(e x +d \right) e^{5}}+\frac{2 B b c \ln \left(e x +d \right)}{e^{5}}-\frac{10 B \,c^{2} d^{2}}{\left(e x +d \right) e^{6}}-\frac{5 B \,c^{2} d \ln \left(e x +d \right)}{e^{6}}+\frac{B \,c^{2} x}{e^{5}}"," ",0,"1/2/e^4/(e*x+d)^4*A*d^3*b*c-1/2/e^3/(e*x+d)^4*B*d^2*a*b+1/2/e^2/(e*x+d)^4*A*d*a*b-1/2/e^3/(e*x+d)^4*A*d^2*a*c+4/3/e^3/(e*x+d)^3*A*a*c*d-1/2/e^5/(e*x+d)^4*B*d^4*b*c+4/3/e^3/(e*x+d)^3*B*a*b*d-2/e^4/(e*x+d)^3*A*b*c*d^2+8/3/e^5/(e*x+d)^3*B*b*c*d^3-2/e^4/(e*x+d)^3*B*a*c*d^2+1/4/e^6/(e*x+d)^4*B*c^2*d^5+2*c/e^5*ln(e*x+d)*B*b-1/e^4/(e*x+d)*B*b^2-1/3/e^2/(e*x+d)^3*B*a^2+c^2/e^5*ln(e*x+d)*A-1/4/e/(e*x+d)^4*A*a^2-1/2/e^3/(e*x+d)^2*A*b^2+1/4/e^2/(e*x+d)^4*B*a^2*d+1/4/e^4/(e*x+d)^4*B*d^3*b^2-2/e^4/(e*x+d)*A*b*c+1/2/e^4/(e*x+d)^4*B*d^3*a*c-6/e^5/(e*x+d)^2*B*b*c*d^2+8/e^5/(e*x+d)*B*b*c*d+3/e^4/(e*x+d)^2*A*b*c*d-5*c^2/e^6*ln(e*x+d)*B*d-3/e^5/(e*x+d)^2*A*c^2*d^2-1/e^3/(e*x+d)^2*B*a*b+3/2/e^4/(e*x+d)^2*B*b^2*d+5/e^6/(e*x+d)^2*B*c^2*d^3-1/4/e^3/(e*x+d)^4*A*d^2*b^2-1/4/e^5/(e*x+d)^4*A*c^2*d^4+3/e^4/(e*x+d)^2*B*a*c*d-5/3/e^6/(e*x+d)^3*B*c^2*d^4-2/3/e^2/(e*x+d)^3*A*a*b+2/3/e^3/(e*x+d)^3*A*b^2*d+4/3/e^5/(e*x+d)^3*A*c^2*d^3+4/e^5/(e*x+d)*A*c^2*d-2/e^4/(e*x+d)*B*a*c-10/e^6/(e*x+d)*B*c^2*d^2-1/e^3/(e*x+d)^2*A*a*c-1/e^4/(e*x+d)^3*B*b^2*d^2+B*c^2/e^5*x","B"
2329,1,715,289,0.056000," ","int((B*x+A)*(c*x^2+b*x+a)^2/(e*x+d)^6,x)","-\frac{A \,a^{2}}{5 \left(e x +d \right)^{5} e}+\frac{2 A a b d}{5 \left(e x +d \right)^{5} e^{2}}-\frac{2 A a c \,d^{2}}{5 \left(e x +d \right)^{5} e^{3}}-\frac{A \,b^{2} d^{2}}{5 \left(e x +d \right)^{5} e^{3}}+\frac{2 A b c \,d^{3}}{5 \left(e x +d \right)^{5} e^{4}}-\frac{A \,c^{2} d^{4}}{5 \left(e x +d \right)^{5} e^{5}}+\frac{B \,a^{2} d}{5 \left(e x +d \right)^{5} e^{2}}-\frac{2 B a b \,d^{2}}{5 \left(e x +d \right)^{5} e^{3}}+\frac{2 B a c \,d^{3}}{5 \left(e x +d \right)^{5} e^{4}}+\frac{B \,b^{2} d^{3}}{5 \left(e x +d \right)^{5} e^{4}}-\frac{2 B b c \,d^{4}}{5 \left(e x +d \right)^{5} e^{5}}+\frac{B \,c^{2} d^{5}}{5 \left(e x +d \right)^{5} e^{6}}-\frac{A a b}{2 \left(e x +d \right)^{4} e^{2}}+\frac{A a c d}{\left(e x +d \right)^{4} e^{3}}+\frac{A \,b^{2} d}{2 \left(e x +d \right)^{4} e^{3}}-\frac{3 A b c \,d^{2}}{2 \left(e x +d \right)^{4} e^{4}}+\frac{A \,c^{2} d^{3}}{\left(e x +d \right)^{4} e^{5}}-\frac{B \,a^{2}}{4 \left(e x +d \right)^{4} e^{2}}+\frac{B a b d}{\left(e x +d \right)^{4} e^{3}}-\frac{3 B a c \,d^{2}}{2 \left(e x +d \right)^{4} e^{4}}-\frac{3 B \,b^{2} d^{2}}{4 \left(e x +d \right)^{4} e^{4}}+\frac{2 B b c \,d^{3}}{\left(e x +d \right)^{4} e^{5}}-\frac{5 B \,c^{2} d^{4}}{4 \left(e x +d \right)^{4} e^{6}}-\frac{2 A a c}{3 \left(e x +d \right)^{3} e^{3}}-\frac{A \,b^{2}}{3 \left(e x +d \right)^{3} e^{3}}+\frac{2 A b c d}{\left(e x +d \right)^{3} e^{4}}-\frac{2 A \,c^{2} d^{2}}{\left(e x +d \right)^{3} e^{5}}-\frac{2 B a b}{3 \left(e x +d \right)^{3} e^{3}}+\frac{2 B a c d}{\left(e x +d \right)^{3} e^{4}}+\frac{B \,b^{2} d}{\left(e x +d \right)^{3} e^{4}}-\frac{4 B b c \,d^{2}}{\left(e x +d \right)^{3} e^{5}}+\frac{10 B \,c^{2} d^{3}}{3 \left(e x +d \right)^{3} e^{6}}-\frac{A b c}{\left(e x +d \right)^{2} e^{4}}+\frac{2 A \,c^{2} d}{\left(e x +d \right)^{2} e^{5}}-\frac{B a c}{\left(e x +d \right)^{2} e^{4}}-\frac{B \,b^{2}}{2 \left(e x +d \right)^{2} e^{4}}+\frac{4 B b c d}{\left(e x +d \right)^{2} e^{5}}-\frac{5 B \,c^{2} d^{2}}{\left(e x +d \right)^{2} e^{6}}-\frac{A \,c^{2}}{\left(e x +d \right) e^{5}}-\frac{2 B b c}{\left(e x +d \right) e^{5}}+\frac{5 B \,c^{2} d}{\left(e x +d \right) e^{6}}+\frac{B \,c^{2} \ln \left(e x +d \right)}{e^{6}}"," ",0,"-1/3/e^3/(e*x+d)^3*A*b^2-1/5/e/(e*x+d)^5*A*a^2-1/4/e^2/(e*x+d)^4*B*a^2-c^2/e^5/(e*x+d)*A+1/e^3/(e*x+d)^4*A*a*c*d+1/e^3/(e*x+d)^4*B*d*a*b+4/e^5/(e*x+d)^2*B*b*c*d-3/2/e^4/(e*x+d)^4*A*b*c*d^2-2/5/e^3/(e*x+d)^5*B*d^2*a*b+2/5/e^2/(e*x+d)^5*A*a*b*d-3/2/e^4/(e*x+d)^4*B*a*c*d^2+2/e^5/(e*x+d)^4*B*d^3*b*c-2/5/e^3/(e*x+d)^5*A*d^2*a*c+2/5/e^4/(e*x+d)^5*A*b*c*d^3+2/e^4/(e*x+d)^3*B*a*c*d-4/e^5/(e*x+d)^3*B*b*c*d^2+2/5/e^4/(e*x+d)^5*B*d^3*a*c-2/5/e^5/(e*x+d)^5*B*d^4*b*c+2/e^4/(e*x+d)^3*A*b*c*d+5*c^2/e^6/(e*x+d)*B*d-1/e^4/(e*x+d)^2*A*b*c+2/e^5/(e*x+d)^2*A*c^2*d-1/e^4/(e*x+d)^2*a*B*c-2*c/e^5/(e*x+d)*B*b+10/3/e^6/(e*x+d)^3*B*c^2*d^3+1/e^4/(e*x+d)^3*B*b^2*d+1/5/e^2/(e*x+d)^5*B*a^2*d+1/e^5/(e*x+d)^4*A*c^2*d^3-5/e^6/(e*x+d)^2*B*d^2*c^2+1/5/e^6/(e*x+d)^5*B*c^2*d^5-2/3/e^3/(e*x+d)^3*A*a*c+1/2/e^3/(e*x+d)^4*A*d*b^2+1/5/e^4/(e*x+d)^5*B*d^3*b^2-2/e^5/(e*x+d)^3*A*c^2*d^2-1/5/e^3/(e*x+d)^5*A*d^2*b^2-1/5/e^5/(e*x+d)^5*A*c^2*d^4-1/2/e^2/(e*x+d)^4*A*a*b-3/4/e^4/(e*x+d)^4*B*b^2*d^2-5/4/e^6/(e*x+d)^4*B*d^4*c^2-2/3/e^3/(e*x+d)^3*B*a*b+B*c^2/e^6*ln(e*x+d)-1/2/(e*x+d)^2*B*b^2/e^4","B"
2330,1,453,292,0.052000," ","int((B*x+A)*(c*x^2+b*x+a)^2/(e*x+d)^7,x)","-\frac{B \,c^{2}}{\left(e x +d \right) e^{6}}-\frac{\left(A c e +2 B b e -5 B c d \right) c}{2 \left(e x +d \right)^{2} e^{6}}-\frac{A \,a^{2} e^{5}-2 A a b d \,e^{4}+2 A \,d^{2} a c \,e^{3}+A \,d^{2} b^{2} e^{3}-2 A b c \,d^{3} e^{2}+A \,c^{2} d^{4} e -B \,a^{2} d \,e^{4}+2 B \,d^{2} a b \,e^{3}-2 B \,d^{3} a c \,e^{2}-B \,d^{3} b^{2} e^{2}+2 B \,d^{4} b c e -B \,c^{2} d^{5}}{6 \left(e x +d \right)^{6} e^{6}}-\frac{2 A a c \,e^{3}+A \,b^{2} e^{3}-6 A b c d \,e^{2}+6 A \,c^{2} d^{2} e +2 B a b \,e^{3}-6 B a c d \,e^{2}-3 B \,b^{2} d \,e^{2}+12 B b c \,d^{2} e -10 B \,c^{2} d^{3}}{4 \left(e x +d \right)^{4} e^{6}}-\frac{2 A a b \,e^{4}-4 A a c d \,e^{3}-2 A d \,b^{2} e^{3}+6 A b c \,d^{2} e^{2}-4 A \,c^{2} d^{3} e +B \,a^{2} e^{4}-4 B d a b \,e^{3}+6 B a c \,d^{2} e^{2}+3 B \,b^{2} d^{2} e^{2}-8 B \,d^{3} b c e +5 B \,c^{2} d^{4}}{5 \left(e x +d \right)^{5} e^{6}}-\frac{2 A b c \,e^{2}-4 A \,c^{2} d e +2 a B c \,e^{2}+b^{2} B \,e^{2}-8 B b c d e +10 B \,c^{2} d^{2}}{3 \left(e x +d \right)^{3} e^{6}}"," ",0,"-1/(e*x+d)*B*c^2/e^6-1/2*c*(A*c*e+2*B*b*e-5*B*c*d)/e^6/(e*x+d)^2-1/6*(A*a^2*e^5-2*A*a*b*d*e^4+2*A*a*c*d^2*e^3+A*b^2*d^2*e^3-2*A*b*c*d^3*e^2+A*c^2*d^4*e-B*a^2*d*e^4+2*B*a*b*d^2*e^3-2*B*a*c*d^3*e^2-B*b^2*d^3*e^2+2*B*b*c*d^4*e-B*c^2*d^5)/e^6/(e*x+d)^6-1/4*(2*A*a*c*e^3+A*b^2*e^3-6*A*b*c*d*e^2+6*A*c^2*d^2*e+2*B*a*b*e^3-6*B*a*c*d*e^2-3*B*b^2*d*e^2+12*B*b*c*d^2*e-10*B*c^2*d^3)/e^6/(e*x+d)^4-1/5*(2*A*a*b*e^4-4*A*a*c*d*e^3-2*A*b^2*d*e^3+6*A*b*c*d^2*e^2-4*A*c^2*d^3*e+B*a^2*e^4-4*B*a*b*d*e^3+6*B*a*c*d^2*e^2+3*B*b^2*d^2*e^2-8*B*b*c*d^3*e+5*B*c^2*d^4)/e^6/(e*x+d)^5-1/3*(2*A*b*c*e^2-4*A*c^2*d*e+2*B*a*c*e^2+B*b^2*e^2-8*B*b*c*d*e+10*B*c^2*d^2)/e^6/(e*x+d)^3","A"
2331,1,453,292,0.051000," ","int((B*x+A)*(c*x^2+b*x+a)^2/(e*x+d)^8,x)","-\frac{B \,c^{2}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{\left(A c e +2 B b e -5 B c d \right) c}{3 \left(e x +d \right)^{3} e^{6}}-\frac{2 A a b \,e^{4}-4 A a c d \,e^{3}-2 A d \,b^{2} e^{3}+6 A b c \,d^{2} e^{2}-4 A \,c^{2} d^{3} e +B \,a^{2} e^{4}-4 B d a b \,e^{3}+6 B a c \,d^{2} e^{2}+3 B \,b^{2} d^{2} e^{2}-8 B \,d^{3} b c e +5 B \,c^{2} d^{4}}{6 \left(e x +d \right)^{6} e^{6}}-\frac{2 A b c \,e^{2}-4 A \,c^{2} d e +2 a B c \,e^{2}+b^{2} B \,e^{2}-8 B b c d e +10 B \,c^{2} d^{2}}{4 \left(e x +d \right)^{4} e^{6}}-\frac{2 A a c \,e^{3}+A \,b^{2} e^{3}-6 A b c d \,e^{2}+6 A \,c^{2} d^{2} e +2 B a b \,e^{3}-6 B a c d \,e^{2}-3 B \,b^{2} d \,e^{2}+12 B b c \,d^{2} e -10 B \,c^{2} d^{3}}{5 \left(e x +d \right)^{5} e^{6}}-\frac{A \,a^{2} e^{5}-2 A a b d \,e^{4}+2 A \,d^{2} a c \,e^{3}+A \,d^{2} b^{2} e^{3}-2 A b c \,d^{3} e^{2}+A \,c^{2} d^{4} e -B \,a^{2} d \,e^{4}+2 B \,d^{2} a b \,e^{3}-2 B \,d^{3} a c \,e^{2}-B \,d^{3} b^{2} e^{2}+2 B \,d^{4} b c e -B \,c^{2} d^{5}}{7 \left(e x +d \right)^{7} e^{6}}"," ",0,"-1/2/(e*x+d)^2*B*c^2/e^6-1/6*(2*A*a*b*e^4-4*A*a*c*d*e^3-2*A*b^2*d*e^3+6*A*b*c*d^2*e^2-4*A*c^2*d^3*e+B*a^2*e^4-4*B*a*b*d*e^3+6*B*a*c*d^2*e^2+3*B*b^2*d^2*e^2-8*B*b*c*d^3*e+5*B*c^2*d^4)/e^6/(e*x+d)^6-1/4*(2*A*b*c*e^2-4*A*c^2*d*e+2*B*a*c*e^2+B*b^2*e^2-8*B*b*c*d*e+10*B*c^2*d^2)/e^6/(e*x+d)^4-1/5*(2*A*a*c*e^3+A*b^2*e^3-6*A*b*c*d*e^2+6*A*c^2*d^2*e+2*B*a*b*e^3-6*B*a*c*d*e^2-3*B*b^2*d*e^2+12*B*b*c*d^2*e-10*B*c^2*d^3)/e^6/(e*x+d)^5-1/3*c*(A*c*e+2*B*b*e-5*B*c*d)/e^6/(e*x+d)^3-1/7*(A*a^2*e^5-2*A*a*b*d*e^4+2*A*a*c*d^2*e^3+A*b^2*d^2*e^3-2*A*b*c*d^3*e^2+A*c^2*d^4*e-B*a^2*d*e^4+2*B*a*b*d^2*e^3-2*B*a*c*d^3*e^2-B*b^2*d^3*e^2+2*B*b*c*d^4*e-B*c^2*d^5)/e^6/(e*x+d)^7","A"
2332,1,453,292,0.047000," ","int((B*x+A)*(c*x^2+b*x+a)^2/(e*x+d)^9,x)","-\frac{B \,c^{2}}{3 \left(e x +d \right)^{3} e^{6}}-\frac{\left(A c e +2 B b e -5 B c d \right) c}{4 \left(e x +d \right)^{4} e^{6}}-\frac{A \,a^{2} e^{5}-2 A a b d \,e^{4}+2 A \,d^{2} a c \,e^{3}+A \,d^{2} b^{2} e^{3}-2 A b c \,d^{3} e^{2}+A \,c^{2} d^{4} e -B \,a^{2} d \,e^{4}+2 B \,d^{2} a b \,e^{3}-2 B \,d^{3} a c \,e^{2}-B \,d^{3} b^{2} e^{2}+2 B \,d^{4} b c e -B \,c^{2} d^{5}}{8 \left(e x +d \right)^{8} e^{6}}-\frac{2 A a c \,e^{3}+A \,b^{2} e^{3}-6 A b c d \,e^{2}+6 A \,c^{2} d^{2} e +2 B a b \,e^{3}-6 B a c d \,e^{2}-3 B \,b^{2} d \,e^{2}+12 B b c \,d^{2} e -10 B \,c^{2} d^{3}}{6 \left(e x +d \right)^{6} e^{6}}-\frac{2 A b c \,e^{2}-4 A \,c^{2} d e +2 a B c \,e^{2}+b^{2} B \,e^{2}-8 B b c d e +10 B \,c^{2} d^{2}}{5 \left(e x +d \right)^{5} e^{6}}-\frac{2 A a b \,e^{4}-4 A a c d \,e^{3}-2 A d \,b^{2} e^{3}+6 A b c \,d^{2} e^{2}-4 A \,c^{2} d^{3} e +B \,a^{2} e^{4}-4 B d a b \,e^{3}+6 B a c \,d^{2} e^{2}+3 B \,b^{2} d^{2} e^{2}-8 B \,d^{3} b c e +5 B \,c^{2} d^{4}}{7 \left(e x +d \right)^{7} e^{6}}"," ",0,"-1/8*(A*a^2*e^5-2*A*a*b*d*e^4+2*A*a*c*d^2*e^3+A*b^2*d^2*e^3-2*A*b*c*d^3*e^2+A*c^2*d^4*e-B*a^2*d*e^4+2*B*a*b*d^2*e^3-2*B*a*c*d^3*e^2-B*b^2*d^3*e^2+2*B*b*c*d^4*e-B*c^2*d^5)/e^6/(e*x+d)^8-1/6*(2*A*a*c*e^3+A*b^2*e^3-6*A*b*c*d*e^2+6*A*c^2*d^2*e+2*B*a*b*e^3-6*B*a*c*d*e^2-3*B*b^2*d*e^2+12*B*b*c*d^2*e-10*B*c^2*d^3)/e^6/(e*x+d)^6-1/4*c*(A*c*e+2*B*b*e-5*B*c*d)/e^6/(e*x+d)^4-1/5*(2*A*b*c*e^2-4*A*c^2*d*e+2*B*a*c*e^2+B*b^2*e^2-8*B*b*c*d*e+10*B*c^2*d^2)/e^6/(e*x+d)^5-1/3/(e*x+d)^3*B*c^2/e^6-1/7*(2*A*a*b*e^4-4*A*a*c*d*e^3-2*A*b^2*d*e^3+6*A*b*c*d^2*e^2-4*A*c^2*d^3*e+B*a^2*e^4-4*B*a*b*d*e^3+6*B*a*c*d^2*e^2+3*B*b^2*d^2*e^2-8*B*b*c*d^3*e+5*B*c^2*d^4)/e^6/(e*x+d)^7","A"
2333,1,1263,539,0.040000," ","int((B*x+A)*(e*x+d)^5*(c*x^2+b*x+a)^3,x)","\frac{B \,c^{3} e^{5} x^{13}}{13}+\frac{\left(3 B b \,c^{2} e^{5}+\left(A \,e^{5}+5 B d \,e^{4}\right) c^{3}\right) x^{12}}{12}+\frac{\left(\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) B \,e^{5}+3 \left(A \,e^{5}+5 B d \,e^{4}\right) b \,c^{2}+\left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) c^{3}\right) x^{11}}{11}+A \,a^{3} d^{5} x +\frac{\left(\left(4 a b c +\left(2 a c +b^{2}\right) b \right) B \,e^{5}+3 \left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) b \,c^{2}+\left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) c^{3}+\left(A \,e^{5}+5 B d \,e^{4}\right) \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right)\right) x^{10}}{10}+\frac{\left(\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) B \,e^{5}+3 \left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) b \,c^{2}+\left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) c^{3}+\left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right)+\left(A \,e^{5}+5 B d \,e^{4}\right) \left(4 a b c +\left(2 a c +b^{2}\right) b \right)\right) x^{9}}{9}+\frac{\left(3 B \,a^{2} b \,e^{5}+3 \left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) b \,c^{2}+\left(5 A \,d^{4} e +B \,d^{5}\right) c^{3}+\left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right)+\left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) \left(4 a b c +\left(2 a c +b^{2}\right) b \right)+\left(A \,e^{5}+5 B d \,e^{4}\right) \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right)\right) x^{8}}{8}+\frac{\left(A \,c^{3} d^{5}+B \,a^{3} e^{5}+3 \left(A \,e^{5}+5 B d \,e^{4}\right) a^{2} b +3 \left(5 A \,d^{4} e +B \,d^{5}\right) b \,c^{2}+\left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right)+\left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) \left(4 a b c +\left(2 a c +b^{2}\right) b \right)+\left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right)\right) x^{7}}{7}+\frac{\left(3 A b \,c^{2} d^{5}+\left(A \,e^{5}+5 B d \,e^{4}\right) a^{3}+3 \left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) a^{2} b +\left(5 A \,d^{4} e +B \,d^{5}\right) \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right)+\left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) \left(4 a b c +\left(2 a c +b^{2}\right) b \right)+\left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right)\right) x^{6}}{6}+\frac{\left(\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) A \,d^{5}+\left(5 A d \,e^{4}+10 B \,d^{2} e^{3}\right) a^{3}+3 \left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) a^{2} b +\left(5 A \,d^{4} e +B \,d^{5}\right) \left(4 a b c +\left(2 a c +b^{2}\right) b \right)+\left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right)\right) x^{5}}{5}+\frac{\left(\left(4 a b c +\left(2 a c +b^{2}\right) b \right) A \,d^{5}+\left(10 A \,d^{2} e^{3}+10 B \,d^{3} e^{2}\right) a^{3}+3 \left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) a^{2} b +\left(5 A \,d^{4} e +B \,d^{5}\right) \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right)\right) x^{4}}{4}+\frac{\left(\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) A \,d^{5}+\left(10 A \,d^{3} e^{2}+5 B \,d^{4} e \right) a^{3}+3 \left(5 A \,d^{4} e +B \,d^{5}\right) a^{2} b \right) x^{3}}{3}+\frac{\left(3 A \,a^{2} b \,d^{5}+\left(5 A \,d^{4} e +B \,d^{5}\right) a^{3}\right) x^{2}}{2}"," ",0,"1/13*B*e^5*c^3*x^13+1/12*((A*e^5+5*B*d*e^4)*c^3+3*B*e^5*b*c^2)*x^12+1/11*((5*A*d*e^4+10*B*d^2*e^3)*c^3+3*(A*e^5+5*B*d*e^4)*b*c^2+B*e^5*(a*c^2+2*b^2*c+c*(2*a*c+b^2)))*x^11+1/10*((10*A*d^2*e^3+10*B*d^3*e^2)*c^3+3*(5*A*d*e^4+10*B*d^2*e^3)*b*c^2+(A*e^5+5*B*d*e^4)*(a*c^2+2*b^2*c+c*(2*a*c+b^2))+B*e^5*(4*a*b*c+b*(2*a*c+b^2)))*x^10+1/9*((10*A*d^3*e^2+5*B*d^4*e)*c^3+3*(10*A*d^2*e^3+10*B*d^3*e^2)*b*c^2+(5*A*d*e^4+10*B*d^2*e^3)*(a*c^2+2*b^2*c+c*(2*a*c+b^2))+(A*e^5+5*B*d*e^4)*(4*a*b*c+b*(2*a*c+b^2))+B*e^5*(a*(2*a*c+b^2)+2*a*b^2+c*a^2))*x^9+1/8*((5*A*d^4*e+B*d^5)*c^3+3*(10*A*d^3*e^2+5*B*d^4*e)*b*c^2+(10*A*d^2*e^3+10*B*d^3*e^2)*(a*c^2+2*b^2*c+c*(2*a*c+b^2))+(5*A*d*e^4+10*B*d^2*e^3)*(4*a*b*c+b*(2*a*c+b^2))+(A*e^5+5*B*d*e^4)*(a*(2*a*c+b^2)+2*a*b^2+c*a^2)+3*B*e^5*a^2*b)*x^8+1/7*(A*d^5*c^3+3*(5*A*d^4*e+B*d^5)*b*c^2+(10*A*d^3*e^2+5*B*d^4*e)*(a*c^2+2*b^2*c+c*(2*a*c+b^2))+(10*A*d^2*e^3+10*B*d^3*e^2)*(4*a*b*c+b*(2*a*c+b^2))+(5*A*d*e^4+10*B*d^2*e^3)*(a*(2*a*c+b^2)+2*a*b^2+c*a^2)+3*(A*e^5+5*B*d*e^4)*a^2*b+B*e^5*a^3)*x^7+1/6*(3*A*d^5*b*c^2+(5*A*d^4*e+B*d^5)*(a*c^2+2*b^2*c+c*(2*a*c+b^2))+(10*A*d^3*e^2+5*B*d^4*e)*(4*a*b*c+b*(2*a*c+b^2))+(10*A*d^2*e^3+10*B*d^3*e^2)*(a*(2*a*c+b^2)+2*a*b^2+c*a^2)+3*(5*A*d*e^4+10*B*d^2*e^3)*a^2*b+(A*e^5+5*B*d*e^4)*a^3)*x^6+1/5*(A*d^5*(a*c^2+2*b^2*c+c*(2*a*c+b^2))+(5*A*d^4*e+B*d^5)*(4*a*b*c+b*(2*a*c+b^2))+(10*A*d^3*e^2+5*B*d^4*e)*(a*(2*a*c+b^2)+2*a*b^2+c*a^2)+3*(10*A*d^2*e^3+10*B*d^3*e^2)*a^2*b+(5*A*d*e^4+10*B*d^2*e^3)*a^3)*x^5+1/4*(A*d^5*(4*a*b*c+b*(2*a*c+b^2))+(5*A*d^4*e+B*d^5)*(a*(2*a*c+b^2)+2*a*b^2+c*a^2)+3*(10*A*d^3*e^2+5*B*d^4*e)*a^2*b+(10*A*d^2*e^3+10*B*d^3*e^2)*a^3)*x^4+1/3*(A*d^5*(a*(2*a*c+b^2)+2*a*b^2+c*a^2)+3*(5*A*d^4*e+B*d^5)*a^2*b+(10*A*d^3*e^2+5*B*d^4*e)*a^3)*x^3+1/2*(3*A*d^5*a^2*b+(5*A*d^4*e+B*d^5)*a^3)*x^2+A*d^5*a^3*x","B"
2334,1,1041,539,0.049000," ","int((B*x+A)*(e*x+d)^4*(c*x^2+b*x+a)^3,x)","\frac{B \,c^{3} e^{4} x^{12}}{12}+\frac{\left(3 B b \,c^{2} e^{4}+\left(A \,e^{4}+4 B d \,e^{3}\right) c^{3}\right) x^{11}}{11}+\frac{\left(\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) B \,e^{4}+3 \left(A \,e^{4}+4 B d \,e^{3}\right) b \,c^{2}+\left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) c^{3}\right) x^{10}}{10}+A \,a^{3} d^{4} x +\frac{\left(\left(4 a b c +\left(2 a c +b^{2}\right) b \right) B \,e^{4}+3 \left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) b \,c^{2}+\left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) c^{3}+\left(A \,e^{4}+4 B d \,e^{3}\right) \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right)\right) x^{9}}{9}+\frac{\left(\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) B \,e^{4}+3 \left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) b \,c^{2}+\left(4 A \,d^{3} e +B \,d^{4}\right) c^{3}+\left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right)+\left(A \,e^{4}+4 B d \,e^{3}\right) \left(4 a b c +\left(2 a c +b^{2}\right) b \right)\right) x^{8}}{8}+\frac{\left(A \,c^{3} d^{4}+3 B \,a^{2} b \,e^{4}+3 \left(4 A \,d^{3} e +B \,d^{4}\right) b \,c^{2}+\left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right)+\left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) \left(4 a b c +\left(2 a c +b^{2}\right) b \right)+\left(A \,e^{4}+4 B d \,e^{3}\right) \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right)\right) x^{7}}{7}+\frac{\left(3 A b \,c^{2} d^{4}+B \,a^{3} e^{4}+3 \left(A \,e^{4}+4 B d \,e^{3}\right) a^{2} b +\left(4 A \,d^{3} e +B \,d^{4}\right) \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right)+\left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) \left(4 a b c +\left(2 a c +b^{2}\right) b \right)+\left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right)\right) x^{6}}{6}+\frac{\left(\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) A \,d^{4}+\left(A \,e^{4}+4 B d \,e^{3}\right) a^{3}+3 \left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) a^{2} b +\left(4 A \,d^{3} e +B \,d^{4}\right) \left(4 a b c +\left(2 a c +b^{2}\right) b \right)+\left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right)\right) x^{5}}{5}+\frac{\left(\left(4 a b c +\left(2 a c +b^{2}\right) b \right) A \,d^{4}+\left(4 A d \,e^{3}+6 B \,d^{2} e^{2}\right) a^{3}+3 \left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) a^{2} b +\left(4 A \,d^{3} e +B \,d^{4}\right) \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right)\right) x^{4}}{4}+\frac{\left(\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) A \,d^{4}+\left(6 A \,d^{2} e^{2}+4 B \,d^{3} e \right) a^{3}+3 \left(4 A \,d^{3} e +B \,d^{4}\right) a^{2} b \right) x^{3}}{3}+\frac{\left(3 A \,a^{2} b \,d^{4}+\left(4 A \,d^{3} e +B \,d^{4}\right) a^{3}\right) x^{2}}{2}"," ",0,"1/12*B*c^3*e^4*x^12+1/11*((A*e^4+4*B*d*e^3)*c^3+3*B*e^4*b*c^2)*x^11+1/10*((4*A*d*e^3+6*B*d^2*e^2)*c^3+3*(A*e^4+4*B*d*e^3)*b*c^2+B*e^4*(a*c^2+2*b^2*c+(2*a*c+b^2)*c))*x^10+1/9*((6*A*d^2*e^2+4*B*d^3*e)*c^3+3*(4*A*d*e^3+6*B*d^2*e^2)*b*c^2+(A*e^4+4*B*d*e^3)*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+B*e^4*(4*a*b*c+(2*a*c+b^2)*b))*x^9+1/8*((4*A*d^3*e+B*d^4)*c^3+3*(6*A*d^2*e^2+4*B*d^3*e)*b*c^2+(4*A*d*e^3+6*B*d^2*e^2)*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+(A*e^4+4*B*d*e^3)*(4*a*b*c+(2*a*c+b^2)*b)+B*e^4*(a^2*c+2*a*b^2+(2*a*c+b^2)*a))*x^8+1/7*(A*c^3*d^4+3*(4*A*d^3*e+B*d^4)*b*c^2+(6*A*d^2*e^2+4*B*d^3*e)*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+(4*A*d*e^3+6*B*d^2*e^2)*(4*a*b*c+(2*a*c+b^2)*b)+(A*e^4+4*B*d*e^3)*(a^2*c+2*a*b^2+(2*a*c+b^2)*a)+3*B*e^4*a^2*b)*x^7+1/6*(3*A*d^4*b*c^2+(4*A*d^3*e+B*d^4)*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+(6*A*d^2*e^2+4*B*d^3*e)*(4*a*b*c+(2*a*c+b^2)*b)+(4*A*d*e^3+6*B*d^2*e^2)*(a^2*c+2*a*b^2+(2*a*c+b^2)*a)+3*(A*e^4+4*B*d*e^3)*a^2*b+B*e^4*a^3)*x^6+1/5*(A*d^4*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+(4*A*d^3*e+B*d^4)*(4*a*b*c+(2*a*c+b^2)*b)+(6*A*d^2*e^2+4*B*d^3*e)*(a^2*c+2*a*b^2+(2*a*c+b^2)*a)+3*(4*A*d*e^3+6*B*d^2*e^2)*a^2*b+(A*e^4+4*B*d*e^3)*a^3)*x^5+1/4*(A*d^4*(4*a*b*c+(2*a*c+b^2)*b)+(4*A*d^3*e+B*d^4)*(a^2*c+2*a*b^2+(2*a*c+b^2)*a)+3*(6*A*d^2*e^2+4*B*d^3*e)*a^2*b+(4*A*d*e^3+6*B*d^2*e^2)*a^3)*x^4+1/3*(A*d^4*(a^2*c+2*a*b^2+(2*a*c+b^2)*a)+3*(4*A*d^3*e+B*d^4)*a^2*b+(6*A*d^2*e^2+4*B*d^3*e)*a^3)*x^3+1/2*(3*A*d^4*a^2*b+(4*A*d^3*e+B*d^4)*a^3)*x^2+A*d^4*a^3*x","A"
2335,1,819,539,0.043000," ","int((B*x+A)*(e*x+d)^3*(c*x^2+b*x+a)^3,x)","\frac{B \,c^{3} e^{3} x^{11}}{11}+\frac{\left(3 B b \,c^{2} e^{3}+\left(A \,e^{3}+3 B d \,e^{2}\right) c^{3}\right) x^{10}}{10}+\frac{\left(\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) B \,e^{3}+3 \left(A \,e^{3}+3 B d \,e^{2}\right) b \,c^{2}+\left(3 A d \,e^{2}+3 B \,d^{2} e \right) c^{3}\right) x^{9}}{9}+A \,a^{3} d^{3} x +\frac{\left(\left(4 a b c +\left(2 a c +b^{2}\right) b \right) B \,e^{3}+3 \left(3 A d \,e^{2}+3 B \,d^{2} e \right) b \,c^{2}+\left(3 A \,d^{2} e +B \,d^{3}\right) c^{3}+\left(A \,e^{3}+3 B d \,e^{2}\right) \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right)\right) x^{8}}{8}+\frac{\left(A \,c^{3} d^{3}+\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) B \,e^{3}+3 \left(3 A \,d^{2} e +B \,d^{3}\right) b \,c^{2}+\left(3 A d \,e^{2}+3 B \,d^{2} e \right) \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right)+\left(A \,e^{3}+3 B d \,e^{2}\right) \left(4 a b c +\left(2 a c +b^{2}\right) b \right)\right) x^{7}}{7}+\frac{\left(3 A b \,c^{2} d^{3}+3 B \,a^{2} b \,e^{3}+\left(3 A \,d^{2} e +B \,d^{3}\right) \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right)+\left(3 A d \,e^{2}+3 B \,d^{2} e \right) \left(4 a b c +\left(2 a c +b^{2}\right) b \right)+\left(A \,e^{3}+3 B d \,e^{2}\right) \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right)\right) x^{6}}{6}+\frac{\left(B \,a^{3} e^{3}+\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) A \,d^{3}+3 \left(A \,e^{3}+3 B d \,e^{2}\right) a^{2} b +\left(3 A \,d^{2} e +B \,d^{3}\right) \left(4 a b c +\left(2 a c +b^{2}\right) b \right)+\left(3 A d \,e^{2}+3 B \,d^{2} e \right) \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right)\right) x^{5}}{5}+\frac{\left(\left(4 a b c +\left(2 a c +b^{2}\right) b \right) A \,d^{3}+\left(A \,e^{3}+3 B d \,e^{2}\right) a^{3}+3 \left(3 A d \,e^{2}+3 B \,d^{2} e \right) a^{2} b +\left(3 A \,d^{2} e +B \,d^{3}\right) \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right)\right) x^{4}}{4}+\frac{\left(\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) A \,d^{3}+\left(3 A d \,e^{2}+3 B \,d^{2} e \right) a^{3}+3 \left(3 A \,d^{2} e +B \,d^{3}\right) a^{2} b \right) x^{3}}{3}+\frac{\left(3 A \,a^{2} b \,d^{3}+\left(3 A \,d^{2} e +B \,d^{3}\right) a^{3}\right) x^{2}}{2}"," ",0,"1/11*B*c^3*e^3*x^11+1/10*((A*e^3+3*B*d*e^2)*c^3+3*B*e^3*b*c^2)*x^10+1/9*((3*A*d*e^2+3*B*d^2*e)*c^3+3*(A*e^3+3*B*d*e^2)*b*c^2+B*e^3*(a*c^2+2*b^2*c+(2*a*c+b^2)*c))*x^9+1/8*((3*A*d^2*e+B*d^3)*c^3+3*(3*A*d*e^2+3*B*d^2*e)*b*c^2+(A*e^3+3*B*d*e^2)*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+B*e^3*(4*a*b*c+(2*a*c+b^2)*b))*x^8+1/7*(A*c^3*d^3+3*(3*A*d^2*e+B*d^3)*b*c^2+(3*A*d*e^2+3*B*d^2*e)*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+(A*e^3+3*B*d*e^2)*(4*a*b*c+(2*a*c+b^2)*b)+B*e^3*(a^2*c+2*a*b^2+(2*a*c+b^2)*a))*x^7+1/6*(3*A*d^3*b*c^2+(3*A*d^2*e+B*d^3)*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+(3*A*d*e^2+3*B*d^2*e)*(4*a*b*c+(2*a*c+b^2)*b)+(A*e^3+3*B*d*e^2)*(a^2*c+2*a*b^2+(2*a*c+b^2)*a)+3*B*e^3*a^2*b)*x^6+1/5*(A*d^3*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+(3*A*d^2*e+B*d^3)*(4*a*b*c+(2*a*c+b^2)*b)+(3*A*d*e^2+3*B*d^2*e)*(a^2*c+2*a*b^2+(2*a*c+b^2)*a)+3*(A*e^3+3*B*d*e^2)*a^2*b+B*a^3*e^3)*x^5+1/4*(A*d^3*(4*a*b*c+(2*a*c+b^2)*b)+(3*A*d^2*e+B*d^3)*(a^2*c+2*a*b^2+(2*a*c+b^2)*a)+3*(3*A*d*e^2+3*B*d^2*e)*a^2*b+(A*e^3+3*B*d*e^2)*a^3)*x^4+1/3*(A*d^3*(a^2*c+2*a*b^2+(2*a*c+b^2)*a)+3*(3*A*d^2*e+B*d^3)*a^2*b+(3*A*d*e^2+3*B*d^2*e)*a^3)*x^3+1/2*(3*A*d^3*a^2*b+(3*A*d^2*e+B*d^3)*a^3)*x^2+A*d^3*a^3*x","A"
2336,1,597,539,0.046000," ","int((B*x+A)*(e*x+d)^2*(c*x^2+b*x+a)^3,x)","\frac{B \,c^{3} e^{2} x^{10}}{10}+\frac{\left(3 B b \,c^{2} e^{2}+\left(A \,e^{2}+2 B d e \right) c^{3}\right) x^{9}}{9}+\frac{\left(\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) B \,e^{2}+3 \left(A \,e^{2}+2 B d e \right) b \,c^{2}+\left(2 A d e +B \,d^{2}\right) c^{3}\right) x^{8}}{8}+A \,a^{3} d^{2} x +\frac{\left(A \,c^{3} d^{2}+\left(4 a b c +\left(2 a c +b^{2}\right) b \right) B \,e^{2}+3 \left(2 A d e +B \,d^{2}\right) b \,c^{2}+\left(A \,e^{2}+2 B d e \right) \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right)\right) x^{7}}{7}+\frac{\left(3 A b \,c^{2} d^{2}+\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) B \,e^{2}+\left(2 A d e +B \,d^{2}\right) \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right)+\left(A \,e^{2}+2 B d e \right) \left(4 a b c +\left(2 a c +b^{2}\right) b \right)\right) x^{6}}{6}+\frac{\left(3 B \,a^{2} b \,e^{2}+\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) A \,d^{2}+\left(2 A d e +B \,d^{2}\right) \left(4 a b c +\left(2 a c +b^{2}\right) b \right)+\left(A \,e^{2}+2 B d e \right) \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right)\right) x^{5}}{5}+\frac{\left(B \,a^{3} e^{2}+\left(4 a b c +\left(2 a c +b^{2}\right) b \right) A \,d^{2}+3 \left(A \,e^{2}+2 B d e \right) a^{2} b +\left(2 A d e +B \,d^{2}\right) \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right)\right) x^{4}}{4}+\frac{\left(\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) A \,d^{2}+\left(A \,e^{2}+2 B d e \right) a^{3}+3 \left(2 A d e +B \,d^{2}\right) a^{2} b \right) x^{3}}{3}+\frac{\left(3 A \,a^{2} b \,d^{2}+\left(2 A d e +B \,d^{2}\right) a^{3}\right) x^{2}}{2}"," ",0,"1/10*B*c^3*e^2*x^10+1/9*(3*B*b*c^2*e^2+(A*e^2+2*B*d*e)*c^3)*x^9+1/8*((2*A*d*e+B*d^2)*c^3+3*(A*e^2+2*B*d*e)*b*c^2+B*e^2*(a*c^2+2*b^2*c+(2*a*c+b^2)*c))*x^8+1/7*(A*c^3*d^2+3*(2*A*d*e+B*d^2)*b*c^2+(A*e^2+2*B*d*e)*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+B*e^2*(4*a*b*c+(2*a*c+b^2)*b))*x^7+1/6*(3*A*b*c^2*d^2+(2*A*d*e+B*d^2)*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+(A*e^2+2*B*d*e)*(4*a*b*c+(2*a*c+b^2)*b)+B*e^2*(a^2*c+2*a*b^2+(2*a*c+b^2)*a))*x^6+1/5*(A*d^2*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+(2*A*d*e+B*d^2)*(4*a*b*c+(2*a*c+b^2)*b)+(A*e^2+2*B*d*e)*(a^2*c+2*a*b^2+(2*a*c+b^2)*a)+3*B*e^2*a^2*b)*x^5+1/4*(A*d^2*(4*a*b*c+(2*a*c+b^2)*b)+(2*A*d*e+B*d^2)*(a^2*c+2*a*b^2+(2*a*c+b^2)*a)+3*(A*e^2+2*B*d*e)*a^2*b+B*e^2*a^3)*x^4+1/3*(A*d^2*(a^2*c+2*a*b^2+(2*a*c+b^2)*a)+3*(2*A*d*e+B*d^2)*a^2*b+(A*e^2+2*B*d*e)*a^3)*x^3+1/2*(3*A*d^2*a^2*b+(2*A*d*e+B*d^2)*a^3)*x^2+A*d^2*a^3*x","A"
2337,1,375,294,0.039000," ","int((B*x+A)*(e*x+d)*(c*x^2+b*x+a)^3,x)","\frac{B \,c^{3} e \,x^{9}}{9}+\frac{\left(3 B b \,c^{2} e +\left(A e +B d \right) c^{3}\right) x^{8}}{8}+\frac{\left(A \,c^{3} d +3 \left(A e +B d \right) b \,c^{2}+\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) B e \right) x^{7}}{7}+A \,a^{3} d x +\frac{\left(3 A b \,c^{2} d +\left(4 a b c +\left(2 a c +b^{2}\right) b \right) B e +\left(A e +B d \right) \left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right)\right) x^{6}}{6}+\frac{\left(\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) A d +\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) B e +\left(A e +B d \right) \left(4 a b c +\left(2 a c +b^{2}\right) b \right)\right) x^{5}}{5}+\frac{\left(3 B \,a^{2} b e +\left(4 a b c +\left(2 a c +b^{2}\right) b \right) A d +\left(A e +B d \right) \left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right)\right) x^{4}}{4}+\frac{\left(B \,a^{3} e +3 \left(A e +B d \right) a^{2} b +\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) A d \right) x^{3}}{3}+\frac{\left(3 A \,a^{2} b d +\left(A e +B d \right) a^{3}\right) x^{2}}{2}"," ",0,"1/9*B*c^3*e*x^9+1/8*((A*e+B*d)*c^3+3*B*e*b*c^2)*x^8+1/7*(A*d*c^3+3*(A*e+B*d)*b*c^2+B*e*(a*c^2+2*b^2*c+(2*a*c+b^2)*c))*x^7+1/6*(3*A*d*b*c^2+(A*e+B*d)*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+B*e*(4*a*b*c+(2*a*c+b^2)*b))*x^6+1/5*(A*d*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+(A*e+B*d)*(4*a*b*c+(2*a*c+b^2)*b)+B*e*(a^2*c+2*a*b^2+(2*a*c+b^2)*a))*x^5+1/4*(A*d*(4*a*b*c+(2*a*c+b^2)*b)+(A*e+B*d)*(a^2*c+2*a*b^2+(2*a*c+b^2)*a)+3*B*e*a^2*b)*x^4+1/3*(A*d*(a^2*c+2*a*b^2+(2*a*c+b^2)*a)+3*(A*e+B*d)*a^2*b+B*e*a^3)*x^3+1/2*(3*A*d*a^2*b+(A*e+B*d)*a^3)*x^2+A*a^3*d*x","A"
2338,1,223,146,0.037000," ","int((B*x+A)*(c*x^2+b*x+a)^3,x)","\frac{B \,c^{3} x^{8}}{8}+\frac{\left(A \,c^{3}+3 B b \,c^{2}\right) x^{7}}{7}+\frac{\left(3 A b \,c^{2}+\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) B \right) x^{6}}{6}+A \,a^{3} x +\frac{\left(\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) A +\left(4 a b c +\left(2 a c +b^{2}\right) b \right) B \right) x^{5}}{5}+\frac{\left(\left(4 a b c +\left(2 a c +b^{2}\right) b \right) A +\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) B \right) x^{4}}{4}+\frac{\left(3 B \,a^{2} b +\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) A \right) x^{3}}{3}+\frac{\left(3 A \,a^{2} b +B \,a^{3}\right) x^{2}}{2}"," ",0,"1/8*B*c^3*x^8+1/7*(A*c^3+3*B*b*c^2)*x^7+1/6*(3*A*b*c^2+B*(a*c^2+2*b^2*c+(2*a*c+b^2)*c))*x^6+1/5*(A*(a*c^2+2*b^2*c+(2*a*c+b^2)*c)+B*(4*a*b*c+(2*a*c+b^2)*b))*x^5+1/4*(A*(4*a*b*c+(2*a*c+b^2)*b)+B*(a^2*c+2*a*b^2+(2*a*c+b^2)*a))*x^4+1/3*(A*(a^2*c+2*a*b^2+(2*a*c+b^2)*a)+3*B*a^2*b)*x^3+1/2*(3*A*a^2*b+B*a^3)*x^2+A*a^3*x","A"
2339,1,1319,532,0.049000," ","int((B*x+A)*(c*x^2+b*x+a)^3/(e*x+d),x)","\frac{B \,c^{3} x^{7}}{7 e}+\frac{A \,c^{3} x^{6}}{6 e}+\frac{B b \,c^{2} x^{6}}{2 e}-\frac{B \,c^{3} d \,x^{6}}{6 e^{2}}+\frac{3 A b \,c^{2} x^{5}}{5 e}-\frac{A \,c^{3} d \,x^{5}}{5 e^{2}}+\frac{3 B a \,c^{2} x^{5}}{5 e}+\frac{3 B \,b^{2} c \,x^{5}}{5 e}-\frac{3 B b \,c^{2} d \,x^{5}}{5 e^{2}}+\frac{B \,c^{3} d^{2} x^{5}}{5 e^{3}}+\frac{3 A a \,c^{2} x^{4}}{4 e}+\frac{3 A \,b^{2} c \,x^{4}}{4 e}-\frac{3 A b \,c^{2} d \,x^{4}}{4 e^{2}}+\frac{A \,c^{3} d^{2} x^{4}}{4 e^{3}}+\frac{3 B a b c \,x^{4}}{2 e}-\frac{3 B a \,c^{2} d \,x^{4}}{4 e^{2}}+\frac{B \,b^{3} x^{4}}{4 e}-\frac{3 B \,b^{2} c d \,x^{4}}{4 e^{2}}+\frac{3 B b \,c^{2} d^{2} x^{4}}{4 e^{3}}-\frac{B \,c^{3} d^{3} x^{4}}{4 e^{4}}+\frac{2 A a b c \,x^{3}}{e}-\frac{A a \,c^{2} d \,x^{3}}{e^{2}}+\frac{A \,b^{3} x^{3}}{3 e}-\frac{A \,b^{2} c d \,x^{3}}{e^{2}}+\frac{A b \,c^{2} d^{2} x^{3}}{e^{3}}-\frac{A \,c^{3} d^{3} x^{3}}{3 e^{4}}+\frac{B \,a^{2} c \,x^{3}}{e}+\frac{B a \,b^{2} x^{3}}{e}-\frac{2 B a b c d \,x^{3}}{e^{2}}+\frac{B a \,c^{2} d^{2} x^{3}}{e^{3}}-\frac{B \,b^{3} d \,x^{3}}{3 e^{2}}+\frac{B \,b^{2} c \,d^{2} x^{3}}{e^{3}}-\frac{B b \,c^{2} d^{3} x^{3}}{e^{4}}+\frac{B \,c^{3} d^{4} x^{3}}{3 e^{5}}+\frac{3 A \,a^{2} c \,x^{2}}{2 e}+\frac{3 A a \,b^{2} x^{2}}{2 e}-\frac{3 A a b c d \,x^{2}}{e^{2}}+\frac{3 A a \,c^{2} d^{2} x^{2}}{2 e^{3}}-\frac{A \,b^{3} d \,x^{2}}{2 e^{2}}+\frac{3 A \,b^{2} c \,d^{2} x^{2}}{2 e^{3}}-\frac{3 A b \,c^{2} d^{3} x^{2}}{2 e^{4}}+\frac{A \,c^{3} d^{4} x^{2}}{2 e^{5}}+\frac{3 B \,a^{2} b \,x^{2}}{2 e}-\frac{3 B \,a^{2} c d \,x^{2}}{2 e^{2}}-\frac{3 B a \,b^{2} d \,x^{2}}{2 e^{2}}+\frac{3 B a b c \,d^{2} x^{2}}{e^{3}}-\frac{3 B a \,c^{2} d^{3} x^{2}}{2 e^{4}}+\frac{B \,b^{3} d^{2} x^{2}}{2 e^{3}}-\frac{3 B \,b^{2} c \,d^{3} x^{2}}{2 e^{4}}+\frac{3 B b \,c^{2} d^{4} x^{2}}{2 e^{5}}-\frac{B \,c^{3} d^{5} x^{2}}{2 e^{6}}+\frac{A \,a^{3} \ln \left(e x +d \right)}{e}-\frac{3 A \,a^{2} b d \ln \left(e x +d \right)}{e^{2}}+\frac{3 A \,a^{2} b x}{e}+\frac{3 A \,a^{2} c \,d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{3 A \,a^{2} c d x}{e^{2}}+\frac{3 A a \,b^{2} d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{3 A a \,b^{2} d x}{e^{2}}-\frac{6 A a b c \,d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{6 A a b c \,d^{2} x}{e^{3}}+\frac{3 A a \,c^{2} d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{3 A a \,c^{2} d^{3} x}{e^{4}}-\frac{A \,b^{3} d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{A \,b^{3} d^{2} x}{e^{3}}+\frac{3 A \,b^{2} c \,d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{3 A \,b^{2} c \,d^{3} x}{e^{4}}-\frac{3 A b \,c^{2} d^{5} \ln \left(e x +d \right)}{e^{6}}+\frac{3 A b \,c^{2} d^{4} x}{e^{5}}+\frac{A \,c^{3} d^{6} \ln \left(e x +d \right)}{e^{7}}-\frac{A \,c^{3} d^{5} x}{e^{6}}-\frac{B \,a^{3} d \ln \left(e x +d \right)}{e^{2}}+\frac{B \,a^{3} x}{e}+\frac{3 B \,a^{2} b \,d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{3 B \,a^{2} b d x}{e^{2}}-\frac{3 B \,a^{2} c \,d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{3 B \,a^{2} c \,d^{2} x}{e^{3}}-\frac{3 B a \,b^{2} d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{3 B a \,b^{2} d^{2} x}{e^{3}}+\frac{6 B a b c \,d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{6 B a b c \,d^{3} x}{e^{4}}-\frac{3 B a \,c^{2} d^{5} \ln \left(e x +d \right)}{e^{6}}+\frac{3 B a \,c^{2} d^{4} x}{e^{5}}+\frac{B \,b^{3} d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{B \,b^{3} d^{3} x}{e^{4}}-\frac{3 B \,b^{2} c \,d^{5} \ln \left(e x +d \right)}{e^{6}}+\frac{3 B \,b^{2} c \,d^{4} x}{e^{5}}+\frac{3 B b \,c^{2} d^{6} \ln \left(e x +d \right)}{e^{7}}-\frac{3 B b \,c^{2} d^{5} x}{e^{6}}-\frac{B \,c^{3} d^{7} \ln \left(e x +d \right)}{e^{8}}+\frac{B \,c^{3} d^{6} x}{e^{7}}"," ",0,"1/6/e*A*x^6*c^3+1/e*B*x*a^3+1/3/e*A*x^3*b^3+1/e*ln(e*x+d)*A*a^3+1/4/e*B*x^4*b^3-1/e^8*ln(e*x+d)*B*c^3*d^7+1/e^7*B*x*c^3*d^6-1/e^4*B*x*b^3*d^3-2/e^2*B*x^3*a*b*c*d+6/e^3*A*x*a*b*c*d^2-6/e^4*B*x*a*b*c*d^3+6/e^5*ln(e*x+d)*B*a*b*c*d^4-1/2/e^6*B*x^2*c^3*d^5-1/6/e^2*B*x^6*c^3*d+3/2/e*A*x^2*a*b^2+1/2/e^3*B*x^2*b^3*d^2-1/5/e^2*A*x^5*c^3*d+3/5/e*B*x^5*a*c^2+3/5/e*B*x^5*b^2*c+1/2/e^5*A*x^2*c^3*d^4+1/e^3*A*x*b^3*d^2-1/e^6*A*x*c^3*d^5+3/e*A*x*a^2*b-1/3/e^4*A*x^3*c^3*d^3-1/3/e^2*B*x^3*b^3*d+1/3/e^5*B*x^3*c^3*d^4+1/e*B*x^3*a^2*c+1/e*B*x^3*a*b^2+1/e^7*ln(e*x+d)*A*c^3*d^6-1/e^2*ln(e*x+d)*B*a^3*d+1/e^5*ln(e*x+d)*B*b^3*d^4+1/5/e^3*B*x^5*c^3*d^2+3/4/e*A*x^4*a*c^2+1/2/e*B*x^6*b*c^2-1/4/e^4*B*x^4*c^3*d^3+3/5/e*A*x^5*b*c^2-1/e^4*ln(e*x+d)*A*b^3*d^3+3/2/e*A*x^2*a^2*c+3/e^3*B*x^2*a*b*c*d^2-3/e^2*A*x^2*a*b*c*d+3/4/e*A*x^4*b^2*c+1/4/e^3*A*x^4*c^3*d^2-1/2/e^2*A*x^2*b^3*d+3/2/e*B*x^2*a^2*b-6/e^4*ln(e*x+d)*A*a*b*c*d^3+1/7*B*c^3/e*x^7-1/e^2*A*x^3*b^2*c*d-3/5/e^2*B*x^5*b*c^2*d-3/e^6*B*x*b*c^2*d^5+3/e^5*B*x*b^2*c*d^4+3/e^5*B*x*a*c^2*d^4+3/e^3*B*x*a*b^2*d^2-3/4/e^2*B*x^4*b^2*c*d-3/e^4*A*x*a*c^2*d^3-3/e^2*A*x*a^2*c*d-3/4/e^2*B*x^4*a*c^2*d+1/e^3*A*x^3*b*c^2*d^2+1/e^3*B*x^3*a*c^2*d^2+1/e^3*B*x^3*b^2*c*d^2-3/e^2*B*x*a^2*b*d+3/e^3*B*x*a^2*c*d^2-3/e^2*A*x*a*b^2*d+3/e^3*ln(e*x+d)*B*a^2*b*d^2-3/e^4*ln(e*x+d)*B*d^3*a^2*c-3/e^4*ln(e*x+d)*B*a*b^2*d^3-3/e^6*ln(e*x+d)*B*a*c^2*d^5-3/e^6*ln(e*x+d)*B*b^2*c*d^5+3/e^7*ln(e*x+d)*B*b*c^2*d^6-3/e^2*ln(e*x+d)*A*a^2*b*d+3/e^3*ln(e*x+d)*A*d^2*a^2*c+3/e^3*ln(e*x+d)*A*a*b^2*d^2-3/2/e^2*B*x^2*a^2*c*d+3/e^5*ln(e*x+d)*A*a*c^2*d^4-3/2/e^4*B*x^2*b^2*c*d^3+3/2/e^5*B*x^2*b*c^2*d^4+2/e*A*x^3*a*b*c-1/e^2*A*x^3*a*c^2*d-3/2/e^4*A*x^2*b*c^2*d^3-1/e^4*B*x^3*b*c^2*d^3+3/2/e^3*A*x^2*a*c^2*d^2+3/2/e^3*A*x^2*b^2*c*d^2+3/4/e^3*B*x^4*b*c^2*d^2-3/4/e^2*A*x^4*b*c^2*d+3/2/e*B*x^4*a*b*c-3/e^4*A*x*b^2*c*d^3+3/e^5*A*x*b*c^2*d^4-3/2/e^2*B*x^2*a*b^2*d-3/2/e^4*B*x^2*a*c^2*d^3+3/e^5*ln(e*x+d)*A*b^2*c*d^4-3/e^6*ln(e*x+d)*A*b*c^2*d^5","B"
2340,1,1404,515,0.059000," ","int((B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^2,x)","\frac{B \,c^{3} x^{6}}{6 e^{2}}+\frac{A \,c^{3} x^{5}}{5 e^{2}}+\frac{3 B b \,c^{2} x^{5}}{5 e^{2}}-\frac{2 B \,c^{3} d \,x^{5}}{5 e^{3}}+\frac{3 A b \,c^{2} x^{4}}{4 e^{2}}-\frac{A \,c^{3} d \,x^{4}}{2 e^{3}}+\frac{3 B a \,c^{2} x^{4}}{4 e^{2}}+\frac{3 B \,b^{2} c \,x^{4}}{4 e^{2}}-\frac{3 B b \,c^{2} d \,x^{4}}{2 e^{3}}+\frac{3 B \,c^{3} d^{2} x^{4}}{4 e^{4}}+\frac{A a \,c^{2} x^{3}}{e^{2}}+\frac{A \,b^{2} c \,x^{3}}{e^{2}}-\frac{2 A b \,c^{2} d \,x^{3}}{e^{3}}+\frac{A \,c^{3} d^{2} x^{3}}{e^{4}}+\frac{2 B a b c \,x^{3}}{e^{2}}-\frac{2 B a \,c^{2} d \,x^{3}}{e^{3}}+\frac{B \,b^{3} x^{3}}{3 e^{2}}-\frac{2 B \,b^{2} c d \,x^{3}}{e^{3}}+\frac{3 B b \,c^{2} d^{2} x^{3}}{e^{4}}-\frac{4 B \,c^{3} d^{3} x^{3}}{3 e^{5}}+\frac{3 A a b c \,x^{2}}{e^{2}}-\frac{3 A a \,c^{2} d \,x^{2}}{e^{3}}+\frac{A \,b^{3} x^{2}}{2 e^{2}}-\frac{3 A \,b^{2} c d \,x^{2}}{e^{3}}+\frac{9 A b \,c^{2} d^{2} x^{2}}{2 e^{4}}-\frac{2 A \,c^{3} d^{3} x^{2}}{e^{5}}+\frac{3 B \,a^{2} c \,x^{2}}{2 e^{2}}+\frac{3 B a \,b^{2} x^{2}}{2 e^{2}}-\frac{6 B a b c d \,x^{2}}{e^{3}}+\frac{9 B a \,c^{2} d^{2} x^{2}}{2 e^{4}}-\frac{B \,b^{3} d \,x^{2}}{e^{3}}+\frac{9 B \,b^{2} c \,d^{2} x^{2}}{2 e^{4}}-\frac{6 B b \,c^{2} d^{3} x^{2}}{e^{5}}+\frac{5 B \,c^{3} d^{4} x^{2}}{2 e^{6}}-\frac{A \,a^{3}}{\left(e x +d \right) e}+\frac{3 A \,a^{2} b d}{\left(e x +d \right) e^{2}}+\frac{3 A \,a^{2} b \ln \left(e x +d \right)}{e^{2}}-\frac{3 A \,a^{2} c \,d^{2}}{\left(e x +d \right) e^{3}}-\frac{6 A \,a^{2} c d \ln \left(e x +d \right)}{e^{3}}+\frac{3 A \,a^{2} c x}{e^{2}}-\frac{3 A a \,b^{2} d^{2}}{\left(e x +d \right) e^{3}}-\frac{6 A a \,b^{2} d \ln \left(e x +d \right)}{e^{3}}+\frac{3 A a \,b^{2} x}{e^{2}}+\frac{6 A a b c \,d^{3}}{\left(e x +d \right) e^{4}}+\frac{18 A a b c \,d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{12 A a b c d x}{e^{3}}-\frac{3 A a \,c^{2} d^{4}}{\left(e x +d \right) e^{5}}-\frac{12 A a \,c^{2} d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{9 A a \,c^{2} d^{2} x}{e^{4}}+\frac{A \,b^{3} d^{3}}{\left(e x +d \right) e^{4}}+\frac{3 A \,b^{3} d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{2 A \,b^{3} d x}{e^{3}}-\frac{3 A \,b^{2} c \,d^{4}}{\left(e x +d \right) e^{5}}-\frac{12 A \,b^{2} c \,d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{9 A \,b^{2} c \,d^{2} x}{e^{4}}+\frac{3 A b \,c^{2} d^{5}}{\left(e x +d \right) e^{6}}+\frac{15 A b \,c^{2} d^{4} \ln \left(e x +d \right)}{e^{6}}-\frac{12 A b \,c^{2} d^{3} x}{e^{5}}-\frac{A \,c^{3} d^{6}}{\left(e x +d \right) e^{7}}-\frac{6 A \,c^{3} d^{5} \ln \left(e x +d \right)}{e^{7}}+\frac{5 A \,c^{3} d^{4} x}{e^{6}}+\frac{B \,a^{3} d}{\left(e x +d \right) e^{2}}+\frac{B \,a^{3} \ln \left(e x +d \right)}{e^{2}}-\frac{3 B \,a^{2} b \,d^{2}}{\left(e x +d \right) e^{3}}-\frac{6 B \,a^{2} b d \ln \left(e x +d \right)}{e^{3}}+\frac{3 B \,a^{2} b x}{e^{2}}+\frac{3 B \,a^{2} c \,d^{3}}{\left(e x +d \right) e^{4}}+\frac{9 B \,a^{2} c \,d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{6 B \,a^{2} c d x}{e^{3}}+\frac{3 B a \,b^{2} d^{3}}{\left(e x +d \right) e^{4}}+\frac{9 B a \,b^{2} d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{6 B a \,b^{2} d x}{e^{3}}-\frac{6 B a b c \,d^{4}}{\left(e x +d \right) e^{5}}-\frac{24 B a b c \,d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{18 B a b c \,d^{2} x}{e^{4}}+\frac{3 B a \,c^{2} d^{5}}{\left(e x +d \right) e^{6}}+\frac{15 B a \,c^{2} d^{4} \ln \left(e x +d \right)}{e^{6}}-\frac{12 B a \,c^{2} d^{3} x}{e^{5}}-\frac{B \,b^{3} d^{4}}{\left(e x +d \right) e^{5}}-\frac{4 B \,b^{3} d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{3 B \,b^{3} d^{2} x}{e^{4}}+\frac{3 B \,b^{2} c \,d^{5}}{\left(e x +d \right) e^{6}}+\frac{15 B \,b^{2} c \,d^{4} \ln \left(e x +d \right)}{e^{6}}-\frac{12 B \,b^{2} c \,d^{3} x}{e^{5}}-\frac{3 B b \,c^{2} d^{6}}{\left(e x +d \right) e^{7}}-\frac{18 B b \,c^{2} d^{5} \ln \left(e x +d \right)}{e^{7}}+\frac{15 B b \,c^{2} d^{4} x}{e^{6}}+\frac{B \,c^{3} d^{7}}{\left(e x +d \right) e^{8}}+\frac{7 B \,c^{3} d^{6} \ln \left(e x +d \right)}{e^{8}}-\frac{6 B \,c^{3} d^{5} x}{e^{7}}"," ",0,"-1/e/(e*x+d)*A*a^3+1/e^2*ln(e*x+d)*B*a^3+1/2/e^2*A*x^2*b^3+1/3/e^2*B*x^3*b^3+1/5/e^2*A*x^5*c^3-4/e^5*ln(e*x+d)*B*b^3*d^3+7/e^8*ln(e*x+d)*B*c^3*d^6-2/e^3*A*b^3*d*x+5/e^6*A*c^3*d^4*x-2/5/e^3*B*x^5*c^3*d+3/4/e^2*A*x^4*b*c^2-1/2/e^3*A*x^4*c^3*d+3/4/e^2*B*x^4*a*c^2+3/4/e^2*B*x^4*b^2*c+1/e^4/(e*x+d)*A*b^3*d^3-1/e^7/(e*x+d)*A*c^3*d^6+1/e^2/(e*x+d)*B*a^3*d-1/e^5/(e*x+d)*B*b^3*d^4+1/e^8/(e*x+d)*B*c^3*d^7+3/e^2*ln(e*x+d)*A*a^2*b+1/e^4*A*x^3*c^3*d^2-6/e^7*B*c^3*d^5*x+3/e^2*B*a^2*b*x+3/e^4*B*b^3*d^2*x+3/5/e^2*B*x^5*b*c^2+3/4/e^4*B*x^4*c^3*d^2-4/3/e^5*B*x^3*c^3*d^3-2/e^5*A*x^2*c^3*d^3+3/e^4*ln(e*x+d)*A*b^3*d^2-6/e^7*ln(e*x+d)*A*c^3*d^5+3/2/e^2*B*x^2*a^2*c+3/2/e^2*B*x^2*a*b^2-1/e^3*B*x^2*b^3*d+5/2/e^6*B*x^2*c^3*d^4+3/e^2*A*a^2*c*x+3/e^2*A*a*b^2*x+1/e^2*A*x^3*a*c^2+1/e^2*A*x^3*b^2*c+1/6*B*c^3/e^2*x^6+6/e^4/(e*x+d)*A*a*b*c*d^3-6/e^5/(e*x+d)*B*a*b*c*d^4+18/e^4*ln(e*x+d)*A*a*b*c*d^2-24/e^5*ln(e*x+d)*B*a*b*c*d^3-6/e^3*B*x^2*a*b*c*d-12/e^3*A*a*b*c*d*x+18/e^4*B*a*b*c*d^2*x-2/e^3*A*x^3*b*c^2*d+2/e^2*B*x^3*a*b*c-2/e^3*B*x^3*a*c^2*d-2/e^3*B*x^3*b^2*c*d-6/e^3*B*a^2*c*d*x+3/e^2*A*x^2*a*b*c-3/e^3*A*x^2*a*c^2*d-3/e^3*A*x^2*b^2*c*d+9/2/e^4*A*x^2*b*c^2*d^2+3/e^4*B*x^3*b*c^2*d^2+9/e^4*A*b^2*c*d^2*x-12/e^5*A*b*c^2*d^3*x+9/2/e^4*B*x^2*a*c^2*d^2+9/2/e^4*B*x^2*b^2*c*d^2-6/e^5*B*x^2*b*c^2*d^3+15/e^6*B*b*c^2*d^4*x-12/e^5*B*a*c^2*d^3*x-6/e^3*B*a*b^2*d*x+3/e^2/(e*x+d)*A*d*a^2*b-3/e^3/(e*x+d)*A*d^2*a^2*c-3/e^3/(e*x+d)*A*a*b^2*d^2-3/e^5/(e*x+d)*A*a*c^2*d^4-3/e^5/(e*x+d)*A*b^2*c*d^4+3/e^6/(e*x+d)*A*b*c^2*d^5-3/e^3/(e*x+d)*B*a^2*b*d^2+3/e^4/(e*x+d)*B*d^3*a^2*c+3/e^4/(e*x+d)*B*a*b^2*d^3+3/e^6/(e*x+d)*B*a*c^2*d^5+3/e^6/(e*x+d)*B*b^2*c*d^5-3/e^7/(e*x+d)*B*b*c^2*d^6-3/2/e^3*B*x^4*b*c^2*d-12/e^5*B*b^2*c*d^3*x+15/e^6*ln(e*x+d)*A*b*c^2*d^4-6/e^3*ln(e*x+d)*B*a^2*b*d+9/e^4*ln(e*x+d)*B*a^2*c*d^2+9/e^4*ln(e*x+d)*B*a*b^2*d^2+15/e^6*ln(e*x+d)*B*d^4*a*c^2+15/e^6*ln(e*x+d)*B*b^2*c*d^4-18/e^7*ln(e*x+d)*B*b*c^2*d^5+9/e^4*A*a*c^2*d^2*x-6/e^3*ln(e*x+d)*A*a^2*c*d-6/e^3*ln(e*x+d)*A*a*b^2*d-12/e^5*ln(e*x+d)*A*d^3*a*c^2-12/e^5*ln(e*x+d)*A*b^2*c*d^3","B"
2341,1,1483,523,0.061000," ","int((B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^3,x)","\frac{B \,c^{3} x^{5}}{5 e^{3}}+\frac{A \,c^{3} x^{4}}{4 e^{3}}+\frac{3 B b \,c^{2} x^{4}}{4 e^{3}}-\frac{3 B \,c^{3} d \,x^{4}}{4 e^{4}}+\frac{A b \,c^{2} x^{3}}{e^{3}}-\frac{A \,c^{3} d \,x^{3}}{e^{4}}+\frac{B a \,c^{2} x^{3}}{e^{3}}+\frac{B \,b^{2} c \,x^{3}}{e^{3}}-\frac{3 B b \,c^{2} d \,x^{3}}{e^{4}}+\frac{2 B \,c^{3} d^{2} x^{3}}{e^{5}}-\frac{A \,a^{3}}{2 \left(e x +d \right)^{2} e}+\frac{3 A \,a^{2} b d}{2 \left(e x +d \right)^{2} e^{2}}-\frac{3 A \,a^{2} c \,d^{2}}{2 \left(e x +d \right)^{2} e^{3}}-\frac{3 A a \,b^{2} d^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{3 A a b c \,d^{3}}{\left(e x +d \right)^{2} e^{4}}-\frac{3 A a \,c^{2} d^{4}}{2 \left(e x +d \right)^{2} e^{5}}+\frac{3 A a \,c^{2} x^{2}}{2 e^{3}}+\frac{A \,b^{3} d^{3}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{3 A \,b^{2} c \,d^{4}}{2 \left(e x +d \right)^{2} e^{5}}+\frac{3 A \,b^{2} c \,x^{2}}{2 e^{3}}+\frac{3 A b \,c^{2} d^{5}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{9 A b \,c^{2} d \,x^{2}}{2 e^{4}}-\frac{A \,c^{3} d^{6}}{2 \left(e x +d \right)^{2} e^{7}}+\frac{3 A \,c^{3} d^{2} x^{2}}{e^{5}}+\frac{B \,a^{3} d}{2 \left(e x +d \right)^{2} e^{2}}-\frac{3 B \,a^{2} b \,d^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{3 B \,a^{2} c \,d^{3}}{2 \left(e x +d \right)^{2} e^{4}}+\frac{3 B a \,b^{2} d^{3}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{3 B a b c \,d^{4}}{\left(e x +d \right)^{2} e^{5}}+\frac{3 B a b c \,x^{2}}{e^{3}}+\frac{3 B a \,c^{2} d^{5}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{9 B a \,c^{2} d \,x^{2}}{2 e^{4}}-\frac{B \,b^{3} d^{4}}{2 \left(e x +d \right)^{2} e^{5}}+\frac{B \,b^{3} x^{2}}{2 e^{3}}+\frac{3 B \,b^{2} c \,d^{5}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{9 B \,b^{2} c d \,x^{2}}{2 e^{4}}-\frac{3 B b \,c^{2} d^{6}}{2 \left(e x +d \right)^{2} e^{7}}+\frac{9 B b \,c^{2} d^{2} x^{2}}{e^{5}}+\frac{B \,c^{3} d^{7}}{2 \left(e x +d \right)^{2} e^{8}}-\frac{5 B \,c^{3} d^{3} x^{2}}{e^{6}}-\frac{3 A \,a^{2} b}{\left(e x +d \right) e^{2}}+\frac{6 A \,a^{2} c d}{\left(e x +d \right) e^{3}}+\frac{3 A \,a^{2} c \ln \left(e x +d \right)}{e^{3}}+\frac{6 A a \,b^{2} d}{\left(e x +d \right) e^{3}}+\frac{3 A a \,b^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{18 A a b c \,d^{2}}{\left(e x +d \right) e^{4}}-\frac{18 A a b c d \ln \left(e x +d \right)}{e^{4}}+\frac{6 A a b c x}{e^{3}}+\frac{12 A a \,c^{2} d^{3}}{\left(e x +d \right) e^{5}}+\frac{18 A a \,c^{2} d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{9 A a \,c^{2} d x}{e^{4}}-\frac{3 A \,b^{3} d^{2}}{\left(e x +d \right) e^{4}}-\frac{3 A \,b^{3} d \ln \left(e x +d \right)}{e^{4}}+\frac{A \,b^{3} x}{e^{3}}+\frac{12 A \,b^{2} c \,d^{3}}{\left(e x +d \right) e^{5}}+\frac{18 A \,b^{2} c \,d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{9 A \,b^{2} c d x}{e^{4}}-\frac{15 A b \,c^{2} d^{4}}{\left(e x +d \right) e^{6}}-\frac{30 A b \,c^{2} d^{3} \ln \left(e x +d \right)}{e^{6}}+\frac{18 A b \,c^{2} d^{2} x}{e^{5}}+\frac{6 A \,c^{3} d^{5}}{\left(e x +d \right) e^{7}}+\frac{15 A \,c^{3} d^{4} \ln \left(e x +d \right)}{e^{7}}-\frac{10 A \,c^{3} d^{3} x}{e^{6}}-\frac{B \,a^{3}}{\left(e x +d \right) e^{2}}+\frac{6 B \,a^{2} b d}{\left(e x +d \right) e^{3}}+\frac{3 B \,a^{2} b \ln \left(e x +d \right)}{e^{3}}-\frac{9 B \,a^{2} c \,d^{2}}{\left(e x +d \right) e^{4}}-\frac{9 B \,a^{2} c d \ln \left(e x +d \right)}{e^{4}}+\frac{3 B \,a^{2} c x}{e^{3}}-\frac{9 B a \,b^{2} d^{2}}{\left(e x +d \right) e^{4}}-\frac{9 B a \,b^{2} d \ln \left(e x +d \right)}{e^{4}}+\frac{3 B a \,b^{2} x}{e^{3}}+\frac{24 B a b c \,d^{3}}{\left(e x +d \right) e^{5}}+\frac{36 B a b c \,d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{18 B a b c d x}{e^{4}}-\frac{15 B a \,c^{2} d^{4}}{\left(e x +d \right) e^{6}}-\frac{30 B a \,c^{2} d^{3} \ln \left(e x +d \right)}{e^{6}}+\frac{18 B a \,c^{2} d^{2} x}{e^{5}}+\frac{4 B \,b^{3} d^{3}}{\left(e x +d \right) e^{5}}+\frac{6 B \,b^{3} d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{3 B \,b^{3} d x}{e^{4}}-\frac{15 B \,b^{2} c \,d^{4}}{\left(e x +d \right) e^{6}}-\frac{30 B \,b^{2} c \,d^{3} \ln \left(e x +d \right)}{e^{6}}+\frac{18 B \,b^{2} c \,d^{2} x}{e^{5}}+\frac{18 B b \,c^{2} d^{5}}{\left(e x +d \right) e^{7}}+\frac{45 B b \,c^{2} d^{4} \ln \left(e x +d \right)}{e^{7}}-\frac{30 B b \,c^{2} d^{3} x}{e^{6}}-\frac{7 B \,c^{3} d^{6}}{\left(e x +d \right) e^{8}}-\frac{21 B \,c^{3} d^{5} \ln \left(e x +d \right)}{e^{8}}+\frac{15 B \,c^{3} d^{4} x}{e^{7}}"," ",0,"-A*c^3*d/e^4*x^3-7/(e*x+d)*B*c^3*d^6/e^8-1/2/(e*x+d)^2*A*c^3*d^6/e^7+1/2/(e*x+d)^2*B*a^3*d/e^2+6/(e*x+d)*A*c^3*d^5/e^7+1/4*A*c^3/e^3*x^4-1/(e*x+d)*B*a^3/e^2-1/2/(e*x+d)^2*A*a^3/e+1/2/e^4/(e*x+d)^2*A*b^3*d^3-1/2/e^5/(e*x+d)^2*B*b^3*d^4+3/e^3*ln(e*x+d)*A*a*b^2-3/e^4*ln(e*x+d)*A*b^3*d+3/e^3*ln(e*x+d)*B*a^2*b+6/e^5*ln(e*x+d)*B*b^3*d^2+1/e^3*B*x^3*b^2*c+1/e^3*A*x^3*b*c^2+3/4/e^3*B*x^4*b*c^2+3/e^3*B*a*b^2*x-3/e^4*B*b^3*d*x+3/2/e^3*A*x^2*b^2*c-15/(e*x+d)*B*a*c^2*d^4/e^6-3/2/(e*x+d)^2*A*a^2*c*d^2/e^3-3/2/(e*x+d)^2*A*a*c^2*d^4/e^5+3/2/(e*x+d)^2*B*a^2*c*d^3/e^4+3/2/(e*x+d)^2*B*a*c^2*d^5/e^6+3*A*c^3*d^2/e^5*x^2+1/2/(e*x+d)^2*B*c^3*d^7/e^8+3*A*a^2*c/e^3*ln(e*x+d)+15*A*c^3*d^4/e^7*ln(e*x+d)-21*B*c^3*d^5/e^8*ln(e*x+d)+15*B*c^3*d^4/e^7*x-3/4*B*c^3*d/e^4*x^4+18*A*a*c^2*d^2/e^5*ln(e*x+d)-9*B*a^2*c*d/e^4*ln(e*x+d)-30*B*a*c^2*d^3/e^6*ln(e*x+d)-9/2*B*a*c^2*d/e^4*x^2-9*A*a*c^2*d/e^4*x+18*B*a*c^2*d^2/e^5*x+6/(e*x+d)*A*a^2*c*d/e^3+12/(e*x+d)*A*a*c^2*d^3/e^5-9/(e*x+d)*B*a^2*c*d^2/e^4+1/e^3*A*b^3*x+1/2/e^3*B*x^2*b^3+3/2*A*a*c^2/e^3*x^2-5*B*c^3*d^3/e^6*x^2-10*A*c^3*d^3/e^6*x+3*B*a^2*c/e^3*x-3/e^2/(e*x+d)*A*a^2*b-3/e^4/(e*x+d)*A*b^3*d^2+4/e^5/(e*x+d)*B*b^3*d^3+B*a*c^2/e^3*x^3+2*B*c^3*d^2/e^5*x^3+1/5*B*c^3/e^3*x^5+24/e^5/(e*x+d)*B*a*b*c*d^3+3/e^4/(e*x+d)^2*A*a*b*c*d^3-3/e^5/(e*x+d)^2*B*a*b*c*d^4-18/e^4*ln(e*x+d)*A*a*b*c*d+36/e^5*ln(e*x+d)*B*a*b*c*d^2-18/e^4*B*a*b*c*d*x-18/e^4/(e*x+d)*A*a*b*c*d^2+3/2/e^6/(e*x+d)^2*A*b*c^2*d^5-3/2/e^3/(e*x+d)^2*B*d^2*a^2*b-3/2/e^5/(e*x+d)^2*A*b^2*c*d^4-9/e^4/(e*x+d)*B*a*b^2*d^2-15/e^6/(e*x+d)*B*b^2*c*d^4+18/e^7/(e*x+d)*B*b*c^2*d^5+3/2/e^2/(e*x+d)^2*A*d*a^2*b-3/2/e^3/(e*x+d)^2*A*d^2*a*b^2+3/e^3*B*x^2*a*b*c-9/2/e^4*B*x^2*b^2*c*d+9/e^5*B*x^2*b*c^2*d^2-3/2/e^7/(e*x+d)^2*B*b*c^2*d^6-30/e^6*ln(e*x+d)*A*b*c^2*d^3-9/e^4*ln(e*x+d)*B*a*b^2*d-30/e^6*ln(e*x+d)*B*b^2*c*d^3+45/e^7*ln(e*x+d)*B*b*c^2*d^4+3/2/e^4/(e*x+d)^2*B*a*b^2*d^3+3/2/e^6/(e*x+d)^2*B*b^2*c*d^5+18/e^5*ln(e*x+d)*A*b^2*c*d^2+6/e^3/(e*x+d)*A*a*b^2*d+12/e^5/(e*x+d)*A*b^2*c*d^3-15/e^6/(e*x+d)*A*b*c^2*d^4+6/e^3/(e*x+d)*B*a^2*b*d-9/2/e^4*A*x^2*b*c^2*d+18/e^5*B*b^2*c*d^2*x-30/e^6*B*b*c^2*d^3*x+6/e^3*A*a*b*c*x-9/e^4*A*b^2*c*d*x+18/e^5*A*b*c^2*d^2*x-3/e^4*B*x^3*b*c^2*d","B"
2342,1,1545,511,0.066000," ","int((B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^4,x)","\frac{B \,c^{3} x^{4}}{4 e^{4}}-\frac{A \,a^{3}}{3 \left(e x +d \right)^{3} e}+\frac{A \,a^{2} b d}{\left(e x +d \right)^{3} e^{2}}-\frac{A \,a^{2} c \,d^{2}}{\left(e x +d \right)^{3} e^{3}}-\frac{A a \,b^{2} d^{2}}{\left(e x +d \right)^{3} e^{3}}+\frac{2 A a b c \,d^{3}}{\left(e x +d \right)^{3} e^{4}}-\frac{A a \,c^{2} d^{4}}{\left(e x +d \right)^{3} e^{5}}+\frac{A \,b^{3} d^{3}}{3 \left(e x +d \right)^{3} e^{4}}-\frac{A \,b^{2} c \,d^{4}}{\left(e x +d \right)^{3} e^{5}}+\frac{A b \,c^{2} d^{5}}{\left(e x +d \right)^{3} e^{6}}-\frac{A \,c^{3} d^{6}}{3 \left(e x +d \right)^{3} e^{7}}+\frac{A \,c^{3} x^{3}}{3 e^{4}}+\frac{B \,a^{3} d}{3 \left(e x +d \right)^{3} e^{2}}-\frac{B \,a^{2} b \,d^{2}}{\left(e x +d \right)^{3} e^{3}}+\frac{B \,a^{2} c \,d^{3}}{\left(e x +d \right)^{3} e^{4}}+\frac{B a \,b^{2} d^{3}}{\left(e x +d \right)^{3} e^{4}}-\frac{2 B a b c \,d^{4}}{\left(e x +d \right)^{3} e^{5}}+\frac{B a \,c^{2} d^{5}}{\left(e x +d \right)^{3} e^{6}}-\frac{B \,b^{3} d^{4}}{3 \left(e x +d \right)^{3} e^{5}}+\frac{B \,b^{2} c \,d^{5}}{\left(e x +d \right)^{3} e^{6}}-\frac{B b \,c^{2} d^{6}}{\left(e x +d \right)^{3} e^{7}}+\frac{B b \,c^{2} x^{3}}{e^{4}}+\frac{B \,c^{3} d^{7}}{3 \left(e x +d \right)^{3} e^{8}}-\frac{4 B \,c^{3} d \,x^{3}}{3 e^{5}}-\frac{3 A \,a^{2} b}{2 \left(e x +d \right)^{2} e^{2}}+\frac{3 A \,a^{2} c d}{\left(e x +d \right)^{2} e^{3}}+\frac{3 A a \,b^{2} d}{\left(e x +d \right)^{2} e^{3}}-\frac{9 A a b c \,d^{2}}{\left(e x +d \right)^{2} e^{4}}+\frac{6 A a \,c^{2} d^{3}}{\left(e x +d \right)^{2} e^{5}}-\frac{3 A \,b^{3} d^{2}}{2 \left(e x +d \right)^{2} e^{4}}+\frac{6 A \,b^{2} c \,d^{3}}{\left(e x +d \right)^{2} e^{5}}-\frac{15 A b \,c^{2} d^{4}}{2 \left(e x +d \right)^{2} e^{6}}+\frac{3 A b \,c^{2} x^{2}}{2 e^{4}}+\frac{3 A \,c^{3} d^{5}}{\left(e x +d \right)^{2} e^{7}}-\frac{2 A \,c^{3} d \,x^{2}}{e^{5}}-\frac{B \,a^{3}}{2 \left(e x +d \right)^{2} e^{2}}+\frac{3 B \,a^{2} b d}{\left(e x +d \right)^{2} e^{3}}-\frac{9 B \,a^{2} c \,d^{2}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{9 B a \,b^{2} d^{2}}{2 \left(e x +d \right)^{2} e^{4}}+\frac{12 B a b c \,d^{3}}{\left(e x +d \right)^{2} e^{5}}-\frac{15 B a \,c^{2} d^{4}}{2 \left(e x +d \right)^{2} e^{6}}+\frac{3 B a \,c^{2} x^{2}}{2 e^{4}}+\frac{2 B \,b^{3} d^{3}}{\left(e x +d \right)^{2} e^{5}}-\frac{15 B \,b^{2} c \,d^{4}}{2 \left(e x +d \right)^{2} e^{6}}+\frac{3 B \,b^{2} c \,x^{2}}{2 e^{4}}+\frac{9 B b \,c^{2} d^{5}}{\left(e x +d \right)^{2} e^{7}}-\frac{6 B b \,c^{2} d \,x^{2}}{e^{5}}-\frac{7 B \,c^{3} d^{6}}{2 \left(e x +d \right)^{2} e^{8}}+\frac{5 B \,c^{3} d^{2} x^{2}}{e^{6}}-\frac{3 A \,a^{2} c}{\left(e x +d \right) e^{3}}-\frac{3 A a \,b^{2}}{\left(e x +d \right) e^{3}}+\frac{18 A a b c d}{\left(e x +d \right) e^{4}}+\frac{6 A a b c \ln \left(e x +d \right)}{e^{4}}-\frac{18 A a \,c^{2} d^{2}}{\left(e x +d \right) e^{5}}-\frac{12 A a \,c^{2} d \ln \left(e x +d \right)}{e^{5}}+\frac{3 A a \,c^{2} x}{e^{4}}+\frac{3 A \,b^{3} d}{\left(e x +d \right) e^{4}}+\frac{A \,b^{3} \ln \left(e x +d \right)}{e^{4}}-\frac{18 A \,b^{2} c \,d^{2}}{\left(e x +d \right) e^{5}}-\frac{12 A \,b^{2} c d \ln \left(e x +d \right)}{e^{5}}+\frac{3 A \,b^{2} c x}{e^{4}}+\frac{30 A b \,c^{2} d^{3}}{\left(e x +d \right) e^{6}}+\frac{30 A b \,c^{2} d^{2} \ln \left(e x +d \right)}{e^{6}}-\frac{12 A b \,c^{2} d x}{e^{5}}-\frac{15 A \,c^{3} d^{4}}{\left(e x +d \right) e^{7}}-\frac{20 A \,c^{3} d^{3} \ln \left(e x +d \right)}{e^{7}}+\frac{10 A \,c^{3} d^{2} x}{e^{6}}-\frac{3 B \,a^{2} b}{\left(e x +d \right) e^{3}}+\frac{9 B \,a^{2} c d}{\left(e x +d \right) e^{4}}+\frac{3 B \,a^{2} c \ln \left(e x +d \right)}{e^{4}}+\frac{9 B a \,b^{2} d}{\left(e x +d \right) e^{4}}+\frac{3 B a \,b^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{36 B a b c \,d^{2}}{\left(e x +d \right) e^{5}}-\frac{24 B a b c d \ln \left(e x +d \right)}{e^{5}}+\frac{6 B a b c x}{e^{4}}+\frac{30 B a \,c^{2} d^{3}}{\left(e x +d \right) e^{6}}+\frac{30 B a \,c^{2} d^{2} \ln \left(e x +d \right)}{e^{6}}-\frac{12 B a \,c^{2} d x}{e^{5}}-\frac{6 B \,b^{3} d^{2}}{\left(e x +d \right) e^{5}}-\frac{4 B \,b^{3} d \ln \left(e x +d \right)}{e^{5}}+\frac{B \,b^{3} x}{e^{4}}+\frac{30 B \,b^{2} c \,d^{3}}{\left(e x +d \right) e^{6}}+\frac{30 B \,b^{2} c \,d^{2} \ln \left(e x +d \right)}{e^{6}}-\frac{12 B \,b^{2} c d x}{e^{5}}-\frac{45 B b \,c^{2} d^{4}}{\left(e x +d \right) e^{7}}-\frac{60 B b \,c^{2} d^{3} \ln \left(e x +d \right)}{e^{7}}+\frac{30 B b \,c^{2} d^{2} x}{e^{6}}+\frac{21 B \,c^{3} d^{5}}{\left(e x +d \right) e^{8}}+\frac{35 B \,c^{3} d^{4} \ln \left(e x +d \right)}{e^{8}}-\frac{20 B \,c^{3} d^{3} x}{e^{7}}"," ",0,"-1/2/e^2/(e*x+d)^2*B*a^3+1/e^4*ln(e*x+d)*A*b^3-1/3/e/(e*x+d)^3*A*a^3+1/3/e^4*A*x^3*c^3+1/e^4*B*b^3*x+1/3/e^8/(e*x+d)^3*B*c^3*d^7-3/e^3/(e*x+d)*A*a^2*c-3/e^3/(e*x+d)*A*a*b^2+3/e^4/(e*x+d)*A*b^3*d-15/e^7/(e*x+d)*A*c^3*d^4-3/e^3/(e*x+d)*B*a^2*b-6/e^5/(e*x+d)*B*b^3*d^2+21/e^8/(e*x+d)*B*c^3*d^5-3/2/e^2/(e*x+d)^2*A*a^2*b-3/2/e^4/(e*x+d)^2*A*b^3*d^2+3/e^7/(e*x+d)^2*A*c^3*d^5+2/e^5/(e*x+d)^2*B*b^3*d^3-7/2/e^8/(e*x+d)^2*B*c^3*d^6+3/2/e^4*A*x^2*b*c^2-2/e^5*A*x^2*c^3*d+3/2/e^4*B*x^2*a*c^2+3/2/e^4*B*x^2*b^2*c+5/e^6*B*x^2*c^3*d^2+3/e^4*A*a*c^2*x+3/e^4*A*b^2*c*x+10/e^6*A*c^3*d^2*x-20/e^7*B*c^3*d^3*x-20/e^7*ln(e*x+d)*A*c^3*d^3+3/e^4*ln(e*x+d)*B*a^2*c+3/e^4*ln(e*x+d)*B*a*b^2+1/e^4*B*x^3*b*c^2-4/3/e^5*B*x^3*c^3*d+1/3/e^4/(e*x+d)^3*A*d^3*b^3-1/3/e^7/(e*x+d)^3*A*c^3*d^6+1/3/e^2/(e*x+d)^3*B*a^3*d-1/3/e^5/(e*x+d)^3*B*b^3*d^4-4/e^5*ln(e*x+d)*B*b^3*d+35/e^8*ln(e*x+d)*B*c^3*d^4+1/4*B*c^3/e^4*x^4+1/e^6/(e*x+d)^3*B*b^2*c*d^5-1/e^7/(e*x+d)^3*B*b*c^2*d^6+6/e^4*ln(e*x+d)*A*a*b*c-12/e^5*ln(e*x+d)*A*a*c^2*d-12/e^5*ln(e*x+d)*A*b^2*c*d+30/e^6*ln(e*x+d)*A*b*c^2*d^2+30/e^6*ln(e*x+d)*B*a*c^2*d^2+30/e^6*ln(e*x+d)*B*b^2*c*d^2-60/e^7*ln(e*x+d)*B*b*c^2*d^3+1/e^2/(e*x+d)^3*A*d*a^2*b-1/e^3/(e*x+d)^3*A*d^2*a^2*c-1/e^3/(e*x+d)^3*A*d^2*a*b^2+9/e^4/(e*x+d)*B*a^2*c*d+9/e^4/(e*x+d)*B*a*b^2*d+30/e^6*B*b*c^2*d^2*x+2/e^4/(e*x+d)^3*A*d^3*a*b*c-2/e^5/(e*x+d)^3*B*a*b*c*d^4+18/e^4/(e*x+d)*A*a*b*c*d-36/e^5/(e*x+d)*B*a*b*c*d^2-9/e^4/(e*x+d)^2*A*a*b*c*d^2-24/e^5*ln(e*x+d)*B*a*b*c*d+12/e^5/(e*x+d)^2*B*a*b*c*d^3+3/e^3/(e*x+d)^2*B*a^2*b*d-9/2/e^4/(e*x+d)^2*B*a^2*c*d^2-9/2/e^4/(e*x+d)^2*B*a*b^2*d^2-15/2/e^6/(e*x+d)^2*B*d^4*a*c^2-15/2/e^6/(e*x+d)^2*B*b^2*c*d^4+9/e^7/(e*x+d)^2*B*b*c^2*d^5+6/e^5/(e*x+d)^2*A*d^3*a*c^2+6/e^5/(e*x+d)^2*A*b^2*c*d^3-15/2/e^6/(e*x+d)^2*A*b*c^2*d^4+30/e^6/(e*x+d)*B*a*c^2*d^3+30/e^6/(e*x+d)*B*b^2*c*d^3-45/e^7/(e*x+d)*B*b*c^2*d^4+3/e^3/(e*x+d)^2*A*a^2*c*d+3/e^3/(e*x+d)^2*A*a*b^2*d+30/e^6/(e*x+d)*A*b*c^2*d^3-18/e^5/(e*x+d)*A*a*c^2*d^2-18/e^5/(e*x+d)*A*b^2*c*d^2+6/e^4*B*a*b*c*x-12/e^5*B*a*c^2*d*x-12/e^5*B*b^2*c*d*x-6/e^5*B*x^2*b*c^2*d-12/e^5*A*b*c^2*d*x-1/e^5/(e*x+d)^3*A*a*c^2*d^4-1/e^5/(e*x+d)^3*A*b^2*c*d^4+1/e^6/(e*x+d)^3*A*b*c^2*d^5-1/e^3/(e*x+d)^3*B*d^2*a^2*b+1/e^4/(e*x+d)^3*B*d^3*a^2*c+1/e^4/(e*x+d)^3*B*d^3*a*b^2+1/e^6/(e*x+d)^3*B*a*c^2*d^5","B"
2343,1,1605,523,0.066000," ","int((B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^5,x)","-\frac{A \,a^{3}}{4 \left(e x +d \right)^{4} e}+\frac{3 A \,a^{2} b d}{4 \left(e x +d \right)^{4} e^{2}}-\frac{3 A \,a^{2} c \,d^{2}}{4 \left(e x +d \right)^{4} e^{3}}-\frac{3 A a \,b^{2} d^{2}}{4 \left(e x +d \right)^{4} e^{3}}+\frac{3 A a b c \,d^{3}}{2 \left(e x +d \right)^{4} e^{4}}-\frac{3 A a \,c^{2} d^{4}}{4 \left(e x +d \right)^{4} e^{5}}+\frac{A \,b^{3} d^{3}}{4 \left(e x +d \right)^{4} e^{4}}-\frac{3 A \,b^{2} c \,d^{4}}{4 \left(e x +d \right)^{4} e^{5}}+\frac{3 A b \,c^{2} d^{5}}{4 \left(e x +d \right)^{4} e^{6}}-\frac{A \,c^{3} d^{6}}{4 \left(e x +d \right)^{4} e^{7}}+\frac{B \,a^{3} d}{4 \left(e x +d \right)^{4} e^{2}}-\frac{3 B \,a^{2} b \,d^{2}}{4 \left(e x +d \right)^{4} e^{3}}+\frac{3 B \,a^{2} c \,d^{3}}{4 \left(e x +d \right)^{4} e^{4}}+\frac{3 B a \,b^{2} d^{3}}{4 \left(e x +d \right)^{4} e^{4}}-\frac{3 B a b c \,d^{4}}{2 \left(e x +d \right)^{4} e^{5}}+\frac{3 B a \,c^{2} d^{5}}{4 \left(e x +d \right)^{4} e^{6}}-\frac{B \,b^{3} d^{4}}{4 \left(e x +d \right)^{4} e^{5}}+\frac{3 B \,b^{2} c \,d^{5}}{4 \left(e x +d \right)^{4} e^{6}}-\frac{3 B b \,c^{2} d^{6}}{4 \left(e x +d \right)^{4} e^{7}}+\frac{B \,c^{3} d^{7}}{4 \left(e x +d \right)^{4} e^{8}}-\frac{A \,a^{2} b}{\left(e x +d \right)^{3} e^{2}}+\frac{2 A \,a^{2} c d}{\left(e x +d \right)^{3} e^{3}}+\frac{2 A a \,b^{2} d}{\left(e x +d \right)^{3} e^{3}}-\frac{6 A a b c \,d^{2}}{\left(e x +d \right)^{3} e^{4}}+\frac{4 A a \,c^{2} d^{3}}{\left(e x +d \right)^{3} e^{5}}-\frac{A \,b^{3} d^{2}}{\left(e x +d \right)^{3} e^{4}}+\frac{4 A \,b^{2} c \,d^{3}}{\left(e x +d \right)^{3} e^{5}}-\frac{5 A b \,c^{2} d^{4}}{\left(e x +d \right)^{3} e^{6}}+\frac{2 A \,c^{3} d^{5}}{\left(e x +d \right)^{3} e^{7}}-\frac{B \,a^{3}}{3 \left(e x +d \right)^{3} e^{2}}+\frac{2 B \,a^{2} b d}{\left(e x +d \right)^{3} e^{3}}-\frac{3 B \,a^{2} c \,d^{2}}{\left(e x +d \right)^{3} e^{4}}-\frac{3 B a \,b^{2} d^{2}}{\left(e x +d \right)^{3} e^{4}}+\frac{8 B a b c \,d^{3}}{\left(e x +d \right)^{3} e^{5}}-\frac{5 B a \,c^{2} d^{4}}{\left(e x +d \right)^{3} e^{6}}+\frac{4 B \,b^{3} d^{3}}{3 \left(e x +d \right)^{3} e^{5}}-\frac{5 B \,b^{2} c \,d^{4}}{\left(e x +d \right)^{3} e^{6}}+\frac{6 B b \,c^{2} d^{5}}{\left(e x +d \right)^{3} e^{7}}-\frac{7 B \,c^{3} d^{6}}{3 \left(e x +d \right)^{3} e^{8}}+\frac{B \,c^{3} x^{3}}{3 e^{5}}-\frac{3 A \,a^{2} c}{2 \left(e x +d \right)^{2} e^{3}}-\frac{3 A a \,b^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{9 A a b c d}{\left(e x +d \right)^{2} e^{4}}-\frac{9 A a \,c^{2} d^{2}}{\left(e x +d \right)^{2} e^{5}}+\frac{3 A \,b^{3} d}{2 \left(e x +d \right)^{2} e^{4}}-\frac{9 A \,b^{2} c \,d^{2}}{\left(e x +d \right)^{2} e^{5}}+\frac{15 A b \,c^{2} d^{3}}{\left(e x +d \right)^{2} e^{6}}-\frac{15 A \,c^{3} d^{4}}{2 \left(e x +d \right)^{2} e^{7}}+\frac{A \,c^{3} x^{2}}{2 e^{5}}-\frac{3 B \,a^{2} b}{2 \left(e x +d \right)^{2} e^{3}}+\frac{9 B \,a^{2} c d}{2 \left(e x +d \right)^{2} e^{4}}+\frac{9 B a \,b^{2} d}{2 \left(e x +d \right)^{2} e^{4}}-\frac{18 B a b c \,d^{2}}{\left(e x +d \right)^{2} e^{5}}+\frac{15 B a \,c^{2} d^{3}}{\left(e x +d \right)^{2} e^{6}}-\frac{3 B \,b^{3} d^{2}}{\left(e x +d \right)^{2} e^{5}}+\frac{15 B \,b^{2} c \,d^{3}}{\left(e x +d \right)^{2} e^{6}}-\frac{45 B b \,c^{2} d^{4}}{2 \left(e x +d \right)^{2} e^{7}}+\frac{3 B b \,c^{2} x^{2}}{2 e^{5}}+\frac{21 B \,c^{3} d^{5}}{2 \left(e x +d \right)^{2} e^{8}}-\frac{5 B \,c^{3} d \,x^{2}}{2 e^{6}}-\frac{6 A a b c}{\left(e x +d \right) e^{4}}+\frac{12 A a \,c^{2} d}{\left(e x +d \right) e^{5}}+\frac{3 A a \,c^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{A \,b^{3}}{\left(e x +d \right) e^{4}}+\frac{12 A \,b^{2} c d}{\left(e x +d \right) e^{5}}+\frac{3 A \,b^{2} c \ln \left(e x +d \right)}{e^{5}}-\frac{30 A b \,c^{2} d^{2}}{\left(e x +d \right) e^{6}}-\frac{15 A b \,c^{2} d \ln \left(e x +d \right)}{e^{6}}+\frac{3 A b \,c^{2} x}{e^{5}}+\frac{20 A \,c^{3} d^{3}}{\left(e x +d \right) e^{7}}+\frac{15 A \,c^{3} d^{2} \ln \left(e x +d \right)}{e^{7}}-\frac{5 A \,c^{3} d x}{e^{6}}-\frac{3 B \,a^{2} c}{\left(e x +d \right) e^{4}}-\frac{3 B a \,b^{2}}{\left(e x +d \right) e^{4}}+\frac{24 B a b c d}{\left(e x +d \right) e^{5}}+\frac{6 B a b c \ln \left(e x +d \right)}{e^{5}}-\frac{30 B a \,c^{2} d^{2}}{\left(e x +d \right) e^{6}}-\frac{15 B a \,c^{2} d \ln \left(e x +d \right)}{e^{6}}+\frac{3 B a \,c^{2} x}{e^{5}}+\frac{4 B \,b^{3} d}{\left(e x +d \right) e^{5}}+\frac{B \,b^{3} \ln \left(e x +d \right)}{e^{5}}-\frac{30 B \,b^{2} c \,d^{2}}{\left(e x +d \right) e^{6}}-\frac{15 B \,b^{2} c d \ln \left(e x +d \right)}{e^{6}}+\frac{3 B \,b^{2} c x}{e^{5}}+\frac{60 B b \,c^{2} d^{3}}{\left(e x +d \right) e^{7}}+\frac{45 B b \,c^{2} d^{2} \ln \left(e x +d \right)}{e^{7}}-\frac{15 B b \,c^{2} d x}{e^{6}}-\frac{35 B \,c^{3} d^{4}}{\left(e x +d \right) e^{8}}-\frac{35 B \,c^{3} d^{3} \ln \left(e x +d \right)}{e^{8}}+\frac{15 B \,c^{3} d^{2} x}{e^{7}}"," ",0,"1/e^5*ln(e*x+d)*B*b^3-1/3/e^2/(e*x+d)^3*B*a^3-1/4/e/(e*x+d)^4*A*a^3+1/2*c^3/e^5*A*x^2+3*c/e^5*B*b^2*x+15*c^3/e^7*B*d^2*x+20/e^7/(e*x+d)*A*c^3*d^3-3/e^4/(e*x+d)*B*a^2*c-3/e^4/(e*x+d)*B*a*b^2+4/e^5/(e*x+d)*B*b^3*d-35/e^8/(e*x+d)*B*c^3*d^4-3/2/e^3/(e*x+d)^2*A*a^2*c-3/2/e^3/(e*x+d)^2*A*a*b^2+3/2/e^4/(e*x+d)^2*A*b^3*d-15/2/e^7/(e*x+d)^2*A*c^3*d^4-3/2/e^3/(e*x+d)^2*B*a^2*b-3/e^5/(e*x+d)^2*B*b^3*d^2+21/2/e^8/(e*x+d)^2*B*c^3*d^5+1/4/e^4/(e*x+d)^4*A*d^3*b^3-1/4/e^7/(e*x+d)^4*A*c^3*d^6+1/4/e^2/(e*x+d)^4*B*a^3*d-1/4/e^5/(e*x+d)^4*B*d^4*b^3+1/4/e^8/(e*x+d)^4*B*c^3*d^7+3/e^5*ln(e*x+d)*A*a*c^2+3/e^5*ln(e*x+d)*A*b^2*c+15/e^7*ln(e*x+d)*A*c^3*d^2-35/e^8*ln(e*x+d)*B*c^3*d^3-1/e^2/(e*x+d)^3*A*a^2*b-1/e^4/(e*x+d)^3*A*b^3*d^2+2/e^7/(e*x+d)^3*A*c^3*d^5+4/3/e^5/(e*x+d)^3*B*b^3*d^3-7/3/e^8/(e*x+d)^3*B*c^3*d^6+3/2*c^2/e^5*B*x^2*b-5/2*c^3/e^6*B*x^2*d-1/e^4/(e*x+d)*A*b^3+3*c^2/e^5*B*x*a+1/3*B*c^3/e^5*x^3+3*c^2/e^5*A*b*x-5*c^3/e^6*A*x*d-45/2/e^7/(e*x+d)^2*B*b*c^2*d^4+3/4/e^2/(e*x+d)^4*A*d*a^2*b-3/4/e^3/(e*x+d)^4*A*d^2*a^2*c+12/e^5/(e*x+d)*A*b^2*c*d-30/e^6/(e*x+d)*A*b*c^2*d^2-30/e^6/(e*x+d)*B*a*c^2*d^2-30/e^6/(e*x+d)*B*b^2*c*d^2+60/e^7/(e*x+d)*B*b*c^2*d^3-9/e^5/(e*x+d)^2*A*a*c^2*d^2-9/e^5/(e*x+d)^2*A*b^2*c*d^2+15/e^6/(e*x+d)^2*A*b*c^2*d^3+9/2/e^4/(e*x+d)^2*B*a^2*c*d+9/2/e^4/(e*x+d)^2*B*a*b^2*d+15/e^6/(e*x+d)^2*B*a*c^2*d^3+15/e^6/(e*x+d)^2*B*b^2*c*d^3+2/e^3/(e*x+d)^3*A*a*b^2*d+4/e^5/(e*x+d)^3*A*d^3*a*c^2+4/e^5/(e*x+d)^3*A*b^2*c*d^3-15*c^2/e^6*B*b*d*x-6/e^4/(e*x+d)*A*a*b*c+12/e^5/(e*x+d)*A*a*c^2*d+3/4/e^4/(e*x+d)^4*B*d^3*a^2*c+9/e^4/(e*x+d)^2*A*a*b*c*d-6/e^4/(e*x+d)^3*A*a*b*c*d^2+8/e^5/(e*x+d)^3*B*a*b*c*d^3+24/e^5/(e*x+d)*B*a*b*c*d-18/e^5/(e*x+d)^2*B*a*b*c*d^2+3/2/e^4/(e*x+d)^4*A*d^3*a*b*c-3/2/e^5/(e*x+d)^4*B*d^4*a*b*c-5/e^6/(e*x+d)^3*B*b^2*c*d^4-5/e^6/(e*x+d)^3*B*d^4*a*c^2-3/e^4/(e*x+d)^3*B*a*b^2*d^2-5/e^6/(e*x+d)^3*A*b*c^2*d^4+2/e^3/(e*x+d)^3*B*a^2*b*d-3/e^4/(e*x+d)^3*B*a^2*c*d^2+3/4/e^4/(e*x+d)^4*B*d^3*a*b^2+3/4/e^6/(e*x+d)^4*B*a*c^2*d^5+3/4/e^6/(e*x+d)^4*B*b^2*c*d^5-3/4/e^7/(e*x+d)^4*B*b*c^2*d^6-15/e^6*ln(e*x+d)*A*b*c^2*d+6/e^5*ln(e*x+d)*B*a*b*c-15/e^6*ln(e*x+d)*B*a*c^2*d-15/e^6*ln(e*x+d)*B*b^2*c*d+45/e^7*ln(e*x+d)*B*b*c^2*d^2+2/e^3/(e*x+d)^3*A*a^2*c*d+3/4/e^6/(e*x+d)^4*A*b*c^2*d^5-3/4/e^3/(e*x+d)^4*B*d^2*a^2*b+6/e^7/(e*x+d)^3*B*b*c^2*d^5-3/4/e^3/(e*x+d)^4*A*d^2*a*b^2-3/4/e^5/(e*x+d)^4*A*a*c^2*d^4-3/4/e^5/(e*x+d)^4*A*d^4*b^2*c","B"
2344,1,1637,526,0.059000," ","int((B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^6,x)","-\frac{A \,a^{3}}{5 \left(e x +d \right)^{5} e}+\frac{3 A \,a^{2} b d}{5 \left(e x +d \right)^{5} e^{2}}-\frac{3 A \,a^{2} c \,d^{2}}{5 \left(e x +d \right)^{5} e^{3}}-\frac{3 A a \,b^{2} d^{2}}{5 \left(e x +d \right)^{5} e^{3}}+\frac{6 A a b c \,d^{3}}{5 \left(e x +d \right)^{5} e^{4}}-\frac{3 A a \,c^{2} d^{4}}{5 \left(e x +d \right)^{5} e^{5}}+\frac{A \,b^{3} d^{3}}{5 \left(e x +d \right)^{5} e^{4}}-\frac{3 A \,b^{2} c \,d^{4}}{5 \left(e x +d \right)^{5} e^{5}}+\frac{3 A b \,c^{2} d^{5}}{5 \left(e x +d \right)^{5} e^{6}}-\frac{A \,c^{3} d^{6}}{5 \left(e x +d \right)^{5} e^{7}}+\frac{B \,a^{3} d}{5 \left(e x +d \right)^{5} e^{2}}-\frac{3 B \,a^{2} b \,d^{2}}{5 \left(e x +d \right)^{5} e^{3}}+\frac{3 B \,a^{2} c \,d^{3}}{5 \left(e x +d \right)^{5} e^{4}}+\frac{3 B a \,b^{2} d^{3}}{5 \left(e x +d \right)^{5} e^{4}}-\frac{6 B a b c \,d^{4}}{5 \left(e x +d \right)^{5} e^{5}}+\frac{3 B a \,c^{2} d^{5}}{5 \left(e x +d \right)^{5} e^{6}}-\frac{B \,b^{3} d^{4}}{5 \left(e x +d \right)^{5} e^{5}}+\frac{3 B \,b^{2} c \,d^{5}}{5 \left(e x +d \right)^{5} e^{6}}-\frac{3 B b \,c^{2} d^{6}}{5 \left(e x +d \right)^{5} e^{7}}+\frac{B \,c^{3} d^{7}}{5 \left(e x +d \right)^{5} e^{8}}-\frac{3 A \,a^{2} b}{4 \left(e x +d \right)^{4} e^{2}}+\frac{3 A \,a^{2} c d}{2 \left(e x +d \right)^{4} e^{3}}+\frac{3 A a \,b^{2} d}{2 \left(e x +d \right)^{4} e^{3}}-\frac{9 A a b c \,d^{2}}{2 \left(e x +d \right)^{4} e^{4}}+\frac{3 A a \,c^{2} d^{3}}{\left(e x +d \right)^{4} e^{5}}-\frac{3 A \,b^{3} d^{2}}{4 \left(e x +d \right)^{4} e^{4}}+\frac{3 A \,b^{2} c \,d^{3}}{\left(e x +d \right)^{4} e^{5}}-\frac{15 A b \,c^{2} d^{4}}{4 \left(e x +d \right)^{4} e^{6}}+\frac{3 A \,c^{3} d^{5}}{2 \left(e x +d \right)^{4} e^{7}}-\frac{B \,a^{3}}{4 \left(e x +d \right)^{4} e^{2}}+\frac{3 B \,a^{2} b d}{2 \left(e x +d \right)^{4} e^{3}}-\frac{9 B \,a^{2} c \,d^{2}}{4 \left(e x +d \right)^{4} e^{4}}-\frac{9 B a \,b^{2} d^{2}}{4 \left(e x +d \right)^{4} e^{4}}+\frac{6 B a b c \,d^{3}}{\left(e x +d \right)^{4} e^{5}}-\frac{15 B a \,c^{2} d^{4}}{4 \left(e x +d \right)^{4} e^{6}}+\frac{B \,b^{3} d^{3}}{\left(e x +d \right)^{4} e^{5}}-\frac{15 B \,b^{2} c \,d^{4}}{4 \left(e x +d \right)^{4} e^{6}}+\frac{9 B b \,c^{2} d^{5}}{2 \left(e x +d \right)^{4} e^{7}}-\frac{7 B \,c^{3} d^{6}}{4 \left(e x +d \right)^{4} e^{8}}-\frac{A \,a^{2} c}{\left(e x +d \right)^{3} e^{3}}-\frac{A a \,b^{2}}{\left(e x +d \right)^{3} e^{3}}+\frac{6 A a b c d}{\left(e x +d \right)^{3} e^{4}}-\frac{6 A a \,c^{2} d^{2}}{\left(e x +d \right)^{3} e^{5}}+\frac{A \,b^{3} d}{\left(e x +d \right)^{3} e^{4}}-\frac{6 A \,b^{2} c \,d^{2}}{\left(e x +d \right)^{3} e^{5}}+\frac{10 A b \,c^{2} d^{3}}{\left(e x +d \right)^{3} e^{6}}-\frac{5 A \,c^{3} d^{4}}{\left(e x +d \right)^{3} e^{7}}-\frac{B \,a^{2} b}{\left(e x +d \right)^{3} e^{3}}+\frac{3 B \,a^{2} c d}{\left(e x +d \right)^{3} e^{4}}+\frac{3 B a \,b^{2} d}{\left(e x +d \right)^{3} e^{4}}-\frac{12 B a b c \,d^{2}}{\left(e x +d \right)^{3} e^{5}}+\frac{10 B a \,c^{2} d^{3}}{\left(e x +d \right)^{3} e^{6}}-\frac{2 B \,b^{3} d^{2}}{\left(e x +d \right)^{3} e^{5}}+\frac{10 B \,b^{2} c \,d^{3}}{\left(e x +d \right)^{3} e^{6}}-\frac{15 B b \,c^{2} d^{4}}{\left(e x +d \right)^{3} e^{7}}+\frac{7 B \,c^{3} d^{5}}{\left(e x +d \right)^{3} e^{8}}-\frac{3 A a b c}{\left(e x +d \right)^{2} e^{4}}+\frac{6 A a \,c^{2} d}{\left(e x +d \right)^{2} e^{5}}-\frac{A \,b^{3}}{2 \left(e x +d \right)^{2} e^{4}}+\frac{6 A \,b^{2} c d}{\left(e x +d \right)^{2} e^{5}}-\frac{15 A b \,c^{2} d^{2}}{\left(e x +d \right)^{2} e^{6}}+\frac{10 A \,c^{3} d^{3}}{\left(e x +d \right)^{2} e^{7}}-\frac{3 B \,a^{2} c}{2 \left(e x +d \right)^{2} e^{4}}-\frac{3 B a \,b^{2}}{2 \left(e x +d \right)^{2} e^{4}}+\frac{12 B a b c d}{\left(e x +d \right)^{2} e^{5}}-\frac{15 B a \,c^{2} d^{2}}{\left(e x +d \right)^{2} e^{6}}+\frac{2 B \,b^{3} d}{\left(e x +d \right)^{2} e^{5}}-\frac{15 B \,b^{2} c \,d^{2}}{\left(e x +d \right)^{2} e^{6}}+\frac{30 B b \,c^{2} d^{3}}{\left(e x +d \right)^{2} e^{7}}-\frac{35 B \,c^{3} d^{4}}{2 \left(e x +d \right)^{2} e^{8}}+\frac{B \,c^{3} x^{2}}{2 e^{6}}-\frac{3 A a \,c^{2}}{\left(e x +d \right) e^{5}}-\frac{3 A \,b^{2} c}{\left(e x +d \right) e^{5}}+\frac{15 A b \,c^{2} d}{\left(e x +d \right) e^{6}}+\frac{3 A b \,c^{2} \ln \left(e x +d \right)}{e^{6}}-\frac{15 A \,c^{3} d^{2}}{\left(e x +d \right) e^{7}}-\frac{6 A \,c^{3} d \ln \left(e x +d \right)}{e^{7}}+\frac{A \,c^{3} x}{e^{6}}-\frac{6 B a b c}{\left(e x +d \right) e^{5}}+\frac{15 B a \,c^{2} d}{\left(e x +d \right) e^{6}}+\frac{3 B a \,c^{2} \ln \left(e x +d \right)}{e^{6}}-\frac{B \,b^{3}}{\left(e x +d \right) e^{5}}+\frac{15 B \,b^{2} c d}{\left(e x +d \right) e^{6}}+\frac{3 B \,b^{2} c \ln \left(e x +d \right)}{e^{6}}-\frac{45 B b \,c^{2} d^{2}}{\left(e x +d \right) e^{7}}-\frac{18 B b \,c^{2} d \ln \left(e x +d \right)}{e^{7}}+\frac{3 B b \,c^{2} x}{e^{6}}+\frac{35 B \,c^{3} d^{3}}{\left(e x +d \right) e^{8}}+\frac{21 B \,c^{3} d^{2} \ln \left(e x +d \right)}{e^{8}}-\frac{6 B \,c^{3} d x}{e^{7}}"," ",0,"-1/5/e/(e*x+d)^5*A*a^3-1/2/e^4/(e*x+d)^2*A*b^3-1/4/e^2/(e*x+d)^4*B*a^3+3*c^2/e^6*B*b*x-6*c^3/e^7*B*d*x+1/e^5/(e*x+d)^4*B*b^3*d^3-7/4/e^8/(e*x+d)^4*B*c^3*d^6+1/5/e^4/(e*x+d)^5*A*d^3*b^3-1/5/e^7/(e*x+d)^5*A*c^3*d^6+1/5/e^2/(e*x+d)^5*B*a^3*d-1/5/e^5/(e*x+d)^5*B*d^4*b^3+1/5/e^8/(e*x+d)^5*B*c^3*d^7+6/5/e^4/(e*x+d)^5*A*d^3*a*b*c-6/5/e^5/(e*x+d)^5*B*d^4*a*b*c-3/2/e^4/(e*x+d)^2*B*a^2*c-3/2/e^4/(e*x+d)^2*B*a*b^2+2/e^5/(e*x+d)^2*B*b^3*d-35/2/e^8/(e*x+d)^2*B*c^3*d^4-2/e^5/(e*x+d)^3*B*b^3*d^2+7/e^8/(e*x+d)^3*B*c^3*d^5+3*c^2/e^6*ln(e*x+d)*A*b-6*c^3/e^7*ln(e*x+d)*A*d+3*c^2/e^6*ln(e*x+d)*a*B+c^3/e^6*A*x-1/e^5/(e*x+d)*B*b^3+6/e^4/(e*x+d)^3*A*a*b*c*d-9/2/e^4/(e*x+d)^4*A*a*b*c*d^2+6/e^5/(e*x+d)^4*B*a*b*c*d^3+3*c/e^6*ln(e*x+d)*b^2*B+21*c^3/e^8*ln(e*x+d)*B*d^2-1/e^3/(e*x+d)^3*A*a^2*c-1/e^3/(e*x+d)^3*A*a*b^2+1/e^4/(e*x+d)^3*A*b^3*d-5/e^7/(e*x+d)^3*A*c^3*d^4-1/e^3/(e*x+d)^3*B*a^2*b-3/4/e^2/(e*x+d)^4*A*a^2*b-3/4/e^4/(e*x+d)^4*A*b^3*d^2+3/2/e^7/(e*x+d)^4*A*c^3*d^5+12/e^5/(e*x+d)^2*B*a*b*c*d-12/e^5/(e*x+d)^3*B*a*b*c*d^2+1/2*B*c^3/e^6*x^2-3/e^5/(e*x+d)*A*a*c^2-3/e^5/(e*x+d)*A*b^2*c-15/e^7/(e*x+d)*A*c^3*d^2+35/e^8/(e*x+d)*B*c^3*d^3+10/e^7/(e*x+d)^2*A*c^3*d^3-15/e^6/(e*x+d)^2*A*b*c^2*d^2-15/e^6/(e*x+d)^2*B*a*c^2*d^2-15/e^6/(e*x+d)^2*B*b^2*c*d^2+30/e^7/(e*x+d)^2*B*b*c^2*d^3-45/e^7/(e*x+d)*B*b*c^2*d^2+15/e^6/(e*x+d)*B*b^2*c*d+15/e^6/(e*x+d)*B*a*c^2*d+6/e^5/(e*x+d)^2*A*b^2*c*d+3/5/e^6/(e*x+d)^5*B*d^5*b^2*c-3/5/e^7/(e*x+d)^5*B*b*c^2*d^6-3/e^4/(e*x+d)^2*A*a*b*c+6/e^5/(e*x+d)^2*A*a*c^2*d-3/5/e^5/(e*x+d)^5*A*a*c^2*d^4-3/5/e^5/(e*x+d)^5*A*d^4*b^2*c+3/5/e^6/(e*x+d)^5*A*d^5*b*c^2-3/5/e^3/(e*x+d)^5*B*d^2*a^2*b+3/5/e^4/(e*x+d)^5*B*d^3*a^2*c+3/5/e^4/(e*x+d)^5*B*d^3*a*b^2+3/5/e^6/(e*x+d)^5*B*a*c^2*d^5+10/e^6/(e*x+d)^3*B*b^2*c*d^3+3/2/e^3/(e*x+d)^4*A*a^2*c*d+3/2/e^3/(e*x+d)^4*A*a*b^2*d+3/e^5/(e*x+d)^4*A*d^3*a*c^2+3/e^5/(e*x+d)^4*A*b^2*c*d^3-15/4/e^6/(e*x+d)^4*A*b*c^2*d^4+3/2/e^3/(e*x+d)^4*B*a^2*b*d-9/4/e^4/(e*x+d)^4*B*a^2*c*d^2-9/4/e^4/(e*x+d)^4*B*a*b^2*d^2-15/4/e^6/(e*x+d)^4*B*d^4*a*c^2-15/4/e^6/(e*x+d)^4*B*b^2*c*d^4+9/2/e^7/(e*x+d)^4*B*b*c^2*d^5+3/5/e^2/(e*x+d)^5*A*d*a^2*b-3/5/e^3/(e*x+d)^5*A*d^2*a^2*c-3/5/e^3/(e*x+d)^5*A*d^2*a*b^2+15/e^6/(e*x+d)*A*b*c^2*d-6/e^5/(e*x+d)*B*a*b*c-15/e^7/(e*x+d)^3*B*b*c^2*d^4-18*c^2/e^7*ln(e*x+d)*B*b*d-6/e^5/(e*x+d)^3*A*a*c^2*d^2-6/e^5/(e*x+d)^3*A*b^2*c*d^2+10/e^6/(e*x+d)^3*A*b*c^2*d^3+3/e^4/(e*x+d)^3*B*a^2*c*d+3/e^4/(e*x+d)^3*B*a*b^2*d+10/e^6/(e*x+d)^3*B*a*c^2*d^3","B"
2345,1,1656,531,0.063000," ","int((B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^7,x)","-\frac{A \,a^{3}}{6 \left(e x +d \right)^{6} e}+\frac{A \,a^{2} b d}{2 \left(e x +d \right)^{6} e^{2}}-\frac{A \,a^{2} c \,d^{2}}{2 \left(e x +d \right)^{6} e^{3}}-\frac{A a \,b^{2} d^{2}}{2 \left(e x +d \right)^{6} e^{3}}+\frac{A a b c \,d^{3}}{\left(e x +d \right)^{6} e^{4}}-\frac{A a \,c^{2} d^{4}}{2 \left(e x +d \right)^{6} e^{5}}+\frac{A \,b^{3} d^{3}}{6 \left(e x +d \right)^{6} e^{4}}-\frac{A \,b^{2} c \,d^{4}}{2 \left(e x +d \right)^{6} e^{5}}+\frac{A b \,c^{2} d^{5}}{2 \left(e x +d \right)^{6} e^{6}}-\frac{A \,c^{3} d^{6}}{6 \left(e x +d \right)^{6} e^{7}}+\frac{B \,a^{3} d}{6 \left(e x +d \right)^{6} e^{2}}-\frac{B \,a^{2} b \,d^{2}}{2 \left(e x +d \right)^{6} e^{3}}+\frac{B \,a^{2} c \,d^{3}}{2 \left(e x +d \right)^{6} e^{4}}+\frac{B a \,b^{2} d^{3}}{2 \left(e x +d \right)^{6} e^{4}}-\frac{B a b c \,d^{4}}{\left(e x +d \right)^{6} e^{5}}+\frac{B a \,c^{2} d^{5}}{2 \left(e x +d \right)^{6} e^{6}}-\frac{B \,b^{3} d^{4}}{6 \left(e x +d \right)^{6} e^{5}}+\frac{B \,b^{2} c \,d^{5}}{2 \left(e x +d \right)^{6} e^{6}}-\frac{B b \,c^{2} d^{6}}{2 \left(e x +d \right)^{6} e^{7}}+\frac{B \,c^{3} d^{7}}{6 \left(e x +d \right)^{6} e^{8}}-\frac{3 A \,a^{2} b}{5 \left(e x +d \right)^{5} e^{2}}+\frac{6 A \,a^{2} c d}{5 \left(e x +d \right)^{5} e^{3}}+\frac{6 A a \,b^{2} d}{5 \left(e x +d \right)^{5} e^{3}}-\frac{18 A a b c \,d^{2}}{5 \left(e x +d \right)^{5} e^{4}}+\frac{12 A a \,c^{2} d^{3}}{5 \left(e x +d \right)^{5} e^{5}}-\frac{3 A \,b^{3} d^{2}}{5 \left(e x +d \right)^{5} e^{4}}+\frac{12 A \,b^{2} c \,d^{3}}{5 \left(e x +d \right)^{5} e^{5}}-\frac{3 A b \,c^{2} d^{4}}{\left(e x +d \right)^{5} e^{6}}+\frac{6 A \,c^{3} d^{5}}{5 \left(e x +d \right)^{5} e^{7}}-\frac{B \,a^{3}}{5 \left(e x +d \right)^{5} e^{2}}+\frac{6 B \,a^{2} b d}{5 \left(e x +d \right)^{5} e^{3}}-\frac{9 B \,a^{2} c \,d^{2}}{5 \left(e x +d \right)^{5} e^{4}}-\frac{9 B a \,b^{2} d^{2}}{5 \left(e x +d \right)^{5} e^{4}}+\frac{24 B a b c \,d^{3}}{5 \left(e x +d \right)^{5} e^{5}}-\frac{3 B a \,c^{2} d^{4}}{\left(e x +d \right)^{5} e^{6}}+\frac{4 B \,b^{3} d^{3}}{5 \left(e x +d \right)^{5} e^{5}}-\frac{3 B \,b^{2} c \,d^{4}}{\left(e x +d \right)^{5} e^{6}}+\frac{18 B b \,c^{2} d^{5}}{5 \left(e x +d \right)^{5} e^{7}}-\frac{7 B \,c^{3} d^{6}}{5 \left(e x +d \right)^{5} e^{8}}-\frac{3 A \,a^{2} c}{4 \left(e x +d \right)^{4} e^{3}}-\frac{3 A a \,b^{2}}{4 \left(e x +d \right)^{4} e^{3}}+\frac{9 A a b c d}{2 \left(e x +d \right)^{4} e^{4}}-\frac{9 A a \,c^{2} d^{2}}{2 \left(e x +d \right)^{4} e^{5}}+\frac{3 A \,b^{3} d}{4 \left(e x +d \right)^{4} e^{4}}-\frac{9 A \,b^{2} c \,d^{2}}{2 \left(e x +d \right)^{4} e^{5}}+\frac{15 A b \,c^{2} d^{3}}{2 \left(e x +d \right)^{4} e^{6}}-\frac{15 A \,c^{3} d^{4}}{4 \left(e x +d \right)^{4} e^{7}}-\frac{3 B \,a^{2} b}{4 \left(e x +d \right)^{4} e^{3}}+\frac{9 B \,a^{2} c d}{4 \left(e x +d \right)^{4} e^{4}}+\frac{9 B a \,b^{2} d}{4 \left(e x +d \right)^{4} e^{4}}-\frac{9 B a b c \,d^{2}}{\left(e x +d \right)^{4} e^{5}}+\frac{15 B a \,c^{2} d^{3}}{2 \left(e x +d \right)^{4} e^{6}}-\frac{3 B \,b^{3} d^{2}}{2 \left(e x +d \right)^{4} e^{5}}+\frac{15 B \,b^{2} c \,d^{3}}{2 \left(e x +d \right)^{4} e^{6}}-\frac{45 B b \,c^{2} d^{4}}{4 \left(e x +d \right)^{4} e^{7}}+\frac{21 B \,c^{3} d^{5}}{4 \left(e x +d \right)^{4} e^{8}}-\frac{2 A a b c}{\left(e x +d \right)^{3} e^{4}}+\frac{4 A a \,c^{2} d}{\left(e x +d \right)^{3} e^{5}}-\frac{A \,b^{3}}{3 \left(e x +d \right)^{3} e^{4}}+\frac{4 A \,b^{2} c d}{\left(e x +d \right)^{3} e^{5}}-\frac{10 A b \,c^{2} d^{2}}{\left(e x +d \right)^{3} e^{6}}+\frac{20 A \,c^{3} d^{3}}{3 \left(e x +d \right)^{3} e^{7}}-\frac{B \,a^{2} c}{\left(e x +d \right)^{3} e^{4}}-\frac{B a \,b^{2}}{\left(e x +d \right)^{3} e^{4}}+\frac{8 B a b c d}{\left(e x +d \right)^{3} e^{5}}-\frac{10 B a \,c^{2} d^{2}}{\left(e x +d \right)^{3} e^{6}}+\frac{4 B \,b^{3} d}{3 \left(e x +d \right)^{3} e^{5}}-\frac{10 B \,b^{2} c \,d^{2}}{\left(e x +d \right)^{3} e^{6}}+\frac{20 B b \,c^{2} d^{3}}{\left(e x +d \right)^{3} e^{7}}-\frac{35 B \,c^{3} d^{4}}{3 \left(e x +d \right)^{3} e^{8}}-\frac{3 A a \,c^{2}}{2 \left(e x +d \right)^{2} e^{5}}-\frac{3 A \,b^{2} c}{2 \left(e x +d \right)^{2} e^{5}}+\frac{15 A b \,c^{2} d}{2 \left(e x +d \right)^{2} e^{6}}-\frac{15 A \,c^{3} d^{2}}{2 \left(e x +d \right)^{2} e^{7}}-\frac{3 B a b c}{\left(e x +d \right)^{2} e^{5}}+\frac{15 B a \,c^{2} d}{2 \left(e x +d \right)^{2} e^{6}}-\frac{B \,b^{3}}{2 \left(e x +d \right)^{2} e^{5}}+\frac{15 B \,b^{2} c d}{2 \left(e x +d \right)^{2} e^{6}}-\frac{45 B b \,c^{2} d^{2}}{2 \left(e x +d \right)^{2} e^{7}}+\frac{35 B \,c^{3} d^{3}}{2 \left(e x +d \right)^{2} e^{8}}-\frac{3 A b \,c^{2}}{\left(e x +d \right) e^{6}}+\frac{6 A \,c^{3} d}{\left(e x +d \right) e^{7}}+\frac{A \,c^{3} \ln \left(e x +d \right)}{e^{7}}-\frac{3 B a \,c^{2}}{\left(e x +d \right) e^{6}}-\frac{3 B \,b^{2} c}{\left(e x +d \right) e^{6}}+\frac{18 B b \,c^{2} d}{\left(e x +d \right) e^{7}}+\frac{3 B b \,c^{2} \ln \left(e x +d \right)}{e^{7}}-\frac{21 B \,c^{3} d^{2}}{\left(e x +d \right) e^{8}}-\frac{7 B \,c^{3} d \ln \left(e x +d \right)}{e^{8}}+\frac{B \,c^{3} x}{e^{7}}"," ",0,"-21*c^3/e^8/(e*x+d)*B*d^2-3/2/e^5/(e*x+d)^4*B*b^3*d^2+21/4/e^8/(e*x+d)^4*B*c^3*d^5+1/6/e^4/(e*x+d)^6*A*d^3*b^3-3*c^2/e^6/(e*x+d)*A*b+6*c^3/e^7/(e*x+d)*A*d-1/2/e^5/(e*x+d)^2*B*b^3-1/6/e/(e*x+d)^6*A*a^3-1/5/e^2/(e*x+d)^5*B*a^3+c^3/e^7*ln(e*x+d)*A-1/3/e^4/(e*x+d)^3*A*b^3-3/4/e^3/(e*x+d)^4*B*a^2*b+3*c^2/e^7*ln(e*x+d)*B*b-7*c^3/e^8*ln(e*x+d)*B*d-3/2/e^5/(e*x+d)^2*A*a*c^2-3/2/e^5/(e*x+d)^2*A*b^2*c-15/2/e^7/(e*x+d)^2*A*c^3*d^2+35/2/e^8/(e*x+d)^2*B*c^3*d^3+1/6/e^2/(e*x+d)^6*B*a^3*d-1/6/e^5/(e*x+d)^6*B*d^4*b^3+1/6/e^8/(e*x+d)^6*B*c^3*d^7-18/5/e^4/(e*x+d)^5*A*a*b*c*d^2+8/e^5/(e*x+d)^3*B*a*b*c*d+24/5/e^5/(e*x+d)^5*B*a*b*c*d^3+9/2/e^4/(e*x+d)^4*A*a*b*c*d-9/e^5/(e*x+d)^4*B*a*b*c*d^2+1/e^4/(e*x+d)^6*A*d^3*a*b*c-1/e^5/(e*x+d)^6*B*d^4*a*b*c-3*c^2/e^6/(e*x+d)*a*B-3*c/e^6/(e*x+d)*b^2*B+20/3/e^7/(e*x+d)^3*A*c^3*d^3-1/e^4/(e*x+d)^3*B*a^2*c-1/e^4/(e*x+d)^3*B*a*b^2+4/3/e^5/(e*x+d)^3*B*b^3*d-35/3/e^8/(e*x+d)^3*B*c^3*d^4-3/5/e^2/(e*x+d)^5*A*a^2*b-1/6/e^7/(e*x+d)^6*A*d^6*c^3+12/5/e^5/(e*x+d)^5*A*d^3*a*c^2+12/5/e^5/(e*x+d)^5*A*b^2*c*d^3-3/e^6/(e*x+d)^5*A*b*c^2*d^4+6/5/e^3/(e*x+d)^5*B*a^2*b*d+6/5/e^3/(e*x+d)^5*A*a^2*c*d+6/5/e^3/(e*x+d)^5*A*a*b^2*d-10/e^6/(e*x+d)^3*A*b*c^2*d^2-10/e^6/(e*x+d)^3*B*a*c^2*d^2-9/5/e^4/(e*x+d)^5*B*a^2*c*d^2-9/5/e^4/(e*x+d)^5*B*a*b^2*d^2-3/e^6/(e*x+d)^5*B*d^4*a*c^2-3/e^6/(e*x+d)^5*B*b^2*c*d^4+18/5/e^7/(e*x+d)^5*B*b*c^2*d^5-2/e^4/(e*x+d)^3*A*a*b*c+4/e^5/(e*x+d)^3*A*a*c^2*d+4/e^5/(e*x+d)^3*A*b^2*c*d-3/5/e^4/(e*x+d)^5*A*b^3*d^2+6/5/e^7/(e*x+d)^5*A*c^3*d^5+4/5/e^5/(e*x+d)^5*B*b^3*d^3-7/5/e^8/(e*x+d)^5*B*c^3*d^6-3/4/e^3/(e*x+d)^4*A*a^2*c-3/4/e^3/(e*x+d)^4*A*a*b^2+3/4/e^4/(e*x+d)^4*A*b^3*d-15/4/e^7/(e*x+d)^4*A*c^3*d^4+B*c^3/e^7*x+18*c^2/e^7/(e*x+d)*B*b*d-3/e^5/(e*x+d)^2*B*a*b*c+15/2/e^6/(e*x+d)^2*B*a*c^2*d+15/2/e^6/(e*x+d)^2*B*b^2*c*d-45/2/e^7/(e*x+d)^2*B*b*c^2*d^2-9/2/e^5/(e*x+d)^4*A*a*c^2*d^2-1/2/e^7/(e*x+d)^6*B*d^6*b*c^2+15/2/e^6/(e*x+d)^2*A*b*c^2*d+1/2/e^6/(e*x+d)^6*B*d^5*b^2*c+1/2/e^4/(e*x+d)^6*B*d^3*a*b^2+1/2/e^6/(e*x+d)^6*B*a*c^2*d^5-1/2/e^3/(e*x+d)^6*B*d^2*a^2*b+1/2/e^4/(e*x+d)^6*B*d^3*a^2*c-1/2/e^5/(e*x+d)^6*A*d^4*b^2*c+1/2/e^6/(e*x+d)^6*A*d^5*b*c^2+1/2/e^2/(e*x+d)^6*A*d*a^2*b-1/2/e^3/(e*x+d)^6*A*d^2*a^2*c-1/2/e^3/(e*x+d)^6*A*d^2*a*b^2-1/2/e^5/(e*x+d)^6*A*a*c^2*d^4+15/2/e^6/(e*x+d)^4*B*b^2*c*d^3-45/4/e^7/(e*x+d)^4*B*b*c^2*d^4+9/4/e^4/(e*x+d)^4*B*a*b^2*d+15/2/e^6/(e*x+d)^4*B*a*c^2*d^3-10/e^6/(e*x+d)^3*B*b^2*c*d^2+20/e^7/(e*x+d)^3*B*b*c^2*d^3-9/2/e^5/(e*x+d)^4*A*b^2*c*d^2+15/2/e^6/(e*x+d)^4*A*b*c^2*d^3+9/4/e^4/(e*x+d)^4*B*a^2*c*d","B"
2346,1,1661,536,0.056000," ","int((B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^8,x)","-\frac{A \,a^{3}}{7 \left(e x +d \right)^{7} e}+\frac{3 A \,a^{2} b d}{7 \left(e x +d \right)^{7} e^{2}}-\frac{3 A \,a^{2} c \,d^{2}}{7 \left(e x +d \right)^{7} e^{3}}-\frac{3 A a \,b^{2} d^{2}}{7 \left(e x +d \right)^{7} e^{3}}+\frac{6 A a b c \,d^{3}}{7 \left(e x +d \right)^{7} e^{4}}-\frac{3 A a \,c^{2} d^{4}}{7 \left(e x +d \right)^{7} e^{5}}+\frac{A \,b^{3} d^{3}}{7 \left(e x +d \right)^{7} e^{4}}-\frac{3 A \,b^{2} c \,d^{4}}{7 \left(e x +d \right)^{7} e^{5}}+\frac{3 A b \,c^{2} d^{5}}{7 \left(e x +d \right)^{7} e^{6}}-\frac{A \,c^{3} d^{6}}{7 \left(e x +d \right)^{7} e^{7}}+\frac{B \,a^{3} d}{7 \left(e x +d \right)^{7} e^{2}}-\frac{3 B \,a^{2} b \,d^{2}}{7 \left(e x +d \right)^{7} e^{3}}+\frac{3 B \,a^{2} c \,d^{3}}{7 \left(e x +d \right)^{7} e^{4}}+\frac{3 B a \,b^{2} d^{3}}{7 \left(e x +d \right)^{7} e^{4}}-\frac{6 B a b c \,d^{4}}{7 \left(e x +d \right)^{7} e^{5}}+\frac{3 B a \,c^{2} d^{5}}{7 \left(e x +d \right)^{7} e^{6}}-\frac{B \,b^{3} d^{4}}{7 \left(e x +d \right)^{7} e^{5}}+\frac{3 B \,b^{2} c \,d^{5}}{7 \left(e x +d \right)^{7} e^{6}}-\frac{3 B b \,c^{2} d^{6}}{7 \left(e x +d \right)^{7} e^{7}}+\frac{B \,c^{3} d^{7}}{7 \left(e x +d \right)^{7} e^{8}}-\frac{A \,a^{2} b}{2 \left(e x +d \right)^{6} e^{2}}+\frac{A \,a^{2} c d}{\left(e x +d \right)^{6} e^{3}}+\frac{A a \,b^{2} d}{\left(e x +d \right)^{6} e^{3}}-\frac{3 A a b c \,d^{2}}{\left(e x +d \right)^{6} e^{4}}+\frac{2 A a \,c^{2} d^{3}}{\left(e x +d \right)^{6} e^{5}}-\frac{A \,b^{3} d^{2}}{2 \left(e x +d \right)^{6} e^{4}}+\frac{2 A \,b^{2} c \,d^{3}}{\left(e x +d \right)^{6} e^{5}}-\frac{5 A b \,c^{2} d^{4}}{2 \left(e x +d \right)^{6} e^{6}}+\frac{A \,c^{3} d^{5}}{\left(e x +d \right)^{6} e^{7}}-\frac{B \,a^{3}}{6 \left(e x +d \right)^{6} e^{2}}+\frac{B \,a^{2} b d}{\left(e x +d \right)^{6} e^{3}}-\frac{3 B \,a^{2} c \,d^{2}}{2 \left(e x +d \right)^{6} e^{4}}-\frac{3 B a \,b^{2} d^{2}}{2 \left(e x +d \right)^{6} e^{4}}+\frac{4 B a b c \,d^{3}}{\left(e x +d \right)^{6} e^{5}}-\frac{5 B a \,c^{2} d^{4}}{2 \left(e x +d \right)^{6} e^{6}}+\frac{2 B \,b^{3} d^{3}}{3 \left(e x +d \right)^{6} e^{5}}-\frac{5 B \,b^{2} c \,d^{4}}{2 \left(e x +d \right)^{6} e^{6}}+\frac{3 B b \,c^{2} d^{5}}{\left(e x +d \right)^{6} e^{7}}-\frac{7 B \,c^{3} d^{6}}{6 \left(e x +d \right)^{6} e^{8}}-\frac{3 A \,a^{2} c}{5 \left(e x +d \right)^{5} e^{3}}-\frac{3 A a \,b^{2}}{5 \left(e x +d \right)^{5} e^{3}}+\frac{18 A a b c d}{5 \left(e x +d \right)^{5} e^{4}}-\frac{18 A a \,c^{2} d^{2}}{5 \left(e x +d \right)^{5} e^{5}}+\frac{3 A \,b^{3} d}{5 \left(e x +d \right)^{5} e^{4}}-\frac{18 A \,b^{2} c \,d^{2}}{5 \left(e x +d \right)^{5} e^{5}}+\frac{6 A b \,c^{2} d^{3}}{\left(e x +d \right)^{5} e^{6}}-\frac{3 A \,c^{3} d^{4}}{\left(e x +d \right)^{5} e^{7}}-\frac{3 B \,a^{2} b}{5 \left(e x +d \right)^{5} e^{3}}+\frac{9 B \,a^{2} c d}{5 \left(e x +d \right)^{5} e^{4}}+\frac{9 B a \,b^{2} d}{5 \left(e x +d \right)^{5} e^{4}}-\frac{36 B a b c \,d^{2}}{5 \left(e x +d \right)^{5} e^{5}}+\frac{6 B a \,c^{2} d^{3}}{\left(e x +d \right)^{5} e^{6}}-\frac{6 B \,b^{3} d^{2}}{5 \left(e x +d \right)^{5} e^{5}}+\frac{6 B \,b^{2} c \,d^{3}}{\left(e x +d \right)^{5} e^{6}}-\frac{9 B b \,c^{2} d^{4}}{\left(e x +d \right)^{5} e^{7}}+\frac{21 B \,c^{3} d^{5}}{5 \left(e x +d \right)^{5} e^{8}}-\frac{3 A a b c}{2 \left(e x +d \right)^{4} e^{4}}+\frac{3 A a \,c^{2} d}{\left(e x +d \right)^{4} e^{5}}-\frac{A \,b^{3}}{4 \left(e x +d \right)^{4} e^{4}}+\frac{3 A \,b^{2} c d}{\left(e x +d \right)^{4} e^{5}}-\frac{15 A b \,c^{2} d^{2}}{2 \left(e x +d \right)^{4} e^{6}}+\frac{5 A \,c^{3} d^{3}}{\left(e x +d \right)^{4} e^{7}}-\frac{3 B \,a^{2} c}{4 \left(e x +d \right)^{4} e^{4}}-\frac{3 B a \,b^{2}}{4 \left(e x +d \right)^{4} e^{4}}+\frac{6 B a b c d}{\left(e x +d \right)^{4} e^{5}}-\frac{15 B a \,c^{2} d^{2}}{2 \left(e x +d \right)^{4} e^{6}}+\frac{B \,b^{3} d}{\left(e x +d \right)^{4} e^{5}}-\frac{15 B \,b^{2} c \,d^{2}}{2 \left(e x +d \right)^{4} e^{6}}+\frac{15 B b \,c^{2} d^{3}}{\left(e x +d \right)^{4} e^{7}}-\frac{35 B \,c^{3} d^{4}}{4 \left(e x +d \right)^{4} e^{8}}-\frac{A a \,c^{2}}{\left(e x +d \right)^{3} e^{5}}-\frac{A \,b^{2} c}{\left(e x +d \right)^{3} e^{5}}+\frac{5 A b \,c^{2} d}{\left(e x +d \right)^{3} e^{6}}-\frac{5 A \,c^{3} d^{2}}{\left(e x +d \right)^{3} e^{7}}-\frac{2 B a b c}{\left(e x +d \right)^{3} e^{5}}+\frac{5 B a \,c^{2} d}{\left(e x +d \right)^{3} e^{6}}-\frac{B \,b^{3}}{3 \left(e x +d \right)^{3} e^{5}}+\frac{5 B \,b^{2} c d}{\left(e x +d \right)^{3} e^{6}}-\frac{15 B b \,c^{2} d^{2}}{\left(e x +d \right)^{3} e^{7}}+\frac{35 B \,c^{3} d^{3}}{3 \left(e x +d \right)^{3} e^{8}}-\frac{3 A b \,c^{2}}{2 \left(e x +d \right)^{2} e^{6}}+\frac{3 A \,c^{3} d}{\left(e x +d \right)^{2} e^{7}}-\frac{3 B a \,c^{2}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{3 B \,b^{2} c}{2 \left(e x +d \right)^{2} e^{6}}+\frac{9 B b \,c^{2} d}{\left(e x +d \right)^{2} e^{7}}-\frac{21 B \,c^{3} d^{2}}{2 \left(e x +d \right)^{2} e^{8}}-\frac{A \,c^{3}}{\left(e x +d \right) e^{7}}-\frac{3 B b \,c^{2}}{\left(e x +d \right) e^{7}}+\frac{7 B \,c^{3} d}{\left(e x +d \right) e^{8}}+\frac{B \,c^{3} \ln \left(e x +d \right)}{e^{8}}"," ",0,"-36/5/e^5/(e*x+d)^5*B*d^2*a*b*c+4/e^5/(e*x+d)^6*B*d^3*a*b*c+6/7/e^4/(e*x+d)^7*A*d^3*a*b*c-6/7/e^5/(e*x+d)^7*B*d^4*a*b*c+18/5/e^4/(e*x+d)^5*A*d*a*b*c+6/e^5/(e*x+d)^4*B*d*a*b*c-3/e^4/(e*x+d)^6*A*d^2*a*b*c-1/3/e^5/(e*x+d)^3*b^3*B-c^3/e^7/(e*x+d)*A-1/4/e^4/(e*x+d)^4*A*b^3-1/6/e^2/(e*x+d)^6*B*a^3-1/7/e/(e*x+d)^7*A*a^3-7/6/e^8/(e*x+d)^6*B*d^6*c^3+1/7/e^4/(e*x+d)^7*A*b^3*d^3-1/7/e^7/(e*x+d)^7*A*d^6*c^3-3/4/e^4/(e*x+d)^4*B*a*b^2+1/e^5/(e*x+d)^4*B*b^3*d-35/4/e^8/(e*x+d)^4*B*c^3*d^4-1/2/e^2/(e*x+d)^6*A*a^2*b-1/2/e^4/(e*x+d)^6*A*d^2*b^3+1/e^7/(e*x+d)^6*A*c^3*d^5-1/e^5/(e*x+d)^3*A*b^2*c-5/e^7/(e*x+d)^3*A*c^3*d^2+35/3/e^8/(e*x+d)^3*B*d^3*c^3+3*c^3/e^7/(e*x+d)^2*A*d-3/2*c^2/e^6/(e*x+d)^2*a*B+B*c^3/e^8*ln(e*x+d)-3/2*c/e^6/(e*x+d)^2*b^2*B-21/2*c^3/e^8/(e*x+d)^2*B*d^2+5/e^7/(e*x+d)^4*A*c^3*d^3-3/4/e^4/(e*x+d)^4*B*a^2*c-1/e^5/(e*x+d)^3*A*a*c^2-3*c^2/e^7/(e*x+d)*B*b+7*c^3/e^8/(e*x+d)*B*d+1/7/e^2/(e*x+d)^7*B*a^3*d-1/7/e^5/(e*x+d)^7*B*d^4*b^3+1/7/e^8/(e*x+d)^7*B*c^3*d^7-3/5/e^3/(e*x+d)^5*A*a^2*c-3/5/e^3/(e*x+d)^5*A*a*b^2+3/5/e^4/(e*x+d)^5*A*d*b^3-3/e^7/(e*x+d)^5*A*c^3*d^4-3/5/e^3/(e*x+d)^5*B*a^2*b-6/5/e^5/(e*x+d)^5*B*d^2*b^3+21/5/e^8/(e*x+d)^5*B*d^5*c^3-3/2*c^2/e^6/(e*x+d)^2*A*b+2/3/e^5/(e*x+d)^6*B*b^3*d^3+5/e^6/(e*x+d)^3*B*d*b^2*c+5/e^6/(e*x+d)^3*B*d*a*c^2-2/e^5/(e*x+d)^3*a*b*B*c+5/e^6/(e*x+d)^3*A*b*c^2*d+3/e^7/(e*x+d)^6*B*d^5*b*c^2-9/e^7/(e*x+d)^5*B*d^4*b*c^2-3/7/e^5/(e*x+d)^7*A*a*c^2*d^4-3/7/e^5/(e*x+d)^7*A*d^4*b^2*c+3/7/e^6/(e*x+d)^7*A*b*c^2*d^5-3/7/e^3/(e*x+d)^7*B*d^2*a^2*b+3/7/e^4/(e*x+d)^7*B*d^3*a^2*c-3/2/e^4/(e*x+d)^6*B*d^2*a*b^2-5/2/e^6/(e*x+d)^6*B*d^4*a*c^2-5/2/e^6/(e*x+d)^6*B*d^4*b^2*c+3/7/e^6/(e*x+d)^7*B*a*c^2*d^5+3/7/e^6/(e*x+d)^7*B*d^5*b^2*c-3/7/e^7/(e*x+d)^7*B*d^6*b*c^2+3/7/e^2/(e*x+d)^7*A*d*a^2*b-3/7/e^3/(e*x+d)^7*A*d^2*a^2*c-3/7/e^3/(e*x+d)^7*A*d^2*a*b^2-15/2/e^6/(e*x+d)^4*B*d^2*a*c^2-15/2/e^6/(e*x+d)^4*B*d^2*b^2*c+15/e^7/(e*x+d)^4*B*d^3*b*c^2+1/e^3/(e*x+d)^6*A*a^2*c*d+3/7/e^4/(e*x+d)^7*B*a*b^2*d^3-18/5/e^5/(e*x+d)^5*A*a*c^2*d^2-18/5/e^5/(e*x+d)^5*A*b^2*c*d^2-3/2/e^4/(e*x+d)^6*B*a^2*c*d^2+6/e^6/(e*x+d)^5*A*b*c^2*d^3+9*c^2/e^7/(e*x+d)^2*B*b*d-3/2/e^4/(e*x+d)^4*A*a*b*c+3/e^5/(e*x+d)^4*A*d*a*c^2+3/e^5/(e*x+d)^4*A*d*b^2*c-15/2/e^6/(e*x+d)^4*A*b*c^2*d^2+1/e^3/(e*x+d)^6*A*d*a*b^2+2/e^5/(e*x+d)^6*A*d^3*a*c^2+2/e^5/(e*x+d)^6*A*d^3*b^2*c-5/2/e^6/(e*x+d)^6*A*b*c^2*d^4+1/e^3/(e*x+d)^6*B*d*a^2*b+6/e^6/(e*x+d)^5*B*a*c^2*d^3+6/e^6/(e*x+d)^5*B*d^3*b^2*c-15/e^7/(e*x+d)^3*B*b*c^2*d^2+9/5/e^4/(e*x+d)^5*B*a^2*c*d+9/5/e^4/(e*x+d)^5*B*d*a*b^2","B"
2347,1,1067,538,0.053000," ","int((B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^9,x)","-\frac{B \,c^{3}}{\left(e x +d \right) e^{8}}-\frac{\left(A c e +3 B b e -7 B c d \right) c^{2}}{2 \left(e x +d \right)^{2} e^{8}}-\frac{\left(A b c \,e^{2}-2 A \,c^{2} d e +a B c \,e^{2}+b^{2} B \,e^{2}-6 B b c d e +7 B \,c^{2} d^{2}\right) c}{\left(e x +d \right)^{3} e^{8}}-\frac{A \,a^{3} e^{7}-3 A d \,a^{2} b \,e^{6}+3 A \,d^{2} a^{2} c \,e^{5}+3 A \,d^{2} a \,b^{2} e^{5}-6 A \,d^{3} a b c \,e^{4}+3 A a \,c^{2} d^{4} e^{3}-A \,b^{3} d^{3} e^{4}+3 A \,d^{4} b^{2} c \,e^{3}-3 A b \,c^{2} d^{5} e^{2}+A \,d^{6} c^{3} e -B \,a^{3} d \,e^{6}+3 B \,d^{2} a^{2} b \,e^{5}-3 B \,d^{3} a^{2} c \,e^{4}-3 B a \,b^{2} d^{3} e^{4}+6 B \,d^{4} a b c \,e^{3}-3 B a \,c^{2} d^{5} e^{2}+B \,d^{4} b^{3} e^{3}-3 B \,d^{5} b^{2} c \,e^{2}+3 B \,d^{6} b \,c^{2} e -B \,d^{7} c^{3}}{8 \left(e x +d \right)^{8} e^{8}}-\frac{3 A a \,c^{2} e^{3}+3 A \,b^{2} c \,e^{3}-15 A b \,c^{2} d \,e^{2}+15 A \,c^{3} d^{2} e +6 a b B c \,e^{3}-15 B d a \,c^{2} e^{2}+b^{3} B \,e^{3}-15 B d \,b^{2} c \,e^{2}+45 B b \,c^{2} d^{2} e -35 B \,d^{3} c^{3}}{4 \left(e x +d \right)^{4} e^{8}}-\frac{3 A \,a^{2} c \,e^{5}+3 A a \,b^{2} e^{5}-18 A d a b c \,e^{4}+18 A a \,c^{2} d^{2} e^{3}-3 A d \,b^{3} e^{4}+18 A \,b^{2} c \,d^{2} e^{3}-30 A b \,c^{2} d^{3} e^{2}+15 A \,c^{3} d^{4} e +3 B \,a^{2} b \,e^{5}-9 B \,a^{2} c d \,e^{4}-9 B d a \,b^{2} e^{4}+36 B \,d^{2} a b c \,e^{3}-30 B a \,c^{2} d^{3} e^{2}+6 B \,d^{2} b^{3} e^{3}-30 B \,d^{3} b^{2} c \,e^{2}+45 B \,d^{4} b \,c^{2} e -21 B \,d^{5} c^{3}}{6 \left(e x +d \right)^{6} e^{8}}-\frac{3 A \,a^{2} b \,e^{6}-6 A \,a^{2} c d \,e^{5}-6 A d a \,b^{2} e^{5}+18 A \,d^{2} a b c \,e^{4}-12 A \,d^{3} a \,c^{2} e^{3}+3 A \,d^{2} b^{3} e^{4}-12 A \,d^{3} b^{2} c \,e^{3}+15 A b \,c^{2} d^{4} e^{2}-6 A \,c^{3} d^{5} e +B \,a^{3} e^{6}-6 B d \,a^{2} b \,e^{5}+9 B \,a^{2} c \,d^{2} e^{4}+9 B \,d^{2} a \,b^{2} e^{4}-24 B \,d^{3} a b c \,e^{3}+15 B \,d^{4} a \,c^{2} e^{2}-4 B \,b^{3} d^{3} e^{3}+15 B \,d^{4} b^{2} c \,e^{2}-18 B \,d^{5} b \,c^{2} e +7 B \,d^{6} c^{3}}{7 \left(e x +d \right)^{7} e^{8}}-\frac{6 A a b c \,e^{4}-12 A d a \,c^{2} e^{3}+A \,b^{3} e^{4}-12 A d \,b^{2} c \,e^{3}+30 A b \,c^{2} d^{2} e^{2}-20 A \,c^{3} d^{3} e +3 B \,a^{2} c \,e^{4}+3 B a \,b^{2} e^{4}-24 B d a b c \,e^{3}+30 B \,d^{2} a \,c^{2} e^{2}-4 B \,b^{3} d \,e^{3}+30 B \,d^{2} b^{2} c \,e^{2}-60 B \,d^{3} b \,c^{2} e +35 B \,c^{3} d^{4}}{5 \left(e x +d \right)^{5} e^{8}}"," ",0,"-1/(e*x+d)*B*c^3/e^8-1/8*(A*a^3*e^7-3*A*a^2*b*d*e^6+3*A*a^2*c*d^2*e^5+3*A*a*b^2*d^2*e^5-6*A*a*b*c*d^3*e^4+3*A*a*c^2*d^4*e^3-A*b^3*d^3*e^4+3*A*b^2*c*d^4*e^3-3*A*b*c^2*d^5*e^2+A*c^3*d^6*e-B*a^3*d*e^6+3*B*a^2*b*d^2*e^5-3*B*a^2*c*d^3*e^4-3*B*a*b^2*d^3*e^4+6*B*a*b*c*d^4*e^3-3*B*a*c^2*d^5*e^2+B*b^3*d^4*e^3-3*B*b^2*c*d^5*e^2+3*B*b*c^2*d^6*e-B*c^3*d^7)/e^8/(e*x+d)^8-1/2*c^2*(A*c*e+3*B*b*e-7*B*c*d)/e^8/(e*x+d)^2-1/4*(3*A*a*c^2*e^3+3*A*b^2*c*e^3-15*A*b*c^2*d*e^2+15*A*c^3*d^2*e+6*B*a*b*c*e^3-15*B*a*c^2*d*e^2+B*b^3*e^3-15*B*b^2*c*d*e^2+45*B*b*c^2*d^2*e-35*B*c^3*d^3)/e^8/(e*x+d)^4-1/6*(3*A*a^2*c*e^5+3*A*a*b^2*e^5-18*A*a*b*c*d*e^4+18*A*a*c^2*d^2*e^3-3*A*b^3*d*e^4+18*A*b^2*c*d^2*e^3-30*A*b*c^2*d^3*e^2+15*A*c^3*d^4*e+3*B*a^2*b*e^5-9*B*a^2*c*d*e^4-9*B*a*b^2*d*e^4+36*B*a*b*c*d^2*e^3-30*B*a*c^2*d^3*e^2+6*B*b^3*d^2*e^3-30*B*b^2*c*d^3*e^2+45*B*b*c^2*d^4*e-21*B*c^3*d^5)/e^8/(e*x+d)^6-1/7*(3*A*a^2*b*e^6-6*A*a^2*c*d*e^5-6*A*a*b^2*d*e^5+18*A*a*b*c*d^2*e^4-12*A*a*c^2*d^3*e^3+3*A*b^3*d^2*e^4-12*A*b^2*c*d^3*e^3+15*A*b*c^2*d^4*e^2-6*A*c^3*d^5*e+B*a^3*e^6-6*B*a^2*b*d*e^5+9*B*a^2*c*d^2*e^4+9*B*a*b^2*d^2*e^4-24*B*a*b*c*d^3*e^3+15*B*a*c^2*d^4*e^2-4*B*b^3*d^3*e^3+15*B*b^2*c*d^4*e^2-18*B*b*c^2*d^5*e+7*B*c^3*d^6)/e^8/(e*x+d)^7-1/5*(6*A*a*b*c*e^4-12*A*a*c^2*d*e^3+A*b^3*e^4-12*A*b^2*c*d*e^3+30*A*b*c^2*d^2*e^2-20*A*c^3*d^3*e+3*B*a^2*c*e^4+3*B*a*b^2*e^4-24*B*a*b*c*d*e^3+30*B*a*c^2*d^2*e^2-4*B*b^3*d*e^3+30*B*b^2*c*d^2*e^2-60*B*b*c^2*d^3*e+35*B*c^3*d^4)/e^8/(e*x+d)^5-c*(A*b*c*e^2-2*A*c^2*d*e+B*a*c*e^2+B*b^2*e^2-6*B*b*c*d*e+7*B*c^2*d^2)/e^8/(e*x+d)^3","A"
2348,1,1067,539,0.054000," ","int((B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^10,x)","-\frac{B \,c^{3}}{2 \left(e x +d \right)^{2} e^{8}}-\frac{\left(A c e +3 B b e -7 B c d \right) c^{2}}{3 \left(e x +d \right)^{3} e^{8}}-\frac{3 \left(A b c \,e^{2}-2 A \,c^{2} d e +a B c \,e^{2}+b^{2} B \,e^{2}-6 B b c d e +7 B \,c^{2} d^{2}\right) c}{4 \left(e x +d \right)^{4} e^{8}}-\frac{3 A \,a^{2} b \,e^{6}-6 A \,a^{2} c d \,e^{5}-6 A d a \,b^{2} e^{5}+18 A \,d^{2} a b c \,e^{4}-12 A \,d^{3} a \,c^{2} e^{3}+3 A \,d^{2} b^{3} e^{4}-12 A \,d^{3} b^{2} c \,e^{3}+15 A b \,c^{2} d^{4} e^{2}-6 A \,c^{3} d^{5} e +B \,a^{3} e^{6}-6 B d \,a^{2} b \,e^{5}+9 B \,a^{2} c \,d^{2} e^{4}+9 B \,d^{2} a \,b^{2} e^{4}-24 B \,d^{3} a b c \,e^{3}+15 B \,d^{4} a \,c^{2} e^{2}-4 B \,b^{3} d^{3} e^{3}+15 B \,d^{4} b^{2} c \,e^{2}-18 B \,d^{5} b \,c^{2} e +7 B \,d^{6} c^{3}}{8 \left(e x +d \right)^{8} e^{8}}-\frac{6 A a b c \,e^{4}-12 A d a \,c^{2} e^{3}+A \,b^{3} e^{4}-12 A d \,b^{2} c \,e^{3}+30 A b \,c^{2} d^{2} e^{2}-20 A \,c^{3} d^{3} e +3 B \,a^{2} c \,e^{4}+3 B a \,b^{2} e^{4}-24 B d a b c \,e^{3}+30 B \,d^{2} a \,c^{2} e^{2}-4 B \,b^{3} d \,e^{3}+30 B \,d^{2} b^{2} c \,e^{2}-60 B \,d^{3} b \,c^{2} e +35 B \,c^{3} d^{4}}{6 \left(e x +d \right)^{6} e^{8}}-\frac{3 A \,a^{2} c \,e^{5}+3 A a \,b^{2} e^{5}-18 A d a b c \,e^{4}+18 A a \,c^{2} d^{2} e^{3}-3 A d \,b^{3} e^{4}+18 A \,b^{2} c \,d^{2} e^{3}-30 A b \,c^{2} d^{3} e^{2}+15 A \,c^{3} d^{4} e +3 B \,a^{2} b \,e^{5}-9 B \,a^{2} c d \,e^{4}-9 B d a \,b^{2} e^{4}+36 B \,d^{2} a b c \,e^{3}-30 B a \,c^{2} d^{3} e^{2}+6 B \,d^{2} b^{3} e^{3}-30 B \,d^{3} b^{2} c \,e^{2}+45 B \,d^{4} b \,c^{2} e -21 B \,d^{5} c^{3}}{7 \left(e x +d \right)^{7} e^{8}}-\frac{A \,a^{3} e^{7}-3 A d \,a^{2} b \,e^{6}+3 A \,d^{2} a^{2} c \,e^{5}+3 A \,d^{2} a \,b^{2} e^{5}-6 A \,d^{3} a b c \,e^{4}+3 A a \,c^{2} d^{4} e^{3}-A \,b^{3} d^{3} e^{4}+3 A \,d^{4} b^{2} c \,e^{3}-3 A b \,c^{2} d^{5} e^{2}+A \,d^{6} c^{3} e -B \,a^{3} d \,e^{6}+3 B \,d^{2} a^{2} b \,e^{5}-3 B \,d^{3} a^{2} c \,e^{4}-3 B a \,b^{2} d^{3} e^{4}+6 B \,d^{4} a b c \,e^{3}-3 B a \,c^{2} d^{5} e^{2}+B \,d^{4} b^{3} e^{3}-3 B \,d^{5} b^{2} c \,e^{2}+3 B \,d^{6} b \,c^{2} e -B \,d^{7} c^{3}}{9 \left(e x +d \right)^{9} e^{8}}-\frac{3 A a \,c^{2} e^{3}+3 A \,b^{2} c \,e^{3}-15 A b \,c^{2} d \,e^{2}+15 A \,c^{3} d^{2} e +6 a b B c \,e^{3}-15 B d a \,c^{2} e^{2}+b^{3} B \,e^{3}-15 B d \,b^{2} c \,e^{2}+45 B b \,c^{2} d^{2} e -35 B \,d^{3} c^{3}}{5 \left(e x +d \right)^{5} e^{8}}"," ",0,"-1/8*(3*A*a^2*b*e^6-6*A*a^2*c*d*e^5-6*A*a*b^2*d*e^5+18*A*a*b*c*d^2*e^4-12*A*a*c^2*d^3*e^3+3*A*b^3*d^2*e^4-12*A*b^2*c*d^3*e^3+15*A*b*c^2*d^4*e^2-6*A*c^3*d^5*e+B*a^3*e^6-6*B*a^2*b*d*e^5+9*B*a^2*c*d^2*e^4+9*B*a*b^2*d^2*e^4-24*B*a*b*c*d^3*e^3+15*B*a*c^2*d^4*e^2-4*B*b^3*d^3*e^3+15*B*b^2*c*d^4*e^2-18*B*b*c^2*d^5*e+7*B*c^3*d^6)/e^8/(e*x+d)^8-1/2/(e*x+d)^2*B*c^3/e^8-3/4*c*(A*b*c*e^2-2*A*c^2*d*e+B*a*c*e^2+B*b^2*e^2-6*B*b*c*d*e+7*B*c^2*d^2)/e^8/(e*x+d)^4-1/6*(6*A*a*b*c*e^4-12*A*a*c^2*d*e^3+A*b^3*e^4-12*A*b^2*c*d*e^3+30*A*b*c^2*d^2*e^2-20*A*c^3*d^3*e+3*B*a^2*c*e^4+3*B*a*b^2*e^4-24*B*a*b*c*d*e^3+30*B*a*c^2*d^2*e^2-4*B*b^3*d*e^3+30*B*b^2*c*d^2*e^2-60*B*b*c^2*d^3*e+35*B*c^3*d^4)/e^8/(e*x+d)^6-1/7*(3*A*a^2*c*e^5+3*A*a*b^2*e^5-18*A*a*b*c*d*e^4+18*A*a*c^2*d^2*e^3-3*A*b^3*d*e^4+18*A*b^2*c*d^2*e^3-30*A*b*c^2*d^3*e^2+15*A*c^3*d^4*e+3*B*a^2*b*e^5-9*B*a^2*c*d*e^4-9*B*a*b^2*d*e^4+36*B*a*b*c*d^2*e^3-30*B*a*c^2*d^3*e^2+6*B*b^3*d^2*e^3-30*B*b^2*c*d^3*e^2+45*B*b*c^2*d^4*e-21*B*c^3*d^5)/e^8/(e*x+d)^7-1/9*(A*a^3*e^7-3*A*a^2*b*d*e^6+3*A*a^2*c*d^2*e^5+3*A*a*b^2*d^2*e^5-6*A*a*b*c*d^3*e^4+3*A*a*c^2*d^4*e^3-A*b^3*d^3*e^4+3*A*b^2*c*d^4*e^3-3*A*b*c^2*d^5*e^2+A*c^3*d^6*e-B*a^3*d*e^6+3*B*a^2*b*d^2*e^5-3*B*a^2*c*d^3*e^4-3*B*a*b^2*d^3*e^4+6*B*a*b*c*d^4*e^3-3*B*a*c^2*d^5*e^2+B*b^3*d^4*e^3-3*B*b^2*c*d^5*e^2+3*B*b*c^2*d^6*e-B*c^3*d^7)/e^8/(e*x+d)^9-1/5*(3*A*a*c^2*e^3+3*A*b^2*c*e^3-15*A*b*c^2*d*e^2+15*A*c^3*d^2*e+6*B*a*b*c*e^3-15*B*a*c^2*d*e^2+B*b^3*e^3-15*B*b^2*c*d*e^2+45*B*b*c^2*d^2*e-35*B*c^3*d^3)/e^8/(e*x+d)^5-1/3*c^2*(A*c*e+3*B*b*e-7*B*c*d)/e^8/(e*x+d)^3","A"
2349,1,1067,539,0.050000," ","int((B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^11,x)","-\frac{B \,c^{3}}{3 \left(e x +d \right)^{3} e^{8}}-\frac{\left(A c e +3 B b e -7 B c d \right) c^{2}}{4 \left(e x +d \right)^{4} e^{8}}-\frac{3 \left(A b c \,e^{2}-2 A \,c^{2} d e +a B c \,e^{2}+b^{2} B \,e^{2}-6 B b c d e +7 B \,c^{2} d^{2}\right) c}{5 \left(e x +d \right)^{5} e^{8}}-\frac{3 A \,a^{2} c \,e^{5}+3 A a \,b^{2} e^{5}-18 A d a b c \,e^{4}+18 A a \,c^{2} d^{2} e^{3}-3 A d \,b^{3} e^{4}+18 A \,b^{2} c \,d^{2} e^{3}-30 A b \,c^{2} d^{3} e^{2}+15 A \,c^{3} d^{4} e +3 B \,a^{2} b \,e^{5}-9 B \,a^{2} c d \,e^{4}-9 B d a \,b^{2} e^{4}+36 B \,d^{2} a b c \,e^{3}-30 B a \,c^{2} d^{3} e^{2}+6 B \,d^{2} b^{3} e^{3}-30 B \,d^{3} b^{2} c \,e^{2}+45 B \,d^{4} b \,c^{2} e -21 B \,d^{5} c^{3}}{8 \left(e x +d \right)^{8} e^{8}}-\frac{A \,a^{3} e^{7}-3 A d \,a^{2} b \,e^{6}+3 A \,d^{2} a^{2} c \,e^{5}+3 A \,d^{2} a \,b^{2} e^{5}-6 A \,d^{3} a b c \,e^{4}+3 A a \,c^{2} d^{4} e^{3}-A \,b^{3} d^{3} e^{4}+3 A \,d^{4} b^{2} c \,e^{3}-3 A b \,c^{2} d^{5} e^{2}+A \,d^{6} c^{3} e -B \,a^{3} d \,e^{6}+3 B \,d^{2} a^{2} b \,e^{5}-3 B \,d^{3} a^{2} c \,e^{4}-3 B a \,b^{2} d^{3} e^{4}+6 B \,d^{4} a b c \,e^{3}-3 B a \,c^{2} d^{5} e^{2}+B \,d^{4} b^{3} e^{3}-3 B \,d^{5} b^{2} c \,e^{2}+3 B \,d^{6} b \,c^{2} e -B \,d^{7} c^{3}}{10 \left(e x +d \right)^{10} e^{8}}-\frac{3 A a \,c^{2} e^{3}+3 A \,b^{2} c \,e^{3}-15 A b \,c^{2} d \,e^{2}+15 A \,c^{3} d^{2} e +6 a b B c \,e^{3}-15 B d a \,c^{2} e^{2}+b^{3} B \,e^{3}-15 B d \,b^{2} c \,e^{2}+45 B b \,c^{2} d^{2} e -35 B \,d^{3} c^{3}}{6 \left(e x +d \right)^{6} e^{8}}-\frac{6 A a b c \,e^{4}-12 A d a \,c^{2} e^{3}+A \,b^{3} e^{4}-12 A d \,b^{2} c \,e^{3}+30 A b \,c^{2} d^{2} e^{2}-20 A \,c^{3} d^{3} e +3 B \,a^{2} c \,e^{4}+3 B a \,b^{2} e^{4}-24 B d a b c \,e^{3}+30 B \,d^{2} a \,c^{2} e^{2}-4 B \,b^{3} d \,e^{3}+30 B \,d^{2} b^{2} c \,e^{2}-60 B \,d^{3} b \,c^{2} e +35 B \,c^{3} d^{4}}{7 \left(e x +d \right)^{7} e^{8}}-\frac{3 A \,a^{2} b \,e^{6}-6 A \,a^{2} c d \,e^{5}-6 A d a \,b^{2} e^{5}+18 A \,d^{2} a b c \,e^{4}-12 A \,d^{3} a \,c^{2} e^{3}+3 A \,d^{2} b^{3} e^{4}-12 A \,d^{3} b^{2} c \,e^{3}+15 A b \,c^{2} d^{4} e^{2}-6 A \,c^{3} d^{5} e +B \,a^{3} e^{6}-6 B d \,a^{2} b \,e^{5}+9 B \,a^{2} c \,d^{2} e^{4}+9 B \,d^{2} a \,b^{2} e^{4}-24 B \,d^{3} a b c \,e^{3}+15 B \,d^{4} a \,c^{2} e^{2}-4 B \,b^{3} d^{3} e^{3}+15 B \,d^{4} b^{2} c \,e^{2}-18 B \,d^{5} b \,c^{2} e +7 B \,d^{6} c^{3}}{9 \left(e x +d \right)^{9} e^{8}}"," ",0,"-1/8*(3*A*a^2*c*e^5+3*A*a*b^2*e^5-18*A*a*b*c*d*e^4+18*A*a*c^2*d^2*e^3-3*A*b^3*d*e^4+18*A*b^2*c*d^2*e^3-30*A*b*c^2*d^3*e^2+15*A*c^3*d^4*e+3*B*a^2*b*e^5-9*B*a^2*c*d*e^4-9*B*a*b^2*d*e^4+36*B*a*b*c*d^2*e^3-30*B*a*c^2*d^3*e^2+6*B*b^3*d^2*e^3-30*B*b^2*c*d^3*e^2+45*B*b*c^2*d^4*e-21*B*c^3*d^5)/e^8/(e*x+d)^8-1/10*(A*a^3*e^7-3*A*a^2*b*d*e^6+3*A*a^2*c*d^2*e^5+3*A*a*b^2*d^2*e^5-6*A*a*b*c*d^3*e^4+3*A*a*c^2*d^4*e^3-A*b^3*d^3*e^4+3*A*b^2*c*d^4*e^3-3*A*b*c^2*d^5*e^2+A*c^3*d^6*e-B*a^3*d*e^6+3*B*a^2*b*d^2*e^5-3*B*a^2*c*d^3*e^4-3*B*a*b^2*d^3*e^4+6*B*a*b*c*d^4*e^3-3*B*a*c^2*d^5*e^2+B*b^3*d^4*e^3-3*B*b^2*c*d^5*e^2+3*B*b*c^2*d^6*e-B*c^3*d^7)/e^8/(e*x+d)^10-1/4*c^2*(A*c*e+3*B*b*e-7*B*c*d)/e^8/(e*x+d)^4-1/6*(3*A*a*c^2*e^3+3*A*b^2*c*e^3-15*A*b*c^2*d*e^2+15*A*c^3*d^2*e+6*B*a*b*c*e^3-15*B*a*c^2*d*e^2+B*b^3*e^3-15*B*b^2*c*d*e^2+45*B*b*c^2*d^2*e-35*B*c^3*d^3)/e^8/(e*x+d)^6-1/7*(6*A*a*b*c*e^4-12*A*a*c^2*d*e^3+A*b^3*e^4-12*A*b^2*c*d*e^3+30*A*b*c^2*d^2*e^2-20*A*c^3*d^3*e+3*B*a^2*c*e^4+3*B*a*b^2*e^4-24*B*a*b*c*d*e^3+30*B*a*c^2*d^2*e^2-4*B*b^3*d*e^3+30*B*b^2*c*d^2*e^2-60*B*b*c^2*d^3*e+35*B*c^3*d^4)/e^8/(e*x+d)^7-1/9*(3*A*a^2*b*e^6-6*A*a^2*c*d*e^5-6*A*a*b^2*d*e^5+18*A*a*b*c*d^2*e^4-12*A*a*c^2*d^3*e^3+3*A*b^3*d^2*e^4-12*A*b^2*c*d^3*e^3+15*A*b*c^2*d^4*e^2-6*A*c^3*d^5*e+B*a^3*e^6-6*B*a^2*b*d*e^5+9*B*a^2*c*d^2*e^4+9*B*a*b^2*d^2*e^4-24*B*a*b*c*d^3*e^3+15*B*a*c^2*d^4*e^2-4*B*b^3*d^3*e^3+15*B*b^2*c*d^4*e^2-18*B*b*c^2*d^5*e+7*B*c^3*d^6)/e^8/(e*x+d)^9-3/5*c*(A*b*c*e^2-2*A*c^2*d*e+B*a*c*e^2+B*b^2*e^2-6*B*b*c*d*e+7*B*c^2*d^2)/e^8/(e*x+d)^5-1/3/(e*x+d)^3*B*c^3/e^8","A"
2350,1,281,121,0.046000," ","int(x*(e*x+d)^m*(c*x^2+b*x+a),x)","-\frac{\left(-c \,e^{3} m^{3} x^{3}-b \,e^{3} m^{3} x^{2}-6 c \,e^{3} m^{2} x^{3}-a \,e^{3} m^{3} x -7 b \,e^{3} m^{2} x^{2}+3 c d \,e^{2} m^{2} x^{2}-11 c \,e^{3} m \,x^{3}-8 a \,e^{3} m^{2} x +2 b d \,e^{2} m^{2} x -14 b \,e^{3} m \,x^{2}+9 c d \,e^{2} m \,x^{2}-6 c \,x^{3} e^{3}+a d \,e^{2} m^{2}-19 a \,e^{3} m x +10 b d \,e^{2} m x -8 b \,e^{3} x^{2}-6 c \,d^{2} e m x +6 c d \,e^{2} x^{2}+7 a d \,e^{2} m -12 a \,e^{3} x -2 b \,d^{2} e m +8 b d \,e^{2} x -6 c \,d^{2} e x +12 a d \,e^{2}-8 b \,d^{2} e +6 c \,d^{3}\right) \left(e x +d \right)^{m +1}}{\left(m^{4}+10 m^{3}+35 m^{2}+50 m +24\right) e^{4}}"," ",0,"-(e*x+d)^(m+1)*(-c*e^3*m^3*x^3-b*e^3*m^3*x^2-6*c*e^3*m^2*x^3-a*e^3*m^3*x-7*b*e^3*m^2*x^2+3*c*d*e^2*m^2*x^2-11*c*e^3*m*x^3-8*a*e^3*m^2*x+2*b*d*e^2*m^2*x-14*b*e^3*m*x^2+9*c*d*e^2*m*x^2-6*c*e^3*x^3+a*d*e^2*m^2-19*a*e^3*m*x+10*b*d*e^2*m*x-8*b*e^3*x^2-6*c*d^2*e*m*x+6*c*d*e^2*x^2+7*a*d*e^2*m-12*a*e^3*x-2*b*d^2*e*m+8*b*d*e^2*x-6*c*d^2*e*x+12*a*d*e^2-8*b*d^2*e+6*c*d^3)/e^4/(m^4+10*m^3+35*m^2+50*m+24)","B"
2351,1,172,95,0.040000," ","int(x*(e*x+d)^5*(c*x^2+b*x+a),x)","\frac{c \,e^{5} x^{9}}{9}+\frac{a \,d^{5} x^{2}}{2}+\frac{\left(e^{5} b +5 d \,e^{4} c \right) x^{8}}{8}+\frac{\left(e^{5} a +5 d \,e^{4} b +10 d^{2} e^{3} c \right) x^{7}}{7}+\frac{\left(5 d \,e^{4} a +10 b \,d^{2} e^{3}+10 d^{3} e^{2} c \right) x^{6}}{6}+\frac{\left(10 d^{2} e^{3} a +10 d^{3} e^{2} b +5 d^{4} e c \right) x^{5}}{5}+\frac{\left(10 d^{3} e^{2} a +5 d^{4} e b +d^{5} c \right) x^{4}}{4}+\frac{\left(5 d^{4} e a +d^{5} b \right) x^{3}}{3}"," ",0,"1/9*e^5*c*x^9+1/8*(b*e^5+5*c*d*e^4)*x^8+1/7*(a*e^5+5*b*d*e^4+10*c*d^2*e^3)*x^7+1/6*(5*a*d*e^4+10*b*d^2*e^3+10*c*d^3*e^2)*x^6+1/5*(10*a*d^2*e^3+10*b*d^3*e^2+5*c*d^4*e)*x^5+1/4*(10*a*d^3*e^2+5*b*d^4*e+c*d^5)*x^4+1/3*(5*a*d^4*e+b*d^5)*x^3+1/2*d^5*a*x^2","A"
2352,1,139,95,0.040000," ","int(x*(e*x+d)^4*(c*x^2+b*x+a),x)","\frac{c \,e^{4} x^{8}}{8}+\frac{a \,d^{4} x^{2}}{2}+\frac{\left(e^{4} b +4 c d \,e^{3}\right) x^{7}}{7}+\frac{\left(e^{4} a +4 d \,e^{3} b +6 d^{2} e^{2} c \right) x^{6}}{6}+\frac{\left(4 a d \,e^{3}+6 d^{2} e^{2} b +4 c \,d^{3} e \right) x^{5}}{5}+\frac{\left(6 a \,d^{2} e^{2}+4 d^{3} e b +c \,d^{4}\right) x^{4}}{4}+\frac{\left(4 d^{3} e a +b \,d^{4}\right) x^{3}}{3}"," ",0,"1/8*e^4*c*x^8+1/7*(b*e^4+4*c*d*e^3)*x^7+1/6*(a*e^4+4*b*d*e^3+6*c*d^2*e^2)*x^6+1/5*(4*a*d*e^3+6*b*d^2*e^2+4*c*d^3*e)*x^5+1/4*(6*a*d^2*e^2+4*b*d^3*e+c*d^4)*x^4+1/3*(4*a*d^3*e+b*d^4)*x^3+1/2*d^4*a*x^2","A"
2353,1,106,95,0.042000," ","int(x*(e*x+d)^3*(c*x^2+b*x+a),x)","\frac{c \,e^{3} x^{7}}{7}+\frac{a \,d^{3} x^{2}}{2}+\frac{\left(b \,e^{3}+3 d \,e^{2} c \right) x^{6}}{6}+\frac{\left(a \,e^{3}+3 b d \,e^{2}+3 c \,d^{2} e \right) x^{5}}{5}+\frac{\left(3 a d \,e^{2}+3 b \,d^{2} e +c \,d^{3}\right) x^{4}}{4}+\frac{\left(3 d^{2} e a +b \,d^{3}\right) x^{3}}{3}"," ",0,"1/7*e^3*c*x^7+1/6*(b*e^3+3*c*d*e^2)*x^6+1/5*(a*e^3+3*b*d*e^2+3*c*d^2*e)*x^5+1/4*(3*a*d*e^2+3*b*d^2*e+c*d^3)*x^4+1/3*(3*a*d^2*e+b*d^3)*x^3+1/2*d^3*a*x^2","A"
2354,1,73,68,0.039000," ","int(x*(e*x+d)^2*(c*x^2+b*x+a),x)","\frac{c \,e^{2} x^{6}}{6}+\frac{a \,d^{2} x^{2}}{2}+\frac{\left(b \,e^{2}+2 c d e \right) x^{5}}{5}+\frac{\left(a \,e^{2}+2 b d e +c \,d^{2}\right) x^{4}}{4}+\frac{\left(2 a d e +b \,d^{2}\right) x^{3}}{3}"," ",0,"1/6*c*e^2*x^6+1/5*(b*e^2+2*c*d*e)*x^5+1/4*(a*e^2+2*b*d*e+c*d^2)*x^4+1/3*(2*a*d*e+b*d^2)*x^3+1/2*a*d^2*x^2","A"
2355,1,40,39,0.041000," ","int(x*(e*x+d)*(c*x^2+b*x+a),x)","\frac{c e \,x^{5}}{5}+\frac{a d \,x^{2}}{2}+\frac{\left(b e +c d \right) x^{4}}{4}+\frac{\left(a e +b d \right) x^{3}}{3}"," ",0,"1/2*a*d*x^2+1/3*(a*e+b*d)*x^3+1/4*(b*e+c*d)*x^4+1/5*c*e*x^5","A"
2356,1,20,19,0.038000," ","int(x*(c*x^2+b*x+a),x)","\frac{1}{4} c \,x^{4}+\frac{1}{3} b \,x^{3}+\frac{1}{2} a \,x^{2}"," ",0,"1/2*a*x^2+1/3*b*x^3+1/4*c*x^4","A"
2357,1,95,75,0.039000," ","int(x*(c*x^2+b*x+a)/(e*x+d),x)","\frac{c \,x^{3}}{3 e}+\frac{b \,x^{2}}{2 e}-\frac{c d \,x^{2}}{2 e^{2}}-\frac{a d \ln \left(e x +d \right)}{e^{2}}+\frac{a x}{e}+\frac{b \,d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{b d x}{e^{2}}-\frac{c \,d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{c \,d^{2} x}{e^{3}}"," ",0,"1/3*c*x^3/e+1/2/e*x^2*b-1/2/e^2*c*d*x^2+1/e*a*x-1/e^2*x*b*d+1/e^3*c*d^2*x-d/e^2*ln(e*x+d)*a+d^2/e^3*ln(e*x+d)*b-d^3/e^4*ln(e*x+d)*c","A"
2358,1,108,82,0.050000," ","int(x*(c*x^2+b*x+a)/(e*x+d)^2,x)","\frac{c \,x^{2}}{2 e^{2}}+\frac{a d}{\left(e x +d \right) e^{2}}+\frac{a \ln \left(e x +d \right)}{e^{2}}-\frac{b \,d^{2}}{\left(e x +d \right) e^{3}}-\frac{2 b d \ln \left(e x +d \right)}{e^{3}}+\frac{b x}{e^{2}}+\frac{c \,d^{3}}{\left(e x +d \right) e^{4}}+\frac{3 c \,d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{2 c d x}{e^{3}}"," ",0,"1/2*c*x^2/e^2+1/e^2*b*x-2/e^3*x*c*d+d/e^2/(e*x+d)*a-d^2/e^3/(e*x+d)*b+d^3/e^4/(e*x+d)*c+1/e^2*ln(e*x+d)*a-2/e^3*ln(e*x+d)*b*d+3/e^4*ln(e*x+d)*c*d^2","A"
2359,1,121,85,0.049000," ","int(x*(c*x^2+b*x+a)/(e*x+d)^3,x)","\frac{a d}{2 \left(e x +d \right)^{2} e^{2}}-\frac{b \,d^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{c \,d^{3}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{a}{\left(e x +d \right) e^{2}}+\frac{2 b d}{\left(e x +d \right) e^{3}}+\frac{b \ln \left(e x +d \right)}{e^{3}}-\frac{3 c \,d^{2}}{\left(e x +d \right) e^{4}}-\frac{3 c d \ln \left(e x +d \right)}{e^{4}}+\frac{c x}{e^{3}}"," ",0,"c*x/e^3-1/e^2/(e*x+d)*a+2/e^3/(e*x+d)*b*d-3/e^4/(e*x+d)*c*d^2+1/2*d/e^2/(e*x+d)^2*a-1/2*d^2/e^3/(e*x+d)^2*b+1/2*d^3/e^4/(e*x+d)^2*c+1/e^3*ln(e*x+d)*b-3/e^4*ln(e*x+d)*c*d","A"
2360,1,128,91,0.050000," ","int(x*(c*x^2+b*x+a)/(e*x+d)^4,x)","\frac{a d}{3 \left(e x +d \right)^{3} e^{2}}-\frac{b \,d^{2}}{3 \left(e x +d \right)^{3} e^{3}}+\frac{c \,d^{3}}{3 \left(e x +d \right)^{3} e^{4}}-\frac{a}{2 \left(e x +d \right)^{2} e^{2}}+\frac{b d}{\left(e x +d \right)^{2} e^{3}}-\frac{3 c \,d^{2}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{b}{\left(e x +d \right) e^{3}}+\frac{3 c d}{\left(e x +d \right) e^{4}}+\frac{c \ln \left(e x +d \right)}{e^{4}}"," ",0,"-1/e^3/(e*x+d)*b+3/e^4/(e*x+d)*c*d-1/2/e^2/(e*x+d)^2*a+1/e^3/(e*x+d)^2*b*d-3/2/e^4/(e*x+d)^2*c*d^2+c*ln(e*x+d)/e^4+1/3*d/e^2/(e*x+d)^3*a-1/3*d^2/e^3/(e*x+d)^3*b+1/3*d^3/e^4/(e*x+d)^3*c","A"
2361,1,93,94,0.053000," ","int(x*(c*x^2+b*x+a)/(e*x+d)^5,x)","-\frac{c}{\left(e x +d \right) e^{4}}+\frac{\left(a \,e^{2}-b d e +c \,d^{2}\right) d}{4 \left(e x +d \right)^{4} e^{4}}-\frac{b e -3 c d}{2 \left(e x +d \right)^{2} e^{4}}-\frac{a \,e^{2}-2 b d e +3 c \,d^{2}}{3 \left(e x +d \right)^{3} e^{4}}"," ",0,"-c/e^4/(e*x+d)-1/2*(b*e-3*c*d)/e^4/(e*x+d)^2+1/4*d*(a*e^2-b*d*e+c*d^2)/e^4/(e*x+d)^4-1/3*(a*e^2-2*b*d*e+3*c*d^2)/e^4/(e*x+d)^3","A"
2362,1,93,94,0.049000," ","int(x*(c*x^2+b*x+a)/(e*x+d)^6,x)","-\frac{c}{2 \left(e x +d \right)^{2} e^{4}}+\frac{\left(a \,e^{2}-b d e +c \,d^{2}\right) d}{5 \left(e x +d \right)^{5} e^{4}}-\frac{a \,e^{2}-2 b d e +3 c \,d^{2}}{4 \left(e x +d \right)^{4} e^{4}}-\frac{b e -3 c d}{3 \left(e x +d \right)^{3} e^{4}}"," ",0,"-1/2*c/e^4/(e*x+d)^2-1/4*(a*e^2-2*b*d*e+3*c*d^2)/e^4/(e*x+d)^4+1/5*d*(a*e^2-b*d*e+c*d^2)/e^4/(e*x+d)^5-1/3*(b*e-3*c*d)/e^4/(e*x+d)^3","A"
2363,1,93,94,0.049000," ","int(x*(c*x^2+b*x+a)/(e*x+d)^7,x)","-\frac{c}{3 \left(e x +d \right)^{3} e^{4}}+\frac{\left(a \,e^{2}-b d e +c \,d^{2}\right) d}{6 \left(e x +d \right)^{6} e^{4}}-\frac{b e -3 c d}{4 \left(e x +d \right)^{4} e^{4}}-\frac{a \,e^{2}-2 b d e +3 c \,d^{2}}{5 \left(e x +d \right)^{5} e^{4}}"," ",0,"-1/4*(b*e-3*c*d)/e^4/(e*x+d)^4+1/6*d*(a*e^2-b*d*e+c*d^2)/e^4/(e*x+d)^6-1/5*(a*e^2-2*b*d*e+3*c*d^2)/e^4/(e*x+d)^5-1/3*c/e^4/(e*x+d)^3","A"
2364,1,946,347,0.049000," ","int((B*x+A)*(e*x+d)^3/(c*x^2+b*x+a),x)","\frac{B \,e^{3} x^{3}}{3 c}+\frac{3 A a b \,e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}-\frac{6 A a d \,e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{A \,b^{3} e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}+\frac{3 A \,b^{2} d \,e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}-\frac{3 A b \,d^{2} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}+\frac{A \,e^{3} x^{2}}{2 c}+\frac{2 A \,d^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}}+\frac{2 B \,a^{2} e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}-\frac{4 B a \,b^{2} e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}+\frac{9 B a b d \,e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}-\frac{6 B a \,d^{2} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}+\frac{B \,b^{4} e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{4}}-\frac{3 B \,b^{3} d \,e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}+\frac{3 B \,b^{2} d^{2} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}-\frac{B b \,d^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{B b \,e^{3} x^{2}}{2 c^{2}}+\frac{3 B d \,e^{2} x^{2}}{2 c}-\frac{A a \,e^{3} \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}+\frac{A \,b^{2} e^{3} \ln \left(c \,x^{2}+b x +a \right)}{2 c^{3}}-\frac{3 A b d \,e^{2} \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}-\frac{A b \,e^{3} x}{c^{2}}+\frac{3 A \,d^{2} e \ln \left(c \,x^{2}+b x +a \right)}{2 c}+\frac{3 A d \,e^{2} x}{c}+\frac{B a b \,e^{3} \ln \left(c \,x^{2}+b x +a \right)}{c^{3}}-\frac{3 B a d \,e^{2} \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}-\frac{B a \,e^{3} x}{c^{2}}-\frac{B \,b^{3} e^{3} \ln \left(c \,x^{2}+b x +a \right)}{2 c^{4}}+\frac{3 B \,b^{2} d \,e^{2} \ln \left(c \,x^{2}+b x +a \right)}{2 c^{3}}+\frac{B \,b^{2} e^{3} x}{c^{3}}-\frac{3 B b \,d^{2} e \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}-\frac{3 B b d \,e^{2} x}{c^{2}}+\frac{B \,d^{3} \ln \left(c \,x^{2}+b x +a \right)}{2 c}+\frac{3 B \,d^{2} e x}{c}"," ",0,"1/2/c*ln(c*x^2+b*x+a)*B*d^3+2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A*d^3+1/2*e^3/c*A*x^2+1/2/c^3*ln(c*x^2+b*x+a)*A*b^2*e^3-1/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A*b^3*e^3+1/c^4/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^4*B*e^3-1/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*B*d^3-3/2/c^2*ln(c*x^2+b*x+a)*A*b*d*e^2+1/c^3*ln(c*x^2+b*x+a)*a*b*B*e^3-3/2/c^2*ln(c*x^2+b*x+a)*B*d*a*e^2+3/2/c^3*ln(c*x^2+b*x+a)*B*d*b^2*e^2+9/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*B*a*b*d*e^2+3*e^2/c*A*x*d+e^3/c^3*B*b^2*x+3*e/c*B*d^2*x-1/2/c^2*ln(c*x^2+b*x+a)*A*a*e^3-1/2/c^4*ln(c*x^2+b*x+a)*b^3*B*e^3+3/2/c*ln(c*x^2+b*x+a)*A*d^2*e-1/2*e^3/c^2*B*x^2*b+3/2*e^2/c*B*x^2*d-e^3/c^2*B*x*a-e^3/c^2*A*b*x-3/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*B*d*e^2+3/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*B*d^2*e-3*e^2/c^2*B*b*d*x-3/2/c^2*ln(c*x^2+b*x+a)*B*b*d^2*e+2/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*B*a^2*e^3+3/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*A*d*e^2+3/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A*a*b*e^3-3/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*A*d^2*e-6/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A*a*d*e^2-4/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*B*a*b^2*e^3-6/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*B*a*d^2*e+1/3*B/c*e^3*x^3","B"
2365,1,543,197,0.048000," ","int((B*x+A)*(e*x+d)^2/(c*x^2+b*x+a),x)","-\frac{2 A a \,e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}+\frac{A \,b^{2} e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}-\frac{2 A b d e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}+\frac{2 A \,d^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}}+\frac{3 B a b \,e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}-\frac{4 B a d e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{B \,b^{3} e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}+\frac{2 B \,b^{2} d e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}-\frac{B b \,d^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}+\frac{B \,e^{2} x^{2}}{2 c}-\frac{A b \,e^{2} \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}+\frac{A d e \ln \left(c \,x^{2}+b x +a \right)}{c}+\frac{A \,e^{2} x}{c}-\frac{B a \,e^{2} \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}+\frac{B \,b^{2} e^{2} \ln \left(c \,x^{2}+b x +a \right)}{2 c^{3}}-\frac{B b d e \ln \left(c \,x^{2}+b x +a \right)}{c^{2}}-\frac{B b \,e^{2} x}{c^{2}}+\frac{B \,d^{2} \ln \left(c \,x^{2}+b x +a \right)}{2 c}+\frac{2 B d e x}{c}"," ",0,"1/2*B/c*e^2*x^2+1/c*e^2*A*x-1/c^2*e^2*B*b*x+2/c*e*B*d*x-1/2/c^2*ln(c*x^2+b*x+a)*A*b*e^2+1/c*ln(c*x^2+b*x+a)*A*d*e-1/2/c^2*ln(c*x^2+b*x+a)*a*B*e^2+1/2/c^3*ln(c*x^2+b*x+a)*b^2*B*e^2-1/c^2*ln(c*x^2+b*x+a)*B*b*d*e+1/2/c*ln(c*x^2+b*x+a)*B*d^2-2/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A*a*e^2+2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A*d^2+3/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*B*a*b*e^2-4/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*B*a*d*e+1/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A*b^2*e^2-2/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A*b*d*e-1/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*B*e^2+2/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*B*b^2*d*e-1/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*B*b*d^2","B"
2366,1,261,102,0.047000," ","int((B*x+A)*(e*x+d)/(c*x^2+b*x+a),x)","-\frac{A b e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}+\frac{2 A d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}}-\frac{2 B a e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}+\frac{B \,b^{2} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}-\frac{B b d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}+\frac{A e \ln \left(c \,x^{2}+b x +a \right)}{2 c}-\frac{B b e \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}+\frac{B d \ln \left(c \,x^{2}+b x +a \right)}{2 c}+\frac{B e x}{c}"," ",0,"B/c*e*x+1/2/c*ln(c*x^2+b*x+a)*A*e-1/2/c^2*ln(c*x^2+b*x+a)*B*b*e+1/2/c*ln(c*x^2+b*x+a)*B*d+2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A*d-2/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*B*a*e-1/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A*b*e+1/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*B*e-1/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*B*b*d","B"
2367,1,93,58,0.043000," ","int((B*x+A)/(c*x^2+b*x+a),x)","\frac{2 A \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}}-\frac{B b \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}+\frac{B \ln \left(c \,x^{2}+b x +a \right)}{2 c}"," ",0,"1/2*B*ln(c*x^2+b*x+a)/c+2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A-1/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*B*b/c","A"
2368,1,343,140,0.051000," ","int((B*x+A)/(e*x+d)/(c*x^2+b*x+a),x)","-\frac{A b e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{4 a c -b^{2}}}+\frac{2 A c d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{4 a c -b^{2}}}+\frac{2 B a e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{4 a c -b^{2}}}-\frac{B b d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{4 a c -b^{2}}}+\frac{A e \ln \left(e x +d \right)}{a \,e^{2}-b d e +c \,d^{2}}-\frac{A e \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)}-\frac{B d \ln \left(e x +d \right)}{a \,e^{2}-b d e +c \,d^{2}}+\frac{B d \ln \left(c \,x^{2}+b x +a \right)}{2 a \,e^{2}-2 b d e +2 c \,d^{2}}"," ",0,"1/(a*e^2-b*d*e+c*d^2)*ln(e*x+d)*A*e-1/(a*e^2-b*d*e+c*d^2)*ln(e*x+d)*B*d-1/2/(a*e^2-b*d*e+c*d^2)*ln(c*x^2+b*x+a)*A*e+1/2/(a*e^2-b*d*e+c*d^2)*ln(c*x^2+b*x+a)*B*d-1/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A*b*e+2/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A*c*d+2/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*B*a*e-1/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*B*b*d","B"
2369,1,729,249,0.059000," ","int((B*x+A)/(e*x+d)^2/(c*x^2+b*x+a),x)","-\frac{2 A a c \,e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}+\frac{A \,b^{2} e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}-\frac{2 A b c d e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}+\frac{2 A \,c^{2} d^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}-\frac{B a b \,e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}+\frac{4 B a c d e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}-\frac{B b c \,d^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}-\frac{A b \,e^{2} \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}+\frac{A b \,e^{2} \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}+\frac{2 A c d e \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}-\frac{A c d e \ln \left(c \,x^{2}+b x +a \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}+\frac{B a \,e^{2} \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}-\frac{B a \,e^{2} \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}-\frac{B c \,d^{2} \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}+\frac{B c \,d^{2} \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}-\frac{A e}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(e x +d \right)}+\frac{B d}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(e x +d \right)}"," ",0,"-1/(a*e^2-b*d*e+c*d^2)/(e*x+d)*A*e+1/(a*e^2-b*d*e+c*d^2)/(e*x+d)*B*d-1/(a*e^2-b*d*e+c*d^2)^2*ln(e*x+d)*A*b*e^2+2/(a*e^2-b*d*e+c*d^2)^2*ln(e*x+d)*A*c*d*e+1/(a*e^2-b*d*e+c*d^2)^2*ln(e*x+d)*B*a*e^2-1/(a*e^2-b*d*e+c*d^2)^2*ln(e*x+d)*B*c*d^2+1/2/(a*e^2-b*d*e+c*d^2)^2*ln(c*x^2+b*x+a)*A*b*e^2-1/(a*e^2-b*d*e+c*d^2)^2*c*ln(c*x^2+b*x+a)*A*d*e-1/2/(a*e^2-b*d*e+c*d^2)^2*ln(c*x^2+b*x+a)*a*B*e^2+1/2/(a*e^2-b*d*e+c*d^2)^2*c*ln(c*x^2+b*x+a)*B*d^2-2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A*a*e^2*c+1/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A*b^2*e^2-2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A*b*c*d*e+2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A*c^2*d^2-1/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*B*a*b*e^2+4/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*B*a*c*d*e-1/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*B*b*c*d^2","B"
2370,1,1339,405,0.062000," ","int((B*x+A)/(e*x+d)^3/(c*x^2+b*x+a),x)","\frac{3 A a b c \,e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}-\frac{6 A a \,c^{2} d \,e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}-\frac{A \,b^{3} e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}+\frac{3 A \,b^{2} c d \,e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}-\frac{3 A b \,c^{2} d^{2} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}+\frac{2 A \,c^{3} d^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}-\frac{2 B \,a^{2} c \,e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}+\frac{B a \,b^{2} e^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}-\frac{3 B a b c d \,e^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}+\frac{6 B a \,c^{2} d^{2} e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}-\frac{B b \,c^{2} d^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}-\frac{A a c \,e^{3} \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{A a c \,e^{3} \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{A \,b^{2} e^{3} \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{A \,b^{2} e^{3} \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{3 A b c d \,e^{2} \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{3 A b c d \,e^{2} \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{3 A \,c^{2} d^{2} e \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{3 A \,c^{2} d^{2} e \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{B a b \,e^{3} \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{B a b \,e^{3} \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{3 B a c d \,e^{2} \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{3 B a c d \,e^{2} \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{B \,c^{2} d^{3} \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{B \,c^{2} d^{3} \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{A b \,e^{2}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(e x +d \right)}-\frac{2 A c d e}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(e x +d \right)}-\frac{B a \,e^{2}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(e x +d \right)}+\frac{B c \,d^{2}}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(e x +d \right)}-\frac{A e}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(e x +d \right)^{2}}+\frac{B d}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(e x +d \right)^{2}}"," ",0,"-3/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*B*a*b*c*d*e^2-3/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A*b*c^2*d^2*e+6/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*B*a*c^2*d^2*e-6/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A*a*c^2*d*e^2+3/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A*b^2*c*d*e^2+3/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A*a*b*c*e^3+1/2/(a*e^2-b*d*e+c*d^2)^3*c*ln(c*x^2+b*x+a)*A*a*e^3-3/2/(a*e^2-b*d*e+c*d^2)^3*c^2*ln(c*x^2+b*x+a)*A*d^2*e+1/2/(a*e^2-b*d*e+c*d^2)^3*ln(c*x^2+b*x+a)*a*b*B*e^3-1/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A*b^3*e^3+1/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*A*b^2*e^3-1/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*B*c^2*d^3+1/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)*B*c*d^2-1/2/(a*e^2-b*d*e+c*d^2)^3*ln(c*x^2+b*x+a)*A*b^2*e^3+1/2/(a*e^2-b*d*e+c*d^2)^3*c^2*ln(c*x^2+b*x+a)*B*d^3+1/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)*A*b*e^2-1/2/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2*A*e+1/2/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2*B*d-1/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)*B*a*e^2-2/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)*A*c*d*e-1/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*A*a*c*e^3+3/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*A*c^2*d^2*e-1/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*B*a*b*e^3+2/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A*c^3*d^3+1/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*B*a*b^2*e^3-1/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*B*b*c^2*d^3+3/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*B*a*c*d*e^2-3/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*A*b*c*d*e^2-2/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*B*a^2*c*e^3+3/2/(a*e^2-b*d*e+c*d^2)^3*c*ln(c*x^2+b*x+a)*A*b*d*e^2-3/2/(a*e^2-b*d*e+c*d^2)^3*c*ln(c*x^2+b*x+a)*B*d*a*e^2","B"
2371,1,2221,533,0.066000," ","int((e*x+d)^4*(g*x+f)/(c*x^2+b*x+a)^3,x)","-\frac{30 a^{2} b \,e^{4} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}\, c}+\frac{48 a^{2} d \,e^{3} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{12 a^{2} e^{4} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{10 a \,b^{3} e^{4} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}\, c^{2}}-\frac{36 a b \,d^{2} e^{2} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}-\frac{24 a b d \,e^{3} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{16 a c \,d^{3} e g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{24 a c \,d^{2} e^{2} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}-\frac{b^{5} e^{4} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}\, c^{3}}+\frac{8 b^{2} d^{3} e g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{12 b^{2} d^{2} e^{2} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}-\frac{6 b c \,d^{4} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}-\frac{24 b c \,d^{3} e f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{12 c^{2} d^{4} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{8 a^{2} e^{4} g \ln \left(c \,x^{2}+b x +a \right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c}-\frac{4 a \,b^{2} e^{4} g \ln \left(c \,x^{2}+b x +a \right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c^{2}}+\frac{b^{4} e^{4} g \ln \left(c \,x^{2}+b x +a \right)}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c^{3}}+\frac{\frac{\left(25 a^{2} b \,c^{2} e^{4} g -40 a^{2} c^{3} d \,e^{3} g -10 a^{2} c^{3} e^{4} f -15 a \,b^{3} c \,e^{4} g +32 a \,b^{2} c^{2} d \,e^{3} g +8 a \,b^{2} c^{2} e^{4} f -18 a b \,c^{3} d^{2} e^{2} g -12 a b \,c^{3} d \,e^{3} f +8 a \,c^{4} d^{3} e g +12 a \,c^{4} d^{2} e^{2} f +2 b^{5} e^{4} g -4 b^{4} c d \,e^{3} g -b^{4} c \,e^{4} f +4 b^{2} c^{3} d^{3} e g +6 b^{2} c^{3} d^{2} e^{2} f -3 b \,c^{4} d^{4} g -12 b \,c^{4} d^{3} e f +6 c^{5} d^{4} f \right) x^{3}}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c^{2}}+\frac{\left(32 a^{3} c^{3} e^{4} g +11 a^{2} b^{2} c^{2} e^{4} g +8 a^{2} b \,c^{3} d \,e^{3} g +2 a^{2} b \,c^{3} e^{4} f -96 a^{2} c^{4} d^{2} e^{2} g -64 a^{2} c^{4} d \,e^{3} f -19 a \,b^{4} c \,e^{4} g +32 a \,b^{3} c^{2} d \,e^{3} g +8 a \,b^{3} c^{2} e^{4} f -6 a \,b^{2} c^{3} d^{2} e^{2} g -4 a \,b^{2} c^{3} d \,e^{3} f +24 a b \,c^{4} d^{3} e g +36 a b \,c^{4} d^{2} e^{2} f +3 b^{6} e^{4} g -4 b^{5} c d \,e^{3} g -b^{5} c \,e^{4} f -6 b^{4} c^{2} d^{2} e^{2} g -4 b^{4} c^{2} d \,e^{3} f +12 b^{3} c^{3} d^{3} e g +18 b^{3} c^{3} d^{2} e^{2} f -9 b^{2} c^{4} d^{4} g -36 b^{2} c^{4} d^{3} e f +18 b \,c^{5} d^{4} f \right) x^{2}}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c^{3}}+\frac{\left(31 a^{3} b \,c^{2} e^{4} g -24 a^{3} c^{3} d \,e^{3} g -6 a^{3} c^{3} e^{4} f -22 a^{2} b^{3} c \,e^{4} g +40 a^{2} b^{2} c^{2} d \,e^{3} g +10 a^{2} b^{2} c^{2} e^{4} f -30 a^{2} b \,c^{3} d^{2} e^{2} g -20 a^{2} b \,c^{3} d \,e^{3} f -8 a^{2} c^{4} d^{3} e g -12 a^{2} c^{4} d^{2} e^{2} f +3 a \,b^{5} e^{4} g -4 a \,b^{4} c d \,e^{3} g -a \,b^{4} c \,e^{4} f -6 a \,b^{3} c^{2} d^{2} e^{2} g -4 a \,b^{3} c^{2} d \,e^{3} f +20 a \,b^{2} c^{3} d^{3} e g +30 a \,b^{2} c^{3} d^{2} e^{2} f -5 a b \,c^{4} d^{4} g -20 a b \,c^{4} d^{3} e f +10 a \,c^{5} d^{4} f -b^{3} c^{3} d^{4} g -4 b^{3} c^{3} d^{3} e f +2 b^{2} c^{4} d^{4} f \right) x}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c^{3}}+\frac{24 a^{4} c^{2} e^{4} g -21 a^{3} b^{2} c \,e^{4} g +40 a^{3} b \,c^{2} d \,e^{3} g +10 a^{3} b \,c^{2} e^{4} f -48 a^{3} c^{3} d^{2} e^{2} g -32 a^{3} c^{3} d \,e^{3} f +3 a^{2} b^{4} e^{4} g -4 a^{2} b^{3} c d \,e^{3} g -a^{2} b^{3} c \,e^{4} f -6 a^{2} b^{2} c^{2} d^{2} e^{2} g -4 a^{2} b^{2} c^{2} d \,e^{3} f +24 a^{2} b \,c^{3} d^{3} e g +36 a^{2} b \,c^{3} d^{2} e^{2} f -8 a^{2} c^{4} d^{4} g -32 a^{2} c^{4} d^{3} e f -a \,b^{2} c^{3} d^{4} g -4 a \,b^{2} c^{3} d^{3} e f +10 a b \,c^{4} d^{4} f -b^{3} c^{3} d^{4} f}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c^{3}}}{\left(c \,x^{2}+b x +a \right)^{2}}"," ",0,"((25*a^2*b*c^2*e^4*g-40*a^2*c^3*d*e^3*g-10*a^2*c^3*e^4*f-15*a*b^3*c*e^4*g+32*a*b^2*c^2*d*e^3*g+8*a*b^2*c^2*e^4*f-18*a*b*c^3*d^2*e^2*g-12*a*b*c^3*d*e^3*f+8*a*c^4*d^3*e*g+12*a*c^4*d^2*e^2*f+2*b^5*e^4*g-4*b^4*c*d*e^3*g-b^4*c*e^4*f+4*b^2*c^3*d^3*e*g+6*b^2*c^3*d^2*e^2*f-3*b*c^4*d^4*g-12*b*c^4*d^3*e*f+6*c^5*d^4*f)/c^2/(16*a^2*c^2-8*a*b^2*c+b^4)*x^3+1/2*(32*a^3*c^3*e^4*g+11*a^2*b^2*c^2*e^4*g+8*a^2*b*c^3*d*e^3*g+2*a^2*b*c^3*e^4*f-96*a^2*c^4*d^2*e^2*g-64*a^2*c^4*d*e^3*f-19*a*b^4*c*e^4*g+32*a*b^3*c^2*d*e^3*g+8*a*b^3*c^2*e^4*f-6*a*b^2*c^3*d^2*e^2*g-4*a*b^2*c^3*d*e^3*f+24*a*b*c^4*d^3*e*g+36*a*b*c^4*d^2*e^2*f+3*b^6*e^4*g-4*b^5*c*d*e^3*g-b^5*c*e^4*f-6*b^4*c^2*d^2*e^2*g-4*b^4*c^2*d*e^3*f+12*b^3*c^3*d^3*e*g+18*b^3*c^3*d^2*e^2*f-9*b^2*c^4*d^4*g-36*b^2*c^4*d^3*e*f+18*b*c^5*d^4*f)/(16*a^2*c^2-8*a*b^2*c+b^4)/c^3*x^2+(31*a^3*b*c^2*e^4*g-24*a^3*c^3*d*e^3*g-6*a^3*c^3*e^4*f-22*a^2*b^3*c*e^4*g+40*a^2*b^2*c^2*d*e^3*g+10*a^2*b^2*c^2*e^4*f-30*a^2*b*c^3*d^2*e^2*g-20*a^2*b*c^3*d*e^3*f-8*a^2*c^4*d^3*e*g-12*a^2*c^4*d^2*e^2*f+3*a*b^5*e^4*g-4*a*b^4*c*d*e^3*g-a*b^4*c*e^4*f-6*a*b^3*c^2*d^2*e^2*g-4*a*b^3*c^2*d*e^3*f+20*a*b^2*c^3*d^3*e*g+30*a*b^2*c^3*d^2*e^2*f-5*a*b*c^4*d^4*g-20*a*b*c^4*d^3*e*f+10*a*c^5*d^4*f-b^3*c^3*d^4*g-4*b^3*c^3*d^3*e*f+2*b^2*c^4*d^4*f)/(16*a^2*c^2-8*a*b^2*c+b^4)/c^3*x+1/2/c^3*(24*a^4*c^2*e^4*g-21*a^3*b^2*c*e^4*g+40*a^3*b*c^2*d*e^3*g+10*a^3*b*c^2*e^4*f-48*a^3*c^3*d^2*e^2*g-32*a^3*c^3*d*e^3*f+3*a^2*b^4*e^4*g-4*a^2*b^3*c*d*e^3*g-a^2*b^3*c*e^4*f-6*a^2*b^2*c^2*d^2*e^2*g-4*a^2*b^2*c^2*d*e^3*f+24*a^2*b*c^3*d^3*e*g+36*a^2*b*c^3*d^2*e^2*f-8*a^2*c^4*d^4*g-32*a^2*c^4*d^3*e*f-a*b^2*c^3*d^4*g-4*a*b^2*c^3*d^3*e*f+10*a*b*c^4*d^4*f-b^3*c^3*d^4*f)/(16*a^2*c^2-8*a*b^2*c+b^4))/(c*x^2+b*x+a)^2+8/c/(16*a^2*c^2-8*a*b^2*c+b^4)*ln(c*x^2+b*x+a)*a^2*e^4*g-4/c^2/(16*a^2*c^2-8*a*b^2*c+b^4)*ln(c*x^2+b*x+a)*a*b^2*e^4*g+1/2/c^3/(16*a^2*c^2-8*a*b^2*c+b^4)*ln(c*x^2+b*x+a)*b^4*e^4*g-30/c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*b*e^4*g+48/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*d*e^3*g+12/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*e^4*f+10/c^2/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^3*e^4*g-36/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*d^2*e^2*g-24/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*d*e^3*f+16*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*d^3*e*g+24*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*d^2*e^2*f+8/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*d^3*e*g+12/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*d^2*e^2*f-6*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*d^4*g-24*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*d^3*e*f+12*c^2/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*d^4*f-1/c^3/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^5*e^4*g","B"
2372,1,1458,187,0.062000," ","int((e*x+d)^3*(g*x+f)/(c*x^2+b*x+a)^3,x)","\frac{12 a^{2} e^{3} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}-\frac{18 a b d \,e^{2} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}-\frac{6 a b \,e^{3} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{12 a c \,d^{2} e g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{12 a c d \,e^{2} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{6 b^{2} d^{2} e g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{6 b^{2} d \,e^{2} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}-\frac{6 b c \,d^{3} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}-\frac{18 b c \,d^{2} e f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{12 c^{2} d^{3} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{-\frac{\left(10 a^{2} c^{2} e^{3} g -8 a \,b^{2} c \,e^{3} g +9 a b \,c^{2} d \,e^{2} g +3 a b \,c^{2} e^{3} f -6 a \,c^{3} d^{2} e g -6 a \,c^{3} d \,e^{2} f +b^{4} e^{3} g -3 b^{2} c^{2} d^{2} e g -3 b^{2} c^{2} d \,e^{2} f +3 b \,c^{3} d^{3} g +9 b \,c^{3} d^{2} e f -6 c^{4} d^{3} f \right) x^{3}}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c}+\frac{\left(2 a^{2} b \,c^{2} e^{3} g -48 a^{2} c^{3} d \,e^{2} g -16 a^{2} c^{3} e^{3} f +8 a \,b^{3} c \,e^{3} g -3 a \,b^{2} c^{2} d \,e^{2} g -a \,b^{2} c^{2} e^{3} f +18 a b \,c^{3} d^{2} e g +18 a b \,c^{3} d \,e^{2} f -b^{5} e^{3} g -3 b^{4} c d \,e^{2} g -b^{4} c \,e^{3} f +9 b^{3} c^{2} d^{2} e g +9 b^{3} c^{2} d \,e^{2} f -9 b^{2} c^{3} d^{3} g -27 b^{2} c^{3} d^{2} e f +18 b \,c^{4} d^{3} f \right) x^{2}}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c^{2}}-\frac{\left(6 a^{3} c^{2} e^{3} g -10 a^{2} b^{2} c \,e^{3} g +15 a^{2} b \,c^{2} d \,e^{2} g +5 a^{2} b \,c^{2} e^{3} f +6 a^{2} c^{3} d^{2} e g +6 a^{2} c^{3} d \,e^{2} f +a \,b^{4} e^{3} g +3 a \,b^{3} c d \,e^{2} g +a \,b^{3} c \,e^{3} f -15 a \,b^{2} c^{2} d^{2} e g -15 a \,b^{2} c^{2} d \,e^{2} f +5 a b \,c^{3} d^{3} g +15 a b \,c^{3} d^{2} e f -10 a \,c^{4} d^{3} f +b^{3} c^{2} d^{3} g +3 b^{3} c^{2} d^{2} e f -2 b^{2} c^{3} d^{3} f \right) x}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c^{2}}+\frac{10 a^{3} b c \,e^{3} g -24 a^{3} c^{2} d \,e^{2} g -8 a^{3} c^{2} e^{3} f -a^{2} b^{3} e^{3} g -3 a^{2} b^{2} c d \,e^{2} g -a^{2} b^{2} c \,e^{3} f +18 a^{2} b \,c^{2} d^{2} e g +18 a^{2} b \,c^{2} d \,e^{2} f -8 a^{2} c^{3} d^{3} g -24 a^{2} c^{3} d^{2} e f -a \,b^{2} c^{2} d^{3} g -3 a \,b^{2} c^{2} d^{2} e f +10 a b \,c^{3} d^{3} f -b^{3} c^{2} d^{3} f}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c^{2}}}{\left(c \,x^{2}+b x +a \right)^{2}}"," ",0,"(-(10*a^2*c^2*e^3*g-8*a*b^2*c*e^3*g+9*a*b*c^2*d*e^2*g+3*a*b*c^2*e^3*f-6*a*c^3*d^2*e*g-6*a*c^3*d*e^2*f+b^4*e^3*g-3*b^2*c^2*d^2*e*g-3*b^2*c^2*d*e^2*f+3*b*c^3*d^3*g+9*b*c^3*d^2*e*f-6*c^4*d^3*f)/c/(16*a^2*c^2-8*a*b^2*c+b^4)*x^3+1/2*(2*a^2*b*c^2*e^3*g-48*a^2*c^3*d*e^2*g-16*a^2*c^3*e^3*f+8*a*b^3*c*e^3*g-3*a*b^2*c^2*d*e^2*g-a*b^2*c^2*e^3*f+18*a*b*c^3*d^2*e*g+18*a*b*c^3*d*e^2*f-b^5*e^3*g-3*b^4*c*d*e^2*g-b^4*c*e^3*f+9*b^3*c^2*d^2*e*g+9*b^3*c^2*d*e^2*f-9*b^2*c^3*d^3*g-27*b^2*c^3*d^2*e*f+18*b*c^4*d^3*f)/(16*a^2*c^2-8*a*b^2*c+b^4)/c^2*x^2-(6*a^3*c^2*e^3*g-10*a^2*b^2*c*e^3*g+15*a^2*b*c^2*d*e^2*g+5*a^2*b*c^2*e^3*f+6*a^2*c^3*d^2*e*g+6*a^2*c^3*d*e^2*f+a*b^4*e^3*g+3*a*b^3*c*d*e^2*g+a*b^3*c*e^3*f-15*a*b^2*c^2*d^2*e*g-15*a*b^2*c^2*d*e^2*f+5*a*b*c^3*d^3*g+15*a*b*c^3*d^2*e*f-10*a*c^4*d^3*f+b^3*c^2*d^3*g+3*b^3*c^2*d^2*e*f-2*b^2*c^3*d^3*f)/(16*a^2*c^2-8*a*b^2*c+b^4)/c^2*x+1/2/c^2*(10*a^3*b*c*e^3*g-24*a^3*c^2*d*e^2*g-8*a^3*c^2*e^3*f-a^2*b^3*e^3*g-3*a^2*b^2*c*d*e^2*g-a^2*b^2*c*e^3*f+18*a^2*b*c^2*d^2*e*g+18*a^2*b*c^2*d*e^2*f-8*a^2*c^3*d^3*g-24*a^2*c^3*d^2*e*f-a*b^2*c^2*d^3*g-3*a*b^2*c^2*d^2*e*f+10*a*b*c^3*d^3*f-b^3*c^2*d^3*f)/(16*a^2*c^2-8*a*b^2*c+b^4))/(c*x^2+b*x+a)^2+12/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*e^3*g-18/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*d*e^2*g-6/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*e^3*f+12/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*c*d^2*e*g+12/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*c*d*e^2*f+6/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*d^2*e*g+6/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*d*e^2*f-6/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*c*d^3*g-18/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*c*d^2*e*f+12/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*c^2*d^3*f","B"
2373,1,1014,297,0.063000," ","int((e*x+d)^2*(g*x+f)/(c*x^2+b*x+a)^3,x)","-\frac{6 a b \,e^{2} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{8 a c d e g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{4 a c \,e^{2} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{4 b^{2} d e g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{2 b^{2} e^{2} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}-\frac{6 b c \,d^{2} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}-\frac{12 b c d e f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{12 c^{2} d^{2} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{-\frac{\left(3 a b \,e^{2} g -4 a c d e g -2 a c \,e^{2} f -2 b^{2} d e g -b^{2} e^{2} f +3 b c \,d^{2} g +6 b c d e f -6 c^{2} d^{2} f \right) c \,x^{3}}{16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}}-\frac{\left(16 a^{2} c^{2} e^{2} g +a \,b^{2} c \,e^{2} g -12 a b \,c^{2} d e g -6 a b \,c^{2} e^{2} f +b^{4} e^{2} g -6 b^{3} c d e g -3 b^{3} c \,e^{2} f +9 b^{2} c^{2} d^{2} g +18 b^{2} c^{2} d e f -18 b \,c^{3} d^{2} f \right) x^{2}}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c}-\frac{\left(5 a^{2} b c \,e^{2} g +4 a^{2} c^{2} d e g +2 a^{2} c^{2} e^{2} f +a \,b^{3} e^{2} g -10 a \,b^{2} c d e g -5 a \,b^{2} c \,e^{2} f +5 a b \,c^{2} d^{2} g +10 a b \,c^{2} d e f -10 a \,c^{3} d^{2} f +b^{3} c \,d^{2} g +2 b^{3} c d e f -2 b^{2} c^{2} d^{2} f \right) x}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c}-\frac{8 a^{3} c \,e^{2} g +a^{2} b^{2} e^{2} g -12 a^{2} b c d e g -6 a^{2} b c \,e^{2} f +8 a^{2} c^{2} d^{2} g +16 a^{2} c^{2} d e f +a \,b^{2} c \,d^{2} g +2 a \,b^{2} c d e f -10 a b \,c^{2} d^{2} f +b^{3} c \,d^{2} f}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c}}{\left(c \,x^{2}+b x +a \right)^{2}}"," ",0,"(-c*(3*a*b*e^2*g-4*a*c*d*e*g-2*a*c*e^2*f-2*b^2*d*e*g-b^2*e^2*f+3*b*c*d^2*g+6*b*c*d*e*f-6*c^2*d^2*f)/(16*a^2*c^2-8*a*b^2*c+b^4)*x^3-1/2*(16*a^2*c^2*e^2*g+a*b^2*c*e^2*g-12*a*b*c^2*d*e*g-6*a*b*c^2*e^2*f+b^4*e^2*g-6*b^3*c*d*e*g-3*b^3*c*e^2*f+9*b^2*c^2*d^2*g+18*b^2*c^2*d*e*f-18*b*c^3*d^2*f)/c/(16*a^2*c^2-8*a*b^2*c+b^4)*x^2-1/c*(5*a^2*b*c*e^2*g+4*a^2*c^2*d*e*g+2*a^2*c^2*e^2*f+a*b^3*e^2*g-10*a*b^2*c*d*e*g-5*a*b^2*c*e^2*f+5*a*b*c^2*d^2*g+10*a*b*c^2*d*e*f-10*a*c^3*d^2*f+b^3*c*d^2*g+2*b^3*c*d*e*f-2*b^2*c^2*d^2*f)/(16*a^2*c^2-8*a*b^2*c+b^4)*x-1/2*(8*a^3*c*e^2*g+a^2*b^2*e^2*g-12*a^2*b*c*d*e*g-6*a^2*b*c*e^2*f+8*a^2*c^2*d^2*g+16*a^2*c^2*d*e*f+a*b^2*c*d^2*g+2*a*b^2*c*d*e*f-10*a*b*c^2*d^2*f+b^3*c*d^2*f)/c/(16*a^2*c^2-8*a*b^2*c+b^4))/(c*x^2+b*x+a)^2-6/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*e^2*g+8/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*c*d*e*g+4/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*c*e^2*f+4/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*d*e*g+2/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*e^2*f-6/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*c*d^2*g-12/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*c*d*e*f+12/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*c^2*d^2*f","B"
2374,1,591,213,0.055000," ","int((e*x+d)*(g*x+f)/(c*x^2+b*x+a)^3,x)","\frac{4 a c e g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{2 b^{2} e g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}-\frac{6 b c d g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}-\frac{6 b c e f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{12 c^{2} d f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{\frac{\left(2 a c e g +b^{2} e g -3 b c d g -3 b c e f +6 c^{2} d f \right) c \,x^{3}}{16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}}+\frac{3 \left(2 a c e g +b^{2} e g -3 b c d g -3 b c e f +6 c^{2} d f \right) b \,x^{2}}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right)}-\frac{\left(2 a^{2} c e g -5 a \,b^{2} e g +5 a b c d g +5 a b c e f -10 a \,c^{2} d f +b^{3} d g +b^{3} e f -2 b^{2} c d f \right) x}{16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}}+\frac{6 a^{2} b e g -8 a^{2} c d g -8 a^{2} c e f -a \,b^{2} d g -a \,b^{2} e f +10 a b c d f -b^{3} d f}{32 a^{2} c^{2}-16 a \,b^{2} c +2 b^{4}}}{\left(c \,x^{2}+b x +a \right)^{2}}"," ",0,"(c*(2*a*c*e*g+b^2*e*g-3*b*c*d*g-3*b*c*e*f+6*c^2*d*f)/(16*a^2*c^2-8*a*b^2*c+b^4)*x^3+3/2*b*(2*a*c*e*g+b^2*e*g-3*b*c*d*g-3*b*c*e*f+6*c^2*d*f)/(16*a^2*c^2-8*a*b^2*c+b^4)*x^2-(2*a^2*c*e*g-5*a*b^2*e*g+5*a*b*c*d*g+5*a*b*c*e*f-10*a*c^2*d*f+b^3*d*g+b^3*e*f-2*b^2*c*d*f)/(16*a^2*c^2-8*a*b^2*c+b^4)*x+1/2*(6*a^2*b*e*g-8*a^2*c*d*g-8*a^2*c*e*f-a*b^2*d*g-a*b^2*e*f+10*a*b*c*d*f-b^3*d*f)/(16*a^2*c^2-8*a*b^2*c+b^4))/(c*x^2+b*x+a)^2+4/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*c*e*g+2/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*e*g-6/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*c*d*g-6/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*c*e*f+12/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*c^2*d*f","B"
2375,1,242,125,0.053000," ","int((g*x+f)/(c*x^2+b*x+a)^3,x)","-\frac{3 b c g x}{\left(4 a c -b^{2}\right)^{2} \left(c \,x^{2}+b x +a \right)}-\frac{6 b c g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{5}{2}}}+\frac{6 c^{2} f x}{\left(4 a c -b^{2}\right)^{2} \left(c \,x^{2}+b x +a \right)}+\frac{12 c^{2} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{5}{2}}}-\frac{3 b^{2} g}{2 \left(4 a c -b^{2}\right)^{2} \left(c \,x^{2}+b x +a \right)}+\frac{3 b c f}{\left(4 a c -b^{2}\right)^{2} \left(c \,x^{2}+b x +a \right)}+\frac{-2 a g +b f +\left(-b g +2 c f \right) x}{2 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{2}}"," ",0,"1/2*(b*f-2*a*g+(-b*g+2*c*f)*x)/(4*a*c-b^2)/(c*x^2+b*x+a)^2-3/(4*a*c-b^2)^2/(c*x^2+b*x+a)*c*x*b*g+6/(4*a*c-b^2)^2/(c*x^2+b*x+a)*c^2*x*f-3/2/(4*a*c-b^2)^2/(c*x^2+b*x+a)*b^2*g+3/(4*a*c-b^2)^2/(c*x^2+b*x+a)*b*c*f-6/(4*a*c-b^2)^(5/2)*c*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*g+12/(4*a*c-b^2)^(5/2)*c^2*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*f","A"
2376,1,9360,658,0.085000," ","int((g*x+f)/(e*x+d)/(c*x^2+b*x+a)^3,x)","\text{output too large to display}"," ",0,"result too large to display","B"
2377,1,13679,1033,0.107000," ","int((g*x+f)/(e*x+d)^2/(c*x^2+b*x+a)^3,x)","\text{output too large to display}"," ",0,"result too large to display","B"
2378,1,34,33,0.048000," ","int((5-x)*(2*x+3)^4/(3*x^2+5*x+2),x)","-\frac{4 x^{4}}{3}+\frac{32 x^{3}}{27}+\frac{1156 x^{2}}{27}+\frac{11576 x}{81}+\frac{10625 \ln \left(3 x +2\right)}{243}-6 \ln \left(x +1\right)"," ",0,"11576/81*x+1156/27*x^2+32/27*x^3-4/3*x^4-6*ln(x+1)+10625/243*ln(3*x+2)","A"
2379,1,29,28,0.052000," ","int((5-x)*(2*x+3)^3/(3*x^2+5*x+2),x)","-\frac{8 x^{3}}{9}+\frac{26 x^{2}}{9}+\frac{922 x}{27}+\frac{2125 \ln \left(3 x +2\right)}{81}-6 \ln \left(x +1\right)"," ",0,"922/27*x+26/9*x^2-8/9*x^3-6*ln(x+1)+2125/81*ln(3*x+2)","A"
2380,1,24,23,0.060000," ","int((5-x)*(2*x+3)^2/(3*x^2+5*x+2),x)","-\frac{2 x^{2}}{3}+\frac{44 x}{9}+\frac{425 \ln \left(3 x +2\right)}{27}-6 \ln \left(x +1\right)"," ",0,"44/9*x-2/3*x^2-6*ln(x+1)+425/27*ln(3*x+2)","A"
2381,1,19,18,0.049000," ","int((5-x)*(2*x+3)/(3*x^2+5*x+2),x)","-\frac{2 x}{3}+\frac{85 \ln \left(3 x +2\right)}{9}-6 \ln \left(x +1\right)"," ",0,"-2/3*x-6*ln(x+1)+85/9*ln(3*x+2)","A"
2382,1,16,15,0.049000," ","int((5-x)/(3*x^2+5*x+2),x)","\frac{17 \ln \left(3 x +2\right)}{3}-6 \ln \left(x +1\right)"," ",0,"-6*ln(x+1)+17/3*ln(3*x+2)","A"
2383,1,24,23,0.053000," ","int((5-x)/(2*x+3)/(3*x^2+5*x+2),x)","\frac{17 \ln \left(3 x +2\right)}{5}+\frac{13 \ln \left(2 x +3\right)}{5}-6 \ln \left(x +1\right)"," ",0,"-6*ln(x+1)+13/5*ln(2*x+3)+17/5*ln(3*x+2)","A"
2384,1,33,32,0.056000," ","int((5-x)/(2*x+3)^2/(3*x^2+5*x+2),x)","\frac{51 \ln \left(3 x +2\right)}{25}+\frac{99 \ln \left(2 x +3\right)}{25}-6 \ln \left(x +1\right)-\frac{13}{5 \left(2 x +3\right)}"," ",0,"-13/5/(2*x+3)-6*ln(x+1)+99/25*ln(2*x+3)+51/25*ln(3*x+2)","A"
2385,1,42,41,0.050000," ","int((5-x)/(2*x+3)^3/(3*x^2+5*x+2),x)","\frac{153 \ln \left(3 x +2\right)}{125}+\frac{597 \ln \left(2 x +3\right)}{125}-6 \ln \left(x +1\right)-\frac{13}{10 \left(2 x +3\right)^{2}}-\frac{99}{25 \left(2 x +3\right)}"," ",0,"-13/10/(2*x+3)^2-99/25/(2*x+3)-6*ln(x+1)+597/125*ln(2*x+3)+153/125*ln(3*x+2)","A"
2386,1,51,50,0.054000," ","int((5-x)/(2*x+3)^4/(3*x^2+5*x+2),x)","\frac{459 \ln \left(3 x +2\right)}{625}+\frac{3291 \ln \left(2 x +3\right)}{625}-6 \ln \left(x +1\right)-\frac{13}{15 \left(2 x +3\right)^{3}}-\frac{99}{50 \left(2 x +3\right)^{2}}-\frac{597}{125 \left(2 x +3\right)}"," ",0,"-13/15/(2*x+3)^3-99/50/(2*x+3)^2-597/125/(2*x+3)-6*ln(x+1)+3291/625*ln(2*x+3)+459/625*ln(3*x+2)","A"
2387,1,40,42,0.051000," ","int((5-x)*(2*x+3)^4/(3*x^2+5*x+2)^2,x)","-\frac{8 x^{2}}{9}+\frac{112 x}{27}-\frac{1625 \ln \left(3 x +2\right)}{27}+83 \ln \left(x +1\right)-\frac{10625}{81 \left(3 x +2\right)}-\frac{6}{x +1}"," ",0,"-8/9*x^2+112/27*x-10625/81/(3*x+2)-1625/27*ln(3*x+2)-6/(x+1)+83*ln(x+1)","A"
2388,1,35,37,0.053000," ","int((5-x)*(2*x+3)^3/(3*x^2+5*x+2)^2,x)","-\frac{8 x}{9}-\frac{1825 \ln \left(3 x +2\right)}{27}+71 \ln \left(x +1\right)-\frac{2125}{27 \left(3 x +2\right)}-\frac{6}{x +1}"," ",0,"-8/9*x-2125/27/(3*x+2)-1825/27*ln(3*x+2)-6/(x+1)+71*ln(x+1)","A"
2389,1,32,34,0.051000," ","int((5-x)*(2*x+3)^2/(3*x^2+5*x+2)^2,x)","-\frac{535 \ln \left(3 x +2\right)}{9}+59 \ln \left(x +1\right)-\frac{425}{9 \left(3 x +2\right)}-\frac{6}{x +1}"," ",0,"-425/9/(3*x+2)-535/9*ln(3*x+2)-6/(x+1)+59*ln(x+1)","A"
2390,1,32,34,0.049000," ","int((5-x)*(2*x+3)/(3*x^2+5*x+2)^2,x)","-47 \ln \left(3 x +2\right)+47 \ln \left(x +1\right)-\frac{85}{3 \left(3 x +2\right)}-\frac{6}{x +1}"," ",0,"-85/3/(3*x+2)-47*ln(3*x+2)-6/(x+1)+47*ln(x+1)","A"
2391,1,32,33,0.052000," ","int((5-x)/(3*x^2+5*x+2)^2,x)","-35 \ln \left(3 x +2\right)+35 \ln \left(x +1\right)-\frac{17}{3 x +2}-\frac{6}{x +1}"," ",0,"-17/(3*x+2)-35*ln(3*x+2)-6/(x+1)+35*ln(x+1)","A"
2392,1,40,42,0.051000," ","int((5-x)/(2*x+3)/(3*x^2+5*x+2)^2,x)","-\frac{627 \ln \left(3 x +2\right)}{25}+\frac{52 \ln \left(2 x +3\right)}{25}+23 \ln \left(x +1\right)-\frac{51}{5 \left(3 x +2\right)}-\frac{6}{x +1}"," ",0,"-51/5/(3*x+2)-627/25*ln(3*x+2)+52/25*ln(2*x+3)-6/(x+1)+23*ln(x+1)","A"
2393,1,49,58,0.056000," ","int((5-x)/(2*x+3)^2/(3*x^2+5*x+2)^2,x)","-\frac{2187 \ln \left(3 x +2\right)}{125}+\frac{812 \ln \left(2 x +3\right)}{125}+11 \ln \left(x +1\right)-\frac{153}{25 \left(3 x +2\right)}-\frac{52}{25 \left(2 x +3\right)}-\frac{6}{x +1}"," ",0,"-153/25/(3*x+2)-2187/125*ln(3*x+2)-52/25/(2*x+3)+812/125*ln(2*x+3)-6/(x+1)+11*ln(x+1)","A"
2394,1,58,67,0.058000," ","int((5-x)/(2*x+3)^3/(3*x^2+5*x+2)^2,x)","-\frac{7479 \ln \left(3 x +2\right)}{625}+\frac{8104 \ln \left(2 x +3\right)}{625}-\ln \left(x +1\right)-\frac{459}{125 \left(3 x +2\right)}-\frac{26}{25 \left(2 x +3\right)^{2}}-\frac{812}{125 \left(2 x +3\right)}-\frac{6}{x +1}"," ",0,"-459/125/(3*x+2)-7479/625*ln(3*x+2)-26/25/(2*x+3)^2-812/125/(2*x+3)+8104/625*ln(2*x+3)-6/(x+1)-ln(x+1)","A"
2395,1,67,76,0.059000," ","int((5-x)/(2*x+3)^4/(3*x^2+5*x+2)^2,x)","-\frac{25191 \ln \left(3 x +2\right)}{3125}+\frac{65816 \ln \left(2 x +3\right)}{3125}-13 \ln \left(x +1\right)-\frac{1377}{625 \left(3 x +2\right)}-\frac{52}{75 \left(2 x +3\right)^{3}}-\frac{406}{125 \left(2 x +3\right)^{2}}-\frac{8104}{625 \left(2 x +3\right)}-\frac{6}{x +1}"," ",0,"-1377/625/(3*x+2)-25191/3125*ln(3*x+2)-52/75/(2*x+3)^3-406/125/(2*x+3)^2-8104/625/(2*x+3)+65816/3125*ln(2*x+3)-6/(x+1)-13*ln(x+1)","A"
2396,1,51,56,0.056000," ","int((5-x)*(2*x+3)^5/(3*x^2+5*x+2)^3,x)","-\frac{32 x}{27}+\frac{29375 \ln \left(3 x +2\right)}{27}-1085 \ln \left(x +1\right)-\frac{53125}{162 \left(3 x +2\right)^{2}}+\frac{6250}{9 \left(3 x +2\right)}+\frac{3}{\left(x +1\right)^{2}}+\frac{113}{x +1}"," ",0,"-32/27*x-53125/162/(3*x+2)^2+6250/9/(3*x+2)+29375/27*ln(3*x+2)+3/(x+1)^2+113/(x+1)-1085*ln(x+1)","A"
2397,1,48,53,0.053000," ","int((5-x)*(2*x+3)^4/(3*x^2+5*x+2)^3,x)","\frac{23825 \ln \left(3 x +2\right)}{27}-883 \ln \left(x +1\right)-\frac{10625}{54 \left(3 x +2\right)^{2}}+\frac{15500}{27 \left(3 x +2\right)}+\frac{3}{\left(x +1\right)^{2}}+\frac{101}{x +1}"," ",0,"-10625/54/(3*x+2)^2+15500/27/(3*x+2)+23825/27*ln(3*x+2)+3/(x+1)^2+101/(x+1)-883*ln(x+1)","A"
2398,1,48,65,0.052000," ","int((5-x)*(2*x+3)^3/(3*x^2+5*x+2)^3,x)","705 \ln \left(3 x +2\right)-705 \ln \left(x +1\right)-\frac{2125}{18 \left(3 x +2\right)^{2}}+\frac{3950}{9 \left(3 x +2\right)}+\frac{3}{\left(x +1\right)^{2}}+\frac{89}{x +1}"," ",0,"-2125/18/(3*x+2)^2+3950/9/(3*x+2)+705*ln(3*x+2)+3/(x+1)^2+89/(x+1)-705*ln(x+1)","A"
2399,1,48,53,0.052000," ","int((5-x)*(2*x+3)^2/(3*x^2+5*x+2)^3,x)","551 \ln \left(3 x +2\right)-551 \ln \left(x +1\right)-\frac{425}{6 \left(3 x +2\right)^{2}}+\frac{320}{3 x +2}+\frac{3}{\left(x +1\right)^{2}}+\frac{77}{x +1}"," ",0,"-425/6/(3*x+2)^2+320/(3*x+2)+551*ln(3*x+2)+3/(x+1)^2+77/(x+1)-551*ln(x+1)","A"
2400,1,48,53,0.052000," ","int((5-x)*(2*x+3)/(3*x^2+5*x+2)^3,x)","421 \ln \left(3 x +2\right)-421 \ln \left(x +1\right)-\frac{85}{2 \left(3 x +2\right)^{2}}+\frac{226}{3 x +2}+\frac{3}{\left(x +1\right)^{2}}+\frac{65}{x +1}"," ",0,"-85/2/(3*x+2)^2+226/(3*x+2)+421*ln(3*x+2)+3/(x+1)^2+65/(x+1)-421*ln(x+1)","A"
2401,1,48,53,0.048000," ","int((5-x)/(3*x^2+5*x+2)^3,x)","315 \ln \left(3 x +2\right)-315 \ln \left(x +1\right)-\frac{51}{2 \left(3 x +2\right)^{2}}+\frac{156}{3 x +2}+\frac{3}{\left(x +1\right)^{2}}+\frac{53}{x +1}"," ",0,"-51/2/(3*x+2)^2+156/(3*x+2)+315*ln(3*x+2)+3/(x+1)^2+53/(x+1)-315*ln(x+1)","A"
2402,1,56,61,0.051000," ","int((5-x)/(2*x+3)/(3*x^2+5*x+2)^3,x)","\frac{28917 \ln \left(3 x +2\right)}{125}+\frac{208 \ln \left(2 x +3\right)}{125}-233 \ln \left(x +1\right)-\frac{153}{10 \left(3 x +2\right)^{2}}+\frac{2646}{25 \left(3 x +2\right)}+\frac{3}{\left(x +1\right)^{2}}+\frac{41}{x +1}"," ",0,"-153/10/(3*x+2)^2+2646/25/(3*x+2)+28917/125*ln(3*x+2)+208/125*ln(2*x+3)+3/(x+1)^2+41/(x+1)-233*ln(x+1)","A"
2403,1,65,84,0.053000," ","int((5-x)/(2*x+3)^2/(3*x^2+5*x+2)^3,x)","\frac{104463 \ln \left(3 x +2\right)}{625}+\frac{4912 \ln \left(2 x +3\right)}{625}-175 \ln \left(x +1\right)-\frac{459}{50 \left(3 x +2\right)^{2}}+\frac{8856}{125 \left(3 x +2\right)}-\frac{208}{125 \left(2 x +3\right)}+\frac{3}{\left(x +1\right)^{2}}+\frac{29}{x +1}"," ",0,"-459/50/(3*x+2)^2+8856/125/(3*x+2)+104463/625*ln(3*x+2)-208/125/(2*x+3)+4912/625*ln(2*x+3)+3/(x+1)^2+29/(x+1)-175*ln(x+1)","A"
2404,1,74,93,0.055000," ","int((5-x)/(2*x+3)^3/(3*x^2+5*x+2)^3,x)","\frac{372033 \ln \left(3 x +2\right)}{3125}+\frac{68592 \ln \left(2 x +3\right)}{3125}-141 \ln \left(x +1\right)-\frac{1377}{250 \left(3 x +2\right)^{2}}+\frac{29322}{625 \left(3 x +2\right)}-\frac{104}{125 \left(2 x +3\right)^{2}}-\frac{4912}{625 \left(2 x +3\right)}+\frac{3}{\left(x +1\right)^{2}}+\frac{17}{x +1}"," ",0,"-1377/250/(3*x+2)^2+29322/625/(3*x+2)+372033/3125*ln(3*x+2)-104/125/(2*x+3)^2-4912/625/(2*x+3)+68592/3125*ln(2*x+3)+3/(x+1)^2+17/(x+1)-141*ln(x+1)","A"
2405,1,20,29,0.040000," ","int(x*(x+1)^2/(x^2+x+1)^3,x)","\frac{-\frac{1}{2} x^{2}-\frac{2}{3} x -\frac{1}{3}}{\left(x^{2}+x +1\right)^{2}}"," ",0,"(-1/2*x^2-2/3*x-1/3)/(x^2+x+1)^2","A"
2406,1,130,130,0.055000," ","int((5-x)*(2*x+3)^4*(3*x^2+5*x+2)^(1/2),x)","-\frac{16 \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}} x^{4}}{21}+\frac{52 \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}} x^{3}}{189}+\frac{5542 \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}} x^{2}}{315}+\frac{34931 \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}} x}{756}-\frac{25969 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{93312}+\frac{25969 \left(6 x +5\right) \sqrt{3 x^{2}+5 x +2}}{15552}+\frac{2654033 \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}{68040}"," ",0,"-16/21*x^4*(3*x^2+5*x+2)^(3/2)+52/189*x^3*(3*x^2+5*x+2)^(3/2)+5542/315*x^2*(3*x^2+5*x+2)^(3/2)+34931/756*x*(3*x^2+5*x+2)^(3/2)-25969/93312*ln(1/3*(5/2+3*x)*3^(1/2)+(3*x^2+5*x+2)^(1/2))*3^(1/2)+25969/15552*(6*x+5)*(3*x^2+5*x+2)^(1/2)+2654033/68040*(3*x^2+5*x+2)^(3/2)","A"
2407,1,113,109,0.052000," ","int((5-x)*(2*x+3)^3*(3*x^2+5*x+2)^(1/2),x)","-\frac{4 \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}} x^{3}}{9}+\frac{14 \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}} x^{2}}{15}+\frac{337 \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}} x}{36}-\frac{6221 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{31104}+\frac{44011 \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}{3240}+\frac{6221 \left(6 x +5\right) \sqrt{3 x^{2}+5 x +2}}{5184}"," ",0,"-4/9*(3*x^2+5*x+2)^(3/2)*x^3+14/15*(3*x^2+5*x+2)^(3/2)*x^2+337/36*(3*x^2+5*x+2)^(3/2)*x+44011/3240*(3*x^2+5*x+2)^(3/2)+6221/5184*(6*x+5)*(3*x^2+5*x+2)^(1/2)-6221/31104*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))","A"
2408,1,96,88,0.051000," ","int((5-x)*(2*x+3)^2*(3*x^2+5*x+2)^(1/2),x)","-\frac{4 \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}} x^{2}}{15}+\frac{19 \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}} x}{18}-\frac{2267 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{15552}+\frac{6997 \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}{1620}+\frac{2267 \left(6 x +5\right) \sqrt{3 x^{2}+5 x +2}}{2592}"," ",0,"-4/15*(3*x^2+5*x+2)^(3/2)*x^2+19/18*(3*x^2+5*x+2)^(3/2)*x+6997/1620*(3*x^2+5*x+2)^(3/2)+2267/2592*(6*x+5)*(3*x^2+5*x+2)^(1/2)-2267/15552*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))","A"
2409,1,79,67,0.051000," ","int((5-x)*(2*x+3)*(3*x^2+5*x+2)^(1/2),x)","-\frac{\left(3 x^{2}+5 x +2\right)^{\frac{3}{2}} x}{6}-\frac{559 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{5184}+\frac{109 \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}{108}+\frac{559 \left(6 x +5\right) \sqrt{3 x^{2}+5 x +2}}{864}"," ",0,"-1/6*(3*x^2+5*x+2)^(3/2)*x+109/108*(3*x^2+5*x+2)^(3/2)+559/864*(6*x+5)*(3*x^2+5*x+2)^(1/2)-559/5184*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))","A"
2410,1,64,62,0.049000," ","int((5-x)*(3*x^2+5*x+2)^(1/2),x)","-\frac{35 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{432}+\frac{35 \left(6 x +5\right) \sqrt{3 x^{2}+5 x +2}}{72}-\frac{\left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}{9}"," ",0,"35/72*(6*x+5)*(3*x^2+5*x+2)^(1/2)-35/432*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))-1/9*(3*x^2+5*x+2)^(3/2)","A"
2411,1,127,76,0.049000," ","int((5-x)*(3*x^2+5*x+2)^(1/2)/(2*x+3),x)","-\frac{13 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{8}-\frac{13 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\right)}{6}+\frac{\sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{144}-\frac{\left(6 x +5\right) \sqrt{3 x^{2}+5 x +2}}{24}+\frac{13 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{8}"," ",0,"-1/24*(6*x+5)*(3*x^2+5*x+2)^(1/2)+1/144*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))+13/8*(12*(x+3/2)^2-16*x-19)^(1/2)-13/6*ln(1/3*(3*x+5/2)*3^(1/2)+(3*(x+3/2)^2-4*x-19/4)^(1/2))*3^(1/2)-13/8*5^(1/2)*arctanh(2/5*(-7/2-4*x)*5^(1/2)/(12*(x+3/2)^2-16*x-19)^(1/2))","A"
2412,1,121,81,0.059000," ","int((5-x)*(3*x^2+5*x+2)^(1/2)/(2*x+3)^2,x)","\frac{57 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{40}+\frac{43 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\right)}{24}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{10 \left(x +\frac{3}{2}\right)}-\frac{57 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{40}+\frac{13 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{20}"," ",0,"-13/10/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-57/40*(-16*x+12*(x+3/2)^2-19)^(1/2)+43/24*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(-4*x+3*(x+3/2)^2-19/4)^(1/2))+57/40*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))+13/20*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)","A"
2413,1,142,83,0.064000," ","int((5-x)*(3*x^2+5*x+2)^(1/2)/(2*x+3)^3,x)","-\frac{27 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{400}-\frac{\sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\right)}{8}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{40 \left(x +\frac{3}{2}\right)^{2}}-\frac{21 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{50 \left(x +\frac{3}{2}\right)}+\frac{27 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{400}+\frac{21 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{100}"," ",0,"-13/40/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-21/50/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)+27/400*(-16*x+12*(x+3/2)^2-19)^(1/2)-27/400*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))+21/100*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-1/8*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(-4*x+3*(x+3/2)^2-19/4)^(1/2))","A"
2414,1,132,76,0.061000," ","int((5-x)*(3*x^2+5*x+2)^(1/2)/(2*x+3)^4,x)","\frac{47 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{2000}-\frac{47 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{200 \left(x +\frac{3}{2}\right)^{2}}-\frac{47 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{125 \left(x +\frac{3}{2}\right)}-\frac{47 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{2000}+\frac{47 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{250}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{120 \left(x +\frac{3}{2}\right)^{3}}"," ",0,"-47/200/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-47/125/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-47/2000*(-16*x+12*(x+3/2)^2-19)^(1/2)+47/2000*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))+47/250*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-13/120/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(3/2)","A"
2415,1,153,97,0.059000," ","int((5-x)*(3*x^2+5*x+2)^(1/2)/(2*x+3)^5,x)","\frac{153 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{8000}-\frac{\left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{10 \left(x +\frac{3}{2}\right)^{3}}-\frac{153 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{800 \left(x +\frac{3}{2}\right)^{2}}-\frac{153 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{500 \left(x +\frac{3}{2}\right)}-\frac{153 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{8000}+\frac{153 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{1000}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{320 \left(x +\frac{3}{2}\right)^{4}}"," ",0,"-1/10/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-153/800/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-153/500/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-153/8000*(-16*x+12*(x+3/2)^2-19)^(1/2)+153/8000*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))+153/1000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-13/320/(x+3/2)^4*(-4*x+3*(x+3/2)^2-19/4)^(3/2)","A"
2416,1,174,118,0.061000," ","int((5-x)*(3*x^2+5*x+2)^(1/2)/(2*x+3)^6,x)","\frac{3159 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{200000}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{800 \left(x +\frac{3}{2}\right)^{5}}-\frac{339 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{8000 \left(x +\frac{3}{2}\right)^{4}}-\frac{87 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{1000 \left(x +\frac{3}{2}\right)^{3}}-\frac{3159 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{20000 \left(x +\frac{3}{2}\right)^{2}}-\frac{3159 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{12500 \left(x +\frac{3}{2}\right)}-\frac{3159 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{200000}+\frac{3159 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{25000}"," ",0,"-13/800/(x+3/2)^5*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-339/8000/(x+3/2)^4*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-87/1000/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-3159/20000/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-3159/12500/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-3159/200000*(-16*x+12*(x+3/2)^2-19)^(1/2)+3159/200000*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))+3159/25000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)","A"
2417,1,195,139,0.056000," ","int((5-x)*(3*x^2+5*x+2)^(1/2)/(2*x+3)^7,x)","\frac{26453 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{2000000}-\frac{73 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{4000 \left(x +\frac{3}{2}\right)^{5}}-\frac{3113 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{80000 \left(x +\frac{3}{2}\right)^{4}}-\frac{2237 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{30000 \left(x +\frac{3}{2}\right)^{3}}-\frac{26453 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{200000 \left(x +\frac{3}{2}\right)^{2}}-\frac{26453 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{125000 \left(x +\frac{3}{2}\right)}-\frac{26453 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{2000000}+\frac{26453 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{250000}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{1920 \left(x +\frac{3}{2}\right)^{6}}"," ",0,"-73/4000/(x+3/2)^5*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-3113/80000/(x+3/2)^4*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-2237/30000/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-26453/200000/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-26453/125000/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-26453/2000000*(-16*x+12*(x+3/2)^2-19)^(1/2)+26453/2000000*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))+26453/250000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-13/1920/(x+3/2)^6*(-4*x+3*(x+3/2)^2-19/4)^(3/2)","A"
2418,1,149,149,0.056000," ","int((5-x)*(2*x+3)^4*(3*x^2+5*x+2)^(3/2),x)","-\frac{16 \left(3 x^{2}+5 x +2\right)^{\frac{5}{2}} x^{4}}{27}+\frac{11 \left(3 x^{2}+5 x +2\right)^{\frac{5}{2}} x^{3}}{81}+\frac{6133 \left(3 x^{2}+5 x +2\right)^{\frac{5}{2}} x^{2}}{486}+\frac{2317 \left(3 x^{2}+5 x +2\right)^{\frac{5}{2}} x}{72}+\frac{454969 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{26873856}-\frac{454969 \left(6 x +5\right) \sqrt{3 x^{2}+5 x +2}}{4478976}+\frac{454969 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}{559872}+\frac{1498291 \left(3 x^{2}+5 x +2\right)^{\frac{5}{2}}}{58320}"," ",0,"-16/27*x^4*(3*x^2+5*x+2)^(5/2)+11/81*x^3*(3*x^2+5*x+2)^(5/2)+6133/486*x^2*(3*x^2+5*x+2)^(5/2)+2317/72*x*(3*x^2+5*x+2)^(5/2)+454969/26873856*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))-454969/4478976*(6*x+5)*(3*x^2+5*x+2)^(1/2)+454969/559872*(6*x+5)*(3*x^2+5*x+2)^(3/2)+1498291/58320*(3*x^2+5*x+2)^(5/2)","A"
2419,1,132,128,0.051000," ","int((5-x)*(2*x+3)^3*(3*x^2+5*x+2)^(3/2),x)","-\frac{\left(3 x^{2}+5 x +2\right)^{\frac{5}{2}} x^{3}}{3}+\frac{79 \left(3 x^{2}+5 x +2\right)^{\frac{5}{2}} x^{2}}{126}+\frac{1063 \left(3 x^{2}+5 x +2\right)^{\frac{5}{2}} x}{168}+\frac{12277 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{995328}-\frac{12277 \left(6 x +5\right) \sqrt{3 x^{2}+5 x +2}}{165888}+\frac{12277 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}{20736}+\frac{130801 \left(3 x^{2}+5 x +2\right)^{\frac{5}{2}}}{15120}"," ",0,"-1/3*(3*x^2+5*x+2)^(5/2)*x^3+79/126*(3*x^2+5*x+2)^(5/2)*x^2+1063/168*(3*x^2+5*x+2)^(5/2)*x+12277/995328*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))-12277/165888*(6*x+5)*(3*x^2+5*x+2)^(1/2)+12277/20736*(6*x+5)*(3*x^2+5*x+2)^(3/2)+130801/15120*(3*x^2+5*x+2)^(5/2)","A"
2420,1,115,107,0.049000," ","int((5-x)*(2*x+3)^2*(3*x^2+5*x+2)^(3/2),x)","-\frac{4 \left(3 x^{2}+5 x +2\right)^{\frac{5}{2}} x^{2}}{21}+\frac{43 \left(3 x^{2}+5 x +2\right)^{\frac{5}{2}} x}{63}+\frac{1129 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{124416}+\frac{5017 \left(3 x^{2}+5 x +2\right)^{\frac{5}{2}}}{1890}+\frac{1129 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}{2592}-\frac{1129 \left(6 x +5\right) \sqrt{3 x^{2}+5 x +2}}{20736}"," ",0,"-4/21*(3*x^2+5*x+2)^(5/2)*x^2+43/63*(3*x^2+5*x+2)^(5/2)*x+5017/1890*(3*x^2+5*x+2)^(5/2)+1129/2592*(6*x+5)*(3*x^2+5*x+2)^(3/2)-1129/20736*(6*x+5)*(3*x^2+5*x+2)^(1/2)+1129/124416*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))","A"
2421,1,98,86,0.046000," ","int((5-x)*(2*x+3)*(3*x^2+5*x+2)^(3/2),x)","-\frac{\left(3 x^{2}+5 x +2\right)^{\frac{5}{2}} x}{9}+\frac{839 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{124416}+\frac{161 \left(3 x^{2}+5 x +2\right)^{\frac{5}{2}}}{270}+\frac{839 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}{2592}-\frac{839 \left(6 x +5\right) \sqrt{3 x^{2}+5 x +2}}{20736}"," ",0,"-1/9*(3*x^2+5*x+2)^(5/2)*x+161/270*(3*x^2+5*x+2)^(5/2)+839/2592*(6*x+5)*(3*x^2+5*x+2)^(3/2)-839/20736*(6*x+5)*(3*x^2+5*x+2)^(1/2)+839/124416*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))","A"
2422,1,83,81,0.082000," ","int((5-x)*(3*x^2+5*x+2)^(3/2),x)","\frac{35 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{6912}+\frac{35 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}{144}-\frac{35 \left(6 x +5\right) \sqrt{3 x^{2}+5 x +2}}{1152}-\frac{\left(3 x^{2}+5 x +2\right)^{\frac{5}{2}}}{15}"," ",0,"35/144*(6*x+5)*(3*x^2+5*x+2)^(3/2)-35/1152*(6*x+5)*(3*x^2+5*x+2)^(1/2)+35/6912*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))-1/15*(3*x^2+5*x+2)^(5/2)","A"
2423,1,183,95,0.051000," ","int((5-x)*(3*x^2+5*x+2)^(3/2)/(2*x+3),x)","-\frac{65 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{32}-\frac{377 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\right)}{144}-\frac{\sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{2304}-\frac{\left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}{48}+\frac{\left(6 x +5\right) \sqrt{3 x^{2}+5 x +2}}{384}+\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{12}-\frac{13 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{24}+\frac{65 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{32}"," ",0,"-1/48*(6*x+5)*(3*x^2+5*x+2)^(3/2)+1/384*(6*x+5)*(3*x^2+5*x+2)^(1/2)-1/2304*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))+13/12*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-13/24*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-377/144*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(-4*x+3*(x+3/2)^2-19/4)^(1/2))+65/32*(-16*x+12*(x+3/2)^2-19)^(1/2)-65/32*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))","A"
2424,1,158,100,0.055000," ","int((5-x)*(3*x^2+5*x+2)^(3/2)/(2*x+3)^2,x)","\frac{161 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{32}+\frac{3743 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\right)}{576}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{10 \left(x +\frac{3}{2}\right)}-\frac{161 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{60}+\frac{121 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{96}-\frac{161 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{32}+\frac{13 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{20}"," ",0,"-13/10/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-161/60*(-4*x+3*(x+3/2)^2-19/4)^(3/2)+121/96*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)+3743/576*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(-4*x+3*(x+3/2)^2-19/4)^(1/2))-161/32*(-16*x+12*(x+3/2)^2-19)^(1/2)+161/32*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))+13/20*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)","A"
2425,1,179,107,0.056000," ","int((5-x)*(3*x^2+5*x+2)^(3/2)/(2*x+3)^3,x)","-\frac{1329 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{320}-\frac{343 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\right)}{64}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{40 \left(x +\frac{3}{2}\right)^{2}}+\frac{31 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{50 \left(x +\frac{3}{2}\right)}+\frac{443 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{200}-\frac{171 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{160}+\frac{1329 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{320}-\frac{31 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{100}"," ",0,"-13/40/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(5/2)+31/50/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)+443/200*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-171/160*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-343/64*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(-4*x+3*(x+3/2)^2-19/4)^(1/2))+1329/320*(-16*x+12*(x+3/2)^2-19)^(1/2)-1329/320*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))-31/100*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)","A"
2426,1,200,109,0.056000," ","int((5-x)*(3*x^2+5*x+2)^(3/2)/(2*x+3)^4,x)","\frac{1973 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{1600}+\frac{51 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\right)}{32}-\frac{37 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{600 \left(x +\frac{3}{2}\right)^{2}}-\frac{158 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{375 \left(x +\frac{3}{2}\right)}-\frac{1973 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{3000}+\frac{121 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{400}-\frac{1973 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{1600}+\frac{79 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{375}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{120 \left(x +\frac{3}{2}\right)^{3}}"," ",0,"-37/600/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-158/375/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-1973/3000*(-4*x+3*(x+3/2)^2-19/4)^(3/2)+121/400*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)+51/32*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(-4*x+3*(x+3/2)^2-19/4)^(1/2))-1973/1600*(-16*x+12*(x+3/2)^2-19)^(1/2)+1973/1600*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))+79/375*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-13/120/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(5/2)","A"
2427,1,221,109,0.063000," ","int((5-x)*(3*x^2+5*x+2)^(3/2)/(2*x+3)^5,x)","-\frac{2359 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{32000}-\frac{3 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\right)}{32}-\frac{17 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{300 \left(x +\frac{3}{2}\right)^{3}}-\frac{1129 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{12000 \left(x +\frac{3}{2}\right)^{2}}-\frac{911 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{7500 \left(x +\frac{3}{2}\right)}+\frac{2359 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{60000}-\frac{109 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{4000}+\frac{2359 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{32000}+\frac{911 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{15000}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{320 \left(x +\frac{3}{2}\right)^{4}}"," ",0,"-17/300/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-1129/12000/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-911/7500/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)+2359/60000*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-109/4000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-3/32*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(-4*x+3*(x+3/2)^2-19/4)^(1/2))+2359/32000*(-16*x+12*(x+3/2)^2-19)^(1/2)-2359/32000*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))+911/15000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-13/320/(x+3/2)^4*(-4*x+3*(x+3/2)^2-19/4)^(5/2)","B"
2428,1,211,102,0.059000," ","int((5-x)*(3*x^2+5*x+2)^(3/2)/(2*x+3)^6,x)","-\frac{141 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{160000}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{800 \left(x +\frac{3}{2}\right)^{5}}-\frac{47 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{1600 \left(x +\frac{3}{2}\right)^{4}}-\frac{47 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{1000 \left(x +\frac{3}{2}\right)^{3}}-\frac{1457 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{20000 \left(x +\frac{3}{2}\right)^{2}}-\frac{1363 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{12500 \left(x +\frac{3}{2}\right)}+\frac{47 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{100000}-\frac{141 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{20000}+\frac{141 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{160000}+\frac{1363 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{25000}"," ",0,"-13/800/(x+3/2)^5*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-47/1600/(x+3/2)^4*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-47/1000/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-1457/20000/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-1363/12500/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)+47/100000*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-141/20000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)+141/160000*(-16*x+12*(x+3/2)^2-19)^(1/2)-141/160000*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))+1363/25000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)","B"
2429,1,232,123,0.064000," ","int((5-x)*(3*x^2+5*x+2)^(3/2)/(2*x+3)^7,x)","-\frac{1141 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{1600000}-\frac{167 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{12000 \left(x +\frac{3}{2}\right)^{5}}-\frac{1141 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{48000 \left(x +\frac{3}{2}\right)^{4}}-\frac{1141 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{30000 \left(x +\frac{3}{2}\right)^{3}}-\frac{35371 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{600000 \left(x +\frac{3}{2}\right)^{2}}-\frac{33089 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{375000 \left(x +\frac{3}{2}\right)}+\frac{1141 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{3000000}-\frac{1141 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{200000}+\frac{1141 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{1600000}+\frac{33089 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{750000}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{1920 \left(x +\frac{3}{2}\right)^{6}}"," ",0,"-167/12000/(x+3/2)^5*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-1141/48000/(x+3/2)^4*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-1141/30000/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-35371/600000/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-33089/375000/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)+1141/3000000*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-1141/200000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)+1141/1600000*(-16*x+12*(x+3/2)^2-19)^(1/2)-1141/1600000*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))+33089/750000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-13/1920/(x+3/2)^6*(-4*x+3*(x+3/2)^2-19/4)^(5/2)","A"
2430,1,253,144,0.074000," ","int((5-x)*(3*x^2+5*x+2)^(3/2)/(2*x+3)^8,x)","-\frac{4663 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{8000000}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{4480 \left(x +\frac{3}{2}\right)^{7}}-\frac{433 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{67200 \left(x +\frac{3}{2}\right)^{6}}-\frac{1223 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{105000 \left(x +\frac{3}{2}\right)^{5}}-\frac{4663 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{240000 \left(x +\frac{3}{2}\right)^{4}}-\frac{4663 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{150000 \left(x +\frac{3}{2}\right)^{3}}-\frac{144553 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{3000000 \left(x +\frac{3}{2}\right)^{2}}-\frac{135227 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{1875000 \left(x +\frac{3}{2}\right)}+\frac{4663 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{15000000}-\frac{4663 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{1000000}+\frac{4663 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{8000000}+\frac{135227 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{3750000}"," ",0,"-13/4480/(x+3/2)^7*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-433/67200/(x+3/2)^6*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-1223/105000/(x+3/2)^5*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-4663/240000/(x+3/2)^4*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-4663/150000/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-144553/3000000/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-135227/1875000/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)+4663/15000000*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-4663/1000000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)+4663/8000000*(-16*x+12*(x+3/2)^2-19)^(1/2)-4663/8000000*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))+135227/3750000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)","A"
2431,1,274,165,0.138000," ","int((5-x)*(3*x^2+5*x+2)^(3/2)/(2*x+3)^9,x)","-\frac{153927 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{320000000}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{10240 \left(x +\frac{3}{2}\right)^{8}}-\frac{51309 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{3200000 \left(x +\frac{3}{2}\right)^{4}}-\frac{3879 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{400000 \left(x +\frac{3}{2}\right)^{5}}-\frac{51309 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{2000000 \left(x +\frac{3}{2}\right)^{3}}-\frac{1590579 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{40000000 \left(x +\frac{3}{2}\right)^{2}}+\frac{1487961 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{50000000}-\frac{1487961 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{25000000 \left(x +\frac{3}{2}\right)}-\frac{153927 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{40000000}-\frac{19 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{6400 \left(x +\frac{3}{2}\right)^{7}}+\frac{153927 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{320000000}+\frac{51309 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{200000000}-\frac{717 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{128000 \left(x +\frac{3}{2}\right)^{6}}"," ",0,"-13/10240/(x+3/2)^8*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-51309/3200000/(x+3/2)^4*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-3879/400000/(x+3/2)^5*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-51309/2000000/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-1590579/40000000/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(5/2)+1487961/50000000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-1487961/25000000/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-153927/40000000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-153927/320000000*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))-19/6400/(x+3/2)^7*(-4*x+3*(x+3/2)^2-19/4)^(5/2)+153927/320000000*(-16*x+12*(x+3/2)^2-19)^(1/2)+51309/200000000*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-717/128000/(x+3/2)^6*(-4*x+3*(x+3/2)^2-19/4)^(5/2)","A"
2432,1,168,168,0.060000," ","int((5-x)*(2*x+3)^4*(3*x^2+5*x+2)^(5/2),x)","-\frac{16 \left(3 x^{2}+5 x +2\right)^{\frac{7}{2}} x^{4}}{33}+\frac{4 \left(3 x^{2}+5 x +2\right)^{\frac{7}{2}} x^{3}}{55}+\frac{8762 \left(3 x^{2}+5 x +2\right)^{\frac{7}{2}} x^{2}}{891}+\frac{2642401 \left(3 x^{2}+5 x +2\right)^{\frac{7}{2}} x}{106920}-\frac{249299 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{214990848}+\frac{249299 \left(6 x +5\right) \sqrt{3 x^{2}+5 x +2}}{35831808}-\frac{249299 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}{4478976}+\frac{249299 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{5}{2}}}{466560}+\frac{5753773 \left(3 x^{2}+5 x +2\right)^{\frac{7}{2}}}{299376}"," ",0,"-16/33*x^4*(3*x^2+5*x+2)^(7/2)+4/55*x^3*(3*x^2+5*x+2)^(7/2)+8762/891*x^2*(3*x^2+5*x+2)^(7/2)+2642401/106920*x*(3*x^2+5*x+2)^(7/2)-249299/214990848*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))+249299/35831808*(6*x+5)*(3*x^2+5*x+2)^(1/2)-249299/4478976*(6*x+5)*(3*x^2+5*x+2)^(3/2)+249299/466560*(6*x+5)*(3*x^2+5*x+2)^(5/2)+5753773/299376*(3*x^2+5*x+2)^(7/2)","A"
2433,1,151,147,0.050000," ","int((5-x)*(2*x+3)^3*(3*x^2+5*x+2)^(5/2),x)","-\frac{4 \left(3 x^{2}+5 x +2\right)^{\frac{7}{2}} x^{3}}{15}+\frac{38 \left(3 x^{2}+5 x +2\right)^{\frac{7}{2}} x^{2}}{81}+\frac{46453 \left(3 x^{2}+5 x +2\right)^{\frac{7}{2}} x}{9720}-\frac{182917 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{214990848}+\frac{182917 \left(6 x +5\right) \sqrt{3 x^{2}+5 x +2}}{35831808}-\frac{182917 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}{4478976}+\frac{182917 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{5}{2}}}{466560}+\frac{173137 \left(3 x^{2}+5 x +2\right)^{\frac{7}{2}}}{27216}"," ",0,"-4/15*(3*x^2+5*x+2)^(7/2)*x^3+38/81*(3*x^2+5*x+2)^(7/2)*x^2+46453/9720*(3*x^2+5*x+2)^(7/2)*x-182917/214990848*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))+182917/35831808*(6*x+5)*(3*x^2+5*x+2)^(1/2)-182917/4478976*(6*x+5)*(3*x^2+5*x+2)^(3/2)+182917/466560*(6*x+5)*(3*x^2+5*x+2)^(5/2)+173137/27216*(3*x^2+5*x+2)^(7/2)","A"
2434,1,134,126,0.049000," ","int((5-x)*(2*x+3)^2*(3*x^2+5*x+2)^(5/2),x)","-\frac{4 \left(3 x^{2}+5 x +2\right)^{\frac{7}{2}} x^{2}}{27}+\frac{163 \left(3 x^{2}+5 x +2\right)^{\frac{7}{2}} x}{324}-\frac{22535 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{35831808}+\frac{8699 \left(3 x^{2}+5 x +2\right)^{\frac{7}{2}}}{4536}+\frac{4507 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{5}{2}}}{15552}-\frac{22535 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}{746496}+\frac{22535 \left(6 x +5\right) \sqrt{3 x^{2}+5 x +2}}{5971968}"," ",0,"-4/27*(3*x^2+5*x+2)^(7/2)*x^2+163/324*(3*x^2+5*x+2)^(7/2)*x+8699/4536*(3*x^2+5*x+2)^(7/2)+4507/15552*(6*x+5)*(3*x^2+5*x+2)^(5/2)-22535/746496*(6*x+5)*(3*x^2+5*x+2)^(3/2)+22535/5971968*(6*x+5)*(3*x^2+5*x+2)^(1/2)-22535/35831808*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))","A"
2435,1,117,105,0.052000," ","int((5-x)*(2*x+3)*(3*x^2+5*x+2)^(5/2),x)","-\frac{\left(3 x^{2}+5 x +2\right)^{\frac{7}{2}} x}{12}-\frac{1865 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{3981312}+\frac{71 \left(3 x^{2}+5 x +2\right)^{\frac{7}{2}}}{168}+\frac{373 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{5}{2}}}{1728}-\frac{1865 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}{82944}+\frac{1865 \left(6 x +5\right) \sqrt{3 x^{2}+5 x +2}}{663552}"," ",0,"-1/12*(3*x^2+5*x+2)^(7/2)*x+71/168*(3*x^2+5*x+2)^(7/2)+373/1728*(6*x+5)*(3*x^2+5*x+2)^(5/2)-1865/82944*(6*x+5)*(3*x^2+5*x+2)^(3/2)+1865/663552*(6*x+5)*(3*x^2+5*x+2)^(1/2)-1865/3981312*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))","A"
2436,1,102,100,0.044000," ","int((5-x)*(3*x^2+5*x+2)^(5/2),x)","-\frac{175 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{497664}+\frac{35 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{5}{2}}}{216}-\frac{175 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}{10368}+\frac{175 \left(6 x +5\right) \sqrt{3 x^{2}+5 x +2}}{82944}-\frac{\left(3 x^{2}+5 x +2\right)^{\frac{7}{2}}}{21}"," ",0,"35/216*(6*x+5)*(3*x^2+5*x+2)^(5/2)-175/10368*(6*x+5)*(3*x^2+5*x+2)^(3/2)+175/82944*(6*x+5)*(3*x^2+5*x+2)^(1/2)-175/497664*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))-1/21*(3*x^2+5*x+2)^(7/2)","A"
2437,1,239,114,0.044000," ","int((5-x)*(3*x^2+5*x+2)^(5/2)/(2*x+3),x)","-\frac{325 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{128}-\frac{7553 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\right)}{2304}+\frac{5 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{165888}-\frac{\left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{5}{2}}}{72}+\frac{5 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}{3456}-\frac{5 \left(6 x +5\right) \sqrt{3 x^{2}+5 x +2}}{27648}+\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{20}-\frac{13 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{48}-\frac{247 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{384}+\frac{65 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{48}+\frac{325 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{128}"," ",0,"-1/72*(6*x+5)*(3*x^2+5*x+2)^(5/2)+5/3456*(6*x+5)*(3*x^2+5*x+2)^(3/2)-5/27648*(6*x+5)*(3*x^2+5*x+2)^(1/2)+5/165888*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))+13/20*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-13/48*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-247/384*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-7553/2304*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(-4*x+3*(x+3/2)^2-19/4)^(1/2))+65/48*(-4*x+3*(x+3/2)^2-19/4)^(3/2)+325/128*(-16*x+12*(x+3/2)^2-19)^(1/2)-325/128*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))","B"
2438,1,195,119,0.061000," ","int((5-x)*(3*x^2+5*x+2)^(5/2)/(2*x+3)^2,x)","\frac{1325 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{128}+\frac{41053 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\right)}{3072}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{10 \left(x +\frac{3}{2}\right)}-\frac{53 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{20}+\frac{199 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{192}+\frac{1347 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{512}-\frac{265 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{48}-\frac{1325 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{128}+\frac{13 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{20}"," ",0,"-13/10/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-53/20*(-4*x+3*(x+3/2)^2-19/4)^(5/2)+199/192*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)+1347/512*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)+41053/3072*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(-4*x+3*(x+3/2)^2-19/4)^(1/2))-265/48*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-1325/128*(-16*x+12*(x+3/2)^2-19)^(1/2)+1325/128*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))+13/20*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)","A"
2439,1,216,128,0.059000," ","int((5-x)*(3*x^2+5*x+2)^(5/2)/(2*x+3)^3,x)","-\frac{4295 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{256}-\frac{199615 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\right)}{9216}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{40 \left(x +\frac{3}{2}\right)^{2}}+\frac{83 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{50 \left(x +\frac{3}{2}\right)}+\frac{859 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{200}-\frac{109 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{64}-\frac{6545 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{1536}+\frac{859 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{96}+\frac{4295 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{256}-\frac{83 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{100}"," ",0,"-13/40/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(7/2)+83/50/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(7/2)+859/200*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-109/64*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-6545/1536*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-199615/9216*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(-4*x+3*(x+3/2)^2-19/4)^(1/2))+859/96*(-4*x+3*(x+3/2)^2-19/4)^(3/2)+4295/256*(-16*x+12*(x+3/2)^2-19)^(1/2)-4295/256*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))-83/100*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)","A"
2440,1,237,133,0.061000," ","int((5-x)*(3*x^2+5*x+2)^(5/2)/(2*x+3)^4,x)","\frac{3487 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{256}+\frac{13505 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\right)}{768}+\frac{67 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{600 \left(x +\frac{3}{2}\right)^{2}}-\frac{197 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{125 \left(x +\frac{3}{2}\right)}-\frac{3487 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{1000}+\frac{329 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{240}+\frac{443 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{128}-\frac{3487 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{480}-\frac{3487 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{256}+\frac{197 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{250}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{120 \left(x +\frac{3}{2}\right)^{3}}"," ",0,"67/600/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-197/125/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-3487/1000*(-4*x+3*(x+3/2)^2-19/4)^(5/2)+329/240*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)+443/128*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)+13505/768*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(-4*x+3*(x+3/2)^2-19/4)^(1/2))-3487/480*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-3487/256*(-16*x+12*(x+3/2)^2-19)^(1/2)+3487/256*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))+197/250*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-13/120/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(7/2)","A"
2441,1,258,135,0.061000," ","int((5-x)*(3*x^2+5*x+2)^(5/2)/(2*x+3)^5,x)","-\frac{29047 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{5120}-\frac{1875 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\right)}{256}-\frac{\left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{75 \left(x +\frac{3}{2}\right)^{3}}-\frac{1627 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{12000 \left(x +\frac{3}{2}\right)^{2}}+\frac{1307 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{2500 \left(x +\frac{3}{2}\right)}+\frac{29047 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{20000}-\frac{1387 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{2400}-\frac{461 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{320}+\frac{29047 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{9600}+\frac{29047 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{5120}-\frac{1307 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{5000}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{320 \left(x +\frac{3}{2}\right)^{4}}"," ",0,"-1/75/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-1627/12000/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(7/2)+1307/2500/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(7/2)+29047/20000*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-1387/2400*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-461/320*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-1875/256*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(-4*x+3*(x+3/2)^2-19/4)^(1/2))+29047/9600*(-4*x+3*(x+3/2)^2-19/4)^(3/2)+29047/5120*(-16*x+12*(x+3/2)^2-19)^(1/2)-29047/5120*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))-1307/5000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-13/320/(x+3/2)^4*(-4*x+3*(x+3/2)^2-19/4)^(7/2)","A"
2442,1,279,135,0.064000," ","int((5-x)*(3*x^2+5*x+2)^(5/2)/(2*x+3)^6,x)","\frac{137111 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{128000}+\frac{177 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\right)}{128}-\frac{521 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{15000 \left(x +\frac{3}{2}\right)^{3}}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{800 \left(x +\frac{3}{2}\right)^{5}}-\frac{9349 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{300000 \left(x +\frac{3}{2}\right)^{2}}+\frac{11491 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{125000}+\frac{6281 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{60000}-\frac{11491 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{62500 \left(x +\frac{3}{2}\right)}+\frac{4361 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{16000}-\frac{137111 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{128000}-\frac{131 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{8000 \left(x +\frac{3}{2}\right)^{4}}-\frac{137111 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{240000}-\frac{137111 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{500000}"," ",0,"-521/15000/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-13/800/(x+3/2)^5*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-9349/300000/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(7/2)+11491/125000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)+6281/60000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-11491/62500/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(7/2)+4361/16000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)+137111/128000*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))+177/128*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(-4*x+3*(x+3/2)^2-19/4)^(1/2))-137111/128000*(-16*x+12*(x+3/2)^2-19)^(1/2)-131/8000/(x+3/2)^4*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-137111/240000*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-137111/500000*(-4*x+3*(x+3/2)^2-19/4)^(5/2)","B"
2443,1,300,135,0.072000," ","int((5-x)*(3*x^2+5*x+2)^(5/2)/(2*x+3)^7,x)","-\frac{13931 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{256000}-\frac{9 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\right)}{128}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{1920 \left(x +\frac{3}{2}\right)^{6}}-\frac{709 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{30000 \left(x +\frac{3}{2}\right)^{3}}-\frac{23 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{2400 \left(x +\frac{3}{2}\right)^{5}}-\frac{22271 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{600000 \left(x +\frac{3}{2}\right)^{2}}+\frac{6089 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{250000}-\frac{1001 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{120000}-\frac{6089 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{125000 \left(x +\frac{3}{2}\right)}-\frac{431 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{32000}+\frac{13931 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{256000}-\frac{249 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{16000 \left(x +\frac{3}{2}\right)^{4}}+\frac{13931 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{480000}+\frac{13931 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{1000000}"," ",0,"-13/1920/(x+3/2)^6*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-709/30000/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-23/2400/(x+3/2)^5*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-22271/600000/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(7/2)+6089/250000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-1001/120000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-6089/125000/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-431/32000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-13931/256000*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))-9/128*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(-4*x+3*(x+3/2)^2-19/4)^(1/2))+13931/256000*(-16*x+12*(x+3/2)^2-19)^(1/2)-249/16000/(x+3/2)^4*(-4*x+3*(x+3/2)^2-19/4)^(7/2)+13931/480000*(-4*x+3*(x+3/2)^2-19/4)^(3/2)+13931/1000000*(-4*x+3*(x+3/2)^2-19/4)^(5/2)","B"
2444,1,290,128,0.070000," ","int((5-x)*(3*x^2+5*x+2)^(5/2)/(2*x+3)^8,x)","\frac{47 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{1280000}-\frac{47 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{9600 \left(x +\frac{3}{2}\right)^{6}}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{4480 \left(x +\frac{3}{2}\right)^{7}}-\frac{2867 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{150000 \left(x +\frac{3}{2}\right)^{3}}-\frac{47 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{6000 \left(x +\frac{3}{2}\right)^{5}}-\frac{87373 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{3000000 \left(x +\frac{3}{2}\right)^{2}}+\frac{27307 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{1250000}-\frac{1363 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{600000}-\frac{27307 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{625000 \left(x +\frac{3}{2}\right)}+\frac{47 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{160000}-\frac{47 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{1280000}-\frac{987 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{80000 \left(x +\frac{3}{2}\right)^{4}}-\frac{47 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{2400000}-\frac{47 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{5000000}"," ",0,"-47/9600/(x+3/2)^6*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-13/4480/(x+3/2)^7*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-2867/150000/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-47/6000/(x+3/2)^5*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-87373/3000000/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(7/2)+27307/1250000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-1363/600000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-27307/625000/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(7/2)+47/160000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)+47/1280000*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))-47/1280000*(-16*x+12*(x+3/2)^2-19)^(1/2)-987/80000/(x+3/2)^4*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-47/2400000*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-47/5000000*(-4*x+3*(x+3/2)^2-19/4)^(5/2)","B"
2445,1,311,149,0.078000," ","int((5-x)*(3*x^2+5*x+2)^(5/2)/(2*x+3)^9,x)","\frac{1517 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{51200000}-\frac{1517 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{384000 \left(x +\frac{3}{2}\right)^{6}}-\frac{107 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{44800 \left(x +\frac{3}{2}\right)^{7}}-\frac{92537 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{6000000 \left(x +\frac{3}{2}\right)^{3}}-\frac{1517 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{240000 \left(x +\frac{3}{2}\right)^{5}}-\frac{2820103 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{120000000 \left(x +\frac{3}{2}\right)^{2}}+\frac{881377 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{50000000}-\frac{43993 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{24000000}-\frac{881377 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{25000000 \left(x +\frac{3}{2}\right)}+\frac{1517 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{6400000}-\frac{1517 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{51200000}-\frac{31857 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{3200000 \left(x +\frac{3}{2}\right)^{4}}-\frac{1517 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{96000000}-\frac{1517 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{200000000}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{10240 \left(x +\frac{3}{2}\right)^{8}}"," ",0,"-1517/384000/(x+3/2)^6*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-107/44800/(x+3/2)^7*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-92537/6000000/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-1517/240000/(x+3/2)^5*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-2820103/120000000/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(7/2)+881377/50000000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-43993/24000000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-881377/25000000/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(7/2)+1517/6400000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)+1517/51200000*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))-1517/51200000*(-16*x+12*(x+3/2)^2-19)^(1/2)-31857/3200000/(x+3/2)^4*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-1517/96000000*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-1517/200000000*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-13/10240/(x+3/2)^8*(-4*x+3*(x+3/2)^2-19/4)^(7/2)","B"
2446,1,332,170,0.097000," ","int((5-x)*(3*x^2+5*x+2)^(5/2)/(2*x+3)^10,x)","\frac{6167 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{256000000}-\frac{6167 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{1920000 \left(x +\frac{3}{2}\right)^{6}}-\frac{1321 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{672000 \left(x +\frac{3}{2}\right)^{7}}-\frac{376187 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{30000000 \left(x +\frac{3}{2}\right)^{3}}-\frac{6167 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{1200000 \left(x +\frac{3}{2}\right)^{5}}-\frac{11464453 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{600000000 \left(x +\frac{3}{2}\right)^{2}}+\frac{3583027 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{250000000}-\frac{178843 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{120000000}-\frac{3583027 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{125000000 \left(x +\frac{3}{2}\right)}+\frac{6167 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{32000000}-\frac{6167 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{256000000}-\frac{129507 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{16000000 \left(x +\frac{3}{2}\right)^{4}}-\frac{6167 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{480000000}-\frac{6167 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{1000000000}-\frac{527 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{460800 \left(x +\frac{3}{2}\right)^{8}}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{23040 \left(x +\frac{3}{2}\right)^{9}}"," ",0,"-6167/1920000/(x+3/2)^6*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-1321/672000/(x+3/2)^7*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-376187/30000000/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-6167/1200000/(x+3/2)^5*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-11464453/600000000/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(7/2)+3583027/250000000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-178843/120000000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-3583027/125000000/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(7/2)+6167/32000000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)+6167/256000000*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))-6167/256000000*(-16*x+12*(x+3/2)^2-19)^(1/2)-129507/16000000/(x+3/2)^4*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-6167/480000000*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-6167/1000000000*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-527/460800/(x+3/2)^8*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-13/23040/(x+3/2)^9*(-4*x+3*(x+3/2)^2-19/4)^(7/2)","A"
2447,1,187,187,0.057000," ","int((5-x)*(2*x+3)^4*(3*x^2+5*x+2)^(7/2),x)","-\frac{16 \left(3 x^{2}+5 x +2\right)^{\frac{9}{2}} x^{4}}{39}+\frac{14 \left(3 x^{2}+5 x +2\right)^{\frac{9}{2}} x^{3}}{351}+\frac{2827 \left(3 x^{2}+5 x +2\right)^{\frac{9}{2}} x^{2}}{351}+\frac{84521 \left(3 x^{2}+5 x +2\right)^{\frac{9}{2}} x}{4212}+\frac{2595845 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{30958682112}+\frac{74167 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{7}{2}}}{186624}-\frac{2595845 \left(6 x +5\right) \sqrt{3 x^{2}+5 x +2}}{5159780352}+\frac{2595845 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}{644972544}-\frac{519169 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{5}{2}}}{13436928}+\frac{3495529 \left(3 x^{2}+5 x +2\right)^{\frac{9}{2}}}{227448}"," ",0,"-16/39*x^4*(3*x^2+5*x+2)^(9/2)+14/351*x^3*(3*x^2+5*x+2)^(9/2)+2827/351*x^2*(3*x^2+5*x+2)^(9/2)+84521/4212*x*(3*x^2+5*x+2)^(9/2)+74167/186624*(6*x+5)*(3*x^2+5*x+2)^(7/2)+2595845/30958682112*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))-2595845/5159780352*(6*x+5)*(3*x^2+5*x+2)^(1/2)+2595845/644972544*(6*x+5)*(3*x^2+5*x+2)^(3/2)-519169/13436928*(6*x+5)*(3*x^2+5*x+2)^(5/2)+3495529/227448*(3*x^2+5*x+2)^(9/2)","A"
2448,1,170,166,0.054000," ","int((5-x)*(2*x+3)^3*(3*x^2+5*x+2)^(7/2),x)","-\frac{2 \left(3 x^{2}+5 x +2\right)^{\frac{9}{2}} x^{3}}{9}+\frac{37 \left(3 x^{2}+5 x +2\right)^{\frac{9}{2}} x^{2}}{99}+\frac{22807 \left(3 x^{2}+5 x +2\right)^{\frac{9}{2}} x}{5940}+\frac{637609 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{10319560704}+\frac{91087 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{7}{2}}}{311040}-\frac{637609 \left(6 x +5\right) \sqrt{3 x^{2}+5 x +2}}{1719926784}+\frac{637609 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}{214990848}-\frac{637609 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{5}{2}}}{22394880}+\frac{322939 \left(3 x^{2}+5 x +2\right)^{\frac{9}{2}}}{64152}"," ",0,"-2/9*(3*x^2+5*x+2)^(9/2)*x^3+37/99*(3*x^2+5*x+2)^(9/2)*x^2+22807/5940*(3*x^2+5*x+2)^(9/2)*x+91087/311040*(6*x+5)*(3*x^2+5*x+2)^(7/2)+637609/10319560704*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))-637609/1719926784*(6*x+5)*(3*x^2+5*x+2)^(1/2)+637609/214990848*(6*x+5)*(3*x^2+5*x+2)^(3/2)-637609/22394880*(6*x+5)*(3*x^2+5*x+2)^(5/2)+322939/64152*(3*x^2+5*x+2)^(9/2)","A"
2449,1,153,145,0.056000," ","int((5-x)*(2*x+3)^2*(3*x^2+5*x+2)^(7/2),x)","-\frac{4 \left(3 x^{2}+5 x +2\right)^{\frac{9}{2}} x^{2}}{33}+\frac{197 \left(3 x^{2}+5 x +2\right)^{\frac{9}{2}} x}{495}+\frac{39389 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{859963392}+\frac{5627 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{7}{2}}}{25920}-\frac{39389 \left(6 x +5\right) \sqrt{3 x^{2}+5 x +2}}{143327232}+\frac{39389 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}{17915904}-\frac{39389 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{5}{2}}}{1866240}+\frac{8027 \left(3 x^{2}+5 x +2\right)^{\frac{9}{2}}}{5346}"," ",0,"-4/33*(3*x^2+5*x+2)^(9/2)*x^2+197/495*(3*x^2+5*x+2)^(9/2)*x+5627/25920*(6*x+5)*(3*x^2+5*x+2)^(7/2)+39389/859963392*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))-39389/143327232*(6*x+5)*(3*x^2+5*x+2)^(1/2)+39389/17915904*(6*x+5)*(3*x^2+5*x+2)^(3/2)-39389/1866240*(6*x+5)*(3*x^2+5*x+2)^(5/2)+8027/5346*(3*x^2+5*x+2)^(9/2)","A"
2450,1,136,124,0.046000," ","int((5-x)*(2*x+3)*(3*x^2+5*x+2)^(7/2),x)","-\frac{\left(3 x^{2}+5 x +2\right)^{\frac{9}{2}} x}{15}+\frac{9793 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{286654464}+\frac{53 \left(3 x^{2}+5 x +2\right)^{\frac{9}{2}}}{162}+\frac{1399 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{7}{2}}}{8640}-\frac{9793 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{5}{2}}}{622080}+\frac{9793 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}{5971968}-\frac{9793 \left(6 x +5\right) \sqrt{3 x^{2}+5 x +2}}{47775744}"," ",0,"-1/15*(3*x^2+5*x+2)^(9/2)*x+53/162*(3*x^2+5*x+2)^(9/2)+1399/8640*(6*x+5)*(3*x^2+5*x+2)^(7/2)-9793/622080*(6*x+5)*(3*x^2+5*x+2)^(5/2)+9793/5971968*(6*x+5)*(3*x^2+5*x+2)^(3/2)-9793/47775744*(6*x+5)*(3*x^2+5*x+2)^(1/2)+9793/286654464*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))","A"
2451,1,121,119,0.049000," ","int((5-x)*(3*x^2+5*x+2)^(7/2),x)","\frac{1225 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{47775744}+\frac{35 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{7}{2}}}{288}-\frac{245 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{5}{2}}}{20736}+\frac{1225 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}{995328}-\frac{1225 \left(6 x +5\right) \sqrt{3 x^{2}+5 x +2}}{7962624}-\frac{\left(3 x^{2}+5 x +2\right)^{\frac{9}{2}}}{27}"," ",0,"35/288*(6*x+5)*(3*x^2+5*x+2)^(7/2)-245/20736*(6*x+5)*(3*x^2+5*x+2)^(5/2)+1225/995328*(6*x+5)*(3*x^2+5*x+2)^(3/2)-1225/7962624*(6*x+5)*(3*x^2+5*x+2)^(1/2)+1225/47775744*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))-1/27*(3*x^2+5*x+2)^(9/2)","A"
2452,1,295,133,0.052000," ","int((5-x)*(3*x^2+5*x+2)^(7/2)/(2*x+3),x)","-\frac{1625 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{512}-\frac{679705 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\right)}{165888}-\frac{35 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{15925248}-\frac{\left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{7}{2}}}{96}+\frac{7 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{5}{2}}}{6912}-\frac{35 \left(6 x +5\right) \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}{331776}+\frac{35 \left(6 x +5\right) \sqrt{3 x^{2}+5 x +2}}{2654208}+\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{28}-\frac{13 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{72}-\frac{1105 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{3456}-\frac{22295 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{27648}+\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{16}+\frac{325 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{192}+\frac{1625 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{512}"," ",0,"-1/96*(6*x+5)*(3*x^2+5*x+2)^(7/2)+7/6912*(6*x+5)*(3*x^2+5*x+2)^(5/2)-35/331776*(6*x+5)*(3*x^2+5*x+2)^(3/2)+35/2654208*(6*x+5)*(3*x^2+5*x+2)^(1/2)-35/15925248*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))+13/28*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-13/72*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-1105/3456*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-22295/27648*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-679705/165888*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(-4*x+3*(x+3/2)^2-19/4)^(1/2))+13/16*(-4*x+3*(x+3/2)^2-19/4)^(5/2)+325/192*(-4*x+3*(x+3/2)^2-19/4)^(3/2)+1625/512*(-16*x+12*(x+3/2)^2-19)^(1/2)-1625/512*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))","B"
2453,1,232,138,0.059000," ","int((5-x)*(3*x^2+5*x+2)^(7/2)/(2*x+3)^2,x)","\frac{9225 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{512}+\frac{15434623 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\right)}{663552}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{10 \left(x +\frac{3}{2}\right)}-\frac{369 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{140}+\frac{277 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{288}+\frac{25183 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{13824}+\frac{506177 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{110592}-\frac{369 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{80}-\frac{615 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{64}-\frac{9225 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{512}+\frac{13 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{20}"," ",0,"-13/10/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-369/140*(-4*x+3*(x+3/2)^2-19/4)^(7/2)+277/288*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)+25183/13824*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)+506177/110592*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)+15434623/663552*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(-4*x+3*(x+3/2)^2-19/4)^(1/2))-369/80*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-615/64*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-9225/512*(-16*x+12*(x+3/2)^2-19)^(1/2)+9225/512*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))+13/20*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(7/2)","A"
2454,1,253,145,0.062000," ","int((5-x)*(3*x^2+5*x+2)^(7/2)/(2*x+3)^3,x)","-\frac{44625 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{1024}-\frac{12443893 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\right)}{221184}+\frac{27 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{10 \left(x +\frac{3}{2}\right)}+\frac{51 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{8}-\frac{1127 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{480}-\frac{20293 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{4608}-\frac{408107 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{36864}+\frac{357 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{32}+\frac{2975 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{128}+\frac{44625 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{1024}-\frac{27 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{20}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{40 \left(x +\frac{3}{2}\right)^{2}}"," ",0,"27/10/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(9/2)+51/8*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-1127/480*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-20293/4608*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-408107/36864*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-12443893/221184*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(-4*x+3*(x+3/2)^2-19/4)^(1/2))+357/32*(-4*x+3*(x+3/2)^2-19/4)^(5/2)+2975/128*(-4*x+3*(x+3/2)^2-19/4)^(3/2)+44625/1024*(-16*x+12*(x+3/2)^2-19)^(1/2)-44625/1024*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))-27/20*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-13/40/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(9/2)","A"
2455,1,274,154,0.057000," ","int((5-x)*(3*x^2+5*x+2)^(7/2)/(2*x+3)^4,x)","\frac{59745 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{1024}+\frac{2776697 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\right)}{36864}+\frac{57 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{200 \left(x +\frac{3}{2}\right)^{2}}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{120 \left(x +\frac{3}{2}\right)^{3}}+\frac{48 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{25}+\frac{1253 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{400}-\frac{96 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{25 \left(x +\frac{3}{2}\right)}+\frac{4529 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{768}+\frac{91063 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{6144}-\frac{59745 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{1024}-\frac{3983 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{128}-\frac{11949 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{800}-\frac{1707 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{200}"," ",0,"57/200/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-13/120/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(9/2)+48/25*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(7/2)+1253/400*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-96/25/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(9/2)+4529/768*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)+91063/6144*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)+59745/1024*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))+2776697/36864*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(-4*x+3*(x+3/2)^2-19/4)^(1/2))-59745/1024*(-16*x+12*(x+3/2)^2-19)^(1/2)-3983/128*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-11949/800*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-1707/200*(-4*x+3*(x+3/2)^2-19/4)^(7/2)","A"
2456,1,295,159,0.060000," ","int((5-x)*(3*x^2+5*x+2)^(7/2)/(2*x+3)^5,x)","-\frac{192171 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{4096}-\frac{744275 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\right)}{12288}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{320 \left(x +\frac{3}{2}\right)^{4}}-\frac{1263 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{4000 \left(x +\frac{3}{2}\right)^{2}}+\frac{3 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{100 \left(x +\frac{3}{2}\right)^{3}}-\frac{1479 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{1000}-\frac{10101 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{4000}+\frac{1479 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{500 \left(x +\frac{3}{2}\right)}-\frac{6069 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{1280}-\frac{24409 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{2048}+\frac{192171 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{4096}+\frac{64057 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{2560}+\frac{192171 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{16000}+\frac{27453 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{4000}"," ",0,"-13/320/(x+3/2)^4*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-1263/4000/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(9/2)+3/100/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-1479/1000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-10101/4000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)+1479/500/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-6069/1280*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-24409/2048*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-192171/4096*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))-744275/12288*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(-4*x+3*(x+3/2)^2-19/4)^(1/2))+192171/4096*(-16*x+12*(x+3/2)^2-19)^(1/2)+64057/2560*(-4*x+3*(x+3/2)^2-19/4)^(3/2)+192171/16000*(-4*x+3*(x+3/2)^2-19/4)^(5/2)+27453/4000*(-4*x+3*(x+3/2)^2-19/4)^(7/2)","A"
2457,1,316,161,0.064000," ","int((5-x)*(3*x^2+5*x+2)^(7/2)/(2*x+3)^6,x)","\frac{2345091 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{102400}+\frac{30275 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\right)}{1024}-\frac{27 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{8000 \left(x +\frac{3}{2}\right)^{4}}+\frac{10023 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{100000 \left(x +\frac{3}{2}\right)^{2}}-\frac{251 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{5000 \left(x +\frac{3}{2}\right)^{3}}+\frac{19059 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{25000}+\frac{122871 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{100000}-\frac{19059 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{12500 \left(x +\frac{3}{2}\right)}+\frac{37037 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{16000}+\frac{37233 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{6400}-\frac{2345091 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{102400}-\frac{781697 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{64000}-\frac{2345091 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{400000}-\frac{335013 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{100000}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{800 \left(x +\frac{3}{2}\right)^{5}}"," ",0,"-27/8000/(x+3/2)^4*(-4*x+3*(x+3/2)^2-19/4)^(9/2)+10023/100000/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-251/5000/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(9/2)+19059/25000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(7/2)+122871/100000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-19059/12500/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(9/2)+37037/16000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)+37233/6400*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)+2345091/102400*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))+30275/1024*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(-4*x+3*(x+3/2)^2-19/4)^(1/2))-2345091/102400*(-16*x+12*(x+3/2)^2-19)^(1/2)-781697/64000*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-2345091/400000*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-335013/100000*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-13/800/(x+3/2)^5*(-4*x+3*(x+3/2)^2-19/4)^(9/2)","A"
2458,1,337,161,0.069000," ","int((5-x)*(3*x^2+5*x+2)^(7/2)/(2*x+3)^7,x)","-\frac{6620481 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{1024000}-\frac{8547 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\right)}{1024}-\frac{1143 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{80000 \left(x +\frac{3}{2}\right)^{4}}-\frac{63693 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{1000000 \left(x +\frac{3}{2}\right)^{2}}-\frac{459 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{50000 \left(x +\frac{3}{2}\right)^{3}}-\frac{47169 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{250000}-\frac{349461 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{1000000}+\frac{47169 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{125000 \left(x +\frac{3}{2}\right)}-\frac{104517 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{160000}-\frac{210231 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{128000}+\frac{6620481 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{1024000}+\frac{2206827 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{640000}+\frac{6620481 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{4000000}+\frac{945783 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{1000000}-\frac{21 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{4000 \left(x +\frac{3}{2}\right)^{5}}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{1920 \left(x +\frac{3}{2}\right)^{6}}"," ",0,"-1143/80000/(x+3/2)^4*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-63693/1000000/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-459/50000/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-47169/250000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-349461/1000000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)+47169/125000/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-104517/160000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-210231/128000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-6620481/1024000*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))-8547/1024*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(-4*x+3*(x+3/2)^2-19/4)^(1/2))+6620481/1024000*(-16*x+12*(x+3/2)^2-19)^(1/2)+2206827/640000*(-4*x+3*(x+3/2)^2-19/4)^(3/2)+6620481/4000000*(-4*x+3*(x+3/2)^2-19/4)^(5/2)+945783/1000000*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-21/4000/(x+3/2)^5*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-13/1920/(x+3/2)^6*(-4*x+3*(x+3/2)^2-19/4)^(9/2)","B"
2459,1,358,161,0.075000," ","int((5-x)*(3*x^2+5*x+2)^(7/2)/(2*x+3)^8,x)","\frac{934161 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{1024000}+\frac{603 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\right)}{512}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{4480 \left(x +\frac{3}{2}\right)^{7}}-\frac{4719 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{560000 \left(x +\frac{3}{2}\right)^{4}}-\frac{15267 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{1000000 \left(x +\frac{3}{2}\right)^{2}}-\frac{5147 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{350000 \left(x +\frac{3}{2}\right)^{3}}+\frac{78423 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{1750000}+\frac{47541 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{1000000}-\frac{78423 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{875000 \left(x +\frac{3}{2}\right)}+\frac{14777 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{160000}+\frac{29661 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{128000}-\frac{934161 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{1024000}-\frac{311387 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{640000}-\frac{934161 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{4000000}-\frac{934161 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{7000000}-\frac{3 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{500 \left(x +\frac{3}{2}\right)^{5}}-\frac{3 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{896 \left(x +\frac{3}{2}\right)^{6}}"," ",0,"-13/4480/(x+3/2)^7*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-4719/560000/(x+3/2)^4*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-15267/1000000/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-5147/350000/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(9/2)+78423/1750000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(7/2)+47541/1000000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-78423/875000/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(9/2)+14777/160000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)+29661/128000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)+934161/1024000*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))+603/512*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(-4*x+3*(x+3/2)^2-19/4)^(1/2))-934161/1024000*(-16*x+12*(x+3/2)^2-19)^(1/2)-311387/640000*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-934161/4000000*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-934161/7000000*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-3/500/(x+3/2)^5*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-3/896/(x+3/2)^6*(-4*x+3*(x+3/2)^2-19/4)^(9/2)","B"
2460,1,379,161,0.085000," ","int((5-x)*(3*x^2+5*x+2)^(7/2)/(2*x+3)^9,x)","-\frac{1673211 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{40960000}-\frac{27 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}\right)}{512}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{10240 \left(x +\frac{3}{2}\right)^{8}}-\frac{81 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{44800 \left(x +\frac{3}{2}\right)^{7}}-\frac{158331 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{22400000 \left(x +\frac{3}{2}\right)^{4}}-\frac{664383 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{40000000 \left(x +\frac{3}{2}\right)^{2}}-\frac{150503 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{14000000 \left(x +\frac{3}{2}\right)^{3}}+\frac{767427 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{70000000}-\frac{135591 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{40000000}-\frac{767427 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{35000000 \left(x +\frac{3}{2}\right)}-\frac{25627 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{6400000}-\frac{53211 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{5120000}+\frac{1673211 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{40960000}+\frac{557737 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{25600000}+\frac{1673211 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{160000000}+\frac{1673211 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{280000000}-\frac{363 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{80000 \left(x +\frac{3}{2}\right)^{5}}-\frac{523 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{179200 \left(x +\frac{3}{2}\right)^{6}}"," ",0,"-13/10240/(x+3/2)^8*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-81/44800/(x+3/2)^7*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-158331/22400000/(x+3/2)^4*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-664383/40000000/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-150503/14000000/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(9/2)+767427/70000000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-135591/40000000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-767427/35000000/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-25627/6400000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-53211/5120000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-1673211/40960000*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))-27/512*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(-4*x+3*(x+3/2)^2-19/4)^(1/2))+1673211/40960000*(-16*x+12*(x+3/2)^2-19)^(1/2)+557737/25600000*(-4*x+3*(x+3/2)^2-19/4)^(3/2)+1673211/160000000*(-4*x+3*(x+3/2)^2-19/4)^(5/2)+1673211/280000000*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-363/80000/(x+3/2)^5*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-523/179200/(x+3/2)^6*(-4*x+3*(x+3/2)^2-19/4)^(9/2)","B"
2461,1,369,154,0.112000," ","int((5-x)*(3*x^2+5*x+2)^(7/2)/(2*x+3)^10,x)","-\frac{329 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{204800000}-\frac{47 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{51200 \left(x +\frac{3}{2}\right)^{8}}-\frac{47 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{32000 \left(x +\frac{3}{2}\right)^{7}}-\frac{90287 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{16000000 \left(x +\frac{3}{2}\right)^{4}}-\frac{2621237 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{200000000 \left(x +\frac{3}{2}\right)^{2}}-\frac{259393 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{30000000 \left(x +\frac{3}{2}\right)^{3}}+\frac{491479 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{50000000}-\frac{191149 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{200000000}-\frac{491479 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{25000000 \left(x +\frac{3}{2}\right)}+\frac{9541 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{96000000}-\frac{329 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{25600000}+\frac{329 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{204800000}+\frac{329 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{384000000}+\frac{329 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{800000000}+\frac{47 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{200000000}-\frac{1457 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{400000 \left(x +\frac{3}{2}\right)^{5}}-\frac{893 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{384000 \left(x +\frac{3}{2}\right)^{6}}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{23040 \left(x +\frac{3}{2}\right)^{9}}"," ",0,"-47/51200/(x+3/2)^8*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-47/32000/(x+3/2)^7*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-90287/16000000/(x+3/2)^4*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-2621237/200000000/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-259393/30000000/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(9/2)+491479/50000000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-191149/200000000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-491479/25000000/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(9/2)+9541/96000000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-329/25600000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-329/204800000*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))+329/204800000*(-16*x+12*(x+3/2)^2-19)^(1/2)+329/384000000*(-4*x+3*(x+3/2)^2-19/4)^(3/2)+329/800000000*(-4*x+3*(x+3/2)^2-19/4)^(5/2)+47/200000000*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-1457/400000/(x+3/2)^5*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-893/384000/(x+3/2)^6*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-13/23040/(x+3/2)^9*(-4*x+3*(x+3/2)^2-19/4)^(9/2)","B"
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2463,1,411,196,0.194000," ","int((5-x)*(3*x^2+5*x+2)^(7/2)/(2*x+3)^12,x)","-\frac{53697 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{51200000000}-\frac{621 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{2816000 \left(x +\frac{3}{2}\right)^{10}}-\frac{7671 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{12800000 \left(x +\frac{3}{2}\right)^{8}}-\frac{7671 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{8000000 \left(x +\frac{3}{2}\right)^{7}}-\frac{14735991 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{4000000000 \left(x +\frac{3}{2}\right)^{4}}-\frac{427819341 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{50000000000 \left(x +\frac{3}{2}\right)^{2}}-\frac{14112083 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{2500000000 \left(x +\frac{3}{2}\right)^{3}}+\frac{80215647 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{12500000000}-\frac{31197957 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{50000000000}-\frac{80215647 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{6250000000 \left(x +\frac{3}{2}\right)}+\frac{519071 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{8000000000}-\frac{53697 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{6400000000}+\frac{53697 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{51200000000}+\frac{17899 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{32000000000}+\frac{53697 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{200000000000}+\frac{7671 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{50000000000}-\frac{237801 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{100000000 \left(x +\frac{3}{2}\right)^{5}}-\frac{48583 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{32000000 \left(x +\frac{3}{2}\right)^{6}}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{112640 \left(x +\frac{3}{2}\right)^{11}}-\frac{61 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{165000 \left(x +\frac{3}{2}\right)^{9}}"," ",0,"-621/2816000/(x+3/2)^10*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-7671/12800000/(x+3/2)^8*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-7671/8000000/(x+3/2)^7*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-14735991/4000000000/(x+3/2)^4*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-427819341/50000000000/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-14112083/2500000000/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(9/2)+80215647/12500000000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-31197957/50000000000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-80215647/6250000000/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(9/2)+519071/8000000000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-53697/6400000000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-53697/51200000000*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))+53697/51200000000*(-16*x+12*(x+3/2)^2-19)^(1/2)+17899/32000000000*(-4*x+3*(x+3/2)^2-19/4)^(3/2)+53697/200000000000*(-4*x+3*(x+3/2)^2-19/4)^(5/2)+7671/50000000000*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-237801/100000000/(x+3/2)^5*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-48583/32000000/(x+3/2)^6*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-13/112640/(x+3/2)^11*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-61/165000/(x+3/2)^9*(-4*x+3*(x+3/2)^2-19/4)^(9/2)","B"
2464,1,432,217,9.365000," ","int((5-x)*(3*x^2+5*x+2)^(7/2)/(2*x+3)^13,x)","-\frac{175119 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{204800000000}-\frac{2067 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{11264000 \left(x +\frac{3}{2}\right)^{10}}-\frac{25017 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{51200000 \left(x +\frac{3}{2}\right)^{8}}-\frac{25017 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{32000000 \left(x +\frac{3}{2}\right)^{7}}-\frac{48057657 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{16000000000 \left(x +\frac{3}{2}\right)^{4}}-\frac{1395223107 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{200000000000 \left(x +\frac{3}{2}\right)^{2}}-\frac{46022941 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{10000000000 \left(x +\frac{3}{2}\right)^{3}}+\frac{261602769 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{50000000000}-\frac{101744139 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{200000000000}-\frac{261602769 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{25000000000 \left(x +\frac{3}{2}\right)}+\frac{1692817 \left(6 x +5\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{32000000000}-\frac{175119 \left(6 x +5\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{25600000000}+\frac{175119 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}{204800000000}+\frac{58373 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}{128000000000}+\frac{175119 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{5}{2}}}{800000000000}+\frac{25017 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{7}{2}}}{200000000000}-\frac{775527 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{400000000 \left(x +\frac{3}{2}\right)^{5}}-\frac{158441 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{128000000 \left(x +\frac{3}{2}\right)^{6}}-\frac{3 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{28160 \left(x +\frac{3}{2}\right)^{11}}-\frac{6379 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{21120000 \left(x +\frac{3}{2}\right)^{9}}-\frac{13 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{9}{2}}}{245760 \left(x +\frac{3}{2}\right)^{12}}"," ",0,"-2067/11264000/(x+3/2)^10*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-25017/51200000/(x+3/2)^8*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-25017/32000000/(x+3/2)^7*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-48057657/16000000000/(x+3/2)^4*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-1395223107/200000000000/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-46022941/10000000000/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(9/2)+261602769/50000000000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-101744139/200000000000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(5/2)-261602769/25000000000/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(9/2)+1692817/32000000000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(3/2)-175119/25600000000*(6*x+5)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-175119/204800000000*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))+175119/204800000000*(-16*x+12*(x+3/2)^2-19)^(1/2)+58373/128000000000*(-4*x+3*(x+3/2)^2-19/4)^(3/2)+175119/800000000000*(-4*x+3*(x+3/2)^2-19/4)^(5/2)+25017/200000000000*(-4*x+3*(x+3/2)^2-19/4)^(7/2)-775527/400000000/(x+3/2)^5*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-158441/128000000/(x+3/2)^6*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-3/28160/(x+3/2)^11*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-6379/21120000/(x+3/2)^9*(-4*x+3*(x+3/2)^2-19/4)^(9/2)-13/245760/(x+3/2)^12*(-4*x+3*(x+3/2)^2-19/4)^(9/2)","A"
2465,1,981,385,0.059000," ","int((B*x+A)*(e*x+d)^3/(c*x^2+b*x+a)^(1/2),x)","\frac{\sqrt{c \,x^{2}+b x +a}\, B \,e^{3} x^{3}}{4 c}+\frac{\sqrt{c \,x^{2}+b x +a}\, A \,e^{3} x^{2}}{3 c}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, B b \,e^{3} x^{2}}{24 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, B d \,e^{2} x^{2}}{c}+\frac{3 A a b \,e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{5}{2}}}-\frac{3 A a d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}-\frac{5 A \,b^{3} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}+\frac{9 A \,b^{2} d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}-\frac{3 A b \,d^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}+\frac{A \,d^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}}+\frac{3 B \,a^{2} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}-\frac{15 B a \,b^{2} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}+\frac{9 B a b d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{5}{2}}}-\frac{3 B a \,d^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}+\frac{35 B \,b^{4} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{9}{2}}}-\frac{15 B \,b^{3} d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}+\frac{9 B \,b^{2} d^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}-\frac{B b \,d^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, A b \,e^{3} x}{12 c^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A d \,e^{2} x}{2 c}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, B a \,e^{3} x}{8 c^{2}}+\frac{35 \sqrt{c \,x^{2}+b x +a}\, B \,b^{2} e^{3} x}{96 c^{3}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, B b d \,e^{2} x}{4 c^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, B \,d^{2} e x}{2 c}-\frac{2 \sqrt{c \,x^{2}+b x +a}\, A a \,e^{3}}{3 c^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{2} e^{3}}{8 c^{3}}-\frac{9 \sqrt{c \,x^{2}+b x +a}\, A b d \,e^{2}}{4 c^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,d^{2} e}{c}+\frac{55 \sqrt{c \,x^{2}+b x +a}\, B a b \,e^{3}}{48 c^{3}}-\frac{2 \sqrt{c \,x^{2}+b x +a}\, B a d \,e^{2}}{c^{2}}-\frac{35 \sqrt{c \,x^{2}+b x +a}\, B \,b^{3} e^{3}}{64 c^{4}}+\frac{15 \sqrt{c \,x^{2}+b x +a}\, B \,b^{2} d \,e^{2}}{8 c^{3}}-\frac{9 \sqrt{c \,x^{2}+b x +a}\, B b \,d^{2} e}{4 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, B \,d^{3}}{c}"," ",0,"-5/4*b/c^2*x*(c*x^2+b*x+a)^(1/2)*B*d*e^2+9/4*b/c^(5/2)*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*B*d*e^2+x^2/c*(c*x^2+b*x+a)^(1/2)*B*d*e^2-3/8*B*e^3*a/c^2*x*(c*x^2+b*x+a)^(1/2)-7/24*B*e^3*b/c^2*x^2*(c*x^2+b*x+a)^(1/2)+35/96*B*e^3*b^2/c^3*x*(c*x^2+b*x+a)^(1/2)-15/16*B*e^3*b^2/c^(7/2)*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+55/48*B*e^3*b/c^3*a*(c*x^2+b*x+a)^(1/2)+3/4*b/c^(5/2)*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*A*e^3-2*a/c^2*(c*x^2+b*x+a)^(1/2)*B*d*e^2+3/2*x/c*(c*x^2+b*x+a)^(1/2)*A*d*e^2+3/2*x/c*(c*x^2+b*x+a)^(1/2)*B*d^2*e-5/12*b/c^2*x*(c*x^2+b*x+a)^(1/2)*A*e^3+15/8*b^2/c^3*(c*x^2+b*x+a)^(1/2)*B*d*e^2-15/16*b^3/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*B*d*e^2-3/2*a/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*A*d*e^2+9/8*b^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*B*d^2*e-3/2*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*A*d^2*e-3/2*a/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*B*d^2*e-9/4*b/c^2*(c*x^2+b*x+a)^(1/2)*A*d*e^2-9/4*b/c^2*(c*x^2+b*x+a)^(1/2)*B*d^2*e+9/8*b^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*A*d*e^2+A*d^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))/c^(1/2)+1/c*(c*x^2+b*x+a)^(1/2)*B*d^3+1/3*x^2/c*(c*x^2+b*x+a)^(1/2)*A*e^3+5/8*b^2/c^3*(c*x^2+b*x+a)^(1/2)*A*e^3-35/64*B*e^3*b^3/c^4*(c*x^2+b*x+a)^(1/2)+35/128*B*e^3*b^4/c^(9/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/8*B*e^3*a^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/2*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*B*d^3+1/4*B*e^3*x^3/c*(c*x^2+b*x+a)^(1/2)-5/16*b^3/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*A*e^3-2/3*a/c^2*(c*x^2+b*x+a)^(1/2)*A*e^3+3/c*(c*x^2+b*x+a)^(1/2)*A*d^2*e","B"
2466,1,537,216,0.060000," ","int((B*x+A)*(e*x+d)^2/(c*x^2+b*x+a)^(1/2),x)","\frac{\sqrt{c \,x^{2}+b x +a}\, B \,e^{2} x^{2}}{3 c}-\frac{A a \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}+\frac{3 A \,b^{2} e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}-\frac{A b d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}+\frac{A \,d^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}}+\frac{3 B a b \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{5}{2}}}-\frac{B a d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}-\frac{5 B \,b^{3} e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}+\frac{3 B \,b^{2} d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{5}{2}}}-\frac{B b \,d^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}+\frac{\sqrt{c \,x^{2}+b x +a}\, A \,e^{2} x}{2 c}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, B b \,e^{2} x}{12 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, B d e x}{c}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, A b \,e^{2}}{4 c^{2}}+\frac{2 \sqrt{c \,x^{2}+b x +a}\, A d e}{c}-\frac{2 \sqrt{c \,x^{2}+b x +a}\, B a \,e^{2}}{3 c^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, B \,b^{2} e^{2}}{8 c^{3}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, B b d e}{2 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, B \,d^{2}}{c}"," ",0,"1/3*B*e^2*x^2/c*(c*x^2+b*x+a)^(1/2)-5/12*B*e^2*b/c^2*x*(c*x^2+b*x+a)^(1/2)+5/8*B*e^2*b^2/c^3*(c*x^2+b*x+a)^(1/2)-5/16*B*e^2*b^3/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/4*B*e^2*b/c^(5/2)*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-2/3*B*e^2*a/c^2*(c*x^2+b*x+a)^(1/2)+1/2*x/c*(c*x^2+b*x+a)^(1/2)*A*e^2+x/c*(c*x^2+b*x+a)^(1/2)*B*d*e-3/4*b/c^2*(c*x^2+b*x+a)^(1/2)*A*e^2-3/2*b/c^2*(c*x^2+b*x+a)^(1/2)*B*d*e+3/8*b^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*A*e^2+3/4*b^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*B*d*e-1/2*a/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*A*e^2-a/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*B*d*e+2/c*(c*x^2+b*x+a)^(1/2)*A*d*e+1/c*(c*x^2+b*x+a)^(1/2)*B*d^2-b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*A*d*e-1/2*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*B*d^2+A*d^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))/c^(1/2)","B"
2467,1,243,102,0.059000," ","int((B*x+A)*(e*x+d)/(c*x^2+b*x+a)^(1/2),x)","-\frac{A b e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}+\frac{A d \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}}-\frac{B a e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}+\frac{3 B \,b^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}-\frac{B b d \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}+\frac{\sqrt{c \,x^{2}+b x +a}\, B e x}{2 c}+\frac{\sqrt{c \,x^{2}+b x +a}\, A e}{c}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, B b e}{4 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, B d}{c}"," ",0,"1/2*B*e*x/c*(c*x^2+b*x+a)^(1/2)-3/4*B*e*b/c^2*(c*x^2+b*x+a)^(1/2)+3/8*B*e*b^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/2*B*e*a/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/c*(c*x^2+b*x+a)^(1/2)*A*e+1/c*(c*x^2+b*x+a)^(1/2)*B*d-1/2*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*A*e-1/2*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*B*d+A*d*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))/c^(1/2)","B"
2468,1,81,55,0.050000," ","int((B*x+A)/(c*x^2+b*x+a)^(1/2),x)","\frac{A \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}}-\frac{B b \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}+\frac{\sqrt{c \,x^{2}+b x +a}\, B}{c}"," ",0,"(c*x^2+b*x+a)^(1/2)*B/c-1/2*B*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+A*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))/c^(1/2)","A"
2469,1,349,116,0.060000," ","int((B*x+A)/(e*x+d)/(c*x^2+b*x+a)^(1/2),x)","-\frac{A \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e}+\frac{B d \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e^{2}}+\frac{B \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}\, e}"," ",0,"B/e*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))/c^(1/2)-1/e/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*A+1/e^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*B*d","B"
2470,1,1033,138,0.062000," ","int((B*x+A)/(e*x+d)^2/(c*x^2+b*x+a)^(1/2),x)","\frac{A b \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{A c d \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e}-\frac{B b d \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e}+\frac{B c \,d^{2} \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e^{2}}-\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, A}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(x +\frac{d}{e}\right)}+\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, B d}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(x +\frac{d}{e}\right) e}-\frac{B \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e^{2}}"," ",0,"-1/(a*e^2-b*d*e+c*d^2)/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*A+1/e/(a*e^2-b*d*e+c*d^2)/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*B*d+1/2/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b*A-1/2/e/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b*B*d-1/e/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*c*d*A+1/e^2/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*c*d^2*B-B/e^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))","B"
2471,1,2204,253,0.122000," ","int((B*x+A)/(e*x+d)^3/(c*x^2+b*x+a)^(1/2),x)","-\frac{3 A \,b^{2} e \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{8 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{3 A b c d \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{3 A \,c^{2} d^{2} \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e}+\frac{3 B \,b^{2} d \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{8 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{3 B b c \,d^{2} \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e}+\frac{3 B \,c^{2} d^{3} \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e^{2}}+\frac{3 \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, A b e}{4 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(x +\frac{d}{e}\right)}-\frac{3 \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, A c d}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(x +\frac{d}{e}\right)}-\frac{3 \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, B b d}{4 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(x +\frac{d}{e}\right)}+\frac{3 \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, B c \,d^{2}}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(x +\frac{d}{e}\right) e}+\frac{A c \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e}+\frac{B b \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e}-\frac{3 B c d \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e^{2}}-\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, A}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(x +\frac{d}{e}\right)^{2} e}+\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, B d}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(x +\frac{d}{e}\right)^{2} e^{2}}-\frac{\sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, B}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(x +\frac{d}{e}\right) e}"," ",0,"-B/e/(a*e^2-b*d*e+c*d^2)/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)+1/2*B/e/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b-3/2*B/e^2/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*c*d-1/2/e/(a*e^2-b*d*e+c*d^2)/(x+d/e)^2*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*A+1/2/e^2/(a*e^2-b*d*e+c*d^2)/(x+d/e)^2*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*B*d+3/4*e/(a*e^2-b*d*e+c*d^2)^2/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*A-3/4/(a*e^2-b*d*e+c*d^2)^2/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*B*d-3/2/(a*e^2-b*d*e+c*d^2)^2/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*c*d*A+3/2/e/(a*e^2-b*d*e+c*d^2)^2/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*c*d^2*B-3/8*e/(a*e^2-b*d*e+c*d^2)^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b^2*A+3/8/(a*e^2-b*d*e+c*d^2)^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b^2*B*d+3/2/(a*e^2-b*d*e+c*d^2)^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b*c*d*A-3/2/e/(a*e^2-b*d*e+c*d^2)^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b*c*d^2*B-3/2/e/(a*e^2-b*d*e+c*d^2)^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*c^2*d^2*A+3/2/e^2/(a*e^2-b*d*e+c*d^2)^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*c^2*d^3*B+1/2/e*c/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*A","B"
2472,1,3898,422,0.071000," ","int((B*x+A)/(e*x+d)^4/(c*x^2+b*x+a)^(1/2),x)","\text{output too large to display}"," ",0,"-1/3/e^2/(a*e^2-b*d*e+c*d^2)/(x+d/e)^3*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*A-1/2*B/e^2/(a*e^2-b*d*e+c*d^2)/(x+d/e)^2*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)-3/4/(a*e^2-b*d*e+c*d^2)^2*c/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b*A-5/8*e^2/(a*e^2-b*d*e+c*d^2)^3/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2*A+5/16*e^2/(a*e^2-b*d*e+c*d^2)^3/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b^3*A+1/2*B/e^2*c/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))+1/3/e^3/(a*e^2-b*d*e+c*d^2)/(x+d/e)^3*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*B*d-5/2/(a*e^2-b*d*e+c*d^2)^3/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*c^2*d^2*A+9/4*B/e/(a*e^2-b*d*e+c*d^2)^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b*c*d-15/4/e/(a*e^2-b*d*e+c*d^2)^3/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b*c^2*d^3*B+5/2*e/(a*e^2-b*d*e+c*d^2)^3/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*c*d*A-15/8*e/(a*e^2-b*d*e+c*d^2)^3/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b^2*c*d*A-5/6/e/(a*e^2-b*d*e+c*d^2)^2/(x+d/e)^2*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*c*d*A-3*B/e^2/(a*e^2-b*d*e+c*d^2)^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*c^2*d^2+3/4*B/(a*e^2-b*d*e+c*d^2)^2/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b+5/12/(a*e^2-b*d*e+c*d^2)^2/(x+d/e)^2*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*A-13/6*B/e/(a*e^2-b*d*e+c*d^2)^2/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*c*d+5/6/e^2/(a*e^2-b*d*e+c*d^2)^2/(x+d/e)^2*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*c*d^2*B+5/8*e/(a*e^2-b*d*e+c*d^2)^3/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2*B*d+5/2/e/(a*e^2-b*d*e+c*d^2)^3/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*c^2*d^3*B-5/16*e/(a*e^2-b*d*e+c*d^2)^3/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b^3*B*d+2/3/(a*e^2-b*d*e+c*d^2)^2*c/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*A-3/8*B/(a*e^2-b*d*e+c*d^2)^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b^2+5/2/e^2/(a*e^2-b*d*e+c*d^2)^3/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*c^3*d^4*B+3/2/e/(a*e^2-b*d*e+c*d^2)^2*c^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*d*A-5/12/e/(a*e^2-b*d*e+c*d^2)^2/(x+d/e)^2*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*B*d+15/4/(a*e^2-b*d*e+c*d^2)^3/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b*c^2*d^2*A-5/2/(a*e^2-b*d*e+c*d^2)^3/(x+d/e)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*c*d^2*B+15/8/(a*e^2-b*d*e+c*d^2)^3/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b^2*c*d^2*B-5/2/e/(a*e^2-b*d*e+c*d^2)^3/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*c^3*d^3*A","B"
2473,1,1451,309,0.069000," ","int((B*x+A)*(e*x+d)^3/(c*x^2+b*x+a)^(3/2),x)","\frac{4 A a b \,e^{3} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{3 A \,b^{3} e^{3} x}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{3 A \,b^{2} d \,e^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{6 A b \,d^{2} e x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}-\frac{13 B a \,b^{2} e^{3} x}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{12 B a b d \,e^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}+\frac{15 B \,b^{4} e^{3} x}{8 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{9 B \,b^{3} d \,e^{2} x}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{3 B \,b^{2} d^{2} e x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{2 B b \,d^{3} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}+\frac{B \,e^{3} x^{3}}{2 \sqrt{c \,x^{2}+b x +a}\, c}+\frac{2 A a \,b^{2} e^{3}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{3 A \,b^{4} e^{3}}{4 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{3 A \,b^{3} d \,e^{2}}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{3 A \,b^{2} d^{2} e}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}+\frac{A \,e^{3} x^{2}}{\sqrt{c \,x^{2}+b x +a}\, c}-\frac{13 B a \,b^{3} e^{3}}{4 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{6 B a \,b^{2} d \,e^{2}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{15 B \,b^{5} e^{3}}{16 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{4}}-\frac{9 B \,b^{4} d \,e^{2}}{4 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{3 B \,b^{3} d^{2} e}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{B \,b^{2} d^{3}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{5 B b \,e^{3} x^{2}}{4 \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{3 B d \,e^{2} x^{2}}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{3 A b \,e^{3} x}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{3 A d \,e^{2} x}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{2 \left(2 c x +b \right) A \,d^{3}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}+\frac{3 B a \,e^{3} x}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{15 B \,b^{2} e^{3} x}{8 \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{9 B b d \,e^{2} x}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{3 B \,d^{2} e x}{\sqrt{c \,x^{2}+b x +a}\, c}-\frac{3 A b \,e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{5}{2}}}+\frac{3 A d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}-\frac{3 B a \,e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{5}{2}}}+\frac{15 B \,b^{2} e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{7}{2}}}-\frac{9 B b d \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{5}{2}}}+\frac{3 B \,d^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}+\frac{2 A a \,e^{3}}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{3 A \,b^{2} e^{3}}{4 \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{3 A b d \,e^{2}}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{3 A \,d^{2} e}{\sqrt{c \,x^{2}+b x +a}\, c}-\frac{13 B a b \,e^{3}}{4 \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{6 B a d \,e^{2}}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{15 B \,b^{3} e^{3}}{16 \sqrt{c \,x^{2}+b x +a}\, c^{4}}-\frac{9 B \,b^{2} d \,e^{2}}{4 \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{3 B b \,d^{2} e}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{B \,d^{3}}{\sqrt{c \,x^{2}+b x +a}\, c}"," ",0,"-2*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*B*d^3-b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*B*d^3-9/2*b/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*B*d*e^2+6*a/c^2/(c*x^2+b*x+a)^(1/2)*B*d*e^2+3*x^2/c/(c*x^2+b*x+a)^(1/2)*B*d*e^2-9/4*b^4/c^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*B*d*e^2+2*a/c^2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*A*e^3-3/2*b^3/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*A*e^3-3*b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*A*d^2*e+3/2*b^3/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*A*d*e^2+3/2*b^3/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*B*d^2*e-6*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*A*d^2*e-9/2*b^3/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*B*d*e^2+4*a/c*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*A*e^3+3*b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*A*d*e^2+3*b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*B*d^2*e+12*a/c*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*B*d*e^2+15/8*B*e^3*b^4/c^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+15/16*B*e^3*b^5/c^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-5/4*B*e^3*b/c^2*x^2/(c*x^2+b*x+a)^(1/2)-3*x/c/(c*x^2+b*x+a)^(1/2)*A*d*e^2+3/2*b/c^2/(c*x^2+b*x+a)^(1/2)*B*d^2*e-1/c/(c*x^2+b*x+a)^(1/2)*B*d^3+1/2*B*e^3*x^3/c/(c*x^2+b*x+a)^(1/2)+15/16*B*e^3*b^3/c^4/(c*x^2+b*x+a)^(1/2)+15/8*B*e^3*b^2/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-3/2*B*e^3*a/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*A*d*e^2+2*a/c^2/(c*x^2+b*x+a)^(1/2)*A*e^3-3/2*b/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*A*e^3-3*x/c/(c*x^2+b*x+a)^(1/2)*B*d^2*e+3/2*b/c^2/(c*x^2+b*x+a)^(1/2)*A*d*e^2+3/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*B*d^2*e-3/c/(c*x^2+b*x+a)^(1/2)*A*d^2*e-13/2*B*e^3*b^2/c^2*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+6*a/c^2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*B*d*e^2-13/4*B*e^3*b^3/c^3*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+9/2*b/c^2*x/(c*x^2+b*x+a)^(1/2)*B*d*e^2+2*A*d^3*(2*c*x+b)/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+x^2/c/(c*x^2+b*x+a)^(1/2)*A*e^3-3/4*b^2/c^3/(c*x^2+b*x+a)^(1/2)*A*e^3-3/4*b^4/c^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*A*e^3-13/4*B*e^3*b/c^3*a/(c*x^2+b*x+a)^(1/2)+3/2*B*e^3*a/c^2*x/(c*x^2+b*x+a)^(1/2)-15/8*B*e^3*b^2/c^3*x/(c*x^2+b*x+a)^(1/2)+3/2*b/c^2*x/(c*x^2+b*x+a)^(1/2)*A*e^3-9/4*b^2/c^3/(c*x^2+b*x+a)^(1/2)*B*d*e^2","B"
2474,1,779,196,0.053000," ","int((B*x+A)*(e*x+d)^2/(c*x^2+b*x+a)^(3/2),x)","\frac{A \,b^{2} e^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{4 A b d e x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}+\frac{4 B a b \,e^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{3 B \,b^{3} e^{2} x}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{2 B \,b^{2} d e x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{2 B b \,d^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}+\frac{A \,b^{3} e^{2}}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{2 A \,b^{2} d e}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}+\frac{2 B a \,b^{2} e^{2}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{3 B \,b^{4} e^{2}}{4 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{B \,b^{3} d e}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{B \,b^{2} d^{2}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}+\frac{B \,e^{2} x^{2}}{\sqrt{c \,x^{2}+b x +a}\, c}-\frac{A \,e^{2} x}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{2 \left(2 c x +b \right) A \,d^{2}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}+\frac{3 B b \,e^{2} x}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{2 B d e x}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{A \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}-\frac{3 B b \,e^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{5}{2}}}+\frac{2 B d e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}+\frac{A b \,e^{2}}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{2 A d e}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{2 B a \,e^{2}}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{3 B \,b^{2} e^{2}}{4 \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{B b d e}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{B \,d^{2}}{\sqrt{c \,x^{2}+b x +a}\, c}"," ",0,"2*A*d^2*(2*c*x+b)/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-3/4*B*e^2*b^2/c^3/(c*x^2+b*x+a)^(1/2)-2*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*B*d^2-2*x/c/(c*x^2+b*x+a)^(1/2)*B*d*e+b/c^2/(c*x^2+b*x+a)^(1/2)*B*d*e+1/2*b^3/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*A*e^2+3/2*B*e^2*b/c^2*x/(c*x^2+b*x+a)^(1/2)-3/4*B*e^2*b^4/c^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*B*d^2-1/c/(c*x^2+b*x+a)^(1/2)*B*d^2+1/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*A*e^2+2*B*e^2*a/c^2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-2*b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*A*d*e-4*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*A*d*e+b^3/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*B*d*e+b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*A*e^2-3/2*B*e^2*b^3/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+4*B*e^2*a/c*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+2*b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*B*d*e+1/2*b/c^2/(c*x^2+b*x+a)^(1/2)*A*e^2+B*e^2*x^2/c/(c*x^2+b*x+a)^(1/2)+2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*B*d*e-2/c/(c*x^2+b*x+a)^(1/2)*A*d*e-3/2*B*e^2*b/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+2*B*e^2*a/c^2/(c*x^2+b*x+a)^(1/2)-x/c/(c*x^2+b*x+a)^(1/2)*A*e^2","B"
2475,1,341,116,0.053000," ","int((B*x+A)*(e*x+d)/(c*x^2+b*x+a)^(3/2),x)","-\frac{2 A b e x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}+\frac{B \,b^{2} e x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{2 B b d x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}-\frac{A \,b^{2} e}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}+\frac{B \,b^{3} e}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{B \,b^{2} d}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}+\frac{2 \left(2 c x +b \right) A d}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}-\frac{B e x}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{B e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}-\frac{A e}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{B b e}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{B d}{\sqrt{c \,x^{2}+b x +a}\, c}"," ",0,"-B*e*x/c/(c*x^2+b*x+a)^(1/2)+1/2*B*e*b/c^2/(c*x^2+b*x+a)^(1/2)+B*e*b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+1/2*B*e*b^3/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+B*e/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/c/(c*x^2+b*x+a)^(1/2)*A*e-1/c/(c*x^2+b*x+a)^(1/2)*B*d-2*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*A*e-2*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*B*d-b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*A*e-b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*B*d+2*A*d*(2*c*x+b)/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)","B"
2476,1,45,43,0.050000," ","int((B*x+A)/(c*x^2+b*x+a)^(3/2),x)","\frac{4 A c x -2 B b x +2 A b -4 B a}{\sqrt{c \,x^{2}+b x +a}\, \left(4 a c -b^{2}\right)}"," ",0,"2/(c*x^2+b*x+a)^(1/2)*(2*A*c*x-B*b*x+A*b-2*B*a)/(4*a*c-b^2)","A"
2477,1,1261,178,0.056000," ","int((B*x+A)/(e*x+d)/(c*x^2+b*x+a)^(3/2),x)","-\frac{2 A b c e x}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{4 A \,c^{2} d x}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{2 B b c d x}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{4 B \,c^{2} d^{2} x}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e}-\frac{A \,b^{2} e}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{2 A b c d}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{B \,b^{2} d}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{2 B b c \,d^{2}}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, e}-\frac{A e \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{B d \ln \left(\frac{\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{2 a \,e^{2}-2 b d e +2 c \,d^{2}}{e^{2}}+2 \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}\, \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}{x +\frac{d}{e}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{A e}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}-\frac{B d}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{\left(x +\frac{d}{e}\right)^{2} c +\frac{\left(b e -2 c d \right) \left(x +\frac{d}{e}\right)}{e}+\frac{a \,e^{2}-b d e +c \,d^{2}}{e^{2}}}}+\frac{2 \left(2 c x +b \right) B}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, e}"," ",0,"2*B/e*(2*c*x+b)/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+e/(a*e^2-b*d*e+c*d^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*A-1/(a*e^2-b*d*e+c*d^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*B*d-2*e/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b*c*A+2/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b*c*B*d+4/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*c^2*d*A-4/e/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*c^2*d^2*B-e/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2*A+1/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2*B*d+2/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*c*d*A-2/e/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*c*d^2*B-e/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*A+1/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*B*d","B"
2478,1,3090,320,0.065000," ","int((B*x+A)/(e*x+d)^2/(c*x^2+b*x+a)^(3/2),x)","\text{output too large to display}"," ",0,"-12*e/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b*c^2*d*A-3*e/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b^2*c*B*d+3/2*e^2/(a*e^2-b*d*e+c*d^2)^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b*A-1/(a*e^2-b*d*e+c*d^2)/(x+d/e)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*A-B/(a*e^2-b*d*e+c*d^2)/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))+12/e*c^2/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*B*d+6/e*c/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*B*d-6/e/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*c^2*d^3*B+3*e^2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b^2*c*A+B/(a*e^2-b*d*e+c*d^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)-3/2*e^2/(a*e^2-b*d*e+c*d^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*A+3/2*e^2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^3*A+3*e/(a*e^2-b*d*e+c*d^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*c*d*A+3/(a*e^2-b*d*e+c*d^2)^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*c*d^2*B+3/2*e/(a*e^2-b*d*e+c*d^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*B*d+12/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b*c^2*d^2*B-12/e/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*c^3*d^3*B-6*e/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2*c*d*A-3/(a*e^2-b*d*e+c*d^2)^2/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*c*d^2*B-B/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2+12/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*c^3*d^2*A+6/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2*c*d^2*B-3/2*e/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^3*B*d-3/2*e/(a*e^2-b*d*e+c*d^2)^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*b*B*d+6/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*c^2*d^2*A-2*B/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b*c-8*c^2/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*A-4*c/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*A+1/e/(a*e^2-b*d*e+c*d^2)/(x+d/e)/((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*B*d-3*e/(a*e^2-b*d*e+c*d^2)^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln(((b*e-2*c*d)*(x+d/e)/e+2*(a*e^2-b*d*e+c*d^2)/e^2+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)*(x+d/e)/e+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*c*d*A","B"
2479,1,5528,525,0.068000," ","int((B*x+A)/(e*x+d)^3/(c*x^2+b*x+a)^(3/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
2480,1,3912,586,0.093000," ","int((B*x+A)*(e*x+d)^4/(c*x^2+b*x+a)^(5/2),x)","\text{output too large to display}"," ",0,"-1/6*b^4/c^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*B*d*e^3+2*b^2/c^2*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*B*d*e^3+16*b^2/c*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*B*d*e^3-4*b/c*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*A*d*e^3-4/3*b^4/c^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*B*d*e^3-2*b^2/c^2*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*A*d*e^3-6*b/c*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*B*d^2*e^2-1/3/c/(c*x^2+b*x+a)^(3/2)*B*d^4+1/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*A*e^4+8/3*B*e^4*a^2/c^3/(c*x^2+b*x+a)^(3/2)+5/96*B*e^4*b^4/c^5/(c*x^2+b*x+a)^(3/2)-5/4*B*e^4*b^2/c^4/(c*x^2+b*x+a)^(1/2)+B*e^4*x^4/c/(c*x^2+b*x+a)^(3/2)-5/2*B*e^4*b/c^(7/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/c^2*x/(c*x^2+b*x+a)^(1/2)*A*e^4-8/3*b^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*B*d^4+4*B*e^4*a^2/c^2*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x+8*b^3/c^2*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*B*d*e^3-48*b*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*B*d^2*e^2+b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*A*d^2*e^2+2/3*b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*B*d^3*e+2*a/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*b*A*d^2*e^2+4/c^2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*B*d*e^3-16*b^2/c*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*A*d*e^3-24*b^2/c*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*B*d^2*e^2+1/2*b^2/c^2*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*A*e^4+b^3/c^3*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*B*d*e^3-38/3*B*e^4*b^3/c^2*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x+32*B*e^4*a^2/c*b/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x-3*b^2/c^2*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*B*d^2*e^2-32*b*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*A*d*e^3+1/2*b^3/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*B*d^2*e^2+8/3*b^3/c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*A*d*e^3+4*b^2/c*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*A*e^4+4*b^3/c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*B*d^2*e^2+1/3*b^3/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*A*d*e^3-19/12*B*e^4*b^3/c^3*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x+64/3*a*c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*B*d^3*e-64/3*b*c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*A*d^3*e+1/4*b^3/c^3*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*A*e^4+4/3*b/c^3*a/(c*x^2+b*x+a)^(3/2)*B*d*e^3+1/2*b^2/c^3*x/(c*x^2+b*x+a)^(3/2)*B*d*e^3-4/3/c/(c*x^2+b*x+a)^(3/2)*A*d^3*e+4/3*a/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*b*B*d^3*e+32*a*c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*A*d^2*e^2+4/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*B*d*e^3-5/2*B*e^4*b^3/c^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+5/48*B*e^4*b^5/c^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x+5/6*B*e^4*b^5/c^3/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x-19/24*B*e^4*b^4/c^4*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)+B*e^4*a/c^3*b*x/(c*x^2+b*x+a)^(3/2)+2*B*e^4*a^2/c^3*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)-19/3*B*e^4*b^4/c^3*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)+1/4*b^4/c^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*B*d^2*e^2+2/c^3*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*B*d*e^3-2/3*b^5/c^3/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*B*d*e^3+1/2/c^3*b/(c*x^2+b*x+a)^(1/2)*A*e^4+16*B*e^4*a^2/c^2*b^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)-3*x/c/(c*x^2+b*x+a)^(3/2)*A*d^2*e^2+2/3*A*d^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*b-1/3*x^3/c/(c*x^2+b*x+a)^(3/2)*A*e^4-1/48*b^3/c^4/(c*x^2+b*x+a)^(3/2)*A*e^4+5/6*B*e^4*b/c^2*x^3/(c*x^2+b*x+a)^(3/2)+4*B*e^4*a/c^2*x^2/(c*x^2+b*x+a)^(3/2)+1/2*b/c^2/(c*x^2+b*x+a)^(3/2)*A*d^2*e^2+1/3*b/c^2/(c*x^2+b*x+a)^(3/2)*B*d^3*e-B*e^4*b^2/c^4*a/(c*x^2+b*x+a)^(3/2)+5/2*B*e^4*b/c^3*x/(c*x^2+b*x+a)^(1/2)-5/4*B*e^4*b^4/c^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-5/4*B*e^4*b^2/c^3*x^2/(c*x^2+b*x+a)^(3/2)+5/12*B*e^4*b^6/c^4/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)-5/16*B*e^4*b^3/c^4*x/(c*x^2+b*x+a)^(3/2)+5/96*B*e^4*b^6/c^5/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)-1/24*b^4/c^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*A*e^4+16/3*b^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*B*d^3*e+4*b^3/c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*A*d^2*e^2+8/3*b^3/c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*B*d^3*e+4*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*A*d^2*e^2+8/3*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*B*d^3*e+16*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*b*A*d^2*e^2+32/3*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*b*B*d^3*e-16/3*b*c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*B*d^4+1/3*b^3/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*B*d^3*e+8*b^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*A*d^2*e^2+2*b^4/c^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*B*d^2*e^2-3/2*b/c^2*x/(c*x^2+b*x+a)^(3/2)*B*d^2*e^2+1/6*b^4/c^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*A*d*e^3+2*b^3/c^2*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*A*e^4-b/c^2*x/(c*x^2+b*x+a)^(3/2)*A*d*e^3-8/3*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*A*d^3*e-4/3*b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*A*d^3*e+2*b/c^2*x^2/(c*x^2+b*x+a)^(3/2)*B*d*e^3+1/2*b^3/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*A*d^2*e^2+4/3*b^4/c^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*A*d*e^3+1/c^2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*A*e^4-1/3*b^4/c^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*A*e^4-1/12*b^5/c^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*B*d*e^3-1/48*b^5/c^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*A*e^4-1/6*b^5/c^3/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*A*e^4+1/3*b/c^3*a/(c*x^2+b*x+a)^(3/2)*A*e^4-4/c^2*x/(c*x^2+b*x+a)^(1/2)*B*d*e^3+2/c^3*b/(c*x^2+b*x+a)^(1/2)*B*d*e^3-4*x^2/c/(c*x^2+b*x+a)^(3/2)*A*d*e^3-6*x^2/c/(c*x^2+b*x+a)^(3/2)*B*d^2*e^2+1/6*b^2/c^3/(c*x^2+b*x+a)^(3/2)*A*d*e^3-4/3*x^3/c/(c*x^2+b*x+a)^(3/2)*B*d*e^3+1/4*b^2/c^3/(c*x^2+b*x+a)^(3/2)*B*d^2*e^2-8/3*a/c^2/(c*x^2+b*x+a)^(3/2)*A*d*e^3+4/3*A*d^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*c*x+32/3*A*d^4*c^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x+16/3*A*d^4*c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*b-2/3*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*B*d^4-1/3*b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*B*d^4-32/3*b^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*A*d^3*e-4*a/c^2/(c*x^2+b*x+a)^(3/2)*B*d^2*e^2+1/2*b/c^2*x^2/(c*x^2+b*x+a)^(3/2)*A*e^4+1/8*b^2/c^3*x/(c*x^2+b*x+a)^(3/2)*A*e^4-1/12*b^3/c^4/(c*x^2+b*x+a)^(3/2)*B*d*e^3+1/2/c^3*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*A*e^4-2*x/c/(c*x^2+b*x+a)^(3/2)*B*d^3*e","B"
2481,1,2443,381,0.102000," ","int((B*x+A)*(e*x+d)^3/(c*x^2+b*x+a)^(5/2),x)","-\frac{8 A a b \,e^{3} x}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}+\frac{16 A a c d \,e^{2} x}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}+\frac{2 A \,b^{3} e^{3} x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c}+\frac{4 A \,b^{2} d \,e^{2} x}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}-\frac{16 A b c \,d^{2} e x}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}+\frac{32 A \,c^{2} d^{3} x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}+\frac{4 B a \,b^{2} e^{3} x}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c}-\frac{24 B a b d \,e^{2} x}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}+\frac{16 B a c \,d^{2} e x}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}-\frac{B \,b^{4} e^{3} x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{2 B \,b^{3} d \,e^{2} x}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c}+\frac{4 B \,b^{2} d^{2} e x}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}-\frac{16 B b c \,d^{3} x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}-\frac{4 A a \,b^{2} e^{3}}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c}-\frac{A a b \,e^{3} x}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{8 A a b d \,e^{2}}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}+\frac{2 A a d \,e^{2} x}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}+\frac{A \,b^{4} e^{3}}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{2 A \,b^{3} d \,e^{2}}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c}+\frac{A \,b^{3} e^{3} x}{12 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}+\frac{A \,b^{2} d \,e^{2} x}{2 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}-\frac{8 A \,b^{2} d^{2} e}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}+\frac{16 A b c \,d^{3}}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}-\frac{2 A b \,d^{2} e x}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}+\frac{4 A c \,d^{3} x}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}+\frac{2 B a \,b^{3} e^{3}}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{12 B a \,b^{2} d \,e^{2}}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c}+\frac{B a \,b^{2} e^{3} x}{2 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{3 B a b d \,e^{2} x}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{8 B a b \,d^{2} e}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}+\frac{2 B a \,d^{2} e x}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}-\frac{B \,b^{5} e^{3}}{6 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{B \,b^{4} d \,e^{2}}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{B \,b^{4} e^{3} x}{24 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}+\frac{2 B \,b^{3} d^{2} e}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c}+\frac{B \,b^{3} d \,e^{2} x}{4 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}+\frac{B \,b^{2} d^{2} e x}{2 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}-\frac{8 B \,b^{2} d^{3}}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}-\frac{2 B b \,d^{3} x}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}-\frac{B \,e^{3} x^{3}}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}-\frac{A a \,b^{2} e^{3}}{2 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}+\frac{A a b d \,e^{2}}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{A \,b^{4} e^{3}}{24 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}+\frac{A \,b^{3} d \,e^{2}}{4 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{A \,b^{2} d^{2} e}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{2 A b \,d^{3}}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}-\frac{A \,e^{3} x^{2}}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{B a \,b^{3} e^{3}}{4 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}-\frac{3 B a \,b^{2} d \,e^{2}}{2 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}+\frac{B a b \,d^{2} e}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}-\frac{B \,b^{5} e^{3}}{48 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{4}}+\frac{B \,b^{4} d \,e^{2}}{8 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}+\frac{B \,b^{3} d^{2} e}{4 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{B \,b^{2} d^{3}}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{B \,b^{2} e^{3} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{B b \,e^{3} x^{2}}{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{3 B d \,e^{2} x^{2}}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}-\frac{A b \,e^{3} x}{4 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{3 A d \,e^{2} x}{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{B \,b^{3} e^{3}}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{B \,b^{2} e^{3} x}{8 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}-\frac{3 B b d \,e^{2} x}{4 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{3 B \,d^{2} e x}{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}-\frac{2 A a \,e^{3}}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}+\frac{A \,b^{2} e^{3}}{24 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}+\frac{A b d \,e^{2}}{4 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{A \,d^{2} e}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{B a b \,e^{3}}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}-\frac{2 B a d \,e^{2}}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{B \,b^{3} e^{3}}{48 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{4}}+\frac{B \,b^{2} d \,e^{2}}{8 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}+\frac{B b \,d^{2} e}{4 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{B \,d^{3}}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}-\frac{B \,e^{3} x}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{B \,e^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{5}{2}}}+\frac{B b \,e^{3}}{2 \sqrt{c \,x^{2}+b x +a}\, c^{3}}"," ",0,"1/2*B*e^3*b^2/c^2*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x+4*B*e^3*b^2/c*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x+1/4*b^3/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*B*d*e^2+2*b^3/c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*B*d*e^2-b/c*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*A*e^3-3/2*b^2/c^2*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*B*d*e^2-24*b*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*B*d*e^2-12*b^2/c*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*B*d*e^2+1/2*b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*A*d*e^2+1/2*b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*B*d^2*e+a/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*b*A*d*e^2+a/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*b*B*d^2*e+16*a*c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*A*d*e^2+16*a*c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*B*d^2*e-16*b*c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*A*d^2*e-1/4*b/c^2*x/(c*x^2+b*x+a)^(3/2)*A*e^3+1/8*b^2/c^3/(c*x^2+b*x+a)^(3/2)*B*d*e^2+1/24*b^4/c^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*A*e^3+1/3*b^4/c^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*A*e^3-2*a/c^2/(c*x^2+b*x+a)^(3/2)*B*d*e^2-3/2*x/c/(c*x^2+b*x+a)^(3/2)*A*d*e^2-3/2*x/c/(c*x^2+b*x+a)^(3/2)*B*d^2*e+1/4*b/c^2/(c*x^2+b*x+a)^(3/2)*A*d*e^2+1/4*b/c^2/(c*x^2+b*x+a)^(3/2)*B*d^2*e-2/3*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*B*d^3-1/3*b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*B*d^3-8*b^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*A*d^2*e+4/3*A*d^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*c*x+32/3*A*d^3*c^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x+16/3*A*d^3*c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*b+1/2*B*e^3*b/c^2*x^2/(c*x^2+b*x+a)^(3/2)+1/8*B*e^3*b^2/c^3*x/(c*x^2+b*x+a)^(3/2)-1/48*B*e^3*b^5/c^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)-1/6*B*e^3*b^5/c^3/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)+1/3*B*e^3*b/c^3*a/(c*x^2+b*x+a)^(3/2)+1/2*B*e^3/c^3*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-3*x^2/c/(c*x^2+b*x+a)^(3/2)*B*d*e^2+2*B*e^3*b^3/c^2*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)+B*e^3/c^2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x-3/4*b/c^2*x/(c*x^2+b*x+a)^(3/2)*B*d*e^2+1/12*b^3/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*A*e^3+1/8*b^4/c^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*B*d*e^2-1/24*B*e^3*b^4/c^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x-1/3*B*e^3*b^4/c^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x+2*b^3/c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*B*d^2*e+2*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*A*d*e^2+2*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*B*d^2*e+8*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*b*A*d*e^2+8*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*b*B*d^2*e-2*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*A*d^2*e-b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*A*d^2*e-16/3*b*c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*B*d^3+2/3*b^3/c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*A*e^3+b^4/c^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*B*d*e^2-1/2*b^2/c^2*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*A*e^3-8*b*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*A*e^3-4*b^2/c*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*A*e^3+1/4*b^3/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*A*d*e^2+1/4*b^3/c^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*B*d^2*e+4*b^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*A*d*e^2+4*b^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x*B*d^2*e+2*b^3/c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*A*d*e^2+1/4*B*e^3*b^3/c^3*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)-1/3/c/(c*x^2+b*x+a)^(3/2)*B*d^3+B*e^3/c^(5/2)*ln((1/2*b+c*x)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-3*b/c*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*B*d*e^2+2/3*A*d^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*b-x^2/c/(c*x^2+b*x+a)^(3/2)*A*e^3+1/24*b^2/c^3/(c*x^2+b*x+a)^(3/2)*A*e^3-2/3*a/c^2/(c*x^2+b*x+a)^(3/2)*A*e^3-1/3*B*e^3*x^3/c/(c*x^2+b*x+a)^(3/2)-1/48*B*e^3*b^3/c^4/(c*x^2+b*x+a)^(3/2)-B*e^3/c^2*x/(c*x^2+b*x+a)^(1/2)+1/2*B*e^3/c^3*b/(c*x^2+b*x+a)^(1/2)-1/c/(c*x^2+b*x+a)^(3/2)*A*d^2*e-8/3*b^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*B*d^3","B"
2482,1,433,113,0.020000," ","int((B*x+A)*(e*x+d)^2/(c*x^2+b*x+a)^(5/2),x)","\frac{-8 B a b c \,d^{2} x -\frac{32}{3} A b \,c^{2} d e \,x^{3}-8 B a b c \,e^{2} x^{3}+\frac{32}{3} B a \,c^{2} d e \,x^{3}+\frac{8}{3} B \,b^{2} c d e \,x^{3}+8 A a b c \,e^{2} x^{2}-16 A \,b^{2} c d e \,x^{2}+16 B a \,b^{2} d e x +16 B a b c d e \,x^{2}-16 A a b c d e x +\frac{16}{3} A \,a^{2} b \,e^{2}-\frac{16}{3} B \,a^{2} c \,d^{2}-\frac{4}{3} B a \,b^{2} d^{2}+\frac{32}{3} A \,c^{3} d^{2} x^{3}+\frac{2}{3} B \,b^{3} e^{2} x^{3}+2 A \,b^{3} e^{2} x^{2}-2 B \,b^{3} d^{2} x +8 A a \,b^{2} e^{2} x +16 A a \,c^{2} d^{2} x -4 A \,b^{3} d e x +4 A \,b^{2} c \,d^{2} x -16 B \,a^{2} b \,e^{2} x +\frac{16}{3} A a \,c^{2} e^{2} x^{3}+\frac{4}{3} A \,b^{2} c \,e^{2} x^{3}-\frac{16}{3} B b \,c^{2} d^{2} x^{3}+16 A b \,c^{2} d^{2} x^{2}-16 B \,a^{2} c \,e^{2} x^{2}-4 B a \,b^{2} e^{2} x^{2}+4 B \,b^{3} d e \,x^{2}-8 B \,b^{2} c \,d^{2} x^{2}-\frac{32}{3} A \,a^{2} c d e -\frac{8}{3} A a \,b^{2} d e +8 A a b c \,d^{2}+\frac{32}{3} B \,a^{2} b d e -\frac{2}{3} A \,b^{3} d^{2}-\frac{32}{3} B \,a^{3} e^{2}}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right)}"," ",0,"2/3/(c*x^2+b*x+a)^(3/2)*(8*A*a*c^2*e^2*x^3+2*A*b^2*c*e^2*x^3-16*A*b*c^2*d*e*x^3+16*A*c^3*d^2*x^3-12*B*a*b*c*e^2*x^3+16*B*a*c^2*d*e*x^3+B*b^3*e^2*x^3+4*B*b^2*c*d*e*x^3-8*B*b*c^2*d^2*x^3+12*A*a*b*c*e^2*x^2+3*A*b^3*e^2*x^2-24*A*b^2*c*d*e*x^2+24*A*b*c^2*d^2*x^2-24*B*a^2*c*e^2*x^2-6*B*a*b^2*e^2*x^2+24*B*a*b*c*d*e*x^2+6*B*b^3*d*e*x^2-12*B*b^2*c*d^2*x^2+12*A*a*b^2*e^2*x-24*A*a*b*c*d*e*x+24*A*a*c^2*d^2*x-6*A*b^3*d*e*x+6*A*b^2*c*d^2*x-24*B*a^2*b*e^2*x+24*B*a*b^2*d*e*x-12*B*a*b*c*d^2*x-3*B*b^3*d^2*x+8*A*a^2*b*e^2-16*A*a^2*c*d*e-4*A*a*b^2*d*e+12*A*a*b*c*d^2-A*b^3*d^2-16*B*a^3*e^2+16*B*a^2*b*d*e-8*B*a^2*c*d^2-2*B*a*b^2*d^2)/(16*a^2*c^2-8*a*b^2*c+b^4)","B"
2483,1,256,150,0.013000," ","int((B*x+A)*(e*x+d)/(c*x^2+b*x+a)^(5/2),x)","-\frac{2 \left(8 A b \,c^{2} e \,x^{3}-16 A \,c^{3} d \,x^{3}-8 B a \,c^{2} e \,x^{3}-2 B \,b^{2} c e \,x^{3}+8 B b \,c^{2} d \,x^{3}+12 A \,b^{2} c e \,x^{2}-24 A b \,c^{2} d \,x^{2}-12 B a b c e \,x^{2}-3 B \,b^{3} e \,x^{2}+12 B \,b^{2} c d \,x^{2}+12 A a b c e x -24 A a \,c^{2} d x +3 A \,b^{3} e x -6 A \,b^{2} c d x -12 B a \,b^{2} e x +12 B a b c d x +3 B \,b^{3} d x +8 A \,a^{2} c e +2 A a \,b^{2} e -12 A a b c d +A \,b^{3} d -8 B \,a^{2} b e +8 B \,a^{2} c d +2 B a \,b^{2} d \right)}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right)}"," ",0,"-2/3/(c*x^2+b*x+a)^(3/2)*(8*A*b*c^2*e*x^3-16*A*c^3*d*x^3-8*B*a*c^2*e*x^3-2*B*b^2*c*e*x^3+8*B*b*c^2*d*x^3+12*A*b^2*c*e*x^2-24*A*b*c^2*d*x^2-12*B*a*b*c*e*x^2-3*B*b^3*e*x^2+12*B*b^2*c*d*x^2+12*A*a*b*c*e*x-24*A*a*c^2*d*x+3*A*b^3*e*x-6*A*b^2*c*d*x-12*B*a*b^2*e*x+12*B*a*b*c*d*x+3*B*b^3*d*x+8*A*a^2*c*e+2*A*a*b^2*e-12*A*a*b*c*d+A*b^3*d-8*B*a^2*b*e+8*B*a^2*c*d+2*B*a*b^2*d)/(16*a^2*c^2-8*a*b^2*c+b^4)","A"
2484,1,132,82,0.008000," ","int((B*x+A)/(c*x^2+b*x+a)^(5/2),x)","\frac{\frac{32}{3} A \,c^{3} x^{3}-\frac{16}{3} B b \,c^{2} x^{3}+16 A b \,c^{2} x^{2}-8 B \,b^{2} c \,x^{2}+16 A a \,c^{2} x +4 A \,b^{2} c x -8 B a b c x -2 B \,b^{3} x +8 A a b c -\frac{2}{3} A \,b^{3}-\frac{16}{3} B \,a^{2} c -\frac{4}{3} B a \,b^{2}}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right)}"," ",0,"2/3/(c*x^2+b*x+a)^(3/2)*(16*A*c^3*x^3-8*B*b*c^2*x^3+24*A*b*c^2*x^2-12*B*b^2*c*x^2+24*A*a*c^2*x+6*A*b^2*c*x-12*B*a*b*c*x-3*B*b^3*x+12*A*a*b*c-A*b^3-8*B*a^2*c-2*B*a*b^2)/(16*a^2*c^2-8*a*b^2*c+b^4)","A"
2485,1,2996,420,0.035000," ","int((B*x+A)/(e*x+d)/(c*x^2+b*x+a)^(5/2),x)","\text{output too large to display}"," ",0,"-2/3*e/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*c*x*b*A-4/3/e/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*c^2*x*d^2*B-2/3/e/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*b*c*d^2*B-16/3*e/(a*e^2-b*d*e+c*d^2)*c^2/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b*A-32/3/e/(a*e^2-b*d*e+c*d^2)*c^3/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*d^2*B-16/3/e/(a*e^2-b*d*e+c*d^2)*c^2/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*d^2*B-2*e^3/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b*c*A+4*e^2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*c^2*d*A-4*e/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*c^2*d^2*B+2*e^2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*c*d*A-2*e/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*c*d^2*B+16/3/(a*e^2-b*d*e+c*d^2)*c^2/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b*B*d+2/3/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*c*x*b*B*d-1/3*e/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*b^2*A-e^3/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2*A+e^2/(a*e^2-b*d*e+c*d^2)^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln((2*(a*e^2-b*d*e+c*d^2)/e^2+(b*e-2*c*d)/e*(x+d/e)+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*B*d+1/3/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*b^2*B*d+4/3*B/e/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*c*x+32/3*B/e*c^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x+16/3*B/e*c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*b+1/3*e/(a*e^2-b*d*e+c*d^2)/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*A+e^3/(a*e^2-b*d*e+c*d^2)^2/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*A-1/3/(a*e^2-b*d*e+c*d^2)/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*B*d+2*e^2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*b*c*B*d+4/3/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*c^2*x*d*A+2/3/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(3/2)*b*c*d*A+32/3/(a*e^2-b*d*e+c*d^2)*c^3/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*x*d*A+8/3/(a*e^2-b*d*e+c*d^2)*c/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2*B*d+16/3/(a*e^2-b*d*e+c*d^2)*c^2/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b*d*A-8/3*e/(a*e^2-b*d*e+c*d^2)*c/(4*a*c-b^2)^2/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2*A+e^2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*b^2*B*d-e^2/(a*e^2-b*d*e+c*d^2)^2/((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*B*d-e^3/(a*e^2-b*d*e+c*d^2)^2/((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*ln((2*(a*e^2-b*d*e+c*d^2)/e^2+(b*e-2*c*d)/e*(x+d/e)+2*((a*e^2-b*d*e+c*d^2)/e^2)^(1/2)*((x+d/e)^2*c+(b*e-2*c*d)/e*(x+d/e)+(a*e^2-b*d*e+c*d^2)/e^2)^(1/2))/(x+d/e))*A+2/3*B/e/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*b","B"
2486,1,6675,724,0.080000," ","int((B*x+A)/(e*x+d)^2/(c*x^2+b*x+a)^(5/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
2487,1,11346,1375,0.052000," ","int((B*x+A)*(e*x+d)^6/(c*x^2+b*x+a)^(7/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
2488,1,7765,922,0.022000," ","int((B*x+A)*(e*x+d)^5/(c*x^2+b*x+a)^(7/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
2489,1,1914,198,0.017000," ","int((B*x+A)*(e*x+d)^4/(c*x^2+b*x+a)^(7/2),x)","\frac{\frac{32}{3} B a \,b^{4} d^{3} e x -16 B a \,b^{3} c \,d^{4} x +16 A a \,b^{4} d^{2} e^{2} x +32 A a \,b^{2} c^{2} d^{4} x +\frac{512}{3} B \,a^{3} b^{2} d \,e^{3} x -96 B \,a^{2} b^{3} d^{2} e^{2} x -32 B \,a^{2} b \,c^{2} d^{4} x -64 A \,a^{2} b^{3} d \,e^{3} x -64 B a \,b^{2} c^{2} d^{4} x^{2}+128 B \,a^{2} b^{3} d \,e^{3} x^{2}-72 B a \,b^{4} d^{2} e^{2} x^{2}-\frac{64}{3} A \,b^{4} c \,d^{3} e \,x^{2}-128 B \,a^{3} c^{2} d^{2} e^{2} x^{2}+128 A a b \,c^{3} d^{4} x^{2}+48 B \,b^{4} c \,d^{3} e \,x^{3}+\frac{128}{3} A \,a^{3} b c \,e^{4} x^{2}-\frac{256}{3} A \,a^{3} c^{2} d \,e^{3} x^{2}-48 A a \,b^{4} d \,e^{3} x^{2}+\frac{64}{3} B a \,b^{4} d \,e^{3} x^{3}-\frac{128}{3} B a b \,c^{3} d^{4} x^{3}-128 B \,a^{3} b c \,e^{4} x^{3}+\frac{256}{3} B \,a^{2} c^{3} d^{3} e \,x^{3}-128 A \,b^{3} c^{2} d^{3} e \,x^{3}+64 A \,a^{2} b^{2} c \,e^{4} x^{3}+128 A \,a^{2} c^{3} d^{2} e^{2} x^{3}+72 A \,b^{4} c \,d^{2} e^{2} x^{3}+16 A a \,b^{3} c \,e^{4} x^{4}-\frac{32}{3} A \,b^{4} c d \,e^{3} x^{4}+96 A \,b^{3} c^{2} d^{2} e^{2} x^{4}-\frac{512}{3} A \,b^{2} c^{3} d^{3} e \,x^{4}-32 B \,a^{2} b^{2} c \,e^{4} x^{4}-16 B \,b^{4} c \,d^{2} e^{2} x^{4}+64 B \,b^{3} c^{2} d^{3} e \,x^{4}-\frac{32}{5} B \,b^{3} c^{2} d^{2} e^{2} x^{5}+\frac{128}{5} B \,b^{2} c^{3} d^{3} e \,x^{5}+32 A \,a^{2} b \,c^{2} e^{4} x^{4}-\frac{1024}{15} A b \,c^{4} d^{3} e \,x^{5}-32 B \,a^{2} b \,c^{2} e^{4} x^{5}+\frac{256}{5} B \,a^{2} c^{3} d \,e^{3} x^{5}+\frac{16}{3} B a \,b^{3} c \,e^{4} x^{5}+\frac{512}{15} B a \,c^{4} d^{3} e \,x^{5}-\frac{16}{15} B \,b^{4} c d \,e^{3} x^{5}+\frac{32}{5} A a \,b^{2} c^{2} e^{4} x^{5}+\frac{256}{5} A a \,c^{4} d^{2} e^{2} x^{5}-\frac{64}{15} A \,b^{3} c^{2} d \,e^{3} x^{5}+\frac{192}{5} A \,b^{2} c^{3} d^{2} e^{2} x^{5}+\frac{256}{5} B \,a^{3} b c \,d^{3} e -\frac{512}{15} A \,a^{4} c d \,e^{3}+\frac{384}{5} A \,a^{3} b c \,d^{2} e^{2}-\frac{256}{5} A \,a^{3} c^{2} d^{3} e -\frac{128}{5} A \,a^{2} b^{2} c \,d^{3} e -\frac{256}{5} B \,a^{4} c \,d^{2} e^{2}-\frac{256}{5} A a b \,c^{3} d \,e^{3} x^{5}+\frac{512}{15} A \,c^{5} d^{4} x^{5}-\frac{2}{5} B \,b^{5} e^{4} x^{5}-\frac{2}{3} A \,b^{5} e^{4} x^{4}+\frac{2}{3} B \,b^{5} d^{4} x +\frac{256}{15} A \,a^{4} b \,e^{4}-\frac{512}{15} B \,a^{5} e^{4}+\frac{4}{15} B a \,b^{4} d^{4}+64 A \,b^{2} c^{3} d^{4} x^{3}-\frac{32}{3} B \,a^{2} b^{3} e^{4} x^{3}-12 B \,b^{5} d^{2} e^{2} x^{3}-32 B \,b^{3} c^{2} d^{4} x^{3}+32 A \,a^{2} b^{3} e^{4} x^{2}+12 A \,b^{5} d^{2} e^{2} x^{2}+\frac{32}{3} A \,b^{3} c^{2} d^{4} x^{2}-\frac{256}{3} B \,a^{4} c \,e^{4} x^{2}-64 B \,a^{3} b^{2} e^{4} x^{2}+8 B \,b^{5} d^{3} e \,x^{2}-\frac{16}{3} B \,b^{4} c \,d^{4} x^{2}+\frac{128}{3} A \,a^{3} b^{2} e^{4} x +64 A \,a^{2} c^{3} d^{4} x +\frac{8}{3} A \,b^{5} d^{3} e x -\frac{4}{3} A \,b^{4} c \,d^{4} x -\frac{256}{3} B \,a^{4} b \,e^{4} x +\frac{64}{5} A \,a^{2} c^{3} e^{4} x^{5}-\frac{4}{15} A \,b^{4} c \,e^{4} x^{5}-\frac{256}{15} B b \,c^{4} d^{4} x^{5}+\frac{256}{3} A b \,c^{4} d^{4} x^{4}-64 B \,a^{3} c^{2} e^{4} x^{4}+\frac{4}{3} B a \,b^{4} e^{4} x^{4}-\frac{8}{3} B \,b^{5} d \,e^{3} x^{4}-\frac{128}{3} B \,b^{2} c^{3} d^{4} x^{4}+\frac{16}{3} A a \,b^{4} e^{4} x^{3}+\frac{256}{3} A a \,c^{4} d^{4} x^{3}-8 A \,b^{5} d \,e^{3} x^{3}+160 A a \,b^{3} c \,d^{2} e^{2} x^{2}-256 A a \,b^{2} c^{2} d^{3} e \,x^{2}+\frac{512}{3} B \,a^{3} b c d \,e^{3} x^{2}-192 B \,a^{2} b^{2} c \,d^{2} e^{2} x^{2}+128 B \,a^{2} b \,c^{2} d^{3} e \,x^{2}+\frac{320}{3} B a \,b^{3} c \,d^{3} e \,x^{2}-\frac{256}{3} A \,a^{3} b c d \,e^{3} x +192 A \,a^{2} b^{2} c \,d^{2} e^{2} x -128 A \,a^{2} b \,c^{2} d^{3} e x -64 A a \,b^{3} c \,d^{3} e x -128 B \,a^{3} b c \,d^{2} e^{2} x +128 B \,a^{2} b^{2} c \,d^{3} e x -192 B a \,b^{2} c^{2} d^{2} e^{2} x^{4}+\frac{256}{3} B a b \,c^{3} d^{3} e \,x^{4}-128 A \,a^{2} b \,c^{2} d \,e^{3} x^{3}-\frac{320}{3} A a \,b^{3} c d \,e^{3} x^{3}+192 A a \,b^{2} c^{2} d^{2} e^{2} x^{3}-\frac{512}{3} A a b \,c^{3} d^{3} e \,x^{3}+256 B \,a^{2} b^{2} c d \,e^{3} x^{3}-192 B \,a^{2} b \,c^{2} d^{2} e^{2} x^{3}-160 B a \,b^{3} c \,d^{2} e^{2} x^{3}+128 B a \,b^{2} c^{2} d^{3} e \,x^{3}-128 A \,a^{2} b^{2} c d \,e^{3} x^{2}+192 A \,a^{2} b \,c^{2} d^{2} e^{2} x^{2}+\frac{128}{5} B a \,b^{2} c^{2} d \,e^{3} x^{5}-\frac{384}{5} B a b \,c^{3} d^{2} e^{2} x^{5}-128 A a \,b^{2} c^{2} d \,e^{3} x^{4}+128 A a b \,c^{3} d^{2} e^{2} x^{4}+128 B \,a^{2} b \,c^{2} d \,e^{3} x^{4}+64 B a \,b^{3} c d \,e^{3} x^{4}+\frac{2}{5} A \,b^{5} d^{4}-\frac{192}{5} B \,a^{3} b^{2} d^{2} e^{2}-\frac{64}{5} B \,a^{3} c^{2} d^{4}+\frac{64}{15} B \,a^{2} b^{3} d^{3} e -\frac{32}{5} B \,a^{2} b^{2} c \,d^{4}+32 A \,a^{2} b \,c^{2} d^{4}-\frac{16}{3} A a \,b^{3} c \,d^{4}-\frac{128}{5} A \,a^{3} b^{2} d \,e^{3}+\frac{32}{5} A \,a^{2} b^{3} d^{2} e^{2}+\frac{16}{15} A a \,b^{4} d^{3} e +\frac{1024}{15} B \,a^{4} b d \,e^{3}}{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} \left(64 a^{3} c^{3}-48 a^{2} b^{2} c^{2}+12 a \,b^{4} c -b^{6}\right)}"," ",0,"2/15/(c*x^2+b*x+a)^(5/2)*(96*A*a^2*c^3*e^4*x^5+48*A*a*b^2*c^2*e^4*x^5-384*A*a*b*c^3*d*e^3*x^5+384*A*a*c^4*d^2*e^2*x^5-2*A*b^4*c*e^4*x^5-32*A*b^3*c^2*d*e^3*x^5+288*A*b^2*c^3*d^2*e^2*x^5-512*A*b*c^4*d^3*e*x^5+256*A*c^5*d^4*x^5-240*B*a^2*b*c^2*e^4*x^5+384*B*a^2*c^3*d*e^3*x^5+40*B*a*b^3*c*e^4*x^5+192*B*a*b^2*c^2*d*e^3*x^5-576*B*a*b*c^3*d^2*e^2*x^5+256*B*a*c^4*d^3*e*x^5-3*B*b^5*e^4*x^5-8*B*b^4*c*d*e^3*x^5-48*B*b^3*c^2*d^2*e^2*x^5+192*B*b^2*c^3*d^3*e*x^5-128*B*b*c^4*d^4*x^5+240*A*a^2*b*c^2*e^4*x^4+120*A*a*b^3*c*e^4*x^4-960*A*a*b^2*c^2*d*e^3*x^4+960*A*a*b*c^3*d^2*e^2*x^4-5*A*b^5*e^4*x^4-80*A*b^4*c*d*e^3*x^4+720*A*b^3*c^2*d^2*e^2*x^4-1280*A*b^2*c^3*d^3*e*x^4+640*A*b*c^4*d^4*x^4-480*B*a^3*c^2*e^4*x^4-240*B*a^2*b^2*c*e^4*x^4+960*B*a^2*b*c^2*d*e^3*x^4+10*B*a*b^4*e^4*x^4+480*B*a*b^3*c*d*e^3*x^4-1440*B*a*b^2*c^2*d^2*e^2*x^4+640*B*a*b*c^3*d^3*e*x^4-20*B*b^5*d*e^3*x^4-120*B*b^4*c*d^2*e^2*x^4+480*B*b^3*c^2*d^3*e*x^4-320*B*b^2*c^3*d^4*x^4+480*A*a^2*b^2*c*e^4*x^3-960*A*a^2*b*c^2*d*e^3*x^3+960*A*a^2*c^3*d^2*e^2*x^3+40*A*a*b^4*e^4*x^3-800*A*a*b^3*c*d*e^3*x^3+1440*A*a*b^2*c^2*d^2*e^2*x^3-1280*A*a*b*c^3*d^3*e*x^3+640*A*a*c^4*d^4*x^3-60*A*b^5*d*e^3*x^3+540*A*b^4*c*d^2*e^2*x^3-960*A*b^3*c^2*d^3*e*x^3+480*A*b^2*c^3*d^4*x^3-960*B*a^3*b*c*e^4*x^3-80*B*a^2*b^3*e^4*x^3+1920*B*a^2*b^2*c*d*e^3*x^3-1440*B*a^2*b*c^2*d^2*e^2*x^3+640*B*a^2*c^3*d^3*e*x^3+160*B*a*b^4*d*e^3*x^3-1200*B*a*b^3*c*d^2*e^2*x^3+960*B*a*b^2*c^2*d^3*e*x^3-320*B*a*b*c^3*d^4*x^3-90*B*b^5*d^2*e^2*x^3+360*B*b^4*c*d^3*e*x^3-240*B*b^3*c^2*d^4*x^3+320*A*a^3*b*c*e^4*x^2-640*A*a^3*c^2*d*e^3*x^2+240*A*a^2*b^3*e^4*x^2-960*A*a^2*b^2*c*d*e^3*x^2+1440*A*a^2*b*c^2*d^2*e^2*x^2-360*A*a*b^4*d*e^3*x^2+1200*A*a*b^3*c*d^2*e^2*x^2-1920*A*a*b^2*c^2*d^3*e*x^2+960*A*a*b*c^3*d^4*x^2+90*A*b^5*d^2*e^2*x^2-160*A*b^4*c*d^3*e*x^2+80*A*b^3*c^2*d^4*x^2-640*B*a^4*c*e^4*x^2-480*B*a^3*b^2*e^4*x^2+1280*B*a^3*b*c*d*e^3*x^2-960*B*a^3*c^2*d^2*e^2*x^2+960*B*a^2*b^3*d*e^3*x^2-1440*B*a^2*b^2*c*d^2*e^2*x^2+960*B*a^2*b*c^2*d^3*e*x^2-540*B*a*b^4*d^2*e^2*x^2+800*B*a*b^3*c*d^3*e*x^2-480*B*a*b^2*c^2*d^4*x^2+60*B*b^5*d^3*e*x^2-40*B*b^4*c*d^4*x^2+320*A*a^3*b^2*e^4*x-640*A*a^3*b*c*d*e^3*x-480*A*a^2*b^3*d*e^3*x+1440*A*a^2*b^2*c*d^2*e^2*x-960*A*a^2*b*c^2*d^3*e*x+480*A*a^2*c^3*d^4*x+120*A*a*b^4*d^2*e^2*x-480*A*a*b^3*c*d^3*e*x+240*A*a*b^2*c^2*d^4*x+20*A*b^5*d^3*e*x-10*A*b^4*c*d^4*x-640*B*a^4*b*e^4*x+1280*B*a^3*b^2*d*e^3*x-960*B*a^3*b*c*d^2*e^2*x-720*B*a^2*b^3*d^2*e^2*x+960*B*a^2*b^2*c*d^3*e*x-240*B*a^2*b*c^2*d^4*x+80*B*a*b^4*d^3*e*x-120*B*a*b^3*c*d^4*x+5*B*b^5*d^4*x+128*A*a^4*b*e^4-256*A*a^4*c*d*e^3-192*A*a^3*b^2*d*e^3+576*A*a^3*b*c*d^2*e^2-384*A*a^3*c^2*d^3*e+48*A*a^2*b^3*d^2*e^2-192*A*a^2*b^2*c*d^3*e+240*A*a^2*b*c^2*d^4+8*A*a*b^4*d^3*e-40*A*a*b^3*c*d^4+3*A*b^5*d^4-256*B*a^5*e^4+512*B*a^4*b*d*e^3-384*B*a^4*c*d^2*e^2-288*B*a^3*b^2*d^2*e^2+384*B*a^3*b*c*d^3*e-96*B*a^3*c^2*d^4+32*B*a^2*b^3*d^3*e-48*B*a^2*b^2*c*d^4+2*B*a*b^4*d^4)/(64*a^3*c^3-48*a^2*b^2*c^2+12*a*b^4*c-b^6)","B"
2490,1,1502,252,0.019000," ","int((B*x+A)*(e*x+d)^3/(c*x^2+b*x+a)^(7/2),x)","-\frac{2 \left(96 A a b \,c^{3} e^{3} x^{5}-192 A a \,c^{4} d \,e^{2} x^{5}+8 A \,b^{3} c^{2} e^{3} x^{5}-144 A \,b^{2} c^{3} d \,e^{2} x^{5}+384 A b \,c^{4} d^{2} e \,x^{5}-256 A \,c^{5} d^{3} x^{5}-96 B \,a^{2} c^{3} e^{3} x^{5}-48 B a \,b^{2} c^{2} e^{3} x^{5}+288 B a b \,c^{3} d \,e^{2} x^{5}-192 B a \,c^{4} d^{2} e \,x^{5}+2 B \,b^{4} c \,e^{3} x^{5}+24 B \,b^{3} c^{2} d \,e^{2} x^{5}-144 B \,b^{2} c^{3} d^{2} e \,x^{5}+128 B b \,c^{4} d^{3} x^{5}+240 A a \,b^{2} c^{2} e^{3} x^{4}-480 A a b \,c^{3} d \,e^{2} x^{4}+20 A \,b^{4} c \,e^{3} x^{4}-360 A \,b^{3} c^{2} d \,e^{2} x^{4}+960 A \,b^{2} c^{3} d^{2} e \,x^{4}-640 A b \,c^{4} d^{3} x^{4}-240 B \,a^{2} b \,c^{2} e^{3} x^{4}-120 B a \,b^{3} c \,e^{3} x^{4}+720 B a \,b^{2} c^{2} d \,e^{2} x^{4}-480 B a b \,c^{3} d^{2} e \,x^{4}+5 B \,b^{5} e^{3} x^{4}+60 B \,b^{4} c d \,e^{2} x^{4}-360 B \,b^{3} c^{2} d^{2} e \,x^{4}+320 B \,b^{2} c^{3} d^{3} x^{4}+240 A \,a^{2} b \,c^{2} e^{3} x^{3}-480 A \,a^{2} c^{3} d \,e^{2} x^{3}+200 A a \,b^{3} c \,e^{3} x^{3}-720 A a \,b^{2} c^{2} d \,e^{2} x^{3}+960 A a b \,c^{3} d^{2} e \,x^{3}-640 A a \,c^{4} d^{3} x^{3}+15 A \,b^{5} e^{3} x^{3}-270 A \,b^{4} c d \,e^{2} x^{3}+720 A \,b^{3} c^{2} d^{2} e \,x^{3}-480 A \,b^{2} c^{3} d^{3} x^{3}-480 B \,a^{2} b^{2} c \,e^{3} x^{3}+720 B \,a^{2} b \,c^{2} d \,e^{2} x^{3}-480 B \,a^{2} c^{3} d^{2} e \,x^{3}-40 B a \,b^{4} e^{3} x^{3}+600 B a \,b^{3} c d \,e^{2} x^{3}-720 B a \,b^{2} c^{2} d^{2} e \,x^{3}+320 B a b \,c^{3} d^{3} x^{3}+45 B \,b^{5} d \,e^{2} x^{3}-270 B \,b^{4} c \,d^{2} e \,x^{3}+240 B \,b^{3} c^{2} d^{3} x^{3}+160 A \,a^{3} c^{2} e^{3} x^{2}+240 A \,a^{2} b^{2} c \,e^{3} x^{2}-720 A \,a^{2} b \,c^{2} d \,e^{2} x^{2}+90 A a \,b^{4} e^{3} x^{2}-600 A a \,b^{3} c d \,e^{2} x^{2}+1440 A a \,b^{2} c^{2} d^{2} e \,x^{2}-960 A a b \,c^{3} d^{3} x^{2}-45 A \,b^{5} d \,e^{2} x^{2}+120 A \,b^{4} c \,d^{2} e \,x^{2}-80 A \,b^{3} c^{2} d^{3} x^{2}-320 B \,a^{3} b c \,e^{3} x^{2}+480 B \,a^{3} c^{2} d \,e^{2} x^{2}-240 B \,a^{2} b^{3} e^{3} x^{2}+720 B \,a^{2} b^{2} c d \,e^{2} x^{2}-720 B \,a^{2} b \,c^{2} d^{2} e \,x^{2}+270 B a \,b^{4} d \,e^{2} x^{2}-600 B a \,b^{3} c \,d^{2} e \,x^{2}+480 B a \,b^{2} c^{2} d^{3} x^{2}-45 B \,b^{5} d^{2} e \,x^{2}+40 B \,b^{4} c \,d^{3} x^{2}+160 A \,a^{3} b c \,e^{3} x +120 A \,a^{2} b^{3} e^{3} x -720 A \,a^{2} b^{2} c d \,e^{2} x +720 A \,a^{2} b \,c^{2} d^{2} e x -480 A \,a^{2} c^{3} d^{3} x -60 A a \,b^{4} d \,e^{2} x +360 A a \,b^{3} c \,d^{2} e x -240 A a \,b^{2} c^{2} d^{3} x -15 A \,b^{5} d^{2} e x +10 A \,b^{4} c \,d^{3} x -320 B \,a^{3} b^{2} e^{3} x +480 B \,a^{3} b c d \,e^{2} x +360 B \,a^{2} b^{3} d \,e^{2} x -720 B \,a^{2} b^{2} c \,d^{2} e x +240 B \,a^{2} b \,c^{2} d^{3} x -60 B a \,b^{4} d^{2} e x +120 B a \,b^{3} c \,d^{3} x -5 B \,b^{5} d^{3} x +64 A \,a^{4} c \,e^{3}+48 A \,a^{3} b^{2} e^{3}-288 A \,a^{3} b c d \,e^{2}+288 A \,a^{3} c^{2} d^{2} e -24 A \,a^{2} b^{3} d \,e^{2}+144 A \,a^{2} b^{2} c \,d^{2} e -240 A \,a^{2} b \,c^{2} d^{3}-6 A a \,b^{4} d^{2} e +40 A a \,b^{3} c \,d^{3}-3 A \,b^{5} d^{3}-128 B \,a^{4} b \,e^{3}+192 B \,a^{4} c d \,e^{2}+144 B \,a^{3} b^{2} d \,e^{2}-288 B \,a^{3} b c \,d^{2} e +96 B \,a^{3} c^{2} d^{3}-24 B \,a^{2} b^{3} d^{2} e +48 B \,a^{2} b^{2} c \,d^{3}-2 B a \,b^{4} d^{3}\right)}{15 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} \left(64 a^{3} c^{3}-48 a^{2} b^{2} c^{2}+12 a \,b^{4} c -b^{6}\right)}"," ",0,"-2/15/(c*x^2+b*x+a)^(5/2)*(96*A*a*b*c^3*e^3*x^5-192*A*a*c^4*d*e^2*x^5+8*A*b^3*c^2*e^3*x^5-144*A*b^2*c^3*d*e^2*x^5+384*A*b*c^4*d^2*e*x^5-256*A*c^5*d^3*x^5-96*B*a^2*c^3*e^3*x^5-48*B*a*b^2*c^2*e^3*x^5+288*B*a*b*c^3*d*e^2*x^5-192*B*a*c^4*d^2*e*x^5+2*B*b^4*c*e^3*x^5+24*B*b^3*c^2*d*e^2*x^5-144*B*b^2*c^3*d^2*e*x^5+128*B*b*c^4*d^3*x^5+240*A*a*b^2*c^2*e^3*x^4-480*A*a*b*c^3*d*e^2*x^4+20*A*b^4*c*e^3*x^4-360*A*b^3*c^2*d*e^2*x^4+960*A*b^2*c^3*d^2*e*x^4-640*A*b*c^4*d^3*x^4-240*B*a^2*b*c^2*e^3*x^4-120*B*a*b^3*c*e^3*x^4+720*B*a*b^2*c^2*d*e^2*x^4-480*B*a*b*c^3*d^2*e*x^4+5*B*b^5*e^3*x^4+60*B*b^4*c*d*e^2*x^4-360*B*b^3*c^2*d^2*e*x^4+320*B*b^2*c^3*d^3*x^4+240*A*a^2*b*c^2*e^3*x^3-480*A*a^2*c^3*d*e^2*x^3+200*A*a*b^3*c*e^3*x^3-720*A*a*b^2*c^2*d*e^2*x^3+960*A*a*b*c^3*d^2*e*x^3-640*A*a*c^4*d^3*x^3+15*A*b^5*e^3*x^3-270*A*b^4*c*d*e^2*x^3+720*A*b^3*c^2*d^2*e*x^3-480*A*b^2*c^3*d^3*x^3-480*B*a^2*b^2*c*e^3*x^3+720*B*a^2*b*c^2*d*e^2*x^3-480*B*a^2*c^3*d^2*e*x^3-40*B*a*b^4*e^3*x^3+600*B*a*b^3*c*d*e^2*x^3-720*B*a*b^2*c^2*d^2*e*x^3+320*B*a*b*c^3*d^3*x^3+45*B*b^5*d*e^2*x^3-270*B*b^4*c*d^2*e*x^3+240*B*b^3*c^2*d^3*x^3+160*A*a^3*c^2*e^3*x^2+240*A*a^2*b^2*c*e^3*x^2-720*A*a^2*b*c^2*d*e^2*x^2+90*A*a*b^4*e^3*x^2-600*A*a*b^3*c*d*e^2*x^2+1440*A*a*b^2*c^2*d^2*e*x^2-960*A*a*b*c^3*d^3*x^2-45*A*b^5*d*e^2*x^2+120*A*b^4*c*d^2*e*x^2-80*A*b^3*c^2*d^3*x^2-320*B*a^3*b*c*e^3*x^2+480*B*a^3*c^2*d*e^2*x^2-240*B*a^2*b^3*e^3*x^2+720*B*a^2*b^2*c*d*e^2*x^2-720*B*a^2*b*c^2*d^2*e*x^2+270*B*a*b^4*d*e^2*x^2-600*B*a*b^3*c*d^2*e*x^2+480*B*a*b^2*c^2*d^3*x^2-45*B*b^5*d^2*e*x^2+40*B*b^4*c*d^3*x^2+160*A*a^3*b*c*e^3*x+120*A*a^2*b^3*e^3*x-720*A*a^2*b^2*c*d*e^2*x+720*A*a^2*b*c^2*d^2*e*x-480*A*a^2*c^3*d^3*x-60*A*a*b^4*d*e^2*x+360*A*a*b^3*c*d^2*e*x-240*A*a*b^2*c^2*d^3*x-15*A*b^5*d^2*e*x+10*A*b^4*c*d^3*x-320*B*a^3*b^2*e^3*x+480*B*a^3*b*c*d*e^2*x+360*B*a^2*b^3*d*e^2*x-720*B*a^2*b^2*c*d^2*e*x+240*B*a^2*b*c^2*d^3*x-60*B*a*b^4*d^2*e*x+120*B*a*b^3*c*d^3*x-5*B*b^5*d^3*x+64*A*a^4*c*e^3+48*A*a^3*b^2*e^3-288*A*a^3*b*c*d*e^2+288*A*a^3*c^2*d^2*e-24*A*a^2*b^3*d*e^2+144*A*a^2*b^2*c*d^2*e-240*A*a^2*b*c^2*d^3-6*A*a*b^4*d^2*e+40*A*a*b^3*c*d^3-3*A*b^5*d^3-128*B*a^4*b*e^3+192*B*a^4*c*d*e^2+144*B*a^3*b^2*d*e^2-288*B*a^3*b*c*d^2*e+96*B*a^3*c^2*d^3-24*B*a^2*b^3*d^2*e+48*B*a^2*b^2*c*d^3-2*B*a*b^4*d^3)/(64*a^3*c^3-48*a^2*b^2*c^2+12*a*b^4*c-b^6)","B"
2491,1,1064,312,0.015000," ","int((B*x+A)*(e*x+d)^2/(c*x^2+b*x+a)^(7/2),x)","\frac{-32 B \,a^{2} b \,c^{2} d^{2} x +\frac{16}{3} B a \,b^{4} d e x -16 B a \,b^{3} c \,d^{2} x +32 A \,a^{2} b^{2} c \,e^{2} x +32 A a \,b^{2} c^{2} d^{2} x -\frac{64}{3} B \,a^{3} b c \,e^{2} x -64 B a \,b^{2} c^{2} d^{2} x^{2}-32 B \,a^{2} b^{2} c \,e^{2} x^{2}+128 A a b \,c^{3} d^{2} x^{2}-\frac{32}{3} A \,b^{4} c d e \,x^{2}+32 A \,a^{2} b \,c^{2} e^{2} x^{2}+\frac{80}{3} A a \,b^{3} c \,e^{2} x^{2}-\frac{128}{3} B a b \,c^{3} d^{2} x^{3}+24 B \,b^{4} c d e \,x^{3}+\frac{128}{3} B \,a^{2} c^{3} d e \,x^{3}-\frac{80}{3} B a \,b^{3} c \,e^{2} x^{3}-32 B \,a^{2} b \,c^{2} e^{2} x^{3}-64 A \,b^{3} c^{2} d e \,x^{3}+32 A a \,b^{2} c^{2} e^{2} x^{3}+\frac{64}{3} A a b \,c^{3} e^{2} x^{4}-\frac{256}{3} A \,b^{2} c^{3} d e \,x^{4}-32 B a \,b^{2} c^{2} e^{2} x^{4}+32 B \,b^{3} c^{2} d e \,x^{4}-\frac{512}{15} A b \,c^{4} d e \,x^{5}-\frac{64}{5} B a b \,c^{3} e^{2} x^{5}+\frac{256}{15} B a \,c^{4} d e \,x^{5}+\frac{64}{5} B \,b^{2} c^{3} d e \,x^{5}+\frac{128}{5} B \,a^{3} b c d e -\frac{128}{5} A \,a^{3} c^{2} d e -\frac{64}{5} A \,a^{2} b^{2} c d e +\frac{128}{3} B a b \,c^{3} d e \,x^{4}+\frac{512}{15} A \,c^{5} d^{2} x^{5}-2 B \,b^{5} e^{2} x^{3}+2 A \,b^{5} e^{2} x^{2}+\frac{2}{3} B \,b^{5} d^{2} x +\frac{16}{15} A \,a^{2} b^{3} e^{2}-\frac{32}{5} B \,a^{3} b^{2} e^{2}+\frac{4}{15} B a \,b^{4} d^{2}-\frac{256}{3} A a b \,c^{3} d e \,x^{3}+64 B a \,b^{2} c^{2} d e \,x^{3}-128 A a \,b^{2} c^{2} d e \,x^{2}+64 B \,a^{2} b \,c^{2} d e \,x^{2}+\frac{160}{3} B a \,b^{3} c d e \,x^{2}-64 A \,a^{2} b \,c^{2} d e x -32 A a \,b^{3} c d e x +64 B \,a^{2} b^{2} c d e x +\frac{2}{5} A \,b^{5} d^{2}+4 B \,b^{5} d e \,x^{2}-\frac{16}{3} B \,b^{4} c \,d^{2} x^{2}+64 A \,a^{2} c^{3} d^{2} x +\frac{8}{3} A a \,b^{4} e^{2} x +\frac{4}{3} A \,b^{5} d e x -\frac{4}{3} A \,b^{4} c \,d^{2} x -16 B \,a^{2} b^{3} e^{2} x +\frac{128}{15} A a \,c^{4} e^{2} x^{5}+\frac{32}{5} A \,b^{2} c^{3} e^{2} x^{5}-\frac{16}{15} B \,b^{3} c^{2} e^{2} x^{5}-\frac{256}{15} B b \,c^{4} d^{2} x^{5}+16 A \,b^{3} c^{2} e^{2} x^{4}+\frac{256}{3} A b \,c^{4} d^{2} x^{4}-\frac{8}{3} B \,b^{4} c \,e^{2} x^{4}-\frac{128}{3} B \,b^{2} c^{3} d^{2} x^{4}+\frac{64}{3} A \,a^{2} c^{3} e^{2} x^{3}+\frac{256}{3} A a \,c^{4} d^{2} x^{3}+12 A \,b^{4} c \,e^{2} x^{3}+64 A \,b^{2} c^{3} d^{2} x^{3}-32 B \,b^{3} c^{2} d^{2} x^{3}+\frac{32}{3} A \,b^{3} c^{2} d^{2} x^{2}-\frac{64}{3} B \,a^{3} c^{2} e^{2} x^{2}-12 B a \,b^{4} e^{2} x^{2}-\frac{16}{3} A a \,b^{3} c \,d^{2}+\frac{64}{5} A \,a^{3} b c \,e^{2}+\frac{8}{15} A a \,b^{4} d e -\frac{128}{15} B \,a^{4} c \,e^{2}-\frac{64}{5} B \,a^{3} c^{2} d^{2}+\frac{32}{15} B \,a^{2} b^{3} d e -\frac{32}{5} B \,a^{2} b^{2} c \,d^{2}+32 A \,a^{2} b \,c^{2} d^{2}}{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} \left(64 a^{3} c^{3}-48 a^{2} b^{2} c^{2}+12 a \,b^{4} c -b^{6}\right)}"," ",0,"2/15/(c*x^2+b*x+a)^(5/2)*(64*A*a*c^4*e^2*x^5+48*A*b^2*c^3*e^2*x^5-256*A*b*c^4*d*e*x^5+256*A*c^5*d^2*x^5-96*B*a*b*c^3*e^2*x^5+128*B*a*c^4*d*e*x^5-8*B*b^3*c^2*e^2*x^5+96*B*b^2*c^3*d*e*x^5-128*B*b*c^4*d^2*x^5+160*A*a*b*c^3*e^2*x^4+120*A*b^3*c^2*e^2*x^4-640*A*b^2*c^3*d*e*x^4+640*A*b*c^4*d^2*x^4-240*B*a*b^2*c^2*e^2*x^4+320*B*a*b*c^3*d*e*x^4-20*B*b^4*c*e^2*x^4+240*B*b^3*c^2*d*e*x^4-320*B*b^2*c^3*d^2*x^4+160*A*a^2*c^3*e^2*x^3+240*A*a*b^2*c^2*e^2*x^3-640*A*a*b*c^3*d*e*x^3+640*A*a*c^4*d^2*x^3+90*A*b^4*c*e^2*x^3-480*A*b^3*c^2*d*e*x^3+480*A*b^2*c^3*d^2*x^3-240*B*a^2*b*c^2*e^2*x^3+320*B*a^2*c^3*d*e*x^3-200*B*a*b^3*c*e^2*x^3+480*B*a*b^2*c^2*d*e*x^3-320*B*a*b*c^3*d^2*x^3-15*B*b^5*e^2*x^3+180*B*b^4*c*d*e*x^3-240*B*b^3*c^2*d^2*x^3+240*A*a^2*b*c^2*e^2*x^2+200*A*a*b^3*c*e^2*x^2-960*A*a*b^2*c^2*d*e*x^2+960*A*a*b*c^3*d^2*x^2+15*A*b^5*e^2*x^2-80*A*b^4*c*d*e*x^2+80*A*b^3*c^2*d^2*x^2-160*B*a^3*c^2*e^2*x^2-240*B*a^2*b^2*c*e^2*x^2+480*B*a^2*b*c^2*d*e*x^2-90*B*a*b^4*e^2*x^2+400*B*a*b^3*c*d*e*x^2-480*B*a*b^2*c^2*d^2*x^2+30*B*b^5*d*e*x^2-40*B*b^4*c*d^2*x^2+240*A*a^2*b^2*c*e^2*x-480*A*a^2*b*c^2*d*e*x+480*A*a^2*c^3*d^2*x+20*A*a*b^4*e^2*x-240*A*a*b^3*c*d*e*x+240*A*a*b^2*c^2*d^2*x+10*A*b^5*d*e*x-10*A*b^4*c*d^2*x-160*B*a^3*b*c*e^2*x-120*B*a^2*b^3*e^2*x+480*B*a^2*b^2*c*d*e*x-240*B*a^2*b*c^2*d^2*x+40*B*a*b^4*d*e*x-120*B*a*b^3*c*d^2*x+5*B*b^5*d^2*x+96*A*a^3*b*c*e^2-192*A*a^3*c^2*d*e+8*A*a^2*b^3*e^2-96*A*a^2*b^2*c*d*e+240*A*a^2*b*c^2*d^2+4*A*a*b^4*d*e-40*A*a*b^3*c*d^2+3*A*b^5*d^2-64*B*a^4*c*e^2-48*B*a^3*b^2*e^2+192*B*a^3*b*c*d*e-96*B*a^3*c^2*d^2+16*B*a^2*b^3*d*e-48*B*a^2*b^2*c*d^2+2*B*a*b^4*d^2)/(64*a^3*c^3-48*a^2*b^2*c^2+12*a*b^4*c-b^6)","B"
2492,1,608,213,0.011000," ","int((B*x+A)*(e*x+d)/(c*x^2+b*x+a)^(7/2),x)","-\frac{2 \left(128 A b \,c^{4} e \,x^{5}-256 A \,c^{5} d \,x^{5}-64 B a \,c^{4} e \,x^{5}-48 B \,b^{2} c^{3} e \,x^{5}+128 B b \,c^{4} d \,x^{5}+320 A \,b^{2} c^{3} e \,x^{4}-640 A b \,c^{4} d \,x^{4}-160 B a b \,c^{3} e \,x^{4}-120 B \,b^{3} c^{2} e \,x^{4}+320 B \,b^{2} c^{3} d \,x^{4}+320 A a b \,c^{3} e \,x^{3}-640 A a \,c^{4} d \,x^{3}+240 A \,b^{3} c^{2} e \,x^{3}-480 A \,b^{2} c^{3} d \,x^{3}-160 B \,a^{2} c^{3} e \,x^{3}-240 B a \,b^{2} c^{2} e \,x^{3}+320 B a b \,c^{3} d \,x^{3}-90 B \,b^{4} c e \,x^{3}+240 B \,b^{3} c^{2} d \,x^{3}+480 A a \,b^{2} c^{2} e \,x^{2}-960 A a b \,c^{3} d \,x^{2}+40 A \,b^{4} c e \,x^{2}-80 A \,b^{3} c^{2} d \,x^{2}-240 B \,a^{2} b \,c^{2} e \,x^{2}-200 B a \,b^{3} c e \,x^{2}+480 B a \,b^{2} c^{2} d \,x^{2}-15 B \,b^{5} e \,x^{2}+40 B \,b^{4} c d \,x^{2}+240 A \,a^{2} b \,c^{2} e x -480 A \,a^{2} c^{3} d x +120 A a \,b^{3} c e x -240 A a \,b^{2} c^{2} d x -5 A \,b^{5} e x +10 A \,b^{4} c d x -240 B \,a^{2} b^{2} c e x +240 B \,a^{2} b \,c^{2} d x -20 B a \,b^{4} e x +120 B a \,b^{3} c d x -5 B \,b^{5} d x +96 A \,a^{3} c^{2} e +48 A \,a^{2} b^{2} c e -240 A \,a^{2} b \,c^{2} d -2 A a \,b^{4} e +40 A a \,b^{3} c d -3 A \,b^{5} d -96 B \,a^{3} b c e +96 B \,a^{3} c^{2} d -8 B \,a^{2} b^{3} e +48 B \,a^{2} b^{2} c d -2 B a \,b^{4} d \right)}{15 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} \left(64 a^{3} c^{3}-48 a^{2} b^{2} c^{2}+12 a \,b^{4} c -b^{6}\right)}"," ",0,"-2/15/(c*x^2+b*x+a)^(5/2)*(128*A*b*c^4*e*x^5-256*A*c^5*d*x^5-64*B*a*c^4*e*x^5-48*B*b^2*c^3*e*x^5+128*B*b*c^4*d*x^5+320*A*b^2*c^3*e*x^4-640*A*b*c^4*d*x^4-160*B*a*b*c^3*e*x^4-120*B*b^3*c^2*e*x^4+320*B*b^2*c^3*d*x^4+320*A*a*b*c^3*e*x^3-640*A*a*c^4*d*x^3+240*A*b^3*c^2*e*x^3-480*A*b^2*c^3*d*x^3-160*B*a^2*c^3*e*x^3-240*B*a*b^2*c^2*e*x^3+320*B*a*b*c^3*d*x^3-90*B*b^4*c*e*x^3+240*B*b^3*c^2*d*x^3+480*A*a*b^2*c^2*e*x^2-960*A*a*b*c^3*d*x^2+40*A*b^4*c*e*x^2-80*A*b^3*c^2*d*x^2-240*B*a^2*b*c^2*e*x^2-200*B*a*b^3*c*e*x^2+480*B*a*b^2*c^2*d*x^2-15*B*b^5*e*x^2+40*B*b^4*c*d*x^2+240*A*a^2*b*c^2*e*x-480*A*a^2*c^3*d*x+120*A*a*b^3*c*e*x-240*A*a*b^2*c^2*d*x-5*A*b^5*e*x+10*A*b^4*c*d*x-240*B*a^2*b^2*c*e*x+240*B*a^2*b*c^2*d*x-20*B*a*b^4*e*x+120*B*a*b^3*c*d*x-5*B*b^5*d*x+96*A*a^3*c^2*e+48*A*a^2*b^2*c*e-240*A*a^2*b*c^2*d-2*A*a*b^4*e+40*A*a*b^3*c*d-3*A*b^5*d-96*B*a^3*b*c*e+96*B*a^3*c^2*d-8*B*a^2*b^3*e+48*B*a^2*b^2*c*d-2*B*a*b^4*d)/(64*a^3*c^3-48*a^2*b^2*c^2+12*a*b^4*c-b^6)","B"
2493,1,288,121,0.009000," ","int((B*x+A)/(c*x^2+b*x+a)^(7/2),x)","\frac{\frac{512}{15} A \,c^{5} x^{5}-\frac{256}{15} B b \,c^{4} x^{5}+\frac{256}{3} A b \,c^{4} x^{4}-\frac{128}{3} B \,b^{2} c^{3} x^{4}+\frac{256}{3} A a \,c^{4} x^{3}+64 A \,b^{2} c^{3} x^{3}-\frac{128}{3} B a b \,c^{3} x^{3}-32 B \,b^{3} c^{2} x^{3}+128 A a b \,c^{3} x^{2}+\frac{32}{3} A \,b^{3} c^{2} x^{2}-64 B a \,b^{2} c^{2} x^{2}-\frac{16}{3} B \,b^{4} c \,x^{2}+64 A \,a^{2} c^{3} x +32 A a \,b^{2} c^{2} x -\frac{4}{3} A \,b^{4} c x -32 B \,a^{2} b \,c^{2} x -16 B a \,b^{3} c x +\frac{2}{3} B \,b^{5} x +32 A \,a^{2} b \,c^{2}-\frac{16}{3} A a \,b^{3} c +\frac{2}{5} A \,b^{5}-\frac{64}{5} B \,a^{3} c^{2}-\frac{32}{5} B \,a^{2} b^{2} c +\frac{4}{15} B a \,b^{4}}{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} \left(64 a^{3} c^{3}-48 a^{2} b^{2} c^{2}+12 a \,b^{4} c -b^{6}\right)}"," ",0,"2/15/(c*x^2+b*x+a)^(5/2)*(256*A*c^5*x^5-128*B*b*c^4*x^5+640*A*b*c^4*x^4-320*B*b^2*c^3*x^4+640*A*a*c^4*x^3+480*A*b^2*c^3*x^3-320*B*a*b*c^3*x^3-240*B*b^3*c^2*x^3+960*A*a*b*c^3*x^2+80*A*b^3*c^2*x^2-480*B*a*b^2*c^2*x^2-40*B*b^4*c*x^2+480*A*a^2*c^3*x+240*A*a*b^2*c^2*x-10*A*b^4*c*x-240*B*a^2*b*c^2*x-120*B*a*b^3*c*x+5*B*b^5*x+240*A*a^2*b*c^2-40*A*a*b^3*c+3*A*b^5-96*B*a^3*c^2-48*B*a^2*b^2*c+2*B*a*b^4)/(64*a^3*c^3-48*a^2*b^2*c^2+12*a*b^4*c-b^6)","B"
2494,1,5461,954,0.019000," ","int((B*x+A)/(e*x+d)/(c*x^2+b*x+a)^(7/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
2495,1,111,111,0.018000," ","int((5-x)*(3+2*x)^4/(3*x^2+5*x+2)^(1/2),x)","-\frac{16 \sqrt{3 x^{2}+5 x +2}\, x^{4}}{15}+\frac{2 \sqrt{3 x^{2}+5 x +2}\, x^{3}}{3}+\frac{3913 \sqrt{3 x^{2}+5 x +2}\, x^{2}}{135}+\frac{26875 \sqrt{3 x^{2}+5 x +2}\, x}{324}+\frac{28051 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{3888}+\frac{93943 \sqrt{3 x^{2}+5 x +2}}{1080}"," ",0,"-16/15*x^4*(3*x^2+5*x+2)^(1/2)+2/3*x^3*(3*x^2+5*x+2)^(1/2)+3913/135*x^2*(3*x^2+5*x+2)^(1/2)+26875/324*x*(3*x^2+5*x+2)^(1/2)+93943/1080*(3*x^2+5*x+2)^(1/2)+28051/3888*ln(1/3*(5/2+3*x)*3^(1/2)+(3*x^2+5*x+2)^(1/2))*3^(1/2)","A"
2496,1,94,90,0.007000," ","int((5-x)*(3+2*x)^3/(3*x^2+5*x+2)^(1/2),x)","-\frac{2 \sqrt{3 x^{2}+5 x +2}\, x^{3}}{3}+\frac{47 \sqrt{3 x^{2}+5 x +2}\, x^{2}}{27}+\frac{5845 \sqrt{3 x^{2}+5 x +2}\, x}{324}+\frac{19405 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{3888}+\frac{7253 \sqrt{3 x^{2}+5 x +2}}{216}"," ",0,"-2/3*(3*x^2+5*x+2)^(1/2)*x^3+47/27*(3*x^2+5*x+2)^(1/2)*x^2+5845/324*(3*x^2+5*x+2)^(1/2)*x+7253/216*(3*x^2+5*x+2)^(1/2)+19405/3888*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))","A"
2497,1,77,69,0.008000," ","int((5-x)*(3+2*x)^2/(3*x^2+5*x+2)^(1/2),x)","-\frac{4 \sqrt{3 x^{2}+5 x +2}\, x^{2}}{9}+\frac{61 \sqrt{3 x^{2}+5 x +2}\, x}{27}+\frac{1147 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{324}+\frac{215 \sqrt{3 x^{2}+5 x +2}}{18}"," ",0,"-4/9*(3*x^2+5*x+2)^(1/2)*x^2+61/27*(3*x^2+5*x+2)^(1/2)*x+215/18*(3*x^2+5*x+2)^(1/2)+1147/324*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))","A"
2498,1,60,48,0.009000," ","int((5-x)*(3+2*x)/(3*x^2+5*x+2)^(1/2),x)","-\frac{\sqrt{3 x^{2}+5 x +2}\, x}{3}+\frac{31 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{12}+\frac{19 \sqrt{3 x^{2}+5 x +2}}{6}"," ",0,"-1/3*(3*x^2+5*x+2)^(1/2)*x+19/6*(3*x^2+5*x+2)^(1/2)+31/12*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))","A"
2499,1,45,43,0.005000," ","int((5-x)/(3*x^2+5*x+2)^(1/2),x)","\frac{35 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{18}-\frac{\sqrt{3 x^{2}+5 x +2}}{3}"," ",0,"35/18*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))-1/3*(3*x^2+5*x+2)^(1/2)","A"
2500,1,61,57,0.009000," ","int((5-x)/(3+2*x)/(3*x^2+5*x+2)^(1/2),x)","-\frac{13 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{10}-\frac{\sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{6}"," ",0,"-1/6*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))-13/10*5^(1/2)*arctanh(2/5*(-7/2-4*x)*5^(1/2)/(12*(x+3/2)^2-16*x-19)^(1/2))","A"
2501,1,53,50,0.010000," ","int((5-x)/(3+2*x)^2/(3*x^2+5*x+2)^(1/2),x)","-\frac{47 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{50}-\frac{13 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{10 \left(x +\frac{3}{2}\right)}"," ",0,"-13/10/(x+3/2)*(3*(x+3/2)^2-4*x-19/4)^(1/2)-47/50*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))","A"
2502,1,74,71,0.011000," ","int((5-x)/(3+2*x)^3/(3*x^2+5*x+2)^(1/2),x)","-\frac{389 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{500}-\frac{73 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{50 \left(x +\frac{3}{2}\right)}-\frac{13 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{40 \left(x +\frac{3}{2}\right)^{2}}"," ",0,"-73/50/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-389/500*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))-13/40/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(1/2)","A"
2503,1,95,92,0.012000," ","int((5-x)/(3+2*x)^4/(3*x^2+5*x+2)^(1/2),x)","-\frac{331 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{500}-\frac{49 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{120 \left(x +\frac{3}{2}\right)^{2}}-\frac{36 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{25 \left(x +\frac{3}{2}\right)}-\frac{13 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{120 \left(x +\frac{3}{2}\right)^{3}}"," ",0,"-49/120/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-36/25/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-331/500*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))-13/120/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(1/2)","A"
2504,1,116,113,0.011000," ","int((5-x)/(3+2*x)^5/(3*x^2+5*x+2)^(1/2),x)","-\frac{5771 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{10000}-\frac{13 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{320 \left(x +\frac{3}{2}\right)^{4}}-\frac{43 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{300 \left(x +\frac{3}{2}\right)^{3}}-\frac{41 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{96 \left(x +\frac{3}{2}\right)^{2}}-\frac{681 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{500 \left(x +\frac{3}{2}\right)}"," ",0,"-13/320/(x+3/2)^4*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-43/300/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-41/96/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-681/500/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-5771/10000*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))","A"
2505,1,137,134,0.014000," ","int((5-x)/(3+2*x)^6/(3*x^2+5*x+2)^(1/2),x)","-\frac{128381 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{250000}-\frac{443 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{8000 \left(x +\frac{3}{2}\right)^{4}}-\frac{2321 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{15000 \left(x +\frac{3}{2}\right)^{3}}-\frac{1007 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{2400 \left(x +\frac{3}{2}\right)^{2}}-\frac{15891 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{12500 \left(x +\frac{3}{2}\right)}-\frac{13 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}{800 \left(x +\frac{3}{2}\right)^{5}}"," ",0,"-443/8000/(x+3/2)^4*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-2321/15000/(x+3/2)^3*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-1007/2400/(x+3/2)^2*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-15891/12500/(x+3/2)*(-4*x+3*(x+3/2)^2-19/4)^(1/2)-128381/250000*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))-13/800/(x+3/2)^5*(-4*x+3*(x+3/2)^2-19/4)^(1/2)","A"
2506,1,130,95,0.015000," ","int((5-x)*(3+2*x)^4/(3*x^2+5*x+2)^(3/2),x)","-\frac{16 x^{4}}{9 \sqrt{3 x^{2}+5 x +2}}+\frac{68 x^{3}}{27 \sqrt{3 x^{2}+5 x +2}}+\frac{6662 x^{2}}{81 \sqrt{3 x^{2}+5 x +2}}-\frac{6265 x}{81 \sqrt{3 x^{2}+5 x +2}}+\frac{6265 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{243}-\frac{25739}{162 \sqrt{3 x^{2}+5 x +2}}-\frac{2525 \left(6 x +5\right)}{162 \sqrt{3 x^{2}+5 x +2}}"," ",0,"-25739/162/(3*x^2+5*x+2)^(1/2)+6265/243*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))-2525/162*(5+6*x)/(3*x^2+5*x+2)^(1/2)-16/9*x^4/(3*x^2+5*x+2)^(1/2)+68/27*x^3/(3*x^2+5*x+2)^(1/2)+6662/81*x^2/(3*x^2+5*x+2)^(1/2)-6265/81*x/(3*x^2+5*x+2)^(1/2)","A"
2507,1,113,74,0.007000," ","int((5-x)*(3+2*x)^3/(3*x^2+5*x+2)^(3/2),x)","-\frac{4 x^{3}}{3 \sqrt{3 x^{2}+5 x +2}}+\frac{62 x^{2}}{9 \sqrt{3 x^{2}+5 x +2}}-\frac{247 x}{9 \sqrt{3 x^{2}+5 x +2}}+\frac{247 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{27}-\frac{881}{18 \sqrt{3 x^{2}+5 x +2}}-\frac{455 \left(6 x +5\right)}{18 \sqrt{3 x^{2}+5 x +2}}"," ",0,"-4/3/(3*x^2+5*x+2)^(1/2)*x^3+62/9/(3*x^2+5*x+2)^(1/2)*x^2-247/9/(3*x^2+5*x+2)^(1/2)*x-881/18/(3*x^2+5*x+2)^(1/2)-455/18*(6*x+5)/(3*x^2+5*x+2)^(1/2)+247/27*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))","A"
2508,1,96,67,0.007000," ","int((5-x)*(3+2*x)^2/(3*x^2+5*x+2)^(3/2),x)","-\frac{4 x^{2}}{3 \sqrt{3 x^{2}+5 x +2}}-\frac{6 x}{\sqrt{3 x^{2}+5 x +2}}+2 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)-\frac{124}{9 \sqrt{3 x^{2}+5 x +2}}-\frac{190 \left(6 x +5\right)}{9 \sqrt{3 x^{2}+5 x +2}}"," ",0,"-4/3/(3*x^2+5*x+2)^(1/2)*x^2-6/(3*x^2+5*x+2)^(1/2)*x-124/9/(3*x^2+5*x+2)^(1/2)-190/9*(6*x+5)/(3*x^2+5*x+2)^(1/2)+2*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))","A"
2509,1,79,48,0.005000," ","int((5-x)*(3+2*x)/(3*x^2+5*x+2)^(3/2),x)","\frac{2 x}{3 \sqrt{3 x^{2}+5 x +2}}-\frac{2 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{9}-\frac{26}{9 \sqrt{3 x^{2}+5 x +2}}-\frac{140 \left(6 x +5\right)}{9 \sqrt{3 x^{2}+5 x +2}}"," ",0,"2/3/(3*x^2+5*x+2)^(1/2)*x-26/9/(3*x^2+5*x+2)^(1/2)-140/9*(6*x+5)/(3*x^2+5*x+2)^(1/2)-2/9*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))","A"
2510,1,28,19,0.005000," ","int((5-x)/(3*x^2+5*x+2)^(3/2),x)","-\frac{2 \left(35 x +29\right) \left(x +1\right) \left(3 x +2\right)}{\left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}"," ",0,"-2*(29+35*x)*(1+x)*(2+3*x)/(3*x^2+5*x+2)^(3/2)","A"
2511,1,87,48,0.008000," ","int((5-x)/(3+2*x)/(3*x^2+5*x+2)^(3/2),x)","-\frac{26 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{25}+\frac{6 x +5}{\sqrt{3 x^{2}+5 x +2}}+\frac{13}{5 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{52 \left(6 x +5\right)}{5 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}"," ",0,"(6*x+5)/(3*x^2+5*x+2)^(1/2)+13/5/(-4*x+3*(x+3/2)^2-19/4)^(1/2)-52/5*(6*x+5)/(-4*x+3*(x+3/2)^2-19/4)^(1/2)-26/25*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))","A"
2512,1,90,76,0.011000," ","int((5-x)/(3+2*x)^2/(3*x^2+5*x+2)^(3/2),x)","-\frac{302 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{125}-\frac{13}{10 \left(x +\frac{3}{2}\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}+\frac{151}{25 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{214 \left(6 x +5\right)}{25 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}"," ",0,"-13/10/(x+3/2)/(-4*x+3*(x+3/2)^2-19/4)^(1/2)+151/25/(-4*x+3*(x+3/2)^2-19/4)^(1/2)-214/25*(6*x+5)/(-4*x+3*(x+3/2)^2-19/4)^(1/2)-302/125*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))","A"
2513,1,111,97,0.013000," ","int((5-x)/(3+2*x)^3/(3*x^2+5*x+2)^(3/2),x)","-\frac{483 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{125}-\frac{5}{2 \left(x +\frac{3}{2}\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}+\frac{483}{50 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{216 \left(6 x +5\right)}{25 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{13}{40 \left(x +\frac{3}{2}\right)^{2} \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}"," ",0,"-5/2/(x+3/2)/(-4*x+3*(x+3/2)^2-19/4)^(1/2)+483/50/(-4*x+3*(x+3/2)^2-19/4)^(1/2)-216/25*(6*x+5)/(-4*x+3*(x+3/2)^2-19/4)^(1/2)-483/125*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))-13/40/(x+3/2)^2/(-4*x+3*(x+3/2)^2-19/4)^(1/2)","A"
2514,1,132,118,0.011000," ","int((5-x)/(3+2*x)^4/(3*x^2+5*x+2)^(3/2),x)","-\frac{3289 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{625}-\frac{349}{600 \left(x +\frac{3}{2}\right)^{2} \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{271}{75 \left(x +\frac{3}{2}\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}+\frac{3289}{250 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{1158 \left(6 x +5\right)}{125 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{13}{120 \left(x +\frac{3}{2}\right)^{3} \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}"," ",0,"-349/600/(x+3/2)^2/(-4*x+3*(x+3/2)^2-19/4)^(1/2)-271/75/(x+3/2)/(-4*x+3*(x+3/2)^2-19/4)^(1/2)+3289/250/(-4*x+3*(x+3/2)^2-19/4)^(1/2)-1158/125*(6*x+5)/(-4*x+3*(x+3/2)^2-19/4)^(1/2)-3289/625*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))-13/120/(x+3/2)^3/(-4*x+3*(x+3/2)^2-19/4)^(1/2)","A"
2515,1,153,139,0.012000," ","int((5-x)/(3+2*x)^5/(3*x^2+5*x+2)^(3/2),x)","-\frac{82039 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{12500}-\frac{13}{320 \left(x +\frac{3}{2}\right)^{4} \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{14}{75 \left(x +\frac{3}{2}\right)^{3} \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{9619}{12000 \left(x +\frac{3}{2}\right)^{2} \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{6931}{1500 \left(x +\frac{3}{2}\right) \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}+\frac{82039}{5000 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{12729 \left(6 x +5\right)}{1250 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}"," ",0,"-13/320/(x+3/2)^4/(-4*x+3*(x+3/2)^2-19/4)^(1/2)-14/75/(x+3/2)^3/(-4*x+3*(x+3/2)^2-19/4)^(1/2)-9619/12000/(x+3/2)^2/(-4*x+3*(x+3/2)^2-19/4)^(1/2)-6931/1500/(x+3/2)/(-4*x+3*(x+3/2)^2-19/4)^(1/2)+82039/5000/(-4*x+3*(x+3/2)^2-19/4)^(1/2)-12729/1250*(6*x+5)/(-4*x+3*(x+3/2)^2-19/4)^(1/2)-82039/12500*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))","A"
2516,1,178,93,0.014000," ","int((5-x)*(3+2*x)^4/(3*x^2+5*x+2)^(5/2),x)","-\frac{16 x^{4}}{3 \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}-\frac{152 x^{3}}{27 \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}-\frac{2380 x^{2}}{27 \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}-\frac{152 x}{27 \sqrt{3 x^{2}+5 x +2}}-\frac{14639 x}{81 \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}+\frac{152 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{81}-\frac{145763}{1458 \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}+\frac{380}{81 \sqrt{3 x^{2}+5 x +2}}-\frac{16181 \left(6 x +5\right)}{1458 \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}+\frac{\frac{118048 x}{81}+\frac{295120}{243}}{\sqrt{3 x^{2}+5 x +2}}"," ",0,"-145763/1458/(3*x^2+5*x+2)^(3/2)+380/81/(3*x^2+5*x+2)^(1/2)+152/81*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))-16181/1458*(6*x+5)/(3*x^2+5*x+2)^(3/2)+59024/243*(6*x+5)/(3*x^2+5*x+2)^(1/2)-152/27/(3*x^2+5*x+2)^(1/2)*x-16/3*x^4/(3*x^2+5*x+2)^(3/2)-152/27*x^3/(3*x^2+5*x+2)^(3/2)-2380/27*x^2/(3*x^2+5*x+2)^(3/2)-14639/81*x/(3*x^2+5*x+2)^(3/2)","A"
2517,1,161,74,0.008000," ","int((5-x)*(3+2*x)^3/(3*x^2+5*x+2)^(5/2),x)","\frac{8 x^{3}}{9 \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}-\frac{32 x^{2}}{9 \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}-\frac{607 x}{27 \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}+\frac{8 x}{9 \sqrt{3 x^{2}+5 x +2}}-\frac{8 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{27}-\frac{10855}{486 \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}-\frac{4033 \left(6 x +5\right)}{486 \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}+\frac{\frac{32864 x}{27}+\frac{82160}{81}}{\sqrt{3 x^{2}+5 x +2}}-\frac{20}{27 \sqrt{3 x^{2}+5 x +2}}"," ",0,"8/9/(3*x^2+5*x+2)^(3/2)*x^3-32/9/(3*x^2+5*x+2)^(3/2)*x^2-607/27/(3*x^2+5*x+2)^(3/2)*x-10855/486/(3*x^2+5*x+2)^(3/2)-4033/486*(6*x+5)/(3*x^2+5*x+2)^(3/2)+16432/81*(6*x+5)/(3*x^2+5*x+2)^(1/2)+8/9/(3*x^2+5*x+2)^(1/2)*x-20/27/(3*x^2+5*x+2)^(1/2)-8/27*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))","B"
2518,1,38,46,0.003000," ","int((5-x)*(3+2*x)^2/(3*x^2+5*x+2)^(5/2),x)","\frac{2 \left(4372 x^{3}+10932 x^{2}+8925 x +2371\right) \left(x +1\right) \left(3 x +2\right)}{3 \left(3 x^{2}+5 x +2\right)^{\frac{5}{2}}}"," ",0,"2/3*(4372*x^3+10932*x^2+8925*x+2371)*(x+1)*(3*x+2)/(3*x^2+5*x+2)^(5/2)","A"
2519,1,38,39,0.005000," ","int((5-x)*(3+2*x)/(3*x^2+5*x+2)^(5/2),x)","\frac{2 \left(1124 x^{3}+2810 x^{2}+2295 x +611\right) \left(x +1\right) \left(3 x +2\right)}{\left(3 x^{2}+5 x +2\right)^{\frac{5}{2}}}"," ",0,"2*(1124*x^3+2810*x^2+2295*x+611)*(x+1)*(3*x+2)/(3*x^2+5*x+2)^(5/2)","A"
2520,1,38,39,0.004000," ","int((5-x)/(3*x^2+5*x+2)^(5/2),x)","\frac{2 \left(840 x^{3}+2100 x^{2}+1715 x +457\right) \left(x +1\right) \left(3 x +2\right)}{\left(3 x^{2}+5 x +2\right)^{\frac{5}{2}}}"," ",0,"2*(840*x^3+2100*x^2+1715*x+457)*(x+1)*(3*x+2)/(3*x^2+5*x+2)^(5/2)","A"
2521,1,144,67,0.009000," ","int((5-x)/(3+2*x)/(3*x^2+5*x+2)^(5/2),x)","-\frac{104 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{125}+\frac{6 x +5}{3 \left(3 x^{2}+5 x +2\right)^{\frac{3}{2}}}-\frac{8 \left(6 x +5\right)}{\sqrt{3 x^{2}+5 x +2}}+\frac{13}{15 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}-\frac{52 \left(6 x +5\right)}{15 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}+\frac{\frac{11232 x}{25}+\frac{1872}{5}}{\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}+\frac{52}{25 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}"," ",0,"1/3*(6*x+5)/(3*x^2+5*x+2)^(3/2)-8*(6*x+5)/(3*x^2+5*x+2)^(1/2)+13/15/(-4*x+3*(x+3/2)^2-19/4)^(3/2)-52/15*(6*x+5)/(-4*x+3*(x+3/2)^2-19/4)^(3/2)+1872/25*(6*x+5)/(-4*x+3*(x+3/2)^2-19/4)^(1/2)+52/25/(-4*x+3*(x+3/2)^2-19/4)^(1/2)-104/125*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))","B"
2522,1,127,102,0.012000," ","int((5-x)/(3+2*x)^2/(3*x^2+5*x+2)^(5/2),x)","-\frac{408 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{125}-\frac{13}{10 \left(x +\frac{3}{2}\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}+\frac{17}{5 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}-\frac{16 \left(6 x +5\right)}{5 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}+\frac{\frac{6624 x}{25}+\frac{1104}{5}}{\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}+\frac{204}{25 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}"," ",0,"-13/10/(x+3/2)/(-4*x+3*(x+3/2)^2-19/4)^(3/2)+17/5/(-4*x+3*(x+3/2)^2-19/4)^(3/2)-16/5*(6*x+5)/(-4*x+3*(x+3/2)^2-19/4)^(3/2)+1104/25*(6*x+5)/(-4*x+3*(x+3/2)^2-19/4)^(1/2)+204/25/(-4*x+3*(x+3/2)^2-19/4)^(1/2)-408/125*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))","A"
2523,1,148,123,0.012000," ","int((5-x)/(3+2*x)^3/(3*x^2+5*x+2)^(5/2),x)","-\frac{4884 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{625}-\frac{177}{50 \left(x +\frac{3}{2}\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}+\frac{407}{50 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}-\frac{106 \left(6 x +5\right)}{25 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}+\frac{\frac{17712 x}{125}+\frac{2952}{25}}{\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}+\frac{2442}{125 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{13}{40 \left(x +\frac{3}{2}\right)^{2} \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}"," ",0,"-177/50/(x+3/2)/(-4*x+3*(x+3/2)^2-19/4)^(3/2)+407/50/(-4*x+3*(x+3/2)^2-19/4)^(3/2)-106/25*(6*x+5)/(-4*x+3*(x+3/2)^2-19/4)^(3/2)+2952/125*(6*x+5)/(-4*x+3*(x+3/2)^2-19/4)^(1/2)+2442/125/(-4*x+3*(x+3/2)^2-19/4)^(1/2)-4884/625*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))-13/40/(x+3/2)^2/(-4*x+3*(x+3/2)^2-19/4)^(3/2)","A"
2524,1,169,144,0.013000," ","int((5-x)/(3+2*x)^4/(3*x^2+5*x+2)^(5/2),x)","-\frac{46108 \sqrt{5}\, \arctanh \left(\frac{2 \left(-4 x -\frac{7}{2}\right) \sqrt{5}}{5 \sqrt{-16 x +12 \left(x +\frac{3}{2}\right)^{2}-19}}\right)}{3125}-\frac{151}{200 \left(x +\frac{3}{2}\right)^{2} \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}-\frac{862}{125 \left(x +\frac{3}{2}\right) \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}+\frac{11527}{750 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}-\frac{2366 \left(6 x +5\right)}{375 \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}+\frac{\frac{14544 x}{625}+\frac{2424}{125}}{\sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}+\frac{23054}{625 \sqrt{-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}}}-\frac{13}{120 \left(x +\frac{3}{2}\right)^{3} \left(-4 x +3 \left(x +\frac{3}{2}\right)^{2}-\frac{19}{4}\right)^{\frac{3}{2}}}"," ",0,"-151/200/(x+3/2)^2/(-4*x+3*(x+3/2)^2-19/4)^(3/2)-862/125/(x+3/2)/(-4*x+3*(x+3/2)^2-19/4)^(3/2)+11527/750/(-4*x+3*(x+3/2)^2-19/4)^(3/2)-2366/375*(6*x+5)/(-4*x+3*(x+3/2)^2-19/4)^(3/2)+2424/625*(6*x+5)/(-4*x+3*(x+3/2)^2-19/4)^(1/2)+23054/625/(-4*x+3*(x+3/2)^2-19/4)^(1/2)-46108/3125*5^(1/2)*arctanh(2/5*(-4*x-7/2)*5^(1/2)/(-16*x+12*(x+3/2)^2-19)^(1/2))-13/120/(x+3/2)^3/(-4*x+3*(x+3/2)^2-19/4)^(3/2)","A"
2525,1,32,30,0.008000," ","int((-1+x)/(x+1)/(x^2+x+1)^(1/2),x)","\arcsinh \left(\frac{2 \sqrt{3}\, \left(x +\frac{1}{2}\right)}{3}\right)+2 \arctanh \left(\frac{-x +1}{2 \sqrt{-x +\left(x +1\right)^{2}}}\right)"," ",0,"arcsinh(2/3*3^(1/2)*(x+1/2))+2*arctanh(1/2*(1-x)/((x+1)^2-x)^(1/2))","A"
2526,1,25,37,0.005000," ","int((5-x)*(3+2*x)^(7/2)*(3*x^2+5*x+2),x)","-\frac{\left(1287 x^{3}-5841 x^{2}-10269 x -3727\right) \left(2 x +3\right)^{\frac{9}{2}}}{6435}"," ",0,"-1/6435*(1287*x^3-5841*x^2-10269*x-3727)*(3+2*x)^(9/2)","A"
2527,1,25,37,0.005000," ","int((5-x)*(2*x+3)^(5/2)*(3*x^2+5*x+2),x)","-\frac{\left(2079 x^{3}-9891 x^{2}-16429 x -5829\right) \left(2 x +3\right)^{\frac{7}{2}}}{9009}"," ",0,"-1/9009*(2079*x^3-9891*x^2-16429*x-5829)*(2*x+3)^(7/2)","A"
2528,1,25,37,0.004000," ","int((5-x)*(2*x+3)^(3/2)*(3*x^2+5*x+2),x)","-\frac{\left(189 x^{3}-959 x^{2}-1455 x -513\right) \left(2 x +3\right)^{\frac{5}{2}}}{693}"," ",0,"-1/693*(189*x^3-959*x^2-1455*x-513)*(2*x+3)^(5/2)","A"
2529,1,25,37,0.004000," ","int((5-x)*(3*x^2+5*x+2)*(2*x+3)^(1/2),x)","-\frac{\left(35 x^{3}-195 x^{2}-249 x -101\right) \left(2 x +3\right)^{\frac{3}{2}}}{105}"," ",0,"-1/105*(35*x^3-195*x^2-249*x-101)*(2*x+3)^(3/2)","A"
2530,1,25,37,0.004000," ","int((5-x)*(3*x^2+5*x+2)/(2*x+3)^(1/2),x)","-\frac{\left(45 x^{3}-291 x^{2}-223 x -381\right) \sqrt{2 x +3}}{105}"," ",0,"-1/105*(45*x^3-291*x^2-223*x-381)*(2*x+3)^(1/2)","A"
2531,1,25,37,0.003000," ","int((5-x)*(3*x^2+5*x+2)/(2*x+3)^(3/2),x)","-\frac{9 x^{3}-77 x^{2}+117 x +501}{15 \sqrt{2 x +3}}"," ",0,"-1/15*(9*x^3-77*x^2+117*x+501)/(2*x+3)^(1/2)","A"
2532,1,25,37,0.003000," ","int((5-x)*(3*x^2+5*x+2)/(2*x+3)^(5/2),x)","-\frac{3 x^{3}-57 x^{2}-273 x -263}{3 \left(2 x +3\right)^{\frac{3}{2}}}"," ",0,"-1/3*(3*x^3-57*x^2-273*x-263)/(2*x+3)^(3/2)","A"
2533,1,25,37,0.004000," ","int((5-x)*(3*x^2+5*x+2)/(2*x+3)^(7/2),x)","-\frac{9 x^{3}+111 x^{2}+245 x +153}{3 \left(2 x +3\right)^{\frac{5}{2}}}"," ",0,"-1/3*(9*x^3+111*x^2+245*x+153)/(2*x+3)^(5/2)","A"
2534,1,35,55,0.007000," ","int((5-x)*(2*x+3)^(7/2)*(3*x^2+5*x+2)^2,x)","-\frac{\left(984555 x^{5}-2702700 x^{4}-13495911 x^{3}-17037702 x^{2}-8846388 x -1670104\right) \left(2 x +3\right)^{\frac{9}{2}}}{2078505}"," ",0,"-1/2078505*(984555*x^5-2702700*x^4-13495911*x^3-17037702*x^2-8846388*x-1670104)*(2*x+3)^(9/2)","A"
2535,1,35,55,0.007000," ","int((5-x)*(2*x+3)^(5/2)*(3*x^2+5*x+2)^2,x)","-\frac{\left(27027 x^{5}-78078 x^{4}-371679 x^{3}-461664 x^{2}-236768 x -44388\right) \left(2 x +3\right)^{\frac{7}{2}}}{51051}"," ",0,"-1/51051*(27027*x^5-78078*x^4-371679*x^3-461664*x^2-236768*x-44388)*(2*x+3)^(7/2)","A"
2536,1,35,55,0.006000," ","int((5-x)*(2*x+3)^(3/2)*(3*x^2+5*x+2)^2,x)","-\frac{\left(9009 x^{5}-27720 x^{4}-124005 x^{3}-151270 x^{2}-76260 x -14304\right) \left(2 x +3\right)^{\frac{5}{2}}}{15015}"," ",0,"-1/15015*(9009*x^5-27720*x^4-124005*x^3-151270*x^2-76260*x-14304)*(2*x+3)^(5/2)","A"
2537,1,35,55,0.005000," ","int((5-x)*(3*x^2+5*x+2)^2*(2*x+3)^(1/2),x)","-\frac{\left(81 x^{5}-270 x^{4}-1109 x^{3}-1332 x^{2}-648 x -132\right) \left(2 x +3\right)^{\frac{3}{2}}}{117}"," ",0,"-1/117*(81*x^5-270*x^4-1109*x^3-1332*x^2-648*x-132)*(2*x+3)^(3/2)","A"
2538,1,35,55,0.005000," ","int((5-x)*(3*x^2+5*x+2)^2/(2*x+3)^(1/2),x)","-\frac{\left(945 x^{5}-3500 x^{4}-12645 x^{3}-15354 x^{2}-6252 x -4344\right) \sqrt{2 x +3}}{1155}"," ",0,"-1/1155*(945*x^5-3500*x^4-12645*x^3-15354*x^2-6252*x-4344)*(2*x+3)^(1/2)","A"
2539,1,35,55,0.006000," ","int((5-x)*(3*x^2+5*x+2)^2/(2*x+3)^(3/2),x)","-\frac{35 x^{5}-150 x^{4}-431 x^{3}-632 x^{2}+432 x +1996}{35 \sqrt{2 x +3}}"," ",0,"-1/35*(35*x^5-150*x^4-431*x^3-632*x^2+432*x+1996)/(2*x+3)^(1/2)","A"
2540,1,35,55,0.006000," ","int((5-x)*(3*x^2+5*x+2)^2/(2*x+3)^(5/2),x)","-\frac{27 x^{5}-144 x^{4}-215 x^{3}-1530 x^{2}-7164 x -7024}{21 \left(2 x +3\right)^{\frac{3}{2}}}"," ",0,"-1/21*(27*x^5-144*x^4-215*x^3-1530*x^2-7164*x-7024)/(2*x+3)^(3/2)","A"
2541,1,35,55,0.005000," ","int((5-x)*(3*x^2+5*x+2)^2/(2*x+3)^(7/2),x)","-\frac{9 x^{5}-70 x^{4}+275 x^{3}+3300 x^{2}+6760 x +4076}{5 \left(2 x +3\right)^{\frac{5}{2}}}"," ",0,"-1/5*(9*x^5-70*x^4+275*x^3+3300*x^2+6760*x+4076)/(2*x+3)^(5/2)","A"
2542,1,45,73,0.005000," ","int((5-x)*(2*x+3)^(7/2)*(3*x^2+5*x+2)^3,x)","-\frac{\left(56119635 x^{7}-56119635 x^{6}-943203690 x^{5}-2232945000 x^{4}-2481091899 x^{3}-1481619843 x^{2}-460865502 x -58847566\right) \left(2 x +3\right)^{\frac{9}{2}}}{47805615}"," ",0,"-1/47805615*(56119635*x^7-56119635*x^6-943203690*x^5-2232945000*x^4-2481091899*x^3-1481619843*x^2-460865502*x-58847566)*(2*x+3)^(9/2)","A"
2543,1,45,73,0.006000," ","int((5-x)*(2*x+3)^(5/2)*(3*x^2+5*x+2)^3,x)","-\frac{\left(20007 x^{7}-22113 x^{6}-339066 x^{5}-791700 x^{4}-871983 x^{3}-517293 x^{2}-160006 x -20346\right) \left(2 x +3\right)^{\frac{7}{2}}}{15561}"," ",0,"-1/15561*(20007*x^7-22113*x^6-339066*x^5-791700*x^4-871983*x^3-517293*x^2-160006*x-20346)*(2*x+3)^(7/2)","A"
2544,1,45,73,0.005000," ","int((5-x)*(2*x+3)^(3/2)*(3*x^2+5*x+2)^3,x)","-\frac{\left(6891885 x^{7}-8513505 x^{6}-117819702 x^{5}-270695040 x^{4}-295054725 x^{3}-173763625 x^{2}-53367570 x -6778218\right) \left(2 x +3\right)^{\frac{5}{2}}}{4849845}"," ",0,"-1/4849845*(6891885*x^7-8513505*x^6-117819702*x^5-270695040*x^4-295054725*x^3-173763625*x^2-53367570*x-6778218)*(2*x+3)^(5/2)","A"
2545,1,45,73,0.005000," ","int((5-x)*(3*x^2+5*x+2)^3*(2*x+3)^(1/2),x)","-\frac{\left(1216215 x^{7}-1702701 x^{6}-20968794 x^{5}-47286540 x^{4}-50880095 x^{3}-29756385 x^{2}-9013014 x -1197186\right) \left(2 x +3\right)^{\frac{3}{2}}}{765765}"," ",0,"-1/765765*(1216215*x^7-1702701*x^6-20968794*x^5-47286540*x^4-50880095*x^3-29756385*x^2-9013014*x-1197186)*(2*x+3)^(3/2)","A"
2546,1,45,73,0.006000," ","int((5-x)*(3*x^2+5*x+2)^3/(2*x+3)^(1/2),x)","-\frac{\left(81081 x^{7}-130977 x^{6}-1407294 x^{5}-3109960 x^{4}-3285105 x^{3}-1924641 x^{2}-535098 x -196506\right) \sqrt{2 x +3}}{45045}"," ",0,"-1/45045*(81081*x^7-130977*x^6-1407294*x^5-3109960*x^4-3285105*x^3-1924641*x^2-535098*x-196506)*(2*x+3)^(1/2)","A"
2547,1,45,73,0.007000," ","int((5-x)*(3*x^2+5*x+2)^3/(2*x+3)^(3/2),x)","-\frac{10395 x^{7}-19845 x^{6}-180530 x^{5}-392500 x^{4}-398339 x^{3}-256433 x^{2}+77138 x +431614}{5005 \sqrt{2 x +3}}"," ",0,"-1/5005*(10395*x^7-19845*x^6-180530*x^5-392500*x^4-398339*x^3-256433*x^2+77138*x+431614)/(2*x+3)^(1/2)","A"
2548,1,45,73,0.006000," ","int((5-x)*(3*x^2+5*x+2)^3/(2*x+3)^(5/2),x)","-\frac{567 x^{7}-1323 x^{6}-9666 x^{5}-21360 x^{4}-17663 x^{3}-42003 x^{2}-184566 x -181486}{231 \left(2 x +3\right)^{\frac{3}{2}}}"," ",0,"-1/231*(567*x^7-1323*x^6-9666*x^5-21360*x^4-17663*x^3-42003*x^2-184566*x-181486)/(2*x+3)^(3/2)","A"
2549,1,45,73,0.005000," ","int((5-x)*(3*x^2+5*x+2)^3/(2*x+3)^(7/2),x)","-\frac{45 x^{7}-135 x^{6}-702 x^{5}-1940 x^{4}+3195 x^{3}+41805 x^{2}+85070 x +51162}{15 \left(2 x +3\right)^{\frac{5}{2}}}"," ",0,"-1/15*(45*x^7-135*x^6-702*x^5-1940*x^4+3195*x^3+41805*x^2+85070*x+51162)/(2*x+3)^(5/2)","A"
2550,1,80,65,0.020000," ","int((5-x)*(2*x+3)^(7/2)/(3*x^2+5*x+2),x)","-\frac{4250 \sqrt{15}\, \arctanh \left(\frac{\sqrt{15}\, \sqrt{2 x +3}}{5}\right)}{243}-6 \ln \left(-1+\sqrt{2 x +3}\right)+6 \ln \left(\sqrt{2 x +3}+1\right)-\frac{2 \left(2 x +3\right)^{\frac{7}{2}}}{21}+\frac{62 \left(2 x +3\right)^{\frac{5}{2}}}{45}+\frac{526 \left(2 x +3\right)^{\frac{3}{2}}}{81}+\frac{3278 \sqrt{2 x +3}}{81}"," ",0,"-2/21*(2*x+3)^(7/2)+62/45*(2*x+3)^(5/2)+526/81*(2*x+3)^(3/2)+3278/81*(2*x+3)^(1/2)-4250/243*arctanh(1/5*15^(1/2)*(2*x+3)^(1/2))*15^(1/2)+6*ln((2*x+3)^(1/2)+1)-6*ln(-1+(2*x+3)^(1/2))","A"
2551,1,71,56,0.012000," ","int((5-x)*(2*x+3)^(5/2)/(3*x^2+5*x+2),x)","-\frac{850 \sqrt{15}\, \arctanh \left(\frac{\sqrt{15}\, \sqrt{2 x +3}}{5}\right)}{81}-6 \ln \left(-1+\sqrt{2 x +3}\right)+6 \ln \left(\sqrt{2 x +3}+1\right)-\frac{2 \left(2 x +3\right)^{\frac{5}{2}}}{15}+\frac{62 \left(2 x +3\right)^{\frac{3}{2}}}{27}+\frac{526 \sqrt{2 x +3}}{27}"," ",0,"-2/15*(2*x+3)^(5/2)+62/27*(2*x+3)^(3/2)+526/27*(2*x+3)^(1/2)-850/81*arctanh(1/5*15^(1/2)*(2*x+3)^(1/2))*15^(1/2)+6*ln((2*x+3)^(1/2)+1)-6*ln(-1+(2*x+3)^(1/2))","A"
2552,1,62,47,0.012000," ","int((5-x)*(2*x+3)^(3/2)/(3*x^2+5*x+2),x)","-\frac{170 \sqrt{15}\, \arctanh \left(\frac{\sqrt{15}\, \sqrt{2 x +3}}{5}\right)}{27}-6 \ln \left(-1+\sqrt{2 x +3}\right)+6 \ln \left(\sqrt{2 x +3}+1\right)-\frac{2 \left(2 x +3\right)^{\frac{3}{2}}}{9}+\frac{62 \sqrt{2 x +3}}{9}"," ",0,"-2/9*(2*x+3)^(3/2)+62/9*(2*x+3)^(1/2)-170/27*arctanh(1/5*15^(1/2)*(2*x+3)^(1/2))*15^(1/2)+6*ln((2*x+3)^(1/2)+1)-6*ln(-1+(2*x+3)^(1/2))","A"
2553,1,53,38,0.012000," ","int((5-x)*(2*x+3)^(1/2)/(3*x^2+5*x+2),x)","-\frac{34 \sqrt{15}\, \arctanh \left(\frac{\sqrt{15}\, \sqrt{2 x +3}}{5}\right)}{9}-6 \ln \left(-1+\sqrt{2 x +3}\right)+6 \ln \left(\sqrt{2 x +3}+1\right)-\frac{2 \sqrt{2 x +3}}{3}"," ",0,"-2/3*(2*x+3)^(1/2)-34/9*arctanh(1/5*15^(1/2)*(2*x+3)^(1/2))*15^(1/2)+6*ln((2*x+3)^(1/2)+1)-6*ln(-1+(2*x+3)^(1/2))","A"
2554,1,44,29,0.010000," ","int((5-x)/(3*x^2+5*x+2)/(2*x+3)^(1/2),x)","-\frac{34 \sqrt{15}\, \arctanh \left(\frac{\sqrt{15}\, \sqrt{2 x +3}}{5}\right)}{15}-6 \ln \left(-1+\sqrt{2 x +3}\right)+6 \ln \left(\sqrt{2 x +3}+1\right)"," ",0,"-34/15*arctanh(1/5*15^(1/2)*(2*x+3)^(1/2))*15^(1/2)+6*ln((2*x+3)^(1/2)+1)-6*ln(-1+(2*x+3)^(1/2))","A"
2555,1,53,38,0.013000," ","int((5-x)/(2*x+3)^(3/2)/(3*x^2+5*x+2),x)","-\frac{34 \sqrt{15}\, \arctanh \left(\frac{\sqrt{15}\, \sqrt{2 x +3}}{5}\right)}{25}-6 \ln \left(-1+\sqrt{2 x +3}\right)+6 \ln \left(\sqrt{2 x +3}+1\right)-\frac{26}{5 \sqrt{2 x +3}}"," ",0,"-26/5/(2*x+3)^(1/2)-34/25*arctanh(1/5*15^(1/2)*(2*x+3)^(1/2))*15^(1/2)+6*ln((2*x+3)^(1/2)+1)-6*ln(-1+(2*x+3)^(1/2))","A"
2556,1,62,47,0.014000," ","int((5-x)/(2*x+3)^(5/2)/(3*x^2+5*x+2),x)","-\frac{102 \sqrt{15}\, \arctanh \left(\frac{\sqrt{15}\, \sqrt{2 x +3}}{5}\right)}{125}-6 \ln \left(-1+\sqrt{2 x +3}\right)+6 \ln \left(\sqrt{2 x +3}+1\right)-\frac{26}{15 \left(2 x +3\right)^{\frac{3}{2}}}-\frac{198}{25 \sqrt{2 x +3}}"," ",0,"-102/125*arctanh(1/5*15^(1/2)*(2*x+3)^(1/2))*15^(1/2)+6*ln((2*x+3)^(1/2)+1)-26/15/(2*x+3)^(3/2)-198/25/(2*x+3)^(1/2)-6*ln(-1+(2*x+3)^(1/2))","A"
2557,1,71,56,0.015000," ","int((5-x)/(2*x+3)^(7/2)/(3*x^2+5*x+2),x)","-\frac{306 \sqrt{15}\, \arctanh \left(\frac{\sqrt{15}\, \sqrt{2 x +3}}{5}\right)}{625}-6 \ln \left(-1+\sqrt{2 x +3}\right)+6 \ln \left(\sqrt{2 x +3}+1\right)-\frac{26}{25 \left(2 x +3\right)^{\frac{5}{2}}}-\frac{66}{25 \left(2 x +3\right)^{\frac{3}{2}}}-\frac{1194}{125 \sqrt{2 x +3}}"," ",0,"-306/625*arctanh(1/5*15^(1/2)*(2*x+3)^(1/2))*15^(1/2)+6*ln((2*x+3)^(1/2)+1)-26/25/(2*x+3)^(5/2)-66/25/(2*x+3)^(3/2)-1194/125/(2*x+3)^(1/2)-6*ln(-1+(2*x+3)^(1/2))","A"
2558,1,104,73,0.027000," ","int((5-x)*(2*x+3)^(7/2)/(3*x^2+5*x+2)^2,x)","\frac{2800 \sqrt{15}\, \arctanh \left(\frac{\sqrt{15}\, \sqrt{2 x +3}}{5}\right)}{81}+77 \ln \left(-1+\sqrt{2 x +3}\right)-77 \ln \left(\sqrt{2 x +3}+1\right)-\frac{8 \left(2 x +3\right)^{\frac{3}{2}}}{27}+\frac{184 \sqrt{2 x +3}}{27}-\frac{4250 \sqrt{2 x +3}}{81 \left(2 x +\frac{4}{3}\right)}-\frac{6}{\sqrt{2 x +3}+1}-\frac{6}{-1+\sqrt{2 x +3}}"," ",0,"-8/27*(2*x+3)^(3/2)+184/27*(2*x+3)^(1/2)-4250/81*(2*x+3)^(1/2)/(4/3+2*x)+2800/81*arctanh(1/5*15^(1/2)*(2*x+3)^(1/2))*15^(1/2)-6/((2*x+3)^(1/2)+1)-77*ln((2*x+3)^(1/2)+1)-6/(-1+(2*x+3)^(1/2))+77*ln(-1+(2*x+3)^(1/2))","A"
2559,1,95,64,0.020000," ","int((5-x)*(2*x+3)^(5/2)/(3*x^2+5*x+2)^2,x)","\frac{100 \sqrt{15}\, \arctanh \left(\frac{\sqrt{15}\, \sqrt{2 x +3}}{5}\right)}{3}+65 \ln \left(-1+\sqrt{2 x +3}\right)-65 \ln \left(\sqrt{2 x +3}+1\right)-\frac{8 \sqrt{2 x +3}}{9}-\frac{850 \sqrt{2 x +3}}{27 \left(2 x +\frac{4}{3}\right)}-\frac{6}{\sqrt{2 x +3}+1}-\frac{6}{-1+\sqrt{2 x +3}}"," ",0,"-8/9*(2*x+3)^(1/2)-850/27*(2*x+3)^(1/2)/(2*x+4/3)+100/3*arctanh(1/5*15^(1/2)*(2*x+3)^(1/2))*15^(1/2)-6/((2*x+3)^(1/2)+1)-65*ln((2*x+3)^(1/2)+1)-6/(-1+(2*x+3)^(1/2))+65*ln(-1+(2*x+3)^(1/2))","A"
2560,1,86,55,0.019000," ","int((5-x)*(2*x+3)^(3/2)/(3*x^2+5*x+2)^2,x)","\frac{248 \sqrt{15}\, \arctanh \left(\frac{\sqrt{15}\, \sqrt{2 x +3}}{5}\right)}{9}+53 \ln \left(-1+\sqrt{2 x +3}\right)-53 \ln \left(\sqrt{2 x +3}+1\right)-\frac{170 \sqrt{2 x +3}}{9 \left(2 x +\frac{4}{3}\right)}-\frac{6}{\sqrt{2 x +3}+1}-\frac{6}{-1+\sqrt{2 x +3}}"," ",0,"-170/9*(2*x+3)^(1/2)/(2*x+4/3)+248/9*arctanh(1/5*15^(1/2)*(2*x+3)^(1/2))*15^(1/2)-6/((2*x+3)^(1/2)+1)-53*ln((2*x+3)^(1/2)+1)-6/(-1+(2*x+3)^(1/2))+53*ln(-1+(2*x+3)^(1/2))","A"
2561,1,86,55,0.019000," ","int((5-x)*(2*x+3)^(1/2)/(3*x^2+5*x+2)^2,x)","\frac{316 \sqrt{15}\, \arctanh \left(\frac{\sqrt{15}\, \sqrt{2 x +3}}{5}\right)}{15}+41 \ln \left(-1+\sqrt{2 x +3}\right)-41 \ln \left(\sqrt{2 x +3}+1\right)-\frac{34 \sqrt{2 x +3}}{3 \left(2 x +\frac{4}{3}\right)}-\frac{6}{\sqrt{2 x +3}+1}-\frac{6}{-1+\sqrt{2 x +3}}"," ",0,"-34/3*(2*x+3)^(1/2)/(2*x+4/3)+316/15*arctanh(1/5*15^(1/2)*(2*x+3)^(1/2))*15^(1/2)-6/((2*x+3)^(1/2)+1)-41*ln((2*x+3)^(1/2)+1)-6/(-1+(2*x+3)^(1/2))+41*ln(-1+(2*x+3)^(1/2))","A"
2562,1,86,55,0.020000," ","int((5-x)/(3*x^2+5*x+2)^2/(2*x+3)^(1/2),x)","\frac{384 \sqrt{15}\, \arctanh \left(\frac{\sqrt{15}\, \sqrt{2 x +3}}{5}\right)}{25}+29 \ln \left(-1+\sqrt{2 x +3}\right)-29 \ln \left(\sqrt{2 x +3}+1\right)-\frac{34 \sqrt{2 x +3}}{5 \left(2 x +\frac{4}{3}\right)}-\frac{6}{\sqrt{2 x +3}+1}-\frac{6}{-1+\sqrt{2 x +3}}"," ",0,"-34/5*(2*x+3)^(1/2)/(2*x+4/3)+384/25*arctanh(1/5*15^(1/2)*(2*x+3)^(1/2))*15^(1/2)-6/((2*x+3)^(1/2)+1)-29*ln((2*x+3)^(1/2)+1)-6/(-1+(2*x+3)^(1/2))+29*ln(-1+(2*x+3)^(1/2))","A"
2563,1,95,64,0.023000," ","int((5-x)/(2*x+3)^(3/2)/(3*x^2+5*x+2)^2,x)","\frac{1356 \sqrt{15}\, \arctanh \left(\frac{\sqrt{15}\, \sqrt{2 x +3}}{5}\right)}{125}+17 \ln \left(-1+\sqrt{2 x +3}\right)-17 \ln \left(\sqrt{2 x +3}+1\right)-\frac{102 \sqrt{2 x +3}}{25 \left(2 x +\frac{4}{3}\right)}-\frac{6}{\sqrt{2 x +3}+1}-\frac{104}{25 \sqrt{2 x +3}}-\frac{6}{-1+\sqrt{2 x +3}}"," ",0,"-102/25*(2*x+3)^(1/2)/(2*x+4/3)+1356/125*arctanh(1/5*15^(1/2)*(2*x+3)^(1/2))*15^(1/2)-6/((2*x+3)^(1/2)+1)-17*ln((2*x+3)^(1/2)+1)-104/25/(2*x+3)^(1/2)-6/(-1+(2*x+3)^(1/2))+17*ln(-1+(2*x+3)^(1/2))","A"
2564,1,104,73,0.023000," ","int((5-x)/(2*x+3)^(5/2)/(3*x^2+5*x+2)^2,x)","\frac{936 \sqrt{15}\, \arctanh \left(\frac{\sqrt{15}\, \sqrt{2 x +3}}{5}\right)}{125}+5 \ln \left(-1+\sqrt{2 x +3}\right)-5 \ln \left(\sqrt{2 x +3}+1\right)-\frac{306 \sqrt{2 x +3}}{125 \left(2 x +\frac{4}{3}\right)}-\frac{6}{\sqrt{2 x +3}+1}-\frac{104}{75 \left(2 x +3\right)^{\frac{3}{2}}}-\frac{1624}{125 \sqrt{2 x +3}}-\frac{6}{-1+\sqrt{2 x +3}}"," ",0,"-306/125*(2*x+3)^(1/2)/(2*x+4/3)+936/125*arctanh(1/5*15^(1/2)*(2*x+3)^(1/2))*15^(1/2)-6/((2*x+3)^(1/2)+1)-5*ln((2*x+3)^(1/2)+1)-104/75/(2*x+3)^(3/2)-1624/125/(2*x+3)^(1/2)-6/(-1+(2*x+3)^(1/2))+5*ln(-1+(2*x+3)^(1/2))","A"
2565,1,113,82,0.023000," ","int((5-x)/(2*x+3)^(7/2)/(3*x^2+5*x+2)^2,x)","\frac{15876 \sqrt{15}\, \arctanh \left(\frac{\sqrt{15}\, \sqrt{2 x +3}}{5}\right)}{3125}-7 \ln \left(-1+\sqrt{2 x +3}\right)+7 \ln \left(\sqrt{2 x +3}+1\right)-\frac{918 \sqrt{2 x +3}}{625 \left(2 x +\frac{4}{3}\right)}-\frac{6}{\sqrt{2 x +3}+1}-\frac{104}{125 \left(2 x +3\right)^{\frac{5}{2}}}-\frac{1624}{375 \left(2 x +3\right)^{\frac{3}{2}}}-\frac{16208}{625 \sqrt{2 x +3}}-\frac{6}{-1+\sqrt{2 x +3}}"," ",0,"-918/625*(2*x+3)^(1/2)/(2*x+4/3)+15876/3125*arctanh(1/5*15^(1/2)*(2*x+3)^(1/2))*15^(1/2)-6/((2*x+3)^(1/2)+1)+7*ln((2*x+3)^(1/2)+1)-104/125/(2*x+3)^(5/2)-1624/375/(2*x+3)^(3/2)-16208/625/(2*x+3)^(1/2)-6/(-1+(2*x+3)^(1/2))-7*ln(-1+(2*x+3)^(1/2))","A"
2566,1,133,90,0.022000," ","int((5-x)*(2*x+3)^(9/2)/(3*x^2+5*x+2)^3,x)","-\frac{13675 \sqrt{15}\, \arctanh \left(\frac{\sqrt{15}\, \sqrt{2 x +3}}{5}\right)}{27}-981 \ln \left(-1+\sqrt{2 x +3}\right)+981 \ln \left(\sqrt{2 x +3}+1\right)-\frac{32 \sqrt{2 x +3}}{27}+\frac{\frac{9625 \left(2 x +3\right)^{\frac{3}{2}}}{3}-\frac{165625 \sqrt{2 x +3}}{27}}{\left(6 x +4\right)^{2}}-\frac{3}{\left(\sqrt{2 x +3}+1\right)^{2}}+\frac{104}{\sqrt{2 x +3}+1}+\frac{3}{\left(-1+\sqrt{2 x +3}\right)^{2}}+\frac{104}{-1+\sqrt{2 x +3}}"," ",0,"-32/27*(2*x+3)^(1/2)+1250/3*(77/10*(2*x+3)^(3/2)-265/18*(2*x+3)^(1/2))/(6*x+4)^2-13675/27*arctanh(1/5*15^(1/2)*(2*x+3)^(1/2))*15^(1/2)-3/((2*x+3)^(1/2)+1)^2+104/((2*x+3)^(1/2)+1)+981*ln((2*x+3)^(1/2)+1)+3/(-1+(2*x+3)^(1/2))^2+104/(-1+(2*x+3)^(1/2))-981*ln(-1+(2*x+3)^(1/2))","A"
2567,1,124,81,0.020000," ","int((5-x)*(2*x+3)^(7/2)/(3*x^2+5*x+2)^3,x)","-\frac{1225 \sqrt{15}\, \arctanh \left(\frac{\sqrt{15}\, \sqrt{2 x +3}}{5}\right)}{3}-791 \ln \left(-1+\sqrt{2 x +3}\right)+791 \ln \left(\sqrt{2 x +3}+1\right)+\frac{\frac{7475 \left(2 x +3\right)^{\frac{3}{2}}}{3}-4625 \sqrt{2 x +3}}{\left(6 x +4\right)^{2}}-\frac{3}{\left(\sqrt{2 x +3}+1\right)^{2}}+\frac{92}{\sqrt{2 x +3}+1}+\frac{3}{\left(-1+\sqrt{2 x +3}\right)^{2}}+\frac{92}{-1+\sqrt{2 x +3}}"," ",0,"450*(299/54*(2*x+3)^(3/2)-185/18*(2*x+3)^(1/2))/(6*x+4)^2-1225/3*arctanh(1/5*15^(1/2)*(2*x+3)^(1/2))*15^(1/2)-3/((2*x+3)^(1/2)+1)^2+92/((2*x+3)^(1/2)+1)+791*ln((2*x+3)^(1/2)+1)+3/(-1+(2*x+3)^(1/2))^2+92/(-1+(2*x+3)^(1/2))-791*ln(-1+(2*x+3)^(1/2))","A"
2568,1,124,81,0.020000," ","int((5-x)*(2*x+3)^(5/2)/(3*x^2+5*x+2)^3,x)","-\frac{2905 \sqrt{15}\, \arctanh \left(\frac{\sqrt{15}\, \sqrt{2 x +3}}{5}\right)}{9}-625 \ln \left(-1+\sqrt{2 x +3}\right)+625 \ln \left(\sqrt{2 x +3}+1\right)+\frac{1835 \left(2 x +3\right)^{\frac{3}{2}}-\frac{10025 \sqrt{2 x +3}}{3}}{\left(6 x +4\right)^{2}}-\frac{3}{\left(\sqrt{2 x +3}+1\right)^{2}}+\frac{80}{\sqrt{2 x +3}+1}+\frac{3}{\left(-1+\sqrt{2 x +3}\right)^{2}}+\frac{80}{-1+\sqrt{2 x +3}}"," ",0,"90*(367/18*(2*x+3)^(3/2)-2005/54*(2*x+3)^(1/2))/(6*x+4)^2-2905/9*arctanh(1/5*15^(1/2)*(2*x+3)^(1/2))*15^(1/2)-3/((2*x+3)^(1/2)+1)^2+80/((2*x+3)^(1/2)+1)+625*ln((2*x+3)^(1/2)+1)+3/(-1+(2*x+3)^(1/2))^2+80/(-1+(2*x+3)^(1/2))-625*ln(-1+(2*x+3)^(1/2))","A"
2569,1,124,81,0.020000," ","int((5-x)*(2*x+3)^(3/2)/(3*x^2+5*x+2)^3,x)","-\frac{1247 \sqrt{15}\, \arctanh \left(\frac{\sqrt{15}\, \sqrt{2 x +3}}{5}\right)}{5}-483 \ln \left(-1+\sqrt{2 x +3}\right)+483 \ln \left(\sqrt{2 x +3}+1\right)+\frac{1305 \left(2 x +3\right)^{\frac{3}{2}}-2345 \sqrt{2 x +3}}{\left(6 x +4\right)^{2}}-\frac{3}{\left(\sqrt{2 x +3}+1\right)^{2}}+\frac{68}{\sqrt{2 x +3}+1}+\frac{3}{\left(-1+\sqrt{2 x +3}\right)^{2}}+\frac{68}{-1+\sqrt{2 x +3}}"," ",0,"18*(145/2*(2*x+3)^(3/2)-2345/18*(2*x+3)^(1/2))/(6*x+4)^2-1247/5*arctanh(1/5*15^(1/2)*(2*x+3)^(1/2))*15^(1/2)-3/((2*x+3)^(1/2)+1)^2+68/((2*x+3)^(1/2)+1)+483*ln((2*x+3)^(1/2)+1)+3/(-1+(2*x+3)^(1/2))^2+68/(-1+(2*x+3)^(1/2))-483*ln(-1+(2*x+3)^(1/2))","A"
2570,1,124,81,0.021000," ","int((5-x)*(2*x+3)^(1/2)/(3*x^2+5*x+2)^3,x)","-\frac{4713 \sqrt{15}\, \arctanh \left(\frac{\sqrt{15}\, \sqrt{2 x +3}}{5}\right)}{25}-365 \ln \left(-1+\sqrt{2 x +3}\right)+365 \ln \left(\sqrt{2 x +3}+1\right)+\frac{\frac{4527 \left(2 x +3\right)^{\frac{3}{2}}}{5}-1611 \sqrt{2 x +3}}{\left(6 x +4\right)^{2}}-\frac{3}{\left(\sqrt{2 x +3}+1\right)^{2}}+\frac{56}{\sqrt{2 x +3}+1}+\frac{3}{\left(-1+\sqrt{2 x +3}\right)^{2}}+\frac{56}{-1+\sqrt{2 x +3}}"," ",0,"162*(503/90*(2*x+3)^(3/2)-179/18*(2*x+3)^(1/2))/(6*x+4)^2-4713/25*arctanh(1/5*15^(1/2)*(2*x+3)^(1/2))*15^(1/2)-3/((2*x+3)^(1/2)+1)^2+56/((2*x+3)^(1/2)+1)+365*ln((2*x+3)^(1/2)+1)+3/(-1+(2*x+3)^(1/2))^2+56/(-1+(2*x+3)^(1/2))-365*ln(-1+(2*x+3)^(1/2))","A"
2571,1,124,81,0.021000," ","int((5-x)/(3*x^2+5*x+2)^3/(2*x+3)^(1/2),x)","-\frac{17463 \sqrt{15}\, \arctanh \left(\frac{\sqrt{15}\, \sqrt{2 x +3}}{5}\right)}{125}-271 \ln \left(-1+\sqrt{2 x +3}\right)+271 \ln \left(\sqrt{2 x +3}+1\right)+\frac{\frac{15417 \left(2 x +3\right)^{\frac{3}{2}}}{25}-1089 \sqrt{2 x +3}}{\left(6 x +4\right)^{2}}-\frac{3}{\left(\sqrt{2 x +3}+1\right)^{2}}+\frac{44}{\sqrt{2 x +3}+1}+\frac{3}{\left(-1+\sqrt{2 x +3}\right)^{2}}+\frac{44}{-1+\sqrt{2 x +3}}"," ",0,"486*(571/450*(2*x+3)^(3/2)-121/54*(2*x+3)^(1/2))/(6*x+4)^2-17463/125*arctanh(1/5*15^(1/2)*(2*x+3)^(1/2))*15^(1/2)-3/((2*x+3)^(1/2)+1)^2+44/((2*x+3)^(1/2)+1)+271*ln((2*x+3)^(1/2)+1)+3/(-1+(2*x+3)^(1/2))^2+44/(-1+(2*x+3)^(1/2))-271*ln(-1+(2*x+3)^(1/2))","A"
2572,1,133,90,0.021000," ","int((5-x)/(2*x+3)^(3/2)/(3*x^2+5*x+2)^3,x)","-\frac{12717 \sqrt{15}\, \arctanh \left(\frac{\sqrt{15}\, \sqrt{2 x +3}}{5}\right)}{125}-201 \ln \left(-1+\sqrt{2 x +3}\right)+201 \ln \left(\sqrt{2 x +3}+1\right)+\frac{\frac{51759 \left(2 x +3\right)^{\frac{3}{2}}}{125}-\frac{18171 \sqrt{2 x +3}}{25}}{\left(6 x +4\right)^{2}}+\frac{32}{\sqrt{2 x +3}+1}-\frac{3}{\left(\sqrt{2 x +3}+1\right)^{2}}-\frac{416}{125 \sqrt{2 x +3}}+\frac{32}{-1+\sqrt{2 x +3}}+\frac{3}{\left(-1+\sqrt{2 x +3}\right)^{2}}"," ",0,"486/125*(213/2*(2*x+3)^(3/2)-3365/18*(2*x+3)^(1/2))/(6*x+4)^2-12717/125*arctanh(1/5*15^(1/2)*(2*x+3)^(1/2))*15^(1/2)+32/((2*x+3)^(1/2)+1)-3/((2*x+3)^(1/2)+1)^2+201*ln((2*x+3)^(1/2)+1)-416/125/(2*x+3)^(1/2)+32/(-1+(2*x+3)^(1/2))+3/(-1+(2*x+3)^(1/2))^2-201*ln(-1+(2*x+3)^(1/2))","A"
2573,1,142,99,0.023000," ","int((5-x)/(2*x+3)^(5/2)/(3*x^2+5*x+2)^3,x)","-\frac{45603 \sqrt{15}\, \arctanh \left(\frac{\sqrt{15}\, \sqrt{2 x +3}}{5}\right)}{625}-155 \ln \left(-1+\sqrt{2 x +3}\right)+155 \ln \left(\sqrt{2 x +3}+1\right)+\frac{\frac{171801 \left(2 x +3\right)^{\frac{3}{2}}}{625}-\frac{60021 \sqrt{2 x +3}}{125}}{\left(6 x +4\right)^{2}}-\frac{3}{\left(\sqrt{2 x +3}+1\right)^{2}}+\frac{20}{\sqrt{2 x +3}+1}-\frac{416}{375 \left(2 x +3\right)^{\frac{3}{2}}}-\frac{9824}{625 \sqrt{2 x +3}}+\frac{3}{\left(-1+\sqrt{2 x +3}\right)^{2}}+\frac{20}{-1+\sqrt{2 x +3}}"," ",0,"4374/625*(707/18*(2*x+3)^(3/2)-1235/18*(2*x+3)^(1/2))/(6*x+4)^2-45603/625*arctanh(1/5*15^(1/2)*(2*x+3)^(1/2))*15^(1/2)-3/((2*x+3)^(1/2)+1)^2+20/((2*x+3)^(1/2)+1)+155*ln((2*x+3)^(1/2)+1)-416/375/(2*x+3)^(3/2)-9824/625/(2*x+3)^(1/2)+3/(-1+(2*x+3)^(1/2))^2+20/(-1+(2*x+3)^(1/2))-155*ln(-1+(2*x+3)^(1/2))","A"
2574,1,151,108,0.027000," ","int((5-x)/(2*x+3)^(7/2)/(3*x^2+5*x+2)^3,x)","-\frac{806841 \sqrt{15}\, \arctanh \left(\frac{\sqrt{15}\, \sqrt{2 x +3}}{5}\right)}{15625}-133 \ln \left(-1+\sqrt{2 x +3}\right)+133 \ln \left(\sqrt{2 x +3}+1\right)+\frac{\frac{22599 \left(2 x +3\right)^{\frac{3}{2}}}{125}-\frac{196587 \sqrt{2 x +3}}{625}}{\left(6 x +4\right)^{2}}-\frac{3}{\left(\sqrt{2 x +3}+1\right)^{2}}+\frac{8}{\sqrt{2 x +3}+1}-\frac{416}{625 \left(2 x +3\right)^{\frac{5}{2}}}-\frac{9824}{1875 \left(2 x +3\right)^{\frac{3}{2}}}-\frac{137184}{3125 \sqrt{2 x +3}}+\frac{3}{\left(-1+\sqrt{2 x +3}\right)^{2}}+\frac{8}{-1+\sqrt{2 x +3}}"," ",0,"13122/3125*(775/18*(2*x+3)^(3/2)-4045/54*(2*x+3)^(1/2))/(6*x+4)^2-806841/15625*arctanh(1/5*15^(1/2)*(2*x+3)^(1/2))*15^(1/2)-3/((2*x+3)^(1/2)+1)^2+8/((2*x+3)^(1/2)+1)+133*ln((2*x+3)^(1/2)+1)-416/625/(2*x+3)^(5/2)-9824/1875/(2*x+3)^(3/2)-137184/3125/(2*x+3)^(1/2)+3/(-1+(2*x+3)^(1/2))^2+8/(-1+(2*x+3)^(1/2))-133*ln(-1+(2*x+3)^(1/2))","A"
2575,1,111,75,0.334000," ","int((5+10*x+35^(1/2))/(5*x^2+3*x+2)/(1+2*x)^(1/2),x)","\frac{20 \arctan \left(\frac{10 \sqrt{2 x +1}-\sqrt{5}\, \sqrt{2 \sqrt{5}\, \sqrt{7}+4}}{\sqrt{10 \sqrt{5}\, \sqrt{7}-20}}\right)}{\sqrt{10 \sqrt{5}\, \sqrt{7}-20}}+\frac{20 \arctan \left(\frac{10 \sqrt{2 x +1}+\sqrt{5}\, \sqrt{2 \sqrt{5}\, \sqrt{7}+4}}{\sqrt{10 \sqrt{5}\, \sqrt{7}-20}}\right)}{\sqrt{10 \sqrt{5}\, \sqrt{7}-20}}"," ",0,"20/(10*5^(1/2)*7^(1/2)-20)^(1/2)*arctan((10*(1+2*x)^(1/2)-5^(1/2)*(2*5^(1/2)*7^(1/2)+4)^(1/2))/(10*5^(1/2)*7^(1/2)-20)^(1/2))+20/(10*5^(1/2)*7^(1/2)-20)^(1/2)*arctan((10*(1+2*x)^(1/2)+5^(1/2)*(2*5^(1/2)*7^(1/2)+4)^(1/2))/(10*5^(1/2)*7^(1/2)-20)^(1/2))","A"
2576,1,156,180,0.115000," ","int((5-x)*(2*x+3)^(5/2)*(3*x^2+5*x+2)^(1/2),x)","-\frac{\sqrt{2 x +3}\, \sqrt{3 x^{2}+5 x +2}\, \left(14696640 x^{7}+15785280 x^{6}-366975360 x^{5}-1611260640 x^{4}-2948299380 x^{3}-2765726880 x^{2}-1306680900 x -227969 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+59824 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)-246056760\right)}{3367980 \left(6 x^{3}+19 x^{2}+19 x +6\right)}"," ",0,"-1/3367980*(2*x+3)^(1/2)*(3*x^2+5*x+2)^(1/2)*(14696640*x^7+15785280*x^6-366975360*x^5+59824*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-20-30*x)^(1/2)*EllipticF(1/5*(45+30*x)^(1/2),1/3*15^(1/2))-227969*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-20-30*x)^(1/2)*EllipticE(1/5*(45+30*x)^(1/2),1/3*15^(1/2))-1611260640*x^4-2948299380*x^3-2765726880*x^2-1306680900*x-246056760)/(6*x^3+19*x^2+19*x+6)","A"
2577,1,151,159,0.012000," ","int((5-x)*(2*x+3)^(3/2)*(3*x^2+5*x+2)^(1/2),x)","-\frac{\sqrt{2 x +3}\, \sqrt{3 x^{2}+5 x +2}\, \left(1360800 x^{6}-1198800 x^{5}-35997480 x^{4}-103719060 x^{3}-126150780 x^{2}-71102640 x -33103 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+4238 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)-15233040\right)}{510300 \left(6 x^{3}+19 x^{2}+19 x +6\right)}"," ",0,"-1/510300*(2*x+3)^(1/2)*(3*x^2+5*x+2)^(1/2)*(1360800*x^6-1198800*x^5+4238*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-33103*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-35997480*x^4-103719060*x^3-126150780*x^2-71102640*x-15233040)/(6*x^3+19*x^2+19*x+6)","A"
2578,1,146,138,0.010000," ","int((5-x)*(2*x+3)^(1/2)*(3*x^2+5*x+2)^(1/2),x)","\frac{\sqrt{2 x +3}\, \sqrt{3 x^{2}+5 x +2}\, \left(-97200 x^{5}+311040 x^{4}+2424780 x^{3}+4310040 x^{2}+3066420 x +4879 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+316 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+772920\right)}{340200 x^{3}+1077300 x^{2}+1077300 x +340200}"," ",0,"1/56700*(2*x+3)^(1/2)*(3*x^2+5*x+2)^(1/2)*(-97200*x^5+316*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+4879*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+311040*x^4+2424780*x^3+4310040*x^2+3066420*x+772920)/(6*x^3+19*x^2+19*x+6)","A"
2579,1,141,117,0.023000," ","int((5-x)*(3*x^2+5*x+2)^(1/2)/(2*x+3)^(1/2),x)","\frac{\sqrt{3 x^{2}+5 x +2}\, \sqrt{2 x +3}\, \left(-3240 x^{4}+21420 x^{3}+90060 x^{2}+97080 x +761 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+194 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+31680\right)}{16200 x^{3}+51300 x^{2}+51300 x +16200}"," ",0,"1/2700*(3*x^2+5*x+2)^(1/2)*(2*x+3)^(1/2)*(194*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+761*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-3240*x^4+21420*x^3+90060*x^2+97080*x+31680)/(6*x^3+19*x^2+19*x+6)","A"
2580,1,136,115,0.040000," ","int((5-x)*(3*x^2+5*x+2)^(1/2)/(2*x+3)^(3/2),x)","-\frac{\sqrt{3 x^{2}+5 x +2}\, \sqrt{2 x +3}\, \left(180 x^{3}+4080 x^{2}+6420 x +121 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+40 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+2520\right)}{180 \left(6 x^{3}+19 x^{2}+19 x +6\right)}"," ",0,"-1/180*(3*x^2+5*x+2)^(1/2)*(2*x+3)^(1/2)*(40*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+121*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+180*x^3+4080*x^2+6420*x+2520)/(6*x^3+19*x^2+19*x+6)","A"
2581,1,203,117,0.036000," ","int((5-x)*(3*x^2+5*x+2)^(1/2)/(2*x+3)^(5/2),x)","\frac{7140 x^{3}+20660 x^{2}+134 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+36 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+19360 x +201 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+54 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+5840}{300 \sqrt{3 x^{2}+5 x +2}\, \left(2 x +3\right)^{\frac{3}{2}}}"," ",0,"1/300*(36*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+134*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+54*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+201*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+7140*x^3+20660*x^2+19360*x+5840)/(3*x^2+5*x+2)^(1/2)/(2*x+3)^(3/2)","A"
2582,1,296,138,0.039000," ","int((5-x)*(3*x^2+5*x+2)^(1/2)/(2*x+3)^(7/2),x)","-\frac{-11760 x^{4}-67780 x^{3}-196 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+16 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)-124200 x^{2}-588 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+48 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)-92220 x -441 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+36 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)-24040}{2500 \sqrt{3 x^{2}+5 x +2}\, \left(2 x +3\right)^{\frac{5}{2}}}"," ",0,"-1/2500*(16*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)-196*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+48*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)-588*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+36*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-441*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-11760*x^4-67780*x^3-124200*x^2-92220*x-24040)/(3*x^2+5*x+2)^(1/2)/(2*x+3)^(5/2)","B"
2583,1,389,159,0.038000," ","int((5-x)*(3*x^2+5*x+2)^(1/2)/(2*x+3)^(9/2),x)","-\frac{-534240 x^{5}-3514080 x^{4}-8904 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{3} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+1584 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{3} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)-9202380 x^{3}-40068 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+7128 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)-11570980 x^{2}-60102 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+10692 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)-6925880 x -30051 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+5346 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)-1577440}{87500 \sqrt{3 x^{2}+5 x +2}\, \left(2 x +3\right)^{\frac{7}{2}}}"," ",0,"-1/87500*(1584*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^3*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)-8904*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^3*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+7128*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)-40068*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+10692*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)-60102*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+5346*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-30051*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-534240*x^5-3514080*x^4-9202380*x^3-11570980*x^2-6925880*x-1577440)/(3*x^2+5*x+2)^(1/2)/(2*x+3)^(7/2)","B"
2584,1,166,206,0.032000," ","int((5-x)*(2*x+3)^(5/2)*(3*x^2+5*x+2)^(3/2),x)","\frac{\sqrt{2 x +3}\, \sqrt{3 x^{2}+5 x +2}\, \left(-12609717120 x^{9}-38152477440 x^{8}+235538150400 x^{7}+1646223445440 x^{6}+4353221922120 x^{5}+6397751701440 x^{4}+5665520534580 x^{3}+3009604954020 x^{2}+884278124520 x +1454957 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+3620978 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+110521391040\right)}{7881073200 x^{3}+24956731800 x^{2}+24956731800 x +7881073200}"," ",0,"1/1313512200*(2*x+3)^(1/2)*(3*x^2+5*x+2)^(1/2)*(-12609717120*x^9-38152477440*x^8+235538150400*x^7+1646223445440*x^6+4353221922120*x^5+3620978*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+1454957*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+6397751701440*x^4+5665520534580*x^3+3009604954020*x^2+884278124520*x+110521391040)/(6*x^3+19*x^2+19*x+6)","A"
2585,1,161,185,0.012000," ","int((5-x)*(2*x+3)^(3/2)*(3*x^2+5*x+2)^(3/2),x)","\frac{\sqrt{2 x +3}\, \sqrt{3 x^{2}+5 x +2}\, \left(-808315200 x^{8}-1041012000 x^{7}+17904726000 x^{6}+81584350200 x^{5}+158897174040 x^{4}+169400599380 x^{3}+102890248440 x^{2}+33476751420 x +1068599 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+593696 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+4536855720\right)}{875674800 x^{3}+2772970200 x^{2}+2772970200 x +875674800}"," ",0,"1/145945800*(2*x+3)^(1/2)*(3*x^2+5*x+2)^(1/2)*(-808315200*x^8-1041012000*x^7+17904726000*x^6+81584350200*x^5+593696*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+1068599*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+158897174040*x^4+169400599380*x^3+102890248440*x^2+33476751420*x+4536855720)/(6*x^3+19*x^2+19*x+6)","A"
2586,1,156,164,0.013000," ","int((5-x)*(3*x^2+5*x+2)^(3/2)*(2*x+3)^(1/2),x)","\frac{\sqrt{3 x^{2}+5 x +2}\, \sqrt{2 x +3}\, \left(-1749600 x^{7}+972000 x^{6}+40030200 x^{5}+120059280 x^{4}+162249660 x^{3}+115734180 x^{2}+42720240 x +15283 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+5482 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+6485040\right)}{3207600 x^{3}+10157400 x^{2}+10157400 x +3207600}"," ",0,"1/534600*(3*x^2+5*x+2)^(1/2)*(2*x+3)^(1/2)*(-1749600*x^7+972000*x^6+40030200*x^5+5482*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+15283*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+120059280*x^4+162249660*x^3+115734180*x^2+42720240*x+6485040)/(6*x^3+19*x^2+19*x+6)","A"
2587,1,151,143,0.013000," ","int((5-x)*(3*x^2+5*x+2)^(3/2)/(2*x+3)^(1/2),x)","\frac{\sqrt{3 x^{2}+5 x +2}\, \sqrt{2 x +3}\, \left(-680400 x^{6}+1765800 x^{5}+13755960 x^{4}+26135820 x^{3}+25539360 x^{2}+14044380 x +77861 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+24644 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+3331080\right)}{2041200 x^{3}+6463800 x^{2}+6463800 x +2041200}"," ",0,"1/340200*(3*x^2+5*x+2)^(1/2)*(2*x+3)^(1/2)*(-680400*x^6+1765800*x^5+24644*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+77861*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+13755960*x^4+26135820*x^3+25539360*x^2+14044380*x+3331080)/(6*x^3+19*x^2+19*x+6)","A"
2588,1,146,141,0.020000," ","int((5-x)*(3*x^2+5*x+2)^(3/2)/(2*x+3)^(3/2),x)","-\frac{\sqrt{3 x^{2}+5 x +2}\, \sqrt{2 x +3}\, \left(16200 x^{5}-82080 x^{4}-188460 x^{3}+479220 x^{2}+956760 x +16877 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+5258 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+387360\right)}{12600 \left(6 x^{3}+19 x^{2}+19 x +6\right)}"," ",0,"-1/12600*(3*x^2+5*x+2)^(1/2)*(2*x+3)^(1/2)*(5258*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+16877*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+16200*x^5-82080*x^4-188460*x^3+479220*x^2+956760*x+387360)/(6*x^3+19*x^2+19*x+6)","A"
2589,1,213,143,0.022000," ","int((5-x)*(3*x^2+5*x+2)^(3/2)/(2*x+3)^(5/2),x)","\frac{-1080 x^{5}+7920 x^{4}+116580 x^{3}+296240 x^{2}+2202 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+688 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+269500 x +3303 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+1032 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+80840}{600 \sqrt{3 x^{2}+5 x +2}\, \left(2 x +3\right)^{\frac{3}{2}}}"," ",0,"1/600*(2202*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+688*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+3303*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+1032*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-1080*x^5+7920*x^4+116580*x^3+296240*x^2+269500*x+80840)/(3*x^2+5*x+2)^(1/2)/(2*x+3)^(3/2)","A"
2590,1,301,143,0.022000," ","int((5-x)*(3*x^2+5*x+2)^(3/2)/(2*x+3)^(7/2),x)","-\frac{9000 x^{5}+498960 x^{4}+2106380 x^{3}+11116 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+3464 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+3375700 x^{2}+33348 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+10392 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+2357120 x +25011 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+7794 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+597840}{3000 \sqrt{3 x^{2}+5 x +2}\, \left(2 x +3\right)^{\frac{5}{2}}}"," ",0,"-1/3000*(3464*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+11116*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+10392*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+33348*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+7794*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+25011*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+9000*x^5+498960*x^4+2106380*x^3+3375700*x^2+2357120*x+597840)/(3*x^2+5*x+2)^(1/2)/(2*x+3)^(5/2)","B"
2591,1,389,143,0.022000," ","int((5-x)*(3*x^2+5*x+2)^(3/2)/(2*x+3)^(9/2),x)","\frac{2107560 x^{5}+11701520 x^{4}+40376 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{3} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+12704 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{3} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+26044220 x^{3}+181692 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+57168 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+28830120 x^{2}+272538 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+85752 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+15748220 x +136269 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+42876 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+3368360}{35000 \sqrt{3 x^{2}+5 x +2}\, \left(2 x +3\right)^{\frac{7}{2}}}"," ",0,"1/35000*(12704*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^3*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+40376*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^3*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+57168*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+181692*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+85752*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+272538*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+42876*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+136269*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+2107560*x^5+11701520*x^4+26044220*x^3+28830120*x^2+15748220*x+3368360)/(3*x^2+5*x+2)^(1/2)/(2*x+3)^(7/2)","B"
2592,1,482,164,0.041000," ","int((5-x)*(3*x^2+5*x+2)^(3/2)/(2*x+3)^(11/2),x)","\frac{-22080 x^{6}+1872520 x^{5}-368 \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \sqrt{2 x +3}\, x^{4} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+928 \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \sqrt{2 x +3}\, x^{4} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+7688000 x^{4}-2208 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{3} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+5568 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{3} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+12088900 x^{3}-4968 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+12528 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+9181300 x^{2}-4968 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+12528 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+3351080 x -1863 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+4698 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+465280}{225000 \sqrt{3 x^{2}+5 x +2}\, \left(2 x +3\right)^{\frac{9}{2}}}"," ",0,"1/225000*(928*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^4*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*(2*x+3)^(1/2)-368*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^4*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*(2*x+3)^(1/2)+5568*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^3*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)-2208*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^3*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+12528*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)-4968*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+12528*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)-4968*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)-22080*x^6+4698*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-1863*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+1872520*x^5+7688000*x^4+12088900*x^3+9181300*x^2+3351080*x+465280)/(3*x^2+5*x+2)^(1/2)/(2*x+3)^(9/2)","B"
2593,1,575,185,0.043000," ","int((5-x)*(3*x^2+5*x+2)^(3/2)/(2*x+3)^(13/2),x)","\frac{78771840 x^{7}+793148800 x^{6}+1312864 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{5} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+1056256 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{5} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+3666537560 x^{5}+9846480 \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \sqrt{2 x +3}\, x^{4} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+7921920 \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \sqrt{2 x +3}\, x^{4} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+8534486800 x^{4}+29539440 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{3} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+23765760 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{3} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+10760674300 x^{3}+44309160 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+35648640 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+7488702560 x^{2}+33231870 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+26736480 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+2707141300 x +9969561 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+8020944 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+396786840}{86625000 \sqrt{3 x^{2}+5 x +2}\, \left(2 x +3\right)^{\frac{11}{2}}}"," ",0,"1/86625000*(1056256*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^5*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+1312864*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^5*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+7921920*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^4*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*(2*x+3)^(1/2)+9846480*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^4*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*(2*x+3)^(1/2)+23765760*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^3*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+29539440*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^3*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+35648640*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+44309160*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+78771840*x^7+26736480*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+33231870*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+793148800*x^6+8020944*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+9969561*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+3666537560*x^5+8534486800*x^4+10760674300*x^3+7488702560*x^2+2707141300*x+396786840)/(3*x^2+5*x+2)^(1/2)/(2*x+3)^(11/2)","B"
2594,1,176,232,0.030000," ","int((5-x)*(2*x+3)^(5/2)*(3*x^2+5*x+2)^(5/2),x)","\frac{\sqrt{2 x +3}\, \sqrt{3 x^{2}+5 x +2}\, \left(-257238229248 x^{11}-1245840051456 x^{10}+2779181653248 x^{9}+37783907263872 x^{8}+137179881378288 x^{7}+278739348712272 x^{6}+362323040605128 x^{5}+313842032547912 x^{4}+181020211978428 x^{3}+66942476141352 x^{2}+14383849629156 x +23104865 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+5324960 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+1367002401048\right)}{67882310496 x^{3}+214960649904 x^{2}+214960649904 x +67882310496}"," ",0,"1/11313718416*(2*x+3)^(1/2)*(3*x^2+5*x+2)^(1/2)*(-257238229248*x^11-1245840051456*x^10+2779181653248*x^9+37783907263872*x^8+137179881378288*x^7+278739348712272*x^6+362323040605128*x^5+5324960*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+23104865*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+313842032547912*x^4+181020211978428*x^3+66942476141352*x^2+14383849629156*x+1367002401048)/(6*x^3+19*x^2+19*x+6)","A"
2595,1,171,211,0.013000," ","int((5-x)*(2*x+3)^(3/2)*(3*x^2+5*x+2)^(5/2),x)","\frac{\sqrt{2 x +3}\, \sqrt{3 x^{2}+5 x +2}\, \left(-567437270400 x^{10}-1809494406720 x^{9}+9493096203360 x^{8}+70888845006000 x^{7}+197833903878240 x^{6}+315274521768120 x^{5}+316540685015280 x^{4}+204508792642860 x^{3}+82776362463060 x^{2}+19151746938240 x +240489851 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+69536354 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+1937801658960\right)}{267956488800 x^{3}+848528881200 x^{2}+848528881200 x +267956488800}"," ",0,"1/44659414800*(2*x+3)^(1/2)*(3*x^2+5*x+2)^(1/2)*(-567437270400*x^10-1809494406720*x^9+9493096203360*x^8+70888845006000*x^7+197833903878240*x^6+315274521768120*x^5+69536354*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+240489851*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+316540685015280*x^4+204508792642860*x^3+82776362463060*x^2+19151746938240*x+1937801658960)/(6*x^3+19*x^2+19*x+6)","A"
2596,1,166,190,0.012000," ","int((5-x)*(3*x^2+5*x+2)^(5/2)*(2*x+3)^(1/2),x)","\frac{\sqrt{3 x^{2}+5 x +2}\, \sqrt{2 x +3}\, \left(-6304858560 x^{9}-9376456320 x^{8}+126678913200 x^{7}+610245180720 x^{6}+1279560593160 x^{5}+1537931138040 x^{4}+1132159253580 x^{3}+507085229280 x^{2}+127887736620 x +19196233 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+5910532 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+14096546280\right)}{5254048800 x^{3}+16637821200 x^{2}+16637821200 x +5254048800}"," ",0,"1/875674800*(3*x^2+5*x+2)^(1/2)*(2*x+3)^(1/2)*(-6304858560*x^9-9376456320*x^8+126678913200*x^7+610245180720*x^6+1279560593160*x^5+5910532*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+19196233*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+1537931138040*x^4+1132159253580*x^3+507085229280*x^2+127887736620*x+14096546280)/(6*x^3+19*x^2+19*x+6)","A"
2597,1,161,169,0.012000," ","int((5-x)*(3*x^2+5*x+2)^(5/2)/(2*x+3)^(1/2),x)","\frac{\sqrt{3 x^{2}+5 x +2}\, \sqrt{2 x +3}\, \left(-80831520 x^{8}+23269680 x^{7}+1671062400 x^{6}+5370491160 x^{5}+8132952960 x^{4}+6996995820 x^{3}+3689640780 x^{2}+1241814840 x +4561319 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+1422326 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+219746880\right)}{116756640 x^{3}+369729360 x^{2}+369729360 x +116756640}"," ",0,"1/19459440*(3*x^2+5*x+2)^(1/2)*(2*x+3)^(1/2)*(-80831520*x^8+23269680*x^7+1671062400*x^6+5370491160*x^5+1422326*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+4561319*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+8132952960*x^4+6996995820*x^3+3689640780*x^2+1241814840*x+219746880)/(6*x^3+19*x^2+19*x+6)","A"
2598,1,156,167,0.019000," ","int((5-x)*(3*x^2+5*x+2)^(5/2)/(2*x+3)^(3/2),x)","-\frac{\sqrt{3 x^{2}+5 x +2}\, \sqrt{2 x +3}\, \left(3674160 x^{7}-8028720 x^{6}-66118680 x^{5}-143260920 x^{4}-138715380 x^{3}+52868760 x^{2}+175956900 x +3159317 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+986168 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+73217880\right)}{1496880 \left(6 x^{3}+19 x^{2}+19 x +6\right)}"," ",0,"-1/1496880*(3*x^2+5*x+2)^(1/2)*(2*x+3)^(1/2)*(3674160*x^7-8028720*x^6+986168*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+3159317*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-66118680*x^5-143260920*x^4-138715380*x^3+52868760*x^2+175956900*x+73217880)/(6*x^3+19*x^2+19*x+6)","A"
2599,1,223,167,0.021000," ","int((5-x)*(3*x^2+5*x+2)^(5/2)/(2*x+3)^(5/2),x)","\frac{-27216 x^{7}+76464 x^{6}+469368 x^{5}+1123128 x^{4}+5359092 x^{3}+12518772 x^{2}+93338 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+29132 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+11318256 x +140007 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+43698 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+3401136}{9072 \sqrt{3 x^{2}+5 x +2}\, \left(2 x +3\right)^{\frac{3}{2}}}"," ",0,"1/9072*(-27216*x^7+29132*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+93338*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+76464*x^6+43698*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+140007*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+469368*x^5+1123128*x^4+5359092*x^3+12518772*x^2+11318256*x+3401136)/(3*x^2+5*x+2)^(1/2)/(2*x+3)^(3/2)","A"
2600,1,311,169,0.022000," ","int((5-x)*(3*x^2+5*x+2)^(5/2)/(2*x+3)^(7/2),x)","-\frac{32400 x^{7}-127440 x^{6}-412200 x^{5}+8398440 x^{4}+37695260 x^{3}+195972 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+61168 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+60462880 x^{2}+587916 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+183504 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+42044540 x +440937 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+137628 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+10626120}{8400 \sqrt{3 x^{2}+5 x +2}\, \left(2 x +3\right)^{\frac{5}{2}}}"," ",0,"-1/8400*(61168*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+195972*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+32400*x^7+183504*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+587916*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)-127440*x^6+137628*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+440937*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-412200*x^5+8398440*x^4+37695260*x^3+60462880*x^2+42044540*x+10626120)/(3*x^2+5*x+2)^(1/2)/(2*x+3)^(5/2)","A"
2601,1,399,169,0.023000," ","int((5-x)*(3*x^2+5*x+2)^(5/2)/(2*x+3)^(9/2),x)","\frac{-45360 x^{7}+297360 x^{6}+12164040 x^{5}+63364040 x^{4}+229096 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{3} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+71504 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{3} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+140670340 x^{3}+1030932 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+321768 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+157107500 x^{2}+1546398 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+482652 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+86673480 x +773199 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+241326 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+18693600}{8400 \sqrt{3 x^{2}+5 x +2}\, \left(2 x +3\right)^{\frac{7}{2}}}"," ",0,"1/8400*(71504*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^3*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+229096*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^3*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+321768*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+1030932*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)-45360*x^7+482652*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+1546398*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+297360*x^6+241326*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+773199*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+12164040*x^5+63364040*x^4+140670340*x^3+157107500*x^2+86673480*x+18693600)/(3*x^2+5*x+2)^(1/2)/(2*x+3)^(7/2)","B"
2602,1,487,169,0.027000," ","int((5-x)*(3*x^2+5*x+2)^(5/2)/(2*x+3)^(11/2),x)","-\frac{1134000 x^{7}+96635280 x^{6}+669276680 x^{5}+1982288 \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \sqrt{2 x +3}\, x^{4} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+618752 \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \sqrt{2 x +3}\, x^{4} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+1985413000 x^{4}+11893728 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{3} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+3712512 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{3} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+3139417100 x^{3}+26760888 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+8353152 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+2766408200 x^{2}+26760888 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+8353152 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+1280547220 x +10035333 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+3132432 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+241918520}{126000 \sqrt{3 x^{2}+5 x +2}\, \left(2 x +3\right)^{\frac{9}{2}}}"," ",0,"-1/126000*(618752*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^4*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*(2*x+3)^(1/2)+1982288*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^4*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*(2*x+3)^(1/2)+3712512*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^3*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+11893728*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^3*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+8353152*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+26760888*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+1134000*x^7+8353152*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+26760888*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+96635280*x^6+3132432*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+10035333*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+669276680*x^5+1985413000*x^4+3139417100*x^3+2766408200*x^2+1280547220*x+241918520)/(3*x^2+5*x+2)^(1/2)/(2*x+3)^(9/2)","B"
2603,1,575,169,0.026000," ","int((5-x)*(3*x^2+5*x+2)^(5/2)/(2*x+3)^(13/2),x)","\frac{1262488080 x^{7}+10559075600 x^{6}+24159968 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{5} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+7537472 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{5} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+38212579720 x^{5}+181199760 \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \sqrt{2 x +3}\, x^{4} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+56531040 \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \sqrt{2 x +3}\, x^{4} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+77118326600 x^{4}+543599280 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{3} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+169593120 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{3} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+93248719100 x^{3}+815398920 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+254389680 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+67234902220 x^{2}+611549190 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+190792260 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+26644025600 x +183464757 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+57237678 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+4455508080}{6930000 \sqrt{3 x^{2}+5 x +2}\, \left(2 x +3\right)^{\frac{11}{2}}}"," ",0,"1/6930000*(7537472*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^5*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+24159968*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^5*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+56531040*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^4*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*(2*x+3)^(1/2)+181199760*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^4*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*(2*x+3)^(1/2)+169593120*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^3*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+543599280*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^3*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+254389680*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+815398920*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+1262488080*x^7+190792260*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+611549190*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+10559075600*x^6+57237678*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+183464757*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+38212579720*x^5+77118326600*x^4+93248719100*x^3+67234902220*x^2+26644025600*x+4455508080)/(3*x^2+5*x+2)^(1/2)/(2*x+3)^(11/2)","B"
2604,1,668,190,0.044000," ","int((5-x)*(3*x^2+5*x+2)^(5/2)/(2*x+3)^(15/2),x)","-\frac{136631040 x^{8}+612289360 x^{7}+2277184 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{6} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+737536 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{6} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+1509264560 x^{6}+20494656 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{5} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+6637824 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{5} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+3570658840 x^{5}+76854960 \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \sqrt{2 x +3}\, x^{4} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+24891840 \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \sqrt{2 x +3}\, x^{4} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+7142077000 x^{4}+153709920 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{3} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+49783680 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{3} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+9258134060 x^{3}+172923660 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+56006640 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+7018645840 x^{2}+103754196 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+33603984 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+2840167740 x +25938549 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+8400996 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+474631560}{34650000 \sqrt{3 x^{2}+5 x +2}\, \left(2 x +3\right)^{\frac{13}{2}}}"," ",0,"-1/34650000*(737536*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^6*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+2277184*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^6*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+6637824*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^5*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+20494656*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^5*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+24891840*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^4*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*(2*x+3)^(1/2)+76854960*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^4*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*(2*x+3)^(1/2)+49783680*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^3*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+153709920*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^3*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+136631040*x^8+56006640*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+172923660*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+612289360*x^7+33603984*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+103754196*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+1509264560*x^6+8400996*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+25938549*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+3570658840*x^5+7142077000*x^4+9258134060*x^3+7018645840*x^2+2840167740*x+474631560)/(3*x^2+5*x+2)^(1/2)/(2*x+3)^(13/2)","B"
2605,1,761,211,0.047000," ","int((5-x)*(3*x^2+5*x+2)^(5/2)/(2*x+3)^(17/2),x)","\frac{18048468480 x^{9}+231010839040 x^{8}+300807808 \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \sqrt{2 x +3}\, x^{7} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+79896832 \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \sqrt{2 x +3}\, x^{7} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+1411492773200 x^{7}+3158481984 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{6} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+838916736 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{6} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+4718056950160 x^{6}+14213168928 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{5} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+3775125312 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{5} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+9446154382120 x^{5}+35532922320 \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \sqrt{2 x +3}\, x^{4} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+9437813280 \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \sqrt{2 x +3}\, x^{4} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+11945916263720 x^{4}+53299383480 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{3} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+14156719920 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{3} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+9700759282660 x^{3}+47969445132 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+12741047928 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+4940050525500 x^{2}+23984722566 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+6370523964 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+1444240406040 x +5139583407 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+1365112278 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+185660734080}{11261250000 \sqrt{3 x^{2}+5 x +2}\, \left(2 x +3\right)^{\frac{15}{2}}}"," ",0,"1/11261250000*(185660734080+1444240406040*x+14213168928*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^5*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+53299383480*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^3*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+47969445132*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+3775125312*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^5*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+12741047928*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+3158481984*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^6*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+838916736*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^6*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+35532922320*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^4*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*(2*x+3)^(1/2)+23984722566*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+9437813280*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^4*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*(2*x+3)^(1/2)+14156719920*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^3*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+6370523964*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+4940050525500*x^2+9446154382120*x^5+4718056950160*x^6+1411492773200*x^7+11945916263720*x^4+9700759282660*x^3+231010839040*x^8+18048468480*x^9+1365112278*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+5139583407*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+79896832*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^7*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*(2*x+3)^(1/2)+300807808*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^7*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*(2*x+3)^(1/2))/(3*x^2+5*x+2)^(1/2)/(2*x+3)^(15/2)","B"
2606,1,146,154,0.032000," ","int((5-x)*(2*x+3)^(5/2)/(3*x^2+5*x+2)^(1/2),x)","\frac{\sqrt{2 x +3}\, \sqrt{3 x^{2}+5 x +2}\, \left(-2592 x^{5}+3456 x^{4}+88416 x^{3}+223356 x^{2}+200676 x -1211 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+706 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+59688\right)}{6804 x^{3}+21546 x^{2}+21546 x +6804}"," ",0,"1/1134*(2*x+3)^(1/2)*(3*x^2+5*x+2)^(1/2)*(-2592*x^5+706*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-1211*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+3456*x^4+88416*x^3+223356*x^2+200676*x+59688)/(6*x^3+19*x^2+19*x+6)","A"
2607,1,141,133,0.017000," ","int((5-x)*(2*x+3)^(3/2)/(3*x^2+5*x+2)^(1/2),x)","\frac{\sqrt{2 x +3}\, \sqrt{3 x^{2}+5 x +2}\, \left(-6480 x^{4}+28440 x^{3}+134520 x^{2}+148560 x -2743 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+1928 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+48960\right)}{24300 x^{3}+76950 x^{2}+76950 x +24300}"," ",0,"1/4050*(2*x+3)^(1/2)*(3*x^2+5*x+2)^(1/2)*(1928*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-2743*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-6480*x^4+28440*x^3+134520*x^2+148560*x+48960)/(6*x^3+19*x^2+19*x+6)","A"
2608,1,136,112,0.015000," ","int((5-x)*(2*x+3)^(1/2)/(3*x^2+5*x+2)^(1/2),x)","\frac{\sqrt{2 x +3}\, \sqrt{3 x^{2}+5 x +2}\, \left(-360 x^{3}-1140 x^{2}-1140 x -101 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+106 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)-360\right)}{1620 x^{3}+5130 x^{2}+5130 x +1620}"," ",0,"1/270*(2*x+3)^(1/2)*(3*x^2+5*x+2)^(1/2)*(106*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-101*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-360*x^3-1140*x^2-1140*x-360)/(6*x^3+19*x^2+19*x+6)","A"
2609,1,65,91,0.019000," ","int((5-x)/(2*x+3)^(1/2)/(3*x^2+5*x+2)^(1/2),x)","\frac{\left(\EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+12 \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)\right) \sqrt{-30 x -20}\, \sqrt{-2 x -2}\, \sqrt{15}}{30 \sqrt{3 x^{2}+5 x +2}}"," ",0,"1/30*(12*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2)))*(-30*x-20)^(1/2)*(-2*x-2)^(1/2)*15^(1/2)/(3*x^2+5*x+2)^(1/2)","A"
2610,1,131,112,0.023000," ","int((5-x)/(2*x+3)^(3/2)/(3*x^2+5*x+2)^(1/2),x)","\frac{\sqrt{2 x +3}\, \sqrt{3 x^{2}+5 x +2}\, \left(-2340 x^{2}-3900 x -39 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+34 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)-1560\right)}{900 x^{3}+2850 x^{2}+2850 x +900}"," ",0,"1/150*(2*x+3)^(1/2)*(3*x^2+5*x+2)^(1/2)*(34*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-39*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-2340*x^2-3900*x-1560)/(6*x^3+19*x^2+19*x+6)","A"
2611,1,203,133,0.024000," ","int((5-x)/(2*x+3)^(5/2)/(3*x^2+5*x+2)^(1/2),x)","\frac{-23160 x^{3}-77240 x^{2}-386 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+256 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)-79840 x -579 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+384 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)-25760}{750 \sqrt{3 x^{2}+5 x +2}\, \left(2 x +3\right)^{\frac{3}{2}}}"," ",0,"1/750*(256*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)-386*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+384*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-579*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-23160*x^3-77240*x^2-79840*x-25760)/(3*x^2+5*x+2)^(1/2)/(2*x+3)^(3/2)","A"
2612,1,296,154,0.025000," ","int((5-x)/(2*x+3)^(7/2)/(3*x^2+5*x+2)^(1/2),x)","\frac{-1080240 x^{4}-5275720 x^{3}-18004 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+10184 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)-9353300 x^{2}-54012 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+30552 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)-7051780 x -40509 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+22914 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)-1893960}{18750 \sqrt{3 x^{2}+5 x +2}\, \left(2 x +3\right)^{\frac{5}{2}}}"," ",0,"1/18750*(10184*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)-18004*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+30552*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)-54012*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+22914*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-40509*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-1080240*x^4-5275720*x^3-9353300*x^2-7051780*x-1893960)/(3*x^2+5*x+2)^(1/2)/(2*x+3)^(5/2)","A"
2613,1,141,159,0.054000," ","int((5-x)*(2*x+3)^(7/2)/(3*x^2+5*x+2)^(3/2),x)","\frac{\sqrt{2 x +3}\, \sqrt{3 x^{2}+5 x +2}\, \left(-4320 x^{4}+9360 x^{3}-724020 x^{2}-1841010 x -17087 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+2002 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)-1079010\right)}{12150 x^{3}+38475 x^{2}+38475 x +12150}"," ",0,"1/2025*(2*x+3)^(1/2)*(3*x^2+5*x+2)^(1/2)*(2002*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-17087*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-4320*x^4+9360*x^3-724020*x^2-1841010*x-1079010)/(6*x^3+19*x^2+19*x+6)","A"
2614,1,136,138,0.023000," ","int((5-x)*(2*x+3)^(5/2)/(3*x^2+5*x+2)^(3/2),x)","-\frac{\sqrt{2 x +3}\, \sqrt{3 x^{2}+5 x +2}\, \left(144 x^{3}+21588 x^{2}+51342 x +383 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+32 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+28926\right)}{81 \left(6 x^{3}+19 x^{2}+19 x +6\right)}"," ",0,"-1/81*(2*x+3)^(1/2)*(3*x^2+5*x+2)^(1/2)*(32*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+383*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+144*x^3+21588*x^2+51342*x+28926)/(6*x^3+19*x^2+19*x+6)","A"
2615,1,131,117,0.022000," ","int((5-x)*(2*x+3)^(3/2)/(3*x^2+5*x+2)^(3/2),x)","-\frac{\sqrt{2 x +3}\, \sqrt{3 x^{2}+5 x +2}\, \left(8340 x^{2}+19770 x +137 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+38 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+10890\right)}{45 \left(6 x^{3}+19 x^{2}+19 x +6\right)}"," ",0,"-1/45*(2*x+3)^(1/2)*(3*x^2+5*x+2)^(1/2)*(38*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+137*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+8340*x^2+19770*x+10890)/(6*x^3+19*x^2+19*x+6)","A"
2616,1,131,117,0.023000," ","int((5-x)*(2*x+3)^(1/2)/(3*x^2+5*x+2)^(3/2),x)","-\frac{\sqrt{2 x +3}\, \sqrt{3 x^{2}+5 x +2}\, \left(2100 x^{2}+4890 x +35 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+12 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+2610\right)}{15 \left(6 x^{3}+19 x^{2}+19 x +6\right)}"," ",0,"-1/15*(2*x+3)^(1/2)*(3*x^2+5*x+2)^(1/2)*(12*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+35*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+2100*x^2+4890*x+2610)/(6*x^3+19*x^2+19*x+6)","A"
2617,1,131,117,0.024000," ","int((5-x)/(3*x^2+5*x+2)^(3/2)/(2*x+3)^(1/2),x)","-\frac{\sqrt{3 x^{2}+5 x +2}\, \sqrt{2 x +3}\, \left(8460 x^{2}+19350 x +141 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+34 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+9990\right)}{75 \left(6 x^{3}+19 x^{2}+19 x +6\right)}"," ",0,"-1/75*(3*x^2+5*x+2)^(1/2)*(2*x+3)^(1/2)*(34*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+141*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+8460*x^2+19350*x+9990)/(6*x^3+19*x^2+19*x+6)","A"
2618,1,131,138,0.026000," ","int((5-x)/(2*x+3)^(3/2)/(3*x^2+5*x+2)^(3/2),x)","-\frac{\left(13620 x^{2}+29750 x +227 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+8 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+14630\right) \sqrt{3 x^{2}+5 x +2}\, \sqrt{2 x +3}}{125 \left(6 x^{3}+19 x^{2}+19 x +6\right)}"," ",0,"-1/125*(8*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+227*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+13620*x^2+29750*x+14630)*(3*x^2+5*x+2)^(1/2)*(2*x+3)^(1/2)/(6*x^3+19*x^2+19*x+6)","A"
2619,1,203,159,0.031000," ","int((5-x)/(2*x+3)^(5/2)/(3*x^2+5*x+2)^(3/2),x)","\frac{-446280 x^{3}-1601920 x^{2}-7438 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+1148 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)-1833470 x -11157 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+1722 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)-655330}{1875 \left(2 x +3\right)^{\frac{3}{2}} \sqrt{3 x^{2}+5 x +2}}"," ",0,"1/1875*(1148*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)-7438*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+1722*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-11157*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-446280*x^3-1601920*x^2-1833470*x-655330)/(2*x+3)^(3/2)/(3*x^2+5*x+2)^(1/2)","A"
2620,1,296,180,0.029000," ","int((5-x)/(2*x+3)^(7/2)/(3*x^2+5*x+2)^(3/2),x)","-\frac{25604880 x^{4}+128709640 x^{3}+426748 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)-119408 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+236542100 x^{2}+1280244 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)-358224 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+186801610 x +960183 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)-268668 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+52801770}{46875 \left(2 x +3\right)^{\frac{5}{2}} \sqrt{3 x^{2}+5 x +2}}"," ",0,"-1/46875*(426748*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)-119408*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+1280244*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)-358224*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+960183*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-268668*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+25604880*x^4+128709640*x^3+236542100*x^2+186801610*x+52801770)/(2*x+3)^(5/2)/(3*x^2+5*x+2)^(1/2)","A"
2621,1,325,164,0.055000," ","int((5-x)*(2*x+3)^(9/2)/(3*x^2+5*x+2)^(5/2),x)","\frac{2 \sqrt{2 x +3}\, \sqrt{3 x^{2}+5 x +2}\, \left(-4320 x^{5}+4990500 x^{4}+19844670 x^{3}+82887 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+28698 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+28425390 x^{2}+138145 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+47830 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+17410935 x +55258 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+19132 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+3837825\right)}{1215 \left(x +1\right) \left(2 x^{2}+5 x +3\right) \left(3 x +2\right)^{2}}"," ",0,"2/1215*(2*x+3)^(1/2)*(3*x^2+5*x+2)^(1/2)*(82887*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+28698*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+138145*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+47830*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+55258*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+19132*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))-4320*x^5+4990500*x^4+19844670*x^3+28425390*x^2+17410935*x+3837825)/(x+1)/(2*x^2+5*x+3)/(3*x+2)^2","A"
2622,1,308,143,0.027000," ","int((5-x)*(2*x+3)^(7/2)/(3*x^2+5*x+2)^(5/2),x)","\frac{2 \left(1432980 x^{4}+5710170 x^{3}+23919 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+7476 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+8224260 x^{2}+39865 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+12460 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+5081925 x +15946 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+4984 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+1135665\right) \sqrt{3 x^{2}+5 x +2}}{405 \left(x +1\right)^{2} \left(3 x +2\right)^{2} \sqrt{2 x +3}}"," ",0,"2/405*(23919*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+7476*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+39865*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+12460*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+15946*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+4984*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+1432980*x^4+5710170*x^3+8224260*x^2+5081925*x+1135665)*(3*x^2+5*x+2)^(1/2)/(x+1)^2/(3*x+2)^2/(2*x+3)^(1/2)","B"
2623,1,308,143,0.028000," ","int((5-x)*(2*x+3)^(5/2)/(3*x^2+5*x+2)^(5/2),x)","\frac{2 \left(77580 x^{4}+309522 x^{3}+1293 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+402 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+446694 x^{2}+2155 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+670 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+276951 x +862 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+268 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+62253\right) \sqrt{3 x^{2}+5 x +2}}{27 \left(x +1\right)^{2} \left(3 x +2\right)^{2} \sqrt{2 x +3}}"," ",0,"2/27*(402*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+1293*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+670*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+2155*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+268*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+862*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+77580*x^4+309522*x^3+446694*x^2+276951*x+62253)*(3*x^2+5*x+2)^(1/2)/(x+1)^2/(3*x+2)^2/(2*x+3)^(1/2)","B"
2624,1,308,143,0.028000," ","int((5-x)*(2*x+3)^(3/2)/(3*x^2+5*x+2)^(5/2),x)","\frac{2 \left(101340 x^{4}+404310 x^{3}+1689 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+528 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+583620 x^{2}+2815 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+880 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+362145 x +1126 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+352 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+81585\right) \sqrt{3 x^{2}+5 x +2}}{45 \left(x +1\right)^{2} \left(3 x +2\right)^{2} \sqrt{2 x +3}}"," ",0,"2/45*(1689*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+528*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+2815*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+880*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+1126*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+352*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+101340*x^4+404310*x^3+583620*x^2+362145*x+81585)*(3*x^2+5*x+2)^(1/2)/(x+1)^2/(3*x+2)^2/(2*x+3)^(1/2)","B"
2625,1,308,143,0.026000," ","int((5-x)*(2*x+3)^(1/2)/(3*x^2+5*x+2)^(5/2),x)","\frac{2 \left(128340 x^{4}+511950 x^{3}+2139 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+666 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+738870 x^{2}+3565 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+1110 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+458475 x +1426 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+444 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+103365\right) \sqrt{3 x^{2}+5 x +2}}{75 \left(x +1\right)^{2} \left(3 x +2\right)^{2} \sqrt{2 x +3}}"," ",0,"2/75*(2139*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+666*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+3565*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+1110*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+1426*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+444*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+128340*x^4+511950*x^3+738870*x^2+458475*x+103365)*(3*x^2+5*x+2)^(1/2)/(x+1)^2/(3*x+2)^2/(2*x+3)^(1/2)","B"
2626,1,308,143,0.027000," ","int((5-x)/(3*x^2+5*x+2)^(5/2)/(2*x+3)^(1/2),x)","\frac{2 \left(156420 x^{4}+624450 x^{3}+2607 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+828 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+901860 x^{2}+4345 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+1380 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+559925 x +1738 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+552 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+126345\right) \sqrt{3 x^{2}+5 x +2}}{125 \left(x +1\right)^{2} \left(3 x +2\right)^{2} \sqrt{2 x +3}}"," ",0,"2/125*(828*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+2607*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+1380*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+4345*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+552*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+1738*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+156420*x^4+624450*x^3+901860*x^2+559925*x+126345)*(3*x^2+5*x+2)^(1/2)/(x+1)^2/(3*x+2)^2/(2*x+3)^(1/2)","B"
2627,1,308,164,0.031000," ","int((5-x)/(2*x+3)^(3/2)/(3*x^2+5*x+2)^(5/2),x)","\frac{2 \sqrt{3 x^{2}+5 x +2}\, \left(527940 x^{4}+2121150 x^{3}+8799 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+3246 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+3080770 x^{2}+14665 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+5410 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+1921725 x +5866 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+2164 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+435415\right)}{625 \left(3 x +2\right)^{2} \left(x +1\right)^{2} \sqrt{2 x +3}}"," ",0,"2/625*(3*x^2+5*x+2)^(1/2)*(3246*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+8799*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+5410*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+14665*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+2164*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+5866*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+527940*x^4+2121150*x^3+3080770*x^2+1921725*x+435415)/(3*x+2)^2/(x+1)^2/(2*x+3)^(1/2)","A"
2628,1,401,185,0.031000," ","int((5-x)/(2*x+3)^(5/2)/(3*x^2+5*x+2)^(5/2),x)","\frac{2 \sqrt{3 x^{2}+5 x +2}\, \left(8585640 x^{5}+48435360 x^{4}+143094 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{3} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+88176 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{3} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+106326470 x^{3}+453131 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+279224 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+113239530 x^{2}+453131 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+279224 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+58416015 x +143094 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+88176 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+11671985\right)}{9375 \left(2 x +3\right)^{\frac{3}{2}} \left(3 x +2\right)^{2} \left(x +1\right)^{2}}"," ",0,"2/9375*(3*x^2+5*x+2)^(1/2)*(143094*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^3*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+88176*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^3*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+453131*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+279224*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+453131*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+279224*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+143094*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+88176*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+8585640*x^5+48435360*x^4+106326470*x^3+113239530*x^2+58416015*x+11671985)/(2*x+3)^(3/2)/(3*x+2)^2/(x+1)^2","B"
2629,1,494,206,0.031000," ","int((5-x)/(2*x+3)^(7/2)/(3*x^2+5*x+2)^(5/2),x)","\frac{2 \sqrt{3 x^{2}+5 x +2}\, \left(19358640 x^{6}+180775320 x^{5}+322644 \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \sqrt{2 x +3}\, x^{4} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+1616376 \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \sqrt{2 x +3}\, x^{4} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+646905260 x^{4}+1505672 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{3} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+7543088 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{3} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+1158103110 x^{3}+2554265 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+12796310 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x^{2} \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+1103979810 x^{2}+1855203 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+9294162 \sqrt{15}\, \sqrt{2 x +3}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, x \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+533780945 x +483966 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticE \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+2424564 \sqrt{2 x +3}\, \sqrt{15}\, \sqrt{-2 x -2}\, \sqrt{-30 x -20}\, \EllipticF \left(\frac{\sqrt{30 x +45}}{5}, \frac{\sqrt{15}}{3}\right)+102571915\right)}{78125 \left(2 x +3\right)^{\frac{5}{2}} \left(3 x +2\right)^{2} \left(x +1\right)^{2}}"," ",0,"2/78125*(3*x^2+5*x+2)^(1/2)*(322644*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^4*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*(2*x+3)^(1/2)+1616376*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^4*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*(2*x+3)^(1/2)+1505672*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^3*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+7543088*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^3*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+2554265*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+12796310*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x^2*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+1855203*15^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+9294162*15^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))*x*(2*x+3)^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)+19358640*x^6+483966*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticE(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+2424564*(2*x+3)^(1/2)*15^(1/2)*(-2*x-2)^(1/2)*(-30*x-20)^(1/2)*EllipticF(1/5*(30*x+45)^(1/2),1/3*15^(1/2))+180775320*x^5+646905260*x^4+1158103110*x^3+1103979810*x^2+533780945*x+102571915)/(2*x+3)^(5/2)/(3*x+2)^2/(x+1)^2","B"
2630,1,7523,481,0.152000," ","int((B*x+A)*(e*x+d)^(3/2)/(c*x^2+b*x+a)^(1/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
2631,1,3804,394,0.043000," ","int((B*x+A)*(e*x+d)^(1/2)/(c*x^2+b*x+a)^(1/2),x)","\text{output too large to display}"," ",0,"1/3*(e*x+d)^(1/2)*(c*x^2+b*x+a)^(1/2)/c^2*(6*A*2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2)*((2*c*x+(-4*a*c+b^2)^(1/2)+b)*e/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*EllipticF(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*a*c*e^3-6*A*2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2)*((2*c*x+(-4*a*c+b^2)^(1/2)+b)*e/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*EllipticF(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*b*c*d*e^2+6*A*2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2)*((2*c*x+(-4*a*c+b^2)^(1/2)+b)*e/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*EllipticF(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*c^2*d^2*e-6*A*2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2)*((2*c*x+(-4*a*c+b^2)^(1/2)+b)*e/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*EllipticE(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*a*c*e^3+6*A*2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2)*((2*c*x+(-4*a*c+b^2)^(1/2)+b)*e/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*EllipticE(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*b*c*d*e^2-6*A*2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2)*((2*c*x+(-4*a*c+b^2)^(1/2)+b)*e/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*EllipticE(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*c^2*d^2*e+B*2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2)*((2*c*x+(-4*a*c+b^2)^(1/2)+b)*e/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*EllipticF(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*(-4*a*c+b^2)^(1/2)*a*e^3-B*2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2)*((2*c*x+(-4*a*c+b^2)^(1/2)+b)*e/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*EllipticF(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*(-4*a*c+b^2)^(1/2)*b*d*e^2+B*2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2)*((2*c*x+(-4*a*c+b^2)^(1/2)+b)*e/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*EllipticF(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*(-4*a*c+b^2)^(1/2)*c*d^2*e-3*B*2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2)*((2*c*x+(-4*a*c+b^2)^(1/2)+b)*e/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*EllipticF(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*a*b*e^3+3*B*2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2)*((2*c*x+(-4*a*c+b^2)^(1/2)+b)*e/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*EllipticF(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*b^2*d*e^2-3*B*2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2)*((2*c*x+(-4*a*c+b^2)^(1/2)+b)*e/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*EllipticF(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*b*c*d^2*e+4*B*2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2)*((2*c*x+(-4*a*c+b^2)^(1/2)+b)*e/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*EllipticE(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*a*b*e^3-2*B*2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2)*((2*c*x+(-4*a*c+b^2)^(1/2)+b)*e/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*EllipticE(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*a*c*d*e^2-4*B*2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2)*((2*c*x+(-4*a*c+b^2)^(1/2)+b)*e/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*EllipticE(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*b^2*d*e^2+6*B*2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2)*((2*c*x+(-4*a*c+b^2)^(1/2)+b)*e/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*EllipticE(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*b*c*d^2*e-2*B*2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2)*((2*c*x+(-4*a*c+b^2)^(1/2)+b)*e/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*EllipticE(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*c^2*d^3+2*B*x^3*c^2*e^3+2*B*x^2*b*c*e^3+2*B*x^2*c^2*d*e^2+2*B*x*a*c*e^3+2*B*x*b*c*d*e^2+2*B*a*c*d*e^2)/(c*e*x^3+b*e*x^2+c*d*x^2+a*e*x+b*d*x+a*d)/e^2","B"
2632,1,1014,345,0.050000," ","int((B*x+A)/(e*x+d)^(1/2)/(c*x^2+b*x+a)^(1/2),x)","\frac{\left(-A b \,e^{2} \EllipticF \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)+2 A c d e \EllipticF \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)-2 B a \,e^{2} \EllipticE \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)+2 B a \,e^{2} \EllipticF \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)+2 B b d e \EllipticE \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)-B b d e \EllipticF \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)-2 B c \,d^{2} \EllipticE \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)-\sqrt{-4 a c +b^{2}}\, A \,e^{2} \EllipticF \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)+\sqrt{-4 a c +b^{2}}\, B d e \EllipticF \left(\sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}, \sqrt{-\frac{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\right)\right) \sqrt{\frac{\left(2 c x +b +\sqrt{-4 a c +b^{2}}\right) e}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{\frac{\left(-2 c x -b +\sqrt{-4 a c +b^{2}}\right) e}{-b e +2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{2}\, \sqrt{-\frac{\left(e x +d \right) c}{b e -2 c d +\sqrt{-4 a c +b^{2}}\, e}}\, \sqrt{e x +d}\, \sqrt{c \,x^{2}+b x +a}}{\left(c e \,x^{3}+b e \,x^{2}+c d \,x^{2}+a e x +b d x +a d \right) c \,e^{2}}"," ",0,"(-A*(-4*a*c+b^2)^(1/2)*EllipticF(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*e^2-A*EllipticF(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*b*e^2+2*A*EllipticF(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*c*d*e+B*(-4*a*c+b^2)^(1/2)*EllipticF(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*d*e+2*B*EllipticF(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*a*e^2-B*EllipticF(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*b*d*e-2*B*EllipticE(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*a*e^2+2*B*EllipticE(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*b*d*e-2*B*EllipticE(2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2))*c*d^2)/c*((2*c*x+(-4*a*c+b^2)^(1/2)+b)*e/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-e*b+2*c*d))^(1/2)*2^(1/2)*(-c*(e*x+d)/(e*(-4*a*c+b^2)^(1/2)+e*b-2*c*d))^(1/2)*(e*x+d)^(1/2)*(c*x^2+b*x+a)^(1/2)/e^2/(c*e*x^3+b*e*x^2+c*d*x^2+a*e*x+b*d*x+a*d)","B"
2633,1,3388,408,0.084000," ","int((B*x+A)/(e*x+d)^(3/2)/(c*x^2+b*x+a)^(1/2),x)","\text{output too large to display}"," ",0,"(2*A*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*c*e^3-2*A*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b*c*d*e^2+2*A*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*c^2*d^2*e-2*A*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*c*e^3+2*A*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b*c*d*e^2-2*A*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*c^2*d^2*e-B*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*b*e^3-B*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*a*e^3+B*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b^2*d*e^2-B*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b*c*d^2*e+B*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*b*d*e^2-B*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*(-4*a*c+b^2)^(1/2)*c*d^2*e+2*B*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*c*d*e^2-2*B*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b*c*d^2*e+2*B*2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*c^2*d^3-2*A*x^2*c^2*e^3+2*B*x^2*c^2*d*e^2-2*A*x*b*c*e^3+2*B*x*b*c*d*e^2-2*A*a*c*e^3+2*B*a*c*d*e^2)*(c*x^2+b*x+a)^(1/2)*(e*x+d)^(1/2)/e^2/c/(a*e^2-b*d*e+c*d^2)/(c*e*x^3+b*e*x^2+c*d*x^2+a*e*x+b*d*x+a*d)","B"
2634,1,11733,527,0.121000," ","int((B*x+A)/(e*x+d)^(5/2)/(c*x^2+b*x+a)^(1/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
2635,1,10385,616,0.131000," ","int((B*x+A)*(e*x+d)^(5/2)/(c*x^2+b*x+a)^(3/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
2636,1,5490,478,0.092000," ","int((B*x+A)*(e*x+d)^(3/2)/(c*x^2+b*x+a)^(3/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
2637,1,3171,408,0.089000," ","int((B*x+A)*(e*x+d)^(1/2)/(c*x^2+b*x+a)^(3/2),x)","\text{output too large to display}"," ",0,"(-4*A*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*c*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+A*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b^2*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+A*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b*e^2*(-4*a*c+b^2)^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-2*A*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*c*d*e*(-4*a*c+b^2)^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+4*A*2^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*c*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-4*A*2^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b*c*d*e*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+4*A*2^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*c^2*d^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+4*B*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*c*d*e*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-2*B*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*e^2*(-4*a*c+b^2)^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-B*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b^2*d*e*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+B*2^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b*d*e*(-4*a*c+b^2)^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-2*B*2^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*a*b*e^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+2*B*2^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b^2*d*e*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)-2*B*2^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2),(-(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e))^(1/2))*b*c*d^2*(-(e*x+d)/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*c)^(1/2)*((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b*e+2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)*((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b*e-2*c*d+(-4*a*c+b^2)^(1/2)*e)*e)^(1/2)+4*A*x^2*c^2*e^2-2*B*x^2*b*c*e^2+2*A*x*b*c*e^2+4*A*x*c^2*d*e-4*B*x*a*c*e^2-2*B*x*b*c*d*e+2*A*b*c*d*e-4*B*a*c*d*e)*(e*x+d)^(1/2)*(c*x^2+b*x+a)^(1/2)/c/e/(c*e*x^3+b*e*x^2+c*d*x^2+a*e*x+b*d*x+a*d)/(4*a*c-b^2)","B"
2638,1,5059,476,0.098000," ","int((B*x+A)/(e*x+d)^(1/2)/(c*x^2+b*x+a)^(3/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
2639,1,8357,649,0.179000," ","int((B*x+A)/(e*x+d)^(3/2)/(c*x^2+b*x+a)^(3/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
2640,1,8232,594,0.051000," ","int((B*x+A)*(e*x+d)^m*(c*x^2+b*x+a)^3,x)","\text{output too large to display}"," ",0,"result too large to display","B"
2641,1,2557,333,0.020000," ","int((B*x+A)*(e*x+d)^m*(c*x^2+b*x+a)^2,x)","\frac{\left(B \,c^{2} e^{5} m^{5} x^{5}+A \,c^{2} e^{5} m^{5} x^{4}+2 B b c \,e^{5} m^{5} x^{4}+15 B \,c^{2} e^{5} m^{4} x^{5}+2 A b c \,e^{5} m^{5} x^{3}+16 A \,c^{2} e^{5} m^{4} x^{4}+2 B a c \,e^{5} m^{5} x^{3}+B \,b^{2} e^{5} m^{5} x^{3}+32 B b c \,e^{5} m^{4} x^{4}-5 B \,c^{2} d \,e^{4} m^{4} x^{4}+85 B \,c^{2} e^{5} m^{3} x^{5}+2 A a c \,e^{5} m^{5} x^{2}+A \,b^{2} e^{5} m^{5} x^{2}+34 A b c \,e^{5} m^{4} x^{3}-4 A \,c^{2} d \,e^{4} m^{4} x^{3}+95 A \,c^{2} e^{5} m^{3} x^{4}+2 B a b \,e^{5} m^{5} x^{2}+34 B a c \,e^{5} m^{4} x^{3}+17 B \,b^{2} e^{5} m^{4} x^{3}-8 B b c d \,e^{4} m^{4} x^{3}+190 B b c \,e^{5} m^{3} x^{4}-50 B \,c^{2} d \,e^{4} m^{3} x^{4}+225 B \,c^{2} e^{5} m^{2} x^{5}+2 A a b \,e^{5} m^{5} x +36 A a c \,e^{5} m^{4} x^{2}+18 A \,b^{2} e^{5} m^{4} x^{2}-6 A b c d \,e^{4} m^{4} x^{2}+214 A b c \,e^{5} m^{3} x^{3}-48 A \,c^{2} d \,e^{4} m^{3} x^{3}+260 A \,c^{2} e^{5} m^{2} x^{4}+B \,a^{2} e^{5} m^{5} x +36 B a b \,e^{5} m^{4} x^{2}-6 B a c d \,e^{4} m^{4} x^{2}+214 B a c \,e^{5} m^{3} x^{3}-3 B \,b^{2} d \,e^{4} m^{4} x^{2}+107 B \,b^{2} e^{5} m^{3} x^{3}-96 B b c d \,e^{4} m^{3} x^{3}+520 B b c \,e^{5} m^{2} x^{4}+20 B \,c^{2} d^{2} e^{3} m^{3} x^{3}-175 B \,c^{2} d \,e^{4} m^{2} x^{4}+274 B \,c^{2} e^{5} m \,x^{5}+A \,a^{2} e^{5} m^{5}+38 A a b \,e^{5} m^{4} x -4 A a c d \,e^{4} m^{4} x +242 A a c \,e^{5} m^{3} x^{2}-2 A \,b^{2} d \,e^{4} m^{4} x +121 A \,b^{2} e^{5} m^{3} x^{2}-84 A b c d \,e^{4} m^{3} x^{2}+614 A b c \,e^{5} m^{2} x^{3}+12 A \,c^{2} d^{2} e^{3} m^{3} x^{2}-188 A \,c^{2} d \,e^{4} m^{2} x^{3}+324 A \,c^{2} e^{5} m \,x^{4}+19 B \,a^{2} e^{5} m^{4} x -4 B a b d \,e^{4} m^{4} x +242 B a b \,e^{5} m^{3} x^{2}-84 B a c d \,e^{4} m^{3} x^{2}+614 B a c \,e^{5} m^{2} x^{3}-42 B \,b^{2} d \,e^{4} m^{3} x^{2}+307 B \,b^{2} e^{5} m^{2} x^{3}+24 B b c \,d^{2} e^{3} m^{3} x^{2}-376 B b c d \,e^{4} m^{2} x^{3}+648 B b c \,e^{5} m \,x^{4}+120 B \,c^{2} d^{2} e^{3} m^{2} x^{3}-250 B \,c^{2} d \,e^{4} m \,x^{4}+120 B \,c^{2} x^{5} e^{5}+20 A \,a^{2} e^{5} m^{4}-2 A a b d \,e^{4} m^{4}+274 A a b \,e^{5} m^{3} x -64 A a c d \,e^{4} m^{3} x +744 A a c \,e^{5} m^{2} x^{2}-32 A \,b^{2} d \,e^{4} m^{3} x +372 A \,b^{2} e^{5} m^{2} x^{2}+12 A b c \,d^{2} e^{3} m^{3} x -390 A b c d \,e^{4} m^{2} x^{2}+792 A b c \,e^{5} m \,x^{3}+108 A \,c^{2} d^{2} e^{3} m^{2} x^{2}-288 A \,c^{2} d \,e^{4} m \,x^{3}+144 A \,c^{2} e^{5} x^{4}-B \,a^{2} d \,e^{4} m^{4}+137 B \,a^{2} e^{5} m^{3} x -64 B a b d \,e^{4} m^{3} x +744 B a b \,e^{5} m^{2} x^{2}+12 B a c \,d^{2} e^{3} m^{3} x -390 B a c d \,e^{4} m^{2} x^{2}+792 B a c \,e^{5} m \,x^{3}+6 B \,b^{2} d^{2} e^{3} m^{3} x -195 B \,b^{2} d \,e^{4} m^{2} x^{2}+396 B \,b^{2} e^{5} m \,x^{3}+216 B b c \,d^{2} e^{3} m^{2} x^{2}-576 B b c d \,e^{4} m \,x^{3}+288 B b c \,e^{5} x^{4}-60 B \,c^{2} d^{3} e^{2} m^{2} x^{2}+220 B \,c^{2} d^{2} e^{3} m \,x^{3}-120 B \,c^{2} d \,e^{4} x^{4}+155 A \,a^{2} e^{5} m^{3}-36 A a b d \,e^{4} m^{3}+922 A a b \,e^{5} m^{2} x +4 A a c \,d^{2} e^{3} m^{3}-356 A a c d \,e^{4} m^{2} x +1016 A a c \,e^{5} m \,x^{2}+2 A \,b^{2} d^{2} e^{3} m^{3}-178 A \,b^{2} d \,e^{4} m^{2} x +508 A \,b^{2} e^{5} m \,x^{2}+144 A b c \,d^{2} e^{3} m^{2} x -672 A b c d \,e^{4} m \,x^{2}+360 A \,x^{3} b c \,e^{5}-24 A \,c^{2} d^{3} e^{2} m^{2} x +240 A \,c^{2} d^{2} e^{3} m \,x^{2}-144 A \,x^{3} c^{2} d \,e^{4}-18 B \,a^{2} d \,e^{4} m^{3}+461 B \,a^{2} e^{5} m^{2} x +4 B a b \,d^{2} e^{3} m^{3}-356 B a b d \,e^{4} m^{2} x +1016 B a b \,e^{5} m \,x^{2}+144 B a c \,d^{2} e^{3} m^{2} x -672 B a c d \,e^{4} m \,x^{2}+360 B \,x^{3} a c \,e^{5}+72 B \,b^{2} d^{2} e^{3} m^{2} x -336 B \,b^{2} d \,e^{4} m \,x^{2}+180 B \,b^{2} e^{5} x^{3}-48 B b c \,d^{3} e^{2} m^{2} x +480 B b c \,d^{2} e^{3} m \,x^{2}-288 B \,x^{3} b c d \,e^{4}-180 B \,c^{2} d^{3} e^{2} m \,x^{2}+120 B \,x^{3} c^{2} d^{2} e^{3}+580 A \,a^{2} e^{5} m^{2}-238 A a b d \,e^{4} m^{2}+1404 A a b \,e^{5} m x +60 A a c \,d^{2} e^{3} m^{2}-776 A a c d \,e^{4} m x +480 A \,x^{2} a c \,e^{5}+30 A \,b^{2} d^{2} e^{3} m^{2}-388 A \,b^{2} d \,e^{4} m x +240 A \,x^{2} b^{2} e^{5}-12 A b c \,d^{3} e^{2} m^{2}+492 A b c \,d^{2} e^{3} m x -360 A \,x^{2} b c d \,e^{4}-168 A \,c^{2} d^{3} e^{2} m x +144 A \,x^{2} c^{2} d^{2} e^{3}-119 B \,a^{2} d \,e^{4} m^{2}+702 B \,a^{2} e^{5} m x +60 B a b \,d^{2} e^{3} m^{2}-776 B a b d \,e^{4} m x +480 B \,x^{2} a b \,e^{5}-12 B a c \,d^{3} e^{2} m^{2}+492 B a c \,d^{2} e^{3} m x -360 B \,x^{2} a c d \,e^{4}-6 B \,b^{2} d^{3} e^{2} m^{2}+246 B \,b^{2} d^{2} e^{3} m x -180 B \,x^{2} b^{2} d \,e^{4}-336 B b c \,d^{3} e^{2} m x +288 B \,x^{2} b c \,d^{2} e^{3}+120 B \,c^{2} d^{4} e m x -120 B \,x^{2} c^{2} d^{3} e^{2}+1044 A \,a^{2} e^{5} m -684 A a b d \,e^{4} m +720 A x a b \,e^{5}+296 A a c \,d^{2} e^{3} m -480 A x a c d \,e^{4}+148 A \,b^{2} d^{2} e^{3} m -240 A x \,b^{2} d \,e^{4}-132 A b c \,d^{3} e^{2} m +360 A x b c \,d^{2} e^{3}+24 A \,c^{2} d^{4} e m -144 A \,c^{2} d^{3} e^{2} x -342 B \,a^{2} d \,e^{4} m +360 B x \,a^{2} e^{5}+296 B a b \,d^{2} e^{3} m -480 B x a b d \,e^{4}-132 B a c \,d^{3} e^{2} m +360 B x a c \,d^{2} e^{3}-66 B \,b^{2} d^{3} e^{2} m +180 B \,b^{2} d^{2} e^{3} x +48 B b c \,d^{4} e m -288 B x b c \,d^{3} e^{2}+120 B \,c^{2} d^{4} e x +720 A \,a^{2} e^{5}-720 A a b d \,e^{4}+480 A a c \,d^{2} e^{3}+240 A \,b^{2} d^{2} e^{3}-360 A b c \,d^{3} e^{2}+144 A \,c^{2} d^{4} e -360 B \,a^{2} d \,e^{4}+480 B a b \,d^{2} e^{3}-360 B a c \,d^{3} e^{2}-180 B \,b^{2} d^{3} e^{2}+288 B b c \,d^{4} e -120 B \,c^{2} d^{5}\right) \left(e x +d \right)^{m +1}}{\left(m^{6}+21 m^{5}+175 m^{4}+735 m^{3}+1624 m^{2}+1764 m +720\right) e^{6}}"," ",0,"(e*x+d)^(1+m)*(B*c^2*e^5*m^5*x^5+A*c^2*e^5*m^5*x^4+2*B*b*c*e^5*m^5*x^4+15*B*c^2*e^5*m^4*x^5+2*A*b*c*e^5*m^5*x^3+16*A*c^2*e^5*m^4*x^4+2*B*a*c*e^5*m^5*x^3+B*b^2*e^5*m^5*x^3+32*B*b*c*e^5*m^4*x^4-5*B*c^2*d*e^4*m^4*x^4+85*B*c^2*e^5*m^3*x^5+2*A*a*c*e^5*m^5*x^2+A*b^2*e^5*m^5*x^2+34*A*b*c*e^5*m^4*x^3-4*A*c^2*d*e^4*m^4*x^3+95*A*c^2*e^5*m^3*x^4+2*B*a*b*e^5*m^5*x^2+34*B*a*c*e^5*m^4*x^3+17*B*b^2*e^5*m^4*x^3-8*B*b*c*d*e^4*m^4*x^3+190*B*b*c*e^5*m^3*x^4-50*B*c^2*d*e^4*m^3*x^4+225*B*c^2*e^5*m^2*x^5+2*A*a*b*e^5*m^5*x+36*A*a*c*e^5*m^4*x^2+18*A*b^2*e^5*m^4*x^2-6*A*b*c*d*e^4*m^4*x^2+214*A*b*c*e^5*m^3*x^3-48*A*c^2*d*e^4*m^3*x^3+260*A*c^2*e^5*m^2*x^4+B*a^2*e^5*m^5*x+36*B*a*b*e^5*m^4*x^2-6*B*a*c*d*e^4*m^4*x^2+214*B*a*c*e^5*m^3*x^3-3*B*b^2*d*e^4*m^4*x^2+107*B*b^2*e^5*m^3*x^3-96*B*b*c*d*e^4*m^3*x^3+520*B*b*c*e^5*m^2*x^4+20*B*c^2*d^2*e^3*m^3*x^3-175*B*c^2*d*e^4*m^2*x^4+274*B*c^2*e^5*m*x^5+A*a^2*e^5*m^5+38*A*a*b*e^5*m^4*x-4*A*a*c*d*e^4*m^4*x+242*A*a*c*e^5*m^3*x^2-2*A*b^2*d*e^4*m^4*x+121*A*b^2*e^5*m^3*x^2-84*A*b*c*d*e^4*m^3*x^2+614*A*b*c*e^5*m^2*x^3+12*A*c^2*d^2*e^3*m^3*x^2-188*A*c^2*d*e^4*m^2*x^3+324*A*c^2*e^5*m*x^4+19*B*a^2*e^5*m^4*x-4*B*a*b*d*e^4*m^4*x+242*B*a*b*e^5*m^3*x^2-84*B*a*c*d*e^4*m^3*x^2+614*B*a*c*e^5*m^2*x^3-42*B*b^2*d*e^4*m^3*x^2+307*B*b^2*e^5*m^2*x^3+24*B*b*c*d^2*e^3*m^3*x^2-376*B*b*c*d*e^4*m^2*x^3+648*B*b*c*e^5*m*x^4+120*B*c^2*d^2*e^3*m^2*x^3-250*B*c^2*d*e^4*m*x^4+120*B*c^2*e^5*x^5+20*A*a^2*e^5*m^4-2*A*a*b*d*e^4*m^4+274*A*a*b*e^5*m^3*x-64*A*a*c*d*e^4*m^3*x+744*A*a*c*e^5*m^2*x^2-32*A*b^2*d*e^4*m^3*x+372*A*b^2*e^5*m^2*x^2+12*A*b*c*d^2*e^3*m^3*x-390*A*b*c*d*e^4*m^2*x^2+792*A*b*c*e^5*m*x^3+108*A*c^2*d^2*e^3*m^2*x^2-288*A*c^2*d*e^4*m*x^3+144*A*c^2*e^5*x^4-B*a^2*d*e^4*m^4+137*B*a^2*e^5*m^3*x-64*B*a*b*d*e^4*m^3*x+744*B*a*b*e^5*m^2*x^2+12*B*a*c*d^2*e^3*m^3*x-390*B*a*c*d*e^4*m^2*x^2+792*B*a*c*e^5*m*x^3+6*B*b^2*d^2*e^3*m^3*x-195*B*b^2*d*e^4*m^2*x^2+396*B*b^2*e^5*m*x^3+216*B*b*c*d^2*e^3*m^2*x^2-576*B*b*c*d*e^4*m*x^3+288*B*b*c*e^5*x^4-60*B*c^2*d^3*e^2*m^2*x^2+220*B*c^2*d^2*e^3*m*x^3-120*B*c^2*d*e^4*x^4+155*A*a^2*e^5*m^3-36*A*a*b*d*e^4*m^3+922*A*a*b*e^5*m^2*x+4*A*a*c*d^2*e^3*m^3-356*A*a*c*d*e^4*m^2*x+1016*A*a*c*e^5*m*x^2+2*A*b^2*d^2*e^3*m^3-178*A*b^2*d*e^4*m^2*x+508*A*b^2*e^5*m*x^2+144*A*b*c*d^2*e^3*m^2*x-672*A*b*c*d*e^4*m*x^2+360*A*b*c*e^5*x^3-24*A*c^2*d^3*e^2*m^2*x+240*A*c^2*d^2*e^3*m*x^2-144*A*c^2*d*e^4*x^3-18*B*a^2*d*e^4*m^3+461*B*a^2*e^5*m^2*x+4*B*a*b*d^2*e^3*m^3-356*B*a*b*d*e^4*m^2*x+1016*B*a*b*e^5*m*x^2+144*B*a*c*d^2*e^3*m^2*x-672*B*a*c*d*e^4*m*x^2+360*B*a*c*e^5*x^3+72*B*b^2*d^2*e^3*m^2*x-336*B*b^2*d*e^4*m*x^2+180*B*b^2*e^5*x^3-48*B*b*c*d^3*e^2*m^2*x+480*B*b*c*d^2*e^3*m*x^2-288*B*b*c*d*e^4*x^3-180*B*c^2*d^3*e^2*m*x^2+120*B*c^2*d^2*e^3*x^3+580*A*a^2*e^5*m^2-238*A*a*b*d*e^4*m^2+1404*A*a*b*e^5*m*x+60*A*a*c*d^2*e^3*m^2-776*A*a*c*d*e^4*m*x+480*A*a*c*e^5*x^2+30*A*b^2*d^2*e^3*m^2-388*A*b^2*d*e^4*m*x+240*A*b^2*e^5*x^2-12*A*b*c*d^3*e^2*m^2+492*A*b*c*d^2*e^3*m*x-360*A*b*c*d*e^4*x^2-168*A*c^2*d^3*e^2*m*x+144*A*c^2*d^2*e^3*x^2-119*B*a^2*d*e^4*m^2+702*B*a^2*e^5*m*x+60*B*a*b*d^2*e^3*m^2-776*B*a*b*d*e^4*m*x+480*B*a*b*e^5*x^2-12*B*a*c*d^3*e^2*m^2+492*B*a*c*d^2*e^3*m*x-360*B*a*c*d*e^4*x^2-6*B*b^2*d^3*e^2*m^2+246*B*b^2*d^2*e^3*m*x-180*B*b^2*d*e^4*x^2-336*B*b*c*d^3*e^2*m*x+288*B*b*c*d^2*e^3*x^2+120*B*c^2*d^4*e*m*x-120*B*c^2*d^3*e^2*x^2+1044*A*a^2*e^5*m-684*A*a*b*d*e^4*m+720*A*a*b*e^5*x+296*A*a*c*d^2*e^3*m-480*A*a*c*d*e^4*x+148*A*b^2*d^2*e^3*m-240*A*b^2*d*e^4*x-132*A*b*c*d^3*e^2*m+360*A*b*c*d^2*e^3*x+24*A*c^2*d^4*e*m-144*A*c^2*d^3*e^2*x-342*B*a^2*d*e^4*m+360*B*a^2*e^5*x+296*B*a*b*d^2*e^3*m-480*B*a*b*d*e^4*x-132*B*a*c*d^3*e^2*m+360*B*a*c*d^2*e^3*x-66*B*b^2*d^3*e^2*m+180*B*b^2*d^2*e^3*x+48*B*b*c*d^4*e*m-288*B*b*c*d^3*e^2*x+120*B*c^2*d^4*e*x+720*A*a^2*e^5-720*A*a*b*d*e^4+480*A*a*c*d^2*e^3+240*A*b^2*d^2*e^3-360*A*b*c*d^3*e^2+144*A*c^2*d^4*e-360*B*a^2*d*e^4+480*B*a*b*d^2*e^3-360*B*a*c*d^3*e^2-180*B*b^2*d^3*e^2+288*B*b*c*d^4*e-120*B*c^2*d^5)/e^6/(m^6+21*m^5+175*m^4+735*m^3+1624*m^2+1764*m+720)","B"
2642,1,498,153,0.007000," ","int((B*x+A)*(e*x+d)^m*(c*x^2+b*x+a),x)","\frac{\left(B c \,e^{3} m^{3} x^{3}+A c \,e^{3} m^{3} x^{2}+B b \,e^{3} m^{3} x^{2}+6 B c \,e^{3} m^{2} x^{3}+A b \,e^{3} m^{3} x +7 A c \,e^{3} m^{2} x^{2}+B a \,e^{3} m^{3} x +7 B b \,e^{3} m^{2} x^{2}-3 B c d \,e^{2} m^{2} x^{2}+11 B c \,e^{3} m \,x^{3}+A a \,e^{3} m^{3}+8 A b \,e^{3} m^{2} x -2 A c d \,e^{2} m^{2} x +14 A c \,e^{3} m \,x^{2}+8 B a \,e^{3} m^{2} x -2 B b d \,e^{2} m^{2} x +14 B b \,e^{3} m \,x^{2}-9 B c d \,e^{2} m \,x^{2}+6 B c \,x^{3} e^{3}+9 A a \,e^{3} m^{2}-A b d \,e^{2} m^{2}+19 A b \,e^{3} m x -10 A c d \,e^{2} m x +8 A c \,e^{3} x^{2}-B a d \,e^{2} m^{2}+19 B a \,e^{3} m x -10 B b d \,e^{2} m x +8 B b \,e^{3} x^{2}+6 B c \,d^{2} e m x -6 B c d \,e^{2} x^{2}+26 A a \,e^{3} m -7 A b d \,e^{2} m +12 A b \,e^{3} x +2 A c \,d^{2} e m -8 A c d \,e^{2} x -7 B a d \,e^{2} m +12 B a \,e^{3} x +2 B b \,d^{2} e m -8 B b d \,e^{2} x +6 B c \,d^{2} e x +24 a A \,e^{3}-12 A b d \,e^{2}+8 A c \,d^{2} e -12 a B d \,e^{2}+8 B b \,d^{2} e -6 B c \,d^{3}\right) \left(e x +d \right)^{m +1}}{\left(m^{4}+10 m^{3}+35 m^{2}+50 m +24\right) e^{4}}"," ",0,"(e*x+d)^(m+1)*(B*c*e^3*m^3*x^3+A*c*e^3*m^3*x^2+B*b*e^3*m^3*x^2+6*B*c*e^3*m^2*x^3+A*b*e^3*m^3*x+7*A*c*e^3*m^2*x^2+B*a*e^3*m^3*x+7*B*b*e^3*m^2*x^2-3*B*c*d*e^2*m^2*x^2+11*B*c*e^3*m*x^3+A*a*e^3*m^3+8*A*b*e^3*m^2*x-2*A*c*d*e^2*m^2*x+14*A*c*e^3*m*x^2+8*B*a*e^3*m^2*x-2*B*b*d*e^2*m^2*x+14*B*b*e^3*m*x^2-9*B*c*d*e^2*m*x^2+6*B*c*e^3*x^3+9*A*a*e^3*m^2-A*b*d*e^2*m^2+19*A*b*e^3*m*x-10*A*c*d*e^2*m*x+8*A*c*e^3*x^2-B*a*d*e^2*m^2+19*B*a*e^3*m*x-10*B*b*d*e^2*m*x+8*B*b*e^3*x^2+6*B*c*d^2*e*m*x-6*B*c*d*e^2*x^2+26*A*a*e^3*m-7*A*b*d*e^2*m+12*A*b*e^3*x+2*A*c*d^2*e*m-8*A*c*d*e^2*x-7*B*a*d*e^2*m+12*B*a*e^3*x+2*B*b*d^2*e*m-8*B*b*d*e^2*x+6*B*c*d^2*e*x+24*A*a*e^3-12*A*b*d*e^2+8*A*c*d^2*e-12*B*a*d*e^2+8*B*b*d^2*e-6*B*c*d^3)/e^4/(m^4+10*m^3+35*m^2+50*m+24)","B"
2643,0,0,204,0.203000," ","int((B*x+A)*(e*x+d)^m/(c*x^2+b*x+a),x)","\int \frac{\left(B x +A \right) \left(e x +d \right)^{m}}{c \,x^{2}+b x +a}\, dx"," ",0,"int((B*x+A)*(e*x+d)^m/(c*x^2+b*x+a),x)","F"
2644,0,0,528,0.120000," ","int((B*x+A)*(e*x+d)^m/(c*x^2+b*x+a)^2,x)","\int \frac{\left(B x +A \right) \left(e x +d \right)^{m}}{\left(c \,x^{2}+b x +a \right)^{2}}\, dx"," ",0,"int((B*x+A)*(e*x+d)^m/(c*x^2+b*x+a)^2,x)","F"
2645,0,0,204,0.121000," ","int((B*x+A)*(e*x+d)^(m+1)/(c*x^2+b*x+a),x)","\int \frac{\left(B x +A \right) \left(e x +d \right)^{m +1}}{c \,x^{2}+b x +a}\, dx"," ",0,"int((B*x+A)*(e*x+d)^(m+1)/(c*x^2+b*x+a),x)","F"
2646,0,0,331,0.129000," ","int((B*x+A)*(e*x+d)^(-3-2*p)*(c*x^2+b*x+a)^p,x)","\int \left(B x +A \right) \left(e x +d \right)^{-2 p -3} \left(c \,x^{2}+b x +a \right)^{p}\, dx"," ",0,"int((B*x+A)*(e*x+d)^(-3-2*p)*(c*x^2+b*x+a)^p,x)","F"