1,1,28,17,0.010000," ","int(x^2/(x-1)^2/(x+1)^2,x)","\frac{\ln \left(x -1\right)}{4}-\frac{\ln \left(x +1\right)}{4}-\frac{1}{4 \left(x +1\right)}-\frac{1}{4 \left(x -1\right)}"," ",0,"-1/4/(x+1)-1/4*ln(x+1)-1/4/(x-1)+1/4*ln(x-1)","A"
2,1,48,47,0.001000," ","int(x^2*(b*x+a)*(-b*c*x+a*c)^3,x)","-\frac{1}{7} b^{4} c^{3} x^{7}+\frac{1}{3} a \,b^{3} c^{3} x^{6}-\frac{1}{2} a^{3} b \,c^{3} x^{4}+\frac{1}{3} a^{4} c^{3} x^{3}"," ",0,"1/3*a^4*c^3*x^3-1/2*a^3*b*c^3*x^4+1/3*a*b^3*c^3*x^6-1/7*b^4*c^3*x^7","A"
3,1,48,47,0.000000," ","int(x*(b*x+a)*(-b*c*x+a*c)^3,x)","-\frac{1}{6} b^{4} c^{3} x^{6}+\frac{2}{5} a \,b^{3} c^{3} x^{5}-\frac{2}{3} a^{3} b \,c^{3} x^{3}+\frac{1}{2} a^{4} c^{3} x^{2}"," ",0,"1/2*a^4*c^3*x^2-2/3*a^3*b*c^3*x^3+2/5*a*b^3*c^3*x^5-1/6*b^4*c^3*x^6","A"
4,1,45,34,0.000000," ","int((b*x+a)*(-b*c*x+a*c)^3,x)","-\frac{1}{5} b^{4} c^{3} x^{5}+\frac{1}{2} a \,b^{3} c^{3} x^{4}-a^{3} b \,c^{3} x^{2}+a^{4} c^{3} x"," ",0,"-1/5*b^4*c^3*x^5+1/2*a*b^3*c^3*x^4-a^3*b*c^3*x^2+a^4*c^3*x","A"
5,1,44,43,0.003000," ","int((b*x+a)*(-b*c*x+a*c)^3/x,x)","-\frac{b^{4} c^{3} x^{4}}{4}+\frac{2 a \,b^{3} c^{3} x^{3}}{3}+a^{4} c^{3} \ln \left(x \right)-2 a^{3} b \,c^{3} x"," ",0,"-2*a^3*b*c^3*x+2/3*a*b^3*c^3*x^3-1/4*b^4*c^3*x^4+a^4*c^3*ln(x)","A"
6,1,46,45,0.006000," ","int((b*x+a)*(-b*c*x+a*c)^3/x^2,x)","-\frac{b^{4} c^{3} x^{3}}{3}+a \,b^{3} c^{3} x^{2}-2 a^{3} b \,c^{3} \ln \left(x \right)-\frac{a^{4} c^{3}}{x}"," ",0,"-a^4*c^3/x+a*b^3*c^3*x^2-1/3*b^4*c^3*x^3-2*a^3*b*c^3*ln(x)","A"
7,1,38,16,0.005000," ","int((b*x+a)*(-b*c*x+a*c)^3/x^3,x)","\left(-\frac{b^{4} x^{2}}{2}+2 a \,b^{3} x +\frac{2 a^{3} b}{x}-\frac{a^{4}}{2 x^{2}}\right) c^{3}"," ",0,"c^3*(-1/2*b^4*x^2+2*a*b^3*x+2*a^3*b/x-1/2*a^4/x^2)","B"
8,1,44,43,0.006000," ","int((b*x+a)*(-b*c*x+a*c)^3/x^4,x)","2 a \,b^{3} c^{3} \ln \left(x \right)-b^{4} c^{3} x +\frac{a^{3} b \,c^{3}}{x^{2}}-\frac{a^{4} c^{3}}{3 x^{3}}"," ",0,"-1/3*a^4*c^3/x^3+a^3*b*c^3/x^2-b^4*c^3*x+2*a*b^3*c^3*ln(x)","A"
9,1,47,46,0.007000," ","int((b*x+a)*(-b*c*x+a*c)^3/x^5,x)","-b^{4} c^{3} \ln \left(x \right)-\frac{2 a \,b^{3} c^{3}}{x}+\frac{2 a^{3} b \,c^{3}}{3 x^{3}}-\frac{a^{4} c^{3}}{4 x^{4}}"," ",0,"-1/4*a^4*c^3/x^4+2/3*a^3*b*c^3/x^3-2*a*b^3*c^3/x-b^4*c^3*ln(x)","A"
10,1,39,46,0.004000," ","int((b*x+a)*(-b*c*x+a*c)^3/x^6,x)","\left(\frac{b^{4}}{x}-\frac{a \,b^{3}}{x^{2}}+\frac{a^{3} b}{2 x^{4}}-\frac{a^{4}}{5 x^{5}}\right) c^{3}"," ",0,"c^3*(-1/5*a^4/x^5+b^4/x-a*b^3/x^2+1/2*a^3*b/x^4)","A"
11,1,40,47,0.006000," ","int((b*x+a)*(-b*c*x+a*c)^3/x^7,x)","\left(\frac{b^{4}}{2 x^{2}}-\frac{2 a \,b^{3}}{3 x^{3}}+\frac{2 a^{3} b}{5 x^{5}}-\frac{a^{4}}{6 x^{6}}\right) c^{3}"," ",0,"c^3*(-1/6*a^4/x^6+2/5*a^3*b/x^5+1/2*b^4/x^2-2/3*a*b^3/x^3)","A"
12,1,40,47,0.006000," ","int((b*x+a)*(-b*c*x+a*c)^3/x^8,x)","\left(\frac{b^{4}}{3 x^{3}}-\frac{a \,b^{3}}{2 x^{4}}+\frac{a^{3} b}{3 x^{6}}-\frac{a^{4}}{7 x^{7}}\right) c^{3}"," ",0,"c^3*(1/3*a^3*b/x^6-1/7*a^4/x^7+1/3*b^4/x^3-1/2*a*b^3/x^4)","A"
13,1,76,75,0.000000," ","int(x^4*(b*x+a)*(-b*c*x+a*c)^4,x)","\frac{1}{10} b^{5} c^{4} x^{10}-\frac{1}{3} a \,b^{4} c^{4} x^{9}+\frac{1}{4} a^{2} b^{3} c^{4} x^{8}+\frac{2}{7} a^{3} b^{2} c^{4} x^{7}-\frac{1}{2} a^{4} b \,c^{4} x^{6}+\frac{1}{5} a^{5} c^{4} x^{5}"," ",0,"1/5*a^5*c^4*x^5-1/2*a^4*b*c^4*x^6+2/7*a^3*b^2*c^4*x^7+1/4*a^2*b^3*c^4*x^8-1/3*a*b^4*c^4*x^9+1/10*b^5*c^4*x^10","A"
14,1,76,75,0.001000," ","int(x^3*(b*x+a)*(-b*c*x+a*c)^4,x)","\frac{1}{9} b^{5} c^{4} x^{9}-\frac{3}{8} a \,b^{4} c^{4} x^{8}+\frac{2}{7} a^{2} b^{3} c^{4} x^{7}+\frac{1}{3} a^{3} b^{2} c^{4} x^{6}-\frac{3}{5} a^{4} b \,c^{4} x^{5}+\frac{1}{4} a^{5} c^{4} x^{4}"," ",0,"1/4*a^5*c^4*x^4-3/5*a^4*b*c^4*x^5+1/3*a^3*b^2*c^4*x^6+2/7*a^2*b^3*c^4*x^7-3/8*a*b^4*c^4*x^8+1/9*b^5*c^4*x^9","A"
15,1,76,72,0.000000," ","int(x^2*(b*x+a)*(-b*c*x+a*c)^4,x)","\frac{1}{8} b^{5} c^{4} x^{8}-\frac{3}{7} a \,b^{4} c^{4} x^{7}+\frac{1}{3} a^{2} b^{3} c^{4} x^{6}+\frac{2}{5} a^{3} b^{2} c^{4} x^{5}-\frac{3}{4} a^{4} b \,c^{4} x^{4}+\frac{1}{3} a^{5} c^{4} x^{3}"," ",0,"1/8*b^5*c^4*x^8-3/7*a*b^4*c^4*x^7+1/3*a^2*c^4*b^3*x^6+2/5*a^3*c^4*b^2*x^5-3/4*a^4*c^4*b*x^4+1/3*a^5*c^4*x^3","A"
16,1,76,53,0.000000," ","int(x*(b*x+a)*(-b*c*x+a*c)^4,x)","\frac{1}{7} b^{5} c^{4} x^{7}-\frac{1}{2} a \,b^{4} c^{4} x^{6}+\frac{2}{5} a^{2} b^{3} c^{4} x^{5}+\frac{1}{2} a^{3} b^{2} c^{4} x^{4}-a^{4} b \,c^{4} x^{3}+\frac{1}{2} a^{5} c^{4} x^{2}"," ",0,"1/7*b^5*c^4*x^7-1/2*a*b^4*c^4*x^6+2/5*a^2*c^4*b^3*x^5+1/2*a^3*c^4*b^2*x^4-a^4*c^4*b*x^3+1/2*a^5*c^4*x^2","A"
17,1,73,34,0.000000," ","int((b*x+a)*(-b*c*x+a*c)^4,x)","\frac{1}{6} b^{5} c^{4} x^{6}-\frac{3}{5} a \,b^{4} c^{4} x^{5}+\frac{1}{2} a^{2} b^{3} c^{4} x^{4}+\frac{2}{3} a^{3} b^{2} c^{4} x^{3}-\frac{3}{2} a^{4} b \,c^{4} x^{2}+a^{5} c^{4} x"," ",0,"1/6*b^5*c^4*x^6-3/5*a*b^4*c^4*x^5+1/2*a^2*b^3*c^4*x^4+2/3*a^3*b^2*c^4*x^3-3/2*a^4*b*c^4*x^2+a^5*c^4*x","B"
18,1,71,70,0.002000," ","int((b*x+a)*(-b*c*x+a*c)^4/x,x)","\frac{b^{5} c^{4} x^{5}}{5}-\frac{3 a \,b^{4} c^{4} x^{4}}{4}+\frac{2 a^{2} b^{3} c^{4} x^{3}}{3}+a^{3} b^{2} c^{4} x^{2}+a^{5} c^{4} \ln \left(x \right)-3 a^{4} b \,c^{4} x"," ",0,"-3*a^4*b*c^4*x+a^3*b^2*c^4*x^2+2/3*a^2*b^3*c^4*x^3-3/4*a*b^4*c^4*x^4+1/5*b^5*c^4*x^5+a^5*c^4*ln(x)","A"
19,1,72,71,0.006000," ","int((b*x+a)*(-b*c*x+a*c)^4/x^2,x)","\frac{b^{5} c^{4} x^{4}}{4}-a \,b^{4} c^{4} x^{3}+a^{2} b^{3} c^{4} x^{2}-3 a^{4} b \,c^{4} \ln \left(x \right)+2 a^{3} b^{2} c^{4} x -\frac{a^{5} c^{4}}{x}"," ",0,"-a^5*c^4/x+2*a^3*b^2*c^4*x+a^2*b^3*c^4*x^2-a*b^4*c^4*x^3+1/4*b^5*c^4*x^4-3*a^4*b*c^4*ln(x)","A"
20,1,73,72,0.006000," ","int((b*x+a)*(-b*c*x+a*c)^4/x^3,x)","\frac{b^{5} c^{4} x^{3}}{3}-\frac{3 a \,b^{4} c^{4} x^{2}}{2}+2 a^{3} b^{2} c^{4} \ln \left(x \right)+2 a^{2} b^{3} c^{4} x +\frac{3 a^{4} b \,c^{4}}{x}-\frac{a^{5} c^{4}}{2 x^{2}}"," ",0,"-1/2*a^5*c^4/x^2+3*a^4*b*c^4/x+2*a^2*b^3*c^4*x-3/2*a*b^4*c^4*x^2+1/3*b^5*c^4*x^3+2*a^3*b^2*c^4*ln(x)","A"
21,1,73,72,0.006000," ","int((b*x+a)*(-b*c*x+a*c)^4/x^4,x)","\frac{b^{5} c^{4} x^{2}}{2}+2 a^{2} b^{3} c^{4} \ln \left(x \right)-3 a \,b^{4} c^{4} x -\frac{2 a^{3} b^{2} c^{4}}{x}+\frac{3 a^{4} b \,c^{4}}{2 x^{2}}-\frac{a^{5} c^{4}}{3 x^{3}}"," ",0,"-1/3*a^5*c^4/x^3+3/2*a^4*b*c^4/x^2-2*a^3*b^2*c^4/x-3*a*b^4*c^4*x+1/2*b^5*c^4*x^2+2*a^2*b^3*c^4*ln(x)","A"
22,1,71,70,0.007000," ","int((b*x+a)*(-b*c*x+a*c)^4/x^5,x)","-3 a \,b^{4} c^{4} \ln \left(x \right)+b^{5} c^{4} x -\frac{2 a^{2} b^{3} c^{4}}{x}-\frac{a^{3} b^{2} c^{4}}{x^{2}}+\frac{a^{4} b \,c^{4}}{x^{3}}-\frac{a^{5} c^{4}}{4 x^{4}}"," ",0,"-1/4*a^5*c^4/x^4+a^4*b*c^4/x^3-a^3*b^2*c^4/x^2-2*a^2*b^3*c^4/x+b^5*c^4*x-3*a*b^4*c^4*ln(x)","A"
23,1,74,73,0.007000," ","int((b*x+a)*(-b*c*x+a*c)^4/x^6,x)","b^{5} c^{4} \ln \left(x \right)+\frac{3 a \,b^{4} c^{4}}{x}-\frac{a^{2} b^{3} c^{4}}{x^{2}}-\frac{2 a^{3} b^{2} c^{4}}{3 x^{3}}+\frac{3 a^{4} b \,c^{4}}{4 x^{4}}-\frac{a^{5} c^{4}}{5 x^{5}}"," ",0,"-1/5*a^5*c^4/x^5+3/4*a^4*b*c^4/x^4-2/3*a^3*b^2*c^4/x^3-a^2*b^3*c^4/x^2+3*a*b^4*c^4/x+b^5*c^4*ln(x)","A"
24,1,62,37,0.006000," ","int((b*x+a)*(-b*c*x+a*c)^4/x^7,x)","\left(-\frac{b^{5}}{x}+\frac{3 a \,b^{4}}{2 x^{2}}-\frac{2 a^{2} b^{3}}{3 x^{3}}-\frac{a^{3} b^{2}}{2 x^{4}}+\frac{3 a^{4} b}{5 x^{5}}-\frac{a^{5}}{6 x^{6}}\right) c^{4}"," ",0,"c^4*(-1/6*a^5/x^6+3/5*a^4*b/x^5-b^5/x+3/2*a*b^4/x^2-2/3*a^2*b^3/x^3-1/2*a^3*b^2/x^4)","A"
25,1,61,74,0.004000," ","int((b*x+a)*(-b*c*x+a*c)^4/x^8,x)","\left(-\frac{b^{5}}{2 x^{2}}+\frac{a \,b^{4}}{x^{3}}-\frac{a^{2} b^{3}}{2 x^{4}}-\frac{2 a^{3} b^{2}}{5 x^{5}}+\frac{a^{4} b}{2 x^{6}}-\frac{a^{5}}{7 x^{7}}\right) c^{4}"," ",0,"c^4*(1/2*a^4*b/x^6-2/5*a^3*b^2/x^5-1/2*b^5/x^2+a*b^4/x^3-1/7*a^5/x^7-1/2*a^2*b^3/x^4)","A"
26,1,62,75,0.007000," ","int((b*x+a)*(-b*c*x+a*c)^4/x^9,x)","\left(-\frac{b^{5}}{3 x^{3}}+\frac{3 a \,b^{4}}{4 x^{4}}-\frac{2 a^{2} b^{3}}{5 x^{5}}-\frac{a^{3} b^{2}}{3 x^{6}}+\frac{3 a^{4} b}{7 x^{7}}-\frac{a^{5}}{8 x^{8}}\right) c^{4}"," ",0,"c^4*(-1/3*a^3*b^2/x^6-2/5*a^2*b^3/x^5-1/8*a^5/x^8-1/3*b^5/x^3+3/7*a^4*b/x^7+3/4*a*b^4/x^4)","A"
27,1,76,75,0.001000," ","int(x^4*(b*x+a)*(-b*c*x+a*c)^5,x)","-\frac{1}{11} b^{6} c^{5} x^{11}+\frac{2}{5} a \,b^{5} c^{5} x^{10}-\frac{5}{9} a^{2} b^{4} c^{5} x^{9}+\frac{5}{7} a^{4} b^{2} c^{5} x^{7}-\frac{2}{3} a^{5} b \,c^{5} x^{6}+\frac{1}{5} a^{6} c^{5} x^{5}"," ",0,"1/5*a^6*c^5*x^5-2/3*a^5*b*c^5*x^6+5/7*a^4*b^2*c^5*x^7-5/9*a^2*b^4*c^5*x^9+2/5*a*b^5*c^5*x^10-1/11*b^6*c^5*x^11","A"
28,1,76,75,0.001000," ","int(x^3*(b*x+a)*(-b*c*x+a*c)^5,x)","-\frac{1}{10} b^{6} c^{5} x^{10}+\frac{4}{9} a \,b^{5} c^{5} x^{9}-\frac{5}{8} a^{2} b^{4} c^{5} x^{8}+\frac{5}{6} a^{4} b^{2} c^{5} x^{6}-\frac{4}{5} a^{5} b \,c^{5} x^{5}+\frac{1}{4} a^{6} c^{5} x^{4}"," ",0,"1/4*a^6*c^5*x^4-4/5*a^5*b*c^5*x^5+5/6*a^4*b^2*c^5*x^6-5/8*a^2*b^4*c^5*x^8+4/9*a*b^5*c^5*x^9-1/10*b^6*c^5*x^10","A"
29,1,75,72,0.001000," ","int(x^2*(b*x+a)*(-b*c*x+a*c)^5,x)","-\frac{1}{9} b^{6} c^{5} x^{9}+\frac{1}{2} a \,b^{5} c^{5} x^{8}-\frac{5}{7} a^{2} b^{4} c^{5} x^{7}+a^{4} b^{2} c^{5} x^{5}-a^{5} b \,c^{5} x^{4}+\frac{1}{3} a^{6} c^{5} x^{3}"," ",0,"-1/9*b^6*c^5*x^9+1/2*a*b^5*c^5*x^8-5/7*a^2*c^5*b^4*x^7+a^4*c^5*b^2*x^5-a^5*c^5*b*x^4+1/3*a^6*c^5*x^3","A"
30,1,76,53,0.001000," ","int(x*(b*x+a)*(-b*c*x+a*c)^5,x)","-\frac{1}{8} b^{6} c^{5} x^{8}+\frac{4}{7} a \,b^{5} c^{5} x^{7}-\frac{5}{6} a^{2} b^{4} c^{5} x^{6}+\frac{5}{4} a^{4} b^{2} c^{5} x^{4}-\frac{4}{3} a^{5} b \,c^{5} x^{3}+\frac{1}{2} a^{6} c^{5} x^{2}"," ",0,"-1/8*b^6*c^5*x^8+4/7*a*b^5*c^5*x^7-5/6*a^2*c^5*b^4*x^6+5/4*a^4*c^5*b^2*x^4-4/3*a^5*c^5*b*x^3+1/2*a^6*c^5*x^2","A"
31,1,73,34,0.001000," ","int((b*x+a)*(-b*c*x+a*c)^5,x)","-\frac{1}{7} b^{6} c^{5} x^{7}+\frac{2}{3} a \,b^{5} c^{5} x^{6}-a^{2} b^{4} c^{5} x^{5}+\frac{5}{3} a^{4} b^{2} c^{5} x^{3}-2 a^{5} b \,c^{5} x^{2}+a^{6} c^{5} x"," ",0,"-1/7*b^6*c^5*x^7+2/3*a*b^5*c^5*x^6-a^2*b^4*c^5*x^5+5/3*a^4*b^2*c^5*x^3-2*a^5*b*c^5*x^2+a^6*c^5*x","B"
32,1,72,71,0.003000," ","int((b*x+a)*(-b*c*x+a*c)^5/x,x)","-\frac{b^{6} c^{5} x^{6}}{6}+\frac{4 a \,b^{5} c^{5} x^{5}}{5}-\frac{5 a^{2} b^{4} c^{5} x^{4}}{4}+\frac{5 a^{4} b^{2} c^{5} x^{2}}{2}+a^{6} c^{5} \ln \left(x \right)-4 a^{5} b \,c^{5} x"," ",0,"-4*a^5*b*c^5*x+5/2*a^4*b^2*c^5*x^2-5/4*a^2*b^4*c^5*x^4+4/5*a*b^5*c^5*x^5-1/6*b^6*c^5*x^6+a^6*c^5*ln(x)","A"
33,1,72,71,0.004000," ","int((b*x+a)*(-b*c*x+a*c)^5/x^2,x)","-\frac{b^{6} c^{5} x^{5}}{5}+a \,b^{5} c^{5} x^{4}-\frac{5 a^{2} b^{4} c^{5} x^{3}}{3}-4 a^{5} b \,c^{5} \ln \left(x \right)+5 a^{4} b^{2} c^{5} x -\frac{a^{6} c^{5}}{x}"," ",0,"-a^6*c^5/x+5*a^4*b^2*c^5*x-5/3*a^2*b^4*c^5*x^3+a*b^5*c^5*x^4-1/5*b^6*c^5*x^5-4*a^5*b*c^5*ln(x)","A"
34,1,75,74,0.006000," ","int((b*x+a)*(-b*c*x+a*c)^5/x^3,x)","-\frac{b^{6} c^{5} x^{4}}{4}+\frac{4 a \,b^{5} c^{5} x^{3}}{3}-\frac{5 a^{2} b^{4} c^{5} x^{2}}{2}+5 a^{4} b^{2} c^{5} \ln \left(x \right)+\frac{4 a^{5} b \,c^{5}}{x}-\frac{a^{6} c^{5}}{2 x^{2}}"," ",0,"-1/2*a^6*c^5/x^2+4*a^5*b*c^5/x-5/2*a^2*b^4*c^5*x^2+4/3*a*b^5*c^5*x^3-1/4*b^6*c^5*x^4+5*a^4*b^2*c^5*ln(x)","A"
35,1,60,16,0.007000," ","int((b*x+a)*(-b*c*x+a*c)^5/x^4,x)","\left(-\frac{b^{6} x^{3}}{3}+2 a \,b^{5} x^{2}-5 a^{2} b^{4} x -\frac{5 a^{4} b^{2}}{x}+\frac{2 a^{5} b}{x^{2}}-\frac{a^{6}}{3 x^{3}}\right) c^{5}"," ",0,"c^5*(-1/3*b^6*x^3+2*a*b^5*x^2-5*a^2*b^4*x-5*a^4*b^2/x+2*a^5*b/x^2-1/3*a^6/x^3)","B"
36,1,73,72,0.007000," ","int((b*x+a)*(-b*c*x+a*c)^5/x^5,x)","-\frac{b^{6} c^{5} x^{2}}{2}-5 a^{2} b^{4} c^{5} \ln \left(x \right)+4 a \,b^{5} c^{5} x -\frac{5 a^{4} b^{2} c^{5}}{2 x^{2}}+\frac{4 a^{5} b \,c^{5}}{3 x^{3}}-\frac{a^{6} c^{5}}{4 x^{4}}"," ",0,"-1/4*a^6*c^5/x^4+4/3*a^5*b*c^5/x^3-5/2*a^4*b^2*c^5/x^2+4*a*b^5*c^5*x-1/2*b^6*c^5*x^2-5*a^2*b^4*c^5*ln(x)","A"
37,1,72,71,0.007000," ","int((b*x+a)*(-b*c*x+a*c)^5/x^6,x)","4 a \,b^{5} c^{5} \ln \left(x \right)-b^{6} c^{5} x +\frac{5 a^{2} b^{4} c^{5}}{x}-\frac{5 a^{4} b^{2} c^{5}}{3 x^{3}}+\frac{a^{5} b \,c^{5}}{x^{4}}-\frac{a^{6} c^{5}}{5 x^{5}}"," ",0,"-1/5*a^6*c^5/x^5+a^5*b*c^5/x^4-5/3*a^4*b^2*c^5/x^3+5*a^2*b^4*c^5/x-b^6*c^5*x+4*a*b^5*c^5*ln(x)","A"
38,1,75,74,0.008000," ","int((b*x+a)*(-b*c*x+a*c)^5/x^7,x)","-b^{6} c^{5} \ln \left(x \right)-\frac{4 a \,b^{5} c^{5}}{x}+\frac{5 a^{2} b^{4} c^{5}}{2 x^{2}}-\frac{5 a^{4} b^{2} c^{5}}{4 x^{4}}+\frac{4 a^{5} b \,c^{5}}{5 x^{5}}-\frac{a^{6} c^{5}}{6 x^{6}}"," ",0,"-1/6*a^6*c^5/x^6+4/5*a^5*b*c^5/x^5-5/4*a^4*b^2*c^5/x^4+5/2*a^2*b^4*c^5/x^2-4*a*b^5*c^5/x-b^6*c^5*ln(x)","A"
39,1,61,37,0.006000," ","int((b*x+a)*(-b*c*x+a*c)^5/x^8,x)","\left(\frac{b^{6}}{x}-\frac{2 a \,b^{5}}{x^{2}}+\frac{5 a^{2} b^{4}}{3 x^{3}}-\frac{a^{4} b^{2}}{x^{5}}+\frac{2 a^{5} b}{3 x^{6}}-\frac{a^{6}}{7 x^{7}}\right) c^{5}"," ",0,"c^5*(2/3*a^5*b/x^6-a^4*b^2/x^5+b^6/x-1/7*a^6/x^7-2*a*b^5/x^2+5/3*a^2*b^4/x^3)","A"
40,1,62,59,0.005000," ","int((b*x+a)*(-b*c*x+a*c)^5/x^9,x)","\left(\frac{b^{6}}{2 x^{2}}-\frac{4 a \,b^{5}}{3 x^{3}}+\frac{5 a^{2} b^{4}}{4 x^{4}}-\frac{5 a^{4} b^{2}}{6 x^{6}}+\frac{4 a^{5} b}{7 x^{7}}-\frac{a^{6}}{8 x^{8}}\right) c^{5}"," ",0,"c^5*(-5/6*a^4*b^2/x^6+4/7*a^5*b/x^7+1/2*b^6/x^2-1/8*a^6/x^8-4/3*a*b^5/x^3+5/4*a^2*b^4/x^4)","A"
41,1,61,74,0.007000," ","int((b*x+a)*(-b*c*x+a*c)^5/x^10,x)","\left(\frac{b^{6}}{3 x^{3}}-\frac{a \,b^{5}}{x^{4}}+\frac{a^{2} b^{4}}{x^{5}}-\frac{5 a^{4} b^{2}}{7 x^{7}}+\frac{a^{5} b}{2 x^{8}}-\frac{a^{6}}{9 x^{9}}\right) c^{5}"," ",0,"c^5*(a^2*b^4/x^5-1/9*a^6/x^9-5/7*a^4*b^2/x^7+1/2*a^5*b/x^8+1/3*b^6/x^3-a*b^5/x^4)","A"
42,1,62,75,0.007000," ","int((b*x+a)*(-b*c*x+a*c)^5/x^11,x)","\left(\frac{b^{6}}{4 x^{4}}-\frac{4 a \,b^{5}}{5 x^{5}}+\frac{5 a^{2} b^{4}}{6 x^{6}}-\frac{5 a^{4} b^{2}}{8 x^{8}}+\frac{4 a^{5} b}{9 x^{9}}-\frac{a^{6}}{10 x^{10}}\right) c^{5}"," ",0,"c^5*(5/6*a^2*b^4/x^6+4/9*a^5*b/x^9-4/5*a*b^5/x^5-5/8*a^4*b^2/x^8-1/10*a^6/x^10+1/4*b^6/x^4)","A"
43,1,62,75,0.007000," ","int((b*x+a)*(-b*c*x+a*c)^5/x^12,x)","\left(\frac{b^{6}}{5 x^{5}}-\frac{2 a \,b^{5}}{3 x^{6}}+\frac{5 a^{2} b^{4}}{7 x^{7}}-\frac{5 a^{4} b^{2}}{9 x^{9}}+\frac{2 a^{5} b}{5 x^{10}}-\frac{a^{6}}{11 x^{11}}\right) c^{5}"," ",0,"c^5*(-2/3*a*b^5/x^6+1/5*b^6/x^5-1/11*a^6/x^11+2/5*a^5*b/x^10-5/9*a^4*b^2/x^9+5/7*a^2*b^4/x^7)","A"
44,1,102,101,0.007000," ","int((b*x+a)*(-b*c*x+a*c)^6/x^8,x)","b^{7} c^{6} \ln \left(x \right)+\frac{5 a \,b^{6} c^{6}}{x}-\frac{9 a^{2} b^{5} c^{6}}{2 x^{2}}+\frac{5 a^{3} b^{4} c^{6}}{3 x^{3}}+\frac{5 a^{4} b^{3} c^{6}}{4 x^{4}}-\frac{9 a^{5} b^{2} c^{6}}{5 x^{5}}+\frac{5 a^{6} b \,c^{6}}{6 x^{6}}-\frac{a^{7} c^{6}}{7 x^{7}}"," ",0,"-1/7*a^7*c^6/x^7+5/6*a^6*b*c^6/x^6-9/5*a^5*b^2*c^6/x^5+5/4*a^4*b^3*c^6/x^4+5/3*a^3*b^4*c^6/x^3-9/2*a^2*b^5*c^6/x^2+5*a*b^6*c^6/x+b^7*c^6*ln(x)","A"
45,1,83,37,0.007000," ","int((b*x+a)*(-b*c*x+a*c)^6/x^9,x)","\left(-\frac{b^{7}}{x}+\frac{5 a \,b^{6}}{2 x^{2}}-\frac{3 a^{2} b^{5}}{x^{3}}+\frac{5 a^{3} b^{4}}{4 x^{4}}+\frac{a^{4} b^{3}}{x^{5}}-\frac{3 a^{5} b^{2}}{2 x^{6}}+\frac{5 a^{6} b}{7 x^{7}}-\frac{a^{7}}{8 x^{8}}\right) c^{6}"," ",0,"c^6*(-3/2*a^5*b^2/x^6+a^4*b^3/x^5-b^7/x+5/2*a*b^6/x^2-1/8*a^7/x^8+5/7*a^6*b/x^7-3*a^2*b^5/x^3+5/4*a^3*b^4/x^4)","B"
46,1,83,59,0.005000," ","int((b*x+a)*(-b*c*x+a*c)^6/x^10,x)","\left(-\frac{b^{7}}{2 x^{2}}+\frac{5 a \,b^{6}}{3 x^{3}}-\frac{9 a^{2} b^{5}}{4 x^{4}}+\frac{a^{3} b^{4}}{x^{5}}+\frac{5 a^{4} b^{3}}{6 x^{6}}-\frac{9 a^{5} b^{2}}{7 x^{7}}+\frac{5 a^{6} b}{8 x^{8}}-\frac{a^{7}}{9 x^{9}}\right) c^{6}"," ",0,"c^6*(5/6*a^4*b^3/x^6+a^3*b^4/x^5-1/2*b^7/x^2+5/8*a^6*b/x^8-1/9*a^7/x^9-9/7*a^5*b^2/x^7+5/3*a*b^6/x^3-9/4*a^2*b^5/x^4)","A"
47,1,84,81,0.007000," ","int((b*x+a)*(-b*c*x+a*c)^6/x^11,x)","\left(-\frac{b^{7}}{3 x^{3}}+\frac{5 a \,b^{6}}{4 x^{4}}-\frac{9 a^{2} b^{5}}{5 x^{5}}+\frac{5 a^{3} b^{4}}{6 x^{6}}+\frac{5 a^{4} b^{3}}{7 x^{7}}-\frac{9 a^{5} b^{2}}{8 x^{8}}+\frac{5 a^{6} b}{9 x^{9}}-\frac{a^{7}}{10 x^{10}}\right) c^{6}"," ",0,"c^6*(5/6*a^3*b^4/x^6-9/5*a^2*b^5/x^5-9/8*a^5*b^2/x^8+5/7*a^4*b^3/x^7-1/3*b^7/x^3-1/10*a^7/x^10+5/4*a*b^6/x^4+5/9*a^6*b/x^9)","A"
48,1,83,102,0.007000," ","int((b*x+a)*(-b*c*x+a*c)^6/x^12,x)","\left(-\frac{b^{7}}{4 x^{4}}+\frac{a \,b^{6}}{x^{5}}-\frac{3 a^{2} b^{5}}{2 x^{6}}+\frac{5 a^{3} b^{4}}{7 x^{7}}+\frac{5 a^{4} b^{3}}{8 x^{8}}-\frac{a^{5} b^{2}}{x^{9}}+\frac{a^{6} b}{2 x^{10}}-\frac{a^{7}}{11 x^{11}}\right) c^{6}"," ",0,"c^6*(-3/2*a^2*b^5/x^6+a*b^6/x^5-a^5*b^2/x^9+5/7*a^3*b^4/x^7+1/2*a^6*b/x^10+5/8*a^4*b^3/x^8-1/11*a^7/x^11-1/4*b^7/x^4)","A"
49,1,84,103,0.007000," ","int((b*x+a)*(-b*c*x+a*c)^6/x^13,x)","\left(-\frac{b^{7}}{5 x^{5}}+\frac{5 a \,b^{6}}{6 x^{6}}-\frac{9 a^{2} b^{5}}{7 x^{7}}+\frac{5 a^{3} b^{4}}{8 x^{8}}+\frac{5 a^{4} b^{3}}{9 x^{9}}-\frac{9 a^{5} b^{2}}{10 x^{10}}+\frac{5 a^{6} b}{11 x^{11}}-\frac{a^{7}}{12 x^{12}}\right) c^{6}"," ",0,"c^6*(-1/12*a^7/x^12+5/6*a*b^6/x^6-1/5*b^7/x^5+5/9*a^4*b^3/x^9-9/7*a^2*b^5/x^7-9/10*a^5*b^2/x^10+5/11*a^6*b/x^11+5/8*a^3*b^4/x^8)","A"
50,1,83,74,0.020000," ","int((e*x)^(5/2)/(b*x+a)/(-b*c*x+a*c),x)","\frac{a^{2} e^{3} \arctanh \left(\frac{\sqrt{e x}\, b}{\sqrt{a b e}}\right)}{\sqrt{a b e}\, b^{3} c}-\frac{a^{2} e^{3} \arctan \left(\frac{\sqrt{e x}\, b}{\sqrt{a b e}}\right)}{\sqrt{a b e}\, b^{3} c}-\frac{2 \left(e x \right)^{\frac{3}{2}} e}{3 b^{2} c}"," ",0,"-2/3*e*(e*x)^(3/2)/b^2/c-1/c*e^3/b^3*a^2/(a*e*b)^(1/2)*arctan((e*x)^(1/2)*b/(a*e*b)^(1/2))+1/c*e^3/b^3*a^2/(a*e*b)^(1/2)*arctanh((e*x)^(1/2)*b/(a*e*b)^(1/2))","A"
51,1,78,73,0.011000," ","int((e*x)^(3/2)/(b*x+a)/(-b*c*x+a*c),x)","\frac{a \,e^{2} \arctanh \left(\frac{\sqrt{e x}\, b}{\sqrt{a b e}}\right)}{\sqrt{a b e}\, b^{2} c}+\frac{a \,e^{2} \arctan \left(\frac{\sqrt{e x}\, b}{\sqrt{a b e}}\right)}{\sqrt{a b e}\, b^{2} c}-\frac{2 \sqrt{e x}\, e}{b^{2} c}"," ",0,"-2*e*(e*x)^(1/2)/b^2/c+1/c*e^2/b^2*a/(a*b*e)^(1/2)*arctan((e*x)^(1/2)/(a*b*e)^(1/2)*b)+1/c*e^2/b^2*a/(a*b*e)^(1/2)*arctanh((e*x)^(1/2)/(a*b*e)^(1/2)*b)","A"
52,1,59,60,0.012000," ","int((e*x)^(1/2)/(b*x+a)/(-b*c*x+a*c),x)","\frac{e \arctanh \left(\frac{\sqrt{e x}\, b}{\sqrt{a b e}}\right)}{\sqrt{a b e}\, b c}-\frac{e \arctan \left(\frac{\sqrt{e x}\, b}{\sqrt{a b e}}\right)}{\sqrt{a b e}\, b c}"," ",0,"-1/c*e/b/(a*b*e)^(1/2)*arctan((e*x)^(1/2)/(a*b*e)^(1/2)*b)+1/c*e/b/(a*b*e)^(1/2)*arctanh((e*x)^(1/2)/(a*b*e)^(1/2)*b)","A"
53,1,56,59,0.013000," ","int(1/(e*x)^(1/2)/(b*x+a)/(-b*c*x+a*c),x)","\frac{\arctanh \left(\frac{\sqrt{e x}\, b}{\sqrt{a b e}}\right)}{\sqrt{a b e}\, a c}+\frac{\arctan \left(\frac{\sqrt{e x}\, b}{\sqrt{a b e}}\right)}{\sqrt{a b e}\, a c}"," ",0,"1/c/a/(a*b*e)^(1/2)*arctan((e*x)^(1/2)/(a*b*e)^(1/2)*b)+1/c/a/(a*b*e)^(1/2)*arctanh((e*x)^(1/2)/(a*b*e)^(1/2)*b)","A"
54,1,81,76,0.014000," ","int(1/(e*x)^(3/2)/(b*x+a)/(-b*c*x+a*c),x)","\frac{b \arctanh \left(\frac{\sqrt{e x}\, b}{\sqrt{a b e}}\right)}{\sqrt{a b e}\, a^{2} c e}-\frac{b \arctan \left(\frac{\sqrt{e x}\, b}{\sqrt{a b e}}\right)}{\sqrt{a b e}\, a^{2} c e}-\frac{2}{\sqrt{e x}\, a^{2} c e}"," ",0,"-1/c/e/a^2*b/(a*b*e)^(1/2)*arctan((e*x)^(1/2)/(a*b*e)^(1/2)*b)-2/a^2/c/e/(e*x)^(1/2)+1/c/e/a^2*b/(a*b*e)^(1/2)*arctanh((e*x)^(1/2)/(a*b*e)^(1/2)*b)","A"
55,1,84,75,0.015000," ","int(1/(e*x)^(5/2)/(b*x+a)/(-b*c*x+a*c),x)","\frac{b^{2} \arctanh \left(\frac{\sqrt{e x}\, b}{\sqrt{a b e}}\right)}{\sqrt{a b e}\, a^{3} c \,e^{2}}+\frac{b^{2} \arctan \left(\frac{\sqrt{e x}\, b}{\sqrt{a b e}}\right)}{\sqrt{a b e}\, a^{3} c \,e^{2}}-\frac{2}{3 \left(e x \right)^{\frac{3}{2}} a^{2} c e}"," ",0,"1/c/e^2/a^3*b^2/(a*b*e)^(1/2)*arctan((e*x)^(1/2)/(a*b*e)^(1/2)*b)+1/c/e^2/a^3*b^2/(a*b*e)^(1/2)*arctanh((e*x)^(1/2)/(a*b*e)^(1/2)*b)-2/3/a^2/c/e/(e*x)^(3/2)","A"
56,1,631,156,0.006000," ","int((e*x)^m*(-2*a*x+2)^3*(a*x+1)^4,x)","-\frac{8 \left(a^{7} m^{7} x^{7}+28 a^{7} m^{6} x^{7}+322 a^{7} m^{5} x^{7}+a^{6} m^{7} x^{6}+1960 a^{7} m^{4} x^{7}+29 a^{6} m^{6} x^{6}+6769 a^{7} m^{3} x^{7}+343 a^{6} m^{5} x^{6}-3 a^{5} m^{7} x^{5}+13132 a^{7} m^{2} x^{7}+2135 a^{6} m^{4} x^{6}-90 a^{5} m^{6} x^{5}+13068 a^{7} m \,x^{7}+7504 a^{6} m^{3} x^{6}-1098 a^{5} m^{5} x^{5}-3 a^{4} m^{7} x^{4}+5040 a^{7} x^{7}+14756 a^{6} m^{2} x^{6}-7020 a^{5} m^{4} x^{5}-93 a^{4} m^{6} x^{4}+14832 a^{6} m \,x^{6}-25227 a^{5} m^{3} x^{5}-1173 a^{4} m^{5} x^{4}+3 a^{3} m^{7} x^{3}+5760 a^{6} x^{6}-50490 a^{5} m^{2} x^{5}-7743 a^{4} m^{4} x^{4}+96 a^{3} m^{6} x^{3}-51432 a^{5} m \,x^{5}-28632 a^{4} m^{3} x^{4}+1254 a^{3} m^{5} x^{3}+3 a^{2} m^{7} x^{2}-20160 a^{5} x^{5}-58692 a^{4} m^{2} x^{4}+8592 a^{3} m^{4} x^{3}+99 a^{2} m^{6} x^{2}-60912 a^{4} m \,x^{4}+32979 a^{3} m^{3} x^{3}+1341 a^{2} m^{5} x^{2}-a \,m^{7} x -24192 a^{4} x^{4}+69936 a^{3} m^{2} x^{3}+9585 a^{2} m^{4} x^{2}-34 a \,m^{6} x +74628 a^{3} m \,x^{3}+38592 a^{2} m^{3} x^{2}-478 a \,m^{5} x -m^{7}+30240 a^{3} x^{3}+86076 a^{2} m^{2} x^{2}-3580 a \,m^{4} x -35 m^{6}+96144 a^{2} m \,x^{2}-15289 a \,m^{3} x -511 m^{5}+40320 a^{2} x^{2}-36706 a \,m^{2} x -4025 m^{4}-44712 a m x -18424 m^{3}-20160 a x -48860 m^{2}-69264 m -40320\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,"-8*(e*x)^m*(a^7*m^7*x^7+28*a^7*m^6*x^7+322*a^7*m^5*x^7+a^6*m^7*x^6+1960*a^7*m^4*x^7+29*a^6*m^6*x^6+6769*a^7*m^3*x^7+343*a^6*m^5*x^6-3*a^5*m^7*x^5+13132*a^7*m^2*x^7+2135*a^6*m^4*x^6-90*a^5*m^6*x^5+13068*a^7*m*x^7+7504*a^6*m^3*x^6-1098*a^5*m^5*x^5-3*a^4*m^7*x^4+5040*a^7*x^7+14756*a^6*m^2*x^6-7020*a^5*m^4*x^5-93*a^4*m^6*x^4+14832*a^6*m*x^6-25227*a^5*m^3*x^5-1173*a^4*m^5*x^4+3*a^3*m^7*x^3+5760*a^6*x^6-50490*a^5*m^2*x^5-7743*a^4*m^4*x^4+96*a^3*m^6*x^3-51432*a^5*m*x^5-28632*a^4*m^3*x^4+1254*a^3*m^5*x^3+3*a^2*m^7*x^2-20160*a^5*x^5-58692*a^4*m^2*x^4+8592*a^3*m^4*x^3+99*a^2*m^6*x^2-60912*a^4*m*x^4+32979*a^3*m^3*x^3+1341*a^2*m^5*x^2-a*m^7*x-24192*a^4*x^4+69936*a^3*m^2*x^3+9585*a^2*m^4*x^2-34*a*m^6*x+74628*a^3*m*x^3+38592*a^2*m^3*x^2-478*a*m^5*x-m^7+30240*a^3*x^3+86076*a^2*m^2*x^2-3580*a*m^4*x-35*m^6+96144*a^2*m*x^2-15289*a*m^3*x-511*m^5+40320*a^2*x^2-36706*a*m^2*x-4025*m^4-44712*a*m*x-18424*m^3-20160*a*x-48860*m^2-69264*m-40320)*x/(m+8)/(m+7)/(m+6)/(m+5)/(m+4)/(m+3)/(m+2)/(m+1)","B"
57,1,340,116,0.007000," ","int((e*x)^m*(-2*a*x+2)^2*(a*x+1)^3,x)","\frac{4 \left(a^{5} m^{5} x^{5}+15 a^{5} m^{4} x^{5}+85 a^{5} m^{3} x^{5}+a^{4} m^{5} x^{4}+225 a^{5} m^{2} x^{5}+16 a^{4} m^{4} x^{4}+274 a^{5} m \,x^{5}+95 a^{4} m^{3} x^{4}-2 a^{3} m^{5} x^{3}+120 a^{5} x^{5}+260 a^{4} m^{2} x^{4}-34 a^{3} m^{4} x^{3}+324 a^{4} m \,x^{4}-214 a^{3} m^{3} x^{3}-2 a^{2} m^{5} x^{2}+144 a^{4} x^{4}-614 a^{3} m^{2} x^{3}-36 a^{2} m^{4} x^{2}-792 a^{3} m \,x^{3}-242 a^{2} m^{3} x^{2}+a \,m^{5} x -360 a^{3} x^{3}-744 a^{2} m^{2} x^{2}+19 a \,m^{4} x -1016 a^{2} m \,x^{2}+137 a \,m^{3} x +m^{5}-480 a^{2} x^{2}+461 a \,m^{2} x +20 m^{4}+702 a m x +155 m^{3}+360 a x +580 m^{2}+1044 m +720\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,"4*(e*x)^m*(a^5*m^5*x^5+15*a^5*m^4*x^5+85*a^5*m^3*x^5+a^4*m^5*x^4+225*a^5*m^2*x^5+16*a^4*m^4*x^4+274*a^5*m*x^5+95*a^4*m^3*x^4-2*a^3*m^5*x^3+120*a^5*x^5+260*a^4*m^2*x^4-34*a^3*m^4*x^3+324*a^4*m*x^4-214*a^3*m^3*x^3-2*a^2*m^5*x^2+144*a^4*x^4-614*a^3*m^2*x^3-36*a^2*m^4*x^2-792*a^3*m*x^3-242*a^2*m^3*x^2+a*m^5*x-360*a^3*x^3-744*a^2*m^2*x^2+19*a*m^4*x-1016*a^2*m*x^2+137*a*m^3*x+m^5-480*a^2*x^2+461*a*m^2*x+20*m^4+702*a*m*x+155*m^3+360*a*x+580*m^2+1044*m+720)*x/(m+6)/(m+5)/(m+4)/(m+3)/(m+2)/(m+1)","B"
58,1,143,76,0.005000," ","int((e*x)^m*(-2*a*x+2)*(a*x+1)^2,x)","-\frac{2 \left(a^{3} m^{3} x^{3}+6 a^{3} m^{2} x^{3}+11 a^{3} m \,x^{3}+a^{2} m^{3} x^{2}+6 a^{3} x^{3}+7 a^{2} m^{2} x^{2}+14 a^{2} m \,x^{2}-a \,m^{3} x +8 a^{2} x^{2}-8 a \,m^{2} x -19 a m x -m^{3}-12 a x -9 m^{2}-26 m -24\right) x \left(e x \right)^{m}}{\left(m +4\right) \left(m +3\right) \left(m +2\right) \left(m +1\right)}"," ",0,"-2*(e*x)^m*(a^3*m^3*x^3+6*a^3*m^2*x^3+11*a^3*m*x^3+a^2*m^3*x^2+6*a^3*x^3+7*a^2*m^2*x^2+14*a^2*m*x^2-a*m^3*x+8*a^2*x^2-8*a*m^2*x-19*a*m*x-m^3-12*a*x-9*m^2-26*m-24)*x/(m+4)/(m+3)/(m+2)/(m+1)","A"
59,0,0,78,0.107000," ","int((e*x)^m/(-2*a*x+2)^2/(a*x+1),x)","\int \frac{\left(e x \right)^{m}}{\left(-2 a x +2\right)^{2} \left(a x +1\right)}\, dx"," ",0,"int((e*x)^m/(-2*a*x+2)^2/(a*x+1),x)","F"
60,0,0,78,0.100000," ","int((e*x)^m/(-2*a*x+2)^3/(a*x+1)^2,x)","\int \frac{\left(e x \right)^{m}}{\left(-2 a x +2\right)^{3} \left(a x +1\right)^{2}}\, dx"," ",0,"int((e*x)^m/(-2*a*x+2)^3/(a*x+1)^2,x)","F"
61,0,0,78,0.118000," ","int((e*x)^m/(-2*a*x+2)^4/(a*x+1)^3,x)","\int \frac{\left(e x \right)^{m}}{\left(-2 a x +2\right)^{4} \left(a x +1\right)^{3}}\, dx"," ",0,"int((e*x)^m/(-2*a*x+2)^4/(a*x+1)^3,x)","F"
62,1,786,197,0.010000," ","int((e*x)^m*(b*x+a)^4*(-b*d*x+a*d)^3,x)","\frac{\left(-b^{7} m^{7} x^{7}-a \,b^{6} m^{7} x^{6}-28 b^{7} m^{6} x^{7}+3 a^{2} b^{5} m^{7} x^{5}-29 a \,b^{6} m^{6} x^{6}-322 b^{7} m^{5} x^{7}+3 a^{3} b^{4} m^{7} x^{4}+90 a^{2} b^{5} m^{6} x^{5}-343 a \,b^{6} m^{5} x^{6}-1960 b^{7} m^{4} x^{7}-3 a^{4} b^{3} m^{7} x^{3}+93 a^{3} b^{4} m^{6} x^{4}+1098 a^{2} b^{5} m^{5} x^{5}-2135 a \,b^{6} m^{4} x^{6}-6769 b^{7} m^{3} x^{7}-3 a^{5} b^{2} m^{7} x^{2}-96 a^{4} b^{3} m^{6} x^{3}+1173 a^{3} b^{4} m^{5} x^{4}+7020 a^{2} b^{5} m^{4} x^{5}-7504 a \,b^{6} m^{3} x^{6}-13132 b^{7} m^{2} x^{7}+a^{6} b \,m^{7} x -99 a^{5} b^{2} m^{6} x^{2}-1254 a^{4} b^{3} m^{5} x^{3}+7743 a^{3} b^{4} m^{4} x^{4}+25227 a^{2} b^{5} m^{3} x^{5}-14756 a \,b^{6} m^{2} x^{6}-13068 b^{7} m \,x^{7}+a^{7} m^{7}+34 a^{6} b \,m^{6} x -1341 a^{5} b^{2} m^{5} x^{2}-8592 a^{4} b^{3} m^{4} x^{3}+28632 a^{3} b^{4} m^{3} x^{4}+50490 a^{2} b^{5} m^{2} x^{5}-14832 a \,b^{6} m \,x^{6}-5040 b^{7} x^{7}+35 a^{7} m^{6}+478 a^{6} b \,m^{5} x -9585 a^{5} b^{2} m^{4} x^{2}-32979 a^{4} b^{3} m^{3} x^{3}+58692 a^{3} b^{4} m^{2} x^{4}+51432 a^{2} b^{5} m \,x^{5}-5760 a \,b^{6} x^{6}+511 a^{7} m^{5}+3580 a^{6} b \,m^{4} x -38592 a^{5} b^{2} m^{3} x^{2}-69936 a^{4} b^{3} m^{2} x^{3}+60912 a^{3} b^{4} m \,x^{4}+20160 a^{2} b^{5} x^{5}+4025 a^{7} m^{4}+15289 a^{6} b \,m^{3} x -86076 a^{5} b^{2} m^{2} x^{2}-74628 a^{4} b^{3} m \,x^{3}+24192 a^{3} b^{4} x^{4}+18424 a^{7} m^{3}+36706 a^{6} b \,m^{2} x -96144 a^{5} b^{2} m \,x^{2}-30240 a^{4} b^{3} x^{3}+48860 a^{7} m^{2}+44712 a^{6} b m x -40320 a^{5} b^{2} x^{2}+69264 a^{7} m +20160 a^{6} b x +40320 a^{7}\right) d^{3} 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,"d^3*(e*x)^m*(-b^7*m^7*x^7-a*b^6*m^7*x^6-28*b^7*m^6*x^7+3*a^2*b^5*m^7*x^5-29*a*b^6*m^6*x^6-322*b^7*m^5*x^7+3*a^3*b^4*m^7*x^4+90*a^2*b^5*m^6*x^5-343*a*b^6*m^5*x^6-1960*b^7*m^4*x^7-3*a^4*b^3*m^7*x^3+93*a^3*b^4*m^6*x^4+1098*a^2*b^5*m^5*x^5-2135*a*b^6*m^4*x^6-6769*b^7*m^3*x^7-3*a^5*b^2*m^7*x^2-96*a^4*b^3*m^6*x^3+1173*a^3*b^4*m^5*x^4+7020*a^2*b^5*m^4*x^5-7504*a*b^6*m^3*x^6-13132*b^7*m^2*x^7+a^6*b*m^7*x-99*a^5*b^2*m^6*x^2-1254*a^4*b^3*m^5*x^3+7743*a^3*b^4*m^4*x^4+25227*a^2*b^5*m^3*x^5-14756*a*b^6*m^2*x^6-13068*b^7*m*x^7+a^7*m^7+34*a^6*b*m^6*x-1341*a^5*b^2*m^5*x^2-8592*a^4*b^3*m^4*x^3+28632*a^3*b^4*m^3*x^4+50490*a^2*b^5*m^2*x^5-14832*a*b^6*m*x^6-5040*b^7*x^7+35*a^7*m^6+478*a^6*b*m^5*x-9585*a^5*b^2*m^4*x^2-32979*a^4*b^3*m^3*x^3+58692*a^3*b^4*m^2*x^4+51432*a^2*b^5*m*x^5-5760*a*b^6*x^6+511*a^7*m^5+3580*a^6*b*m^4*x-38592*a^5*b^2*m^3*x^2-69936*a^4*b^3*m^2*x^3+60912*a^3*b^4*m*x^4+20160*a^2*b^5*x^5+4025*a^7*m^4+15289*a^6*b*m^3*x-86076*a^5*b^2*m^2*x^2-74628*a^4*b^3*m*x^3+24192*a^3*b^4*x^4+18424*a^7*m^3+36706*a^6*b*m^2*x-96144*a^5*b^2*m*x^2-30240*a^4*b^3*x^3+48860*a^7*m^2+44712*a^6*b*m*x-40320*a^5*b^2*x^2+69264*a^7*m+20160*a^6*b*x+40320*a^7)*x/(m+8)/(m+7)/(m+6)/(m+5)/(m+4)/(m+3)/(m+2)/(m+1)","B"
63,1,422,143,0.008000," ","int((e*x)^m*(b*x+a)^3*(-b*d*x+a*d)^2,x)","\frac{\left(b^{5} m^{5} x^{5}+a \,b^{4} m^{5} x^{4}+15 b^{5} m^{4} x^{5}-2 a^{2} b^{3} m^{5} x^{3}+16 a \,b^{4} m^{4} x^{4}+85 b^{5} m^{3} x^{5}-2 a^{3} b^{2} m^{5} x^{2}-34 a^{2} b^{3} m^{4} x^{3}+95 a \,b^{4} m^{3} x^{4}+225 b^{5} m^{2} x^{5}+a^{4} b \,m^{5} x -36 a^{3} b^{2} m^{4} x^{2}-214 a^{2} b^{3} m^{3} x^{3}+260 a \,b^{4} m^{2} x^{4}+274 b^{5} m \,x^{5}+a^{5} m^{5}+19 a^{4} b \,m^{4} x -242 a^{3} b^{2} m^{3} x^{2}-614 a^{2} b^{3} m^{2} x^{3}+324 a \,b^{4} m \,x^{4}+120 b^{5} x^{5}+20 a^{5} m^{4}+137 a^{4} b \,m^{3} x -744 a^{3} b^{2} m^{2} x^{2}-792 a^{2} b^{3} m \,x^{3}+144 a \,b^{4} x^{4}+155 a^{5} m^{3}+461 a^{4} b \,m^{2} x -1016 a^{3} b^{2} m \,x^{2}-360 a^{2} b^{3} x^{3}+580 a^{5} m^{2}+702 a^{4} b m x -480 a^{3} b^{2} x^{2}+1044 a^{5} m +360 a^{4} b x +720 a^{5}\right) d^{2} 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,"d^2*(e*x)^m*(b^5*m^5*x^5+a*b^4*m^5*x^4+15*b^5*m^4*x^5-2*a^2*b^3*m^5*x^3+16*a*b^4*m^4*x^4+85*b^5*m^3*x^5-2*a^3*b^2*m^5*x^2-34*a^2*b^3*m^4*x^3+95*a*b^4*m^3*x^4+225*b^5*m^2*x^5+a^4*b*m^5*x-36*a^3*b^2*m^4*x^2-214*a^2*b^3*m^3*x^3+260*a*b^4*m^2*x^4+274*b^5*m*x^5+a^5*m^5+19*a^4*b*m^4*x-242*a^3*b^2*m^3*x^2-614*a^2*b^3*m^2*x^3+324*a*b^4*m*x^4+120*b^5*x^5+20*a^5*m^4+137*a^4*b*m^3*x-744*a^3*b^2*m^2*x^2-792*a^2*b^3*m*x^3+144*a*b^4*x^4+155*a^5*m^3+461*a^4*b*m^2*x-1016*a^3*b^2*m*x^2-360*a^2*b^3*x^3+580*a^5*m^2+702*a^4*b*m*x-480*a^3*b^2*x^2+1044*a^5*m+360*a^4*b*x+720*a^5)*x/(m+6)/(m+5)/(m+4)/(m+3)/(m+2)/(m+1)","B"
64,1,172,85,0.006000," ","int((e*x)^m*(b*x+a)^2*(-b*d*x+a*d),x)","\frac{\left(-b^{3} m^{3} x^{3}-a \,b^{2} m^{3} x^{2}-6 b^{3} m^{2} x^{3}+a^{2} b \,m^{3} x -7 a \,b^{2} m^{2} x^{2}-11 b^{3} m \,x^{3}+a^{3} m^{3}+8 a^{2} b \,m^{2} x -14 a \,b^{2} m \,x^{2}-6 b^{3} x^{3}+9 a^{3} m^{2}+19 a^{2} b m x -8 a \,b^{2} x^{2}+26 a^{3} m +12 a^{2} b x +24 a^{3}\right) d x \left(e x \right)^{m}}{\left(m +4\right) \left(m +3\right) \left(m +2\right) \left(m +1\right)}"," ",0,"d*(e*x)^m*(-b^3*m^3*x^3-a*b^2*m^3*x^2-6*b^3*m^2*x^3+a^2*b*m^3*x-7*a*b^2*m^2*x^2-11*b^3*m*x^3+a^3*m^3+8*a^2*b*m^2*x-14*a*b^2*m*x^2-6*b^3*x^3+9*a^3*m^2+19*a^2*b*m*x-8*a*b^2*x^2+26*a^3*m+12*a^2*b*x+24*a^3)*x/(m+4)/(m+3)/(m+2)/(m+1)","B"
65,0,0,94,0.112000," ","int((e*x)^m/(b*x+a)/(-b*d*x+a*d)^2,x)","\int \frac{\left(e x \right)^{m}}{\left(b x +a \right) \left(-b d x +a d \right)^{2}}\, dx"," ",0,"int((e*x)^m/(b*x+a)/(-b*d*x+a*d)^2,x)","F"
66,0,0,94,0.111000," ","int((e*x)^m/(b*x+a)^2/(-b*d*x+a*d)^3,x)","\int \frac{\left(e x \right)^{m}}{\left(b x +a \right)^{2} \left(-b d x +a d \right)^{3}}\, dx"," ",0,"int((e*x)^m/(b*x+a)^2/(-b*d*x+a*d)^3,x)","F"
67,0,0,94,0.123000," ","int((e*x)^m/(b*x+a)^3/(-b*d*x+a*d)^4,x)","\int \frac{\left(e x \right)^{m}}{\left(b x +a \right)^{3} \left(-b d x +a d \right)^{4}}\, dx"," ",0,"int((e*x)^m/(b*x+a)^3/(-b*d*x+a*d)^4,x)","F"
68,1,424,145,0.006000," ","int((e*x)^m*(b*x+a)*(-b*c*x+a*c)^4,x)","\frac{\left(b^{5} m^{5} x^{5}-3 a \,b^{4} m^{5} x^{4}+15 b^{5} m^{4} x^{5}+2 a^{2} b^{3} m^{5} x^{3}-48 a \,b^{4} m^{4} x^{4}+85 b^{5} m^{3} x^{5}+2 a^{3} b^{2} m^{5} x^{2}+34 a^{2} b^{3} m^{4} x^{3}-285 a \,b^{4} m^{3} x^{4}+225 b^{5} m^{2} x^{5}-3 a^{4} b \,m^{5} x +36 a^{3} b^{2} m^{4} x^{2}+214 a^{2} b^{3} m^{3} x^{3}-780 a \,b^{4} m^{2} x^{4}+274 b^{5} m \,x^{5}+a^{5} m^{5}-57 a^{4} b \,m^{4} x +242 a^{3} b^{2} m^{3} x^{2}+614 a^{2} b^{3} m^{2} x^{3}-972 a \,b^{4} m \,x^{4}+120 b^{5} x^{5}+20 a^{5} m^{4}-411 a^{4} b \,m^{3} x +744 a^{3} b^{2} m^{2} x^{2}+792 a^{2} b^{3} m \,x^{3}-432 a \,b^{4} x^{4}+155 a^{5} m^{3}-1383 a^{4} b \,m^{2} x +1016 a^{3} b^{2} m \,x^{2}+360 a^{2} b^{3} x^{3}+580 a^{5} m^{2}-2106 a^{4} b m x +480 a^{3} b^{2} x^{2}+1044 a^{5} m -1080 a^{4} b x +720 a^{5}\right) c^{4} 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,"c^4*(e*x)^m*(b^5*m^5*x^5-3*a*b^4*m^5*x^4+15*b^5*m^4*x^5+2*a^2*b^3*m^5*x^3-48*a*b^4*m^4*x^4+85*b^5*m^3*x^5+2*a^3*b^2*m^5*x^2+34*a^2*b^3*m^4*x^3-285*a*b^4*m^3*x^4+225*b^5*m^2*x^5-3*a^4*b*m^5*x+36*a^3*b^2*m^4*x^2+214*a^2*b^3*m^3*x^3-780*a*b^4*m^2*x^4+274*b^5*m*x^5+a^5*m^5-57*a^4*b*m^4*x+242*a^3*b^2*m^3*x^2+614*a^2*b^3*m^2*x^3-972*a*b^4*m*x^4+120*b^5*x^5+20*a^5*m^4-411*a^4*b*m^3*x+744*a^3*b^2*m^2*x^2+792*a^2*b^3*m*x^3-432*a*b^4*x^4+155*a^5*m^3-1383*a^4*b*m^2*x+1016*a^3*b^2*m*x^2+360*a^2*b^3*x^3+580*a^5*m^2-2106*a^4*b*m*x+480*a^3*b^2*x^2+1044*a^5*m-1080*a^4*b*x+720*a^5)*x/(m+6)/(m+5)/(m+4)/(m+3)/(m+2)/(m+1)","B"
69,1,175,94,0.008000," ","int((e*x)^m*(b*x+a)*(-b*c*x+a*c)^3,x)","\frac{\left(-b^{4} m^{3} x^{4}+2 a \,b^{3} m^{3} x^{3}-7 b^{4} m^{2} x^{4}+16 a \,b^{3} m^{2} x^{3}-14 b^{4} m \,x^{4}-2 a^{3} b \,m^{3} x +34 a \,b^{3} m \,x^{3}-8 b^{4} x^{4}+a^{4} m^{3}-20 a^{3} b \,m^{2} x +20 a \,b^{3} x^{3}+11 a^{4} m^{2}-58 a^{3} b m x +38 a^{4} m -40 a^{3} b x +40 a^{4}\right) c^{3} x \left(e x \right)^{m}}{\left(m +5\right) \left(m +4\right) \left(m +2\right) \left(m +1\right)}"," ",0,"c^3*(e*x)^m*(-b^4*m^3*x^4+2*a*b^3*m^3*x^3-7*b^4*m^2*x^4+16*a*b^3*m^2*x^3-14*b^4*m*x^4-2*a^3*b*m^3*x+34*a*b^3*m*x^3-8*b^4*x^4+a^4*m^3-20*a^3*b*m^2*x+20*a*b^3*x^3+11*a^4*m^2-58*a^3*b*m*x+38*a^4*m-40*a^3*b*x+40*a^4)*x/(m+5)/(m+4)/(m+2)/(m+1)","A"
70,1,174,93,0.007000," ","int((e*x)^m*(b*x+a)*(-b*c*x+a*c)^2,x)","\frac{\left(b^{3} m^{3} x^{3}-a \,b^{2} m^{3} x^{2}+6 b^{3} m^{2} x^{3}-a^{2} b \,m^{3} x -7 a \,b^{2} m^{2} x^{2}+11 b^{3} m \,x^{3}+a^{3} m^{3}-8 a^{2} b \,m^{2} x -14 a \,b^{2} m \,x^{2}+6 b^{3} x^{3}+9 a^{3} m^{2}-19 a^{2} b m x -8 a \,b^{2} x^{2}+26 a^{3} m -12 a^{2} b x +24 a^{3}\right) c^{2} x \left(e x \right)^{m}}{\left(m +4\right) \left(m +3\right) \left(m +2\right) \left(m +1\right)}"," ",0,"c^2*(e*x)^m*(b^3*m^3*x^3-a*b^2*m^3*x^2+6*b^3*m^2*x^3-a^2*b*m^3*x-7*a*b^2*m^2*x^2+11*b^3*m*x^3+a^3*m^3-8*a^2*b*m^2*x-14*a*b^2*m*x^2+6*b^3*x^3+9*a^3*m^2-19*a^2*b*m*x-8*a*b^2*x^2+26*a^3*m-12*a^2*b*x+24*a^3)*x/(m+4)/(m+3)/(m+2)/(m+1)","A"
71,1,47,42,0.003000," ","int((e*x)^m*(b*x+a)*(-b*c*x+a*c),x)","\frac{\left(-b^{2} m \,x^{2}-b^{2} x^{2}+a^{2} m +3 a^{2}\right) c x \left(e x \right)^{m}}{\left(m +3\right) \left(m +1\right)}"," ",0,"c*(e*x)^m*(-b^2*m*x^2-b^2*x^2+a^2*m+3*a^2)*x/(m+3)/(m+1)","A"
72,0,0,57,0.102000," ","int((e*x)^m*(b*x+a)/(-b*c*x+a*c),x)","\int \frac{\left(b x +a \right) \left(e x \right)^{m}}{-b c x +a c}\, dx"," ",0,"int((e*x)^m*(b*x+a)/(-b*c*x+a*c),x)","F"
73,0,0,68,0.098000," ","int((e*x)^m*(b*x+a)/(-b*c*x+a*c)^2,x)","\int \frac{\left(b x +a \right) \left(e x \right)^{m}}{\left(-b c x +a c \right)^{2}}\, dx"," ",0,"int((e*x)^m*(b*x+a)/(-b*c*x+a*c)^2,x)","F"
74,0,0,109,0.099000," ","int((e*x)^m*(-b*c*x+a*c)^3/(b*x+a),x)","\int \frac{\left(-b c x +a c \right)^{3} \left(e x \right)^{m}}{b x +a}\, dx"," ",0,"int((e*x)^m*(-b*c*x+a*c)^3/(b*x+a),x)","F"
75,0,0,80,0.104000," ","int((e*x)^m*(-b*c*x+a*c)^2/(b*x+a),x)","\int \frac{\left(-b c x +a c \right)^{2} \left(e x \right)^{m}}{b x +a}\, dx"," ",0,"int((e*x)^m*(-b*c*x+a*c)^2/(b*x+a),x)","F"
76,0,0,54,0.129000," ","int((e*x)^m*(-b*c*x+a*c)/(b*x+a),x)","\int \frac{\left(-b c x +a c \right) \left(e x \right)^{m}}{b x +a}\, dx"," ",0,"int((e*x)^m*(-b*c*x+a*c)/(b*x+a),x)","F"
77,0,0,46,0.108000," ","int((e*x)^m/(b*x+a)/(-b*c*x+a*c),x)","\int \frac{\left(e x \right)^{m}}{\left(b x +a \right) \left(-b c x +a c \right)}\, dx"," ",0,"int((e*x)^m/(b*x+a)/(-b*c*x+a*c),x)","F"
78,0,0,94,0.109000," ","int((e*x)^m/(b*x+a)/(-b*c*x+a*c)^2,x)","\int \frac{\left(e x \right)^{m}}{\left(b x +a \right) \left(-b c x +a c \right)^{2}}\, dx"," ",0,"int((e*x)^m/(b*x+a)/(-b*c*x+a*c)^2,x)","F"
79,0,0,147,0.110000," ","int((e*x)^m/(b*x+a)/(-b*c*x+a*c)^3,x)","\int \frac{\left(e x \right)^{m}}{\left(b x +a \right) \left(-b c x +a c \right)^{3}}\, dx"," ",0,"int((e*x)^m/(b*x+a)/(-b*c*x+a*c)^3,x)","F"
80,1,28,27,0.001000," ","int(x^4*(b*x+a)*(B*x+A),x)","\frac{B b \,x^{7}}{7}+\frac{A a \,x^{5}}{5}+\frac{\left(A b +B a \right) x^{6}}{6}"," ",0,"1/5*a*A*x^5+1/6*(A*b+B*a)*x^6+1/7*b*B*x^7","A"
81,1,28,27,0.001000," ","int(x^3*(b*x+a)*(B*x+A),x)","\frac{B b \,x^{6}}{6}+\frac{A a \,x^{4}}{4}+\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*b*B*x^6","A"
82,1,28,27,0.000000," ","int(x^2*(b*x+a)*(B*x+A),x)","\frac{B b \,x^{5}}{5}+\frac{A a \,x^{3}}{3}+\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*b*B*x^5","A"
83,1,28,27,0.002000," ","int(x*(b*x+a)*(B*x+A),x)","\frac{B b \,x^{4}}{4}+\frac{A a \,x^{2}}{2}+\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*b*B*x^4","A"
84,1,25,24,0.000000," ","int((b*x+a)*(B*x+A),x)","\frac{B b \,x^{3}}{3}+A a x +\frac{\left(A b +B a \right) x^{2}}{2}"," ",0,"a*A*x+1/2*(A*b+B*a)*x^2+1/3*b*B*x^3","A"
85,1,22,22,0.002000," ","int((b*x+a)*(B*x+A)/x,x)","\frac{B b \,x^{2}}{2}+A a \ln \left(x \right)+A b x +B a x"," ",0,"1/2*b*B*x^2+A*b*x+B*a*x+a*A*ln(x)","A"
86,1,23,22,0.007000," ","int((b*x+a)*(B*x+A)/x^2,x)","A b \ln \left(x \right)+B a \ln \left(x \right)+B b x -\frac{A a}{x}"," ",0,"b*B*x-a*A/x+A*ln(x)*b+B*ln(x)*a","A"
87,1,28,26,0.006000," ","int((b*x+a)*(B*x+A)/x^3,x)","B b \ln \left(x \right)-\frac{A b}{x}-\frac{B a}{x}-\frac{A a}{2 x^{2}}"," ",0,"-1/x*A*b-1/x*B*a+b*B*ln(x)-1/2*a*A/x^2","A"
88,1,28,29,0.004000," ","int((b*x+a)*(B*x+A)/x^4,x)","-\frac{B b}{x}-\frac{A a}{3 x^{3}}-\frac{A b +B a}{2 x^{2}}"," ",0,"-b*B/x-1/2*(A*b+B*a)/x^2-1/3*a*A/x^3","A"
89,1,28,29,0.006000," ","int((b*x+a)*(B*x+A)/x^5,x)","-\frac{B b}{2 x^{2}}-\frac{A a}{4 x^{4}}-\frac{A b +B a}{3 x^{3}}"," ",0,"-1/2*b*B/x^2-1/3*(A*b+B*a)/x^3-1/4*a*A/x^4","A"
90,1,28,29,0.006000," ","int((b*x+a)*(B*x+A)/x^6,x)","-\frac{B b}{3 x^{3}}-\frac{A a}{5 x^{5}}-\frac{A b +B a}{4 x^{4}}"," ",0,"-1/5*a*A/x^5-1/3*b*B/x^3-1/4*(A*b+B*a)/x^4","A"
91,1,52,47,0.001000," ","int(x^4*(b*x+a)^2*(B*x+A),x)","\frac{B \,b^{2} x^{8}}{8}+\frac{A \,a^{2} x^{5}}{5}+\frac{\left(b^{2} A +2 a b B \right) x^{7}}{7}+\frac{\left(2 a b A +a^{2} B \right) x^{6}}{6}"," ",0,"1/8*b^2*B*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"
92,1,52,47,0.000000," ","int(x^3*(b*x+a)^2*(B*x+A),x)","\frac{B \,b^{2} x^{7}}{7}+\frac{A \,a^{2} x^{4}}{4}+\frac{\left(b^{2} A +2 a b B \right) x^{6}}{6}+\frac{\left(2 a b A +a^{2} B \right) x^{5}}{5}"," ",0,"1/7*b^2*B*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^2*A*x^4","A"
93,1,52,47,0.001000," ","int(x^2*(b*x+a)^2*(B*x+A),x)","\frac{B \,b^{2} x^{6}}{6}+\frac{A \,a^{2} x^{3}}{3}+\frac{\left(b^{2} A +2 a b B \right) x^{5}}{5}+\frac{\left(2 a b A +a^{2} B \right) x^{4}}{4}"," ",0,"1/6*b^2*B*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^2*A*x^3","A"
94,1,52,47,0.000000," ","int(x*(b*x+a)^2*(B*x+A),x)","\frac{B \,b^{2} x^{5}}{5}+\frac{A \,a^{2} x^{2}}{2}+\frac{\left(b^{2} A +2 a b B \right) x^{4}}{4}+\frac{\left(2 a b A +a^{2} B \right) x^{3}}{3}"," ",0,"1/5*b^2*B*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^2*A*x^2","A"
95,1,49,34,0.000000," ","int((b*x+a)^2*(B*x+A),x)","\frac{B \,b^{2} x^{4}}{4}+A \,a^{2} x +\frac{\left(b^{2} A +2 a b B \right) x^{3}}{3}+\frac{\left(2 a b A +a^{2} B \right) x^{2}}{2}"," ",0,"1/4*b^2*B*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^2*A*x","A"
96,1,46,36,0.002000," ","int((b*x+a)^2*(B*x+A)/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*x^2*a*b+2*a*A*b*x+a^2*B*x+a^2*A*ln(x)","A"
97,1,46,42,0.005000," ","int((b*x+a)^2*(B*x+A)/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^2*B*x^2+b^2*A*x+2*a*b*B*x-a^2*A/x+2*A*ln(x)*a*b+B*ln(x)*a^2","A"
98,1,48,42,0.007000," ","int((b*x+a)^2*(B*x+A)/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^2*B*x-2*a/x*A*b-a^2/x*B+A*ln(x)*b^2+2*B*ln(x)*a*b-1/2*a^2*A/x^2","A"
99,1,52,45,0.006000," ","int((b*x+a)^2*(B*x+A)/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,"-b^2/x*A-2*b/x*B*a+b^2*B*ln(x)-a/x^2*A*b-1/2*a^2/x^2*B-1/3*a^2*A/x^3","A"
100,1,48,40,0.005000," ","int((b*x+a)^2*(B*x+A)/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,"-B*b^2/x-1/2*b*(A*b+2*B*a)/x^2-1/3*a*(2*A*b+B*a)/x^3-1/4*A*a^2/x^4","A"
101,1,48,47,0.006000," ","int((b*x+a)^2*(B*x+A)/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^2*A/x^5-1/4*a*(2*A*b+B*a)/x^4-1/3*b*(A*b+2*B*a)/x^3-1/2*b^2*B/x^2","A"
102,1,48,47,0.006000," ","int((b*x+a)^2*(B*x+A)/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^2*A/x^6-1/5*a*(2*A*b+B*a)/x^5-1/4*b*(A*b+2*B*a)/x^4-1/3*b^2*B/x^3","A"
103,1,48,47,0.006000," ","int((b*x+a)^2*(B*x+A)/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^2*A/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"
104,1,76,65,0.002000," ","int(x^4*(b*x+a)^3*(B*x+A),x)","\frac{B \,b^{3} x^{9}}{9}+\frac{A \,a^{3} x^{5}}{5}+\frac{\left(b^{3} A +3 a \,b^{2} B \right) x^{8}}{8}+\frac{\left(3 a \,b^{2} A +3 a^{2} b B \right) x^{7}}{7}+\frac{\left(3 a^{2} b A +a^{3} B \right) x^{6}}{6}"," ",0,"1/9*b^3*B*x^9+1/8*(A*b^3+3*B*a*b^2)*x^8+1/7*(3*A*a*b^2+3*B*a^2*b)*x^7+1/6*(3*A*a^2*b+B*a^3)*x^6+1/5*a^3*A*x^5","A"
105,1,76,65,0.002000," ","int(x^3*(b*x+a)^3*(B*x+A),x)","\frac{B \,b^{3} x^{8}}{8}+\frac{A \,a^{3} x^{4}}{4}+\frac{\left(b^{3} A +3 a \,b^{2} B \right) x^{7}}{7}+\frac{\left(3 a \,b^{2} A +3 a^{2} b B \right) x^{6}}{6}+\frac{\left(3 a^{2} b A +a^{3} B \right) x^{5}}{5}"," ",0,"1/8*b^3*B*x^8+1/7*(A*b^3+3*B*a*b^2)*x^7+1/6*(3*A*a*b^2+3*B*a^2*b)*x^6+1/5*(3*A*a^2*b+B*a^3)*x^5+1/4*a^3*A*x^4","A"
106,1,76,65,0.000000," ","int(x^2*(b*x+a)^3*(B*x+A),x)","\frac{B \,b^{3} x^{7}}{7}+\frac{A \,a^{3} x^{3}}{3}+\frac{\left(b^{3} A +3 a \,b^{2} B \right) x^{6}}{6}+\frac{\left(3 a \,b^{2} A +3 a^{2} b B \right) x^{5}}{5}+\frac{\left(3 a^{2} b A +a^{3} B \right) x^{4}}{4}"," ",0,"1/7*b^3*B*x^7+1/6*(A*b^3+3*B*a*b^2)*x^6+1/5*(3*A*a*b^2+3*B*a^2*b)*x^5+1/4*(3*A*a^2*b+B*a^3)*x^4+1/3*a^3*A*x^3","A"
107,1,76,55,0.000000," ","int(x*(b*x+a)^3*(B*x+A),x)","\frac{B \,b^{3} x^{6}}{6}+\frac{A \,a^{3} x^{2}}{2}+\frac{\left(b^{3} A +3 a \,b^{2} B \right) x^{5}}{5}+\frac{\left(3 a \,b^{2} A +3 a^{2} b B \right) x^{4}}{4}+\frac{\left(3 a^{2} b A +a^{3} B \right) x^{3}}{3}"," ",0,"1/6*b^3*B*x^6+1/5*(A*b^3+3*B*a*b^2)*x^5+1/4*(3*A*a*b^2+3*B*a^2*b)*x^4+1/3*(3*A*a^2*b+B*a^3)*x^3+1/2*a^3*A*x^2","A"
108,1,73,34,0.000000," ","int((b*x+a)^3*(B*x+A),x)","\frac{B \,b^{3} x^{5}}{5}+A \,a^{3} x +\frac{\left(b^{3} A +3 a \,b^{2} B \right) x^{4}}{4}+\frac{\left(3 a \,b^{2} A +3 a^{2} b B \right) x^{3}}{3}+\frac{\left(3 a^{2} b A +a^{3} B \right) x^{2}}{2}"," ",0,"1/5*b^3*B*x^5+1/4*(A*b^3+3*B*a*b^2)*x^4+1/3*(3*A*a*b^2+3*B*a^2*b)*x^3+1/2*(3*A*a^2*b+B*a^3)*x^2+a^3*A*x","B"
109,1,70,48,0.002000," ","int((b*x+a)^3*(B*x+A)/x,x)","\frac{B \,b^{3} x^{4}}{4}+\frac{A \,b^{3} x^{3}}{3}+B a \,b^{2} x^{3}+\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,"1/4*B*b^3*x^4+1/3*A*b^3*x^3+B*x^3*a*b^2+3/2*a*A*b^2*x^2+3/2*B*x^2*a^2*b+3*a^2*A*b*x+a^3*B*x+a^3*A*ln(x)","A"
110,1,71,61,0.007000," ","int((b*x+a)^3*(B*x+A)/x^2,x)","\frac{B \,b^{3} x^{3}}{3}+\frac{A \,b^{3} x^{2}}{2}+\frac{3 B a \,b^{2} x^{2}}{2}+3 A \,a^{2} b \ln \left(x \right)+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,"1/3*b^3*B*x^3+1/2*A*x^2*b^3+3/2*B*x^2*a*b^2+3*a*b^2*A*x+3*a^2*b*B*x-a^3*A/x+3*A*ln(x)*a^2*b+B*ln(x)*a^3","A"
111,1,71,61,0.008000," ","int((b*x+a)^3*(B*x+A)/x^3,x)","\frac{B \,b^{3} x^{2}}{2}+3 A a \,b^{2} \ln \left(x \right)+A \,b^{3} x +3 B \,a^{2} b \ln \left(x \right)+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,"1/2*b^3*B*x^2+b^3*A*x+3*a*b^2*B*x-3*a^2/x*A*b-a^3/x*B+3*A*ln(x)*a*b^2+3*B*ln(x)*a^2*b-1/2*a^3*A/x^2","A"
112,1,72,60,0.007000," ","int((b*x+a)^3*(B*x+A)/x^4,x)","A \,b^{3} \ln \left(x \right)+3 B a \,b^{2} \ln \left(x \right)+B \,b^{3} 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,"b^3*B*x-3*a*b^2/x*A-3*a^2*b/x*B+A*ln(x)*b^3+3*B*ln(x)*a*b^2-3/2*a^2/x^2*A*b-1/2*a^3/x^2*B-1/3*a^3*A/x^3","A"
113,1,76,53,0.008000," ","int((b*x+a)^3*(B*x+A)/x^5,x)","B \,b^{3} \ln \left(x \right)-\frac{A \,b^{3}}{x}-\frac{3 B a \,b^{2}}{x}-\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,"-b^3/x*A-3*a*b^2*B/x+b^3*B*ln(x)-3/2*a*b^2/x^2*A-3/2*a^2*b*B/x^2-a^2/x^3*A*b-1/3*a^3*B/x^3-1/4*A*a^3/x^4","A"
114,1,66,40,0.005000," ","int((b*x+a)^3*(B*x+A)/x^6,x)","-\frac{B \,b^{3}}{x}-\frac{\left(A b +3 B a \right) b^{2}}{2 x^{2}}-\frac{A \,a^{3}}{5 x^{5}}-\frac{\left(A b +B a \right) a b}{x^{3}}-\frac{\left(3 A b +B a \right) a^{2}}{4 x^{4}}"," ",0,"-1/5*A*a^3/x^5-B*b^3/x-1/2*b^2*(A*b+3*B*a)/x^2-a*b*(A*b+B*a)/x^3-1/4*a^2*(3*A*b+B*a)/x^4","A"
115,1,66,65,0.008000," ","int((b*x+a)^3*(B*x+A)/x^7,x)","-\frac{B \,b^{3}}{2 x^{2}}-\frac{\left(A b +3 B a \right) b^{2}}{3 x^{3}}-\frac{A \,a^{3}}{6 x^{6}}-\frac{3 \left(A b +B a \right) a b}{4 x^{4}}-\frac{\left(3 A b +B a \right) a^{2}}{5 x^{5}}"," ",0,"-1/6*a^3*A/x^6-1/5*a^2*(3*A*b+B*a)/x^5-3/4*a*b*(A*b+B*a)/x^4-1/3*b^2*(A*b+3*B*a)/x^3-1/2*b^3*B/x^2","A"
116,1,66,65,0.004000," ","int((b*x+a)^3*(B*x+A)/x^8,x)","-\frac{B \,b^{3}}{3 x^{3}}-\frac{\left(A b +3 B a \right) b^{2}}{4 x^{4}}-\frac{A \,a^{3}}{7 x^{7}}-\frac{3 \left(A b +B a \right) a b}{5 x^{5}}-\frac{\left(3 A b +B a \right) a^{2}}{6 x^{6}}"," ",0,"-1/7*a^3*A/x^7-1/6*a^2*(3*A*b+B*a)/x^6-3/5*a*b*(A*b+B*a)/x^5-1/4*b^2*(A*b+3*B*a)/x^4-1/3*b^3*B/x^3","A"
117,1,66,65,0.006000," ","int((b*x+a)^3*(B*x+A)/x^9,x)","-\frac{B \,b^{3}}{4 x^{4}}-\frac{\left(A b +3 B a \right) b^{2}}{5 x^{5}}-\frac{A \,a^{3}}{8 x^{8}}-\frac{\left(A b +B a \right) a b}{2 x^{6}}-\frac{\left(3 A b +B a \right) a^{2}}{7 x^{7}}"," ",0,"-1/8*a^3*A/x^8-1/7*a^2*(3*A*b+B*a)/x^7-1/2*a*b*(A*b+B*a)/x^6-1/5*b^2*(A*b+3*B*a)/x^5-1/4*b^3*B/x^4","A"
118,1,66,65,0.006000," ","int((b*x+a)^3*(B*x+A)/x^10,x)","-\frac{B \,b^{3}}{5 x^{5}}-\frac{\left(A b +3 B a \right) b^{2}}{6 x^{6}}-\frac{A \,a^{3}}{9 x^{9}}-\frac{3 \left(A b +B a \right) a b}{7 x^{7}}-\frac{\left(3 A b +B a \right) a^{2}}{8 x^{8}}"," ",0,"-1/9*a^3*A/x^9-1/8*a^2*(3*A*b+B*a)/x^8-3/7*a*b*(A*b+B*a)/x^7-1/6*b^2*(A*b+3*B*a)/x^6-1/5*b^3*B/x^5","A"
119,1,124,103,0.000000," ","int(x^5*(b*x+a)^5*(B*x+A),x)","\frac{B \,b^{5} x^{12}}{12}+\frac{A \,a^{5} x^{6}}{6}+\frac{\left(b^{5} A +5 a \,b^{4} B \right) x^{11}}{11}+\frac{\left(5 a \,b^{4} A +10 a^{2} b^{3} B \right) x^{10}}{10}+\frac{\left(10 a^{2} b^{3} A +10 a^{3} b^{2} B \right) x^{9}}{9}+\frac{\left(10 a^{3} b^{2} A +5 a^{4} b B \right) x^{8}}{8}+\frac{\left(5 a^{4} b A +a^{5} B \right) x^{7}}{7}"," ",0,"1/12*b^5*B*x^12+1/11*(A*b^5+5*B*a*b^4)*x^11+1/10*(5*A*a*b^4+10*B*a^2*b^3)*x^10+1/9*(10*A*a^2*b^3+10*B*a^3*b^2)*x^9+1/8*(10*A*a^3*b^2+5*B*a^4*b)*x^8+1/7*(5*A*a^4*b+B*a^5)*x^7+1/6*a^5*A*x^6","A"
120,1,124,103,0.003000," ","int(x^4*(b*x+a)^5*(B*x+A),x)","\frac{B \,b^{5} x^{11}}{11}+\frac{A \,a^{5} x^{5}}{5}+\frac{\left(b^{5} A +5 a \,b^{4} B \right) x^{10}}{10}+\frac{\left(5 a \,b^{4} A +10 a^{2} b^{3} B \right) x^{9}}{9}+\frac{\left(10 a^{2} b^{3} A +10 a^{3} b^{2} B \right) x^{8}}{8}+\frac{\left(10 a^{3} b^{2} A +5 a^{4} b B \right) x^{7}}{7}+\frac{\left(5 a^{4} b A +a^{5} B \right) x^{6}}{6}"," ",0,"1/11*b^5*B*x^11+1/10*(A*b^5+5*B*a*b^4)*x^10+1/9*(5*A*a*b^4+10*B*a^2*b^3)*x^9+1/8*(10*A*a^2*b^3+10*B*a^3*b^2)*x^8+1/7*(10*A*a^3*b^2+5*B*a^4*b)*x^7+1/6*(5*A*a^4*b+B*a^5)*x^6+1/5*a^5*A*x^5","A"
121,1,124,102,0.001000," ","int(x^3*(b*x+a)^5*(B*x+A),x)","\frac{B \,b^{5} x^{10}}{10}+\frac{A \,a^{5} x^{4}}{4}+\frac{\left(b^{5} A +5 a \,b^{4} B \right) x^{9}}{9}+\frac{\left(5 a \,b^{4} A +10 a^{2} b^{3} B \right) x^{8}}{8}+\frac{\left(10 a^{2} b^{3} A +10 a^{3} b^{2} B \right) x^{7}}{7}+\frac{\left(10 a^{3} b^{2} A +5 a^{4} b B \right) x^{6}}{6}+\frac{\left(5 a^{4} b A +a^{5} B \right) x^{5}}{5}"," ",0,"1/10*b^5*B*x^10+1/9*(A*b^5+5*B*a*b^4)*x^9+1/8*(5*A*a*b^4+10*B*a^2*b^3)*x^8+1/7*(10*A*a^2*b^3+10*B*a^3*b^2)*x^7+1/6*(10*A*a^3*b^2+5*B*a^4*b)*x^6+1/5*(5*A*a^4*b+B*a^5)*x^5+1/4*a^5*A*x^4","A"
122,1,124,79,0.003000," ","int(x^2*(b*x+a)^5*(B*x+A),x)","\frac{B \,b^{5} x^{9}}{9}+\frac{A \,a^{5} x^{3}}{3}+\frac{\left(b^{5} A +5 a \,b^{4} B \right) x^{8}}{8}+\frac{\left(5 a \,b^{4} A +10 a^{2} b^{3} B \right) x^{7}}{7}+\frac{\left(10 a^{2} b^{3} A +10 a^{3} b^{2} B \right) x^{6}}{6}+\frac{\left(10 a^{3} b^{2} A +5 a^{4} b B \right) x^{5}}{5}+\frac{\left(5 a^{4} b A +a^{5} B \right) x^{4}}{4}"," ",0,"1/9*b^5*B*x^9+1/8*(A*b^5+5*B*a*b^4)*x^8+1/7*(5*A*a*b^4+10*B*a^2*b^3)*x^7+1/6*(10*A*a^2*b^3+10*B*a^3*b^2)*x^6+1/5*(10*A*a^3*b^2+5*B*a^4*b)*x^5+1/4*(5*A*a^4*b+B*a^5)*x^4+1/3*a^5*A*x^3","A"
123,1,124,55,0.001000," ","int(x*(b*x+a)^5*(B*x+A),x)","\frac{B \,b^{5} x^{8}}{8}+\frac{A \,a^{5} x^{2}}{2}+\frac{\left(b^{5} A +5 a \,b^{4} B \right) x^{7}}{7}+\frac{\left(5 a \,b^{4} A +10 a^{2} b^{3} B \right) x^{6}}{6}+\frac{\left(10 a^{2} b^{3} A +10 a^{3} b^{2} B \right) x^{5}}{5}+\frac{\left(10 a^{3} b^{2} A +5 a^{4} b B \right) x^{4}}{4}+\frac{\left(5 a^{4} b A +a^{5} B \right) x^{3}}{3}"," ",0,"1/8*b^5*B*x^8+1/7*(A*b^5+5*B*a*b^4)*x^7+1/6*(5*A*a*b^4+10*B*a^2*b^3)*x^6+1/5*(10*A*a^2*b^3+10*B*a^3*b^2)*x^5+1/4*(10*A*a^3*b^2+5*B*a^4*b)*x^4+1/3*(5*A*a^4*b+B*a^5)*x^3+1/2*a^5*A*x^2","B"
124,1,121,34,0.001000," ","int((b*x+a)^5*(B*x+A),x)","\frac{B \,b^{5} x^{7}}{7}+A \,a^{5} x +\frac{\left(b^{5} A +5 a \,b^{4} B \right) x^{6}}{6}+\frac{\left(5 a \,b^{4} A +10 a^{2} b^{3} B \right) x^{5}}{5}+\frac{\left(10 a^{2} b^{3} A +10 a^{3} b^{2} B \right) x^{4}}{4}+\frac{\left(10 a^{3} b^{2} A +5 a^{4} b B \right) x^{3}}{3}+\frac{\left(5 a^{4} b A +a^{5} B \right) x^{2}}{2}"," ",0,"1/7*b^5*B*x^7+1/6*(A*b^5+5*B*a*b^4)*x^6+1/5*(5*A*a*b^4+10*B*a^2*b^3)*x^5+1/4*(10*A*a^2*b^3+10*B*a^3*b^2)*x^4+1/3*(10*A*a^3*b^2+5*B*a^4*b)*x^3+1/2*(5*A*a^4*b+B*a^5)*x^2+a^5*A*x","B"
125,1,118,72,0.004000," ","int((b*x+a)^5*(B*x+A)/x,x)","\frac{B \,b^{5} x^{6}}{6}+\frac{A \,b^{5} x^{5}}{5}+B a \,b^{4} x^{5}+\frac{5 A a \,b^{4} x^{4}}{4}+\frac{5 B \,a^{2} b^{3} x^{4}}{2}+\frac{10 A \,a^{2} b^{3} x^{3}}{3}+\frac{10 B \,a^{3} b^{2} x^{3}}{3}+5 A \,a^{3} b^{2} x^{2}+\frac{5 B \,a^{4} b \,x^{2}}{2}+A \,a^{5} \ln \left(x \right)+5 A \,a^{4} b x +B \,a^{5} x"," ",0,"1/6*B*b^5*x^6+1/5*A*b^5*x^5+B*x^5*a*b^4+5/4*a*A*b^4*x^4+5/2*B*x^4*a^2*b^3+10/3*a^2*A*b^3*x^3+10/3*B*x^3*a^3*b^2+5*a^3*A*b^2*x^2+5/2*B*x^2*a^4*b+5*a^4*A*b*x+a^5*B*x+a^5*A*ln(x)","A"
126,1,119,99,0.007000," ","int((b*x+a)^5*(B*x+A)/x^2,x)","\frac{B \,b^{5} x^{5}}{5}+\frac{A \,b^{5} x^{4}}{4}+\frac{5 B a \,b^{4} x^{4}}{4}+\frac{5 A a \,b^{4} x^{3}}{3}+\frac{10 B \,a^{2} b^{3} x^{3}}{3}+5 A \,a^{2} b^{3} x^{2}+5 B \,a^{3} b^{2} x^{2}+5 A \,a^{4} b \ln \left(x \right)+10 A \,a^{3} b^{2} x +B \,a^{5} \ln \left(x \right)+5 B \,a^{4} b x -\frac{A \,a^{5}}{x}"," ",0,"1/5*b^5*B*x^5+1/4*A*x^4*b^5+5/4*B*x^4*a*b^4+5/3*A*x^3*a*b^4+10/3*B*x^3*a^2*b^3+5*A*x^2*a^2*b^3+5*B*x^2*a^3*b^2+10*a^3*b^2*A*x+5*a^4*b*B*x-a^5*A/x+5*A*ln(x)*a^4*b+B*ln(x)*a^5","A"
127,1,120,100,0.007000," ","int((b*x+a)^5*(B*x+A)/x^3,x)","\frac{B \,b^{5} x^{4}}{4}+\frac{A \,b^{5} x^{3}}{3}+\frac{5 B a \,b^{4} x^{3}}{3}+\frac{5 A a \,b^{4} x^{2}}{2}+5 B \,a^{2} b^{3} x^{2}+10 A \,a^{3} b^{2} \ln \left(x \right)+10 A \,a^{2} b^{3} x +5 B \,a^{4} b \ln \left(x \right)+10 B \,a^{3} b^{2} x -\frac{5 A \,a^{4} b}{x}-\frac{B \,a^{5}}{x}-\frac{A \,a^{5}}{2 x^{2}}"," ",0,"1/4*b^5*B*x^4+1/3*A*x^3*b^5+5/3*B*x^3*a*b^4+5/2*A*x^2*a*b^4+5*B*x^2*a^2*b^3+10*a^2*b^3*A*x+10*a^3*b^2*B*x-5*a^4/x*A*b-a^5/x*B+10*A*ln(x)*a^3*b^2+5*B*ln(x)*a^4*b-1/2*a^5*A/x^2","A"
128,1,120,100,0.009000," ","int((b*x+a)^5*(B*x+A)/x^4,x)","\frac{B \,b^{5} x^{3}}{3}+\frac{A \,b^{5} x^{2}}{2}+\frac{5 B a \,b^{4} x^{2}}{2}+10 A \,a^{2} b^{3} \ln \left(x \right)+5 A a \,b^{4} x +10 B \,a^{3} b^{2} \ln \left(x \right)+10 B \,a^{2} b^{3} x -\frac{10 A \,a^{3} b^{2}}{x}-\frac{5 B \,a^{4} b}{x}-\frac{5 A \,a^{4} b}{2 x^{2}}-\frac{B \,a^{5}}{2 x^{2}}-\frac{A \,a^{5}}{3 x^{3}}"," ",0,"1/3*b^5*B*x^3+1/2*A*x^2*b^5+5/2*B*x^2*a*b^4+5*a*b^4*A*x+10*a^2*b^3*B*x-10*a^3*b^2/x*A-5*a^4*b/x*B+10*A*ln(x)*a^2*b^3+10*B*ln(x)*a^3*b^2-5/2*a^4/x^2*A*b-1/2*a^5/x^2*B-1/3*a^5*A/x^3","A"
129,1,119,99,0.008000," ","int((b*x+a)^5*(B*x+A)/x^5,x)","\frac{B \,b^{5} x^{2}}{2}+5 A a \,b^{4} \ln \left(x \right)+A \,b^{5} x +10 B \,a^{2} b^{3} \ln \left(x \right)+5 B a \,b^{4} x -\frac{10 A \,a^{2} b^{3}}{x}-\frac{10 B \,a^{3} b^{2}}{x}-\frac{5 A \,a^{3} b^{2}}{x^{2}}-\frac{5 B \,a^{4} b}{2 x^{2}}-\frac{5 A \,a^{4} b}{3 x^{3}}-\frac{B \,a^{5}}{3 x^{3}}-\frac{A \,a^{5}}{4 x^{4}}"," ",0,"1/2*b^5*B*x^2+b^5*A*x+5*a*b^4*B*x-10*a^2*b^3/x*A-10*a^3*b^2/x*B+5*A*ln(x)*a*b^4+10*B*ln(x)*a^2*b^3-5*a^3*b^2/x^2*A-5/2*a^4*b/x^2*B-5/3*a^4/x^3*A*b-1/3*a^5/x^3*B-1/4*a^5*A/x^4","A"
130,1,120,98,0.009000," ","int((b*x+a)^5*(B*x+A)/x^6,x)","A \,b^{5} \ln \left(x \right)+5 B a \,b^{4} \ln \left(x \right)+B \,b^{5} x -\frac{5 A a \,b^{4}}{x}-\frac{10 B \,a^{2} b^{3}}{x}-\frac{5 A \,a^{2} b^{3}}{x^{2}}-\frac{5 B \,a^{3} b^{2}}{x^{2}}-\frac{10 A \,a^{3} b^{2}}{3 x^{3}}-\frac{5 B \,a^{4} b}{3 x^{3}}-\frac{5 A \,a^{4} b}{4 x^{4}}-\frac{B \,a^{5}}{4 x^{4}}-\frac{A \,a^{5}}{5 x^{5}}"," ",0,"b^5*B*x-1/5*a^5*A/x^5-5*a*b^4/x*A-10*a^2*b^3/x*B+A*ln(x)*b^5+5*B*ln(x)*a*b^4-5*a^2*b^3/x^2*A-5*a^3*b^2/x^2*B-10/3*a^3*b^2/x^3*A-5/3*a^4*b/x^3*B-5/4*a^4/x^4*A*b-1/4*a^5/x^4*B","A"
131,1,124,77,0.007000," ","int((b*x+a)^5*(B*x+A)/x^7,x)","B \,b^{5} \ln \left(x \right)-\frac{A \,b^{5}}{x}-\frac{5 B a \,b^{4}}{x}-\frac{5 A a \,b^{4}}{2 x^{2}}-\frac{5 B \,a^{2} b^{3}}{x^{2}}-\frac{10 A \,a^{2} b^{3}}{3 x^{3}}-\frac{10 B \,a^{3} b^{2}}{3 x^{3}}-\frac{5 A \,a^{3} b^{2}}{2 x^{4}}-\frac{5 B \,a^{4} b}{4 x^{4}}-\frac{A \,a^{4} b}{x^{5}}-\frac{B \,a^{5}}{5 x^{5}}-\frac{A \,a^{5}}{6 x^{6}}"," ",0,"-1/6*A*a^5/x^6-a^4/x^5*A*b-1/5*a^5*B/x^5-b^5/x*A-5*a*b^4*B/x+b^5*B*ln(x)-5/2*a*b^4/x^2*A-5*a^2*b^3*B/x^2-10/3*a^2*b^3/x^3*A-10/3*a^3*b^2*B/x^3-5/2*a^3*b^2/x^4*A-5/4*a^4*b*B/x^4","A"
132,1,104,40,0.006000," ","int((b*x+a)^5*(B*x+A)/x^8,x)","-\frac{B \,b^{5}}{x}-\frac{\left(A b +5 B a \right) b^{4}}{2 x^{2}}-\frac{5 \left(A b +2 B a \right) a \,b^{3}}{3 x^{3}}-\frac{5 \left(A b +B a \right) a^{2} b^{2}}{2 x^{4}}-\frac{A \,a^{5}}{7 x^{7}}-\frac{\left(2 A b +B a \right) a^{3} b}{x^{5}}-\frac{\left(5 A b +B a \right) a^{4}}{6 x^{6}}"," ",0,"-1/6*a^4*(5*A*b+B*a)/x^6-a^3*b*(2*A*b+B*a)/x^5-B*b^5/x-1/2*b^4*(A*b+5*B*a)/x^2-1/7*A*a^5/x^7-5/3*a*b^3*(A*b+2*B*a)/x^3-5/2*a^2*b^2*(A*b+B*a)/x^4","B"
133,1,104,64,0.005000," ","int((b*x+a)^5*(B*x+A)/x^9,x)","-\frac{B \,b^{5}}{2 x^{2}}-\frac{\left(A b +5 B a \right) b^{4}}{3 x^{3}}-\frac{5 \left(A b +2 B a \right) a \,b^{3}}{4 x^{4}}-\frac{2 \left(A b +B a \right) a^{2} b^{2}}{x^{5}}-\frac{A \,a^{5}}{8 x^{8}}-\frac{5 \left(2 A b +B a \right) a^{3} b}{6 x^{6}}-\frac{\left(5 A b +B a \right) a^{4}}{7 x^{7}}"," ",0,"-5/6*a^3*b*(2*A*b+B*a)/x^6-2*a^2*b^2*(A*b+B*a)/x^5-1/2*B*b^5/x^2-1/8*A*a^5/x^8-1/7*a^4*(5*A*b+B*a)/x^7-1/3*b^4*(A*b+5*B*a)/x^3-5/4*a*b^3*(A*b+2*B*a)/x^4","A"
134,1,104,103,0.006000," ","int((b*x+a)^5*(B*x+A)/x^10,x)","-\frac{B \,b^{5}}{3 x^{3}}-\frac{\left(A b +5 B a \right) b^{4}}{4 x^{4}}-\frac{\left(A b +2 B a \right) a \,b^{3}}{x^{5}}-\frac{5 \left(A b +B a \right) a^{2} b^{2}}{3 x^{6}}-\frac{A \,a^{5}}{9 x^{9}}-\frac{5 \left(2 A b +B a \right) a^{3} b}{7 x^{7}}-\frac{\left(5 A b +B a \right) a^{4}}{8 x^{8}}"," ",0,"-1/9*a^5*A/x^9-1/8*a^4*(5*A*b+B*a)/x^8-5/7*a^3*b*(2*A*b+B*a)/x^7-5/3*a^2*b^2*(A*b+B*a)/x^6-a*b^3*(A*b+2*B*a)/x^5-1/4*b^4*(A*b+5*B*a)/x^4-1/3*b^5*B/x^3","A"
135,1,104,103,0.007000," ","int((b*x+a)^5*(B*x+A)/x^11,x)","-\frac{B \,b^{5}}{4 x^{4}}-\frac{\left(A b +5 B a \right) b^{4}}{5 x^{5}}-\frac{5 \left(A b +2 B a \right) a \,b^{3}}{6 x^{6}}-\frac{10 \left(A b +B a \right) a^{2} b^{2}}{7 x^{7}}-\frac{A \,a^{5}}{10 x^{10}}-\frac{5 \left(2 A b +B a \right) a^{3} b}{8 x^{8}}-\frac{\left(5 A b +B a \right) a^{4}}{9 x^{9}}"," ",0,"-1/10*a^5*A/x^10-1/9*a^4*(5*A*b+B*a)/x^9-5/8*a^3*b*(2*A*b+B*a)/x^8-10/7*a^2*b^2*(A*b+B*a)/x^7-5/6*a*b^3*(A*b+2*B*a)/x^6-1/5*b^4*(A*b+5*B*a)/x^5-1/4*b^5*B/x^4","A"
136,1,104,103,0.006000," ","int((b*x+a)^5*(B*x+A)/x^12,x)","-\frac{B \,b^{5}}{5 x^{5}}-\frac{\left(A b +5 B a \right) b^{4}}{6 x^{6}}-\frac{5 \left(A b +2 B a \right) a \,b^{3}}{7 x^{7}}-\frac{5 \left(A b +B a \right) a^{2} b^{2}}{4 x^{8}}-\frac{A \,a^{5}}{11 x^{11}}-\frac{5 \left(2 A b +B a \right) a^{3} b}{9 x^{9}}-\frac{\left(5 A b +B a \right) a^{4}}{10 x^{10}}"," ",0,"-1/11*a^5*A/x^11-1/10*a^4*(5*A*b+B*a)/x^10-5/9*a^3*b*(2*A*b+B*a)/x^9-5/4*a^2*b^2*(A*b+B*a)/x^8-5/7*a*b^3*(A*b+2*B*a)/x^7-1/6*b^4*(A*b+5*B*a)/x^6-1/5*b^5*B/x^5","A"
137,1,244,207,0.000000," ","int(x^10*(b*x+a)^10*(B*x+A),x)","\frac{B \,b^{10} x^{22}}{22}+\frac{A \,a^{10} x^{11}}{11}+\frac{\left(b^{10} A +10 a \,b^{9} B \right) x^{21}}{21}+\frac{\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) x^{20}}{20}+\frac{\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) x^{19}}{19}+\frac{\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) x^{18}}{18}+\frac{\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) x^{17}}{17}+\frac{\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) x^{16}}{16}+\frac{\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) x^{15}}{15}+\frac{\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) x^{14}}{14}+\frac{\left(45 a^{8} b^{2} A +10 a^{9} b B \right) x^{13}}{13}+\frac{\left(10 a^{9} b A +a^{10} B \right) x^{12}}{12}"," ",0,"1/22*b^10*B*x^22+1/21*(A*b^10+10*B*a*b^9)*x^21+1/20*(10*A*a*b^9+45*B*a^2*b^8)*x^20+1/19*(45*A*a^2*b^8+120*B*a^3*b^7)*x^19+1/18*(120*A*a^3*b^7+210*B*a^4*b^6)*x^18+1/17*(210*A*a^4*b^6+252*B*a^5*b^5)*x^17+1/16*(252*A*a^5*b^5+210*B*a^6*b^4)*x^16+1/15*(210*A*a^6*b^4+120*B*a^7*b^3)*x^15+1/14*(120*A*a^7*b^3+45*B*a^8*b^2)*x^14+1/13*(45*A*a^8*b^2+10*B*a^9*b)*x^13+1/12*(10*A*a^9*b+B*a^10)*x^12+1/11*a^10*A*x^11","A"
138,1,244,207,0.001000," ","int(x^9*(b*x+a)^10*(B*x+A),x)","\frac{B \,b^{10} x^{21}}{21}+\frac{A \,a^{10} x^{10}}{10}+\frac{\left(b^{10} A +10 a \,b^{9} B \right) x^{20}}{20}+\frac{\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) x^{19}}{19}+\frac{\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) x^{18}}{18}+\frac{\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) x^{17}}{17}+\frac{\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) x^{16}}{16}+\frac{\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) x^{15}}{15}+\frac{\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) x^{14}}{14}+\frac{\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) x^{13}}{13}+\frac{\left(45 a^{8} b^{2} A +10 a^{9} b B \right) x^{12}}{12}+\frac{\left(10 a^{9} b A +a^{10} B \right) x^{11}}{11}"," ",0,"1/21*b^10*B*x^21+1/20*(A*b^10+10*B*a*b^9)*x^20+1/19*(10*A*a*b^9+45*B*a^2*b^8)*x^19+1/18*(45*A*a^2*b^8+120*B*a^3*b^7)*x^18+1/17*(120*A*a^3*b^7+210*B*a^4*b^6)*x^17+1/16*(210*A*a^4*b^6+252*B*a^5*b^5)*x^16+1/15*(252*A*a^5*b^5+210*B*a^6*b^4)*x^15+1/14*(210*A*a^6*b^4+120*B*a^7*b^3)*x^14+1/13*(120*A*a^7*b^3+45*B*a^8*b^2)*x^13+1/12*(45*A*a^8*b^2+10*B*a^9*b)*x^12+1/11*(10*A*a^9*b+B*a^10)*x^11+1/10*a^10*A*x^10","A"
139,1,244,222,0.002000," ","int(x^8*(b*x+a)^10*(B*x+A),x)","\frac{B \,b^{10} x^{20}}{20}+\frac{A \,a^{10} x^{9}}{9}+\frac{\left(b^{10} A +10 a \,b^{9} B \right) x^{19}}{19}+\frac{\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) x^{18}}{18}+\frac{\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) x^{17}}{17}+\frac{\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) x^{16}}{16}+\frac{\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) x^{15}}{15}+\frac{\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) x^{14}}{14}+\frac{\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) x^{13}}{13}+\frac{\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) x^{12}}{12}+\frac{\left(45 a^{8} b^{2} A +10 a^{9} b B \right) x^{11}}{11}+\frac{\left(10 a^{9} b A +a^{10} B \right) x^{10}}{10}"," ",0,"1/20*b^10*B*x^20+1/19*(A*b^10+10*B*a*b^9)*x^19+1/18*(10*A*a*b^9+45*B*a^2*b^8)*x^18+1/17*(45*A*a^2*b^8+120*B*a^3*b^7)*x^17+1/16*(120*A*a^3*b^7+210*B*a^4*b^6)*x^16+1/15*(210*A*a^4*b^6+252*B*a^5*b^5)*x^15+1/14*(252*A*a^5*b^5+210*B*a^6*b^4)*x^14+1/13*(210*A*a^6*b^4+120*B*a^7*b^3)*x^13+1/12*(120*A*a^7*b^3+45*B*a^8*b^2)*x^12+1/11*(45*A*a^8*b^2+10*B*a^9*b)*x^11+1/10*(10*A*a^9*b+B*a^10)*x^10+1/9*a^10*A*x^9","A"
140,1,244,197,0.001000," ","int(x^7*(b*x+a)^10*(B*x+A),x)","\frac{B \,b^{10} x^{19}}{19}+\frac{A \,a^{10} x^{8}}{8}+\frac{\left(b^{10} A +10 a \,b^{9} B \right) x^{18}}{18}+\frac{\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) x^{17}}{17}+\frac{\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) x^{16}}{16}+\frac{\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) x^{15}}{15}+\frac{\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) x^{14}}{14}+\frac{\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) x^{13}}{13}+\frac{\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) x^{12}}{12}+\frac{\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) x^{11}}{11}+\frac{\left(45 a^{8} b^{2} A +10 a^{9} b B \right) x^{10}}{10}+\frac{\left(10 a^{9} b A +a^{10} B \right) x^{9}}{9}"," ",0,"1/19*b^10*B*x^19+1/18*(A*b^10+10*B*a*b^9)*x^18+1/17*(10*A*a*b^9+45*B*a^2*b^8)*x^17+1/16*(45*A*a^2*b^8+120*B*a^3*b^7)*x^16+1/15*(120*A*a^3*b^7+210*B*a^4*b^6)*x^15+1/14*(210*A*a^4*b^6+252*B*a^5*b^5)*x^14+1/13*(252*A*a^5*b^5+210*B*a^6*b^4)*x^13+1/12*(210*A*a^6*b^4+120*B*a^7*b^3)*x^12+1/11*(120*A*a^7*b^3+45*B*a^8*b^2)*x^11+1/10*(45*A*a^8*b^2+10*B*a^9*b)*x^10+1/9*(10*A*a^9*b+B*a^10)*x^9+1/8*a^10*A*x^8","A"
141,1,244,175,0.001000," ","int(x^6*(b*x+a)^10*(B*x+A),x)","\frac{B \,b^{10} x^{18}}{18}+\frac{A \,a^{10} x^{7}}{7}+\frac{\left(b^{10} A +10 a \,b^{9} B \right) x^{17}}{17}+\frac{\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) x^{16}}{16}+\frac{\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) x^{15}}{15}+\frac{\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) x^{14}}{14}+\frac{\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) x^{13}}{13}+\frac{\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) x^{12}}{12}+\frac{\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) x^{11}}{11}+\frac{\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) x^{10}}{10}+\frac{\left(45 a^{8} b^{2} A +10 a^{9} b B \right) x^{9}}{9}+\frac{\left(10 a^{9} b A +a^{10} B \right) x^{8}}{8}"," ",0,"1/18*b^10*B*x^18+1/17*(A*b^10+10*B*a*b^9)*x^17+1/16*(10*A*a*b^9+45*B*a^2*b^8)*x^16+1/15*(45*A*a^2*b^8+120*B*a^3*b^7)*x^15+1/14*(120*A*a^3*b^7+210*B*a^4*b^6)*x^14+1/13*(210*A*a^4*b^6+252*B*a^5*b^5)*x^13+1/12*(252*A*a^5*b^5+210*B*a^6*b^4)*x^12+1/11*(210*A*a^6*b^4+120*B*a^7*b^3)*x^11+1/10*(120*A*a^7*b^3+45*B*a^8*b^2)*x^10+1/9*(45*A*a^8*b^2+10*B*a^9*b)*x^9+1/8*(10*A*a^9*b+B*a^10)*x^8+1/7*a^10*A*x^7","A"
142,1,244,149,0.002000," ","int(x^5*(b*x+a)^10*(B*x+A),x)","\frac{B \,b^{10} x^{17}}{17}+\frac{A \,a^{10} x^{6}}{6}+\frac{\left(b^{10} A +10 a \,b^{9} B \right) x^{16}}{16}+\frac{\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) x^{15}}{15}+\frac{\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) x^{14}}{14}+\frac{\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) x^{13}}{13}+\frac{\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) x^{12}}{12}+\frac{\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) x^{11}}{11}+\frac{\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) x^{10}}{10}+\frac{\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) x^{9}}{9}+\frac{\left(45 a^{8} b^{2} A +10 a^{9} b B \right) x^{8}}{8}+\frac{\left(10 a^{9} b A +a^{10} B \right) x^{7}}{7}"," ",0,"1/17*b^10*B*x^17+1/16*(A*b^10+10*B*a*b^9)*x^16+1/15*(10*A*a*b^9+45*B*a^2*b^8)*x^15+1/14*(45*A*a^2*b^8+120*B*a^3*b^7)*x^14+1/13*(120*A*a^3*b^7+210*B*a^4*b^6)*x^13+1/12*(210*A*a^4*b^6+252*B*a^5*b^5)*x^12+1/11*(252*A*a^5*b^5+210*B*a^6*b^4)*x^11+1/10*(210*A*a^6*b^4+120*B*a^7*b^3)*x^10+1/9*(120*A*a^7*b^3+45*B*a^8*b^2)*x^9+1/8*(45*A*a^8*b^2+10*B*a^9*b)*x^8+1/7*(10*A*a^9*b+B*a^10)*x^7+1/6*a^10*A*x^6","A"
143,1,244,127,0.001000," ","int(x^4*(b*x+a)^10*(B*x+A),x)","\frac{B \,b^{10} x^{16}}{16}+\frac{A \,a^{10} x^{5}}{5}+\frac{\left(b^{10} A +10 a \,b^{9} B \right) x^{15}}{15}+\frac{\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) x^{14}}{14}+\frac{\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) x^{13}}{13}+\frac{\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) x^{12}}{12}+\frac{\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) x^{11}}{11}+\frac{\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) x^{10}}{10}+\frac{\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) x^{9}}{9}+\frac{\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) x^{8}}{8}+\frac{\left(45 a^{8} b^{2} A +10 a^{9} b B \right) x^{7}}{7}+\frac{\left(10 a^{9} b A +a^{10} B \right) x^{6}}{6}"," ",0,"1/16*b^10*B*x^16+1/15*(A*b^10+10*B*a*b^9)*x^15+1/14*(10*A*a*b^9+45*B*a^2*b^8)*x^14+1/13*(45*A*a^2*b^8+120*B*a^3*b^7)*x^13+1/12*(120*A*a^3*b^7+210*B*a^4*b^6)*x^12+1/11*(210*A*a^4*b^6+252*B*a^5*b^5)*x^11+1/10*(252*A*a^5*b^5+210*B*a^6*b^4)*x^10+1/9*(210*A*a^6*b^4+120*B*a^7*b^3)*x^9+1/8*(120*A*a^7*b^3+45*B*a^8*b^2)*x^8+1/7*(45*A*a^8*b^2+10*B*a^9*b)*x^7+1/6*(10*A*a^9*b+B*a^10)*x^6+1/5*a^10*A*x^5","A"
144,1,244,102,0.002000," ","int(x^3*(b*x+a)^10*(B*x+A),x)","\frac{B \,b^{10} x^{15}}{15}+\frac{A \,a^{10} x^{4}}{4}+\frac{\left(b^{10} A +10 a \,b^{9} B \right) x^{14}}{14}+\frac{\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) x^{13}}{13}+\frac{\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) x^{12}}{12}+\frac{\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) x^{11}}{11}+\frac{\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) x^{10}}{10}+\frac{\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) x^{9}}{9}+\frac{\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) x^{8}}{8}+\frac{\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) x^{7}}{7}+\frac{\left(45 a^{8} b^{2} A +10 a^{9} b B \right) x^{6}}{6}+\frac{\left(10 a^{9} b A +a^{10} B \right) x^{5}}{5}"," ",0,"1/15*b^10*B*x^15+1/14*(A*b^10+10*B*a*b^9)*x^14+1/13*(10*A*a*b^9+45*B*a^2*b^8)*x^13+1/12*(45*A*a^2*b^8+120*B*a^3*b^7)*x^12+1/11*(120*A*a^3*b^7+210*B*a^4*b^6)*x^11+1/10*(210*A*a^4*b^6+252*B*a^5*b^5)*x^10+1/9*(252*A*a^5*b^5+210*B*a^6*b^4)*x^9+1/8*(210*A*a^6*b^4+120*B*a^7*b^3)*x^8+1/7*(120*A*a^7*b^3+45*B*a^8*b^2)*x^7+1/6*(45*A*a^8*b^2+10*B*a^9*b)*x^6+1/5*(10*A*a^9*b+B*a^10)*x^5+1/4*a^10*A*x^4","B"
145,1,244,79,0.002000," ","int(x^2*(b*x+a)^10*(B*x+A),x)","\frac{B \,b^{10} x^{14}}{14}+\frac{A \,a^{10} x^{3}}{3}+\frac{\left(b^{10} A +10 a \,b^{9} B \right) x^{13}}{13}+\frac{\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) x^{12}}{12}+\frac{\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) x^{11}}{11}+\frac{\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) x^{10}}{10}+\frac{\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) x^{9}}{9}+\frac{\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) x^{8}}{8}+\frac{\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) x^{7}}{7}+\frac{\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) x^{6}}{6}+\frac{\left(45 a^{8} b^{2} A +10 a^{9} b B \right) x^{5}}{5}+\frac{\left(10 a^{9} b A +a^{10} B \right) x^{4}}{4}"," ",0,"1/14*b^10*B*x^14+1/13*(A*b^10+10*B*a*b^9)*x^13+1/12*(10*A*a*b^9+45*B*a^2*b^8)*x^12+1/11*(45*A*a^2*b^8+120*B*a^3*b^7)*x^11+1/10*(120*A*a^3*b^7+210*B*a^4*b^6)*x^10+1/9*(210*A*a^4*b^6+252*B*a^5*b^5)*x^9+1/8*(252*A*a^5*b^5+210*B*a^6*b^4)*x^8+1/7*(210*A*a^6*b^4+120*B*a^7*b^3)*x^7+1/6*(120*A*a^7*b^3+45*B*a^8*b^2)*x^6+1/5*(45*A*a^8*b^2+10*B*a^9*b)*x^5+1/4*(10*A*a^9*b+B*a^10)*x^4+1/3*a^10*A*x^3","B"
146,1,244,55,0.001000," ","int(x*(b*x+a)^10*(B*x+A),x)","\frac{B \,b^{10} x^{13}}{13}+\frac{A \,a^{10} x^{2}}{2}+\frac{\left(b^{10} A +10 a \,b^{9} B \right) x^{12}}{12}+\frac{\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) x^{11}}{11}+\frac{\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) x^{10}}{10}+\frac{\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) x^{9}}{9}+\frac{\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) x^{8}}{8}+\frac{\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) x^{7}}{7}+\frac{\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) x^{6}}{6}+\frac{\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) x^{5}}{5}+\frac{\left(45 a^{8} b^{2} A +10 a^{9} b B \right) x^{4}}{4}+\frac{\left(10 a^{9} b A +a^{10} B \right) x^{3}}{3}"," ",0,"1/13*b^10*B*x^13+1/12*(A*b^10+10*B*a*b^9)*x^12+1/11*(10*A*a*b^9+45*B*a^2*b^8)*x^11+1/10*(45*A*a^2*b^8+120*B*a^3*b^7)*x^10+1/9*(120*A*a^3*b^7+210*B*a^4*b^6)*x^9+1/8*(210*A*a^4*b^6+252*B*a^5*b^5)*x^8+1/7*(252*A*a^5*b^5+210*B*a^6*b^4)*x^7+1/6*(210*A*a^6*b^4+120*B*a^7*b^3)*x^6+1/5*(120*A*a^7*b^3+45*B*a^8*b^2)*x^5+1/4*(45*A*a^8*b^2+10*B*a^9*b)*x^4+1/3*(10*A*a^9*b+B*a^10)*x^3+1/2*a^10*A*x^2","B"
147,1,241,34,0.001000," ","int((b*x+a)^10*(B*x+A),x)","\frac{B \,b^{10} x^{12}}{12}+A \,a^{10} x +\frac{\left(b^{10} A +10 a \,b^{9} B \right) x^{11}}{11}+\frac{\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) x^{10}}{10}+\frac{\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) x^{9}}{9}+\frac{\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) x^{8}}{8}+\frac{\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) x^{7}}{7}+\frac{\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) x^{6}}{6}+\frac{\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) x^{5}}{5}+\frac{\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) x^{4}}{4}+\frac{\left(45 a^{8} b^{2} A +10 a^{9} b B \right) x^{3}}{3}+\frac{\left(10 a^{9} b A +a^{10} B \right) x^{2}}{2}"," ",0,"1/12*b^10*B*x^12+1/11*(A*b^10+10*B*a*b^9)*x^11+1/10*(10*A*a*b^9+45*B*a^2*b^8)*x^10+1/9*(45*A*a^2*b^8+120*B*a^3*b^7)*x^9+1/8*(120*A*a^3*b^7+210*B*a^4*b^6)*x^8+1/7*(210*A*a^4*b^6+252*B*a^5*b^5)*x^7+1/6*(252*A*a^5*b^5+210*B*a^6*b^4)*x^6+1/5*(210*A*a^6*b^4+120*B*a^7*b^3)*x^5+1/4*(120*A*a^7*b^3+45*B*a^8*b^2)*x^4+1/3*(45*A*a^8*b^2+10*B*a^9*b)*x^3+1/2*(10*A*a^9*b+B*a^10)*x^2+a^10*A*x","B"
148,1,238,132,0.004000," ","int((b*x+a)^10*(B*x+A)/x,x)","\frac{B \,b^{10} x^{11}}{11}+\frac{A \,b^{10} x^{10}}{10}+B a \,b^{9} x^{10}+\frac{10 A a \,b^{9} x^{9}}{9}+5 B \,a^{2} b^{8} x^{9}+\frac{45 A \,a^{2} b^{8} x^{8}}{8}+15 B \,a^{3} b^{7} x^{8}+\frac{120 A \,a^{3} b^{7} x^{7}}{7}+30 B \,a^{4} b^{6} x^{7}+35 A \,a^{4} b^{6} x^{6}+42 B \,a^{5} b^{5} x^{6}+\frac{252 A \,a^{5} b^{5} x^{5}}{5}+42 B \,a^{6} b^{4} x^{5}+\frac{105 A \,a^{6} b^{4} x^{4}}{2}+30 B \,a^{7} b^{3} x^{4}+40 A \,a^{7} b^{3} x^{3}+15 B \,a^{8} b^{2} x^{3}+\frac{45 A \,a^{8} b^{2} x^{2}}{2}+5 B \,a^{9} b \,x^{2}+A \,a^{10} \ln \left(x \right)+10 A \,a^{9} b x +B \,a^{10} x"," ",0,"1/11*B*b^10*x^11+1/10*A*b^10*x^10+B*x^10*a*b^9+10/9*a*A*b^9*x^9+5*B*x^9*a^2*b^8+45/8*a^2*A*b^8*x^8+15*B*x^8*a^3*b^7+120/7*a^3*A*b^7*x^7+30*B*x^7*a^4*b^6+35*a^4*A*b^6*x^6+42*B*x^6*a^5*b^5+252/5*a^5*A*b^5*x^5+42*B*x^5*a^6*b^4+105/2*a^6*A*b^4*x^4+30*B*x^4*a^7*b^3+40*a^7*A*b^3*x^3+15*B*x^3*a^8*b^2+45/2*a^8*A*b^2*x^2+5*B*x^2*a^9*b+10*a^9*A*b*x+a^10*B*x+a^10*A*ln(x)","A"
149,1,239,203,0.009000," ","int((b*x+a)^10*(B*x+A)/x^2,x)","\frac{B \,b^{10} x^{10}}{10}+\frac{A \,b^{10} x^{9}}{9}+\frac{10 B a \,b^{9} x^{9}}{9}+\frac{5 A a \,b^{9} x^{8}}{4}+\frac{45 B \,a^{2} b^{8} x^{8}}{8}+\frac{45 A \,a^{2} b^{8} x^{7}}{7}+\frac{120 B \,a^{3} b^{7} x^{7}}{7}+20 A \,a^{3} b^{7} x^{6}+35 B \,a^{4} b^{6} x^{6}+42 A \,a^{4} b^{6} x^{5}+\frac{252 B \,a^{5} b^{5} x^{5}}{5}+63 A \,a^{5} b^{5} x^{4}+\frac{105 B \,a^{6} b^{4} x^{4}}{2}+70 A \,a^{6} b^{4} x^{3}+40 B \,a^{7} b^{3} x^{3}+60 A \,a^{7} b^{3} x^{2}+\frac{45 B \,a^{8} b^{2} x^{2}}{2}+10 A \,a^{9} b \ln \left(x \right)+45 A \,a^{8} b^{2} x +B \,a^{10} \ln \left(x \right)+10 B \,a^{9} b x -\frac{A \,a^{10}}{x}"," ",0,"1/10*b^10*B*x^10+1/9*A*x^9*b^10+10/9*B*x^9*a*b^9+5/4*A*x^8*a*b^9+45/8*B*x^8*a^2*b^8+45/7*A*x^7*a^2*b^8+120/7*B*x^7*a^3*b^7+20*A*x^6*a^3*b^7+35*B*x^6*a^4*b^6+42*A*x^5*a^4*b^6+252/5*B*x^5*a^5*b^5+63*A*x^4*a^5*b^5+105/2*B*x^4*a^6*b^4+70*A*x^3*a^6*b^4+40*B*x^3*a^7*b^3+60*A*x^2*a^7*b^3+45/2*B*x^2*a^8*b^2+45*a^8*b^2*A*x+10*a^9*b*B*x-a^10*A/x+10*A*ln(x)*a^9*b+B*ln(x)*a^10","A"
150,1,240,204,0.009000," ","int((b*x+a)^10*(B*x+A)/x^3,x)","\frac{B \,b^{10} x^{9}}{9}+\frac{A \,b^{10} x^{8}}{8}+\frac{5 B a \,b^{9} x^{8}}{4}+\frac{10 A a \,b^{9} x^{7}}{7}+\frac{45 B \,a^{2} b^{8} x^{7}}{7}+\frac{15 A \,a^{2} b^{8} x^{6}}{2}+20 B \,a^{3} b^{7} x^{6}+24 A \,a^{3} b^{7} x^{5}+42 B \,a^{4} b^{6} x^{5}+\frac{105 A \,a^{4} b^{6} x^{4}}{2}+63 B \,a^{5} b^{5} x^{4}+84 A \,a^{5} b^{5} x^{3}+70 B \,a^{6} b^{4} x^{3}+105 A \,a^{6} b^{4} x^{2}+60 B \,a^{7} b^{3} x^{2}+45 A \,a^{8} b^{2} \ln \left(x \right)+120 A \,a^{7} b^{3} x +10 B \,a^{9} b \ln \left(x \right)+45 B \,a^{8} b^{2} x -\frac{10 A \,a^{9} b}{x}-\frac{B \,a^{10}}{x}-\frac{A \,a^{10}}{2 x^{2}}"," ",0,"1/9*b^10*B*x^9+1/8*A*x^8*b^10+5/4*B*x^8*a*b^9+10/7*A*x^7*a*b^9+45/7*B*x^7*a^2*b^8+15/2*A*x^6*a^2*b^8+20*B*x^6*a^3*b^7+24*A*x^5*a^3*b^7+42*B*x^5*a^4*b^6+105/2*A*x^4*a^4*b^6+63*B*x^4*a^5*b^5+84*A*x^3*a^5*b^5+70*B*x^3*a^6*b^4+105*A*x^2*a^6*b^4+60*B*x^2*a^7*b^3+120*a^7*b^3*A*x+45*a^8*b^2*B*x-10*a^9/x*A*b-a^10/x*B+45*A*ln(x)*a^8*b^2+10*B*ln(x)*a^9*b-1/2*a^10*A/x^2","A"
151,1,240,204,0.009000," ","int((b*x+a)^10*(B*x+A)/x^4,x)","\frac{B \,b^{10} x^{8}}{8}+\frac{A \,b^{10} x^{7}}{7}+\frac{10 B a \,b^{9} x^{7}}{7}+\frac{5 A a \,b^{9} x^{6}}{3}+\frac{15 B \,a^{2} b^{8} x^{6}}{2}+9 A \,a^{2} b^{8} x^{5}+24 B \,a^{3} b^{7} x^{5}+30 A \,a^{3} b^{7} x^{4}+\frac{105 B \,a^{4} b^{6} x^{4}}{2}+70 A \,a^{4} b^{6} x^{3}+84 B \,a^{5} b^{5} x^{3}+126 A \,a^{5} b^{5} x^{2}+105 B \,a^{6} b^{4} x^{2}+120 A \,a^{7} b^{3} \ln \left(x \right)+210 A \,a^{6} b^{4} x +45 B \,a^{8} b^{2} \ln \left(x \right)+120 B \,a^{7} b^{3} x -\frac{45 A \,a^{8} b^{2}}{x}-\frac{10 B \,a^{9} b}{x}-\frac{5 A \,a^{9} b}{x^{2}}-\frac{B \,a^{10}}{2 x^{2}}-\frac{A \,a^{10}}{3 x^{3}}"," ",0,"1/8*b^10*B*x^8+1/7*A*x^7*b^10+10/7*B*x^7*a*b^9+5/3*A*x^6*a*b^9+15/2*B*x^6*a^2*b^8+9*A*x^5*a^2*b^8+24*B*x^5*a^3*b^7+30*A*x^4*a^3*b^7+105/2*B*x^4*a^4*b^6+70*A*x^3*a^4*b^6+84*B*x^3*a^5*b^5+126*A*x^2*a^5*b^5+105*B*x^2*a^6*b^4+210*a^6*b^4*A*x+120*a^7*b^3*B*x-45*a^8*b^2/x*A-10*a^9*b/x*B+120*A*ln(x)*a^7*b^3+45*B*ln(x)*a^8*b^2-5*a^9/x^2*A*b-1/2*a^10/x^2*B-1/3*a^10*A/x^3","A"
152,1,240,203,0.009000," ","int((b*x+a)^10*(B*x+A)/x^5,x)","\frac{B \,b^{10} x^{7}}{7}+\frac{A \,b^{10} x^{6}}{6}+\frac{5 B a \,b^{9} x^{6}}{3}+2 A a \,b^{9} x^{5}+9 B \,a^{2} b^{8} x^{5}+\frac{45 A \,a^{2} b^{8} x^{4}}{4}+30 B \,a^{3} b^{7} x^{4}+40 A \,a^{3} b^{7} x^{3}+70 B \,a^{4} b^{6} x^{3}+105 A \,a^{4} b^{6} x^{2}+126 B \,a^{5} b^{5} x^{2}+210 A \,a^{6} b^{4} \ln \left(x \right)+252 A \,a^{5} b^{5} x +120 B \,a^{7} b^{3} \ln \left(x \right)+210 B \,a^{6} b^{4} x -\frac{120 A \,a^{7} b^{3}}{x}-\frac{45 B \,a^{8} b^{2}}{x}-\frac{45 A \,a^{8} b^{2}}{2 x^{2}}-\frac{5 B \,a^{9} b}{x^{2}}-\frac{10 A \,a^{9} b}{3 x^{3}}-\frac{B \,a^{10}}{3 x^{3}}-\frac{A \,a^{10}}{4 x^{4}}"," ",0,"1/7*b^10*B*x^7+1/6*A*x^6*b^10+5/3*B*x^6*a*b^9+2*A*x^5*a*b^9+9*B*x^5*a^2*b^8+45/4*A*x^4*a^2*b^8+30*B*x^4*a^3*b^7+40*A*x^3*a^3*b^7+70*B*x^3*a^4*b^6+105*A*x^2*a^4*b^6+126*B*x^2*a^5*b^5+252*a^5*b^5*A*x+210*a^6*b^4*B*x-120*a^7*b^3/x*A-45*a^8*b^2/x*B+210*A*ln(x)*a^6*b^4+120*B*ln(x)*a^7*b^3-45/2*a^8*b^2/x^2*A-5*a^9*b/x^2*B-10/3*a^9/x^3*A*b-1/3*a^10/x^3*B-1/4*a^10*A/x^4","A"
153,1,240,204,0.009000," ","int((b*x+a)^10*(B*x+A)/x^6,x)","\frac{B \,b^{10} x^{6}}{6}+\frac{A \,b^{10} x^{5}}{5}+2 B a \,b^{9} x^{5}+\frac{5 A a \,b^{9} x^{4}}{2}+\frac{45 B \,a^{2} b^{8} x^{4}}{4}+15 A \,a^{2} b^{8} x^{3}+40 B \,a^{3} b^{7} x^{3}+60 A \,a^{3} b^{7} x^{2}+105 B \,a^{4} b^{6} x^{2}+252 A \,a^{5} b^{5} \ln \left(x \right)+210 A \,a^{4} b^{6} x +210 B \,a^{6} b^{4} \ln \left(x \right)+252 B \,a^{5} b^{5} x -\frac{210 A \,a^{6} b^{4}}{x}-\frac{120 B \,a^{7} b^{3}}{x}-\frac{60 A \,a^{7} b^{3}}{x^{2}}-\frac{45 B \,a^{8} b^{2}}{2 x^{2}}-\frac{15 A \,a^{8} b^{2}}{x^{3}}-\frac{10 B \,a^{9} b}{3 x^{3}}-\frac{5 A \,a^{9} b}{2 x^{4}}-\frac{B \,a^{10}}{4 x^{4}}-\frac{A \,a^{10}}{5 x^{5}}"," ",0,"1/6*b^10*B*x^6+1/5*A*x^5*b^10+2*B*x^5*a*b^9+5/2*A*x^4*a*b^9+45/4*B*x^4*a^2*b^8+15*A*x^3*a^2*b^8+40*B*x^3*a^3*b^7+60*A*x^2*a^3*b^7+105*B*x^2*a^4*b^6+210*a^4*b^6*A*x+252*a^5*b^5*B*x-1/5*a^10*A/x^5-210*a^6*b^4/x*A-120*a^7*b^3/x*B+252*A*ln(x)*a^5*b^5+210*B*ln(x)*a^6*b^4-60*a^7*b^3/x^2*A-45/2*a^8*b^2/x^2*B-15*a^8*b^2/x^3*A-10/3*a^9*b/x^3*B-5/2*a^9/x^4*A*b-1/4*a^10/x^4*B","A"
154,1,240,204,0.012000," ","int((b*x+a)^10*(B*x+A)/x^7,x)","\frac{B \,b^{10} x^{5}}{5}+\frac{A \,b^{10} x^{4}}{4}+\frac{5 B a \,b^{9} x^{4}}{2}+\frac{10 A a \,b^{9} x^{3}}{3}+15 B \,a^{2} b^{8} x^{3}+\frac{45 A \,a^{2} b^{8} x^{2}}{2}+60 B \,a^{3} b^{7} x^{2}+210 A \,a^{4} b^{6} \ln \left(x \right)+120 A \,a^{3} b^{7} x +252 B \,a^{5} b^{5} \ln \left(x \right)+210 B \,a^{4} b^{6} x -\frac{252 A \,a^{5} b^{5}}{x}-\frac{210 B \,a^{6} b^{4}}{x}-\frac{105 A \,a^{6} b^{4}}{x^{2}}-\frac{60 B \,a^{7} b^{3}}{x^{2}}-\frac{40 A \,a^{7} b^{3}}{x^{3}}-\frac{15 B \,a^{8} b^{2}}{x^{3}}-\frac{45 A \,a^{8} b^{2}}{4 x^{4}}-\frac{5 B \,a^{9} b}{2 x^{4}}-\frac{2 A \,a^{9} b}{x^{5}}-\frac{B \,a^{10}}{5 x^{5}}-\frac{A \,a^{10}}{6 x^{6}}"," ",0,"1/5*b^10*B*x^5+1/4*A*x^4*b^10+5/2*B*x^4*a*b^9+10/3*A*x^3*a*b^9+15*B*x^3*a^2*b^8+45/2*A*x^2*a^2*b^8+60*B*x^2*a^3*b^7+120*a^3*b^7*A*x+210*a^4*b^6*B*x-1/6*a^10*A/x^6-2*a^9/x^5*A*b-1/5*a^10/x^5*B-252*a^5*b^5/x*A-210*a^6*b^4/x*B+210*A*ln(x)*a^4*b^6+252*B*ln(x)*a^5*b^5-105*a^6*b^4/x^2*A-60*a^7*b^3/x^2*B-40*a^7*b^3/x^3*A-15*a^8*b^2/x^3*B-45/4*a^8*b^2/x^4*A-5/2*a^9*b/x^4*B","A"
155,1,240,204,0.011000," ","int((b*x+a)^10*(B*x+A)/x^8,x)","\frac{B \,b^{10} x^{4}}{4}+\frac{A \,b^{10} x^{3}}{3}+\frac{10 B a \,b^{9} x^{3}}{3}+5 A a \,b^{9} x^{2}+\frac{45 B \,a^{2} b^{8} x^{2}}{2}+120 A \,a^{3} b^{7} \ln \left(x \right)+45 A \,a^{2} b^{8} x +210 B \,a^{4} b^{6} \ln \left(x \right)+120 B \,a^{3} b^{7} x -\frac{210 A \,a^{4} b^{6}}{x}-\frac{252 B \,a^{5} b^{5}}{x}-\frac{126 A \,a^{5} b^{5}}{x^{2}}-\frac{105 B \,a^{6} b^{4}}{x^{2}}-\frac{70 A \,a^{6} b^{4}}{x^{3}}-\frac{40 B \,a^{7} b^{3}}{x^{3}}-\frac{30 A \,a^{7} b^{3}}{x^{4}}-\frac{45 B \,a^{8} b^{2}}{4 x^{4}}-\frac{9 A \,a^{8} b^{2}}{x^{5}}-\frac{2 B \,a^{9} b}{x^{5}}-\frac{5 A \,a^{9} b}{3 x^{6}}-\frac{B \,a^{10}}{6 x^{6}}-\frac{A \,a^{10}}{7 x^{7}}"," ",0,"1/4*b^10*B*x^4+1/3*A*x^3*b^10+10/3*B*x^3*a*b^9+5*A*x^2*a*b^9+45/2*B*x^2*a^2*b^8+45*a^2*b^8*A*x+120*a^3*b^7*B*x-5/3*a^9/x^6*A*b-1/6*a^10/x^6*B-1/7*a^10*A/x^7-9*a^8*b^2/x^5*A-2*a^9*b/x^5*B-210*a^4*b^6/x*A-252*a^5*b^5/x*B+120*A*ln(x)*a^3*b^7+210*B*ln(x)*a^4*b^6-126*a^5*b^5/x^2*A-105*a^6*b^4/x^2*B-70*a^6*b^4/x^3*A-40*a^7*b^3/x^3*B-30*a^7*b^3/x^4*A-45/4*a^8*b^2/x^4*B","A"
156,1,240,204,0.011000," ","int((b*x+a)^10*(B*x+A)/x^9,x)","\frac{B \,b^{10} x^{3}}{3}+\frac{A \,b^{10} x^{2}}{2}+5 B a \,b^{9} x^{2}+45 A \,a^{2} b^{8} \ln \left(x \right)+10 A a \,b^{9} x +120 B \,a^{3} b^{7} \ln \left(x \right)+45 B \,a^{2} b^{8} x -\frac{120 A \,a^{3} b^{7}}{x}-\frac{210 B \,a^{4} b^{6}}{x}-\frac{105 A \,a^{4} b^{6}}{x^{2}}-\frac{126 B \,a^{5} b^{5}}{x^{2}}-\frac{84 A \,a^{5} b^{5}}{x^{3}}-\frac{70 B \,a^{6} b^{4}}{x^{3}}-\frac{105 A \,a^{6} b^{4}}{2 x^{4}}-\frac{30 B \,a^{7} b^{3}}{x^{4}}-\frac{24 A \,a^{7} b^{3}}{x^{5}}-\frac{9 B \,a^{8} b^{2}}{x^{5}}-\frac{15 A \,a^{8} b^{2}}{2 x^{6}}-\frac{5 B \,a^{9} b}{3 x^{6}}-\frac{10 A \,a^{9} b}{7 x^{7}}-\frac{B \,a^{10}}{7 x^{7}}-\frac{A \,a^{10}}{8 x^{8}}"," ",0,"1/3*b^10*B*x^3+1/2*A*x^2*b^10+5*B*x^2*a*b^9+10*a*b^9*A*x+45*a^2*b^8*B*x-15/2*a^8*b^2/x^6*A-5/3*a^9*b/x^6*B-10/7*a^9/x^7*A*b-1/7*a^10/x^7*B-24*a^7*b^3/x^5*A-9*a^8*b^2/x^5*B-120*a^3*b^7/x*A-210*a^4*b^6/x*B+45*A*ln(x)*a^2*b^8+120*B*ln(x)*a^3*b^7-105*a^4*b^6/x^2*A-126*a^5*b^5/x^2*B-1/8*a^10*A/x^8-84*a^5*b^5/x^3*A-70*a^6*b^4/x^3*B-105/2*a^6*b^4/x^4*A-30*a^7*b^3/x^4*B","A"
157,1,239,203,0.013000," ","int((b*x+a)^10*(B*x+A)/x^10,x)","\frac{B \,b^{10} x^{2}}{2}+10 A a \,b^{9} \ln \left(x \right)+A \,b^{10} x +45 B \,a^{2} b^{8} \ln \left(x \right)+10 B a \,b^{9} x -\frac{45 A \,a^{2} b^{8}}{x}-\frac{120 B \,a^{3} b^{7}}{x}-\frac{60 A \,a^{3} b^{7}}{x^{2}}-\frac{105 B \,a^{4} b^{6}}{x^{2}}-\frac{70 A \,a^{4} b^{6}}{x^{3}}-\frac{84 B \,a^{5} b^{5}}{x^{3}}-\frac{63 A \,a^{5} b^{5}}{x^{4}}-\frac{105 B \,a^{6} b^{4}}{2 x^{4}}-\frac{42 A \,a^{6} b^{4}}{x^{5}}-\frac{24 B \,a^{7} b^{3}}{x^{5}}-\frac{20 A \,a^{7} b^{3}}{x^{6}}-\frac{15 B \,a^{8} b^{2}}{2 x^{6}}-\frac{45 A \,a^{8} b^{2}}{7 x^{7}}-\frac{10 B \,a^{9} b}{7 x^{7}}-\frac{5 A \,a^{9} b}{4 x^{8}}-\frac{B \,a^{10}}{8 x^{8}}-\frac{A \,a^{10}}{9 x^{9}}"," ",0,"1/2*b^10*B*x^2+b^10*A*x+10*a*b^9*B*x-20*a^7*b^3/x^6*A-15/2*a^8*b^2/x^6*B-42*a^6*b^4/x^5*A-24*a^7*b^3/x^5*B-45*a^2*b^8/x*A-120*a^3*b^7/x*B+10*A*ln(x)*a*b^9+45*B*ln(x)*a^2*b^8-60*a^3*b^7/x^2*A-105*a^4*b^6/x^2*B-5/4*a^9/x^8*A*b-1/8*a^10/x^8*B-1/9*a^10*A/x^9-70*a^4*b^6/x^3*A-84*a^5*b^5/x^3*B-45/7*a^8*b^2/x^7*A-10/7*a^9*b/x^7*B-63*a^5*b^5/x^4*A-105/2*a^6*b^4/x^4*B","A"
158,1,240,202,0.011000," ","int((b*x+a)^10*(B*x+A)/x^11,x)","A \,b^{10} \ln \left(x \right)+10 B a \,b^{9} \ln \left(x \right)+B \,b^{10} x -\frac{10 A a \,b^{9}}{x}-\frac{45 B \,a^{2} b^{8}}{x}-\frac{45 A \,a^{2} b^{8}}{2 x^{2}}-\frac{60 B \,a^{3} b^{7}}{x^{2}}-\frac{40 A \,a^{3} b^{7}}{x^{3}}-\frac{70 B \,a^{4} b^{6}}{x^{3}}-\frac{105 A \,a^{4} b^{6}}{2 x^{4}}-\frac{63 B \,a^{5} b^{5}}{x^{4}}-\frac{252 A \,a^{5} b^{5}}{5 x^{5}}-\frac{42 B \,a^{6} b^{4}}{x^{5}}-\frac{35 A \,a^{6} b^{4}}{x^{6}}-\frac{20 B \,a^{7} b^{3}}{x^{6}}-\frac{120 A \,a^{7} b^{3}}{7 x^{7}}-\frac{45 B \,a^{8} b^{2}}{7 x^{7}}-\frac{45 A \,a^{8} b^{2}}{8 x^{8}}-\frac{5 B \,a^{9} b}{4 x^{8}}-\frac{10 A \,a^{9} b}{9 x^{9}}-\frac{B \,a^{10}}{9 x^{9}}-\frac{A \,a^{10}}{10 x^{10}}"," ",0,"b^10*B*x-120/7*a^7*b^3/x^7*A-45/7*a^8*b^2/x^7*B-35*a^6*b^4/x^6*A-20*a^7*b^3/x^6*B-252/5*a^5*b^5/x^5*A-42*a^6*b^4/x^5*B-10*a*b^9/x*A-45*a^2*b^8/x*B+A*ln(x)*b^10+10*B*ln(x)*a*b^9-45/2*a^2*b^8/x^2*A-60*a^3*b^7/x^2*B-45/8*a^8*b^2/x^8*A-5/4*a^9*b/x^8*B-10/9*a^9/x^9*A*b-1/9*a^10/x^9*B-1/10*a^10*A/x^10-40*a^3*b^7/x^3*A-70*a^4*b^6/x^3*B-105/2*a^4*b^6/x^4*A-63*a^5*b^5/x^4*B","A"
159,1,244,137,0.010000," ","int((b*x+a)^10*(B*x+A)/x^12,x)","B \,b^{10} \ln \left(x \right)-\frac{A \,b^{10}}{x}-\frac{10 B a \,b^{9}}{x}-\frac{5 A a \,b^{9}}{x^{2}}-\frac{45 B \,a^{2} b^{8}}{2 x^{2}}-\frac{15 A \,a^{2} b^{8}}{x^{3}}-\frac{40 B \,a^{3} b^{7}}{x^{3}}-\frac{30 A \,a^{3} b^{7}}{x^{4}}-\frac{105 B \,a^{4} b^{6}}{2 x^{4}}-\frac{42 A \,a^{4} b^{6}}{x^{5}}-\frac{252 B \,a^{5} b^{5}}{5 x^{5}}-\frac{42 A \,a^{5} b^{5}}{x^{6}}-\frac{35 B \,a^{6} b^{4}}{x^{6}}-\frac{30 A \,a^{6} b^{4}}{x^{7}}-\frac{120 B \,a^{7} b^{3}}{7 x^{7}}-\frac{15 A \,a^{7} b^{3}}{x^{8}}-\frac{45 B \,a^{8} b^{2}}{8 x^{8}}-\frac{5 A \,a^{8} b^{2}}{x^{9}}-\frac{10 B \,a^{9} b}{9 x^{9}}-\frac{A \,a^{9} b}{x^{10}}-\frac{B \,a^{10}}{10 x^{10}}-\frac{A \,a^{10}}{11 x^{11}}"," ",0,"-42*a^5*b^5/x^6*A-35*a^6*b^4*B/x^6-1/11*A*a^10/x^11-42*a^4*b^6/x^5*A-252/5*a^5*b^5*B/x^5-b^10/x*A-10*a*b^9*B/x+b^10*B*ln(x)-5*a*b^9/x^2*A-45/2*a^2*b^8*B/x^2-15*a^7*b^3/x^8*A-45/8*a^8*b^2*B/x^8-5*a^8*b^2/x^9*A-10/9*a^9*b*B/x^9-a^9/x^10*A*b-1/10*a^10*B/x^10-15*a^2*b^8/x^3*A-40*a^3*b^7*B/x^3-30*a^3*b^7/x^4*A-105/2*a^4*b^6*B/x^4-30*a^6*b^4/x^7*A-120/7*a^7*b^3*B/x^7","A"
160,1,208,40,0.007000," ","int((b*x+a)^10*(B*x+A)/x^13,x)","-\frac{B \,b^{10}}{x}-\frac{\left(A b +10 B a \right) b^{9}}{2 x^{2}}-\frac{5 \left(2 A b +9 B a \right) a \,b^{8}}{3 x^{3}}-\frac{15 \left(3 A b +8 B a \right) a^{2} b^{7}}{4 x^{4}}-\frac{6 \left(4 A b +7 B a \right) a^{3} b^{6}}{x^{5}}-\frac{7 \left(5 A b +6 B a \right) a^{4} b^{5}}{x^{6}}-\frac{6 \left(6 A b +5 B a \right) a^{5} b^{4}}{x^{7}}-\frac{15 \left(7 A b +4 B a \right) a^{6} b^{3}}{4 x^{8}}-\frac{5 \left(8 A b +3 B a \right) a^{7} b^{2}}{3 x^{9}}-\frac{A \,a^{10}}{12 x^{12}}-\frac{\left(9 A b +2 B a \right) a^{8} b}{2 x^{10}}-\frac{\left(10 A b +B a \right) a^{9}}{11 x^{11}}"," ",0,"-7*a^4*b^5*(5*A*b+6*B*a)/x^6-6*a^3*b^6*(4*A*b+7*B*a)/x^5-B*b^10/x-1/2*b^9*(A*b+10*B*a)/x^2-15/4*a^6*b^3*(7*A*b+4*B*a)/x^8-5/3*a^7*b^2*(8*A*b+3*B*a)/x^9-1/12*A*a^10/x^12-1/2*a^8*b*(9*A*b+2*B*a)/x^10-6*a^5*b^4*(6*A*b+5*B*a)/x^7-1/11*a^9*(10*A*b+B*a)/x^11-5/3*a*b^8*(2*A*b+9*B*a)/x^3-15/4*a^2*b^7*(3*A*b+8*B*a)/x^4","B"
161,1,208,66,0.007000," ","int((b*x+a)^10*(B*x+A)/x^14,x)","-\frac{B \,b^{10}}{2 x^{2}}-\frac{\left(A b +10 B a \right) b^{9}}{3 x^{3}}-\frac{5 \left(2 A b +9 B a \right) a \,b^{8}}{4 x^{4}}-\frac{3 \left(3 A b +8 B a \right) a^{2} b^{7}}{x^{5}}-\frac{5 \left(4 A b +7 B a \right) a^{3} b^{6}}{x^{6}}-\frac{6 \left(5 A b +6 B a \right) a^{4} b^{5}}{x^{7}}-\frac{21 \left(6 A b +5 B a \right) a^{5} b^{4}}{4 x^{8}}-\frac{10 \left(7 A b +4 B a \right) a^{6} b^{3}}{3 x^{9}}-\frac{3 \left(8 A b +3 B a \right) a^{7} b^{2}}{2 x^{10}}-\frac{A \,a^{10}}{13 x^{13}}-\frac{5 \left(9 A b +2 B a \right) a^{8} b}{11 x^{11}}-\frac{\left(10 A b +B a \right) a^{9}}{12 x^{12}}"," ",0,"-5/11*a^8*b*(9*A*b+2*B*a)/x^11-6*a^4*b^5*(5*A*b+6*B*a)/x^7-5*a^3*b^6*(4*A*b+7*B*a)/x^6-3*a^2*b^7*(3*A*b+8*B*a)/x^5-1/12*a^9*(10*A*b+B*a)/x^12-1/2*B*b^10/x^2-21/4*a^5*b^4*(6*A*b+5*B*a)/x^8-10/3*a^6*b^3*(7*A*b+4*B*a)/x^9-3/2*a^7*b^2*(8*A*b+3*B*a)/x^10-1/3*b^9*(A*b+10*B*a)/x^3-5/4*a*b^8*(2*A*b+9*B*a)/x^4-1/13*A*a^10/x^13","B"
162,1,208,93,0.008000," ","int((b*x+a)^10*(B*x+A)/x^15,x)","-\frac{B \,b^{10}}{3 x^{3}}-\frac{\left(A b +10 B a \right) b^{9}}{4 x^{4}}-\frac{\left(2 A b +9 B a \right) a \,b^{8}}{x^{5}}-\frac{5 \left(3 A b +8 B a \right) a^{2} b^{7}}{2 x^{6}}-\frac{30 \left(4 A b +7 B a \right) a^{3} b^{6}}{7 x^{7}}-\frac{21 \left(5 A b +6 B a \right) a^{4} b^{5}}{4 x^{8}}-\frac{14 \left(6 A b +5 B a \right) a^{5} b^{4}}{3 x^{9}}-\frac{3 \left(7 A b +4 B a \right) a^{6} b^{3}}{x^{10}}-\frac{15 \left(8 A b +3 B a \right) a^{7} b^{2}}{11 x^{11}}-\frac{A \,a^{10}}{14 x^{14}}-\frac{5 \left(9 A b +2 B a \right) a^{8} b}{12 x^{12}}-\frac{\left(10 A b +B a \right) a^{9}}{13 x^{13}}"," ",0,"-5/2*a^2*b^7*(3*A*b+8*B*a)/x^6-a*b^8*(2*A*b+9*B*a)/x^5-30/7*a^3*b^6*(4*A*b+7*B*a)/x^7-15/11*a^7*b^2*(8*A*b+3*B*a)/x^11-1/14*A*a^10/x^14-5/12*a^8*b*(9*A*b+2*B*a)/x^12-21/4*a^4*b^5*(5*A*b+6*B*a)/x^8-14/3*a^5*b^4*(6*A*b+5*B*a)/x^9-1/13*a^9*(10*A*b+B*a)/x^13-3*a^6*b^3*(7*A*b+4*B*a)/x^10-1/3*B*b^10/x^3-1/4*b^9*(A*b+10*B*a)/x^4","B"
163,1,208,120,0.006000," ","int((b*x+a)^10*(B*x+A)/x^16,x)","-\frac{B \,b^{10}}{4 x^{4}}-\frac{\left(A b +10 B a \right) b^{9}}{5 x^{5}}-\frac{5 \left(2 A b +9 B a \right) a \,b^{8}}{6 x^{6}}-\frac{15 \left(3 A b +8 B a \right) a^{2} b^{7}}{7 x^{7}}-\frac{15 \left(4 A b +7 B a \right) a^{3} b^{6}}{4 x^{8}}-\frac{14 \left(5 A b +6 B a \right) a^{4} b^{5}}{3 x^{9}}-\frac{21 \left(6 A b +5 B a \right) a^{5} b^{4}}{5 x^{10}}-\frac{30 \left(7 A b +4 B a \right) a^{6} b^{3}}{11 x^{11}}-\frac{5 \left(8 A b +3 B a \right) a^{7} b^{2}}{4 x^{12}}-\frac{A \,a^{10}}{15 x^{15}}-\frac{5 \left(9 A b +2 B a \right) a^{8} b}{13 x^{13}}-\frac{\left(10 A b +B a \right) a^{9}}{14 x^{14}}"," ",0,"-5/6*a*b^8*(2*A*b+9*B*a)/x^6-1/5*b^9*(A*b+10*B*a)/x^5-30/11*a^6*b^3*(7*A*b+4*B*a)/x^11-5/13*a^8*b*(9*A*b+2*B*a)/x^13-15/4*a^3*b^6*(4*A*b+7*B*a)/x^8-14/3*a^4*b^5*(5*A*b+6*B*a)/x^9-21/5*a^5*b^4*(6*A*b+5*B*a)/x^10-5/4*a^7*b^2*(8*A*b+3*B*a)/x^12-1/4*B*b^10/x^4-1/15*A*a^10/x^15-1/14*a^9*(10*A*b+B*a)/x^14-15/7*a^2*b^7*(3*A*b+8*B*a)/x^7","A"
164,1,208,147,0.009000," ","int((b*x+a)^10*(B*x+A)/x^17,x)","-\frac{B \,b^{10}}{5 x^{5}}-\frac{\left(A b +10 B a \right) b^{9}}{6 x^{6}}-\frac{5 \left(2 A b +9 B a \right) a \,b^{8}}{7 x^{7}}-\frac{15 \left(3 A b +8 B a \right) a^{2} b^{7}}{8 x^{8}}-\frac{10 \left(4 A b +7 B a \right) a^{3} b^{6}}{3 x^{9}}-\frac{21 \left(5 A b +6 B a \right) a^{4} b^{5}}{5 x^{10}}-\frac{42 \left(6 A b +5 B a \right) a^{5} b^{4}}{11 x^{11}}-\frac{5 \left(7 A b +4 B a \right) a^{6} b^{3}}{2 x^{12}}-\frac{15 \left(8 A b +3 B a \right) a^{7} b^{2}}{13 x^{13}}-\frac{A \,a^{10}}{16 x^{16}}-\frac{5 \left(9 A b +2 B a \right) a^{8} b}{14 x^{14}}-\frac{\left(10 A b +B a \right) a^{9}}{15 x^{15}}"," ",0,"-1/6*b^9*(A*b+10*B*a)/x^6-1/5*B*b^10/x^5-5/7*a*b^8*(2*A*b+9*B*a)/x^7-5/14*a^8*b*(9*A*b+2*B*a)/x^14-15/8*a^2*b^7*(3*A*b+8*B*a)/x^8-10/3*a^3*b^6*(4*A*b+7*B*a)/x^9-15/13*a^7*b^2*(8*A*b+3*B*a)/x^13-21/5*a^4*b^5*(5*A*b+6*B*a)/x^10-42/11*a^5*b^4*(6*A*b+5*B*a)/x^11-1/16*A*a^10/x^16-5/2*a^6*b^3*(7*A*b+4*B*a)/x^12-1/15*a^9*(10*A*b+B*a)/x^15","A"
165,1,208,174,0.008000," ","int((b*x+a)^10*(B*x+A)/x^18,x)","-\frac{B \,b^{10}}{6 x^{6}}-\frac{\left(A b +10 B a \right) b^{9}}{7 x^{7}}-\frac{5 \left(2 A b +9 B a \right) a \,b^{8}}{8 x^{8}}-\frac{5 \left(3 A b +8 B a \right) a^{2} b^{7}}{3 x^{9}}-\frac{3 \left(4 A b +7 B a \right) a^{3} b^{6}}{x^{10}}-\frac{42 \left(5 A b +6 B a \right) a^{4} b^{5}}{11 x^{11}}-\frac{7 \left(6 A b +5 B a \right) a^{5} b^{4}}{2 x^{12}}-\frac{30 \left(7 A b +4 B a \right) a^{6} b^{3}}{13 x^{13}}-\frac{15 \left(8 A b +3 B a \right) a^{7} b^{2}}{14 x^{14}}-\frac{A \,a^{10}}{17 x^{17}}-\frac{\left(9 A b +2 B a \right) a^{8} b}{3 x^{15}}-\frac{\left(10 A b +B a \right) a^{9}}{16 x^{16}}"," ",0,"-15/14*a^7*b^2*(8*A*b+3*B*a)/x^14-1/6*B*b^10/x^6-1/16*a^9*(10*A*b+B*a)/x^16-30/13*a^6*b^3*(7*A*b+4*B*a)/x^13-1/17*A*a^10/x^17-42/11*a^4*b^5*(5*A*b+6*B*a)/x^11-5/8*a*b^8*(2*A*b+9*B*a)/x^8-5/3*a^2*b^7*(3*A*b+8*B*a)/x^9-1/3*a^8*b*(9*A*b+2*B*a)/x^15-3*a^3*b^6*(4*A*b+7*B*a)/x^10-7/2*a^5*b^4*(6*A*b+5*B*a)/x^12-1/7*b^9*(A*b+10*B*a)/x^7","A"
166,1,208,207,0.006000," ","int((b*x+a)^10*(B*x+A)/x^19,x)","-\frac{B \,b^{10}}{7 x^{7}}-\frac{\left(A b +10 B a \right) b^{9}}{8 x^{8}}-\frac{5 \left(2 A b +9 B a \right) a \,b^{8}}{9 x^{9}}-\frac{3 \left(3 A b +8 B a \right) a^{2} b^{7}}{2 x^{10}}-\frac{30 \left(4 A b +7 B a \right) a^{3} b^{6}}{11 x^{11}}-\frac{7 \left(5 A b +6 B a \right) a^{4} b^{5}}{2 x^{12}}-\frac{42 \left(6 A b +5 B a \right) a^{5} b^{4}}{13 x^{13}}-\frac{15 \left(7 A b +4 B a \right) a^{6} b^{3}}{7 x^{14}}-\frac{\left(8 A b +3 B a \right) a^{7} b^{2}}{x^{15}}-\frac{A \,a^{10}}{18 x^{18}}-\frac{5 \left(9 A b +2 B a \right) a^{8} b}{16 x^{16}}-\frac{\left(10 A b +B a \right) a^{9}}{17 x^{17}}"," ",0,"-1/18*a^10*A/x^18-1/17*a^9*(10*A*b+B*a)/x^17-5/16*a^8*b*(9*A*b+2*B*a)/x^16-a^7*b^2*(8*A*b+3*B*a)/x^15-15/7*a^6*b^3*(7*A*b+4*B*a)/x^14-42/13*a^5*b^4*(6*A*b+5*B*a)/x^13-7/2*a^4*b^5*(5*A*b+6*B*a)/x^12-30/11*a^3*b^6*(4*A*b+7*B*a)/x^11-3/2*a^2*b^7*(3*A*b+8*B*a)/x^10-5/9*a*b^8*(2*A*b+9*B*a)/x^9-1/8*b^9*(A*b+10*B*a)/x^8-1/7*b^10*B/x^7","A"
167,1,208,207,0.007000," ","int((b*x+a)^10*(B*x+A)/x^20,x)","-\frac{B \,b^{10}}{8 x^{8}}-\frac{\left(A b +10 B a \right) b^{9}}{9 x^{9}}-\frac{\left(2 A b +9 B a \right) a \,b^{8}}{2 x^{10}}-\frac{15 \left(3 A b +8 B a \right) a^{2} b^{7}}{11 x^{11}}-\frac{5 \left(4 A b +7 B a \right) a^{3} b^{6}}{2 x^{12}}-\frac{42 \left(5 A b +6 B a \right) a^{4} b^{5}}{13 x^{13}}-\frac{3 \left(6 A b +5 B a \right) a^{5} b^{4}}{x^{14}}-\frac{2 \left(7 A b +4 B a \right) a^{6} b^{3}}{x^{15}}-\frac{15 \left(8 A b +3 B a \right) a^{7} b^{2}}{16 x^{16}}-\frac{A \,a^{10}}{19 x^{19}}-\frac{5 \left(9 A b +2 B a \right) a^{8} b}{17 x^{17}}-\frac{\left(10 A b +B a \right) a^{9}}{18 x^{18}}"," ",0,"-1/19*a^10*A/x^19-1/18*a^9*(10*A*b+B*a)/x^18-5/17*a^8*b*(9*A*b+2*B*a)/x^17-15/16*a^7*b^2*(8*A*b+3*B*a)/x^16-2*a^6*b^3*(7*A*b+4*B*a)/x^15-3*a^5*b^4*(6*A*b+5*B*a)/x^14-42/13*a^4*b^5*(5*A*b+6*B*a)/x^13-5/2*a^3*b^6*(4*A*b+7*B*a)/x^12-15/11*a^2*b^7*(3*A*b+8*B*a)/x^11-1/2*a*b^8*(2*A*b+9*B*a)/x^10-1/9*b^9*(A*b+10*B*a)/x^9-1/8*b^10*B/x^8","A"
168,1,208,207,0.010000," ","int((b*x+a)^10*(B*x+A)/x^21,x)","-\frac{B \,b^{10}}{9 x^{9}}-\frac{\left(A b +10 B a \right) b^{9}}{10 x^{10}}-\frac{5 \left(2 A b +9 B a \right) a \,b^{8}}{11 x^{11}}-\frac{5 \left(3 A b +8 B a \right) a^{2} b^{7}}{4 x^{12}}-\frac{30 \left(4 A b +7 B a \right) a^{3} b^{6}}{13 x^{13}}-\frac{3 \left(5 A b +6 B a \right) a^{4} b^{5}}{x^{14}}-\frac{14 \left(6 A b +5 B a \right) a^{5} b^{4}}{5 x^{15}}-\frac{15 \left(7 A b +4 B a \right) a^{6} b^{3}}{8 x^{16}}-\frac{15 \left(8 A b +3 B a \right) a^{7} b^{2}}{17 x^{17}}-\frac{A \,a^{10}}{20 x^{20}}-\frac{5 \left(9 A b +2 B a \right) a^{8} b}{18 x^{18}}-\frac{\left(10 A b +B a \right) a^{9}}{19 x^{19}}"," ",0,"-1/20*a^10*A/x^20-1/19*a^9*(10*A*b+B*a)/x^19-5/18*a^8*b*(9*A*b+2*B*a)/x^18-15/17*a^7*b^2*(8*A*b+3*B*a)/x^17-15/8*a^6*b^3*(7*A*b+4*B*a)/x^16-14/5*a^5*b^4*(6*A*b+5*B*a)/x^15-3*a^4*b^5*(5*A*b+6*B*a)/x^14-30/13*a^3*b^6*(4*A*b+7*B*a)/x^13-5/4*a^2*b^7*(3*A*b+8*B*a)/x^12-5/11*a*b^8*(2*A*b+9*B*a)/x^11-1/10*b^9*(A*b+10*B*a)/x^10-1/9*b^10*B/x^9","A"
169,1,388,104,0.001000," ","int(x^3*(b*x+a)*(d*x+c)^16,x)","\frac{b \,d^{16} x^{21}}{21}+\frac{a \,c^{16} x^{4}}{4}+\frac{\left(a \,d^{16}+16 b c \,d^{15}\right) x^{20}}{20}+\frac{\left(16 a c \,d^{15}+120 b \,c^{2} d^{14}\right) x^{19}}{19}+\frac{\left(120 a \,c^{2} d^{14}+560 b \,c^{3} d^{13}\right) x^{18}}{18}+\frac{\left(560 a \,c^{3} d^{13}+1820 b \,c^{4} d^{12}\right) x^{17}}{17}+\frac{\left(1820 a \,c^{4} d^{12}+4368 b \,c^{5} d^{11}\right) x^{16}}{16}+\frac{\left(4368 a \,c^{5} d^{11}+8008 b \,c^{6} d^{10}\right) x^{15}}{15}+\frac{\left(8008 a \,c^{6} d^{10}+11440 b \,c^{7} d^{9}\right) x^{14}}{14}+\frac{\left(11440 a \,c^{7} d^{9}+12870 b \,c^{8} d^{8}\right) x^{13}}{13}+\frac{\left(12870 a \,c^{8} d^{8}+11440 b \,c^{9} d^{7}\right) x^{12}}{12}+\frac{\left(11440 a \,c^{9} d^{7}+8008 b \,c^{10} d^{6}\right) x^{11}}{11}+\frac{\left(8008 a \,c^{10} d^{6}+4368 b \,c^{11} d^{5}\right) x^{10}}{10}+\frac{\left(4368 a \,c^{11} d^{5}+1820 b \,c^{12} d^{4}\right) x^{9}}{9}+\frac{\left(1820 a \,c^{12} d^{4}+560 b \,c^{13} d^{3}\right) x^{8}}{8}+\frac{\left(560 a \,c^{13} d^{3}+120 b \,c^{14} d^{2}\right) x^{7}}{7}+\frac{\left(120 a \,c^{14} d^{2}+16 b \,c^{15} d \right) x^{6}}{6}+\frac{\left(16 a \,c^{15} d +b \,c^{16}\right) x^{5}}{5}"," ",0,"1/21*b*d^16*x^21+1/20*(a*d^16+16*b*c*d^15)*x^20+1/19*(16*a*c*d^15+120*b*c^2*d^14)*x^19+1/18*(120*a*c^2*d^14+560*b*c^3*d^13)*x^18+1/17*(560*a*c^3*d^13+1820*b*c^4*d^12)*x^17+1/16*(1820*a*c^4*d^12+4368*b*c^5*d^11)*x^16+1/15*(4368*a*c^5*d^11+8008*b*c^6*d^10)*x^15+1/14*(8008*a*c^6*d^10+11440*b*c^7*d^9)*x^14+1/13*(11440*a*c^7*d^9+12870*b*c^8*d^8)*x^13+1/12*(12870*a*c^8*d^8+11440*b*c^9*d^7)*x^12+1/11*(11440*a*c^9*d^7+8008*b*c^10*d^6)*x^11+1/10*(8008*a*c^10*d^6+4368*b*c^11*d^5)*x^10+1/9*(4368*a*c^11*d^5+1820*b*c^12*d^4)*x^9+1/8*(1820*a*c^12*d^4+560*b*c^13*d^3)*x^8+1/7*(560*a*c^13*d^3+120*b*c^14*d^2)*x^7+1/6*(120*a*c^14*d^2+16*b*c^15*d)*x^6+1/5*(16*a*c^15*d+b*c^16)*x^5+1/4*a*c^16*x^4","B"
170,1,388,80,0.001000," ","int(x^2*(b*x+a)*(d*x+c)^16,x)","\frac{b \,d^{16} x^{20}}{20}+\frac{a \,c^{16} x^{3}}{3}+\frac{\left(a \,d^{16}+16 b c \,d^{15}\right) x^{19}}{19}+\frac{\left(16 a c \,d^{15}+120 b \,c^{2} d^{14}\right) x^{18}}{18}+\frac{\left(120 a \,c^{2} d^{14}+560 b \,c^{3} d^{13}\right) x^{17}}{17}+\frac{\left(560 a \,c^{3} d^{13}+1820 b \,c^{4} d^{12}\right) x^{16}}{16}+\frac{\left(1820 a \,c^{4} d^{12}+4368 b \,c^{5} d^{11}\right) x^{15}}{15}+\frac{\left(4368 a \,c^{5} d^{11}+8008 b \,c^{6} d^{10}\right) x^{14}}{14}+\frac{\left(8008 a \,c^{6} d^{10}+11440 b \,c^{7} d^{9}\right) x^{13}}{13}+\frac{\left(11440 a \,c^{7} d^{9}+12870 b \,c^{8} d^{8}\right) x^{12}}{12}+\frac{\left(12870 a \,c^{8} d^{8}+11440 b \,c^{9} d^{7}\right) x^{11}}{11}+\frac{\left(11440 a \,c^{9} d^{7}+8008 b \,c^{10} d^{6}\right) x^{10}}{10}+\frac{\left(8008 a \,c^{10} d^{6}+4368 b \,c^{11} d^{5}\right) x^{9}}{9}+\frac{\left(4368 a \,c^{11} d^{5}+1820 b \,c^{12} d^{4}\right) x^{8}}{8}+\frac{\left(1820 a \,c^{12} d^{4}+560 b \,c^{13} d^{3}\right) x^{7}}{7}+\frac{\left(560 a \,c^{13} d^{3}+120 b \,c^{14} d^{2}\right) x^{6}}{6}+\frac{\left(120 a \,c^{14} d^{2}+16 b \,c^{15} d \right) x^{5}}{5}+\frac{\left(16 a \,c^{15} d +b \,c^{16}\right) x^{4}}{4}"," ",0,"1/20*b*d^16*x^20+1/19*(a*d^16+16*b*c*d^15)*x^19+1/18*(16*a*c*d^15+120*b*c^2*d^14)*x^18+1/17*(120*a*c^2*d^14+560*b*c^3*d^13)*x^17+1/16*(560*a*c^3*d^13+1820*b*c^4*d^12)*x^16+1/15*(1820*a*c^4*d^12+4368*b*c^5*d^11)*x^15+1/14*(4368*a*c^5*d^11+8008*b*c^6*d^10)*x^14+1/13*(8008*a*c^6*d^10+11440*b*c^7*d^9)*x^13+1/12*(11440*a*c^7*d^9+12870*b*c^8*d^8)*x^12+1/11*(12870*a*c^8*d^8+11440*b*c^9*d^7)*x^11+1/10*(11440*a*c^9*d^7+8008*b*c^10*d^6)*x^10+1/9*(8008*a*c^10*d^6+4368*b*c^11*d^5)*x^9+1/8*(4368*a*c^11*d^5+1820*b*c^12*d^4)*x^8+1/7*(1820*a*c^12*d^4+560*b*c^13*d^3)*x^7+1/6*(560*a*c^13*d^3+120*b*c^14*d^2)*x^6+1/5*(120*a*c^14*d^2+16*b*c^15*d)*x^5+1/4*(16*a*c^15*d+b*c^16)*x^4+1/3*a*c^16*x^3","B"
171,1,388,56,0.002000," ","int(x*(b*x+a)*(d*x+c)^16,x)","\frac{b \,d^{16} x^{19}}{19}+\frac{a \,c^{16} x^{2}}{2}+\frac{\left(a \,d^{16}+16 b c \,d^{15}\right) x^{18}}{18}+\frac{\left(16 a c \,d^{15}+120 b \,c^{2} d^{14}\right) x^{17}}{17}+\frac{\left(120 a \,c^{2} d^{14}+560 b \,c^{3} d^{13}\right) x^{16}}{16}+\frac{\left(560 a \,c^{3} d^{13}+1820 b \,c^{4} d^{12}\right) x^{15}}{15}+\frac{\left(1820 a \,c^{4} d^{12}+4368 b \,c^{5} d^{11}\right) x^{14}}{14}+\frac{\left(4368 a \,c^{5} d^{11}+8008 b \,c^{6} d^{10}\right) x^{13}}{13}+\frac{\left(8008 a \,c^{6} d^{10}+11440 b \,c^{7} d^{9}\right) x^{12}}{12}+\frac{\left(11440 a \,c^{7} d^{9}+12870 b \,c^{8} d^{8}\right) x^{11}}{11}+\frac{\left(12870 a \,c^{8} d^{8}+11440 b \,c^{9} d^{7}\right) x^{10}}{10}+\frac{\left(11440 a \,c^{9} d^{7}+8008 b \,c^{10} d^{6}\right) x^{9}}{9}+\frac{\left(8008 a \,c^{10} d^{6}+4368 b \,c^{11} d^{5}\right) x^{8}}{8}+\frac{\left(4368 a \,c^{11} d^{5}+1820 b \,c^{12} d^{4}\right) x^{7}}{7}+\frac{\left(1820 a \,c^{12} d^{4}+560 b \,c^{13} d^{3}\right) x^{6}}{6}+\frac{\left(560 a \,c^{13} d^{3}+120 b \,c^{14} d^{2}\right) x^{5}}{5}+\frac{\left(120 a \,c^{14} d^{2}+16 b \,c^{15} d \right) x^{4}}{4}+\frac{\left(16 a \,c^{15} d +b \,c^{16}\right) x^{3}}{3}"," ",0,"1/19*b*d^16*x^19+1/18*(a*d^16+16*b*c*d^15)*x^18+1/17*(16*a*c*d^15+120*b*c^2*d^14)*x^17+1/16*(120*a*c^2*d^14+560*b*c^3*d^13)*x^16+1/15*(560*a*c^3*d^13+1820*b*c^4*d^12)*x^15+1/14*(1820*a*c^4*d^12+4368*b*c^5*d^11)*x^14+1/13*(4368*a*c^5*d^11+8008*b*c^6*d^10)*x^13+1/12*(8008*a*c^6*d^10+11440*b*c^7*d^9)*x^12+1/11*(11440*a*c^7*d^9+12870*b*c^8*d^8)*x^11+1/10*(12870*a*c^8*d^8+11440*b*c^9*d^7)*x^10+1/9*(11440*a*c^9*d^7+8008*b*c^10*d^6)*x^9+1/8*(8008*a*c^10*d^6+4368*b*c^11*d^5)*x^8+1/7*(4368*a*c^11*d^5+1820*b*c^12*d^4)*x^7+1/6*(1820*a*c^12*d^4+560*b*c^13*d^3)*x^6+1/5*(560*a*c^13*d^3+120*b*c^14*d^2)*x^5+1/4*(120*a*c^14*d^2+16*b*c^15*d)*x^4+1/3*(16*a*c^15*d+b*c^16)*x^3+1/2*a*c^16*x^2","B"
172,1,385,34,0.002000," ","int((b*x+a)*(d*x+c)^16,x)","\frac{b \,d^{16} x^{18}}{18}+a \,c^{16} x +\frac{\left(a \,d^{16}+16 b c \,d^{15}\right) x^{17}}{17}+\frac{\left(16 a c \,d^{15}+120 b \,c^{2} d^{14}\right) x^{16}}{16}+\frac{\left(120 a \,c^{2} d^{14}+560 b \,c^{3} d^{13}\right) x^{15}}{15}+\frac{\left(560 a \,c^{3} d^{13}+1820 b \,c^{4} d^{12}\right) x^{14}}{14}+\frac{\left(1820 a \,c^{4} d^{12}+4368 b \,c^{5} d^{11}\right) x^{13}}{13}+\frac{\left(4368 a \,c^{5} d^{11}+8008 b \,c^{6} d^{10}\right) x^{12}}{12}+\frac{\left(8008 a \,c^{6} d^{10}+11440 b \,c^{7} d^{9}\right) x^{11}}{11}+\frac{\left(11440 a \,c^{7} d^{9}+12870 b \,c^{8} d^{8}\right) x^{10}}{10}+\frac{\left(12870 a \,c^{8} d^{8}+11440 b \,c^{9} d^{7}\right) x^{9}}{9}+\frac{\left(11440 a \,c^{9} d^{7}+8008 b \,c^{10} d^{6}\right) x^{8}}{8}+\frac{\left(8008 a \,c^{10} d^{6}+4368 b \,c^{11} d^{5}\right) x^{7}}{7}+\frac{\left(4368 a \,c^{11} d^{5}+1820 b \,c^{12} d^{4}\right) x^{6}}{6}+\frac{\left(1820 a \,c^{12} d^{4}+560 b \,c^{13} d^{3}\right) x^{5}}{5}+\frac{\left(560 a \,c^{13} d^{3}+120 b \,c^{14} d^{2}\right) x^{4}}{4}+\frac{\left(120 a \,c^{14} d^{2}+16 b \,c^{15} d \right) x^{3}}{3}+\frac{\left(16 a \,c^{15} d +b \,c^{16}\right) x^{2}}{2}"," ",0,"1/18*b*d^16*x^18+1/17*(a*d^16+16*b*c*d^15)*x^17+1/16*(16*a*c*d^15+120*b*c^2*d^14)*x^16+1/15*(120*a*c^2*d^14+560*b*c^3*d^13)*x^15+1/14*(560*a*c^3*d^13+1820*b*c^4*d^12)*x^14+1/13*(1820*a*c^4*d^12+4368*b*c^5*d^11)*x^13+1/12*(4368*a*c^5*d^11+8008*b*c^6*d^10)*x^12+1/11*(8008*a*c^6*d^10+11440*b*c^7*d^9)*x^11+1/10*(11440*a*c^7*d^9+12870*b*c^8*d^8)*x^10+1/9*(12870*a*c^8*d^8+11440*b*c^9*d^7)*x^9+1/8*(11440*a*c^9*d^7+8008*b*c^10*d^6)*x^8+1/7*(8008*a*c^10*d^6+4368*b*c^11*d^5)*x^7+1/6*(4368*a*c^11*d^5+1820*b*c^12*d^4)*x^6+1/5*(1820*a*c^12*d^4+560*b*c^13*d^3)*x^5+1/4*(560*a*c^13*d^3+120*b*c^14*d^2)*x^4+1/3*(120*a*c^14*d^2+16*b*c^15*d)*x^3+1/2*(16*a*c^15*d+b*c^16)*x^2+a*c^16*x","B"
173,1,37,10,0.000000," ","int(x^2*(x+2)^5*(3*x+2),x)","\frac{1}{3} x^{9}+4 x^{8}+20 x^{7}+\frac{160}{3} x^{6}+80 x^{5}+64 x^{4}+\frac{64}{3} x^{3}"," ",0,"1/3*x^9+4*x^8+20*x^7+160/3*x^6+80*x^5+64*x^4+64/3*x^3","B"
174,1,124,100,0.006000," ","int(x^4*(B*x+A)/(b*x+a),x)","\frac{B \,x^{5}}{5 b}+\frac{A \,x^{4}}{4 b}-\frac{B a \,x^{4}}{4 b^{2}}-\frac{A a \,x^{3}}{3 b^{2}}+\frac{B \,a^{2} x^{3}}{3 b^{3}}+\frac{A \,a^{2} x^{2}}{2 b^{3}}-\frac{B \,a^{3} x^{2}}{2 b^{4}}+\frac{A \,a^{4} \ln \left(b x +a \right)}{b^{5}}-\frac{A \,a^{3} x}{b^{4}}-\frac{B \,a^{5} \ln \left(b x +a \right)}{b^{6}}+\frac{B \,a^{4} x}{b^{5}}"," ",0,"1/5*B*x^5/b+1/4/b*A*x^4-1/4/b^2*B*x^4*a-1/3/b^2*A*x^3*a+1/3/b^3*B*x^3*a^2+1/2/b^3*A*x^2*a^2-1/2/b^4*B*x^2*a^3-1/b^4*A*x*a^3+1/b^5*B*x*a^4+a^4/b^5*ln(b*x+a)*A-a^5/b^6*ln(b*x+a)*B","A"
175,1,100,81,0.005000," ","int(x^3*(B*x+A)/(b*x+a),x)","\frac{B \,x^{4}}{4 b}+\frac{A \,x^{3}}{3 b}-\frac{B a \,x^{3}}{3 b^{2}}-\frac{A a \,x^{2}}{2 b^{2}}+\frac{B \,a^{2} x^{2}}{2 b^{3}}-\frac{A \,a^{3} \ln \left(b x +a \right)}{b^{4}}+\frac{A \,a^{2} x}{b^{3}}+\frac{B \,a^{4} \ln \left(b x +a \right)}{b^{5}}-\frac{B \,a^{3} x}{b^{4}}"," ",0,"1/4*B*x^4/b+1/3/b*A*x^3-1/3/b^2*B*x^3*a-1/2/b^2*A*x^2*a+1/2/b^3*B*x^2*a^2+1/b^3*a^2*A*x-1/b^4*a^3*B*x-a^3/b^4*ln(b*x+a)*A+a^4/b^5*ln(b*x+a)*B","A"
176,1,76,62,0.004000," ","int(x^2*(B*x+A)/(b*x+a),x)","\frac{B \,x^{3}}{3 b}+\frac{A \,x^{2}}{2 b}-\frac{B a \,x^{2}}{2 b^{2}}+\frac{A \,a^{2} \ln \left(b x +a \right)}{b^{3}}-\frac{A a x}{b^{2}}-\frac{B \,a^{3} \ln \left(b x +a \right)}{b^{4}}+\frac{B \,a^{2} x}{b^{3}}"," ",0,"1/3*B*x^3/b+1/2/b*A*x^2-1/2/b^2*B*x^2*a-1/b^2*a*A*x+1/b^3*a^2*B*x+a^2/b^3*ln(b*x+a)*A-a^3/b^4*ln(b*x+a)*B","A"
177,1,52,43,0.003000," ","int(x*(B*x+A)/(b*x+a),x)","\frac{B \,x^{2}}{2 b}-\frac{A a \ln \left(b x +a \right)}{b^{2}}+\frac{A x}{b}+\frac{B \,a^{2} \ln \left(b x +a \right)}{b^{3}}-\frac{B a x}{b^{2}}"," ",0,"1/2*B*x^2/b+1/b*A*x-1/b^2*B*a*x-a/b^2*ln(b*x+a)*A+a^2/b^3*ln(b*x+a)*B","A"
178,1,32,25,0.003000," ","int((B*x+A)/(b*x+a),x)","\frac{A \ln \left(b x +a \right)}{b}-\frac{B a \ln \left(b x +a \right)}{b^{2}}+\frac{B x}{b}"," ",0,"B*x/b+1/b*ln(b*x+a)*A-1/b^2*ln(b*x+a)*B*a","A"
179,1,32,30,0.005000," ","int((B*x+A)/x/(b*x+a),x)","\frac{A \ln \left(x \right)}{a}-\frac{A \ln \left(b x +a \right)}{a}+\frac{B \ln \left(b x +a \right)}{b}"," ",0,"A*ln(x)/a-1/a*ln(b*x+a)*A+1/b*ln(b*x+a)*B","A"
180,1,51,43,0.007000," ","int((B*x+A)/x^2/(b*x+a),x)","-\frac{A b \ln \left(x \right)}{a^{2}}+\frac{A b \ln \left(b x +a \right)}{a^{2}}+\frac{B \ln \left(x \right)}{a}-\frac{B \ln \left(b x +a \right)}{a}-\frac{A}{a x}"," ",0,"-A/a/x-1/a^2*ln(x)*A*b+1/a*ln(x)*B+1/a^2*ln(b*x+a)*A*b-1/a*ln(b*x+a)*B","A"
181,1,75,60,0.010000," ","int((B*x+A)/x^3/(b*x+a),x)","\frac{A \,b^{2} \ln \left(x \right)}{a^{3}}-\frac{A \,b^{2} \ln \left(b x +a \right)}{a^{3}}-\frac{B b \ln \left(x \right)}{a^{2}}+\frac{B b \ln \left(b x +a \right)}{a^{2}}+\frac{A b}{a^{2} x}-\frac{B}{a x}-\frac{A}{2 a \,x^{2}}"," ",0,"-1/2*A/a/x^2+1/a^2/x*A*b-1/a/x*B+1/a^3*b^2*ln(x)*A-1/a^2*b*ln(x)*B-1/a^3*b^2*ln(b*x+a)*A+1/a^2*b*ln(b*x+a)*B","A"
182,1,101,82,0.008000," ","int((B*x+A)/x^4/(b*x+a),x)","-\frac{A \,b^{3} \ln \left(x \right)}{a^{4}}+\frac{A \,b^{3} \ln \left(b x +a \right)}{a^{4}}+\frac{B \,b^{2} \ln \left(x \right)}{a^{3}}-\frac{B \,b^{2} \ln \left(b x +a \right)}{a^{3}}-\frac{A \,b^{2}}{a^{3} x}+\frac{B b}{a^{2} x}+\frac{A b}{2 a^{2} x^{2}}-\frac{B}{2 a \,x^{2}}-\frac{A}{3 a \,x^{3}}"," ",0,"-1/3*A/a/x^3+1/2/a^2/x^2*A*b-1/2/a/x^2*B-1/a^3*b^2/x*A+1/a^2*b/x*B-1/a^4*b^3*ln(x)*A+1/a^3*b^2*ln(x)*B+1/a^4*b^3*ln(b*x+a)*A-1/a^3*b^2*ln(b*x+a)*B","A"
183,1,125,100,0.012000," ","int((B*x+A)/x^5/(b*x+a),x)","\frac{A \,b^{4} \ln \left(x \right)}{a^{5}}-\frac{A \,b^{4} \ln \left(b x +a \right)}{a^{5}}-\frac{B \,b^{3} \ln \left(x \right)}{a^{4}}+\frac{B \,b^{3} \ln \left(b x +a \right)}{a^{4}}+\frac{A \,b^{3}}{a^{4} x}-\frac{B \,b^{2}}{a^{3} x}-\frac{A \,b^{2}}{2 a^{3} x^{2}}+\frac{B b}{2 a^{2} x^{2}}+\frac{A b}{3 a^{2} x^{3}}-\frac{B}{3 a \,x^{3}}-\frac{A}{4 a \,x^{4}}"," ",0,"-1/4*A/a/x^4+1/3/a^2/x^3*A*b-1/3/a/x^3*B+1/a^5*b^4*ln(x)*A-1/a^4*b^3*ln(x)*B-1/2/a^3*b^2/x^2*A+1/2/a^2*b/x^2*B+1/a^4*b^3/x*A-1/a^3*b^2/x*B-1/a^5*b^4*ln(b*x+a)*A+1/a^4*b^3*ln(b*x+a)*B","A"
184,1,133,107,0.008000," ","int(x^4*(B*x+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^2*A*x-4/b^5*a^3*B*x-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"
185,1,109,86,0.008000," ","int(x^3*(B*x+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*x^3/b^2+1/2/b^2*A*x^2-1/b^3*B*x^2*a-2/b^3*a*A*x+3/b^4*a^2*B*x+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"
186,1,84,67,0.008000," ","int(x^2*(B*x+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"
187,1,61,45,0.007000," ","int(x*(B*x+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"
188,1,39,31,0.007000," ","int((B*x+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"
189,1,46,42,0.010000," ","int((B*x+A)/x/(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,"A*ln(x)/a^2+1/a/(b*x+a)*A-1/b/(b*x+a)*B-A*ln(b*x+a)/a^2","A"
190,1,78,64,0.010000," ","int((B*x+A)/x^2/(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,"-A/a^2/x-2/a^3*ln(x)*A*b+1/a^2*ln(x)*B+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"
191,1,107,83,0.012000," ","int((B*x+A)/x^3/(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,"-1/2*A/a^2/x^2+2/a^3/x*A*b-1/a^2/x*B+3*b^2/a^4*ln(x)*A-2*b/a^3*ln(x)*B-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","A"
192,1,134,109,0.011000," ","int((B*x+A)/x^4/(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,"-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*b^3/a^5*ln(x)*A+3*b^2/a^4*ln(x)*B+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","A"
193,1,142,110,0.010000," ","int(x^4*(B*x+A)/(b*x+a)^3,x)","\frac{B \,x^{3}}{3 b^{3}}-\frac{A \,a^{4}}{2 \left(b x +a \right)^{2} b^{5}}+\frac{A \,x^{2}}{2 b^{3}}+\frac{B \,a^{5}}{2 \left(b x +a \right)^{2} b^{6}}-\frac{3 B a \,x^{2}}{2 b^{4}}+\frac{4 A \,a^{3}}{\left(b x +a \right) b^{5}}+\frac{6 A \,a^{2} \ln \left(b x +a \right)}{b^{5}}-\frac{3 A a x}{b^{4}}-\frac{5 B \,a^{4}}{\left(b x +a \right) b^{6}}-\frac{10 B \,a^{3} \ln \left(b x +a \right)}{b^{6}}+\frac{6 B \,a^{2} x}{b^{5}}"," ",0,"1/3*B*x^3/b^3+1/2/b^3*A*x^2-3/2/b^4*B*x^2*a-3/b^4*a*A*x+6/b^5*a^2*B*x-1/2*a^4/b^5/(b*x+a)^2*A+1/2*a^5/b^6/(b*x+a)^2*B+6*a^2/b^5*ln(b*x+a)*A-10*a^3/b^6*ln(b*x+a)*B+4*a^3/b^5/(b*x+a)*A-5*a^4/b^6/(b*x+a)*B","A"
194,1,117,90,0.010000," ","int(x^3*(B*x+A)/(b*x+a)^3,x)","\frac{A \,a^{3}}{2 \left(b x +a \right)^{2} b^{4}}-\frac{B \,a^{4}}{2 \left(b x +a \right)^{2} b^{5}}+\frac{B \,x^{2}}{2 b^{3}}-\frac{3 A \,a^{2}}{\left(b x +a \right) b^{4}}-\frac{3 A a \ln \left(b x +a \right)}{b^{4}}+\frac{A x}{b^{3}}+\frac{4 B \,a^{3}}{\left(b x +a \right) b^{5}}+\frac{6 B \,a^{2} \ln \left(b x +a \right)}{b^{5}}-\frac{3 B a x}{b^{4}}"," ",0,"1/2*B*x^2/b^3+1/b^3*A*x-3/b^4*B*a*x+1/2*a^3/b^4/(b*x+a)^2*A-1/2*a^4/b^5/(b*x+a)^2*B-3*a/b^4*ln(b*x+a)*A+6*a^2/b^5*ln(b*x+a)*B-3*a^2/b^4/(b*x+a)*A+4*a^3/b^5/(b*x+a)*B","A"
195,1,94,69,0.009000," ","int(x^2*(B*x+A)/(b*x+a)^3,x)","-\frac{A \,a^{2}}{2 \left(b x +a \right)^{2} b^{3}}+\frac{B \,a^{3}}{2 \left(b x +a \right)^{2} b^{4}}+\frac{2 A a}{\left(b x +a \right) b^{3}}+\frac{A \ln \left(b x +a \right)}{b^{3}}-\frac{3 B \,a^{2}}{\left(b x +a \right) b^{4}}-\frac{3 B a \ln \left(b x +a \right)}{b^{4}}+\frac{B x}{b^{3}}"," ",0,"B*x/b^3-1/2*a^2/b^3/(b*x+a)^2*A+1/2*a^3/b^4/(b*x+a)^2*B+1/b^3*ln(b*x+a)*A-3/b^4*ln(b*x+a)*B*a+2*a/b^3/(b*x+a)*A-3*a^2/b^4/(b*x+a)*B","A"
196,1,70,53,0.006000," ","int(x*(B*x+A)/(b*x+a)^3,x)","\frac{A a}{2 \left(b x +a \right)^{2} b^{2}}-\frac{B \,a^{2}}{2 \left(b x +a \right)^{2} b^{3}}-\frac{A}{\left(b x +a \right) b^{2}}+\frac{2 B a}{\left(b x +a \right) b^{3}}+\frac{B \ln \left(b x +a \right)}{b^{3}}"," ",0,"1/2*a/b^2/(b*x+a)^2*A-1/2*a^2/b^3/(b*x+a)^2*B+B*ln(b*x+a)/b^3-1/b^2/(b*x+a)*A+2/b^3/(b*x+a)*B*a","A"
197,1,35,26,0.007000," ","int((B*x+A)/(b*x+a)^3,x)","-\frac{B}{\left(b x +a \right) b^{2}}-\frac{A b -B a}{2 \left(b x +a \right)^{2} b^{2}}"," ",0,"-1/2*(A*b-B*a)/b^2/(b*x+a)^2-B/b^2/(b*x+a)","A"
198,1,59,55,0.010000," ","int((B*x+A)/x/(b*x+a)^3,x)","\frac{A}{2 \left(b x +a \right)^{2} a}-\frac{B}{2 \left(b x +a \right)^{2} b}+\frac{A}{\left(b x +a \right) a^{2}}+\frac{A \ln \left(x \right)}{a^{3}}-\frac{A \ln \left(b x +a \right)}{a^{3}}"," ",0,"A*ln(x)/a^3+1/2/a/(b*x+a)^2*A-1/2/b/(b*x+a)^2*B-A*ln(b*x+a)/a^3+A/a^2/(b*x+a)","A"
199,1,105,84,0.013000," ","int((B*x+A)/x^2/(b*x+a)^3,x)","-\frac{A b}{2 \left(b x +a \right)^{2} a^{2}}+\frac{B}{2 \left(b x +a \right)^{2} a}-\frac{2 A b}{\left(b x +a \right) a^{3}}-\frac{3 A b \ln \left(x \right)}{a^{4}}+\frac{3 A b \ln \left(b x +a \right)}{a^{4}}+\frac{B}{\left(b x +a \right) a^{2}}+\frac{B \ln \left(x \right)}{a^{3}}-\frac{B \ln \left(b x +a \right)}{a^{3}}-\frac{A}{a^{3} x}"," ",0,"-A/a^3/x-3/a^4*ln(x)*A*b+1/a^3*ln(x)*B-2/a^3/(b*x+a)*A*b+1/a^2/(b*x+a)*B+3/a^4*ln(b*x+a)*A*b-1/a^3*ln(b*x+a)*B-1/2/a^2/(b*x+a)^2*A*b+1/2/a/(b*x+a)^2*B","A"
200,1,138,106,0.011000," ","int((B*x+A)/x^3/(b*x+a)^3,x)","\frac{A \,b^{2}}{2 \left(b x +a \right)^{2} a^{3}}-\frac{B b}{2 \left(b x +a \right)^{2} a^{2}}+\frac{3 A \,b^{2}}{\left(b x +a \right) a^{4}}+\frac{6 A \,b^{2} \ln \left(x \right)}{a^{5}}-\frac{6 A \,b^{2} \ln \left(b x +a \right)}{a^{5}}-\frac{2 B b}{\left(b x +a \right) a^{3}}-\frac{3 B b \ln \left(x \right)}{a^{4}}+\frac{3 B b \ln \left(b x +a \right)}{a^{4}}+\frac{3 A b}{a^{4} x}-\frac{B}{a^{3} x}-\frac{A}{2 a^{3} x^{2}}"," ",0,"-1/2*A/a^3/x^2+3/a^4/x*A*b-1/a^3/x*B+6*b^2/a^5*ln(x)*A-3*b/a^4*ln(x)*B-6*b^2/a^5*ln(b*x+a)*A+3*b/a^4*ln(b*x+a)*B+3*b^2/a^4/(b*x+a)*A-2*b/a^3/(b*x+a)*B+1/2*b^2/a^3/(b*x+a)^2*A-1/2*b/a^2/(b*x+a)^2*B","A"
201,1,168,134,0.013000," ","int((B*x+A)/x^4/(b*x+a)^3,x)","-\frac{A \,b^{3}}{2 \left(b x +a \right)^{2} a^{4}}+\frac{B \,b^{2}}{2 \left(b x +a \right)^{2} a^{3}}-\frac{4 A \,b^{3}}{\left(b x +a \right) a^{5}}-\frac{10 A \,b^{3} \ln \left(x \right)}{a^{6}}+\frac{10 A \,b^{3} \ln \left(b x +a \right)}{a^{6}}+\frac{3 B \,b^{2}}{\left(b x +a \right) a^{4}}+\frac{6 B \,b^{2} \ln \left(x \right)}{a^{5}}-\frac{6 B \,b^{2} \ln \left(b x +a \right)}{a^{5}}-\frac{6 A \,b^{2}}{a^{5} x}+\frac{3 B b}{a^{4} x}+\frac{3 A b}{2 a^{4} x^{2}}-\frac{B}{2 a^{3} x^{2}}-\frac{A}{3 a^{3} x^{3}}"," ",0,"-1/3*A/a^3/x^3+3/2/a^4/x^2*A*b-1/2/a^3/x^2*B-6*b^2/a^5/x*A+3*b/a^4/x*B-10*b^3/a^6*ln(x)*A+6*b^2/a^5*ln(x)*B-4*b^3/a^5/(b*x+a)*A+3*b^2/a^4/(b*x+a)*B-1/2*b^3/a^4/(b*x+a)^2*A+1/2*b^2/a^3/(b*x+a)^2*B+10*b^3/a^6*ln(b*x+a)*A-6*b^2/a^5*ln(b*x+a)*B","A"
202,1,622,165,0.001000," ","int(x^3*(b*x+a)^2*(d*x+c)^16,x)","\frac{b^{2} d^{16} x^{22}}{22}+\frac{a^{2} c^{16} x^{4}}{4}+\frac{\left(2 a b \,d^{16}+16 b^{2} c \,d^{15}\right) x^{21}}{21}+\frac{\left(a^{2} d^{16}+32 a b c \,d^{15}+120 b^{2} c^{2} d^{14}\right) x^{20}}{20}+\frac{\left(16 a^{2} c \,d^{15}+240 a b \,c^{2} d^{14}+560 b^{2} c^{3} d^{13}\right) x^{19}}{19}+\frac{\left(120 a^{2} c^{2} d^{14}+1120 a b \,c^{3} d^{13}+1820 b^{2} c^{4} d^{12}\right) x^{18}}{18}+\frac{\left(560 a^{2} c^{3} d^{13}+3640 a b \,c^{4} d^{12}+4368 b^{2} c^{5} d^{11}\right) x^{17}}{17}+\frac{\left(1820 a^{2} c^{4} d^{12}+8736 a b \,c^{5} d^{11}+8008 b^{2} c^{6} d^{10}\right) x^{16}}{16}+\frac{\left(4368 a^{2} c^{5} d^{11}+16016 a b \,c^{6} d^{10}+11440 b^{2} c^{7} d^{9}\right) x^{15}}{15}+\frac{\left(8008 a^{2} c^{6} d^{10}+22880 a b \,c^{7} d^{9}+12870 b^{2} c^{8} d^{8}\right) x^{14}}{14}+\frac{\left(11440 a^{2} c^{7} d^{9}+25740 a b \,c^{8} d^{8}+11440 b^{2} c^{9} d^{7}\right) x^{13}}{13}+\frac{\left(12870 a^{2} c^{8} d^{8}+22880 a b \,c^{9} d^{7}+8008 b^{2} c^{10} d^{6}\right) x^{12}}{12}+\frac{\left(11440 a^{2} c^{9} d^{7}+16016 a b \,c^{10} d^{6}+4368 b^{2} c^{11} d^{5}\right) x^{11}}{11}+\frac{\left(8008 a^{2} c^{10} d^{6}+8736 a b \,c^{11} d^{5}+1820 b^{2} c^{12} d^{4}\right) x^{10}}{10}+\frac{\left(4368 a^{2} c^{11} d^{5}+3640 a b \,c^{12} d^{4}+560 b^{2} c^{13} d^{3}\right) x^{9}}{9}+\frac{\left(1820 a^{2} c^{12} d^{4}+1120 a b \,c^{13} d^{3}+120 b^{2} c^{14} d^{2}\right) x^{8}}{8}+\frac{\left(560 a^{2} c^{13} d^{3}+240 a b \,c^{14} d^{2}+16 b^{2} c^{15} d \right) x^{7}}{7}+\frac{\left(120 a^{2} c^{14} d^{2}+32 a b \,c^{15} d +b^{2} c^{16}\right) x^{6}}{6}+\frac{\left(16 a^{2} c^{15} d +2 a b \,c^{16}\right) x^{5}}{5}"," ",0,"1/22*b^2*d^16*x^22+1/21*(2*a*b*d^16+16*b^2*c*d^15)*x^21+1/20*(a^2*d^16+32*a*b*c*d^15+120*b^2*c^2*d^14)*x^20+1/19*(16*a^2*c*d^15+240*a*b*c^2*d^14+560*b^2*c^3*d^13)*x^19+1/18*(120*a^2*c^2*d^14+1120*a*b*c^3*d^13+1820*b^2*c^4*d^12)*x^18+1/17*(560*a^2*c^3*d^13+3640*a*b*c^4*d^12+4368*b^2*c^5*d^11)*x^17+1/16*(1820*a^2*c^4*d^12+8736*a*b*c^5*d^11+8008*b^2*c^6*d^10)*x^16+1/15*(4368*a^2*c^5*d^11+16016*a*b*c^6*d^10+11440*b^2*c^7*d^9)*x^15+1/14*(8008*a^2*c^6*d^10+22880*a*b*c^7*d^9+12870*b^2*c^8*d^8)*x^14+1/13*(11440*a^2*c^7*d^9+25740*a*b*c^8*d^8+11440*b^2*c^9*d^7)*x^13+1/12*(12870*a^2*c^8*d^8+22880*a*b*c^9*d^7+8008*b^2*c^10*d^6)*x^12+1/11*(11440*a^2*c^9*d^7+16016*a*b*c^10*d^6+4368*b^2*c^11*d^5)*x^11+1/10*(8008*a^2*c^10*d^6+8736*a*b*c^11*d^5+1820*b^2*c^12*d^4)*x^10+1/9*(4368*a^2*c^11*d^5+3640*a*b*c^12*d^4+560*b^2*c^13*d^3)*x^9+1/8*(1820*a^2*c^12*d^4+1120*a*b*c^13*d^3+120*b^2*c^14*d^2)*x^8+1/7*(560*a^2*c^13*d^3+240*a*b*c^14*d^2+16*b^2*c^15*d)*x^7+1/6*(120*a^2*c^14*d^2+32*a*b*c^15*d+b^2*c^16)*x^6+1/5*(16*a^2*c^15*d+2*a*b*c^16)*x^5+1/4*a^2*c^16*x^4","B"
203,1,622,127,0.001000," ","int(x^2*(b*x+a)^2*(d*x+c)^16,x)","\frac{b^{2} d^{16} x^{21}}{21}+\frac{a^{2} c^{16} x^{3}}{3}+\frac{\left(2 a b \,d^{16}+16 b^{2} c \,d^{15}\right) x^{20}}{20}+\frac{\left(a^{2} d^{16}+32 a b c \,d^{15}+120 b^{2} c^{2} d^{14}\right) x^{19}}{19}+\frac{\left(16 a^{2} c \,d^{15}+240 a b \,c^{2} d^{14}+560 b^{2} c^{3} d^{13}\right) x^{18}}{18}+\frac{\left(120 a^{2} c^{2} d^{14}+1120 a b \,c^{3} d^{13}+1820 b^{2} c^{4} d^{12}\right) x^{17}}{17}+\frac{\left(560 a^{2} c^{3} d^{13}+3640 a b \,c^{4} d^{12}+4368 b^{2} c^{5} d^{11}\right) x^{16}}{16}+\frac{\left(1820 a^{2} c^{4} d^{12}+8736 a b \,c^{5} d^{11}+8008 b^{2} c^{6} d^{10}\right) x^{15}}{15}+\frac{\left(4368 a^{2} c^{5} d^{11}+16016 a b \,c^{6} d^{10}+11440 b^{2} c^{7} d^{9}\right) x^{14}}{14}+\frac{\left(8008 a^{2} c^{6} d^{10}+22880 a b \,c^{7} d^{9}+12870 b^{2} c^{8} d^{8}\right) x^{13}}{13}+\frac{\left(11440 a^{2} c^{7} d^{9}+25740 a b \,c^{8} d^{8}+11440 b^{2} c^{9} d^{7}\right) x^{12}}{12}+\frac{\left(12870 a^{2} c^{8} d^{8}+22880 a b \,c^{9} d^{7}+8008 b^{2} c^{10} d^{6}\right) x^{11}}{11}+\frac{\left(11440 a^{2} c^{9} d^{7}+16016 a b \,c^{10} d^{6}+4368 b^{2} c^{11} d^{5}\right) x^{10}}{10}+\frac{\left(8008 a^{2} c^{10} d^{6}+8736 a b \,c^{11} d^{5}+1820 b^{2} c^{12} d^{4}\right) x^{9}}{9}+\frac{\left(4368 a^{2} c^{11} d^{5}+3640 a b \,c^{12} d^{4}+560 b^{2} c^{13} d^{3}\right) x^{8}}{8}+\frac{\left(1820 a^{2} c^{12} d^{4}+1120 a b \,c^{13} d^{3}+120 b^{2} c^{14} d^{2}\right) x^{7}}{7}+\frac{\left(560 a^{2} c^{13} d^{3}+240 a b \,c^{14} d^{2}+16 b^{2} c^{15} d \right) x^{6}}{6}+\frac{\left(120 a^{2} c^{14} d^{2}+32 a b \,c^{15} d +b^{2} c^{16}\right) x^{5}}{5}+\frac{\left(16 a^{2} c^{15} d +2 a b \,c^{16}\right) x^{4}}{4}"," ",0,"1/21*b^2*d^16*x^21+1/20*(2*a*b*d^16+16*b^2*c*d^15)*x^20+1/19*(a^2*d^16+32*a*b*c*d^15+120*b^2*c^2*d^14)*x^19+1/18*(16*a^2*c*d^15+240*a*b*c^2*d^14+560*b^2*c^3*d^13)*x^18+1/17*(120*a^2*c^2*d^14+1120*a*b*c^3*d^13+1820*b^2*c^4*d^12)*x^17+1/16*(560*a^2*c^3*d^13+3640*a*b*c^4*d^12+4368*b^2*c^5*d^11)*x^16+1/15*(1820*a^2*c^4*d^12+8736*a*b*c^5*d^11+8008*b^2*c^6*d^10)*x^15+1/14*(4368*a^2*c^5*d^11+16016*a*b*c^6*d^10+11440*b^2*c^7*d^9)*x^14+1/13*(8008*a^2*c^6*d^10+22880*a*b*c^7*d^9+12870*b^2*c^8*d^8)*x^13+1/12*(11440*a^2*c^7*d^9+25740*a*b*c^8*d^8+11440*b^2*c^9*d^7)*x^12+1/11*(12870*a^2*c^8*d^8+22880*a*b*c^9*d^7+8008*b^2*c^10*d^6)*x^11+1/10*(11440*a^2*c^9*d^7+16016*a*b*c^10*d^6+4368*b^2*c^11*d^5)*x^10+1/9*(8008*a^2*c^10*d^6+8736*a*b*c^11*d^5+1820*b^2*c^12*d^4)*x^9+1/8*(4368*a^2*c^11*d^5+3640*a*b*c^12*d^4+560*b^2*c^13*d^3)*x^8+1/7*(1820*a^2*c^12*d^4+1120*a*b*c^13*d^3+120*b^2*c^14*d^2)*x^7+1/6*(560*a^2*c^13*d^3+240*a*b*c^14*d^2+16*b^2*c^15*d)*x^6+1/5*(120*a^2*c^14*d^2+32*a*b*c^15*d+b^2*c^16)*x^5+1/4*(16*a^2*c^15*d+2*a*b*c^16)*x^4+1/3*a^2*c^16*x^3","B"
204,1,622,90,0.001000," ","int(x*(b*x+a)^2*(d*x+c)^16,x)","\frac{b^{2} d^{16} x^{20}}{20}+\frac{a^{2} c^{16} x^{2}}{2}+\frac{\left(2 a b \,d^{16}+16 b^{2} c \,d^{15}\right) x^{19}}{19}+\frac{\left(a^{2} d^{16}+32 a b c \,d^{15}+120 b^{2} c^{2} d^{14}\right) x^{18}}{18}+\frac{\left(16 a^{2} c \,d^{15}+240 a b \,c^{2} d^{14}+560 b^{2} c^{3} d^{13}\right) x^{17}}{17}+\frac{\left(120 a^{2} c^{2} d^{14}+1120 a b \,c^{3} d^{13}+1820 b^{2} c^{4} d^{12}\right) x^{16}}{16}+\frac{\left(560 a^{2} c^{3} d^{13}+3640 a b \,c^{4} d^{12}+4368 b^{2} c^{5} d^{11}\right) x^{15}}{15}+\frac{\left(1820 a^{2} c^{4} d^{12}+8736 a b \,c^{5} d^{11}+8008 b^{2} c^{6} d^{10}\right) x^{14}}{14}+\frac{\left(4368 a^{2} c^{5} d^{11}+16016 a b \,c^{6} d^{10}+11440 b^{2} c^{7} d^{9}\right) x^{13}}{13}+\frac{\left(8008 a^{2} c^{6} d^{10}+22880 a b \,c^{7} d^{9}+12870 b^{2} c^{8} d^{8}\right) x^{12}}{12}+\frac{\left(11440 a^{2} c^{7} d^{9}+25740 a b \,c^{8} d^{8}+11440 b^{2} c^{9} d^{7}\right) x^{11}}{11}+\frac{\left(12870 a^{2} c^{8} d^{8}+22880 a b \,c^{9} d^{7}+8008 b^{2} c^{10} d^{6}\right) x^{10}}{10}+\frac{\left(11440 a^{2} c^{9} d^{7}+16016 a b \,c^{10} d^{6}+4368 b^{2} c^{11} d^{5}\right) x^{9}}{9}+\frac{\left(8008 a^{2} c^{10} d^{6}+8736 a b \,c^{11} d^{5}+1820 b^{2} c^{12} d^{4}\right) x^{8}}{8}+\frac{\left(4368 a^{2} c^{11} d^{5}+3640 a b \,c^{12} d^{4}+560 b^{2} c^{13} d^{3}\right) x^{7}}{7}+\frac{\left(1820 a^{2} c^{12} d^{4}+1120 a b \,c^{13} d^{3}+120 b^{2} c^{14} d^{2}\right) x^{6}}{6}+\frac{\left(560 a^{2} c^{13} d^{3}+240 a b \,c^{14} d^{2}+16 b^{2} c^{15} d \right) x^{5}}{5}+\frac{\left(120 a^{2} c^{14} d^{2}+32 a b \,c^{15} d +b^{2} c^{16}\right) x^{4}}{4}+\frac{\left(16 a^{2} c^{15} d +2 a b \,c^{16}\right) x^{3}}{3}"," ",0,"1/20*b^2*d^16*x^20+1/19*(2*a*b*d^16+16*b^2*c*d^15)*x^19+1/18*(a^2*d^16+32*a*b*c*d^15+120*b^2*c^2*d^14)*x^18+1/17*(16*a^2*c*d^15+240*a*b*c^2*d^14+560*b^2*c^3*d^13)*x^17+1/16*(120*a^2*c^2*d^14+1120*a*b*c^3*d^13+1820*b^2*c^4*d^12)*x^16+1/15*(560*a^2*c^3*d^13+3640*a*b*c^4*d^12+4368*b^2*c^5*d^11)*x^15+1/14*(1820*a^2*c^4*d^12+8736*a*b*c^5*d^11+8008*b^2*c^6*d^10)*x^14+1/13*(4368*a^2*c^5*d^11+16016*a*b*c^6*d^10+11440*b^2*c^7*d^9)*x^13+1/12*(8008*a^2*c^6*d^10+22880*a*b*c^7*d^9+12870*b^2*c^8*d^8)*x^12+1/11*(11440*a^2*c^7*d^9+25740*a*b*c^8*d^8+11440*b^2*c^9*d^7)*x^11+1/10*(12870*a^2*c^8*d^8+22880*a*b*c^9*d^7+8008*b^2*c^10*d^6)*x^10+1/9*(11440*a^2*c^9*d^7+16016*a*b*c^10*d^6+4368*b^2*c^11*d^5)*x^9+1/8*(8008*a^2*c^10*d^6+8736*a*b*c^11*d^5+1820*b^2*c^12*d^4)*x^8+1/7*(4368*a^2*c^11*d^5+3640*a*b*c^12*d^4+560*b^2*c^13*d^3)*x^7+1/6*(1820*a^2*c^12*d^4+1120*a*b*c^13*d^3+120*b^2*c^14*d^2)*x^6+1/5*(560*a^2*c^13*d^3+240*a*b*c^14*d^2+16*b^2*c^15*d)*x^5+1/4*(120*a^2*c^14*d^2+32*a*b*c^15*d+b^2*c^16)*x^4+1/3*(16*a^2*c^15*d+2*a*b*c^16)*x^3+1/2*a^2*c^16*x^2","B"
205,1,100,81,0.003000," ","int(x^3*(d*x+c)/(b*x+a),x)","\frac{d \,x^{4}}{4 b}-\frac{a d \,x^{3}}{3 b^{2}}+\frac{c \,x^{3}}{3 b}+\frac{a^{2} d \,x^{2}}{2 b^{3}}-\frac{a c \,x^{2}}{2 b^{2}}+\frac{a^{4} d \ln \left(b x +a \right)}{b^{5}}-\frac{a^{3} c \ln \left(b x +a \right)}{b^{4}}-\frac{a^{3} d x}{b^{4}}+\frac{a^{2} c x}{b^{3}}"," ",0,"1/4*d*x^4/b-1/3/b^2*x^3*a*d+1/3/b*x^3*c+1/2/b^3*x^2*a^2*d-1/2/b^2*x^2*a*c-1/b^4*x*a^3*d+1/b^3*x*a^2*c+a^4/b^5*ln(b*x+a)*d-a^3/b^4*ln(b*x+a)*c","A"
206,1,76,62,0.003000," ","int(x^2*(d*x+c)/(b*x+a),x)","\frac{d \,x^{3}}{3 b}-\frac{a d \,x^{2}}{2 b^{2}}+\frac{c \,x^{2}}{2 b}-\frac{a^{3} d \ln \left(b x +a \right)}{b^{4}}+\frac{a^{2} c \ln \left(b x +a \right)}{b^{3}}+\frac{a^{2} d x}{b^{3}}-\frac{a c x}{b^{2}}"," ",0,"1/3*d*x^3/b-1/2/b^2*x^2*a*d+1/2/b*x^2*c+1/b^3*x*a^2*d-1/b^2*x*a*c-a^3/b^4*ln(b*x+a)*d+a^2/b^3*ln(b*x+a)*c","A"
207,1,52,43,0.003000," ","int(x*(d*x+c)/(b*x+a),x)","\frac{d \,x^{2}}{2 b}+\frac{a^{2} d \ln \left(b x +a \right)}{b^{3}}-\frac{a c \ln \left(b x +a \right)}{b^{2}}-\frac{a d x}{b^{2}}+\frac{c x}{b}"," ",0,"1/2*d*x^2/b-1/b^2*x*a*d+1/b*x*c+a^2/b^3*ln(b*x+a)*d-a/b^2*ln(b*x+a)*c","A"
208,1,32,25,0.004000," ","int((d*x+c)/(b*x+a),x)","-\frac{a d \ln \left(b x +a \right)}{b^{2}}+\frac{c \ln \left(b x +a \right)}{b}+\frac{d x}{b}"," ",0,"1/b*d*x-1/b^2*ln(b*x+a)*a*d+1/b*ln(b*x+a)*c","A"
209,1,32,30,0.006000," ","int((d*x+c)/x/(b*x+a),x)","\frac{c \ln \left(x \right)}{a}-\frac{c \ln \left(b x +a \right)}{a}+\frac{d \ln \left(b x +a \right)}{b}"," ",0,"c*ln(x)/a+1/b*ln(b*x+a)*d-1/a*ln(b*x+a)*c","A"
210,1,51,43,0.008000," ","int((d*x+c)/x^2/(b*x+a),x)","\frac{d \ln \left(x \right)}{a}-\frac{d \ln \left(b x +a \right)}{a}-\frac{b c \ln \left(x \right)}{a^{2}}+\frac{b c \ln \left(b x +a \right)}{a^{2}}-\frac{c}{a x}"," ",0,"-c/a/x+1/a*ln(x)*d-1/a^2*ln(x)*b*c-1/a*ln(b*x+a)*d+1/a^2*ln(b*x+a)*b*c","A"
211,1,75,60,0.008000," ","int((d*x+c)/x^3/(b*x+a),x)","-\frac{b d \ln \left(x \right)}{a^{2}}+\frac{b d \ln \left(b x +a \right)}{a^{2}}+\frac{b^{2} c \ln \left(x \right)}{a^{3}}-\frac{b^{2} c \ln \left(b x +a \right)}{a^{3}}-\frac{d}{a x}+\frac{b c}{a^{2} x}-\frac{c}{2 a \,x^{2}}"," ",0,"-1/2*c/a/x^2-1/a/x*d+1/a^2/x*b*c-1/a^2*b*ln(x)*d+1/a^3*b^2*ln(x)*c+1/a^2*b*ln(b*x+a)*d-1/a^3*b^2*ln(b*x+a)*c","A"
212,1,101,82,0.009000," ","int((d*x+c)/x^4/(b*x+a),x)","\frac{b^{2} d \ln \left(x \right)}{a^{3}}-\frac{b^{2} d \ln \left(b x +a \right)}{a^{3}}-\frac{b^{3} c \ln \left(x \right)}{a^{4}}+\frac{b^{3} c \ln \left(b x +a \right)}{a^{4}}+\frac{b d}{a^{2} x}-\frac{b^{2} c}{a^{3} x}-\frac{d}{2 a \,x^{2}}+\frac{b c}{2 a^{2} x^{2}}-\frac{c}{3 a \,x^{3}}"," ",0,"-1/3*c/a/x^3-1/2/a/x^2*d+1/2/a^2/x^2*b*c+1/a^3*b^2*ln(x)*d-1/a^4*b^3*ln(x)*c+1/a^2*b/x*d-1/a^3*b^2/x*c-1/a^3*b^2*ln(b*x+a)*d+1/a^4*b^3*ln(b*x+a)*c","A"
213,1,192,109,0.004000," ","int(x^3*(d*x+c)^2/(b*x+a),x)","\frac{d^{2} x^{5}}{5 b}-\frac{a \,d^{2} x^{4}}{4 b^{2}}+\frac{c d \,x^{4}}{2 b}+\frac{a^{2} d^{2} x^{3}}{3 b^{3}}-\frac{2 a c d \,x^{3}}{3 b^{2}}+\frac{c^{2} x^{3}}{3 b}-\frac{a^{3} d^{2} x^{2}}{2 b^{4}}+\frac{a^{2} c d \,x^{2}}{b^{3}}-\frac{a \,c^{2} x^{2}}{2 b^{2}}-\frac{a^{5} d^{2} \ln \left(b x +a \right)}{b^{6}}+\frac{2 a^{4} c d \ln \left(b x +a \right)}{b^{5}}+\frac{a^{4} d^{2} x}{b^{5}}-\frac{a^{3} c^{2} \ln \left(b x +a \right)}{b^{4}}-\frac{2 a^{3} c d x}{b^{4}}+\frac{a^{2} c^{2} x}{b^{3}}"," ",0,"1/5*d^2*x^5/b-1/4/b^2*x^4*a*d^2+1/2/b*x^4*c*d+1/3/b^3*x^3*a^2*d^2-2/3/b^2*x^3*a*c*d+1/3/b*x^3*c^2-1/2/b^4*x^2*a^3*d^2+1/b^3*x^2*a^2*c*d-1/2/b^2*x^2*a*c^2+1/b^5*x*a^4*d^2-2/b^4*x*a^3*c*d+1/b^3*x*a^2*c^2-a^5/b^6*ln(b*x+a)*d^2+2*a^4/b^5*ln(b*x+a)*c*d-a^3/b^4*ln(b*x+a)*c^2","A"
214,1,152,88,0.003000," ","int(x^2*(d*x+c)^2/(b*x+a),x)","\frac{d^{2} x^{4}}{4 b}-\frac{a \,d^{2} x^{3}}{3 b^{2}}+\frac{2 c d \,x^{3}}{3 b}+\frac{a^{2} d^{2} x^{2}}{2 b^{3}}-\frac{a c d \,x^{2}}{b^{2}}+\frac{c^{2} x^{2}}{2 b}+\frac{a^{4} d^{2} \ln \left(b x +a \right)}{b^{5}}-\frac{2 a^{3} c d \ln \left(b x +a \right)}{b^{4}}-\frac{a^{3} d^{2} x}{b^{4}}+\frac{a^{2} c^{2} \ln \left(b x +a \right)}{b^{3}}+\frac{2 a^{2} c d x}{b^{3}}-\frac{a \,c^{2} x}{b^{2}}"," ",0,"1/4*d^2*x^4/b-1/3/b^2*x^3*a*d^2+2/3/b*x^3*c*d+1/2/b^3*x^2*a^2*d^2-1/b^2*x^2*a*c*d+1/2/b*x^2*c^2-1/b^4*x*a^3*d^2+2/b^3*x*a^2*c*d-1/b^2*x*a*c^2+a^4/b^5*ln(b*x+a)*d^2-2*a^3/b^4*ln(b*x+a)*c*d+a^2/b^3*ln(b*x+a)*c^2","A"
215,1,110,67,0.004000," ","int(x*(d*x+c)^2/(b*x+a),x)","\frac{d^{2} x^{3}}{3 b}-\frac{a \,d^{2} x^{2}}{2 b^{2}}+\frac{c d \,x^{2}}{b}-\frac{a^{3} d^{2} \ln \left(b x +a \right)}{b^{4}}+\frac{2 a^{2} c d \ln \left(b x +a \right)}{b^{3}}+\frac{a^{2} d^{2} x}{b^{3}}-\frac{a \,c^{2} \ln \left(b x +a \right)}{b^{2}}-\frac{2 a c d x}{b^{2}}+\frac{c^{2} x}{b}"," ",0,"1/3*d^2*x^3/b-1/2/b^2*x^2*a*d^2+1/b*x^2*c*d+1/b^3*x*a^2*d^2-2/b^2*x*a*c*d+1/b*x*c^2-a^3/b^4*ln(b*x+a)*d^2+2*a^2/b^3*ln(b*x+a)*c*d-a/b^2*ln(b*x+a)*c^2","A"
216,1,74,47,0.003000," ","int((d*x+c)^2/(b*x+a),x)","\frac{d^{2} x^{2}}{2 b}+\frac{a^{2} d^{2} \ln \left(b x +a \right)}{b^{3}}-\frac{2 a c d \ln \left(b x +a \right)}{b^{2}}-\frac{a \,d^{2} x}{b^{2}}+\frac{c^{2} \ln \left(b x +a \right)}{b}+\frac{2 c d x}{b}"," ",0,"1/2*d^2/b*x^2-d^2/b^2*x*a+2*d/b*x*c+1/b^3*ln(b*x+a)*a^2*d^2-2/b^2*ln(b*x+a)*a*c*d+1/b*ln(b*x+a)*c^2","A"
217,1,61,42,0.007000," ","int((d*x+c)^2/x/(b*x+a),x)","-\frac{a \,d^{2} \ln \left(b x +a \right)}{b^{2}}+\frac{c^{2} \ln \left(x \right)}{a}-\frac{c^{2} \ln \left(b x +a \right)}{a}+\frac{2 c d \ln \left(b x +a \right)}{b}+\frac{d^{2} x}{b}"," ",0,"d^2*x/b+c^2*ln(x)/a-a/b^2*ln(b*x+a)*d^2+2/b*ln(b*x+a)*c*d-1/a*ln(b*x+a)*c^2","A"
218,1,73,51,0.008000," ","int((d*x+c)^2/x^2/(b*x+a),x)","\frac{2 c d \ln \left(x \right)}{a}-\frac{2 c d \ln \left(b x +a \right)}{a}-\frac{b \,c^{2} \ln \left(x \right)}{a^{2}}+\frac{b \,c^{2} \ln \left(b x +a \right)}{a^{2}}+\frac{d^{2} \ln \left(b x +a \right)}{b}-\frac{c^{2}}{a x}"," ",0,"-c^2/a/x+2*c/a*ln(x)*d-c^2/a^2*ln(x)*b+1/b*ln(b*x+a)*d^2-2/a*ln(b*x+a)*c*d+1/a^2*b*ln(b*x+a)*c^2","A"
219,1,110,65,0.008000," ","int((d*x+c)^2/x^3/(b*x+a),x)","\frac{d^{2} \ln \left(x \right)}{a}-\frac{d^{2} \ln \left(b x +a \right)}{a}-\frac{2 b c d \ln \left(x \right)}{a^{2}}+\frac{2 b c d \ln \left(b x +a \right)}{a^{2}}+\frac{b^{2} c^{2} \ln \left(x \right)}{a^{3}}-\frac{b^{2} c^{2} \ln \left(b x +a \right)}{a^{3}}-\frac{2 c d}{a x}+\frac{b \,c^{2}}{a^{2} x}-\frac{c^{2}}{2 a \,x^{2}}"," ",0,"-1/2*c^2/a/x^2+1/a*ln(x)*d^2-2/a^2*ln(x)*b*c*d+1/a^3*ln(x)*b^2*c^2-2*c/a/x*d+c^2/a^2/x*b-1/a*ln(b*x+a)*d^2+2/a^2*ln(b*x+a)*b*c*d-1/a^3*ln(b*x+a)*b^2*c^2","A"
220,1,153,86,0.010000," ","int((d*x+c)^2/x^4/(b*x+a),x)","-\frac{b \,d^{2} \ln \left(x \right)}{a^{2}}+\frac{b \,d^{2} \ln \left(b x +a \right)}{a^{2}}+\frac{2 b^{2} c d \ln \left(x \right)}{a^{3}}-\frac{2 b^{2} c d \ln \left(b x +a \right)}{a^{3}}-\frac{b^{3} c^{2} \ln \left(x \right)}{a^{4}}+\frac{b^{3} c^{2} \ln \left(b x +a \right)}{a^{4}}-\frac{d^{2}}{a x}+\frac{2 b c d}{a^{2} x}-\frac{b^{2} c^{2}}{a^{3} x}-\frac{c d}{a \,x^{2}}+\frac{b \,c^{2}}{2 a^{2} x^{2}}-\frac{c^{2}}{3 a \,x^{3}}"," ",0,"-1/3*c^2/a/x^3-1/a/x*d^2+2/a^2/x*b*c*d-1/a^3/x*b^2*c^2-c/a/x^2*d+1/2*c^2/a^2/x^2*b-1/a^2*b*ln(x)*d^2+2/a^3*b^2*ln(x)*c*d-1/a^4*b^3*ln(x)*c^2+1/a^2*b*ln(b*x+a)*d^2-2/a^3*b^2*ln(b*x+a)*c*d+1/a^4*b^3*ln(b*x+a)*c^2","A"
221,1,193,108,0.010000," ","int((d*x+c)^2/x^5/(b*x+a),x)","\frac{b^{2} d^{2} \ln \left(x \right)}{a^{3}}-\frac{b^{2} d^{2} \ln \left(b x +a \right)}{a^{3}}-\frac{2 b^{3} c d \ln \left(x \right)}{a^{4}}+\frac{2 b^{3} c d \ln \left(b x +a \right)}{a^{4}}+\frac{b^{4} c^{2} \ln \left(x \right)}{a^{5}}-\frac{b^{4} c^{2} \ln \left(b x +a \right)}{a^{5}}+\frac{b \,d^{2}}{a^{2} x}-\frac{2 b^{2} c d}{a^{3} x}+\frac{b^{3} c^{2}}{a^{4} x}-\frac{d^{2}}{2 a \,x^{2}}+\frac{b c d}{a^{2} x^{2}}-\frac{b^{2} c^{2}}{2 a^{3} x^{2}}-\frac{2 c d}{3 a \,x^{3}}+\frac{b \,c^{2}}{3 a^{2} x^{3}}-\frac{c^{2}}{4 a \,x^{4}}"," ",0,"-1/4*c^2/a/x^4-1/2/a/x^2*d^2+1/a^2/x^2*b*c*d-1/2/a^3/x^2*b^2*c^2-2/3*c/a/x^3*d+1/3*c^2/a^2/x^3*b+1/a^3*b^2*ln(x)*d^2-2/a^4*b^3*ln(x)*c*d+1/a^5*b^4*ln(x)*c^2+1/a^2*b/x*d^2-2/a^3*b^2/x*c*d+1/a^4*b^3/x*c^2-1/a^3*b^2*ln(b*x+a)*d^2+2/a^4*b^3*ln(b*x+a)*c*d-1/a^5*b^4*ln(b*x+a)*c^2","A"
222,1,302,142,0.005000," ","int(x^3*(d*x+c)^3/(b*x+a),x)","\frac{d^{3} x^{6}}{6 b}-\frac{a \,d^{3} x^{5}}{5 b^{2}}+\frac{3 c \,d^{2} x^{5}}{5 b}+\frac{a^{2} d^{3} x^{4}}{4 b^{3}}-\frac{3 a c \,d^{2} x^{4}}{4 b^{2}}+\frac{3 c^{2} d \,x^{4}}{4 b}-\frac{a^{3} d^{3} x^{3}}{3 b^{4}}+\frac{a^{2} c \,d^{2} x^{3}}{b^{3}}-\frac{a \,c^{2} d \,x^{3}}{b^{2}}+\frac{c^{3} x^{3}}{3 b}+\frac{a^{4} d^{3} x^{2}}{2 b^{5}}-\frac{3 a^{3} c \,d^{2} x^{2}}{2 b^{4}}+\frac{3 a^{2} c^{2} d \,x^{2}}{2 b^{3}}-\frac{a \,c^{3} x^{2}}{2 b^{2}}+\frac{a^{6} d^{3} \ln \left(b x +a \right)}{b^{7}}-\frac{3 a^{5} c \,d^{2} \ln \left(b x +a \right)}{b^{6}}-\frac{a^{5} d^{3} x}{b^{6}}+\frac{3 a^{4} c^{2} d \ln \left(b x +a \right)}{b^{5}}+\frac{3 a^{4} c \,d^{2} x}{b^{5}}-\frac{a^{3} c^{3} \ln \left(b x +a \right)}{b^{4}}-\frac{3 a^{3} c^{2} d x}{b^{4}}+\frac{a^{2} c^{3} x}{b^{3}}"," ",0,"1/6*d^3*x^6/b-1/5/b^2*x^5*a*d^3+3/5/b*x^5*c*d^2+1/4/b^3*x^4*a^2*d^3-3/4/b^2*x^4*a*c*d^2+3/4/b*x^4*c^2*d-1/3/b^4*x^3*a^3*d^3+1/b^3*x^3*a^2*c*d^2-1/b^2*x^3*a*c^2*d+1/3/b*x^3*c^3+1/2/b^5*x^2*a^4*d^3-3/2/b^4*x^2*a^3*c*d^2+3/2/b^3*x^2*a^2*c^2*d-1/2/b^2*x^2*a*c^3-1/b^6*x*a^5*d^3+3/b^5*x*a^4*c*d^2-3/b^4*x*a^3*c^2*d+1/b^3*x*a^2*c^3+a^6/b^7*ln(b*x+a)*d^3-3*a^5/b^6*ln(b*x+a)*c*d^2+3*a^4/b^5*ln(b*x+a)*c^2*d-a^3/b^4*ln(b*x+a)*c^3","B"
223,1,244,121,0.005000," ","int(x^2*(d*x+c)^3/(b*x+a),x)","\frac{d^{3} x^{5}}{5 b}-\frac{a \,d^{3} x^{4}}{4 b^{2}}+\frac{3 c \,d^{2} x^{4}}{4 b}+\frac{a^{2} d^{3} x^{3}}{3 b^{3}}-\frac{a c \,d^{2} x^{3}}{b^{2}}+\frac{c^{2} d \,x^{3}}{b}-\frac{a^{3} d^{3} x^{2}}{2 b^{4}}+\frac{3 a^{2} c \,d^{2} x^{2}}{2 b^{3}}-\frac{3 a \,c^{2} d \,x^{2}}{2 b^{2}}+\frac{c^{3} x^{2}}{2 b}-\frac{a^{5} d^{3} \ln \left(b x +a \right)}{b^{6}}+\frac{3 a^{4} c \,d^{2} \ln \left(b x +a \right)}{b^{5}}+\frac{a^{4} d^{3} x}{b^{5}}-\frac{3 a^{3} c^{2} d \ln \left(b x +a \right)}{b^{4}}-\frac{3 a^{3} c \,d^{2} x}{b^{4}}+\frac{a^{2} c^{3} \ln \left(b x +a \right)}{b^{3}}+\frac{3 a^{2} c^{2} d x}{b^{3}}-\frac{a \,c^{3} x}{b^{2}}"," ",0,"1/5*d^3*x^5/b-1/4/b^2*x^4*a*d^3+3/4/b*x^4*c*d^2+1/3/b^3*x^3*a^2*d^3-1/b^2*x^3*a*c*d^2+1/b*x^3*c^2*d-1/2/b^4*x^2*a^3*d^3+3/2/b^3*x^2*a^2*c*d^2-3/2/b^2*x^2*a*c^2*d+1/2/b*c^3*x^2+1/b^5*x*a^4*d^3-3/b^4*x*a^3*c*d^2+3/b^3*x*a^2*c^2*d-1/b^2*x*a*c^3-a^5/b^6*ln(b*x+a)*d^3+3*a^4/b^5*ln(b*x+a)*c*d^2-3*a^3/b^4*ln(b*x+a)*c^2*d+a^2/b^3*ln(b*x+a)*c^3","B"
224,1,186,100,0.004000," ","int(x*(d*x+c)^3/(b*x+a),x)","\frac{d^{3} x^{4}}{4 b}-\frac{a \,d^{3} x^{3}}{3 b^{2}}+\frac{c \,d^{2} x^{3}}{b}+\frac{a^{2} d^{3} x^{2}}{2 b^{3}}-\frac{3 a c \,d^{2} x^{2}}{2 b^{2}}+\frac{3 c^{2} d \,x^{2}}{2 b}+\frac{a^{4} d^{3} \ln \left(b x +a \right)}{b^{5}}-\frac{3 a^{3} c \,d^{2} \ln \left(b x +a \right)}{b^{4}}-\frac{a^{3} d^{3} x}{b^{4}}+\frac{3 a^{2} c^{2} d \ln \left(b x +a \right)}{b^{3}}+\frac{3 a^{2} c \,d^{2} x}{b^{3}}-\frac{a \,c^{3} \ln \left(b x +a \right)}{b^{2}}-\frac{3 a \,c^{2} d x}{b^{2}}+\frac{c^{3} x}{b}"," ",0,"1/4*d^3*x^4/b-1/3/b^2*x^3*a*d^3+1/b*x^3*c*d^2+1/2/b^3*x^2*a^2*d^3-3/2/b^2*x^2*a*c*d^2+3/2/b*x^2*c^2*d-1/b^4*x*a^3*d^3+3/b^3*x*a^2*c*d^2-3/b^2*x*a*c^2*d+1/b*x*c^3+a^4/b^5*ln(b*x+a)*d^3-3*a^3/b^4*ln(b*x+a)*c*d^2+3*a^2/b^3*ln(b*x+a)*c^2*d-a/b^2*ln(b*x+a)*c^3","A"
225,1,133,69,0.004000," ","int((d*x+c)^3/(b*x+a),x)","\frac{d^{3} x^{3}}{3 b}-\frac{a \,d^{3} x^{2}}{2 b^{2}}+\frac{3 c \,d^{2} x^{2}}{2 b}-\frac{a^{3} d^{3} \ln \left(b x +a \right)}{b^{4}}+\frac{3 a^{2} c \,d^{2} \ln \left(b x +a \right)}{b^{3}}+\frac{a^{2} d^{3} x}{b^{3}}-\frac{3 a \,c^{2} d \ln \left(b x +a \right)}{b^{2}}-\frac{3 a c \,d^{2} x}{b^{2}}+\frac{c^{3} \ln \left(b x +a \right)}{b}+\frac{3 c^{2} d x}{b}"," ",0,"1/3*d^3/b*x^3-1/2*d^3/b^2*x^2*a+3/2*d^2/b*x^2*c+d^3/b^3*x*a^2-3*d^2/b^2*x*a*c+3*d/b*x*c^2-1/b^4*ln(b*x+a)*a^3*d^3+3/b^3*ln(b*x+a)*a^2*c*d^2-3/b^2*ln(b*x+a)*a*c^2*d+1/b*ln(b*x+a)*c^3","A"
226,1,103,62,0.009000," ","int((d*x+c)^3/x/(b*x+a),x)","\frac{d^{3} x^{2}}{2 b}+\frac{a^{2} d^{3} \ln \left(b x +a \right)}{b^{3}}-\frac{3 a c \,d^{2} \ln \left(b x +a \right)}{b^{2}}-\frac{a \,d^{3} x}{b^{2}}+\frac{c^{3} \ln \left(x \right)}{a}-\frac{c^{3} \ln \left(b x +a \right)}{a}+\frac{3 c^{2} d \ln \left(b x +a \right)}{b}+\frac{3 c \,d^{2} x}{b}"," ",0,"1/2*d^3*x^2/b-d^3/b^2*x*a+3*d^2/b*x*c+c^3*ln(x)/a+1/b^3*a^2*ln(b*x+a)*d^3-3/b^2*a*ln(b*x+a)*c*d^2+3/b*ln(b*x+a)*c^2*d-1/a*ln(b*x+a)*c^3","A"
227,1,102,61,0.009000," ","int((d*x+c)^3/x^2/(b*x+a),x)","-\frac{a \,d^{3} \ln \left(b x +a \right)}{b^{2}}+\frac{3 c^{2} d \ln \left(x \right)}{a}-\frac{3 c^{2} d \ln \left(b x +a \right)}{a}-\frac{b \,c^{3} \ln \left(x \right)}{a^{2}}+\frac{b \,c^{3} \ln \left(b x +a \right)}{a^{2}}+\frac{3 c \,d^{2} \ln \left(b x +a \right)}{b}+\frac{d^{3} x}{b}-\frac{c^{3}}{a x}"," ",0,"d^3*x/b-c^3/a/x+3*c^2/a*ln(x)*d-c^3/a^2*ln(x)*b-1/b^2*a*ln(b*x+a)*d^3+3/b*ln(b*x+a)*c*d^2-3/a*ln(b*x+a)*c^2*d+b/a^2*ln(b*x+a)*c^3","A"
228,1,132,83,0.008000," ","int((d*x+c)^3/x^3/(b*x+a),x)","\frac{3 c \,d^{2} \ln \left(x \right)}{a}-\frac{3 c \,d^{2} \ln \left(b x +a \right)}{a}-\frac{3 b \,c^{2} d \ln \left(x \right)}{a^{2}}+\frac{3 b \,c^{2} d \ln \left(b x +a \right)}{a^{2}}+\frac{b^{2} c^{3} \ln \left(x \right)}{a^{3}}-\frac{b^{2} c^{3} \ln \left(b x +a \right)}{a^{3}}+\frac{d^{3} \ln \left(b x +a \right)}{b}-\frac{3 c^{2} d}{a x}+\frac{b \,c^{3}}{a^{2} x}-\frac{c^{3}}{2 a \,x^{2}}"," ",0,"-1/2*c^3/a/x^2+3*c/a*ln(x)*d^2-3*c^2/a^2*ln(x)*b*d+c^3/a^3*ln(x)*b^2-3*c^2/a/x*d+c^3/a^2/x*b+1/b*ln(b*x+a)*d^3-3/a*ln(b*x+a)*c*d^2+3/a^2*b*ln(b*x+a)*c^2*d-1/a^3*b^2*ln(b*x+a)*c^3","A"
229,1,188,99,0.010000," ","int((d*x+c)^3/x^4/(b*x+a),x)","\frac{d^{3} \ln \left(x \right)}{a}-\frac{d^{3} \ln \left(b x +a \right)}{a}-\frac{3 b c \,d^{2} \ln \left(x \right)}{a^{2}}+\frac{3 b c \,d^{2} \ln \left(b x +a \right)}{a^{2}}+\frac{3 b^{2} c^{2} d \ln \left(x \right)}{a^{3}}-\frac{3 b^{2} c^{2} d \ln \left(b x +a \right)}{a^{3}}-\frac{b^{3} c^{3} \ln \left(x \right)}{a^{4}}+\frac{b^{3} c^{3} \ln \left(b x +a \right)}{a^{4}}-\frac{3 c \,d^{2}}{a x}+\frac{3 b \,c^{2} d}{a^{2} x}-\frac{b^{2} c^{3}}{a^{3} x}-\frac{3 c^{2} d}{2 a \,x^{2}}+\frac{b \,c^{3}}{2 a^{2} x^{2}}-\frac{c^{3}}{3 a \,x^{3}}"," ",0,"-1/3*c^3/a/x^3+1/a*ln(x)*d^3-3/a^2*ln(x)*b*c*d^2+3/a^3*ln(x)*b^2*c^2*d-1/a^4*ln(x)*b^3*c^3-3*c/a/x*d^2+3*c^2/a^2/x*b*d-c^3/a^3/x*b^2-3/2*c^2/a/x^2*d+1/2*c^3/a^2/x^2*b-1/a*ln(b*x+a)*d^3+3/a^2*ln(b*x+a)*b*c*d^2-3/a^3*ln(b*x+a)*b^2*c^2*d+1/a^4*ln(b*x+a)*b^3*c^3","A"
230,1,246,118,0.012000," ","int((d*x+c)^3/x^5/(b*x+a),x)","-\frac{b \,d^{3} \ln \left(x \right)}{a^{2}}+\frac{b \,d^{3} \ln \left(b x +a \right)}{a^{2}}+\frac{3 b^{2} c \,d^{2} \ln \left(x \right)}{a^{3}}-\frac{3 b^{2} c \,d^{2} \ln \left(b x +a \right)}{a^{3}}-\frac{3 b^{3} c^{2} d \ln \left(x \right)}{a^{4}}+\frac{3 b^{3} c^{2} d \ln \left(b x +a \right)}{a^{4}}+\frac{b^{4} c^{3} \ln \left(x \right)}{a^{5}}-\frac{b^{4} c^{3} \ln \left(b x +a \right)}{a^{5}}-\frac{d^{3}}{a x}+\frac{3 b c \,d^{2}}{a^{2} x}-\frac{3 b^{2} c^{2} d}{a^{3} x}+\frac{b^{3} c^{3}}{a^{4} x}-\frac{3 c \,d^{2}}{2 a \,x^{2}}+\frac{3 b \,c^{2} d}{2 a^{2} x^{2}}-\frac{b^{2} c^{3}}{2 a^{3} x^{2}}-\frac{c^{2} d}{a \,x^{3}}+\frac{b \,c^{3}}{3 a^{2} x^{3}}-\frac{c^{3}}{4 a \,x^{4}}"," ",0,"-1/4*c^3/a/x^4-1/a/x*d^3+3/a^2/x*b*c*d^2-3/a^3/x*b^2*c^2*d+1/a^4/x*b^3*c^3-3/2*c/a/x^2*d^2+3/2*c^2/a^2/x^2*b*d-1/2*c^3/a^3/x^2*b^2-c^2/a/x^3*d+1/3*c^3/a^2/x^3*b-1/a^2*b*ln(x)*d^3+3/a^3*b^2*ln(x)*c*d^2-3/a^4*b^3*ln(x)*c^2*d+1/a^5*b^4*ln(x)*c^3+1/a^2*b*ln(b*x+a)*d^3-3/a^3*b^2*ln(b*x+a)*c*d^2+3/a^4*b^3*ln(b*x+a)*c^2*d-1/a^5*b^4*ln(b*x+a)*c^3","B"
231,1,305,142,0.012000," ","int((d*x+c)^3/x^6/(b*x+a),x)","\frac{b^{2} d^{3} \ln \left(x \right)}{a^{3}}-\frac{b^{2} d^{3} \ln \left(b x +a \right)}{a^{3}}-\frac{3 b^{3} c \,d^{2} \ln \left(x \right)}{a^{4}}+\frac{3 b^{3} c \,d^{2} \ln \left(b x +a \right)}{a^{4}}+\frac{3 b^{4} c^{2} d \ln \left(x \right)}{a^{5}}-\frac{3 b^{4} c^{2} d \ln \left(b x +a \right)}{a^{5}}-\frac{b^{5} c^{3} \ln \left(x \right)}{a^{6}}+\frac{b^{5} c^{3} \ln \left(b x +a \right)}{a^{6}}+\frac{b \,d^{3}}{a^{2} x}-\frac{3 b^{2} c \,d^{2}}{a^{3} x}+\frac{3 b^{3} c^{2} d}{a^{4} x}-\frac{b^{4} c^{3}}{a^{5} x}-\frac{d^{3}}{2 a \,x^{2}}+\frac{3 b c \,d^{2}}{2 a^{2} x^{2}}-\frac{3 b^{2} c^{2} d}{2 a^{3} x^{2}}+\frac{b^{3} c^{3}}{2 a^{4} x^{2}}-\frac{c \,d^{2}}{a \,x^{3}}+\frac{b \,c^{2} d}{a^{2} x^{3}}-\frac{b^{2} c^{3}}{3 a^{3} x^{3}}-\frac{3 c^{2} d}{4 a \,x^{4}}+\frac{b \,c^{3}}{4 a^{2} x^{4}}-\frac{c^{3}}{5 a \,x^{5}}"," ",0,"-1/5*c^3/a/x^5-1/2/a/x^2*d^3+3/2/a^2/x^2*b*c*d^2-3/2/a^3/x^2*b^2*c^2*d+1/2/a^4/x^2*b^3*c^3-c/a/x^3*d^2+c^2/a^2/x^3*b*d-1/3*c^3/a^3/x^3*b^2-3/4*c^2/a/x^4*d+1/4*c^3/a^2/x^4*b+1/a^3*b^2*ln(x)*d^3-3/a^4*b^3*ln(x)*c*d^2+3/a^5*b^4*ln(x)*c^2*d-1/a^6*b^5*ln(x)*c^3+1/a^2*b/x*d^3-3/a^3*b^2/x*c*d^2+3/a^4*b^3/x*c^2*d-1/a^5*b^4/x*c^3-1/a^3*b^2*ln(b*x+a)*d^3+3/a^4*b^3*ln(b*x+a)*c*d^2-3/a^5*b^4*ln(b*x+a)*c^2*d+1/a^6*b^5*ln(b*x+a)*c^3","B"
232,1,175,139,0.010000," ","int(x^5/(b*x+a)/(d*x+c),x)","\frac{x^{4}}{4 b d}+\frac{a^{5} \ln \left(b x +a \right)}{\left(a d -b c \right) b^{5}}-\frac{a \,x^{3}}{3 b^{2} d}-\frac{c \,x^{3}}{3 b \,d^{2}}-\frac{c^{5} \ln \left(d x +c \right)}{\left(a d -b c \right) d^{5}}+\frac{a^{2} x^{2}}{2 b^{3} d}+\frac{a c \,x^{2}}{2 b^{2} d^{2}}+\frac{c^{2} x^{2}}{2 b \,d^{3}}-\frac{a^{3} x}{b^{4} d}-\frac{a^{2} c x}{b^{3} d^{2}}-\frac{a \,c^{2} x}{b^{2} d^{3}}-\frac{c^{3} x}{b \,d^{4}}"," ",0,"1/4*x^4/b/d-1/3/b^2/d*x^3*a-1/3/b/d^2*x^3*c+1/2/b^3/d*x^2*a^2+1/2/b^2/d^2*x^2*a*c+1/2/b/d^3*x^2*c^2-1/b^4/d*x*a^3-1/b^3/d^2*x*a^2*c-1/b^2/d^3*x*a*c^2-1/b/d^4*x*c^3-1/d^5*c^5/(a*d-b*c)*ln(d*x+c)+1/b^5*a^5/(a*d-b*c)*ln(b*x+a)","A"
233,1,116,105,0.007000," ","int(x^4/(b*x+a)/(d*x+c),x)","-\frac{a^{4} \ln \left(b x +a \right)}{\left(a d -b c \right) b^{4}}+\frac{x^{3}}{3 b d}+\frac{c^{4} \ln \left(d x +c \right)}{\left(a d -b c \right) d^{4}}-\frac{a \,x^{2}}{2 b^{2} d}-\frac{c \,x^{2}}{2 b \,d^{2}}+\frac{a^{2} x}{b^{3} d}+\frac{a c x}{b^{2} d^{2}}+\frac{c^{2} x}{b \,d^{3}}"," ",0,"1/3*x^3/b/d-1/2/b^2/d*x^2*a-1/2/b/d^2*x^2*c+1/b^3/d*x*a^2+1/b^2/d^2*x*a*c+1/b/d^3*x*c^2+1/d^4*c^4/(a*d-b*c)*ln(d*x+c)-1/b^4*a^4/(a*d-b*c)*ln(b*x+a)","A"
234,1,80,75,0.009000," ","int(x^3/(b*x+a)/(d*x+c),x)","\frac{a^{3} \ln \left(b x +a \right)}{\left(a d -b c \right) b^{3}}-\frac{c^{3} \ln \left(d x +c \right)}{\left(a d -b c \right) d^{3}}+\frac{x^{2}}{2 b d}-\frac{a x}{b^{2} d}-\frac{c x}{b \,d^{2}}"," ",0,"1/2*x^2/b/d-1/b^2/d*x*a-1/b/d^2*x*c-1/d^3*c^3/(a*d-b*c)*ln(d*x+c)+1/b^3*a^3/(a*d-b*c)*ln(b*x+a)","A"
235,1,57,56,0.005000," ","int(x^2/(b*x+a)/(d*x+c),x)","-\frac{a^{2} \ln \left(b x +a \right)}{\left(a d -b c \right) b^{2}}+\frac{c^{2} \ln \left(d x +c \right)}{\left(a d -b c \right) d^{2}}+\frac{x}{b d}"," ",0,"x/b/d+1/d^2*c^2/(a*d-b*c)*ln(d*x+c)-1/b^2*a^2/(a*d-b*c)*ln(b*x+a)","A"
236,1,45,44,0.007000," ","int(x/(b*x+a)/(d*x+c),x)","\frac{a \ln \left(b x +a \right)}{\left(a d -b c \right) b}-\frac{c \ln \left(d x +c \right)}{\left(a d -b c \right) d}"," ",0,"-c/(a*d-b*c)/d*ln(d*x+c)+a/(a*d-b*c)/b*ln(b*x+a)","A"
237,1,37,36,0.005000," ","int(1/(b*x+a)/(d*x+c),x)","-\frac{\ln \left(b x +a \right)}{a d -b c}+\frac{\ln \left(d x +c \right)}{a d -b c}"," ",0,"1/(a*d-b*c)*ln(d*x+c)-1/(a*d-b*c)*ln(b*x+a)","A"
238,1,54,53,0.007000," ","int(1/x/(b*x+a)/(d*x+c),x)","\frac{b \ln \left(b x +a \right)}{\left(a d -b c \right) a}-\frac{d \ln \left(d x +c \right)}{\left(a d -b c \right) c}+\frac{\ln \left(x \right)}{a c}"," ",0,"ln(x)/a/c-d/(a*d-b*c)/c*ln(d*x+c)+b/a/(a*d-b*c)*ln(b*x+a)","A"
239,1,82,76,0.010000," ","int(1/x^2/(b*x+a)/(d*x+c),x)","-\frac{b^{2} \ln \left(b x +a \right)}{\left(a d -b c \right) a^{2}}+\frac{d^{2} \ln \left(d x +c \right)}{\left(a d -b c \right) c^{2}}-\frac{d \ln \left(x \right)}{a \,c^{2}}-\frac{b \ln \left(x \right)}{a^{2} c}-\frac{1}{a c x}"," ",0,"-1/a/c/x-1/a/c^2*ln(x)*d-1/a^2/c*ln(x)*b+d^2/c^2/(a*d-b*c)*ln(d*x+c)-b^2/a^2/(a*d-b*c)*ln(b*x+a)","A"
240,1,117,105,0.011000," ","int(1/x^3/(b*x+a)/(d*x+c),x)","\frac{b^{3} \ln \left(b x +a \right)}{\left(a d -b c \right) a^{3}}-\frac{d^{3} \ln \left(d x +c \right)}{\left(a d -b c \right) c^{3}}+\frac{d^{2} \ln \left(x \right)}{a \,c^{3}}+\frac{b d \ln \left(x \right)}{a^{2} c^{2}}+\frac{b^{2} \ln \left(x \right)}{a^{3} c}+\frac{d}{a \,c^{2} x}+\frac{b}{a^{2} c x}-\frac{1}{2 a c \,x^{2}}"," ",0,"-1/2/a/c/x^2+1/a/c^2/x*d+1/a^2/c/x*b+1/a/c^3*ln(x)*d^2+1/a^2/c^2*ln(x)*b*d+1/a^3/c*ln(x)*b^2-d^3/c^3/(a*d-b*c)*ln(d*x+c)+b^3/a^3/(a*d-b*c)*ln(b*x+a)","A"
241,1,179,142,0.011000," ","int(1/x^4/(b*x+a)/(d*x+c),x)","-\frac{b^{4} \ln \left(b x +a \right)}{\left(a d -b c \right) a^{4}}+\frac{d^{4} \ln \left(d x +c \right)}{\left(a d -b c \right) c^{4}}-\frac{d^{3} \ln \left(x \right)}{a \,c^{4}}-\frac{b \,d^{2} \ln \left(x \right)}{a^{2} c^{3}}-\frac{b^{2} d \ln \left(x \right)}{a^{3} c^{2}}-\frac{b^{3} \ln \left(x \right)}{a^{4} c}-\frac{d^{2}}{a \,c^{3} x}-\frac{b d}{a^{2} c^{2} x}-\frac{b^{2}}{a^{3} c x}+\frac{d}{2 a \,c^{2} x^{2}}+\frac{b}{2 a^{2} c \,x^{2}}-\frac{1}{3 a c \,x^{3}}"," ",0,"-1/3/a/c/x^3+1/2/a/c^2/x^2*d+1/2/a^2/c/x^2*b-1/a/c^3/x*d^2-1/a^2/c^2/x*b*d-1/a^3/c/x*b^2-1/a/c^4*ln(x)*d^3-1/a^2/c^3*ln(x)*b*d^2-1/a^3/c^2*ln(x)*b^2*d-1/a^4/c*ln(x)*b^3+d^4/c^4/(a*d-b*c)*ln(d*x+c)-b^4/a^4/(a*d-b*c)*ln(b*x+a)","A"
242,1,169,143,0.013000," ","int(x^5/(b*x+a)/(d*x+c)^2,x)","-\frac{a^{5} \ln \left(b x +a \right)}{\left(a d -b c \right)^{2} b^{4}}+\frac{5 a \,c^{4} \ln \left(d x +c \right)}{\left(a d -b c \right)^{2} d^{4}}-\frac{4 b \,c^{5} \ln \left(d x +c \right)}{\left(a d -b c \right)^{2} d^{5}}+\frac{x^{3}}{3 b \,d^{2}}+\frac{c^{5}}{\left(a d -b c \right) \left(d x +c \right) d^{5}}-\frac{a \,x^{2}}{2 b^{2} d^{2}}-\frac{c \,x^{2}}{b \,d^{3}}+\frac{a^{2} x}{b^{3} d^{2}}+\frac{2 a c x}{b^{2} d^{3}}+\frac{3 c^{2} x}{b \,d^{4}}"," ",0,"1/3*x^3/b/d^2-1/2/b^2/d^2*x^2*a-1/b/d^3*x^2*c+1/b^3/d^2*x*a^2+2/b^2/d^3*x*a*c+3/b/d^4*x*c^2+5/d^4*c^4/(a*d-b*c)^2*ln(d*x+c)*a-4/d^5*c^5/(a*d-b*c)^2*ln(d*x+c)*b+1/d^5*c^5/(a*d-b*c)/(d*x+c)-1/b^4*a^5/(a*d-b*c)^2*ln(b*x+a)","A"
243,1,131,108,0.012000," ","int(x^4/(b*x+a)/(d*x+c)^2,x)","\frac{a^{4} \ln \left(b x +a \right)}{\left(a d -b c \right)^{2} b^{3}}-\frac{4 a \,c^{3} \ln \left(d x +c \right)}{\left(a d -b c \right)^{2} d^{3}}+\frac{3 b \,c^{4} \ln \left(d x +c \right)}{\left(a d -b c \right)^{2} d^{4}}-\frac{c^{4}}{\left(a d -b c \right) \left(d x +c \right) d^{4}}+\frac{x^{2}}{2 b \,d^{2}}-\frac{a x}{b^{2} d^{2}}-\frac{2 c x}{b \,d^{3}}"," ",0,"1/2*x^2/b/d^2-1/b^2/d^2*x*a-2/b/d^3*x*c-1/d^4*c^4/(a*d-b*c)/(d*x+c)-4/d^3*c^3/(a*d-b*c)^2*ln(d*x+c)*a+3/d^4*c^4/(a*d-b*c)^2*ln(d*x+c)*b+1/b^3*a^4/(a*d-b*c)^2*ln(b*x+a)","A"
244,1,108,91,0.010000," ","int(x^3/(b*x+a)/(d*x+c)^2,x)","-\frac{a^{3} \ln \left(b x +a \right)}{\left(a d -b c \right)^{2} b^{2}}+\frac{3 a \,c^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{2} d^{2}}-\frac{2 b \,c^{3} \ln \left(d x +c \right)}{\left(a d -b c \right)^{2} d^{3}}+\frac{c^{3}}{\left(a d -b c \right) \left(d x +c \right) d^{3}}+\frac{x}{b \,d^{2}}"," ",0,"x/b/d^2+3/d^2*c^2/(a*d-b*c)^2*ln(d*x+c)*a-2/d^3*c^3/(a*d-b*c)^2*ln(d*x+c)*b+1/d^3*c^3/(a*d-b*c)/(d*x+c)-1/b^2*a^3/(a*d-b*c)^2*ln(b*x+a)","A"
245,1,97,77,0.009000," ","int(x^2/(b*x+a)/(d*x+c)^2,x)","\frac{a^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{2} b}-\frac{2 a c \ln \left(d x +c \right)}{\left(a d -b c \right)^{2} d}+\frac{b \,c^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{2} d^{2}}-\frac{c^{2}}{\left(a d -b c \right) \left(d x +c \right) d^{2}}"," ",0,"-c^2/d^2/(a*d-b*c)/(d*x+c)-2*c/(a*d-b*c)^2/d*ln(d*x+c)*a+c^2/(a*d-b*c)^2/d^2*ln(d*x+c)*b+a^2/(a*d-b*c)^2/b*ln(b*x+a)","A"
246,1,61,61,0.007000," ","int(x/(b*x+a)/(d*x+c)^2,x)","-\frac{a \ln \left(b x +a \right)}{\left(a d -b c \right)^{2}}+\frac{a \ln \left(d x +c \right)}{\left(a d -b c \right)^{2}}+\frac{c}{\left(a d -b c \right) \left(d x +c \right) d}"," ",0,"a/(a*d-b*c)^2*ln(d*x+c)+c/(a*d-b*c)/d/(d*x+c)-a/(a*d-b*c)^2*ln(b*x+a)","A"
247,1,58,56,0.009000," ","int(1/(b*x+a)/(d*x+c)^2,x)","\frac{b \ln \left(b x +a \right)}{\left(a d -b c \right)^{2}}-\frac{b \ln \left(d x +c \right)}{\left(a d -b c \right)^{2}}-\frac{1}{\left(a d -b c \right) \left(d x +c \right)}"," ",0,"-1/(a*d-b*c)/(d*x+c)-b/(a*d-b*c)^2*ln(d*x+c)+b/(a*d-b*c)^2*ln(b*x+a)","A"
248,1,105,87,0.011000," ","int(1/x/(b*x+a)/(d*x+c)^2,x)","-\frac{a \,d^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{2} c^{2}}-\frac{b^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{2} a}+\frac{2 b d \ln \left(d x +c \right)}{\left(a d -b c \right)^{2} c}+\frac{d}{\left(a d -b c \right) \left(d x +c \right) c}+\frac{\ln \left(x \right)}{a \,c^{2}}"," ",0,"ln(x)/a/c^2+d/c/(a*d-b*c)/(d*x+c)-d^2/c^2/(a*d-b*c)^2*ln(d*x+c)*a+2*d/c/(a*d-b*c)^2*ln(d*x+c)*b-1/a*b^2/(a*d-b*c)^2*ln(b*x+a)","A"
249,1,133,110,0.014000," ","int(1/x^2/(b*x+a)/(d*x+c)^2,x)","\frac{2 a \,d^{3} \ln \left(d x +c \right)}{\left(a d -b c \right)^{2} c^{3}}+\frac{b^{3} \ln \left(b x +a \right)}{\left(a d -b c \right)^{2} a^{2}}-\frac{3 b \,d^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{2} c^{2}}-\frac{d^{2}}{\left(a d -b c \right) \left(d x +c \right) c^{2}}-\frac{2 d \ln \left(x \right)}{a \,c^{3}}-\frac{b \ln \left(x \right)}{a^{2} c^{2}}-\frac{1}{a \,c^{2} x}"," ",0,"-1/a/c^2/x-2/a/c^3*ln(x)*d-1/a^2/c^2*ln(x)*b-d^2/c^2/(a*d-b*c)/(d*x+c)+2*d^3/c^3/(a*d-b*c)^2*ln(d*x+c)*a-3*d^2/c^2/(a*d-b*c)^2*ln(d*x+c)*b+b^3/a^2/(a*d-b*c)^2*ln(b*x+a)","A"
250,1,171,142,0.016000," ","int(1/x^3/(b*x+a)/(d*x+c)^2,x)","-\frac{3 a \,d^{4} \ln \left(d x +c \right)}{\left(a d -b c \right)^{2} c^{4}}-\frac{b^{4} \ln \left(b x +a \right)}{\left(a d -b c \right)^{2} a^{3}}+\frac{4 b \,d^{3} \ln \left(d x +c \right)}{\left(a d -b c \right)^{2} c^{3}}+\frac{d^{3}}{\left(a d -b c \right) \left(d x +c \right) c^{3}}+\frac{3 d^{2} \ln \left(x \right)}{a \,c^{4}}+\frac{2 b d \ln \left(x \right)}{a^{2} c^{3}}+\frac{b^{2} \ln \left(x \right)}{a^{3} c^{2}}+\frac{2 d}{a \,c^{3} x}+\frac{b}{a^{2} c^{2} x}-\frac{1}{2 a \,c^{2} x^{2}}"," ",0,"-1/2/a/c^2/x^2+2/a/c^3/x*d+1/a^2/c^2/x*b+3/a/c^4*ln(x)*d^2+2/a^2/c^3*ln(x)*b*d+1/a^3/c^2*ln(x)*b^2+d^3/c^3/(a*d-b*c)/(d*x+c)-3*d^4/c^4/(a*d-b*c)^2*ln(d*x+c)*a+4*d^3/c^3/(a*d-b*c)^2*ln(d*x+c)*b-1/a^3*b^4/(a*d-b*c)^2*ln(b*x+a)","A"
251,1,213,157,0.013000," ","int(x^5/(b*x+a)/(d*x+c)^3,x)","\frac{a^{5} \ln \left(b x +a \right)}{\left(a d -b c \right)^{3} b^{3}}-\frac{10 a^{2} c^{3} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} d^{3}}+\frac{15 a b \,c^{4} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} d^{4}}-\frac{6 b^{2} c^{5} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} d^{5}}-\frac{5 a \,c^{4}}{\left(a d -b c \right)^{2} \left(d x +c \right) d^{4}}+\frac{4 b \,c^{5}}{\left(a d -b c \right)^{2} \left(d x +c \right) d^{5}}+\frac{c^{5}}{2 \left(a d -b c \right) \left(d x +c \right)^{2} d^{5}}+\frac{x^{2}}{2 b \,d^{3}}-\frac{a x}{b^{2} d^{3}}-\frac{3 c x}{b \,d^{4}}"," ",0,"1/2*x^2/b/d^3-1/b^2/d^3*x*a-3/b/d^4*x*c-5/d^4*c^4/(a*d-b*c)^2/(d*x+c)*a+4/d^5*c^5/(a*d-b*c)^2/(d*x+c)*b+1/2/d^5*c^5/(a*d-b*c)/(d*x+c)^2-10/d^3*c^3/(a*d-b*c)^3*ln(d*x+c)*a^2+15/d^4*c^4/(a*d-b*c)^3*ln(d*x+c)*a*b-6/d^5*c^5/(a*d-b*c)^3*ln(d*x+c)*b^2+1/b^3*a^5/(a*d-b*c)^3*ln(b*x+a)","A"
252,1,191,138,0.013000," ","int(x^4/(b*x+a)/(d*x+c)^3,x)","-\frac{a^{4} \ln \left(b x +a \right)}{\left(a d -b c \right)^{3} b^{2}}+\frac{6 a^{2} c^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} d^{2}}-\frac{8 a b \,c^{3} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} d^{3}}+\frac{3 b^{2} c^{4} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} d^{4}}+\frac{4 a \,c^{3}}{\left(a d -b c \right)^{2} \left(d x +c \right) d^{3}}-\frac{3 b \,c^{4}}{\left(a d -b c \right)^{2} \left(d x +c \right) d^{4}}-\frac{c^{4}}{2 \left(a d -b c \right) \left(d x +c \right)^{2} d^{4}}+\frac{x}{b \,d^{3}}"," ",0,"x/b/d^3-1/2/d^4*c^4/(a*d-b*c)/(d*x+c)^2+6/d^2*c^2/(a*d-b*c)^3*ln(d*x+c)*a^2-8/d^3*c^3/(a*d-b*c)^3*ln(d*x+c)*a*b+3/d^4*c^4/(a*d-b*c)^3*ln(d*x+c)*b^2+4/d^3*c^3/(a*d-b*c)^2/(d*x+c)*a-3/d^4*c^4/(a*d-b*c)^2/(d*x+c)*b-1/b^2*a^4/(a*d-b*c)^3*ln(b*x+a)","A"
253,1,180,126,0.011000," ","int(x^3/(b*x+a)/(d*x+c)^3,x)","\frac{a^{3} \ln \left(b x +a \right)}{\left(a d -b c \right)^{3} b}-\frac{3 a^{2} c \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} d}+\frac{3 a b \,c^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} d^{2}}-\frac{b^{2} c^{3} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} d^{3}}-\frac{3 a \,c^{2}}{\left(a d -b c \right)^{2} \left(d x +c \right) d^{2}}+\frac{2 b \,c^{3}}{\left(a d -b c \right)^{2} \left(d x +c \right) d^{3}}+\frac{c^{3}}{2 \left(a d -b c \right) \left(d x +c \right)^{2} d^{3}}"," ",0,"-3*c^2/d^2/(a*d-b*c)^2/(d*x+c)*a+2*c^3/d^3/(a*d-b*c)^2/(d*x+c)*b+1/2*c^3/d^3/(a*d-b*c)/(d*x+c)^2-3*c/(a*d-b*c)^3/d*ln(d*x+c)*a^2+3*c^2/(a*d-b*c)^3/d^2*ln(d*x+c)*a*b-c^3/(a*d-b*c)^3/d^3*ln(d*x+c)*b^2+a^3/(a*d-b*c)^3/b*ln(b*x+a)","A"
254,1,118,98,0.010000," ","int(x^2/(b*x+a)/(d*x+c)^3,x)","-\frac{a^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{3}}+\frac{a^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3}}+\frac{2 a c}{\left(a d -b c \right)^{2} \left(d x +c \right) d}-\frac{b \,c^{2}}{\left(a d -b c \right)^{2} \left(d x +c \right) d^{2}}-\frac{c^{2}}{2 \left(a d -b c \right) \left(d x +c \right)^{2} d^{2}}"," ",0,"a^2/(a*d-b*c)^3*ln(d*x+c)-1/2*c^2/d^2/(a*d-b*c)/(d*x+c)^2+2*c/(a*d-b*c)^2/d/(d*x+c)*a-c^2/(a*d-b*c)^2/d^2/(d*x+c)*b-a^2/(a*d-b*c)^3*ln(b*x+a)","A"
255,1,84,83,0.008000," ","int(x/(b*x+a)/(d*x+c)^3,x)","\frac{a b \ln \left(b x +a \right)}{\left(a d -b c \right)^{3}}-\frac{a b \ln \left(d x +c \right)}{\left(a d -b c \right)^{3}}-\frac{a}{\left(a d -b c \right)^{2} \left(d x +c \right)}+\frac{c}{2 \left(a d -b c \right) \left(d x +c \right)^{2} d}"," ",0,"-a/(a*d-b*c)^2/(d*x+c)+1/2*c/(a*d-b*c)/d/(d*x+c)^2-a*b/(a*d-b*c)^3*ln(d*x+c)+a*b/(a*d-b*c)^3*ln(b*x+a)","A"
256,1,81,80,0.010000," ","int(1/(b*x+a)/(d*x+c)^3,x)","-\frac{b^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{3}}+\frac{b^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3}}+\frac{b}{\left(a d -b c \right)^{2} \left(d x +c \right)}-\frac{1}{2 \left(a d -b c \right) \left(d x +c \right)^{2}}"," ",0,"-1/2/(a*d-b*c)/(d*x+c)^2+b^2/(a*d-b*c)^3*ln(d*x+c)+b/(a*d-b*c)^2/(d*x+c)-b^2/(a*d-b*c)^3*ln(b*x+a)","A"
257,1,184,132,0.013000," ","int(1/x/(b*x+a)/(d*x+c)^3,x)","-\frac{a^{2} d^{3} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} c^{3}}+\frac{3 a b \,d^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} c^{2}}+\frac{b^{3} \ln \left(b x +a \right)}{\left(a d -b c \right)^{3} a}-\frac{3 b^{2} d \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} c}+\frac{a \,d^{2}}{\left(a d -b c \right)^{2} \left(d x +c \right) c^{2}}-\frac{2 b d}{\left(a d -b c \right)^{2} \left(d x +c \right) c}+\frac{d}{2 \left(a d -b c \right) \left(d x +c \right)^{2} c}+\frac{\ln \left(x \right)}{a \,c^{3}}"," ",0,"ln(x)/a/c^3+1/2*d/c/(a*d-b*c)/(d*x+c)^2+d^2/c^2/(a*d-b*c)^2/(d*x+c)*a-2*d/c/(a*d-b*c)^2/(d*x+c)*b-d^3/c^3/(a*d-b*c)^3*ln(d*x+c)*a^2+3*d^2/c^2/(a*d-b*c)^3*ln(d*x+c)*a*b-3*d/c/(a*d-b*c)^3*ln(d*x+c)*b^2+1/a*b^3/(a*d-b*c)^3*ln(b*x+a)","A"
258,1,216,158,0.015000," ","int(1/x^2/(b*x+a)/(d*x+c)^3,x)","\frac{3 a^{2} d^{4} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} c^{4}}-\frac{8 a b \,d^{3} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} c^{3}}-\frac{b^{4} \ln \left(b x +a \right)}{\left(a d -b c \right)^{3} a^{2}}+\frac{6 b^{2} d^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} c^{2}}-\frac{2 a \,d^{3}}{\left(a d -b c \right)^{2} \left(d x +c \right) c^{3}}+\frac{3 b \,d^{2}}{\left(a d -b c \right)^{2} \left(d x +c \right) c^{2}}-\frac{d^{2}}{2 \left(a d -b c \right) \left(d x +c \right)^{2} c^{2}}-\frac{3 d \ln \left(x \right)}{a \,c^{4}}-\frac{b \ln \left(x \right)}{a^{2} c^{3}}-\frac{1}{a \,c^{3} x}"," ",0,"-1/a/c^3/x-3/a/c^4*ln(x)*d-1/a^2/c^3*ln(x)*b-1/2*d^2/c^2/(a*d-b*c)/(d*x+c)^2-2*d^3/c^3/(a*d-b*c)^2/(d*x+c)*a+3*d^2/c^2/(a*d-b*c)^2/(d*x+c)*b+3*d^4/c^4/(a*d-b*c)^3*ln(d*x+c)*a^2-8*d^3/c^3/(a*d-b*c)^3*ln(d*x+c)*a*b+6*d^2/c^2/(a*d-b*c)^3*ln(d*x+c)*b^2-b^4/a^2/(a*d-b*c)^3*ln(b*x+a)","A"
259,1,247,159,0.010000," ","int(x^4*(d*x+c)^2/(b*x+a)^2,x)","\frac{d^{2} x^{5}}{5 b^{2}}-\frac{a \,d^{2} x^{4}}{2 b^{3}}+\frac{c d \,x^{4}}{2 b^{2}}+\frac{a^{2} d^{2} x^{3}}{b^{4}}-\frac{4 a c d \,x^{3}}{3 b^{3}}+\frac{c^{2} x^{3}}{3 b^{2}}-\frac{2 a^{3} d^{2} x^{2}}{b^{5}}+\frac{3 a^{2} c d \,x^{2}}{b^{4}}-\frac{a \,c^{2} x^{2}}{b^{3}}-\frac{a^{6} d^{2}}{\left(b x +a \right) b^{7}}+\frac{2 a^{5} c d}{\left(b x +a \right) b^{6}}-\frac{6 a^{5} d^{2} \ln \left(b x +a \right)}{b^{7}}-\frac{a^{4} c^{2}}{\left(b x +a \right) b^{5}}+\frac{10 a^{4} c d \ln \left(b x +a \right)}{b^{6}}+\frac{5 a^{4} d^{2} x}{b^{6}}-\frac{4 a^{3} c^{2} \ln \left(b x +a \right)}{b^{5}}-\frac{8 a^{3} c d x}{b^{5}}+\frac{3 a^{2} c^{2} x}{b^{4}}"," ",0,"1/5*d^2*x^5/b^2-1/2/b^3*x^4*a*d^2+1/2/b^2*x^4*c*d+1/b^4*x^3*a^2*d^2-4/3/b^3*x^3*a*c*d+1/3/b^2*x^3*c^2-2/b^5*x^2*a^3*d^2+3/b^4*x^2*a^2*c*d-1/b^3*x^2*a*c^2+5/b^6*x*a^4*d^2-8/b^5*x*a^3*c*d+3/b^4*x*a^2*c^2-6*a^5/b^7*ln(b*x+a)*d^2+10*a^4/b^6*ln(b*x+a)*c*d-4*a^3/b^5*ln(b*x+a)*c^2-a^6/b^7/(b*x+a)*d^2+2*a^5/b^6/(b*x+a)*c*d-a^4/b^5/(b*x+a)*c^2","A"
260,1,205,130,0.010000," ","int(x^3*(d*x+c)^2/(b*x+a)^2,x)","\frac{d^{2} x^{4}}{4 b^{2}}-\frac{2 a \,d^{2} x^{3}}{3 b^{3}}+\frac{2 c d \,x^{3}}{3 b^{2}}+\frac{3 a^{2} d^{2} x^{2}}{2 b^{4}}-\frac{2 a c d \,x^{2}}{b^{3}}+\frac{c^{2} x^{2}}{2 b^{2}}+\frac{a^{5} d^{2}}{\left(b x +a \right) b^{6}}-\frac{2 a^{4} c d}{\left(b x +a \right) b^{5}}+\frac{5 a^{4} d^{2} \ln \left(b x +a \right)}{b^{6}}+\frac{a^{3} c^{2}}{\left(b x +a \right) b^{4}}-\frac{8 a^{3} c d \ln \left(b x +a \right)}{b^{5}}-\frac{4 a^{3} d^{2} x}{b^{5}}+\frac{3 a^{2} c^{2} \ln \left(b x +a \right)}{b^{4}}+\frac{6 a^{2} c d x}{b^{4}}-\frac{2 a \,c^{2} x}{b^{3}}"," ",0,"1/4*d^2*x^4/b^2-2/3/b^3*x^3*a*d^2+2/3/b^2*x^3*c*d+3/2/b^4*x^2*a^2*d^2-2/b^3*x^2*a*c*d+1/2/b^2*x^2*c^2-4/b^5*x*a^3*d^2+6/b^4*x*a^2*c*d-2/b^3*x*a*c^2+5*a^4/b^6*ln(b*x+a)*d^2-8*a^3/b^5*ln(b*x+a)*c*d+3*a^2/b^4*ln(b*x+a)*c^2+a^5/b^6/(b*x+a)*d^2-2*a^4/b^5/(b*x+a)*c*d+a^3/b^4/(b*x+a)*c^2","A"
261,1,164,102,0.010000," ","int(x^2*(d*x+c)^2/(b*x+a)^2,x)","\frac{d^{2} x^{3}}{3 b^{2}}-\frac{a \,d^{2} x^{2}}{b^{3}}+\frac{c d \,x^{2}}{b^{2}}-\frac{a^{4} d^{2}}{\left(b x +a \right) b^{5}}+\frac{2 a^{3} c d}{\left(b x +a \right) b^{4}}-\frac{4 a^{3} d^{2} \ln \left(b x +a \right)}{b^{5}}-\frac{a^{2} c^{2}}{\left(b x +a \right) b^{3}}+\frac{6 a^{2} c d \ln \left(b x +a \right)}{b^{4}}+\frac{3 a^{2} d^{2} x}{b^{4}}-\frac{2 a \,c^{2} \ln \left(b x +a \right)}{b^{3}}-\frac{4 a c d x}{b^{3}}+\frac{c^{2} x}{b^{2}}"," ",0,"1/3*d^2*x^3/b^2-1/b^3*x^2*a*d^2+1/b^2*x^2*c*d+3/b^4*x*a^2*d^2-4/b^3*x*a*c*d+1/b^2*x*c^2-4*a^3/b^5*ln(b*x+a)*d^2+6*a^2/b^4*ln(b*x+a)*c*d-2*a/b^3*ln(b*x+a)*c^2-a^4/b^5/(b*x+a)*d^2+2*a^3/b^4/(b*x+a)*c*d-a^2/b^3/(b*x+a)*c^2","A"
262,1,124,75,0.007000," ","int(x*(d*x+c)^2/(b*x+a)^2,x)","\frac{d^{2} x^{2}}{2 b^{2}}+\frac{a^{3} d^{2}}{\left(b x +a \right) b^{4}}-\frac{2 a^{2} c d}{\left(b x +a \right) b^{3}}+\frac{3 a^{2} d^{2} \ln \left(b x +a \right)}{b^{4}}+\frac{a \,c^{2}}{\left(b x +a \right) b^{2}}-\frac{4 a c d \ln \left(b x +a \right)}{b^{3}}-\frac{2 a \,d^{2} x}{b^{3}}+\frac{c^{2} \ln \left(b x +a \right)}{b^{2}}+\frac{2 c d x}{b^{2}}"," ",0,"1/2*d^2*x^2/b^2-2*d^2/b^3*x*a+2*d/b^2*x*c+3/b^4*ln(b*x+a)*a^2*d^2-4/b^3*ln(b*x+a)*a*c*d+1/b^2*ln(b*x+a)*c^2+a^3/b^4/(b*x+a)*d^2-2*a^2/b^3/(b*x+a)*c*d+a/b^2/(b*x+a)*c^2","A"
263,1,86,51,0.007000," ","int((d*x+c)^2/(b*x+a)^2,x)","-\frac{a^{2} d^{2}}{\left(b x +a \right) b^{3}}+\frac{2 a c d}{\left(b x +a \right) b^{2}}-\frac{2 a \,d^{2} \ln \left(b x +a \right)}{b^{3}}-\frac{c^{2}}{\left(b x +a \right) b}+\frac{2 c d \ln \left(b x +a \right)}{b^{2}}+\frac{d^{2} x}{b^{2}}"," ",0,"1/b^2*d^2*x-2/b^3*d^2*ln(b*x+a)*a+2/b^2*d*ln(b*x+a)*c-1/b^3/(b*x+a)*a^2*d^2+2/b^2/(b*x+a)*a*c*d-1/b/(b*x+a)*c^2","A"
264,1,81,58,0.010000," ","int((d*x+c)^2/x/(b*x+a)^2,x)","\frac{a \,d^{2}}{\left(b x +a \right) b^{2}}+\frac{c^{2}}{\left(b x +a \right) a}+\frac{c^{2} \ln \left(x \right)}{a^{2}}-\frac{c^{2} \ln \left(b x +a \right)}{a^{2}}-\frac{2 c d}{\left(b x +a \right) b}+\frac{d^{2} \ln \left(b x +a \right)}{b^{2}}"," ",0,"c^2*ln(x)/a^2+1/b^2*ln(b*x+a)*d^2-1/a^2*ln(b*x+a)*c^2+a/b^2/(b*x+a)*d^2-2/b/(b*x+a)*c*d+1/a/(b*x+a)*c^2","A"
265,1,106,73,0.010000," ","int((d*x+c)^2/x^2/(b*x+a)^2,x)","\frac{2 c d}{\left(b x +a \right) a}-\frac{b \,c^{2}}{\left(b x +a \right) a^{2}}+\frac{2 c d \ln \left(x \right)}{a^{2}}-\frac{2 c d \ln \left(b x +a \right)}{a^{2}}-\frac{2 b \,c^{2} \ln \left(x \right)}{a^{3}}+\frac{2 b \,c^{2} \ln \left(b x +a \right)}{a^{3}}-\frac{d^{2}}{\left(b x +a \right) b}-\frac{c^{2}}{a^{2} x}"," ",0,"-c^2/a^2/x+2*c/a^2*ln(x)*d-2*c^2/a^3*ln(x)*b-1/b/(b*x+a)*d^2+2/a/(b*x+a)*c*d-1/a^2*b/(b*x+a)*c^2-2*c/a^2*ln(b*x+a)*d+2*c^2/a^3*ln(b*x+a)*b","A"
266,1,158,101,0.013000," ","int((d*x+c)^2/x^3/(b*x+a)^2,x)","\frac{d^{2}}{\left(b x +a \right) a}-\frac{2 b c d}{\left(b x +a \right) a^{2}}+\frac{d^{2} \ln \left(x \right)}{a^{2}}-\frac{d^{2} \ln \left(b x +a \right)}{a^{2}}+\frac{b^{2} c^{2}}{\left(b x +a \right) a^{3}}-\frac{4 b c d \ln \left(x \right)}{a^{3}}+\frac{4 b c d \ln \left(b x +a \right)}{a^{3}}+\frac{3 b^{2} c^{2} \ln \left(x \right)}{a^{4}}-\frac{3 b^{2} c^{2} \ln \left(b x +a \right)}{a^{4}}-\frac{2 c d}{a^{2} x}+\frac{2 b \,c^{2}}{a^{3} x}-\frac{c^{2}}{2 a^{2} x^{2}}"," ",0,"-1/2*c^2/a^2/x^2+1/a^2*ln(x)*d^2-4/a^3*ln(x)*b*c*d+3/a^4*ln(x)*b^2*c^2-2*c/a^2/x*d+2*c^2/a^3/x*b-1/a^2*ln(b*x+a)*d^2+4/a^3*ln(b*x+a)*b*c*d-3/a^4*ln(b*x+a)*b^2*c^2+1/a/(b*x+a)*d^2-2/a^2/(b*x+a)*b*c*d+1/a^3/(b*x+a)*b^2*c^2","A"
267,1,205,130,0.013000," ","int((d*x+c)^2/x^4/(b*x+a)^2,x)","-\frac{b \,d^{2}}{\left(b x +a \right) a^{2}}+\frac{2 b^{2} c d}{\left(b x +a \right) a^{3}}-\frac{2 b \,d^{2} \ln \left(x \right)}{a^{3}}+\frac{2 b \,d^{2} \ln \left(b x +a \right)}{a^{3}}-\frac{b^{3} c^{2}}{\left(b x +a \right) a^{4}}+\frac{6 b^{2} c d \ln \left(x \right)}{a^{4}}-\frac{6 b^{2} c d \ln \left(b x +a \right)}{a^{4}}-\frac{4 b^{3} c^{2} \ln \left(x \right)}{a^{5}}+\frac{4 b^{3} c^{2} \ln \left(b x +a \right)}{a^{5}}-\frac{d^{2}}{a^{2} x}+\frac{4 b c d}{a^{3} x}-\frac{3 b^{2} c^{2}}{a^{4} x}-\frac{c d}{a^{2} x^{2}}+\frac{b \,c^{2}}{a^{3} x^{2}}-\frac{c^{2}}{3 a^{2} x^{3}}"," ",0,"-1/3*c^2/a^2/x^3-1/a^2/x*d^2+4/a^3/x*b*c*d-3/a^4/x*b^2*c^2-2*b/a^3*ln(x)*d^2+6*b^2/a^4*ln(x)*c*d-4*b^3/a^5*ln(x)*c^2-c/a^2/x^2*d+c^2/a^3/x^2*b-b/a^2/(b*x+a)*d^2+2*b^2/a^3/(b*x+a)*c*d-b^3/a^4/(b*x+a)*c^2+2*b/a^3*ln(b*x+a)*d^2-6*b^2/a^4*ln(b*x+a)*c*d+4*b^3/a^5*ln(b*x+a)*c^2","A"
268,1,249,161,0.015000," ","int((d*x+c)^2/x^5/(b*x+a)^2,x)","\frac{b^{2} d^{2}}{\left(b x +a \right) a^{3}}-\frac{2 b^{3} c d}{\left(b x +a \right) a^{4}}+\frac{3 b^{2} d^{2} \ln \left(x \right)}{a^{4}}-\frac{3 b^{2} d^{2} \ln \left(b x +a \right)}{a^{4}}+\frac{b^{4} c^{2}}{\left(b x +a \right) a^{5}}-\frac{8 b^{3} c d \ln \left(x \right)}{a^{5}}+\frac{8 b^{3} c d \ln \left(b x +a \right)}{a^{5}}+\frac{5 b^{4} c^{2} \ln \left(x \right)}{a^{6}}-\frac{5 b^{4} c^{2} \ln \left(b x +a \right)}{a^{6}}+\frac{2 b \,d^{2}}{a^{3} x}-\frac{6 b^{2} c d}{a^{4} x}+\frac{4 b^{3} c^{2}}{a^{5} x}-\frac{d^{2}}{2 a^{2} x^{2}}+\frac{2 b c d}{a^{3} x^{2}}-\frac{3 b^{2} c^{2}}{2 a^{4} x^{2}}-\frac{2 c d}{3 a^{2} x^{3}}+\frac{2 b \,c^{2}}{3 a^{3} x^{3}}-\frac{c^{2}}{4 a^{2} x^{4}}"," ",0,"-1/4*c^2/a^2/x^4-1/2/a^2/x^2*d^2+2/a^3/x^2*b*c*d-3/2/a^4/x^2*b^2*c^2+3*b^2/a^4*ln(x)*d^2-8*b^3/a^5*ln(x)*c*d+5*b^4/a^6*ln(x)*c^2+2*b/a^3/x*d^2-6*b^2/a^4/x*c*d+4*b^3/a^5/x*c^2-2/3*c/a^2/x^3*d+2/3*c^2/a^3/x^3*b-3*b^2/a^4*ln(b*x+a)*d^2+8*b^3/a^5*ln(b*x+a)*c*d-5*b^4/a^6*ln(b*x+a)*c^2+b^2/a^3/(b*x+a)*d^2-2*b^3/a^4/(b*x+a)*c*d+b^4/a^5/(b*x+a)*c^2","A"
269,1,378,190,0.013000," ","int(x^4*(d*x+c)^3/(b*x+a)^2,x)","\frac{d^{3} x^{6}}{6 b^{2}}-\frac{2 a \,d^{3} x^{5}}{5 b^{3}}+\frac{3 c \,d^{2} x^{5}}{5 b^{2}}+\frac{3 a^{2} d^{3} x^{4}}{4 b^{4}}-\frac{3 a c \,d^{2} x^{4}}{2 b^{3}}+\frac{3 c^{2} d \,x^{4}}{4 b^{2}}-\frac{4 a^{3} d^{3} x^{3}}{3 b^{5}}+\frac{3 a^{2} c \,d^{2} x^{3}}{b^{4}}-\frac{2 a \,c^{2} d \,x^{3}}{b^{3}}+\frac{c^{3} x^{3}}{3 b^{2}}+\frac{5 a^{4} d^{3} x^{2}}{2 b^{6}}-\frac{6 a^{3} c \,d^{2} x^{2}}{b^{5}}+\frac{9 a^{2} c^{2} d \,x^{2}}{2 b^{4}}-\frac{a \,c^{3} x^{2}}{b^{3}}+\frac{a^{7} d^{3}}{\left(b x +a \right) b^{8}}-\frac{3 a^{6} c \,d^{2}}{\left(b x +a \right) b^{7}}+\frac{7 a^{6} d^{3} \ln \left(b x +a \right)}{b^{8}}+\frac{3 a^{5} c^{2} d}{\left(b x +a \right) b^{6}}-\frac{18 a^{5} c \,d^{2} \ln \left(b x +a \right)}{b^{7}}-\frac{6 a^{5} d^{3} x}{b^{7}}-\frac{a^{4} c^{3}}{\left(b x +a \right) b^{5}}+\frac{15 a^{4} c^{2} d \ln \left(b x +a \right)}{b^{6}}+\frac{15 a^{4} c \,d^{2} x}{b^{6}}-\frac{4 a^{3} c^{3} \ln \left(b x +a \right)}{b^{5}}-\frac{12 a^{3} c^{2} d x}{b^{5}}+\frac{3 a^{2} c^{3} x}{b^{4}}"," ",0,"a^7/b^8/(b*x+a)*d^3-a^4/b^5/(b*x+a)*c^3-2/5/b^3*x^5*a*d^3+3/5/b^2*x^5*c*d^2+3/4/b^4*x^4*a^2*d^3+3/4/b^2*x^4*c^2*d-4/3/b^5*x^3*a^3*d^3+5/2/b^6*x^2*a^4*d^3-1/b^3*x^2*a*c^3-6/b^7*x*a^5*d^3+3/b^4*x*a^2*c^3+7*a^6/b^8*ln(b*x+a)*d^3-4*a^3/b^5*ln(b*x+a)*c^3-6/b^5*x^2*a^3*c*d^2+9/2/b^4*x^2*a^2*c^2*d+15/b^6*x*a^4*c*d^2+3/b^4*x^3*a^2*c*d^2-3/2/b^3*x^4*a*c*d^2+15*a^4/b^6*ln(b*x+a)*c^2*d-3*a^6/b^7/(b*x+a)*c*d^2+3*a^5/b^6/(b*x+a)*c^2*d-2/b^3*x^3*a*c^2*d-12/b^5*x*a^3*c^2*d-18*a^5/b^7*ln(b*x+a)*c*d^2+1/6*d^3*x^6/b^2+1/3/b^2*x^3*c^3","A"
270,1,318,158,0.010000," ","int(x^3*(d*x+c)^3/(b*x+a)^2,x)","\frac{d^{3} x^{5}}{5 b^{2}}-\frac{a \,d^{3} x^{4}}{2 b^{3}}+\frac{3 c \,d^{2} x^{4}}{4 b^{2}}+\frac{a^{2} d^{3} x^{3}}{b^{4}}-\frac{2 a c \,d^{2} x^{3}}{b^{3}}+\frac{c^{2} d \,x^{3}}{b^{2}}-\frac{2 a^{3} d^{3} x^{2}}{b^{5}}+\frac{9 a^{2} c \,d^{2} x^{2}}{2 b^{4}}-\frac{3 a \,c^{2} d \,x^{2}}{b^{3}}+\frac{c^{3} x^{2}}{2 b^{2}}-\frac{a^{6} d^{3}}{\left(b x +a \right) b^{7}}+\frac{3 a^{5} c \,d^{2}}{\left(b x +a \right) b^{6}}-\frac{6 a^{5} d^{3} \ln \left(b x +a \right)}{b^{7}}-\frac{3 a^{4} c^{2} d}{\left(b x +a \right) b^{5}}+\frac{15 a^{4} c \,d^{2} \ln \left(b x +a \right)}{b^{6}}+\frac{5 a^{4} d^{3} x}{b^{6}}+\frac{a^{3} c^{3}}{\left(b x +a \right) b^{4}}-\frac{12 a^{3} c^{2} d \ln \left(b x +a \right)}{b^{5}}-\frac{12 a^{3} c \,d^{2} x}{b^{5}}+\frac{3 a^{2} c^{3} \ln \left(b x +a \right)}{b^{4}}+\frac{9 a^{2} c^{2} d x}{b^{4}}-\frac{2 a \,c^{3} x}{b^{3}}"," ",0,"1/5*d^3*x^5/b^2-1/2/b^3*x^4*a*d^3+3/4/b^2*x^4*c*d^2+1/b^4*x^3*a^2*d^3-2/b^3*x^3*a*c*d^2+1/b^2*x^3*c^2*d-2/b^5*x^2*a^3*d^3+9/2/b^4*x^2*a^2*c*d^2-3/b^3*x^2*a*c^2*d+1/2/b^2*c^3*x^2+5/b^6*x*a^4*d^3-12/b^5*x*a^3*c*d^2+9/b^4*x*a^2*c^2*d-2/b^3*x*a*c^3-6*a^5/b^7*ln(b*x+a)*d^3+15*a^4/b^6*ln(b*x+a)*c*d^2-12*a^3/b^5*ln(b*x+a)*c^2*d+3*a^2/b^4*ln(b*x+a)*c^3-a^6/b^7/(b*x+a)*d^3+3*a^5/b^6/(b*x+a)*c*d^2-3*a^4/b^5/(b*x+a)*c^2*d+a^3/b^4/(b*x+a)*c^3","B"
271,1,260,130,0.008000," ","int(x^2*(d*x+c)^3/(b*x+a)^2,x)","\frac{d^{3} x^{4}}{4 b^{2}}-\frac{2 a \,d^{3} x^{3}}{3 b^{3}}+\frac{c \,d^{2} x^{3}}{b^{2}}+\frac{3 a^{2} d^{3} x^{2}}{2 b^{4}}-\frac{3 a c \,d^{2} x^{2}}{b^{3}}+\frac{3 c^{2} d \,x^{2}}{2 b^{2}}+\frac{a^{5} d^{3}}{\left(b x +a \right) b^{6}}-\frac{3 a^{4} c \,d^{2}}{\left(b x +a \right) b^{5}}+\frac{5 a^{4} d^{3} \ln \left(b x +a \right)}{b^{6}}+\frac{3 a^{3} c^{2} d}{\left(b x +a \right) b^{4}}-\frac{12 a^{3} c \,d^{2} \ln \left(b x +a \right)}{b^{5}}-\frac{4 a^{3} d^{3} x}{b^{5}}-\frac{a^{2} c^{3}}{\left(b x +a \right) b^{3}}+\frac{9 a^{2} c^{2} d \ln \left(b x +a \right)}{b^{4}}+\frac{9 a^{2} c \,d^{2} x}{b^{4}}-\frac{2 a \,c^{3} \ln \left(b x +a \right)}{b^{3}}-\frac{6 a \,c^{2} d x}{b^{3}}+\frac{c^{3} x}{b^{2}}"," ",0,"1/4*d^3*x^4/b^2-2/3/b^3*x^3*a*d^3+1/b^2*x^3*c*d^2+3/2/b^4*x^2*a^2*d^3-3/b^3*x^2*a*c*d^2+3/2/b^2*x^2*c^2*d-4/b^5*x*a^3*d^3+9/b^4*x*a^2*c*d^2-6/b^3*x*a*c^2*d+1/b^2*x*c^3+5*a^4/b^6*ln(b*x+a)*d^3-12*a^3/b^5*ln(b*x+a)*c*d^2+9*a^2/b^4*ln(b*x+a)*c^2*d-2*a/b^3*ln(b*x+a)*c^3+a^5/b^6/(b*x+a)*d^3-3*a^4/b^5/(b*x+a)*c*d^2+3*a^3/b^4/(b*x+a)*c^2*d-a^2/b^3/(b*x+a)*c^3","A"
272,1,205,99,0.008000," ","int(x*(d*x+c)^3/(b*x+a)^2,x)","\frac{d^{3} x^{3}}{3 b^{2}}-\frac{a \,d^{3} x^{2}}{b^{3}}+\frac{3 c \,d^{2} x^{2}}{2 b^{2}}-\frac{a^{4} d^{3}}{\left(b x +a \right) b^{5}}+\frac{3 a^{3} c \,d^{2}}{\left(b x +a \right) b^{4}}-\frac{4 a^{3} d^{3} \ln \left(b x +a \right)}{b^{5}}-\frac{3 a^{2} c^{2} d}{\left(b x +a \right) b^{3}}+\frac{9 a^{2} c \,d^{2} \ln \left(b x +a \right)}{b^{4}}+\frac{3 a^{2} d^{3} x}{b^{4}}+\frac{a \,c^{3}}{\left(b x +a \right) b^{2}}-\frac{6 a \,c^{2} d \ln \left(b x +a \right)}{b^{3}}-\frac{6 a c \,d^{2} x}{b^{3}}+\frac{c^{3} \ln \left(b x +a \right)}{b^{2}}+\frac{3 c^{2} d x}{b^{2}}"," ",0,"1/3*d^3*x^3/b^2-d^3/b^3*x^2*a+3/2*d^2/b^2*x^2*c+3*d^3/b^4*x*a^2-6*d^2/b^3*x*a*c+3*d/b^2*x*c^2-4/b^5*ln(b*x+a)*a^3*d^3+9/b^4*ln(b*x+a)*a^2*c*d^2-6/b^3*ln(b*x+a)*a*c^2*d+1/b^2*ln(b*x+a)*c^3-a^4/b^5/(b*x+a)*d^3+3*a^3/b^4/(b*x+a)*c*d^2-3*a^2/b^3/(b*x+a)*c^2*d+a/b^2/(b*x+a)*c^3","B"
273,1,149,73,0.010000," ","int((d*x+c)^3/(b*x+a)^2,x)","\frac{d^{3} x^{2}}{2 b^{2}}+\frac{a^{3} d^{3}}{\left(b x +a \right) b^{4}}-\frac{3 a^{2} c \,d^{2}}{\left(b x +a \right) b^{3}}+\frac{3 a^{2} d^{3} \ln \left(b x +a \right)}{b^{4}}+\frac{3 a \,c^{2} d}{\left(b x +a \right) b^{2}}-\frac{6 a c \,d^{2} \ln \left(b x +a \right)}{b^{3}}-\frac{2 a \,d^{3} x}{b^{3}}-\frac{c^{3}}{\left(b x +a \right) b}+\frac{3 c^{2} d \ln \left(b x +a \right)}{b^{2}}+\frac{3 c \,d^{2} x}{b^{2}}"," ",0,"1/2/b^2*d^3*x^2-2*d^3/b^3*x*a+3*c*d^2*x/b^2+3/b^4*d^3*ln(b*x+a)*a^2-6/b^3*d^2*ln(b*x+a)*a*c+3/b^2*d*ln(b*x+a)*c^2+1/b^4/(b*x+a)*a^3*d^3-3/b^3/(b*x+a)*a^2*c*d^2+3/b^2/(b*x+a)*a*c^2*d-1/b/(b*x+a)*c^3","B"
274,1,128,74,0.010000," ","int((d*x+c)^3/x/(b*x+a)^2,x)","-\frac{a^{2} d^{3}}{\left(b x +a \right) b^{3}}+\frac{3 a c \,d^{2}}{\left(b x +a \right) b^{2}}-\frac{2 a \,d^{3} \ln \left(b x +a \right)}{b^{3}}+\frac{c^{3}}{\left(b x +a \right) a}+\frac{c^{3} \ln \left(x \right)}{a^{2}}-\frac{c^{3} \ln \left(b x +a \right)}{a^{2}}-\frac{3 c^{2} d}{\left(b x +a \right) b}+\frac{3 c \,d^{2} \ln \left(b x +a \right)}{b^{2}}+\frac{d^{3} x}{b^{2}}"," ",0,"d^3*x/b^2+c^3*ln(x)/a^2-2/b^3*a*ln(b*x+a)*d^3+3/b^2*ln(b*x+a)*c*d^2-1/a^2*ln(b*x+a)*c^3-1/b^3*a^2/(b*x+a)*d^3+3/b^2*a/(b*x+a)*c*d^2-3/b/(b*x+a)*c^2*d+1/a/(b*x+a)*c^3","A"
275,1,141,87,0.013000," ","int((d*x+c)^3/x^2/(b*x+a)^2,x)","\frac{a \,d^{3}}{\left(b x +a \right) b^{2}}+\frac{3 c^{2} d}{\left(b x +a \right) a}-\frac{b \,c^{3}}{\left(b x +a \right) a^{2}}+\frac{3 c^{2} d \ln \left(x \right)}{a^{2}}-\frac{3 c^{2} d \ln \left(b x +a \right)}{a^{2}}-\frac{2 b \,c^{3} \ln \left(x \right)}{a^{3}}+\frac{2 b \,c^{3} \ln \left(b x +a \right)}{a^{3}}-\frac{3 c \,d^{2}}{\left(b x +a \right) b}+\frac{d^{3} \ln \left(b x +a \right)}{b^{2}}-\frac{c^{3}}{a^{2} x}"," ",0,"-c^3/a^2/x+3*c^2/a^2*ln(x)*d-2*c^3/a^3*ln(x)*b+1/b^2*ln(b*x+a)*d^3-3/a^2*ln(b*x+a)*c^2*d+2/a^3*b*ln(b*x+a)*c^3+1/b^2*a/(b*x+a)*d^3-3/b/(b*x+a)*c*d^2+3/a/(b*x+a)*c^2*d-b/a^2/(b*x+a)*c^3","A"
276,1,186,95,0.013000," ","int((d*x+c)^3/x^3/(b*x+a)^2,x)","\frac{3 c \,d^{2}}{\left(b x +a \right) a}-\frac{3 b \,c^{2} d}{\left(b x +a \right) a^{2}}+\frac{3 c \,d^{2} \ln \left(x \right)}{a^{2}}-\frac{3 c \,d^{2} \ln \left(b x +a \right)}{a^{2}}+\frac{b^{2} c^{3}}{\left(b x +a \right) a^{3}}-\frac{6 b \,c^{2} d \ln \left(x \right)}{a^{3}}+\frac{6 b \,c^{2} d \ln \left(b x +a \right)}{a^{3}}+\frac{3 b^{2} c^{3} \ln \left(x \right)}{a^{4}}-\frac{3 b^{2} c^{3} \ln \left(b x +a \right)}{a^{4}}-\frac{d^{3}}{\left(b x +a \right) b}-\frac{3 c^{2} d}{a^{2} x}+\frac{2 b \,c^{3}}{a^{3} x}-\frac{c^{3}}{2 a^{2} x^{2}}"," ",0,"-1/2*c^3/a^2/x^2-3*c^2/a^2/x*d+2*c^3/a^3/x*b+3*c/a^2*ln(x)*d^2-6*c^2/a^3*ln(x)*b*d+3*c^3/a^4*ln(x)*b^2-1/b/(b*x+a)*d^3+3/a/(b*x+a)*c*d^2-3/a^2*b/(b*x+a)*c^2*d+1/a^3*b^2/(b*x+a)*c^3-3*c/a^2*ln(b*x+a)*d^2+6*c^2/a^3*ln(b*x+a)*b*d-3*c^3/a^4*ln(b*x+a)*b^2","A"
277,1,256,128,0.013000," ","int((d*x+c)^3/x^4/(b*x+a)^2,x)","\frac{d^{3}}{\left(b x +a \right) a}-\frac{3 b c \,d^{2}}{\left(b x +a \right) a^{2}}+\frac{d^{3} \ln \left(x \right)}{a^{2}}-\frac{d^{3} \ln \left(b x +a \right)}{a^{2}}+\frac{3 b^{2} c^{2} d}{\left(b x +a \right) a^{3}}-\frac{6 b c \,d^{2} \ln \left(x \right)}{a^{3}}+\frac{6 b c \,d^{2} \ln \left(b x +a \right)}{a^{3}}-\frac{b^{3} c^{3}}{\left(b x +a \right) a^{4}}+\frac{9 b^{2} c^{2} d \ln \left(x \right)}{a^{4}}-\frac{9 b^{2} c^{2} d \ln \left(b x +a \right)}{a^{4}}-\frac{4 b^{3} c^{3} \ln \left(x \right)}{a^{5}}+\frac{4 b^{3} c^{3} \ln \left(b x +a \right)}{a^{5}}-\frac{3 c \,d^{2}}{a^{2} x}+\frac{6 b \,c^{2} d}{a^{3} x}-\frac{3 b^{2} c^{3}}{a^{4} x}-\frac{3 c^{2} d}{2 a^{2} x^{2}}+\frac{b \,c^{3}}{a^{3} x^{2}}-\frac{c^{3}}{3 a^{2} x^{3}}"," ",0,"-1/3*c^3/a^2/x^3+1/a^2*ln(x)*d^3-6/a^3*ln(x)*b*c*d^2+9/a^4*ln(x)*b^2*c^2*d-4/a^5*ln(x)*b^3*c^3-3/2*c^2/a^2/x^2*d+c^3/a^3/x^2*b-3*c/a^2/x*d^2+6*c^2/a^3/x*b*d-3*c^3/a^4/x*b^2-1/a^2*ln(b*x+a)*d^3+6/a^3*ln(b*x+a)*b*c*d^2-9/a^4*ln(b*x+a)*b^2*c^2*d+4/a^5*ln(b*x+a)*b^3*c^3+1/a/(b*x+a)*d^3-3/a^2/(b*x+a)*b*c*d^2+3/a^3/(b*x+a)*b^2*c^2*d-1/a^4/(b*x+a)*b^3*c^3","A"
278,1,320,156,0.014000," ","int((d*x+c)^3/x^5/(b*x+a)^2,x)","-\frac{b \,d^{3}}{\left(b x +a \right) a^{2}}+\frac{3 b^{2} c \,d^{2}}{\left(b x +a \right) a^{3}}-\frac{2 b \,d^{3} \ln \left(x \right)}{a^{3}}+\frac{2 b \,d^{3} \ln \left(b x +a \right)}{a^{3}}-\frac{3 b^{3} c^{2} d}{\left(b x +a \right) a^{4}}+\frac{9 b^{2} c \,d^{2} \ln \left(x \right)}{a^{4}}-\frac{9 b^{2} c \,d^{2} \ln \left(b x +a \right)}{a^{4}}+\frac{b^{4} c^{3}}{\left(b x +a \right) a^{5}}-\frac{12 b^{3} c^{2} d \ln \left(x \right)}{a^{5}}+\frac{12 b^{3} c^{2} d \ln \left(b x +a \right)}{a^{5}}+\frac{5 b^{4} c^{3} \ln \left(x \right)}{a^{6}}-\frac{5 b^{4} c^{3} \ln \left(b x +a \right)}{a^{6}}-\frac{d^{3}}{a^{2} x}+\frac{6 b c \,d^{2}}{a^{3} x}-\frac{9 b^{2} c^{2} d}{a^{4} x}+\frac{4 b^{3} c^{3}}{a^{5} x}-\frac{3 c \,d^{2}}{2 a^{2} x^{2}}+\frac{3 b \,c^{2} d}{a^{3} x^{2}}-\frac{3 b^{2} c^{3}}{2 a^{4} x^{2}}-\frac{c^{2} d}{a^{2} x^{3}}+\frac{2 b \,c^{3}}{3 a^{3} x^{3}}-\frac{c^{3}}{4 a^{2} x^{4}}"," ",0,"-1/4*c^3/a^2/x^4-1/a^2/x*d^3+6/a^3/x*b*c*d^2-9/a^4/x*b^2*c^2*d+4/a^5/x*b^3*c^3-c^2/a^2/x^3*d+2/3*c^3/a^3/x^3*b-2*b/a^3*ln(x)*d^3+9*b^2/a^4*ln(x)*c*d^2-12*b^3/a^5*ln(x)*c^2*d+5*b^4/a^6*ln(x)*c^3-3/2*c/a^2/x^2*d^2+3*c^2/a^3/x^2*b*d-3/2*c^3/a^4/x^2*b^2+2*b/a^3*ln(b*x+a)*d^3-9*b^2/a^4*ln(b*x+a)*c*d^2+12*b^3/a^5*ln(b*x+a)*c^2*d-5*b^4/a^6*ln(b*x+a)*c^3-b/a^2/(b*x+a)*d^3+3*b^2/a^3/(b*x+a)*c*d^2-3*b^3/a^4/(b*x+a)*c^2*d+b^4/a^5/(b*x+a)*c^3","B"
279,1,382,193,0.016000," ","int((d*x+c)^3/x^6/(b*x+a)^2,x)","\frac{b^{2} d^{3}}{\left(b x +a \right) a^{3}}-\frac{3 b^{3} c \,d^{2}}{\left(b x +a \right) a^{4}}+\frac{3 b^{2} d^{3} \ln \left(x \right)}{a^{4}}-\frac{3 b^{2} d^{3} \ln \left(b x +a \right)}{a^{4}}+\frac{3 b^{4} c^{2} d}{\left(b x +a \right) a^{5}}-\frac{12 b^{3} c \,d^{2} \ln \left(x \right)}{a^{5}}+\frac{12 b^{3} c \,d^{2} \ln \left(b x +a \right)}{a^{5}}-\frac{b^{5} c^{3}}{\left(b x +a \right) a^{6}}+\frac{15 b^{4} c^{2} d \ln \left(x \right)}{a^{6}}-\frac{15 b^{4} c^{2} d \ln \left(b x +a \right)}{a^{6}}-\frac{6 b^{5} c^{3} \ln \left(x \right)}{a^{7}}+\frac{6 b^{5} c^{3} \ln \left(b x +a \right)}{a^{7}}+\frac{2 b \,d^{3}}{a^{3} x}-\frac{9 b^{2} c \,d^{2}}{a^{4} x}+\frac{12 b^{3} c^{2} d}{a^{5} x}-\frac{5 b^{4} c^{3}}{a^{6} x}-\frac{d^{3}}{2 a^{2} x^{2}}+\frac{3 b c \,d^{2}}{a^{3} x^{2}}-\frac{9 b^{2} c^{2} d}{2 a^{4} x^{2}}+\frac{2 b^{3} c^{3}}{a^{5} x^{2}}-\frac{c \,d^{2}}{a^{2} x^{3}}+\frac{2 b \,c^{2} d}{a^{3} x^{3}}-\frac{b^{2} c^{3}}{a^{4} x^{3}}-\frac{3 c^{2} d}{4 a^{2} x^{4}}+\frac{b \,c^{3}}{2 a^{3} x^{4}}-\frac{c^{3}}{5 a^{2} x^{5}}"," ",0,"-3/4*c^2/a^2/x^4*d+1/2*c^3/a^3/x^4*b+2*b/a^3/x*d^3-5*b^4/a^6/x*c^3+3*b^2/a^4*ln(x)*d^3-6*b^5/a^7*ln(x)*c^3-c/a^2/x^3*d^2-c^3/a^4/x^3*b^2-3*b^2/a^4*ln(b*x+a)*d^3+6*b^5/a^7*ln(b*x+a)*c^3+b^2/a^3/(b*x+a)*d^3-b^5/a^6/(b*x+a)*c^3+2/a^5/x^2*b^3*c^3+3/a^3/x^2*b*c*d^2-9/2/a^4/x^2*b^2*c^2*d-1/2/a^2/x^2*d^3-1/5*c^3/a^2/x^5-9*b^2/a^4/x*c*d^2+12*b^3/a^5/x*c^2*d-12*b^3/a^5*ln(x)*c*d^2+15*b^4/a^6*ln(x)*c^2*d+2*c^2/a^3/x^3*b*d+12*b^3/a^5*ln(b*x+a)*c*d^2-15*b^4/a^6*ln(b*x+a)*c^2*d-3*b^3/a^4/(b*x+a)*c*d^2+3*b^4/a^5/(b*x+a)*c^2*d","A"
280,1,222,177,0.015000," ","int(x^6/(b*x+a)^2/(d*x+c)^2,x)","-\frac{4 a^{6} d \ln \left(b x +a \right)}{\left(a d -b c \right)^{3} b^{5}}+\frac{6 a^{5} c \ln \left(b x +a \right)}{\left(a d -b c \right)^{3} b^{4}}-\frac{6 a \,c^{5} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} d^{4}}+\frac{4 b \,c^{6} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} d^{5}}-\frac{a^{6}}{\left(a d -b c \right)^{2} \left(b x +a \right) b^{5}}-\frac{c^{6}}{\left(a d -b c \right)^{2} \left(d x +c \right) d^{5}}+\frac{x^{3}}{3 b^{2} d^{2}}-\frac{a \,x^{2}}{b^{3} d^{2}}-\frac{c \,x^{2}}{b^{2} d^{3}}+\frac{3 a^{2} x}{b^{4} d^{2}}+\frac{4 a c x}{b^{3} d^{3}}+\frac{3 c^{2} x}{b^{2} d^{4}}"," ",0,"1/3*x^3/b^2/d^2-1/b^3/d^2*x^2*a-1/b^2/d^3*x^2*c+3/b^4/d^2*x*a^2+4/b^3/d^3*x*a*c+3/b^2/d^4*x*c^2-1/d^5*c^6/(a*d-b*c)^2/(d*x+c)-6/d^4*c^5/(a*d-b*c)^3*ln(d*x+c)*a+4/d^5*c^6/(a*d-b*c)^3*ln(d*x+c)*b-1/b^5*a^6/(a*d-b*c)^2/(b*x+a)-4/b^5*a^6/(a*d-b*c)^3*ln(b*x+a)*d+6/b^4*a^5/(a*d-b*c)^3*ln(b*x+a)*c","A"
281,1,181,140,0.016000," ","int(x^5/(b*x+a)^2/(d*x+c)^2,x)","\frac{3 a^{5} d \ln \left(b x +a \right)}{\left(a d -b c \right)^{3} b^{4}}-\frac{5 a^{4} c \ln \left(b x +a \right)}{\left(a d -b c \right)^{3} b^{3}}+\frac{5 a \,c^{4} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} d^{3}}-\frac{3 b \,c^{5} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} d^{4}}+\frac{a^{5}}{\left(a d -b c \right)^{2} \left(b x +a \right) b^{4}}+\frac{c^{5}}{\left(a d -b c \right)^{2} \left(d x +c \right) d^{4}}+\frac{x^{2}}{2 b^{2} d^{2}}-\frac{2 a x}{b^{3} d^{2}}-\frac{2 c x}{b^{2} d^{3}}"," ",0,"1/2*x^2/b^2/d^2-2/b^3/d^2*x*a-2/b^2/d^3*x*c+5/d^3*c^4/(a*d-b*c)^3*ln(d*x+c)*a-3/d^4*c^5/(a*d-b*c)^3*ln(d*x+c)*b+1/d^4*c^5/(a*d-b*c)^2/(d*x+c)+3/b^4*a^5/(a*d-b*c)^3*ln(b*x+a)*d-5/b^3*a^4/(a*d-b*c)^3*ln(b*x+a)*c+1/b^4*a^5/(a*d-b*c)^2/(b*x+a)","A"
282,1,160,124,0.015000," ","int(x^4/(b*x+a)^2/(d*x+c)^2,x)","-\frac{2 a^{4} d \ln \left(b x +a \right)}{\left(a d -b c \right)^{3} b^{3}}+\frac{4 a^{3} c \ln \left(b x +a \right)}{\left(a d -b c \right)^{3} b^{2}}-\frac{4 a \,c^{3} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} d^{2}}+\frac{2 b \,c^{4} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} d^{3}}-\frac{a^{4}}{\left(a d -b c \right)^{2} \left(b x +a \right) b^{3}}-\frac{c^{4}}{\left(a d -b c \right)^{2} \left(d x +c \right) d^{3}}+\frac{x}{b^{2} d^{2}}"," ",0,"x/b^2/d^2-1/d^3*c^4/(a*d-b*c)^2/(d*x+c)-4/d^2*c^3/(a*d-b*c)^3*ln(d*x+c)*a+2/d^3*c^4/(a*d-b*c)^3*ln(d*x+c)*b-1/b^3*a^4/(a*d-b*c)^2/(b*x+a)-2/b^3*a^4/(a*d-b*c)^3*ln(b*x+a)*d+4/b^2*a^3/(a*d-b*c)^3*ln(b*x+a)*c","A"
283,1,149,112,0.013000," ","int(x^3/(b*x+a)^2/(d*x+c)^2,x)","\frac{a^{3} d \ln \left(b x +a \right)}{\left(a d -b c \right)^{3} b^{2}}-\frac{3 a^{2} c \ln \left(b x +a \right)}{\left(a d -b c \right)^{3} b}+\frac{3 a \,c^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} d}-\frac{b \,c^{3} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} d^{2}}+\frac{a^{3}}{\left(a d -b c \right)^{2} \left(b x +a \right) b^{2}}+\frac{c^{3}}{\left(a d -b c \right)^{2} \left(d x +c \right) d^{2}}"," ",0,"3*c^2/(a*d-b*c)^3/d*ln(d*x+c)*a-c^3/(a*d-b*c)^3/d^2*ln(d*x+c)*b+c^3/d^2/(a*d-b*c)^2/(d*x+c)+a^3/(a*d-b*c)^3/b^2*ln(b*x+a)*d-3*a^2/(a*d-b*c)^3/b*ln(b*x+a)*c+a^3/b^2/(a*d-b*c)^2/(b*x+a)","A"
284,1,92,91,0.011000," ","int(x^2/(b*x+a)^2/(d*x+c)^2,x)","\frac{2 a c \ln \left(b x +a \right)}{\left(a d -b c \right)^{3}}-\frac{2 a c \ln \left(d x +c \right)}{\left(a d -b c \right)^{3}}-\frac{a^{2}}{\left(a d -b c \right)^{2} \left(b x +a \right) b}-\frac{c^{2}}{\left(a d -b c \right)^{2} \left(d x +c \right) d}"," ",0,"-c^2/(a*d-b*c)^2/d/(d*x+c)-2*c*a/(a*d-b*c)^3*ln(d*x+c)-a^2/(a*d-b*c)^2/b/(b*x+a)+2*c*a/(a*d-b*c)^3*ln(b*x+a)","A"
285,1,118,88,0.011000," ","int(x/(b*x+a)^2/(d*x+c)^2,x)","-\frac{a d \ln \left(b x +a \right)}{\left(a d -b c \right)^{3}}+\frac{a d \ln \left(d x +c \right)}{\left(a d -b c \right)^{3}}-\frac{b c \ln \left(b x +a \right)}{\left(a d -b c \right)^{3}}+\frac{b c \ln \left(d x +c \right)}{\left(a d -b c \right)^{3}}+\frac{a}{\left(a d -b c \right)^{2} \left(b x +a \right)}+\frac{c}{\left(a d -b c \right)^{2} \left(d x +c \right)}"," ",0,"1/(a*d-b*c)^3*ln(d*x+c)*a*d+1/(a*d-b*c)^3*ln(d*x+c)*b*c+c/(a*d-b*c)^2/(d*x+c)+a/(a*d-b*c)^2/(b*x+a)-1/(a*d-b*c)^3*ln(b*x+a)*a*d-1/(a*d-b*c)^3*ln(b*x+a)*b*c","A"
286,1,82,81,0.011000," ","int(1/(b*x+a)^2/(d*x+c)^2,x)","\frac{2 b d \ln \left(b x +a \right)}{\left(a d -b c \right)^{3}}-\frac{2 b d \ln \left(d x +c \right)}{\left(a d -b c \right)^{3}}-\frac{b}{\left(a d -b c \right)^{2} \left(b x +a \right)}-\frac{d}{\left(a d -b c \right)^{2} \left(d x +c \right)}"," ",0,"-d/(a*d-b*c)^2/(d*x+c)-2*d/(a*d-b*c)^3*b*ln(d*x+c)-b/(a*d-b*c)^2/(b*x+a)+2*d/(a*d-b*c)^3*b*ln(b*x+a)","A"
287,1,158,123,0.014000," ","int(1/x/(b*x+a)^2/(d*x+c)^2,x)","-\frac{a \,d^{3} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} c^{2}}-\frac{3 b^{2} d \ln \left(b x +a \right)}{\left(a d -b c \right)^{3} a}+\frac{b^{3} c \ln \left(b x +a \right)}{\left(a d -b c \right)^{3} a^{2}}+\frac{3 b \,d^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} c}+\frac{b^{2}}{\left(a d -b c \right)^{2} \left(b x +a \right) a}+\frac{d^{2}}{\left(a d -b c \right)^{2} \left(d x +c \right) c}+\frac{\ln \left(x \right)}{a^{2} c^{2}}"," ",0,"ln(x)/a^2/c^2+d^2/c/(a*d-b*c)^2/(d*x+c)-d^3/c^2/(a*d-b*c)^3*ln(d*x+c)*a+3*d^2/c/(a*d-b*c)^3*ln(d*x+c)*b+1/a*b^2/(a*d-b*c)^2/(b*x+a)-3*b^2/a/(a*d-b*c)^3*ln(b*x+a)*d+b^3/a^2/(a*d-b*c)^3*ln(b*x+a)*c","A"
288,1,185,144,0.015000," ","int(1/x^2/(b*x+a)^2/(d*x+c)^2,x)","\frac{2 a \,d^{4} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} c^{3}}+\frac{4 b^{3} d \ln \left(b x +a \right)}{\left(a d -b c \right)^{3} a^{2}}-\frac{2 b^{4} c \ln \left(b x +a \right)}{\left(a d -b c \right)^{3} a^{3}}-\frac{4 b \,d^{3} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} c^{2}}-\frac{b^{3}}{\left(a d -b c \right)^{2} \left(b x +a \right) a^{2}}-\frac{d^{3}}{\left(a d -b c \right)^{2} \left(d x +c \right) c^{2}}-\frac{2 d \ln \left(x \right)}{a^{2} c^{3}}-\frac{2 b \ln \left(x \right)}{a^{3} c^{2}}-\frac{1}{a^{2} c^{2} x}"," ",0,"-1/a^2/c^2/x-2/a^2/c^3*ln(x)*d-2/a^3/c^2*ln(x)*b-d^3/c^2/(a*d-b*c)^2/(d*x+c)+2*d^4/c^3/(a*d-b*c)^3*ln(d*x+c)*a-4*d^3/c^2/(a*d-b*c)^3*ln(d*x+c)*b-b^3/a^2/(a*d-b*c)^2/(b*x+a)+4*b^3/a^2/(a*d-b*c)^3*ln(b*x+a)*d-2*b^4/a^3/(a*d-b*c)^3*ln(b*x+a)*c","A"
289,1,223,176,0.018000," ","int(1/x^3/(b*x+a)^2/(d*x+c)^2,x)","-\frac{3 a \,d^{5} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} c^{4}}-\frac{5 b^{4} d \ln \left(b x +a \right)}{\left(a d -b c \right)^{3} a^{3}}+\frac{3 b^{5} c \ln \left(b x +a \right)}{\left(a d -b c \right)^{3} a^{4}}+\frac{5 b \,d^{4} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} c^{3}}+\frac{b^{4}}{\left(a d -b c \right)^{2} \left(b x +a \right) a^{3}}+\frac{d^{4}}{\left(a d -b c \right)^{2} \left(d x +c \right) c^{3}}+\frac{3 d^{2} \ln \left(x \right)}{a^{2} c^{4}}+\frac{4 b d \ln \left(x \right)}{a^{3} c^{3}}+\frac{3 b^{2} \ln \left(x \right)}{a^{4} c^{2}}+\frac{2 d}{a^{2} c^{3} x}+\frac{2 b}{a^{3} c^{2} x}-\frac{1}{2 a^{2} c^{2} x^{2}}"," ",0,"-1/2/a^2/c^2/x^2+2/a^2/c^3/x*d+2/a^3/c^2/x*b+3/a^2/c^4*ln(x)*d^2+4/a^3/c^3*ln(x)*b*d+3/a^4/c^2*ln(x)*b^2+d^4/c^3/(a*d-b*c)^2/(d*x+c)-3*d^5/c^4/(a*d-b*c)^3*ln(d*x+c)*a+5*d^4/c^3/(a*d-b*c)^3*ln(d*x+c)*b+1/a^3*b^4/(a*d-b*c)^2/(b*x+a)-5*b^4/a^3/(a*d-b*c)^3*ln(b*x+a)*d+3*b^5/a^4/(a*d-b*c)^3*ln(b*x+a)*c","A"
290,1,304,225,0.017000," ","int(x^7/(b*x+a)^2/(d*x+c)^3,x)","-\frac{4 a^{7} d \ln \left(b x +a \right)}{\left(a d -b c \right)^{4} b^{5}}+\frac{7 a^{6} c \ln \left(b x +a \right)}{\left(a d -b c \right)^{4} b^{4}}-\frac{21 a^{2} c^{5} \ln \left(d x +c \right)}{\left(a d -b c \right)^{4} d^{4}}+\frac{28 a b \,c^{6} \ln \left(d x +c \right)}{\left(a d -b c \right)^{4} d^{5}}-\frac{10 b^{2} c^{7} \ln \left(d x +c \right)}{\left(a d -b c \right)^{4} d^{6}}-\frac{a^{7}}{\left(a d -b c \right)^{3} \left(b x +a \right) b^{5}}-\frac{7 a \,c^{6}}{\left(a d -b c \right)^{3} \left(d x +c \right) d^{5}}+\frac{5 b \,c^{7}}{\left(a d -b c \right)^{3} \left(d x +c \right) d^{6}}+\frac{c^{7}}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} d^{6}}+\frac{x^{3}}{3 b^{2} d^{3}}-\frac{a \,x^{2}}{b^{3} d^{3}}-\frac{3 c \,x^{2}}{2 b^{2} d^{4}}+\frac{3 a^{2} x}{b^{4} d^{3}}+\frac{6 a c x}{b^{3} d^{4}}+\frac{6 c^{2} x}{b^{2} d^{5}}"," ",0,"1/3*x^3/b^2/d^3-1/b^3/d^3*x^2*a-3/2/b^2/d^4*x^2*c+3/b^4/d^3*x*a^2+6/b^3/d^4*x*a*c+6/b^2/d^5*x*c^2-7/d^5*c^6/(a*d-b*c)^3/(d*x+c)*a+5/d^6*c^7/(a*d-b*c)^3/(d*x+c)*b+1/2/d^6*c^7/(a*d-b*c)^2/(d*x+c)^2-21/d^4*c^5/(a*d-b*c)^4*ln(d*x+c)*a^2+28/d^5*c^6/(a*d-b*c)^4*ln(d*x+c)*a*b-10/d^6*c^7/(a*d-b*c)^4*ln(d*x+c)*b^2-1/b^5*a^7/(a*d-b*c)^3/(b*x+a)-4/b^5*a^7/(a*d-b*c)^4*ln(b*x+a)*d+7/b^4*a^6/(a*d-b*c)^4*ln(b*x+a)*c","A"
291,1,264,194,0.016000," ","int(x^6/(b*x+a)^2/(d*x+c)^3,x)","\frac{3 a^{6} d \ln \left(b x +a \right)}{\left(a d -b c \right)^{4} b^{4}}-\frac{6 a^{5} c \ln \left(b x +a \right)}{\left(a d -b c \right)^{4} b^{3}}+\frac{15 a^{2} c^{4} \ln \left(d x +c \right)}{\left(a d -b c \right)^{4} d^{3}}-\frac{18 a b \,c^{5} \ln \left(d x +c \right)}{\left(a d -b c \right)^{4} d^{4}}+\frac{6 b^{2} c^{6} \ln \left(d x +c \right)}{\left(a d -b c \right)^{4} d^{5}}+\frac{a^{6}}{\left(a d -b c \right)^{3} \left(b x +a \right) b^{4}}+\frac{6 a \,c^{5}}{\left(a d -b c \right)^{3} \left(d x +c \right) d^{4}}-\frac{4 b \,c^{6}}{\left(a d -b c \right)^{3} \left(d x +c \right) d^{5}}-\frac{c^{6}}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} d^{5}}+\frac{x^{2}}{2 b^{2} d^{3}}-\frac{2 a x}{b^{3} d^{3}}-\frac{3 c x}{b^{2} d^{4}}"," ",0,"1/2*x^2/b^2/d^3-2/b^3/d^3*x*a-3/b^2/d^4*x*c-1/2/d^5*c^6/(a*d-b*c)^2/(d*x+c)^2+15/d^3*c^4/(a*d-b*c)^4*ln(d*x+c)*a^2-18/d^4*c^5/(a*d-b*c)^4*ln(d*x+c)*a*b+6/d^5*c^6/(a*d-b*c)^4*ln(d*x+c)*b^2+6/d^4*c^5/(a*d-b*c)^3/(d*x+c)*a-4/d^5*c^6/(a*d-b*c)^3/(d*x+c)*b+1/b^4*a^6/(a*d-b*c)^3/(b*x+a)+3/b^4*a^6/(a*d-b*c)^4*ln(b*x+a)*d-6/b^3*a^5/(a*d-b*c)^4*ln(b*x+a)*c","A"
292,1,242,171,0.016000," ","int(x^5/(b*x+a)^2/(d*x+c)^3,x)","-\frac{2 a^{5} d \ln \left(b x +a \right)}{\left(a d -b c \right)^{4} b^{3}}+\frac{5 a^{4} c \ln \left(b x +a \right)}{\left(a d -b c \right)^{4} b^{2}}-\frac{10 a^{2} c^{3} \ln \left(d x +c \right)}{\left(a d -b c \right)^{4} d^{2}}+\frac{10 a b \,c^{4} \ln \left(d x +c \right)}{\left(a d -b c \right)^{4} d^{3}}-\frac{3 b^{2} c^{5} \ln \left(d x +c \right)}{\left(a d -b c \right)^{4} d^{4}}-\frac{a^{5}}{\left(a d -b c \right)^{3} \left(b x +a \right) b^{3}}-\frac{5 a \,c^{4}}{\left(a d -b c \right)^{3} \left(d x +c \right) d^{3}}+\frac{3 b \,c^{5}}{\left(a d -b c \right)^{3} \left(d x +c \right) d^{4}}+\frac{c^{5}}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} d^{4}}+\frac{x}{b^{2} d^{3}}"," ",0,"x/b^2/d^3-5/d^3*c^4/(a*d-b*c)^3/(d*x+c)*a+3/d^4*c^5/(a*d-b*c)^3/(d*x+c)*b+1/2/d^4*c^5/(a*d-b*c)^2/(d*x+c)^2-10/d^2*c^3/(a*d-b*c)^4*ln(d*x+c)*a^2+10/d^3*c^4/(a*d-b*c)^4*ln(d*x+c)*a*b-3/d^4*c^5/(a*d-b*c)^4*ln(d*x+c)*b^2-1/b^3*a^5/(a*d-b*c)^3/(b*x+a)-2/b^3*a^5/(a*d-b*c)^4*ln(b*x+a)*d+5/b^2*a^4/(a*d-b*c)^4*ln(b*x+a)*c","A"
293,1,231,162,0.014000," ","int(x^4/(b*x+a)^2/(d*x+c)^3,x)","\frac{a^{4} d \ln \left(b x +a \right)}{\left(a d -b c \right)^{4} b^{2}}-\frac{4 a^{3} c \ln \left(b x +a \right)}{\left(a d -b c \right)^{4} b}+\frac{6 a^{2} c^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{4} d}-\frac{4 a b \,c^{3} \ln \left(d x +c \right)}{\left(a d -b c \right)^{4} d^{2}}+\frac{b^{2} c^{4} \ln \left(d x +c \right)}{\left(a d -b c \right)^{4} d^{3}}+\frac{a^{4}}{\left(a d -b c \right)^{3} \left(b x +a \right) b^{2}}+\frac{4 a \,c^{3}}{\left(a d -b c \right)^{3} \left(d x +c \right) d^{2}}-\frac{2 b \,c^{4}}{\left(a d -b c \right)^{3} \left(d x +c \right) d^{3}}-\frac{c^{4}}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} d^{3}}"," ",0,"-1/2*c^4/d^3/(a*d-b*c)^2/(d*x+c)^2+6*c^2/(a*d-b*c)^4/d*ln(d*x+c)*a^2-4*c^3/(a*d-b*c)^4/d^2*ln(d*x+c)*a*b+c^4/(a*d-b*c)^4/d^3*ln(d*x+c)*b^2+4*c^3/d^2/(a*d-b*c)^3/(d*x+c)*a-2*c^4/d^3/(a*d-b*c)^3/(d*x+c)*b+a^4/(a*d-b*c)^4/b^2*ln(b*x+a)*d-4*a^3/(a*d-b*c)^4/b*ln(b*x+a)*c+a^4/b^2/(a*d-b*c)^3/(b*x+a)","A"
294,1,147,127,0.011000," ","int(x^3/(b*x+a)^2/(d*x+c)^3,x)","\frac{3 a^{2} c \ln \left(b x +a \right)}{\left(a d -b c \right)^{4}}-\frac{3 a^{2} c \ln \left(d x +c \right)}{\left(a d -b c \right)^{4}}-\frac{a^{3}}{\left(a d -b c \right)^{3} \left(b x +a \right) b}-\frac{3 a \,c^{2}}{\left(a d -b c \right)^{3} \left(d x +c \right) d}+\frac{b \,c^{3}}{\left(a d -b c \right)^{3} \left(d x +c \right) d^{2}}+\frac{c^{3}}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} d^{2}}"," ",0,"-3*c^2/(a*d-b*c)^3/d/(d*x+c)*a+c^3/(a*d-b*c)^3/d^2/(d*x+c)*b+1/2*c^3/d^2/(a*d-b*c)^2/(d*x+c)^2-3*c*a^2/(a*d-b*c)^4*ln(d*x+c)-a^3/(a*d-b*c)^3/b/(b*x+a)+3*c*a^2/(a*d-b*c)^4*ln(b*x+a)","A"
295,1,154,122,0.011000," ","int(x^2/(b*x+a)^2/(d*x+c)^3,x)","-\frac{a^{2} d \ln \left(b x +a \right)}{\left(a d -b c \right)^{4}}+\frac{a^{2} d \ln \left(d x +c \right)}{\left(a d -b c \right)^{4}}-\frac{2 a b c \ln \left(b x +a \right)}{\left(a d -b c \right)^{4}}+\frac{2 a b c \ln \left(d x +c \right)}{\left(a d -b c \right)^{4}}+\frac{a^{2}}{\left(a d -b c \right)^{3} \left(b x +a \right)}+\frac{2 a c}{\left(a d -b c \right)^{3} \left(d x +c \right)}-\frac{c^{2}}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} d}"," ",0,"-1/2*c^2/(a*d-b*c)^2/d/(d*x+c)^2+a^2/(a*d-b*c)^4*ln(d*x+c)*d+2*a/(a*d-b*c)^4*ln(d*x+c)*b*c+2*c*a/(a*d-b*c)^3/(d*x+c)+a^2/(a*d-b*c)^3/(b*x+a)-a^2/(a*d-b*c)^4*ln(b*x+a)*d-2*a/(a*d-b*c)^4*ln(b*x+a)*b*c","A"
296,1,170,119,0.012000," ","int(x/(b*x+a)^2/(d*x+c)^3,x)","\frac{2 a b d \ln \left(b x +a \right)}{\left(a d -b c \right)^{4}}-\frac{2 a b d \ln \left(d x +c \right)}{\left(a d -b c \right)^{4}}+\frac{b^{2} c \ln \left(b x +a \right)}{\left(a d -b c \right)^{4}}-\frac{b^{2} c \ln \left(d x +c \right)}{\left(a d -b c \right)^{4}}-\frac{a b}{\left(a d -b c \right)^{3} \left(b x +a \right)}-\frac{a d}{\left(a d -b c \right)^{3} \left(d x +c \right)}-\frac{b c}{\left(a d -b c \right)^{3} \left(d x +c \right)}+\frac{c}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2}}"," ",0,"-1/(a*d-b*c)^3/(d*x+c)*a*d-1/(a*d-b*c)^3/(d*x+c)*b*c+1/2*c/(a*d-b*c)^2/(d*x+c)^2-2*b/(a*d-b*c)^4*ln(d*x+c)*a*d-b^2/(a*d-b*c)^4*ln(d*x+c)*c-a*b/(a*d-b*c)^3/(b*x+a)+2*b/(a*d-b*c)^4*ln(b*x+a)*a*d+b^2/(a*d-b*c)^4*ln(b*x+a)*c","A"
297,1,108,108,0.012000," ","int(1/(b*x+a)^2/(d*x+c)^3,x)","-\frac{3 b^{2} d \ln \left(b x +a \right)}{\left(a d -b c \right)^{4}}+\frac{3 b^{2} d \ln \left(d x +c \right)}{\left(a d -b c \right)^{4}}+\frac{b^{2}}{\left(a d -b c \right)^{3} \left(b x +a \right)}+\frac{2 b d}{\left(a d -b c \right)^{3} \left(d x +c \right)}-\frac{d}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2}}"," ",0,"-1/2*d/(a*d-b*c)^2/(d*x+c)^2+3*d/(a*d-b*c)^4*b^2*ln(d*x+c)+2*d/(a*d-b*c)^3*b/(d*x+c)+b^2/(a*d-b*c)^3/(b*x+a)-3*d/(a*d-b*c)^4*b^2*ln(b*x+a)","A"
298,1,242,170,0.016000," ","int(1/x/(b*x+a)^2/(d*x+c)^3,x)","-\frac{a^{2} d^{4} \ln \left(d x +c \right)}{\left(a d -b c \right)^{4} c^{3}}+\frac{4 a b \,d^{3} \ln \left(d x +c \right)}{\left(a d -b c \right)^{4} c^{2}}+\frac{4 b^{3} d \ln \left(b x +a \right)}{\left(a d -b c \right)^{4} a}-\frac{b^{4} c \ln \left(b x +a \right)}{\left(a d -b c \right)^{4} a^{2}}-\frac{6 b^{2} d^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{4} c}+\frac{a \,d^{3}}{\left(a d -b c \right)^{3} \left(d x +c \right) c^{2}}-\frac{b^{3}}{\left(a d -b c \right)^{3} \left(b x +a \right) a}-\frac{3 b \,d^{2}}{\left(a d -b c \right)^{3} \left(d x +c \right) c}+\frac{d^{2}}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} c}+\frac{\ln \left(x \right)}{a^{2} c^{3}}"," ",0,"ln(x)/a^2/c^3+1/2*d^2/c/(a*d-b*c)^2/(d*x+c)^2+d^3/c^2/(a*d-b*c)^3/(d*x+c)*a-3*d^2/c/(a*d-b*c)^3/(d*x+c)*b-d^4/c^3/(a*d-b*c)^4*ln(d*x+c)*a^2+4*d^3/c^2/(a*d-b*c)^4*ln(d*x+c)*a*b-6*d^2/c/(a*d-b*c)^4*ln(d*x+c)*b^2-1/a*b^3/(a*d-b*c)^3/(b*x+a)+4*b^3/a/(a*d-b*c)^4*ln(b*x+a)*d-b^4/a^2/(a*d-b*c)^4*ln(b*x+a)*c","A"
299,1,266,193,0.017000," ","int(1/x^2/(b*x+a)^2/(d*x+c)^3,x)","\frac{3 a^{2} d^{5} \ln \left(d x +c \right)}{\left(a d -b c \right)^{4} c^{4}}-\frac{10 a b \,d^{4} \ln \left(d x +c \right)}{\left(a d -b c \right)^{4} c^{3}}-\frac{5 b^{4} d \ln \left(b x +a \right)}{\left(a d -b c \right)^{4} a^{2}}+\frac{2 b^{5} c \ln \left(b x +a \right)}{\left(a d -b c \right)^{4} a^{3}}+\frac{10 b^{2} d^{3} \ln \left(d x +c \right)}{\left(a d -b c \right)^{4} c^{2}}-\frac{2 a \,d^{4}}{\left(a d -b c \right)^{3} \left(d x +c \right) c^{3}}+\frac{b^{4}}{\left(a d -b c \right)^{3} \left(b x +a \right) a^{2}}+\frac{4 b \,d^{3}}{\left(a d -b c \right)^{3} \left(d x +c \right) c^{2}}-\frac{d^{3}}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} c^{2}}-\frac{3 d \ln \left(x \right)}{a^{2} c^{4}}-\frac{2 b \ln \left(x \right)}{a^{3} c^{3}}-\frac{1}{a^{2} c^{3} x}"," ",0,"-1/a^2/c^3/x-3/a^2/c^4*ln(x)*d-2/a^3/c^3*ln(x)*b-1/2*d^3/c^2/(a*d-b*c)^2/(d*x+c)^2+3*d^5/c^4/(a*d-b*c)^4*ln(d*x+c)*a^2-10*d^4/c^3/(a*d-b*c)^4*ln(d*x+c)*a*b+10*d^3/c^2/(a*d-b*c)^4*ln(d*x+c)*b^2-2*d^4/c^3/(a*d-b*c)^3/(d*x+c)*a+4*d^3/c^2/(a*d-b*c)^3/(d*x+c)*b+b^4/a^2/(a*d-b*c)^3/(b*x+a)-5*b^4/a^2/(a*d-b*c)^4*ln(b*x+a)*d+2*b^5/a^3/(a*d-b*c)^4*ln(b*x+a)*c","A"
300,1,307,224,0.020000," ","int(1/x^3/(b*x+a)^2/(d*x+c)^3,x)","-\frac{6 a^{2} d^{6} \ln \left(d x +c \right)}{\left(a d -b c \right)^{4} c^{5}}+\frac{18 a b \,d^{5} \ln \left(d x +c \right)}{\left(a d -b c \right)^{4} c^{4}}+\frac{6 b^{5} d \ln \left(b x +a \right)}{\left(a d -b c \right)^{4} a^{3}}-\frac{3 b^{6} c \ln \left(b x +a \right)}{\left(a d -b c \right)^{4} a^{4}}-\frac{15 b^{2} d^{4} \ln \left(d x +c \right)}{\left(a d -b c \right)^{4} c^{3}}+\frac{3 a \,d^{5}}{\left(a d -b c \right)^{3} \left(d x +c \right) c^{4}}-\frac{b^{5}}{\left(a d -b c \right)^{3} \left(b x +a \right) a^{3}}-\frac{5 b \,d^{4}}{\left(a d -b c \right)^{3} \left(d x +c \right) c^{3}}+\frac{d^{4}}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} c^{3}}+\frac{6 d^{2} \ln \left(x \right)}{a^{2} c^{5}}+\frac{6 b d \ln \left(x \right)}{a^{3} c^{4}}+\frac{3 b^{2} \ln \left(x \right)}{a^{4} c^{3}}+\frac{3 d}{a^{2} c^{4} x}+\frac{2 b}{a^{3} c^{3} x}-\frac{1}{2 a^{2} c^{3} x^{2}}"," ",0,"-1/2/a^2/c^3/x^2+3/a^2/c^4/x*d+2/a^3/c^3/x*b+6/a^2/c^5*ln(x)*d^2+6/a^3/c^4*ln(x)*b*d+3/a^4/c^3*ln(x)*b^2+1/2*d^4/c^3/(a*d-b*c)^2/(d*x+c)^2+3*d^5/c^4/(a*d-b*c)^3/(d*x+c)*a-5*d^4/c^3/(a*d-b*c)^3/(d*x+c)*b-6*d^6/c^5/(a*d-b*c)^4*ln(d*x+c)*a^2+18*d^5/c^4/(a*d-b*c)^4*ln(d*x+c)*a*b-15*d^4/c^3/(a*d-b*c)^4*ln(d*x+c)*b^2-1/a^3*b^5/(a*d-b*c)^3/(b*x+a)+6*b^5/a^3/(a*d-b*c)^4*ln(b*x+a)*d-3*b^6/a^4/(a*d-b*c)^4*ln(b*x+a)*c","A"
301,1,335,190,0.013000," ","int(x^3*(d*x+c)^3/(b*x+a)^3,x)","\frac{d^{3} x^{4}}{4 b^{3}}-\frac{a \,d^{3} x^{3}}{b^{4}}+\frac{c \,d^{2} x^{3}}{b^{3}}-\frac{a^{6} d^{3}}{2 \left(b x +a \right)^{2} b^{7}}+\frac{3 a^{5} c \,d^{2}}{2 \left(b x +a \right)^{2} b^{6}}-\frac{3 a^{4} c^{2} d}{2 \left(b x +a \right)^{2} b^{5}}+\frac{a^{3} c^{3}}{2 \left(b x +a \right)^{2} b^{4}}+\frac{3 a^{2} d^{3} x^{2}}{b^{5}}-\frac{9 a c \,d^{2} x^{2}}{2 b^{4}}+\frac{3 c^{2} d \,x^{2}}{2 b^{3}}+\frac{6 a^{5} d^{3}}{\left(b x +a \right) b^{7}}-\frac{15 a^{4} c \,d^{2}}{\left(b x +a \right) b^{6}}+\frac{15 a^{4} d^{3} \ln \left(b x +a \right)}{b^{7}}+\frac{12 a^{3} c^{2} d}{\left(b x +a \right) b^{5}}-\frac{30 a^{3} c \,d^{2} \ln \left(b x +a \right)}{b^{6}}-\frac{10 a^{3} d^{3} x}{b^{6}}-\frac{3 a^{2} c^{3}}{\left(b x +a \right) b^{4}}+\frac{18 a^{2} c^{2} d \ln \left(b x +a \right)}{b^{5}}+\frac{18 a^{2} c \,d^{2} x}{b^{5}}-\frac{3 a \,c^{3} \ln \left(b x +a \right)}{b^{4}}-\frac{9 a \,c^{2} d x}{b^{4}}+\frac{c^{3} x}{b^{3}}"," ",0,"1/4*d^3*x^4/b^3-1/b^4*x^3*a*d^3+1/b^3*x^3*c*d^2+3/b^5*x^2*a^2*d^3-9/2/b^4*x^2*a*c*d^2+3/2/b^3*x^2*c^2*d-10/b^6*x*a^3*d^3+18/b^5*x*a^2*c*d^2-9/b^4*x*a*c^2*d+1/b^3*x*c^3-1/2*a^6/b^7/(b*x+a)^2*d^3+3/2*a^5/b^6/(b*x+a)^2*c*d^2-3/2*a^4/b^5/(b*x+a)^2*c^2*d+1/2*a^3/b^4/(b*x+a)^2*c^3+15*a^4/b^7*ln(b*x+a)*d^3-30*a^3/b^6*ln(b*x+a)*c*d^2+18*a^2/b^5*ln(b*x+a)*c^2*d-3*a/b^4*ln(b*x+a)*c^3+6*a^5/b^7/(b*x+a)*d^3-15*a^4/b^6/(b*x+a)*c*d^2+12*a^3/b^5/(b*x+a)*c^2*d-3*a^2/b^4/(b*x+a)*c^3","A"
302,1,280,150,0.010000," ","int(x^2*(d*x+c)^3/(b*x+a)^3,x)","\frac{d^{3} x^{3}}{3 b^{3}}+\frac{a^{5} d^{3}}{2 \left(b x +a \right)^{2} b^{6}}-\frac{3 a^{4} c \,d^{2}}{2 \left(b x +a \right)^{2} b^{5}}+\frac{3 a^{3} c^{2} d}{2 \left(b x +a \right)^{2} b^{4}}-\frac{a^{2} c^{3}}{2 \left(b x +a \right)^{2} b^{3}}-\frac{3 a \,d^{3} x^{2}}{2 b^{4}}+\frac{3 c \,d^{2} x^{2}}{2 b^{3}}-\frac{5 a^{4} d^{3}}{\left(b x +a \right) b^{6}}+\frac{12 a^{3} c \,d^{2}}{\left(b x +a \right) b^{5}}-\frac{10 a^{3} d^{3} \ln \left(b x +a \right)}{b^{6}}-\frac{9 a^{2} c^{2} d}{\left(b x +a \right) b^{4}}+\frac{18 a^{2} c \,d^{2} \ln \left(b x +a \right)}{b^{5}}+\frac{6 a^{2} d^{3} x}{b^{5}}+\frac{2 a \,c^{3}}{\left(b x +a \right) b^{3}}-\frac{9 a \,c^{2} d \ln \left(b x +a \right)}{b^{4}}-\frac{9 a c \,d^{2} x}{b^{4}}+\frac{c^{3} \ln \left(b x +a \right)}{b^{3}}+\frac{3 c^{2} d x}{b^{3}}"," ",0,"1/3*d^3*x^3/b^3-3/2*d^3/b^4*x^2*a+3/2*d^2/b^3*x^2*c+6*d^3/b^5*x*a^2-9*d^2/b^4*x*a*c+3*d/b^3*x*c^2+1/2*a^5/b^6/(b*x+a)^2*d^3-3/2*a^4/b^5/(b*x+a)^2*c*d^2+3/2*a^3/b^4/(b*x+a)^2*c^2*d-1/2*a^2/b^3/(b*x+a)^2*c^3-10/b^6*ln(b*x+a)*a^3*d^3+18/b^5*ln(b*x+a)*a^2*c*d^2-9/b^4*ln(b*x+a)*a*c^2*d+1/b^3*ln(b*x+a)*c^3-5*a^4/b^6/(b*x+a)*d^3+12*a^3/b^5/(b*x+a)*c*d^2-9*a^2/b^4/(b*x+a)*c^2*d+2*a/b^3/(b*x+a)*c^3","A"
303,1,222,110,0.010000," ","int(x*(d*x+c)^3/(b*x+a)^3,x)","-\frac{a^{4} d^{3}}{2 \left(b x +a \right)^{2} b^{5}}+\frac{3 a^{3} c \,d^{2}}{2 \left(b x +a \right)^{2} b^{4}}-\frac{3 a^{2} c^{2} d}{2 \left(b x +a \right)^{2} b^{3}}+\frac{a \,c^{3}}{2 \left(b x +a \right)^{2} b^{2}}+\frac{d^{3} x^{2}}{2 b^{3}}+\frac{4 a^{3} d^{3}}{\left(b x +a \right) b^{5}}-\frac{9 a^{2} c \,d^{2}}{\left(b x +a \right) b^{4}}+\frac{6 a^{2} d^{3} \ln \left(b x +a \right)}{b^{5}}+\frac{6 a \,c^{2} d}{\left(b x +a \right) b^{3}}-\frac{9 a c \,d^{2} \ln \left(b x +a \right)}{b^{4}}-\frac{3 a \,d^{3} x}{b^{4}}-\frac{c^{3}}{\left(b x +a \right) b^{2}}+\frac{3 c^{2} d \ln \left(b x +a \right)}{b^{3}}+\frac{3 c \,d^{2} x}{b^{3}}"," ",0,"1/2*d^3*x^2/b^3-3*d^3/b^4*x*a+3*d^2/b^3*x*c-1/2*a^4/b^5/(b*x+a)^2*d^3+3/2*a^3/b^4/(b*x+a)^2*c*d^2-3/2*a^2/b^3/(b*x+a)^2*c^2*d+1/2*a/b^2/(b*x+a)^2*c^3+6/b^5*d^3*ln(b*x+a)*a^2-9/b^4*d^2*ln(b*x+a)*a*c+3/b^3*d*ln(b*x+a)*c^2+4/b^5/(b*x+a)*a^3*d^3-9/b^4/(b*x+a)*a^2*c*d^2+6/b^3/(b*x+a)*a*c^2*d-1/b^2/(b*x+a)*c^3","B"
304,1,160,76,0.007000," ","int((d*x+c)^3/(b*x+a)^3,x)","\frac{a^{3} d^{3}}{2 \left(b x +a \right)^{2} b^{4}}-\frac{3 a^{2} c \,d^{2}}{2 \left(b x +a \right)^{2} b^{3}}+\frac{3 a \,c^{2} d}{2 \left(b x +a \right)^{2} b^{2}}-\frac{c^{3}}{2 \left(b x +a \right)^{2} b}-\frac{3 a^{2} d^{3}}{\left(b x +a \right) b^{4}}+\frac{6 a c \,d^{2}}{\left(b x +a \right) b^{3}}-\frac{3 a \,d^{3} \ln \left(b x +a \right)}{b^{4}}-\frac{3 c^{2} d}{\left(b x +a \right) b^{2}}+\frac{3 c \,d^{2} \ln \left(b x +a \right)}{b^{3}}+\frac{d^{3} x}{b^{3}}"," ",0,"1/b^3*d^3*x+1/2/b^4/(b*x+a)^2*a^3*d^3-3/2/b^3/(b*x+a)^2*a^2*c*d^2+3/2/b^2/(b*x+a)^2*a*c^2*d-1/2/b/(b*x+a)^2*c^3-3/b^4*d^3*ln(b*x+a)*a+3/b^3*d^2*ln(b*x+a)*c-3/b^4*d^3/(b*x+a)*a^2+6/b^3*d^2/(b*x+a)*a*c-3/b^2*d/(b*x+a)*c^2","B"
305,1,150,91,0.010000," ","int((d*x+c)^3/x/(b*x+a)^3,x)","-\frac{a^{2} d^{3}}{2 \left(b x +a \right)^{2} b^{3}}+\frac{3 a c \,d^{2}}{2 \left(b x +a \right)^{2} b^{2}}+\frac{c^{3}}{2 \left(b x +a \right)^{2} a}-\frac{3 c^{2} d}{2 \left(b x +a \right)^{2} b}+\frac{2 a \,d^{3}}{\left(b x +a \right) b^{3}}+\frac{c^{3}}{\left(b x +a \right) a^{2}}+\frac{c^{3} \ln \left(x \right)}{a^{3}}-\frac{c^{3} \ln \left(b x +a \right)}{a^{3}}-\frac{3 c \,d^{2}}{\left(b x +a \right) b^{2}}+\frac{d^{3} \ln \left(b x +a \right)}{b^{3}}"," ",0,"c^3*ln(x)/a^3+1/b^3*ln(b*x+a)*d^3-1/a^3*ln(b*x+a)*c^3+2/b^3*a/(b*x+a)*d^3-3/b^2/(b*x+a)*c*d^2+1/a^2/(b*x+a)*c^3-1/2/b^3*a^2/(b*x+a)^2*d^3+3/2/b^2*a/(b*x+a)^2*c*d^2-3/2/b/(b*x+a)^2*c^2*d+1/2/a/(b*x+a)^2*c^3","A"
306,1,176,110,0.011000," ","int((d*x+c)^3/x^2/(b*x+a)^3,x)","\frac{a \,d^{3}}{2 \left(b x +a \right)^{2} b^{2}}+\frac{3 c^{2} d}{2 \left(b x +a \right)^{2} a}-\frac{b \,c^{3}}{2 \left(b x +a \right)^{2} a^{2}}-\frac{3 c \,d^{2}}{2 \left(b x +a \right)^{2} b}+\frac{3 c^{2} d}{\left(b x +a \right) a^{2}}-\frac{2 b \,c^{3}}{\left(b x +a \right) a^{3}}+\frac{3 c^{2} d \ln \left(x \right)}{a^{3}}-\frac{3 c^{2} d \ln \left(b x +a \right)}{a^{3}}-\frac{3 b \,c^{3} \ln \left(x \right)}{a^{4}}+\frac{3 b \,c^{3} \ln \left(b x +a \right)}{a^{4}}-\frac{d^{3}}{\left(b x +a \right) b^{2}}-\frac{c^{3}}{a^{3} x}"," ",0,"-c^3/a^3/x+3*c^2/a^3*ln(x)*d-3*c^3/a^4*ln(x)*b-1/b^2/(b*x+a)*d^3+3/a^2/(b*x+a)*c^2*d-2/a^3*b/(b*x+a)*c^3+1/2/b^2*a/(b*x+a)^2*d^3-3/2/b/(b*x+a)^2*c*d^2+3/2/a/(b*x+a)^2*c^2*d-1/2*b/a^2/(b*x+a)^2*c^3-3*c^2/a^3*ln(b*x+a)*d+3*c^3/a^4*ln(b*x+a)*b","A"
307,1,238,133,0.013000," ","int((d*x+c)^3/x^3/(b*x+a)^3,x)","\frac{3 c \,d^{2}}{2 \left(b x +a \right)^{2} a}-\frac{3 b \,c^{2} d}{2 \left(b x +a \right)^{2} a^{2}}+\frac{b^{2} c^{3}}{2 \left(b x +a \right)^{2} a^{3}}-\frac{d^{3}}{2 \left(b x +a \right)^{2} b}+\frac{3 c \,d^{2}}{\left(b x +a \right) a^{2}}-\frac{6 b \,c^{2} d}{\left(b x +a \right) a^{3}}+\frac{3 c \,d^{2} \ln \left(x \right)}{a^{3}}-\frac{3 c \,d^{2} \ln \left(b x +a \right)}{a^{3}}+\frac{3 b^{2} c^{3}}{\left(b x +a \right) a^{4}}-\frac{9 b \,c^{2} d \ln \left(x \right)}{a^{4}}+\frac{9 b \,c^{2} d \ln \left(b x +a \right)}{a^{4}}+\frac{6 b^{2} c^{3} \ln \left(x \right)}{a^{5}}-\frac{6 b^{2} c^{3} \ln \left(b x +a \right)}{a^{5}}-\frac{3 c^{2} d}{a^{3} x}+\frac{3 b \,c^{3}}{a^{4} x}-\frac{c^{3}}{2 a^{3} x^{2}}"," ",0,"-1/2*c^3/a^3/x^2+3*c/a^3*ln(x)*d^2-9*c^2/a^4*ln(x)*b*d+6*c^3/a^5*ln(x)*b^2-3*c^2/a^3/x*d+3*c^3/a^4/x*b-1/2/b/(b*x+a)^2*d^3+3/2/a/(b*x+a)^2*c*d^2-3/2/a^2*b/(b*x+a)^2*c^2*d+1/2/a^3*b^2/(b*x+a)^2*c^3-3*c/a^3*ln(b*x+a)*d^2+9*c^2/a^4*ln(b*x+a)*b*d-6*c^3/a^5*ln(b*x+a)*b^2+3*c/a^2/(b*x+a)*d^2-6*c^2/a^3/(b*x+a)*b*d+3*c^3/a^4/(b*x+a)*b^2","A"
308,1,326,187,0.014000," ","int((d*x+c)^3/x^4/(b*x+a)^3,x)","\frac{d^{3}}{2 \left(b x +a \right)^{2} a}-\frac{3 b c \,d^{2}}{2 \left(b x +a \right)^{2} a^{2}}+\frac{3 b^{2} c^{2} d}{2 \left(b x +a \right)^{2} a^{3}}-\frac{b^{3} c^{3}}{2 \left(b x +a \right)^{2} a^{4}}+\frac{d^{3}}{\left(b x +a \right) a^{2}}-\frac{6 b c \,d^{2}}{\left(b x +a \right) a^{3}}+\frac{d^{3} \ln \left(x \right)}{a^{3}}-\frac{d^{3} \ln \left(b x +a \right)}{a^{3}}+\frac{9 b^{2} c^{2} d}{\left(b x +a \right) a^{4}}-\frac{9 b c \,d^{2} \ln \left(x \right)}{a^{4}}+\frac{9 b c \,d^{2} \ln \left(b x +a \right)}{a^{4}}-\frac{4 b^{3} c^{3}}{\left(b x +a \right) a^{5}}+\frac{18 b^{2} c^{2} d \ln \left(x \right)}{a^{5}}-\frac{18 b^{2} c^{2} d \ln \left(b x +a \right)}{a^{5}}-\frac{10 b^{3} c^{3} \ln \left(x \right)}{a^{6}}+\frac{10 b^{3} c^{3} \ln \left(b x +a \right)}{a^{6}}-\frac{3 c \,d^{2}}{a^{3} x}+\frac{9 b \,c^{2} d}{a^{4} x}-\frac{6 b^{2} c^{3}}{a^{5} x}-\frac{3 c^{2} d}{2 a^{3} x^{2}}+\frac{3 b \,c^{3}}{2 a^{4} x^{2}}-\frac{c^{3}}{3 a^{3} x^{3}}"," ",0,"-1/3*c^3/a^3/x^3+1/a^3*ln(x)*d^3-9/a^4*ln(x)*b*c*d^2+18/a^5*ln(x)*b^2*c^2*d-10/a^6*ln(x)*b^3*c^3-3*c/a^3/x*d^2+9*c^2/a^4/x*b*d-6*c^3/a^5/x*b^2-3/2*c^2/a^3/x^2*d+3/2*c^3/a^4/x^2*b-1/a^3*ln(b*x+a)*d^3+9/a^4*ln(b*x+a)*b*c*d^2-18/a^5*ln(b*x+a)*b^2*c^2*d+10/a^6*ln(b*x+a)*b^3*c^3+1/a^2/(b*x+a)*d^3-6/a^3/(b*x+a)*b*c*d^2+9/a^4/(b*x+a)*b^2*c^2*d-4/a^5/(b*x+a)*b^3*c^3+1/2/a/(b*x+a)^2*d^3-3/2/a^2/(b*x+a)^2*b*c*d^2+3/2/a^3/(b*x+a)^2*b^2*c^2*d-1/2/a^4/(b*x+a)^2*b^3*c^3","A"
309,1,347,239,0.019000," ","int(x^7/(b*x+a)^3/(d*x+c)^3,x)","\frac{6 a^{7} d^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{5} b^{5}}-\frac{21 a^{6} c d \ln \left(b x +a \right)}{\left(a d -b c \right)^{5} b^{4}}+\frac{21 a^{5} c^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{5} b^{3}}-\frac{21 a^{2} c^{5} \ln \left(d x +c \right)}{\left(a d -b c \right)^{5} d^{3}}+\frac{21 a b \,c^{6} \ln \left(d x +c \right)}{\left(a d -b c \right)^{5} d^{4}}-\frac{6 b^{2} c^{7} \ln \left(d x +c \right)}{\left(a d -b c \right)^{5} d^{5}}+\frac{4 a^{7} d}{\left(a d -b c \right)^{4} \left(b x +a \right) b^{5}}-\frac{7 a^{6} c}{\left(a d -b c \right)^{4} \left(b x +a \right) b^{4}}-\frac{7 a \,c^{6}}{\left(a d -b c \right)^{4} \left(d x +c \right) d^{4}}+\frac{4 b \,c^{7}}{\left(a d -b c \right)^{4} \left(d x +c \right) d^{5}}-\frac{a^{7}}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} b^{5}}+\frac{c^{7}}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} d^{5}}+\frac{x^{2}}{2 b^{3} d^{3}}-\frac{3 a x}{b^{4} d^{3}}-\frac{3 c x}{b^{3} d^{4}}"," ",0,"1/2*x^2/b^3/d^3-3/b^4/d^3*x*a-3/b^3/d^4*x*c-7/d^4*c^6/(a*d-b*c)^4/(d*x+c)*a+4/d^5*c^7/(a*d-b*c)^4/(d*x+c)*b+1/2/d^5*c^7/(a*d-b*c)^3/(d*x+c)^2-21/d^3*c^5/(a*d-b*c)^5*ln(d*x+c)*a^2+21/d^4*c^6/(a*d-b*c)^5*ln(d*x+c)*a*b-6/d^5*c^7/(a*d-b*c)^5*ln(d*x+c)*b^2-1/2/b^5*a^7/(a*d-b*c)^3/(b*x+a)^2+6/b^5*a^7/(a*d-b*c)^5*ln(b*x+a)*d^2-21/b^4*a^6/(a*d-b*c)^5*ln(b*x+a)*c*d+21/b^3*a^5/(a*d-b*c)^5*ln(b*x+a)*c^2+4/b^5*a^7/(a*d-b*c)^4/(b*x+a)*d-7/b^4*a^6/(a*d-b*c)^4/(b*x+a)*c","A"
310,1,324,218,0.019000," ","int(x^6/(b*x+a)^3/(d*x+c)^3,x)","-\frac{3 a^{6} d^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{5} b^{4}}+\frac{12 a^{5} c d \ln \left(b x +a \right)}{\left(a d -b c \right)^{5} b^{3}}-\frac{15 a^{4} c^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{5} b^{2}}+\frac{15 a^{2} c^{4} \ln \left(d x +c \right)}{\left(a d -b c \right)^{5} d^{2}}-\frac{12 a b \,c^{5} \ln \left(d x +c \right)}{\left(a d -b c \right)^{5} d^{3}}+\frac{3 b^{2} c^{6} \ln \left(d x +c \right)}{\left(a d -b c \right)^{5} d^{4}}-\frac{3 a^{6} d}{\left(a d -b c \right)^{4} \left(b x +a \right) b^{4}}+\frac{6 a^{5} c}{\left(a d -b c \right)^{4} \left(b x +a \right) b^{3}}+\frac{6 a \,c^{5}}{\left(a d -b c \right)^{4} \left(d x +c \right) d^{3}}-\frac{3 b \,c^{6}}{\left(a d -b c \right)^{4} \left(d x +c \right) d^{4}}+\frac{a^{6}}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} b^{4}}-\frac{c^{6}}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} d^{4}}+\frac{x}{b^{3} d^{3}}"," ",0,"x/b^3/d^3-1/2/d^4*c^6/(a*d-b*c)^3/(d*x+c)^2+15/d^2*c^4/(a*d-b*c)^5*ln(d*x+c)*a^2-12/d^3*c^5/(a*d-b*c)^5*ln(d*x+c)*a*b+3/d^4*c^6/(a*d-b*c)^5*ln(d*x+c)*b^2+6/d^3*c^5/(a*d-b*c)^4/(d*x+c)*a-3/d^4*c^6/(a*d-b*c)^4/(d*x+c)*b+1/2/b^4*a^6/(a*d-b*c)^3/(b*x+a)^2-3/b^4*a^6/(a*d-b*c)^5*ln(b*x+a)*d^2+12/b^3*a^5/(a*d-b*c)^5*ln(b*x+a)*c*d-15/b^2*a^4/(a*d-b*c)^5*ln(b*x+a)*c^2-3/b^4*a^6/(a*d-b*c)^4/(b*x+a)*d+6/b^3*a^5/(a*d-b*c)^4/(b*x+a)*c","A"
311,1,315,209,0.013000," ","int(x^5/(b*x+a)^3/(d*x+c)^3,x)","\frac{a^{5} d^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{5} b^{3}}-\frac{5 a^{4} c d \ln \left(b x +a \right)}{\left(a d -b c \right)^{5} b^{2}}+\frac{10 a^{3} c^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{5} b}-\frac{10 a^{2} c^{3} \ln \left(d x +c \right)}{\left(a d -b c \right)^{5} d}+\frac{5 a b \,c^{4} \ln \left(d x +c \right)}{\left(a d -b c \right)^{5} d^{2}}-\frac{b^{2} c^{5} \ln \left(d x +c \right)}{\left(a d -b c \right)^{5} d^{3}}+\frac{2 a^{5} d}{\left(a d -b c \right)^{4} \left(b x +a \right) b^{3}}-\frac{5 a^{4} c}{\left(a d -b c \right)^{4} \left(b x +a \right) b^{2}}-\frac{5 a \,c^{4}}{\left(a d -b c \right)^{4} \left(d x +c \right) d^{2}}+\frac{2 b \,c^{5}}{\left(a d -b c \right)^{4} \left(d x +c \right) d^{3}}-\frac{a^{5}}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} b^{3}}+\frac{c^{5}}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} d^{3}}"," ",0,"-5*c^4/d^2/(a*d-b*c)^4/(d*x+c)*a+2*c^5/d^3/(a*d-b*c)^4/(d*x+c)*b+1/2*c^5/d^3/(a*d-b*c)^3/(d*x+c)^2-10*c^3/(a*d-b*c)^5/d*ln(d*x+c)*a^2+5*c^4/(a*d-b*c)^5/d^2*ln(d*x+c)*a*b-c^5/(a*d-b*c)^5/d^3*ln(d*x+c)*b^2-1/2*a^5/b^3/(a*d-b*c)^3/(b*x+a)^2+a^5/(a*d-b*c)^5/b^3*ln(b*x+a)*d^2-5*a^4/(a*d-b*c)^5/b^2*ln(b*x+a)*c*d+10*a^3/(a*d-b*c)^5/b*ln(b*x+a)*c^2+2*a^5/b^3/(a*d-b*c)^4/(b*x+a)*d-5*a^4/b^2/(a*d-b*c)^4/(b*x+a)*c","A"
312,1,204,165,0.014000," ","int(x^4/(b*x+a)^3/(d*x+c)^3,x)","-\frac{6 a^{2} c^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{5}}+\frac{6 a^{2} c^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{5}}-\frac{a^{4} d}{\left(a d -b c \right)^{4} \left(b x +a \right) b^{2}}+\frac{4 a^{3} c}{\left(a d -b c \right)^{4} \left(b x +a \right) b}+\frac{4 a \,c^{3}}{\left(a d -b c \right)^{4} \left(d x +c \right) d}-\frac{b \,c^{4}}{\left(a d -b c \right)^{4} \left(d x +c \right) d^{2}}+\frac{a^{4}}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} b^{2}}-\frac{c^{4}}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} d^{2}}"," ",0,"-1/2*c^4/d^2/(a*d-b*c)^3/(d*x+c)^2+6*c^2*a^2/(a*d-b*c)^5*ln(d*x+c)+4*c^3/(a*d-b*c)^4/d/(d*x+c)*a-c^4/(a*d-b*c)^4/d^2/(d*x+c)*b-a^4/(a*d-b*c)^4/b^2/(b*x+a)*d+4*a^3/(a*d-b*c)^4/b/(b*x+a)*c+1/2*a^4/b^2/(a*d-b*c)^3/(b*x+a)^2-6*c^2*a^2/(a*d-b*c)^5*ln(b*x+a)","A"
313,1,190,151,0.016000," ","int(x^3/(b*x+a)^3/(d*x+c)^3,x)","\frac{3 a^{2} c d \ln \left(b x +a \right)}{\left(a d -b c \right)^{5}}-\frac{3 a^{2} c d \ln \left(d x +c \right)}{\left(a d -b c \right)^{5}}+\frac{3 a b \,c^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{5}}-\frac{3 a b \,c^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{5}}-\frac{3 a^{2} c}{\left(a d -b c \right)^{4} \left(b x +a \right)}-\frac{3 a \,c^{2}}{\left(a d -b c \right)^{4} \left(d x +c \right)}-\frac{a^{3}}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} b}+\frac{c^{3}}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} d}"," ",0,"1/2*c^3/(a*d-b*c)^3/d/(d*x+c)^2-3*c^2*a/(a*d-b*c)^4/(d*x+c)-3*c*a^2/(a*d-b*c)^5*ln(d*x+c)*d-3*c^2*a/(a*d-b*c)^5*ln(d*x+c)*b-1/2*a^3/(a*d-b*c)^3/b/(b*x+a)^2-3*a^2*c/(a*d-b*c)^4/(b*x+a)+3*c*a^2/(a*d-b*c)^5*ln(b*x+a)*d+3*c^2*a/(a*d-b*c)^5*ln(b*x+a)*b","A"
314,1,272,176,0.015000," ","int(x^2/(b*x+a)^3/(d*x+c)^3,x)","-\frac{a^{2} d^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{5}}+\frac{a^{2} d^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{5}}-\frac{4 a b c d \ln \left(b x +a \right)}{\left(a d -b c \right)^{5}}+\frac{4 a b c d \ln \left(d x +c \right)}{\left(a d -b c \right)^{5}}-\frac{b^{2} c^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{5}}+\frac{b^{2} c^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{5}}+\frac{a^{2} d}{\left(a d -b c \right)^{4} \left(b x +a \right)}+\frac{2 a b c}{\left(a d -b c \right)^{4} \left(b x +a \right)}+\frac{2 a c d}{\left(a d -b c \right)^{4} \left(d x +c \right)}+\frac{b \,c^{2}}{\left(a d -b c \right)^{4} \left(d x +c \right)}+\frac{a^{2}}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2}}-\frac{c^{2}}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2}}"," ",0,"-1/2*c^2/(a*d-b*c)^3/(d*x+c)^2+1/(a*d-b*c)^5*ln(d*x+c)*a^2*d^2+4/(a*d-b*c)^5*ln(d*x+c)*a*b*c*d+1/(a*d-b*c)^5*ln(d*x+c)*b^2*c^2+2*c/(a*d-b*c)^4/(d*x+c)*a*d+c^2/(a*d-b*c)^4/(d*x+c)*b+1/2*a^2/(a*d-b*c)^3/(b*x+a)^2-1/(a*d-b*c)^5*ln(b*x+a)*a^2*d^2-4/(a*d-b*c)^5*ln(b*x+a)*a*b*c*d-1/(a*d-b*c)^5*ln(b*x+a)*b^2*c^2+a^2/(a*d-b*c)^4/(b*x+a)*d+2*a/(a*d-b*c)^4/(b*x+a)*b*c","A"
315,1,226,153,0.014000," ","int(x/(b*x+a)^3/(d*x+c)^3,x)","\frac{3 a b \,d^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{5}}-\frac{3 a b \,d^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{5}}+\frac{3 b^{2} c d \ln \left(b x +a \right)}{\left(a d -b c \right)^{5}}-\frac{3 b^{2} c d \ln \left(d x +c \right)}{\left(a d -b c \right)^{5}}-\frac{2 a b d}{\left(a d -b c \right)^{4} \left(b x +a \right)}-\frac{a \,d^{2}}{\left(a d -b c \right)^{4} \left(d x +c \right)}-\frac{b^{2} c}{\left(a d -b c \right)^{4} \left(b x +a \right)}-\frac{2 b c d}{\left(a d -b c \right)^{4} \left(d x +c \right)}-\frac{a b}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2}}+\frac{c d}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2}}"," ",0,"-d^2/(a*d-b*c)^4/(d*x+c)*a-2*d/(a*d-b*c)^4/(d*x+c)*b*c+1/2*c*d/(a*d-b*c)^3/(d*x+c)^2-3*d^2*b/(a*d-b*c)^5*ln(d*x+c)*a-3*d*b^2/(a*d-b*c)^5*ln(d*x+c)*c-1/2*a*b/(a*d-b*c)^3/(b*x+a)^2-2*b/(a*d-b*c)^4/(b*x+a)*a*d-b^2/(a*d-b*c)^4/(b*x+a)*c+3*d^2*b/(a*d-b*c)^5*ln(b*x+a)*a+3*d*b^2/(a*d-b*c)^5*ln(b*x+a)*c","A"
316,1,140,139,0.013000," ","int(1/(b*x+a)^3/(d*x+c)^3,x)","-\frac{6 b^{2} d^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{5}}+\frac{6 b^{2} d^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{5}}+\frac{3 b^{2} d}{\left(a d -b c \right)^{4} \left(b x +a \right)}+\frac{3 b \,d^{2}}{\left(a d -b c \right)^{4} \left(d x +c \right)}+\frac{b^{2}}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2}}-\frac{d^{2}}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2}}"," ",0,"-1/2*d^2/(a*d-b*c)^3/(d*x+c)^2+6*d^2/(a*d-b*c)^5*b^2*ln(d*x+c)+3*d^2/(a*d-b*c)^4*b/(d*x+c)+1/2*b^2/(a*d-b*c)^3/(b*x+a)^2-6*d^2/(a*d-b*c)^5*b^2*ln(b*x+a)+3*b^2/(a*d-b*c)^4*d/(b*x+a)","A"
317,1,322,217,0.017000," ","int(1/x/(b*x+a)^3/(d*x+c)^3,x)","-\frac{a^{2} d^{5} \ln \left(d x +c \right)}{\left(a d -b c \right)^{5} c^{3}}+\frac{5 a b \,d^{4} \ln \left(d x +c \right)}{\left(a d -b c \right)^{5} c^{2}}+\frac{10 b^{3} d^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{5} a}-\frac{5 b^{4} c d \ln \left(b x +a \right)}{\left(a d -b c \right)^{5} a^{2}}+\frac{b^{5} c^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{5} a^{3}}-\frac{10 b^{2} d^{3} \ln \left(d x +c \right)}{\left(a d -b c \right)^{5} c}+\frac{a \,d^{4}}{\left(a d -b c \right)^{4} \left(d x +c \right) c^{2}}-\frac{4 b^{3} d}{\left(a d -b c \right)^{4} \left(b x +a \right) a}+\frac{b^{4} c}{\left(a d -b c \right)^{4} \left(b x +a \right) a^{2}}-\frac{4 b \,d^{3}}{\left(a d -b c \right)^{4} \left(d x +c \right) c}-\frac{b^{3}}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} a}+\frac{d^{3}}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} c}+\frac{\ln \left(x \right)}{a^{3} c^{3}}"," ",0,"ln(x)/a^3/c^3+1/2*d^3/c/(a*d-b*c)^3/(d*x+c)^2+d^4/c^2/(a*d-b*c)^4/(d*x+c)*a-4*d^3/c/(a*d-b*c)^4/(d*x+c)*b-d^5/c^3/(a*d-b*c)^5*ln(d*x+c)*a^2+5*d^4/c^2/(a*d-b*c)^5*ln(d*x+c)*a*b-10*d^3/c/(a*d-b*c)^5*ln(d*x+c)*b^2-1/2/a*b^3/(a*d-b*c)^3/(b*x+a)^2-4*b^3/a/(a*d-b*c)^4/(b*x+a)*d+b^4/a^2/(a*d-b*c)^4/(b*x+a)*c+10*b^3/a/(a*d-b*c)^5*ln(b*x+a)*d^2-5*b^4/a^2/(a*d-b*c)^5*ln(b*x+a)*c*d+b^5/a^3/(a*d-b*c)^5*ln(b*x+a)*c^2","A"
318,1,349,238,0.020000," ","int(1/x^2/(b*x+a)^3/(d*x+c)^3,x)","\frac{3 a^{2} d^{6} \ln \left(d x +c \right)}{\left(a d -b c \right)^{5} c^{4}}-\frac{12 a b \,d^{5} \ln \left(d x +c \right)}{\left(a d -b c \right)^{5} c^{3}}-\frac{15 b^{4} d^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{5} a^{2}}+\frac{12 b^{5} c d \ln \left(b x +a \right)}{\left(a d -b c \right)^{5} a^{3}}-\frac{3 b^{6} c^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{5} a^{4}}+\frac{15 b^{2} d^{4} \ln \left(d x +c \right)}{\left(a d -b c \right)^{5} c^{2}}-\frac{2 a \,d^{5}}{\left(a d -b c \right)^{4} \left(d x +c \right) c^{3}}+\frac{5 b^{4} d}{\left(a d -b c \right)^{4} \left(b x +a \right) a^{2}}-\frac{2 b^{5} c}{\left(a d -b c \right)^{4} \left(b x +a \right) a^{3}}+\frac{5 b \,d^{4}}{\left(a d -b c \right)^{4} \left(d x +c \right) c^{2}}+\frac{b^{4}}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} a^{2}}-\frac{d^{4}}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} c^{2}}-\frac{3 d \ln \left(x \right)}{a^{3} c^{4}}-\frac{3 b \ln \left(x \right)}{a^{4} c^{3}}-\frac{1}{a^{3} c^{3} x}"," ",0,"-1/a^3/c^3/x-3/a^3/c^4*ln(x)*d-3/a^4/c^3*ln(x)*b-1/2*d^4/c^2/(a*d-b*c)^3/(d*x+c)^2-2*d^5/c^3/(a*d-b*c)^4/(d*x+c)*a+5*d^4/c^2/(a*d-b*c)^4/(d*x+c)*b+3*d^6/c^4/(a*d-b*c)^5*ln(d*x+c)*a^2-12*d^5/c^3/(a*d-b*c)^5*ln(d*x+c)*a*b+15*d^4/c^2/(a*d-b*c)^5*ln(d*x+c)*b^2+1/2*b^4/a^2/(a*d-b*c)^3/(b*x+a)^2+5*b^4/a^2/(a*d-b*c)^4/(b*x+a)*d-2*b^5/a^3/(a*d-b*c)^4/(b*x+a)*c-15*b^4/a^2/(a*d-b*c)^5*ln(b*x+a)*d^2+12*b^5/a^3/(a*d-b*c)^5*ln(b*x+a)*c*d-3*b^6/a^4/(a*d-b*c)^5*ln(b*x+a)*c^2","A"
319,1,28,27,0.005000," ","int(x^(7/2)*(b*x+a)*(B*x+A),x)","\frac{2 \left(99 B b \,x^{2}+117 A b x +117 B a x +143 A a \right) x^{\frac{9}{2}}}{1287}"," ",0,"2/1287*x^(9/2)*(99*B*b*x^2+117*A*b*x+117*B*a*x+143*A*a)","A"
320,1,28,27,0.004000," ","int(x^(5/2)*(b*x+a)*(B*x+A),x)","\frac{2 \left(63 B b \,x^{2}+77 A b x +77 B a x +99 A a \right) x^{\frac{7}{2}}}{693}"," ",0,"2/693*x^(7/2)*(63*B*b*x^2+77*A*b*x+77*B*a*x+99*A*a)","A"
321,1,28,27,0.003000," ","int(x^(3/2)*(b*x+a)*(B*x+A),x)","\frac{2 \left(35 B b \,x^{2}+45 A b x +45 B a x +63 A a \right) x^{\frac{5}{2}}}{315}"," ",0,"2/315*x^(5/2)*(35*B*b*x^2+45*A*b*x+45*B*a*x+63*A*a)","A"
322,1,28,27,0.005000," ","int((b*x+a)*(B*x+A)*x^(1/2),x)","\frac{2 \left(15 B b \,x^{2}+21 A b x +21 B a x +35 A a \right) x^{\frac{3}{2}}}{105}"," ",0,"2/105*x^(3/2)*(15*B*b*x^2+21*A*b*x+21*B*a*x+35*A*a)","A"
323,1,28,27,0.005000," ","int((b*x+a)*(B*x+A)/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{x}}{15}"," ",0,"2/15*x^(1/2)*(3*B*b*x^2+5*A*b*x+5*B*a*x+15*A*a)","A"
324,1,28,27,0.003000," ","int((b*x+a)*(B*x+A)/x^(3/2),x)","-\frac{2 \left(-B b \,x^{2}-3 A b x -3 B a x +3 A a \right)}{3 \sqrt{x}}"," ",0,"-2/3*(-B*b*x^2-3*A*b*x-3*B*a*x+3*A*a)/x^(1/2)","A"
325,1,27,27,0.003000," ","int((b*x+a)*(B*x+A)/x^(5/2),x)","-\frac{2 \left(-3 B b \,x^{2}+3 A b x +3 B a x +A a \right)}{3 x^{\frac{3}{2}}}"," ",0,"-2/3*(-3*B*b*x^2+3*A*b*x+3*B*a*x+A*a)/x^(3/2)","A"
326,1,28,27,0.004000," ","int((b*x+a)*(B*x+A)/x^(7/2),x)","-\frac{2 \left(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*b*x^2+5*A*b*x+5*B*a*x+3*A*a)/x^(5/2)","A"
327,1,52,47,0.007000," ","int(x^(7/2)*(b*x+a)^2*(B*x+A),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^{2} A \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"
328,1,52,47,0.005000," ","int(x^(5/2)*(b*x+a)^2*(B*x+A),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^{2} A \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"
329,1,52,47,0.005000," ","int(x^(3/2)*(b*x+a)^2*(B*x+A),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^{2} A \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"
330,1,52,47,0.006000," ","int((b*x+a)^2*(B*x+A)*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^{2} A \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"
331,1,52,47,0.006000," ","int((b*x+a)^2*(B*x+A)/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^{2} A \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"
332,1,52,47,0.005000," ","int((b*x+a)^2*(B*x+A)/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^{2} A \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"
333,1,51,47,0.006000," ","int((b*x+a)^2*(B*x+A)/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^{2} A \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"
334,1,52,47,0.005000," ","int((b*x+a)^2*(B*x+A)/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^{2} A \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"
335,1,76,65,0.005000," ","int(x^(7/2)*(b*x+a)^3*(B*x+A),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^{3} A \right) x^{\frac{9}{2}}}{109395}"," ",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)","A"
336,1,76,65,0.007000," ","int(x^(5/2)*(b*x+a)^3*(B*x+A),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^{3} A \right) x^{\frac{7}{2}}}{45045}"," ",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)","A"
337,1,76,65,0.008000," ","int(x^(3/2)*(b*x+a)^3*(B*x+A),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^{3} A \right) x^{\frac{5}{2}}}{15015}"," ",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)","A"
338,1,76,65,0.006000," ","int((b*x+a)^3*(B*x+A)*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^{3} A \right) x^{\frac{3}{2}}}{3465}"," ",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)","A"
339,1,76,65,0.008000," ","int((b*x+a)^3*(B*x+A)/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^{3} A \right) \sqrt{x}}{315}"," ",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)","A"
340,1,76,65,0.005000," ","int((b*x+a)^3*(B*x+A)/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^{3} A \right)}{35 \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)/x^(1/2)","A"
341,1,76,65,0.007000," ","int((b*x+a)^3*(B*x+A)/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^{3} A \right)}{15 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)/x^(3/2)","A"
342,1,76,65,0.007000," ","int((b*x+a)^3*(B*x+A)/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^{3} A \right)}{15 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)/x^(5/2)","A"
343,1,33,32,0.012000," ","int((2-3*x)^3*x^(1/2)/(x+1)^2,x)","-\frac{54 x^{\frac{5}{2}}}{5}+72 x^{\frac{3}{2}}+575 \arctan \left(\sqrt{x}\right)-450 \sqrt{x}-\frac{125 \sqrt{x}}{x +1}"," ",0,"72*x^(3/2)-54/5*x^(5/2)+575*arctan(x^(1/2))-450*x^(1/2)-125*x^(1/2)/(x+1)","A"
344,1,150,108,0.011000," ","int(x^(7/2)*(B*x+A)/(b*x+a),x)","\frac{2 B \,x^{\frac{9}{2}}}{9 b}+\frac{2 A \,x^{\frac{7}{2}}}{7 b}-\frac{2 B a \,x^{\frac{7}{2}}}{7 b^{2}}-\frac{2 A a \,x^{\frac{5}{2}}}{5 b^{2}}+\frac{2 B \,a^{2} x^{\frac{5}{2}}}{5 b^{3}}+\frac{2 A \,a^{4} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{4}}-\frac{2 B \,a^{5} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{5}}+\frac{2 A \,a^{2} x^{\frac{3}{2}}}{3 b^{3}}-\frac{2 B \,a^{3} x^{\frac{3}{2}}}{3 b^{4}}-\frac{2 A \,a^{3} \sqrt{x}}{b^{4}}+\frac{2 B \,a^{4} \sqrt{x}}{b^{5}}"," ",0,"2/9*B*x^(9/2)/b+2/7/b*A*x^(7/2)-2/7/b^2*B*x^(7/2)*a-2/5/b^2*A*x^(5/2)*a+2/5/b^3*B*x^(5/2)*a^2+2/3/b^3*A*x^(3/2)*a^2-2/3/b^4*B*x^(3/2)*a^3-2/b^4*A*x^(1/2)*a^3+2/b^5*B*x^(1/2)*a^4+2*a^4/b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A-2*a^5/b^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B","A"
345,1,126,89,0.008000," ","int(x^(5/2)*(B*x+A)/(b*x+a),x)","\frac{2 B \,x^{\frac{7}{2}}}{7 b}+\frac{2 A \,x^{\frac{5}{2}}}{5 b}-\frac{2 B a \,x^{\frac{5}{2}}}{5 b^{2}}-\frac{2 A \,a^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{3}}+\frac{2 B \,a^{4} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{4}}-\frac{2 A a \,x^{\frac{3}{2}}}{3 b^{2}}+\frac{2 B \,a^{2} x^{\frac{3}{2}}}{3 b^{3}}+\frac{2 A \,a^{2} \sqrt{x}}{b^{3}}-\frac{2 B \,a^{3} \sqrt{x}}{b^{4}}"," ",0,"2/7*B*x^(7/2)/b+2/5/b*A*x^(5/2)-2/5/b^2*B*x^(5/2)*a-2/3/b^2*A*x^(3/2)*a+2/3/b^3*B*x^(3/2)*a^2+2/b^3*a^2*A*x^(1/2)-2/b^4*a^3*B*x^(1/2)-2*a^3/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A+2*a^4/b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B","A"
346,1,102,70,0.009000," ","int(x^(3/2)*(B*x+A)/(b*x+a),x)","\frac{2 B \,x^{\frac{5}{2}}}{5 b}+\frac{2 A \,a^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{2}}-\frac{2 B \,a^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{3}}+\frac{2 A \,x^{\frac{3}{2}}}{3 b}-\frac{2 B a \,x^{\frac{3}{2}}}{3 b^{2}}-\frac{2 A a \sqrt{x}}{b^{2}}+\frac{2 B \,a^{2} \sqrt{x}}{b^{3}}"," ",0,"2/5*B*x^(5/2)/b+2/3/b*A*x^(3/2)-2/3/b^2*B*x^(3/2)*a-2/b^2*a*A*x^(1/2)+2/b^3*a^2*B*x^(1/2)+2*a^2/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A-2*a^3/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B","A"
347,1,78,53,0.009000," ","int((B*x+A)*x^(1/2)/(b*x+a),x)","-\frac{2 A a \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b}+\frac{2 B \,a^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{2}}+\frac{2 B \,x^{\frac{3}{2}}}{3 b}+\frac{2 A \sqrt{x}}{b}-\frac{2 B a \sqrt{x}}{b^{2}}"," ",0,"2/3*B*x^(3/2)/b+2/b*A*x^(1/2)-2/b^2*B*a*x^(1/2)-2*a/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A+2*a^2/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B","A"
348,1,53,37,0.008000," ","int((B*x+A)/(b*x+a)/x^(1/2),x)","\frac{2 A \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}}-\frac{2 B a \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b}+\frac{2 B \sqrt{x}}{b}"," ",0,"2*B*x^(1/2)/b+2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A-2/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B*a","A"
349,1,53,37,0.011000," ","int((B*x+A)/x^(3/2)/(b*x+a),x)","-\frac{2 A b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a}+\frac{2 B \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}}-\frac{2 A}{a \sqrt{x}}"," ",0,"-2/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A*b+2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B-2*A/a/x^(1/2)","A"
350,1,78,53,0.011000," ","int((B*x+A)/x^(5/2)/(b*x+a),x)","\frac{2 A \,b^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{2}}-\frac{2 B b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, 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,"2*b^2/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A-2*b/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B-2/3*A/a/x^(3/2)+2/a^2/x^(1/2)*A*b-2/a/x^(1/2)*B","A"
351,1,102,70,0.013000," ","int((B*x+A)/x^(7/2)/(b*x+a),x)","-\frac{2 A \,b^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{3}}+\frac{2 B \,b^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{2}}-\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,"-2*b^3/a^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A+2*b^2/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B-2/5*A/a/x^(5/2)+2/3/a^2/x^(3/2)*A*b-2/3/a/x^(3/2)*B-2/a^3*b^2/x^(1/2)*A+2/a^2*b/x^(1/2)*B","A"
352,1,126,89,0.013000," ","int((B*x+A)/x^(9/2)/(b*x+a),x)","\frac{2 A \,b^{4} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{4}}-\frac{2 B \,b^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{3}}+\frac{2 A \,b^{3}}{a^{4} \sqrt{x}}-\frac{2 B \,b^{2}}{a^{3} \sqrt{x}}-\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,"2*b^4/a^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A-2*b^3/a^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B-2/7*A/a/x^(7/2)+2/5/a^2/x^(5/2)*A*b-2/5/a/x^(5/2)*B-2/3/a^3*b^2/x^(3/2)*A+2/3/a^2*b/x^(3/2)*B+2/a^4*b^3/x^(1/2)*A-2/a^3*b^2/x^(1/2)*B","A"
353,1,150,108,0.015000," ","int((B*x+A)/x^(11/2)/(b*x+a),x)","-\frac{2 A \,b^{5} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{5}}+\frac{2 B \,b^{4} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{4}}-\frac{2 A \,b^{4}}{a^{5} \sqrt{x}}+\frac{2 B \,b^{3}}{a^{4} \sqrt{x}}+\frac{2 A \,b^{3}}{3 a^{4} x^{\frac{3}{2}}}-\frac{2 B \,b^{2}}{3 a^{3} x^{\frac{3}{2}}}-\frac{2 A \,b^{2}}{5 a^{3} x^{\frac{5}{2}}}+\frac{2 B b}{5 a^{2} x^{\frac{5}{2}}}+\frac{2 A b}{7 a^{2} x^{\frac{7}{2}}}-\frac{2 B}{7 a \,x^{\frac{7}{2}}}-\frac{2 A}{9 a \,x^{\frac{9}{2}}}"," ",0,"-2*b^5/a^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A+2*b^4/a^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B-2/9*A/a/x^(9/2)+2/7/a^2/x^(7/2)*A*b-2/7/a/x^(7/2)*B-2/a^5*b^4/x^(1/2)*A+2/a^4*b^3/x^(1/2)*B-2/5/a^3*b^2/x^(5/2)*A+2/5/a^2*b/x^(5/2)*B+2/3/a^4*b^3/x^(3/2)*A-2/3/a^3*b^2/x^(3/2)*B","A"
354,1,163,128,0.016000," ","int(x^(7/2)*(B*x+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^2*A*x^(1/2)-8/b^5*a^3*B*x^(1/2)+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(1/(a*b)^(1/2)*b*x^(1/2))*A+9*a^4/b^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B","A"
355,1,139,108,0.016000," ","int(x^(5/2)*(B*x+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*B*x^(3/2)*a-4/b^3*a*A*x^(1/2)+6/b^4*a^2*B*x^(1/2)-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"
356,1,113,90,0.016000," ","int(x^(3/2)*(B*x+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"
357,1,87,71,0.015000," ","int((B*x+A)*x^(1/2)/(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"
358,1,69,51,0.012000," ","int((B*x+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"
359,1,87,72,0.016000," ","int((B*x+A)/x^(3/2)/(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"
360,1,113,89,0.019000," ","int((B*x+A)/x^(5/2)/(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,"1/a^3*b^2*x^(1/2)/(b*x+a)*A-1/a^2*b*x^(1/2)/(b*x+a)*B+5/a^3*b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A-3/a^2*b/(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/a^2/x^(1/2)*B","A"
361,1,139,109,0.017000," ","int((B*x+A)/x^(7/2)/(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"
362,1,163,127,0.022000," ","int((B*x+A)/x^(9/2)/(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"
363,1,178,137,0.020000," ","int(x^(7/2)*(B*x+A)/(b*x+a)^3,x)","-\frac{13 A \,a^{2} x^{\frac{3}{2}}}{4 \left(b x +a \right)^{2} b^{3}}+\frac{17 B \,a^{3} x^{\frac{3}{2}}}{4 \left(b x +a \right)^{2} b^{4}}-\frac{11 A \,a^{3} \sqrt{x}}{4 \left(b x +a \right)^{2} b^{4}}+\frac{15 B \,a^{4} \sqrt{x}}{4 \left(b x +a \right)^{2} b^{5}}+\frac{2 B \,x^{\frac{5}{2}}}{5 b^{3}}+\frac{35 A \,a^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, b^{4}}-\frac{63 B \,a^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, b^{5}}+\frac{2 A \,x^{\frac{3}{2}}}{3 b^{3}}-\frac{2 B a \,x^{\frac{3}{2}}}{b^{4}}-\frac{6 A a \sqrt{x}}{b^{4}}+\frac{12 B \,a^{2} \sqrt{x}}{b^{5}}"," ",0,"2/5/b^3*B*x^(5/2)+2/3/b^3*A*x^(3/2)-2/b^4*B*x^(3/2)*a-6/b^4*a*A*x^(1/2)+12/b^5*a^2*B*x^(1/2)-13/4*a^2/b^3/(b*x+a)^2*A*x^(3/2)+17/4*a^3/b^4/(b*x+a)^2*B*x^(3/2)-11/4*a^3/b^4/(b*x+a)^2*A*x^(1/2)+15/4*a^4/b^5/(b*x+a)^2*B*x^(1/2)+35/4*a^2/b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A-63/4*a^3/b^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B","A"
364,1,152,119,0.019000," ","int(x^(5/2)*(B*x+A)/(b*x+a)^3,x)","\frac{9 A a \,x^{\frac{3}{2}}}{4 \left(b x +a \right)^{2} b^{2}}-\frac{13 B \,a^{2} x^{\frac{3}{2}}}{4 \left(b x +a \right)^{2} b^{3}}+\frac{7 A \,a^{2} \sqrt{x}}{4 \left(b x +a \right)^{2} b^{3}}-\frac{11 B \,a^{3} \sqrt{x}}{4 \left(b x +a \right)^{2} b^{4}}-\frac{15 A a \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, b^{3}}+\frac{35 B \,a^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, b^{4}}+\frac{2 B \,x^{\frac{3}{2}}}{3 b^{3}}+\frac{2 A \sqrt{x}}{b^{3}}-\frac{6 B a \sqrt{x}}{b^{4}}"," ",0,"2/3/b^3*B*x^(3/2)+2/b^3*A*x^(1/2)-6/b^4*B*a*x^(1/2)+9/4*a/b^2/(b*x+a)^2*x^(3/2)*A-13/4*a^2/b^3/(b*x+a)^2*x^(3/2)*B+7/4*a^2/b^3/(b*x+a)^2*A*x^(1/2)-11/4*a^3/b^4/(b*x+a)^2*B*x^(1/2)-15/4*a/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A+35/4*a^2/b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B","A"
365,1,125,99,0.016000," ","int(x^(3/2)*(B*x+A)/(b*x+a)^3,x)","-\frac{5 A \,x^{\frac{3}{2}}}{4 \left(b x +a \right)^{2} b}+\frac{9 B a \,x^{\frac{3}{2}}}{4 \left(b x +a \right)^{2} b^{2}}-\frac{3 A a \sqrt{x}}{4 \left(b x +a \right)^{2} b^{2}}+\frac{7 B \,a^{2} \sqrt{x}}{4 \left(b x +a \right)^{2} b^{3}}+\frac{3 A \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, b^{2}}-\frac{15 B a \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, b^{3}}+\frac{2 B \sqrt{x}}{b^{3}}"," ",0,"2*B/b^3*x^(1/2)-5/4/b/(b*x+a)^2*x^(3/2)*A+9/4/b^2/(b*x+a)^2*x^(3/2)*B*a-3/4/b^2/(b*x+a)^2*A*x^(1/2)*a+7/4/b^3/(b*x+a)^2*B*x^(1/2)*a^2+3/4/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A-15/4/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B*a","A"
366,1,94,80,0.016000," ","int((B*x+A)*x^(1/2)/(b*x+a)^3,x)","\frac{A \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, a b}+\frac{3 B \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, b^{2}}+\frac{\frac{\left(A b -5 B a \right) x^{\frac{3}{2}}}{4 a b}-\frac{\left(A b +3 B a \right) \sqrt{x}}{4 b^{2}}}{\left(b x +a \right)^{2}}"," ",0,"2*(1/8*(A*b-5*B*a)/a/b*x^(3/2)-1/8*(A*b+3*B*a)/b^2*x^(1/2))/(b*x+a)^2+1/4/b/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A+3/4/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B","A"
367,1,95,80,0.014000," ","int((B*x+A)/(b*x+a)^3/x^(1/2),x)","\frac{3 A \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, a^{2}}+\frac{B \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, a b}+\frac{\frac{\left(3 A b +B a \right) x^{\frac{3}{2}}}{4 a^{2}}+\frac{\left(5 A b -B a \right) \sqrt{x}}{4 a b}}{\left(b x +a \right)^{2}}"," ",0,"2*(1/8*(3*A*b+B*a)/a^2*x^(3/2)+1/8*(5*A*b-B*a)/a/b*x^(1/2))/(b*x+a)^2+3/4/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A+1/4/a/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B","A"
368,1,125,102,0.019000," ","int((B*x+A)/x^(3/2)/(b*x+a)^3,x)","-\frac{7 A \,b^{2} x^{\frac{3}{2}}}{4 \left(b x +a \right)^{2} a^{3}}+\frac{3 B b \,x^{\frac{3}{2}}}{4 \left(b x +a \right)^{2} a^{2}}-\frac{9 A b \sqrt{x}}{4 \left(b x +a \right)^{2} a^{2}}+\frac{5 B \sqrt{x}}{4 \left(b x +a \right)^{2} a}-\frac{15 A b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, a^{3}}+\frac{3 B \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, a^{2}}-\frac{2 A}{a^{3} \sqrt{x}}"," ",0,"-7/4/a^3/(b*x+a)^2*x^(3/2)*A*b^2+3/4/a^2/(b*x+a)^2*x^(3/2)*B*b-9/4/a^2/(b*x+a)^2*A*x^(1/2)*b+5/4/a/(b*x+a)^2*B*x^(1/2)-15/4/a^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A*b+3/4/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B-2*A/a^3/x^(1/2)","A"
369,1,152,119,0.020000," ","int((B*x+A)/x^(5/2)/(b*x+a)^3,x)","\frac{11 A \,b^{3} x^{\frac{3}{2}}}{4 \left(b x +a \right)^{2} a^{4}}-\frac{7 B \,b^{2} x^{\frac{3}{2}}}{4 \left(b x +a \right)^{2} a^{3}}+\frac{13 A \,b^{2} \sqrt{x}}{4 \left(b x +a \right)^{2} a^{3}}-\frac{9 B b \sqrt{x}}{4 \left(b x +a \right)^{2} a^{2}}+\frac{35 A \,b^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, a^{4}}-\frac{15 B b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, a^{3}}+\frac{6 A b}{a^{4} \sqrt{x}}-\frac{2 B}{a^{3} \sqrt{x}}-\frac{2 A}{3 a^{3} x^{\frac{3}{2}}}"," ",0,"11/4/a^4*b^3/(b*x+a)^2*x^(3/2)*A-7/4/a^3*b^2/(b*x+a)^2*x^(3/2)*B+13/4/a^3*b^2/(b*x+a)^2*A*x^(1/2)-9/4/a^2*b/(b*x+a)^2*B*x^(1/2)+35/4/a^4*b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A-15/4/a^3*b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B-2/3*A/a^3/x^(3/2)+6/a^4/x^(1/2)*A*b-2/a^3/x^(1/2)*B","A"
370,1,178,137,0.021000," ","int((B*x+A)/x^(7/2)/(b*x+a)^3,x)","-\frac{15 A \,b^{4} x^{\frac{3}{2}}}{4 \left(b x +a \right)^{2} a^{5}}+\frac{11 B \,b^{3} x^{\frac{3}{2}}}{4 \left(b x +a \right)^{2} a^{4}}-\frac{17 A \,b^{3} \sqrt{x}}{4 \left(b x +a \right)^{2} a^{4}}+\frac{13 B \,b^{2} \sqrt{x}}{4 \left(b x +a \right)^{2} a^{3}}-\frac{63 A \,b^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, a^{5}}+\frac{35 B \,b^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, a^{4}}-\frac{12 A \,b^{2}}{a^{5} \sqrt{x}}+\frac{6 B b}{a^{4} \sqrt{x}}+\frac{2 A b}{a^{4} x^{\frac{3}{2}}}-\frac{2 B}{3 a^{3} x^{\frac{3}{2}}}-\frac{2 A}{5 a^{3} x^{\frac{5}{2}}}"," ",0,"-15/4/a^5*b^4/(b*x+a)^2*x^(3/2)*A+11/4/a^4*b^3/(b*x+a)^2*x^(3/2)*B-17/4/a^4*b^3/(b*x+a)^2*A*x^(1/2)+13/4/a^3*b^2/(b*x+a)^2*B*x^(1/2)-63/4/a^5*b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*A+35/4/a^4*b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))*B-2/5*A/a^3/x^(5/2)+2/a^4/x^(3/2)*A*b-2/3/a^3/x^(3/2)*B-12*b^2/a^5/x^(1/2)*A+6*b/a^4/x^(1/2)*B","A"
371,1,722,125,0.008000," ","int(x^m*(b*x+a)^4*(B*x+A),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 \,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}\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"
372,1,454,96,0.005000," ","int(x^m*(b*x+a)^3*(B*x+A),x)","\frac{\left(B \,b^{3} m^{4} x^{4}+A \,b^{3} m^{4} x^{3}+3 B a \,b^{2} m^{4} x^{3}+10 B \,b^{3} m^{3} x^{4}+3 A a \,b^{2} m^{4} x^{2}+11 A \,b^{3} m^{3} x^{3}+3 B \,a^{2} b \,m^{4} x^{2}+33 B a \,b^{2} m^{3} x^{3}+35 B \,b^{3} m^{2} x^{4}+3 A \,a^{2} b \,m^{4} x +36 A a \,b^{2} m^{3} x^{2}+41 A \,b^{3} m^{2} x^{3}+B \,a^{3} m^{4} x +36 B \,a^{2} b \,m^{3} x^{2}+123 B a \,b^{2} m^{2} x^{3}+50 B \,b^{3} m \,x^{4}+A \,a^{3} m^{4}+39 A \,a^{2} b \,m^{3} x +147 A a \,b^{2} m^{2} x^{2}+61 A \,b^{3} m \,x^{3}+13 B \,a^{3} m^{3} x +147 B \,a^{2} b \,m^{2} x^{2}+183 B a \,b^{2} m \,x^{3}+24 B \,b^{3} x^{4}+14 A \,a^{3} m^{3}+177 A \,a^{2} b \,m^{2} x +234 A a \,b^{2} m \,x^{2}+30 A \,b^{3} x^{3}+59 B \,a^{3} m^{2} x +234 B \,a^{2} b m \,x^{2}+90 B a \,b^{2} x^{3}+71 A \,a^{3} m^{2}+321 A \,a^{2} b m x +120 A a \,b^{2} x^{2}+107 B \,a^{3} m x +120 B \,a^{2} b \,x^{2}+154 A \,a^{3} m +180 A \,a^{2} b x +60 B \,a^{3} x +120 a^{3} A \right) x^{m +1}}{\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^3*m^4*x^4+A*b^3*m^4*x^3+3*B*a*b^2*m^4*x^3+10*B*b^3*m^3*x^4+3*A*a*b^2*m^4*x^2+11*A*b^3*m^3*x^3+3*B*a^2*b*m^4*x^2+33*B*a*b^2*m^3*x^3+35*B*b^3*m^2*x^4+3*A*a^2*b*m^4*x+36*A*a*b^2*m^3*x^2+41*A*b^3*m^2*x^3+B*a^3*m^4*x+36*B*a^2*b*m^3*x^2+123*B*a*b^2*m^2*x^3+50*B*b^3*m*x^4+A*a^3*m^4+39*A*a^2*b*m^3*x+147*A*a*b^2*m^2*x^2+61*A*b^3*m*x^3+13*B*a^3*m^3*x+147*B*a^2*b*m^2*x^2+183*B*a*b^2*m*x^3+24*B*b^3*x^4+14*A*a^3*m^3+177*A*a^2*b*m^2*x+234*A*a*b^2*m*x^2+30*A*b^3*x^3+59*B*a^3*m^2*x+234*B*a^2*b*m*x^2+90*B*a*b^2*x^3+71*A*a^3*m^2+321*A*a^2*b*m*x+120*A*a*b^2*x^2+107*B*a^3*m*x+120*B*a^2*b*x^2+154*A*a^3*m+180*A*a^2*b*x+60*B*a^3*x+120*A*a^3)/(m+5)/(m+4)/(m+3)/(m+2)/(m+1)","B"
373,1,246,71,0.007000," ","int(x^m*(b*x+a)^2*(B*x+A),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^{2} A \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"
374,1,98,45,0.003000," ","int(x^m*(b*x+a)*(B*x+A),x)","\frac{\left(B b \,m^{2} x^{2}+A b \,m^{2} x +B a \,m^{2} x +3 B b m \,x^{2}+A a \,m^{2}+4 A b m x +4 B a m x +2 B b \,x^{2}+5 A a m +3 A b x +3 B a x +6 A a \right) x^{m +1}}{\left(m +3\right) \left(m +2\right) \left(m +1\right)}"," ",0,"x^(m+1)*(B*b*m^2*x^2+A*b*m^2*x+B*a*m^2*x+3*B*b*m*x^2+A*a*m^2+4*A*b*m*x+4*B*a*m*x+2*B*b*x^2+5*A*a*m+3*A*b*x+3*B*a*x+6*A*a)/(m+3)/(m+2)/(m+1)","B"
375,0,0,58,0.119000," ","int(x^m*(B*x+A)/(b*x+a),x)","\int \frac{\left(B x +A \right) x^{m}}{b x +a}\, dx"," ",0,"int(x^m*(B*x+A)/(b*x+a),x)","F"
376,0,0,75,0.113000," ","int(x^m*(B*x+A)/(b*x+a)^2,x)","\int \frac{\left(B x +A \right) x^{m}}{\left(b x +a \right)^{2}}\, dx"," ",0,"int(x^m*(B*x+A)/(b*x+a)^2,x)","F"
377,0,0,79,0.114000," ","int(x^m*(B*x+A)/(b*x+a)^3,x)","\int \frac{\left(B x +A \right) x^{m}}{\left(b x +a \right)^{3}}\, dx"," ",0,"int(x^m*(B*x+A)/(b*x+a)^3,x)","F"
378,1,2058,231,0.008000," ","int(x^m*(b*x+a)^2*(d*x+c)^5,x)","\frac{\left(b^{2} d^{5} m^{7} x^{7}+2 a b \,d^{5} m^{7} x^{6}+5 b^{2} c \,d^{4} m^{7} x^{6}+28 b^{2} d^{5} m^{6} x^{7}+a^{2} d^{5} m^{7} x^{5}+10 a b c \,d^{4} m^{7} x^{5}+58 a b \,d^{5} m^{6} x^{6}+10 b^{2} c^{2} d^{3} m^{7} x^{5}+145 b^{2} c \,d^{4} m^{6} x^{6}+322 b^{2} d^{5} m^{5} x^{7}+5 a^{2} c \,d^{4} m^{7} x^{4}+30 a^{2} d^{5} m^{6} x^{5}+20 a b \,c^{2} d^{3} m^{7} x^{4}+300 a b c \,d^{4} m^{6} x^{5}+686 a b \,d^{5} m^{5} x^{6}+10 b^{2} c^{3} d^{2} m^{7} x^{4}+300 b^{2} c^{2} d^{3} m^{6} x^{5}+1715 b^{2} c \,d^{4} m^{5} x^{6}+1960 b^{2} d^{5} m^{4} x^{7}+10 a^{2} c^{2} d^{3} m^{7} x^{3}+155 a^{2} c \,d^{4} m^{6} x^{4}+366 a^{2} d^{5} m^{5} x^{5}+20 a b \,c^{3} d^{2} m^{7} x^{3}+620 a b \,c^{2} d^{3} m^{6} x^{4}+3660 a b c \,d^{4} m^{5} x^{5}+4270 a b \,d^{5} m^{4} x^{6}+5 b^{2} c^{4} d \,m^{7} x^{3}+310 b^{2} c^{3} d^{2} m^{6} x^{4}+3660 b^{2} c^{2} d^{3} m^{5} x^{5}+10675 b^{2} c \,d^{4} m^{4} x^{6}+6769 b^{2} d^{5} m^{3} x^{7}+10 a^{2} c^{3} d^{2} m^{7} x^{2}+320 a^{2} c^{2} d^{3} m^{6} x^{3}+1955 a^{2} c \,d^{4} m^{5} x^{4}+2340 a^{2} d^{5} m^{4} x^{5}+10 a b \,c^{4} d \,m^{7} x^{2}+640 a b \,c^{3} d^{2} m^{6} x^{3}+7820 a b \,c^{2} d^{3} m^{5} x^{4}+23400 a b c \,d^{4} m^{4} x^{5}+15008 a b \,d^{5} m^{3} x^{6}+b^{2} c^{5} m^{7} x^{2}+160 b^{2} c^{4} d \,m^{6} x^{3}+3910 b^{2} c^{3} d^{2} m^{5} x^{4}+23400 b^{2} c^{2} d^{3} m^{4} x^{5}+37520 b^{2} c \,d^{4} m^{3} x^{6}+13132 b^{2} d^{5} m^{2} x^{7}+5 a^{2} c^{4} d \,m^{7} x +330 a^{2} c^{3} d^{2} m^{6} x^{2}+4180 a^{2} c^{2} d^{3} m^{5} x^{3}+12905 a^{2} c \,d^{4} m^{4} x^{4}+8409 a^{2} d^{5} m^{3} x^{5}+2 a b \,c^{5} m^{7} x +330 a b \,c^{4} d \,m^{6} x^{2}+8360 a b \,c^{3} d^{2} m^{5} x^{3}+51620 a b \,c^{2} d^{3} m^{4} x^{4}+84090 a b c \,d^{4} m^{3} x^{5}+29512 a b \,d^{5} m^{2} x^{6}+33 b^{2} c^{5} m^{6} x^{2}+2090 b^{2} c^{4} d \,m^{5} x^{3}+25810 b^{2} c^{3} d^{2} m^{4} x^{4}+84090 b^{2} c^{2} d^{3} m^{3} x^{5}+73780 b^{2} c \,d^{4} m^{2} x^{6}+13068 b^{2} d^{5} m \,x^{7}+a^{2} c^{5} m^{7}+170 a^{2} c^{4} d \,m^{6} x +4470 a^{2} c^{3} d^{2} m^{5} x^{2}+28640 a^{2} c^{2} d^{3} m^{4} x^{3}+47720 a^{2} c \,d^{4} m^{3} x^{4}+16830 a^{2} d^{5} m^{2} x^{5}+68 a b \,c^{5} m^{6} x +4470 a b \,c^{4} d \,m^{5} x^{2}+57280 a b \,c^{3} d^{2} m^{4} x^{3}+190880 a b \,c^{2} d^{3} m^{3} x^{4}+168300 a b c \,d^{4} m^{2} x^{5}+29664 a b \,d^{5} m \,x^{6}+447 b^{2} c^{5} m^{5} x^{2}+14320 b^{2} c^{4} d \,m^{4} x^{3}+95440 b^{2} c^{3} d^{2} m^{3} x^{4}+168300 b^{2} c^{2} d^{3} m^{2} x^{5}+74160 b^{2} c \,d^{4} m \,x^{6}+5040 b^{2} d^{5} x^{7}+35 a^{2} c^{5} m^{6}+2390 a^{2} c^{4} d \,m^{5} x +31950 a^{2} c^{3} d^{2} m^{4} x^{2}+109930 a^{2} c^{2} d^{3} m^{3} x^{3}+97820 a^{2} c \,d^{4} m^{2} x^{4}+17144 a^{2} d^{5} m \,x^{5}+956 a b \,c^{5} m^{5} x +31950 a b \,c^{4} d \,m^{4} x^{2}+219860 a b \,c^{3} d^{2} m^{3} x^{3}+391280 a b \,c^{2} d^{3} m^{2} x^{4}+171440 a b c \,d^{4} m \,x^{5}+11520 a b \,d^{5} x^{6}+3195 b^{2} c^{5} m^{4} x^{2}+54965 b^{2} c^{4} d \,m^{3} x^{3}+195640 b^{2} c^{3} d^{2} m^{2} x^{4}+171440 b^{2} c^{2} d^{3} m \,x^{5}+28800 b^{2} c \,d^{4} x^{6}+511 a^{2} c^{5} m^{5}+17900 a^{2} c^{4} d \,m^{4} x +128640 a^{2} c^{3} d^{2} m^{3} x^{2}+233120 a^{2} c^{2} d^{3} m^{2} x^{3}+101520 a^{2} c \,d^{4} m \,x^{4}+6720 a^{2} d^{5} x^{5}+7160 a b \,c^{5} m^{4} x +128640 a b \,c^{4} d \,m^{3} x^{2}+466240 a b \,c^{3} d^{2} m^{2} x^{3}+406080 a b \,c^{2} d^{3} m \,x^{4}+67200 a b c \,d^{4} x^{5}+12864 b^{2} c^{5} m^{3} x^{2}+116560 b^{2} c^{4} d \,m^{2} x^{3}+203040 b^{2} c^{3} d^{2} m \,x^{4}+67200 b^{2} c^{2} d^{3} x^{5}+4025 a^{2} c^{5} m^{4}+76445 a^{2} c^{4} d \,m^{3} x +286920 a^{2} c^{3} d^{2} m^{2} x^{2}+248760 a^{2} c^{2} d^{3} m \,x^{3}+40320 a^{2} c \,d^{4} x^{4}+30578 a b \,c^{5} m^{3} x +286920 a b \,c^{4} d \,m^{2} x^{2}+497520 a b \,c^{3} d^{2} m \,x^{3}+161280 a b \,c^{2} d^{3} x^{4}+28692 b^{2} c^{5} m^{2} x^{2}+124380 b^{2} c^{4} d m \,x^{3}+80640 b^{2} c^{3} d^{2} x^{4}+18424 a^{2} c^{5} m^{3}+183530 a^{2} c^{4} d \,m^{2} x +320480 a^{2} c^{3} d^{2} m \,x^{2}+100800 a^{2} c^{2} d^{3} x^{3}+73412 a b \,c^{5} m^{2} x +320480 a b \,c^{4} d m \,x^{2}+201600 a b \,c^{3} d^{2} x^{3}+32048 b^{2} c^{5} m \,x^{2}+50400 b^{2} c^{4} d \,x^{3}+48860 a^{2} c^{5} m^{2}+223560 a^{2} c^{4} d m x +134400 a^{2} c^{3} d^{2} x^{2}+89424 a b \,c^{5} m x +134400 a b \,c^{4} d \,x^{2}+13440 b^{2} c^{5} x^{2}+69264 a^{2} c^{5} m +100800 a^{2} c^{4} d x +40320 a b \,c^{5} x +40320 a^{2} c^{5}\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^2*d^5*m^7*x^7+2*a*b*d^5*m^7*x^6+5*b^2*c*d^4*m^7*x^6+28*b^2*d^5*m^6*x^7+a^2*d^5*m^7*x^5+10*a*b*c*d^4*m^7*x^5+58*a*b*d^5*m^6*x^6+10*b^2*c^2*d^3*m^7*x^5+145*b^2*c*d^4*m^6*x^6+322*b^2*d^5*m^5*x^7+5*a^2*c*d^4*m^7*x^4+30*a^2*d^5*m^6*x^5+20*a*b*c^2*d^3*m^7*x^4+300*a*b*c*d^4*m^6*x^5+686*a*b*d^5*m^5*x^6+10*b^2*c^3*d^2*m^7*x^4+300*b^2*c^2*d^3*m^6*x^5+1715*b^2*c*d^4*m^5*x^6+1960*b^2*d^5*m^4*x^7+10*a^2*c^2*d^3*m^7*x^3+155*a^2*c*d^4*m^6*x^4+366*a^2*d^5*m^5*x^5+20*a*b*c^3*d^2*m^7*x^3+620*a*b*c^2*d^3*m^6*x^4+3660*a*b*c*d^4*m^5*x^5+4270*a*b*d^5*m^4*x^6+5*b^2*c^4*d*m^7*x^3+310*b^2*c^3*d^2*m^6*x^4+3660*b^2*c^2*d^3*m^5*x^5+10675*b^2*c*d^4*m^4*x^6+6769*b^2*d^5*m^3*x^7+10*a^2*c^3*d^2*m^7*x^2+320*a^2*c^2*d^3*m^6*x^3+1955*a^2*c*d^4*m^5*x^4+2340*a^2*d^5*m^4*x^5+10*a*b*c^4*d*m^7*x^2+640*a*b*c^3*d^2*m^6*x^3+7820*a*b*c^2*d^3*m^5*x^4+23400*a*b*c*d^4*m^4*x^5+15008*a*b*d^5*m^3*x^6+b^2*c^5*m^7*x^2+160*b^2*c^4*d*m^6*x^3+3910*b^2*c^3*d^2*m^5*x^4+23400*b^2*c^2*d^3*m^4*x^5+37520*b^2*c*d^4*m^3*x^6+13132*b^2*d^5*m^2*x^7+5*a^2*c^4*d*m^7*x+330*a^2*c^3*d^2*m^6*x^2+4180*a^2*c^2*d^3*m^5*x^3+12905*a^2*c*d^4*m^4*x^4+8409*a^2*d^5*m^3*x^5+2*a*b*c^5*m^7*x+330*a*b*c^4*d*m^6*x^2+8360*a*b*c^3*d^2*m^5*x^3+51620*a*b*c^2*d^3*m^4*x^4+84090*a*b*c*d^4*m^3*x^5+29512*a*b*d^5*m^2*x^6+33*b^2*c^5*m^6*x^2+2090*b^2*c^4*d*m^5*x^3+25810*b^2*c^3*d^2*m^4*x^4+84090*b^2*c^2*d^3*m^3*x^5+73780*b^2*c*d^4*m^2*x^6+13068*b^2*d^5*m*x^7+a^2*c^5*m^7+170*a^2*c^4*d*m^6*x+4470*a^2*c^3*d^2*m^5*x^2+28640*a^2*c^2*d^3*m^4*x^3+47720*a^2*c*d^4*m^3*x^4+16830*a^2*d^5*m^2*x^5+68*a*b*c^5*m^6*x+4470*a*b*c^4*d*m^5*x^2+57280*a*b*c^3*d^2*m^4*x^3+190880*a*b*c^2*d^3*m^3*x^4+168300*a*b*c*d^4*m^2*x^5+29664*a*b*d^5*m*x^6+447*b^2*c^5*m^5*x^2+14320*b^2*c^4*d*m^4*x^3+95440*b^2*c^3*d^2*m^3*x^4+168300*b^2*c^2*d^3*m^2*x^5+74160*b^2*c*d^4*m*x^6+5040*b^2*d^5*x^7+35*a^2*c^5*m^6+2390*a^2*c^4*d*m^5*x+31950*a^2*c^3*d^2*m^4*x^2+109930*a^2*c^2*d^3*m^3*x^3+97820*a^2*c*d^4*m^2*x^4+17144*a^2*d^5*m*x^5+956*a*b*c^5*m^5*x+31950*a*b*c^4*d*m^4*x^2+219860*a*b*c^3*d^2*m^3*x^3+391280*a*b*c^2*d^3*m^2*x^4+171440*a*b*c*d^4*m*x^5+11520*a*b*d^5*x^6+3195*b^2*c^5*m^4*x^2+54965*b^2*c^4*d*m^3*x^3+195640*b^2*c^3*d^2*m^2*x^4+171440*b^2*c^2*d^3*m*x^5+28800*b^2*c*d^4*x^6+511*a^2*c^5*m^5+17900*a^2*c^4*d*m^4*x+128640*a^2*c^3*d^2*m^3*x^2+233120*a^2*c^2*d^3*m^2*x^3+101520*a^2*c*d^4*m*x^4+6720*a^2*d^5*x^5+7160*a*b*c^5*m^4*x+128640*a*b*c^4*d*m^3*x^2+466240*a*b*c^3*d^2*m^2*x^3+406080*a*b*c^2*d^3*m*x^4+67200*a*b*c*d^4*x^5+12864*b^2*c^5*m^3*x^2+116560*b^2*c^4*d*m^2*x^3+203040*b^2*c^3*d^2*m*x^4+67200*b^2*c^2*d^3*x^5+4025*a^2*c^5*m^4+76445*a^2*c^4*d*m^3*x+286920*a^2*c^3*d^2*m^2*x^2+248760*a^2*c^2*d^3*m*x^3+40320*a^2*c*d^4*x^4+30578*a*b*c^5*m^3*x+286920*a*b*c^4*d*m^2*x^2+497520*a*b*c^3*d^2*m*x^3+161280*a*b*c^2*d^3*x^4+28692*b^2*c^5*m^2*x^2+124380*b^2*c^4*d*m*x^3+80640*b^2*c^3*d^2*x^4+18424*a^2*c^5*m^3+183530*a^2*c^4*d*m^2*x+320480*a^2*c^3*d^2*m*x^2+100800*a^2*c^2*d^3*x^3+73412*a*b*c^5*m^2*x+320480*a*b*c^4*d*m*x^2+201600*a*b*c^3*d^2*x^3+32048*b^2*c^5*m*x^2+50400*b^2*c^4*d*x^3+48860*a^2*c^5*m^2+223560*a^2*c^4*d*m*x+134400*a^2*c^3*d^2*x^2+89424*a*b*c^5*m*x+134400*a*b*c^4*d*x^2+13440*b^2*c^5*x^2+69264*a^2*c^5*m+100800*a^2*c^4*d*x+40320*a*b*c^5*x+40320*a^2*c^5)/(m+8)/(m+7)/(m+6)/(m+5)/(m+4)/(m+3)/(m+2)/(m+1)","B"
379,0,0,129,0.124000," ","int(x^m*(d*x+c)^3/(b*x+a),x)","\int \frac{\left(d x +c \right)^{3} x^{m}}{b x +a}\, dx"," ",0,"int(x^m*(d*x+c)^3/(b*x+a),x)","F"
380,0,0,101,0.121000," ","int(x^m*(d*x+c)^2/(b*x+a),x)","\int \frac{\left(d x +c \right)^{2} x^{m}}{b x +a}\, dx"," ",0,"int(x^m*(d*x+c)^2/(b*x+a),x)","F"
381,0,0,58,0.116000," ","int(x^m*(d*x+c)/(b*x+a),x)","\int \frac{\left(d x +c \right) x^{m}}{b x +a}\, dx"," ",0,"int(x^m*(d*x+c)/(b*x+a),x)","F"
382,0,0,86,0.122000," ","int(x^m/(b*x+a)/(d*x+c),x)","\int \frac{x^{m}}{\left(b x +a \right) \left(d x +c \right)}\, dx"," ",0,"int(x^m/(b*x+a)/(d*x+c),x)","F"
383,0,0,129,0.124000," ","int(x^m/(b*x+a)/(d*x+c)^2,x)","\int \frac{x^{m}}{\left(b x +a \right) \left(d x +c \right)^{2}}\, dx"," ",0,"int(x^m/(b*x+a)/(d*x+c)^2,x)","F"
384,0,0,204,0.123000," ","int(x^m/(b*x+a)/(d*x+c)^3,x)","\int \frac{x^{m}}{\left(b x +a \right) \left(d x +c \right)^{3}}\, dx"," ",0,"int(x^m/(b*x+a)/(d*x+c)^3,x)","F"
385,0,0,34,0.123000," ","int(b^2*x^m/(a*x^2+b)^2,x)","\int \frac{b^{2} x^{m}}{\left(a \,x^{2}+b \right)^{2}}\, dx"," ",0,"int(b^2*x^m/(a*x^2+b)^2,x)","F"
386,0,0,34,0.145000," ","int(x^m/(1-x*a^(1/2)/(-b)^(1/2))^2/(1+x*a^(1/2)/(-b)^(1/2))^2,x)","\int \frac{x^{m}}{\left(-\frac{\sqrt{a}\, x}{\sqrt{-b}}+1\right)^{2} \left(\frac{\sqrt{a}\, x}{\sqrt{-b}}+1\right)^{2}}\, dx"," ",0,"int(x^m/(1-x*a^(1/2)/(-b)^(1/2))^2/(1+x*a^(1/2)/(-b)^(1/2))^2,x)","F"
387,1,119,127,0.006000," ","int(x^4*(B*x+A)*(b*x+a)^(1/2),x)","\frac{2 \left(b x +a \right)^{\frac{3}{2}} \left(3465 B \,b^{5} x^{5}+4095 A \,b^{5} x^{4}-3150 B a \,b^{4} x^{4}-3640 A a \,b^{4} x^{3}+2800 B \,a^{2} b^{3} x^{3}+3120 A \,a^{2} b^{3} x^{2}-2400 B \,a^{3} b^{2} x^{2}-2496 A \,a^{3} b^{2} x +1920 B \,a^{4} b x +1664 A \,a^{4} b -1280 B \,a^{5}\right)}{45045 b^{6}}"," ",0,"2/45045*(b*x+a)^(3/2)*(3465*B*b^5*x^5+4095*A*b^5*x^4-3150*B*a*b^4*x^4-3640*A*a*b^4*x^3+2800*B*a^2*b^3*x^3+3120*A*a^2*b^3*x^2-2400*B*a^3*b^2*x^2-2496*A*a^3*b^2*x+1920*B*a^4*b*x+1664*A*a^4*b-1280*B*a^5)/b^6","A"
388,1,95,102,0.008000," ","int(x^3*(B*x+A)*(b*x+a)^(1/2),x)","-\frac{2 \left(b x +a \right)^{\frac{3}{2}} \left(-315 B \,x^{4} b^{4}-385 A \,b^{4} x^{3}+280 B a \,b^{3} x^{3}+330 A a \,b^{3} x^{2}-240 B \,a^{2} b^{2} x^{2}-264 A \,a^{2} b^{2} x +192 B \,a^{3} b x +176 A \,a^{3} b -128 B \,a^{4}\right)}{3465 b^{5}}"," ",0,"-2/3465*(b*x+a)^(3/2)*(-315*B*b^4*x^4-385*A*b^4*x^3+280*B*a*b^3*x^3+330*A*a*b^3*x^2-240*B*a^2*b^2*x^2-264*A*a^2*b^2*x+192*B*a^3*b*x+176*A*a^3*b-128*B*a^4)/b^5","A"
389,1,71,79,0.006000," ","int(x^2*(B*x+A)*(b*x+a)^(1/2),x)","\frac{2 \left(b x +a \right)^{\frac{3}{2}} \left(35 B \,b^{3} x^{3}+45 A \,b^{3} x^{2}-30 B a \,b^{2} x^{2}-36 A a \,b^{2} x +24 B \,a^{2} b x +24 A \,a^{2} b -16 B \,a^{3}\right)}{315 b^{4}}"," ",0,"2/315*(b*x+a)^(3/2)*(35*B*b^3*x^3+45*A*b^3*x^2-30*B*a*b^2*x^2-36*A*a*b^2*x+24*B*a^2*b*x+24*A*a^2*b-16*B*a^3)/b^4","A"
390,1,47,55,0.003000," ","int(x*(B*x+A)*(b*x+a)^(1/2),x)","-\frac{2 \left(b x +a \right)^{\frac{3}{2}} \left(-15 B \,b^{2} x^{2}-21 A \,b^{2} x +12 B a b x +14 A a b -8 B \,a^{2}\right)}{105 b^{3}}"," ",0,"-2/105*(b*x+a)^(3/2)*(-15*B*b^2*x^2-21*A*b^2*x+12*B*a*b*x+14*A*a*b-8*B*a^2)/b^3","A"
391,1,27,34,0.003000," ","int((B*x+A)*(b*x+a)^(1/2),x)","\frac{2 \left(b x +a \right)^{\frac{3}{2}} \left(3 B b x +5 A b -2 B a \right)}{15 b^{2}}"," ",0,"2/15*(b*x+a)^(3/2)*(3*B*b*x+5*A*b-2*B*a)/b^2","A"
392,1,46,42,0.007000," ","int((B*x+A)*(b*x+a)^(1/2)/x,x)","\frac{-2 A \sqrt{a}\, b \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)+2 \sqrt{b x +a}\, A b +\frac{2 \left(b x +a \right)^{\frac{3}{2}} B}{3}}{b}"," ",0,"2/b*(1/3*B*(b*x+a)^(3/2)+A*b*(b*x+a)^(1/2)-A*a^(1/2)*b*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
393,1,50,61,0.012000," ","int((B*x+A)*(b*x+a)^(1/2)/x^2,x)","2 \sqrt{b x +a}\, B -\frac{\left(A b +2 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{\sqrt{a}}-\frac{\sqrt{b x +a}\, A}{x}"," ",0,"2*B*(b*x+a)^(1/2)-A*(b*x+a)^(1/2)/x-(A*b+2*B*a)*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(1/2)","A"
394,1,75,66,0.014000," ","int((B*x+A)*(b*x+a)^(1/2)/x^3,x)","2 \left(\frac{\left(A b -4 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{8 a^{\frac{3}{2}}}+\frac{-\frac{\left(A b +4 B a \right) \left(b x +a \right)^{\frac{3}{2}}}{8 a}+\left(-\frac{A b}{8}+\frac{B a}{2}\right) \sqrt{b x +a}}{b^{2} x^{2}}\right) b"," ",0,"2*b*((-1/8*(A*b+4*B*a)/a*(b*x+a)^(3/2)+(1/2*B*a-1/8*A*b)*(b*x+a)^(1/2))/x^2/b^2+1/8*(A*b-4*B*a)/a^(3/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
395,1,91,92,0.015000," ","int((B*x+A)*(b*x+a)^(1/2)/x^4,x)","2 \left(-\frac{\left(A b -2 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{16 a^{\frac{5}{2}}}+\frac{-\frac{\left(b x +a \right)^{\frac{3}{2}} A b}{6 a}+\frac{\left(A b -2 B a \right) \left(b x +a \right)^{\frac{5}{2}}}{16 a^{2}}+\left(-\frac{A b}{16}+\frac{B a}{8}\right) \sqrt{b x +a}}{b^{3} x^{3}}\right) b^{2}"," ",0,"2*b^2*((1/16*(A*b-2*B*a)/a^2*(b*x+a)^(5/2)-1/6*A*b/a*(b*x+a)^(3/2)+(-1/16*A*b+1/8*B*a)*(b*x+a)^(1/2))/x^3/b^3-1/16*(A*b-2*B*a)/a^(5/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
396,1,121,122,0.015000," ","int((B*x+A)*(b*x+a)^(1/2)/x^5,x)","2 \left(\frac{\left(5 A b -8 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{128 a^{\frac{7}{2}}}+\frac{-\frac{\left(73 A b -40 B a \right) \left(b x +a \right)^{\frac{3}{2}}}{384 a}+\frac{11 \left(5 A b -8 B a \right) \left(b x +a \right)^{\frac{5}{2}}}{384 a^{2}}-\frac{\left(5 A b -8 B a \right) \left(b x +a \right)^{\frac{7}{2}}}{128 a^{3}}+\left(-\frac{5 A b}{128}+\frac{B a}{16}\right) \sqrt{b x +a}}{b^{4} x^{4}}\right) b^{3}"," ",0,"2*b^3*((-1/128*(5*A*b-8*B*a)/a^3*(b*x+a)^(7/2)+11/384/a^2*(5*A*b-8*B*a)*(b*x+a)^(5/2)-1/384*(73*A*b-40*B*a)/a*(b*x+a)^(3/2)+(-5/128*A*b+1/16*B*a)*(b*x+a)^(1/2))/x^4/b^4+1/128*(5*A*b-8*B*a)/a^(7/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
397,1,142,149,0.016000," ","int((B*x+A)*(b*x+a)^(1/2)/x^6,x)","2 \left(-\frac{\left(7 A b -10 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{256 a^{\frac{9}{2}}}+\frac{-\frac{\left(79 A b -58 B a \right) \left(b x +a \right)^{\frac{3}{2}}}{384 a}+\frac{\left(7 A b -10 B a \right) \left(b x +a \right)^{\frac{5}{2}}}{30 a^{2}}-\frac{7 \left(7 A b -10 B a \right) \left(b x +a \right)^{\frac{7}{2}}}{384 a^{3}}+\frac{\left(7 A b -10 B a \right) \left(b x +a \right)^{\frac{9}{2}}}{256 a^{4}}+\left(-\frac{7 A b}{256}+\frac{5 B a}{128}\right) \sqrt{b x +a}}{b^{5} x^{5}}\right) b^{4}"," ",0,"2*b^4*((1/256*(7*A*b-10*B*a)/a^4*(b*x+a)^(9/2)-7/384/a^3*(7*A*b-10*B*a)*(b*x+a)^(7/2)+1/30/a^2*(7*A*b-10*B*a)*(b*x+a)^(5/2)-1/384*(79*A*b-58*B*a)/a*(b*x+a)^(3/2)+(-7/256*A*b+5/128*B*a)*(b*x+a)^(1/2))/x^5/b^5-1/256*(7*A*b-10*B*a)/a^(9/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
398,1,119,127,0.007000," ","int(x^4*(b*x+a)^(3/2)*(B*x+A),x)","\frac{2 \left(b x +a \right)^{\frac{5}{2}} \left(3003 B \,b^{5} x^{5}+3465 A \,b^{5} x^{4}-2310 B a \,b^{4} x^{4}-2520 A a \,b^{4} x^{3}+1680 B \,a^{2} b^{3} x^{3}+1680 A \,a^{2} b^{3} x^{2}-1120 B \,a^{3} b^{2} x^{2}-960 A \,a^{3} b^{2} x +640 B \,a^{4} b x +384 A \,a^{4} b -256 B \,a^{5}\right)}{45045 b^{6}}"," ",0,"2/45045*(b*x+a)^(5/2)*(3003*B*b^5*x^5+3465*A*b^5*x^4-2310*B*a*b^4*x^4-2520*A*a*b^4*x^3+1680*B*a^2*b^3*x^3+1680*A*a^2*b^3*x^2-1120*B*a^3*b^2*x^2-960*A*a^3*b^2*x+640*B*a^4*b*x+384*A*a^4*b-256*B*a^5)/b^6","A"
399,1,95,102,0.006000," ","int(x^3*(b*x+a)^(3/2)*(B*x+A),x)","-\frac{2 \left(b x +a \right)^{\frac{5}{2}} \left(-1155 B \,x^{4} b^{4}-1365 A \,b^{4} x^{3}+840 B a \,b^{3} x^{3}+910 A a \,b^{3} x^{2}-560 B \,a^{2} b^{2} x^{2}-520 A \,a^{2} b^{2} x +320 B \,a^{3} b x +208 A \,a^{3} b -128 B \,a^{4}\right)}{15015 b^{5}}"," ",0,"-2/15015*(b*x+a)^(5/2)*(-1155*B*b^4*x^4-1365*A*b^4*x^3+840*B*a*b^3*x^3+910*A*a*b^3*x^2-560*B*a^2*b^2*x^2-520*A*a^2*b^2*x+320*B*a^3*b*x+208*A*a^3*b-128*B*a^4)/b^5","A"
400,1,71,79,0.006000," ","int(x^2*(b*x+a)^(3/2)*(B*x+A),x)","\frac{2 \left(b x +a \right)^{\frac{5}{2}} \left(315 B \,b^{3} x^{3}+385 A \,b^{3} x^{2}-210 B a \,b^{2} x^{2}-220 A a \,b^{2} x +120 B \,a^{2} b x +88 A \,a^{2} b -48 B \,a^{3}\right)}{3465 b^{4}}"," ",0,"2/3465*(b*x+a)^(5/2)*(315*B*b^3*x^3+385*A*b^3*x^2-210*B*a*b^2*x^2-220*A*a*b^2*x+120*B*a^2*b*x+88*A*a^2*b-48*B*a^3)/b^4","A"
401,1,47,55,0.005000," ","int(x*(b*x+a)^(3/2)*(B*x+A),x)","-\frac{2 \left(b x +a \right)^{\frac{5}{2}} \left(-35 B \,b^{2} x^{2}-45 A \,b^{2} x +20 B a b x +18 A a b -8 B \,a^{2}\right)}{315 b^{3}}"," ",0,"-2/315*(b*x+a)^(5/2)*(-35*B*b^2*x^2-45*A*b^2*x+20*B*a*b*x+18*A*a*b-8*B*a^2)/b^3","A"
402,1,27,34,0.004000," ","int((b*x+a)^(3/2)*(B*x+A),x)","\frac{2 \left(b x +a \right)^{\frac{5}{2}} \left(5 B b x +7 A b -2 B a \right)}{35 b^{2}}"," ",0,"2/35*(b*x+a)^(5/2)*(5*B*b*x+7*A*b-2*B*a)/b^2","A"
403,1,58,53,0.008000," ","int((b*x+a)^(3/2)*(B*x+A)/x,x)","\frac{-2 A \,a^{\frac{3}{2}} b \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)+2 \sqrt{b x +a}\, A a b +\frac{2 \left(b x +a \right)^{\frac{3}{2}} A b}{3}+\frac{2 \left(b x +a \right)^{\frac{5}{2}} B}{5}}{b}"," ",0,"2/b*(1/5*B*(b*x+a)^(5/2)+1/3*A*b*(b*x+a)^(3/2)+a*b*A*(b*x+a)^(1/2)-A*a^(3/2)*b*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
404,1,77,81,0.015000," ","int((b*x+a)^(3/2)*(B*x+A)/x^2,x)","2 \sqrt{b x +a}\, A b +2 \sqrt{b x +a}\, B a +\frac{2 \left(b x +a \right)^{\frac{3}{2}} B}{3}+2 \left(-\frac{\left(3 A b +2 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{2 \sqrt{a}}-\frac{\sqrt{b x +a}\, A}{2 x}\right) a"," ",0,"2/3*(b*x+a)^(3/2)*B+2*(b*x+a)^(1/2)*A*b+2*B*a*(b*x+a)^(1/2)+2*a*(-1/2*(b*x+a)^(1/2)*A/x-1/2*(3*A*b+2*B*a)/a^(1/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
405,1,84,87,0.014000," ","int((b*x+a)^(3/2)*(B*x+A)/x^3,x)","2 \left(\sqrt{b x +a}\, B -\frac{3 \left(A b +4 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{8 \sqrt{a}}+\frac{\left(-\frac{5 A b}{8}-\frac{B a}{2}\right) \left(b x +a \right)^{\frac{3}{2}}+\left(\frac{3}{8} A a b +\frac{1}{2} B \,a^{2}\right) \sqrt{b x +a}}{b^{2} x^{2}}\right) b"," ",0,"2*b*((b*x+a)^(1/2)*B+((-5/8*A*b-1/2*B*a)*(b*x+a)^(3/2)+(1/2*B*a^2+3/8*A*a*b)*(b*x+a)^(1/2))/x^2/b^2-3/8*(A*b+4*B*a)/a^(1/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
406,1,96,92,0.016000," ","int((b*x+a)^(3/2)*(B*x+A)/x^4,x)","2 \left(\frac{\left(A b -6 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{16 a^{\frac{3}{2}}}+\frac{-\frac{\left(A b +10 B a \right) \left(b x +a \right)^{\frac{5}{2}}}{16 a}+\left(-\frac{A b}{6}+B a \right) \left(b x +a \right)^{\frac{3}{2}}+\left(\frac{1}{16} A a b -\frac{3}{8} B \,a^{2}\right) \sqrt{b x +a}}{b^{3} x^{3}}\right) b^{2}"," ",0,"2*b^2*((-1/16*(A*b+10*B*a)/a*(b*x+a)^(5/2)+(-1/6*A*b+B*a)*(b*x+a)^(3/2)+(-3/8*B*a^2+1/16*A*a*b)*(b*x+a)^(1/2))/x^3/b^3+1/16*(A*b-6*B*a)/a^(3/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
407,1,119,122,0.016000," ","int((b*x+a)^(3/2)*(B*x+A)/x^5,x)","2 \left(-\frac{\left(3 A b -8 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{128 a^{\frac{5}{2}}}+\frac{\frac{\left(3 A b -8 B a \right) \sqrt{b x +a}\, a}{128}-\frac{\left(33 A b +40 B a \right) \left(b x +a \right)^{\frac{5}{2}}}{384 a}+\frac{\left(3 A b -8 B a \right) \left(b x +a \right)^{\frac{7}{2}}}{128 a^{2}}+\left(-\frac{11 A b}{128}+\frac{11 B a}{48}\right) \left(b x +a \right)^{\frac{3}{2}}}{b^{4} x^{4}}\right) b^{3}"," ",0,"2*b^3*((1/128*(3*A*b-8*B*a)/a^2*(b*x+a)^(7/2)-1/384*(33*A*b+40*B*a)/a*(b*x+a)^(5/2)+(-11/128*A*b+11/48*B*a)*(b*x+a)^(3/2)+1/128*a*(3*A*b-8*B*a)*(b*x+a)^(1/2))/x^4/b^4-1/128*(3*A*b-8*B*a)/a^(5/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
408,1,129,144,0.016000," ","int((b*x+a)^(3/2)*(B*x+A)/x^6,x)","2 \left(\frac{3 \left(A b -2 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{256 a^{\frac{7}{2}}}+\frac{-\frac{\left(b x +a \right)^{\frac{5}{2}} A b}{10 a}+\frac{3 \left(A b -2 B a \right) \sqrt{b x +a}\, a}{256}+\frac{7 \left(A b -2 B a \right) \left(b x +a \right)^{\frac{7}{2}}}{128 a^{2}}-\frac{3 \left(A b -2 B a \right) \left(b x +a \right)^{\frac{9}{2}}}{256 a^{3}}+\left(-\frac{7 A b}{128}+\frac{7 B a}{64}\right) \left(b x +a \right)^{\frac{3}{2}}}{b^{5} x^{5}}\right) b^{4}"," ",0,"2*b^4*((-3/256*(A*b-2*B*a)/a^3*(b*x+a)^(9/2)+7/128*(A*b-2*B*a)/a^2*(b*x+a)^(7/2)-1/10*A*b/a*(b*x+a)^(5/2)+(-7/128*A*b+7/64*B*a)*(b*x+a)^(3/2)+3/256*a*(A*b-2*B*a)*(b*x+a)^(1/2))/x^5/b^5+3/256*(A*b-2*B*a)/a^(7/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
409,1,161,176,0.017000," ","int((b*x+a)^(3/2)*(B*x+A)/x^7,x)","2 \left(-\frac{\left(7 A b -12 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{1024 a^{\frac{9}{2}}}+\frac{\frac{\left(7 A b -12 B a \right) \sqrt{b x +a}\, a}{1024}-\frac{\left(281 A b -116 B a \right) \left(b x +a \right)^{\frac{5}{2}}}{2560 a}+\frac{33 \left(7 A b -12 B a \right) \left(b x +a \right)^{\frac{7}{2}}}{2560 a^{2}}-\frac{17 \left(7 A b -12 B a \right) \left(b x +a \right)^{\frac{9}{2}}}{3072 a^{3}}+\frac{\left(7 A b -12 B a \right) \left(b x +a \right)^{\frac{11}{2}}}{1024 a^{4}}+\left(-\frac{119 A b}{3072}+\frac{17 B a}{256}\right) \left(b x +a \right)^{\frac{3}{2}}}{b^{6} x^{6}}\right) b^{5}"," ",0,"2*b^5*((1/1024*(7*A*b-12*B*a)/a^4*(b*x+a)^(11/2)-17/3072/a^3*(7*A*b-12*B*a)*(b*x+a)^(9/2)+33/2560/a^2*(7*A*b-12*B*a)*(b*x+a)^(7/2)-1/2560*(281*A*b-116*B*a)/a*(b*x+a)^(5/2)+(-119/3072*A*b+17/256*B*a)*(b*x+a)^(3/2)+1/1024*a*(7*A*b-12*B*a)*(b*x+a)^(1/2))/x^6/b^6-1/1024*(7*A*b-12*B*a)/a^(9/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
410,1,119,127,0.007000," ","int(x^4*(b*x+a)^(5/2)*(B*x+A),x)","\frac{2 \left(b x +a \right)^{\frac{7}{2}} \left(45045 B \,b^{5} x^{5}+51051 A \,b^{5} x^{4}-30030 B a \,b^{4} x^{4}-31416 A a \,b^{4} x^{3}+18480 B \,a^{2} b^{3} x^{3}+17136 A \,a^{2} b^{3} x^{2}-10080 B \,a^{3} b^{2} x^{2}-7616 A \,a^{3} b^{2} x +4480 B \,a^{4} b x +2176 A \,a^{4} b -1280 B \,a^{5}\right)}{765765 b^{6}}"," ",0,"2/765765*(b*x+a)^(7/2)*(45045*B*b^5*x^5+51051*A*b^5*x^4-30030*B*a*b^4*x^4-31416*A*a*b^4*x^3+18480*B*a^2*b^3*x^3+17136*A*a^2*b^3*x^2-10080*B*a^3*b^2*x^2-7616*A*a^3*b^2*x+4480*B*a^4*b*x+2176*A*a^4*b-1280*B*a^5)/b^6","A"
411,1,95,102,0.007000," ","int(x^3*(b*x+a)^(5/2)*(B*x+A),x)","-\frac{2 \left(b x +a \right)^{\frac{7}{2}} \left(-3003 B \,x^{4} b^{4}-3465 A \,b^{4} x^{3}+1848 B a \,b^{3} x^{3}+1890 A a \,b^{3} x^{2}-1008 B \,a^{2} b^{2} x^{2}-840 A \,a^{2} b^{2} x +448 B \,a^{3} b x +240 A \,a^{3} b -128 B \,a^{4}\right)}{45045 b^{5}}"," ",0,"-2/45045*(b*x+a)^(7/2)*(-3003*B*b^4*x^4-3465*A*b^4*x^3+1848*B*a*b^3*x^3+1890*A*a*b^3*x^2-1008*B*a^2*b^2*x^2-840*A*a^2*b^2*x+448*B*a^3*b*x+240*A*a^3*b-128*B*a^4)/b^5","A"
412,1,71,79,0.006000," ","int(x^2*(b*x+a)^(5/2)*(B*x+A),x)","\frac{2 \left(b x +a \right)^{\frac{7}{2}} \left(693 B \,b^{3} x^{3}+819 A \,b^{3} x^{2}-378 B a \,b^{2} x^{2}-364 A a \,b^{2} x +168 B \,a^{2} b x +104 A \,a^{2} b -48 B \,a^{3}\right)}{9009 b^{4}}"," ",0,"2/9009*(b*x+a)^(7/2)*(693*B*b^3*x^3+819*A*b^3*x^2-378*B*a*b^2*x^2-364*A*a*b^2*x+168*B*a^2*b*x+104*A*a^2*b-48*B*a^3)/b^4","A"
413,1,47,55,0.004000," ","int(x*(b*x+a)^(5/2)*(B*x+A),x)","-\frac{2 \left(b x +a \right)^{\frac{7}{2}} \left(-63 B \,b^{2} x^{2}-77 A \,b^{2} x +28 B a b x +22 A a b -8 B \,a^{2}\right)}{693 b^{3}}"," ",0,"-2/693*(b*x+a)^(7/2)*(-63*B*b^2*x^2-77*A*b^2*x+28*B*a*b*x+22*A*a*b-8*B*a^2)/b^3","A"
414,1,27,34,0.005000," ","int((b*x+a)^(5/2)*(B*x+A),x)","\frac{2 \left(b x +a \right)^{\frac{7}{2}} \left(7 B b x +9 A b -2 B a \right)}{63 b^{2}}"," ",0,"2/63*(b*x+a)^(7/2)*(7*B*b*x+9*A*b-2*B*a)/b^2","A"
415,1,72,66,0.008000," ","int((b*x+a)^(5/2)*(B*x+A)/x,x)","\frac{-2 A \,a^{\frac{5}{2}} b \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)+2 \sqrt{b x +a}\, A \,a^{2} b +\frac{2 \left(b x +a \right)^{\frac{3}{2}} A a b}{3}+\frac{2 \left(b x +a \right)^{\frac{5}{2}} A b}{5}+\frac{2 \left(b x +a \right)^{\frac{7}{2}} B}{7}}{b}"," ",0,"2/b*(1/7*B*(b*x+a)^(7/2)+1/5*A*b*(b*x+a)^(5/2)+1/3*A*a*b*(b*x+a)^(3/2)+a^2*b*A*(b*x+a)^(1/2)-A*a^(5/2)*b*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
416,1,104,100,0.013000," ","int((b*x+a)^(5/2)*(B*x+A)/x^2,x)","4 \sqrt{b x +a}\, A a b +2 \sqrt{b x +a}\, B \,a^{2}+\frac{2 \left(b x +a \right)^{\frac{3}{2}} A b}{3}+\frac{2 \left(b x +a \right)^{\frac{3}{2}} B a}{3}+2 \left(-\frac{\left(5 A b +2 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{2 \sqrt{a}}-\frac{\sqrt{b x +a}\, A}{2 x}\right) a^{2}+\frac{2 \left(b x +a \right)^{\frac{5}{2}} B}{5}"," ",0,"2/5*(b*x+a)^(5/2)*B+2/3*(b*x+a)^(3/2)*A*b+2/3*B*(b*x+a)^(3/2)*a+4*(b*x+a)^(1/2)*A*a*b+2*a^2*B*(b*x+a)^(1/2)+2*a^2*(-1/2*(b*x+a)^(1/2)*A/x-1/2*(5*A*b+2*B*a)/a^(1/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
417,1,110,109,0.015000," ","int((b*x+a)^(5/2)*(B*x+A)/x^3,x)","2 \left(\sqrt{b x +a}\, A b +2 \sqrt{b x +a}\, B a +\frac{\left(b x +a \right)^{\frac{3}{2}} B}{3}+\left(-\frac{5 \left(3 A b +4 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{8 \sqrt{a}}+\frac{\left(-\frac{9 A b}{8}-\frac{B a}{2}\right) \left(b x +a \right)^{\frac{3}{2}}+\left(\frac{7}{8} A a b +\frac{1}{2} B \,a^{2}\right) \sqrt{b x +a}}{b^{2} x^{2}}\right) a \right) b"," ",0,"2*b*(1/3*(b*x+a)^(3/2)*B+(b*x+a)^(1/2)*A*b+2*(b*x+a)^(1/2)*B*a+a*(((-9/8*A*b-1/2*B*a)*(b*x+a)^(3/2)+(7/8*A*a*b+1/2*B*a^2)*(b*x+a)^(1/2))/x^2/b^2-5/8*(3*A*b+4*B*a)/a^(1/2)*arctanh((b*x+a)^(1/2)/a^(1/2))))","A"
418,1,108,115,0.017000," ","int((b*x+a)^(5/2)*(B*x+A)/x^4,x)","2 \left(\sqrt{b x +a}\, B -\frac{5 \left(A b +6 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{16 \sqrt{a}}+\frac{\left(-\frac{11 A b}{16}-\frac{9 B a}{8}\right) \left(b x +a \right)^{\frac{5}{2}}+\left(\frac{5}{6} A a b +2 B \,a^{2}\right) \left(b x +a \right)^{\frac{3}{2}}+\left(-\frac{5}{16} A \,a^{2} b -\frac{7}{8} B \,a^{3}\right) \sqrt{b x +a}}{b^{3} x^{3}}\right) b^{2}"," ",0,"2*b^2*((b*x+a)^(1/2)*B+((-11/16*A*b-9/8*B*a)*(b*x+a)^(5/2)+(5/6*A*a*b+2*B*a^2)*(b*x+a)^(3/2)+(-7/8*B*a^3-5/16*A*a^2*b)*(b*x+a)^(1/2))/x^3/b^3-5/16*(A*b+6*B*a)/a^(1/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
419,1,118,118,0.017000," ","int((b*x+a)^(5/2)*(B*x+A)/x^5,x)","2 \left(\frac{5 \left(A b -8 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{128 a^{\frac{3}{2}}}+\frac{\frac{55 \left(A b -8 B a \right) \left(b x +a \right)^{\frac{3}{2}} a}{384}-\frac{\left(5 A b +88 B a \right) \left(b x +a \right)^{\frac{7}{2}}}{128 a}+\left(-\frac{73 A b}{384}+\frac{73 B a}{48}\right) \left(b x +a \right)^{\frac{5}{2}}+\left(-\frac{5}{128} A \,a^{2} b +\frac{5}{16} B \,a^{3}\right) \sqrt{b x +a}}{b^{4} x^{4}}\right) b^{3}"," ",0,"2*b^3*((-1/128*(5*A*b+88*B*a)/a*(b*x+a)^(7/2)+(73/48*B*a-73/384*A*b)*(b*x+a)^(5/2)+55/384*a*(A*b-8*B*a)*(b*x+a)^(3/2)+(5/16*B*a^3-5/128*A*a^2*b)*(b*x+a)^(1/2))/x^4/b^4+5/128*(A*b-8*B*a)/a^(3/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
420,1,140,149,0.017000," ","int((b*x+a)^(5/2)*(B*x+A)/x^6,x)","2 \left(-\frac{\left(3 A b -10 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{256 a^{\frac{5}{2}}}+\frac{-\frac{\left(3 A b -10 B a \right) \sqrt{b x +a}\, a^{2}}{256}+\frac{7 \left(3 A b -10 B a \right) \left(b x +a \right)^{\frac{3}{2}} a}{384}-\frac{\left(21 A b +58 B a \right) \left(b x +a \right)^{\frac{7}{2}}}{384 a}+\frac{\left(3 A b -10 B a \right) \left(b x +a \right)^{\frac{9}{2}}}{256 a^{2}}+\left(-\frac{A b}{10}+\frac{B a}{3}\right) \left(b x +a \right)^{\frac{5}{2}}}{b^{5} x^{5}}\right) b^{4}"," ",0,"2*b^4*((1/256*(3*A*b-10*B*a)/a^2*(b*x+a)^(9/2)-1/384*(21*A*b+58*B*a)/a*(b*x+a)^(7/2)+(-1/10*A*b+1/3*B*a)*(b*x+a)^(5/2)+7/384*a*(3*A*b-10*B*a)*(b*x+a)^(3/2)-1/256*a^2*(3*A*b-10*B*a)*(b*x+a)^(1/2))/x^5/b^5-1/256*(3*A*b-10*B*a)/a^(5/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
421,1,161,176,0.017000," ","int((b*x+a)^(5/2)*(B*x+A)/x^7,x)","2 \left(\frac{\left(5 A b -12 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{1024 a^{\frac{7}{2}}}+\frac{-\frac{\left(5 A b -12 B a \right) \sqrt{b x +a}\, a^{2}}{1024}+\frac{17 \left(5 A b -12 B a \right) \left(b x +a \right)^{\frac{3}{2}} a}{3072}-\frac{\left(165 A b +116 B a \right) \left(b x +a \right)^{\frac{7}{2}}}{2560 a}+\frac{17 \left(5 A b -12 B a \right) \left(b x +a \right)^{\frac{9}{2}}}{3072 a^{2}}-\frac{\left(5 A b -12 B a \right) \left(b x +a \right)^{\frac{11}{2}}}{1024 a^{3}}+\left(-\frac{33 A b}{512}+\frac{99 B a}{640}\right) \left(b x +a \right)^{\frac{5}{2}}}{b^{6} x^{6}}\right) b^{5}"," ",0,"2*b^5*((-1/1024*(5*A*b-12*B*a)/a^3*(b*x+a)^(11/2)+17/3072/a^2*(5*A*b-12*B*a)*(b*x+a)^(9/2)-1/2560*(165*A*b+116*B*a)/a*(b*x+a)^(7/2)+(-33/512*A*b+99/640*B*a)*(b*x+a)^(5/2)+17/3072*a*(5*A*b-12*B*a)*(b*x+a)^(3/2)-1/1024*a^2*(5*A*b-12*B*a)*(b*x+a)^(1/2))/x^6/b^6+1/1024*(5*A*b-12*B*a)/a^(7/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
422,1,169,196,0.019000," ","int((b*x+a)^(5/2)*(B*x+A)/x^8,x)","2 \left(-\frac{5 \left(A b -2 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{2048 a^{\frac{9}{2}}}+\frac{-\frac{5 \left(A b -2 B a \right) \sqrt{b x +a}\, a^{2}}{2048}-\frac{\left(b x +a \right)^{\frac{7}{2}} A b}{14 a}+\frac{25 \left(A b -2 B a \right) \left(b x +a \right)^{\frac{3}{2}} a}{1536}+\frac{283 \left(A b -2 B a \right) \left(b x +a \right)^{\frac{9}{2}}}{6144 a^{2}}-\frac{25 \left(A b -2 B a \right) \left(b x +a \right)^{\frac{11}{2}}}{1536 a^{3}}+\frac{5 \left(A b -2 B a \right) \left(b x +a \right)^{\frac{13}{2}}}{2048 a^{4}}+\left(-\frac{283 A b}{6144}+\frac{283 B a}{3072}\right) \left(b x +a \right)^{\frac{5}{2}}}{b^{7} x^{7}}\right) b^{6}"," ",0,"2*b^6*((5/2048*(A*b-2*B*a)/a^4*(b*x+a)^(13/2)-25/1536*(A*b-2*B*a)/a^3*(b*x+a)^(11/2)+283/6144*(A*b-2*B*a)/a^2*(b*x+a)^(9/2)-1/14*A*b/a*(b*x+a)^(7/2)+(-283/6144*A*b+283/3072*B*a)*(b*x+a)^(5/2)+25/1536*a*(A*b-2*B*a)*(b*x+a)^(3/2)-5/2048*a^2*(A*b-2*B*a)*(b*x+a)^(1/2))/x^7/b^7-5/2048*(A*b-2*B*a)/a^(9/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
423,1,119,127,0.008000," ","int(x^4*(B*x+A)/(b*x+a)^(1/2),x)","\frac{2 \sqrt{b x +a}\, \left(315 B \,b^{5} x^{5}+385 A \,b^{5} x^{4}-350 B a \,b^{4} x^{4}-440 A a \,b^{4} x^{3}+400 B \,a^{2} b^{3} x^{3}+528 A \,a^{2} b^{3} x^{2}-480 B \,a^{3} b^{2} x^{2}-704 A \,a^{3} b^{2} x +640 B \,a^{4} b x +1408 A \,a^{4} b -1280 B \,a^{5}\right)}{3465 b^{6}}"," ",0,"2/3465*(b*x+a)^(1/2)*(315*B*b^5*x^5+385*A*b^5*x^4-350*B*a*b^4*x^4-440*A*a*b^4*x^3+400*B*a^2*b^3*x^3+528*A*a^2*b^3*x^2-480*B*a^3*b^2*x^2-704*A*a^3*b^2*x+640*B*a^4*b*x+1408*A*a^4*b-1280*B*a^5)/b^6","A"
424,1,95,102,0.007000," ","int(x^3*(B*x+A)/(b*x+a)^(1/2),x)","-\frac{2 \sqrt{b x +a}\, \left(-35 B \,x^{4} b^{4}-45 A \,b^{4} x^{3}+40 B a \,b^{3} x^{3}+54 A a \,b^{3} x^{2}-48 B \,a^{2} b^{2} x^{2}-72 A \,a^{2} b^{2} x +64 B \,a^{3} b x +144 A \,a^{3} b -128 B \,a^{4}\right)}{315 b^{5}}"," ",0,"-2/315*(b*x+a)^(1/2)*(-35*B*b^4*x^4-45*A*b^4*x^3+40*B*a*b^3*x^3+54*A*a*b^3*x^2-48*B*a^2*b^2*x^2-72*A*a^2*b^2*x+64*B*a^3*b*x+144*A*a^3*b-128*B*a^4)/b^5","A"
425,1,71,79,0.006000," ","int(x^2*(B*x+A)/(b*x+a)^(1/2),x)","\frac{2 \sqrt{b x +a}\, \left(15 B \,b^{3} x^{3}+21 A \,b^{3} x^{2}-18 B a \,b^{2} x^{2}-28 A a \,b^{2} x +24 B \,a^{2} b x +56 A \,a^{2} b -48 B \,a^{3}\right)}{105 b^{4}}"," ",0,"2/105*(b*x+a)^(1/2)*(15*B*b^3*x^3+21*A*b^3*x^2-18*B*a*b^2*x^2-28*A*a*b^2*x+24*B*a^2*b*x+56*A*a^2*b-48*B*a^3)/b^4","A"
426,1,47,55,0.004000," ","int(x*(B*x+A)/(b*x+a)^(1/2),x)","-\frac{2 \sqrt{b x +a}\, \left(-3 B \,b^{2} x^{2}-5 A \,b^{2} x +4 B a b x +10 A a b -8 B \,a^{2}\right)}{15 b^{3}}"," ",0,"-2/15*(b*x+a)^(1/2)*(-3*B*b^2*x^2-5*A*b^2*x+4*B*a*b*x+10*A*a*b-8*B*a^2)/b^3","A"
427,1,26,34,0.004000," ","int((B*x+A)/(b*x+a)^(1/2),x)","\frac{2 \sqrt{b x +a}\, \left(B b x +3 A b -2 B a \right)}{3 b^{2}}"," ",0,"2/3*(b*x+a)^(1/2)*(B*b*x+3*A*b-2*B*a)/b^2","A"
428,1,35,32,0.007000," ","int((B*x+A)/x/(b*x+a)^(1/2),x)","\frac{-\frac{2 A b \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{\sqrt{a}}+2 \sqrt{b x +a}\, B}{b}"," ",0,"2/b*((b*x+a)^(1/2)*B-A*b/a^(1/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
429,1,42,41,0.013000," ","int((B*x+A)/x^2/(b*x+a)^(1/2),x)","\frac{\left(A b -2 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{a^{\frac{3}{2}}}-\frac{\sqrt{b x +a}\, A}{a x}"," ",0,"(A*b-2*B*a)*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(3/2)-A*(b*x+a)^(1/2)/a/x","A"
430,1,81,68,0.013000," ","int((B*x+A)/x^3/(b*x+a)^(1/2),x)","2 \left(-\frac{\left(3 A b -4 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{8 a^{\frac{5}{2}}}+\frac{-\frac{\left(5 A b -4 B a \right) \sqrt{b x +a}}{8 a}+\frac{\left(3 A b -4 B a \right) \left(b x +a \right)^{\frac{3}{2}}}{8 a^{2}}}{b^{2} x^{2}}\right) b"," ",0,"2*b*((1/8*(3*A*b-4*B*a)/a^2*(b*x+a)^(3/2)-1/8*(5*A*b-4*B*a)/a*(b*x+a)^(1/2))/x^2/b^2-1/8*(3*A*b-4*B*a)/a^(5/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
431,1,104,95,0.013000," ","int((B*x+A)/x^4/(b*x+a)^(1/2),x)","2 \left(\frac{\left(5 A b -6 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{16 a^{\frac{7}{2}}}+\frac{-\frac{\left(11 A b -10 B a \right) \sqrt{b x +a}}{16 a}+\frac{\left(5 A b -6 B a \right) \left(b x +a \right)^{\frac{3}{2}}}{6 a^{2}}-\frac{\left(5 A b -6 B a \right) \left(b x +a \right)^{\frac{5}{2}}}{16 a^{3}}}{b^{3} x^{3}}\right) b^{2}"," ",0,"2*b^2*((-1/16*(5*A*b-6*B*a)/a^3*(b*x+a)^(5/2)+1/6/a^2*(5*A*b-6*B*a)*(b*x+a)^(3/2)-1/16*(11*A*b-10*B*a)/a*(b*x+a)^(1/2))/x^3/b^3+1/16*(5*A*b-6*B*a)/a^(7/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
432,1,125,122,0.017000," ","int((B*x+A)/x^5/(b*x+a)^(1/2),x)","2 \left(-\frac{5 \left(7 A b -8 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{128 a^{\frac{9}{2}}}+\frac{-\frac{\left(93 A b -88 B a \right) \sqrt{b x +a}}{128 a}+\frac{73 \left(7 A b -8 B a \right) \left(b x +a \right)^{\frac{3}{2}}}{384 a^{2}}-\frac{55 \left(7 A b -8 B a \right) \left(b x +a \right)^{\frac{5}{2}}}{384 a^{3}}+\frac{5 \left(7 A b -8 B a \right) \left(b x +a \right)^{\frac{7}{2}}}{128 a^{4}}}{b^{4} x^{4}}\right) b^{3}"," ",0,"2*b^3*((5/128*(7*A*b-8*B*a)/a^4*(b*x+a)^(7/2)-55/384/a^3*(7*A*b-8*B*a)*(b*x+a)^(5/2)+73/384/a^2*(7*A*b-8*B*a)*(b*x+a)^(3/2)-1/128*(93*A*b-88*B*a)/a*(b*x+a)^(1/2))/x^4/b^4-5/128*(7*A*b-8*B*a)/a^(9/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
433,1,146,149,0.015000," ","int((B*x+A)/x^6/(b*x+a)^(1/2),x)","2 \left(\frac{7 \left(9 A b -10 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{256 a^{\frac{11}{2}}}+\frac{-\frac{\left(193 A b -186 B a \right) \sqrt{b x +a}}{256 a}+\frac{79 \left(9 A b -10 B a \right) \left(b x +a \right)^{\frac{3}{2}}}{384 a^{2}}-\frac{7 \left(9 A b -10 B a \right) \left(b x +a \right)^{\frac{5}{2}}}{30 a^{3}}+\frac{49 \left(9 A b -10 B a \right) \left(b x +a \right)^{\frac{7}{2}}}{384 a^{4}}-\frac{7 \left(9 A b -10 B a \right) \left(b x +a \right)^{\frac{9}{2}}}{256 a^{5}}}{b^{5} x^{5}}\right) b^{4}"," ",0,"2*b^4*((-7/256*(9*A*b-10*B*a)/a^5*(b*x+a)^(9/2)+49/384/a^4*(9*A*b-10*B*a)*(b*x+a)^(7/2)-7/30/a^3*(9*A*b-10*B*a)*(b*x+a)^(5/2)+79/384/a^2*(9*A*b-10*B*a)*(b*x+a)^(3/2)-1/256*(193*A*b-186*B*a)/a*(b*x+a)^(1/2))/x^5/b^5+7/256*(9*A*b-10*B*a)/a^(11/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
434,1,119,127,0.007000," ","int(x^4*(B*x+A)/(b*x+a)^(3/2),x)","-\frac{2 \left(-35 B \,b^{5} x^{5}-45 A \,b^{5} x^{4}+50 B a \,b^{4} x^{4}+72 A a \,b^{4} x^{3}-80 B \,a^{2} b^{3} x^{3}-144 A \,a^{2} b^{3} x^{2}+160 B \,a^{3} b^{2} x^{2}+576 A \,a^{3} b^{2} x -640 B \,a^{4} b x +1152 A \,a^{4} b -1280 B \,a^{5}\right)}{315 \sqrt{b x +a}\, b^{6}}"," ",0,"-2/315/(b*x+a)^(1/2)*(-35*B*b^5*x^5-45*A*b^5*x^4+50*B*a*b^4*x^4+72*A*a*b^4*x^3-80*B*a^2*b^3*x^3-144*A*a^2*b^3*x^2+160*B*a^3*b^2*x^2+576*A*a^3*b^2*x-640*B*a^4*b*x+1152*A*a^4*b-1280*B*a^5)/b^6","A"
435,1,95,102,0.006000," ","int(x^3*(B*x+A)/(b*x+a)^(3/2),x)","\frac{\frac{2}{7} B \,x^{4} b^{4}+\frac{2}{5} A \,b^{4} x^{3}-\frac{16}{35} B a \,b^{3} x^{3}-\frac{4}{5} A a \,b^{3} x^{2}+\frac{32}{35} B \,a^{2} b^{2} x^{2}+\frac{16}{5} A \,a^{2} b^{2} x -\frac{128}{35} B \,a^{3} b x +\frac{32}{5} A \,a^{3} b -\frac{256}{35} B \,a^{4}}{\sqrt{b x +a}\, b^{5}}"," ",0,"2/35/(b*x+a)^(1/2)*(5*B*b^4*x^4+7*A*b^4*x^3-8*B*a*b^3*x^3-14*A*a*b^3*x^2+16*B*a^2*b^2*x^2+56*A*a^2*b^2*x-64*B*a^3*b*x+112*A*a^3*b-128*B*a^4)/b^5","A"
436,1,71,79,0.007000," ","int(x^2*(B*x+A)/(b*x+a)^(3/2),x)","-\frac{2 \left(-3 B \,b^{3} x^{3}-5 A \,b^{3} x^{2}+6 B a \,b^{2} x^{2}+20 A a \,b^{2} x -24 B \,a^{2} b x +40 A \,a^{2} b -48 B \,a^{3}\right)}{15 \sqrt{b x +a}\, b^{4}}"," ",0,"-2/15/(b*x+a)^(1/2)*(-3*B*b^3*x^3-5*A*b^3*x^2+6*B*a*b^2*x^2+20*A*a*b^2*x-24*B*a^2*b*x+40*A*a^2*b-48*B*a^3)/b^4","A"
437,1,46,55,0.004000," ","int(x*(B*x+A)/(b*x+a)^(3/2),x)","\frac{\frac{2}{3} B \,b^{2} x^{2}+2 A \,b^{2} x -\frac{8}{3} B a b x +4 A a b -\frac{16}{3} B \,a^{2}}{\sqrt{b x +a}\, b^{3}}"," ",0,"2/3/(b*x+a)^(1/2)*(B*b^2*x^2+3*A*b^2*x-4*B*a*b*x+6*A*a*b-8*B*a^2)/b^3","A"
438,1,26,34,0.003000," ","int((B*x+A)/(b*x+a)^(3/2),x)","-\frac{2 \left(-B b x +A b -2 B a \right)}{\sqrt{b x +a}\, b^{2}}"," ",0,"-2/(b*x+a)^(1/2)*(-B*b*x+A*b-2*B*a)/b^2","A"
439,1,46,42,0.009000," ","int((B*x+A)/x/(b*x+a)^(3/2),x)","\frac{-\frac{2 A b \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{a^{\frac{3}{2}}}-\frac{2 \left(-A b +B a \right)}{\sqrt{b x +a}\, a}}{b}"," ",0,"2/b*(-(-A*b+B*a)/a/(b*x+a)^(1/2)-A*b/a^(3/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
440,1,67,62,0.017000," ","int((B*x+A)/x^2/(b*x+a)^(3/2),x)","-\frac{2 \left(A b -B a \right)}{\sqrt{b x +a}\, a^{2}}-\frac{2 \left(-\frac{\left(3 A b -2 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{2 \sqrt{a}}+\frac{\sqrt{b x +a}\, A}{2 x}\right)}{a^{2}}"," ",0,"-2*(A*b-B*a)/a^2/(b*x+a)^(1/2)-2/a^2*(1/2*(b*x+a)^(1/2)*A/x-1/2*(3*A*b-2*B*a)/a^(1/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
441,1,101,90,0.016000," ","int((B*x+A)/x^3/(b*x+a)^(3/2),x)","2 \left(-\frac{-A b +B a}{\sqrt{b x +a}\, a^{3}}+\frac{-\frac{3 \left(5 A b -4 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{8 \sqrt{a}}+\frac{\left(\frac{7 A b}{8}-\frac{B a}{2}\right) \left(b x +a \right)^{\frac{3}{2}}+\left(-\frac{9}{8} A a b +\frac{1}{2} B \,a^{2}\right) \sqrt{b x +a}}{b^{2} x^{2}}}{a^{3}}\right) b"," ",0,"2*b*(-1/a^3*(-A*b+B*a)/(b*x+a)^(1/2)+1/a^3*(((7/8*A*b-1/2*B*a)*(b*x+a)^(3/2)+(-9/8*A*a*b+1/2*B*a^2)*(b*x+a)^(1/2))/x^2/b^2-3/8*(5*A*b-4*B*a)/a^(1/2)*arctanh((b*x+a)^(1/2)/a^(1/2))))","A"
442,1,126,119,0.018000," ","int((B*x+A)/x^4/(b*x+a)^(3/2),x)","2 \left(-\frac{A b -B a}{\sqrt{b x +a}\, a^{4}}-\frac{-\frac{5 \left(7 A b -6 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{16 \sqrt{a}}+\frac{\left(\frac{19 A b}{16}-\frac{7 B a}{8}\right) \left(b x +a \right)^{\frac{5}{2}}+\left(-\frac{17}{6} A a b +2 B \,a^{2}\right) \left(b x +a \right)^{\frac{3}{2}}+\left(\frac{29}{16} A \,a^{2} b -\frac{9}{8} B \,a^{3}\right) \sqrt{b x +a}}{b^{3} x^{3}}}{a^{4}}\right) b^{2}"," ",0,"2*b^2*(-(A*b-B*a)/a^4/(b*x+a)^(1/2)-1/a^4*(((19/16*A*b-7/8*B*a)*(b*x+a)^(5/2)+(-17/6*A*a*b+2*B*a^2)*(b*x+a)^(3/2)+(29/16*A*a^2*b-9/8*B*a^3)*(b*x+a)^(1/2))/x^3/b^3-5/16*(7*A*b-6*B*a)/a^(1/2)*arctanh((b*x+a)^(1/2)/a^(1/2))))","A"
443,1,147,146,0.020000," ","int((B*x+A)/x^5/(b*x+a)^(3/2),x)","2 \left(-\frac{-A b +B a}{\sqrt{b x +a}\, a^{5}}+\frac{-\frac{35 \left(9 A b -8 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{128 \sqrt{a}}+\frac{\left(\frac{187 A b}{128}-\frac{19 B a}{16}\right) \left(b x +a \right)^{\frac{7}{2}}+\left(-\frac{643}{128} A a b +\frac{193}{48} B \,a^{2}\right) \left(b x +a \right)^{\frac{5}{2}}+\left(\frac{765}{128} A \,a^{2} b -\frac{223}{48} B \,a^{3}\right) \left(b x +a \right)^{\frac{3}{2}}+\left(-\frac{325}{128} A \,a^{3} b +\frac{29}{16} B \,a^{4}\right) \sqrt{b x +a}}{b^{4} x^{4}}}{a^{5}}\right) b^{3}"," ",0,"2*b^3*(-1/a^5*(-A*b+B*a)/(b*x+a)^(1/2)+1/a^5*(((187/128*A*b-19/16*B*a)*(b*x+a)^(7/2)+(-643/128*A*a*b+193/48*B*a^2)*(b*x+a)^(5/2)+(765/128*A*a^2*b-223/48*B*a^3)*(b*x+a)^(3/2)+(-325/128*A*a^3*b+29/16*B*a^4)*(b*x+a)^(1/2))/x^4/b^4-35/128*(9*A*b-8*B*a)/a^(1/2)*arctanh((b*x+a)^(1/2)/a^(1/2))))","A"
444,1,119,127,0.007000," ","int(x^4*(B*x+A)/(b*x+a)^(5/2),x)","\frac{\frac{2}{7} B \,b^{5} x^{5}+\frac{2}{5} A \,b^{5} x^{4}-\frac{4}{7} B a \,b^{4} x^{4}-\frac{16}{15} A a \,b^{4} x^{3}+\frac{32}{21} B \,a^{2} b^{3} x^{3}+\frac{32}{5} A \,a^{2} b^{3} x^{2}-\frac{64}{7} B \,a^{3} b^{2} x^{2}+\frac{128}{5} A \,a^{3} b^{2} x -\frac{256}{7} B \,a^{4} b x +\frac{256}{15} A \,a^{4} b -\frac{512}{21} B \,a^{5}}{\left(b x +a \right)^{\frac{3}{2}} b^{6}}"," ",0,"2/105/(b*x+a)^(3/2)*(15*B*b^5*x^5+21*A*b^5*x^4-30*B*a*b^4*x^4-56*A*a*b^4*x^3+80*B*a^2*b^3*x^3+336*A*a^2*b^3*x^2-480*B*a^3*b^2*x^2+1344*A*a^3*b^2*x-1920*B*a^4*b*x+896*A*a^4*b-1280*B*a^5)/b^6","A"
445,1,95,102,0.005000," ","int(x^3*(B*x+A)/(b*x+a)^(5/2),x)","-\frac{2 \left(-3 B \,x^{4} b^{4}-5 A \,b^{4} x^{3}+8 B a \,b^{3} x^{3}+30 A a \,b^{3} x^{2}-48 B \,a^{2} b^{2} x^{2}+120 A \,a^{2} b^{2} x -192 B \,a^{3} b x +80 A \,a^{3} b -128 B \,a^{4}\right)}{15 \left(b x +a \right)^{\frac{3}{2}} b^{5}}"," ",0,"-2/15/(b*x+a)^(3/2)*(-3*B*b^4*x^4-5*A*b^4*x^3+8*B*a*b^3*x^3+30*A*a*b^3*x^2-48*B*a^2*b^2*x^2+120*A*a^2*b^2*x-192*B*a^3*b*x+80*A*a^3*b-128*B*a^4)/b^5","A"
446,1,70,79,0.005000," ","int(x^2*(B*x+A)/(b*x+a)^(5/2),x)","\frac{\frac{2}{3} B \,b^{3} x^{3}+2 A \,b^{3} 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(b x +a \right)^{\frac{3}{2}} b^{4}}"," ",0,"2/3/(b*x+a)^(3/2)*(B*b^3*x^3+3*A*b^3*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)/b^4","A"
447,1,47,55,0.006000," ","int(x*(B*x+A)/(b*x+a)^(5/2),x)","-\frac{2 \left(-3 B \,b^{2} x^{2}+3 A \,b^{2} x -12 B a b x +2 A a b -8 B \,a^{2}\right)}{3 \left(b x +a \right)^{\frac{3}{2}} b^{3}}"," ",0,"-2/3/(b*x+a)^(3/2)*(-3*B*b^2*x^2+3*A*b^2*x-12*B*a*b*x+2*A*a*b-8*B*a^2)/b^3","A"
448,1,26,34,0.004000," ","int((B*x+A)/(b*x+a)^(5/2),x)","-\frac{2 \left(3 B b x +A b +2 B a \right)}{3 \left(b x +a \right)^{\frac{3}{2}} b^{2}}"," ",0,"-2/3/(b*x+a)^(3/2)*(3*B*b*x+A*b+2*B*a)/b^2","A"
449,1,59,55,0.012000," ","int((B*x+A)/x/(b*x+a)^(5/2),x)","\frac{-\frac{2 A b \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{a^{\frac{5}{2}}}+\frac{2 A b}{\sqrt{b x +a}\, a^{2}}-\frac{2 \left(-A b +B a \right)}{3 \left(b x +a \right)^{\frac{3}{2}} a}}{b}"," ",0,"2/b*(-1/3*(-A*b+B*a)/a/(b*x+a)^(3/2)+A*b/a^2/(b*x+a)^(1/2)-A*b/a^(5/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
450,1,88,83,0.019000," ","int((B*x+A)/x^2/(b*x+a)^(5/2),x)","-\frac{2 \left(A b -B a \right)}{3 \left(b x +a \right)^{\frac{3}{2}} a^{2}}-\frac{2 \left(2 A b -B a \right)}{\sqrt{b x +a}\, a^{3}}-\frac{2 \left(-\frac{\left(5 A b -2 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{2 \sqrt{a}}+\frac{\sqrt{b x +a}\, A}{2 x}\right)}{a^{3}}"," ",0,"-2/3*(A*b-B*a)/a^2/(b*x+a)^(3/2)-2*(2*A*b-B*a)/a^3/(b*x+a)^(1/2)-2/a^3*(1/2*(b*x+a)^(1/2)*A/x-1/2*(5*A*b-2*B*a)/a^(1/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
451,1,122,112,0.017000," ","int((B*x+A)/x^3/(b*x+a)^(5/2),x)","2 \left(-\frac{-A b +B a}{3 \left(b x +a \right)^{\frac{3}{2}} a^{3}}-\frac{-3 A b +2 B a}{\sqrt{b x +a}\, a^{4}}+\frac{-\frac{5 \left(7 A b -4 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{8 \sqrt{a}}+\frac{\left(\frac{11 A b}{8}-\frac{B a}{2}\right) \left(b x +a \right)^{\frac{3}{2}}+\left(-\frac{13}{8} A a b +\frac{1}{2} B \,a^{2}\right) \sqrt{b x +a}}{b^{2} x^{2}}}{a^{4}}\right) b"," ",0,"2*b*(-(-3*A*b+2*B*a)/a^4/(b*x+a)^(1/2)-1/3*(-A*b+B*a)/a^3/(b*x+a)^(3/2)+1/a^4*(((11/8*A*b-1/2*B*a)*(b*x+a)^(3/2)+(-13/8*A*a*b+1/2*B*a^2)*(b*x+a)^(1/2))/x^2/b^2-5/8*(7*A*b-4*B*a)/a^(1/2)*arctanh((b*x+a)^(1/2)/a^(1/2))))","A"
452,1,147,143,0.020000," ","int((B*x+A)/x^4/(b*x+a)^(5/2),x)","2 \left(-\frac{A b -B a}{3 \left(b x +a \right)^{\frac{3}{2}} a^{4}}-\frac{4 A b -3 B a}{\sqrt{b x +a}\, a^{5}}-\frac{-\frac{35 \left(3 A b -2 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{16 \sqrt{a}}+\frac{\left(\frac{41 A b}{16}-\frac{11 B a}{8}\right) \left(b x +a \right)^{\frac{5}{2}}+\left(-\frac{35}{6} A a b +3 B \,a^{2}\right) \left(b x +a \right)^{\frac{3}{2}}+\left(\frac{55}{16} A \,a^{2} b -\frac{13}{8} B \,a^{3}\right) \sqrt{b x +a}}{b^{3} x^{3}}}{a^{5}}\right) b^{2}"," ",0,"2*b^2*(-1/3*(A*b-B*a)/a^4/(b*x+a)^(3/2)-(4*A*b-3*B*a)/a^5/(b*x+a)^(1/2)-1/a^5*(((41/16*A*b-11/8*B*a)*(b*x+a)^(5/2)+(-35/6*A*a*b+3*B*a^2)*(b*x+a)^(3/2)+(55/16*A*a^2*b-13/8*B*a^3)*(b*x+a)^(1/2))/x^3/b^3-35/16*(3*A*b-2*B*a)/a^(1/2)*arctanh((b*x+a)^(1/2)/a^(1/2))))","A"
453,1,168,170,0.024000," ","int((B*x+A)/x^5/(b*x+a)^(5/2),x)","2 \left(-\frac{-A b +B a}{3 \left(b x +a \right)^{\frac{3}{2}} a^{5}}-\frac{-5 A b +4 B a}{\sqrt{b x +a}\, a^{6}}+\frac{-\frac{105 \left(11 A b -8 B a \right) \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{128 \sqrt{a}}+\frac{\left(\frac{515 A b}{128}-\frac{41 B a}{16}\right) \left(b x +a \right)^{\frac{7}{2}}+\left(-\frac{5153}{384} A a b +\frac{403}{48} B \,a^{2}\right) \left(b x +a \right)^{\frac{5}{2}}+\left(\frac{5855}{384} A \,a^{2} b -\frac{445}{48} B \,a^{3}\right) \left(b x +a \right)^{\frac{3}{2}}+\left(-\frac{765}{128} A \,a^{3} b +\frac{55}{16} B \,a^{4}\right) \sqrt{b x +a}}{b^{4} x^{4}}}{a^{6}}\right) b^{3}"," ",0,"2*b^3*(-(-5*A*b+4*B*a)/a^6/(b*x+a)^(1/2)-1/3*(-A*b+B*a)/a^5/(b*x+a)^(3/2)+1/a^6*(((515/128*A*b-41/16*B*a)*(b*x+a)^(7/2)+(-5153/384*A*a*b+403/48*B*a^2)*(b*x+a)^(5/2)+(5855/384*A*a^2*b-445/48*B*a^3)*(b*x+a)^(3/2)+(-765/128*A*a^3*b+55/16*B*a^4)*(b*x+a)^(1/2))/x^4/b^4-105/128*(11*A*b-8*B*a)/a^(1/2)*arctanh((b*x+a)^(1/2)/a^(1/2))))","A"
454,1,63,61,0.015000," ","int((b*x+a)^2/x^2/(d*x+c)^(1/2),x)","\frac{2 \left(\frac{\left(a d -4 b c \right) \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{2 c^{\frac{3}{2}}}-\frac{\sqrt{d x +c}\, a}{2 c x}\right) a d +2 \sqrt{d x +c}\, b^{2}}{d}"," ",0,"2/d*(b^2*(d*x+c)^(1/2)+a*d*(-1/2*a/c*(d*x+c)^(1/2)/x+1/2*(a*d-4*b*c)/c^(3/2)*arctanh((d*x+c)^(1/2)/c^(1/2))))","A"
455,1,384,177,0.014000," ","int(x^3*(d*x+c)^(5/2)/(b*x+a),x)","\frac{2 a^{6} d^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{6}}-\frac{6 a^{5} c \,d^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{5}}+\frac{6 a^{4} c^{2} d \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{4}}-\frac{2 a^{3} c^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{3}}-\frac{2 \sqrt{d x +c}\, a^{5} d^{2}}{b^{6}}+\frac{4 \sqrt{d x +c}\, a^{4} c d}{b^{5}}-\frac{2 \sqrt{d x +c}\, a^{3} c^{2}}{b^{4}}+\frac{2 \left(d x +c \right)^{\frac{3}{2}} a^{4} d}{3 b^{5}}-\frac{2 \left(d x +c \right)^{\frac{3}{2}} a^{3} c}{3 b^{4}}-\frac{2 \left(d x +c \right)^{\frac{5}{2}} a^{3}}{5 b^{4}}+\frac{2 \left(d x +c \right)^{\frac{7}{2}} a^{2}}{7 b^{3} d}+\frac{2 \left(d x +c \right)^{\frac{7}{2}} a c}{7 b^{2} d^{2}}+\frac{2 \left(d x +c \right)^{\frac{7}{2}} c^{2}}{7 b \,d^{3}}-\frac{2 \left(d x +c \right)^{\frac{9}{2}} a}{9 b^{2} d^{2}}-\frac{4 \left(d x +c \right)^{\frac{9}{2}} c}{9 b \,d^{3}}+\frac{2 \left(d x +c \right)^{\frac{11}{2}}}{11 b \,d^{3}}"," ",0,"2/11*(d*x+c)^(11/2)/b/d^3-2/9/d^2/b^2*(d*x+c)^(9/2)*a-4/9/d^3/b*(d*x+c)^(9/2)*c+2/7/d/b^3*(d*x+c)^(7/2)*a^2+2/7/d^2/b^2*(d*x+c)^(7/2)*a*c+2/7/d^3/b*(d*x+c)^(7/2)*c^2-2/5*a^3*(d*x+c)^(5/2)/b^4+2/3*d/b^5*(d*x+c)^(3/2)*a^4-2/3/b^4*(d*x+c)^(3/2)*a^3*c-2*d^2/b^6*a^5*(d*x+c)^(1/2)+4*d/b^5*a^4*c*(d*x+c)^(1/2)-2/b^4*a^3*c^2*(d*x+c)^(1/2)+2*d^3*a^6/b^6/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)-6*d^2*a^5/b^5/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c+6*d*a^4/b^4/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^2-2*a^3/b^3/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^3","B"
456,1,331,141,0.013000," ","int(x^2*(d*x+c)^(5/2)/(b*x+a),x)","-\frac{2 a^{5} d^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{5}}+\frac{6 a^{4} c \,d^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{4}}-\frac{6 a^{3} c^{2} d \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{3}}+\frac{2 a^{2} c^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{2}}+\frac{2 \sqrt{d x +c}\, a^{4} d^{2}}{b^{5}}-\frac{4 \sqrt{d x +c}\, a^{3} c d}{b^{4}}+\frac{2 \sqrt{d x +c}\, a^{2} c^{2}}{b^{3}}-\frac{2 \left(d x +c \right)^{\frac{3}{2}} a^{3} d}{3 b^{4}}+\frac{2 \left(d x +c \right)^{\frac{3}{2}} a^{2} c}{3 b^{3}}+\frac{2 \left(d x +c \right)^{\frac{5}{2}} a^{2}}{5 b^{3}}-\frac{2 \left(d x +c \right)^{\frac{7}{2}} a}{7 b^{2} d}-\frac{2 \left(d x +c \right)^{\frac{7}{2}} c}{7 b \,d^{2}}+\frac{2 \left(d x +c \right)^{\frac{9}{2}}}{9 b \,d^{2}}"," ",0,"2/9*(d*x+c)^(9/2)/b/d^2-2/7/d/b^2*(d*x+c)^(7/2)*a-2/7/d^2/b*(d*x+c)^(7/2)*c+2/5*a^2*(d*x+c)^(5/2)/b^3-2/3*d/b^4*(d*x+c)^(3/2)*a^3+2/3/b^3*(d*x+c)^(3/2)*a^2*c+2*d^2/b^5*a^4*(d*x+c)^(1/2)-4*d/b^4*a^3*c*(d*x+c)^(1/2)+2/b^3*a^2*c^2*(d*x+c)^(1/2)-2*d^3*a^5/b^5/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)+6*d^2*a^4/b^4/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c-6*d*a^3/b^3/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^2+2*a^2/b^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^3","B"
457,1,291,111,0.011000," ","int(x*(d*x+c)^(5/2)/(b*x+a),x)","\frac{2 a^{4} d^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{4}}-\frac{6 a^{3} c \,d^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{3}}+\frac{6 a^{2} c^{2} d \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{2}}-\frac{2 a \,c^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b}-\frac{2 \sqrt{d x +c}\, a^{3} d^{2}}{b^{4}}+\frac{4 \sqrt{d x +c}\, a^{2} c d}{b^{3}}-\frac{2 \sqrt{d x +c}\, a \,c^{2}}{b^{2}}+\frac{2 \left(d x +c \right)^{\frac{3}{2}} a^{2} d}{3 b^{3}}-\frac{2 \left(d x +c \right)^{\frac{3}{2}} a c}{3 b^{2}}-\frac{2 \left(d x +c \right)^{\frac{5}{2}} a}{5 b^{2}}+\frac{2 \left(d x +c \right)^{\frac{7}{2}}}{7 b d}"," ",0,"2/7*(d*x+c)^(7/2)/b/d-2/5*a*(d*x+c)^(5/2)/b^2+2/3*d/b^3*(d*x+c)^(3/2)*a^2-2/3/b^2*(d*x+c)^(3/2)*a*c-2*d^2/b^4*(d*x+c)^(1/2)*a^3+4*d/b^3*(d*x+c)^(1/2)*a^2*c-2/b^2*(d*x+c)^(1/2)*a*c^2+2*d^3*a^4/b^4/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)-6*d^2*a^3/b^3/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c+6*d*a^2/b^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^2-2*a/b/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^3","B"
458,1,263,92,0.008000," ","int((d*x+c)^(5/2)/(b*x+a),x)","-\frac{2 a^{3} d^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{3}}+\frac{6 a^{2} c \,d^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{2}}-\frac{6 a \,c^{2} d \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b}+\frac{2 c^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}}+\frac{2 \sqrt{d x +c}\, a^{2} d^{2}}{b^{3}}-\frac{4 \sqrt{d x +c}\, a c d}{b^{2}}+\frac{2 \sqrt{d x +c}\, c^{2}}{b}-\frac{2 \left(d x +c \right)^{\frac{3}{2}} a d}{3 b^{2}}+\frac{2 \left(d x +c \right)^{\frac{3}{2}} c}{3 b}+\frac{2 \left(d x +c \right)^{\frac{5}{2}}}{5 b}"," ",0,"2/5*(d*x+c)^(5/2)/b-2/3/b^2*(d*x+c)^(3/2)*a*d+2/3/b*(d*x+c)^(3/2)*c+2/b^3*(d*x+c)^(1/2)*a^2*d^2-4/b^2*(d*x+c)^(1/2)*a*c*d+2/b*(d*x+c)^(1/2)*c^2-2/b^3/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*a^3*d^3+6/b^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*a^2*c*d^2-6/b/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*a*c^2*d+2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^3","B"
459,1,237,96,0.017000," ","int((d*x+c)^(5/2)/x/(b*x+a),x)","\frac{2 a^{2} d^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{2}}-\frac{6 a c \,d^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b}-\frac{2 b \,c^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a}+\frac{6 c^{2} d \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}}-\frac{2 c^{\frac{5}{2}} \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a}-\frac{2 \sqrt{d x +c}\, a \,d^{2}}{b^{2}}+\frac{4 \sqrt{d x +c}\, c d}{b}+\frac{2 \left(d x +c \right)^{\frac{3}{2}} d}{3 b}"," ",0,"2/3*d*(d*x+c)^(3/2)/b-2/b^2*(d*x+c)^(1/2)*a*d^2+4*d/b*(d*x+c)^(1/2)*c+2/b^2*a^2*d^3/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)-6/b*a*d^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c+6*d/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^2-2*b/a/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^3-2*c^(5/2)*arctanh((d*x+c)^(1/2)/c^(1/2))/a","B"
460,1,249,108,0.017000," ","int((d*x+c)^(5/2)/x^2/(b*x+a),x)","-\frac{2 a \,d^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b}-\frac{6 b \,c^{2} d \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a}+\frac{2 b^{2} c^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a^{2}}+\frac{6 c \,d^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}}-\frac{5 c^{\frac{3}{2}} d \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a}+\frac{2 b \,c^{\frac{5}{2}} \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a^{2}}+\frac{2 \sqrt{d x +c}\, d^{2}}{b}-\frac{\sqrt{d x +c}\, c^{2}}{a x}"," ",0,"2*d^2/b*(d*x+c)^(1/2)-2*d^3/b*a/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)+6*d^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c-6*d*b/a/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^2+2*b^2/a^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^3-c^2/a*(d*x+c)^(1/2)/x-5*d*c^(3/2)/a*arctanh((d*x+c)^(1/2)/c^(1/2))+2*c^(5/2)/a^2*arctanh((d*x+c)^(1/2)/c^(1/2))*b","B"
461,1,321,125,0.018000," ","int((d*x+c)^(5/2)/x^3/(b*x+a),x)","-\frac{6 b c \,d^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a}+\frac{6 b^{2} c^{2} d \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a^{2}}-\frac{2 b^{3} c^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a^{3}}+\frac{2 d^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}}-\frac{15 \sqrt{c}\, d^{2} \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{4 a}+\frac{5 b \,c^{\frac{3}{2}} d \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a^{2}}-\frac{2 b^{2} c^{\frac{5}{2}} \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a^{3}}+\frac{7 \sqrt{d x +c}\, c^{2}}{4 a \,x^{2}}-\frac{\sqrt{d x +c}\, b \,c^{3}}{a^{2} d \,x^{2}}-\frac{9 \left(d x +c \right)^{\frac{3}{2}} c}{4 a \,x^{2}}+\frac{\left(d x +c \right)^{\frac{3}{2}} b \,c^{2}}{a^{2} d \,x^{2}}"," ",0,"2*d^3/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)-6*d^2/a/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*b*c+6*d/a^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*b^2*c^2-2/a^3/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*b^3*c^3-9/4*c*(d*x+c)^(3/2)/a/x^2+1/d*c^2/a^2/x^2*(d*x+c)^(3/2)*b+7/4*c^2/a/x^2*(d*x+c)^(1/2)-1/d*c^3/a^2/x^2*(d*x+c)^(1/2)*b-15/4*d^2*c^(1/2)/a*arctanh((d*x+c)^(1/2)/c^(1/2))+5*d*c^(3/2)/a^2*arctanh((d*x+c)^(1/2)/c^(1/2))*b-2*c^(5/2)/a^3*arctanh((d*x+c)^(1/2)/c^(1/2))*b^2","B"
462,1,461,177,0.020000," ","int((d*x+c)^(5/2)/x^4/(b*x+a),x)","-\frac{2 b \,d^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a}+\frac{6 b^{2} c \,d^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a^{2}}-\frac{6 b^{3} c^{2} d \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a^{3}}+\frac{2 b^{4} c^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a^{4}}-\frac{5 d^{3} \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{8 a \sqrt{c}}+\frac{15 b \sqrt{c}\, d^{2} \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{4 a^{2}}-\frac{5 b^{2} c^{\frac{3}{2}} d \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a^{3}}+\frac{2 b^{3} c^{\frac{5}{2}} \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a^{4}}-\frac{5 \sqrt{d x +c}\, c^{2}}{8 a \,x^{3}}+\frac{7 \sqrt{d x +c}\, b \,c^{3}}{4 a^{2} d \,x^{3}}-\frac{\sqrt{d x +c}\, b^{2} c^{4}}{a^{3} d^{2} x^{3}}+\frac{5 \left(d x +c \right)^{\frac{3}{2}} c}{3 a \,x^{3}}-\frac{4 \left(d x +c \right)^{\frac{3}{2}} b \,c^{2}}{a^{2} d \,x^{3}}+\frac{2 \left(d x +c \right)^{\frac{3}{2}} b^{2} c^{3}}{a^{3} d^{2} x^{3}}-\frac{11 \left(d x +c \right)^{\frac{5}{2}}}{8 a \,x^{3}}+\frac{9 \left(d x +c \right)^{\frac{5}{2}} b c}{4 a^{2} d \,x^{3}}-\frac{\left(d x +c \right)^{\frac{5}{2}} b^{2} c^{2}}{a^{3} d^{2} x^{3}}"," ",0,"-2*d^3*b/a/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)+6*d^2*b^2/a^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c-6*d*b^3/a^3/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^2+2*b^4/a^4/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^3-11/8/a/x^3*(d*x+c)^(5/2)+9/4/d/a^2/x^3*(d*x+c)^(5/2)*b*c-1/d^2/a^3/x^3*(d*x+c)^(5/2)*b^2*c^2+5/3*c*(d*x+c)^(3/2)/a/x^3-4/d/a^2/x^3*(d*x+c)^(3/2)*b*c^2+2/d^2/a^3/x^3*(d*x+c)^(3/2)*b^2*c^3+7/4/d/a^2/x^3*(d*x+c)^(1/2)*b*c^3-1/d^2/a^3/x^3*(d*x+c)^(1/2)*b^2*c^4-5/8/a/x^3*(d*x+c)^(1/2)*c^2-5/8*d^3/a/c^(1/2)*arctanh((d*x+c)^(1/2)/c^(1/2))+15/4*d^2/a^2*c^(1/2)*arctanh((d*x+c)^(1/2)/c^(1/2))*b-5*d/a^3*c^(3/2)*arctanh((d*x+c)^(1/2)/c^(1/2))*b^2+2/a^4*c^(5/2)*arctanh((d*x+c)^(1/2)/c^(1/2))*b^3","B"
463,0,0,135,0.136000," ","int(1/x^(1/3)/(d*x+4*c)/(d*x+c)^(1/2),x)","\int \frac{1}{\left(d x +4 c \right) \sqrt{d x +c}\, x^{\frac{1}{3}}}\, dx"," ",0,"int(1/x^(1/3)/(d*x+4*c)/(d*x+c)^(1/2),x)","F"
464,0,0,93,0.132000," ","int(1/x^(1/3)/(-d*x+8*c)/(d*x+c)^(1/2),x)","\int \frac{1}{\left(-d x +8 c \right) \sqrt{d x +c}\, x^{\frac{1}{3}}}\, dx"," ",0,"int(1/x^(1/3)/(-d*x+8*c)/(d*x+c)^(1/2),x)","F"
465,1,167,120,0.020000," ","int((d*x+c)^(1/2)/x^2/(b*x+a)^2,x)","-\frac{3 b d \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a^{2}}+\frac{4 b^{2} c \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a^{3}}-\frac{\sqrt{d x +c}\, b d}{\left(b d x +a d \right) a^{2}}-\frac{d \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a^{2} \sqrt{c}}+\frac{4 b \sqrt{c}\, \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a^{3}}-\frac{\sqrt{d x +c}}{a^{2} x}"," ",0,"-d/a^2*b*(d*x+c)^(1/2)/(b*d*x+a*d)-3*d/a^2*b/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)+4/a^3*b^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c-1/a^2*(d*x+c)^(1/2)/x-d/a^2/c^(1/2)*arctanh((d*x+c)^(1/2)/c^(1/2))+4/a^3*c^(1/2)*arctanh((d*x+c)^(1/2)/c^(1/2))*b","A"
466,1,194,97,0.016000," ","int((d*x+c)^(3/2)/x/(b*x+a)^2,x)","\frac{c d \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a}-\frac{2 b \,c^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a^{2}}+\frac{d^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b}+\frac{\sqrt{d x +c}\, c d}{\left(b d x +a d \right) a}-\frac{\sqrt{d x +c}\, d^{2}}{\left(b d x +a d \right) b}-\frac{2 c^{\frac{3}{2}} \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a^{2}}"," ",0,"-d^2/b*(d*x+c)^(1/2)/(b*d*x+a*d)+d/a*(d*x+c)^(1/2)/(b*d*x+a*d)*c+d^2/b/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)+d/a/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c-2/a^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^2*b-2*c^(3/2)*arctanh((d*x+c)^(1/2)/c^(1/2))/a^2","A"
467,1,237,129,0.022000," ","int((d*x+c)^(3/2)/x^2/(b*x+a)^2,x)","\frac{d^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a}-\frac{5 b c d \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a^{2}}+\frac{4 b^{2} c^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a^{3}}+\frac{\sqrt{d x +c}\, d^{2}}{\left(b d x +a d \right) a}-\frac{\sqrt{d x +c}\, b c d}{\left(b d x +a d \right) a^{2}}-\frac{3 \sqrt{c}\, d \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a^{2}}+\frac{4 b \,c^{\frac{3}{2}} \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a^{3}}-\frac{\sqrt{d x +c}\, c}{a^{2} x}"," ",0,"d^2/a*(d*x+c)^(1/2)/(b*d*x+a*d)-d/a^2*(d*x+c)^(1/2)/(b*d*x+a*d)*b*c+d^2/a/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)-5*d/a^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*b*c+4/a^3/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*b^2*c^2-c/a^2*(d*x+c)^(1/2)/x-3*d*c^(1/2)/a^2*arctanh((d*x+c)^(1/2)/c^(1/2))+4*c^(3/2)/a^3*arctanh((d*x+c)^(1/2)/c^(1/2))*b","A"
468,1,415,194,0.023000," ","int(x^3*(d*x+c)^(5/2)/(b*x+a)^2,x)","-\frac{11 a^{5} d^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{6}}+\frac{28 a^{4} c \,d^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{5}}-\frac{23 a^{3} c^{2} d \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{4}}+\frac{6 a^{2} c^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{3}}+\frac{\sqrt{d x +c}\, a^{5} d^{3}}{\left(b d x +a d \right) b^{6}}-\frac{2 \sqrt{d x +c}\, a^{4} c \,d^{2}}{\left(b d x +a d \right) b^{5}}+\frac{\sqrt{d x +c}\, a^{3} c^{2} d}{\left(b d x +a d \right) b^{4}}+\frac{10 \sqrt{d x +c}\, a^{4} d^{2}}{b^{6}}-\frac{16 \sqrt{d x +c}\, a^{3} c d}{b^{5}}+\frac{6 \sqrt{d x +c}\, a^{2} c^{2}}{b^{4}}-\frac{8 \left(d x +c \right)^{\frac{3}{2}} a^{3} d}{3 b^{5}}+\frac{2 \left(d x +c \right)^{\frac{3}{2}} a^{2} c}{b^{4}}+\frac{6 \left(d x +c \right)^{\frac{5}{2}} a^{2}}{5 b^{4}}-\frac{4 \left(d x +c \right)^{\frac{7}{2}} a}{7 b^{3} d}-\frac{2 \left(d x +c \right)^{\frac{7}{2}} c}{7 b^{2} d^{2}}+\frac{2 \left(d x +c \right)^{\frac{9}{2}}}{9 b^{2} d^{2}}"," ",0,"2/9/d^2/b^2*(d*x+c)^(9/2)-4/7/d/b^3*(d*x+c)^(7/2)*a-2/7/d^2/b^2*(d*x+c)^(7/2)*c+6/5/b^4*a^2*(d*x+c)^(5/2)-8/3*d/b^5*(d*x+c)^(3/2)*a^3+2/b^4*(d*x+c)^(3/2)*a^2*c+10*d^2/b^6*a^4*(d*x+c)^(1/2)-16*d/b^5*a^3*c*(d*x+c)^(1/2)+6/b^4*a^2*c^2*(d*x+c)^(1/2)+d^3*a^5/b^6*(d*x+c)^(1/2)/(b*d*x+a*d)-2*d^2*a^4/b^5*(d*x+c)^(1/2)/(b*d*x+a*d)*c+d*a^3/b^4*(d*x+c)^(1/2)/(b*d*x+a*d)*c^2-11*d^3*a^5/b^6/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)+28*d^2*a^4/b^5/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c-23*d*a^3/b^4/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^2+6*a^2/b^3/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^3","B"
469,1,377,178,0.021000," ","int(x^2*(d*x+c)^(5/2)/(b*x+a)^2,x)","\frac{9 a^{4} d^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{5}}-\frac{22 a^{3} c \,d^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{4}}+\frac{17 a^{2} c^{2} d \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{3}}-\frac{4 a \,c^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{2}}-\frac{\sqrt{d x +c}\, a^{4} d^{3}}{\left(b d x +a d \right) b^{5}}+\frac{2 \sqrt{d x +c}\, a^{3} c \,d^{2}}{\left(b d x +a d \right) b^{4}}-\frac{\sqrt{d x +c}\, a^{2} c^{2} d}{\left(b d x +a d \right) b^{3}}-\frac{8 \sqrt{d x +c}\, a^{3} d^{2}}{b^{5}}+\frac{12 \sqrt{d x +c}\, a^{2} c d}{b^{4}}-\frac{4 \sqrt{d x +c}\, a \,c^{2}}{b^{3}}+\frac{2 \left(d x +c \right)^{\frac{3}{2}} a^{2} d}{b^{4}}-\frac{4 \left(d x +c \right)^{\frac{3}{2}} a c}{3 b^{3}}-\frac{4 \left(d x +c \right)^{\frac{5}{2}} a}{5 b^{3}}+\frac{2 \left(d x +c \right)^{\frac{7}{2}}}{7 b^{2} d}"," ",0,"2/7*(d*x+c)^(7/2)/b^2/d-4/5/b^3*a*(d*x+c)^(5/2)+2*d/b^4*(d*x+c)^(3/2)*a^2-4/3/b^3*(d*x+c)^(3/2)*a*c-8*d^2/b^5*(d*x+c)^(1/2)*a^3+12*d/b^4*(d*x+c)^(1/2)*a^2*c-4/b^3*(d*x+c)^(1/2)*a*c^2-d^3*a^4/b^5*(d*x+c)^(1/2)/(b*d*x+a*d)+2*d^2*a^3/b^4*(d*x+c)^(1/2)/(b*d*x+a*d)*c-d*a^2/b^3*(d*x+c)^(1/2)/(b*d*x+a*d)*c^2+9*d^3*a^4/b^5/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)-22*d^2*a^3/b^4/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c+17*d*a^2/b^3/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^2-4*a/b^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^3","B"
470,1,348,156,0.019000," ","int(x*(d*x+c)^(5/2)/(b*x+a)^2,x)","-\frac{7 a^{3} d^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{4}}+\frac{16 a^{2} c \,d^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{3}}-\frac{11 a \,c^{2} d \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{2}}+\frac{2 c^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b}+\frac{\sqrt{d x +c}\, a^{3} d^{3}}{\left(b d x +a d \right) b^{4}}-\frac{2 \sqrt{d x +c}\, a^{2} c \,d^{2}}{\left(b d x +a d \right) b^{3}}+\frac{\sqrt{d x +c}\, a \,c^{2} d}{\left(b d x +a d \right) b^{2}}+\frac{6 \sqrt{d x +c}\, a^{2} d^{2}}{b^{4}}-\frac{8 \sqrt{d x +c}\, a c d}{b^{3}}+\frac{2 \sqrt{d x +c}\, c^{2}}{b^{2}}-\frac{4 \left(d x +c \right)^{\frac{3}{2}} a d}{3 b^{3}}+\frac{2 \left(d x +c \right)^{\frac{3}{2}} c}{3 b^{2}}+\frac{2 \left(d x +c \right)^{\frac{5}{2}}}{5 b^{2}}"," ",0,"2/5/b^2*(d*x+c)^(5/2)-4/3/b^3*(d*x+c)^(3/2)*a*d+2/3/b^2*(d*x+c)^(3/2)*c+6/b^4*(d*x+c)^(1/2)*a^2*d^2-8/b^3*(d*x+c)^(1/2)*a*c*d+2/b^2*(d*x+c)^(1/2)*c^2+1/b^4*(d*x+c)^(1/2)/(b*d*x+a*d)*a^3*d^3-2/b^3*(d*x+c)^(1/2)/(b*d*x+a*d)*a^2*c*d^2+1/b^2*(d*x+c)^(1/2)/(b*d*x+a*d)*a*c^2*d-7/b^4/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*a^3*d^3+16/b^3/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*a^2*c*d^2-11/b^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*a*c^2*d+2/b/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^3","B"
471,1,258,92,0.016000," ","int((d*x+c)^(5/2)/(b*x+a)^2,x)","\frac{5 a^{2} d^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{3}}-\frac{10 a c \,d^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{2}}+\frac{5 c^{2} d \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b}-\frac{\sqrt{d x +c}\, a^{2} d^{3}}{\left(b d x +a d \right) b^{3}}+\frac{2 \sqrt{d x +c}\, a c \,d^{2}}{\left(b d x +a d \right) b^{2}}-\frac{\sqrt{d x +c}\, c^{2} d}{\left(b d x +a d \right) b}-\frac{4 \sqrt{d x +c}\, a \,d^{2}}{b^{3}}+\frac{4 \sqrt{d x +c}\, c d}{b^{2}}+\frac{2 \left(d x +c \right)^{\frac{3}{2}} d}{3 b^{2}}"," ",0,"2/3*(d*x+c)^(3/2)/b^2*d-4/b^3*(d*x+c)^(1/2)*a*d^2+4*d/b^2*(d*x+c)^(1/2)*c-1/b^3*(d*x+c)^(1/2)/(b*d*x+a*d)*a^2*d^3+2/b^2*(d*x+c)^(1/2)/(b*d*x+a*d)*a*c*d^2-d/b*(d*x+c)^(1/2)/(b*d*x+a*d)*c^2+5/b^3/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*a^2*d^3-10/b^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*a*c*d^2+5*d/b/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^2","B"
472,1,284,122,0.020000," ","int((d*x+c)^(5/2)/x/(b*x+a)^2,x)","-\frac{3 a \,d^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b^{2}}+\frac{c^{2} d \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a}-\frac{2 b \,c^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a^{2}}+\frac{4 c \,d^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b}+\frac{\sqrt{d x +c}\, a \,d^{3}}{\left(b d x +a d \right) b^{2}}+\frac{\sqrt{d x +c}\, c^{2} d}{\left(b d x +a d \right) a}-\frac{2 \sqrt{d x +c}\, c \,d^{2}}{\left(b d x +a d \right) b}-\frac{2 c^{\frac{5}{2}} \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a^{2}}+\frac{2 \sqrt{d x +c}\, d^{2}}{b^{2}}"," ",0,"2*d^2/b^2*(d*x+c)^(1/2)+d^3/b^2*a*(d*x+c)^(1/2)/(b*d*x+a*d)-2*d^2/b*(d*x+c)^(1/2)/(b*d*x+a*d)*c+d/a*(d*x+c)^(1/2)/(b*d*x+a*d)*c^2-3*d^3/b^2*a/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)+4*d^2/b/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c+d/a/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^2-2*b/a^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^3-2*c^(5/2)*arctanh((d*x+c)^(1/2)/c^(1/2))/a^2","B"
473,1,313,127,0.020000," ","int((d*x+c)^(5/2)/x^2/(b*x+a)^2,x)","\frac{2 c \,d^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a}-\frac{7 b \,c^{2} d \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a^{2}}+\frac{4 b^{2} c^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a^{3}}+\frac{d^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b}+\frac{2 \sqrt{d x +c}\, c \,d^{2}}{\left(b d x +a d \right) a}-\frac{\sqrt{d x +c}\, b \,c^{2} d}{\left(b d x +a d \right) a^{2}}-\frac{\sqrt{d x +c}\, d^{3}}{\left(b d x +a d \right) b}-\frac{5 c^{\frac{3}{2}} d \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a^{2}}+\frac{4 b \,c^{\frac{5}{2}} \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a^{3}}-\frac{\sqrt{d x +c}\, c^{2}}{a^{2} x}"," ",0,"-d^3/b*(d*x+c)^(1/2)/(b*d*x+a*d)+2*d^2/a*(d*x+c)^(1/2)/(b*d*x+a*d)*c-d/a^2*b*(d*x+c)^(1/2)/(b*d*x+a*d)*c^2+d^3/b/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)+2*d^2/a/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c-7*d/a^2*b/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^2+4/a^3/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^3*b^2-c^2*(d*x+c)^(1/2)/a^2/x-5*d*c^(3/2)/a^2*arctanh((d*x+c)^(1/2)/c^(1/2))+4*c^(5/2)/a^3*arctanh((d*x+c)^(1/2)/c^(1/2))*b","B"
474,1,403,189,0.022000," ","int((d*x+c)^(5/2)/x^3/(b*x+a)^2,x)","\frac{d^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a}-\frac{8 b c \,d^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a^{2}}+\frac{13 b^{2} c^{2} d \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a^{3}}-\frac{6 b^{3} c^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a^{4}}+\frac{\sqrt{d x +c}\, d^{3}}{\left(b d x +a d \right) a}-\frac{2 \sqrt{d x +c}\, b c \,d^{2}}{\left(b d x +a d \right) a^{2}}+\frac{\sqrt{d x +c}\, b^{2} c^{2} d}{\left(b d x +a d \right) a^{3}}-\frac{15 \sqrt{c}\, d^{2} \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{4 a^{2}}+\frac{10 b \,c^{\frac{3}{2}} d \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a^{3}}-\frac{6 b^{2} c^{\frac{5}{2}} \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a^{4}}+\frac{7 \sqrt{d x +c}\, c^{2}}{4 a^{2} x^{2}}-\frac{2 \sqrt{d x +c}\, b \,c^{3}}{a^{3} d \,x^{2}}-\frac{9 \left(d x +c \right)^{\frac{3}{2}} c}{4 a^{2} x^{2}}+\frac{2 \left(d x +c \right)^{\frac{3}{2}} b \,c^{2}}{a^{3} d \,x^{2}}"," ",0,"d^3/a*(d*x+c)^(1/2)/(b*d*x+a*d)-2*d^2/a^2*(d*x+c)^(1/2)/(b*d*x+a*d)*b*c+d/a^3*(d*x+c)^(1/2)/(b*d*x+a*d)*b^2*c^2+d^3/a/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)-8*d^2/a^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*b*c+13*d/a^3/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*b^2*c^2-6/a^4/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*b^3*c^3-9/4*c/a^2/x^2*(d*x+c)^(3/2)+2/d*c^2/a^3/x^2*(d*x+c)^(3/2)*b+7/4*c^2/a^2/x^2*(d*x+c)^(1/2)-2/d*c^3/a^3/x^2*(d*x+c)^(1/2)*b-15/4*d^2*c^(1/2)/a^2*arctanh((d*x+c)^(1/2)/c^(1/2))+10*d*c^(3/2)/a^3*arctanh((d*x+c)^(1/2)/c^(1/2))*b-6*c^(5/2)/a^4*arctanh((d*x+c)^(1/2)/c^(1/2))*b^2","B"
475,1,545,250,0.023000," ","int((d*x+c)^(5/2)/x^4/(b*x+a)^2,x)","-\frac{3 b \,d^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a^{2}}+\frac{14 b^{2} c \,d^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a^{3}}-\frac{19 b^{3} c^{2} d \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a^{4}}+\frac{8 b^{4} c^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a^{5}}-\frac{\sqrt{d x +c}\, b \,d^{3}}{\left(b d x +a d \right) a^{2}}+\frac{2 \sqrt{d x +c}\, b^{2} c \,d^{2}}{\left(b d x +a d \right) a^{3}}-\frac{\sqrt{d x +c}\, b^{3} c^{2} d}{\left(b d x +a d \right) a^{4}}-\frac{5 d^{3} \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{8 a^{2} \sqrt{c}}+\frac{15 b \sqrt{c}\, d^{2} \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{2 a^{3}}-\frac{15 b^{2} c^{\frac{3}{2}} d \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a^{4}}+\frac{8 b^{3} c^{\frac{5}{2}} \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a^{5}}-\frac{5 \sqrt{d x +c}\, c^{2}}{8 a^{2} x^{3}}+\frac{7 \sqrt{d x +c}\, b \,c^{3}}{2 a^{3} d \,x^{3}}-\frac{3 \sqrt{d x +c}\, b^{2} c^{4}}{a^{4} d^{2} x^{3}}+\frac{5 \left(d x +c \right)^{\frac{3}{2}} c}{3 a^{2} x^{3}}-\frac{8 \left(d x +c \right)^{\frac{3}{2}} b \,c^{2}}{a^{3} d \,x^{3}}+\frac{6 \left(d x +c \right)^{\frac{3}{2}} b^{2} c^{3}}{a^{4} d^{2} x^{3}}-\frac{11 \left(d x +c \right)^{\frac{5}{2}}}{8 a^{2} x^{3}}+\frac{9 \left(d x +c \right)^{\frac{5}{2}} b c}{2 a^{3} d \,x^{3}}-\frac{3 \left(d x +c \right)^{\frac{5}{2}} b^{2} c^{2}}{a^{4} d^{2} x^{3}}"," ",0,"-d^3*b/a^2*(d*x+c)^(1/2)/(b*d*x+a*d)+2*d^2*b^2/a^3*(d*x+c)^(1/2)/(b*d*x+a*d)*c-d*b^3/a^4*(d*x+c)^(1/2)/(b*d*x+a*d)*c^2-3*d^3*b/a^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)+14*d^2*b^2/a^3/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c-19*d*b^3/a^4/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^2+8*b^4/a^5/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^3-11/8/a^2/x^3*(d*x+c)^(5/2)+9/2/d/a^3/x^3*(d*x+c)^(5/2)*b*c-3/d^2/a^4/x^3*(d*x+c)^(5/2)*b^2*c^2+5/3/a^2/x^3*(d*x+c)^(3/2)*c-8/d/a^3/x^3*(d*x+c)^(3/2)*b*c^2+6/d^2/a^4/x^3*(d*x+c)^(3/2)*b^2*c^3+7/2/d/a^3/x^3*(d*x+c)^(1/2)*b*c^3-3/d^2/a^4/x^3*(d*x+c)^(1/2)*b^2*c^4-5/8/a^2/x^3*(d*x+c)^(1/2)*c^2-5/8*d^3/a^2/c^(1/2)*arctanh((d*x+c)^(1/2)/c^(1/2))+15/2*d^2/a^3*c^(1/2)*arctanh((d*x+c)^(1/2)/c^(1/2))*b-15*d/a^4*c^(3/2)*arctanh((d*x+c)^(1/2)/c^(1/2))*b^2+8/a^5*c^(5/2)*arctanh((d*x+c)^(1/2)/c^(1/2))*b^3","B"
476,1,202,144,0.020000," ","int(1/x^2/(b*x+a)^2/(d*x+c)^(1/2),x)","\frac{5 b^{2} d \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\left(a d -b c \right) \sqrt{\left(a d -b c \right) b}\, a^{2}}-\frac{4 b^{3} c \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\left(a d -b c \right) \sqrt{\left(a d -b c \right) b}\, a^{3}}+\frac{\sqrt{d x +c}\, b^{2} d}{\left(a d -b c \right) \left(b d x +a d \right) a^{2}}+\frac{d \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a^{2} c^{\frac{3}{2}}}+\frac{4 b \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a^{3} \sqrt{c}}-\frac{\sqrt{d x +c}}{a^{2} c x}"," ",0,"d*b^2/a^2/(a*d-b*c)*(d*x+c)^(1/2)/(b*d*x+a*d)+5*d*b^2/a^2/(a*d-b*c)/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)-4*b^3/a^3/(a*d-b*c)/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c-1/a^2/c*(d*x+c)^(1/2)/x+d/a^2/c^(3/2)*arctanh((d*x+c)^(1/2)/c^(1/2))+4/a^3/c^(1/2)*arctanh((d*x+c)^(1/2)/c^(1/2))*b","A"
477,1,229,194,0.023000," ","int(1/x^2/(b*x+a)^2/(d*x+c)^(3/2),x)","-\frac{7 b^{3} d \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\left(a d -b c \right)^{2} \sqrt{\left(a d -b c \right) b}\, a^{2}}+\frac{4 b^{4} c \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\left(a d -b c \right)^{2} \sqrt{\left(a d -b c \right) b}\, a^{3}}-\frac{\sqrt{d x +c}\, b^{3} d}{\left(a d -b c \right)^{2} \left(b d x +a d \right) a^{2}}-\frac{2 d^{3}}{\left(a d -b c \right)^{2} \sqrt{d x +c}\, c^{2}}+\frac{3 d \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a^{2} c^{\frac{5}{2}}}+\frac{4 b \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a^{3} c^{\frac{3}{2}}}-\frac{\sqrt{d x +c}}{a^{2} c^{2} x}"," ",0,"-d*b^3/a^2/(a*d-b*c)^2*(d*x+c)^(1/2)/(b*d*x+a*d)-7*d*b^3/a^2/(a*d-b*c)^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)+4*b^4/a^3/(a*d-b*c)^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c-2*d^3/c^2/(a*d-b*c)^2/(d*x+c)^(1/2)-1/c^2/a^2*(d*x+c)^(1/2)/x+3*d/c^(5/2)/a^2*arctanh((d*x+c)^(1/2)/c^(1/2))+4/c^(3/2)/a^3*arctanh((d*x+c)^(1/2)/c^(1/2))*b","A"
478,1,280,251,0.030000," ","int(1/x^2/(b*x+a)^2/(d*x+c)^(5/2),x)","\frac{9 b^{4} d \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\left(a d -b c \right)^{3} \sqrt{\left(a d -b c \right) b}\, a^{2}}-\frac{4 b^{5} c \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\left(a d -b c \right)^{3} \sqrt{\left(a d -b c \right) b}\, a^{3}}+\frac{\sqrt{d x +c}\, b^{4} d}{\left(a d -b c \right)^{3} \left(b d x +a d \right) a^{2}}-\frac{4 a \,d^{4}}{\left(a d -b c \right)^{3} \sqrt{d x +c}\, c^{3}}+\frac{8 b \,d^{3}}{\left(a d -b c \right)^{3} \sqrt{d x +c}\, c^{2}}-\frac{2 d^{3}}{3 \left(a d -b c \right)^{2} \left(d x +c \right)^{\frac{3}{2}} c^{2}}+\frac{5 d \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a^{2} c^{\frac{7}{2}}}+\frac{4 b \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a^{3} c^{\frac{5}{2}}}-\frac{\sqrt{d x +c}}{a^{2} c^{3} x}"," ",0,"d*b^4/a^2/(a*d-b*c)^3*(d*x+c)^(1/2)/(b*d*x+a*d)+9*d*b^4/a^2/(a*d-b*c)^3/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)-4*b^5/a^3/(a*d-b*c)^3/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c-2/3*d^3/c^2/(a*d-b*c)^2/(d*x+c)^(3/2)-4*d^4/c^3/(a*d-b*c)^3/(d*x+c)^(1/2)*a+8*d^3/c^2/(a*d-b*c)^3/(d*x+c)^(1/2)*b-1/a^2/c^3*(d*x+c)^(1/2)/x+5*d/a^2/c^(7/2)*arctanh((d*x+c)^(1/2)/c^(1/2))+4/a^3/c^(5/2)*arctanh((d*x+c)^(1/2)/c^(1/2))*b","A"
479,1,260,152,0.019000," ","int(x^(5/2)*(B*x+A)*(b*x+a)^(1/2),x)","-\frac{\sqrt{b x +a}\, \left(-768 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{9}{2}} x^{4}-960 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{9}{2}} x^{3}-96 \sqrt{\left(b x +a \right) x}\, B a \,b^{\frac{7}{2}} x^{3}-160 \sqrt{\left(b x +a \right) x}\, A a \,b^{\frac{7}{2}} x^{2}+112 \sqrt{\left(b x +a \right) x}\, B \,a^{2} b^{\frac{5}{2}} x^{2}+150 A \,a^{4} b \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-105 B \,a^{5} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+200 \sqrt{\left(b x +a \right) x}\, A \,a^{2} b^{\frac{5}{2}} x -140 \sqrt{\left(b x +a \right) x}\, B \,a^{3} b^{\frac{3}{2}} x -300 \sqrt{\left(b x +a \right) x}\, A \,a^{3} b^{\frac{3}{2}}+210 \sqrt{\left(b x +a \right) x}\, B \,a^{4} \sqrt{b}\right) \sqrt{x}}{3840 \sqrt{\left(b x +a \right) x}\, b^{\frac{9}{2}}}"," ",0,"-1/3840*x^(1/2)*(b*x+a)^(1/2)/b^(9/2)*(-768*B*x^4*b^(9/2)*((b*x+a)*x)^(1/2)-960*A*x^3*b^(9/2)*((b*x+a)*x)^(1/2)-96*B*x^3*a*b^(7/2)*((b*x+a)*x)^(1/2)-160*A*x^2*a*b^(7/2)*((b*x+a)*x)^(1/2)+112*B*x^2*a^2*b^(5/2)*((b*x+a)*x)^(1/2)+200*A*((b*x+a)*x)^(1/2)*b^(5/2)*x*a^2-140*B*((b*x+a)*x)^(1/2)*b^(3/2)*x*a^3+150*A*ln(1/2*(2*((b*x+a)*x)^(1/2)*b^(1/2)+2*b*x+a)/b^(1/2))*a^4*b-300*A*((b*x+a)*x)^(1/2)*b^(3/2)*a^3-105*B*ln(1/2*(2*((b*x+a)*x)^(1/2)*b^(1/2)+2*b*x+a)/b^(1/2))*a^5+210*B*((b*x+a)*x)^(1/2)*b^(1/2)*a^4)/((b*x+a)*x)^(1/2)","A"
480,1,218,125,0.013000," ","int(x^(3/2)*(B*x+A)*(b*x+a)^(1/2),x)","\frac{\sqrt{b x +a}\, \left(96 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{7}{2}} x^{3}+128 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{7}{2}} x^{2}+16 \sqrt{\left(b x +a \right) x}\, B a \,b^{\frac{5}{2}} x^{2}+24 A \,a^{3} b \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-15 B \,a^{4} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+32 \sqrt{\left(b x +a \right) x}\, A a \,b^{\frac{5}{2}} x -20 \sqrt{\left(b x +a \right) x}\, B \,a^{2} b^{\frac{3}{2}} x -48 \sqrt{\left(b x +a \right) x}\, A \,a^{2} b^{\frac{3}{2}}+30 \sqrt{\left(b x +a \right) x}\, B \,a^{3} \sqrt{b}\right) \sqrt{x}}{384 \sqrt{\left(b x +a \right) x}\, b^{\frac{7}{2}}}"," ",0,"1/384*x^(1/2)*(b*x+a)^(1/2)/b^(7/2)*(96*B*x^3*b^(7/2)*((b*x+a)*x)^(1/2)+128*A*x^2*b^(7/2)*((b*x+a)*x)^(1/2)+16*B*x^2*a*b^(5/2)*((b*x+a)*x)^(1/2)+32*A*b^(5/2)*((b*x+a)*x)^(1/2)*x*a-20*B*b^(3/2)*((b*x+a)*x)^(1/2)*x*a^2+24*A*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*a^3*b-48*A*b^(3/2)*((b*x+a)*x)^(1/2)*a^2-15*B*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*a^4+30*B*b^(1/2)*((b*x+a)*x)^(1/2)*a^3)/((b*x+a)*x)^(1/2)","A"
481,1,176,98,0.012000," ","int((B*x+A)*x^(1/2)*(b*x+a)^(1/2),x)","-\frac{\sqrt{b x +a}\, \left(-16 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{5}{2}} x^{2}+6 A \,a^{2} b \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-3 B \,a^{3} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-24 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{5}{2}} x -4 \sqrt{\left(b x +a \right) x}\, B a \,b^{\frac{3}{2}} x -12 \sqrt{\left(b x +a \right) x}\, A a \,b^{\frac{3}{2}}+6 \sqrt{\left(b x +a \right) x}\, B \,a^{2} \sqrt{b}\right) \sqrt{x}}{48 \sqrt{\left(b x +a \right) x}\, b^{\frac{5}{2}}}"," ",0,"-1/48*x^(1/2)*(b*x+a)^(1/2)/b^(5/2)*(-16*B*x^2*b^(5/2)*((b*x+a)*x)^(1/2)-24*A*b^(5/2)*((b*x+a)*x)^(1/2)*x-4*B*b^(3/2)*((b*x+a)*x)^(1/2)*x*a+6*A*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*a^2*b-12*A*b^(3/2)*((b*x+a)*x)^(1/2)*a-3*B*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*a^3+6*B*b^(1/2)*((b*x+a)*x)^(1/2)*a^2)/((b*x+a)*x)^(1/2)","A"
482,1,136,71,0.014000," ","int((B*x+A)*(b*x+a)^(1/2)/x^(1/2),x)","\frac{\sqrt{b x +a}\, \left(4 A a b \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-B \,a^{2} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+4 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{3}{2}} x +8 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{3}{2}}+2 \sqrt{\left(b x +a \right) x}\, B a \sqrt{b}\right) \sqrt{x}}{8 \sqrt{\left(b x +a \right) x}\, b^{\frac{3}{2}}}"," ",0,"1/8*(b*x+a)^(1/2)*x^(1/2)/b^(3/2)*(4*B*x*b^(3/2)*((b*x+a)*x)^(1/2)+4*A*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*a*b+8*A*b^(3/2)*((b*x+a)*x)^(1/2)-B*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*a^2+2*B*a*b^(1/2)*((b*x+a)*x)^(1/2))/((b*x+a)*x)^(1/2)","A"
483,1,118,66,0.012000," ","int((B*x+A)*(b*x+a)^(1/2)/x^(3/2),x)","\frac{\sqrt{b x +a}\, \left(2 A b x \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+B a x \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+2 \sqrt{\left(b x +a \right) x}\, B \sqrt{b}\, x -4 \sqrt{\left(b x +a \right) x}\, A \sqrt{b}\right)}{2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}\, \sqrt{x}}"," ",0,"1/2*(b*x+a)^(1/2)*(2*A*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x*b+B*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x*a+2*B*x*((b*x+a)*x)^(1/2)*b^(1/2)-4*A*b^(1/2)*((b*x+a)*x)^(1/2))/x^(1/2)/((b*x+a)*x)^(1/2)/b^(1/2)","A"
484,1,112,51,0.015000," ","int((B*x+A)*(b*x+a)^(1/2)/x^(5/2),x)","-\frac{\sqrt{b x +a}\, \left(-3 B a b \,x^{2} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+2 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{3}{2}} x +6 \sqrt{\left(b x +a \right) x}\, B a \sqrt{b}\, x +2 \sqrt{\left(b x +a \right) x}\, A a \sqrt{b}\right)}{3 \sqrt{\left(b x +a \right) x}\, a \sqrt{b}\, x^{\frac{3}{2}}}"," ",0,"-1/3*(b*x+a)^(1/2)/x^(3/2)*(-3*B*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x^2*a*b+2*A*x*b^(3/2)*((b*x+a)*x)^(1/2)+6*B*x*a*((b*x+a)*x)^(1/2)*b^(1/2)+2*A*a*((b*x+a)*x)^(1/2)*b^(1/2))/((b*x+a)*x)^(1/2)/a/b^(1/2)","B"
485,1,31,41,0.004000," ","int((B*x+A)*(b*x+a)^(1/2)/x^(7/2),x)","-\frac{2 \left(b x +a \right)^{\frac{3}{2}} \left(-2 A x b +5 B a x +3 A a \right)}{15 a^{2} x^{\frac{5}{2}}}"," ",0,"-2/15*(b*x+a)^(3/2)*(-2*A*b*x+5*B*a*x+3*A*a)/x^(5/2)/a^2","A"
486,1,53,66,0.004000," ","int((B*x+A)*(b*x+a)^(1/2)/x^(9/2),x)","-\frac{2 \left(b x +a \right)^{\frac{3}{2}} \left(8 A \,b^{2} x^{2}-14 B a b \,x^{2}-12 A a b x +21 B \,a^{2} x +15 A \,a^{2}\right)}{105 a^{3} x^{\frac{7}{2}}}"," ",0,"-2/105*(b*x+a)^(3/2)*(8*A*b^2*x^2-14*B*a*b*x^2-12*A*a*b*x+21*B*a^2*x+15*A*a^2)/x^(7/2)/a^3","A"
487,1,77,93,0.005000," ","int((B*x+A)*(b*x+a)^(1/2)/x^(11/2),x)","-\frac{2 \left(b x +a \right)^{\frac{3}{2}} \left(-16 A \,b^{3} x^{3}+24 B a \,b^{2} x^{3}+24 A a \,b^{2} x^{2}-36 B \,a^{2} b \,x^{2}-30 A \,a^{2} b x +45 B \,a^{3} x +35 A \,a^{3}\right)}{315 a^{4} x^{\frac{9}{2}}}"," ",0,"-2/315*(b*x+a)^(3/2)*(-16*A*b^3*x^3+24*B*a*b^2*x^3+24*A*a*b^2*x^2-36*B*a^2*b*x^2-30*A*a^2*b*x+45*B*a^3*x+35*A*a^3)/x^(9/2)/a^4","A"
488,1,101,120,0.006000," ","int((B*x+A)*(b*x+a)^(1/2)/x^(13/2),x)","-\frac{2 \left(b x +a \right)^{\frac{3}{2}} \left(128 A \,b^{4} x^{4}-176 B a \,b^{3} x^{4}-192 A a \,b^{3} x^{3}+264 B \,a^{2} b^{2} x^{3}+240 A \,a^{2} b^{2} x^{2}-330 B \,a^{3} b \,x^{2}-280 A \,a^{3} b x +385 B \,a^{4} x +315 A \,a^{4}\right)}{3465 a^{5} x^{\frac{11}{2}}}"," ",0,"-2/3465*(b*x+a)^(3/2)*(128*A*b^4*x^4-176*B*a*b^3*x^4-192*A*a*b^3*x^3+264*B*a^2*b^2*x^3+240*A*a^2*b^2*x^2-330*B*a^3*b*x^2-280*A*a^3*b*x+385*B*a^4*x+315*A*a^4)/x^(11/2)/a^5","A"
489,1,125,147,0.006000," ","int((B*x+A)*(b*x+a)^(1/2)/x^(15/2),x)","-\frac{2 \left(b x +a \right)^{\frac{3}{2}} \left(-1280 A \,b^{5} x^{5}+1664 B a \,b^{4} x^{5}+1920 A a \,b^{4} x^{4}-2496 B \,a^{2} b^{3} x^{4}-2400 A \,a^{2} b^{3} x^{3}+3120 B \,a^{3} b^{2} x^{3}+2800 A \,a^{3} b^{2} x^{2}-3640 B \,a^{4} b \,x^{2}-3150 A \,a^{4} b x +4095 B \,a^{5} x +3465 A \,a^{5}\right)}{45045 a^{6} x^{\frac{13}{2}}}"," ",0,"-2/45045*(b*x+a)^(3/2)*(-1280*A*b^5*x^5+1664*B*a*b^4*x^5+1920*A*a*b^4*x^4-2496*B*a^2*b^3*x^4-2400*A*a^2*b^3*x^3+3120*B*a^3*b^2*x^3+2800*A*a^3*b^2*x^2-3640*B*a^4*b*x^2-3150*A*a^4*b*x+4095*B*a^5*x+3465*A*a^5)/x^(13/2)/a^6","A"
490,1,302,179,0.016000," ","int(x^(5/2)*(b*x+a)^(3/2)*(B*x+A),x)","-\frac{\sqrt{b x +a}\, \left(-2560 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{11}{2}} x^{5}-3072 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{11}{2}} x^{4}-3328 \sqrt{\left(b x +a \right) x}\, B a \,b^{\frac{9}{2}} x^{4}-4224 \sqrt{\left(b x +a \right) x}\, A a \,b^{\frac{9}{2}} x^{3}-96 \sqrt{\left(b x +a \right) x}\, B \,a^{2} b^{\frac{7}{2}} x^{3}-192 \sqrt{\left(b x +a \right) x}\, A \,a^{2} b^{\frac{7}{2}} x^{2}+112 \sqrt{\left(b x +a \right) x}\, B \,a^{3} b^{\frac{5}{2}} x^{2}+180 A \,a^{5} b \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-105 B \,a^{6} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+240 \sqrt{\left(b x +a \right) x}\, A \,a^{3} b^{\frac{5}{2}} x -140 \sqrt{\left(b x +a \right) x}\, B \,a^{4} b^{\frac{3}{2}} x -360 \sqrt{\left(b x +a \right) x}\, A \,a^{4} b^{\frac{3}{2}}+210 \sqrt{\left(b x +a \right) x}\, B \,a^{5} \sqrt{b}\right) \sqrt{x}}{15360 \sqrt{\left(b x +a \right) x}\, b^{\frac{9}{2}}}"," ",0,"-1/15360*x^(1/2)*(b*x+a)^(1/2)/b^(9/2)*(-2560*B*x^5*b^(11/2)*((b*x+a)*x)^(1/2)-3072*A*x^4*b^(11/2)*((b*x+a)*x)^(1/2)-3328*B*x^4*a*b^(9/2)*((b*x+a)*x)^(1/2)-4224*A*x^3*a*b^(9/2)*((b*x+a)*x)^(1/2)-96*B*x^3*a^2*b^(7/2)*((b*x+a)*x)^(1/2)-192*A*x^2*a^2*b^(7/2)*((b*x+a)*x)^(1/2)+112*B*x^2*a^3*b^(5/2)*((b*x+a)*x)^(1/2)+240*A*b^(5/2)*((b*x+a)*x)^(1/2)*x*a^3-140*B*b^(3/2)*((b*x+a)*x)^(1/2)*x*a^4+180*A*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*a^5*b-360*A*b^(3/2)*((b*x+a)*x)^(1/2)*a^4-105*B*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*a^6+210*B*b^(1/2)*((b*x+a)*x)^(1/2)*a^5)/((b*x+a)*x)^(1/2)","A"
491,1,260,152,0.012000," ","int(x^(3/2)*(b*x+a)^(3/2)*(B*x+A),x)","\frac{\sqrt{b x +a}\, \left(256 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{9}{2}} x^{4}+320 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{9}{2}} x^{3}+352 \sqrt{\left(b x +a \right) x}\, B a \,b^{\frac{7}{2}} x^{3}+480 \sqrt{\left(b x +a \right) x}\, A a \,b^{\frac{7}{2}} x^{2}+16 \sqrt{\left(b x +a \right) x}\, B \,a^{2} b^{\frac{5}{2}} x^{2}+30 A \,a^{4} b \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-15 B \,a^{5} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+40 \sqrt{\left(b x +a \right) x}\, A \,a^{2} b^{\frac{5}{2}} x -20 \sqrt{\left(b x +a \right) x}\, B \,a^{3} b^{\frac{3}{2}} x -60 \sqrt{\left(b x +a \right) x}\, A \,a^{3} b^{\frac{3}{2}}+30 \sqrt{\left(b x +a \right) x}\, B \,a^{4} \sqrt{b}\right) \sqrt{x}}{1280 \sqrt{\left(b x +a \right) x}\, b^{\frac{7}{2}}}"," ",0,"1/1280*x^(1/2)*(b*x+a)^(1/2)/b^(7/2)*(256*((b*x+a)*x)^(1/2)*B*b^(9/2)*x^4+320*((b*x+a)*x)^(1/2)*A*b^(9/2)*x^3+352*((b*x+a)*x)^(1/2)*B*a*b^(7/2)*x^3+480*((b*x+a)*x)^(1/2)*A*a*b^(7/2)*x^2+16*((b*x+a)*x)^(1/2)*B*a^2*b^(5/2)*x^2+40*((b*x+a)*x)^(1/2)*A*a^2*b^(5/2)*x-20*((b*x+a)*x)^(1/2)*B*a^3*b^(3/2)*x+30*A*a^4*b*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))-60*((b*x+a)*x)^(1/2)*A*a^3*b^(3/2)-15*B*a^5*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+30*((b*x+a)*x)^(1/2)*B*a^4*b^(1/2))/((b*x+a)*x)^(1/2)","A"
492,1,218,125,0.014000," ","int((b*x+a)^(3/2)*(B*x+A)*x^(1/2),x)","-\frac{\sqrt{b x +a}\, \left(-96 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{7}{2}} x^{3}-128 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{7}{2}} x^{2}-144 \sqrt{\left(b x +a \right) x}\, B a \,b^{\frac{5}{2}} x^{2}+24 A \,a^{3} b \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-9 B \,a^{4} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-224 \sqrt{\left(b x +a \right) x}\, A a \,b^{\frac{5}{2}} x -12 \sqrt{\left(b x +a \right) x}\, B \,a^{2} b^{\frac{3}{2}} x -48 \sqrt{\left(b x +a \right) x}\, A \,a^{2} b^{\frac{3}{2}}+18 \sqrt{\left(b x +a \right) x}\, B \,a^{3} \sqrt{b}\right) \sqrt{x}}{384 \sqrt{\left(b x +a \right) x}\, b^{\frac{5}{2}}}"," ",0,"-1/384*(b*x+a)^(1/2)*x^(1/2)/b^(5/2)*(-96*((b*x+a)*x)^(1/2)*B*b^(7/2)*x^3-128*((b*x+a)*x)^(1/2)*A*b^(7/2)*x^2-144*((b*x+a)*x)^(1/2)*B*a*b^(5/2)*x^2-224*((b*x+a)*x)^(1/2)*A*a*b^(5/2)*x-12*((b*x+a)*x)^(1/2)*B*a^2*b^(3/2)*x+24*A*a^3*b*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))-48*((b*x+a)*x)^(1/2)*A*a^2*b^(3/2)-9*B*a^4*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+18*((b*x+a)*x)^(1/2)*B*a^3*b^(1/2))/((b*x+a)*x)^(1/2)","A"
493,1,176,98,0.013000," ","int((b*x+a)^(3/2)*(B*x+A)/x^(1/2),x)","\frac{\sqrt{b x +a}\, \left(16 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{5}{2}} x^{2}+18 A \,a^{2} b \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-3 B \,a^{3} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+24 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{5}{2}} x +28 \sqrt{\left(b x +a \right) x}\, B a \,b^{\frac{3}{2}} x +60 \sqrt{\left(b x +a \right) x}\, A a \,b^{\frac{3}{2}}+6 \sqrt{\left(b x +a \right) x}\, B \,a^{2} \sqrt{b}\right) \sqrt{x}}{48 \sqrt{\left(b x +a \right) x}\, b^{\frac{3}{2}}}"," ",0,"1/48*(b*x+a)^(1/2)*x^(1/2)/b^(3/2)*(16*((b*x+a)*x)^(1/2)*B*b^(5/2)*x^2+24*((b*x+a)*x)^(1/2)*A*b^(5/2)*x+28*((b*x+a)*x)^(1/2)*B*a*b^(3/2)*x+18*A*a^2*b*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+60*((b*x+a)*x)^(1/2)*A*a*b^(3/2)-3*B*a^3*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+6*((b*x+a)*x)^(1/2)*B*a^2*b^(1/2))/((b*x+a)*x)^(1/2)","A"
494,1,158,89,0.014000," ","int((b*x+a)^(3/2)*(B*x+A)/x^(3/2),x)","\frac{\sqrt{b x +a}\, \left(12 A a b x \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+3 B \,a^{2} x \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+4 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{3}{2}} x^{2}+8 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{3}{2}} x +10 \sqrt{\left(b x +a \right) x}\, B a \sqrt{b}\, x -16 \sqrt{\left(b x +a \right) x}\, A a \sqrt{b}\right)}{8 \sqrt{\left(b x +a \right) x}\, \sqrt{b}\, \sqrt{x}}"," ",0,"1/8*(b*x+a)^(1/2)*(4*B*b^(3/2)*((b*x+a)*x)^(1/2)*x^2+12*A*b*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x*a+8*((b*x+a)*x)^(1/2)*A*b^(3/2)*x+3*B*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x*a^2+10*((b*x+a)*x)^(1/2)*B*a*b^(1/2)*x-16*((b*x+a)*x)^(1/2)*A*a*b^(1/2))/x^(1/2)/((b*x+a)*x)^(1/2)/b^(1/2)","A"
495,1,162,93,0.018000," ","int((b*x+a)^(3/2)*(B*x+A)/x^(5/2),x)","\frac{\sqrt{b x +a}\, \left(6 A \,b^{2} x^{2} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+9 B a b \,x^{2} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+6 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{3}{2}} x^{2}-16 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{3}{2}} x -12 \sqrt{\left(b x +a \right) x}\, B a \sqrt{b}\, x -4 \sqrt{\left(b x +a \right) x}\, A a \sqrt{b}\right)}{6 \sqrt{\left(b x +a \right) x}\, \sqrt{b}\, x^{\frac{3}{2}}}"," ",0,"1/6*(b*x+a)^(1/2)/x^(3/2)*(6*A*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x^2*b^2+9*B*a*b*x^2*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+6*((b*x+a)*x)^(1/2)*B*b^(3/2)*x^2-16*((b*x+a)*x)^(1/2)*A*b^(3/2)*x-12*((b*x+a)*x)^(1/2)*B*a*b^(1/2)*x-4*((b*x+a)*x)^(1/2)*A*a*b^(1/2))/((b*x+a)*x)^(1/2)/b^(1/2)","A"
496,1,156,65,0.016000," ","int((b*x+a)^(3/2)*(B*x+A)/x^(7/2),x)","-\frac{\sqrt{b x +a}\, \left(-15 B a \,b^{2} x^{3} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+6 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{5}{2}} x^{2}+40 \sqrt{\left(b x +a \right) x}\, B a \,b^{\frac{3}{2}} x^{2}+12 \sqrt{\left(b x +a \right) x}\, A a \,b^{\frac{3}{2}} x +10 \sqrt{\left(b x +a \right) x}\, B \,a^{2} \sqrt{b}\, x +6 \sqrt{\left(b x +a \right) x}\, A \,a^{2} \sqrt{b}\right)}{15 \sqrt{\left(b x +a \right) x}\, a \sqrt{b}\, x^{\frac{5}{2}}}"," ",0,"-1/15*(b*x+a)^(1/2)/x^(5/2)*(-15*B*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x^3*a*b^2+6*A*b^(5/2)*((b*x+a)*x)^(1/2)*x^2+40*B*b^(3/2)*((b*x+a)*x)^(1/2)*x^2*a+12*A*x*a*b^(3/2)*((b*x+a)*x)^(1/2)+10*B*x*a^2*((b*x+a)*x)^(1/2)*b^(1/2)+6*A*a^2*((b*x+a)*x)^(1/2)*b^(1/2))/a/((b*x+a)*x)^(1/2)/b^(1/2)","B"
497,1,31,41,0.005000," ","int((b*x+a)^(3/2)*(B*x+A)/x^(9/2),x)","-\frac{2 \left(b x +a \right)^{\frac{5}{2}} \left(-2 A x b +7 B a x +5 A a \right)}{35 a^{2} x^{\frac{7}{2}}}"," ",0,"-2/35*(b*x+a)^(5/2)*(-2*A*b*x+7*B*a*x+5*A*a)/x^(7/2)/a^2","A"
498,1,53,66,0.005000," ","int((b*x+a)^(3/2)*(B*x+A)/x^(11/2),x)","-\frac{2 \left(b x +a \right)^{\frac{5}{2}} \left(8 A \,b^{2} x^{2}-18 B a b \,x^{2}-20 A a b x +45 B \,a^{2} x +35 A \,a^{2}\right)}{315 a^{3} x^{\frac{9}{2}}}"," ",0,"-2/315*(b*x+a)^(5/2)*(8*A*b^2*x^2-18*B*a*b*x^2-20*A*a*b*x+45*B*a^2*x+35*A*a^2)/x^(9/2)/a^3","A"
499,1,77,93,0.007000," ","int((b*x+a)^(3/2)*(B*x+A)/x^(13/2),x)","-\frac{2 \left(b x +a \right)^{\frac{5}{2}} \left(-48 A \,b^{3} x^{3}+88 B a \,b^{2} x^{3}+120 A a \,b^{2} x^{2}-220 B \,a^{2} b \,x^{2}-210 A \,a^{2} b x +385 B \,a^{3} x +315 A \,a^{3}\right)}{3465 a^{4} x^{\frac{11}{2}}}"," ",0,"-2/3465*(b*x+a)^(5/2)*(-48*A*b^3*x^3+88*B*a*b^2*x^3+120*A*a*b^2*x^2-220*B*a^2*b*x^2-210*A*a^2*b*x+385*B*a^3*x+315*A*a^3)/x^(11/2)/a^4","A"
500,1,101,120,0.007000," ","int((b*x+a)^(3/2)*(B*x+A)/x^(15/2),x)","-\frac{2 \left(b x +a \right)^{\frac{5}{2}} \left(128 A \,b^{4} x^{4}-208 B a \,b^{3} x^{4}-320 A a \,b^{3} x^{3}+520 B \,a^{2} b^{2} x^{3}+560 A \,a^{2} b^{2} x^{2}-910 B \,a^{3} b \,x^{2}-840 A \,a^{3} b x +1365 B \,a^{4} x +1155 A \,a^{4}\right)}{15015 a^{5} x^{\frac{13}{2}}}"," ",0,"-2/15015*(b*x+a)^(5/2)*(128*A*b^4*x^4-208*B*a*b^3*x^4-320*A*a*b^3*x^3+520*B*a^2*b^2*x^3+560*A*a^2*b^2*x^2-910*B*a^3*b*x^2-840*A*a^3*b*x+1365*B*a^4*x+1155*A*a^4)/x^(13/2)/a^5","A"
501,1,125,147,0.008000," ","int((b*x+a)^(3/2)*(B*x+A)/x^(17/2),x)","-\frac{2 \left(b x +a \right)^{\frac{5}{2}} \left(-256 A \,b^{5} x^{5}+384 B a \,b^{4} x^{5}+640 A a \,b^{4} x^{4}-960 B \,a^{2} b^{3} x^{4}-1120 A \,a^{2} b^{3} x^{3}+1680 B \,a^{3} b^{2} x^{3}+1680 A \,a^{3} b^{2} x^{2}-2520 B \,a^{4} b \,x^{2}-2310 A \,a^{4} b x +3465 B \,a^{5} x +3003 A \,a^{5}\right)}{45045 a^{6} x^{\frac{15}{2}}}"," ",0,"-2/45045*(b*x+a)^(5/2)*(-256*A*b^5*x^5+384*B*a*b^4*x^5+640*A*a*b^4*x^4-960*B*a^2*b^3*x^4-1120*A*a^2*b^3*x^3+1680*B*a^3*b^2*x^3+1680*A*a^3*b^2*x^2-2520*B*a^4*b*x^2-2310*A*a^4*b*x+3465*B*a^5*x+3003*A*a^5)/x^(15/2)/a^6","A"
502,1,302,179,0.013000," ","int(x^(3/2)*(b*x+a)^(5/2)*(B*x+A),x)","\frac{\sqrt{b x +a}\, \left(2560 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{11}{2}} x^{5}+3072 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{11}{2}} x^{4}+6400 \sqrt{\left(b x +a \right) x}\, B a \,b^{\frac{9}{2}} x^{4}+8064 \sqrt{\left(b x +a \right) x}\, A a \,b^{\frac{9}{2}} x^{3}+4320 \sqrt{\left(b x +a \right) x}\, B \,a^{2} b^{\frac{7}{2}} x^{3}+5952 \sqrt{\left(b x +a \right) x}\, A \,a^{2} b^{\frac{7}{2}} x^{2}+80 \sqrt{\left(b x +a \right) x}\, B \,a^{3} b^{\frac{5}{2}} x^{2}+180 A \,a^{5} b \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-75 B \,a^{6} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+240 \sqrt{\left(b x +a \right) x}\, A \,a^{3} b^{\frac{5}{2}} x -100 \sqrt{\left(b x +a \right) x}\, B \,a^{4} b^{\frac{3}{2}} x -360 \sqrt{\left(b x +a \right) x}\, A \,a^{4} b^{\frac{3}{2}}+150 \sqrt{\left(b x +a \right) x}\, B \,a^{5} \sqrt{b}\right) \sqrt{x}}{15360 \sqrt{\left(b x +a \right) x}\, b^{\frac{7}{2}}}"," ",0,"1/15360*x^(1/2)*(b*x+a)^(1/2)/b^(7/2)*(2560*((b*x+a)*x)^(1/2)*B*b^(11/2)*x^5+3072*((b*x+a)*x)^(1/2)*A*b^(11/2)*x^4+6400*((b*x+a)*x)^(1/2)*B*a*b^(9/2)*x^4+8064*((b*x+a)*x)^(1/2)*A*a*b^(9/2)*x^3+4320*((b*x+a)*x)^(1/2)*B*a^2*b^(7/2)*x^3+5952*((b*x+a)*x)^(1/2)*A*a^2*b^(7/2)*x^2+80*((b*x+a)*x)^(1/2)*B*a^3*b^(5/2)*x^2+240*((b*x+a)*x)^(1/2)*A*a^3*b^(5/2)*x-100*((b*x+a)*x)^(1/2)*B*a^4*b^(3/2)*x+180*A*a^5*b*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))-360*((b*x+a)*x)^(1/2)*A*a^4*b^(3/2)-75*B*a^6*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+150*((b*x+a)*x)^(1/2)*B*a^5*b^(1/2))/((b*x+a)*x)^(1/2)","A"
503,1,260,152,0.014000," ","int((b*x+a)^(5/2)*(B*x+A)*x^(1/2),x)","-\frac{\sqrt{b x +a}\, \left(-768 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{9}{2}} x^{4}-960 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{9}{2}} x^{3}-2016 \sqrt{\left(b x +a \right) x}\, B a \,b^{\frac{7}{2}} x^{3}-2720 \sqrt{\left(b x +a \right) x}\, A a \,b^{\frac{7}{2}} x^{2}-1488 \sqrt{\left(b x +a \right) x}\, B \,a^{2} b^{\frac{5}{2}} x^{2}+150 A \,a^{4} b \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-45 B \,a^{5} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-2360 \sqrt{\left(b x +a \right) x}\, A \,a^{2} b^{\frac{5}{2}} x -60 \sqrt{\left(b x +a \right) x}\, B \,a^{3} b^{\frac{3}{2}} x -300 \sqrt{\left(b x +a \right) x}\, A \,a^{3} b^{\frac{3}{2}}+90 \sqrt{\left(b x +a \right) x}\, B \,a^{4} \sqrt{b}\right) \sqrt{x}}{3840 \sqrt{\left(b x +a \right) x}\, b^{\frac{5}{2}}}"," ",0,"-1/3840*(b*x+a)^(1/2)*x^(1/2)/b^(5/2)*(-768*((b*x+a)*x)^(1/2)*B*b^(9/2)*x^4-960*((b*x+a)*x)^(1/2)*A*b^(9/2)*x^3-2016*((b*x+a)*x)^(1/2)*B*a*b^(7/2)*x^3-2720*((b*x+a)*x)^(1/2)*A*a*b^(7/2)*x^2-1488*((b*x+a)*x)^(1/2)*B*a^2*b^(5/2)*x^2-2360*((b*x+a)*x)^(1/2)*A*a^2*b^(5/2)*x-60*((b*x+a)*x)^(1/2)*B*a^3*b^(3/2)*x+150*A*a^4*b*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))-300*((b*x+a)*x)^(1/2)*A*a^3*b^(3/2)-45*B*a^5*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+90*((b*x+a)*x)^(1/2)*B*a^4*b^(1/2))/((b*x+a)*x)^(1/2)","A"
504,1,218,125,0.015000," ","int((b*x+a)^(5/2)*(B*x+A)/x^(1/2),x)","\frac{\sqrt{b x +a}\, \left(96 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{7}{2}} x^{3}+128 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{7}{2}} x^{2}+272 \sqrt{\left(b x +a \right) x}\, B a \,b^{\frac{5}{2}} x^{2}+120 A \,a^{3} b \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-15 B \,a^{4} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+416 \sqrt{\left(b x +a \right) x}\, A a \,b^{\frac{5}{2}} x +236 \sqrt{\left(b x +a \right) x}\, B \,a^{2} b^{\frac{3}{2}} x +528 \sqrt{\left(b x +a \right) x}\, A \,a^{2} b^{\frac{3}{2}}+30 \sqrt{\left(b x +a \right) x}\, B \,a^{3} \sqrt{b}\right) \sqrt{x}}{384 \sqrt{\left(b x +a \right) x}\, b^{\frac{3}{2}}}"," ",0,"1/384*(b*x+a)^(1/2)*x^(1/2)/b^(3/2)*(96*((b*x+a)*x)^(1/2)*B*b^(7/2)*x^3+128*((b*x+a)*x)^(1/2)*A*b^(7/2)*x^2+272*((b*x+a)*x)^(1/2)*B*a*b^(5/2)*x^2+416*((b*x+a)*x)^(1/2)*A*a*b^(5/2)*x+236*((b*x+a)*x)^(1/2)*B*a^2*b^(3/2)*x+120*A*a^3*b*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+528*((b*x+a)*x)^(1/2)*A*a^2*b^(3/2)-15*B*a^4*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+30*((b*x+a)*x)^(1/2)*B*a^3*b^(1/2))/((b*x+a)*x)^(1/2)","A"
505,1,202,112,0.016000," ","int((b*x+a)^(5/2)*(B*x+A)/x^(3/2),x)","\frac{\sqrt{b x +a}\, \left(16 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{5}{2}} x^{3}+90 A \,a^{2} b x \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+15 B \,a^{3} x \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+24 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{5}{2}} x^{2}+52 \sqrt{\left(b x +a \right) x}\, B a \,b^{\frac{3}{2}} x^{2}+108 \sqrt{\left(b x +a \right) x}\, A a \,b^{\frac{3}{2}} x +66 \sqrt{\left(b x +a \right) x}\, B \,a^{2} \sqrt{b}\, x -96 \sqrt{\left(b x +a \right) x}\, A \,a^{2} \sqrt{b}\right)}{48 \sqrt{\left(b x +a \right) x}\, \sqrt{b}\, \sqrt{x}}"," ",0,"1/48*(b*x+a)^(1/2)*(16*B*b^(5/2)*((b*x+a)*x)^(1/2)*x^3+24*((b*x+a)*x)^(1/2)*A*b^(5/2)*x^2+52*((b*x+a)*x)^(1/2)*B*a*b^(3/2)*x^2+90*A*b*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x*a^2+108*((b*x+a)*x)^(1/2)*A*a*b^(3/2)*x+15*B*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x*a^3+66*((b*x+a)*x)^(1/2)*B*a^2*b^(1/2)*x-96*((b*x+a)*x)^(1/2)*A*a^2*b^(1/2))/x^(1/2)/((b*x+a)*x)^(1/2)/b^(1/2)","A"
506,1,207,118,0.014000," ","int((b*x+a)^(5/2)*(B*x+A)/x^(5/2),x)","\frac{\sqrt{b x +a}\, \left(60 A a \,b^{2} x^{2} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+45 B \,a^{2} b \,x^{2} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+12 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{5}{2}} x^{3}+24 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{5}{2}} x^{2}+54 \sqrt{\left(b x +a \right) x}\, B a \,b^{\frac{3}{2}} x^{2}-112 \sqrt{\left(b x +a \right) x}\, A a \,b^{\frac{3}{2}} x -48 \sqrt{\left(b x +a \right) x}\, B \,a^{2} \sqrt{b}\, x -16 \sqrt{\left(b x +a \right) x}\, A \,a^{2} \sqrt{b}\right)}{24 \sqrt{\left(b x +a \right) x}\, \sqrt{b}\, x^{\frac{3}{2}}}"," ",0,"1/24*(b*x+a)^(1/2)/x^(3/2)*(12*((b*x+a)*x)^(1/2)*B*b^(5/2)*x^3+60*A*b^2*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x^2*a+24*((b*x+a)*x)^(1/2)*A*b^(5/2)*x^2+45*B*b*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x^2*a^2+54*((b*x+a)*x)^(1/2)*B*a*b^(3/2)*x^2-112*((b*x+a)*x)^(1/2)*A*a*b^(3/2)*x-48*((b*x+a)*x)^(1/2)*B*a^2*b^(1/2)*x-16*((b*x+a)*x)^(1/2)*A*a^2*b^(1/2))/((b*x+a)*x)^(1/2)/b^(1/2)","A"
507,1,206,120,0.014000," ","int((b*x+a)^(5/2)*(B*x+A)/x^(7/2),x)","\frac{\sqrt{b x +a}\, \left(30 A \,b^{3} x^{3} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+75 B a \,b^{2} x^{3} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+30 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{5}{2}} x^{3}-92 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{5}{2}} x^{2}-140 \sqrt{\left(b x +a \right) x}\, B a \,b^{\frac{3}{2}} x^{2}-44 \sqrt{\left(b x +a \right) x}\, A a \,b^{\frac{3}{2}} x -20 \sqrt{\left(b x +a \right) x}\, B \,a^{2} \sqrt{b}\, x -12 \sqrt{\left(b x +a \right) x}\, A \,a^{2} \sqrt{b}\right)}{30 \sqrt{\left(b x +a \right) x}\, \sqrt{b}\, x^{\frac{5}{2}}}"," ",0,"1/30*(b*x+a)^(1/2)/x^(5/2)*(30*A*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x^3*b^3+75*B*a*b^2*x^3*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+30*((b*x+a)*x)^(1/2)*B*b^(5/2)*x^3-92*((b*x+a)*x)^(1/2)*A*b^(5/2)*x^2-140*((b*x+a)*x)^(1/2)*B*a*b^(3/2)*x^2-44*((b*x+a)*x)^(1/2)*A*a*b^(3/2)*x-20*((b*x+a)*x)^(1/2)*B*a^2*b^(1/2)*x-12*((b*x+a)*x)^(1/2)*A*a^2*b^(1/2))/((b*x+a)*x)^(1/2)/b^(1/2)","A"
508,1,198,81,0.015000," ","int((b*x+a)^(5/2)*(B*x+A)/x^(9/2),x)","-\frac{\sqrt{b x +a}\, \left(-105 B a \,b^{3} x^{4} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+30 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{7}{2}} x^{3}+322 \sqrt{\left(b x +a \right) x}\, B a \,b^{\frac{5}{2}} x^{3}+90 \sqrt{\left(b x +a \right) x}\, A a \,b^{\frac{5}{2}} x^{2}+154 \sqrt{\left(b x +a \right) x}\, B \,a^{2} b^{\frac{3}{2}} x^{2}+90 \sqrt{\left(b x +a \right) x}\, A \,a^{2} b^{\frac{3}{2}} x +42 \sqrt{\left(b x +a \right) x}\, B \,a^{3} \sqrt{b}\, x +30 \sqrt{\left(b x +a \right) x}\, A \,a^{3} \sqrt{b}\right)}{105 \sqrt{\left(b x +a \right) x}\, a \sqrt{b}\, x^{\frac{7}{2}}}"," ",0,"-1/105*(b*x+a)^(1/2)/x^(7/2)*(-105*B*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x^4*a*b^3+30*A*((b*x+a)*x)^(1/2)*b^(7/2)*x^3+322*B*((b*x+a)*x)^(1/2)*b^(5/2)*x^3*a+90*A*((b*x+a)*x)^(1/2)*b^(5/2)*x^2*a+154*B*((b*x+a)*x)^(1/2)*b^(3/2)*x^2*a^2+90*A*x*a^2*b^(3/2)*((b*x+a)*x)^(1/2)+42*B*x*a^3*((b*x+a)*x)^(1/2)*b^(1/2)+30*A*a^3*((b*x+a)*x)^(1/2)*b^(1/2))/a/((b*x+a)*x)^(1/2)/b^(1/2)","B"
509,1,31,41,0.005000," ","int((b*x+a)^(5/2)*(B*x+A)/x^(11/2),x)","-\frac{2 \left(b x +a \right)^{\frac{7}{2}} \left(-2 A x b +9 B a x +7 A a \right)}{63 a^{2} x^{\frac{9}{2}}}"," ",0,"-2/63*(b*x+a)^(7/2)*(-2*A*b*x+9*B*a*x+7*A*a)/x^(9/2)/a^2","A"
510,1,53,66,0.004000," ","int((b*x+a)^(5/2)*(B*x+A)/x^(13/2),x)","-\frac{2 \left(b x +a \right)^{\frac{7}{2}} \left(8 A \,b^{2} x^{2}-22 B a b \,x^{2}-28 A a b x +77 B \,a^{2} x +63 A \,a^{2}\right)}{693 a^{3} x^{\frac{11}{2}}}"," ",0,"-2/693*(b*x+a)^(7/2)*(8*A*b^2*x^2-22*B*a*b*x^2-28*A*a*b*x+77*B*a^2*x+63*A*a^2)/x^(11/2)/a^3","A"
511,1,77,93,0.006000," ","int((b*x+a)^(5/2)*(B*x+A)/x^(15/2),x)","-\frac{2 \left(b x +a \right)^{\frac{7}{2}} \left(-48 A \,b^{3} x^{3}+104 B a \,b^{2} x^{3}+168 A a \,b^{2} x^{2}-364 B \,a^{2} b \,x^{2}-378 A \,a^{2} b x +819 B \,a^{3} x +693 A \,a^{3}\right)}{9009 a^{4} x^{\frac{13}{2}}}"," ",0,"-2/9009*(b*x+a)^(7/2)*(-48*A*b^3*x^3+104*B*a*b^2*x^3+168*A*a*b^2*x^2-364*B*a^2*b*x^2-378*A*a^2*b*x+819*B*a^3*x+693*A*a^3)/x^(13/2)/a^4","A"
512,1,101,120,0.007000," ","int((b*x+a)^(5/2)*(B*x+A)/x^(17/2),x)","-\frac{2 \left(b x +a \right)^{\frac{7}{2}} \left(128 A \,b^{4} x^{4}-240 B a \,b^{3} x^{4}-448 A a \,b^{3} x^{3}+840 B \,a^{2} b^{2} x^{3}+1008 A \,a^{2} b^{2} x^{2}-1890 B \,a^{3} b \,x^{2}-1848 A \,a^{3} b x +3465 B \,a^{4} x +3003 A \,a^{4}\right)}{45045 a^{5} x^{\frac{15}{2}}}"," ",0,"-2/45045*(b*x+a)^(7/2)*(128*A*b^4*x^4-240*B*a*b^3*x^4-448*A*a*b^3*x^3+840*B*a^2*b^2*x^3+1008*A*a^2*b^2*x^2-1890*B*a^3*b*x^2-1848*A*a^3*b*x+3465*B*a^4*x+3003*A*a^4)/x^(15/2)/a^5","A"
513,1,125,147,0.007000," ","int((b*x+a)^(5/2)*(B*x+A)/x^(19/2),x)","-\frac{2 \left(b x +a \right)^{\frac{7}{2}} \left(-1280 A \,b^{5} x^{5}+2176 B a \,b^{4} x^{5}+4480 A a \,b^{4} x^{4}-7616 B \,a^{2} b^{3} x^{4}-10080 A \,a^{2} b^{3} x^{3}+17136 B \,a^{3} b^{2} x^{3}+18480 A \,a^{3} b^{2} x^{2}-31416 B \,a^{4} b \,x^{2}-30030 A \,a^{4} b x +51051 B \,a^{5} x +45045 A \,a^{5}\right)}{765765 a^{6} x^{\frac{17}{2}}}"," ",0,"-2/765765*(b*x+a)^(7/2)*(-1280*A*b^5*x^5+2176*B*a*b^4*x^5+4480*A*a*b^4*x^4-7616*B*a^2*b^3*x^4-10080*A*a^2*b^3*x^3+17136*B*a^3*b^2*x^3+18480*A*a^3*b^2*x^2-31416*B*a^4*b*x^2-30030*A*a^4*b*x+51051*B*a^5*x+45045*A*a^5)/x^(17/2)/a^6","A"
514,1,260,152,0.018000," ","int(x^(7/2)*(B*x+A)/(b*x+a)^(1/2),x)","\frac{\sqrt{b x +a}\, \left(768 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{9}{2}} x^{4}+960 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{9}{2}} x^{3}-864 \sqrt{\left(b x +a \right) x}\, B a \,b^{\frac{7}{2}} x^{3}-1120 \sqrt{\left(b x +a \right) x}\, A a \,b^{\frac{7}{2}} x^{2}+1008 \sqrt{\left(b x +a \right) x}\, B \,a^{2} b^{\frac{5}{2}} x^{2}+1050 A \,a^{4} b \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-945 B \,a^{5} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+1400 \sqrt{\left(b x +a \right) x}\, A \,a^{2} b^{\frac{5}{2}} x -1260 \sqrt{\left(b x +a \right) x}\, B \,a^{3} b^{\frac{3}{2}} x -2100 \sqrt{\left(b x +a \right) x}\, A \,a^{3} b^{\frac{3}{2}}+1890 \sqrt{\left(b x +a \right) x}\, B \,a^{4} \sqrt{b}\right) \sqrt{x}}{3840 \sqrt{\left(b x +a \right) x}\, b^{\frac{11}{2}}}"," ",0,"1/3840*x^(1/2)*(b*x+a)^(1/2)/b^(11/2)*(768*((b*x+a)*x)^(1/2)*B*b^(9/2)*x^4+960*((b*x+a)*x)^(1/2)*A*b^(9/2)*x^3-864*((b*x+a)*x)^(1/2)*B*a*b^(7/2)*x^3-1120*((b*x+a)*x)^(1/2)*A*a*b^(7/2)*x^2+1008*((b*x+a)*x)^(1/2)*B*a^2*b^(5/2)*x^2+1400*((b*x+a)*x)^(1/2)*A*a^2*b^(5/2)*x-1260*((b*x+a)*x)^(1/2)*B*a^3*b^(3/2)*x+1050*A*a^4*b*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))-2100*((b*x+a)*x)^(1/2)*A*a^3*b^(3/2)-945*B*a^5*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+1890*((b*x+a)*x)^(1/2)*B*a^4*b^(1/2))/((b*x+a)*x)^(1/2)","A"
515,1,218,125,0.016000," ","int(x^(5/2)*(B*x+A)/(b*x+a)^(1/2),x)","-\frac{\sqrt{b x +a}\, \left(-96 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{7}{2}} x^{3}-128 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{7}{2}} x^{2}+112 \sqrt{\left(b x +a \right) x}\, B a \,b^{\frac{5}{2}} x^{2}+120 A \,a^{3} b \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-105 B \,a^{4} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+160 \sqrt{\left(b x +a \right) x}\, A a \,b^{\frac{5}{2}} x -140 \sqrt{\left(b x +a \right) x}\, B \,a^{2} b^{\frac{3}{2}} x -240 \sqrt{\left(b x +a \right) x}\, A \,a^{2} b^{\frac{3}{2}}+210 \sqrt{\left(b x +a \right) x}\, B \,a^{3} \sqrt{b}\right) \sqrt{x}}{384 \sqrt{\left(b x +a \right) x}\, b^{\frac{9}{2}}}"," ",0,"-1/384*x^(1/2)*(b*x+a)^(1/2)/b^(9/2)*(-96*((b*x+a)*x)^(1/2)*B*b^(7/2)*x^3-128*((b*x+a)*x)^(1/2)*A*b^(7/2)*x^2+112*((b*x+a)*x)^(1/2)*B*a*b^(5/2)*x^2+160*((b*x+a)*x)^(1/2)*A*a*b^(5/2)*x-140*((b*x+a)*x)^(1/2)*B*a^2*b^(3/2)*x+120*A*a^3*b*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))-240*((b*x+a)*x)^(1/2)*A*a^2*b^(3/2)-105*B*a^4*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+210*((b*x+a)*x)^(1/2)*B*a^3*b^(1/2))/((b*x+a)*x)^(1/2)","A"
516,1,176,98,0.015000," ","int(x^(3/2)*(B*x+A)/(b*x+a)^(1/2),x)","\frac{\sqrt{b x +a}\, \left(16 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{5}{2}} x^{2}+18 A \,a^{2} b \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-15 B \,a^{3} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+24 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{5}{2}} x -20 \sqrt{\left(b x +a \right) x}\, B a \,b^{\frac{3}{2}} x -36 \sqrt{\left(b x +a \right) x}\, A a \,b^{\frac{3}{2}}+30 \sqrt{\left(b x +a \right) x}\, B \,a^{2} \sqrt{b}\right) \sqrt{x}}{48 \sqrt{\left(b x +a \right) x}\, b^{\frac{7}{2}}}"," ",0,"1/48*x^(1/2)*(b*x+a)^(1/2)/b^(7/2)*(16*((b*x+a)*x)^(1/2)*B*b^(5/2)*x^2+24*((b*x+a)*x)^(1/2)*A*b^(5/2)*x-20*((b*x+a)*x)^(1/2)*B*a*b^(3/2)*x+18*A*a^2*b*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))-36*((b*x+a)*x)^(1/2)*A*a*b^(3/2)-15*B*a^3*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+30*((b*x+a)*x)^(1/2)*B*a^2*b^(1/2))/((b*x+a)*x)^(1/2)","A"
517,1,136,71,0.012000," ","int((B*x+A)*x^(1/2)/(b*x+a)^(1/2),x)","-\frac{\sqrt{b x +a}\, \left(4 A a b \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-3 B \,a^{2} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-4 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{3}{2}} x -8 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{3}{2}}+6 \sqrt{\left(b x +a \right) x}\, B a \sqrt{b}\right) \sqrt{x}}{8 \sqrt{\left(b x +a \right) x}\, b^{\frac{5}{2}}}"," ",0,"-1/8*x^(1/2)*(b*x+a)^(1/2)/b^(5/2)*(-4*((b*x+a)*x)^(1/2)*B*b^(3/2)*x+4*A*a*b*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))-8*((b*x+a)*x)^(1/2)*A*b^(3/2)-3*B*a^2*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+6*((b*x+a)*x)^(1/2)*B*a*b^(1/2))/((b*x+a)*x)^(1/2)","A"
518,1,101,44,0.013000," ","int((B*x+A)/x^(1/2)/(b*x+a)^(1/2),x)","\frac{\sqrt{b x +a}\, \left(2 A b \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-B a \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+2 \sqrt{\left(b x +a \right) x}\, B \sqrt{b}\right) \sqrt{x}}{2 \sqrt{\left(b x +a \right) x}\, b^{\frac{3}{2}}}"," ",0,"1/2*x^(1/2)*(b*x+a)^(1/2)*(2*A*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*b+2*B*b^(1/2)*((b*x+a)*x)^(1/2)-B*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*a)/((b*x+a)*x)^(1/2)/b^(3/2)","B"
519,1,73,38,0.014000," ","int((B*x+A)/x^(3/2)/(b*x+a)^(1/2),x)","\frac{\left(B a x \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-2 \sqrt{\left(b x +a \right) x}\, A \sqrt{b}\right) \sqrt{b x +a}}{\sqrt{\left(b x +a \right) x}\, a \sqrt{b}\, \sqrt{x}}"," ",0,"(B*a*x*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))-2*((b*x+a)*x)^(1/2)*A*b^(1/2))*(b*x+a)^(1/2)/a/x^(1/2)/((b*x+a)*x)^(1/2)/b^(1/2)","A"
520,1,30,41,0.005000," ","int((B*x+A)/x^(5/2)/(b*x+a)^(1/2),x)","-\frac{2 \sqrt{b x +a}\, \left(-2 A x b +3 B a x +A a \right)}{3 a^{2} x^{\frac{3}{2}}}"," ",0,"-2/3*(b*x+a)^(1/2)*(-2*A*b*x+3*B*a*x+A*a)/x^(3/2)/a^2","A"
521,1,53,66,0.005000," ","int((B*x+A)/x^(7/2)/(b*x+a)^(1/2),x)","-\frac{2 \sqrt{b x +a}\, \left(8 A \,b^{2} x^{2}-10 B a b \,x^{2}-4 A a b x +5 B \,a^{2} x +3 A \,a^{2}\right)}{15 a^{3} x^{\frac{5}{2}}}"," ",0,"-2/15*(b*x+a)^(1/2)*(8*A*b^2*x^2-10*B*a*b*x^2-4*A*a*b*x+5*B*a^2*x+3*A*a^2)/x^(5/2)/a^3","A"
522,1,77,93,0.006000," ","int((B*x+A)/x^(9/2)/(b*x+a)^(1/2),x)","-\frac{2 \sqrt{b x +a}\, \left(-48 A \,b^{3} x^{3}+56 B a \,b^{2} x^{3}+24 A a \,b^{2} x^{2}-28 B \,a^{2} b \,x^{2}-18 A \,a^{2} b x +21 B \,a^{3} x +15 A \,a^{3}\right)}{105 a^{4} x^{\frac{7}{2}}}"," ",0,"-2/105*(b*x+a)^(1/2)*(-48*A*b^3*x^3+56*B*a*b^2*x^3+24*A*a*b^2*x^2-28*B*a^2*b*x^2-18*A*a^2*b*x+21*B*a^3*x+15*A*a^3)/x^(7/2)/a^4","A"
523,1,101,120,0.006000," ","int((B*x+A)/x^(11/2)/(b*x+a)^(1/2),x)","-\frac{2 \sqrt{b x +a}\, \left(128 A \,b^{4} x^{4}-144 B a \,b^{3} x^{4}-64 A a \,b^{3} x^{3}+72 B \,a^{2} b^{2} x^{3}+48 A \,a^{2} b^{2} x^{2}-54 B \,a^{3} b \,x^{2}-40 A \,a^{3} b x +45 B \,a^{4} x +35 A \,a^{4}\right)}{315 a^{5} x^{\frac{9}{2}}}"," ",0,"-2/315*(b*x+a)^(1/2)*(128*A*b^4*x^4-144*B*a*b^3*x^4-64*A*a*b^3*x^3+72*B*a^2*b^2*x^3+48*A*a^2*b^2*x^2-54*B*a^3*b*x^2-40*A*a^3*b*x+45*B*a^4*x+35*A*a^4)/x^(9/2)/a^5","A"
524,1,125,147,0.007000," ","int((B*x+A)/x^(13/2)/(b*x+a)^(1/2),x)","-\frac{2 \sqrt{b x +a}\, \left(-1280 A \,b^{5} x^{5}+1408 B a \,b^{4} x^{5}+640 A a \,b^{4} x^{4}-704 B \,a^{2} b^{3} x^{4}-480 A \,a^{2} b^{3} x^{3}+528 B \,a^{3} b^{2} x^{3}+400 A \,a^{3} b^{2} x^{2}-440 B \,a^{4} b \,x^{2}-350 A \,a^{4} b x +385 B \,a^{5} x +315 A \,a^{5}\right)}{3465 a^{6} x^{\frac{11}{2}}}"," ",0,"-2/3465*(b*x+a)^(1/2)*(-1280*A*b^5*x^5+1408*B*a*b^4*x^5+640*A*a*b^4*x^4-704*B*a^2*b^3*x^4-480*A*a^2*b^3*x^3+528*B*a^3*b^2*x^3+400*A*a^3*b^2*x^2-440*B*a^4*b*x^2-350*A*a^4*b*x+385*B*a^5*x+315*A*a^5)/x^(11/2)/a^6","A"
525,1,149,174,0.007000," ","int((B*x+A)/x^(15/2)/(b*x+a)^(1/2),x)","-\frac{2 \sqrt{b x +a}\, \left(3072 A \,b^{6} x^{6}-3328 B a \,b^{5} x^{6}-1536 A a \,b^{5} x^{5}+1664 B \,a^{2} b^{4} x^{5}+1152 A \,a^{2} b^{4} x^{4}-1248 B \,a^{3} b^{3} x^{4}-960 A \,a^{3} b^{3} x^{3}+1040 B \,a^{4} b^{2} x^{3}+840 A \,a^{4} b^{2} x^{2}-910 B \,a^{5} b \,x^{2}-756 A \,a^{5} b x +819 B \,a^{6} x +693 A \,a^{6}\right)}{9009 a^{7} x^{\frac{13}{2}}}"," ",0,"-2/9009*(b*x+a)^(1/2)*(3072*A*b^6*x^6-3328*B*a*b^5*x^6-1536*A*a*b^5*x^5+1664*B*a^2*b^4*x^5+1152*A*a^2*b^4*x^4-1248*B*a^3*b^3*x^4-960*A*a^3*b^3*x^3+1040*B*a^4*b^2*x^3+840*A*a^4*b^2*x^2-910*B*a^5*b*x^2-756*A*a^5*b*x+819*B*a^6*x+693*A*a^6)/x^(13/2)/a^7","A"
526,1,330,162,0.021000," ","int(x^(7/2)*(B*x+A)/(b*x+a)^(3/2),x)","-\frac{\left(-96 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{9}{2}} x^{4}-128 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{9}{2}} x^{3}+144 \sqrt{\left(b x +a \right) x}\, B a \,b^{\frac{7}{2}} x^{3}+840 A \,a^{3} b^{2} x \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-945 B \,a^{4} b x \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+224 \sqrt{\left(b x +a \right) x}\, A a \,b^{\frac{7}{2}} x^{2}-252 \sqrt{\left(b x +a \right) x}\, B \,a^{2} b^{\frac{5}{2}} x^{2}+840 A \,a^{4} b \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-945 B \,a^{5} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-560 \sqrt{\left(b x +a \right) x}\, A \,a^{2} b^{\frac{5}{2}} x +630 \sqrt{\left(b x +a \right) x}\, B \,a^{3} b^{\frac{3}{2}} x -1680 \sqrt{\left(b x +a \right) x}\, A \,a^{3} b^{\frac{3}{2}}+1890 \sqrt{\left(b x +a \right) x}\, B \,a^{4} \sqrt{b}\right) \sqrt{x}}{384 \sqrt{\left(b x +a \right) x}\, \sqrt{b x +a}\, b^{\frac{11}{2}}}"," ",0,"-1/384*(-96*((b*x+a)*x)^(1/2)*B*b^(9/2)*x^4-128*((b*x+a)*x)^(1/2)*A*b^(9/2)*x^3+144*((b*x+a)*x)^(1/2)*B*a*b^(7/2)*x^3+224*((b*x+a)*x)^(1/2)*A*a*b^(7/2)*x^2-252*((b*x+a)*x)^(1/2)*B*a^2*b^(5/2)*x^2+840*A*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x*a^3*b^2-560*((b*x+a)*x)^(1/2)*A*a^2*b^(5/2)*x-945*B*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x*a^4*b+630*((b*x+a)*x)^(1/2)*B*a^3*b^(3/2)*x+840*A*a^4*b*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))-1680*((b*x+a)*x)^(1/2)*A*a^3*b^(3/2)-945*B*a^5*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+1890*((b*x+a)*x)^(1/2)*B*a^4*b^(1/2))/b^(11/2)*x^(1/2)/((b*x+a)*x)^(1/2)/(b*x+a)^(1/2)","B"
527,1,288,135,0.020000," ","int(x^(5/2)*(B*x+A)/(b*x+a)^(3/2),x)","\frac{\left(16 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{7}{2}} x^{3}+90 A \,a^{2} b^{2} x \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-105 B \,a^{3} b x \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+24 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{7}{2}} x^{2}-28 \sqrt{\left(b x +a \right) x}\, B a \,b^{\frac{5}{2}} x^{2}+90 A \,a^{3} b \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-105 B \,a^{4} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-60 \sqrt{\left(b x +a \right) x}\, A a \,b^{\frac{5}{2}} x +70 \sqrt{\left(b x +a \right) x}\, B \,a^{2} b^{\frac{3}{2}} x -180 \sqrt{\left(b x +a \right) x}\, A \,a^{2} b^{\frac{3}{2}}+210 \sqrt{\left(b x +a \right) x}\, B \,a^{3} \sqrt{b}\right) \sqrt{x}}{48 \sqrt{\left(b x +a \right) x}\, \sqrt{b x +a}\, b^{\frac{9}{2}}}"," ",0,"1/48*(16*((b*x+a)*x)^(1/2)*B*b^(7/2)*x^3+24*((b*x+a)*x)^(1/2)*A*b^(7/2)*x^2-28*((b*x+a)*x)^(1/2)*B*a*b^(5/2)*x^2+90*A*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x*a^2*b^2-60*((b*x+a)*x)^(1/2)*A*a*b^(5/2)*x-105*B*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x*a^3*b+70*((b*x+a)*x)^(1/2)*B*a^2*b^(3/2)*x+90*A*a^3*b*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))-180*((b*x+a)*x)^(1/2)*A*a^2*b^(3/2)-105*B*a^4*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+210*((b*x+a)*x)^(1/2)*B*a^3*b^(1/2))/b^(9/2)*x^(1/2)/((b*x+a)*x)^(1/2)/(b*x+a)^(1/2)","B"
528,1,244,108,0.017000," ","int(x^(3/2)*(B*x+A)/(b*x+a)^(3/2),x)","-\frac{\left(12 A a \,b^{2} x \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-15 B \,a^{2} b x \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-4 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{5}{2}} x^{2}+12 A \,a^{2} b \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-15 B \,a^{3} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-8 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{5}{2}} x +10 \sqrt{\left(b x +a \right) x}\, B a \,b^{\frac{3}{2}} x -24 \sqrt{\left(b x +a \right) x}\, A a \,b^{\frac{3}{2}}+30 \sqrt{\left(b x +a \right) x}\, B \,a^{2} \sqrt{b}\right) \sqrt{x}}{8 \sqrt{\left(b x +a \right) x}\, \sqrt{b x +a}\, b^{\frac{7}{2}}}"," ",0,"-1/8*(-4*((b*x+a)*x)^(1/2)*B*b^(5/2)*x^2+12*A*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x*a*b^2-8*((b*x+a)*x)^(1/2)*A*b^(5/2)*x-15*B*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x*a^2*b+10*((b*x+a)*x)^(1/2)*B*a*b^(3/2)*x+12*A*a^2*b*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))-24*((b*x+a)*x)^(1/2)*A*a*b^(3/2)-15*B*a^3*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+30*((b*x+a)*x)^(1/2)*B*a^2*b^(1/2))/b^(7/2)*x^(1/2)/((b*x+a)*x)^(1/2)/(b*x+a)^(1/2)","B"
529,1,201,82,0.015000," ","int((B*x+A)*x^(1/2)/(b*x+a)^(3/2),x)","\frac{\left(2 A \,b^{2} x \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-3 B a b x \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+2 A a b \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-3 B \,a^{2} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+2 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{3}{2}} x -4 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{3}{2}}+6 \sqrt{\left(b x +a \right) x}\, B a \sqrt{b}\right) \sqrt{x}}{2 \sqrt{\left(b x +a \right) x}\, \sqrt{b x +a}\, b^{\frac{5}{2}}}"," ",0,"1/2*(2*A*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x*b^2-3*B*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x*a*b+2*((b*x+a)*x)^(1/2)*B*b^(3/2)*x+2*A*a*b*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))-4*((b*x+a)*x)^(1/2)*A*b^(3/2)-3*B*a^2*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+6*((b*x+a)*x)^(1/2)*B*a*b^(1/2))*x^(1/2)/((b*x+a)*x)^(1/2)/b^(5/2)/(b*x+a)^(1/2)","B"
530,1,121,48,0.017000," ","int((B*x+A)/(b*x+a)^(3/2)/x^(1/2),x)","\frac{\left(B a b x \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+B \,a^{2} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+2 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{3}{2}}-2 \sqrt{\left(b x +a \right) x}\, B a \sqrt{b}\right) \sqrt{x}}{\sqrt{\left(b x +a \right) x}\, \sqrt{b x +a}\, a \,b^{\frac{3}{2}}}"," ",0,"(B*a*b*x*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+2*((b*x+a)*x)^(1/2)*A*b^(3/2)+B*a^2*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))-2*((b*x+a)*x)^(1/2)*B*a*b^(1/2))/a*x^(1/2)/((b*x+a)*x)^(1/2)/b^(3/2)/(b*x+a)^(1/2)","B"
531,1,30,41,0.004000," ","int((B*x+A)/(b*x+a)^(3/2)/x^(3/2),x)","-\frac{2 \left(2 A x b -B a x +A a \right)}{\sqrt{b x +a}\, a^{2} \sqrt{x}}"," ",0,"-2*(2*A*b*x-B*a*x+A*a)/(b*x+a)^(1/2)/x^(1/2)/a^2","A"
532,1,52,65,0.005000," ","int((B*x+A)/x^(5/2)/(b*x+a)^(3/2),x)","-\frac{2 \left(-8 A \,b^{2} x^{2}+6 B a b \,x^{2}-4 A a b x +3 B \,a^{2} x +A \,a^{2}\right)}{3 \sqrt{b x +a}\, a^{3} x^{\frac{3}{2}}}"," ",0,"-2/3*(-8*A*b^2*x^2+6*B*a*b*x^2-4*A*a*b*x+3*B*a^2*x+A*a^2)/(b*x+a)^(1/2)/x^(3/2)/a^3","A"
533,1,77,90,0.006000," ","int((B*x+A)/x^(7/2)/(b*x+a)^(3/2),x)","-\frac{2 \left(48 A \,b^{3} x^{3}-40 B a \,b^{2} x^{3}+24 A a \,b^{2} x^{2}-20 B \,a^{2} b \,x^{2}-6 A \,a^{2} b x +5 B \,a^{3} x +3 A \,a^{3}\right)}{15 \sqrt{b x +a}\, a^{4} x^{\frac{5}{2}}}"," ",0,"-2/15*(48*A*b^3*x^3-40*B*a*b^2*x^3+24*A*a*b^2*x^2-20*B*a^2*b*x^2-6*A*a^2*b*x+5*B*a^3*x+3*A*a^3)/(b*x+a)^(1/2)/x^(5/2)/a^4","A"
534,1,101,117,0.006000," ","int((B*x+A)/x^(9/2)/(b*x+a)^(3/2),x)","-\frac{2 \left(-128 A \,b^{4} x^{4}+112 B a \,b^{3} x^{4}-64 A a \,b^{3} x^{3}+56 B \,a^{2} b^{2} x^{3}+16 A \,a^{2} b^{2} x^{2}-14 B \,a^{3} b \,x^{2}-8 A \,a^{3} b x +7 B \,a^{4} x +5 A \,a^{4}\right)}{35 \sqrt{b x +a}\, a^{5} x^{\frac{7}{2}}}"," ",0,"-2/35*(-128*A*b^4*x^4+112*B*a*b^3*x^4-64*A*a*b^3*x^3+56*B*a^2*b^2*x^3+16*A*a^2*b^2*x^2-14*B*a^3*b*x^2-8*A*a^3*b*x+7*B*a^4*x+5*A*a^4)/(b*x+a)^(1/2)/x^(7/2)/a^5","A"
535,1,125,144,0.007000," ","int((B*x+A)/x^(11/2)/(b*x+a)^(3/2),x)","-\frac{2 \left(1280 A \,b^{5} x^{5}-1152 B a \,b^{4} x^{5}+640 A a \,b^{4} x^{4}-576 B \,a^{2} b^{3} x^{4}-160 A \,a^{2} b^{3} x^{3}+144 B \,a^{3} b^{2} x^{3}+80 A \,a^{3} b^{2} x^{2}-72 B \,a^{4} b \,x^{2}-50 A \,a^{4} b x +45 B \,a^{5} x +35 A \,a^{5}\right)}{315 \sqrt{b x +a}\, a^{6} x^{\frac{9}{2}}}"," ",0,"-2/315*(1280*A*b^5*x^5-1152*B*a*b^4*x^5+640*A*a*b^4*x^4-576*B*a^2*b^3*x^4-160*A*a^2*b^3*x^3+144*B*a^3*b^2*x^3+80*A*a^3*b^2*x^2-72*B*a^4*b*x^2-50*A*a^4*b*x+45*B*a^5*x+35*A*a^5)/(b*x+a)^(1/2)/x^(9/2)/a^6","A"
536,1,149,171,0.006000," ","int((B*x+A)/x^(13/2)/(b*x+a)^(3/2),x)","-\frac{2 \left(-3072 A \,b^{6} x^{6}+2816 B a \,b^{5} x^{6}-1536 A a \,b^{5} x^{5}+1408 B \,a^{2} b^{4} x^{5}+384 A \,a^{2} b^{4} x^{4}-352 B \,a^{3} b^{3} x^{4}-192 A \,a^{3} b^{3} x^{3}+176 B \,a^{4} b^{2} x^{3}+120 A \,a^{4} b^{2} x^{2}-110 B \,a^{5} b \,x^{2}-84 A \,a^{5} b x +77 B \,a^{6} x +63 A \,a^{6}\right)}{693 \sqrt{b x +a}\, a^{7} x^{\frac{11}{2}}}"," ",0,"-2/693*(-3072*A*b^6*x^6+2816*B*a*b^5*x^6-1536*A*a*b^5*x^5+1408*B*a^2*b^4*x^5+384*A*a^2*b^4*x^4-352*B*a^3*b^3*x^4-192*A*a^3*b^3*x^3+176*B*a^4*b^2*x^3+120*A*a^4*b^2*x^2-110*B*a^5*b*x^2-84*A*a^5*b*x+77*B*a^6*x+63*A*a^6)/(b*x+a)^(1/2)/x^(11/2)/a^7","A"
537,1,406,162,0.023000," ","int(x^(7/2)*(B*x+A)/(b*x+a)^(5/2),x)","\frac{\left(16 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{9}{2}} x^{4}+210 A \,a^{2} b^{3} x^{2} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-315 B \,a^{3} b^{2} x^{2} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+24 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{9}{2}} x^{3}-36 \sqrt{\left(b x +a \right) x}\, B a \,b^{\frac{7}{2}} x^{3}+420 A \,a^{3} b^{2} x \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-630 B \,a^{4} b x \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-84 \sqrt{\left(b x +a \right) x}\, A a \,b^{\frac{7}{2}} x^{2}+126 \sqrt{\left(b x +a \right) x}\, B \,a^{2} b^{\frac{5}{2}} x^{2}+210 A \,a^{4} b \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-315 B \,a^{5} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-560 \sqrt{\left(b x +a \right) x}\, A \,a^{2} b^{\frac{5}{2}} x +840 \sqrt{\left(b x +a \right) x}\, B \,a^{3} b^{\frac{3}{2}} x -420 \sqrt{\left(b x +a \right) x}\, A \,a^{3} b^{\frac{3}{2}}+630 \sqrt{\left(b x +a \right) x}\, B \,a^{4} \sqrt{b}\right) \sqrt{x}}{48 \sqrt{\left(b x +a \right) x}\, \left(b x +a \right)^{\frac{3}{2}} b^{\frac{11}{2}}}"," ",0,"1/48*(16*((b*x+a)*x)^(1/2)*B*b^(9/2)*x^4+24*((b*x+a)*x)^(1/2)*A*b^(9/2)*x^3-36*((b*x+a)*x)^(1/2)*B*a*b^(7/2)*x^3+210*A*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x^2*a^2*b^3-84*((b*x+a)*x)^(1/2)*A*a*b^(7/2)*x^2-315*B*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x^2*a^3*b^2+126*((b*x+a)*x)^(1/2)*B*a^2*b^(5/2)*x^2+420*A*a^3*b^2*x*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))-560*((b*x+a)*x)^(1/2)*A*a^2*b^(5/2)*x-630*B*a^4*b*x*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+840*((b*x+a)*x)^(1/2)*B*a^3*b^(3/2)*x+210*A*a^4*b*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))-420*((b*x+a)*x)^(1/2)*A*a^3*b^(3/2)-315*B*a^5*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+630*((b*x+a)*x)^(1/2)*B*a^4*b^(1/2))/b^(11/2)*x^(1/2)/((b*x+a)*x)^(1/2)/(b*x+a)^(3/2)","B"
538,1,362,135,0.018000," ","int(x^(5/2)*(B*x+A)/(b*x+a)^(5/2),x)","-\frac{\left(60 A a \,b^{3} x^{2} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-105 B \,a^{2} b^{2} x^{2} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-12 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{7}{2}} x^{3}+120 A \,a^{2} b^{2} x \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-210 B \,a^{3} b x \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-24 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{7}{2}} x^{2}+42 \sqrt{\left(b x +a \right) x}\, B a \,b^{\frac{5}{2}} x^{2}+60 A \,a^{3} b \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-105 B \,a^{4} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-160 \sqrt{\left(b x +a \right) x}\, A a \,b^{\frac{5}{2}} x +280 \sqrt{\left(b x +a \right) x}\, B \,a^{2} b^{\frac{3}{2}} x -120 \sqrt{\left(b x +a \right) x}\, A \,a^{2} b^{\frac{3}{2}}+210 \sqrt{\left(b x +a \right) x}\, B \,a^{3} \sqrt{b}\right) \sqrt{x}}{24 \sqrt{\left(b x +a \right) x}\, \left(b x +a \right)^{\frac{3}{2}} b^{\frac{9}{2}}}"," ",0,"-1/24*(-12*((b*x+a)*x)^(1/2)*B*b^(7/2)*x^3+60*A*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x^2*a*b^3-24*((b*x+a)*x)^(1/2)*A*b^(7/2)*x^2-105*B*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x^2*a^2*b^2+42*((b*x+a)*x)^(1/2)*B*a*b^(5/2)*x^2+120*A*a^2*b^2*x*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))-160*((b*x+a)*x)^(1/2)*A*a*b^(5/2)*x-210*B*a^3*b*x*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+280*((b*x+a)*x)^(1/2)*B*a^2*b^(3/2)*x+60*A*a^3*b*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))-120*((b*x+a)*x)^(1/2)*A*a^2*b^(3/2)-105*B*a^4*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+210*((b*x+a)*x)^(1/2)*B*a^3*b^(1/2))/b^(9/2)*x^(1/2)/((b*x+a)*x)^(1/2)/(b*x+a)^(3/2)","B"
539,1,315,109,0.015000," ","int(x^(3/2)*(B*x+A)/(b*x+a)^(5/2),x)","\frac{\left(6 A \,b^{3} x^{2} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-15 B a \,b^{2} x^{2} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+12 A a \,b^{2} x \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-30 B \,a^{2} b x \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+6 \sqrt{\left(b x +a \right) x}\, B \,b^{\frac{5}{2}} x^{2}+6 A \,a^{2} b \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-15 B \,a^{3} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)-16 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{5}{2}} x +40 \sqrt{\left(b x +a \right) x}\, B a \,b^{\frac{3}{2}} x -12 \sqrt{\left(b x +a \right) x}\, A a \,b^{\frac{3}{2}}+30 \sqrt{\left(b x +a \right) x}\, B \,a^{2} \sqrt{b}\right) \sqrt{x}}{6 \sqrt{\left(b x +a \right) x}\, \left(b x +a \right)^{\frac{3}{2}} b^{\frac{7}{2}}}"," ",0,"1/6*(6*A*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x^2*b^3-15*B*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))*x^2*a*b^2+6*((b*x+a)*x)^(1/2)*B*b^(5/2)*x^2+12*A*a*b^2*x*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))-16*((b*x+a)*x)^(1/2)*A*b^(5/2)*x-30*B*a^2*b*x*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+40*((b*x+a)*x)^(1/2)*B*a*b^(3/2)*x+6*A*a^2*b*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))-12*((b*x+a)*x)^(1/2)*A*a*b^(3/2)-15*B*a^3*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+30*((b*x+a)*x)^(1/2)*B*a^2*b^(1/2))*x^(1/2)/((b*x+a)*x)^(1/2)/b^(7/2)/(b*x+a)^(3/2)","B"
540,1,182,64,0.016000," ","int((B*x+A)*x^(1/2)/(b*x+a)^(5/2),x)","\frac{\left(3 B a \,b^{2} x^{2} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+6 B \,a^{2} b x \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+3 B \,a^{3} \ln \left(\frac{2 b x +a +2 \sqrt{\left(b x +a \right) x}\, \sqrt{b}}{2 \sqrt{b}}\right)+2 \sqrt{\left(b x +a \right) x}\, A \,b^{\frac{5}{2}} x -8 \sqrt{\left(b x +a \right) x}\, B a \,b^{\frac{3}{2}} x -6 \sqrt{\left(b x +a \right) x}\, B \,a^{2} \sqrt{b}\right) \sqrt{x}}{3 \sqrt{\left(b x +a \right) x}\, \left(b x +a \right)^{\frac{3}{2}} a \,b^{\frac{5}{2}}}"," ",0,"1/3*(3*B*a*b^2*x^2*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))+2*((b*x+a)*x)^(1/2)*A*b^(5/2)*x+6*B*a^2*b*x*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))-8*((b*x+a)*x)^(1/2)*B*a*b^(3/2)*x+3*B*a^3*ln(1/2*(2*b*x+a+2*((b*x+a)*x)^(1/2)*b^(1/2))/b^(1/2))-6*((b*x+a)*x)^(1/2)*B*a^2*b^(1/2))*x^(1/2)/a/((b*x+a)*x)^(1/2)/b^(5/2)/(b*x+a)^(3/2)","B"
541,1,30,53,0.004000," ","int((B*x+A)/(b*x+a)^(5/2)/x^(1/2),x)","\frac{2 \left(2 A x b +B a x +3 A a \right) \sqrt{x}}{3 \left(b x +a \right)^{\frac{3}{2}} a^{2}}"," ",0,"2/3*x^(1/2)*(2*A*b*x+B*a*x+3*A*a)/(b*x+a)^(3/2)/a^2","A"
542,1,53,65,0.005000," ","int((B*x+A)/(b*x+a)^(5/2)/x^(3/2),x)","-\frac{2 \left(8 A \,b^{2} x^{2}-2 B a b \,x^{2}+12 A a b x -3 B \,a^{2} x +3 A \,a^{2}\right)}{3 \left(b x +a \right)^{\frac{3}{2}} a^{3} \sqrt{x}}"," ",0,"-2/3*(8*A*b^2*x^2-2*B*a*b*x^2+12*A*a*b*x-3*B*a^2*x+3*A*a^2)/(b*x+a)^(3/2)/x^(1/2)/a^3","A"
543,1,76,89,0.006000," ","int((B*x+A)/x^(5/2)/(b*x+a)^(5/2),x)","-\frac{2 \left(-16 A \,b^{3} x^{3}+8 B a \,b^{2} x^{3}-24 A a \,b^{2} x^{2}+12 B \,a^{2} b \,x^{2}-6 A \,a^{2} b x +3 B \,a^{3} x +A \,a^{3}\right)}{3 \left(b x +a \right)^{\frac{3}{2}} a^{4} x^{\frac{3}{2}}}"," ",0,"-2/3*(-16*A*b^3*x^3+8*B*a*b^2*x^3-24*A*a*b^2*x^2+12*B*a^2*b*x^2-6*A*a^2*b*x+3*B*a^3*x+A*a^3)/(b*x+a)^(3/2)/x^(3/2)/a^4","A"
544,1,101,114,0.006000," ","int((B*x+A)/x^(7/2)/(b*x+a)^(5/2),x)","-\frac{2 \left(128 A \,b^{4} x^{4}-80 B a \,b^{3} x^{4}+192 A a \,b^{3} x^{3}-120 B \,a^{2} b^{2} x^{3}+48 A \,a^{2} b^{2} x^{2}-30 B \,a^{3} b \,x^{2}-8 A \,a^{3} b x +5 B \,a^{4} x +3 A \,a^{4}\right)}{15 \left(b x +a \right)^{\frac{3}{2}} a^{5} x^{\frac{5}{2}}}"," ",0,"-2/15*(128*A*b^4*x^4-80*B*a*b^3*x^4+192*A*a*b^3*x^3-120*B*a^2*b^2*x^3+48*A*a^2*b^2*x^2-30*B*a^3*b*x^2-8*A*a^3*b*x+5*B*a^4*x+3*A*a^4)/(b*x+a)^(3/2)/x^(5/2)/a^5","A"
545,1,125,141,0.006000," ","int((B*x+A)/x^(9/2)/(b*x+a)^(5/2),x)","-\frac{2 \left(-1280 A \,b^{5} x^{5}+896 B a \,b^{4} x^{5}-1920 A a \,b^{4} x^{4}+1344 B \,a^{2} b^{3} x^{4}-480 A \,a^{2} b^{3} x^{3}+336 B \,a^{3} b^{2} x^{3}+80 A \,a^{3} b^{2} x^{2}-56 B \,a^{4} b \,x^{2}-30 A \,a^{4} b x +21 B \,a^{5} x +15 A \,a^{5}\right)}{105 \left(b x +a \right)^{\frac{3}{2}} a^{6} x^{\frac{7}{2}}}"," ",0,"-2/105*(-1280*A*b^5*x^5+896*B*a*b^4*x^5-1920*A*a*b^4*x^4+1344*B*a^2*b^3*x^4-480*A*a^2*b^3*x^3+336*B*a^3*b^2*x^3+80*A*a^3*b^2*x^2-56*B*a^4*b*x^2-30*A*a^4*b*x+21*B*a^5*x+15*A*a^5)/(b*x+a)^(3/2)/x^(7/2)/a^6","A"
546,1,149,168,0.007000," ","int((B*x+A)/x^(11/2)/(b*x+a)^(5/2),x)","-\frac{2 \left(1024 A \,b^{6} x^{6}-768 B a \,b^{5} x^{6}+1536 A a \,b^{5} x^{5}-1152 B \,a^{2} b^{4} x^{5}+384 A \,a^{2} b^{4} x^{4}-288 B \,a^{3} b^{3} x^{4}-64 A \,a^{3} b^{3} x^{3}+48 B \,a^{4} b^{2} x^{3}+24 A \,a^{4} b^{2} x^{2}-18 B \,a^{5} b \,x^{2}-12 A \,a^{5} b x +9 B \,a^{6} x +7 A \,a^{6}\right)}{63 \left(b x +a \right)^{\frac{3}{2}} a^{7} x^{\frac{9}{2}}}"," ",0,"-2/63*(1024*A*b^6*x^6-768*B*a*b^5*x^6+1536*A*a*b^5*x^5-1152*B*a^2*b^4*x^5+384*A*a^2*b^4*x^4-288*B*a^3*b^3*x^4-64*A*a^3*b^3*x^3+48*B*a^4*b^2*x^3+24*A*a^4*b^2*x^2-18*B*a^5*b*x^2-12*A*a^5*b*x+9*B*a^6*x+7*A*a^6)/(b*x+a)^(3/2)/x^(9/2)/a^7","A"
547,1,942,264,0.023000," ","int(x^3*(b*x+a)^(1/2)*(d*x+c)^(1/2),x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(768 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{4} d^{4} x^{4}+105 a^{5} d^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-75 a^{4} b c \,d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-30 a^{3} b^{2} c^{2} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-30 a^{2} b^{3} c^{3} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-75 a \,b^{4} c^{4} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+96 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{3} d^{4} x^{3}+105 b^{5} c^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+96 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{4} c \,d^{3} x^{3}-112 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b^{2} d^{4} x^{2}+32 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{3} c \,d^{3} x^{2}-112 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{4} c^{2} d^{2} x^{2}+140 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,d^{4} x -44 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c \,d^{3} x -44 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{2} d^{2} x +140 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{4} c^{3} d x -210 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} d^{4}+80 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b c \,d^{3}+68 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{2} d^{2}+80 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{3} d -210 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{4} c^{4}\right)}{3840 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{4} d^{4}}"," ",0,"1/3840*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(768*x^4*b^4*d^4*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)+96*x^3*a*b^3*d^4*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)+96*x^3*b^4*c*d^3*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)-112*x^2*a^2*b^2*d^4*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)+32*x^2*a*b^3*c*d^3*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)-112*x^2*b^4*c^2*d^2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)+105*ln(1/2*(2*b*d*x+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)+a*d+b*c)/(b*d)^(1/2))*a^5*d^5-75*ln(1/2*(2*b*d*x+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)+a*d+b*c)/(b*d)^(1/2))*a^4*b*c*d^4-30*ln(1/2*(2*b*d*x+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)+a*d+b*c)/(b*d)^(1/2))*a^3*b^2*c^2*d^3-30*ln(1/2*(2*b*d*x+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)+a*d+b*c)/(b*d)^(1/2))*a^2*b^3*c^3*d^2-75*ln(1/2*(2*b*d*x+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)+a*d+b*c)/(b*d)^(1/2))*a*b^4*c^4*d+105*ln(1/2*(2*b*d*x+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)+a*d+b*c)/(b*d)^(1/2))*b^5*c^5+140*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*a^3*b*d^4-44*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*a^2*b^2*c*d^3-44*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*a*b^3*c^2*d^2+140*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*b^4*c^3*d-210*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*d^4+80*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c*d^3+68*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^2*d^2+80*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^3*c^3*d-210*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^4*c^4)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/b^4/d^4/(b*d)^(1/2)","B"
548,1,686,199,0.019000," ","int(x^2*(b*x+a)^(1/2)*(d*x+c)^(1/2),x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(15 a^{4} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-12 a^{3} b c \,d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-6 a^{2} b^{2} c^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-12 a \,b^{3} c^{3} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 b^{4} c^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-96 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{3} d^{3} x^{3}-16 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{2} d^{3} x^{2}-16 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{3} c \,d^{2} x^{2}+20 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b \,d^{3} x -8 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{2} c \,d^{2} x +20 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{3} c^{2} d x -30 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{3} d^{3}+14 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b c \,d^{2}+14 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{2} c^{2} d -30 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{3} c^{3}\right)}{384 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{3} d^{3}}"," ",0,"-1/384*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(-96*x^3*b^3*d^3*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)-16*x^2*a*b^2*d^3*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)-16*x^2*b^3*c*d^2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)+15*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^4*d^4-12*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*b*c*d^3-6*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b^2*c^2*d^2-12*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b^3*c^3*d+15*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*b^4*c^4+20*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*x*a^2*b*d^3-8*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*x*a*b^2*c*d^2+20*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*x*b^3*c^2*d-30*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^3*d^3+14*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^2*b*c*d^2+14*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^2*c^2*d-30*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^3*c^3)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/b^3/d^3/(b*d)^(1/2)","B"
549,1,472,131,0.016000," ","int(x*(b*x+a)^(1/2)*(d*x+c)^(1/2),x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(3 a^{3} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 a^{2} b c \,d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 a \,b^{2} c^{2} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 b^{3} c^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+16 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{2} d^{2} x^{2}+4 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a b \,d^{2} x +4 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{2} c d x -6 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} d^{2}+4 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a b c d -6 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{2} c^{2}\right)}{48 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{2} d^{2}}"," ",0,"1/48*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(16*x^2*b^2*d^2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)+3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*d^3-3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b*c*d^2-3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b^2*c^2*d+3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*b^3*c^3+4*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*a*b*d^2+4*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*b^2*c*d-6*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*d^2+4*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b*c*d-6*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^2*c^2)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/b^2/d^2/(b*d)^(1/2)","B"
550,1,305,90,0.004000," ","int((b*x+a)^(1/2)*(d*x+c)^(1/2),x)","-\frac{\sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} d \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{8 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, b}+\frac{\sqrt{\left(b x +a \right) \left(d x +c \right)}\, a c \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{4 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}}-\frac{\sqrt{\left(b x +a \right) \left(d x +c \right)}\, b \,c^{2} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{8 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, d}+\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, a}{4 b}-\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, c}{4 d}+\frac{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{3}{2}}}{2 d}"," ",0,"1/2/d*(b*x+a)^(1/2)*(d*x+c)^(3/2)+1/4/b*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a-1/4/d*(d*x+c)^(1/2)*(b*x+a)^(1/2)*c-1/8*d/b*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*a^2+1/4*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*a*c-1/8/d*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*c^2*b","B"
551,1,244,82,0.016000," ","int((b*x+a)^(1/2)*(d*x+c)^(1/2)/x,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-2 \sqrt{b d}\, a c \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+\sqrt{a c}\, a d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+\sqrt{a c}\, b c \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\right)}{2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}}"," ",0,"1/2*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*a*d+ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*b*c-2*a*c*ln((a*d*x+b*c*x+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)+2*a*c)/x)*(b*d)^(1/2)+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2))/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/(b*d)^(1/2)/(a*c)^(1/2)","B"
552,1,250,87,0.016000," ","int((b*x+a)^(1/2)*(d*x+c)^(1/2)/x^2,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-\sqrt{b d}\, a d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-\sqrt{b d}\, b c x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+2 \sqrt{a c}\, b d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\right)}{2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, x}"," ",0,"1/2*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(2*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b*d*(a*c)^(1/2)-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x*a*d*(b*d)^(1/2)-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x*b*c*(b*d)^(1/2)-2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2))/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x/(b*d)^(1/2)/(a*c)^(1/2)","B"
553,1,305,96,0.018000," ","int((b*x+a)^(1/2)*(d*x+c)^(1/2)/x^3,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(a^{2} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-2 a b c d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+b^{2} c^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a d x -2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b c x -4 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a c \right)}{8 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a c \,x^{2}}"," ",0,"1/8*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a/c*(ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^2*a^2*d^2-2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^2*a*b*c*d+ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^2*b^2*c^2-2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*a*d-2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*b*c-4*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*c*(a*c)^(1/2))/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^2/(a*c)^(1/2)","B"
554,1,485,140,0.019000," ","int((b*x+a)^(1/2)*(d*x+c)^(1/2)/x^4,x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(3 a^{3} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-3 a^{2} b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-3 a \,b^{2} c^{2} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+3 b^{3} c^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-6 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} d^{2} x^{2}+4 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a b c d \,x^{2}-6 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{2} c^{2} x^{2}+4 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} c d x +4 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a b \,c^{2} x +16 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{2} c^{2}\right)}{48 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{2} c^{2} x^{3}}"," ",0,"-1/48*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a^2/c^2*(3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^3*a^3*d^3-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^3*a^2*b*c*d^2-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^3*a*b^2*c^2*d+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^3*b^3*c^3-6*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^2*a^2*d^2+4*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^2*a*b*c*d-6*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^2*b^2*c^2+4*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*a^2*c*d+4*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*a*b*c^2+16*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*c^2*(a*c)^(1/2))/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^3/(a*c)^(1/2)","B"
555,1,705,218,0.018000," ","int((b*x+a)^(1/2)*(d*x+c)^(1/2)/x^5,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(15 a^{4} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-12 a^{3} b c \,d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-6 a^{2} b^{2} c^{2} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-12 a \,b^{3} c^{3} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+15 b^{4} c^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-30 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} d^{3} x^{3}+14 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b c \,d^{2} x^{3}+14 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{2} c^{2} d \,x^{3}-30 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{3} c^{3} x^{3}+20 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} c \,d^{2} x^{2}-8 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b \,c^{2} d \,x^{2}+20 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{2} c^{3} x^{2}-16 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} c^{2} d x -16 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b \,c^{3} x -96 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{3} c^{3}\right)}{384 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{3} c^{3} x^{4}}"," ",0,"1/384*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a^3/c^3*(15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^4*a^4*d^4-12*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^4*a^3*b*c*d^3-6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^4*a^2*b^2*c^2*d^2-12*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^4*a*b^3*c^3*d+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^4*b^4*c^4-30*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^3*a^3*d^3+14*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^3*a^2*b*c*d^2+14*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^3*a*b^2*c^2*d-30*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^3*b^3*c^3+20*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^2*a^3*c*d^2-8*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^2*a^2*b*c^2*d+20*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^2*a*b^2*c^3-16*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*a^3*c^2*d-16*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*a^2*b*c^3-96*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*c^3*(a*c)^(1/2))/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^4/(a*c)^(1/2)","B"
556,1,967,301,0.023000," ","int((b*x+a)^(1/2)*(d*x+c)^(1/2)/x^6,x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(105 a^{5} d^{5} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-75 a^{4} b c \,d^{4} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-30 a^{3} b^{2} c^{2} d^{3} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-30 a^{2} b^{3} c^{3} d^{2} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-75 a \,b^{4} c^{4} d \,x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+105 b^{5} c^{5} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-210 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} d^{4} x^{4}+80 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b c \,d^{3} x^{4}+68 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{2} d^{2} x^{4}+80 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{3} d \,x^{4}-210 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{4} c^{4} x^{4}+140 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} c \,d^{3} x^{3}-44 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,c^{2} d^{2} x^{3}-44 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{3} d \,x^{3}+140 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{4} x^{3}-112 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} c^{2} d^{2} x^{2}+32 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,c^{3} d \,x^{2}-112 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{4} x^{2}+96 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} c^{3} d x +96 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,c^{4} x +768 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{4} c^{4}\right)}{3840 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{4} c^{4} x^{5}}"," ",0,"-1/3840*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a^4/c^4*(105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^5*a^5*d^5-75*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^5*a^4*b*c*d^4-30*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^5*a^3*b^2*c^2*d^3-30*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^5*a^2*b^3*c^3*d^2-75*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^5*a*b^4*c^4*d+105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^5*b^5*c^5-210*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^4*a^4*d^4+80*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^4*a^3*b*c*d^3+68*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^4*a^2*b^2*c^2*d^2+80*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^4*a*b^3*c^3*d-210*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^4*b^4*c^4+140*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^3*a^4*c*d^3-44*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^3*a^3*b*c^2*d^2-44*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^3*a^2*b^2*c^3*d+140*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^3*a*b^3*c^4-112*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^2*a^4*c^2*d^2+32*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^2*a^3*b*c^3*d-112*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^2*a^2*b^2*c^4+96*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*a^4*c^3*d+96*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*a^3*b*c^4+768*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*c^4*(a*c)^(1/2))/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^5/(a*c)^(1/2)","B"
557,1,942,271,0.019000," ","int(x^2*(d*x+c)^(3/2)*(b*x+a)^(1/2),x)","\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(768 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{4} d^{4} x^{4}+105 a^{5} d^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-225 a^{4} b c \,d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+90 a^{3} b^{2} c^{2} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+30 a^{2} b^{3} c^{3} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+45 a \,b^{4} c^{4} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+96 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{3} d^{4} x^{3}-45 b^{5} c^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+1056 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{4} c \,d^{3} x^{3}-112 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b^{2} d^{4} x^{2}+192 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{3} c \,d^{3} x^{2}+48 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{4} c^{2} d^{2} x^{2}+140 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,d^{4} x -244 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c \,d^{3} x +36 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{2} d^{2} x -60 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{4} c^{3} d x -210 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} d^{4}+380 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b c \,d^{3}-72 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{2} d^{2}-60 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{3} d +90 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{4} c^{4}\right)}{3840 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{4} d^{3}}"," ",0,"1/3840*(d*x+c)^(1/2)*(b*x+a)^(1/2)*(768*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^4*d^4*x^4+96*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^3*d^4*x^3+1056*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^4*c*d^3*x^3-112*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^2*b^2*d^4*x^2+192*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^3*c*d^3*x^2+48*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^4*c^2*d^2*x^2+105*a^5*d^5*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-225*a^4*b*c*d^4*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+90*a^3*b^2*c^2*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+30*a^2*b^3*c^3*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+45*a*b^4*c^4*d*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-45*b^5*c^5*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+140*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*d^4*x-244*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c*d^3*x+36*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^3*c^2*d^2*x-60*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^4*c^3*d*x-210*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*d^4+380*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c*d^3-72*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^2*d^2-60*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^3*c^3*d+90*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^4*c^4)/d^3/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/b^4/(b*d)^(1/2)","B"
558,1,686,183,0.017000," ","int(x*(d*x+c)^(3/2)*(b*x+a)^(1/2),x)","-\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(15 a^{4} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-36 a^{3} b c \,d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+18 a^{2} b^{2} c^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+12 a \,b^{3} c^{3} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-9 b^{4} c^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-96 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{3} d^{3} x^{3}-16 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{2} d^{3} x^{2}-144 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{3} c \,d^{2} x^{2}+20 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b \,d^{3} x -40 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{2} c \,d^{2} x -12 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{3} c^{2} d x -30 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{3} d^{3}+62 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b c \,d^{2}-18 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{2} c^{2} d +18 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{3} c^{3}\right)}{384 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{3} d^{2}}"," ",0,"-1/384*(d*x+c)^(1/2)*(b*x+a)^(1/2)*(-96*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^3*d^3*x^3-16*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^2*d^3*x^2-144*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^3*c*d^2*x^2+15*a^4*d^4*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-36*a^3*b*c*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+18*a^2*b^2*c^2*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+12*a*b^3*c^3*d*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-9*b^4*c^4*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+20*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^2*b*d^3*x-40*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^2*c*d^2*x-12*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^3*c^2*d*x-30*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^3*d^3+62*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^2*b*c*d^2-18*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^2*c^2*d+18*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^3*c^3)/d^2/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/b^3/(b*d)^(1/2)","B"
559,1,459,119,0.000000," ","int((b*x+a)^(1/2)*(d*x+c)^(3/2),x)","\frac{\sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} d^{2} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{16 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, b^{2}}-\frac{3 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c d \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{16 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, b}+\frac{3 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,c^{2} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{16 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}}-\frac{\sqrt{\left(b x +a \right) \left(d x +c \right)}\, b \,c^{3} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{16 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, d}-\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, a^{2} d}{8 b^{2}}+\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, a c}{4 b}-\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, c^{2}}{8 d}+\frac{\left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, a}{12 b}-\frac{\left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, c}{12 d}+\frac{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{5}{2}}}{3 d}"," ",0,"1/16*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(b*d)^(1/2)*a^3/b^2*d^2*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))-3/16*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(b*d)^(1/2)*a^2/b*c*d*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))+3/16*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(b*d)^(1/2)*a*c^2*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))-1/16*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(b*d)^(1/2)*b*c^3/d*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))-1/8*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^2/b^2*d+1/4*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a/b*c-1/8*(d*x+c)^(1/2)*(b*x+a)^(1/2)*c^2/d+1/12*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a/b-1/12*(d*x+c)^(3/2)*(b*x+a)^(1/2)*c/d+1/3*(b*x+a)^(1/2)*(d*x+c)^(5/2)/d","B"
560,1,388,127,0.017000," ","int((d*x+c)^(3/2)*(b*x+a)^(1/2)/x,x)","-\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(\sqrt{a c}\, a^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+8 \sqrt{b d}\, a b \,c^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-6 \sqrt{a c}\, a b c d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 \sqrt{a c}\, b^{2} c^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-4 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b d x -2 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a d -10 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b c \right)}{8 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b}"," ",0,"-1/8*(d*x+c)^(1/2)*(b*x+a)^(1/2)*(ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*a^2*d^2-6*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*a*b*c*d-3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*b^2*c^2-4*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*b*d+8*(b*d)^(1/2)*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*a*b*c^2-2*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*d-10*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b*c)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/b/(b*d)^(1/2)/(a*c)^(1/2)","B"
561,1,347,112,0.018000," ","int((d*x+c)^(3/2)*(b*x+a)^(1/2)/x^2,x)","\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(-3 \sqrt{b d}\, a c d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+\sqrt{a c}\, a \,d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-\sqrt{b d}\, b \,c^{2} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+3 \sqrt{a c}\, b c d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, d x -2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, c \right)}{2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, x}"," ",0,"1/2*(d*x+c)^(1/2)*(b*x+a)^(1/2)*(ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*d^2*(a*c)^(1/2)+3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b*c*d*(a*c)^(1/2)-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x*a*c*d*(b*d)^(1/2)-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x*b*c^2*(b*d)^(1/2)+2*x*d*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)-2*c*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2))/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x/(b*d)^(1/2)/(a*c)^(1/2)","B"
562,1,400,132,0.019000," ","int((d*x+c)^(3/2)*(b*x+a)^(1/2)/x^3,x)","\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(-3 \sqrt{b d}\, a^{2} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-6 \sqrt{b d}\, a b c d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+8 \sqrt{a c}\, a b \,d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+\sqrt{b d}\, b^{2} c^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-10 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a d x -2 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b c x -4 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a c \right)}{8 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a \,x^{2}}"," ",0,"1/8*(d*x+c)^(1/2)*(b*x+a)^(1/2)/a*(8*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a*b*d^2*(a*c)^(1/2)-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^2*a^2*d^2*(b*d)^(1/2)-6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^2*a*b*c*d*(b*d)^(1/2)+ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^2*b^2*c^2*(b*d)^(1/2)-10*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*a*d-2*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*b*c-4*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*c*(b*d)^(1/2)*(a*c)^(1/2))/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^2/(b*d)^(1/2)/(a*c)^(1/2)","B"
563,1,485,131,0.017000," ","int((d*x+c)^(3/2)*(b*x+a)^(1/2)/x^4,x)","\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(3 a^{3} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-9 a^{2} b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+9 a \,b^{2} c^{2} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-3 b^{3} c^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-6 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} d^{2} x^{2}-16 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a b c d \,x^{2}+6 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{2} c^{2} x^{2}-28 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} c d x -4 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a b \,c^{2} x -16 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{2} c^{2}\right)}{48 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{2} c \,x^{3}}"," ",0,"1/48*(d*x+c)^(1/2)*(b*x+a)^(1/2)/a^2/c*(3*a^3*d^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-9*a^2*b*c*d^2*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+9*a*b^2*c^2*d*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-3*b^3*c^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-6*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*d^2*x^2-16*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b*c*d*x^2+6*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^2*c^2*x^2-28*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*c*d*x-4*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b*c^2*x-16*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*a^2*c^2)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^3/(a*c)^(1/2)","B"
564,1,705,195,0.019000," ","int((d*x+c)^(3/2)*(b*x+a)^(1/2)/x^5,x)","-\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(9 a^{4} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-12 a^{3} b c \,d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-18 a^{2} b^{2} c^{2} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+36 a \,b^{3} c^{3} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-15 b^{4} c^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-18 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} d^{3} x^{3}+18 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b c \,d^{2} x^{3}-62 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{2} c^{2} d \,x^{3}+30 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{3} c^{3} x^{3}+12 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} c \,d^{2} x^{2}+40 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b \,c^{2} d \,x^{2}-20 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{2} c^{3} x^{2}+144 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} c^{2} d x +16 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b \,c^{3} x +96 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{3} c^{3}\right)}{384 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{3} c^{2} x^{4}}"," ",0,"-1/384*(d*x+c)^(1/2)*(b*x+a)^(1/2)/a^3/c^2*(9*a^4*d^4*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-12*a^3*b*c*d^3*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-18*a^2*b^2*c^2*d^2*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+36*a*b^3*c^3*d*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-15*b^4*c^4*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-18*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*d^3*x^3+18*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b*c*d^2*x^3-62*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^2*c^2*d*x^3+30*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^3*c^3*x^3+12*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*c*d^2*x^2+40*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b*c^2*d*x^2-20*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^2*c^3*x^2+144*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*c^2*d*x+16*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b*c^3*x+96*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*a^3*c^3)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^4/(a*c)^(1/2)","B"
565,1,967,296,0.021000," ","int((d*x+c)^(3/2)*(b*x+a)^(1/2)/x^6,x)","\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(45 a^{5} d^{5} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-45 a^{4} b c \,d^{4} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-30 a^{3} b^{2} c^{2} d^{3} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-90 a^{2} b^{3} c^{3} d^{2} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+225 a \,b^{4} c^{4} d \,x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-105 b^{5} c^{5} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-90 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} d^{4} x^{4}+60 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b c \,d^{3} x^{4}+72 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{2} d^{2} x^{4}-380 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{3} d \,x^{4}+210 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{4} c^{4} x^{4}+60 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} c \,d^{3} x^{3}-36 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,c^{2} d^{2} x^{3}+244 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{3} d \,x^{3}-140 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{4} x^{3}-48 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} c^{2} d^{2} x^{2}-192 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,c^{3} d \,x^{2}+112 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{4} x^{2}-1056 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} c^{3} d x -96 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,c^{4} x -768 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{4} c^{4}\right)}{3840 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{4} c^{3} x^{5}}"," ",0,"1/3840*(d*x+c)^(1/2)*(b*x+a)^(1/2)/a^4/c^3*(45*a^5*d^5*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-45*a^4*b*c*d^4*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-30*a^3*b^2*c^2*d^3*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-90*a^2*b^3*c^3*d^2*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+225*a*b^4*c^4*d*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-105*b^5*c^5*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-90*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*d^4*x^4+60*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c*d^3*x^4+72*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^2*d^2*x^4-380*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^3*c^3*d*x^4+210*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^4*c^4*x^4+60*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*c*d^3*x^3-36*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c^2*d^2*x^3+244*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^3*d*x^3-140*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^3*c^4*x^3-48*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*c^2*d^2*x^2-192*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c^3*d*x^2+112*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^4*x^2-1056*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*c^3*d*x-96*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c^4*x-768*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*a^4*c^4)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^5/(a*c)^(1/2)","B"
566,1,1240,326,0.023000," ","int(x^2*(d*x+c)^(5/2)*(b*x+a)^(1/2),x)","-\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(-2560 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} d^{5} x^{5}-256 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} d^{5} x^{4}-6400 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c \,d^{4} x^{4}+315 a^{6} d^{6} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-1050 a^{5} b c \,d^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+1125 a^{4} b^{2} c^{2} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-300 a^{3} b^{3} c^{3} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-75 a^{2} b^{4} c^{4} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+288 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} d^{5} x^{3}-90 a \,b^{5} c^{5} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-832 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c \,d^{4} x^{3}+75 b^{6} c^{6} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-4320 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{2} d^{3} x^{3}-336 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} d^{5} x^{2}+976 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c \,d^{4} x^{2}-816 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c^{2} d^{3} x^{2}-80 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{3} d^{2} x^{2}+420 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} b \,d^{5} x -1232 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} c \,d^{4} x +1048 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c^{2} d^{3} x -80 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c^{3} d^{2} x +100 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{4} d x -630 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{5} d^{5}+1890 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} b c \,d^{4}-1676 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} c^{2} d^{3}+180 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c^{3} d^{2}+130 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c^{4} d -150 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{5}\right)}{15360 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{5} d^{3}}"," ",0,"-1/15360*(d*x+c)^(1/2)*(b*x+a)^(1/2)*(-256*x^4*a*b^4*d^5*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)-6400*x^4*b^5*c*d^4*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)+288*x^3*a^2*b^3*d^5*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)-4320*x^3*b^5*c^2*d^3*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)-336*x^2*a^3*b^2*d^5*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)-80*x^2*b^5*c^3*d^2*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)+420*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*a^4*b*d^5+100*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*b^5*c^4*d+1890*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*b*c*d^4-1676*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b^2*c^2*d^3+180*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^3*c^3*d^2+130*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^4*c^4*d-1050*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^5*b*c*d^5+1125*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^4*b^2*c^2*d^4-300*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*b^3*c^3*d^3-75*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b^4*c^4*d^2-90*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b^5*c^5*d-2560*x^5*b^5*d^5*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)-630*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^5*d^5-150*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*c^5+315*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^6*d^6+75*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*b^6*c^6-832*x^3*a*b^4*c*d^4*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)+976*x^2*a^2*b^3*c*d^4*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)-816*x^2*a*b^4*c^2*d^3*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)-1232*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*a^3*b^2*c*d^4+1048*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*a^2*b^3*c^2*d^3-80*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*a*b^4*c^3*d^2)/d^3/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/b^5/(b*d)^(1/2)","B"
567,1,942,224,0.019000," ","int(x*(d*x+c)^(5/2)*(b*x+a)^(1/2),x)","\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(768 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{4} d^{4} x^{4}+105 a^{5} d^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-375 a^{4} b c \,d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+450 a^{3} b^{2} c^{2} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-150 a^{2} b^{3} c^{3} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-75 a \,b^{4} c^{4} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+96 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{3} d^{4} x^{3}+45 b^{5} c^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2016 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{4} c \,d^{3} x^{3}-112 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b^{2} d^{4} x^{2}+352 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{3} c \,d^{3} x^{2}+1488 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{4} c^{2} d^{2} x^{2}+140 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,d^{4} x -444 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c \,d^{3} x +436 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{2} d^{2} x +60 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{4} c^{3} d x -210 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} d^{4}+680 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b c \,d^{3}-692 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{2} d^{2}+120 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{3} d -90 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{4} c^{4}\right)}{3840 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{4} d^{2}}"," ",0,"1/3840*(d*x+c)^(1/2)*(b*x+a)^(1/2)*(768*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^4*d^4*x^4+96*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^3*d^4*x^3+2016*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^4*c*d^3*x^3-112*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^2*b^2*d^4*x^2+352*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^3*c*d^3*x^2+1488*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^4*c^2*d^2*x^2+105*a^5*d^5*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-375*a^4*b*c*d^4*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+450*a^3*b^2*c^2*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-150*a^2*b^3*c^3*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-75*a*b^4*c^4*d*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+45*b^5*c^5*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+140*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*d^4*x-444*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c*d^3*x+436*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^3*c^2*d^2*x+60*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^4*c^3*d*x-210*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*d^4+680*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c*d^3-692*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^2*d^2+120*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^3*c^3*d-90*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^4*c^4)/d^2/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/b^4/(b*d)^(1/2)","B"
568,1,641,148,0.009000," ","int((b*x+a)^(1/2)*(d*x+c)^(5/2),x)","-\frac{5 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} d^{3} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{128 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, b^{3}}+\frac{5 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c \,d^{2} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{32 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, b^{2}}-\frac{15 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c^{2} d \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{64 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, b}+\frac{5 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,c^{3} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{32 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}}-\frac{5 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b \,c^{4} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{128 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, d}+\frac{5 \sqrt{d x +c}\, \sqrt{b x +a}\, a^{3} d^{2}}{64 b^{3}}-\frac{15 \sqrt{d x +c}\, \sqrt{b x +a}\, a^{2} c d}{64 b^{2}}+\frac{15 \sqrt{d x +c}\, \sqrt{b x +a}\, a \,c^{2}}{64 b}-\frac{5 \sqrt{d x +c}\, \sqrt{b x +a}\, c^{3}}{64 d}-\frac{5 \left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, a^{2} d}{96 b^{2}}+\frac{5 \left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, a c}{48 b}-\frac{5 \left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, c^{2}}{96 d}+\frac{\left(d x +c \right)^{\frac{5}{2}} \sqrt{b x +a}\, a}{24 b}-\frac{\left(d x +c \right)^{\frac{5}{2}} \sqrt{b x +a}\, c}{24 d}+\frac{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{7}{2}}}{4 d}"," ",0,"1/4/d*(b*x+a)^(1/2)*(d*x+c)^(7/2)+1/24/b*(d*x+c)^(5/2)*(b*x+a)^(1/2)*a-1/24/d*(d*x+c)^(5/2)*(b*x+a)^(1/2)*c-5/96*d/b^2*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a^2+5/48/b*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a*c-5/96/d*(d*x+c)^(3/2)*(b*x+a)^(1/2)*c^2+5/64*d^2/b^3*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^3-15/64*d/b^2*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^2*c+15/64/b*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a*c^2-5/64/d*(d*x+c)^(1/2)*(b*x+a)^(1/2)*c^3-5/128*d^3/b^3*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*a^4+5/32*d^2/b^2*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*a^3*c-15/64*d/b*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*a^2*c^2+5/32*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*a*c^3-5/128/d*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*c^4*b","B"
569,1,583,175,0.018000," ","int((d*x+c)^(5/2)*(b*x+a)^(1/2)/x,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(3 \sqrt{a c}\, a^{3} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 \sqrt{a c}\, a^{2} b c \,d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-48 \sqrt{b d}\, a \,b^{2} c^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+45 \sqrt{a c}\, a \,b^{2} c^{2} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 \sqrt{a c}\, b^{3} c^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+16 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} d^{2} x^{2}+4 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a b \,d^{2} x +52 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{2} c d x -6 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} d^{2}+28 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a b c d +66 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{2} c^{2}\right)}{48 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2}}"," ",0,"1/48*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(16*x^2*b^2*d^2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)+3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*a^3*d^3-15*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*a^2*b*c*d^2+45*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*a*b^2*c^2*d+15*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*b^3*c^3-48*(b*d)^(1/2)*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*a*b^2*c^3+4*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*a*b*d^2+52*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*b^2*c*d-6*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*d^2+28*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b*c*d+66*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^2*c^2)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/b^2/(b*d)^(1/2)/(a*c)^(1/2)","B"
570,1,503,156,0.019000," ","int((d*x+c)^(5/2)*(b*x+a)^(1/2)/x^2,x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(\sqrt{a c}\, a^{2} d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+20 \sqrt{b d}\, a b \,c^{2} d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-10 \sqrt{a c}\, a b c \,d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+4 \sqrt{b d}\, b^{2} c^{3} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-15 \sqrt{a c}\, b^{2} c^{2} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-4 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b \,d^{2} x^{2}-2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a \,d^{2} x -18 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b c d x +8 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b \,c^{2}\right)}{8 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b x}"," ",0,"-1/8*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*d^3*(a*c)^(1/2)-10*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b*c*d^2*(a*c)^(1/2)-15*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b^2*c^2*d*(a*c)^(1/2)+20*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x*a*b*c^2*d*(b*d)^(1/2)+4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x*b^2*c^3*(b*d)^(1/2)-4*x^2*b*d^2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)-2*x*a*d^2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)-18*x*b*c*d*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)+8*b*c^2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2))/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/(b*d)^(1/2)/(a*c)^(1/2)/x/b","B"
571,1,511,167,0.018000," ","int((d*x+c)^(5/2)*(b*x+a)^(1/2)/x^3,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-15 \sqrt{b d}\, a^{2} c \,d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+4 \sqrt{a c}\, a^{2} d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-10 \sqrt{b d}\, a b \,c^{2} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+20 \sqrt{a c}\, a b c \,d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+\sqrt{b d}\, b^{2} c^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+8 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a \,d^{2} x^{2}-18 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a c d x -2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b \,c^{2} x -4 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a \,c^{2}\right)}{8 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a \,x^{2}}"," ",0,"1/8*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a*(4*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^2*d^3*(a*c)^(1/2)+20*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a*b*c*d^2*(a*c)^(1/2)-15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^2*a^2*c*d^2*(b*d)^(1/2)-10*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^2*a*b*c^2*d*(b*d)^(1/2)+ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^2*b^2*c^3*(b*d)^(1/2)+8*x^2*a*d^2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)-18*x*a*c*d*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)-2*x*b*c^2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)-4*a*c^2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2))/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^2/(b*d)^(1/2)/(a*c)^(1/2)","B"
572,1,601,183,0.018000," ","int((d*x+c)^(5/2)*(b*x+a)^(1/2)/x^4,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-15 \sqrt{b d}\, a^{3} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-45 \sqrt{b d}\, a^{2} b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+48 \sqrt{a c}\, a^{2} b \,d^{3} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 \sqrt{b d}\, a \,b^{2} c^{2} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-3 \sqrt{b d}\, b^{3} c^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-66 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} d^{2} x^{2}-28 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a b c d \,x^{2}+6 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} c^{2} x^{2}-52 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} c d x -4 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a b \,c^{2} x -16 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} c^{2}\right)}{48 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} x^{3}}"," ",0,"1/48*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a^2*(48*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a^2*b*d^3*(a*c)^(1/2)-15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^3*a^3*d^3*(b*d)^(1/2)-45*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^3*a^2*b*c*d^2*(b*d)^(1/2)+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^3*a*b^2*c^2*d*(b*d)^(1/2)-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^3*b^3*c^3*(b*d)^(1/2)-66*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^2*a^2*d^2-28*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^2*a*b*c*d+6*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^2*b^2*c^2-52*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x*a^2*c*d-4*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x*a*b*c^2-16*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*c^2)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^3/(b*d)^(1/2)/(a*c)^(1/2)","B"
573,1,705,166,0.017000," ","int((d*x+c)^(5/2)*(b*x+a)^(1/2)/x^5,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(15 a^{4} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-60 a^{3} b c \,d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+90 a^{2} b^{2} c^{2} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-60 a \,b^{3} c^{3} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+15 b^{4} c^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-30 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} d^{3} x^{3}-146 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b c \,d^{2} x^{3}+110 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{2} c^{2} d \,x^{3}-30 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{3} c^{3} x^{3}-236 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} c \,d^{2} x^{2}-72 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b \,c^{2} d \,x^{2}+20 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{2} c^{3} x^{2}-272 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} c^{2} d x -16 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b \,c^{3} x -96 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{3} c^{3}\right)}{384 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{3} c \,x^{4}}"," ",0,"1/384*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a^3/c*(15*a^4*d^4*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-60*a^3*b*c*d^3*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+90*a^2*b^2*c^2*d^2*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-60*a*b^3*c^3*d*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+15*b^4*c^4*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-30*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*d^3*x^3-146*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b*c*d^2*x^3+110*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^2*c^2*d*x^3-30*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^3*c^3*x^3-236*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*c*d^2*x^2-72*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b*c^2*d*x^2+20*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^2*c^3*x^2-272*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*c^2*d*x-16*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b*c^3*x-96*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*a^3*c^3)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^4/(a*c)^(1/2)","B"
574,1,967,239,0.020000," ","int((d*x+c)^(5/2)*(b*x+a)^(1/2)/x^6,x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(45 a^{5} d^{5} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-75 a^{4} b c \,d^{4} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-150 a^{3} b^{2} c^{2} d^{3} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+450 a^{2} b^{3} c^{3} d^{2} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-375 a \,b^{4} c^{4} d \,x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+105 b^{5} c^{5} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-90 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} d^{4} x^{4}+120 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b c \,d^{3} x^{4}-692 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{2} d^{2} x^{4}+680 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{3} d \,x^{4}-210 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{4} c^{4} x^{4}+60 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} c \,d^{3} x^{3}+436 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,c^{2} d^{2} x^{3}-444 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{3} d \,x^{3}+140 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{4} x^{3}+1488 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} c^{2} d^{2} x^{2}+352 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,c^{3} d \,x^{2}-112 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{4} x^{2}+2016 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} c^{3} d x +96 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,c^{4} x +768 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{4} c^{4}\right)}{3840 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{4} c^{2} x^{5}}"," ",0,"-1/3840*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a^4/c^2*(45*a^5*d^5*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-75*a^4*b*c*d^4*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-150*a^3*b^2*c^2*d^3*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+450*a^2*b^3*c^3*d^2*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-375*a*b^4*c^4*d*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+105*b^5*c^5*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-90*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*d^4*x^4+120*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c*d^3*x^4-692*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^2*d^2*x^4+680*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^3*c^3*d*x^4-210*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^4*c^4*x^4+60*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*c*d^3*x^3+436*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c^2*d^2*x^3-444*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^3*d*x^3+140*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^3*c^4*x^3+1488*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*c^2*d^2*x^2+352*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c^3*d*x^2-112*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^4*x^2+2016*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*c^3*d*x+96*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c^4*x+768*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*a^4*c^4)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^5/(a*c)^(1/2)","B"
575,1,1271,386,0.035000," ","int((d*x+c)^(5/2)*(b*x+a)^(1/2)/x^7,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(75 a^{6} d^{6} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-90 a^{5} b c \,d^{5} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-75 a^{4} b^{2} c^{2} d^{4} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-300 a^{3} b^{3} c^{3} d^{3} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+1125 a^{2} b^{4} c^{4} d^{2} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-1050 a \,b^{5} c^{5} d \,x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+315 b^{6} c^{6} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-150 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{5} d^{5} x^{5}+130 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} b c \,d^{4} x^{5}+180 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} c^{2} d^{3} x^{5}-1676 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c^{3} d^{2} x^{5}+1890 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c^{4} d \,x^{5}-630 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{5} x^{5}+100 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{5} c \,d^{4} x^{4}-80 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} b \,c^{2} d^{3} x^{4}+1048 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} c^{3} d^{2} x^{4}-1232 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c^{4} d \,x^{4}+420 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c^{5} x^{4}-80 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{5} c^{2} d^{3} x^{3}-816 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} b \,c^{3} d^{2} x^{3}+976 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} c^{4} d \,x^{3}-336 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c^{5} x^{3}-4320 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{5} c^{3} d^{2} x^{2}-832 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} b \,c^{4} d \,x^{2}+288 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} c^{5} x^{2}-6400 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{5} c^{4} d x -256 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} b \,c^{5} x -2560 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{5} c^{5}\right)}{15360 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{5} c^{3} x^{6}}"," ",0,"1/15360*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a^5/c^3*(1125*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^6*a^2*b^4*c^4*d^2-150*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^5*a^5*d^5+75*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^6*a^6*d^6+315*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^6*b^6*c^6-2560*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^5*c^5*(a*c)^(1/2)-630*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^5*b^5*c^5-1050*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^6*a*b^5*c^5*d+100*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^4*a^5*c*d^4+420*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^4*a*b^4*c^5-80*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^3*a^5*c^2*d^3-336*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^3*a^2*b^3*c^5-4320*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^2*a^5*c^3*d^2+288*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^2*a^3*b^2*c^5-6400*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*a^5*c^4*d-256*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*a^4*b*c^5-90*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^6*a^5*b*c*d^5-75*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^6*a^4*b^2*c^2*d^4-300*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^6*a^3*b^3*c^3*d^3+130*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^5*a^4*b*c*d^4+180*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^5*a^3*b^2*c^2*d^3-1676*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^5*a^2*b^3*c^3*d^2+1890*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^5*a*b^4*c^4*d-832*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^2*a^4*b*c^4*d-80*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^4*a^4*b*c^2*d^3+1048*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^4*a^3*b^2*c^3*d^2-1232*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^4*a^2*b^3*c^4*d-816*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^3*a^4*b*c^3*d^2+976*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^3*a^3*b^2*c^4*d)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^6/(a*c)^(1/2)","B"
576,1,574,219,0.030000," ","int(x^3*(b*x+a)^(1/2)/(d*x+c)^(1/2),x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(15 a^{4} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+12 a^{3} b c \,d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+18 a^{2} b^{2} c^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+60 a \,b^{3} c^{3} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-105 b^{4} c^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-96 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} d^{3} x^{3}-16 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} d^{3} x^{2}+112 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} c \,d^{2} x^{2}+20 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b \,d^{3} x +24 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} c \,d^{2} x -140 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} c^{2} d x -30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} d^{3}-34 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b c \,d^{2}-50 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} c^{2} d +210 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{3}\right)}{384 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} d^{4}}"," ",0,"-1/384*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(-96*x^3*b^3*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-16*x^2*a*b^2*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+112*x^2*b^3*c*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+15*ln(1/2*(2*b*d*x+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+a*d+b*c)/(b*d)^(1/2))*a^4*d^4+12*ln(1/2*(2*b*d*x+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+a*d+b*c)/(b*d)^(1/2))*a^3*b*c*d^3+18*ln(1/2*(2*b*d*x+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+a*d+b*c)/(b*d)^(1/2))*a^2*b^2*c^2*d^2+60*ln(1/2*(2*b*d*x+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+a*d+b*c)/(b*d)^(1/2))*a*b^3*c^3*d-105*ln(1/2*(2*b*d*x+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+a*d+b*c)/(b*d)^(1/2))*b^4*c^4+20*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x*a^2*b*d^3+24*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x*a*b^2*c*d^2-140*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x*b^3*c^2*d-30*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^3*d^3-34*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*b*c*d^2-50*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b^2*c^2*d+210*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^3*c^3)/((b*x+a)*(d*x+c))^(1/2)/d^4/b^3/(b*d)^(1/2)","B"
577,1,395,159,0.022000," ","int(x^2*(b*x+a)^(1/2)/(d*x+c)^(1/2),x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(3 a^{3} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a^{2} b c \,d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+9 a \,b^{2} c^{2} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 b^{3} c^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+16 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} d^{2} x^{2}+4 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,d^{2} x -20 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c d x -6 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} d^{2}-8 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b c d +30 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{2}\right)}{48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} d^{3}}"," ",0,"1/48*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(16*x^2*b^2*d^2*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*d^3+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b*c*d^2+9*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b^2*c^2*d-15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*b^3*c^3+4*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a*b*d^2-20*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*b^2*c*d-6*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*d^2-8*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b*c*d+30*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*c^2)/d^3/((b*x+a)*(d*x+c))^(1/2)/b^2/(b*d)^(1/2)","B"
578,1,250,99,0.019000," ","int(x*(b*x+a)^(1/2)/(d*x+c)^(1/2),x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(a^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2 a b c d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 b^{2} c^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-4 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b d x -2 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a d +6 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b c \right)}{8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b \,d^{2}}"," ",0,"-1/8*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*d^2+2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b*c*d-3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*b^2*c^2-4*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*b*d+6*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b*c-2*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*d)/((b*x+a)*(d*x+c))^(1/2)/d^2/b/(b*d)^(1/2)","B"
579,1,107,57,0.008000," ","int((b*x+a)^(1/2)/(d*x+c)^(1/2),x)","-\frac{\left(-a d +b c \right) \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{2 \sqrt{b x +a}\, \sqrt{d x +c}\, \sqrt{b d}\, d}+\frac{\sqrt{b x +a}\, \sqrt{d x +c}}{d}"," ",0,"(b*x+a)^(1/2)*(d*x+c)^(1/2)/d-1/2*(-a*d+b*c)/d*((b*x+a)*(d*x+c))^(1/2)/(b*x+a)^(1/2)/(d*x+c)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)","A"
580,1,133,61,0.023000," ","int((b*x+a)^(1/2)/x/(d*x+c)^(1/2),x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-\sqrt{b d}\, a \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+\sqrt{a c}\, b \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)\right)}{\sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}}"," ",0,"(b*x+a)^(1/2)*(d*x+c)^(1/2)*(ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*b*(a*c)^(1/2)-ln((a*d*x+b*c*x+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+2*a*c)/x)*a*(b*d)^(1/2))/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(a*c)^(1/2)","B"
581,1,147,61,0.023000," ","int((b*x+a)^(1/2)/x^2/(d*x+c)^(1/2),x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(a d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-b c x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\right)}{2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, c x}"," ",0,"1/2*(b*x+a)^(1/2)*(d*x+c)^(1/2)/c*(ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a*d-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*b*c-2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/((b*x+a)*(d*x+c))^(1/2)/x/(a*c)^(1/2)","B"
582,1,258,105,0.023000," ","int((b*x+a)^(1/2)/x^3/(d*x+c)^(1/2),x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(3 a^{2} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-2 a b c d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-b^{2} c^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a d x +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b c x +4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a c \right)}{8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,c^{2} x^{2}}"," ",0,"-1/8*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a/c^2*(3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*d^2-2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a*b*c*d-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*b^2*c^2-6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x*a*d+2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x*b*c+4*((b*x+a)*(d*x+c))^(1/2)*a*c*(a*c)^(1/2))/((b*x+a)*(d*x+c))^(1/2)/x^2/(a*c)^(1/2)","B"
583,1,408,158,0.027000," ","int((b*x+a)^(1/2)/x^4/(d*x+c)^(1/2),x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(15 a^{3} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-9 a^{2} b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3 a \,b^{2} c^{2} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3 b^{3} c^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} d^{2} x^{2}+8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a b c d \,x^{2}+6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{2} c^{2} x^{2}+20 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} c d x -4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a b \,c^{2} x -16 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} c^{2}\right)}{48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} c^{3} x^{3}}"," ",0,"1/48*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a^2/c^3*(15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^3*d^3-9*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^2*b*c*d^2-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a*b^2*c^2*d-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*b^3*c^3-30*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^2*a^2*d^2+8*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^2*a*b*c*d+6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^2*b^2*c^2+20*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x*a^2*c*d-4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x*a*b*c^2-16*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*c^2)/((b*x+a)*(d*x+c))^(1/2)/x^3/(a*c)^(1/2)","B"
584,1,593,241,0.028000," ","int((b*x+a)^(1/2)/x^5/(d*x+c)^(1/2),x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(105 a^{4} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-60 a^{3} b c \,d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-18 a^{2} b^{2} c^{2} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-12 a \,b^{3} c^{3} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-15 b^{4} c^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-210 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} d^{3} x^{3}+50 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b c \,d^{2} x^{3}+34 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{2} c^{2} d \,x^{3}+30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{3} c^{3} x^{3}+140 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} c \,d^{2} x^{2}-24 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b \,c^{2} d \,x^{2}-20 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{2} c^{3} x^{2}-112 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} c^{2} d x +16 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b \,c^{3} x +96 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} c^{3}\right)}{384 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} c^{4} x^{4}}"," ",0,"-1/384*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a^3/c^4*(105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^4*d^4-60*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^3*b*c*d^3-18*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^2*b^2*c^2*d^2-12*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a*b^3*c^3*d-15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*b^4*c^4-210*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^3*a^3*d^3+50*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^3*a^2*b*c*d^2+34*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^3*a*b^2*c^2*d+30*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^3*b^3*c^3+140*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^2*a^3*c*d^2-24*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^2*a^2*b*c^2*d-20*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^2*a*b^2*c^3-112*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x*a^3*c^2*d+16*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x*a^2*b*c^3+96*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^3*c^3)/((b*x+a)*(d*x+c))^(1/2)/x^4/(a*c)^(1/2)","B"
585,1,456,159,0.029000," ","int(x^2*(b*x+a)^(1/2)/(d*x+c)^(3/2),x)","-\frac{\sqrt{b x +a}\, \left(a^{2} d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+6 a b c \,d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 b^{2} c^{2} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+a^{2} c \,d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+6 a b \,c^{2} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 b^{2} c^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b \,d^{2} x^{2}-2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,d^{2} x +10 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b c d x -2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a c d +30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b \,c^{2}\right)}{8 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{d x +c}\, b \,d^{3}}"," ",0,"-1/8*(b*x+a)^(1/2)*(ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*d^3+6*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b*c*d^2-15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b^2*c^2*d-4*x^2*b*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*c*d^2+6*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b*c^2*d-15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*b^2*c^3-2*x*a*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+10*x*b*c*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-2*a*c*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+30*b*c^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2)/b/((b*x+a)*(d*x+c))^(1/2)/d^3/(d*x+c)^(1/2)","B"
586,1,264,107,0.023000," ","int(x*(b*x+a)^(1/2)/(d*x+c)^(3/2),x)","\frac{\sqrt{b x +a}\, \left(a \,d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 b c d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+a c d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 b \,c^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, d x +6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, c \right)}{2 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{d x +c}\, d^{2}}"," ",0,"1/2*(b*x+a)^(1/2)*(ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*d^2-3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b*c*d+ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*c*d-3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*b*c^2+2*x*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+6*c*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2)/((b*x+a)*(d*x+c))^(1/2)/d^2/(d*x+c)^(1/2)","B"
587,0,0,50,0.000000," ","int((b*x+a)^(1/2)/(d*x+c)^(3/2),x)","\int \frac{\sqrt{b x +a}}{\left(d x +c \right)^{\frac{3}{2}}}\, dx"," ",0,"int((b*x+a)^(1/2)/(d*x+c)^(3/2),x)","F"
588,1,143,50,0.025000," ","int((b*x+a)^(1/2)/x/(d*x+c)^(3/2),x)","\frac{\left(-a d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-a c \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\right) \sqrt{b x +a}}{\sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{d x +c}\, c}"," ",0,"(-a*d*x*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))*(b*x+a)^(1/2)/c/(a*c)^(1/2)/((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)","B"
589,1,267,93,0.026000," ","int((b*x+a)^(1/2)/x^2/(d*x+c)^(3/2),x)","\frac{\sqrt{b x +a}\, \left(3 a \,d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-b c d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 a c d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-b \,c^{2} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, d x -2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, c \right)}{2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{d x +c}\, c^{2} x}"," ",0,"1/2*(b*x+a)^(1/2)/c^2*(3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a*d^2-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*b*c*d+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a*c*d-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*b*c^2-6*x*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-2*c*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/(a*c)^(1/2)/x/((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)","B"
590,1,467,139,0.030000," ","int((b*x+a)^(1/2)/x^3/(d*x+c)^(3/2),x)","-\frac{\sqrt{b x +a}\, \left(15 a^{2} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 a b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-b^{2} c^{2} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a^{2} c \,d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 a b \,c^{2} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-b^{2} c^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,d^{2} x^{2}+2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b c d \,x^{2}-10 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a c d x +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b \,c^{2} x +4 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,c^{2}\right)}{8 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{d x +c}\, a \,c^{3} x^{2}}"," ",0,"-1/8*(b*x+a)^(1/2)/a/c^3*(15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^2*d^3-6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a*b*c*d^2-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*b^2*c^2*d+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*c*d^2-6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a*b*c^2*d-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*b^2*c^3-30*x^2*a*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+2*x^2*b*c*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-10*x*a*c*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+2*x*b*c^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+4*a*c^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/(a*c)^(1/2)/x^2/((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)","B"
591,1,986,186,0.033000," ","int(x^3*(b*x+a)^(1/2)/(d*x+c)^(5/2),x)","-\frac{\left(3 a^{3} d^{5} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+27 a^{2} b c \,d^{4} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-135 a \,b^{2} c^{2} d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+105 b^{3} c^{3} d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+6 a^{3} c \,d^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+54 a^{2} b \,c^{2} d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-270 a \,b^{2} c^{3} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+210 b^{3} c^{4} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a^{3} c^{2} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+27 a^{2} b \,c^{3} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-135 a \,b^{2} c^{4} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-12 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a b \,d^{4} x^{3}+105 b^{3} c^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+12 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} c \,d^{3} x^{3}-6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} d^{4} x^{2}+48 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b c \,d^{3} x^{2}-42 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{2} d^{2} x^{2}-12 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} c \,d^{3} x +276 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{2} d^{2} x -280 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{3} d x -6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} c^{2} d^{2}+200 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{3} d -210 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{4}\right) \sqrt{b x +a}}{24 \left(a d -b c \right) \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(d x +c \right)^{\frac{3}{2}} b \,d^{4}}"," ",0,"-1/24*(3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^3*d^5+27*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^2*b*c*d^4-135*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a*b^2*c^2*d^3+105*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*b^3*c^3*d^2-12*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^3*a*b*d^4+12*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^3*b^2*c*d^3+6*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^3*c*d^4+54*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*b*c^2*d^3-270*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b^2*c^3*d^2+210*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b^3*c^4*d-6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^2*a^2*d^4+48*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*a*b*c*d^3-42*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*b^2*c^2*d^2+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*c^2*d^3+27*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b*c^3*d^2-135*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b^2*c^4*d+105*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*b^3*c^5-12*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x*a^2*c*d^3+276*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a*b*c^2*d^2-280*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*b^2*c^3*d-6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*c^2*d^2+200*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b*c^3*d-210*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*c^4)*(b*x+a)^(1/2)/(a*d-b*c)/(b*d)^(1/2)/b/((b*x+a)*(d*x+c))^(1/2)/d^4/(d*x+c)^(3/2)","B"
592,1,659,139,0.022000," ","int(x^2*(b*x+a)^(1/2)/(d*x+c)^(5/2),x)","\frac{\left(3 a^{2} d^{4} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-18 a b c \,d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 b^{2} c^{2} d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+6 a^{2} c \,d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-36 a b \,c^{2} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+30 b^{2} c^{3} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a^{2} c^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-18 a b \,c^{3} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 b^{2} c^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,d^{3} x^{2}-6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b c \,d^{2} x^{2}+36 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a c \,d^{2} x -40 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b \,c^{2} d x +26 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,c^{2} d -30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b \,c^{3}\right) \sqrt{b x +a}}{6 \sqrt{b d}\, \left(a d -b c \right) \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(d x +c \right)^{\frac{3}{2}} d^{3}}"," ",0,"1/6*(3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^2*d^4-18*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a*b*c*d^3+15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*b^2*c^2*d^2+6*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*c*d^3-36*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b*c^2*d^2+30*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b^2*c^3*d+6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^2*a*d^3-6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^2*b*c*d^2+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*c^2*d^2-18*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b*c^3*d+15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*b^2*c^4+36*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x*a*c*d^2-40*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x*b*c^2*d+26*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*c^2*d-30*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b*c^3)*(b*x+a)^(1/2)/(b*d)^(1/2)/(a*d-b*c)/((b*x+a)*(d*x+c))^(1/2)/d^3/(d*x+c)^(3/2)","B"
593,1,442,80,0.023000," ","int(x*(b*x+a)^(1/2)/(d*x+c)^(5/2),x)","\frac{\left(3 a b \,d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 b^{2} c \,d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+6 a b c \,d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-6 b^{2} c^{2} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a b \,c^{2} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 b^{2} c^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,d^{2} x +8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b c d x -4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a c d +6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b \,c^{2}\right) \sqrt{b x +a}}{3 \sqrt{b d}\, \left(a d -b c \right) \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(d x +c \right)^{\frac{3}{2}} d^{2}}"," ",0,"1/3*(3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a*b*d^3-3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*b^2*c*d^2+6*a*b*c*d^2*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-6*b^2*c^2*d*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+3*a*b*c^2*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-3*b^2*c^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*d^2*x+8*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b*c*d*x-4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*c*d+6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b*c^2)*(b*x+a)^(1/2)/(b*d)^(1/2)/(a*d-b*c)/((b*x+a)*(d*x+c))^(1/2)/d^2/(d*x+c)^(3/2)","B"
594,1,27,26,0.007000," ","int((b*x+a)^(1/2)/(d*x+c)^(5/2),x)","-\frac{2 \left(b x +a \right)^{\frac{3}{2}}}{3 \left(d x +c \right)^{\frac{3}{2}} \left(a d -b c \right)}"," ",0,"-2/3*(b*x+a)^(3/2)/(d*x+c)^(3/2)/(a*d-b*c)","A"
595,1,430,80,0.027000," ","int((b*x+a)^(1/2)/x/(d*x+c)^(5/2),x)","-\frac{\left(3 a^{2} d^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3 a b c \,d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+6 a^{2} c \,d^{2} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 a b \,c^{2} d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 a^{2} c^{2} d \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3 a b \,c^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,d^{2} x +4 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b c d x -8 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a c d +6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b \,c^{2}\right) \sqrt{b x +a}}{3 \left(a d -b c \right) \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(d x +c \right)^{\frac{3}{2}} c^{2}}"," ",0,"-1/3*(3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*d^3-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a*b*c*d^2+6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^2*c*d^2-6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a*b*c^2*d+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a^2*c^2*d-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a*b*c^3-6*x*a*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+4*x*b*c*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-8*a*c*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+6*b*c^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/c^2*(b*x+a)^(1/2)/(a*d-b*c)/(a*c)^(1/2)/((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(3/2)","B"
596,1,653,120,0.029000," ","int((b*x+a)^(1/2)/x^2/(d*x+c)^(5/2),x)","\frac{\left(15 a^{2} d^{4} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-18 a b c \,d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 b^{2} c^{2} d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+30 a^{2} c \,d^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-36 a b \,c^{2} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+6 b^{2} c^{3} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a^{2} c^{2} d^{2} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-18 a b \,c^{3} d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 b^{2} c^{4} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,d^{3} x^{2}+26 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b c \,d^{2} x^{2}-40 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a c \,d^{2} x +36 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b \,c^{2} d x -6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,c^{2} d +6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b \,c^{3}\right) \sqrt{b x +a}}{6 \left(a d -b c \right) \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(d x +c \right)^{\frac{3}{2}} c^{3} x}"," ",0,"1/6*(15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^2*d^4-18*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a*b*c*d^3+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*b^2*c^2*d^2+30*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*c*d^3-36*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a*b*c^2*d^2+6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*b^2*c^3*d+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^2*c^2*d^2-18*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a*b*c^3*d+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*b^2*c^4-30*x^2*a*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+26*x^2*b*c*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-40*x*a*c*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+36*x*b*c^2*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-6*a*c^2*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+6*b*c^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/c^3*(b*x+a)^(1/2)/(a*d-b*c)/(a*c)^(1/2)/x/((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(3/2)","B"
597,1,988,196,0.039000," ","int((b*x+a)^(1/2)/x^3/(d*x+c)^(5/2),x)","-\frac{\left(105 a^{3} d^{5} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-135 a^{2} b c \,d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+27 a \,b^{2} c^{2} d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 b^{3} c^{3} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+210 a^{3} c \,d^{4} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-270 a^{2} b \,c^{2} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+54 a \,b^{2} c^{3} d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+6 b^{3} c^{4} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+105 a^{3} c^{2} d^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-135 a^{2} b \,c^{3} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+27 a \,b^{2} c^{4} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 b^{3} c^{5} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-210 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} d^{4} x^{3}+200 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b c \,d^{3} x^{3}-6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{2} d^{2} x^{3}-280 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c \,d^{3} x^{2}+276 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{2} d^{2} x^{2}-12 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{3} d \,x^{2}-42 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c^{2} d^{2} x +48 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{3} d x -6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{4} x +12 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c^{3} d -12 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{4}\right) \sqrt{b x +a}}{24 \left(a d -b c \right) \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(d x +c \right)^{\frac{3}{2}} a \,c^{4} x^{2}}"," ",0,"-1/24*(105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^3*d^5-135*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^2*b*c*d^4+27*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a*b^2*c^2*d^3+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*b^3*c^3*d^2+210*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^3*c*d^4-270*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^2*b*c^2*d^3+54*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a*b^2*c^3*d^2+6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*b^3*c^4*d+105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^3*c^2*d^3-135*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*b*c^3*d^2+27*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a*b^2*c^4*d+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*b^3*c^5-210*x^3*a^2*d^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+200*x^3*a*b*c*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-6*x^3*b^2*c^2*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-280*x^2*a^2*c*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+276*x^2*a*b*c^2*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-12*x^2*b^2*c^3*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-42*x*a^2*c^2*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+48*x*a*b*c^3*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-6*x*b^2*c^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+12*a^2*c^3*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-12*a*b*c^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/c^4/a*(b*x+a)^(1/2)/(a*d-b*c)/(a*c)^(1/2)/x^2/((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(3/2)","B"
598,1,942,271,0.018000," ","int(x^2*(b*x+a)^(3/2)*(d*x+c)^(1/2),x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-768 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{4} d^{4} x^{4}+45 a^{5} d^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-45 a^{4} b c \,d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-30 a^{3} b^{2} c^{2} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-90 a^{2} b^{3} c^{3} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+225 a \,b^{4} c^{4} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-1056 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{3} d^{4} x^{3}-105 b^{5} c^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-96 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{4} c \,d^{3} x^{3}-48 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b^{2} d^{4} x^{2}-192 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{3} c \,d^{3} x^{2}+112 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{4} c^{2} d^{2} x^{2}+60 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,d^{4} x -36 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c \,d^{3} x +244 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{2} d^{2} x -140 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{4} c^{3} d x -90 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} d^{4}+60 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b c \,d^{3}+72 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{2} d^{2}-380 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{3} d +210 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{4} c^{4}\right)}{3840 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{3} d^{4}}"," ",0,"-1/3840*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(-768*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^4*d^4*x^4-1056*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^3*d^4*x^3-96*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^4*c*d^3*x^3-48*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^2*b^2*d^4*x^2-192*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^3*c*d^3*x^2+112*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^4*c^2*d^2*x^2+45*a^5*d^5*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-45*a^4*b*c*d^4*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-30*a^3*b^2*c^2*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-90*a^2*b^3*c^3*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+225*a*b^4*c^4*d*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-105*b^5*c^5*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+60*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*d^4*x-36*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c*d^3*x+244*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^3*c^2*d^2*x-140*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^4*c^3*d*x-90*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*d^4+60*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c*d^3+72*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^2*d^2-380*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^3*c^3*d+210*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^4*c^4)/b^3/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/d^4/(b*d)^(1/2)","B"
599,1,686,183,0.017000," ","int(x*(b*x+a)^(3/2)*(d*x+c)^(1/2),x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(9 a^{4} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-12 a^{3} b c \,d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-18 a^{2} b^{2} c^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+36 a \,b^{3} c^{3} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 b^{4} c^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+96 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{3} d^{3} x^{3}+144 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{2} d^{3} x^{2}+16 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{3} c \,d^{2} x^{2}+12 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b \,d^{3} x +40 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{2} c \,d^{2} x -20 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{3} c^{2} d x -18 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{3} d^{3}+18 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b c \,d^{2}-62 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{2} c^{2} d +30 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{3} c^{3}\right)}{384 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{2} d^{3}}"," ",0,"1/384*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(96*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^3*d^3*x^3+144*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^2*d^3*x^2+16*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^3*c*d^2*x^2+9*a^4*d^4*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-12*a^3*b*c*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-18*a^2*b^2*c^2*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+36*a*b^3*c^3*d*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-15*b^4*c^4*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+12*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^2*b*d^3*x+40*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^2*c*d^2*x-20*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^3*c^2*d*x-18*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^3*d^3+18*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^2*b*c*d^2-62*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^2*c^2*d+30*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^3*c^3)/b^2/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/d^3/(b*d)^(1/2)","B"
600,1,460,122,0.007000," ","int((b*x+a)^(3/2)*(d*x+c)^(1/2),x)","-\frac{\sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} d \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{16 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, b}+\frac{3 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{16 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}}-\frac{3 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{2} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{16 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, d}+\frac{\sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{3} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{16 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, d^{2}}+\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, a^{2}}{8 b}-\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, a c}{4 d}+\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, b \,c^{2}}{8 d^{2}}+\frac{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{3}{2}} a}{4 d}-\frac{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{3}{2}} b c}{4 d^{2}}+\frac{\left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{3}{2}}}{3 d}"," ",0,"1/3/d*(b*x+a)^(3/2)*(d*x+c)^(3/2)+1/4/d*(b*x+a)^(1/2)*(d*x+c)^(3/2)*a-1/4/d^2*(b*x+a)^(1/2)*(d*x+c)^(3/2)*b*c+1/8/b*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^2-1/4/d*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a*c+1/8/d^2*(d*x+c)^(1/2)*(b*x+a)^(1/2)*c^2*b-1/16*d/b*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*a^3+3/16*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*a^2*c-3/16/d*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*a*c^2*b+1/16/d^2*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*c^3*b^2","B"
601,1,389,126,0.015000," ","int((b*x+a)^(3/2)*(d*x+c)^(1/2)/x,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-8 \sqrt{b d}\, a^{2} c d \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+3 \sqrt{a c}\, a^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+6 \sqrt{a c}\, a b c d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-\sqrt{a c}\, b^{2} c^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+4 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b d x +10 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a d +2 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b c \right)}{8 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, d}"," ",0,"1/8*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(3*(a*c)^(1/2)*a^2*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+6*(a*c)^(1/2)*a*b*c*d*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-(a*c)^(1/2)*b^2*c^2*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+4*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b*d*x-8*(b*d)^(1/2)*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*a^2*c*d+10*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*d+2*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b*c)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/d/(b*d)^(1/2)/(a*c)^(1/2)","B"
602,1,347,112,0.016000," ","int((b*x+a)^(3/2)*(d*x+c)^(1/2)/x^2,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-\sqrt{b d}\, a^{2} d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-3 \sqrt{b d}\, a b c x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+3 \sqrt{a c}\, a b d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+\sqrt{a c}\, b^{2} c x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b x -2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \right)}{2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, x}"," ",0,"1/2*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b*d*(a*c)^(1/2)+ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b^2*c*(a*c)^(1/2)-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x*a^2*d*(b*d)^(1/2)-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x*a*b*c*(b*d)^(1/2)+2*x*b*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)-2*a*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x/(b*d)^(1/2)/(a*c)^(1/2)","B"
603,1,400,133,0.017000," ","int((b*x+a)^(3/2)*(d*x+c)^(1/2)/x^3,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(\sqrt{b d}\, a^{2} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-6 \sqrt{b d}\, a b c d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-3 \sqrt{b d}\, b^{2} c^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+8 \sqrt{a c}\, b^{2} c d \,x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-2 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a d x -10 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b c x -4 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a c \right)}{8 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, c \,x^{2}}"," ",0,"1/8*(b*x+a)^(1/2)*(d*x+c)^(1/2)/c*(8*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*b^2*c*d*(a*c)^(1/2)+(b*d)^(1/2)*a^2*d^2*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-6*(b*d)^(1/2)*a*b*c*d*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-3*(b*d)^(1/2)*b^2*c^2*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-2*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*d*x-10*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b*c*x-4*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*c)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^2/(b*d)^(1/2)/(a*c)^(1/2)","B"
604,1,485,128,0.016000," ","int((b*x+a)^(3/2)*(d*x+c)^(1/2)/x^4,x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(3 a^{3} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-9 a^{2} b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+9 a \,b^{2} c^{2} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-3 b^{3} c^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-6 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} d^{2} x^{2}+16 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a b c d \,x^{2}+6 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{2} c^{2} x^{2}+4 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} c d x +28 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a b \,c^{2} x +16 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{2} c^{2}\right)}{48 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a \,c^{2} x^{3}}"," ",0,"-1/48*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a/c^2*(3*a^3*d^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-9*a^2*b*c*d^2*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+9*a*b^2*c^2*d*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-3*b^3*c^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-6*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*d^2*x^2+16*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b*c*d*x^2+6*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^2*c^2*x^2+4*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*c*d*x+28*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b*c^2*x+16*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*a^2*c^2)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^3/(a*c)^(1/2)","B"
605,1,705,195,0.018000," ","int((b*x+a)^(3/2)*(d*x+c)^(1/2)/x^5,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(15 a^{4} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-36 a^{3} b c \,d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+18 a^{2} b^{2} c^{2} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+12 a \,b^{3} c^{3} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-9 b^{4} c^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-30 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} d^{3} x^{3}+62 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b c \,d^{2} x^{3}-18 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{2} c^{2} d \,x^{3}+18 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{3} c^{3} x^{3}+20 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} c \,d^{2} x^{2}-40 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b \,c^{2} d \,x^{2}-12 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{2} c^{3} x^{2}-16 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} c^{2} d x -144 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b \,c^{3} x -96 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{3} c^{3}\right)}{384 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{2} c^{3} x^{4}}"," ",0,"1/384*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a^2/c^3*(15*a^4*d^4*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-36*a^3*b*c*d^3*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+18*a^2*b^2*c^2*d^2*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+12*a*b^3*c^3*d*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-9*b^4*c^4*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-30*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*d^3*x^3+62*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b*c*d^2*x^3-18*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^2*c^2*d*x^3+18*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^3*c^3*x^3+20*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*c*d^2*x^2-40*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b*c^2*d*x^2-12*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^2*c^3*x^2-16*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*c^2*d*x-144*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b*c^3*x-96*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*a^3*c^3)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^4/(a*c)^(1/2)","B"
606,1,967,296,0.021000," ","int((b*x+a)^(3/2)*(d*x+c)^(1/2)/x^6,x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(105 a^{5} d^{5} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-225 a^{4} b c \,d^{4} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+90 a^{3} b^{2} c^{2} d^{3} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+30 a^{2} b^{3} c^{3} d^{2} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+45 a \,b^{4} c^{4} d \,x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-45 b^{5} c^{5} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-210 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} d^{4} x^{4}+380 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b c \,d^{3} x^{4}-72 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{2} d^{2} x^{4}-60 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{3} d \,x^{4}+90 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{4} c^{4} x^{4}+140 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} c \,d^{3} x^{3}-244 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,c^{2} d^{2} x^{3}+36 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{3} d \,x^{3}-60 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{4} x^{3}-112 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} c^{2} d^{2} x^{2}+192 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,c^{3} d \,x^{2}+48 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{4} x^{2}+96 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} c^{3} d x +1056 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,c^{4} x +768 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{4} c^{4}\right)}{3840 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{3} c^{4} x^{5}}"," ",0,"-1/3840*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a^3/c^4*(105*a^5*d^5*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-225*a^4*b*c*d^4*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+90*a^3*b^2*c^2*d^3*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+30*a^2*b^3*c^3*d^2*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+45*a*b^4*c^4*d*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-45*b^5*c^5*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-210*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*d^4*x^4+380*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c*d^3*x^4-72*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^2*d^2*x^4-60*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^3*c^3*d*x^4+90*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^4*c^4*x^4+140*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*c*d^3*x^3-244*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c^2*d^2*x^3+36*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^3*d*x^3-60*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^3*c^4*x^3-112*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*c^2*d^2*x^2+192*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c^3*d*x^2+48*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^4*x^2+96*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*c^3*d*x+1056*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c^4*x+768*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*a^4*c^4)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^5/(a*c)^(1/2)","B"
607,1,1240,299,0.018000," ","int(x^2*(b*x+a)^(3/2)*(d*x+c)^(3/2),x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(2560 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} d^{5} x^{5}+3328 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} d^{5} x^{4}+3328 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c \,d^{4} x^{4}+105 a^{6} d^{6} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-270 a^{5} b c \,d^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+135 a^{4} b^{2} c^{2} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+60 a^{3} b^{3} c^{3} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+135 a^{2} b^{4} c^{4} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+96 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} d^{5} x^{3}-270 a \,b^{5} c^{5} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+4672 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c \,d^{4} x^{3}+105 b^{6} c^{6} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+96 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{2} d^{3} x^{3}-112 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} d^{5} x^{2}+240 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c \,d^{4} x^{2}+240 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c^{2} d^{3} x^{2}-112 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{3} d^{2} x^{2}+140 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} b \,d^{5} x -304 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} c \,d^{4} x +72 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c^{2} d^{3} x -304 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c^{3} d^{2} x +140 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{4} d x -210 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{5} d^{5}+470 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} b c \,d^{4}-132 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} c^{2} d^{3}-132 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c^{3} d^{2}+470 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c^{4} d -210 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{5}\right)}{15360 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{4} d^{4}}"," ",0,"1/15360*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(3328*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^4*d^5*x^4+3328*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*c*d^4*x^4+96*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^3*d^5*x^3+96*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*c^2*d^3*x^3-112*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b^2*d^5*x^2-112*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*c^3*d^2*x^2+140*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*b*d^5*x+140*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*c^4*d*x+470*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*b*c*d^4-132*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b^2*c^2*d^3-132*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^3*c^3*d^2+470*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^4*c^4*d-270*a^5*b*c*d^5*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+135*a^4*b^2*c^2*d^4*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+60*a^3*b^3*c^3*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+135*a^2*b^4*c^4*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-270*a*b^5*c^5*d*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+2560*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*d^5*x^5-210*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^5*d^5-210*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*c^5+105*a^6*d^6*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+105*b^6*c^6*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+4672*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^4*c*d^4*x^3+240*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^3*c*d^4*x^2+240*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^4*c^2*d^3*x^2-304*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b^2*c*d^4*x+72*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^3*c^2*d^3*x-304*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^4*c^3*d^2*x)/b^4/d^4/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/(b*d)^(1/2)","B"
608,1,942,214,0.016000," ","int(x*(b*x+a)^(3/2)*(d*x+c)^(3/2),x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-256 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{4} d^{4} x^{4}+15 a^{5} d^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-45 a^{4} b c \,d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+30 a^{3} b^{2} c^{2} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+30 a^{2} b^{3} c^{3} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-45 a \,b^{4} c^{4} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-352 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{3} d^{4} x^{3}+15 b^{5} c^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-352 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{4} c \,d^{3} x^{3}-16 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b^{2} d^{4} x^{2}-544 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{3} c \,d^{3} x^{2}-16 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{4} c^{2} d^{2} x^{2}+20 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,d^{4} x -52 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c \,d^{3} x -52 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{2} d^{2} x +20 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{4} c^{3} d x -30 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} d^{4}+80 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b c \,d^{3}-36 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{2} d^{2}+80 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{3} d -30 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{4} c^{4}\right)}{1280 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{3} d^{3}}"," ",0,"-1/1280*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(-256*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^4*d^4*x^4-352*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^3*d^4*x^3-352*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^4*c*d^3*x^3-16*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^2*b^2*d^4*x^2-544*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^3*c*d^3*x^2-16*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^4*c^2*d^2*x^2+15*a^5*d^5*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-45*a^4*b*c*d^4*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+30*a^3*b^2*c^2*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+30*a^2*b^3*c^3*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-45*a*b^4*c^4*d*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+15*b^5*c^5*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+20*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*d^4*x-52*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c*d^3*x-52*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^3*c^2*d^2*x+20*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^4*c^3*d*x-30*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*d^4+80*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c*d^3-36*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^2*d^2+80*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^3*c^3*d-30*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^4*c^4)/b^3/d^3/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/(b*d)^(1/2)","B"
609,1,640,151,0.000000," ","int((b*x+a)^(3/2)*(d*x+c)^(3/2),x)","\frac{3 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} d^{2} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{128 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, b^{2}}-\frac{3 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c d \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{32 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, b}+\frac{9 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c^{2} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{64 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}}-\frac{3 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{3} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{32 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, d}+\frac{3 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{4} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{128 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, d^{2}}-\frac{3 \sqrt{d x +c}\, \sqrt{b x +a}\, a^{3} d}{64 b^{2}}+\frac{9 \sqrt{d x +c}\, \sqrt{b x +a}\, a^{2} c}{64 b}-\frac{9 \sqrt{d x +c}\, \sqrt{b x +a}\, a \,c^{2}}{64 d}+\frac{3 \sqrt{d x +c}\, \sqrt{b x +a}\, b \,c^{3}}{64 d^{2}}+\frac{\left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, a^{2}}{32 b}-\frac{\left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, a c}{16 d}+\frac{\left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, b \,c^{2}}{32 d^{2}}+\frac{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{5}{2}} a}{8 d}-\frac{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{5}{2}} b c}{8 d^{2}}+\frac{\left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{5}{2}}}{4 d}"," ",0,"3/128*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(b*d)^(1/2)*a^4/b^2*d^2*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))-3/32*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(b*d)^(1/2)*a^3/b*c*d*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))+9/64*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(b*d)^(1/2)*a^2*c^2*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))-3/32*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(b*d)^(1/2)*a*b*c^3/d*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))+3/128*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(b*d)^(1/2)*b^2*c^4/d^2*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))-3/64*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^3/b^2*d+9/64*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^2/b*c-9/64*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a*c^2/d+3/64*(d*x+c)^(1/2)*(b*x+a)^(1/2)*b*c^3/d^2+1/32*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a^2/b-1/16*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a*c/d+1/32*(d*x+c)^(3/2)*(b*x+a)^(1/2)*b*c^2/d^2+1/8*(b*x+a)^(1/2)*(d*x+c)^(5/2)*a/d-1/8*(b*x+a)^(1/2)*(d*x+c)^(5/2)*b*c/d^2+1/4*(b*x+a)^(3/2)*(d*x+c)^(5/2)/d","B"
610,1,587,169,0.015000," ","int((b*x+a)^(3/2)*(d*x+c)^(3/2)/x,x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(3 \sqrt{a c}\, a^{3} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+48 \sqrt{b d}\, a^{2} b \,c^{2} d \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-27 \sqrt{a c}\, a^{2} b c \,d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-27 \sqrt{a c}\, a \,b^{2} c^{2} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 \sqrt{a c}\, b^{3} c^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-16 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} d^{2} x^{2}-28 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a b \,d^{2} x -28 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{2} c d x -6 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} d^{2}-76 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a b c d -6 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{2} c^{2}\right)}{48 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b d}"," ",0,"-1/48*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(-16*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*b^2*d^2*x^2+3*(a*c)^(1/2)*a^3*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-27*(a*c)^(1/2)*a^2*b*c*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-27*(a*c)^(1/2)*a*b^2*c^2*d*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+3*(a*c)^(1/2)*b^3*c^3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+48*(b*d)^(1/2)*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*a^2*b*c^2*d-28*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b*d^2*x-28*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^2*c*d*x-6*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*d^2-76*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b*c*d-6*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^2*c^2)/(b*d)^(1/2)/(a*c)^(1/2)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/b/d","B"
611,1,489,149,0.018000," ","int((b*x+a)^(3/2)*(d*x+c)^(3/2)/x^2,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-12 \sqrt{b d}\, a^{2} c d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+3 \sqrt{a c}\, a^{2} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-12 \sqrt{b d}\, a b \,c^{2} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+18 \sqrt{a c}\, a b c d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 \sqrt{a c}\, b^{2} c^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+4 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b d \,x^{2}+10 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a d x +10 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b c x -8 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a c \right)}{8 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, x}"," ",0,"1/8*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*x*a^2*d^2+18*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*x*a*b*c*d+3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*x*b^2*c^2-12*(b*d)^(1/2)*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x*a^2*c*d-12*(b*d)^(1/2)*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x*a*b*c^2+4*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x^2*b*d+10*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*d*x+10*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b*c*x-8*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*c)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x/(b*d)^(1/2)/(a*c)^(1/2)","B"
612,1,497,165,0.017000," ","int((b*x+a)^(3/2)*(d*x+c)^(3/2)/x^3,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-3 \sqrt{b d}\, a^{2} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-18 \sqrt{b d}\, a b c d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+12 \sqrt{a c}\, a b \,d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 \sqrt{b d}\, b^{2} c^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+12 \sqrt{a c}\, b^{2} c d \,x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+8 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b d \,x^{2}-10 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a d x -10 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b c x -4 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a c \right)}{8 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, x^{2}}"," ",0,"1/8*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(12*(a*c)^(1/2)*a*b*d^2*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+12*(a*c)^(1/2)*b^2*c*d*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-3*(b*d)^(1/2)*a^2*d^2*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-18*(b*d)^(1/2)*a*b*c*d*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-3*(b*d)^(1/2)*b^2*c^2*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+8*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b*d*x^2-10*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*d*x-10*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b*c*x-4*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*c)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^2/(b*d)^(1/2)/(a*c)^(1/2)","B"
613,1,605,178,0.019000," ","int((b*x+a)^(3/2)*(d*x+c)^(3/2)/x^4,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(3 \sqrt{b d}\, a^{3} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-27 \sqrt{b d}\, a^{2} b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-27 \sqrt{b d}\, a \,b^{2} c^{2} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+48 \sqrt{a c}\, a \,b^{2} c \,d^{2} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 \sqrt{b d}\, b^{3} c^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-6 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} d^{2} x^{2}-76 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a b c d \,x^{2}-6 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} c^{2} x^{2}-28 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} c d x -28 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a b \,c^{2} x -16 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} c^{2}\right)}{48 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a c \,x^{3}}"," ",0,"1/48*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a/c*(48*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a*b^2*c*d^2*(a*c)^(1/2)+3*(b*d)^(1/2)*a^3*d^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-27*(b*d)^(1/2)*a^2*b*c*d^2*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-27*(b*d)^(1/2)*a*b^2*c^2*d*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+3*(b*d)^(1/2)*b^3*c^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-6*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*d^2*x^2-76*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*b*c*d*x^2-6*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*b^2*c^2*x^2-28*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*c*d*x-28*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*b*c^2*x-16*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*c^2)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^3/(b*d)^(1/2)/(a*c)^(1/2)","B"
614,1,705,163,0.020000," ","int((b*x+a)^(3/2)*(d*x+c)^(3/2)/x^5,x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(3 a^{4} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-12 a^{3} b c \,d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+18 a^{2} b^{2} c^{2} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-12 a \,b^{3} c^{3} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+3 b^{4} c^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-6 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} d^{3} x^{3}+22 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b c \,d^{2} x^{3}+22 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{2} c^{2} d \,x^{3}-6 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{3} c^{3} x^{3}+4 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} c \,d^{2} x^{2}+88 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b \,c^{2} d \,x^{2}+4 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{2} c^{3} x^{2}+48 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} c^{2} d x +48 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b \,c^{3} x +32 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{3} c^{3}\right)}{128 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{2} c^{2} x^{4}}"," ",0,"-1/128*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a^2/c^2*(3*a^4*d^4*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-12*a^3*b*c*d^3*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+18*a^2*b^2*c^2*d^2*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-12*a*b^3*c^3*d*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+3*b^4*c^4*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-6*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*d^3*x^3+22*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b*c*d^2*x^3+22*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^2*c^2*d*x^3-6*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^3*c^3*x^3+4*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*c*d^2*x^2+88*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b*c^2*d*x^2+4*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^2*c^3*x^2+48*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*c^2*d*x+48*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b*c^3*x+32*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*a^3*c^3)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^4/(a*c)^(1/2)","B"
615,1,967,229,0.020000," ","int((b*x+a)^(3/2)*(d*x+c)^(3/2)/x^6,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(15 a^{5} d^{5} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-45 a^{4} b c \,d^{4} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+30 a^{3} b^{2} c^{2} d^{3} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+30 a^{2} b^{3} c^{3} d^{2} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-45 a \,b^{4} c^{4} d \,x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+15 b^{5} c^{5} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-30 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} d^{4} x^{4}+80 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b c \,d^{3} x^{4}-36 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{2} d^{2} x^{4}+80 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{3} d \,x^{4}-30 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{4} c^{4} x^{4}+20 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} c \,d^{3} x^{3}-52 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,c^{2} d^{2} x^{3}-52 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{3} d \,x^{3}+20 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{4} x^{3}-16 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} c^{2} d^{2} x^{2}-544 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,c^{3} d \,x^{2}-16 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{4} x^{2}-352 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} c^{3} d x -352 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,c^{4} x -256 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{4} c^{4}\right)}{1280 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{3} c^{3} x^{5}}"," ",0,"1/1280*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a^3/c^3*(15*a^5*d^5*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-45*a^4*b*c*d^4*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+30*a^3*b^2*c^2*d^3*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+30*a^2*b^3*c^3*d^2*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-45*a*b^4*c^4*d*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+15*b^5*c^5*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-30*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*d^4*x^4+80*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c*d^3*x^4-36*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^2*d^2*x^4+80*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^3*c^3*d*x^4-30*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^4*c^4*x^4+20*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*c*d^3*x^3-52*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c^2*d^2*x^3-52*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^3*d*x^3+20*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^3*c^4*x^3-16*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*c^2*d^2*x^2-544*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c^3*d*x^2-16*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^4*x^2-352*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*c^3*d*x-352*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c^4*x-256*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*a^4*c^4)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^5/(a*c)^(1/2)","B"
616,1,1580,381,0.028000," ","int(x^2*(b*x+a)^(3/2)*(d*x+c)^(5/2),x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-30720 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{6} d^{6} x^{6}-38400 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{5} d^{6} x^{5}-74240 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{6} c \,d^{5} x^{5}-768 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b^{4} d^{6} x^{4}-97280 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{5} c \,d^{5} x^{4}-47360 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{6} c^{2} d^{4} x^{4}+945 a^{7} d^{7} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3675 a^{6} b c \,d^{6} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+4725 a^{5} b^{2} c^{2} d^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-1575 a^{4} b^{3} c^{3} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-525 a^{3} b^{4} c^{4} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+864 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{3} b^{3} d^{6} x^{3}-945 a^{2} b^{5} c^{5} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-2976 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b^{4} c \,d^{5} x^{3}+1575 a \,b^{6} c^{6} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-67040 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{5} c^{2} d^{4} x^{3}-525 b^{7} c^{7} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-480 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{6} c^{3} d^{3} x^{3}-1008 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{4} b^{2} d^{6} x^{2}+3488 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{3} b^{3} c \,d^{5} x^{2}-3648 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b^{4} c^{2} d^{4} x^{2}-1440 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{5} c^{3} d^{3} x^{2}+560 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{6} c^{4} d^{2} x^{2}+1260 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{5} b \,d^{6} x -4396 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{4} b^{2} c \,d^{5} x +4664 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{3} b^{3} c^{2} d^{4} x -600 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b^{4} c^{3} d^{3} x +1820 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{5} c^{4} d^{2} x -700 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{6} c^{5} d x -1890 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{6} d^{6}+6720 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{5} b c \,d^{5}-7378 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{4} b^{2} c^{2} d^{4}+1200 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{3} b^{3} c^{3} d^{3}+1050 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b^{4} c^{4} d^{2}-2800 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{5} c^{5} d +1050 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{6} c^{6}\right)}{215040 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{5} d^{4}}"," ",0,"-1/215040*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(6720*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^5*b*c*d^5-525*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*b^7*c^7+945*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^7*d^7-3675*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^6*b*c*d^6-768*x^4*a^2*b^4*d^6*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)-47360*x^4*b^6*c^2*d^4*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)+864*x^3*a^3*b^3*d^6*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)-480*x^3*b^6*c^3*d^3*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)-1008*x^2*a^4*b^2*d^6*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)+560*x^2*b^6*c^4*d^2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)-2800*a*b^5*c^5*d*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)-1890*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^6*d^6+1050*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^6*c^6-7378*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^4*b^2*c^2*d^4+1200*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^3*b^3*c^3*d^3+1050*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^2*b^4*c^4*d^2+1260*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*x*a^5*b*d^6-700*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*x*b^6*c^5*d-38400*x^5*a*b^5*d^6*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)-74240*x^5*b^6*c*d^5*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)+4725*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^5*b^2*c^2*d^5-1575*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^4*b^3*c^3*d^4-525*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*b^4*c^4*d^3-945*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b^5*c^5*d^2+1575*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b^6*c^6*d-30720*x^6*b^6*d^6*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)+1820*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*x*a*b^5*c^4*d^2-4396*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*x*a^4*b^2*c*d^5+4664*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*x*a^3*b^3*c^2*d^4-600*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*x*a^2*b^4*c^3*d^3-97280*x^4*a*b^5*c*d^5*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)-2976*x^3*a^2*b^4*c*d^5*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)-67040*x^3*a*b^5*c^2*d^4*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)+3488*x^2*a^3*b^3*c*d^5*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)-3648*x^2*a^2*b^4*c^2*d^4*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)-1440*x^2*a*b^5*c^3*d^3*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/b^5/d^4/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/(b*d)^(1/2)","B"
617,1,1240,265,0.020000," ","int(x*(b*x+a)^(3/2)*(d*x+c)^(5/2),x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(2560 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} d^{5} x^{5}+3328 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} d^{5} x^{4}+6400 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c \,d^{4} x^{4}+105 a^{6} d^{6} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-450 a^{5} b c \,d^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+675 a^{4} b^{2} c^{2} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-300 a^{3} b^{3} c^{3} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-225 a^{2} b^{4} c^{4} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+96 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} d^{5} x^{3}+270 a \,b^{5} c^{5} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+8896 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c \,d^{4} x^{3}-75 b^{6} c^{6} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+4320 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{2} d^{3} x^{3}-112 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} d^{5} x^{2}+432 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c \,d^{4} x^{2}+6768 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c^{2} d^{3} x^{2}+80 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{3} d^{2} x^{2}+140 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} b \,d^{5} x -544 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} c \,d^{4} x +696 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c^{2} d^{3} x +320 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c^{3} d^{2} x -100 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{4} d x -210 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{5} d^{5}+830 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} b c \,d^{4}-1092 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} c^{2} d^{3}+300 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c^{3} d^{2}-490 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c^{4} d +150 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{5}\right)}{15360 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{4} d^{3}}"," ",0,"1/15360*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(3328*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^4*d^5*x^4+6400*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*c*d^4*x^4+96*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^3*d^5*x^3+4320*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*c^2*d^3*x^3-112*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b^2*d^5*x^2+80*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*c^3*d^2*x^2+140*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*b*d^5*x-100*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*c^4*d*x+830*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*b*c*d^4-1092*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b^2*c^2*d^3+300*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^3*c^3*d^2-490*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^4*c^4*d-450*a^5*b*c*d^5*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+675*a^4*b^2*c^2*d^4*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-300*a^3*b^3*c^3*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-225*a^2*b^4*c^4*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+270*a*b^5*c^5*d*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+2560*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*d^5*x^5-210*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^5*d^5+150*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*c^5+105*a^6*d^6*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-75*b^6*c^6*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+8896*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^4*c*d^4*x^3+432*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^3*c*d^4*x^2+6768*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^4*c^2*d^3*x^2-544*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b^2*c*d^4*x+696*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^3*c^2*d^3*x+320*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^4*c^3*d^2*x)/b^4/d^3/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/(b*d)^(1/2)","B"
618,1,848,180,0.008000," ","int((b*x+a)^(3/2)*(d*x+c)^(5/2),x)","-\frac{3 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{5} d^{3} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{256 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, b^{3}}+\frac{15 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} c \,d^{2} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{256 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, b^{2}}-\frac{15 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c^{2} d \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{128 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, b}+\frac{15 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c^{3} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{128 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}}-\frac{15 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{4} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{256 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, d}+\frac{3 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{5} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{256 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, d^{2}}+\frac{3 \sqrt{d x +c}\, \sqrt{b x +a}\, a^{4} d^{2}}{128 b^{3}}-\frac{3 \sqrt{d x +c}\, \sqrt{b x +a}\, a^{3} c d}{32 b^{2}}+\frac{9 \sqrt{d x +c}\, \sqrt{b x +a}\, a^{2} c^{2}}{64 b}-\frac{3 \sqrt{d x +c}\, \sqrt{b x +a}\, a \,c^{3}}{32 d}+\frac{3 \sqrt{d x +c}\, \sqrt{b x +a}\, b \,c^{4}}{128 d^{2}}-\frac{\left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, a^{3} d}{64 b^{2}}+\frac{3 \left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, a^{2} c}{64 b}-\frac{3 \left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, a \,c^{2}}{64 d}+\frac{\left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, b \,c^{3}}{64 d^{2}}+\frac{\left(d x +c \right)^{\frac{5}{2}} \sqrt{b x +a}\, a^{2}}{80 b}-\frac{\left(d x +c \right)^{\frac{5}{2}} \sqrt{b x +a}\, a c}{40 d}+\frac{\left(d x +c \right)^{\frac{5}{2}} \sqrt{b x +a}\, b \,c^{2}}{80 d^{2}}+\frac{3 \sqrt{b x +a}\, \left(d x +c \right)^{\frac{7}{2}} a}{40 d}-\frac{3 \sqrt{b x +a}\, \left(d x +c \right)^{\frac{7}{2}} b c}{40 d^{2}}+\frac{\left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{7}{2}}}{5 d}"," ",0,"1/5/d*(b*x+a)^(3/2)*(d*x+c)^(7/2)+3/64/b*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a^2*c-3/32*d/b^2*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^3*c+9/64/b*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^2*c^2+3/40/d*(b*x+a)^(1/2)*(d*x+c)^(7/2)*a+15/256*d^2/b^2*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*a^4*c-15/128*d/b*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*a^3*c^2+15/128*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*a^2*c^3+3/128/d^2*(d*x+c)^(1/2)*(b*x+a)^(1/2)*c^4*b+3/128*d^2/b^3*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^4-3/32/d*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a*c^3-3/64/d*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a*c^2+1/64/d^2*(d*x+c)^(3/2)*(b*x+a)^(1/2)*c^3*b-1/64*d/b^2*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a^3+1/80/d^2*(d*x+c)^(5/2)*(b*x+a)^(1/2)*c^2*b-1/40/d*(d*x+c)^(5/2)*(b*x+a)^(1/2)*a*c-3/40/d^2*(b*x+a)^(1/2)*(d*x+c)^(7/2)*b*c+1/80/b*(d*x+c)^(5/2)*(b*x+a)^(1/2)*a^2-15/256/d*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*a*c^4*b+3/256/d^2*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*c^5*b^2-3/256*d^3/b^3*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*a^5","B"
619,1,828,254,0.020000," ","int((b*x+a)^(3/2)*(d*x+c)^(5/2)/x,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(9 \sqrt{a c}\, a^{4} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-60 \sqrt{a c}\, a^{3} b c \,d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-384 \sqrt{b d}\, a^{2} b^{2} c^{3} d \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+270 \sqrt{a c}\, a^{2} b^{2} c^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+180 \sqrt{a c}\, a \,b^{3} c^{3} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 \sqrt{a c}\, b^{4} c^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+96 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{3} d^{3} x^{3}+144 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a \,b^{2} d^{3} x^{2}+272 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{3} c \,d^{2} x^{2}+12 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b \,d^{3} x +488 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{2} c \,d^{2} x +236 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{3} c^{2} d x -18 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} d^{3}+114 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b c \,d^{2}+674 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{2} c^{2} d +30 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{3} c^{3}\right)}{384 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} d}"," ",0,"1/384*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(96*x^3*b^3*d^3*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)+144*x^2*a*b^2*d^3*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)+272*x^2*b^3*c*d^2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)+9*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*a^4*d^4-60*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*a^3*b*c*d^3+270*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*a^2*b^2*c^2*d^2+180*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*a*b^3*c^3*d-15*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*b^4*c^4-384*(b*d)^(1/2)*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*a^2*b^2*c^3*d+12*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*a^2*b*d^3+488*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*a*b^2*c*d^2+236*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*x*b^3*c^2*d-18*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*d^3+114*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b*c*d^2+674*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^2*c^2*d+30*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^3*c^3)/b^2/d/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/(b*d)^(1/2)/(a*c)^(1/2)","B"
620,1,696,209,0.019000," ","int((b*x+a)^(3/2)*(d*x+c)^(5/2)/x^2,x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(3 \sqrt{a c}\, a^{3} d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+120 \sqrt{b d}\, a^{2} b \,c^{2} d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-45 \sqrt{a c}\, a^{2} b c \,d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+72 \sqrt{b d}\, a \,b^{2} c^{3} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-135 \sqrt{a c}\, a \,b^{2} c^{2} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 \sqrt{a c}\, b^{3} c^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-16 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} d^{2} x^{3}-28 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a b \,d^{2} x^{2}-52 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} c d \,x^{2}-6 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} d^{2} x -136 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a b c d x -66 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} c^{2} x +48 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a b \,c^{2}\right)}{48 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b x}"," ",0,"-1/48*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(-16*x^3*b^2*d^2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)+3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*x*a^3*d^3-45*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*x*a^2*b*c*d^2-135*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*x*a*b^2*c^2*d-15*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*x*b^3*c^3+120*(b*d)^(1/2)*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x*a^2*b*c^2*d+72*(b*d)^(1/2)*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x*a*b^2*c^3-28*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^2*a*b*d^2-52*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^2*b^2*c*d-6*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x*a^2*d^2-136*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x*a*b*c*d-66*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x*b^2*c^2+48*a*b*c^2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2))/b/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/(b*d)^(1/2)/x/(a*c)^(1/2)","B"
621,1,650,208,0.020000," ","int((b*x+a)^(3/2)*(d*x+c)^(5/2)/x^3,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-15 \sqrt{b d}\, a^{2} c \,d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+3 \sqrt{a c}\, a^{2} d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-30 \sqrt{b d}\, a b \,c^{2} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+30 \sqrt{a c}\, a b c \,d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 \sqrt{b d}\, b^{2} c^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+15 \sqrt{a c}\, b^{2} c^{2} d \,x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+4 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b \,d^{2} x^{3}+10 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a \,d^{2} x^{2}+18 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b c d \,x^{2}-18 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a c d x -10 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b \,c^{2} x -4 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a \,c^{2}\right)}{8 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, x^{2}}"," ",0,"1/8*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(3*(a*c)^(1/2)*a^2*d^3*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+30*(a*c)^(1/2)*a*b*c*d^2*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+15*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*b^2*c^2*d*(a*c)^(1/2)-15*(b*d)^(1/2)*a^2*c*d^2*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-30*(b*d)^(1/2)*a*b*c^2*d*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-3*(b*d)^(1/2)*b^2*c^3*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+4*x^3*b*d^2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)+10*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*d^2*x^2+18*x^2*b*c*d*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)-18*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*c*d*x-10*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*b*c^2*x-4*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*c^2)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^2/(b*d)^(1/2)/(a*c)^(1/2)","B"
622,1,706,242,0.020000," ","int((b*x+a)^(3/2)*(d*x+c)^(5/2)/x^4,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-15 \sqrt{b d}\, a^{3} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-135 \sqrt{b d}\, a^{2} b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+72 \sqrt{a c}\, a^{2} b \,d^{3} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-45 \sqrt{b d}\, a \,b^{2} c^{2} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+120 \sqrt{a c}\, a \,b^{2} c \,d^{2} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 \sqrt{b d}\, b^{3} c^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+48 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a b \,d^{2} x^{3}-66 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} d^{2} x^{2}-136 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a b c d \,x^{2}-6 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} c^{2} x^{2}-52 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} c d x -28 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a b \,c^{2} x -16 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} c^{2}\right)}{48 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a \,x^{3}}"," ",0,"1/48*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a*(72*(a*c)^(1/2)*a^2*b*d^3*x^3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+120*(a*c)^(1/2)*a*b^2*c*d^2*x^3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-15*(b*d)^(1/2)*a^3*d^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-135*(b*d)^(1/2)*a^2*b*c*d^2*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-45*(b*d)^(1/2)*a*b^2*c^2*d*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+3*(b*d)^(1/2)*b^3*c^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+48*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^3*a*b*d^2-66*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*d^2*x^2-136*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*b*c*d*x^2-6*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*b^2*c^2*x^2-52*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*c*d*x-28*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*b*c^2*x-16*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*c^2)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^3/(b*d)^(1/2)/(a*c)^(1/2)","B"
623,1,852,266,0.021000," ","int((b*x+a)^(3/2)*(d*x+c)^(5/2)/x^5,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(15 \sqrt{b d}\, a^{4} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-180 \sqrt{b d}\, a^{3} b c \,d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-270 \sqrt{b d}\, a^{2} b^{2} c^{2} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+384 \sqrt{a c}\, a^{2} b^{2} c \,d^{3} x^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+60 \sqrt{b d}\, a \,b^{3} c^{3} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-9 \sqrt{b d}\, b^{4} c^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-30 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{3} d^{3} x^{3}-674 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} b c \,d^{2} x^{3}-114 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a \,b^{2} c^{2} d \,x^{3}+18 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{3} c^{3} x^{3}-236 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{3} c \,d^{2} x^{2}-488 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} b \,c^{2} d \,x^{2}-12 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a \,b^{2} c^{3} x^{2}-272 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{3} c^{2} d x -144 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} b \,c^{3} x -96 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{3} c^{3}\right)}{384 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} c \,x^{4}}"," ",0,"1/384*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a^2/c*(15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^4*a^4*d^4*(b*d)^(1/2)-180*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^4*a^3*b*c*d^3*(b*d)^(1/2)-270*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^4*a^2*b^2*c^2*d^2*(b*d)^(1/2)+60*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^4*a*b^3*c^3*d*(b*d)^(1/2)-9*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^4*b^4*c^4*(b*d)^(1/2)+384*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^4*a^2*b^2*c*d^3*(a*c)^(1/2)-30*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^3*a^3*d^3-674*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^3*a^2*b*c*d^2-114*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^3*a*b^2*c^2*d+18*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^3*b^3*c^3-236*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^2*a^3*c*d^2-488*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^2*a^2*b*c^2*d-12*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^2*a*b^2*c^3-272*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x*a^3*c^2*d-144*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x*a^2*b*c^3-96*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^3*c^3)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^4/(b*d)^(1/2)/(a*c)^(1/2)","B"
624,1,967,198,0.022000," ","int((b*x+a)^(3/2)*(d*x+c)^(5/2)/x^6,x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(15 a^{5} d^{5} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-75 a^{4} b c \,d^{4} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+150 a^{3} b^{2} c^{2} d^{3} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-150 a^{2} b^{3} c^{3} d^{2} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+75 a \,b^{4} c^{4} d \,x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-15 b^{5} c^{5} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-30 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} d^{4} x^{4}+140 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b c \,d^{3} x^{4}+256 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{2} d^{2} x^{4}-140 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{3} d \,x^{4}+30 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{4} c^{4} x^{4}+20 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} c \,d^{3} x^{3}+932 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,c^{2} d^{2} x^{3}+92 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{3} d \,x^{3}-20 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{4} x^{3}+496 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} c^{2} d^{2} x^{2}+1024 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,c^{3} d \,x^{2}+16 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{4} x^{2}+672 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} c^{3} d x +352 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,c^{4} x +256 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{4} c^{4}\right)}{1280 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{3} c^{2} x^{5}}"," ",0,"-1/1280*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a^3/c^2*(15*a^5*d^5*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-75*a^4*b*c*d^4*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+150*a^3*b^2*c^2*d^3*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-150*a^2*b^3*c^3*d^2*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+75*a*b^4*c^4*d*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-15*b^5*c^5*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-30*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*d^4*x^4+140*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c*d^3*x^4+256*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^2*d^2*x^4-140*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^3*c^3*d*x^4+30*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^4*c^4*x^4+20*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*c*d^3*x^3+932*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c^2*d^2*x^3+92*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^3*d*x^3-20*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^3*c^4*x^3+496*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*c^2*d^2*x^2+1024*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c^3*d*x^2+16*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^4*x^2+672*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*c^3*d*x+352*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c^4*x+256*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*a^4*c^4)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^5/(a*c)^(1/2)","B"
625,1,1271,283,0.023000," ","int((b*x+a)^(3/2)*(d*x+c)^(5/2)/x^7,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(75 a^{6} d^{6} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-270 a^{5} b c \,d^{5} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+225 a^{4} b^{2} c^{2} d^{4} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+300 a^{3} b^{3} c^{3} d^{3} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-675 a^{2} b^{4} c^{4} d^{2} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+450 a \,b^{5} c^{5} d \,x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-105 b^{6} c^{6} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-150 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{5} d^{5} x^{5}+490 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} b c \,d^{4} x^{5}-300 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} c^{2} d^{3} x^{5}+1092 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c^{3} d^{2} x^{5}-830 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c^{4} d \,x^{5}+210 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{5} x^{5}+100 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{5} c \,d^{4} x^{4}-320 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} b \,c^{2} d^{3} x^{4}-696 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} c^{3} d^{2} x^{4}+544 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c^{4} d \,x^{4}-140 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c^{5} x^{4}-80 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{5} c^{2} d^{3} x^{3}-6768 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} b \,c^{3} d^{2} x^{3}-432 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} c^{4} d \,x^{3}+112 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c^{5} x^{3}-4320 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{5} c^{3} d^{2} x^{2}-8896 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} b \,c^{4} d \,x^{2}-96 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} c^{5} x^{2}-6400 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{5} c^{4} d x -3328 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} b \,c^{5} x -2560 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{5} c^{5}\right)}{15360 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{4} c^{3} x^{6}}"," ",0,"1/15360*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a^4/c^3*(-675*a^2*b^4*c^4*d^2*x^6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-150*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^5*d^5*x^5+75*a^6*d^6*x^6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-105*b^6*c^6*x^6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-2560*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*a^5*c^5+210*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*c^5*x^5+450*a*b^5*c^5*d*x^6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+100*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^5*c*d^4*x^4-140*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^4*c^5*x^4-80*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^5*c^2*d^3*x^3+112*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^3*c^5*x^3-4320*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^5*c^3*d^2*x^2-96*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b^2*c^5*x^2-6400*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^5*c^4*d*x-3328*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*b*c^5*x-270*a^5*b*c*d^5*x^6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+225*a^4*b^2*c^2*d^4*x^6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+300*a^3*b^3*c^3*d^3*x^6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+490*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*b*c*d^4*x^5-300*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b^2*c^2*d^3*x^5+1092*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^3*c^3*d^2*x^5-830*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^4*c^4*d*x^5-8896*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*b*c^4*d*x^2-320*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*b*c^2*d^3*x^4-696*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b^2*c^3*d^2*x^4+544*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^3*c^4*d*x^4-6768*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*b*c^3*d^2*x^3-432*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b^2*c^4*d*x^3)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^6/(a*c)^(1/2)","B"
626,1,574,216,0.026000," ","int(x^2*(b*x+a)^(3/2)/(d*x+c)^(1/2),x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(9 a^{4} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+12 a^{3} b c \,d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+54 a^{2} b^{2} c^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-180 a \,b^{3} c^{3} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+105 b^{4} c^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+96 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} d^{3} x^{3}+144 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} d^{3} x^{2}-112 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} c \,d^{2} x^{2}+12 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b \,d^{3} x -184 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} c \,d^{2} x +140 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} c^{2} d x -18 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} d^{3}-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b c \,d^{2}+290 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} c^{2} d -210 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{3}\right)}{384 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} d^{4}}"," ",0,"1/384*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(96*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^3*d^3*x^3+144*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b^2*d^3*x^2-112*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^3*c*d^2*x^2+9*a^4*d^4*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+12*a^3*b*c*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+54*a^2*b^2*c^2*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-180*a*b^3*c^3*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+105*b^4*c^4*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+12*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*b*d^3*x-184*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b^2*c*d^2*x+140*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^3*c^2*d*x-18*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^3*d^3-30*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*b*c*d^2+290*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b^2*c^2*d-210*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^3*c^3)/b^2/d^4/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)","B"
627,1,395,139,0.023000," ","int(x*(b*x+a)^(3/2)/(d*x+c)^(1/2),x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(3 a^{3} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+9 a^{2} b c \,d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-27 a \,b^{2} c^{2} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 b^{3} c^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-16 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} d^{2} x^{2}-28 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,d^{2} x +20 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c d x -6 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} d^{2}+44 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b c d -30 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{2}\right)}{48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b \,d^{3}}"," ",0,"-1/48*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(-16*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*d^2*x^2+3*a^3*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+9*a^2*b*c*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-27*a*b^2*c^2*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+15*b^3*c^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-28*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b*d^2*x+20*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*c*d*x-6*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*d^2+44*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b*c*d-30*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*c^2)/b/d^3/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)","B"
628,1,308,87,0.000000," ","int((b*x+a)^(3/2)/(d*x+c)^(1/2),x)","\frac{3 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{8 \sqrt{b x +a}\, \sqrt{d x +c}\, \sqrt{b d}}-\frac{3 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b c \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{4 \sqrt{b x +a}\, \sqrt{d x +c}\, \sqrt{b d}\, d}+\frac{3 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{2} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{8 \sqrt{b x +a}\, \sqrt{d x +c}\, \sqrt{b d}\, d^{2}}+\frac{3 \sqrt{b x +a}\, \sqrt{d x +c}\, a}{4 d}-\frac{3 \sqrt{b x +a}\, \sqrt{d x +c}\, b c}{4 d^{2}}+\frac{\left(b x +a \right)^{\frac{3}{2}} \sqrt{d x +c}}{2 d}"," ",0,"3/8*((b*x+a)*(d*x+c))^(1/2)/(b*x+a)^(1/2)/(d*x+c)^(1/2)/(b*d)^(1/2)*a^2*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))-3/4*((b*x+a)*(d*x+c))^(1/2)/(b*x+a)^(1/2)/(d*x+c)^(1/2)/(b*d)^(1/2)*a*b*c/d*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))+3/8*((b*x+a)*(d*x+c))^(1/2)/(b*x+a)^(1/2)/(d*x+c)^(1/2)/(b*d)^(1/2)*b^2*c^2/d^2*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))+3/4*(b*x+a)^(1/2)*(d*x+c)^(1/2)*a/d-3/4*(b*x+a)^(1/2)*(d*x+c)^(1/2)*b*c/d^2+1/2*(b*x+a)^(3/2)*(d*x+c)^(1/2)/d","B"
629,1,220,88,0.020000," ","int((b*x+a)^(3/2)/x/(d*x+c)^(1/2),x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-2 \sqrt{b d}\, a^{2} d \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 \sqrt{a c}\, a b d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-\sqrt{a c}\, b^{2} c \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, b \right)}{2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, d}"," ",0,"1/2*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b*d*(a*c)^(1/2)-ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*b^2*c*(a*c)^(1/2)-2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a^2*d*(b*d)^(1/2)+2*b*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*(a*c)^(1/2))/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(a*c)^(1/2)/d","B"
630,1,223,93,0.023000," ","int((b*x+a)^(3/2)/x^2/(d*x+c)^(1/2),x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(\sqrt{b d}\, a^{2} d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3 \sqrt{b d}\, a b c x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+2 \sqrt{a c}\, b^{2} c x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \right)}{2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, c x}"," ",0,"1/2*(b*x+a)^(1/2)*(d*x+c)^(1/2)/c*(2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b^2*c*(a*c)^(1/2)+ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^2*d*(b*d)^(1/2)-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a*b*c*(b*d)^(1/2)-2*a*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/((b*x+a)*(d*x+c))^(1/2)/x/(b*d)^(1/2)/(a*c)^(1/2)","B"
631,1,255,93,0.023000," ","int((b*x+a)^(3/2)/x^3/(d*x+c)^(1/2),x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(3 a^{2} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 a b c d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 b^{2} c^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a d x +10 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b c x +4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a c \right)}{8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, c^{2} x^{2}}"," ",0,"-1/8*(b*x+a)^(1/2)*(d*x+c)^(1/2)/c^2*(3*a^2*d^2*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-6*a*b*c*d*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+3*b^2*c^2*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*d*x+10*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*b*c*x+4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*c)/((b*x+a)*(d*x+c))^(1/2)/x^2/(a*c)^(1/2)","B"
632,1,408,148,0.025000," ","int((b*x+a)^(3/2)/x^4/(d*x+c)^(1/2),x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(15 a^{3} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-27 a^{2} b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+9 a \,b^{2} c^{2} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 b^{3} c^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} d^{2} x^{2}+44 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a b c d \,x^{2}-6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{2} c^{2} x^{2}+20 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} c d x -28 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a b \,c^{2} x -16 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} c^{2}\right)}{48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,c^{3} x^{3}}"," ",0,"1/48*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a/c^3*(15*a^3*d^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-27*a^2*b*c*d^2*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+9*a*b^2*c^2*d*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+3*b^3*c^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-30*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*d^2*x^2+44*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b*c*d*x^2-6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*b^2*c^2*x^2+20*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*c*d*x-28*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b*c^2*x-16*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*c^2)/((b*x+a)*(d*x+c))^(1/2)/x^3/(a*c)^(1/2)","B"
633,1,593,228,0.027000," ","int((b*x+a)^(3/2)/x^5/(d*x+c)^(1/2),x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(105 a^{4} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-180 a^{3} b c \,d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+54 a^{2} b^{2} c^{2} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+12 a \,b^{3} c^{3} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+9 b^{4} c^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-210 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} d^{3} x^{3}+290 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b c \,d^{2} x^{3}-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{2} c^{2} d \,x^{3}-18 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{3} c^{3} x^{3}+140 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} c \,d^{2} x^{2}-184 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b \,c^{2} d \,x^{2}+12 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{2} c^{3} x^{2}-112 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} c^{2} d x +144 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b \,c^{3} x +96 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} c^{3}\right)}{384 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} c^{4} x^{4}}"," ",0,"-1/384*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a^2/c^4*(105*a^4*d^4*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-180*a^3*b*c*d^3*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+54*a^2*b^2*c^2*d^2*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+12*a*b^3*c^3*d*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+9*b^4*c^4*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-210*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^3*d^3*x^3+290*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*b*c*d^2*x^3-30*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b^2*c^2*d*x^3-18*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*b^3*c^3*x^3+140*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^3*c*d^2*x^2-184*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*b*c^2*d*x^2+12*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b^2*c^3*x^2-112*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^3*c^2*d*x+144*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*b*c^3*x+96*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^3*c^3)/((b*x+a)*(d*x+c))^(1/2)/x^4/(a*c)^(1/2)","B"
634,1,692,212,0.029000," ","int(x^2*(b*x+a)^(3/2)/(d*x+c)^(3/2),x)","-\frac{\sqrt{b x +a}\, \left(3 a^{3} d^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+27 a^{2} b c \,d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-135 a \,b^{2} c^{2} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+105 b^{3} c^{3} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a^{3} c \,d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+27 a^{2} b \,c^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-135 a \,b^{2} c^{3} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+105 b^{3} c^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-16 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} d^{3} x^{3}-28 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a b \,d^{3} x^{2}+28 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} c \,d^{2} x^{2}-6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} d^{3} x +76 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a b c \,d^{2} x -70 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} c^{2} d x -6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} c \,d^{2}+200 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a b \,c^{2} d -210 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} c^{3}\right)}{48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{d x +c}\, b \,d^{4}}"," ",0,"-1/48*(b*x+a)^(1/2)*(-16*x^3*b^2*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^3*d^4+27*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*b*c*d^3-135*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b^2*c^2*d^2+105*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b^3*c^3*d-28*x^2*a*b*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+28*x^2*b^2*c*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*c*d^3+27*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b*c^2*d^2-135*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b^2*c^3*d+105*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*b^3*c^4-6*x*a^2*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+76*x*a*b*c*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-70*x*b^2*c^2*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-6*a^2*c*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+200*a*b*c^2*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-210*b^2*c^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(d*x+c)^(1/2)/b/d^4","B"
635,1,455,144,0.023000," ","int(x*(b*x+a)^(3/2)/(d*x+c)^(3/2),x)","\frac{\sqrt{b x +a}\, \left(3 a^{2} d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-18 a b c \,d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 b^{2} c^{2} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a^{2} c \,d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-18 a b \,c^{2} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 b^{2} c^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b \,d^{2} x^{2}+10 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,d^{2} x -10 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b c d x +26 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a c d -30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b \,c^{2}\right)}{8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{d x +c}\, d^{3}}"," ",0,"1/8*(b*x+a)^(1/2)*(3*a^2*d^3*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-18*a*b*c*d^2*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+15*b^2*c^2*d*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b*d^2*x^2+3*a^2*c*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-18*a*b*c^2*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+15*b^2*c^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+10*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*d^2*x-10*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b*c*d*x+26*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*c*d-30*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b*c^2)/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(d*x+c)^(1/2)/d^3","B"
636,0,0,78,0.000000," ","int((b*x+a)^(3/2)/(d*x+c)^(3/2),x)","\int \frac{\left(b x +a \right)^{\frac{3}{2}}}{\left(d x +c \right)^{\frac{3}{2}}}\, dx"," ",0,"int((b*x+a)^(3/2)/(d*x+c)^(3/2),x)","F"
637,1,306,91,0.022000," ","int((b*x+a)^(3/2)/x/(d*x+c)^(3/2),x)","\frac{\left(-\sqrt{b d}\, a^{2} d^{2} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+\sqrt{a c}\, b^{2} c d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-\sqrt{b d}\, a^{2} c d \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+\sqrt{a c}\, b^{2} c^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2 \sqrt{b d}\, \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a d -2 \sqrt{b d}\, \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b c \right) \sqrt{b x +a}}{\sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, \sqrt{d x +c}\, c d}"," ",0,"(-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^2*d^2*(b*d)^(1/2)+ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b^2*c*d*(a*c)^(1/2)-(b*d)^(1/2)*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a^2*c*d+(a*c)^(1/2)*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*b^2*c^2+2*(b*d)^(1/2)*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*d-2*(b*d)^(1/2)*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b*c)*(b*x+a)^(1/2)/c/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(a*c)^(1/2)/(d*x+c)^(1/2)/d","B"
638,1,298,88,0.025000," ","int((b*x+a)^(3/2)/x^2/(d*x+c)^(3/2),x)","\frac{\sqrt{b x +a}\, \left(3 a^{2} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3 a b c d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 a^{2} c d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3 a b \,c^{2} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a d x +4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b c x -2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a c \right)}{2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, \sqrt{d x +c}\, c^{2} x}"," ",0,"1/2*(b*x+a)^(1/2)*(3*a^2*d^2*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-3*a*b*c*d*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^2*c*d-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a*b*c^2-6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*d*x+4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*b*c*x-2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*c)/c^2/((b*x+a)*(d*x+c))^(1/2)/x/(a*c)^(1/2)/(d*x+c)^(1/2)","B"
639,1,464,143,0.029000," ","int((b*x+a)^(3/2)/x^3/(d*x+c)^(3/2),x)","-\frac{\sqrt{b x +a}\, \left(15 a^{2} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-18 a b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 b^{2} c^{2} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a^{2} c \,d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-18 a b \,c^{2} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 b^{2} c^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,d^{2} x^{2}+26 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b c d \,x^{2}-10 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a c d x +10 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b \,c^{2} x +4 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,c^{2}\right)}{8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, \sqrt{d x +c}\, c^{3} x^{2}}"," ",0,"-1/8*(b*x+a)^(1/2)*(15*a^2*d^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-18*a*b*c*d^2*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+3*b^2*c^2*d*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+15*a^2*c*d^2*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-18*a*b*c^2*d*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+3*b^2*c^3*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-30*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*d^2*x^2+26*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b*c*d*x^2-10*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*c*d*x+10*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b*c^2*x+4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*c^2)/c^3/((b*x+a)*(d*x+c))^(1/2)/x^2/(a*c)^(1/2)/(d*x+c)^(1/2)","B"
640,1,707,202,0.032000," ","int((b*x+a)^(3/2)/x^4/(d*x+c)^(3/2),x)","\frac{\sqrt{b x +a}\, \left(105 a^{3} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-135 a^{2} b c \,d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+27 a \,b^{2} c^{2} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 b^{3} c^{3} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+105 a^{3} c \,d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-135 a^{2} b \,c^{2} d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+27 a \,b^{2} c^{3} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 b^{3} c^{4} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-210 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} d^{3} x^{3}+200 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b c \,d^{2} x^{3}-6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{2} d \,x^{3}-70 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c \,d^{2} x^{2}+76 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{2} d \,x^{2}-6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{3} x^{2}+28 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c^{2} d x -28 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{3} x -16 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c^{3}\right)}{48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, \sqrt{d x +c}\, a \,c^{4} x^{3}}"," ",0,"1/48*(b*x+a)^(1/2)*(105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^3*d^4-135*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^2*b*c*d^3+27*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a*b^2*c^2*d^2+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*b^3*c^3*d+105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^3*c*d^3-135*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^2*b*c^2*d^2+27*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a*b^2*c^3*d+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*b^3*c^4-210*x^3*a^2*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+200*x^3*a*b*c*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-6*x^3*b^2*c^2*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-70*x^2*a^2*c*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+76*x^2*a*b*c^2*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-6*x^2*b^2*c^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+28*x*a^2*c^2*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-28*x*a*b*c^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-16*a^2*c^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/c^4/a/((b*x+a)*(d*x+c))^(1/2)/x^3/(a*c)^(1/2)/(d*x+c)^(1/2)","B"
641,1,676,229,0.029000," ","int(x^2*(b*x+a)^(3/2)/(d*x+c)^(5/2),x)","\frac{\sqrt{b x +a}\, \left(9 a^{2} d^{4} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-90 a b c \,d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+105 b^{2} c^{2} d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+18 a^{2} c \,d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-180 a b \,c^{2} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+210 b^{2} c^{3} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+9 a^{2} c^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-90 a b \,c^{3} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+105 b^{2} c^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+12 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b \,d^{3} x^{3}+30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,d^{3} x^{2}-42 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b c \,d^{2} x^{2}+156 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a c \,d^{2} x -280 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b \,c^{2} d x +110 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,c^{2} d -210 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b \,c^{3}\right)}{24 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(d x +c \right)^{\frac{3}{2}} d^{4}}"," ",0,"1/24*(b*x+a)^(1/2)*(9*a^2*d^4*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-90*a*b*c*d^3*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+105*b^2*c^2*d^2*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+12*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^3*b*d^3+18*a^2*c*d^3*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-180*a*b*c^2*d^2*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+210*b^2*c^3*d*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+30*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*d^3*x^2-42*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b*c*d^2*x^2+9*a^2*c^2*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-90*a*b*c^3*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+105*b^2*c^4*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+156*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*c*d^2*x-280*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b*c^2*d*x+110*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*c^2*d-210*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b*c^3)/(b*d)^(1/2)/((b*x+a)*(d*x+c))^(1/2)/d^4/(d*x+c)^(3/2)","B"
642,1,459,146,0.024000," ","int(x*(b*x+a)^(3/2)/(d*x+c)^(5/2),x)","\frac{\sqrt{b x +a}\, \left(9 a b \,d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 b^{2} c \,d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+18 a b c \,d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-30 b^{2} c^{2} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+9 a b \,c^{2} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 b^{2} c^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b \,d^{2} x^{2}-12 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,d^{2} x +40 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b c d x -8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a c d +30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b \,c^{2}\right)}{6 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(d x +c \right)^{\frac{3}{2}} d^{3}}"," ",0,"1/6*(b*x+a)^(1/2)*(9*a*b*d^3*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-15*b^2*c*d^2*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+18*a*b*c*d^2*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-30*b^2*c^2*d*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b*d^2*x^2+9*a*b*c^2*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-15*b^2*c^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-12*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*d^2*x+40*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b*c*d*x-8*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*c*d+30*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b*c^2)/(b*d)^(1/2)/((b*x+a)*(d*x+c))^(1/2)/d^3/(d*x+c)^(3/2)","B"
643,0,0,70,0.000000," ","int((b*x+a)^(3/2)/(d*x+c)^(5/2),x)","\int \frac{\left(b x +a \right)^{\frac{3}{2}}}{\left(d x +c \right)^{\frac{5}{2}}}\, dx"," ",0,"int((b*x+a)^(3/2)/(d*x+c)^(5/2),x)","F"
644,1,248,70,0.026000," ","int((b*x+a)^(3/2)/x/(d*x+c)^(5/2),x)","-\frac{\sqrt{b x +a}\, \left(3 a^{2} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+6 a^{2} c d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 a^{2} c^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a d x -2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b c x -8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a c \right)}{3 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(d x +c \right)^{\frac{3}{2}} c^{2}}"," ",0,"-1/3*(b*x+a)^(1/2)/c^2*(3*a^2*d^2*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+6*a^2*c*d*x*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a^2*c^2-6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*d*x-2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*b*c*x-8*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*c)/(a*c)^(1/2)/((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(3/2)","B"
645,1,459,123,0.030000," ","int((b*x+a)^(3/2)/x^2/(d*x+c)^(5/2),x)","\frac{\sqrt{b x +a}\, \left(15 a^{2} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-9 a b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+30 a^{2} c \,d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-18 a b \,c^{2} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a^{2} c^{2} d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-9 a b \,c^{3} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,d^{2} x^{2}+8 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b c d \,x^{2}-40 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a c d x +12 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b \,c^{2} x -6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,c^{2}\right)}{6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(d x +c \right)^{\frac{3}{2}} c^{3} x}"," ",0,"1/6*(b*x+a)^(1/2)/c^3*(15*a^2*d^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-9*a*b*c*d^2*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+30*a^2*c*d^2*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-18*a*b*c^2*d*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^2*c^2*d-9*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a*b*c^3-30*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*d^2*x^2+8*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b*c*d*x^2-40*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*c*d*x+12*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b*c^2*x-6*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*c^2)/(a*c)^(1/2)/x/((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(3/2)","B"
646,1,679,166,0.036000," ","int((b*x+a)^(3/2)/x^3/(d*x+c)^(5/2),x)","-\frac{\sqrt{b x +a}\, \left(105 a^{2} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-90 a b c \,d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+9 b^{2} c^{2} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+210 a^{2} c \,d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-180 a b \,c^{2} d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+18 b^{2} c^{3} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+105 a^{2} c^{2} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-90 a b \,c^{3} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+9 b^{2} c^{4} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-210 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,d^{3} x^{3}+110 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b c \,d^{2} x^{3}-280 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a c \,d^{2} x^{2}+156 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b \,c^{2} d \,x^{2}-42 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,c^{2} d x +30 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b \,c^{3} x +12 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,c^{3}\right)}{24 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(d x +c \right)^{\frac{3}{2}} c^{4} x^{2}}"," ",0,"-1/24*(b*x+a)^(1/2)/c^4*(105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^2*d^4-90*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a*b*c*d^3+9*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*b^2*c^2*d^2+210*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^2*c*d^3-180*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a*b*c^2*d^2+18*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*b^2*c^3*d+105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*c^2*d^2-90*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a*b*c^3*d+9*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*b^2*c^4-210*x^3*a*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+110*x^3*b*c*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-280*x^2*a*c*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+156*x^2*b*c^2*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-42*x*a*c^2*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+30*x*b*c^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+12*a*c^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/(a*c)^(1/2)/x^2/((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(3/2)","B"
647,1,1240,326,0.019000," ","int(x^2*(b*x+a)^(5/2)*(d*x+c)^(1/2),x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-2560 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} d^{5} x^{5}-6400 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} d^{5} x^{4}-256 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c \,d^{4} x^{4}+75 a^{6} d^{6} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-90 a^{5} b c \,d^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-75 a^{4} b^{2} c^{2} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-300 a^{3} b^{3} c^{3} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+1125 a^{2} b^{4} c^{4} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-4320 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} d^{5} x^{3}-1050 a \,b^{5} c^{5} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-832 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c \,d^{4} x^{3}+315 b^{6} c^{6} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+288 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{2} d^{3} x^{3}-80 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} d^{5} x^{2}-816 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c \,d^{4} x^{2}+976 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c^{2} d^{3} x^{2}-336 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{3} d^{2} x^{2}+100 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} b \,d^{5} x -80 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} c \,d^{4} x +1048 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c^{2} d^{3} x -1232 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c^{3} d^{2} x +420 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{4} d x -150 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{5} d^{5}+130 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} b c \,d^{4}+180 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} c^{2} d^{3}-1676 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c^{3} d^{2}+1890 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c^{4} d -630 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{5}\right)}{15360 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{3} d^{5}}"," ",0,"-1/15360*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(-6400*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^4*d^5*x^4-256*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*c*d^4*x^4-4320*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^3*d^5*x^3+288*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*c^2*d^3*x^3-80*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b^2*d^5*x^2-336*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*c^3*d^2*x^2+100*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*b*d^5*x+420*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*c^4*d*x+130*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*b*c*d^4+180*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b^2*c^2*d^3-1676*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^3*c^3*d^2+1890*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^4*c^4*d-90*a^5*b*c*d^5*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-75*a^4*b^2*c^2*d^4*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-300*a^3*b^3*c^3*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+1125*a^2*b^4*c^4*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-1050*a*b^5*c^5*d*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-2560*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*d^5*x^5-150*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^5*d^5-630*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*c^5+75*a^6*d^6*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+315*b^6*c^6*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-832*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^4*c*d^4*x^3-816*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^3*c*d^4*x^2+976*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^4*c^2*d^3*x^2-80*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b^2*c*d^4*x+1048*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^3*c^2*d^3*x-1232*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^4*c^3*d^2*x)/b^3/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/d^5/(b*d)^(1/2)","B"
648,1,942,224,0.018000," ","int(x*(b*x+a)^(5/2)*(d*x+c)^(1/2),x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(768 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{4} d^{4} x^{4}+45 a^{5} d^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-75 a^{4} b c \,d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-150 a^{3} b^{2} c^{2} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+450 a^{2} b^{3} c^{3} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-375 a \,b^{4} c^{4} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2016 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{3} d^{4} x^{3}+105 b^{5} c^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+96 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{4} c \,d^{3} x^{3}+1488 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b^{2} d^{4} x^{2}+352 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{3} c \,d^{3} x^{2}-112 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{4} c^{2} d^{2} x^{2}+60 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,d^{4} x +436 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c \,d^{3} x -444 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{2} d^{2} x +140 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{4} c^{3} d x -90 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} d^{4}+120 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b c \,d^{3}-692 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{2} d^{2}+680 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{3} d -210 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{4} c^{4}\right)}{3840 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{2} d^{4}}"," ",0,"1/3840*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(768*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^4*d^4*x^4+2016*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^3*d^4*x^3+96*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^4*c*d^3*x^3+1488*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^2*b^2*d^4*x^2+352*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^3*c*d^3*x^2-112*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^4*c^2*d^2*x^2+45*a^5*d^5*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-75*a^4*b*c*d^4*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-150*a^3*b^2*c^2*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+450*a^2*b^3*c^3*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-375*a*b^4*c^4*d*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+105*b^5*c^5*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+60*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*d^4*x+436*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c*d^3*x-444*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^3*c^2*d^2*x+140*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^4*c^3*d*x-90*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*d^4+120*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c*d^3-692*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^2*d^2+680*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^3*c^3*d-210*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^4*c^4)/b^2/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/d^4/(b*d)^(1/2)","B"
649,1,645,154,0.009000," ","int((b*x+a)^(5/2)*(d*x+c)^(1/2),x)","-\frac{5 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} d \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{128 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, b}+\frac{5 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{32 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}}-\frac{15 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,c^{2} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{64 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, d}+\frac{5 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c^{3} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{32 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, d^{2}}-\frac{5 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{4} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{128 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, d^{3}}+\frac{5 \sqrt{d x +c}\, \sqrt{b x +a}\, a^{3}}{64 b}-\frac{15 \sqrt{d x +c}\, \sqrt{b x +a}\, a^{2} c}{64 d}+\frac{15 \sqrt{d x +c}\, \sqrt{b x +a}\, a b \,c^{2}}{64 d^{2}}-\frac{5 \sqrt{d x +c}\, \sqrt{b x +a}\, b^{2} c^{3}}{64 d^{3}}+\frac{5 \sqrt{b x +a}\, \left(d x +c \right)^{\frac{3}{2}} a^{2}}{32 d}-\frac{5 \sqrt{b x +a}\, \left(d x +c \right)^{\frac{3}{2}} a b c}{16 d^{2}}+\frac{5 \sqrt{b x +a}\, \left(d x +c \right)^{\frac{3}{2}} b^{2} c^{2}}{32 d^{3}}+\frac{5 \left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{3}{2}} a}{24 d}-\frac{5 \left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{3}{2}} b c}{24 d^{2}}+\frac{\left(b x +a \right)^{\frac{5}{2}} \left(d x +c \right)^{\frac{3}{2}}}{4 d}"," ",0,"1/4/d*(b*x+a)^(5/2)*(d*x+c)^(3/2)+5/24/d*(b*x+a)^(3/2)*(d*x+c)^(3/2)*a-5/24/d^2*(b*x+a)^(3/2)*(d*x+c)^(3/2)*b*c+5/32/d*(b*x+a)^(1/2)*(d*x+c)^(3/2)*a^2-5/16/d^2*(b*x+a)^(1/2)*(d*x+c)^(3/2)*a*b*c+5/32/d^3*(b*x+a)^(1/2)*(d*x+c)^(3/2)*b^2*c^2+5/64/b*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^3-15/64/d*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^2*c+15/64/d^2*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a*c^2*b-5/64/d^3*(d*x+c)^(1/2)*(b*x+a)^(1/2)*c^3*b^2-5/128*d/b*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*a^4+5/32*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*a^3*c-15/64/d*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*a^2*c^2*b+5/32/d^2*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*a*c^3*b^2-5/128/d^3*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*c^4*b^3","B"
650,1,583,174,0.017000," ","int((b*x+a)^(5/2)*(d*x+c)^(1/2)/x,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-48 \sqrt{b d}\, a^{3} c \,d^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+15 \sqrt{a c}\, a^{3} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+45 \sqrt{a c}\, a^{2} b c \,d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 \sqrt{a c}\, a \,b^{2} c^{2} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 \sqrt{a c}\, b^{3} c^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+16 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} d^{2} x^{2}+52 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a b \,d^{2} x +4 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{2} c d x +66 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} d^{2}+28 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a b c d -6 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{2} c^{2}\right)}{48 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, d^{2}}"," ",0,"1/48*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(16*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*b^2*d^2*x^2+15*(a*c)^(1/2)*a^3*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+45*(a*c)^(1/2)*a^2*b*c*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-15*(a*c)^(1/2)*a*b^2*c^2*d*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+3*(a*c)^(1/2)*b^3*c^3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-48*(b*d)^(1/2)*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*a^3*c*d^2+52*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b*d^2*x+4*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^2*c*d*x+66*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*d^2+28*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b*c*d-6*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^2*c^2)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/d^2/(b*d)^(1/2)/(a*c)^(1/2)","B"
651,1,504,155,0.020000," ","int((b*x+a)^(5/2)*(d*x+c)^(1/2)/x^2,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-4 \sqrt{b d}\, a^{3} d^{2} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-20 \sqrt{b d}\, a^{2} b c d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+15 \sqrt{a c}\, a^{2} b \,d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+10 \sqrt{a c}\, a \,b^{2} c d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-\sqrt{a c}\, b^{3} c^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+4 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} d \,x^{2}+18 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a b d x +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} c x -8 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} d \right)}{8 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, d x}"," ",0,"1/8*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(15*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*b*d^2*(a*c)^(1/2)+10*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b^2*c*d*(a*c)^(1/2)-ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b^3*c^2*(a*c)^(1/2)-4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x*a^3*d^2*(b*d)^(1/2)-20*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x*a^2*b*c*d*(b*d)^(1/2)+4*x^2*b^2*d*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)+18*x*a*b*d*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)+2*x*b^2*c*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)-8*a^2*d*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2))/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/(b*d)^(1/2)/(a*c)^(1/2)/x/d","B"
652,1,511,168,0.018000," ","int((b*x+a)^(5/2)*(d*x+c)^(1/2)/x^3,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(\sqrt{b d}\, a^{3} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-10 \sqrt{b d}\, a^{2} b c d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-15 \sqrt{b d}\, a \,b^{2} c^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+20 \sqrt{a c}\, a \,b^{2} c d \,x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+4 \sqrt{a c}\, b^{3} c^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+8 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{2} c \,x^{2}-2 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} d x -18 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a b c x -4 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} c \right)}{8 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, c \,x^{2}}"," ",0,"1/8*(b*x+a)^(1/2)*(d*x+c)^(1/2)/c*(ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^2*a^3*d^2*(b*d)^(1/2)-10*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^2*a^2*b*c*d*(b*d)^(1/2)-15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^2*a*b^2*c^2*(b*d)^(1/2)+20*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a*b^2*c*d*(a*c)^(1/2)+4*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*b^3*c^2*(a*c)^(1/2)+8*x^2*b^2*c*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)-2*x*a^2*d*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)-18*x*a*b*c*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)-4*a^2*c*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^2/(b*d)^(1/2)/(a*c)^(1/2)","B"
653,1,601,184,0.020000," ","int((b*x+a)^(5/2)*(d*x+c)^(1/2)/x^4,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-3 \sqrt{b d}\, a^{3} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+15 \sqrt{b d}\, a^{2} b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-45 \sqrt{b d}\, a \,b^{2} c^{2} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-15 \sqrt{b d}\, b^{3} c^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+48 \sqrt{a c}\, b^{3} c^{2} d \,x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+6 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} d^{2} x^{2}-28 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a b c d \,x^{2}-66 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} c^{2} x^{2}-4 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} c d x -52 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a b \,c^{2} x -16 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} c^{2}\right)}{48 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, c^{2} x^{3}}"," ",0,"1/48*(b*x+a)^(1/2)*(d*x+c)^(1/2)/c^2*(48*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*b^3*c^2*d*(a*c)^(1/2)-3*(b*d)^(1/2)*a^3*d^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+15*(b*d)^(1/2)*a^2*b*c*d^2*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-45*(b*d)^(1/2)*a*b^2*c^2*d*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-15*(b*d)^(1/2)*b^3*c^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+6*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*d^2*x^2-28*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*b*c*d*x^2-66*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*b^2*c^2*x^2-4*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*c*d*x-52*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*b*c^2*x-16*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*c^2)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^3/(b*d)^(1/2)/(a*c)^(1/2)","B"
654,1,705,160,0.017000," ","int((b*x+a)^(5/2)*(d*x+c)^(1/2)/x^5,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(15 a^{4} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-60 a^{3} b c \,d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+90 a^{2} b^{2} c^{2} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-60 a \,b^{3} c^{3} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+15 b^{4} c^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-30 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} d^{3} x^{3}+110 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b c \,d^{2} x^{3}-146 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{2} c^{2} d \,x^{3}-30 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{3} c^{3} x^{3}+20 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} c \,d^{2} x^{2}-72 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b \,c^{2} d \,x^{2}-236 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{2} c^{3} x^{2}-16 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} c^{2} d x -272 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b \,c^{3} x -96 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{3} c^{3}\right)}{384 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a \,c^{3} x^{4}}"," ",0,"1/384*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a/c^3*(15*a^4*d^4*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-60*a^3*b*c*d^3*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+90*a^2*b^2*c^2*d^2*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-60*a*b^3*c^3*d*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+15*b^4*c^4*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-30*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*d^3*x^3+110*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b*c*d^2*x^3-146*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^2*c^2*d*x^3-30*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^3*c^3*x^3+20*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*c*d^2*x^2-72*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b*c^2*d*x^2-236*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^2*c^3*x^2-16*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*c^2*d*x-272*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b*c^3*x-96*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*a^3*c^3)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^4/(a*c)^(1/2)","B"
655,1,967,239,0.021000," ","int((b*x+a)^(5/2)*(d*x+c)^(1/2)/x^6,x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(105 a^{5} d^{5} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-375 a^{4} b c \,d^{4} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+450 a^{3} b^{2} c^{2} d^{3} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-150 a^{2} b^{3} c^{3} d^{2} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-75 a \,b^{4} c^{4} d \,x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+45 b^{5} c^{5} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-210 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} d^{4} x^{4}+680 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b c \,d^{3} x^{4}-692 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{2} d^{2} x^{4}+120 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{3} d \,x^{4}-90 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{4} c^{4} x^{4}+140 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} c \,d^{3} x^{3}-444 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,c^{2} d^{2} x^{3}+436 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{3} d \,x^{3}+60 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{4} x^{3}-112 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} c^{2} d^{2} x^{2}+352 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,c^{3} d \,x^{2}+1488 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{4} x^{2}+96 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} c^{3} d x +2016 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,c^{4} x +768 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{4} c^{4}\right)}{3840 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{2} c^{4} x^{5}}"," ",0,"-1/3840*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a^2/c^4*(105*a^5*d^5*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-375*a^4*b*c*d^4*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+450*a^3*b^2*c^2*d^3*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-150*a^2*b^3*c^3*d^2*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-75*a*b^4*c^4*d*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+45*b^5*c^5*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-210*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*d^4*x^4+680*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c*d^3*x^4-692*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^2*d^2*x^4+120*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^3*c^3*d*x^4-90*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^4*c^4*x^4+140*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*c*d^3*x^3-444*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c^2*d^2*x^3+436*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^3*d*x^3+60*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^3*c^4*x^3-112*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*c^2*d^2*x^2+352*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c^3*d*x^2+1488*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^4*x^2+96*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*c^3*d*x+2016*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c^4*x+768*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*a^4*c^4)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^5/(a*c)^(1/2)","B"
656,1,1580,381,0.021000," ","int(x^2*(b*x+a)^(5/2)*(d*x+c)^(3/2),x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(30720 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{6} d^{6} x^{6}+74240 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{5} d^{6} x^{5}+38400 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{6} c \,d^{5} x^{5}+47360 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b^{4} d^{6} x^{4}+97280 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{5} c \,d^{5} x^{4}+768 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{6} c^{2} d^{4} x^{4}+525 a^{7} d^{7} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-1575 a^{6} b c \,d^{6} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+945 a^{5} b^{2} c^{2} d^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+525 a^{4} b^{3} c^{3} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+1575 a^{3} b^{4} c^{4} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+480 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{3} b^{3} d^{6} x^{3}-4725 a^{2} b^{5} c^{5} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+67040 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b^{4} c \,d^{5} x^{3}+3675 a \,b^{6} c^{6} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2976 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{5} c^{2} d^{4} x^{3}-945 b^{7} c^{7} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-864 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{6} c^{3} d^{3} x^{3}-560 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{4} b^{2} d^{6} x^{2}+1440 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{3} b^{3} c \,d^{5} x^{2}+3648 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b^{4} c^{2} d^{4} x^{2}-3488 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{5} c^{3} d^{3} x^{2}+1008 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{6} c^{4} d^{2} x^{2}+700 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{5} b \,d^{6} x -1820 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{4} b^{2} c \,d^{5} x +600 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{3} b^{3} c^{2} d^{4} x -4664 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b^{4} c^{3} d^{3} x +4396 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{5} c^{4} d^{2} x -1260 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{6} c^{5} d x -1050 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{6} d^{6}+2800 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{5} b c \,d^{5}-1050 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{4} b^{2} c^{2} d^{4}-1200 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{3} b^{3} c^{3} d^{3}+7378 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b^{4} c^{4} d^{2}-6720 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{5} c^{5} d +1890 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{6} c^{6}\right)}{215040 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{4} d^{5}}"," ",0,"1/215040*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(2800*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^5*b*c*d^5-945*b^7*c^7*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+525*a^7*d^7*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-1575*a^6*b*c*d^6*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+47360*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^2*b^4*d^6*x^4+768*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^6*c^2*d^4*x^4+480*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^3*b^3*d^6*x^3-864*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^6*c^3*d^3*x^3-560*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^4*b^2*d^6*x^2+1008*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^6*c^4*d^2*x^2-6720*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^5*c^5*d-1050*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^6*d^6+1890*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^6*c^6-1050*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^4*b^2*c^2*d^4-1200*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^3*b^3*c^3*d^3+7378*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^2*b^4*c^4*d^2+700*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^5*b*d^6*x-1260*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^6*c^5*d*x+74240*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^5*d^6*x^5+38400*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^6*c*d^5*x^5+945*a^5*b^2*c^2*d^5*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+525*a^4*b^3*c^3*d^4*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+1575*a^3*b^4*c^4*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-4725*a^2*b^5*c^5*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+3675*a*b^6*c^6*d*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+30720*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^6*d^6*x^6+4396*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^5*c^4*d^2*x-1820*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^4*b^2*c*d^5*x+600*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^3*b^3*c^2*d^4*x-4664*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^2*b^4*c^3*d^3*x+97280*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^5*c*d^5*x^4+67040*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^2*b^4*c*d^5*x^3+2976*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^5*c^2*d^4*x^3+1440*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^3*b^3*c*d^5*x^2+3648*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^2*b^4*c^2*d^4*x^2-3488*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^5*c^3*d^3*x^2)/b^4/d^5/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/(b*d)^(1/2)","B"
657,1,1240,265,0.017000," ","int(x*(b*x+a)^(5/2)*(d*x+c)^(3/2),x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-2560 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} d^{5} x^{5}-6400 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} d^{5} x^{4}-3328 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c \,d^{4} x^{4}+75 a^{6} d^{6} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-270 a^{5} b c \,d^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+225 a^{4} b^{2} c^{2} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+300 a^{3} b^{3} c^{3} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-675 a^{2} b^{4} c^{4} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-4320 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} d^{5} x^{3}+450 a \,b^{5} c^{5} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-8896 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c \,d^{4} x^{3}-105 b^{6} c^{6} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-96 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{2} d^{3} x^{3}-80 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} d^{5} x^{2}-6768 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c \,d^{4} x^{2}-432 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c^{2} d^{3} x^{2}+112 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{3} d^{2} x^{2}+100 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} b \,d^{5} x -320 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} c \,d^{4} x -696 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c^{2} d^{3} x +544 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c^{3} d^{2} x -140 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{4} d x -150 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{5} d^{5}+490 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} b c \,d^{4}-300 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} c^{2} d^{3}+1092 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c^{3} d^{2}-830 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c^{4} d +210 \sqrt{b d}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{5}\right)}{15360 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{3} d^{4}}"," ",0,"-1/15360*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(-6400*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^4*d^5*x^4-3328*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*c*d^4*x^4-4320*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^3*d^5*x^3-96*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*c^2*d^3*x^3-80*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b^2*d^5*x^2+112*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*c^3*d^2*x^2+100*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*b*d^5*x-140*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*c^4*d*x+490*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*b*c*d^4-300*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b^2*c^2*d^3+1092*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^3*c^3*d^2-830*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^4*c^4*d-270*a^5*b*c*d^5*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+225*a^4*b^2*c^2*d^4*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+300*a^3*b^3*c^3*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-675*a^2*b^4*c^4*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+450*a*b^5*c^5*d*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-2560*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*d^5*x^5-150*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^5*d^5+210*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*c^5+75*a^6*d^6*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-105*b^6*c^6*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-8896*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^4*c*d^4*x^3-6768*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^3*c*d^4*x^2-432*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^4*c^2*d^3*x^2-320*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b^2*c*d^4*x-696*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^3*c^2*d^3*x+544*(b*d)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^4*c^3*d^2*x)/b^3/d^4/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/(b*d)^(1/2)","B"
658,1,853,183,0.000000," ","int((b*x+a)^(5/2)*(d*x+c)^(3/2),x)","\frac{3 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{5} d^{2} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{256 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, b^{2}}-\frac{15 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} c d \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{256 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, b}+\frac{15 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c^{2} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{128 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}}-\frac{15 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,c^{3} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{128 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, d}+\frac{15 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c^{4} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{256 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, d^{2}}-\frac{3 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{5} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{256 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, d^{3}}-\frac{3 \sqrt{d x +c}\, \sqrt{b x +a}\, a^{4} d}{128 b^{2}}+\frac{3 \sqrt{d x +c}\, \sqrt{b x +a}\, a^{3} c}{32 b}-\frac{9 \sqrt{d x +c}\, \sqrt{b x +a}\, a^{2} c^{2}}{64 d}+\frac{3 \sqrt{d x +c}\, \sqrt{b x +a}\, a b \,c^{3}}{32 d^{2}}-\frac{3 \sqrt{d x +c}\, \sqrt{b x +a}\, b^{2} c^{4}}{128 d^{3}}+\frac{\left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, a^{3}}{64 b}-\frac{3 \left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, a^{2} c}{64 d}+\frac{3 \left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, a b \,c^{2}}{64 d^{2}}-\frac{\left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, b^{2} c^{3}}{64 d^{3}}+\frac{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{5}{2}} a^{2}}{16 d}-\frac{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{5}{2}} a b c}{8 d^{2}}+\frac{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{5}{2}} b^{2} c^{2}}{16 d^{3}}+\frac{\left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{5}{2}} a}{8 d}-\frac{\left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{5}{2}} b c}{8 d^{2}}+\frac{\left(b x +a \right)^{\frac{5}{2}} \left(d x +c \right)^{\frac{5}{2}}}{5 d}"," ",0,"3/256*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(b*d)^(1/2)*a^5/b^2*d^2*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))-15/256*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(b*d)^(1/2)*a^4/b*c*d*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))+15/128*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(b*d)^(1/2)*a^3*c^2*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))-15/128*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(b*d)^(1/2)*a^2*b*c^3/d*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))+15/256*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(b*d)^(1/2)*a*b^2*c^4/d^2*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))-3/256*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(b*d)^(1/2)*b^3*c^5/d^3*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))-3/128*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^4/b^2*d+3/32*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^3/b*c-9/64*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^2*c^2/d+3/32*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a*b*c^3/d^2-3/128*(d*x+c)^(1/2)*(b*x+a)^(1/2)*b^2*c^4/d^3+1/64*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a^3/b-3/64*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a^2*c/d+3/64*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a*b*c^2/d^2-1/64*(d*x+c)^(3/2)*(b*x+a)^(1/2)*b^2*c^3/d^3+1/16*(b*x+a)^(1/2)*(d*x+c)^(5/2)*a^2/d-1/8*(b*x+a)^(1/2)*(d*x+c)^(5/2)*a*b*c/d^2+1/16*(b*x+a)^(1/2)*(d*x+c)^(5/2)*b^2*c^2/d^3+1/8*(b*x+a)^(3/2)*(d*x+c)^(5/2)*a/d-1/8*(b*x+a)^(3/2)*(d*x+c)^(5/2)*b*c/d^2+1/5*(b*x+a)^(5/2)*(d*x+c)^(5/2)/d","B"
659,1,828,249,0.016000," ","int((b*x+a)^(5/2)*(d*x+c)^(3/2)/x,x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(15 \sqrt{a c}\, a^{4} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+384 \sqrt{b d}\, a^{3} b \,c^{2} d^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-180 \sqrt{a c}\, a^{3} b c \,d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-270 \sqrt{a c}\, a^{2} b^{2} c^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+60 \sqrt{a c}\, a \,b^{3} c^{3} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-9 \sqrt{a c}\, b^{4} c^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-96 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{3} d^{3} x^{3}-272 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a \,b^{2} d^{3} x^{2}-144 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{3} c \,d^{2} x^{2}-236 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b \,d^{3} x -488 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{2} c \,d^{2} x -12 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{3} c^{2} d x -30 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} d^{3}-674 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b c \,d^{2}-114 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{2} c^{2} d +18 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{3} c^{3}\right)}{384 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b \,d^{2}}"," ",0,"-1/384*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(-96*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*b^3*d^3*x^3-272*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*b^2*d^3*x^2-144*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*b^3*c*d^2*x^2+15*(a*c)^(1/2)*a^4*d^4*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-180*(a*c)^(1/2)*a^3*b*c*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-270*(a*c)^(1/2)*a^2*b^2*c^2*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+60*(a*c)^(1/2)*a*b^3*c^3*d*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-9*(a*c)^(1/2)*b^4*c^4*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+384*(b*d)^(1/2)*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*a^3*b*c^2*d^2-236*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b*d^3*x-488*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^2*c*d^2*x-12*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^3*c^2*d*x-30*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*d^3-674*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b*c*d^2-114*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^2*c^2*d+18*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^3*c^3)/b/d^2/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/(b*d)^(1/2)/(a*c)^(1/2)","B"
660,1,696,211,0.017000," ","int((b*x+a)^(5/2)*(d*x+c)^(3/2)/x^2,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-72 \sqrt{b d}\, a^{3} c \,d^{2} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+15 \sqrt{a c}\, a^{3} d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-120 \sqrt{b d}\, a^{2} b \,c^{2} d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+135 \sqrt{a c}\, a^{2} b c \,d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+45 \sqrt{a c}\, a \,b^{2} c^{2} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 \sqrt{a c}\, b^{3} c^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+16 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} d^{2} x^{3}+52 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a b \,d^{2} x^{2}+28 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} c d \,x^{2}+66 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} d^{2} x +136 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a b c d x +6 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} c^{2} x -48 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} c d \right)}{48 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, d x}"," ",0,"1/48*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(16*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*b^2*d^2*x^3+15*(a*c)^(1/2)*a^3*d^3*x*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+135*(a*c)^(1/2)*a^2*b*c*d^2*x*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+45*(a*c)^(1/2)*a*b^2*c^2*d*x*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-3*(a*c)^(1/2)*b^3*c^3*x*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-72*(b*d)^(1/2)*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x*a^3*c*d^2-120*(b*d)^(1/2)*a^2*b*c^2*d*x*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+52*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*b*d^2*x^2+28*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*b^2*c*d*x^2+66*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*d^2*x+136*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*b*c*d*x+6*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*b^2*c^2*x-48*a^2*c*d*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2))/d/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/(b*d)^(1/2)/x/(a*c)^(1/2)","B"
661,1,650,223,0.020000," ","int((b*x+a)^(5/2)*(d*x+c)^(3/2)/x^3,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-3 \sqrt{b d}\, a^{3} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-30 \sqrt{b d}\, a^{2} b c d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+15 \sqrt{a c}\, a^{2} b \,d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 \sqrt{b d}\, a \,b^{2} c^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+30 \sqrt{a c}\, a \,b^{2} c d \,x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 \sqrt{a c}\, b^{3} c^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+4 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} d \,x^{3}+18 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a b d \,x^{2}+10 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{2} c \,x^{2}-10 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} d x -18 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a b c x -4 \sqrt{b d}\, \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} c \right)}{8 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, x^{2}}"," ",0,"1/8*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(15*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^2*b*d^2*(a*c)^(1/2)+30*(a*c)^(1/2)*a*b^2*c*d*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+3*(a*c)^(1/2)*b^3*c^2*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-3*(b*d)^(1/2)*a^3*d^2*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-30*(b*d)^(1/2)*a^2*b*c*d*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-15*(b*d)^(1/2)*a*b^2*c^2*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+4*x^3*b^2*d*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)+18*x^2*a*b*d*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)+10*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^2*c*x^2-10*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*d*x-18*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b*c*x-4*(b*d)^(1/2)*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*c)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^2/(b*d)^(1/2)/(a*c)^(1/2)","B"
662,1,706,244,0.018000," ","int((b*x+a)^(5/2)*(d*x+c)^(3/2)/x^4,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(3 \sqrt{b d}\, a^{3} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-45 \sqrt{b d}\, a^{2} b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-135 \sqrt{b d}\, a \,b^{2} c^{2} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+120 \sqrt{a c}\, a \,b^{2} c \,d^{2} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 \sqrt{b d}\, b^{3} c^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+72 \sqrt{a c}\, b^{3} c^{2} d \,x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+48 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} c d \,x^{3}-6 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} d^{2} x^{2}-136 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a b c d \,x^{2}-66 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} c^{2} x^{2}-28 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} c d x -52 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a b \,c^{2} x -16 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} c^{2}\right)}{48 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, c \,x^{3}}"," ",0,"1/48*(b*x+a)^(1/2)*(d*x+c)^(1/2)/c*(120*(a*c)^(1/2)*a*b^2*c*d^2*x^3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+72*(a*c)^(1/2)*b^3*c^2*d*x^3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+3*(b*d)^(1/2)*a^3*d^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-45*(b*d)^(1/2)*a^2*b*c*d^2*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-135*(b*d)^(1/2)*a*b^2*c^2*d*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-15*(b*d)^(1/2)*b^3*c^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+48*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^3*b^2*c*d-6*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*d^2*x^2-136*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*b*c*d*x^2-66*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*b^2*c^2*x^2-28*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*c*d*x-52*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*b*c^2*x-16*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*c^2)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^3/(b*d)^(1/2)/(a*c)^(1/2)","B"
663,1,852,263,0.021000," ","int((b*x+a)^(5/2)*(d*x+c)^(3/2)/x^5,x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(9 \sqrt{b d}\, a^{4} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-60 \sqrt{b d}\, a^{3} b c \,d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+270 \sqrt{b d}\, a^{2} b^{2} c^{2} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+180 \sqrt{b d}\, a \,b^{3} c^{3} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-384 \sqrt{a c}\, a \,b^{3} c^{2} d^{2} x^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 \sqrt{b d}\, b^{4} c^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-18 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{3} d^{3} x^{3}+114 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} b c \,d^{2} x^{3}+674 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a \,b^{2} c^{2} d \,x^{3}+30 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{3} c^{3} x^{3}+12 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{3} c \,d^{2} x^{2}+488 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} b \,c^{2} d \,x^{2}+236 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a \,b^{2} c^{3} x^{2}+144 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{3} c^{2} d x +272 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} b \,c^{3} x +96 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{3} c^{3}\right)}{384 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a \,c^{2} x^{4}}"," ",0,"-1/384*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a/c^2*(9*(b*d)^(1/2)*a^4*d^4*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-60*(b*d)^(1/2)*a^3*b*c*d^3*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+270*(b*d)^(1/2)*a^2*b^2*c^2*d^2*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+180*(b*d)^(1/2)*a*b^3*c^3*d*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-15*(b*d)^(1/2)*b^4*c^4*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-384*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^4*a*b^3*c^2*d^2*(a*c)^(1/2)-18*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^3*d^3*x^3+114*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*b*c*d^2*x^3+674*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*b^2*c^2*d*x^3+30*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*b^3*c^3*x^3+12*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^3*c*d^2*x^2+488*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*b*c^2*d*x^2+236*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*b^2*c^3*x^2+144*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^3*c^2*d*x+272*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*b*c^3*x+96*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^3*c^3)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^4/(b*d)^(1/2)/(a*c)^(1/2)","B"
664,1,967,195,0.021000," ","int((b*x+a)^(5/2)*(d*x+c)^(3/2)/x^6,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(15 a^{5} d^{5} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-75 a^{4} b c \,d^{4} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+150 a^{3} b^{2} c^{2} d^{3} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-150 a^{2} b^{3} c^{3} d^{2} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+75 a \,b^{4} c^{4} d \,x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-15 b^{5} c^{5} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-30 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} d^{4} x^{4}+140 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b c \,d^{3} x^{4}-256 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{2} d^{2} x^{4}-140 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{3} d \,x^{4}+30 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{4} c^{4} x^{4}+20 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} c \,d^{3} x^{3}-92 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,c^{2} d^{2} x^{3}-932 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{3} d \,x^{3}-20 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{3} c^{4} x^{3}-16 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} c^{2} d^{2} x^{2}-1024 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,c^{3} d \,x^{2}-496 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{2} c^{4} x^{2}-352 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} c^{3} d x -672 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b \,c^{4} x -256 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{4} c^{4}\right)}{1280 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{2} c^{3} x^{5}}"," ",0,"1/1280*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a^2/c^3*(15*a^5*d^5*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-75*a^4*b*c*d^4*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+150*a^3*b^2*c^2*d^3*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-150*a^2*b^3*c^3*d^2*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+75*a*b^4*c^4*d*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-15*b^5*c^5*x^5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-30*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*d^4*x^4+140*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c*d^3*x^4-256*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^2*d^2*x^4-140*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^3*c^3*d*x^4+30*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^4*c^4*x^4+20*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*c*d^3*x^3-92*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c^2*d^2*x^3-932*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^3*d*x^3-20*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^3*c^4*x^3-16*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*c^2*d^2*x^2-1024*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c^3*d*x^2-496*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^2*c^4*x^2-352*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*c^3*d*x-672*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b*c^4*x-256*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*a^4*c^4)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^5/(a*c)^(1/2)","B"
665,1,1580,292,0.020000," ","int(x*(b*x+a)^(5/2)*(d*x+c)^(5/2),x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(6144 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{6} d^{6} x^{6}+14848 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{5} d^{6} x^{5}+14848 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{6} c \,d^{5} x^{5}+9472 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b^{4} d^{6} x^{4}+37376 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{5} c \,d^{5} x^{4}+9472 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{6} c^{2} d^{4} x^{4}+105 a^{7} d^{7} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-525 a^{6} b c \,d^{6} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+945 a^{5} b^{2} c^{2} d^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-525 a^{4} b^{3} c^{3} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-525 a^{3} b^{4} c^{4} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+96 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{3} b^{3} d^{6} x^{3}+945 a^{2} b^{5} c^{5} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+25504 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b^{4} c \,d^{5} x^{3}-525 a \,b^{6} c^{6} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+25504 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{5} c^{2} d^{4} x^{3}+105 b^{7} c^{7} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+96 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{6} c^{3} d^{3} x^{3}-112 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{4} b^{2} d^{6} x^{2}+512 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{3} b^{3} c \,d^{5} x^{2}+19680 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b^{4} c^{2} d^{4} x^{2}+512 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{5} c^{3} d^{3} x^{2}-112 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{6} c^{4} d^{2} x^{2}+140 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{5} b \,d^{6} x -644 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{4} b^{2} c \,d^{5} x +1016 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{3} b^{3} c^{2} d^{4} x +1016 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b^{4} c^{3} d^{3} x -644 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{5} c^{4} d^{2} x +140 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{6} c^{5} d x -210 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{6} d^{6}+980 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{5} b c \,d^{5}-1582 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{4} b^{2} c^{2} d^{4}+600 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{3} b^{3} c^{3} d^{3}-1582 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a^{2} b^{4} c^{4} d^{2}+980 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, a \,b^{5} c^{5} d -210 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{6} c^{6}\right)}{43008 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, b^{4} d^{4}}"," ",0,"1/43008*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(980*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^5*b*c*d^5+105*b^7*c^7*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+105*a^7*d^7*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-525*a^6*b*c*d^6*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+9472*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^2*b^4*d^6*x^4+9472*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^6*c^2*d^4*x^4+96*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^3*b^3*d^6*x^3+96*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^6*c^3*d^3*x^3-112*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^4*b^2*d^6*x^2-112*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^6*c^4*d^2*x^2+980*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^5*c^5*d-210*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^6*d^6-210*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^6*c^6-1582*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^4*b^2*c^2*d^4+600*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^3*b^3*c^3*d^3-1582*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^2*b^4*c^4*d^2+140*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^5*b*d^6*x+140*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^6*c^5*d*x+14848*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^5*d^6*x^5+14848*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^6*c*d^5*x^5+945*a^5*b^2*c^2*d^5*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-525*a^4*b^3*c^3*d^4*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-525*a^3*b^4*c^4*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+945*a^2*b^5*c^5*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-525*a*b^6*c^6*d*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+6144*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*b^6*d^6*x^6-644*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^5*c^4*d^2*x-644*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^4*b^2*c*d^5*x+1016*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^3*b^3*c^2*d^4*x+1016*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^2*b^4*c^3*d^3*x+37376*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^5*c*d^5*x^4+25504*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^2*b^4*c*d^5*x^3+25504*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^5*c^2*d^4*x^3+512*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^3*b^3*c*d^5*x^2+19680*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a^2*b^4*c^2*d^4*x^2+512*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*a*b^5*c^3*d^3*x^2)/b^4/d^4/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/(b*d)^(1/2)","B"
666,1,1089,212,0.000000," ","int((b*x+a)^(5/2)*(d*x+c)^(5/2),x)","-\frac{5 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{6} d^{3} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{1024 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, b^{3}}+\frac{15 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{5} c \,d^{2} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{512 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, b^{2}}-\frac{75 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} c^{2} d \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{1024 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, b}+\frac{25 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c^{3} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{256 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}}-\frac{75 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,c^{4} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{1024 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, d}+\frac{15 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c^{5} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{512 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, d^{2}}-\frac{5 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{6} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{1024 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, d^{3}}+\frac{5 \sqrt{d x +c}\, \sqrt{b x +a}\, a^{5} d^{2}}{512 b^{3}}-\frac{25 \sqrt{d x +c}\, \sqrt{b x +a}\, a^{4} c d}{512 b^{2}}+\frac{25 \sqrt{d x +c}\, \sqrt{b x +a}\, a^{3} c^{2}}{256 b}-\frac{25 \sqrt{d x +c}\, \sqrt{b x +a}\, a^{2} c^{3}}{256 d}+\frac{25 \sqrt{d x +c}\, \sqrt{b x +a}\, a b \,c^{4}}{512 d^{2}}-\frac{5 \sqrt{d x +c}\, \sqrt{b x +a}\, b^{2} c^{5}}{512 d^{3}}-\frac{5 \left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, a^{4} d}{768 b^{2}}+\frac{5 \left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, a^{3} c}{192 b}-\frac{5 \left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, a^{2} c^{2}}{128 d}+\frac{5 \left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, a b \,c^{3}}{192 d^{2}}-\frac{5 \left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, b^{2} c^{4}}{768 d^{3}}+\frac{\left(d x +c \right)^{\frac{5}{2}} \sqrt{b x +a}\, a^{3}}{192 b}-\frac{\left(d x +c \right)^{\frac{5}{2}} \sqrt{b x +a}\, a^{2} c}{64 d}+\frac{\left(d x +c \right)^{\frac{5}{2}} \sqrt{b x +a}\, a b \,c^{2}}{64 d^{2}}-\frac{\left(d x +c \right)^{\frac{5}{2}} \sqrt{b x +a}\, b^{2} c^{3}}{192 d^{3}}+\frac{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{7}{2}} a^{2}}{32 d}-\frac{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{7}{2}} a b c}{16 d^{2}}+\frac{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{7}{2}} b^{2} c^{2}}{32 d^{3}}+\frac{\left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{7}{2}} a}{12 d}-\frac{\left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{7}{2}} b c}{12 d^{2}}+\frac{\left(b x +a \right)^{\frac{5}{2}} \left(d x +c \right)^{\frac{7}{2}}}{6 d}"," ",0,"-5/1024*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(b*d)^(1/2)*a^6/b^3*d^3*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))+15/512*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(b*d)^(1/2)*a^5/b^2*c*d^2*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))-75/1024*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(b*d)^(1/2)*a^4/b*c^2*d*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))+25/256*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(b*d)^(1/2)*a^3*c^3*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))-75/1024*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(b*d)^(1/2)*a^2*b*c^4/d*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))+15/512*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(b*d)^(1/2)*a*b^2*c^5/d^2*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))-5/1024*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(b*d)^(1/2)*b^3*c^6/d^3*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))+5/512*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^5/b^3*d^2-25/512*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^4/b^2*c*d+25/256*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^3/b*c^2-25/256*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^2*c^3/d+25/512*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a*b*c^4/d^2-5/512*(d*x+c)^(1/2)*(b*x+a)^(1/2)*b^2*c^5/d^3-5/768*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a^4/b^2*d+5/192*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a^3/b*c-5/128*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a^2*c^2/d+5/192*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a*b*c^3/d^2-5/768*(d*x+c)^(3/2)*(b*x+a)^(1/2)*b^2*c^4/d^3+1/192*(d*x+c)^(5/2)*(b*x+a)^(1/2)*a^3/b-1/64*(d*x+c)^(5/2)*(b*x+a)^(1/2)*a^2*c/d+1/64*(d*x+c)^(5/2)*(b*x+a)^(1/2)*a*b*c^2/d^2-1/192*(d*x+c)^(5/2)*(b*x+a)^(1/2)*b^2*c^3/d^3+1/32*(b*x+a)^(1/2)*(d*x+c)^(7/2)*a^2/d-1/16*(b*x+a)^(1/2)*(d*x+c)^(7/2)*a*b*c/d^2+1/32*(b*x+a)^(1/2)*(d*x+c)^(7/2)*b^2*c^2/d^3+1/12*(b*x+a)^(3/2)*(d*x+c)^(7/2)*a/d-1/12*(b*x+a)^(3/2)*(d*x+c)^(7/2)*b*c/d^2+1/6*(b*x+a)^(5/2)*(d*x+c)^(7/2)/d","B"
667,1,1116,335,0.021000," ","int((b*x+a)^(5/2)*(d*x+c)^(5/2)/x,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(768 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, \sqrt{b d}\, b^{4} d^{4} x^{4}+45 \sqrt{a c}\, a^{5} d^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-375 \sqrt{a c}\, a^{4} b c \,d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3840 \sqrt{b d}\, a^{3} b^{2} c^{3} d^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+2250 \sqrt{a c}\, a^{3} b^{2} c^{2} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2250 \sqrt{a c}\, a^{2} b^{3} c^{3} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-375 \sqrt{a c}\, a \,b^{4} c^{4} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2016 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, \sqrt{b d}\, a \,b^{3} d^{4} x^{3}+45 \sqrt{a c}\, b^{5} c^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2016 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, \sqrt{b d}\, b^{4} c \,d^{3} x^{3}+1488 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, \sqrt{b d}\, a^{2} b^{2} d^{4} x^{2}+5792 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, \sqrt{b d}\, a \,b^{3} c \,d^{3} x^{2}+1488 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, \sqrt{b d}\, b^{4} c^{2} d^{2} x^{2}+60 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, \sqrt{b d}\, a^{3} b \,d^{4} x +5156 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, \sqrt{b d}\, a^{2} b^{2} c \,d^{3} x +5156 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, \sqrt{b d}\, a \,b^{3} c^{2} d^{2} x +60 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, \sqrt{b d}\, b^{4} c^{3} d x -90 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, \sqrt{b d}\, a^{4} d^{4}+720 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, \sqrt{b d}\, a^{3} b c \,d^{3}+7508 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, \sqrt{b d}\, a^{2} b^{2} c^{2} d^{2}+720 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, \sqrt{b d}\, a \,b^{3} c^{3} d -90 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, \sqrt{b d}\, b^{4} c^{4}\right)}{3840 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} d^{2}}"," ",0,"1/3840*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(768*x^4*b^4*d^4*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*(b*d)^(1/2)+2016*x^3*a*b^3*d^4*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*(b*d)^(1/2)+2016*x^3*b^4*c*d^3*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*(b*d)^(1/2)+1488*x^2*a^2*b^2*d^4*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*(b*d)^(1/2)+5792*x^2*a*b^3*c*d^3*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*(b*d)^(1/2)+1488*x^2*b^4*c^2*d^2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*(b*d)^(1/2)+45*(a*c)^(1/2)*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^5*d^5-375*(a*c)^(1/2)*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^4*b*c*d^4+2250*(a*c)^(1/2)*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*b^2*c^2*d^3+2250*(a*c)^(1/2)*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b^3*c^3*d^2-375*(a*c)^(1/2)*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b^4*c^4*d+45*(a*c)^(1/2)*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*b^5*c^5-3840*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*(b*d)^(1/2)*a^3*b^2*c^3*d^2+60*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*(b*d)^(1/2)*x*a^3*b*d^4+5156*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*(b*d)^(1/2)*x*a^2*b^2*c*d^3+5156*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*(b*d)^(1/2)*x*a*b^3*c^2*d^2+60*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*(b*d)^(1/2)*x*b^4*c^3*d-90*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*(b*d)^(1/2)*a^4*d^4+720*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*(b*d)^(1/2)*a^3*b*c*d^3+7508*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*(b*d)^(1/2)*a^2*b^2*c^2*d^2+720*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*(b*d)^(1/2)*a*b^3*c^3*d-90*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*(b*d)^(1/2)*b^4*c^4)/b^2/d^2/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/(b*d)^(1/2)/(a*c)^(1/2)","B"
668,1,950,280,0.020000," ","int((b*x+a)^(5/2)*(d*x+c)^(5/2)/x^2,x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(15 \sqrt{a c}\, a^{4} d^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+960 \sqrt{b d}\, a^{3} b \,c^{2} d^{2} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-300 \sqrt{a c}\, a^{3} b c \,d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+960 \sqrt{b d}\, a^{2} b^{2} c^{3} d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-1350 \sqrt{a c}\, a^{2} b^{2} c^{2} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-300 \sqrt{a c}\, a \,b^{3} c^{3} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 \sqrt{a c}\, b^{4} c^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-96 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{3} d^{3} x^{4}-272 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a \,b^{2} d^{3} x^{3}-272 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{3} c \,d^{2} x^{3}-236 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} b \,d^{3} x^{2}-904 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a \,b^{2} c \,d^{2} x^{2}-236 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{3} c^{2} d \,x^{2}-30 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{3} d^{3} x -1202 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} b c \,d^{2} x -1202 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a \,b^{2} c^{2} d x -30 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{3} c^{3} x +384 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} b \,c^{2} d \right)}{384 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b d x}"," ",0,"-1/384*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(-96*x^4*b^3*d^3*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)-272*x^3*a*b^2*d^3*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)-272*x^3*b^3*c*d^2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)+15*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*x*a^4*d^4-300*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*x*a^3*b*c*d^3-1350*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*x*a^2*b^2*c^2*d^2-300*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*x*a*b^3*c^3*d+15*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*x*b^4*c^4+960*(b*d)^(1/2)*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x*a^3*b*c^2*d^2+960*(b*d)^(1/2)*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x*a^2*b^2*c^3*d-236*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^2*a^2*b*d^3-904*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^2*a*b^2*c*d^2-236*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^2*b^3*c^2*d-30*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x*a^3*d^3-1202*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x*a^2*b*c*d^2-1202*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x*a*b^2*c^2*d-30*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x*b^3*c^3+384*a^2*b*c^2*d*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2))/b/d/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/(b*d)^(1/2)/x/(a*c)^(1/2)","B"
669,1,850,261,0.019000," ","int((b*x+a)^(5/2)*(d*x+c)^(5/2)/x^3,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-90 \sqrt{b d}\, a^{3} c \,d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+15 \sqrt{a c}\, a^{3} d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-300 \sqrt{b d}\, a^{2} b \,c^{2} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+225 \sqrt{a c}\, a^{2} b c \,d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-90 \sqrt{b d}\, a \,b^{2} c^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+225 \sqrt{a c}\, a \,b^{2} c^{2} d \,x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 \sqrt{a c}\, b^{3} c^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+16 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} d^{2} x^{4}+52 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a b \,d^{2} x^{3}+52 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} c d \,x^{3}+66 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} d^{2} x^{2}+244 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a b c d \,x^{2}+66 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} c^{2} x^{2}-108 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} c d x -108 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a b \,c^{2} x -24 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} c^{2}\right)}{48 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, x^{2}}"," ",0,"1/48*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(16*x^4*b^2*d^2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)+15*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*x^2*a^3*d^3+225*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*x^2*a^2*b*c*d^2+225*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*x^2*a*b^2*c^2*d+15*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*(a*c)^(1/2)*x^2*b^3*c^3-90*(b*d)^(1/2)*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^2*a^3*c*d^2-300*(b*d)^(1/2)*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^2*a^2*b*c^2*d-90*(b*d)^(1/2)*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^2*a*b^2*c^3+52*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*b*d^2*x^3+52*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*b^2*c*d*x^3+66*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*d^2*x^2+244*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*b*c*d*x^2+66*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*b^2*c^2*x^2-108*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*c*d*x-108*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*b*c^2*x-24*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*c^2)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/(b*d)^(1/2)/x^2/(a*c)^(1/2)","B"
670,1,848,281,0.020000," ","int((b*x+a)^(5/2)*(d*x+c)^(5/2)/x^4,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-15 \sqrt{b d}\, a^{3} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-225 \sqrt{b d}\, a^{2} b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+90 \sqrt{a c}\, a^{2} b \,d^{3} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-225 \sqrt{b d}\, a \,b^{2} c^{2} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+300 \sqrt{a c}\, a \,b^{2} c \,d^{2} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 \sqrt{b d}\, b^{3} c^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+90 \sqrt{a c}\, b^{3} c^{2} d \,x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+24 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} d^{2} x^{4}+108 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a b \,d^{2} x^{3}+108 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} c d \,x^{3}-66 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} d^{2} x^{2}-244 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a b c d \,x^{2}-66 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} c^{2} x^{2}-52 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} c d x -52 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a b \,c^{2} x -16 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} c^{2}\right)}{48 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, x^{3}}"," ",0,"1/48*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(90*(a*c)^(1/2)*a^2*b*d^3*x^3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+300*(a*c)^(1/2)*a*b^2*c*d^2*x^3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+90*(a*c)^(1/2)*b^3*c^2*d*x^3*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-15*(b*d)^(1/2)*a^3*d^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-225*(b*d)^(1/2)*a^2*b*c*d^2*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-225*(b*d)^(1/2)*a*b^2*c^2*d*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-15*(b*d)^(1/2)*b^3*c^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+24*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*b^2*d^2*x^4+108*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*b*d^2*x^3+108*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*b^2*c*d*x^3-66*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*d^2*x^2-244*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*b*c*d*x^2-66*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*b^2*c^2*x^2-52*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*c*d*x-52*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*b*c^2*x-16*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*c^2)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^3/(b*d)^(1/2)/(a*c)^(1/2)","B"
671,1,962,324,0.020000," ","int((b*x+a)^(5/2)*(d*x+c)^(5/2)/x^5,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(15 \sqrt{b d}\, a^{4} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-300 \sqrt{b d}\, a^{3} b c \,d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-1350 \sqrt{b d}\, a^{2} b^{2} c^{2} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+960 \sqrt{a c}\, a^{2} b^{2} c \,d^{3} x^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-300 \sqrt{b d}\, a \,b^{3} c^{3} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+960 \sqrt{a c}\, a \,b^{3} c^{2} d^{2} x^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 \sqrt{b d}\, b^{4} c^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+384 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a \,b^{2} c \,d^{2} x^{4}-30 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{3} d^{3} x^{3}-1202 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} b c \,d^{2} x^{3}-1202 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a \,b^{2} c^{2} d \,x^{3}-30 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{3} c^{3} x^{3}-236 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{3} c \,d^{2} x^{2}-904 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} b \,c^{2} d \,x^{2}-236 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a \,b^{2} c^{3} x^{2}-272 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{3} c^{2} d x -272 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} b \,c^{3} x -96 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{3} c^{3}\right)}{384 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a c \,x^{4}}"," ",0,"1/384*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a/c*(15*(b*d)^(1/2)*a^4*d^4*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-300*(b*d)^(1/2)*a^3*b*c*d^3*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-1350*(b*d)^(1/2)*a^2*b^2*c^2*d^2*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-300*(b*d)^(1/2)*a*b^3*c^3*d*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+15*(b*d)^(1/2)*b^4*c^4*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+960*(a*c)^(1/2)*a^2*b^2*c*d^3*x^4*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+960*(a*c)^(1/2)*a*b^3*c^2*d^2*x^4*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+384*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^4*a*b^2*c*d^2-30*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^3*d^3*x^3-1202*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*b*c*d^2*x^3-1202*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*b^2*c^2*d*x^3-30*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*b^3*c^3*x^3-236*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^3*c*d^2*x^2-904*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*b*c^2*d*x^2-236*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a*b^2*c^3*x^2-272*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^3*c^2*d*x-272*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^2*b*c^3*x-96*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^3*c^3)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^4/(b*d)^(1/2)/(a*c)^(1/2)","B"
672,1,1146,350,0.022000," ","int((b*x+a)^(5/2)*(d*x+c)^(5/2)/x^6,x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(45 \sqrt{b d}\, a^{5} d^{5} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-375 \sqrt{b d}\, a^{4} b c \,d^{4} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+2250 \sqrt{b d}\, a^{3} b^{2} c^{2} d^{3} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+2250 \sqrt{b d}\, a^{2} b^{3} c^{3} d^{2} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-3840 \sqrt{a c}\, a^{2} b^{3} c^{2} d^{3} x^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-375 \sqrt{b d}\, a \,b^{4} c^{4} d \,x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+45 \sqrt{b d}\, b^{5} c^{5} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-90 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{4} d^{4} x^{4}+720 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{3} b c \,d^{3} x^{4}+7508 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} b^{2} c^{2} d^{2} x^{4}+720 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a \,b^{3} c^{3} d \,x^{4}-90 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, b^{4} c^{4} x^{4}+60 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{4} c \,d^{3} x^{3}+5156 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{3} b \,c^{2} d^{2} x^{3}+5156 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} b^{2} c^{3} d \,x^{3}+60 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a \,b^{3} c^{4} x^{3}+1488 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{4} c^{2} d^{2} x^{2}+5792 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{3} b \,c^{3} d \,x^{2}+1488 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} b^{2} c^{4} x^{2}+2016 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{4} c^{3} d x +2016 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{3} b \,c^{4} x +768 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{4} c^{4}\right)}{3840 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} c^{2} x^{5}}"," ",0,"-1/3840*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a^2/c^2*(45*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^5*a^5*d^5*(b*d)^(1/2)-375*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^5*a^4*b*c*d^4*(b*d)^(1/2)+2250*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^5*a^3*b^2*c^2*d^3*(b*d)^(1/2)+2250*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^5*a^2*b^3*c^3*d^2*(b*d)^(1/2)-375*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^5*a*b^4*c^4*d*(b*d)^(1/2)+45*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)*x^5*b^5*c^5*(b*d)^(1/2)-3840*ln(1/2*(2*b*d*x+a*d+b*c+2*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^5*a^2*b^3*c^2*d^3*(a*c)^(1/2)-90*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^4*a^4*d^4+720*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^4*a^3*b*c*d^3+7508*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^4*a^2*b^2*c^2*d^2+720*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^4*a*b^3*c^3*d-90*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^4*b^4*c^4+60*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^3*a^4*c*d^3+5156*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^3*a^3*b*c^2*d^2+5156*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^3*a^2*b^2*c^3*d+60*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^3*a*b^3*c^4+1488*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^2*a^4*c^2*d^2+5792*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^2*a^3*b*c^3*d+1488*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x^2*a^2*b^2*c^4+2016*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x*a^4*c^3*d+2016*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*x*a^3*b*c^4+768*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)*a^4*c^4)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^5/(b*d)^(1/2)/(a*c)^(1/2)","B"
673,1,1271,230,0.024000," ","int((b*x+a)^(5/2)*(d*x+c)^(5/2)/x^7,x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(15 a^{6} d^{6} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-90 a^{5} b c \,d^{5} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+225 a^{4} b^{2} c^{2} d^{4} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-300 a^{3} b^{3} c^{3} d^{3} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+225 a^{2} b^{4} c^{4} d^{2} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-90 a \,b^{5} c^{5} d \,x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)+15 b^{6} c^{6} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}}{x}\right)-30 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{5} d^{5} x^{5}+170 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} b c \,d^{4} x^{5}-396 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} c^{2} d^{3} x^{5}-396 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c^{3} d^{2} x^{5}+170 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c^{4} d \,x^{5}-30 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{5} x^{5}+20 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{5} c \,d^{4} x^{4}-112 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} b \,c^{2} d^{3} x^{4}-2376 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} c^{3} d^{2} x^{4}-112 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c^{4} d \,x^{4}+20 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c^{5} x^{4}-16 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{5} c^{2} d^{3} x^{3}-2544 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} b \,c^{3} d^{2} x^{3}-2544 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} c^{4} d \,x^{3}-16 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c^{5} x^{3}-864 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{5} c^{3} d^{2} x^{2}-3392 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} b \,c^{4} d \,x^{2}-864 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} c^{5} x^{2}-1280 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{5} c^{4} d x -1280 \sqrt{a c}\, \sqrt{b d \,x^{2}+a d x +b c x +a c}\, a^{4} b \,c^{5} x -512 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{5} c^{5}\right)}{3072 \sqrt{b d \,x^{2}+a d x +b c x +a c}\, \sqrt{a c}\, a^{3} c^{3} x^{6}}"," ",0,"1/3072*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a^3/c^3*(225*a^2*b^4*c^4*d^2*x^6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-30*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^5*d^5*x^5+15*a^6*d^6*x^6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+15*b^6*c^6*x^6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-512*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*(a*c)^(1/2)*a^5*c^5-30*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*b^5*c^5*x^5-90*a*b^5*c^5*d*x^6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+20*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^5*c*d^4*x^4+20*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^4*c^5*x^4-16*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^5*c^2*d^3*x^3-16*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^3*c^5*x^3-864*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^5*c^3*d^2*x^2-864*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b^2*c^5*x^2-1280*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^5*c^4*d*x-1280*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*b*c^5*x-90*a^5*b*c*d^5*x^6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+225*a^4*b^2*c^2*d^4*x^6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)-300*a^3*b^3*c^3*d^3*x^6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2))/x)+170*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*b*c*d^4*x^5-396*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b^2*c^2*d^3*x^5-396*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^3*c^3*d^2*x^5+170*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a*b^4*c^4*d*x^5-3392*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*b*c^4*d*x^2-112*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*b*c^2*d^3*x^4-2376*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b^2*c^3*d^2*x^4-112*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^2*b^3*c^4*d*x^4-2544*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^4*b*c^3*d^2*x^3-2544*(a*c)^(1/2)*(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)*a^3*b^2*c^4*d*x^3)/(b*d*x^2+a*d*x+b*c*x+a*c)^(1/2)/x^6/(a*c)^(1/2)","B"
674,1,788,270,0.026000," ","int(x^2*(b*x+a)^(5/2)/(d*x+c)^(1/2),x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(768 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{4} d^{4} x^{4}+45 a^{5} d^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+75 a^{4} b c \,d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+450 a^{3} b^{2} c^{2} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-2250 a^{2} b^{3} c^{3} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2625 a \,b^{4} c^{4} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2016 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{3} d^{4} x^{3}-945 b^{5} c^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-864 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{4} c \,d^{3} x^{3}+1488 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{2} d^{4} x^{2}-2368 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{3} c \,d^{3} x^{2}+1008 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{4} c^{2} d^{2} x^{2}+60 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b \,d^{4} x -1924 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{2} c \,d^{3} x +2996 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{3} c^{2} d^{2} x -1260 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{4} c^{3} d x -90 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} d^{4}-180 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b c \,d^{3}+3128 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{2} c^{2} d^{2}-4620 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{3} c^{3} d +1890 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{4} c^{4}\right)}{3840 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} d^{5}}"," ",0,"1/3840*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(768*x^4*b^4*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+2016*x^3*a*b^3*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-864*x^3*b^4*c*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+1488*x^2*a^2*b^2*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-2368*x^2*a*b^3*c*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+1008*x^2*b^4*c^2*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+45*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^5*d^5+75*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^4*b*c*d^4+450*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*b^2*c^2*d^3-2250*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b^3*c^3*d^2+2625*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b^4*c^4*d-945*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*b^5*c^5+60*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a^3*b*d^4-1924*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a^2*b^2*c*d^3+2996*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a*b^3*c^2*d^2-1260*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*b^4*c^3*d-90*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^4*d^4-180*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^3*b*c*d^3+3128*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*b^2*c^2*d^2-4620*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b^3*c^3*d+1890*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^4*c^4)/b^2/d^5/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)","B"
675,1,574,179,0.022000," ","int(x*(b*x+a)^(5/2)/(d*x+c)^(1/2),x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(15 a^{4} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+60 a^{3} b c \,d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-270 a^{2} b^{2} c^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+300 a \,b^{3} c^{3} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-105 b^{4} c^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-96 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} d^{3} x^{3}-272 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} d^{3} x^{2}+112 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} c \,d^{2} x^{2}-236 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b \,d^{3} x +344 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} c \,d^{2} x -140 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} c^{2} d x -30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} d^{3}+382 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b c \,d^{2}-530 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} c^{2} d +210 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{3}\right)}{384 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b \,d^{4}}"," ",0,"-1/384*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(-96*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^3*d^3*x^3-272*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b^2*d^3*x^2+112*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^3*c*d^2*x^2+15*a^4*d^4*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+60*a^3*b*c*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-270*a^2*b^2*c^2*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+300*a*b^3*c^3*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-105*b^4*c^4*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-236*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*b*d^3*x+344*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b^2*c*d^2*x-140*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^3*c^2*d*x-30*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^3*d^3+382*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*b*c*d^2-530*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b^2*c^2*d+210*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^3*c^3)/b/d^4/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)","B"
676,1,465,116,0.001000," ","int((b*x+a)^(5/2)/(d*x+c)^(1/2),x)","\frac{5 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{16 \sqrt{b x +a}\, \sqrt{d x +c}\, \sqrt{b d}}-\frac{15 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b c \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{16 \sqrt{b x +a}\, \sqrt{d x +c}\, \sqrt{b d}\, d}+\frac{15 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c^{2} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{16 \sqrt{b x +a}\, \sqrt{d x +c}\, \sqrt{b d}\, d^{2}}-\frac{5 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{3} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{16 \sqrt{b x +a}\, \sqrt{d x +c}\, \sqrt{b d}\, d^{3}}+\frac{5 \sqrt{b x +a}\, \sqrt{d x +c}\, a^{2}}{8 d}-\frac{5 \sqrt{b x +a}\, \sqrt{d x +c}\, a b c}{4 d^{2}}+\frac{5 \sqrt{b x +a}\, \sqrt{d x +c}\, b^{2} c^{2}}{8 d^{3}}+\frac{5 \left(b x +a \right)^{\frac{3}{2}} \sqrt{d x +c}\, a}{12 d}-\frac{5 \left(b x +a \right)^{\frac{3}{2}} \sqrt{d x +c}\, b c}{12 d^{2}}+\frac{\left(b x +a \right)^{\frac{5}{2}} \sqrt{d x +c}}{3 d}"," ",0,"5/16*((b*x+a)*(d*x+c))^(1/2)/(b*x+a)^(1/2)/(d*x+c)^(1/2)/(b*d)^(1/2)*a^3*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))-15/16*((b*x+a)*(d*x+c))^(1/2)/(b*x+a)^(1/2)/(d*x+c)^(1/2)/(b*d)^(1/2)*a^2*b*c/d*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))+15/16*((b*x+a)*(d*x+c))^(1/2)/(b*x+a)^(1/2)/(d*x+c)^(1/2)/(b*d)^(1/2)*a*b^2*c^2/d^2*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))-5/16*((b*x+a)*(d*x+c))^(1/2)/(b*x+a)^(1/2)/(d*x+c)^(1/2)/(b*d)^(1/2)*b^3*c^3/d^3*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))+5/8*(b*x+a)^(1/2)*(d*x+c)^(1/2)*a^2/d-5/4*(b*x+a)^(1/2)*(d*x+c)^(1/2)*a*b*c/d^2+5/8*(b*x+a)^(1/2)*(d*x+c)^(1/2)*b^2*c^2/d^3+5/12*(b*x+a)^(3/2)*(d*x+c)^(1/2)*a/d-5/12*(b*x+a)^(3/2)*(d*x+c)^(1/2)*b*c/d^2+1/3*(b*x+a)^(5/2)*(d*x+c)^(1/2)/d","B"
677,1,342,133,0.024000," ","int((b*x+a)^(5/2)/x/(d*x+c)^(1/2),x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-8 \sqrt{b d}\, a^{3} d^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 \sqrt{a c}\, a^{2} b \,d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-10 \sqrt{a c}\, a \,b^{2} c d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 \sqrt{a c}\, b^{3} c^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+4 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} d x +18 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a b d -6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} c \right)}{8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, d^{2}}"," ",0,"1/8*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b*d^2*(a*c)^(1/2)-10*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b^2*c*d*(a*c)^(1/2)+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*b^3*c^2*(a*c)^(1/2)-8*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a^3*d^2*(b*d)^(1/2)+4*x*b^2*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+18*a*b*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-6*b^2*c*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/((b*x+a)*(d*x+c))^(1/2)/d^2/(b*d)^(1/2)/(a*c)^(1/2)","B"
678,1,320,130,0.022000," ","int((b*x+a)^(5/2)/x^2/(d*x+c)^(1/2),x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(\sqrt{b d}\, a^{3} d^{2} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-5 \sqrt{b d}\, a^{2} b c d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+5 \sqrt{a c}\, a \,b^{2} c d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-\sqrt{a c}\, b^{3} c^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} c x -2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} d \right)}{2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, c d x}"," ",0,"1/2*(b*x+a)^(1/2)*(d*x+c)^(1/2)/c*(5*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b^2*c*d*(a*c)^(1/2)-ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b^3*c^2*(a*c)^(1/2)+ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^3*d^2*(b*d)^(1/2)-5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^2*b*c*d*(b*d)^(1/2)+2*x*b^2*c*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-2*a^2*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/((b*x+a)*(d*x+c))^(1/2)/x/(b*d)^(1/2)/(a*c)^(1/2)/d","B"
679,1,354,139,0.025000," ","int((b*x+a)^(5/2)/x^3/(d*x+c)^(1/2),x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(-3 \sqrt{b d}\, a^{3} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+10 \sqrt{b d}\, a^{2} b c d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-15 \sqrt{b d}\, a \,b^{2} c^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+8 \sqrt{a c}\, b^{3} c^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} d x -18 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, a b c x -4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} c \right)}{8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, c^{2} x^{2}}"," ",0,"1/8*(b*x+a)^(1/2)*(d*x+c)^(1/2)/c^2*(8*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*b^3*c^2*(a*c)^(1/2)-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^3*d^2*(b*d)^(1/2)+10*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*b*c*d*(b*d)^(1/2)-15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a*b^2*c^2*(b*d)^(1/2)+6*x*a^2*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)-18*x*a*b*c*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)-4*a^2*c*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*(a*c)^(1/2))/((b*x+a)*(d*x+c))^(1/2)/x^2/(b*d)^(1/2)/(a*c)^(1/2)","B"
680,1,405,125,0.024000," ","int((b*x+a)^(5/2)/x^4/(d*x+c)^(1/2),x)","\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(15 a^{3} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-45 a^{2} b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+45 a \,b^{2} c^{2} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-15 b^{3} c^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} d^{2} x^{2}+80 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a b c d \,x^{2}-66 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{2} c^{2} x^{2}+20 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} c d x -52 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a b \,c^{2} x -16 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} c^{2}\right)}{48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, c^{3} x^{3}}"," ",0,"1/48*(b*x+a)^(1/2)*(d*x+c)^(1/2)/c^3*(15*a^3*d^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-45*a^2*b*c*d^2*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+45*a*b^2*c^2*d*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-15*b^3*c^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-30*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*d^2*x^2+80*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b*c*d*x^2-66*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*b^2*c^2*x^2+20*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*c*d*x-52*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b*c^2*x-16*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*c^2)/((b*x+a)*(d*x+c))^(1/2)/x^3/(a*c)^(1/2)","B"
681,1,593,191,0.027000," ","int((b*x+a)^(5/2)/x^5/(d*x+c)^(1/2),x)","-\frac{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(105 a^{4} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-300 a^{3} b c \,d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+270 a^{2} b^{2} c^{2} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-60 a \,b^{3} c^{3} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-15 b^{4} c^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-210 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} d^{3} x^{3}+530 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b c \,d^{2} x^{3}-382 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{2} c^{2} d \,x^{3}+30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{3} c^{3} x^{3}+140 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} c \,d^{2} x^{2}-344 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b \,c^{2} d \,x^{2}+236 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{2} c^{3} x^{2}-112 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} c^{2} d x +272 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b \,c^{3} x +96 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} c^{3}\right)}{384 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,c^{4} x^{4}}"," ",0,"-1/384*(b*x+a)^(1/2)*(d*x+c)^(1/2)/a/c^4*(105*a^4*d^4*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-300*a^3*b*c*d^3*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+270*a^2*b^2*c^2*d^2*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-60*a*b^3*c^3*d*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-15*b^4*c^4*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-210*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^3*d^3*x^3+530*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*b*c*d^2*x^3-382*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b^2*c^2*d*x^3+30*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*b^3*c^3*x^3+140*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^3*c*d^2*x^2-344*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*b*c^2*d*x^2+236*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b^2*c^3*x^2-112*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^3*c^2*d*x+272*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*b*c^3*x+96*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^3*c^3)/((b*x+a)*(d*x+c))^(1/2)/x^4/(a*c)^(1/2)","B"
682,1,961,267,0.031000," ","int(x^2*(b*x+a)^(5/2)/(d*x+c)^(3/2),x)","-\frac{\sqrt{b x +a}\, \left(15 a^{4} d^{5} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+180 a^{3} b c \,d^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-1350 a^{2} b^{2} c^{2} d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2100 a \,b^{3} c^{3} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-945 b^{4} c^{4} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-96 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} d^{4} x^{4}+15 a^{4} c \,d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+180 a^{3} b \,c^{2} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-1350 a^{2} b^{2} c^{3} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2100 a \,b^{3} c^{4} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-272 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} d^{4} x^{3}-945 b^{4} c^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+144 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} c \,d^{3} x^{3}-236 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b \,d^{4} x^{2}+488 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} c \,d^{3} x^{2}-252 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} c^{2} d^{2} x^{2}-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} d^{4} x +674 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b c \,d^{3} x -1274 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} c^{2} d^{2} x +630 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} c^{3} d x -30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} c \,d^{3}+1678 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b \,c^{2} d^{2}-3570 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} c^{3} d +1890 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} c^{4}\right)}{384 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{d x +c}\, b \,d^{5}}"," ",0,"-1/384*(b*x+a)^(1/2)*(-96*x^4*b^3*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-272*x^3*a*b^2*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+144*x^3*b^3*c*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^4*d^5+180*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^3*b*c*d^4-1350*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*b^2*c^2*d^3+2100*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b^3*c^3*d^2-945*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b^4*c^4*d-236*x^2*a^2*b*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+488*x^2*a*b^2*c*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-252*x^2*b^3*c^2*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^4*c*d^4+180*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*b*c^2*d^3-1350*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b^2*c^3*d^2+2100*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b^3*c^4*d-945*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*b^4*c^5-30*x*a^3*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+674*x*a^2*b*c*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-1274*x*a*b^2*c^2*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+630*x*b^3*c^3*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-30*a^3*c*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+1678*a^2*b*c^2*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-3570*a*b^2*c^3*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+1890*b^3*c^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(d*x+c)^(1/2)/b/d^5","B"
683,1,689,182,0.028000," ","int(x*(b*x+a)^(5/2)/(d*x+c)^(3/2),x)","\frac{\sqrt{b x +a}\, \left(15 a^{3} d^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-135 a^{2} b c \,d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+225 a \,b^{2} c^{2} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-105 b^{3} c^{3} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 a^{3} c \,d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-135 a^{2} b \,c^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+225 a \,b^{2} c^{3} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-105 b^{3} c^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+16 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} d^{3} x^{3}+52 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a b \,d^{3} x^{2}-28 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} c \,d^{2} x^{2}+66 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} d^{3} x -136 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a b c \,d^{2} x +70 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} c^{2} d x +162 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} c \,d^{2}-380 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a b \,c^{2} d +210 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} c^{3}\right)}{48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{d x +c}\, d^{4}}"," ",0,"1/48*(b*x+a)^(1/2)*(16*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^2*d^3*x^3+15*a^3*d^4*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-135*a^2*b*c*d^3*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+225*a*b^2*c^2*d^2*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-105*b^3*c^3*d*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+52*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b*d^3*x^2-28*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^2*c*d^2*x^2+15*a^3*c*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-135*a^2*b*c^2*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+225*a*b^2*c^3*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-105*b^3*c^4*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+66*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*d^3*x-136*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b*c*d^2*x+70*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^2*c^2*d*x+162*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*c*d^2-380*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b*c^2*d+210*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^2*c^3)/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(d*x+c)^(1/2)/d^4","B"
684,0,0,108,0.000000," ","int((b*x+a)^(5/2)/(d*x+c)^(3/2),x)","\int \frac{\left(b x +a \right)^{\frac{5}{2}}}{\left(d x +c \right)^{\frac{3}{2}}}\, dx"," ",0,"int((b*x+a)^(5/2)/(d*x+c)^(3/2),x)","F"
685,1,492,131,0.024000," ","int((b*x+a)^(5/2)/x/(d*x+c)^(3/2),x)","\frac{\sqrt{b x +a}\, \left(-2 \sqrt{b d}\, a^{3} d^{3} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+5 \sqrt{a c}\, a \,b^{2} c \,d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 \sqrt{a c}\, b^{3} c^{2} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-2 \sqrt{b d}\, a^{3} c \,d^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+5 \sqrt{a c}\, a \,b^{2} c^{2} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 \sqrt{a c}\, b^{3} c^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2 \sqrt{b d}\, \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c d x +4 \sqrt{b d}\, \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} d^{2}-8 \sqrt{b d}\, \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b c d +6 \sqrt{b d}\, \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{2}\right)}{2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, \sqrt{d x +c}\, c \,d^{2}}"," ",0,"1/2*(b*x+a)^(1/2)*(5*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b^2*c*d^2*(a*c)^(1/2)-3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b^3*c^2*d*(a*c)^(1/2)-2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^3*d^3*(b*d)^(1/2)+5*(a*c)^(1/2)*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b^2*c^2*d-3*(a*c)^(1/2)*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*b^3*c^3-2*(b*d)^(1/2)*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a^3*c*d^2+2*(b*d)^(1/2)*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*b^2*c*d+4*(b*d)^(1/2)*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*d^2-8*(b*d)^(1/2)*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b*c*d+6*(b*d)^(1/2)*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*c^2)/c/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(a*c)^(1/2)/(d*x+c)^(1/2)/d^2","B"
686,1,502,132,0.024000," ","int((b*x+a)^(5/2)/x^2/(d*x+c)^(3/2),x)","\frac{\sqrt{b x +a}\, \left(3 \sqrt{b d}\, a^{3} d^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-5 \sqrt{b d}\, a^{2} b c \,d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+2 \sqrt{a c}\, b^{3} c^{2} d \,x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 \sqrt{b d}\, a^{3} c \,d^{2} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-5 \sqrt{b d}\, a^{2} b \,c^{2} d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+2 \sqrt{a c}\, b^{3} c^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-6 \sqrt{b d}\, \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} d^{2} x +8 \sqrt{b d}\, \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b c d x -4 \sqrt{b d}\, \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{2} x -2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} c d \right)}{2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, \sqrt{d x +c}\, c^{2} d x}"," ",0,"1/2*(b*x+a)^(1/2)*(2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*b^3*c^2*d*(a*c)^(1/2)+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^3*d^3*(b*d)^(1/2)-5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*b*c*d^2*(b*d)^(1/2)+2*(a*c)^(1/2)*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b^3*c^3+3*(b*d)^(1/2)*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^3*c*d^2-5*(b*d)^(1/2)*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^2*b*c^2*d-6*(b*d)^(1/2)*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a^2*d^2+8*(b*d)^(1/2)*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a*b*c*d-4*(b*d)^(1/2)*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*b^2*c^2-2*a^2*c*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*(a*c)^(1/2))/c^2/((b*x+a)*(d*x+c))^(1/2)/x/(b*d)^(1/2)/(a*c)^(1/2)/(d*x+c)^(1/2)/d","B"
687,1,507,122,0.029000," ","int((b*x+a)^(5/2)/x^3/(d*x+c)^(3/2),x)","-\frac{\sqrt{b x +a}\, \left(15 a^{3} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 a^{2} b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a \,b^{2} c^{2} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a^{3} c \,d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 a^{2} b \,c^{2} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a \,b^{2} c^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} d^{2} x^{2}+50 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a b c d \,x^{2}-16 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{2} c^{2} x^{2}-10 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} c d x +18 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a b \,c^{2} x +4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} c^{2}\right)}{8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, \sqrt{d x +c}\, c^{3} x^{2}}"," ",0,"-1/8*(b*x+a)^(1/2)*(15*a^3*d^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-30*a^2*b*c*d^2*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+15*a*b^2*c^2*d*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^3*c*d^2-30*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*b*c^2*d+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a*b^2*c^3-30*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*d^2*x^2+50*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b*c*d*x^2-16*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*b^2*c^2*x^2-10*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*c*d*x+18*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b*c^2*x+4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*c^2)/c^3/((b*x+a)*(d*x+c))^(1/2)/x^2/(a*c)^(1/2)/(d*x+c)^(1/2)","B"
688,1,704,188,0.030000," ","int((b*x+a)^(5/2)/x^4/(d*x+c)^(3/2),x)","\frac{\sqrt{b x +a}\, \left(105 a^{3} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-225 a^{2} b c \,d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+135 a \,b^{2} c^{2} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-15 b^{3} c^{3} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+105 a^{3} c \,d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-225 a^{2} b \,c^{2} d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+135 a \,b^{2} c^{3} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-15 b^{3} c^{4} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-210 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} d^{3} x^{3}+380 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b c \,d^{2} x^{3}-162 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{2} d \,x^{3}-70 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c \,d^{2} x^{2}+136 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{2} d \,x^{2}-66 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{3} x^{2}+28 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c^{2} d x -52 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{3} x -16 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c^{3}\right)}{48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, \sqrt{d x +c}\, c^{4} x^{3}}"," ",0,"1/48*(b*x+a)^(1/2)*(105*a^3*d^4*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-225*a^2*b*c*d^3*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+135*a*b^2*c^2*d^2*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-15*b^3*c^3*d*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+105*a^3*c*d^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-225*a^2*b*c^2*d^2*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+135*a*b^2*c^3*d*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-15*b^3*c^4*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-210*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*d^3*x^3+380*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b*c*d^2*x^3-162*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*c^2*d*x^3-70*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*c*d^2*x^2+136*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b*c^2*d*x^2-66*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*c^3*x^2+28*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*c^2*d*x-52*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b*c^3*x-16*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*c^3)/c^4/((b*x+a)*(d*x+c))^(1/2)/x^3/(a*c)^(1/2)/(d*x+c)^(1/2)","B"
689,1,982,273,0.034000," ","int((b*x+a)^(5/2)/x^5/(d*x+c)^(3/2),x)","-\frac{\sqrt{b x +a}\, \left(945 a^{4} d^{5} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-2100 a^{3} b c \,d^{4} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+1350 a^{2} b^{2} c^{2} d^{3} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-180 a \,b^{3} c^{3} d^{2} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-15 b^{4} c^{4} d \,x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+945 a^{4} c \,d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-2100 a^{3} b \,c^{2} d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+1350 a^{2} b^{2} c^{3} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-180 a \,b^{3} c^{4} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-15 b^{4} c^{5} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-1890 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} d^{4} x^{4}+3570 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b c \,d^{3} x^{4}-1678 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{2} c^{2} d^{2} x^{4}+30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{3} c^{3} d \,x^{4}-630 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} c \,d^{3} x^{3}+1274 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b \,c^{2} d^{2} x^{3}-674 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{2} c^{3} d \,x^{3}+30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{3} c^{4} x^{3}+252 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} c^{2} d^{2} x^{2}-488 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b \,c^{3} d \,x^{2}+236 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{2} c^{4} x^{2}-144 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} c^{3} d x +272 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b \,c^{4} x +96 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} c^{4}\right)}{384 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, \sqrt{d x +c}\, a \,c^{5} x^{4}}"," ",0,"-1/384*(b*x+a)^(1/2)*(945*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^4*d^5-2100*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^3*b*c*d^4+1350*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^2*b^2*c^2*d^3-180*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a*b^3*c^3*d^2-15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*b^4*c^4*d+945*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^4*c*d^4-2100*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^3*b*c^2*d^3+1350*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^2*b^2*c^3*d^2-180*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a*b^3*c^4*d-15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*b^4*c^5-1890*x^4*a^3*d^4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+3570*x^4*a^2*b*c*d^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-1678*x^4*a*b^2*c^2*d^2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+30*x^4*b^3*c^3*d*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-630*x^3*a^3*c*d^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+1274*x^3*a^2*b*c^2*d^2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-674*x^3*a*b^2*c^3*d*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+30*x^3*b^3*c^4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+252*x^2*a^3*c^2*d^2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-488*x^2*a^2*b*c^3*d*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+236*x^2*a*b^2*c^4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-144*x*a^3*c^3*d*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+272*x*a^2*b*c^4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+96*a^3*c^4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2))/c^5/a/((b*x+a)*(d*x+c))^(1/2)/x^4/(a*c)^(1/2)/(d*x+c)^(1/2)","B"
690,1,1366,333,0.036000," ","int(x^3*(b*x+a)^(5/2)/(d*x+c)^(5/2),x)","-\frac{\sqrt{b x +a}\, \left(15 a^{4} d^{6} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+300 a^{3} b c \,d^{5} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3150 a^{2} b^{2} c^{2} d^{4} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+6300 a \,b^{3} c^{3} d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3465 b^{4} c^{4} d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-96 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} d^{5} x^{5}+30 a^{4} c \,d^{5} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+600 a^{3} b \,c^{2} d^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-6300 a^{2} b^{2} c^{3} d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+12600 a \,b^{3} c^{4} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-272 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} d^{5} x^{4}-6930 b^{4} c^{5} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+176 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} c \,d^{4} x^{4}+15 a^{4} c^{2} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+300 a^{3} b \,c^{3} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3150 a^{2} b^{2} c^{4} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-236 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,d^{5} x^{3}+6300 a \,b^{3} c^{5} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+632 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c \,d^{4} x^{3}-3465 b^{4} c^{6} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-396 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{2} d^{3} x^{3}-30 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} d^{5} x^{2}+966 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b c \,d^{4} x^{2}-2322 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c^{2} d^{3} x^{2}+1386 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{3} d^{2} x^{2}-60 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c \,d^{4} x +4944 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,c^{2} d^{3} x -14028 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c^{3} d^{2} x +9240 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{4} d x -30 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c^{2} d^{3}+3486 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,c^{3} d^{2}-10290 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c^{4} d +6930 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{5}\right)}{384 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \left(d x +c \right)^{\frac{3}{2}} b \,d^{6}}"," ",0,"-1/384*(b*x+a)^(1/2)*(15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^4*c^2*d^4+15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^4*d^6+6930*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^3*c^5-30*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^3*c^2*d^3-272*x^4*a*b^2*d^5*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+176*x^4*b^3*c*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-60*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a^3*c*d^4+1386*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*b^3*c^3*d^2+600*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^3*b*c^2*d^4-6300*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*b^2*c^3*d^3+12600*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b^3*c^4*d^2+9240*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*b^3*c^4*d+3486*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*b*c^3*d^2-10290*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b^2*c^4*d+300*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^3*b*c*d^5-3150*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^2*b^2*c^2*d^4+6300*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a*b^3*c^3*d^3-236*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^3*a^2*b*d^5-396*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^3*b^3*c^2*d^3-3465*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*b^4*c^6-30*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*a^3*d^5+30*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^4*c*d^5-96*x^5*b^3*d^5*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-6930*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b^4*c^5*d+300*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*b*c^3*d^3-3150*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b^2*c^4*d^2+6300*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b^3*c^5*d-3465*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*b^4*c^4*d^2+966*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*a^2*b*c*d^4-2322*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*a*b^2*c^2*d^3+4944*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a^2*b*c^2*d^3+632*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^3*a*b^2*c*d^4-14028*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a*b^2*c^3*d^2)/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(d*x+c)^(3/2)/b/d^6","B"
691,1,1002,275,0.029000," ","int(x^2*(b*x+a)^(5/2)/(d*x+c)^(5/2),x)","\frac{\sqrt{b x +a}\, \left(15 a^{3} d^{5} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-225 a^{2} b c \,d^{4} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+525 a \,b^{2} c^{2} d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-315 b^{3} c^{3} d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+30 a^{3} c \,d^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-450 a^{2} b \,c^{2} d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+1050 a \,b^{2} c^{3} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-630 b^{3} c^{4} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+16 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} d^{4} x^{4}+15 a^{3} c^{2} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-225 a^{2} b \,c^{3} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+525 a \,b^{2} c^{4} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+52 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a b \,d^{4} x^{3}-315 b^{3} c^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-36 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} c \,d^{3} x^{3}+66 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} d^{4} x^{2}-192 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b c \,d^{3} x^{2}+126 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{2} d^{2} x^{2}+324 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} c \,d^{3} x -1148 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{2} d^{2} x +840 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{3} d x +226 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} c^{2} d^{2}-840 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{3} d +630 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{4}\right)}{48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \left(d x +c \right)^{\frac{3}{2}} d^{5}}"," ",0,"1/48*(b*x+a)^(1/2)*(16*x^4*b^2*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+15*a^3*d^5*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-225*a^2*b*c*d^4*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+525*a*b^2*c^2*d^3*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-315*b^3*c^3*d^2*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+52*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b*d^4*x^3-36*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^2*c*d^3*x^3+30*a^3*c*d^4*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-450*a^2*b*c^2*d^3*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+1050*a*b^2*c^3*d^2*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-630*b^3*c^4*d*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+66*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*d^4*x^2-192*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b*c*d^3*x^2+126*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*c^2*d^2*x^2+15*a^3*c^2*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-225*a^2*b*c^3*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+525*a*b^2*c^4*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-315*b^3*c^5*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+324*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*c*d^3*x-1148*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b*c^2*d^2*x+840*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*c^3*d*x+226*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*c^2*d^2-840*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b*c^3*d+630*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*c^4)/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(d*x+c)^(3/2)/d^5","B"
692,1,750,184,0.024000," ","int(x*(b*x+a)^(5/2)/(d*x+c)^(5/2),x)","\frac{\sqrt{b x +a}\, \left(45 a^{2} b \,d^{4} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-150 a \,b^{2} c \,d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+105 b^{3} c^{2} d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+90 a^{2} b c \,d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-300 a \,b^{2} c^{2} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+210 b^{3} c^{3} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+45 a^{2} b \,c^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-150 a \,b^{2} c^{3} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+105 b^{3} c^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+12 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} d^{3} x^{3}+54 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a b \,d^{3} x^{2}-42 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} c \,d^{2} x^{2}-48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} d^{3} x +316 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a b c \,d^{2} x -280 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} c^{2} d x -32 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} c \,d^{2}+230 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a b \,c^{2} d -210 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} c^{3}\right)}{24 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \left(d x +c \right)^{\frac{3}{2}} d^{4}}"," ",0,"1/24*(b*x+a)^(1/2)*(45*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^2*b*d^4-150*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a*b^2*c*d^3+105*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*b^3*c^2*d^2+12*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^2*d^3*x^3+90*a^2*b*c*d^3*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-300*a*b^2*c^2*d^2*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+210*b^3*c^3*d*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+54*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b*d^3*x^2-42*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^2*c*d^2*x^2+45*a^2*b*c^2*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-150*a*b^2*c^3*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+105*b^3*c^4*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-48*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*d^3*x+316*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b*c*d^2*x-280*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^2*c^2*d*x-32*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*c*d^2+230*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b*c^2*d-210*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^2*c^3)/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(d*x+c)^(3/2)/d^4","B"
693,0,0,100,0.000000," ","int((b*x+a)^(5/2)/(d*x+c)^(5/2),x)","\int \frac{\left(b x +a \right)^{\frac{5}{2}}}{\left(d x +c \right)^{\frac{5}{2}}}\, dx"," ",0,"int((b*x+a)^(5/2)/(d*x+c)^(5/2),x)","F"
694,1,566,123,0.025000," ","int((b*x+a)^(5/2)/x/(d*x+c)^(5/2),x)","\frac{\sqrt{b x +a}\, \left(-3 \sqrt{b d}\, a^{3} d^{4} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 \sqrt{a c}\, b^{3} c^{2} d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-6 \sqrt{b d}\, a^{3} c \,d^{3} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+6 \sqrt{a c}\, b^{3} c^{3} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 \sqrt{b d}\, a^{3} c^{2} d^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 \sqrt{a c}\, b^{3} c^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} d^{3} x +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, a b c \,d^{2} x -8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} c^{2} d x +8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} c \,d^{2}-2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, a b \,c^{2} d -6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, b^{2} c^{3}\right)}{3 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, \left(d x +c \right)^{\frac{3}{2}} c^{2} d^{2}}"," ",0,"1/3*(b*x+a)^(1/2)*(3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*b^3*c^2*d^2*(a*c)^(1/2)-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^3*d^4*(b*d)^(1/2)+6*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b^3*c^3*d*(a*c)^(1/2)-6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^3*c*d^3*(b*d)^(1/2)+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*b^3*c^4*(a*c)^(1/2)-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a^3*c^2*d^2*(b*d)^(1/2)+6*x*a^2*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)+2*x*a*b*c*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)-8*x*b^2*c^2*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)+8*a^2*c*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)-2*a*b*c^2*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)-6*b^2*c^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*(a*c)^(1/2))/c^2/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(a*c)^(1/2)/(d*x+c)^(3/2)/d^2","B"
695,1,502,116,0.026000," ","int((b*x+a)^(5/2)/x^2/(d*x+c)^(5/2),x)","\frac{\sqrt{b x +a}\, \left(15 a^{3} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-15 a^{2} b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+30 a^{3} c \,d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 a^{2} b \,c^{2} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a^{3} c^{2} d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-15 a^{2} b \,c^{3} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} d^{2} x^{2}+20 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a b c d \,x^{2}+4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{2} c^{2} x^{2}-40 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} c d x +28 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a b \,c^{2} x -6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} c^{2}\right)}{6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, \left(d x +c \right)^{\frac{3}{2}} c^{3} x}"," ",0,"1/6*(b*x+a)^(1/2)*(15*a^3*d^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-15*a^2*b*c*d^2*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+30*a^3*c*d^2*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-30*a^2*b*c^2*d*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^3*c^2*d-15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^2*b*c^3-30*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*d^2*x^2+20*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b*c*d*x^2+4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*b^2*c^2*x^2-40*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*c*d*x+28*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b*c^2*x-6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*c^2)/c^3/((b*x+a)*(d*x+c))^(1/2)/x/(a*c)^(1/2)/(d*x+c)^(3/2)","B"
696,1,758,182,0.031000," ","int((b*x+a)^(5/2)/x^3/(d*x+c)^(5/2),x)","-\frac{\sqrt{b x +a}\, \left(105 a^{3} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-150 a^{2} b c \,d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+45 a \,b^{2} c^{2} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+210 a^{3} c \,d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-300 a^{2} b \,c^{2} d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+90 a \,b^{2} c^{3} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+105 a^{3} c^{2} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-150 a^{2} b \,c^{3} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+45 a \,b^{2} c^{4} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-210 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} d^{3} x^{3}+230 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b c \,d^{2} x^{3}-32 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{2} d \,x^{3}-280 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c \,d^{2} x^{2}+316 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{2} d \,x^{2}-48 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{3} x^{2}-42 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c^{2} d x +54 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{3} x +12 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c^{3}\right)}{24 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, \left(d x +c \right)^{\frac{3}{2}} c^{4} x^{2}}"," ",0,"-1/24*(b*x+a)^(1/2)*(105*a^3*d^4*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-150*a^2*b*c*d^3*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+45*a*b^2*c^2*d^2*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+210*a^3*c*d^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-300*a^2*b*c^2*d^2*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+90*a*b^2*c^3*d*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^3*c^2*d^2-150*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*b*c^3*d+45*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a*b^2*c^4-210*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*d^3*x^3+230*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b*c*d^2*x^3-32*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*c^2*d*x^3-280*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*c*d^2*x^2+316*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b*c^2*d*x^2-48*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*c^3*x^2-42*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*c^2*d*x+54*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b*c^3*x+12*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*c^3)/c^4/((b*x+a)*(d*x+c))^(1/2)/x^2/(a*c)^(1/2)/(d*x+c)^(3/2)","B"
697,1,1009,234,0.034000," ","int((b*x+a)^(5/2)/x^4/(d*x+c)^(5/2),x)","\frac{\sqrt{b x +a}\, \left(315 a^{3} d^{5} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-525 a^{2} b c \,d^{4} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+225 a \,b^{2} c^{2} d^{3} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-15 b^{3} c^{3} d^{2} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+630 a^{3} c \,d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-1050 a^{2} b \,c^{2} d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+450 a \,b^{2} c^{3} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 b^{3} c^{4} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+315 a^{3} c^{2} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-525 a^{2} b \,c^{3} d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+225 a \,b^{2} c^{4} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-15 b^{3} c^{5} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-630 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} d^{4} x^{4}+840 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b c \,d^{3} x^{4}-226 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{2} d^{2} x^{4}-840 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c \,d^{3} x^{3}+1148 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{2} d^{2} x^{3}-324 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{3} d \,x^{3}-126 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c^{2} d^{2} x^{2}+192 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{3} d \,x^{2}-66 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{4} x^{2}+36 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c^{3} d x -52 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{4} x -16 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c^{4}\right)}{48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, \left(d x +c \right)^{\frac{3}{2}} c^{5} x^{3}}"," ",0,"1/48*(b*x+a)^(1/2)*(315*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^3*d^5-525*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^2*b*c*d^4+225*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a*b^2*c^2*d^3-15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*b^3*c^3*d^2+630*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^3*c*d^4-1050*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^2*b*c^2*d^3+450*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a*b^2*c^3*d^2-30*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*b^3*c^4*d+315*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^3*c^2*d^3-525*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^2*b*c^3*d^2+225*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a*b^2*c^4*d-15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*b^3*c^5-630*x^4*a^2*d^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+840*x^4*a*b*c*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-226*x^4*b^2*c^2*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-840*x^3*a^2*c*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+1148*x^3*a*b*c^2*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-324*x^3*b^2*c^3*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-126*x^2*a^2*c^2*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+192*x^2*a*b*c^3*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-66*x^2*b^2*c^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+36*x*a^2*c^3*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-52*x*a*b*c^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-16*a^2*c^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/c^5/((b*x+a)*(d*x+c))^(1/2)/x^3/(a*c)^(1/2)/(d*x+c)^(3/2)","B"
698,1,1377,338,0.037000," ","int((b*x+a)^(5/2)/x^5/(d*x+c)^(5/2),x)","-\frac{\sqrt{b x +a}\, \left(3465 a^{4} d^{6} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6300 a^{3} b c \,d^{5} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3150 a^{2} b^{2} c^{2} d^{4} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-300 a \,b^{3} c^{3} d^{3} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-15 b^{4} c^{4} d^{2} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+6930 a^{4} c \,d^{5} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-12600 a^{3} b \,c^{2} d^{4} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+6300 a^{2} b^{2} c^{3} d^{3} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-600 a \,b^{3} c^{4} d^{2} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 b^{4} c^{5} d \,x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3465 a^{4} c^{2} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6300 a^{3} b \,c^{3} d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3150 a^{2} b^{2} c^{4} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-300 a \,b^{3} c^{5} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-15 b^{4} c^{6} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6930 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} d^{5} x^{5}+10290 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b c \,d^{4} x^{5}-3486 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c^{2} d^{3} x^{5}+30 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{3} d^{2} x^{5}-9240 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c \,d^{4} x^{4}+14028 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,c^{2} d^{3} x^{4}-4944 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c^{3} d^{2} x^{4}+60 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{4} d \,x^{4}-1386 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c^{2} d^{3} x^{3}+2322 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,c^{3} d^{2} x^{3}-966 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c^{4} d \,x^{3}+30 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{5} x^{3}+396 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c^{3} d^{2} x^{2}-632 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,c^{4} d \,x^{2}+236 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c^{5} x^{2}-176 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c^{4} d x +272 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,c^{5} x +96 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c^{5}\right)}{384 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, \left(d x +c \right)^{\frac{3}{2}} a \,c^{6} x^{4}}"," ",0,"-1/384*(b*x+a)^(1/2)*(-15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*b^4*c^6+96*a^3*c^5*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+3465*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^6*a^4*d^6-6930*x^5*a^3*d^5*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-1386*x^3*a^3*c^2*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+396*x^2*a^3*c^3*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+236*x^2*a*b^2*c^5*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-176*x*a^3*c^4*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+272*x*a^2*b*c^5*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-6300*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^6*a^3*b*c*d^5+3150*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^6*a^2*b^2*c^2*d^4-300*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^6*a*b^3*c^3*d^3-12600*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^3*b*c^2*d^4+6300*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^2*b^2*c^3*d^3-600*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a*b^3*c^4*d^2-6300*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^3*b*c^3*d^3+3150*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^2*b^2*c^4*d^2-300*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a*b^3*c^5*d+30*x^5*b^3*c^3*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-9240*x^4*a^3*c*d^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+60*x^4*b^3*c^4*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+30*x^3*b^3*c^5*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^6*b^4*c^4*d^2+6930*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^4*c*d^5-30*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*b^4*c^5*d+3465*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^4*c^2*d^4+14028*x^4*a^2*b*c^2*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-4944*x^4*a*b^2*c^3*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+2322*x^3*a^2*b*c^3*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-966*x^3*a*b^2*c^4*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-632*x^2*a^2*b*c^4*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+10290*x^5*a^2*b*c*d^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-3486*x^5*a*b^2*c^2*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/c^6/a/((b*x+a)*(d*x+c))^(1/2)/x^4/(a*c)^(1/2)/(d*x+c)^(3/2)","B"
699,1,395,159,0.023000," ","int(x^2*(d*x+c)^(1/2)/(b*x+a)^(1/2),x)","-\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(15 a^{3} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-9 a^{2} b c \,d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 a \,b^{2} c^{2} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 b^{3} c^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-16 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} d^{2} x^{2}+20 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,d^{2} x -4 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c d x -30 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} d^{2}+8 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b c d +6 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{2}\right)}{48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} d^{2}}"," ",0,"-1/48*(d*x+c)^(1/2)*(b*x+a)^(1/2)*(-16*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*d^2*x^2+15*a^3*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-9*a^2*b*c*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-3*a*b^2*c^2*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-3*b^3*c^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+20*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b*d^2*x-4*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*c*d*x-30*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*d^2+8*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b*c*d+6*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*c^2)/b^3/((b*x+a)*(d*x+c))^(1/2)/d^2/(b*d)^(1/2)","B"
700,1,251,99,0.015000," ","int(x*(d*x+c)^(1/2)/(b*x+a)^(1/2),x)","\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(3 a^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-2 a b c d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-b^{2} c^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+4 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b d x -6 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a d +2 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b c \right)}{8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} d}"," ",0,"1/8*(d*x+c)^(1/2)*(b*x+a)^(1/2)*(3*a^2*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-2*a*b*c*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-b^2*c^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+4*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b*d*x-6*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*d+2*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b*c)/((b*x+a)*(d*x+c))^(1/2)/b^2/d/(b*d)^(1/2)","B"
701,1,107,56,0.006000," ","int((d*x+c)^(1/2)/(b*x+a)^(1/2),x)","-\frac{\left(a d -b c \right) \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{2 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, b}+\frac{\sqrt{b x +a}\, \sqrt{d x +c}}{b}"," ",0,"(b*x+a)^(1/2)*(d*x+c)^(1/2)/b-1/2*(a*d-b*c)/b*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)","A"
702,1,133,61,0.020000," ","int((d*x+c)^(1/2)/x/(b*x+a)^(1/2),x)","\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(-\sqrt{b d}\, c \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+\sqrt{a c}\, d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)\right)}{\sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}}"," ",0,"(d*x+c)^(1/2)*(b*x+a)^(1/2)*(ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*d*(a*c)^(1/2)-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*c*(b*d)^(1/2))/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(a*c)^(1/2)","B"
703,1,147,60,0.021000," ","int((d*x+c)^(1/2)/x^2/(b*x+a)^(1/2),x)","-\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(a d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-b c x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\right)}{2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a x}"," ",0,"-1/2*(d*x+c)^(1/2)*(b*x+a)^(1/2)/a*(a*d*x*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-b*c*x*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/((b*x+a)*(d*x+c))^(1/2)/x/(a*c)^(1/2)","B"
704,1,257,105,0.021000," ","int((d*x+c)^(1/2)/x^3/(b*x+a)^(1/2),x)","\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(a^{2} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+2 a b c d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3 b^{2} c^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a d x +6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b c x -4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a c \right)}{8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} c \,x^{2}}"," ",0,"1/8*(d*x+c)^(1/2)*(b*x+a)^(1/2)/a^2/c*(a^2*d^2*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+2*a*b*c*d*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-3*b^2*c^2*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*d*x+6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*b*c*x-4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*c)/((b*x+a)*(d*x+c))^(1/2)/x^2/(a*c)^(1/2)","B"
705,1,408,159,0.026000," ","int((d*x+c)^(1/2)/x^4/(b*x+a)^(1/2),x)","-\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(3 a^{3} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 a^{2} b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+9 a \,b^{2} c^{2} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-15 b^{3} c^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} d^{2} x^{2}-8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a b c d \,x^{2}+30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{2} c^{2} x^{2}+4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} c d x -20 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a b \,c^{2} x +16 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} c^{2}\right)}{48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} c^{2} x^{3}}"," ",0,"-1/48*(d*x+c)^(1/2)*(b*x+a)^(1/2)/a^3/c^2*(3*a^3*d^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+3*a^2*b*c*d^2*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+9*a*b^2*c^2*d*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-15*b^3*c^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*d^2*x^2-8*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b*c*d*x^2+30*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*b^2*c^2*x^2+4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*c*d*x-20*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b*c^2*x+16*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*c^2)/((b*x+a)*(d*x+c))^(1/2)/x^3/(a*c)^(1/2)","B"
706,1,574,216,0.022000," ","int(x^2*(d*x+c)^(3/2)/(b*x+a)^(1/2),x)","\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(105 a^{4} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-180 a^{3} b c \,d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+54 a^{2} b^{2} c^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+12 a \,b^{3} c^{3} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+9 b^{4} c^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+96 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} d^{3} x^{3}-112 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} d^{3} x^{2}+144 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} c \,d^{2} x^{2}+140 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b \,d^{3} x -184 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} c \,d^{2} x +12 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} c^{2} d x -210 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} d^{3}+290 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b c \,d^{2}-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} c^{2} d -18 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{3}\right)}{384 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{4} d^{2}}"," ",0,"1/384*(d*x+c)^(1/2)*(b*x+a)^(1/2)*(96*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^3*d^3*x^3-112*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b^2*d^3*x^2+144*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^3*c*d^2*x^2+105*a^4*d^4*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-180*a^3*b*c*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+54*a^2*b^2*c^2*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+12*a*b^3*c^3*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+9*b^4*c^4*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+140*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*b*d^3*x-184*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b^2*c*d^2*x+12*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^3*c^2*d*x-210*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^3*d^3+290*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*b*c*d^2-30*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b^2*c^2*d-18*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^3*c^3)/b^4/d^2/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)","B"
707,1,395,139,0.021000," ","int(x*(d*x+c)^(3/2)/(b*x+a)^(1/2),x)","-\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(15 a^{3} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-27 a^{2} b c \,d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+9 a \,b^{2} c^{2} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 b^{3} c^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-16 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} d^{2} x^{2}+20 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,d^{2} x -28 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c d x -30 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} d^{2}+44 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b c d -6 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{2}\right)}{48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} d}"," ",0,"-1/48*(d*x+c)^(1/2)*(b*x+a)^(1/2)*(-16*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*d^2*x^2+15*a^3*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-27*a^2*b*c*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+9*a*b^2*c^2*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+3*b^3*c^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+20*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b*d^2*x-28*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*c*d*x-30*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*d^2+44*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b*c*d-6*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*c^2)/b^3/d/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)","B"
708,1,308,87,0.000000," ","int((d*x+c)^(3/2)/(b*x+a)^(1/2),x)","\frac{3 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} d^{2} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{8 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, b^{2}}-\frac{3 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a c d \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{4 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, b}+\frac{3 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, c^{2} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{8 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}}-\frac{3 \sqrt{d x +c}\, \sqrt{b x +a}\, a d}{4 b^{2}}+\frac{3 \sqrt{d x +c}\, \sqrt{b x +a}\, c}{4 b}+\frac{\left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}}{2 b}"," ",0,"3/8*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(b*d)^(1/2)*a^2/b^2*d^2*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))-3/4*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(b*d)^(1/2)*a/b*c*d*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))+3/8*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(b*d)^(1/2)*c^2*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))-3/4*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a/b^2*d+3/4*(d*x+c)^(1/2)*(b*x+a)^(1/2)/b*c+1/2*(d*x+c)^(3/2)*(b*x+a)^(1/2)/b","B"
709,1,219,88,0.021000," ","int((d*x+c)^(3/2)/x/(b*x+a)^(1/2),x)","-\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(\sqrt{a c}\, a \,d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2 \sqrt{b d}\, b \,c^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3 \sqrt{a c}\, b c d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, d \right)}{2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, b}"," ",0,"-1/2*(d*x+c)^(1/2)*(b*x+a)^(1/2)*(ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*d^2*(a*c)^(1/2)-3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*b*c*d*(a*c)^(1/2)+2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*b*c^2*(b*d)^(1/2)-2*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*(a*c)^(1/2))/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(a*c)^(1/2)/b","B"
710,1,223,91,0.023000," ","int((d*x+c)^(3/2)/x^2/(b*x+a)^(1/2),x)","\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(-3 \sqrt{b d}\, a c d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+2 \sqrt{a c}\, a \,d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+\sqrt{b d}\, b \,c^{2} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, c \right)}{2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, a x}"," ",0,"1/2*(d*x+c)^(1/2)*(b*x+a)^(1/2)/a*(2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*d^2*(a*c)^(1/2)-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a*c*d*(b*d)^(1/2)+ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*b*c^2*(b*d)^(1/2)-2*c*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*(a*c)^(1/2))/((b*x+a)*(d*x+c))^(1/2)/x/(b*d)^(1/2)/(a*c)^(1/2)","B"
711,1,255,93,0.023000," ","int((d*x+c)^(3/2)/x^3/(b*x+a)^(1/2),x)","-\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(3 a^{2} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 a b c d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 b^{2} c^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+10 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a d x -6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b c x +4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a c \right)}{8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} x^{2}}"," ",0,"-1/8*(d*x+c)^(1/2)*(b*x+a)^(1/2)/a^2*(3*a^2*d^2*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-6*a*b*c*d*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+3*b^2*c^2*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+10*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*d*x-6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*b*c*x+4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*c)/((b*x+a)*(d*x+c))^(1/2)/x^2/(a*c)^(1/2)","B"
712,1,408,148,0.026000," ","int((d*x+c)^(3/2)/x^4/(b*x+a)^(1/2),x)","\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(3 a^{3} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+9 a^{2} b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-27 a \,b^{2} c^{2} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 b^{3} c^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} d^{2} x^{2}+44 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a b c d \,x^{2}-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{2} c^{2} x^{2}-28 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} c d x +20 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a b \,c^{2} x -16 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} c^{2}\right)}{48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} c \,x^{3}}"," ",0,"1/48*(d*x+c)^(1/2)*(b*x+a)^(1/2)/a^3/c*(3*a^3*d^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+9*a^2*b*c*d^2*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-27*a*b^2*c^2*d*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+15*b^3*c^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*d^2*x^2+44*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b*c*d*x^2-30*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*b^2*c^2*x^2-28*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*c*d*x+20*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b*c^2*x-16*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*c^2)/((b*x+a)*(d*x+c))^(1/2)/x^3/(a*c)^(1/2)","B"
713,1,593,228,0.028000," ","int((d*x+c)^(3/2)/x^5/(b*x+a)^(1/2),x)","-\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(9 a^{4} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+12 a^{3} b c \,d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+54 a^{2} b^{2} c^{2} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-180 a \,b^{3} c^{3} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+105 b^{4} c^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-18 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} d^{3} x^{3}-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b c \,d^{2} x^{3}+290 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{2} c^{2} d \,x^{3}-210 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{3} c^{3} x^{3}+12 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} c \,d^{2} x^{2}-184 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b \,c^{2} d \,x^{2}+140 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{2} c^{3} x^{2}+144 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} c^{2} d x -112 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b \,c^{3} x +96 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} c^{3}\right)}{384 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} c^{2} x^{4}}"," ",0,"-1/384*(d*x+c)^(1/2)*(b*x+a)^(1/2)/a^4/c^2*(9*a^4*d^4*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+12*a^3*b*c*d^3*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+54*a^2*b^2*c^2*d^2*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-180*a*b^3*c^3*d*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+105*b^4*c^4*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-18*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^3*d^3*x^3-30*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*b*c*d^2*x^3+290*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b^2*c^2*d*x^3-210*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*b^3*c^3*x^3+12*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^3*c*d^2*x^2-184*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*b*c^2*d*x^2+140*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b^2*c^3*x^2+144*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^3*c^2*d*x-112*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*b*c^3*x+96*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^3*c^3)/((b*x+a)*(d*x+c))^(1/2)/x^4/(a*c)^(1/2)","B"
714,1,788,270,0.024000," ","int(x^2*(d*x+c)^(5/2)/(b*x+a)^(1/2),x)","-\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(-768 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{4} d^{4} x^{4}+945 a^{5} d^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-2625 a^{4} b c \,d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2250 a^{3} b^{2} c^{2} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-450 a^{2} b^{3} c^{3} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-75 a \,b^{4} c^{4} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+864 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{3} d^{4} x^{3}-45 b^{5} c^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-2016 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{4} c \,d^{3} x^{3}-1008 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{2} d^{4} x^{2}+2368 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{3} c \,d^{3} x^{2}-1488 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{4} c^{2} d^{2} x^{2}+1260 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b \,d^{4} x -2996 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{2} c \,d^{3} x +1924 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{3} c^{2} d^{2} x -60 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{4} c^{3} d x -1890 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} d^{4}+4620 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b c \,d^{3}-3128 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{2} c^{2} d^{2}+180 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{3} c^{3} d +90 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{4} c^{4}\right)}{3840 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{5} d^{2}}"," ",0,"-1/3840*(d*x+c)^(1/2)*(b*x+a)^(1/2)*(-768*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^4*d^4*x^4+864*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b^3*d^4*x^3-2016*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^4*c*d^3*x^3-1008*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*b^2*d^4*x^2+2368*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b^3*c*d^3*x^2-1488*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^4*c^2*d^2*x^2+945*a^5*d^5*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-2625*a^4*b*c*d^4*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+2250*a^3*b^2*c^2*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-450*a^2*b^3*c^3*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-75*a*b^4*c^4*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-45*b^5*c^5*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+1260*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^3*b*d^4*x-2996*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*b^2*c*d^3*x+1924*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b^3*c^2*d^2*x-60*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^4*c^3*d*x-1890*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^4*d^4+4620*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^3*b*c*d^3-3128*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*b^2*c^2*d^2+180*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b^3*c^3*d+90*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^4*c^4)/b^5/d^2/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)","B"
715,1,574,179,0.022000," ","int(x*(d*x+c)^(5/2)/(b*x+a)^(1/2),x)","\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(105 a^{4} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-300 a^{3} b c \,d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+270 a^{2} b^{2} c^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-60 a \,b^{3} c^{3} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 b^{4} c^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+96 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} d^{3} x^{3}-112 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} d^{3} x^{2}+272 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} c \,d^{2} x^{2}+140 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b \,d^{3} x -344 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} c \,d^{2} x +236 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} c^{2} d x -210 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} d^{3}+530 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b c \,d^{2}-382 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} c^{2} d +30 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{3}\right)}{384 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{4} d}"," ",0,"1/384*(d*x+c)^(1/2)*(b*x+a)^(1/2)*(96*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^3*d^3*x^3-112*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b^2*d^3*x^2+272*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^3*c*d^2*x^2+105*a^4*d^4*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-300*a^3*b*c*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+270*a^2*b^2*c^2*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-60*a*b^3*c^3*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-15*b^4*c^4*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+140*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*b*d^3*x-344*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b^2*c*d^2*x+236*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^3*c^2*d*x-210*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^3*d^3+530*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*b*c*d^2-382*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b^2*c^2*d+30*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^3*c^3)/b^4/d/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)","B"
716,1,465,116,0.005000," ","int((d*x+c)^(5/2)/(b*x+a)^(1/2),x)","-\frac{5 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} d^{3} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{16 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, b^{3}}+\frac{15 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c \,d^{2} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{16 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, b^{2}}-\frac{15 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,c^{2} d \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{16 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, b}+\frac{5 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, c^{3} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{16 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}}+\frac{5 \sqrt{d x +c}\, \sqrt{b x +a}\, a^{2} d^{2}}{8 b^{3}}-\frac{5 \sqrt{d x +c}\, \sqrt{b x +a}\, a c d}{4 b^{2}}+\frac{5 \sqrt{d x +c}\, \sqrt{b x +a}\, c^{2}}{8 b}-\frac{5 \left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, a d}{12 b^{2}}+\frac{5 \left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, c}{12 b}+\frac{\left(d x +c \right)^{\frac{5}{2}} \sqrt{b x +a}}{3 b}"," ",0,"1/3*(d*x+c)^(5/2)*(b*x+a)^(1/2)/b-5/12/b^2*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a*d+5/12/b*(d*x+c)^(3/2)*(b*x+a)^(1/2)*c+5/8/b^3*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^2*d^2-5/4/b^2*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a*d*c+5/8/b*(d*x+c)^(1/2)*(b*x+a)^(1/2)*c^2-5/16/b^3*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*a^3*d^3+15/16/b^2*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*a^2*d^2*c-15/16/b*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*a*d*c^2+5/16*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)*c^3","B"
717,1,342,133,0.023000," ","int((d*x+c)^(5/2)/x/(b*x+a)^(1/2),x)","\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(3 \sqrt{a c}\, a^{2} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-10 \sqrt{a c}\, a b c \,d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-8 \sqrt{b d}\, b^{2} c^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 \sqrt{a c}\, b^{2} c^{2} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+4 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b \,d^{2} x -6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,d^{2}+18 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b c d \right)}{8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, b^{2}}"," ",0,"1/8*(d*x+c)^(1/2)*(b*x+a)^(1/2)*(3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*d^3*(a*c)^(1/2)-10*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b*c*d^2*(a*c)^(1/2)+15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*b^2*c^2*d*(a*c)^(1/2)-8*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*b^2*c^3*(b*d)^(1/2)+4*x*b*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-6*a*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+18*b*c*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/((b*x+a)*(d*x+c))^(1/2)/b^2/(b*d)^(1/2)/(a*c)^(1/2)","B"
718,1,320,128,0.022000," ","int((d*x+c)^(5/2)/x^2/(b*x+a)^(1/2),x)","-\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(\sqrt{a c}\, a^{2} d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+5 \sqrt{b d}\, a b \,c^{2} d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-5 \sqrt{a c}\, a b c \,d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-\sqrt{b d}\, b^{2} c^{3} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,d^{2} x +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b \,c^{2}\right)}{2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, a b x}"," ",0,"-1/2*(d*x+c)^(1/2)*(b*x+a)^(1/2)/a*(ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*d^3*(a*c)^(1/2)-5*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b*c*d^2*(a*c)^(1/2)+5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a*b*c^2*d*(b*d)^(1/2)-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*b^2*c^3*(b*d)^(1/2)-2*x*a*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+2*b*c^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/((b*x+a)*(d*x+c))^(1/2)/x/(b*d)^(1/2)/(a*c)^(1/2)/b","B"
719,1,354,139,0.023000," ","int((d*x+c)^(5/2)/x^3/(b*x+a)^(1/2),x)","\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(-15 \sqrt{b d}\, a^{2} c \,d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+8 \sqrt{a c}\, a^{2} d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+10 \sqrt{b d}\, a b \,c^{2} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3 \sqrt{b d}\, b^{2} c^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-18 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, a c d x +6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, b \,c^{2} x -4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, a \,c^{2}\right)}{8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} x^{2}}"," ",0,"1/8*(d*x+c)^(1/2)*(b*x+a)^(1/2)/a^2*(8*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^2*d^3*(a*c)^(1/2)-15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*c*d^2*(b*d)^(1/2)+10*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a*b*c^2*d*(b*d)^(1/2)-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*b^2*c^3*(b*d)^(1/2)-18*x*a*c*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)+6*x*b*c^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)-4*a*c^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*(a*c)^(1/2))/((b*x+a)*(d*x+c))^(1/2)/x^2/(b*d)^(1/2)/(a*c)^(1/2)","B"
720,1,405,125,0.024000," ","int((d*x+c)^(5/2)/x^4/(b*x+a)^(1/2),x)","-\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(15 a^{3} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-45 a^{2} b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+45 a \,b^{2} c^{2} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-15 b^{3} c^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+66 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} d^{2} x^{2}-80 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a b c d \,x^{2}+30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{2} c^{2} x^{2}+52 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} c d x -20 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a b \,c^{2} x +16 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} c^{2}\right)}{48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} x^{3}}"," ",0,"-1/48*(d*x+c)^(1/2)*(b*x+a)^(1/2)/a^3*(15*a^3*d^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-45*a^2*b*c*d^2*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+45*a*b^2*c^2*d*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-15*b^3*c^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+66*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*d^2*x^2-80*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b*c*d*x^2+30*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*b^2*c^2*x^2+52*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*c*d*x-20*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b*c^2*x+16*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*c^2)/((b*x+a)*(d*x+c))^(1/2)/x^3/(a*c)^(1/2)","B"
721,1,593,191,0.029000," ","int((d*x+c)^(5/2)/x^5/(b*x+a)^(1/2),x)","\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(15 a^{4} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+60 a^{3} b c \,d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-270 a^{2} b^{2} c^{2} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+300 a \,b^{3} c^{3} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-105 b^{4} c^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} d^{3} x^{3}+382 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b c \,d^{2} x^{3}-530 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{2} c^{2} d \,x^{3}+210 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{3} c^{3} x^{3}-236 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} c \,d^{2} x^{2}+344 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b \,c^{2} d \,x^{2}-140 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{2} c^{3} x^{2}-272 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} c^{2} d x +112 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b \,c^{3} x -96 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} c^{3}\right)}{384 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} c \,x^{4}}"," ",0,"1/384*(d*x+c)^(1/2)*(b*x+a)^(1/2)/a^4/c*(15*a^4*d^4*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+60*a^3*b*c*d^3*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-270*a^2*b^2*c^2*d^2*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+300*a*b^3*c^3*d*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-105*b^4*c^4*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-30*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^3*d^3*x^3+382*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*b*c*d^2*x^3-530*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b^2*c^2*d*x^3+210*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*b^3*c^3*x^3-236*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^3*c*d^2*x^2+344*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*b*c^2*d*x^2-140*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b^2*c^3*x^2-272*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^3*c^2*d*x+112*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*b*c^3*x-96*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^3*c^3)/((b*x+a)*(d*x+c))^(1/2)/x^4/(a*c)^(1/2)","B"
722,1,813,302,0.029000," ","int((d*x+c)^(5/2)/x^6/(b*x+a)^(1/2),x)","-\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \left(45 a^{5} d^{5} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+75 a^{4} b c \,d^{4} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+450 a^{3} b^{2} c^{2} d^{3} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-2250 a^{2} b^{3} c^{3} d^{2} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+2625 a \,b^{4} c^{4} d \,x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-945 b^{5} c^{5} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-90 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} d^{4} x^{4}-180 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} b c \,d^{3} x^{4}+3128 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b^{2} c^{2} d^{2} x^{4}-4620 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{3} c^{3} d \,x^{4}+1890 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{4} c^{4} x^{4}+60 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} c \,d^{3} x^{3}-1924 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} b \,c^{2} d^{2} x^{3}+2996 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b^{2} c^{3} d \,x^{3}-1260 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{3} c^{4} x^{3}+1488 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} c^{2} d^{2} x^{2}-2368 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} b \,c^{3} d \,x^{2}+1008 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b^{2} c^{4} x^{2}+2016 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} c^{3} d x -864 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} b \,c^{4} x +768 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} c^{4}\right)}{3840 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{5} c^{2} x^{5}}"," ",0,"-1/3840*(d*x+c)^(1/2)*(b*x+a)^(1/2)/a^5/c^2*(45*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^5*d^5+75*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^4*b*c*d^4+450*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^3*b^2*c^2*d^3-2250*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^2*b^3*c^3*d^2+2625*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a*b^4*c^4*d-945*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*b^5*c^5-90*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^4*a^4*d^4-180*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^4*a^3*b*c*d^3+3128*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^4*a^2*b^2*c^2*d^2-4620*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^4*a*b^3*c^3*d+1890*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^4*b^4*c^4+60*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^3*a^4*c*d^3-1924*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^3*a^3*b*c^2*d^2+2996*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^3*a^2*b^2*c^3*d-1260*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^3*a*b^3*c^4+1488*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^2*a^4*c^2*d^2-2368*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^2*a^3*b*c^3*d+1008*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^2*a^2*b^2*c^4+2016*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x*a^4*c^3*d-864*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x*a^3*b*c^4+768*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^4*c^4)/((b*x+a)*(d*x+c))^(1/2)/x^5/(a*c)^(1/2)","B"
723,1,108,86,0.017000," ","int(x^4*(x+1)^(3/2)/(-x+1)^(1/2),x)","\frac{\sqrt{x +1}\, \sqrt{-x +1}\, \left(-40 \sqrt{-x^{2}+1}\, x^{5}-96 \sqrt{-x^{2}+1}\, x^{4}-110 \sqrt{-x^{2}+1}\, x^{3}-128 \sqrt{-x^{2}+1}\, x^{2}-165 \sqrt{-x^{2}+1}\, x +165 \arcsin \left(x \right)-256 \sqrt{-x^{2}+1}\right)}{240 \sqrt{-x^{2}+1}}"," ",0,"1/240*(x+1)^(1/2)*(-x+1)^(1/2)*(-40*x^5*(-x^2+1)^(1/2)-96*x^4*(-x^2+1)^(1/2)-110*x^3*(-x^2+1)^(1/2)-128*x^2*(-x^2+1)^(1/2)-165*x*(-x^2+1)^(1/2)+165*arcsin(x)-256*(-x^2+1)^(1/2))/(-x^2+1)^(1/2)","A"
724,1,94,78,0.011000," ","int(x^3*(x+1)^(3/2)/(-x+1)^(1/2),x)","\frac{\sqrt{x +1}\, \sqrt{-x +1}\, \left(-4 \sqrt{-x^{2}+1}\, x^{4}-10 \sqrt{-x^{2}+1}\, x^{3}-12 \sqrt{-x^{2}+1}\, x^{2}-15 \sqrt{-x^{2}+1}\, x +15 \arcsin \left(x \right)-24 \sqrt{-x^{2}+1}\right)}{20 \sqrt{-x^{2}+1}}"," ",0,"1/20*(x+1)^(1/2)*(-x+1)^(1/2)*(-4*(-x^2+1)^(1/2)*x^4-10*(-x^2+1)^(1/2)*x^3-12*(-x^2+1)^(1/2)*x^2-15*(-x^2+1)^(1/2)*x+15*arcsin(x)-24*(-x^2+1)^(1/2))/(-x^2+1)^(1/2)","A"
725,1,80,62,0.010000," ","int(x^2*(x+1)^(3/2)/(-x+1)^(1/2),x)","\frac{\sqrt{x +1}\, \sqrt{-x +1}\, \left(-6 \sqrt{-x^{2}+1}\, x^{3}-16 \sqrt{-x^{2}+1}\, x^{2}-21 \sqrt{-x^{2}+1}\, x +21 \arcsin \left(x \right)-32 \sqrt{-x^{2}+1}\right)}{24 \sqrt{-x^{2}+1}}"," ",0,"1/24*(x+1)^(1/2)*(-x+1)^(1/2)*(-6*(-x^2+1)^(1/2)*x^3-16*(-x^2+1)^(1/2)*x^2-21*(-x^2+1)^(1/2)*x+21*arcsin(x)-32*(-x^2+1)^(1/2))/(-x^2+1)^(1/2)","A"
726,1,66,45,0.009000," ","int(x*(x+1)^(3/2)/(-x+1)^(1/2),x)","\frac{\sqrt{x +1}\, \sqrt{-x +1}\, \left(-\sqrt{-x^{2}+1}\, x^{2}-3 \sqrt{-x^{2}+1}\, x +3 \arcsin \left(x \right)-5 \sqrt{-x^{2}+1}\right)}{3 \sqrt{-x^{2}+1}}"," ",0,"1/3*(x+1)^(1/2)*(-x+1)^(1/2)*(-(-x^2+1)^(1/2)*x^2-3*(-x^2+1)^(1/2)*x+3*arcsin(x)-5*(-x^2+1)^(1/2))/(-x^2+1)^(1/2)","A"
727,1,57,33,0.005000," ","int((x+1)^(3/2)/(-x+1)^(1/2),x)","\frac{3 \sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{2 \sqrt{x +1}\, \sqrt{-x +1}}-\frac{\sqrt{-x +1}\, \left(x +1\right)^{\frac{3}{2}}}{2}-\frac{3 \sqrt{-x +1}\, \sqrt{x +1}}{2}"," ",0,"-1/2*(-x+1)^(1/2)*(x+1)^(3/2)-3/2*(-x+1)^(1/2)*(x+1)^(1/2)+3/2*((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","A"
728,1,51,35,0.015000," ","int((x+1)^(3/2)/x/(-x+1)^(1/2),x)","\frac{\sqrt{x +1}\, \sqrt{-x +1}\, \left(-\arctanh \left(\frac{1}{\sqrt{-x^{2}+1}}\right)+2 \arcsin \left(x \right)-\sqrt{-x^{2}+1}\right)}{\sqrt{-x^{2}+1}}"," ",0,"(x+1)^(1/2)*(-x+1)^(1/2)/(-x^2+1)^(1/2)*(-(-x^2+1)^(1/2)-arctanh(1/(-x^2+1)^(1/2))+2*arcsin(x))","A"
729,1,55,36,0.013000," ","int((x+1)^(3/2)/x^2/(-x+1)^(1/2),x)","\frac{\sqrt{x +1}\, \sqrt{-x +1}\, \left(-2 x \arctanh \left(\frac{1}{\sqrt{-x^{2}+1}}\right)+x \arcsin \left(x \right)-\sqrt{-x^{2}+1}\right)}{\sqrt{-x^{2}+1}\, x}"," ",0,"(x+1)^(1/2)*(-x+1)^(1/2)*(arcsin(x)*x-2*arctanh(1/(-x^2+1)^(1/2))*x-(-x^2+1)^(1/2))/x/(-x^2+1)^(1/2)","A"
730,1,64,51,0.012000," ","int((x+1)^(3/2)/x^3/(-x+1)^(1/2),x)","-\frac{\sqrt{x +1}\, \sqrt{-x +1}\, \left(3 x^{2} \arctanh \left(\frac{1}{\sqrt{-x^{2}+1}}\right)+4 \sqrt{-x^{2}+1}\, x +\sqrt{-x^{2}+1}\right)}{2 \sqrt{-x^{2}+1}\, x^{2}}"," ",0,"-1/2*(x+1)^(1/2)*(-x+1)^(1/2)*(3*arctanh(1/(-x^2+1)^(1/2))*x^2+4*(-x^2+1)^(1/2)*x+(-x^2+1)^(1/2))/x^2/(-x^2+1)^(1/2)","A"
731,1,78,68,0.015000," ","int((x+1)^(3/2)/x^4/(-x+1)^(1/2),x)","-\frac{\sqrt{x +1}\, \sqrt{-x +1}\, \left(3 x^{3} \arctanh \left(\frac{1}{\sqrt{-x^{2}+1}}\right)+5 \sqrt{-x^{2}+1}\, x^{2}+3 \sqrt{-x^{2}+1}\, x +\sqrt{-x^{2}+1}\right)}{3 \sqrt{-x^{2}+1}\, x^{3}}"," ",0,"-1/3*(x+1)^(1/2)*(-x+1)^(1/2)*(3*arctanh(1/(-x^2+1)^(1/2))*x^3+5*(-x^2+1)^(1/2)*x^2+3*(-x^2+1)^(1/2)*x+(-x^2+1)^(1/2))/x^3/(-x^2+1)^(1/2)","A"
732,1,94,85,0.015000," ","int((x+1)^(3/2)/x^5/(-x+1)^(1/2),x)","-\frac{\sqrt{x +1}\, \sqrt{-x +1}\, \left(21 x^{4} \arctanh \left(\frac{1}{\sqrt{-x^{2}+1}}\right)+32 \sqrt{-x^{2}+1}\, x^{3}+21 \sqrt{-x^{2}+1}\, x^{2}+16 \sqrt{-x^{2}+1}\, x +6 \sqrt{-x^{2}+1}\right)}{24 \sqrt{-x^{2}+1}\, x^{4}}"," ",0,"-1/24*(x+1)^(1/2)*(-x+1)^(1/2)*(21*arctanh(1/(-x^2+1)^(1/2))*x^4+32*(-x^2+1)^(1/2)*x^3+21*(-x^2+1)^(1/2)*x^2+16*(-x^2+1)^(1/2)*x+6*(-x^2+1)^(1/2))/x^4/(-x^2+1)^(1/2)","A"
733,1,395,143,0.028000," ","int(x^3/(b*x+a)^(1/2)/(d*x+c)^(1/2),x)","-\frac{\left(15 a^{3} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+9 a^{2} b c \,d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+9 a \,b^{2} c^{2} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 b^{3} c^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-16 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} d^{2} x^{2}+20 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,d^{2} x +20 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c d x -30 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} d^{2}-28 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b c d -30 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{2}\right) \sqrt{b x +a}\, \sqrt{d x +c}}{48 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} d^{3}}"," ",0,"-1/48*(-16*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*d^2*x^2+15*a^3*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+9*a^2*b*c*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+9*a*b^2*c^2*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+15*b^3*c^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+20*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b*d^2*x+20*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*c*d*x-30*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*d^2-28*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b*c*d-30*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*c^2)*(b*x+a)^(1/2)*(d*x+c)^(1/2)/d^3/b^3/(b*d)^(1/2)/((b*x+a)*(d*x+c))^(1/2)","B"
734,1,251,101,0.022000," ","int(x^2/(b*x+a)^(1/2)/(d*x+c)^(1/2),x)","\frac{\left(3 a^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2 a b c d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 b^{2} c^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+4 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b d x -6 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a d -6 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b c \right) \sqrt{b x +a}\, \sqrt{d x +c}}{8 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} d^{2}}"," ",0,"1/8*(4*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b*d*x+3*a^2*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+2*a*b*c*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+3*b^2*c^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-6*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*d-6*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b*c)*(b*x+a)^(1/2)*(d*x+c)^(1/2)/(b*d)^(1/2)/d^2/b^2/((b*x+a)*(d*x+c))^(1/2)","B"
735,1,148,59,0.020000," ","int(x/(b*x+a)^(1/2)/(d*x+c)^(1/2),x)","-\frac{\left(a d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+b c \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\right) \sqrt{b x +a}\, \sqrt{d x +c}}{2 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b d}"," ",0,"-1/2*(ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*d+ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*b*c-2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))*(b*x+a)^(1/2)*(d*x+c)^(1/2)/b/(b*d)^(1/2)/d/((b*x+a)*(d*x+c))^(1/2)","B"
736,1,76,30,0.004000," ","int(1/(b*x+a)^(1/2)/(d*x+c)^(1/2),x)","\frac{\sqrt{\left(b x +a \right) \left(d x +c \right)}\, \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{\sqrt{b x +a}\, \sqrt{d x +c}\, \sqrt{b d}}"," ",0,"((b*x+a)*(d*x+c))^(1/2)/(b*x+a)^(1/2)/(d*x+c)^(1/2)*ln((b*d*x+1/2*a*d+1/2*b*c)/(b*d)^(1/2)+(b*d*x^2+a*c+(a*d+b*c)*x)^(1/2))/(b*d)^(1/2)","B"
737,1,73,30,0.023000," ","int(1/x/(b*x+a)^(1/2)/(d*x+c)^(1/2),x)","-\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)}{\sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}"," ",0,"-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*(d*x+c)^(1/2)*(b*x+a)^(1/2)/(a*c)^(1/2)/((b*x+a)*(d*x+c))^(1/2)","B"
738,1,149,62,0.024000," ","int(1/x^2/(b*x+a)^(1/2)/(d*x+c)^(1/2),x)","\frac{\left(a d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+b c x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\right) \sqrt{d x +c}\, \sqrt{b x +a}}{2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a c x}"," ",0,"1/2/a/c*(a*d*x*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+b*c*x*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))*(d*x+c)^(1/2)*(b*x+a)^(1/2)/(a*c)^(1/2)/x/((b*x+a)*(d*x+c))^(1/2)","B"
739,1,258,111,0.026000," ","int(1/x^3/(b*x+a)^(1/2)/(d*x+c)^(1/2),x)","-\frac{\left(3 a^{2} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+2 a b c d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 b^{2} c^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a d x -6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b c x +4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a c \right) \sqrt{d x +c}\, \sqrt{b x +a}}{8 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c^{2} x^{2}}"," ",0,"-1/8/a^2/c^2*(3*a^2*d^2*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+2*a*b*c*d*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+3*b^2*c^2*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*d*x-6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*b*c*x+4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*c)*(d*x+c)^(1/2)*(b*x+a)^(1/2)/(a*c)^(1/2)/x^2/((b*x+a)*(d*x+c))^(1/2)","B"
740,1,408,166,0.029000," ","int(1/x^4/(b*x+a)^(1/2)/(d*x+c)^(1/2),x)","\frac{\left(15 a^{3} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+9 a^{2} b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+9 a \,b^{2} c^{2} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 b^{3} c^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} d^{2} x^{2}-28 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a b c d \,x^{2}-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{2} c^{2} x^{2}+20 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} c d x +20 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a b \,c^{2} x -16 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} c^{2}\right) \sqrt{d x +c}\, \sqrt{b x +a}}{48 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c^{3} x^{3}}"," ",0,"1/48/a^3/c^3*(15*a^3*d^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+9*a^2*b*c*d^2*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+9*a*b^2*c^2*d*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+15*b^3*c^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-30*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*d^2*x^2-28*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b*c*d*x^2-30*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*b^2*c^2*x^2+20*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*c*d*x+20*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b*c^2*x-16*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*c^2)*(d*x+c)^(1/2)*(b*x+a)^(1/2)/(a*c)^(1/2)/x^3/((b*x+a)*(d*x+c))^(1/2)","B"
741,1,673,151,0.029000," ","int(x^3/(d*x+c)^(3/2)/(b*x+a)^(1/2),x)","\frac{\sqrt{b x +a}\, \left(3 a^{3} d^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a^{2} b c \,d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+9 a \,b^{2} c^{2} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 b^{3} c^{3} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a^{3} c \,d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a^{2} b \,c^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+9 a \,b^{2} c^{3} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 b^{3} c^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a b \,d^{3} x^{2}-4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} c \,d^{2} x^{2}-6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} d^{3} x -4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a b c \,d^{2} x +10 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} c^{2} d x -6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} c \,d^{2}-8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a b \,c^{2} d +30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} c^{3}\right)}{8 \left(a d -b c \right) \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{d x +c}\, b^{2} d^{3}}"," ",0,"1/8*(b*x+a)^(1/2)*(3*a^3*d^4*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+3*a^2*b*c*d^3*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+9*a*b^2*c^2*d^2*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-15*b^3*c^3*d*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b*d^3*x^2-4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^2*c*d^2*x^2+3*a^3*c*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+3*a^2*b*c^2*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+9*a*b^2*c^3*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-15*b^3*c^4*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*d^3*x-4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b*c*d^2*x+10*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^2*c^2*d*x-6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*c*d^2-8*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b*c^2*d+30*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^2*c^3)/(a*d-b*c)/(b*d)^(1/2)/b^2/((b*x+a)*(d*x+c))^(1/2)/d^3/(d*x+c)^(1/2)","B"
742,1,439,92,0.024000," ","int(x^2/(d*x+c)^(3/2)/(b*x+a)^(1/2),x)","-\frac{\sqrt{b x +a}\, \left(a^{2} d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2 a b c \,d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 b^{2} c^{2} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+a^{2} c \,d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2 a b \,c^{2} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 b^{2} c^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,d^{2} x +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b c d x -2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a c d +6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b \,c^{2}\right)}{2 \sqrt{b d}\, \left(a d -b c \right) \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{d x +c}\, b \,d^{2}}"," ",0,"-1/2*(b*x+a)^(1/2)*(a^2*d^3*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+2*a*b*c*d^2*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-3*b^2*c^2*d*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+a^2*c*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+2*a*b*c^2*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-3*b^2*c^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*d^2*x+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b*c*d*x-2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*c*d+6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b*c^2)/b/(b*d)^(1/2)/(a*d-b*c)/((b*x+a)*(d*x+c))^(1/2)/d^2/(d*x+c)^(1/2)","B"
743,1,251,61,0.023000," ","int(x/(d*x+c)^(3/2)/(b*x+a)^(1/2),x)","\frac{\sqrt{b x +a}\, \left(a \,d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-b c d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+a c d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-b \,c^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, c \right)}{\sqrt{b d}\, \left(a d -b c \right) \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{d x +c}\, d}"," ",0,"(b*x+a)^(1/2)*(a*d^2*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-b*c*d*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+a*c*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-b*c^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*c)/(b*d)^(1/2)/(a*d-b*c)/((b*x+a)*(d*x+c))^(1/2)/d/(d*x+c)^(1/2)","B"
744,1,27,26,0.004000," ","int(1/(b*x+a)^(1/2)/(d*x+c)^(3/2),x)","-\frac{2 \sqrt{b x +a}}{\sqrt{d x +c}\, \left(a d -b c \right)}"," ",0,"-2*(b*x+a)^(1/2)/(d*x+c)^(1/2)/(a*d-b*c)","A"
745,1,243,61,0.026000," ","int(1/x/(d*x+c)^(3/2)/(b*x+a)^(1/2),x)","\frac{\left(-a \,d^{2} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+b c d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-a c d \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+b \,c^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, d \right) \sqrt{b x +a}}{\left(a d -b c \right) \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{d x +c}\, c}"," ",0,"(-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a*d^2+ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*b*c*d-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a*c*d+ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*b*c^2+2*d*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2))*(b*x+a)^(1/2)/c/(a*d-b*c)/(a*c)^(1/2)/((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)","B"
746,1,441,104,0.031000," ","int(1/x^2/(d*x+c)^(3/2)/(b*x+a)^(1/2),x)","\frac{\sqrt{b x +a}\, \left(3 a^{2} d^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-2 a b c \,d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-b^{2} c^{2} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 a^{2} c \,d^{2} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-2 a b \,c^{2} d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-b^{2} c^{3} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,d^{2} x +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b c d x -2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a c d +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b \,c^{2}\right)}{2 \left(a d -b c \right) \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{d x +c}\, a \,c^{2} x}"," ",0,"1/2*(b*x+a)^(1/2)/a/c^2*(3*a^2*d^3*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-2*a*b*c*d^2*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*b^2*c^2*d+3*a^2*c*d^2*x*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-2*a*b*c^2*d*x*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*b^2*c^3-6*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*d^2*x+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b*c*d*x-2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*c*d+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b*c^2)/(a*d-b*c)/(a*c)^(1/2)/x/((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)","B"
747,1,683,162,0.033000," ","int(1/x^3/(d*x+c)^(3/2)/(b*x+a)^(1/2),x)","-\frac{\sqrt{b x +a}\, \left(15 a^{3} d^{4} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-9 a^{2} b c \,d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3 a \,b^{2} c^{2} d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3 b^{3} c^{3} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a^{3} c \,d^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-9 a^{2} b \,c^{2} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3 a \,b^{2} c^{3} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3 b^{3} c^{4} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} d^{3} x^{2}+8 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b c \,d^{2} x^{2}+6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{2} d \,x^{2}-10 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c \,d^{2} x +4 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{2} d x +6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{3} x +4 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c^{2} d -4 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{3}\right)}{8 \left(a d -b c \right) \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{d x +c}\, a^{2} c^{3} x^{2}}"," ",0,"-1/8*(b*x+a)^(1/2)/a^2/c^3*(15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^3*d^4-9*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^2*b*c*d^3-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a*b^2*c^2*d^2-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*b^3*c^3*d+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^3*c*d^3-9*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*b*c^2*d^2-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a*b^2*c^3*d-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*b^3*c^4-30*x^2*a^2*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+8*x^2*a*b*c*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+6*x^2*b^2*c^2*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-10*x*a^2*c*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+4*x*a*b*c^2*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+6*x*b^2*c^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+4*a^2*c^2*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-4*a*b*c^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/(a*d-b*c)/(a*c)^(1/2)/x^2/((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)","B"
748,1,1287,226,0.033000," ","int(x^4/(d*x+c)^(5/2)/(b*x+a)^(1/2),x)","\frac{\sqrt{b x +a}\, \left(9 a^{4} d^{6} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+12 a^{3} b c \,d^{5} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+54 a^{2} b^{2} c^{2} d^{4} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-180 a \,b^{3} c^{3} d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+105 b^{4} c^{4} d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+18 a^{4} c \,d^{5} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+24 a^{3} b \,c^{2} d^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+108 a^{2} b^{2} c^{3} d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-360 a \,b^{3} c^{4} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+210 b^{4} c^{5} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+9 a^{4} c^{2} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+12 a^{3} b \,c^{3} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+54 a^{2} b^{2} c^{4} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+12 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,d^{5} x^{3}-180 a \,b^{3} c^{5} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-24 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c \,d^{4} x^{3}+105 b^{4} c^{6} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+12 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{2} d^{3} x^{3}-18 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} d^{5} x^{2}-6 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b c \,d^{4} x^{2}+66 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c^{2} d^{3} x^{2}-42 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{3} d^{2} x^{2}-36 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c \,d^{4} x -48 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,c^{2} d^{3} x +396 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c^{3} d^{2} x -280 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{4} d x -18 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c^{2} d^{3}-30 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,c^{3} d^{2}+290 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c^{4} d -210 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{5}\right)}{24 \left(a d -b c \right)^{2} \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(d x +c \right)^{\frac{3}{2}} b^{2} d^{4}}"," ",0,"1/24*(b*x+a)^(1/2)*(9*a^4*c^2*d^4*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+9*a^4*d^6*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-210*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^3*c^5-18*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^3*c^2*d^3-36*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^3*c*d^4*x-42*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^3*c^3*d^2*x^2+24*a^3*b*c^2*d^4*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+108*a^2*b^2*c^3*d^3*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-360*a*b^3*c^4*d^2*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-280*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^3*c^4*d*x-30*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*b*c^3*d^2+290*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b^2*c^4*d+12*a^3*b*c*d^5*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+54*a^2*b^2*c^2*d^4*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-180*a*b^3*c^3*d^3*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+12*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*b*d^5*x^3+12*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^3*c^2*d^3*x^3+105*b^4*c^6*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-18*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^3*d^5*x^2+18*a^4*c*d^5*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+210*b^4*c^5*d*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+12*a^3*b*c^3*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+54*a^2*b^2*c^4*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-180*a*b^3*c^5*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+105*b^4*c^4*d^2*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-6*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*b*c*d^4*x^2+66*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b^2*c^2*d^3*x^2-48*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*b*c^2*d^3*x-24*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b^2*c*d^4*x^3+396*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b^2*c^3*d^2*x)/(a*d-b*c)^2/(b*d)^(1/2)/b^2/((b*x+a)*(d*x+c))^(1/2)/d^4/(d*x+c)^(3/2)","B"
749,1,928,150,0.026000," ","int(x^3/(d*x+c)^(5/2)/(b*x+a)^(1/2),x)","-\frac{\sqrt{b x +a}\, \left(3 a^{3} d^{5} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+9 a^{2} b c \,d^{4} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-27 a \,b^{2} c^{2} d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 b^{3} c^{3} d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+6 a^{3} c \,d^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+18 a^{2} b \,c^{2} d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-54 a \,b^{2} c^{3} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+30 b^{3} c^{4} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a^{3} c^{2} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+9 a^{2} b \,c^{3} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-27 a \,b^{2} c^{4} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 b^{3} c^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} d^{4} x^{2}+12 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b c \,d^{3} x^{2}-6 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{2} d^{2} x^{2}-12 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} c \,d^{3} x +60 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{2} d^{2} x -40 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{3} d x -6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} c^{2} d^{2}+44 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{3} d -30 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{4}\right)}{6 \sqrt{b d}\, \left(a d -b c \right)^{2} \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(d x +c \right)^{\frac{3}{2}} b \,d^{3}}"," ",0,"-1/6*(b*x+a)^(1/2)*(3*a^3*d^5*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+9*a^2*b*c*d^4*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-27*a*b^2*c^2*d^3*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+15*b^3*c^3*d^2*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+6*a^3*c*d^4*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+18*a^2*b*c^2*d^3*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-54*a*b^2*c^3*d^2*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+30*b^3*c^4*d*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*d^4*x^2+12*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b*c*d^3*x^2-6*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*c^2*d^2*x^2+3*a^3*c^2*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+9*a^2*b*c^3*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-27*a*b^2*c^4*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+15*b^3*c^5*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-12*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*c*d^3*x+60*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b*c^2*d^2*x-40*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*c^3*d*x-6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*c^2*d^2+44*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b*c^3*d-30*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*c^4)/b/(b*d)^(1/2)/(a*d-b*c)^2/((b*x+a)*(d*x+c))^(1/2)/d^3/(d*x+c)^(3/2)","B"
750,1,604,102,0.026000," ","int(x^2/(d*x+c)^(5/2)/(b*x+a)^(1/2),x)","\frac{\sqrt{b x +a}\, \left(3 a^{2} d^{4} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-6 a b c \,d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 b^{2} c^{2} d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+6 a^{2} c \,d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-12 a b \,c^{2} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+6 b^{2} c^{3} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a^{2} c^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-6 a b \,c^{3} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 b^{2} c^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+12 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a c \,d^{2} x -8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b \,c^{2} d x +10 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,c^{2} d -6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b \,c^{3}\right)}{3 \sqrt{b d}\, \left(a d -b c \right)^{2} \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(d x +c \right)^{\frac{3}{2}} d^{2}}"," ",0,"1/3*(b*x+a)^(1/2)*(3*a^2*d^4*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-6*a*b*c*d^3*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+3*b^2*c^2*d^2*x^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+6*a^2*c*d^3*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-12*a*b*c^2*d^2*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+6*b^2*c^3*d*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+3*a^2*c^2*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-6*a*b*c^3*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+3*b^2*c^4*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+12*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*c*d^2*x-8*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b*c^2*d*x+10*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*c^2*d-6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b*c^3)/(b*d)^(1/2)/(a*d-b*c)^2/((b*x+a)*(d*x+c))^(1/2)/d^2/(d*x+c)^(3/2)","B"
751,1,55,68,0.007000," ","int(x/(d*x+c)^(5/2)/(b*x+a)^(1/2),x)","-\frac{2 \sqrt{b x +a}\, \left(3 a d x -b c x +2 a c \right)}{3 \left(d x +c \right)^{\frac{3}{2}} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}"," ",0,"-2/3*(b*x+a)^(1/2)*(3*a*d*x-b*c*x+2*a*c)/(d*x+c)^(3/2)/(a^2*d^2-2*a*b*c*d+b^2*c^2)","A"
752,1,53,54,0.006000," ","int(1/(b*x+a)^(1/2)/(d*x+c)^(5/2),x)","-\frac{2 \sqrt{b x +a}\, \left(-2 b d x +a d -3 b c \right)}{3 \left(d x +c \right)^{\frac{3}{2}} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}"," ",0,"-2/3*(b*x+a)^(1/2)*(-2*b*d*x+a*d-3*b*c)/(d*x+c)^(3/2)/(a^2*d^2-2*a*b*c*d+b^2*c^2)","A"
753,1,586,100,0.031000," ","int(1/x/(d*x+c)^(5/2)/(b*x+a)^(1/2),x)","-\frac{\sqrt{b x +a}\, \left(3 a^{2} d^{4} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 a b c \,d^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 b^{2} c^{2} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+6 a^{2} c \,d^{3} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-12 a b \,c^{2} d^{2} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+6 b^{2} c^{3} d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 a^{2} c^{2} d^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 a b \,c^{3} d \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 b^{2} c^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,d^{3} x +10 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b c \,d^{2} x -8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a c \,d^{2}+12 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b \,c^{2} d \right)}{3 \sqrt{a c}\, \left(a d -b c \right)^{2} \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(d x +c \right)^{\frac{3}{2}} c^{2}}"," ",0,"-1/3*(b*x+a)^(1/2)/c^2*(3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*d^4-6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a*b*c*d^3+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*b^2*c^2*d^2+6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^2*c*d^3-12*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a*b*c^2*d^2+6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*b^2*c^3*d+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a^2*c^2*d^2-6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a*b*c^3*d+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*b^2*c^4-6*x*a*d^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+10*x*b*c*d^2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-8*a*c*d^2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+12*b*c^2*d*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2))/(a*c)^(1/2)/(a*d-b*c)^2/((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(3/2)","B"
754,1,919,161,0.037000," ","int(1/x^2/(d*x+c)^(5/2)/(b*x+a)^(1/2),x)","\frac{\sqrt{b x +a}\, \left(15 a^{3} d^{5} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-27 a^{2} b c \,d^{4} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+9 a \,b^{2} c^{2} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 b^{3} c^{3} d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+30 a^{3} c \,d^{4} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-54 a^{2} b \,c^{2} d^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+18 a \,b^{2} c^{3} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+6 b^{3} c^{4} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a^{3} c^{2} d^{3} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-27 a^{2} b \,c^{3} d^{2} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+9 a \,b^{2} c^{4} d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 b^{3} c^{5} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} d^{4} x^{2}+44 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b c \,d^{3} x^{2}-6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{2} d^{2} x^{2}-40 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c \,d^{3} x +60 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{2} d^{2} x -12 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{3} d x -6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c^{2} d^{2}+12 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{3} d -6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{4}\right)}{6 \left(a d -b c \right)^{2} \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(d x +c \right)^{\frac{3}{2}} a \,c^{3} x}"," ",0,"1/6*(b*x+a)^(1/2)/a/c^3*(15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^3*d^5-27*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^2*b*c*d^4+9*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a*b^2*c^2*d^3+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*b^3*c^3*d^2+30*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^3*c*d^4-54*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*b*c^2*d^3+18*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a*b^2*c^3*d^2+6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*b^3*c^4*d+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^3*c^2*d^3-27*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^2*b*c^3*d^2+9*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a*b^2*c^4*d+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*b^3*c^5-30*x^2*a^2*d^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+44*x^2*a*b*c*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-6*x^2*b^2*c^2*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-40*x*a^2*c*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+60*x*a*b*c^2*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-12*x*b^2*c^3*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-6*a^2*c^2*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+12*a*b*c^3*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-6*b^2*c^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/(a*d-b*c)^2/(a*c)^(1/2)/x/((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(3/2)","B"
755,1,1288,239,0.039000," ","int(1/x^3/(d*x+c)^(5/2)/(b*x+a)^(1/2),x)","-\frac{\sqrt{b x +a}\, \left(105 a^{4} d^{6} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-180 a^{3} b c \,d^{5} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+54 a^{2} b^{2} c^{2} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+12 a \,b^{3} c^{3} d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+9 b^{4} c^{4} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+210 a^{4} c \,d^{5} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-360 a^{3} b \,c^{2} d^{4} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+108 a^{2} b^{2} c^{3} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+24 a \,b^{3} c^{4} d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+18 b^{4} c^{5} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+105 a^{4} c^{2} d^{4} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-180 a^{3} b \,c^{3} d^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+54 a^{2} b^{2} c^{4} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+12 a \,b^{3} c^{5} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+9 b^{4} c^{6} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-210 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} d^{5} x^{3}+290 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b c \,d^{4} x^{3}-30 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c^{2} d^{3} x^{3}-18 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{3} d^{2} x^{3}-280 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c \,d^{4} x^{2}+396 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,c^{2} d^{3} x^{2}-48 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c^{3} d^{2} x^{2}-36 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{4} d \,x^{2}-42 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c^{2} d^{3} x +66 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,c^{3} d^{2} x -6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c^{4} d x -18 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{5} x +12 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c^{3} d^{2}-24 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,c^{4} d +12 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c^{5}\right)}{24 \left(a d -b c \right)^{2} \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(d x +c \right)^{\frac{3}{2}} a^{2} c^{4} x^{2}}"," ",0,"-1/24*(b*x+a)^(1/2)/a^2/c^4*(-280*x^2*a^3*c*d^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-36*x^2*b^3*c^4*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-42*x*a^3*c^2*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-24*a^2*b*c^4*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-18*x^3*b^3*c^3*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-210*x^3*a^3*d^5*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+9*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*b^4*c^6+105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^4*d^6-180*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^3*b*c*d^5+54*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^2*b^2*c^2*d^4+12*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a*b^3*c^3*d^3-360*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^3*b*c^2*d^4+108*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^2*b^2*c^3*d^3+24*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a*b^3*c^4*d^2-180*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^3*b*c^3*d^3+54*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*b^2*c^4*d^2+12*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a*b^3*c^5*d-18*x*b^3*c^5*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+12*a^3*c^3*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+12*a*b^2*c^5*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+9*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*b^4*c^4*d^2+210*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^4*c*d^5+18*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*b^4*c^5*d+105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^4*c^2*d^4+290*x^3*a^2*b*c*d^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-30*x^3*a*b^2*c^2*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+396*x^2*a^2*b*c^2*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-48*x^2*a*b^2*c^3*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+66*x*a^2*b*c^3*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-6*x*a*b^2*c^4*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/(a*d-b*c)^2/(a*c)^(1/2)/x^2/((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(3/2)","B"
756,1,18,17,0.003000," ","int(1/x/(c*x)^(1/2)/(b*x+a)^(1/2),x)","-\frac{2 \sqrt{b x +a}}{\sqrt{c x}\, a}"," ",0,"-2*(b*x+a)^(1/2)/a/(c*x)^(1/2)","A"
757,1,85,34,0.036000," ","int(1/x/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2),x)","-\frac{\sqrt{b x +a}\, \sqrt{-\left(b x -a \right) c}\, \ln \left(\frac{2 a^{2} c +2 \sqrt{a^{2} c}\, \sqrt{-\left(b^{2} x^{2}-a^{2}\right) c}}{x}\right)}{\sqrt{-\left(b^{2} x^{2}-a^{2}\right) c}\, \sqrt{a^{2} c}}"," ",0,"-(b*x+a)^(1/2)*(-c*(b*x-a))^(1/2)*ln(2*(a^2*c+(a^2*c)^(1/2)*(-c*(b^2*x^2-a^2))^(1/2))/x)/(-c*(b^2*x^2-a^2))^(1/2)/(a^2*c)^(1/2)","B"
758,1,114,44,0.052000," ","int(1/x/(-b*x-a+1)^(1/2)/(b*x+a+1)^(1/2),x)","\frac{\sqrt{-b x -a +1}\, \sqrt{b x +a +1}\, \sqrt{-a^{2}+1}\, \mathrm{csgn}\left(b \right)^{2} \ln \left(-\frac{2 \left(a b x +a^{2}-\sqrt{-a^{2}+1}\, \sqrt{-b^{2} x^{2}-2 a b x -a^{2}+1}-1\right)}{x}\right)}{\sqrt{-b^{2} x^{2}-2 a b x -a^{2}+1}\, \left(a -1\right) \left(a +1\right)}"," ",0,"(-b*x-a+1)^(1/2)*(b*x+a+1)^(1/2)*csgn(b)^2*(-a^2+1)^(1/2)*ln(-2*(a*b*x+a^2-(-a^2+1)^(1/2)*(-b^2*x^2-2*a*b*x-a^2+1)^(1/2)-1)/x)/(-b^2*x^2-2*a*b*x-a^2+1)^(1/2)/(a-1)/(1+a)","C"
759,1,961,235,0.036000," ","int(x^3*(d*x+c)^(3/2)/(b*x+a)^(3/2),x)","\frac{\sqrt{d x +c}\, \left(315 a^{4} b \,d^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-420 a^{3} b^{2} c \,d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+90 a^{2} b^{3} c^{2} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+12 a \,b^{4} c^{3} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 b^{5} c^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+32 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{4} d^{3} x^{4}+315 a^{5} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-420 a^{4} b c \,d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+90 a^{3} b^{2} c^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+12 a^{2} b^{3} c^{3} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a \,b^{4} c^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{3} d^{3} x^{3}+48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{4} c \,d^{2} x^{3}+84 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{2} d^{3} x^{2}-88 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{3} c \,d^{2} x^{2}+4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{4} c^{2} d \,x^{2}-210 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} b \,d^{3} x +238 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{2} c \,d^{2} x -22 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{3} c^{2} d x -6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{4} c^{3} x -630 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{4} d^{3}+630 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} b c \,d^{2}-26 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{2} c^{2} d -6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{3} c^{3}\right)}{128 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{b x +a}\, b^{5} d^{2}}"," ",0,"1/128*(d*x+c)^(1/2)*(32*x^4*b^4*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-48*x^3*a*b^3*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+48*x^3*b^4*c*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+315*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^4*b*d^4-420*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^3*b^2*c*d^3+90*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*b^3*c^2*d^2+12*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b^4*c^3*d+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b^5*c^4+84*x^2*a^2*b^2*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-88*x^2*a*b^3*c*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+4*x^2*b^4*c^2*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+315*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^5*d^4-420*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^4*b*c*d^3+90*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*b^2*c^2*d^2+12*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b^3*c^3*d+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b^4*c^4-210*x*a^3*b*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+238*x*a^2*b^2*c*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-22*x*a*b^3*c^2*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-6*x*b^4*c^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-630*a^4*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+630*a^3*b*c*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-26*a^2*b^2*c^2*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-6*a*b^3*c^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(b*x+a)^(1/2)/b^5/d^2","B"
760,1,692,210,0.027000," ","int(x^2*(d*x+c)^(3/2)/(b*x+a)^(3/2),x)","-\frac{\sqrt{d x +c}\, \left(105 a^{3} b \,d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-135 a^{2} b^{2} c \,d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+27 a \,b^{3} c^{2} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 b^{4} c^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+105 a^{4} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-135 a^{3} b c \,d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+27 a^{2} b^{2} c^{2} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a \,b^{3} c^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-16 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} d^{2} x^{3}+28 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} d^{2} x^{2}-28 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} c d \,x^{2}-70 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b \,d^{2} x +76 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} c d x -6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} c^{2} x -210 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} d^{2}+200 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b c d -6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} c^{2}\right)}{48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{b x +a}\, b^{4} d}"," ",0,"-1/48*(d*x+c)^(1/2)*(-16*x^3*b^3*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+105*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^3*b*d^3-135*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*b^2*c*d^2+27*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b^3*c^2*d+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b^4*c^3+28*x^2*a*b^2*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-28*x^2*b^3*c*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+105*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^4*d^3-135*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*b*c*d^2+27*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b^2*c^2*d+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b^3*c^3-70*x*a^2*b*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+76*x*a*b^2*c*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-6*x*b^3*c^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-210*a^3*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+200*a^2*b*c*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-6*a*b^2*c^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(b*x+a)^(1/2)/b^4/d","B"
761,1,455,141,0.022000," ","int(x*(d*x+c)^(3/2)/(b*x+a)^(3/2),x)","\frac{\sqrt{d x +c}\, \left(15 a^{2} b \,d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-18 a \,b^{2} c d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 b^{3} c^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 a^{3} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-18 a^{2} b c d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a \,b^{2} c^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} d \,x^{2}-10 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a b d x +10 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{2} c x -30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} d +26 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a b c \right)}{8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{b x +a}\, b^{3}}"," ",0,"1/8*(d*x+c)^(1/2)*(15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*b*d^2-18*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b^2*c*d+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b^3*c^2+4*x^2*b^2*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*d^2-18*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b*c*d+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b^2*c^2-10*x*a*b*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+10*x*b^2*c*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-30*a^2*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+26*a*b*c*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(b*x+a)^(1/2)/b^3","B"
762,0,0,78,0.000000," ","int((d*x+c)^(3/2)/(b*x+a)^(3/2),x)","\int \frac{\left(d x +c \right)^{\frac{3}{2}}}{\left(b x +a \right)^{\frac{3}{2}}}\, dx"," ",0,"int((d*x+c)^(3/2)/(b*x+a)^(3/2),x)","F"
763,1,306,91,0.023000," ","int((d*x+c)^(3/2)/x/(b*x+a)^(3/2),x)","\frac{\sqrt{d x +c}\, \left(\sqrt{a c}\, a b \,d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-\sqrt{b d}\, b^{2} c^{2} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+\sqrt{a c}\, a^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-\sqrt{b d}\, a b \,c^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-2 \sqrt{b d}\, \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a d +2 \sqrt{b d}\, \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b c \right)}{\sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, \sqrt{b x +a}\, a b}"," ",0,"(d*x+c)^(1/2)*(ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b*d^2*(a*c)^(1/2)-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*b^2*c^2*(b*d)^(1/2)+(a*c)^(1/2)*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*d^2-(b*d)^(1/2)*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a*b*c^2-2*(b*d)^(1/2)*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*d+2*(b*d)^(1/2)*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b*c)/a/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(a*c)^(1/2)/(b*x+a)^(1/2)/b","B"
764,1,298,88,0.025000," ","int((d*x+c)^(3/2)/x^2/(b*x+a)^(3/2),x)","-\frac{\sqrt{d x +c}\, \left(3 a b c d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3 b^{2} c^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 a^{2} c d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3 a b \,c^{2} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a d x +6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b c x +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a c \right)}{2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, \sqrt{b x +a}\, a^{2} x}"," ",0,"-1/2*(d*x+c)^(1/2)*(3*a*b*c*d*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-3*b^2*c^2*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+3*a^2*c*d*x*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-3*a*b*c^2*x*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*d*x+6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*b*c*x+2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*c)/a^2/((b*x+a)*(d*x+c))^(1/2)/x/(a*c)^(1/2)/(b*x+a)^(1/2)","B"
765,1,464,146,0.026000," ","int((d*x+c)^(3/2)/x^3/(b*x+a)^(3/2),x)","-\frac{\sqrt{d x +c}\, \left(3 a^{2} b \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-18 a \,b^{2} c d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 b^{3} c^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 a^{3} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-18 a^{2} b c d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a \,b^{2} c^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+26 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b d \,x^{2}-30 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c \,x^{2}+10 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} d x -10 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b c x +4 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c \right)}{8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, \sqrt{b x +a}\, a^{3} x^{2}}"," ",0,"-1/8*(d*x+c)^(1/2)*(3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^2*b*d^2-18*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a*b^2*c*d+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*b^3*c^2+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^3*d^2-18*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*b*c*d+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a*b^2*c^2+26*x^2*a*b*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-30*x^2*b^2*c*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+10*x*a^2*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-10*x*a*b*c*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+4*a^2*c*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/a^3/((b*x+a)*(d*x+c))^(1/2)/x^2/(a*c)^(1/2)/(b*x+a)^(1/2)","B"
766,1,707,203,0.033000," ","int((d*x+c)^(3/2)/x^4/(b*x+a)^(3/2),x)","\frac{\sqrt{d x +c}\, \left(3 a^{3} b \,d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+27 a^{2} b^{2} c \,d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-135 a \,b^{3} c^{2} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+105 b^{4} c^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 a^{4} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+27 a^{3} b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-135 a^{2} b^{2} c^{2} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+105 a \,b^{3} c^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,d^{2} x^{3}+200 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c d \,x^{3}-210 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{2} x^{3}-6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} d^{2} x^{2}+76 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b c d \,x^{2}-70 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c^{2} x^{2}-28 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c d x +28 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,c^{2} x -16 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c^{2}\right)}{48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, \sqrt{b x +a}\, a^{4} c \,x^{3}}"," ",0,"1/48*(d*x+c)^(1/2)*(3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^3*b*d^3+27*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^2*b^2*c*d^2-135*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a*b^3*c^2*d+105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*b^4*c^3+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^4*d^3+27*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^3*b*c*d^2-135*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^2*b^2*c^2*d+105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a*b^3*c^3-6*x^3*a^2*b*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+200*x^3*a*b^2*c*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-210*x^3*b^3*c^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-6*x^2*a^3*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+76*x^2*a^2*b*c*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-70*x^2*a*b^2*c^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-28*x*a^3*c*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+28*x*a^2*b*c^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-16*a^3*c^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/c/a^4/((b*x+a)*(d*x+c))^(1/2)/x^3/(a*c)^(1/2)/(b*x+a)^(1/2)","B"
767,1,1265,304,0.034000," ","int(x^3*(d*x+c)^(5/2)/(b*x+a)^(3/2),x)","-\frac{\sqrt{d x +c}\, \left(-256 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{5} d^{4} x^{5}+3465 a^{5} b \,d^{5} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-7875 a^{4} b^{2} c \,d^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+5250 a^{3} b^{3} c^{2} d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-750 a^{2} b^{4} c^{3} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-75 a \,b^{5} c^{4} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+352 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{4} d^{4} x^{4}-15 b^{6} c^{5} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-672 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{5} c \,d^{3} x^{4}+3465 a^{6} d^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-7875 a^{5} b c \,d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+5250 a^{4} b^{2} c^{2} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-750 a^{3} b^{3} c^{3} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-75 a^{2} b^{4} c^{4} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-528 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{3} d^{4} x^{3}-15 a \,b^{5} c^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+1024 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{4} c \,d^{3} x^{3}-496 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{5} c^{2} d^{2} x^{3}+924 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} b^{2} d^{4} x^{2}-1836 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{3} c \,d^{3} x^{2}+932 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{4} c^{2} d^{2} x^{2}-20 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{5} c^{3} d \,x^{2}-2310 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{4} b \,d^{4} x +4788 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} b^{2} c \,d^{3} x -2648 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{3} c^{2} d^{2} x +140 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{4} c^{3} d x +30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{5} c^{4} x -6930 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{5} d^{4}+13440 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{4} b c \,d^{3}-6636 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} b^{2} c^{2} d^{2}+160 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{3} c^{3} d +30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{4} c^{4}\right)}{1280 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{b x +a}\, b^{6} d^{2}}"," ",0,"-1/1280*(d*x+c)^(1/2)*(-6930*a^5*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b^6*c^5-15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b^5*c^5-256*x^5*b^5*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-6636*a^3*b^2*c^2*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+30*x*b^5*c^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+30*a*b^4*c^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+3465*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^5*b*d^5-7875*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^5*b*c*d^4+5250*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^4*b^2*c^2*d^3-750*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*b^3*c^3*d^2-75*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b^4*c^4*d+3465*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^6*d^5-672*x^4*b^5*c*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-528*x^3*a^2*b^3*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-496*x^3*b^5*c^2*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+924*x^2*a^3*b^2*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-20*x^2*b^5*c^3*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-2310*x*a^4*b*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+13440*a^4*b*c*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-75*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b^5*c^4*d+352*x^4*a*b^4*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-750*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*b^4*c^3*d^2+5250*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^3*b^3*c^2*d^3+160*a^2*b^3*c^3*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-7875*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^4*b^2*c*d^4+1024*x^3*a*b^4*c*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-1836*x^2*a^2*b^3*c*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+932*x^2*a*b^4*c^2*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+4788*x*a^3*b^2*c*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-2648*x*a^2*b^3*c^2*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+140*x*a*b^4*c^3*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(b*x+a)^(1/2)/b^6/d^2","B"
768,1,961,264,0.030000," ","int(x^2*(d*x+c)^(5/2)/(b*x+a)^(3/2),x)","\frac{\sqrt{d x +c}\, \left(945 a^{4} b \,d^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-2100 a^{3} b^{2} c \,d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+1350 a^{2} b^{3} c^{2} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-180 a \,b^{4} c^{3} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 b^{5} c^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+96 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{4} d^{3} x^{4}+945 a^{5} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-2100 a^{4} b c \,d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+1350 a^{3} b^{2} c^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-180 a^{2} b^{3} c^{3} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 a \,b^{4} c^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-144 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{3} d^{3} x^{3}+272 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{4} c \,d^{2} x^{3}+252 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{2} d^{3} x^{2}-488 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{3} c \,d^{2} x^{2}+236 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{4} c^{2} d \,x^{2}-630 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} b \,d^{3} x +1274 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{2} c \,d^{2} x -674 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{3} c^{2} d x +30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{4} c^{3} x -1890 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{4} d^{3}+3570 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} b c \,d^{2}-1678 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{2} c^{2} d +30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{3} c^{3}\right)}{384 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{b x +a}\, b^{5} d}"," ",0,"1/384*(d*x+c)^(1/2)*(96*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^4*d^3*x^4-144*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b^3*d^3*x^3+272*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^4*c*d^2*x^3+945*a^4*b*d^4*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-2100*a^3*b^2*c*d^3*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+1350*a^2*b^3*c^2*d^2*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-180*a*b^4*c^3*d*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-15*b^5*c^4*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+252*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*b^2*d^3*x^2-488*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b^3*c*d^2*x^2+236*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^4*c^2*d*x^2+945*a^5*d^4*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-2100*a^4*b*c*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+1350*a^3*b^2*c^2*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-180*a^2*b^3*c^3*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-15*a*b^4*c^4*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-630*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^3*b*d^3*x+1274*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*b^2*c*d^2*x-674*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b^3*c^2*d*x+30*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^4*c^3*x-1890*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^4*d^3+3570*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^3*b*c*d^2-1678*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*b^2*c^2*d+30*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b^3*c^3)/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(b*x+a)^(1/2)/b^5/d","B"
769,1,689,178,0.027000," ","int(x*(d*x+c)^(5/2)/(b*x+a)^(3/2),x)","-\frac{\sqrt{d x +c}\, \left(105 a^{3} b \,d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-225 a^{2} b^{2} c \,d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+135 a \,b^{3} c^{2} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 b^{4} c^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+105 a^{4} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-225 a^{3} b c \,d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+135 a^{2} b^{2} c^{2} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 a \,b^{3} c^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-16 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} d^{2} x^{3}+28 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} d^{2} x^{2}-52 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} c d \,x^{2}-70 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b \,d^{2} x +136 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} c d x -66 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} c^{2} x -210 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} d^{2}+380 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b c d -162 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} c^{2}\right)}{48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{b x +a}\, b^{4}}"," ",0,"-1/48*(d*x+c)^(1/2)*(-16*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^3*d^2*x^3+105*a^3*b*d^3*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-225*a^2*b^2*c*d^2*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+135*a*b^3*c^2*d*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-15*b^4*c^3*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+28*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b^2*d^2*x^2-52*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^3*c*d*x^2+105*a^4*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-225*a^3*b*c*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+135*a^2*b^2*c^2*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-15*a*b^3*c^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-70*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*b*d^2*x+136*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b^2*c*d*x-66*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^3*c^2*x-210*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^3*d^2+380*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*b*c*d-162*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b^2*c^2)/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(b*x+a)^(1/2)/b^4","B"
770,0,0,108,0.000000," ","int((d*x+c)^(5/2)/(b*x+a)^(3/2),x)","\int \frac{\left(d x +c \right)^{\frac{5}{2}}}{\left(b x +a \right)^{\frac{3}{2}}}\, dx"," ",0,"int((d*x+c)^(5/2)/(b*x+a)^(3/2),x)","F"
771,1,492,131,0.023000," ","int((d*x+c)^(5/2)/x/(b*x+a)^(3/2),x)","-\frac{\sqrt{d x +c}\, \left(3 \sqrt{a c}\, a^{2} b \,d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-5 \sqrt{a c}\, a \,b^{2} c \,d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2 \sqrt{b d}\, b^{3} c^{3} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 \sqrt{a c}\, a^{3} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-5 \sqrt{a c}\, a^{2} b c \,d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+2 \sqrt{b d}\, a \,b^{2} c^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-2 \sqrt{b d}\, \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,d^{2} x -6 \sqrt{b d}\, \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} d^{2}+8 \sqrt{b d}\, \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b c d -4 \sqrt{b d}\, \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{2}\right)}{2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, \sqrt{b x +a}\, a \,b^{2}}"," ",0,"-1/2*(d*x+c)^(1/2)*(3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*b*d^3*(a*c)^(1/2)-5*(a*c)^(1/2)*a*b^2*c*d^2*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*b^3*c^3*(b*d)^(1/2)+3*(a*c)^(1/2)*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*d^3-5*(a*c)^(1/2)*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b*c*d^2+2*(b*d)^(1/2)*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a*b^2*c^3-2*(b*d)^(1/2)*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a*b*d^2-6*(b*d)^(1/2)*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*d^2+8*(b*d)^(1/2)*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b*c*d-4*(b*d)^(1/2)*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*c^2)/a/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(a*c)^(1/2)/(b*x+a)^(1/2)/b^2","B"
772,1,502,131,0.025000," ","int((d*x+c)^(5/2)/x^2/(b*x+a)^(3/2),x)","\frac{\sqrt{d x +c}\, \left(2 \sqrt{a c}\, a^{2} b \,d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-5 \sqrt{b d}\, a \,b^{2} c^{2} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 \sqrt{b d}\, b^{3} c^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+2 \sqrt{a c}\, a^{3} d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-5 \sqrt{b d}\, a^{2} b \,c^{2} d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 \sqrt{b d}\, a \,b^{2} c^{3} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-4 \sqrt{b d}\, \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} d^{2} x +8 \sqrt{b d}\, \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b c d x -6 \sqrt{b d}\, \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{2} x -2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, a b \,c^{2}\right)}{2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, \sqrt{b x +a}\, a^{2} b x}"," ",0,"1/2*(d*x+c)^(1/2)*(2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^2*b*d^3*(a*c)^(1/2)-5*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a*b^2*c^2*d*(b*d)^(1/2)+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*b^3*c^3*(b*d)^(1/2)+2*(a*c)^(1/2)*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^3*d^3-5*(b*d)^(1/2)*a^2*b*c^2*d*x*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+3*(b*d)^(1/2)*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a*b^2*c^3-4*(b*d)^(1/2)*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*d^2*x+8*(b*d)^(1/2)*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b*c*d*x-6*(b*d)^(1/2)*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^2*c^2*x-2*a*b*c^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*(a*c)^(1/2))/a^2/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/x/(a*c)^(1/2)/(b*x+a)^(1/2)/b","B"
773,1,507,122,0.028000," ","int((d*x+c)^(5/2)/x^3/(b*x+a)^(3/2),x)","-\frac{\sqrt{d x +c}\, \left(15 a^{2} b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 a \,b^{2} c^{2} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 b^{3} c^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a^{3} c \,d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 a^{2} b \,c^{2} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a \,b^{2} c^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-16 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} d^{2} x^{2}+50 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a b c d \,x^{2}-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{2} c^{2} x^{2}+18 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} c d x -10 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a b \,c^{2} x +4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} c^{2}\right)}{8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, \sqrt{b x +a}\, a^{3} x^{2}}"," ",0,"-1/8*(d*x+c)^(1/2)*(15*a^2*b*c*d^2*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-30*a*b^2*c^2*d*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+15*b^3*c^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+15*a^3*c*d^2*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-30*a^2*b*c^2*d*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+15*a*b^2*c^3*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-16*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*d^2*x^2+50*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b*c*d*x^2-30*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*b^2*c^2*x^2+18*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*c*d*x-10*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b*c^2*x+4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*c^2)/a^3/((b*x+a)*(d*x+c))^(1/2)/x^2/(a*c)^(1/2)/(b*x+a)^(1/2)","B"
774,1,704,192,0.029000," ","int((d*x+c)^(5/2)/x^4/(b*x+a)^(3/2),x)","-\frac{\sqrt{d x +c}\, \left(15 a^{3} b \,d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-135 a^{2} b^{2} c \,d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+225 a \,b^{3} c^{2} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-105 b^{4} c^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a^{4} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-135 a^{3} b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+225 a^{2} b^{2} c^{2} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-105 a \,b^{3} c^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+162 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,d^{2} x^{3}-380 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c d \,x^{3}+210 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{2} x^{3}+66 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} d^{2} x^{2}-136 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b c d \,x^{2}+70 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c^{2} x^{2}+52 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c d x -28 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,c^{2} x +16 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c^{2}\right)}{48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, \sqrt{b x +a}\, a^{4} x^{3}}"," ",0,"-1/48*(d*x+c)^(1/2)*(15*a^3*b*d^3*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-135*a^2*b^2*c*d^2*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+225*a*b^3*c^2*d*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-105*b^4*c^3*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+15*a^4*d^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-135*a^3*b*c*d^2*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+225*a^2*b^2*c^2*d*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-105*a*b^3*c^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+162*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*b*d^2*x^3-380*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b^2*c*d*x^3+210*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^3*c^2*x^3+66*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^3*d^2*x^2-136*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*b*c*d*x^2+70*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b^2*c^2*x^2+52*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^3*c*d*x-28*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*b*c^2*x+16*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^3*c^2)/a^4/((b*x+a)*(d*x+c))^(1/2)/x^3/(a*c)^(1/2)/(b*x+a)^(1/2)","B"
775,1,982,274,0.033000," ","int((d*x+c)^(5/2)/x^5/(b*x+a)^(3/2),x)","\frac{\sqrt{d x +c}\, \left(15 a^{4} b \,d^{4} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+180 a^{3} b^{2} c \,d^{3} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-1350 a^{2} b^{3} c^{2} d^{2} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+2100 a \,b^{4} c^{3} d \,x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-945 b^{5} c^{4} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a^{5} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+180 a^{4} b c \,d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-1350 a^{3} b^{2} c^{2} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+2100 a^{2} b^{3} c^{3} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-945 a \,b^{4} c^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b \,d^{3} x^{4}+1678 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{2} c \,d^{2} x^{4}-3570 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{3} c^{2} d \,x^{4}+1890 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{4} c^{3} x^{4}-30 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} d^{3} x^{3}+674 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b c \,d^{2} x^{3}-1274 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{2} c^{2} d \,x^{3}+630 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{3} c^{3} x^{3}-236 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} c \,d^{2} x^{2}+488 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b \,c^{2} d \,x^{2}-252 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{2} c^{3} x^{2}-272 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} c^{2} d x +144 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b \,c^{3} x -96 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} c^{3}\right)}{384 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, \sqrt{b x +a}\, a^{5} c \,x^{4}}"," ",0,"1/384*(d*x+c)^(1/2)*(15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^4*b*d^4+180*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^3*b^2*c*d^3-1350*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^2*b^3*c^2*d^2+2100*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a*b^4*c^3*d-945*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*b^5*c^4+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^5*d^4+180*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^4*b*c*d^3-1350*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^3*b^2*c^2*d^2+2100*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^2*b^3*c^3*d-945*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a*b^4*c^4-30*x^4*a^3*b*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+1678*x^4*a^2*b^2*c*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-3570*x^4*a*b^3*c^2*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+1890*x^4*b^4*c^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-30*x^3*a^4*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+674*x^3*a^3*b*c*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-1274*x^3*a^2*b^2*c^2*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+630*x^3*a*b^3*c^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-236*x^2*a^4*c*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+488*x^2*a^3*b*c^2*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-252*x^2*a^2*b^2*c^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-272*x*a^4*c^2*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+144*x*a^3*b*c^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-96*a^4*c^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/c/a^5/((b*x+a)*(d*x+c))^(1/2)/x^4/(a*c)^(1/2)/(b*x+a)^(1/2)","B"
776,1,1369,222,0.036000," ","int(x^4/(b*x+a)^(3/2)/(d*x+c)^(3/2),x)","\frac{15 a^{4} b \,d^{5} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-12 a^{3} b^{2} c \,d^{4} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-6 a^{2} b^{3} c^{2} d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-12 a \,b^{4} c^{3} d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 b^{5} c^{4} d \,x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 a^{5} d^{5} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a^{4} b c \,d^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-18 a^{3} b^{2} c^{2} d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-18 a^{2} b^{3} c^{3} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a \,b^{4} c^{4} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 b^{5} c^{5} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 a^{5} c \,d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-12 a^{4} b \,c^{2} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-6 a^{3} b^{2} c^{3} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-12 a^{2} b^{3} c^{4} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{2} d^{4} x^{3}+15 a \,b^{4} c^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{3} c \,d^{3} x^{3}+4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{4} c^{2} d^{2} x^{3}-10 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b \,d^{4} x^{2}+10 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{2} c \,d^{3} x^{2}+10 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{3} c^{2} d^{2} x^{2}-10 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{4} c^{3} d \,x^{2}-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{4} d^{4} x +4 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b c \,d^{3} x +20 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{2} c^{2} d^{2} x +4 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{3} c^{3} d x -30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{4} c^{4} x -30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{4} c \,d^{3}+14 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b \,c^{2} d^{2}+14 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{2} c^{3} d -30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{3} c^{4}}{8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \left(a d -b c \right)^{2} \sqrt{b x +a}\, \sqrt{d x +c}\, b^{3} d^{3}}"," ",0,"1/8*(15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b^4*c^5+15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^5*d^5+15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b^5*c^5+15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^5*c*d^4+4*x^3*a^2*b^2*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-30*x*a^4*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+4*x^3*b^4*c^2*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-12*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^3*b^2*c*d^4-6*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^2*b^3*c^2*d^3-12*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a*b^4*c^3*d^2+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^4*b*c*d^4-18*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^3*b^2*c^2*d^3-18*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*b^3*c^3*d^2+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b^4*c^4*d-10*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*a^3*b*d^4-10*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*b^4*c^3*d+14*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^3*b*c^2*d^2+14*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*b^2*c^3*d-30*x*b^4*c^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-30*a^4*c*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-30*a*b^3*c^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^4*b*d^5+15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*b^5*c^4*d-12*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^4*b*c^2*d^3-6*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*b^2*c^3*d^2-12*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b^3*c^4*d-8*x^3*a*b^3*c*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+10*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*a^2*b^2*c*d^3+10*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*a*b^3*c^2*d^2+4*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a^3*b*c*d^3+20*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a^2*b^2*c^2*d^2+4*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a*b^3*c^3*d)/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(a*d-b*c)^2/(b*x+a)^(1/2)/(d*x+c)^(1/2)/b^3/d^3","B"
777,1,906,147,0.029000," ","int(x^3/(b*x+a)^(3/2)/(d*x+c)^(3/2),x)","-\frac{3 a^{3} b \,d^{4} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 a^{2} b^{2} c \,d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 a \,b^{3} c^{2} d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 b^{4} c^{3} d \,x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a^{4} d^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-6 a^{2} b^{2} c^{2} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 b^{4} c^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a^{4} c \,d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 a^{3} b \,c^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 a^{2} b^{2} c^{3} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a \,b^{3} c^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b \,d^{3} x^{2}+4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} c \,d^{2} x^{2}-2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} c^{2} d \,x^{2}-6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} d^{3} x +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b c \,d^{2} x +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} c^{2} d x -6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} c^{3} x -6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} c \,d^{2}+4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b \,c^{2} d -6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} c^{3}}{2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(a d -b c \right)^{2} \sqrt{b d}\, \sqrt{b x +a}\, \sqrt{d x +c}\, b^{2} d^{2}}"," ",0,"-1/2*(3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^3*b*d^4-3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^2*b^2*c*d^3-3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a*b^3*c^2*d^2+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*b^4*c^3*d+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^4*d^4-6*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*b^2*c^2*d^2+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b^4*c^4-2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^2*a^2*b*d^3+4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^2*a*b^2*c*d^2-2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^2*b^3*c^2*d+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^4*c*d^3-3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*b*c^2*d^2-3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b^2*c^3*d+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b^3*c^4-6*x*a^3*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x*a^2*b*c*d^2+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x*a*b^2*c^2*d-6*x*b^3*c^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-6*a^3*c*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*b*c^2*d-6*a*b^2*c^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/((b*x+a)*(d*x+c))^(1/2)/(a*d-b*c)^2/(b*d)^(1/2)/(b*x+a)^(1/2)/(d*x+c)^(1/2)/b^2/d^2","B"
778,1,654,110,0.026000," ","int(x^2/(b*x+a)^(3/2)/(d*x+c)^(3/2),x)","\frac{a^{2} b \,d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-2 a \,b^{2} c \,d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+b^{3} c^{2} d \,x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+a^{3} d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-a^{2} b c \,d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-a \,b^{2} c^{2} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+b^{3} c^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+a^{3} c \,d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-2 a^{2} b \,c^{2} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+a \,b^{2} c^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-2 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} d^{2} x -2 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{2} c^{2} x -2 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} c d -2 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a b \,c^{2}}{\sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(a d -b c \right)^{2} \sqrt{b d}\, \sqrt{b x +a}\, \sqrt{d x +c}\, b d}"," ",0,"(ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^2*b*d^3-2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a*b^2*c*d^2+ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*b^3*c^2*d+ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^3*d^3-ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*b*c*d^2-ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b^2*c^2*d+ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b^3*c^3+ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*c*d^2-2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b*c^2*d+ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b^2*c^3-2*x*a^2*d^2*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-2*x*b^2*c^2*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-2*a^2*c*d*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-2*a*b*c^2*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/((b*x+a)*(d*x+c))^(1/2)/(a*d-b*c)^2/(b*d)^(1/2)/(b*x+a)^(1/2)/(d*x+c)^(1/2)/b/d","B"
779,1,53,67,0.006000," ","int(x/(b*x+a)^(3/2)/(d*x+c)^(3/2),x)","\frac{2 a d x +2 b c x +4 a c}{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}"," ",0,"2*(a*d*x+b*c*x+2*a*c)/(b*x+a)^(1/2)/(d*x+c)^(1/2)/(a^2*d^2-2*a*b*c*d+b^2*c^2)","A"
780,1,52,54,0.000000," ","int(1/(b*x+a)^(3/2)/(d*x+c)^(3/2),x)","-\frac{2 \left(2 b d x +a d +b c \right)}{\sqrt{b x +a}\, \sqrt{d x +c}\, \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}"," ",0,"-2*(2*b*d*x+a*d+b*c)/(b*x+a)^(1/2)/(d*x+c)^(1/2)/(a^2*d^2-2*a*b*c*d+b^2*c^2)","A"
781,1,638,101,0.034000," ","int(1/x/(b*x+a)^(3/2)/(d*x+c)^(3/2),x)","\frac{-a^{2} b \,d^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+2 a \,b^{2} c \,d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-b^{3} c^{2} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-a^{3} d^{3} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+a^{2} b c \,d^{2} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+a \,b^{2} c^{2} d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-b^{3} c^{3} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-a^{3} c \,d^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+2 a^{2} b \,c^{2} d \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-a \,b^{2} c^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a b \,d^{2} x +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{2} c d x +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} d^{2}+2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{2} c^{2}}{\sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(a d -b c \right)^{2} \sqrt{a c}\, \sqrt{b x +a}\, \sqrt{d x +c}\, a c}"," ",0,"(-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*b*d^3+2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a*b^2*c*d^2-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*b^3*c^2*d-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^3*d^3+ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^2*b*c*d^2+ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a*b^2*c^2*d-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*b^3*c^3-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a^3*c*d^2+2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a^2*b*c^2*d-ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a*b^2*c^3+2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x*a*b*d^2+2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x*b^2*c*d+2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*d^2+2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*b^2*c^2)/c/a/((b*x+a)*(d*x+c))^(1/2)/(a*d-b*c)^2/(a*c)^(1/2)/(b*x+a)^(1/2)/(d*x+c)^(1/2)","B"
782,1,897,161,0.040000," ","int(1/x^2/(b*x+a)^(3/2)/(d*x+c)^(3/2),x)","\frac{3 a^{3} b \,d^{4} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3 a^{2} b^{2} c \,d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3 a \,b^{3} c^{2} d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 b^{4} c^{3} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 a^{4} d^{4} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 a^{2} b^{2} c^{2} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 b^{4} c^{4} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 a^{4} c \,d^{3} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3 a^{3} b \,c^{2} d^{2} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3 a^{2} b^{2} c^{3} d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 a \,b^{3} c^{4} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,d^{3} x^{2}+4 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c \,d^{2} x^{2}-6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{2} d \,x^{2}-6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} d^{3} x +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b c \,d^{2} x +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c^{2} d x -6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{3} x -2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c \,d^{2}+4 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,c^{2} d -2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c^{3}}{2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(a d -b c \right)^{2} \sqrt{a c}\, \sqrt{b x +a}\, \sqrt{d x +c}\, a^{2} c^{2} x}"," ",0,"1/2/a^2/c^2*(3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^3*b*d^4-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^2*b^2*c*d^3-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a*b^3*c^2*d^2+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*b^4*c^3*d+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^4*d^4-6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*b^2*c^2*d^2+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*b^4*c^4+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^4*c*d^3-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^3*b*c^2*d^2-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^2*b^2*c^3*d+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a*b^3*c^4-6*x^2*a^2*b*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+4*x^2*a*b^2*c*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-6*x^2*b^3*c^2*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-6*x*a^3*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+2*x*a^2*b*c*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+2*x*a*b^2*c^2*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-6*x*b^3*c^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-2*a^3*c*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+4*a^2*b*c^2*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-2*a*b^2*c^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/((b*x+a)*(d*x+c))^(1/2)/(a*d-b*c)^2/x/(a*c)^(1/2)/(b*x+a)^(1/2)/(d*x+c)^(1/2)","B"
783,1,1372,230,0.044000," ","int(1/x^3/(b*x+a)^(3/2)/(d*x+c)^(3/2),x)","-\frac{15 a^{4} b \,d^{5} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-12 a^{3} b^{2} c \,d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 a^{2} b^{3} c^{2} d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-12 a \,b^{4} c^{3} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 b^{5} c^{4} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a^{5} d^{5} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 a^{4} b c \,d^{4} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-18 a^{3} b^{2} c^{2} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-18 a^{2} b^{3} c^{3} d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 a \,b^{4} c^{4} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 b^{5} c^{5} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a^{5} c \,d^{4} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-12 a^{4} b \,c^{2} d^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 a^{3} b^{2} c^{3} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-12 a^{2} b^{3} c^{4} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a \,b^{4} c^{5} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b \,d^{4} x^{3}+14 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{2} c \,d^{3} x^{3}+14 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{3} c^{2} d^{2} x^{3}-30 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{4} c^{3} d \,x^{3}-30 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} d^{4} x^{2}+4 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b c \,d^{3} x^{2}+20 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{2} c^{2} d^{2} x^{2}+4 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{3} c^{3} d \,x^{2}-30 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{4} c^{4} x^{2}-10 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} c \,d^{3} x +10 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b \,c^{2} d^{2} x +10 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{2} c^{3} d x -10 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{3} c^{4} x +4 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} c^{2} d^{2}-8 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b \,c^{3} d +4 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{2} c^{4}}{8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(a d -b c \right)^{2} \sqrt{a c}\, \sqrt{b x +a}\, \sqrt{d x +c}\, a^{3} c^{3} x^{2}}"," ",0,"-1/8/a^3/c^3*(15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^5*d^5+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*b^5*c^5-10*x*a*b^3*c^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a*b^4*c^5-30*x^2*a^4*d^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-30*x^2*b^4*c^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+4*a^4*c^2*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+4*a^2*b^2*c^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^4*b*d^5+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*b^5*c^4*d+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^5*c*d^4-8*a^3*b*c^3*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-12*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^3*b^2*c*d^4-6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^2*b^3*c^2*d^3-12*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a*b^4*c^3*d^2+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^4*b*c*d^4-18*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^3*b^2*c^2*d^3-18*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^2*b^3*c^3*d^2+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a*b^4*c^4*d-12*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^4*b*c^2*d^3-6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^3*b^2*c^3*d^2-12*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*b^3*c^4*d-30*x^3*a^3*b*d^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-30*x^3*b^4*c^3*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-10*x*a^4*c*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+14*x^3*a^2*b^2*c*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+14*x^3*a*b^3*c^2*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+4*x^2*a^3*b*c*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+20*x^2*a^2*b^2*c^2*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+4*x^2*a*b^3*c^3*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+10*x*a^3*b*c^2*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+10*x*a^2*b^2*c^3*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/((b*x+a)*(d*x+c))^(1/2)/(a*d-b*c)^2/x^2/(a*c)^(1/2)/(b*x+a)^(1/2)/(d*x+c)^(1/2)","B"
784,1,2228,315,0.043000," ","int(x^5/(b*x+a)^(3/2)/(d*x+c)^(5/2),x)","\frac{45 a^{5} b \,d^{7} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-45 a^{4} b^{2} c \,d^{6} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-30 a^{3} b^{3} c^{2} d^{5} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-90 a^{2} b^{4} c^{3} d^{4} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+225 a \,b^{5} c^{4} d^{3} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-105 b^{6} c^{5} d^{2} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+45 a^{6} d^{7} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+45 a^{5} b c \,d^{6} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-120 a^{4} b^{2} c^{2} d^{5} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-150 a^{3} b^{3} c^{3} d^{4} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+45 a^{2} b^{4} c^{4} d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+345 a \,b^{5} c^{5} d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-210 b^{6} c^{6} d \,x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+90 a^{6} c \,d^{6} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-45 a^{5} b \,c^{2} d^{5} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-105 a^{4} b^{2} c^{3} d^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-210 a^{3} b^{3} c^{4} d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+12 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} b^{2} d^{6} x^{4}+360 a^{2} b^{4} c^{5} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-36 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{3} c \,d^{5} x^{4}+15 a \,b^{5} c^{6} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+36 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{4} c^{2} d^{4} x^{4}-105 b^{6} c^{7} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-12 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{5} c^{3} d^{3} x^{4}+45 a^{6} c^{2} d^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-45 a^{5} b \,c^{3} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-30 a^{4} b^{2} c^{4} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{4} b \,d^{6} x^{3}-90 a^{3} b^{3} c^{5} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} b^{2} c \,d^{5} x^{3}+225 a^{2} b^{4} c^{6} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+36 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{3} c^{2} d^{4} x^{3}-105 a \,b^{5} c^{7} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-96 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{4} c^{3} d^{3} x^{3}+42 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{5} c^{4} d^{2} x^{3}-90 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{5} d^{6} x^{2}+132 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} b^{2} c^{2} d^{4} x^{2}+24 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{3} c^{3} d^{3} x^{2}-474 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{4} c^{4} d^{2} x^{2}+280 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{5} c^{5} d \,x^{2}-180 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{5} c \,d^{5} x +90 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{4} b \,c^{2} d^{4} x +168 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} b^{2} c^{3} d^{3} x -444 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{3} c^{4} d^{2} x -100 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{4} c^{5} d x +210 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{5} c^{6} x -90 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{5} c^{2} d^{4}+60 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{4} b \,c^{3} d^{3}+72 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} b^{2} c^{4} d^{2}-380 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{3} c^{5} d +210 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{4} c^{6}}{24 \left(a d -b c \right)^{3} \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, b^{3} d^{4}}"," ",0,"1/24*(45*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^6*d^7-105*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b^6*c^7+45*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^6*c^2*d^5-105*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b^5*c^7+12*x^4*a^3*b^2*d^6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-90*x^2*a^5*d^6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+72*a^3*b^2*c^4*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-380*a^2*b^3*c^5*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-45*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a^4*b^2*c*d^6-30*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a^3*b^3*c^2*d^5-90*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a^2*b^4*c^3*d^4+225*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a*b^5*c^4*d^3+45*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^5*b*c*d^6-120*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^4*b^2*c^2*d^5-150*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^3*b^3*c^3*d^4+45*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^2*b^4*c^4*d^3+345*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a*b^5*c^5*d^2-45*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^5*b*c^2*d^5-105*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^4*b^2*c^3*d^4-210*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^3*b^3*c^4*d^3+360*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*b^4*c^5*d^2+15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b^5*c^6*d-36*x^4*a^2*b^3*c*d^5*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+36*x^4*a*b^4*c^2*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+48*x^3*a^3*b^2*c*d^5*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+36*x^3*a^2*b^3*c^2*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-96*x^3*a*b^4*c^3*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+132*x^2*a^3*b^2*c^2*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+24*x^2*a^2*b^3*c^3*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-474*x^2*a*b^4*c^4*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+90*x*a^4*b*c^2*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+168*x*a^3*b^2*c^3*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-444*x*a^2*b^3*c^4*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-100*x*a*b^4*c^5*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+210*x*b^5*c^6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-90*a^5*c^2*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+210*a*b^4*c^6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+45*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a^5*b*d^7-105*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*b^6*c^5*d^2-210*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*b^6*c^6*d+90*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^6*c*d^6-45*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^5*b*c^3*d^4-30*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^4*b^2*c^4*d^3-90*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*b^3*c^5*d^2+225*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b^4*c^6*d-12*x^4*b^5*c^3*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-30*x^3*a^4*b*d^6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+42*x^3*b^5*c^4*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+280*x^2*b^5*c^5*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-180*x*a^5*c*d^5*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+60*a^4*b*c^3*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(a*d-b*c)^3/(b*d)^(1/2)/((b*x+a)*(d*x+c))^(1/2)/d^4/b^3/(d*x+c)^(3/2)/(b*x+a)^(1/2)","B"
785,1,1714,223,0.033000," ","int(x^4/(b*x+a)^(3/2)/(d*x+c)^(5/2),x)","-\frac{9 a^{4} b \,d^{6} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-12 a^{3} b^{2} c \,d^{5} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-18 a^{2} b^{3} c^{2} d^{4} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+36 a \,b^{4} c^{3} d^{3} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 b^{5} c^{4} d^{2} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+9 a^{5} d^{6} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+6 a^{4} b c \,d^{5} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-42 a^{3} b^{2} c^{2} d^{4} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+57 a \,b^{4} c^{4} d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-30 b^{5} c^{5} d \,x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+18 a^{5} c \,d^{5} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 a^{4} b \,c^{2} d^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-48 a^{3} b^{2} c^{3} d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+54 a^{2} b^{3} c^{4} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+6 a \,b^{4} c^{5} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 b^{5} c^{6} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+9 a^{5} c^{2} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-12 a^{4} b \,c^{3} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-18 a^{3} b^{2} c^{4} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} b \,d^{5} x^{3}+36 a^{2} b^{3} c^{5} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+18 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{2} c \,d^{4} x^{3}-15 a \,b^{4} c^{6} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-18 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{3} c^{2} d^{3} x^{3}+6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{4} c^{3} d^{2} x^{3}-18 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{4} d^{5} x^{2}+6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} b c \,d^{4} x^{2}+18 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{2} c^{2} d^{3} x^{2}-78 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{3} c^{3} d^{2} x^{2}+40 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{4} c^{4} d \,x^{2}-36 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{4} c \,d^{4} x +30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} b \,c^{2} d^{3} x -66 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{2} c^{3} d^{2} x -22 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{3} c^{4} d x +30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{4} c^{5} x -18 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{4} c^{2} d^{3}+18 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} b \,c^{3} d^{2}-62 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{2} c^{4} d +30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{3} c^{5}}{6 \sqrt{b d}\, \left(a d -b c \right)^{3} \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, b^{2} d^{3}}"," ",0,"-1/6*(-18*x^2*a^4*d^5*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+9*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^5*d^6-15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b^5*c^6+9*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^5*c^2*d^4-15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b^4*c^6-6*x^3*a^3*b*d^5*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+6*x^3*b^4*c^3*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+40*x^2*b^4*c^4*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-36*x*a^4*c*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+18*a^3*b*c^3*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-62*a^2*b^2*c^4*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-12*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a^3*b^2*c*d^5-18*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a^2*b^3*c^2*d^4+36*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a*b^4*c^3*d^3+6*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^4*b*c*d^5-42*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^3*b^2*c^2*d^4+57*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a*b^4*c^4*d^2-15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^4*b*c^2*d^4-48*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^3*b^2*c^3*d^3+54*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*b^3*c^4*d^2+6*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b^4*c^5*d+18*x^3*a^2*b^2*c*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-18*x^3*a*b^3*c^2*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+6*x^2*a^3*b*c*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+18*x^2*a^2*b^2*c^2*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-78*x^2*a*b^3*c^3*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+30*x*a^3*b*c^2*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-66*x*a^2*b^2*c^3*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-22*x*a*b^3*c^4*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+30*x*b^4*c^5*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-18*a^4*c^2*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+30*a*b^3*c^5*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+9*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a^4*b*d^6-15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*b^5*c^4*d^2-30*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*b^5*c^5*d+18*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^5*c*d^5-12*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^4*b*c^3*d^3-18*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*b^2*c^4*d^2+36*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b^3*c^5*d)/(b*d)^(1/2)/(a*d-b*c)^3/((b*x+a)*(d*x+c))^(1/2)/d^3/b^2/(d*x+c)^(3/2)/(b*x+a)^(1/2)","B"
786,1,1289,143,0.032000," ","int(x^3/(b*x+a)^(3/2)/(d*x+c)^(5/2),x)","\frac{3 a^{3} b \,d^{5} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-9 a^{2} b^{2} c \,d^{4} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+9 a \,b^{3} c^{2} d^{3} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 b^{4} c^{3} d^{2} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a^{4} d^{5} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 a^{3} b c \,d^{4} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-9 a^{2} b^{2} c^{2} d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 a \,b^{3} c^{3} d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-6 b^{4} c^{4} d \,x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+6 a^{4} c \,d^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 a^{3} b \,c^{2} d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+9 a^{2} b^{2} c^{3} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a \,b^{3} c^{4} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 b^{4} c^{5} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a^{4} c^{2} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-9 a^{3} b \,c^{3} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+9 a^{2} b^{2} c^{4} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 a \,b^{3} c^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} d^{4} x^{2}-18 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} c^{2} d^{2} x^{2}+8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} c^{3} d \,x^{2}-12 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} c \,d^{3} x -18 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b \,c^{2} d^{2} x -8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} c^{3} d x +6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} c^{4} x -6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} c^{2} d^{2}-16 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b \,c^{3} d +6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} c^{4}}{3 \sqrt{b d}\, \left(a d -b c \right)^{3} \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, b \,d^{2}}"," ",0,"1/3*(-6*x^2*a^3*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^4*c^2*d^3-3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a*b^3*c^5+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^4*d^5-3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*b^4*c^5+8*x^2*b^3*c^3*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-12*x*a^3*c*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-16*a^2*b*c^3*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-9*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a^2*b^2*c*d^4+9*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a*b^3*c^2*d^3-3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^3*b*c*d^4-9*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^2*b^2*c^2*d^3+15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a*b^3*c^3*d^2-15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^3*b*c^2*d^3+9*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*b^2*c^3*d^2+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b^3*c^4*d-18*x^2*a*b^2*c^2*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-18*x*a^2*b*c^2*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-8*x*a*b^2*c^3*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+6*x*b^3*c^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-6*a^3*c^2*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+6*a*b^2*c^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a^3*b*d^5-3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*b^4*c^3*d^2-6*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*b^4*c^4*d+6*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^4*c*d^4-9*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*b*c^3*d^2+9*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b^2*c^4*d)/(b*d)^(1/2)/(a*d-b*c)^3/((b*x+a)*(d*x+c))^(1/2)/d^2/b/(d*x+c)^(3/2)/(b*x+a)^(1/2)","B"
787,1,111,135,0.008000," ","int(x^2/(b*x+a)^(3/2)/(d*x+c)^(5/2),x)","\frac{2 a^{2} d^{2} x^{2}+4 a b c d \,x^{2}-\frac{2}{3} b^{2} c^{2} x^{2}+8 a^{2} c d x +\frac{8}{3} a b \,c^{2} x +\frac{16}{3} a^{2} c^{2}}{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{3}{2}} \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right)}"," ",0,"2/3*(3*a^2*d^2*x^2+6*a*b*c*d*x^2-b^2*c^2*x^2+12*a^2*c*d*x+4*a*b*c^2*x+8*a^2*c^2)/(b*x+a)^(1/2)/(d*x+c)^(3/2)/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)","A"
788,1,115,102,0.010000," ","int(x/(b*x+a)^(3/2)/(d*x+c)^(5/2),x)","-\frac{2 \left(6 a b \,d^{2} x^{2}+2 b^{2} c d \,x^{2}+3 a^{2} d^{2} x +10 a b c d x +3 b^{2} c^{2} x +2 a^{2} c d +6 a b \,c^{2}\right)}{3 \sqrt{b x +a}\, \left(d x +c \right)^{\frac{3}{2}} \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right)}"," ",0,"-2/3*(6*a*b*d^2*x^2+2*b^2*c*d*x^2+3*a^2*d^2*x+10*a*b*c*d*x+3*b^2*c^2*x+2*a^2*c*d+6*a*b*c^2)/(b*x+a)^(1/2)/(d*x+c)^(3/2)/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)","A"
789,1,104,82,0.008000," ","int(1/(b*x+a)^(3/2)/(d*x+c)^(5/2),x)","-\frac{2 \left(-8 b^{2} x^{2} d^{2}-4 a b \,d^{2} x -12 b^{2} c d x +a^{2} d^{2}-6 a b c d -3 b^{2} c^{2}\right)}{3 \sqrt{b x +a}\, \left(d x +c \right)^{\frac{3}{2}} \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right)}"," ",0,"-2/3*(-8*b^2*d^2*x^2-4*a*b*d^2*x-12*b^2*c*d*x+a^2*d^2-6*a*b*c*d-3*b^2*c^2)/(b*x+a)^(1/2)/(d*x+c)^(3/2)/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)","A"
790,1,1253,152,0.039000," ","int(1/x/(b*x+a)^(3/2)/(d*x+c)^(5/2),x)","-\frac{3 a^{3} b \,d^{5} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-9 a^{2} b^{2} c \,d^{4} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+9 a \,b^{3} c^{2} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3 b^{4} c^{3} d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 a^{4} d^{5} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3 a^{3} b c \,d^{4} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-9 a^{2} b^{2} c^{2} d^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a \,b^{3} c^{3} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 b^{4} c^{4} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+6 a^{4} c \,d^{4} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-15 a^{3} b \,c^{2} d^{3} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+9 a^{2} b^{2} c^{3} d^{2} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 a \,b^{3} c^{4} d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3 b^{4} c^{5} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 a^{4} c^{2} d^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-9 a^{3} b \,c^{3} d^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+9 a^{2} b^{2} c^{4} d \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3 a \,b^{3} c^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,d^{4} x^{2}+16 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c \,d^{3} x^{2}+6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{2} d^{2} x^{2}-6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} d^{4} x +8 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b c \,d^{3} x +18 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c^{2} d^{2} x +12 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{3} d x -8 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c \,d^{3}+18 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,c^{2} d^{2}+6 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{4}}{3 \sqrt{a c}\, \left(a d -b c \right)^{3} \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, a \,c^{2}}"," ",0,"-1/3*(-9*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^2*b^2*c*d^4+6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^4*c*d^4+6*b^3*c^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^4*d^5-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*b^4*c^5+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a^4*c^2*d^3-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a*b^3*c^5-9*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a^3*b*c^3*d^2+9*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a^2*b^2*c^4*d-6*x*a^3*d^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-8*a^3*c*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^3*b*d^5-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*b^4*c^3*d^2-6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*b^4*c^4*d+9*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a*b^3*c^2*d^3-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^3*b*c*d^4-9*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*b^2*c^2*d^3+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a*b^3*c^3*d^2-15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^3*b*c^2*d^3+9*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^2*b^2*c^3*d^2+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a*b^3*c^4*d-6*x^2*a^2*b*d^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+6*x^2*b^3*c^2*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+12*x*b^3*c^3*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+18*a^2*b*c^2*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+16*x^2*a*b^2*c*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+8*x*a^2*b*c*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+18*x*a*b^2*c^2*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/a/c^2/(a*c)^(1/2)/(a*d-b*c)^3/((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(3/2)/(b*x+a)^(1/2)","B"
791,1,1692,232,0.048000," ","int(1/x^2/(b*x+a)^(3/2)/(d*x+c)^(5/2),x)","\frac{15 a^{4} b \,d^{6} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-36 a^{3} b^{2} c \,d^{5} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+18 a^{2} b^{3} c^{2} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+12 a \,b^{4} c^{3} d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-9 b^{5} c^{4} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a^{5} d^{6} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 a^{4} b c \,d^{5} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-54 a^{3} b^{2} c^{2} d^{4} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+48 a^{2} b^{3} c^{3} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a \,b^{4} c^{4} d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-18 b^{5} c^{5} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+30 a^{5} c \,d^{5} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-57 a^{4} b \,c^{2} d^{4} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+42 a^{2} b^{3} c^{4} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 a \,b^{4} c^{5} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-9 b^{5} c^{6} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a^{5} c^{2} d^{4} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-36 a^{4} b \,c^{3} d^{3} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+18 a^{3} b^{2} c^{4} d^{2} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+12 a^{2} b^{3} c^{5} d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-9 a \,b^{4} c^{6} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} b \,d^{5} x^{3}+62 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b^{2} c \,d^{4} x^{3}-18 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{3} c^{2} d^{3} x^{3}+18 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{4} c^{3} d^{2} x^{3}-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} d^{5} x^{2}+22 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} b c \,d^{4} x^{2}+66 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b^{2} c^{2} d^{3} x^{2}-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{3} c^{3} d^{2} x^{2}+36 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{4} c^{4} d \,x^{2}-40 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} c \,d^{4} x +78 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} b \,c^{2} d^{3} x -18 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b^{2} c^{3} d^{2} x -6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{3} c^{4} d x +18 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{4} c^{5} x -6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} c^{2} d^{3}+18 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} b \,c^{3} d^{2}-18 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b^{2} c^{4} d +6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{3} c^{5}}{6 \sqrt{a c}\, \left(a d -b c \right)^{3} \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, a^{2} c^{3} x}"," ",0,"1/6*(15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^5*d^6-9*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*b^5*c^6-30*x^2*a^4*d^5*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-30*x^3*a^3*b*d^5*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+36*x^2*b^4*c^4*d*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-40*x*a^4*c*d^4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+18*a^3*b*c^3*d^2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-18*a^2*b^2*c^4*d*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-36*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^3*b^2*c*d^5+18*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^2*b^3*c^2*d^4+12*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a*b^4*c^3*d^3-6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^4*b*c*d^5-54*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^3*b^2*c^2*d^4+48*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^2*b^3*c^3*d^3+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a*b^4*c^4*d^2-57*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^4*b*c^2*d^4+42*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*b^3*c^4*d^2-6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a*b^4*c^5*d-36*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^4*b*c^3*d^3+18*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^3*b^2*c^4*d^2+12*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^2*b^3*c^5*d-6*x*a*b^3*c^4*d*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+62*x^3*a^2*b^2*c*d^4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-18*x^3*a*b^3*c^2*d^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+22*x^2*a^3*b*c*d^4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+66*x^2*a^2*b^2*c^2*d^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-30*x^2*a*b^3*c^3*d^2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+78*x*a^3*b*c^2*d^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-18*x*a^2*b^2*c^3*d^2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+18*x*b^4*c^5*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-6*a^4*c^2*d^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+6*a*b^3*c^5*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^4*b*d^6-9*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*b^5*c^4*d^2-18*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*b^5*c^5*d+30*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^5*c*d^5+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^5*c^2*d^4-9*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a*b^4*c^6+18*x^3*b^4*c^3*d^2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2))/c^3/a^2/(a*c)^(1/2)/x/(a*d-b*c)^3/((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(3/2)/(b*x+a)^(1/2)","B"
792,1,2216,317,0.056000," ","int(1/x^3/(b*x+a)^(3/2)/(d*x+c)^(5/2),x)","-\frac{105 a^{5} b \,d^{7} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-225 a^{4} b^{2} c \,d^{6} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+90 a^{3} b^{3} c^{2} d^{5} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+30 a^{2} b^{4} c^{3} d^{4} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+45 a \,b^{5} c^{4} d^{3} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-45 b^{6} c^{5} d^{2} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+105 a^{6} d^{7} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-15 a^{5} b c \,d^{6} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-360 a^{4} b^{2} c^{2} d^{5} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+210 a^{3} b^{3} c^{3} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+105 a^{2} b^{4} c^{4} d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+45 a \,b^{5} c^{5} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-90 b^{6} c^{6} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+210 a^{6} c \,d^{6} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-345 a^{5} b \,c^{2} d^{5} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-45 a^{4} b^{2} c^{3} d^{4} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+150 a^{3} b^{3} c^{4} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+120 a^{2} b^{4} c^{5} d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-45 a \,b^{5} c^{6} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-45 b^{6} c^{7} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+105 a^{6} c^{2} d^{5} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-225 a^{5} b \,c^{3} d^{4} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+90 a^{4} b^{2} c^{4} d^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+30 a^{3} b^{3} c^{5} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+45 a^{2} b^{4} c^{6} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-45 a \,b^{5} c^{7} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-210 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} b \,d^{6} x^{4}+380 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} b^{2} c \,d^{5} x^{4}-72 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b^{3} c^{2} d^{4} x^{4}-60 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{4} c^{3} d^{3} x^{4}+90 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{5} c^{4} d^{2} x^{4}-210 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{5} d^{6} x^{3}+100 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} b c \,d^{5} x^{3}+444 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} b^{2} c^{2} d^{4} x^{3}-168 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b^{3} c^{3} d^{3} x^{3}-90 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{4} c^{4} d^{2} x^{3}+180 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{5} c^{5} d \,x^{3}-280 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{5} c \,d^{5} x^{2}+474 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} b \,c^{2} d^{4} x^{2}-24 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} b^{2} c^{3} d^{3} x^{2}-132 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b^{3} c^{4} d^{2} x^{2}+90 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{5} c^{6} x^{2}-42 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{5} c^{2} d^{4} x +96 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} b \,c^{3} d^{3} x -36 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} b^{2} c^{4} d^{2} x -48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b^{3} c^{5} d x +30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{4} c^{6} x +12 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{5} c^{3} d^{3}-36 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} b \,c^{4} d^{2}+36 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} b^{2} c^{5} d -12 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b^{3} c^{6}}{24 \sqrt{a c}\, \left(a d -b c \right)^{3} \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}\, a^{3} c^{4} x^{2}}"," ",0,"-1/24*(180*x^3*b^5*c^5*d*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-210*x^3*a^5*d^6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^6*d^7-45*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*b^6*c^7+90*x^2*b^5*c^6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+12*a^5*c^3*d^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-12*a^2*b^3*c^6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^5*b*d^7-45*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*b^6*c^5*d^2-90*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*b^6*c^6*d+210*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^6*c*d^6+105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^6*c^2*d^5-45*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a*b^5*c^7-280*x^2*a^5*c*d^5*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-42*x*a^5*c^2*d^4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+30*x*a*b^4*c^6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-36*a^4*b*c^4*d^2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+36*a^3*b^2*c^5*d*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-225*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^4*b^2*c*d^6+90*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^3*b^3*c^2*d^5+30*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^2*b^4*c^3*d^4+45*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a*b^5*c^4*d^3-15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^5*b*c*d^6-360*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^4*b^2*c^2*d^5+210*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^3*b^3*c^3*d^4+105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^2*b^4*c^4*d^3+45*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a*b^5*c^5*d^2-345*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^5*b*c^2*d^5-45*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^4*b^2*c^3*d^4+150*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^3*b^3*c^4*d^3+120*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^2*b^4*c^5*d^2-45*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a*b^5*c^6*d-225*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^5*b*c^3*d^4+90*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^4*b^2*c^4*d^3+30*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^3*b^3*c^5*d^2+45*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*b^4*c^6*d-210*x^4*a^4*b*d^6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+90*x^4*b^5*c^4*d^2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+96*x*a^4*b*c^3*d^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-36*x*a^3*b^2*c^4*d^2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-48*x*a^2*b^3*c^5*d*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+380*x^4*a^3*b^2*c*d^5*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-72*x^4*a^2*b^3*c^2*d^4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-60*x^4*a*b^4*c^3*d^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+100*x^3*a^4*b*c*d^5*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+444*x^3*a^3*b^2*c^2*d^4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-168*x^3*a^2*b^3*c^3*d^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-90*x^3*a*b^4*c^4*d^2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+474*x^2*a^4*b*c^2*d^4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-24*x^2*a^3*b^2*c^3*d^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-132*x^2*a^2*b^3*c^4*d^2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2))/c^4/a^3/(a*c)^(1/2)/x^2/(a*d-b*c)^3/((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(3/2)/(b*x+a)^(1/2)","B"
793,1,1762,447,0.045000," ","int(x^4*(d*x+c)^(5/2)/(b*x+a)^(5/2),x)","-\frac{\sqrt{d x +c}\, \left(-768 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{6} d^{4} x^{6}+45045 a^{5} b^{2} d^{5} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-86625 a^{4} b^{3} c \,d^{4} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+47250 a^{3} b^{4} c^{2} d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-5250 a^{2} b^{5} c^{3} d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-375 a \,b^{6} c^{4} d \,x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+1248 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{5} d^{4} x^{5}-45 b^{7} c^{5} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-2016 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{6} c \,d^{3} x^{5}+90090 a^{6} b \,d^{5} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-173250 a^{5} b^{2} c \,d^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+94500 a^{4} b^{3} c^{2} d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-10500 a^{3} b^{4} c^{3} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-750 a^{2} b^{5} c^{4} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-2288 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{4} d^{4} x^{4}-90 a \,b^{6} c^{5} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3776 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{5} c \,d^{3} x^{4}-1488 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{6} c^{2} d^{2} x^{4}+45045 a^{7} d^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-86625 a^{6} b c \,d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+47250 a^{5} b^{2} c^{2} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-5250 a^{4} b^{3} c^{3} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-375 a^{3} b^{4} c^{4} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+5148 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b^{3} d^{4} x^{3}-45 a^{2} b^{5} c^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-8756 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{4} c \,d^{3} x^{3}+3668 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{5} c^{2} d^{2} x^{3}-60 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{6} c^{3} d \,x^{3}-18018 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} b^{2} d^{4} x^{2}+32076 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b^{3} c \,d^{3} x^{2}-14808 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{4} c^{2} d^{2} x^{2}+660 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{5} c^{3} d \,x^{2}+90 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{6} c^{4} x^{2}-120120 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{5} b \,d^{4} x +194964 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} b^{2} c \,d^{3} x -77292 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b^{3} c^{2} d^{2} x +1500 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{4} c^{3} d x +180 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{5} c^{4} x -90090 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{6} d^{4}+143220 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{5} b c \,d^{3}-54768 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} b^{2} c^{2} d^{2}+780 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b^{3} c^{3} d +90 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{4} c^{4}\right)}{3840 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \left(b x +a \right)^{\frac{3}{2}} b^{7} d^{2}}"," ",0,"-1/3840*(d*x+c)^(1/2)*(45045*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^5*b^2*d^5-86625*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^4*b^3*c*d^4+45045*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^7*d^5-45*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b^5*c^5-45*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*b^7*c^5-90090*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^6*d^4+3776*x^4*a*b^5*c*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+32076*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*a^3*b^3*c*d^3-14808*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*a^2*b^4*c^2*d^2+194964*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a^4*b^2*c*d^3-77292*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a^3*b^3*c^2*d^2+660*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*a*b^5*c^3*d+1500*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a^2*b^4*c^3*d-8756*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^3*a^2*b^4*c*d^3+3668*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^3*a*b^5*c^2*d^2+47250*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^3*b^4*c^2*d^3-5250*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^2*b^5*c^3*d^2-18018*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*a^4*b^2*d^4-173250*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^5*b^2*c*d^4+94500*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^4*b^3*c^2*d^3-10500*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^3*b^4*c^3*d^2-120120*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a^5*b*d^4+143220*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^5*b*c*d^3-54768*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^4*b^2*c^2*d^2+5148*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^3*a^3*b^3*d^4-60*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^3*b^6*c^3*d+180*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a*b^5*c^4+780*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^3*b^3*c^3*d-375*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a*b^6*c^4*d-750*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*b^5*c^4*d+1248*x^5*a*b^5*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-2016*x^5*b^6*c*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-2288*x^4*a^2*b^4*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-1488*x^4*b^6*c^2*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+90090*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^6*b*d^5-86625*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^6*b*c*d^4+47250*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^5*b^2*c^2*d^3-5250*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^4*b^3*c^3*d^2+90*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*b^6*c^4+90*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*b^4*c^4-375*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*b^4*c^4*d-90*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b^6*c^5-768*x^6*b^6*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(b*x+a)^(3/2)/b^7/d^2","B"
794,1,1366,333,0.034000," ","int(x^3*(d*x+c)^(5/2)/(b*x+a)^(5/2),x)","\frac{\sqrt{d x +c}\, \left(3465 a^{4} b^{2} d^{4} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-6300 a^{3} b^{3} c \,d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3150 a^{2} b^{4} c^{2} d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-300 a \,b^{5} c^{3} d \,x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 b^{6} c^{4} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+96 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{5} d^{3} x^{5}+6930 a^{5} b \,d^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-12600 a^{4} b^{2} c \,d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+6300 a^{3} b^{3} c^{2} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-600 a^{2} b^{4} c^{3} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-30 a \,b^{5} c^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-176 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{4} d^{3} x^{4}+272 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{5} c \,d^{2} x^{4}+3465 a^{6} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-6300 a^{5} b c \,d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3150 a^{4} b^{2} c^{2} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-300 a^{3} b^{3} c^{3} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 a^{2} b^{4} c^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+396 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{3} d^{3} x^{3}-632 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{4} c \,d^{2} x^{3}+236 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{5} c^{2} d \,x^{3}-1386 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b^{2} d^{3} x^{2}+2322 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{3} c \,d^{2} x^{2}-966 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{4} c^{2} d \,x^{2}+30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{5} c^{3} x^{2}-9240 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} b \,d^{3} x +14028 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b^{2} c \,d^{2} x -4944 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{3} c^{2} d x +60 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{4} c^{3} x -6930 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{5} d^{3}+10290 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} b c \,d^{2}-3486 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} b^{2} c^{2} d +30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{3} c^{3}\right)}{384 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \left(b x +a \right)^{\frac{3}{2}} b^{6} d}"," ",0,"1/384*(d*x+c)^(1/2)*(3465*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^6*d^4-15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b^4*c^4-15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*b^6*c^4-6930*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^5*d^3-600*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*b^4*c^3*d+3465*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^4*b^2*d^4-300*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a*b^5*c^3*d+60*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x*a*b^4*c^3-3486*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^3*b^2*c^2*d+396*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^3*a^2*b^3*d^3+236*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^3*b^5*c^2*d-176*x^4*a*b^4*d^3*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+272*x^4*b^5*c*d^2*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-1386*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*a^3*b^2*d^3-12600*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^4*b^2*c*d^3+6300*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^3*b^3*c^2*d^2-9240*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a^4*b*d^3+10290*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^4*b*c*d^2-6300*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^3*b^3*c*d^3+3150*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^2*b^4*c^2*d^2+6930*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^5*b*d^4-6300*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^5*b*c*d^3+3150*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^4*b^2*c^2*d^2-30*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b^5*c^4-300*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*b^3*c^3*d+30*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^2*b^5*c^3+30*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*b^3*c^3+96*x^5*b^5*d^3*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+2322*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*a^2*b^3*c*d^2+14028*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a^3*b^2*c*d^2-632*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^3*a*b^4*c*d^2-966*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^2*a*b^4*c^2*d-4944*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x*a^2*b^3*c^2*d)/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(b*x+a)^(3/2)/b^6/d","B"
795,1,1002,275,0.031000," ","int(x^2*(d*x+c)^(5/2)/(b*x+a)^(5/2),x)","-\frac{\sqrt{d x +c}\, \left(315 a^{3} b^{2} d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-525 a^{2} b^{3} c \,d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+225 a \,b^{4} c^{2} d \,x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 b^{5} c^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+630 a^{4} b \,d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-1050 a^{3} b^{2} c \,d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+450 a^{2} b^{3} c^{2} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-30 a \,b^{4} c^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-16 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{4} d^{2} x^{4}+315 a^{5} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-525 a^{4} b c \,d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+225 a^{3} b^{2} c^{2} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-15 a^{2} b^{3} c^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+36 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{3} d^{2} x^{3}-52 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{4} c d \,x^{3}-126 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{2} d^{2} x^{2}+192 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{3} c d \,x^{2}-66 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{4} c^{2} x^{2}-840 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b \,d^{2} x +1148 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{2} c d x -324 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{3} c^{2} x -630 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} d^{2}+840 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b c d -226 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{2} c^{2}\right)}{48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \left(b x +a \right)^{\frac{3}{2}} b^{5}}"," ",0,"-1/48*(d*x+c)^(1/2)*(-16*x^4*b^4*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+315*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^3*b^2*d^3-525*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^2*b^3*c*d^2+225*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a*b^4*c^2*d-15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*b^5*c^3+36*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^3*a*b^3*d^2-52*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^3*b^4*c*d+630*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^4*b*d^3-1050*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^3*b^2*c*d^2+450*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*b^3*c^2*d-30*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b^4*c^3-126*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*a^2*b^2*d^2+192*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*a*b^3*c*d-66*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^2*b^4*c^2+315*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^5*d^3-525*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^4*b*c*d^2+225*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*b^2*c^2*d-15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b^3*c^3-840*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a^3*b*d^2+1148*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a^2*b^2*c*d-324*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x*a*b^3*c^2-630*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^4*d^2+840*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^3*b*c*d-226*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*b^2*c^2)/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(b*x+a)^(3/2)/b^5","B"
796,1,750,184,0.024000," ","int(x*(d*x+c)^(5/2)/(b*x+a)^(5/2),x)","\frac{\sqrt{d x +c}\, \left(105 a^{2} b^{2} d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-150 a \,b^{3} c \,d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+45 b^{4} c^{2} d \,x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+210 a^{3} b \,d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-300 a^{2} b^{2} c \,d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+90 a \,b^{3} c^{2} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+105 a^{4} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-150 a^{3} b c \,d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+45 a^{2} b^{2} c^{2} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+12 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} d^{2} x^{3}-42 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} d^{2} x^{2}+54 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} c d \,x^{2}-280 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b \,d^{2} x +316 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} c d x -48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{3} c^{2} x -210 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} d^{2}+230 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b c d -32 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{2} c^{2}\right)}{24 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \left(b x +a \right)^{\frac{3}{2}} b^{4}}"," ",0,"1/24*(d*x+c)^(1/2)*(105*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^2*b^2*d^3-150*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a*b^3*c*d^2+45*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*b^4*c^2*d+12*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^3*d^2*x^3+210*a^3*b*d^3*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-300*a^2*b^2*c*d^2*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+90*a*b^3*c^2*d*x*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-42*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b^2*d^2*x^2+54*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^3*c*d*x^2+105*a^4*d^3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-150*a^3*b*c*d^2*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))+45*a^2*b^2*c^2*d*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))-280*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*b*d^2*x+316*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b^2*c*d*x-48*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*b^3*c^2*x-210*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^3*d^2+230*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^2*b*c*d-32*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a*b^2*c^2)/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(b*x+a)^(3/2)/b^4","B"
797,0,0,100,0.000000," ","int((d*x+c)^(5/2)/(b*x+a)^(5/2),x)","\int \frac{\left(d x +c \right)^{\frac{5}{2}}}{\left(b x +a \right)^{\frac{5}{2}}}\, dx"," ",0,"int((d*x+c)^(5/2)/(b*x+a)^(5/2),x)","F"
798,1,566,123,0.026000," ","int((d*x+c)^(5/2)/x/(b*x+a)^(5/2),x)","\frac{\sqrt{d x +c}\, \left(3 \sqrt{a c}\, a^{2} b^{2} d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 \sqrt{b d}\, b^{4} c^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+6 \sqrt{a c}\, a^{3} b \,d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-6 \sqrt{b d}\, a \,b^{3} c^{3} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 \sqrt{a c}\, a^{4} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-3 \sqrt{b d}\, a^{2} b^{2} c^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} b \,d^{2} x +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, a \,b^{2} c d x +6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, b^{3} c^{2} x -6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, a^{3} d^{2}-2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, a^{2} b c d +8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, a \,b^{2} c^{2}\right)}{3 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, \sqrt{a c}\, \left(b x +a \right)^{\frac{3}{2}} a^{2} b^{2}}"," ",0,"1/3*(d*x+c)^(1/2)*(3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^2*b^2*d^3*(a*c)^(1/2)-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*b^4*c^3*(b*d)^(1/2)+6*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^3*b*d^3*(a*c)^(1/2)-6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a*b^3*c^3*(b*d)^(1/2)+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^4*d^3*(a*c)^(1/2)-3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a^2*b^2*c^3*(b*d)^(1/2)-8*x*a^2*b*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)+2*x*a*b^2*c*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)+6*x*b^3*c^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)-6*a^3*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)-2*a^2*b*c*d*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*(a*c)^(1/2)+8*a*b^2*c^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*(a*c)^(1/2))/a^2/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(a*c)^(1/2)/(b*x+a)^(3/2)/b^2","B"
799,1,502,116,0.026000," ","int((d*x+c)^(5/2)/x^2/(b*x+a)^(5/2),x)","-\frac{\sqrt{d x +c}\, \left(15 a \,b^{2} c^{2} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-15 b^{3} c^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+30 a^{2} b \,c^{2} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 a \,b^{2} c^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a^{3} c^{2} d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-15 a^{2} b \,c^{3} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-4 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} d^{2} x^{2}-20 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a b c d \,x^{2}+30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{2} c^{2} x^{2}-28 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} c d x +40 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a b \,c^{2} x +6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} c^{2}\right)}{6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, \left(b x +a \right)^{\frac{3}{2}} a^{3} x}"," ",0,"-1/6*(d*x+c)^(1/2)*(15*a*b^2*c^2*d*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-15*b^3*c^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+30*a^2*b*c^2*d*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-30*a*b^2*c^3*x^2*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+15*a^3*c^2*d*x*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-15*a^2*b*c^3*x*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*d^2*x^2-20*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b*c*d*x^2+30*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*b^2*c^2*x^2-28*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*c*d*x+40*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b*c^2*x+6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*c^2)/a^3/((b*x+a)*(d*x+c))^(1/2)/x/(a*c)^(1/2)/(b*x+a)^(3/2)","B"
800,1,758,182,0.030000," ","int((d*x+c)^(5/2)/x^3/(b*x+a)^(5/2),x)","-\frac{\sqrt{d x +c}\, \left(45 a^{2} b^{2} c \,d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-150 a \,b^{3} c^{2} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+105 b^{4} c^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+90 a^{3} b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-300 a^{2} b^{2} c^{2} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+210 a \,b^{3} c^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+45 a^{4} c \,d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-150 a^{3} b \,c^{2} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+105 a^{2} b^{2} c^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-32 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,d^{2} x^{3}+230 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c d \,x^{3}-210 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{3} c^{2} x^{3}-48 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} d^{2} x^{2}+316 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b c d \,x^{2}-280 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c^{2} x^{2}+54 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c d x -42 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b \,c^{2} x +12 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} c^{2}\right)}{24 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, \left(b x +a \right)^{\frac{3}{2}} a^{4} x^{2}}"," ",0,"-1/24*(d*x+c)^(1/2)*(45*a^2*b^2*c*d^2*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-150*a*b^3*c^2*d*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+105*b^4*c^3*x^4*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+90*a^3*b*c*d^2*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)-300*a^2*b^2*c^2*d*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+210*a*b^3*c^3*x^3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)+45*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^4*c*d^2-150*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^3*b*c^2*d+105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*b^2*c^3-32*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*b*d^2*x^3+230*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b^2*c*d*x^3-210*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*b^3*c^2*x^3-48*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^3*d^2*x^2+316*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*b*c*d*x^2-280*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a*b^2*c^2*x^2+54*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^3*c*d*x-42*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*b*c^2*x+12*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^3*c^2)/a^4/((b*x+a)*(d*x+c))^(1/2)/x^2/(a*c)^(1/2)/(b*x+a)^(3/2)","B"
801,1,1009,234,0.041000," ","int((d*x+c)^(5/2)/x^4/(b*x+a)^(5/2),x)","-\frac{\sqrt{d x +c}\, \left(15 a^{3} b^{2} d^{3} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-225 a^{2} b^{3} c \,d^{2} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+525 a \,b^{4} c^{2} d \,x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-315 b^{5} c^{3} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+30 a^{4} b \,d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-450 a^{3} b^{2} c \,d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+1050 a^{2} b^{3} c^{2} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-630 a \,b^{4} c^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a^{5} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-225 a^{4} b c \,d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+525 a^{3} b^{2} c^{2} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-315 a^{2} b^{3} c^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+226 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{2} d^{2} x^{4}-840 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{3} c d \,x^{4}+630 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{4} c^{2} x^{4}+324 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b \,d^{2} x^{3}-1148 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{2} c d \,x^{3}+840 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{3} c^{2} x^{3}+66 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} d^{2} x^{2}-192 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b c d \,x^{2}+126 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{2} c^{2} x^{2}+52 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} c d x -36 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b \,c^{2} x +16 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} c^{2}\right)}{48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, \left(b x +a \right)^{\frac{3}{2}} a^{5} x^{3}}"," ",0,"-1/48*(d*x+c)^(1/2)*(15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^3*b^2*d^3-225*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^2*b^3*c*d^2+525*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a*b^4*c^2*d-315*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*b^5*c^3+30*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^4*b*d^3-450*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^3*b^2*c*d^2+1050*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^2*b^3*c^2*d-630*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a*b^4*c^3+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^5*d^3-225*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^4*b*c*d^2+525*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^3*b^2*c^2*d-315*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^2*b^3*c^3+226*x^4*a^2*b^2*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-840*x^4*a*b^3*c*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+630*x^4*b^4*c^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+324*x^3*a^3*b*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-1148*x^3*a^2*b^2*c*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+840*x^3*a*b^3*c^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+66*x^2*a^4*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-192*x^2*a^3*b*c*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+126*x^2*a^2*b^2*c^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+52*x*a^4*c*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-36*x*a^3*b*c^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+16*a^4*c^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/a^5/((b*x+a)*(d*x+c))^(1/2)/x^3/(a*c)^(1/2)/(b*x+a)^(3/2)","B"
802,1,1377,338,0.036000," ","int((d*x+c)^(5/2)/x^5/(b*x+a)^(5/2),x)","\frac{\sqrt{d x +c}\, \left(15 a^{4} b^{2} d^{4} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+300 a^{3} b^{3} c \,d^{3} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3150 a^{2} b^{4} c^{2} d^{2} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+6300 a \,b^{5} c^{3} d \,x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3465 b^{6} c^{4} x^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+30 a^{5} b \,d^{4} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+600 a^{4} b^{2} c \,d^{3} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6300 a^{3} b^{3} c^{2} d^{2} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+12600 a^{2} b^{4} c^{3} d \,x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6930 a \,b^{5} c^{4} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a^{6} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+300 a^{5} b c \,d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3150 a^{4} b^{2} c^{2} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+6300 a^{3} b^{3} c^{3} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-3465 a^{2} b^{4} c^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} b^{2} d^{3} x^{5}+3486 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b^{3} c \,d^{2} x^{5}-10290 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{4} c^{2} d \,x^{5}+6930 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{5} c^{3} x^{5}-60 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} b \,d^{3} x^{4}+4944 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} b^{2} c \,d^{2} x^{4}-14028 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b^{3} c^{2} d \,x^{4}+9240 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{4} c^{3} x^{4}-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{5} d^{3} x^{3}+966 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} b c \,d^{2} x^{3}-2322 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} b^{2} c^{2} d \,x^{3}+1386 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b^{3} c^{3} x^{3}-236 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{5} c \,d^{2} x^{2}+632 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} b \,c^{2} d \,x^{2}-396 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} b^{2} c^{3} x^{2}-272 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{5} c^{2} d x +176 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} b \,c^{3} x -96 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{5} c^{3}\right)}{384 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, \left(b x +a \right)^{\frac{3}{2}} a^{6} c \,x^{4}}"," ",0,"1/384*(d*x+c)^(1/2)*(-30*x^5*a^3*b^2*d^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-6930*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a*b^5*c^4-3465*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^2*b^4*c^4+6930*x^5*b^5*c^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-30*x^3*a^5*d^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^6*a^4*b^2*d^4+30*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^5*b*d^4-96*a^5*c^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-3465*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^6*b^6*c^4+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^6*d^4+3486*x^5*a^2*b^3*c*d^2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-10290*x^5*a*b^4*c^2*d*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+4944*x^4*a^3*b^2*c*d^2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-14028*x^4*a^2*b^3*c^2*d*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+966*x^3*a^4*b*c*d^2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-2322*x^3*a^3*b^2*c^2*d*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+632*x^2*a^4*b*c^2*d*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-60*x^4*a^4*b*d^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+9240*x^4*a*b^4*c^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+1386*x^3*a^2*b^3*c^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-236*x^2*a^5*c*d^2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-396*x^2*a^3*b^2*c^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-272*x*a^5*c^2*d*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+176*x*a^4*b*c^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+300*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^6*a^3*b^3*c*d^3-3150*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^6*a^2*b^4*c^2*d^2+6300*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^6*a*b^5*c^3*d+600*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^4*b^2*c*d^3-6300*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^3*b^3*c^2*d^2+12600*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^2*b^4*c^3*d+300*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^5*b*c*d^3-3150*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^4*b^2*c^2*d^2+6300*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^3*b^3*c^3*d)/c/a^6/((b*x+a)*(d*x+c))^(1/2)/x^4/(a*c)^(1/2)/(b*x+a)^(3/2)","B"
803,1,604,102,0.025000," ","int(x^2/(b*x+a)^(5/2)/(d*x+c)^(1/2),x)","\frac{\sqrt{d x +c}\, \left(3 a^{2} b^{2} d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-6 a \,b^{3} c d \,x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 b^{4} c^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+6 a^{3} b \,d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-12 a^{2} b^{2} c d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+6 a \,b^{3} c^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a^{4} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-6 a^{3} b c d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a^{2} b^{2} c^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-8 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b d x +12 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{2} c x -6 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} d +10 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b c \right)}{3 \sqrt{b d}\, \left(a d -b c \right)^{2} \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(b x +a \right)^{\frac{3}{2}} b^{2}}"," ",0,"1/3*(d*x+c)^(1/2)*(3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^2*b^2*d^2-6*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a*b^3*c*d+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*b^4*c^2+6*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^3*b*d^2-12*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*b^2*c*d+6*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b^3*c^2+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^4*d^2-6*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*b*c*d+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b^2*c^2-8*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a^2*b*d+12*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a*b^2*c-6*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^3*d+10*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*b*c)/(b*d)^(1/2)/(a*d-b*c)^2/((b*x+a)*(d*x+c))^(1/2)/b^2/(b*x+a)^(3/2)","B"
804,1,3425,401,0.050000," ","int(x^6/(b*x+a)^(5/2)/(d*x+c)^(5/2),x)","\text{output too large to display}"," ",0,"1/24*(-210*x^2*a^7*d^7*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-132*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^4*b^3*c^5*d^2+105*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^8*c^2*d^6+105*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b^6*c^8+105*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^8*d^8+105*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*b^8*c^8-270*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a^2*b^6*c^5*d^3-330*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a*b^7*c^6*d^2+150*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^7*b*c*d^7-840*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^6*b^2*c^2*d^6+330*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^5*b^3*c^3*d^5+510*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^4*b^4*c^4*d^4+330*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^3*b^5*c^5*d^3-840*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^2*b^6*c^6*d^2+150*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a*b^7*c^7*d-330*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^7*b*c^2*d^6-270*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^6*b^2*c^3*d^5+390*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^5*b^3*c^4*d^4+390*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^4*b^4*c^5*d^3-270*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^3*b^5*c^6*d^2-330*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*b^6*c^7*d+12*x^5*a^4*b^3*d^7*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+12*x^5*b^7*c^4*d^3*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-420*x*a^7*c*d^6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-420*x*a*b^6*c^7*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-270*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^4*a^5*b^3*c*d^7-42*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^4*a^5*b^2*d^7-42*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^4*b^7*c^5*d^2-280*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^3*a^6*b*d^7-280*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^3*b^7*c^6*d+470*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^6*b*c^3*d^4-132*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^5*b^2*c^4*d^3-414*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*a^4*b^3*c^3*d^4-84*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^4*a^3*b^4*c^2*d^5-84*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^4*a^2*b^5*c^3*d^4+126*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^4*a*b^6*c^4*d^3+552*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^3*a^5*b^2*c*d^6+24*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^3*a^4*b^3*c^2*d^5+126*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^4*a^4*b^3*c*d^6-90*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*a*b^6*c^6*d+660*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a^6*b*c^2*d^5+372*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a^5*b^2*c^3*d^4-456*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a^4*b^3*c^4*d^3+372*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a^3*b^4*c^5*d^2+660*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a^2*b^5*c^6*d-336*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^3*a^3*b^4*c^3*d^4+24*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^3*a^2*b^5*c^4*d^3+552*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^3*a*b^6*c^5*d^2-90*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*a^6*b*c*d^6-414*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*a^3*b^4*c^4*d^3-48*x^5*a^3*b^4*c*d^6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+72*x^5*a^2*b^5*c^2*d^5*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-48*x^5*a*b^6*c^3*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+1098*x^2*a^5*b^2*c^2*d^5*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+1098*x^2*a^2*b^5*c^5*d^2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+470*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^3*b^4*c^6*d+135*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^4*a^4*b^4*c^2*d^6+60*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^4*a^3*b^5*c^3*d^5+135*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^4*a^2*b^6*c^4*d^4-270*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^4*a*b^7*c^5*d^3-330*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a^6*b^2*c*d^7-270*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a^5*b^3*c^2*d^6+390*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a^4*b^4*c^3*d^5+390*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a^3*b^5*c^4*d^4-210*x^2*b^7*c^7*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-210*a^7*c^2*d^5*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-210*a^2*b^5*c^7*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+105*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^4*a^6*b^2*d^8+105*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^4*b^8*c^6*d^2+210*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a^7*b*d^8+210*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*b^8*c^7*d+210*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^8*c*d^7+210*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b^7*c^8-270*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^7*b*c^3*d^5+135*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^6*b^2*c^4*d^4+60*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^5*b^3*c^5*d^3+135*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^4*b^4*c^6*d^2-270*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*b^5*c^7*d)/((b*x+a)*(d*x+c))^(1/2)/(b*d)^(1/2)/(a*d-b*c)^4/(b*x+a)^(3/2)/(d*x+c)^(3/2)/b^4/d^4","B"
805,1,2748,305,0.038000," ","int(x^5/(b*x+a)^(5/2)/(d*x+c)^(5/2),x)","-\frac{15 a^{5} b^{2} d^{7} x^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-45 a^{4} b^{3} c \,d^{6} x^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+30 a^{3} b^{4} c^{2} d^{5} x^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+30 a^{2} b^{5} c^{3} d^{4} x^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-45 a \,b^{6} c^{4} d^{3} x^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 b^{7} c^{5} d^{2} x^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+30 a^{6} b \,d^{7} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-60 a^{5} b^{2} c \,d^{6} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-30 a^{4} b^{3} c^{2} d^{5} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+120 a^{3} b^{4} c^{3} d^{4} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-30 a^{2} b^{5} c^{4} d^{3} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-60 a \,b^{6} c^{5} d^{2} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+30 b^{7} c^{6} d \,x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 a^{7} d^{7} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 a^{6} b c \,d^{6} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-135 a^{5} b^{2} c^{2} d^{5} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+105 a^{4} b^{3} c^{3} d^{4} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+105 a^{3} b^{4} c^{4} d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-135 a^{2} b^{5} c^{5} d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 a \,b^{6} c^{6} d \,x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+15 b^{7} c^{7} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+30 a^{7} c \,d^{6} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-60 a^{6} b \,c^{2} d^{5} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-30 a^{5} b^{2} c^{3} d^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+120 a^{4} b^{3} c^{4} d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{4} b^{2} d^{6} x^{4}-30 a^{3} b^{4} c^{5} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+24 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} b^{3} c \,d^{5} x^{4}-60 a^{2} b^{5} c^{6} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-36 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{4} c^{2} d^{4} x^{4}+30 a \,b^{6} c^{7} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+24 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{5} c^{3} d^{3} x^{4}-6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{6} c^{4} d^{2} x^{4}+15 a^{7} c^{2} d^{5} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-45 a^{6} b \,c^{3} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+30 a^{5} b^{2} c^{4} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-40 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{5} b \,d^{6} x^{3}+30 a^{4} b^{3} c^{5} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+96 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{4} b^{2} c \,d^{5} x^{3}-45 a^{3} b^{4} c^{6} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-24 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} b^{3} c^{2} d^{4} x^{3}+15 a^{2} b^{5} c^{7} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-24 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{4} c^{3} d^{3} x^{3}+96 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{5} c^{4} d^{2} x^{3}-40 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{6} c^{5} d \,x^{3}-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{6} d^{6} x^{2}+174 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{4} b^{2} c^{2} d^{4} x^{2}-96 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} b^{3} c^{3} d^{3} x^{2}+174 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{4} c^{4} d^{2} x^{2}-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, b^{6} c^{6} x^{2}-60 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{6} c \,d^{5} x +120 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{5} b \,c^{2} d^{4} x +36 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{4} b^{2} c^{3} d^{3} x +36 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} b^{3} c^{4} d^{2} x +120 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{4} c^{5} d x -60 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a \,b^{5} c^{6} x -30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{6} c^{2} d^{4}+80 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{5} b \,c^{3} d^{3}-36 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{4} b^{2} c^{4} d^{2}+80 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} b^{3} c^{5} d -30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{2} b^{4} c^{6}}{6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(a d -b c \right)^{4} \sqrt{b d}\, \left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{3}{2}} b^{3} d^{3}}"," ",0,"-1/6*(-30*x^2*a^6*d^6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*b^7*c^7+15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^7*c^2*d^5+15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b^5*c^7+15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^7*d^7-60*x*a^6*c*d^5*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-60*x*a*b^5*c^6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-45*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^4*a^4*b^3*c*d^6+30*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^4*a^3*b^4*c^2*d^5+30*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^4*a^2*b^5*c^3*d^4-45*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^4*a*b^6*c^4*d^3-60*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a^5*b^2*c*d^6-30*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a^4*b^3*c^2*d^5+120*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a^3*b^4*c^3*d^4-30*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a^2*b^5*c^4*d^3-60*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a*b^6*c^5*d^2+15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^6*b*c*d^6-135*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^5*b^2*c^2*d^5+105*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^4*b^3*c^3*d^4+105*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^3*b^4*c^4*d^3-135*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^2*b^5*c^5*d^2+15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a*b^6*c^6*d-60*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^6*b*c^2*d^5-30*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^5*b^2*c^3*d^4+120*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^4*b^3*c^4*d^3-30*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^3*b^4*c^5*d^2-60*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*b^5*c^6*d-6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^4*a^4*b^2*d^6-6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^4*b^6*c^4*d^2-40*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^3*a^5*b*d^6-40*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^3*b^6*c^5*d+80*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^5*b*c^3*d^3-36*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^4*b^2*c^4*d^2+80*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^3*b^3*c^5*d-24*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^3*a^2*b^4*c^3*d^3+96*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^3*a*b^5*c^4*d^2+24*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^4*a^3*b^3*c*d^5-36*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^4*a^2*b^4*c^2*d^4+24*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^4*a*b^5*c^3*d^3+120*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x*a^5*b*c^2*d^4+36*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x*a^4*b^2*c^3*d^3+36*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x*a^3*b^3*c^4*d^2+120*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x*a^2*b^4*c^5*d+96*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^3*a^4*b^2*c*d^5-24*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^3*a^3*b^3*c^2*d^4+174*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^2*a^4*b^2*c^2*d^4-96*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^2*a^3*b^3*c^3*d^3+174*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x^2*a^2*b^4*c^4*d^2-30*x^2*b^6*c^6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-30*a^6*c^2*d^4*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)-30*a^2*b^4*c^6*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)+15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^4*a^5*b^2*d^7+15*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^4*b^7*c^5*d^2+30*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a^6*b*d^7+30*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*b^7*c^6*d+30*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^7*c*d^6+30*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b^6*c^7-45*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^6*b*c^3*d^4+30*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^5*b^2*c^4*d^3+30*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^4*b^3*c^5*d^2-45*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*b^4*c^6*d)/((b*x+a)*(d*x+c))^(1/2)/(a*d-b*c)^4/(b*d)^(1/2)/(b*x+a)^(3/2)/(d*x+c)^(3/2)/b^3/d^3","B"
806,1,2089,213,0.036000," ","int(x^4/(b*x+a)^(5/2)/(d*x+c)^(5/2),x)","\frac{3 a^{4} b^{2} d^{6} x^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-12 a^{3} b^{3} c \,d^{5} x^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+18 a^{2} b^{4} c^{2} d^{4} x^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-12 a \,b^{5} c^{3} d^{3} x^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 b^{6} c^{4} d^{2} x^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+6 a^{5} b \,d^{6} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-18 a^{4} b^{2} c \,d^{5} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+12 a^{3} b^{3} c^{2} d^{4} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+12 a^{2} b^{4} c^{3} d^{3} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-18 a \,b^{5} c^{4} d^{2} x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+6 b^{6} c^{5} d \,x^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a^{6} d^{6} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-27 a^{4} b^{2} c^{2} d^{4} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+48 a^{3} b^{3} c^{3} d^{3} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-27 a^{2} b^{4} c^{4} d^{2} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 b^{6} c^{6} x^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+6 a^{6} c \,d^{5} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-18 a^{5} b \,c^{2} d^{4} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+12 a^{4} b^{2} c^{3} d^{3} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+12 a^{3} b^{3} c^{4} d^{2} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-18 a^{2} b^{4} c^{5} d x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+6 a \,b^{5} c^{6} x \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+3 a^{6} c^{2} d^{4} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-12 a^{5} b \,c^{3} d^{3} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+18 a^{4} b^{2} c^{4} d^{2} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)-8 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} b \,d^{5} x^{3}-12 a^{3} b^{3} c^{5} d \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+24 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b^{2} c \,d^{4} x^{3}+3 a^{2} b^{4} c^{6} \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)+24 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{4} c^{3} d^{2} x^{3}-8 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{5} c^{4} d \,x^{3}-6 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{5} d^{5} x^{2}+6 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} b c \,d^{4} x^{2}+48 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} b^{2} c^{2} d^{3} x^{2}+48 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{3} c^{3} d^{2} x^{2}+6 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{4} c^{4} d \,x^{2}-6 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{5} c^{5} x^{2}-12 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{5} c \,d^{4} x +36 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} b \,c^{2} d^{3} x +48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} b^{2} c^{3} d^{2} x +36 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{3} c^{4} d x -12 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,b^{4} c^{5} x -6 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{5} c^{2} d^{3}+22 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{4} b \,c^{3} d^{2}+22 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}\, a^{3} b^{2} c^{4} d -6 \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} b^{3} c^{5}}{3 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(a d -b c \right)^{4} \sqrt{b d}\, \left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{3}{2}} b^{2} d^{2}}"," ",0,"1/3*(3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^6*d^6+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*b^6*c^6+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^6*c^2*d^4+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^2*b^4*c^6-12*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^4*a^3*b^3*c*d^5+18*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^4*b^2*c^4*d^2+6*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^6*c*d^5+6*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a*b^5*c^6-12*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^5*b*c^3*d^3-12*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*a^3*b^3*c^5*d-6*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^5*c^2*d^3-6*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*a^2*b^3*c^5+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^4*a^4*b^2*d^6+3*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^4*b^6*c^4*d^2+6*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a^5*b*d^6+6*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*b^6*c^5*d-6*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*a^5*d^5-6*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*b^5*c^5+48*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*a^2*b^3*c^3*d^2+6*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*a*b^4*c^4*d+36*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a^4*b*c^2*d^3+36*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a^2*b^3*c^4*d+48*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*x*a^3*b^2*c^3*d^2+24*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^3*a^3*b^2*c*d^4+24*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^3*a*b^4*c^3*d^2+6*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*a^4*b*c*d^4+48*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^2*a^3*b^2*c^2*d^3+48*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^3*b^3*c^3*d^3-27*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^2*b^4*c^4*d^2+12*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^4*b^2*c^3*d^3+12*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^3*b^3*c^4*d^2-12*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a^5*c*d^4-12*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x*a*b^4*c^5-12*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^4*a*b^5*c^3*d^3+18*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^4*a^2*b^4*c^2*d^4-18*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a^4*b^2*c*d^5-18*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a*b^5*c^4*d^2-18*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^5*b*c^2*d^4-18*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x*a^2*b^4*c^5*d+22*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^4*b*c^3*d^2+22*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2)*a^3*b^2*c^4*d+12*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a^3*b^3*c^2*d^4+12*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^3*a^2*b^4*c^3*d^3-8*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^3*a^4*b*d^5-8*(b*d)^(1/2)*((b*x+a)*(d*x+c))^(1/2)*x^3*b^5*c^4*d-27*ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*x^2*a^4*b^2*c^2*d^4)/((b*x+a)*(d*x+c))^(1/2)/(a*d-b*c)^4/(b*d)^(1/2)/(b*x+a)^(3/2)/(d*x+c)^(3/2)/b^2/d^2","B"
807,1,182,167,0.010000," ","int(x^3/(b*x+a)^(5/2)/(d*x+c)^(5/2),x)","-\frac{2 \left(-a^{3} d^{3} x^{3}+9 a^{2} b c \,d^{2} x^{3}+9 a \,b^{2} c^{2} d \,x^{3}-b^{3} c^{3} x^{3}+6 a^{3} c \,d^{2} x^{2}+36 a^{2} b \,c^{2} d \,x^{2}+6 a \,b^{2} c^{3} x^{2}+24 a^{3} c^{2} d x +24 a^{2} b \,c^{3} x +16 a^{3} c^{3}\right)}{3 \left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{3}{2}} \left(a^{4} d^{4}-4 a^{3} b c \,d^{3}+6 a^{2} b^{2} c^{2} d^{2}-4 a \,b^{3} c^{3} d +b^{4} c^{4}\right)}"," ",0,"-2/3*(-a^3*d^3*x^3+9*a^2*b*c*d^2*x^3+9*a*b^2*c^2*d*x^3-b^3*c^3*x^3+6*a^3*c*d^2*x^2+36*a^2*b*c^2*d*x^2+6*a*b^2*c^3*x^2+24*a^3*c^2*d*x+24*a^2*b*c^3*x+16*a^3*c^3)/(b*x+a)^(3/2)/(d*x+c)^(3/2)/(a^4*d^4-4*a^3*b*c*d^3+6*a^2*b^2*c^2*d^2-4*a*b^3*c^3*d+b^4*c^4)","A"
808,1,203,164,0.010000," ","int(x^2/(b*x+a)^(5/2)/(d*x+c)^(5/2),x)","\frac{\frac{4}{3} a^{2} b \,d^{3} x^{3}+8 a \,b^{2} c \,d^{2} x^{3}+\frac{4}{3} b^{3} c^{2} d \,x^{3}+2 a^{3} d^{3} x^{2}+14 a^{2} b c \,d^{2} x^{2}+14 a \,b^{2} c^{2} d \,x^{2}+2 b^{3} c^{3} x^{2}+8 a^{3} c \,d^{2} x +16 a^{2} b \,c^{2} d x +8 a \,b^{2} c^{3} x +\frac{16}{3} a^{3} c^{2} d +\frac{16}{3} a^{2} b \,c^{3}}{\left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{3}{2}} \left(a^{4} d^{4}-4 a^{3} b c \,d^{3}+6 a^{2} b^{2} c^{2} d^{2}-4 a \,b^{3} c^{3} d +b^{4} c^{4}\right)}"," ",0,"2/3*(2*a^2*b*d^3*x^3+12*a*b^2*c*d^2*x^3+2*b^3*c^2*d*x^3+3*a^3*d^3*x^2+21*a^2*b*c*d^2*x^2+21*a*b^2*c^2*d*x^2+3*b^3*c^3*x^2+12*a^3*c*d^2*x+24*a^2*b*c^2*d*x+12*a*b^2*c^3*x+8*a^3*c^2*d+8*a^2*b*c^3)/(b*x+a)^(3/2)/(d*x+c)^(3/2)/(a^4*d^4-4*a^3*b*c*d^3+6*a^2*b^2*c^2*d^2-4*a*b^3*c^3*d+b^4*c^4)","A"
809,1,198,134,0.010000," ","int(x/(b*x+a)^(5/2)/(d*x+c)^(5/2),x)","-\frac{2 \left(8 a \,b^{2} d^{3} x^{3}+8 b^{3} c \,d^{2} x^{3}+12 a^{2} b \,d^{3} x^{2}+24 a \,b^{2} c \,d^{2} x^{2}+12 b^{3} c^{2} d \,x^{2}+3 a^{3} d^{3} x +21 a^{2} b c \,d^{2} x +21 a \,b^{2} c^{2} d x +3 b^{3} c^{3} x +2 a^{3} c \,d^{2}+12 a^{2} b \,c^{2} d +2 a \,b^{2} c^{3}\right)}{3 \left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{3}{2}} \left(a^{4} d^{4}-4 a^{3} b c \,d^{3}+6 a^{2} b^{2} c^{2} d^{2}-4 a \,b^{3} c^{3} d +b^{4} c^{4}\right)}"," ",0,"-2/3*(8*a*b^2*d^3*x^3+8*b^3*c*d^2*x^3+12*a^2*b*d^3*x^2+24*a*b^2*c*d^2*x^2+12*b^3*c^2*d*x^2+3*a^3*d^3*x+21*a^2*b*c*d^2*x+21*a*b^2*c^2*d*x+3*b^3*c^3*x+2*a^3*c*d^2+12*a^2*b*c^2*d+2*a*b^2*c^3)/(b*x+a)^(3/2)/(d*x+c)^(3/2)/(a^4*d^4-4*a^3*b*c*d^3+6*a^2*b^2*c^2*d^2-4*a*b^3*c^3*d+b^4*c^4)","A"
810,1,169,113,0.008000," ","int(1/(b*x+a)^(5/2)/(d*x+c)^(5/2),x)","-\frac{2 \left(-16 b^{3} d^{3} x^{3}-24 a \,b^{2} d^{3} x^{2}-24 b^{3} c \,d^{2} x^{2}-6 a^{2} b \,d^{3} x -36 a \,b^{2} c \,d^{2} x -6 b^{3} c^{2} d x +a^{3} d^{3}-9 a^{2} b c \,d^{2}-9 a \,b^{2} c^{2} d +b^{3} c^{3}\right)}{3 \left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{3}{2}} \left(a^{4} d^{4}-4 a^{3} b c \,d^{3}+6 a^{2} b^{2} c^{2} d^{2}-4 a \,b^{3} c^{3} d +b^{4} c^{4}\right)}"," ",0,"-2/3*(-16*b^3*d^3*x^3-24*a*b^2*d^3*x^2-24*b^3*c*d^2*x^2-6*a^2*b*d^3*x-36*a*b^2*c*d^2*x-6*b^3*c^2*d*x+a^3*d^3-9*a^2*b*c*d^2-9*a*b^2*c^2*d+b^3*c^3)/(b*x+a)^(3/2)/(d*x+c)^(3/2)/(a^4*d^4-4*a^3*b*c*d^3+6*a^2*b^2*c^2*d^2-4*a*b^3*c^3*d+b^4*c^4)","A"
811,1,2033,218,0.046000," ","int(1/x/(b*x+a)^(5/2)/(d*x+c)^(5/2),x)","-\frac{3 a^{4} b^{2} d^{6} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-12 a^{3} b^{3} c \,d^{5} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+18 a^{2} b^{4} c^{2} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-12 a \,b^{5} c^{3} d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 b^{6} c^{4} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+6 a^{5} b \,d^{6} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-18 a^{4} b^{2} c \,d^{5} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+12 a^{3} b^{3} c^{2} d^{4} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+12 a^{2} b^{4} c^{3} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-18 a \,b^{5} c^{4} d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+6 b^{6} c^{5} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 a^{6} d^{6} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-27 a^{4} b^{2} c^{2} d^{4} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+48 a^{3} b^{3} c^{3} d^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-27 a^{2} b^{4} c^{4} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 b^{6} c^{6} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+6 a^{6} c \,d^{5} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-18 a^{5} b \,c^{2} d^{4} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+12 a^{4} b^{2} c^{3} d^{3} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+12 a^{3} b^{3} c^{4} d^{2} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-18 a^{2} b^{4} c^{5} d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+6 a \,b^{5} c^{6} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+3 a^{6} c^{2} d^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-12 a^{5} b \,c^{3} d^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+18 a^{4} b^{2} c^{4} d^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-12 a^{3} b^{3} c^{5} d \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} b^{2} d^{5} x^{3}+3 a^{2} b^{4} c^{6} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+22 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b^{3} c \,d^{4} x^{3}+22 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{4} c^{2} d^{3} x^{3}-6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{5} c^{3} d^{2} x^{3}-12 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} b \,d^{5} x^{2}+36 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} b^{2} c \,d^{4} x^{2}+48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b^{3} c^{2} d^{3} x^{2}+36 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{4} c^{3} d^{2} x^{2}-12 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{5} c^{4} d \,x^{2}-6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{5} d^{5} x +6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} b c \,d^{4} x +48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} b^{2} c^{2} d^{3} x +48 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b^{3} c^{3} d^{2} x +6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{4} c^{4} d x -6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{5} c^{5} x -8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{5} c \,d^{4}+24 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} b \,c^{2} d^{3}+24 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b^{3} c^{4} d -8 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{4} c^{5}}{3 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(a d -b c \right)^{4} \sqrt{a c}\, \left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{3}{2}} a^{2} c^{2}}"," ",0,"-1/3/c^2/a^2*(12*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^3*b^3*c^4*d^2-8*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^5*c*d^4+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^6*d^6+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*b^6*c^6+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a^6*c^2*d^4+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a^2*b^4*c^6+6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x*a^4*b*c*d^4+6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x*a*b^4*c^4*d+22*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^3*a^2*b^3*c*d^4+22*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^3*a*b^4*c^2*d^3+36*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^2*a^3*b^2*c*d^4+48*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^2*a^2*b^3*c^2*d^3+48*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x*a^3*b^2*c^2*d^3+48*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x*a^2*b^3*c^3*d^2+36*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^2*a*b^4*c^3*d^2-18*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^2*b^4*c^5*d-6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^3*a^3*b^2*d^5-6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^3*b^5*c^3*d^2-12*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^2*a^4*b*d^5-12*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x^2*b^5*c^4*d+24*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^4*b*c^2*d^3+24*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a^2*b^3*c^4*d-12*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^3*b^3*c*d^5+18*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^2*b^4*c^2*d^4-12*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a*b^5*c^3*d^3-18*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^4*b^2*c*d^5+12*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^3*b^3*c^2*d^4+12*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^2*b^4*c^3*d^3-18*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a*b^5*c^4*d^2-27*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^4*b^2*c^2*d^4+48*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^3*b^3*c^3*d^3-27*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*b^4*c^4*d^2-18*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^5*b*c^2*d^4+12*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^4*b^2*c^3*d^3-8*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*a*b^4*c^5-6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x*a^5*d^5-6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)*x*b^5*c^5+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^4*b^2*d^6+3*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*b^6*c^4*d^2+6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^5*b*d^6+6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*b^6*c^5*d+6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^6*c*d^5+6*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a*b^5*c^6-12*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a^5*b*c^3*d^3+18*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a^4*b^2*c^4*d^2-12*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*a^3*b^3*c^5*d)/((b*x+a)*(d*x+c))^(1/2)/(a*d-b*c)^4/(a*c)^(1/2)/(b*x+a)^(3/2)/(d*x+c)^(3/2)","B"
812,1,2703,314,0.054000," ","int(1/x^2/(b*x+a)^(5/2)/(d*x+c)^(5/2),x)","\frac{15 a^{5} b^{2} d^{7} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-45 a^{4} b^{3} c \,d^{6} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+30 a^{3} b^{4} c^{2} d^{5} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+30 a^{2} b^{5} c^{3} d^{4} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-45 a \,b^{6} c^{4} d^{3} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 b^{7} c^{5} d^{2} x^{5} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+30 a^{6} b \,d^{7} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-60 a^{5} b^{2} c \,d^{6} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 a^{4} b^{3} c^{2} d^{5} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+120 a^{3} b^{4} c^{3} d^{4} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 a^{2} b^{5} c^{4} d^{3} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-60 a \,b^{6} c^{5} d^{2} x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+30 b^{7} c^{6} d \,x^{4} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a^{7} d^{7} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a^{6} b c \,d^{6} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-135 a^{5} b^{2} c^{2} d^{5} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+105 a^{4} b^{3} c^{3} d^{4} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+105 a^{3} b^{4} c^{4} d^{3} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-135 a^{2} b^{5} c^{5} d^{2} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a \,b^{6} c^{6} d \,x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 b^{7} c^{7} x^{3} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+30 a^{7} c \,d^{6} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-60 a^{6} b \,c^{2} d^{5} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 a^{5} b^{2} c^{3} d^{4} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+120 a^{4} b^{3} c^{4} d^{3} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 a^{3} b^{4} c^{5} d^{2} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-60 a^{2} b^{5} c^{6} d \,x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+30 a \,b^{6} c^{7} x^{2} \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+15 a^{7} c^{2} d^{5} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-45 a^{6} b \,c^{3} d^{4} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+30 a^{5} b^{2} c^{4} d^{3} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+30 a^{4} b^{3} c^{5} d^{2} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} b^{2} d^{6} x^{4}-45 a^{3} b^{4} c^{6} d x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)+80 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} b^{3} c \,d^{5} x^{4}+15 a^{2} b^{5} c^{7} x \ln \left(\frac{a d x +b c x +2 a c +2 \sqrt{a c}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}}{x}\right)-36 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b^{4} c^{2} d^{4} x^{4}+80 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{5} c^{3} d^{3} x^{4}-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{6} c^{4} d^{2} x^{4}-60 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{5} b \,d^{6} x^{3}+120 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} b^{2} c \,d^{5} x^{3}+36 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} b^{3} c^{2} d^{4} x^{3}+36 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b^{4} c^{3} d^{3} x^{3}+120 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{5} c^{4} d^{2} x^{3}-60 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{6} c^{5} d \,x^{3}-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{6} d^{6} x^{2}+174 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} b^{2} c^{2} d^{4} x^{2}-96 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} b^{3} c^{3} d^{3} x^{2}+174 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b^{4} c^{4} d^{2} x^{2}-30 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, b^{6} c^{6} x^{2}-40 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{6} c \,d^{5} x +96 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{5} b \,c^{2} d^{4} x -24 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} b^{2} c^{3} d^{3} x -24 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} b^{3} c^{4} d^{2} x +96 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b^{4} c^{5} d x -40 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a \,b^{5} c^{6} x -6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{6} c^{2} d^{4}+24 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{5} b \,c^{3} d^{3}-36 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{4} b^{2} c^{4} d^{2}+24 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{3} b^{3} c^{5} d -6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{a c}\, a^{2} b^{4} c^{6}}{6 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \left(a d -b c \right)^{4} \sqrt{a c}\, \left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{3}{2}} a^{3} c^{3} x}"," ",0,"1/6/a^3/c^3*(15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^2*b^5*c^7-60*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^6*b*c^2*d^5+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^7*d^7+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*b^7*c^7+120*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^4*b^3*c^4*d^3-30*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^3*b^4*c^5*d^2-60*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*b^5*c^6*d-45*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^6*b*c^3*d^4+30*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^5*b^2*c^4*d^3+30*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^4*b^3*c^5*d^2-45*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^3*b^4*c^6*d-30*x^4*a^4*b^2*d^6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-30*x^4*b^6*c^4*d^2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-60*x^3*a^5*b*d^6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-60*x^3*b^6*c^5*d*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-40*x*a^6*c*d^5*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-40*x*a*b^5*c^6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+24*a^5*b*c^3*d^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-36*a^4*b^2*c^4*d^2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+24*a^3*b^3*c^5*d*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-45*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^4*b^3*c*d^6+30*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^3*b^4*c^2*d^5+30*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^2*b^5*c^3*d^4-45*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a*b^6*c^4*d^3-60*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^5*b^2*c*d^6-30*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^4*b^3*c^2*d^5+120*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^3*b^4*c^3*d^4-30*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^2*b^5*c^4*d^3-60*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a*b^6*c^5*d^2+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^6*b*c*d^6-135*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^5*b^2*c^2*d^5+105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^4*b^3*c^3*d^4+105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^3*b^4*c^4*d^3-135*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^2*b^5*c^5*d^2+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a*b^6*c^6*d+80*x^4*a^3*b^3*c*d^5*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-36*x^4*a^2*b^4*c^2*d^4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+80*x^4*a*b^5*c^3*d^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+120*x^3*a^4*b^2*c*d^5*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+36*x^3*a^3*b^3*c^2*d^4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+36*x^3*a^2*b^4*c^3*d^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+120*x^3*a*b^5*c^4*d^2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+174*x^2*a^4*b^2*c^2*d^4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-96*x^2*a^3*b^3*c^3*d^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+174*x^2*a^2*b^4*c^4*d^2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+96*x*a^5*b*c^2*d^4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-24*x*a^4*b^2*c^3*d^3*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-24*x*a^3*b^3*c^4*d^2*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+96*x*a^2*b^4*c^5*d*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-30*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^5*b^2*c^3*d^4-6*a^2*b^4*c^6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^5*b^2*d^7+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*b^7*c^5*d^2+30*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^6*b*d^7+30*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*b^7*c^6*d+30*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^7*c*d^6+30*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a*b^6*c^7+15*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x*a^7*c^2*d^5-30*x^2*a^6*d^6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-30*x^2*b^6*c^6*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2)-6*a^6*c^2*d^4*((b*x+a)*(d*x+c))^(1/2)*(a*c)^(1/2))/((b*x+a)*(d*x+c))^(1/2)/(a*d-b*c)^4/x/(a*c)^(1/2)/(b*x+a)^(3/2)/(d*x+c)^(3/2)","B"
813,1,3392,412,0.067000," ","int(1/x^3/(b*x+a)^(5/2)/(d*x+c)^(5/2),x)","\text{output too large to display}"," ",0,"-1/24/a^4/c^4*(-210*x^5*a^5*b^2*d^7*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^2*b^6*c^8+105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^8*d^8+105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*b^8*c^8-210*x^3*a^7*d^7*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-210*x^3*b^7*c^7*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+12*a^7*c^3*d^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+12*a^3*b^4*c^7*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^6*a^6*b^2*d^8+105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^6*b^8*c^6*d^2+210*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^7*b*d^8+210*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*b^8*c^7*d+210*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^8*c*d^7+210*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a*b^7*c^8+105*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^8*c^2*d^6+372*x^4*a^4*b^3*c^2*d^5*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-456*x^4*a^3*b^4*c^3*d^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+372*x^4*a^2*b^5*c^4*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+660*x^4*a*b^6*c^5*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-90*x^3*a^6*b*c*d^6*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+1098*x^3*a^5*b^2*c^2*d^5*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-414*x^3*a^4*b^3*c^3*d^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-414*x^3*a^3*b^4*c^4*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+1098*x^3*a^2*b^5*c^5*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-90*x^3*a*b^6*c^6*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+552*x^2*a^6*b*c^2*d^5*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+24*x^2*a^5*b^2*c^3*d^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-336*x^2*a^4*b^3*c^4*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+24*x^2*a^3*b^4*c^5*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+552*x^2*a^2*b^5*c^6*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+126*x*a^6*b*c^3*d^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-84*x*a^5*b^2*c^4*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-84*x*a^4*b^3*c^5*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+126*x*a^3*b^4*c^6*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+470*x^5*a^4*b^3*c*d^6*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-132*x^5*a^3*b^4*c^2*d^5*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-132*x^5*a^2*b^5*c^3*d^4*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+470*x^5*a*b^6*c^4*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+660*x^4*a^5*b^2*c*d^6*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-330*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^7*b*c^2*d^6-270*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^6*b^2*c^3*d^5+390*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^5*b^3*c^4*d^4+390*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^4*b^4*c^5*d^3-270*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^3*b^5*c^6*d^2-330*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^3*a^2*b^6*c^7*d-270*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^7*b*c^3*d^5+135*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^6*b^2*c^4*d^4+60*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^5*b^3*c^5*d^3+135*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^4*b^4*c^6*d^2-270*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^2*a^3*b^5*c^7*d-210*x^5*b^7*c^5*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-420*x^4*a^6*b*d^7*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-420*x^4*b^7*c^6*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-280*x^2*a^7*c*d^6*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-280*x^2*a*b^6*c^7*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-42*x*a^7*c^2*d^5*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-42*x*a^2*b^5*c^7*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-48*a^6*b*c^4*d^3*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)+72*a^5*b^2*c^5*d^2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-48*a^4*b^3*c^6*d*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2)-270*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^6*a^5*b^3*c*d^7+135*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^6*a^4*b^4*c^2*d^6+60*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^6*a^3*b^5*c^3*d^5+135*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^6*a^2*b^6*c^4*d^4-270*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^6*a*b^7*c^5*d^3-330*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^6*b^2*c*d^7-270*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^5*b^3*c^2*d^6+390*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^4*b^4*c^3*d^5+390*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^3*b^5*c^4*d^4-270*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a^2*b^6*c^5*d^3-330*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^5*a*b^7*c^6*d^2+150*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^7*b*c*d^7-840*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^6*b^2*c^2*d^6+330*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^5*b^3*c^3*d^5+510*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^4*b^4*c^4*d^4+330*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^3*b^5*c^5*d^3-840*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a^2*b^6*c^6*d^2+150*ln((a*d*x+b*c*x+2*a*c+2*(a*c)^(1/2)*((b*x+a)*(d*x+c))^(1/2))/x)*x^4*a*b^7*c^7*d)/((b*x+a)*(d*x+c))^(1/2)/(a*d-b*c)^4/x^2/(a*c)^(1/2)/(b*x+a)^(3/2)/(d*x+c)^(3/2)","B"
814,1,23,22,0.003000," ","int(x^2*(b*x+a)^(1/2)/(-b*x-a)^(1/2),x)","\frac{\sqrt{b x +a}\, x^{3}}{3 \sqrt{-b x -a}}"," ",0,"1/3*x^3*(b*x+a)^(1/2)/(-b*x-a)^(1/2)","A"
815,1,23,22,0.002000," ","int(x*(b*x+a)^(1/2)/(-b*x-a)^(1/2),x)","\frac{\sqrt{b x +a}\, x^{2}}{2 \sqrt{-b x -a}}"," ",0,"1/2*x^2*(b*x+a)^(1/2)/(-b*x-a)^(1/2)","A"
816,1,23,19,0.001000," ","int((b*x+a)^(1/2)/(-b*x-a)^(1/2),x)","-\frac{\sqrt{b x +a}\, \sqrt{-b x -a}}{b}"," ",0,"-(b*x+a)^(1/2)*(-b*x-a)^(1/2)/b","A"
817,1,22,20,0.010000," ","int((b*x+a)^(1/2)/x/(-b*x-a)^(1/2),x)","-\frac{\sqrt{-b x -a}\, \ln \left(x \right)}{\sqrt{b x +a}}"," ",0,"-1/(b*x+a)^(1/2)*(-b*x-a)^(1/2)*ln(x)","A"
818,1,23,22,0.003000," ","int((b*x+a)^(1/2)/x^2/(-b*x-a)^(1/2),x)","-\frac{\sqrt{b x +a}}{\sqrt{-b x -a}\, x}"," ",0,"-(b*x+a)^(1/2)/x/(-b*x-a)^(1/2)","A"
819,1,23,22,0.003000," ","int((b*x+a)^(1/2)/x^3/(-b*x-a)^(1/2),x)","-\frac{\sqrt{b x +a}}{2 \sqrt{-b x -a}\, x^{2}}"," ",0,"-1/2*(b*x+a)^(1/2)/x^2/(-b*x-a)^(1/2)","A"
820,1,31,32,0.002000," ","int((b*x+a)^(1/2)/(x^m)/(-b*x-a)^(1/2),x)","-\frac{\sqrt{b x +a}\, x \,x^{-m}}{\left(m -1\right) \sqrt{-b x -a}}"," ",0,"-x/(m-1)*(b*x+a)^(1/2)/(x^m)/(-b*x-a)^(1/2)","A"
821,1,25,24,0.002000," ","int(x^2*(b*x+a)^n/((-b*x-a)^n),x)","\frac{x^{3} \left(-b x -a \right)^{-n} \left(b x +a \right)^{n}}{3}"," ",0,"1/3*x^3*(b*x+a)^n/((-b*x-a)^n)","A"
822,1,25,24,0.002000," ","int(x*(b*x+a)^n/((-b*x-a)^n),x)","\frac{x^{2} \left(-b x -a \right)^{-n} \left(b x +a \right)^{n}}{2}"," ",0,"1/2*x^2*(b*x+a)^n/((-b*x-a)^n)","A"
823,1,26,21,0.024000," ","int((b*x+a)^n/((-b*x-a)^n),x)","x \,{\mathrm e}^{n \ln \left(b x +a \right)} {\mathrm e}^{-n \ln \left(-b x -a \right)}"," ",0,"x*exp(n*ln(b*x+a))/exp(n*ln(-b*x-a))","A"
824,1,56,22,0.036000," ","int((b*x+a)^n/x/((-b*x-a)^n),x)","\left(b x +a \right)^{n} {\mathrm e}^{-\left(i \pi  \mathrm{csgn}\left(i \left(b x +a \right)\right)^{3}-i \pi  \mathrm{csgn}\left(i \left(b x +a \right)\right)^{2}+\ln \left(b x +a \right)+i \pi \right) n} \ln \left(x \right)"," ",0,"ln(x)*(b*x+a)^n*exp(-n*(I*Pi*csgn(I*(b*x+a))^3-I*Pi*csgn(I*(b*x+a))^2+I*Pi+ln(b*x+a)))","C"
825,1,25,24,0.001000," ","int((b*x+a)^n/x^2/((-b*x-a)^n),x)","-\frac{\left(-b x -a \right)^{-n} \left(b x +a \right)^{n}}{x}"," ",0,"-(b*x+a)^n/x/((-b*x-a)^n)","A"
826,1,25,24,0.002000," ","int((b*x+a)^n/x^3/((-b*x-a)^n),x)","-\frac{\left(-b x -a \right)^{-n} \left(b x +a \right)^{n}}{2 x^{2}}"," ",0,"-1/2*(b*x+a)^n/x^2/((-b*x-a)^n)","A"
827,1,33,34,0.002000," ","int((b*x+a)^n/(x^m)/((-b*x-a)^n),x)","-\frac{x \,x^{-m} \left(-b x -a \right)^{-n} \left(b x +a \right)^{n}}{m -1}"," ",0,"-x/(m-1)*(b*x+a)^n/(x^m)/((-b*x-a)^n)","A"
828,1,97,58,0.017000," ","int(x^3*(x+1)^(1/2)/(-x+1)^(5/2),x)","\frac{\left(-3 \sqrt{-x^{2}+1}\, x^{3}+33 x^{2} \arcsin \left(x \right)-12 \sqrt{-x^{2}+1}\, x^{2}-66 x \arcsin \left(x \right)+71 \sqrt{-x^{2}+1}\, x +33 \arcsin \left(x \right)-52 \sqrt{-x^{2}+1}\right) \sqrt{-x +1}\, \sqrt{x +1}}{6 \left(x -1\right)^{2} \sqrt{-x^{2}+1}}"," ",0,"1/6*(-3*(-x^2+1)^(1/2)*x^3+33*arcsin(x)*x^2-12*(-x^2+1)^(1/2)*x^2-66*x*arcsin(x)+71*(-x^2+1)^(1/2)*x+33*arcsin(x)-52*(-x^2+1)^(1/2))*(-x+1)^(1/2)*(x+1)^(1/2)/(x-1)^2/(-x^2+1)^(1/2)","A"
829,1,83,47,0.013000," ","int(x^2*(x+1)^(1/2)/(-x+1)^(5/2),x)","\frac{\left(9 x^{2} \arcsin \left(x \right)-3 \sqrt{-x^{2}+1}\, x^{2}-18 x \arcsin \left(x \right)+19 \sqrt{-x^{2}+1}\, x +9 \arcsin \left(x \right)-14 \sqrt{-x^{2}+1}\right) \sqrt{-x +1}\, \sqrt{x +1}}{3 \left(x -1\right)^{2} \sqrt{-x^{2}+1}}"," ",0,"1/3*(9*x^2*arcsin(x)-3*(-x^2+1)^(1/2)*x^2-18*x*arcsin(x)+19*(-x^2+1)^(1/2)*x+9*arcsin(x)-14*(-x^2+1)^(1/2))*(-x+1)^(1/2)*(x+1)^(1/2)/(x-1)^2/(-x^2+1)^(1/2)","A"
830,1,69,31,0.010000," ","int(x*(x+1)^(1/2)/(-x+1)^(5/2),x)","\frac{\left(3 x^{2} \arcsin \left(x \right)-6 x \arcsin \left(x \right)+7 \sqrt{-x^{2}+1}\, x +3 \arcsin \left(x \right)-5 \sqrt{-x^{2}+1}\right) \sqrt{-x +1}\, \sqrt{x +1}}{3 \left(x -1\right)^{2} \sqrt{-x^{2}+1}}"," ",0,"1/3*(3*x^2*arcsin(x)-6*x*arcsin(x)+7*(-x^2+1)^(1/2)*x+3*arcsin(x)-5*(-x^2+1)^(1/2))*(-x+1)^(1/2)*(x+1)^(1/2)/(x-1)^2/(-x^2+1)^(1/2)","B"
831,1,15,14,0.003000," ","int((x+1)^(1/2)/(-x+1)^(5/2),x)","\frac{\left(x +1\right)^{\frac{3}{2}}}{3 \left(-x +1\right)^{\frac{3}{2}}}"," ",0,"1/3*(x+1)^(3/2)/(-x+1)^(3/2)","A"
832,1,13,12,0.003000," ","int((x+1)^(1/2)/(x-1)^(5/2),x)","-\frac{\left(x +1\right)^{\frac{3}{2}}}{3 \left(x -1\right)^{\frac{3}{2}}}"," ",0,"-1/3*(x+1)^(3/2)/(x-1)^(3/2)","A"
833,1,93,45,0.014000," ","int((x+1)^(1/2)/(-x+1)^(5/2)/x,x)","-\frac{\left(3 x^{2} \arctanh \left(\frac{1}{\sqrt{-x^{2}+1}}\right)-6 x \arctanh \left(\frac{1}{\sqrt{-x^{2}+1}}\right)+5 \sqrt{-x^{2}+1}\, x +3 \arctanh \left(\frac{1}{\sqrt{-x^{2}+1}}\right)-7 \sqrt{-x^{2}+1}\right) \sqrt{-x +1}\, \sqrt{x +1}}{3 \left(x -1\right)^{2} \sqrt{-x^{2}+1}}"," ",0,"-1/3*(3*arctanh(1/(-x^2+1)^(1/2))*x^2-6*arctanh(1/(-x^2+1)^(1/2))*x+5*(-x^2+1)^(1/2)*x+3*arctanh(1/(-x^2+1)^(1/2))-7*(-x^2+1)^(1/2))*(-x+1)^(1/2)*(x+1)^(1/2)/(x-1)^2/(-x^2+1)^(1/2)","B"
834,1,113,65,0.013000," ","int((x+1)^(1/2)/(-x+1)^(5/2)/x^2,x)","-\frac{\left(9 x^{3} \arctanh \left(\frac{1}{\sqrt{-x^{2}+1}}\right)-18 x^{2} \arctanh \left(\frac{1}{\sqrt{-x^{2}+1}}\right)+14 \sqrt{-x^{2}+1}\, x^{2}+9 x \arctanh \left(\frac{1}{\sqrt{-x^{2}+1}}\right)-19 \sqrt{-x^{2}+1}\, x +3 \sqrt{-x^{2}+1}\right) \sqrt{-x +1}\, \sqrt{x +1}}{3 \left(x -1\right)^{2} \sqrt{-x^{2}+1}\, x}"," ",0,"-1/3*(9*arctanh(1/(-x^2+1)^(1/2))*x^3-18*arctanh(1/(-x^2+1)^(1/2))*x^2+14*(-x^2+1)^(1/2)*x^2+9*arctanh(1/(-x^2+1)^(1/2))*x-19*(-x^2+1)^(1/2)*x+3*(-x^2+1)^(1/2))*(-x+1)^(1/2)*(x+1)^(1/2)/x/(x-1)^2/(-x^2+1)^(1/2)","A"
835,1,129,82,0.016000," ","int((x+1)^(1/2)/(-x+1)^(5/2)/x^3,x)","-\frac{\left(33 x^{4} \arctanh \left(\frac{1}{\sqrt{-x^{2}+1}}\right)-66 x^{3} \arctanh \left(\frac{1}{\sqrt{-x^{2}+1}}\right)+52 \sqrt{-x^{2}+1}\, x^{3}+33 x^{2} \arctanh \left(\frac{1}{\sqrt{-x^{2}+1}}\right)-71 \sqrt{-x^{2}+1}\, x^{2}+12 \sqrt{-x^{2}+1}\, x +3 \sqrt{-x^{2}+1}\right) \sqrt{-x +1}\, \sqrt{x +1}}{6 \left(x -1\right)^{2} \sqrt{-x^{2}+1}\, x^{2}}"," ",0,"-1/6*(33*arctanh(1/(-x^2+1)^(1/2))*x^4-66*arctanh(1/(-x^2+1)^(1/2))*x^3+52*(-x^2+1)^(1/2)*x^3+33*arctanh(1/(-x^2+1)^(1/2))*x^2-71*(-x^2+1)^(1/2)*x^2+12*(-x^2+1)^(1/2)*x+3*(-x^2+1)^(1/2))*(-x+1)^(1/2)*(x+1)^(1/2)/x^2/(x-1)^2/(-x^2+1)^(1/2)","A"
836,1,40,18,0.015000," ","int(x^2/(x-1)^(1/2)/(x+1)^(1/2),x)","\frac{\sqrt{x -1}\, \sqrt{x +1}\, \left(\sqrt{x^{2}-1}\, x +\ln \left(x +\sqrt{x^{2}-1}\right)\right)}{2 \sqrt{x^{2}-1}}"," ",0,"1/2*(x-1)^(1/2)*(x+1)^(1/2)*(x*(x^2-1)^(1/2)+ln(x+(x^2-1)^(1/2)))/(x^2-1)^(1/2)","B"
837,1,12,11,0.002000," ","int(x/(x-1)^(1/2)/(x+1)^(1/2),x)","\sqrt{x -1}\, \sqrt{x +1}"," ",0,"(x-1)^(1/2)*(x+1)^(1/2)","A"
838,1,31,2,0.003000," ","int(1/(x-1)^(1/2)/(x+1)^(1/2),x)","\frac{\sqrt{\left(x +1\right) \left(x -1\right)}\, \ln \left(x +\sqrt{x^{2}-1}\right)}{\sqrt{x -1}\, \sqrt{x +1}}"," ",0,"((x+1)*(x-1))^(1/2)/(x-1)^(1/2)/(x+1)^(1/2)*ln(x+(x^2-1)^(1/2))","B"
839,1,28,12,0.015000," ","int(1/x/(x-1)^(1/2)/(x+1)^(1/2),x)","-\frac{\sqrt{x -1}\, \sqrt{x +1}\, \arctan \left(\frac{1}{\sqrt{x^{2}-1}}\right)}{\sqrt{x^{2}-1}}"," ",0,"-(x-1)^(1/2)*(x+1)^(1/2)/(x^2-1)^(1/2)*arctan(1/(x^2-1)^(1/2))","B"
840,1,15,14,0.003000," ","int(1/x^2/(x-1)^(1/2)/(x+1)^(1/2),x)","\frac{\sqrt{x -1}\, \sqrt{x +1}}{x}"," ",0,"(x-1)^(1/2)*(x+1)^(1/2)/x","A"
841,1,52,31,0.009000," ","int(x^2*(x-1)^(1/2)*(x+1)^(1/2),x)","-\frac{\sqrt{x -1}\, \sqrt{x +1}\, \left(-2 \sqrt{x^{2}-1}\, x^{3}+\sqrt{x^{2}-1}\, x +\ln \left(x +\sqrt{x^{2}-1}\right)\right)}{8 \sqrt{x^{2}-1}}"," ",0,"-1/8*(x-1)^(1/2)*(x+1)^(1/2)*(-2*x^3*(x^2-1)^(1/2)+(x^2-1)^(1/2)*x+ln(x+(x^2-1)^(1/2)))/(x^2-1)^(1/2)","A"
842,1,13,12,0.003000," ","int(x*(x-1)^(1/2)*(x+1)^(1/2),x)","\frac{\left(x -1\right)^{\frac{3}{2}} \left(x +1\right)^{\frac{3}{2}}}{3}"," ",0,"1/3*(x-1)^(3/2)*(x+1)^(3/2)","A"
843,1,57,18,0.004000," ","int((x-1)^(1/2)*(x+1)^(1/2),x)","-\frac{\sqrt{\left(x +1\right) \left(x -1\right)}\, \ln \left(x +\sqrt{x^{2}-1}\right)}{2 \sqrt{x -1}\, \sqrt{x +1}}+\frac{\sqrt{x -1}\, \left(x +1\right)^{\frac{3}{2}}}{2}-\frac{\sqrt{x -1}\, \sqrt{x +1}}{2}"," ",0,"1/2*(x-1)^(1/2)*(x+1)^(3/2)-1/2*(x-1)^(1/2)*(x+1)^(1/2)-1/2*((x+1)*(x-1))^(1/2)/(x-1)^(1/2)/(x+1)^(1/2)*ln(x+(x^2-1)^(1/2))","B"
844,1,35,26,0.007000," ","int((x-1)^(1/2)*(x+1)^(1/2)/x,x)","\frac{\sqrt{x -1}\, \sqrt{x +1}\, \left(\arctan \left(\frac{1}{\sqrt{x^{2}-1}}\right)+\sqrt{x^{2}-1}\right)}{\sqrt{x^{2}-1}}"," ",0,"(x-1)^(1/2)*(x+1)^(1/2)/(x^2-1)^(1/2)*((x^2-1)^(1/2)+arctan(1/(x^2-1)^(1/2)))","A"
845,1,44,18,0.007000," ","int((x-1)^(1/2)*(x+1)^(1/2)/x^2,x)","\frac{\sqrt{x -1}\, \sqrt{x +1}\, \left(x \ln \left(x +\sqrt{x^{2}-1}\right)-\sqrt{x^{2}-1}\right)}{\sqrt{x^{2}-1}\, x}"," ",0,"(x-1)^(1/2)*(x+1)^(1/2)*(ln(x+(x^2-1)^(1/2))*x-(x^2-1)^(1/2))/x/(x^2-1)^(1/2)","B"
846,1,57,13,0.006000," ","int(1/(2*x+1)^(1/2)/(3+2*x)^(1/2),x)","\frac{\sqrt{\left(2 x +1\right) \left(2 x +3\right)}\, \sqrt{4}\, \ln \left(\frac{\left(4 x +4\right) \sqrt{4}}{4}+\sqrt{4 x^{2}+8 x +3}\right)}{4 \sqrt{2 x +1}\, \sqrt{2 x +3}}"," ",0,"1/4*((2*x+1)*(3+2*x))^(1/2)/(2*x+1)^(1/2)/(3+2*x)^(1/2)*ln(1/4*(4*x+4)*4^(1/2)+(4*x^2+8*x+3)^(1/2))*4^(1/2)","B"
847,1,53,25,0.020000," ","int(1/x/(-2+3*x)^(1/2)/(5*x+3)^(1/2),x)","-\frac{\sqrt{3 x -2}\, \sqrt{5 x +3}\, \sqrt{6}\, \arctan \left(\frac{\left(x +12\right) \sqrt{6}}{12 \sqrt{15 x^{2}-x -6}}\right)}{6 \sqrt{15 x^{2}-x -6}}"," ",0,"-1/6*(-2+3*x)^(1/2)*(5*x+3)^(1/2)/(15*x^2-x-6)^(1/2)*6^(1/2)*arctan(1/12*(12+x)*6^(1/2)/(15*x^2-x-6)^(1/2))","B"
848,1,51,27,0.019000," ","int(1/(x-1)^(3/2)/x/(x+1)^(3/2),x)","\frac{x^{2} \arctan \left(\frac{1}{\sqrt{x^{2}-1}}\right)-\arctan \left(\frac{1}{\sqrt{x^{2}-1}}\right)-\sqrt{x^{2}-1}}{\sqrt{x^{2}-1}\, \sqrt{x +1}\, \sqrt{x -1}}"," ",0,"(arctan(1/(x^2-1)^(1/2))*x^2-arctan(1/(x^2-1)^(1/2))-(x^2-1)^(1/2))/(x^2-1)^(1/2)/(x+1)^(1/2)/(x-1)^(1/2)","A"
849,1,15,14,0.003000," ","int(x*(-x+1)^(1/2)*(x+1)^(1/2),x)","-\frac{\left(-x +1\right)^{\frac{3}{2}} \left(x +1\right)^{\frac{3}{2}}}{3}"," ",0,"-1/3*(-x+1)^(3/2)*(x+1)^(3/2)","A"
850,1,157,107,0.014000," ","int(x^3*(3*x+2)^(3/2)*(4*x+1)^(1/2),x)","\frac{\sqrt{3 x +2}\, \sqrt{4 x +1}\, \left(1274019840 \sqrt{12 x^{2}+11 x +2}\, x^{5}+1136001024 \sqrt{12 x^{2}+11 x +2}\, x^{4}+49434624 \sqrt{12 x^{2}+11 x +2}\, x^{3}-22196736 \sqrt{12 x^{2}+11 x +2}\, x^{2}+13075104 \sqrt{12 x^{2}+11 x +2}\, x +5339375 \sqrt{3}\, \ln \left(2 \sqrt{3}\, x +\frac{11 \sqrt{3}}{12}+\sqrt{12 x^{2}+11 x +2}\right)-10579356 \sqrt{12 x^{2}+11 x +2}\right)}{2548039680 \sqrt{12 x^{2}+11 x +2}}"," ",0,"1/2548039680*(3*x+2)^(1/2)*(4*x+1)^(1/2)*(1274019840*x^5*(12*x^2+11*x+2)^(1/2)+1136001024*x^4*(12*x^2+11*x+2)^(1/2)+49434624*x^3*(12*x^2+11*x+2)^(1/2)-22196736*x^2*(12*x^2+11*x+2)^(1/2)+5339375*ln(11/12*3^(1/2)+2*3^(1/2)*x+(12*x^2+11*x+2)^(1/2))*3^(1/2)+13075104*(12*x^2+11*x+2)^(1/2)*x-10579356*(12*x^2+11*x+2)^(1/2))/(12*x^2+11*x+2)^(1/2)","A"
851,1,94,19,0.005000," ","int(1/(b*x+a-1)^(1/2)/(b*x+a+1)^(1/2),x)","\frac{\sqrt{\left(b x +a -1\right) \left(b x +a +1\right)}\, \ln \left(\frac{b^{2} x +\frac{\left(a -1\right) b}{2}+\frac{\left(a +1\right) b}{2}}{\sqrt{b^{2}}}+\sqrt{b^{2} x^{2}+\left(\left(a -1\right) b +\left(a +1\right) b \right) x +\left(a -1\right) \left(a +1\right)}\right)}{\sqrt{b x +a -1}\, \sqrt{b x +a +1}\, \sqrt{b^{2}}}"," ",0,"((b*x+a-1)*(b*x+a+1))^(1/2)/(b*x+a-1)^(1/2)/(b*x+a+1)^(1/2)*ln((1/2*b*(a-1)+1/2*b*(a+1)+b^2*x)/(b^2)^(1/2)+(b^2*x^2+(b*(a-1)+b*(a+1))*x+(a-1)*(a+1))^(1/2))/(b^2)^(1/2)","B"
852,1,91,57,0.073000," ","int(1/x^(1/2)/(-b*x+a)^(1/2)/(b*x+a)^(1/2),x)","-\frac{\sqrt{-b x +a}\, \sqrt{b x +a}\, \sqrt{\frac{b x +a}{a}}\, \sqrt{-\frac{2 \left(b x -a \right)}{a}}\, \sqrt{-\frac{b x}{a}}\, a \EllipticF \left(\sqrt{\frac{b x +a}{a}}, \frac{\sqrt{2}}{2}\right)}{\left(b^{2} x^{2}-a^{2}\right) b \sqrt{x}}"," ",0,"-1/x^(1/2)*(-b*x+a)^(1/2)*(b*x+a)^(1/2)*a*((b*x+a)/a)^(1/2)*(-2*(b*x-a)/a)^(1/2)*(-b*x/a)^(1/2)*EllipticF(((b*x+a)/a)^(1/2),1/2*2^(1/2))/b/(b^2*x^2-a^2)","A"
853,1,93,59,0.047000," ","int(1/(-x)^(1/2)/(-b*x+a)^(1/2)/(b*x+a)^(1/2),x)","-\frac{\sqrt{-b x +a}\, \sqrt{b x +a}\, \sqrt{\frac{b x +a}{a}}\, \sqrt{-\frac{2 \left(b x -a \right)}{a}}\, \sqrt{-\frac{b x}{a}}\, a \EllipticF \left(\sqrt{\frac{b x +a}{a}}, \frac{\sqrt{2}}{2}\right)}{\sqrt{-x}\, \left(b^{2} x^{2}-a^{2}\right) b}"," ",0,"-(-b*x+a)^(1/2)*(b*x+a)^(1/2)*a*((b*x+a)/a)^(1/2)*(-2*(b*x-a)/a)^(1/2)*(-1/a*b*x)^(1/2)*EllipticF(((b*x+a)/a)^(1/2),1/2*2^(1/2))/b/(-x)^(1/2)/(b^2*x^2-a^2)","A"
854,1,93,65,0.050000," ","int(1/(e*x)^(1/2)/(-b*x+a)^(1/2)/(b*x+a)^(1/2),x)","-\frac{\sqrt{-b x +a}\, \sqrt{b x +a}\, \sqrt{\frac{b x +a}{a}}\, \sqrt{-\frac{2 \left(b x -a \right)}{a}}\, \sqrt{-\frac{b x}{a}}\, a \EllipticF \left(\sqrt{\frac{b x +a}{a}}, \frac{\sqrt{2}}{2}\right)}{\sqrt{e x}\, \left(b^{2} x^{2}-a^{2}\right) b}"," ",0,"-(-b*x+a)^(1/2)*(b*x+a)^(1/2)*a*((b*x+a)/a)^(1/2)*(-2*(b*x-a)/a)^(1/2)*(-1/a*b*x)^(1/2)*EllipticF(((b*x+a)/a)^(1/2),1/2*2^(1/2))/b/(e*x)^(1/2)/(b^2*x^2-a^2)","A"
855,1,32,21,0.052000," ","int(1/x^(1/2)/(-b*x+2)^(1/2)/(b*x+2)^(1/2),x)","\frac{\sqrt{-b x}\, \EllipticF \left(\frac{\sqrt{2}\, \sqrt{b x +2}}{2}, \frac{\sqrt{2}}{2}\right)}{b \sqrt{x}}"," ",0,"EllipticF(1/2*2^(1/2)*(b*x+2)^(1/2),1/2*2^(1/2))*(-b*x)^(1/2)/x^(1/2)/b","A"
856,1,34,24,0.046000," ","int(1/(-x)^(1/2)/(-b*x+2)^(1/2)/(b*x+2)^(1/2),x)","\frac{\sqrt{-b x}\, \EllipticF \left(\frac{\sqrt{2}\, \sqrt{b x +2}}{2}, \frac{\sqrt{2}}{2}\right)}{\sqrt{-x}\, b}"," ",0,"EllipticF(1/2*2^(1/2)*(b*x+2)^(1/2),1/2*2^(1/2))*(-b*x)^(1/2)/(-x)^(1/2)/b","A"
857,1,34,29,0.049000," ","int(1/(e*x)^(1/2)/(-b*x+2)^(1/2)/(b*x+2)^(1/2),x)","\frac{\sqrt{-b x}\, \EllipticF \left(\frac{\sqrt{2}\, \sqrt{b x +2}}{2}, \frac{\sqrt{2}}{2}\right)}{\sqrt{e x}\, b}"," ",0,"EllipticF(1/2*2^(1/2)*(b*x+2)^(1/2),1/2*2^(1/2))*(-b*x)^(1/2)/(e*x)^(1/2)/b","A"
858,1,29,16,0.037000," ","int(1/(2-3*x)^(1/2)/x^(1/2)/(3*x+2)^(1/2),x)","\frac{\sqrt{3}\, \sqrt{-x}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, \frac{\sqrt{2}}{2}\right)}{3 \sqrt{x}}"," ",0,"1/3*EllipticF(1/2*(4+6*x)^(1/2),1/2*2^(1/2))*3^(1/2)*(-x)^(1/2)/x^(1/2)","A"
859,1,21,18,0.034000," ","int(1/(2-3*x)^(1/2)/(-x)^(1/2)/(3*x+2)^(1/2),x)","\frac{\sqrt{3}\, \EllipticF \left(\frac{\sqrt{6 x +4}}{2}, \frac{\sqrt{2}}{2}\right)}{3}"," ",0,"1/3*EllipticF(1/2*(6*x+4)^(1/2),1/2*2^(1/2))*3^(1/2)","A"
860,1,29,24,0.036000," ","int(1/(2-3*x)^(1/2)/(e*x)^(1/2)/(3*x+2)^(1/2),x)","-\frac{\sqrt{3}\, \sqrt{x}\, \EllipticF \left(\frac{\sqrt{-6 x +4}}{2}, \frac{\sqrt{2}}{2}\right)}{3 \sqrt{e x}}"," ",0,"-1/3*x^(1/2)*3^(1/2)*EllipticF(1/2*(-6*x+4)^(1/2),1/2*2^(1/2))/(e*x)^(1/2)","A"
861,1,24,8,0.032000," ","int(1/(-x+1)^(1/2)/x^(1/2)/(x+1)^(1/2),x)","\frac{\sqrt{2}\, \sqrt{-x}\, \EllipticF \left(\sqrt{x +1}, \frac{\sqrt{2}}{2}\right)}{\sqrt{x}}"," ",0,"2^(1/2)*(-x)^(1/2)*EllipticF((x+1)^(1/2),1/2*2^(1/2))/x^(1/2)","B"
862,1,43,8,0.009000," ","int(1/(x+1)^(1/2)/(-x^2+x)^(1/2),x)","\frac{\sqrt{-x}\, \sqrt{-2 x +2}\, \sqrt{-\left(x -1\right) x}\, \EllipticF \left(\sqrt{x +1}, \frac{\sqrt{2}}{2}\right)}{\left(-x +1\right) x}"," ",0,"1/(-x+1)/x*EllipticF((x+1)^(1/2),1/2*2^(1/2))*(-x)^(1/2)*(2-2*x)^(1/2)*(-(x-1)*x)^(1/2)","B"
863,1,32,23,0.062000," ","int(1/(b*x)^(1/2)/(-c*x+1)^(1/2)/(c*x+1)^(1/2),x)","\frac{\sqrt{2}\, \sqrt{-c x}\, \EllipticF \left(\sqrt{c x +1}, \frac{\sqrt{2}}{2}\right)}{\sqrt{b x}\, c}"," ",0,"2^(1/2)*(-c*x)^(1/2)*EllipticF((c*x+1)^(1/2),1/2*2^(1/2))/c/(b*x)^(1/2)","A"
864,1,64,29,0.066000," ","int(1/(b*x)^(1/2)/(-c*x+1)^(1/2)/(d*x+1)^(1/2),x)","-\frac{2 \sqrt{-c x +1}\, \sqrt{-\frac{\left(c x -1\right) d}{c +d}}\, \sqrt{-d x}\, \EllipticF \left(\sqrt{d x +1}, \sqrt{\frac{c}{c +d}}\right)}{\sqrt{b x}\, \left(c x -1\right) d}"," ",0,"-2*(-c*x+1)^(1/2)*(-(c*x-1)*d/(c+d))^(1/2)*(-d*x)^(1/2)*EllipticF((d*x+1)^(1/2),(c/(c+d))^(1/2))/(b*x)^(1/2)/(c*x-1)/d","B"
865,1,39,8,0.013000," ","int((x+1)^(1/2)/(-x+1)^(1/2)/x^(1/2),x)","\frac{2 \sqrt{2}\, \sqrt{-x}\, \left(-\EllipticE \left(\sqrt{x +1}, \frac{\sqrt{2}}{2}\right)+\EllipticF \left(\sqrt{x +1}, \frac{\sqrt{2}}{2}\right)\right)}{\sqrt{x}}"," ",0,"2*2^(1/2)*(-x)^(1/2)*(EllipticF((x+1)^(1/2),1/2*2^(1/2))-EllipticE((x+1)^(1/2),1/2*2^(1/2)))/x^(1/2)","B"
866,1,56,8,0.010000," ","int((x+1)^(1/2)/(-x^2+x)^(1/2),x)","-\frac{2 \left(-\EllipticE \left(\sqrt{x +1}, \frac{\sqrt{2}}{2}\right)+\EllipticF \left(\sqrt{x +1}, \frac{\sqrt{2}}{2}\right)\right) \sqrt{-x}\, \sqrt{-2 x +2}\, \sqrt{-\left(x -1\right) x}}{\left(x -1\right) x}"," ",0,"-2*(EllipticF((x+1)^(1/2),1/2*2^(1/2))-EllipticE((x+1)^(1/2),1/2*2^(1/2)))*(-x)^(1/2)*(-2*x+2)^(1/2)*(-(x-1)*x)^(1/2)/(x-1)/x","B"
867,1,49,23,0.017000," ","int((c*x+1)^(1/2)/(b*x)^(1/2)/(-c*x+1)^(1/2),x)","\frac{2 \sqrt{2}\, \sqrt{-c x}\, \left(-\EllipticE \left(\sqrt{c x +1}, \frac{\sqrt{2}}{2}\right)+\EllipticF \left(\sqrt{c x +1}, \frac{\sqrt{2}}{2}\right)\right)}{\sqrt{b x}\, c}"," ",0,"2*2^(1/2)*(-c*x)^(1/2)*(EllipticF((c*x+1)^(1/2),1/2*2^(1/2))-EllipticE((c*x+1)^(1/2),1/2*2^(1/2)))/c/(b*x)^(1/2)","B"
868,1,129,29,0.048000," ","int((c*x+1)^(1/2)/(b*x)^(1/2)/(-d*x+1)^(1/2),x)","-\frac{2 \left(-c \EllipticE \left(\sqrt{c x +1}, \sqrt{\frac{d}{c +d}}\right)+c \EllipticF \left(\sqrt{c x +1}, \sqrt{\frac{d}{c +d}}\right)-d \EllipticE \left(\sqrt{c x +1}, \sqrt{\frac{d}{c +d}}\right)+d \EllipticF \left(\sqrt{c x +1}, \sqrt{\frac{d}{c +d}}\right)\right) \sqrt{-c x}\, \sqrt{-\frac{\left(d x -1\right) c}{c +d}}\, \sqrt{-d x +1}}{\left(d x -1\right) \sqrt{b x}\, c d}"," ",0,"-2*(EllipticF((c*x+1)^(1/2),(d/(c+d))^(1/2))*c+EllipticF((c*x+1)^(1/2),(d/(c+d))^(1/2))*d-EllipticE((c*x+1)^(1/2),(d/(c+d))^(1/2))*c-EllipticE((c*x+1)^(1/2),(d/(c+d))^(1/2))*d)*(-c*x)^(1/2)*(-(d*x-1)*c/(c+d))^(1/2)*(-d*x+1)^(1/2)/(d*x-1)/(b*x)^(1/2)/c/d","B"
869,1,25,18,0.011000," ","int((-x+1)^(1/2)/x^(1/2)/(x+1)^(1/2),x)","\frac{2 \sqrt{2}\, \sqrt{-x}\, \EllipticE \left(\sqrt{x +1}, \frac{\sqrt{2}}{2}\right)}{\sqrt{x}}"," ",0,"2*2^(1/2)*(-x)^(1/2)*EllipticE((x+1)^(1/2),1/2*2^(1/2))/x^(1/2)","A"
870,1,49,18,0.012000," ","int((1/x-1)^(1/2)*(1/x)^(1/2)*x^(1/2)/(x+1)^(1/2),x)","-\frac{2 \sqrt{\frac{1}{x}}\, \sqrt{-\frac{x -1}{x}}\, \sqrt{-x}\, \sqrt{-2 x +2}\, \sqrt{x}\, \EllipticE \left(\sqrt{x +1}, \frac{\sqrt{2}}{2}\right)}{x -1}"," ",0,"-2*(1/x)^(1/2)*x^(1/2)*(-(x-1)/x)^(1/2)*EllipticE((x+1)^(1/2),1/2*2^(1/2))*(-x)^(1/2)*(-2*x+2)^(1/2)/(x-1)","B"
871,1,33,27,0.016000," ","int((-c*x+1)^(1/2)/(b*x)^(1/2)/(c*x+1)^(1/2),x)","\frac{2 \sqrt{2}\, \sqrt{-c x}\, \EllipticE \left(\sqrt{c x +1}, \frac{\sqrt{2}}{2}\right)}{\sqrt{b x}\, c}"," ",0,"2*2^(1/2)*(-c*x)^(1/2)*EllipticE((c*x+1)^(1/2),1/2*2^(1/2))/c/(b*x)^(1/2)","A"
872,1,67,33,0.017000," ","int((-c*x+1)^(1/2)/(b*x)^(1/2)/(d*x+1)^(1/2),x)","-\frac{2 \left(c +d \right) \sqrt{-d x}\, \sqrt{-\frac{\left(c x -1\right) d}{c +d}}\, \sqrt{-c x +1}\, \EllipticE \left(\sqrt{d x +1}, \sqrt{\frac{c}{c +d}}\right)}{\left(c x -1\right) \sqrt{b x}\, d^{2}}"," ",0,"-2*(c+d)*EllipticE((d*x+1)^(1/2),(1/(c+d)*c)^(1/2))*(-d*x)^(1/2)*(-(c*x-1)/(c+d)*d)^(1/2)*(-c*x+1)^(1/2)/(c*x-1)/(b*x)^(1/2)/d^2","A"
873,1,112,41,0.065000," ","int(1/(2-3*x)^(1/2)/x^(1/2)/(e*x+d)^(1/2),x)","-\frac{2 \sqrt{-\frac{e x}{d}}\, \sqrt{-\frac{\left(3 x -2\right) e}{3 d +2 e}}\, \sqrt{\frac{e x +d}{d}}\, \sqrt{-3 x +2}\, \sqrt{e x +d}\, d \EllipticF \left(\sqrt{\frac{e x +d}{d}}, \sqrt{3}\, \sqrt{\frac{d}{3 d +2 e}}\right)}{\left(3 e \,x^{2}+3 d x -2 e x -2 d \right) e \sqrt{x}}"," ",0,"-2*EllipticF(((e*x+d)/d)^(1/2),3^(1/2)*(d/(3*d+2*e))^(1/2))*(-e*x/d)^(1/2)*(-(3*x-2)*e/(3*d+2*e))^(1/2)*((e*x+d)/d)^(1/2)*d*(2-3*x)^(1/2)/x^(1/2)*(e*x+d)^(1/2)/e/(3*e*x^2+3*d*x-2*e*x-2*d)","B"
874,1,212,41,0.016000," ","int((e*x+d)^(1/2)/(-3*x+2)^(1/2)/x^(1/2),x)","-\frac{2 \sqrt{e x +d}\, \sqrt{-3 x +2}\, \sqrt{\frac{e x +d}{d}}\, \sqrt{-\frac{\left(3 x -2\right) e}{3 d +2 e}}\, \sqrt{-\frac{e x}{d}}\, \left(-3 d \EllipticE \left(\sqrt{\frac{e x +d}{d}}, \sqrt{3}\, \sqrt{\frac{d}{3 d +2 e}}\right)+3 d \EllipticF \left(\sqrt{\frac{e x +d}{d}}, \sqrt{3}\, \sqrt{\frac{d}{3 d +2 e}}\right)-2 e \EllipticE \left(\sqrt{\frac{e x +d}{d}}, \sqrt{3}\, \sqrt{\frac{d}{3 d +2 e}}\right)+2 e \EllipticF \left(\sqrt{\frac{e x +d}{d}}, \sqrt{3}\, \sqrt{\frac{d}{3 d +2 e}}\right)\right) d}{3 \left(3 e \,x^{2}+3 d x -2 e x -2 d \right) e \sqrt{x}}"," ",0,"-2/3*(e*x+d)^(1/2)*(-3*x+2)^(1/2)/x^(1/2)*d*((e*x+d)/d)^(1/2)*(-(3*x-2)/(3*d+2*e)*e)^(1/2)*(-1/d*e*x)^(1/2)*(3*d*EllipticF(((e*x+d)/d)^(1/2),3^(1/2)*(1/(3*d+2*e)*d)^(1/2))+2*EllipticF(((e*x+d)/d)^(1/2),3^(1/2)*(1/(3*d+2*e)*d)^(1/2))*e-3*EllipticE(((e*x+d)/d)^(1/2),3^(1/2)*(1/(3*d+2*e)*d)^(1/2))*d-2*EllipticE(((e*x+d)/d)^(1/2),3^(1/2)*(1/(3*d+2*e)*d)^(1/2))*e)/e/(3*e*x^2+3*d*x-2*e*x-2*d)","B"
875,0,0,590,0.189000," ","int(x^4/(-x+1)^(1/3)/(2-x)^(1/3),x)","\int \frac{x^{4}}{\left(-x +1\right)^{\frac{1}{3}} \left(-x +2\right)^{\frac{1}{3}}}\, dx"," ",0,"int(x^4/(-x+1)^(1/3)/(2-x)^(1/3),x)","F"
876,0,0,571,0.176000," ","int(x^3/(-x+1)^(1/3)/(-x+2)^(1/3),x)","\int \frac{x^{3}}{\left(-x +1\right)^{\frac{1}{3}} \left(-x +2\right)^{\frac{1}{3}}}\, dx"," ",0,"int(x^3/(-x+1)^(1/3)/(-x+2)^(1/3),x)","F"
877,0,0,564,0.178000," ","int(x^2/(-x+1)^(1/3)/(-x+2)^(1/3),x)","\int \frac{x^{2}}{\left(-x +1\right)^{\frac{1}{3}} \left(-x +2\right)^{\frac{1}{3}}}\, dx"," ",0,"int(x^2/(-x+1)^(1/3)/(-x+2)^(1/3),x)","F"
878,0,0,547,0.181000," ","int(x/(-x+1)^(1/3)/(-x+2)^(1/3),x)","\int \frac{x}{\left(-x +1\right)^{\frac{1}{3}} \left(-x +2\right)^{\frac{1}{3}}}\, dx"," ",0,"int(x/(-x+1)^(1/3)/(-x+2)^(1/3),x)","F"
879,0,0,531,0.142000," ","int(1/(-x+1)^(1/3)/(-x+2)^(1/3),x)","\int \frac{1}{\left(-x +1\right)^{\frac{1}{3}} \left(-x +2\right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(-x+1)^(1/3)/(-x+2)^(1/3),x)","F"
880,0,0,73,0.140000," ","int(1/(-x+1)^(1/3)/(-x+2)^(1/3)/x,x)","\int \frac{1}{\left(-x +1\right)^{\frac{1}{3}} \left(-x +2\right)^{\frac{1}{3}} x}\, dx"," ",0,"int(1/(-x+1)^(1/3)/(-x+2)^(1/3)/x,x)","F"
881,0,0,622,0.221000," ","int(1/(-x+1)^(1/3)/(-x+2)^(1/3)/x^2,x)","\int \frac{1}{\left(-x +1\right)^{\frac{1}{3}} \left(-x +2\right)^{\frac{1}{3}} x^{2}}\, dx"," ",0,"int(1/(-x+1)^(1/3)/(-x+2)^(1/3)/x^2,x)","F"
882,0,0,641,0.189000," ","int(1/(-x+1)^(1/3)/(-x+2)^(1/3)/x^3,x)","\int \frac{1}{\left(-x +1\right)^{\frac{1}{3}} \left(-x +2\right)^{\frac{1}{3}} x^{3}}\, dx"," ",0,"int(1/(-x+1)^(1/3)/(-x+2)^(1/3)/x^3,x)","F"
883,0,0,294,0.066000," ","int(x^3*(b*x+a)^(1/4)/(d*x+c)^(1/4),x)","\int \frac{\left(b x +a \right)^{\frac{1}{4}} x^{3}}{\left(d x +c \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^3*(b*x+a)^(1/4)/(d*x+c)^(1/4),x)","F"
884,0,0,222,0.052000," ","int(x^2*(b*x+a)^(1/4)/(d*x+c)^(1/4),x)","\int \frac{\left(b x +a \right)^{\frac{1}{4}} x^{2}}{\left(d x +c \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^2*(b*x+a)^(1/4)/(d*x+c)^(1/4),x)","F"
885,0,0,148,0.044000," ","int(x*(b*x+a)^(1/4)/(d*x+c)^(1/4),x)","\int \frac{\left(b x +a \right)^{\frac{1}{4}} x}{\left(d x +c \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x*(b*x+a)^(1/4)/(d*x+c)^(1/4),x)","F"
886,0,0,95,0.000000," ","int((b*x+a)^(1/4)/(d*x+c)^(1/4),x)","\int \frac{\left(b x +a \right)^{\frac{1}{4}}}{\left(d x +c \right)^{\frac{1}{4}}}\, dx"," ",0,"int((b*x+a)^(1/4)/(d*x+c)^(1/4),x)","F"
887,0,0,121,0.137000," ","int((b*x+a)^(1/4)/x/(d*x+c)^(1/4),x)","\int \frac{\left(b x +a \right)^{\frac{1}{4}}}{\left(d x +c \right)^{\frac{1}{4}} x}\, dx"," ",0,"int((b*x+a)^(1/4)/x/(d*x+c)^(1/4),x)","F"
888,0,0,99,0.097000," ","int((b*x+a)^(1/4)/x^2/(d*x+c)^(1/4),x)","\int \frac{\left(b x +a \right)^{\frac{1}{4}}}{\left(d x +c \right)^{\frac{1}{4}} x^{2}}\, dx"," ",0,"int((b*x+a)^(1/4)/x^2/(d*x+c)^(1/4),x)","F"
889,0,0,154,0.063000," ","int((b*x+a)^(1/4)/x^3/(d*x+c)^(1/4),x)","\int \frac{\left(b x +a \right)^{\frac{1}{4}}}{\left(d x +c \right)^{\frac{1}{4}} x^{3}}\, dx"," ",0,"int((b*x+a)^(1/4)/x^3/(d*x+c)^(1/4),x)","F"
890,0,0,220,0.068000," ","int((b*x+a)^(1/4)/x^4/(d*x+c)^(1/4),x)","\int \frac{\left(b x +a \right)^{\frac{1}{4}}}{\left(d x +c \right)^{\frac{1}{4}} x^{4}}\, dx"," ",0,"int((b*x+a)^(1/4)/x^4/(d*x+c)^(1/4),x)","F"
891,0,0,316,0.072000," ","int((b*x+a)^(1/4)/x^5/(d*x+c)^(1/4),x)","\int \frac{\left(b x +a \right)^{\frac{1}{4}}}{\left(d x +c \right)^{\frac{1}{4}} x^{5}}\, dx"," ",0,"int((b*x+a)^(1/4)/x^5/(d*x+c)^(1/4),x)","F"
892,1,451,167,0.560000," ","int(x^2*(x+1)^(1/4)/(-x+1)^(1/4),x)","\frac{\left(8 x^{2}+10 x +11\right) \left(x +1\right)^{\frac{1}{4}} \left(x -1\right) \left(\left(-x +1\right) \left(x +1\right)^{3}\right)^{\frac{1}{4}}}{24 \left(-\left(x -1\right) \left(x +1\right)^{3}\right)^{\frac{1}{4}} \left(-x +1\right)^{\frac{1}{4}}}+\frac{\left(\frac{3 \RootOf \left(\textit{\_Z}^{4}+1\right)^{3} \ln \left(\frac{\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x^{2} \RootOf \left(\textit{\_Z}^{4}+1\right)^{3}+2 \left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x \RootOf \left(\textit{\_Z}^{4}+1\right)^{3}+x^{3}-\sqrt{-x^{4}-2 x^{3}+2 x +1}\, x \RootOf \left(\textit{\_Z}^{4}+1\right)^{2}+\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} \RootOf \left(\textit{\_Z}^{4}+1\right)^{3}+2 x^{2}-\sqrt{-x^{4}-2 x^{3}+2 x +1}\, \RootOf \left(\textit{\_Z}^{4}+1\right)^{2}+x +\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{3}{4}} \RootOf \left(\textit{\_Z}^{4}+1\right)}{\left(x +1\right)^{2}}\right)}{16}+\frac{3 \RootOf \left(\textit{\_Z}^{4}+1\right) \ln \left(\frac{x^{3}+\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x^{2} \RootOf \left(\textit{\_Z}^{4}+1\right)+\sqrt{-x^{4}-2 x^{3}+2 x +1}\, x \RootOf \left(\textit{\_Z}^{4}+1\right)^{2}+\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{3}{4}} \RootOf \left(\textit{\_Z}^{4}+1\right)^{3}+2 x^{2}+2 \left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x \RootOf \left(\textit{\_Z}^{4}+1\right)+\sqrt{-x^{4}-2 x^{3}+2 x +1}\, \RootOf \left(\textit{\_Z}^{4}+1\right)^{2}+x +\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} \RootOf \left(\textit{\_Z}^{4}+1\right)}{\left(x +1\right)^{2}}\right)}{16}\right) \left(\left(-x +1\right) \left(x +1\right)^{3}\right)^{\frac{1}{4}}}{\left(x +1\right)^{\frac{3}{4}} \left(-x +1\right)^{\frac{1}{4}}}"," ",0,"1/24*(8*x^2+10*x+11)*(x+1)^(1/4)*(x-1)/(-(x-1)*(x+1)^3)^(1/4)*((-x+1)*(x+1)^3)^(1/4)/(-x+1)^(1/4)+(3/16*RootOf(_Z^4+1)^3*ln((RootOf(_Z^4+1)^3*(-x^4-2*x^3+2*x+1)^(1/4)*x^2+2*RootOf(_Z^4+1)^3*(-x^4-2*x^3+2*x+1)^(1/4)*x-RootOf(_Z^4+1)^2*(-x^4-2*x^3+2*x+1)^(1/2)*x+RootOf(_Z^4+1)^3*(-x^4-2*x^3+2*x+1)^(1/4)-RootOf(_Z^4+1)^2*(-x^4-2*x^3+2*x+1)^(1/2)+RootOf(_Z^4+1)*(-x^4-2*x^3+2*x+1)^(3/4)+x^3+2*x^2+x)/(x+1)^2)+3/16*RootOf(_Z^4+1)*ln((RootOf(_Z^4+1)^3*(-x^4-2*x^3+2*x+1)^(3/4)+RootOf(_Z^4+1)^2*(-x^4-2*x^3+2*x+1)^(1/2)*x+RootOf(_Z^4+1)^2*(-x^4-2*x^3+2*x+1)^(1/2)+RootOf(_Z^4+1)*(-x^4-2*x^3+2*x+1)^(1/4)*x^2+2*RootOf(_Z^4+1)*(-x^4-2*x^3+2*x+1)^(1/4)*x+x^3+RootOf(_Z^4+1)*(-x^4-2*x^3+2*x+1)^(1/4)+2*x^2+x)/(x+1)^2))/(x+1)^(3/4)*((-x+1)*(x+1)^3)^(1/4)/(-x+1)^(1/4)","C"
893,1,453,152,0.466000," ","int(x*(x+1)^(1/4)/(-x+1)^(1/4),x)","\frac{\left(2 x +3\right) \left(x +1\right)^{\frac{1}{4}} \left(x -1\right) \left(\left(-x +1\right) \left(x +1\right)^{3}\right)^{\frac{1}{4}}}{4 \left(-\left(x -1\right) \left(x +1\right)^{3}\right)^{\frac{1}{4}} \left(-x +1\right)^{\frac{1}{4}}}+\frac{\left(\frac{\RootOf \left(\textit{\_Z}^{4}+1\right)^{3} \ln \left(\frac{\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x^{2} \RootOf \left(\textit{\_Z}^{4}+1\right)^{3}+2 \left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x \RootOf \left(\textit{\_Z}^{4}+1\right)^{3}+x^{3}-\sqrt{-x^{4}-2 x^{3}+2 x +1}\, x \RootOf \left(\textit{\_Z}^{4}+1\right)^{2}+\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} \RootOf \left(\textit{\_Z}^{4}+1\right)^{3}+2 x^{2}-\sqrt{-x^{4}-2 x^{3}+2 x +1}\, \RootOf \left(\textit{\_Z}^{4}+1\right)^{2}+x +\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{3}{4}} \RootOf \left(\textit{\_Z}^{4}+1\right)}{\left(x +1\right)^{2}}\right)}{8}-\frac{\RootOf \left(\textit{\_Z}^{4}+1\right) \ln \left(-\frac{-x^{3}+\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x^{2} \RootOf \left(\textit{\_Z}^{4}+1\right)-\sqrt{-x^{4}-2 x^{3}+2 x +1}\, x \RootOf \left(\textit{\_Z}^{4}+1\right)^{2}+\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{3}{4}} \RootOf \left(\textit{\_Z}^{4}+1\right)^{3}-2 x^{2}+2 \left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x \RootOf \left(\textit{\_Z}^{4}+1\right)-\sqrt{-x^{4}-2 x^{3}+2 x +1}\, \RootOf \left(\textit{\_Z}^{4}+1\right)^{2}-x +\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} \RootOf \left(\textit{\_Z}^{4}+1\right)}{\left(x +1\right)^{2}}\right)}{8}\right) \left(\left(-x +1\right) \left(x +1\right)^{3}\right)^{\frac{1}{4}}}{\left(x +1\right)^{\frac{3}{4}} \left(-x +1\right)^{\frac{1}{4}}}"," ",0,"1/4*(2*x+3)*(x+1)^(1/4)*(x-1)/(-(x-1)*(x+1)^3)^(1/4)*((-x+1)*(x+1)^3)^(1/4)/(-x+1)^(1/4)+(1/8*RootOf(_Z^4+1)^3*ln((RootOf(_Z^4+1)^3*(-x^4-2*x^3+2*x+1)^(1/4)*x^2+2*RootOf(_Z^4+1)^3*(-x^4-2*x^3+2*x+1)^(1/4)*x-RootOf(_Z^4+1)^2*(-x^4-2*x^3+2*x+1)^(1/2)*x+RootOf(_Z^4+1)^3*(-x^4-2*x^3+2*x+1)^(1/4)-RootOf(_Z^4+1)^2*(-x^4-2*x^3+2*x+1)^(1/2)+RootOf(_Z^4+1)*(-x^4-2*x^3+2*x+1)^(3/4)+x^3+2*x^2+x)/(x+1)^2)-1/8*RootOf(_Z^4+1)*ln(-(RootOf(_Z^4+1)^3*(-x^4-2*x^3+2*x+1)^(3/4)-RootOf(_Z^4+1)^2*(-x^4-2*x^3+2*x+1)^(1/2)*x-RootOf(_Z^4+1)^2*(-x^4-2*x^3+2*x+1)^(1/2)+RootOf(_Z^4+1)*(-x^4-2*x^3+2*x+1)^(1/4)*x^2+2*RootOf(_Z^4+1)*(-x^4-2*x^3+2*x+1)^(1/4)*x-x^3+RootOf(_Z^4+1)*(-x^4-2*x^3+2*x+1)^(1/4)-2*x^2-x)/(x+1)^2))/(x+1)^(3/4)*((-x+1)*(x+1)^3)^(1/4)/(-x+1)^(1/4)","C"
894,1,443,138,0.472000," ","int((x+1)^(1/4)/(-x+1)^(1/4),x)","\frac{\left(x +1\right)^{\frac{1}{4}} \left(x -1\right) \left(\left(-x +1\right) \left(x +1\right)^{3}\right)^{\frac{1}{4}}}{\left(-\left(x -1\right) \left(x +1\right)^{3}\right)^{\frac{1}{4}} \left(-x +1\right)^{\frac{1}{4}}}+\frac{\left(-\frac{\RootOf \left(\textit{\_Z}^{4}+1\right)^{3} \ln \left(-\frac{\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x^{2} \RootOf \left(\textit{\_Z}^{4}+1\right)^{3}+2 \left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x \RootOf \left(\textit{\_Z}^{4}+1\right)^{3}-x^{3}+\sqrt{-x^{4}-2 x^{3}+2 x +1}\, x \RootOf \left(\textit{\_Z}^{4}+1\right)^{2}+\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} \RootOf \left(\textit{\_Z}^{4}+1\right)^{3}-2 x^{2}+\sqrt{-x^{4}-2 x^{3}+2 x +1}\, \RootOf \left(\textit{\_Z}^{4}+1\right)^{2}-x +\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{3}{4}} \RootOf \left(\textit{\_Z}^{4}+1\right)}{\left(x +1\right)^{2}}\right)}{2}+\frac{\RootOf \left(\textit{\_Z}^{4}+1\right) \ln \left(\frac{x^{3}+\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x^{2} \RootOf \left(\textit{\_Z}^{4}+1\right)+\sqrt{-x^{4}-2 x^{3}+2 x +1}\, x \RootOf \left(\textit{\_Z}^{4}+1\right)^{2}+\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{3}{4}} \RootOf \left(\textit{\_Z}^{4}+1\right)^{3}+2 x^{2}+2 \left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x \RootOf \left(\textit{\_Z}^{4}+1\right)+\sqrt{-x^{4}-2 x^{3}+2 x +1}\, \RootOf \left(\textit{\_Z}^{4}+1\right)^{2}+x +\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} \RootOf \left(\textit{\_Z}^{4}+1\right)}{\left(x +1\right)^{2}}\right)}{2}\right) \left(\left(-x +1\right) \left(x +1\right)^{3}\right)^{\frac{1}{4}}}{\left(x +1\right)^{\frac{3}{4}} \left(-x +1\right)^{\frac{1}{4}}}"," ",0,"(x+1)^(1/4)*(x-1)/(-(x-1)*(x+1)^3)^(1/4)*((-x+1)*(x+1)^3)^(1/4)/(-x+1)^(1/4)+(-1/2*RootOf(_Z^4+1)^3*ln(-(RootOf(_Z^4+1)^3*(-x^4-2*x^3+2*x+1)^(1/4)*x^2+RootOf(_Z^4+1)^2*(-x^4-2*x^3+2*x+1)^(1/2)*x+2*RootOf(_Z^4+1)^3*(-x^4-2*x^3+2*x+1)^(1/4)*x+RootOf(_Z^4+1)*(-x^4-2*x^3+2*x+1)^(3/4)+RootOf(_Z^4+1)^2*(-x^4-2*x^3+2*x+1)^(1/2)+RootOf(_Z^4+1)^3*(-x^4-2*x^3+2*x+1)^(1/4)-x^3-2*x^2-x)/(x+1)^2)+1/2*RootOf(_Z^4+1)*ln((RootOf(_Z^4+1)^3*(-x^4-2*x^3+2*x+1)^(3/4)+RootOf(_Z^4+1)^2*(-x^4-2*x^3+2*x+1)^(1/2)*x+RootOf(_Z^4+1)^2*(-x^4-2*x^3+2*x+1)^(1/2)+RootOf(_Z^4+1)*(-x^4-2*x^3+2*x+1)^(1/4)*x^2+2*RootOf(_Z^4+1)*(-x^4-2*x^3+2*x+1)^(1/4)*x+x^3+RootOf(_Z^4+1)*(-x^4-2*x^3+2*x+1)^(1/4)+2*x^2+x)/(x+1)^2))/(x+1)^(3/4)*((-x+1)*(x+1)^3)^(1/4)/(-x+1)^(1/4)","C"
895,0,0,156,0.137000," ","int((x+1)^(1/4)/(-x+1)^(1/4)/x,x)","\int \frac{\left(x +1\right)^{\frac{1}{4}}}{\left(-x +1\right)^{\frac{1}{4}} x}\, dx"," ",0,"int((x+1)^(1/4)/(-x+1)^(1/4)/x,x)","F"
896,1,383,50,0.879000," ","int((x+1)^(1/4)/(-x+1)^(1/4)/x^2,x)","\frac{\left(x +1\right)^{\frac{1}{4}} \left(x -1\right) \left(\left(-x +1\right) \left(x +1\right)^{3}\right)^{\frac{1}{4}}}{\left(-\left(x -1\right) \left(x +1\right)^{3}\right)^{\frac{1}{4}} \left(-x +1\right)^{\frac{1}{4}} x}+\frac{\left(\frac{\RootOf \left(\textit{\_Z}^{2}+1\right) \ln \left(\frac{-x^{2} \RootOf \left(\textit{\_Z}^{2}+1\right)-\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x^{2}+\sqrt{-x^{4}-2 x^{3}+2 x +1}\, x \RootOf \left(\textit{\_Z}^{2}+1\right)-2 x \RootOf \left(\textit{\_Z}^{2}+1\right)-2 \left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x +\sqrt{-x^{4}-2 x^{3}+2 x +1}\, \RootOf \left(\textit{\_Z}^{2}+1\right)-\RootOf \left(\textit{\_Z}^{2}+1\right)+\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{3}{4}}-\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}}}{\left(x +1\right)^{2} x}\right)}{2}+\frac{\ln \left(\frac{\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x^{2}-x^{2}-\sqrt{-x^{4}-2 x^{3}+2 x +1}\, x +2 \left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x -2 x +\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{3}{4}}-\sqrt{-x^{4}-2 x^{3}+2 x +1}+\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}}-1}{\left(x +1\right)^{2} x}\right)}{2}\right) \left(\left(-x +1\right) \left(x +1\right)^{3}\right)^{\frac{1}{4}}}{\left(x +1\right)^{\frac{3}{4}} \left(-x +1\right)^{\frac{1}{4}}}"," ",0,"(x+1)^(1/4)*(x-1)/x/(-(x-1)*(x+1)^3)^(1/4)*((-x+1)*(x+1)^3)^(1/4)/(-x+1)^(1/4)+(1/2*ln(((-x^4-2*x^3+2*x+1)^(3/4)-(-x^4-2*x^3+2*x+1)^(1/2)*x+(-x^4-2*x^3+2*x+1)^(1/4)*x^2-(-x^4-2*x^3+2*x+1)^(1/2)+2*(-x^4-2*x^3+2*x+1)^(1/4)*x-x^2+(-x^4-2*x^3+2*x+1)^(1/4)-2*x-1)/x/(x+1)^2)+1/2*RootOf(_Z^2+1)*ln((RootOf(_Z^2+1)*(-x^4-2*x^3+2*x+1)^(1/2)*x+(-x^4-2*x^3+2*x+1)^(3/4)+RootOf(_Z^2+1)*(-x^4-2*x^3+2*x+1)^(1/2)-(-x^4-2*x^3+2*x+1)^(1/4)*x^2-RootOf(_Z^2+1)*x^2-2*(-x^4-2*x^3+2*x+1)^(1/4)*x-2*RootOf(_Z^2+1)*x-(-x^4-2*x^3+2*x+1)^(1/4)-RootOf(_Z^2+1))/x/(x+1)^2))/(x+1)^(3/4)*((-x+1)*(x+1)^3)^(1/4)/(-x+1)^(1/4)","C"
897,1,389,67,0.812000," ","int((x+1)^(1/4)/(-x+1)^(1/4)/x^3,x)","\frac{\left(x +1\right)^{\frac{1}{4}} \left(x -1\right) \left(3 x +2\right) \left(\left(-x +1\right) \left(x +1\right)^{3}\right)^{\frac{1}{4}}}{4 \left(-\left(x -1\right) \left(x +1\right)^{3}\right)^{\frac{1}{4}} \left(-x +1\right)^{\frac{1}{4}} x^{2}}+\frac{\left(-\frac{\RootOf \left(\textit{\_Z}^{2}+1\right) \ln \left(-\frac{-x^{2} \RootOf \left(\textit{\_Z}^{2}+1\right)+\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x^{2}+\sqrt{-x^{4}-2 x^{3}+2 x +1}\, x \RootOf \left(\textit{\_Z}^{2}+1\right)-2 x \RootOf \left(\textit{\_Z}^{2}+1\right)+2 \left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x +\sqrt{-x^{4}-2 x^{3}+2 x +1}\, \RootOf \left(\textit{\_Z}^{2}+1\right)-\RootOf \left(\textit{\_Z}^{2}+1\right)-\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{3}{4}}+\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}}}{\left(x +1\right)^{2} x}\right)}{8}+\frac{\ln \left(\frac{\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x^{2}-x^{2}-\sqrt{-x^{4}-2 x^{3}+2 x +1}\, x +2 \left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x -2 x +\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{3}{4}}-\sqrt{-x^{4}-2 x^{3}+2 x +1}+\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}}-1}{\left(x +1\right)^{2} x}\right)}{8}\right) \left(\left(-x +1\right) \left(x +1\right)^{3}\right)^{\frac{1}{4}}}{\left(x +1\right)^{\frac{3}{4}} \left(-x +1\right)^{\frac{1}{4}}}"," ",0,"1/4*(x+1)^(1/4)*(x-1)*(3*x+2)/x^2/(-(x-1)*(x+1)^3)^(1/4)*((-x+1)*(x+1)^3)^(1/4)/(-x+1)^(1/4)+(-1/8*RootOf(_Z^2+1)*ln(-(RootOf(_Z^2+1)*(-x^4-2*x^3+2*x+1)^(1/2)*x+RootOf(_Z^2+1)*(-x^4-2*x^3+2*x+1)^(1/2)-RootOf(_Z^2+1)*x^2-(-x^4-2*x^3+2*x+1)^(3/4)+(-x^4-2*x^3+2*x+1)^(1/4)*x^2-2*RootOf(_Z^2+1)*x+2*(-x^4-2*x^3+2*x+1)^(1/4)*x-RootOf(_Z^2+1)+(-x^4-2*x^3+2*x+1)^(1/4))/x/(x+1)^2)+1/8*ln(((-x^4-2*x^3+2*x+1)^(1/4)*x^2-x^2-(-x^4-2*x^3+2*x+1)^(1/2)*x+2*(-x^4-2*x^3+2*x+1)^(1/4)*x-2*x+(-x^4-2*x^3+2*x+1)^(3/4)-(-x^4-2*x^3+2*x+1)^(1/2)+(-x^4-2*x^3+2*x+1)^(1/4)-1)/(x+1)^2/x))/(x+1)^(3/4)*((-x+1)*(x+1)^3)^(1/4)/(-x+1)^(1/4)","C"
898,1,388,84,0.661000," ","int((x+1)^(1/4)/(-x+1)^(1/4)/x^4,x)","\frac{\left(x +1\right)^{\frac{1}{4}} \left(x -1\right) \left(11 x^{2}+10 x +8\right) \left(\left(-x +1\right) \left(x +1\right)^{3}\right)^{\frac{1}{4}}}{24 \left(-\left(x -1\right) \left(x +1\right)^{3}\right)^{\frac{1}{4}} \left(-x +1\right)^{\frac{1}{4}} x^{3}}+\frac{\left(-\frac{3 \RootOf \left(\textit{\_Z}^{2}+1\right) \ln \left(\frac{x^{2} \RootOf \left(\textit{\_Z}^{2}+1\right)-\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x^{2}-\sqrt{-x^{4}-2 x^{3}+2 x +1}\, x \RootOf \left(\textit{\_Z}^{2}+1\right)+2 x \RootOf \left(\textit{\_Z}^{2}+1\right)-2 \left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x -\sqrt{-x^{4}-2 x^{3}+2 x +1}\, \RootOf \left(\textit{\_Z}^{2}+1\right)+\RootOf \left(\textit{\_Z}^{2}+1\right)+\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{3}{4}}-\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}}}{\left(x +1\right)^{2} x}\right)}{16}-\frac{3 \ln \left(\frac{\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x^{2}+x^{2}+\sqrt{-x^{4}-2 x^{3}+2 x +1}\, x +2 \left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x +2 x +\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{3}{4}}+\sqrt{-x^{4}-2 x^{3}+2 x +1}+\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}}+1}{\left(x +1\right)^{2} x}\right)}{16}\right) \left(\left(-x +1\right) \left(x +1\right)^{3}\right)^{\frac{1}{4}}}{\left(x +1\right)^{\frac{3}{4}} \left(-x +1\right)^{\frac{1}{4}}}"," ",0,"1/24*(x+1)^(1/4)*(x-1)*(11*x^2+10*x+8)/x^3/(-(x-1)*(x+1)^3)^(1/4)*((-x+1)*(x+1)^3)^(1/4)/(-x+1)^(1/4)+(-3/16*RootOf(_Z^2+1)*ln((-RootOf(_Z^2+1)*(-x^4-2*x^3+2*x+1)^(1/2)*x+(-x^4-2*x^3+2*x+1)^(3/4)-RootOf(_Z^2+1)*(-x^4-2*x^3+2*x+1)^(1/2)-(-x^4-2*x^3+2*x+1)^(1/4)*x^2+RootOf(_Z^2+1)*x^2-2*(-x^4-2*x^3+2*x+1)^(1/4)*x+2*RootOf(_Z^2+1)*x-(-x^4-2*x^3+2*x+1)^(1/4)+RootOf(_Z^2+1))/x/(x+1)^2)-3/16*ln(((-x^4-2*x^3+2*x+1)^(3/4)+(-x^4-2*x^3+2*x+1)^(1/2)*x+(-x^4-2*x^3+2*x+1)^(1/4)*x^2+(-x^4-2*x^3+2*x+1)^(1/2)+2*(-x^4-2*x^3+2*x+1)^(1/4)*x+x^2+(-x^4-2*x^3+2*x+1)^(1/4)+2*x+1)/x/(x+1)^2))/(x+1)^(3/4)*((-x+1)*(x+1)^3)^(1/4)/(-x+1)^(1/4)","C"
899,1,398,101,0.654000," ","int((x+1)^(1/4)/(-x+1)^(1/4)/x^5,x)","\frac{\left(x +1\right)^{\frac{1}{4}} \left(x -1\right) \left(83 x^{3}+58 x^{2}+56 x +48\right) \left(\left(-x +1\right) \left(x +1\right)^{3}\right)^{\frac{1}{4}}}{192 \left(-\left(x -1\right) \left(x +1\right)^{3}\right)^{\frac{1}{4}} \left(-x +1\right)^{\frac{1}{4}} x^{4}}+\frac{\left(-\frac{11 \RootOf \left(\textit{\_Z}^{2}+1\right) \ln \left(\frac{x^{2} \RootOf \left(\textit{\_Z}^{2}+1\right)-\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x^{2}-\sqrt{-x^{4}-2 x^{3}+2 x +1}\, x \RootOf \left(\textit{\_Z}^{2}+1\right)+2 x \RootOf \left(\textit{\_Z}^{2}+1\right)-2 \left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x -\sqrt{-x^{4}-2 x^{3}+2 x +1}\, \RootOf \left(\textit{\_Z}^{2}+1\right)+\RootOf \left(\textit{\_Z}^{2}+1\right)+\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{3}{4}}-\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}}}{\left(x +1\right)^{2} x}\right)}{128}+\frac{11 \ln \left(\frac{\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x^{2}-x^{2}-\sqrt{-x^{4}-2 x^{3}+2 x +1}\, x +2 \left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}} x -2 x +\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{3}{4}}-\sqrt{-x^{4}-2 x^{3}+2 x +1}+\left(-x^{4}-2 x^{3}+2 x +1\right)^{\frac{1}{4}}-1}{\left(x +1\right)^{2} x}\right)}{128}\right) \left(\left(-x +1\right) \left(x +1\right)^{3}\right)^{\frac{1}{4}}}{\left(x +1\right)^{\frac{3}{4}} \left(-x +1\right)^{\frac{1}{4}}}"," ",0,"1/192*(x+1)^(1/4)*(x-1)*(83*x^3+58*x^2+56*x+48)/x^4/(-(x-1)*(x+1)^3)^(1/4)*((-x+1)*(x+1)^3)^(1/4)/(-x+1)^(1/4)+(-11/128*RootOf(_Z^2+1)*ln((-RootOf(_Z^2+1)*(-x^4-2*x^3+2*x+1)^(1/2)*x+(-x^4-2*x^3+2*x+1)^(3/4)-RootOf(_Z^2+1)*(-x^4-2*x^3+2*x+1)^(1/2)-(-x^4-2*x^3+2*x+1)^(1/4)*x^2+RootOf(_Z^2+1)*x^2-2*(-x^4-2*x^3+2*x+1)^(1/4)*x+2*RootOf(_Z^2+1)*x-(-x^4-2*x^3+2*x+1)^(1/4)+RootOf(_Z^2+1))/x/(x+1)^2)+11/128*ln(((-x^4-2*x^3+2*x+1)^(1/4)*x^2-x^2-(-x^4-2*x^3+2*x+1)^(1/2)*x+2*(-x^4-2*x^3+2*x+1)^(1/4)*x-2*x+(-x^4-2*x^3+2*x+1)^(3/4)-(-x^4-2*x^3+2*x+1)^(1/2)+(-x^4-2*x^3+2*x+1)^(1/4)-1)/(x+1)^2/x))/(x+1)^(3/4)*((-x+1)*(x+1)^3)^(1/4)/(-x+1)^(1/4)","C"
900,0,0,219,0.062000," ","int(x^3/(b*x+a)^(3/4)/(d*x+c)^(1/4),x)","\int \frac{x^{3}}{\left(b x +a \right)^{\frac{3}{4}} \left(d x +c \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^3/(b*x+a)^(3/4)/(d*x+c)^(1/4),x)","F"
901,0,0,161,0.053000," ","int(x^2/(b*x+a)^(3/4)/(d*x+c)^(1/4),x)","\int \frac{x^{2}}{\left(b x +a \right)^{\frac{3}{4}} \left(d x +c \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^2/(b*x+a)^(3/4)/(d*x+c)^(1/4),x)","F"
902,0,0,98,0.047000," ","int(x/(b*x+a)^(3/4)/(d*x+c)^(1/4),x)","\int \frac{x}{\left(b x +a \right)^{\frac{3}{4}} \left(d x +c \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x/(b*x+a)^(3/4)/(d*x+c)^(1/4),x)","F"
903,0,0,61,0.000000," ","int(1/(b*x+a)^(3/4)/(d*x+c)^(1/4),x)","\int \frac{1}{\left(b x +a \right)^{\frac{3}{4}} \left(d x +c \right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(3/4)/(d*x+c)^(1/4),x)","F"
904,0,0,61,0.137000," ","int(1/x/(b*x+a)^(3/4)/(d*x+c)^(1/4),x)","\int \frac{1}{\left(b x +a \right)^{\frac{3}{4}} \left(d x +c \right)^{\frac{1}{4}} x}\, dx"," ",0,"int(1/x/(b*x+a)^(3/4)/(d*x+c)^(1/4),x)","F"
905,0,0,102,0.066000," ","int(1/x^2/(b*x+a)^(3/4)/(d*x+c)^(1/4),x)","\int \frac{1}{\left(b x +a \right)^{\frac{3}{4}} \left(d x +c \right)^{\frac{1}{4}} x^{2}}\, dx"," ",0,"int(1/x^2/(b*x+a)^(3/4)/(d*x+c)^(1/4),x)","F"
906,0,0,166,0.066000," ","int(1/x^3/(b*x+a)^(3/4)/(d*x+c)^(1/4),x)","\int \frac{1}{\left(b x +a \right)^{\frac{3}{4}} \left(d x +c \right)^{\frac{1}{4}} x^{3}}\, dx"," ",0,"int(1/x^3/(b*x+a)^(3/4)/(d*x+c)^(1/4),x)","F"
907,0,0,242,0.067000," ","int(1/x^4/(b*x+a)^(3/4)/(d*x+c)^(1/4),x)","\int \frac{1}{\left(b x +a \right)^{\frac{3}{4}} \left(d x +c \right)^{\frac{1}{4}} x^{4}}\, dx"," ",0,"int(1/x^4/(b*x+a)^(3/4)/(d*x+c)^(1/4),x)","F"
908,0,0,174,0.166000," ","int((e*x)^(3/2)/(-x+1)^(1/4)/(x+1)^(1/4),x)","\int \frac{\left(e x \right)^{\frac{3}{2}}}{\left(-x +1\right)^{\frac{1}{4}} \left(x +1\right)^{\frac{1}{4}}}\, dx"," ",0,"int((e*x)^(3/2)/(-x+1)^(1/4)/(x+1)^(1/4),x)","F"
909,0,0,157,0.135000," ","int(1/(-x+1)^(1/4)/(e*x)^(1/2)/(x+1)^(1/4),x)","\int \frac{1}{\left(-x +1\right)^{\frac{1}{4}} \sqrt{e x}\, \left(x +1\right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(-x+1)^(1/4)/(e*x)^(1/2)/(x+1)^(1/4),x)","F"
910,1,21,22,0.003000," ","int(1/(-x+1)^(1/4)/(e*x)^(5/2)/(x+1)^(1/4),x)","-\frac{2 \left(x +1\right)^{\frac{3}{4}} \left(-x +1\right)^{\frac{3}{4}} x}{3 \left(e x \right)^{\frac{5}{2}}}"," ",0,"-2/3*x*(x+1)^(3/4)*(-x+1)^(3/4)/(e*x)^(5/2)","A"
911,1,28,39,0.006000," ","int(1/(-x+1)^(1/4)/(e*x)^(9/2)/(x+1)^(1/4),x)","-\frac{2 \left(x +1\right)^{\frac{3}{4}} \left(4 x^{2}+3\right) \left(-x +1\right)^{\frac{3}{4}} x}{21 \left(e x \right)^{\frac{9}{2}}}"," ",0,"-2/21*x*(x+1)^(3/4)*(4*x^2+3)*(-x+1)^(3/4)/(e*x)^(9/2)","A"
912,1,33,58,0.005000," ","int(1/(-x+1)^(1/4)/(e*x)^(13/2)/(x+1)^(1/4),x)","-\frac{2 \left(x +1\right)^{\frac{3}{4}} \left(32 x^{4}+24 x^{2}+21\right) \left(-x +1\right)^{\frac{3}{4}} x}{231 \left(e x \right)^{\frac{13}{2}}}"," ",0,"-2/231*x*(x+1)^(3/4)*(32*x^4+24*x^2+21)*(-x+1)^(3/4)/(e*x)^(13/2)","A"
913,0,0,90,0.205000," ","int((e*x)^(5/2)/(-x+1)^(1/4)/(x+1)^(1/4),x)","\int \frac{\left(e x \right)^{\frac{5}{2}}}{\left(-x +1\right)^{\frac{1}{4}} \left(x +1\right)^{\frac{1}{4}}}\, dx"," ",0,"int((e*x)^(5/2)/(-x+1)^(1/4)/(x+1)^(1/4),x)","F"
914,0,0,67,0.136000," ","int((e*x)^(1/2)/(-x+1)^(1/4)/(x+1)^(1/4),x)","\int \frac{\sqrt{e x}}{\left(-x +1\right)^{\frac{1}{4}} \left(x +1\right)^{\frac{1}{4}}}\, dx"," ",0,"int((e*x)^(1/2)/(-x+1)^(1/4)/(x+1)^(1/4),x)","F"
915,0,0,53,0.150000," ","int(1/(-x+1)^(1/4)/(e*x)^(3/2)/(x+1)^(1/4),x)","\int \frac{1}{\left(-x +1\right)^{\frac{1}{4}} \left(e x \right)^{\frac{3}{2}} \left(x +1\right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(-x+1)^(1/4)/(e*x)^(3/2)/(x+1)^(1/4),x)","F"
916,0,0,73,0.148000," ","int(1/(-x+1)^(1/4)/(e*x)^(7/2)/(x+1)^(1/4),x)","\int \frac{1}{\left(-x +1\right)^{\frac{1}{4}} \left(e x \right)^{\frac{7}{2}} \left(x +1\right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(-x+1)^(1/4)/(e*x)^(7/2)/(x+1)^(1/4),x)","F"
917,0,0,92,0.150000," ","int(1/(-x+1)^(1/4)/(e*x)^(11/2)/(x+1)^(1/4),x)","\int \frac{1}{\left(-x +1\right)^{\frac{1}{4}} \left(e x \right)^{\frac{11}{2}} \left(x +1\right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(-x+1)^(1/4)/(e*x)^(11/2)/(x+1)^(1/4),x)","F"
918,1,222,104,0.007000," ","int(x^2*(b*x+a)^n*(d*x+c),x)","-\frac{\left(-b^{3} d \,n^{3} x^{3}-b^{3} c \,n^{3} x^{2}-6 b^{3} d \,n^{2} x^{3}+3 a \,b^{2} d \,n^{2} x^{2}-7 b^{3} c \,n^{2} x^{2}-11 b^{3} d n \,x^{3}+2 a \,b^{2} c \,n^{2} x +9 a \,b^{2} d n \,x^{2}-14 b^{3} c n \,x^{2}-6 b^{3} d \,x^{3}-6 a^{2} b d n x +10 a \,b^{2} c n x +6 a \,b^{2} d \,x^{2}-8 b^{3} c \,x^{2}-2 a^{2} b c n -6 a^{2} b d x +8 a \,b^{2} c x +6 a^{3} d -8 a^{2} b c \right) \left(b x +a \right)^{n +1}}{\left(n^{4}+10 n^{3}+35 n^{2}+50 n +24\right) b^{4}}"," ",0,"-(b*x+a)^(n+1)*(-b^3*d*n^3*x^3-b^3*c*n^3*x^2-6*b^3*d*n^2*x^3+3*a*b^2*d*n^2*x^2-7*b^3*c*n^2*x^2-11*b^3*d*n*x^3+2*a*b^2*c*n^2*x+9*a*b^2*d*n*x^2-14*b^3*c*n*x^2-6*b^3*d*x^3-6*a^2*b*d*n*x+10*a*b^2*c*n*x+6*a*b^2*d*x^2-8*b^3*c*x^2-2*a^2*b*c*n-6*a^2*b*d*x+8*a*b^2*c*x+6*a^3*d-8*a^2*b*c)/b^4/(n^4+10*n^3+35*n^2+50*n+24)","B"
919,1,114,74,0.004000," ","int(x*(b*x+a)^n*(d*x+c),x)","\frac{\left(b^{2} d \,n^{2} x^{2}+b^{2} c \,n^{2} x +3 b^{2} d n \,x^{2}-2 a b d n x +4 b^{2} c n x +2 d \,x^{2} b^{2}-a b c n -2 a b d x +3 b^{2} c x +2 a^{2} d -3 a b c \right) \left(b x +a \right)^{n +1}}{\left(n^{3}+6 n^{2}+11 n +6\right) b^{3}}"," ",0,"(b*x+a)^(n+1)*(b^2*d*n^2*x^2+b^2*c*n^2*x+3*b^2*d*n*x^2-2*a*b*d*n*x+4*b^2*c*n*x+2*b^2*d*x^2-a*b*c*n-2*a*b*d*x+3*b^2*c*x+2*a^2*d-3*a*b*c)/b^3/(n^3+6*n^2+11*n+6)","A"
920,1,49,46,0.003000," ","int((b*x+a)^n*(d*x+c),x)","-\frac{\left(-b d n x -b c n -b d x +a d -2 b c \right) \left(b x +a \right)^{n +1}}{\left(n^{2}+3 n +2\right) b^{2}}"," ",0,"-(b*x+a)^(n+1)*(-b*d*n*x-b*c*n-b*d*x+a*d-2*b*c)/b^2/(n^2+3*n+2)","A"
921,0,0,58,0.127000," ","int((b*x+a)^n*(d*x+c)/x,x)","\int \frac{\left(d x +c \right) \left(b x +a \right)^{n}}{x}\, dx"," ",0,"int((b*x+a)^n*(d*x+c)/x,x)","F"
922,0,0,64,0.128000," ","int((b*x+a)^n*(d*x+c)/x^2,x)","\int \frac{\left(d x +c \right) \left(b x +a \right)^{n}}{x^{2}}\, dx"," ",0,"int((b*x+a)^n*(d*x+c)/x^2,x)","F"
923,1,547,157,0.011000," ","int(x^2*(b*x+a)^n*(d*x+c)^2,x)","\frac{\left(b^{4} d^{2} n^{4} x^{4}+2 b^{4} c d \,n^{4} x^{3}+10 b^{4} d^{2} n^{3} x^{4}-4 a \,b^{3} d^{2} n^{3} x^{3}+b^{4} c^{2} n^{4} x^{2}+22 b^{4} c d \,n^{3} x^{3}+35 b^{4} d^{2} n^{2} x^{4}-6 a \,b^{3} c d \,n^{3} x^{2}-24 a \,b^{3} d^{2} n^{2} x^{3}+12 b^{4} c^{2} n^{3} x^{2}+82 b^{4} c d \,n^{2} x^{3}+50 b^{4} d^{2} n \,x^{4}+12 a^{2} b^{2} d^{2} n^{2} x^{2}-2 a \,b^{3} c^{2} n^{3} x -48 a \,b^{3} c d \,n^{2} x^{2}-44 a \,b^{3} d^{2} n \,x^{3}+49 b^{4} c^{2} n^{2} x^{2}+122 b^{4} c d n \,x^{3}+24 d^{2} x^{4} b^{4}+12 a^{2} b^{2} c d \,n^{2} x +36 a^{2} b^{2} d^{2} n \,x^{2}-20 a \,b^{3} c^{2} n^{2} x -102 a \,b^{3} c d n \,x^{2}-24 a \,b^{3} d^{2} x^{3}+78 b^{4} c^{2} n \,x^{2}+60 b^{4} c d \,x^{3}-24 a^{3} b \,d^{2} n x +2 a^{2} b^{2} c^{2} n^{2}+72 a^{2} b^{2} c d n x +24 a^{2} b^{2} d^{2} x^{2}-58 a \,b^{3} c^{2} n x -60 a \,b^{3} c d \,x^{2}+40 b^{4} c^{2} x^{2}-12 a^{3} b c d n -24 a^{3} b \,d^{2} x +18 a^{2} b^{2} c^{2} n +60 a^{2} b^{2} c d x -40 a \,b^{3} c^{2} x +24 a^{4} d^{2}-60 a^{3} b c d +40 a^{2} b^{2} c^{2}\right) \left(b x +a \right)^{n +1}}{\left(n^{5}+15 n^{4}+85 n^{3}+225 n^{2}+274 n +120\right) b^{5}}"," ",0,"(b*x+a)^(n+1)*(b^4*d^2*n^4*x^4+2*b^4*c*d*n^4*x^3+10*b^4*d^2*n^3*x^4-4*a*b^3*d^2*n^3*x^3+b^4*c^2*n^4*x^2+22*b^4*c*d*n^3*x^3+35*b^4*d^2*n^2*x^4-6*a*b^3*c*d*n^3*x^2-24*a*b^3*d^2*n^2*x^3+12*b^4*c^2*n^3*x^2+82*b^4*c*d*n^2*x^3+50*b^4*d^2*n*x^4+12*a^2*b^2*d^2*n^2*x^2-2*a*b^3*c^2*n^3*x-48*a*b^3*c*d*n^2*x^2-44*a*b^3*d^2*n*x^3+49*b^4*c^2*n^2*x^2+122*b^4*c*d*n*x^3+24*b^4*d^2*x^4+12*a^2*b^2*c*d*n^2*x+36*a^2*b^2*d^2*n*x^2-20*a*b^3*c^2*n^2*x-102*a*b^3*c*d*n*x^2-24*a*b^3*d^2*x^3+78*b^4*c^2*n*x^2+60*b^4*c*d*x^3-24*a^3*b*d^2*n*x+2*a^2*b^2*c^2*n^2+72*a^2*b^2*c*d*n*x+24*a^2*b^2*d^2*x^2-58*a*b^3*c^2*n*x-60*a*b^3*c*d*x^2+40*b^4*c^2*x^2-12*a^3*b*c*d*n-24*a^3*b*d^2*x+18*a^2*b^2*c^2*n+60*a^2*b^2*c*d*x-40*a*b^3*c^2*x+24*a^4*d^2-60*a^3*b*c*d+40*a^2*b^2*c^2)/b^5/(n^5+15*n^4+85*n^3+225*n^2+274*n+120)","B"
924,1,324,114,0.010000," ","int(x*(b*x+a)^n*(d*x+c)^2,x)","-\frac{\left(-b^{3} d^{2} n^{3} x^{3}-2 b^{3} c d \,n^{3} x^{2}-6 b^{3} d^{2} n^{2} x^{3}+3 a \,b^{2} d^{2} n^{2} x^{2}-b^{3} c^{2} n^{3} x -14 b^{3} c d \,n^{2} x^{2}-11 b^{3} d^{2} n \,x^{3}+4 a \,b^{2} c d \,n^{2} x +9 a \,b^{2} d^{2} n \,x^{2}-8 b^{3} c^{2} n^{2} x -28 b^{3} c d n \,x^{2}-6 d^{2} x^{3} b^{3}-6 a^{2} b \,d^{2} n x +a \,b^{2} c^{2} n^{2}+20 a \,b^{2} c d n x +6 a \,b^{2} d^{2} x^{2}-19 b^{3} c^{2} n x -16 b^{3} c d \,x^{2}-4 a^{2} b c d n -6 a^{2} b \,d^{2} x +7 a \,b^{2} c^{2} n +16 a \,b^{2} c d x -12 b^{3} c^{2} x +6 a^{3} d^{2}-16 a^{2} b c d +12 a \,b^{2} c^{2}\right) \left(b x +a \right)^{n +1}}{\left(n^{4}+10 n^{3}+35 n^{2}+50 n +24\right) b^{4}}"," ",0,"-(b*x+a)^(n+1)*(-b^3*d^2*n^3*x^3-2*b^3*c*d*n^3*x^2-6*b^3*d^2*n^2*x^3+3*a*b^2*d^2*n^2*x^2-b^3*c^2*n^3*x-14*b^3*c*d*n^2*x^2-11*b^3*d^2*n*x^3+4*a*b^2*c*d*n^2*x+9*a*b^2*d^2*n*x^2-8*b^3*c^2*n^2*x-28*b^3*c*d*n*x^2-6*b^3*d^2*x^3-6*a^2*b*d^2*n*x+a*b^2*c^2*n^2+20*a*b^2*c*d*n*x+6*a*b^2*d^2*x^2-19*b^3*c^2*n*x-16*b^3*c*d*x^2-4*a^2*b*c*d*n-6*a^2*b*d^2*x+7*a*b^2*c^2*n+16*a*b^2*c*d*x-12*b^3*c^2*x+6*a^3*d^2-16*a^2*b*c*d+12*a*b^2*c^2)/b^4/(n^4+10*n^3+35*n^2+50*n+24)","B"
925,1,159,78,0.008000," ","int((b*x+a)^n*(d*x+c)^2,x)","\frac{\left(b^{2} d^{2} n^{2} x^{2}+2 b^{2} c d \,n^{2} x +3 b^{2} d^{2} n \,x^{2}-2 a b \,d^{2} n x +b^{2} c^{2} n^{2}+8 b^{2} c d n x +2 b^{2} d^{2} x^{2}-2 a b c d n -2 a b \,d^{2} x +5 b^{2} c^{2} n +6 b^{2} c d x +2 a^{2} d^{2}-6 a b c d +6 b^{2} c^{2}\right) \left(b x +a \right)^{n +1}}{\left(n^{3}+6 n^{2}+11 n +6\right) b^{3}}"," ",0,"(b*x+a)^(n+1)*(b^2*d^2*n^2*x^2+2*b^2*c*d*n^2*x+3*b^2*d^2*n*x^2-2*a*b*d^2*n*x+b^2*c^2*n^2+8*b^2*c*d*n*x+2*b^2*d^2*x^2-2*a*b*c*d*n-2*a*b*d^2*x+5*b^2*c^2*n+6*b^2*c*d*x+2*a^2*d^2-6*a*b*c*d+6*b^2*c^2)/b^3/(n^3+6*n^2+11*n+6)","B"
926,0,0,90,0.135000," ","int((b*x+a)^n*(d*x+c)^2/x,x)","\int \frac{\left(d x +c \right)^{2} \left(b x +a \right)^{n}}{x}\, dx"," ",0,"int((b*x+a)^n*(d*x+c)^2/x,x)","F"
927,0,0,89,0.134000," ","int((b*x+a)^n*(d*x+c)^2/x^2,x)","\int \frac{\left(d x +c \right)^{2} \left(b x +a \right)^{n}}{x^{2}}\, dx"," ",0,"int((b*x+a)^n*(d*x+c)^2/x^2,x)","F"
928,0,0,120,0.135000," ","int((b*x+a)^n*(d*x+c)^2/x^3,x)","\int \frac{\left(d x +c \right)^{2} \left(b x +a \right)^{n}}{x^{3}}\, dx"," ",0,"int((b*x+a)^n*(d*x+c)^2/x^3,x)","F"
929,0,0,126,0.142000," ","int((b*x+a)^n*(d*x+c)^2/x^4,x)","\int \frac{\left(d x +c \right)^{2} \left(b x +a \right)^{n}}{x^{4}}\, dx"," ",0,"int((b*x+a)^n*(d*x+c)^2/x^4,x)","F"
930,1,1073,212,0.014000," ","int(x^2*(b*x+a)^n*(d*x+c)^3,x)","-\frac{\left(-b^{5} d^{3} n^{5} x^{5}-3 b^{5} c \,d^{2} n^{5} x^{4}-15 b^{5} d^{3} n^{4} x^{5}+5 a \,b^{4} d^{3} n^{4} x^{4}-3 b^{5} c^{2} d \,n^{5} x^{3}-48 b^{5} c \,d^{2} n^{4} x^{4}-85 b^{5} d^{3} n^{3} x^{5}+12 a \,b^{4} c \,d^{2} n^{4} x^{3}+50 a \,b^{4} d^{3} n^{3} x^{4}-b^{5} c^{3} n^{5} x^{2}-51 b^{5} c^{2} d \,n^{4} x^{3}-285 b^{5} c \,d^{2} n^{3} x^{4}-225 b^{5} d^{3} n^{2} x^{5}-20 a^{2} b^{3} d^{3} n^{3} x^{3}+9 a \,b^{4} c^{2} d \,n^{4} x^{2}+144 a \,b^{4} c \,d^{2} n^{3} x^{3}+175 a \,b^{4} d^{3} n^{2} x^{4}-18 b^{5} c^{3} n^{4} x^{2}-321 b^{5} c^{2} d \,n^{3} x^{3}-780 b^{5} c \,d^{2} n^{2} x^{4}-274 b^{5} d^{3} n \,x^{5}-36 a^{2} b^{3} c \,d^{2} n^{3} x^{2}-120 a^{2} b^{3} d^{3} n^{2} x^{3}+2 a \,b^{4} c^{3} n^{4} x +126 a \,b^{4} c^{2} d \,n^{3} x^{2}+564 a \,b^{4} c \,d^{2} n^{2} x^{3}+250 a \,b^{4} d^{3} n \,x^{4}-121 b^{5} c^{3} n^{3} x^{2}-921 b^{5} c^{2} d \,n^{2} x^{3}-972 b^{5} c \,d^{2} n \,x^{4}-120 d^{3} x^{5} b^{5}+60 a^{3} b^{2} d^{3} n^{2} x^{2}-18 a^{2} b^{3} c^{2} d \,n^{3} x -324 a^{2} b^{3} c \,d^{2} n^{2} x^{2}-220 a^{2} b^{3} d^{3} n \,x^{3}+32 a \,b^{4} c^{3} n^{3} x +585 a \,b^{4} c^{2} d \,n^{2} x^{2}+864 a \,b^{4} c \,d^{2} n \,x^{3}+120 a \,b^{4} d^{3} x^{4}-372 b^{5} c^{3} n^{2} x^{2}-1188 b^{5} c^{2} d n \,x^{3}-432 b^{5} c \,d^{2} x^{4}+72 a^{3} b^{2} c \,d^{2} n^{2} x +180 a^{3} b^{2} d^{3} n \,x^{2}-2 a^{2} b^{3} c^{3} n^{3}-216 a^{2} b^{3} c^{2} d \,n^{2} x -720 a^{2} b^{3} c \,d^{2} n \,x^{2}-120 a^{2} b^{3} d^{3} x^{3}+178 a \,b^{4} c^{3} n^{2} x +1008 a \,b^{4} c^{2} d n \,x^{2}+432 a \,b^{4} c \,d^{2} x^{3}-508 b^{5} c^{3} n \,x^{2}-540 b^{5} c^{2} d \,x^{3}-120 a^{4} b \,d^{3} n x +18 a^{3} b^{2} c^{2} d \,n^{2}+504 a^{3} b^{2} c \,d^{2} n x +120 a^{3} b^{2} d^{3} x^{2}-30 a^{2} b^{3} c^{3} n^{2}-738 a^{2} b^{3} c^{2} d n x -432 a^{2} b^{3} c \,d^{2} x^{2}+388 a \,b^{4} c^{3} n x +540 a \,b^{4} c^{2} d \,x^{2}-240 b^{5} c^{3} x^{2}-72 a^{4} b c \,d^{2} n -120 a^{4} b \,d^{3} x +198 a^{3} b^{2} c^{2} d n +432 a^{3} b^{2} c \,d^{2} x -148 a^{2} b^{3} c^{3} n -540 a^{2} b^{3} c^{2} d x +240 a \,b^{4} c^{3} x +120 a^{5} d^{3}-432 a^{4} b c \,d^{2}+540 a^{3} b^{2} c^{2} d -240 a^{2} b^{3} c^{3}\right) \left(b x +a \right)^{n +1}}{\left(n^{6}+21 n^{5}+175 n^{4}+735 n^{3}+1624 n^{2}+1764 n +720\right) b^{6}}"," ",0,"-(b*x+a)^(n+1)*(-b^5*d^3*n^5*x^5-3*b^5*c*d^2*n^5*x^4-15*b^5*d^3*n^4*x^5+5*a*b^4*d^3*n^4*x^4-3*b^5*c^2*d*n^5*x^3-48*b^5*c*d^2*n^4*x^4-85*b^5*d^3*n^3*x^5+12*a*b^4*c*d^2*n^4*x^3+50*a*b^4*d^3*n^3*x^4-b^5*c^3*n^5*x^2-51*b^5*c^2*d*n^4*x^3-285*b^5*c*d^2*n^3*x^4-225*b^5*d^3*n^2*x^5-20*a^2*b^3*d^3*n^3*x^3+9*a*b^4*c^2*d*n^4*x^2+144*a*b^4*c*d^2*n^3*x^3+175*a*b^4*d^3*n^2*x^4-18*b^5*c^3*n^4*x^2-321*b^5*c^2*d*n^3*x^3-780*b^5*c*d^2*n^2*x^4-274*b^5*d^3*n*x^5-36*a^2*b^3*c*d^2*n^3*x^2-120*a^2*b^3*d^3*n^2*x^3+2*a*b^4*c^3*n^4*x+126*a*b^4*c^2*d*n^3*x^2+564*a*b^4*c*d^2*n^2*x^3+250*a*b^4*d^3*n*x^4-121*b^5*c^3*n^3*x^2-921*b^5*c^2*d*n^2*x^3-972*b^5*c*d^2*n*x^4-120*b^5*d^3*x^5+60*a^3*b^2*d^3*n^2*x^2-18*a^2*b^3*c^2*d*n^3*x-324*a^2*b^3*c*d^2*n^2*x^2-220*a^2*b^3*d^3*n*x^3+32*a*b^4*c^3*n^3*x+585*a*b^4*c^2*d*n^2*x^2+864*a*b^4*c*d^2*n*x^3+120*a*b^4*d^3*x^4-372*b^5*c^3*n^2*x^2-1188*b^5*c^2*d*n*x^3-432*b^5*c*d^2*x^4+72*a^3*b^2*c*d^2*n^2*x+180*a^3*b^2*d^3*n*x^2-2*a^2*b^3*c^3*n^3-216*a^2*b^3*c^2*d*n^2*x-720*a^2*b^3*c*d^2*n*x^2-120*a^2*b^3*d^3*x^3+178*a*b^4*c^3*n^2*x+1008*a*b^4*c^2*d*n*x^2+432*a*b^4*c*d^2*x^3-508*b^5*c^3*n*x^2-540*b^5*c^2*d*x^3-120*a^4*b*d^3*n*x+18*a^3*b^2*c^2*d*n^2+504*a^3*b^2*c*d^2*n*x+120*a^3*b^2*d^3*x^2-30*a^2*b^3*c^3*n^2-738*a^2*b^3*c^2*d*n*x-432*a^2*b^3*c*d^2*x^2+388*a*b^4*c^3*n*x+540*a*b^4*c^2*d*x^2-240*b^5*c^3*x^2-72*a^4*b*c*d^2*n-120*a^4*b*d^3*x+198*a^3*b^2*c^2*d*n+432*a^3*b^2*c*d^2*x-148*a^2*b^3*c^3*n-540*a^2*b^3*c^2*d*x+240*a*b^4*c^3*x+120*a^5*d^3-432*a^4*b*c*d^2+540*a^3*b^2*c^2*d-240*a^2*b^3*c^3)/b^6/(n^6+21*n^5+175*n^4+735*n^3+1624*n^2+1764*n+720)","B"
931,1,685,154,0.013000," ","int(x*(b*x+a)^n*(d*x+c)^3,x)","\frac{\left(b^{4} d^{3} n^{4} x^{4}+3 b^{4} c \,d^{2} n^{4} x^{3}+10 b^{4} d^{3} n^{3} x^{4}-4 a \,b^{3} d^{3} n^{3} x^{3}+3 b^{4} c^{2} d \,n^{4} x^{2}+33 b^{4} c \,d^{2} n^{3} x^{3}+35 b^{4} d^{3} n^{2} x^{4}-9 a \,b^{3} c \,d^{2} n^{3} x^{2}-24 a \,b^{3} d^{3} n^{2} x^{3}+b^{4} c^{3} n^{4} x +36 b^{4} c^{2} d \,n^{3} x^{2}+123 b^{4} c \,d^{2} n^{2} x^{3}+50 b^{4} d^{3} n \,x^{4}+12 a^{2} b^{2} d^{3} n^{2} x^{2}-6 a \,b^{3} c^{2} d \,n^{3} x -72 a \,b^{3} c \,d^{2} n^{2} x^{2}-44 a \,b^{3} d^{3} n \,x^{3}+13 b^{4} c^{3} n^{3} x +147 b^{4} c^{2} d \,n^{2} x^{2}+183 b^{4} c \,d^{2} n \,x^{3}+24 d^{3} x^{4} b^{4}+18 a^{2} b^{2} c \,d^{2} n^{2} x +36 a^{2} b^{2} d^{3} n \,x^{2}-a \,b^{3} c^{3} n^{3}-60 a \,b^{3} c^{2} d \,n^{2} x -153 a \,b^{3} c \,d^{2} n \,x^{2}-24 a \,b^{3} d^{3} x^{3}+59 b^{4} c^{3} n^{2} x +234 b^{4} c^{2} d n \,x^{2}+90 b^{4} c \,d^{2} x^{3}-24 a^{3} b \,d^{3} n x +6 a^{2} b^{2} c^{2} d \,n^{2}+108 a^{2} b^{2} c \,d^{2} n x +24 a^{2} b^{2} d^{3} x^{2}-12 a \,b^{3} c^{3} n^{2}-174 a \,b^{3} c^{2} d n x -90 a \,b^{3} c \,d^{2} x^{2}+107 b^{4} c^{3} n x +120 b^{4} c^{2} d \,x^{2}-18 a^{3} b c \,d^{2} n -24 a^{3} b \,d^{3} x +54 a^{2} b^{2} c^{2} d n +90 a^{2} b^{2} c \,d^{2} x -47 a \,b^{3} c^{3} n -120 a \,b^{3} c^{2} d x +60 b^{4} c^{3} x +24 a^{4} d^{3}-90 a^{3} b c \,d^{2}+120 a^{2} b^{2} c^{2} d -60 a \,b^{3} c^{3}\right) \left(b x +a \right)^{n +1}}{\left(n^{5}+15 n^{4}+85 n^{3}+225 n^{2}+274 n +120\right) b^{5}}"," ",0,"(b*x+a)^(n+1)*(b^4*d^3*n^4*x^4+3*b^4*c*d^2*n^4*x^3+10*b^4*d^3*n^3*x^4-4*a*b^3*d^3*n^3*x^3+3*b^4*c^2*d*n^4*x^2+33*b^4*c*d^2*n^3*x^3+35*b^4*d^3*n^2*x^4-9*a*b^3*c*d^2*n^3*x^2-24*a*b^3*d^3*n^2*x^3+b^4*c^3*n^4*x+36*b^4*c^2*d*n^3*x^2+123*b^4*c*d^2*n^2*x^3+50*b^4*d^3*n*x^4+12*a^2*b^2*d^3*n^2*x^2-6*a*b^3*c^2*d*n^3*x-72*a*b^3*c*d^2*n^2*x^2-44*a*b^3*d^3*n*x^3+13*b^4*c^3*n^3*x+147*b^4*c^2*d*n^2*x^2+183*b^4*c*d^2*n*x^3+24*b^4*d^3*x^4+18*a^2*b^2*c*d^2*n^2*x+36*a^2*b^2*d^3*n*x^2-a*b^3*c^3*n^3-60*a*b^3*c^2*d*n^2*x-153*a*b^3*c*d^2*n*x^2-24*a*b^3*d^3*x^3+59*b^4*c^3*n^2*x+234*b^4*c^2*d*n*x^2+90*b^4*c*d^2*x^3-24*a^3*b*d^3*n*x+6*a^2*b^2*c^2*d*n^2+108*a^2*b^2*c*d^2*n*x+24*a^2*b^2*d^3*x^2-12*a*b^3*c^3*n^2-174*a*b^3*c^2*d*n*x-90*a*b^3*c*d^2*x^2+107*b^4*c^3*n*x+120*b^4*c^2*d*x^2-18*a^3*b*c*d^2*n-24*a^3*b*d^3*x+54*a^2*b^2*c^2*d*n+90*a^2*b^2*c*d^2*x-47*a*b^3*c^3*n-120*a*b^3*c^2*d*x+60*b^4*c^3*x+24*a^4*d^3-90*a^3*b*c*d^2+120*a^2*b^2*c^2*d-60*a*b^3*c^3)/b^5/(n^5+15*n^4+85*n^3+225*n^2+274*n+120)","B"
932,1,389,110,0.007000," ","int((b*x+a)^n*(d*x+c)^3,x)","-\frac{\left(-b^{3} d^{3} n^{3} x^{3}-3 b^{3} c \,d^{2} n^{3} x^{2}-6 b^{3} d^{3} n^{2} x^{3}+3 a \,b^{2} d^{3} n^{2} x^{2}-3 b^{3} c^{2} d \,n^{3} x -21 b^{3} c \,d^{2} n^{2} x^{2}-11 b^{3} d^{3} n \,x^{3}+6 a \,b^{2} c \,d^{2} n^{2} x +9 a \,b^{2} d^{3} n \,x^{2}-b^{3} c^{3} n^{3}-24 b^{3} c^{2} d \,n^{2} x -42 b^{3} c \,d^{2} n \,x^{2}-6 b^{3} d^{3} x^{3}-6 a^{2} b \,d^{3} n x +3 a \,b^{2} c^{2} d \,n^{2}+30 a \,b^{2} c \,d^{2} n x +6 a \,b^{2} d^{3} x^{2}-9 b^{3} c^{3} n^{2}-57 b^{3} c^{2} d n x -24 b^{3} c \,d^{2} x^{2}-6 a^{2} b c \,d^{2} n -6 a^{2} b \,d^{3} x +21 a \,b^{2} c^{2} d n +24 a \,b^{2} c \,d^{2} x -26 b^{3} c^{3} n -36 b^{3} c^{2} d x +6 a^{3} d^{3}-24 a^{2} b c \,d^{2}+36 a \,b^{2} c^{2} d -24 b^{3} c^{3}\right) \left(b x +a \right)^{n +1}}{\left(n^{4}+10 n^{3}+35 n^{2}+50 n +24\right) b^{4}}"," ",0,"-(b*x+a)^(n+1)*(-b^3*d^3*n^3*x^3-3*b^3*c*d^2*n^3*x^2-6*b^3*d^3*n^2*x^3+3*a*b^2*d^3*n^2*x^2-3*b^3*c^2*d*n^3*x-21*b^3*c*d^2*n^2*x^2-11*b^3*d^3*n*x^3+6*a*b^2*c*d^2*n^2*x+9*a*b^2*d^3*n*x^2-b^3*c^3*n^3-24*b^3*c^2*d*n^2*x-42*b^3*c*d^2*n*x^2-6*b^3*d^3*x^3-6*a^2*b*d^3*n*x+3*a*b^2*c^2*d*n^2+30*a*b^2*c*d^2*n*x+6*a*b^2*d^3*x^2-9*b^3*c^3*n^2-57*b^3*c^2*d*n*x-24*b^3*c*d^2*x^2-6*a^2*b*c*d^2*n-6*a^2*b*d^3*x+21*a*b^2*c^2*d*n+24*a*b^2*c*d^2*x-26*b^3*c^3*n-36*b^3*c^2*d*x+6*a^3*d^3-24*a^2*b*c*d^2+36*a*b^2*c^2*d-24*b^3*c^3)/b^4/(n^4+10*n^3+35*n^2+50*n+24)","B"
933,0,0,133,0.134000," ","int((b*x+a)^n*(d*x+c)^3/x,x)","\int \frac{\left(d x +c \right)^{3} \left(b x +a \right)^{n}}{x}\, dx"," ",0,"int((b*x+a)^n*(d*x+c)^3/x,x)","F"
934,0,0,145,0.131000," ","int((b*x+a)^n*(d*x+c)^3/x^2,x)","\int \frac{\left(d x +c \right)^{3} \left(b x +a \right)^{n}}{x^{2}}\, dx"," ",0,"int((b*x+a)^n*(d*x+c)^3/x^2,x)","F"
935,0,0,174,0.179000," ","int((b*x+a)^n*(d*x+c)^3/x^3,x)","\int \frac{\left(d x +c \right)^{3} \left(b x +a \right)^{n}}{x^{3}}\, dx"," ",0,"int((b*x+a)^n*(d*x+c)^3/x^3,x)","F"
936,1,23,22,0.003000," ","int(x^(1+2*n)*(b*x+a)^n*(3*b*x+2*a),x)","\frac{x^{2 n +2} \left(b x +a \right)^{n +1}}{n +1}"," ",0,"x^(2*n+2)*(b*x+a)^(n+1)/(n+1)","A"
937,0,0,110,0.141000," ","int(x^2*(b*x+a)^n/(d*x+c),x)","\int \frac{x^{2} \left(b x +a \right)^{n}}{d x +c}\, dx"," ",0,"int(x^2*(b*x+a)^n/(d*x+c),x)","F"
938,0,0,80,0.139000," ","int(x*(b*x+a)^n/(d*x+c),x)","\int \frac{x \left(b x +a \right)^{n}}{d x +c}\, dx"," ",0,"int(x*(b*x+a)^n/(d*x+c),x)","F"
939,0,0,53,0.140000," ","int((b*x+a)^n/(d*x+c),x)","\int \frac{\left(b x +a \right)^{n}}{d x +c}\, dx"," ",0,"int((b*x+a)^n/(d*x+c),x)","F"
940,0,0,99,0.136000," ","int((b*x+a)^n/x/(d*x+c),x)","\int \frac{\left(b x +a \right)^{n}}{\left(d x +c \right) x}\, dx"," ",0,"int((b*x+a)^n/x/(d*x+c),x)","F"
941,0,0,128,0.138000," ","int((b*x+a)^n/x^2/(d*x+c),x)","\int \frac{\left(b x +a \right)^{n}}{\left(d x +c \right) x^{2}}\, dx"," ",0,"int((b*x+a)^n/x^2/(d*x+c),x)","F"
942,0,0,205,0.139000," ","int(x^3*(b*x+a)^n/(d*x+c)^2,x)","\int \frac{x^{3} \left(b x +a \right)^{n}}{\left(d x +c \right)^{2}}\, dx"," ",0,"int(x^3*(b*x+a)^n/(d*x+c)^2,x)","F"
943,0,0,124,0.138000," ","int(x^2*(b*x+a)^n/(d*x+c)^2,x)","\int \frac{x^{2} \left(b x +a \right)^{n}}{\left(d x +c \right)^{2}}\, dx"," ",0,"int(x^2*(b*x+a)^n/(d*x+c)^2,x)","F"
944,0,0,101,0.138000," ","int(x*(b*x+a)^n/(d*x+c)^2,x)","\int \frac{x \left(b x +a \right)^{n}}{\left(d x +c \right)^{2}}\, dx"," ",0,"int(x*(b*x+a)^n/(d*x+c)^2,x)","F"
945,0,0,54,0.138000," ","int((b*x+a)^n/(d*x+c)^2,x)","\int \frac{\left(b x +a \right)^{n}}{\left(d x +c \right)^{2}}\, dx"," ",0,"int((b*x+a)^n/(d*x+c)^2,x)","F"
946,0,0,143,0.138000," ","int((b*x+a)^n/x/(d*x+c)^2,x)","\int \frac{\left(b x +a \right)^{n}}{\left(d x +c \right)^{2} x}\, dx"," ",0,"int((b*x+a)^n/x/(d*x+c)^2,x)","F"
947,0,0,194,0.137000," ","int((b*x+a)^n/x^2/(d*x+c)^2,x)","\int \frac{\left(b x +a \right)^{n}}{\left(d x +c \right)^{2} x^{2}}\, dx"," ",0,"int((b*x+a)^n/x^2/(d*x+c)^2,x)","F"
948,0,0,185,0.132000," ","int((b*x)^(5/2)*(d*x+c)^n*(f*x+e)^2,x)","\int \left(b x \right)^{\frac{5}{2}} \left(f x +e \right)^{2} \left(d x +c \right)^{n}\, dx"," ",0,"int((b*x)^(5/2)*(d*x+c)^n*(f*x+e)^2,x)","F"
949,0,0,99,0.130000," ","int((b*x)^(5/2)*(d*x+c)^n*(f*x+e),x)","\int \left(b x \right)^{\frac{5}{2}} \left(f x +e \right) \left(d x +c \right)^{n}\, dx"," ",0,"int((b*x)^(5/2)*(d*x+c)^n*(f*x+e),x)","F"
950,0,0,53,0.145000," ","int((b*x)^(5/2)*(d*x+c)^n/(f*x+e),x)","\int \frac{\left(b x \right)^{\frac{5}{2}} \left(d x +c \right)^{n}}{f x +e}\, dx"," ",0,"int((b*x)^(5/2)*(d*x+c)^n/(f*x+e),x)","F"
951,0,0,53,0.135000," ","int((b*x)^(5/2)*(d*x+c)^n/(f*x+e)^2,x)","\int \frac{\left(b x \right)^{\frac{5}{2}} \left(d x +c \right)^{n}}{\left(f x +e \right)^{2}}\, dx"," ",0,"int((b*x)^(5/2)*(d*x+c)^n/(f*x+e)^2,x)","F"
952,0,0,211,0.135000," ","int((b*x)^m*(d*x+c)^n*(f*x+e)^2,x)","\int \left(f x +e \right)^{2} \left(b x \right)^{m} \left(d x +c \right)^{n}\, dx"," ",0,"int((b*x)^m*(d*x+c)^n*(f*x+e)^2,x)","F"
953,0,0,110,0.129000," ","int((b*x)^m*(d*x+c)^n*(f*x+e),x)","\int \left(f x +e \right) \left(b x \right)^{m} \left(d x +c \right)^{n}\, dx"," ",0,"int((b*x)^m*(d*x+c)^n*(f*x+e),x)","F"
954,0,0,63,0.136000," ","int((b*x)^m*(d*x+c)^n/(f*x+e),x)","\int \frac{\left(b x \right)^{m} \left(d x +c \right)^{n}}{f x +e}\, dx"," ",0,"int((b*x)^m*(d*x+c)^n/(f*x+e),x)","F"
955,0,0,63,0.140000," ","int((b*x)^m*(d*x+c)^n/(f*x+e)^2,x)","\int \frac{\left(b x \right)^{m} \left(d x +c \right)^{n}}{\left(f x +e \right)^{2}}\, dx"," ",0,"int((b*x)^m*(d*x+c)^n/(f*x+e)^2,x)","F"
956,0,0,81,0.181000," ","int((b*x)^m*(d*x+c)^n*(f*x+e)^p,x)","\int \left(b x \right)^{m} \left(d x +c \right)^{n} \left(f x +e \right)^{p}\, dx"," ",0,"int((b*x)^m*(d*x+c)^n*(f*x+e)^p,x)","F"
957,0,0,207,0.140000," ","int((e*x)^m*(-b*x+a)^(n+2)*(b*x+a)^n,x)","\int \left(e x \right)^{m} \left(-b x +a \right)^{n +2} \left(b x +a \right)^{n}\, dx"," ",0,"int((e*x)^m*(-b*x+a)^(n+2)*(b*x+a)^n,x)","F"
958,0,0,208,0.138000," ","int(x^2*(b*x+a)^n*(d*x+c)^p,x)","\int x^{2} \left(b x +a \right)^{n} \left(d x +c \right)^{p}\, dx"," ",0,"int(x^2*(b*x+a)^n*(d*x+c)^p,x)","F"
959,0,0,119,0.135000," ","int(x*(b*x+a)^n*(d*x+c)^p,x)","\int x \left(b x +a \right)^{n} \left(d x +c \right)^{p}\, dx"," ",0,"int(x*(b*x+a)^n*(d*x+c)^p,x)","F"
960,0,0,63,0.143000," ","int((b*x+a)^n*(d*x+c)^p,x)","\int \left(b x +a \right)^{n} \left(d x +c \right)^{p}\, dx"," ",0,"int((b*x+a)^n*(d*x+c)^p,x)","F"
961,0,0,85,0.139000," ","int((b*x+a)^n*(d*x+c)^p/x,x)","\int \frac{\left(b x +a \right)^{n} \left(d x +c \right)^{p}}{x}\, dx"," ",0,"int((b*x+a)^n*(d*x+c)^p/x,x)","F"
962,0,0,85,0.138000," ","int((b*x+a)^n*(d*x+c)^p/x^2,x)","\int \frac{\left(b x +a \right)^{n} \left(d x +c \right)^{p}}{x^{2}}\, dx"," ",0,"int((b*x+a)^n*(d*x+c)^p/x^2,x)","F"
963,0,0,71,0.140000," ","int((b*x)^(3/2)*(d*x+c)^n*(f*x+e)^p,x)","\int \left(b x \right)^{\frac{3}{2}} \left(d x +c \right)^{n} \left(f x +e \right)^{p}\, dx"," ",0,"int((b*x)^(3/2)*(d*x+c)^n*(f*x+e)^p,x)","F"
964,0,0,71,0.137000," ","int((b*x)^(1/2)*(d*x+c)^n*(f*x+e)^p,x)","\int \sqrt{b x}\, \left(d x +c \right)^{n} \left(f x +e \right)^{p}\, dx"," ",0,"int((b*x)^(1/2)*(d*x+c)^n*(f*x+e)^p,x)","F"
965,0,0,71,0.137000," ","int((d*x+c)^n*(f*x+e)^p/(b*x)^(1/2),x)","\int \frac{\left(d x +c \right)^{n} \left(f x +e \right)^{p}}{\sqrt{b x}}\, dx"," ",0,"int((d*x+c)^n*(f*x+e)^p/(b*x)^(1/2),x)","F"
966,0,0,48,0.174000," ","int((b*x)^m*(d*x+Pi)^n*(f*x+E)^p,x)","\int \left(b x \right)^{m} \left(f x +E \right)^{p} \left(d x +\pi \right)^{n}\, dx"," ",0,"int((b*x)^m*(d*x+Pi)^n*(f*x+E)^p,x)","F"
967,0,0,65,0.137000," ","int((b*x)^m*(d*x+Pi)^n*(f*x+e)^p,x)","\int \left(b x \right)^{m} \left(d x +\pi \right)^{n} \left(f x +e \right)^{p}\, dx"," ",0,"int((b*x)^m*(d*x+Pi)^n*(f*x+e)^p,x)","F"
968,0,0,38,0.136000," ","int((b*x)^(5/2)*(d*x+Pi)^n*(f*x+E)^p,x)","\int \left(b x \right)^{\frac{5}{2}} \left(f x +E \right)^{p} \left(d x +\pi \right)^{n}\, dx"," ",0,"int((b*x)^(5/2)*(d*x+Pi)^n*(f*x+E)^p,x)","F"
969,0,0,55,0.138000," ","int((b*x)^(5/2)*(d*x+Pi)^n*(f*x+e)^p,x)","\int \left(b x \right)^{\frac{5}{2}} \left(d x +\pi \right)^{n} \left(f x +e \right)^{p}\, dx"," ",0,"int((b*x)^(5/2)*(d*x+Pi)^n*(f*x+e)^p,x)","F"
970,0,0,291,0.139000," ","int(x^3*(b*x+a)^n/((d*x+c)^n),x)","\int x^{3} \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\, dx"," ",0,"int(x^3*(b*x+a)^n/((d*x+c)^n),x)","F"
971,0,0,195,0.140000," ","int(x^2*(b*x+a)^n/((d*x+c)^n),x)","\int x^{2} \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\, dx"," ",0,"int(x^2*(b*x+a)^n/((d*x+c)^n),x)","F"
972,0,0,122,0.141000," ","int(x*(b*x+a)^n/((d*x+c)^n),x)","\int x \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\, dx"," ",0,"int(x*(b*x+a)^n/((d*x+c)^n),x)","F"
973,0,0,74,0.000000," ","int((b*x+a)^n/((d*x+c)^n),x)","\int \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\, dx"," ",0,"int((b*x+a)^n/((d*x+c)^n),x)","F"
974,0,0,112,0.138000," ","int((b*x+a)^n/x/((d*x+c)^n),x)","\int \frac{\left(b x +a \right)^{n} \left(d x +c \right)^{-n}}{x}\, dx"," ",0,"int((b*x+a)^n/x/((d*x+c)^n),x)","F"
975,0,0,64,0.137000," ","int((b*x+a)^n/x^2/((d*x+c)^n),x)","\int \frac{\left(b x +a \right)^{n} \left(d x +c \right)^{-n}}{x^{2}}\, dx"," ",0,"int((b*x+a)^n/x^2/((d*x+c)^n),x)","F"
976,0,0,115,0.140000," ","int((b*x+a)^n/x^3/((d*x+c)^n),x)","\int \frac{\left(b x +a \right)^{n} \left(d x +c \right)^{-n}}{x^{3}}\, dx"," ",0,"int((b*x+a)^n/x^3/((d*x+c)^n),x)","F"
977,0,0,190,0.139000," ","int((b*x+a)^n/x^4/((d*x+c)^n),x)","\int \frac{\left(b x +a \right)^{n} \left(d x +c \right)^{-n}}{x^{4}}\, dx"," ",0,"int((b*x+a)^n/x^4/((d*x+c)^n),x)","F"
978,0,0,97,0.136000," ","int((-x+1)^n*x^3/((x+1)^n),x)","\int x^{3} \left(-x +1\right)^{n} \left(x +1\right)^{-n}\, dx"," ",0,"int((-x+1)^n*x^3/((x+1)^n),x)","F"
979,0,0,86,0.141000," ","int((-x+1)^n*x^2/((x+1)^n),x)","\int x^{2} \left(-x +1\right)^{n} \left(x +1\right)^{-n}\, dx"," ",0,"int((-x+1)^n*x^2/((x+1)^n),x)","F"
980,0,0,57,0.135000," ","int((-x+1)^n*x/((x+1)^n),x)","\int x \left(-x +1\right)^{n} \left(x +1\right)^{-n}\, dx"," ",0,"int((-x+1)^n*x/((x+1)^n),x)","F"
981,0,0,36,0.138000," ","int((-x+1)^n/((x+1)^n),x)","\int \left(-x +1\right)^{n} \left(x +1\right)^{-n}\, dx"," ",0,"int((-x+1)^n/((x+1)^n),x)","F"
982,0,0,68,0.138000," ","int((-x+1)^n/x/((x+1)^n),x)","\int \frac{\left(-x +1\right)^{n} \left(x +1\right)^{-n}}{x}\, dx"," ",0,"int((-x+1)^n/x/((x+1)^n),x)","F"
983,0,0,46,0.138000," ","int((-x+1)^n/x^2/((x+1)^n),x)","\int \frac{\left(-x +1\right)^{n} \left(x +1\right)^{-n}}{x^{2}}\, dx"," ",0,"int((-x+1)^n/x^2/((x+1)^n),x)","F"
984,0,0,71,0.138000," ","int((-x+1)^n/x^3/((x+1)^n),x)","\int \frac{\left(-x +1\right)^{n} \left(x +1\right)^{-n}}{x^{3}}\, dx"," ",0,"int((-x+1)^n/x^3/((x+1)^n),x)","F"
985,0,0,101,0.137000," ","int((-x+1)^n/x^4/((x+1)^n),x)","\int \frac{\left(-x +1\right)^{n} \left(x +1\right)^{-n}}{x^{4}}\, dx"," ",0,"int((-x+1)^n/x^4/((x+1)^n),x)","F"
986,0,0,34,0.148000," ","int(x^m*(-a*x+1)^n*(a*x+1)^n,x)","\int x^{m} \left(-a x +1\right)^{n} \left(a x +1\right)^{n}\, dx"," ",0,"int(x^m*(-a*x+1)^n*(a*x+1)^n,x)","F"
987,0,0,37,0.152000," ","int(x^m*(-a*x+1)^n*(2*a*x+2)^n,x)","\int x^{m} \left(-a x +1\right)^{n} \left(2 a x +2\right)^{n}\, dx"," ",0,"int(x^m*(-a*x+1)^n*(2*a*x+2)^n,x)","F"
988,0,0,38,0.139000," ","int(x^m*(-a*x+2)^n*(a*x+2)^n,x)","\int x^{m} \left(-a x +2\right)^{n} \left(a x +2\right)^{n}\, dx"," ",0,"int(x^m*(-a*x+2)^n*(a*x+2)^n,x)","F"
989,0,0,38,0.156000," ","int(x^m*(1-1/2*a*x)^n*(a*x+2)^n,x)","\int x^{m} \left(-\frac{a x}{2}+1\right)^{n} \left(a x +2\right)^{n}\, dx"," ",0,"int(x^m*(1-1/2*a*x)^n*(a*x+2)^n,x)","F"
990,0,0,139,0.165000," ","int(x^m*(-2*a*x+3)^(n+2)*(4*a*x+6)^n,x)","\int x^{m} \left(-2 a x +3\right)^{n +2} \left(4 a x +6\right)^{n}\, dx"," ",0,"int(x^m*(-2*a*x+3)^(n+2)*(4*a*x+6)^n,x)","F"
991,0,0,91,0.162000," ","int(x^m*(-2*a*x+3)^(n+1)*(4*a*x+6)^n,x)","\int x^{m} \left(-2 a x +3\right)^{n +1} \left(4 a x +6\right)^{n}\, dx"," ",0,"int(x^m*(-2*a*x+3)^(n+1)*(4*a*x+6)^n,x)","F"
992,0,0,38,0.164000," ","int(x^m*(-2*a*x+3)^n*(4*a*x+6)^n,x)","\int x^{m} \left(-2 a x +3\right)^{n} \left(4 a x +6\right)^{n}\, dx"," ",0,"int(x^m*(-2*a*x+3)^n*(4*a*x+6)^n,x)","F"
993,0,0,96,0.161000," ","int(x^m*(-2*a*x+3)^(n-1)*(4*a*x+6)^n,x)","\int x^{m} \left(-2 a x +3\right)^{n -1} \left(4 a x +6\right)^{n}\, dx"," ",0,"int(x^m*(-2*a*x+3)^(n-1)*(4*a*x+6)^n,x)","F"
994,0,0,146,0.160000," ","int(x^m*(-2*a*x+3)^(n-2)*(4*a*x+6)^n,x)","\int x^{m} \left(-2 a x +3\right)^{n -2} \left(4 a x +6\right)^{n}\, dx"," ",0,"int(x^m*(-2*a*x+3)^(n-2)*(4*a*x+6)^n,x)","F"
995,0,0,79,0.149000," ","int(x^m*(b*x+a)^(n+1)*(d*x+c)^n,x)","\int x^{m} \left(b x +a \right)^{n +1} \left(d x +c \right)^{n}\, dx"," ",0,"int(x^m*(b*x+a)^(n+1)*(d*x+c)^n,x)","F"
996,0,0,79,0.143000," ","int((a-x)^m*(f*x)^p*(d*x+c)^n,x)","\int \left(f x \right)^{p} \left(a -x \right)^{m} \left(d x +c \right)^{n}\, dx"," ",0,"int((a-x)^m*(f*x)^p*(d*x+c)^n,x)","F"
997,0,0,79,0.140000," ","int((-x+1)^(-1/2+p)*(x+1)^(1/2+p)/((c*x)^(2+2*p)),x)","\int \left(c x \right)^{-2 p -2} \left(-x +1\right)^{p -\frac{1}{2}} \left(x +1\right)^{p +\frac{1}{2}}\, dx"," ",0,"int((-x+1)^(-1/2+p)*(x+1)^(1/2+p)/((c*x)^(2+2*p)),x)","F"
998,0,0,64,0.148000," ","int((1+x/a)^(1/2*n)/x^2/((1-x/a)^(1/2*n)),x)","\int \frac{\left(-\frac{x}{a}+1\right)^{-\frac{n}{2}} \left(\frac{x}{a}+1\right)^{\frac{n}{2}}}{x^{2}}\, dx"," ",0,"int((1+x/a)^(1/2*n)/x^2/((1-x/a)^(1/2*n)),x)","F"
999,0,0,44,0.139000," ","int((b*x)^(-2-2*m)*(-a*x+1)^m*(a*x+1)^m,x)","\int \left(b x \right)^{-2 m -2} \left(-a x +1\right)^{m} \left(a x +1\right)^{m}\, dx"," ",0,"int((b*x)^(-2-2*m)*(-a*x+1)^m*(a*x+1)^m,x)","F"
1000,0,0,86,0.136000," ","int((a*x+1)^n/x/((-a*x+1)^n),x)","\int \frac{\left(-a x +1\right)^{-n} \left(a x +1\right)^{n}}{x}\, dx"," ",0,"int((a*x+1)^n/x/((-a*x+1)^n),x)","F"
1001,0,0,106,0.134000," ","int((-a*x+1)^(-n+1)*(a*x+1)^(n+1)/x^2,x)","\int \frac{\left(-a x +1\right)^{-n +1} \left(a x +1\right)^{n +1}}{x^{2}}\, dx"," ",0,"int((-a*x+1)^(-n+1)*(a*x+1)^(n+1)/x^2,x)","F"
1002,1,98,26,0.013000," ","int(x^2/(-a*x+1)^7/(a*x+1)^4,x)","-\frac{1}{384 \left(a x +1\right)^{3} a^{3}}-\frac{3}{512 \left(a x +1\right)^{2} a^{3}}-\frac{1}{128 \left(a x +1\right) a^{3}}+\frac{1}{96 \left(a x -1\right)^{6} a^{3}}+\frac{1}{96 \left(a x -1\right)^{3} a^{3}}-\frac{5}{512 \left(a x -1\right)^{2} a^{3}}+\frac{1}{128 \left(a x -1\right) a^{3}}-\frac{1}{128 \left(a x -1\right)^{4} a^{3}}"," ",0,"-1/384/a^3/(a*x+1)^3-3/512/a^3/(a*x+1)^2-1/128/a^3/(a*x+1)+1/96/a^3/(a*x-1)^6+1/96/a^3/(a*x-1)^3-5/512/a^3/(a*x-1)^2+1/128/a^3/(a*x-1)-1/128/a^3/(a*x-1)^4","B"
1003,1,182,26,0.017000," ","int(x^2/(-a*x+1)^11/(a*x+1)^7,x)","-\frac{1}{12288 \left(a x +1\right)^{6} a^{3}}-\frac{7}{20480 \left(a x +1\right)^{5} a^{3}}-\frac{11}{8192 \left(a x +1\right)^{3} a^{3}}-\frac{121}{65536 \left(a x +1\right)^{2} a^{3}}-\frac{143}{65536 \left(a x +1\right) a^{3}}-\frac{13}{16384 \left(a x +1\right)^{4} a^{3}}+\frac{1}{1280 \left(a x -1\right)^{10} a^{3}}-\frac{1}{768 \left(a x -1\right)^{9} a^{3}}-\frac{7}{6144 \left(a x -1\right)^{6} a^{3}}+\frac{21}{10240 \left(a x -1\right)^{5} a^{3}}-\frac{21}{8192 \left(a x -1\right)^{4} a^{3}}+\frac{11}{4096 \left(a x -1\right)^{3} a^{3}}-\frac{165}{65536 \left(a x -1\right)^{2} a^{3}}+\frac{143}{65536 \left(a x -1\right) a^{3}}+\frac{1}{1024 \left(a x -1\right)^{8} a^{3}}"," ",0,"-1/12288/a^3/(a*x+1)^6-7/20480/a^3/(a*x+1)^5-11/8192/(a*x+1)^3/a^3-121/65536/(a*x+1)^2/a^3-143/65536/(a*x+1)/a^3-13/16384/a^3/(a*x+1)^4+1/1280/a^3/(a*x-1)^10-1/768/a^3/(a*x-1)^9-7/6144/(a*x-1)^6/a^3+21/10240/a^3/(a*x-1)^5-21/8192/(a*x-1)^4/a^3+11/4096/(a*x-1)^3/a^3-165/65536/(a*x-1)^2/a^3+143/65536/(a*x-1)/a^3+1/1024/a^3/(a*x-1)^8","B"
1004,1,290,26,0.020000," ","int(x^2/(-a*x+1)^16/(a*x+1)^11,x)","-\frac{1}{655360 \left(a x +1\right)^{10} a^{3}}-\frac{1}{98304 \left(a x +1\right)^{9} a^{3}}-\frac{3}{32768 \left(a x +1\right)^{7} a^{3}}-\frac{289}{1572864 \left(a x +1\right)^{6} a^{3}}-\frac{51}{163840 \left(a x +1\right)^{5} a^{3}}-\frac{969}{2097152 \left(a x +1\right)^{4} a^{3}}-\frac{323}{524288 \left(a x +1\right)^{3} a^{3}}-\frac{12597}{16777216 \left(a x +1\right)^{2} a^{3}}-\frac{3553}{4194304 \left(a x +1\right) a^{3}}-\frac{19}{524288 \left(a x +1\right)^{8} a^{3}}-\frac{1}{30720 \left(a x -1\right)^{15} a^{3}}+\frac{1}{8192 \left(a x -1\right)^{14} a^{3}}+\frac{11}{32768 \left(a x -1\right)^{12} a^{3}}-\frac{11}{32768 \left(a x -1\right)^{11} a^{3}}+\frac{143}{655360 \left(a x -1\right)^{10} a^{3}}-\frac{143}{524288 \left(a x -1\right)^{8} a^{3}}+\frac{143}{262144 \left(a x -1\right)^{7} a^{3}}-\frac{2431}{3145728 \left(a x -1\right)^{6} a^{3}}+\frac{2431}{2621440 \left(a x -1\right)^{5} a^{3}}-\frac{4199}{4194304 \left(a x -1\right)^{4} a^{3}}+\frac{4199}{4194304 \left(a x -1\right)^{3} a^{3}}-\frac{15827}{16777216 \left(a x -1\right)^{2} a^{3}}+\frac{3553}{4194304 \left(a x -1\right) a^{3}}-\frac{1}{4096 \left(a x -1\right)^{13} a^{3}}"," ",0,"-1/655360/a^3/(a*x+1)^10-1/98304/a^3/(a*x+1)^9-3/32768/a^3/(a*x+1)^7-289/1572864/(a*x+1)^6/a^3-51/163840/(a*x+1)^5/a^3-969/2097152/(a*x+1)^4/a^3-323/524288/(a*x+1)^3/a^3-12597/16777216/(a*x+1)^2/a^3-3553/4194304/(a*x+1)/a^3-19/524288/a^3/(a*x+1)^8-1/30720/a^3/(a*x-1)^15+1/8192/a^3/(a*x-1)^14+11/32768/a^3/(a*x-1)^12-11/32768/a^3/(a*x-1)^11+143/655360/(a*x-1)^10/a^3-143/524288/(a*x-1)^8/a^3+143/262144/a^3/(a*x-1)^7-2431/3145728/(a*x-1)^6/a^3+2431/2621440/(a*x-1)^5/a^3-4199/4194304/(a*x-1)^4/a^3+4199/4194304/(a*x-1)^3/a^3-15827/16777216/(a*x-1)^2/a^3+3553/4194304/(a*x-1)/a^3-1/4096/a^3/(a*x-1)^13","B"
1005,1,52,52,0.004000," ","int(x^2*(-a*x+1)^(-1-1/2*n*(n+1))*(a*x+1)^(-1-1/2*(n-1)*n),x)","\frac{\left(n a x -1\right) \left(-a x +1\right)^{-\frac{1}{2} n^{2}-\frac{1}{2} n} \left(a x +1\right)^{-\frac{1}{2} n^{2}+\frac{1}{2} n}}{\left(n^{2}-1\right) a^{3} n}"," ",0,"(a*x+1)^(-1/2*n^2+1/2*n)*(a*n*x-1)*(-a*x+1)^(-1/2*n^2-1/2*n)/a^3/n/(n^2-1)","A"
1006,0,0,142,0.149000," ","int((b*x+a)^(n+1)/x/((-b*x+a)^n),x)","\int \frac{\left(-b x +a \right)^{-n} \left(b x +a \right)^{n +1}}{x}\, dx"," ",0,"int((b*x+a)^(n+1)/x/((-b*x+a)^n),x)","F"
1007,0,0,142,0.144000," ","int((b*x+a)^(n+1)/x^2/((-b*x+a)^n),x)","\int \frac{\left(-b x +a \right)^{-n} \left(b x +a \right)^{n +1}}{x^{2}}\, dx"," ",0,"int((b*x+a)^(n+1)/x^2/((-b*x+a)^n),x)","F"
1008,0,0,64,0.140000," ","int((b*x+a)^(n+1)/x^3/((-b*x+a)^n),x)","\int \frac{\left(-b x +a \right)^{-n} \left(b x +a \right)^{n +1}}{x^{3}}\, dx"," ",0,"int((b*x+a)^(n+1)/x^3/((-b*x+a)^n),x)","F"
1009,0,0,99,0.141000," ","int((b*x+a)^(n+1)/x^4/((-b*x+a)^n),x)","\int \frac{\left(-b x +a \right)^{-n} \left(b x +a \right)^{n +1}}{x^{4}}\, dx"," ",0,"int((b*x+a)^(n+1)/x^4/((-b*x+a)^n),x)","F"
1010,0,0,135,0.139000," ","int((b*x+a)^(n+1)/x^5/((-b*x+a)^n),x)","\int \frac{\left(-b x +a \right)^{-n} \left(b x +a \right)^{n +1}}{x^{5}}\, dx"," ",0,"int((b*x+a)^(n+1)/x^5/((-b*x+a)^n),x)","F"
1011,1,176,71,0.001000," ","int((b*x+a)*(B*x+A)*(e*x+d)^4,x)","\frac{B b \,e^{4} x^{7}}{7}+A a \,d^{4} x +\frac{\left(4 B b d \,e^{3}+\left(A b +B a \right) e^{4}\right) x^{6}}{6}+\frac{\left(A a \,e^{4}+6 B b \,d^{2} e^{2}+4 \left(A b +B a \right) d \,e^{3}\right) x^{5}}{5}+\frac{\left(4 A a d \,e^{3}+4 B b \,d^{3} e +6 \left(A b +B a \right) d^{2} e^{2}\right) x^{4}}{4}+\frac{\left(6 A a \,d^{2} e^{2}+B b \,d^{4}+4 \left(A b +B a \right) d^{3} e \right) x^{3}}{3}+\frac{\left(4 A a \,d^{3} e +\left(A b +B a \right) d^{4}\right) x^{2}}{2}"," ",0,"1/7*b*B*e^4*x^7+1/6*((A*b+B*a)*e^4+4*b*B*d*e^3)*x^6+1/5*(a*A*e^4+4*(A*b+B*a)*d*e^3+6*b*B*d^2*e^2)*x^5+1/4*(4*a*A*d*e^3+6*(A*b+B*a)*d^2*e^2+4*b*B*d^3*e)*x^4+1/3*(6*a*A*d^2*e^2+4*(A*b+B*a)*d^3*e+b*B*d^4)*x^3+1/2*(4*a*A*d^3*e+(A*b+B*a)*d^4)*x^2+a*A*d^4*x","B"
1012,1,135,71,0.001000," ","int((b*x+a)*(B*x+A)*(e*x+d)^3,x)","\frac{B b \,e^{3} x^{6}}{6}+A a \,d^{3} x +\frac{\left(3 B b d \,e^{2}+\left(A b +B a \right) e^{3}\right) x^{5}}{5}+\frac{\left(A a \,e^{3}+3 B b \,d^{2} e +3 \left(A b +B a \right) d \,e^{2}\right) x^{4}}{4}+\frac{\left(3 A a d \,e^{2}+B b \,d^{3}+3 \left(A b +B a \right) d^{2} e \right) x^{3}}{3}+\frac{\left(3 A a \,d^{2} e +\left(A b +B a \right) d^{3}\right) x^{2}}{2}"," ",0,"1/6*b*B*e^3*x^6+1/5*((A*b+B*a)*e^3+3*b*B*d*e^2)*x^5+1/4*(a*A*e^3+3*(A*b+B*a)*d*e^2+3*b*B*d^2*e)*x^4+1/3*(3*a*A*d*e^2+3*(A*b+B*a)*d^2*e+b*B*d^3)*x^3+1/2*(3*a*A*d^2*e+(A*b+B*a)*d^3)*x^2+a*A*d^3*x","A"
1013,1,94,71,0.001000," ","int((b*x+a)*(B*x+A)*(e*x+d)^2,x)","\frac{B b \,e^{2} x^{5}}{5}+A a \,d^{2} x +\frac{\left(2 B b d e +\left(A b +B a \right) e^{2}\right) x^{4}}{4}+\frac{\left(A a \,e^{2}+B b \,d^{2}+2 \left(A b +B a \right) d e \right) x^{3}}{3}+\frac{\left(2 A a d e +\left(A b +B a \right) d^{2}\right) x^{2}}{2}"," ",0,"1/5*b*B*e^2*x^5+1/4*((A*b+B*a)*e^2+2*b*B*d*e)*x^4+1/3*(a*A*e^2+2*(A*b+B*a)*d*e+b*B*d^2)*x^3+1/2*(2*a*A*d*e+(A*b+B*a)*d^2)*x^2+a*A*d^2*x","A"
1014,1,53,50,0.002000," ","int((b*x+a)*(B*x+A)*(e*x+d),x)","\frac{B b e \,x^{4}}{4}+A a d x +\frac{\left(B b d +\left(A b +B a \right) e \right) x^{3}}{3}+\frac{\left(A a e +\left(A b +B a \right) d \right) x^{2}}{2}"," ",0,"1/4*b*B*e*x^4+1/3*((A*b+B*a)*e+B*b*d)*x^3+1/2*(A*a*e+(A*b+B*a)*d)*x^2+a*A*d*x","A"
1015,1,25,24,0.000000," ","int((b*x+a)*(B*x+A),x)","\frac{B b \,x^{3}}{3}+A a x +\frac{\left(A b +B a \right) x^{2}}{2}"," ",0,"1/3*B*b*x^3+A*a*x+1/2*(A*b+B*a)*x^2","A"
1016,1,90,58,0.004000," ","int((b*x+a)*(B*x+A)/(e*x+d),x)","\frac{B b \,x^{2}}{2 e}+\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{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}}"," ",0,"1/2/e*B*b*x^2+1/e*A*x*b+1/e*B*x*a-1/e^2*B*x*b*d+1/e*ln(e*x+d)*A*a-1/e^2*ln(e*x+d)*A*b*d-1/e^2*ln(e*x+d)*B*a*d+1/e^3*ln(e*x+d)*B*b*d^2","A"
1017,1,106,63,0.007000," ","int((b*x+a)*(B*x+A)/(e*x+d)^2,x)","-\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{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}}"," ",0,"b*B*x/e^2-1/e/(e*x+d)*A*a+1/e^2/(e*x+d)*A*d*b+1/e^2/(e*x+d)*B*d*a-1/e^3/(e*x+d)*B*b*d^2+1/e^2*ln(e*x+d)*A*b+1/e^2*ln(e*x+d)*B*a-2/e^3*ln(e*x+d)*B*b*d","A"
1018,1,118,68,0.007000," ","int((b*x+a)*(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{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{A b}{\left(e x +d \right) e^{2}}-\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}}"," ",0,"-1/e^2/(e*x+d)*A*b-1/e^2/(e*x+d)*B*a+2/e^3/(e*x+d)*B*b*d+b*B*ln(e*x+d)/e^3-1/2/e/(e*x+d)^2*A*a+1/2/e^2/(e*x+d)^2*A*d*b+1/2/e^2/(e*x+d)^2*B*d*a-1/2/e^3/(e*x+d)^2*B*b*d^2","A"
1019,1,79,71,0.006000," ","int((b*x+a)*(B*x+A)/(e*x+d)^4,x)","-\frac{B b}{\left(e x +d \right) e^{3}}-\frac{A a \,e^{2}-A d b e -B d a e +B b \,d^{2}}{3 \left(e x +d \right)^{3} e^{3}}-\frac{A b e +B a e -2 B b d}{2 \left(e x +d \right)^{2} e^{3}}"," ",0,"-b*B/e^3/(e*x+d)-1/3*(A*a*e^2-A*b*d*e-B*a*d*e+B*b*d^2)/e^3/(e*x+d)^3-1/2*(A*b*e+B*a*e-2*B*b*d)/e^3/(e*x+d)^2","A"
1020,1,79,71,0.004000," ","int((b*x+a)*(B*x+A)/(e*x+d)^5,x)","-\frac{B b}{2 \left(e x +d \right)^{2} e^{3}}-\frac{A b e +B a e -2 B b d}{3 \left(e x +d \right)^{3} e^{3}}-\frac{A a \,e^{2}-A d b e -B d a e +B b \,d^{2}}{4 \left(e x +d \right)^{4} e^{3}}"," ",0,"-1/3*(A*b*e+B*a*e-2*B*b*d)/e^3/(e*x+d)^3-1/4*(A*a*e^2-A*b*d*e-B*a*d*e+B*b*d^2)/e^3/(e*x+d)^4-1/2*b*B/e^3/(e*x+d)^2","A"
1021,1,79,71,0.004000," ","int((b*x+a)*(B*x+A)/(e*x+d)^6,x)","-\frac{B b}{3 \left(e x +d \right)^{3} e^{3}}-\frac{A b e +B a e -2 B b d}{4 \left(e x +d \right)^{4} e^{3}}-\frac{A a \,e^{2}-A d b e -B d a e +B b \,d^{2}}{5 \left(e x +d \right)^{5} e^{3}}"," ",0,"-1/3*b*B/e^3/(e*x+d)^3-1/4*(A*b*e+B*a*e-2*B*b*d)/e^3/(e*x+d)^4-1/5*(A*a*e^2-A*b*d*e-B*a*d*e+B*b*d^2)/e^3/(e*x+d)^5","A"
1022,1,305,112,0.000000," ","int((b*x+a)^2*(B*x+A)*(e*x+d)^4,x)","\frac{B \,b^{2} e^{4} x^{8}}{8}+A \,a^{2} d^{4} x +\frac{\left(4 B \,b^{2} d \,e^{3}+\left(A \,b^{2}+2 B a b \right) e^{4}\right) x^{7}}{7}+\frac{\left(6 B \,b^{2} d^{2} e^{2}+4 \left(A \,b^{2}+2 B a b \right) d \,e^{3}+\left(2 A a b +B \,a^{2}\right) e^{4}\right) x^{6}}{6}+\frac{\left(A \,a^{2} e^{4}+4 B \,b^{2} d^{3} e +6 \left(A \,b^{2}+2 B a b \right) d^{2} e^{2}+4 \left(2 A a b +B \,a^{2}\right) d \,e^{3}\right) x^{5}}{5}+\frac{\left(4 A \,a^{2} d \,e^{3}+B \,b^{2} d^{4}+4 \left(A \,b^{2}+2 B a b \right) d^{3} e +6 \left(2 A a b +B \,a^{2}\right) d^{2} e^{2}\right) x^{4}}{4}+\frac{\left(6 A \,a^{2} d^{2} e^{2}+\left(A \,b^{2}+2 B a b \right) d^{4}+4 \left(2 A a b +B \,a^{2}\right) d^{3} e \right) x^{3}}{3}+\frac{\left(4 A \,a^{2} d^{3} e +\left(2 A a b +B \,a^{2}\right) d^{4}\right) x^{2}}{2}"," ",0,"1/8*b^2*B*e^4*x^8+1/7*((A*b^2+2*B*a*b)*e^4+4*b^2*B*d*e^3)*x^7+1/6*((2*A*a*b+B*a^2)*e^4+4*(A*b^2+2*B*a*b)*d*e^3+6*b^2*B*d^2*e^2)*x^6+1/5*(a^2*A*e^4+4*(2*A*a*b+B*a^2)*d*e^3+6*(A*b^2+2*B*a*b)*d^2*e^2+4*b^2*B*d^3*e)*x^5+1/4*(4*a^2*A*d*e^3+6*(2*A*a*b+B*a^2)*d^2*e^2+4*(A*b^2+2*B*a*b)*d^3*e+b^2*B*d^4)*x^4+1/3*(6*a^2*A*d^2*e^2+4*(2*A*a*b+B*a^2)*d^3*e+(A*b^2+2*B*a*b)*d^4)*x^3+1/2*(4*a^2*A*d^3*e+(2*A*a*b+B*a^2)*d^4)*x^2+a^2*A*d^4*x","B"
1023,1,237,112,0.002000," ","int((b*x+a)^2*(B*x+A)*(e*x+d)^3,x)","\frac{B \,b^{2} e^{3} x^{7}}{7}+A \,a^{2} d^{3} x +\frac{\left(3 B \,b^{2} d \,e^{2}+\left(A \,b^{2}+2 B a b \right) e^{3}\right) x^{6}}{6}+\frac{\left(3 B \,b^{2} d^{2} e +3 \left(A \,b^{2}+2 B a b \right) d \,e^{2}+\left(2 A a b +B \,a^{2}\right) e^{3}\right) x^{5}}{5}+\frac{\left(A \,a^{2} e^{3}+B \,b^{2} d^{3}+3 \left(A \,b^{2}+2 B a b \right) d^{2} e +3 \left(2 A a b +B \,a^{2}\right) d \,e^{2}\right) x^{4}}{4}+\frac{\left(3 A \,a^{2} d \,e^{2}+\left(A \,b^{2}+2 B a b \right) d^{3}+3 \left(2 A a b +B \,a^{2}\right) d^{2} e \right) x^{3}}{3}+\frac{\left(3 A \,a^{2} d^{2} e +\left(2 A a b +B \,a^{2}\right) d^{3}\right) x^{2}}{2}"," ",0,"1/7*b^2*B*e^3*x^7+1/6*((A*b^2+2*B*a*b)*e^3+3*b^2*B*d*e^2)*x^6+1/5*((2*A*a*b+B*a^2)*e^3+3*(A*b^2+2*B*a*b)*d*e^2+3*b^2*B*d^2*e)*x^5+1/4*(a^2*A*e^3+3*(2*A*a*b+B*a^2)*d*e^2+3*(A*b^2+2*B*a*b)*d^2*e+b^2*B*d^3)*x^4+1/3*(3*a^2*A*d*e^2+3*(2*A*a*b+B*a^2)*d^2*e+(A*b^2+2*B*a*b)*d^3)*x^3+1/2*(3*a^2*A*d^2*e+(2*A*a*b+B*a^2)*d^3)*x^2+a^2*A*d^3*x","B"
1024,1,169,110,0.000000," ","int((b*x+a)^2*(B*x+A)*(e*x+d)^2,x)","\frac{B \,b^{2} e^{2} x^{6}}{6}+A \,a^{2} d^{2} x +\frac{\left(2 B \,b^{2} d e +\left(A \,b^{2}+2 B a b \right) e^{2}\right) x^{5}}{5}+\frac{\left(B \,b^{2} d^{2}+2 \left(A \,b^{2}+2 B a b \right) d e +\left(2 A a b +B \,a^{2}\right) e^{2}\right) x^{4}}{4}+\frac{\left(A \,a^{2} e^{2}+\left(A \,b^{2}+2 B a b \right) d^{2}+2 \left(2 A a b +B \,a^{2}\right) d e \right) x^{3}}{3}+\frac{\left(2 A \,a^{2} d e +\left(2 A a b +B \,a^{2}\right) d^{2}\right) x^{2}}{2}"," ",0,"1/6*b^2*B*e^2*x^6+1/5*((A*b^2+2*B*a*b)*e^2+2*b^2*B*d*e)*x^5+1/4*((2*A*a*b+B*a^2)*e^2+2*(A*b^2+2*B*a*b)*d*e+b^2*B*d^2)*x^4+1/3*(a^2*A*e^2+2*(2*A*a*b+B*a^2)*d*e+(A*b^2+2*B*a*b)*d^2)*x^3+1/2*(2*a^2*A*d*e+(2*A*a*b+B*a^2)*d^2)*x^2+a^2*A*d^2*x","A"
1025,1,101,69,0.001000," ","int((b*x+a)^2*(B*x+A)*(e*x+d),x)","\frac{B \,b^{2} e \,x^{5}}{5}+A \,a^{2} d x +\frac{\left(B \,b^{2} d +\left(A \,b^{2}+2 B a b \right) e \right) x^{4}}{4}+\frac{\left(\left(A \,b^{2}+2 B a b \right) d +\left(2 A a b +B \,a^{2}\right) e \right) x^{3}}{3}+\frac{\left(A \,a^{2} e +\left(2 A a b +B \,a^{2}\right) d \right) x^{2}}{2}"," ",0,"1/5*b^2*B*e*x^5+1/4*((A*b^2+2*B*a*b)*e+b^2*B*d)*x^4+1/3*((2*A*a*b+B*a^2)*e+(A*b^2+2*B*a*b)*d)*x^3+1/2*(a^2*A*e+(2*A*a*b+B*a^2)*d)*x^2+a^2*A*d*x","A"
1026,1,49,34,0.000000," ","int((b*x+a)^2*(B*x+A),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+A*a^2*x+1/3*(A*b^2+2*B*a*b)*x^3+1/2*(2*A*a*b+B*a^2)*x^2","A"
1027,1,197,88,0.003000," ","int((b*x+a)^2*(B*x+A)/(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*b^2*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+1/e*B*x*a^2-2/e^2*B*x*a*b*d+1/e^3*B*x*b^2*d^2+1/e*ln(e*x+d)*A*a^2-2/e^2*ln(e*x+d)*A*a*b*d+1/e^3*ln(e*x+d)*A*b^2*d^2-1/e^2*ln(e*x+d)*B*a^2*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"
1028,1,223,99,0.008000," ","int((b*x+a)^2*(B*x+A)/(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^2*B*x^2/e^2+b^2/e^2*A*x+2*b/e^2*B*x*a-2*b^2/e^3*B*x*d-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"
1029,1,242,104,0.008000," ","int((b*x+a)^2*(B*x+A)/(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^2*B*x/e^3-2/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+b^2/e^3*ln(e*x+d)*A+2*b/e^3*ln(e*x+d)*B*a-3*b^2/e^4*ln(e*x+d)*B*d-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"
1030,1,251,97,0.007000," ","int((b*x+a)^2*(B*x+A)/(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)*B*a+3*b^2/e^4/(e*x+d)*B*d-1/3/e/(e*x+d)^3*A*a^2+2/3/e^2/(e*x+d)^3*A*d*a*b-1/3/e^3/(e*x+d)^3*A*d^2*b^2+1/3/e^2/(e*x+d)^3*B*d*a^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+b^2*B*ln(e*x+d)/e^4-1/e^2/(e*x+d)^2*A*a*b+1/e^3/(e*x+d)^2*A*d*b^2-1/2/e^2/(e*x+d)^2*B*a^2+2/e^3/(e*x+d)^2*B*d*a*b-3/2/e^4/(e*x+d)^2*B*b^2*d^2","B"
1031,1,166,82,0.006000," ","int((b*x+a)^2*(B*x+A)/(e*x+d)^5,x)","-\frac{B \,b^{2}}{\left(e x +d \right) e^{4}}-\frac{\left(A b e +2 B a 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 d \,b^{2} e +B \,a^{2} e^{2}-4 B d a b e +3 B \,b^{2} d^{2}}{3 \left(e x +d \right)^{3} e^{4}}-\frac{A \,a^{2} e^{3}-2 A d a b \,e^{2}+A \,d^{2} b^{2} e -B d \,a^{2} e^{2}+2 B \,d^{2} a b e -B \,b^{2} d^{3}}{4 \left(e x +d \right)^{4} e^{4}}"," ",0,"-B*b^2/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)^3-1/4*(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)^4-1/2*b*(A*b*e+2*B*a*e-3*B*b*d)/e^4/(e*x+d)^2","B"
1032,1,166,112,0.007000," ","int((b*x+a)^2*(B*x+A)/(e*x+d)^6,x)","-\frac{B \,b^{2}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{\left(A b e +2 B a e -3 B b d \right) b}{3 \left(e x +d \right)^{3} e^{4}}-\frac{2 A a b \,e^{2}-2 A d \,b^{2} e +B \,a^{2} e^{2}-4 B d a b e +3 B \,b^{2} d^{2}}{4 \left(e x +d \right)^{4} e^{4}}-\frac{A \,a^{2} e^{3}-2 A d a b \,e^{2}+A \,d^{2} b^{2} e -B d \,a^{2} e^{2}+2 B \,d^{2} a b e -B \,b^{2} d^{3}}{5 \left(e x +d \right)^{5} e^{4}}"," ",0,"-1/3*b*(A*b*e+2*B*a*e-3*B*b*d)/e^4/(e*x+d)^3-1/4*(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)^4-1/5*(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)^5-1/2*b^2*B/e^4/(e*x+d)^2","A"
1033,1,166,112,0.007000," ","int((b*x+a)^2*(B*x+A)/(e*x+d)^7,x)","-\frac{B \,b^{2}}{3 \left(e x +d \right)^{3} e^{4}}-\frac{\left(A b e +2 B a 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 d \,b^{2} e +B \,a^{2} e^{2}-4 B d a b e +3 B \,b^{2} d^{2}}{5 \left(e x +d \right)^{5} e^{4}}-\frac{A \,a^{2} e^{3}-2 A d a b \,e^{2}+A \,d^{2} b^{2} e -B d \,a^{2} e^{2}+2 B \,d^{2} a b e -B \,b^{2} d^{3}}{6 \left(e x +d \right)^{6} e^{4}}"," ",0,"-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)^4-1/5*(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)^5-1/6*(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"
1034,1,166,112,0.006000," ","int((b*x+a)^2*(B*x+A)/(e*x+d)^8,x)","-\frac{B \,b^{2}}{4 \left(e x +d \right)^{4} e^{4}}-\frac{\left(A b e +2 B a e -3 B b d \right) b}{5 \left(e x +d \right)^{5} e^{4}}-\frac{2 A a b \,e^{2}-2 A d \,b^{2} e +B \,a^{2} e^{2}-4 B d a b e +3 B \,b^{2} d^{2}}{6 \left(e x +d \right)^{6} e^{4}}-\frac{A \,a^{2} e^{3}-2 A d a b \,e^{2}+A \,d^{2} b^{2} e -B d \,a^{2} e^{2}+2 B \,d^{2} a b e -B \,b^{2} d^{3}}{7 \left(e x +d \right)^{7} e^{4}}"," ",0,"-1/4*b^2*B/e^4/(e*x+d)^4-1/5*b*(A*b*e+2*B*a*e-3*B*b*d)/e^4/(e*x+d)^5-1/6*(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)^6-1/7*(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","A"
1035,1,529,153,0.002000," ","int((b*x+a)^3*(B*x+A)*(e*x+d)^5,x)","\frac{B \,b^{3} e^{5} x^{10}}{10}+A \,a^{3} d^{5} x +\frac{\left(5 B \,b^{3} d \,e^{4}+\left(b^{3} A +3 a \,b^{2} B \right) e^{5}\right) x^{9}}{9}+\frac{\left(10 B \,b^{3} d^{2} e^{3}+5 \left(b^{3} A +3 a \,b^{2} B \right) d \,e^{4}+\left(3 a \,b^{2} A +3 a^{2} b B \right) e^{5}\right) x^{8}}{8}+\frac{\left(10 B \,b^{3} d^{3} e^{2}+10 \left(b^{3} A +3 a \,b^{2} B \right) d^{2} e^{3}+5 \left(3 a \,b^{2} A +3 a^{2} b B \right) d \,e^{4}+\left(3 A \,a^{2} b +B \,a^{3}\right) e^{5}\right) x^{7}}{7}+\frac{\left(A \,a^{3} e^{5}+5 B \,b^{3} d^{4} e +10 \left(b^{3} A +3 a \,b^{2} B \right) d^{3} e^{2}+10 \left(3 a \,b^{2} A +3 a^{2} b B \right) d^{2} e^{3}+5 \left(3 A \,a^{2} b +B \,a^{3}\right) d \,e^{4}\right) x^{6}}{6}+\frac{\left(5 A \,a^{3} d \,e^{4}+B \,b^{3} d^{5}+5 \left(b^{3} A +3 a \,b^{2} B \right) d^{4} e +10 \left(3 a \,b^{2} A +3 a^{2} b B \right) d^{3} e^{2}+10 \left(3 A \,a^{2} b +B \,a^{3}\right) d^{2} e^{3}\right) x^{5}}{5}+\frac{\left(10 A \,a^{3} d^{2} e^{3}+\left(b^{3} A +3 a \,b^{2} B \right) d^{5}+5 \left(3 a \,b^{2} A +3 a^{2} b B \right) d^{4} e +10 \left(3 A \,a^{2} b +B \,a^{3}\right) d^{3} e^{2}\right) x^{4}}{4}+\frac{\left(10 A \,a^{3} d^{3} e^{2}+\left(3 a \,b^{2} A +3 a^{2} b B \right) d^{5}+5 \left(3 A \,a^{2} b +B \,a^{3}\right) d^{4} e \right) x^{3}}{3}+\frac{\left(5 A \,a^{3} d^{4} e +\left(3 A \,a^{2} b +B \,a^{3}\right) d^{5}\right) x^{2}}{2}"," ",0,"1/10*b^3*B*e^5*x^10+1/9*((A*b^3+3*B*a*b^2)*e^5+5*b^3*B*d*e^4)*x^9+1/8*((3*A*a*b^2+3*B*a^2*b)*e^5+5*(A*b^3+3*B*a*b^2)*d*e^4+10*b^3*B*d^2*e^3)*x^8+1/7*((3*A*a^2*b+B*a^3)*e^5+5*(3*A*a*b^2+3*B*a^2*b)*d*e^4+10*(A*b^3+3*B*a*b^2)*d^2*e^3+10*b^3*B*d^3*e^2)*x^7+1/6*(a^3*A*e^5+5*(3*A*a^2*b+B*a^3)*d*e^4+10*(3*A*a*b^2+3*B*a^2*b)*d^2*e^3+10*(A*b^3+3*B*a*b^2)*d^3*e^2+5*b^3*B*d^4*e)*x^6+1/5*(5*a^3*A*d*e^4+10*(3*A*a^2*b+B*a^3)*d^2*e^3+10*(3*A*a*b^2+3*B*a^2*b)*d^3*e^2+5*(A*b^3+3*B*a*b^2)*d^4*e+b^3*B*d^5)*x^5+1/4*(10*a^3*A*d^2*e^3+10*(3*A*a^2*b+B*a^3)*d^3*e^2+5*(3*A*a*b^2+3*B*a^2*b)*d^4*e+(A*b^3+3*B*a*b^2)*d^5)*x^4+1/3*(10*a^3*A*d^3*e^2+5*(3*A*a^2*b+B*a^3)*d^4*e+(3*A*a*b^2+3*B*a^2*b)*d^5)*x^3+1/2*(5*a^3*A*d^4*e+(3*A*a^2*b+B*a^3)*d^5)*x^2+a^3*A*d^5*x","B"
1036,1,434,153,0.001000," ","int((b*x+a)^3*(B*x+A)*(e*x+d)^4,x)","\frac{B \,b^{3} e^{4} x^{9}}{9}+A \,a^{3} d^{4} x +\frac{\left(4 B \,b^{3} d \,e^{3}+\left(b^{3} A +3 a \,b^{2} B \right) e^{4}\right) x^{8}}{8}+\frac{\left(6 B \,b^{3} d^{2} e^{2}+4 \left(b^{3} A +3 a \,b^{2} B \right) d \,e^{3}+\left(3 a \,b^{2} A +3 a^{2} b B \right) e^{4}\right) x^{7}}{7}+\frac{\left(4 B \,b^{3} d^{3} e +6 \left(b^{3} A +3 a \,b^{2} B \right) d^{2} e^{2}+4 \left(3 a \,b^{2} A +3 a^{2} b B \right) d \,e^{3}+\left(3 A \,a^{2} b +B \,a^{3}\right) e^{4}\right) x^{6}}{6}+\frac{\left(A \,a^{3} e^{4}+B \,b^{3} d^{4}+4 \left(b^{3} A +3 a \,b^{2} B \right) d^{3} e +6 \left(3 a \,b^{2} A +3 a^{2} b B \right) d^{2} e^{2}+4 \left(3 A \,a^{2} b +B \,a^{3}\right) d \,e^{3}\right) x^{5}}{5}+\frac{\left(4 A \,a^{3} d \,e^{3}+\left(b^{3} A +3 a \,b^{2} B \right) d^{4}+4 \left(3 a \,b^{2} A +3 a^{2} b B \right) d^{3} e +6 \left(3 A \,a^{2} b +B \,a^{3}\right) d^{2} e^{2}\right) x^{4}}{4}+\frac{\left(6 A \,a^{3} d^{2} e^{2}+\left(3 a \,b^{2} A +3 a^{2} b B \right) d^{4}+4 \left(3 A \,a^{2} b +B \,a^{3}\right) d^{3} e \right) x^{3}}{3}+\frac{\left(4 A \,a^{3} d^{3} e +\left(3 A \,a^{2} b +B \,a^{3}\right) d^{4}\right) x^{2}}{2}"," ",0,"1/9*b^3*B*e^4*x^9+1/8*((A*b^3+3*B*a*b^2)*e^4+4*b^3*B*d*e^3)*x^8+1/7*((3*A*a*b^2+3*B*a^2*b)*e^4+4*(A*b^3+3*B*a*b^2)*d*e^3+6*b^3*B*d^2*e^2)*x^7+1/6*((3*A*a^2*b+B*a^3)*e^4+4*(3*A*a*b^2+3*B*a^2*b)*d*e^3+6*(A*b^3+3*B*a*b^2)*d^2*e^2+4*b^3*B*d^3*e)*x^6+1/5*(a^3*A*e^4+4*(3*A*a^2*b+B*a^3)*d*e^3+6*(3*A*a*b^2+3*B*a^2*b)*d^2*e^2+4*(A*b^3+3*B*a*b^2)*d^3*e+b^3*B*d^4)*x^5+1/4*(4*a^3*A*d*e^3+6*(3*A*a^2*b+B*a^3)*d^2*e^2+4*(3*A*a*b^2+3*B*a^2*b)*d^3*e+(A*b^3+3*B*a*b^2)*d^4)*x^4+1/3*(6*a^3*A*d^2*e^2+4*(3*A*a^2*b+B*a^3)*d^3*e+(3*A*a*b^2+3*B*a^2*b)*d^4)*x^3+1/2*(4*a^3*A*d^3*e+(3*A*a^2*b+B*a^3)*d^4)*x^2+a^3*A*d^4*x","B"
1037,1,339,149,0.002000," ","int((b*x+a)^3*(B*x+A)*(e*x+d)^3,x)","\frac{B \,b^{3} e^{3} x^{8}}{8}+A \,a^{3} d^{3} x +\frac{\left(3 B \,b^{3} d \,e^{2}+\left(b^{3} A +3 a \,b^{2} B \right) e^{3}\right) x^{7}}{7}+\frac{\left(3 B \,b^{3} d^{2} e +3 \left(b^{3} A +3 a \,b^{2} B \right) d \,e^{2}+\left(3 a \,b^{2} A +3 a^{2} b B \right) e^{3}\right) x^{6}}{6}+\frac{\left(B \,b^{3} d^{3}+3 \left(b^{3} A +3 a \,b^{2} B \right) d^{2} e +3 \left(3 a \,b^{2} A +3 a^{2} b B \right) d \,e^{2}+\left(3 A \,a^{2} b +B \,a^{3}\right) e^{3}\right) x^{5}}{5}+\frac{\left(A \,a^{3} e^{3}+\left(b^{3} A +3 a \,b^{2} B \right) d^{3}+3 \left(3 a \,b^{2} A +3 a^{2} b B \right) d^{2} e +3 \left(3 A \,a^{2} b +B \,a^{3}\right) d \,e^{2}\right) x^{4}}{4}+\frac{\left(3 A \,a^{3} d \,e^{2}+\left(3 a \,b^{2} A +3 a^{2} b B \right) d^{3}+3 \left(3 A \,a^{2} b +B \,a^{3}\right) d^{2} e \right) x^{3}}{3}+\frac{\left(3 A \,a^{3} d^{2} e +\left(3 A \,a^{2} b +B \,a^{3}\right) d^{3}\right) x^{2}}{2}"," ",0,"1/8*b^3*B*e^3*x^8+1/7*((A*b^3+3*B*a*b^2)*e^3+3*b^3*B*d*e^2)*x^7+1/6*((3*A*a*b^2+3*B*a^2*b)*e^3+3*(A*b^3+3*B*a*b^2)*d*e^2+3*b^3*B*d^2*e)*x^6+1/5*((3*A*a^2*b+B*a^3)*e^3+3*(3*A*a*b^2+3*B*a^2*b)*d*e^2+3*(A*b^3+3*B*a*b^2)*d^2*e+b^3*B*d^3)*x^5+1/4*(a^3*A*e^3+3*(3*A*a^2*b+B*a^3)*d*e^2+3*(3*A*a*b^2+3*B*a^2*b)*d^2*e+(A*b^3+3*B*a*b^2)*d^3)*x^4+1/3*(3*a^3*A*d*e^2+3*(3*A*a^2*b+B*a^3)*d^2*e+(3*A*a*b^2+3*B*a^2*b)*d^3)*x^3+1/2*(3*a^3*A*d^2*e+(3*A*a^2*b+B*a^3)*d^3)*x^2+a^3*A*d^3*x","B"
1038,1,244,110,0.000000," ","int((b*x+a)^3*(B*x+A)*(e*x+d)^2,x)","\frac{B \,b^{3} e^{2} x^{7}}{7}+A \,a^{3} d^{2} x +\frac{\left(2 B \,b^{3} d e +\left(b^{3} A +3 a \,b^{2} B \right) e^{2}\right) x^{6}}{6}+\frac{\left(B \,b^{3} d^{2}+2 \left(b^{3} A +3 a \,b^{2} B \right) d e +\left(3 a \,b^{2} A +3 a^{2} b B \right) e^{2}\right) x^{5}}{5}+\frac{\left(\left(b^{3} A +3 a \,b^{2} B \right) d^{2}+2 \left(3 a \,b^{2} A +3 a^{2} b B \right) d e +\left(3 A \,a^{2} b +B \,a^{3}\right) e^{2}\right) x^{4}}{4}+\frac{\left(A \,a^{3} e^{2}+\left(3 a \,b^{2} A +3 a^{2} b B \right) d^{2}+2 \left(3 A \,a^{2} b +B \,a^{3}\right) d e \right) x^{3}}{3}+\frac{\left(2 A \,a^{3} d e +\left(3 A \,a^{2} b +B \,a^{3}\right) d^{2}\right) x^{2}}{2}"," ",0,"1/7*b^3*B*e^2*x^7+1/6*((A*b^3+3*B*a*b^2)*e^2+2*b^3*B*d*e)*x^6+1/5*((3*A*a*b^2+3*B*a^2*b)*e^2+2*(A*b^3+3*B*a*b^2)*d*e+b^3*B*d^2)*x^5+1/4*((3*A*a^2*b+B*a^3)*e^2+2*(3*A*a*b^2+3*B*a^2*b)*d*e+(A*b^3+3*B*a*b^2)*d^2)*x^4+1/3*(a^3*A*e^2+2*(3*A*a^2*b+B*a^3)*d*e+(3*A*a*b^2+3*B*a^2*b)*d^2)*x^3+1/2*(2*a^3*A*d*e+(3*A*a^2*b+B*a^3)*d^2)*x^2+a^3*A*d^2*x","B"
1039,1,149,69,0.001000," ","int((b*x+a)^3*(B*x+A)*(e*x+d),x)","\frac{B \,b^{3} e \,x^{6}}{6}+A \,a^{3} d x +\frac{\left(B \,b^{3} d +\left(b^{3} A +3 a \,b^{2} B \right) e \right) x^{5}}{5}+\frac{\left(\left(b^{3} A +3 a \,b^{2} B \right) d +\left(3 a \,b^{2} A +3 a^{2} b B \right) e \right) x^{4}}{4}+\frac{\left(\left(3 a \,b^{2} A +3 a^{2} b B \right) d +\left(3 A \,a^{2} b +B \,a^{3}\right) e \right) x^{3}}{3}+\frac{\left(A \,a^{3} e +\left(3 A \,a^{2} b +B \,a^{3}\right) d \right) x^{2}}{2}"," ",0,"1/6*b^3*B*e*x^6+1/5*((A*b^3+3*B*a*b^2)*e+b^3*B*d)*x^5+1/4*((3*A*a*b^2+3*B*a^2*b)*e+(A*b^3+3*B*a*b^2)*d)*x^4+1/3*((3*A*a^2*b+B*a^3)*e+(3*A*a*b^2+3*B*a^2*b)*d)*x^3+1/2*(a^3*A*e+(3*A*a^2*b+B*a^3)*d)*x^2+a^3*A*d*x","B"
1040,1,73,34,0.000000," ","int((b*x+a)^3*(B*x+A),x)","\frac{B \,b^{3} x^{5}}{5}+A \,a^{3} x +\frac{\left(b^{3} A +3 a \,b^{2} B \right) x^{4}}{4}+\frac{\left(3 a \,b^{2} A +3 a^{2} b B \right) x^{3}}{3}+\frac{\left(3 A \,a^{2} b +B \,a^{3}\right) x^{2}}{2}"," ",0,"1/5*B*b^3*x^5+A*a^3*x+1/4*(A*b^3+3*B*a*b^2)*x^4+1/3*(3*A*a*b^2+3*B*a^2*b)*x^3+1/2*(3*A*a^2*b+B*a^3)*x^2","B"
1041,1,341,118,0.006000," ","int((b*x+a)^3*(B*x+A)/(e*x+d),x)","\frac{B \,b^{3} x^{4}}{4 e}+\frac{A \,b^{3} x^{3}}{3 e}+\frac{B a \,b^{2} x^{3}}{e}-\frac{B \,b^{3} d \,x^{3}}{3 e^{2}}+\frac{3 A a \,b^{2} x^{2}}{2 e}-\frac{A \,b^{3} d \,x^{2}}{2 e^{2}}+\frac{3 B \,a^{2} b \,x^{2}}{2 e}-\frac{3 B a \,b^{2} d \,x^{2}}{2 e^{2}}+\frac{B \,b^{3} d^{2} x^{2}}{2 e^{3}}+\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 \,b^{2} d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{3 A a \,b^{2} d x}{e^{2}}-\frac{A \,b^{3} d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{A \,b^{3} d^{2} x}{e^{3}}-\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 \,b^{2} d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{3 B a \,b^{2} d^{2} x}{e^{3}}+\frac{B \,b^{3} d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{B \,b^{3} d^{3} x}{e^{4}}"," ",0,"1/4/e*B*b^3*x^4+1/3/e*A*x^3*b^3+1/e*B*x^3*a*b^2-1/3/e^2*B*x^3*b^3*d+3/2/e*A*x^2*a*b^2-1/2/e^2*A*x^2*b^3*d+3/2/e*B*x^2*a^2*b-3/2/e^2*B*x^2*a*b^2*d+1/2/e^3*B*x^2*b^3*d^2+3/e*A*x*a^2*b-3/e^2*A*x*a*b^2*d+1/e^3*A*x*b^3*d^2+1/e*B*x*a^3-3/e^2*B*x*a^2*b*d+3/e^3*B*x*a*b^2*d^2-1/e^4*B*x*b^3*d^3+1/e*ln(e*x+d)*A*a^3-3/e^2*ln(e*x+d)*A*a^2*b*d+3/e^3*ln(e*x+d)*A*a*b^2*d^2-1/e^4*ln(e*x+d)*A*b^3*d^3-1/e^2*ln(e*x+d)*B*a^3*d+3/e^3*ln(e*x+d)*B*a^2*b*d^2-3/e^4*ln(e*x+d)*B*a*b^2*d^3+1/e^5*ln(e*x+d)*B*b^3*d^4","B"
1042,1,376,146,0.010000," ","int((b*x+a)^3*(B*x+A)/(e*x+d)^2,x)","\frac{B \,b^{3} x^{3}}{3 e^{2}}+\frac{A \,b^{3} x^{2}}{2 e^{2}}+\frac{3 B a \,b^{2} x^{2}}{2 e^{2}}-\frac{B \,b^{3} d \,x^{2}}{e^{3}}-\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 \,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{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{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 \,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{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}}"," ",0,"1/3*b^3/e^2*B*x^3+1/2*b^3/e^2*A*x^2+3/2*b^2/e^2*B*x^2*a-b^3/e^3*B*x^2*d+3*b^2/e^2*A*x*a-2*b^3/e^3*A*x*d+3*b/e^2*B*x*a^2-6*b^2/e^3*B*x*a*d+3*b^3/e^4*B*x*d^2-1/e/(e*x+d)*A*a^3+3/e^2/(e*x+d)*A*d*a^2*b-3/e^3/(e*x+d)*A*a*b^2*d^2+1/e^4/(e*x+d)*A*b^3*d^3+1/e^2/(e*x+d)*B*d*a^3-3/e^3/(e*x+d)*B*a^2*b*d^2+3/e^4/(e*x+d)*B*a*b^2*d^3-1/e^5/(e*x+d)*B*b^3*d^4+3/e^2*ln(e*x+d)*A*a^2*b-6/e^3*ln(e*x+d)*A*a*b^2*d+3/e^4*ln(e*x+d)*A*b^3*d^2+1/e^2*ln(e*x+d)*B*a^3-6/e^3*ln(e*x+d)*B*a^2*b*d+9/e^4*ln(e*x+d)*B*a*b^2*d^2-4/e^5*ln(e*x+d)*B*b^3*d^3","B"
1043,1,404,141,0.011000," ","int((b*x+a)^3*(B*x+A)/(e*x+d)^3,x)","-\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 \,b^{2} d^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{A \,b^{3} d^{3}}{2 \left(e x +d \right)^{2} e^{4}}+\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 \,b^{2} d^{3}}{2 \left(e x +d \right)^{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 A \,a^{2} b}{\left(e x +d \right) e^{2}}+\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{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{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 \,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{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}}"," ",0,"1/2*b^3*B*x^2/e^3+b^3/e^3*A*x+3*b^2/e^3*B*x*a-3*b^3/e^4*B*x*d-3/e^2/(e*x+d)*A*a^2*b+6/e^3/(e*x+d)*A*a*b^2*d-3/e^4/(e*x+d)*A*b^3*d^2-1/e^2/(e*x+d)*B*a^3+6/e^3/(e*x+d)*B*a^2*b*d-9/e^4/(e*x+d)*B*a*b^2*d^2+4/e^5/(e*x+d)*B*b^3*d^3+3*b^2/e^3*ln(e*x+d)*A*a-3*b^3/e^4*ln(e*x+d)*A*d+3*b/e^3*ln(e*x+d)*B*a^2-9*b^2/e^4*ln(e*x+d)*B*d*a+6*b^3/e^5*ln(e*x+d)*B*d^2-1/2/e/(e*x+d)^2*A*a^3+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+1/2/e^4/(e*x+d)^2*A*b^3*d^3+1/2/e^2/(e*x+d)^2*B*d*a^3-3/2/e^3/(e*x+d)^2*B*d^2*a^2*b+3/2/e^4/(e*x+d)^2*B*a*b^2*d^3-1/2/e^5/(e*x+d)^2*B*b^3*d^4","B"
1044,1,419,145,0.012000," ","int((b*x+a)^3*(B*x+A)/(e*x+d)^4,x)","-\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 \,b^{2} d^{2}}{\left(e x +d \right)^{3} e^{3}}+\frac{A \,b^{3} d^{3}}{3 \left(e x +d \right)^{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 \,b^{2} d^{3}}{\left(e x +d \right)^{3} e^{4}}-\frac{B \,b^{3} d^{4}}{3 \left(e x +d \right)^{3} e^{5}}-\frac{3 A \,a^{2} b}{2 \left(e x +d \right)^{2} e^{2}}+\frac{3 A a \,b^{2} d}{\left(e x +d \right)^{2} e^{3}}-\frac{3 A \,b^{3} d^{2}}{2 \left(e x +d \right)^{2} e^{4}}-\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 \,b^{2} d^{2}}{2 \left(e x +d \right)^{2} e^{4}}+\frac{2 B \,b^{3} d^{3}}{\left(e x +d \right)^{2} e^{5}}-\frac{3 A a \,b^{2}}{\left(e x +d \right) e^{3}}+\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{3 B \,a^{2} b}{\left(e x +d \right) e^{3}}+\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{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}}"," ",0,"b^3*B*x/e^4-3*b^2/e^3/(e*x+d)*A*a+3*b^3/e^4/(e*x+d)*A*d-3*b/e^3/(e*x+d)*B*a^2+9*b^2/e^4/(e*x+d)*B*d*a-6*b^3/e^5/(e*x+d)*B*d^2-1/3/e/(e*x+d)^3*A*a^3+1/e^2/(e*x+d)^3*A*d*a^2*b-1/e^3/(e*x+d)^3*A*d^2*a*b^2+1/3/e^4/(e*x+d)^3*A*d^3*b^3+1/3/e^2/(e*x+d)^3*B*d*a^3-1/e^3/(e*x+d)^3*B*d^2*a^2*b+1/e^4/(e*x+d)^3*B*d^3*a*b^2-1/3/e^5/(e*x+d)^3*B*b^3*d^4+b^3/e^4*ln(e*x+d)*A+3*b^2/e^4*ln(e*x+d)*B*a-4*b^3/e^5*ln(e*x+d)*B*d-3/2/e^2/(e*x+d)^2*A*a^2*b+3/e^3/(e*x+d)^2*A*a*b^2*d-3/2/e^4/(e*x+d)^2*A*b^3*d^2-1/2/e^2/(e*x+d)^2*B*a^3+3/e^3/(e*x+d)^2*B*a^2*b*d-9/2/e^4/(e*x+d)^2*B*a*b^2*d^2+2/e^5/(e*x+d)^2*B*b^3*d^3","B"
1045,1,430,123,0.010000," ","int((b*x+a)^3*(B*x+A)/(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 \,b^{2} d^{2}}{4 \left(e x +d \right)^{4} e^{3}}+\frac{A \,b^{3} d^{3}}{4 \left(e x +d \right)^{4} e^{4}}+\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 \,b^{2} d^{3}}{4 \left(e x +d \right)^{4} e^{4}}-\frac{B \,b^{3} d^{4}}{4 \left(e x +d \right)^{4} e^{5}}-\frac{A \,a^{2} b}{\left(e x +d \right)^{3} e^{2}}+\frac{2 A a \,b^{2} d}{\left(e x +d \right)^{3} e^{3}}-\frac{A \,b^{3} d^{2}}{\left(e x +d \right)^{3} e^{4}}-\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 \,b^{2} d^{2}}{\left(e x +d \right)^{3} e^{4}}+\frac{4 B \,b^{3} d^{3}}{3 \left(e x +d \right)^{3} e^{5}}-\frac{3 A a \,b^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{3 A \,b^{3} d}{2 \left(e x +d \right)^{2} e^{4}}-\frac{3 B \,a^{2} b}{2 \left(e x +d \right)^{2} e^{3}}+\frac{9 B a \,b^{2} d}{2 \left(e x +d \right)^{2} e^{4}}-\frac{3 B \,b^{3} d^{2}}{\left(e x +d \right)^{2} e^{5}}-\frac{A \,b^{3}}{\left(e x +d \right) e^{4}}-\frac{3 B a \,b^{2}}{\left(e x +d \right) e^{4}}+\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}}"," ",0,"-b^3/e^4/(e*x+d)*A-3*b^2/e^4/(e*x+d)*B*a+4*b^3/e^5/(e*x+d)*B*d-1/e^2/(e*x+d)^3*A*a^2*b+2/e^3/(e*x+d)^3*A*d*a*b^2-1/e^4/(e*x+d)^3*A*d^2*b^3-1/3/e^2/(e*x+d)^3*B*a^3+2/e^3/(e*x+d)^3*B*d*a^2*b-3/e^4/(e*x+d)^3*B*d^2*a*b^2+4/3/e^5/(e*x+d)^3*B*b^3*d^3-1/4/e/(e*x+d)^4*A*a^3+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*b^2+1/4/e^4/(e*x+d)^4*A*d^3*b^3+1/4/e^2/(e*x+d)^4*B*d*a^3-3/4/e^3/(e*x+d)^4*B*d^2*a^2*b+3/4/e^4/(e*x+d)^4*B*d^3*a*b^2-1/4/e^5/(e*x+d)^4*B*b^3*d^4+b^3*B*ln(e*x+d)/e^5-3/2*b^2/e^3/(e*x+d)^2*A*a+3/2*b^3/e^4/(e*x+d)^2*A*d-3/2*b/e^3/(e*x+d)^2*B*a^2+9/2*b^2/e^4/(e*x+d)^2*B*d*a-3*b^3/e^5/(e*x+d)^2*B*d^2","B"
1046,1,281,82,0.007000," ","int((b*x+a)^3*(B*x+A)/(e*x+d)^6,x)","-\frac{B \,b^{3}}{\left(e x +d \right) e^{5}}-\frac{\left(A b e +3 B a e -4 B b d \right) b^{2}}{2 \left(e x +d \right)^{2} e^{5}}-\frac{\left(A a b \,e^{2}-A d \,b^{2} e +B \,a^{2} e^{2}-3 B d a b e +2 B \,b^{2} d^{2}\right) b}{\left(e x +d \right)^{3} e^{5}}-\frac{3 A \,a^{2} b \,e^{3}-6 A d a \,b^{2} e^{2}+3 A \,d^{2} b^{3} e +B \,a^{3} e^{3}-6 B d \,a^{2} b \,e^{2}+9 B \,d^{2} a \,b^{2} e -4 B \,b^{3} d^{3}}{4 \left(e x +d \right)^{4} e^{5}}-\frac{A \,a^{3} e^{4}-3 A d \,a^{2} b \,e^{3}+3 A \,d^{2} a \,b^{2} e^{2}-A \,d^{3} b^{3} e -B d \,a^{3} e^{3}+3 B \,d^{2} a^{2} b \,e^{2}-3 B \,d^{3} a \,b^{2} e +B \,b^{3} d^{4}}{5 \left(e x +d \right)^{5} e^{5}}"," ",0,"-B*b^3/e^5/(e*x+d)-b*(A*a*b*e^2-A*b^2*d*e+B*a^2*e^2-3*B*a*b*d*e+2*B*b^2*d^2)/e^5/(e*x+d)^3-1/4*(3*A*a^2*b*e^3-6*A*a*b^2*d*e^2+3*A*b^3*d^2*e+B*a^3*e^3-6*B*a^2*b*d*e^2+9*B*a*b^2*d^2*e-4*B*b^3*d^3)/e^5/(e*x+d)^4-1/5*(A*a^3*e^4-3*A*a^2*b*d*e^3+3*A*a*b^2*d^2*e^2-A*b^3*d^3*e-B*a^3*d*e^3+3*B*a^2*b*d^2*e^2-3*B*a*b^2*d^3*e+B*b^3*d^4)/e^5/(e*x+d)^5-1/2*b^2*(A*b*e+3*B*a*e-4*B*b*d)/e^5/(e*x+d)^2","B"
1047,1,281,127,0.007000," ","int((b*x+a)^3*(B*x+A)/(e*x+d)^7,x)","-\frac{B \,b^{3}}{2 \left(e x +d \right)^{2} e^{5}}-\frac{\left(A b e +3 B a e -4 B b d \right) b^{2}}{3 \left(e x +d \right)^{3} e^{5}}-\frac{3 \left(A a b \,e^{2}-A d \,b^{2} e +B \,a^{2} e^{2}-3 B d a b e +2 B \,b^{2} d^{2}\right) b}{4 \left(e x +d \right)^{4} e^{5}}-\frac{3 A \,a^{2} b \,e^{3}-6 A d a \,b^{2} e^{2}+3 A \,d^{2} b^{3} e +B \,a^{3} e^{3}-6 B d \,a^{2} b \,e^{2}+9 B \,d^{2} a \,b^{2} e -4 B \,b^{3} d^{3}}{5 \left(e x +d \right)^{5} e^{5}}-\frac{A \,a^{3} e^{4}-3 A d \,a^{2} b \,e^{3}+3 A \,d^{2} a \,b^{2} e^{2}-A \,d^{3} b^{3} e -B d \,a^{3} e^{3}+3 B \,d^{2} a^{2} b \,e^{2}-3 B \,d^{3} a \,b^{2} e +B \,b^{3} d^{4}}{6 \left(e x +d \right)^{6} e^{5}}"," ",0,"-1/3*b^2*(A*b*e+3*B*a*e-4*B*b*d)/e^5/(e*x+d)^3-3/4*b*(A*a*b*e^2-A*b^2*d*e+B*a^2*e^2-3*B*a*b*d*e+2*B*b^2*d^2)/e^5/(e*x+d)^4-1/5*(3*A*a^2*b*e^3-6*A*a*b^2*d*e^2+3*A*b^3*d^2*e+B*a^3*e^3-6*B*a^2*b*d*e^2+9*B*a*b^2*d^2*e-4*B*b^3*d^3)/e^5/(e*x+d)^5-1/2*B*b^3/e^5/(e*x+d)^2-1/6*(A*a^3*e^4-3*A*a^2*b*d*e^3+3*A*a*b^2*d^2*e^2-A*b^3*d^3*e-B*a^3*d*e^3+3*B*a^2*b*d^2*e^2-3*B*a*b^2*d^3*e+B*b^3*d^4)/e^5/(e*x+d)^6","B"
1048,1,281,153,0.006000," ","int((b*x+a)^3*(B*x+A)/(e*x+d)^8,x)","-\frac{B \,b^{3}}{3 \left(e x +d \right)^{3} e^{5}}-\frac{\left(A b e +3 B a e -4 B b d \right) b^{2}}{4 \left(e x +d \right)^{4} e^{5}}-\frac{3 \left(A a b \,e^{2}-A d \,b^{2} e +B \,a^{2} e^{2}-3 B d a b e +2 B \,b^{2} d^{2}\right) b}{5 \left(e x +d \right)^{5} e^{5}}-\frac{3 A \,a^{2} b \,e^{3}-6 A d a \,b^{2} e^{2}+3 A \,d^{2} b^{3} e +B \,a^{3} e^{3}-6 B d \,a^{2} b \,e^{2}+9 B \,d^{2} a \,b^{2} e -4 B \,b^{3} d^{3}}{6 \left(e x +d \right)^{6} e^{5}}-\frac{A \,a^{3} e^{4}-3 A d \,a^{2} b \,e^{3}+3 A \,d^{2} a \,b^{2} e^{2}-A \,d^{3} b^{3} e -B d \,a^{3} e^{3}+3 B \,d^{2} a^{2} b \,e^{2}-3 B \,d^{3} a \,b^{2} e +B \,b^{3} d^{4}}{7 \left(e x +d \right)^{7} e^{5}}"," ",0,"-1/3*b^3*B/e^5/(e*x+d)^3-1/4*b^2*(A*b*e+3*B*a*e-4*B*b*d)/e^5/(e*x+d)^4-3/5*b*(A*a*b*e^2-A*b^2*d*e+B*a^2*e^2-3*B*a*b*d*e+2*B*b^2*d^2)/e^5/(e*x+d)^5-1/6*(3*A*a^2*b*e^3-6*A*a*b^2*d*e^2+3*A*b^3*d^2*e+B*a^3*e^3-6*B*a^2*b*d*e^2+9*B*a*b^2*d^2*e-4*B*b^3*d^3)/e^5/(e*x+d)^6-1/7*(A*a^3*e^4-3*A*a^2*b*d*e^3+3*A*a*b^2*d^2*e^2-A*b^3*d^3*e-B*a^3*d*e^3+3*B*a^2*b*d^2*e^2-3*B*a*b^2*d^3*e+B*b^3*d^4)/e^5/(e*x+d)^7","A"
1049,1,281,153,0.005000," ","int((b*x+a)^3*(B*x+A)/(e*x+d)^9,x)","-\frac{B \,b^{3}}{4 \left(e x +d \right)^{4} e^{5}}-\frac{\left(A b e +3 B a e -4 B b d \right) b^{2}}{5 \left(e x +d \right)^{5} e^{5}}-\frac{\left(A a b \,e^{2}-A d \,b^{2} e +B \,a^{2} e^{2}-3 B d a b e +2 B \,b^{2} d^{2}\right) b}{2 \left(e x +d \right)^{6} e^{5}}-\frac{A \,a^{3} e^{4}-3 A d \,a^{2} b \,e^{3}+3 A \,d^{2} a \,b^{2} e^{2}-A \,d^{3} b^{3} e -B d \,a^{3} e^{3}+3 B \,d^{2} a^{2} b \,e^{2}-3 B \,d^{3} a \,b^{2} e +B \,b^{3} d^{4}}{8 \left(e x +d \right)^{8} e^{5}}-\frac{3 A \,a^{2} b \,e^{3}-6 A d a \,b^{2} e^{2}+3 A \,d^{2} b^{3} e +B \,a^{3} e^{3}-6 B d \,a^{2} b \,e^{2}+9 B \,d^{2} a \,b^{2} e -4 B \,b^{3} d^{3}}{7 \left(e x +d \right)^{7} e^{5}}"," ",0,"-1/4*b^3*B/e^5/(e*x+d)^4-1/5*b^2*(A*b*e+3*B*a*e-4*B*b*d)/e^5/(e*x+d)^5-1/8*(A*a^3*e^4-3*A*a^2*b*d*e^3+3*A*a*b^2*d^2*e^2-A*b^3*d^3*e-B*a^3*d*e^3+3*B*a^2*b*d^2*e^2-3*B*a*b^2*d^3*e+B*b^3*d^4)/e^5/(e*x+d)^8-1/2*b*(A*a*b*e^2-A*b^2*d*e+B*a^2*e^2-3*B*a*b*d*e+2*B*b^2*d^2)/e^5/(e*x+d)^6-1/7*(3*A*a^2*b*e^3-6*A*a*b^2*d*e^2+3*A*b^3*d^2*e+B*a^3*e^3-6*B*a^2*b*d*e^2+9*B*a*b^2*d^2*e-4*B*b^3*d^3)/e^5/(e*x+d)^7","A"
1050,1,281,153,0.007000," ","int((b*x+a)^3*(B*x+A)/(e*x+d)^10,x)","-\frac{B \,b^{3}}{5 \left(e x +d \right)^{5} e^{5}}-\frac{\left(A b e +3 B a e -4 B b d \right) b^{2}}{6 \left(e x +d \right)^{6} e^{5}}-\frac{3 \left(A a b \,e^{2}-A d \,b^{2} e +B \,a^{2} e^{2}-3 B d a b e +2 B \,b^{2} d^{2}\right) b}{7 \left(e x +d \right)^{7} e^{5}}-\frac{3 A \,a^{2} b \,e^{3}-6 A d a \,b^{2} e^{2}+3 A \,d^{2} b^{3} e +B \,a^{3} e^{3}-6 B d \,a^{2} b \,e^{2}+9 B \,d^{2} a \,b^{2} e -4 B \,b^{3} d^{3}}{8 \left(e x +d \right)^{8} e^{5}}-\frac{A \,a^{3} e^{4}-3 A d \,a^{2} b \,e^{3}+3 A \,d^{2} a \,b^{2} e^{2}-A \,d^{3} b^{3} e -B d \,a^{3} e^{3}+3 B \,d^{2} a^{2} b \,e^{2}-3 B \,d^{3} a \,b^{2} e +B \,b^{3} d^{4}}{9 \left(e x +d \right)^{9} e^{5}}"," ",0,"-1/5*b^3*B/e^5/(e*x+d)^5-1/8*(3*A*a^2*b*e^3-6*A*a*b^2*d*e^2+3*A*b^3*d^2*e+B*a^3*e^3-6*B*a^2*b*d*e^2+9*B*a*b^2*d^2*e-4*B*b^3*d^3)/e^5/(e*x+d)^8-1/9*(A*a^3*e^4-3*A*a^2*b*d*e^3+3*A*a*b^2*d^2*e^2-A*b^3*d^3*e-B*a^3*d*e^3+3*B*a^2*b*d^2*e^2-3*B*a*b^2*d^3*e+B*b^3*d^4)/e^5/(e*x+d)^9-1/6*b^2*(A*b*e+3*B*a*e-4*B*b*d)/e^5/(e*x+d)^6-3/7*b*(A*a*b*e^2-A*b^2*d*e+B*a^2*e^2-3*B*a*b*d*e+2*B*b^2*d^2)/e^5/(e*x+d)^7","A"
1051,1,1525,276,0.003000," ","int((b*x+a)^6*(B*x+A)*(e*x+d)^8,x)","\frac{B \,b^{6} e^{8} x^{16}}{16}+A \,a^{6} d^{8} x +\frac{\left(8 B \,b^{6} d \,e^{7}+\left(b^{6} A +6 a \,b^{5} B \right) e^{8}\right) x^{15}}{15}+\frac{\left(28 B \,b^{6} d^{2} e^{6}+8 \left(b^{6} A +6 a \,b^{5} B \right) d \,e^{7}+\left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) e^{8}\right) x^{14}}{14}+\frac{\left(56 B \,b^{6} d^{3} e^{5}+28 \left(b^{6} A +6 a \,b^{5} B \right) d^{2} e^{6}+8 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d \,e^{7}+\left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) e^{8}\right) x^{13}}{13}+\frac{\left(70 B \,b^{6} d^{4} e^{4}+56 \left(b^{6} A +6 a \,b^{5} B \right) d^{3} e^{5}+28 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{2} e^{6}+8 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d \,e^{7}+\left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) e^{8}\right) x^{12}}{12}+\frac{\left(56 B \,b^{6} d^{5} e^{3}+70 \left(b^{6} A +6 a \,b^{5} B \right) d^{4} e^{4}+56 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{3} e^{5}+28 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{2} e^{6}+8 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d \,e^{7}+\left(15 a^{4} b^{2} A +6 a^{5} b B \right) e^{8}\right) x^{11}}{11}+\frac{\left(28 B \,b^{6} d^{6} e^{2}+56 \left(b^{6} A +6 a \,b^{5} B \right) d^{5} e^{3}+70 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{4} e^{4}+56 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{3} e^{5}+28 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{2} e^{6}+8 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d \,e^{7}+\left(6 a^{5} b A +a^{6} B \right) e^{8}\right) x^{10}}{10}+\frac{\left(A \,a^{6} e^{8}+8 B \,b^{6} d^{7} e +28 \left(b^{6} A +6 a \,b^{5} B \right) d^{6} e^{2}+56 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{5} e^{3}+70 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{4} e^{4}+56 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{3} e^{5}+28 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{2} e^{6}+8 \left(6 a^{5} b A +a^{6} B \right) d \,e^{7}\right) x^{9}}{9}+\frac{\left(8 A \,a^{6} d \,e^{7}+B \,b^{6} d^{8}+8 \left(b^{6} A +6 a \,b^{5} B \right) d^{7} e +28 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{6} e^{2}+56 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{5} e^{3}+70 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{4} e^{4}+56 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{3} e^{5}+28 \left(6 a^{5} b A +a^{6} B \right) d^{2} e^{6}\right) x^{8}}{8}+\frac{\left(28 A \,a^{6} d^{2} e^{6}+\left(b^{6} A +6 a \,b^{5} B \right) d^{8}+8 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{7} e +28 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{6} e^{2}+56 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{5} e^{3}+70 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{4} e^{4}+56 \left(6 a^{5} b A +a^{6} B \right) d^{3} e^{5}\right) x^{7}}{7}+\frac{\left(56 A \,a^{6} d^{3} e^{5}+\left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{8}+8 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{7} e +28 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{6} e^{2}+56 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{5} e^{3}+70 \left(6 a^{5} b A +a^{6} B \right) d^{4} e^{4}\right) x^{6}}{6}+\frac{\left(70 A \,a^{6} d^{4} e^{4}+\left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{8}+8 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{7} e +28 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{6} e^{2}+56 \left(6 a^{5} b A +a^{6} B \right) d^{5} e^{3}\right) x^{5}}{5}+\frac{\left(56 A \,a^{6} d^{5} e^{3}+\left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{8}+8 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{7} e +28 \left(6 a^{5} b A +a^{6} B \right) d^{6} e^{2}\right) x^{4}}{4}+\frac{\left(28 A \,a^{6} d^{6} e^{2}+\left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{8}+8 \left(6 a^{5} b A +a^{6} B \right) d^{7} e \right) x^{3}}{3}+\frac{\left(8 A \,a^{6} d^{7} e +\left(6 a^{5} b A +a^{6} B \right) d^{8}\right) x^{2}}{2}"," ",0,"1/16*b^6*B*e^8*x^16+1/15*((A*b^6+6*B*a*b^5)*e^8+8*b^6*B*d*e^7)*x^15+1/14*((6*A*a*b^5+15*B*a^2*b^4)*e^8+8*(A*b^6+6*B*a*b^5)*d*e^7+28*b^6*B*d^2*e^6)*x^14+1/13*((15*A*a^2*b^4+20*B*a^3*b^3)*e^8+8*(6*A*a*b^5+15*B*a^2*b^4)*d*e^7+28*(A*b^6+6*B*a*b^5)*d^2*e^6+56*b^6*B*d^3*e^5)*x^13+1/12*((20*A*a^3*b^3+15*B*a^4*b^2)*e^8+8*(15*A*a^2*b^4+20*B*a^3*b^3)*d*e^7+28*(6*A*a*b^5+15*B*a^2*b^4)*d^2*e^6+56*(A*b^6+6*B*a*b^5)*d^3*e^5+70*b^6*B*d^4*e^4)*x^12+1/11*((15*A*a^4*b^2+6*B*a^5*b)*e^8+8*(20*A*a^3*b^3+15*B*a^4*b^2)*d*e^7+28*(15*A*a^2*b^4+20*B*a^3*b^3)*d^2*e^6+56*(6*A*a*b^5+15*B*a^2*b^4)*d^3*e^5+70*(A*b^6+6*B*a*b^5)*d^4*e^4+56*b^6*B*d^5*e^3)*x^11+1/10*((6*A*a^5*b+B*a^6)*e^8+8*(15*A*a^4*b^2+6*B*a^5*b)*d*e^7+28*(20*A*a^3*b^3+15*B*a^4*b^2)*d^2*e^6+56*(15*A*a^2*b^4+20*B*a^3*b^3)*d^3*e^5+70*(6*A*a*b^5+15*B*a^2*b^4)*d^4*e^4+56*(A*b^6+6*B*a*b^5)*d^5*e^3+28*b^6*B*d^6*e^2)*x^10+1/9*(a^6*A*e^8+8*(6*A*a^5*b+B*a^6)*d*e^7+28*(15*A*a^4*b^2+6*B*a^5*b)*d^2*e^6+56*(20*A*a^3*b^3+15*B*a^4*b^2)*d^3*e^5+70*(15*A*a^2*b^4+20*B*a^3*b^3)*d^4*e^4+56*(6*A*a*b^5+15*B*a^2*b^4)*d^5*e^3+28*(A*b^6+6*B*a*b^5)*d^6*e^2+8*b^6*B*d^7*e)*x^9+1/8*(8*a^6*A*d*e^7+28*(6*A*a^5*b+B*a^6)*d^2*e^6+56*(15*A*a^4*b^2+6*B*a^5*b)*d^3*e^5+70*(20*A*a^3*b^3+15*B*a^4*b^2)*d^4*e^4+56*(15*A*a^2*b^4+20*B*a^3*b^3)*d^5*e^3+28*(6*A*a*b^5+15*B*a^2*b^4)*d^6*e^2+8*(A*b^6+6*B*a*b^5)*d^7*e+b^6*B*d^8)*x^8+1/7*(28*a^6*A*d^2*e^6+56*(6*A*a^5*b+B*a^6)*d^3*e^5+70*(15*A*a^4*b^2+6*B*a^5*b)*d^4*e^4+56*(20*A*a^3*b^3+15*B*a^4*b^2)*d^5*e^3+28*(15*A*a^2*b^4+20*B*a^3*b^3)*d^6*e^2+8*(6*A*a*b^5+15*B*a^2*b^4)*d^7*e+(A*b^6+6*B*a*b^5)*d^8)*x^7+1/6*(56*a^6*A*d^3*e^5+70*(6*A*a^5*b+B*a^6)*d^4*e^4+56*(15*A*a^4*b^2+6*B*a^5*b)*d^5*e^3+28*(20*A*a^3*b^3+15*B*a^4*b^2)*d^6*e^2+8*(15*A*a^2*b^4+20*B*a^3*b^3)*d^7*e+(6*A*a*b^5+15*B*a^2*b^4)*d^8)*x^6+1/5*(70*a^6*A*d^4*e^4+56*(6*A*a^5*b+B*a^6)*d^5*e^3+28*(15*A*a^4*b^2+6*B*a^5*b)*d^6*e^2+8*(20*A*a^3*b^3+15*B*a^4*b^2)*d^7*e+(15*A*a^2*b^4+20*B*a^3*b^3)*d^8)*x^5+1/4*(56*a^6*A*d^5*e^3+28*(6*A*a^5*b+B*a^6)*d^6*e^2+8*(15*A*a^4*b^2+6*B*a^5*b)*d^7*e+(20*A*a^3*b^3+15*B*a^4*b^2)*d^8)*x^4+1/3*(28*a^6*A*d^6*e^2+8*(6*A*a^5*b+B*a^6)*d^7*e+(15*A*a^4*b^2+6*B*a^5*b)*d^8)*x^3+1/2*(8*a^6*A*d^7*e+(6*A*a^5*b+B*a^6)*d^8)*x^2+a^6*A*d^8*x","B"
1052,1,1349,276,0.002000," ","int((b*x+a)^6*(B*x+A)*(e*x+d)^7,x)","\frac{B \,b^{6} e^{7} x^{15}}{15}+A \,a^{6} d^{7} x +\frac{\left(7 B \,b^{6} d \,e^{6}+\left(b^{6} A +6 a \,b^{5} B \right) e^{7}\right) x^{14}}{14}+\frac{\left(21 B \,b^{6} d^{2} e^{5}+7 \left(b^{6} A +6 a \,b^{5} B \right) d \,e^{6}+\left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) e^{7}\right) x^{13}}{13}+\frac{\left(35 B \,b^{6} d^{3} e^{4}+21 \left(b^{6} A +6 a \,b^{5} B \right) d^{2} e^{5}+7 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d \,e^{6}+\left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) e^{7}\right) x^{12}}{12}+\frac{\left(35 B \,b^{6} d^{4} e^{3}+35 \left(b^{6} A +6 a \,b^{5} B \right) d^{3} e^{4}+21 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{2} e^{5}+7 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d \,e^{6}+\left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) e^{7}\right) x^{11}}{11}+\frac{\left(21 B \,b^{6} d^{5} e^{2}+35 \left(b^{6} A +6 a \,b^{5} B \right) d^{4} e^{3}+35 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{3} e^{4}+21 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{2} e^{5}+7 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d \,e^{6}+\left(15 a^{4} b^{2} A +6 a^{5} b B \right) e^{7}\right) x^{10}}{10}+\frac{\left(7 B \,b^{6} d^{6} e +21 \left(b^{6} A +6 a \,b^{5} B \right) d^{5} e^{2}+35 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{4} e^{3}+35 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{3} e^{4}+21 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{2} e^{5}+7 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d \,e^{6}+\left(6 a^{5} b A +a^{6} B \right) e^{7}\right) x^{9}}{9}+\frac{\left(A \,a^{6} e^{7}+B \,b^{6} d^{7}+7 \left(b^{6} A +6 a \,b^{5} B \right) d^{6} e +21 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{5} e^{2}+35 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{4} e^{3}+35 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{3} e^{4}+21 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{2} e^{5}+7 \left(6 a^{5} b A +a^{6} B \right) d \,e^{6}\right) x^{8}}{8}+\frac{\left(7 A \,a^{6} d \,e^{6}+\left(b^{6} A +6 a \,b^{5} B \right) d^{7}+7 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{6} e +21 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{5} e^{2}+35 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{4} e^{3}+35 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{3} e^{4}+21 \left(6 a^{5} b A +a^{6} B \right) d^{2} e^{5}\right) x^{7}}{7}+\frac{\left(21 A \,a^{6} d^{2} e^{5}+\left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{7}+7 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{6} e +21 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{5} e^{2}+35 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{4} e^{3}+35 \left(6 a^{5} b A +a^{6} B \right) d^{3} e^{4}\right) x^{6}}{6}+\frac{\left(35 A \,a^{6} d^{3} e^{4}+\left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{7}+7 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{6} e +21 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{5} e^{2}+35 \left(6 a^{5} b A +a^{6} B \right) d^{4} e^{3}\right) x^{5}}{5}+\frac{\left(35 A \,a^{6} d^{4} e^{3}+\left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{7}+7 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{6} e +21 \left(6 a^{5} b A +a^{6} B \right) d^{5} e^{2}\right) x^{4}}{4}+\frac{\left(21 A \,a^{6} d^{5} e^{2}+\left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{7}+7 \left(6 a^{5} b A +a^{6} B \right) d^{6} e \right) x^{3}}{3}+\frac{\left(7 A \,a^{6} d^{6} e +\left(6 a^{5} b A +a^{6} B \right) d^{7}\right) x^{2}}{2}"," ",0,"1/15*b^6*B*e^7*x^15+1/14*((A*b^6+6*B*a*b^5)*e^7+7*b^6*B*d*e^6)*x^14+1/13*((6*A*a*b^5+15*B*a^2*b^4)*e^7+7*(A*b^6+6*B*a*b^5)*d*e^6+21*b^6*B*d^2*e^5)*x^13+1/12*((15*A*a^2*b^4+20*B*a^3*b^3)*e^7+7*(6*A*a*b^5+15*B*a^2*b^4)*d*e^6+21*(A*b^6+6*B*a*b^5)*d^2*e^5+35*b^6*B*d^3*e^4)*x^12+1/11*((20*A*a^3*b^3+15*B*a^4*b^2)*e^7+7*(15*A*a^2*b^4+20*B*a^3*b^3)*d*e^6+21*(6*A*a*b^5+15*B*a^2*b^4)*d^2*e^5+35*(A*b^6+6*B*a*b^5)*d^3*e^4+35*b^6*B*d^4*e^3)*x^11+1/10*((15*A*a^4*b^2+6*B*a^5*b)*e^7+7*(20*A*a^3*b^3+15*B*a^4*b^2)*d*e^6+21*(15*A*a^2*b^4+20*B*a^3*b^3)*d^2*e^5+35*(6*A*a*b^5+15*B*a^2*b^4)*d^3*e^4+35*(A*b^6+6*B*a*b^5)*d^4*e^3+21*b^6*B*d^5*e^2)*x^10+1/9*((6*A*a^5*b+B*a^6)*e^7+7*(15*A*a^4*b^2+6*B*a^5*b)*d*e^6+21*(20*A*a^3*b^3+15*B*a^4*b^2)*d^2*e^5+35*(15*A*a^2*b^4+20*B*a^3*b^3)*d^3*e^4+35*(6*A*a*b^5+15*B*a^2*b^4)*d^4*e^3+21*(A*b^6+6*B*a*b^5)*d^5*e^2+7*b^6*B*d^6*e)*x^9+1/8*(a^6*A*e^7+7*(6*A*a^5*b+B*a^6)*d*e^6+21*(15*A*a^4*b^2+6*B*a^5*b)*d^2*e^5+35*(20*A*a^3*b^3+15*B*a^4*b^2)*d^3*e^4+35*(15*A*a^2*b^4+20*B*a^3*b^3)*d^4*e^3+21*(6*A*a*b^5+15*B*a^2*b^4)*d^5*e^2+7*(A*b^6+6*B*a*b^5)*d^6*e+b^6*B*d^7)*x^8+1/7*(7*a^6*A*d*e^6+21*(6*A*a^5*b+B*a^6)*d^2*e^5+35*(15*A*a^4*b^2+6*B*a^5*b)*d^3*e^4+35*(20*A*a^3*b^3+15*B*a^4*b^2)*d^4*e^3+21*(15*A*a^2*b^4+20*B*a^3*b^3)*d^5*e^2+7*(6*A*a*b^5+15*B*a^2*b^4)*d^6*e+(A*b^6+6*B*a*b^5)*d^7)*x^7+1/6*(21*a^6*A*d^2*e^5+35*(6*A*a^5*b+B*a^6)*d^3*e^4+35*(15*A*a^4*b^2+6*B*a^5*b)*d^4*e^3+21*(20*A*a^3*b^3+15*B*a^4*b^2)*d^5*e^2+7*(15*A*a^2*b^4+20*B*a^3*b^3)*d^6*e+(6*A*a*b^5+15*B*a^2*b^4)*d^7)*x^6+1/5*(35*a^6*A*d^3*e^4+35*(6*A*a^5*b+B*a^6)*d^4*e^3+21*(15*A*a^4*b^2+6*B*a^5*b)*d^5*e^2+7*(20*A*a^3*b^3+15*B*a^4*b^2)*d^6*e+(15*A*a^2*b^4+20*B*a^3*b^3)*d^7)*x^5+1/4*(35*a^6*A*d^4*e^3+21*(6*A*a^5*b+B*a^6)*d^5*e^2+7*(15*A*a^4*b^2+6*B*a^5*b)*d^6*e+(20*A*a^3*b^3+15*B*a^4*b^2)*d^7)*x^4+1/3*(21*a^6*A*d^5*e^2+7*(6*A*a^5*b+B*a^6)*d^6*e+(15*A*a^4*b^2+6*B*a^5*b)*d^7)*x^3+1/2*(7*a^6*A*d^6*e+(6*A*a^5*b+B*a^6)*d^7)*x^2+a^6*A*d^7*x","B"
1053,1,1173,274,0.002000," ","int((b*x+a)^6*(B*x+A)*(e*x+d)^6,x)","\frac{B \,b^{6} e^{6} x^{14}}{14}+A \,a^{6} d^{6} x +\frac{\left(6 B \,b^{6} d \,e^{5}+\left(b^{6} A +6 a \,b^{5} B \right) e^{6}\right) x^{13}}{13}+\frac{\left(15 B \,b^{6} d^{2} e^{4}+6 \left(b^{6} A +6 a \,b^{5} B \right) d \,e^{5}+\left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) e^{6}\right) x^{12}}{12}+\frac{\left(20 B \,b^{6} d^{3} e^{3}+15 \left(b^{6} A +6 a \,b^{5} B \right) d^{2} e^{4}+6 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d \,e^{5}+\left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) e^{6}\right) x^{11}}{11}+\frac{\left(15 B \,b^{6} d^{4} e^{2}+20 \left(b^{6} A +6 a \,b^{5} B \right) d^{3} e^{3}+15 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{2} e^{4}+6 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d \,e^{5}+\left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) e^{6}\right) x^{10}}{10}+\frac{\left(6 B \,b^{6} d^{5} e +15 \left(b^{6} A +6 a \,b^{5} B \right) d^{4} e^{2}+20 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{3} e^{3}+15 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{2} e^{4}+6 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d \,e^{5}+\left(15 a^{4} b^{2} A +6 a^{5} b B \right) e^{6}\right) x^{9}}{9}+\frac{\left(B \,b^{6} d^{6}+6 \left(b^{6} A +6 a \,b^{5} B \right) d^{5} e +15 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{4} e^{2}+20 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{3} e^{3}+15 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{2} e^{4}+6 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d \,e^{5}+\left(6 a^{5} b A +a^{6} B \right) e^{6}\right) x^{8}}{8}+\frac{\left(A \,a^{6} e^{6}+\left(b^{6} A +6 a \,b^{5} B \right) d^{6}+6 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{5} e +15 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{4} e^{2}+20 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{3} e^{3}+15 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{2} e^{4}+6 \left(6 a^{5} b A +a^{6} B \right) d \,e^{5}\right) x^{7}}{7}+\frac{\left(6 A \,a^{6} d \,e^{5}+\left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{6}+6 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{5} e +15 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{4} e^{2}+20 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{3} e^{3}+15 \left(6 a^{5} b A +a^{6} B \right) d^{2} e^{4}\right) x^{6}}{6}+\frac{\left(15 A \,a^{6} d^{2} e^{4}+\left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{6}+6 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{5} e +15 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{4} e^{2}+20 \left(6 a^{5} b A +a^{6} B \right) d^{3} e^{3}\right) x^{5}}{5}+\frac{\left(20 A \,a^{6} d^{3} e^{3}+\left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{6}+6 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{5} e +15 \left(6 a^{5} b A +a^{6} B \right) d^{4} e^{2}\right) x^{4}}{4}+\frac{\left(15 A \,a^{6} d^{4} e^{2}+\left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{6}+6 \left(6 a^{5} b A +a^{6} B \right) d^{5} e \right) x^{3}}{3}+\frac{\left(6 A \,a^{6} d^{5} e +\left(6 a^{5} b A +a^{6} B \right) d^{6}\right) x^{2}}{2}"," ",0,"1/14*b^6*B*e^6*x^14+1/13*((A*b^6+6*B*a*b^5)*e^6+6*b^6*B*d*e^5)*x^13+1/12*((6*A*a*b^5+15*B*a^2*b^4)*e^6+6*(A*b^6+6*B*a*b^5)*d*e^5+15*b^6*B*d^2*e^4)*x^12+1/11*((15*A*a^2*b^4+20*B*a^3*b^3)*e^6+6*(6*A*a*b^5+15*B*a^2*b^4)*d*e^5+15*(A*b^6+6*B*a*b^5)*d^2*e^4+20*b^6*B*d^3*e^3)*x^11+1/10*((20*A*a^3*b^3+15*B*a^4*b^2)*e^6+6*(15*A*a^2*b^4+20*B*a^3*b^3)*d*e^5+15*(6*A*a*b^5+15*B*a^2*b^4)*d^2*e^4+20*(A*b^6+6*B*a*b^5)*d^3*e^3+15*b^6*B*d^4*e^2)*x^10+1/9*((15*A*a^4*b^2+6*B*a^5*b)*e^6+6*(20*A*a^3*b^3+15*B*a^4*b^2)*d*e^5+15*(15*A*a^2*b^4+20*B*a^3*b^3)*d^2*e^4+20*(6*A*a*b^5+15*B*a^2*b^4)*d^3*e^3+15*(A*b^6+6*B*a*b^5)*d^4*e^2+6*b^6*B*d^5*e)*x^9+1/8*((6*A*a^5*b+B*a^6)*e^6+6*(15*A*a^4*b^2+6*B*a^5*b)*d*e^5+15*(20*A*a^3*b^3+15*B*a^4*b^2)*d^2*e^4+20*(15*A*a^2*b^4+20*B*a^3*b^3)*d^3*e^3+15*(6*A*a*b^5+15*B*a^2*b^4)*d^4*e^2+6*(A*b^6+6*B*a*b^5)*d^5*e+b^6*B*d^6)*x^8+1/7*(a^6*A*e^6+6*(6*A*a^5*b+B*a^6)*d*e^5+15*(15*A*a^4*b^2+6*B*a^5*b)*d^2*e^4+20*(20*A*a^3*b^3+15*B*a^4*b^2)*d^3*e^3+15*(15*A*a^2*b^4+20*B*a^3*b^3)*d^4*e^2+6*(6*A*a*b^5+15*B*a^2*b^4)*d^5*e+(A*b^6+6*B*a*b^5)*d^6)*x^7+1/6*(6*a^6*A*d*e^5+15*(6*A*a^5*b+B*a^6)*d^2*e^4+20*(15*A*a^4*b^2+6*B*a^5*b)*d^3*e^3+15*(20*A*a^3*b^3+15*B*a^4*b^2)*d^4*e^2+6*(15*A*a^2*b^4+20*B*a^3*b^3)*d^5*e+(6*A*a*b^5+15*B*a^2*b^4)*d^6)*x^6+1/5*(15*a^6*A*d^2*e^4+20*(6*A*a^5*b+B*a^6)*d^3*e^3+15*(15*A*a^4*b^2+6*B*a^5*b)*d^4*e^2+6*(20*A*a^3*b^3+15*B*a^4*b^2)*d^5*e+(15*A*a^2*b^4+20*B*a^3*b^3)*d^6)*x^5+1/4*(20*a^6*A*d^3*e^3+15*(6*A*a^5*b+B*a^6)*d^4*e^2+6*(15*A*a^4*b^2+6*B*a^5*b)*d^5*e+(20*A*a^3*b^3+15*B*a^4*b^2)*d^6)*x^4+1/3*(15*a^6*A*d^4*e^2+6*(6*A*a^5*b+B*a^6)*d^5*e+(15*A*a^4*b^2+6*B*a^5*b)*d^6)*x^3+1/2*(6*a^6*A*d^5*e+(6*A*a^5*b+B*a^6)*d^6)*x^2+a^6*A*d^6*x","B"
1054,1,997,228,0.001000," ","int((b*x+a)^6*(B*x+A)*(e*x+d)^5,x)","\frac{B \,b^{6} e^{5} x^{13}}{13}+A \,a^{6} d^{5} x +\frac{\left(5 B \,b^{6} d \,e^{4}+\left(b^{6} A +6 a \,b^{5} B \right) e^{5}\right) x^{12}}{12}+\frac{\left(10 B \,b^{6} d^{2} e^{3}+5 \left(b^{6} A +6 a \,b^{5} B \right) d \,e^{4}+\left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) e^{5}\right) x^{11}}{11}+\frac{\left(10 B \,b^{6} d^{3} e^{2}+10 \left(b^{6} A +6 a \,b^{5} B \right) d^{2} e^{3}+5 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d \,e^{4}+\left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) e^{5}\right) x^{10}}{10}+\frac{\left(5 B \,b^{6} d^{4} e +10 \left(b^{6} A +6 a \,b^{5} B \right) d^{3} e^{2}+10 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{2} e^{3}+5 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d \,e^{4}+\left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) e^{5}\right) x^{9}}{9}+\frac{\left(B \,b^{6} d^{5}+5 \left(b^{6} A +6 a \,b^{5} B \right) d^{4} e +10 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{3} e^{2}+10 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{2} e^{3}+5 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d \,e^{4}+\left(15 a^{4} b^{2} A +6 a^{5} b B \right) e^{5}\right) x^{8}}{8}+\frac{\left(\left(b^{6} A +6 a \,b^{5} B \right) d^{5}+5 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{4} e +10 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{3} e^{2}+10 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{2} e^{3}+5 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d \,e^{4}+\left(6 a^{5} b A +a^{6} B \right) e^{5}\right) x^{7}}{7}+\frac{\left(A \,a^{6} e^{5}+\left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{5}+5 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{4} e +10 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{3} e^{2}+10 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{2} e^{3}+5 \left(6 a^{5} b A +a^{6} B \right) d \,e^{4}\right) x^{6}}{6}+\frac{\left(5 A \,a^{6} d \,e^{4}+\left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{5}+5 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{4} e +10 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{3} e^{2}+10 \left(6 a^{5} b A +a^{6} B \right) d^{2} e^{3}\right) x^{5}}{5}+\frac{\left(10 A \,a^{6} d^{2} e^{3}+\left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{5}+5 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{4} e +10 \left(6 a^{5} b A +a^{6} B \right) d^{3} e^{2}\right) x^{4}}{4}+\frac{\left(10 A \,a^{6} d^{3} e^{2}+\left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{5}+5 \left(6 a^{5} b A +a^{6} B \right) d^{4} e \right) x^{3}}{3}+\frac{\left(5 A \,a^{6} d^{4} e +\left(6 a^{5} b A +a^{6} B \right) d^{5}\right) x^{2}}{2}"," ",0,"1/13*b^6*B*e^5*x^13+1/12*((A*b^6+6*B*a*b^5)*e^5+5*b^6*B*d*e^4)*x^12+1/11*((6*A*a*b^5+15*B*a^2*b^4)*e^5+5*(A*b^6+6*B*a*b^5)*d*e^4+10*b^6*B*d^2*e^3)*x^11+1/10*((15*A*a^2*b^4+20*B*a^3*b^3)*e^5+5*(6*A*a*b^5+15*B*a^2*b^4)*d*e^4+10*(A*b^6+6*B*a*b^5)*d^2*e^3+10*b^6*B*d^3*e^2)*x^10+1/9*((20*A*a^3*b^3+15*B*a^4*b^2)*e^5+5*(15*A*a^2*b^4+20*B*a^3*b^3)*d*e^4+10*(6*A*a*b^5+15*B*a^2*b^4)*d^2*e^3+10*(A*b^6+6*B*a*b^5)*d^3*e^2+5*b^6*B*d^4*e)*x^9+1/8*((15*A*a^4*b^2+6*B*a^5*b)*e^5+5*(20*A*a^3*b^3+15*B*a^4*b^2)*d*e^4+10*(15*A*a^2*b^4+20*B*a^3*b^3)*d^2*e^3+10*(6*A*a*b^5+15*B*a^2*b^4)*d^3*e^2+5*(A*b^6+6*B*a*b^5)*d^4*e+b^6*B*d^5)*x^8+1/7*((6*A*a^5*b+B*a^6)*e^5+5*(15*A*a^4*b^2+6*B*a^5*b)*d*e^4+10*(20*A*a^3*b^3+15*B*a^4*b^2)*d^2*e^3+10*(15*A*a^2*b^4+20*B*a^3*b^3)*d^3*e^2+5*(6*A*a*b^5+15*B*a^2*b^4)*d^4*e+(A*b^6+6*B*a*b^5)*d^5)*x^7+1/6*(a^6*A*e^5+5*(6*A*a^5*b+B*a^6)*d*e^4+10*(15*A*a^4*b^2+6*B*a^5*b)*d^2*e^3+10*(20*A*a^3*b^3+15*B*a^4*b^2)*d^3*e^2+5*(15*A*a^2*b^4+20*B*a^3*b^3)*d^4*e+(6*A*a*b^5+15*B*a^2*b^4)*d^5)*x^6+1/5*(5*a^6*A*d*e^4+10*(6*A*a^5*b+B*a^6)*d^2*e^3+10*(15*A*a^4*b^2+6*B*a^5*b)*d^3*e^2+5*(20*A*a^3*b^3+15*B*a^4*b^2)*d^4*e+(15*A*a^2*b^4+20*B*a^3*b^3)*d^5)*x^5+1/4*(10*a^6*A*d^2*e^3+10*(6*A*a^5*b+B*a^6)*d^3*e^2+5*(15*A*a^4*b^2+6*B*a^5*b)*d^4*e+(20*A*a^3*b^3+15*B*a^4*b^2)*d^5)*x^4+1/3*(10*a^6*A*d^3*e^2+5*(6*A*a^5*b+B*a^6)*d^4*e+(15*A*a^4*b^2+6*B*a^5*b)*d^5)*x^3+1/2*(5*a^6*A*d^4*e+(6*A*a^5*b+B*a^6)*d^5)*x^2+a^6*A*d^5*x","B"
1055,1,821,192,0.001000," ","int((b*x+a)^6*(B*x+A)*(e*x+d)^4,x)","\frac{B \,b^{6} e^{4} x^{12}}{12}+A \,a^{6} d^{4} x +\frac{\left(4 B \,b^{6} d \,e^{3}+\left(b^{6} A +6 a \,b^{5} B \right) e^{4}\right) x^{11}}{11}+\frac{\left(6 B \,b^{6} d^{2} e^{2}+4 \left(b^{6} A +6 a \,b^{5} B \right) d \,e^{3}+\left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) e^{4}\right) x^{10}}{10}+\frac{\left(4 B \,b^{6} d^{3} e +6 \left(b^{6} A +6 a \,b^{5} B \right) d^{2} e^{2}+4 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d \,e^{3}+\left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) e^{4}\right) x^{9}}{9}+\frac{\left(B \,b^{6} d^{4}+4 \left(b^{6} A +6 a \,b^{5} B \right) d^{3} e +6 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{2} e^{2}+4 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d \,e^{3}+\left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) e^{4}\right) x^{8}}{8}+\frac{\left(\left(b^{6} A +6 a \,b^{5} B \right) d^{4}+4 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{3} e +6 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{2} e^{2}+4 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d \,e^{3}+\left(15 a^{4} b^{2} A +6 a^{5} b B \right) e^{4}\right) x^{7}}{7}+\frac{\left(\left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{4}+4 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{3} e +6 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{2} e^{2}+4 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d \,e^{3}+\left(6 a^{5} b A +a^{6} B \right) e^{4}\right) x^{6}}{6}+\frac{\left(A \,a^{6} e^{4}+\left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{4}+4 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{3} e +6 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{2} e^{2}+4 \left(6 a^{5} b A +a^{6} B \right) d \,e^{3}\right) x^{5}}{5}+\frac{\left(4 A \,a^{6} d \,e^{3}+\left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{4}+4 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{3} e +6 \left(6 a^{5} b A +a^{6} B \right) d^{2} e^{2}\right) x^{4}}{4}+\frac{\left(6 A \,a^{6} d^{2} e^{2}+\left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{4}+4 \left(6 a^{5} b A +a^{6} B \right) d^{3} e \right) x^{3}}{3}+\frac{\left(4 A \,a^{6} d^{3} e +\left(6 a^{5} b A +a^{6} B \right) d^{4}\right) x^{2}}{2}"," ",0,"1/12*b^6*B*e^4*x^12+1/11*((A*b^6+6*B*a*b^5)*e^4+4*b^6*B*d*e^3)*x^11+1/10*((6*A*a*b^5+15*B*a^2*b^4)*e^4+4*(A*b^6+6*B*a*b^5)*d*e^3+6*b^6*B*d^2*e^2)*x^10+1/9*((15*A*a^2*b^4+20*B*a^3*b^3)*e^4+4*(6*A*a*b^5+15*B*a^2*b^4)*d*e^3+6*(A*b^6+6*B*a*b^5)*d^2*e^2+4*b^6*B*d^3*e)*x^9+1/8*((20*A*a^3*b^3+15*B*a^4*b^2)*e^4+4*(15*A*a^2*b^4+20*B*a^3*b^3)*d*e^3+6*(6*A*a*b^5+15*B*a^2*b^4)*d^2*e^2+4*(A*b^6+6*B*a*b^5)*d^3*e+b^6*B*d^4)*x^8+1/7*((15*A*a^4*b^2+6*B*a^5*b)*e^4+4*(20*A*a^3*b^3+15*B*a^4*b^2)*d*e^3+6*(15*A*a^2*b^4+20*B*a^3*b^3)*d^2*e^2+4*(6*A*a*b^5+15*B*a^2*b^4)*d^3*e+(A*b^6+6*B*a*b^5)*d^4)*x^7+1/6*((6*A*a^5*b+B*a^6)*e^4+4*(15*A*a^4*b^2+6*B*a^5*b)*d*e^3+6*(20*A*a^3*b^3+15*B*a^4*b^2)*d^2*e^2+4*(15*A*a^2*b^4+20*B*a^3*b^3)*d^3*e+(6*A*a*b^5+15*B*a^2*b^4)*d^4)*x^6+1/5*(a^6*A*e^4+4*(6*A*a^5*b+B*a^6)*d*e^3+6*(15*A*a^4*b^2+6*B*a^5*b)*d^2*e^2+4*(20*A*a^3*b^3+15*B*a^4*b^2)*d^3*e+(15*A*a^2*b^4+20*B*a^3*b^3)*d^4)*x^5+1/4*(4*a^6*A*d*e^3+6*(6*A*a^5*b+B*a^6)*d^2*e^2+4*(15*A*a^4*b^2+6*B*a^5*b)*d^3*e+(20*A*a^3*b^3+15*B*a^4*b^2)*d^4)*x^4+1/3*(6*a^6*A*d^2*e^2+4*(6*A*a^5*b+B*a^6)*d^3*e+(15*A*a^4*b^2+6*B*a^5*b)*d^4)*x^3+1/2*(4*a^6*A*d^3*e+(6*A*a^5*b+B*a^6)*d^4)*x^2+a^6*A*d^4*x","B"
1056,1,645,149,0.002000," ","int((b*x+a)^6*(B*x+A)*(e*x+d)^3,x)","\frac{B \,b^{6} e^{3} x^{11}}{11}+A \,a^{6} d^{3} x +\frac{\left(3 B \,b^{6} d \,e^{2}+\left(b^{6} A +6 a \,b^{5} B \right) e^{3}\right) x^{10}}{10}+\frac{\left(3 B \,b^{6} d^{2} e +3 \left(b^{6} A +6 a \,b^{5} B \right) d \,e^{2}+\left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) e^{3}\right) x^{9}}{9}+\frac{\left(B \,b^{6} d^{3}+3 \left(b^{6} A +6 a \,b^{5} B \right) d^{2} e +3 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d \,e^{2}+\left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) e^{3}\right) x^{8}}{8}+\frac{\left(\left(b^{6} A +6 a \,b^{5} B \right) d^{3}+3 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{2} e +3 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d \,e^{2}+\left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) e^{3}\right) x^{7}}{7}+\frac{\left(\left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{3}+3 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{2} e +3 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d \,e^{2}+\left(15 a^{4} b^{2} A +6 a^{5} b B \right) e^{3}\right) x^{6}}{6}+\frac{\left(\left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{3}+3 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{2} e +3 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d \,e^{2}+\left(6 a^{5} b A +a^{6} B \right) e^{3}\right) x^{5}}{5}+\frac{\left(A \,a^{6} e^{3}+\left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{3}+3 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{2} e +3 \left(6 a^{5} b A +a^{6} B \right) d \,e^{2}\right) x^{4}}{4}+\frac{\left(3 A \,a^{6} d \,e^{2}+\left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{3}+3 \left(6 a^{5} b A +a^{6} B \right) d^{2} e \right) x^{3}}{3}+\frac{\left(3 A \,a^{6} d^{2} e +\left(6 a^{5} b A +a^{6} B \right) d^{3}\right) x^{2}}{2}"," ",0,"1/11*b^6*B*e^3*x^11+1/10*((A*b^6+6*B*a*b^5)*e^3+3*b^6*B*d*e^2)*x^10+1/9*((6*A*a*b^5+15*B*a^2*b^4)*e^3+3*(A*b^6+6*B*a*b^5)*d*e^2+3*b^6*B*d^2*e)*x^9+1/8*((15*A*a^2*b^4+20*B*a^3*b^3)*e^3+3*(6*A*a*b^5+15*B*a^2*b^4)*d*e^2+3*(A*b^6+6*B*a*b^5)*d^2*e+b^6*B*d^3)*x^8+1/7*((20*A*a^3*b^3+15*B*a^4*b^2)*e^3+3*(15*A*a^2*b^4+20*B*a^3*b^3)*d*e^2+3*(6*A*a*b^5+15*B*a^2*b^4)*d^2*e+(A*b^6+6*B*a*b^5)*d^3)*x^7+1/6*((15*A*a^4*b^2+6*B*a^5*b)*e^3+3*(20*A*a^3*b^3+15*B*a^4*b^2)*d*e^2+3*(15*A*a^2*b^4+20*B*a^3*b^3)*d^2*e+(6*A*a*b^5+15*B*a^2*b^4)*d^3)*x^6+1/5*((6*A*a^5*b+B*a^6)*e^3+3*(15*A*a^4*b^2+6*B*a^5*b)*d*e^2+3*(20*A*a^3*b^3+15*B*a^4*b^2)*d^2*e+(15*A*a^2*b^4+20*B*a^3*b^3)*d^3)*x^5+1/4*(a^6*A*e^3+3*(6*A*a^5*b+B*a^6)*d*e^2+3*(15*A*a^4*b^2+6*B*a^5*b)*d^2*e+(20*A*a^3*b^3+15*B*a^4*b^2)*d^3)*x^4+1/3*(3*a^6*A*d*e^2+3*(6*A*a^5*b+B*a^6)*d^2*e+(15*A*a^4*b^2+6*B*a^5*b)*d^3)*x^3+1/2*(3*a^6*A*d^2*e+(6*A*a^5*b+B*a^6)*d^3)*x^2+a^6*A*d^3*x","B"
1057,1,469,110,0.002000," ","int((b*x+a)^6*(B*x+A)*(e*x+d)^2,x)","\frac{B \,b^{6} e^{2} x^{10}}{10}+A \,a^{6} d^{2} x +\frac{\left(2 B \,b^{6} d e +\left(b^{6} A +6 a \,b^{5} B \right) e^{2}\right) x^{9}}{9}+\frac{\left(B \,b^{6} d^{2}+2 \left(b^{6} A +6 a \,b^{5} B \right) d e +\left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) e^{2}\right) x^{8}}{8}+\frac{\left(\left(b^{6} A +6 a \,b^{5} B \right) d^{2}+2 \left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d e +\left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) e^{2}\right) x^{7}}{7}+\frac{\left(\left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d^{2}+2 \left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d e +\left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) e^{2}\right) x^{6}}{6}+\frac{\left(\left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d^{2}+2 \left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d e +\left(15 a^{4} b^{2} A +6 a^{5} b B \right) e^{2}\right) x^{5}}{5}+\frac{\left(\left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d^{2}+2 \left(15 a^{4} b^{2} A +6 a^{5} b B \right) d e +\left(6 a^{5} b A +a^{6} B \right) e^{2}\right) x^{4}}{4}+\frac{\left(A \,a^{6} e^{2}+\left(15 a^{4} b^{2} A +6 a^{5} b B \right) d^{2}+2 \left(6 a^{5} b A +a^{6} B \right) d e \right) x^{3}}{3}+\frac{\left(2 A \,a^{6} d e +\left(6 a^{5} b A +a^{6} B \right) d^{2}\right) x^{2}}{2}"," ",0,"1/10*b^6*B*e^2*x^10+1/9*((A*b^6+6*B*a*b^5)*e^2+2*b^6*B*d*e)*x^9+1/8*((6*A*a*b^5+15*B*a^2*b^4)*e^2+2*(A*b^6+6*B*a*b^5)*d*e+b^6*B*d^2)*x^8+1/7*((15*A*a^2*b^4+20*B*a^3*b^3)*e^2+2*(6*A*a*b^5+15*B*a^2*b^4)*d*e+(A*b^6+6*B*a*b^5)*d^2)*x^7+1/6*((20*A*a^3*b^3+15*B*a^4*b^2)*e^2+2*(15*A*a^2*b^4+20*B*a^3*b^3)*d*e+(6*A*a*b^5+15*B*a^2*b^4)*d^2)*x^6+1/5*((15*A*a^4*b^2+6*B*a^5*b)*e^2+2*(20*A*a^3*b^3+15*B*a^4*b^2)*d*e+(15*A*a^2*b^4+20*B*a^3*b^3)*d^2)*x^5+1/4*((6*A*a^5*b+B*a^6)*e^2+2*(15*A*a^4*b^2+6*B*a^5*b)*d*e+(20*A*a^3*b^3+15*B*a^4*b^2)*d^2)*x^4+1/3*(a^6*A*e^2+2*(6*A*a^5*b+B*a^6)*d*e+(15*A*a^4*b^2+6*B*a^5*b)*d^2)*x^3+1/2*(2*a^6*A*d*e+(6*A*a^5*b+B*a^6)*d^2)*x^2+a^6*A*d^2*x","B"
1058,1,293,69,0.000000," ","int((b*x+a)^6*(B*x+A)*(e*x+d),x)","\frac{B \,b^{6} e \,x^{9}}{9}+A \,a^{6} d x +\frac{\left(B \,b^{6} d +\left(b^{6} A +6 a \,b^{5} B \right) e \right) x^{8}}{8}+\frac{\left(\left(b^{6} A +6 a \,b^{5} B \right) d +\left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) e \right) x^{7}}{7}+\frac{\left(\left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) d +\left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) e \right) x^{6}}{6}+\frac{\left(\left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) d +\left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) e \right) x^{5}}{5}+\frac{\left(\left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) d +\left(15 a^{4} b^{2} A +6 a^{5} b B \right) e \right) x^{4}}{4}+\frac{\left(\left(15 a^{4} b^{2} A +6 a^{5} b B \right) d +\left(6 a^{5} b A +a^{6} B \right) e \right) x^{3}}{3}+\frac{\left(A \,a^{6} e +\left(6 a^{5} b A +a^{6} B \right) d \right) x^{2}}{2}"," ",0,"1/9*b^6*B*e*x^9+1/8*((A*b^6+6*B*a*b^5)*e+b^6*B*d)*x^8+1/7*((6*A*a*b^5+15*B*a^2*b^4)*e+(A*b^6+6*B*a*b^5)*d)*x^7+1/6*((15*A*a^2*b^4+20*B*a^3*b^3)*e+(6*A*a*b^5+15*B*a^2*b^4)*d)*x^6+1/5*((20*A*a^3*b^3+15*B*a^4*b^2)*e+(15*A*a^2*b^4+20*B*a^3*b^3)*d)*x^5+1/4*((15*A*a^4*b^2+6*B*a^5*b)*e+(20*A*a^3*b^3+15*B*a^4*b^2)*d)*x^4+1/3*((6*A*a^5*b+B*a^6)*e+(15*A*a^4*b^2+6*B*a^5*b)*d)*x^3+1/2*(a^6*A*e+(6*A*a^5*b+B*a^6)*d)*x^2+a^6*A*d*x","B"
1059,1,145,34,0.001000," ","int((b*x+a)^6*(B*x+A),x)","\frac{B \,b^{6} x^{8}}{8}+A \,a^{6} x +\frac{\left(b^{6} A +6 a \,b^{5} B \right) x^{7}}{7}+\frac{\left(6 a \,b^{5} A +15 a^{2} b^{4} B \right) x^{6}}{6}+\frac{\left(15 a^{2} b^{4} A +20 a^{3} b^{3} B \right) x^{5}}{5}+\frac{\left(20 a^{3} b^{3} A +15 a^{4} b^{2} B \right) x^{4}}{4}+\frac{\left(15 a^{4} b^{2} A +6 a^{5} b B \right) x^{3}}{3}+\frac{\left(6 a^{5} b A +a^{6} B \right) x^{2}}{2}"," ",0,"1/8*b^6*B*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^6*A*x","B"
1060,1,989,208,0.010000," ","int((b*x+a)^6*(B*x+A)/(e*x+d),x)","\frac{B \,b^{6} x^{7}}{7 e}+\frac{A \,b^{6} x^{6}}{6 e}+\frac{B a \,b^{5} x^{6}}{e}-\frac{B \,b^{6} d \,x^{6}}{6 e^{2}}+\frac{6 A a \,b^{5} x^{5}}{5 e}-\frac{A \,b^{6} d \,x^{5}}{5 e^{2}}+\frac{3 B \,a^{2} b^{4} x^{5}}{e}-\frac{6 B a \,b^{5} d \,x^{5}}{5 e^{2}}+\frac{B \,b^{6} d^{2} x^{5}}{5 e^{3}}+\frac{15 A \,a^{2} b^{4} x^{4}}{4 e}-\frac{3 A a \,b^{5} d \,x^{4}}{2 e^{2}}+\frac{A \,b^{6} d^{2} x^{4}}{4 e^{3}}+\frac{5 B \,a^{3} b^{3} x^{4}}{e}-\frac{15 B \,a^{2} b^{4} d \,x^{4}}{4 e^{2}}+\frac{3 B a \,b^{5} d^{2} x^{4}}{2 e^{3}}-\frac{B \,b^{6} d^{3} x^{4}}{4 e^{4}}+\frac{20 A \,a^{3} b^{3} x^{3}}{3 e}-\frac{5 A \,a^{2} b^{4} d \,x^{3}}{e^{2}}+\frac{2 A a \,b^{5} d^{2} x^{3}}{e^{3}}-\frac{A \,b^{6} d^{3} x^{3}}{3 e^{4}}+\frac{5 B \,a^{4} b^{2} x^{3}}{e}-\frac{20 B \,a^{3} b^{3} d \,x^{3}}{3 e^{2}}+\frac{5 B \,a^{2} b^{4} d^{2} x^{3}}{e^{3}}-\frac{2 B a \,b^{5} d^{3} x^{3}}{e^{4}}+\frac{B \,b^{6} d^{4} x^{3}}{3 e^{5}}+\frac{15 A \,a^{4} b^{2} x^{2}}{2 e}-\frac{10 A \,a^{3} b^{3} d \,x^{2}}{e^{2}}+\frac{15 A \,a^{2} b^{4} d^{2} x^{2}}{2 e^{3}}-\frac{3 A a \,b^{5} d^{3} x^{2}}{e^{4}}+\frac{A \,b^{6} d^{4} x^{2}}{2 e^{5}}+\frac{3 B \,a^{5} b \,x^{2}}{e}-\frac{15 B \,a^{4} b^{2} d \,x^{2}}{2 e^{2}}+\frac{10 B \,a^{3} b^{3} d^{2} x^{2}}{e^{3}}-\frac{15 B \,a^{2} b^{4} d^{3} x^{2}}{2 e^{4}}+\frac{3 B a \,b^{5} d^{4} x^{2}}{e^{5}}-\frac{B \,b^{6} d^{5} x^{2}}{2 e^{6}}+\frac{A \,a^{6} \ln \left(e x +d \right)}{e}-\frac{6 A \,a^{5} b d \ln \left(e x +d \right)}{e^{2}}+\frac{6 A \,a^{5} b x}{e}+\frac{15 A \,a^{4} b^{2} d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{15 A \,a^{4} b^{2} d x}{e^{2}}-\frac{20 A \,a^{3} b^{3} d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{20 A \,a^{3} b^{3} d^{2} x}{e^{3}}+\frac{15 A \,a^{2} b^{4} d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{15 A \,a^{2} b^{4} d^{3} x}{e^{4}}-\frac{6 A a \,b^{5} d^{5} \ln \left(e x +d \right)}{e^{6}}+\frac{6 A a \,b^{5} d^{4} x}{e^{5}}+\frac{A \,b^{6} d^{6} \ln \left(e x +d \right)}{e^{7}}-\frac{A \,b^{6} d^{5} x}{e^{6}}-\frac{B \,a^{6} d \ln \left(e x +d \right)}{e^{2}}+\frac{B \,a^{6} x}{e}+\frac{6 B \,a^{5} b \,d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{6 B \,a^{5} b d x}{e^{2}}-\frac{15 B \,a^{4} b^{2} d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{15 B \,a^{4} b^{2} d^{2} x}{e^{3}}+\frac{20 B \,a^{3} b^{3} d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{20 B \,a^{3} b^{3} d^{3} x}{e^{4}}-\frac{15 B \,a^{2} b^{4} d^{5} \ln \left(e x +d \right)}{e^{6}}+\frac{15 B \,a^{2} b^{4} d^{4} x}{e^{5}}+\frac{6 B a \,b^{5} d^{6} \ln \left(e x +d \right)}{e^{7}}-\frac{6 B a \,b^{5} d^{5} x}{e^{6}}-\frac{B \,b^{6} d^{7} \ln \left(e x +d \right)}{e^{8}}+\frac{B \,b^{6} d^{6} x}{e^{7}}"," ",0,"1/7/e*B*b^6*x^7+1/6/e*A*x^6*b^6+1/e*B*x*a^6+1/e*ln(e*x+d)*A*a^6+3/2/e^3*B*x^4*a*b^5*d^2-5/e^2*A*x^3*a^2*b^4*d+2/e^3*A*x^3*a*b^5*d^2-20/3/e^2*B*x^3*a^3*b^3*d-10/e^2*A*x^2*a^3*b^3*d+15/2/e^3*A*x^2*a^2*b^4*d^2-3/e^4*A*x^2*a*b^5*d^3-15/2/e^2*B*x^2*a^4*b^2*d+10/e^3*B*x^2*a^3*b^3*d^2-15/2/e^4*B*x^2*a^2*b^4*d^3+3/e^5*B*x^2*a*b^5*d^4-6/5/e^2*B*x^5*a*b^5*d-3/2/e^2*A*x^4*a*b^5*d+6/e*A*x*a^5*b-1/e^6*A*x*b^6*d^5+1/e^7*ln(e*x+d)*A*b^6*d^6+5/e^3*B*x^3*a^2*b^4*d^2+15/e^5*B*x*a^2*b^4*d^4+15/e^3*B*x*a^4*b^2*d^2+6/e^5*A*x*a*b^5*d^4+15/2/e*A*x^2*a^4*b^2+1/2/e^5*A*x^2*b^6*d^4+5/e*B*x^3*a^4*b^2+1/3/e^5*B*x^3*b^6*d^4-1/3/e^4*A*x^3*b^6*d^3+5/e*B*x^4*a^3*b^3-1/4/e^4*B*x^4*b^6*d^3+1/4/e^3*A*x^4*b^6*d^2+3/e*B*x^5*a^2*b^4-1/e^2*ln(e*x+d)*B*a^6*d-1/e^8*ln(e*x+d)*B*b^6*d^7+1/e^7*B*x*b^6*d^6+3/e*B*x^2*a^5*b-1/2/e^6*B*x^2*b^6*d^5+20/3/e*A*x^3*a^3*b^3+1/5/e^3*B*x^5*b^6*d^2+15/4/e*A*x^4*a^2*b^4-1/6/e^2*B*x^6*b^6*d+6/5/e*A*x^5*a*b^5-1/5/e^2*A*x^5*b^6*d+1/e*B*x^6*a*b^5+6/e^3*ln(e*x+d)*B*a^5*b*d^2-15/e^4*ln(e*x+d)*B*a^4*b^2*d^3+20/e^5*ln(e*x+d)*B*a^3*b^3*d^4-15/e^6*ln(e*x+d)*B*a^2*b^4*d^5+6/e^7*ln(e*x+d)*B*a*b^5*d^6-2/e^4*B*x^3*a*b^5*d^3-6/e^6*B*x*a*b^5*d^5-15/4/e^2*B*x^4*a^2*b^4*d-20/e^4*B*x*a^3*b^3*d^3-6/e^2*B*x*a^5*b*d+20/e^3*A*x*a^3*b^3*d^2-15/e^4*A*x*a^2*b^4*d^3-15/e^2*A*x*a^4*b^2*d-6/e^2*ln(e*x+d)*A*a^5*b*d+15/e^3*ln(e*x+d)*A*a^4*b^2*d^2-20/e^4*ln(e*x+d)*A*a^3*b^3*d^3+15/e^5*ln(e*x+d)*A*a^2*b^4*d^4-6/e^6*ln(e*x+d)*A*a*b^5*d^5","B"
1061,1,1047,267,0.017000," ","int((b*x+a)^6*(B*x+A)/(e*x+d)^2,x)","\frac{B \,b^{6} x^{6}}{6 e^{2}}+\frac{A \,b^{6} x^{5}}{5 e^{2}}+\frac{6 B a \,b^{5} x^{5}}{5 e^{2}}-\frac{2 B \,b^{6} d \,x^{5}}{5 e^{3}}+\frac{3 A a \,b^{5} x^{4}}{2 e^{2}}-\frac{A \,b^{6} d \,x^{4}}{2 e^{3}}+\frac{15 B \,a^{2} b^{4} x^{4}}{4 e^{2}}-\frac{3 B a \,b^{5} d \,x^{4}}{e^{3}}+\frac{3 B \,b^{6} d^{2} x^{4}}{4 e^{4}}+\frac{5 A \,a^{2} b^{4} x^{3}}{e^{2}}-\frac{4 A a \,b^{5} d \,x^{3}}{e^{3}}+\frac{A \,b^{6} d^{2} x^{3}}{e^{4}}+\frac{20 B \,a^{3} b^{3} x^{3}}{3 e^{2}}-\frac{10 B \,a^{2} b^{4} d \,x^{3}}{e^{3}}+\frac{6 B a \,b^{5} d^{2} x^{3}}{e^{4}}-\frac{4 B \,b^{6} d^{3} x^{3}}{3 e^{5}}+\frac{10 A \,a^{3} b^{3} x^{2}}{e^{2}}-\frac{15 A \,a^{2} b^{4} d \,x^{2}}{e^{3}}+\frac{9 A a \,b^{5} d^{2} x^{2}}{e^{4}}-\frac{2 A \,b^{6} d^{3} x^{2}}{e^{5}}+\frac{15 B \,a^{4} b^{2} x^{2}}{2 e^{2}}-\frac{20 B \,a^{3} b^{3} d \,x^{2}}{e^{3}}+\frac{45 B \,a^{2} b^{4} d^{2} x^{2}}{2 e^{4}}-\frac{12 B a \,b^{5} d^{3} x^{2}}{e^{5}}+\frac{5 B \,b^{6} d^{4} x^{2}}{2 e^{6}}-\frac{A \,a^{6}}{\left(e x +d \right) e}+\frac{6 A \,a^{5} b d}{\left(e x +d \right) e^{2}}+\frac{6 A \,a^{5} b \ln \left(e x +d \right)}{e^{2}}-\frac{15 A \,a^{4} b^{2} d^{2}}{\left(e x +d \right) e^{3}}-\frac{30 A \,a^{4} b^{2} d \ln \left(e x +d \right)}{e^{3}}+\frac{15 A \,a^{4} b^{2} x}{e^{2}}+\frac{20 A \,a^{3} b^{3} d^{3}}{\left(e x +d \right) e^{4}}+\frac{60 A \,a^{3} b^{3} d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{40 A \,a^{3} b^{3} d x}{e^{3}}-\frac{15 A \,a^{2} b^{4} d^{4}}{\left(e x +d \right) e^{5}}-\frac{60 A \,a^{2} b^{4} d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{45 A \,a^{2} b^{4} d^{2} x}{e^{4}}+\frac{6 A a \,b^{5} d^{5}}{\left(e x +d \right) e^{6}}+\frac{30 A a \,b^{5} d^{4} \ln \left(e x +d \right)}{e^{6}}-\frac{24 A a \,b^{5} d^{3} x}{e^{5}}-\frac{A \,b^{6} d^{6}}{\left(e x +d \right) e^{7}}-\frac{6 A \,b^{6} d^{5} \ln \left(e x +d \right)}{e^{7}}+\frac{5 A \,b^{6} d^{4} x}{e^{6}}+\frac{B \,a^{6} d}{\left(e x +d \right) e^{2}}+\frac{B \,a^{6} \ln \left(e x +d \right)}{e^{2}}-\frac{6 B \,a^{5} b \,d^{2}}{\left(e x +d \right) e^{3}}-\frac{12 B \,a^{5} b d \ln \left(e x +d \right)}{e^{3}}+\frac{6 B \,a^{5} b x}{e^{2}}+\frac{15 B \,a^{4} b^{2} d^{3}}{\left(e x +d \right) e^{4}}+\frac{45 B \,a^{4} b^{2} d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{30 B \,a^{4} b^{2} d x}{e^{3}}-\frac{20 B \,a^{3} b^{3} d^{4}}{\left(e x +d \right) e^{5}}-\frac{80 B \,a^{3} b^{3} d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{60 B \,a^{3} b^{3} d^{2} x}{e^{4}}+\frac{15 B \,a^{2} b^{4} d^{5}}{\left(e x +d \right) e^{6}}+\frac{75 B \,a^{2} b^{4} d^{4} \ln \left(e x +d \right)}{e^{6}}-\frac{60 B \,a^{2} b^{4} d^{3} x}{e^{5}}-\frac{6 B a \,b^{5} d^{6}}{\left(e x +d \right) e^{7}}-\frac{36 B a \,b^{5} d^{5} \ln \left(e x +d \right)}{e^{7}}+\frac{30 B a \,b^{5} d^{4} x}{e^{6}}+\frac{B \,b^{6} d^{7}}{\left(e x +d \right) e^{8}}+\frac{7 B \,b^{6} d^{6} \ln \left(e x +d \right)}{e^{8}}-\frac{6 B \,b^{6} d^{5} x}{e^{7}}"," ",0,"1/e^2*ln(e*x+d)*B*a^6+1/6*b^6/e^2*B*x^6+1/5*b^6/e^2*A*x^5-1/e/(e*x+d)*A*a^6-36/e^7*ln(e*x+d)*B*a*b^5*d^5+15/e^6/(e*x+d)*B*a^2*b^4*d^5-6/e^7/(e*x+d)*B*a*b^5*d^6-3*b^5/e^3*B*x^4*a*d+6/e^2/(e*x+d)*A*d*a^5*b-15/e^3/(e*x+d)*A*a^4*b^2*d^2+20/e^4/(e*x+d)*A*a^3*b^3*d^3-15/e^5/(e*x+d)*A*a^2*b^4*d^4+6/e^6/(e*x+d)*A*a*b^5*d^5-60*b^4/e^5*B*a^2*d^3*x+30*b^5/e^6*B*a*d^4*x+15/4*b^4/e^2*B*x^4*a^2+3/4*b^6/e^4*B*x^4*d^2-10*b^4/e^3*B*x^3*a^2*d-40*b^3/e^3*A*a^3*d*x+45/2*b^4/e^4*B*x^2*a^2*d^2-12*b^5/e^5*B*x^2*a*d^3+45*b^4/e^4*A*a^2*d^2*x-24*b^5/e^5*A*a*d^3*x-30*b^2/e^3*B*a^4*d*x+60*b^3/e^4*B*a^3*d^2*x-4*b^5/e^3*A*x^3*a*d-2/5*b^6/e^3*B*x^5*d+3/2*b^5/e^2*A*x^4*a+6/5*b^5/e^2*B*x^5*a-2*b^6/e^5*A*x^2*d^3+15/2*b^2/e^2*B*x^2*a^4+5/2*b^6/e^6*B*x^2*d^4+15*b^2/e^2*A*a^4*x+5*b^6/e^6*A*d^4*x-1/2*b^6/e^3*A*x^4*d-6*b^6/e^7*B*d^5*x+b^6/e^4*A*x^3*d^2+5*b^4/e^2*A*x^3*a^2+7/e^8*ln(e*x+d)*B*b^6*d^6-6/e^7*ln(e*x+d)*A*b^6*d^5-1/e^7/(e*x+d)*A*b^6*d^6+1/e^8/(e*x+d)*B*b^6*d^7+1/e^2/(e*x+d)*B*d*a^6+6/e^2*ln(e*x+d)*A*a^5*b+6*b/e^2*B*a^5*x+20/3*b^3/e^2*B*x^3*a^3-4/3*b^6/e^5*B*x^3*d^3+10*b^3/e^2*A*x^2*a^3-20*b^3/e^3*B*x^2*a^3*d+6*b^5/e^4*B*x^3*a*d^2-15*b^4/e^3*A*x^2*a^2*d+9*b^5/e^4*A*x^2*a*d^2-60/e^5*ln(e*x+d)*A*a^2*b^4*d^3+30/e^6*ln(e*x+d)*A*a*b^5*d^4-12/e^3*ln(e*x+d)*B*a^5*b*d+45/e^4*ln(e*x+d)*B*a^4*b^2*d^2-80/e^5*ln(e*x+d)*B*a^3*b^3*d^3+75/e^6*ln(e*x+d)*B*a^2*b^4*d^4-6/e^3/(e*x+d)*B*a^5*b*d^2+15/e^4/(e*x+d)*B*a^4*b^2*d^3-20/e^5/(e*x+d)*B*a^3*b^3*d^4-30/e^3*ln(e*x+d)*A*a^4*b^2*d+60/e^4*ln(e*x+d)*A*a^3*b^3*d^2","B"
1062,1,1101,268,0.019000," ","int((b*x+a)^6*(B*x+A)/(e*x+d)^3,x)","\frac{B \,b^{6} x^{5}}{5 e^{3}}+\frac{A \,b^{6} x^{4}}{4 e^{3}}+\frac{3 B a \,b^{5} x^{4}}{2 e^{3}}-\frac{3 B \,b^{6} d \,x^{4}}{4 e^{4}}+\frac{2 A a \,b^{5} x^{3}}{e^{3}}-\frac{A \,b^{6} d \,x^{3}}{e^{4}}+\frac{5 B \,a^{2} b^{4} x^{3}}{e^{3}}-\frac{6 B a \,b^{5} d \,x^{3}}{e^{4}}+\frac{2 B \,b^{6} d^{2} x^{3}}{e^{5}}-\frac{A \,a^{6}}{2 \left(e x +d \right)^{2} e}+\frac{3 A \,a^{5} b d}{\left(e x +d \right)^{2} e^{2}}-\frac{15 A \,a^{4} b^{2} d^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{10 A \,a^{3} b^{3} d^{3}}{\left(e x +d \right)^{2} e^{4}}-\frac{15 A \,a^{2} b^{4} d^{4}}{2 \left(e x +d \right)^{2} e^{5}}+\frac{15 A \,a^{2} b^{4} x^{2}}{2 e^{3}}+\frac{3 A a \,b^{5} d^{5}}{\left(e x +d \right)^{2} e^{6}}-\frac{9 A a \,b^{5} d \,x^{2}}{e^{4}}-\frac{A \,b^{6} d^{6}}{2 \left(e x +d \right)^{2} e^{7}}+\frac{3 A \,b^{6} d^{2} x^{2}}{e^{5}}+\frac{B \,a^{6} d}{2 \left(e x +d \right)^{2} e^{2}}-\frac{3 B \,a^{5} b \,d^{2}}{\left(e x +d \right)^{2} e^{3}}+\frac{15 B \,a^{4} b^{2} d^{3}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{10 B \,a^{3} b^{3} d^{4}}{\left(e x +d \right)^{2} e^{5}}+\frac{10 B \,a^{3} b^{3} x^{2}}{e^{3}}+\frac{15 B \,a^{2} b^{4} d^{5}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{45 B \,a^{2} b^{4} d \,x^{2}}{2 e^{4}}-\frac{3 B a \,b^{5} d^{6}}{\left(e x +d \right)^{2} e^{7}}+\frac{18 B a \,b^{5} d^{2} x^{2}}{e^{5}}+\frac{B \,b^{6} d^{7}}{2 \left(e x +d \right)^{2} e^{8}}-\frac{5 B \,b^{6} d^{3} x^{2}}{e^{6}}-\frac{6 A \,a^{5} b}{\left(e x +d \right) e^{2}}+\frac{30 A \,a^{4} b^{2} d}{\left(e x +d \right) e^{3}}+\frac{15 A \,a^{4} b^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{60 A \,a^{3} b^{3} d^{2}}{\left(e x +d \right) e^{4}}-\frac{60 A \,a^{3} b^{3} d \ln \left(e x +d \right)}{e^{4}}+\frac{20 A \,a^{3} b^{3} x}{e^{3}}+\frac{60 A \,a^{2} b^{4} d^{3}}{\left(e x +d \right) e^{5}}+\frac{90 A \,a^{2} b^{4} d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{45 A \,a^{2} b^{4} d x}{e^{4}}-\frac{30 A a \,b^{5} d^{4}}{\left(e x +d \right) e^{6}}-\frac{60 A a \,b^{5} d^{3} \ln \left(e x +d \right)}{e^{6}}+\frac{36 A a \,b^{5} d^{2} x}{e^{5}}+\frac{6 A \,b^{6} d^{5}}{\left(e x +d \right) e^{7}}+\frac{15 A \,b^{6} d^{4} \ln \left(e x +d \right)}{e^{7}}-\frac{10 A \,b^{6} d^{3} x}{e^{6}}-\frac{B \,a^{6}}{\left(e x +d \right) e^{2}}+\frac{12 B \,a^{5} b d}{\left(e x +d \right) e^{3}}+\frac{6 B \,a^{5} b \ln \left(e x +d \right)}{e^{3}}-\frac{45 B \,a^{4} b^{2} d^{2}}{\left(e x +d \right) e^{4}}-\frac{45 B \,a^{4} b^{2} d \ln \left(e x +d \right)}{e^{4}}+\frac{15 B \,a^{4} b^{2} x}{e^{3}}+\frac{80 B \,a^{3} b^{3} d^{3}}{\left(e x +d \right) e^{5}}+\frac{120 B \,a^{3} b^{3} d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{60 B \,a^{3} b^{3} d x}{e^{4}}-\frac{75 B \,a^{2} b^{4} d^{4}}{\left(e x +d \right) e^{6}}-\frac{150 B \,a^{2} b^{4} d^{3} \ln \left(e x +d \right)}{e^{6}}+\frac{90 B \,a^{2} b^{4} d^{2} x}{e^{5}}+\frac{36 B a \,b^{5} d^{5}}{\left(e x +d \right) e^{7}}+\frac{90 B a \,b^{5} d^{4} \ln \left(e x +d \right)}{e^{7}}-\frac{60 B a \,b^{5} d^{3} x}{e^{6}}-\frac{7 B \,b^{6} d^{6}}{\left(e x +d \right) e^{8}}-\frac{21 B \,b^{6} d^{5} \ln \left(e x +d \right)}{e^{8}}+\frac{15 B \,b^{6} d^{4} x}{e^{7}}"," ",0,"1/5*b^6/e^3*B*x^5+1/4*b^6/e^3*A*x^4-1/e^2/(e*x+d)*B*a^6-1/2/e/(e*x+d)^2*A*a^6+15*b^2/e^3*B*a^4*x+15*b^6/e^7*B*d^4*x+15*b^2/e^3*ln(e*x+d)*A*a^4+15*b^6/e^7*ln(e*x+d)*A*d^4+6*b/e^3*ln(e*x+d)*B*a^5-21*b^6/e^8*ln(e*x+d)*B*d^5-1/2/e^7/(e*x+d)^2*A*b^6*d^6+1/2/e^2/(e*x+d)^2*B*d*a^6+1/2/e^8/(e*x+d)^2*B*b^6*d^7-b^6/e^4*A*x^3*d+5*b^4/e^3*B*x^3*a^2+2*b^6/e^5*B*x^3*d^2+20*b^3/e^3*A*a^3*x-10*b^6/e^6*A*d^3*x+15/2*b^4/e^3*A*x^2*a^2+3*b^6/e^5*A*x^2*d^2+10*b^3/e^3*B*x^2*a^3+2*b^5/e^3*A*x^3*a-5*b^6/e^6*B*x^2*d^3+3/2*b^5/e^3*B*x^4*a-3/4*b^6/e^4*B*x^4*d-6/e^2/(e*x+d)*A*a^5*b+6/e^7/(e*x+d)*A*b^6*d^5-7/e^8/(e*x+d)*B*b^6*d^6+36*b^5/e^5*A*a*d^2*x-6*b^5/e^4*B*x^3*a*d+120*b^3/e^5*ln(e*x+d)*B*a^3*d^2-150*b^4/e^6*ln(e*x+d)*B*a^2*d^3+90*b^5/e^7*ln(e*x+d)*B*a*d^4+3/e^2/(e*x+d)^2*A*d*a^5*b-15/2/e^3/(e*x+d)^2*A*d^2*a^4*b^2+10/e^4/(e*x+d)^2*A*a^3*b^3*d^3-15/2/e^5/(e*x+d)^2*A*a^2*b^4*d^4+3/e^6/(e*x+d)^2*A*a*b^5*d^5-3/e^3/(e*x+d)^2*B*d^2*a^5*b+15/2/e^4/(e*x+d)^2*B*a^4*b^2*d^3-10/e^5/(e*x+d)^2*B*a^3*b^3*d^4+15/2/e^6/(e*x+d)^2*B*a^2*b^4*d^5-3/e^7/(e*x+d)^2*B*a*b^5*d^6-9*b^5/e^4*A*x^2*a*d-45/2*b^4/e^4*B*x^2*a^2*d-60*b^3/e^4*B*a^3*d*x+90*b^4/e^5*B*a^2*d^2*x-60*b^5/e^6*B*a*d^3*x+18*b^5/e^5*B*x^2*a*d^2-45*b^4/e^4*A*a^2*d*x+30/e^3/(e*x+d)*A*a^4*b^2*d-60/e^4/(e*x+d)*A*a^3*b^3*d^2+60/e^5/(e*x+d)*A*a^2*b^4*d^3-30/e^6/(e*x+d)*A*a*b^5*d^4+12/e^3/(e*x+d)*B*a^5*b*d-45/e^4/(e*x+d)*B*a^4*b^2*d^2+80/e^5/(e*x+d)*B*a^3*b^3*d^3-75/e^6/(e*x+d)*B*a^2*b^4*d^4+36/e^7/(e*x+d)*B*a*b^5*d^5-60*b^3/e^4*ln(e*x+d)*A*a^3*d+90*b^4/e^5*ln(e*x+d)*A*a^2*d^2-60*b^5/e^6*ln(e*x+d)*A*a*d^3-45*b^2/e^4*ln(e*x+d)*B*a^4*d","B"
1063,1,1143,269,0.021000," ","int((b*x+a)^6*(B*x+A)/(e*x+d)^4,x)","\frac{B \,b^{6} x^{4}}{4 e^{4}}-\frac{A \,a^{6}}{3 \left(e x +d \right)^{3} e}+\frac{2 A \,a^{5} b d}{\left(e x +d \right)^{3} e^{2}}-\frac{5 A \,a^{4} b^{2} d^{2}}{\left(e x +d \right)^{3} e^{3}}+\frac{20 A \,a^{3} b^{3} d^{3}}{3 \left(e x +d \right)^{3} e^{4}}-\frac{5 A \,a^{2} b^{4} d^{4}}{\left(e x +d \right)^{3} e^{5}}+\frac{2 A a \,b^{5} d^{5}}{\left(e x +d \right)^{3} e^{6}}-\frac{A \,b^{6} d^{6}}{3 \left(e x +d \right)^{3} e^{7}}+\frac{A \,b^{6} x^{3}}{3 e^{4}}+\frac{B \,a^{6} d}{3 \left(e x +d \right)^{3} e^{2}}-\frac{2 B \,a^{5} b \,d^{2}}{\left(e x +d \right)^{3} e^{3}}+\frac{5 B \,a^{4} b^{2} d^{3}}{\left(e x +d \right)^{3} e^{4}}-\frac{20 B \,a^{3} b^{3} d^{4}}{3 \left(e x +d \right)^{3} e^{5}}+\frac{5 B \,a^{2} b^{4} d^{5}}{\left(e x +d \right)^{3} e^{6}}-\frac{2 B a \,b^{5} d^{6}}{\left(e x +d \right)^{3} e^{7}}+\frac{2 B a \,b^{5} x^{3}}{e^{4}}+\frac{B \,b^{6} d^{7}}{3 \left(e x +d \right)^{3} e^{8}}-\frac{4 B \,b^{6} d \,x^{3}}{3 e^{5}}-\frac{3 A \,a^{5} b}{\left(e x +d \right)^{2} e^{2}}+\frac{15 A \,a^{4} b^{2} d}{\left(e x +d \right)^{2} e^{3}}-\frac{30 A \,a^{3} b^{3} d^{2}}{\left(e x +d \right)^{2} e^{4}}+\frac{30 A \,a^{2} b^{4} d^{3}}{\left(e x +d \right)^{2} e^{5}}-\frac{15 A a \,b^{5} d^{4}}{\left(e x +d \right)^{2} e^{6}}+\frac{3 A a \,b^{5} x^{2}}{e^{4}}+\frac{3 A \,b^{6} d^{5}}{\left(e x +d \right)^{2} e^{7}}-\frac{2 A \,b^{6} d \,x^{2}}{e^{5}}-\frac{B \,a^{6}}{2 \left(e x +d \right)^{2} e^{2}}+\frac{6 B \,a^{5} b d}{\left(e x +d \right)^{2} e^{3}}-\frac{45 B \,a^{4} b^{2} d^{2}}{2 \left(e x +d \right)^{2} e^{4}}+\frac{40 B \,a^{3} b^{3} d^{3}}{\left(e x +d \right)^{2} e^{5}}-\frac{75 B \,a^{2} b^{4} d^{4}}{2 \left(e x +d \right)^{2} e^{6}}+\frac{15 B \,a^{2} b^{4} x^{2}}{2 e^{4}}+\frac{18 B a \,b^{5} d^{5}}{\left(e x +d \right)^{2} e^{7}}-\frac{12 B a \,b^{5} d \,x^{2}}{e^{5}}-\frac{7 B \,b^{6} d^{6}}{2 \left(e x +d \right)^{2} e^{8}}+\frac{5 B \,b^{6} d^{2} x^{2}}{e^{6}}-\frac{15 A \,a^{4} b^{2}}{\left(e x +d \right) e^{3}}+\frac{60 A \,a^{3} b^{3} d}{\left(e x +d \right) e^{4}}+\frac{20 A \,a^{3} b^{3} \ln \left(e x +d \right)}{e^{4}}-\frac{90 A \,a^{2} b^{4} d^{2}}{\left(e x +d \right) e^{5}}-\frac{60 A \,a^{2} b^{4} d \ln \left(e x +d \right)}{e^{5}}+\frac{15 A \,a^{2} b^{4} x}{e^{4}}+\frac{60 A a \,b^{5} d^{3}}{\left(e x +d \right) e^{6}}+\frac{60 A a \,b^{5} d^{2} \ln \left(e x +d \right)}{e^{6}}-\frac{24 A a \,b^{5} d x}{e^{5}}-\frac{15 A \,b^{6} d^{4}}{\left(e x +d \right) e^{7}}-\frac{20 A \,b^{6} d^{3} \ln \left(e x +d \right)}{e^{7}}+\frac{10 A \,b^{6} d^{2} x}{e^{6}}-\frac{6 B \,a^{5} b}{\left(e x +d \right) e^{3}}+\frac{45 B \,a^{4} b^{2} d}{\left(e x +d \right) e^{4}}+\frac{15 B \,a^{4} b^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{120 B \,a^{3} b^{3} d^{2}}{\left(e x +d \right) e^{5}}-\frac{80 B \,a^{3} b^{3} d \ln \left(e x +d \right)}{e^{5}}+\frac{20 B \,a^{3} b^{3} x}{e^{4}}+\frac{150 B \,a^{2} b^{4} d^{3}}{\left(e x +d \right) e^{6}}+\frac{150 B \,a^{2} b^{4} d^{2} \ln \left(e x +d \right)}{e^{6}}-\frac{60 B \,a^{2} b^{4} d x}{e^{5}}-\frac{90 B a \,b^{5} d^{4}}{\left(e x +d \right) e^{7}}-\frac{120 B a \,b^{5} d^{3} \ln \left(e x +d \right)}{e^{7}}+\frac{60 B a \,b^{5} d^{2} x}{e^{6}}+\frac{21 B \,b^{6} d^{5}}{\left(e x +d \right) e^{8}}+\frac{35 B \,b^{6} d^{4} \ln \left(e x +d \right)}{e^{8}}-\frac{20 B \,b^{6} d^{3} x}{e^{7}}"," ",0,"-1/2/e^2/(e*x+d)^2*B*a^6+1/4*b^6/e^4*B*x^4+1/3*b^6/e^4*A*x^3-1/3/e/(e*x+d)^3*A*a^6+2*b^5/e^4*B*x^3*a-4/3*b^6/e^5*B*x^3*d-1/3/e^7/(e*x+d)^3*A*b^6*d^6+1/3/e^2/(e*x+d)^3*B*d*a^6+1/3/e^8/(e*x+d)^3*B*b^6*d^7+20*b^3/e^4*ln(e*x+d)*A*a^3-20*b^6/e^7*ln(e*x+d)*A*d^3+2/e^2/(e*x+d)^3*A*d*a^5*b-5/e^3/(e*x+d)^3*A*d^2*a^4*b^2+60*b^3/e^4/(e*x+d)*A*a^3*d-90*b^4/e^5/(e*x+d)*A*a^2*d^2+60*b^5/e^6/(e*x+d)*A*a*d^3+45*b^2/e^4/(e*x+d)*B*a^4*d-120*b^3/e^5/(e*x+d)*B*a^3*d^2+150*b^4/e^6/(e*x+d)*B*a^2*d^3-90*b^5/e^7/(e*x+d)*B*a*d^4-12*b^5/e^5*B*x^2*a*d-24*b^5/e^5*A*x*a*d-6*b/e^3/(e*x+d)*B*a^5+21*b^6/e^8/(e*x+d)*B*d^5-60*b^4/e^5*B*x*a^2*d+60*b^5/e^6*B*x*a*d^2+20/3/e^4/(e*x+d)^3*A*d^3*a^3*b^3-5/e^5/(e*x+d)^3*A*a^2*b^4*d^4+2/e^6/(e*x+d)^3*A*a*b^5*d^5-2/e^3/(e*x+d)^3*B*d^2*a^5*b+5/e^4/(e*x+d)^3*B*d^3*a^4*b^2-20/3/e^5/(e*x+d)^3*B*a^3*b^3*d^4+5/e^6/(e*x+d)^3*B*a^2*b^4*d^5-2/e^7/(e*x+d)^3*B*a*b^5*d^6-60*b^4/e^5*ln(e*x+d)*A*a^2*d+60*b^5/e^6*ln(e*x+d)*A*a*d^2-80*b^3/e^5*ln(e*x+d)*B*a^3*d+150*b^4/e^6*ln(e*x+d)*B*a^2*d^2-120*b^5/e^7*ln(e*x+d)*B*a*d^3+15/e^3/(e*x+d)^2*A*a^4*b^2*d-30/e^4/(e*x+d)^2*A*a^3*b^3*d^2+30/e^5/(e*x+d)^2*A*a^2*b^4*d^3-15/e^6/(e*x+d)^2*A*a*b^5*d^4+6/e^3/(e*x+d)^2*B*a^5*b*d-45/2/e^4/(e*x+d)^2*B*a^4*b^2*d^2+40/e^5/(e*x+d)^2*B*a^3*b^3*d^3-75/2/e^6/(e*x+d)^2*B*a^2*b^4*d^4+18/e^7/(e*x+d)^2*B*a*b^5*d^5+15*b^2/e^4*ln(e*x+d)*B*a^4+35*b^6/e^8*ln(e*x+d)*B*d^4-3/e^2/(e*x+d)^2*A*a^5*b+3/e^7/(e*x+d)^2*A*b^6*d^5-7/2/e^8/(e*x+d)^2*B*b^6*d^6+3*b^5/e^4*A*x^2*a-2*b^6/e^5*A*x^2*d+15/2*b^4/e^4*B*x^2*a^2+5*b^6/e^6*B*x^2*d^2+15*b^4/e^4*A*x*a^2+10*b^6/e^6*A*x*d^2+20*b^3/e^4*B*x*a^3-20*b^6/e^7*B*x*d^3-15*b^2/e^3/(e*x+d)*A*a^4-15*b^6/e^7/(e*x+d)*A*d^4","B"
1064,1,1177,269,0.019000," ","int((b*x+a)^6*(B*x+A)/(e*x+d)^5,x)","-\frac{A \,a^{6}}{4 \left(e x +d \right)^{4} e}+\frac{3 A \,a^{5} b d}{2 \left(e x +d \right)^{4} e^{2}}-\frac{15 A \,a^{4} b^{2} d^{2}}{4 \left(e x +d \right)^{4} e^{3}}+\frac{5 A \,a^{3} b^{3} d^{3}}{\left(e x +d \right)^{4} e^{4}}-\frac{15 A \,a^{2} b^{4} d^{4}}{4 \left(e x +d \right)^{4} e^{5}}+\frac{3 A a \,b^{5} d^{5}}{2 \left(e x +d \right)^{4} e^{6}}-\frac{A \,b^{6} d^{6}}{4 \left(e x +d \right)^{4} e^{7}}+\frac{B \,a^{6} d}{4 \left(e x +d \right)^{4} e^{2}}-\frac{3 B \,a^{5} b \,d^{2}}{2 \left(e x +d \right)^{4} e^{3}}+\frac{15 B \,a^{4} b^{2} d^{3}}{4 \left(e x +d \right)^{4} e^{4}}-\frac{5 B \,a^{3} b^{3} d^{4}}{\left(e x +d \right)^{4} e^{5}}+\frac{15 B \,a^{2} b^{4} d^{5}}{4 \left(e x +d \right)^{4} e^{6}}-\frac{3 B a \,b^{5} d^{6}}{2 \left(e x +d \right)^{4} e^{7}}+\frac{B \,b^{6} d^{7}}{4 \left(e x +d \right)^{4} e^{8}}-\frac{2 A \,a^{5} b}{\left(e x +d \right)^{3} e^{2}}+\frac{10 A \,a^{4} b^{2} d}{\left(e x +d \right)^{3} e^{3}}-\frac{20 A \,a^{3} b^{3} d^{2}}{\left(e x +d \right)^{3} e^{4}}+\frac{20 A \,a^{2} b^{4} d^{3}}{\left(e x +d \right)^{3} e^{5}}-\frac{10 A a \,b^{5} d^{4}}{\left(e x +d \right)^{3} e^{6}}+\frac{2 A \,b^{6} d^{5}}{\left(e x +d \right)^{3} e^{7}}-\frac{B \,a^{6}}{3 \left(e x +d \right)^{3} e^{2}}+\frac{4 B \,a^{5} b d}{\left(e x +d \right)^{3} e^{3}}-\frac{15 B \,a^{4} b^{2} d^{2}}{\left(e x +d \right)^{3} e^{4}}+\frac{80 B \,a^{3} b^{3} d^{3}}{3 \left(e x +d \right)^{3} e^{5}}-\frac{25 B \,a^{2} b^{4} d^{4}}{\left(e x +d \right)^{3} e^{6}}+\frac{12 B a \,b^{5} d^{5}}{\left(e x +d \right)^{3} e^{7}}-\frac{7 B \,b^{6} d^{6}}{3 \left(e x +d \right)^{3} e^{8}}+\frac{B \,b^{6} x^{3}}{3 e^{5}}-\frac{15 A \,a^{4} b^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{30 A \,a^{3} b^{3} d}{\left(e x +d \right)^{2} e^{4}}-\frac{45 A \,a^{2} b^{4} d^{2}}{\left(e x +d \right)^{2} e^{5}}+\frac{30 A a \,b^{5} d^{3}}{\left(e x +d \right)^{2} e^{6}}-\frac{15 A \,b^{6} d^{4}}{2 \left(e x +d \right)^{2} e^{7}}+\frac{A \,b^{6} x^{2}}{2 e^{5}}-\frac{3 B \,a^{5} b}{\left(e x +d \right)^{2} e^{3}}+\frac{45 B \,a^{4} b^{2} d}{2 \left(e x +d \right)^{2} e^{4}}-\frac{60 B \,a^{3} b^{3} d^{2}}{\left(e x +d \right)^{2} e^{5}}+\frac{75 B \,a^{2} b^{4} d^{3}}{\left(e x +d \right)^{2} e^{6}}-\frac{45 B a \,b^{5} d^{4}}{\left(e x +d \right)^{2} e^{7}}+\frac{3 B a \,b^{5} x^{2}}{e^{5}}+\frac{21 B \,b^{6} d^{5}}{2 \left(e x +d \right)^{2} e^{8}}-\frac{5 B \,b^{6} d \,x^{2}}{2 e^{6}}-\frac{20 A \,a^{3} b^{3}}{\left(e x +d \right) e^{4}}+\frac{60 A \,a^{2} b^{4} d}{\left(e x +d \right) e^{5}}+\frac{15 A \,a^{2} b^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{60 A a \,b^{5} d^{2}}{\left(e x +d \right) e^{6}}-\frac{30 A a \,b^{5} d \ln \left(e x +d \right)}{e^{6}}+\frac{6 A a \,b^{5} x}{e^{5}}+\frac{20 A \,b^{6} d^{3}}{\left(e x +d \right) e^{7}}+\frac{15 A \,b^{6} d^{2} \ln \left(e x +d \right)}{e^{7}}-\frac{5 A \,b^{6} d x}{e^{6}}-\frac{15 B \,a^{4} b^{2}}{\left(e x +d \right) e^{4}}+\frac{80 B \,a^{3} b^{3} d}{\left(e x +d \right) e^{5}}+\frac{20 B \,a^{3} b^{3} \ln \left(e x +d \right)}{e^{5}}-\frac{150 B \,a^{2} b^{4} d^{2}}{\left(e x +d \right) e^{6}}-\frac{75 B \,a^{2} b^{4} d \ln \left(e x +d \right)}{e^{6}}+\frac{15 B \,a^{2} b^{4} x}{e^{5}}+\frac{120 B a \,b^{5} d^{3}}{\left(e x +d \right) e^{7}}+\frac{90 B a \,b^{5} d^{2} \ln \left(e x +d \right)}{e^{7}}-\frac{30 B a \,b^{5} d x}{e^{6}}-\frac{35 B \,b^{6} d^{4}}{\left(e x +d \right) e^{8}}-\frac{35 B \,b^{6} d^{3} \ln \left(e x +d \right)}{e^{8}}+\frac{15 B \,b^{6} d^{2} x}{e^{7}}"," ",0,"-1/3/e^2/(e*x+d)^3*B*a^6-1/4/e/(e*x+d)^4*A*a^6+1/3*b^6/e^5*B*x^3+1/2*b^6/e^5*A*x^2+3*b^5/e^5*B*x^2*a-5/2*b^6/e^6*B*x^2*d+20*b^3/e^5*ln(e*x+d)*B*a^3-35*b^6/e^8*ln(e*x+d)*B*d^3-15/2*b^2/e^3/(e*x+d)^2*A*a^4-15/2*b^6/e^7/(e*x+d)^2*A*d^4-3*b/e^3/(e*x+d)^2*B*a^5+21/2*b^6/e^8/(e*x+d)^2*B*d^5-20*b^3/e^4/(e*x+d)*A*a^3+20*b^6/e^7/(e*x+d)*A*d^3-15*b^2/e^4/(e*x+d)*B*a^4-35*b^6/e^8/(e*x+d)*B*d^4-2/e^2/(e*x+d)^3*A*a^5*b+2/e^7/(e*x+d)^3*A*b^6*d^5-7/3/e^8/(e*x+d)^3*B*b^6*d^6-1/4/e^7/(e*x+d)^4*A*b^6*d^6+1/4/e^2/(e*x+d)^4*B*d*a^6+1/4/e^8/(e*x+d)^4*B*b^6*d^7+15*b^4/e^5*ln(e*x+d)*A*a^2-20/e^4/(e*x+d)^3*A*a^3*b^3*d^2+20/e^5/(e*x+d)^3*A*a^2*b^4*d^3-10/e^6/(e*x+d)^3*A*a*b^5*d^4+4/e^3/(e*x+d)^3*B*a^5*b*d-15/e^4/(e*x+d)^3*B*a^4*b^2*d^2+80/3/e^5/(e*x+d)^3*B*a^3*b^3*d^3-30*b^5/e^6*B*x*a*d+60*b^4/e^5/(e*x+d)*A*a^2*d-60*b^5/e^6/(e*x+d)*A*a*d^2+80*b^3/e^5/(e*x+d)*B*a^3*d-150*b^4/e^6/(e*x+d)*B*a^2*d^2+120*b^5/e^7/(e*x+d)*B*a*d^3+10/e^3/(e*x+d)^3*A*a^4*b^2*d-30*b^5/e^6*ln(e*x+d)*A*d*a-75*b^4/e^6*ln(e*x+d)*B*d*a^2+90*b^5/e^7*ln(e*x+d)*B*d^2*a+30*b^3/e^4/(e*x+d)^2*A*a^3*d-45*b^4/e^5/(e*x+d)^2*A*a^2*d^2+30*b^5/e^6/(e*x+d)^2*A*a*d^3+45/2*b^2/e^4/(e*x+d)^2*B*a^4*d-60*b^3/e^5/(e*x+d)^2*B*a^3*d^2+75*b^4/e^6/(e*x+d)^2*B*a^2*d^3-45*b^5/e^7/(e*x+d)^2*B*a*d^4-25/e^6/(e*x+d)^3*B*a^2*b^4*d^4+12/e^7/(e*x+d)^3*B*a*b^5*d^5+3/2/e^2/(e*x+d)^4*A*d*a^5*b-15/4/e^3/(e*x+d)^4*A*d^2*a^4*b^2+5/e^4/(e*x+d)^4*A*d^3*a^3*b^3+3/2/e^6/(e*x+d)^4*A*a*b^5*d^5-3/2/e^3/(e*x+d)^4*B*d^2*a^5*b+15/4/e^4/(e*x+d)^4*B*d^3*a^4*b^2-5/e^5/(e*x+d)^4*B*d^4*a^3*b^3+15/4/e^6/(e*x+d)^4*B*a^2*b^4*d^5-3/2/e^7/(e*x+d)^4*B*a*b^5*d^6-15/4/e^5/(e*x+d)^4*A*d^4*a^2*b^4+15*b^6/e^7*ln(e*x+d)*A*d^2+6*b^5/e^5*A*x*a-5*b^6/e^6*A*x*d+15*b^4/e^5*B*x*a^2+15*b^6/e^7*B*x*d^2","B"
1065,1,1202,264,0.017000," ","int((b*x+a)^6*(B*x+A)/(e*x+d)^6,x)","-\frac{A \,a^{6}}{5 \left(e x +d \right)^{5} e}+\frac{6 A \,a^{5} b d}{5 \left(e x +d \right)^{5} e^{2}}-\frac{3 A \,a^{4} b^{2} d^{2}}{\left(e x +d \right)^{5} e^{3}}+\frac{4 A \,a^{3} b^{3} d^{3}}{\left(e x +d \right)^{5} e^{4}}-\frac{3 A \,a^{2} b^{4} d^{4}}{\left(e x +d \right)^{5} e^{5}}+\frac{6 A a \,b^{5} d^{5}}{5 \left(e x +d \right)^{5} e^{6}}-\frac{A \,b^{6} d^{6}}{5 \left(e x +d \right)^{5} e^{7}}+\frac{B \,a^{6} d}{5 \left(e x +d \right)^{5} e^{2}}-\frac{6 B \,a^{5} b \,d^{2}}{5 \left(e x +d \right)^{5} e^{3}}+\frac{3 B \,a^{4} b^{2} d^{3}}{\left(e x +d \right)^{5} e^{4}}-\frac{4 B \,a^{3} b^{3} d^{4}}{\left(e x +d \right)^{5} e^{5}}+\frac{3 B \,a^{2} b^{4} d^{5}}{\left(e x +d \right)^{5} e^{6}}-\frac{6 B a \,b^{5} d^{6}}{5 \left(e x +d \right)^{5} e^{7}}+\frac{B \,b^{6} d^{7}}{5 \left(e x +d \right)^{5} e^{8}}-\frac{3 A \,a^{5} b}{2 \left(e x +d \right)^{4} e^{2}}+\frac{15 A \,a^{4} b^{2} d}{2 \left(e x +d \right)^{4} e^{3}}-\frac{15 A \,a^{3} b^{3} d^{2}}{\left(e x +d \right)^{4} e^{4}}+\frac{15 A \,a^{2} b^{4} d^{3}}{\left(e x +d \right)^{4} e^{5}}-\frac{15 A a \,b^{5} d^{4}}{2 \left(e x +d \right)^{4} e^{6}}+\frac{3 A \,b^{6} d^{5}}{2 \left(e x +d \right)^{4} e^{7}}-\frac{B \,a^{6}}{4 \left(e x +d \right)^{4} e^{2}}+\frac{3 B \,a^{5} b d}{\left(e x +d \right)^{4} e^{3}}-\frac{45 B \,a^{4} b^{2} d^{2}}{4 \left(e x +d \right)^{4} e^{4}}+\frac{20 B \,a^{3} b^{3} d^{3}}{\left(e x +d \right)^{4} e^{5}}-\frac{75 B \,a^{2} b^{4} d^{4}}{4 \left(e x +d \right)^{4} e^{6}}+\frac{9 B a \,b^{5} d^{5}}{\left(e x +d \right)^{4} e^{7}}-\frac{7 B \,b^{6} d^{6}}{4 \left(e x +d \right)^{4} e^{8}}-\frac{5 A \,a^{4} b^{2}}{\left(e x +d \right)^{3} e^{3}}+\frac{20 A \,a^{3} b^{3} d}{\left(e x +d \right)^{3} e^{4}}-\frac{30 A \,a^{2} b^{4} d^{2}}{\left(e x +d \right)^{3} e^{5}}+\frac{20 A a \,b^{5} d^{3}}{\left(e x +d \right)^{3} e^{6}}-\frac{5 A \,b^{6} d^{4}}{\left(e x +d \right)^{3} e^{7}}-\frac{2 B \,a^{5} b}{\left(e x +d \right)^{3} e^{3}}+\frac{15 B \,a^{4} b^{2} d}{\left(e x +d \right)^{3} e^{4}}-\frac{40 B \,a^{3} b^{3} d^{2}}{\left(e x +d \right)^{3} e^{5}}+\frac{50 B \,a^{2} b^{4} d^{3}}{\left(e x +d \right)^{3} e^{6}}-\frac{30 B a \,b^{5} d^{4}}{\left(e x +d \right)^{3} e^{7}}+\frac{7 B \,b^{6} d^{5}}{\left(e x +d \right)^{3} e^{8}}-\frac{10 A \,a^{3} b^{3}}{\left(e x +d \right)^{2} e^{4}}+\frac{30 A \,a^{2} b^{4} d}{\left(e x +d \right)^{2} e^{5}}-\frac{30 A a \,b^{5} d^{2}}{\left(e x +d \right)^{2} e^{6}}+\frac{10 A \,b^{6} d^{3}}{\left(e x +d \right)^{2} e^{7}}-\frac{15 B \,a^{4} b^{2}}{2 \left(e x +d \right)^{2} e^{4}}+\frac{40 B \,a^{3} b^{3} d}{\left(e x +d \right)^{2} e^{5}}-\frac{75 B \,a^{2} b^{4} d^{2}}{\left(e x +d \right)^{2} e^{6}}+\frac{60 B a \,b^{5} d^{3}}{\left(e x +d \right)^{2} e^{7}}-\frac{35 B \,b^{6} d^{4}}{2 \left(e x +d \right)^{2} e^{8}}+\frac{B \,b^{6} x^{2}}{2 e^{6}}-\frac{15 A \,a^{2} b^{4}}{\left(e x +d \right) e^{5}}+\frac{30 A a \,b^{5} d}{\left(e x +d \right) e^{6}}+\frac{6 A a \,b^{5} \ln \left(e x +d \right)}{e^{6}}-\frac{15 A \,b^{6} d^{2}}{\left(e x +d \right) e^{7}}-\frac{6 A \,b^{6} d \ln \left(e x +d \right)}{e^{7}}+\frac{A \,b^{6} x}{e^{6}}-\frac{20 B \,a^{3} b^{3}}{\left(e x +d \right) e^{5}}+\frac{75 B \,a^{2} b^{4} d}{\left(e x +d \right) e^{6}}+\frac{15 B \,a^{2} b^{4} \ln \left(e x +d \right)}{e^{6}}-\frac{90 B a \,b^{5} d^{2}}{\left(e x +d \right) e^{7}}-\frac{36 B a \,b^{5} d \ln \left(e x +d \right)}{e^{7}}+\frac{6 B a \,b^{5} x}{e^{6}}+\frac{35 B \,b^{6} d^{3}}{\left(e x +d \right) e^{8}}+\frac{21 B \,b^{6} d^{2} \ln \left(e x +d \right)}{e^{8}}-\frac{6 B \,b^{6} d x}{e^{7}}"," ",0,"-1/4/e^2/(e*x+d)^4*B*a^6-1/5/e/(e*x+d)^5*A*a^6+b^6/e^6*A*x-40*b^3/e^5/(e*x+d)^3*B*a^3*d^2+15/2/e^3/(e*x+d)^4*A*a^4*b^2*d-15/e^4/(e*x+d)^4*A*a^3*b^3*d^2+15/e^5/(e*x+d)^4*A*a^2*b^4*d^3-15/2/e^6/(e*x+d)^4*A*a*b^5*d^4+3/e^3/(e*x+d)^4*B*a^5*b*d-45/4/e^4/(e*x+d)^4*B*a^4*b^2*d^2+20/e^5/(e*x+d)^4*B*a^3*b^3*d^3+1/2*b^6*B*x^2/e^6-5*b^2/e^3/(e*x+d)^3*A*a^4-5*b^6/e^7/(e*x+d)^3*A*d^4-2*b/e^3/(e*x+d)^3*B*a^5+7*b^6/e^8/(e*x+d)^3*B*d^5-20*b^3/e^5/(e*x+d)*B*a^3+35*b^6/e^8/(e*x+d)*B*d^3-15*b^4/e^5/(e*x+d)*A*a^2-15*b^6/e^7/(e*x+d)*A*d^2+6*b^5/e^6*B*x*a-6*b^6/e^7*B*x*d-75/4/e^6/(e*x+d)^4*B*a^2*b^4*d^4+6/5/e^2/(e*x+d)^5*A*d*a^5*b-3/e^3/(e*x+d)^5*A*d^2*a^4*b^2+4/e^4/(e*x+d)^5*A*d^3*a^3*b^3-3/e^5/(e*x+d)^5*A*d^4*a^2*b^4+6/5/e^6/(e*x+d)^5*A*d^5*a*b^5-6/5/e^3/(e*x+d)^5*B*d^2*a^5*b+3/e^4/(e*x+d)^5*B*d^3*a^4*b^2-4/e^5/(e*x+d)^5*B*d^4*a^3*b^3+3/e^6/(e*x+d)^5*B*d^5*a^2*b^4-6/5/e^7/(e*x+d)^5*B*a*b^5*d^6-36*b^5/e^7*ln(e*x+d)*B*d*a+30*b^4/e^5/(e*x+d)^2*A*a^2*d-30*b^5/e^6/(e*x+d)^2*A*a*d^2+40*b^3/e^5/(e*x+d)^2*B*a^3*d-75*b^4/e^6/(e*x+d)^2*B*a^2*d^2+60*b^5/e^7/(e*x+d)^2*B*a*d^3+9/e^7/(e*x+d)^4*B*a*b^5*d^5-35/2*b^6/e^8/(e*x+d)^2*B*d^4-3/2/e^2/(e*x+d)^4*A*a^5*b+3/2/e^7/(e*x+d)^4*A*b^6*d^5-7/4/e^8/(e*x+d)^4*B*b^6*d^6-1/5/e^7/(e*x+d)^5*A*b^6*d^6+1/5/e^2/(e*x+d)^5*B*d*a^6+1/5/e^8/(e*x+d)^5*B*b^6*d^7+30*b^5/e^6/(e*x+d)*A*d*a+50*b^4/e^6/(e*x+d)^3*B*a^2*d^3-30*b^5/e^7/(e*x+d)^3*B*a*d^4-90*b^5/e^7/(e*x+d)*B*d^2*a+20*b^3/e^4/(e*x+d)^3*A*a^3*d+6*b^5/e^6*ln(e*x+d)*A*a-6*b^6/e^7*ln(e*x+d)*A*d+15*b^4/e^6*ln(e*x+d)*B*a^2+21*b^6/e^8*ln(e*x+d)*B*d^2-10*b^3/e^4/(e*x+d)^2*A*a^3+10*b^6/e^7/(e*x+d)^2*A*d^3-15/2*b^2/e^4/(e*x+d)^2*B*a^4-30*b^4/e^5/(e*x+d)^3*A*a^2*d^2+20*b^5/e^6/(e*x+d)^3*A*a*d^3+15*b^2/e^4/(e*x+d)^3*B*a^4*d+75*b^4/e^6/(e*x+d)*B*d*a^2","B"
1066,1,1217,268,0.014000," ","int((b*x+a)^6*(B*x+A)/(e*x+d)^7,x)","-\frac{A \,a^{6}}{6 \left(e x +d \right)^{6} e}+\frac{A \,a^{5} b d}{\left(e x +d \right)^{6} e^{2}}-\frac{5 A \,a^{4} b^{2} d^{2}}{2 \left(e x +d \right)^{6} e^{3}}+\frac{10 A \,a^{3} b^{3} d^{3}}{3 \left(e x +d \right)^{6} e^{4}}-\frac{5 A \,a^{2} b^{4} d^{4}}{2 \left(e x +d \right)^{6} e^{5}}+\frac{A a \,b^{5} d^{5}}{\left(e x +d \right)^{6} e^{6}}-\frac{A \,b^{6} d^{6}}{6 \left(e x +d \right)^{6} e^{7}}+\frac{B \,a^{6} d}{6 \left(e x +d \right)^{6} e^{2}}-\frac{B \,a^{5} b \,d^{2}}{\left(e x +d \right)^{6} e^{3}}+\frac{5 B \,a^{4} b^{2} d^{3}}{2 \left(e x +d \right)^{6} e^{4}}-\frac{10 B \,a^{3} b^{3} d^{4}}{3 \left(e x +d \right)^{6} e^{5}}+\frac{5 B \,a^{2} b^{4} d^{5}}{2 \left(e x +d \right)^{6} e^{6}}-\frac{B a \,b^{5} d^{6}}{\left(e x +d \right)^{6} e^{7}}+\frac{B \,b^{6} d^{7}}{6 \left(e x +d \right)^{6} e^{8}}-\frac{6 A \,a^{5} b}{5 \left(e x +d \right)^{5} e^{2}}+\frac{6 A \,a^{4} b^{2} d}{\left(e x +d \right)^{5} e^{3}}-\frac{12 A \,a^{3} b^{3} d^{2}}{\left(e x +d \right)^{5} e^{4}}+\frac{12 A \,a^{2} b^{4} d^{3}}{\left(e x +d \right)^{5} e^{5}}-\frac{6 A a \,b^{5} d^{4}}{\left(e x +d \right)^{5} e^{6}}+\frac{6 A \,b^{6} d^{5}}{5 \left(e x +d \right)^{5} e^{7}}-\frac{B \,a^{6}}{5 \left(e x +d \right)^{5} e^{2}}+\frac{12 B \,a^{5} b d}{5 \left(e x +d \right)^{5} e^{3}}-\frac{9 B \,a^{4} b^{2} d^{2}}{\left(e x +d \right)^{5} e^{4}}+\frac{16 B \,a^{3} b^{3} d^{3}}{\left(e x +d \right)^{5} e^{5}}-\frac{15 B \,a^{2} b^{4} d^{4}}{\left(e x +d \right)^{5} e^{6}}+\frac{36 B a \,b^{5} d^{5}}{5 \left(e x +d \right)^{5} e^{7}}-\frac{7 B \,b^{6} d^{6}}{5 \left(e x +d \right)^{5} e^{8}}-\frac{15 A \,a^{4} b^{2}}{4 \left(e x +d \right)^{4} e^{3}}+\frac{15 A \,a^{3} b^{3} d}{\left(e x +d \right)^{4} e^{4}}-\frac{45 A \,a^{2} b^{4} d^{2}}{2 \left(e x +d \right)^{4} e^{5}}+\frac{15 A a \,b^{5} d^{3}}{\left(e x +d \right)^{4} e^{6}}-\frac{15 A \,b^{6} d^{4}}{4 \left(e x +d \right)^{4} e^{7}}-\frac{3 B \,a^{5} b}{2 \left(e x +d \right)^{4} e^{3}}+\frac{45 B \,a^{4} b^{2} d}{4 \left(e x +d \right)^{4} e^{4}}-\frac{30 B \,a^{3} b^{3} d^{2}}{\left(e x +d \right)^{4} e^{5}}+\frac{75 B \,a^{2} b^{4} d^{3}}{2 \left(e x +d \right)^{4} e^{6}}-\frac{45 B a \,b^{5} d^{4}}{2 \left(e x +d \right)^{4} e^{7}}+\frac{21 B \,b^{6} d^{5}}{4 \left(e x +d \right)^{4} e^{8}}-\frac{20 A \,a^{3} b^{3}}{3 \left(e x +d \right)^{3} e^{4}}+\frac{20 A \,a^{2} b^{4} d}{\left(e x +d \right)^{3} e^{5}}-\frac{20 A a \,b^{5} d^{2}}{\left(e x +d \right)^{3} e^{6}}+\frac{20 A \,b^{6} d^{3}}{3 \left(e x +d \right)^{3} e^{7}}-\frac{5 B \,a^{4} b^{2}}{\left(e x +d \right)^{3} e^{4}}+\frac{80 B \,a^{3} b^{3} d}{3 \left(e x +d \right)^{3} e^{5}}-\frac{50 B \,a^{2} b^{4} d^{2}}{\left(e x +d \right)^{3} e^{6}}+\frac{40 B a \,b^{5} d^{3}}{\left(e x +d \right)^{3} e^{7}}-\frac{35 B \,b^{6} d^{4}}{3 \left(e x +d \right)^{3} e^{8}}-\frac{15 A \,a^{2} b^{4}}{2 \left(e x +d \right)^{2} e^{5}}+\frac{15 A a \,b^{5} d}{\left(e x +d \right)^{2} e^{6}}-\frac{15 A \,b^{6} d^{2}}{2 \left(e x +d \right)^{2} e^{7}}-\frac{10 B \,a^{3} b^{3}}{\left(e x +d \right)^{2} e^{5}}+\frac{75 B \,a^{2} b^{4} d}{2 \left(e x +d \right)^{2} e^{6}}-\frac{45 B a \,b^{5} d^{2}}{\left(e x +d \right)^{2} e^{7}}+\frac{35 B \,b^{6} d^{3}}{2 \left(e x +d \right)^{2} e^{8}}-\frac{6 A a \,b^{5}}{\left(e x +d \right) e^{6}}+\frac{6 A \,b^{6} d}{\left(e x +d \right) e^{7}}+\frac{A \,b^{6} \ln \left(e x +d \right)}{e^{7}}-\frac{15 B \,a^{2} b^{4}}{\left(e x +d \right) e^{6}}+\frac{36 B a \,b^{5} d}{\left(e x +d \right) e^{7}}+\frac{6 B a \,b^{5} \ln \left(e x +d \right)}{e^{7}}-\frac{21 B \,b^{6} d^{2}}{\left(e x +d \right) e^{8}}-\frac{7 B \,b^{6} d \ln \left(e x +d \right)}{e^{8}}+\frac{B \,b^{6} x}{e^{7}}"," ",0,"-1/5/e^2/(e*x+d)^5*B*a^6+b^6/e^7*ln(e*x+d)*A-1/6/e/(e*x+d)^6*A*a^6+b^6*B*x/e^7-45/2*b^4/e^5/(e*x+d)^4*A*a^2*d^2+15*b^5/e^6/(e*x+d)^4*A*a*d^3+5/2/e^4/(e*x+d)^6*B*d^3*a^4*b^2-10/3/e^5/(e*x+d)^6*B*d^4*a^3*b^3+5/2/e^6/(e*x+d)^6*B*d^5*a^2*b^4-1/e^7/(e*x+d)^6*B*d^6*a*b^5+1/e^2/(e*x+d)^6*A*d*a^5*b-5/2/e^3/(e*x+d)^6*A*d^2*a^4*b^2+10/3/e^4/(e*x+d)^6*A*d^3*a^3*b^3-5/2/e^5/(e*x+d)^6*A*d^4*a^2*b^4+1/e^6/(e*x+d)^6*A*d^5*a*b^5-20*b^5/e^6/(e*x+d)^3*A*a*d^2+80/3*b^3/e^5/(e*x+d)^3*B*a^3*d+75/2*b^4/e^6/(e*x+d)^2*B*d*a^2+45/4*b^2/e^4/(e*x+d)^4*B*a^4*d-1/e^3/(e*x+d)^6*B*d^2*a^5*b-45*b^5/e^7/(e*x+d)^2*B*d^2*a-6/e^6/(e*x+d)^5*A*a*b^5*d^4+12/5/e^3/(e*x+d)^5*B*a^5*b*d-9/e^4/(e*x+d)^5*B*a^4*b^2*d^2+16/e^5/(e*x+d)^5*B*a^3*b^3*d^3-15/e^6/(e*x+d)^5*B*a^2*b^4*d^4+36/5/e^7/(e*x+d)^5*B*a*b^5*d^5+15*b^5/e^6/(e*x+d)^2*A*d*a+36*b^5/e^7/(e*x+d)*B*a*d+20*b^4/e^5/(e*x+d)^3*A*a^2*d+12/e^5/(e*x+d)^5*A*a^2*b^4*d^3-12/e^4/(e*x+d)^5*A*a^3*b^3*d^2-6*b^5/e^6/(e*x+d)*A*a+6*b^6/e^7/(e*x+d)*A*d-30*b^3/e^5/(e*x+d)^4*B*a^3*d^2+75/2*b^4/e^6/(e*x+d)^4*B*a^2*d^3-45/2*b^5/e^7/(e*x+d)^4*B*a*d^4+6/e^3/(e*x+d)^5*A*a^4*b^2*d-50*b^4/e^6/(e*x+d)^3*B*a^2*d^2+40*b^5/e^7/(e*x+d)^3*B*a*d^3+15*b^3/e^4/(e*x+d)^4*A*a^3*d-10*b^3/e^5/(e*x+d)^2*B*a^3+35/2*b^6/e^8/(e*x+d)^2*B*d^3-1/6/e^7/(e*x+d)^6*A*d^6*b^6-15/2*b^4/e^5/(e*x+d)^2*A*a^2+20/3*b^6/e^7/(e*x+d)^3*A*d^3-5*b^2/e^4/(e*x+d)^3*B*a^4-35/3*b^6/e^8/(e*x+d)^3*B*d^4+6*b^5/e^7*ln(e*x+d)*B*a-7*b^6/e^8*ln(e*x+d)*B*d-6/5/e^2/(e*x+d)^5*A*a^5*b+6/5/e^7/(e*x+d)^5*A*b^6*d^5-7/5/e^8/(e*x+d)^5*B*b^6*d^6+1/6/e^2/(e*x+d)^6*B*d*a^6+1/6/e^8/(e*x+d)^6*B*b^6*d^7+21/4*b^6/e^8/(e*x+d)^4*B*d^5-15/4*b^2/e^3/(e*x+d)^4*A*a^4-15/4*b^6/e^7/(e*x+d)^4*A*d^4-3/2*b/e^3/(e*x+d)^4*B*a^5-15/2*b^6/e^7/(e*x+d)^2*A*d^2-15*b^4/e^6/(e*x+d)*B*a^2-21*b^6/e^8/(e*x+d)*B*d^2-20/3*b^3/e^4/(e*x+d)^3*A*a^3","B"
1067,1,1227,201,0.010000," ","int((b*x+a)^6*(B*x+A)/(e*x+d)^8,x)","-\frac{A \,a^{6}}{7 \left(e x +d \right)^{7} e}+\frac{6 A \,a^{5} b d}{7 \left(e x +d \right)^{7} e^{2}}-\frac{15 A \,a^{4} b^{2} d^{2}}{7 \left(e x +d \right)^{7} e^{3}}+\frac{20 A \,a^{3} b^{3} d^{3}}{7 \left(e x +d \right)^{7} e^{4}}-\frac{15 A \,a^{2} b^{4} d^{4}}{7 \left(e x +d \right)^{7} e^{5}}+\frac{6 A a \,b^{5} d^{5}}{7 \left(e x +d \right)^{7} e^{6}}-\frac{A \,b^{6} d^{6}}{7 \left(e x +d \right)^{7} e^{7}}+\frac{B \,a^{6} d}{7 \left(e x +d \right)^{7} e^{2}}-\frac{6 B \,a^{5} b \,d^{2}}{7 \left(e x +d \right)^{7} e^{3}}+\frac{15 B \,a^{4} b^{2} d^{3}}{7 \left(e x +d \right)^{7} e^{4}}-\frac{20 B \,a^{3} b^{3} d^{4}}{7 \left(e x +d \right)^{7} e^{5}}+\frac{15 B \,a^{2} b^{4} d^{5}}{7 \left(e x +d \right)^{7} e^{6}}-\frac{6 B a \,b^{5} d^{6}}{7 \left(e x +d \right)^{7} e^{7}}+\frac{B \,b^{6} d^{7}}{7 \left(e x +d \right)^{7} e^{8}}-\frac{A \,a^{5} b}{\left(e x +d \right)^{6} e^{2}}+\frac{5 A \,a^{4} b^{2} d}{\left(e x +d \right)^{6} e^{3}}-\frac{10 A \,a^{3} b^{3} d^{2}}{\left(e x +d \right)^{6} e^{4}}+\frac{10 A \,a^{2} b^{4} d^{3}}{\left(e x +d \right)^{6} e^{5}}-\frac{5 A a \,b^{5} d^{4}}{\left(e x +d \right)^{6} e^{6}}+\frac{A \,b^{6} d^{5}}{\left(e x +d \right)^{6} e^{7}}-\frac{B \,a^{6}}{6 \left(e x +d \right)^{6} e^{2}}+\frac{2 B \,a^{5} b d}{\left(e x +d \right)^{6} e^{3}}-\frac{15 B \,a^{4} b^{2} d^{2}}{2 \left(e x +d \right)^{6} e^{4}}+\frac{40 B \,a^{3} b^{3} d^{3}}{3 \left(e x +d \right)^{6} e^{5}}-\frac{25 B \,a^{2} b^{4} d^{4}}{2 \left(e x +d \right)^{6} e^{6}}+\frac{6 B a \,b^{5} d^{5}}{\left(e x +d \right)^{6} e^{7}}-\frac{7 B \,b^{6} d^{6}}{6 \left(e x +d \right)^{6} e^{8}}-\frac{3 A \,a^{4} b^{2}}{\left(e x +d \right)^{5} e^{3}}+\frac{12 A \,a^{3} b^{3} d}{\left(e x +d \right)^{5} e^{4}}-\frac{18 A \,a^{2} b^{4} d^{2}}{\left(e x +d \right)^{5} e^{5}}+\frac{12 A a \,b^{5} d^{3}}{\left(e x +d \right)^{5} e^{6}}-\frac{3 A \,b^{6} d^{4}}{\left(e x +d \right)^{5} e^{7}}-\frac{6 B \,a^{5} b}{5 \left(e x +d \right)^{5} e^{3}}+\frac{9 B \,a^{4} b^{2} d}{\left(e x +d \right)^{5} e^{4}}-\frac{24 B \,a^{3} b^{3} d^{2}}{\left(e x +d \right)^{5} e^{5}}+\frac{30 B \,a^{2} b^{4} d^{3}}{\left(e x +d \right)^{5} e^{6}}-\frac{18 B a \,b^{5} d^{4}}{\left(e x +d \right)^{5} e^{7}}+\frac{21 B \,b^{6} d^{5}}{5 \left(e x +d \right)^{5} e^{8}}-\frac{5 A \,a^{3} b^{3}}{\left(e x +d \right)^{4} e^{4}}+\frac{15 A \,a^{2} b^{4} d}{\left(e x +d \right)^{4} e^{5}}-\frac{15 A a \,b^{5} d^{2}}{\left(e x +d \right)^{4} e^{6}}+\frac{5 A \,b^{6} d^{3}}{\left(e x +d \right)^{4} e^{7}}-\frac{15 B \,a^{4} b^{2}}{4 \left(e x +d \right)^{4} e^{4}}+\frac{20 B \,a^{3} b^{3} d}{\left(e x +d \right)^{4} e^{5}}-\frac{75 B \,a^{2} b^{4} d^{2}}{2 \left(e x +d \right)^{4} e^{6}}+\frac{30 B a \,b^{5} d^{3}}{\left(e x +d \right)^{4} e^{7}}-\frac{35 B \,b^{6} d^{4}}{4 \left(e x +d \right)^{4} e^{8}}-\frac{5 A \,a^{2} b^{4}}{\left(e x +d \right)^{3} e^{5}}+\frac{10 A a \,b^{5} d}{\left(e x +d \right)^{3} e^{6}}-\frac{5 A \,b^{6} d^{2}}{\left(e x +d \right)^{3} e^{7}}-\frac{20 B \,a^{3} b^{3}}{3 \left(e x +d \right)^{3} e^{5}}+\frac{25 B \,a^{2} b^{4} d}{\left(e x +d \right)^{3} e^{6}}-\frac{30 B a \,b^{5} d^{2}}{\left(e x +d \right)^{3} e^{7}}+\frac{35 B \,b^{6} d^{3}}{3 \left(e x +d \right)^{3} e^{8}}-\frac{3 A a \,b^{5}}{\left(e x +d \right)^{2} e^{6}}+\frac{3 A \,b^{6} d}{\left(e x +d \right)^{2} e^{7}}-\frac{15 B \,a^{2} b^{4}}{2 \left(e x +d \right)^{2} e^{6}}+\frac{18 B a \,b^{5} d}{\left(e x +d \right)^{2} e^{7}}-\frac{21 B \,b^{6} d^{2}}{2 \left(e x +d \right)^{2} e^{8}}-\frac{A \,b^{6}}{\left(e x +d \right) e^{7}}-\frac{6 B a \,b^{5}}{\left(e x +d \right) e^{7}}+\frac{7 B \,b^{6} d}{\left(e x +d \right) e^{8}}+\frac{B \,b^{6} \ln \left(e x +d \right)}{e^{8}}"," ",0,"15*b^4/e^5/(e*x+d)^4*A*a^2*d-15*b^5/e^6/(e*x+d)^4*A*a*d^2+15/7/e^4/(e*x+d)^7*B*d^3*a^4*b^2-20/7/e^5/(e*x+d)^7*B*d^4*a^3*b^3+15/7/e^6/(e*x+d)^7*B*d^5*a^2*b^4-6/7/e^7/(e*x+d)^7*B*d^6*a*b^5-18*b^4/e^5/(e*x+d)^5*A*a^2*d^2+12*b^5/e^6/(e*x+d)^5*A*a*d^3+9*b^2/e^4/(e*x+d)^5*B*a^4*d-24*b^3/e^5/(e*x+d)^5*B*a^3*d^2+30*b^4/e^6/(e*x+d)^5*B*a^2*d^3-18*b^5/e^7/(e*x+d)^5*B*a*d^4+12*b^3/e^4/(e*x+d)^5*A*a^3*d+25*b^4/e^6/(e*x+d)^3*B*d*a^2-30*b^5/e^7/(e*x+d)^3*B*d^2*a+10*b^5/e^6/(e*x+d)^3*A*d*a+20*b^3/e^5/(e*x+d)^4*B*a^3*d-75/2*b^4/e^6/(e*x+d)^4*B*a^2*d^2+30*b^5/e^7/(e*x+d)^4*B*a*d^3+10/e^5/(e*x+d)^6*A*d^3*a^2*b^4-5/e^6/(e*x+d)^6*A*d^4*a*b^5+2/e^3/(e*x+d)^6*B*d*a^5*b-15/2/e^4/(e*x+d)^6*B*d^2*a^4*b^2+40/3/e^5/(e*x+d)^6*B*d^3*a^3*b^3-25/2/e^6/(e*x+d)^6*B*d^4*a^2*b^4+6/e^7/(e*x+d)^6*B*d^5*a*b^5+6/7/e^2/(e*x+d)^7*A*d*a^5*b-15/7/e^3/(e*x+d)^7*A*d^2*a^4*b^2+20/7/e^4/(e*x+d)^7*A*d^3*a^3*b^3-1/6/e^2/(e*x+d)^6*a^6*B-1/7/e/(e*x+d)^7*A*a^6-b^6/e^7/(e*x+d)*A-35/4*b^6/e^8/(e*x+d)^4*B*d^4-3*b^2/e^3/(e*x+d)^5*A*a^4-3*b^6/e^7/(e*x+d)^5*A*d^4+35/3*b^6/e^8/(e*x+d)^3*B*d^3-5*b^3/e^4/(e*x+d)^4*A*a^3+7*b^6/e^8/(e*x+d)*B*d+1/e^7/(e*x+d)^6*A*d^5*b^6-7/6/e^8/(e*x+d)^6*B*b^6*d^6-3*b^5/e^6/(e*x+d)^2*A*a+3*b^6/e^7/(e*x+d)^2*A*d-15/7/e^5/(e*x+d)^7*A*d^4*a^2*b^4+6/7/e^6/(e*x+d)^7*A*d^5*a*b^5-6/7/e^3/(e*x+d)^7*B*d^2*a^5*b+5/e^3/(e*x+d)^6*A*d*a^4*b^2-10/e^4/(e*x+d)^6*A*d^2*a^3*b^3+18*b^5/e^7/(e*x+d)^2*B*a*d-5*b^6/e^7/(e*x+d)^3*A*d^2-20/3*b^3/e^5/(e*x+d)^3*B*a^3+b^6*B*ln(e*x+d)/e^8-15/4*b^2/e^4/(e*x+d)^4*B*a^4+21/5*b^6/e^8/(e*x+d)^5*B*d^5-5*b^4/e^5/(e*x+d)^3*A*a^2-6*b^5/e^7/(e*x+d)*B*a+5*b^6/e^7/(e*x+d)^4*A*d^3-15/2*b^4/e^6/(e*x+d)^2*B*a^2-21/2*b^6/e^8/(e*x+d)^2*B*d^2-1/e^2/(e*x+d)^6*a^5*b*A-1/7/e^7/(e*x+d)^7*A*d^6*b^6+1/7/e^2/(e*x+d)^7*B*d*a^6+1/7/e^8/(e*x+d)^7*B*b^6*d^7-6/5*b/e^3/(e*x+d)^5*B*a^5","B"
1068,1,814,82,0.010000," ","int((b*x+a)^6*(B*x+A)/(e*x+d)^9,x)","-\frac{B \,b^{6}}{\left(e x +d \right) e^{8}}-\frac{\left(A b e +6 B a e -7 B b d \right) b^{5}}{2 \left(e x +d \right)^{2} e^{8}}-\frac{\left(2 A a b \,e^{2}-2 A d \,b^{2} e +5 B \,a^{2} e^{2}-12 B a b d e +7 B \,b^{2} d^{2}\right) b^{4}}{\left(e x +d \right)^{3} e^{8}}-\frac{5 \left(3 A \,a^{2} b \,e^{3}-6 A d a \,b^{2} e^{2}+3 A \,b^{3} d^{2} e +4 B \,a^{3} e^{3}-15 B d \,a^{2} b \,e^{2}+18 B a \,b^{2} d^{2} e -7 B \,b^{3} d^{3}\right) b^{3}}{4 \left(e x +d \right)^{4} e^{8}}-\frac{\left(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 +3 B \,a^{4} e^{4}-16 B \,a^{3} b d \,e^{3}+30 B \,a^{2} b^{2} d^{2} e^{2}-24 B a \,b^{3} d^{3} e +7 B \,b^{4} d^{4}\right) b^{2}}{\left(e x +d \right)^{5} e^{8}}-\frac{\left(5 A \,a^{4} b \,e^{5}-20 A \,a^{3} b^{2} d \,e^{4}+30 A \,a^{2} b^{3} d^{2} e^{3}-20 A a \,b^{4} d^{3} e^{2}+5 A \,b^{5} d^{4} e +2 B \,a^{5} e^{5}-15 B \,a^{4} b d \,e^{4}+40 B \,a^{3} b^{2} d^{2} e^{3}-50 B \,a^{2} b^{3} d^{3} e^{2}+30 B a \,b^{4} d^{4} e -7 B \,b^{5} d^{5}\right) b}{2 \left(e x +d \right)^{6} e^{8}}-\frac{A \,a^{6} e^{7}-6 A d \,a^{5} b \,e^{6}+15 A \,d^{2} a^{4} b^{2} e^{5}-20 A \,d^{3} a^{3} b^{3} e^{4}+15 A \,d^{4} a^{2} b^{4} e^{3}-6 A \,d^{5} a \,b^{5} e^{2}+A \,d^{6} b^{6} e -B d \,a^{6} e^{6}+6 B \,d^{2} a^{5} b \,e^{5}-15 B \,d^{3} a^{4} b^{2} e^{4}+20 B \,d^{4} a^{3} b^{3} e^{3}-15 B \,d^{5} a^{2} b^{4} e^{2}+6 B \,d^{6} a \,b^{5} e -B \,b^{6} d^{7}}{8 \left(e x +d \right)^{8} e^{8}}-\frac{6 a^{5} b A \,e^{6}-30 A d \,a^{4} b^{2} e^{5}+60 A \,d^{2} a^{3} b^{3} e^{4}-60 A \,d^{3} a^{2} b^{4} e^{3}+30 A \,d^{4} a \,b^{5} e^{2}-6 A \,d^{5} b^{6} e +a^{6} B \,e^{6}-12 B d \,a^{5} b \,e^{5}+45 B \,d^{2} a^{4} b^{2} e^{4}-80 B \,d^{3} a^{3} b^{3} e^{3}+75 B \,d^{4} a^{2} b^{4} e^{2}-36 B \,d^{5} a \,b^{5} e +7 B \,b^{6} d^{6}}{7 \left(e x +d \right)^{7} e^{8}}"," ",0,"-B*b^6/e^8/(e*x+d)-b^4*(2*A*a*b*e^2-2*A*b^2*d*e+5*B*a^2*e^2-12*B*a*b*d*e+7*B*b^2*d^2)/e^8/(e*x+d)^3-5/4*b^3*(3*A*a^2*b*e^3-6*A*a*b^2*d*e^2+3*A*b^3*d^2*e+4*B*a^3*e^3-15*B*a^2*b*d*e^2+18*B*a*b^2*d^2*e-7*B*b^3*d^3)/e^8/(e*x+d)^4-b^2*(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+3*B*a^4*e^4-16*B*a^3*b*d*e^3+30*B*a^2*b^2*d^2*e^2-24*B*a*b^3*d^3*e+7*B*b^4*d^4)/e^8/(e*x+d)^5-1/2*b^5*(A*b*e+6*B*a*e-7*B*b*d)/e^8/(e*x+d)^2-1/8*(A*a^6*e^7-6*A*a^5*b*d*e^6+15*A*a^4*b^2*d^2*e^5-20*A*a^3*b^3*d^3*e^4+15*A*a^2*b^4*d^4*e^3-6*A*a*b^5*d^5*e^2+A*b^6*d^6*e-B*a^6*d*e^6+6*B*a^5*b*d^2*e^5-15*B*a^4*b^2*d^3*e^4+20*B*a^3*b^3*d^4*e^3-15*B*a^2*b^4*d^5*e^2+6*B*a*b^5*d^6*e-B*b^6*d^7)/e^8/(e*x+d)^8-1/2*b*(5*A*a^4*b*e^5-20*A*a^3*b^2*d*e^4+30*A*a^2*b^3*d^2*e^3-20*A*a*b^4*d^3*e^2+5*A*b^5*d^4*e+2*B*a^5*e^5-15*B*a^4*b*d*e^4+40*B*a^3*b^2*d^2*e^3-50*B*a^2*b^3*d^3*e^2+30*B*a*b^4*d^4*e-7*B*b^5*d^5)/e^8/(e*x+d)^6-1/7*(6*A*a^5*b*e^6-30*A*a^4*b^2*d*e^5+60*A*a^3*b^3*d^2*e^4-60*A*a^2*b^4*d^3*e^3+30*A*a*b^5*d^4*e^2-6*A*b^6*d^5*e+B*a^6*e^6-12*B*a^5*b*d*e^5+45*B*a^4*b^2*d^2*e^4-80*B*a^3*b^3*d^3*e^3+75*B*a^2*b^4*d^4*e^2-36*B*a*b^5*d^5*e+7*B*b^6*d^6)/e^8/(e*x+d)^7","B"
1069,1,814,129,0.007000," ","int((b*x+a)^6*(B*x+A)/(e*x+d)^10,x)","-\frac{B \,b^{6}}{2 \left(e x +d \right)^{2} e^{8}}-\frac{\left(A b e +6 B a e -7 B b d \right) b^{5}}{3 \left(e x +d \right)^{3} e^{8}}-\frac{3 \left(2 A a b \,e^{2}-2 A d \,b^{2} e +5 B \,a^{2} e^{2}-12 B a b d e +7 B \,b^{2} d^{2}\right) b^{4}}{4 \left(e x +d \right)^{4} e^{8}}-\frac{\left(3 A \,a^{2} b \,e^{3}-6 A d a \,b^{2} e^{2}+3 A \,b^{3} d^{2} e +4 B \,a^{3} e^{3}-15 B d \,a^{2} b \,e^{2}+18 B a \,b^{2} d^{2} e -7 B \,b^{3} d^{3}\right) b^{3}}{\left(e x +d \right)^{5} e^{8}}-\frac{5 \left(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 +3 B \,a^{4} e^{4}-16 B \,a^{3} b d \,e^{3}+30 B \,a^{2} b^{2} d^{2} e^{2}-24 B a \,b^{3} d^{3} e +7 B \,b^{4} d^{4}\right) b^{2}}{6 \left(e x +d \right)^{6} e^{8}}-\frac{3 \left(5 A \,a^{4} b \,e^{5}-20 A \,a^{3} b^{2} d \,e^{4}+30 A \,a^{2} b^{3} d^{2} e^{3}-20 A a \,b^{4} d^{3} e^{2}+5 A \,b^{5} d^{4} e +2 B \,a^{5} e^{5}-15 B \,a^{4} b d \,e^{4}+40 B \,a^{3} b^{2} d^{2} e^{3}-50 B \,a^{2} b^{3} d^{3} e^{2}+30 B a \,b^{4} d^{4} e -7 B \,b^{5} d^{5}\right) b}{7 \left(e x +d \right)^{7} e^{8}}-\frac{6 a^{5} b A \,e^{6}-30 A d \,a^{4} b^{2} e^{5}+60 A \,d^{2} a^{3} b^{3} e^{4}-60 A \,d^{3} a^{2} b^{4} e^{3}+30 A \,d^{4} a \,b^{5} e^{2}-6 A \,d^{5} b^{6} e +a^{6} B \,e^{6}-12 B d \,a^{5} b \,e^{5}+45 B \,d^{2} a^{4} b^{2} e^{4}-80 B \,d^{3} a^{3} b^{3} e^{3}+75 B \,d^{4} a^{2} b^{4} e^{2}-36 B \,d^{5} a \,b^{5} e +7 B \,b^{6} d^{6}}{8 \left(e x +d \right)^{8} e^{8}}-\frac{A \,a^{6} e^{7}-6 A d \,a^{5} b \,e^{6}+15 A \,d^{2} a^{4} b^{2} e^{5}-20 A \,d^{3} a^{3} b^{3} e^{4}+15 A \,d^{4} a^{2} b^{4} e^{3}-6 A \,d^{5} a \,b^{5} e^{2}+A \,d^{6} b^{6} e -B d \,a^{6} e^{6}+6 B \,d^{2} a^{5} b \,e^{5}-15 B \,d^{3} a^{4} b^{2} e^{4}+20 B \,d^{4} a^{3} b^{3} e^{3}-15 B \,d^{5} a^{2} b^{4} e^{2}+6 B \,d^{6} a \,b^{5} e -B \,b^{6} d^{7}}{9 \left(e x +d \right)^{9} e^{8}}"," ",0,"-1/3*b^5*(A*b*e+6*B*a*e-7*B*b*d)/e^8/(e*x+d)^3-3/4*b^4*(2*A*a*b*e^2-2*A*b^2*d*e+5*B*a^2*e^2-12*B*a*b*d*e+7*B*b^2*d^2)/e^8/(e*x+d)^4-b^3*(3*A*a^2*b*e^3-6*A*a*b^2*d*e^2+3*A*b^3*d^2*e+4*B*a^3*e^3-15*B*a^2*b*d*e^2+18*B*a*b^2*d^2*e-7*B*b^3*d^3)/e^8/(e*x+d)^5-1/2*B*b^6/e^8/(e*x+d)^2-1/8*(6*A*a^5*b*e^6-30*A*a^4*b^2*d*e^5+60*A*a^3*b^3*d^2*e^4-60*A*a^2*b^4*d^3*e^3+30*A*a*b^5*d^4*e^2-6*A*b^6*d^5*e+B*a^6*e^6-12*B*a^5*b*d*e^5+45*B*a^4*b^2*d^2*e^4-80*B*a^3*b^3*d^3*e^3+75*B*a^2*b^4*d^4*e^2-36*B*a*b^5*d^5*e+7*B*b^6*d^6)/e^8/(e*x+d)^8-1/9*(A*a^6*e^7-6*A*a^5*b*d*e^6+15*A*a^4*b^2*d^2*e^5-20*A*a^3*b^3*d^3*e^4+15*A*a^2*b^4*d^4*e^3-6*A*a*b^5*d^5*e^2+A*b^6*d^6*e-B*a^6*d*e^6+6*B*a^5*b*d^2*e^5-15*B*a^4*b^2*d^3*e^4+20*B*a^3*b^3*d^4*e^3-15*B*a^2*b^4*d^5*e^2+6*B*a*b^5*d^6*e-B*b^6*d^7)/e^8/(e*x+d)^9-5/6*b^2*(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+3*B*a^4*e^4-16*B*a^3*b*d*e^3+30*B*a^2*b^2*d^2*e^2-24*B*a*b^3*d^3*e+7*B*b^4*d^4)/e^8/(e*x+d)^6-3/7*b*(5*A*a^4*b*e^5-20*A*a^3*b^2*d*e^4+30*A*a^2*b^3*d^2*e^3-20*A*a*b^4*d^3*e^2+5*A*b^5*d^4*e+2*B*a^5*e^5-15*B*a^4*b*d*e^4+40*B*a^3*b^2*d^2*e^3-50*B*a^2*b^3*d^3*e^2+30*B*a*b^4*d^4*e-7*B*b^5*d^5)/e^8/(e*x+d)^7","B"
1070,1,814,177,0.009000," ","int((b*x+a)^6*(B*x+A)/(e*x+d)^11,x)","-\frac{B \,b^{6}}{3 \left(e x +d \right)^{3} e^{8}}-\frac{\left(A b e +6 B a e -7 B b d \right) b^{5}}{4 \left(e x +d \right)^{4} e^{8}}-\frac{3 \left(2 A a b \,e^{2}-2 A d \,b^{2} e +5 B \,a^{2} e^{2}-12 B a b d e +7 B \,b^{2} d^{2}\right) b^{4}}{5 \left(e x +d \right)^{5} e^{8}}-\frac{5 \left(3 A \,a^{2} b \,e^{3}-6 A d a \,b^{2} e^{2}+3 A \,b^{3} d^{2} e +4 B \,a^{3} e^{3}-15 B d \,a^{2} b \,e^{2}+18 B a \,b^{2} d^{2} e -7 B \,b^{3} d^{3}\right) b^{3}}{6 \left(e x +d \right)^{6} e^{8}}-\frac{5 \left(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 +3 B \,a^{4} e^{4}-16 B \,a^{3} b d \,e^{3}+30 B \,a^{2} b^{2} d^{2} e^{2}-24 B a \,b^{3} d^{3} e +7 B \,b^{4} d^{4}\right) b^{2}}{7 \left(e x +d \right)^{7} e^{8}}-\frac{3 \left(5 A \,a^{4} b \,e^{5}-20 A \,a^{3} b^{2} d \,e^{4}+30 A \,a^{2} b^{3} d^{2} e^{3}-20 A a \,b^{4} d^{3} e^{2}+5 A \,b^{5} d^{4} e +2 B \,a^{5} e^{5}-15 B \,a^{4} b d \,e^{4}+40 B \,a^{3} b^{2} d^{2} e^{3}-50 B \,a^{2} b^{3} d^{3} e^{2}+30 B a \,b^{4} d^{4} e -7 B \,b^{5} d^{5}\right) b}{8 \left(e x +d \right)^{8} e^{8}}-\frac{A \,a^{6} e^{7}-6 A d \,a^{5} b \,e^{6}+15 A \,d^{2} a^{4} b^{2} e^{5}-20 A \,d^{3} a^{3} b^{3} e^{4}+15 A \,d^{4} a^{2} b^{4} e^{3}-6 A \,d^{5} a \,b^{5} e^{2}+A \,d^{6} b^{6} e -B d \,a^{6} e^{6}+6 B \,d^{2} a^{5} b \,e^{5}-15 B \,d^{3} a^{4} b^{2} e^{4}+20 B \,d^{4} a^{3} b^{3} e^{3}-15 B \,d^{5} a^{2} b^{4} e^{2}+6 B \,d^{6} a \,b^{5} e -B \,b^{6} d^{7}}{10 \left(e x +d \right)^{10} e^{8}}-\frac{6 a^{5} b A \,e^{6}-30 A d \,a^{4} b^{2} e^{5}+60 A \,d^{2} a^{3} b^{3} e^{4}-60 A \,d^{3} a^{2} b^{4} e^{3}+30 A \,d^{4} a \,b^{5} e^{2}-6 A \,d^{5} b^{6} e +a^{6} B \,e^{6}-12 B d \,a^{5} b \,e^{5}+45 B \,d^{2} a^{4} b^{2} e^{4}-80 B \,d^{3} a^{3} b^{3} e^{3}+75 B \,d^{4} a^{2} b^{4} e^{2}-36 B \,d^{5} a \,b^{5} e +7 B \,b^{6} d^{6}}{9 \left(e x +d \right)^{9} e^{8}}"," ",0,"-1/3*B*b^6/e^8/(e*x+d)^3-1/4*b^5*(A*b*e+6*B*a*e-7*B*b*d)/e^8/(e*x+d)^4-3/5*b^4*(2*A*a*b*e^2-2*A*b^2*d*e+5*B*a^2*e^2-12*B*a*b*d*e+7*B*b^2*d^2)/e^8/(e*x+d)^5-3/8*b*(5*A*a^4*b*e^5-20*A*a^3*b^2*d*e^4+30*A*a^2*b^3*d^2*e^3-20*A*a*b^4*d^3*e^2+5*A*b^5*d^4*e+2*B*a^5*e^5-15*B*a^4*b*d*e^4+40*B*a^3*b^2*d^2*e^3-50*B*a^2*b^3*d^3*e^2+30*B*a*b^4*d^4*e-7*B*b^5*d^5)/e^8/(e*x+d)^8-1/10*(A*a^6*e^7-6*A*a^5*b*d*e^6+15*A*a^4*b^2*d^2*e^5-20*A*a^3*b^3*d^3*e^4+15*A*a^2*b^4*d^4*e^3-6*A*a*b^5*d^5*e^2+A*b^6*d^6*e-B*a^6*d*e^6+6*B*a^5*b*d^2*e^5-15*B*a^4*b^2*d^3*e^4+20*B*a^3*b^3*d^4*e^3-15*B*a^2*b^4*d^5*e^2+6*B*a*b^5*d^6*e-B*b^6*d^7)/e^8/(e*x+d)^10-1/9*(6*A*a^5*b*e^6-30*A*a^4*b^2*d*e^5+60*A*a^3*b^3*d^2*e^4-60*A*a^2*b^4*d^3*e^3+30*A*a*b^5*d^4*e^2-6*A*b^6*d^5*e+B*a^6*e^6-12*B*a^5*b*d*e^5+45*B*a^4*b^2*d^2*e^4-80*B*a^3*b^3*d^3*e^3+75*B*a^2*b^4*d^4*e^2-36*B*a*b^5*d^5*e+7*B*b^6*d^6)/e^8/(e*x+d)^9-5/6*b^3*(3*A*a^2*b*e^3-6*A*a*b^2*d*e^2+3*A*b^3*d^2*e+4*B*a^3*e^3-15*B*a^2*b*d*e^2+18*B*a*b^2*d^2*e-7*B*b^3*d^3)/e^8/(e*x+d)^6-5/7*b^2*(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+3*B*a^4*e^4-16*B*a^3*b*d*e^3+30*B*a^2*b^2*d^2*e^2-24*B*a*b^3*d^3*e+7*B*b^4*d^4)/e^8/(e*x+d)^7","B"
1071,1,814,225,0.008000," ","int((b*x+a)^6*(B*x+A)/(e*x+d)^12,x)","-\frac{B \,b^{6}}{4 \left(e x +d \right)^{4} e^{8}}-\frac{\left(A b e +6 B a e -7 B b d \right) b^{5}}{5 \left(e x +d \right)^{5} e^{8}}-\frac{\left(2 A a b \,e^{2}-2 A d \,b^{2} e +5 B \,a^{2} e^{2}-12 B a b d e +7 B \,b^{2} d^{2}\right) b^{4}}{2 \left(e x +d \right)^{6} e^{8}}-\frac{5 \left(3 A \,a^{2} b \,e^{3}-6 A d a \,b^{2} e^{2}+3 A \,b^{3} d^{2} e +4 B \,a^{3} e^{3}-15 B d \,a^{2} b \,e^{2}+18 B a \,b^{2} d^{2} e -7 B \,b^{3} d^{3}\right) b^{3}}{7 \left(e x +d \right)^{7} e^{8}}-\frac{5 \left(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 +3 B \,a^{4} e^{4}-16 B \,a^{3} b d \,e^{3}+30 B \,a^{2} b^{2} d^{2} e^{2}-24 B a \,b^{3} d^{3} e +7 B \,b^{4} d^{4}\right) b^{2}}{8 \left(e x +d \right)^{8} e^{8}}-\frac{\left(5 A \,a^{4} b \,e^{5}-20 A \,a^{3} b^{2} d \,e^{4}+30 A \,a^{2} b^{3} d^{2} e^{3}-20 A a \,b^{4} d^{3} e^{2}+5 A \,b^{5} d^{4} e +2 B \,a^{5} e^{5}-15 B \,a^{4} b d \,e^{4}+40 B \,a^{3} b^{2} d^{2} e^{3}-50 B \,a^{2} b^{3} d^{3} e^{2}+30 B a \,b^{4} d^{4} e -7 B \,b^{5} d^{5}\right) b}{3 \left(e x +d \right)^{9} e^{8}}-\frac{A \,a^{6} e^{7}-6 A d \,a^{5} b \,e^{6}+15 A \,d^{2} a^{4} b^{2} e^{5}-20 A \,d^{3} a^{3} b^{3} e^{4}+15 A \,d^{4} a^{2} b^{4} e^{3}-6 A \,d^{5} a \,b^{5} e^{2}+A \,d^{6} b^{6} e -B d \,a^{6} e^{6}+6 B \,d^{2} a^{5} b \,e^{5}-15 B \,d^{3} a^{4} b^{2} e^{4}+20 B \,d^{4} a^{3} b^{3} e^{3}-15 B \,d^{5} a^{2} b^{4} e^{2}+6 B \,d^{6} a \,b^{5} e -B \,b^{6} d^{7}}{11 \left(e x +d \right)^{11} e^{8}}-\frac{6 a^{5} b A \,e^{6}-30 A d \,a^{4} b^{2} e^{5}+60 A \,d^{2} a^{3} b^{3} e^{4}-60 A \,d^{3} a^{2} b^{4} e^{3}+30 A \,d^{4} a \,b^{5} e^{2}-6 A \,d^{5} b^{6} e +a^{6} B \,e^{6}-12 B d \,a^{5} b \,e^{5}+45 B \,d^{2} a^{4} b^{2} e^{4}-80 B \,d^{3} a^{3} b^{3} e^{3}+75 B \,d^{4} a^{2} b^{4} e^{2}-36 B \,d^{5} a \,b^{5} e +7 B \,b^{6} d^{6}}{10 \left(e x +d \right)^{10} e^{8}}"," ",0,"-1/4*B*b^6/e^8/(e*x+d)^4-1/5*b^5*(A*b*e+6*B*a*e-7*B*b*d)/e^8/(e*x+d)^5-5/8*b^2*(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+3*B*a^4*e^4-16*B*a^3*b*d*e^3+30*B*a^2*b^2*d^2*e^2-24*B*a*b^3*d^3*e+7*B*b^4*d^4)/e^8/(e*x+d)^8-1/11*(A*a^6*e^7-6*A*a^5*b*d*e^6+15*A*a^4*b^2*d^2*e^5-20*A*a^3*b^3*d^3*e^4+15*A*a^2*b^4*d^4*e^3-6*A*a*b^5*d^5*e^2+A*b^6*d^6*e-B*a^6*d*e^6+6*B*a^5*b*d^2*e^5-15*B*a^4*b^2*d^3*e^4+20*B*a^3*b^3*d^4*e^3-15*B*a^2*b^4*d^5*e^2+6*B*a*b^5*d^6*e-B*b^6*d^7)/e^8/(e*x+d)^11-1/10*(6*A*a^5*b*e^6-30*A*a^4*b^2*d*e^5+60*A*a^3*b^3*d^2*e^4-60*A*a^2*b^4*d^3*e^3+30*A*a*b^5*d^4*e^2-6*A*b^6*d^5*e+B*a^6*e^6-12*B*a^5*b*d*e^5+45*B*a^4*b^2*d^2*e^4-80*B*a^3*b^3*d^3*e^3+75*B*a^2*b^4*d^4*e^2-36*B*a*b^5*d^5*e+7*B*b^6*d^6)/e^8/(e*x+d)^10-1/3*b*(5*A*a^4*b*e^5-20*A*a^3*b^2*d*e^4+30*A*a^2*b^3*d^2*e^3-20*A*a*b^4*d^3*e^2+5*A*b^5*d^4*e+2*B*a^5*e^5-15*B*a^4*b*d*e^4+40*B*a^3*b^2*d^2*e^3-50*B*a^2*b^3*d^3*e^2+30*B*a*b^4*d^4*e-7*B*b^5*d^5)/e^8/(e*x+d)^9-1/2*b^4*(2*A*a*b*e^2-2*A*b^2*d*e+5*B*a^2*e^2-12*B*a*b*d*e+7*B*b^2*d^2)/e^8/(e*x+d)^6-5/7*b^3*(3*A*a^2*b*e^3-6*A*a*b^2*d*e^2+3*A*b^3*d^2*e+4*B*a^3*e^3-15*B*a^2*b*d*e^2+18*B*a*b^2*d^2*e-7*B*b^3*d^3)/e^8/(e*x+d)^7","B"
1072,1,814,276,0.008000," ","int((b*x+a)^6*(B*x+A)/(e*x+d)^13,x)","-\frac{B \,b^{6}}{5 \left(e x +d \right)^{5} e^{8}}-\frac{\left(A b e +6 B a e -7 B b d \right) b^{5}}{6 \left(e x +d \right)^{6} e^{8}}-\frac{3 \left(2 A a b \,e^{2}-2 A d \,b^{2} e +5 B \,a^{2} e^{2}-12 B a b d e +7 B \,b^{2} d^{2}\right) b^{4}}{7 \left(e x +d \right)^{7} e^{8}}-\frac{5 \left(3 A \,a^{2} b \,e^{3}-6 A d a \,b^{2} e^{2}+3 A \,b^{3} d^{2} e +4 B \,a^{3} e^{3}-15 B d \,a^{2} b \,e^{2}+18 B a \,b^{2} d^{2} e -7 B \,b^{3} d^{3}\right) b^{3}}{8 \left(e x +d \right)^{8} e^{8}}-\frac{5 \left(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 +3 B \,a^{4} e^{4}-16 B \,a^{3} b d \,e^{3}+30 B \,a^{2} b^{2} d^{2} e^{2}-24 B a \,b^{3} d^{3} e +7 B \,b^{4} d^{4}\right) b^{2}}{9 \left(e x +d \right)^{9} e^{8}}-\frac{3 \left(5 A \,a^{4} b \,e^{5}-20 A \,a^{3} b^{2} d \,e^{4}+30 A \,a^{2} b^{3} d^{2} e^{3}-20 A a \,b^{4} d^{3} e^{2}+5 A \,b^{5} d^{4} e +2 B \,a^{5} e^{5}-15 B \,a^{4} b d \,e^{4}+40 B \,a^{3} b^{2} d^{2} e^{3}-50 B \,a^{2} b^{3} d^{3} e^{2}+30 B a \,b^{4} d^{4} e -7 B \,b^{5} d^{5}\right) b}{10 \left(e x +d \right)^{10} e^{8}}-\frac{A \,a^{6} e^{7}-6 A d \,a^{5} b \,e^{6}+15 A \,d^{2} a^{4} b^{2} e^{5}-20 A \,d^{3} a^{3} b^{3} e^{4}+15 A \,d^{4} a^{2} b^{4} e^{3}-6 A \,d^{5} a \,b^{5} e^{2}+A \,d^{6} b^{6} e -B d \,a^{6} e^{6}+6 B \,d^{2} a^{5} b \,e^{5}-15 B \,d^{3} a^{4} b^{2} e^{4}+20 B \,d^{4} a^{3} b^{3} e^{3}-15 B \,d^{5} a^{2} b^{4} e^{2}+6 B \,d^{6} a \,b^{5} e -B \,b^{6} d^{7}}{12 \left(e x +d \right)^{12} e^{8}}-\frac{6 a^{5} b A \,e^{6}-30 A d \,a^{4} b^{2} e^{5}+60 A \,d^{2} a^{3} b^{3} e^{4}-60 A \,d^{3} a^{2} b^{4} e^{3}+30 A \,d^{4} a \,b^{5} e^{2}-6 A \,d^{5} b^{6} e +a^{6} B \,e^{6}-12 B d \,a^{5} b \,e^{5}+45 B \,d^{2} a^{4} b^{2} e^{4}-80 B \,d^{3} a^{3} b^{3} e^{3}+75 B \,d^{4} a^{2} b^{4} e^{2}-36 B \,d^{5} a \,b^{5} e +7 B \,b^{6} d^{6}}{11 \left(e x +d \right)^{11} e^{8}}"," ",0,"-1/5*b^6*B/e^8/(e*x+d)^5-5/8*b^3*(3*A*a^2*b*e^3-6*A*a*b^2*d*e^2+3*A*b^3*d^2*e+4*B*a^3*e^3-15*B*a^2*b*d*e^2+18*B*a*b^2*d^2*e-7*B*b^3*d^3)/e^8/(e*x+d)^8-1/12*(A*a^6*e^7-6*A*a^5*b*d*e^6+15*A*a^4*b^2*d^2*e^5-20*A*a^3*b^3*d^3*e^4+15*A*a^2*b^4*d^4*e^3-6*A*a*b^5*d^5*e^2+A*b^6*d^6*e-B*a^6*d*e^6+6*B*a^5*b*d^2*e^5-15*B*a^4*b^2*d^3*e^4+20*B*a^3*b^3*d^4*e^3-15*B*a^2*b^4*d^5*e^2+6*B*a*b^5*d^6*e-B*b^6*d^7)/e^8/(e*x+d)^12-1/11*(6*A*a^5*b*e^6-30*A*a^4*b^2*d*e^5+60*A*a^3*b^3*d^2*e^4-60*A*a^2*b^4*d^3*e^3+30*A*a*b^5*d^4*e^2-6*A*b^6*d^5*e+B*a^6*e^6-12*B*a^5*b*d*e^5+45*B*a^4*b^2*d^2*e^4-80*B*a^3*b^3*d^3*e^3+75*B*a^2*b^4*d^4*e^2-36*B*a*b^5*d^5*e+7*B*b^6*d^6)/e^8/(e*x+d)^11-3/10*b*(5*A*a^4*b*e^5-20*A*a^3*b^2*d*e^4+30*A*a^2*b^3*d^2*e^3-20*A*a*b^4*d^3*e^2+5*A*b^5*d^4*e+2*B*a^5*e^5-15*B*a^4*b*d*e^4+40*B*a^3*b^2*d^2*e^3-50*B*a^2*b^3*d^3*e^2+30*B*a*b^4*d^4*e-7*B*b^5*d^5)/e^8/(e*x+d)^10-5/9*b^2*(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+3*B*a^4*e^4-16*B*a^3*b*d*e^3+30*B*a^2*b^2*d^2*e^2-24*B*a*b^3*d^3*e+7*B*b^4*d^4)/e^8/(e*x+d)^9-1/6*b^5*(A*b*e+6*B*a*e-7*B*b*d)/e^8/(e*x+d)^6-3/7*b^4*(2*A*a*b*e^2-2*A*b^2*d*e+5*B*a^2*e^2-12*B*a*b*d*e+7*B*b^2*d^2)/e^8/(e*x+d)^7","B"
1073,1,814,276,0.009000," ","int((b*x+a)^6*(B*x+A)/(e*x+d)^14,x)","-\frac{B \,b^{6}}{6 \left(e x +d \right)^{6} e^{8}}-\frac{\left(A b e +6 B a e -7 B b d \right) b^{5}}{7 \left(e x +d \right)^{7} e^{8}}-\frac{3 \left(2 A a b \,e^{2}-2 A d \,b^{2} e +5 B \,a^{2} e^{2}-12 B a b d e +7 B \,b^{2} d^{2}\right) b^{4}}{8 \left(e x +d \right)^{8} e^{8}}-\frac{5 \left(3 A \,a^{2} b \,e^{3}-6 A d a \,b^{2} e^{2}+3 A \,b^{3} d^{2} e +4 B \,a^{3} e^{3}-15 B d \,a^{2} b \,e^{2}+18 B a \,b^{2} d^{2} e -7 B \,b^{3} d^{3}\right) b^{3}}{9 \left(e x +d \right)^{9} e^{8}}-\frac{\left(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 +3 B \,a^{4} e^{4}-16 B \,a^{3} b d \,e^{3}+30 B \,a^{2} b^{2} d^{2} e^{2}-24 B a \,b^{3} d^{3} e +7 B \,b^{4} d^{4}\right) b^{2}}{2 \left(e x +d \right)^{10} e^{8}}-\frac{3 \left(5 A \,a^{4} b \,e^{5}-20 A \,a^{3} b^{2} d \,e^{4}+30 A \,a^{2} b^{3} d^{2} e^{3}-20 A a \,b^{4} d^{3} e^{2}+5 A \,b^{5} d^{4} e +2 B \,a^{5} e^{5}-15 B \,a^{4} b d \,e^{4}+40 B \,a^{3} b^{2} d^{2} e^{3}-50 B \,a^{2} b^{3} d^{3} e^{2}+30 B a \,b^{4} d^{4} e -7 B \,b^{5} d^{5}\right) b}{11 \left(e x +d \right)^{11} e^{8}}-\frac{A \,a^{6} e^{7}-6 A d \,a^{5} b \,e^{6}+15 A \,d^{2} a^{4} b^{2} e^{5}-20 A \,d^{3} a^{3} b^{3} e^{4}+15 A \,d^{4} a^{2} b^{4} e^{3}-6 A \,d^{5} a \,b^{5} e^{2}+A \,d^{6} b^{6} e -B d \,a^{6} e^{6}+6 B \,d^{2} a^{5} b \,e^{5}-15 B \,d^{3} a^{4} b^{2} e^{4}+20 B \,d^{4} a^{3} b^{3} e^{3}-15 B \,d^{5} a^{2} b^{4} e^{2}+6 B \,d^{6} a \,b^{5} e -B \,b^{6} d^{7}}{13 \left(e x +d \right)^{13} e^{8}}-\frac{6 a^{5} b A \,e^{6}-30 A d \,a^{4} b^{2} e^{5}+60 A \,d^{2} a^{3} b^{3} e^{4}-60 A \,d^{3} a^{2} b^{4} e^{3}+30 A \,d^{4} a \,b^{5} e^{2}-6 A \,d^{5} b^{6} e +a^{6} B \,e^{6}-12 B d \,a^{5} b \,e^{5}+45 B \,d^{2} a^{4} b^{2} e^{4}-80 B \,d^{3} a^{3} b^{3} e^{3}+75 B \,d^{4} a^{2} b^{4} e^{2}-36 B \,d^{5} a \,b^{5} e +7 B \,b^{6} d^{6}}{12 \left(e x +d \right)^{12} e^{8}}"," ",0,"-1/13*(A*a^6*e^7-6*A*a^5*b*d*e^6+15*A*a^4*b^2*d^2*e^5-20*A*a^3*b^3*d^3*e^4+15*A*a^2*b^4*d^4*e^3-6*A*a*b^5*d^5*e^2+A*b^6*d^6*e-B*a^6*d*e^6+6*B*a^5*b*d^2*e^5-15*B*a^4*b^2*d^3*e^4+20*B*a^3*b^3*d^4*e^3-15*B*a^2*b^4*d^5*e^2+6*B*a*b^5*d^6*e-B*b^6*d^7)/e^8/(e*x+d)^13-3/8*b^4*(2*A*a*b*e^2-2*A*b^2*d*e+5*B*a^2*e^2-12*B*a*b*d*e+7*B*b^2*d^2)/e^8/(e*x+d)^8-1/12*(6*A*a^5*b*e^6-30*A*a^4*b^2*d*e^5+60*A*a^3*b^3*d^2*e^4-60*A*a^2*b^4*d^3*e^3+30*A*a*b^5*d^4*e^2-6*A*b^6*d^5*e+B*a^6*e^6-12*B*a^5*b*d*e^5+45*B*a^4*b^2*d^2*e^4-80*B*a^3*b^3*d^3*e^3+75*B*a^2*b^4*d^4*e^2-36*B*a*b^5*d^5*e+7*B*b^6*d^6)/e^8/(e*x+d)^12-3/11*b*(5*A*a^4*b*e^5-20*A*a^3*b^2*d*e^4+30*A*a^2*b^3*d^2*e^3-20*A*a*b^4*d^3*e^2+5*A*b^5*d^4*e+2*B*a^5*e^5-15*B*a^4*b*d*e^4+40*B*a^3*b^2*d^2*e^3-50*B*a^2*b^3*d^3*e^2+30*B*a*b^4*d^4*e-7*B*b^5*d^5)/e^8/(e*x+d)^11-1/2*b^2*(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+3*B*a^4*e^4-16*B*a^3*b*d*e^3+30*B*a^2*b^2*d^2*e^2-24*B*a*b^3*d^3*e+7*B*b^4*d^4)/e^8/(e*x+d)^10-5/9*b^3*(3*A*a^2*b*e^3-6*A*a*b^2*d*e^2+3*A*b^3*d^2*e+4*B*a^3*e^3-15*B*a^2*b*d*e^2+18*B*a*b^2*d^2*e-7*B*b^3*d^3)/e^8/(e*x+d)^9-1/6*b^6*B/e^8/(e*x+d)^6-1/7*b^5*(A*b*e+6*B*a*e-7*B*b*d)/e^8/(e*x+d)^7","B"
1074,1,814,276,0.007000," ","int((b*x+a)^6*(B*x+A)/(e*x+d)^15,x)","-\frac{B \,b^{6}}{7 \left(e x +d \right)^{7} e^{8}}-\frac{\left(A b e +6 B a e -7 B b d \right) b^{5}}{8 \left(e x +d \right)^{8} e^{8}}-\frac{\left(2 A a b \,e^{2}-2 A d \,b^{2} e +5 B \,a^{2} e^{2}-12 B a b d e +7 B \,b^{2} d^{2}\right) b^{4}}{3 \left(e x +d \right)^{9} e^{8}}-\frac{\left(3 A \,a^{2} b \,e^{3}-6 A d a \,b^{2} e^{2}+3 A \,b^{3} d^{2} e +4 B \,a^{3} e^{3}-15 B d \,a^{2} b \,e^{2}+18 B a \,b^{2} d^{2} e -7 B \,b^{3} d^{3}\right) b^{3}}{2 \left(e x +d \right)^{10} e^{8}}-\frac{5 \left(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 +3 B \,a^{4} e^{4}-16 B \,a^{3} b d \,e^{3}+30 B \,a^{2} b^{2} d^{2} e^{2}-24 B a \,b^{3} d^{3} e +7 B \,b^{4} d^{4}\right) b^{2}}{11 \left(e x +d \right)^{11} e^{8}}-\frac{\left(5 A \,a^{4} b \,e^{5}-20 A \,a^{3} b^{2} d \,e^{4}+30 A \,a^{2} b^{3} d^{2} e^{3}-20 A a \,b^{4} d^{3} e^{2}+5 A \,b^{5} d^{4} e +2 B \,a^{5} e^{5}-15 B \,a^{4} b d \,e^{4}+40 B \,a^{3} b^{2} d^{2} e^{3}-50 B \,a^{2} b^{3} d^{3} e^{2}+30 B a \,b^{4} d^{4} e -7 B \,b^{5} d^{5}\right) b}{4 \left(e x +d \right)^{12} e^{8}}-\frac{6 a^{5} b A \,e^{6}-30 A d \,a^{4} b^{2} e^{5}+60 A \,d^{2} a^{3} b^{3} e^{4}-60 A \,d^{3} a^{2} b^{4} e^{3}+30 A \,d^{4} a \,b^{5} e^{2}-6 A \,d^{5} b^{6} e +a^{6} B \,e^{6}-12 B d \,a^{5} b \,e^{5}+45 B \,d^{2} a^{4} b^{2} e^{4}-80 B \,d^{3} a^{3} b^{3} e^{3}+75 B \,d^{4} a^{2} b^{4} e^{2}-36 B \,d^{5} a \,b^{5} e +7 B \,b^{6} d^{6}}{13 \left(e x +d \right)^{13} e^{8}}-\frac{A \,a^{6} e^{7}-6 A d \,a^{5} b \,e^{6}+15 A \,d^{2} a^{4} b^{2} e^{5}-20 A \,d^{3} a^{3} b^{3} e^{4}+15 A \,d^{4} a^{2} b^{4} e^{3}-6 A \,d^{5} a \,b^{5} e^{2}+A \,d^{6} b^{6} e -B d \,a^{6} e^{6}+6 B \,d^{2} a^{5} b \,e^{5}-15 B \,d^{3} a^{4} b^{2} e^{4}+20 B \,d^{4} a^{3} b^{3} e^{3}-15 B \,d^{5} a^{2} b^{4} e^{2}+6 B \,d^{6} a \,b^{5} e -B \,b^{6} d^{7}}{14 \left(e x +d \right)^{14} e^{8}}"," ",0,"-1/13*(6*A*a^5*b*e^6-30*A*a^4*b^2*d*e^5+60*A*a^3*b^3*d^2*e^4-60*A*a^2*b^4*d^3*e^3+30*A*a*b^5*d^4*e^2-6*A*b^6*d^5*e+B*a^6*e^6-12*B*a^5*b*d*e^5+45*B*a^4*b^2*d^2*e^4-80*B*a^3*b^3*d^3*e^3+75*B*a^2*b^4*d^4*e^2-36*B*a*b^5*d^5*e+7*B*b^6*d^6)/e^8/(e*x+d)^13-1/14*(A*a^6*e^7-6*A*a^5*b*d*e^6+15*A*a^4*b^2*d^2*e^5-20*A*a^3*b^3*d^3*e^4+15*A*a^2*b^4*d^4*e^3-6*A*a*b^5*d^5*e^2+A*b^6*d^6*e-B*a^6*d*e^6+6*B*a^5*b*d^2*e^5-15*B*a^4*b^2*d^3*e^4+20*B*a^3*b^3*d^4*e^3-15*B*a^2*b^4*d^5*e^2+6*B*a*b^5*d^6*e-B*b^6*d^7)/e^8/(e*x+d)^14-1/8*b^5*(A*b*e+6*B*a*e-7*B*b*d)/e^8/(e*x+d)^8-1/4*b*(5*A*a^4*b*e^5-20*A*a^3*b^2*d*e^4+30*A*a^2*b^3*d^2*e^3-20*A*a*b^4*d^3*e^2+5*A*b^5*d^4*e+2*B*a^5*e^5-15*B*a^4*b*d*e^4+40*B*a^3*b^2*d^2*e^3-50*B*a^2*b^3*d^3*e^2+30*B*a*b^4*d^4*e-7*B*b^5*d^5)/e^8/(e*x+d)^12-5/11*b^2*(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+3*B*a^4*e^4-16*B*a^3*b*d*e^3+30*B*a^2*b^2*d^2*e^2-24*B*a*b^3*d^3*e+7*B*b^4*d^4)/e^8/(e*x+d)^11-1/2*b^3*(3*A*a^2*b*e^3-6*A*a*b^2*d*e^2+3*A*b^3*d^2*e+4*B*a^3*e^3-15*B*a^2*b*d*e^2+18*B*a*b^2*d^2*e-7*B*b^3*d^3)/e^8/(e*x+d)^10-1/3*b^4*(2*A*a*b*e^2-2*A*b^2*d*e+5*B*a^2*e^2-12*B*a*b*d*e+7*B*b^2*d^2)/e^8/(e*x+d)^9-1/7*b^6*B/e^8/(e*x+d)^7","B"
1075,1,3893,440,0.004000," ","int((b*x+a)^10*(B*x+A)*(e*x+d)^13,x)","\text{output too large to display}"," ",0,"1/25*b^10*B*e^13*x^25+1/6*(1287*a^10*A*d^8*e^5+715*(10*A*a^9*b+B*a^10)*d^9*e^4+286*(45*A*a^8*b^2+10*B*a^9*b)*d^10*e^3+78*(120*A*a^7*b^3+45*B*a^8*b^2)*d^11*e^2+13*(210*A*a^6*b^4+120*B*a^7*b^3)*d^12*e+(252*A*a^5*b^5+210*B*a^6*b^4)*d^13)*x^6+1/24*((A*b^10+10*B*a*b^9)*e^13+13*b^10*B*d*e^12)*x^24+1/7*(1716*a^10*A*d^7*e^6+1287*(10*A*a^9*b+B*a^10)*d^8*e^5+715*(45*A*a^8*b^2+10*B*a^9*b)*d^9*e^4+286*(120*A*a^7*b^3+45*B*a^8*b^2)*d^10*e^3+78*(210*A*a^6*b^4+120*B*a^7*b^3)*d^11*e^2+13*(252*A*a^5*b^5+210*B*a^6*b^4)*d^12*e+(210*A*a^4*b^6+252*B*a^5*b^5)*d^13)*x^7+1/12*(78*a^10*A*d^2*e^11+286*(10*A*a^9*b+B*a^10)*d^3*e^10+715*(45*A*a^8*b^2+10*B*a^9*b)*d^4*e^9+1287*(120*A*a^7*b^3+45*B*a^8*b^2)*d^5*e^8+1716*(210*A*a^6*b^4+120*B*a^7*b^3)*d^6*e^7+1716*(252*A*a^5*b^5+210*B*a^6*b^4)*d^7*e^6+1287*(210*A*a^4*b^6+252*B*a^5*b^5)*d^8*e^5+715*(120*A*a^3*b^7+210*B*a^4*b^6)*d^9*e^4+286*(45*A*a^2*b^8+120*B*a^3*b^7)*d^10*e^3+78*(10*A*a*b^9+45*B*a^2*b^8)*d^11*e^2+13*(A*b^10+10*B*a*b^9)*d^12*e+b^10*B*d^13)*x^12+1/11*(286*a^10*A*d^3*e^10+715*(10*A*a^9*b+B*a^10)*d^4*e^9+1287*(45*A*a^8*b^2+10*B*a^9*b)*d^5*e^8+1716*(120*A*a^7*b^3+45*B*a^8*b^2)*d^6*e^7+1716*(210*A*a^6*b^4+120*B*a^7*b^3)*d^7*e^6+1287*(252*A*a^5*b^5+210*B*a^6*b^4)*d^8*e^5+715*(210*A*a^4*b^6+252*B*a^5*b^5)*d^9*e^4+286*(120*A*a^3*b^7+210*B*a^4*b^6)*d^10*e^3+78*(45*A*a^2*b^8+120*B*a^3*b^7)*d^11*e^2+13*(10*A*a*b^9+45*B*a^2*b^8)*d^12*e+(A*b^10+10*B*a*b^9)*d^13)*x^11+1/10*(715*a^10*A*d^4*e^9+1287*(10*A*a^9*b+B*a^10)*d^5*e^8+1716*(45*A*a^8*b^2+10*B*a^9*b)*d^6*e^7+1716*(120*A*a^7*b^3+45*B*a^8*b^2)*d^7*e^6+1287*(210*A*a^6*b^4+120*B*a^7*b^3)*d^8*e^5+715*(252*A*a^5*b^5+210*B*a^6*b^4)*d^9*e^4+286*(210*A*a^4*b^6+252*B*a^5*b^5)*d^10*e^3+78*(120*A*a^3*b^7+210*B*a^4*b^6)*d^11*e^2+13*(45*A*a^2*b^8+120*B*a^3*b^7)*d^12*e+(10*A*a*b^9+45*B*a^2*b^8)*d^13)*x^10+1/9*(1287*a^10*A*d^5*e^8+1716*(10*A*a^9*b+B*a^10)*d^6*e^7+1716*(45*A*a^8*b^2+10*B*a^9*b)*d^7*e^6+1287*(120*A*a^7*b^3+45*B*a^8*b^2)*d^8*e^5+715*(210*A*a^6*b^4+120*B*a^7*b^3)*d^9*e^4+286*(252*A*a^5*b^5+210*B*a^6*b^4)*d^10*e^3+78*(210*A*a^4*b^6+252*B*a^5*b^5)*d^11*e^2+13*(120*A*a^3*b^7+210*B*a^4*b^6)*d^12*e+(45*A*a^2*b^8+120*B*a^3*b^7)*d^13)*x^9+1/8*(1716*a^10*A*d^6*e^7+1716*(10*A*a^9*b+B*a^10)*d^7*e^6+1287*(45*A*a^8*b^2+10*B*a^9*b)*d^8*e^5+715*(120*A*a^7*b^3+45*B*a^8*b^2)*d^9*e^4+286*(210*A*a^6*b^4+120*B*a^7*b^3)*d^10*e^3+78*(252*A*a^5*b^5+210*B*a^6*b^4)*d^11*e^2+13*(210*A*a^4*b^6+252*B*a^5*b^5)*d^12*e+(120*A*a^3*b^7+210*B*a^4*b^6)*d^13)*x^8+1/16*((45*A*a^8*b^2+10*B*a^9*b)*e^13+13*(120*A*a^7*b^3+45*B*a^8*b^2)*d*e^12+78*(210*A*a^6*b^4+120*B*a^7*b^3)*d^2*e^11+286*(252*A*a^5*b^5+210*B*a^6*b^4)*d^3*e^10+715*(210*A*a^4*b^6+252*B*a^5*b^5)*d^4*e^9+1287*(120*A*a^3*b^7+210*B*a^4*b^6)*d^5*e^8+1716*(45*A*a^2*b^8+120*B*a^3*b^7)*d^6*e^7+1716*(10*A*a*b^9+45*B*a^2*b^8)*d^7*e^6+1287*(A*b^10+10*B*a*b^9)*d^8*e^5+715*b^10*B*d^9*e^4)*x^16+1/15*((10*A*a^9*b+B*a^10)*e^13+13*(45*A*a^8*b^2+10*B*a^9*b)*d*e^12+78*(120*A*a^7*b^3+45*B*a^8*b^2)*d^2*e^11+286*(210*A*a^6*b^4+120*B*a^7*b^3)*d^3*e^10+715*(252*A*a^5*b^5+210*B*a^6*b^4)*d^4*e^9+1287*(210*A*a^4*b^6+252*B*a^5*b^5)*d^5*e^8+1716*(120*A*a^3*b^7+210*B*a^4*b^6)*d^6*e^7+1716*(45*A*a^2*b^8+120*B*a^3*b^7)*d^7*e^6+1287*(10*A*a*b^9+45*B*a^2*b^8)*d^8*e^5+715*(A*b^10+10*B*a*b^9)*d^9*e^4+286*b^10*B*d^10*e^3)*x^15+1/14*(a^10*A*e^13+13*(10*A*a^9*b+B*a^10)*d*e^12+78*(45*A*a^8*b^2+10*B*a^9*b)*d^2*e^11+286*(120*A*a^7*b^3+45*B*a^8*b^2)*d^3*e^10+715*(210*A*a^6*b^4+120*B*a^7*b^3)*d^4*e^9+1287*(252*A*a^5*b^5+210*B*a^6*b^4)*d^5*e^8+1716*(210*A*a^4*b^6+252*B*a^5*b^5)*d^6*e^7+1716*(120*A*a^3*b^7+210*B*a^4*b^6)*d^7*e^6+1287*(45*A*a^2*b^8+120*B*a^3*b^7)*d^8*e^5+715*(10*A*a*b^9+45*B*a^2*b^8)*d^9*e^4+286*(A*b^10+10*B*a*b^9)*d^10*e^3+78*b^10*B*d^11*e^2)*x^14+1/13*(13*a^10*A*d*e^12+78*(10*A*a^9*b+B*a^10)*d^2*e^11+286*(45*A*a^8*b^2+10*B*a^9*b)*d^3*e^10+715*(120*A*a^7*b^3+45*B*a^8*b^2)*d^4*e^9+1287*(210*A*a^6*b^4+120*B*a^7*b^3)*d^5*e^8+1716*(252*A*a^5*b^5+210*B*a^6*b^4)*d^6*e^7+1716*(210*A*a^4*b^6+252*B*a^5*b^5)*d^7*e^6+1287*(120*A*a^3*b^7+210*B*a^4*b^6)*d^8*e^5+715*(45*A*a^2*b^8+120*B*a^3*b^7)*d^9*e^4+286*(10*A*a*b^9+45*B*a^2*b^8)*d^10*e^3+78*(A*b^10+10*B*a*b^9)*d^11*e^2+13*b^10*B*d^12*e)*x^13+1/21*((120*A*a^3*b^7+210*B*a^4*b^6)*e^13+13*(45*A*a^2*b^8+120*B*a^3*b^7)*d*e^12+78*(10*A*a*b^9+45*B*a^2*b^8)*d^2*e^11+286*(A*b^10+10*B*a*b^9)*d^3*e^10+715*b^10*B*d^4*e^9)*x^21+1/20*((210*A*a^4*b^6+252*B*a^5*b^5)*e^13+13*(120*A*a^3*b^7+210*B*a^4*b^6)*d*e^12+78*(45*A*a^2*b^8+120*B*a^3*b^7)*d^2*e^11+286*(10*A*a*b^9+45*B*a^2*b^8)*d^3*e^10+715*(A*b^10+10*B*a*b^9)*d^4*e^9+1287*b^10*B*d^5*e^8)*x^20+1/19*((252*A*a^5*b^5+210*B*a^6*b^4)*e^13+13*(210*A*a^4*b^6+252*B*a^5*b^5)*d*e^12+78*(120*A*a^3*b^7+210*B*a^4*b^6)*d^2*e^11+286*(45*A*a^2*b^8+120*B*a^3*b^7)*d^3*e^10+715*(10*A*a*b^9+45*B*a^2*b^8)*d^4*e^9+1287*(A*b^10+10*B*a*b^9)*d^5*e^8+1716*b^10*B*d^6*e^7)*x^19+1/18*((210*A*a^6*b^4+120*B*a^7*b^3)*e^13+13*(252*A*a^5*b^5+210*B*a^6*b^4)*d*e^12+78*(210*A*a^4*b^6+252*B*a^5*b^5)*d^2*e^11+286*(120*A*a^3*b^7+210*B*a^4*b^6)*d^3*e^10+715*(45*A*a^2*b^8+120*B*a^3*b^7)*d^4*e^9+1287*(10*A*a*b^9+45*B*a^2*b^8)*d^5*e^8+1716*(A*b^10+10*B*a*b^9)*d^6*e^7+1716*b^10*B*d^7*e^6)*x^18+1/17*((120*A*a^7*b^3+45*B*a^8*b^2)*e^13+13*(210*A*a^6*b^4+120*B*a^7*b^3)*d*e^12+78*(252*A*a^5*b^5+210*B*a^6*b^4)*d^2*e^11+286*(210*A*a^4*b^6+252*B*a^5*b^5)*d^3*e^10+715*(120*A*a^3*b^7+210*B*a^4*b^6)*d^4*e^9+1287*(45*A*a^2*b^8+120*B*a^3*b^7)*d^5*e^8+1716*(10*A*a*b^9+45*B*a^2*b^8)*d^6*e^7+1716*(A*b^10+10*B*a*b^9)*d^7*e^6+1287*b^10*B*d^8*e^5)*x^17+1/22*((45*A*a^2*b^8+120*B*a^3*b^7)*e^13+13*(10*A*a*b^9+45*B*a^2*b^8)*d*e^12+78*(A*b^10+10*B*a*b^9)*d^2*e^11+286*b^10*B*d^3*e^10)*x^22+1/23*((10*A*a*b^9+45*B*a^2*b^8)*e^13+13*(A*b^10+10*B*a*b^9)*d*e^12+78*b^10*B*d^2*e^11)*x^23+1/2*(13*a^10*A*d^12*e+(10*A*a^9*b+B*a^10)*d^13)*x^2+1/4*(286*a^10*A*d^10*e^3+78*(10*A*a^9*b+B*a^10)*d^11*e^2+13*(45*A*a^8*b^2+10*B*a^9*b)*d^12*e+(120*A*a^7*b^3+45*B*a^8*b^2)*d^13)*x^4+1/3*(78*a^10*A*d^11*e^2+13*(10*A*a^9*b+B*a^10)*d^12*e+(45*A*a^8*b^2+10*B*a^9*b)*d^13)*x^3+1/5*(715*a^10*A*d^9*e^4+286*(10*A*a^9*b+B*a^10)*d^10*e^3+78*(45*A*a^8*b^2+10*B*a^9*b)*d^11*e^2+13*(120*A*a^7*b^3+45*B*a^8*b^2)*d^12*e+(210*A*a^6*b^4+120*B*a^7*b^3)*d^13)*x^5+a^10*A*d^13*x","B"
1076,1,3609,440,0.003000," ","int((b*x+a)^10*(B*x+A)*(e*x+d)^12,x)","\text{output too large to display}"," ",0,"1/24*b^10*B*e^12*x^24+1/23*((A*b^10+10*B*a*b^9)*e^12+12*b^10*B*d*e^11)*x^23+1/22*((10*A*a*b^9+45*B*a^2*b^8)*e^12+12*(A*b^10+10*B*a*b^9)*d*e^11+66*b^10*B*d^2*e^10)*x^22+1/21*((45*A*a^2*b^8+120*B*a^3*b^7)*e^12+12*(10*A*a*b^9+45*B*a^2*b^8)*d*e^11+66*(A*b^10+10*B*a*b^9)*d^2*e^10+220*b^10*B*d^3*e^9)*x^21+1/20*((120*A*a^3*b^7+210*B*a^4*b^6)*e^12+12*(45*A*a^2*b^8+120*B*a^3*b^7)*d*e^11+66*(10*A*a*b^9+45*B*a^2*b^8)*d^2*e^10+220*(A*b^10+10*B*a*b^9)*d^3*e^9+495*b^10*B*d^4*e^8)*x^20+1/19*((210*A*a^4*b^6+252*B*a^5*b^5)*e^12+12*(120*A*a^3*b^7+210*B*a^4*b^6)*d*e^11+66*(45*A*a^2*b^8+120*B*a^3*b^7)*d^2*e^10+220*(10*A*a*b^9+45*B*a^2*b^8)*d^3*e^9+495*(A*b^10+10*B*a*b^9)*d^4*e^8+792*b^10*B*d^5*e^7)*x^19+1/18*((252*A*a^5*b^5+210*B*a^6*b^4)*e^12+12*(210*A*a^4*b^6+252*B*a^5*b^5)*d*e^11+66*(120*A*a^3*b^7+210*B*a^4*b^6)*d^2*e^10+220*(45*A*a^2*b^8+120*B*a^3*b^7)*d^3*e^9+495*(10*A*a*b^9+45*B*a^2*b^8)*d^4*e^8+792*(A*b^10+10*B*a*b^9)*d^5*e^7+924*b^10*B*d^6*e^6)*x^18+1/17*((210*A*a^6*b^4+120*B*a^7*b^3)*e^12+12*(252*A*a^5*b^5+210*B*a^6*b^4)*d*e^11+66*(210*A*a^4*b^6+252*B*a^5*b^5)*d^2*e^10+220*(120*A*a^3*b^7+210*B*a^4*b^6)*d^3*e^9+495*(45*A*a^2*b^8+120*B*a^3*b^7)*d^4*e^8+792*(10*A*a*b^9+45*B*a^2*b^8)*d^5*e^7+924*(A*b^10+10*B*a*b^9)*d^6*e^6+792*b^10*B*d^7*e^5)*x^17+1/16*((120*A*a^7*b^3+45*B*a^8*b^2)*e^12+12*(210*A*a^6*b^4+120*B*a^7*b^3)*d*e^11+66*(252*A*a^5*b^5+210*B*a^6*b^4)*d^2*e^10+220*(210*A*a^4*b^6+252*B*a^5*b^5)*d^3*e^9+495*(120*A*a^3*b^7+210*B*a^4*b^6)*d^4*e^8+792*(45*A*a^2*b^8+120*B*a^3*b^7)*d^5*e^7+924*(10*A*a*b^9+45*B*a^2*b^8)*d^6*e^6+792*(A*b^10+10*B*a*b^9)*d^7*e^5+495*b^10*B*d^8*e^4)*x^16+1/15*((45*A*a^8*b^2+10*B*a^9*b)*e^12+12*(120*A*a^7*b^3+45*B*a^8*b^2)*d*e^11+66*(210*A*a^6*b^4+120*B*a^7*b^3)*d^2*e^10+220*(252*A*a^5*b^5+210*B*a^6*b^4)*d^3*e^9+495*(210*A*a^4*b^6+252*B*a^5*b^5)*d^4*e^8+792*(120*A*a^3*b^7+210*B*a^4*b^6)*d^5*e^7+924*(45*A*a^2*b^8+120*B*a^3*b^7)*d^6*e^6+792*(10*A*a*b^9+45*B*a^2*b^8)*d^7*e^5+495*(A*b^10+10*B*a*b^9)*d^8*e^4+220*b^10*B*d^9*e^3)*x^15+1/14*((10*A*a^9*b+B*a^10)*e^12+12*(45*A*a^8*b^2+10*B*a^9*b)*d*e^11+66*(120*A*a^7*b^3+45*B*a^8*b^2)*d^2*e^10+220*(210*A*a^6*b^4+120*B*a^7*b^3)*d^3*e^9+495*(252*A*a^5*b^5+210*B*a^6*b^4)*d^4*e^8+792*(210*A*a^4*b^6+252*B*a^5*b^5)*d^5*e^7+924*(120*A*a^3*b^7+210*B*a^4*b^6)*d^6*e^6+792*(45*A*a^2*b^8+120*B*a^3*b^7)*d^7*e^5+495*(10*A*a*b^9+45*B*a^2*b^8)*d^8*e^4+220*(A*b^10+10*B*a*b^9)*d^9*e^3+66*b^10*B*d^10*e^2)*x^14+1/13*(a^10*A*e^12+12*(10*A*a^9*b+B*a^10)*d*e^11+66*(45*A*a^8*b^2+10*B*a^9*b)*d^2*e^10+220*(120*A*a^7*b^3+45*B*a^8*b^2)*d^3*e^9+495*(210*A*a^6*b^4+120*B*a^7*b^3)*d^4*e^8+792*(252*A*a^5*b^5+210*B*a^6*b^4)*d^5*e^7+924*(210*A*a^4*b^6+252*B*a^5*b^5)*d^6*e^6+792*(120*A*a^3*b^7+210*B*a^4*b^6)*d^7*e^5+495*(45*A*a^2*b^8+120*B*a^3*b^7)*d^8*e^4+220*(10*A*a*b^9+45*B*a^2*b^8)*d^9*e^3+66*(A*b^10+10*B*a*b^9)*d^10*e^2+12*b^10*B*d^11*e)*x^13+1/12*(12*a^10*A*d*e^11+66*(10*A*a^9*b+B*a^10)*d^2*e^10+220*(45*A*a^8*b^2+10*B*a^9*b)*d^3*e^9+495*(120*A*a^7*b^3+45*B*a^8*b^2)*d^4*e^8+792*(210*A*a^6*b^4+120*B*a^7*b^3)*d^5*e^7+924*(252*A*a^5*b^5+210*B*a^6*b^4)*d^6*e^6+792*(210*A*a^4*b^6+252*B*a^5*b^5)*d^7*e^5+495*(120*A*a^3*b^7+210*B*a^4*b^6)*d^8*e^4+220*(45*A*a^2*b^8+120*B*a^3*b^7)*d^9*e^3+66*(10*A*a*b^9+45*B*a^2*b^8)*d^10*e^2+12*(A*b^10+10*B*a*b^9)*d^11*e+b^10*B*d^12)*x^12+1/11*(66*a^10*A*d^2*e^10+220*(10*A*a^9*b+B*a^10)*d^3*e^9+495*(45*A*a^8*b^2+10*B*a^9*b)*d^4*e^8+792*(120*A*a^7*b^3+45*B*a^8*b^2)*d^5*e^7+924*(210*A*a^6*b^4+120*B*a^7*b^3)*d^6*e^6+792*(252*A*a^5*b^5+210*B*a^6*b^4)*d^7*e^5+495*(210*A*a^4*b^6+252*B*a^5*b^5)*d^8*e^4+220*(120*A*a^3*b^7+210*B*a^4*b^6)*d^9*e^3+66*(45*A*a^2*b^8+120*B*a^3*b^7)*d^10*e^2+12*(10*A*a*b^9+45*B*a^2*b^8)*d^11*e+(A*b^10+10*B*a*b^9)*d^12)*x^11+1/10*(220*a^10*A*d^3*e^9+495*(10*A*a^9*b+B*a^10)*d^4*e^8+792*(45*A*a^8*b^2+10*B*a^9*b)*d^5*e^7+924*(120*A*a^7*b^3+45*B*a^8*b^2)*d^6*e^6+792*(210*A*a^6*b^4+120*B*a^7*b^3)*d^7*e^5+495*(252*A*a^5*b^5+210*B*a^6*b^4)*d^8*e^4+220*(210*A*a^4*b^6+252*B*a^5*b^5)*d^9*e^3+66*(120*A*a^3*b^7+210*B*a^4*b^6)*d^10*e^2+12*(45*A*a^2*b^8+120*B*a^3*b^7)*d^11*e+(10*A*a*b^9+45*B*a^2*b^8)*d^12)*x^10+1/9*(495*a^10*A*d^4*e^8+792*(10*A*a^9*b+B*a^10)*d^5*e^7+924*(45*A*a^8*b^2+10*B*a^9*b)*d^6*e^6+792*(120*A*a^7*b^3+45*B*a^8*b^2)*d^7*e^5+495*(210*A*a^6*b^4+120*B*a^7*b^3)*d^8*e^4+220*(252*A*a^5*b^5+210*B*a^6*b^4)*d^9*e^3+66*(210*A*a^4*b^6+252*B*a^5*b^5)*d^10*e^2+12*(120*A*a^3*b^7+210*B*a^4*b^6)*d^11*e+(45*A*a^2*b^8+120*B*a^3*b^7)*d^12)*x^9+1/8*(792*a^10*A*d^5*e^7+924*(10*A*a^9*b+B*a^10)*d^6*e^6+792*(45*A*a^8*b^2+10*B*a^9*b)*d^7*e^5+495*(120*A*a^7*b^3+45*B*a^8*b^2)*d^8*e^4+220*(210*A*a^6*b^4+120*B*a^7*b^3)*d^9*e^3+66*(252*A*a^5*b^5+210*B*a^6*b^4)*d^10*e^2+12*(210*A*a^4*b^6+252*B*a^5*b^5)*d^11*e+(120*A*a^3*b^7+210*B*a^4*b^6)*d^12)*x^8+1/7*(924*a^10*A*d^6*e^6+792*(10*A*a^9*b+B*a^10)*d^7*e^5+495*(45*A*a^8*b^2+10*B*a^9*b)*d^8*e^4+220*(120*A*a^7*b^3+45*B*a^8*b^2)*d^9*e^3+66*(210*A*a^6*b^4+120*B*a^7*b^3)*d^10*e^2+12*(252*A*a^5*b^5+210*B*a^6*b^4)*d^11*e+(210*A*a^4*b^6+252*B*a^5*b^5)*d^12)*x^7+1/6*(792*a^10*A*d^7*e^5+495*(10*A*a^9*b+B*a^10)*d^8*e^4+220*(45*A*a^8*b^2+10*B*a^9*b)*d^9*e^3+66*(120*A*a^7*b^3+45*B*a^8*b^2)*d^10*e^2+12*(210*A*a^6*b^4+120*B*a^7*b^3)*d^11*e+(252*A*a^5*b^5+210*B*a^6*b^4)*d^12)*x^6+1/5*(495*a^10*A*d^8*e^4+220*(10*A*a^9*b+B*a^10)*d^9*e^3+66*(45*A*a^8*b^2+10*B*a^9*b)*d^10*e^2+12*(120*A*a^7*b^3+45*B*a^8*b^2)*d^11*e+(210*A*a^6*b^4+120*B*a^7*b^3)*d^12)*x^5+1/4*(220*a^10*A*d^9*e^3+66*(10*A*a^9*b+B*a^10)*d^10*e^2+12*(45*A*a^8*b^2+10*B*a^9*b)*d^11*e+(120*A*a^7*b^3+45*B*a^8*b^2)*d^12)*x^4+1/3*(66*a^10*A*d^10*e^2+12*(10*A*a^9*b+B*a^10)*d^11*e+(45*A*a^8*b^2+10*B*a^9*b)*d^12)*x^3+1/2*(12*a^10*A*d^11*e+(10*A*a^9*b+B*a^10)*d^12)*x^2+a^10*A*d^12*x","B"
1077,1,3325,439,0.003000," ","int((b*x+a)^10*(B*x+A)*(e*x+d)^11,x)","\text{output too large to display}"," ",0,"1/23*b^10*B*e^11*x^23+1/22*((A*b^10+10*B*a*b^9)*e^11+11*b^10*B*d*e^10)*x^22+1/21*((10*A*a*b^9+45*B*a^2*b^8)*e^11+11*(A*b^10+10*B*a*b^9)*d*e^10+55*b^10*B*d^2*e^9)*x^21+1/20*((45*A*a^2*b^8+120*B*a^3*b^7)*e^11+11*(10*A*a*b^9+45*B*a^2*b^8)*d*e^10+55*(A*b^10+10*B*a*b^9)*d^2*e^9+165*b^10*B*d^3*e^8)*x^20+1/19*((120*A*a^3*b^7+210*B*a^4*b^6)*e^11+11*(45*A*a^2*b^8+120*B*a^3*b^7)*d*e^10+55*(10*A*a*b^9+45*B*a^2*b^8)*d^2*e^9+165*(A*b^10+10*B*a*b^9)*d^3*e^8+330*b^10*B*d^4*e^7)*x^19+1/18*((210*A*a^4*b^6+252*B*a^5*b^5)*e^11+11*(120*A*a^3*b^7+210*B*a^4*b^6)*d*e^10+55*(45*A*a^2*b^8+120*B*a^3*b^7)*d^2*e^9+165*(10*A*a*b^9+45*B*a^2*b^8)*d^3*e^8+330*(A*b^10+10*B*a*b^9)*d^4*e^7+462*b^10*B*d^5*e^6)*x^18+1/17*((252*A*a^5*b^5+210*B*a^6*b^4)*e^11+11*(210*A*a^4*b^6+252*B*a^5*b^5)*d*e^10+55*(120*A*a^3*b^7+210*B*a^4*b^6)*d^2*e^9+165*(45*A*a^2*b^8+120*B*a^3*b^7)*d^3*e^8+330*(10*A*a*b^9+45*B*a^2*b^8)*d^4*e^7+462*(A*b^10+10*B*a*b^9)*d^5*e^6+462*b^10*B*d^6*e^5)*x^17+1/16*((210*A*a^6*b^4+120*B*a^7*b^3)*e^11+11*(252*A*a^5*b^5+210*B*a^6*b^4)*d*e^10+55*(210*A*a^4*b^6+252*B*a^5*b^5)*d^2*e^9+165*(120*A*a^3*b^7+210*B*a^4*b^6)*d^3*e^8+330*(45*A*a^2*b^8+120*B*a^3*b^7)*d^4*e^7+462*(10*A*a*b^9+45*B*a^2*b^8)*d^5*e^6+462*(A*b^10+10*B*a*b^9)*d^6*e^5+330*b^10*B*d^7*e^4)*x^16+1/15*((120*A*a^7*b^3+45*B*a^8*b^2)*e^11+11*(210*A*a^6*b^4+120*B*a^7*b^3)*d*e^10+55*(252*A*a^5*b^5+210*B*a^6*b^4)*d^2*e^9+165*(210*A*a^4*b^6+252*B*a^5*b^5)*d^3*e^8+330*(120*A*a^3*b^7+210*B*a^4*b^6)*d^4*e^7+462*(45*A*a^2*b^8+120*B*a^3*b^7)*d^5*e^6+462*(10*A*a*b^9+45*B*a^2*b^8)*d^6*e^5+330*(A*b^10+10*B*a*b^9)*d^7*e^4+165*b^10*B*d^8*e^3)*x^15+1/14*((45*A*a^8*b^2+10*B*a^9*b)*e^11+11*(120*A*a^7*b^3+45*B*a^8*b^2)*d*e^10+55*(210*A*a^6*b^4+120*B*a^7*b^3)*d^2*e^9+165*(252*A*a^5*b^5+210*B*a^6*b^4)*d^3*e^8+330*(210*A*a^4*b^6+252*B*a^5*b^5)*d^4*e^7+462*(120*A*a^3*b^7+210*B*a^4*b^6)*d^5*e^6+462*(45*A*a^2*b^8+120*B*a^3*b^7)*d^6*e^5+330*(10*A*a*b^9+45*B*a^2*b^8)*d^7*e^4+165*(A*b^10+10*B*a*b^9)*d^8*e^3+55*b^10*B*d^9*e^2)*x^14+1/13*((10*A*a^9*b+B*a^10)*e^11+11*(45*A*a^8*b^2+10*B*a^9*b)*d*e^10+55*(120*A*a^7*b^3+45*B*a^8*b^2)*d^2*e^9+165*(210*A*a^6*b^4+120*B*a^7*b^3)*d^3*e^8+330*(252*A*a^5*b^5+210*B*a^6*b^4)*d^4*e^7+462*(210*A*a^4*b^6+252*B*a^5*b^5)*d^5*e^6+462*(120*A*a^3*b^7+210*B*a^4*b^6)*d^6*e^5+330*(45*A*a^2*b^8+120*B*a^3*b^7)*d^7*e^4+165*(10*A*a*b^9+45*B*a^2*b^8)*d^8*e^3+55*(A*b^10+10*B*a*b^9)*d^9*e^2+11*b^10*B*d^10*e)*x^13+1/12*(a^10*A*e^11+11*(10*A*a^9*b+B*a^10)*d*e^10+55*(45*A*a^8*b^2+10*B*a^9*b)*d^2*e^9+165*(120*A*a^7*b^3+45*B*a^8*b^2)*d^3*e^8+330*(210*A*a^6*b^4+120*B*a^7*b^3)*d^4*e^7+462*(252*A*a^5*b^5+210*B*a^6*b^4)*d^5*e^6+462*(210*A*a^4*b^6+252*B*a^5*b^5)*d^6*e^5+330*(120*A*a^3*b^7+210*B*a^4*b^6)*d^7*e^4+165*(45*A*a^2*b^8+120*B*a^3*b^7)*d^8*e^3+55*(10*A*a*b^9+45*B*a^2*b^8)*d^9*e^2+11*(A*b^10+10*B*a*b^9)*d^10*e+b^10*B*d^11)*x^12+1/11*(11*a^10*A*d*e^10+55*(10*A*a^9*b+B*a^10)*d^2*e^9+165*(45*A*a^8*b^2+10*B*a^9*b)*d^3*e^8+330*(120*A*a^7*b^3+45*B*a^8*b^2)*d^4*e^7+462*(210*A*a^6*b^4+120*B*a^7*b^3)*d^5*e^6+462*(252*A*a^5*b^5+210*B*a^6*b^4)*d^6*e^5+330*(210*A*a^4*b^6+252*B*a^5*b^5)*d^7*e^4+165*(120*A*a^3*b^7+210*B*a^4*b^6)*d^8*e^3+55*(45*A*a^2*b^8+120*B*a^3*b^7)*d^9*e^2+11*(10*A*a*b^9+45*B*a^2*b^8)*d^10*e+(A*b^10+10*B*a*b^9)*d^11)*x^11+1/10*(55*a^10*A*d^2*e^9+165*(10*A*a^9*b+B*a^10)*d^3*e^8+330*(45*A*a^8*b^2+10*B*a^9*b)*d^4*e^7+462*(120*A*a^7*b^3+45*B*a^8*b^2)*d^5*e^6+462*(210*A*a^6*b^4+120*B*a^7*b^3)*d^6*e^5+330*(252*A*a^5*b^5+210*B*a^6*b^4)*d^7*e^4+165*(210*A*a^4*b^6+252*B*a^5*b^5)*d^8*e^3+55*(120*A*a^3*b^7+210*B*a^4*b^6)*d^9*e^2+11*(45*A*a^2*b^8+120*B*a^3*b^7)*d^10*e+(10*A*a*b^9+45*B*a^2*b^8)*d^11)*x^10+1/9*(165*a^10*A*d^3*e^8+330*(10*A*a^9*b+B*a^10)*d^4*e^7+462*(45*A*a^8*b^2+10*B*a^9*b)*d^5*e^6+462*(120*A*a^7*b^3+45*B*a^8*b^2)*d^6*e^5+330*(210*A*a^6*b^4+120*B*a^7*b^3)*d^7*e^4+165*(252*A*a^5*b^5+210*B*a^6*b^4)*d^8*e^3+55*(210*A*a^4*b^6+252*B*a^5*b^5)*d^9*e^2+11*(120*A*a^3*b^7+210*B*a^4*b^6)*d^10*e+(45*A*a^2*b^8+120*B*a^3*b^7)*d^11)*x^9+1/8*(330*a^10*A*d^4*e^7+462*(10*A*a^9*b+B*a^10)*d^5*e^6+462*(45*A*a^8*b^2+10*B*a^9*b)*d^6*e^5+330*(120*A*a^7*b^3+45*B*a^8*b^2)*d^7*e^4+165*(210*A*a^6*b^4+120*B*a^7*b^3)*d^8*e^3+55*(252*A*a^5*b^5+210*B*a^6*b^4)*d^9*e^2+11*(210*A*a^4*b^6+252*B*a^5*b^5)*d^10*e+(120*A*a^3*b^7+210*B*a^4*b^6)*d^11)*x^8+1/7*(462*a^10*A*d^5*e^6+462*(10*A*a^9*b+B*a^10)*d^6*e^5+330*(45*A*a^8*b^2+10*B*a^9*b)*d^7*e^4+165*(120*A*a^7*b^3+45*B*a^8*b^2)*d^8*e^3+55*(210*A*a^6*b^4+120*B*a^7*b^3)*d^9*e^2+11*(252*A*a^5*b^5+210*B*a^6*b^4)*d^10*e+(210*A*a^4*b^6+252*B*a^5*b^5)*d^11)*x^7+1/6*(462*a^10*A*d^6*e^5+330*(10*A*a^9*b+B*a^10)*d^7*e^4+165*(45*A*a^8*b^2+10*B*a^9*b)*d^8*e^3+55*(120*A*a^7*b^3+45*B*a^8*b^2)*d^9*e^2+11*(210*A*a^6*b^4+120*B*a^7*b^3)*d^10*e+(252*A*a^5*b^5+210*B*a^6*b^4)*d^11)*x^6+1/5*(330*a^10*A*d^7*e^4+165*(10*A*a^9*b+B*a^10)*d^8*e^3+55*(45*A*a^8*b^2+10*B*a^9*b)*d^9*e^2+11*(120*A*a^7*b^3+45*B*a^8*b^2)*d^10*e+(210*A*a^6*b^4+120*B*a^7*b^3)*d^11)*x^5+1/4*(165*a^10*A*d^8*e^3+55*(10*A*a^9*b+B*a^10)*d^9*e^2+11*(45*A*a^8*b^2+10*B*a^9*b)*d^10*e+(120*A*a^7*b^3+45*B*a^8*b^2)*d^11)*x^4+1/3*(55*a^10*A*d^9*e^2+11*(10*A*a^9*b+B*a^10)*d^10*e+(45*A*a^8*b^2+10*B*a^9*b)*d^11)*x^3+1/2*(11*a^10*A*d^10*e+(10*A*a^9*b+B*a^10)*d^11)*x^2+a^10*A*d^11*x","B"
1078,1,3041,438,0.003000," ","int((b*x+a)^10*(B*x+A)*(e*x+d)^10,x)","\text{output too large to display}"," ",0,"1/22*b^10*B*e^10*x^22+1/21*((A*b^10+10*B*a*b^9)*e^10+10*b^10*B*d*e^9)*x^21+1/20*((10*A*a*b^9+45*B*a^2*b^8)*e^10+10*(A*b^10+10*B*a*b^9)*d*e^9+45*b^10*B*d^2*e^8)*x^20+1/19*((45*A*a^2*b^8+120*B*a^3*b^7)*e^10+10*(10*A*a*b^9+45*B*a^2*b^8)*d*e^9+45*(A*b^10+10*B*a*b^9)*d^2*e^8+120*b^10*B*d^3*e^7)*x^19+1/18*((120*A*a^3*b^7+210*B*a^4*b^6)*e^10+10*(45*A*a^2*b^8+120*B*a^3*b^7)*d*e^9+45*(10*A*a*b^9+45*B*a^2*b^8)*d^2*e^8+120*(A*b^10+10*B*a*b^9)*d^3*e^7+210*b^10*B*d^4*e^6)*x^18+1/17*((210*A*a^4*b^6+252*B*a^5*b^5)*e^10+10*(120*A*a^3*b^7+210*B*a^4*b^6)*d*e^9+45*(45*A*a^2*b^8+120*B*a^3*b^7)*d^2*e^8+120*(10*A*a*b^9+45*B*a^2*b^8)*d^3*e^7+210*(A*b^10+10*B*a*b^9)*d^4*e^6+252*b^10*B*d^5*e^5)*x^17+1/16*((252*A*a^5*b^5+210*B*a^6*b^4)*e^10+10*(210*A*a^4*b^6+252*B*a^5*b^5)*d*e^9+45*(120*A*a^3*b^7+210*B*a^4*b^6)*d^2*e^8+120*(45*A*a^2*b^8+120*B*a^3*b^7)*d^3*e^7+210*(10*A*a*b^9+45*B*a^2*b^8)*d^4*e^6+252*(A*b^10+10*B*a*b^9)*d^5*e^5+210*b^10*B*d^6*e^4)*x^16+1/15*((210*A*a^6*b^4+120*B*a^7*b^3)*e^10+10*(252*A*a^5*b^5+210*B*a^6*b^4)*d*e^9+45*(210*A*a^4*b^6+252*B*a^5*b^5)*d^2*e^8+120*(120*A*a^3*b^7+210*B*a^4*b^6)*d^3*e^7+210*(45*A*a^2*b^8+120*B*a^3*b^7)*d^4*e^6+252*(10*A*a*b^9+45*B*a^2*b^8)*d^5*e^5+210*(A*b^10+10*B*a*b^9)*d^6*e^4+120*b^10*B*d^7*e^3)*x^15+1/14*((120*A*a^7*b^3+45*B*a^8*b^2)*e^10+10*(210*A*a^6*b^4+120*B*a^7*b^3)*d*e^9+45*(252*A*a^5*b^5+210*B*a^6*b^4)*d^2*e^8+120*(210*A*a^4*b^6+252*B*a^5*b^5)*d^3*e^7+210*(120*A*a^3*b^7+210*B*a^4*b^6)*d^4*e^6+252*(45*A*a^2*b^8+120*B*a^3*b^7)*d^5*e^5+210*(10*A*a*b^9+45*B*a^2*b^8)*d^6*e^4+120*(A*b^10+10*B*a*b^9)*d^7*e^3+45*b^10*B*d^8*e^2)*x^14+1/13*((45*A*a^8*b^2+10*B*a^9*b)*e^10+10*(120*A*a^7*b^3+45*B*a^8*b^2)*d*e^9+45*(210*A*a^6*b^4+120*B*a^7*b^3)*d^2*e^8+120*(252*A*a^5*b^5+210*B*a^6*b^4)*d^3*e^7+210*(210*A*a^4*b^6+252*B*a^5*b^5)*d^4*e^6+252*(120*A*a^3*b^7+210*B*a^4*b^6)*d^5*e^5+210*(45*A*a^2*b^8+120*B*a^3*b^7)*d^6*e^4+120*(10*A*a*b^9+45*B*a^2*b^8)*d^7*e^3+45*(A*b^10+10*B*a*b^9)*d^8*e^2+10*b^10*B*d^9*e)*x^13+1/12*((10*A*a^9*b+B*a^10)*e^10+10*(45*A*a^8*b^2+10*B*a^9*b)*d*e^9+45*(120*A*a^7*b^3+45*B*a^8*b^2)*d^2*e^8+120*(210*A*a^6*b^4+120*B*a^7*b^3)*d^3*e^7+210*(252*A*a^5*b^5+210*B*a^6*b^4)*d^4*e^6+252*(210*A*a^4*b^6+252*B*a^5*b^5)*d^5*e^5+210*(120*A*a^3*b^7+210*B*a^4*b^6)*d^6*e^4+120*(45*A*a^2*b^8+120*B*a^3*b^7)*d^7*e^3+45*(10*A*a*b^9+45*B*a^2*b^8)*d^8*e^2+10*(A*b^10+10*B*a*b^9)*d^9*e+b^10*B*d^10)*x^12+1/11*(a^10*A*e^10+10*(10*A*a^9*b+B*a^10)*d*e^9+45*(45*A*a^8*b^2+10*B*a^9*b)*d^2*e^8+120*(120*A*a^7*b^3+45*B*a^8*b^2)*d^3*e^7+210*(210*A*a^6*b^4+120*B*a^7*b^3)*d^4*e^6+252*(252*A*a^5*b^5+210*B*a^6*b^4)*d^5*e^5+210*(210*A*a^4*b^6+252*B*a^5*b^5)*d^6*e^4+120*(120*A*a^3*b^7+210*B*a^4*b^6)*d^7*e^3+45*(45*A*a^2*b^8+120*B*a^3*b^7)*d^8*e^2+10*(10*A*a*b^9+45*B*a^2*b^8)*d^9*e+(A*b^10+10*B*a*b^9)*d^10)*x^11+1/10*(10*a^10*A*d*e^9+45*(10*A*a^9*b+B*a^10)*d^2*e^8+120*(45*A*a^8*b^2+10*B*a^9*b)*d^3*e^7+210*(120*A*a^7*b^3+45*B*a^8*b^2)*d^4*e^6+252*(210*A*a^6*b^4+120*B*a^7*b^3)*d^5*e^5+210*(252*A*a^5*b^5+210*B*a^6*b^4)*d^6*e^4+120*(210*A*a^4*b^6+252*B*a^5*b^5)*d^7*e^3+45*(120*A*a^3*b^7+210*B*a^4*b^6)*d^8*e^2+10*(45*A*a^2*b^8+120*B*a^3*b^7)*d^9*e+(10*A*a*b^9+45*B*a^2*b^8)*d^10)*x^10+1/9*(45*a^10*A*d^2*e^8+120*(10*A*a^9*b+B*a^10)*d^3*e^7+210*(45*A*a^8*b^2+10*B*a^9*b)*d^4*e^6+252*(120*A*a^7*b^3+45*B*a^8*b^2)*d^5*e^5+210*(210*A*a^6*b^4+120*B*a^7*b^3)*d^6*e^4+120*(252*A*a^5*b^5+210*B*a^6*b^4)*d^7*e^3+45*(210*A*a^4*b^6+252*B*a^5*b^5)*d^8*e^2+10*(120*A*a^3*b^7+210*B*a^4*b^6)*d^9*e+(45*A*a^2*b^8+120*B*a^3*b^7)*d^10)*x^9+1/8*(120*a^10*A*d^3*e^7+210*(10*A*a^9*b+B*a^10)*d^4*e^6+252*(45*A*a^8*b^2+10*B*a^9*b)*d^5*e^5+210*(120*A*a^7*b^3+45*B*a^8*b^2)*d^6*e^4+120*(210*A*a^6*b^4+120*B*a^7*b^3)*d^7*e^3+45*(252*A*a^5*b^5+210*B*a^6*b^4)*d^8*e^2+10*(210*A*a^4*b^6+252*B*a^5*b^5)*d^9*e+(120*A*a^3*b^7+210*B*a^4*b^6)*d^10)*x^8+1/7*(210*a^10*A*d^4*e^6+252*(10*A*a^9*b+B*a^10)*d^5*e^5+210*(45*A*a^8*b^2+10*B*a^9*b)*d^6*e^4+120*(120*A*a^7*b^3+45*B*a^8*b^2)*d^7*e^3+45*(210*A*a^6*b^4+120*B*a^7*b^3)*d^8*e^2+10*(252*A*a^5*b^5+210*B*a^6*b^4)*d^9*e+(210*A*a^4*b^6+252*B*a^5*b^5)*d^10)*x^7+1/6*(252*a^10*A*d^5*e^5+210*(10*A*a^9*b+B*a^10)*d^6*e^4+120*(45*A*a^8*b^2+10*B*a^9*b)*d^7*e^3+45*(120*A*a^7*b^3+45*B*a^8*b^2)*d^8*e^2+10*(210*A*a^6*b^4+120*B*a^7*b^3)*d^9*e+(252*A*a^5*b^5+210*B*a^6*b^4)*d^10)*x^6+1/5*(210*a^10*A*d^6*e^4+120*(10*A*a^9*b+B*a^10)*d^7*e^3+45*(45*A*a^8*b^2+10*B*a^9*b)*d^8*e^2+10*(120*A*a^7*b^3+45*B*a^8*b^2)*d^9*e+(210*A*a^6*b^4+120*B*a^7*b^3)*d^10)*x^5+1/4*(120*a^10*A*d^7*e^3+45*(10*A*a^9*b+B*a^10)*d^8*e^2+10*(45*A*a^8*b^2+10*B*a^9*b)*d^9*e+(120*A*a^7*b^3+45*B*a^8*b^2)*d^10)*x^4+1/3*(45*a^10*A*d^8*e^2+10*(10*A*a^9*b+B*a^10)*d^9*e+(45*A*a^8*b^2+10*B*a^9*b)*d^10)*x^3+1/2*(10*a^10*A*d^9*e+(10*A*a^9*b+B*a^10)*d^10)*x^2+a^10*A*d^10*x","B"
1079,1,2757,393,0.002000," ","int((b*x+a)^10*(B*x+A)*(e*x+d)^9,x)","\frac{B \,b^{10} e^{9} x^{21}}{21}+A \,a^{10} d^{9} x +\frac{\left(9 B \,b^{10} d \,e^{8}+\left(b^{10} A +10 a \,b^{9} B \right) e^{9}\right) x^{20}}{20}+\frac{\left(36 B \,b^{10} d^{2} e^{7}+9 \left(b^{10} A +10 a \,b^{9} B \right) d \,e^{8}+\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) e^{9}\right) x^{19}}{19}+\frac{\left(84 B \,b^{10} d^{3} e^{6}+36 \left(b^{10} A +10 a \,b^{9} B \right) d^{2} e^{7}+9 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d \,e^{8}+\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) e^{9}\right) x^{18}}{18}+\frac{\left(126 B \,b^{10} d^{4} e^{5}+84 \left(b^{10} A +10 a \,b^{9} B \right) d^{3} e^{6}+36 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{2} e^{7}+9 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d \,e^{8}+\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) e^{9}\right) x^{17}}{17}+\frac{\left(126 B \,b^{10} d^{5} e^{4}+126 \left(b^{10} A +10 a \,b^{9} B \right) d^{4} e^{5}+84 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{3} e^{6}+36 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{2} e^{7}+9 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d \,e^{8}+\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) e^{9}\right) x^{16}}{16}+\frac{\left(84 B \,b^{10} d^{6} e^{3}+126 \left(b^{10} A +10 a \,b^{9} B \right) d^{5} e^{4}+126 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{4} e^{5}+84 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{3} e^{6}+36 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{2} e^{7}+9 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d \,e^{8}+\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) e^{9}\right) x^{15}}{15}+\frac{\left(36 B \,b^{10} d^{7} e^{2}+84 \left(b^{10} A +10 a \,b^{9} B \right) d^{6} e^{3}+126 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{5} e^{4}+126 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{4} e^{5}+84 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{3} e^{6}+36 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{2} e^{7}+9 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d \,e^{8}+\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) e^{9}\right) x^{14}}{14}+\frac{\left(9 B \,b^{10} d^{8} e +36 \left(b^{10} A +10 a \,b^{9} B \right) d^{7} e^{2}+84 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{6} e^{3}+126 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{5} e^{4}+126 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{4} e^{5}+84 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{3} e^{6}+36 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{2} e^{7}+9 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d \,e^{8}+\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) e^{9}\right) x^{13}}{13}+\frac{\left(B \,b^{10} d^{9}+9 \left(b^{10} A +10 a \,b^{9} B \right) d^{8} e +36 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{7} e^{2}+84 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{6} e^{3}+126 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{5} e^{4}+126 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{4} e^{5}+84 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{3} e^{6}+36 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{2} e^{7}+9 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d \,e^{8}+\left(45 a^{8} b^{2} A +10 a^{9} b B \right) e^{9}\right) x^{12}}{12}+\frac{\left(\left(b^{10} A +10 a \,b^{9} B \right) d^{9}+9 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{8} e +36 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{7} e^{2}+84 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{6} e^{3}+126 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{5} e^{4}+126 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{4} e^{5}+84 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{3} e^{6}+36 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{2} e^{7}+9 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d \,e^{8}+\left(10 a^{9} b A +a^{10} B \right) e^{9}\right) x^{11}}{11}+\frac{\left(A \,a^{10} e^{9}+\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{9}+9 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{8} e +36 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{7} e^{2}+84 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{6} e^{3}+126 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{5} e^{4}+126 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{4} e^{5}+84 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{3} e^{6}+36 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{2} e^{7}+9 \left(10 a^{9} b A +a^{10} B \right) d \,e^{8}\right) x^{10}}{10}+\frac{\left(9 A \,a^{10} d \,e^{8}+\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{9}+9 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{8} e +36 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{7} e^{2}+84 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{6} e^{3}+126 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{5} e^{4}+126 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{4} e^{5}+84 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{3} e^{6}+36 \left(10 a^{9} b A +a^{10} B \right) d^{2} e^{7}\right) x^{9}}{9}+\frac{\left(36 A \,a^{10} d^{2} e^{7}+\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{9}+9 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{8} e +36 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{7} e^{2}+84 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{6} e^{3}+126 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{5} e^{4}+126 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{4} e^{5}+84 \left(10 a^{9} b A +a^{10} B \right) d^{3} e^{6}\right) x^{8}}{8}+\frac{\left(84 A \,a^{10} d^{3} e^{6}+\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{9}+9 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{8} e +36 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{7} e^{2}+84 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{6} e^{3}+126 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{5} e^{4}+126 \left(10 a^{9} b A +a^{10} B \right) d^{4} e^{5}\right) x^{7}}{7}+\frac{\left(126 A \,a^{10} d^{4} e^{5}+\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{9}+9 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{8} e +36 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{7} e^{2}+84 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{6} e^{3}+126 \left(10 a^{9} b A +a^{10} B \right) d^{5} e^{4}\right) x^{6}}{6}+\frac{\left(126 A \,a^{10} d^{5} e^{4}+\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{9}+9 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{8} e +36 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{7} e^{2}+84 \left(10 a^{9} b A +a^{10} B \right) d^{6} e^{3}\right) x^{5}}{5}+\frac{\left(84 A \,a^{10} d^{6} e^{3}+\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{9}+9 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{8} e +36 \left(10 a^{9} b A +a^{10} B \right) d^{7} e^{2}\right) x^{4}}{4}+\frac{\left(36 A \,a^{10} d^{7} e^{2}+\left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{9}+9 \left(10 a^{9} b A +a^{10} B \right) d^{8} e \right) x^{3}}{3}+\frac{\left(9 A \,a^{10} d^{8} e +\left(10 a^{9} b A +a^{10} B \right) d^{9}\right) x^{2}}{2}"," ",0,"1/21*b^10*B*e^9*x^21+1/20*((A*b^10+10*B*a*b^9)*e^9+9*b^10*B*d*e^8)*x^20+1/19*((10*A*a*b^9+45*B*a^2*b^8)*e^9+9*(A*b^10+10*B*a*b^9)*d*e^8+36*b^10*B*d^2*e^7)*x^19+1/18*((45*A*a^2*b^8+120*B*a^3*b^7)*e^9+9*(10*A*a*b^9+45*B*a^2*b^8)*d*e^8+36*(A*b^10+10*B*a*b^9)*d^2*e^7+84*b^10*B*d^3*e^6)*x^18+1/17*((120*A*a^3*b^7+210*B*a^4*b^6)*e^9+9*(45*A*a^2*b^8+120*B*a^3*b^7)*d*e^8+36*(10*A*a*b^9+45*B*a^2*b^8)*d^2*e^7+84*(A*b^10+10*B*a*b^9)*d^3*e^6+126*b^10*B*d^4*e^5)*x^17+1/16*((210*A*a^4*b^6+252*B*a^5*b^5)*e^9+9*(120*A*a^3*b^7+210*B*a^4*b^6)*d*e^8+36*(45*A*a^2*b^8+120*B*a^3*b^7)*d^2*e^7+84*(10*A*a*b^9+45*B*a^2*b^8)*d^3*e^6+126*(A*b^10+10*B*a*b^9)*d^4*e^5+126*b^10*B*d^5*e^4)*x^16+1/15*((252*A*a^5*b^5+210*B*a^6*b^4)*e^9+9*(210*A*a^4*b^6+252*B*a^5*b^5)*d*e^8+36*(120*A*a^3*b^7+210*B*a^4*b^6)*d^2*e^7+84*(45*A*a^2*b^8+120*B*a^3*b^7)*d^3*e^6+126*(10*A*a*b^9+45*B*a^2*b^8)*d^4*e^5+126*(A*b^10+10*B*a*b^9)*d^5*e^4+84*b^10*B*d^6*e^3)*x^15+1/14*((210*A*a^6*b^4+120*B*a^7*b^3)*e^9+9*(252*A*a^5*b^5+210*B*a^6*b^4)*d*e^8+36*(210*A*a^4*b^6+252*B*a^5*b^5)*d^2*e^7+84*(120*A*a^3*b^7+210*B*a^4*b^6)*d^3*e^6+126*(45*A*a^2*b^8+120*B*a^3*b^7)*d^4*e^5+126*(10*A*a*b^9+45*B*a^2*b^8)*d^5*e^4+84*(A*b^10+10*B*a*b^9)*d^6*e^3+36*b^10*B*d^7*e^2)*x^14+1/13*((120*A*a^7*b^3+45*B*a^8*b^2)*e^9+9*(210*A*a^6*b^4+120*B*a^7*b^3)*d*e^8+36*(252*A*a^5*b^5+210*B*a^6*b^4)*d^2*e^7+84*(210*A*a^4*b^6+252*B*a^5*b^5)*d^3*e^6+126*(120*A*a^3*b^7+210*B*a^4*b^6)*d^4*e^5+126*(45*A*a^2*b^8+120*B*a^3*b^7)*d^5*e^4+84*(10*A*a*b^9+45*B*a^2*b^8)*d^6*e^3+36*(A*b^10+10*B*a*b^9)*d^7*e^2+9*b^10*B*d^8*e)*x^13+1/12*((45*A*a^8*b^2+10*B*a^9*b)*e^9+9*(120*A*a^7*b^3+45*B*a^8*b^2)*d*e^8+36*(210*A*a^6*b^4+120*B*a^7*b^3)*d^2*e^7+84*(252*A*a^5*b^5+210*B*a^6*b^4)*d^3*e^6+126*(210*A*a^4*b^6+252*B*a^5*b^5)*d^4*e^5+126*(120*A*a^3*b^7+210*B*a^4*b^6)*d^5*e^4+84*(45*A*a^2*b^8+120*B*a^3*b^7)*d^6*e^3+36*(10*A*a*b^9+45*B*a^2*b^8)*d^7*e^2+9*(A*b^10+10*B*a*b^9)*d^8*e+b^10*B*d^9)*x^12+1/11*((10*A*a^9*b+B*a^10)*e^9+9*(45*A*a^8*b^2+10*B*a^9*b)*d*e^8+36*(120*A*a^7*b^3+45*B*a^8*b^2)*d^2*e^7+84*(210*A*a^6*b^4+120*B*a^7*b^3)*d^3*e^6+126*(252*A*a^5*b^5+210*B*a^6*b^4)*d^4*e^5+126*(210*A*a^4*b^6+252*B*a^5*b^5)*d^5*e^4+84*(120*A*a^3*b^7+210*B*a^4*b^6)*d^6*e^3+36*(45*A*a^2*b^8+120*B*a^3*b^7)*d^7*e^2+9*(10*A*a*b^9+45*B*a^2*b^8)*d^8*e+(A*b^10+10*B*a*b^9)*d^9)*x^11+1/10*(a^10*A*e^9+9*(10*A*a^9*b+B*a^10)*d*e^8+36*(45*A*a^8*b^2+10*B*a^9*b)*d^2*e^7+84*(120*A*a^7*b^3+45*B*a^8*b^2)*d^3*e^6+126*(210*A*a^6*b^4+120*B*a^7*b^3)*d^4*e^5+126*(252*A*a^5*b^5+210*B*a^6*b^4)*d^5*e^4+84*(210*A*a^4*b^6+252*B*a^5*b^5)*d^6*e^3+36*(120*A*a^3*b^7+210*B*a^4*b^6)*d^7*e^2+9*(45*A*a^2*b^8+120*B*a^3*b^7)*d^8*e+(10*A*a*b^9+45*B*a^2*b^8)*d^9)*x^10+1/9*(9*a^10*A*d*e^8+36*(10*A*a^9*b+B*a^10)*d^2*e^7+84*(45*A*a^8*b^2+10*B*a^9*b)*d^3*e^6+126*(120*A*a^7*b^3+45*B*a^8*b^2)*d^4*e^5+126*(210*A*a^6*b^4+120*B*a^7*b^3)*d^5*e^4+84*(252*A*a^5*b^5+210*B*a^6*b^4)*d^6*e^3+36*(210*A*a^4*b^6+252*B*a^5*b^5)*d^7*e^2+9*(120*A*a^3*b^7+210*B*a^4*b^6)*d^8*e+(45*A*a^2*b^8+120*B*a^3*b^7)*d^9)*x^9+1/8*(36*a^10*A*d^2*e^7+84*(10*A*a^9*b+B*a^10)*d^3*e^6+126*(45*A*a^8*b^2+10*B*a^9*b)*d^4*e^5+126*(120*A*a^7*b^3+45*B*a^8*b^2)*d^5*e^4+84*(210*A*a^6*b^4+120*B*a^7*b^3)*d^6*e^3+36*(252*A*a^5*b^5+210*B*a^6*b^4)*d^7*e^2+9*(210*A*a^4*b^6+252*B*a^5*b^5)*d^8*e+(120*A*a^3*b^7+210*B*a^4*b^6)*d^9)*x^8+1/7*(84*a^10*A*d^3*e^6+126*(10*A*a^9*b+B*a^10)*d^4*e^5+126*(45*A*a^8*b^2+10*B*a^9*b)*d^5*e^4+84*(120*A*a^7*b^3+45*B*a^8*b^2)*d^6*e^3+36*(210*A*a^6*b^4+120*B*a^7*b^3)*d^7*e^2+9*(252*A*a^5*b^5+210*B*a^6*b^4)*d^8*e+(210*A*a^4*b^6+252*B*a^5*b^5)*d^9)*x^7+1/6*(126*a^10*A*d^4*e^5+126*(10*A*a^9*b+B*a^10)*d^5*e^4+84*(45*A*a^8*b^2+10*B*a^9*b)*d^6*e^3+36*(120*A*a^7*b^3+45*B*a^8*b^2)*d^7*e^2+9*(210*A*a^6*b^4+120*B*a^7*b^3)*d^8*e+(252*A*a^5*b^5+210*B*a^6*b^4)*d^9)*x^6+1/5*(126*a^10*A*d^5*e^4+84*(10*A*a^9*b+B*a^10)*d^6*e^3+36*(45*A*a^8*b^2+10*B*a^9*b)*d^7*e^2+9*(120*A*a^7*b^3+45*B*a^8*b^2)*d^8*e+(210*A*a^6*b^4+120*B*a^7*b^3)*d^9)*x^5+1/4*(84*a^10*A*d^6*e^3+36*(10*A*a^9*b+B*a^10)*d^7*e^2+9*(45*A*a^8*b^2+10*B*a^9*b)*d^8*e+(120*A*a^7*b^3+45*B*a^8*b^2)*d^9)*x^4+1/3*(36*a^10*A*d^7*e^2+9*(10*A*a^9*b+B*a^10)*d^8*e+(45*A*a^8*b^2+10*B*a^9*b)*d^9)*x^3+1/2*(9*a^10*A*d^8*e+(10*A*a^9*b+B*a^10)*d^9)*x^2+a^10*A*d^9*x","B"
1080,1,2473,354,0.003000," ","int((b*x+a)^10*(B*x+A)*(e*x+d)^8,x)","\frac{B \,b^{10} e^{8} x^{20}}{20}+A \,a^{10} d^{8} x +\frac{\left(8 B \,b^{10} d \,e^{7}+\left(b^{10} A +10 a \,b^{9} B \right) e^{8}\right) x^{19}}{19}+\frac{\left(28 B \,b^{10} d^{2} e^{6}+8 \left(b^{10} A +10 a \,b^{9} B \right) d \,e^{7}+\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) e^{8}\right) x^{18}}{18}+\frac{\left(56 B \,b^{10} d^{3} e^{5}+28 \left(b^{10} A +10 a \,b^{9} B \right) d^{2} e^{6}+8 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d \,e^{7}+\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) e^{8}\right) x^{17}}{17}+\frac{\left(70 B \,b^{10} d^{4} e^{4}+56 \left(b^{10} A +10 a \,b^{9} B \right) d^{3} e^{5}+28 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{2} e^{6}+8 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d \,e^{7}+\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) e^{8}\right) x^{16}}{16}+\frac{\left(56 B \,b^{10} d^{5} e^{3}+70 \left(b^{10} A +10 a \,b^{9} B \right) d^{4} e^{4}+56 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{3} e^{5}+28 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{2} e^{6}+8 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d \,e^{7}+\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) e^{8}\right) x^{15}}{15}+\frac{\left(28 B \,b^{10} d^{6} e^{2}+56 \left(b^{10} A +10 a \,b^{9} B \right) d^{5} e^{3}+70 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{4} e^{4}+56 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{3} e^{5}+28 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{2} e^{6}+8 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d \,e^{7}+\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) e^{8}\right) x^{14}}{14}+\frac{\left(8 B \,b^{10} d^{7} e +28 \left(b^{10} A +10 a \,b^{9} B \right) d^{6} e^{2}+56 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{5} e^{3}+70 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{4} e^{4}+56 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{3} e^{5}+28 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{2} e^{6}+8 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d \,e^{7}+\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) e^{8}\right) x^{13}}{13}+\frac{\left(B \,b^{10} d^{8}+8 \left(b^{10} A +10 a \,b^{9} B \right) d^{7} e +28 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{6} e^{2}+56 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{5} e^{3}+70 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{4} e^{4}+56 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{3} e^{5}+28 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{2} e^{6}+8 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d \,e^{7}+\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) e^{8}\right) x^{12}}{12}+\frac{\left(\left(b^{10} A +10 a \,b^{9} B \right) d^{8}+8 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{7} e +28 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{6} e^{2}+56 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{5} e^{3}+70 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{4} e^{4}+56 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{3} e^{5}+28 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{2} e^{6}+8 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d \,e^{7}+\left(45 a^{8} b^{2} A +10 a^{9} b B \right) e^{8}\right) x^{11}}{11}+\frac{\left(\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{8}+8 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{7} e +28 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{6} e^{2}+56 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{5} e^{3}+70 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{4} e^{4}+56 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{3} e^{5}+28 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{2} e^{6}+8 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d \,e^{7}+\left(10 a^{9} b A +a^{10} B \right) e^{8}\right) x^{10}}{10}+\frac{\left(A \,a^{10} e^{8}+\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{8}+8 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{7} e +28 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{6} e^{2}+56 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{5} e^{3}+70 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{4} e^{4}+56 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{3} e^{5}+28 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{2} e^{6}+8 \left(10 a^{9} b A +a^{10} B \right) d \,e^{7}\right) x^{9}}{9}+\frac{\left(8 A \,a^{10} d \,e^{7}+\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{8}+8 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{7} e +28 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{6} e^{2}+56 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{5} e^{3}+70 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{4} e^{4}+56 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{3} e^{5}+28 \left(10 a^{9} b A +a^{10} B \right) d^{2} e^{6}\right) x^{8}}{8}+\frac{\left(28 A \,a^{10} d^{2} e^{6}+\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{8}+8 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{7} e +28 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{6} e^{2}+56 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{5} e^{3}+70 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{4} e^{4}+56 \left(10 a^{9} b A +a^{10} B \right) d^{3} e^{5}\right) x^{7}}{7}+\frac{\left(56 A \,a^{10} d^{3} e^{5}+\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{8}+8 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{7} e +28 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{6} e^{2}+56 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{5} e^{3}+70 \left(10 a^{9} b A +a^{10} B \right) d^{4} e^{4}\right) x^{6}}{6}+\frac{\left(70 A \,a^{10} d^{4} e^{4}+\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{8}+8 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{7} e +28 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{6} e^{2}+56 \left(10 a^{9} b A +a^{10} B \right) d^{5} e^{3}\right) x^{5}}{5}+\frac{\left(56 A \,a^{10} d^{5} e^{3}+\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{8}+8 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{7} e +28 \left(10 a^{9} b A +a^{10} B \right) d^{6} e^{2}\right) x^{4}}{4}+\frac{\left(28 A \,a^{10} d^{6} e^{2}+\left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{8}+8 \left(10 a^{9} b A +a^{10} B \right) d^{7} e \right) x^{3}}{3}+\frac{\left(8 A \,a^{10} d^{7} e +\left(10 a^{9} b A +a^{10} B \right) d^{8}\right) x^{2}}{2}"," ",0,"1/20*b^10*B*e^8*x^20+1/19*((A*b^10+10*B*a*b^9)*e^8+8*b^10*B*d*e^7)*x^19+1/18*((10*A*a*b^9+45*B*a^2*b^8)*e^8+8*(A*b^10+10*B*a*b^9)*d*e^7+28*b^10*B*d^2*e^6)*x^18+1/17*((45*A*a^2*b^8+120*B*a^3*b^7)*e^8+8*(10*A*a*b^9+45*B*a^2*b^8)*d*e^7+28*(A*b^10+10*B*a*b^9)*d^2*e^6+56*b^10*B*d^3*e^5)*x^17+1/16*((120*A*a^3*b^7+210*B*a^4*b^6)*e^8+8*(45*A*a^2*b^8+120*B*a^3*b^7)*d*e^7+28*(10*A*a*b^9+45*B*a^2*b^8)*d^2*e^6+56*(A*b^10+10*B*a*b^9)*d^3*e^5+70*b^10*B*d^4*e^4)*x^16+1/15*((210*A*a^4*b^6+252*B*a^5*b^5)*e^8+8*(120*A*a^3*b^7+210*B*a^4*b^6)*d*e^7+28*(45*A*a^2*b^8+120*B*a^3*b^7)*d^2*e^6+56*(10*A*a*b^9+45*B*a^2*b^8)*d^3*e^5+70*(A*b^10+10*B*a*b^9)*d^4*e^4+56*b^10*B*d^5*e^3)*x^15+1/14*((252*A*a^5*b^5+210*B*a^6*b^4)*e^8+8*(210*A*a^4*b^6+252*B*a^5*b^5)*d*e^7+28*(120*A*a^3*b^7+210*B*a^4*b^6)*d^2*e^6+56*(45*A*a^2*b^8+120*B*a^3*b^7)*d^3*e^5+70*(10*A*a*b^9+45*B*a^2*b^8)*d^4*e^4+56*(A*b^10+10*B*a*b^9)*d^5*e^3+28*b^10*B*d^6*e^2)*x^14+1/13*((210*A*a^6*b^4+120*B*a^7*b^3)*e^8+8*(252*A*a^5*b^5+210*B*a^6*b^4)*d*e^7+28*(210*A*a^4*b^6+252*B*a^5*b^5)*d^2*e^6+56*(120*A*a^3*b^7+210*B*a^4*b^6)*d^3*e^5+70*(45*A*a^2*b^8+120*B*a^3*b^7)*d^4*e^4+56*(10*A*a*b^9+45*B*a^2*b^8)*d^5*e^3+28*(A*b^10+10*B*a*b^9)*d^6*e^2+8*b^10*B*d^7*e)*x^13+1/12*((120*A*a^7*b^3+45*B*a^8*b^2)*e^8+8*(210*A*a^6*b^4+120*B*a^7*b^3)*d*e^7+28*(252*A*a^5*b^5+210*B*a^6*b^4)*d^2*e^6+56*(210*A*a^4*b^6+252*B*a^5*b^5)*d^3*e^5+70*(120*A*a^3*b^7+210*B*a^4*b^6)*d^4*e^4+56*(45*A*a^2*b^8+120*B*a^3*b^7)*d^5*e^3+28*(10*A*a*b^9+45*B*a^2*b^8)*d^6*e^2+8*(A*b^10+10*B*a*b^9)*d^7*e+b^10*B*d^8)*x^12+1/11*((45*A*a^8*b^2+10*B*a^9*b)*e^8+8*(120*A*a^7*b^3+45*B*a^8*b^2)*d*e^7+28*(210*A*a^6*b^4+120*B*a^7*b^3)*d^2*e^6+56*(252*A*a^5*b^5+210*B*a^6*b^4)*d^3*e^5+70*(210*A*a^4*b^6+252*B*a^5*b^5)*d^4*e^4+56*(120*A*a^3*b^7+210*B*a^4*b^6)*d^5*e^3+28*(45*A*a^2*b^8+120*B*a^3*b^7)*d^6*e^2+8*(10*A*a*b^9+45*B*a^2*b^8)*d^7*e+(A*b^10+10*B*a*b^9)*d^8)*x^11+1/10*((10*A*a^9*b+B*a^10)*e^8+8*(45*A*a^8*b^2+10*B*a^9*b)*d*e^7+28*(120*A*a^7*b^3+45*B*a^8*b^2)*d^2*e^6+56*(210*A*a^6*b^4+120*B*a^7*b^3)*d^3*e^5+70*(252*A*a^5*b^5+210*B*a^6*b^4)*d^4*e^4+56*(210*A*a^4*b^6+252*B*a^5*b^5)*d^5*e^3+28*(120*A*a^3*b^7+210*B*a^4*b^6)*d^6*e^2+8*(45*A*a^2*b^8+120*B*a^3*b^7)*d^7*e+(10*A*a*b^9+45*B*a^2*b^8)*d^8)*x^10+1/9*(a^10*A*e^8+8*(10*A*a^9*b+B*a^10)*d*e^7+28*(45*A*a^8*b^2+10*B*a^9*b)*d^2*e^6+56*(120*A*a^7*b^3+45*B*a^8*b^2)*d^3*e^5+70*(210*A*a^6*b^4+120*B*a^7*b^3)*d^4*e^4+56*(252*A*a^5*b^5+210*B*a^6*b^4)*d^5*e^3+28*(210*A*a^4*b^6+252*B*a^5*b^5)*d^6*e^2+8*(120*A*a^3*b^7+210*B*a^4*b^6)*d^7*e+(45*A*a^2*b^8+120*B*a^3*b^7)*d^8)*x^9+1/8*(8*a^10*A*d*e^7+28*(10*A*a^9*b+B*a^10)*d^2*e^6+56*(45*A*a^8*b^2+10*B*a^9*b)*d^3*e^5+70*(120*A*a^7*b^3+45*B*a^8*b^2)*d^4*e^4+56*(210*A*a^6*b^4+120*B*a^7*b^3)*d^5*e^3+28*(252*A*a^5*b^5+210*B*a^6*b^4)*d^6*e^2+8*(210*A*a^4*b^6+252*B*a^5*b^5)*d^7*e+(120*A*a^3*b^7+210*B*a^4*b^6)*d^8)*x^8+1/7*(28*a^10*A*d^2*e^6+56*(10*A*a^9*b+B*a^10)*d^3*e^5+70*(45*A*a^8*b^2+10*B*a^9*b)*d^4*e^4+56*(120*A*a^7*b^3+45*B*a^8*b^2)*d^5*e^3+28*(210*A*a^6*b^4+120*B*a^7*b^3)*d^6*e^2+8*(252*A*a^5*b^5+210*B*a^6*b^4)*d^7*e+(210*A*a^4*b^6+252*B*a^5*b^5)*d^8)*x^7+1/6*(56*a^10*A*d^3*e^5+70*(10*A*a^9*b+B*a^10)*d^4*e^4+56*(45*A*a^8*b^2+10*B*a^9*b)*d^5*e^3+28*(120*A*a^7*b^3+45*B*a^8*b^2)*d^6*e^2+8*(210*A*a^6*b^4+120*B*a^7*b^3)*d^7*e+(252*A*a^5*b^5+210*B*a^6*b^4)*d^8)*x^6+1/5*(70*a^10*A*d^4*e^4+56*(10*A*a^9*b+B*a^10)*d^5*e^3+28*(45*A*a^8*b^2+10*B*a^9*b)*d^6*e^2+8*(120*A*a^7*b^3+45*B*a^8*b^2)*d^7*e+(210*A*a^6*b^4+120*B*a^7*b^3)*d^8)*x^5+1/4*(56*a^10*A*d^5*e^3+28*(10*A*a^9*b+B*a^10)*d^6*e^2+8*(45*A*a^8*b^2+10*B*a^9*b)*d^7*e+(120*A*a^7*b^3+45*B*a^8*b^2)*d^8)*x^4+1/3*(28*a^10*A*d^6*e^2+8*(10*A*a^9*b+B*a^10)*d^7*e+(45*A*a^8*b^2+10*B*a^9*b)*d^8)*x^3+1/2*(8*a^10*A*d^7*e+(10*A*a^9*b+B*a^10)*d^8)*x^2+a^10*A*d^8*x","B"
1081,1,2189,311,0.003000," ","int((b*x+a)^10*(B*x+A)*(e*x+d)^7,x)","\frac{B \,b^{10} e^{7} x^{19}}{19}+A \,a^{10} d^{7} x +\frac{\left(7 B \,b^{10} d \,e^{6}+\left(b^{10} A +10 a \,b^{9} B \right) e^{7}\right) x^{18}}{18}+\frac{\left(21 B \,b^{10} d^{2} e^{5}+7 \left(b^{10} A +10 a \,b^{9} B \right) d \,e^{6}+\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) e^{7}\right) x^{17}}{17}+\frac{\left(35 B \,b^{10} d^{3} e^{4}+21 \left(b^{10} A +10 a \,b^{9} B \right) d^{2} e^{5}+7 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d \,e^{6}+\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) e^{7}\right) x^{16}}{16}+\frac{\left(35 B \,b^{10} d^{4} e^{3}+35 \left(b^{10} A +10 a \,b^{9} B \right) d^{3} e^{4}+21 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{2} e^{5}+7 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d \,e^{6}+\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) e^{7}\right) x^{15}}{15}+\frac{\left(21 B \,b^{10} d^{5} e^{2}+35 \left(b^{10} A +10 a \,b^{9} B \right) d^{4} e^{3}+35 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{3} e^{4}+21 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{2} e^{5}+7 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d \,e^{6}+\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) e^{7}\right) x^{14}}{14}+\frac{\left(7 B \,b^{10} d^{6} e +21 \left(b^{10} A +10 a \,b^{9} B \right) d^{5} e^{2}+35 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{4} e^{3}+35 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{3} e^{4}+21 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{2} e^{5}+7 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d \,e^{6}+\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) e^{7}\right) x^{13}}{13}+\frac{\left(B \,b^{10} d^{7}+7 \left(b^{10} A +10 a \,b^{9} B \right) d^{6} e +21 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{5} e^{2}+35 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{4} e^{3}+35 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{3} e^{4}+21 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{2} e^{5}+7 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d \,e^{6}+\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) e^{7}\right) x^{12}}{12}+\frac{\left(\left(b^{10} A +10 a \,b^{9} B \right) d^{7}+7 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{6} e +21 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{5} e^{2}+35 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{4} e^{3}+35 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{3} e^{4}+21 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{2} e^{5}+7 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d \,e^{6}+\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) e^{7}\right) x^{11}}{11}+\frac{\left(\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{7}+7 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{6} e +21 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{5} e^{2}+35 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{4} e^{3}+35 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{3} e^{4}+21 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{2} e^{5}+7 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d \,e^{6}+\left(45 a^{8} b^{2} A +10 a^{9} b B \right) e^{7}\right) x^{10}}{10}+\frac{\left(\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{7}+7 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{6} e +21 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{5} e^{2}+35 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{4} e^{3}+35 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{3} e^{4}+21 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{2} e^{5}+7 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d \,e^{6}+\left(10 a^{9} b A +a^{10} B \right) e^{7}\right) x^{9}}{9}+\frac{\left(A \,a^{10} e^{7}+\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{7}+7 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{6} e +21 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{5} e^{2}+35 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{4} e^{3}+35 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{3} e^{4}+21 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{2} e^{5}+7 \left(10 a^{9} b A +a^{10} B \right) d \,e^{6}\right) x^{8}}{8}+\frac{\left(7 A \,a^{10} d \,e^{6}+\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{7}+7 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{6} e +21 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{5} e^{2}+35 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{4} e^{3}+35 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{3} e^{4}+21 \left(10 a^{9} b A +a^{10} B \right) d^{2} e^{5}\right) x^{7}}{7}+\frac{\left(21 A \,a^{10} d^{2} e^{5}+\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{7}+7 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{6} e +21 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{5} e^{2}+35 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{4} e^{3}+35 \left(10 a^{9} b A +a^{10} B \right) d^{3} e^{4}\right) x^{6}}{6}+\frac{\left(35 A \,a^{10} d^{3} e^{4}+\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{7}+7 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{6} e +21 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{5} e^{2}+35 \left(10 a^{9} b A +a^{10} B \right) d^{4} e^{3}\right) x^{5}}{5}+\frac{\left(35 A \,a^{10} d^{4} e^{3}+\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{7}+7 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{6} e +21 \left(10 a^{9} b A +a^{10} B \right) d^{5} e^{2}\right) x^{4}}{4}+\frac{\left(21 A \,a^{10} d^{5} e^{2}+\left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{7}+7 \left(10 a^{9} b A +a^{10} B \right) d^{6} e \right) x^{3}}{3}+\frac{\left(7 A \,a^{10} d^{6} e +\left(10 a^{9} b A +a^{10} B \right) d^{7}\right) x^{2}}{2}"," ",0,"1/19*b^10*B*e^7*x^19+1/18*((A*b^10+10*B*a*b^9)*e^7+7*b^10*B*d*e^6)*x^18+1/17*((10*A*a*b^9+45*B*a^2*b^8)*e^7+7*(A*b^10+10*B*a*b^9)*d*e^6+21*b^10*B*d^2*e^5)*x^17+1/16*((45*A*a^2*b^8+120*B*a^3*b^7)*e^7+7*(10*A*a*b^9+45*B*a^2*b^8)*d*e^6+21*(A*b^10+10*B*a*b^9)*d^2*e^5+35*b^10*B*d^3*e^4)*x^16+1/15*((120*A*a^3*b^7+210*B*a^4*b^6)*e^7+7*(45*A*a^2*b^8+120*B*a^3*b^7)*d*e^6+21*(10*A*a*b^9+45*B*a^2*b^8)*d^2*e^5+35*(A*b^10+10*B*a*b^9)*d^3*e^4+35*b^10*B*d^4*e^3)*x^15+1/14*((210*A*a^4*b^6+252*B*a^5*b^5)*e^7+7*(120*A*a^3*b^7+210*B*a^4*b^6)*d*e^6+21*(45*A*a^2*b^8+120*B*a^3*b^7)*d^2*e^5+35*(10*A*a*b^9+45*B*a^2*b^8)*d^3*e^4+35*(A*b^10+10*B*a*b^9)*d^4*e^3+21*b^10*B*d^5*e^2)*x^14+1/13*((252*A*a^5*b^5+210*B*a^6*b^4)*e^7+7*(210*A*a^4*b^6+252*B*a^5*b^5)*d*e^6+21*(120*A*a^3*b^7+210*B*a^4*b^6)*d^2*e^5+35*(45*A*a^2*b^8+120*B*a^3*b^7)*d^3*e^4+35*(10*A*a*b^9+45*B*a^2*b^8)*d^4*e^3+21*(A*b^10+10*B*a*b^9)*d^5*e^2+7*b^10*B*d^6*e)*x^13+1/12*((210*A*a^6*b^4+120*B*a^7*b^3)*e^7+7*(252*A*a^5*b^5+210*B*a^6*b^4)*d*e^6+21*(210*A*a^4*b^6+252*B*a^5*b^5)*d^2*e^5+35*(120*A*a^3*b^7+210*B*a^4*b^6)*d^3*e^4+35*(45*A*a^2*b^8+120*B*a^3*b^7)*d^4*e^3+21*(10*A*a*b^9+45*B*a^2*b^8)*d^5*e^2+7*(A*b^10+10*B*a*b^9)*d^6*e+b^10*B*d^7)*x^12+1/11*((120*A*a^7*b^3+45*B*a^8*b^2)*e^7+7*(210*A*a^6*b^4+120*B*a^7*b^3)*d*e^6+21*(252*A*a^5*b^5+210*B*a^6*b^4)*d^2*e^5+35*(210*A*a^4*b^6+252*B*a^5*b^5)*d^3*e^4+35*(120*A*a^3*b^7+210*B*a^4*b^6)*d^4*e^3+21*(45*A*a^2*b^8+120*B*a^3*b^7)*d^5*e^2+7*(10*A*a*b^9+45*B*a^2*b^8)*d^6*e+(A*b^10+10*B*a*b^9)*d^7)*x^11+1/10*((45*A*a^8*b^2+10*B*a^9*b)*e^7+7*(120*A*a^7*b^3+45*B*a^8*b^2)*d*e^6+21*(210*A*a^6*b^4+120*B*a^7*b^3)*d^2*e^5+35*(252*A*a^5*b^5+210*B*a^6*b^4)*d^3*e^4+35*(210*A*a^4*b^6+252*B*a^5*b^5)*d^4*e^3+21*(120*A*a^3*b^7+210*B*a^4*b^6)*d^5*e^2+7*(45*A*a^2*b^8+120*B*a^3*b^7)*d^6*e+(10*A*a*b^9+45*B*a^2*b^8)*d^7)*x^10+1/9*((10*A*a^9*b+B*a^10)*e^7+7*(45*A*a^8*b^2+10*B*a^9*b)*d*e^6+21*(120*A*a^7*b^3+45*B*a^8*b^2)*d^2*e^5+35*(210*A*a^6*b^4+120*B*a^7*b^3)*d^3*e^4+35*(252*A*a^5*b^5+210*B*a^6*b^4)*d^4*e^3+21*(210*A*a^4*b^6+252*B*a^5*b^5)*d^5*e^2+7*(120*A*a^3*b^7+210*B*a^4*b^6)*d^6*e+(45*A*a^2*b^8+120*B*a^3*b^7)*d^7)*x^9+1/8*(a^10*A*e^7+7*(10*A*a^9*b+B*a^10)*d*e^6+21*(45*A*a^8*b^2+10*B*a^9*b)*d^2*e^5+35*(120*A*a^7*b^3+45*B*a^8*b^2)*d^3*e^4+35*(210*A*a^6*b^4+120*B*a^7*b^3)*d^4*e^3+21*(252*A*a^5*b^5+210*B*a^6*b^4)*d^5*e^2+7*(210*A*a^4*b^6+252*B*a^5*b^5)*d^6*e+(120*A*a^3*b^7+210*B*a^4*b^6)*d^7)*x^8+1/7*(7*a^10*A*d*e^6+21*(10*A*a^9*b+B*a^10)*d^2*e^5+35*(45*A*a^8*b^2+10*B*a^9*b)*d^3*e^4+35*(120*A*a^7*b^3+45*B*a^8*b^2)*d^4*e^3+21*(210*A*a^6*b^4+120*B*a^7*b^3)*d^5*e^2+7*(252*A*a^5*b^5+210*B*a^6*b^4)*d^6*e+(210*A*a^4*b^6+252*B*a^5*b^5)*d^7)*x^7+1/6*(21*a^10*A*d^2*e^5+35*(10*A*a^9*b+B*a^10)*d^3*e^4+35*(45*A*a^8*b^2+10*B*a^9*b)*d^4*e^3+21*(120*A*a^7*b^3+45*B*a^8*b^2)*d^5*e^2+7*(210*A*a^6*b^4+120*B*a^7*b^3)*d^6*e+(252*A*a^5*b^5+210*B*a^6*b^4)*d^7)*x^6+1/5*(35*a^10*A*d^3*e^4+35*(10*A*a^9*b+B*a^10)*d^4*e^3+21*(45*A*a^8*b^2+10*B*a^9*b)*d^5*e^2+7*(120*A*a^7*b^3+45*B*a^8*b^2)*d^6*e+(210*A*a^6*b^4+120*B*a^7*b^3)*d^7)*x^5+1/4*(35*a^10*A*d^4*e^3+21*(10*A*a^9*b+B*a^10)*d^5*e^2+7*(45*A*a^8*b^2+10*B*a^9*b)*d^6*e+(120*A*a^7*b^3+45*B*a^8*b^2)*d^7)*x^4+1/3*(21*a^10*A*d^5*e^2+7*(10*A*a^9*b+B*a^10)*d^6*e+(45*A*a^8*b^2+10*B*a^9*b)*d^7)*x^3+1/2*(7*a^10*A*d^6*e+(10*A*a^9*b+B*a^10)*d^7)*x^2+a^10*A*d^7*x","B"
1082,1,1905,274,0.003000," ","int((b*x+a)^10*(B*x+A)*(e*x+d)^6,x)","\frac{B \,b^{10} e^{6} x^{18}}{18}+A \,a^{10} d^{6} x +\frac{\left(6 B \,b^{10} d \,e^{5}+\left(b^{10} A +10 a \,b^{9} B \right) e^{6}\right) x^{17}}{17}+\frac{\left(15 B \,b^{10} d^{2} e^{4}+6 \left(b^{10} A +10 a \,b^{9} B \right) d \,e^{5}+\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) e^{6}\right) x^{16}}{16}+\frac{\left(20 B \,b^{10} d^{3} e^{3}+15 \left(b^{10} A +10 a \,b^{9} B \right) d^{2} e^{4}+6 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d \,e^{5}+\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) e^{6}\right) x^{15}}{15}+\frac{\left(15 B \,b^{10} d^{4} e^{2}+20 \left(b^{10} A +10 a \,b^{9} B \right) d^{3} e^{3}+15 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{2} e^{4}+6 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d \,e^{5}+\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) e^{6}\right) x^{14}}{14}+\frac{\left(6 B \,b^{10} d^{5} e +15 \left(b^{10} A +10 a \,b^{9} B \right) d^{4} e^{2}+20 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{3} e^{3}+15 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{2} e^{4}+6 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d \,e^{5}+\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) e^{6}\right) x^{13}}{13}+\frac{\left(B \,b^{10} d^{6}+6 \left(b^{10} A +10 a \,b^{9} B \right) d^{5} e +15 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{4} e^{2}+20 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{3} e^{3}+15 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{2} e^{4}+6 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d \,e^{5}+\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) e^{6}\right) x^{12}}{12}+\frac{\left(\left(b^{10} A +10 a \,b^{9} B \right) d^{6}+6 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{5} e +15 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{4} e^{2}+20 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{3} e^{3}+15 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{2} e^{4}+6 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d \,e^{5}+\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) e^{6}\right) x^{11}}{11}+\frac{\left(\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{6}+6 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{5} e +15 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{4} e^{2}+20 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{3} e^{3}+15 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{2} e^{4}+6 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d \,e^{5}+\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) e^{6}\right) x^{10}}{10}+\frac{\left(\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{6}+6 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{5} e +15 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{4} e^{2}+20 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{3} e^{3}+15 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{2} e^{4}+6 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d \,e^{5}+\left(45 a^{8} b^{2} A +10 a^{9} b B \right) e^{6}\right) x^{9}}{9}+\frac{\left(\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{6}+6 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{5} e +15 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{4} e^{2}+20 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{3} e^{3}+15 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{2} e^{4}+6 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d \,e^{5}+\left(10 a^{9} b A +a^{10} B \right) e^{6}\right) x^{8}}{8}+\frac{\left(A \,a^{10} e^{6}+\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{6}+6 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{5} e +15 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{4} e^{2}+20 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{3} e^{3}+15 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{2} e^{4}+6 \left(10 a^{9} b A +a^{10} B \right) d \,e^{5}\right) x^{7}}{7}+\frac{\left(6 A \,a^{10} d \,e^{5}+\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{6}+6 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{5} e +15 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{4} e^{2}+20 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{3} e^{3}+15 \left(10 a^{9} b A +a^{10} B \right) d^{2} e^{4}\right) x^{6}}{6}+\frac{\left(15 A \,a^{10} d^{2} e^{4}+\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{6}+6 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{5} e +15 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{4} e^{2}+20 \left(10 a^{9} b A +a^{10} B \right) d^{3} e^{3}\right) x^{5}}{5}+\frac{\left(20 A \,a^{10} d^{3} e^{3}+\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{6}+6 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{5} e +15 \left(10 a^{9} b A +a^{10} B \right) d^{4} e^{2}\right) x^{4}}{4}+\frac{\left(15 A \,a^{10} d^{4} e^{2}+\left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{6}+6 \left(10 a^{9} b A +a^{10} B \right) d^{5} e \right) x^{3}}{3}+\frac{\left(6 A \,a^{10} d^{5} e +\left(10 a^{9} b A +a^{10} B \right) d^{6}\right) x^{2}}{2}"," ",0,"1/18*b^10*B*e^6*x^18+1/17*((A*b^10+10*B*a*b^9)*e^6+6*b^10*B*d*e^5)*x^17+1/16*((10*A*a*b^9+45*B*a^2*b^8)*e^6+6*(A*b^10+10*B*a*b^9)*d*e^5+15*b^10*B*d^2*e^4)*x^16+1/15*((45*A*a^2*b^8+120*B*a^3*b^7)*e^6+6*(10*A*a*b^9+45*B*a^2*b^8)*d*e^5+15*(A*b^10+10*B*a*b^9)*d^2*e^4+20*b^10*B*d^3*e^3)*x^15+1/14*((120*A*a^3*b^7+210*B*a^4*b^6)*e^6+6*(45*A*a^2*b^8+120*B*a^3*b^7)*d*e^5+15*(10*A*a*b^9+45*B*a^2*b^8)*d^2*e^4+20*(A*b^10+10*B*a*b^9)*d^3*e^3+15*b^10*B*d^4*e^2)*x^14+1/13*((210*A*a^4*b^6+252*B*a^5*b^5)*e^6+6*(120*A*a^3*b^7+210*B*a^4*b^6)*d*e^5+15*(45*A*a^2*b^8+120*B*a^3*b^7)*d^2*e^4+20*(10*A*a*b^9+45*B*a^2*b^8)*d^3*e^3+15*(A*b^10+10*B*a*b^9)*d^4*e^2+6*b^10*B*d^5*e)*x^13+1/12*((252*A*a^5*b^5+210*B*a^6*b^4)*e^6+6*(210*A*a^4*b^6+252*B*a^5*b^5)*d*e^5+15*(120*A*a^3*b^7+210*B*a^4*b^6)*d^2*e^4+20*(45*A*a^2*b^8+120*B*a^3*b^7)*d^3*e^3+15*(10*A*a*b^9+45*B*a^2*b^8)*d^4*e^2+6*(A*b^10+10*B*a*b^9)*d^5*e+b^10*B*d^6)*x^12+1/11*((210*A*a^6*b^4+120*B*a^7*b^3)*e^6+6*(252*A*a^5*b^5+210*B*a^6*b^4)*d*e^5+15*(210*A*a^4*b^6+252*B*a^5*b^5)*d^2*e^4+20*(120*A*a^3*b^7+210*B*a^4*b^6)*d^3*e^3+15*(45*A*a^2*b^8+120*B*a^3*b^7)*d^4*e^2+6*(10*A*a*b^9+45*B*a^2*b^8)*d^5*e+(A*b^10+10*B*a*b^9)*d^6)*x^11+1/10*((120*A*a^7*b^3+45*B*a^8*b^2)*e^6+6*(210*A*a^6*b^4+120*B*a^7*b^3)*d*e^5+15*(252*A*a^5*b^5+210*B*a^6*b^4)*d^2*e^4+20*(210*A*a^4*b^6+252*B*a^5*b^5)*d^3*e^3+15*(120*A*a^3*b^7+210*B*a^4*b^6)*d^4*e^2+6*(45*A*a^2*b^8+120*B*a^3*b^7)*d^5*e+(10*A*a*b^9+45*B*a^2*b^8)*d^6)*x^10+1/9*((45*A*a^8*b^2+10*B*a^9*b)*e^6+6*(120*A*a^7*b^3+45*B*a^8*b^2)*d*e^5+15*(210*A*a^6*b^4+120*B*a^7*b^3)*d^2*e^4+20*(252*A*a^5*b^5+210*B*a^6*b^4)*d^3*e^3+15*(210*A*a^4*b^6+252*B*a^5*b^5)*d^4*e^2+6*(120*A*a^3*b^7+210*B*a^4*b^6)*d^5*e+(45*A*a^2*b^8+120*B*a^3*b^7)*d^6)*x^9+1/8*((10*A*a^9*b+B*a^10)*e^6+6*(45*A*a^8*b^2+10*B*a^9*b)*d*e^5+15*(120*A*a^7*b^3+45*B*a^8*b^2)*d^2*e^4+20*(210*A*a^6*b^4+120*B*a^7*b^3)*d^3*e^3+15*(252*A*a^5*b^5+210*B*a^6*b^4)*d^4*e^2+6*(210*A*a^4*b^6+252*B*a^5*b^5)*d^5*e+(120*A*a^3*b^7+210*B*a^4*b^6)*d^6)*x^8+1/7*(a^10*A*e^6+6*(10*A*a^9*b+B*a^10)*d*e^5+15*(45*A*a^8*b^2+10*B*a^9*b)*d^2*e^4+20*(120*A*a^7*b^3+45*B*a^8*b^2)*d^3*e^3+15*(210*A*a^6*b^4+120*B*a^7*b^3)*d^4*e^2+6*(252*A*a^5*b^5+210*B*a^6*b^4)*d^5*e+(210*A*a^4*b^6+252*B*a^5*b^5)*d^6)*x^7+1/6*(6*a^10*A*d*e^5+15*(10*A*a^9*b+B*a^10)*d^2*e^4+20*(45*A*a^8*b^2+10*B*a^9*b)*d^3*e^3+15*(120*A*a^7*b^3+45*B*a^8*b^2)*d^4*e^2+6*(210*A*a^6*b^4+120*B*a^7*b^3)*d^5*e+(252*A*a^5*b^5+210*B*a^6*b^4)*d^6)*x^6+1/5*(15*a^10*A*d^2*e^4+20*(10*A*a^9*b+B*a^10)*d^3*e^3+15*(45*A*a^8*b^2+10*B*a^9*b)*d^4*e^2+6*(120*A*a^7*b^3+45*B*a^8*b^2)*d^5*e+(210*A*a^6*b^4+120*B*a^7*b^3)*d^6)*x^5+1/4*(20*a^10*A*d^3*e^3+15*(10*A*a^9*b+B*a^10)*d^4*e^2+6*(45*A*a^8*b^2+10*B*a^9*b)*d^5*e+(120*A*a^7*b^3+45*B*a^8*b^2)*d^6)*x^4+1/3*(15*a^10*A*d^4*e^2+6*(10*A*a^9*b+B*a^10)*d^5*e+(45*A*a^8*b^2+10*B*a^9*b)*d^6)*x^3+1/2*(6*a^10*A*d^5*e+(10*A*a^9*b+B*a^10)*d^6)*x^2+a^10*A*d^6*x","B"
1083,1,1621,229,0.003000," ","int((b*x+a)^10*(B*x+A)*(e*x+d)^5,x)","\frac{B \,b^{10} e^{5} x^{17}}{17}+A \,a^{10} d^{5} x +\frac{\left(5 B \,b^{10} d \,e^{4}+\left(b^{10} A +10 a \,b^{9} B \right) e^{5}\right) x^{16}}{16}+\frac{\left(10 B \,b^{10} d^{2} e^{3}+5 \left(b^{10} A +10 a \,b^{9} B \right) d \,e^{4}+\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) e^{5}\right) x^{15}}{15}+\frac{\left(10 B \,b^{10} d^{3} e^{2}+10 \left(b^{10} A +10 a \,b^{9} B \right) d^{2} e^{3}+5 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d \,e^{4}+\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) e^{5}\right) x^{14}}{14}+\frac{\left(5 B \,b^{10} d^{4} e +10 \left(b^{10} A +10 a \,b^{9} B \right) d^{3} e^{2}+10 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{2} e^{3}+5 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d \,e^{4}+\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) e^{5}\right) x^{13}}{13}+\frac{\left(B \,b^{10} d^{5}+5 \left(b^{10} A +10 a \,b^{9} B \right) d^{4} e +10 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{3} e^{2}+10 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{2} e^{3}+5 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d \,e^{4}+\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) e^{5}\right) x^{12}}{12}+\frac{\left(\left(b^{10} A +10 a \,b^{9} B \right) d^{5}+5 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{4} e +10 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{3} e^{2}+10 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{2} e^{3}+5 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d \,e^{4}+\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) e^{5}\right) x^{11}}{11}+\frac{\left(\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{5}+5 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{4} e +10 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{3} e^{2}+10 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{2} e^{3}+5 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d \,e^{4}+\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) e^{5}\right) x^{10}}{10}+\frac{\left(\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{5}+5 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{4} e +10 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{3} e^{2}+10 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{2} e^{3}+5 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d \,e^{4}+\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) e^{5}\right) x^{9}}{9}+\frac{\left(\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{5}+5 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{4} e +10 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{3} e^{2}+10 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{2} e^{3}+5 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d \,e^{4}+\left(45 a^{8} b^{2} A +10 a^{9} b B \right) e^{5}\right) x^{8}}{8}+\frac{\left(\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{5}+5 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{4} e +10 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{3} e^{2}+10 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{2} e^{3}+5 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d \,e^{4}+\left(10 a^{9} b A +a^{10} B \right) e^{5}\right) x^{7}}{7}+\frac{\left(A \,a^{10} e^{5}+\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{5}+5 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{4} e +10 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{3} e^{2}+10 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{2} e^{3}+5 \left(10 a^{9} b A +a^{10} B \right) d \,e^{4}\right) x^{6}}{6}+\frac{\left(5 A \,a^{10} d \,e^{4}+\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{5}+5 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{4} e +10 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{3} e^{2}+10 \left(10 a^{9} b A +a^{10} B \right) d^{2} e^{3}\right) x^{5}}{5}+\frac{\left(10 A \,a^{10} d^{2} e^{3}+\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{5}+5 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{4} e +10 \left(10 a^{9} b A +a^{10} B \right) d^{3} e^{2}\right) x^{4}}{4}+\frac{\left(10 A \,a^{10} d^{3} e^{2}+\left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{5}+5 \left(10 a^{9} b A +a^{10} B \right) d^{4} e \right) x^{3}}{3}+\frac{\left(5 A \,a^{10} d^{4} e +\left(10 a^{9} b A +a^{10} B \right) d^{5}\right) x^{2}}{2}"," ",0,"1/17*b^10*B*e^5*x^17+1/16*((A*b^10+10*B*a*b^9)*e^5+5*b^10*B*d*e^4)*x^16+1/15*((10*A*a*b^9+45*B*a^2*b^8)*e^5+5*(A*b^10+10*B*a*b^9)*d*e^4+10*b^10*B*d^2*e^3)*x^15+1/14*((45*A*a^2*b^8+120*B*a^3*b^7)*e^5+5*(10*A*a*b^9+45*B*a^2*b^8)*d*e^4+10*(A*b^10+10*B*a*b^9)*d^2*e^3+10*b^10*B*d^3*e^2)*x^14+1/13*((120*A*a^3*b^7+210*B*a^4*b^6)*e^5+5*(45*A*a^2*b^8+120*B*a^3*b^7)*d*e^4+10*(10*A*a*b^9+45*B*a^2*b^8)*d^2*e^3+10*(A*b^10+10*B*a*b^9)*d^3*e^2+5*b^10*B*d^4*e)*x^13+1/12*((210*A*a^4*b^6+252*B*a^5*b^5)*e^5+5*(120*A*a^3*b^7+210*B*a^4*b^6)*d*e^4+10*(45*A*a^2*b^8+120*B*a^3*b^7)*d^2*e^3+10*(10*A*a*b^9+45*B*a^2*b^8)*d^3*e^2+5*(A*b^10+10*B*a*b^9)*d^4*e+b^10*B*d^5)*x^12+1/11*((252*A*a^5*b^5+210*B*a^6*b^4)*e^5+5*(210*A*a^4*b^6+252*B*a^5*b^5)*d*e^4+10*(120*A*a^3*b^7+210*B*a^4*b^6)*d^2*e^3+10*(45*A*a^2*b^8+120*B*a^3*b^7)*d^3*e^2+5*(10*A*a*b^9+45*B*a^2*b^8)*d^4*e+(A*b^10+10*B*a*b^9)*d^5)*x^11+1/10*((210*A*a^6*b^4+120*B*a^7*b^3)*e^5+5*(252*A*a^5*b^5+210*B*a^6*b^4)*d*e^4+10*(210*A*a^4*b^6+252*B*a^5*b^5)*d^2*e^3+10*(120*A*a^3*b^7+210*B*a^4*b^6)*d^3*e^2+5*(45*A*a^2*b^8+120*B*a^3*b^7)*d^4*e+(10*A*a*b^9+45*B*a^2*b^8)*d^5)*x^10+1/9*((120*A*a^7*b^3+45*B*a^8*b^2)*e^5+5*(210*A*a^6*b^4+120*B*a^7*b^3)*d*e^4+10*(252*A*a^5*b^5+210*B*a^6*b^4)*d^2*e^3+10*(210*A*a^4*b^6+252*B*a^5*b^5)*d^3*e^2+5*(120*A*a^3*b^7+210*B*a^4*b^6)*d^4*e+(45*A*a^2*b^8+120*B*a^3*b^7)*d^5)*x^9+1/8*((45*A*a^8*b^2+10*B*a^9*b)*e^5+5*(120*A*a^7*b^3+45*B*a^8*b^2)*d*e^4+10*(210*A*a^6*b^4+120*B*a^7*b^3)*d^2*e^3+10*(252*A*a^5*b^5+210*B*a^6*b^4)*d^3*e^2+5*(210*A*a^4*b^6+252*B*a^5*b^5)*d^4*e+(120*A*a^3*b^7+210*B*a^4*b^6)*d^5)*x^8+1/7*((10*A*a^9*b+B*a^10)*e^5+5*(45*A*a^8*b^2+10*B*a^9*b)*d*e^4+10*(120*A*a^7*b^3+45*B*a^8*b^2)*d^2*e^3+10*(210*A*a^6*b^4+120*B*a^7*b^3)*d^3*e^2+5*(252*A*a^5*b^5+210*B*a^6*b^4)*d^4*e+(210*A*a^4*b^6+252*B*a^5*b^5)*d^5)*x^7+1/6*(a^10*A*e^5+5*(10*A*a^9*b+B*a^10)*d*e^4+10*(45*A*a^8*b^2+10*B*a^9*b)*d^2*e^3+10*(120*A*a^7*b^3+45*B*a^8*b^2)*d^3*e^2+5*(210*A*a^6*b^4+120*B*a^7*b^3)*d^4*e+(252*A*a^5*b^5+210*B*a^6*b^4)*d^5)*x^6+1/5*(5*a^10*A*d*e^4+10*(10*A*a^9*b+B*a^10)*d^2*e^3+10*(45*A*a^8*b^2+10*B*a^9*b)*d^3*e^2+5*(120*A*a^7*b^3+45*B*a^8*b^2)*d^4*e+(210*A*a^6*b^4+120*B*a^7*b^3)*d^5)*x^5+1/4*(10*a^10*A*d^2*e^3+10*(10*A*a^9*b+B*a^10)*d^3*e^2+5*(45*A*a^8*b^2+10*B*a^9*b)*d^4*e+(120*A*a^7*b^3+45*B*a^8*b^2)*d^5)*x^4+1/3*(10*a^10*A*d^3*e^2+5*(10*A*a^9*b+B*a^10)*d^4*e+(45*A*a^8*b^2+10*B*a^9*b)*d^5)*x^3+1/2*(5*a^10*A*d^4*e+(10*A*a^9*b+B*a^10)*d^5)*x^2+a^10*A*d^5*x","B"
1084,1,1337,192,0.002000," ","int((b*x+a)^10*(B*x+A)*(e*x+d)^4,x)","\frac{B \,b^{10} e^{4} x^{16}}{16}+A \,a^{10} d^{4} x +\frac{\left(4 B \,b^{10} d \,e^{3}+\left(b^{10} A +10 a \,b^{9} B \right) e^{4}\right) x^{15}}{15}+\frac{\left(6 B \,b^{10} d^{2} e^{2}+4 \left(b^{10} A +10 a \,b^{9} B \right) d \,e^{3}+\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) e^{4}\right) x^{14}}{14}+\frac{\left(4 B \,b^{10} d^{3} e +6 \left(b^{10} A +10 a \,b^{9} B \right) d^{2} e^{2}+4 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d \,e^{3}+\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) e^{4}\right) x^{13}}{13}+\frac{\left(B \,b^{10} d^{4}+4 \left(b^{10} A +10 a \,b^{9} B \right) d^{3} e +6 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{2} e^{2}+4 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d \,e^{3}+\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) e^{4}\right) x^{12}}{12}+\frac{\left(\left(b^{10} A +10 a \,b^{9} B \right) d^{4}+4 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{3} e +6 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{2} e^{2}+4 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d \,e^{3}+\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) e^{4}\right) x^{11}}{11}+\frac{\left(\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{4}+4 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{3} e +6 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{2} e^{2}+4 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d \,e^{3}+\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) e^{4}\right) x^{10}}{10}+\frac{\left(\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{4}+4 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{3} e +6 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{2} e^{2}+4 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d \,e^{3}+\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) e^{4}\right) x^{9}}{9}+\frac{\left(\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{4}+4 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{3} e +6 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{2} e^{2}+4 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d \,e^{3}+\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) e^{4}\right) x^{8}}{8}+\frac{\left(\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{4}+4 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{3} e +6 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{2} e^{2}+4 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d \,e^{3}+\left(45 a^{8} b^{2} A +10 a^{9} b B \right) e^{4}\right) x^{7}}{7}+\frac{\left(\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{4}+4 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{3} e +6 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{2} e^{2}+4 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d \,e^{3}+\left(10 a^{9} b A +a^{10} B \right) e^{4}\right) x^{6}}{6}+\frac{\left(A \,a^{10} e^{4}+\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{4}+4 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{3} e +6 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{2} e^{2}+4 \left(10 a^{9} b A +a^{10} B \right) d \,e^{3}\right) x^{5}}{5}+\frac{\left(4 A \,a^{10} d \,e^{3}+\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{4}+4 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{3} e +6 \left(10 a^{9} b A +a^{10} B \right) d^{2} e^{2}\right) x^{4}}{4}+\frac{\left(6 A \,a^{10} d^{2} e^{2}+\left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{4}+4 \left(10 a^{9} b A +a^{10} B \right) d^{3} e \right) x^{3}}{3}+\frac{\left(4 A \,a^{10} d^{3} e +\left(10 a^{9} b A +a^{10} B \right) d^{4}\right) x^{2}}{2}"," ",0,"1/16*b^10*B*e^4*x^16+1/15*((A*b^10+10*B*a*b^9)*e^4+4*b^10*B*d*e^3)*x^15+1/14*((10*A*a*b^9+45*B*a^2*b^8)*e^4+4*(A*b^10+10*B*a*b^9)*d*e^3+6*b^10*B*d^2*e^2)*x^14+1/13*((45*A*a^2*b^8+120*B*a^3*b^7)*e^4+4*(10*A*a*b^9+45*B*a^2*b^8)*d*e^3+6*(A*b^10+10*B*a*b^9)*d^2*e^2+4*b^10*B*d^3*e)*x^13+1/12*((120*A*a^3*b^7+210*B*a^4*b^6)*e^4+4*(45*A*a^2*b^8+120*B*a^3*b^7)*d*e^3+6*(10*A*a*b^9+45*B*a^2*b^8)*d^2*e^2+4*(A*b^10+10*B*a*b^9)*d^3*e+b^10*B*d^4)*x^12+1/11*((210*A*a^4*b^6+252*B*a^5*b^5)*e^4+4*(120*A*a^3*b^7+210*B*a^4*b^6)*d*e^3+6*(45*A*a^2*b^8+120*B*a^3*b^7)*d^2*e^2+4*(10*A*a*b^9+45*B*a^2*b^8)*d^3*e+(A*b^10+10*B*a*b^9)*d^4)*x^11+1/10*((252*A*a^5*b^5+210*B*a^6*b^4)*e^4+4*(210*A*a^4*b^6+252*B*a^5*b^5)*d*e^3+6*(120*A*a^3*b^7+210*B*a^4*b^6)*d^2*e^2+4*(45*A*a^2*b^8+120*B*a^3*b^7)*d^3*e+(10*A*a*b^9+45*B*a^2*b^8)*d^4)*x^10+1/9*((210*A*a^6*b^4+120*B*a^7*b^3)*e^4+4*(252*A*a^5*b^5+210*B*a^6*b^4)*d*e^3+6*(210*A*a^4*b^6+252*B*a^5*b^5)*d^2*e^2+4*(120*A*a^3*b^7+210*B*a^4*b^6)*d^3*e+(45*A*a^2*b^8+120*B*a^3*b^7)*d^4)*x^9+1/8*((120*A*a^7*b^3+45*B*a^8*b^2)*e^4+4*(210*A*a^6*b^4+120*B*a^7*b^3)*d*e^3+6*(252*A*a^5*b^5+210*B*a^6*b^4)*d^2*e^2+4*(210*A*a^4*b^6+252*B*a^5*b^5)*d^3*e+(120*A*a^3*b^7+210*B*a^4*b^6)*d^4)*x^8+1/7*((45*A*a^8*b^2+10*B*a^9*b)*e^4+4*(120*A*a^7*b^3+45*B*a^8*b^2)*d*e^3+6*(210*A*a^6*b^4+120*B*a^7*b^3)*d^2*e^2+4*(252*A*a^5*b^5+210*B*a^6*b^4)*d^3*e+(210*A*a^4*b^6+252*B*a^5*b^5)*d^4)*x^7+1/6*((10*A*a^9*b+B*a^10)*e^4+4*(45*A*a^8*b^2+10*B*a^9*b)*d*e^3+6*(120*A*a^7*b^3+45*B*a^8*b^2)*d^2*e^2+4*(210*A*a^6*b^4+120*B*a^7*b^3)*d^3*e+(252*A*a^5*b^5+210*B*a^6*b^4)*d^4)*x^6+1/5*(a^10*A*e^4+4*(10*A*a^9*b+B*a^10)*d*e^3+6*(45*A*a^8*b^2+10*B*a^9*b)*d^2*e^2+4*(120*A*a^7*b^3+45*B*a^8*b^2)*d^3*e+(210*A*a^6*b^4+120*B*a^7*b^3)*d^4)*x^5+1/4*(4*a^10*A*d*e^3+6*(10*A*a^9*b+B*a^10)*d^2*e^2+4*(45*A*a^8*b^2+10*B*a^9*b)*d^3*e+(120*A*a^7*b^3+45*B*a^8*b^2)*d^4)*x^4+1/3*(6*a^10*A*d^2*e^2+4*(10*A*a^9*b+B*a^10)*d^3*e+(45*A*a^8*b^2+10*B*a^9*b)*d^4)*x^3+1/2*(4*a^10*A*d^3*e+(10*A*a^9*b+B*a^10)*d^4)*x^2+a^10*A*d^4*x","B"
1085,1,1053,149,0.002000," ","int((b*x+a)^10*(B*x+A)*(e*x+d)^3,x)","\frac{B \,b^{10} e^{3} x^{15}}{15}+A \,a^{10} d^{3} x +\frac{\left(3 B \,b^{10} d \,e^{2}+\left(b^{10} A +10 a \,b^{9} B \right) e^{3}\right) x^{14}}{14}+\frac{\left(3 B \,b^{10} d^{2} e +3 \left(b^{10} A +10 a \,b^{9} B \right) d \,e^{2}+\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) e^{3}\right) x^{13}}{13}+\frac{\left(B \,b^{10} d^{3}+3 \left(b^{10} A +10 a \,b^{9} B \right) d^{2} e +3 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d \,e^{2}+\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) e^{3}\right) x^{12}}{12}+\frac{\left(\left(b^{10} A +10 a \,b^{9} B \right) d^{3}+3 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{2} e +3 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d \,e^{2}+\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) e^{3}\right) x^{11}}{11}+\frac{\left(\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{3}+3 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{2} e +3 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d \,e^{2}+\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) e^{3}\right) x^{10}}{10}+\frac{\left(\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{3}+3 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{2} e +3 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d \,e^{2}+\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) e^{3}\right) x^{9}}{9}+\frac{\left(\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{3}+3 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{2} e +3 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d \,e^{2}+\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) e^{3}\right) x^{8}}{8}+\frac{\left(\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{3}+3 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{2} e +3 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d \,e^{2}+\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) e^{3}\right) x^{7}}{7}+\frac{\left(\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{3}+3 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{2} e +3 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d \,e^{2}+\left(45 a^{8} b^{2} A +10 a^{9} b B \right) e^{3}\right) x^{6}}{6}+\frac{\left(\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{3}+3 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{2} e +3 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d \,e^{2}+\left(10 a^{9} b A +a^{10} B \right) e^{3}\right) x^{5}}{5}+\frac{\left(A \,a^{10} e^{3}+\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{3}+3 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{2} e +3 \left(10 a^{9} b A +a^{10} B \right) d \,e^{2}\right) x^{4}}{4}+\frac{\left(3 A \,a^{10} d \,e^{2}+\left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{3}+3 \left(10 a^{9} b A +a^{10} B \right) d^{2} e \right) x^{3}}{3}+\frac{\left(3 A \,a^{10} d^{2} e +\left(10 a^{9} b A +a^{10} B \right) d^{3}\right) x^{2}}{2}"," ",0,"1/15*b^10*B*e^3*x^15+1/14*((A*b^10+10*B*a*b^9)*e^3+3*b^10*B*d*e^2)*x^14+1/13*((10*A*a*b^9+45*B*a^2*b^8)*e^3+3*(A*b^10+10*B*a*b^9)*d*e^2+3*b^10*B*d^2*e)*x^13+1/12*((45*A*a^2*b^8+120*B*a^3*b^7)*e^3+3*(10*A*a*b^9+45*B*a^2*b^8)*d*e^2+3*(A*b^10+10*B*a*b^9)*d^2*e+b^10*B*d^3)*x^12+1/11*((120*A*a^3*b^7+210*B*a^4*b^6)*e^3+3*(45*A*a^2*b^8+120*B*a^3*b^7)*d*e^2+3*(10*A*a*b^9+45*B*a^2*b^8)*d^2*e+(A*b^10+10*B*a*b^9)*d^3)*x^11+1/10*((210*A*a^4*b^6+252*B*a^5*b^5)*e^3+3*(120*A*a^3*b^7+210*B*a^4*b^6)*d*e^2+3*(45*A*a^2*b^8+120*B*a^3*b^7)*d^2*e+(10*A*a*b^9+45*B*a^2*b^8)*d^3)*x^10+1/9*((252*A*a^5*b^5+210*B*a^6*b^4)*e^3+3*(210*A*a^4*b^6+252*B*a^5*b^5)*d*e^2+3*(120*A*a^3*b^7+210*B*a^4*b^6)*d^2*e+(45*A*a^2*b^8+120*B*a^3*b^7)*d^3)*x^9+1/8*((210*A*a^6*b^4+120*B*a^7*b^3)*e^3+3*(252*A*a^5*b^5+210*B*a^6*b^4)*d*e^2+3*(210*A*a^4*b^6+252*B*a^5*b^5)*d^2*e+(120*A*a^3*b^7+210*B*a^4*b^6)*d^3)*x^8+1/7*((120*A*a^7*b^3+45*B*a^8*b^2)*e^3+3*(210*A*a^6*b^4+120*B*a^7*b^3)*d*e^2+3*(252*A*a^5*b^5+210*B*a^6*b^4)*d^2*e+(210*A*a^4*b^6+252*B*a^5*b^5)*d^3)*x^7+1/6*((45*A*a^8*b^2+10*B*a^9*b)*e^3+3*(120*A*a^7*b^3+45*B*a^8*b^2)*d*e^2+3*(210*A*a^6*b^4+120*B*a^7*b^3)*d^2*e+(252*A*a^5*b^5+210*B*a^6*b^4)*d^3)*x^6+1/5*((10*A*a^9*b+B*a^10)*e^3+3*(45*A*a^8*b^2+10*B*a^9*b)*d*e^2+3*(120*A*a^7*b^3+45*B*a^8*b^2)*d^2*e+(210*A*a^6*b^4+120*B*a^7*b^3)*d^3)*x^5+1/4*(a^10*A*e^3+3*(10*A*a^9*b+B*a^10)*d*e^2+3*(45*A*a^8*b^2+10*B*a^9*b)*d^2*e+(120*A*a^7*b^3+45*B*a^8*b^2)*d^3)*x^4+1/3*(3*a^10*A*d*e^2+3*(10*A*a^9*b+B*a^10)*d^2*e+(45*A*a^8*b^2+10*B*a^9*b)*d^3)*x^3+1/2*(3*a^10*A*d^2*e+(10*A*a^9*b+B*a^10)*d^3)*x^2+a^10*A*d^3*x","B"
1086,1,769,110,0.001000," ","int((b*x+a)^10*(B*x+A)*(e*x+d)^2,x)","\frac{B \,b^{10} e^{2} x^{14}}{14}+A \,a^{10} d^{2} x +\frac{\left(2 B \,b^{10} d e +\left(b^{10} A +10 a \,b^{9} B \right) e^{2}\right) x^{13}}{13}+\frac{\left(B \,b^{10} d^{2}+2 \left(b^{10} A +10 a \,b^{9} B \right) d e +\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) e^{2}\right) x^{12}}{12}+\frac{\left(\left(b^{10} A +10 a \,b^{9} B \right) d^{2}+2 \left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d e +\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) e^{2}\right) x^{11}}{11}+\frac{\left(\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d^{2}+2 \left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d e +\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) e^{2}\right) x^{10}}{10}+\frac{\left(\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d^{2}+2 \left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d e +\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) e^{2}\right) x^{9}}{9}+\frac{\left(\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d^{2}+2 \left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d e +\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) e^{2}\right) x^{8}}{8}+\frac{\left(\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d^{2}+2 \left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d e +\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) e^{2}\right) x^{7}}{7}+\frac{\left(\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d^{2}+2 \left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d e +\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) e^{2}\right) x^{6}}{6}+\frac{\left(\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d^{2}+2 \left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d e +\left(45 a^{8} b^{2} A +10 a^{9} b B \right) e^{2}\right) x^{5}}{5}+\frac{\left(\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d^{2}+2 \left(45 a^{8} b^{2} A +10 a^{9} b B \right) d e +\left(10 a^{9} b A +a^{10} B \right) e^{2}\right) x^{4}}{4}+\frac{\left(A \,a^{10} e^{2}+\left(45 a^{8} b^{2} A +10 a^{9} b B \right) d^{2}+2 \left(10 a^{9} b A +a^{10} B \right) d e \right) x^{3}}{3}+\frac{\left(2 A \,a^{10} d e +\left(10 a^{9} b A +a^{10} B \right) d^{2}\right) x^{2}}{2}"," ",0,"1/14*b^10*B*e^2*x^14+1/13*((A*b^10+10*B*a*b^9)*e^2+2*b^10*B*d*e)*x^13+1/12*((10*A*a*b^9+45*B*a^2*b^8)*e^2+2*(A*b^10+10*B*a*b^9)*d*e+b^10*B*d^2)*x^12+1/11*((45*A*a^2*b^8+120*B*a^3*b^7)*e^2+2*(10*A*a*b^9+45*B*a^2*b^8)*d*e+(A*b^10+10*B*a*b^9)*d^2)*x^11+1/10*((120*A*a^3*b^7+210*B*a^4*b^6)*e^2+2*(45*A*a^2*b^8+120*B*a^3*b^7)*d*e+(10*A*a*b^9+45*B*a^2*b^8)*d^2)*x^10+1/9*((210*A*a^4*b^6+252*B*a^5*b^5)*e^2+2*(120*A*a^3*b^7+210*B*a^4*b^6)*d*e+(45*A*a^2*b^8+120*B*a^3*b^7)*d^2)*x^9+1/8*((252*A*a^5*b^5+210*B*a^6*b^4)*e^2+2*(210*A*a^4*b^6+252*B*a^5*b^5)*d*e+(120*A*a^3*b^7+210*B*a^4*b^6)*d^2)*x^8+1/7*((210*A*a^6*b^4+120*B*a^7*b^3)*e^2+2*(252*A*a^5*b^5+210*B*a^6*b^4)*d*e+(210*A*a^4*b^6+252*B*a^5*b^5)*d^2)*x^7+1/6*((120*A*a^7*b^3+45*B*a^8*b^2)*e^2+2*(210*A*a^6*b^4+120*B*a^7*b^3)*d*e+(252*A*a^5*b^5+210*B*a^6*b^4)*d^2)*x^6+1/5*((45*A*a^8*b^2+10*B*a^9*b)*e^2+2*(120*A*a^7*b^3+45*B*a^8*b^2)*d*e+(210*A*a^6*b^4+120*B*a^7*b^3)*d^2)*x^5+1/4*((10*A*a^9*b+B*a^10)*e^2+2*(45*A*a^8*b^2+10*B*a^9*b)*d*e+(120*A*a^7*b^3+45*B*a^8*b^2)*d^2)*x^4+1/3*(a^10*A*e^2+2*(10*A*a^9*b+B*a^10)*d*e+(45*A*a^8*b^2+10*B*a^9*b)*d^2)*x^3+1/2*(2*a^10*A*d*e+(10*A*a^9*b+B*a^10)*d^2)*x^2+a^10*A*d^2*x","B"
1087,1,485,69,0.002000," ","int((b*x+a)^10*(B*x+A)*(e*x+d),x)","\frac{B \,b^{10} e \,x^{13}}{13}+A \,a^{10} d x +\frac{\left(B \,b^{10} d +\left(b^{10} A +10 a \,b^{9} B \right) e \right) x^{12}}{12}+\frac{\left(\left(b^{10} A +10 a \,b^{9} B \right) d +\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) e \right) x^{11}}{11}+\frac{\left(\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) d +\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) e \right) x^{10}}{10}+\frac{\left(\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) d +\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) e \right) x^{9}}{9}+\frac{\left(\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) d +\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) e \right) x^{8}}{8}+\frac{\left(\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) d +\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) e \right) x^{7}}{7}+\frac{\left(\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) d +\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) e \right) x^{6}}{6}+\frac{\left(\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) d +\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) e \right) x^{5}}{5}+\frac{\left(\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) d +\left(45 a^{8} b^{2} A +10 a^{9} b B \right) e \right) x^{4}}{4}+\frac{\left(\left(45 a^{8} b^{2} A +10 a^{9} b B \right) d +\left(10 a^{9} b A +a^{10} B \right) e \right) x^{3}}{3}+\frac{\left(A \,a^{10} e +\left(10 a^{9} b A +a^{10} B \right) d \right) x^{2}}{2}"," ",0,"1/13*b^10*B*e*x^13+1/12*((A*b^10+10*B*a*b^9)*e+b^10*B*d)*x^12+1/11*((10*A*a*b^9+45*B*a^2*b^8)*e+(A*b^10+10*B*a*b^9)*d)*x^11+1/10*((45*A*a^2*b^8+120*B*a^3*b^7)*e+(10*A*a*b^9+45*B*a^2*b^8)*d)*x^10+1/9*((120*A*a^3*b^7+210*B*a^4*b^6)*e+(45*A*a^2*b^8+120*B*a^3*b^7)*d)*x^9+1/8*((210*A*a^4*b^6+252*B*a^5*b^5)*e+(120*A*a^3*b^7+210*B*a^4*b^6)*d)*x^8+1/7*((252*A*a^5*b^5+210*B*a^6*b^4)*e+(210*A*a^4*b^6+252*B*a^5*b^5)*d)*x^7+1/6*((210*A*a^6*b^4+120*B*a^7*b^3)*e+(252*A*a^5*b^5+210*B*a^6*b^4)*d)*x^6+1/5*((120*A*a^7*b^3+45*B*a^8*b^2)*e+(210*A*a^6*b^4+120*B*a^7*b^3)*d)*x^5+1/4*((45*A*a^8*b^2+10*B*a^9*b)*e+(120*A*a^7*b^3+45*B*a^8*b^2)*d)*x^4+1/3*((10*A*a^9*b+B*a^10)*e+(45*A*a^8*b^2+10*B*a^9*b)*d)*x^3+1/2*(a^10*A*e+(10*A*a^9*b+B*a^10)*d)*x^2+a^10*A*d*x","B"
1088,1,241,34,0.000000," ","int((b*x+a)^10*(B*x+A),x)","\frac{B \,b^{10} x^{12}}{12}+A \,a^{10} x +\frac{\left(b^{10} A +10 a \,b^{9} B \right) x^{11}}{11}+\frac{\left(10 a \,b^{9} A +45 a^{2} b^{8} B \right) x^{10}}{10}+\frac{\left(45 a^{2} b^{8} A +120 a^{3} b^{7} B \right) x^{9}}{9}+\frac{\left(120 a^{3} b^{7} A +210 a^{4} b^{6} B \right) x^{8}}{8}+\frac{\left(210 a^{4} b^{6} A +252 a^{5} b^{5} B \right) x^{7}}{7}+\frac{\left(252 a^{5} b^{5} A +210 a^{6} b^{4} B \right) x^{6}}{6}+\frac{\left(210 a^{6} b^{4} A +120 a^{7} b^{3} B \right) x^{5}}{5}+\frac{\left(120 a^{7} b^{3} A +45 a^{8} b^{2} B \right) x^{4}}{4}+\frac{\left(45 a^{8} b^{2} A +10 a^{9} b B \right) x^{3}}{3}+\frac{\left(10 a^{9} b A +a^{10} B \right) x^{2}}{2}"," ",0,"1/12*B*b^10*x^12+A*a^10*x+1/11*(A*b^10+10*B*a*b^9)*x^11+1/10*(10*A*a*b^9+45*B*a^2*b^8)*x^10+1/9*(45*A*a^2*b^8+120*B*a^3*b^7)*x^9+1/8*(120*A*a^3*b^7+210*B*a^4*b^6)*x^8+1/7*(210*A*a^4*b^6+252*B*a^5*b^5)*x^7+1/6*(252*A*a^5*b^5+210*B*a^6*b^4)*x^6+1/5*(210*A*a^6*b^4+120*B*a^7*b^3)*x^5+1/4*(120*A*a^7*b^3+45*B*a^8*b^2)*x^4+1/3*(45*A*a^8*b^2+10*B*a^9*b)*x^3+1/2*(10*A*a^9*b+B*a^10)*x^2","B"
1089,1,2357,328,0.018000," ","int((b*x+a)^10*(B*x+A)/(e*x+d),x)","\frac{B \,b^{10} x^{11}}{11 e}+\frac{A \,b^{10} x^{10}}{10 e}+\frac{B a \,b^{9} x^{10}}{e}-\frac{B \,b^{10} d \,x^{10}}{10 e^{2}}+\frac{10 A a \,b^{9} x^{9}}{9 e}-\frac{A \,b^{10} d \,x^{9}}{9 e^{2}}+\frac{5 B \,a^{2} b^{8} x^{9}}{e}-\frac{10 B a \,b^{9} d \,x^{9}}{9 e^{2}}+\frac{B \,b^{10} d^{2} x^{9}}{9 e^{3}}+\frac{45 A \,a^{2} b^{8} x^{8}}{8 e}-\frac{5 A a \,b^{9} d \,x^{8}}{4 e^{2}}+\frac{A \,b^{10} d^{2} x^{8}}{8 e^{3}}+\frac{15 B \,a^{3} b^{7} x^{8}}{e}-\frac{45 B \,a^{2} b^{8} d \,x^{8}}{8 e^{2}}+\frac{5 B a \,b^{9} d^{2} x^{8}}{4 e^{3}}-\frac{B \,b^{10} d^{3} x^{8}}{8 e^{4}}+\frac{120 A \,a^{3} b^{7} x^{7}}{7 e}-\frac{45 A \,a^{2} b^{8} d \,x^{7}}{7 e^{2}}+\frac{10 A a \,b^{9} d^{2} x^{7}}{7 e^{3}}-\frac{A \,b^{10} d^{3} x^{7}}{7 e^{4}}+\frac{30 B \,a^{4} b^{6} x^{7}}{e}-\frac{120 B \,a^{3} b^{7} d \,x^{7}}{7 e^{2}}+\frac{45 B \,a^{2} b^{8} d^{2} x^{7}}{7 e^{3}}-\frac{10 B a \,b^{9} d^{3} x^{7}}{7 e^{4}}+\frac{B \,b^{10} d^{4} x^{7}}{7 e^{5}}+\frac{35 A \,a^{4} b^{6} x^{6}}{e}-\frac{20 A \,a^{3} b^{7} d \,x^{6}}{e^{2}}+\frac{15 A \,a^{2} b^{8} d^{2} x^{6}}{2 e^{3}}-\frac{5 A a \,b^{9} d^{3} x^{6}}{3 e^{4}}+\frac{A \,b^{10} d^{4} x^{6}}{6 e^{5}}+\frac{42 B \,a^{5} b^{5} x^{6}}{e}-\frac{35 B \,a^{4} b^{6} d \,x^{6}}{e^{2}}+\frac{20 B \,a^{3} b^{7} d^{2} x^{6}}{e^{3}}-\frac{15 B \,a^{2} b^{8} d^{3} x^{6}}{2 e^{4}}+\frac{5 B a \,b^{9} d^{4} x^{6}}{3 e^{5}}-\frac{B \,b^{10} d^{5} x^{6}}{6 e^{6}}+\frac{252 A \,a^{5} b^{5} x^{5}}{5 e}-\frac{42 A \,a^{4} b^{6} d \,x^{5}}{e^{2}}+\frac{24 A \,a^{3} b^{7} d^{2} x^{5}}{e^{3}}-\frac{9 A \,a^{2} b^{8} d^{3} x^{5}}{e^{4}}+\frac{2 A a \,b^{9} d^{4} x^{5}}{e^{5}}-\frac{A \,b^{10} d^{5} x^{5}}{5 e^{6}}+\frac{42 B \,a^{6} b^{4} x^{5}}{e}-\frac{252 B \,a^{5} b^{5} d \,x^{5}}{5 e^{2}}+\frac{42 B \,a^{4} b^{6} d^{2} x^{5}}{e^{3}}-\frac{24 B \,a^{3} b^{7} d^{3} x^{5}}{e^{4}}+\frac{9 B \,a^{2} b^{8} d^{4} x^{5}}{e^{5}}-\frac{2 B a \,b^{9} d^{5} x^{5}}{e^{6}}+\frac{B \,b^{10} d^{6} x^{5}}{5 e^{7}}+\frac{105 A \,a^{6} b^{4} x^{4}}{2 e}-\frac{63 A \,a^{5} b^{5} d \,x^{4}}{e^{2}}+\frac{105 A \,a^{4} b^{6} d^{2} x^{4}}{2 e^{3}}-\frac{30 A \,a^{3} b^{7} d^{3} x^{4}}{e^{4}}+\frac{45 A \,a^{2} b^{8} d^{4} x^{4}}{4 e^{5}}-\frac{5 A a \,b^{9} d^{5} x^{4}}{2 e^{6}}+\frac{A \,b^{10} d^{6} x^{4}}{4 e^{7}}+\frac{30 B \,a^{7} b^{3} x^{4}}{e}-\frac{105 B \,a^{6} b^{4} d \,x^{4}}{2 e^{2}}+\frac{63 B \,a^{5} b^{5} d^{2} x^{4}}{e^{3}}-\frac{105 B \,a^{4} b^{6} d^{3} x^{4}}{2 e^{4}}+\frac{30 B \,a^{3} b^{7} d^{4} x^{4}}{e^{5}}-\frac{45 B \,a^{2} b^{8} d^{5} x^{4}}{4 e^{6}}+\frac{5 B a \,b^{9} d^{6} x^{4}}{2 e^{7}}-\frac{B \,b^{10} d^{7} x^{4}}{4 e^{8}}+\frac{40 A \,a^{7} b^{3} x^{3}}{e}-\frac{70 A \,a^{6} b^{4} d \,x^{3}}{e^{2}}+\frac{84 A \,a^{5} b^{5} d^{2} x^{3}}{e^{3}}-\frac{70 A \,a^{4} b^{6} d^{3} x^{3}}{e^{4}}+\frac{40 A \,a^{3} b^{7} d^{4} x^{3}}{e^{5}}-\frac{15 A \,a^{2} b^{8} d^{5} x^{3}}{e^{6}}+\frac{10 A a \,b^{9} d^{6} x^{3}}{3 e^{7}}-\frac{A \,b^{10} d^{7} x^{3}}{3 e^{8}}+\frac{15 B \,a^{8} b^{2} x^{3}}{e}-\frac{40 B \,a^{7} b^{3} d \,x^{3}}{e^{2}}+\frac{70 B \,a^{6} b^{4} d^{2} x^{3}}{e^{3}}-\frac{84 B \,a^{5} b^{5} d^{3} x^{3}}{e^{4}}+\frac{70 B \,a^{4} b^{6} d^{4} x^{3}}{e^{5}}-\frac{40 B \,a^{3} b^{7} d^{5} x^{3}}{e^{6}}+\frac{15 B \,a^{2} b^{8} d^{6} x^{3}}{e^{7}}-\frac{10 B a \,b^{9} d^{7} x^{3}}{3 e^{8}}+\frac{B \,b^{10} d^{8} x^{3}}{3 e^{9}}+\frac{45 A \,a^{8} b^{2} x^{2}}{2 e}-\frac{60 A \,a^{7} b^{3} d \,x^{2}}{e^{2}}+\frac{105 A \,a^{6} b^{4} d^{2} x^{2}}{e^{3}}-\frac{126 A \,a^{5} b^{5} d^{3} x^{2}}{e^{4}}+\frac{105 A \,a^{4} b^{6} d^{4} x^{2}}{e^{5}}-\frac{60 A \,a^{3} b^{7} d^{5} x^{2}}{e^{6}}+\frac{45 A \,a^{2} b^{8} d^{6} x^{2}}{2 e^{7}}-\frac{5 A a \,b^{9} d^{7} x^{2}}{e^{8}}+\frac{A \,b^{10} d^{8} x^{2}}{2 e^{9}}+\frac{5 B \,a^{9} b \,x^{2}}{e}-\frac{45 B \,a^{8} b^{2} d \,x^{2}}{2 e^{2}}+\frac{60 B \,a^{7} b^{3} d^{2} x^{2}}{e^{3}}-\frac{105 B \,a^{6} b^{4} d^{3} x^{2}}{e^{4}}+\frac{126 B \,a^{5} b^{5} d^{4} x^{2}}{e^{5}}-\frac{105 B \,a^{4} b^{6} d^{5} x^{2}}{e^{6}}+\frac{60 B \,a^{3} b^{7} d^{6} x^{2}}{e^{7}}-\frac{45 B \,a^{2} b^{8} d^{7} x^{2}}{2 e^{8}}+\frac{5 B a \,b^{9} d^{8} x^{2}}{e^{9}}-\frac{B \,b^{10} d^{9} x^{2}}{2 e^{10}}+\frac{A \,a^{10} \ln \left(e x +d \right)}{e}-\frac{10 A \,a^{9} b d \ln \left(e x +d \right)}{e^{2}}+\frac{10 A \,a^{9} b x}{e}+\frac{45 A \,a^{8} b^{2} d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{45 A \,a^{8} b^{2} d x}{e^{2}}-\frac{120 A \,a^{7} b^{3} d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{120 A \,a^{7} b^{3} d^{2} x}{e^{3}}+\frac{210 A \,a^{6} b^{4} d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{210 A \,a^{6} b^{4} d^{3} x}{e^{4}}-\frac{252 A \,a^{5} b^{5} d^{5} \ln \left(e x +d \right)}{e^{6}}+\frac{252 A \,a^{5} b^{5} d^{4} x}{e^{5}}+\frac{210 A \,a^{4} b^{6} d^{6} \ln \left(e x +d \right)}{e^{7}}-\frac{210 A \,a^{4} b^{6} d^{5} x}{e^{6}}-\frac{120 A \,a^{3} b^{7} d^{7} \ln \left(e x +d \right)}{e^{8}}+\frac{120 A \,a^{3} b^{7} d^{6} x}{e^{7}}+\frac{45 A \,a^{2} b^{8} d^{8} \ln \left(e x +d \right)}{e^{9}}-\frac{45 A \,a^{2} b^{8} d^{7} x}{e^{8}}-\frac{10 A a \,b^{9} d^{9} \ln \left(e x +d \right)}{e^{10}}+\frac{10 A a \,b^{9} d^{8} x}{e^{9}}+\frac{A \,b^{10} d^{10} \ln \left(e x +d \right)}{e^{11}}-\frac{A \,b^{10} d^{9} x}{e^{10}}-\frac{B \,a^{10} d \ln \left(e x +d \right)}{e^{2}}+\frac{B \,a^{10} x}{e}+\frac{10 B \,a^{9} b \,d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{10 B \,a^{9} b d x}{e^{2}}-\frac{45 B \,a^{8} b^{2} d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{45 B \,a^{8} b^{2} d^{2} x}{e^{3}}+\frac{120 B \,a^{7} b^{3} d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{120 B \,a^{7} b^{3} d^{3} x}{e^{4}}-\frac{210 B \,a^{6} b^{4} d^{5} \ln \left(e x +d \right)}{e^{6}}+\frac{210 B \,a^{6} b^{4} d^{4} x}{e^{5}}+\frac{252 B \,a^{5} b^{5} d^{6} \ln \left(e x +d \right)}{e^{7}}-\frac{252 B \,a^{5} b^{5} d^{5} x}{e^{6}}-\frac{210 B \,a^{4} b^{6} d^{7} \ln \left(e x +d \right)}{e^{8}}+\frac{210 B \,a^{4} b^{6} d^{6} x}{e^{7}}+\frac{120 B \,a^{3} b^{7} d^{8} \ln \left(e x +d \right)}{e^{9}}-\frac{120 B \,a^{3} b^{7} d^{7} x}{e^{8}}-\frac{45 B \,a^{2} b^{8} d^{9} \ln \left(e x +d \right)}{e^{10}}+\frac{45 B \,a^{2} b^{8} d^{8} x}{e^{9}}+\frac{10 B a \,b^{9} d^{10} \ln \left(e x +d \right)}{e^{11}}-\frac{10 B a \,b^{9} d^{9} x}{e^{10}}-\frac{B \,b^{10} d^{11} \ln \left(e x +d \right)}{e^{12}}+\frac{B \,b^{10} d^{10} x}{e^{11}}"," ",0,"1/e*ln(e*x+d)*a^10*A+1/11/e*B*b^10*x^11+1/10/e*A*x^10*b^10+1/e*B*x*a^10+1/e^11*B*x*b^10*d^10-1/8/e^4*B*x^8*b^10*d^3+45/2/e^7*A*x^2*a^2*b^8*d^6-5/e^8*A*x^2*a*b^9*d^7-63/e^2*A*x^4*a^5*b^5*d+105/2/e^3*A*x^4*a^4*b^6*d^2-30/e^4*A*x^4*a^3*b^7*d^3+45/4/e^5*A*x^4*a^2*b^8*d^4-5/2/e^6*A*x^4*a*b^9*d^5-105/2/e^2*B*x^4*a^6*b^4*d+63/e^3*B*x^4*a^5*b^5*d^2-105/2/e^4*B*x^4*a^4*b^6*d^3+30/e^5*B*x^4*a^3*b^7*d^4+5/2/e^7*B*x^4*a*b^9*d^6-70/e^2*A*x^3*a^6*b^4*d-45/4/e^6*B*x^4*a^2*b^8*d^5+84/e^3*A*x^3*a^5*b^5*d^2-70/e^4*A*x^3*a^4*b^6*d^3+40/e^5*A*x^3*a^3*b^7*d^4-9/e^4*A*x^5*a^2*b^8*d^3+2/e^5*A*x^5*a*b^9*d^4-252/5/e^2*B*x^5*a^5*b^5*d+42/e^3*B*x^5*a^4*b^6*d^2-24/e^4*B*x^5*a^3*b^7*d^3+9/e^5*B*x^5*a^2*b^8*d^4-2/e^6*B*x^5*a*b^9*d^5-45/7/e^2*A*x^7*a^2*b^8*d+10/7/e^3*A*x^7*a*b^9*d^2-120/7/e^2*B*x^7*a^3*b^7*d+45/7/e^3*B*x^7*a^2*b^8*d^2-10/7/e^4*B*x^7*a*b^9*d^3-120/e^4*B*x*a^7*b^3*d^3-10/9/e^2*B*x^9*a*b^9*d-5/4/e^2*A*x^8*a*b^9*d-45/8/e^2*B*x^8*a^2*b^8*d+5/4/e^3*B*x^8*a*b^9*d^2-210/e^6*A*x*a^4*b^6*d^5+210/e^5*B*x*a^6*b^4*d^4-252/e^6*B*x*a^5*b^5*d^5-10/e^2*B*x*a^9*b*d-45/2/e^2*B*x^2*a^8*b^2*d+60/e^3*B*x^2*a^7*b^3*d^2-105/e^4*B*x^2*a^6*b^4*d^3+126/e^5*B*x^2*a^5*b^5*d^4-105/e^6*B*x^2*a^4*b^6*d^5+60/e^7*B*x^2*a^3*b^7*d^6-45/2/e^8*B*x^2*a^2*b^8*d^7+5/e^9*B*x^2*a*b^9*d^8-15/e^6*A*x^3*a^2*b^8*d^5+10/3/e^7*A*x^3*a*b^9*d^6-40/e^2*B*x^3*a^7*b^3*d+70/e^3*B*x^3*a^6*b^4*d^2-84/e^4*B*x^3*a^5*b^5*d^3-45/e^4*ln(e*x+d)*B*a^8*b^2*d^3+120/e^5*ln(e*x+d)*B*a^7*b^3*d^4-210/e^6*ln(e*x+d)*B*a^6*b^4*d^5+252/e^7*ln(e*x+d)*B*a^5*b^5*d^6-210/e^8*ln(e*x+d)*B*a^4*b^6*d^7+120/e^9*ln(e*x+d)*B*a^3*b^7*d^8-45/e^10*ln(e*x+d)*B*a^2*b^8*d^9+10/e^11*ln(e*x+d)*B*a*b^9*d^10+70/e^5*B*x^3*a^4*b^6*d^4-40/e^6*B*x^3*a^3*b^7*d^5+15/e^7*B*x^3*a^2*b^8*d^6-10/3/e^8*B*x^3*a*b^9*d^7-60/e^2*A*x^2*a^7*b^3*d+105/e^3*A*x^2*a^6*b^4*d^2-126/e^4*A*x^2*a^5*b^5*d^3+105/e^5*A*x^2*a^4*b^6*d^4-60/e^6*A*x^2*a^3*b^7*d^5-20/e^2*A*x^6*a^3*b^7*d+15/2/e^3*A*x^6*a^2*b^8*d^2-5/3/e^4*A*x^6*a*b^9*d^3-35/e^2*B*x^6*a^4*b^6*d+20/e^3*B*x^6*a^3*b^7*d^2-15/2/e^4*B*x^6*a^2*b^8*d^3+5/3/e^5*B*x^6*a*b^9*d^4-42/e^2*A*x^5*a^4*b^6*d+24/e^3*A*x^5*a^3*b^7*d^2+45/e^3*ln(e*x+d)*A*a^8*b^2*d^2-120/e^4*ln(e*x+d)*A*a^7*b^3*d^3+210/e^5*ln(e*x+d)*A*a^6*b^4*d^4-252/e^6*ln(e*x+d)*A*a^5*b^5*d^5+210/e^7*ln(e*x+d)*A*a^4*b^6*d^6-120/e^8*ln(e*x+d)*A*a^3*b^7*d^7+45/e^9*ln(e*x+d)*A*a^2*b^8*d^8-10/e^2*ln(e*x+d)*A*a^9*b*d-10/e^10*ln(e*x+d)*A*a*b^9*d^9+10/e^3*ln(e*x+d)*B*a^9*b*d^2+210/e^7*B*x*a^4*b^6*d^6-120/e^8*B*x*a^3*b^7*d^7+45/e^9*B*x*a^2*b^8*d^8-10/e^10*B*x*a*b^9*d^9+120/e^7*A*x*a^3*b^7*d^6-45/e^8*A*x*a^2*b^8*d^7+10/e^9*A*x*a*b^9*d^8-45/e^2*A*x*a^8*b^2*d+120/e^3*A*x*a^7*b^3*d^2-210/e^4*A*x*a^6*b^4*d^3+252/e^5*A*x*a^5*b^5*d^4+45/e^3*B*x*a^8*b^2*d^2+15/e*B*x^8*a^3*b^7-1/3/e^8*A*x^3*b^10*d^7-1/10/e^2*B*x^10*b^10*d+10/9/e*A*x^9*a*b^9-1/9/e^2*A*x^9*b^10*d-1/4/e^8*B*x^4*b^10*d^7+40/e*A*x^3*a^7*b^3+10/e*A*x*a^9*b-1/e^10*A*x*b^10*d^9+15/e*B*x^3*a^8*b^2+42/e*B*x^6*a^5*b^5+1/6/e^5*A*x^6*b^10*d^4+1/e^11*ln(e*x+d)*A*b^10*d^10-1/e^2*ln(e*x+d)*B*a^10*d-1/e^12*ln(e*x+d)*b^10*B*d^11+120/7/e*A*x^7*a^3*b^7-1/7/e^4*A*x^7*b^10*d^3+1/8/e^3*A*x^8*b^10*d^2+30/e*B*x^7*a^4*b^6+1/7/e^5*B*x^7*b^10*d^4+1/e*B*x^10*a*b^9+45/2/e*A*x^2*a^8*b^2+1/2/e^9*A*x^2*b^10*d^8+5/e*B*x^2*a^9*b-1/2/e^10*B*x^2*b^10*d^9-1/5/e^6*A*x^5*b^10*d^5+42/e*B*x^5*a^6*b^4+1/5/e^7*B*x^5*b^10*d^6+105/2/e*A*x^4*a^6*b^4+1/4/e^7*A*x^4*b^10*d^6+30/e*B*x^4*a^7*b^3+1/3/e^9*B*x^3*b^10*d^8+35/e*A*x^6*a^4*b^6-1/6/e^6*B*x^6*b^10*d^5+5/e*B*x^9*a^2*b^8+1/9/e^3*B*x^9*b^10*d^2+45/8/e*A*x^8*a^2*b^8+252/5/e*A*x^5*a^5*b^5","B"
1090,1,2447,431,0.026000," ","int((b*x+a)^10*(B*x+A)/(e*x+d)^2,x)","\frac{B \,b^{10} x^{10}}{10 e^{2}}+\frac{A \,b^{10} x^{9}}{9 e^{2}}+\frac{10 B a \,b^{9} x^{9}}{9 e^{2}}-\frac{2 B \,b^{10} d \,x^{9}}{9 e^{3}}+\frac{5 A a \,b^{9} x^{8}}{4 e^{2}}-\frac{A \,b^{10} d \,x^{8}}{4 e^{3}}+\frac{45 B \,a^{2} b^{8} x^{8}}{8 e^{2}}-\frac{5 B a \,b^{9} d \,x^{8}}{2 e^{3}}+\frac{3 B \,b^{10} d^{2} x^{8}}{8 e^{4}}+\frac{45 A \,a^{2} b^{8} x^{7}}{7 e^{2}}-\frac{20 A a \,b^{9} d \,x^{7}}{7 e^{3}}+\frac{3 A \,b^{10} d^{2} x^{7}}{7 e^{4}}+\frac{120 B \,a^{3} b^{7} x^{7}}{7 e^{2}}-\frac{90 B \,a^{2} b^{8} d \,x^{7}}{7 e^{3}}+\frac{30 B a \,b^{9} d^{2} x^{7}}{7 e^{4}}-\frac{4 B \,b^{10} d^{3} x^{7}}{7 e^{5}}+\frac{20 A \,a^{3} b^{7} x^{6}}{e^{2}}-\frac{15 A \,a^{2} b^{8} d \,x^{6}}{e^{3}}+\frac{5 A a \,b^{9} d^{2} x^{6}}{e^{4}}-\frac{2 A \,b^{10} d^{3} x^{6}}{3 e^{5}}+\frac{35 B \,a^{4} b^{6} x^{6}}{e^{2}}-\frac{40 B \,a^{3} b^{7} d \,x^{6}}{e^{3}}+\frac{45 B \,a^{2} b^{8} d^{2} x^{6}}{2 e^{4}}-\frac{20 B a \,b^{9} d^{3} x^{6}}{3 e^{5}}+\frac{5 B \,b^{10} d^{4} x^{6}}{6 e^{6}}+\frac{42 A \,a^{4} b^{6} x^{5}}{e^{2}}-\frac{48 A \,a^{3} b^{7} d \,x^{5}}{e^{3}}+\frac{27 A \,a^{2} b^{8} d^{2} x^{5}}{e^{4}}-\frac{8 A a \,b^{9} d^{3} x^{5}}{e^{5}}+\frac{A \,b^{10} d^{4} x^{5}}{e^{6}}+\frac{252 B \,a^{5} b^{5} x^{5}}{5 e^{2}}-\frac{84 B \,a^{4} b^{6} d \,x^{5}}{e^{3}}+\frac{72 B \,a^{3} b^{7} d^{2} x^{5}}{e^{4}}-\frac{36 B \,a^{2} b^{8} d^{3} x^{5}}{e^{5}}+\frac{10 B a \,b^{9} d^{4} x^{5}}{e^{6}}-\frac{6 B \,b^{10} d^{5} x^{5}}{5 e^{7}}+\frac{63 A \,a^{5} b^{5} x^{4}}{e^{2}}-\frac{105 A \,a^{4} b^{6} d \,x^{4}}{e^{3}}+\frac{90 A \,a^{3} b^{7} d^{2} x^{4}}{e^{4}}-\frac{45 A \,a^{2} b^{8} d^{3} x^{4}}{e^{5}}+\frac{25 A a \,b^{9} d^{4} x^{4}}{2 e^{6}}-\frac{3 A \,b^{10} d^{5} x^{4}}{2 e^{7}}+\frac{105 B \,a^{6} b^{4} x^{4}}{2 e^{2}}-\frac{126 B \,a^{5} b^{5} d \,x^{4}}{e^{3}}+\frac{315 B \,a^{4} b^{6} d^{2} x^{4}}{2 e^{4}}-\frac{120 B \,a^{3} b^{7} d^{3} x^{4}}{e^{5}}+\frac{225 B \,a^{2} b^{8} d^{4} x^{4}}{4 e^{6}}-\frac{15 B a \,b^{9} d^{5} x^{4}}{e^{7}}+\frac{7 B \,b^{10} d^{6} x^{4}}{4 e^{8}}+\frac{70 A \,a^{6} b^{4} x^{3}}{e^{2}}-\frac{168 A \,a^{5} b^{5} d \,x^{3}}{e^{3}}+\frac{210 A \,a^{4} b^{6} d^{2} x^{3}}{e^{4}}-\frac{160 A \,a^{3} b^{7} d^{3} x^{3}}{e^{5}}+\frac{75 A \,a^{2} b^{8} d^{4} x^{3}}{e^{6}}-\frac{20 A a \,b^{9} d^{5} x^{3}}{e^{7}}+\frac{7 A \,b^{10} d^{6} x^{3}}{3 e^{8}}+\frac{40 B \,a^{7} b^{3} x^{3}}{e^{2}}-\frac{140 B \,a^{6} b^{4} d \,x^{3}}{e^{3}}+\frac{252 B \,a^{5} b^{5} d^{2} x^{3}}{e^{4}}-\frac{280 B \,a^{4} b^{6} d^{3} x^{3}}{e^{5}}+\frac{200 B \,a^{3} b^{7} d^{4} x^{3}}{e^{6}}-\frac{90 B \,a^{2} b^{8} d^{5} x^{3}}{e^{7}}+\frac{70 B a \,b^{9} d^{6} x^{3}}{3 e^{8}}-\frac{8 B \,b^{10} d^{7} x^{3}}{3 e^{9}}+\frac{60 A \,a^{7} b^{3} x^{2}}{e^{2}}-\frac{210 A \,a^{6} b^{4} d \,x^{2}}{e^{3}}+\frac{378 A \,a^{5} b^{5} d^{2} x^{2}}{e^{4}}-\frac{420 A \,a^{4} b^{6} d^{3} x^{2}}{e^{5}}+\frac{300 A \,a^{3} b^{7} d^{4} x^{2}}{e^{6}}-\frac{135 A \,a^{2} b^{8} d^{5} x^{2}}{e^{7}}+\frac{35 A a \,b^{9} d^{6} x^{2}}{e^{8}}-\frac{4 A \,b^{10} d^{7} x^{2}}{e^{9}}+\frac{45 B \,a^{8} b^{2} x^{2}}{2 e^{2}}-\frac{120 B \,a^{7} b^{3} d \,x^{2}}{e^{3}}+\frac{315 B \,a^{6} b^{4} d^{2} x^{2}}{e^{4}}-\frac{504 B \,a^{5} b^{5} d^{3} x^{2}}{e^{5}}+\frac{525 B \,a^{4} b^{6} d^{4} x^{2}}{e^{6}}-\frac{360 B \,a^{3} b^{7} d^{5} x^{2}}{e^{7}}+\frac{315 B \,a^{2} b^{8} d^{6} x^{2}}{2 e^{8}}-\frac{40 B a \,b^{9} d^{7} x^{2}}{e^{9}}+\frac{9 B \,b^{10} d^{8} x^{2}}{2 e^{10}}-\frac{A \,a^{10}}{\left(e x +d \right) e}+\frac{10 A \,a^{9} b d}{\left(e x +d \right) e^{2}}+\frac{10 A \,a^{9} b \ln \left(e x +d \right)}{e^{2}}-\frac{45 A \,a^{8} b^{2} d^{2}}{\left(e x +d \right) e^{3}}-\frac{90 A \,a^{8} b^{2} d \ln \left(e x +d \right)}{e^{3}}+\frac{45 A \,a^{8} b^{2} x}{e^{2}}+\frac{120 A \,a^{7} b^{3} d^{3}}{\left(e x +d \right) e^{4}}+\frac{360 A \,a^{7} b^{3} d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{240 A \,a^{7} b^{3} d x}{e^{3}}-\frac{210 A \,a^{6} b^{4} d^{4}}{\left(e x +d \right) e^{5}}-\frac{840 A \,a^{6} b^{4} d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{630 A \,a^{6} b^{4} d^{2} x}{e^{4}}+\frac{252 A \,a^{5} b^{5} d^{5}}{\left(e x +d \right) e^{6}}+\frac{1260 A \,a^{5} b^{5} d^{4} \ln \left(e x +d \right)}{e^{6}}-\frac{1008 A \,a^{5} b^{5} d^{3} x}{e^{5}}-\frac{210 A \,a^{4} b^{6} d^{6}}{\left(e x +d \right) e^{7}}-\frac{1260 A \,a^{4} b^{6} d^{5} \ln \left(e x +d \right)}{e^{7}}+\frac{1050 A \,a^{4} b^{6} d^{4} x}{e^{6}}+\frac{120 A \,a^{3} b^{7} d^{7}}{\left(e x +d \right) e^{8}}+\frac{840 A \,a^{3} b^{7} d^{6} \ln \left(e x +d \right)}{e^{8}}-\frac{720 A \,a^{3} b^{7} d^{5} x}{e^{7}}-\frac{45 A \,a^{2} b^{8} d^{8}}{\left(e x +d \right) e^{9}}-\frac{360 A \,a^{2} b^{8} d^{7} \ln \left(e x +d \right)}{e^{9}}+\frac{315 A \,a^{2} b^{8} d^{6} x}{e^{8}}+\frac{10 A a \,b^{9} d^{9}}{\left(e x +d \right) e^{10}}+\frac{90 A a \,b^{9} d^{8} \ln \left(e x +d \right)}{e^{10}}-\frac{80 A a \,b^{9} d^{7} x}{e^{9}}-\frac{A \,b^{10} d^{10}}{\left(e x +d \right) e^{11}}-\frac{10 A \,b^{10} d^{9} \ln \left(e x +d \right)}{e^{11}}+\frac{9 A \,b^{10} d^{8} x}{e^{10}}+\frac{B \,a^{10} d}{\left(e x +d \right) e^{2}}+\frac{B \,a^{10} \ln \left(e x +d \right)}{e^{2}}-\frac{10 B \,a^{9} b \,d^{2}}{\left(e x +d \right) e^{3}}-\frac{20 B \,a^{9} b d \ln \left(e x +d \right)}{e^{3}}+\frac{10 B \,a^{9} b x}{e^{2}}+\frac{45 B \,a^{8} b^{2} d^{3}}{\left(e x +d \right) e^{4}}+\frac{135 B \,a^{8} b^{2} d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{90 B \,a^{8} b^{2} d x}{e^{3}}-\frac{120 B \,a^{7} b^{3} d^{4}}{\left(e x +d \right) e^{5}}-\frac{480 B \,a^{7} b^{3} d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{360 B \,a^{7} b^{3} d^{2} x}{e^{4}}+\frac{210 B \,a^{6} b^{4} d^{5}}{\left(e x +d \right) e^{6}}+\frac{1050 B \,a^{6} b^{4} d^{4} \ln \left(e x +d \right)}{e^{6}}-\frac{840 B \,a^{6} b^{4} d^{3} x}{e^{5}}-\frac{252 B \,a^{5} b^{5} d^{6}}{\left(e x +d \right) e^{7}}-\frac{1512 B \,a^{5} b^{5} d^{5} \ln \left(e x +d \right)}{e^{7}}+\frac{1260 B \,a^{5} b^{5} d^{4} x}{e^{6}}+\frac{210 B \,a^{4} b^{6} d^{7}}{\left(e x +d \right) e^{8}}+\frac{1470 B \,a^{4} b^{6} d^{6} \ln \left(e x +d \right)}{e^{8}}-\frac{1260 B \,a^{4} b^{6} d^{5} x}{e^{7}}-\frac{120 B \,a^{3} b^{7} d^{8}}{\left(e x +d \right) e^{9}}-\frac{960 B \,a^{3} b^{7} d^{7} \ln \left(e x +d \right)}{e^{9}}+\frac{840 B \,a^{3} b^{7} d^{6} x}{e^{8}}+\frac{45 B \,a^{2} b^{8} d^{9}}{\left(e x +d \right) e^{10}}+\frac{405 B \,a^{2} b^{8} d^{8} \ln \left(e x +d \right)}{e^{10}}-\frac{360 B \,a^{2} b^{8} d^{7} x}{e^{9}}-\frac{10 B a \,b^{9} d^{10}}{\left(e x +d \right) e^{11}}-\frac{100 B a \,b^{9} d^{9} \ln \left(e x +d \right)}{e^{11}}+\frac{90 B a \,b^{9} d^{8} x}{e^{10}}+\frac{B \,b^{10} d^{11}}{\left(e x +d \right) e^{12}}+\frac{11 B \,b^{10} d^{10} \ln \left(e x +d \right)}{e^{12}}-\frac{10 B \,b^{10} d^{9} x}{e^{11}}"," ",0,"1/e^2*ln(e*x+d)*B*a^10+1/10*b^10/e^2*B*x^10+1/9*b^10/e^2*A*x^9-1/e/(e*x+d)*a^10*A+63*b^5/e^2*A*x^4*a^5-3/2*b^10/e^7*A*x^4*d^5+105/2*b^4/e^2*B*x^4*a^6+7/4*b^10/e^8*B*x^4*d^6+70*b^4/e^2*A*x^3*a^6+7/3*b^10/e^8*A*x^3*d^6+40*b^3/e^2*B*x^3*a^7-8/3*b^10/e^9*B*x^3*d^7+60*b^3/e^2*A*x^2*a^7-4*b^10/e^9*A*x^2*d^7+45/2*b^2/e^2*B*x^2*a^8+9/2*b^10/e^10*B*x^2*d^8+45*b^2/e^2*A*a^8*x+9*b^10/e^10*A*d^8*x-1/e^11/(e*x+d)*A*b^10*d^10+1/e^2/(e*x+d)*B*d*a^10+1/e^12/(e*x+d)*b^10*B*d^11+10/e^2*ln(e*x+d)*A*a^9*b-10/e^11*ln(e*x+d)*A*b^10*d^9+11/e^12*ln(e*x+d)*b^10*B*d^10+b^10/e^6*A*x^5*d^4+10/9*b^9/e^2*B*x^9*a-2/9*b^10/e^3*B*x^9*d+5/4*b^9/e^2*A*x^8*a-1/4*b^10/e^3*A*x^8*d+45/8*b^8/e^2*B*x^8*a^2+3/8*b^10/e^4*B*x^8*d^2+45/7*b^8/e^2*A*x^7*a^2+200*b^7/e^6*B*x^3*a^3*d^4-90*b^8/e^7*B*x^3*a^2*d^5+70/3*b^9/e^8*B*x^3*a*d^6-5/2*b^9/e^3*B*x^8*a*d-20/7*b^9/e^3*A*x^7*a*d-90/7*b^8/e^3*B*x^7*a^2*d+30/7*b^9/e^4*B*x^7*a*d^2-15*b^8/e^3*A*x^6*a^2*d+5*b^9/e^4*A*x^6*a*d^2-40*b^7/e^3*B*x^6*a^3*d+45/2*b^8/e^4*B*x^6*a^2*d^2-20/3*b^9/e^5*B*x^6*a*d^3-48*b^7/e^3*A*x^5*a^3*d+27*b^8/e^4*A*x^5*a^2*d^2-8*b^9/e^5*A*x^5*a*d^3-84*b^6/e^3*B*x^5*a^4*d+72*b^7/e^4*B*x^5*a^3*d^2-36*b^8/e^5*B*x^5*a^2*d^3+10*b^9/e^6*B*x^5*a*d^4-105*b^6/e^3*A*x^4*a^4*d+90*b^7/e^4*A*x^4*a^3*d^2-45*b^8/e^5*A*x^4*a^2*d^3+25/2*b^9/e^6*A*x^4*a*d^4-126*b^5/e^3*B*x^4*a^5*d+315/2*b^6/e^4*B*x^4*a^4*d^2-120*b^7/e^5*B*x^4*a^3*d^3+225/4*b^8/e^6*B*x^4*a^2*d^4-15*b^9/e^7*B*x^4*a*d^5-168*b^5/e^3*A*x^3*a^5*d+210*b^6/e^4*A*x^3*a^4*d^2-160*b^7/e^5*A*x^3*a^3*d^3+75*b^8/e^6*A*x^3*a^2*d^4-20*b^9/e^7*A*x^3*a*d^5+630*b^4/e^4*A*a^6*d^2*x-1008*b^5/e^5*A*a^5*d^3*x+1050*b^6/e^6*A*a^4*d^4*x-720*b^7/e^7*A*a^3*d^5*x+315*b^8/e^8*A*a^2*d^6*x-80*b^9/e^9*A*a*d^7*x-90*b^2/e^3*B*a^8*d*x+360*b^3/e^4*B*a^7*d^2*x-840*b^4/e^5*B*a^6*d^3*x+1260*b^5/e^6*B*a^5*d^4*x-1260*b^6/e^7*B*a^4*d^5*x+840*b^7/e^8*B*a^3*d^6*x-360*b^8/e^9*B*a^2*d^7*x+90*b^9/e^10*B*a*d^8*x+10/e^2/(e*x+d)*A*d*a^9*b-45/e^3/(e*x+d)*A*a^8*b^2*d^2+120/e^4/(e*x+d)*A*a^7*b^3*d^3-210/e^5/(e*x+d)*A*a^6*b^4*d^4+252/e^6/(e*x+d)*A*a^5*b^5*d^5-210/e^7/(e*x+d)*A*a^4*b^6*d^6+120/e^8/(e*x+d)*A*a^3*b^7*d^7-45/e^9/(e*x+d)*A*a^2*b^8*d^8+10/e^10/(e*x+d)*A*a*b^9*d^9-10/e^3/(e*x+d)*B*a^9*b*d^2+45/e^4/(e*x+d)*B*a^8*b^2*d^3-120/e^5/(e*x+d)*B*a^7*b^3*d^4+210/e^6/(e*x+d)*B*a^6*b^4*d^5-252/e^7/(e*x+d)*B*a^5*b^5*d^6+210/e^8/(e*x+d)*B*a^4*b^6*d^7-120/e^9/(e*x+d)*B*a^3*b^7*d^8+45/e^10/(e*x+d)*B*a^2*b^8*d^9-10/e^11/(e*x+d)*B*a*b^9*d^10-90/e^3*ln(e*x+d)*A*a^8*b^2*d+360/e^4*ln(e*x+d)*A*a^7*b^3*d^2-840/e^5*ln(e*x+d)*A*a^6*b^4*d^3+1260/e^6*ln(e*x+d)*A*a^5*b^5*d^4-1260/e^7*ln(e*x+d)*A*a^4*b^6*d^5+840/e^8*ln(e*x+d)*A*a^3*b^7*d^6-360/e^9*ln(e*x+d)*A*a^2*b^8*d^7+90/e^10*ln(e*x+d)*A*a*b^9*d^8-20/e^3*ln(e*x+d)*B*a^9*b*d+135/e^4*ln(e*x+d)*B*a^8*b^2*d^2-480/e^5*ln(e*x+d)*B*a^7*b^3*d^3+1050/e^6*ln(e*x+d)*B*a^6*b^4*d^4-1512/e^7*ln(e*x+d)*B*a^5*b^5*d^5+1470/e^8*ln(e*x+d)*B*a^4*b^6*d^6-960/e^9*ln(e*x+d)*B*a^3*b^7*d^7+405/e^10*ln(e*x+d)*B*a^2*b^8*d^8-100/e^11*ln(e*x+d)*B*a*b^9*d^9-210*b^4/e^3*A*x^2*a^6*d+378*b^5/e^4*A*x^2*a^5*d^2-420*b^6/e^5*A*x^2*a^4*d^3+300*b^7/e^6*A*x^2*a^3*d^4-135*b^8/e^7*A*x^2*a^2*d^5+35*b^9/e^8*A*x^2*a*d^6-120*b^3/e^3*B*x^2*a^7*d+315*b^4/e^4*B*x^2*a^6*d^2-504*b^5/e^5*B*x^2*a^5*d^3+525*b^6/e^6*B*x^2*a^4*d^4-360*b^7/e^7*B*x^2*a^3*d^5+315/2*b^8/e^8*B*x^2*a^2*d^6-40*b^9/e^9*B*x^2*a*d^7-240*b^3/e^3*A*a^7*d*x-140*b^4/e^3*B*x^3*a^6*d+252*b^5/e^4*B*x^3*a^5*d^2-280*b^6/e^5*B*x^3*a^4*d^3+10*b/e^2*B*a^9*x-10*b^10/e^11*B*d^9*x+3/7*b^10/e^4*A*x^7*d^2+120/7*b^7/e^2*B*x^7*a^3-4/7*b^10/e^5*B*x^7*d^3+20*b^7/e^2*A*x^6*a^3-2/3*b^10/e^5*A*x^6*d^3+35*b^6/e^2*B*x^6*a^4+5/6*b^10/e^6*B*x^6*d^4+42*b^6/e^2*A*x^5*a^4+252/5*b^5/e^2*B*x^5*a^5-6/5*b^10/e^7*B*x^5*d^5","B"
1091,1,2532,433,0.028000," ","int((b*x+a)^10*(B*x+A)/(e*x+d)^3,x)","\frac{B \,b^{10} x^{9}}{9 e^{3}}+\frac{A \,b^{10} x^{8}}{8 e^{3}}+\frac{5 B a \,b^{9} x^{8}}{4 e^{3}}-\frac{3 B \,b^{10} d \,x^{8}}{8 e^{4}}+\frac{10 A a \,b^{9} x^{7}}{7 e^{3}}-\frac{3 A \,b^{10} d \,x^{7}}{7 e^{4}}+\frac{45 B \,a^{2} b^{8} x^{7}}{7 e^{3}}-\frac{30 B a \,b^{9} d \,x^{7}}{7 e^{4}}+\frac{6 B \,b^{10} d^{2} x^{7}}{7 e^{5}}+\frac{15 A \,a^{2} b^{8} x^{6}}{2 e^{3}}-\frac{5 A a \,b^{9} d \,x^{6}}{e^{4}}+\frac{A \,b^{10} d^{2} x^{6}}{e^{5}}+\frac{20 B \,a^{3} b^{7} x^{6}}{e^{3}}-\frac{45 B \,a^{2} b^{8} d \,x^{6}}{2 e^{4}}+\frac{10 B a \,b^{9} d^{2} x^{6}}{e^{5}}-\frac{5 B \,b^{10} d^{3} x^{6}}{3 e^{6}}+\frac{24 A \,a^{3} b^{7} x^{5}}{e^{3}}-\frac{27 A \,a^{2} b^{8} d \,x^{5}}{e^{4}}+\frac{12 A a \,b^{9} d^{2} x^{5}}{e^{5}}-\frac{2 A \,b^{10} d^{3} x^{5}}{e^{6}}+\frac{42 B \,a^{4} b^{6} x^{5}}{e^{3}}-\frac{72 B \,a^{3} b^{7} d \,x^{5}}{e^{4}}+\frac{54 B \,a^{2} b^{8} d^{2} x^{5}}{e^{5}}-\frac{20 B a \,b^{9} d^{3} x^{5}}{e^{6}}+\frac{3 B \,b^{10} d^{4} x^{5}}{e^{7}}+\frac{105 A \,a^{4} b^{6} x^{4}}{2 e^{3}}-\frac{90 A \,a^{3} b^{7} d \,x^{4}}{e^{4}}+\frac{135 A \,a^{2} b^{8} d^{2} x^{4}}{2 e^{5}}-\frac{25 A a \,b^{9} d^{3} x^{4}}{e^{6}}+\frac{15 A \,b^{10} d^{4} x^{4}}{4 e^{7}}+\frac{63 B \,a^{5} b^{5} x^{4}}{e^{3}}-\frac{315 B \,a^{4} b^{6} d \,x^{4}}{2 e^{4}}+\frac{180 B \,a^{3} b^{7} d^{2} x^{4}}{e^{5}}-\frac{225 B \,a^{2} b^{8} d^{3} x^{4}}{2 e^{6}}+\frac{75 B a \,b^{9} d^{4} x^{4}}{2 e^{7}}-\frac{21 B \,b^{10} d^{5} x^{4}}{4 e^{8}}+\frac{84 A \,a^{5} b^{5} x^{3}}{e^{3}}-\frac{210 A \,a^{4} b^{6} d \,x^{3}}{e^{4}}+\frac{240 A \,a^{3} b^{7} d^{2} x^{3}}{e^{5}}-\frac{150 A \,a^{2} b^{8} d^{3} x^{3}}{e^{6}}+\frac{50 A a \,b^{9} d^{4} x^{3}}{e^{7}}-\frac{7 A \,b^{10} d^{5} x^{3}}{e^{8}}+\frac{70 B \,a^{6} b^{4} x^{3}}{e^{3}}-\frac{252 B \,a^{5} b^{5} d \,x^{3}}{e^{4}}+\frac{420 B \,a^{4} b^{6} d^{2} x^{3}}{e^{5}}-\frac{400 B \,a^{3} b^{7} d^{3} x^{3}}{e^{6}}+\frac{225 B \,a^{2} b^{8} d^{4} x^{3}}{e^{7}}-\frac{70 B a \,b^{9} d^{5} x^{3}}{e^{8}}+\frac{28 B \,b^{10} d^{6} x^{3}}{3 e^{9}}-\frac{A \,a^{10}}{2 \left(e x +d \right)^{2} e}+\frac{5 A \,a^{9} b d}{\left(e x +d \right)^{2} e^{2}}-\frac{45 A \,a^{8} b^{2} d^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{60 A \,a^{7} b^{3} d^{3}}{\left(e x +d \right)^{2} e^{4}}-\frac{105 A \,a^{6} b^{4} d^{4}}{\left(e x +d \right)^{2} e^{5}}+\frac{105 A \,a^{6} b^{4} x^{2}}{e^{3}}+\frac{126 A \,a^{5} b^{5} d^{5}}{\left(e x +d \right)^{2} e^{6}}-\frac{378 A \,a^{5} b^{5} d \,x^{2}}{e^{4}}-\frac{105 A \,a^{4} b^{6} d^{6}}{\left(e x +d \right)^{2} e^{7}}+\frac{630 A \,a^{4} b^{6} d^{2} x^{2}}{e^{5}}+\frac{60 A \,a^{3} b^{7} d^{7}}{\left(e x +d \right)^{2} e^{8}}-\frac{600 A \,a^{3} b^{7} d^{3} x^{2}}{e^{6}}-\frac{45 A \,a^{2} b^{8} d^{8}}{2 \left(e x +d \right)^{2} e^{9}}+\frac{675 A \,a^{2} b^{8} d^{4} x^{2}}{2 e^{7}}+\frac{5 A a \,b^{9} d^{9}}{\left(e x +d \right)^{2} e^{10}}-\frac{105 A a \,b^{9} d^{5} x^{2}}{e^{8}}-\frac{A \,b^{10} d^{10}}{2 \left(e x +d \right)^{2} e^{11}}+\frac{14 A \,b^{10} d^{6} x^{2}}{e^{9}}+\frac{B \,a^{10} d}{2 \left(e x +d \right)^{2} e^{2}}-\frac{5 B \,a^{9} b \,d^{2}}{\left(e x +d \right)^{2} e^{3}}+\frac{45 B \,a^{8} b^{2} d^{3}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{60 B \,a^{7} b^{3} d^{4}}{\left(e x +d \right)^{2} e^{5}}+\frac{60 B \,a^{7} b^{3} x^{2}}{e^{3}}+\frac{105 B \,a^{6} b^{4} d^{5}}{\left(e x +d \right)^{2} e^{6}}-\frac{315 B \,a^{6} b^{4} d \,x^{2}}{e^{4}}-\frac{126 B \,a^{5} b^{5} d^{6}}{\left(e x +d \right)^{2} e^{7}}+\frac{756 B \,a^{5} b^{5} d^{2} x^{2}}{e^{5}}+\frac{105 B \,a^{4} b^{6} d^{7}}{\left(e x +d \right)^{2} e^{8}}-\frac{1050 B \,a^{4} b^{6} d^{3} x^{2}}{e^{6}}-\frac{60 B \,a^{3} b^{7} d^{8}}{\left(e x +d \right)^{2} e^{9}}+\frac{900 B \,a^{3} b^{7} d^{4} x^{2}}{e^{7}}+\frac{45 B \,a^{2} b^{8} d^{9}}{2 \left(e x +d \right)^{2} e^{10}}-\frac{945 B \,a^{2} b^{8} d^{5} x^{2}}{2 e^{8}}-\frac{5 B a \,b^{9} d^{10}}{\left(e x +d \right)^{2} e^{11}}+\frac{140 B a \,b^{9} d^{6} x^{2}}{e^{9}}+\frac{B \,b^{10} d^{11}}{2 \left(e x +d \right)^{2} e^{12}}-\frac{18 B \,b^{10} d^{7} x^{2}}{e^{10}}-\frac{10 A \,a^{9} b}{\left(e x +d \right) e^{2}}+\frac{90 A \,a^{8} b^{2} d}{\left(e x +d \right) e^{3}}+\frac{45 A \,a^{8} b^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{360 A \,a^{7} b^{3} d^{2}}{\left(e x +d \right) e^{4}}-\frac{360 A \,a^{7} b^{3} d \ln \left(e x +d \right)}{e^{4}}+\frac{120 A \,a^{7} b^{3} x}{e^{3}}+\frac{840 A \,a^{6} b^{4} d^{3}}{\left(e x +d \right) e^{5}}+\frac{1260 A \,a^{6} b^{4} d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{630 A \,a^{6} b^{4} d x}{e^{4}}-\frac{1260 A \,a^{5} b^{5} d^{4}}{\left(e x +d \right) e^{6}}-\frac{2520 A \,a^{5} b^{5} d^{3} \ln \left(e x +d \right)}{e^{6}}+\frac{1512 A \,a^{5} b^{5} d^{2} x}{e^{5}}+\frac{1260 A \,a^{4} b^{6} d^{5}}{\left(e x +d \right) e^{7}}+\frac{3150 A \,a^{4} b^{6} d^{4} \ln \left(e x +d \right)}{e^{7}}-\frac{2100 A \,a^{4} b^{6} d^{3} x}{e^{6}}-\frac{840 A \,a^{3} b^{7} d^{6}}{\left(e x +d \right) e^{8}}-\frac{2520 A \,a^{3} b^{7} d^{5} \ln \left(e x +d \right)}{e^{8}}+\frac{1800 A \,a^{3} b^{7} d^{4} x}{e^{7}}+\frac{360 A \,a^{2} b^{8} d^{7}}{\left(e x +d \right) e^{9}}+\frac{1260 A \,a^{2} b^{8} d^{6} \ln \left(e x +d \right)}{e^{9}}-\frac{945 A \,a^{2} b^{8} d^{5} x}{e^{8}}-\frac{90 A a \,b^{9} d^{8}}{\left(e x +d \right) e^{10}}-\frac{360 A a \,b^{9} d^{7} \ln \left(e x +d \right)}{e^{10}}+\frac{280 A a \,b^{9} d^{6} x}{e^{9}}+\frac{10 A \,b^{10} d^{9}}{\left(e x +d \right) e^{11}}+\frac{45 A \,b^{10} d^{8} \ln \left(e x +d \right)}{e^{11}}-\frac{36 A \,b^{10} d^{7} x}{e^{10}}-\frac{B \,a^{10}}{\left(e x +d \right) e^{2}}+\frac{20 B \,a^{9} b d}{\left(e x +d \right) e^{3}}+\frac{10 B \,a^{9} b \ln \left(e x +d \right)}{e^{3}}-\frac{135 B \,a^{8} b^{2} d^{2}}{\left(e x +d \right) e^{4}}-\frac{135 B \,a^{8} b^{2} d \ln \left(e x +d \right)}{e^{4}}+\frac{45 B \,a^{8} b^{2} x}{e^{3}}+\frac{480 B \,a^{7} b^{3} d^{3}}{\left(e x +d \right) e^{5}}+\frac{720 B \,a^{7} b^{3} d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{360 B \,a^{7} b^{3} d x}{e^{4}}-\frac{1050 B \,a^{6} b^{4} d^{4}}{\left(e x +d \right) e^{6}}-\frac{2100 B \,a^{6} b^{4} d^{3} \ln \left(e x +d \right)}{e^{6}}+\frac{1260 B \,a^{6} b^{4} d^{2} x}{e^{5}}+\frac{1512 B \,a^{5} b^{5} d^{5}}{\left(e x +d \right) e^{7}}+\frac{3780 B \,a^{5} b^{5} d^{4} \ln \left(e x +d \right)}{e^{7}}-\frac{2520 B \,a^{5} b^{5} d^{3} x}{e^{6}}-\frac{1470 B \,a^{4} b^{6} d^{6}}{\left(e x +d \right) e^{8}}-\frac{4410 B \,a^{4} b^{6} d^{5} \ln \left(e x +d \right)}{e^{8}}+\frac{3150 B \,a^{4} b^{6} d^{4} x}{e^{7}}+\frac{960 B \,a^{3} b^{7} d^{7}}{\left(e x +d \right) e^{9}}+\frac{3360 B \,a^{3} b^{7} d^{6} \ln \left(e x +d \right)}{e^{9}}-\frac{2520 B \,a^{3} b^{7} d^{5} x}{e^{8}}-\frac{405 B \,a^{2} b^{8} d^{8}}{\left(e x +d \right) e^{10}}-\frac{1620 B \,a^{2} b^{8} d^{7} \ln \left(e x +d \right)}{e^{10}}+\frac{1260 B \,a^{2} b^{8} d^{6} x}{e^{9}}+\frac{100 B a \,b^{9} d^{9}}{\left(e x +d \right) e^{11}}+\frac{450 B a \,b^{9} d^{8} \ln \left(e x +d \right)}{e^{11}}-\frac{360 B a \,b^{9} d^{7} x}{e^{10}}-\frac{11 B \,b^{10} d^{10}}{\left(e x +d \right) e^{12}}-\frac{55 B \,b^{10} d^{9} \ln \left(e x +d \right)}{e^{12}}+\frac{45 B \,b^{10} d^{8} x}{e^{11}}"," ",0,"60/e^8/(e*x+d)^2*A*a^3*b^7*d^7-45/2/e^9/(e*x+d)^2*A*a^2*b^8*d^8+5/e^10/(e*x+d)^2*A*a*b^9*d^9-5/e^3/(e*x+d)^2*B*d^2*a^9*b+45/2/e^4/(e*x+d)^2*B*a^8*b^2*d^3-60/e^5/(e*x+d)^2*B*a^7*b^3*d^4+105/e^6/(e*x+d)^2*B*a^6*b^4*d^5-126/e^7/(e*x+d)^2*B*a^5*b^5*d^6+105/e^8/(e*x+d)^2*B*a^4*b^6*d^7-60/e^9/(e*x+d)^2*B*a^3*b^7*d^8+45/2/e^10/(e*x+d)^2*B*a^2*b^8*d^9-5/e^11/(e*x+d)^2*B*a*b^9*d^10+240*b^7/e^5*A*x^3*a^3*d^2-150*b^8/e^6*A*x^3*a^2*d^3+50*b^9/e^7*A*x^3*a*d^4-252*b^5/e^4*B*x^3*a^5*d+420*b^6/e^5*B*x^3*a^4*d^2-400*b^7/e^6*B*x^3*a^3*d^3+225*b^8/e^7*B*x^3*a^2*d^4-70*b^9/e^8*B*x^3*a*d^5-210*b^6/e^4*A*x^3*a^4*d-2100*b^6/e^6*A*a^4*d^3*x+1800*b^7/e^7*A*a^3*d^4*x-945*b^8/e^8*A*a^2*d^5*x+280*b^9/e^9*A*a*d^6*x-360*b^3/e^4*B*a^7*d*x+1260*b^4/e^5*B*a^6*d^2*x-1/e^2/(e*x+d)*B*a^10-1/2/e/(e*x+d)^2*a^10*A+1/9*b^10/e^3*B*x^9+1/8*b^10/e^3*A*x^8+24*b^7/e^3*A*x^5*a^3-2*b^10/e^6*A*x^5*d^3+42*b^6/e^3*B*x^5*a^4+3*b^10/e^7*B*x^5*d^4-10/e^2/(e*x+d)*A*a^9*b+10/e^11/(e*x+d)*A*b^10*d^9-11/e^12/(e*x+d)*b^10*B*d^10+45*b^2/e^3*ln(e*x+d)*A*a^8+45*b^10/e^11*ln(e*x+d)*A*d^8+10*b/e^3*ln(e*x+d)*B*a^9-55*b^10/e^12*ln(e*x+d)*B*d^9-1/2/e^11/(e*x+d)^2*A*b^10*d^10+1/2/e^2/(e*x+d)^2*B*d*a^10+1/2/e^12/(e*x+d)^2*b^10*B*d^11+b^10/e^5*A*x^6*d^2+105/2*b^6/e^3*A*x^4*a^4+15/4*b^10/e^7*A*x^4*d^4+63*b^5/e^3*B*x^4*a^5-21/4*b^10/e^8*B*x^4*d^5+84*b^5/e^3*A*x^3*a^5-7*b^10/e^8*A*x^3*d^5+70*b^4/e^3*B*x^3*a^6+28/3*b^10/e^9*B*x^3*d^6+105*b^4/e^3*A*x^2*a^6+14*b^10/e^9*A*x^2*d^6+60*b^3/e^3*B*x^2*a^7-18*b^10/e^10*B*x^2*d^7+120*b^3/e^3*A*a^7*x-36*b^10/e^10*A*d^7*x+5/4*b^9/e^3*B*x^8*a-3/8*b^10/e^4*B*x^8*d+10/7*b^9/e^3*A*x^7*a-3/7*b^10/e^4*A*x^7*d+45/7*b^8/e^3*B*x^7*a^2+6/7*b^10/e^5*B*x^7*d^2+15/2*b^8/e^3*A*x^6*a^2+45*b^2/e^3*B*a^8*x+45*b^10/e^11*B*d^8*x-2520*b^5/e^6*B*a^5*d^3*x+3150*b^6/e^7*B*a^4*d^4*x-2520*b^7/e^8*B*a^3*d^5*x+1260*b^8/e^9*B*a^2*d^6*x-360*b^9/e^10*B*a*d^7*x+1512*b^5/e^5*A*a^5*d^2*x-30/7*b^9/e^4*B*x^7*a*d-5*b^9/e^4*A*x^6*a*d-45/2*b^8/e^4*B*x^6*a^2*d+10*b^9/e^5*B*x^6*a*d^2-27*b^8/e^4*A*x^5*a^2*d+12*b^9/e^5*A*x^5*a*d^2-72*b^7/e^4*B*x^5*a^3*d+54*b^8/e^5*B*x^5*a^2*d^2-20*b^9/e^6*B*x^5*a*d^3-378*b^5/e^4*A*x^2*a^5*d+630*b^6/e^5*A*x^2*a^4*d^2-600*b^7/e^6*A*x^2*a^3*d^3+675/2*b^8/e^7*A*x^2*a^2*d^4-105*b^9/e^8*A*x^2*a*d^5-315*b^4/e^4*B*x^2*a^6*d+756*b^5/e^5*B*x^2*a^5*d^2-1050*b^6/e^6*B*x^2*a^4*d^3+900*b^7/e^7*B*x^2*a^3*d^4-945/2*b^8/e^8*B*x^2*a^2*d^5+140*b^9/e^9*B*x^2*a*d^6-630*b^4/e^4*A*a^6*d*x-90*b^7/e^4*A*x^4*a^3*d+135/2*b^8/e^5*A*x^4*a^2*d^2-25*b^9/e^6*A*x^4*a*d^3-315/2*b^6/e^4*B*x^4*a^4*d+180*b^7/e^5*B*x^4*a^3*d^2-225/2*b^8/e^6*B*x^4*a^2*d^3+75/2*b^9/e^7*B*x^4*a*d^4+90/e^3/(e*x+d)*A*a^8*b^2*d-360/e^4/(e*x+d)*A*a^7*b^3*d^2+840/e^5/(e*x+d)*A*a^6*b^4*d^3-1260/e^6/(e*x+d)*A*a^5*b^5*d^4+1260/e^7/(e*x+d)*A*a^4*b^6*d^5-840/e^8/(e*x+d)*A*a^3*b^7*d^6+360/e^9/(e*x+d)*A*a^2*b^8*d^7-90/e^10/(e*x+d)*A*a*b^9*d^8+20/e^3/(e*x+d)*B*a^9*b*d-135/e^4/(e*x+d)*B*a^8*b^2*d^2+480/e^5/(e*x+d)*B*a^7*b^3*d^3-1050/e^6/(e*x+d)*B*a^6*b^4*d^4+1512/e^7/(e*x+d)*B*a^5*b^5*d^5-1470/e^8/(e*x+d)*B*a^4*b^6*d^6+960/e^9/(e*x+d)*B*a^3*b^7*d^7-405/e^10/(e*x+d)*B*a^2*b^8*d^8+100/e^11/(e*x+d)*B*a*b^9*d^9-360*b^3/e^4*ln(e*x+d)*A*a^7*d+1260*b^4/e^5*ln(e*x+d)*A*a^6*d^2-2520*b^5/e^6*ln(e*x+d)*A*a^5*d^3+3150*b^6/e^7*ln(e*x+d)*A*a^4*d^4-2520*b^7/e^8*ln(e*x+d)*A*a^3*d^5+1260*b^8/e^9*ln(e*x+d)*A*a^2*d^6-360*b^9/e^10*ln(e*x+d)*A*a*d^7-135*b^2/e^4*ln(e*x+d)*B*a^8*d+720*b^3/e^5*ln(e*x+d)*B*a^7*d^2-2100*b^4/e^6*ln(e*x+d)*B*a^6*d^3+3780*b^5/e^7*ln(e*x+d)*B*a^5*d^4-4410*b^6/e^8*ln(e*x+d)*B*a^4*d^5+3360*b^7/e^9*ln(e*x+d)*B*a^3*d^6-1620*b^8/e^10*ln(e*x+d)*B*a^2*d^7+450*b^9/e^11*ln(e*x+d)*B*a*d^8+5/e^2/(e*x+d)^2*A*d*a^9*b-45/2/e^3/(e*x+d)^2*A*d^2*a^8*b^2+60/e^4/(e*x+d)^2*A*a^7*b^3*d^3-105/e^5/(e*x+d)^2*A*a^6*b^4*d^4+126/e^6/(e*x+d)^2*A*a^5*b^5*d^5-105/e^7/(e*x+d)^2*A*a^4*b^6*d^6+20*b^7/e^3*B*x^6*a^3-5/3*b^10/e^6*B*x^6*d^3","B"
1092,1,2607,433,0.034000," ","int((b*x+a)^10*(B*x+A)/(e*x+d)^4,x)","\frac{B \,b^{10} x^{8}}{8 e^{4}}+\frac{A \,b^{10} x^{7}}{7 e^{4}}+\frac{10 B a \,b^{9} x^{7}}{7 e^{4}}-\frac{4 B \,b^{10} d \,x^{7}}{7 e^{5}}+\frac{5 A a \,b^{9} x^{6}}{3 e^{4}}-\frac{2 A \,b^{10} d \,x^{6}}{3 e^{5}}+\frac{15 B \,a^{2} b^{8} x^{6}}{2 e^{4}}-\frac{20 B a \,b^{9} d \,x^{6}}{3 e^{5}}+\frac{5 B \,b^{10} d^{2} x^{6}}{3 e^{6}}+\frac{9 A \,a^{2} b^{8} x^{5}}{e^{4}}-\frac{8 A a \,b^{9} d \,x^{5}}{e^{5}}+\frac{2 A \,b^{10} d^{2} x^{5}}{e^{6}}+\frac{24 B \,a^{3} b^{7} x^{5}}{e^{4}}-\frac{36 B \,a^{2} b^{8} d \,x^{5}}{e^{5}}+\frac{20 B a \,b^{9} d^{2} x^{5}}{e^{6}}-\frac{4 B \,b^{10} d^{3} x^{5}}{e^{7}}+\frac{30 A \,a^{3} b^{7} x^{4}}{e^{4}}-\frac{45 A \,a^{2} b^{8} d \,x^{4}}{e^{5}}+\frac{25 A a \,b^{9} d^{2} x^{4}}{e^{6}}-\frac{5 A \,b^{10} d^{3} x^{4}}{e^{7}}+\frac{105 B \,a^{4} b^{6} x^{4}}{2 e^{4}}-\frac{120 B \,a^{3} b^{7} d \,x^{4}}{e^{5}}+\frac{225 B \,a^{2} b^{8} d^{2} x^{4}}{2 e^{6}}-\frac{50 B a \,b^{9} d^{3} x^{4}}{e^{7}}+\frac{35 B \,b^{10} d^{4} x^{4}}{4 e^{8}}-\frac{A \,a^{10}}{3 \left(e x +d \right)^{3} e}+\frac{10 A \,a^{9} b d}{3 \left(e x +d \right)^{3} e^{2}}-\frac{15 A \,a^{8} b^{2} d^{2}}{\left(e x +d \right)^{3} e^{3}}+\frac{40 A \,a^{7} b^{3} d^{3}}{\left(e x +d \right)^{3} e^{4}}-\frac{70 A \,a^{6} b^{4} d^{4}}{\left(e x +d \right)^{3} e^{5}}+\frac{84 A \,a^{5} b^{5} d^{5}}{\left(e x +d \right)^{3} e^{6}}-\frac{70 A \,a^{4} b^{6} d^{6}}{\left(e x +d \right)^{3} e^{7}}+\frac{70 A \,a^{4} b^{6} x^{3}}{e^{4}}+\frac{40 A \,a^{3} b^{7} d^{7}}{\left(e x +d \right)^{3} e^{8}}-\frac{160 A \,a^{3} b^{7} d \,x^{3}}{e^{5}}-\frac{15 A \,a^{2} b^{8} d^{8}}{\left(e x +d \right)^{3} e^{9}}+\frac{150 A \,a^{2} b^{8} d^{2} x^{3}}{e^{6}}+\frac{10 A a \,b^{9} d^{9}}{3 \left(e x +d \right)^{3} e^{10}}-\frac{200 A a \,b^{9} d^{3} x^{3}}{3 e^{7}}-\frac{A \,b^{10} d^{10}}{3 \left(e x +d \right)^{3} e^{11}}+\frac{35 A \,b^{10} d^{4} x^{3}}{3 e^{8}}+\frac{B \,a^{10} d}{3 \left(e x +d \right)^{3} e^{2}}-\frac{10 B \,a^{9} b \,d^{2}}{3 \left(e x +d \right)^{3} e^{3}}+\frac{15 B \,a^{8} b^{2} d^{3}}{\left(e x +d \right)^{3} e^{4}}-\frac{40 B \,a^{7} b^{3} d^{4}}{\left(e x +d \right)^{3} e^{5}}+\frac{70 B \,a^{6} b^{4} d^{5}}{\left(e x +d \right)^{3} e^{6}}-\frac{84 B \,a^{5} b^{5} d^{6}}{\left(e x +d \right)^{3} e^{7}}+\frac{84 B \,a^{5} b^{5} x^{3}}{e^{4}}+\frac{70 B \,a^{4} b^{6} d^{7}}{\left(e x +d \right)^{3} e^{8}}-\frac{280 B \,a^{4} b^{6} d \,x^{3}}{e^{5}}-\frac{40 B \,a^{3} b^{7} d^{8}}{\left(e x +d \right)^{3} e^{9}}+\frac{400 B \,a^{3} b^{7} d^{2} x^{3}}{e^{6}}+\frac{15 B \,a^{2} b^{8} d^{9}}{\left(e x +d \right)^{3} e^{10}}-\frac{300 B \,a^{2} b^{8} d^{3} x^{3}}{e^{7}}-\frac{10 B a \,b^{9} d^{10}}{3 \left(e x +d \right)^{3} e^{11}}+\frac{350 B a \,b^{9} d^{4} x^{3}}{3 e^{8}}+\frac{B \,b^{10} d^{11}}{3 \left(e x +d \right)^{3} e^{12}}-\frac{56 B \,b^{10} d^{5} x^{3}}{3 e^{9}}-\frac{5 A \,a^{9} b}{\left(e x +d \right)^{2} e^{2}}+\frac{45 A \,a^{8} b^{2} d}{\left(e x +d \right)^{2} e^{3}}-\frac{180 A \,a^{7} b^{3} d^{2}}{\left(e x +d \right)^{2} e^{4}}+\frac{420 A \,a^{6} b^{4} d^{3}}{\left(e x +d \right)^{2} e^{5}}-\frac{630 A \,a^{5} b^{5} d^{4}}{\left(e x +d \right)^{2} e^{6}}+\frac{126 A \,a^{5} b^{5} x^{2}}{e^{4}}+\frac{630 A \,a^{4} b^{6} d^{5}}{\left(e x +d \right)^{2} e^{7}}-\frac{420 A \,a^{4} b^{6} d \,x^{2}}{e^{5}}-\frac{420 A \,a^{3} b^{7} d^{6}}{\left(e x +d \right)^{2} e^{8}}+\frac{600 A \,a^{3} b^{7} d^{2} x^{2}}{e^{6}}+\frac{180 A \,a^{2} b^{8} d^{7}}{\left(e x +d \right)^{2} e^{9}}-\frac{450 A \,a^{2} b^{8} d^{3} x^{2}}{e^{7}}-\frac{45 A a \,b^{9} d^{8}}{\left(e x +d \right)^{2} e^{10}}+\frac{175 A a \,b^{9} d^{4} x^{2}}{e^{8}}+\frac{5 A \,b^{10} d^{9}}{\left(e x +d \right)^{2} e^{11}}-\frac{28 A \,b^{10} d^{5} x^{2}}{e^{9}}-\frac{B \,a^{10}}{2 \left(e x +d \right)^{2} e^{2}}+\frac{10 B \,a^{9} b d}{\left(e x +d \right)^{2} e^{3}}-\frac{135 B \,a^{8} b^{2} d^{2}}{2 \left(e x +d \right)^{2} e^{4}}+\frac{240 B \,a^{7} b^{3} d^{3}}{\left(e x +d \right)^{2} e^{5}}-\frac{525 B \,a^{6} b^{4} d^{4}}{\left(e x +d \right)^{2} e^{6}}+\frac{105 B \,a^{6} b^{4} x^{2}}{e^{4}}+\frac{756 B \,a^{5} b^{5} d^{5}}{\left(e x +d \right)^{2} e^{7}}-\frac{504 B \,a^{5} b^{5} d \,x^{2}}{e^{5}}-\frac{735 B \,a^{4} b^{6} d^{6}}{\left(e x +d \right)^{2} e^{8}}+\frac{1050 B \,a^{4} b^{6} d^{2} x^{2}}{e^{6}}+\frac{480 B \,a^{3} b^{7} d^{7}}{\left(e x +d \right)^{2} e^{9}}-\frac{1200 B \,a^{3} b^{7} d^{3} x^{2}}{e^{7}}-\frac{405 B \,a^{2} b^{8} d^{8}}{2 \left(e x +d \right)^{2} e^{10}}+\frac{1575 B \,a^{2} b^{8} d^{4} x^{2}}{2 e^{8}}+\frac{50 B a \,b^{9} d^{9}}{\left(e x +d \right)^{2} e^{11}}-\frac{280 B a \,b^{9} d^{5} x^{2}}{e^{9}}-\frac{11 B \,b^{10} d^{10}}{2 \left(e x +d \right)^{2} e^{12}}+\frac{42 B \,b^{10} d^{6} x^{2}}{e^{10}}-\frac{45 A \,a^{8} b^{2}}{\left(e x +d \right) e^{3}}+\frac{360 A \,a^{7} b^{3} d}{\left(e x +d \right) e^{4}}+\frac{120 A \,a^{7} b^{3} \ln \left(e x +d \right)}{e^{4}}-\frac{1260 A \,a^{6} b^{4} d^{2}}{\left(e x +d \right) e^{5}}-\frac{840 A \,a^{6} b^{4} d \ln \left(e x +d \right)}{e^{5}}+\frac{210 A \,a^{6} b^{4} x}{e^{4}}+\frac{2520 A \,a^{5} b^{5} d^{3}}{\left(e x +d \right) e^{6}}+\frac{2520 A \,a^{5} b^{5} d^{2} \ln \left(e x +d \right)}{e^{6}}-\frac{1008 A \,a^{5} b^{5} d x}{e^{5}}-\frac{3150 A \,a^{4} b^{6} d^{4}}{\left(e x +d \right) e^{7}}-\frac{4200 A \,a^{4} b^{6} d^{3} \ln \left(e x +d \right)}{e^{7}}+\frac{2100 A \,a^{4} b^{6} d^{2} x}{e^{6}}+\frac{2520 A \,a^{3} b^{7} d^{5}}{\left(e x +d \right) e^{8}}+\frac{4200 A \,a^{3} b^{7} d^{4} \ln \left(e x +d \right)}{e^{8}}-\frac{2400 A \,a^{3} b^{7} d^{3} x}{e^{7}}-\frac{1260 A \,a^{2} b^{8} d^{6}}{\left(e x +d \right) e^{9}}-\frac{2520 A \,a^{2} b^{8} d^{5} \ln \left(e x +d \right)}{e^{9}}+\frac{1575 A \,a^{2} b^{8} d^{4} x}{e^{8}}+\frac{360 A a \,b^{9} d^{7}}{\left(e x +d \right) e^{10}}+\frac{840 A a \,b^{9} d^{6} \ln \left(e x +d \right)}{e^{10}}-\frac{560 A a \,b^{9} d^{5} x}{e^{9}}-\frac{45 A \,b^{10} d^{8}}{\left(e x +d \right) e^{11}}-\frac{120 A \,b^{10} d^{7} \ln \left(e x +d \right)}{e^{11}}+\frac{84 A \,b^{10} d^{6} x}{e^{10}}-\frac{10 B \,a^{9} b}{\left(e x +d \right) e^{3}}+\frac{135 B \,a^{8} b^{2} d}{\left(e x +d \right) e^{4}}+\frac{45 B \,a^{8} b^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{720 B \,a^{7} b^{3} d^{2}}{\left(e x +d \right) e^{5}}-\frac{480 B \,a^{7} b^{3} d \ln \left(e x +d \right)}{e^{5}}+\frac{120 B \,a^{7} b^{3} x}{e^{4}}+\frac{2100 B \,a^{6} b^{4} d^{3}}{\left(e x +d \right) e^{6}}+\frac{2100 B \,a^{6} b^{4} d^{2} \ln \left(e x +d \right)}{e^{6}}-\frac{840 B \,a^{6} b^{4} d x}{e^{5}}-\frac{3780 B \,a^{5} b^{5} d^{4}}{\left(e x +d \right) e^{7}}-\frac{5040 B \,a^{5} b^{5} d^{3} \ln \left(e x +d \right)}{e^{7}}+\frac{2520 B \,a^{5} b^{5} d^{2} x}{e^{6}}+\frac{4410 B \,a^{4} b^{6} d^{5}}{\left(e x +d \right) e^{8}}+\frac{7350 B \,a^{4} b^{6} d^{4} \ln \left(e x +d \right)}{e^{8}}-\frac{4200 B \,a^{4} b^{6} d^{3} x}{e^{7}}-\frac{3360 B \,a^{3} b^{7} d^{6}}{\left(e x +d \right) e^{9}}-\frac{6720 B \,a^{3} b^{7} d^{5} \ln \left(e x +d \right)}{e^{9}}+\frac{4200 B \,a^{3} b^{7} d^{4} x}{e^{8}}+\frac{1620 B \,a^{2} b^{8} d^{7}}{\left(e x +d \right) e^{10}}+\frac{3780 B \,a^{2} b^{8} d^{6} \ln \left(e x +d \right)}{e^{10}}-\frac{2520 B \,a^{2} b^{8} d^{5} x}{e^{9}}-\frac{450 B a \,b^{9} d^{8}}{\left(e x +d \right) e^{11}}-\frac{1200 B a \,b^{9} d^{7} \ln \left(e x +d \right)}{e^{11}}+\frac{840 B a \,b^{9} d^{6} x}{e^{10}}+\frac{55 B \,b^{10} d^{9}}{\left(e x +d \right) e^{12}}+\frac{165 B \,b^{10} d^{8} \ln \left(e x +d \right)}{e^{12}}-\frac{120 B \,b^{10} d^{7} x}{e^{11}}"," ",0,"-1/2/e^2/(e*x+d)^2*B*a^10+1/8*b^10/e^4*B*x^8+1/7*b^10/e^4*A*x^7-1/3/e/(e*x+d)^3*a^10*A+105/2*b^6/e^4*B*x^4*a^4+35/4*b^10/e^8*B*x^4*d^4+70*b^6/e^4*A*x^3*a^4+35/3*b^10/e^8*A*x^3*d^4+84*b^5/e^4*B*x^3*a^5-56/3*b^10/e^9*B*x^3*d^5+126*b^5/e^4*A*x^2*a^5+5/e^11/(e*x+d)^2*A*b^10*d^9-11/2/e^12/(e*x+d)^2*b^10*B*d^10-28*b^10/e^9*A*x^2*d^5+105*b^4/e^4*B*x^2*a^6+42*b^10/e^10*B*x^2*d^6+210*b^4/e^4*A*a^6*x+84*b^10/e^10*A*d^6*x+10/7*b^9/e^4*B*x^7*a-4/7*b^10/e^5*B*x^7*d+5/3*b^9/e^4*A*x^6*a-2/3*b^10/e^5*A*x^6*d+15/2*b^8/e^4*B*x^6*a^2+5/3*b^10/e^6*B*x^6*d^2+9*b^8/e^4*A*x^5*a^2+2*b^10/e^6*A*x^5*d^2+24*b^7/e^4*B*x^5*a^3-4*b^10/e^7*B*x^5*d^3-45*b^2/e^3/(e*x+d)*A*a^8-45*b^10/e^11/(e*x+d)*A*d^8-10*b/e^3/(e*x+d)*B*a^9+55*b^10/e^12/(e*x+d)*B*d^9-1/3/e^11/(e*x+d)^3*A*b^10*d^10+1/3/e^2/(e*x+d)^3*B*d*a^10+1/3/e^12/(e*x+d)^3*b^10*B*d^11+120*b^3/e^4*ln(e*x+d)*A*a^7-120*b^10/e^11*ln(e*x+d)*A*d^7+45*b^2/e^4*ln(e*x+d)*B*a^8+165*b^10/e^12*ln(e*x+d)*B*d^8-5/e^2/(e*x+d)^2*A*a^9*b+120*b^3/e^4*B*a^7*x-120*b^10/e^11*B*d^7*x+30*b^7/e^4*A*x^4*a^3-5*b^10/e^7*A*x^4*d^3+840*b^9/e^10*ln(e*x+d)*A*a*d^6-480*b^3/e^5*ln(e*x+d)*B*a^7*d+2100*b^4/e^6*ln(e*x+d)*B*a^6*d^2-5040*b^5/e^7*ln(e*x+d)*B*a^5*d^3+7350*b^6/e^8*ln(e*x+d)*B*a^4*d^4-6720*b^7/e^9*ln(e*x+d)*B*a^3*d^5+3780*b^8/e^10*ln(e*x+d)*B*a^2*d^6-1200*b^9/e^11*ln(e*x+d)*B*a*d^7+45/e^3/(e*x+d)^2*A*a^8*b^2*d-180/e^4/(e*x+d)^2*A*a^7*b^3*d^2+420/e^5/(e*x+d)^2*A*a^6*b^4*d^3-630/e^6/(e*x+d)^2*A*a^5*b^5*d^4+630/e^7/(e*x+d)^2*A*a^4*b^6*d^5-420/e^8/(e*x+d)^2*A*a^3*b^7*d^6+180/e^9/(e*x+d)^2*A*a^2*b^8*d^7-45/e^10/(e*x+d)^2*A*a*b^9*d^8+10/e^3/(e*x+d)^2*B*a^9*b*d-135/2/e^4/(e*x+d)^2*B*a^8*b^2*d^2+240/e^5/(e*x+d)^2*B*a^7*b^3*d^3-525/e^6/(e*x+d)^2*B*a^6*b^4*d^4+756/e^7/(e*x+d)^2*B*a^5*b^5*d^5-735/e^8/(e*x+d)^2*B*a^4*b^6*d^6+480/e^9/(e*x+d)^2*B*a^3*b^7*d^7+25*b^9/e^6*A*x^4*a*d^2-120*b^7/e^5*B*x^4*a^3*d+225/2*b^8/e^6*B*x^4*a^2*d^2-50*b^9/e^7*B*x^4*a*d^3+360*b^3/e^4/(e*x+d)*A*a^7*d-1260*b^4/e^5/(e*x+d)*A*a^6*d^2+2520*b^5/e^6/(e*x+d)*A*a^5*d^3-3150*b^6/e^7/(e*x+d)*A*a^4*d^4+2520*b^7/e^8/(e*x+d)*A*a^3*d^5-1260*b^8/e^9/(e*x+d)*A*a^2*d^6+360*b^9/e^10/(e*x+d)*A*a*d^7+135*b^2/e^4/(e*x+d)*B*a^8*d-720*b^3/e^5/(e*x+d)*B*a^7*d^2+2100*b^4/e^6/(e*x+d)*B*a^6*d^3-3780*b^5/e^7/(e*x+d)*B*a^5*d^4+4410*b^6/e^8/(e*x+d)*B*a^4*d^5-3360*b^7/e^9/(e*x+d)*B*a^3*d^6+1620*b^8/e^10/(e*x+d)*B*a^2*d^7-450*b^9/e^11/(e*x+d)*B*a*d^8+10/3/e^2/(e*x+d)^3*A*d*a^9*b-15/e^3/(e*x+d)^3*A*d^2*a^8*b^2+40/e^4/(e*x+d)^3*A*d^3*a^7*b^3-70/e^5/(e*x+d)^3*A*a^6*b^4*d^4+84/e^6/(e*x+d)^3*A*a^5*b^5*d^5-70/e^7/(e*x+d)^3*A*a^4*b^6*d^6+40/e^8/(e*x+d)^3*A*a^3*b^7*d^7-15/e^9/(e*x+d)^3*A*a^2*b^8*d^8+10/3/e^10/(e*x+d)^3*A*a*b^9*d^9-10/3/e^3/(e*x+d)^3*B*d^2*a^9*b+15/e^4/(e*x+d)^3*B*d^3*a^8*b^2-40/e^5/(e*x+d)^3*B*a^7*b^3*d^4+70/e^6/(e*x+d)^3*B*a^6*b^4*d^5-84/e^7/(e*x+d)^3*B*a^5*b^5*d^6+70/e^8/(e*x+d)^3*B*a^4*b^6*d^7-40/e^9/(e*x+d)^3*B*a^3*b^7*d^8+15/e^10/(e*x+d)^3*B*a^2*b^8*d^9-10/3/e^11/(e*x+d)^3*B*a*b^9*d^10-405/2/e^10/(e*x+d)^2*B*a^2*b^8*d^8+50/e^11/(e*x+d)^2*B*a*b^9*d^9-160*b^7/e^5*A*x^3*a^3*d+150*b^8/e^6*A*x^3*a^2*d^2-200/3*b^9/e^7*A*x^3*a*d^3-280*b^6/e^5*B*x^3*a^4*d+400*b^7/e^6*B*x^3*a^3*d^2-300*b^8/e^7*B*x^3*a^2*d^3+350/3*b^9/e^8*B*x^3*a*d^4-420*b^6/e^5*A*x^2*a^4*d+600*b^7/e^6*A*x^2*a^3*d^2-450*b^8/e^7*A*x^2*a^2*d^3+175*b^9/e^8*A*x^2*a*d^4-504*b^5/e^5*B*x^2*a^5*d+1050*b^6/e^6*B*x^2*a^4*d^2-1200*b^7/e^7*B*x^2*a^3*d^3+1575/2*b^8/e^8*B*x^2*a^2*d^4-280*b^9/e^9*B*x^2*a*d^5-1008*b^5/e^5*A*a^5*d*x+2100*b^6/e^6*A*a^4*d^2*x-2400*b^7/e^7*A*a^3*d^3*x+1575*b^8/e^8*A*a^2*d^4*x-560*b^9/e^9*A*a*d^5*x-840*b^4/e^5*B*a^6*d*x+2520*b^5/e^6*B*a^5*d^2*x-4200*b^6/e^7*B*a^4*d^3*x+4200*b^7/e^8*B*a^3*d^4*x-2520*b^8/e^9*B*a^2*d^5*x+840*b^9/e^10*B*a*d^6*x-20/3*b^9/e^5*B*x^6*a*d-8*b^9/e^5*A*x^5*a*d-36*b^8/e^5*B*x^5*a^2*d+20*b^9/e^6*B*x^5*a*d^2-45*b^8/e^5*A*x^4*a^2*d-840*b^4/e^5*ln(e*x+d)*A*a^6*d+2520*b^5/e^6*ln(e*x+d)*A*a^5*d^2-4200*b^6/e^7*ln(e*x+d)*A*a^4*d^3+4200*b^7/e^8*ln(e*x+d)*A*a^3*d^4-2520*b^8/e^9*ln(e*x+d)*A*a^2*d^5","B"
1093,1,2673,432,0.037000," ","int((b*x+a)^10*(B*x+A)/(e*x+d)^5,x)","\frac{B \,b^{10} x^{7}}{7 e^{5}}+\frac{A \,b^{10} x^{6}}{6 e^{5}}+\frac{5 B a \,b^{9} x^{6}}{3 e^{5}}-\frac{5 B \,b^{10} d \,x^{6}}{6 e^{6}}+\frac{2 A a \,b^{9} x^{5}}{e^{5}}-\frac{A \,b^{10} d \,x^{5}}{e^{6}}+\frac{9 B \,a^{2} b^{8} x^{5}}{e^{5}}-\frac{10 B a \,b^{9} d \,x^{5}}{e^{6}}+\frac{3 B \,b^{10} d^{2} x^{5}}{e^{7}}-\frac{A \,a^{10}}{4 \left(e x +d \right)^{4} e}+\frac{5 A \,a^{9} b d}{2 \left(e x +d \right)^{4} e^{2}}-\frac{45 A \,a^{8} b^{2} d^{2}}{4 \left(e x +d \right)^{4} e^{3}}+\frac{30 A \,a^{7} b^{3} d^{3}}{\left(e x +d \right)^{4} e^{4}}-\frac{105 A \,a^{6} b^{4} d^{4}}{2 \left(e x +d \right)^{4} e^{5}}+\frac{63 A \,a^{5} b^{5} d^{5}}{\left(e x +d \right)^{4} e^{6}}-\frac{105 A \,a^{4} b^{6} d^{6}}{2 \left(e x +d \right)^{4} e^{7}}+\frac{30 A \,a^{3} b^{7} d^{7}}{\left(e x +d \right)^{4} e^{8}}-\frac{45 A \,a^{2} b^{8} d^{8}}{4 \left(e x +d \right)^{4} e^{9}}+\frac{45 A \,a^{2} b^{8} x^{4}}{4 e^{5}}+\frac{5 A a \,b^{9} d^{9}}{2 \left(e x +d \right)^{4} e^{10}}-\frac{25 A a \,b^{9} d \,x^{4}}{2 e^{6}}-\frac{A \,b^{10} d^{10}}{4 \left(e x +d \right)^{4} e^{11}}+\frac{15 A \,b^{10} d^{2} x^{4}}{4 e^{7}}+\frac{B \,a^{10} d}{4 \left(e x +d \right)^{4} e^{2}}-\frac{5 B \,a^{9} b \,d^{2}}{2 \left(e x +d \right)^{4} e^{3}}+\frac{45 B \,a^{8} b^{2} d^{3}}{4 \left(e x +d \right)^{4} e^{4}}-\frac{30 B \,a^{7} b^{3} d^{4}}{\left(e x +d \right)^{4} e^{5}}+\frac{105 B \,a^{6} b^{4} d^{5}}{2 \left(e x +d \right)^{4} e^{6}}-\frac{63 B \,a^{5} b^{5} d^{6}}{\left(e x +d \right)^{4} e^{7}}+\frac{105 B \,a^{4} b^{6} d^{7}}{2 \left(e x +d \right)^{4} e^{8}}-\frac{30 B \,a^{3} b^{7} d^{8}}{\left(e x +d \right)^{4} e^{9}}+\frac{30 B \,a^{3} b^{7} x^{4}}{e^{5}}+\frac{45 B \,a^{2} b^{8} d^{9}}{4 \left(e x +d \right)^{4} e^{10}}-\frac{225 B \,a^{2} b^{8} d \,x^{4}}{4 e^{6}}-\frac{5 B a \,b^{9} d^{10}}{2 \left(e x +d \right)^{4} e^{11}}+\frac{75 B a \,b^{9} d^{2} x^{4}}{2 e^{7}}+\frac{B \,b^{10} d^{11}}{4 \left(e x +d \right)^{4} e^{12}}-\frac{35 B \,b^{10} d^{3} x^{4}}{4 e^{8}}-\frac{10 A \,a^{9} b}{3 \left(e x +d \right)^{3} e^{2}}+\frac{30 A \,a^{8} b^{2} d}{\left(e x +d \right)^{3} e^{3}}-\frac{120 A \,a^{7} b^{3} d^{2}}{\left(e x +d \right)^{3} e^{4}}+\frac{280 A \,a^{6} b^{4} d^{3}}{\left(e x +d \right)^{3} e^{5}}-\frac{420 A \,a^{5} b^{5} d^{4}}{\left(e x +d \right)^{3} e^{6}}+\frac{420 A \,a^{4} b^{6} d^{5}}{\left(e x +d \right)^{3} e^{7}}-\frac{280 A \,a^{3} b^{7} d^{6}}{\left(e x +d \right)^{3} e^{8}}+\frac{40 A \,a^{3} b^{7} x^{3}}{e^{5}}+\frac{120 A \,a^{2} b^{8} d^{7}}{\left(e x +d \right)^{3} e^{9}}-\frac{75 A \,a^{2} b^{8} d \,x^{3}}{e^{6}}-\frac{30 A a \,b^{9} d^{8}}{\left(e x +d \right)^{3} e^{10}}+\frac{50 A a \,b^{9} d^{2} x^{3}}{e^{7}}+\frac{10 A \,b^{10} d^{9}}{3 \left(e x +d \right)^{3} e^{11}}-\frac{35 A \,b^{10} d^{3} x^{3}}{3 e^{8}}-\frac{B \,a^{10}}{3 \left(e x +d \right)^{3} e^{2}}+\frac{20 B \,a^{9} b d}{3 \left(e x +d \right)^{3} e^{3}}-\frac{45 B \,a^{8} b^{2} d^{2}}{\left(e x +d \right)^{3} e^{4}}+\frac{160 B \,a^{7} b^{3} d^{3}}{\left(e x +d \right)^{3} e^{5}}-\frac{350 B \,a^{6} b^{4} d^{4}}{\left(e x +d \right)^{3} e^{6}}+\frac{504 B \,a^{5} b^{5} d^{5}}{\left(e x +d \right)^{3} e^{7}}-\frac{490 B \,a^{4} b^{6} d^{6}}{\left(e x +d \right)^{3} e^{8}}+\frac{70 B \,a^{4} b^{6} x^{3}}{e^{5}}+\frac{320 B \,a^{3} b^{7} d^{7}}{\left(e x +d \right)^{3} e^{9}}-\frac{200 B \,a^{3} b^{7} d \,x^{3}}{e^{6}}-\frac{135 B \,a^{2} b^{8} d^{8}}{\left(e x +d \right)^{3} e^{10}}+\frac{225 B \,a^{2} b^{8} d^{2} x^{3}}{e^{7}}+\frac{100 B a \,b^{9} d^{9}}{3 \left(e x +d \right)^{3} e^{11}}-\frac{350 B a \,b^{9} d^{3} x^{3}}{3 e^{8}}-\frac{11 B \,b^{10} d^{10}}{3 \left(e x +d \right)^{3} e^{12}}+\frac{70 B \,b^{10} d^{4} x^{3}}{3 e^{9}}-\frac{45 A \,a^{8} b^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{180 A \,a^{7} b^{3} d}{\left(e x +d \right)^{2} e^{4}}-\frac{630 A \,a^{6} b^{4} d^{2}}{\left(e x +d \right)^{2} e^{5}}+\frac{1260 A \,a^{5} b^{5} d^{3}}{\left(e x +d \right)^{2} e^{6}}-\frac{1575 A \,a^{4} b^{6} d^{4}}{\left(e x +d \right)^{2} e^{7}}+\frac{105 A \,a^{4} b^{6} x^{2}}{e^{5}}+\frac{1260 A \,a^{3} b^{7} d^{5}}{\left(e x +d \right)^{2} e^{8}}-\frac{300 A \,a^{3} b^{7} d \,x^{2}}{e^{6}}-\frac{630 A \,a^{2} b^{8} d^{6}}{\left(e x +d \right)^{2} e^{9}}+\frac{675 A \,a^{2} b^{8} d^{2} x^{2}}{2 e^{7}}+\frac{180 A a \,b^{9} d^{7}}{\left(e x +d \right)^{2} e^{10}}-\frac{175 A a \,b^{9} d^{3} x^{2}}{e^{8}}-\frac{45 A \,b^{10} d^{8}}{2 \left(e x +d \right)^{2} e^{11}}+\frac{35 A \,b^{10} d^{4} x^{2}}{e^{9}}-\frac{5 B \,a^{9} b}{\left(e x +d \right)^{2} e^{3}}+\frac{135 B \,a^{8} b^{2} d}{2 \left(e x +d \right)^{2} e^{4}}-\frac{360 B \,a^{7} b^{3} d^{2}}{\left(e x +d \right)^{2} e^{5}}+\frac{1050 B \,a^{6} b^{4} d^{3}}{\left(e x +d \right)^{2} e^{6}}-\frac{1890 B \,a^{5} b^{5} d^{4}}{\left(e x +d \right)^{2} e^{7}}+\frac{126 B \,a^{5} b^{5} x^{2}}{e^{5}}+\frac{2205 B \,a^{4} b^{6} d^{5}}{\left(e x +d \right)^{2} e^{8}}-\frac{525 B \,a^{4} b^{6} d \,x^{2}}{e^{6}}-\frac{1680 B \,a^{3} b^{7} d^{6}}{\left(e x +d \right)^{2} e^{9}}+\frac{900 B \,a^{3} b^{7} d^{2} x^{2}}{e^{7}}+\frac{810 B \,a^{2} b^{8} d^{7}}{\left(e x +d \right)^{2} e^{10}}-\frac{1575 B \,a^{2} b^{8} d^{3} x^{2}}{2 e^{8}}-\frac{225 B a \,b^{9} d^{8}}{\left(e x +d \right)^{2} e^{11}}+\frac{350 B a \,b^{9} d^{4} x^{2}}{e^{9}}+\frac{55 B \,b^{10} d^{9}}{2 \left(e x +d \right)^{2} e^{12}}-\frac{63 B \,b^{10} d^{5} x^{2}}{e^{10}}-\frac{120 A \,a^{7} b^{3}}{\left(e x +d \right) e^{4}}+\frac{840 A \,a^{6} b^{4} d}{\left(e x +d \right) e^{5}}+\frac{210 A \,a^{6} b^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{2520 A \,a^{5} b^{5} d^{2}}{\left(e x +d \right) e^{6}}-\frac{1260 A \,a^{5} b^{5} d \ln \left(e x +d \right)}{e^{6}}+\frac{252 A \,a^{5} b^{5} x}{e^{5}}+\frac{4200 A \,a^{4} b^{6} d^{3}}{\left(e x +d \right) e^{7}}+\frac{3150 A \,a^{4} b^{6} d^{2} \ln \left(e x +d \right)}{e^{7}}-\frac{1050 A \,a^{4} b^{6} d x}{e^{6}}-\frac{4200 A \,a^{3} b^{7} d^{4}}{\left(e x +d \right) e^{8}}-\frac{4200 A \,a^{3} b^{7} d^{3} \ln \left(e x +d \right)}{e^{8}}+\frac{1800 A \,a^{3} b^{7} d^{2} x}{e^{7}}+\frac{2520 A \,a^{2} b^{8} d^{5}}{\left(e x +d \right) e^{9}}+\frac{3150 A \,a^{2} b^{8} d^{4} \ln \left(e x +d \right)}{e^{9}}-\frac{1575 A \,a^{2} b^{8} d^{3} x}{e^{8}}-\frac{840 A a \,b^{9} d^{6}}{\left(e x +d \right) e^{10}}-\frac{1260 A a \,b^{9} d^{5} \ln \left(e x +d \right)}{e^{10}}+\frac{700 A a \,b^{9} d^{4} x}{e^{9}}+\frac{120 A \,b^{10} d^{7}}{\left(e x +d \right) e^{11}}+\frac{210 A \,b^{10} d^{6} \ln \left(e x +d \right)}{e^{11}}-\frac{126 A \,b^{10} d^{5} x}{e^{10}}-\frac{45 B \,a^{8} b^{2}}{\left(e x +d \right) e^{4}}+\frac{480 B \,a^{7} b^{3} d}{\left(e x +d \right) e^{5}}+\frac{120 B \,a^{7} b^{3} \ln \left(e x +d \right)}{e^{5}}-\frac{2100 B \,a^{6} b^{4} d^{2}}{\left(e x +d \right) e^{6}}-\frac{1050 B \,a^{6} b^{4} d \ln \left(e x +d \right)}{e^{6}}+\frac{210 B \,a^{6} b^{4} x}{e^{5}}+\frac{5040 B \,a^{5} b^{5} d^{3}}{\left(e x +d \right) e^{7}}+\frac{3780 B \,a^{5} b^{5} d^{2} \ln \left(e x +d \right)}{e^{7}}-\frac{1260 B \,a^{5} b^{5} d x}{e^{6}}-\frac{7350 B \,a^{4} b^{6} d^{4}}{\left(e x +d \right) e^{8}}-\frac{7350 B \,a^{4} b^{6} d^{3} \ln \left(e x +d \right)}{e^{8}}+\frac{3150 B \,a^{4} b^{6} d^{2} x}{e^{7}}+\frac{6720 B \,a^{3} b^{7} d^{5}}{\left(e x +d \right) e^{9}}+\frac{8400 B \,a^{3} b^{7} d^{4} \ln \left(e x +d \right)}{e^{9}}-\frac{4200 B \,a^{3} b^{7} d^{3} x}{e^{8}}-\frac{3780 B \,a^{2} b^{8} d^{6}}{\left(e x +d \right) e^{10}}-\frac{5670 B \,a^{2} b^{8} d^{5} \ln \left(e x +d \right)}{e^{10}}+\frac{3150 B \,a^{2} b^{8} d^{4} x}{e^{9}}+\frac{1200 B a \,b^{9} d^{7}}{\left(e x +d \right) e^{11}}+\frac{2100 B a \,b^{9} d^{6} \ln \left(e x +d \right)}{e^{11}}-\frac{1260 B a \,b^{9} d^{5} x}{e^{10}}-\frac{165 B \,b^{10} d^{8}}{\left(e x +d \right) e^{12}}-\frac{330 B \,b^{10} d^{7} \ln \left(e x +d \right)}{e^{12}}+\frac{210 B \,b^{10} d^{6} x}{e^{11}}"," ",0,"-1/3/e^2/(e*x+d)^3*B*a^10-1/4/e/(e*x+d)^4*a^10*A+1/7*b^10/e^5*B*x^7+1/6*b^10/e^5*A*x^6-11/3/e^12/(e*x+d)^3*b^10*B*d^10-1/4/e^11/(e*x+d)^4*A*b^10*d^10+1/4/e^2/(e*x+d)^4*B*d*a^10+1/4/e^12/(e*x+d)^4*b^10*B*d^11+210*b^4/e^5*ln(e*x+d)*A*a^6+252*b^5/e^5*A*x*a^5-126*b^10/e^10*A*x*d^5+3150*b^8/e^9*B*x*a^2*d^4-4200*b^7/e^8*B*x*a^3*d^3+3150*b^6/e^7*B*x*a^4*d^2+700*b^9/e^9*A*x*a*d^4-1260*b^5/e^6*B*x*a^5*d+1800*b^7/e^7*A*x*a^3*d^2-1575*b^8/e^8*A*x*a^2*d^3-1050*b^6/e^6*A*x*a^4*d-300*b^7/e^6*A*x^2*a^3*d+675/2*b^8/e^7*A*x^2*a^2*d^2-175*b^9/e^8*A*x^2*a*d^3-525*b^6/e^6*B*x^2*a^4*d+900*b^7/e^7*B*x^2*a^3*d^2-1575/2*b^8/e^8*B*x^2*a^2*d^3+350*b^9/e^9*B*x^2*a*d^4-10*b^9/e^6*B*x^5*a*d-25/2*b^9/e^6*A*x^4*a*d-225/4*b^8/e^6*B*x^4*a^2*d+75/2*b^9/e^7*B*x^4*a*d^2-75*b^8/e^6*A*x^3*a^2*d+50*b^9/e^7*A*x^3*a*d^2-200*b^7/e^6*B*x^3*a^3*d+225*b^8/e^7*B*x^3*a^2*d^2-350/3*b^9/e^8*B*x^3*a*d^3-1260*b^9/e^10*B*x*a*d^5+840*b^4/e^5/(e*x+d)*A*a^6*d-2520*b^5/e^6/(e*x+d)*A*a^5*d^2+4200*b^6/e^7/(e*x+d)*A*a^4*d^3-4200*b^7/e^8/(e*x+d)*A*a^3*d^4+2520*b^8/e^9/(e*x+d)*A*a^2*d^5-840*b^9/e^10/(e*x+d)*A*a*d^6+480*b^3/e^5/(e*x+d)*B*a^7*d-2100*b^4/e^6/(e*x+d)*B*a^6*d^2+5040*b^5/e^7/(e*x+d)*B*a^5*d^3-7350*b^6/e^8/(e*x+d)*B*a^4*d^4+6720*b^7/e^9/(e*x+d)*B*a^3*d^5-3780*b^8/e^10/(e*x+d)*B*a^2*d^6+1200*b^9/e^11/(e*x+d)*B*a*d^7+30/e^3/(e*x+d)^3*A*a^8*b^2*d-120/e^4/(e*x+d)^3*A*a^7*b^3*d^2+280/e^5/(e*x+d)^3*A*a^6*b^4*d^3-420/e^6/(e*x+d)^3*A*a^5*b^5*d^4+420/e^7/(e*x+d)^3*A*a^4*b^6*d^5-280/e^8/(e*x+d)^3*A*a^3*b^7*d^6+120/e^9/(e*x+d)^3*A*a^2*b^8*d^7-30/e^10/(e*x+d)^3*A*a*b^9*d^8+20/3/e^3/(e*x+d)^3*B*a^9*b*d-45/e^4/(e*x+d)^3*B*a^8*b^2*d^2+160/e^5/(e*x+d)^3*B*a^7*b^3*d^3-350/e^6/(e*x+d)^3*B*a^6*b^4*d^4+504/e^7/(e*x+d)^3*B*a^5*b^5*d^5-490/e^8/(e*x+d)^3*B*a^4*b^6*d^6+320/e^9/(e*x+d)^3*B*a^3*b^7*d^7-135/e^10/(e*x+d)^3*B*a^2*b^8*d^8+100/3/e^11/(e*x+d)^3*B*a*b^9*d^9+5/2/e^2/(e*x+d)^4*A*d*a^9*b-45/4/e^3/(e*x+d)^4*A*d^2*a^8*b^2+30/e^4/(e*x+d)^4*A*d^3*a^7*b^3-105/2/e^5/(e*x+d)^4*A*d^4*a^6*b^4+63/e^6/(e*x+d)^4*A*a^5*b^5*d^5-105/2/e^7/(e*x+d)^4*A*a^4*b^6*d^6+30/e^8/(e*x+d)^4*A*a^3*b^7*d^7-45/4/e^9/(e*x+d)^4*A*a^2*b^8*d^8+5/2/e^10/(e*x+d)^4*A*a*b^9*d^9-5/2/e^3/(e*x+d)^4*B*d^2*a^9*b+45/4/e^4/(e*x+d)^4*B*d^3*a^8*b^2-30/e^5/(e*x+d)^4*B*d^4*a^7*b^3+105/2/e^6/(e*x+d)^4*B*a^6*b^4*d^5-63/e^7/(e*x+d)^4*B*a^5*b^5*d^6+105/2/e^8/(e*x+d)^4*B*a^4*b^6*d^7-30/e^9/(e*x+d)^4*B*a^3*b^7*d^8+45/4/e^10/(e*x+d)^4*B*a^2*b^8*d^9-5/2/e^11/(e*x+d)^4*B*a*b^9*d^10-1260*b^5/e^6*ln(e*x+d)*A*a^5*d+3150*b^6/e^7*ln(e*x+d)*A*a^4*d^2-4200*b^7/e^8*ln(e*x+d)*A*a^3*d^3+3150*b^8/e^9*ln(e*x+d)*A*a^2*d^4-1260*b^9/e^10*ln(e*x+d)*A*a*d^5-1050*b^4/e^6*ln(e*x+d)*B*a^6*d+3780*b^5/e^7*ln(e*x+d)*B*a^5*d^2-7350*b^6/e^8*ln(e*x+d)*B*a^4*d^3+8400*b^7/e^9*ln(e*x+d)*B*a^3*d^4-5670*b^8/e^10*ln(e*x+d)*B*a^2*d^5+2100*b^9/e^11*ln(e*x+d)*B*a*d^6+180*b^3/e^4/(e*x+d)^2*A*a^7*d-630*b^4/e^5/(e*x+d)^2*A*a^6*d^2+1260*b^5/e^6/(e*x+d)^2*A*a^5*d^3-1575*b^6/e^7/(e*x+d)^2*A*a^4*d^4+1260*b^7/e^8/(e*x+d)^2*A*a^3*d^5-630*b^8/e^9/(e*x+d)^2*A*a^2*d^6+180*b^9/e^10/(e*x+d)^2*A*a*d^7+135/2*b^2/e^4/(e*x+d)^2*B*a^8*d-360*b^3/e^5/(e*x+d)^2*B*a^7*d^2+1050*b^4/e^6/(e*x+d)^2*B*a^6*d^3-1890*b^5/e^7/(e*x+d)^2*B*a^5*d^4+2205*b^6/e^8/(e*x+d)^2*B*a^4*d^5-1680*b^7/e^9/(e*x+d)^2*B*a^3*d^6+810*b^8/e^10/(e*x+d)^2*B*a^2*d^7-225*b^9/e^11/(e*x+d)^2*B*a*d^8+126*b^5/e^5*B*x^2*a^5-63*b^10/e^10*B*x^2*d^5+105*b^6/e^5*A*x^2*a^4+35*b^10/e^9*A*x^2*d^4+210*b^10/e^11*ln(e*x+d)*A*d^6+120*b^3/e^5*ln(e*x+d)*B*a^7-330*b^10/e^12*ln(e*x+d)*B*d^7-45/2*b^2/e^3/(e*x+d)^2*A*a^8-45/2*b^10/e^11/(e*x+d)^2*A*d^8-5*b/e^3/(e*x+d)^2*B*a^9+55/2*b^10/e^12/(e*x+d)^2*B*d^9+70*b^6/e^5*B*x^3*a^4+70/3*b^10/e^9*B*x^3*d^4-35/3*b^10/e^8*A*x^3*d^3+40*b^7/e^5*A*x^3*a^3+30*b^7/e^5*B*x^4*a^3-35/4*b^10/e^8*B*x^4*d^3+15/4*b^10/e^7*A*x^4*d^2+9*b^8/e^5*B*x^5*a^2+3*b^10/e^7*B*x^5*d^2+45/4*b^8/e^5*A*x^4*a^2-5/6*b^10/e^6*B*x^6*d+2*b^9/e^5*A*x^5*a-b^10/e^6*A*x^5*d+5/3*b^9/e^5*B*x^6*a-120*b^3/e^4/(e*x+d)*A*a^7+120*b^10/e^11/(e*x+d)*A*d^7-45*b^2/e^4/(e*x+d)*B*a^8-165*b^10/e^12/(e*x+d)*B*d^8-10/3/e^2/(e*x+d)^3*A*a^9*b+10/3/e^11/(e*x+d)^3*A*b^10*d^9+210*b^4/e^5*B*x*a^6+210*b^10/e^11*B*x*d^6","B"
1094,1,2731,433,0.038000," ","int((b*x+a)^10*(B*x+A)/(e*x+d)^6,x)","\text{Expression too large to display}"," ",0,"2520*b^7/e^8*B*a^3*d^2*x-2520*b^8/e^9*B*a^2*d^3*x+1260*b^9/e^10*B*a*d^4*x-15*b^9/e^7*B*x^4*a*d+1260*b^5/e^6/(e*x+d)*A*a^5*d-3150*b^6/e^7/(e*x+d)*A*a^4*d^2+4200*b^7/e^8/(e*x+d)*A*a^3*d^3-3150*b^8/e^9/(e*x+d)*A*a^2*d^4+1260*b^9/e^10/(e*x+d)*A*a*d^5+1050*b^4/e^6/(e*x+d)*B*a^6*d-3780*b^5/e^7/(e*x+d)*B*a^5*d^2+7350*b^6/e^8/(e*x+d)*B*a^4*d^3-8400*b^7/e^9/(e*x+d)*B*a^3*d^4+5670*b^8/e^10/(e*x+d)*B*a^2*d^5-2100*b^9/e^11/(e*x+d)*B*a*d^6+120*b^3/e^4/(e*x+d)^3*A*a^7*d-420*b^4/e^5/(e*x+d)^3*A*a^6*d^2+840*b^5/e^6/(e*x+d)^3*A*a^5*d^3-1050*b^6/e^7/(e*x+d)^3*A*a^4*d^4+840*b^7/e^8/(e*x+d)^3*A*a^3*d^5-420*b^8/e^9/(e*x+d)^3*A*a^2*d^6+120*b^9/e^10/(e*x+d)^3*A*a*d^7+45*b^2/e^4/(e*x+d)^3*B*a^8*d-240*b^3/e^5/(e*x+d)^3*B*a^7*d^2+700*b^4/e^6/(e*x+d)^3*B*a^6*d^3-1260*b^5/e^7/(e*x+d)^3*B*a^5*d^4+1470*b^6/e^8/(e*x+d)^3*B*a^4*d^5-1120*b^7/e^9/(e*x+d)^3*B*a^3*d^6+540*b^8/e^10/(e*x+d)^3*B*a^2*d^7-150*b^9/e^11/(e*x+d)^3*B*a*d^8+45/2/e^3/(e*x+d)^4*A*a^8*b^2*d-90/e^4/(e*x+d)^4*A*a^7*b^3*d^2+210/e^5/(e*x+d)^4*A*a^6*b^4*d^3-315/e^6/(e*x+d)^4*A*a^5*b^5*d^4+315/e^7/(e*x+d)^4*A*a^4*b^6*d^5-210/e^8/(e*x+d)^4*A*a^3*b^7*d^6-720*b^7/e^7*A*a^3*d*x+945/2*b^8/e^8*B*x^2*a^2*d^2-280*b^9/e^9*B*x^2*a*d^3+945*b^8/e^8*A*a^2*d^2*x-560*b^9/e^9*A*a*d^3*x-1260*b^6/e^7*B*a^4*d*x-1/5/e/(e*x+d)^5*a^10*A+1/6*b^10/e^6*B*x^6+1/5*b^10/e^6*A*x^5-1/4/e^2/(e*x+d)^4*B*a^10+90/e^9/(e*x+d)^4*A*a^2*b^8*d^7-45/2/e^10/(e*x+d)^4*A*a*b^9*d^8+5/e^3/(e*x+d)^4*B*a^9*b*d-135/4/e^4/(e*x+d)^4*B*a^8*b^2*d^2+120/e^5/(e*x+d)^4*B*a^7*b^3*d^3-525/2/e^6/(e*x+d)^4*B*a^6*b^4*d^4+378/e^7/(e*x+d)^4*B*a^5*b^5*d^5-735/2/e^8/(e*x+d)^4*B*a^4*b^6*d^6+240/e^9/(e*x+d)^4*B*a^3*b^7*d^7-405/4/e^10/(e*x+d)^4*B*a^2*b^8*d^8+25/e^11/(e*x+d)^4*B*a*b^9*d^9+2/e^2/(e*x+d)^5*A*d*a^9*b-9/e^3/(e*x+d)^5*A*d^2*a^8*b^2+24/e^4/(e*x+d)^5*A*d^3*a^7*b^3-42/e^5/(e*x+d)^5*A*d^4*a^6*b^4+252/5/e^6/(e*x+d)^5*A*d^5*a^5*b^5-42/e^7/(e*x+d)^5*A*a^4*b^6*d^6+24/e^8/(e*x+d)^5*A*a^3*b^7*d^7-9/e^9/(e*x+d)^5*A*a^2*b^8*d^8+2/e^10/(e*x+d)^5*A*a*b^9*d^9-2/e^3/(e*x+d)^5*B*d^2*a^9*b+9/e^4/(e*x+d)^5*B*d^3*a^8*b^2-24/e^5/(e*x+d)^5*B*d^4*a^7*b^3+42/e^6/(e*x+d)^5*B*d^5*a^6*b^4-252/5/e^7/(e*x+d)^5*B*a^5*b^5*d^6+42/e^8/(e*x+d)^5*B*a^4*b^6*d^7-24/e^9/(e*x+d)^5*B*a^3*b^7*d^8+9/e^10/(e*x+d)^5*B*a^2*b^8*d^9-2/e^11/(e*x+d)^5*B*a*b^9*d^10-1260*b^6/e^7*ln(e*x+d)*A*a^4*d+2520*b^7/e^8*ln(e*x+d)*A*a^3*d^2-2520*b^8/e^9*ln(e*x+d)*A*a^2*d^3+1260*b^9/e^10*ln(e*x+d)*A*a*d^4-1512*b^5/e^7*ln(e*x+d)*B*a^5*d+4410*b^6/e^8*ln(e*x+d)*B*a^4*d^2-6720*b^7/e^9*ln(e*x+d)*B*a^3*d^3+5670*b^8/e^10*ln(e*x+d)*B*a^2*d^4-2520*b^9/e^11*ln(e*x+d)*B*a*d^5+420*b^4/e^5/(e*x+d)^2*A*a^6*d-1260*b^5/e^6/(e*x+d)^2*A*a^5*d^2+2100*b^6/e^7/(e*x+d)^2*A*a^4*d^3-2100*b^7/e^8/(e*x+d)^2*A*a^3*d^4+1260*b^8/e^9/(e*x+d)^2*A*a^2*d^5-420*b^9/e^10/(e*x+d)^2*A*a*d^6+240*b^3/e^5/(e*x+d)^2*B*a^7*d-1050*b^4/e^6/(e*x+d)^2*B*a^6*d^2+2520*b^5/e^7/(e*x+d)^2*B*a^5*d^3-3675*b^6/e^8/(e*x+d)^2*B*a^4*d^4+3360*b^7/e^9/(e*x+d)^2*B*a^3*d^5-1890*b^8/e^10/(e*x+d)^2*B*a^2*d^6+600*b^9/e^11/(e*x+d)^2*B*a*d^7+70*b^9/e^8*B*x^3*a*d^2-135*b^8/e^7*A*x^2*a^2*d+105*b^9/e^8*A*x^2*a*d^2-360*b^7/e^7*B*x^2*a^3*d-20*b^9/e^7*A*x^3*a*d-90*b^8/e^7*B*x^3*a^2*d+252*b^5/e^6*B*a^5*x-252*b^10/e^11*B*d^5*x-28*b^10/e^9*A*x^2*d^3+105*b^6/e^6*B*x^2*a^4+63*b^10/e^10*B*x^2*d^4+210*b^6/e^6*A*a^4*x+126*b^10/e^10*A*d^4*x-3/2*b^10/e^7*A*x^4*d+45/4*b^8/e^6*B*x^4*a^2+21/4*b^10/e^8*B*x^4*d^2-210*b^4/e^5/(e*x+d)*A*a^6-210*b^10/e^11/(e*x+d)*A*d^6-120*b^3/e^5/(e*x+d)*B*a^7+330*b^10/e^12/(e*x+d)*B*d^7-15*b^2/e^3/(e*x+d)^3*A*a^8-15*b^10/e^11/(e*x+d)^3*A*d^8-10/3*b/e^3/(e*x+d)^3*B*a^9+55/3*b^10/e^12/(e*x+d)^3*B*d^9-5/2/e^2/(e*x+d)^4*A*a^9*b+5/2/e^11/(e*x+d)^4*A*b^10*d^9-11/4/e^12/(e*x+d)^4*b^10*B*d^10-1/5/e^11/(e*x+d)^5*A*b^10*d^10+1/5/e^2/(e*x+d)^5*B*d*a^10+1/5/e^12/(e*x+d)^5*b^10*B*d^11+252*b^5/e^6*ln(e*x+d)*A*a^5-252*b^10/e^11*ln(e*x+d)*A*d^5+210*b^4/e^6*ln(e*x+d)*B*a^6+462*b^10/e^12*ln(e*x+d)*B*d^6-60*b^3/e^4/(e*x+d)^2*A*a^7+60*b^10/e^11/(e*x+d)^2*A*d^7-45/2*b^2/e^4/(e*x+d)^2*B*a^8-165/2*b^10/e^12/(e*x+d)^2*B*d^8+7*b^10/e^8*A*x^3*d^2+15*b^8/e^6*A*x^3*a^2+40*b^7/e^6*B*x^3*a^3-56/3*b^10/e^9*B*x^3*d^3+60*b^7/e^6*A*x^2*a^3-6/5*b^10/e^7*B*x^5*d+5/2*b^9/e^6*A*x^4*a+2*b^9/e^6*B*x^5*a","B"
1095,1,2781,433,0.040000," ","int((b*x+a)^10*(B*x+A)/(e*x+d)^7,x)","\text{Expression too large to display}"," ",0,"1/5*b^10/e^7*B*x^5+1/4*b^10/e^7*A*x^4-1/5/e^2/(e*x+d)^5*B*a^10-1/6/e/(e*x+d)^6*a^10*A+630*b^5/e^6/(e*x+d)^4*A*a^5*d^3-1575/2*b^6/e^7/(e*x+d)^4*A*a^4*d^4+630*b^7/e^8/(e*x+d)^4*A*a^3*d^5-315*b^8/e^9/(e*x+d)^4*A*a^2*d^6+90*b^9/e^10/(e*x+d)^4*A*a*d^7+135/4*b^2/e^4/(e*x+d)^4*B*a^8*d-180*b^3/e^5/(e*x+d)^4*B*a^7*d^2+525*b^4/e^6/(e*x+d)^4*B*a^6*d^3-1575*b^8/e^9/(e*x+d)^2*A*a^2*d^4+630*b^9/e^10/(e*x+d)^2*A*a*d^5+525*b^4/e^6/(e*x+d)^2*B*a^6*d-1890*b^5/e^7/(e*x+d)^2*B*a^5*d^2+3675*b^6/e^8/(e*x+d)^2*B*a^4*d^3-4200*b^7/e^9/(e*x+d)^2*B*a^3*d^4+2835*b^8/e^10/(e*x+d)^2*B*a^2*d^5-1050*b^9/e^11/(e*x+d)^2*B*a*d^6+5/3/e^2/(e*x+d)^6*A*d*a^9*b-15/2/e^3/(e*x+d)^6*A*d^2*a^8*b^2+20/e^4/(e*x+d)^6*A*d^3*a^7*b^3-35/e^5/(e*x+d)^6*A*d^4*a^6*b^4+42/e^6/(e*x+d)^6*A*d^5*a^5*b^5+210*b^10/e^11*B*d^4*x-42*b^10/e^10*B*x^2*d^3-35/e^7/(e*x+d)^6*A*d^6*a^4*b^6+20/e^8/(e*x+d)^6*A*a^3*b^7*d^7-15/2/e^9/(e*x+d)^6*A*a^2*b^8*d^8+5/3/e^10/(e*x+d)^6*A*a*b^9*d^9-5/3/e^3/(e*x+d)^6*B*d^2*a^9*b+15/2/e^4/(e*x+d)^6*B*d^3*a^8*b^2-20/e^5/(e*x+d)^6*B*d^4*a^7*b^3+35/e^6/(e*x+d)^6*B*d^5*a^6*b^4-42/e^7/(e*x+d)^6*B*d^6*a^5*b^5+35/e^8/(e*x+d)^6*B*a^4*b^6*d^7-20/e^9/(e*x+d)^6*B*a^3*b^7*d^8+15/2/e^10/(e*x+d)^6*B*a^2*b^8*d^9-5/3/e^11/(e*x+d)^6*B*a*b^9*d^10-945*b^5/e^7/(e*x+d)^4*B*a^5*d^4+2205/2*b^6/e^8/(e*x+d)^4*B*a^4*d^5-840*b^7/e^9/(e*x+d)^4*B*a^3*d^6+405*b^8/e^10/(e*x+d)^4*B*a^2*d^7-225/2*b^9/e^11/(e*x+d)^4*B*a*d^8+18/e^3/(e*x+d)^5*A*a^8*b^2*d-72/e^4/(e*x+d)^5*A*a^7*b^3*d^2+168/e^5/(e*x+d)^5*A*a^6*b^4*d^3-252/e^6/(e*x+d)^5*A*a^5*b^5*d^4+252/e^7/(e*x+d)^5*A*a^4*b^6*d^5-168/e^8/(e*x+d)^5*A*a^3*b^7*d^6+72/e^9/(e*x+d)^5*A*a^2*b^8*d^7-18/e^10/(e*x+d)^5*A*a*b^9*d^8+4/e^3/(e*x+d)^5*B*a^9*b*d-27/e^4/(e*x+d)^5*B*a^8*b^2*d^2+96/e^5/(e*x+d)^5*B*a^7*b^3*d^3-210/e^6/(e*x+d)^5*B*a^6*b^4*d^4+1512/5/e^7/(e*x+d)^5*B*a^5*b^5*d^5-294/e^8/(e*x+d)^5*B*a^4*b^6*d^6+192/e^9/(e*x+d)^5*B*a^3*b^7*d^7-81/e^10/(e*x+d)^5*B*a^2*b^8*d^8+20/e^11/(e*x+d)^5*B*a*b^9*d^9-840*b^7/e^8*ln(e*x+d)*A*a^3*d+1260*b^8/e^9*ln(e*x+d)*A*a^2*d^2-840*b^9/e^10*ln(e*x+d)*A*a*d^3-1470*b^6/e^8*ln(e*x+d)*B*a^4*d+3360*b^7/e^9*ln(e*x+d)*B*a^3*d^2-3780*b^8/e^10*ln(e*x+d)*B*a^2*d^3+2100*b^9/e^11*ln(e*x+d)*B*a*d^4+630*b^5/e^6/(e*x+d)^2*A*a^5*d-1575*b^6/e^7/(e*x+d)^2*A*a^4*d^2+2100*b^7/e^8/(e*x+d)^2*A*a^3*d^3-35*b^9/e^8*A*x^2*a*d-315/2*b^8/e^8*B*x^2*a^2*d-70/3*b^9/e^8*B*x^3*a*d+280*b^9/e^9*A*a*d^2*x-840*b^7/e^8*B*a^3*d*x+1260*b^8/e^9*B*a^2*d^2*x-840*b^9/e^10*B*a*d^3*x+140*b^9/e^9*B*x^2*a*d^2-315*b^8/e^8*A*a^2*d*x+1260*b^6/e^7/(e*x+d)*A*a^4*d-2520*b^7/e^8/(e*x+d)*A*a^3*d^2+2520*b^8/e^9/(e*x+d)*A*a^2*d^3-1260*b^9/e^10/(e*x+d)*A*a*d^4+1512*b^5/e^7/(e*x+d)*B*a^5*d-4410*b^6/e^8/(e*x+d)*B*a^4*d^2+6720*b^7/e^9/(e*x+d)*B*a^3*d^3-5670*b^8/e^10/(e*x+d)*B*a^2*d^4+2520*b^9/e^11/(e*x+d)*B*a*d^5+280*b^4/e^5/(e*x+d)^3*A*a^6*d-840*b^5/e^6/(e*x+d)^3*A*a^5*d^2+1400*b^6/e^7/(e*x+d)^3*A*a^4*d^3-1400*b^7/e^8/(e*x+d)^3*A*a^3*d^4+840*b^8/e^9/(e*x+d)^3*A*a^2*d^5-280*b^9/e^10/(e*x+d)^3*A*a*d^6+160*b^3/e^5/(e*x+d)^3*B*a^7*d-700*b^4/e^6/(e*x+d)^3*B*a^6*d^2+1680*b^5/e^7/(e*x+d)^3*B*a^5*d^3-2450*b^6/e^8/(e*x+d)^3*B*a^4*d^4+2240*b^7/e^9/(e*x+d)^3*B*a^3*d^5-1260*b^8/e^10/(e*x+d)^3*B*a^2*d^6+400*b^9/e^11/(e*x+d)^3*B*a*d^7+90*b^3/e^4/(e*x+d)^4*A*a^7*d-315*b^4/e^5/(e*x+d)^4*A*a^6*d^2+120*b^7/e^7*A*a^3*x-84*b^10/e^10*A*d^3*x+45/2*b^8/e^7*A*x^2*a^2+14*b^10/e^9*A*x^2*d^2+60*b^7/e^7*B*x^2*a^3+10/3*b^9/e^7*A*x^3*a-7/3*b^10/e^8*A*x^3*d+15*b^8/e^7*B*x^3*a^2+28/3*b^10/e^9*B*x^3*d^2-252*b^5/e^6/(e*x+d)*A*a^5+252*b^10/e^11/(e*x+d)*A*d^5-210*b^4/e^6/(e*x+d)*B*a^6-462*b^10/e^12/(e*x+d)*B*d^6-40*b^3/e^4/(e*x+d)^3*A*a^7+40*b^10/e^11/(e*x+d)^3*A*d^7-15*b^2/e^4/(e*x+d)^3*B*a^8-55*b^10/e^12/(e*x+d)^3*B*d^8+5/2*b^9/e^7*B*x^4*a-7/4*b^10/e^8*B*x^4*d+210*b^6/e^7*B*a^4*x-45/4*b^2/e^3/(e*x+d)^4*A*a^8-45/4*b^10/e^11/(e*x+d)^4*A*d^8-5/2*b/e^3/(e*x+d)^4*B*a^9+55/4*b^10/e^12/(e*x+d)^4*B*d^9-2/e^2/(e*x+d)^5*A*a^9*b+2/e^11/(e*x+d)^5*A*b^10*d^9-11/5/e^12/(e*x+d)^5*b^10*B*d^10+210*b^6/e^7*ln(e*x+d)*A*a^4+210*b^10/e^11*ln(e*x+d)*A*d^4+252*b^5/e^7*ln(e*x+d)*B*a^5-462*b^10/e^12*ln(e*x+d)*B*d^5-105*b^4/e^5/(e*x+d)^2*A*a^6-105*b^10/e^11/(e*x+d)^2*A*d^6-60*b^3/e^5/(e*x+d)^2*B*a^7+165*b^10/e^12/(e*x+d)^2*B*d^7-1/6/e^11/(e*x+d)^6*A*b^10*d^10+1/6/e^2/(e*x+d)^6*B*d*a^10+1/6/e^12/(e*x+d)^6*b^10*B*d^11","B"
1096,1,2823,432,0.034000," ","int((b*x+a)^10*(B*x+A)/(e*x+d)^8,x)","\text{output too large to display}"," ",0,"-15/e^10/(e*x+d)^6*A*a*b^9*d^8+10/3/e^3/(e*x+d)^6*B*a^9*b*d-45/2/e^4/(e*x+d)^6*B*a^8*b^2*d^2+80/e^5/(e*x+d)^6*B*a^7*b^3*d^3-175/e^6/(e*x+d)^6*B*a^6*b^4*d^4+252/e^7/(e*x+d)^6*B*a^5*b^5*d^5-245/e^8/(e*x+d)^6*B*a^4*b^6*d^6+160/e^9/(e*x+d)^6*B*a^3*b^7*d^7-135/2/e^10/(e*x+d)^6*B*a^2*b^8*d^8+50/3/e^11/(e*x+d)^6*B*a*b^9*d^9+10/7/e^2/(e*x+d)^7*A*d*a^9*b-210*b^9/e^10/(e*x+d)^4*A*a*d^6+120*b^3/e^5/(e*x+d)^4*B*a^7*d-525*b^4/e^6/(e*x+d)^4*B*a^6*d^2+1260*b^5/e^7/(e*x+d)^4*B*a^5*d^3-3675/2*b^6/e^8/(e*x+d)^4*B*a^4*d^4+1680*b^7/e^9/(e*x+d)^4*B*a^3*d^5-945*b^8/e^10/(e*x+d)^4*B*a^2*d^6+300*b^9/e^11/(e*x+d)^4*B*a*d^7+72*b^3/e^4/(e*x+d)^5*A*a^7*d-252*b^4/e^5/(e*x+d)^5*A*a^6*d^2-1/6/e^2/(e*x+d)^6*B*a^10-1/7/e/(e*x+d)^7*a^10*A+1/4*b^10/e^8*B*x^4+1/3*b^10/e^8*A*x^3+756*b^5/e^7/(e*x+d)^2*B*a^5*d-2205*b^6/e^8/(e*x+d)^2*B*a^4*d^2+3360*b^7/e^9/(e*x+d)^2*B*a^3*d^3-2835*b^8/e^10/(e*x+d)^2*B*a^2*d^4+1260*b^9/e^11/(e*x+d)^2*B*a*d^5+15/e^3/(e*x+d)^6*A*a^8*b^2*d-60/e^4/(e*x+d)^6*A*a^7*b^3*d^2+140/e^5/(e*x+d)^6*A*a^6*b^4*d^3-210/e^6/(e*x+d)^6*A*a^5*b^5*d^4+210/e^7/(e*x+d)^6*A*a^4*b^6*d^5-140/e^8/(e*x+d)^6*A*a^3*b^7*d^6+60/e^9/(e*x+d)^6*A*a^2*b^8*d^7-40*b^9/e^9*B*x^2*a*d-80*b^9/e^9*A*x*a*d-360*b^8/e^9*B*x*a^2*d+360*b^9/e^10*B*x*a*d^2+840*b^7/e^8/(e*x+d)*A*a^3*d-1260*b^8/e^9/(e*x+d)*A*a^2*d^2+840*b^9/e^10/(e*x+d)*A*a*d^3+1470*b^6/e^8/(e*x+d)*B*a^4*d-3360*b^7/e^9/(e*x+d)*B*a^3*d^2+3780*b^8/e^10/(e*x+d)*B*a^2*d^3-2100*b^9/e^11/(e*x+d)*B*a*d^4+420*b^5/e^6/(e*x+d)^3*A*a^5*d-1050*b^6/e^7/(e*x+d)^3*A*a^4*d^2+1400*b^7/e^8/(e*x+d)^3*A*a^3*d^3-1050*b^8/e^9/(e*x+d)^3*A*a^2*d^4+420*b^9/e^10/(e*x+d)^3*A*a*d^5+350*b^4/e^6/(e*x+d)^3*B*a^6*d-1260*b^5/e^7/(e*x+d)^3*B*a^5*d^2+2450*b^6/e^8/(e*x+d)^3*B*a^4*d^3-2800*b^7/e^9/(e*x+d)^3*B*a^3*d^4+1890*b^8/e^10/(e*x+d)^3*B*a^2*d^5-700*b^9/e^11/(e*x+d)^3*B*a*d^6+210*b^4/e^5/(e*x+d)^4*A*a^6*d-630*b^5/e^6/(e*x+d)^4*A*a^5*d^2+1050*b^6/e^7/(e*x+d)^4*A*a^4*d^3-1050*b^7/e^8/(e*x+d)^4*A*a^3*d^4+630*b^8/e^9/(e*x+d)^4*A*a^2*d^5+36*b^10/e^10*A*x*d^2+120*b^7/e^8*B*x*a^3-120*b^10/e^11*B*x*d^3-210*b^6/e^7/(e*x+d)*A*a^4-210*b^10/e^11/(e*x+d)*A*d^4-252*b^5/e^7/(e*x+d)*B*a^5+462*b^10/e^12/(e*x+d)*B*d^5-70*b^4/e^5/(e*x+d)^3*A*a^6-70*b^10/e^11/(e*x+d)^3*A*d^6-40*b^3/e^5/(e*x+d)^3*B*a^7+110*b^10/e^12/(e*x+d)^3*B*d^7+10/3*b^9/e^8*B*x^3*a-8/3*b^10/e^9*B*x^3*d-5/3/e^2/(e*x+d)^6*A*a^9*b+5/3/e^11/(e*x+d)^6*A*b^10*d^9-11/6/e^12/(e*x+d)^6*b^10*B*d^10-1/7/e^11/(e*x+d)^7*A*b^10*d^10+1/7/e^2/(e*x+d)^7*B*d*a^10+1/7/e^12/(e*x+d)^7*b^10*B*d^11-45/7/e^3/(e*x+d)^7*A*d^2*a^8*b^2+120/7/e^4/(e*x+d)^7*A*d^3*a^7*b^3-30/e^5/(e*x+d)^7*A*d^4*a^6*b^4+36/e^6/(e*x+d)^7*A*d^5*a^5*b^5-30/e^7/(e*x+d)^7*A*d^6*a^4*b^6+120/7/e^8/(e*x+d)^7*A*d^7*a^3*b^7-45/7/e^9/(e*x+d)^7*A*a^2*b^8*d^8+10/7/e^10/(e*x+d)^7*A*a*b^9*d^9-10/7/e^3/(e*x+d)^7*B*d^2*a^9*b+45/7/e^4/(e*x+d)^7*B*d^3*a^8*b^2-120/7/e^5/(e*x+d)^7*B*d^4*a^7*b^3+30/e^6/(e*x+d)^7*B*d^5*a^6*b^4-36/e^7/(e*x+d)^7*B*d^6*a^5*b^5+30/e^8/(e*x+d)^7*B*d^7*a^4*b^6-120/7/e^9/(e*x+d)^7*B*a^3*b^7*d^8+45/7/e^10/(e*x+d)^7*B*a^2*b^8*d^9-10/7/e^11/(e*x+d)^7*B*a*b^9*d^10+504*b^5/e^6/(e*x+d)^5*A*a^5*d^3-630*b^6/e^7/(e*x+d)^5*A*a^4*d^4+504*b^7/e^8/(e*x+d)^5*A*a^3*d^5-252*b^8/e^9/(e*x+d)^5*A*a^2*d^6+72*b^9/e^10/(e*x+d)^5*A*a*d^7+27*b^2/e^4/(e*x+d)^5*B*a^8*d-144*b^3/e^5/(e*x+d)^5*B*a^7*d^2+420*b^4/e^6/(e*x+d)^5*B*a^6*d^3-756*b^5/e^7/(e*x+d)^5*B*a^5*d^4+882*b^6/e^8/(e*x+d)^5*B*a^4*d^5-672*b^7/e^9/(e*x+d)^5*B*a^3*d^6+324*b^8/e^10/(e*x+d)^5*B*a^2*d^7-90*b^9/e^11/(e*x+d)^5*B*a*d^8-360*b^8/e^9*ln(e*x+d)*A*a^2*d+360*b^9/e^10*ln(e*x+d)*A*a*d^2-960*b^7/e^9*ln(e*x+d)*B*a^3*d+1620*b^8/e^10*ln(e*x+d)*B*a^2*d^2-1200*b^9/e^11*ln(e*x+d)*B*a*d^3+630*b^6/e^7/(e*x+d)^2*A*a^4*d-1260*b^7/e^8/(e*x+d)^2*A*a^3*d^2+1260*b^8/e^9/(e*x+d)^2*A*a^2*d^3-630*b^9/e^10/(e*x+d)^2*A*a*d^4+5*b^9/e^8*A*x^2*a-4*b^10/e^9*A*x^2*d-9*b^10/e^11/(e*x+d)^5*A*d^8-2*b/e^3/(e*x+d)^5*B*a^9+11*b^10/e^12/(e*x+d)^5*B*d^9+18*b^10/e^10*B*x^2*d^2+45*b^8/e^8*A*x*a^2+45/2*b^8/e^8*B*x^2*a^2+120*b^7/e^8*ln(e*x+d)*A*a^3-120*b^10/e^11*ln(e*x+d)*A*d^3+210*b^6/e^8*ln(e*x+d)*B*a^4+330*b^10/e^12*ln(e*x+d)*B*d^4-126*b^5/e^6/(e*x+d)^2*A*a^5+126*b^10/e^11/(e*x+d)^2*A*d^5-105*b^4/e^6/(e*x+d)^2*B*a^6-231*b^10/e^12/(e*x+d)^2*B*d^6-30*b^3/e^4/(e*x+d)^4*A*a^7+30*b^10/e^11/(e*x+d)^4*A*d^7-45/4*b^2/e^4/(e*x+d)^4*B*a^8-165/4*b^10/e^12/(e*x+d)^4*B*d^8-9*b^2/e^3/(e*x+d)^5*A*a^8","B"
1097,1,2857,433,0.033000," ","int((b*x+a)^10*(B*x+A)/(e*x+d)^9,x)","\text{output too large to display}"," ",0,"120/e^5/(e*x+d)^7*A*a^6*b^4*d^3-180/e^6/(e*x+d)^7*A*a^5*b^5*d^4+180/e^7/(e*x+d)^7*A*a^4*b^6*d^5-120/e^8/(e*x+d)^7*A*a^3*b^7*d^6+360/7/e^9/(e*x+d)^7*A*a^2*b^8*d^7-90/7/e^10/(e*x+d)^7*A*a*b^9*d^8+20/7/e^3/(e*x+d)^7*B*a^9*b*d-135/7/e^4/(e*x+d)^7*B*a^8*b^2*d^2+216/e^7/(e*x+d)^7*B*a^5*b^5*d^5-210/e^8/(e*x+d)^7*B*a^4*b^6*d^6+960/7/e^9/(e*x+d)^7*B*a^3*b^7*d^7-405/7/e^10/(e*x+d)^7*B*a^2*b^8*d^8+100/7/e^11/(e*x+d)^7*B*a*b^9*d^9+735*b^6/e^8/(e*x+d)^2*B*a^4*d-90*b^9/e^10*ln(e*x+d)*A*a*d-405*b^8/e^10*ln(e*x+d)*B*a^2*d+450*b^9/e^11*ln(e*x+d)*B*a*d^2+420*b^7/e^8/(e*x+d)^2*A*a^3*d-630*b^8/e^9/(e*x+d)^2*A*a^2*d^2+420*b^9/e^10/(e*x+d)^2*A*a*d^3-1620*b^8/e^10/(e*x+d)*B*a^2*d^2+1200*b^9/e^11/(e*x+d)*B*a*d^3+420*b^6/e^7/(e*x+d)^3*A*a^4*d-840*b^7/e^8/(e*x+d)^3*A*a^3*d^2+840*b^8/e^9/(e*x+d)^3*A*a^2*d^3-420*b^9/e^10/(e*x+d)^3*A*a*d^4+504*b^5/e^7/(e*x+d)^3*B*a^5*d-1470*b^6/e^8/(e*x+d)^3*B*a^4*d^2+2240*b^7/e^9/(e*x+d)^3*B*a^3*d^3-1890*b^8/e^10/(e*x+d)^3*B*a^2*d^4+840*b^9/e^11/(e*x+d)^3*B*a*d^5+315*b^5/e^6/(e*x+d)^4*A*a^5*d-1575/2*b^6/e^7/(e*x+d)^4*A*a^4*d^2+1050*b^7/e^8/(e*x+d)^4*A*a^3*d^3-1575/2*b^8/e^9/(e*x+d)^4*A*a^2*d^4+315*b^9/e^10/(e*x+d)^4*A*a*d^5+525/2*b^4/e^6/(e*x+d)^4*B*a^6*d-945*b^5/e^7/(e*x+d)^4*B*a^5*d^2+3675/2*b^6/e^8/(e*x+d)^4*B*a^4*d^3+15/e^8/(e*x+d)^8*A*d^7*a^3*b^7-45/8/e^9/(e*x+d)^8*A*d^8*a^2*b^8+5/4/e^10/(e*x+d)^8*A*a*b^9*d^9-5/4/e^3/(e*x+d)^8*B*d^2*a^9*b+45/8/e^4/(e*x+d)^8*B*d^3*a^8*b^2-15/e^5/(e*x+d)^8*B*d^4*a^7*b^3+105/4/e^6/(e*x+d)^8*B*d^5*a^6*b^4-63/2/e^7/(e*x+d)^8*B*d^6*a^5*b^5+105/4/e^8/(e*x+d)^8*B*d^7*a^4*b^6-15/e^9/(e*x+d)^8*B*d^8*a^3*b^7+45/8/e^10/(e*x+d)^8*B*a^2*b^8*d^9-5/4/e^11/(e*x+d)^8*B*a*b^9*d^10+60*b^3/e^4/(e*x+d)^6*A*a^7*d-210*b^4/e^5/(e*x+d)^6*A*a^6*d^2+420*b^5/e^6/(e*x+d)^6*A*a^5*d^3-525*b^6/e^7/(e*x+d)^6*A*a^4*d^4+420*b^7/e^8/(e*x+d)^6*A*a^3*d^5-210*b^8/e^9/(e*x+d)^6*A*a^2*d^6+60*b^9/e^10/(e*x+d)^6*A*a*d^7+45/2*b^2/e^4/(e*x+d)^6*B*a^8*d-120*b^3/e^5/(e*x+d)^6*B*a^7*d^2+350*b^4/e^6/(e*x+d)^6*B*a^6*d^3-630*b^5/e^7/(e*x+d)^6*B*a^5*d^4+735*b^6/e^8/(e*x+d)^6*B*a^4*d^5-560*b^7/e^9/(e*x+d)^6*B*a^3*d^6+270*b^8/e^10/(e*x+d)^6*B*a^2*d^7-75*b^9/e^11/(e*x+d)^6*B*a*d^8+90/7/e^3/(e*x+d)^7*A*a^8*b^2*d-360/7/e^4/(e*x+d)^7*A*a^7*b^3*d^2-1/8/e/(e*x+d)^8*a^10*A-1/7/e^2/(e*x+d)^7*B*a^10+1/3*b^10/e^9*B*x^3+1/2*b^10/e^9*A*x^2-5/3*b/e^3/(e*x+d)^6*B*a^9-126*b^5/e^7/(e*x+d)^2*B*a^5+231*b^10/e^12/(e*x+d)^2*B*d^5-1/8/e^11/(e*x+d)^8*A*b^10*d^10+1/8/e^2/(e*x+d)^8*B*d*a^10+1/8/e^12/(e*x+d)^8*b^10*B*d^11-154*b^10/e^12/(e*x+d)^3*B*d^6-105/2*b^4/e^5/(e*x+d)^4*A*a^6-105/2*b^10/e^11/(e*x+d)^4*A*d^6-30*b^3/e^5/(e*x+d)^4*B*a^7+165/2*b^10/e^12/(e*x+d)^4*B*d^7-24*b^3/e^4/(e*x+d)^5*A*a^7+24*b^10/e^11/(e*x+d)^5*A*d^7-9*b^2/e^4/(e*x+d)^5*B*a^8-33*b^10/e^12/(e*x+d)^5*B*d^8-70*b^4/e^6/(e*x+d)^3*B*a^6+45*b^8/e^9*ln(e*x+d)*A*a^2+45*b^10/e^11*ln(e*x+d)*A*d^2+120*b^7/e^9*ln(e*x+d)*B*a^3-165*b^10/e^12*ln(e*x+d)*B*d^3-105*b^6/e^7/(e*x+d)^2*A*a^4-105*b^10/e^11/(e*x+d)^2*A*d^4+55/6*b^10/e^12/(e*x+d)^6*B*d^9-10/7/e^2/(e*x+d)^7*A*a^9*b+10/7/e^11/(e*x+d)^7*A*b^10*d^9-11/7/e^12/(e*x+d)^7*b^10*B*d^10+5*b^9/e^9*B*x^2*a-9/2*b^10/e^10*B*x^2*d+10*b^9/e^9*A*x*a-9*b^10/e^10*A*x*d+45*b^8/e^9*B*x*a^2+45*b^10/e^11*B*x*d^2-120*b^7/e^8/(e*x+d)*A*a^3+120*b^10/e^11/(e*x+d)*A*d^3-210*b^6/e^8/(e*x+d)*B*a^4-330*b^10/e^12/(e*x+d)*B*d^4-84*b^5/e^6/(e*x+d)^3*A*a^5+84*b^10/e^11/(e*x+d)^3*A*d^5-2100*b^7/e^9/(e*x+d)^4*B*a^3*d^4+2835/2*b^8/e^10/(e*x+d)^4*B*a^2*d^5-525*b^9/e^11/(e*x+d)^4*B*a*d^6+168*b^4/e^5/(e*x+d)^5*A*a^6*d-504*b^5/e^6/(e*x+d)^5*A*a^5*d^2+840*b^6/e^7/(e*x+d)^5*A*a^4*d^3-840*b^7/e^8/(e*x+d)^5*A*a^3*d^4+504*b^8/e^9/(e*x+d)^5*A*a^2*d^5-168*b^9/e^10/(e*x+d)^5*A*a*d^6+96*b^3/e^5/(e*x+d)^5*B*a^7*d-420*b^4/e^6/(e*x+d)^5*B*a^6*d^2+1008*b^5/e^7/(e*x+d)^5*B*a^5*d^3-1470*b^6/e^8/(e*x+d)^5*B*a^4*d^4+1344*b^7/e^9/(e*x+d)^5*B*a^3*d^5-756*b^8/e^10/(e*x+d)^5*B*a^2*d^6+240*b^9/e^11/(e*x+d)^5*B*a*d^7-90*b^9/e^10*B*x*a*d+360*b^8/e^9/(e*x+d)*A*a^2*d-360*b^9/e^10/(e*x+d)*A*a*d^2+960*b^7/e^9/(e*x+d)*B*a^3*d-1680*b^7/e^9/(e*x+d)^2*B*a^3*d^2+1890*b^8/e^10/(e*x+d)^2*B*a^2*d^3-1050*b^9/e^11/(e*x+d)^2*B*a*d^4+5/4/e^2/(e*x+d)^8*A*d*a^9*b-45/8/e^3/(e*x+d)^8*A*d^2*a^8*b^2+15/e^4/(e*x+d)^8*A*d^3*a^7*b^3-105/4/e^5/(e*x+d)^8*A*d^4*a^6*b^4+63/2/e^6/(e*x+d)^8*A*d^5*a^5*b^5-105/4/e^7/(e*x+d)^8*A*d^6*a^4*b^6+480/7/e^5/(e*x+d)^7*B*a^7*b^3*d^3-150/e^6/(e*x+d)^7*B*a^6*b^4*d^4-15/2*b^10/e^11/(e*x+d)^6*A*d^8-15/2*b^2/e^3/(e*x+d)^6*A*a^8","B"
1098,1,2882,429,0.028000," ","int((b*x+a)^10*(B*x+A)/(e*x+d)^10,x)","\text{output too large to display}"," ",0,"300*b^4/e^6/(e*x+d)^7*B*a^6*d^3-540*b^5/e^7/(e*x+d)^7*B*a^5*d^4+630*b^6/e^8/(e*x+d)^7*B*a^4*d^5-480*b^7/e^9/(e*x+d)^7*B*a^3*d^6+1620/7*b^8/e^10/(e*x+d)^7*B*a^2*d^7-450/7*b^9/e^11/(e*x+d)^7*B*a*d^8+1134*b^8/e^10/(e*x+d)^5*B*a^2*d^5-420*b^9/e^11/(e*x+d)^5*B*a*d^6-100*b^9/e^11*ln(e*x+d)*B*a*d+180*b^8/e^9/(e*x+d)^2*A*a^2*d+1/9/e^2/(e*x+d)^9*B*d*a^10+1/9/e^12/(e*x+d)^9*b^10*B*d^11-20*b^3/e^4/(e*x+d)^6*A*a^7+20*b^10/e^11/(e*x+d)^6*A*d^7-15/2*b^2/e^4/(e*x+d)^6*B*a^8-55/2*b^10/e^12/(e*x+d)^6*B*d^8+10*b^9/e^10*B*x*a-10*b^10/e^11*B*x*d-10/7*b/e^3/(e*x+d)^7*B*a^9+55/7*b^10/e^12/(e*x+d)^7*B*d^9-42*b^4/e^5/(e*x+d)^5*A*a^6-42*b^10/e^11/(e*x+d)^5*A*d^6-24*b^3/e^5/(e*x+d)^5*B*a^7+66*b^10/e^12/(e*x+d)^5*B*d^7+10*b^9/e^10*ln(e*x+d)*A*a-10*b^10/e^11*ln(e*x+d)*A*d+45*b^8/e^10*ln(e*x+d)*B*a^2+55*b^10/e^12*ln(e*x+d)*B*d^2-60*b^7/e^8/(e*x+d)^2*A*a^3+60*b^10/e^11/(e*x+d)^2*A*d^3-105*b^6/e^8/(e*x+d)^2*B*a^4-165*b^10/e^12/(e*x+d)^2*B*d^4+b^10/e^10*A*x-1/8/e^2/(e*x+d)^8*B*a^10-1/9/e/(e*x+d)^9*a^10*A-45*b^8/e^9/(e*x+d)*A*a^2-45*b^10/e^11/(e*x+d)*A*d^2-120*b^7/e^9/(e*x+d)*B*a^3+165*b^10/e^12/(e*x+d)*B*d^3-70*b^6/e^7/(e*x+d)^3*A*a^4-70*b^10/e^11/(e*x+d)^3*A*d^4-84*b^5/e^7/(e*x+d)^3*B*a^5+154*b^10/e^12/(e*x+d)^3*B*d^5-63*b^5/e^6/(e*x+d)^4*A*a^5+63*b^10/e^11/(e*x+d)^4*A*d^5-105/2*b^4/e^6/(e*x+d)^4*B*a^6-231/2*b^10/e^12/(e*x+d)^4*B*d^6-5/4/e^2/(e*x+d)^8*A*a^9*b+5/4/e^11/(e*x+d)^8*A*b^10*d^9-11/8/e^12/(e*x+d)^8*b^10*B*d^10+5/2/e^3/(e*x+d)^8*B*a^9*b*d+1/2*b^10*B*x^2/e^10+45/e^9/(e*x+d)^8*A*a^2*b^8*d^7-45/4/e^10/(e*x+d)^8*A*a*b^9*d^8-1/9/e^11/(e*x+d)^9*A*b^10*d^10-180*b^9/e^10/(e*x+d)^2*A*a*d^2+480*b^7/e^9/(e*x+d)^2*B*a^3*d-810*b^8/e^10/(e*x+d)^2*B*a^2*d^2+600*b^9/e^11/(e*x+d)^2*B*a*d^3+45/4/e^3/(e*x+d)^8*A*a^8*b^2*d-45/e^4/(e*x+d)^8*A*a^7*b^3*d^2+105/e^5/(e*x+d)^8*A*a^6*b^4*d^3-315/2/e^6/(e*x+d)^8*A*a^5*b^5*d^4+315/2/e^7/(e*x+d)^8*A*a^4*b^6*d^5-105/e^8/(e*x+d)^8*A*a^3*b^7*d^6+1120*b^7/e^9/(e*x+d)^6*B*a^3*d^5-630*b^8/e^10/(e*x+d)^6*B*a^2*d^6+200*b^9/e^11/(e*x+d)^6*B*a*d^7+360/7*b^3/e^4/(e*x+d)^7*A*a^7*d-180*b^4/e^5/(e*x+d)^7*A*a^6*d^2+360*b^5/e^6/(e*x+d)^7*A*a^5*d^3-450*b^6/e^7/(e*x+d)^7*A*a^4*d^4+360*b^7/e^8/(e*x+d)^7*A*a^3*d^5-180*b^8/e^9/(e*x+d)^7*A*a^2*d^6+360/7*b^9/e^10/(e*x+d)^7*A*a*d^7+135/7*b^2/e^4/(e*x+d)^7*B*a^8*d-720/7*b^3/e^5/(e*x+d)^7*B*a^7*d^2+10/9/e^2/(e*x+d)^9*A*d*a^9*b-5/e^3/(e*x+d)^9*A*d^2*a^8*b^2+40/3/e^4/(e*x+d)^9*A*d^3*a^7*b^3-70/3/e^5/(e*x+d)^9*A*d^4*a^6*b^4+28/e^6/(e*x+d)^9*A*d^5*a^5*b^5-70/3/e^7/(e*x+d)^9*A*d^6*a^4*b^6+40/3/e^8/(e*x+d)^9*A*d^7*a^3*b^7-5/e^9/(e*x+d)^9*A*d^8*a^2*b^8+10/9/e^10/(e*x+d)^9*A*d^9*a*b^9-10/9/e^3/(e*x+d)^9*B*d^2*a^9*b+5/e^4/(e*x+d)^9*B*d^3*a^8*b^2-40/3/e^5/(e*x+d)^9*B*d^4*a^7*b^3+70/3/e^6/(e*x+d)^9*B*d^5*a^6*b^4-28/e^7/(e*x+d)^9*B*d^6*a^5*b^5+70/3/e^8/(e*x+d)^9*B*d^7*a^4*b^6-40/3/e^9/(e*x+d)^9*B*d^8*a^3*b^7+5/e^10/(e*x+d)^9*B*d^9*a^2*b^8-10/9/e^11/(e*x+d)^9*B*a*b^9*d^10+140*b^4/e^5/(e*x+d)^6*A*a^6*d-420*b^5/e^6/(e*x+d)^6*A*a^5*d^2+700*b^6/e^7/(e*x+d)^6*A*a^4*d^3-700*b^7/e^8/(e*x+d)^6*A*a^3*d^4+420*b^8/e^9/(e*x+d)^6*A*a^2*d^5-140*b^9/e^10/(e*x+d)^6*A*a*d^6+80*b^3/e^5/(e*x+d)^6*B*a^7*d-350*b^4/e^6/(e*x+d)^6*B*a^6*d^2+840*b^5/e^7/(e*x+d)^6*B*a^5*d^3-1225*b^6/e^8/(e*x+d)^6*B*a^4*d^4-450*b^9/e^11/(e*x+d)*B*a*d^2+280*b^7/e^8/(e*x+d)^3*A*a^3*d+90*b^9/e^10/(e*x+d)*A*a*d+405*b^8/e^10/(e*x+d)*B*a^2*d-420*b^8/e^9/(e*x+d)^3*A*a^2*d^2+280*b^9/e^10/(e*x+d)^3*A*a*d^3+490*b^6/e^8/(e*x+d)^3*B*a^4*d-1120*b^7/e^9/(e*x+d)^3*B*a^3*d^2+1260*b^8/e^10/(e*x+d)^3*B*a^2*d^3-700*b^9/e^11/(e*x+d)^3*B*a*d^4+315*b^6/e^7/(e*x+d)^4*A*a^4*d-630*b^7/e^8/(e*x+d)^4*A*a^3*d^2+630*b^8/e^9/(e*x+d)^4*A*a^2*d^3-315*b^9/e^10/(e*x+d)^4*A*a*d^4+378*b^5/e^7/(e*x+d)^4*B*a^5*d-2205/2*b^6/e^8/(e*x+d)^4*B*a^4*d^2+1680*b^7/e^9/(e*x+d)^4*B*a^3*d^3-2835/2*b^8/e^10/(e*x+d)^4*B*a^2*d^4+630*b^9/e^11/(e*x+d)^4*B*a*d^5+252*b^5/e^6/(e*x+d)^5*A*a^5*d-630*b^6/e^7/(e*x+d)^5*A*a^4*d^2+840*b^7/e^8/(e*x+d)^5*A*a^3*d^3-630*b^8/e^9/(e*x+d)^5*A*a^2*d^4+252*b^9/e^10/(e*x+d)^5*A*a*d^5+210*b^4/e^6/(e*x+d)^5*B*a^6*d-756*b^5/e^7/(e*x+d)^5*B*a^5*d^2+1470*b^6/e^8/(e*x+d)^5*B*a^4*d^3-1680*b^7/e^9/(e*x+d)^5*B*a^3*d^4-45/7*b^2/e^3/(e*x+d)^7*A*a^8-45/7*b^10/e^11/(e*x+d)^7*A*d^8-135/8/e^4/(e*x+d)^8*B*a^8*b^2*d^2+60/e^5/(e*x+d)^8*B*a^7*b^3*d^3-525/4/e^6/(e*x+d)^8*B*a^6*b^4*d^4+189/e^7/(e*x+d)^8*B*a^5*b^5*d^5-735/4/e^8/(e*x+d)^8*B*a^4*b^6*d^6+120/e^9/(e*x+d)^8*B*a^3*b^7*d^7-405/8/e^10/(e*x+d)^8*B*a^2*b^8*d^8+25/2/e^11/(e*x+d)^8*B*a*b^9*d^9","B"
1099,1,2897,432,0.023000," ","int((b*x+a)^10*(B*x+A)/(e*x+d)^11,x)","\text{output too large to display}"," ",0,"-1/10/e/(e*x+d)^10*a^10*A-1/9/e^2/(e*x+d)^9*B*a^10+b^10/e^11*ln(e*x+d)*A-10/9/e^2/(e*x+d)^9*A*a^9*b+10/9/e^11/(e*x+d)^9*A*b^10*d^9-11/9/e^12/(e*x+d)^9*b^10*B*d^10+9/2/e^10/(e*x+d)^10*B*d^9*a^2*b^8-1/e^11/(e*x+d)^10*B*d^10*a*b^9-45/7*b^2/e^4/(e*x+d)^7*B*a^8-165/7*b^10/e^12/(e*x+d)^7*B*d^8-11*b^10/e^12*ln(e*x+d)*B*d-45/2*b^8/e^9/(e*x+d)^2*A*a^2-45/2*b^10/e^11/(e*x+d)^2*A*d^2-60*b^7/e^9/(e*x+d)^2*B*a^3+165/2*b^10/e^12/(e*x+d)^2*B*d^3-45/8*b^2/e^3/(e*x+d)^8*A*a^8-45/8*b^10/e^11/(e*x+d)^8*A*d^8-5/4*b/e^3/(e*x+d)^8*B*a^9-105/2*b^6/e^7/(e*x+d)^4*A*a^4-105/2*b^10/e^11/(e*x+d)^4*A*d^4-63*b^5/e^7/(e*x+d)^4*B*a^5+231/2*b^10/e^12/(e*x+d)^4*B*d^5-252/5*b^5/e^6/(e*x+d)^5*A*a^5+252/5*b^10/e^11/(e*x+d)^5*A*d^5-42*b^4/e^6/(e*x+d)^5*B*a^6-462/5*b^10/e^12/(e*x+d)^5*B*d^6+10*b^9/e^11*ln(e*x+d)*B*a+55/8*b^10/e^12/(e*x+d)^8*B*d^9-1/10/e^11/(e*x+d)^10*A*d^10*b^10+1/10/e^2/(e*x+d)^10*B*d*a^10+1/10/e^12/(e*x+d)^10*b^10*B*d^11+b^10*B*x/e^11-1134*b^8/e^10/(e*x+d)^5*B*a^2*d^4+135/8*b^2/e^4/(e*x+d)^8*B*a^8*d-90*b^3/e^5/(e*x+d)^8*B*a^7*d^2+525/2*b^4/e^6/(e*x+d)^8*B*a^6*d^3-945/2*b^5/e^7/(e*x+d)^8*B*a^5*d^4+2205/4*b^6/e^8/(e*x+d)^8*B*a^4*d^5-420*b^7/e^9/(e*x+d)^8*B*a^3*d^6+405/2*b^8/e^10/(e*x+d)^8*B*a^2*d^7-225/4*b^9/e^11/(e*x+d)^8*B*a*d^8+1/e^2/(e*x+d)^10*A*d*a^9*b-9/2/e^3/(e*x+d)^10*A*d^2*a^8*b^2+12/e^4/(e*x+d)^10*A*d^3*a^7*b^3-21/e^5/(e*x+d)^10*A*d^4*a^6*b^4+126/5/e^6/(e*x+d)^10*A*d^5*a^5*b^5-21/e^7/(e*x+d)^10*A*d^6*a^4*b^6+210*b^7/e^8/(e*x+d)^4*A*a^3*d-315*b^8/e^9/(e*x+d)^4*A*a^2*d^2+210*b^9/e^10/(e*x+d)^4*A*a*d^3+735/2*b^6/e^8/(e*x+d)^4*B*a^4*d-840*b^7/e^9/(e*x+d)^4*B*a^3*d^2+945*b^8/e^10/(e*x+d)^4*B*a^2*d^3-525*b^9/e^11/(e*x+d)^4*B*a*d^4+252*b^6/e^7/(e*x+d)^5*A*a^4*d+45*b^9/e^10/(e*x+d)^8*A*a*d^7-350/3/e^6/(e*x+d)^9*B*a^6*b^4*d^4+120*b^4/e^5/(e*x+d)^7*A*a^6*d-360*b^5/e^6/(e*x+d)^7*A*a^5*d^2+600*b^6/e^7/(e*x+d)^7*A*a^4*d^3-600*b^7/e^8/(e*x+d)^7*A*a^3*d^4+360*b^8/e^9/(e*x+d)^7*A*a^2*d^5-120*b^9/e^10/(e*x+d)^7*A*a*d^6+480/7*b^3/e^5/(e*x+d)^7*B*a^7*d-300*b^4/e^6/(e*x+d)^7*B*a^6*d^2+720*b^5/e^7/(e*x+d)^7*B*a^5*d^3-1050*b^6/e^8/(e*x+d)^7*B*a^4*d^4+960*b^7/e^9/(e*x+d)^7*B*a^3*d^5-540*b^8/e^10/(e*x+d)^7*B*a^2*d^6+1200/7*b^9/e^11/(e*x+d)^7*B*a*d^7+12/e^8/(e*x+d)^10*A*d^7*a^3*b^7-9/2/e^9/(e*x+d)^10*A*d^8*a^2*b^8+1/e^10/(e*x+d)^10*A*d^9*a*b^9-1/e^3/(e*x+d)^10*B*d^2*a^9*b+9/2/e^4/(e*x+d)^10*B*d^3*a^8*b^2-12/e^5/(e*x+d)^10*B*d^4*a^7*b^3+21/e^6/(e*x+d)^10*B*d^5*a^6*b^4-315/2*b^8/e^9/(e*x+d)^8*A*a^2*d^6-120*b^9/e^10/(e*x+d)^3*A*a*d^2+320*b^7/e^9/(e*x+d)^3*B*a^3*d+100*b^9/e^11/(e*x+d)*B*a*d+120*b^8/e^9/(e*x+d)^3*A*a^2*d-126/5/e^7/(e*x+d)^10*B*d^6*a^5*b^5+21/e^8/(e*x+d)^10*B*d^7*a^4*b^6-12/e^9/(e*x+d)^10*B*d^8*a^3*b^7-504*b^7/e^8/(e*x+d)^5*A*a^3*d^2+504*b^8/e^9/(e*x+d)^5*A*a^2*d^3-252*b^9/e^10/(e*x+d)^5*A*a*d^4+1512/5*b^5/e^7/(e*x+d)^5*B*a^5*d-882*b^6/e^8/(e*x+d)^5*B*a^4*d^2+504*b^9/e^11/(e*x+d)^5*B*a*d^5+45*b^9/e^10/(e*x+d)^2*A*a*d+405/2*b^8/e^10/(e*x+d)^2*B*a^2*d+10/e^3/(e*x+d)^9*A*a^8*b^2*d-40/e^4/(e*x+d)^9*A*a^7*b^3*d^2+280/3/e^5/(e*x+d)^9*A*a^6*b^4*d^3-140/e^6/(e*x+d)^9*A*a^5*b^5*d^4+140/e^7/(e*x+d)^9*A*a^4*b^6*d^5-280/3/e^8/(e*x+d)^9*A*a^3*b^7*d^6+40/e^9/(e*x+d)^9*A*a^2*b^8*d^7-10/e^10/(e*x+d)^9*A*a*b^9*d^8+20/9/e^3/(e*x+d)^9*B*a^9*b*d-15/e^4/(e*x+d)^9*B*a^8*b^2*d^2+160/3/e^5/(e*x+d)^9*B*a^7*b^3*d^3-45*b^8/e^10/(e*x+d)*B*a^2-55*b^10/e^12/(e*x+d)*B*d^2-40*b^7/e^8/(e*x+d)^3*A*a^3+40*b^10/e^11/(e*x+d)^3*A*d^3-70*b^6/e^8/(e*x+d)^3*B*a^4-110*b^10/e^12/(e*x+d)^3*B*d^4-35*b^4/e^5/(e*x+d)^6*A*a^6-35*b^10/e^11/(e*x+d)^6*A*d^6-20*b^3/e^5/(e*x+d)^6*B*a^7+55*b^10/e^12/(e*x+d)^6*B*d^7-120/7*b^3/e^4/(e*x+d)^7*A*a^7+120/7*b^10/e^11/(e*x+d)^7*A*d^7+168/e^7/(e*x+d)^9*B*a^5*b^5*d^5-490/3/e^8/(e*x+d)^9*B*a^4*b^6*d^6+320/3/e^9/(e*x+d)^9*B*a^3*b^7*d^7-45/e^10/(e*x+d)^9*B*a^2*b^8*d^8+100/9/e^11/(e*x+d)^9*B*a*b^9*d^9+210*b^5/e^6/(e*x+d)^6*A*a^5*d-525*b^6/e^7/(e*x+d)^6*A*a^4*d^2-540*b^8/e^10/(e*x+d)^3*B*a^2*d^2+400*b^9/e^11/(e*x+d)^3*B*a*d^3-10*b^9/e^10/(e*x+d)*A*a+10*b^10/e^11/(e*x+d)*A*d-350*b^9/e^11/(e*x+d)^6*B*a*d^6-225*b^9/e^11/(e*x+d)^2*B*a*d^2+45*b^3/e^4/(e*x+d)^8*A*a^7*d-315/2*b^4/e^5/(e*x+d)^8*A*a^6*d^2+315*b^5/e^6/(e*x+d)^8*A*a^5*d^3-1575/4*b^6/e^7/(e*x+d)^8*A*a^4*d^4+315*b^7/e^8/(e*x+d)^8*A*a^3*d^5+1344*b^7/e^9/(e*x+d)^5*B*a^3*d^3+700*b^7/e^8/(e*x+d)^6*A*a^3*d^3-525*b^8/e^9/(e*x+d)^6*A*a^2*d^4+210*b^9/e^10/(e*x+d)^6*A*a*d^5+175*b^4/e^6/(e*x+d)^6*B*a^6*d-630*b^5/e^7/(e*x+d)^6*B*a^5*d^2+1225*b^6/e^8/(e*x+d)^6*B*a^4*d^3-1400*b^7/e^9/(e*x+d)^6*B*a^3*d^4+945*b^8/e^10/(e*x+d)^6*B*a^2*d^5","B"
1100,1,2907,305,0.016000," ","int((b*x+a)^10*(B*x+A)/(e*x+d)^12,x)","\text{output too large to display}"," ",0,"-1/10/e^2/(e*x+d)^10*a^10*B-b^10/e^11/(e*x+d)*A-1/11/e/(e*x+d)^11*a^10*A-945/2*b^8/e^10/(e*x+d)^8*B*a^2*d^6+150*b^9/e^11/(e*x+d)^8*B*a*d^7+10/11/e^2/(e*x+d)^11*A*d*a^9*b-45/11/e^3/(e*x+d)^11*A*d^2*a^8*b^2+120/11/e^4/(e*x+d)^11*A*d^3*a^7*b^3-210/11/e^5/(e*x+d)^11*A*d^4*a^6*b^4+252/11/e^6/(e*x+d)^11*A*d^5*a^5*b^5+30*b^9/e^10/(e*x+d)^3*A*a*d-210/11/e^7/(e*x+d)^11*A*d^6*a^4*b^6+120/11/e^8/(e*x+d)^11*A*d^7*a^3*b^7-45/11/e^9/(e*x+d)^11*A*d^8*a^2*b^8+10/11/e^10/(e*x+d)^11*A*d^9*a*b^9-10/11/e^3/(e*x+d)^11*B*d^2*a^9*b+45/11/e^4/(e*x+d)^11*B*d^3*a^8*b^2-120/11/e^5/(e*x+d)^11*B*d^4*a^7*b^3+210/11/e^6/(e*x+d)^11*B*d^5*a^6*b^4-252/11/e^7/(e*x+d)^11*B*d^6*a^5*b^5+210/11/e^8/(e*x+d)^11*B*d^7*a^4*b^6-120/11/e^9/(e*x+d)^11*B*d^8*a^3*b^7+45/11/e^10/(e*x+d)^11*B*d^9*a^2*b^8-10/11/e^11/(e*x+d)^11*B*d^10*a*b^9+9/e^3/(e*x+d)^10*A*d*a^8*b^2-36/e^4/(e*x+d)^10*A*d^2*a^7*b^3+84/e^5/(e*x+d)^10*A*d^3*a^6*b^4-126/e^6/(e*x+d)^10*A*d^4*a^5*b^5+126/e^7/(e*x+d)^10*A*d^5*a^4*b^6-84/e^8/(e*x+d)^10*A*d^6*a^3*b^7+36/e^9/(e*x+d)^10*A*d^7*a^2*b^8-9/e^10/(e*x+d)^10*A*d^8*a*b^9+2/e^3/(e*x+d)^10*B*d*a^9*b-27/2/e^4/(e*x+d)^10*B*d^2*a^8*b^2+48/e^5/(e*x+d)^10*B*d^3*a^7*b^3-105/e^6/(e*x+d)^10*B*d^4*a^6*b^4+756/5/e^7/(e*x+d)^10*B*d^5*a^5*b^5-147/e^8/(e*x+d)^10*B*d^6*a^4*b^6+96/e^9/(e*x+d)^10*B*d^7*a^3*b^7-81/2/e^10/(e*x+d)^10*B*d^8*a^2*b^8+10/e^11/(e*x+d)^10*B*d^9*a*b^9+40*b^3/e^4/(e*x+d)^9*A*a^7*d+b^10*B*ln(e*x+d)/e^12-945*b^8/e^10/(e*x+d)^6*B*a^2*d^4+420*b^9/e^11/(e*x+d)^6*B*a*d^5+180*b^5/e^6/(e*x+d)^7*A*a^5*d-450*b^6/e^7/(e*x+d)^7*A*a^4*d^2+600*b^7/e^8/(e*x+d)^7*A*a^3*d^3-450*b^8/e^9/(e*x+d)^7*A*a^2*d^4+180*b^9/e^10/(e*x+d)^7*A*a*d^5+150*b^4/e^6/(e*x+d)^7*B*a^6*d-540*b^5/e^7/(e*x+d)^7*B*a^5*d^2+1050*b^6/e^8/(e*x+d)^7*B*a^4*d^3-1200*b^7/e^9/(e*x+d)^7*B*a^3*d^4+810*b^8/e^10/(e*x+d)^7*B*a^2*d^5-300*b^9/e^11/(e*x+d)^7*B*a*d^6+135*b^8/e^10/(e*x+d)^3*B*a^2*d-150*b^9/e^11/(e*x+d)^3*B*a*d^2+90*b^8/e^9/(e*x+d)^4*A*a^2*d-90*b^9/e^10/(e*x+d)^4*A*a*d^2+240*b^7/e^9/(e*x+d)^4*B*a^3*d-405*b^8/e^10/(e*x+d)^4*B*a^2*d^2+300*b^9/e^11/(e*x+d)^4*B*a*d^3+168*b^7/e^8/(e*x+d)^5*A*a^3*d-252*b^8/e^9/(e*x+d)^5*A*a^2*d^2+168*b^9/e^10/(e*x+d)^5*A*a*d^3+294*b^6/e^8/(e*x+d)^5*B*a^4*d-672*b^7/e^9/(e*x+d)^5*B*a^3*d^2+756*b^8/e^10/(e*x+d)^5*B*a^2*d^3-420*b^9/e^11/(e*x+d)^5*B*a*d^4+50*b^9/e^11/(e*x+d)^2*B*a*d+105*b^4/e^5/(e*x+d)^8*A*a^6*d-315*b^5/e^6/(e*x+d)^8*A*a^5*d^2+525*b^6/e^7/(e*x+d)^8*A*a^4*d^3-525*b^7/e^8/(e*x+d)^8*A*a^3*d^4+315*b^8/e^9/(e*x+d)^8*A*a^2*d^5-105*b^9/e^10/(e*x+d)^8*A*a*d^6+60*b^3/e^5/(e*x+d)^8*B*a^7*d-525/2*b^4/e^6/(e*x+d)^8*B*a^6*d^2+630*b^5/e^7/(e*x+d)^8*B*a^5*d^3-3675/4*b^6/e^8/(e*x+d)^8*B*a^4*d^4+840*b^7/e^9/(e*x+d)^8*B*a^3*d^5+700/3*b^4/e^6/(e*x+d)^9*B*a^6*d^3-420*b^5/e^7/(e*x+d)^9*B*a^5*d^4+490*b^6/e^8/(e*x+d)^9*B*a^4*d^5-1120/3*b^7/e^9/(e*x+d)^9*B*a^3*d^6+180*b^8/e^10/(e*x+d)^9*B*a^2*d^7-50*b^9/e^11/(e*x+d)^9*B*a*d^8+210*b^6/e^7/(e*x+d)^6*A*a^4*d-420*b^7/e^8/(e*x+d)^6*A*a^3*d^2+420*b^8/e^9/(e*x+d)^6*A*a^2*d^3-210*b^9/e^10/(e*x+d)^6*A*a*d^4+252*b^5/e^7/(e*x+d)^6*B*a^5*d-735*b^6/e^8/(e*x+d)^6*B*a^4*d^2+1120*b^7/e^9/(e*x+d)^6*B*a^3*d^3-77*b^10/e^12/(e*x+d)^6*B*d^6-10*b^9/e^11/(e*x+d)*B*a+11*b^10/e^12/(e*x+d)*B*d-30*b^7/e^8/(e*x+d)^4*A*a^3+30*b^10/e^11/(e*x+d)^4*A*d^3-105/2*b^6/e^8/(e*x+d)^4*B*a^4-165/2*b^10/e^12/(e*x+d)^4*B*d^4-42*b^6/e^7/(e*x+d)^5*A*a^4-42*b^10/e^11/(e*x+d)^5*A*d^4-252/5*b^5/e^7/(e*x+d)^5*B*a^5+462/5*b^10/e^12/(e*x+d)^5*B*d^5-15*b^8/e^9/(e*x+d)^3*A*a^2-140*b^4/e^5/(e*x+d)^9*A*a^6*d^2+280*b^5/e^6/(e*x+d)^9*A*a^5*d^3-350*b^6/e^7/(e*x+d)^9*A*a^4*d^4+280*b^7/e^8/(e*x+d)^9*A*a^3*d^5-140*b^8/e^9/(e*x+d)^9*A*a^2*d^6+40*b^9/e^10/(e*x+d)^9*A*a*d^7+15*b^2/e^4/(e*x+d)^9*B*a^8*d-80*b^3/e^5/(e*x+d)^9*B*a^7*d^2-15*b^10/e^11/(e*x+d)^3*A*d^2-40*b^7/e^9/(e*x+d)^3*B*a^3+55*b^10/e^12/(e*x+d)^3*B*d^3-5*b^9/e^10/(e*x+d)^2*A*a+5*b^10/e^11/(e*x+d)^2*A*d-45/2*b^8/e^10/(e*x+d)^2*B*a^2-55/2*b^10/e^12/(e*x+d)^2*B*d^2-15*b^3/e^4/(e*x+d)^8*A*a^7+15*b^10/e^11/(e*x+d)^8*A*d^7-45/8*b^2/e^4/(e*x+d)^8*B*a^8-165/8*b^10/e^12/(e*x+d)^8*B*d^8-1/11/e^11/(e*x+d)^11*A*d^10*b^10+1/11/e^2/(e*x+d)^11*B*d*a^10+1/11/e^12/(e*x+d)^11*b^10*B*d^11-1/e^2/(e*x+d)^10*A*a^9*b+1/e^11/(e*x+d)^10*A*d^9*b^10-11/10/e^12/(e*x+d)^10*b^10*B*d^10-30*b^4/e^5/(e*x+d)^7*A*a^6-30*b^10/e^11/(e*x+d)^7*A*d^6-120/7*b^3/e^5/(e*x+d)^7*B*a^7+330/7*b^10/e^12/(e*x+d)^7*B*d^7-10/9*b/e^3/(e*x+d)^9*B*a^9+55/9*b^10/e^12/(e*x+d)^9*B*d^9-42*b^5/e^6/(e*x+d)^6*A*a^5+42*b^10/e^11/(e*x+d)^6*A*d^5-35*b^4/e^6/(e*x+d)^6*B*a^6-5*b^2/e^3/(e*x+d)^9*A*a^8-5*b^10/e^11/(e*x+d)^9*A*d^8","B"
1101,1,1942,82,0.011000," ","int((b*x+a)^10*(B*x+A)/(e*x+d)^13,x)","-\frac{B \,b^{10}}{\left(e x +d \right) e^{12}}-\frac{\left(A b e +10 B a e -11 B b d \right) b^{9}}{2 \left(e x +d \right)^{2} e^{12}}-\frac{5 \left(2 A a b \,e^{2}-2 A \,b^{2} d e +9 B \,a^{2} e^{2}-20 B a b d e +11 B \,b^{2} d^{2}\right) b^{8}}{3 \left(e x +d \right)^{3} e^{12}}-\frac{15 \left(3 A \,a^{2} b \,e^{3}-6 A a \,b^{2} d \,e^{2}+3 A \,b^{3} d^{2} e +8 B \,a^{3} e^{3}-27 B \,a^{2} b d \,e^{2}+30 B a \,b^{2} d^{2} e -11 B \,b^{3} d^{3}\right) b^{7}}{4 \left(e x +d \right)^{4} e^{12}}-\frac{6 \left(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 +7 B \,a^{4} e^{4}-32 B \,a^{3} b d \,e^{3}+54 B \,a^{2} b^{2} d^{2} e^{2}-40 B a \,b^{3} d^{3} e +11 B \,b^{4} d^{4}\right) b^{6}}{\left(e x +d \right)^{5} e^{12}}-\frac{7 \left(5 A \,a^{4} b \,e^{5}-20 A \,a^{3} b^{2} d \,e^{4}+30 A \,a^{2} b^{3} d^{2} e^{3}-20 A a \,b^{4} d^{3} e^{2}+5 A \,b^{5} d^{4} e +6 B \,a^{5} e^{5}-35 B \,a^{4} b d \,e^{4}+80 B \,a^{3} b^{2} d^{2} e^{3}-90 B \,a^{2} b^{3} d^{3} e^{2}+50 B a \,b^{4} d^{4} e -11 B \,b^{5} d^{5}\right) b^{5}}{\left(e x +d \right)^{6} e^{12}}-\frac{6 \left(6 A \,a^{5} b \,e^{6}-30 A \,a^{4} b^{2} d \,e^{5}+60 A \,a^{3} b^{3} d^{2} e^{4}-60 A \,a^{2} b^{4} d^{3} e^{3}+30 A a \,b^{5} d^{4} e^{2}-6 A \,b^{6} d^{5} e +5 B \,a^{6} e^{6}-36 B \,a^{5} b d \,e^{5}+105 B \,a^{4} b^{2} d^{2} e^{4}-160 B \,a^{3} b^{3} d^{3} e^{3}+135 B \,a^{2} b^{4} d^{4} e^{2}-60 B a \,b^{5} d^{5} e +11 B \,b^{6} d^{6}\right) b^{4}}{\left(e x +d \right)^{7} e^{12}}-\frac{15 \left(7 A \,a^{6} b \,e^{7}-42 A \,a^{5} b^{2} d \,e^{6}+105 A \,a^{4} b^{3} d^{2} e^{5}-140 A \,a^{3} b^{4} d^{3} e^{4}+105 A \,a^{2} b^{5} d^{4} e^{3}-42 A a \,b^{6} d^{5} e^{2}+7 A \,b^{7} d^{6} e +4 B \,a^{7} e^{7}-35 B \,a^{6} b d \,e^{6}+126 B \,a^{5} b^{2} d^{2} e^{5}-245 B \,a^{4} b^{3} d^{3} e^{4}+280 B \,a^{3} b^{4} d^{4} e^{3}-189 B \,a^{2} b^{5} d^{5} e^{2}+70 B a \,b^{6} d^{6} e -11 B \,b^{7} d^{7}\right) b^{3}}{4 \left(e x +d \right)^{8} e^{12}}-\frac{5 \left(8 A \,a^{7} b \,e^{8}-56 A \,a^{6} b^{2} d \,e^{7}+168 A \,a^{5} b^{3} d^{2} e^{6}-280 A \,a^{4} b^{4} d^{3} e^{5}+280 A \,a^{3} b^{5} d^{4} e^{4}-168 A \,a^{2} b^{6} d^{5} e^{3}+56 A a \,b^{7} d^{6} e^{2}-8 A \,b^{8} d^{7} e +3 B \,a^{8} e^{8}-32 B \,a^{7} b d \,e^{7}+140 B \,a^{6} b^{2} d^{2} e^{6}-336 B \,a^{5} b^{3} d^{3} e^{5}+490 B \,a^{4} b^{4} d^{4} e^{4}-448 B \,a^{3} b^{5} d^{5} e^{3}+252 B \,a^{2} b^{6} d^{6} e^{2}-80 B a \,b^{7} d^{7} e +11 B \,b^{8} d^{8}\right) b^{2}}{3 \left(e x +d \right)^{9} e^{12}}-\frac{\left(9 A \,a^{8} b \,e^{9}-72 A \,a^{7} b^{2} d \,e^{8}+252 A \,a^{6} b^{3} d^{2} e^{7}-504 A \,a^{5} b^{4} d^{3} e^{6}+630 A \,a^{4} b^{5} d^{4} e^{5}-504 A \,a^{3} b^{6} d^{5} e^{4}+252 A \,a^{2} b^{7} d^{6} e^{3}-72 A a \,b^{8} d^{7} e^{2}+9 A \,b^{9} d^{8} e +2 B \,a^{9} e^{9}-27 B \,a^{8} b d \,e^{8}+144 B \,a^{7} b^{2} d^{2} e^{7}-420 B \,a^{6} b^{3} d^{3} e^{6}+756 B \,a^{5} b^{4} d^{4} e^{5}-882 B \,a^{4} b^{5} d^{5} e^{4}+672 B \,a^{3} b^{6} d^{6} e^{3}-324 B \,a^{2} b^{7} d^{7} e^{2}+90 B a \,b^{8} d^{8} e -11 B \,b^{9} d^{9}\right) b}{2 \left(e x +d \right)^{10} e^{12}}-\frac{a^{10} A \,e^{11}-10 A d \,a^{9} b \,e^{10}+45 A \,d^{2} a^{8} b^{2} e^{9}-120 A \,d^{3} a^{7} b^{3} e^{8}+210 A \,d^{4} a^{6} b^{4} e^{7}-252 A \,d^{5} a^{5} b^{5} e^{6}+210 A \,d^{6} a^{4} b^{6} e^{5}-120 A \,d^{7} a^{3} b^{7} e^{4}+45 A \,d^{8} a^{2} b^{8} e^{3}-10 A \,d^{9} a \,b^{9} e^{2}+A \,d^{10} b^{10} e -B d \,a^{10} e^{10}+10 B \,d^{2} a^{9} b \,e^{9}-45 B \,d^{3} a^{8} b^{2} e^{8}+120 B \,d^{4} a^{7} b^{3} e^{7}-210 B \,d^{5} a^{6} b^{4} e^{6}+252 B \,d^{6} a^{5} b^{5} e^{5}-210 B \,d^{7} a^{4} b^{6} e^{4}+120 B \,d^{8} a^{3} b^{7} e^{3}-45 B \,d^{9} a^{2} b^{8} e^{2}+10 B \,d^{10} a \,b^{9} e -b^{10} B \,d^{11}}{12 \left(e x +d \right)^{12} e^{12}}-\frac{10 A \,a^{9} b \,e^{10}-90 A d \,a^{8} b^{2} e^{9}+360 A \,d^{2} a^{7} b^{3} e^{8}-840 A \,d^{3} a^{6} b^{4} e^{7}+1260 A \,d^{4} a^{5} b^{5} e^{6}-1260 A \,d^{5} a^{4} b^{6} e^{5}+840 A \,d^{6} a^{3} b^{7} e^{4}-360 A \,d^{7} a^{2} b^{8} e^{3}+90 A \,d^{8} a \,b^{9} e^{2}-10 A \,d^{9} b^{10} e +a^{10} B \,e^{10}-20 B d \,a^{9} b \,e^{9}+135 B \,d^{2} a^{8} b^{2} e^{8}-480 B \,d^{3} a^{7} b^{3} e^{7}+1050 B \,d^{4} a^{6} b^{4} e^{6}-1512 B \,d^{5} a^{5} b^{5} e^{5}+1470 B \,d^{6} a^{4} b^{6} e^{4}-960 B \,d^{7} a^{3} b^{7} e^{3}+405 B \,d^{8} a^{2} b^{8} e^{2}-100 B \,d^{9} a \,b^{9} e +11 b^{10} B \,d^{10}}{11 \left(e x +d \right)^{11} e^{12}}"," 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1102,1,1942,129,0.010000," ","int((b*x+a)^10*(B*x+A)/(e*x+d)^14,x)","-\frac{B \,b^{10}}{2 \left(e x +d \right)^{2} e^{12}}-\frac{\left(A b e +10 B a e -11 B b d \right) b^{9}}{3 \left(e x +d \right)^{3} e^{12}}-\frac{5 \left(2 A a b \,e^{2}-2 A \,b^{2} d e +9 B \,a^{2} e^{2}-20 B a b d e +11 B \,b^{2} d^{2}\right) b^{8}}{4 \left(e x +d \right)^{4} e^{12}}-\frac{3 \left(3 A \,a^{2} b \,e^{3}-6 A a \,b^{2} d \,e^{2}+3 A \,b^{3} d^{2} e +8 B \,a^{3} e^{3}-27 B \,a^{2} b d \,e^{2}+30 B a \,b^{2} d^{2} e -11 B \,b^{3} d^{3}\right) b^{7}}{\left(e x +d \right)^{5} e^{12}}-\frac{5 \left(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 +7 B \,a^{4} e^{4}-32 B \,a^{3} b d \,e^{3}+54 B \,a^{2} b^{2} d^{2} e^{2}-40 B a \,b^{3} d^{3} e +11 B \,b^{4} d^{4}\right) b^{6}}{\left(e x +d \right)^{6} e^{12}}-\frac{6 \left(5 A \,a^{4} b \,e^{5}-20 A \,a^{3} b^{2} d \,e^{4}+30 A \,a^{2} b^{3} d^{2} e^{3}-20 A a \,b^{4} d^{3} e^{2}+5 A \,b^{5} d^{4} e +6 B \,a^{5} e^{5}-35 B \,a^{4} b d \,e^{4}+80 B \,a^{3} b^{2} d^{2} e^{3}-90 B \,a^{2} b^{3} d^{3} e^{2}+50 B a \,b^{4} d^{4} e -11 B \,b^{5} d^{5}\right) b^{5}}{\left(e x +d \right)^{7} e^{12}}-\frac{21 \left(6 A \,a^{5} b \,e^{6}-30 A \,a^{4} b^{2} d \,e^{5}+60 A \,a^{3} b^{3} d^{2} e^{4}-60 A \,a^{2} b^{4} d^{3} e^{3}+30 A a \,b^{5} d^{4} e^{2}-6 A \,b^{6} d^{5} e +5 B \,a^{6} e^{6}-36 B \,a^{5} b d \,e^{5}+105 B \,a^{4} b^{2} d^{2} e^{4}-160 B \,a^{3} b^{3} d^{3} e^{3}+135 B \,a^{2} b^{4} d^{4} e^{2}-60 B a \,b^{5} d^{5} e +11 B \,b^{6} d^{6}\right) b^{4}}{4 \left(e x +d \right)^{8} e^{12}}-\frac{10 \left(7 A \,a^{6} b \,e^{7}-42 A \,a^{5} b^{2} d \,e^{6}+105 A \,a^{4} b^{3} d^{2} e^{5}-140 A \,a^{3} b^{4} d^{3} e^{4}+105 A \,a^{2} b^{5} d^{4} e^{3}-42 A a \,b^{6} d^{5} e^{2}+7 A \,b^{7} d^{6} e +4 B \,a^{7} e^{7}-35 B \,a^{6} b d \,e^{6}+126 B \,a^{5} b^{2} d^{2} e^{5}-245 B \,a^{4} b^{3} d^{3} e^{4}+280 B \,a^{3} b^{4} d^{4} e^{3}-189 B \,a^{2} b^{5} d^{5} e^{2}+70 B a \,b^{6} d^{6} e -11 B \,b^{7} d^{7}\right) b^{3}}{3 \left(e x +d \right)^{9} e^{12}}-\frac{3 \left(8 A \,a^{7} b \,e^{8}-56 A \,a^{6} b^{2} d \,e^{7}+168 A \,a^{5} b^{3} d^{2} e^{6}-280 A \,a^{4} b^{4} d^{3} e^{5}+280 A \,a^{3} b^{5} d^{4} e^{4}-168 A \,a^{2} b^{6} d^{5} e^{3}+56 A a \,b^{7} d^{6} e^{2}-8 A \,b^{8} d^{7} e +3 B \,a^{8} e^{8}-32 B \,a^{7} b d \,e^{7}+140 B \,a^{6} b^{2} d^{2} e^{6}-336 B \,a^{5} b^{3} d^{3} e^{5}+490 B \,a^{4} b^{4} d^{4} e^{4}-448 B \,a^{3} b^{5} d^{5} e^{3}+252 B \,a^{2} b^{6} d^{6} e^{2}-80 B a \,b^{7} d^{7} e +11 B \,b^{8} d^{8}\right) b^{2}}{2 \left(e x +d \right)^{10} e^{12}}-\frac{5 \left(9 A \,a^{8} b \,e^{9}-72 A \,a^{7} b^{2} d \,e^{8}+252 A \,a^{6} b^{3} d^{2} e^{7}-504 A \,a^{5} b^{4} d^{3} e^{6}+630 A \,a^{4} b^{5} d^{4} e^{5}-504 A \,a^{3} b^{6} d^{5} e^{4}+252 A \,a^{2} b^{7} d^{6} e^{3}-72 A a \,b^{8} d^{7} e^{2}+9 A \,b^{9} d^{8} e +2 B \,a^{9} e^{9}-27 B \,a^{8} b d \,e^{8}+144 B \,a^{7} b^{2} d^{2} e^{7}-420 B \,a^{6} b^{3} d^{3} e^{6}+756 B \,a^{5} b^{4} d^{4} e^{5}-882 B \,a^{4} b^{5} d^{5} e^{4}+672 B \,a^{3} b^{6} d^{6} e^{3}-324 B \,a^{2} b^{7} d^{7} e^{2}+90 B a \,b^{8} d^{8} e -11 B \,b^{9} d^{9}\right) b}{11 \left(e x +d \right)^{11} e^{12}}-\frac{a^{10} A \,e^{11}-10 A d \,a^{9} b \,e^{10}+45 A \,d^{2} a^{8} b^{2} e^{9}-120 A \,d^{3} a^{7} b^{3} e^{8}+210 A \,d^{4} a^{6} b^{4} e^{7}-252 A \,d^{5} a^{5} b^{5} e^{6}+210 A \,d^{6} a^{4} b^{6} e^{5}-120 A \,d^{7} a^{3} b^{7} e^{4}+45 A \,d^{8} a^{2} b^{8} e^{3}-10 A \,d^{9} a \,b^{9} e^{2}+A \,d^{10} b^{10} e -B d \,a^{10} e^{10}+10 B \,d^{2} a^{9} b \,e^{9}-45 B \,d^{3} a^{8} b^{2} e^{8}+120 B \,d^{4} a^{7} b^{3} e^{7}-210 B \,d^{5} a^{6} b^{4} e^{6}+252 B \,d^{6} a^{5} b^{5} e^{5}-210 B \,d^{7} a^{4} b^{6} e^{4}+120 B \,d^{8} a^{3} b^{7} e^{3}-45 B \,d^{9} a^{2} b^{8} e^{2}+10 B \,d^{10} a \,b^{9} e -b^{10} B \,d^{11}}{13 \left(e x +d \right)^{13} e^{12}}-\frac{10 A \,a^{9} b \,e^{10}-90 A d \,a^{8} b^{2} e^{9}+360 A \,d^{2} a^{7} b^{3} e^{8}-840 A \,d^{3} a^{6} b^{4} e^{7}+1260 A \,d^{4} a^{5} b^{5} e^{6}-1260 A \,d^{5} a^{4} b^{6} e^{5}+840 A \,d^{6} a^{3} b^{7} e^{4}-360 A \,d^{7} a^{2} b^{8} e^{3}+90 A \,d^{8} a \,b^{9} e^{2}-10 A \,d^{9} b^{10} e +a^{10} B \,e^{10}-20 B d \,a^{9} b \,e^{9}+135 B \,d^{2} a^{8} b^{2} e^{8}-480 B \,d^{3} a^{7} b^{3} e^{7}+1050 B \,d^{4} a^{6} b^{4} e^{6}-1512 B \,d^{5} a^{5} b^{5} e^{5}+1470 B \,d^{6} a^{4} b^{6} e^{4}-960 B \,d^{7} a^{3} b^{7} e^{3}+405 B \,d^{8} a^{2} b^{8} e^{2}-100 B \,d^{9} a \,b^{9} e +11 b^{10} B \,d^{10}}{12 \left(e x +d \right)^{12} e^{12}}"," ",0,"-1/3*b^9*(A*b*e+10*B*a*e-11*B*b*d)/e^12/(e*x+d)^3-5/4*b^8*(2*A*a*b*e^2-2*A*b^2*d*e+9*B*a^2*e^2-20*B*a*b*d*e+11*B*b^2*d^2)/e^12/(e*x+d)^4-3*b^7*(3*A*a^2*b*e^3-6*A*a*b^2*d*e^2+3*A*b^3*d^2*e+8*B*a^3*e^3-27*B*a^2*b*d*e^2+30*B*a*b^2*d^2*e-11*B*b^3*d^3)/e^12/(e*x+d)^5-1/2*B*b^10/e^12/(e*x+d)^2-1/13*(A*a^10*e^11-10*A*a^9*b*d*e^10+45*A*a^8*b^2*d^2*e^9-120*A*a^7*b^3*d^3*e^8+210*A*a^6*b^4*d^4*e^7-252*A*a^5*b^5*d^5*e^6+210*A*a^4*b^6*d^6*e^5-120*A*a^3*b^7*d^7*e^4+45*A*a^2*b^8*d^8*e^3-10*A*a*b^9*d^9*e^2+A*b^10*d^10*e-B*a^10*d*e^10+10*B*a^9*b*d^2*e^9-45*B*a^8*b^2*d^3*e^8+120*B*a^7*b^3*d^4*e^7-210*B*a^6*b^4*d^5*e^6+252*B*a^5*b^5*d^6*e^5-210*B*a^4*b^6*d^7*e^4+120*B*a^3*b^7*d^8*e^3-45*B*a^2*b^8*d^9*e^2+10*B*a*b^9*d^10*e-B*b^10*d^11)/e^12/(e*x+d)^13-21/4*b^4*(6*A*a^5*b*e^6-30*A*a^4*b^2*d*e^5+60*A*a^3*b^3*d^2*e^4-60*A*a^2*b^4*d^3*e^3+30*A*a*b^5*d^4*e^2-6*A*b^6*d^5*e+5*B*a^6*e^6-36*B*a^5*b*d*e^5+105*B*a^4*b^2*d^2*e^4-160*B*a^3*b^3*d^3*e^3+135*B*a^2*b^4*d^4*e^2-60*B*a*b^5*d^5*e+11*B*b^6*d^6)/e^12/(e*x+d)^8-1/12*(10*A*a^9*b*e^10-90*A*a^8*b^2*d*e^9+360*A*a^7*b^3*d^2*e^8-840*A*a^6*b^4*d^3*e^7+1260*A*a^5*b^5*d^4*e^6-1260*A*a^4*b^6*d^5*e^5+840*A*a^3*b^7*d^6*e^4-360*A*a^2*b^8*d^7*e^3+90*A*a*b^9*d^8*e^2-10*A*b^10*d^9*e+B*a^10*e^10-20*B*a^9*b*d*e^9+135*B*a^8*b^2*d^2*e^8-480*B*a^7*b^3*d^3*e^7+1050*B*a^6*b^4*d^4*e^6-1512*B*a^5*b^5*d^5*e^5+1470*B*a^4*b^6*d^6*e^4-960*B*a^3*b^7*d^7*e^3+405*B*a^2*b^8*d^8*e^2-100*B*a*b^9*d^9*e+11*B*b^10*d^10)/e^12/(e*x+d)^12-5/11*b*(9*A*a^8*b*e^9-72*A*a^7*b^2*d*e^8+252*A*a^6*b^3*d^2*e^7-504*A*a^5*b^4*d^3*e^6+630*A*a^4*b^5*d^4*e^5-504*A*a^3*b^6*d^5*e^4+252*A*a^2*b^7*d^6*e^3-72*A*a*b^8*d^7*e^2+9*A*b^9*d^8*e+2*B*a^9*e^9-27*B*a^8*b*d*e^8+144*B*a^7*b^2*d^2*e^7-420*B*a^6*b^3*d^3*e^6+756*B*a^5*b^4*d^4*e^5-882*B*a^4*b^5*d^5*e^4+672*B*a^3*b^6*d^6*e^3-324*B*a^2*b^7*d^7*e^2+90*B*a*b^8*d^8*e-11*B*b^9*d^9)/e^12/(e*x+d)^11-3/2*b^2*(8*A*a^7*b*e^8-56*A*a^6*b^2*d*e^7+168*A*a^5*b^3*d^2*e^6-280*A*a^4*b^4*d^3*e^5+280*A*a^3*b^5*d^4*e^4-168*A*a^2*b^6*d^5*e^3+56*A*a*b^7*d^6*e^2-8*A*b^8*d^7*e+3*B*a^8*e^8-32*B*a^7*b*d*e^7+140*B*a^6*b^2*d^2*e^6-336*B*a^5*b^3*d^3*e^5+490*B*a^4*b^4*d^4*e^4-448*B*a^3*b^5*d^5*e^3+252*B*a^2*b^6*d^6*e^2-80*B*a*b^7*d^7*e+11*B*b^8*d^8)/e^12/(e*x+d)^10-10/3*b^3*(7*A*a^6*b*e^7-42*A*a^5*b^2*d*e^6+105*A*a^4*b^3*d^2*e^5-140*A*a^3*b^4*d^3*e^4+105*A*a^2*b^5*d^4*e^3-42*A*a*b^6*d^5*e^2+7*A*b^7*d^6*e+4*B*a^7*e^7-35*B*a^6*b*d*e^6+126*B*a^5*b^2*d^2*e^5-245*B*a^4*b^3*d^3*e^4+280*B*a^3*b^4*d^4*e^3-189*B*a^2*b^5*d^5*e^2+70*B*a*b^6*d^6*e-11*B*b^7*d^7)/e^12/(e*x+d)^9-5*b^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+7*B*a^4*e^4-32*B*a^3*b*d*e^3+54*B*a^2*b^2*d^2*e^2-40*B*a*b^3*d^3*e+11*B*b^4*d^4)/e^12/(e*x+d)^6-6*b^5*(5*A*a^4*b*e^5-20*A*a^3*b^2*d*e^4+30*A*a^2*b^3*d^2*e^3-20*A*a*b^4*d^3*e^2+5*A*b^5*d^4*e+6*B*a^5*e^5-35*B*a^4*b*d*e^4+80*B*a^3*b^2*d^2*e^3-90*B*a^2*b^3*d^3*e^2+50*B*a*b^4*d^4*e-11*B*b^5*d^5)/e^12/(e*x+d)^7","B"
1103,1,1942,177,0.011000," ","int((b*x+a)^10*(B*x+A)/(e*x+d)^15,x)","-\frac{B \,b^{10}}{3 \left(e x +d \right)^{3} e^{12}}-\frac{\left(A b e +10 B a e -11 B b d \right) b^{9}}{4 \left(e x +d \right)^{4} e^{12}}-\frac{\left(2 A a b \,e^{2}-2 A \,b^{2} d e +9 B \,a^{2} e^{2}-20 B a b d e +11 B \,b^{2} d^{2}\right) b^{8}}{\left(e x +d \right)^{5} e^{12}}-\frac{5 \left(3 A \,a^{2} b \,e^{3}-6 A a \,b^{2} d \,e^{2}+3 A \,b^{3} d^{2} e +8 B \,a^{3} e^{3}-27 B \,a^{2} b d \,e^{2}+30 B a \,b^{2} d^{2} e -11 B \,b^{3} d^{3}\right) b^{7}}{2 \left(e x +d \right)^{6} e^{12}}-\frac{30 \left(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 +7 B \,a^{4} e^{4}-32 B \,a^{3} b d \,e^{3}+54 B \,a^{2} b^{2} d^{2} e^{2}-40 B a \,b^{3} d^{3} e +11 B \,b^{4} d^{4}\right) b^{6}}{7 \left(e x +d \right)^{7} e^{12}}-\frac{21 \left(5 A \,a^{4} b \,e^{5}-20 A \,a^{3} b^{2} d \,e^{4}+30 A \,a^{2} b^{3} d^{2} e^{3}-20 A a \,b^{4} d^{3} e^{2}+5 A \,b^{5} d^{4} e +6 B \,a^{5} e^{5}-35 B \,a^{4} b d \,e^{4}+80 B \,a^{3} b^{2} d^{2} e^{3}-90 B \,a^{2} b^{3} d^{3} e^{2}+50 B a \,b^{4} d^{4} e -11 B \,b^{5} d^{5}\right) b^{5}}{4 \left(e x +d \right)^{8} e^{12}}-\frac{14 \left(6 A \,a^{5} b \,e^{6}-30 A \,a^{4} b^{2} d \,e^{5}+60 A \,a^{3} b^{3} d^{2} e^{4}-60 A \,a^{2} b^{4} d^{3} e^{3}+30 A a \,b^{5} d^{4} e^{2}-6 A \,b^{6} d^{5} e +5 B \,a^{6} e^{6}-36 B \,a^{5} b d \,e^{5}+105 B \,a^{4} b^{2} d^{2} e^{4}-160 B \,a^{3} b^{3} d^{3} e^{3}+135 B \,a^{2} b^{4} d^{4} e^{2}-60 B a \,b^{5} d^{5} e +11 B \,b^{6} d^{6}\right) b^{4}}{3 \left(e x +d \right)^{9} e^{12}}-\frac{3 \left(7 A \,a^{6} b \,e^{7}-42 A \,a^{5} b^{2} d \,e^{6}+105 A \,a^{4} b^{3} d^{2} e^{5}-140 A \,a^{3} b^{4} d^{3} e^{4}+105 A \,a^{2} b^{5} d^{4} e^{3}-42 A a \,b^{6} d^{5} e^{2}+7 A \,b^{7} d^{6} e +4 B \,a^{7} e^{7}-35 B \,a^{6} b d \,e^{6}+126 B \,a^{5} b^{2} d^{2} e^{5}-245 B \,a^{4} b^{3} d^{3} e^{4}+280 B \,a^{3} b^{4} d^{4} e^{3}-189 B \,a^{2} b^{5} d^{5} e^{2}+70 B a \,b^{6} d^{6} e -11 B \,b^{7} d^{7}\right) b^{3}}{\left(e x +d \right)^{10} e^{12}}-\frac{15 \left(8 A \,a^{7} b \,e^{8}-56 A \,a^{6} b^{2} d \,e^{7}+168 A \,a^{5} b^{3} d^{2} e^{6}-280 A \,a^{4} b^{4} d^{3} e^{5}+280 A \,a^{3} b^{5} d^{4} e^{4}-168 A \,a^{2} b^{6} d^{5} e^{3}+56 A a \,b^{7} d^{6} e^{2}-8 A \,b^{8} d^{7} e +3 B \,a^{8} e^{8}-32 B \,a^{7} b d \,e^{7}+140 B \,a^{6} b^{2} d^{2} e^{6}-336 B \,a^{5} b^{3} d^{3} e^{5}+490 B \,a^{4} b^{4} d^{4} e^{4}-448 B \,a^{3} b^{5} d^{5} e^{3}+252 B \,a^{2} b^{6} d^{6} e^{2}-80 B a \,b^{7} d^{7} e +11 B \,b^{8} d^{8}\right) b^{2}}{11 \left(e x +d \right)^{11} e^{12}}-\frac{5 \left(9 A \,a^{8} b \,e^{9}-72 A \,a^{7} b^{2} d \,e^{8}+252 A \,a^{6} b^{3} d^{2} e^{7}-504 A \,a^{5} b^{4} d^{3} e^{6}+630 A \,a^{4} b^{5} d^{4} e^{5}-504 A \,a^{3} b^{6} d^{5} e^{4}+252 A \,a^{2} b^{7} d^{6} e^{3}-72 A a \,b^{8} d^{7} e^{2}+9 A \,b^{9} d^{8} e +2 B \,a^{9} e^{9}-27 B \,a^{8} b d \,e^{8}+144 B \,a^{7} b^{2} d^{2} e^{7}-420 B \,a^{6} b^{3} d^{3} e^{6}+756 B \,a^{5} b^{4} d^{4} e^{5}-882 B \,a^{4} b^{5} d^{5} e^{4}+672 B \,a^{3} b^{6} d^{6} e^{3}-324 B \,a^{2} b^{7} d^{7} e^{2}+90 B a \,b^{8} d^{8} e -11 B \,b^{9} d^{9}\right) b}{12 \left(e x +d \right)^{12} e^{12}}-\frac{10 A \,a^{9} b \,e^{10}-90 A d \,a^{8} b^{2} e^{9}+360 A \,d^{2} a^{7} b^{3} e^{8}-840 A \,d^{3} a^{6} b^{4} e^{7}+1260 A \,d^{4} a^{5} b^{5} e^{6}-1260 A \,d^{5} a^{4} b^{6} e^{5}+840 A \,d^{6} a^{3} b^{7} e^{4}-360 A \,d^{7} a^{2} b^{8} e^{3}+90 A \,d^{8} a \,b^{9} e^{2}-10 A \,d^{9} b^{10} e +a^{10} B \,e^{10}-20 B d \,a^{9} b \,e^{9}+135 B \,d^{2} a^{8} b^{2} e^{8}-480 B \,d^{3} a^{7} b^{3} e^{7}+1050 B \,d^{4} a^{6} b^{4} e^{6}-1512 B \,d^{5} a^{5} b^{5} e^{5}+1470 B \,d^{6} a^{4} b^{6} e^{4}-960 B \,d^{7} a^{3} b^{7} e^{3}+405 B \,d^{8} a^{2} b^{8} e^{2}-100 B \,d^{9} a \,b^{9} e +11 b^{10} B \,d^{10}}{13 \left(e x +d \right)^{13} e^{12}}-\frac{a^{10} A \,e^{11}-10 A d \,a^{9} b \,e^{10}+45 A \,d^{2} a^{8} b^{2} e^{9}-120 A \,d^{3} a^{7} b^{3} e^{8}+210 A \,d^{4} a^{6} b^{4} e^{7}-252 A \,d^{5} a^{5} b^{5} e^{6}+210 A \,d^{6} a^{4} b^{6} e^{5}-120 A \,d^{7} a^{3} b^{7} e^{4}+45 A \,d^{8} a^{2} b^{8} e^{3}-10 A \,d^{9} a \,b^{9} e^{2}+A \,d^{10} b^{10} e -B d \,a^{10} e^{10}+10 B \,d^{2} a^{9} b \,e^{9}-45 B \,d^{3} a^{8} b^{2} e^{8}+120 B \,d^{4} a^{7} b^{3} e^{7}-210 B \,d^{5} a^{6} b^{4} e^{6}+252 B \,d^{6} a^{5} b^{5} e^{5}-210 B \,d^{7} a^{4} b^{6} e^{4}+120 B \,d^{8} a^{3} b^{7} e^{3}-45 B \,d^{9} a^{2} b^{8} e^{2}+10 B \,d^{10} a \,b^{9} e -b^{10} B \,d^{11}}{14 \left(e x +d \right)^{14} e^{12}}"," 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1104,1,1942,225,0.010000," ","int((b*x+a)^10*(B*x+A)/(e*x+d)^16,x)","-\frac{B \,b^{10}}{4 \left(e x +d \right)^{4} e^{12}}-\frac{\left(A b e +10 B a e -11 B b d \right) b^{9}}{5 \left(e x +d \right)^{5} e^{12}}-\frac{5 \left(2 A a b \,e^{2}-2 A \,b^{2} d e +9 B \,a^{2} e^{2}-20 B a b d e +11 B \,b^{2} d^{2}\right) b^{8}}{6 \left(e x +d \right)^{6} e^{12}}-\frac{15 \left(3 A \,a^{2} b \,e^{3}-6 A a \,b^{2} d \,e^{2}+3 A \,b^{3} d^{2} e +8 B \,a^{3} e^{3}-27 B \,a^{2} b d \,e^{2}+30 B a \,b^{2} d^{2} e -11 B \,b^{3} d^{3}\right) b^{7}}{7 \left(e x +d \right)^{7} e^{12}}-\frac{15 \left(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 +7 B \,a^{4} e^{4}-32 B \,a^{3} b d \,e^{3}+54 B \,a^{2} b^{2} d^{2} e^{2}-40 B a \,b^{3} d^{3} e +11 B \,b^{4} d^{4}\right) b^{6}}{4 \left(e x +d \right)^{8} e^{12}}-\frac{14 \left(5 A \,a^{4} b \,e^{5}-20 A \,a^{3} b^{2} d \,e^{4}+30 A \,a^{2} b^{3} d^{2} e^{3}-20 A a \,b^{4} d^{3} e^{2}+5 A \,b^{5} d^{4} e +6 B \,a^{5} e^{5}-35 B \,a^{4} b d \,e^{4}+80 B \,a^{3} b^{2} d^{2} e^{3}-90 B \,a^{2} b^{3} d^{3} e^{2}+50 B a \,b^{4} d^{4} e -11 B \,b^{5} d^{5}\right) b^{5}}{3 \left(e x +d \right)^{9} e^{12}}-\frac{21 \left(6 A \,a^{5} b \,e^{6}-30 A \,a^{4} b^{2} d \,e^{5}+60 A \,a^{3} b^{3} d^{2} e^{4}-60 A \,a^{2} b^{4} d^{3} e^{3}+30 A a \,b^{5} d^{4} e^{2}-6 A \,b^{6} d^{5} e +5 B \,a^{6} e^{6}-36 B \,a^{5} b d \,e^{5}+105 B \,a^{4} b^{2} d^{2} e^{4}-160 B \,a^{3} b^{3} d^{3} e^{3}+135 B \,a^{2} b^{4} d^{4} e^{2}-60 B a \,b^{5} d^{5} e +11 B \,b^{6} d^{6}\right) b^{4}}{5 \left(e x +d \right)^{10} e^{12}}-\frac{30 \left(7 A \,a^{6} b \,e^{7}-42 A \,a^{5} b^{2} d \,e^{6}+105 A \,a^{4} b^{3} d^{2} e^{5}-140 A \,a^{3} b^{4} d^{3} e^{4}+105 A \,a^{2} b^{5} d^{4} e^{3}-42 A a \,b^{6} d^{5} e^{2}+7 A \,b^{7} d^{6} e +4 B \,a^{7} e^{7}-35 B \,a^{6} b d \,e^{6}+126 B \,a^{5} b^{2} d^{2} e^{5}-245 B \,a^{4} b^{3} d^{3} e^{4}+280 B \,a^{3} b^{4} d^{4} e^{3}-189 B \,a^{2} b^{5} d^{5} e^{2}+70 B a \,b^{6} d^{6} e -11 B \,b^{7} d^{7}\right) b^{3}}{11 \left(e x +d \right)^{11} e^{12}}-\frac{5 \left(8 A \,a^{7} b \,e^{8}-56 A \,a^{6} b^{2} d \,e^{7}+168 A \,a^{5} b^{3} d^{2} e^{6}-280 A \,a^{4} b^{4} d^{3} e^{5}+280 A \,a^{3} b^{5} d^{4} e^{4}-168 A \,a^{2} b^{6} d^{5} e^{3}+56 A a \,b^{7} d^{6} e^{2}-8 A \,b^{8} d^{7} e +3 B \,a^{8} e^{8}-32 B \,a^{7} b d \,e^{7}+140 B \,a^{6} b^{2} d^{2} e^{6}-336 B \,a^{5} b^{3} d^{3} e^{5}+490 B \,a^{4} b^{4} d^{4} e^{4}-448 B \,a^{3} b^{5} d^{5} e^{3}+252 B \,a^{2} b^{6} d^{6} e^{2}-80 B a \,b^{7} d^{7} e +11 B \,b^{8} d^{8}\right) b^{2}}{4 \left(e x +d \right)^{12} e^{12}}-\frac{5 \left(9 A \,a^{8} b \,e^{9}-72 A \,a^{7} b^{2} d \,e^{8}+252 A \,a^{6} b^{3} d^{2} e^{7}-504 A \,a^{5} b^{4} d^{3} e^{6}+630 A \,a^{4} b^{5} d^{4} e^{5}-504 A \,a^{3} b^{6} d^{5} e^{4}+252 A \,a^{2} b^{7} d^{6} e^{3}-72 A a \,b^{8} d^{7} e^{2}+9 A \,b^{9} d^{8} e +2 B \,a^{9} e^{9}-27 B \,a^{8} b d \,e^{8}+144 B \,a^{7} b^{2} d^{2} e^{7}-420 B \,a^{6} b^{3} d^{3} e^{6}+756 B \,a^{5} b^{4} d^{4} e^{5}-882 B \,a^{4} b^{5} d^{5} e^{4}+672 B \,a^{3} b^{6} d^{6} e^{3}-324 B \,a^{2} b^{7} d^{7} e^{2}+90 B a \,b^{8} d^{8} e -11 B \,b^{9} d^{9}\right) b}{13 \left(e x +d \right)^{13} e^{12}}-\frac{a^{10} A \,e^{11}-10 A d \,a^{9} b \,e^{10}+45 A \,d^{2} a^{8} b^{2} e^{9}-120 A \,d^{3} a^{7} b^{3} e^{8}+210 A \,d^{4} a^{6} b^{4} e^{7}-252 A \,d^{5} a^{5} b^{5} e^{6}+210 A \,d^{6} a^{4} b^{6} e^{5}-120 A \,d^{7} a^{3} b^{7} e^{4}+45 A \,d^{8} a^{2} b^{8} e^{3}-10 A \,d^{9} a \,b^{9} e^{2}+A \,d^{10} b^{10} e -B d \,a^{10} e^{10}+10 B \,d^{2} a^{9} b \,e^{9}-45 B \,d^{3} a^{8} b^{2} e^{8}+120 B \,d^{4} a^{7} b^{3} e^{7}-210 B \,d^{5} a^{6} b^{4} e^{6}+252 B \,d^{6} a^{5} b^{5} e^{5}-210 B \,d^{7} a^{4} b^{6} e^{4}+120 B \,d^{8} a^{3} b^{7} e^{3}-45 B \,d^{9} a^{2} b^{8} e^{2}+10 B \,d^{10} a \,b^{9} e -b^{10} B \,d^{11}}{15 \left(e x +d \right)^{15} e^{12}}-\frac{10 A \,a^{9} b \,e^{10}-90 A d \,a^{8} b^{2} e^{9}+360 A \,d^{2} a^{7} b^{3} e^{8}-840 A \,d^{3} a^{6} b^{4} e^{7}+1260 A \,d^{4} a^{5} b^{5} e^{6}-1260 A \,d^{5} a^{4} b^{6} e^{5}+840 A \,d^{6} a^{3} b^{7} e^{4}-360 A \,d^{7} a^{2} b^{8} e^{3}+90 A \,d^{8} a \,b^{9} e^{2}-10 A \,d^{9} b^{10} e +a^{10} B \,e^{10}-20 B d \,a^{9} b \,e^{9}+135 B \,d^{2} a^{8} b^{2} e^{8}-480 B \,d^{3} a^{7} b^{3} e^{7}+1050 B \,d^{4} a^{6} b^{4} e^{6}-1512 B \,d^{5} a^{5} b^{5} e^{5}+1470 B \,d^{6} a^{4} b^{6} e^{4}-960 B \,d^{7} a^{3} b^{7} e^{3}+405 B \,d^{8} a^{2} b^{8} e^{2}-100 B \,d^{9} a \,b^{9} e +11 b^{10} B \,d^{10}}{14 \left(e x +d \right)^{14} e^{12}}"," ",0,"-1/4*B*b^10/e^12/(e*x+d)^4-1/5*b^9*(A*b*e+10*B*a*e-11*B*b*d)/e^12/(e*x+d)^5-1/15*(A*a^10*e^11-10*A*a^9*b*d*e^10+45*A*a^8*b^2*d^2*e^9-120*A*a^7*b^3*d^3*e^8+210*A*a^6*b^4*d^4*e^7-252*A*a^5*b^5*d^5*e^6+210*A*a^4*b^6*d^6*e^5-120*A*a^3*b^7*d^7*e^4+45*A*a^2*b^8*d^8*e^3-10*A*a*b^9*d^9*e^2+A*b^10*d^10*e-B*a^10*d*e^10+10*B*a^9*b*d^2*e^9-45*B*a^8*b^2*d^3*e^8+120*B*a^7*b^3*d^4*e^7-210*B*a^6*b^4*d^5*e^6+252*B*a^5*b^5*d^6*e^5-210*B*a^4*b^6*d^7*e^4+120*B*a^3*b^7*d^8*e^3-45*B*a^2*b^8*d^9*e^2+10*B*a*b^9*d^10*e-B*b^10*d^11)/e^12/(e*x+d)^15-5/13*b*(9*A*a^8*b*e^9-72*A*a^7*b^2*d*e^8+252*A*a^6*b^3*d^2*e^7-504*A*a^5*b^4*d^3*e^6+630*A*a^4*b^5*d^4*e^5-504*A*a^3*b^6*d^5*e^4+252*A*a^2*b^7*d^6*e^3-72*A*a*b^8*d^7*e^2+9*A*b^9*d^8*e+2*B*a^9*e^9-27*B*a^8*b*d*e^8+144*B*a^7*b^2*d^2*e^7-420*B*a^6*b^3*d^3*e^6+756*B*a^5*b^4*d^4*e^5-882*B*a^4*b^5*d^5*e^4+672*B*a^3*b^6*d^6*e^3-324*B*a^2*b^7*d^7*e^2+90*B*a*b^8*d^8*e-11*B*b^9*d^9)/e^12/(e*x+d)^13-1/14*(10*A*a^9*b*e^10-90*A*a^8*b^2*d*e^9+360*A*a^7*b^3*d^2*e^8-840*A*a^6*b^4*d^3*e^7+1260*A*a^5*b^5*d^4*e^6-1260*A*a^4*b^6*d^5*e^5+840*A*a^3*b^7*d^6*e^4-360*A*a^2*b^8*d^7*e^3+90*A*a*b^9*d^8*e^2-10*A*b^10*d^9*e+B*a^10*e^10-20*B*a^9*b*d*e^9+135*B*a^8*b^2*d^2*e^8-480*B*a^7*b^3*d^3*e^7+1050*B*a^6*b^4*d^4*e^6-1512*B*a^5*b^5*d^5*e^5+1470*B*a^4*b^6*d^6*e^4-960*B*a^3*b^7*d^7*e^3+405*B*a^2*b^8*d^8*e^2-100*B*a*b^9*d^9*e+11*B*b^10*d^10)/e^12/(e*x+d)^14-15/4*b^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+7*B*a^4*e^4-32*B*a^3*b*d*e^3+54*B*a^2*b^2*d^2*e^2-40*B*a*b^3*d^3*e+11*B*b^4*d^4)/e^12/(e*x+d)^8-5/4*b^2*(8*A*a^7*b*e^8-56*A*a^6*b^2*d*e^7+168*A*a^5*b^3*d^2*e^6-280*A*a^4*b^4*d^3*e^5+280*A*a^3*b^5*d^4*e^4-168*A*a^2*b^6*d^5*e^3+56*A*a*b^7*d^6*e^2-8*A*b^8*d^7*e+3*B*a^8*e^8-32*B*a^7*b*d*e^7+140*B*a^6*b^2*d^2*e^6-336*B*a^5*b^3*d^3*e^5+490*B*a^4*b^4*d^4*e^4-448*B*a^3*b^5*d^5*e^3+252*B*a^2*b^6*d^6*e^2-80*B*a*b^7*d^7*e+11*B*b^8*d^8)/e^12/(e*x+d)^12-30/11*b^3*(7*A*a^6*b*e^7-42*A*a^5*b^2*d*e^6+105*A*a^4*b^3*d^2*e^5-140*A*a^3*b^4*d^3*e^4+105*A*a^2*b^5*d^4*e^3-42*A*a*b^6*d^5*e^2+7*A*b^7*d^6*e+4*B*a^7*e^7-35*B*a^6*b*d*e^6+126*B*a^5*b^2*d^2*e^5-245*B*a^4*b^3*d^3*e^4+280*B*a^3*b^4*d^4*e^3-189*B*a^2*b^5*d^5*e^2+70*B*a*b^6*d^6*e-11*B*b^7*d^7)/e^12/(e*x+d)^11-21/5*b^4*(6*A*a^5*b*e^6-30*A*a^4*b^2*d*e^5+60*A*a^3*b^3*d^2*e^4-60*A*a^2*b^4*d^3*e^3+30*A*a*b^5*d^4*e^2-6*A*b^6*d^5*e+5*B*a^6*e^6-36*B*a^5*b*d*e^5+105*B*a^4*b^2*d^2*e^4-160*B*a^3*b^3*d^3*e^3+135*B*a^2*b^4*d^4*e^2-60*B*a*b^5*d^5*e+11*B*b^6*d^6)/e^12/(e*x+d)^10-14/3*b^5*(5*A*a^4*b*e^5-20*A*a^3*b^2*d*e^4+30*A*a^2*b^3*d^2*e^3-20*A*a*b^4*d^3*e^2+5*A*b^5*d^4*e+6*B*a^5*e^5-35*B*a^4*b*d*e^4+80*B*a^3*b^2*d^2*e^3-90*B*a^2*b^3*d^3*e^2+50*B*a*b^4*d^4*e-11*B*b^5*d^5)/e^12/(e*x+d)^9-5/6*b^8*(2*A*a*b*e^2-2*A*b^2*d*e+9*B*a^2*e^2-20*B*a*b*d*e+11*B*b^2*d^2)/e^12/(e*x+d)^6-15/7*b^7*(3*A*a^2*b*e^3-6*A*a*b^2*d*e^2+3*A*b^3*d^2*e+8*B*a^3*e^3-27*B*a^2*b*d*e^2+30*B*a*b^2*d^2*e-11*B*b^3*d^3)/e^12/(e*x+d)^7","B"
1105,1,1942,273,0.010000," ","int((b*x+a)^10*(B*x+A)/(e*x+d)^17,x)","-\frac{B \,b^{10}}{5 \left(e x +d \right)^{5} e^{12}}-\frac{\left(A b e +10 B a e -11 B b d \right) b^{9}}{6 \left(e x +d \right)^{6} e^{12}}-\frac{5 \left(2 A a b \,e^{2}-2 A \,b^{2} d e +9 B \,a^{2} e^{2}-20 B a b d e +11 B \,b^{2} d^{2}\right) b^{8}}{7 \left(e x +d \right)^{7} e^{12}}-\frac{15 \left(3 A \,a^{2} b \,e^{3}-6 A a \,b^{2} d \,e^{2}+3 A \,b^{3} d^{2} e +8 B \,a^{3} e^{3}-27 B \,a^{2} b d \,e^{2}+30 B a \,b^{2} d^{2} e -11 B \,b^{3} d^{3}\right) b^{7}}{8 \left(e x +d \right)^{8} e^{12}}-\frac{10 \left(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 +7 B \,a^{4} e^{4}-32 B \,a^{3} b d \,e^{3}+54 B \,a^{2} b^{2} d^{2} e^{2}-40 B a \,b^{3} d^{3} e +11 B \,b^{4} d^{4}\right) b^{6}}{3 \left(e x +d \right)^{9} e^{12}}-\frac{21 \left(5 A \,a^{4} b \,e^{5}-20 A \,a^{3} b^{2} d \,e^{4}+30 A \,a^{2} b^{3} d^{2} e^{3}-20 A a \,b^{4} d^{3} e^{2}+5 A \,b^{5} d^{4} e +6 B \,a^{5} e^{5}-35 B \,a^{4} b d \,e^{4}+80 B \,a^{3} b^{2} d^{2} e^{3}-90 B \,a^{2} b^{3} d^{3} e^{2}+50 B a \,b^{4} d^{4} e -11 B \,b^{5} d^{5}\right) b^{5}}{5 \left(e x +d \right)^{10} e^{12}}-\frac{42 \left(6 A \,a^{5} b \,e^{6}-30 A \,a^{4} b^{2} d \,e^{5}+60 A \,a^{3} b^{3} d^{2} e^{4}-60 A \,a^{2} b^{4} d^{3} e^{3}+30 A a \,b^{5} d^{4} e^{2}-6 A \,b^{6} d^{5} e +5 B \,a^{6} e^{6}-36 B \,a^{5} b d \,e^{5}+105 B \,a^{4} b^{2} d^{2} e^{4}-160 B \,a^{3} b^{3} d^{3} e^{3}+135 B \,a^{2} b^{4} d^{4} e^{2}-60 B a \,b^{5} d^{5} e +11 B \,b^{6} d^{6}\right) b^{4}}{11 \left(e x +d \right)^{11} e^{12}}-\frac{5 \left(7 A \,a^{6} b \,e^{7}-42 A \,a^{5} b^{2} d \,e^{6}+105 A \,a^{4} b^{3} d^{2} e^{5}-140 A \,a^{3} b^{4} d^{3} e^{4}+105 A \,a^{2} b^{5} d^{4} e^{3}-42 A a \,b^{6} d^{5} e^{2}+7 A \,b^{7} d^{6} e +4 B \,a^{7} e^{7}-35 B \,a^{6} b d \,e^{6}+126 B \,a^{5} b^{2} d^{2} e^{5}-245 B \,a^{4} b^{3} d^{3} e^{4}+280 B \,a^{3} b^{4} d^{4} e^{3}-189 B \,a^{2} b^{5} d^{5} e^{2}+70 B a \,b^{6} d^{6} e -11 B \,b^{7} d^{7}\right) b^{3}}{2 \left(e x +d \right)^{12} e^{12}}-\frac{15 \left(8 A \,a^{7} b \,e^{8}-56 A \,a^{6} b^{2} d \,e^{7}+168 A \,a^{5} b^{3} d^{2} e^{6}-280 A \,a^{4} b^{4} d^{3} e^{5}+280 A \,a^{3} b^{5} d^{4} e^{4}-168 A \,a^{2} b^{6} d^{5} e^{3}+56 A a \,b^{7} d^{6} e^{2}-8 A \,b^{8} d^{7} e +3 B \,a^{8} e^{8}-32 B \,a^{7} b d \,e^{7}+140 B \,a^{6} b^{2} d^{2} e^{6}-336 B \,a^{5} b^{3} d^{3} e^{5}+490 B \,a^{4} b^{4} d^{4} e^{4}-448 B \,a^{3} b^{5} d^{5} e^{3}+252 B \,a^{2} b^{6} d^{6} e^{2}-80 B a \,b^{7} d^{7} e +11 B \,b^{8} d^{8}\right) b^{2}}{13 \left(e x +d \right)^{13} e^{12}}-\frac{5 \left(9 A \,a^{8} b \,e^{9}-72 A \,a^{7} b^{2} d \,e^{8}+252 A \,a^{6} b^{3} d^{2} e^{7}-504 A \,a^{5} b^{4} d^{3} e^{6}+630 A \,a^{4} b^{5} d^{4} e^{5}-504 A \,a^{3} b^{6} d^{5} e^{4}+252 A \,a^{2} b^{7} d^{6} e^{3}-72 A a \,b^{8} d^{7} e^{2}+9 A \,b^{9} d^{8} e +2 B \,a^{9} e^{9}-27 B \,a^{8} b d \,e^{8}+144 B \,a^{7} b^{2} d^{2} e^{7}-420 B \,a^{6} b^{3} d^{3} e^{6}+756 B \,a^{5} b^{4} d^{4} e^{5}-882 B \,a^{4} b^{5} d^{5} e^{4}+672 B \,a^{3} b^{6} d^{6} e^{3}-324 B \,a^{2} b^{7} d^{7} e^{2}+90 B a \,b^{8} d^{8} e -11 B \,b^{9} d^{9}\right) b}{14 \left(e x +d \right)^{14} e^{12}}-\frac{10 A \,a^{9} b \,e^{10}-90 A d \,a^{8} b^{2} e^{9}+360 A \,d^{2} a^{7} b^{3} e^{8}-840 A \,d^{3} a^{6} b^{4} e^{7}+1260 A \,d^{4} a^{5} b^{5} e^{6}-1260 A \,d^{5} a^{4} b^{6} e^{5}+840 A \,d^{6} a^{3} b^{7} e^{4}-360 A \,d^{7} a^{2} b^{8} e^{3}+90 A \,d^{8} a \,b^{9} e^{2}-10 A \,d^{9} b^{10} e +a^{10} B \,e^{10}-20 B d \,a^{9} b \,e^{9}+135 B \,d^{2} a^{8} b^{2} e^{8}-480 B \,d^{3} a^{7} b^{3} e^{7}+1050 B \,d^{4} a^{6} b^{4} e^{6}-1512 B \,d^{5} a^{5} b^{5} e^{5}+1470 B \,d^{6} a^{4} b^{6} e^{4}-960 B \,d^{7} a^{3} b^{7} e^{3}+405 B \,d^{8} a^{2} b^{8} e^{2}-100 B \,d^{9} a \,b^{9} e +11 b^{10} B \,d^{10}}{15 \left(e x +d \right)^{15} e^{12}}-\frac{a^{10} A \,e^{11}-10 A d \,a^{9} b \,e^{10}+45 A \,d^{2} a^{8} b^{2} e^{9}-120 A \,d^{3} a^{7} b^{3} e^{8}+210 A \,d^{4} a^{6} b^{4} e^{7}-252 A \,d^{5} a^{5} b^{5} e^{6}+210 A \,d^{6} a^{4} b^{6} e^{5}-120 A \,d^{7} a^{3} b^{7} e^{4}+45 A \,d^{8} a^{2} b^{8} e^{3}-10 A \,d^{9} a \,b^{9} e^{2}+A \,d^{10} b^{10} e -B d \,a^{10} e^{10}+10 B \,d^{2} a^{9} b \,e^{9}-45 B \,d^{3} a^{8} b^{2} e^{8}+120 B \,d^{4} a^{7} b^{3} e^{7}-210 B \,d^{5} a^{6} b^{4} e^{6}+252 B \,d^{6} a^{5} b^{5} e^{5}-210 B \,d^{7} a^{4} b^{6} e^{4}+120 B \,d^{8} a^{3} b^{7} e^{3}-45 B \,d^{9} a^{2} b^{8} e^{2}+10 B \,d^{10} a \,b^{9} e -b^{10} B \,d^{11}}{16 \left(e x +d \right)^{16} e^{12}}"," 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1106,1,1942,321,0.011000," ","int((b*x+a)^10*(B*x+A)/(e*x+d)^18,x)","-\frac{B \,b^{10}}{6 \left(e x +d \right)^{6} e^{12}}-\frac{\left(A b e +10 B a e -11 B b d \right) b^{9}}{7 \left(e x +d \right)^{7} e^{12}}-\frac{5 \left(2 A a b \,e^{2}-2 A \,b^{2} d e +9 B \,a^{2} e^{2}-20 B a b d e +11 B \,b^{2} d^{2}\right) b^{8}}{8 \left(e x +d \right)^{8} e^{12}}-\frac{5 \left(3 A \,a^{2} b \,e^{3}-6 A a \,b^{2} d \,e^{2}+3 A \,b^{3} d^{2} e +8 B \,a^{3} e^{3}-27 B \,a^{2} b d \,e^{2}+30 B a \,b^{2} d^{2} e -11 B \,b^{3} d^{3}\right) b^{7}}{3 \left(e x +d \right)^{9} e^{12}}-\frac{3 \left(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 +7 B \,a^{4} e^{4}-32 B \,a^{3} b d \,e^{3}+54 B \,a^{2} b^{2} d^{2} e^{2}-40 B a \,b^{3} d^{3} e +11 B \,b^{4} d^{4}\right) b^{6}}{\left(e x +d \right)^{10} e^{12}}-\frac{42 \left(5 A \,a^{4} b \,e^{5}-20 A \,a^{3} b^{2} d \,e^{4}+30 A \,a^{2} b^{3} d^{2} e^{3}-20 A a \,b^{4} d^{3} e^{2}+5 A \,b^{5} d^{4} e +6 B \,a^{5} e^{5}-35 B \,a^{4} b d \,e^{4}+80 B \,a^{3} b^{2} d^{2} e^{3}-90 B \,a^{2} b^{3} d^{3} e^{2}+50 B a \,b^{4} d^{4} e -11 B \,b^{5} d^{5}\right) b^{5}}{11 \left(e x +d \right)^{11} e^{12}}-\frac{7 \left(6 A \,a^{5} b \,e^{6}-30 A \,a^{4} b^{2} d \,e^{5}+60 A \,a^{3} b^{3} d^{2} e^{4}-60 A \,a^{2} b^{4} d^{3} e^{3}+30 A a \,b^{5} d^{4} e^{2}-6 A \,b^{6} d^{5} e +5 B \,a^{6} e^{6}-36 B \,a^{5} b d \,e^{5}+105 B \,a^{4} b^{2} d^{2} e^{4}-160 B \,a^{3} b^{3} d^{3} e^{3}+135 B \,a^{2} b^{4} d^{4} e^{2}-60 B a \,b^{5} d^{5} e +11 B \,b^{6} d^{6}\right) b^{4}}{2 \left(e x +d \right)^{12} e^{12}}-\frac{30 \left(7 A \,a^{6} b \,e^{7}-42 A \,a^{5} b^{2} d \,e^{6}+105 A \,a^{4} b^{3} d^{2} e^{5}-140 A \,a^{3} b^{4} d^{3} e^{4}+105 A \,a^{2} b^{5} d^{4} e^{3}-42 A a \,b^{6} d^{5} e^{2}+7 A \,b^{7} d^{6} e +4 B \,a^{7} e^{7}-35 B \,a^{6} b d \,e^{6}+126 B \,a^{5} b^{2} d^{2} e^{5}-245 B \,a^{4} b^{3} d^{3} e^{4}+280 B \,a^{3} b^{4} d^{4} e^{3}-189 B \,a^{2} b^{5} d^{5} e^{2}+70 B a \,b^{6} d^{6} e -11 B \,b^{7} d^{7}\right) b^{3}}{13 \left(e x +d \right)^{13} e^{12}}-\frac{15 \left(8 A \,a^{7} b \,e^{8}-56 A \,a^{6} b^{2} d \,e^{7}+168 A \,a^{5} b^{3} d^{2} e^{6}-280 A \,a^{4} b^{4} d^{3} e^{5}+280 A \,a^{3} b^{5} d^{4} e^{4}-168 A \,a^{2} b^{6} d^{5} e^{3}+56 A a \,b^{7} d^{6} e^{2}-8 A \,b^{8} d^{7} e +3 B \,a^{8} e^{8}-32 B \,a^{7} b d \,e^{7}+140 B \,a^{6} b^{2} d^{2} e^{6}-336 B \,a^{5} b^{3} d^{3} e^{5}+490 B \,a^{4} b^{4} d^{4} e^{4}-448 B \,a^{3} b^{5} d^{5} e^{3}+252 B \,a^{2} b^{6} d^{6} e^{2}-80 B a \,b^{7} d^{7} e +11 B \,b^{8} d^{8}\right) b^{2}}{14 \left(e x +d \right)^{14} e^{12}}-\frac{\left(9 A \,a^{8} b \,e^{9}-72 A \,a^{7} b^{2} d \,e^{8}+252 A \,a^{6} b^{3} d^{2} e^{7}-504 A \,a^{5} b^{4} d^{3} e^{6}+630 A \,a^{4} b^{5} d^{4} e^{5}-504 A \,a^{3} b^{6} d^{5} e^{4}+252 A \,a^{2} b^{7} d^{6} e^{3}-72 A a \,b^{8} d^{7} e^{2}+9 A \,b^{9} d^{8} e +2 B \,a^{9} e^{9}-27 B \,a^{8} b d \,e^{8}+144 B \,a^{7} b^{2} d^{2} e^{7}-420 B \,a^{6} b^{3} d^{3} e^{6}+756 B \,a^{5} b^{4} d^{4} e^{5}-882 B \,a^{4} b^{5} d^{5} e^{4}+672 B \,a^{3} b^{6} d^{6} e^{3}-324 B \,a^{2} b^{7} d^{7} e^{2}+90 B a \,b^{8} d^{8} e -11 B \,b^{9} d^{9}\right) b}{3 \left(e x +d \right)^{15} e^{12}}-\frac{a^{10} A \,e^{11}-10 A d \,a^{9} b \,e^{10}+45 A \,d^{2} a^{8} b^{2} e^{9}-120 A \,d^{3} a^{7} b^{3} e^{8}+210 A \,d^{4} a^{6} b^{4} e^{7}-252 A \,d^{5} a^{5} b^{5} e^{6}+210 A \,d^{6} a^{4} b^{6} e^{5}-120 A \,d^{7} a^{3} b^{7} e^{4}+45 A \,d^{8} a^{2} b^{8} e^{3}-10 A \,d^{9} a \,b^{9} e^{2}+A \,d^{10} b^{10} e -B d \,a^{10} e^{10}+10 B \,d^{2} a^{9} b \,e^{9}-45 B \,d^{3} a^{8} b^{2} e^{8}+120 B \,d^{4} a^{7} b^{3} e^{7}-210 B \,d^{5} a^{6} b^{4} e^{6}+252 B \,d^{6} a^{5} b^{5} e^{5}-210 B \,d^{7} a^{4} b^{6} e^{4}+120 B \,d^{8} a^{3} b^{7} e^{3}-45 B \,d^{9} a^{2} b^{8} e^{2}+10 B \,d^{10} a \,b^{9} e -b^{10} B \,d^{11}}{17 \left(e x +d \right)^{17} e^{12}}-\frac{10 A \,a^{9} b \,e^{10}-90 A d \,a^{8} b^{2} e^{9}+360 A \,d^{2} a^{7} b^{3} e^{8}-840 A \,d^{3} a^{6} b^{4} e^{7}+1260 A \,d^{4} a^{5} b^{5} e^{6}-1260 A \,d^{5} a^{4} b^{6} e^{5}+840 A \,d^{6} a^{3} b^{7} e^{4}-360 A \,d^{7} a^{2} b^{8} e^{3}+90 A \,d^{8} a \,b^{9} e^{2}-10 A \,d^{9} b^{10} e +a^{10} B \,e^{10}-20 B d \,a^{9} b \,e^{9}+135 B \,d^{2} a^{8} b^{2} e^{8}-480 B \,d^{3} a^{7} b^{3} e^{7}+1050 B \,d^{4} a^{6} b^{4} e^{6}-1512 B \,d^{5} a^{5} b^{5} e^{5}+1470 B \,d^{6} a^{4} b^{6} e^{4}-960 B \,d^{7} a^{3} b^{7} e^{3}+405 B \,d^{8} a^{2} b^{8} e^{2}-100 B \,d^{9} a \,b^{9} e +11 b^{10} B \,d^{10}}{16 \left(e x +d \right)^{16} e^{12}}"," 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1107,1,1942,369,0.010000," ","int((b*x+a)^10*(B*x+A)/(e*x+d)^19,x)","-\frac{B \,b^{10}}{7 \left(e x +d \right)^{7} e^{12}}-\frac{\left(A b e +10 B a e -11 B b d \right) b^{9}}{8 \left(e x +d \right)^{8} e^{12}}-\frac{5 \left(2 A a b \,e^{2}-2 A \,b^{2} d e +9 B \,a^{2} e^{2}-20 B a b d e +11 B \,b^{2} d^{2}\right) b^{8}}{9 \left(e x +d \right)^{9} e^{12}}-\frac{3 \left(3 A \,a^{2} b \,e^{3}-6 A a \,b^{2} d \,e^{2}+3 A \,b^{3} d^{2} e +8 B \,a^{3} e^{3}-27 B \,a^{2} b d \,e^{2}+30 B a \,b^{2} d^{2} e -11 B \,b^{3} d^{3}\right) b^{7}}{2 \left(e x +d \right)^{10} e^{12}}-\frac{30 \left(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 +7 B \,a^{4} e^{4}-32 B \,a^{3} b d \,e^{3}+54 B \,a^{2} b^{2} d^{2} e^{2}-40 B a \,b^{3} d^{3} e +11 B \,b^{4} d^{4}\right) b^{6}}{11 \left(e x +d \right)^{11} e^{12}}-\frac{7 \left(5 A \,a^{4} b \,e^{5}-20 A \,a^{3} b^{2} d \,e^{4}+30 A \,a^{2} b^{3} d^{2} e^{3}-20 A a \,b^{4} d^{3} e^{2}+5 A \,b^{5} d^{4} e +6 B \,a^{5} e^{5}-35 B \,a^{4} b d \,e^{4}+80 B \,a^{3} b^{2} d^{2} e^{3}-90 B \,a^{2} b^{3} d^{3} e^{2}+50 B a \,b^{4} d^{4} e -11 B \,b^{5} d^{5}\right) b^{5}}{2 \left(e x +d \right)^{12} e^{12}}-\frac{42 \left(6 A \,a^{5} b \,e^{6}-30 A \,a^{4} b^{2} d \,e^{5}+60 A \,a^{3} b^{3} d^{2} e^{4}-60 A \,a^{2} b^{4} d^{3} e^{3}+30 A a \,b^{5} d^{4} e^{2}-6 A \,b^{6} d^{5} e +5 B \,a^{6} e^{6}-36 B \,a^{5} b d \,e^{5}+105 B \,a^{4} b^{2} d^{2} e^{4}-160 B \,a^{3} b^{3} d^{3} e^{3}+135 B \,a^{2} b^{4} d^{4} e^{2}-60 B a \,b^{5} d^{5} e +11 B \,b^{6} d^{6}\right) b^{4}}{13 \left(e x +d \right)^{13} e^{12}}-\frac{15 \left(7 A \,a^{6} b \,e^{7}-42 A \,a^{5} b^{2} d \,e^{6}+105 A \,a^{4} b^{3} d^{2} e^{5}-140 A \,a^{3} b^{4} d^{3} e^{4}+105 A \,a^{2} b^{5} d^{4} e^{3}-42 A a \,b^{6} d^{5} e^{2}+7 A \,b^{7} d^{6} e +4 B \,a^{7} e^{7}-35 B \,a^{6} b d \,e^{6}+126 B \,a^{5} b^{2} d^{2} e^{5}-245 B \,a^{4} b^{3} d^{3} e^{4}+280 B \,a^{3} b^{4} d^{4} e^{3}-189 B \,a^{2} b^{5} d^{5} e^{2}+70 B a \,b^{6} d^{6} e -11 B \,b^{7} d^{7}\right) b^{3}}{7 \left(e x +d \right)^{14} e^{12}}-\frac{\left(8 A \,a^{7} b \,e^{8}-56 A \,a^{6} b^{2} d \,e^{7}+168 A \,a^{5} b^{3} d^{2} e^{6}-280 A \,a^{4} b^{4} d^{3} e^{5}+280 A \,a^{3} b^{5} d^{4} e^{4}-168 A \,a^{2} b^{6} d^{5} e^{3}+56 A a \,b^{7} d^{6} e^{2}-8 A \,b^{8} d^{7} e +3 B \,a^{8} e^{8}-32 B \,a^{7} b d \,e^{7}+140 B \,a^{6} b^{2} d^{2} e^{6}-336 B \,a^{5} b^{3} d^{3} e^{5}+490 B \,a^{4} b^{4} d^{4} e^{4}-448 B \,a^{3} b^{5} d^{5} e^{3}+252 B \,a^{2} b^{6} d^{6} e^{2}-80 B a \,b^{7} d^{7} e +11 B \,b^{8} d^{8}\right) b^{2}}{\left(e x +d \right)^{15} e^{12}}-\frac{5 \left(9 A \,a^{8} b \,e^{9}-72 A \,a^{7} b^{2} d \,e^{8}+252 A \,a^{6} b^{3} d^{2} e^{7}-504 A \,a^{5} b^{4} d^{3} e^{6}+630 A \,a^{4} b^{5} d^{4} e^{5}-504 A \,a^{3} b^{6} d^{5} e^{4}+252 A \,a^{2} b^{7} d^{6} e^{3}-72 A a \,b^{8} d^{7} e^{2}+9 A \,b^{9} d^{8} e +2 B \,a^{9} e^{9}-27 B \,a^{8} b d \,e^{8}+144 B \,a^{7} b^{2} d^{2} e^{7}-420 B \,a^{6} b^{3} d^{3} e^{6}+756 B \,a^{5} b^{4} d^{4} e^{5}-882 B \,a^{4} b^{5} d^{5} e^{4}+672 B \,a^{3} b^{6} d^{6} e^{3}-324 B \,a^{2} b^{7} d^{7} e^{2}+90 B a \,b^{8} d^{8} e -11 B \,b^{9} d^{9}\right) b}{16 \left(e x +d \right)^{16} e^{12}}-\frac{10 A \,a^{9} b \,e^{10}-90 A d \,a^{8} b^{2} e^{9}+360 A \,d^{2} a^{7} b^{3} e^{8}-840 A \,d^{3} a^{6} b^{4} e^{7}+1260 A \,d^{4} a^{5} b^{5} e^{6}-1260 A \,d^{5} a^{4} b^{6} e^{5}+840 A \,d^{6} a^{3} b^{7} e^{4}-360 A \,d^{7} a^{2} b^{8} e^{3}+90 A \,d^{8} a \,b^{9} e^{2}-10 A \,d^{9} b^{10} e +a^{10} B \,e^{10}-20 B d \,a^{9} b \,e^{9}+135 B \,d^{2} a^{8} b^{2} e^{8}-480 B \,d^{3} a^{7} b^{3} e^{7}+1050 B \,d^{4} a^{6} b^{4} e^{6}-1512 B \,d^{5} a^{5} b^{5} e^{5}+1470 B \,d^{6} a^{4} b^{6} e^{4}-960 B \,d^{7} a^{3} b^{7} e^{3}+405 B \,d^{8} a^{2} b^{8} e^{2}-100 B \,d^{9} a \,b^{9} e +11 b^{10} B \,d^{10}}{17 \left(e x +d \right)^{17} e^{12}}-\frac{a^{10} A \,e^{11}-10 A d \,a^{9} b \,e^{10}+45 A \,d^{2} a^{8} b^{2} e^{9}-120 A \,d^{3} a^{7} b^{3} e^{8}+210 A \,d^{4} a^{6} b^{4} e^{7}-252 A \,d^{5} a^{5} b^{5} e^{6}+210 A \,d^{6} a^{4} b^{6} e^{5}-120 A \,d^{7} a^{3} b^{7} e^{4}+45 A \,d^{8} a^{2} b^{8} e^{3}-10 A \,d^{9} a \,b^{9} e^{2}+A \,d^{10} b^{10} e -B d \,a^{10} e^{10}+10 B \,d^{2} a^{9} b \,e^{9}-45 B \,d^{3} a^{8} b^{2} e^{8}+120 B \,d^{4} a^{7} b^{3} e^{7}-210 B \,d^{5} a^{6} b^{4} e^{6}+252 B \,d^{6} a^{5} b^{5} e^{5}-210 B \,d^{7} a^{4} b^{6} e^{4}+120 B \,d^{8} a^{3} b^{7} e^{3}-45 B \,d^{9} a^{2} b^{8} e^{2}+10 B \,d^{10} a \,b^{9} e -b^{10} B \,d^{11}}{18 \left(e x +d \right)^{18} e^{12}}"," 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1108,1,1942,440,0.010000," ","int((b*x+a)^10*(B*x+A)/(e*x+d)^20,x)","-\frac{B \,b^{10}}{8 \left(e x +d \right)^{8} e^{12}}-\frac{\left(A b e +10 B a e -11 B b d \right) b^{9}}{9 \left(e x +d \right)^{9} e^{12}}-\frac{\left(2 A a b \,e^{2}-2 A \,b^{2} d e +9 B \,a^{2} e^{2}-20 B a b d e +11 B \,b^{2} d^{2}\right) b^{8}}{2 \left(e x +d \right)^{10} e^{12}}-\frac{15 \left(3 A \,a^{2} b \,e^{3}-6 A a \,b^{2} d \,e^{2}+3 A \,b^{3} d^{2} e +8 B \,a^{3} e^{3}-27 B \,a^{2} b d \,e^{2}+30 B a \,b^{2} d^{2} e -11 B \,b^{3} d^{3}\right) b^{7}}{11 \left(e x +d \right)^{11} e^{12}}-\frac{5 \left(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 +7 B \,a^{4} e^{4}-32 B \,a^{3} b d \,e^{3}+54 B \,a^{2} b^{2} d^{2} e^{2}-40 B a \,b^{3} d^{3} e +11 B \,b^{4} d^{4}\right) b^{6}}{2 \left(e x +d \right)^{12} e^{12}}-\frac{42 \left(5 A \,a^{4} b \,e^{5}-20 A \,a^{3} b^{2} d \,e^{4}+30 A \,a^{2} b^{3} d^{2} e^{3}-20 A a \,b^{4} d^{3} e^{2}+5 A \,b^{5} d^{4} e +6 B \,a^{5} e^{5}-35 B \,a^{4} b d \,e^{4}+80 B \,a^{3} b^{2} d^{2} e^{3}-90 B \,a^{2} b^{3} d^{3} e^{2}+50 B a \,b^{4} d^{4} e -11 B \,b^{5} d^{5}\right) b^{5}}{13 \left(e x +d \right)^{13} e^{12}}-\frac{3 \left(6 A \,a^{5} b \,e^{6}-30 A \,a^{4} b^{2} d \,e^{5}+60 A \,a^{3} b^{3} d^{2} e^{4}-60 A \,a^{2} b^{4} d^{3} e^{3}+30 A a \,b^{5} d^{4} e^{2}-6 A \,b^{6} d^{5} e +5 B \,a^{6} e^{6}-36 B \,a^{5} b d \,e^{5}+105 B \,a^{4} b^{2} d^{2} e^{4}-160 B \,a^{3} b^{3} d^{3} e^{3}+135 B \,a^{2} b^{4} d^{4} e^{2}-60 B a \,b^{5} d^{5} e +11 B \,b^{6} d^{6}\right) b^{4}}{\left(e x +d \right)^{14} e^{12}}-\frac{2 \left(7 A \,a^{6} b \,e^{7}-42 A \,a^{5} b^{2} d \,e^{6}+105 A \,a^{4} b^{3} d^{2} e^{5}-140 A \,a^{3} b^{4} d^{3} e^{4}+105 A \,a^{2} b^{5} d^{4} e^{3}-42 A a \,b^{6} d^{5} e^{2}+7 A \,b^{7} d^{6} e +4 B \,a^{7} e^{7}-35 B \,a^{6} b d \,e^{6}+126 B \,a^{5} b^{2} d^{2} e^{5}-245 B \,a^{4} b^{3} d^{3} e^{4}+280 B \,a^{3} b^{4} d^{4} e^{3}-189 B \,a^{2} b^{5} d^{5} e^{2}+70 B a \,b^{6} d^{6} e -11 B \,b^{7} d^{7}\right) b^{3}}{\left(e x +d \right)^{15} e^{12}}-\frac{15 \left(8 A \,a^{7} b \,e^{8}-56 A \,a^{6} b^{2} d \,e^{7}+168 A \,a^{5} b^{3} d^{2} e^{6}-280 A \,a^{4} b^{4} d^{3} e^{5}+280 A \,a^{3} b^{5} d^{4} e^{4}-168 A \,a^{2} b^{6} d^{5} e^{3}+56 A a \,b^{7} d^{6} e^{2}-8 A \,b^{8} d^{7} e +3 B \,a^{8} e^{8}-32 B \,a^{7} b d \,e^{7}+140 B \,a^{6} b^{2} d^{2} e^{6}-336 B \,a^{5} b^{3} d^{3} e^{5}+490 B \,a^{4} b^{4} d^{4} e^{4}-448 B \,a^{3} b^{5} d^{5} e^{3}+252 B \,a^{2} b^{6} d^{6} e^{2}-80 B a \,b^{7} d^{7} e +11 B \,b^{8} d^{8}\right) b^{2}}{16 \left(e x +d \right)^{16} e^{12}}-\frac{5 \left(9 A \,a^{8} b \,e^{9}-72 A \,a^{7} b^{2} d \,e^{8}+252 A \,a^{6} b^{3} d^{2} e^{7}-504 A \,a^{5} b^{4} d^{3} e^{6}+630 A \,a^{4} b^{5} d^{4} e^{5}-504 A \,a^{3} b^{6} d^{5} e^{4}+252 A \,a^{2} b^{7} d^{6} e^{3}-72 A a \,b^{8} d^{7} e^{2}+9 A \,b^{9} d^{8} e +2 B \,a^{9} e^{9}-27 B \,a^{8} b d \,e^{8}+144 B \,a^{7} b^{2} d^{2} e^{7}-420 B \,a^{6} b^{3} d^{3} e^{6}+756 B \,a^{5} b^{4} d^{4} e^{5}-882 B \,a^{4} b^{5} d^{5} e^{4}+672 B \,a^{3} b^{6} d^{6} e^{3}-324 B \,a^{2} b^{7} d^{7} e^{2}+90 B a \,b^{8} d^{8} e -11 B \,b^{9} d^{9}\right) b}{17 \left(e x +d \right)^{17} e^{12}}-\frac{a^{10} A \,e^{11}-10 A d \,a^{9} b \,e^{10}+45 A \,d^{2} a^{8} b^{2} e^{9}-120 A \,d^{3} a^{7} b^{3} e^{8}+210 A \,d^{4} a^{6} b^{4} e^{7}-252 A \,d^{5} a^{5} b^{5} e^{6}+210 A \,d^{6} a^{4} b^{6} e^{5}-120 A \,d^{7} a^{3} b^{7} e^{4}+45 A \,d^{8} a^{2} b^{8} e^{3}-10 A \,d^{9} a \,b^{9} e^{2}+A \,d^{10} b^{10} e -B d \,a^{10} e^{10}+10 B \,d^{2} a^{9} b \,e^{9}-45 B \,d^{3} a^{8} b^{2} e^{8}+120 B \,d^{4} a^{7} b^{3} e^{7}-210 B \,d^{5} a^{6} b^{4} e^{6}+252 B \,d^{6} a^{5} b^{5} e^{5}-210 B \,d^{7} a^{4} b^{6} e^{4}+120 B \,d^{8} a^{3} b^{7} e^{3}-45 B \,d^{9} a^{2} b^{8} e^{2}+10 B \,d^{10} a \,b^{9} e -b^{10} B \,d^{11}}{19 \left(e x +d \right)^{19} e^{12}}-\frac{10 A \,a^{9} b \,e^{10}-90 A d \,a^{8} b^{2} e^{9}+360 A \,d^{2} a^{7} b^{3} e^{8}-840 A \,d^{3} a^{6} b^{4} e^{7}+1260 A \,d^{4} a^{5} b^{5} e^{6}-1260 A \,d^{5} a^{4} b^{6} e^{5}+840 A \,d^{6} a^{3} b^{7} e^{4}-360 A \,d^{7} a^{2} b^{8} e^{3}+90 A \,d^{8} a \,b^{9} e^{2}-10 A \,d^{9} b^{10} e +a^{10} B \,e^{10}-20 B d \,a^{9} b \,e^{9}+135 B \,d^{2} a^{8} b^{2} e^{8}-480 B \,d^{3} a^{7} b^{3} e^{7}+1050 B \,d^{4} a^{6} b^{4} e^{6}-1512 B \,d^{5} a^{5} b^{5} e^{5}+1470 B \,d^{6} a^{4} b^{6} e^{4}-960 B \,d^{7} a^{3} b^{7} e^{3}+405 B \,d^{8} a^{2} b^{8} e^{2}-100 B \,d^{9} a \,b^{9} e +11 b^{10} B \,d^{10}}{18 \left(e x +d \right)^{18} e^{12}}"," 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1109,1,1942,440,0.008000," ","int((b*x+a)^10*(B*x+A)/(e*x+d)^21,x)","-\frac{B \,b^{10}}{9 \left(e x +d \right)^{9} e^{12}}-\frac{\left(A b e +10 B a e -11 B b d \right) b^{9}}{10 \left(e x +d \right)^{10} e^{12}}-\frac{5 \left(2 A a b \,e^{2}-2 A \,b^{2} d e +9 B \,a^{2} e^{2}-20 B a b d e +11 B \,b^{2} d^{2}\right) b^{8}}{11 \left(e x +d \right)^{11} e^{12}}-\frac{5 \left(3 A \,a^{2} b \,e^{3}-6 A a \,b^{2} d \,e^{2}+3 A \,b^{3} d^{2} e +8 B \,a^{3} e^{3}-27 B \,a^{2} b d \,e^{2}+30 B a \,b^{2} d^{2} e -11 B \,b^{3} d^{3}\right) b^{7}}{4 \left(e x +d \right)^{12} e^{12}}-\frac{30 \left(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 +7 B \,a^{4} e^{4}-32 B \,a^{3} b d \,e^{3}+54 B \,a^{2} b^{2} d^{2} e^{2}-40 B a \,b^{3} d^{3} e +11 B \,b^{4} d^{4}\right) b^{6}}{13 \left(e x +d \right)^{13} e^{12}}-\frac{3 \left(5 A \,a^{4} b \,e^{5}-20 A \,a^{3} b^{2} d \,e^{4}+30 A \,a^{2} b^{3} d^{2} e^{3}-20 A a \,b^{4} d^{3} e^{2}+5 A \,b^{5} d^{4} e +6 B \,a^{5} e^{5}-35 B \,a^{4} b d \,e^{4}+80 B \,a^{3} b^{2} d^{2} e^{3}-90 B \,a^{2} b^{3} d^{3} e^{2}+50 B a \,b^{4} d^{4} e -11 B \,b^{5} d^{5}\right) b^{5}}{\left(e x +d \right)^{14} e^{12}}-\frac{14 \left(6 A \,a^{5} b \,e^{6}-30 A \,a^{4} b^{2} d \,e^{5}+60 A \,a^{3} b^{3} d^{2} e^{4}-60 A \,a^{2} b^{4} d^{3} e^{3}+30 A a \,b^{5} d^{4} e^{2}-6 A \,b^{6} d^{5} e +5 B \,a^{6} e^{6}-36 B \,a^{5} b d \,e^{5}+105 B \,a^{4} b^{2} d^{2} e^{4}-160 B \,a^{3} b^{3} d^{3} e^{3}+135 B \,a^{2} b^{4} d^{4} e^{2}-60 B a \,b^{5} d^{5} e +11 B \,b^{6} d^{6}\right) b^{4}}{5 \left(e x +d \right)^{15} e^{12}}-\frac{15 \left(7 A \,a^{6} b \,e^{7}-42 A \,a^{5} b^{2} d \,e^{6}+105 A \,a^{4} b^{3} d^{2} e^{5}-140 A \,a^{3} b^{4} d^{3} e^{4}+105 A \,a^{2} b^{5} d^{4} e^{3}-42 A a \,b^{6} d^{5} e^{2}+7 A \,b^{7} d^{6} e +4 B \,a^{7} e^{7}-35 B \,a^{6} b d \,e^{6}+126 B \,a^{5} b^{2} d^{2} e^{5}-245 B \,a^{4} b^{3} d^{3} e^{4}+280 B \,a^{3} b^{4} d^{4} e^{3}-189 B \,a^{2} b^{5} d^{5} e^{2}+70 B a \,b^{6} d^{6} e -11 B \,b^{7} d^{7}\right) b^{3}}{8 \left(e x +d \right)^{16} e^{12}}-\frac{15 \left(8 A \,a^{7} b \,e^{8}-56 A \,a^{6} b^{2} d \,e^{7}+168 A \,a^{5} b^{3} d^{2} e^{6}-280 A \,a^{4} b^{4} d^{3} e^{5}+280 A \,a^{3} b^{5} d^{4} e^{4}-168 A \,a^{2} b^{6} d^{5} e^{3}+56 A a \,b^{7} d^{6} e^{2}-8 A \,b^{8} d^{7} e +3 B \,a^{8} e^{8}-32 B \,a^{7} b d \,e^{7}+140 B \,a^{6} b^{2} d^{2} e^{6}-336 B \,a^{5} b^{3} d^{3} e^{5}+490 B \,a^{4} b^{4} d^{4} e^{4}-448 B \,a^{3} b^{5} d^{5} e^{3}+252 B \,a^{2} b^{6} d^{6} e^{2}-80 B a \,b^{7} d^{7} e +11 B \,b^{8} d^{8}\right) b^{2}}{17 \left(e x +d \right)^{17} e^{12}}-\frac{5 \left(9 A \,a^{8} b \,e^{9}-72 A \,a^{7} b^{2} d \,e^{8}+252 A \,a^{6} b^{3} d^{2} e^{7}-504 A \,a^{5} b^{4} d^{3} e^{6}+630 A \,a^{4} b^{5} d^{4} e^{5}-504 A \,a^{3} b^{6} d^{5} e^{4}+252 A \,a^{2} b^{7} d^{6} e^{3}-72 A a \,b^{8} d^{7} e^{2}+9 A \,b^{9} d^{8} e +2 B \,a^{9} e^{9}-27 B \,a^{8} b d \,e^{8}+144 B \,a^{7} b^{2} d^{2} e^{7}-420 B \,a^{6} b^{3} d^{3} e^{6}+756 B \,a^{5} b^{4} d^{4} e^{5}-882 B \,a^{4} b^{5} d^{5} e^{4}+672 B \,a^{3} b^{6} d^{6} e^{3}-324 B \,a^{2} b^{7} d^{7} e^{2}+90 B a \,b^{8} d^{8} e -11 B \,b^{9} d^{9}\right) b}{18 \left(e x +d \right)^{18} e^{12}}-\frac{10 A \,a^{9} b \,e^{10}-90 A d \,a^{8} b^{2} e^{9}+360 A \,d^{2} a^{7} b^{3} e^{8}-840 A \,d^{3} a^{6} b^{4} e^{7}+1260 A \,d^{4} a^{5} b^{5} e^{6}-1260 A \,d^{5} a^{4} b^{6} e^{5}+840 A \,d^{6} a^{3} b^{7} e^{4}-360 A \,d^{7} a^{2} b^{8} e^{3}+90 A \,d^{8} a \,b^{9} e^{2}-10 A \,d^{9} b^{10} e +a^{10} B \,e^{10}-20 B d \,a^{9} b \,e^{9}+135 B \,d^{2} a^{8} b^{2} e^{8}-480 B \,d^{3} a^{7} b^{3} e^{7}+1050 B \,d^{4} a^{6} b^{4} e^{6}-1512 B \,d^{5} a^{5} b^{5} e^{5}+1470 B \,d^{6} a^{4} b^{6} e^{4}-960 B \,d^{7} a^{3} b^{7} e^{3}+405 B \,d^{8} a^{2} b^{8} e^{2}-100 B \,d^{9} a \,b^{9} e +11 b^{10} B \,d^{10}}{19 \left(e x +d \right)^{19} e^{12}}-\frac{a^{10} A \,e^{11}-10 A d \,a^{9} b \,e^{10}+45 A \,d^{2} a^{8} b^{2} e^{9}-120 A \,d^{3} a^{7} b^{3} e^{8}+210 A \,d^{4} a^{6} b^{4} e^{7}-252 A \,d^{5} a^{5} b^{5} e^{6}+210 A \,d^{6} a^{4} b^{6} e^{5}-120 A \,d^{7} a^{3} b^{7} e^{4}+45 A \,d^{8} a^{2} b^{8} e^{3}-10 A \,d^{9} a \,b^{9} e^{2}+A \,d^{10} b^{10} e -B d \,a^{10} e^{10}+10 B \,d^{2} a^{9} b \,e^{9}-45 B \,d^{3} a^{8} b^{2} e^{8}+120 B \,d^{4} a^{7} b^{3} e^{7}-210 B \,d^{5} a^{6} b^{4} e^{6}+252 B \,d^{6} a^{5} b^{5} e^{5}-210 B \,d^{7} a^{4} b^{6} e^{4}+120 B \,d^{8} a^{3} b^{7} e^{3}-45 B \,d^{9} a^{2} b^{8} e^{2}+10 B \,d^{10} a \,b^{9} e -b^{10} B \,d^{11}}{20 \left(e x +d \right)^{20} e^{12}}"," 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1110,1,1942,440,0.011000," ","int((b*x+a)^10*(B*x+A)/(e*x+d)^22,x)","-\frac{B \,b^{10}}{10 \left(e x +d \right)^{10} e^{12}}-\frac{\left(A b e +10 B a e -11 B b d \right) b^{9}}{11 \left(e x +d \right)^{11} e^{12}}-\frac{5 \left(2 A a b \,e^{2}-2 A \,b^{2} d e +9 B \,a^{2} e^{2}-20 B a b d e +11 B \,b^{2} d^{2}\right) b^{8}}{12 \left(e x +d \right)^{12} e^{12}}-\frac{15 \left(3 A \,a^{2} b \,e^{3}-6 A a \,b^{2} d \,e^{2}+3 A \,b^{3} d^{2} e +8 B \,a^{3} e^{3}-27 B \,a^{2} b d \,e^{2}+30 B a \,b^{2} d^{2} e -11 B \,b^{3} d^{3}\right) b^{7}}{13 \left(e x +d \right)^{13} e^{12}}-\frac{15 \left(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 +7 B \,a^{4} e^{4}-32 B \,a^{3} b d \,e^{3}+54 B \,a^{2} b^{2} d^{2} e^{2}-40 B a \,b^{3} d^{3} e +11 B \,b^{4} d^{4}\right) b^{6}}{7 \left(e x +d \right)^{14} e^{12}}-\frac{14 \left(5 A \,a^{4} b \,e^{5}-20 A \,a^{3} b^{2} d \,e^{4}+30 A \,a^{2} b^{3} d^{2} e^{3}-20 A a \,b^{4} d^{3} e^{2}+5 A \,b^{5} d^{4} e +6 B \,a^{5} e^{5}-35 B \,a^{4} b d \,e^{4}+80 B \,a^{3} b^{2} d^{2} e^{3}-90 B \,a^{2} b^{3} d^{3} e^{2}+50 B a \,b^{4} d^{4} e -11 B \,b^{5} d^{5}\right) b^{5}}{5 \left(e x +d \right)^{15} e^{12}}-\frac{21 \left(6 A \,a^{5} b \,e^{6}-30 A \,a^{4} b^{2} d \,e^{5}+60 A \,a^{3} b^{3} d^{2} e^{4}-60 A \,a^{2} b^{4} d^{3} e^{3}+30 A a \,b^{5} d^{4} e^{2}-6 A \,b^{6} d^{5} e +5 B \,a^{6} e^{6}-36 B \,a^{5} b d \,e^{5}+105 B \,a^{4} b^{2} d^{2} e^{4}-160 B \,a^{3} b^{3} d^{3} e^{3}+135 B \,a^{2} b^{4} d^{4} e^{2}-60 B a \,b^{5} d^{5} e +11 B \,b^{6} d^{6}\right) b^{4}}{8 \left(e x +d \right)^{16} e^{12}}-\frac{30 \left(7 A \,a^{6} b \,e^{7}-42 A \,a^{5} b^{2} d \,e^{6}+105 A \,a^{4} b^{3} d^{2} e^{5}-140 A \,a^{3} b^{4} d^{3} e^{4}+105 A \,a^{2} b^{5} d^{4} e^{3}-42 A a \,b^{6} d^{5} e^{2}+7 A \,b^{7} d^{6} e +4 B \,a^{7} e^{7}-35 B \,a^{6} b d \,e^{6}+126 B \,a^{5} b^{2} d^{2} e^{5}-245 B \,a^{4} b^{3} d^{3} e^{4}+280 B \,a^{3} b^{4} d^{4} e^{3}-189 B \,a^{2} b^{5} d^{5} e^{2}+70 B a \,b^{6} d^{6} e -11 B \,b^{7} d^{7}\right) b^{3}}{17 \left(e x +d \right)^{17} e^{12}}-\frac{5 \left(8 A \,a^{7} b \,e^{8}-56 A \,a^{6} b^{2} d \,e^{7}+168 A \,a^{5} b^{3} d^{2} e^{6}-280 A \,a^{4} b^{4} d^{3} e^{5}+280 A \,a^{3} b^{5} d^{4} e^{4}-168 A \,a^{2} b^{6} d^{5} e^{3}+56 A a \,b^{7} d^{6} e^{2}-8 A \,b^{8} d^{7} e +3 B \,a^{8} e^{8}-32 B \,a^{7} b d \,e^{7}+140 B \,a^{6} b^{2} d^{2} e^{6}-336 B \,a^{5} b^{3} d^{3} e^{5}+490 B \,a^{4} b^{4} d^{4} e^{4}-448 B \,a^{3} b^{5} d^{5} e^{3}+252 B \,a^{2} b^{6} d^{6} e^{2}-80 B a \,b^{7} d^{7} e +11 B \,b^{8} d^{8}\right) b^{2}}{6 \left(e x +d \right)^{18} e^{12}}-\frac{5 \left(9 A \,a^{8} b \,e^{9}-72 A \,a^{7} b^{2} d \,e^{8}+252 A \,a^{6} b^{3} d^{2} e^{7}-504 A \,a^{5} b^{4} d^{3} e^{6}+630 A \,a^{4} b^{5} d^{4} e^{5}-504 A \,a^{3} b^{6} d^{5} e^{4}+252 A \,a^{2} b^{7} d^{6} e^{3}-72 A a \,b^{8} d^{7} e^{2}+9 A \,b^{9} d^{8} e +2 B \,a^{9} e^{9}-27 B \,a^{8} b d \,e^{8}+144 B \,a^{7} b^{2} d^{2} e^{7}-420 B \,a^{6} b^{3} d^{3} e^{6}+756 B \,a^{5} b^{4} d^{4} e^{5}-882 B \,a^{4} b^{5} d^{5} e^{4}+672 B \,a^{3} b^{6} d^{6} e^{3}-324 B \,a^{2} b^{7} d^{7} e^{2}+90 B a \,b^{8} d^{8} e -11 B \,b^{9} d^{9}\right) b}{19 \left(e x +d \right)^{19} e^{12}}-\frac{a^{10} A \,e^{11}-10 A d \,a^{9} b \,e^{10}+45 A \,d^{2} a^{8} b^{2} e^{9}-120 A \,d^{3} a^{7} b^{3} e^{8}+210 A \,d^{4} a^{6} b^{4} e^{7}-252 A \,d^{5} a^{5} b^{5} e^{6}+210 A \,d^{6} a^{4} b^{6} e^{5}-120 A \,d^{7} a^{3} b^{7} e^{4}+45 A \,d^{8} a^{2} b^{8} e^{3}-10 A \,d^{9} a \,b^{9} e^{2}+A \,d^{10} b^{10} e -B d \,a^{10} e^{10}+10 B \,d^{2} a^{9} b \,e^{9}-45 B \,d^{3} a^{8} b^{2} e^{8}+120 B \,d^{4} a^{7} b^{3} e^{7}-210 B \,d^{5} a^{6} b^{4} e^{6}+252 B \,d^{6} a^{5} b^{5} e^{5}-210 B \,d^{7} a^{4} b^{6} e^{4}+120 B \,d^{8} a^{3} b^{7} e^{3}-45 B \,d^{9} a^{2} b^{8} e^{2}+10 B \,d^{10} a \,b^{9} e -b^{10} B \,d^{11}}{21 \left(e x +d \right)^{21} e^{12}}-\frac{10 A \,a^{9} b \,e^{10}-90 A d \,a^{8} b^{2} e^{9}+360 A \,d^{2} a^{7} b^{3} e^{8}-840 A \,d^{3} a^{6} b^{4} e^{7}+1260 A \,d^{4} a^{5} b^{5} e^{6}-1260 A \,d^{5} a^{4} b^{6} e^{5}+840 A \,d^{6} a^{3} b^{7} e^{4}-360 A \,d^{7} a^{2} b^{8} e^{3}+90 A \,d^{8} a \,b^{9} e^{2}-10 A \,d^{9} b^{10} e +a^{10} B \,e^{10}-20 B d \,a^{9} b \,e^{9}+135 B \,d^{2} a^{8} b^{2} e^{8}-480 B \,d^{3} a^{7} b^{3} e^{7}+1050 B \,d^{4} a^{6} b^{4} e^{6}-1512 B \,d^{5} a^{5} b^{5} e^{5}+1470 B \,d^{6} a^{4} b^{6} e^{4}-960 B \,d^{7} a^{3} b^{7} e^{3}+405 B \,d^{8} a^{2} b^{8} e^{2}-100 B \,d^{9} a \,b^{9} e +11 b^{10} B \,d^{10}}{20 \left(e x +d \right)^{20} e^{12}}"," ",0,"-1/21*(A*a^10*e^11-10*A*a^9*b*d*e^10+45*A*a^8*b^2*d^2*e^9-120*A*a^7*b^3*d^3*e^8+210*A*a^6*b^4*d^4*e^7-252*A*a^5*b^5*d^5*e^6+210*A*a^4*b^6*d^6*e^5-120*A*a^3*b^7*d^7*e^4+45*A*a^2*b^8*d^8*e^3-10*A*a*b^9*d^9*e^2+A*b^10*d^10*e-B*a^10*d*e^10+10*B*a^9*b*d^2*e^9-45*B*a^8*b^2*d^3*e^8+120*B*a^7*b^3*d^4*e^7-210*B*a^6*b^4*d^5*e^6+252*B*a^5*b^5*d^6*e^5-210*B*a^4*b^6*d^7*e^4+120*B*a^3*b^7*d^8*e^3-45*B*a^2*b^8*d^9*e^2+10*B*a*b^9*d^10*e-B*b^10*d^11)/e^12/(e*x+d)^21-30/17*b^3*(7*A*a^6*b*e^7-42*A*a^5*b^2*d*e^6+105*A*a^4*b^3*d^2*e^5-140*A*a^3*b^4*d^3*e^4+105*A*a^2*b^5*d^4*e^3-42*A*a*b^6*d^5*e^2+7*A*b^7*d^6*e+4*B*a^7*e^7-35*B*a^6*b*d*e^6+126*B*a^5*b^2*d^2*e^5-245*B*a^4*b^3*d^3*e^4+280*B*a^3*b^4*d^4*e^3-189*B*a^2*b^5*d^5*e^2+70*B*a*b^6*d^6*e-11*B*b^7*d^7)/e^12/(e*x+d)^17-14/5*b^5*(5*A*a^4*b*e^5-20*A*a^3*b^2*d*e^4+30*A*a^2*b^3*d^2*e^3-20*A*a*b^4*d^3*e^2+5*A*b^5*d^4*e+6*B*a^5*e^5-35*B*a^4*b*d*e^4+80*B*a^3*b^2*d^2*e^3-90*B*a^2*b^3*d^3*e^2+50*B*a*b^4*d^4*e-11*B*b^5*d^5)/e^12/(e*x+d)^15-5/19*b*(9*A*a^8*b*e^9-72*A*a^7*b^2*d*e^8+252*A*a^6*b^3*d^2*e^7-504*A*a^5*b^4*d^3*e^6+630*A*a^4*b^5*d^4*e^5-504*A*a^3*b^6*d^5*e^4+252*A*a^2*b^7*d^6*e^3-72*A*a*b^8*d^7*e^2+9*A*b^9*d^8*e+2*B*a^9*e^9-27*B*a^8*b*d*e^8+144*B*a^7*b^2*d^2*e^7-420*B*a^6*b^3*d^3*e^6+756*B*a^5*b^4*d^4*e^5-882*B*a^4*b^5*d^5*e^4+672*B*a^3*b^6*d^6*e^3-324*B*a^2*b^7*d^7*e^2+90*B*a*b^8*d^8*e-11*B*b^9*d^9)/e^12/(e*x+d)^19-15/13*b^7*(3*A*a^2*b*e^3-6*A*a*b^2*d*e^2+3*A*b^3*d^2*e+8*B*a^3*e^3-27*B*a^2*b*d*e^2+30*B*a*b^2*d^2*e-11*B*b^3*d^3)/e^12/(e*x+d)^13-5/6*b^2*(8*A*a^7*b*e^8-56*A*a^6*b^2*d*e^7+168*A*a^5*b^3*d^2*e^6-280*A*a^4*b^4*d^3*e^5+280*A*a^3*b^5*d^4*e^4-168*A*a^2*b^6*d^5*e^3+56*A*a*b^7*d^6*e^2-8*A*b^8*d^7*e+3*B*a^8*e^8-32*B*a^7*b*d*e^7+140*B*a^6*b^2*d^2*e^6-336*B*a^5*b^3*d^3*e^5+490*B*a^4*b^4*d^4*e^4-448*B*a^3*b^5*d^5*e^3+252*B*a^2*b^6*d^6*e^2-80*B*a*b^7*d^7*e+11*B*b^8*d^8)/e^12/(e*x+d)^18-15/7*b^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+7*B*a^4*e^4-32*B*a^3*b*d*e^3+54*B*a^2*b^2*d^2*e^2-40*B*a*b^3*d^3*e+11*B*b^4*d^4)/e^12/(e*x+d)^14-21/8*b^4*(6*A*a^5*b*e^6-30*A*a^4*b^2*d*e^5+60*A*a^3*b^3*d^2*e^4-60*A*a^2*b^4*d^3*e^3+30*A*a*b^5*d^4*e^2-6*A*b^6*d^5*e+5*B*a^6*e^6-36*B*a^5*b*d*e^5+105*B*a^4*b^2*d^2*e^4-160*B*a^3*b^3*d^3*e^3+135*B*a^2*b^4*d^4*e^2-60*B*a*b^5*d^5*e+11*B*b^6*d^6)/e^12/(e*x+d)^16-5/12*b^8*(2*A*a*b*e^2-2*A*b^2*d*e+9*B*a^2*e^2-20*B*a*b*d*e+11*B*b^2*d^2)/e^12/(e*x+d)^12-1/11*b^9*(A*b*e+10*B*a*e-11*B*b*d)/e^12/(e*x+d)^11-1/10*b^10*B/e^12/(e*x+d)^10-1/20*(10*A*a^9*b*e^10-90*A*a^8*b^2*d*e^9+360*A*a^7*b^3*d^2*e^8-840*A*a^6*b^4*d^3*e^7+1260*A*a^5*b^5*d^4*e^6-1260*A*a^4*b^6*d^5*e^5+840*A*a^3*b^7*d^6*e^4-360*A*a^2*b^8*d^7*e^3+90*A*a*b^9*d^8*e^2-10*A*b^10*d^9*e+B*a^10*e^10-20*B*a^9*b*d*e^9+135*B*a^8*b^2*d^2*e^8-480*B*a^7*b^3*d^3*e^7+1050*B*a^6*b^4*d^4*e^6-1512*B*a^5*b^5*d^5*e^5+1470*B*a^4*b^6*d^6*e^4-960*B*a^3*b^7*d^7*e^3+405*B*a^2*b^8*d^8*e^2-100*B*a*b^9*d^9*e+11*B*b^10*d^10)/e^12/(e*x+d)^20","B"
1111,1,737,177,0.008000," ","int((B*x+A)*(e*x+d)^5/(b*x+a),x)","\frac{B \,e^{5} x^{6}}{6 b}+\frac{A \,e^{5} x^{5}}{5 b}-\frac{B a \,e^{5} x^{5}}{5 b^{2}}+\frac{B d \,e^{4} x^{5}}{b}-\frac{A a \,e^{5} x^{4}}{4 b^{2}}+\frac{5 A d \,e^{4} x^{4}}{4 b}+\frac{B \,a^{2} e^{5} x^{4}}{4 b^{3}}-\frac{5 B a d \,e^{4} x^{4}}{4 b^{2}}+\frac{5 B \,d^{2} e^{3} x^{4}}{2 b}+\frac{A \,a^{2} e^{5} x^{3}}{3 b^{3}}-\frac{5 A a d \,e^{4} x^{3}}{3 b^{2}}+\frac{10 A \,d^{2} e^{3} x^{3}}{3 b}-\frac{B \,a^{3} e^{5} x^{3}}{3 b^{4}}+\frac{5 B \,a^{2} d \,e^{4} x^{3}}{3 b^{3}}-\frac{10 B a \,d^{2} e^{3} x^{3}}{3 b^{2}}+\frac{10 B \,d^{3} e^{2} x^{3}}{3 b}-\frac{A \,a^{3} e^{5} x^{2}}{2 b^{4}}+\frac{5 A \,a^{2} d \,e^{4} x^{2}}{2 b^{3}}-\frac{5 A a \,d^{2} e^{3} x^{2}}{b^{2}}+\frac{5 A \,d^{3} e^{2} x^{2}}{b}+\frac{B \,a^{4} e^{5} x^{2}}{2 b^{5}}-\frac{5 B \,a^{3} d \,e^{4} x^{2}}{2 b^{4}}+\frac{5 B \,a^{2} d^{2} e^{3} x^{2}}{b^{3}}-\frac{5 B a \,d^{3} e^{2} x^{2}}{b^{2}}+\frac{5 B \,d^{4} e \,x^{2}}{2 b}-\frac{A \,a^{5} e^{5} \ln \left(b x +a \right)}{b^{6}}+\frac{5 A \,a^{4} d \,e^{4} \ln \left(b x +a \right)}{b^{5}}+\frac{A \,a^{4} e^{5} x}{b^{5}}-\frac{10 A \,a^{3} d^{2} e^{3} \ln \left(b x +a \right)}{b^{4}}-\frac{5 A \,a^{3} d \,e^{4} x}{b^{4}}+\frac{10 A \,a^{2} d^{3} e^{2} \ln \left(b x +a \right)}{b^{3}}+\frac{10 A \,a^{2} d^{2} e^{3} x}{b^{3}}-\frac{5 A a \,d^{4} e \ln \left(b x +a \right)}{b^{2}}-\frac{10 A a \,d^{3} e^{2} x}{b^{2}}+\frac{A \,d^{5} \ln \left(b x +a \right)}{b}+\frac{5 A \,d^{4} e x}{b}+\frac{B \,a^{6} e^{5} \ln \left(b x +a \right)}{b^{7}}-\frac{5 B \,a^{5} d \,e^{4} \ln \left(b x +a \right)}{b^{6}}-\frac{B \,a^{5} e^{5} x}{b^{6}}+\frac{10 B \,a^{4} d^{2} e^{3} \ln \left(b x +a \right)}{b^{5}}+\frac{5 B \,a^{4} d \,e^{4} x}{b^{5}}-\frac{10 B \,a^{3} d^{3} e^{2} \ln \left(b x +a \right)}{b^{4}}-\frac{10 B \,a^{3} d^{2} e^{3} x}{b^{4}}+\frac{5 B \,a^{2} d^{4} e \ln \left(b x +a \right)}{b^{3}}+\frac{10 B \,a^{2} d^{3} e^{2} x}{b^{3}}-\frac{B a \,d^{5} \ln \left(b x +a \right)}{b^{2}}-\frac{5 B a \,d^{4} e x}{b^{2}}+\frac{B \,d^{5} x}{b}"," ",0,"1/b*ln(b*x+a)*A*d^5+1/b*B*d^5*x+1/6/b*B*x^6*e^5+1/5/b*A*x^5*e^5-1/b^6*B*a^5*e^5*x+10/3/b*A*x^3*d^2*e^3+1/b^5*A*a^4*e^5*x+5/b*A*d^4*e*x+5/4/b*A*x^4*d*e^4+1/4/b^3*B*x^4*a^2*e^5-1/b^6*ln(b*x+a)*A*a^5*e^5-1/b^2*ln(b*x+a)*B*a*d^5+1/b^7*ln(b*x+a)*B*a^6*e^5+1/3/b^3*A*x^3*a^2*e^5-1/3/b^4*B*x^3*a^3*e^5+10/3/b*B*x^3*d^3*e^2-1/2/b^4*A*x^2*a^3*e^5+1/b*B*x^5*d*e^4-1/4/b^2*A*x^4*a*e^5-1/5/b^2*B*x^5*a*e^5+5/b*A*x^2*d^3*e^2+1/2/b^5*B*x^2*a^4*e^5+5/2/b*B*x^2*d^4*e+5/2/b*B*x^4*d^2*e^3+5/b^5*B*a^4*d*e^4*x-10/b^4*B*a^3*d^2*e^3*x+10/b^3*B*a^2*d^3*e^2*x-5/b^2*B*a*d^4*e*x-10/3/b^2*B*x^3*a*d^2*e^3+5/2/b^3*A*x^2*a^2*d*e^4-5/b^2*A*x^2*a*d^2*e^3-5/b^4*A*a^3*d*e^4*x+5/b^3*B*x^2*a^2*d^2*e^3-5/b^2*B*x^2*a*d^3*e^2+10/b^3*A*a^2*d^2*e^3*x-5/3/b^2*A*x^3*a*d*e^4+5/3/b^3*B*x^3*a^2*d*e^4-5/4/b^2*B*x^4*a*d*e^4+5/b^5*ln(b*x+a)*A*a^4*d*e^4-10/b^4*ln(b*x+a)*A*a^3*d^2*e^3+10/b^3*ln(b*x+a)*A*a^2*d^3*e^2-5/b^2*ln(b*x+a)*A*a*d^4*e-5/b^6*ln(b*x+a)*B*a^5*d*e^4+10/b^5*ln(b*x+a)*B*a^4*d^2*e^3-10/b^4*ln(b*x+a)*B*a^3*d^3*e^2+5/b^3*ln(b*x+a)*B*a^2*d^4*e-5/2/b^4*B*x^2*a^3*d*e^4-10/b^2*A*a*d^3*e^2*x","B"
1112,1,521,147,0.006000," ","int((B*x+A)*(e*x+d)^4/(b*x+a),x)","\frac{B \,e^{4} x^{5}}{5 b}+\frac{A \,e^{4} x^{4}}{4 b}-\frac{B a \,e^{4} x^{4}}{4 b^{2}}+\frac{B d \,e^{3} x^{4}}{b}-\frac{A a \,e^{4} x^{3}}{3 b^{2}}+\frac{4 A d \,e^{3} x^{3}}{3 b}+\frac{B \,a^{2} e^{4} x^{3}}{3 b^{3}}-\frac{4 B a d \,e^{3} x^{3}}{3 b^{2}}+\frac{2 B \,d^{2} e^{2} x^{3}}{b}+\frac{A \,a^{2} e^{4} x^{2}}{2 b^{3}}-\frac{2 A a d \,e^{3} x^{2}}{b^{2}}+\frac{3 A \,d^{2} e^{2} x^{2}}{b}-\frac{B \,a^{3} e^{4} x^{2}}{2 b^{4}}+\frac{2 B \,a^{2} d \,e^{3} x^{2}}{b^{3}}-\frac{3 B a \,d^{2} e^{2} x^{2}}{b^{2}}+\frac{2 B \,d^{3} e \,x^{2}}{b}+\frac{A \,a^{4} e^{4} \ln \left(b x +a \right)}{b^{5}}-\frac{4 A \,a^{3} d \,e^{3} \ln \left(b x +a \right)}{b^{4}}-\frac{A \,a^{3} e^{4} x}{b^{4}}+\frac{6 A \,a^{2} d^{2} e^{2} \ln \left(b x +a \right)}{b^{3}}+\frac{4 A \,a^{2} d \,e^{3} x}{b^{3}}-\frac{4 A a \,d^{3} e \ln \left(b x +a \right)}{b^{2}}-\frac{6 A a \,d^{2} e^{2} x}{b^{2}}+\frac{A \,d^{4} \ln \left(b x +a \right)}{b}+\frac{4 A \,d^{3} e x}{b}-\frac{B \,a^{5} e^{4} \ln \left(b x +a \right)}{b^{6}}+\frac{4 B \,a^{4} d \,e^{3} \ln \left(b x +a \right)}{b^{5}}+\frac{B \,a^{4} e^{4} x}{b^{5}}-\frac{6 B \,a^{3} d^{2} e^{2} \ln \left(b x +a \right)}{b^{4}}-\frac{4 B \,a^{3} d \,e^{3} x}{b^{4}}+\frac{4 B \,a^{2} d^{3} e \ln \left(b x +a \right)}{b^{3}}+\frac{6 B \,a^{2} d^{2} e^{2} x}{b^{3}}-\frac{B a \,d^{4} \ln \left(b x +a \right)}{b^{2}}-\frac{4 B a \,d^{3} e x}{b^{2}}+\frac{B \,d^{4} x}{b}"," ",0,"1/5/b*B*x^5*e^4+1/4/b*A*x^4*e^4+1/b*ln(b*x+a)*A*d^4+1/b*B*d^4*x-4/b^2*ln(b*x+a)*A*a*d^3*e-4/b^4*B*a^3*d*e^3*x+4/b*A*d^3*e*x+1/2/b^3*A*x^2*a^2*e^4-1/4/b^2*B*x^4*a*e^4+1/b*B*x^4*d*e^3+1/3/b^3*B*x^3*a^2*e^4+1/b^5*B*a^4*e^4*x+2/b*B*x^2*d^3*e-1/b^4*A*a^3*e^4*x+1/b^5*ln(b*x+a)*A*a^4*e^4+2/b*B*x^3*d^2*e^2+3/b*A*x^2*d^2*e^2-1/2/b^4*B*x^2*a^3*e^4-1/3/b^2*A*x^3*a*e^4+4/3/b*A*x^3*d*e^3-1/b^6*ln(b*x+a)*B*a^5*e^4-1/b^2*ln(b*x+a)*B*a*d^4-6/b^4*ln(b*x+a)*B*a^3*d^2*e^2-4/b^4*ln(b*x+a)*A*a^3*d*e^3+6/b^3*ln(b*x+a)*A*a^2*d^2*e^2+4/b^5*ln(b*x+a)*B*a^4*d*e^3+6/b^3*B*a^2*d^2*e^2*x-4/b^2*B*a*d^3*e*x-2/b^2*A*x^2*a*d*e^3+2/b^3*B*x^2*a^2*d*e^3-4/3/b^2*B*x^3*a*d*e^3-6/b^2*A*a*d^2*e^2*x-3/b^2*B*x^2*a*d^2*e^2+4/b^3*A*a^2*d*e^3*x+4/b^3*ln(b*x+a)*B*a^2*d^3*e","B"
1113,1,341,117,0.005000," ","int((B*x+A)*(e*x+d)^3/(b*x+a),x)","\frac{B \,e^{3} x^{4}}{4 b}+\frac{A \,e^{3} x^{3}}{3 b}-\frac{B a \,e^{3} x^{3}}{3 b^{2}}+\frac{B d \,e^{2} x^{3}}{b}-\frac{A a \,e^{3} x^{2}}{2 b^{2}}+\frac{3 A d \,e^{2} x^{2}}{2 b}+\frac{B \,a^{2} e^{3} x^{2}}{2 b^{3}}-\frac{3 B a d \,e^{2} x^{2}}{2 b^{2}}+\frac{3 B \,d^{2} e \,x^{2}}{2 b}-\frac{A \,a^{3} e^{3} \ln \left(b x +a \right)}{b^{4}}+\frac{3 A \,a^{2} d \,e^{2} \ln \left(b x +a \right)}{b^{3}}+\frac{A \,a^{2} e^{3} x}{b^{3}}-\frac{3 A a \,d^{2} e \ln \left(b x +a \right)}{b^{2}}-\frac{3 A a d \,e^{2} x}{b^{2}}+\frac{A \,d^{3} \ln \left(b x +a \right)}{b}+\frac{3 A \,d^{2} e x}{b}+\frac{B \,a^{4} e^{3} \ln \left(b x +a \right)}{b^{5}}-\frac{3 B \,a^{3} d \,e^{2} \ln \left(b x +a \right)}{b^{4}}-\frac{B \,a^{3} e^{3} x}{b^{4}}+\frac{3 B \,a^{2} d^{2} e \ln \left(b x +a \right)}{b^{3}}+\frac{3 B \,a^{2} d \,e^{2} x}{b^{3}}-\frac{B a \,d^{3} \ln \left(b x +a \right)}{b^{2}}-\frac{3 B a \,d^{2} e x}{b^{2}}+\frac{B \,d^{3} x}{b}"," ",0,"1/4/b*B*x^4*e^3+1/3/b*A*x^3*e^3-1/3/b^2*B*x^3*a*e^3+1/b*B*x^3*d*e^2-1/2/b^2*A*x^2*a*e^3+3/2/b*A*x^2*d*e^2+1/2/b^3*B*x^2*a^2*e^3-3/2/b^2*B*x^2*a*d*e^2+3/2/b*B*x^2*d^2*e+1/b^3*A*x*a^2*e^3-3/b^2*A*x*a*d*e^2+3/b*A*x*d^2*e-1/b^4*B*x*a^3*e^3+3/b^3*B*x*a^2*d*e^2-3/b^2*B*x*a*d^2*e+1/b*B*x*d^3-1/b^4*ln(b*x+a)*A*a^3*e^3+3/b^3*ln(b*x+a)*A*a^2*d*e^2-3/b^2*ln(b*x+a)*A*a*d^2*e+1/b*ln(b*x+a)*A*d^3+1/b^5*ln(b*x+a)*B*a^4*e^3-3/b^4*ln(b*x+a)*B*a^3*d*e^2+3/b^3*ln(b*x+a)*B*a^2*d^2*e-1/b^2*ln(b*x+a)*B*a*d^3","B"
1114,1,197,87,0.003000," ","int((B*x+A)*(e*x+d)^2/(b*x+a),x)","\frac{B \,e^{2} x^{3}}{3 b}+\frac{A \,e^{2} x^{2}}{2 b}-\frac{B a \,e^{2} x^{2}}{2 b^{2}}+\frac{B d e \,x^{2}}{b}+\frac{A \,a^{2} e^{2} \ln \left(b x +a \right)}{b^{3}}-\frac{2 A a d e \ln \left(b x +a \right)}{b^{2}}-\frac{A a \,e^{2} x}{b^{2}}+\frac{A \,d^{2} \ln \left(b x +a \right)}{b}+\frac{2 A d e x}{b}-\frac{B \,a^{3} e^{2} \ln \left(b x +a \right)}{b^{4}}+\frac{2 B \,a^{2} d e \ln \left(b x +a \right)}{b^{3}}+\frac{B \,a^{2} e^{2} x}{b^{3}}-\frac{B a \,d^{2} \ln \left(b x +a \right)}{b^{2}}-\frac{2 B a d e x}{b^{2}}+\frac{B \,d^{2} x}{b}"," ",0,"1/3/b*B*x^3*e^2+1/2/b*A*x^2*e^2-1/2/b^2*B*x^2*a*e^2+1/b*B*x^2*d*e-1/b^2*A*x*a*e^2+2/b*A*x*d*e+1/b^3*B*x*a^2*e^2-2/b^2*B*x*a*d*e+1/b*B*x*d^2+1/b^3*ln(b*x+a)*A*a^2*e^2-2/b^2*ln(b*x+a)*A*a*d*e+1/b*ln(b*x+a)*A*d^2-1/b^4*ln(b*x+a)*B*a^3*e^2+2/b^3*ln(b*x+a)*B*a^2*d*e-1/b^2*ln(b*x+a)*B*a*d^2","B"
1115,1,90,57,0.003000," ","int((B*x+A)*(e*x+d)/(b*x+a),x)","\frac{B e \,x^{2}}{2 b}-\frac{A a e \ln \left(b x +a \right)}{b^{2}}+\frac{A d \ln \left(b x +a \right)}{b}+\frac{A e x}{b}+\frac{B \,a^{2} e \ln \left(b x +a \right)}{b^{3}}-\frac{B a d \ln \left(b x +a \right)}{b^{2}}-\frac{B a e x}{b^{2}}+\frac{B d x}{b}"," ",0,"1/2/b*B*x^2*e+1/b*A*x*e-1/b^2*B*x*a*e+1/b*B*x*d-1/b^2*ln(b*x+a)*A*a*e+1/b*ln(b*x+a)*A*d+1/b^3*ln(b*x+a)*B*a^2*e-1/b^2*ln(b*x+a)*B*a*d","A"
1116,1,32,25,0.001000," ","int((B*x+A)/(b*x+a),x)","\frac{A \ln \left(b x +a \right)}{b}-\frac{B a \ln \left(b x +a \right)}{b^{2}}+\frac{B x}{b}"," ",0,"B/b*x+1/b*ln(b*x+a)*A-1/b^2*ln(b*x+a)*B*a","A"
1117,1,84,57,0.006000," ","int((B*x+A)/(b*x+a)/(e*x+d),x)","-\frac{A \ln \left(b x +a \right)}{a e -b d}+\frac{A \ln \left(e x +d \right)}{a e -b d}+\frac{B a \ln \left(b x +a \right)}{\left(a e -b d \right) b}-\frac{B d \ln \left(e x +d \right)}{\left(a e -b d \right) e}"," ",0,"1/(a*e-b*d)*ln(e*x+d)*A-1/(a*e-b*d)/e*ln(e*x+d)*B*d-1/(a*e-b*d)*ln(b*x+a)*A+1/(a*e-b*d)/b*ln(b*x+a)*B*a","A"
1118,1,123,81,0.008000," ","int((B*x+A)/(b*x+a)/(e*x+d)^2,x)","\frac{A b \ln \left(b x +a \right)}{\left(a e -b d \right)^{2}}-\frac{A b \ln \left(e x +d \right)}{\left(a e -b d \right)^{2}}-\frac{B a \ln \left(b x +a \right)}{\left(a e -b d \right)^{2}}+\frac{B a \ln \left(e x +d \right)}{\left(a e -b d \right)^{2}}-\frac{A}{\left(a e -b d \right) \left(e x +d \right)}+\frac{B d}{\left(a e -b d \right) \left(e x +d \right) e}"," ",0,"-1/(a*e-b*d)/(e*x+d)*A+1/(a*e-b*d)/e/(e*x+d)*B*d-1/(a*e-b*d)^2*ln(e*x+d)*A*b+1/(a*e-b*d)^2*ln(e*x+d)*B*a+1/(a*e-b*d)^2*ln(b*x+a)*A*b-1/(a*e-b*d)^2*ln(b*x+a)*B*a","A"
1119,1,171,110,0.010000," ","int((B*x+A)/(b*x+a)/(e*x+d)^3,x)","-\frac{A \,b^{2} \ln \left(b x +a \right)}{\left(a e -b d \right)^{3}}+\frac{A \,b^{2} \ln \left(e x +d \right)}{\left(a e -b d \right)^{3}}+\frac{B a b \ln \left(b x +a \right)}{\left(a e -b d \right)^{3}}-\frac{B a b \ln \left(e x +d \right)}{\left(a e -b d \right)^{3}}+\frac{A b}{\left(a e -b d \right)^{2} \left(e x +d \right)}-\frac{B a}{\left(a e -b d \right)^{2} \left(e x +d \right)}-\frac{A}{2 \left(a e -b d \right) \left(e x +d \right)^{2}}+\frac{B d}{2 \left(a e -b d \right) \left(e x +d \right)^{2} e}"," ",0,"-1/2/(a*e-b*d)/(e*x+d)^2*A+1/2/(a*e-b*d)/e/(e*x+d)^2*B*d+b^2/(a*e-b*d)^3*ln(e*x+d)*A-b/(a*e-b*d)^3*ln(e*x+d)*B*a+1/(a*e-b*d)^2/(e*x+d)*A*b-1/(a*e-b*d)^2/(e*x+d)*B*a-b^2/(a*e-b*d)^3*ln(b*x+a)*A+b/(a*e-b*d)^3*ln(b*x+a)*B*a","A"
1120,1,220,142,0.012000," ","int((B*x+A)/(b*x+a)/(e*x+d)^4,x)","\frac{A \,b^{3} \ln \left(b x +a \right)}{\left(a e -b d \right)^{4}}-\frac{A \,b^{3} \ln \left(e x +d \right)}{\left(a e -b d \right)^{4}}-\frac{B a \,b^{2} \ln \left(b x +a \right)}{\left(a e -b d \right)^{4}}+\frac{B a \,b^{2} \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(e x +d \right)}+\frac{B a b}{\left(a e -b d \right)^{3} \left(e x +d \right)}+\frac{A b}{2 \left(a e -b d \right)^{2} \left(e x +d \right)^{2}}-\frac{B a}{2 \left(a e -b d \right)^{2} \left(e x +d \right)^{2}}-\frac{A}{3 \left(a e -b d \right) \left(e x +d \right)^{3}}+\frac{B d}{3 \left(a e -b d \right) \left(e x +d \right)^{3} e}"," ",0,"-1/3/(a*e-b*d)/(e*x+d)^3*A+1/3/(a*e-b*d)/e/(e*x+d)^3*B*d-b^2/(a*e-b*d)^3/(e*x+d)*A+b/(a*e-b*d)^3/(e*x+d)*B*a+1/2/(a*e-b*d)^2/(e*x+d)^2*A*b-1/2/(a*e-b*d)^2/(e*x+d)^2*B*a-b^3/(a*e-b*d)^4*ln(e*x+d)*A+b^2/(a*e-b*d)^4*ln(e*x+d)*B*a+b^3/(a*e-b*d)^4*ln(b*x+a)*A-b^2/(a*e-b*d)^4*ln(b*x+a)*B*a","A"
1121,1,267,172,0.014000," ","int((B*x+A)/(b*x+a)/(e*x+d)^5,x)","-\frac{A \,b^{4} \ln \left(b x +a \right)}{\left(a e -b d \right)^{5}}+\frac{A \,b^{4} \ln \left(e x +d \right)}{\left(a e -b d \right)^{5}}+\frac{B a \,b^{3} \ln \left(b x +a \right)}{\left(a e -b d \right)^{5}}-\frac{B a \,b^{3} \ln \left(e x +d \right)}{\left(a e -b d \right)^{5}}+\frac{A \,b^{3}}{\left(a e -b d \right)^{4} \left(e x +d \right)}-\frac{B a \,b^{2}}{\left(a e -b d \right)^{4} \left(e x +d \right)}-\frac{A \,b^{2}}{2 \left(a e -b d \right)^{3} \left(e x +d \right)^{2}}+\frac{B a b}{2 \left(a e -b d \right)^{3} \left(e x +d \right)^{2}}+\frac{A b}{3 \left(a e -b d \right)^{2} \left(e x +d \right)^{3}}-\frac{B a}{3 \left(a e -b d \right)^{2} \left(e x +d \right)^{3}}-\frac{A}{4 \left(a e -b d \right) \left(e x +d \right)^{4}}+\frac{B d}{4 \left(a e -b d \right) \left(e x +d \right)^{4} e}"," ",0,"-1/4/(a*e-b*d)/(e*x+d)^4*A+1/4/(a*e-b*d)/e/(e*x+d)^4*B*d-1/2*b^2/(a*e-b*d)^3/(e*x+d)^2*A+1/2*b/(a*e-b*d)^3/(e*x+d)^2*B*a+b^4/(a*e-b*d)^5*ln(e*x+d)*A-b^3/(a*e-b*d)^5*ln(e*x+d)*B*a+1/3/(a*e-b*d)^2/(e*x+d)^3*A*b-1/3/(a*e-b*d)^2/(e*x+d)^3*B*a+b^3/(a*e-b*d)^4/(e*x+d)*A-b^2/(a*e-b*d)^4/(e*x+d)*B*a-b^4/(a*e-b*d)^5*ln(b*x+a)*A+b^3/(a*e-b*d)^5*ln(b*x+a)*B*a","A"
1122,1,787,221,0.014000," ","int((B*x+A)*(e*x+d)^5/(b*x+a)^2,x)","\frac{B \,e^{5} x^{5}}{5 b^{2}}+\frac{A \,e^{5} x^{4}}{4 b^{2}}-\frac{B a \,e^{5} x^{4}}{2 b^{3}}+\frac{5 B d \,e^{4} x^{4}}{4 b^{2}}-\frac{2 A a \,e^{5} x^{3}}{3 b^{3}}+\frac{5 A d \,e^{4} x^{3}}{3 b^{2}}+\frac{B \,a^{2} e^{5} x^{3}}{b^{4}}-\frac{10 B a d \,e^{4} x^{3}}{3 b^{3}}+\frac{10 B \,d^{2} e^{3} x^{3}}{3 b^{2}}+\frac{3 A \,a^{2} e^{5} x^{2}}{2 b^{4}}-\frac{5 A a d \,e^{4} x^{2}}{b^{3}}+\frac{5 A \,d^{2} e^{3} x^{2}}{b^{2}}-\frac{2 B \,a^{3} e^{5} x^{2}}{b^{5}}+\frac{15 B \,a^{2} d \,e^{4} x^{2}}{2 b^{4}}-\frac{10 B a \,d^{2} e^{3} x^{2}}{b^{3}}+\frac{5 B \,d^{3} e^{2} x^{2}}{b^{2}}+\frac{A \,a^{5} e^{5}}{\left(b x +a \right) b^{6}}-\frac{5 A \,a^{4} d \,e^{4}}{\left(b x +a \right) b^{5}}+\frac{5 A \,a^{4} e^{5} \ln \left(b x +a \right)}{b^{6}}+\frac{10 A \,a^{3} d^{2} e^{3}}{\left(b x +a \right) b^{4}}-\frac{20 A \,a^{3} d \,e^{4} \ln \left(b x +a \right)}{b^{5}}-\frac{4 A \,a^{3} e^{5} x}{b^{5}}-\frac{10 A \,a^{2} d^{3} e^{2}}{\left(b x +a \right) b^{3}}+\frac{30 A \,a^{2} d^{2} e^{3} \ln \left(b x +a \right)}{b^{4}}+\frac{15 A \,a^{2} d \,e^{4} x}{b^{4}}+\frac{5 A a \,d^{4} e}{\left(b x +a \right) b^{2}}-\frac{20 A a \,d^{3} e^{2} \ln \left(b x +a \right)}{b^{3}}-\frac{20 A a \,d^{2} e^{3} x}{b^{3}}-\frac{A \,d^{5}}{\left(b x +a \right) b}+\frac{5 A \,d^{4} e \ln \left(b x +a \right)}{b^{2}}+\frac{10 A \,d^{3} e^{2} x}{b^{2}}-\frac{B \,a^{6} e^{5}}{\left(b x +a \right) b^{7}}+\frac{5 B \,a^{5} d \,e^{4}}{\left(b x +a \right) b^{6}}-\frac{6 B \,a^{5} e^{5} \ln \left(b x +a \right)}{b^{7}}-\frac{10 B \,a^{4} d^{2} e^{3}}{\left(b x +a \right) b^{5}}+\frac{25 B \,a^{4} d \,e^{4} \ln \left(b x +a \right)}{b^{6}}+\frac{5 B \,a^{4} e^{5} x}{b^{6}}+\frac{10 B \,a^{3} d^{3} e^{2}}{\left(b x +a \right) b^{4}}-\frac{40 B \,a^{3} d^{2} e^{3} \ln \left(b x +a \right)}{b^{5}}-\frac{20 B \,a^{3} d \,e^{4} x}{b^{5}}-\frac{5 B \,a^{2} d^{4} e}{\left(b x +a \right) b^{3}}+\frac{30 B \,a^{2} d^{3} e^{2} \ln \left(b x +a \right)}{b^{4}}+\frac{30 B \,a^{2} d^{2} e^{3} x}{b^{4}}+\frac{B a \,d^{5}}{\left(b x +a \right) b^{2}}-\frac{10 B a \,d^{4} e \ln \left(b x +a \right)}{b^{3}}-\frac{20 B a \,d^{3} e^{2} x}{b^{3}}+\frac{B \,d^{5} \ln \left(b x +a \right)}{b^{2}}+\frac{5 B \,d^{4} e x}{b^{2}}"," ",0,"1/5*e^5/b^2*B*x^5+1/4*e^5/b^2*A*x^4-1/b/(b*x+a)*A*d^5+1/b^2*ln(b*x+a)*B*d^5-1/b^7/(b*x+a)*B*a^6*e^5+1/b^2/(b*x+a)*B*a*d^5+5/b^6*ln(b*x+a)*A*a^4*e^5+5/b^2*ln(b*x+a)*A*d^4*e-6/b^7*ln(b*x+a)*B*a^5*e^5+5*e^5/b^6*B*a^4*x+5*e/b^2*B*d^4*x+5*e^2/b^2*B*x^2*d^3-4*e^5/b^5*A*a^3*x+10*e^2/b^2*A*d^3*x+3/2*e^5/b^4*A*x^2*a^2+5*e^3/b^2*A*x^2*d^2-2*e^5/b^5*B*x^2*a^3-2/3*e^5/b^3*A*x^3*a+5/3*e^4/b^2*A*x^3*d+e^5/b^4*B*x^3*a^2-1/2*e^5/b^3*B*x^4*a+5/4*e^4/b^2*B*x^4*d+10/3*e^3/b^2*B*x^3*d^2+1/b^6/(b*x+a)*A*a^5*e^5+15/2*e^4/b^4*B*x^2*a^2*d-10/3*e^4/b^3*B*x^3*a*d-20*e^3/b^3*A*a*d^2*x-20*e^4/b^5*B*a^3*d*x+30*e^3/b^4*B*a^2*d^2*x-20*e^2/b^3*B*a*d^3*x-10*e^3/b^3*B*x^2*a*d^2+15*e^4/b^4*A*a^2*d*x-5/b^5/(b*x+a)*A*a^4*d*e^4+10/b^4/(b*x+a)*A*a^3*d^2*e^3+30/b^4*ln(b*x+a)*B*a^2*d^3*e^2-10/b^3*ln(b*x+a)*B*a*d^4*e-40/b^5*ln(b*x+a)*B*a^3*d^2*e^3-5*e^4/b^3*A*x^2*a*d-10/b^3/(b*x+a)*A*a^2*d^3*e^2+5/b^2/(b*x+a)*a*A*d^4*e+5/b^6/(b*x+a)*B*a^5*d*e^4-10/b^5/(b*x+a)*B*a^4*d^2*e^3+10/b^4/(b*x+a)*B*a^3*d^3*e^2-5/b^3/(b*x+a)*B*a^2*d^4*e-20/b^5*ln(b*x+a)*A*a^3*d*e^4+30/b^4*ln(b*x+a)*A*a^2*d^2*e^3-20/b^3*ln(b*x+a)*A*a*d^3*e^2+25/b^6*ln(b*x+a)*B*a^4*d*e^4","B"
1123,1,564,183,0.013000," ","int((B*x+A)*(e*x+d)^4/(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,"1/3*e^4/b^2*A*x^3-1/b/(b*x+a)*A*d^4+1/b^2*ln(b*x+a)*B*d^4+1/4*e^4/b^2*B*x^4+4/3*e^3/b^2*B*x^3*d-2/3*e^4/b^3*B*x^3*a+5/b^6*ln(b*x+a)*B*a^4*e^4-4/b^5*ln(b*x+a)*A*a^3*e^4+4/b^2*ln(b*x+a)*A*d^3*e-e^4/b^3*A*x^2*a+2*e^3/b^2*A*x^2*d+3/2*e^4/b^4*B*x^2*a^2+3*e^2/b^2*B*x^2*d^2+3*e^4/b^4*A*x*a^2+6*e^2/b^2*A*x*d^2-4*e^4/b^5*B*x*a^3+4*e/b^2*B*x*d^3-1/b^5/(b*x+a)*A*a^4*e^4+1/b^6/(b*x+a)*B*a^5*e^4+1/b^2/(b*x+a)*B*a*d^4-4*e^3/b^3*B*x^2*a*d-8*e^3/b^3*A*x*a*d+12*e^3/b^4*B*x*a^2*d-12*e^2/b^3*B*x*a*d^2+4/b^4/(b*x+a)*A*a^3*d*e^3-6/b^3/(b*x+a)*A*a^2*d^2*e^2+4/b^2/(b*x+a)*A*a*d^3*e-4/b^5/(b*x+a)*B*a^4*d*e^3+6/b^4/(b*x+a)*B*a^3*d^2*e^2+12/b^4*ln(b*x+a)*A*a^2*d*e^3-12/b^3*ln(b*x+a)*A*a*d^2*e^2-16/b^5*ln(b*x+a)*B*a^3*d*e^3+18/b^4*ln(b*x+a)*B*a^2*d^2*e^2-8/b^3*ln(b*x+a)*B*a*d^3*e-4/b^3/(b*x+a)*B*a^2*d^3*e","B"
1124,1,376,141,0.010000," ","int((B*x+A)*(e*x+d)^3/(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+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+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","B"
1125,1,223,97,0.008000," ","int((B*x+A)*(e*x+d)^2/(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*B*x*a+2*e/b^2*B*x*d-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^2-2/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*a*d*e+1/b^2*ln(b*x+a)*B*d^2","B"
1126,1,106,60,0.006000," ","int((B*x+A)*(e*x+d)/(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/(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+1/b^2*ln(b*x+a)*A*e-2/b^3*ln(b*x+a)*B*a*e+1/b^2*ln(b*x+a)*B*d","A"
1127,1,39,31,0.000000," ","int((B*x+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,"-1/(b*x+a)*A/b+1/(b*x+a)*B*a/b^2+B/b^2*ln(b*x+a)","A"
1128,1,123,81,0.010000," ","int((B*x+A)/(b*x+a)^2/(e*x+d),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)^2*ln(e*x+d)*A*e-1/(a*e-b*d)^2*ln(e*x+d)*B*d+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","A"
1129,1,208,116,0.012000," ","int((B*x+A)/(b*x+a)^2/(e*x+d)^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/(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)*B*a*e+1/(a*e-b*d)^3*ln(e*x+d)*B*b*d+2/(a*e-b*d)^3*ln(b*x+a)*A*b*e-1/(a*e-b*d)^3*ln(b*x+a)*B*a*e-1/(a*e-b*d)^3*ln(b*x+a)*B*b*d-1/(a*e-b*d)^2/(b*x+a)*A*b+1/(a*e-b*d)^2/(b*x+a)*B*a","A"
1130,1,289,155,0.013000," ","int((B*x+A)/(b*x+a)^2/(e*x+d)^3,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,"-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)*B*a*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)*B*a*e-1/(a*e-b*d)^3/(e*x+d)*B*b*d-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)*B*a*e+b^2/(a*e-b*d)^4*ln(b*x+a)*B*d+b^2/(a*e-b*d)^3/(b*x+a)*A-b/(a*e-b*d)^3/(b*x+a)*B*a","A"
1131,1,364,196,0.016000," ","int((B*x+A)/(b*x+a)^2/(e*x+d)^4,x)","\frac{4 A \,b^{3} e \ln \left(b x +a \right)}{\left(a e -b d \right)^{5}}-\frac{4 A \,b^{3} e \ln \left(e x +d \right)}{\left(a e -b d \right)^{5}}-\frac{3 B a \,b^{2} e \ln \left(b x +a \right)}{\left(a e -b d \right)^{5}}+\frac{3 B a \,b^{2} e \ln \left(e x +d \right)}{\left(a e -b d \right)^{5}}-\frac{B \,b^{3} d \ln \left(b x +a \right)}{\left(a e -b d \right)^{5}}+\frac{B \,b^{3} d \ln \left(e x +d \right)}{\left(a e -b d \right)^{5}}-\frac{A \,b^{3}}{\left(a e -b d \right)^{4} \left(b x +a \right)}-\frac{3 A \,b^{2} e}{\left(a e -b d \right)^{4} \left(e x +d \right)}+\frac{B a \,b^{2}}{\left(a e -b d \right)^{4} \left(b x +a \right)}+\frac{2 B a b e}{\left(a e -b d \right)^{4} \left(e x +d \right)}+\frac{B \,b^{2} d}{\left(a e -b d \right)^{4} \left(e x +d \right)}+\frac{A b e}{\left(a e -b d \right)^{3} \left(e x +d \right)^{2}}-\frac{B a e}{2 \left(a e -b d \right)^{3} \left(e x +d \right)^{2}}-\frac{B b d}{2 \left(a e -b d \right)^{3} \left(e x +d \right)^{2}}-\frac{A e}{3 \left(a e -b d \right)^{2} \left(e x +d \right)^{3}}+\frac{B d}{3 \left(a e -b d \right)^{2} \left(e x +d \right)^{3}}"," ",0,"-1/3/(a*e-b*d)^2/(e*x+d)^3*A*e+1/3/(a*e-b*d)^2/(e*x+d)^3*B*d-3*b^2/(a*e-b*d)^4/(e*x+d)*A*e+2*b/(a*e-b*d)^4/(e*x+d)*B*a*e+b^2/(a*e-b*d)^4/(e*x+d)*B*d+1/(a*e-b*d)^3/(e*x+d)^2*A*b*e-1/2/(a*e-b*d)^3/(e*x+d)^2*B*a*e-1/2/(a*e-b*d)^3/(e*x+d)^2*B*b*d-4*b^3/(a*e-b*d)^5*ln(e*x+d)*A*e+3*b^2/(a*e-b*d)^5*ln(e*x+d)*B*a*e+b^3/(a*e-b*d)^5*ln(e*x+d)*B*d+4*b^3/(a*e-b*d)^5*ln(b*x+a)*A*e-3*b^2/(a*e-b*d)^5*ln(b*x+a)*B*a*e-b^3/(a*e-b*d)^5*ln(b*x+a)*B*d-b^3/(a*e-b*d)^4/(b*x+a)*A+b^2/(a*e-b*d)^4/(b*x+a)*B*a","A"
1132,1,438,233,0.019000," ","int((B*x+A)/(b*x+a)^2/(e*x+d)^5,x)","-\frac{5 A \,b^{4} e \ln \left(b x +a \right)}{\left(a e -b d \right)^{6}}+\frac{5 A \,b^{4} e \ln \left(e x +d \right)}{\left(a e -b d \right)^{6}}+\frac{4 B a \,b^{3} e \ln \left(b x +a \right)}{\left(a e -b d \right)^{6}}-\frac{4 B a \,b^{3} e \ln \left(e x +d \right)}{\left(a e -b d \right)^{6}}+\frac{B \,b^{4} d \ln \left(b x +a \right)}{\left(a e -b d \right)^{6}}-\frac{B \,b^{4} d \ln \left(e x +d \right)}{\left(a e -b d \right)^{6}}+\frac{A \,b^{4}}{\left(a e -b d \right)^{5} \left(b x +a \right)}+\frac{4 A \,b^{3} e}{\left(a e -b d \right)^{5} \left(e x +d \right)}-\frac{B a \,b^{3}}{\left(a e -b d \right)^{5} \left(b x +a \right)}-\frac{3 B a \,b^{2} e}{\left(a e -b d \right)^{5} \left(e x +d \right)}-\frac{B \,b^{3} d}{\left(a e -b d \right)^{5} \left(e x +d \right)}-\frac{3 A \,b^{2} e}{2 \left(a e -b d \right)^{4} \left(e x +d \right)^{2}}+\frac{B a b e}{\left(a e -b d \right)^{4} \left(e x +d \right)^{2}}+\frac{B \,b^{2} d}{2 \left(a e -b d \right)^{4} \left(e x +d \right)^{2}}+\frac{2 A b e}{3 \left(a e -b d \right)^{3} \left(e x +d \right)^{3}}-\frac{B a e}{3 \left(a e -b d \right)^{3} \left(e x +d \right)^{3}}-\frac{B b d}{3 \left(a e -b d \right)^{3} \left(e x +d \right)^{3}}-\frac{A e}{4 \left(a e -b d \right)^{2} \left(e x +d \right)^{4}}+\frac{B d}{4 \left(a e -b d \right)^{2} \left(e x +d \right)^{4}}"," ",0,"-1/4/(a*e-b*d)^2/(e*x+d)^4*A*e+1/4/(a*e-b*d)^2/(e*x+d)^4*B*d-3/2*b^2/(a*e-b*d)^4/(e*x+d)^2*A*e+b/(a*e-b*d)^4/(e*x+d)^2*B*a*e+1/2*b^2/(a*e-b*d)^4/(e*x+d)^2*B*d+5*b^4/(a*e-b*d)^6*ln(e*x+d)*A*e-4*b^3/(a*e-b*d)^6*ln(e*x+d)*B*a*e-b^4/(a*e-b*d)^6*ln(e*x+d)*B*d+2/3/(a*e-b*d)^3/(e*x+d)^3*A*b*e-1/3/(a*e-b*d)^3/(e*x+d)^3*B*a*e-1/3/(a*e-b*d)^3/(e*x+d)^3*B*b*d+4*b^3/(a*e-b*d)^5/(e*x+d)*A*e-3*b^2/(a*e-b*d)^5/(e*x+d)*B*a*e-b^3/(a*e-b*d)^5/(e*x+d)*B*d-5*b^4/(a*e-b*d)^6*ln(b*x+a)*A*e+4*b^3/(a*e-b*d)^6*ln(b*x+a)*B*a*e+b^4/(a*e-b*d)^6*ln(b*x+a)*B*d+b^4/(a*e-b*d)^5/(b*x+a)*A-b^3/(a*e-b*d)^5/(b*x+a)*B*a","A"
1133,1,833,222,0.016000," ","int((B*x+A)*(e*x+d)^5/(b*x+a)^3,x)","\frac{B \,e^{5} x^{4}}{4 b^{3}}+\frac{A \,e^{5} x^{3}}{3 b^{3}}-\frac{B a \,e^{5} x^{3}}{b^{4}}+\frac{5 B d \,e^{4} x^{3}}{3 b^{3}}+\frac{A \,a^{5} e^{5}}{2 \left(b x +a \right)^{2} b^{6}}-\frac{5 A \,a^{4} d \,e^{4}}{2 \left(b x +a \right)^{2} b^{5}}+\frac{5 A \,a^{3} d^{2} e^{3}}{\left(b x +a \right)^{2} b^{4}}-\frac{5 A \,a^{2} d^{3} e^{2}}{\left(b x +a \right)^{2} b^{3}}+\frac{5 A a \,d^{4} e}{2 \left(b x +a \right)^{2} b^{2}}-\frac{3 A a \,e^{5} x^{2}}{2 b^{4}}-\frac{A \,d^{5}}{2 \left(b x +a \right)^{2} b}+\frac{5 A d \,e^{4} x^{2}}{2 b^{3}}-\frac{B \,a^{6} e^{5}}{2 \left(b x +a \right)^{2} b^{7}}+\frac{5 B \,a^{5} d \,e^{4}}{2 \left(b x +a \right)^{2} b^{6}}-\frac{5 B \,a^{4} d^{2} e^{3}}{\left(b x +a \right)^{2} b^{5}}+\frac{5 B \,a^{3} d^{3} e^{2}}{\left(b x +a \right)^{2} b^{4}}-\frac{5 B \,a^{2} d^{4} e}{2 \left(b x +a \right)^{2} b^{3}}+\frac{3 B \,a^{2} e^{5} x^{2}}{b^{5}}+\frac{B a \,d^{5}}{2 \left(b x +a \right)^{2} b^{2}}-\frac{15 B a d \,e^{4} x^{2}}{2 b^{4}}+\frac{5 B \,d^{2} e^{3} x^{2}}{b^{3}}-\frac{5 A \,a^{4} e^{5}}{\left(b x +a \right) b^{6}}+\frac{20 A \,a^{3} d \,e^{4}}{\left(b x +a \right) b^{5}}-\frac{10 A \,a^{3} e^{5} \ln \left(b x +a \right)}{b^{6}}-\frac{30 A \,a^{2} d^{2} e^{3}}{\left(b x +a \right) b^{4}}+\frac{30 A \,a^{2} d \,e^{4} \ln \left(b x +a \right)}{b^{5}}+\frac{6 A \,a^{2} e^{5} x}{b^{5}}+\frac{20 A a \,d^{3} e^{2}}{\left(b x +a \right) b^{3}}-\frac{30 A a \,d^{2} e^{3} \ln \left(b x +a \right)}{b^{4}}-\frac{15 A a d \,e^{4} x}{b^{4}}-\frac{5 A \,d^{4} e}{\left(b x +a \right) b^{2}}+\frac{10 A \,d^{3} e^{2} \ln \left(b x +a \right)}{b^{3}}+\frac{10 A \,d^{2} e^{3} x}{b^{3}}+\frac{6 B \,a^{5} e^{5}}{\left(b x +a \right) b^{7}}-\frac{25 B \,a^{4} d \,e^{4}}{\left(b x +a \right) b^{6}}+\frac{15 B \,a^{4} e^{5} \ln \left(b x +a \right)}{b^{7}}+\frac{40 B \,a^{3} d^{2} e^{3}}{\left(b x +a \right) b^{5}}-\frac{50 B \,a^{3} d \,e^{4} \ln \left(b x +a \right)}{b^{6}}-\frac{10 B \,a^{3} e^{5} x}{b^{6}}-\frac{30 B \,a^{2} d^{3} e^{2}}{\left(b x +a \right) b^{4}}+\frac{60 B \,a^{2} d^{2} e^{3} \ln \left(b x +a \right)}{b^{5}}+\frac{30 B \,a^{2} d \,e^{4} x}{b^{5}}+\frac{10 B a \,d^{4} e}{\left(b x +a \right) b^{3}}-\frac{30 B a \,d^{3} e^{2} \ln \left(b x +a \right)}{b^{4}}-\frac{30 B a \,d^{2} e^{3} x}{b^{4}}-\frac{B \,d^{5}}{\left(b x +a \right) b^{2}}+\frac{5 B \,d^{4} e \ln \left(b x +a \right)}{b^{3}}+\frac{10 B \,d^{3} e^{2} x}{b^{3}}"," ",0,"6*e^5/b^5*A*x*a^2-e^5/b^4*B*x^3*a+10*e^3/b^3*A*x*d^2-10*e^5/b^6*B*x*a^3+10*e^2/b^3*B*x*d^3-5/b^6/(b*x+a)*A*a^4*e^5-5/b^2/(b*x+a)*A*d^4*e+6/b^7/(b*x+a)*B*a^5*e^5-10/b^6*e^5*ln(b*x+a)*A*a^3+10/b^3*e^2*ln(b*x+a)*A*d^3+15/b^7*e^5*ln(b*x+a)*B*a^4+5/b^3*e*ln(b*x+a)*B*d^4+1/2/b^6/(b*x+a)^2*A*a^5*e^5-1/2/b^7/(b*x+a)^2*B*a^6*e^5+1/2/b^2/(b*x+a)^2*B*a*d^5-1/2/b/(b*x+a)^2*A*d^5+1/4*e^5/b^3*B*x^4+1/3*e^5/b^3*A*x^3-1/b^2/(b*x+a)*B*d^5-30/b^4/(b*x+a)*A*a^2*d^2*e^3+20/b^3/(b*x+a)*A*a*d^3*e^2-25/b^6/(b*x+a)*B*a^4*d*e^4+40/b^5/(b*x+a)*B*a^3*d^2*e^3-30/b^4/(b*x+a)*B*a^2*d^3*e^2+10/b^3/(b*x+a)*B*a*d^4*e+30/b^5*e^4*ln(b*x+a)*A*a^2*d-30/b^4*e^3*ln(b*x+a)*A*a*d^2-50/b^6*e^4*ln(b*x+a)*B*a^3*d+60/b^5*e^3*ln(b*x+a)*B*a^2*d^2-30/b^4*e^2*ln(b*x+a)*B*a*d^3-5/2/b^5/(b*x+a)^2*A*a^4*d*e^4+5/b^4/(b*x+a)^2*A*a^3*d^2*e^3-5/b^3/(b*x+a)^2*a^2*A*d^3*e^2+5/2/b^2/(b*x+a)^2*a*A*d^4*e+5/2/b^6/(b*x+a)^2*B*a^5*d*e^4-5/b^5/(b*x+a)^2*B*a^4*d^2*e^3+5/b^4/(b*x+a)^2*B*a^3*d^3*e^2-5/2/b^3/(b*x+a)^2*B*a^2*d^4*e-15/2*e^4/b^4*B*x^2*a*d-15*e^4/b^4*A*x*a*d+30*e^4/b^5*B*x*a^2*d-30*e^3/b^4*B*x*a*d^2+20/b^5/(b*x+a)*A*a^3*d*e^4+5/3*e^4/b^3*B*x^3*d+5/2*e^4/b^3*A*x^2*d+3*e^5/b^5*B*x^2*a^2+5*e^3/b^3*B*x^2*d^2-3/2*e^5/b^4*A*x^2*a","B"
1134,1,601,185,0.014000," ","int((B*x+A)*(e*x+d)^4/(b*x+a)^3,x)","\frac{B \,e^{4} x^{3}}{3 b^{3}}-\frac{A \,a^{4} e^{4}}{2 \left(b x +a \right)^{2} b^{5}}+\frac{2 A \,a^{3} d \,e^{3}}{\left(b x +a \right)^{2} b^{4}}-\frac{3 A \,a^{2} d^{2} e^{2}}{\left(b x +a \right)^{2} b^{3}}+\frac{2 A a \,d^{3} e}{\left(b x +a \right)^{2} b^{2}}-\frac{A \,d^{4}}{2 \left(b x +a \right)^{2} b}+\frac{A \,e^{4} x^{2}}{2 b^{3}}+\frac{B \,a^{5} e^{4}}{2 \left(b x +a \right)^{2} b^{6}}-\frac{2 B \,a^{4} d \,e^{3}}{\left(b x +a \right)^{2} b^{5}}+\frac{3 B \,a^{3} d^{2} e^{2}}{\left(b x +a \right)^{2} b^{4}}-\frac{2 B \,a^{2} d^{3} e}{\left(b x +a \right)^{2} b^{3}}+\frac{B a \,d^{4}}{2 \left(b x +a \right)^{2} b^{2}}-\frac{3 B a \,e^{4} x^{2}}{2 b^{4}}+\frac{2 B d \,e^{3} x^{2}}{b^{3}}+\frac{4 A \,a^{3} e^{4}}{\left(b x +a \right) b^{5}}-\frac{12 A \,a^{2} d \,e^{3}}{\left(b x +a \right) b^{4}}+\frac{6 A \,a^{2} e^{4} \ln \left(b x +a \right)}{b^{5}}+\frac{12 A a \,d^{2} e^{2}}{\left(b x +a \right) b^{3}}-\frac{12 A a d \,e^{3} \ln \left(b x +a \right)}{b^{4}}-\frac{3 A a \,e^{4} x}{b^{4}}-\frac{4 A \,d^{3} e}{\left(b x +a \right) b^{2}}+\frac{6 A \,d^{2} e^{2} \ln \left(b x +a \right)}{b^{3}}+\frac{4 A d \,e^{3} x}{b^{3}}-\frac{5 B \,a^{4} e^{4}}{\left(b x +a \right) b^{6}}+\frac{16 B \,a^{3} d \,e^{3}}{\left(b x +a \right) b^{5}}-\frac{10 B \,a^{3} e^{4} \ln \left(b x +a \right)}{b^{6}}-\frac{18 B \,a^{2} d^{2} e^{2}}{\left(b x +a \right) b^{4}}+\frac{24 B \,a^{2} d \,e^{3} \ln \left(b x +a \right)}{b^{5}}+\frac{6 B \,a^{2} e^{4} x}{b^{5}}+\frac{8 B a \,d^{3} e}{\left(b x +a \right) b^{3}}-\frac{18 B a \,d^{2} e^{2} \ln \left(b x +a \right)}{b^{4}}-\frac{12 B a d \,e^{3} x}{b^{4}}-\frac{B \,d^{4}}{\left(b x +a \right) b^{2}}+\frac{4 B \,d^{3} e \ln \left(b x +a \right)}{b^{3}}+\frac{6 B \,d^{2} e^{2} x}{b^{3}}"," ",0,"-1/b^2/(b*x+a)*B*d^4-1/2/b/(b*x+a)^2*A*d^4+1/3*e^4/b^3*B*x^3+1/2*e^4/b^3*A*x^2+4*e^3/b^3*A*x*d+6*e^4/b^5*B*x*a^2+6*e^2/b^3*B*x*d^2+4/b^5/(b*x+a)*A*a^3*e^4-4/b^2/(b*x+a)*A*d^3*e-5/b^6/(b*x+a)*B*a^4*e^4+6/b^5*e^4*ln(b*x+a)*A*a^2+6/b^3*e^2*ln(b*x+a)*A*d^2-10/b^6*e^4*ln(b*x+a)*B*a^3+4/b^3*e*ln(b*x+a)*B*d^3-1/2/b^5/(b*x+a)^2*A*a^4*e^4+1/2/b^6/(b*x+a)^2*B*a^5*e^4+1/2/b^2/(b*x+a)^2*B*a*d^4-3/2*e^4/b^4*B*x^2*a+2*e^3/b^3*B*x^2*d+3/b^4/(b*x+a)^2*B*a^3*d^2*e^2-2/b^3/(b*x+a)^2*B*a^2*d^3*e+16/b^5/(b*x+a)*B*a^3*d*e^3-12*e^3/b^4*B*x*a*d-12/b^4/(b*x+a)*A*a^2*d*e^3+12/b^3/(b*x+a)*A*a*d^2*e^2-12/b^4*e^3*ln(b*x+a)*A*a*d+24/b^5*e^3*ln(b*x+a)*B*a^2*d-18/b^4*e^2*ln(b*x+a)*B*a*d^2+2/b^4/(b*x+a)^2*A*a^3*d*e^3-18/b^4/(b*x+a)*B*a^2*d^2*e^2-3*e^4/b^4*A*x*a+8/b^3/(b*x+a)*B*a*d^3*e-3/b^3/(b*x+a)^2*A*a^2*d^2*e^2+2/b^2/(b*x+a)^2*A*a*d^3*e-2/b^5/(b*x+a)^2*B*a^4*d*e^3","B"
1135,1,404,137,0.011000," ","int((B*x+A)*(e*x+d)^3/(b*x+a)^3,x)","\frac{A \,a^{3} e^{3}}{2 \left(b x +a \right)^{2} b^{4}}-\frac{3 A \,a^{2} d \,e^{2}}{2 \left(b x +a \right)^{2} b^{3}}+\frac{3 A a \,d^{2} e}{2 \left(b x +a \right)^{2} b^{2}}-\frac{A \,d^{3}}{2 \left(b x +a \right)^{2} b}-\frac{B \,a^{4} e^{3}}{2 \left(b x +a \right)^{2} b^{5}}+\frac{3 B \,a^{3} d \,e^{2}}{2 \left(b x +a \right)^{2} b^{4}}-\frac{3 B \,a^{2} d^{2} e}{2 \left(b x +a \right)^{2} b^{3}}+\frac{B a \,d^{3}}{2 \left(b x +a \right)^{2} b^{2}}+\frac{B \,e^{3} x^{2}}{2 b^{3}}-\frac{3 A \,a^{2} e^{3}}{\left(b x +a \right) b^{4}}+\frac{6 A a d \,e^{2}}{\left(b x +a \right) b^{3}}-\frac{3 A a \,e^{3} \ln \left(b x +a \right)}{b^{4}}-\frac{3 A \,d^{2} e}{\left(b x +a \right) b^{2}}+\frac{3 A d \,e^{2} \ln \left(b x +a \right)}{b^{3}}+\frac{A \,e^{3} x}{b^{3}}+\frac{4 B \,a^{3} e^{3}}{\left(b x +a \right) b^{5}}-\frac{9 B \,a^{2} d \,e^{2}}{\left(b x +a \right) b^{4}}+\frac{6 B \,a^{2} e^{3} \ln \left(b x +a \right)}{b^{5}}+\frac{6 B a \,d^{2} e}{\left(b x +a \right) b^{3}}-\frac{9 B a d \,e^{2} \ln \left(b x +a \right)}{b^{4}}-\frac{3 B a \,e^{3} x}{b^{4}}-\frac{B \,d^{3}}{\left(b x +a \right) b^{2}}+\frac{3 B \,d^{2} e \ln \left(b x +a \right)}{b^{3}}+\frac{3 B d \,e^{2} x}{b^{3}}"," ",0,"1/2*B*e^3*x^2/b^3+e^3/b^3*A*x-3*e^3/b^4*B*x*a+3*e^2/b^3*B*x*d-3/b^4/(b*x+a)*A*a^2*e^3+6/b^3/(b*x+a)*A*a*d*e^2-3/b^2/(b*x+a)*A*d^2*e+4/b^5/(b*x+a)*B*a^3*e^3-9/b^4/(b*x+a)*B*a^2*d*e^2+6/b^3/(b*x+a)*B*a*d^2*e-1/b^2/(b*x+a)*B*d^3-3/b^4*e^3*ln(b*x+a)*A*a+3/b^3*e^2*ln(b*x+a)*A*d+6/b^5*e^3*ln(b*x+a)*B*a^2-9/b^4*e^2*ln(b*x+a)*B*a*d+3/b^3*e*ln(b*x+a)*B*d^2+1/2/b^4/(b*x+a)^2*A*a^3*e^3-3/2/b^3/(b*x+a)^2*A*a^2*d*e^2+3/2/b^2/(b*x+a)^2*A*a*d^2*e-1/2/b/(b*x+a)^2*A*d^3-1/2/b^5/(b*x+a)^2*B*a^4*e^3+3/2/b^4/(b*x+a)^2*B*a^3*d*e^2-3/2/b^3/(b*x+a)^2*B*a^2*d^2*e+1/2/b^2/(b*x+a)^2*B*a*d^3","B"
1136,1,242,101,0.009000," ","int((B*x+A)*(e*x+d)^2/(b*x+a)^3,x)","-\frac{A \,a^{2} e^{2}}{2 \left(b x +a \right)^{2} b^{3}}+\frac{A a d e}{\left(b x +a \right)^{2} b^{2}}-\frac{A \,d^{2}}{2 \left(b x +a \right)^{2} b}+\frac{B \,a^{3} e^{2}}{2 \left(b x +a \right)^{2} b^{4}}-\frac{B \,a^{2} d e}{\left(b x +a \right)^{2} b^{3}}+\frac{B a \,d^{2}}{2 \left(b x +a \right)^{2} b^{2}}+\frac{2 A a \,e^{2}}{\left(b x +a \right) b^{3}}-\frac{2 A d e}{\left(b x +a \right) b^{2}}+\frac{A \,e^{2} \ln \left(b x +a \right)}{b^{3}}-\frac{3 B \,a^{2} e^{2}}{\left(b x +a \right) b^{4}}+\frac{4 B a d e}{\left(b x +a \right) b^{3}}-\frac{3 B a \,e^{2} \ln \left(b x +a \right)}{b^{4}}-\frac{B \,d^{2}}{\left(b x +a \right) b^{2}}+\frac{2 B d e \ln \left(b x +a \right)}{b^{3}}+\frac{B \,e^{2} x}{b^{3}}"," ",0,"B*e^2*x/b^3+2/b^3/(b*x+a)*A*a*e^2-2/b^2/(b*x+a)*A*d*e-3/b^4/(b*x+a)*B*a^2*e^2+4/b^3/(b*x+a)*B*a*d*e-1/b^2/(b*x+a)*B*d^2+1/b^3*e^2*ln(b*x+a)*A-3/b^4*e^2*ln(b*x+a)*B*a+2/b^3*e*ln(b*x+a)*B*d-1/2/b^3/(b*x+a)^2*A*a^2*e^2+1/b^2/(b*x+a)^2*a*A*d*e-1/2/b/(b*x+a)^2*A*d^2+1/2/b^4/(b*x+a)^2*B*a^3*e^2-1/b^3/(b*x+a)^2*B*a^2*d*e+1/2/b^2/(b*x+a)^2*B*a*d^2","B"
1137,1,118,68,0.009000," ","int((B*x+A)*(e*x+d)/(b*x+a)^3,x)","\frac{A a e}{2 \left(b x +a \right)^{2} b^{2}}-\frac{A d}{2 \left(b x +a \right)^{2} b}-\frac{B \,a^{2} e}{2 \left(b x +a \right)^{2} b^{3}}+\frac{B a d}{2 \left(b x +a \right)^{2} b^{2}}-\frac{A e}{\left(b x +a \right) b^{2}}+\frac{2 B a e}{\left(b x +a \right) b^{3}}-\frac{B d}{\left(b x +a \right) b^{2}}+\frac{B e \ln \left(b x +a \right)}{b^{3}}"," ",0,"-1/b^2/(b*x+a)*A*e+2/b^3/(b*x+a)*B*a*e-1/b^2/(b*x+a)*B*d+B*e*ln(b*x+a)/b^3+1/2/b^2/(b*x+a)^2*A*a*e-1/2/b/(b*x+a)^2*A*d-1/2/b^3/(b*x+a)^2*B*a^2*e+1/2/b^2/(b*x+a)^2*B*a*d","A"
1138,1,35,26,0.006000," ","int((B*x+A)/(b*x+a)^3,x)","-\frac{B}{\left(b x +a \right) b^{2}}-\frac{A b -B a}{2 \left(b x +a \right)^{2} b^{2}}"," ",0,"-B/b^2/(b*x+a)-1/2*(A*b-B*a)/b^2/(b*x+a)^2","A"
1139,1,171,110,0.011000," ","int((B*x+A)/(b*x+a)^3/(e*x+d),x)","-\frac{A \,e^{2} \ln \left(b x +a \right)}{\left(a e -b d \right)^{3}}+\frac{A \,e^{2} \ln \left(e x +d \right)}{\left(a e -b d \right)^{3}}+\frac{B d e \ln \left(b x +a \right)}{\left(a e -b d \right)^{3}}-\frac{B d e \ln \left(e x +d \right)}{\left(a e -b d \right)^{3}}+\frac{A e}{\left(a e -b d \right)^{2} \left(b x +a \right)}-\frac{B d}{\left(a e -b d \right)^{2} \left(b x +a \right)}+\frac{A}{2 \left(a e -b d \right) \left(b x +a \right)^{2}}-\frac{B a}{2 \left(a e -b d \right) \left(b x +a \right)^{2} b}"," ",0,"e^2/(a*e-b*d)^3*ln(e*x+d)*A-e/(a*e-b*d)^3*ln(e*x+d)*B*d+1/2/(a*e-b*d)/(b*x+a)^2*A-1/2/(a*e-b*d)/b/(b*x+a)^2*B*a+1/(a*e-b*d)^2/(b*x+a)*A*e-1/(a*e-b*d)^2/(b*x+a)*B*d-e^2/(a*e-b*d)^3*ln(b*x+a)*A+e/(a*e-b*d)^3*ln(b*x+a)*B*d","A"
1140,1,287,157,0.014000," ","int((B*x+A)/(b*x+a)^3/(e*x+d)^2,x)","\frac{3 A b \,e^{2} \ln \left(b x +a \right)}{\left(a e -b d \right)^{4}}-\frac{3 A b \,e^{2} \ln \left(e x +d \right)}{\left(a e -b d \right)^{4}}-\frac{B a \,e^{2} \ln \left(b x +a \right)}{\left(a e -b d \right)^{4}}+\frac{B a \,e^{2} \ln \left(e x +d \right)}{\left(a e -b d \right)^{4}}-\frac{2 B b d e \ln \left(b x +a \right)}{\left(a e -b d \right)^{4}}+\frac{2 B b d e \ln \left(e x +d \right)}{\left(a e -b d \right)^{4}}-\frac{2 A b e}{\left(a e -b d \right)^{3} \left(b x +a \right)}-\frac{A \,e^{2}}{\left(a e -b d \right)^{3} \left(e x +d \right)}+\frac{B a e}{\left(a e -b d \right)^{3} \left(b x +a \right)}+\frac{B b d}{\left(a e -b d \right)^{3} \left(b x +a \right)}+\frac{B d e}{\left(a e -b d \right)^{3} \left(e x +d \right)}-\frac{A b}{2 \left(a e -b d \right)^{2} \left(b x +a \right)^{2}}+\frac{B a}{2 \left(a e -b d \right)^{2} \left(b x +a \right)^{2}}"," ",0,"-e^2/(a*e-b*d)^3/(e*x+d)*A+e/(a*e-b*d)^3/(e*x+d)*B*d-3*e^2/(a*e-b*d)^4*ln(e*x+d)*A*b+e^2/(a*e-b*d)^4*ln(e*x+d)*B*a+2*e/(a*e-b*d)^4*ln(e*x+d)*B*b*d-2/(a*e-b*d)^3/(b*x+a)*A*b*e+1/(a*e-b*d)^3/(b*x+a)*B*a*e+1/(a*e-b*d)^3/(b*x+a)*B*b*d-1/2/(a*e-b*d)^2/(b*x+a)^2*A*b+1/2/(a*e-b*d)^2/(b*x+a)^2*B*a+3*e^2/(a*e-b*d)^4*ln(b*x+a)*A*b-e^2/(a*e-b*d)^4*ln(b*x+a)*B*a-2*e/(a*e-b*d)^4*ln(b*x+a)*B*b*d","A"
1141,1,380,195,0.016000," ","int((B*x+A)/(b*x+a)^3/(e*x+d)^3,x)","-\frac{6 A \,b^{2} e^{2} \ln \left(b x +a \right)}{\left(a e -b d \right)^{5}}+\frac{6 A \,b^{2} e^{2} \ln \left(e x +d \right)}{\left(a e -b d \right)^{5}}+\frac{3 B a b \,e^{2} \ln \left(b x +a \right)}{\left(a e -b d \right)^{5}}-\frac{3 B a b \,e^{2} \ln \left(e x +d \right)}{\left(a e -b d \right)^{5}}+\frac{3 B \,b^{2} d e \ln \left(b x +a \right)}{\left(a e -b d \right)^{5}}-\frac{3 B \,b^{2} d e \ln \left(e x +d \right)}{\left(a e -b d \right)^{5}}+\frac{3 A \,b^{2} e}{\left(a e -b d \right)^{4} \left(b x +a \right)}+\frac{3 A b \,e^{2}}{\left(a e -b d \right)^{4} \left(e x +d \right)}-\frac{2 B a b e}{\left(a e -b d \right)^{4} \left(b x +a \right)}-\frac{B a \,e^{2}}{\left(a e -b d \right)^{4} \left(e x +d \right)}-\frac{B \,b^{2} d}{\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(e x +d \right)}+\frac{A \,b^{2}}{2 \left(a e -b d \right)^{3} \left(b x +a \right)^{2}}-\frac{A \,e^{2}}{2 \left(a e -b d \right)^{3} \left(e x +d \right)^{2}}-\frac{B a b}{2 \left(a e -b d \right)^{3} \left(b x +a \right)^{2}}+\frac{B d e}{2 \left(a e -b d \right)^{3} \left(e x +d \right)^{2}}"," ",0,"-1/2*e^2/(a*e-b*d)^3/(e*x+d)^2*A+1/2*e/(a*e-b*d)^3/(e*x+d)^2*B*d+3*e^2/(a*e-b*d)^4/(e*x+d)*A*b-e^2/(a*e-b*d)^4/(e*x+d)*B*a-2*e/(a*e-b*d)^4/(e*x+d)*B*b*d+6*e^2*b^2/(a*e-b*d)^5*ln(e*x+d)*A-3*e^2*b/(a*e-b*d)^5*ln(e*x+d)*B*a-3*e*b^2/(a*e-b*d)^5*ln(e*x+d)*B*d+3*b^2/(a*e-b*d)^4/(b*x+a)*A*e-2*b/(a*e-b*d)^4/(b*x+a)*B*a*e-b^2/(a*e-b*d)^4/(b*x+a)*B*d+1/2*b^2/(a*e-b*d)^3/(b*x+a)^2*A-1/2*b/(a*e-b*d)^3/(b*x+a)^2*B*a-6*e^2*b^2/(a*e-b*d)^5*ln(b*x+a)*A+3*e^2*b/(a*e-b*d)^5*ln(b*x+a)*B*a+3*e*b^2/(a*e-b*d)^5*ln(b*x+a)*B*d","A"
1142,1,463,242,0.017000," ","int((B*x+A)/(b*x+a)^3/(e*x+d)^4,x)","\frac{10 A \,b^{3} e^{2} \ln \left(b x +a \right)}{\left(a e -b d \right)^{6}}-\frac{10 A \,b^{3} e^{2} \ln \left(e x +d \right)}{\left(a e -b d \right)^{6}}-\frac{6 B a \,b^{2} e^{2} \ln \left(b x +a \right)}{\left(a e -b d \right)^{6}}+\frac{6 B a \,b^{2} e^{2} \ln \left(e x +d \right)}{\left(a e -b d \right)^{6}}-\frac{4 B \,b^{3} d e \ln \left(b x +a \right)}{\left(a e -b d \right)^{6}}+\frac{4 B \,b^{3} d e \ln \left(e x +d \right)}{\left(a e -b d \right)^{6}}-\frac{4 A \,b^{3} e}{\left(a e -b d \right)^{5} \left(b x +a \right)}-\frac{6 A \,b^{2} e^{2}}{\left(a e -b d \right)^{5} \left(e x +d \right)}+\frac{3 B a \,b^{2} e}{\left(a e -b d \right)^{5} \left(b x +a \right)}+\frac{3 B a b \,e^{2}}{\left(a e -b d \right)^{5} \left(e x +d \right)}+\frac{B \,b^{3} d}{\left(a e -b d \right)^{5} \left(b x +a \right)}+\frac{3 B \,b^{2} d e}{\left(a e -b d \right)^{5} \left(e x +d \right)}-\frac{A \,b^{3}}{2 \left(a e -b d \right)^{4} \left(b x +a \right)^{2}}+\frac{3 A b \,e^{2}}{2 \left(a e -b d \right)^{4} \left(e x +d \right)^{2}}+\frac{B a \,b^{2}}{2 \left(a e -b d \right)^{4} \left(b x +a \right)^{2}}-\frac{B a \,e^{2}}{2 \left(a e -b d \right)^{4} \left(e x +d \right)^{2}}-\frac{B b d e}{\left(a e -b d \right)^{4} \left(e x +d \right)^{2}}-\frac{A \,e^{2}}{3 \left(a e -b d \right)^{3} \left(e x +d \right)^{3}}+\frac{B d e}{3 \left(a e -b d \right)^{3} \left(e x +d \right)^{3}}"," ",0,"-1/3*e^2/(a*e-b*d)^3/(e*x+d)^3*A+1/3*e/(a*e-b*d)^3/(e*x+d)^3*B*d+3/2*e^2/(a*e-b*d)^4/(e*x+d)^2*A*b-1/2*e^2/(a*e-b*d)^4/(e*x+d)^2*B*a-e/(a*e-b*d)^4/(e*x+d)^2*B*b*d-6*e^2*b^2/(a*e-b*d)^5/(e*x+d)*A+3*e^2*b/(a*e-b*d)^5/(e*x+d)*B*a+3*e*b^2/(a*e-b*d)^5/(e*x+d)*B*d-10*e^2*b^3/(a*e-b*d)^6*ln(e*x+d)*A+6*e^2*b^2/(a*e-b*d)^6*ln(e*x+d)*B*a+4*e*b^3/(a*e-b*d)^6*ln(e*x+d)*B*d-4*b^3/(a*e-b*d)^5/(b*x+a)*A*e+3*b^2/(a*e-b*d)^5/(b*x+a)*B*a*e+b^3/(a*e-b*d)^5/(b*x+a)*B*d-1/2*b^3/(a*e-b*d)^4/(b*x+a)^2*A+1/2*b^2/(a*e-b*d)^4/(b*x+a)^2*B*a+10*e^2*b^3/(a*e-b*d)^6*ln(b*x+a)*A-6*e^2*b^2/(a*e-b*d)^6*ln(b*x+a)*B*a-4*e*b^3/(a*e-b*d)^6*ln(b*x+a)*B*d","A"
1143,1,55,28,0.002000," ","int((1-2*x)*(3*x+2)^8*(5*x+3),x)","-\frac{65610}{11} x^{11}-\frac{356481}{10} x^{10}-92421 x^{9}-133164 x^{8}-110160 x^{7}-41328 x^{6}+\frac{62496}{5} x^{5}+24576 x^{4}+\frac{42752}{3} x^{3}+4480 x^{2}+768 x"," ",0,"-65610/11*x^11-356481/10*x^10-92421*x^9-133164*x^8-110160*x^7-41328*x^6+62496/5*x^5+24576*x^4+42752/3*x^3+4480*x^2+768*x","A"
1144,1,50,28,0.001000," ","int((1-2*x)*(3*x+2)^7*(5*x+3),x)","-2187 x^{10}-11583 x^{9}-\frac{207765}{8} x^{8}-30942 x^{7}-18774 x^{6}-1512 x^{5}+6468 x^{4}+\frac{15520}{3} x^{3}+1952 x^{2}+384 x"," ",0,"-2187*x^10-11583*x^9-207765/8*x^8-30942*x^7-18774*x^6-1512*x^5+6468*x^4+15520/3*x^3+1952*x^2+384*x","A"
1145,1,45,28,0.001000," ","int((1-2*x)*(3*x+2)^6*(5*x+3),x)","-810 x^{9}-\frac{29889}{8} x^{8}-7047 x^{7}-6552 x^{6}-2268 x^{5}+1260 x^{4}+\frac{5264}{3} x^{3}+832 x^{2}+192 x"," ",0,"-810*x^9-29889/8*x^8-7047*x^7-6552*x^6-2268*x^5+1260*x^4+5264/3*x^3+832*x^2+192*x","A"
1146,1,40,28,0.002000," ","int((1-2*x)*(3*x+2)^5*(5*x+3),x)","-\frac{1215}{4} x^{8}-\frac{8343}{7} x^{7}-\frac{3627}{2} x^{6}-1170 x^{5}+30 x^{4}+\frac{1600}{3} x^{3}+344 x^{2}+96 x"," ",0,"-1215/4*x^8-8343/7*x^7-3627/2*x^6-1170*x^5+30*x^4+1600/3*x^3+344*x^2+96*x","A"
1147,1,35,28,0.001000," ","int((1-2*x)*(3*x+2)^4*(5*x+3),x)","-\frac{810}{7} x^{7}-\frac{747}{2} x^{6}-\frac{2133}{5} x^{5}-132 x^{4}+\frac{392}{3} x^{3}+136 x^{2}+48 x"," ",0,"-810/7*x^7-747/2*x^6-2133/5*x^5-132*x^4+392/3*x^3+136*x^2+48*x","A"
1148,1,30,28,0.001000," ","int((1-2*x)*(3*x+2)^3*(5*x+3),x)","-45 x^{6}-\frac{567}{5} x^{5}-\frac{333}{4} x^{4}+\frac{46}{3} x^{3}+50 x^{2}+24 x"," ",0,"-45*x^6-567/5*x^5-333/4*x^4+46/3*x^3+50*x^2+24*x","A"
1149,1,25,24,0.001000," ","int((1-2*x)*(3*x+2)^2*(5*x+3),x)","-18 x^{5}-\frac{129}{4} x^{4}-\frac{25}{3} x^{3}+16 x^{2}+12 x"," ",0,"12*x+16*x^2-25/3*x^3-129/4*x^4-18*x^5","A"
1150,1,20,19,0.001000," ","int((1-2*x)*(3*x+2)*(5*x+3),x)","-\frac{15}{2} x^{4}-\frac{23}{3} x^{3}+\frac{7}{2} x^{2}+6 x"," ",0,"6*x+7/2*x^2-23/3*x^3-15/2*x^4","A"
1151,1,15,14,0.000000," ","int((1-2*x)*(5*x+3),x)","-\frac{10}{3} x^{3}-\frac{1}{2} x^{2}+3 x"," ",0,"3*x-1/2*x^2-10/3*x^3","A"
1152,1,18,17,0.004000," ","int((1-2*x)*(5*x+3)/(3*x+2),x)","-\frac{5 x^{2}}{3}+\frac{17 x}{9}-\frac{7 \ln \left(3 x +2\right)}{27}"," ",0,"17/9*x-5/3*x^2-7/27*ln(3*x+2)","A"
1153,1,22,21,0.007000," ","int((1-2*x)*(5*x+3)/(3*x+2)^2,x)","-\frac{10 x}{9}+\frac{37 \ln \left(3 x +2\right)}{27}+\frac{7}{27 \left(3 x +2\right)}"," ",0,"-10/9*x+7/27/(3*x+2)+37/27*ln(3*x+2)","A"
1154,1,28,27,0.007000," ","int((1-2*x)*(5*x+3)/(3*x+2)^3,x)","-\frac{10 \ln \left(3 x +2\right)}{27}+\frac{7}{54 \left(3 x +2\right)^{2}}-\frac{37}{27 \left(3 x +2\right)}"," ",0,"7/54/(3*x+2)^2-37/27/(3*x+2)-10/27*ln(3*x+2)","A"
1155,1,29,28,0.004000," ","int((1-2*x)*(5*x+3)/(3*x+2)^4,x)","\frac{7}{81 \left(3 x +2\right)^{3}}-\frac{37}{54 \left(3 x +2\right)^{2}}+\frac{10}{27 \left(3 x +2\right)}"," ",0,"7/81/(3*x+2)^3-37/54/(3*x+2)^2+10/27/(3*x+2)","A"
1156,1,29,28,0.005000," ","int((1-2*x)*(5*x+3)/(3*x+2)^5,x)","\frac{7}{108 \left(3 x +2\right)^{4}}-\frac{37}{81 \left(3 x +2\right)^{3}}+\frac{5}{27 \left(3 x +2\right)^{2}}"," ",0,"7/108/(3*x+2)^4-37/81/(3*x+2)^3+5/27/(3*x+2)^2","A"
1157,1,29,28,0.004000," ","int((1-2*x)*(5*x+3)/(3*x+2)^6,x)","\frac{7}{135 \left(3 x +2\right)^{5}}-\frac{37}{108 \left(3 x +2\right)^{4}}+\frac{10}{81 \left(3 x +2\right)^{3}}"," ",0,"7/135/(3*x+2)^5-37/108/(3*x+2)^4+10/81/(3*x+2)^3","A"
1158,1,60,37,0.002000," ","int((1-2*x)*(3*x+2)^8*(5*x+3)^2,x)","-\frac{54675}{2} x^{12}-\frac{1979235}{11} x^{11}-\frac{2614194}{5} x^{10}-869103 x^{9}-881442 x^{8}-507600 x^{7}-71904 x^{6}+\frac{679008}{5} x^{5}+127168 x^{4}+\frac{173056}{3} x^{3}+15360 x^{2}+2304 x"," ",0,"-54675/2*x^12-1979235/11*x^11-2614194/5*x^10-869103*x^9-881442*x^8-507600*x^7-71904*x^6+679008/5*x^5+127168*x^4+173056/3*x^3+15360*x^2+2304*x","A"
1159,1,55,37,0.001000," ","int((1-2*x)*(3*x+2)^7*(5*x+3)^2,x)","-\frac{109350}{11} x^{11}-\frac{117369}{2} x^{10}-150174 x^{9}-\frac{1706265}{8} x^{8}-173286 x^{7}-62622 x^{6}+21336 x^{5}+38804 x^{4}+\frac{66080}{3} x^{3}+6816 x^{2}+1152 x"," ",0,"-109350/11*x^11-117369/2*x^10-150174*x^9-1706265/8*x^8-173286*x^7-62622*x^6+21336*x^5+38804*x^4+66080/3*x^3+6816*x^2+1152*x","A"
1160,1,50,37,0.001000," ","int((1-2*x)*(3*x+2)^6*(5*x+3)^2,x)","-3645 x^{10}-19035 x^{9}-42039 x^{8}-49221 x^{7}-29106 x^{6}-1764 x^{5}+10360 x^{4}+\frac{24112}{3} x^{3}+2976 x^{2}+576 x"," ",0,"-3645*x^10-19035*x^9-42039*x^8-49221*x^7-29106*x^6-1764*x^5+10360*x^4+24112/3*x^3+2976*x^2+576*x","A"
1161,1,45,37,0.001000," ","int((1-2*x)*(3*x+2)^5*(5*x+3)^2,x)","-1350 x^{9}-\frac{49005}{8} x^{8}-\frac{79434}{7} x^{7}-\frac{20631}{2} x^{6}-3390 x^{5}+2090 x^{4}+\frac{8240}{3} x^{3}+1272 x^{2}+288 x"," ",0,"-1350*x^9-49005/8*x^8-79434/7*x^7-20631/2*x^6-3390*x^5+2090*x^4+8240/3*x^3+1272*x^2+288*x","A"
1162,1,40,37,0.002000," ","int((1-2*x)*(3*x+2)^4*(5*x+3)^2,x)","-\frac{2025}{4} x^{8}-\frac{13635}{7} x^{7}-2898 x^{6}-\frac{9039}{5} x^{5}+94 x^{4}+\frac{2536}{3} x^{3}+528 x^{2}+144 x"," ",0,"-2025/4*x^8-13635/7*x^7-2898*x^6-9039/5*x^5+94*x^4+2536/3*x^3+528*x^2+144*x","A"
1163,1,35,34,0.000000," ","int((1-2*x)*(3*x+2)^3*(5*x+3)^2,x)","-\frac{1350}{7} x^{7}-\frac{1215}{2} x^{6}-\frac{3366}{5} x^{5}-\frac{769}{4} x^{4}+\frac{638}{3} x^{3}+210 x^{2}+72 x"," ",0,"72*x+210*x^2+638/3*x^3-769/4*x^4-3366/5*x^5-1215/2*x^6-1350/7*x^7","A"
1164,1,30,29,0.000000," ","int((1-2*x)*(3*x+2)^2*(5*x+3)^2,x)","-75 x^{6}-183 x^{5}-128 x^{4}+\frac{85}{3} x^{3}+78 x^{2}+36 x"," ",0,"36*x+78*x^2+85/3*x^3-128*x^4-183*x^5-75*x^6","A"
1165,1,25,24,0.001000," ","int((1-2*x)*(3*x+2)*(5*x+3)^2,x)","-30 x^{5}-\frac{205}{4} x^{4}-\frac{34}{3} x^{3}+\frac{51}{2} x^{2}+18 x"," ",0,"18*x+51/2*x^2-34/3*x^3-205/4*x^4-30*x^5","A"
1166,1,20,19,0.002000," ","int((1-2*x)*(5*x+3)^2,x)","-\frac{25}{2} x^{4}-\frac{35}{3} x^{3}+6 x^{2}+9 x"," ",0,"9*x+6*x^2-35/3*x^3-25/2*x^4","A"
1167,1,23,22,0.002000," ","int((1-2*x)*(5*x+3)^2/(3*x+2),x)","-\frac{50 x^{3}}{9}-\frac{5 x^{2}}{18}+\frac{118 x}{27}+\frac{7 \ln \left(3 x +2\right)}{81}"," ",0,"118/27*x-5/18*x^2-50/9*x^3+7/81*ln(3*x+2)","A"
1168,1,27,26,0.007000," ","int((1-2*x)*(5*x+3)^2/(3*x+2)^2,x)","-\frac{25 x^{2}}{9}+\frac{95 x}{27}-\frac{8 \ln \left(3 x +2\right)}{9}-\frac{7}{81 \left(3 x +2\right)}"," ",0,"95/27*x-25/9*x^2-7/81/(3*x+2)-8/9*ln(3*x+2)","A"
1169,1,31,30,0.006000," ","int((1-2*x)*(5*x+3)^2/(3*x+2)^3,x)","-\frac{50 x}{27}+\frac{65 \ln \left(3 x +2\right)}{27}-\frac{7}{162 \left(3 x +2\right)^{2}}+\frac{8}{9 \left(3 x +2\right)}"," ",0,"-50/27*x-7/162/(3*x+2)^2+8/9/(3*x+2)+65/27*ln(3*x+2)","A"
1170,1,37,36,0.005000," ","int((1-2*x)*(5*x+3)^2/(3*x+2)^4,x)","-\frac{50 \ln \left(3 x +2\right)}{81}-\frac{7}{243 \left(3 x +2\right)^{3}}+\frac{4}{9 \left(3 x +2\right)^{2}}-\frac{65}{27 \left(3 x +2\right)}"," ",0,"-7/243/(3*x+2)^3+4/9/(3*x+2)^2-65/27/(3*x+2)-50/81*ln(3*x+2)","A"
1171,1,38,33,0.005000," ","int((1-2*x)*(5*x+3)^2/(3*x+2)^5,x)","\frac{8}{27 \left(3 x +2\right)^{3}}-\frac{7}{324 \left(3 x +2\right)^{4}}-\frac{65}{54 \left(3 x +2\right)^{2}}+\frac{50}{81 \left(3 x +2\right)}"," ",0,"8/27/(3*x+2)^3-7/324/(3*x+2)^4-65/54/(3*x+2)^2+50/81/(3*x+2)","A"
1172,1,38,37,0.005000," ","int((1-2*x)*(5*x+3)^2/(3*x+2)^6,x)","-\frac{7}{405 \left(3 x +2\right)^{5}}+\frac{2}{9 \left(3 x +2\right)^{4}}-\frac{65}{81 \left(3 x +2\right)^{3}}+\frac{25}{81 \left(3 x +2\right)^{2}}"," ",0,"-7/405/(3*x+2)^5+2/9/(3*x+2)^4-65/81/(3*x+2)^3+25/81/(3*x+2)^2","A"
1173,1,38,37,0.006000," ","int((1-2*x)*(5*x+3)^2/(3*x+2)^7,x)","-\frac{7}{486 \left(3 x +2\right)^{6}}+\frac{8}{45 \left(3 x +2\right)^{5}}-\frac{65}{108 \left(3 x +2\right)^{4}}+\frac{50}{243 \left(3 x +2\right)^{3}}"," ",0,"-7/486/(3*x+2)^6+8/45/(3*x+2)^5-65/108/(3*x+2)^4+50/243/(3*x+2)^3","A"
1174,1,38,37,0.005000," ","int((1-2*x)*(5*x+3)^2/(3*x+2)^8,x)","-\frac{1}{81 \left(3 x +2\right)^{7}}+\frac{4}{27 \left(3 x +2\right)^{6}}-\frac{13}{27 \left(3 x +2\right)^{5}}+\frac{25}{162 \left(3 x +2\right)^{4}}"," ",0,"-1/81/(3*x+2)^7+4/27/(3*x+2)^6-13/27/(3*x+2)^5+25/162/(3*x+2)^4","A"
1175,1,65,46,0.001000," ","int((1-2*x)*(3*x+2)^8*(5*x+3)^3,x)","-\frac{1640250}{13} x^{13}-\frac{3626775}{4} x^{12}-\frac{32079645}{11} x^{11}-\frac{54794799}{10} x^{10}-6524829 x^{9}-4865076 x^{8}-1830960 x^{7}+350128 x^{6}+\frac{4580384}{5} x^{5}+597824 x^{4}+224256 x^{3}+51840 x^{2}+6912 x"," ",0,"-1640250/13*x^13-3626775/4*x^12-32079645/11*x^11-54794799/10*x^10-6524829*x^9-4865076*x^8-1830960*x^7+350128*x^6+4580384/5*x^5+597824*x^4+224256*x^3+51840*x^2+6912*x","A"
1176,1,60,46,0.000000," ","int((1-2*x)*(3*x+2)^7*(5*x+3)^3,x)","-\frac{91125}{2} x^{12}-\frac{3262275}{11} x^{11}-\frac{1703673}{2} x^{10}-1398447 x^{9}-\frac{11183805}{8} x^{8}-788238 x^{7}-98966 x^{6}+219224 x^{5}+199012 x^{4}+88800 x^{3}+23328 x^{2}+3456 x"," ",0,"-91125/2*x^12-3262275/11*x^11-1703673/2*x^10-1398447*x^9-11183805/8*x^8-788238*x^7-98966*x^6+219224*x^5+199012*x^4+88800*x^3+23328*x^2+3456*x","A"
1177,1,55,46,0.000000," ","int((1-2*x)*(3*x+2)^6*(5*x+3)^3,x)","-\frac{182250}{11} x^{11}-\frac{193185}{2} x^{10}-243945 x^{9}-\frac{2731671}{8} x^{8}-272403 x^{7}-94668 x^{6}+36148 x^{5}+61220 x^{4}+34032 x^{3}+10368 x^{2}+1728 x"," ",0,"-182250/11*x^11-193185/2*x^10-243945*x^9-2731671/8*x^8-272403*x^7-94668*x^6+36148*x^5+61220*x^4+34032*x^3+10368*x^2+1728*x","A"
1178,1,50,46,0.001000," ","int((1-2*x)*(3*x+2)^5*(5*x+3)^3,x)","-6075 x^{10}-31275 x^{9}-\frac{544185}{8} x^{8}-\frac{547767}{7} x^{7}-\frac{90143}{2} x^{6}-1810 x^{5}+16570 x^{4}+12480 x^{3}+4536 x^{2}+864 x"," ",0,"-6075*x^10-31275*x^9-544185/8*x^8-547767/7*x^7-90143/2*x^6-1810*x^5+16570*x^4+12480*x^3+4536*x^2+864*x","A"
1179,1,45,46,0.001000," ","int((1-2*x)*(3*x+2)^4*(5*x+3)^3,x)","-2250 x^{9}-\frac{80325}{8} x^{8}-\frac{127845}{7} x^{7}-\frac{32453}{2} x^{6}-\frac{25237}{5} x^{5}+3452 x^{4}+4296 x^{3}+1944 x^{2}+432 x"," ",0,"-2250*x^9-80325/8*x^8-127845/7*x^7-32453/2*x^6-25237/5*x^5+3452*x^4+4296*x^3+1944*x^2+432*x","A"
1180,1,40,39,0.001000," ","int((1-2*x)*(3*x+2)^3*(5*x+3)^3,x)","-\frac{3375}{4} x^{8}-\frac{22275}{7} x^{7}-\frac{9255}{2} x^{6}-\frac{13943}{5} x^{5}+\frac{883}{4} x^{4}+1338 x^{3}+810 x^{2}+216 x"," ",0,"216*x+810*x^2+1338*x^3+883/4*x^4-13943/5*x^5-9255/2*x^6-22275/7*x^7-3375/4*x^8","A"
1181,1,35,34,0.000000," ","int((1-2*x)*(3*x+2)^2*(5*x+3)^3,x)","-\frac{2250}{7} x^{7}-\frac{1975}{2} x^{6}-1061 x^{5}-\frac{1111}{4} x^{4}+345 x^{3}+324 x^{2}+108 x"," ",0,"108*x+324*x^2+345*x^3-1111/4*x^4-1061*x^5-1975/2*x^6-2250/7*x^7","A"
1182,1,30,28,0.001000," ","int((1-2*x)*(3*x+2)*(5*x+3)^3,x)","-125 x^{6}-295 x^{5}-\frac{785}{4} x^{4}+51 x^{3}+\frac{243}{2} x^{2}+54 x"," ",0,"-125*x^6-295*x^5-785/4*x^4+51*x^3+243/2*x^2+54*x","A"
1183,1,25,19,0.000000," ","int((1-2*x)*(5*x+3)^3,x)","-50 x^{5}-\frac{325}{4} x^{4}-15 x^{3}+\frac{81}{2} x^{2}+27 x"," ",0,"-50*x^5-325/4*x^4-15*x^3+81/2*x^2+27*x","A"
1184,1,28,27,0.004000," ","int((1-2*x)*(5*x+3)^3/(3*x+2),x)","-\frac{125 x^{4}}{6}-\frac{475 x^{3}}{27}+\frac{545 x^{2}}{54}+\frac{1097 x}{81}-\frac{7 \ln \left(3 x +2\right)}{243}"," ",0,"1097/81*x+545/54*x^2-475/27*x^3-125/6*x^4-7/243*ln(3*x+2)","A"
1185,1,32,31,0.006000," ","int((1-2*x)*(5*x+3)^3/(3*x+2)^2,x)","-\frac{250 x^{3}}{27}+\frac{25 x^{2}}{54}+\frac{55 x}{9}+\frac{107 \ln \left(3 x +2\right)}{243}+\frac{7}{243 \left(3 x +2\right)}"," ",0,"55/9*x+25/54*x^2-250/27*x^3+7/243/(3*x+2)+107/243*ln(3*x+2)","A"
1186,1,36,35,0.008000," ","int((1-2*x)*(5*x+3)^3/(3*x+2)^3,x)","-\frac{125 x^{2}}{27}+\frac{175 x}{27}-\frac{185 \ln \left(3 x +2\right)}{81}+\frac{7}{486 \left(3 x +2\right)^{2}}-\frac{107}{243 \left(3 x +2\right)}"," ",0,"175/27*x-125/27*x^2+7/486/(3*x+2)^2-107/243/(3*x+2)-185/81*ln(3*x+2)","A"
1187,1,40,39,0.008000," ","int((1-2*x)*(5*x+3)^3/(3*x+2)^4,x)","-\frac{250 x}{81}+\frac{1025 \ln \left(3 x +2\right)}{243}+\frac{7}{729 \left(3 x +2\right)^{3}}-\frac{107}{486 \left(3 x +2\right)^{2}}+\frac{185}{81 \left(3 x +2\right)}"," ",0,"-250/81*x+7/729/(3*x+2)^3-107/486/(3*x+2)^2+185/81/(3*x+2)+1025/243*ln(3*x+2)","A"
1188,1,46,45,0.006000," ","int((1-2*x)*(5*x+3)^3/(3*x+2)^5,x)","-\frac{250 \ln \left(3 x +2\right)}{243}+\frac{7}{972 \left(3 x +2\right)^{4}}-\frac{107}{729 \left(3 x +2\right)^{3}}+\frac{185}{162 \left(3 x +2\right)^{2}}-\frac{1025}{243 \left(3 x +2\right)}"," ",0,"7/972/(3*x+2)^4-107/729/(3*x+2)^3+185/162/(3*x+2)^2-1025/243/(3*x+2)-250/243*ln(3*x+2)","A"
1189,1,47,33,0.005000," ","int((1-2*x)*(5*x+3)^3/(3*x+2)^6,x)","\frac{185}{243 \left(3 x +2\right)^{3}}-\frac{107}{972 \left(3 x +2\right)^{4}}-\frac{1025}{486 \left(3 x +2\right)^{2}}+\frac{250}{243 \left(3 x +2\right)}+\frac{7}{1215 \left(3 x +2\right)^{5}}"," ",0,"185/243/(3*x+2)^3-107/972/(3*x+2)^4-1025/486/(3*x+2)^2+250/243/(3*x+2)+7/1215/(3*x+2)^5","A"
1190,1,47,49,0.007000," ","int((1-2*x)*(5*x+3)^3/(3*x+2)^7,x)","\frac{7}{1458 \left(3 x +2\right)^{6}}-\frac{1025}{729 \left(3 x +2\right)^{3}}+\frac{185}{324 \left(3 x +2\right)^{4}}+\frac{125}{243 \left(3 x +2\right)^{2}}-\frac{107}{1215 \left(3 x +2\right)^{5}}"," ",0,"7/1458/(3*x+2)^6-1025/729/(3*x+2)^3+185/324/(3*x+2)^4+125/243/(3*x+2)^2-107/1215/(3*x+2)^5","A"
1191,1,47,46,0.006000," ","int((1-2*x)*(5*x+3)^3/(3*x+2)^8,x)","\frac{1}{243 \left(3 x +2\right)^{7}}-\frac{107}{1458 \left(3 x +2\right)^{6}}+\frac{37}{81 \left(3 x +2\right)^{5}}-\frac{1025}{972 \left(3 x +2\right)^{4}}+\frac{250}{729 \left(3 x +2\right)^{3}}"," ",0,"1/243/(3*x+2)^7-107/1458/(3*x+2)^6+37/81/(3*x+2)^5-1025/972/(3*x+2)^4+250/729/(3*x+2)^3","A"
1192,1,55,16,0.002000," ","int((5-2*x)^6*(3*x+2)^3*(-16+33*x),x)","5184 x^{11}-76896 x^{10}+452304 x^{9}-1256376 x^{8}+1235404 x^{7}+1497230 x^{6}-3816225 x^{5}-\frac{98125}{2} x^{4}+3987500 x^{3}-37500 x^{2}-2000000 x"," ",0,"5184*x^11-76896*x^10+452304*x^9-1256376*x^8+1235404*x^7+1497230*x^6-3816225*x^5-98125/2*x^4+3987500*x^3-37500*x^2-2000000*x","B"
1193,1,43,42,0.002000," ","int((1-2*x)*(3*x+2)^6/(5*x+3),x)","-\frac{1458 x^{7}}{35}-\frac{7047 x^{6}}{50}-\frac{106677 x^{5}}{625}-\frac{152469 x^{4}}{2500}+\frac{152469 x^{3}}{3125}+\frac{1777779 x^{2}}{31250}+\frac{1666663 x}{78125}+\frac{11 \ln \left(5 x +3\right)}{390625}"," ",0,"1666663/78125*x+1777779/31250*x^2+152469/3125*x^3-152469/2500*x^4-106677/625*x^5-7047/50*x^6-1458/35*x^7+11/390625*ln(5*x+3)","A"
1194,1,38,37,0.003000," ","int((1-2*x)*(3*x+2)^5/(5*x+3),x)","-\frac{81 x^{6}}{5}-\frac{5427 x^{5}}{125}-\frac{17469 x^{4}}{500}+\frac{2469 x^{3}}{625}+\frac{127779 x^{2}}{6250}+\frac{166663 x}{15625}+\frac{11 \ln \left(5 x +3\right)}{78125}"," ",0,"166663/15625*x+127779/6250*x^2+2469/625*x^3-17469/500*x^4-5427/125*x^5-81/5*x^6+11/78125*ln(5*x+3)","A"
1195,1,33,32,0.003000," ","int((1-2*x)*(3*x+2)^4/(5*x+3),x)","-\frac{162 x^{5}}{25}-\frac{1269 x^{4}}{100}-\frac{531 x^{3}}{125}+\frac{7779 x^{2}}{1250}+\frac{16663 x}{3125}+\frac{11 \ln \left(5 x +3\right)}{15625}"," ",0,"16663/3125*x+7779/1250*x^2-531/125*x^3-1269/100*x^4-162/25*x^5+11/15625*ln(5*x+3)","A"
1196,1,28,27,0.003000," ","int((1-2*x)*(3*x+2)^3/(5*x+3),x)","-\frac{27 x^{4}}{10}-\frac{81 x^{3}}{25}+\frac{279 x^{2}}{250}+\frac{1663 x}{625}+\frac{11 \ln \left(5 x +3\right)}{3125}"," ",0,"1663/625*x+279/250*x^2-81/25*x^3-27/10*x^4+11/3125*ln(5*x+3)","A"
1197,1,23,22,0.002000," ","int((1-2*x)*(3*x+2)^2/(5*x+3),x)","-\frac{6 x^{3}}{5}-\frac{21 x^{2}}{50}+\frac{163 x}{125}+\frac{11 \ln \left(5 x +3\right)}{625}"," ",0,"163/125*x-21/50*x^2-6/5*x^3+11/625*ln(5*x+3)","A"
1198,1,18,17,0.003000," ","int((1-2*x)*(3*x+2)/(5*x+3),x)","-\frac{3 x^{2}}{5}+\frac{13 x}{25}+\frac{11 \ln \left(5 x +3\right)}{125}"," ",0,"13/25*x-3/5*x^2+11/125*ln(5*x+3)","A"
1199,1,13,12,0.002000," ","int((1-2*x)/(5*x+3),x)","-\frac{2 x}{5}+\frac{11 \ln \left(5 x +3\right)}{25}"," ",0,"-2/5*x+11/25*ln(5*x+3)","A"
1200,1,18,17,0.005000," ","int((1-2*x)/(3*x+2)/(5*x+3),x)","-\frac{7 \ln \left(3 x +2\right)}{3}+\frac{11 \ln \left(5 x +3\right)}{5}"," ",0,"-7/3*ln(3*x+2)+11/5*ln(5*x+3)","A"
1201,1,27,26,0.008000," ","int((1-2*x)/(3*x+2)^2/(5*x+3),x)","-11 \ln \left(3 x +2\right)+11 \ln \left(5 x +3\right)+\frac{7}{3 \left(3 x +2\right)}"," ",0,"7/3/(3*x+2)-11*ln(3*x+2)+11*ln(5*x+3)","A"
1202,1,36,35,0.009000," ","int((1-2*x)/(3*x+2)^3/(5*x+3),x)","-55 \ln \left(3 x +2\right)+55 \ln \left(5 x +3\right)+\frac{7}{6 \left(3 x +2\right)^{2}}+\frac{11}{3 x +2}"," ",0,"7/6/(3*x+2)^2+11/(3*x+2)-55*ln(3*x+2)+55*ln(5*x+3)","A"
1203,1,45,44,0.008000," ","int((1-2*x)/(3*x+2)^4/(5*x+3),x)","-275 \ln \left(3 x +2\right)+275 \ln \left(5 x +3\right)+\frac{7}{9 \left(3 x +2\right)^{3}}+\frac{11}{2 \left(3 x +2\right)^{2}}+\frac{55}{3 x +2}"," ",0,"7/9/(3*x+2)^3+11/2/(3*x+2)^2+55/(3*x+2)-275*ln(3*x+2)+275*ln(5*x+3)","A"
1204,1,54,53,0.007000," ","int((1-2*x)/(3*x+2)^5/(5*x+3),x)","-1375 \ln \left(3 x +2\right)+1375 \ln \left(5 x +3\right)+\frac{7}{12 \left(3 x +2\right)^{4}}+\frac{11}{3 \left(3 x +2\right)^{3}}+\frac{55}{2 \left(3 x +2\right)^{2}}+\frac{275}{3 x +2}"," ",0,"7/12/(3*x+2)^4+11/3/(3*x+2)^3+55/2/(3*x+2)^2+275/(3*x+2)-1375*ln(3*x+2)+1375*ln(5*x+3)","A"
1205,1,63,62,0.008000," ","int((1-2*x)/(3*x+2)^6/(5*x+3),x)","-6875 \ln \left(3 x +2\right)+6875 \ln \left(5 x +3\right)+\frac{7}{15 \left(3 x +2\right)^{5}}+\frac{11}{4 \left(3 x +2\right)^{4}}+\frac{55}{3 \left(3 x +2\right)^{3}}+\frac{275}{2 \left(3 x +2\right)^{2}}+\frac{1375}{3 x +2}"," ",0,"7/15/(3*x+2)^5+11/4/(3*x+2)^4+55/3/(3*x+2)^3+275/2/(3*x+2)^2+1375/(3*x+2)-6875*ln(3*x+2)+6875*ln(5*x+3)","A"
1206,1,72,71,0.008000," ","int((1-2*x)/(3*x+2)^7/(5*x+3),x)","-34375 \ln \left(3 x +2\right)+34375 \ln \left(5 x +3\right)+\frac{7}{18 \left(3 x +2\right)^{6}}+\frac{11}{5 \left(3 x +2\right)^{5}}+\frac{55}{4 \left(3 x +2\right)^{4}}+\frac{275}{3 \left(3 x +2\right)^{3}}+\frac{1375}{2 \left(3 x +2\right)^{2}}+\frac{6875}{3 x +2}"," ",0,"7/18/(3*x+2)^6+11/5/(3*x+2)^5+55/4/(3*x+2)^4+275/3/(3*x+2)^3+1375/2/(3*x+2)^2+6875/(3*x+2)-34375*ln(3*x+2)+34375*ln(5*x+3)","A"
1207,1,52,51,0.012000," ","int((1-2*x)*(3*x+2)^7/(5*x+3)^2,x)","-\frac{4374 x^{7}}{175}-\frac{21627 x^{6}}{250}-\frac{336798 x^{5}}{3125}-\frac{513783 x^{4}}{12500}+\frac{92592 x^{3}}{3125}+\frac{5740767 x^{2}}{156250}+\frac{5555478 x}{390625}+\frac{229 \ln \left(5 x +3\right)}{1953125}-\frac{11}{1953125 \left(5 x +3\right)}"," ",0,"5555478/390625*x+5740767/156250*x^2+92592/3125*x^3-513783/12500*x^4-336798/3125*x^5-21627/250*x^6-4374/175*x^7-11/1953125/(5*x+3)+229/1953125*ln(5*x+3)","A"
1208,1,47,46,0.006000," ","int((1-2*x)*(3*x+2)^6/(5*x+3)^2,x)","-\frac{243 x^{6}}{25}-\frac{16767 x^{5}}{625}-\frac{14094 x^{4}}{625}+\frac{5553 x^{3}}{3125}+\frac{40743 x^{2}}{3125}+\frac{555489 x}{78125}+\frac{196 \ln \left(5 x +3\right)}{390625}-\frac{11}{390625 \left(5 x +3\right)}"," ",0,"555489/78125*x+40743/3125*x^2+5553/3125*x^3-14094/625*x^4-16767/625*x^5-243/25*x^6-11/390625/(5*x+3)+196/390625*ln(5*x+3)","A"
1209,1,42,41,0.006000," ","int((1-2*x)*(3*x+2)^5/(5*x+3)^2,x)","-\frac{486 x^{5}}{125}-\frac{3969 x^{4}}{500}-\frac{1854 x^{3}}{625}+\frac{24093 x^{2}}{6250}+\frac{444 x}{125}+\frac{163 \ln \left(5 x +3\right)}{78125}-\frac{11}{78125 \left(5 x +3\right)}"," ",0,"444/125*x+24093/6250*x^2-1854/625*x^3-3969/500*x^4-486/125*x^5-11/78125/(5*x+3)+163/78125*ln(5*x+3)","A"
1210,1,37,36,0.006000," ","int((1-2*x)*(3*x+2)^4/(5*x+3)^2,x)","-\frac{81 x^{4}}{50}-\frac{261 x^{3}}{125}+\frac{378 x^{2}}{625}+\frac{5511 x}{3125}+\frac{26 \ln \left(5 x +3\right)}{3125}-\frac{11}{15625 \left(5 x +3\right)}"," ",0,"5511/3125*x+378/625*x^2-261/125*x^3-81/50*x^4-11/15625/(5*x+3)+26/3125*ln(5*x+3)","A"
1211,1,32,31,0.006000," ","int((1-2*x)*(3*x+2)^3/(5*x+3)^2,x)","-\frac{18 x^{3}}{25}-\frac{81 x^{2}}{250}+\frac{522 x}{625}+\frac{97 \ln \left(5 x +3\right)}{3125}-\frac{11}{3125 \left(5 x +3\right)}"," ",0,"522/625*x-81/250*x^2-18/25*x^3-11/3125/(5*x+3)+97/3125*ln(5*x+3)","A"
1212,1,27,26,0.005000," ","int((1-2*x)*(3*x+2)^2/(5*x+3)^2,x)","-\frac{9 x^{2}}{25}+\frac{33 x}{125}+\frac{64 \ln \left(5 x +3\right)}{625}-\frac{11}{625 \left(5 x +3\right)}"," ",0,"33/125*x-9/25*x^2-11/625/(5*x+3)+64/625*ln(5*x+3)","A"
1213,1,22,21,0.006000," ","int((1-2*x)*(3*x+2)/(5*x+3)^2,x)","-\frac{6 x}{25}+\frac{31 \ln \left(5 x +3\right)}{125}-\frac{11}{125 \left(5 x +3\right)}"," ",0,"-6/25*x-11/125/(5*x+3)+31/125*ln(5*x+3)","A"
1214,1,19,18,0.006000," ","int((1-2*x)/(5*x+3)^2,x)","-\frac{2 \ln \left(5 x +3\right)}{25}-\frac{11}{25 \left(5 x +3\right)}"," ",0,"-11/25/(5*x+3)-2/25*ln(5*x+3)","A"
1215,1,27,26,0.007000," ","int((1-2*x)/(3*x+2)/(5*x+3)^2,x)","7 \ln \left(3 x +2\right)-7 \ln \left(5 x +3\right)-\frac{11}{5 \left(5 x +3\right)}"," ",0,"-11/5/(5*x+3)+7*ln(3*x+2)-7*ln(5*x+3)","A"
1216,1,36,35,0.009000," ","int((1-2*x)/(3*x+2)^2/(5*x+3)^2,x)","68 \ln \left(3 x +2\right)-68 \ln \left(5 x +3\right)-\frac{7}{3 x +2}-\frac{11}{5 x +3}"," ",0,"-7/(3*x+2)-11/(5*x+3)+68*ln(3*x+2)-68*ln(5*x+3)","A"
1217,1,45,44,0.009000," ","int((1-2*x)/(3*x+2)^3/(5*x+3)^2,x)","505 \ln \left(3 x +2\right)-505 \ln \left(5 x +3\right)-\frac{7}{2 \left(3 x +2\right)^{2}}-\frac{68}{3 x +2}-\frac{55}{5 x +3}"," ",0,"-7/2/(3*x+2)^2-68/(3*x+2)-55/(5*x+3)+505*ln(3*x+2)-505*ln(5*x+3)","A"
1218,1,54,53,0.010000," ","int((1-2*x)/(3*x+2)^4/(5*x+3)^2,x)","3350 \ln \left(3 x +2\right)-3350 \ln \left(5 x +3\right)-\frac{7}{3 \left(3 x +2\right)^{3}}-\frac{34}{\left(3 x +2\right)^{2}}-\frac{505}{3 x +2}-\frac{275}{5 x +3}"," ",0,"-7/3/(3*x+2)^3-34/(3*x+2)^2-505/(3*x+2)-275/(5*x+3)+3350*ln(3*x+2)-3350*ln(5*x+3)","A"
1219,1,63,62,0.009000," ","int((1-2*x)/(3*x+2)^5/(5*x+3)^2,x)","20875 \ln \left(3 x +2\right)-20875 \ln \left(5 x +3\right)-\frac{7}{4 \left(3 x +2\right)^{4}}-\frac{68}{3 \left(3 x +2\right)^{3}}-\frac{505}{2 \left(3 x +2\right)^{2}}-\frac{3350}{3 x +2}-\frac{1375}{5 x +3}"," ",0,"-7/4/(3*x+2)^4-68/3/(3*x+2)^3-505/2/(3*x+2)^2-3350/(3*x+2)-1375/(5*x+3)+20875*ln(3*x+2)-20875*ln(5*x+3)","A"
1220,1,72,71,0.008000," ","int((1-2*x)/(3*x+2)^6/(5*x+3)^2,x)","125000 \ln \left(3 x +2\right)-125000 \ln \left(5 x +3\right)-\frac{7}{5 \left(3 x +2\right)^{5}}-\frac{17}{\left(3 x +2\right)^{4}}-\frac{505}{3 \left(3 x +2\right)^{3}}-\frac{1675}{\left(3 x +2\right)^{2}}-\frac{20875}{3 x +2}-\frac{6875}{5 x +3}"," ",0,"-7/5/(3*x+2)^5-17/(3*x+2)^4-505/3/(3*x+2)^3-1675/(3*x+2)^2-20875/(3*x+2)-6875/(5*x+3)+125000*ln(3*x+2)-125000*ln(5*x+3)","A"
1221,1,81,80,0.010000," ","int((1-2*x)/(3*x+2)^7/(5*x+3)^2,x)","728125 \ln \left(3 x +2\right)-728125 \ln \left(5 x +3\right)-\frac{7}{6 \left(3 x +2\right)^{6}}-\frac{68}{5 \left(3 x +2\right)^{5}}-\frac{505}{4 \left(3 x +2\right)^{4}}-\frac{3350}{3 \left(3 x +2\right)^{3}}-\frac{20875}{2 \left(3 x +2\right)^{2}}-\frac{125000}{3 x +2}-\frac{34375}{5 x +3}"," ",0,"-7/6/(3*x+2)^6-68/5/(3*x+2)^5-505/4/(3*x+2)^4-3350/3/(3*x+2)^3-20875/2/(3*x+2)^2-125000/(3*x+2)-34375/(5*x+3)+728125*ln(3*x+2)-728125*ln(5*x+3)","A"
1222,1,56,55,0.007000," ","int((1-2*x)*(3*x+2)^7/(5*x+3)^3,x)","-\frac{729 x^{6}}{125}-\frac{51759 x^{5}}{3125}-\frac{181521 x^{4}}{12500}+\frac{2052 x^{3}}{3125}+\frac{129654 x^{2}}{15625}+\frac{1851147 x}{390625}+\frac{2037 \ln \left(5 x +3\right)}{1953125}-\frac{11}{3906250 \left(5 x +3\right)^{2}}-\frac{229}{1953125 \left(5 x +3\right)}"," ",0,"1851147/390625*x+129654/15625*x^2+2052/3125*x^3-181521/12500*x^4-51759/3125*x^5-729/125*x^6-11/3906250/(5*x+3)^2-229/1953125/(5*x+3)+2037/1953125*ln(5*x+3)","A"
1223,1,51,50,0.007000," ","int((1-2*x)*(3*x+2)^6/(5*x+3)^3,x)","-\frac{1458 x^{5}}{625}-\frac{12393 x^{4}}{2500}-\frac{6399 x^{3}}{3125}+\frac{297 x^{2}}{125}+\frac{36936 x}{15625}+\frac{1449 \ln \left(5 x +3\right)}{390625}-\frac{11}{781250 \left(5 x +3\right)^{2}}-\frac{196}{390625 \left(5 x +3\right)}"," ",0,"36936/15625*x+297/125*x^2-6399/3125*x^3-12393/2500*x^4-1458/625*x^5-11/781250/(5*x+3)^2-196/390625/(5*x+3)+1449/390625*ln(5*x+3)","A"
1224,1,46,45,0.008000," ","int((1-2*x)*(3*x+2)^5/(5*x+3)^3,x)","-\frac{243 x^{4}}{250}-\frac{837 x^{3}}{625}+\frac{1971 x^{2}}{6250}+\frac{3636 x}{3125}+\frac{192 \ln \left(5 x +3\right)}{15625}-\frac{11}{156250 \left(5 x +3\right)^{2}}-\frac{163}{78125 \left(5 x +3\right)}"," ",0,"3636/3125*x+1971/6250*x^2-837/625*x^3-243/250*x^4-11/156250/(5*x+3)^2-163/78125/(5*x+3)+192/15625*ln(5*x+3)","A"
1225,1,41,40,0.007000," ","int((1-2*x)*(3*x+2)^4/(5*x+3)^3,x)","-\frac{54 x^{3}}{125}-\frac{297 x^{2}}{1250}+\frac{1647 x}{3125}+\frac{114 \ln \left(5 x +3\right)}{3125}-\frac{11}{31250 \left(5 x +3\right)^{2}}-\frac{26}{3125 \left(5 x +3\right)}"," ",0,"1647/3125*x-297/1250*x^2-54/125*x^3-11/31250/(5*x+3)^2-26/3125/(5*x+3)+114/3125*ln(5*x+3)","A"
1226,1,36,35,0.007000," ","int((1-2*x)*(3*x+2)^3/(5*x+3)^3,x)","-\frac{27 x^{2}}{125}+\frac{81 x}{625}+\frac{279 \ln \left(5 x +3\right)}{3125}-\frac{11}{6250 \left(5 x +3\right)^{2}}-\frac{97}{3125 \left(5 x +3\right)}"," ",0,"81/625*x-27/125*x^2-11/6250/(5*x+3)^2-97/3125/(5*x+3)+279/3125*ln(5*x+3)","A"
1227,1,31,30,0.007000," ","int((1-2*x)*(3*x+2)^2/(5*x+3)^3,x)","-\frac{18 x}{125}+\frac{87 \ln \left(5 x +3\right)}{625}-\frac{11}{1250 \left(5 x +3\right)^{2}}-\frac{64}{625 \left(5 x +3\right)}"," ",0,"-18/125*x-11/1250/(5*x+3)^2-64/625/(5*x+3)+87/625*ln(5*x+3)","A"
1228,1,28,27,0.006000," ","int((1-2*x)*(3*x+2)/(5*x+3)^3,x)","-\frac{6 \ln \left(5 x +3\right)}{125}-\frac{11}{250 \left(5 x +3\right)^{2}}-\frac{31}{125 \left(5 x +3\right)}"," ",0,"-11/250/(5*x+3)^2-31/125/(5*x+3)-6/125*ln(5*x+3)","A"
1229,1,20,16,0.006000," ","int((1-2*x)/(5*x+3)^3,x)","-\frac{11}{50 \left(5 x +3\right)^{2}}+\frac{2}{25 \left(5 x +3\right)}"," ",0,"-11/50/(5*x+3)^2+2/25/(5*x+3)","A"
1230,1,36,35,0.008000," ","int((1-2*x)/(3*x+2)/(5*x+3)^3,x)","-21 \ln \left(3 x +2\right)+21 \ln \left(5 x +3\right)-\frac{11}{10 \left(5 x +3\right)^{2}}+\frac{7}{5 x +3}"," ",0,"-11/10/(5*x+3)^2+7/(5*x+3)-21*ln(3*x+2)+21*ln(5*x+3)","A"
1231,1,45,44,0.009000," ","int((1-2*x)/(3*x+2)^2/(5*x+3)^3,x)","-309 \ln \left(3 x +2\right)+309 \ln \left(5 x +3\right)+\frac{21}{3 x +2}-\frac{11}{2 \left(5 x +3\right)^{2}}+\frac{68}{5 x +3}"," ",0,"21/(3*x+2)-11/2/(5*x+3)^2+68/(5*x+3)-309*ln(3*x+2)+309*ln(5*x+3)","A"
1232,1,54,53,0.010000," ","int((1-2*x)/(3*x+2)^3/(5*x+3)^3,x)","-3060 \ln \left(3 x +2\right)+3060 \ln \left(5 x +3\right)+\frac{21}{2 \left(3 x +2\right)^{2}}+\frac{309}{3 x +2}-\frac{55}{2 \left(5 x +3\right)^{2}}+\frac{505}{5 x +3}"," ",0,"21/2/(3*x+2)^2+309/(3*x+2)-55/2/(5*x+3)^2+505/(5*x+3)-3060*ln(3*x+2)+3060*ln(5*x+3)","A"
1233,1,63,62,0.008000," ","int((1-2*x)/(3*x+2)^4/(5*x+3)^3,x)","-25350 \ln \left(3 x +2\right)+25350 \ln \left(5 x +3\right)+\frac{7}{\left(3 x +2\right)^{3}}+\frac{309}{2 \left(3 x +2\right)^{2}}+\frac{3060}{3 x +2}-\frac{275}{2 \left(5 x +3\right)^{2}}+\frac{3350}{5 x +3}"," ",0,"7/(3*x+2)^3+309/2/(3*x+2)^2+3060/(3*x+2)-275/2/(5*x+3)^2+3350/(5*x+3)-25350*ln(3*x+2)+25350*ln(5*x+3)","A"
1234,1,72,71,0.010000," ","int((1-2*x)/(3*x+2)^5/(5*x+3)^3,x)","-189375 \ln \left(3 x +2\right)+189375 \ln \left(5 x +3\right)+\frac{21}{4 \left(3 x +2\right)^{4}}+\frac{103}{\left(3 x +2\right)^{3}}+\frac{1530}{\left(3 x +2\right)^{2}}+\frac{25350}{3 x +2}-\frac{1375}{2 \left(5 x +3\right)^{2}}+\frac{20875}{5 x +3}"," ",0,"21/4/(3*x+2)^4+103/(3*x+2)^3+1530/(3*x+2)^2+25350/(3*x+2)-1375/2/(5*x+3)^2+20875/(5*x+3)-189375*ln(3*x+2)+189375*ln(5*x+3)","A"
1235,1,81,80,0.010000," ","int((1-2*x)/(3*x+2)^6/(5*x+3)^3,x)","-1321875 \ln \left(3 x +2\right)+1321875 \ln \left(5 x +3\right)+\frac{21}{5 \left(3 x +2\right)^{5}}+\frac{309}{4 \left(3 x +2\right)^{4}}+\frac{1020}{\left(3 x +2\right)^{3}}+\frac{12675}{\left(3 x +2\right)^{2}}+\frac{189375}{3 x +2}-\frac{6875}{2 \left(5 x +3\right)^{2}}+\frac{125000}{5 x +3}"," ",0,"21/5/(3*x+2)^5+309/4/(3*x+2)^4+1020/(3*x+2)^3+12675/(3*x+2)^2+189375/(3*x+2)-6875/2/(5*x+3)^2+125000/(5*x+3)-1321875*ln(3*x+2)+1321875*ln(5*x+3)","A"
1236,1,60,37,0.001000," ","int((1-2*x)^2*(3*x+2)^8*(5*x+3),x)","10935 x^{12}+\frac{647352}{11} x^{11}+\frac{1307097}{10} x^{10}+144315 x^{9}+59616 x^{8}-39312 x^{7}-62160 x^{6}-\frac{134112}{5} x^{5}+3200 x^{4}+\frac{24832}{3} x^{3}+3712 x^{2}+768 x"," ",0,"10935*x^12+647352/11*x^11+1307097/10*x^10+144315*x^9+59616*x^8-39312*x^7-62160*x^6-134112/5*x^5+3200*x^4+24832/3*x^3+3712*x^2+768*x","A"
1237,1,55,37,0.002000," ","int((1-2*x)^2*(3*x+2)^7*(5*x+3),x)","\frac{43740}{11} x^{11}+\frac{93312}{5} x^{10}+34587 x^{9}+\frac{225423}{8} x^{8}+1242 x^{7}-16254 x^{6}-\frac{59304}{5} x^{5}-1292 x^{4}+\frac{7712}{3} x^{3}+1568 x^{2}+384 x"," ",0,"43740/11*x^11+93312/5*x^10+34587*x^9+225423/8*x^8+1242*x^7-16254*x^6-59304/5*x^5-1292*x^4+7712/3*x^3+1568*x^2+384*x","A"
1238,1,50,37,0.001000," ","int((1-2*x)^2*(3*x+2)^6*(5*x+3),x)","1458 x^{10}+5832 x^{9}+\frac{68769}{8} x^{8}+4185 x^{7}-2772 x^{6}-4284 x^{5}-1372 x^{4}+\frac{1936}{3} x^{3}+640 x^{2}+192 x"," ",0,"1458*x^10+5832*x^9+68769/8*x^8+4185*x^7-2772*x^6-4284*x^5-1372*x^4+1936/3*x^3+640*x^2+192*x","A"
1239,1,45,37,0.001000," ","int((1-2*x)^2*(3*x+2)^5*(5*x+3),x)","540 x^{9}+1782 x^{8}+1917 x^{7}+\frac{273}{2} x^{6}-1218 x^{5}-770 x^{4}+\frac{224}{3} x^{3}+248 x^{2}+96 x"," ",0,"540*x^9+1782*x^8+1917*x^7+273/2*x^6-1218*x^5-770*x^4+224/3*x^3+248*x^2+96*x","A"
1240,1,40,37,0.000000," ","int((1-2*x)^2*(3*x+2)^4*(5*x+3),x)","\frac{405}{2} x^{8}+\frac{3672}{7} x^{7}+\frac{675}{2} x^{6}-\frac{1077}{5} x^{5}-328 x^{4}-\frac{152}{3} x^{3}+88 x^{2}+48 x"," ",0,"405/2*x^8+3672/7*x^7+675/2*x^6-1077/5*x^5-328*x^4-152/3*x^3+88*x^2+48*x","A"
1241,1,35,34,0.002000," ","int((1-2*x)^2*(3*x+2)^3*(5*x+3),x)","\frac{540}{7} x^{7}+144 x^{6}+\frac{99}{5} x^{5}-\frac{425}{4} x^{4}-\frac{154}{3} x^{3}+26 x^{2}+24 x"," ",0,"24*x+26*x^2-154/3*x^3-425/4*x^4+99/5*x^5+144*x^6+540/7*x^7","A"
1242,1,30,29,0.000000," ","int((1-2*x)^2*(3*x+2)^2*(5*x+3),x)","30 x^{6}+\frac{168}{5} x^{5}-\frac{79}{4} x^{4}-\frac{89}{3} x^{3}+4 x^{2}+12 x"," ",0,"12*x+4*x^2-89/3*x^3-79/4*x^4+168/5*x^5+30*x^6","A"
1243,1,25,24,0.002000," ","int((1-2*x)^2*(3*x+2)*(5*x+3),x)","12 x^{5}+4 x^{4}-\frac{37}{3} x^{3}-\frac{5}{2} x^{2}+6 x"," ",0,"6*x-5/2*x^2-37/3*x^3+4*x^4+12*x^5","A"
1244,1,20,19,0.001000," ","int((1-2*x)^2*(5*x+3),x)","5 x^{4}-\frac{8}{3} x^{3}-\frac{7}{2} x^{2}+3 x"," ",0,"3*x-7/2*x^2-8/3*x^3+5*x^4","A"
1245,1,23,22,0.002000," ","int((1-2*x)^2*(5*x+3)/(3*x+2),x)","\frac{20 x^{3}}{9}-\frac{32 x^{2}}{9}+\frac{65 x}{27}-\frac{49 \ln \left(3 x +2\right)}{81}"," ",0,"65/27*x-32/9*x^2+20/9*x^3-49/81*ln(3*x+2)","A"
1246,1,27,26,0.007000," ","int((1-2*x)^2*(5*x+3)/(3*x+2)^2,x)","\frac{10 x^{2}}{9}-\frac{104 x}{27}+\frac{91 \ln \left(3 x +2\right)}{27}+\frac{49}{81 \left(3 x +2\right)}"," ",0,"-104/27*x+10/9*x^2+49/81/(3*x+2)+91/27*ln(3*x+2)","A"
1247,1,31,30,0.006000," ","int((1-2*x)^2*(5*x+3)/(3*x+2)^3,x)","\frac{20 x}{27}-\frac{16 \ln \left(3 x +2\right)}{9}+\frac{49}{162 \left(3 x +2\right)^{2}}-\frac{91}{27 \left(3 x +2\right)}"," ",0,"20/27*x+49/162/(3*x+2)^2-91/27/(3*x+2)-16/9*ln(3*x+2)","A"
1248,1,37,36,0.006000," ","int((1-2*x)^2*(5*x+3)/(3*x+2)^4,x)","\frac{20 \ln \left(3 x +2\right)}{81}+\frac{49}{243 \left(3 x +2\right)^{3}}-\frac{91}{54 \left(3 x +2\right)^{2}}+\frac{16}{9 \left(3 x +2\right)}"," ",0,"49/243/(3*x+2)^3-91/54/(3*x+2)^2+16/9/(3*x+2)+20/81*ln(3*x+2)","A"
1249,1,38,33,0.005000," ","int((1-2*x)^2*(5*x+3)/(3*x+2)^5,x)","-\frac{91}{81 \left(3 x +2\right)^{3}}+\frac{49}{324 \left(3 x +2\right)^{4}}+\frac{8}{9 \left(3 x +2\right)^{2}}-\frac{20}{81 \left(3 x +2\right)}"," ",0,"-91/81/(3*x+2)^3+49/324/(3*x+2)^4+8/9/(3*x+2)^2-20/81/(3*x+2)","A"
1250,1,38,37,0.005000," ","int((1-2*x)^2*(5*x+3)/(3*x+2)^6,x)","\frac{49}{405 \left(3 x +2\right)^{5}}-\frac{91}{108 \left(3 x +2\right)^{4}}+\frac{16}{27 \left(3 x +2\right)^{3}}-\frac{10}{81 \left(3 x +2\right)^{2}}"," ",0,"49/405/(3*x+2)^5-91/108/(3*x+2)^4+16/27/(3*x+2)^3-10/81/(3*x+2)^2","A"
1251,1,38,37,0.006000," ","int((1-2*x)^2*(5*x+3)/(3*x+2)^7,x)","\frac{49}{486 \left(3 x +2\right)^{6}}-\frac{91}{135 \left(3 x +2\right)^{5}}+\frac{4}{9 \left(3 x +2\right)^{4}}-\frac{20}{243 \left(3 x +2\right)^{3}}"," ",0,"49/486/(3*x+2)^6-91/135/(3*x+2)^5+4/9/(3*x+2)^4-20/243/(3*x+2)^3","A"
1252,1,38,37,0.004000," ","int((1-2*x)^2*(5*x+3)/(3*x+2)^8,x)","\frac{7}{81 \left(3 x +2\right)^{7}}-\frac{91}{162 \left(3 x +2\right)^{6}}+\frac{16}{45 \left(3 x +2\right)^{5}}-\frac{5}{81 \left(3 x +2\right)^{4}}"," ",0,"7/81/(3*x+2)^7-91/162/(3*x+2)^6+16/45/(3*x+2)^5-5/81/(3*x+2)^4","A"
1253,1,65,46,0.002000," ","int((1-2*x)^2*(3*x+2)^8*(5*x+3)^2,x)","\frac{656100}{13} x^{13}+302535 x^{12}+\frac{8477541}{11} x^{11}+\frac{5207733}{5} x^{10}+697905 x^{9}+6858 x^{8}-384336 x^{7}-298240 x^{6}-\frac{338336}{5} x^{5}+40640 x^{4}+\frac{111616}{3} x^{3}+13056 x^{2}+2304 x"," ",0,"656100/13*x^13+302535*x^12+8477541/11*x^11+5207733/5*x^10+697905*x^9+6858*x^8-384336*x^7-298240*x^6-338336/5*x^5+40640*x^4+111616/3*x^3+13056*x^2+2304*x","A"
1254,1,60,46,0.001000," ","int((1-2*x)^2*(3*x+2)^7*(5*x+3)^2,x)","18225 x^{12}+\frac{1064340}{11} x^{11}+\frac{2116287}{10} x^{10}+228996 x^{9}+\frac{719739}{8} x^{8}-65934 x^{7}-98182 x^{6}-\frac{203752}{5} x^{5}+5764 x^{4}+\frac{38816}{3} x^{3}+5664 x^{2}+1152 x"," ",0,"18225*x^12+1064340/11*x^11+2116287/10*x^10+228996*x^9+719739/8*x^8-65934*x^7-98182*x^6-203752/5*x^5+5764*x^4+38816/3*x^3+5664*x^2+1152*x","A"
1255,1,55,46,0.001000," ","int((1-2*x)^2*(3*x+2)^6*(5*x+3)^2,x)","\frac{72900}{11} x^{11}+30618 x^{10}+55701 x^{9}+\frac{176391}{4} x^{8}+675 x^{7}-26166 x^{6}-18340 x^{5}-1696 x^{4}+\frac{12208}{3} x^{3}+2400 x^{2}+576 x"," ",0,"72900/11*x^11+30618*x^10+55701*x^9+176391/4*x^8+675*x^7-26166*x^6-18340*x^5-1696*x^4+12208/3*x^3+2400*x^2+576*x","A"
1256,1,50,46,0.002000," ","int((1-2*x)^2*(3*x+2)^5*(5*x+3)^2,x)","2430 x^{10}+9540 x^{9}+\frac{109863}{8} x^{8}+6336 x^{7}-\frac{9331}{2} x^{6}-6734 x^{5}-2030 x^{4}+\frac{3152}{3} x^{3}+984 x^{2}+288 x"," ",0,"2430*x^10+9540*x^9+109863/8*x^8+6336*x^7-9331/2*x^6-6734*x^5-2030*x^4+3152/3*x^3+984*x^2+288*x","A"
1257,1,45,46,0.002000," ","int((1-2*x)^2*(3*x+2)^4*(5*x+3)^2,x)","900 x^{9}+\frac{5805}{2} x^{8}+\frac{21141}{7} x^{7}+115 x^{6}-\frac{9791}{5} x^{5}-1174 x^{4}+\frac{424}{3} x^{3}+384 x^{2}+144 x"," ",0,"900*x^9+5805/2*x^8+21141/7*x^7+115*x^6-9791/5*x^5-1174*x^4+424/3*x^3+384*x^2+144*x","A"
1258,1,40,39,0.001000," ","int((1-2*x)^2*(3*x+2)^3*(5*x+3)^2,x)","\frac{675}{2} x^{8}+\frac{5940}{7} x^{7}+\frac{1029}{2} x^{6}-\frac{1828}{5} x^{5}-\frac{2045}{4} x^{4}-\frac{202}{3} x^{3}+138 x^{2}+72 x"," ",0,"72*x+138*x^2-202/3*x^3-2045/4*x^4-1828/5*x^5+1029/2*x^6+5940/7*x^7+675/2*x^8","A"
1259,1,35,34,0.002000," ","int((1-2*x)^2*(3*x+2)^2*(5*x+3)^2,x)","\frac{900}{7} x^{7}+230 x^{6}+\frac{109}{5} x^{5}-\frac{341}{2} x^{4}-\frac{227}{3} x^{3}+42 x^{2}+36 x"," ",0,"36*x+42*x^2-227/3*x^3-341/2*x^4+109/5*x^5+230*x^6+900/7*x^7","A"
1260,1,30,29,0.001000," ","int((1-2*x)^2*(3*x+2)*(5*x+3)^2,x)","50 x^{6}+52 x^{5}-\frac{137}{4} x^{4}-\frac{136}{3} x^{3}+\frac{15}{2} x^{2}+18 x"," ",0,"18*x+15/2*x^2-136/3*x^3-137/4*x^4+52*x^5+50*x^6","A"
1261,1,25,24,0.000000," ","int((1-2*x)^2*(5*x+3)^2,x)","20 x^{5}+5 x^{4}-\frac{59}{3} x^{3}-3 x^{2}+9 x"," ",0,"9*x-3*x^2-59/3*x^3+5*x^4+20*x^5","A"
1262,1,28,27,0.002000," ","int((1-2*x)^2*(5*x+3)^2/(3*x+2),x)","\frac{25 x^{4}}{3}-\frac{140 x^{3}}{27}-\frac{251 x^{2}}{54}+\frac{340 x}{81}+\frac{49 \ln \left(3 x +2\right)}{243}"," ",0,"340/81*x-251/54*x^2-140/27*x^3+25/3*x^4+49/243*ln(3*x+2)","A"
1263,1,32,31,0.006000," ","int((1-2*x)^2*(5*x+3)^2/(3*x+2)^2,x)","\frac{100 x^{3}}{27}-\frac{170 x^{2}}{27}+\frac{143 x}{27}-\frac{518 \ln \left(3 x +2\right)}{243}-\frac{49}{243 \left(3 x +2\right)}"," ",0,"143/27*x-170/27*x^2+100/27*x^3-49/243/(3*x+2)-518/243*ln(3*x+2)","A"
1264,1,36,35,0.006000," ","int((1-2*x)^2*(5*x+3)^2/(3*x+2)^3,x)","\frac{50 x^{2}}{27}-\frac{20 x}{3}+\frac{503 \ln \left(3 x +2\right)}{81}-\frac{49}{486 \left(3 x +2\right)^{2}}+\frac{518}{243 \left(3 x +2\right)}"," ",0,"-20/3*x+50/27*x^2-49/486/(3*x+2)^2+518/243/(3*x+2)+503/81*ln(3*x+2)","A"
1265,1,40,39,0.008000," ","int((1-2*x)^2*(5*x+3)^2/(3*x+2)^4,x)","\frac{100 x}{81}-\frac{740 \ln \left(3 x +2\right)}{243}-\frac{49}{729 \left(3 x +2\right)^{3}}+\frac{259}{243 \left(3 x +2\right)^{2}}-\frac{503}{81 \left(3 x +2\right)}"," ",0,"100/81*x-49/729/(3*x+2)^3+259/243/(3*x+2)^2-503/81/(3*x+2)-740/243*ln(3*x+2)","A"
1266,1,46,45,0.007000," ","int((1-2*x)^2*(5*x+3)^2/(3*x+2)^5,x)","\frac{100 \ln \left(3 x +2\right)}{243}-\frac{49}{972 \left(3 x +2\right)^{4}}+\frac{518}{729 \left(3 x +2\right)^{3}}-\frac{503}{162 \left(3 x +2\right)^{2}}+\frac{740}{243 \left(3 x +2\right)}"," ",0,"-49/972/(3*x+2)^4+518/729/(3*x+2)^3-503/162/(3*x+2)^2+740/243/(3*x+2)+100/243*ln(3*x+2)","A"
1267,1,47,46,0.007000," ","int((1-2*x)^2*(5*x+3)^2/(3*x+2)^6,x)","-\frac{49}{1215 \left(3 x +2\right)^{5}}+\frac{259}{486 \left(3 x +2\right)^{4}}-\frac{503}{243 \left(3 x +2\right)^{3}}+\frac{370}{243 \left(3 x +2\right)^{2}}-\frac{100}{243 \left(3 x +2\right)}"," ",0,"-49/1215/(3*x+2)^5+259/486/(3*x+2)^4-503/243/(3*x+2)^3+370/243/(3*x+2)^2-100/243/(3*x+2)","A"
1268,1,47,46,0.007000," ","int((1-2*x)^2*(5*x+3)^2/(3*x+2)^7,x)","-\frac{49}{1458 \left(3 x +2\right)^{6}}+\frac{518}{1215 \left(3 x +2\right)^{5}}-\frac{503}{324 \left(3 x +2\right)^{4}}+\frac{740}{729 \left(3 x +2\right)^{3}}-\frac{50}{243 \left(3 x +2\right)^{2}}"," ",0,"-49/1458/(3*x+2)^6+518/1215/(3*x+2)^5-503/324/(3*x+2)^4+740/729/(3*x+2)^3-50/243/(3*x+2)^2","A"
1269,1,47,46,0.005000," ","int((1-2*x)^2*(5*x+3)^2/(3*x+2)^8,x)","-\frac{7}{243 \left(3 x +2\right)^{7}}+\frac{259}{729 \left(3 x +2\right)^{6}}-\frac{503}{405 \left(3 x +2\right)^{5}}+\frac{185}{243 \left(3 x +2\right)^{4}}-\frac{100}{729 \left(3 x +2\right)^{3}}"," ",0,"-7/243/(3*x+2)^7+259/729/(3*x+2)^6-503/405/(3*x+2)^5+185/243/(3*x+2)^4-100/729/(3*x+2)^3","A"
1270,1,80,55,0.001000," ","int((1-2*x)^2*(3*x+2)^10*(5*x+3)^3,x)","\frac{7381125}{4} x^{16}+14696640 x^{15}+\frac{734077485}{14} x^{14}+\frac{1417418757}{13} x^{13}+\frac{569034801}{4} x^{12}+\frac{1233925083}{11} x^{11}+36043704 x^{10}-26237700 x^{9}-40113468 x^{8}-\frac{154612896}{7} x^{7}-\frac{10627328}{3} x^{6}+3185792 x^{5}+2644160 x^{4}+1000704 x^{3}+221184 x^{2}+27648 x"," ",0,"7381125/4*x^16+14696640*x^15+734077485/14*x^14+1417418757/13*x^13+569034801/4*x^12+1233925083/11*x^11+36043704*x^10-26237700*x^9-40113468*x^8-154612896/7*x^7-10627328/3*x^6+3185792*x^5+2644160*x^4+1000704*x^3+221184*x^2+27648*x","A"
1271,1,75,55,0.001000," ","int((1-2*x)^2*(3*x+2)^9*(5*x+3)^3,x)","656100 x^{15}+\frac{33461100}{7} x^{14}+\frac{200077695}{13} x^{13}+\frac{113029263}{4} x^{12}+\frac{342976275}{11} x^{11}+\frac{182657511}{10} x^{10}-180666 x^{9}-9703638 x^{8}-\frac{55216512}{7} x^{7}-\frac{7363312}{3} x^{6}+\frac{2732864}{5} x^{5}+871936 x^{4}+400128 x^{3}+100224 x^{2}+13824 x"," ",0,"656100*x^15+33461100/7*x^14+200077695/13*x^13+113029263/4*x^12+342976275/11*x^11+182657511/10*x^10-180666*x^9-9703638*x^8-55216512/7*x^7-7363312/3*x^6+2732864/5*x^5+871936*x^4+400128*x^3+100224*x^2+13824*x","A"
1272,1,70,55,0.001000," ","int((1-2*x)^2*(3*x+2)^8*(5*x+3)^3,x)","\frac{1640250}{7} x^{14}+\frac{20120400}{13} x^{13}+\frac{17759655}{4} x^{12}+\frac{77509953}{11} x^{11}+\frac{62652123}{10} x^{10}+2124195 x^{9}-1660896 x^{8}-\frac{17018256}{7} x^{7}-\frac{3530000}{3} x^{6}-\frac{202208}{5} x^{5}+261440 x^{4}+155136 x^{3}+44928 x^{2}+6912 x"," ",0,"1640250/7*x^14+20120400/13*x^13+17759655/4*x^12+77509953/11*x^11+62652123/10*x^10+2124195*x^9-1660896*x^8-17018256/7*x^7-3530000/3*x^6-202208/5*x^5+261440*x^4+155136*x^3+44928*x^2+6912*x","A"
1273,1,65,55,0.002000," ","int((1-2*x)^2*(3*x+2)^7*(5*x+3)^3,x)","\frac{1093500}{13} x^{13}+498150 x^{12}+\frac{13774455}{11} x^{11}+\frac{16653681}{10} x^{10}+1086843 x^{9}-\frac{148473}{8} x^{8}-618582 x^{7}-\frac{1393018}{3} x^{6}-\frac{495976}{5} x^{5}+65812 x^{4}+57696 x^{3}+19872 x^{2}+3456 x"," ",0,"1093500/13*x^13+498150*x^12+13774455/11*x^11+16653681/10*x^10+1086843*x^9-148473/8*x^8-618582*x^7-1393018/3*x^6-495976/5*x^5+65812*x^4+57696*x^3+19872*x^2+3456*x","A"
1274,1,60,55,0.001000," ","int((1-2*x)^2*(3*x+2)^6*(5*x+3)^3,x)","30375 x^{12}+\frac{1749600}{11} x^{11}+\frac{685017}{2} x^{10}+363093 x^{9}+\frac{1081971}{8} x^{8}-110115 x^{7}-\frac{464744}{3} x^{6}-61804 x^{5}+10172 x^{4}+20208 x^{3}+8640 x^{2}+1728 x"," ",0,"30375*x^12+1749600/11*x^11+685017/2*x^10+363093*x^9+1081971/8*x^8-110115*x^7-464744/3*x^6-61804*x^5+10172*x^4+20208*x^3+8640*x^2+1728*x","A"
1275,1,55,55,0.002000," ","int((1-2*x)^2*(3*x+2)^5*(5*x+3)^3,x)","\frac{121500}{11} x^{11}+50220 x^{10}+89655 x^{9}+\frac{551349}{8} x^{8}-987 x^{7}-\frac{252329}{6} x^{6}-28322 x^{5}-2150 x^{4}+6432 x^{3}+3672 x^{2}+864 x"," ",0,"121500/11*x^11+50220*x^10+89655*x^9+551349/8*x^8-987*x^7-252329/6*x^6-28322*x^5-2150*x^4+6432*x^3+3672*x^2+864*x","A"
1276,1,50,55,0.002000," ","int((1-2*x)^2*(3*x+2)^4*(5*x+3)^3,x)","4050 x^{10}+15600 x^{9}+\frac{175365}{8} x^{8}+\frac{66873}{7} x^{7}-\frac{46885}{6} x^{6}-\frac{52853}{5} x^{5}-2992 x^{4}+1704 x^{3}+1512 x^{2}+432 x"," ",0,"4050*x^10+15600*x^9+175365/8*x^8+66873/7*x^7-46885/6*x^6-52853/5*x^5-2992*x^4+1704*x^3+1512*x^2+432*x","A"
1277,1,45,44,0.002000," ","int((1-2*x)^2*(3*x+2)^3*(5*x+3)^3,x)","1500 x^{9}+4725 x^{8}+\frac{33255}{7} x^{7}+\frac{121}{6} x^{6}-\frac{15709}{5} x^{5}-\frac{7145}{4} x^{4}+258 x^{3}+594 x^{2}+216 x"," ",0,"216*x+594*x^2+258*x^3-7145/4*x^4-15709/5*x^5+121/6*x^6+33255/7*x^7+4725*x^8+1500*x^9","A"
1278,1,40,39,0.002000," ","int((1-2*x)^2*(3*x+2)^2*(5*x+3)^3,x)","\frac{1125}{2} x^{8}+\frac{9600}{7} x^{7}+\frac{4685}{6} x^{6}-\frac{3083}{5} x^{5}-\frac{3181}{4} x^{4}-87 x^{3}+216 x^{2}+108 x"," ",0,"108*x+216*x^2-87*x^3-3181/4*x^4-3083/5*x^5+4685/6*x^6+9600/7*x^7+1125/2*x^8","A"
1279,1,35,34,0.000000," ","int((1-2*x)^2*(3*x+2)*(5*x+3)^3,x)","\frac{1500}{7} x^{7}+\frac{1100}{3} x^{6}+19 x^{5}-\frac{1091}{4} x^{4}-111 x^{3}+\frac{135}{2} x^{2}+54 x"," ",0,"54*x+135/2*x^2-111*x^3-1091/4*x^4+19*x^5+1100/3*x^6+1500/7*x^7","A"
1280,1,30,28,0.002000," ","int((1-2*x)^2*(5*x+3)^3,x)","\frac{250}{3} x^{6}+80 x^{5}-\frac{235}{4} x^{4}-69 x^{3}+\frac{27}{2} x^{2}+27 x"," ",0,"250/3*x^6+80*x^5-235/4*x^4-69*x^3+27/2*x^2+27*x","A"
1281,1,33,32,0.003000," ","int((1-2*x)^2*(5*x+3)^3/(3*x+2),x)","\frac{100 x^{5}}{3}+\frac{50 x^{4}}{9}-\frac{2515 x^{3}}{81}-\frac{559 x^{2}}{162}+\frac{3305 x}{243}-\frac{49 \ln \left(3 x +2\right)}{729}"," ",0,"3305/243*x-559/162*x^2-2515/81*x^3+50/9*x^4+100/3*x^5-49/729*ln(3*x+2)","A"
1282,1,37,36,0.006000," ","int((1-2*x)^2*(5*x+3)^3/(3*x+2)^2,x)","\frac{125 x^{4}}{9}-\frac{800 x^{3}}{81}-\frac{305 x^{2}}{54}+\frac{1271 x}{243}+\frac{763 \ln \left(3 x +2\right)}{729}+\frac{49}{729 \left(3 x +2\right)}"," ",0,"1271/243*x-305/54*x^2-800/81*x^3+125/9*x^4+49/729/(3*x+2)+763/729*ln(3*x+2)","A"
1283,1,41,40,0.008000," ","int((1-2*x)^2*(5*x+3)^3/(3*x+2)^3,x)","\frac{500 x^{3}}{81}-\frac{100 x^{2}}{9}+\frac{895 x}{81}-\frac{4099 \ln \left(3 x +2\right)}{729}+\frac{49}{1458 \left(3 x +2\right)^{2}}-\frac{763}{729 \left(3 x +2\right)}"," ",0,"895/81*x-100/9*x^2+500/81*x^3+49/1458/(3*x+2)^2-763/729/(3*x+2)-4099/729*ln(3*x+2)","A"
1284,1,45,44,0.008000," ","int((1-2*x)^2*(5*x+3)^3/(3*x+2)^4,x)","\frac{250 x^{2}}{81}-\frac{2800 x}{243}+\frac{8285 \ln \left(3 x +2\right)}{729}+\frac{49}{2187 \left(3 x +2\right)^{3}}-\frac{763}{1458 \left(3 x +2\right)^{2}}+\frac{4099}{729 \left(3 x +2\right)}"," ",0,"-2800/243*x+250/81*x^2+49/2187/(3*x+2)^3-763/1458/(3*x+2)^2+4099/729/(3*x+2)+8285/729*ln(3*x+2)","A"
1285,1,49,48,0.007000," ","int((1-2*x)^2*(5*x+3)^3/(3*x+2)^5,x)","\frac{500 x}{243}-\frac{3800 \ln \left(3 x +2\right)}{729}+\frac{49}{2916 \left(3 x +2\right)^{4}}-\frac{763}{2187 \left(3 x +2\right)^{3}}+\frac{4099}{1458 \left(3 x +2\right)^{2}}-\frac{8285}{729 \left(3 x +2\right)}"," ",0,"500/243*x+49/2916/(3*x+2)^4-763/2187/(3*x+2)^3+4099/1458/(3*x+2)^2-8285/729/(3*x+2)-3800/729*ln(3*x+2)","A"
1286,1,55,54,0.007000," ","int((1-2*x)^2*(5*x+3)^3/(3*x+2)^6,x)","\frac{500 \ln \left(3 x +2\right)}{729}+\frac{49}{3645 \left(3 x +2\right)^{5}}-\frac{763}{2916 \left(3 x +2\right)^{4}}+\frac{4099}{2187 \left(3 x +2\right)^{3}}-\frac{8285}{1458 \left(3 x +2\right)^{2}}+\frac{3800}{729 \left(3 x +2\right)}"," ",0,"49/3645/(3*x+2)^5-763/2916/(3*x+2)^4+4099/2187/(3*x+2)^3-8285/1458/(3*x+2)^2+3800/729/(3*x+2)+500/729*ln(3*x+2)","A"
1287,1,56,55,0.007000," ","int((1-2*x)^2*(5*x+3)^3/(3*x+2)^7,x)","\frac{49}{4374 \left(3 x +2\right)^{6}}-\frac{763}{3645 \left(3 x +2\right)^{5}}+\frac{4099}{2916 \left(3 x +2\right)^{4}}-\frac{8285}{2187 \left(3 x +2\right)^{3}}+\frac{1900}{729 \left(3 x +2\right)^{2}}-\frac{500}{729 \left(3 x +2\right)}"," ",0,"49/4374/(3*x+2)^6-763/3645/(3*x+2)^5+4099/2916/(3*x+2)^4-8285/2187/(3*x+2)^3+1900/729/(3*x+2)^2-500/729/(3*x+2)","A"
1288,1,56,55,0.006000," ","int((1-2*x)^2*(5*x+3)^3/(3*x+2)^8,x)","\frac{7}{729 \left(3 x +2\right)^{7}}-\frac{763}{4374 \left(3 x +2\right)^{6}}+\frac{4099}{3645 \left(3 x +2\right)^{5}}-\frac{8285}{2916 \left(3 x +2\right)^{4}}+\frac{3800}{2187 \left(3 x +2\right)^{3}}-\frac{250}{729 \left(3 x +2\right)^{2}}"," ",0,"7/729/(3*x+2)^7-763/4374/(3*x+2)^6+4099/3645/(3*x+2)^5-8285/2916/(3*x+2)^4+3800/2187/(3*x+2)^3-250/729/(3*x+2)^2","A"
1289,1,53,52,0.004000," ","int((1-2*x)^2*(3*x+2)^7/(5*x+3),x)","\frac{972 x^{9}}{5}+\frac{16767 x^{8}}{25}+\frac{672867 x^{7}}{875}+\frac{130383 x^{6}}{1250}-\frac{7315947 x^{5}}{15625}-\frac{20577159 x^{4}}{62500}+\frac{1327159 x^{3}}{78125}+\frac{80555569 x^{2}}{781250}+\frac{83333293 x}{1953125}+\frac{121 \ln \left(5 x +3\right)}{9765625}"," ",0,"83333293/1953125*x+80555569/781250*x^2+1327159/78125*x^3-20577159/62500*x^4-7315947/15625*x^5+130383/1250*x^6+672867/875*x^7+16767/25*x^8+972/5*x^9+121/9765625*ln(5*x+3)","A"
1290,1,48,47,0.003000," ","int((1-2*x)^2*(3*x+2)^6/(5*x+3),x)","\frac{729 x^{8}}{10}+\frac{34992 x^{7}}{175}+\frac{35883 x^{6}}{250}-\frac{228447 x^{5}}{3125}-\frac{1677159 x^{4}}{12500}-\frac{422841 x^{3}}{15625}+\frac{5555569 x^{2}}{156250}+\frac{8333293 x}{390625}+\frac{121 \ln \left(5 x +3\right)}{1953125}"," ",0,"8333293/390625*x+5555569/156250*x^2-422841/15625*x^3-1677159/12500*x^4-228447/3125*x^5+35883/250*x^6+34992/175*x^7+729/10*x^8+121/1953125*ln(5*x+3)","A"
1291,1,43,42,0.004000," ","int((1-2*x)^2*(3*x+2)^5/(5*x+3),x)","\frac{972 x^{7}}{35}+\frac{1404 x^{6}}{25}+\frac{7803 x^{5}}{625}-\frac{102159 x^{4}}{2500}-\frac{72841 x^{3}}{3125}+\frac{305569 x^{2}}{31250}+\frac{833293 x}{78125}+\frac{121 \ln \left(5 x +3\right)}{390625}"," ",0,"833293/78125*x+305569/31250*x^2-72841/3125*x^3-102159/2500*x^4+7803/625*x^5+1404/25*x^6+972/35*x^7+121/390625*ln(5*x+3)","A"
1292,1,38,37,0.003000," ","int((1-2*x)^2*(3*x+2)^4/(5*x+3),x)","\frac{54 x^{6}}{5}+\frac{1728 x^{5}}{125}-\frac{3159 x^{4}}{500}-\frac{7841 x^{3}}{625}+\frac{5569 x^{2}}{6250}+\frac{83293 x}{15625}+\frac{121 \ln \left(5 x +3\right)}{78125}"," ",0,"83293/15625*x+5569/6250*x^2-7841/625*x^3-3159/500*x^4+1728/125*x^5+54/5*x^6+121/78125*ln(5*x+3)","A"
1293,1,33,32,0.003000," ","int((1-2*x)^2*(3*x+2)^3/(5*x+3),x)","\frac{108 x^{5}}{25}+\frac{54 x^{4}}{25}-\frac{591 x^{3}}{125}-\frac{1931 x^{2}}{1250}+\frac{8293 x}{3125}+\frac{121 \ln \left(5 x +3\right)}{15625}"," ",0,"8293/3125*x-1931/1250*x^2-591/125*x^3+54/25*x^4+108/25*x^5+121/15625*ln(5*x+3)","A"
1294,1,28,27,0.003000," ","int((1-2*x)^2*(3*x+2)^2/(5*x+3),x)","\frac{9 x^{4}}{5}-\frac{16 x^{3}}{25}-\frac{431 x^{2}}{250}+\frac{793 x}{625}+\frac{121 \ln \left(5 x +3\right)}{3125}"," ",0,"793/625*x-431/250*x^2-16/25*x^3+9/5*x^4+121/3125*ln(5*x+3)","A"
1295,1,23,22,0.003000," ","int((1-2*x)^2*(3*x+2)/(5*x+3),x)","\frac{4 x^{3}}{5}-\frac{28 x^{2}}{25}+\frac{43 x}{125}+\frac{121 \ln \left(5 x +3\right)}{625}"," ",0,"43/125*x-28/25*x^2+4/5*x^3+121/625*ln(5*x+3)","A"
1296,1,18,17,0.002000," ","int((1-2*x)^2/(5*x+3),x)","\frac{2 x^{2}}{5}-\frac{32 x}{25}+\frac{121 \ln \left(5 x +3\right)}{125}"," ",0,"-32/25*x+2/5*x^2+121/125*ln(5*x+3)","A"
1297,1,21,20,0.007000," ","int((1-2*x)^2/(3*x+2)/(5*x+3),x)","\frac{4 x}{15}-\frac{49 \ln \left(3 x +2\right)}{9}+\frac{121 \ln \left(5 x +3\right)}{25}"," ",0,"4/15*x-49/9*ln(3*x+2)+121/25*ln(5*x+3)","A"
1298,1,27,26,0.007000," ","int((1-2*x)^2/(3*x+2)^2/(5*x+3),x)","-\frac{217 \ln \left(3 x +2\right)}{9}+\frac{121 \ln \left(5 x +3\right)}{5}+\frac{49}{9 \left(3 x +2\right)}"," ",0,"49/9/(3*x+2)-217/9*ln(3*x+2)+121/5*ln(5*x+3)","A"
1299,1,36,35,0.007000," ","int((1-2*x)^2/(3*x+2)^3/(5*x+3),x)","-121 \ln \left(3 x +2\right)+121 \ln \left(5 x +3\right)+\frac{49}{18 \left(3 x +2\right)^{2}}+\frac{217}{9 \left(3 x +2\right)}"," ",0,"49/18/(3*x+2)^2+217/9/(3*x+2)-121*ln(3*x+2)+121*ln(5*x+3)","A"
1300,1,45,44,0.007000," ","int((1-2*x)^2/(3*x+2)^4/(5*x+3),x)","-605 \ln \left(3 x +2\right)+605 \ln \left(5 x +3\right)+\frac{49}{27 \left(3 x +2\right)^{3}}+\frac{217}{18 \left(3 x +2\right)^{2}}+\frac{121}{3 x +2}"," ",0,"49/27/(3*x+2)^3+217/18/(3*x+2)^2+121/(3*x+2)-605*ln(3*x+2)+605*ln(5*x+3)","A"
1301,1,54,53,0.008000," ","int((1-2*x)^2/(3*x+2)^5/(5*x+3),x)","-3025 \ln \left(3 x +2\right)+3025 \ln \left(5 x +3\right)+\frac{49}{36 \left(3 x +2\right)^{4}}+\frac{217}{27 \left(3 x +2\right)^{3}}+\frac{121}{2 \left(3 x +2\right)^{2}}+\frac{605}{3 x +2}"," ",0,"49/36/(3*x+2)^4+217/27/(3*x+2)^3+121/2/(3*x+2)^2+605/(3*x+2)-3025*ln(3*x+2)+3025*ln(5*x+3)","A"
1302,1,63,62,0.007000," ","int((1-2*x)^2/(3*x+2)^6/(5*x+3),x)","-15125 \ln \left(3 x +2\right)+15125 \ln \left(5 x +3\right)+\frac{49}{45 \left(3 x +2\right)^{5}}+\frac{217}{36 \left(3 x +2\right)^{4}}+\frac{121}{3 \left(3 x +2\right)^{3}}+\frac{605}{2 \left(3 x +2\right)^{2}}+\frac{3025}{3 x +2}"," ",0,"49/45/(3*x+2)^5+217/36/(3*x+2)^4+121/3/(3*x+2)^3+605/2/(3*x+2)^2+3025/(3*x+2)-15125*ln(3*x+2)+15125*ln(5*x+3)","A"
1303,1,72,71,0.009000," ","int((1-2*x)^2/(3*x+2)^7/(5*x+3),x)","-75625 \ln \left(3 x +2\right)+75625 \ln \left(5 x +3\right)+\frac{49}{54 \left(3 x +2\right)^{6}}+\frac{217}{45 \left(3 x +2\right)^{5}}+\frac{121}{4 \left(3 x +2\right)^{4}}+\frac{605}{3 \left(3 x +2\right)^{3}}+\frac{3025}{2 \left(3 x +2\right)^{2}}+\frac{15125}{3 x +2}"," ",0,"49/54/(3*x+2)^6+217/45/(3*x+2)^5+121/4/(3*x+2)^4+605/3/(3*x+2)^3+3025/2/(3*x+2)^2+15125/(3*x+2)-75625*ln(3*x+2)+75625*ln(5*x+3)","A"
1304,1,81,80,0.010000," ","int((1-2*x)^2/(3*x+2)^8/(5*x+3),x)","-378125 \ln \left(3 x +2\right)+378125 \ln \left(5 x +3\right)+\frac{7}{9 \left(3 x +2\right)^{7}}+\frac{217}{54 \left(3 x +2\right)^{6}}+\frac{121}{5 \left(3 x +2\right)^{5}}+\frac{605}{4 \left(3 x +2\right)^{4}}+\frac{3025}{3 \left(3 x +2\right)^{3}}+\frac{15125}{2 \left(3 x +2\right)^{2}}+\frac{75625}{3 x +2}"," ",0,"7/9/(3*x+2)^7+217/54/(3*x+2)^6+121/5/(3*x+2)^5+605/4/(3*x+2)^4+3025/3/(3*x+2)^3+15125/2/(3*x+2)^2+75625/(3*x+2)-378125*ln(3*x+2)+378125*ln(5*x+3)","A"
1305,1,57,56,0.006000," ","int((1-2*x)^2*(3*x+2)^7/(5*x+3)^2,x)","\frac{2187 x^{8}}{50}+\frac{107892 x^{7}}{875}+\frac{116397 x^{6}}{1250}-\frac{656424 x^{5}}{15625}-\frac{213867 x^{4}}{2500}-\frac{1512378 x^{3}}{78125}+\frac{17592879 x^{2}}{781250}+\frac{27776932 x}{1953125}+\frac{2497 \ln \left(5 x +3\right)}{9765625}-\frac{121}{9765625 \left(5 x +3\right)}"," ",0,"27776932/1953125*x+17592879/781250*x^2-1512378/78125*x^3-213867/2500*x^4-656424/15625*x^5+116397/1250*x^6+107892/875*x^7+2187/50*x^8-121/9765625/(5*x+3)+2497/9765625*ln(5*x+3)","A"
1306,1,52,51,0.007000," ","int((1-2*x)^2*(3*x+2)^6/(5*x+3)^2,x)","\frac{2916 x^{7}}{175}+\frac{4374 x^{6}}{125}+\frac{28917 x^{5}}{3125}-\frac{157599 x^{4}}{6250}-\frac{48771 x^{3}}{3125}+\frac{463086 x^{2}}{78125}+\frac{2777053 x}{390625}+\frac{2134 \ln \left(5 x +3\right)}{1953125}-\frac{121}{1953125 \left(5 x +3\right)}"," ",0,"2777053/390625*x+463086/78125*x^2-48771/3125*x^3-157599/6250*x^4+28917/3125*x^5+4374/125*x^6+2916/175*x^7-121/1953125/(5*x+3)+2134/1953125*ln(5*x+3)","A"
1307,1,47,46,0.007000," ","int((1-2*x)^2*(3*x+2)^5/(5*x+3)^2,x)","\frac{162 x^{6}}{25}+\frac{5508 x^{5}}{625}-\frac{8721 x^{4}}{2500}-\frac{25332 x^{3}}{3125}+\frac{1893 x^{2}}{6250}+\frac{277174 x}{78125}+\frac{1771 \ln \left(5 x +3\right)}{390625}-\frac{121}{390625 \left(5 x +3\right)}"," ",0,"277174/78125*x+1893/6250*x^2-25332/3125*x^3-8721/2500*x^4+5508/625*x^5+162/25*x^6-121/390625/(5*x+3)+1771/390625*ln(5*x+3)","A"
1308,1,42,41,0.007000," ","int((1-2*x)^2*(3*x+2)^4/(5*x+3)^2,x)","\frac{324 x^{5}}{125}+\frac{189 x^{4}}{125}-\frac{1809 x^{3}}{625}-\frac{3621 x^{2}}{3125}+\frac{5459 x}{3125}+\frac{1408 \ln \left(5 x +3\right)}{78125}-\frac{121}{78125 \left(5 x +3\right)}"," ",0,"5459/3125*x-3621/3125*x^2-1809/625*x^3+189/125*x^4+324/125*x^5-121/78125/(5*x+3)+1408/78125*ln(5*x+3)","A"
1309,1,37,36,0.007000," ","int((1-2*x)^2*(3*x+2)^3/(5*x+3)^2,x)","\frac{27 x^{4}}{25}-\frac{36 x^{3}}{125}-\frac{1449 x^{2}}{1250}+\frac{2416 x}{3125}+\frac{209 \ln \left(5 x +3\right)}{3125}-\frac{121}{15625 \left(5 x +3\right)}"," ",0,"2416/3125*x-1449/1250*x^2-36/125*x^3+27/25*x^4-121/15625/(5*x+3)+209/3125*ln(5*x+3)","A"
1310,1,32,31,0.007000," ","int((1-2*x)^2*(3*x+2)^2/(5*x+3)^2,x)","\frac{12 x^{3}}{25}-\frac{78 x^{2}}{125}+\frac{37 x}{625}+\frac{682 \ln \left(5 x +3\right)}{3125}-\frac{121}{3125 \left(5 x +3\right)}"," ",0,"37/625*x-78/125*x^2+12/25*x^3-121/3125/(5*x+3)+682/3125*ln(5*x+3)","A"
1311,1,27,26,0.008000," ","int((1-2*x)^2*(3*x+2)/(5*x+3)^2,x)","\frac{6 x^{2}}{25}-\frac{92 x}{125}+\frac{319 \ln \left(5 x +3\right)}{625}-\frac{121}{625 \left(5 x +3\right)}"," ",0,"-92/125*x+6/25*x^2-121/625/(5*x+3)+319/625*ln(5*x+3)","A"
1312,1,22,21,0.006000," ","int((1-2*x)^2/(5*x+3)^2,x)","\frac{4 x}{25}-\frac{44 \ln \left(5 x +3\right)}{125}-\frac{121}{125 \left(5 x +3\right)}"," ",0,"4/25*x-121/125/(5*x+3)-44/125*ln(5*x+3)","A"
1313,1,27,26,0.007000," ","int((1-2*x)^2/(3*x+2)/(5*x+3)^2,x)","\frac{49 \ln \left(3 x +2\right)}{3}-\frac{407 \ln \left(5 x +3\right)}{25}-\frac{121}{25 \left(5 x +3\right)}"," ",0,"-121/25/(5*x+3)+49/3*ln(3*x+2)-407/25*ln(5*x+3)","A"
1314,1,36,35,0.010000," ","int((1-2*x)^2/(3*x+2)^2/(5*x+3)^2,x)","154 \ln \left(3 x +2\right)-154 \ln \left(5 x +3\right)-\frac{49}{3 \left(3 x +2\right)}-\frac{121}{5 \left(5 x +3\right)}"," ",0,"-49/3/(3*x+2)-121/5/(5*x+3)+154*ln(3*x+2)-154*ln(5*x+3)","A"
1315,1,45,44,0.009000," ","int((1-2*x)^2/(3*x+2)^3/(5*x+3)^2,x)","1133 \ln \left(3 x +2\right)-1133 \ln \left(5 x +3\right)-\frac{49}{6 \left(3 x +2\right)^{2}}-\frac{154}{3 x +2}-\frac{121}{5 x +3}"," ",0,"-49/6/(3*x+2)^2-154/(3*x+2)-121/(5*x+3)+1133*ln(3*x+2)-1133*ln(5*x+3)","A"
1316,1,54,53,0.009000," ","int((1-2*x)^2/(3*x+2)^4/(5*x+3)^2,x)","7480 \ln \left(3 x +2\right)-7480 \ln \left(5 x +3\right)-\frac{49}{9 \left(3 x +2\right)^{3}}-\frac{77}{\left(3 x +2\right)^{2}}-\frac{1133}{3 x +2}-\frac{605}{5 x +3}"," ",0,"-49/9/(3*x+2)^3-77/(3*x+2)^2-1133/(3*x+2)-605/(5*x+3)+7480*ln(3*x+2)-7480*ln(5*x+3)","A"
1317,1,63,62,0.010000," ","int((1-2*x)^2/(3*x+2)^5/(5*x+3)^2,x)","46475 \ln \left(3 x +2\right)-46475 \ln \left(5 x +3\right)-\frac{49}{12 \left(3 x +2\right)^{4}}-\frac{154}{3 \left(3 x +2\right)^{3}}-\frac{1133}{2 \left(3 x +2\right)^{2}}-\frac{7480}{3 x +2}-\frac{3025}{5 x +3}"," ",0,"-49/12/(3*x+2)^4-154/3/(3*x+2)^3-1133/2/(3*x+2)^2-7480/(3*x+2)-3025/(5*x+3)+46475*ln(3*x+2)-46475*ln(5*x+3)","A"
1318,1,72,71,0.010000," ","int((1-2*x)^2/(3*x+2)^6/(5*x+3)^2,x)","277750 \ln \left(3 x +2\right)-277750 \ln \left(5 x +3\right)-\frac{49}{15 \left(3 x +2\right)^{5}}-\frac{77}{2 \left(3 x +2\right)^{4}}-\frac{1133}{3 \left(3 x +2\right)^{3}}-\frac{3740}{\left(3 x +2\right)^{2}}-\frac{46475}{3 x +2}-\frac{15125}{5 x +3}"," ",0,"-49/15/(3*x+2)^5-77/2/(3*x+2)^4-1133/3/(3*x+2)^3-3740/(3*x+2)^2-46475/(3*x+2)-15125/(5*x+3)+277750*ln(3*x+2)-277750*ln(5*x+3)","A"
1319,1,81,80,0.010000," ","int((1-2*x)^2/(3*x+2)^7/(5*x+3)^2,x)","1615625 \ln \left(3 x +2\right)-1615625 \ln \left(5 x +3\right)-\frac{49}{18 \left(3 x +2\right)^{6}}-\frac{154}{5 \left(3 x +2\right)^{5}}-\frac{1133}{4 \left(3 x +2\right)^{4}}-\frac{7480}{3 \left(3 x +2\right)^{3}}-\frac{46475}{2 \left(3 x +2\right)^{2}}-\frac{277750}{3 x +2}-\frac{75625}{5 x +3}"," ",0,"-49/18/(3*x+2)^6-154/5/(3*x+2)^5-1133/4/(3*x+2)^4-7480/3/(3*x+2)^3-46475/2/(3*x+2)^2-277750/(3*x+2)-75625/(5*x+3)+1615625*ln(3*x+2)-1615625*ln(5*x+3)","A"
1320,1,90,89,0.011000," ","int((1-2*x)^2/(3*x+2)^8/(5*x+3)^2,x)","9212500 \ln \left(3 x +2\right)-9212500 \ln \left(5 x +3\right)-\frac{7}{3 \left(3 x +2\right)^{7}}-\frac{77}{3 \left(3 x +2\right)^{6}}-\frac{1133}{5 \left(3 x +2\right)^{5}}-\frac{1870}{\left(3 x +2\right)^{4}}-\frac{46475}{3 \left(3 x +2\right)^{3}}-\frac{138875}{\left(3 x +2\right)^{2}}-\frac{1615625}{3 x +2}-\frac{378125}{5 x +3}"," ",0,"-7/3/(3*x+2)^7-77/3/(3*x+2)^6-1133/5/(3*x+2)^5-1870/(3*x+2)^4-46475/3/(3*x+2)^3-138875/(3*x+2)^2-1615625/(3*x+2)-378125/(5*x+3)+9212500*ln(3*x+2)-9212500*ln(5*x+3)","A"
1321,1,66,65,0.007000," ","int((1-2*x)^2*(3*x+2)^8/(5*x+3)^3,x)","\frac{6561 x^{8}}{250}+\frac{332424 x^{7}}{4375}+\frac{376407 x^{6}}{6250}-\frac{74601 x^{5}}{3125}-\frac{1700919 x^{4}}{31250}-\frac{5350194 x^{3}}{390625}+\frac{55559043 x^{2}}{3906250}+\frac{92582457 x}{9765625}+\frac{5888 \ln \left(5 x +3\right)}{9765625}-\frac{121}{97656250 \left(5 x +3\right)^{2}}-\frac{572}{9765625 \left(5 x +3\right)}"," ",0,"92582457/9765625*x+55559043/3906250*x^2-5350194/390625*x^3-1700919/31250*x^4-74601/3125*x^5+376407/6250*x^6+332424/4375*x^7+6561/250*x^8-121/97656250/(5*x+3)^2-572/9765625/(5*x+3)+5888/9765625*ln(5*x+3)","A"
1322,1,61,60,0.007000," ","int((1-2*x)^2*(3*x+2)^7/(5*x+3)^3,x)","\frac{8748 x^{7}}{875}+\frac{13608 x^{6}}{625}+\frac{104247 x^{5}}{15625}-\frac{193833 x^{4}}{12500}-\frac{162612 x^{3}}{15625}+\frac{1390203 x^{2}}{390625}+\frac{9251661 x}{1953125}+\frac{21949 \ln \left(5 x +3\right)}{9765625}-\frac{121}{19531250 \left(5 x +3\right)^{2}}-\frac{2497}{9765625 \left(5 x +3\right)}"," ",0,"9251661/1953125*x+1390203/390625*x^2-162612/15625*x^3-193833/12500*x^4+104247/15625*x^5+13608/625*x^6+8748/875*x^7-121/19531250/(5*x+3)^2-2497/9765625/(5*x+3)+21949/9765625*ln(5*x+3)","A"
1323,1,56,55,0.008000," ","int((1-2*x)^2*(3*x+2)^6/(5*x+3)^3,x)","\frac{486 x^{6}}{125}+\frac{17496 x^{5}}{3125}-\frac{23571 x^{4}}{12500}-\frac{16299 x^{3}}{3125}+\frac{189 x^{2}}{15625}+\frac{920502 x}{390625}+\frac{15547 \ln \left(5 x +3\right)}{1953125}-\frac{121}{3906250 \left(5 x +3\right)^{2}}-\frac{2134}{1953125 \left(5 x +3\right)}"," ",0,"920502/390625*x+189/15625*x^2-16299/3125*x^3-23571/12500*x^4+17496/3125*x^5+486/125*x^6-121/3906250/(5*x+3)^2-2134/1953125/(5*x+3)+15547/1953125*ln(5*x+3)","A"
1324,1,51,50,0.006000," ","int((1-2*x)^2*(3*x+2)^5/(5*x+3)^3,x)","\frac{972 x^{5}}{625}+\frac{648 x^{4}}{625}-\frac{5499 x^{3}}{3125}-\frac{5301 x^{2}}{6250}+\frac{17796 x}{15625}+\frac{10234 \ln \left(5 x +3\right)}{390625}-\frac{121}{781250 \left(5 x +3\right)^{2}}-\frac{1771}{390625 \left(5 x +3\right)}"," ",0,"17796/15625*x-5301/6250*x^2-5499/3125*x^3+648/625*x^4+972/625*x^5-121/781250/(5*x+3)^2-1771/390625/(5*x+3)+10234/390625*ln(5*x+3)","A"
1325,1,46,45,0.007000," ","int((1-2*x)^2*(3*x+2)^4/(5*x+3)^3,x)","\frac{81 x^{4}}{125}-\frac{72 x^{3}}{625}-\frac{4779 x^{2}}{6250}+\frac{1419 x}{3125}+\frac{1202 \ln \left(5 x +3\right)}{15625}-\frac{121}{156250 \left(5 x +3\right)^{2}}-\frac{1408}{78125 \left(5 x +3\right)}"," ",0,"1419/3125*x-4779/6250*x^2-72/625*x^3+81/125*x^4-121/156250/(5*x+3)^2-1408/78125/(5*x+3)+1202/15625*ln(5*x+3)","A"
1326,1,41,40,0.007000," ","int((1-2*x)^2*(3*x+2)^3/(5*x+3)^3,x)","\frac{36 x^{3}}{125}-\frac{216 x^{2}}{625}-\frac{153 x}{3125}+\frac{23 \ln \left(5 x +3\right)}{125}-\frac{121}{31250 \left(5 x +3\right)^{2}}-\frac{209}{3125 \left(5 x +3\right)}"," ",0,"-153/3125*x-216/625*x^2+36/125*x^3-121/31250/(5*x+3)^2-209/3125/(5*x+3)+23/125*ln(5*x+3)","A"
1327,1,36,35,0.006000," ","int((1-2*x)^2*(3*x+2)^2/(5*x+3)^3,x)","\frac{18 x^{2}}{125}-\frac{264 x}{625}+\frac{829 \ln \left(5 x +3\right)}{3125}-\frac{121}{6250 \left(5 x +3\right)^{2}}-\frac{682}{3125 \left(5 x +3\right)}"," ",0,"-264/625*x+18/125*x^2-121/6250/(5*x+3)^2-682/3125/(5*x+3)+829/3125*ln(5*x+3)","A"
1328,1,31,30,0.007000," ","int((1-2*x)^2*(3*x+2)/(5*x+3)^3,x)","\frac{12 x}{125}-\frac{128 \ln \left(5 x +3\right)}{625}-\frac{121}{1250 \left(5 x +3\right)^{2}}-\frac{319}{625 \left(5 x +3\right)}"," ",0,"12/125*x-121/1250/(5*x+3)^2-319/625/(5*x+3)-128/625*ln(5*x+3)","A"
1329,1,28,27,0.005000," ","int((1-2*x)^2/(5*x+3)^3,x)","\frac{4 \ln \left(5 x +3\right)}{125}-\frac{121}{250 \left(5 x +3\right)^{2}}+\frac{44}{125 \left(5 x +3\right)}"," ",0,"-121/250/(5*x+3)^2+44/125/(5*x+3)+4/125*ln(5*x+3)","A"
1330,1,36,35,0.007000," ","int((1-2*x)^2/(3*x+2)/(5*x+3)^3,x)","-49 \ln \left(3 x +2\right)+49 \ln \left(5 x +3\right)-\frac{121}{50 \left(5 x +3\right)^{2}}+\frac{407}{25 \left(5 x +3\right)}"," ",0,"-121/50/(5*x+3)^2+407/25/(5*x+3)-49*ln(3*x+2)+49*ln(5*x+3)","A"
1331,1,45,44,0.011000," ","int((1-2*x)^2/(3*x+2)^2/(5*x+3)^3,x)","-707 \ln \left(3 x +2\right)+707 \ln \left(5 x +3\right)+\frac{49}{3 x +2}-\frac{121}{10 \left(5 x +3\right)^{2}}+\frac{154}{5 x +3}"," ",0,"49/(3*x+2)-121/10/(5*x+3)^2+154/(5*x+3)-707*ln(3*x+2)+707*ln(5*x+3)","A"
1332,1,54,53,0.010000," ","int((1-2*x)^2/(3*x+2)^3/(5*x+3)^3,x)","-6934 \ln \left(3 x +2\right)+6934 \ln \left(5 x +3\right)+\frac{49}{2 \left(3 x +2\right)^{2}}+\frac{707}{3 x +2}-\frac{121}{2 \left(5 x +3\right)^{2}}+\frac{1133}{5 x +3}"," ",0,"49/2/(3*x+2)^2+707/(3*x+2)-121/2/(5*x+3)^2+1133/(5*x+3)-6934*ln(3*x+2)+6934*ln(5*x+3)","A"
1333,1,63,62,0.009000," ","int((1-2*x)^2/(3*x+2)^4/(5*x+3)^3,x)","-57110 \ln \left(3 x +2\right)+57110 \ln \left(5 x +3\right)+\frac{49}{3 \left(3 x +2\right)^{3}}+\frac{707}{2 \left(3 x +2\right)^{2}}+\frac{6934}{3 x +2}-\frac{605}{2 \left(5 x +3\right)^{2}}+\frac{7480}{5 x +3}"," ",0,"49/3/(3*x+2)^3+707/2/(3*x+2)^2+6934/(3*x+2)-605/2/(5*x+3)^2+7480/(5*x+3)-57110*ln(3*x+2)+57110*ln(5*x+3)","A"
1334,1,72,71,0.011000," ","int((1-2*x)^2/(3*x+2)^5/(5*x+3)^3,x)","-424975 \ln \left(3 x +2\right)+424975 \ln \left(5 x +3\right)+\frac{49}{4 \left(3 x +2\right)^{4}}+\frac{707}{3 \left(3 x +2\right)^{3}}+\frac{3467}{\left(3 x +2\right)^{2}}+\frac{57110}{3 x +2}-\frac{3025}{2 \left(5 x +3\right)^{2}}+\frac{46475}{5 x +3}"," ",0,"49/4/(3*x+2)^4+707/3/(3*x+2)^3+3467/(3*x+2)^2+57110/(3*x+2)-3025/2/(5*x+3)^2+46475/(5*x+3)-424975*ln(3*x+2)+424975*ln(5*x+3)","A"
1335,1,81,80,0.010000," ","int((1-2*x)^2/(3*x+2)^6/(5*x+3)^3,x)","-2958125 \ln \left(3 x +2\right)+2958125 \ln \left(5 x +3\right)+\frac{49}{5 \left(3 x +2\right)^{5}}+\frac{707}{4 \left(3 x +2\right)^{4}}+\frac{6934}{3 \left(3 x +2\right)^{3}}+\frac{28555}{\left(3 x +2\right)^{2}}+\frac{424975}{3 x +2}-\frac{15125}{2 \left(5 x +3\right)^{2}}+\frac{277750}{5 x +3}"," ",0,"49/5/(3*x+2)^5+707/4/(3*x+2)^4+6934/3/(3*x+2)^3+28555/(3*x+2)^2+424975/(3*x+2)-15125/2/(5*x+3)^2+277750/(5*x+3)-2958125*ln(3*x+2)+2958125*ln(5*x+3)","A"
1336,1,90,89,0.012000," ","int((1-2*x)^2/(3*x+2)^7/(5*x+3)^3,x)","-19637500 \ln \left(3 x +2\right)+19637500 \ln \left(5 x +3\right)+\frac{49}{6 \left(3 x +2\right)^{6}}+\frac{707}{5 \left(3 x +2\right)^{5}}+\frac{3467}{2 \left(3 x +2\right)^{4}}+\frac{57110}{3 \left(3 x +2\right)^{3}}+\frac{424975}{2 \left(3 x +2\right)^{2}}+\frac{2958125}{3 x +2}-\frac{75625}{2 \left(5 x +3\right)^{2}}+\frac{1615625}{5 x +3}"," ",0,"49/6/(3*x+2)^6+707/5/(3*x+2)^5+3467/2/(3*x+2)^4+57110/3/(3*x+2)^3+424975/2/(3*x+2)^2+2958125/(3*x+2)-75625/2/(5*x+3)^2+1615625/(5*x+3)-19637500*ln(3*x+2)+19637500*ln(5*x+3)","A"
1337,1,99,98,0.010000," ","int((1-2*x)^2/(3*x+2)^8/(5*x+3)^3,x)","-125825000 \ln \left(3 x +2\right)+125825000 \ln \left(5 x +3\right)+\frac{7}{\left(3 x +2\right)^{7}}+\frac{707}{6 \left(3 x +2\right)^{6}}+\frac{6934}{5 \left(3 x +2\right)^{5}}+\frac{28555}{2 \left(3 x +2\right)^{4}}+\frac{424975}{3 \left(3 x +2\right)^{3}}+\frac{2958125}{2 \left(3 x +2\right)^{2}}+\frac{19637500}{3 x +2}-\frac{378125}{2 \left(5 x +3\right)^{2}}+\frac{9212500}{5 x +3}"," ",0,"7/(3*x+2)^7+707/6/(3*x+2)^6+6934/5/(3*x+2)^5+28555/2/(3*x+2)^4+424975/3/(3*x+2)^3+2958125/2/(3*x+2)^2+19637500/(3*x+2)-378125/2/(5*x+3)^2+9212500/(5*x+3)-125825000*ln(3*x+2)+125825000*ln(5*x+3)","A"
1338,1,65,46,0.001000," ","int((1-2*x)^3*(3*x+2)^8*(5*x+3),x)","-\frac{262440}{13} x^{13}-96957 x^{12}-\frac{1966842}{11} x^{11}-\frac{1290573}{10} x^{10}+38331 x^{9}+128412 x^{8}+67248 x^{7}-17456 x^{6}-\frac{159712}{5} x^{5}-9216 x^{4}+3328 x^{3}+2944 x^{2}+768 x"," ",0,"-262440/13*x^13-96957*x^12-1966842/11*x^11-1290573/10*x^10+38331*x^9+128412*x^8+67248*x^7-17456*x^6-159712/5*x^5-9216*x^4+3328*x^3+2944*x^2+768*x","A"
1339,1,60,46,0.002000," ","int((1-2*x)^3*(3*x+2)^7*(5*x+3),x)","-7290 x^{12}-\frac{329508}{11} x^{11}-\frac{217971}{5} x^{10}-15507 x^{9}+\frac{208035}{8} x^{8}+29106 x^{7}+3514 x^{6}-\frac{48968}{5} x^{5}-5148 x^{4}+480 x^{3}+1184 x^{2}+384 x"," ",0,"-7290*x^12-329508/11*x^11-217971/5*x^10-15507*x^9+208035/8*x^8+29106*x^7+3514*x^6-48968/5*x^5-5148*x^4+480*x^3+1184*x^2+384*x","A"
1340,1,55,46,0.002000," ","int((1-2*x)^3*(3*x+2)^6*(5*x+3),x)","-\frac{29160}{11} x^{11}-\frac{45198}{5} x^{10}-9450 x^{9}+\frac{10179}{8} x^{8}+8937 x^{7}+4368 x^{6}-\frac{10444}{5} x^{5}-2340 x^{4}-208 x^{3}+448 x^{2}+192 x"," ",0,"-29160/11*x^11-45198/5*x^10-9450*x^9+10179/8*x^8+8937*x^7+4368*x^6-10444/5*x^5-2340*x^4-208*x^3+448*x^2+192*x","A"
1341,1,50,46,0.001000," ","int((1-2*x)^3*(3*x+2)^5*(5*x+3),x)","-972 x^{10}-2628 x^{9}-\frac{6291}{4} x^{8}+1683 x^{7}+\frac{4333}{2} x^{6}+14 x^{5}-882 x^{4}-256 x^{3}+152 x^{2}+96 x"," ",0,"-972*x^10-2628*x^9-6291/4*x^8+1683*x^7+4333/2*x^6+14*x^5-882*x^4-256*x^3+152*x^2+96*x","A"
1342,1,45,46,0.001000," ","int((1-2*x)^3*(3*x+2)^4*(5*x+3),x)","-360 x^{9}-\frac{1431}{2} x^{8}-54 x^{7}+\frac{1393}{2} x^{6}+\frac{1547}{5} x^{5}-252 x^{4}-168 x^{3}+40 x^{2}+48 x"," ",0,"-360*x^9-1431/2*x^8-54*x^7+1393/2*x^6+1547/5*x^5-252*x^4-168*x^3+40*x^2+48*x","A"
1343,1,40,39,0.000000," ","int((1-2*x)^3*(3*x+2)^3*(5*x+3),x)","-135 x^{8}-\frac{1188}{7} x^{7}+111 x^{6}+\frac{949}{5} x^{5}-\frac{117}{4} x^{4}-86 x^{3}+2 x^{2}+24 x"," ",0,"24*x+2*x^2-86*x^3-117/4*x^4+949/5*x^5+111*x^6-1188/7*x^7-135*x^8","A"
1344,1,35,34,0.001000," ","int((1-2*x)^3*(3*x+2)^2*(5*x+3),x)","-\frac{360}{7} x^{7}-26 x^{6}+\frac{326}{5} x^{5}+\frac{99}{4} x^{4}-35 x^{3}-8 x^{2}+12 x"," ",0,"12*x-8*x^2-35*x^3+99/4*x^4+326/5*x^5-26*x^6-360/7*x^7","A"
1345,1,30,28,0.000000," ","int((1-2*x)^3*(3*x+2)*(5*x+3),x)","-20 x^{6}+\frac{28}{5} x^{5}+\frac{45}{2} x^{4}-9 x^{3}-\frac{17}{2} x^{2}+6 x"," ",0,"-20*x^6+28/5*x^5+45/2*x^4-9*x^3-17/2*x^2+6*x","A"
1346,1,25,19,0.001000," ","int((1-2*x)^3*(5*x+3),x)","-8 x^{5}+9 x^{4}+2 x^{3}-\frac{13}{2} x^{2}+3 x"," ",0,"-8*x^5+9*x^4+2*x^3-13/2*x^2+3*x","A"
1347,1,28,27,0.003000," ","int((1-2*x)^3*(5*x+3)/(3*x+2),x)","-\frac{10 x^{4}}{3}+\frac{188 x^{3}}{27}-\frac{161 x^{2}}{27}+\frac{293 x}{81}-\frac{343 \ln \left(3 x +2\right)}{243}"," ",0,"293/81*x-161/27*x^2+188/27*x^3-10/3*x^4-343/243*ln(3*x+2)","A"
1348,1,32,31,0.007000," ","int((1-2*x)^3*(5*x+3)/(3*x+2)^2,x)","-\frac{40 x^{3}}{27}+\frac{134 x^{2}}{27}-\frac{286 x}{27}+\frac{2009 \ln \left(3 x +2\right)}{243}+\frac{343}{243 \left(3 x +2\right)}"," ",0,"-286/27*x+134/27*x^2-40/27*x^3+343/243/(3*x+2)+2009/243*ln(3*x+2)","A"
1349,1,36,35,0.007000," ","int((1-2*x)^3*(5*x+3)/(3*x+2)^3,x)","-\frac{20 x^{2}}{27}+\frac{116 x}{27}-\frac{518 \ln \left(3 x +2\right)}{81}+\frac{343}{486 \left(3 x +2\right)^{2}}-\frac{2009}{243 \left(3 x +2\right)}"," ",0,"116/27*x-20/27*x^2+343/486/(3*x+2)^2-2009/243/(3*x+2)-518/81*ln(3*x+2)","A"
1350,1,40,39,0.007000," ","int((1-2*x)^3*(5*x+3)/(3*x+2)^4,x)","-\frac{40 x}{81}+\frac{428 \ln \left(3 x +2\right)}{243}+\frac{343}{729 \left(3 x +2\right)^{3}}-\frac{2009}{486 \left(3 x +2\right)^{2}}+\frac{518}{81 \left(3 x +2\right)}"," ",0,"-40/81*x+343/729/(3*x+2)^3-2009/486/(3*x+2)^2+518/81/(3*x+2)+428/243*ln(3*x+2)","A"
1351,1,46,45,0.007000," ","int((1-2*x)^3*(5*x+3)/(3*x+2)^5,x)","-\frac{40 \ln \left(3 x +2\right)}{243}+\frac{343}{972 \left(3 x +2\right)^{4}}-\frac{2009}{729 \left(3 x +2\right)^{3}}+\frac{259}{81 \left(3 x +2\right)^{2}}-\frac{428}{243 \left(3 x +2\right)}"," ",0,"343/972/(3*x+2)^4-2009/729/(3*x+2)^3+259/81/(3*x+2)^2-428/243/(3*x+2)-40/243*ln(3*x+2)","A"
1352,1,47,33,0.005000," ","int((1-2*x)^3*(5*x+3)/(3*x+2)^6,x)","\frac{518}{243 \left(3 x +2\right)^{3}}-\frac{2009}{972 \left(3 x +2\right)^{4}}-\frac{214}{243 \left(3 x +2\right)^{2}}+\frac{40}{243 \left(3 x +2\right)}+\frac{343}{1215 \left(3 x +2\right)^{5}}"," ",0,"518/243/(3*x+2)^3-2009/972/(3*x+2)^4-214/243/(3*x+2)^2+40/243/(3*x+2)+343/1215/(3*x+2)^5","A"
1353,1,47,49,0.005000," ","int((1-2*x)^3*(5*x+3)/(3*x+2)^7,x)","\frac{343}{1458 \left(3 x +2\right)^{6}}-\frac{428}{729 \left(3 x +2\right)^{3}}+\frac{259}{162 \left(3 x +2\right)^{4}}+\frac{20}{243 \left(3 x +2\right)^{2}}-\frac{2009}{1215 \left(3 x +2\right)^{5}}"," ",0,"343/1458/(3*x+2)^6-428/729/(3*x+2)^3+259/162/(3*x+2)^4+20/243/(3*x+2)^2-2009/1215/(3*x+2)^5","A"
1354,1,47,46,0.007000," ","int((1-2*x)^3*(5*x+3)/(3*x+2)^8,x)","\frac{49}{243 \left(3 x +2\right)^{7}}-\frac{2009}{1458 \left(3 x +2\right)^{6}}+\frac{518}{405 \left(3 x +2\right)^{5}}-\frac{107}{243 \left(3 x +2\right)^{4}}+\frac{40}{729 \left(3 x +2\right)^{3}}"," ",0,"49/243/(3*x+2)^7-2009/1458/(3*x+2)^6+518/405/(3*x+2)^5-107/243/(3*x+2)^4+40/729/(3*x+2)^3","A"
1355,1,70,55,0.001000," ","int((1-2*x)^3*(3*x+2)^8*(5*x+3)^2,x)","-\frac{656100}{7} x^{14}-\frac{6604740}{13} x^{13}-\frac{2220777}{2} x^{12}-\frac{12353391}{11} x^{11}-\frac{1073412}{5} x^{10}+685713 x^{9}+679446 x^{8}+\frac{888528}{7} x^{7}-\frac{556384}{3} x^{6}-\frac{663456}{5} x^{5}-15168 x^{4}+\frac{59392}{3} x^{3}+10752 x^{2}+2304 x"," ",0,"-656100/7*x^14-6604740/13*x^13-2220777/2*x^12-12353391/11*x^11-1073412/5*x^10+685713*x^9+679446*x^8+888528/7*x^7-556384/3*x^6-663456/5*x^5-15168*x^4+59392/3*x^3+10752*x^2+2304*x","A"
1356,1,65,55,0.002000," ","int((1-2*x)^3*(3*x+2)^7*(5*x+3)^2,x)","-\frac{437400}{13} x^{13}-159165 x^{12}-\frac{3168234}{11} x^{11}-\frac{2005641}{10} x^{10}+69054 x^{9}+\frac{1642815}{8} x^{8}+102378 x^{7}-\frac{90794}{3} x^{6}-\frac{249864}{5} x^{5}-13644 x^{4}+\frac{16160}{3} x^{3}+4512 x^{2}+1152 x"," ",0,"-437400/13*x^13-159165*x^12-3168234/11*x^11-2005641/10*x^10+69054*x^9+1642815/8*x^8+102378*x^7-90794/3*x^6-249864/5*x^5-13644*x^4+16160/3*x^3+4512*x^2+1152*x","A"
1357,1,60,55,0.001000," ","int((1-2*x)^3*(3*x+2)^6*(5*x+3)^2,x)","-12150 x^{12}-\frac{539460}{11} x^{11}-\frac{348219}{5} x^{10}-22695 x^{9}+\frac{85833}{2} x^{8}+45531 x^{7}+\frac{13202}{3} x^{6}-\frac{78132}{5} x^{5}-7800 x^{4}+\frac{2608}{3} x^{3}+1824 x^{2}+576 x"," ",0,"-12150*x^12-539460/11*x^11-348219/5*x^10-22695*x^9+85833/2*x^8+45531*x^7+13202/3*x^6-78132/5*x^5-7800*x^4+2608/3*x^3+1824*x^2+576*x","A"
1358,1,55,55,0.001000," ","int((1-2*x)^3*(3*x+2)^5*(5*x+3)^2,x)","-\frac{48600}{11} x^{11}-14742 x^{10}-14874 x^{9}+\frac{21159}{8} x^{8}+14334 x^{7}+\frac{39347}{6} x^{6}-3486 x^{5}-3606 x^{4}-\frac{784}{3} x^{3}+696 x^{2}+288 x"," ",0,"-48600/11*x^11-14742*x^10-14874*x^9+21159/8*x^8+14334*x^7+39347/6*x^6-3486*x^5-3606*x^4-784/3*x^3+696*x^2+288*x","A"
1359,1,50,55,0.002000," ","int((1-2*x)^3*(3*x+2)^4*(5*x+3)^2,x)","-1620 x^{10}-4260 x^{9}-\frac{9531}{4} x^{8}+2823 x^{7}+\frac{10136}{3} x^{6}-\frac{399}{5} x^{5}-1386 x^{4}-\frac{1112}{3} x^{3}+240 x^{2}+144 x"," ",0,"-1620*x^10-4260*x^9-9531/4*x^8+2823*x^7+10136/3*x^6-399/5*x^5-1386*x^4-1112/3*x^3+240*x^2+144*x","A"
1360,1,45,44,0.001000," ","int((1-2*x)^3*(3*x+2)^3*(5*x+3)^2,x)","-600 x^{9}-\frac{2295}{2} x^{8}-\frac{234}{7} x^{7}+\frac{6743}{6} x^{6}+\frac{2262}{5} x^{5}-\frac{1641}{4} x^{4}-\frac{754}{3} x^{3}+66 x^{2}+72 x"," ",0,"72*x+66*x^2-754/3*x^3-1641/4*x^4+2262/5*x^5+6743/6*x^6-234/7*x^7-2295/2*x^8-600*x^9","A"
1361,1,40,39,0.002000," ","int((1-2*x)^3*(3*x+2)^2*(5*x+3)^2,x)","-225 x^{8}-\frac{1860}{7} x^{7}+\frac{581}{3} x^{6}+\frac{1473}{5} x^{5}-57 x^{4}-\frac{395}{3} x^{3}+6 x^{2}+36 x"," ",0,"36*x+6*x^2-395/3*x^3-57*x^4+1473/5*x^5+581/3*x^6-1860/7*x^7-225*x^8","A"
1362,1,35,34,0.000000," ","int((1-2*x)^3*(3*x+2)*(5*x+3)^2,x)","-\frac{600}{7} x^{7}-\frac{110}{3} x^{6}+\frac{534}{5} x^{5}+\frac{135}{4} x^{4}-\frac{166}{3} x^{3}-\frac{21}{2} x^{2}+18 x"," ",0,"18*x-21/2*x^2-166/3*x^3+135/4*x^4+534/5*x^5-110/3*x^6-600/7*x^7","A"
1363,1,30,28,0.001000," ","int((1-2*x)^3*(5*x+3)^2,x)","-\frac{100}{3} x^{6}+12 x^{5}+\frac{69}{2} x^{4}-\frac{47}{3} x^{3}-12 x^{2}+9 x"," ",0,"-100/3*x^6+12*x^5+69/2*x^4-47/3*x^3-12*x^2+9*x","A"
1364,1,33,32,0.003000," ","int((1-2*x)^3*(5*x+3)^2/(3*x+2),x)","-\frac{40 x^{5}}{3}+\frac{145 x^{4}}{9}+\frac{82 x^{3}}{81}-\frac{1433 x^{2}}{162}+\frac{922 x}{243}+\frac{343 \ln \left(3 x +2\right)}{729}"," ",0,"922/243*x-1433/162*x^2+82/81*x^3+145/9*x^4-40/3*x^5+343/729*ln(3*x+2)","A"
1365,1,37,36,0.006000," ","int((1-2*x)^3*(5*x+3)^2/(3*x+2)^2,x)","-\frac{50 x^{4}}{9}+\frac{980 x^{3}}{81}-\frac{313 x^{2}}{27}+\frac{2323 x}{243}-\frac{3724 \ln \left(3 x +2\right)}{729}-\frac{343}{729 \left(3 x +2\right)}"," ",0,"2323/243*x-313/27*x^2+980/81*x^3-50/9*x^4-343/729/(3*x+2)-3724/729*ln(3*x+2)","A"
1366,1,41,40,0.007000," ","int((1-2*x)^3*(5*x+3)^2/(3*x+2)^3,x)","-\frac{200 x^{3}}{81}+\frac{230 x^{2}}{27}-\frac{1546 x}{81}+\frac{11599 \ln \left(3 x +2\right)}{729}-\frac{343}{1458 \left(3 x +2\right)^{2}}+\frac{3724}{729 \left(3 x +2\right)}"," ",0,"-1546/81*x+230/27*x^2-200/81*x^3-343/1458/(3*x+2)^2+3724/729/(3*x+2)+11599/729*ln(3*x+2)","A"
1367,1,45,44,0.006000," ","int((1-2*x)^3*(5*x+3)^2/(3*x+2)^4,x)","-\frac{100 x^{2}}{81}+\frac{1780 x}{243}-\frac{8198 \ln \left(3 x +2\right)}{729}-\frac{343}{2187 \left(3 x +2\right)^{3}}+\frac{1862}{729 \left(3 x +2\right)^{2}}-\frac{11599}{729 \left(3 x +2\right)}"," ",0,"1780/243*x-100/81*x^2-343/2187/(3*x+2)^3+1862/729/(3*x+2)^2-11599/729/(3*x+2)-8198/729*ln(3*x+2)","A"
1368,1,49,48,0.008000," ","int((1-2*x)^3*(5*x+3)^2/(3*x+2)^5,x)","-\frac{200 x}{243}+\frac{2180 \ln \left(3 x +2\right)}{729}-\frac{343}{2916 \left(3 x +2\right)^{4}}+\frac{3724}{2187 \left(3 x +2\right)^{3}}-\frac{11599}{1458 \left(3 x +2\right)^{2}}+\frac{8198}{729 \left(3 x +2\right)}"," ",0,"-200/243*x-343/2916/(3*x+2)^4+3724/2187/(3*x+2)^3-11599/1458/(3*x+2)^2+8198/729/(3*x+2)+2180/729*ln(3*x+2)","A"
1369,1,55,54,0.007000," ","int((1-2*x)^3*(5*x+3)^2/(3*x+2)^6,x)","-\frac{200 \ln \left(3 x +2\right)}{729}-\frac{343}{3645 \left(3 x +2\right)^{5}}+\frac{931}{729 \left(3 x +2\right)^{4}}-\frac{11599}{2187 \left(3 x +2\right)^{3}}+\frac{4099}{729 \left(3 x +2\right)^{2}}-\frac{2180}{729 \left(3 x +2\right)}"," ",0,"-343/3645/(3*x+2)^5+931/729/(3*x+2)^4-11599/2187/(3*x+2)^3+4099/729/(3*x+2)^2-2180/729/(3*x+2)-200/729*ln(3*x+2)","A"
1370,1,56,55,0.006000," ","int((1-2*x)^3*(5*x+3)^2/(3*x+2)^7,x)","-\frac{343}{4374 \left(3 x +2\right)^{6}}+\frac{3724}{3645 \left(3 x +2\right)^{5}}-\frac{11599}{2916 \left(3 x +2\right)^{4}}+\frac{8198}{2187 \left(3 x +2\right)^{3}}-\frac{1090}{729 \left(3 x +2\right)^{2}}+\frac{200}{729 \left(3 x +2\right)}"," ",0,"-343/4374/(3*x+2)^6+3724/3645/(3*x+2)^5-11599/2916/(3*x+2)^4+8198/2187/(3*x+2)^3-1090/729/(3*x+2)^2+200/729/(3*x+2)","A"
1371,1,56,55,0.007000," ","int((1-2*x)^3*(5*x+3)^2/(3*x+2)^8,x)","-\frac{49}{729 \left(3 x +2\right)^{7}}+\frac{1862}{2187 \left(3 x +2\right)^{6}}-\frac{11599}{3645 \left(3 x +2\right)^{5}}+\frac{4099}{1458 \left(3 x +2\right)^{4}}-\frac{2180}{2187 \left(3 x +2\right)^{3}}+\frac{100}{729 \left(3 x +2\right)^{2}}"," ",0,"-49/729/(3*x+2)^7+1862/2187/(3*x+2)^6-11599/3645/(3*x+2)^5+4099/1458/(3*x+2)^4-2180/2187/(3*x+2)^3+100/729/(3*x+2)^2","A"
1372,1,70,64,0.002000," ","int((1-2*x)^3*(3*x+2)^7*(5*x+3)^3,x)","-\frac{1093500}{7} x^{14}-\frac{10862100}{13} x^{13}-\frac{3595185}{2} x^{12}-\frac{19532907}{11} x^{11}-\frac{2909493}{10} x^{10}+1119837 x^{9}+\frac{8511675}{8} x^{8}+\frac{1241998}{7} x^{7}-299014 x^{6}-\frac{1022472}{5} x^{5}-20732 x^{4}+31200 x^{3}+16416 x^{2}+3456 x"," ",0,"-1093500/7*x^14-10862100/13*x^13-3595185/2*x^12-19532907/11*x^11-2909493/10*x^10+1119837*x^9+8511675/8*x^8+1241998/7*x^7-299014*x^6-1022472/5*x^5-20732*x^4+31200*x^3+16416*x^2+3456*x","A"
1373,1,65,64,0.002000," ","int((1-2*x)^3*(3*x+2)^6*(5*x+3)^3,x)","-\frac{729000}{13} x^{13}-261225 x^{12}-\frac{5100570}{11} x^{11}-\frac{3110589}{10} x^{10}+122655 x^{9}+\frac{2623581}{8} x^{8}+155453 x^{7}-51908 x^{6}-\frac{390396}{5} x^{5}-20140 x^{4}+8688 x^{3}+6912 x^{2}+1728 x"," ",0,"-729000/13*x^13-261225*x^12-5100570/11*x^11-3110589/10*x^10+122655*x^9+2623581/8*x^8+155453*x^7-51908*x^6-390396/5*x^5-20140*x^4+8688*x^3+6912*x^2+1728*x","A"
1374,1,60,64,0.002000," ","int((1-2*x)^3*(3*x+2)^5*(5*x+3)^3,x)","-20250 x^{12}-\frac{882900}{11} x^{11}-111159 x^{10}-32867 x^{9}+\frac{565167}{8} x^{8}+71107 x^{7}+\frac{10297}{2} x^{6}-24882 x^{5}-11798 x^{4}+1536 x^{3}+2808 x^{2}+864 x"," ",0,"-20250*x^12-882900/11*x^11-111159*x^10-32867*x^9+565167/8*x^8+71107*x^7+10297/2*x^6-24882*x^5-11798*x^4+1536*x^3+2808*x^2+864*x","A"
1375,1,55,54,0.002000," ","int((1-2*x)^3*(3*x+2)^4*(5*x+3)^3,x)","-\frac{81000}{11} x^{11}-24030 x^{10}-23370 x^{9}+\frac{41619}{8} x^{8}+22949 x^{7}+\frac{19607}{2} x^{6}-\frac{28917}{5} x^{5}-5548 x^{4}-312 x^{3}+1080 x^{2}+432 x"," ",0,"432*x+1080*x^2-312*x^3-5548*x^4-28917/5*x^5+19607/2*x^6+22949*x^7+41619/8*x^8-23370*x^9-24030*x^10-81000/11*x^11","A"
1376,1,50,49,0.001000," ","int((1-2*x)^3*(3*x+2)^3*(5*x+3)^3,x)","-2700 x^{10}-6900 x^{9}-\frac{14355}{4} x^{8}+\frac{33013}{7} x^{7}+\frac{10513}{2} x^{6}-\frac{1419}{5} x^{5}-\frac{8693}{4} x^{4}-534 x^{3}+378 x^{2}+216 x"," ",0,"216*x+378*x^2-534*x^3-8693/4*x^4-1419/5*x^5+10513/2*x^6+33013/7*x^7-14355/4*x^8-6900*x^9-2700*x^10","A"
1377,1,45,44,0.001000," ","int((1-2*x)^3*(3*x+2)^2*(5*x+3)^3,x)","-1000 x^{9}-\frac{3675}{2} x^{8}+\frac{230}{7} x^{7}+\frac{3617}{2} x^{6}+\frac{3279}{5} x^{5}-\frac{2659}{4} x^{4}-375 x^{3}+108 x^{2}+108 x"," ",0,"108*x+108*x^2-375*x^3-2659/4*x^4+3279/5*x^5+3617/2*x^6+230/7*x^7-3675/2*x^8-1000*x^9","A"
1378,1,40,39,0.002000," ","int((1-2*x)^3*(3*x+2)*(5*x+3)^3,x)","-375 x^{8}-\frac{2900}{7} x^{7}+335 x^{6}+\frac{2277}{5} x^{5}-\frac{425}{4} x^{4}-201 x^{3}+\frac{27}{2} x^{2}+54 x"," ",0,"54*x+27/2*x^2-201*x^3-425/4*x^4+2277/5*x^5+335*x^6-2900/7*x^7-375*x^8","A"
1379,1,35,34,0.002000," ","int((1-2*x)^3*(5*x+3)^3,x)","-\frac{1000}{7} x^{7}-50 x^{6}+174 x^{5}+\frac{179}{4} x^{4}-87 x^{3}-\frac{27}{2} x^{2}+27 x"," ",0,"27*x-27/2*x^2-87*x^3+179/4*x^4+174*x^5-50*x^6-1000/7*x^7","A"
1380,1,38,37,0.003000," ","int((1-2*x)^3*(5*x+3)^3/(3*x+2),x)","-\frac{500 x^{6}}{9}+\frac{220 x^{5}}{9}+\frac{2815 x^{4}}{54}-\frac{6427 x^{3}}{243}-\frac{8287 x^{2}}{486}+\frac{10013 x}{729}-\frac{343 \ln \left(3 x +2\right)}{2187}"," ",0,"10013/729*x-8287/486*x^2-6427/243*x^3+2815/54*x^4+220/9*x^5-500/9*x^6-343/2187*ln(3*x+2)","A"
1381,1,42,41,0.007000," ","int((1-2*x)^3*(5*x+3)^3/(3*x+2)^2,x)","-\frac{200 x^{5}}{9}+\frac{775 x^{4}}{27}-\frac{190 x^{3}}{81}-\frac{5287 x^{2}}{486}+\frac{2287 x}{729}+\frac{1813 \ln \left(3 x +2\right)}{729}+\frac{343}{2187 \left(3 x +2\right)}"," ",0,"2287/729*x-5287/486*x^2-190/81*x^3+775/27*x^4-200/9*x^5+343/2187/(3*x+2)+1813/729*ln(3*x+2)","A"
1382,1,46,45,0.007000," ","int((1-2*x)^3*(5*x+3)^3/(3*x+2)^3,x)","-\frac{250 x^{4}}{27}+\frac{1700 x^{3}}{81}-\frac{1795 x^{2}}{81}+\frac{16253 x}{729}-\frac{10073 \ln \left(3 x +2\right)}{729}+\frac{343}{4374 \left(3 x +2\right)^{2}}-\frac{1813}{729 \left(3 x +2\right)}"," ",0,"16253/729*x-1795/81*x^2+1700/81*x^3-250/27*x^4+343/4374/(3*x+2)^2-1813/729/(3*x+2)-10073/729*ln(3*x+2)","A"
1383,1,50,49,0.008000," ","int((1-2*x)^3*(5*x+3)^3/(3*x+2)^4,x)","-\frac{1000 x^{3}}{243}+\frac{3550 x^{2}}{243}-\frac{24970 x}{729}+\frac{66193 \ln \left(3 x +2\right)}{2187}+\frac{343}{6561 \left(3 x +2\right)^{3}}-\frac{1813}{1458 \left(3 x +2\right)^{2}}+\frac{10073}{729 \left(3 x +2\right)}"," ",0,"-24970/729*x+3550/243*x^2-1000/243*x^3+343/6561/(3*x+2)^3-1813/1458/(3*x+2)^2+10073/729/(3*x+2)+66193/2187*ln(3*x+2)","A"
1384,1,54,53,0.007000," ","int((1-2*x)^3*(5*x+3)^3/(3*x+2)^5,x)","-\frac{500 x^{2}}{243}+\frac{9100 x}{729}-\frac{14390 \ln \left(3 x +2\right)}{729}+\frac{343}{8748 \left(3 x +2\right)^{4}}-\frac{1813}{2187 \left(3 x +2\right)^{3}}+\frac{10073}{1458 \left(3 x +2\right)^{2}}-\frac{66193}{2187 \left(3 x +2\right)}"," ",0,"9100/729*x-500/243*x^2+343/8748/(3*x+2)^4-1813/2187/(3*x+2)^3+10073/1458/(3*x+2)^2-66193/2187/(3*x+2)-14390/729*ln(3*x+2)","A"
1385,1,58,57,0.008000," ","int((1-2*x)^3*(5*x+3)^3/(3*x+2)^6,x)","-\frac{1000 x}{729}+\frac{3700 \ln \left(3 x +2\right)}{729}+\frac{343}{10935 \left(3 x +2\right)^{5}}-\frac{1813}{2916 \left(3 x +2\right)^{4}}+\frac{10073}{2187 \left(3 x +2\right)^{3}}-\frac{66193}{4374 \left(3 x +2\right)^{2}}+\frac{14390}{729 \left(3 x +2\right)}"," ",0,"-1000/729*x+343/10935/(3*x+2)^5-1813/2916/(3*x+2)^4+10073/2187/(3*x+2)^3-66193/4374/(3*x+2)^2+14390/729/(3*x+2)+3700/729*ln(3*x+2)","A"
1386,1,64,63,0.006000," ","int((1-2*x)^3*(5*x+3)^3/(3*x+2)^7,x)","-\frac{1000 \ln \left(3 x +2\right)}{2187}+\frac{343}{13122 \left(3 x +2\right)^{6}}-\frac{1813}{3645 \left(3 x +2\right)^{5}}+\frac{10073}{2916 \left(3 x +2\right)^{4}}-\frac{66193}{6561 \left(3 x +2\right)^{3}}+\frac{7195}{729 \left(3 x +2\right)^{2}}-\frac{3700}{729 \left(3 x +2\right)}"," ",0,"343/13122/(3*x+2)^6-1813/3645/(3*x+2)^5+10073/2916/(3*x+2)^4-66193/6561/(3*x+2)^3+7195/729/(3*x+2)^2-3700/729/(3*x+2)-1000/2187*ln(3*x+2)","A"
1387,1,65,64,0.007000," ","int((1-2*x)^3*(5*x+3)^3/(3*x+2)^8,x)","\frac{49}{2187 \left(3 x +2\right)^{7}}-\frac{1813}{4374 \left(3 x +2\right)^{6}}+\frac{10073}{3645 \left(3 x +2\right)^{5}}-\frac{66193}{8748 \left(3 x +2\right)^{4}}+\frac{14390}{2187 \left(3 x +2\right)^{3}}-\frac{1850}{729 \left(3 x +2\right)^{2}}+\frac{1000}{2187 \left(3 x +2\right)}"," ",0,"49/2187/(3*x+2)^7-1813/4374/(3*x+2)^6+10073/3645/(3*x+2)^5-66193/8748/(3*x+2)^4+14390/2187/(3*x+2)^3-1850/729/(3*x+2)^2+1000/2187/(3*x+2)","A"
1388,1,53,52,0.004000," ","int((1-2*x)^3*(3*x+2)^6/(5*x+3),x)","-\frac{648 x^{9}}{5}-\frac{13851 x^{8}}{50}-\frac{40338 x^{7}}{875}+\frac{331713 x^{6}}{1250}+\frac{2212083 x^{5}}{15625}-\frac{5848749 x^{4}}{62500}-\frac{17453753 x^{3}}{234375}+\frac{11111259 x^{2}}{781250}+\frac{41666223 x}{1953125}+\frac{1331 \ln \left(5 x +3\right)}{9765625}"," ",0,"41666223/1953125*x+11111259/781250*x^2-17453753/234375*x^3-5848749/62500*x^4+2212083/15625*x^5+331713/1250*x^6-40338/875*x^7-13851/50*x^8-648/5*x^9+1331/9765625*ln(5*x+3)","A"
1389,1,48,47,0.002000," ","int((1-2*x)^3*(3*x+2)^5/(5*x+3),x)","-\frac{243 x^{8}}{5}-\frac{11988 x^{7}}{175}+\frac{4419 x^{6}}{125}+\frac{243333 x^{5}}{3125}-\frac{73749 x^{4}}{12500}-\frac{1703753 x^{3}}{46875}-\frac{138741 x^{2}}{156250}+\frac{4166223 x}{390625}+\frac{1331 \ln \left(5 x +3\right)}{1953125}"," ",0,"4166223/390625*x-138741/156250*x^2-1703753/46875*x^3-73749/12500*x^4+243333/3125*x^5+4419/125*x^6-11988/175*x^7-243/5*x^8+1331/1953125*ln(5*x+3)","A"
1390,1,43,42,0.005000," ","int((1-2*x)^3*(3*x+2)^4/(5*x+3),x)","-\frac{648 x^{7}}{35}-\frac{306 x^{6}}{25}+\frac{14958 x^{5}}{625}+\frac{31251 x^{4}}{2500}-\frac{128753 x^{3}}{9375}-\frac{138741 x^{2}}{31250}+\frac{416223 x}{78125}+\frac{1331 \ln \left(5 x +3\right)}{390625}"," ",0,"416223/78125*x-138741/31250*x^2-128753/9375*x^3+31251/2500*x^4+14958/625*x^5-306/25*x^6-648/35*x^7+1331/390625*ln(5*x+3)","A"
1391,1,38,37,0.003000," ","int((1-2*x)^3*(3*x+2)^3/(5*x+3),x)","-\frac{36 x^{6}}{5}+\frac{108 x^{5}}{125}+\frac{2313 x^{4}}{250}-\frac{5003 x^{3}}{1875}-\frac{26241 x^{2}}{6250}+\frac{41223 x}{15625}+\frac{1331 \ln \left(5 x +3\right)}{78125}"," ",0,"41223/15625*x-26241/6250*x^2-5003/1875*x^3+2313/250*x^4+108/125*x^5-36/5*x^6+1331/78125*ln(5*x+3)","A"
1392,1,33,32,0.003000," ","int((1-2*x)^3*(3*x+2)^2/(5*x+3),x)","-\frac{72 x^{5}}{25}+\frac{69 x^{4}}{25}+\frac{622 x^{3}}{375}-\frac{3741 x^{2}}{1250}+\frac{3723 x}{3125}+\frac{1331 \ln \left(5 x +3\right)}{15625}"," ",0,"3723/3125*x-3741/1250*x^2+622/375*x^3+69/25*x^4-72/25*x^5+1331/15625*ln(5*x+3)","A"
1393,1,28,27,0.003000," ","int((1-2*x)^3*(3*x+2)/(5*x+3),x)","-\frac{6 x^{4}}{5}+\frac{172 x^{3}}{75}-\frac{183 x^{2}}{125}-\frac{27 x}{625}+\frac{1331 \ln \left(5 x +3\right)}{3125}"," ",0,"-27/625*x-183/125*x^2+172/75*x^3-6/5*x^4+1331/3125*ln(5*x+3)","A"
1394,1,23,22,0.003000," ","int((1-2*x)^3/(5*x+3),x)","-\frac{8 x^{3}}{15}+\frac{42 x^{2}}{25}-\frac{402 x}{125}+\frac{1331 \ln \left(5 x +3\right)}{625}"," ",0,"-402/125*x+42/25*x^2-8/15*x^3+1331/625*ln(5*x+3)","A"
1395,1,26,25,0.007000," ","int((1-2*x)^3/(3*x+2)/(5*x+3),x)","-\frac{4 x^{2}}{15}+\frac{332 x}{225}-\frac{343 \ln \left(3 x +2\right)}{27}+\frac{1331 \ln \left(5 x +3\right)}{125}"," ",0,"332/225*x-4/15*x^2-343/27*ln(3*x+2)+1331/125*ln(5*x+3)","A"
1396,1,30,29,0.007000," ","int((1-2*x)^3/(3*x+2)^2/(5*x+3),x)","-\frac{8 x}{45}-\frac{1421 \ln \left(3 x +2\right)}{27}+\frac{1331 \ln \left(5 x +3\right)}{25}+\frac{343}{27 \left(3 x +2\right)}"," ",0,"-8/45*x+343/27/(3*x+2)-1421/27*ln(3*x+2)+1331/25*ln(5*x+3)","A"
1397,1,36,35,0.007000," ","int((1-2*x)^3/(3*x+2)^3/(5*x+3),x)","-\frac{7189 \ln \left(3 x +2\right)}{27}+\frac{1331 \ln \left(5 x +3\right)}{5}+\frac{343}{54 \left(3 x +2\right)^{2}}+\frac{1421}{27 \left(3 x +2\right)}"," ",0,"343/54/(3*x+2)^2+1421/27/(3*x+2)-7189/27*ln(3*x+2)+1331/5*ln(5*x+3)","A"
1398,1,45,44,0.007000," ","int((1-2*x)^3/(3*x+2)^4/(5*x+3),x)","-1331 \ln \left(3 x +2\right)+1331 \ln \left(5 x +3\right)+\frac{343}{81 \left(3 x +2\right)^{3}}+\frac{1421}{54 \left(3 x +2\right)^{2}}+\frac{7189}{27 \left(3 x +2\right)}"," ",0,"343/81/(3*x+2)^3+1421/54/(3*x+2)^2+7189/27/(3*x+2)-1331*ln(3*x+2)+1331*ln(5*x+3)","A"
1399,1,54,53,0.009000," ","int((1-2*x)^3/(3*x+2)^5/(5*x+3),x)","-6655 \ln \left(3 x +2\right)+6655 \ln \left(5 x +3\right)+\frac{343}{108 \left(3 x +2\right)^{4}}+\frac{1421}{81 \left(3 x +2\right)^{3}}+\frac{7189}{54 \left(3 x +2\right)^{2}}+\frac{1331}{3 x +2}"," ",0,"343/108/(3*x+2)^4+1421/81/(3*x+2)^3+7189/54/(3*x+2)^2+1331/(3*x+2)-6655*ln(3*x+2)+6655*ln(5*x+3)","A"
1400,1,63,62,0.009000," ","int((1-2*x)^3/(3*x+2)^6/(5*x+3),x)","-33275 \ln \left(3 x +2\right)+33275 \ln \left(5 x +3\right)+\frac{343}{135 \left(3 x +2\right)^{5}}+\frac{1421}{108 \left(3 x +2\right)^{4}}+\frac{7189}{81 \left(3 x +2\right)^{3}}+\frac{1331}{2 \left(3 x +2\right)^{2}}+\frac{6655}{3 x +2}"," ",0,"343/135/(3*x+2)^5+1421/108/(3*x+2)^4+7189/81/(3*x+2)^3+1331/2/(3*x+2)^2+6655/(3*x+2)-33275*ln(3*x+2)+33275*ln(5*x+3)","A"
1401,1,72,71,0.008000," ","int((1-2*x)^3/(3*x+2)^7/(5*x+3),x)","-166375 \ln \left(3 x +2\right)+166375 \ln \left(5 x +3\right)+\frac{343}{162 \left(3 x +2\right)^{6}}+\frac{1421}{135 \left(3 x +2\right)^{5}}+\frac{7189}{108 \left(3 x +2\right)^{4}}+\frac{1331}{3 \left(3 x +2\right)^{3}}+\frac{6655}{2 \left(3 x +2\right)^{2}}+\frac{33275}{3 x +2}"," ",0,"343/162/(3*x+2)^6+1421/135/(3*x+2)^5+7189/108/(3*x+2)^4+1331/3/(3*x+2)^3+6655/2/(3*x+2)^2+33275/(3*x+2)-166375*ln(3*x+2)+166375*ln(5*x+3)","A"
1402,1,81,80,0.009000," ","int((1-2*x)^3/(3*x+2)^8/(5*x+3),x)","-831875 \ln \left(3 x +2\right)+831875 \ln \left(5 x +3\right)+\frac{49}{27 \left(3 x +2\right)^{7}}+\frac{1421}{162 \left(3 x +2\right)^{6}}+\frac{7189}{135 \left(3 x +2\right)^{5}}+\frac{1331}{4 \left(3 x +2\right)^{4}}+\frac{6655}{3 \left(3 x +2\right)^{3}}+\frac{33275}{2 \left(3 x +2\right)^{2}}+\frac{166375}{3 x +2}"," ",0,"49/27/(3*x+2)^7+1421/162/(3*x+2)^6+7189/135/(3*x+2)^5+1331/4/(3*x+2)^4+6655/3/(3*x+2)^3+33275/2/(3*x+2)^2+166375/(3*x+2)-831875*ln(3*x+2)+831875*ln(5*x+3)","A"
1403,1,57,56,0.006000," ","int((1-2*x)^3*(3*x+2)^6/(5*x+3)^2,x)","-\frac{729 x^{8}}{25}-\frac{37908 x^{7}}{875}+\frac{12231 x^{6}}{625}+\frac{774981 x^{5}}{15625}-\frac{5643 x^{4}}{3125}-\frac{1836723 x^{3}}{78125}-\frac{461623 x^{2}}{390625}+\frac{13880997 x}{1953125}+\frac{23232 \ln \left(5 x +3\right)}{9765625}-\frac{1331}{9765625 \left(5 x +3\right)}"," ",0,"13880997/1953125*x-461623/390625*x^2-1836723/78125*x^3-5643/3125*x^4+774981/15625*x^5+12231/625*x^6-37908/875*x^7-729/25*x^8-1331/9765625/(5*x+3)+23232/9765625*ln(5*x+3)","A"
1404,1,52,51,0.007000," ","int((1-2*x)^3*(3*x+2)^5/(5*x+3)^2,x)","-\frac{1944 x^{7}}{175}-\frac{1026 x^{6}}{125}+\frac{44982 x^{5}}{3125}+\frac{108387 x^{4}}{12500}-\frac{26594 x^{3}}{3125}-\frac{507023 x^{2}}{156250}+\frac{1382328 x}{390625}+\frac{19239 \ln \left(5 x +3\right)}{1953125}-\frac{1331}{1953125 \left(5 x +3\right)}"," ",0,"1382328/390625*x-507023/156250*x^2-26594/3125*x^3+108387/12500*x^4+44982/3125*x^5-1026/125*x^6-1944/175*x^7-1331/1953125/(5*x+3)+19239/1953125*ln(5*x+3)","A"
1405,1,47,46,0.006000," ","int((1-2*x)^3*(3*x+2)^4/(5*x+3)^2,x)","-\frac{108 x^{6}}{25}+\frac{108 x^{5}}{625}+\frac{7317 x^{4}}{1250}-\frac{4217 x^{3}}{3125}-\frac{1816 x^{2}}{625}+\frac{133659 x}{78125}+\frac{15246 \ln \left(5 x +3\right)}{390625}-\frac{1331}{390625 \left(5 x +3\right)}"," ",0,"133659/78125*x-1816/625*x^2-4217/3125*x^3+7317/1250*x^4+108/625*x^5-108/25*x^6-1331/390625/(5*x+3)+15246/390625*ln(5*x+3)","A"
1406,1,42,41,0.007000," ","int((1-2*x)^3*(3*x+2)^3/(5*x+3)^2,x)","-\frac{216 x^{5}}{125}+\frac{189 x^{4}}{125}+\frac{786 x^{3}}{625}-\frac{12077 x^{2}}{6250}+\frac{1998 x}{3125}+\frac{11253 \ln \left(5 x +3\right)}{78125}-\frac{1331}{78125 \left(5 x +3\right)}"," ",0,"1998/3125*x-12077/6250*x^2+786/625*x^3+189/125*x^4-216/125*x^5-1331/78125/(5*x+3)+11253/78125*ln(5*x+3)","A"
1407,1,37,36,0.007000," ","int((1-2*x)^3*(3*x+2)^2/(5*x+3)^2,x)","-\frac{18 x^{4}}{25}+\frac{164 x^{3}}{125}-\frac{427 x^{2}}{625}-\frac{1179 x}{3125}+\frac{1452 \ln \left(5 x +3\right)}{3125}-\frac{1331}{15625 \left(5 x +3\right)}"," ",0,"-1179/3125*x-427/625*x^2+164/125*x^3-18/25*x^4-1331/15625/(5*x+3)+1452/3125*ln(5*x+3)","A"
1408,1,32,31,0.007000," ","int((1-2*x)^3*(3*x+2)/(5*x+3)^2,x)","-\frac{8 x^{3}}{25}+\frac{122 x^{2}}{125}-\frac{1098 x}{625}+\frac{3267 \ln \left(5 x +3\right)}{3125}-\frac{1331}{3125 \left(5 x +3\right)}"," ",0,"-1098/625*x+122/125*x^2-8/25*x^3-1331/3125/(5*x+3)+3267/3125*ln(5*x+3)","A"
1409,1,27,26,0.007000," ","int((1-2*x)^3/(5*x+3)^2,x)","-\frac{4 x^{2}}{25}+\frac{108 x}{125}-\frac{726 \ln \left(5 x +3\right)}{625}-\frac{1331}{625 \left(5 x +3\right)}"," ",0,"108/125*x-4/25*x^2-1331/625/(5*x+3)-726/625*ln(5*x+3)","A"
1410,1,30,29,0.010000," ","int((1-2*x)^3/(3*x+2)/(5*x+3)^2,x)","-\frac{8 x}{75}+\frac{343 \ln \left(3 x +2\right)}{9}-\frac{4719 \ln \left(5 x +3\right)}{125}-\frac{1331}{125 \left(5 x +3\right)}"," ",0,"-8/75*x-1331/125/(5*x+3)+343/9*ln(3*x+2)-4719/125*ln(5*x+3)","A"
1411,1,36,35,0.012000," ","int((1-2*x)^3/(3*x+2)^2/(5*x+3)^2,x)","\frac{3136 \ln \left(3 x +2\right)}{9}-\frac{8712 \ln \left(5 x +3\right)}{25}-\frac{343}{9 \left(3 x +2\right)}-\frac{1331}{25 \left(5 x +3\right)}"," ",0,"-343/9/(3*x+2)-1331/25/(5*x+3)+3136/9*ln(3*x+2)-8712/25*ln(5*x+3)","A"
1412,1,45,44,0.010000," ","int((1-2*x)^3/(3*x+2)^3/(5*x+3)^2,x)","2541 \ln \left(3 x +2\right)-2541 \ln \left(5 x +3\right)-\frac{343}{18 \left(3 x +2\right)^{2}}-\frac{3136}{9 \left(3 x +2\right)}-\frac{1331}{5 \left(5 x +3\right)}"," ",0,"-343/18/(3*x+2)^2-3136/9/(3*x+2)-1331/5/(5*x+3)+2541*ln(3*x+2)-2541*ln(5*x+3)","A"
1413,1,54,53,0.008000," ","int((1-2*x)^3/(3*x+2)^4/(5*x+3)^2,x)","16698 \ln \left(3 x +2\right)-16698 \ln \left(5 x +3\right)-\frac{343}{27 \left(3 x +2\right)^{3}}-\frac{1568}{9 \left(3 x +2\right)^{2}}-\frac{2541}{3 x +2}-\frac{1331}{5 x +3}"," ",0,"-343/27/(3*x+2)^3-1568/9/(3*x+2)^2-2541/(3*x+2)-1331/(5*x+3)+16698*ln(3*x+2)-16698*ln(5*x+3)","A"
1414,1,63,62,0.011000," ","int((1-2*x)^3/(3*x+2)^5/(5*x+3)^2,x)","103455 \ln \left(3 x +2\right)-103455 \ln \left(5 x +3\right)-\frac{343}{36 \left(3 x +2\right)^{4}}-\frac{3136}{27 \left(3 x +2\right)^{3}}-\frac{2541}{2 \left(3 x +2\right)^{2}}-\frac{16698}{3 x +2}-\frac{6655}{5 x +3}"," ",0,"-343/36/(3*x+2)^4-3136/27/(3*x+2)^3-2541/2/(3*x+2)^2-16698/(3*x+2)-6655/(5*x+3)+103455*ln(3*x+2)-103455*ln(5*x+3)","A"
1415,1,72,71,0.011000," ","int((1-2*x)^3/(3*x+2)^6/(5*x+3)^2,x)","617100 \ln \left(3 x +2\right)-617100 \ln \left(5 x +3\right)-\frac{343}{45 \left(3 x +2\right)^{5}}-\frac{784}{9 \left(3 x +2\right)^{4}}-\frac{847}{\left(3 x +2\right)^{3}}-\frac{8349}{\left(3 x +2\right)^{2}}-\frac{103455}{3 x +2}-\frac{33275}{5 x +3}"," ",0,"-343/45/(3*x+2)^5-784/9/(3*x+2)^4-847/(3*x+2)^3-8349/(3*x+2)^2-103455/(3*x+2)-33275/(5*x+3)+617100*ln(3*x+2)-617100*ln(5*x+3)","A"
1416,1,81,80,0.012000," ","int((1-2*x)^3/(3*x+2)^7/(5*x+3)^2,x)","3584625 \ln \left(3 x +2\right)-3584625 \ln \left(5 x +3\right)-\frac{343}{54 \left(3 x +2\right)^{6}}-\frac{3136}{45 \left(3 x +2\right)^{5}}-\frac{2541}{4 \left(3 x +2\right)^{4}}-\frac{5566}{\left(3 x +2\right)^{3}}-\frac{103455}{2 \left(3 x +2\right)^{2}}-\frac{617100}{3 x +2}-\frac{166375}{5 x +3}"," ",0,"-343/54/(3*x+2)^6-3136/45/(3*x+2)^5-2541/4/(3*x+2)^4-5566/(3*x+2)^3-103455/2/(3*x+2)^2-617100/(3*x+2)-166375/(5*x+3)+3584625*ln(3*x+2)-3584625*ln(5*x+3)","A"
1417,1,90,89,0.013000," ","int((1-2*x)^3/(3*x+2)^8/(5*x+3)^2,x)","20418750 \ln \left(3 x +2\right)-20418750 \ln \left(5 x +3\right)-\frac{49}{9 \left(3 x +2\right)^{7}}-\frac{1568}{27 \left(3 x +2\right)^{6}}-\frac{2541}{5 \left(3 x +2\right)^{5}}-\frac{8349}{2 \left(3 x +2\right)^{4}}-\frac{34485}{\left(3 x +2\right)^{3}}-\frac{308550}{\left(3 x +2\right)^{2}}-\frac{3584625}{3 x +2}-\frac{831875}{5 x +3}"," ",0,"-49/9/(3*x+2)^7-1568/27/(3*x+2)^6-2541/5/(3*x+2)^5-8349/2/(3*x+2)^4-34485/(3*x+2)^3-308550/(3*x+2)^2-3584625/(3*x+2)-831875/(5*x+3)+20418750*ln(3*x+2)-20418750*ln(5*x+3)","A"
1418,1,66,65,0.007000," ","int((1-2*x)^3*(3*x+2)^7/(5*x+3)^3,x)","-\frac{2187 x^{8}}{125}-\frac{119556 x^{7}}{4375}+\frac{33291 x^{6}}{3125}+\frac{491913 x^{5}}{15625}+\frac{6507 x^{4}}{62500}-\frac{5918904 x^{3}}{390625}-\frac{2300646 x^{2}}{1953125}+\frac{46214407 x}{9765625}+\frac{47289 \ln \left(5 x +3\right)}{9765625}-\frac{1331}{97656250 \left(5 x +3\right)^{2}}-\frac{1089}{1953125 \left(5 x +3\right)}"," ",0,"46214407/9765625*x-2300646/1953125*x^2-5918904/390625*x^3+6507/62500*x^4+491913/15625*x^5+33291/3125*x^6-119556/4375*x^7-2187/125*x^8-1331/97656250/(5*x+3)^2-1089/1953125/(5*x+3)+47289/9765625*ln(5*x+3)","A"
1419,1,61,60,0.007000," ","int((1-2*x)^3*(3*x+2)^6/(5*x+3)^3,x)","-\frac{5832 x^{7}}{875}-\frac{3402 x^{6}}{625}+\frac{134622 x^{5}}{15625}+\frac{74223 x^{4}}{12500}-\frac{81747 x^{3}}{15625}-\frac{915777 x^{2}}{390625}+\frac{4571416 x}{1953125}+\frac{166749 \ln \left(5 x +3\right)}{9765625}-\frac{1331}{19531250 \left(5 x +3\right)^{2}}-\frac{23232}{9765625 \left(5 x +3\right)}"," ",0,"4571416/1953125*x-915777/390625*x^2-81747/15625*x^3+74223/12500*x^4+134622/15625*x^5-3402/625*x^6-5832/875*x^7-1331/19531250/(5*x+3)^2-23232/9765625/(5*x+3)+166749/9765625*ln(5*x+3)","A"
1420,1,56,55,0.007000," ","int((1-2*x)^3*(3*x+2)^5/(5*x+3)^3,x)","-\frac{324 x^{6}}{125}-\frac{324 x^{5}}{3125}+\frac{22977 x^{4}}{6250}-\frac{393 x^{3}}{625}-\frac{62097 x^{2}}{31250}+\frac{424432 x}{390625}+\frac{109032 \ln \left(5 x +3\right)}{1953125}-\frac{1331}{3906250 \left(5 x +3\right)^{2}}-\frac{19239}{1953125 \left(5 x +3\right)}"," ",0,"424432/390625*x-62097/31250*x^2-393/625*x^3+22977/6250*x^4-324/3125*x^5-324/125*x^6-1331/3906250/(5*x+3)^2-19239/1953125/(5*x+3)+109032/1953125*ln(5*x+3)","A"
1421,1,51,50,0.007000," ","int((1-2*x)^3*(3*x+2)^4/(5*x+3)^3,x)","-\frac{648 x^{5}}{625}+\frac{513 x^{4}}{625}+\frac{2826 x^{3}}{3125}-\frac{7617 x^{2}}{6250}+\frac{4691 x}{15625}+\frac{63294 \ln \left(5 x +3\right)}{390625}-\frac{1331}{781250 \left(5 x +3\right)^{2}}-\frac{15246}{390625 \left(5 x +3\right)}"," ",0,"4691/15625*x-7617/6250*x^2+2826/3125*x^3+513/625*x^4-648/625*x^5-1331/781250/(5*x+3)^2-15246/390625/(5*x+3)+63294/390625*ln(5*x+3)","A"
1422,1,46,45,0.006000," ","int((1-2*x)^3*(3*x+2)^3/(5*x+3)^3,x)","-\frac{54 x^{4}}{125}+\frac{468 x^{3}}{625}-\frac{927 x^{2}}{3125}-\frac{1303 x}{3125}+\frac{5907 \ln \left(5 x +3\right)}{15625}-\frac{1331}{156250 \left(5 x +3\right)^{2}}-\frac{11253}{78125 \left(5 x +3\right)}"," ",0,"-1303/3125*x-927/3125*x^2+468/625*x^3-54/125*x^4-1331/156250/(5*x+3)^2-11253/78125/(5*x+3)+5907/15625*ln(5*x+3)","A"
1423,1,41,40,0.007000," ","int((1-2*x)^3*(3*x+2)^2/(5*x+3)^3,x)","-\frac{24 x^{3}}{125}+\frac{354 x^{2}}{625}-\frac{2978 x}{3125}+\frac{1551 \ln \left(5 x +3\right)}{3125}-\frac{1331}{31250 \left(5 x +3\right)^{2}}-\frac{1452}{3125 \left(5 x +3\right)}"," ",0,"-2978/3125*x+354/625*x^2-24/125*x^3-1331/31250/(5*x+3)^2-1452/3125/(5*x+3)+1551/3125*ln(5*x+3)","A"
1424,1,36,35,0.008000," ","int((1-2*x)^3*(3*x+2)/(5*x+3)^3,x)","-\frac{12 x^{2}}{125}+\frac{316 x}{625}-\frac{2046 \ln \left(5 x +3\right)}{3125}-\frac{1331}{6250 \left(5 x +3\right)^{2}}-\frac{3267}{3125 \left(5 x +3\right)}"," ",0,"316/625*x-12/125*x^2-1331/6250/(5*x+3)^2-3267/3125/(5*x+3)-2046/3125*ln(5*x+3)","A"
1425,1,31,30,0.007000," ","int((1-2*x)^3/(5*x+3)^3,x)","-\frac{8 x}{125}+\frac{132 \ln \left(5 x +3\right)}{625}-\frac{1331}{1250 \left(5 x +3\right)^{2}}+\frac{726}{625 \left(5 x +3\right)}"," ",0,"-8/125*x-1331/1250/(5*x+3)^2+726/625/(5*x+3)+132/625*ln(5*x+3)","A"
1426,1,36,35,0.008000," ","int((1-2*x)^3/(3*x+2)/(5*x+3)^3,x)","-\frac{343 \ln \left(3 x +2\right)}{3}+\frac{14289 \ln \left(5 x +3\right)}{125}-\frac{1331}{250 \left(5 x +3\right)^{2}}+\frac{4719}{125 \left(5 x +3\right)}"," ",0,"-1331/250/(5*x+3)^2+4719/125/(5*x+3)-343/3*ln(3*x+2)+14289/125*ln(5*x+3)","A"
1427,1,45,44,0.010000," ","int((1-2*x)^3/(3*x+2)^2/(5*x+3)^3,x)","-1617 \ln \left(3 x +2\right)+1617 \ln \left(5 x +3\right)+\frac{343}{3 \left(3 x +2\right)}-\frac{1331}{50 \left(5 x +3\right)^{2}}+\frac{8712}{25 \left(5 x +3\right)}"," ",0,"343/3/(3*x+2)-1331/50/(5*x+3)^2+8712/25/(5*x+3)-1617*ln(3*x+2)+1617*ln(5*x+3)","A"
1428,1,54,53,0.011000," ","int((1-2*x)^3/(3*x+2)^3/(5*x+3)^3,x)","-15708 \ln \left(3 x +2\right)+15708 \ln \left(5 x +3\right)+\frac{343}{6 \left(3 x +2\right)^{2}}+\frac{1617}{3 x +2}-\frac{1331}{10 \left(5 x +3\right)^{2}}+\frac{2541}{5 x +3}"," ",0,"343/6/(3*x+2)^2+1617/(3*x+2)-1331/10/(5*x+3)^2+2541/(5*x+3)-15708*ln(3*x+2)+15708*ln(5*x+3)","A"
1429,1,63,62,0.010000," ","int((1-2*x)^3/(3*x+2)^4/(5*x+3)^3,x)","-128634 \ln \left(3 x +2\right)+128634 \ln \left(5 x +3\right)+\frac{343}{9 \left(3 x +2\right)^{3}}+\frac{1617}{2 \left(3 x +2\right)^{2}}+\frac{15708}{3 x +2}-\frac{1331}{2 \left(5 x +3\right)^{2}}+\frac{16698}{5 x +3}"," ",0,"343/9/(3*x+2)^3+1617/2/(3*x+2)^2+15708/(3*x+2)-1331/2/(5*x+3)^2+16698/(5*x+3)-128634*ln(3*x+2)+128634*ln(5*x+3)","A"
1430,1,72,71,0.010000," ","int((1-2*x)^3/(3*x+2)^5/(5*x+3)^3,x)","-953535 \ln \left(3 x +2\right)+953535 \ln \left(5 x +3\right)+\frac{343}{12 \left(3 x +2\right)^{4}}+\frac{539}{\left(3 x +2\right)^{3}}+\frac{7854}{\left(3 x +2\right)^{2}}+\frac{128634}{3 x +2}-\frac{6655}{2 \left(5 x +3\right)^{2}}+\frac{103455}{5 x +3}"," ",0,"343/12/(3*x+2)^4+539/(3*x+2)^3+7854/(3*x+2)^2+128634/(3*x+2)-6655/2/(5*x+3)^2+103455/(5*x+3)-953535*ln(3*x+2)+953535*ln(5*x+3)","A"
1431,1,81,80,0.011000," ","int((1-2*x)^3/(3*x+2)^6/(5*x+3)^3,x)","-6618975 \ln \left(3 x +2\right)+6618975 \ln \left(5 x +3\right)+\frac{343}{15 \left(3 x +2\right)^{5}}+\frac{1617}{4 \left(3 x +2\right)^{4}}+\frac{5236}{\left(3 x +2\right)^{3}}+\frac{64317}{\left(3 x +2\right)^{2}}+\frac{953535}{3 x +2}-\frac{33275}{2 \left(5 x +3\right)^{2}}+\frac{617100}{5 x +3}"," ",0,"343/15/(3*x+2)^5+1617/4/(3*x+2)^4+5236/(3*x+2)^3+64317/(3*x+2)^2+953535/(3*x+2)-33275/2/(5*x+3)^2+617100/(5*x+3)-6618975*ln(3*x+2)+6618975*ln(5*x+3)","A"
1432,1,90,89,0.011000," ","int((1-2*x)^3/(3*x+2)^7/(5*x+3)^3,x)","-43848750 \ln \left(3 x +2\right)+43848750 \ln \left(5 x +3\right)+\frac{343}{18 \left(3 x +2\right)^{6}}+\frac{1617}{5 \left(3 x +2\right)^{5}}+\frac{3927}{\left(3 x +2\right)^{4}}+\frac{42878}{\left(3 x +2\right)^{3}}+\frac{953535}{2 \left(3 x +2\right)^{2}}+\frac{6618975}{3 x +2}-\frac{166375}{2 \left(5 x +3\right)^{2}}+\frac{3584625}{5 x +3}"," ",0,"343/18/(3*x+2)^6+1617/5/(3*x+2)^5+3927/(3*x+2)^4+42878/(3*x+2)^3+953535/2/(3*x+2)^2+6618975/(3*x+2)-166375/2/(5*x+3)^2+3584625/(5*x+3)-43848750*ln(3*x+2)+43848750*ln(5*x+3)","A"
1433,1,99,98,0.011000," ","int((1-2*x)^3/(3*x+2)^8/(5*x+3)^3,x)","-280500000 \ln \left(3 x +2\right)+280500000 \ln \left(5 x +3\right)+\frac{49}{3 \left(3 x +2\right)^{7}}+\frac{539}{2 \left(3 x +2\right)^{6}}+\frac{15708}{5 \left(3 x +2\right)^{5}}+\frac{64317}{2 \left(3 x +2\right)^{4}}+\frac{317845}{\left(3 x +2\right)^{3}}+\frac{6618975}{2 \left(3 x +2\right)^{2}}+\frac{43848750}{3 x +2}-\frac{831875}{2 \left(5 x +3\right)^{2}}+\frac{20418750}{5 x +3}"," ",0,"49/3/(3*x+2)^7+539/2/(3*x+2)^6+15708/5/(3*x+2)^5+64317/2/(3*x+2)^4+317845/(3*x+2)^3+6618975/2/(3*x+2)^2+43848750/(3*x+2)-831875/2/(5*x+3)^2+20418750/(5*x+3)-280500000*ln(3*x+2)+280500000*ln(5*x+3)","A"
1434,1,53,52,0.003000," ","int((3*x+2)^8*(5*x+3)/(1-2*x),x)","-\frac{3645 x^{9}}{2}-\frac{422091 x^{8}}{32}-\frac{353565 x^{7}}{8}-\frac{2929689 x^{6}}{32}-\frac{21272139 x^{5}}{160}-\frac{37722699 x^{4}}{256}-\frac{17391129 x^{3}}{128}-\frac{60332619 x^{2}}{512}-\frac{63019595 x}{512}-\frac{63412811 \ln \left(2 x -1\right)}{1024}"," ",0,"-3645/2*x^9-422091/32*x^8-353565/8*x^7-2929689/32*x^6-21272139/160*x^5-37722699/256*x^4-17391129/128*x^3-60332619/512*x^2-63019595/512*x-63412811/1024*ln(2*x-1)","A"
1435,1,48,47,0.002000," ","int((3*x+2)^7*(5*x+3)/(1-2*x),x)","-\frac{10935 x^{8}}{16}-\frac{126117 x^{7}}{28}-\frac{218943 x^{6}}{16}-\frac{2053917 x^{5}}{80}-\frac{4352157 x^{4}}{128}-\frac{2257119 x^{3}}{64}-\frac{8362653 x^{2}}{256}-\frac{8960669 x}{256}-\frac{9058973 \ln \left(2 x -1\right)}{512}"," ",0,"-10935/16*x^8-126117/28*x^7-218943/16*x^6-2053917/80*x^5-4352157/128*x^4-2257119/64*x^3-8362653/256*x^2-8960669/256*x-9058973/512*ln(2*x-1)","A"
1436,1,43,42,0.002000," ","int((3*x+2)^6*(5*x+3)/(1-2*x),x)","-\frac{3645 x^{7}}{14}-\frac{12393 x^{6}}{8}-\frac{169371 x^{5}}{40}-\frac{458811 x^{4}}{64}-\frac{279657 x^{3}}{32}-\frac{1138491 x^{2}}{128}-\frac{1269563 x}{128}-\frac{1294139 \ln \left(2 x -1\right)}{256}"," ",0,"-3645/14*x^7-12393/8*x^6-169371/40*x^5-458811/64*x^4-279657/32*x^3-1138491/128*x^2-1269563/128*x-1294139/256*ln(2*x-1)","A"
1437,1,38,37,0.004000," ","int((3*x+2)^5*(5*x+3)/(1-2*x),x)","-\frac{405 x^{6}}{4}-\frac{10773 x^{5}}{20}-\frac{42093 x^{4}}{32}-\frac{32271 x^{3}}{16}-\frac{150573 x^{2}}{64}-\frac{178733 x}{64}-\frac{184877 \ln \left(2 x -1\right)}{128}"," ",0,"-405/4*x^6-10773/20*x^5-42093/32*x^4-32271/16*x^3-150573/64*x^2-178733/64*x-184877/128*ln(2*x-1)","A"
1438,1,33,32,0.004000," ","int((3*x+2)^4*(5*x+3)/(1-2*x),x)","-\frac{81 x^{5}}{2}-\frac{3051 x^{4}}{16}-\frac{3321 x^{3}}{8}-\frac{18987 x^{2}}{32}-\frac{24875 x}{32}-\frac{26411 \ln \left(2 x -1\right)}{64}"," ",0,"-81/2*x^5-3051/16*x^4-3321/8*x^3-18987/32*x^2-24875/32*x-26411/64*ln(2*x-1)","A"
1439,1,28,27,0.003000," ","int((3*x+2)^3*(5*x+3)/(1-2*x),x)","-\frac{135 x^{4}}{8}-\frac{279 x^{3}}{4}-\frac{2205 x^{2}}{16}-\frac{3389 x}{16}-\frac{3773 \ln \left(2 x -1\right)}{32}"," ",0,"-135/8*x^4-279/4*x^3-2205/16*x^2-3389/16*x-3773/32*ln(2*x-1)","A"
1440,1,23,22,0.002000," ","int((3*x+2)^2*(5*x+3)/(1-2*x),x)","-\frac{15 x^{3}}{2}-\frac{219 x^{2}}{8}-\frac{443 x}{8}-\frac{539 \ln \left(2 x -1\right)}{16}"," ",0,"-15/2*x^3-219/8*x^2-443/8*x-539/16*ln(2*x-1)","A"
1441,1,18,17,0.003000," ","int((3*x+2)*(5*x+3)/(1-2*x),x)","-\frac{15 x^{2}}{4}-\frac{53 x}{4}-\frac{77 \ln \left(2 x -1\right)}{8}"," ",0,"-15/4*x^2-53/4*x-77/8*ln(2*x-1)","A"
1442,1,13,12,0.002000," ","int((5*x+3)/(1-2*x),x)","-\frac{5 x}{2}-\frac{11 \ln \left(2 x -1\right)}{4}"," ",0,"-5/2*x-11/4*ln(2*x-1)","A"
1443,1,18,17,0.005000," ","int((5*x+3)/(1-2*x)/(3*x+2),x)","-\frac{11 \ln \left(2 x -1\right)}{14}-\frac{\ln \left(3 x +2\right)}{21}"," ",0,"-1/21*ln(3*x+2)-11/14*ln(2*x-1)","A"
1444,1,27,26,0.007000," ","int((5*x+3)/(1-2*x)/(3*x+2)^2,x)","-\frac{11 \ln \left(2 x -1\right)}{49}+\frac{11 \ln \left(3 x +2\right)}{49}+\frac{1}{63 x +42}"," ",0,"1/21/(3*x+2)+11/49*ln(3*x+2)-11/49*ln(2*x-1)","A"
1445,1,36,35,0.005000," ","int((5*x+3)/(1-2*x)/(3*x+2)^3,x)","-\frac{22 \ln \left(2 x -1\right)}{343}+\frac{22 \ln \left(3 x +2\right)}{343}+\frac{1}{42 \left(3 x +2\right)^{2}}-\frac{11}{49 \left(3 x +2\right)}"," ",0,"1/42/(3*x+2)^2-11/49/(3*x+2)+22/343*ln(3*x+2)-22/343*ln(2*x-1)","A"
1446,1,45,44,0.008000," ","int((5*x+3)/(1-2*x)/(3*x+2)^4,x)","-\frac{44 \ln \left(2 x -1\right)}{2401}+\frac{44 \ln \left(3 x +2\right)}{2401}+\frac{1}{63 \left(3 x +2\right)^{3}}-\frac{11}{98 \left(3 x +2\right)^{2}}-\frac{22}{343 \left(3 x +2\right)}"," ",0,"1/63/(3*x+2)^3-11/98/(3*x+2)^2-22/343/(3*x+2)+44/2401*ln(3*x+2)-44/2401*ln(2*x-1)","A"
1447,1,54,53,0.007000," ","int((5*x+3)/(1-2*x)/(3*x+2)^5,x)","-\frac{88 \ln \left(2 x -1\right)}{16807}+\frac{88 \ln \left(3 x +2\right)}{16807}+\frac{1}{84 \left(3 x +2\right)^{4}}-\frac{11}{147 \left(3 x +2\right)^{3}}-\frac{11}{343 \left(3 x +2\right)^{2}}-\frac{44}{2401 \left(3 x +2\right)}"," ",0,"1/84/(3*x+2)^4-11/147/(3*x+2)^3-11/343/(3*x+2)^2-44/2401/(3*x+2)+88/16807*ln(3*x+2)-88/16807*ln(2*x-1)","A"
1448,1,63,62,0.008000," ","int((5*x+3)/(1-2*x)/(3*x+2)^6,x)","-\frac{176 \ln \left(2 x -1\right)}{117649}+\frac{176 \ln \left(3 x +2\right)}{117649}+\frac{1}{105 \left(3 x +2\right)^{5}}-\frac{11}{196 \left(3 x +2\right)^{4}}-\frac{22}{1029 \left(3 x +2\right)^{3}}-\frac{22}{2401 \left(3 x +2\right)^{2}}-\frac{88}{16807 \left(3 x +2\right)}"," ",0,"1/105/(3*x+2)^5-11/196/(3*x+2)^4-22/1029/(3*x+2)^3-22/2401/(3*x+2)^2-88/16807/(3*x+2)+176/117649*ln(3*x+2)-176/117649*ln(2*x-1)","A"
1449,1,72,71,0.009000," ","int((5*x+3)/(1-2*x)/(3*x+2)^7,x)","-\frac{352 \ln \left(2 x -1\right)}{823543}+\frac{352 \ln \left(3 x +2\right)}{823543}+\frac{1}{126 \left(3 x +2\right)^{6}}-\frac{11}{245 \left(3 x +2\right)^{5}}-\frac{11}{686 \left(3 x +2\right)^{4}}-\frac{44}{7203 \left(3 x +2\right)^{3}}-\frac{44}{16807 \left(3 x +2\right)^{2}}-\frac{176}{117649 \left(3 x +2\right)}"," ",0,"1/126/(3*x+2)^6-11/245/(3*x+2)^5-11/686/(3*x+2)^4-44/7203/(3*x+2)^3-44/16807/(3*x+2)^2-176/117649/(3*x+2)+352/823543*ln(3*x+2)-352/823543*ln(2*x-1)","A"
1450,1,81,80,0.010000," ","int((5*x+3)/(1-2*x)/(3*x+2)^8,x)","-\frac{704 \ln \left(2 x -1\right)}{5764801}+\frac{704 \ln \left(3 x +2\right)}{5764801}+\frac{1}{147 \left(3 x +2\right)^{7}}-\frac{11}{294 \left(3 x +2\right)^{6}}-\frac{22}{1715 \left(3 x +2\right)^{5}}-\frac{11}{2401 \left(3 x +2\right)^{4}}-\frac{88}{50421 \left(3 x +2\right)^{3}}-\frac{88}{117649 \left(3 x +2\right)^{2}}-\frac{352}{823543 \left(3 x +2\right)}"," ",0,"1/147/(3*x+2)^7-11/294/(3*x+2)^6-22/1715/(3*x+2)^5-11/2401/(3*x+2)^4-88/50421/(3*x+2)^3-88/117649/(3*x+2)^2-352/823543/(3*x+2)+704/5764801*ln(3*x+2)-704/5764801*ln(2*x-1)","A"
1451,1,58,57,0.003000," ","int((3*x+2)^8*(5*x+3)^2/(1-2*x),x)","-\frac{32805 x^{10}}{4}-\frac{256365 x^{9}}{4}-\frac{14907321 x^{8}}{64}-\frac{8399295 x^{7}}{16}-\frac{53031699 x^{6}}{64}-\frac{316246329 x^{5}}{320}-\frac{487203129 x^{4}}{512}-\frac{204901139 x^{3}}{256}-\frac{677093689 x^{2}}{1024}-\frac{695181625 x}{1024}-\frac{697540921 \ln \left(2 x -1\right)}{2048}"," ",0,"-32805/4*x^10-256365/4*x^9-14907321/64*x^8-8399295/16*x^7-53031699/64*x^6-316246329/320*x^5-487203129/512*x^4-204901139/256*x^3-677093689/1024*x^2-695181625/1024*x-697540921/2048*ln(2*x-1)","A"
1452,1,53,52,0.003000," ","int((3*x+2)^7*(5*x+3)^2/(1-2*x),x)","-\frac{6075 x^{9}}{2}-\frac{696195 x^{8}}{32}-\frac{4040847 x^{7}}{56}-\frac{4736853 x^{6}}{32}-\frac{34084287 x^{5}}{160}-\frac{59969727 x^{4}}{256}-\frac{27480469 x^{3}}{128}-\frac{94979263 x^{2}}{512}-\frac{99058879 x}{512}-\frac{99648703 \ln \left(2 x -1\right)}{1024}"," ",0,"-6075/2*x^9-696195/32*x^8-4040847/56*x^7-4736853/32*x^6-34084287/160*x^5-59969727/256*x^4-27480469/128*x^3-94979263/512*x^2-99058879/512*x-99648703/1024*ln(2*x-1)","A"
1453,1,48,47,0.003000," ","int((3*x+2)^6*(5*x+3)^2/(1-2*x),x)","-\frac{18225 x^{8}}{16}-\frac{207765 x^{7}}{28}-\frac{356643 x^{6}}{16}-\frac{3310281 x^{5}}{80}-\frac{6947721 x^{4}}{128}-\frac{3575427 x^{3}}{64}-\frac{13178761 x^{2}}{256}-\frac{14088073 x}{256}-\frac{14235529 \ln \left(2 x -1\right)}{512}"," ",0,"-18225/16*x^8-207765/28*x^7-356643/16*x^6-3310281/80*x^5-6947721/128*x^4-3575427/64*x^3-13178761/256*x^2-14088073/256*x-14235529/512*ln(2*x-1)","A"
1454,1,43,42,0.004000," ","int((3*x+2)^5*(5*x+3)^2/(1-2*x),x)","-\frac{6075 x^{7}}{14}-\frac{20385 x^{6}}{8}-\frac{275103 x^{5}}{40}-\frac{736623 x^{4}}{64}-\frac{444581 x^{3}}{32}-\frac{1797103 x^{2}}{128}-\frac{1996783 x}{128}-\frac{2033647 \ln \left(2 x -1\right)}{256}"," ",0,"-6075/14*x^7-20385/8*x^6-275103/40*x^5-736623/64*x^4-444581/32*x^3-1797103/128*x^2-1996783/128*x-2033647/256*ln(2*x-1)","A"
1455,1,38,37,0.003000," ","int((3*x+2)^4*(5*x+3)^2/(1-2*x),x)","-\frac{675 x^{6}}{4}-\frac{3537 x^{5}}{4}-\frac{68121 x^{4}}{32}-\frac{51571 x^{3}}{16}-\frac{238297 x^{2}}{64}-\frac{281305 x}{64}-\frac{290521 \ln \left(2 x -1\right)}{128}"," ",0,"-675/4*x^6-3537/4*x^5-68121/32*x^4-51571/16*x^3-238297/64*x^2-281305/64*x-290521/128*ln(2*x-1)","A"
1456,1,33,32,0.003000," ","int((3*x+2)^3*(5*x+3)^2/(1-2*x),x)","-\frac{135 x^{5}}{2}-\frac{4995 x^{4}}{16}-\frac{5349 x^{3}}{8}-\frac{30175 x^{2}}{32}-\frac{39199 x}{32}-\frac{41503 \ln \left(2 x -1\right)}{64}"," ",0,"-135/2*x^5-4995/16*x^4-5349/8*x^3-30175/32*x^2-39199/32*x-41503/64*ln(2*x-1)","A"
1457,1,28,27,0.002000," ","int((3*x+2)^2*(5*x+3)^2/(1-2*x),x)","-\frac{225 x^{4}}{8}-\frac{455 x^{3}}{4}-\frac{3529 x^{2}}{16}-\frac{5353 x}{16}-\frac{5929 \ln \left(2 x -1\right)}{32}"," ",0,"-225/8*x^4-455/4*x^3-3529/16*x^2-5353/16*x-5929/32*ln(2*x-1)","A"
1458,1,23,22,0.002000," ","int((3*x+2)*(5*x+3)^2/(1-2*x),x)","-\frac{25 x^{3}}{2}-\frac{355 x^{2}}{8}-\frac{703 x}{8}-\frac{847 \ln \left(2 x -1\right)}{16}"," ",0,"-25/2*x^3-355/8*x^2-703/8*x-847/16*ln(2*x-1)","A"
1459,1,18,17,0.003000," ","int((5*x+3)^2/(1-2*x),x)","-\frac{25 x^{2}}{4}-\frac{85 x}{4}-\frac{121 \ln \left(2 x -1\right)}{8}"," ",0,"-25/4*x^2-85/4*x-121/8*ln(2*x-1)","A"
1460,1,21,20,0.006000," ","int((5*x+3)^2/(1-2*x)/(3*x+2),x)","-\frac{25 x}{6}-\frac{121 \ln \left(2 x -1\right)}{28}+\frac{\ln \left(3 x +2\right)}{63}"," ",0,"-25/6*x+1/63*ln(3*x+2)-121/28*ln(2*x-1)","A"
1461,1,27,26,0.008000," ","int((5*x+3)^2/(1-2*x)/(3*x+2)^2,x)","-\frac{121 \ln \left(2 x -1\right)}{98}-\frac{68 \ln \left(3 x +2\right)}{441}-\frac{1}{63 \left(3 x +2\right)}"," ",0,"-1/63/(3*x+2)-68/441*ln(3*x+2)-121/98*ln(2*x-1)","A"
1462,1,36,35,0.008000," ","int((5*x+3)^2/(1-2*x)/(3*x+2)^3,x)","-\frac{121 \ln \left(2 x -1\right)}{343}+\frac{121 \ln \left(3 x +2\right)}{343}-\frac{1}{126 \left(3 x +2\right)^{2}}+\frac{68}{441 \left(3 x +2\right)}"," ",0,"-1/126/(3*x+2)^2+68/441/(3*x+2)+121/343*ln(3*x+2)-121/343*ln(2*x-1)","A"
1463,1,45,44,0.007000," ","int((5*x+3)^2/(1-2*x)/(3*x+2)^4,x)","-\frac{242 \ln \left(2 x -1\right)}{2401}+\frac{242 \ln \left(3 x +2\right)}{2401}-\frac{1}{189 \left(3 x +2\right)^{3}}+\frac{34}{441 \left(3 x +2\right)^{2}}-\frac{121}{343 \left(3 x +2\right)}"," ",0,"-1/189/(3*x+2)^3+34/441/(3*x+2)^2-121/343/(3*x+2)+242/2401*ln(3*x+2)-242/2401*ln(2*x-1)","A"
1464,1,54,53,0.009000," ","int((5*x+3)^2/(1-2*x)/(3*x+2)^5,x)","-\frac{484 \ln \left(2 x -1\right)}{16807}+\frac{484 \ln \left(3 x +2\right)}{16807}-\frac{1}{252 \left(3 x +2\right)^{4}}+\frac{68}{1323 \left(3 x +2\right)^{3}}-\frac{121}{686 \left(3 x +2\right)^{2}}-\frac{242}{2401 \left(3 x +2\right)}"," ",0,"-1/252/(3*x+2)^4+68/1323/(3*x+2)^3-121/686/(3*x+2)^2-242/2401/(3*x+2)+484/16807*ln(3*x+2)-484/16807*ln(2*x-1)","A"
1465,1,63,62,0.008000," ","int((5*x+3)^2/(1-2*x)/(3*x+2)^6,x)","-\frac{968 \ln \left(2 x -1\right)}{117649}+\frac{968 \ln \left(3 x +2\right)}{117649}-\frac{1}{315 \left(3 x +2\right)^{5}}+\frac{17}{441 \left(3 x +2\right)^{4}}-\frac{121}{1029 \left(3 x +2\right)^{3}}-\frac{121}{2401 \left(3 x +2\right)^{2}}-\frac{484}{16807 \left(3 x +2\right)}"," ",0,"-1/315/(3*x+2)^5+17/441/(3*x+2)^4-121/1029/(3*x+2)^3-121/2401/(3*x+2)^2-484/16807/(3*x+2)+968/117649*ln(3*x+2)-968/117649*ln(2*x-1)","A"
1466,1,72,71,0.008000," ","int((5*x+3)^2/(1-2*x)/(3*x+2)^7,x)","-\frac{1936 \ln \left(2 x -1\right)}{823543}+\frac{1936 \ln \left(3 x +2\right)}{823543}-\frac{1}{378 \left(3 x +2\right)^{6}}+\frac{68}{2205 \left(3 x +2\right)^{5}}-\frac{121}{1372 \left(3 x +2\right)^{4}}-\frac{242}{7203 \left(3 x +2\right)^{3}}-\frac{242}{16807 \left(3 x +2\right)^{2}}-\frac{968}{117649 \left(3 x +2\right)}"," ",0,"-1/378/(3*x+2)^6+68/2205/(3*x+2)^5-121/1372/(3*x+2)^4-242/7203/(3*x+2)^3-242/16807/(3*x+2)^2-968/117649/(3*x+2)+1936/823543*ln(3*x+2)-1936/823543*ln(2*x-1)","A"
1467,1,81,80,0.010000," ","int((5*x+3)^2/(1-2*x)/(3*x+2)^8,x)","-\frac{3872 \ln \left(2 x -1\right)}{5764801}+\frac{3872 \ln \left(3 x +2\right)}{5764801}-\frac{1}{441 \left(3 x +2\right)^{7}}+\frac{34}{1323 \left(3 x +2\right)^{6}}-\frac{121}{1715 \left(3 x +2\right)^{5}}-\frac{121}{4802 \left(3 x +2\right)^{4}}-\frac{484}{50421 \left(3 x +2\right)^{3}}-\frac{484}{117649 \left(3 x +2\right)^{2}}-\frac{1936}{823543 \left(3 x +2\right)}"," ",0,"-1/441/(3*x+2)^7+34/1323/(3*x+2)^6-121/1715/(3*x+2)^5-121/4802/(3*x+2)^4-484/50421/(3*x+2)^3-484/117649/(3*x+2)^2-1936/823543/(3*x+2)+3872/5764801*ln(3*x+2)-3872/5764801*ln(2*x-1)","A"
1468,1,58,57,0.003000," ","int((3*x+2)^7*(5*x+3)^3/(1-2*x),x)","-\frac{54675 x^{10}}{4}-\frac{423225 x^{9}}{4}-\frac{24381405 x^{8}}{64}-\frac{95297877 x^{7}}{112}-\frac{85228263 x^{6}}{64}-\frac{504354357 x^{5}}{320}-\frac{772025397 x^{4}}{512}-\frac{969544757 x^{3}}{768}-\frac{1065169973 x^{2}}{1024}-\frac{1092596789 x}{1024}-\frac{1096135733 \ln \left(2 x -1\right)}{2048}"," ",0,"-54675/4*x^10-423225/4*x^9-24381405/64*x^8-95297877/112*x^7-85228263/64*x^6-504354357/320*x^5-772025397/512*x^4-969544757/768*x^3-1065169973/1024*x^2-1092596789/1024*x-1096135733/2048*ln(2*x-1)","A"
1469,1,53,52,0.004000," ","int((3*x+2)^6*(5*x+3)^3/(1-2*x),x)","-\frac{10125 x^{9}}{2}-\frac{1148175 x^{8}}{32}-\frac{6596235 x^{7}}{56}-\frac{7656993 x^{6}}{32}-\frac{54600291 x^{5}}{160}-\frac{95317731 x^{4}}{256}-\frac{130251491 x^{3}}{384}-\frac{149512931 x^{2}}{512}-\frac{155706083 x}{512}-\frac{156590819 \ln \left(2 x -1\right)}{1024}"," ",0,"-10125/2*x^9-1148175/32*x^8-6596235/56*x^7-7656993/32*x^6-54600291/160*x^5-95317731/256*x^4-130251491/384*x^3-149512931/512*x^2-155706083/512*x-156590819/1024*ln(2*x-1)","A"
1470,1,48,47,0.003000," ","int((3*x+2)^5*(5*x+3)^3/(1-2*x),x)","-\frac{30375 x^{8}}{16}-\frac{342225 x^{7}}{28}-\frac{580815 x^{6}}{16}-\frac{5333733 x^{5}}{80}-\frac{11088453 x^{4}}{128}-\frac{16987973 x^{3}}{192}-\frac{20766533 x^{2}}{256}-\frac{22148933 x}{256}-\frac{22370117 \ln \left(2 x -1\right)}{512}"," ",0,"-30375/16*x^8-342225/28*x^7-580815/16*x^6-5333733/80*x^5-11088453/128*x^4-16987973/192*x^3-20766533/256*x^2-22148933/256*x-22370117/512*ln(2*x-1)","A"
1471,1,43,42,0.005000," ","int((3*x+2)^4*(5*x+3)^3/(1-2*x),x)","-\frac{10125 x^{7}}{14}-\frac{33525 x^{6}}{8}-\frac{89343 x^{5}}{8}-\frac{1182291 x^{4}}{64}-\frac{2119763 x^{3}}{96}-\frac{2836307 x^{2}}{128}-\frac{3140435 x}{128}-\frac{3195731 \ln \left(2 x -1\right)}{256}"," ",0,"-10125/14*x^7-33525/8*x^6-89343/8*x^5-1182291/64*x^4-2119763/96*x^3-2836307/128*x^2-3140435/128*x-3195731/256*ln(2*x-1)","A"
1472,1,38,37,0.003000," ","int((3*x+2)^3*(5*x+3)^3/(1-2*x),x)","-\frac{1125 x^{6}}{4}-\frac{5805 x^{5}}{4}-\frac{110205 x^{4}}{32}-\frac{247157 x^{3}}{48}-\frac{377045 x^{2}}{64}-\frac{442709 x}{64}-\frac{456533 \ln \left(2 x -1\right)}{128}"," ",0,"-1125/4*x^6-5805/4*x^5-110205/32*x^4-247157/48*x^3-377045/64*x^2-442709/64*x-456533/128*ln(2*x-1)","A"
1473,1,33,32,0.003000," ","int((3*x+2)^2*(5*x+3)^3/(1-2*x),x)","-\frac{225 x^{5}}{2}-\frac{8175 x^{4}}{16}-\frac{25835 x^{3}}{24}-\frac{47939 x^{2}}{32}-\frac{61763 x}{32}-\frac{65219 \ln \left(2 x -1\right)}{64}"," ",0,"-225/2*x^5-8175/16*x^4-25835/24*x^3-47939/32*x^2-61763/32*x-65219/64*ln(2*x-1)","A"
1474,1,28,27,0.004000," ","int((3*x+2)*(5*x+3)^3/(1-2*x),x)","-\frac{375 x^{4}}{8}-\frac{2225 x^{3}}{12}-\frac{5645 x^{2}}{16}-\frac{8453 x}{16}-\frac{9317 \ln \left(2 x -1\right)}{32}"," ",0,"-375/8*x^4-2225/12*x^3-5645/16*x^2-8453/16*x-9317/32*ln(2*x-1)","A"
1475,1,23,22,0.001000," ","int((5*x+3)^3/(1-2*x),x)","-\frac{125 x^{3}}{6}-\frac{575 x^{2}}{8}-\frac{1115 x}{8}-\frac{1331 \ln \left(2 x -1\right)}{16}"," ",0,"-125/6*x^3-575/8*x^2-1115/8*x-1331/16*ln(2*x-1)","A"
1476,1,26,25,0.006000," ","int((5*x+3)^3/(1-2*x)/(3*x+2),x)","-\frac{125 x^{2}}{12}-\frac{1225 x}{36}-\frac{1331 \ln \left(2 x -1\right)}{56}-\frac{\ln \left(3 x +2\right)}{189}"," ",0,"-125/12*x^2-1225/36*x-1/189*ln(3*x+2)-1331/56*ln(2*x-1)","A"
1477,1,30,29,0.009000," ","int((5*x+3)^3/(1-2*x)/(3*x+2)^2,x)","-\frac{125 x}{18}-\frac{1331 \ln \left(2 x -1\right)}{196}+\frac{103 \ln \left(3 x +2\right)}{1323}+\frac{1}{567 x +378}"," ",0,"-125/18*x+1/189/(3*x+2)+103/1323*ln(3*x+2)-1331/196*ln(2*x-1)","A"
1478,1,36,35,0.007000," ","int((5*x+3)^3/(1-2*x)/(3*x+2)^3,x)","-\frac{1331 \ln \left(2 x -1\right)}{686}-\frac{3469 \ln \left(3 x +2\right)}{9261}+\frac{1}{378 \left(3 x +2\right)^{2}}-\frac{103}{1323 \left(3 x +2\right)}"," ",0,"1/378/(3*x+2)^2-103/1323/(3*x+2)-3469/9261*ln(3*x+2)-1331/686*ln(2*x-1)","A"
1479,1,45,44,0.009000," ","int((5*x+3)^3/(1-2*x)/(3*x+2)^4,x)","-\frac{1331 \ln \left(2 x -1\right)}{2401}+\frac{1331 \ln \left(3 x +2\right)}{2401}+\frac{1}{567 \left(3 x +2\right)^{3}}-\frac{103}{2646 \left(3 x +2\right)^{2}}+\frac{3469}{9261 \left(3 x +2\right)}"," ",0,"1/567/(3*x+2)^3-103/2646/(3*x+2)^2+3469/9261/(3*x+2)+1331/2401*ln(3*x+2)-1331/2401*ln(2*x-1)","A"
1480,1,54,53,0.008000," ","int((5*x+3)^3/(1-2*x)/(3*x+2)^5,x)","-\frac{2662 \ln \left(2 x -1\right)}{16807}+\frac{2662 \ln \left(3 x +2\right)}{16807}+\frac{1}{756 \left(3 x +2\right)^{4}}-\frac{103}{3969 \left(3 x +2\right)^{3}}+\frac{3469}{18522 \left(3 x +2\right)^{2}}-\frac{1331}{2401 \left(3 x +2\right)}"," ",0,"1/756/(3*x+2)^4-103/3969/(3*x+2)^3+3469/18522/(3*x+2)^2-1331/2401/(3*x+2)+2662/16807*ln(3*x+2)-2662/16807*ln(2*x-1)","A"
1481,1,63,62,0.007000," ","int((5*x+3)^3/(1-2*x)/(3*x+2)^6,x)","-\frac{5324 \ln \left(2 x -1\right)}{117649}+\frac{5324 \ln \left(3 x +2\right)}{117649}+\frac{1}{945 \left(3 x +2\right)^{5}}-\frac{103}{5292 \left(3 x +2\right)^{4}}+\frac{3469}{27783 \left(3 x +2\right)^{3}}-\frac{1331}{4802 \left(3 x +2\right)^{2}}-\frac{2662}{16807 \left(3 x +2\right)}"," ",0,"1/945/(3*x+2)^5-103/5292/(3*x+2)^4+3469/27783/(3*x+2)^3-1331/4802/(3*x+2)^2-2662/16807/(3*x+2)+5324/117649*ln(3*x+2)-5324/117649*ln(2*x-1)","A"
1482,1,72,71,0.008000," ","int((5*x+3)^3/(1-2*x)/(3*x+2)^7,x)","-\frac{10648 \ln \left(2 x -1\right)}{823543}+\frac{10648 \ln \left(3 x +2\right)}{823543}+\frac{1}{1134 \left(3 x +2\right)^{6}}-\frac{103}{6615 \left(3 x +2\right)^{5}}+\frac{3469}{37044 \left(3 x +2\right)^{4}}-\frac{1331}{7203 \left(3 x +2\right)^{3}}-\frac{1331}{16807 \left(3 x +2\right)^{2}}-\frac{5324}{117649 \left(3 x +2\right)}"," ",0,"1/1134/(3*x+2)^6-103/6615/(3*x+2)^5+3469/37044/(3*x+2)^4-1331/7203/(3*x+2)^3-1331/16807/(3*x+2)^2-5324/117649/(3*x+2)+10648/823543*ln(3*x+2)-10648/823543*ln(2*x-1)","A"
1483,1,81,80,0.009000," ","int((5*x+3)^3/(1-2*x)/(3*x+2)^8,x)","-\frac{21296 \ln \left(2 x -1\right)}{5764801}+\frac{21296 \ln \left(3 x +2\right)}{5764801}+\frac{1}{1323 \left(3 x +2\right)^{7}}-\frac{103}{7938 \left(3 x +2\right)^{6}}+\frac{3469}{46305 \left(3 x +2\right)^{5}}-\frac{1331}{9604 \left(3 x +2\right)^{4}}-\frac{2662}{50421 \left(3 x +2\right)^{3}}-\frac{2662}{117649 \left(3 x +2\right)^{2}}-\frac{10648}{823543 \left(3 x +2\right)}"," ",0,"1/1323/(3*x+2)^7-103/7938/(3*x+2)^6+3469/46305/(3*x+2)^5-1331/9604/(3*x+2)^4-2662/50421/(3*x+2)^3-2662/117649/(3*x+2)^2-10648/823543/(3*x+2)+21296/5764801*ln(3*x+2)-21296/5764801*ln(2*x-1)","A"
1484,1,257,102,0.010000," ","int((b*x+a)^3/(d*x+c)/(f*x+e),x)","-\frac{a^{3} \ln \left(d x +c \right)}{c f -d e}+\frac{a^{3} \ln \left(f x +e \right)}{c f -d e}+\frac{3 a^{2} b c \ln \left(d x +c \right)}{\left(c f -d e \right) d}-\frac{3 a^{2} b e \ln \left(f x +e \right)}{\left(c f -d e \right) f}-\frac{3 a \,b^{2} c^{2} \ln \left(d x +c \right)}{\left(c f -d e \right) d^{2}}+\frac{3 a \,b^{2} e^{2} \ln \left(f x +e \right)}{\left(c f -d e \right) f^{2}}+\frac{b^{3} c^{3} \ln \left(d x +c \right)}{\left(c f -d e \right) d^{3}}-\frac{b^{3} e^{3} \ln \left(f x +e \right)}{\left(c f -d e \right) f^{3}}+\frac{b^{3} x^{2}}{2 d f}+\frac{3 a \,b^{2} x}{d f}-\frac{b^{3} c x}{d^{2} f}-\frac{b^{3} e x}{d \,f^{2}}"," ",0,"1/2*b^3*x^2/d/f+3*b^2/d/f*a*x-b^3/d^2/f*c*x-b^3/d/f^2*e*x-1/(c*f-d*e)*ln(d*x+c)*a^3+3/d/(c*f-d*e)*ln(d*x+c)*a^2*b*c-3/d^2/(c*f-d*e)*ln(d*x+c)*a*b^2*c^2+1/d^3/(c*f-d*e)*ln(d*x+c)*b^3*c^3+1/(c*f-d*e)*ln(f*x+e)*a^3-3/f/(c*f-d*e)*ln(f*x+e)*a^2*b*e+3/f^2/(c*f-d*e)*ln(f*x+e)*a*b^2*e^2-1/f^3/(c*f-d*e)*ln(f*x+e)*b^3*e^3","B"
1485,1,51,50,0.004000," ","int((3*x+2)^8/(1-2*x)/(5*x+3),x)","-\frac{6561 x^{7}}{70}-\frac{114453 x^{6}}{200}-\frac{8018271 x^{5}}{5000}-\frac{111146499 x^{4}}{40000}-\frac{345533877 x^{3}}{100000}-\frac{7136193339 x^{2}}{2000000}-\frac{40089855591 x}{10000000}-\frac{5764801 \ln \left(2 x -1\right)}{2816}+\frac{\ln \left(5 x +3\right)}{4296875}"," ",0,"-6561/70*x^7-114453/200*x^6-8018271/5000*x^5-111146499/40000*x^4-345533877/100000*x^3-7136193339/2000000*x^2-40089855591/10000000*x+1/4296875*ln(5*x+3)-5764801/2816*ln(2*x-1)","A"
1486,1,46,45,0.007000," ","int((3*x+2)^7/(1-2*x)/(5*x+3),x)","-\frac{729 x^{6}}{20}-\frac{99873 x^{5}}{500}-\frac{2006937 x^{4}}{4000}-\frac{7889751 x^{3}}{10000}-\frac{187738857 x^{2}}{200000}-\frac{1127138733 x}{1000000}-\frac{823543 \ln \left(2 x -1\right)}{1408}+\frac{\ln \left(5 x +3\right)}{859375}"," ",0,"-729/20*x^6-99873/500*x^5-2006937/4000*x^4-7889751/10000*x^3-187738857/200000*x^2-1127138733/1000000*x+1/859375*ln(5*x+3)-823543/1408*ln(2*x-1)","A"
1487,1,41,40,0.006000," ","int((3*x+2)^6/(1-2*x)/(5*x+3),x)","-\frac{729 x^{5}}{50}-\frac{28431 x^{4}}{400}-\frac{159813 x^{3}}{1000}-\frac{4693491 x^{2}}{20000}-\frac{31289679 x}{100000}-\frac{117649 \ln \left(2 x -1\right)}{704}+\frac{\ln \left(5 x +3\right)}{171875}"," ",0,"-729/50*x^5-28431/400*x^4-159813/1000*x^3-4693491/20000*x^2-31289679/100000*x+1/171875*ln(5*x+3)-117649/704*ln(2*x-1)","A"
1488,1,36,35,0.005000," ","int((3*x+2)^5/(1-2*x)/(5*x+3),x)","-\frac{243 x^{4}}{40}-\frac{2619 x^{3}}{100}-\frac{107433 x^{2}}{2000}-\frac{848277 x}{10000}-\frac{16807 \ln \left(2 x -1\right)}{352}+\frac{\ln \left(5 x +3\right)}{34375}"," ",0,"-243/40*x^4-2619/100*x^3-107433/2000*x^2-848277/10000*x+1/34375*ln(5*x+3)-16807/352*ln(2*x-1)","A"
1489,1,31,30,0.006000," ","int((3*x+2)^4/(1-2*x)/(5*x+3),x)","-\frac{27 x^{3}}{10}-\frac{2079 x^{2}}{200}-\frac{21951 x}{1000}-\frac{2401 \ln \left(2 x -1\right)}{176}+\frac{\ln \left(5 x +3\right)}{6875}"," ",0,"-27/10*x^3-2079/200*x^2-21951/1000*x+1/6875*ln(5*x+3)-2401/176*ln(2*x-1)","A"
1490,1,26,25,0.006000," ","int((3*x+2)^3/(1-2*x)/(5*x+3),x)","-\frac{27 x^{2}}{20}-\frac{513 x}{100}-\frac{343 \ln \left(2 x -1\right)}{88}+\frac{\ln \left(5 x +3\right)}{1375}"," ",0,"-27/20*x^2-513/100*x+1/1375*ln(5*x+3)-343/88*ln(2*x-1)","A"
1491,1,21,20,0.006000," ","int((3*x+2)^2/(1-2*x)/(5*x+3),x)","-\frac{9 x}{10}-\frac{49 \ln \left(2 x -1\right)}{44}+\frac{\ln \left(5 x +3\right)}{275}"," ",0,"-9/10*x+1/275*ln(5*x+3)-49/44*ln(2*x-1)","A"
1492,1,18,17,0.006000," ","int((3*x+2)/(1-2*x)/(5*x+3),x)","-\frac{7 \ln \left(2 x -1\right)}{22}+\frac{\ln \left(5 x +3\right)}{55}"," ",0,"1/55*ln(5*x+3)-7/22*ln(2*x-1)","A"
1493,1,18,17,0.004000," ","int(1/(1-2*x)/(5*x+3),x)","-\frac{\ln \left(2 x -1\right)}{11}+\frac{\ln \left(5 x +3\right)}{11}"," ",0,"1/11*ln(5*x+3)-1/11*ln(2*x-1)","A"
1494,1,26,25,0.007000," ","int(1/(1-2*x)/(3*x+2)/(5*x+3),x)","-\frac{2 \ln \left(2 x -1\right)}{77}-\frac{3 \ln \left(3 x +2\right)}{7}+\frac{5 \ln \left(5 x +3\right)}{11}"," ",0,"5/11*ln(5*x+3)-3/7*ln(3*x+2)-2/77*ln(2*x-1)","A"
1495,1,35,34,0.008000," ","int(1/(1-2*x)/(3*x+2)^2/(5*x+3),x)","-\frac{4 \ln \left(2 x -1\right)}{539}-\frac{111 \ln \left(3 x +2\right)}{49}+\frac{25 \ln \left(5 x +3\right)}{11}+\frac{3}{7 \left(3 x +2\right)}"," ",0,"25/11*ln(5*x+3)+3/7/(3*x+2)-111/49*ln(3*x+2)-4/539*ln(2*x-1)","A"
1496,1,44,43,0.010000," ","int(1/(1-2*x)/(3*x+2)^3/(5*x+3),x)","-\frac{8 \ln \left(2 x -1\right)}{3773}-\frac{3897 \ln \left(3 x +2\right)}{343}+\frac{125 \ln \left(5 x +3\right)}{11}+\frac{3}{14 \left(3 x +2\right)^{2}}+\frac{111}{49 \left(3 x +2\right)}"," ",0,"125/11*ln(5*x+3)+3/14/(3*x+2)^2+111/49/(3*x+2)-3897/343*ln(3*x+2)-8/3773*ln(2*x-1)","A"
1497,1,53,52,0.009000," ","int(1/(1-2*x)/(3*x+2)^4/(5*x+3),x)","-\frac{16 \ln \left(2 x -1\right)}{26411}-\frac{136419 \ln \left(3 x +2\right)}{2401}+\frac{625 \ln \left(5 x +3\right)}{11}+\frac{1}{7 \left(3 x +2\right)^{3}}+\frac{111}{98 \left(3 x +2\right)^{2}}+\frac{3897}{343 \left(3 x +2\right)}"," ",0,"625/11*ln(5*x+3)+1/7/(3*x+2)^3+111/98/(3*x+2)^2+3897/343/(3*x+2)-136419/2401*ln(3*x+2)-16/26411*ln(2*x-1)","A"
1498,1,62,61,0.010000," ","int(1/(1-2*x)/(3*x+2)^5/(5*x+3),x)","-\frac{32 \ln \left(2 x -1\right)}{184877}-\frac{4774713 \ln \left(3 x +2\right)}{16807}+\frac{3125 \ln \left(5 x +3\right)}{11}+\frac{3}{28 \left(3 x +2\right)^{4}}+\frac{37}{49 \left(3 x +2\right)^{3}}+\frac{3897}{686 \left(3 x +2\right)^{2}}+\frac{136419}{2401 \left(3 x +2\right)}"," ",0,"3125/11*ln(5*x+3)+3/28/(3*x+2)^4+37/49/(3*x+2)^3+3897/686/(3*x+2)^2+136419/2401/(3*x+2)-4774713/16807*ln(3*x+2)-32/184877*ln(2*x-1)","A"
1499,1,71,70,0.010000," ","int(1/(1-2*x)/(3*x+2)^6/(5*x+3),x)","-\frac{64 \ln \left(2 x -1\right)}{1294139}-\frac{167115051 \ln \left(3 x +2\right)}{117649}+\frac{15625 \ln \left(5 x +3\right)}{11}+\frac{3}{35 \left(3 x +2\right)^{5}}+\frac{111}{196 \left(3 x +2\right)^{4}}+\frac{1299}{343 \left(3 x +2\right)^{3}}+\frac{136419}{4802 \left(3 x +2\right)^{2}}+\frac{4774713}{16807 \left(3 x +2\right)}"," ",0,"15625/11*ln(5*x+3)+3/35/(3*x+2)^5+111/196/(3*x+2)^4+1299/343/(3*x+2)^3+136419/4802/(3*x+2)^2+4774713/16807/(3*x+2)-167115051/117649*ln(3*x+2)-64/1294139*ln(2*x-1)","A"
1500,1,80,79,0.012000," ","int(1/(1-2*x)/(3*x+2)^7/(5*x+3),x)","-\frac{128 \ln \left(2 x -1\right)}{9058973}-\frac{5849026977 \ln \left(3 x +2\right)}{823543}+\frac{78125 \ln \left(5 x +3\right)}{11}+\frac{1}{14 \left(3 x +2\right)^{6}}+\frac{111}{245 \left(3 x +2\right)^{5}}+\frac{3897}{1372 \left(3 x +2\right)^{4}}+\frac{45473}{2401 \left(3 x +2\right)^{3}}+\frac{4774713}{33614 \left(3 x +2\right)^{2}}+\frac{167115051}{117649 \left(3 x +2\right)}"," ",0,"78125/11*ln(5*x+3)+1/14/(3*x+2)^6+111/245/(3*x+2)^5+3897/1372/(3*x+2)^4+45473/2401/(3*x+2)^3+4774713/33614/(3*x+2)^2+167115051/117649/(3*x+2)-5849026977/823543*ln(3*x+2)-128/9058973*ln(2*x-1)","A"
1501,1,55,54,0.009000," ","int((3*x+2)^8/(1-2*x)/(5*x+3)^2,x)","-\frac{2187 x^{6}}{100}-\frac{303993 x^{5}}{2500}-\frac{6194313 x^{4}}{20000}-\frac{24660207 x^{3}}{50000}-\frac{118543581 x^{2}}{200000}-\frac{3579885909 x}{5000000}-\frac{5764801 \ln \left(2 x -1\right)}{15488}+\frac{266 \ln \left(5 x +3\right)}{47265625}-\frac{1}{4296875 \left(5 x +3\right)}"," ",0,"-2187/100*x^6-303993/2500*x^5-6194313/20000*x^4-24660207/50000*x^3-118543581/200000*x^2-3579885909/5000000*x-1/4296875/(5*x+3)+266/47265625*ln(5*x+3)-5764801/15488*ln(2*x-1)","A"
1502,1,50,49,0.008000," ","int((3*x+2)^7/(1-2*x)/(5*x+3)^2,x)","-\frac{2187 x^{5}}{250}-\frac{86751 x^{4}}{2000}-\frac{495477 x^{3}}{5000}-\frac{14750667 x^{2}}{100000}-\frac{19846971 x}{100000}-\frac{823543 \ln \left(2 x -1\right)}{7744}+\frac{233 \ln \left(5 x +3\right)}{9453125}-\frac{1}{859375 \left(5 x +3\right)}"," ",0,"-2187/250*x^5-86751/2000*x^4-495477/5000*x^3-14750667/100000*x^2-19846971/100000*x-1/859375/(5*x+3)+233/9453125*ln(5*x+3)-823543/7744*ln(2*x-1)","A"
1503,1,45,44,0.008000," ","int((3*x+2)^6/(1-2*x)/(5*x+3)^2,x)","-\frac{729 x^{4}}{200}-\frac{8019 x^{3}}{500}-\frac{335097 x^{2}}{10000}-\frac{2682909 x}{50000}-\frac{117649 \ln \left(2 x -1\right)}{3872}+\frac{8 \ln \left(5 x +3\right)}{75625}-\frac{1}{171875 \left(5 x +3\right)}"," ",0,"-729/200*x^4-8019/500*x^3-335097/10000*x^2-2682909/50000*x-1/171875/(5*x+3)+8/75625*ln(5*x+3)-117649/3872*ln(2*x-1)","A"
1504,1,40,39,0.009000," ","int((3*x+2)^5/(1-2*x)/(5*x+3)^2,x)","-\frac{81 x^{3}}{50}-\frac{6399 x^{2}}{1000}-\frac{69039 x}{5000}-\frac{16807 \ln \left(2 x -1\right)}{1936}+\frac{167 \ln \left(5 x +3\right)}{378125}-\frac{1}{34375 \left(5 x +3\right)}"," ",0,"-81/50*x^3-6399/1000*x^2-69039/5000*x-1/34375/(5*x+3)+167/378125*ln(5*x+3)-16807/1936*ln(2*x-1)","A"
1505,1,35,34,0.007000," ","int((3*x+2)^4/(1-2*x)/(5*x+3)^2,x)","-\frac{81 x^{2}}{100}-\frac{1593 x}{500}-\frac{2401 \ln \left(2 x -1\right)}{968}+\frac{134 \ln \left(5 x +3\right)}{75625}-\frac{1}{6875 \left(5 x +3\right)}"," ",0,"-81/100*x^2-1593/500*x-1/6875/(5*x+3)+134/75625*ln(5*x+3)-2401/968*ln(2*x-1)","A"
1506,1,30,29,0.009000," ","int((3*x+2)^3/(1-2*x)/(5*x+3)^2,x)","-\frac{27 x}{50}-\frac{343 \ln \left(2 x -1\right)}{484}+\frac{101 \ln \left(5 x +3\right)}{15125}-\frac{1}{1375 \left(5 x +3\right)}"," ",0,"-27/50*x-1/1375/(5*x+3)+101/15125*ln(5*x+3)-343/484*ln(2*x-1)","A"
1507,1,27,26,0.008000," ","int((3*x+2)^2/(1-2*x)/(5*x+3)^2,x)","-\frac{49 \ln \left(2 x -1\right)}{242}+\frac{68 \ln \left(5 x +3\right)}{3025}-\frac{1}{275 \left(5 x +3\right)}"," ",0,"-1/275/(5*x+3)+68/3025*ln(5*x+3)-49/242*ln(2*x-1)","A"
1508,1,27,26,0.009000," ","int((3*x+2)/(1-2*x)/(5*x+3)^2,x)","-\frac{7 \ln \left(2 x -1\right)}{121}+\frac{7 \ln \left(5 x +3\right)}{121}-\frac{1}{55 \left(5 x +3\right)}"," ",0,"-1/55/(5*x+3)+7/121*ln(5*x+3)-7/121*ln(2*x-1)","A"
1509,1,27,26,0.008000," ","int(1/(1-2*x)/(5*x+3)^2,x)","-\frac{2 \ln \left(2 x -1\right)}{121}+\frac{2 \ln \left(5 x +3\right)}{121}-\frac{1}{11 \left(5 x +3\right)}"," ",0,"-1/11/(5*x+3)+2/121*ln(5*x+3)-2/121*ln(2*x-1)","A"
1510,1,35,34,0.008000," ","int(1/(1-2*x)/(3*x+2)/(5*x+3)^2,x)","-\frac{4 \ln \left(2 x -1\right)}{847}+\frac{9 \ln \left(3 x +2\right)}{7}-\frac{155 \ln \left(5 x +3\right)}{121}-\frac{5}{11 \left(5 x +3\right)}"," ",0,"-5/11/(5*x+3)-155/121*ln(5*x+3)+9/7*ln(3*x+2)-4/847*ln(2*x-1)","A"
1511,1,44,43,0.008000," ","int(1/(1-2*x)/(3*x+2)^2/(5*x+3)^2,x)","-\frac{8 \ln \left(2 x -1\right)}{5929}+\frac{648 \ln \left(3 x +2\right)}{49}-\frac{1600 \ln \left(5 x +3\right)}{121}-\frac{25}{11 \left(5 x +3\right)}-\frac{9}{7 \left(3 x +2\right)}"," ",0,"-25/11/(5*x+3)-1600/121*ln(5*x+3)-9/7/(3*x+2)+648/49*ln(3*x+2)-8/5929*ln(2*x-1)","A"
1512,1,53,52,0.011000," ","int(1/(1-2*x)/(3*x+2)^3/(5*x+3)^2,x)","-\frac{16 \ln \left(2 x -1\right)}{41503}+\frac{34371 \ln \left(3 x +2\right)}{343}-\frac{12125 \ln \left(5 x +3\right)}{121}-\frac{125}{11 \left(5 x +3\right)}-\frac{9}{14 \left(3 x +2\right)^{2}}-\frac{648}{49 \left(3 x +2\right)}"," ",0,"-125/11/(5*x+3)-12125/121*ln(5*x+3)-9/14/(3*x+2)^2-648/49/(3*x+2)+34371/343*ln(3*x+2)-16/41503*ln(2*x-1)","A"
1513,1,62,61,0.010000," ","int(1/(1-2*x)/(3*x+2)^4/(5*x+3)^2,x)","-\frac{32 \ln \left(2 x -1\right)}{290521}+\frac{1612242 \ln \left(3 x +2\right)}{2401}-\frac{81250 \ln \left(5 x +3\right)}{121}-\frac{625}{11 \left(5 x +3\right)}-\frac{3}{7 \left(3 x +2\right)^{3}}-\frac{324}{49 \left(3 x +2\right)^{2}}-\frac{34371}{343 \left(3 x +2\right)}"," ",0,"-625/11/(5*x+3)-81250/121*ln(5*x+3)-3/7/(3*x+2)^3-324/49/(3*x+2)^2-34371/343/(3*x+2)+1612242/2401*ln(3*x+2)-32/290521*ln(2*x-1)","A"
1514,1,71,70,0.013000," ","int(1/(1-2*x)/(3*x+2)^5/(5*x+3)^2,x)","-\frac{64 \ln \left(2 x -1\right)}{2033647}+\frac{70752609 \ln \left(3 x +2\right)}{16807}-\frac{509375 \ln \left(5 x +3\right)}{121}-\frac{3125}{11 \left(5 x +3\right)}-\frac{9}{28 \left(3 x +2\right)^{4}}-\frac{216}{49 \left(3 x +2\right)^{3}}-\frac{34371}{686 \left(3 x +2\right)^{2}}-\frac{1612242}{2401 \left(3 x +2\right)}"," ",0,"-3125/11/(5*x+3)-509375/121*ln(5*x+3)-9/28/(3*x+2)^4-216/49/(3*x+2)^3-34371/686/(3*x+2)^2-1612242/2401/(3*x+2)+70752609/16807*ln(3*x+2)-64/2033647*ln(2*x-1)","A"
1515,1,80,79,0.012000," ","int(1/(1-2*x)/(3*x+2)^6/(5*x+3)^2,x)","-\frac{128 \ln \left(2 x -1\right)}{14235529}+\frac{2977686468 \ln \left(3 x +2\right)}{117649}-\frac{3062500 \ln \left(5 x +3\right)}{121}-\frac{15625}{11 \left(5 x +3\right)}-\frac{9}{35 \left(3 x +2\right)^{5}}-\frac{162}{49 \left(3 x +2\right)^{4}}-\frac{11457}{343 \left(3 x +2\right)^{3}}-\frac{806121}{2401 \left(3 x +2\right)^{2}}-\frac{70752609}{16807 \left(3 x +2\right)}"," ",0,"-15625/11/(5*x+3)-3062500/121*ln(5*x+3)-9/35/(3*x+2)^5-162/49/(3*x+2)^4-11457/343/(3*x+2)^3-806121/2401/(3*x+2)^2-70752609/16807/(3*x+2)+2977686468/117649*ln(3*x+2)-128/14235529*ln(2*x-1)","A"
1516,1,59,58,0.009000," ","int((3*x+2)^8/(1-2*x)/(5*x+3)^3,x)","-\frac{6561 x^{5}}{1250}-\frac{264627 x^{4}}{10000}-\frac{1535517 x^{3}}{25000}-\frac{9268263 x^{2}}{100000}-\frac{62934003 x}{500000}-\frac{5764801 \ln \left(2 x -1\right)}{85184}+\frac{31024 \ln \left(5 x +3\right)}{519921875}-\frac{1}{8593750 \left(5 x +3\right)^{2}}-\frac{266}{47265625 \left(5 x +3\right)}"," ",0,"-6561/1250*x^5-264627/10000*x^4-1535517/25000*x^3-9268263/100000*x^2-62934003/500000*x-1/8593750/(5*x+3)^2-266/47265625/(5*x+3)+31024/519921875*ln(5*x+3)-5764801/85184*ln(2*x-1)","A"
1517,1,54,53,0.009000," ","int((3*x+2)^7/(1-2*x)/(5*x+3)^3,x)","-\frac{2187 x^{4}}{1000}-\frac{24543 x^{3}}{2500}-\frac{1044657 x^{2}}{50000}-\frac{339309 x}{10000}-\frac{823543 \ln \left(2 x -1\right)}{42592}+\frac{4667 \ln \left(5 x +3\right)}{20796875}-\frac{1}{1718750 \left(5 x +3\right)^{2}}-\frac{233}{9453125 \left(5 x +3\right)}"," ",0,"-2187/1000*x^4-24543/2500*x^3-1044657/50000*x^2-339309/10000*x-1/1718750/(5*x+3)^2-233/9453125/(5*x+3)+4667/20796875*ln(5*x+3)-823543/42592*ln(2*x-1)","A"
1518,1,49,48,0.010000," ","int((3*x+2)^6/(1-2*x)/(5*x+3)^3,x)","-\frac{243 x^{3}}{250}-\frac{19683 x^{2}}{5000}-\frac{216999 x}{25000}-\frac{117649 \ln \left(2 x -1\right)}{21296}+\frac{3347 \ln \left(5 x +3\right)}{4159375}-\frac{1}{343750 \left(5 x +3\right)^{2}}-\frac{8}{75625 \left(5 x +3\right)}"," ",0,"-243/250*x^3-19683/5000*x^2-216999/25000*x-1/343750/(5*x+3)^2-8/75625/(5*x+3)+3347/4159375*ln(5*x+3)-117649/21296*ln(2*x-1)","A"
1519,1,44,43,0.008000," ","int((3*x+2)^5/(1-2*x)/(5*x+3)^3,x)","-\frac{243 x^{2}}{500}-\frac{4941 x}{2500}-\frac{16807 \ln \left(2 x -1\right)}{10648}+\frac{11224 \ln \left(5 x +3\right)}{4159375}-\frac{1}{68750 \left(5 x +3\right)^{2}}-\frac{167}{378125 \left(5 x +3\right)}"," ",0,"-243/500*x^2-4941/2500*x-1/68750/(5*x+3)^2-167/378125/(5*x+3)+11224/4159375*ln(5*x+3)-16807/10648*ln(2*x-1)","A"
1520,1,39,38,0.010000," ","int((3*x+2)^4/(1-2*x)/(5*x+3)^3,x)","-\frac{81 x}{250}-\frac{2401 \ln \left(2 x -1\right)}{5324}+\frac{6802 \ln \left(5 x +3\right)}{831875}-\frac{1}{13750 \left(5 x +3\right)^{2}}-\frac{134}{75625 \left(5 x +3\right)}"," ",0,"-81/250*x-1/13750/(5*x+3)^2-134/75625/(5*x+3)+6802/831875*ln(5*x+3)-2401/5324*ln(2*x-1)","A"
1521,1,36,35,0.009000," ","int((3*x+2)^3/(1-2*x)/(5*x+3)^3,x)","-\frac{343 \ln \left(2 x -1\right)}{2662}+\frac{3469 \ln \left(5 x +3\right)}{166375}-\frac{1}{2750 \left(5 x +3\right)^{2}}-\frac{101}{15125 \left(5 x +3\right)}"," ",0,"-1/2750/(5*x+3)^2-101/15125/(5*x+3)+3469/166375*ln(5*x+3)-343/2662*ln(2*x-1)","A"
1522,1,36,35,0.010000," ","int((3*x+2)^2/(1-2*x)/(5*x+3)^3,x)","-\frac{49 \ln \left(2 x -1\right)}{1331}+\frac{49 \ln \left(5 x +3\right)}{1331}-\frac{1}{550 \left(5 x +3\right)^{2}}-\frac{68}{3025 \left(5 x +3\right)}"," ",0,"-1/550/(5*x+3)^2-68/3025/(5*x+3)+49/1331*ln(5*x+3)-49/1331*ln(2*x-1)","A"
1523,1,36,35,0.008000," ","int((3*x+2)/(1-2*x)/(5*x+3)^3,x)","-\frac{14 \ln \left(2 x -1\right)}{1331}+\frac{14 \ln \left(5 x +3\right)}{1331}-\frac{1}{110 \left(5 x +3\right)^{2}}-\frac{7}{121 \left(5 x +3\right)}"," ",0,"-1/110/(5*x+3)^2-7/121/(5*x+3)+14/1331*ln(5*x+3)-14/1331*ln(2*x-1)","A"
1524,1,36,35,0.008000," ","int(1/(1-2*x)/(5*x+3)^3,x)","-\frac{4 \ln \left(2 x -1\right)}{1331}+\frac{4 \ln \left(5 x +3\right)}{1331}-\frac{1}{22 \left(5 x +3\right)^{2}}-\frac{2}{121 \left(5 x +3\right)}"," ",0,"-1/22/(5*x+3)^2-2/121/(5*x+3)+4/1331*ln(5*x+3)-4/1331*ln(2*x-1)","A"
1525,1,44,43,0.008000," ","int(1/(1-2*x)/(3*x+2)/(5*x+3)^3,x)","-\frac{8 \ln \left(2 x -1\right)}{9317}-\frac{27 \ln \left(3 x +2\right)}{7}+\frac{5135 \ln \left(5 x +3\right)}{1331}-\frac{5}{22 \left(5 x +3\right)^{2}}+\frac{155}{121 \left(5 x +3\right)}"," ",0,"-5/22/(5*x+3)^2+155/121/(5*x+3)+5135/1331*ln(5*x+3)-27/7*ln(3*x+2)-8/9317*ln(2*x-1)","A"
1526,1,53,52,0.010000," ","int(1/(1-2*x)/(3*x+2)^2/(5*x+3)^3,x)","-\frac{16 \ln \left(2 x -1\right)}{65219}-\frac{2889 \ln \left(3 x +2\right)}{49}+\frac{78475 \ln \left(5 x +3\right)}{1331}-\frac{25}{22 \left(5 x +3\right)^{2}}+\frac{1600}{121 \left(5 x +3\right)}+\frac{27}{7 \left(3 x +2\right)}"," ",0,"-25/22/(5*x+3)^2+1600/121/(5*x+3)+78475/1331*ln(5*x+3)+27/7/(3*x+2)-2889/49*ln(3*x+2)-16/65219*ln(2*x-1)","A"
1527,1,62,61,0.012000," ","int(1/(1-2*x)/(3*x+2)^3/(5*x+3)^3,x)","-\frac{32 \ln \left(2 x -1\right)}{456533}-\frac{204228 \ln \left(3 x +2\right)}{343}+\frac{792500 \ln \left(5 x +3\right)}{1331}-\frac{125}{22 \left(5 x +3\right)^{2}}+\frac{12125}{121 \left(5 x +3\right)}+\frac{27}{14 \left(3 x +2\right)^{2}}+\frac{2889}{49 \left(3 x +2\right)}"," ",0,"-125/22/(5*x+3)^2+12125/121/(5*x+3)+792500/1331*ln(5*x+3)+27/14/(3*x+2)^2+2889/49/(3*x+2)-204228/343*ln(3*x+2)-32/456533*ln(2*x-1)","A"
1528,1,71,70,0.011000," ","int(1/(1-2*x)/(3*x+2)^4/(5*x+3)^3,x)","-\frac{64 \ln \left(2 x -1\right)}{3195731}-\frac{11984706 \ln \left(3 x +2\right)}{2401}+\frac{6643750 \ln \left(5 x +3\right)}{1331}-\frac{625}{22 \left(5 x +3\right)^{2}}+\frac{81250}{121 \left(5 x +3\right)}+\frac{9}{7 \left(3 x +2\right)^{3}}+\frac{2889}{98 \left(3 x +2\right)^{2}}+\frac{204228}{343 \left(3 x +2\right)}"," ",0,"-625/22/(5*x+3)^2+81250/121/(5*x+3)+6643750/1331*ln(5*x+3)+9/7/(3*x+2)^3+2889/98/(3*x+2)^2+204228/343/(3*x+2)-11984706/2401*ln(3*x+2)-64/3195731*ln(2*x-1)","A"
1529,1,80,79,0.013000," ","int(1/(1-2*x)/(3*x+2)^5/(5*x+3)^3,x)","-\frac{128 \ln \left(2 x -1\right)}{22370117}-\frac{631722537 \ln \left(3 x +2\right)}{16807}+\frac{50028125 \ln \left(5 x +3\right)}{1331}-\frac{3125}{22 \left(5 x +3\right)^{2}}+\frac{509375}{121 \left(5 x +3\right)}+\frac{27}{28 \left(3 x +2\right)^{4}}+\frac{963}{49 \left(3 x +2\right)^{3}}+\frac{102114}{343 \left(3 x +2\right)^{2}}+\frac{11984706}{2401 \left(3 x +2\right)}"," ",0,"-3125/22/(5*x+3)^2+509375/121/(5*x+3)+50028125/1331*ln(5*x+3)+27/28/(3*x+2)^4+963/49/(3*x+2)^3+102114/343/(3*x+2)^2+11984706/2401/(3*x+2)-631722537/16807*ln(3*x+2)-128/22370117*ln(2*x-1)","A"
1530,1,229,97,0.009000," ","int((d*x+c)^4/(-b*x+a)/(b*x+a),x)","-\frac{d^{4} x^{3}}{3 b^{2}}-\frac{2 c \,d^{3} x^{2}}{b^{2}}-\frac{a^{3} d^{4} \ln \left(b x -a \right)}{2 b^{5}}+\frac{a^{3} d^{4} \ln \left(b x +a \right)}{2 b^{5}}-\frac{2 a^{2} c \,d^{3} \ln \left(b x -a \right)}{b^{4}}-\frac{2 a^{2} c \,d^{3} \ln \left(b x +a \right)}{b^{4}}-\frac{a^{2} d^{4} x}{b^{4}}-\frac{3 a \,c^{2} d^{2} \ln \left(b x -a \right)}{b^{3}}+\frac{3 a \,c^{2} d^{2} \ln \left(b x +a \right)}{b^{3}}-\frac{c^{4} \ln \left(b x -a \right)}{2 a b}+\frac{c^{4} \ln \left(b x +a \right)}{2 a b}-\frac{2 c^{3} d \ln \left(b x -a \right)}{b^{2}}-\frac{2 c^{3} d \ln \left(b x +a \right)}{b^{2}}-\frac{6 c^{2} d^{2} x}{b^{2}}"," ",0,"-1/3*d^4*x^3/b^2-2*c*d^3*x^2/b^2-d^4/b^4*a^2*x-6*d^2/b^2*c^2*x+1/2/b^5*a^3*ln(b*x+a)*d^4-2/b^4*a^2*ln(b*x+a)*c*d^3+3/b^3*a*ln(b*x+a)*c^2*d^2-2/b^2*ln(b*x+a)*c^3*d+1/2/b/a*ln(b*x+a)*c^4-1/2/b^5*a^3*ln(b*x-a)*d^4-2/b^4*a^2*ln(b*x-a)*c*d^3-3/b^3*a*ln(b*x-a)*c^2*d^2-2/b^2*ln(b*x-a)*c^3*d-1/2/b/a*ln(b*x-a)*c^4","B"
1531,1,161,70,0.009000," ","int((d*x+c)^3/(-b*x+a)/(b*x+a),x)","-\frac{d^{3} x^{2}}{2 b^{2}}-\frac{a^{2} d^{3} \ln \left(b x -a \right)}{2 b^{4}}-\frac{a^{2} d^{3} \ln \left(b x +a \right)}{2 b^{4}}-\frac{3 a c \,d^{2} \ln \left(b x -a \right)}{2 b^{3}}+\frac{3 a c \,d^{2} \ln \left(b x +a \right)}{2 b^{3}}-\frac{c^{3} \ln \left(b x -a \right)}{2 a b}+\frac{c^{3} \ln \left(b x +a \right)}{2 a b}-\frac{3 c^{2} d \ln \left(b x -a \right)}{2 b^{2}}-\frac{3 c^{2} d \ln \left(b x +a \right)}{2 b^{2}}-\frac{3 c \,d^{2} x}{b^{2}}"," ",0,"-1/2/b^2*d^3*x^2-3/b^2*c*d^2*x-1/2/b^4*a^2*ln(b*x+a)*d^3+3/2/b^3*a*ln(b*x+a)*c*d^2-3/2/b^2*ln(b*x+a)*c^2*d+1/2/b/a*ln(b*x+a)*c^3-1/2/b^4*a^2*ln(b*x-a)*d^3-3/2/b^3*a*ln(b*x-a)*c*d^2-3/2/b^2*ln(b*x-a)*c^2*d-1/2/b/a*ln(b*x-a)*c^3","B"
1532,1,107,58,0.008000," ","int((d*x+c)^2/(-b*x+a)/(b*x+a),x)","-\frac{a \,d^{2} \ln \left(b x -a \right)}{2 b^{3}}+\frac{a \,d^{2} \ln \left(b x +a \right)}{2 b^{3}}-\frac{c^{2} \ln \left(b x -a \right)}{2 a b}+\frac{c^{2} \ln \left(b x +a \right)}{2 a b}-\frac{c d \ln \left(b x -a \right)}{b^{2}}-\frac{c d \ln \left(b x +a \right)}{b^{2}}-\frac{d^{2} x}{b^{2}}"," ",0,"-1/b^2*d^2*x+1/2/b^3*a*ln(b*x+a)*d^2-1/b^2*ln(b*x+a)*c*d+1/2/b/a*ln(b*x+a)*c^2-1/2/b^3*a*ln(b*x-a)*d^2-1/b^2*ln(b*x-a)*c*d-1/2/b/a*ln(b*x-a)*c^2","A"
1533,1,60,45,0.006000," ","int((d*x+c)/(-b*x+a)/(b*x+a),x)","-\frac{c \ln \left(b x -a \right)}{2 a b}+\frac{c \ln \left(b x +a \right)}{2 a b}-\frac{d \ln \left(b x -a \right)}{2 b^{2}}-\frac{d \ln \left(b x +a \right)}{2 b^{2}}"," ",0,"-1/2/b^2*ln(b*x+a)*d+1/2/a/b*ln(b*x+a)*c-1/2/b^2*ln(b*x-a)*d-1/2/a/b*ln(b*x-a)*c","A"
1534,1,32,14,0.006000," ","int(1/(-b*x+a)/(b*x+a),x)","-\frac{\ln \left(b x -a \right)}{2 a b}+\frac{\ln \left(b x +a \right)}{2 a b}"," ",0,"1/2/b/a*ln(b*x+a)-1/2/b/a*ln(b*x-a)","B"
1535,1,72,70,0.007000," ","int(1/(-b*x+a)/(b*x+a)/(d*x+c),x)","\frac{d \ln \left(d x +c \right)}{\left(a d +b c \right) \left(a d -b c \right)}-\frac{\ln \left(b x -a \right)}{2 \left(a d +b c \right) a}-\frac{\ln \left(b x +a \right)}{2 \left(a d -b c \right) a}"," ",0,"d/(a*d+b*c)/(a*d-b*c)*ln(d*x+c)-1/2/a/(a*d-b*c)*ln(b*x+a)-1/2/(a*d+b*c)/a*ln(b*x-a)","A"
1536,1,108,103,0.011000," ","int(1/(-b*x+a)/(b*x+a)/(d*x+c)^2,x)","-\frac{2 b^{2} c d \ln \left(d x +c \right)}{\left(a d +b c \right)^{2} \left(a d -b c \right)^{2}}-\frac{b \ln \left(b x -a \right)}{2 \left(a d +b c \right)^{2} a}+\frac{b \ln \left(b x +a \right)}{2 \left(a d -b c \right)^{2} a}-\frac{d}{\left(a d +b c \right) \left(a d -b c \right) \left(d x +c \right)}"," ",0,"-d/(a*d+b*c)/(a*d-b*c)/(d*x+c)-2*b^2*c*d/(a*d+b*c)^2/(a*d-b*c)^2*ln(d*x+c)+1/2/a*b/(a*d-b*c)^2*ln(b*x+a)-1/2*b/(a*d+b*c)^2/a*ln(b*x-a)","A"
1537,1,182,155,0.013000," ","int(1/(-b*x+a)/(b*x+a)/(d*x+c)^3,x)","\frac{a^{2} b^{2} d^{3} \ln \left(d x +c \right)}{\left(a d +b c \right)^{3} \left(a d -b c \right)^{3}}+\frac{3 b^{4} c^{2} d \ln \left(d x +c \right)}{\left(a d +b c \right)^{3} \left(a d -b c \right)^{3}}+\frac{2 b^{2} c d}{\left(a d +b c \right)^{2} \left(a d -b c \right)^{2} \left(d x +c \right)}-\frac{b^{2} \ln \left(b x -a \right)}{2 \left(a d +b c \right)^{3} a}-\frac{b^{2} \ln \left(b x +a \right)}{2 \left(a d -b c \right)^{3} a}-\frac{d}{2 \left(a d +b c \right) \left(a d -b c \right) \left(d x +c \right)^{2}}"," ",0,"-1/2*d/(a*d+b*c)/(a*d-b*c)/(d*x+c)^2+b^2*d^3/(a*d+b*c)^3/(a*d-b*c)^3*ln(d*x+c)*a^2+3*b^4*d/(a*d+b*c)^3/(a*d-b*c)^3*ln(d*x+c)*c^2+2*b^2*c*d/(a*d+b*c)^2/(a*d-b*c)^2/(d*x+c)-1/2/a*b^2/(a*d-b*c)^3*ln(b*x+a)-1/2*b^2/(a*d+b*c)^3/a*ln(b*x-a)","A"
1538,1,57,56,0.007000," ","int((3*x+2)^8*(5*x+3)/(1-2*x)^2,x)","\frac{32805 x^{8}}{32}+\frac{56862 x^{7}}{7}+\frac{976617 x^{6}}{32}+\frac{5859459 x^{5}}{80}+\frac{32991057 x^{4}}{256}+\frac{5892813 x^{3}}{32}+\frac{122887143 x^{2}}{512}+\frac{91609881 x}{256}+\frac{246239357 \ln \left(2 x -1\right)}{1024}-\frac{63412811}{1024 \left(2 x -1\right)}"," ",0,"32805/32*x^8+56862/7*x^7+976617/32*x^6+5859459/80*x^5+32991057/256*x^4+5892813/32*x^3+122887143/512*x^2+91609881/256*x-63412811/1024/(2*x-1)+246239357/1024*ln(2*x-1)","A"
1539,1,52,51,0.007000," ","int((3*x+2)^7*(5*x+3)/(1-2*x)^2,x)","\frac{10935 x^{7}}{28}+\frac{11421 x^{6}}{4}+\frac{793881 x^{5}}{80}+\frac{1423899 x^{4}}{64}+\frac{2399985 x^{3}}{64}+\frac{873207 x^{2}}{16}+\frac{22333965 x}{256}+\frac{15647317 \ln \left(2 x -1\right)}{256}-\frac{9058973}{512 \left(2 x -1\right)}"," ",0,"10935/28*x^7+11421/4*x^6+793881/80*x^5+1423899/64*x^4+2399985/64*x^3+873207/16*x^2+22333965/256*x-9058973/512/(2*x-1)+15647317/256*ln(2*x-1)","A"
1540,1,47,46,0.007000," ","int((3*x+2)^6*(5*x+3)/(1-2*x)^2,x)","\frac{1215 x^{6}}{8}+\frac{5103 x^{5}}{5}+\frac{210195 x^{4}}{64}+\frac{111501 x^{3}}{16}+\frac{1507977 x^{2}}{128}+\frac{661617 x}{32}+\frac{3916031 \ln \left(2 x -1\right)}{256}-\frac{1294139}{256 \left(2 x -1\right)}"," ",0,"1215/8*x^6+5103/5*x^5+210195/64*x^4+111501/16*x^3+1507977/128*x^2+661617/32*x-1294139/256/(2*x-1)+3916031/256*ln(2*x-1)","A"
1541,1,42,41,0.007000," ","int((3*x+2)^5*(5*x+3)/(1-2*x)^2,x)","\frac{243 x^{5}}{4}+\frac{2997 x^{4}}{8}+\frac{18027 x^{3}}{16}+\frac{75447 x^{2}}{32}+\frac{301467 x}{64}+\frac{60025 \ln \left(2 x -1\right)}{16}-\frac{184877}{128 \left(2 x -1\right)}"," ",0,"243/4*x^5+2997/8*x^4+18027/16*x^3+75447/32*x^2+301467/64*x-184877/128/(2*x-1)+60025/16*ln(2*x-1)","A"
1542,1,37,36,0.007000," ","int((3*x+2)^4*(5*x+3)/(1-2*x)^2,x)","\frac{405 x^{4}}{16}+144 x^{3}+\frac{13419 x^{2}}{32}+\frac{16203 x}{16}+\frac{57281 \ln \left(2 x -1\right)}{64}-\frac{26411}{64 \left(2 x -1\right)}"," ",0,"405/16*x^4+144*x^3+13419/32*x^2+16203/16*x-26411/64/(2*x-1)+57281/64*ln(2*x-1)","A"
1543,1,32,31,0.006000," ","int((3*x+2)^3*(5*x+3)/(1-2*x)^2,x)","\frac{45 x^{3}}{4}+\frac{243 x^{2}}{4}+\frac{3177 x}{16}+\frac{3283 \ln \left(2 x -1\right)}{16}-\frac{3773}{32 \left(2 x -1\right)}"," ",0,"45/4*x^3+243/4*x^2+3177/16*x-3773/32/(2*x-1)+3283/16*ln(2*x-1)","A"
1544,1,27,26,0.009000," ","int((3*x+2)^2*(5*x+3)/(1-2*x)^2,x)","\frac{45 x^{2}}{8}+33 x +\frac{707 \ln \left(2 x -1\right)}{16}-\frac{539}{16 \left(2 x -1\right)}"," ",0,"45/8*x^2+33*x-539/16/(2*x-1)+707/16*ln(2*x-1)","A"
1545,1,22,21,0.007000," ","int((3*x+2)*(5*x+3)/(1-2*x)^2,x)","\frac{15 x}{4}+\frac{17 \ln \left(2 x -1\right)}{2}-\frac{77}{8 \left(2 x -1\right)}"," ",0,"15/4*x-77/8/(2*x-1)+17/2*ln(2*x-1)","A"
1546,1,19,18,0.005000," ","int((5*x+3)/(1-2*x)^2,x)","\frac{5 \ln \left(2 x -1\right)}{4}-\frac{11}{4 \left(2 x -1\right)}"," ",0,"-11/4/(2*x-1)+5/4*ln(2*x-1)","A"
1547,1,27,26,0.008000," ","int((5*x+3)/(1-2*x)^2/(3*x+2),x)","\frac{\ln \left(2 x -1\right)}{49}-\frac{\ln \left(3 x +2\right)}{49}-\frac{11}{14 \left(2 x -1\right)}"," ",0,"-1/49*ln(3*x+2)-11/14/(2*x-1)+1/49*ln(2*x-1)","A"
1548,1,36,35,0.010000," ","int((5*x+3)/(1-2*x)^2/(3*x+2)^2,x)","-\frac{31 \ln \left(2 x -1\right)}{343}+\frac{31 \ln \left(3 x +2\right)}{343}+\frac{1}{147 x +98}-\frac{11}{49 \left(2 x -1\right)}"," ",0,"1/49/(3*x+2)+31/343*ln(3*x+2)-11/49/(2*x-1)-31/343*ln(2*x-1)","A"
1549,1,45,44,0.009000," ","int((5*x+3)/(1-2*x)^2/(3*x+2)^3,x)","-\frac{128 \ln \left(2 x -1\right)}{2401}+\frac{128 \ln \left(3 x +2\right)}{2401}+\frac{1}{98 \left(3 x +2\right)^{2}}-\frac{31}{343 \left(3 x +2\right)}-\frac{22}{343 \left(2 x -1\right)}"," ",0,"1/98/(3*x+2)^2-31/343/(3*x+2)+128/2401*ln(3*x+2)-22/343/(2*x-1)-128/2401*ln(2*x-1)","A"
1550,1,54,53,0.010000," ","int((5*x+3)/(1-2*x)^2/(3*x+2)^4,x)","-\frac{388 \ln \left(2 x -1\right)}{16807}+\frac{388 \ln \left(3 x +2\right)}{16807}+\frac{1}{147 \left(3 x +2\right)^{3}}-\frac{31}{686 \left(3 x +2\right)^{2}}-\frac{128}{2401 \left(3 x +2\right)}-\frac{44}{2401 \left(2 x -1\right)}"," ",0,"1/147/(3*x+2)^3-31/686/(3*x+2)^2-128/2401/(3*x+2)+388/16807*ln(3*x+2)-44/2401/(2*x-1)-388/16807*ln(2*x-1)","A"
1551,1,63,62,0.010000," ","int((5*x+3)/(1-2*x)^2/(3*x+2)^5,x)","-\frac{1040 \ln \left(2 x -1\right)}{117649}+\frac{1040 \ln \left(3 x +2\right)}{117649}+\frac{1}{196 \left(3 x +2\right)^{4}}-\frac{31}{1029 \left(3 x +2\right)^{3}}-\frac{64}{2401 \left(3 x +2\right)^{2}}-\frac{388}{16807 \left(3 x +2\right)}-\frac{88}{16807 \left(2 x -1\right)}"," ",0,"1/196/(3*x+2)^4-31/1029/(3*x+2)^3-64/2401/(3*x+2)^2-388/16807/(3*x+2)+1040/117649*ln(3*x+2)-88/16807/(2*x-1)-1040/117649*ln(2*x-1)","A"
1552,1,72,71,0.012000," ","int((5*x+3)/(1-2*x)^2/(3*x+2)^6,x)","-\frac{2608 \ln \left(2 x -1\right)}{823543}+\frac{2608 \ln \left(3 x +2\right)}{823543}+\frac{1}{245 \left(3 x +2\right)^{5}}-\frac{31}{1372 \left(3 x +2\right)^{4}}-\frac{128}{7203 \left(3 x +2\right)^{3}}-\frac{194}{16807 \left(3 x +2\right)^{2}}-\frac{1040}{117649 \left(3 x +2\right)}-\frac{176}{117649 \left(2 x -1\right)}"," ",0,"1/245/(3*x+2)^5-31/1372/(3*x+2)^4-128/7203/(3*x+2)^3-194/16807/(3*x+2)^2-1040/117649/(3*x+2)+2608/823543*ln(3*x+2)-176/117649/(2*x-1)-2608/823543*ln(2*x-1)","A"
1553,1,81,80,0.012000," ","int((5*x+3)/(1-2*x)^2/(3*x+2)^7,x)","-\frac{128 \ln \left(2 x -1\right)}{117649}+\frac{128 \ln \left(3 x +2\right)}{117649}+\frac{1}{294 \left(3 x +2\right)^{6}}-\frac{31}{1715 \left(3 x +2\right)^{5}}-\frac{32}{2401 \left(3 x +2\right)^{4}}-\frac{388}{50421 \left(3 x +2\right)^{3}}-\frac{520}{117649 \left(3 x +2\right)^{2}}-\frac{2608}{823543 \left(3 x +2\right)}-\frac{352}{823543 \left(2 x -1\right)}"," ",0,"1/294/(3*x+2)^6-31/1715/(3*x+2)^5-32/2401/(3*x+2)^4-388/50421/(3*x+2)^3-520/117649/(3*x+2)^2-2608/823543/(3*x+2)+128/117649*ln(3*x+2)-352/823543/(2*x-1)-128/117649*ln(2*x-1)","A"
1554,1,62,61,0.007000," ","int((3*x+2)^8*(5*x+3)^2/(1-2*x)^2,x)","\frac{18225 x^{9}}{4}+\frac{1235655 x^{8}}{32}+\frac{17378631 x^{7}}{112}+396738 x^{6}+\frac{235268793 x^{5}}{320}+\frac{275757561 x^{4}}{256}+\frac{346239417 x^{3}}{256}+\frac{413355417 x^{2}}{256}+\frac{2330515357 x}{1024}+\frac{1512848491 \ln \left(2 x -1\right)}{1024}-\frac{697540921}{2048 \left(2 x -1\right)}"," ",0,"18225/4*x^9+1235655/32*x^8+17378631/112*x^7+396738*x^6+235268793/320*x^5+275757561/256*x^4+346239417/256*x^3+413355417/256*x^2+2330515357/1024*x-697540921/2048/(2*x-1)+1512848491/1024*ln(2*x-1)","A"
1555,1,57,56,0.007000," ","int((3*x+2)^7*(5*x+3)^2/(1-2*x)^2,x)","\frac{54675 x^{8}}{32}+\frac{375435 x^{7}}{28}+\frac{1597239 x^{6}}{32}+\frac{4750569 x^{5}}{40}+\frac{53086563 x^{4}}{256}+\frac{18842715 x^{3}}{64}+\frac{195497697 x^{2}}{512}+\frac{9077405 x}{16}+\frac{389535839 \ln \left(2 x -1\right)}{1024}-\frac{99648703}{1024 \left(2 x -1\right)}"," ",0,"54675/32*x^8+375435/28*x^7+1597239/32*x^6+4750569/40*x^5+53086563/256*x^4+18842715/64*x^3+195497697/512*x^2+9077405/16*x-99648703/1024/(2*x-1)+389535839/1024*ln(2*x-1)","A"
1556,1,52,51,0.006000," ","int((3*x+2)^6*(5*x+3)^2/(1-2*x)^2,x)","\frac{18225 x^{7}}{28}+\frac{37665 x^{6}}{8}+\frac{1295919 x^{5}}{80}+\frac{575775 x^{4}}{16}+\frac{3851307 x^{3}}{64}+\frac{11140101 x^{2}}{128}+\frac{35458963 x}{256}+\frac{12386759 \ln \left(2 x -1\right)}{128}-\frac{14235529}{512 \left(2 x -1\right)}"," ",0,"18225/28*x^7+37665/8*x^6+1295919/80*x^5+575775/16*x^4+3851307/64*x^3+11140101/128*x^2+35458963/256*x-14235529/512/(2*x-1)+12386759/128*ln(2*x-1)","A"
1557,1,47,46,0.007000," ","int((3*x+2)^5*(5*x+3)^2/(1-2*x)^2,x)","\frac{2025 x^{6}}{8}+\frac{6723 x^{5}}{4}+\frac{342333 x^{4}}{64}+\frac{89913 x^{3}}{8}+\frac{2412699 x^{2}}{128}+\frac{2104901 x}{64}+\frac{6206585 \ln \left(2 x -1\right)}{256}-\frac{2033647}{256 \left(2 x -1\right)}"," ",0,"2025/8*x^6+6723/4*x^5+342333/64*x^4+89913/8*x^3+2412699/128*x^2+2104901/64*x-2033647/256/(2*x-1)+6206585/256*ln(2*x-1)","A"
1558,1,42,41,0.006000," ","int((3*x+2)^4*(5*x+3)^2/(1-2*x)^2,x)","\frac{405 x^{5}}{4}+\frac{9855 x^{4}}{16}+\frac{29277 x^{3}}{16}+\frac{15159 x^{2}}{4}+\frac{480841 x}{64}+\frac{381073 \ln \left(2 x -1\right)}{64}-\frac{290521}{128 \left(2 x -1\right)}"," ",0,"405/4*x^5+9855/16*x^4+29277/16*x^3+15159/4*x^2+480841/64*x-290521/128/(2*x-1)+381073/64*ln(2*x-1)","A"
1559,1,37,36,0.005000," ","int((3*x+2)^3*(5*x+3)^2/(1-2*x)^2,x)","\frac{675 x^{4}}{16}+\frac{945 x^{3}}{4}+\frac{21717 x^{2}}{32}+\frac{12973 x}{8}+\frac{91091 \ln \left(2 x -1\right)}{64}-\frac{41503}{64 \left(2 x -1\right)}"," ",0,"675/16*x^4+945/4*x^3+21717/32*x^2+12973/8*x-41503/64/(2*x-1)+91091/64*ln(2*x-1)","A"
1560,1,32,31,0.006000," ","int((3*x+2)^2*(5*x+3)^2/(1-2*x)^2,x)","\frac{75 x^{3}}{4}+\frac{795 x^{2}}{8}+\frac{5119 x}{16}+\frac{1309 \ln \left(2 x -1\right)}{4}-\frac{5929}{32 \left(2 x -1\right)}"," ",0,"75/4*x^3+795/8*x^2+5119/16*x-5929/32/(2*x-1)+1309/4*ln(2*x-1)","A"
1561,1,27,26,0.006000," ","int((3*x+2)*(5*x+3)^2/(1-2*x)^2,x)","\frac{75 x^{2}}{8}+\frac{215 x}{4}+\frac{1133 \ln \left(2 x -1\right)}{16}-\frac{847}{16 \left(2 x -1\right)}"," ",0,"75/8*x^2+215/4*x-847/16/(2*x-1)+1133/16*ln(2*x-1)","A"
1562,1,22,21,0.006000," ","int((5*x+3)^2/(1-2*x)^2,x)","\frac{25 x}{4}+\frac{55 \ln \left(2 x -1\right)}{4}-\frac{121}{8 \left(2 x -1\right)}"," ",0,"25/4*x-121/8/(2*x-1)+55/4*ln(2*x-1)","A"
1563,1,27,26,0.007000," ","int((5*x+3)^2/(1-2*x)^2/(3*x+2),x)","\frac{407 \ln \left(2 x -1\right)}{196}+\frac{\ln \left(3 x +2\right)}{147}-\frac{121}{28 \left(2 x -1\right)}"," ",0,"1/147*ln(3*x+2)-121/28/(2*x-1)+407/196*ln(2*x-1)","A"
1564,1,36,35,0.009000," ","int((5*x+3)^2/(1-2*x)^2/(3*x+2)^2,x)","\frac{22 \ln \left(2 x -1\right)}{343}-\frac{22 \ln \left(3 x +2\right)}{343}-\frac{1}{147 \left(3 x +2\right)}-\frac{121}{98 \left(2 x -1\right)}"," ",0,"-1/147/(3*x+2)-22/343*ln(3*x+2)-121/98/(2*x-1)+22/343*ln(2*x-1)","A"
1565,1,45,44,0.010000," ","int((5*x+3)^2/(1-2*x)^2/(3*x+2)^3,x)","-\frac{319 \ln \left(2 x -1\right)}{2401}+\frac{319 \ln \left(3 x +2\right)}{2401}-\frac{1}{294 \left(3 x +2\right)^{2}}+\frac{22}{343 \left(3 x +2\right)}-\frac{121}{343 \left(2 x -1\right)}"," ",0,"-1/294/(3*x+2)^2+22/343/(3*x+2)+319/2401*ln(3*x+2)-121/343/(2*x-1)-319/2401*ln(2*x-1)","A"
1566,1,54,53,0.008000," ","int((5*x+3)^2/(1-2*x)^2/(3*x+2)^4,x)","-\frac{1364 \ln \left(2 x -1\right)}{16807}+\frac{1364 \ln \left(3 x +2\right)}{16807}-\frac{1}{441 \left(3 x +2\right)^{3}}+\frac{11}{343 \left(3 x +2\right)^{2}}-\frac{319}{2401 \left(3 x +2\right)}-\frac{242}{2401 \left(2 x -1\right)}"," ",0,"-1/441/(3*x+2)^3+11/343/(3*x+2)^2-319/2401/(3*x+2)+1364/16807*ln(3*x+2)-242/2401/(2*x-1)-1364/16807*ln(2*x-1)","A"
1567,1,63,62,0.010000," ","int((5*x+3)^2/(1-2*x)^2/(3*x+2)^5,x)","-\frac{4180 \ln \left(2 x -1\right)}{117649}+\frac{4180 \ln \left(3 x +2\right)}{117649}-\frac{1}{588 \left(3 x +2\right)^{4}}+\frac{22}{1029 \left(3 x +2\right)^{3}}-\frac{319}{4802 \left(3 x +2\right)^{2}}-\frac{1364}{16807 \left(3 x +2\right)}-\frac{484}{16807 \left(2 x -1\right)}"," ",0,"-1/588/(3*x+2)^4+22/1029/(3*x+2)^3-319/4802/(3*x+2)^2-1364/16807/(3*x+2)+4180/117649*ln(3*x+2)-484/16807/(2*x-1)-4180/117649*ln(2*x-1)","A"
1568,1,72,71,0.011000," ","int((5*x+3)^2/(1-2*x)^2/(3*x+2)^6,x)","-\frac{11264 \ln \left(2 x -1\right)}{823543}+\frac{11264 \ln \left(3 x +2\right)}{823543}-\frac{1}{735 \left(3 x +2\right)^{5}}+\frac{11}{686 \left(3 x +2\right)^{4}}-\frac{319}{7203 \left(3 x +2\right)^{3}}-\frac{682}{16807 \left(3 x +2\right)^{2}}-\frac{4180}{117649 \left(3 x +2\right)}-\frac{968}{117649 \left(2 x -1\right)}"," ",0,"-1/735/(3*x+2)^5+11/686/(3*x+2)^4-319/7203/(3*x+2)^3-682/16807/(3*x+2)^2-4180/117649/(3*x+2)+11264/823543*ln(3*x+2)-968/117649/(2*x-1)-11264/823543*ln(2*x-1)","A"
1569,1,81,80,0.009000," ","int((5*x+3)^2/(1-2*x)^2/(3*x+2)^7,x)","-\frac{4048 \ln \left(2 x -1\right)}{823543}+\frac{4048 \ln \left(3 x +2\right)}{823543}-\frac{1}{882 \left(3 x +2\right)^{6}}+\frac{22}{1715 \left(3 x +2\right)^{5}}-\frac{319}{9604 \left(3 x +2\right)^{4}}-\frac{1364}{50421 \left(3 x +2\right)^{3}}-\frac{2090}{117649 \left(3 x +2\right)^{2}}-\frac{11264}{823543 \left(3 x +2\right)}-\frac{1936}{823543 \left(2 x -1\right)}"," ",0,"-1/882/(3*x+2)^6+22/1715/(3*x+2)^5-319/9604/(3*x+2)^4-1364/50421/(3*x+2)^3-2090/117649/(3*x+2)^2-11264/823543/(3*x+2)+4048/823543*ln(3*x+2)-1936/823543/(2*x-1)-4048/823543*ln(2*x-1)","A"
1570,1,90,89,0.012000," ","int((5*x+3)^2/(1-2*x)^2/(3*x+2)^8,x)","-\frac{68288 \ln \left(2 x -1\right)}{40353607}+\frac{68288 \ln \left(3 x +2\right)}{40353607}-\frac{1}{1029 \left(3 x +2\right)^{7}}+\frac{11}{1029 \left(3 x +2\right)^{6}}-\frac{319}{12005 \left(3 x +2\right)^{5}}-\frac{341}{16807 \left(3 x +2\right)^{4}}-\frac{4180}{352947 \left(3 x +2\right)^{3}}-\frac{5632}{823543 \left(3 x +2\right)^{2}}-\frac{4048}{823543 \left(3 x +2\right)}-\frac{3872}{5764801 \left(2 x -1\right)}"," ",0,"-1/1029/(3*x+2)^7+11/1029/(3*x+2)^6-319/12005/(3*x+2)^5-341/16807/(3*x+2)^4-4180/352947/(3*x+2)^3-5632/823543/(3*x+2)^2-4048/823543/(3*x+2)+68288/40353607*ln(3*x+2)-3872/5764801/(2*x-1)-68288/40353607*ln(2*x-1)","A"
1571,1,67,66,0.007000," ","int((3*x+2)^8*(5*x+3)^3/(1-2*x)^2,x)","\frac{164025 x^{10}}{8}+\frac{370575 x^{9}}{2}+\frac{101721015 x^{8}}{128}+\frac{242570133 x^{7}}{112}+\frac{544462047 x^{6}}{128}+\frac{260574273 x^{5}}{40}+\frac{8502681987 x^{4}}{1024}+\frac{2416569641 x^{3}}{256}+\frac{21573106793 x^{2}}{2048}+\frac{7277894263 x}{512}+\frac{36770371407 \ln \left(2 x -1\right)}{4096}-\frac{7672950131}{4096 \left(2 x -1\right)}"," ",0,"164025/8*x^10+370575/2*x^9+101721015/128*x^8+242570133/112*x^7+544462047/128*x^6+260574273/40*x^5+8502681987/1024*x^4+2416569641/256*x^3+21573106793/2048*x^2+7277894263/512*x-7672950131/4096/(2*x-1)+36770371407/4096*ln(2*x-1)","A"
1572,1,62,61,0.008000," ","int((3*x+2)^7*(5*x+3)^3/(1-2*x)^2,x)","\frac{30375 x^{9}}{4}+\frac{127575 x^{8}}{2}+\frac{28463805 x^{7}}{112}+\frac{20626947 x^{6}}{32}+\frac{379446471 x^{5}}{320}+\frac{220950207 x^{4}}{128}+\frac{551942075 x^{3}}{256}+\frac{1312685491 x^{2}}{512}+\frac{3690540955 x}{1024}+\frac{298946109 \ln \left(2 x -1\right)}{128}-\frac{1096135733}{2048 \left(2 x -1\right)}"," ",0,"30375/4*x^9+127575/2*x^8+28463805/112*x^7+20626947/32*x^6+379446471/320*x^5+220950207/128*x^4+551942075/256*x^3+1312685491/512*x^2+3690540955/1024*x-1096135733/2048/(2*x-1)+298946109/128*ln(2*x-1)","A"
1573,1,57,56,0.007000," ","int((3*x+2)^6*(5*x+3)^3/(1-2*x)^2,x)","\frac{91125 x^{8}}{32}+\frac{309825 x^{7}}{14}+\frac{2611845 x^{6}}{32}+\frac{15403257 x^{5}}{80}+\frac{85406805 x^{4}}{256}+\frac{7530189 x^{3}}{16}+\frac{310976027 x^{2}}{512}+\frac{230244479 x}{256}+\frac{616195041 \ln \left(2 x -1\right)}{1024}-\frac{156590819}{1024 \left(2 x -1\right)}"," ",0,"91125/32*x^8+309825/14*x^7+2611845/32*x^6+15403257/80*x^5+85406805/256*x^4+7530189/16*x^3+310976027/512*x^2+230244479/256*x-156590819/1024/(2*x-1)+616195041/1024*ln(2*x-1)","A"
1574,1,52,51,0.005000," ","int((3*x+2)^5*(5*x+3)^3/(1-2*x)^2,x)","\frac{30375 x^{7}}{28}+\frac{15525 x^{6}}{2}+\frac{423009 x^{5}}{16}+\frac{3724389 x^{4}}{64}+\frac{6179077 x^{3}}{64}+\frac{8881301 x^{2}}{64}+\frac{56291737 x}{256}+\frac{39220335 \ln \left(2 x -1\right)}{256}-\frac{22370117}{512 \left(2 x -1\right)}"," ",0,"30375/28*x^7+15525/2*x^6+423009/16*x^5+3724389/64*x^4+6179077/64*x^3+8881301/64*x^2+56291737/256*x-22370117/512/(2*x-1)+39220335/256*ln(2*x-1)","A"
1575,1,47,46,0.008000," ","int((3*x+2)^4*(5*x+3)^3/(1-2*x)^2,x)","\frac{3375 x^{6}}{8}+\frac{5535 x^{5}}{2}+\frac{557415 x^{4}}{64}+\frac{289951 x^{3}}{16}+\frac{3859469 x^{2}}{128}+\frac{209243 x}{4}+\frac{9836211 \ln \left(2 x -1\right)}{256}-\frac{3195731}{256 \left(2 x -1\right)}"," ",0,"3375/8*x^6+5535/2*x^5+557415/64*x^4+289951/16*x^3+3859469/128*x^2+209243/4*x-3195731/256/(2*x-1)+9836211/256*ln(2*x-1)","A"
1576,1,42,41,0.006000," ","int((3*x+2)^3*(5*x+3)^3/(1-2*x)^2,x)","\frac{675 x^{5}}{4}+\frac{2025 x^{4}}{2}+\frac{47535 x^{3}}{16}+\frac{194881 x^{2}}{32}+\frac{766807 x}{64}+\frac{302379 \ln \left(2 x -1\right)}{32}-\frac{456533}{128 \left(2 x -1\right)}"," ",0,"675/4*x^5+2025/2*x^4+47535/16*x^3+194881/32*x^2+766807/64*x-456533/128/(2*x-1)+302379/32*ln(2*x-1)","A"
1577,1,37,36,0.007000," ","int((3*x+2)^2*(5*x+3)^3/(1-2*x)^2,x)","\frac{1125 x^{4}}{16}+\frac{775 x^{3}}{2}+\frac{35135 x^{2}}{32}+\frac{41537 x}{16}+\frac{144837 \ln \left(2 x -1\right)}{64}-\frac{65219}{64 \left(2 x -1\right)}"," ",0,"1125/16*x^4+775/2*x^3+35135/32*x^2+41537/16*x-65219/64/(2*x-1)+144837/64*ln(2*x-1)","A"
1578,1,32,31,0.006000," ","int((3*x+2)*(5*x+3)^3/(1-2*x)^2,x)","\frac{125 x^{3}}{4}+\frac{325 x^{2}}{2}+\frac{8245 x}{16}+\frac{8349 \ln \left(2 x -1\right)}{16}-\frac{9317}{32 \left(2 x -1\right)}"," ",0,"125/4*x^3+325/2*x^2+8245/16*x-9317/32/(2*x-1)+8349/16*ln(2*x-1)","A"
1579,1,27,26,0.006000," ","int((5*x+3)^3/(1-2*x)^2,x)","\frac{125 x^{2}}{8}+\frac{175 x}{2}+\frac{1815 \ln \left(2 x -1\right)}{16}-\frac{1331}{16 \left(2 x -1\right)}"," ",0,"125/8*x^2+175/2*x-1331/16/(2*x-1)+1815/16*ln(2*x-1)","A"
1580,1,30,29,0.007000," ","int((5*x+3)^3/(1-2*x)^2/(3*x+2),x)","\frac{125 x}{12}+\frac{1089 \ln \left(2 x -1\right)}{49}-\frac{\ln \left(3 x +2\right)}{441}-\frac{1331}{56 \left(2 x -1\right)}"," ",0,"125/12*x-1/441*ln(3*x+2)-1331/56/(2*x-1)+1089/49*ln(2*x-1)","A"
1581,1,36,35,0.010000," ","int((5*x+3)^3/(1-2*x)^2/(3*x+2)^2,x)","\frac{4719 \ln \left(2 x -1\right)}{1372}+\frac{101 \ln \left(3 x +2\right)}{3087}+\frac{1}{1323 x +882}-\frac{1331}{196 \left(2 x -1\right)}"," ",0,"1/441/(3*x+2)+101/3087*ln(3*x+2)-1331/196/(2*x-1)+4719/1372*ln(2*x-1)","A"
1582,1,45,44,0.009000," ","int((5*x+3)^3/(1-2*x)^2/(3*x+2)^3,x)","\frac{363 \ln \left(2 x -1\right)}{2401}-\frac{363 \ln \left(3 x +2\right)}{2401}+\frac{1}{882 \left(3 x +2\right)^{2}}-\frac{101}{3087 \left(3 x +2\right)}-\frac{1331}{686 \left(2 x -1\right)}"," ",0,"1/882/(3*x+2)^2-101/3087/(3*x+2)-363/2401*ln(3*x+2)-1331/686/(2*x-1)+363/2401*ln(2*x-1)","A"
1583,1,54,53,0.010000," ","int((5*x+3)^3/(1-2*x)^2/(3*x+2)^4,x)","-\frac{3267 \ln \left(2 x -1\right)}{16807}+\frac{3267 \ln \left(3 x +2\right)}{16807}+\frac{1}{1323 \left(3 x +2\right)^{3}}-\frac{101}{6174 \left(3 x +2\right)^{2}}+\frac{363}{2401 \left(3 x +2\right)}-\frac{1331}{2401 \left(2 x -1\right)}"," ",0,"1/1323/(3*x+2)^3-101/6174/(3*x+2)^2+363/2401/(3*x+2)+3267/16807*ln(3*x+2)-1331/2401/(2*x-1)-3267/16807*ln(2*x-1)","A"
1584,1,63,62,0.011000," ","int((5*x+3)^3/(1-2*x)^2/(3*x+2)^5,x)","-\frac{14520 \ln \left(2 x -1\right)}{117649}+\frac{14520 \ln \left(3 x +2\right)}{117649}+\frac{1}{1764 \left(3 x +2\right)^{4}}-\frac{101}{9261 \left(3 x +2\right)^{3}}+\frac{363}{4802 \left(3 x +2\right)^{2}}-\frac{3267}{16807 \left(3 x +2\right)}-\frac{2662}{16807 \left(2 x -1\right)}"," ",0,"1/1764/(3*x+2)^4-101/9261/(3*x+2)^3+363/4802/(3*x+2)^2-3267/16807/(3*x+2)+14520/117649*ln(3*x+2)-2662/16807/(2*x-1)-14520/117649*ln(2*x-1)","A"
1585,1,72,71,0.011000," ","int((5*x+3)^3/(1-2*x)^2/(3*x+2)^6,x)","-\frac{45012 \ln \left(2 x -1\right)}{823543}+\frac{45012 \ln \left(3 x +2\right)}{823543}+\frac{1}{2205 \left(3 x +2\right)^{5}}-\frac{101}{12348 \left(3 x +2\right)^{4}}+\frac{121}{2401 \left(3 x +2\right)^{3}}-\frac{3267}{33614 \left(3 x +2\right)^{2}}-\frac{14520}{117649 \left(3 x +2\right)}-\frac{5324}{117649 \left(2 x -1\right)}"," ",0,"1/2205/(3*x+2)^5-101/12348/(3*x+2)^4+121/2401/(3*x+2)^3-3267/33614/(3*x+2)^2-14520/117649/(3*x+2)+45012/823543*ln(3*x+2)-5324/117649/(2*x-1)-45012/823543*ln(2*x-1)","A"
1586,1,81,80,0.011000," ","int((5*x+3)^3/(1-2*x)^2/(3*x+2)^7,x)","-\frac{17424 \ln \left(2 x -1\right)}{823543}+\frac{17424 \ln \left(3 x +2\right)}{823543}+\frac{1}{2646 \left(3 x +2\right)^{6}}-\frac{101}{15435 \left(3 x +2\right)^{5}}+\frac{363}{9604 \left(3 x +2\right)^{4}}-\frac{1089}{16807 \left(3 x +2\right)^{3}}-\frac{7260}{117649 \left(3 x +2\right)^{2}}-\frac{45012}{823543 \left(3 x +2\right)}-\frac{10648}{823543 \left(2 x -1\right)}"," ",0,"1/2646/(3*x+2)^6-101/15435/(3*x+2)^5+363/9604/(3*x+2)^4-1089/16807/(3*x+2)^3-7260/117649/(3*x+2)^2-45012/823543/(3*x+2)+17424/823543*ln(3*x+2)-10648/823543/(2*x-1)-17424/823543*ln(2*x-1)","A"
1587,1,90,89,0.011000," ","int((5*x+3)^3/(1-2*x)^2/(3*x+2)^8,x)","-\frac{307824 \ln \left(2 x -1\right)}{40353607}+\frac{307824 \ln \left(3 x +2\right)}{40353607}+\frac{1}{3087 \left(3 x +2\right)^{7}}-\frac{101}{18522 \left(3 x +2\right)^{6}}+\frac{363}{12005 \left(3 x +2\right)^{5}}-\frac{3267}{67228 \left(3 x +2\right)^{4}}-\frac{4840}{117649 \left(3 x +2\right)^{3}}-\frac{22506}{823543 \left(3 x +2\right)^{2}}-\frac{17424}{823543 \left(3 x +2\right)}-\frac{21296}{5764801 \left(2 x -1\right)}"," ",0,"1/3087/(3*x+2)^7-101/18522/(3*x+2)^6+363/12005/(3*x+2)^5-3267/67228/(3*x+2)^4-4840/117649/(3*x+2)^3-22506/823543/(3*x+2)^2-17424/823543/(3*x+2)+307824/40353607*ln(3*x+2)-21296/5764801/(2*x-1)-307824/40353607*ln(2*x-1)","A"
1588,1,55,54,0.008000," ","int((3*x+2)^8/(1-2*x)^2/(5*x+3),x)","\frac{2187 x^{6}}{40}+\frac{94041 x^{5}}{250}+\frac{9899091 x^{4}}{8000}+\frac{26773659 x^{3}}{10000}+\frac{1839811401 x^{2}}{400000}+\frac{2041906293 x}{250000}+\frac{188591347 \ln \left(2 x -1\right)}{30976}+\frac{\ln \left(5 x +3\right)}{9453125}-\frac{5764801}{2816 \left(2 x -1\right)}"," ",0,"2187/40*x^6+94041/250*x^5+9899091/8000*x^4+26773659/10000*x^3+1839811401/400000*x^2+2041906293/250000*x+1/9453125*ln(5*x+3)-5764801/2816/(2*x-1)+188591347/30976*ln(2*x-1)","A"
1589,1,50,49,0.008000," ","int((3*x+2)^7/(1-2*x)^2/(5*x+3),x)","\frac{2187 x^{5}}{100}+\frac{13851 x^{4}}{100}+\frac{853659 x^{3}}{2000}+\frac{18237069 x^{2}}{20000}+\frac{370109547 x}{200000}+\frac{5764801 \ln \left(2 x -1\right)}{3872}+\frac{\ln \left(5 x +3\right)}{1890625}-\frac{823543}{1408 \left(2 x -1\right)}"," ",0,"2187/100*x^5+13851/100*x^4+853659/2000*x^3+18237069/20000*x^2+370109547/200000*x+1/1890625*ln(5*x+3)-823543/1408/(2*x-1)+5764801/3872*ln(2*x-1)","A"
1590,1,45,44,0.008000," ","int((3*x+2)^6/(1-2*x)^2/(5*x+3),x)","\frac{729 x^{4}}{80}+\frac{2673 x^{3}}{50}+\frac{639819 x^{2}}{4000}+\frac{3946293 x}{10000}+\frac{2739541 \ln \left(2 x -1\right)}{7744}+\frac{\ln \left(5 x +3\right)}{378125}-\frac{117649}{704 \left(2 x -1\right)}"," ",0,"729/80*x^4+2673/50*x^3+639819/4000*x^2+3946293/10000*x+1/378125*ln(5*x+3)-117649/704/(2*x-1)+2739541/7744*ln(2*x-1)","A"
1591,1,40,39,0.009000," ","int((3*x+2)^5/(1-2*x)^2/(5*x+3),x)","\frac{81 x^{3}}{20}+\frac{567 x^{2}}{25}+\frac{152793 x}{2000}+\frac{156065 \ln \left(2 x -1\right)}{1936}+\frac{\ln \left(5 x +3\right)}{75625}-\frac{16807}{352 \left(2 x -1\right)}"," ",0,"81/20*x^3+567/25*x^2+152793/2000*x+1/75625*ln(5*x+3)-16807/352/(2*x-1)+156065/1936*ln(2*x-1)","A"
1592,1,35,34,0.009000," ","int((3*x+2)^4/(1-2*x)^2/(5*x+3),x)","\frac{81 x^{2}}{40}+\frac{621 x}{50}+\frac{33271 \ln \left(2 x -1\right)}{1936}+\frac{\ln \left(5 x +3\right)}{15125}-\frac{2401}{176 \left(2 x -1\right)}"," ",0,"81/40*x^2+621/50*x+1/15125*ln(5*x+3)-2401/176/(2*x-1)+33271/1936*ln(2*x-1)","A"
1593,1,30,29,0.008000," ","int((3*x+2)^3/(1-2*x)^2/(5*x+3),x)","\frac{27 x}{20}+\frac{392 \ln \left(2 x -1\right)}{121}+\frac{\ln \left(5 x +3\right)}{3025}-\frac{343}{88 \left(2 x -1\right)}"," ",0,"27/20*x+1/3025*ln(5*x+3)-343/88/(2*x-1)+392/121*ln(2*x-1)","A"
1594,1,27,26,0.009000," ","int((3*x+2)^2/(1-2*x)^2/(5*x+3),x)","\frac{217 \ln \left(2 x -1\right)}{484}+\frac{\ln \left(5 x +3\right)}{605}-\frac{49}{44 \left(2 x -1\right)}"," ",0,"1/605*ln(5*x+3)-49/44/(2*x-1)+217/484*ln(2*x-1)","A"
1595,1,27,26,0.007000," ","int((3*x+2)/(1-2*x)^2/(5*x+3),x)","-\frac{\ln \left(2 x -1\right)}{121}+\frac{\ln \left(5 x +3\right)}{121}-\frac{7}{22 \left(2 x -1\right)}"," ",0,"1/121*ln(5*x+3)-7/22/(2*x-1)-1/121*ln(2*x-1)","A"
1596,1,27,26,0.007000," ","int(1/(1-2*x)^2/(5*x+3),x)","-\frac{5 \ln \left(2 x -1\right)}{121}+\frac{5 \ln \left(5 x +3\right)}{121}-\frac{1}{11 \left(2 x -1\right)}"," ",0,"5/121*ln(5*x+3)-1/11/(2*x-1)-5/121*ln(2*x-1)","A"
1597,1,35,34,0.008000," ","int(1/(1-2*x)^2/(3*x+2)/(5*x+3),x)","-\frac{136 \ln \left(2 x -1\right)}{5929}-\frac{9 \ln \left(3 x +2\right)}{49}+\frac{25 \ln \left(5 x +3\right)}{121}-\frac{2}{77 \left(2 x -1\right)}"," ",0,"25/121*ln(5*x+3)-9/49*ln(3*x+2)-2/77/(2*x-1)-136/5929*ln(2*x-1)","A"
1598,1,44,43,0.010000," ","int(1/(1-2*x)^2/(3*x+2)^2/(5*x+3),x)","-\frac{404 \ln \left(2 x -1\right)}{41503}-\frac{351 \ln \left(3 x +2\right)}{343}+\frac{125 \ln \left(5 x +3\right)}{121}+\frac{9}{49 \left(3 x +2\right)}-\frac{4}{539 \left(2 x -1\right)}"," ",0,"125/121*ln(5*x+3)+9/49/(3*x+2)-351/343*ln(3*x+2)-4/539/(2*x-1)-404/41503*ln(2*x-1)","A"
1599,1,53,52,0.013000," ","int(1/(1-2*x)^2/(3*x+2)^3/(5*x+3),x)","-\frac{1072 \ln \left(2 x -1\right)}{290521}-\frac{12393 \ln \left(3 x +2\right)}{2401}+\frac{625 \ln \left(5 x +3\right)}{121}+\frac{9}{98 \left(3 x +2\right)^{2}}+\frac{351}{343 \left(3 x +2\right)}-\frac{8}{3773 \left(2 x -1\right)}"," ",0,"625/121*ln(5*x+3)+9/98/(3*x+2)^2+351/343/(3*x+2)-12393/2401*ln(3*x+2)-8/3773/(2*x-1)-1072/290521*ln(2*x-1)","A"
1600,1,62,61,0.011000," ","int(1/(1-2*x)^2/(3*x+2)^4/(5*x+3),x)","-\frac{2672 \ln \left(2 x -1\right)}{2033647}-\frac{434043 \ln \left(3 x +2\right)}{16807}+\frac{3125 \ln \left(5 x +3\right)}{121}+\frac{3}{49 \left(3 x +2\right)^{3}}+\frac{351}{686 \left(3 x +2\right)^{2}}+\frac{12393}{2401 \left(3 x +2\right)}-\frac{16}{26411 \left(2 x -1\right)}"," ",0,"3125/121*ln(5*x+3)+3/49/(3*x+2)^3+351/686/(3*x+2)^2+12393/2401/(3*x+2)-434043/16807*ln(3*x+2)-16/26411/(2*x-1)-2672/2033647*ln(2*x-1)","A"
1601,1,71,70,0.010000," ","int(1/(1-2*x)^2/(3*x+2)^5/(5*x+3),x)","-\frac{6400 \ln \left(2 x -1\right)}{14235529}-\frac{15192225 \ln \left(3 x +2\right)}{117649}+\frac{15625 \ln \left(5 x +3\right)}{121}+\frac{9}{196 \left(3 x +2\right)^{4}}+\frac{117}{343 \left(3 x +2\right)^{3}}+\frac{12393}{4802 \left(3 x +2\right)^{2}}+\frac{434043}{16807 \left(3 x +2\right)}-\frac{32}{184877 \left(2 x -1\right)}"," ",0,"15625/121*ln(5*x+3)+9/196/(3*x+2)^4+117/343/(3*x+2)^3+12393/4802/(3*x+2)^2+434043/16807/(3*x+2)-15192225/117649*ln(3*x+2)-32/184877/(2*x-1)-6400/14235529*ln(2*x-1)","A"
1602,1,80,79,0.012000," ","int(1/(1-2*x)^2/(3*x+2)^6/(5*x+3),x)","-\frac{14912 \ln \left(2 x -1\right)}{99648703}-\frac{531729603 \ln \left(3 x +2\right)}{823543}+\frac{78125 \ln \left(5 x +3\right)}{121}+\frac{9}{245 \left(3 x +2\right)^{5}}+\frac{351}{1372 \left(3 x +2\right)^{4}}+\frac{4131}{2401 \left(3 x +2\right)^{3}}+\frac{434043}{33614 \left(3 x +2\right)^{2}}+\frac{15192225}{117649 \left(3 x +2\right)}-\frac{64}{1294139 \left(2 x -1\right)}"," ",0,"78125/121*ln(5*x+3)+9/245/(3*x+2)^5+351/1372/(3*x+2)^4+4131/2401/(3*x+2)^3+434043/33614/(3*x+2)^2+15192225/117649/(3*x+2)-531729603/823543*ln(3*x+2)-64/1294139/(2*x-1)-14912/99648703*ln(2*x-1)","A"
1603,1,59,58,0.010000," ","int((3*x+2)^8/(1-2*x)^2/(5*x+3)^2,x)","\frac{6561 x^{5}}{500}+\frac{168399 x^{4}}{2000}+\frac{2626101 x^{3}}{10000}+\frac{14171517 x^{2}}{25000}+\frac{231915717 x}{200000}+\frac{79883671 \ln \left(2 x -1\right)}{85184}+\frac{268 \ln \left(5 x +3\right)}{103984375}-\frac{1}{9453125 \left(5 x +3\right)}-\frac{5764801}{15488 \left(2 x -1\right)}"," ",0,"6561/500*x^5+168399/2000*x^4+2626101/10000*x^3+14171517/25000*x^2+231915717/200000*x-1/9453125/(5*x+3)+268/103984375*ln(5*x+3)-5764801/15488/(2*x-1)+79883671/85184*ln(2*x-1)","A"
1604,1,54,53,0.010000," ","int((3*x+2)^7/(1-2*x)^2/(5*x+3)^2,x)","\frac{2187 x^{4}}{400}+\frac{16281 x^{3}}{500}+\frac{1974861 x^{2}}{20000}+\frac{6156243 x}{25000}+\frac{18941489 \ln \left(2 x -1\right)}{85184}+\frac{47 \ln \left(5 x +3\right)}{4159375}-\frac{1}{1890625 \left(5 x +3\right)}-\frac{823543}{7744 \left(2 x -1\right)}"," ",0,"2187/400*x^4+16281/500*x^3+1974861/20000*x^2+6156243/25000*x-1/1890625/(5*x+3)+47/4159375*ln(5*x+3)-823543/7744/(2*x-1)+18941489/85184*ln(2*x-1)","A"
1605,1,49,48,0.010000," ","int((3*x+2)^6/(1-2*x)^2/(5*x+3)^2,x)","\frac{243 x^{3}}{100}+\frac{13851 x^{2}}{1000}+\frac{473607 x}{10000}+\frac{67228 \ln \left(2 x -1\right)}{1331}+\frac{202 \ln \left(5 x +3\right)}{4159375}-\frac{1}{378125 \left(5 x +3\right)}-\frac{117649}{3872 \left(2 x -1\right)}"," ",0,"243/100*x^3+13851/1000*x^2+473607/10000*x-1/378125/(5*x+3)+202/4159375*ln(5*x+3)-117649/3872/(2*x-1)+67228/1331*ln(2*x-1)","A"
1606,1,44,43,0.010000," ","int((3*x+2)^5/(1-2*x)^2/(5*x+3)^2,x)","\frac{243 x^{2}}{200}+\frac{3807 x}{500}+\frac{228095 \ln \left(2 x -1\right)}{21296}+\frac{169 \ln \left(5 x +3\right)}{831875}-\frac{1}{75625 \left(5 x +3\right)}-\frac{16807}{1936 \left(2 x -1\right)}"," ",0,"243/200*x^2+3807/500*x-1/75625/(5*x+3)+169/831875*ln(5*x+3)-16807/1936/(2*x-1)+228095/21296*ln(2*x-1)","A"
1607,1,39,38,0.009000," ","int((3*x+2)^4/(1-2*x)^2/(5*x+3)^2,x)","\frac{81 x}{100}+\frac{10633 \ln \left(2 x -1\right)}{5324}+\frac{136 \ln \left(5 x +3\right)}{166375}-\frac{1}{15125 \left(5 x +3\right)}-\frac{2401}{968 \left(2 x -1\right)}"," ",0,"81/100*x-1/15125/(5*x+3)+136/166375*ln(5*x+3)-2401/968/(2*x-1)+10633/5324*ln(2*x-1)","A"
1608,1,36,35,0.008000," ","int((3*x+2)^3/(1-2*x)^2/(5*x+3)^2,x)","\frac{1421 \ln \left(2 x -1\right)}{5324}+\frac{103 \ln \left(5 x +3\right)}{33275}-\frac{1}{3025 \left(5 x +3\right)}-\frac{343}{484 \left(2 x -1\right)}"," ",0,"-1/3025/(5*x+3)+103/33275*ln(5*x+3)-343/484/(2*x-1)+1421/5324*ln(2*x-1)","A"
1609,1,36,35,0.008000," ","int((3*x+2)^2/(1-2*x)^2/(5*x+3)^2,x)","-\frac{14 \ln \left(2 x -1\right)}{1331}+\frac{14 \ln \left(5 x +3\right)}{1331}-\frac{1}{605 \left(5 x +3\right)}-\frac{49}{242 \left(2 x -1\right)}"," ",0,"-1/605/(5*x+3)+14/1331*ln(5*x+3)-49/242/(2*x-1)-14/1331*ln(2*x-1)","A"
1610,1,36,35,0.010000," ","int((3*x+2)/(1-2*x)^2/(5*x+3)^2,x)","-\frac{37 \ln \left(2 x -1\right)}{1331}+\frac{37 \ln \left(5 x +3\right)}{1331}-\frac{1}{121 \left(5 x +3\right)}-\frac{7}{121 \left(2 x -1\right)}"," ",0,"-1/121/(5*x+3)+37/1331*ln(5*x+3)-7/121/(2*x-1)-37/1331*ln(2*x-1)","A"
1611,1,36,35,0.011000," ","int(1/(1-2*x)^2/(5*x+3)^2,x)","-\frac{20 \ln \left(2 x -1\right)}{1331}+\frac{20 \ln \left(5 x +3\right)}{1331}-\frac{5}{121 \left(5 x +3\right)}-\frac{2}{121 \left(2 x -1\right)}"," ",0,"-5/121/(5*x+3)+20/1331*ln(5*x+3)-2/121/(2*x-1)-20/1331*ln(2*x-1)","A"
1612,1,44,43,0.011000," ","int(1/(1-2*x)^2/(3*x+2)/(5*x+3)^2,x)","-\frac{412 \ln \left(2 x -1\right)}{65219}+\frac{27 \ln \left(3 x +2\right)}{49}-\frac{725 \ln \left(5 x +3\right)}{1331}-\frac{25}{121 \left(5 x +3\right)}-\frac{4}{847 \left(2 x -1\right)}"," ",0,"-25/121/(5*x+3)-725/1331*ln(5*x+3)+27/49*ln(3*x+2)-4/847/(2*x-1)-412/65219*ln(2*x-1)","A"
1613,1,53,52,0.011000," ","int(1/(1-2*x)^2/(3*x+2)^2/(5*x+3)^2,x)","-\frac{1088 \ln \left(2 x -1\right)}{456533}+\frac{1998 \ln \left(3 x +2\right)}{343}-\frac{7750 \ln \left(5 x +3\right)}{1331}-\frac{125}{121 \left(5 x +3\right)}-\frac{27}{49 \left(3 x +2\right)}-\frac{8}{5929 \left(2 x -1\right)}"," ",0,"-125/121/(5*x+3)-7750/1331*ln(5*x+3)-27/49/(3*x+2)+1998/343*ln(3*x+2)-8/5929/(2*x-1)-1088/456533*ln(2*x-1)","A"
1614,1,62,61,0.013000," ","int(1/(1-2*x)^2/(3*x+2)^3/(5*x+3)^2,x)","-\frac{2704 \ln \left(2 x -1\right)}{3195731}+\frac{107109 \ln \left(3 x +2\right)}{2401}-\frac{59375 \ln \left(5 x +3\right)}{1331}-\frac{625}{121 \left(5 x +3\right)}-\frac{27}{98 \left(3 x +2\right)^{2}}-\frac{1998}{343 \left(3 x +2\right)}-\frac{16}{41503 \left(2 x -1\right)}"," ",0,"-625/121/(5*x+3)-59375/1331*ln(5*x+3)-27/98/(3*x+2)^2-1998/343/(3*x+2)+107109/2401*ln(3*x+2)-16/41503/(2*x-1)-2704/3195731*ln(2*x-1)","A"
1615,1,71,70,0.012000," ","int(1/(1-2*x)^2/(3*x+2)^4/(5*x+3)^2,x)","-\frac{6464 \ln \left(2 x -1\right)}{22370117}+\frac{5050944 \ln \left(3 x +2\right)}{16807}-\frac{400000 \ln \left(5 x +3\right)}{1331}-\frac{3125}{121 \left(5 x +3\right)}-\frac{9}{49 \left(3 x +2\right)^{3}}-\frac{999}{343 \left(3 x +2\right)^{2}}-\frac{107109}{2401 \left(3 x +2\right)}-\frac{32}{290521 \left(2 x -1\right)}"," ",0,"-3125/121/(5*x+3)-400000/1331*ln(5*x+3)-9/49/(3*x+2)^3-999/343/(3*x+2)^2-107109/2401/(3*x+2)+5050944/16807*ln(3*x+2)-32/290521/(2*x-1)-6464/22370117*ln(2*x-1)","A"
1616,1,80,79,0.016000," ","int(1/(1-2*x)^2/(3*x+2)^5/(5*x+3)^2,x)","-\frac{15040 \ln \left(2 x -1\right)}{156590819}+\frac{222359715 \ln \left(3 x +2\right)}{117649}-\frac{2515625 \ln \left(5 x +3\right)}{1331}-\frac{15625}{121 \left(5 x +3\right)}-\frac{27}{196 \left(3 x +2\right)^{4}}-\frac{666}{343 \left(3 x +2\right)^{3}}-\frac{107109}{4802 \left(3 x +2\right)^{2}}-\frac{5050944}{16807 \left(3 x +2\right)}-\frac{64}{2033647 \left(2 x -1\right)}"," ",0,"-15625/121/(5*x+3)-2515625/1331*ln(5*x+3)-27/196/(3*x+2)^4-666/343/(3*x+2)^3-107109/4802/(3*x+2)^2-5050944/16807/(3*x+2)+222359715/117649*ln(3*x+2)-64/2033647/(2*x-1)-15040/156590819*ln(2*x-1)","A"
1617,1,63,62,0.010000," ","int((3*x+2)^8/(1-2*x)^2/(5*x+3)^3,x)","\frac{6561 x^{4}}{2000}+\frac{12393 x^{3}}{625}+\frac{6093711 x^{2}}{100000}+\frac{7680987 x}{50000}+\frac{130943337 \ln \left(2 x -1\right)}{937024}+\frac{6312 \ln \left(5 x +3\right)}{228765625}-\frac{1}{18906250 \left(5 x +3\right)^{2}}-\frac{268}{103984375 \left(5 x +3\right)}-\frac{5764801}{85184 \left(2 x -1\right)}"," ",0,"6561/2000*x^4+12393/625*x^3+6093711/100000*x^2+7680987/50000*x-1/18906250/(5*x+3)^2-268/103984375/(5*x+3)+6312/228765625*ln(5*x+3)-5764801/85184/(2*x-1)+130943337/937024*ln(2*x-1)","A"
1618,1,58,57,0.010000," ","int((3*x+2)^7/(1-2*x)^2/(5*x+3)^3,x)","\frac{729 x^{3}}{500}+\frac{21141 x^{2}}{2500}+\frac{1467477 x}{50000}+\frac{7411887 \ln \left(2 x -1\right)}{234256}+\frac{4761 \ln \left(5 x +3\right)}{45753125}-\frac{1}{3781250 \left(5 x +3\right)^{2}}-\frac{47}{4159375 \left(5 x +3\right)}-\frac{823543}{42592 \left(2 x -1\right)}"," ",0,"729/500*x^3+21141/2500*x^2+1467477/50000*x-1/3781250/(5*x+3)^2-47/4159375/(5*x+3)+4761/45753125*ln(5*x+3)-823543/42592/(2*x-1)+7411887/234256*ln(2*x-1)","A"
1619,1,53,52,0.012000," ","int((3*x+2)^6/(1-2*x)^2/(5*x+3)^3,x)","\frac{729 x^{2}}{1000}+\frac{2916 x}{625}+\frac{1563051 \ln \left(2 x -1\right)}{234256}+\frac{17139 \ln \left(5 x +3\right)}{45753125}-\frac{1}{756250 \left(5 x +3\right)^{2}}-\frac{202}{4159375 \left(5 x +3\right)}-\frac{117649}{21296 \left(2 x -1\right)}"," ",0,"729/1000*x^2+2916/625*x-1/756250/(5*x+3)^2-202/4159375/(5*x+3)+17139/45753125*ln(5*x+3)-117649/21296/(2*x-1)+1563051/234256*ln(2*x-1)","A"
1620,1,48,47,0.011000," ","int((3*x+2)^5/(1-2*x)^2/(5*x+3)^3,x)","\frac{243 x}{500}+\frac{36015 \ln \left(2 x -1\right)}{29282}+\frac{11562 \ln \left(5 x +3\right)}{9150625}-\frac{1}{151250 \left(5 x +3\right)^{2}}-\frac{169}{831875 \left(5 x +3\right)}-\frac{16807}{10648 \left(2 x -1\right)}"," ",0,"243/500*x-1/151250/(5*x+3)^2-169/831875/(5*x+3)+11562/9150625*ln(5*x+3)-16807/10648/(2*x-1)+36015/29282*ln(2*x-1)","A"
1621,1,45,44,0.010000," ","int((3*x+2)^4/(1-2*x)^2/(5*x+3)^3,x)","\frac{9261 \ln \left(2 x -1\right)}{58564}+\frac{7074 \ln \left(5 x +3\right)}{1830125}-\frac{1}{30250 \left(5 x +3\right)^{2}}-\frac{136}{166375 \left(5 x +3\right)}-\frac{2401}{5324 \left(2 x -1\right)}"," ",0,"-1/30250/(5*x+3)^2-136/166375/(5*x+3)+7074/1830125*ln(5*x+3)-2401/5324/(2*x-1)+9261/58564*ln(2*x-1)","A"
1622,1,45,44,0.010000," ","int((3*x+2)^3/(1-2*x)^2/(5*x+3)^3,x)","-\frac{147 \ln \left(2 x -1\right)}{14641}+\frac{147 \ln \left(5 x +3\right)}{14641}-\frac{1}{6050 \left(5 x +3\right)^{2}}-\frac{103}{33275 \left(5 x +3\right)}-\frac{343}{2662 \left(2 x -1\right)}"," ",0,"-1/6050/(5*x+3)^2-103/33275/(5*x+3)+147/14641*ln(5*x+3)-343/2662/(2*x-1)-147/14641*ln(2*x-1)","A"
1623,1,45,44,0.009000," ","int((3*x+2)^2/(1-2*x)^2/(5*x+3)^3,x)","-\frac{273 \ln \left(2 x -1\right)}{14641}+\frac{273 \ln \left(5 x +3\right)}{14641}-\frac{1}{1210 \left(5 x +3\right)^{2}}-\frac{14}{1331 \left(5 x +3\right)}-\frac{49}{1331 \left(2 x -1\right)}"," ",0,"-1/1210/(5*x+3)^2-14/1331/(5*x+3)+273/14641*ln(5*x+3)-49/1331/(2*x-1)-273/14641*ln(2*x-1)","A"
1624,1,45,44,0.009000," ","int((3*x+2)/(1-2*x)^2/(5*x+3)^3,x)","-\frac{144 \ln \left(2 x -1\right)}{14641}+\frac{144 \ln \left(5 x +3\right)}{14641}-\frac{1}{242 \left(5 x +3\right)^{2}}-\frac{37}{1331 \left(5 x +3\right)}-\frac{14}{1331 \left(2 x -1\right)}"," ",0,"-1/242/(5*x+3)^2-37/1331/(5*x+3)+144/14641*ln(5*x+3)-14/1331/(2*x-1)-144/14641*ln(2*x-1)","A"
1625,1,45,44,0.009000," ","int(1/(1-2*x)^2/(5*x+3)^3,x)","-\frac{60 \ln \left(2 x -1\right)}{14641}+\frac{60 \ln \left(5 x +3\right)}{14641}-\frac{5}{242 \left(5 x +3\right)^{2}}-\frac{20}{1331 \left(5 x +3\right)}-\frac{4}{1331 \left(2 x -1\right)}"," ",0,"-5/242/(5*x+3)^2-20/1331/(5*x+3)+60/14641*ln(5*x+3)-4/1331/(2*x-1)-60/14641*ln(2*x-1)","A"
1626,1,53,52,0.012000," ","int(1/(1-2*x)^2/(3*x+2)/(5*x+3)^3,x)","-\frac{1104 \ln \left(2 x -1\right)}{717409}-\frac{81 \ln \left(3 x +2\right)}{49}+\frac{24225 \ln \left(5 x +3\right)}{14641}-\frac{25}{242 \left(5 x +3\right)^{2}}+\frac{725}{1331 \left(5 x +3\right)}-\frac{8}{9317 \left(2 x -1\right)}"," ",0,"-25/242/(5*x+3)^2+725/1331/(5*x+3)+24225/14641*ln(5*x+3)-81/49*ln(3*x+2)-8/9317/(2*x-1)-1104/717409*ln(2*x-1)","A"
1627,1,62,61,0.015000," ","int(1/(1-2*x)^2/(3*x+2)^2/(5*x+3)^3,x)","-\frac{2736 \ln \left(2 x -1\right)}{5021863}-\frac{8829 \ln \left(3 x +2\right)}{343}+\frac{376875 \ln \left(5 x +3\right)}{14641}-\frac{125}{242 \left(5 x +3\right)^{2}}+\frac{7750}{1331 \left(5 x +3\right)}+\frac{81}{49 \left(3 x +2\right)}-\frac{16}{65219 \left(2 x -1\right)}"," ",0,"-125/242/(5*x+3)^2+7750/1331/(5*x+3)+376875/14641*ln(5*x+3)+81/49/(3*x+2)-8829/343*ln(3*x+2)-16/65219/(2*x-1)-2736/5021863*ln(2*x-1)","A"
1628,1,71,70,0.013000," ","int(1/(1-2*x)^2/(3*x+2)^3/(5*x+3)^3,x)","-\frac{6528 \ln \left(2 x -1\right)}{35153041}-\frac{630342 \ln \left(3 x +2\right)}{2401}+\frac{3843750 \ln \left(5 x +3\right)}{14641}-\frac{625}{242 \left(5 x +3\right)^{2}}+\frac{59375}{1331 \left(5 x +3\right)}+\frac{81}{98 \left(3 x +2\right)^{2}}+\frac{8829}{343 \left(3 x +2\right)}-\frac{32}{456533 \left(2 x -1\right)}"," ",0,"-625/242/(5*x+3)^2+59375/1331/(5*x+3)+3843750/14641*ln(5*x+3)+81/98/(3*x+2)^2+8829/343/(3*x+2)-630342/2401*ln(3*x+2)-32/456533/(2*x-1)-6528/35153041*ln(2*x-1)","A"
1629,1,80,79,0.013000," ","int(1/(1-2*x)^2/(3*x+2)^4/(5*x+3)^3,x)","-\frac{15168 \ln \left(2 x -1\right)}{246071287}-\frac{37214802 \ln \left(3 x +2\right)}{16807}+\frac{32418750 \ln \left(5 x +3\right)}{14641}-\frac{3125}{242 \left(5 x +3\right)^{2}}+\frac{400000}{1331 \left(5 x +3\right)}+\frac{27}{49 \left(3 x +2\right)^{3}}+\frac{8829}{686 \left(3 x +2\right)^{2}}+\frac{630342}{2401 \left(3 x +2\right)}-\frac{64}{3195731 \left(2 x -1\right)}"," ",0,"-3125/242/(5*x+3)^2+400000/1331/(5*x+3)+32418750/14641*ln(5*x+3)+27/49/(3*x+2)^3+8829/686/(3*x+2)^2+630342/2401/(3*x+2)-37214802/16807*ln(3*x+2)-64/3195731/(2*x-1)-15168/246071287*ln(2*x-1)","A"
1630,1,61,60,0.007000," ","int((3*x+2)^8*(5*x+3)/(1-2*x)^3,x)","-\frac{32805 x^{7}}{56}-\frac{162567 x^{6}}{32}-\frac{213597 x^{5}}{10}-\frac{7568235 x^{4}}{128}-\frac{16042509 x^{3}}{128}-\frac{118841283 x^{2}}{512}-\frac{120864213 x}{256}-\frac{106237047 \ln \left(2 x -1\right)}{256}+\frac{63412811}{2048 \left(2 x -1\right)^{2}}+\frac{246239357}{1024 \left(2 x -1\right)}"," ",0,"-32805/56*x^7-162567/32*x^6-213597/10*x^5-7568235/128*x^4-16042509/128*x^3-118841283/512*x^2-120864213/256*x+63412811/2048/(2*x-1)^2+246239357/1024/(2*x-1)-106237047/256*ln(2*x-1)","A"
1631,1,56,55,0.007000," ","int((3*x+2)^7*(5*x+3)/(1-2*x)^3,x)","-\frac{3645 x^{6}}{16}-\frac{147987 x^{5}}{80}-\frac{235467 x^{4}}{32}-\frac{631611 x^{3}}{32}-\frac{10989621 x^{2}}{256}-\frac{24960933 x}{256}-\frac{23647449 \ln \left(2 x -1\right)}{256}+\frac{9058973}{1024 \left(2 x -1\right)^{2}}+\frac{15647317}{256 \left(2 x -1\right)}"," ",0,"-3645/16*x^6-147987/80*x^5-235467/32*x^4-631611/32*x^3-10989621/256*x^2-24960933/256*x+9058973/1024/(2*x-1)^2+15647317/256/(2*x-1)-23647449/256*ln(2*x-1)","A"
1632,1,51,50,0.007000," ","int((3*x+2)^6*(5*x+3)/(1-2*x)^3,x)","-\frac{729 x^{5}}{8}-\frac{44469 x^{4}}{64}-\frac{10611 x^{3}}{4}-\frac{461835 x^{2}}{64}-\frac{2431647 x}{128}-\frac{5078115 \ln \left(2 x -1\right)}{256}+\frac{1294139}{512 \left(2 x -1\right)^{2}}+\frac{3916031}{256 \left(2 x -1\right)}"," ",0,"-729/8*x^5-44469/64*x^4-10611/4*x^3-461835/64*x^2-2431647/128*x+1294139/512/(2*x-1)^2+3916031/256/(2*x-1)-5078115/256*ln(2*x-1)","A"
1633,1,46,45,0.007000," ","int((3*x+2)^5*(5*x+3)/(1-2*x)^3,x)","-\frac{1215 x^{4}}{32}-\frac{4401 x^{3}}{16}-\frac{16821 x^{2}}{16}-\frac{109089 x}{32}-\frac{519645 \ln \left(2 x -1\right)}{128}+\frac{184877}{256 \left(2 x -1\right)^{2}}+\frac{60025}{16 \left(2 x -1\right)}"," ",0,"-1215/32*x^4-4401/16*x^3-16821/16*x^2-109089/32*x+184877/256/(2*x-1)^2+60025/16/(2*x-1)-519645/128*ln(2*x-1)","A"
1634,1,41,40,0.008000," ","int((3*x+2)^4*(5*x+3)/(1-2*x)^3,x)","-\frac{135 x^{3}}{8}-\frac{3861 x^{2}}{32}-540 x -\frac{24843 \ln \left(2 x -1\right)}{32}+\frac{26411}{128 \left(2 x -1\right)^{2}}+\frac{57281}{64 \left(2 x -1\right)}"," ",0,"-135/8*x^3-3861/32*x^2-540*x+26411/128/(2*x-1)^2+57281/64/(2*x-1)-24843/32*ln(2*x-1)","A"
1635,1,36,35,0.007000," ","int((3*x+2)^3*(5*x+3)/(1-2*x)^3,x)","-\frac{135 x^{2}}{16}-\frac{1107 x}{16}-\frac{1071 \ln \left(2 x -1\right)}{8}+\frac{3773}{64 \left(2 x -1\right)^{2}}+\frac{3283}{16 \left(2 x -1\right)}"," ",0,"-135/16*x^2-1107/16*x+3773/64/(2*x-1)^2+3283/16/(2*x-1)-1071/8*ln(2*x-1)","A"
1636,1,31,30,0.007000," ","int((3*x+2)^2*(5*x+3)/(1-2*x)^3,x)","-\frac{45 x}{8}-\frac{309 \ln \left(2 x -1\right)}{16}+\frac{539}{32 \left(2 x -1\right)^{2}}+\frac{707}{16 \left(2 x -1\right)}"," ",0,"-45/8*x+539/32/(2*x-1)^2+707/16/(2*x-1)-309/16*ln(2*x-1)","A"
1637,1,28,27,0.007000," ","int((3*x+2)*(5*x+3)/(1-2*x)^3,x)","-\frac{15 \ln \left(2 x -1\right)}{8}+\frac{77}{16 \left(2 x -1\right)^{2}}+\frac{17}{2 \left(2 x -1\right)}"," ",0,"77/16/(2*x-1)^2+17/2/(2*x-1)-15/8*ln(2*x-1)","A"
1638,1,20,16,0.004000," ","int((5*x+3)/(1-2*x)^3,x)","\frac{11}{8 \left(2 x -1\right)^{2}}+\frac{5}{4 \left(2 x -1\right)}"," ",0,"11/8/(2*x-1)^2+5/4/(2*x-1)","A"
1639,1,36,35,0.009000," ","int((5*x+3)/(1-2*x)^3/(3*x+2),x)","\frac{3 \ln \left(2 x -1\right)}{343}-\frac{3 \ln \left(3 x +2\right)}{343}+\frac{11}{28 \left(2 x -1\right)^{2}}+\frac{1}{98 x -49}"," ",0,"-3/343*ln(3*x+2)+11/28/(2*x-1)^2+1/49/(2*x-1)+3/343*ln(2*x-1)","A"
1640,1,45,44,0.009000," ","int((5*x+3)/(1-2*x)^3/(3*x+2)^2,x)","-\frac{87 \ln \left(2 x -1\right)}{2401}+\frac{87 \ln \left(3 x +2\right)}{2401}+\frac{3}{343 \left(3 x +2\right)}+\frac{11}{98 \left(2 x -1\right)^{2}}-\frac{31}{343 \left(2 x -1\right)}"," ",0,"3/343/(3*x+2)+87/2401*ln(3*x+2)+11/98/(2*x-1)^2-31/343/(2*x-1)-87/2401*ln(2*x-1)","A"
1641,1,54,53,0.010000," ","int((5*x+3)/(1-2*x)^3/(3*x+2)^3,x)","-\frac{558 \ln \left(2 x -1\right)}{16807}+\frac{558 \ln \left(3 x +2\right)}{16807}+\frac{3}{686 \left(3 x +2\right)^{2}}-\frac{87}{2401 \left(3 x +2\right)}+\frac{11}{343 \left(2 x -1\right)^{2}}-\frac{128}{2401 \left(2 x -1\right)}"," ",0,"3/686/(3*x+2)^2-87/2401/(3*x+2)+558/16807*ln(3*x+2)+11/343/(2*x-1)^2-128/2401/(2*x-1)-558/16807*ln(2*x-1)","A"
1642,1,63,62,0.010000," ","int((5*x+3)/(1-2*x)^3/(3*x+2)^4,x)","-\frac{2280 \ln \left(2 x -1\right)}{117649}+\frac{2280 \ln \left(3 x +2\right)}{117649}+\frac{1}{343 \left(3 x +2\right)^{3}}-\frac{87}{4802 \left(3 x +2\right)^{2}}-\frac{558}{16807 \left(3 x +2\right)}+\frac{22}{2401 \left(2 x -1\right)^{2}}-\frac{388}{16807 \left(2 x -1\right)}"," ",0,"1/343/(3*x+2)^3-87/4802/(3*x+2)^2-558/16807/(3*x+2)+2280/117649*ln(3*x+2)+22/2401/(2*x-1)^2-388/16807/(2*x-1)-2280/117649*ln(2*x-1)","A"
1643,1,72,71,0.010000," ","int((5*x+3)/(1-2*x)^3/(3*x+2)^5,x)","-\frac{7680 \ln \left(2 x -1\right)}{823543}+\frac{7680 \ln \left(3 x +2\right)}{823543}+\frac{3}{1372 \left(3 x +2\right)^{4}}-\frac{29}{2401 \left(3 x +2\right)^{3}}-\frac{279}{16807 \left(3 x +2\right)^{2}}-\frac{2280}{117649 \left(3 x +2\right)}+\frac{44}{16807 \left(2 x -1\right)^{2}}-\frac{1040}{117649 \left(2 x -1\right)}"," ",0,"3/1372/(3*x+2)^4-29/2401/(3*x+2)^3-279/16807/(3*x+2)^2-2280/117649/(3*x+2)+7680/823543*ln(3*x+2)+44/16807/(2*x-1)^2-1040/117649/(2*x-1)-7680/823543*ln(2*x-1)","A"
1644,1,81,80,0.012000," ","int((5*x+3)/(1-2*x)^3/(3*x+2)^6,x)","-\frac{3312 \ln \left(2 x -1\right)}{823543}+\frac{3312 \ln \left(3 x +2\right)}{823543}+\frac{3}{1715 \left(3 x +2\right)^{5}}-\frac{87}{9604 \left(3 x +2\right)^{4}}-\frac{186}{16807 \left(3 x +2\right)^{3}}-\frac{1140}{117649 \left(3 x +2\right)^{2}}-\frac{7680}{823543 \left(3 x +2\right)}+\frac{88}{117649 \left(2 x -1\right)^{2}}-\frac{2608}{823543 \left(2 x -1\right)}"," ",0,"3/1715/(3*x+2)^5-87/9604/(3*x+2)^4-186/16807/(3*x+2)^3-1140/117649/(3*x+2)^2-7680/823543/(3*x+2)+3312/823543*ln(3*x+2)+88/117649/(2*x-1)^2-2608/823543/(2*x-1)-3312/823543*ln(2*x-1)","A"
1645,1,61,60,0.007000," ","int((3*x+2)^7*(5*x+3)^2/(1-2*x)^3,x)","-\frac{54675 x^{7}}{56}-\frac{268515 x^{6}}{32}-\frac{2798631 x^{5}}{80}-\frac{12299769 x^{4}}{128}-\frac{25895367 x^{3}}{128}-\frac{190742391 x^{2}}{512}-\frac{48280011 x}{64}-\frac{84589631 \ln \left(2 x -1\right)}{128}+\frac{99648703}{2048 \left(2 x -1\right)^{2}}+\frac{389535839}{1024 \left(2 x -1\right)}"," ",0,"-54675/56*x^7-268515/32*x^6-2798631/80*x^5-12299769/128*x^4-25895367/128*x^3-190742391/512*x^2-48280011/64*x+99648703/2048/(2*x-1)^2+389535839/1024/(2*x-1)-84589631/128*ln(2*x-1)","A"
1646,1,56,55,0.008000," ","int((3*x+2)^6*(5*x+3)^2/(1-2*x)^3,x)","-\frac{6075 x^{6}}{16}-\frac{48843 x^{5}}{16}-\frac{770067 x^{4}}{64}-\frac{1024389 x^{3}}{32}-\frac{17700255 x^{2}}{256}-\frac{39980457 x}{256}-\frac{18859855 \ln \left(2 x -1\right)}{128}+\frac{14235529}{1024 \left(2 x -1\right)^{2}}+\frac{12386759}{128 \left(2 x -1\right)}"," ",0,"-6075/16*x^6-48843/16*x^5-770067/64*x^4-1024389/32*x^3-17700255/256*x^2-39980457/256*x+14235529/1024/(2*x-1)^2+12386759/128/(2*x-1)-18859855/128*ln(2*x-1)","A"
1647,1,51,50,0.006000," ","int((3*x+2)^5*(5*x+3)^2/(1-2*x)^3,x)","-\frac{1215 x^{5}}{8}-\frac{73305 x^{4}}{64}-\frac{69273 x^{3}}{16}-\frac{747297 x^{2}}{64}-\frac{3907293 x}{128}-\frac{8117095 \ln \left(2 x -1\right)}{256}+\frac{2033647}{512 \left(2 x -1\right)^{2}}+\frac{6206585}{256 \left(2 x -1\right)}"," ",0,"-1215/8*x^5-73305/64*x^4-69273/16*x^3-747297/64*x^2-3907293/128*x+2033647/512/(2*x-1)^2+6206585/256/(2*x-1)-8117095/256*ln(2*x-1)","A"
1648,1,46,45,0.006000," ","int((3*x+2)^4*(5*x+3)^2/(1-2*x)^3,x)","-\frac{2025 x^{4}}{32}-\frac{7245 x^{3}}{16}-\frac{54783 x^{2}}{32}-\frac{176055 x}{32}-\frac{832951 \ln \left(2 x -1\right)}{128}+\frac{290521}{256 \left(2 x -1\right)^{2}}+\frac{381073}{64 \left(2 x -1\right)}"," ",0,"-2025/32*x^4-7245/16*x^3-54783/32*x^2-176055/32*x+290521/256/(2*x-1)^2+381073/64/(2*x-1)-832951/128*ln(2*x-1)","A"
1649,1,41,40,0.007000," ","int((3*x+2)^3*(5*x+3)^2/(1-2*x)^3,x)","-\frac{225 x^{3}}{8}-\frac{6345 x^{2}}{32}-\frac{14031 x}{16}-\frac{39977 \ln \left(2 x -1\right)}{32}+\frac{41503}{128 \left(2 x -1\right)^{2}}+\frac{91091}{64 \left(2 x -1\right)}"," ",0,"-225/8*x^3-6345/32*x^2-14031/16*x+41503/128/(2*x-1)^2+91091/64/(2*x-1)-39977/32*ln(2*x-1)","A"
1650,1,36,35,0.006000," ","int((3*x+2)^2*(5*x+3)^2/(1-2*x)^3,x)","-\frac{225 x^{2}}{16}-\frac{1815 x}{16}-\frac{3467 \ln \left(2 x -1\right)}{16}+\frac{5929}{64 \left(2 x -1\right)^{2}}+\frac{1309}{4 \left(2 x -1\right)}"," ",0,"-225/16*x^2-1815/16*x+5929/64/(2*x-1)^2+1309/4/(2*x-1)-3467/16*ln(2*x-1)","A"
1651,1,31,30,0.006000," ","int((3*x+2)*(5*x+3)^2/(1-2*x)^3,x)","-\frac{75 x}{8}-\frac{505 \ln \left(2 x -1\right)}{16}+\frac{847}{32 \left(2 x -1\right)^{2}}+\frac{1133}{16 \left(2 x -1\right)}"," ",0,"-75/8*x+847/32/(2*x-1)^2+1133/16/(2*x-1)-505/16*ln(2*x-1)","A"
1652,1,28,27,0.007000," ","int((5*x+3)^2/(1-2*x)^3,x)","-\frac{25 \ln \left(2 x -1\right)}{8}+\frac{121}{16 \left(2 x -1\right)^{2}}+\frac{55}{4 \left(2 x -1\right)}"," ",0,"121/16/(2*x-1)^2+55/4/(2*x-1)-25/8*ln(2*x-1)","A"
1653,1,36,35,0.006000," ","int((5*x+3)^2/(1-2*x)^3/(3*x+2),x)","-\frac{\ln \left(2 x -1\right)}{343}+\frac{\ln \left(3 x +2\right)}{343}+\frac{121}{56 \left(2 x -1\right)^{2}}+\frac{407}{196 \left(2 x -1\right)}"," ",0,"1/343*ln(3*x+2)+121/56/(2*x-1)^2+407/196/(2*x-1)-1/343*ln(2*x-1)","A"
1654,1,45,44,0.007000," ","int((5*x+3)^2/(1-2*x)^3/(3*x+2)^2,x)","\frac{64 \ln \left(2 x -1\right)}{2401}-\frac{64 \ln \left(3 x +2\right)}{2401}-\frac{1}{343 \left(3 x +2\right)}+\frac{121}{196 \left(2 x -1\right)^{2}}+\frac{22}{343 \left(2 x -1\right)}"," ",0,"-1/343/(3*x+2)-64/2401*ln(3*x+2)+121/196/(2*x-1)^2+22/343/(2*x-1)+64/2401*ln(2*x-1)","A"
1655,1,54,53,0.010000," ","int((5*x+3)^2/(1-2*x)^3/(3*x+2)^3,x)","-\frac{829 \ln \left(2 x -1\right)}{16807}+\frac{829 \ln \left(3 x +2\right)}{16807}-\frac{1}{686 \left(3 x +2\right)^{2}}+\frac{64}{2401 \left(3 x +2\right)}+\frac{121}{686 \left(2 x -1\right)^{2}}-\frac{319}{2401 \left(2 x -1\right)}"," ",0,"-1/686/(3*x+2)^2+64/2401/(3*x+2)+829/16807*ln(3*x+2)+121/686/(2*x-1)^2-319/2401/(2*x-1)-829/16807*ln(2*x-1)","A"
1656,1,63,62,0.010000," ","int((5*x+3)^2/(1-2*x)^3/(3*x+2)^4,x)","-\frac{5750 \ln \left(2 x -1\right)}{117649}+\frac{5750 \ln \left(3 x +2\right)}{117649}-\frac{1}{1029 \left(3 x +2\right)^{3}}+\frac{32}{2401 \left(3 x +2\right)^{2}}-\frac{829}{16807 \left(3 x +2\right)}+\frac{121}{2401 \left(2 x -1\right)^{2}}-\frac{1364}{16807 \left(2 x -1\right)}"," ",0,"-1/1029/(3*x+2)^3+32/2401/(3*x+2)^2-829/16807/(3*x+2)+5750/117649*ln(3*x+2)+121/2401/(2*x-1)^2-1364/16807/(2*x-1)-5750/117649*ln(2*x-1)","A"
1657,1,72,71,0.010000," ","int((5*x+3)^2/(1-2*x)^3/(3*x+2)^5,x)","-\frac{24040 \ln \left(2 x -1\right)}{823543}+\frac{24040 \ln \left(3 x +2\right)}{823543}-\frac{1}{1372 \left(3 x +2\right)^{4}}+\frac{64}{7203 \left(3 x +2\right)^{3}}-\frac{829}{33614 \left(3 x +2\right)^{2}}-\frac{5750}{117649 \left(3 x +2\right)}+\frac{242}{16807 \left(2 x -1\right)^{2}}-\frac{4180}{117649 \left(2 x -1\right)}"," ",0,"-1/1372/(3*x+2)^4+64/7203/(3*x+2)^3-829/33614/(3*x+2)^2-5750/117649/(3*x+2)+24040/823543*ln(3*x+2)+242/16807/(2*x-1)^2-4180/117649/(2*x-1)-24040/823543*ln(2*x-1)","A"
1658,1,81,80,0.012000," ","int((5*x+3)^2/(1-2*x)^3/(3*x+2)^6,x)","-\frac{11696 \ln \left(2 x -1\right)}{823543}+\frac{11696 \ln \left(3 x +2\right)}{823543}-\frac{1}{1715 \left(3 x +2\right)^{5}}+\frac{16}{2401 \left(3 x +2\right)^{4}}-\frac{829}{50421 \left(3 x +2\right)^{3}}-\frac{2875}{117649 \left(3 x +2\right)^{2}}-\frac{24040}{823543 \left(3 x +2\right)}+\frac{484}{117649 \left(2 x -1\right)^{2}}-\frac{11264}{823543 \left(2 x -1\right)}"," ",0,"-1/1715/(3*x+2)^5+16/2401/(3*x+2)^4-829/50421/(3*x+2)^3-2875/117649/(3*x+2)^2-24040/823543/(3*x+2)+11696/823543*ln(3*x+2)+484/117649/(2*x-1)^2-11264/823543/(2*x-1)-11696/823543*ln(2*x-1)","A"
1659,1,61,60,0.008000," ","int((3*x+2)^6*(5*x+3)^3/(1-2*x)^3,x)","-\frac{91125 x^{7}}{56}-\frac{443475 x^{6}}{32}-\frac{229149 x^{5}}{4}-\frac{19986237 x^{4}}{128}-\frac{41793093 x^{3}}{128}-\frac{306103815 x^{2}}{512}-\frac{308539921 x}{256}-\frac{33674025 \ln \left(2 x -1\right)}{32}+\frac{156590819}{2048 \left(2 x -1\right)^{2}}+\frac{616195041}{1024 \left(2 x -1\right)}"," ",0,"-91125/56*x^7-443475/32*x^6-229149/4*x^5-19986237/128*x^4-41793093/128*x^3-306103815/512*x^2-308539921/256*x+156590819/2048/(2*x-1)^2+616195041/1024/(2*x-1)-33674025/32*ln(2*x-1)","A"
1660,1,56,55,0.008000," ","int((3*x+2)^5*(5*x+3)^3/(1-2*x)^3,x)","-\frac{10125 x^{6}}{16}-\frac{80595 x^{5}}{16}-\frac{629505 x^{4}}{32}-\frac{1661133 x^{3}}{32}-\frac{28504029 x^{2}}{256}-\frac{64029233 x}{256}-\frac{60160485 \ln \left(2 x -1\right)}{256}+\frac{22370117}{1024 \left(2 x -1\right)^{2}}+\frac{39220335}{256 \left(2 x -1\right)}"," ",0,"-10125/16*x^6-80595/16*x^5-629505/32*x^4-1661133/32*x^3-28504029/256*x^2-64029233/256*x+22370117/1024/(2*x-1)^2+39220335/256/(2*x-1)-60160485/256*ln(2*x-1)","A"
1661,1,51,50,0.007000," ","int((3*x+2)^4*(5*x+3)^3/(1-2*x)^3,x)","-\frac{2025 x^{5}}{8}-\frac{120825 x^{4}}{64}-7065 x^{3}-\frac{1208973 x^{2}}{64}-\frac{6277415 x}{128}-\frac{12973191 \ln \left(2 x -1\right)}{256}+\frac{3195731}{512 \left(2 x -1\right)^{2}}+\frac{9836211}{256 \left(2 x -1\right)}"," ",0,"-2025/8*x^5-120825/64*x^4-7065*x^3-1208973/64*x^2-6277415/128*x+3195731/512/(2*x-1)^2+9836211/256/(2*x-1)-12973191/256*ln(2*x-1)","A"
1662,1,46,45,0.007000," ","int((3*x+2)^3*(5*x+3)^3/(1-2*x)^3,x)","-\frac{3375 x^{4}}{32}-\frac{11925 x^{3}}{16}-\frac{44595 x^{2}}{16}-\frac{284071 x}{32}-\frac{1334949 \ln \left(2 x -1\right)}{128}+\frac{456533}{256 \left(2 x -1\right)^{2}}+\frac{302379}{32 \left(2 x -1\right)}"," ",0,"-3375/32*x^4-11925/16*x^3-44595/16*x^2-284071/32*x+456533/256/(2*x-1)^2+302379/32/(2*x-1)-1334949/128*ln(2*x-1)","A"
1663,1,41,40,0.007000," ","int((3*x+2)^2*(5*x+3)^3/(1-2*x)^3,x)","-\frac{375 x^{3}}{8}-\frac{10425 x^{2}}{32}-\frac{5695 x}{4}-\frac{64317 \ln \left(2 x -1\right)}{32}+\frac{65219}{128 \left(2 x -1\right)^{2}}+\frac{144837}{64 \left(2 x -1\right)}"," ",0,"-375/8*x^3-10425/32*x^2-5695/4*x+65219/128/(2*x-1)^2+144837/64/(2*x-1)-64317/32*ln(2*x-1)","A"
1664,1,36,35,0.008000," ","int((3*x+2)*(5*x+3)^3/(1-2*x)^3,x)","-\frac{375 x^{2}}{16}-\frac{2975 x}{16}-\frac{2805 \ln \left(2 x -1\right)}{8}+\frac{9317}{64 \left(2 x -1\right)^{2}}+\frac{8349}{16 \left(2 x -1\right)}"," ",0,"-375/16*x^2-2975/16*x+9317/64/(2*x-1)^2+8349/16/(2*x-1)-2805/8*ln(2*x-1)","A"
1665,1,31,30,0.007000," ","int((5*x+3)^3/(1-2*x)^3,x)","-\frac{125 x}{8}-\frac{825 \ln \left(2 x -1\right)}{16}+\frac{1331}{32 \left(2 x -1\right)^{2}}+\frac{1815}{16 \left(2 x -1\right)}"," ",0,"-125/8*x+1331/32/(2*x-1)^2+1815/16/(2*x-1)-825/16*ln(2*x-1)","A"
1666,1,36,35,0.008000," ","int((5*x+3)^3/(1-2*x)^3/(3*x+2),x)","-\frac{14289 \ln \left(2 x -1\right)}{2744}-\frac{\ln \left(3 x +2\right)}{1029}+\frac{1331}{112 \left(2 x -1\right)^{2}}+\frac{1089}{49 \left(2 x -1\right)}"," ",0,"-1/1029*ln(3*x+2)+1331/112/(2*x-1)^2+1089/49/(2*x-1)-14289/2744*ln(2*x-1)","A"
1667,1,45,44,0.010000," ","int((5*x+3)^3/(1-2*x)^3/(3*x+2)^2,x)","-\frac{33 \ln \left(2 x -1\right)}{2401}+\frac{33 \ln \left(3 x +2\right)}{2401}+\frac{1}{3087 x +2058}+\frac{1331}{392 \left(2 x -1\right)^{2}}+\frac{4719}{1372 \left(2 x -1\right)}"," ",0,"1/1029/(3*x+2)+33/2401*ln(3*x+2)+1331/392/(2*x-1)^2+4719/1372/(2*x-1)-33/2401*ln(2*x-1)","A"
1668,1,54,53,0.010000," ","int((5*x+3)^3/(1-2*x)^3/(3*x+2)^3,x)","\frac{1023 \ln \left(2 x -1\right)}{16807}-\frac{1023 \ln \left(3 x +2\right)}{16807}+\frac{1}{2058 \left(3 x +2\right)^{2}}-\frac{33}{2401 \left(3 x +2\right)}+\frac{1331}{1372 \left(2 x -1\right)^{2}}+\frac{363}{2401 \left(2 x -1\right)}"," ",0,"1/2058/(3*x+2)^2-33/2401/(3*x+2)-1023/16807*ln(3*x+2)+1331/1372/(2*x-1)^2+363/2401/(2*x-1)+1023/16807*ln(2*x-1)","A"
1669,1,63,62,0.010000," ","int((5*x+3)^3/(1-2*x)^3/(3*x+2)^4,x)","-\frac{7755 \ln \left(2 x -1\right)}{117649}+\frac{7755 \ln \left(3 x +2\right)}{117649}+\frac{1}{3087 \left(3 x +2\right)^{3}}-\frac{33}{4802 \left(3 x +2\right)^{2}}+\frac{1023}{16807 \left(3 x +2\right)}+\frac{1331}{4802 \left(2 x -1\right)^{2}}-\frac{3267}{16807 \left(2 x -1\right)}"," ",0,"1/3087/(3*x+2)^3-33/4802/(3*x+2)^2+1023/16807/(3*x+2)+7755/117649*ln(3*x+2)+1331/4802/(2*x-1)^2-3267/16807/(2*x-1)-7755/117649*ln(2*x-1)","A"
1670,1,72,71,0.011000," ","int((5*x+3)^3/(1-2*x)^3/(3*x+2)^5,x)","-\frac{59070 \ln \left(2 x -1\right)}{823543}+\frac{59070 \ln \left(3 x +2\right)}{823543}+\frac{1}{4116 \left(3 x +2\right)^{4}}-\frac{11}{2401 \left(3 x +2\right)^{3}}+\frac{1023}{33614 \left(3 x +2\right)^{2}}-\frac{7755}{117649 \left(3 x +2\right)}+\frac{1331}{16807 \left(2 x -1\right)^{2}}-\frac{14520}{117649 \left(2 x -1\right)}"," ",0,"1/4116/(3*x+2)^4-11/2401/(3*x+2)^3+1023/33614/(3*x+2)^2-7755/117649/(3*x+2)+59070/823543*ln(3*x+2)+1331/16807/(2*x-1)^2-14520/117649/(2*x-1)-59070/823543*ln(2*x-1)","A"
1671,1,59,58,0.007000," ","int((3*x+2)^8/(1-2*x)^3/(5*x+3),x)","-\frac{6561 x^{5}}{200}-\frac{408969 x^{4}}{1600}-\frac{124416 x^{3}}{125}-\frac{110180817 x^{2}}{40000}-\frac{2941619571 x}{400000}-\frac{2644396573 \ln \left(2 x -1\right)}{340736}+\frac{\ln \left(5 x +3\right)}{20796875}+\frac{5764801}{5632 \left(2 x -1\right)^{2}}+\frac{188591347}{30976 \left(2 x -1\right)}"," ",0,"-6561/200*x^5-408969/1600*x^4-124416/125*x^3-110180817/40000*x^2-2941619571/400000*x+1/20796875*ln(5*x+3)+5764801/5632/(2*x-1)^2+188591347/30976/(2*x-1)-2644396573/340736*ln(2*x-1)","A"
1672,1,54,53,0.009000," ","int((3*x+2)^7/(1-2*x)^3/(5*x+3),x)","-\frac{2187 x^{4}}{160}-\frac{40581 x^{3}}{400}-\frac{792423 x^{2}}{2000}-\frac{26161299 x}{20000}-\frac{269063263 \ln \left(2 x -1\right)}{170368}+\frac{\ln \left(5 x +3\right)}{4159375}+\frac{823543}{2816 \left(2 x -1\right)^{2}}+\frac{5764801}{3872 \left(2 x -1\right)}"," ",0,"-2187/160*x^4-40581/400*x^3-792423/2000*x^2-26161299/20000*x+1/4159375*ln(5*x+3)+823543/2816/(2*x-1)^2+5764801/3872/(2*x-1)-269063263/170368*ln(2*x-1)","A"
1673,1,49,48,0.009000," ","int((3*x+2)^6/(1-2*x)^3/(5*x+3),x)","-\frac{243 x^{3}}{40}-\frac{35721 x^{2}}{800}-\frac{102303 x}{500}-\frac{12761315 \ln \left(2 x -1\right)}{42592}+\frac{\ln \left(5 x +3\right)}{831875}+\frac{117649}{1408 \left(2 x -1\right)^{2}}+\frac{2739541}{7744 \left(2 x -1\right)}"," ",0,"-243/40*x^3-35721/800*x^2-102303/500*x+1/831875*ln(5*x+3)+117649/1408/(2*x-1)^2+2739541/7744/(2*x-1)-12761315/42592*ln(2*x-1)","A"
1674,1,44,43,0.010000," ","int((3*x+2)^5/(1-2*x)^3/(5*x+3),x)","-\frac{243 x^{2}}{80}-\frac{10287 x}{400}-\frac{543655 \ln \left(2 x -1\right)}{10648}+\frac{\ln \left(5 x +3\right)}{166375}+\frac{16807}{704 \left(2 x -1\right)^{2}}+\frac{156065}{1936 \left(2 x -1\right)}"," ",0,"-243/80*x^2-10287/400*x+1/166375*ln(5*x+3)+16807/704/(2*x-1)^2+156065/1936/(2*x-1)-543655/10648*ln(2*x-1)","A"
1675,1,39,38,0.009000," ","int((3*x+2)^4/(1-2*x)^3/(5*x+3),x)","-\frac{81 x}{40}-\frac{153811 \ln \left(2 x -1\right)}{21296}+\frac{\ln \left(5 x +3\right)}{33275}+\frac{2401}{352 \left(2 x -1\right)^{2}}+\frac{33271}{1936 \left(2 x -1\right)}"," ",0,"-81/40*x+1/33275*ln(5*x+3)+2401/352/(2*x-1)^2+33271/1936/(2*x-1)-153811/21296*ln(2*x-1)","A"
1676,1,36,35,0.010000," ","int((3*x+2)^3/(1-2*x)^3/(5*x+3),x)","-\frac{7189 \ln \left(2 x -1\right)}{10648}+\frac{\ln \left(5 x +3\right)}{6655}+\frac{343}{176 \left(2 x -1\right)^{2}}+\frac{392}{121 \left(2 x -1\right)}"," ",0,"1/6655*ln(5*x+3)+343/176/(2*x-1)^2+392/121/(2*x-1)-7189/10648*ln(2*x-1)","A"
1677,1,36,35,0.007000," ","int((3*x+2)^2/(1-2*x)^3/(5*x+3),x)","-\frac{\ln \left(2 x -1\right)}{1331}+\frac{\ln \left(5 x +3\right)}{1331}+\frac{49}{88 \left(2 x -1\right)^{2}}+\frac{217}{484 \left(2 x -1\right)}"," ",0,"1/1331*ln(5*x+3)+49/88/(2*x-1)^2+217/484/(2*x-1)-1/1331*ln(2*x-1)","A"
1678,1,36,35,0.008000," ","int((3*x+2)/(1-2*x)^3/(5*x+3),x)","-\frac{5 \ln \left(2 x -1\right)}{1331}+\frac{5 \ln \left(5 x +3\right)}{1331}+\frac{7}{44 \left(2 x -1\right)^{2}}-\frac{1}{121 \left(2 x -1\right)}"," ",0,"5/1331*ln(5*x+3)+7/44/(2*x-1)^2-1/121/(2*x-1)-5/1331*ln(2*x-1)","A"
1679,1,36,35,0.006000," ","int(1/(1-2*x)^3/(5*x+3),x)","-\frac{25 \ln \left(2 x -1\right)}{1331}+\frac{25 \ln \left(5 x +3\right)}{1331}+\frac{1}{22 \left(2 x -1\right)^{2}}-\frac{5}{121 \left(2 x -1\right)}"," ",0,"25/1331*ln(5*x+3)+1/22/(2*x-1)^2-5/121/(2*x-1)-25/1331*ln(2*x-1)","A"
1680,1,44,43,0.010000," ","int(1/(1-2*x)^3/(3*x+2)/(5*x+3),x)","-\frac{6938 \ln \left(2 x -1\right)}{456533}-\frac{27 \ln \left(3 x +2\right)}{343}+\frac{125 \ln \left(5 x +3\right)}{1331}+\frac{1}{77 \left(2 x -1\right)^{2}}-\frac{136}{5929 \left(2 x -1\right)}"," ",0,"125/1331*ln(5*x+3)-27/343*ln(3*x+2)+1/77/(2*x-1)^2-136/5929/(2*x-1)-6938/456533*ln(2*x-1)","A"
1681,1,53,52,0.011000," ","int(1/(1-2*x)^3/(3*x+2)^2/(5*x+3),x)","-\frac{27208 \ln \left(2 x -1\right)}{3195731}-\frac{1107 \ln \left(3 x +2\right)}{2401}+\frac{625 \ln \left(5 x +3\right)}{1331}+\frac{27}{343 \left(3 x +2\right)}+\frac{2}{539 \left(2 x -1\right)^{2}}-\frac{404}{41503 \left(2 x -1\right)}"," ",0,"625/1331*ln(5*x+3)+27/343/(3*x+2)-1107/2401*ln(3*x+2)+2/539/(2*x-1)^2-404/41503/(2*x-1)-27208/3195731*ln(2*x-1)","A"
1682,1,62,61,0.010000," ","int(1/(1-2*x)^3/(3*x+2)^3/(5*x+3),x)","-\frac{89792 \ln \left(2 x -1\right)}{22370117}-\frac{39393 \ln \left(3 x +2\right)}{16807}+\frac{3125 \ln \left(5 x +3\right)}{1331}+\frac{27}{686 \left(3 x +2\right)^{2}}+\frac{1107}{2401 \left(3 x +2\right)}+\frac{4}{3773 \left(2 x -1\right)^{2}}-\frac{1072}{290521 \left(2 x -1\right)}"," ",0,"3125/1331*ln(5*x+3)+27/686/(3*x+2)^2+1107/2401/(3*x+2)-39393/16807*ln(3*x+2)+4/3773/(2*x-1)^2-1072/290521/(2*x-1)-89792/22370117*ln(2*x-1)","A"
1683,1,71,70,0.011000," ","int(1/(1-2*x)^3/(3*x+2)^4/(5*x+3),x)","-\frac{267760 \ln \left(2 x -1\right)}{156590819}-\frac{1380915 \ln \left(3 x +2\right)}{117649}+\frac{15625 \ln \left(5 x +3\right)}{1331}+\frac{9}{343 \left(3 x +2\right)^{3}}+\frac{1107}{4802 \left(3 x +2\right)^{2}}+\frac{39393}{16807 \left(3 x +2\right)}+\frac{8}{26411 \left(2 x -1\right)^{2}}-\frac{2672}{2033647 \left(2 x -1\right)}"," ",0,"15625/1331*ln(5*x+3)+9/343/(3*x+2)^3+1107/4802/(3*x+2)^2+39393/16807/(3*x+2)-1380915/117649*ln(3*x+2)+8/26411/(2*x-1)^2-2672/2033647/(2*x-1)-267760/156590819*ln(2*x-1)","A"
1684,1,63,62,0.010000," ","int((3*x+2)^8/(1-2*x)^3/(5*x+3)^2,x)","-\frac{6561 x^{4}}{800}-\frac{123201 x^{3}}{2000}-\frac{4863159 x^{2}}{20000}-\frac{81001863 x}{100000}-\frac{1845559863 \ln \left(2 x -1\right)}{1874048}+\frac{54 \ln \left(5 x +3\right)}{45753125}-\frac{1}{20796875 \left(5 x +3\right)}+\frac{5764801}{30976 \left(2 x -1\right)^{2}}+\frac{79883671}{85184 \left(2 x -1\right)}"," ",0,"-6561/800*x^4-123201/2000*x^3-4863159/20000*x^2-81001863/100000*x-1/20796875/(5*x+3)+54/45753125*ln(5*x+3)+5764801/30976/(2*x-1)^2+79883671/85184/(2*x-1)-1845559863/1874048*ln(2*x-1)","A"
1685,1,58,57,0.010000," ","int((3*x+2)^7/(1-2*x)^3/(5*x+3)^2,x)","-\frac{729 x^{3}}{200}-\frac{108621 x^{2}}{4000}-\frac{1258983 x}{10000}-\frac{87177909 \ln \left(2 x -1\right)}{468512}+\frac{237 \ln \left(5 x +3\right)}{45753125}-\frac{1}{4159375 \left(5 x +3\right)}+\frac{823543}{15488 \left(2 x -1\right)^{2}}+\frac{18941489}{85184 \left(2 x -1\right)}"," ",0,"-729/200*x^3-108621/4000*x^2-1258983/10000*x-1/4159375/(5*x+3)+237/45753125*ln(5*x+3)+823543/15488/(2*x-1)^2+18941489/85184/(2*x-1)-87177909/468512*ln(2*x-1)","A"
1686,1,53,52,0.008000," ","int((3*x+2)^6/(1-2*x)^3/(5*x+3)^2,x)","-\frac{729 x^{2}}{400}-\frac{31347 x}{2000}-\frac{7383075 \ln \left(2 x -1\right)}{234256}+\frac{204 \ln \left(5 x +3\right)}{9150625}-\frac{1}{831875 \left(5 x +3\right)}+\frac{117649}{7744 \left(2 x -1\right)^{2}}+\frac{67228}{1331 \left(2 x -1\right)}"," ",0,"-729/400*x^2-31347/2000*x-1/831875/(5*x+3)+204/9150625*ln(5*x+3)+117649/7744/(2*x-1)^2+67228/1331/(2*x-1)-7383075/234256*ln(2*x-1)","A"
1687,1,48,47,0.008000," ","int((3*x+2)^5/(1-2*x)^3/(5*x+3)^2,x)","-\frac{243 x}{200}-\frac{1034145 \ln \left(2 x -1\right)}{234256}+\frac{171 \ln \left(5 x +3\right)}{1830125}-\frac{1}{166375 \left(5 x +3\right)}+\frac{16807}{3872 \left(2 x -1\right)^{2}}+\frac{228095}{21296 \left(2 x -1\right)}"," ",0,"-243/200*x-1/166375/(5*x+3)+171/1830125*ln(5*x+3)+16807/3872/(2*x-1)^2+228095/21296/(2*x-1)-1034145/234256*ln(2*x-1)","A"
1688,1,45,44,0.010000," ","int((3*x+2)^4/(1-2*x)^3/(5*x+3)^2,x)","-\frac{47481 \ln \left(2 x -1\right)}{117128}+\frac{138 \ln \left(5 x +3\right)}{366025}-\frac{1}{33275 \left(5 x +3\right)}+\frac{2401}{1936 \left(2 x -1\right)^{2}}+\frac{10633}{5324 \left(2 x -1\right)}"," ",0,"-1/33275/(5*x+3)+138/366025*ln(5*x+3)+2401/1936/(2*x-1)^2+10633/5324/(2*x-1)-47481/117128*ln(2*x-1)","A"
1689,1,45,44,0.010000," ","int((3*x+2)^3/(1-2*x)^3/(5*x+3)^2,x)","-\frac{21 \ln \left(2 x -1\right)}{14641}+\frac{21 \ln \left(5 x +3\right)}{14641}-\frac{1}{6655 \left(5 x +3\right)}+\frac{343}{968 \left(2 x -1\right)^{2}}+\frac{1421}{5324 \left(2 x -1\right)}"," ",0,"-1/6655/(5*x+3)+21/14641*ln(5*x+3)+343/968/(2*x-1)^2+1421/5324/(2*x-1)-21/14641*ln(2*x-1)","A"
1690,1,45,44,0.010000," ","int((3*x+2)^2/(1-2*x)^3/(5*x+3)^2,x)","-\frac{72 \ln \left(2 x -1\right)}{14641}+\frac{72 \ln \left(5 x +3\right)}{14641}-\frac{1}{1331 \left(5 x +3\right)}+\frac{49}{484 \left(2 x -1\right)^{2}}-\frac{14}{1331 \left(2 x -1\right)}"," ",0,"-1/1331/(5*x+3)+72/14641*ln(5*x+3)+49/484/(2*x-1)^2-14/1331/(2*x-1)-72/14641*ln(2*x-1)","A"
1691,1,45,44,0.010000," ","int((3*x+2)/(1-2*x)^3/(5*x+3)^2,x)","-\frac{195 \ln \left(2 x -1\right)}{14641}+\frac{195 \ln \left(5 x +3\right)}{14641}-\frac{5}{1331 \left(5 x +3\right)}+\frac{7}{242 \left(2 x -1\right)^{2}}-\frac{37}{1331 \left(2 x -1\right)}"," ",0,"-5/1331/(5*x+3)+195/14641*ln(5*x+3)+7/242/(2*x-1)^2-37/1331/(2*x-1)-195/14641*ln(2*x-1)","A"
1692,1,45,44,0.010000," ","int(1/(1-2*x)^3/(5*x+3)^2,x)","-\frac{150 \ln \left(2 x -1\right)}{14641}+\frac{150 \ln \left(5 x +3\right)}{14641}-\frac{25}{1331 \left(5 x +3\right)}+\frac{1}{121 \left(2 x -1\right)^{2}}-\frac{20}{1331 \left(2 x -1\right)}"," ",0,"-25/1331/(5*x+3)+150/14641*ln(5*x+3)+1/121/(2*x-1)^2-20/1331/(2*x-1)-150/14641*ln(2*x-1)","A"
1693,1,53,52,0.011000," ","int(1/(1-2*x)^3/(3*x+2)/(5*x+3)^2,x)","-\frac{28296 \ln \left(2 x -1\right)}{5021863}+\frac{81 \ln \left(3 x +2\right)}{343}-\frac{3375 \ln \left(5 x +3\right)}{14641}-\frac{125}{1331 \left(5 x +3\right)}+\frac{2}{847 \left(2 x -1\right)^{2}}-\frac{412}{65219 \left(2 x -1\right)}"," ",0,"-125/1331/(5*x+3)-3375/14641*ln(5*x+3)+81/343*ln(3*x+2)+2/847/(2*x-1)^2-412/65219/(2*x-1)-28296/5021863*ln(2*x-1)","A"
1694,1,62,61,0.013000," ","int(1/(1-2*x)^3/(3*x+2)^2/(5*x+3)^2,x)","-\frac{92496 \ln \left(2 x -1\right)}{35153041}+\frac{6156 \ln \left(3 x +2\right)}{2401}-\frac{37500 \ln \left(5 x +3\right)}{14641}-\frac{625}{1331 \left(5 x +3\right)}-\frac{81}{343 \left(3 x +2\right)}+\frac{4}{5929 \left(2 x -1\right)^{2}}-\frac{1088}{456533 \left(2 x -1\right)}"," ",0,"-625/1331/(5*x+3)-37500/14641*ln(5*x+3)-81/343/(3*x+2)+6156/2401*ln(3*x+2)+4/5929/(2*x-1)^2-1088/456533/(2*x-1)-92496/35153041*ln(2*x-1)","A"
1695,1,71,70,0.013000," ","int(1/(1-2*x)^3/(3*x+2)^3/(5*x+3)^2,x)","-\frac{274224 \ln \left(2 x -1\right)}{246071287}+\frac{333639 \ln \left(3 x +2\right)}{16807}-\frac{290625 \ln \left(5 x +3\right)}{14641}-\frac{3125}{1331 \left(5 x +3\right)}-\frac{81}{686 \left(3 x +2\right)^{2}}-\frac{6156}{2401 \left(3 x +2\right)}+\frac{8}{41503 \left(2 x -1\right)^{2}}-\frac{2704}{3195731 \left(2 x -1\right)}"," ",0,"-3125/1331/(5*x+3)-290625/14641*ln(5*x+3)-81/686/(3*x+2)^2-6156/2401/(3*x+2)+333639/16807*ln(3*x+2)+8/41503/(2*x-1)^2-2704/3195731/(2*x-1)-274224/246071287*ln(2*x-1)","A"
1696,1,80,79,0.013000," ","int(1/(1-2*x)^3/(3*x+2)^4/(5*x+3)^2,x)","-\frac{761760 \ln \left(2 x -1\right)}{1722499009}+\frac{15820110 \ln \left(3 x +2\right)}{117649}-\frac{1968750 \ln \left(5 x +3\right)}{14641}-\frac{15625}{1331 \left(5 x +3\right)}-\frac{27}{343 \left(3 x +2\right)^{3}}-\frac{3078}{2401 \left(3 x +2\right)^{2}}-\frac{333639}{16807 \left(3 x +2\right)}+\frac{16}{290521 \left(2 x -1\right)^{2}}-\frac{6464}{22370117 \left(2 x -1\right)}"," ",0,"-15625/1331/(5*x+3)-1968750/14641*ln(5*x+3)-27/343/(3*x+2)^3-3078/2401/(3*x+2)^2-333639/16807/(3*x+2)+15820110/117649*ln(3*x+2)+16/290521/(2*x-1)^2-6464/22370117/(2*x-1)-761760/1722499009*ln(2*x-1)","A"
1697,1,72,71,0.012000," ","int((3*x+2)^9/(1-2*x)^3/(5*x+3)^3,x)","-\frac{19683 x^{4}}{4000}-\frac{373977 x^{3}}{10000}-\frac{7459857 x^{2}}{50000}-\frac{50150097 x}{100000}-\frac{12657032367 \ln \left(2 x -1\right)}{20614528}+\frac{8202 \ln \left(5 x +3\right)}{2516421875}-\frac{1}{207968750 \left(5 x +3\right)^{2}}-\frac{303}{1143828125 \left(5 x +3\right)}+\frac{40353607}{340736 \left(2 x -1\right)^{2}}+\frac{17294403}{29282 \left(2 x -1\right)}"," ",0,"-19683/4000*x^4-373977/10000*x^3-7459857/50000*x^2-50150097/100000*x-1/207968750/(5*x+3)^2-303/1143828125/(5*x+3)+8202/2516421875*ln(5*x+3)+40353607/340736/(2*x-1)^2+17294403/29282/(2*x-1)-12657032367/20614528*ln(2*x-1)","A"
1698,1,67,66,0.012000," ","int((3*x+2)^8/(1-2*x)^3/(5*x+3)^3,x)","-\frac{2187 x^{3}}{1000}-\frac{330237 x^{2}}{20000}-\frac{242028 x}{3125}-\frac{595421589 \ln \left(2 x -1\right)}{5153632}+\frac{1284 \ln \left(5 x +3\right)}{100656875}-\frac{1}{41593750 \left(5 x +3\right)^{2}}-\frac{54}{45753125 \left(5 x +3\right)}+\frac{5764801}{170368 \left(2 x -1\right)^{2}}+\frac{130943337}{937024 \left(2 x -1\right)}"," ",0,"-2187/1000*x^3-330237/20000*x^2-242028/3125*x-1/41593750/(5*x+3)^2-54/45753125/(5*x+3)+1284/100656875*ln(5*x+3)+5764801/170368/(2*x-1)^2+130943337/937024/(2*x-1)-595421589/5153632*ln(2*x-1)","A"
1699,1,62,61,0.012000," ","int((3*x+2)^7/(1-2*x)^3/(5*x+3)^3,x)","-\frac{2187 x^{2}}{2000}-\frac{95499 x}{10000}-\frac{25059237 \ln \left(2 x -1\right)}{1288408}+\frac{24279 \ln \left(5 x +3\right)}{503284375}-\frac{1}{8318750 \left(5 x +3\right)^{2}}-\frac{237}{45753125 \left(5 x +3\right)}+\frac{823543}{85184 \left(2 x -1\right)^{2}}+\frac{7411887}{234256 \left(2 x -1\right)}"," ",0,"-2187/2000*x^2-95499/10000*x-1/8318750/(5*x+3)^2-237/45753125/(5*x+3)+24279/503284375*ln(5*x+3)+823543/85184/(2*x-1)^2+7411887/234256/(2*x-1)-25059237/1288408*ln(2*x-1)","A"
1700,1,57,56,0.010000," ","int((3*x+2)^6/(1-2*x)^3/(5*x+3)^3,x)","-\frac{729 x}{1000}-\frac{6950895 \ln \left(2 x -1\right)}{2576816}+\frac{17547 \ln \left(5 x +3\right)}{100656875}-\frac{1}{1663750 \left(5 x +3\right)^{2}}-\frac{204}{9150625 \left(5 x +3\right)}+\frac{117649}{42592 \left(2 x -1\right)^{2}}+\frac{1563051}{234256 \left(2 x -1\right)}"," ",0,"-729/1000*x-1/1663750/(5*x+3)^2-204/9150625/(5*x+3)+17547/100656875*ln(5*x+3)+117649/42592/(2*x-1)^2+1563051/234256/(2*x-1)-6950895/2576816*ln(2*x-1)","A"
1701,1,54,53,0.011000," ","int((3*x+2)^5/(1-2*x)^3/(5*x+3)^3,x)","-\frac{313845 \ln \left(2 x -1\right)}{1288408}+\frac{11904 \ln \left(5 x +3\right)}{20131375}-\frac{1}{332750 \left(5 x +3\right)^{2}}-\frac{171}{1830125 \left(5 x +3\right)}+\frac{16807}{21296 \left(2 x -1\right)^{2}}+\frac{36015}{29282 \left(2 x -1\right)}"," ",0,"-1/332750/(5*x+3)^2-171/1830125/(5*x+3)+11904/20131375*ln(5*x+3)+16807/21296/(2*x-1)^2+36015/29282/(2*x-1)-313845/1288408*ln(2*x-1)","A"
1702,1,54,53,0.009000," ","int((3*x+2)^4/(1-2*x)^3/(5*x+3)^3,x)","-\frac{294 \ln \left(2 x -1\right)}{161051}+\frac{294 \ln \left(5 x +3\right)}{161051}-\frac{1}{66550 \left(5 x +3\right)^{2}}-\frac{138}{366025 \left(5 x +3\right)}+\frac{2401}{10648 \left(2 x -1\right)^{2}}+\frac{9261}{58564 \left(2 x -1\right)}"," ",0,"-1/66550/(5*x+3)^2-138/366025/(5*x+3)+294/161051*ln(5*x+3)+2401/10648/(2*x-1)^2+9261/58564/(2*x-1)-294/161051*ln(2*x-1)","A"
1703,1,54,53,0.011000," ","int((3*x+2)^3/(1-2*x)^3/(5*x+3)^3,x)","-\frac{777 \ln \left(2 x -1\right)}{161051}+\frac{777 \ln \left(5 x +3\right)}{161051}-\frac{1}{13310 \left(5 x +3\right)^{2}}-\frac{21}{14641 \left(5 x +3\right)}+\frac{343}{5324 \left(2 x -1\right)^{2}}-\frac{147}{14641 \left(2 x -1\right)}"," ",0,"-1/13310/(5*x+3)^2-21/14641/(5*x+3)+777/161051*ln(5*x+3)+343/5324/(2*x-1)^2-147/14641/(2*x-1)-777/161051*ln(2*x-1)","A"
1704,1,54,53,0.010000," ","int((3*x+2)^2/(1-2*x)^3/(5*x+3)^3,x)","-\frac{1509 \ln \left(2 x -1\right)}{161051}+\frac{1509 \ln \left(5 x +3\right)}{161051}-\frac{1}{2662 \left(5 x +3\right)^{2}}-\frac{72}{14641 \left(5 x +3\right)}+\frac{49}{2662 \left(2 x -1\right)^{2}}-\frac{273}{14641 \left(2 x -1\right)}"," ",0,"-1/2662/(5*x+3)^2-72/14641/(5*x+3)+1509/161051*ln(5*x+3)+49/2662/(2*x-1)^2-273/14641/(2*x-1)-1509/161051*ln(2*x-1)","A"
1705,1,54,53,0.010000," ","int((3*x+2)/(1-2*x)^3/(5*x+3)^3,x)","-\frac{1110 \ln \left(2 x -1\right)}{161051}+\frac{1110 \ln \left(5 x +3\right)}{161051}-\frac{5}{2662 \left(5 x +3\right)^{2}}-\frac{195}{14641 \left(5 x +3\right)}+\frac{7}{1331 \left(2 x -1\right)^{2}}-\frac{144}{14641 \left(2 x -1\right)}"," ",0,"-5/2662/(5*x+3)^2-195/14641/(5*x+3)+1110/161051*ln(5*x+3)+7/1331/(2*x-1)^2-144/14641/(2*x-1)-1110/161051*ln(2*x-1)","A"
1706,1,54,53,0.010000," ","int(1/(1-2*x)^3/(5*x+3)^3,x)","-\frac{600 \ln \left(2 x -1\right)}{161051}+\frac{600 \ln \left(5 x +3\right)}{161051}-\frac{25}{2662 \left(5 x +3\right)^{2}}-\frac{150}{14641 \left(5 x +3\right)}+\frac{2}{1331 \left(2 x -1\right)^{2}}-\frac{60}{14641 \left(2 x -1\right)}"," ",0,"-25/2662/(5*x+3)^2-150/14641/(5*x+3)+600/161051*ln(5*x+3)+2/1331/(2*x-1)^2-60/14641/(2*x-1)-600/161051*ln(2*x-1)","A"
1707,1,62,61,0.012000," ","int(1/(1-2*x)^3/(3*x+2)/(5*x+3)^3,x)","-\frac{95232 \ln \left(2 x -1\right)}{55240493}-\frac{243 \ln \left(3 x +2\right)}{343}+\frac{114375 \ln \left(5 x +3\right)}{161051}-\frac{125}{2662 \left(5 x +3\right)^{2}}+\frac{3375}{14641 \left(5 x +3\right)}+\frac{4}{9317 \left(2 x -1\right)^{2}}-\frac{1104}{717409 \left(2 x -1\right)}"," ",0,"-125/2662/(5*x+3)^2+3375/14641/(5*x+3)+114375/161051*ln(5*x+3)-243/343*ln(3*x+2)+4/9317/(2*x-1)^2-1104/717409/(2*x-1)-95232/55240493*ln(2*x-1)","A"
1708,1,71,70,0.013000," ","int(1/(1-2*x)^3/(3*x+2)^2/(5*x+3)^3,x)","-\frac{280752 \ln \left(2 x -1\right)}{386683451}-\frac{26973 \ln \left(3 x +2\right)}{2401}+\frac{1809375 \ln \left(5 x +3\right)}{161051}-\frac{625}{2662 \left(5 x +3\right)^{2}}+\frac{37500}{14641 \left(5 x +3\right)}+\frac{243}{343 \left(3 x +2\right)}+\frac{8}{65219 \left(2 x -1\right)^{2}}-\frac{2736}{5021863 \left(2 x -1\right)}"," ",0,"-625/2662/(5*x+3)^2+37500/14641/(5*x+3)+1809375/161051*ln(5*x+3)+243/343/(3*x+2)-26973/2401*ln(3*x+2)+8/65219/(2*x-1)^2-2736/5021863/(2*x-1)-280752/386683451*ln(2*x-1)","A"
1709,1,80,79,0.011000," ","int(1/(1-2*x)^3/(3*x+2)^3/(5*x+3)^3,x)","-\frac{776928 \ln \left(2 x -1\right)}{2706784157}-\frac{1944972 \ln \left(3 x +2\right)}{16807}+\frac{18637500 \ln \left(5 x +3\right)}{161051}-\frac{3125}{2662 \left(5 x +3\right)^{2}}+\frac{290625}{14641 \left(5 x +3\right)}+\frac{243}{686 \left(3 x +2\right)^{2}}+\frac{26973}{2401 \left(3 x +2\right)}+\frac{16}{456533 \left(2 x -1\right)^{2}}-\frac{6528}{35153041 \left(2 x -1\right)}"," ",0,"-3125/2662/(5*x+3)^2+290625/14641/(5*x+3)+18637500/161051*ln(5*x+3)+243/686/(3*x+2)^2+26973/2401/(3*x+2)-1944972/16807*ln(3*x+2)+16/456533/(2*x-1)^2-6528/35153041/(2*x-1)-776928/2706784157*ln(2*x-1)","A"
1710,1,89,88,0.014000," ","int(1/(1-2*x)^3/(3*x+2)^4/(5*x+3)^3,x)","-\frac{2054400 \ln \left(2 x -1\right)}{18947489099}-\frac{115534350 \ln \left(3 x +2\right)}{117649}+\frac{158156250 \ln \left(5 x +3\right)}{161051}-\frac{15625}{2662 \left(5 x +3\right)^{2}}+\frac{1968750}{14641 \left(5 x +3\right)}+\frac{81}{343 \left(3 x +2\right)^{3}}+\frac{26973}{4802 \left(3 x +2\right)^{2}}+\frac{1944972}{16807 \left(3 x +2\right)}+\frac{32}{3195731 \left(2 x -1\right)^{2}}-\frac{15168}{246071287 \left(2 x -1\right)}"," ",0,"-15625/2662/(5*x+3)^2+1968750/14641/(5*x+3)+158156250/161051*ln(5*x+3)+81/343/(3*x+2)^3+26973/4802/(3*x+2)^2+1944972/16807/(3*x+2)-115534350/117649*ln(3*x+2)+32/3195731/(2*x-1)^2-15168/246071287/(2*x-1)-2054400/18947489099*ln(2*x-1)","A"
1711,1,767,347,0.001000," ","int((b*x+a)^3*(d*x+c)^3*(f*x+e)^3,x)","\frac{b^{3} d^{3} f^{3} x^{10}}{10}+a^{3} c^{3} e^{3} x +\frac{\left(3 b^{3} d^{3} e \,f^{2}+\left(3 a \,b^{2} d^{3}+3 b^{3} c \,d^{2}\right) f^{3}\right) x^{9}}{9}+\frac{\left(3 b^{3} d^{3} e^{2} f +3 \left(3 a \,b^{2} d^{3}+3 b^{3} c \,d^{2}\right) e \,f^{2}+\left(3 a^{2} b \,d^{3}+9 a \,b^{2} c \,d^{2}+3 b^{3} c^{2} d \right) f^{3}\right) x^{8}}{8}+\frac{\left(b^{3} d^{3} e^{3}+3 \left(3 a \,b^{2} d^{3}+3 b^{3} c \,d^{2}\right) e^{2} f +3 \left(3 a^{2} b \,d^{3}+9 a \,b^{2} c \,d^{2}+3 b^{3} c^{2} d \right) e \,f^{2}+\left(a^{3} d^{3}+9 a^{2} b c \,d^{2}+9 a \,b^{2} c^{2} d +b^{3} c^{3}\right) f^{3}\right) x^{7}}{7}+\frac{\left(\left(3 a \,b^{2} d^{3}+3 b^{3} c \,d^{2}\right) e^{3}+3 \left(3 a^{2} b \,d^{3}+9 a \,b^{2} c \,d^{2}+3 b^{3} c^{2} d \right) e^{2} f +3 \left(a^{3} d^{3}+9 a^{2} b c \,d^{2}+9 a \,b^{2} c^{2} d +b^{3} c^{3}\right) e \,f^{2}+\left(3 a^{3} c \,d^{2}+9 a^{2} b \,c^{2} d +3 a \,b^{2} c^{3}\right) f^{3}\right) x^{6}}{6}+\frac{\left(\left(3 a^{2} b \,d^{3}+9 a \,b^{2} c \,d^{2}+3 b^{3} c^{2} d \right) e^{3}+3 \left(a^{3} d^{3}+9 a^{2} b c \,d^{2}+9 a \,b^{2} c^{2} d +b^{3} c^{3}\right) e^{2} f +3 \left(3 a^{3} c \,d^{2}+9 a^{2} b \,c^{2} d +3 a \,b^{2} c^{3}\right) e \,f^{2}+\left(3 a^{3} c^{2} d +3 a^{2} b \,c^{3}\right) f^{3}\right) x^{5}}{5}+\frac{\left(a^{3} c^{3} f^{3}+\left(a^{3} d^{3}+9 a^{2} b c \,d^{2}+9 a \,b^{2} c^{2} d +b^{3} c^{3}\right) e^{3}+3 \left(3 a^{3} c \,d^{2}+9 a^{2} b \,c^{2} d +3 a \,b^{2} c^{3}\right) e^{2} f +3 \left(3 a^{3} c^{2} d +3 a^{2} b \,c^{3}\right) e \,f^{2}\right) x^{4}}{4}+\frac{\left(3 a^{3} c^{3} e \,f^{2}+\left(3 a^{3} c \,d^{2}+9 a^{2} b \,c^{2} d +3 a \,b^{2} c^{3}\right) e^{3}+3 \left(3 a^{3} c^{2} d +3 a^{2} b \,c^{3}\right) e^{2} f \right) x^{3}}{3}+\frac{\left(3 a^{3} c^{3} e^{2} f +\left(3 a^{3} c^{2} d +3 a^{2} b \,c^{3}\right) e^{3}\right) x^{2}}{2}"," ",0,"1/10*b^3*d^3*f^3*x^10+1/9*((3*a*b^2*d^3+3*b^3*c*d^2)*f^3+3*b^3*d^3*e*f^2)*x^9+1/8*((3*a^2*b*d^3+9*a*b^2*c*d^2+3*b^3*c^2*d)*f^3+3*(3*a*b^2*d^3+3*b^3*c*d^2)*e*f^2+3*b^3*d^3*e^2*f)*x^8+1/7*((a^3*d^3+9*a^2*b*c*d^2+9*a*b^2*c^2*d+b^3*c^3)*f^3+3*(3*a^2*b*d^3+9*a*b^2*c*d^2+3*b^3*c^2*d)*e*f^2+3*(3*a*b^2*d^3+3*b^3*c*d^2)*e^2*f+b^3*d^3*e^3)*x^7+1/6*((3*a^3*c*d^2+9*a^2*b*c^2*d+3*a*b^2*c^3)*f^3+3*(a^3*d^3+9*a^2*b*c*d^2+9*a*b^2*c^2*d+b^3*c^3)*e*f^2+3*(3*a^2*b*d^3+9*a*b^2*c*d^2+3*b^3*c^2*d)*e^2*f+(3*a*b^2*d^3+3*b^3*c*d^2)*e^3)*x^6+1/5*((3*a^3*c^2*d+3*a^2*b*c^3)*f^3+3*(3*a^3*c*d^2+9*a^2*b*c^2*d+3*a*b^2*c^3)*e*f^2+3*(a^3*d^3+9*a^2*b*c*d^2+9*a*b^2*c^2*d+b^3*c^3)*e^2*f+(3*a^2*b*d^3+9*a*b^2*c*d^2+3*b^3*c^2*d)*e^3)*x^5+1/4*(a^3*c^3*f^3+3*(3*a^3*c^2*d+3*a^2*b*c^3)*e*f^2+3*(3*a^3*c*d^2+9*a^2*b*c^2*d+3*a*b^2*c^3)*e^2*f+(a^3*d^3+9*a^2*b*c*d^2+9*a*b^2*c^2*d+b^3*c^3)*e^3)*x^4+1/3*(3*a^3*c^3*e*f^2+3*(3*a^3*c^2*d+3*a^2*b*c^3)*e^2*f+(3*a^3*c*d^2+9*a^2*b*c^2*d+3*a*b^2*c^3)*e^3)*x^3+1/2*(3*a^3*c^3*e^2*f+(3*a^3*c^2*d+3*a^2*b*c^3)*e^3)*x^2+a^3*c^3*e^3*x","B"
1712,1,286,183,0.001000," ","int((b*x+a)^2*(d*x+c)^2*(f*x+e)^2,x)","\frac{b^{2} d^{2} f^{2} x^{7}}{7}+a^{2} c^{2} e^{2} x +\frac{\left(2 b^{2} d^{2} e f +\left(2 a b \,d^{2}+2 b^{2} c d \right) f^{2}\right) x^{6}}{6}+\frac{\left(b^{2} d^{2} e^{2}+2 \left(2 a b \,d^{2}+2 b^{2} c d \right) e f +\left(a^{2} d^{2}+4 a b c d +b^{2} c^{2}\right) f^{2}\right) x^{5}}{5}+\frac{\left(\left(2 a b \,d^{2}+2 b^{2} c d \right) e^{2}+2 \left(a^{2} d^{2}+4 a b c d +b^{2} c^{2}\right) e f +\left(2 a^{2} c d +2 a b \,c^{2}\right) f^{2}\right) x^{4}}{4}+\frac{\left(a^{2} c^{2} f^{2}+\left(a^{2} d^{2}+4 a b c d +b^{2} c^{2}\right) e^{2}+2 \left(2 a^{2} c d +2 a b \,c^{2}\right) e f \right) x^{3}}{3}+\frac{\left(2 a^{2} c^{2} e f +\left(2 a^{2} c d +2 a b \,c^{2}\right) e^{2}\right) x^{2}}{2}"," ",0,"1/7*b^2*d^2*f^2*x^7+1/6*((2*a*b*d^2+2*b^2*c*d)*f^2+2*b^2*d^2*e*f)*x^6+1/5*((a^2*d^2+4*a*b*c*d+b^2*c^2)*f^2+2*(2*a*b*d^2+2*b^2*c*d)*e*f+b^2*d^2*e^2)*x^5+1/4*((2*a^2*c*d+2*a*b*c^2)*f^2+2*(a^2*d^2+4*a*b*c*d+b^2*c^2)*e*f+(2*a*b*d^2+2*b^2*c*d)*e^2)*x^4+1/3*(a^2*c^2*f^2+2*(2*a^2*c*d+2*a*b*c^2)*e*f+(a^2*d^2+4*a*b*c*d+b^2*c^2)*e^2)*x^3+1/2*(2*a^2*c^2*e*f+(2*a^2*c*d+2*a*b*c^2)*e^2)*x^2+a^2*c^2*e^2*x","A"
1713,1,53,50,0.002000," ","int((b*x+a)*(d*x+c)*(f*x+e),x)","\frac{b d f \,x^{4}}{4}+a c e x +\frac{\left(b d e +\left(a d +b c \right) f \right) x^{3}}{3}+\frac{\left(a c f +\left(a d +b c \right) e \right) x^{2}}{2}"," ",0,"1/4*b*d*f*x^4+1/3*((a*d+b*c)*f+b*d*e)*x^3+1/2*(a*c*f+(a*d+b*c)*e)*x^2+a*c*e*x","A"
1714,1,87,86,0.007000," ","int(1/(b*x+a)/(d*x+c)/(f*x+e),x)","\frac{b \ln \left(b x +a \right)}{\left(a d -b c \right) \left(a f -b e \right)}-\frac{d \ln \left(d x +c \right)}{\left(a d -b c \right) \left(c f -d e \right)}+\frac{f \ln \left(f x +e \right)}{\left(c f -d e \right) \left(a f -b e \right)}"," ",0,"-d/(a*d-b*c)/(c*f-d*e)*ln(d*x+c)+b/(a*d-b*c)/(a*f-b*e)*ln(b*x+a)+f/(c*f-d*e)/(a*f-b*e)*ln(f*x+e)","A"
1715,1,398,234,0.021000," ","int(1/(b*x+a)^2/(d*x+c)^2/(f*x+e)^2,x)","\frac{4 a \,b^{3} d f \ln \left(b x +a \right)}{\left(a d -b c \right)^{3} \left(a f -b e \right)^{3}}+\frac{2 a \,d^{4} f \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} \left(c f -d e \right)^{3}}-\frac{2 a d \,f^{4} \ln \left(f x +e \right)}{\left(c f -d e \right)^{3} \left(a f -b e \right)^{3}}-\frac{2 b^{4} c f \ln \left(b x +a \right)}{\left(a d -b c \right)^{3} \left(a f -b e \right)^{3}}-\frac{2 b^{4} d e \ln \left(b x +a \right)}{\left(a d -b c \right)^{3} \left(a f -b e \right)^{3}}-\frac{4 b c \,d^{3} f \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} \left(c f -d e \right)^{3}}-\frac{2 b c \,f^{4} \ln \left(f x +e \right)}{\left(c f -d e \right)^{3} \left(a f -b e \right)^{3}}+\frac{2 b \,d^{4} e \ln \left(d x +c \right)}{\left(a d -b c \right)^{3} \left(c f -d e \right)^{3}}+\frac{4 b d e \,f^{3} \ln \left(f x +e \right)}{\left(c f -d e \right)^{3} \left(a f -b e \right)^{3}}-\frac{b^{3}}{\left(a d -b c \right)^{2} \left(a f -b e \right)^{2} \left(b x +a \right)}-\frac{d^{3}}{\left(a d -b c \right)^{2} \left(c f -d e \right)^{2} \left(d x +c \right)}-\frac{f^{3}}{\left(c f -d e \right)^{2} \left(a f -b e \right)^{2} \left(f x +e \right)}"," ",0,"-d^3/(a*d-b*c)^2/(c*f-d*e)^2/(d*x+c)+2*d^4/(a*d-b*c)^3/(c*f-d*e)^3*ln(d*x+c)*a*f-4*d^3/(a*d-b*c)^3/(c*f-d*e)^3*ln(d*x+c)*b*c*f+2*d^4/(a*d-b*c)^3/(c*f-d*e)^3*ln(d*x+c)*b*e-b^3/(a*d-b*c)^2/(a*f-b*e)^2/(b*x+a)+4*b^3/(a*d-b*c)^3/(a*f-b*e)^3*ln(b*x+a)*a*d*f-2*b^4/(a*d-b*c)^3/(a*f-b*e)^3*ln(b*x+a)*c*f-2*b^4/(a*d-b*c)^3/(a*f-b*e)^3*ln(b*x+a)*d*e-f^3/(c*f-d*e)^2/(a*f-b*e)^2/(f*x+e)-2*f^4/(c*f-d*e)^3/(a*f-b*e)^3*ln(f*x+e)*a*d-2*f^4/(c*f-d*e)^3/(a*f-b*e)^3*ln(f*x+e)*b*c+4*f^3/(c*f-d*e)^3/(a*f-b*e)^3*ln(f*x+e)*b*d*e","A"
1716,1,1076,489,0.035000," ","int(1/(b*x+a)^3/(d*x+c)^3/(f*x+e)^3,x)","\frac{21 a^{2} b^{5} d^{2} f^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{5} \left(a f -b e \right)^{5}}-\frac{6 a^{2} d^{7} f^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{5} \left(c f -d e \right)^{5}}+\frac{6 a^{2} d^{2} f^{7} \ln \left(f x +e \right)}{\left(c f -d e \right)^{5} \left(a f -b e \right)^{5}}-\frac{21 a \,b^{6} c d \,f^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{5} \left(a f -b e \right)^{5}}-\frac{21 a \,b^{6} d^{2} e f \ln \left(b x +a \right)}{\left(a d -b c \right)^{5} \left(a f -b e \right)^{5}}+\frac{21 a b c \,d^{6} f^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{5} \left(c f -d e \right)^{5}}+\frac{9 a b c d \,f^{7} \ln \left(f x +e \right)}{\left(c f -d e \right)^{5} \left(a f -b e \right)^{5}}-\frac{9 a b \,d^{7} e f \ln \left(d x +c \right)}{\left(a d -b c \right)^{5} \left(c f -d e \right)^{5}}-\frac{21 a b \,d^{2} e \,f^{6} \ln \left(f x +e \right)}{\left(c f -d e \right)^{5} \left(a f -b e \right)^{5}}+\frac{6 b^{7} c^{2} f^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{5} \left(a f -b e \right)^{5}}+\frac{9 b^{7} c d e f \ln \left(b x +a \right)}{\left(a d -b c \right)^{5} \left(a f -b e \right)^{5}}+\frac{6 b^{7} d^{2} e^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{5} \left(a f -b e \right)^{5}}-\frac{21 b^{2} c^{2} d^{5} f^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{5} \left(c f -d e \right)^{5}}+\frac{6 b^{2} c^{2} f^{7} \ln \left(f x +e \right)}{\left(c f -d e \right)^{5} \left(a f -b e \right)^{5}}+\frac{21 b^{2} c \,d^{6} e f \ln \left(d x +c \right)}{\left(a d -b c \right)^{5} \left(c f -d e \right)^{5}}-\frac{21 b^{2} c d e \,f^{6} \ln \left(f x +e \right)}{\left(c f -d e \right)^{5} \left(a f -b e \right)^{5}}-\frac{6 b^{2} d^{7} e^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{5} \left(c f -d e \right)^{5}}+\frac{21 b^{2} d^{2} e^{2} f^{5} \ln \left(f x +e \right)}{\left(c f -d e \right)^{5} \left(a f -b e \right)^{5}}-\frac{6 a \,b^{5} d f}{\left(a d -b c \right)^{4} \left(a f -b e \right)^{4} \left(b x +a \right)}+\frac{3 a \,d^{6} f}{\left(a d -b c \right)^{4} \left(c f -d e \right)^{4} \left(d x +c \right)}+\frac{3 a d \,f^{6}}{\left(c f -d e \right)^{4} \left(a f -b e \right)^{4} \left(f x +e \right)}+\frac{3 b^{6} c f}{\left(a d -b c \right)^{4} \left(a f -b e \right)^{4} \left(b x +a \right)}+\frac{3 b^{6} d e}{\left(a d -b c \right)^{4} \left(a f -b e \right)^{4} \left(b x +a \right)}-\frac{6 b c \,d^{5} f}{\left(a d -b c \right)^{4} \left(c f -d e \right)^{4} \left(d x +c \right)}+\frac{3 b c \,f^{6}}{\left(c f -d e \right)^{4} \left(a f -b e \right)^{4} \left(f x +e \right)}+\frac{3 b \,d^{6} e}{\left(a d -b c \right)^{4} \left(c f -d e \right)^{4} \left(d x +c \right)}-\frac{6 b d e \,f^{5}}{\left(c f -d e \right)^{4} \left(a f -b e \right)^{4} \left(f x +e \right)}-\frac{b^{5}}{2 \left(a d -b c \right)^{3} \left(a f -b e \right)^{3} \left(b x +a \right)^{2}}+\frac{d^{5}}{2 \left(a d -b c \right)^{3} \left(c f -d e \right)^{3} \left(d x +c \right)^{2}}-\frac{f^{5}}{2 \left(c f -d e \right)^{3} \left(a f -b e \right)^{3} \left(f x +e \right)^{2}}"," ",0,"-1/2*b^5/(a*d-b*c)^3/(a*f-b*e)^3/(b*x+a)^2+1/2*d^5/(a*d-b*c)^3/(c*f-d*e)^3/(d*x+c)^2-1/2*f^5/(c*f-d*e)^3/(a*f-b*e)^3/(f*x+e)^2+3*d^6/(a*d-b*c)^4/(c*f-d*e)^4/(d*x+c)*a*f+6*b^7/(a*d-b*c)^5/(a*f-b*e)^5*ln(b*x+a)*c^2*f^2+6*b^7/(a*d-b*c)^5/(a*f-b*e)^5*ln(b*x+a)*d^2*e^2+3*f^6/(c*f-d*e)^4/(a*f-b*e)^4/(f*x+e)*a*d+3*f^6/(c*f-d*e)^4/(a*f-b*e)^4/(f*x+e)*b*c+6*f^7/(c*f-d*e)^5/(a*f-b*e)^5*ln(f*x+e)*a^2*d^2+6*f^7/(c*f-d*e)^5/(a*f-b*e)^5*ln(f*x+e)*b^2*c^2-6*d^7/(a*d-b*c)^5/(c*f-d*e)^5*ln(d*x+c)*a^2*f^2-6*d^7/(a*d-b*c)^5/(c*f-d*e)^5*ln(d*x+c)*b^2*e^2+3*b^6/(a*d-b*c)^4/(a*f-b*e)^4/(b*x+a)*c*f+3*b^6/(a*d-b*c)^4/(a*f-b*e)^4/(b*x+a)*d*e+3*d^6/(a*d-b*c)^4/(c*f-d*e)^4/(d*x+c)*b*e-21*b^6/(a*d-b*c)^5/(a*f-b*e)^5*ln(b*x+a)*a*c*d*f^2+21*d^6/(a*d-b*c)^5/(c*f-d*e)^5*ln(d*x+c)*b^2*c*e*f+21*d^6/(a*d-b*c)^5/(c*f-d*e)^5*ln(d*x+c)*a*b*c*f^2-21*f^6/(c*f-d*e)^5/(a*f-b*e)^5*ln(f*x+e)*b^2*c*d*e+9*b^7/(a*d-b*c)^5/(a*f-b*e)^5*ln(b*x+a)*c*d*e*f+9*f^7/(c*f-d*e)^5/(a*f-b*e)^5*ln(f*x+e)*a*b*c*d-21*f^6/(c*f-d*e)^5/(a*f-b*e)^5*ln(f*x+e)*a*b*d^2*e-21*b^6/(a*d-b*c)^5/(a*f-b*e)^5*ln(b*x+a)*a*d^2*e*f-9*d^7/(a*d-b*c)^5/(c*f-d*e)^5*ln(d*x+c)*a*b*e*f+21*b^5/(a*d-b*c)^5/(a*f-b*e)^5*ln(b*x+a)*a^2*d^2*f^2-6*d^5/(a*d-b*c)^4/(c*f-d*e)^4/(d*x+c)*b*c*f-21*d^5/(a*d-b*c)^5/(c*f-d*e)^5*ln(d*x+c)*b^2*c^2*f^2-6*b^5/(a*d-b*c)^4/(a*f-b*e)^4/(b*x+a)*a*d*f-6*f^5/(c*f-d*e)^4/(a*f-b*e)^4/(f*x+e)*b*d*e+21*f^5/(c*f-d*e)^5/(a*f-b*e)^5*ln(f*x+e)*b^2*d^2*e^2","B"
1717,1,549,148,0.023000," ","int((d*x+c)^(3/2)/(b*x+a)^2/(f*x+e),x)","\frac{a^{2} d^{2} f \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\left(a f -b e \right)^{2} \sqrt{\left(a d -b c \right) b}\, b}+\frac{a c d f \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\left(a f -b e \right)^{2} \sqrt{\left(a d -b c \right) b}}-\frac{3 a \,d^{2} e \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\left(a f -b e \right)^{2} \sqrt{\left(a d -b c \right) b}}-\frac{2 b \,c^{2} f \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\left(a f -b e \right)^{2} \sqrt{\left(a d -b c \right) b}}+\frac{3 b c d e \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\left(a f -b e \right)^{2} \sqrt{\left(a d -b c \right) b}}-\frac{2 c^{2} f^{2} \arctanh \left(\frac{\sqrt{d x +c}\, f}{\sqrt{\left(c f -d e \right) f}}\right)}{\left(a f -b e \right)^{2} \sqrt{\left(c f -d e \right) f}}+\frac{4 c d e f \arctanh \left(\frac{\sqrt{d x +c}\, f}{\sqrt{\left(c f -d e \right) f}}\right)}{\left(a f -b e \right)^{2} \sqrt{\left(c f -d e \right) f}}-\frac{2 d^{2} e^{2} \arctanh \left(\frac{\sqrt{d x +c}\, f}{\sqrt{\left(c f -d e \right) f}}\right)}{\left(a f -b e \right)^{2} \sqrt{\left(c f -d e \right) f}}-\frac{\sqrt{d x +c}\, a^{2} d^{2} f}{\left(a f -b e \right)^{2} \left(b d x +a d \right) b}+\frac{\sqrt{d x +c}\, a c d f}{\left(a f -b e \right)^{2} \left(b d x +a d \right)}+\frac{\sqrt{d x +c}\, a \,d^{2} e}{\left(a f -b e \right)^{2} \left(b d x +a d \right)}-\frac{\sqrt{d x +c}\, b c d e}{\left(a f -b e \right)^{2} \left(b d x +a d \right)}"," ",0,"-2/(a*f-b*e)^2/((c*f-d*e)*f)^(1/2)*arctanh((d*x+c)^(1/2)*f/((c*f-d*e)*f)^(1/2))*c^2*f^2+4*d/(a*f-b*e)^2/((c*f-d*e)*f)^(1/2)*arctanh((d*x+c)^(1/2)*f/((c*f-d*e)*f)^(1/2))*c*e*f-2*d^2/(a*f-b*e)^2/((c*f-d*e)*f)^(1/2)*arctanh((d*x+c)^(1/2)*f/((c*f-d*e)*f)^(1/2))*e^2-d^2/(a*f-b*e)^2/b*(d*x+c)^(1/2)/(b*d*x+a*d)*a^2*f+d/(a*f-b*e)^2*(d*x+c)^(1/2)/(b*d*x+a*d)*a*f*c+d^2/(a*f-b*e)^2*(d*x+c)^(1/2)/(b*d*x+a*d)*e*a-d/(a*f-b*e)^2*(d*x+c)^(1/2)/(b*d*x+a*d)*e*b*c+d^2/(a*f-b*e)^2/b/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*a^2*f+d/(a*f-b*e)^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*a*f*c-2/(a*f-b*e)^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^2*f*b-3*d^2/(a*f-b*e)^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*e*a+3*d/(a*f-b*e)^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*e*b*c","B"
1718,1,73,71,0.004000," ","int((b*x+a)*(B*x+A)*(e*x+d)^(7/2),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)}{1287 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)/e^3","A"
1719,1,73,71,0.005000," ","int((b*x+a)*(B*x+A)*(e*x+d)^(5/2),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)}{693 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)/e^3","A"
1720,1,73,71,0.003000," ","int((b*x+a)*(B*x+A)*(e*x+d)^(3/2),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)}{315 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)/e^3","A"
1721,1,73,71,0.006000," ","int((b*x+a)*(B*x+A)*(e*x+d)^(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)}{105 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)/e^3","A"
1722,1,73,71,0.005000," ","int((b*x+a)*(B*x+A)/(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)}{15 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)/e^3","A"
1723,1,73,71,0.004000," ","int((b*x+a)*(B*x+A)/(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)}{3 \sqrt{e x +d}\, 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)/e^3","A"
1724,1,72,71,0.005000," ","int((b*x+a)*(B*x+A)/(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)}{3 \left(e x +d \right)^{\frac{3}{2}} 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)/e^3","A"
1725,1,73,71,0.004000," ","int((b*x+a)*(B*x+A)/(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)}{15 \left(e x +d \right)^{\frac{5}{2}} 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)/e^3","A"
1726,1,169,112,0.007000," ","int((b*x+a)^2*(B*x+A)*(e*x+d)^(7/2),x)","\frac{2 \left(e x +d \right)^{\frac{9}{2}} \left(429 b^{2} B \,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^{2} A \,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"
1727,1,169,112,0.007000," ","int((b*x+a)^2*(B*x+A)*(e*x+d)^(5/2),x)","\frac{2 \left(e x +d \right)^{\frac{7}{2}} \left(693 b^{2} B \,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^{2} A \,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"
1728,1,169,112,0.006000," ","int((b*x+a)^2*(B*x+A)*(e*x+d)^(3/2),x)","\frac{2 \left(e x +d \right)^{\frac{5}{2}} \left(315 b^{2} B \,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^{2} A \,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"
1729,1,169,112,0.006000," ","int((b*x+a)^2*(B*x+A)*(e*x+d)^(1/2),x)","\frac{2 \left(e x +d \right)^{\frac{3}{2}} \left(35 b^{2} B \,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^{2} A \,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"
1730,1,169,112,0.008000," ","int((b*x+a)^2*(B*x+A)/(e*x+d)^(1/2),x)","\frac{2 \sqrt{e x +d}\, \left(15 b^{2} B \,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^{2} A \,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)}{105 e^{4}}"," ",0,"2/105*(e*x+d)^(1/2)*(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^4","A"
1731,1,169,112,0.007000," ","int((b*x+a)^2*(B*x+A)/(e*x+d)^(3/2),x)","-\frac{2 \left(-3 b^{2} B \,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^{2} A \,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/(e*x+d)^(1/2)*(-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^4","A"
1732,1,168,112,0.007000," ","int((b*x+a)^2*(B*x+A)/(e*x+d)^(5/2),x)","-\frac{2 \left(-b^{2} B \,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^{2} A \,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/(e*x+d)^(3/2)*(-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^4","A"
1733,1,169,112,0.008000," ","int((b*x+a)^2*(B*x+A)/(e*x+d)^(7/2),x)","-\frac{2 \left(-15 b^{2} B \,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^{2} A \,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/(e*x+d)^(5/2)*(-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^4","A"
1734,1,301,153,0.008000," ","int((b*x+a)^3*(B*x+A)*(e*x+d)^(7/2),x)","\frac{2 \left(e x +d \right)^{\frac{9}{2}} \left(6435 B \,b^{3} 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^{3} A \,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)}{109395 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)/e^5","A"
1735,1,301,153,0.008000," ","int((b*x+a)^3*(B*x+A)*(e*x+d)^(5/2),x)","\frac{2 \left(e x +d \right)^{\frac{7}{2}} \left(3003 B \,b^{3} 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^{3} A \,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)}{45045 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)/e^5","A"
1736,1,301,153,0.009000," ","int((b*x+a)^3*(B*x+A)*(e*x+d)^(3/2),x)","\frac{2 \left(e x +d \right)^{\frac{5}{2}} \left(1155 B \,b^{3} 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^{3} A \,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)}{15015 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)/e^5","A"
1737,1,301,153,0.009000," ","int((b*x+a)^3*(B*x+A)*(e*x+d)^(1/2),x)","\frac{2 \left(e x +d \right)^{\frac{3}{2}} \left(315 B \,b^{3} 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^{3} A \,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)}{3465 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)/e^5","A"
1738,1,301,153,0.006000," ","int((b*x+a)^3*(B*x+A)/(e*x+d)^(1/2),x)","\frac{2 \sqrt{e x +d}\, \left(35 B \,b^{3} 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^{3} A \,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)}{315 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)/e^5","A"
1739,1,301,153,0.008000," ","int((b*x+a)^3*(B*x+A)/(e*x+d)^(3/2),x)","-\frac{2 \left(-5 B \,b^{3} 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^{3} A \,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)}{35 \sqrt{e x +d}\, 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)/e^5","A"
1740,1,301,153,0.007000," ","int((b*x+a)^3*(B*x+A)/(e*x+d)^(5/2),x)","-\frac{2 \left(-3 B \,b^{3} 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^{3} A \,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)}{15 \left(e x +d \right)^{\frac{3}{2}} 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)/e^5","A"
1741,1,301,153,0.008000," ","int((b*x+a)^3*(B*x+A)/(e*x+d)^(7/2),x)","-\frac{2 \left(-5 B \,b^{3} 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^{3} A \,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)}{15 \left(e x +d \right)^{\frac{5}{2}} 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)/e^5","A"
1742,1,820,170,0.018000," ","int((B*x+A)*(e*x+d)^(7/2)/(b*x+a),x)","\frac{2 A \,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 \,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 \,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 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 A \,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 B \,a^{5} 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{8 B \,a^{4} 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{12 B \,a^{3} 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{8 B \,a^{2} 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 a \,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{2 \sqrt{e x +d}\, A \,a^{3} e^{3}}{b^{4}}+\frac{6 \sqrt{e x +d}\, A \,a^{2} d \,e^{2}}{b^{3}}-\frac{6 \sqrt{e x +d}\, A a \,d^{2} e}{b^{2}}+\frac{2 \sqrt{e x +d}\, A \,d^{3}}{b}+\frac{2 \sqrt{e x +d}\, B \,a^{4} e^{3}}{b^{5}}-\frac{6 \sqrt{e x +d}\, B \,a^{3} d \,e^{2}}{b^{4}}+\frac{6 \sqrt{e x +d}\, B \,a^{2} d^{2} e}{b^{3}}-\frac{2 \sqrt{e x +d}\, B a \,d^{3}}{b^{2}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} A \,a^{2} e^{2}}{3 b^{3}}-\frac{4 \left(e x +d \right)^{\frac{3}{2}} A a d e}{3 b^{2}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} A \,d^{2}}{3 b}-\frac{2 \left(e x +d \right)^{\frac{3}{2}} B \,a^{3} e^{2}}{3 b^{4}}+\frac{4 \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} d e}{3 b^{3}}-\frac{2 \left(e x +d \right)^{\frac{3}{2}} B a \,d^{2}}{3 b^{2}}-\frac{2 \left(e x +d \right)^{\frac{5}{2}} A a e}{5 b^{2}}+\frac{2 \left(e x +d \right)^{\frac{5}{2}} A d}{5 b}+\frac{2 \left(e x +d \right)^{\frac{5}{2}} B \,a^{2} e}{5 b^{3}}-\frac{2 \left(e x +d \right)^{\frac{5}{2}} B a d}{5 b^{2}}+\frac{2 \left(e x +d \right)^{\frac{7}{2}} A}{7 b}-\frac{2 \left(e x +d \right)^{\frac{7}{2}} B a}{7 b^{2}}+\frac{2 \left(e x +d \right)^{\frac{9}{2}} B}{9 b e}"," ",0,"2/5/b*A*(e*x+d)^(5/2)*d+2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)*b/((a*e-b*d)*b)^(1/2))*A*d^4+2/b*A*d^3*(e*x+d)^(1/2)+2/3/b*A*(e*x+d)^(3/2)*d^2-2/7/b^2*B*(e*x+d)^(7/2)*a+2*e^4/b^4/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)*b/((a*e-b*d)*b)^(1/2))*A*a^4-2*e^4/b^5/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)*b/((a*e-b*d)*b)^(1/2))*B*a^5+6*e^2/b^3*A*a^2*d*(e*x+d)^(1/2)+4/3*e/b^3*B*(e*x+d)^(3/2)*a^2*d-4/3*e/b^2*A*(e*x+d)^(3/2)*a*d-6*e/b^2*A*a*d^2*(e*x+d)^(1/2)-6*e^2/b^4*B*a^3*d*(e*x+d)^(1/2)+6*e/b^3*B*a^2*d^2*(e*x+d)^(1/2)-2/b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)*b/((a*e-b*d)*b)^(1/2))*B*a*d^4+2*e^3/b^5*B*a^4*(e*x+d)^(1/2)+2/3*e^2/b^3*A*(e*x+d)^(3/2)*a^2-2/3*e^2/b^4*B*(e*x+d)^(3/2)*a^3-2*e^3/b^4*A*a^3*(e*x+d)^(1/2)+2/7/b*A*(e*x+d)^(7/2)-2/b^2*B*a*d^3*(e*x+d)^(1/2)-2/5/b^2*B*(e*x+d)^(5/2)*a*d-2/3/b^2*B*(e*x+d)^(3/2)*a*d^2-2/5*e/b^2*A*(e*x+d)^(5/2)*a+2/5*e/b^3*B*(e*x+d)^(5/2)*a^2+2/9*B*(e*x+d)^(9/2)/b/e-12*e^2/b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)*b/((a*e-b*d)*b)^(1/2))*B*a^3*d^2+8*e/b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)*b/((a*e-b*d)*b)^(1/2))*B*a^2*d^3-8*e^3/b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)*b/((a*e-b*d)*b)^(1/2))*A*a^3*d+12*e^2/b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)*b/((a*e-b*d)*b)^(1/2))*A*a^2*d^2-8*e/b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)*b/((a*e-b*d)*b)^(1/2))*A*a*d^3+8*e^3/b^4/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)*b/((a*e-b*d)*b)^(1/2))*B*a^4*d","B"
1743,1,573,140,0.013000," ","int((B*x+A)*(e*x+d)^(5/2)/(b*x+a),x)","-\frac{2 A \,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 \,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 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 A \,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 B \,a^{4} 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{6 B \,a^{3} 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{6 B \,a^{2} 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 a \,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{2 \sqrt{e x +d}\, A \,a^{2} e^{2}}{b^{3}}-\frac{4 \sqrt{e x +d}\, A a d e}{b^{2}}+\frac{2 \sqrt{e x +d}\, A \,d^{2}}{b}-\frac{2 \sqrt{e x +d}\, B \,a^{3} e^{2}}{b^{4}}+\frac{4 \sqrt{e x +d}\, B \,a^{2} d e}{b^{3}}-\frac{2 \sqrt{e x +d}\, B a \,d^{2}}{b^{2}}-\frac{2 \left(e x +d \right)^{\frac{3}{2}} A a e}{3 b^{2}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} A d}{3 b}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} e}{3 b^{3}}-\frac{2 \left(e x +d \right)^{\frac{3}{2}} B a d}{3 b^{2}}+\frac{2 \left(e x +d \right)^{\frac{5}{2}} A}{5 b}-\frac{2 \left(e x +d \right)^{\frac{5}{2}} B a}{5 b^{2}}+\frac{2 \left(e x +d \right)^{\frac{7}{2}} B}{7 b e}"," ",0,"2/7*B*(e*x+d)^(7/2)/b/e+2/5/b*A*(e*x+d)^(5/2)-2/5/b^2*B*(e*x+d)^(5/2)*a-2/3*e/b^2*A*(e*x+d)^(3/2)*a+2/3/b*A*(e*x+d)^(3/2)*d+2/3*e/b^3*B*(e*x+d)^(3/2)*a^2-2/3/b^2*B*(e*x+d)^(3/2)*a*d+2*e^2/b^3*A*(e*x+d)^(1/2)*a^2-4*e/b^2*A*(e*x+d)^(1/2)*a*d+2/b*A*(e*x+d)^(1/2)*d^2-2*e^2/b^4*B*(e*x+d)^(1/2)*a^3+4*e/b^3*B*(e*x+d)^(1/2)*a^2*d-2/b^2*B*(e*x+d)^(1/2)*a*d^2-2*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*a^3+6*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*a^2*d-6*e/b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*a*d^2+2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*d^3+2*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^4-6*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*a^3*d+6*e/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^2*d^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*a*d^3","B"
1744,1,370,110,0.011000," ","int((B*x+A)*(e*x+d)^(3/2)/(b*x+a),x)","\frac{2 A \,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 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 A \,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 B \,a^{3} 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{4 B \,a^{2} 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 a \,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{2 \sqrt{e x +d}\, A a e}{b^{2}}+\frac{2 \sqrt{e x +d}\, A d}{b}+\frac{2 \sqrt{e x +d}\, B \,a^{2} e}{b^{3}}-\frac{2 \sqrt{e x +d}\, B a d}{b^{2}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} A}{3 b}-\frac{2 \left(e x +d \right)^{\frac{3}{2}} B a}{3 b^{2}}+\frac{2 \left(e x +d \right)^{\frac{5}{2}} B}{5 b e}"," ",0,"2/5*B*(e*x+d)^(5/2)/b/e+2/3/b*A*(e*x+d)^(3/2)-2/3/b^2*B*(e*x+d)^(3/2)*a-2*e/b^2*A*(e*x+d)^(1/2)*a+2/b*A*(e*x+d)^(1/2)*d+2*e/b^3*B*(e*x+d)^(1/2)*a^2-2/b^2*B*(e*x+d)^(1/2)*a*d+2*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*a^2-4*e/b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*a*d+2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*d^2-2*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*a^3+4*e/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^2*d-2/b/((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","B"
1745,1,211,82,0.010000," ","int((B*x+A)*(e*x+d)^(1/2)/(b*x+a),x)","-\frac{2 A 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 A 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 B \,a^{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 a 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{2 \sqrt{e x +d}\, A}{b}-\frac{2 \sqrt{e x +d}\, B a}{b^{2}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} B}{3 b e}"," ",0,"2/3*B*(e*x+d)^(3/2)/b/e+2/b*A*(e*x+d)^(1/2)-2/b^2*B*(e*x+d)^(1/2)*a-2*e/b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*a+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*e/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^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*a*d","B"
1746,1,96,62,0.010000," ","int((B*x+A)/(b*x+a)/(e*x+d)^(1/2),x)","\frac{2 A \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 B a \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 \sqrt{e x +d}\, B}{b e}"," ",0,"2*B*(e*x+d)^(1/2)/b/e+2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A-2/b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*a","A"
1747,1,142,76,0.012000," ","int((B*x+A)/(b*x+a)/(e*x+d)^(3/2),x)","-\frac{2 A 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 B a \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 A}{\left(a e -b d \right) \sqrt{e x +d}}+\frac{2 B d}{\left(a e -b d \right) \sqrt{e x +d}\, e}"," ",0,"-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)*A*b+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*a-2/(a*e-b*d)/(e*x+d)^(1/2)*A+2/e/(a*e-b*d)/(e*x+d)^(1/2)*B*d","A"
1748,1,187,103,0.014000," ","int((B*x+A)/(b*x+a)/(e*x+d)^(5/2),x)","\frac{2 A \,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 a b \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 A b}{\left(a e -b d \right)^{2} \sqrt{e x +d}}-\frac{2 B a}{\left(a e -b d \right)^{2} \sqrt{e x +d}}-\frac{2 A}{3 \left(a e -b d \right) \left(e x +d \right)^{\frac{3}{2}}}+\frac{2 B d}{3 \left(a e -b d \right) \left(e x +d \right)^{\frac{3}{2}} e}"," ",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)*A-2*b/(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*a-2/3/(a*e-b*d)/(e*x+d)^(3/2)*A+2/3/e/(a*e-b*d)/(e*x+d)^(3/2)*B*d+2/(a*e-b*d)^2/(e*x+d)^(1/2)*A*b-2/(a*e-b*d)^2/(e*x+d)^(1/2)*B*a","A"
1749,1,234,131,0.016000," ","int((B*x+A)/(b*x+a)/(e*x+d)^(7/2),x)","-\frac{2 A \,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 a \,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)^{3} \sqrt{\left(a e -b d \right) b}}-\frac{2 A \,b^{2}}{\left(a e -b d \right)^{3} \sqrt{e x +d}}+\frac{2 B a b}{\left(a e -b d \right)^{3} \sqrt{e x +d}}+\frac{2 A b}{3 \left(a e -b d \right)^{2} \left(e x +d \right)^{\frac{3}{2}}}-\frac{2 B a}{3 \left(a e -b d \right)^{2} \left(e x +d \right)^{\frac{3}{2}}}-\frac{2 A}{5 \left(a e -b d \right) \left(e x +d \right)^{\frac{5}{2}}}+\frac{2 B d}{5 \left(a e -b d \right) \left(e x +d \right)^{\frac{5}{2}} e}"," ",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)*A+2*b^2/(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)*B*a-2/5/(a*e-b*d)/(e*x+d)^(5/2)*A+2/5/e/(a*e-b*d)/(e*x+d)^(5/2)*B*d-2/(a*e-b*d)^3*b^2/(e*x+d)^(1/2)*A+2/(a*e-b*d)^3*b/(e*x+d)^(1/2)*B*a+2/3/(a*e-b*d)^2/(e*x+d)^(3/2)*A*b-2/3/(a*e-b*d)^2/(e*x+d)^(3/2)*B*a","A"
1750,1,915,230,0.023000," ","int((B*x+A)*(e*x+d)^(7/2)/(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 x e +a e \right) b^{4}}-\frac{3 \sqrt{e x +d}\, A \,a^{2} d \,e^{3}}{\left(b x e +a e \right) b^{3}}+\frac{3 \sqrt{e x +d}\, A a \,d^{2} e^{2}}{\left(b x e +a e \right) b^{2}}-\frac{\sqrt{e x +d}\, A \,d^{3} e}{\left(b x e +a e \right) b}-\frac{\sqrt{e x +d}\, B \,a^{4} e^{4}}{\left(b x e +a e \right) b^{5}}+\frac{3 \sqrt{e x +d}\, B \,a^{3} d \,e^{3}}{\left(b x e +a e \right) b^{4}}-\frac{3 \sqrt{e x +d}\, B \,a^{2} d^{2} e^{2}}{\left(b x e +a e \right) b^{3}}+\frac{\sqrt{e x +d}\, B a \,d^{3} e}{\left(b x e +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,"2/5/b^2*A*(e*x+d)^(5/2)*e+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*(e*x+d)^(1/2)*d^3+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^4-4/5/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+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^4-7/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)+6/b^2*A*(e*x+d)^(1/2)*d^2*e-8/b^5*B*(e*x+d)^(1/2)*a^3*e^3-8/3/b^3*B*(e*x+d)^(3/2)*a*d*e-12/b^3*A*(e*x+d)^(1/2)*a*d*e^2+18/b^4*B*(e*x+d)^(1/2)*a^2*d*e^2-12/b^3*B*(e*x+d)^(1/2)*a*d^2*e-1/b^5*(e*x+d)^(1/2)/(b*e*x+a*e)*B*a^4*e^4+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+2/b^4*B*(e*x+d)^(3/2)*a^2*e^2+6/b^4*A*(e*x+d)^(1/2)*a^2*e^3-1/b*(e*x+d)^(1/2)/(b*e*x+a*e)*A*d^3*e+1/b^4*(e*x+d)^(1/2)/(b*e*x+a*e)*A*a^3*e^4+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*a*d^2*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*a^3*d*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^2-15/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^3*(e*x+d)^(1/2)/(b*e*x+a*e)*B*a^2*d^2*e^2+3/b^2*(e*x+d)^(1/2)/(b*e*x+a*e)*A*a*d^2*e^2+3/b^4*(e*x+d)^(1/2)/(b*e*x+a*e)*B*a^3*d*e^3","B"
1751,1,626,192,0.019000," ","int((B*x+A)*(e*x+d)^(5/2)/(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 x e +a e \right) b^{3}}+\frac{2 \sqrt{e x +d}\, A a d \,e^{2}}{\left(b x e +a e \right) b^{2}}-\frac{\sqrt{e x +d}\, A \,d^{2} e}{\left(b x e +a e \right) b}+\frac{\sqrt{e x +d}\, B \,a^{3} e^{3}}{\left(b x e +a e \right) b^{4}}-\frac{2 \sqrt{e x +d}\, B \,a^{2} d \,e^{2}}{\left(b x e +a e \right) b^{3}}+\frac{\sqrt{e x +d}\, B a \,d^{2} e}{\left(b x e +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"
1752,1,381,156,0.020000," ","int((B*x+A)*(e*x+d)^(3/2)/(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 x e +a e \right) b^{2}}-\frac{\sqrt{e x +d}\, A d e}{\left(b x e +a e \right) b}-\frac{\sqrt{e x +d}\, B \,a^{2} e^{2}}{\left(b x e +a e \right) b^{3}}+\frac{\sqrt{e x +d}\, B a d e}{\left(b x e +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*x+d)^(1/2)*e-4/b^3*B*(e*x+d)^(1/2)*a*e+2/b^2*B*(e*x+d)^(1/2)*d+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"
1753,1,186,126,0.016000," ","int((B*x+A)*(e*x+d)^(1/2)/(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 x e +a e \right) b}+\frac{\sqrt{e x +d}\, B a e}{\left(b x e +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)*B*a*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)*B*a*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"
1754,1,195,91,0.015000," ","int((B*x+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,"e*(A*b-B*a)/(a*e-b*d)/b*(e*x+d)^(1/2)/(b*(e*x+d)+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)*B*a*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"
1755,1,253,125,0.022000," ","int((B*x+A)/(b*x+a)^2/(e*x+d)^(3/2),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 x e +a e \right)}+\frac{\sqrt{e x +d}\, B a e}{\left(a e -b d \right)^{2} \left(b x e +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)*B*a*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)*B*a*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"
1756,1,328,162,0.022000," ","int((B*x+A)/(b*x+a)^2/(e*x+d)^(5/2),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 x e +a e \right)}-\frac{\sqrt{e x +d}\, B a b e}{\left(a e -b d \right)^{3} \left(b x e +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)*B*a*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)*B*a*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)*B*a*e-2/(a*e-b*d)^3/(e*x+d)^(1/2)*B*b*d","B"
1757,1,403,198,0.024000," ","int((B*x+A)/(b*x+a)^2/(e*x+d)^(7/2),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 x e +a e \right)}+\frac{\sqrt{e x +d}\, B a \,b^{2} e}{\left(a e -b d \right)^{4} \left(b x e +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)*B*a*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)*B*a*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)*B*a*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)*B*a*e+2*b^2/(a*e-b*d)^4/(e*x+d)^(1/2)*B*d","B"
1758,1,940,242,0.030000," ","int((B*x+A)*(e*x+d)^(7/2)/(b*x+a)^3,x)","-\frac{11 \sqrt{e x +d}\, A \,a^{3} e^{5}}{4 \left(b x e +a e \right)^{2} b^{4}}+\frac{33 \sqrt{e x +d}\, A \,a^{2} d \,e^{4}}{4 \left(b x e +a e \right)^{2} b^{3}}-\frac{33 \sqrt{e x +d}\, A a \,d^{2} e^{3}}{4 \left(b x e +a e \right)^{2} b^{2}}+\frac{11 \sqrt{e x +d}\, A \,d^{3} e^{2}}{4 \left(b x e +a e \right)^{2} b}+\frac{15 \sqrt{e x +d}\, B \,a^{4} e^{5}}{4 \left(b x e +a e \right)^{2} b^{5}}-\frac{49 \sqrt{e x +d}\, B \,a^{3} d \,e^{4}}{4 \left(b x e +a e \right)^{2} b^{4}}+\frac{57 \sqrt{e x +d}\, B \,a^{2} d^{2} e^{3}}{4 \left(b x e +a e \right)^{2} b^{3}}-\frac{27 \sqrt{e x +d}\, B a \,d^{3} e^{2}}{4 \left(b x e +a e \right)^{2} b^{2}}+\frac{\sqrt{e x +d}\, B \,d^{4} e}{\left(b x e +a e \right)^{2} b}-\frac{13 \left(e x +d \right)^{\frac{3}{2}} A \,a^{2} e^{4}}{4 \left(b x e +a e \right)^{2} b^{3}}+\frac{35 A \,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 a d \,e^{3}}{2 \left(b x e +a e \right)^{2} b^{2}}-\frac{35 A 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}} A \,d^{2} e^{2}}{4 \left(b x e +a e \right)^{2} b}+\frac{35 A \,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{17 \left(e x +d \right)^{\frac{3}{2}} B \,a^{3} e^{4}}{4 \left(b x e +a e \right)^{2} b^{4}}-\frac{63 B \,a^{3} 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^{5}}-\frac{19 \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} d \,e^{3}}{2 \left(b x e +a e \right)^{2} b^{3}}+\frac{77 B \,a^{2} 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^{4}}+\frac{25 \left(e x +d \right)^{\frac{3}{2}} B a \,d^{2} e^{2}}{4 \left(b x e +a e \right)^{2} b^{2}}-\frac{119 B a \,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{\left(e x +d \right)^{\frac{3}{2}} B \,d^{3} e}{\left(b x e +a e \right)^{2} b}+\frac{7 B \,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{6 \sqrt{e x +d}\, A a \,e^{3}}{b^{4}}+\frac{6 \sqrt{e x +d}\, A d \,e^{2}}{b^{3}}+\frac{12 \sqrt{e x +d}\, B \,a^{2} e^{3}}{b^{5}}-\frac{18 \sqrt{e x +d}\, B a d \,e^{2}}{b^{4}}+\frac{6 \sqrt{e x +d}\, B \,d^{2} e}{b^{3}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} A \,e^{2}}{3 b^{3}}-\frac{2 \left(e x +d \right)^{\frac{3}{2}} B a \,e^{2}}{b^{4}}+\frac{4 \left(e x +d \right)^{\frac{3}{2}} B d e}{3 b^{3}}+\frac{2 \left(e x +d \right)^{\frac{5}{2}} B e}{5 b^{3}}"," ",0,"2/3/b^3*A*(e*x+d)^(3/2)*e^2+2/5*e/b^3*B*(e*x+d)^(5/2)+4/3*e/b^3*B*(e*x+d)^(3/2)*d-63/4/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^3*e^4+25/4/b^2/(b*e*x+a*e)^2*(e*x+d)^(3/2)*B*a*d^2*e^2+33/4/b^3/(b*e*x+a*e)^2*(e*x+d)^(1/2)*A*a^2*d*e^4-33/4/b^2/(b*e*x+a*e)^2*(e*x+d)^(1/2)*A*a*d^2*e^3-49/4/b^4/(b*e*x+a*e)^2*(e*x+d)^(1/2)*B*a^3*d*e^4+57/4/b^3/(b*e*x+a*e)^2*(e*x+d)^(1/2)*B*a^2*d^2*e^3-119/4/b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*a*d^2*e^2-27/4/b^2/(b*e*x+a*e)^2*(e*x+d)^(1/2)*B*a*d^3*e^2-35/2/b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*a*d*e^3+77/2/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^2*d*e^3-13/4/b/(b*e*x+a*e)^2*(e*x+d)^(3/2)*A*d^2*e^2+17/4/b^4/(b*e*x+a*e)^2*(e*x+d)^(3/2)*a^3*e^4*B-11/4/b^4/(b*e*x+a*e)^2*(e*x+d)^(1/2)*A*a^3*e^5+11/4/b/(b*e*x+a*e)^2*(e*x+d)^(1/2)*A*d^3*e^2+15/4/b^5/(b*e*x+a*e)^2*(e*x+d)^(1/2)*B*a^4*e^5+35/4/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^2*e^4+35/4/b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*d^2*e^2+e/b/(b*e*x+a*e)^2*(e*x+d)^(1/2)*B*d^4+7*e/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^3-e/b/(b*e*x+a*e)^2*(e*x+d)^(3/2)*B*d^3-18/b^4*B*(e*x+d)^(1/2)*a*d*e^2-13/4/b^3/(b*e*x+a*e)^2*(e*x+d)^(3/2)*A*a^2*e^4+13/2/b^2/(b*e*x+a*e)^2*(e*x+d)^(3/2)*A*a*d*e^3-19/2/b^3/(b*e*x+a*e)^2*(e*x+d)^(3/2)*B*a^2*d*e^3+6*e/b^3*B*(e*x+d)^(1/2)*d^2-2/b^4*B*(e*x+d)^(3/2)*a*e^2+12/b^5*B*(e*x+d)^(1/2)*a^2*e^3-6/b^4*A*(e*x+d)^(1/2)*a*e^3+6/b^3*A*(e*x+d)^(1/2)*d*e^2","B"
1759,1,626,205,0.025000," ","int((B*x+A)*(e*x+d)^(5/2)/(b*x+a)^3,x)","\frac{7 \sqrt{e x +d}\, A \,a^{2} e^{4}}{4 \left(b x e +a e \right)^{2} b^{3}}-\frac{7 \sqrt{e x +d}\, A a d \,e^{3}}{2 \left(b x e +a e \right)^{2} b^{2}}+\frac{7 \sqrt{e x +d}\, A \,d^{2} e^{2}}{4 \left(b x e +a e \right)^{2} b}-\frac{11 \sqrt{e x +d}\, B \,a^{3} e^{4}}{4 \left(b x e +a e \right)^{2} b^{4}}+\frac{13 \sqrt{e x +d}\, B \,a^{2} d \,e^{3}}{2 \left(b x e +a e \right)^{2} b^{3}}-\frac{19 \sqrt{e x +d}\, B a \,d^{2} e^{2}}{4 \left(b x e +a e \right)^{2} b^{2}}+\frac{\sqrt{e x +d}\, B \,d^{3} e}{\left(b x e +a e \right)^{2} b}+\frac{9 \left(e x +d \right)^{\frac{3}{2}} A a \,e^{3}}{4 \left(b x e +a e \right)^{2} b^{2}}-\frac{15 A 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}} A d \,e^{2}}{4 \left(b x e +a e \right)^{2} b}+\frac{15 A 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{13 \left(e x +d \right)^{\frac{3}{2}} B \,a^{2} e^{3}}{4 \left(b x e +a e \right)^{2} b^{3}}+\frac{35 B \,a^{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^{4}}+\frac{17 \left(e x +d \right)^{\frac{3}{2}} B a d \,e^{2}}{4 \left(b x e +a e \right)^{2} b^{2}}-\frac{55 B a 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{\left(e x +d \right)^{\frac{3}{2}} B \,d^{2} e}{\left(b x e +a e \right)^{2} b}+\frac{5 B \,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 \sqrt{e x +d}\, A \,e^{2}}{b^{3}}-\frac{6 \sqrt{e x +d}\, B a \,e^{2}}{b^{4}}+\frac{4 \sqrt{e x +d}\, B d e}{b^{3}}+\frac{2 \left(e x +d \right)^{\frac{3}{2}} B e}{3 b^{3}}"," ",0,"2/3*e/b^3*B*(e*x+d)^(3/2)+2/b^3*A*(e*x+d)^(1/2)*e^2-6/b^4*B*(e*x+d)^(1/2)*a*e^2+4*e/b^3*B*(e*x+d)^(1/2)*d+9/4/b^2/(b*e*x+a*e)^2*(e*x+d)^(3/2)*A*a*e^3-9/4/b/(b*e*x+a*e)^2*(e*x+d)^(3/2)*A*d*e^2-13/4/b^3/(b*e*x+a*e)^2*(e*x+d)^(3/2)*a^2*e^3*B+17/4/b^2/(b*e*x+a*e)^2*(e*x+d)^(3/2)*B*a*d*e^2-e/b/(b*e*x+a*e)^2*(e*x+d)^(3/2)*B*d^2+7/4/b^3/(b*e*x+a*e)^2*(e*x+d)^(1/2)*A*a^2*e^4-7/2/b^2/(b*e*x+a*e)^2*(e*x+d)^(1/2)*A*a*d*e^3+7/4/b/(b*e*x+a*e)^2*(e*x+d)^(1/2)*A*d^2*e^2-11/4/b^4/(b*e*x+a*e)^2*(e*x+d)^(1/2)*B*a^3*e^4+13/2/b^3/(b*e*x+a*e)^2*(e*x+d)^(1/2)*B*a^2*d*e^3-19/4/b^2/(b*e*x+a*e)^2*(e*x+d)^(1/2)*B*a*d^2*e^2+e/b/(b*e*x+a*e)^2*(e*x+d)^(1/2)*B*d^3-15/4/b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*a*e^3+15/4/b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*d*e^2+35/4/b^4/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*a^2*e^3-55/4/b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*a*d*e^2+5*e/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","B"
1760,1,360,173,0.020000," ","int((B*x+A)*(e*x+d)^(3/2)/(b*x+a)^3,x)","-\frac{3 \sqrt{e x +d}\, A a \,e^{3}}{4 \left(b x e +a e \right)^{2} b^{2}}+\frac{3 \sqrt{e x +d}\, A d \,e^{2}}{4 \left(b x e +a e \right)^{2} b}+\frac{7 \sqrt{e x +d}\, B \,a^{2} e^{3}}{4 \left(b x e +a e \right)^{2} b^{3}}-\frac{11 \sqrt{e x +d}\, B a d \,e^{2}}{4 \left(b x e +a e \right)^{2} b^{2}}+\frac{\sqrt{e x +d}\, B \,d^{2} e}{\left(b x e +a e \right)^{2} b}-\frac{5 \left(e x +d \right)^{\frac{3}{2}} A \,e^{2}}{4 \left(b x e +a e \right)^{2} b}+\frac{3 A \,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{9 \left(e x +d \right)^{\frac{3}{2}} B a \,e^{2}}{4 \left(b x e +a e \right)^{2} b^{2}}-\frac{15 B a \,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{\left(e x +d \right)^{\frac{3}{2}} B d e}{\left(b x e +a e \right)^{2} b}+\frac{3 B 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 \sqrt{e x +d}\, B e}{b^{3}}"," ",0,"2*e*B/b^3*(e*x+d)^(1/2)-5/4/b/(b*e*x+a*e)^2*(e*x+d)^(3/2)*A*e^2+9/4/b^2/(b*e*x+a*e)^2*(e*x+d)^(3/2)*B*a*e^2-e/b/(b*e*x+a*e)^2*(e*x+d)^(3/2)*B*d-3/4/b^2/(b*e*x+a*e)^2*(e*x+d)^(1/2)*A*a*e^3+3/4/b/(b*e*x+a*e)^2*(e*x+d)^(1/2)*A*d*e^2+7/4/b^3/(b*e*x+a*e)^2*(e*x+d)^(1/2)*B*a^2*e^3-11/4/b^2/(b*e*x+a*e)^2*(e*x+d)^(1/2)*B*a*d*e^2+e/b/(b*e*x+a*e)^2*(e*x+d)^(1/2)*B*d^2+3/4/b^2/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*A*e^2-15/4/b^3/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*a*e^2+3*e/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"
1761,1,339,137,0.018000," ","int((B*x+A)*(e*x+d)^(1/2)/(b*x+a)^3,x)","\frac{A \,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}} A \,e^{2}}{4 \left(b x e +a e \right)^{2} \left(a e -b d \right)}-\frac{5 \left(e x +d \right)^{\frac{3}{2}} B a \,e^{2}}{4 \left(b x e +a e \right)^{2} \left(a e -b d \right) b}+\frac{3 B a \,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}}-\frac{B d 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{\left(e x +d \right)^{\frac{3}{2}} B d e}{\left(b x e +a e \right)^{2} \left(a e -b d \right)}-\frac{\sqrt{e x +d}\, A \,e^{2}}{4 \left(b x e +a e \right)^{2} b}-\frac{3 \sqrt{e x +d}\, B a \,e^{2}}{4 \left(b x e +a e \right)^{2} b^{2}}+\frac{\sqrt{e x +d}\, B d e}{\left(b x e +a e \right)^{2} b}"," ",0,"1/4/(b*e*x+a*e)^2/(a*e-b*d)*(e*x+d)^(3/2)*A*e^2-5/4/(b*e*x+a*e)^2/(a*e-b*d)/b*(e*x+d)^(3/2)*B*a*e^2+e/(b*e*x+a*e)^2/(a*e-b*d)*(e*x+d)^(3/2)*B*d-1/4/(b*e*x+a*e)^2/b*(e*x+d)^(1/2)*A*e^2-3/4/(b*e*x+a*e)^2/b^2*(e*x+d)^(1/2)*B*a*e^2+e/(b*e*x+a*e)^2/b*(e*x+d)^(1/2)*B*d+1/4/(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*e^2+3/4/(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*a*e^2-e/(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)*B*d","B"
1762,1,436,137,0.019000," ","int((B*x+A)/(b*x+a)^3/(e*x+d)^(1/2),x)","\frac{3 \left(e x +d \right)^{\frac{3}{2}} A b \,e^{2}}{4 \left(b x e +a e \right)^{2} \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right)}+\frac{3 A \,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}}+\frac{B a \,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{\left(e x +d \right)^{\frac{3}{2}} B a \,e^{2}}{4 \left(b x e +a e \right)^{2} \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right)}-\frac{\left(e x +d \right)^{\frac{3}{2}} B b d e}{\left(b x e +a e \right)^{2} \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right)}-\frac{B d e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right) \sqrt{\left(a e -b d \right) b}}+\frac{5 \sqrt{e x +d}\, A \,e^{2}}{4 \left(b x e +a e \right)^{2} \left(a e -b d \right)}-\frac{\sqrt{e x +d}\, B a \,e^{2}}{4 \left(b x e +a e \right)^{2} \left(a e -b d \right) b}-\frac{\sqrt{e x +d}\, B d e}{\left(b x e +a e \right)^{2} \left(a e -b d \right)}"," ",0,"3/4/(b*e*x+a*e)^2/(a^2*e^2-2*a*b*d*e+b^2*d^2)*(e*x+d)^(3/2)*A*b*e^2+1/4/(b*e*x+a*e)^2/(a^2*e^2-2*a*b*d*e+b^2*d^2)*(e*x+d)^(3/2)*B*a*e^2-e/(b*e*x+a*e)^2/(a^2*e^2-2*a*b*d*e+b^2*d^2)*(e*x+d)^(3/2)*B*b*d+5/4/(b*e*x+a*e)^2/(a*e-b*d)*(e*x+d)^(1/2)*A*e^2-1/4/(b*e*x+a*e)^2/(a*e-b*d)/b*(e*x+d)^(1/2)*B*a*e^2-e/(b*e*x+a*e)^2/(a*e-b*d)*(e*x+d)^(1/2)*B*d+3/4/(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*e^2+1/4/(a^2*e^2-2*a*b*d*e+b^2*d^2)/b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*a*e^2-e/(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"
1763,1,485,174,0.024000," ","int((B*x+A)/(b*x+a)^3/(e*x+d)^(3/2),x)","-\frac{9 \sqrt{e x +d}\, A a b \,e^{3}}{4 \left(a e -b d \right)^{3} \left(b x e +a e \right)^{2}}+\frac{9 \sqrt{e x +d}\, A \,b^{2} d \,e^{2}}{4 \left(a e -b d \right)^{3} \left(b x e +a e \right)^{2}}+\frac{5 \sqrt{e x +d}\, B \,a^{2} e^{3}}{4 \left(a e -b d \right)^{3} \left(b x e +a e \right)^{2}}-\frac{\sqrt{e x +d}\, B a b d \,e^{2}}{4 \left(a e -b d \right)^{3} \left(b x e +a e \right)^{2}}-\frac{\sqrt{e x +d}\, B \,b^{2} d^{2} e}{\left(a e -b d \right)^{3} \left(b x e +a e \right)^{2}}-\frac{7 \left(e x +d \right)^{\frac{3}{2}} A \,b^{2} e^{2}}{4 \left(a e -b d \right)^{3} \left(b x e +a e \right)^{2}}-\frac{15 A 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{3 \left(e x +d \right)^{\frac{3}{2}} B a b \,e^{2}}{4 \left(a e -b d \right)^{3} \left(b x e +a e \right)^{2}}+\frac{3 B a \,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{\left(e x +d \right)^{\frac{3}{2}} B \,b^{2} d e}{\left(a e -b d \right)^{3} \left(b x e +a e \right)^{2}}+\frac{3 B b d 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 A \,e^{2}}{\left(a e -b d \right)^{3} \sqrt{e x +d}}+\frac{2 B d e}{\left(a e -b d \right)^{3} \sqrt{e x +d}}"," ",0,"-7/4/(a*e-b*d)^3/(b*e*x+a*e)^2*(e*x+d)^(3/2)*A*b^2*e^2+3/4/(a*e-b*d)^3/(b*e*x+a*e)^2*(e*x+d)^(3/2)*B*a*b*e^2+e/(a*e-b*d)^3/(b*e*x+a*e)^2*(e*x+d)^(3/2)*B*b^2*d-9/4/(a*e-b*d)^3/(b*e*x+a*e)^2*(e*x+d)^(1/2)*A*a*b*e^3+9/4/(a*e-b*d)^3/(b*e*x+a*e)^2*(e*x+d)^(1/2)*A*b^2*d*e^2+5/4/(a*e-b*d)^3/(b*e*x+a*e)^2*(e*x+d)^(1/2)*B*a^2*e^3-1/4/(a*e-b*d)^3/(b*e*x+a*e)^2*(e*x+d)^(1/2)*B*a*b*d*e^2-e/(a*e-b*d)^3/(b*e*x+a*e)^2*(e*x+d)^(1/2)*B*b^2*d^2-15/4/(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)*A*b*e^2+3/4/(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)*B*a*e^2+3*e/(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)*B*b*d-2/(a*e-b*d)^3/(e*x+d)^(1/2)*A*e^2+2*e/(a*e-b*d)^3/(e*x+d)^(1/2)*B*d","B"
1764,1,568,212,0.026000," ","int((B*x+A)/(b*x+a)^3/(e*x+d)^(5/2),x)","\frac{13 \sqrt{e x +d}\, A a \,b^{2} e^{3}}{4 \left(a e -b d \right)^{4} \left(b x e +a e \right)^{2}}-\frac{13 \sqrt{e x +d}\, A \,b^{3} d \,e^{2}}{4 \left(a e -b d \right)^{4} \left(b x e +a e \right)^{2}}-\frac{9 \sqrt{e x +d}\, B \,a^{2} b \,e^{3}}{4 \left(a e -b d \right)^{4} \left(b x e +a e \right)^{2}}+\frac{5 \sqrt{e x +d}\, B a \,b^{2} d \,e^{2}}{4 \left(a e -b d \right)^{4} \left(b x e +a e \right)^{2}}+\frac{\sqrt{e x +d}\, B \,b^{3} d^{2} e}{\left(a e -b d \right)^{4} \left(b x e +a e \right)^{2}}+\frac{11 \left(e x +d \right)^{\frac{3}{2}} A \,b^{3} e^{2}}{4 \left(a e -b d \right)^{4} \left(b x e +a e \right)^{2}}+\frac{35 A \,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{7 \left(e x +d \right)^{\frac{3}{2}} B a \,b^{2} e^{2}}{4 \left(a e -b d \right)^{4} \left(b x e +a e \right)^{2}}-\frac{15 B a 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)^{4} \sqrt{\left(a e -b d \right) b}}-\frac{\left(e x +d \right)^{\frac{3}{2}} B \,b^{3} d e}{\left(a e -b d \right)^{4} \left(b x e +a e \right)^{2}}-\frac{5 B \,b^{2} d 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{6 A b \,e^{2}}{\left(a e -b d \right)^{4} \sqrt{e x +d}}-\frac{2 B a \,e^{2}}{\left(a e -b d \right)^{4} \sqrt{e x +d}}-\frac{4 B b d e}{\left(a e -b d \right)^{4} \sqrt{e x +d}}-\frac{2 A \,e^{2}}{3 \left(a e -b d \right)^{3} \left(e x +d \right)^{\frac{3}{2}}}+\frac{2 B d e}{3 \left(a e -b d \right)^{3} \left(e x +d \right)^{\frac{3}{2}}}"," ",0,"11/4/(a*e-b*d)^4*b^3/(b*e*x+a*e)^2*(e*x+d)^(3/2)*A*e^2-7/4/(a*e-b*d)^4*b^2/(b*e*x+a*e)^2*(e*x+d)^(3/2)*B*a*e^2-e/(a*e-b*d)^4*b^3/(b*e*x+a*e)^2*(e*x+d)^(3/2)*B*d+13/4/(a*e-b*d)^4*b^2/(b*e*x+a*e)^2*(e*x+d)^(1/2)*A*a*e^3-13/4/(a*e-b*d)^4*b^3/(b*e*x+a*e)^2*(e*x+d)^(1/2)*A*d*e^2-9/4/(a*e-b*d)^4*b/(b*e*x+a*e)^2*(e*x+d)^(1/2)*B*a^2*e^3+5/4/(a*e-b*d)^4*b^2/(b*e*x+a*e)^2*(e*x+d)^(1/2)*B*a*d*e^2+e/(a*e-b*d)^4*b^3/(b*e*x+a*e)^2*(e*x+d)^(1/2)*B*d^2+35/4/(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*e^2-15/4/(a*e-b*d)^4*b/((a*e-b*d)*b)^(1/2)*arctan((e*x+d)^(1/2)/((a*e-b*d)*b)^(1/2)*b)*B*a*e^2-5*e/(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)*B*d-2/3/(a*e-b*d)^3/(e*x+d)^(3/2)*A*e^2+2/3*e/(a*e-b*d)^3/(e*x+d)^(3/2)*B*d+6/(a*e-b*d)^4/(e*x+d)^(1/2)*A*b*e^2-2/(a*e-b*d)^4/(e*x+d)^(1/2)*B*a*e^2-4*e/(a*e-b*d)^4/(e*x+d)^(1/2)*B*b*d","B"
1765,1,648,249,0.029000," ","int((B*x+A)/(b*x+a)^3/(e*x+d)^(7/2),x)","-\frac{17 \sqrt{e x +d}\, A a \,b^{3} e^{3}}{4 \left(a e -b d \right)^{5} \left(b x e +a e \right)^{2}}+\frac{17 \sqrt{e x +d}\, A \,b^{4} d \,e^{2}}{4 \left(a e -b d \right)^{5} \left(b x e +a e \right)^{2}}+\frac{13 \sqrt{e x +d}\, B \,a^{2} b^{2} e^{3}}{4 \left(a e -b d \right)^{5} \left(b x e +a e \right)^{2}}-\frac{9 \sqrt{e x +d}\, B a \,b^{3} d \,e^{2}}{4 \left(a e -b d \right)^{5} \left(b x e +a e \right)^{2}}-\frac{\sqrt{e x +d}\, B \,b^{4} d^{2} e}{\left(a e -b d \right)^{5} \left(b x e +a e \right)^{2}}-\frac{15 \left(e x +d \right)^{\frac{3}{2}} A \,b^{4} e^{2}}{4 \left(a e -b d \right)^{5} \left(b x e +a e \right)^{2}}-\frac{63 A \,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{11 \left(e x +d \right)^{\frac{3}{2}} B a \,b^{3} e^{2}}{4 \left(a e -b d \right)^{5} \left(b x e +a e \right)^{2}}+\frac{35 B a \,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)^{5} \sqrt{\left(a e -b d \right) b}}+\frac{\left(e x +d \right)^{\frac{3}{2}} B \,b^{4} d e}{\left(a e -b d \right)^{5} \left(b x e +a e \right)^{2}}+\frac{7 B \,b^{3} d e \arctan \left(\frac{\sqrt{e x +d}\, b}{\sqrt{\left(a e -b d \right) b}}\right)}{\left(a e -b d \right)^{5} \sqrt{\left(a e -b d \right) b}}-\frac{12 A \,b^{2} e^{2}}{\left(a e -b d \right)^{5} \sqrt{e x +d}}+\frac{6 B a b \,e^{2}}{\left(a e -b d \right)^{5} \sqrt{e x +d}}+\frac{6 B \,b^{2} d e}{\left(a e -b d \right)^{5} \sqrt{e x +d}}+\frac{2 A b \,e^{2}}{\left(a e -b d \right)^{4} \left(e x +d \right)^{\frac{3}{2}}}-\frac{2 B a \,e^{2}}{3 \left(a e -b d \right)^{4} \left(e x +d \right)^{\frac{3}{2}}}-\frac{4 B b d e}{3 \left(a e -b d \right)^{4} \left(e x +d \right)^{\frac{3}{2}}}-\frac{2 A \,e^{2}}{5 \left(a e -b d \right)^{3} \left(e x +d \right)^{\frac{5}{2}}}+\frac{2 B d e}{5 \left(a e -b d \right)^{3} \left(e x +d \right)^{\frac{5}{2}}}"," ",0,"-15/4/(a*e-b*d)^5*b^4/(b*e*x+a*e)^2*(e*x+d)^(3/2)*A*e^2+11/4/(a*e-b*d)^5*b^3/(b*e*x+a*e)^2*(e*x+d)^(3/2)*B*a*e^2+e/(a*e-b*d)^5*b^4/(b*e*x+a*e)^2*(e*x+d)^(3/2)*B*d-17/4/(a*e-b*d)^5*b^3/(b*e*x+a*e)^2*(e*x+d)^(1/2)*A*a*e^3+17/4/(a*e-b*d)^5*b^4/(b*e*x+a*e)^2*(e*x+d)^(1/2)*A*d*e^2+13/4/(a*e-b*d)^5*b^2/(b*e*x+a*e)^2*(e*x+d)^(1/2)*B*a^2*e^3-9/4/(a*e-b*d)^5*b^3/(b*e*x+a*e)^2*(e*x+d)^(1/2)*B*a*d*e^2-e/(a*e-b*d)^5*b^4/(b*e*x+a*e)^2*(e*x+d)^(1/2)*B*d^2-63/4/(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)*A*e^2+35/4/(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*a*e^2+7*e/(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)*B*d-2/5/(a*e-b*d)^3/(e*x+d)^(5/2)*A*e^2+2/5*e/(a*e-b*d)^3/(e*x+d)^(5/2)*B*d+2/(a*e-b*d)^4/(e*x+d)^(3/2)*A*b*e^2-2/3/(a*e-b*d)^4/(e*x+d)^(3/2)*B*a*e^2-4/3*e/(a*e-b*d)^4/(e*x+d)^(3/2)*B*b*d-12*b^2/(a*e-b*d)^5/(e*x+d)^(1/2)*A*e^2+6*b/(a*e-b*d)^5/(e*x+d)^(1/2)*B*a*e^2+6*e*b^2/(a*e-b*d)^5/(e*x+d)^(1/2)*B*d","B"
1766,1,573,140,0.018000," ","int((b*x+a)*(f*x+e)^(5/2)/(d*x+c),x)","-\frac{2 a \,c^{3} f^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{3}}+\frac{6 a \,c^{2} e \,f^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{2}}-\frac{6 a c \,e^{2} f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d}+\frac{2 a \,e^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}}+\frac{2 b \,c^{4} f^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{4}}-\frac{6 b \,c^{3} e \,f^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{3}}+\frac{6 b \,c^{2} e^{2} f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{2}}-\frac{2 b c \,e^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d}+\frac{2 \sqrt{f x +e}\, a \,c^{2} f^{2}}{d^{3}}-\frac{4 \sqrt{f x +e}\, a c e f}{d^{2}}+\frac{2 \sqrt{f x +e}\, a \,e^{2}}{d}-\frac{2 \sqrt{f x +e}\, b \,c^{3} f^{2}}{d^{4}}+\frac{4 \sqrt{f x +e}\, b \,c^{2} e f}{d^{3}}-\frac{2 \sqrt{f x +e}\, b c \,e^{2}}{d^{2}}-\frac{2 \left(f x +e \right)^{\frac{3}{2}} a c f}{3 d^{2}}+\frac{2 \left(f x +e \right)^{\frac{3}{2}} a e}{3 d}+\frac{2 \left(f x +e \right)^{\frac{3}{2}} b \,c^{2} f}{3 d^{3}}-\frac{2 \left(f x +e \right)^{\frac{3}{2}} b c e}{3 d^{2}}+\frac{2 \left(f x +e \right)^{\frac{5}{2}} a}{5 d}-\frac{2 \left(f x +e \right)^{\frac{5}{2}} b c}{5 d^{2}}+\frac{2 \left(f x +e \right)^{\frac{7}{2}} b}{7 d f}"," ",0,"2/7*b*(f*x+e)^(7/2)/d/f+2/5/d*(f*x+e)^(5/2)*a-2/5/d^2*(f*x+e)^(5/2)*b*c-2/3*f/d^2*(f*x+e)^(3/2)*a*c+2/3/d*(f*x+e)^(3/2)*a*e+2/3*f/d^3*(f*x+e)^(3/2)*b*c^2-2/3/d^2*(f*x+e)^(3/2)*b*c*e+2*f^2/d^3*a*c^2*(f*x+e)^(1/2)-4*f/d^2*a*c*e*(f*x+e)^(1/2)+2/d*a*e^2*(f*x+e)^(1/2)-2*f^2/d^4*b*c^3*(f*x+e)^(1/2)+4*f/d^3*b*c^2*e*(f*x+e)^(1/2)-2/d^2*b*c*e^2*(f*x+e)^(1/2)-2*f^3/d^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)*d/((c*f-d*e)*d)^(1/2))*a*c^3+6*f^2/d^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)*d/((c*f-d*e)*d)^(1/2))*a*c^2*e-6*f/d/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)*d/((c*f-d*e)*d)^(1/2))*a*c*e^2+2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)*d/((c*f-d*e)*d)^(1/2))*a*e^3+2*f^3/d^4/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)*d/((c*f-d*e)*d)^(1/2))*b*c^4-6*f^2/d^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)*d/((c*f-d*e)*d)^(1/2))*b*c^3*e+6*f/d^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)*d/((c*f-d*e)*d)^(1/2))*b*c^2*e^2-2/d/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)*d/((c*f-d*e)*d)^(1/2))*b*c*e^3","B"
1767,1,370,110,0.011000," ","int((b*x+a)*(f*x+e)^(3/2)/(d*x+c),x)","\frac{2 a \,c^{2} f^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{2}}-\frac{4 a c e f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d}+\frac{2 a \,e^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}}-\frac{2 b \,c^{3} f^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{3}}+\frac{4 b \,c^{2} e f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{2}}-\frac{2 b c \,e^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d}-\frac{2 \sqrt{f x +e}\, a c f}{d^{2}}+\frac{2 \sqrt{f x +e}\, a e}{d}+\frac{2 \sqrt{f x +e}\, b \,c^{2} f}{d^{3}}-\frac{2 \sqrt{f x +e}\, b c e}{d^{2}}+\frac{2 \left(f x +e \right)^{\frac{3}{2}} a}{3 d}-\frac{2 \left(f x +e \right)^{\frac{3}{2}} b c}{3 d^{2}}+\frac{2 \left(f x +e \right)^{\frac{5}{2}} b}{5 d f}"," ",0,"2/5*b*(f*x+e)^(5/2)/d/f+2/3/d*(f*x+e)^(3/2)*a-2/3/d^2*(f*x+e)^(3/2)*b*c-2*f/d^2*a*c*(f*x+e)^(1/2)+2/d*a*e*(f*x+e)^(1/2)+2*f/d^3*b*c^2*(f*x+e)^(1/2)-2/d^2*b*c*e*(f*x+e)^(1/2)+2*f^2/d^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*c^2-4*f/d/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*c*e+2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*e^2-2*f^2/d^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b*c^3+4*f/d^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b*c^2*e-2/d/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b*c*e^2","B"
1768,1,211,82,0.010000," ","int((b*x+a)*(f*x+e)^(1/2)/(d*x+c),x)","-\frac{2 a c f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d}+\frac{2 a e \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}}+\frac{2 b \,c^{2} f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{2}}-\frac{2 b c e \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d}+\frac{2 \sqrt{f x +e}\, a}{d}-\frac{2 \sqrt{f x +e}\, b c}{d^{2}}+\frac{2 \left(f x +e \right)^{\frac{3}{2}} b}{3 d f}"," ",0,"2/3*b*(f*x+e)^(3/2)/d/f+2/d*a*(f*x+e)^(1/2)-2/d^2*b*c*(f*x+e)^(1/2)-2*f/d/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*c+2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*e+2*f/d^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b*c^2-2/d/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b*c*e","B"
1769,1,96,62,0.010000," ","int((b*x+a)/(d*x+c)/(f*x+e)^(1/2),x)","\frac{2 a \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}}-\frac{2 b c \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d}+\frac{2 \sqrt{f x +e}\, b}{d f}"," ",0,"2*b*(f*x+e)^(1/2)/d/f+2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a-2/d/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b*c","A"
1770,1,142,76,0.012000," ","int((b*x+a)/(d*x+c)/(f*x+e)^(3/2),x)","-\frac{2 a d \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right) \sqrt{\left(c f -d e \right) d}}+\frac{2 b c \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right) \sqrt{\left(c f -d e \right) d}}-\frac{2 a}{\left(c f -d e \right) \sqrt{f x +e}}+\frac{2 b e}{\left(c f -d e \right) \sqrt{f x +e}\, f}"," ",0,"-2/(c*f-d*e)/(f*x+e)^(1/2)*a+2/f/(c*f-d*e)/(f*x+e)^(1/2)*b*e-2/(c*f-d*e)/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*d+2/(c*f-d*e)/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b*c","A"
1771,1,187,103,0.016000," ","int((b*x+a)/(d*x+c)/(f*x+e)^(5/2),x)","\frac{2 a \,d^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{2} \sqrt{\left(c f -d e \right) d}}-\frac{2 b c d \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{2} \sqrt{\left(c f -d e \right) d}}+\frac{2 a d}{\left(c f -d e \right)^{2} \sqrt{f x +e}}-\frac{2 b c}{\left(c f -d e \right)^{2} \sqrt{f x +e}}-\frac{2 a}{3 \left(c f -d e \right) \left(f x +e \right)^{\frac{3}{2}}}+\frac{2 b e}{3 \left(c f -d e \right) \left(f x +e \right)^{\frac{3}{2}} f}"," ",0,"-2/3/(c*f-d*e)/(f*x+e)^(3/2)*a+2/3/f/(c*f-d*e)/(f*x+e)^(3/2)*b*e+2/(c*f-d*e)^2/(f*x+e)^(1/2)*a*d-2/(c*f-d*e)^2/(f*x+e)^(1/2)*b*c+2*d^2/(c*f-d*e)^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a-2*d/(c*f-d*e)^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b*c","A"
1772,1,234,131,0.015000," ","int((b*x+a)/(d*x+c)/(f*x+e)^(7/2),x)","-\frac{2 a \,d^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{3} \sqrt{\left(c f -d e \right) d}}+\frac{2 b c \,d^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{3} \sqrt{\left(c f -d e \right) d}}-\frac{2 a \,d^{2}}{\left(c f -d e \right)^{3} \sqrt{f x +e}}+\frac{2 b c d}{\left(c f -d e \right)^{3} \sqrt{f x +e}}+\frac{2 a d}{3 \left(c f -d e \right)^{2} \left(f x +e \right)^{\frac{3}{2}}}-\frac{2 b c}{3 \left(c f -d e \right)^{2} \left(f x +e \right)^{\frac{3}{2}}}-\frac{2 a}{5 \left(c f -d e \right) \left(f x +e \right)^{\frac{5}{2}}}+\frac{2 b e}{5 \left(c f -d e \right) \left(f x +e \right)^{\frac{5}{2}} f}"," ",0,"-2/5/(c*f-d*e)/(f*x+e)^(5/2)*a+2/5/f/(c*f-d*e)/(f*x+e)^(5/2)*b*e-2/(c*f-d*e)^3*d^2/(f*x+e)^(1/2)*a+2/(c*f-d*e)^3*d/(f*x+e)^(1/2)*b*c+2/3/(c*f-d*e)^2/(f*x+e)^(3/2)*a*d-2/3/(c*f-d*e)^2/(f*x+e)^(3/2)*b*c-2*d^3/(c*f-d*e)^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a+2*d^2/(c*f-d*e)^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b*c","A"
1773,1,281,161,0.017000," ","int((b*x+a)/(d*x+c)/(f*x+e)^(9/2),x)","\frac{2 a \,d^{4} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{4} \sqrt{\left(c f -d e \right) d}}-\frac{2 b c \,d^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{4} \sqrt{\left(c f -d e \right) d}}+\frac{2 a \,d^{3}}{\left(c f -d e \right)^{4} \sqrt{f x +e}}-\frac{2 b c \,d^{2}}{\left(c f -d e \right)^{4} \sqrt{f x +e}}-\frac{2 a \,d^{2}}{3 \left(c f -d e \right)^{3} \left(f x +e \right)^{\frac{3}{2}}}+\frac{2 b c d}{3 \left(c f -d e \right)^{3} \left(f x +e \right)^{\frac{3}{2}}}+\frac{2 a d}{5 \left(c f -d e \right)^{2} \left(f x +e \right)^{\frac{5}{2}}}-\frac{2 b c}{5 \left(c f -d e \right)^{2} \left(f x +e \right)^{\frac{5}{2}}}-\frac{2 a}{7 \left(c f -d e \right) \left(f x +e \right)^{\frac{7}{2}}}+\frac{2 b e}{7 \left(c f -d e \right) \left(f x +e \right)^{\frac{7}{2}} f}"," ",0,"-2/7/(c*f-d*e)/(f*x+e)^(7/2)*a+2/7/f/(c*f-d*e)/(f*x+e)^(7/2)*b*e-2/3/(c*f-d*e)^3*d^2/(f*x+e)^(3/2)*a+2/3/(c*f-d*e)^3*d/(f*x+e)^(3/2)*b*c+2/5/(c*f-d*e)^2/(f*x+e)^(5/2)*a*d-2/5/(c*f-d*e)^2/(f*x+e)^(5/2)*b*c+2/(c*f-d*e)^4*d^3/(f*x+e)^(1/2)*a-2/(c*f-d*e)^4*d^2/(f*x+e)^(1/2)*b*c+2*d^4/(c*f-d*e)^4/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a-2*d^3/(c*f-d*e)^4/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b*c","A"
1774,1,972,180,0.016000," ","int((b*x+a)^2*(f*x+e)^(5/2)/(d*x+c),x)","-\frac{2 a^{2} c^{3} f^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{3}}+\frac{6 a^{2} c^{2} e \,f^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{2}}-\frac{6 a^{2} c \,e^{2} f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d}+\frac{2 a^{2} e^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}}+\frac{4 a b \,c^{4} f^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{4}}-\frac{12 a b \,c^{3} e \,f^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{3}}+\frac{12 a b \,c^{2} e^{2} f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{2}}-\frac{4 a b c \,e^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d}-\frac{2 b^{2} c^{5} f^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{5}}+\frac{6 b^{2} c^{4} e \,f^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{4}}-\frac{6 b^{2} c^{3} e^{2} f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{3}}+\frac{2 b^{2} c^{2} e^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{2}}+\frac{2 \sqrt{f x +e}\, a^{2} c^{2} f^{2}}{d^{3}}-\frac{4 \sqrt{f x +e}\, a^{2} c e f}{d^{2}}+\frac{2 \sqrt{f x +e}\, a^{2} e^{2}}{d}-\frac{4 \sqrt{f x +e}\, a b \,c^{3} f^{2}}{d^{4}}+\frac{8 \sqrt{f x +e}\, a b \,c^{2} e f}{d^{3}}-\frac{4 \sqrt{f x +e}\, a b c \,e^{2}}{d^{2}}+\frac{2 \sqrt{f x +e}\, b^{2} c^{4} f^{2}}{d^{5}}-\frac{4 \sqrt{f x +e}\, b^{2} c^{3} e f}{d^{4}}+\frac{2 \sqrt{f x +e}\, b^{2} c^{2} e^{2}}{d^{3}}-\frac{2 \left(f x +e \right)^{\frac{3}{2}} a^{2} c f}{3 d^{2}}+\frac{2 \left(f x +e \right)^{\frac{3}{2}} a^{2} e}{3 d}+\frac{4 \left(f x +e \right)^{\frac{3}{2}} a b \,c^{2} f}{3 d^{3}}-\frac{4 \left(f x +e \right)^{\frac{3}{2}} a b c e}{3 d^{2}}-\frac{2 \left(f x +e \right)^{\frac{3}{2}} b^{2} c^{3} f}{3 d^{4}}+\frac{2 \left(f x +e \right)^{\frac{3}{2}} b^{2} c^{2} e}{3 d^{3}}+\frac{2 \left(f x +e \right)^{\frac{5}{2}} a^{2}}{5 d}-\frac{4 \left(f x +e \right)^{\frac{5}{2}} a b c}{5 d^{2}}+\frac{2 \left(f x +e \right)^{\frac{5}{2}} b^{2} c^{2}}{5 d^{3}}+\frac{4 \left(f x +e \right)^{\frac{7}{2}} a b}{7 d f}-\frac{2 \left(f x +e \right)^{\frac{7}{2}} b^{2} c}{7 d^{2} f}-\frac{2 \left(f x +e \right)^{\frac{7}{2}} b^{2} e}{7 d \,f^{2}}+\frac{2 \left(f x +e \right)^{\frac{9}{2}} b^{2}}{9 d \,f^{2}}"," ",0,"2/5/d*(f*x+e)^(5/2)*a^2+2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2*e^3+2/3/d*(f*x+e)^(3/2)*a^2*e+2/5/d^3*(f*x+e)^(5/2)*b^2*c^2+2/d*a^2*e^2*(f*x+e)^(1/2)+2/9*b^2*(f*x+e)^(9/2)/d/f^2-2/7/f^2/d*(f*x+e)^(7/2)*b^2*e+2*f^2/d^3*a^2*c^2*(f*x+e)^(1/2)-2/3*f/d^4*(f*x+e)^(3/2)*b^2*c^3+2*f^2/d^5*b^2*c^4*(f*x+e)^(1/2)+2/d^3*b^2*c^2*e^2*(f*x+e)^(1/2)+2/3/d^3*(f*x+e)^(3/2)*b^2*c^2*e-2/7/f/d^2*(f*x+e)^(7/2)*b^2*c-4/5/d^2*(f*x+e)^(5/2)*a*b*c-2/3*f/d^2*(f*x+e)^(3/2)*a^2*c+4/7/f/d*(f*x+e)^(7/2)*a*b-12*f^2/d^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b*c^3*e+12*f/d^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b*c^2*e^2-4/d^2*a*b*c*e^2*(f*x+e)^(1/2)+2/d^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^2*c^2*e^3-2*f^3/d^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2*c^3-2*f^3/d^5/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^2*c^5+4/3*f/d^3*(f*x+e)^(3/2)*a*b*c^2-4*f/d^2*a^2*c*e*(f*x+e)^(1/2)-4*f^2/d^4*a*b*c^3*(f*x+e)^(1/2)-4*f/d^4*b^2*c^3*e*(f*x+e)^(1/2)-4/3/d^2*(f*x+e)^(3/2)*a*b*c*e+4*f^3/d^4/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b*c^4+6*f^2/d^4/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^2*c^4*e-6*f/d^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^2*c^3*e^2-4/d/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b*c*e^3+8*f/d^3*a*b*c^2*e*(f*x+e)^(1/2)+6*f^2/d^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2*c^2*e-6*f/d/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2*c*e^2","B"
1775,1,644,148,0.015000," ","int((b*x+a)^2*(f*x+e)^(3/2)/(d*x+c),x)","\frac{2 a^{2} c^{2} f^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{2}}-\frac{4 a^{2} c e f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d}+\frac{2 a^{2} e^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}}-\frac{4 a b \,c^{3} f^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{3}}+\frac{8 a b \,c^{2} e f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{2}}-\frac{4 a b c \,e^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d}+\frac{2 b^{2} c^{4} f^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{4}}-\frac{4 b^{2} c^{3} e f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{3}}+\frac{2 b^{2} c^{2} e^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{2}}-\frac{2 \sqrt{f x +e}\, a^{2} c f}{d^{2}}+\frac{2 \sqrt{f x +e}\, a^{2} e}{d}+\frac{4 \sqrt{f x +e}\, a b \,c^{2} f}{d^{3}}-\frac{4 \sqrt{f x +e}\, a b c e}{d^{2}}-\frac{2 \sqrt{f x +e}\, b^{2} c^{3} f}{d^{4}}+\frac{2 \sqrt{f x +e}\, b^{2} c^{2} e}{d^{3}}+\frac{2 \left(f x +e \right)^{\frac{3}{2}} a^{2}}{3 d}-\frac{4 \left(f x +e \right)^{\frac{3}{2}} a b c}{3 d^{2}}+\frac{2 \left(f x +e \right)^{\frac{3}{2}} b^{2} c^{2}}{3 d^{3}}+\frac{4 \left(f x +e \right)^{\frac{5}{2}} a b}{5 d f}-\frac{2 \left(f x +e \right)^{\frac{5}{2}} b^{2} c}{5 d^{2} f}-\frac{2 \left(f x +e \right)^{\frac{5}{2}} b^{2} e}{5 d \,f^{2}}+\frac{2 \left(f x +e \right)^{\frac{7}{2}} b^{2}}{7 d \,f^{2}}"," ",0,"2/7*b^2*(f*x+e)^(7/2)/d/f^2+4/5/f/d*(f*x+e)^(5/2)*a*b-2/5/f/d^2*(f*x+e)^(5/2)*b^2*c-2/5/f^2/d*(f*x+e)^(5/2)*b^2*e+2/3/d*(f*x+e)^(3/2)*a^2-4/3/d^2*(f*x+e)^(3/2)*a*b*c+2/3/d^3*(f*x+e)^(3/2)*b^2*c^2-2*f/d^2*a^2*c*(f*x+e)^(1/2)+2/d*a^2*e*(f*x+e)^(1/2)+4*f/d^3*a*b*c^2*(f*x+e)^(1/2)-4/d^2*a*b*c*e*(f*x+e)^(1/2)-2*f/d^4*b^2*c^3*(f*x+e)^(1/2)+2/d^3*b^2*c^2*e*(f*x+e)^(1/2)+2*f^2/d^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2*c^2-4*f/d/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2*c*e+2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2*e^2-4*f^2/d^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b*c^3+8*f/d^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b*c^2*e-4/d/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b*c*e^2+2*f^2/d^4/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^2*c^4-4*f/d^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^2*c^3*e+2/d^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^2*c^2*e^2","B"
1776,1,387,118,0.016000," ","int((b*x+a)^2*(f*x+e)^(1/2)/(d*x+c),x)","-\frac{2 a^{2} c f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d}+\frac{2 a^{2} e \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}}+\frac{4 a b \,c^{2} f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{2}}-\frac{4 a b c e \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d}-\frac{2 b^{2} c^{3} f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{3}}+\frac{2 b^{2} c^{2} e \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{2}}+\frac{2 \sqrt{f x +e}\, a^{2}}{d}-\frac{4 \sqrt{f x +e}\, a b c}{d^{2}}+\frac{2 \sqrt{f x +e}\, b^{2} c^{2}}{d^{3}}+\frac{4 \left(f x +e \right)^{\frac{3}{2}} a b}{3 d f}-\frac{2 \left(f x +e \right)^{\frac{3}{2}} b^{2} c}{3 d^{2} f}-\frac{2 \left(f x +e \right)^{\frac{3}{2}} b^{2} e}{3 d \,f^{2}}+\frac{2 \left(f x +e \right)^{\frac{5}{2}} b^{2}}{5 d \,f^{2}}"," ",0,"2/5*b^2*(f*x+e)^(5/2)/d/f^2+4/3/f/d*(f*x+e)^(3/2)*a*b-2/3/f/d^2*(f*x+e)^(3/2)*b^2*c-2/3/f^2/d*(f*x+e)^(3/2)*b^2*e+2/d*a^2*(f*x+e)^(1/2)-4/d^2*a*b*c*(f*x+e)^(1/2)+2/d^3*b^2*c^2*(f*x+e)^(1/2)-2*f/d/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2*c+2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2*e+4*f/d^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b*c^2-4/d/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b*c*e-2*f/d^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^2*c^3+2/d^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^2*c^2*e","B"
1777,1,201,96,0.014000," ","int((b*x+a)^2/(d*x+c)/(f*x+e)^(1/2),x)","\frac{2 a^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}}-\frac{4 a b c \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d}+\frac{2 b^{2} c^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{2}}+\frac{4 \sqrt{f x +e}\, a b}{d f}-\frac{2 \sqrt{f x +e}\, b^{2} c}{d^{2} f}-\frac{2 \sqrt{f x +e}\, b^{2} e}{d \,f^{2}}+\frac{2 \left(f x +e \right)^{\frac{3}{2}} b^{2}}{3 d \,f^{2}}"," ",0,"2/3*b^2*(f*x+e)^(3/2)/d/f^2+4/f*b/d*a*(f*x+e)^(1/2)-2/f*b^2/d^2*c*(f*x+e)^(1/2)-2/f^2*b^2/d*e*(f*x+e)^(1/2)+2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2-4/d/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b*c+2/d^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^2*c^2","B"
1778,1,249,98,0.015000," ","int((b*x+a)^2/(d*x+c)/(f*x+e)^(3/2),x)","-\frac{2 a^{2} d \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right) \sqrt{\left(c f -d e \right) d}}+\frac{4 a b c \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right) \sqrt{\left(c f -d e \right) d}}-\frac{2 b^{2} c^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right) \sqrt{\left(c f -d e \right) d}\, d}-\frac{2 a^{2}}{\left(c f -d e \right) \sqrt{f x +e}}+\frac{4 a b e}{\left(c f -d e \right) \sqrt{f x +e}\, f}-\frac{2 b^{2} e^{2}}{\left(c f -d e \right) \sqrt{f x +e}\, f^{2}}+\frac{2 \sqrt{f x +e}\, b^{2}}{d \,f^{2}}"," ",0,"2*b^2*(f*x+e)^(1/2)/d/f^2-2/(c*f-d*e)/(f*x+e)^(1/2)*a^2+4/f/(c*f-d*e)/(f*x+e)^(1/2)*a*b*e-2/f^2/(c*f-d*e)/(f*x+e)^(1/2)*b^2*e^2-2/(c*f-d*e)*d/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2+4/(c*f-d*e)/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b*c-2/(c*f-d*e)/d/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^2*c^2","B"
1779,1,332,124,0.019000," ","int((b*x+a)^2/(d*x+c)/(f*x+e)^(5/2),x)","\frac{2 a^{2} d^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{2} \sqrt{\left(c f -d e \right) d}}-\frac{4 a b c d \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{2} \sqrt{\left(c f -d e \right) d}}+\frac{2 b^{2} c^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{2} \sqrt{\left(c f -d e \right) d}}+\frac{2 a^{2} d}{\left(c f -d e \right)^{2} \sqrt{f x +e}}-\frac{4 a b c}{\left(c f -d e \right)^{2} \sqrt{f x +e}}+\frac{4 b^{2} c e}{\left(c f -d e \right)^{2} \sqrt{f x +e}\, f}-\frac{2 b^{2} d \,e^{2}}{\left(c f -d e \right)^{2} \sqrt{f x +e}\, f^{2}}-\frac{2 a^{2}}{3 \left(c f -d e \right) \left(f x +e \right)^{\frac{3}{2}}}+\frac{4 a b e}{3 \left(c f -d e \right) \left(f x +e \right)^{\frac{3}{2}} f}-\frac{2 b^{2} e^{2}}{3 \left(c f -d e \right) \left(f x +e \right)^{\frac{3}{2}} f^{2}}"," ",0,"-2/3/(c*f-d*e)/(f*x+e)^(3/2)*a^2+4/3/f/(c*f-d*e)/(f*x+e)^(3/2)*a*b*e-2/3/f^2/(c*f-d*e)/(f*x+e)^(3/2)*b^2*e^2+2/(c*f-d*e)^2/(f*x+e)^(1/2)*a^2*d-4/(c*f-d*e)^2/(f*x+e)^(1/2)*a*b*c+4/f/(c*f-d*e)^2/(f*x+e)^(1/2)*b^2*c*e-2/f^2/(c*f-d*e)^2/(f*x+e)^(1/2)*b^2*d*e^2+2/(c*f-d*e)^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2*d^2-4/(c*f-d*e)^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b*c*d+2/(c*f-d*e)^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^2*c^2","B"
1780,1,408,153,0.020000," ","int((b*x+a)^2/(d*x+c)/(f*x+e)^(7/2),x)","-\frac{2 a^{2} d^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{3} \sqrt{\left(c f -d e \right) d}}+\frac{4 a b c \,d^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{3} \sqrt{\left(c f -d e \right) d}}-\frac{2 b^{2} c^{2} d \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{3} \sqrt{\left(c f -d e \right) d}}-\frac{2 a^{2} d^{2}}{\left(c f -d e \right)^{3} \sqrt{f x +e}}+\frac{4 a b c d}{\left(c f -d e \right)^{3} \sqrt{f x +e}}-\frac{2 b^{2} c^{2}}{\left(c f -d e \right)^{3} \sqrt{f x +e}}+\frac{2 a^{2} d}{3 \left(c f -d e \right)^{2} \left(f x +e \right)^{\frac{3}{2}}}-\frac{4 a b c}{3 \left(c f -d e \right)^{2} \left(f x +e \right)^{\frac{3}{2}}}+\frac{4 b^{2} c e}{3 \left(c f -d e \right)^{2} \left(f x +e \right)^{\frac{3}{2}} f}-\frac{2 b^{2} d \,e^{2}}{3 \left(c f -d e \right)^{2} \left(f x +e \right)^{\frac{3}{2}} f^{2}}-\frac{2 a^{2}}{5 \left(c f -d e \right) \left(f x +e \right)^{\frac{5}{2}}}+\frac{4 a b e}{5 \left(c f -d e \right) \left(f x +e \right)^{\frac{5}{2}} f}-\frac{2 b^{2} e^{2}}{5 \left(c f -d e \right) \left(f x +e \right)^{\frac{5}{2}} f^{2}}"," ",0,"-2/5/(c*f-d*e)/(f*x+e)^(5/2)*a^2+4/5/f/(c*f-d*e)/(f*x+e)^(5/2)*a*b*e-2/5/f^2/(c*f-d*e)/(f*x+e)^(5/2)*b^2*e^2+2/3/(c*f-d*e)^2/(f*x+e)^(3/2)*a^2*d-4/3/(c*f-d*e)^2/(f*x+e)^(3/2)*a*b*c+4/3/f/(c*f-d*e)^2/(f*x+e)^(3/2)*b^2*c*e-2/3/f^2/(c*f-d*e)^2/(f*x+e)^(3/2)*b^2*d*e^2-2/(c*f-d*e)^3/(f*x+e)^(1/2)*a^2*d^2+4/(c*f-d*e)^3/(f*x+e)^(1/2)*a*b*c*d-2/(c*f-d*e)^3/(f*x+e)^(1/2)*b^2*c^2-2*d^3/(c*f-d*e)^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2+4*d^2/(c*f-d*e)^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b*c-2*d/(c*f-d*e)^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^2*c^2","B"
1781,1,486,183,0.024000," ","int((b*x+a)^2/(d*x+c)/(f*x+e)^(9/2),x)","\frac{2 a^{2} d^{4} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{4} \sqrt{\left(c f -d e \right) d}}-\frac{4 a b c \,d^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{4} \sqrt{\left(c f -d e \right) d}}+\frac{2 b^{2} c^{2} d^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{4} \sqrt{\left(c f -d e \right) d}}+\frac{2 a^{2} d^{3}}{\left(c f -d e \right)^{4} \sqrt{f x +e}}-\frac{4 a b c \,d^{2}}{\left(c f -d e \right)^{4} \sqrt{f x +e}}+\frac{2 b^{2} c^{2} d}{\left(c f -d e \right)^{4} \sqrt{f x +e}}-\frac{2 a^{2} d^{2}}{3 \left(c f -d e \right)^{3} \left(f x +e \right)^{\frac{3}{2}}}+\frac{4 a b c d}{3 \left(c f -d e \right)^{3} \left(f x +e \right)^{\frac{3}{2}}}-\frac{2 b^{2} c^{2}}{3 \left(c f -d e \right)^{3} \left(f x +e \right)^{\frac{3}{2}}}+\frac{2 a^{2} d}{5 \left(c f -d e \right)^{2} \left(f x +e \right)^{\frac{5}{2}}}-\frac{4 a b c}{5 \left(c f -d e \right)^{2} \left(f x +e \right)^{\frac{5}{2}}}+\frac{4 b^{2} c e}{5 \left(c f -d e \right)^{2} \left(f x +e \right)^{\frac{5}{2}} f}-\frac{2 b^{2} d \,e^{2}}{5 \left(c f -d e \right)^{2} \left(f x +e \right)^{\frac{5}{2}} f^{2}}-\frac{2 a^{2}}{7 \left(c f -d e \right) \left(f x +e \right)^{\frac{7}{2}}}+\frac{4 a b e}{7 \left(c f -d e \right) \left(f x +e \right)^{\frac{7}{2}} f}-\frac{2 b^{2} e^{2}}{7 \left(c f -d e \right) \left(f x +e \right)^{\frac{7}{2}} f^{2}}"," ",0,"-2/7/(c*f-d*e)/(f*x+e)^(7/2)*a^2+4/7/f/(c*f-d*e)/(f*x+e)^(7/2)*a*b*e-2/7/f^2/(c*f-d*e)/(f*x+e)^(7/2)*b^2*e^2+2/5/(c*f-d*e)^2/(f*x+e)^(5/2)*a^2*d-4/5/(c*f-d*e)^2/(f*x+e)^(5/2)*a*b*c+4/5/f/(c*f-d*e)^2/(f*x+e)^(5/2)*b^2*c*e-2/5/f^2/(c*f-d*e)^2/(f*x+e)^(5/2)*b^2*d*e^2-2/3/(c*f-d*e)^3/(f*x+e)^(3/2)*a^2*d^2+4/3/(c*f-d*e)^3/(f*x+e)^(3/2)*a*b*c*d-2/3/(c*f-d*e)^3/(f*x+e)^(3/2)*b^2*c^2+2/(c*f-d*e)^4*d^3/(f*x+e)^(1/2)*a^2-4/(c*f-d*e)^4*d^2/(f*x+e)^(1/2)*a*b*c+2/(c*f-d*e)^4*d/(f*x+e)^(1/2)*b^2*c^2+2*d^4/(c*f-d*e)^4/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2-4*d^3/(c*f-d*e)^4/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b*c+2*d^2/(c*f-d*e)^4/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^2*c^2","B"
1782,1,1437,248,0.022000," ","int((b*x+a)^3*(f*x+e)^(5/2)/(d*x+c),x)","-\frac{2 a^{3} c^{3} f^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{3}}+\frac{6 a^{3} c^{2} e \,f^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{2}}-\frac{6 a^{3} c \,e^{2} f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d}+\frac{2 a^{3} e^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}}+\frac{6 a^{2} b \,c^{4} f^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{4}}-\frac{18 a^{2} b \,c^{3} e \,f^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{3}}+\frac{18 a^{2} b \,c^{2} e^{2} f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{2}}-\frac{6 a^{2} b c \,e^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d}-\frac{6 a \,b^{2} c^{5} f^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{5}}+\frac{18 a \,b^{2} c^{4} e \,f^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{4}}-\frac{18 a \,b^{2} c^{3} e^{2} f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{3}}+\frac{6 a \,b^{2} c^{2} e^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{2}}+\frac{2 b^{3} c^{6} f^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{6}}-\frac{6 b^{3} c^{5} e \,f^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{5}}+\frac{6 b^{3} c^{4} e^{2} f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{4}}-\frac{2 b^{3} c^{3} e^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{3}}+\frac{2 \sqrt{f x +e}\, a^{3} c^{2} f^{2}}{d^{3}}-\frac{4 \sqrt{f x +e}\, a^{3} c e f}{d^{2}}+\frac{2 \sqrt{f x +e}\, a^{3} e^{2}}{d}-\frac{6 \sqrt{f x +e}\, a^{2} b \,c^{3} f^{2}}{d^{4}}+\frac{12 \sqrt{f x +e}\, a^{2} b \,c^{2} e f}{d^{3}}-\frac{6 \sqrt{f x +e}\, a^{2} b c \,e^{2}}{d^{2}}+\frac{6 \sqrt{f x +e}\, a \,b^{2} c^{4} f^{2}}{d^{5}}-\frac{12 \sqrt{f x +e}\, a \,b^{2} c^{3} e f}{d^{4}}+\frac{6 \sqrt{f x +e}\, a \,b^{2} c^{2} e^{2}}{d^{3}}-\frac{2 \sqrt{f x +e}\, b^{3} c^{5} f^{2}}{d^{6}}+\frac{4 \sqrt{f x +e}\, b^{3} c^{4} e f}{d^{5}}-\frac{2 \sqrt{f x +e}\, b^{3} c^{3} e^{2}}{d^{4}}-\frac{2 \left(f x +e \right)^{\frac{3}{2}} a^{3} c f}{3 d^{2}}+\frac{2 \left(f x +e \right)^{\frac{3}{2}} a^{3} e}{3 d}+\frac{2 \left(f x +e \right)^{\frac{3}{2}} a^{2} b \,c^{2} f}{d^{3}}-\frac{2 \left(f x +e \right)^{\frac{3}{2}} a^{2} b c e}{d^{2}}-\frac{2 \left(f x +e \right)^{\frac{3}{2}} a \,b^{2} c^{3} f}{d^{4}}+\frac{2 \left(f x +e \right)^{\frac{3}{2}} a \,b^{2} c^{2} e}{d^{3}}+\frac{2 \left(f x +e \right)^{\frac{3}{2}} b^{3} c^{4} f}{3 d^{5}}-\frac{2 \left(f x +e \right)^{\frac{3}{2}} b^{3} c^{3} e}{3 d^{4}}+\frac{2 \left(f x +e \right)^{\frac{5}{2}} a^{3}}{5 d}-\frac{6 \left(f x +e \right)^{\frac{5}{2}} a^{2} b c}{5 d^{2}}+\frac{6 \left(f x +e \right)^{\frac{5}{2}} a \,b^{2} c^{2}}{5 d^{3}}-\frac{2 \left(f x +e \right)^{\frac{5}{2}} b^{3} c^{3}}{5 d^{4}}+\frac{6 \left(f x +e \right)^{\frac{7}{2}} a^{2} b}{7 d f}-\frac{6 \left(f x +e \right)^{\frac{7}{2}} a \,b^{2} c}{7 d^{2} f}-\frac{6 \left(f x +e \right)^{\frac{7}{2}} a \,b^{2} e}{7 d \,f^{2}}+\frac{2 \left(f x +e \right)^{\frac{7}{2}} b^{3} c^{2}}{7 d^{3} f}+\frac{2 \left(f x +e \right)^{\frac{7}{2}} b^{3} c e}{7 d^{2} f^{2}}+\frac{2 \left(f x +e \right)^{\frac{7}{2}} b^{3} e^{2}}{7 d \,f^{3}}+\frac{2 \left(f x +e \right)^{\frac{9}{2}} a \,b^{2}}{3 d \,f^{2}}-\frac{2 \left(f x +e \right)^{\frac{9}{2}} b^{3} c}{9 d^{2} f^{2}}-\frac{4 \left(f x +e \right)^{\frac{9}{2}} b^{3} e}{9 d \,f^{3}}+\frac{2 \left(f x +e \right)^{\frac{11}{2}} b^{3}}{11 d \,f^{3}}"," ",0,"-2/d^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^3*c^3*e^3-2/d^2*(f*x+e)^(3/2)*a^2*b*c*e-2*f^3/d^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^3*c^3+2*f^3/d^6/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^3*c^6+2/3/d*(f*x+e)^(3/2)*a^3*e-2/5/d^4*(f*x+e)^(5/2)*b^3*c^3+2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^3*e^3+2/d*a^3*e^2*(f*x+e)^(1/2)+12*f/d^3*a^2*b*c^2*e*(f*x+e)^(1/2)-18*f^2/d^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2*b*c^3*e+18*f/d^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2*b*c^2*e^2+18*f^2/d^4/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b^2*c^4*e-18*f/d^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b^2*c^3*e^2+2/11*b^3*(f*x+e)^(11/2)/d/f^3+6/7/f/d*(f*x+e)^(7/2)*a^2*b+2/5/d*(f*x+e)^(5/2)*a^3-2/9/f^2/d^2*(f*x+e)^(9/2)*b^3*c+2/7/f/d^3*(f*x+e)^(7/2)*b^3*c^2+2*f^2/d^3*a^3*c^2*(f*x+e)^(1/2)-2/d^4*b^3*c^3*e^2*(f*x+e)^(1/2)-6/5/d^2*(f*x+e)^(5/2)*a^2*b*c+6/5/d^3*(f*x+e)^(5/2)*a*b^2*c^2-2/3/d^4*(f*x+e)^(3/2)*b^3*c^3*e-4/9/f^3/d*(f*x+e)^(9/2)*b^3*e+2/7/f^3/d*(f*x+e)^(7/2)*b^3*e^2-2*f^2/d^6*b^3*c^5*(f*x+e)^(1/2)+2/3/f^2/d*(f*x+e)^(9/2)*a*b^2-2/3*f/d^2*(f*x+e)^(3/2)*a^3*c+2/3*f/d^5*(f*x+e)^(3/2)*b^3*c^4-6/7/f/d^2*(f*x+e)^(7/2)*a*b^2*c-6/7/f^2/d*(f*x+e)^(7/2)*a*b^2*e+2/7/f^2/d^2*(f*x+e)^(7/2)*b^3*c*e+2*f/d^3*(f*x+e)^(3/2)*a^2*b*c^2-2*f/d^4*(f*x+e)^(3/2)*a*b^2*c^3-4*f/d^2*a^3*c*e*(f*x+e)^(1/2)-6*f^2/d^4*a^2*b*c^3*(f*x+e)^(1/2)+6*f^2/d^5*a*b^2*c^4*(f*x+e)^(1/2)+4*f/d^5*b^3*c^4*e*(f*x+e)^(1/2)+2/d^3*(f*x+e)^(3/2)*a*b^2*c^2*e+6/d^3*a*b^2*c^2*e^2*(f*x+e)^(1/2)-6/d^2*a^2*b*c*e^2*(f*x+e)^(1/2)-12*f/d^4*a*b^2*c^3*e*(f*x+e)^(1/2)-6/d/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2*b*c*e^3+6/d^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b^2*c^2*e^3+6*f^2/d^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^3*c^2*e-6*f/d/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^3*c*e^2+6*f^3/d^4/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2*b*c^4-6*f^3/d^5/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b^2*c^5-6*f^2/d^5/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^3*c^5*e+6*f/d^4/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^3*c^4*e^2","B"
1783,1,984,216,0.016000," ","int((b*x+a)^3*(f*x+e)^(3/2)/(d*x+c),x)","\frac{2 a^{3} c^{2} f^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{2}}-\frac{4 a^{3} c e f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d}+\frac{2 a^{3} e^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}}-\frac{6 a^{2} b \,c^{3} f^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{3}}+\frac{12 a^{2} b \,c^{2} e f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{2}}-\frac{6 a^{2} b c \,e^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d}+\frac{6 a \,b^{2} c^{4} f^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{4}}-\frac{12 a \,b^{2} c^{3} e f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{3}}+\frac{6 a \,b^{2} c^{2} e^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{2}}-\frac{2 b^{3} c^{5} f^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{5}}+\frac{4 b^{3} c^{4} e f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{4}}-\frac{2 b^{3} c^{3} e^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{3}}-\frac{2 \sqrt{f x +e}\, a^{3} c f}{d^{2}}+\frac{2 \sqrt{f x +e}\, a^{3} e}{d}+\frac{6 \sqrt{f x +e}\, a^{2} b \,c^{2} f}{d^{3}}-\frac{6 \sqrt{f x +e}\, a^{2} b c e}{d^{2}}-\frac{6 \sqrt{f x +e}\, a \,b^{2} c^{3} f}{d^{4}}+\frac{6 \sqrt{f x +e}\, a \,b^{2} c^{2} e}{d^{3}}+\frac{2 \sqrt{f x +e}\, b^{3} c^{4} f}{d^{5}}-\frac{2 \sqrt{f x +e}\, b^{3} c^{3} e}{d^{4}}+\frac{2 \left(f x +e \right)^{\frac{3}{2}} a^{3}}{3 d}-\frac{2 \left(f x +e \right)^{\frac{3}{2}} a^{2} b c}{d^{2}}+\frac{2 \left(f x +e \right)^{\frac{3}{2}} a \,b^{2} c^{2}}{d^{3}}-\frac{2 \left(f x +e \right)^{\frac{3}{2}} b^{3} c^{3}}{3 d^{4}}+\frac{6 \left(f x +e \right)^{\frac{5}{2}} a^{2} b}{5 d f}-\frac{6 \left(f x +e \right)^{\frac{5}{2}} a \,b^{2} c}{5 d^{2} f}-\frac{6 \left(f x +e \right)^{\frac{5}{2}} a \,b^{2} e}{5 d \,f^{2}}+\frac{2 \left(f x +e \right)^{\frac{5}{2}} b^{3} c^{2}}{5 d^{3} f}+\frac{2 \left(f x +e \right)^{\frac{5}{2}} b^{3} c e}{5 d^{2} f^{2}}+\frac{2 \left(f x +e \right)^{\frac{5}{2}} b^{3} e^{2}}{5 d \,f^{3}}+\frac{6 \left(f x +e \right)^{\frac{7}{2}} a \,b^{2}}{7 d \,f^{2}}-\frac{2 \left(f x +e \right)^{\frac{7}{2}} b^{3} c}{7 d^{2} f^{2}}-\frac{4 \left(f x +e \right)^{\frac{7}{2}} b^{3} e}{7 d \,f^{3}}+\frac{2 \left(f x +e \right)^{\frac{9}{2}} b^{3}}{9 d \,f^{3}}"," ",0,"2/3/d*(f*x+e)^(3/2)*a^3-2/3/d^4*(f*x+e)^(3/2)*b^3*c^3+2/d*a^3*e*(f*x+e)^(1/2)+2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^3*e^2+2/5/f/d^3*(f*x+e)^(5/2)*b^3*c^2-2/d^4*b^3*c^3*e*(f*x+e)^(1/2)+2/d^3*(f*x+e)^(3/2)*a*b^2*c^2-2/7/f^2/d^2*(f*x+e)^(7/2)*b^3*c+6/5/f/d*(f*x+e)^(5/2)*a^2*b-2*f/d^2*a^3*c*(f*x+e)^(1/2)+2*f/d^5*b^3*c^4*(f*x+e)^(1/2)-4/7/f^3/d*(f*x+e)^(7/2)*b^3*e+2/5/f^3/d*(f*x+e)^(5/2)*b^3*e^2+6/7/f^2/d*(f*x+e)^(7/2)*a*b^2+2/9*b^3*(f*x+e)^(9/2)/d/f^3-2/d^2*(f*x+e)^(3/2)*a^2*b*c-12*f/d^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b^2*c^3*e+12*f/d^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2*b*c^2*e+2*f^2/d^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^3*c^2-2/d^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^3*c^3*e^2-6*f/d^4*a*b^2*c^3*(f*x+e)^(1/2)+6/d^3*a*b^2*c^2*e*(f*x+e)^(1/2)-6/d^2*a^2*b*c*e*(f*x+e)^(1/2)-2*f^2/d^5/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^3*c^5+6*f/d^3*a^2*b*c^2*(f*x+e)^(1/2)-6/5/f/d^2*(f*x+e)^(5/2)*a*b^2*c-6/5/f^2/d*(f*x+e)^(5/2)*a*b^2*e+2/5/f^2/d^2*(f*x+e)^(5/2)*b^3*c*e+4*f/d^4/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^3*c^4*e-6/d/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2*b*c*e^2+6/d^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b^2*c^2*e^2-4*f/d/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^3*c*e-6*f^2/d^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2*b*c^3+6*f^2/d^4/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b^2*c^4","B"
1784,1,629,186,0.016000," ","int((b*x+a)^3*(f*x+e)^(1/2)/(d*x+c),x)","-\frac{2 a^{3} c f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d}+\frac{2 a^{3} e \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}}+\frac{6 a^{2} b \,c^{2} f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{2}}-\frac{6 a^{2} b c e \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d}-\frac{6 a \,b^{2} c^{3} f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{3}}+\frac{6 a \,b^{2} c^{2} e \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{2}}+\frac{2 b^{3} c^{4} f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{4}}-\frac{2 b^{3} c^{3} e \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{3}}+\frac{2 \sqrt{f x +e}\, a^{3}}{d}-\frac{6 \sqrt{f x +e}\, a^{2} b c}{d^{2}}+\frac{6 \sqrt{f x +e}\, a \,b^{2} c^{2}}{d^{3}}-\frac{2 \sqrt{f x +e}\, b^{3} c^{3}}{d^{4}}+\frac{2 \left(f x +e \right)^{\frac{3}{2}} a^{2} b}{d f}-\frac{2 \left(f x +e \right)^{\frac{3}{2}} a \,b^{2} c}{d^{2} f}-\frac{2 \left(f x +e \right)^{\frac{3}{2}} a \,b^{2} e}{d \,f^{2}}+\frac{2 \left(f x +e \right)^{\frac{3}{2}} b^{3} c^{2}}{3 d^{3} f}+\frac{2 \left(f x +e \right)^{\frac{3}{2}} b^{3} c e}{3 d^{2} f^{2}}+\frac{2 \left(f x +e \right)^{\frac{3}{2}} b^{3} e^{2}}{3 d \,f^{3}}+\frac{6 \left(f x +e \right)^{\frac{5}{2}} a \,b^{2}}{5 d \,f^{2}}-\frac{2 \left(f x +e \right)^{\frac{5}{2}} b^{3} c}{5 d^{2} f^{2}}-\frac{4 \left(f x +e \right)^{\frac{5}{2}} b^{3} e}{5 d \,f^{3}}+\frac{2 \left(f x +e \right)^{\frac{7}{2}} b^{3}}{7 d \,f^{3}}"," ",0,"2/7*b^3*(f*x+e)^(7/2)/d/f^3+6/5/f^2/d*(f*x+e)^(5/2)*a*b^2-2/5/f^2/d^2*(f*x+e)^(5/2)*b^3*c-4/5/f^3/d*(f*x+e)^(5/2)*b^3*e+2/f/d*(f*x+e)^(3/2)*a^2*b-2/f/d^2*(f*x+e)^(3/2)*a*b^2*c-2/f^2/d*(f*x+e)^(3/2)*a*b^2*e+2/3/f/d^3*(f*x+e)^(3/2)*b^3*c^2+2/3/f^2/d^2*(f*x+e)^(3/2)*b^3*c*e+2/3/f^3/d*(f*x+e)^(3/2)*b^3*e^2+2/d*a^3*(f*x+e)^(1/2)-6/d^2*a^2*b*c*(f*x+e)^(1/2)+6/d^3*a*b^2*c^2*(f*x+e)^(1/2)-2/d^4*b^3*c^3*(f*x+e)^(1/2)-2*f/d/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^3*c+2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^3*e+6*f/d^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2*b*c^2-6/d/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2*b*c*e-6*f/d^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b^2*c^3+6/d^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b^2*c^2*e+2*f/d^4/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^3*c^4-2/d^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^3*c^3*e","B"
1785,1,372,164,0.013000," ","int((b*x+a)^3/(d*x+c)/(f*x+e)^(1/2),x)","\frac{2 a^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}}-\frac{6 a^{2} b c \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d}+\frac{6 a \,b^{2} c^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{2}}-\frac{2 b^{3} c^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\sqrt{\left(c f -d e \right) d}\, d^{3}}+\frac{6 \sqrt{f x +e}\, a^{2} b}{d f}-\frac{6 \sqrt{f x +e}\, a \,b^{2} c}{d^{2} f}-\frac{6 \sqrt{f x +e}\, a \,b^{2} e}{d \,f^{2}}+\frac{2 \sqrt{f x +e}\, b^{3} c^{2}}{d^{3} f}+\frac{2 \sqrt{f x +e}\, b^{3} c e}{d^{2} f^{2}}+\frac{2 \sqrt{f x +e}\, b^{3} e^{2}}{d \,f^{3}}+\frac{2 \left(f x +e \right)^{\frac{3}{2}} a \,b^{2}}{d \,f^{2}}-\frac{2 \left(f x +e \right)^{\frac{3}{2}} b^{3} c}{3 d^{2} f^{2}}-\frac{4 \left(f x +e \right)^{\frac{3}{2}} b^{3} e}{3 d \,f^{3}}+\frac{2 \left(f x +e \right)^{\frac{5}{2}} b^{3}}{5 d \,f^{3}}"," ",0,"2/5*b^3*(f*x+e)^(5/2)/d/f^3+2/f^2*b^2/d*(f*x+e)^(3/2)*a-2/3/f^2*b^3/d^2*(f*x+e)^(3/2)*c-4/3/f^3*b^3/d*(f*x+e)^(3/2)*e+6/f*b/d*a^2*(f*x+e)^(1/2)-6/f*b^2/d^2*a*c*(f*x+e)^(1/2)-6/f^2*b^2/d*a*e*(f*x+e)^(1/2)+2/f*b^3/d^3*c^2*(f*x+e)^(1/2)+2/f^2*b^3/d^2*c*e*(f*x+e)^(1/2)+2/f^3*b^3/d*e^2*(f*x+e)^(1/2)+2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^3-6/d/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2*b*c+6/d^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b^2*c^2-2/d^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^3*c^3","B"
1786,1,395,131,0.017000," ","int((b*x+a)^3/(d*x+c)/(f*x+e)^(3/2),x)","-\frac{2 a^{3} d \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right) \sqrt{\left(c f -d e \right) d}}+\frac{6 a^{2} b c \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right) \sqrt{\left(c f -d e \right) d}}-\frac{6 a \,b^{2} c^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right) \sqrt{\left(c f -d e \right) d}\, d}+\frac{2 b^{3} c^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right) \sqrt{\left(c f -d e \right) d}\, d^{2}}-\frac{2 a^{3}}{\left(c f -d e \right) \sqrt{f x +e}}+\frac{6 a^{2} b e}{\left(c f -d e \right) \sqrt{f x +e}\, f}-\frac{6 a \,b^{2} e^{2}}{\left(c f -d e \right) \sqrt{f x +e}\, f^{2}}+\frac{2 b^{3} e^{3}}{\left(c f -d e \right) \sqrt{f x +e}\, f^{3}}+\frac{6 \sqrt{f x +e}\, a \,b^{2}}{d \,f^{2}}-\frac{2 \sqrt{f x +e}\, b^{3} c}{d^{2} f^{2}}-\frac{4 \sqrt{f x +e}\, b^{3} e}{d \,f^{3}}+\frac{2 \left(f x +e \right)^{\frac{3}{2}} b^{3}}{3 d \,f^{3}}"," ",0,"2/3*b^3*(f*x+e)^(3/2)/d/f^3+6/f^2*b^2/d*a*(f*x+e)^(1/2)-2/f^2*b^3/d^2*c*(f*x+e)^(1/2)-4*b^3*e*(f*x+e)^(1/2)/d/f^3-2/(c*f-d*e)/(f*x+e)^(1/2)*a^3+6/f/(c*f-d*e)/(f*x+e)^(1/2)*a^2*b*e-6/f^2/(c*f-d*e)/(f*x+e)^(1/2)*a*b^2*e^2+2/f^3/(c*f-d*e)/(f*x+e)^(1/2)*b^3*e^3-2/(c*f-d*e)*d/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^3+6/(c*f-d*e)/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2*b*c-6/(c*f-d*e)/d/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b^2*c^2+2/(c*f-d*e)/d^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^3*c^3","B"
1787,1,501,145,0.022000," ","int((b*x+a)^3/(d*x+c)/(f*x+e)^(5/2),x)","\frac{2 a^{3} d^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{2} \sqrt{\left(c f -d e \right) d}}-\frac{6 a^{2} b c d \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{2} \sqrt{\left(c f -d e \right) d}}+\frac{6 a \,b^{2} c^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{2} \sqrt{\left(c f -d e \right) d}}-\frac{2 b^{3} c^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{2} \sqrt{\left(c f -d e \right) d}\, d}+\frac{2 a^{3} d}{\left(c f -d e \right)^{2} \sqrt{f x +e}}-\frac{6 a^{2} b c}{\left(c f -d e \right)^{2} \sqrt{f x +e}}+\frac{12 a \,b^{2} c e}{\left(c f -d e \right)^{2} \sqrt{f x +e}\, f}-\frac{6 a \,b^{2} d \,e^{2}}{\left(c f -d e \right)^{2} \sqrt{f x +e}\, f^{2}}-\frac{6 b^{3} c \,e^{2}}{\left(c f -d e \right)^{2} \sqrt{f x +e}\, f^{2}}+\frac{4 b^{3} d \,e^{3}}{\left(c f -d e \right)^{2} \sqrt{f x +e}\, f^{3}}-\frac{2 a^{3}}{3 \left(c f -d e \right) \left(f x +e \right)^{\frac{3}{2}}}+\frac{2 a^{2} b e}{\left(c f -d e \right) \left(f x +e \right)^{\frac{3}{2}} f}-\frac{2 a \,b^{2} e^{2}}{\left(c f -d e \right) \left(f x +e \right)^{\frac{3}{2}} f^{2}}+\frac{2 b^{3} e^{3}}{3 \left(c f -d e \right) \left(f x +e \right)^{\frac{3}{2}} f^{3}}+\frac{2 \sqrt{f x +e}\, b^{3}}{d \,f^{3}}"," ",0,"2*b^3*(f*x+e)^(1/2)/d/f^3-2/3/(c*f-d*e)/(f*x+e)^(3/2)*a^3+2/f/(c*f-d*e)/(f*x+e)^(3/2)*a^2*b*e-2/f^2/(c*f-d*e)/(f*x+e)^(3/2)*a*b^2*e^2+2/3/f^3/(c*f-d*e)/(f*x+e)^(3/2)*b^3*e^3+2/(c*f-d*e)^2/(f*x+e)^(1/2)*a^3*d-6/(c*f-d*e)^2/(f*x+e)^(1/2)*a^2*b*c+12/f/(c*f-d*e)^2/(f*x+e)^(1/2)*a*b^2*c*e-6/f^2/(c*f-d*e)^2/(f*x+e)^(1/2)*a*b^2*d*e^2-6/f^2/(c*f-d*e)^2/(f*x+e)^(1/2)*b^3*c*e^2+4/f^3/(c*f-d*e)^2/(f*x+e)^(1/2)*b^3*d*e^3+2*d^2/(c*f-d*e)^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^3-6*d/(c*f-d*e)^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2*b*c+6/(c*f-d*e)^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b^2*c^2-2/d/(c*f-d*e)^2/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^3*c^3","B"
1788,1,649,207,0.021000," ","int((b*x+a)^3/(d*x+c)/(f*x+e)^(7/2),x)","-\frac{2 a^{3} d^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{3} \sqrt{\left(c f -d e \right) d}}+\frac{6 a^{2} b c \,d^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{3} \sqrt{\left(c f -d e \right) d}}-\frac{6 a \,b^{2} c^{2} d \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{3} \sqrt{\left(c f -d e \right) d}}+\frac{2 b^{3} c^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{3} \sqrt{\left(c f -d e \right) d}}-\frac{2 a^{3} d^{2}}{\left(c f -d e \right)^{3} \sqrt{f x +e}}+\frac{6 a^{2} b c d}{\left(c f -d e \right)^{3} \sqrt{f x +e}}-\frac{6 a \,b^{2} c^{2}}{\left(c f -d e \right)^{3} \sqrt{f x +e}}+\frac{6 b^{3} c^{2} e}{\left(c f -d e \right)^{3} \sqrt{f x +e}\, f}-\frac{6 b^{3} c d \,e^{2}}{\left(c f -d e \right)^{3} \sqrt{f x +e}\, f^{2}}+\frac{2 b^{3} d^{2} e^{3}}{\left(c f -d e \right)^{3} \sqrt{f x +e}\, f^{3}}+\frac{2 a^{3} d}{3 \left(c f -d e \right)^{2} \left(f x +e \right)^{\frac{3}{2}}}-\frac{2 a^{2} b c}{\left(c f -d e \right)^{2} \left(f x +e \right)^{\frac{3}{2}}}+\frac{4 a \,b^{2} c e}{\left(c f -d e \right)^{2} \left(f x +e \right)^{\frac{3}{2}} f}-\frac{2 a \,b^{2} d \,e^{2}}{\left(c f -d e \right)^{2} \left(f x +e \right)^{\frac{3}{2}} f^{2}}-\frac{2 b^{3} c \,e^{2}}{\left(c f -d e \right)^{2} \left(f x +e \right)^{\frac{3}{2}} f^{2}}+\frac{4 b^{3} d \,e^{3}}{3 \left(c f -d e \right)^{2} \left(f x +e \right)^{\frac{3}{2}} f^{3}}-\frac{2 a^{3}}{5 \left(c f -d e \right) \left(f x +e \right)^{\frac{5}{2}}}+\frac{6 a^{2} b e}{5 \left(c f -d e \right) \left(f x +e \right)^{\frac{5}{2}} f}-\frac{6 a \,b^{2} e^{2}}{5 \left(c f -d e \right) \left(f x +e \right)^{\frac{5}{2}} f^{2}}+\frac{2 b^{3} e^{3}}{5 \left(c f -d e \right) \left(f x +e \right)^{\frac{5}{2}} f^{3}}"," ",0,"-2/5/(c*f-d*e)/(f*x+e)^(5/2)*a^3+6/5/f/(c*f-d*e)/(f*x+e)^(5/2)*a^2*b*e-6/5/f^2/(c*f-d*e)/(f*x+e)^(5/2)*a*b^2*e^2+2/5/f^3/(c*f-d*e)/(f*x+e)^(5/2)*b^3*e^3+2/3/(c*f-d*e)^2/(f*x+e)^(3/2)*a^3*d-2/(c*f-d*e)^2/(f*x+e)^(3/2)*a^2*b*c+4/f/(c*f-d*e)^2/(f*x+e)^(3/2)*a*b^2*c*e-2/f^2/(c*f-d*e)^2/(f*x+e)^(3/2)*a*b^2*d*e^2-2/f^2/(c*f-d*e)^2/(f*x+e)^(3/2)*b^3*c*e^2+4/3/f^3/(c*f-d*e)^2/(f*x+e)^(3/2)*b^3*d*e^3-2/(c*f-d*e)^3/(f*x+e)^(1/2)*a^3*d^2+6/(c*f-d*e)^3/(f*x+e)^(1/2)*a^2*b*c*d-6/(c*f-d*e)^3/(f*x+e)^(1/2)*a*b^2*c^2+6/f/(c*f-d*e)^3/(f*x+e)^(1/2)*b^3*c^2*e-6/f^2/(c*f-d*e)^3/(f*x+e)^(1/2)*b^3*c*d*e^2+2/f^3/(c*f-d*e)^3/(f*x+e)^(1/2)*b^3*d^2*e^3-2/(c*f-d*e)^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^3*d^3+6/(c*f-d*e)^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2*b*c*d^2-6/(c*f-d*e)^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b^2*c^2*d+2/(c*f-d*e)^3/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^3*c^3","B"
1789,1,756,236,0.026000," ","int((b*x+a)^3/(d*x+c)/(f*x+e)^(9/2),x)","\frac{2 a^{3} d^{4} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{4} \sqrt{\left(c f -d e \right) d}}-\frac{6 a^{2} b c \,d^{3} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{4} \sqrt{\left(c f -d e \right) d}}+\frac{6 a \,b^{2} c^{2} d^{2} \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{4} \sqrt{\left(c f -d e \right) d}}-\frac{2 b^{3} c^{3} d \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right)^{4} \sqrt{\left(c f -d e \right) d}}+\frac{2 a^{3} d^{3}}{\left(c f -d e \right)^{4} \sqrt{f x +e}}-\frac{6 a^{2} b c \,d^{2}}{\left(c f -d e \right)^{4} \sqrt{f x +e}}+\frac{6 a \,b^{2} c^{2} d}{\left(c f -d e \right)^{4} \sqrt{f x +e}}-\frac{2 b^{3} c^{3}}{\left(c f -d e \right)^{4} \sqrt{f x +e}}-\frac{2 a^{3} d^{2}}{3 \left(c f -d e \right)^{3} \left(f x +e \right)^{\frac{3}{2}}}+\frac{2 a^{2} b c d}{\left(c f -d e \right)^{3} \left(f x +e \right)^{\frac{3}{2}}}-\frac{2 a \,b^{2} c^{2}}{\left(c f -d e \right)^{3} \left(f x +e \right)^{\frac{3}{2}}}+\frac{2 b^{3} c^{2} e}{\left(c f -d e \right)^{3} \left(f x +e \right)^{\frac{3}{2}} f}-\frac{2 b^{3} c d \,e^{2}}{\left(c f -d e \right)^{3} \left(f x +e \right)^{\frac{3}{2}} f^{2}}+\frac{2 b^{3} d^{2} e^{3}}{3 \left(c f -d e \right)^{3} \left(f x +e \right)^{\frac{3}{2}} f^{3}}+\frac{2 a^{3} d}{5 \left(c f -d e \right)^{2} \left(f x +e \right)^{\frac{5}{2}}}-\frac{6 a^{2} b c}{5 \left(c f -d e \right)^{2} \left(f x +e \right)^{\frac{5}{2}}}+\frac{12 a \,b^{2} c e}{5 \left(c f -d e \right)^{2} \left(f x +e \right)^{\frac{5}{2}} f}-\frac{6 a \,b^{2} d \,e^{2}}{5 \left(c f -d e \right)^{2} \left(f x +e \right)^{\frac{5}{2}} f^{2}}-\frac{6 b^{3} c \,e^{2}}{5 \left(c f -d e \right)^{2} \left(f x +e \right)^{\frac{5}{2}} f^{2}}+\frac{4 b^{3} d \,e^{3}}{5 \left(c f -d e \right)^{2} \left(f x +e \right)^{\frac{5}{2}} f^{3}}-\frac{2 a^{3}}{7 \left(c f -d e \right) \left(f x +e \right)^{\frac{7}{2}}}+\frac{6 a^{2} b e}{7 \left(c f -d e \right) \left(f x +e \right)^{\frac{7}{2}} f}-\frac{6 a \,b^{2} e^{2}}{7 \left(c f -d e \right) \left(f x +e \right)^{\frac{7}{2}} f^{2}}+\frac{2 b^{3} e^{3}}{7 \left(c f -d e \right) \left(f x +e \right)^{\frac{7}{2}} f^{3}}"," ",0,"-2/7/(c*f-d*e)/(f*x+e)^(7/2)*a^3+6/7/f/(c*f-d*e)/(f*x+e)^(7/2)*a^2*b*e-6/7/f^2/(c*f-d*e)/(f*x+e)^(7/2)*a*b^2*e^2+2/7/f^3/(c*f-d*e)/(f*x+e)^(7/2)*b^3*e^3+2/5/(c*f-d*e)^2/(f*x+e)^(5/2)*a^3*d-6/5/(c*f-d*e)^2/(f*x+e)^(5/2)*a^2*b*c+12/5/f/(c*f-d*e)^2/(f*x+e)^(5/2)*a*b^2*c*e-6/5/f^2/(c*f-d*e)^2/(f*x+e)^(5/2)*a*b^2*d*e^2-6/5/f^2/(c*f-d*e)^2/(f*x+e)^(5/2)*b^3*c*e^2+4/5/f^3/(c*f-d*e)^2/(f*x+e)^(5/2)*b^3*d*e^3-2/3/(c*f-d*e)^3/(f*x+e)^(3/2)*a^3*d^2+2/(c*f-d*e)^3/(f*x+e)^(3/2)*a^2*b*c*d-2/(c*f-d*e)^3/(f*x+e)^(3/2)*a*b^2*c^2+2/f/(c*f-d*e)^3/(f*x+e)^(3/2)*b^3*c^2*e-2/f^2/(c*f-d*e)^3/(f*x+e)^(3/2)*b^3*c*d*e^2+2/3/f^3/(c*f-d*e)^3/(f*x+e)^(3/2)*b^3*d^2*e^3+2/(c*f-d*e)^4/(f*x+e)^(1/2)*a^3*d^3-6/(c*f-d*e)^4/(f*x+e)^(1/2)*a^2*b*c*d^2+6/(c*f-d*e)^4/(f*x+e)^(1/2)*a*b^2*c^2*d-2/(c*f-d*e)^4/(f*x+e)^(1/2)*b^3*c^3+2*d^4/(c*f-d*e)^4/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^3-6*d^3/(c*f-d*e)^4/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2*b*c+6*d^2/(c*f-d*e)^4/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b^2*c^2-2*d/(c*f-d*e)^4/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^3*c^3","B"
1790,1,45,73,0.004000," ","int((3*x+2)^6*(5*x+3)*(1-2*x)^(1/2),x)","-\frac{\left(7818525 x^{7}+44409222 x^{6}+113196204 x^{5}+171389520 x^{4}+172440720 x^{3}+122662080 x^{2}+64000896 x +23667392\right) \left(-2 x +1\right)^{\frac{3}{2}}}{36465}"," ",0,"-1/36465*(7818525*x^7+44409222*x^6+113196204*x^5+171389520*x^4+172440720*x^3+122662080*x^2+64000896*x+23667392)*(1-2*x)^(3/2)","A"
1791,1,40,64,0.003000," ","int((3*x+2)^5*(5*x+3)*(-2*x+1)^(1/2),x)","-\frac{\left(2673 x^{6}+13365 x^{5}+29565 x^{4}+38220 x^{3}+32220 x^{2}+18696 x +7288\right) \left(-2 x +1\right)^{\frac{3}{2}}}{33}"," ",0,"-1/33*(2673*x^6+13365*x^5+29565*x^4+38220*x^3+32220*x^2+18696*x+7288)*(-2*x+1)^(3/2)","A"
1792,1,35,55,0.004000," ","int((3*x+2)^4*(5*x+3)*(-2*x+1)^(1/2),x)","-\frac{\left(66825 x^{5}+288360 x^{4}+540000 x^{3}+577080 x^{2}+388704 x +163888\right) \left(-2 x +1\right)^{\frac{3}{2}}}{2145}"," ",0,"-1/2145*(66825*x^5+288360*x^4+540000*x^3+577080*x^2+388704*x+163888)*(-2*x+1)^(3/2)","A"
1793,1,30,46,0.004000," ","int((3*x+2)^3*(5*x+3)*(-2*x+1)^(1/2),x)","-\frac{\left(2025 x^{4}+7335 x^{3}+11205 x^{2}+9366 x +4442\right) \left(-2 x +1\right)^{\frac{3}{2}}}{165}"," ",0,"-1/165*(2025*x^4+7335*x^3+11205*x^2+9366*x+4442)*(-2*x+1)^(3/2)","A"
1794,1,25,37,0.004000," ","int((3*x+2)^2*(5*x+3)*(-2*x+1)^(1/2),x)","-\frac{\left(525 x^{3}+1530 x^{2}+1788 x +1016\right) \left(-2 x +1\right)^{\frac{3}{2}}}{105}"," ",0,"-1/105*(525*x^3+1530*x^2+1788*x+1016)*(-2*x+1)^(3/2)","A"
1795,1,20,28,0.001000," ","int((3*x+2)*(5*x+3)*(-2*x+1)^(1/2),x)","-\frac{\left(225 x^{2}+489 x +373\right) \left(-2 x +1\right)^{\frac{3}{2}}}{105}"," ",0,"-1/105*(225*x^2+489*x+373)*(-2*x+1)^(3/2)","A"
1796,1,15,19,0.003000," ","int((5*x+3)*(-2*x+1)^(1/2),x)","-\frac{\left(3 x +4\right) \left(-2 x +1\right)^{\frac{3}{2}}}{3}"," ",0,"-1/3*(3*x+4)*(-2*x+1)^(3/2)","A"
1797,1,38,37,0.007000," ","int((5*x+3)*(-2*x+1)^(1/2)/(3*x+2),x)","\frac{2 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{27}-\frac{5 \left(-2 x +1\right)^{\frac{3}{2}}}{9}-\frac{2 \sqrt{-2 x +1}}{9}"," ",0,"-5/9*(-2*x+1)^(3/2)+2/27*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)-2/9*(-2*x+1)^(1/2)","A"
1798,1,45,44,0.010000," ","int((5*x+3)*(-2*x+1)^(1/2)/(3*x+2)^2,x)","-\frac{8 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{21}+\frac{10 \sqrt{-2 x +1}}{9}-\frac{2 \sqrt{-2 x +1}}{27 \left(-2 x -\frac{4}{3}\right)}"," ",0,"10/9*(-2*x+1)^(1/2)-2/27*(-2*x+1)^(1/2)/(-4/3-2*x)-8/21*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1799,1,48,51,0.010000," ","int((5*x+3)*(-2*x+1)^(1/2)/(3*x+2)^3,x)","\frac{23 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{441}-\frac{36 \left(-\frac{71 \left(-2 x +1\right)^{\frac{3}{2}}}{756}+\frac{23 \sqrt{-2 x +1}}{108}\right)}{\left(-6 x -4\right)^{2}}"," ",0,"-36*(-71/756*(-2*x+1)^(3/2)+23/108*(-2*x+1)^(1/2))/(-4-6*x)^2+23/441*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1800,1,57,67,0.011000," ","int((5*x+3)*(-2*x+1)^(1/2)/(3*x+2)^4,x)","\frac{34 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{9261}+\frac{-\frac{34 \left(-2 x +1\right)^{\frac{5}{2}}}{49}-\frac{8 \left(-2 x +1\right)^{\frac{3}{2}}}{63}+\frac{34 \sqrt{-2 x +1}}{9}}{\left(-6 x -4\right)^{3}}"," ",0,"216*(-17/5292*(-2*x+1)^(5/2)-1/1701*(-2*x+1)^(3/2)+17/972*(-2*x+1)^(1/2))/(-6*x-4)^3+34/9261*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1801,1,66,83,0.013000," ","int((5*x+3)*(-2*x+1)^(1/2)/(3*x+2)^5,x)","\frac{5 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{9604}-\frac{1296 \left(\frac{5 \left(-2 x +1\right)^{\frac{7}{2}}}{21952}-\frac{55 \left(-2 x +1\right)^{\frac{5}{2}}}{28224}+\frac{209 \left(-2 x +1\right)^{\frac{3}{2}}}{108864}+\frac{5 \sqrt{-2 x +1}}{1728}\right)}{\left(-6 x -4\right)^{4}}"," ",0,"-1296*(5/21952*(-2*x+1)^(7/2)-55/28224*(-2*x+1)^(5/2)+209/108864*(-2*x+1)^(3/2)+5/1728*(-2*x+1)^(1/2))/(-6*x-4)^4+5/9604*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1802,1,75,99,0.012000," ","int((5*x+3)*(-2*x+1)^(1/2)/(3*x+2)^6,x)","\frac{2 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{21609}+\frac{-\frac{54 \left(-2 x +1\right)^{\frac{9}{2}}}{343}+\frac{12 \left(-2 x +1\right)^{\frac{7}{2}}}{7}-\frac{256 \left(-2 x +1\right)^{\frac{5}{2}}}{35}+\frac{52 \left(-2 x +1\right)^{\frac{3}{2}}}{7}+\frac{14 \sqrt{-2 x +1}}{3}}{\left(-6 x -4\right)^{5}}"," ",0,"7776*(-1/49392*(-2*x+1)^(9/2)+1/4536*(-2*x+1)^(7/2)-8/8505*(-2*x+1)^(5/2)+13/13608*(-2*x+1)^(3/2)+7/11664*(-2*x+1)^(1/2))/(-6*x-4)^5+2/21609*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1803,1,40,64,0.004000," ","int((3*x+2)^4*(5*x+3)^2*(-2*x+1)^(1/2),x)","-\frac{\left(289575 x^{6}+1425600 x^{5}+3106755 x^{4}+3960500 x^{3}+3298140 x^{2}+1895832 x +734904\right) \left(-2 x +1\right)^{\frac{3}{2}}}{2145}"," ",0,"-1/2145*(289575*x^6+1425600*x^5+3106755*x^4+3960500*x^3+3298140*x^2+1895832*x+734904)*(-2*x+1)^(3/2)","A"
1804,1,35,55,0.004000," ","int((3*x+2)^3*(5*x+3)^2*(-2*x+1)^(1/2),x)","-\frac{\left(111375 x^{5}+471825 x^{4}+868215 x^{3}+913245 x^{2}+607254 x +253898\right) \left(-2 x +1\right)^{\frac{3}{2}}}{2145}"," ",0,"-1/2145*(111375*x^5+471825*x^4+868215*x^3+913245*x^2+607254*x+253898)*(-2*x+1)^(3/2)","A"
1805,1,30,46,0.003000," ","int((3*x+2)^2*(5*x+3)^2*(-2*x+1)^(1/2),x)","-\frac{\left(23625 x^{4}+83650 x^{3}+125115 x^{2}+102714 x +48098\right) \left(-2 x +1\right)^{\frac{3}{2}}}{1155}"," ",0,"-1/1155*(23625*x^4+83650*x^3+125115*x^2+102714*x+48098)*(-2*x+1)^(3/2)","A"
1806,1,25,37,0.005000," ","int((3*x+2)*(5*x+3)^2*(-2*x+1)^(1/2),x)","-\frac{\left(875 x^{3}+2475 x^{2}+2817 x +1569\right) \left(-2 x +1\right)^{\frac{3}{2}}}{105}"," ",0,"-1/105*(875*x^3+2475*x^2+2817*x+1569)*(-2*x+1)^(3/2)","A"
1807,1,20,28,0.002000," ","int((5*x+3)^2*(-2*x+1)^(1/2),x)","-\frac{\left(75 x^{2}+156 x +115\right) \left(-2 x +1\right)^{\frac{3}{2}}}{21}"," ",0,"-1/21*(75*x^2+156*x+115)*(-2*x+1)^(3/2)","A"
1808,1,47,46,0.008000," ","int((5*x+3)^2*(-2*x+1)^(1/2)/(3*x+2),x)","-\frac{2 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{81}-\frac{155 \left(-2 x +1\right)^{\frac{3}{2}}}{54}+\frac{5 \left(-2 x +1\right)^{\frac{5}{2}}}{6}+\frac{2 \sqrt{-2 x +1}}{27}"," ",0,"-155/54*(-2*x+1)^(3/2)+5/6*(-2*x+1)^(5/2)-2/81*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)+2/27*(-2*x+1)^(1/2)","A"
1809,1,54,53,0.011000," ","int((5*x+3)^2*(-2*x+1)^(1/2)/(3*x+2)^2,x)","\frac{142 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{567}-\frac{25 \left(-2 x +1\right)^{\frac{3}{2}}}{27}-\frac{20 \sqrt{-2 x +1}}{27}+\frac{2 \sqrt{-2 x +1}}{81 \left(-2 x -\frac{4}{3}\right)}"," ",0,"-25/27*(-2*x+1)^(3/2)-20/27*(-2*x+1)^(1/2)+2/81*(-2*x+1)^(1/2)/(-2*x-4/3)+142/567*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1810,1,57,60,0.013000," ","int((5*x+3)^2*(-2*x+1)^(1/2)/(3*x+2)^3,x)","-\frac{863 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{1323}+\frac{50 \sqrt{-2 x +1}}{27}+\frac{-\frac{47 \left(-2 x +1\right)^{\frac{3}{2}}}{21}+\frac{139 \sqrt{-2 x +1}}{27}}{\left(-6 x -4\right)^{2}}"," ",0,"50/27*(-2*x+1)^(1/2)+2/3*(-47/14*(-2*x+1)^(3/2)+139/18*(-2*x+1)^(1/2))/(-6*x-4)^2-863/1323*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1811,1,57,67,0.013000," ","int((5*x+3)^2*(-2*x+1)^(1/2)/(3*x+2)^4,x)","\frac{2381 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{27783}-\frac{108 \left(-\frac{2519 \left(-2 x +1\right)^{\frac{5}{2}}}{15876}+\frac{3673 \left(-2 x +1\right)^{\frac{3}{2}}}{5103}-\frac{2381 \sqrt{-2 x +1}}{2916}\right)}{\left(-6 x -4\right)^{3}}"," ",0,"-108*(-2519/15876*(-2*x+1)^(5/2)+3673/5103*(-2*x+1)^(3/2)-2381/2916*(-2*x+1)^(1/2))/(-6*x-4)^3+2381/27783*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1812,1,66,83,0.011000," ","int((5*x+3)^2*(-2*x+1)^(1/2)/(3*x+2)^5,x)","\frac{4625 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{777924}+\frac{-\frac{4625 \left(-2 x +1\right)^{\frac{7}{2}}}{1372}+\frac{11675 \left(-2 x +1\right)^{\frac{5}{2}}}{1764}+\frac{16027 \left(-2 x +1\right)^{\frac{3}{2}}}{756}-\frac{4625 \sqrt{-2 x +1}}{108}}{\left(-6 x -4\right)^{4}}"," ",0,"648*(-4625/889056*(-2*x+1)^(7/2)+11675/1143072*(-2*x+1)^(5/2)+16027/489888*(-2*x+1)^(3/2)-4625/69984*(-2*x+1)^(1/2))/(-6*x-4)^4+4625/777924*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1813,1,75,99,0.014000," ","int((5*x+3)^2*(-2*x+1)^(1/2)/(3*x+2)^6,x)","\frac{31 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{37044}-\frac{3888 \left(\frac{31 \left(-2 x +1\right)^{\frac{9}{2}}}{84672}-\frac{31 \left(-2 x +1\right)^{\frac{7}{2}}}{7776}+\frac{37 \left(-2 x +1\right)^{\frac{5}{2}}}{3645}-\frac{983 \left(-2 x +1\right)^{\frac{3}{2}}}{489888}-\frac{1519 \sqrt{-2 x +1}}{139968}\right)}{\left(-6 x -4\right)^{5}}"," ",0,"-3888*(31/84672*(-2*x+1)^(9/2)-31/7776*(-2*x+1)^(7/2)+37/3645*(-2*x+1)^(5/2)-983/489888*(-2*x+1)^(3/2)-1519/139968*(-2*x+1)^(1/2))/(-6*x-4)^5+31/37044*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1814,1,84,115,0.013000," ","int((5*x+3)^2*(-2*x+1)^(1/2)/(3*x+2)^7,x)","\frac{1613 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{10890936}+\frac{-\frac{14517 \left(-2 x +1\right)^{\frac{11}{2}}}{19208}+\frac{27421 \left(-2 x +1\right)^{\frac{9}{2}}}{2744}-\frac{53229 \left(-2 x +1\right)^{\frac{7}{2}}}{980}+\frac{113751 \left(-2 x +1\right)^{\frac{5}{2}}}{980}-\frac{86837 \left(-2 x +1\right)^{\frac{3}{2}}}{1512}-\frac{11291 \sqrt{-2 x +1}}{216}}{\left(-6 x -4\right)^{6}}"," ",0,"23328*(-1613/49787136*(-2*x+1)^(11/2)+27421/64012032*(-2*x+1)^(9/2)-17743/7620480*(-2*x+1)^(7/2)+4213/846720*(-2*x+1)^(5/2)-86837/35271936*(-2*x+1)^(3/2)-11291/5038848*(-2*x+1)^(1/2))/(-6*x-4)^6+1613/10890936*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1815,1,45,73,0.005000," ","int((3*x+2)^4*(5*x+3)^3*(-2*x+1)^(1/2),x)","-\frac{\left(65154375 x^{7}+360231300 x^{6}+894452625 x^{5}+1320982290 x^{4}+1299289000 x^{3}+906777120 x^{2}+466679856 x +171312832\right) \left(-2 x +1\right)^{\frac{3}{2}}}{109395}"," ",0,"-1/109395*(65154375*x^7+360231300*x^6+894452625*x^5+1320982290*x^4+1299289000*x^3+906777120*x^2+466679856*x+171312832)*(-2*x+1)^(3/2)","A"
1816,1,40,64,0.005000," ","int((3*x+2)^3*(5*x+3)^3*(-2*x+1)^(1/2),x)","-\frac{\left(1447875 x^{6}+7016625 x^{5}+15061950 x^{4}+18934285 x^{3}+15577455 x^{2}+8871906 x +3420622\right) \left(-2 x +1\right)^{\frac{3}{2}}}{6435}"," ",0,"-1/6435*(1447875*x^6+7016625*x^5+15061950*x^4+18934285*x^3+15577455*x^2+8871906*x+3420622)*(-2*x+1)^(3/2)","A"
1817,1,35,55,0.004000," ","int((3*x+2)^2*(5*x+3)^3*(-2*x+1)^(1/2),x)","-\frac{\left(3898125 x^{5}+16206750 x^{4}+29300075 x^{3}+30337080 x^{2}+19918608 x +8261156\right) \left(-2 x +1\right)^{\frac{3}{2}}}{45045}"," ",0,"-1/45045*(3898125*x^5+16206750*x^4+29300075*x^3+30337080*x^2+19918608*x+8261156)*(-2*x+1)^(3/2)","A"
1818,1,30,46,0.003000," ","int((3*x+2)*(5*x+3)^3*(-2*x+1)^(1/2),x)","-\frac{\left(118125 x^{4}+408625 x^{3}+598350 x^{2}+482583 x +223231\right) \left(-2 x +1\right)^{\frac{3}{2}}}{3465}"," ",0,"-1/3465*(118125*x^4+408625*x^3+598350*x^2+482583*x+223231)*(-2*x+1)^(3/2)","A"
1819,1,25,37,0.004000," ","int((5*x+3)^3*(-2*x+1)^(1/2),x)","-\frac{\left(875 x^{3}+2400 x^{2}+2661 x +1454\right) \left(-2 x +1\right)^{\frac{3}{2}}}{63}"," ",0,"-1/63*(875*x^3+2400*x^2+2661*x+1454)*(-2*x+1)^(3/2)","A"
1820,1,56,55,0.007000," ","int((5*x+3)^3*(-2*x+1)^(1/2)/(3*x+2),x)","\frac{2 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{243}-\frac{5135 \left(-2 x +1\right)^{\frac{3}{2}}}{324}+\frac{80 \left(-2 x +1\right)^{\frac{5}{2}}}{9}-\frac{125 \left(-2 x +1\right)^{\frac{7}{2}}}{84}-\frac{2 \sqrt{-2 x +1}}{81}"," ",0,"-5135/324*(-2*x+1)^(3/2)+80/9*(-2*x+1)^(5/2)-125/84*(-2*x+1)^(7/2)+2/243*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)-2/81*(-2*x+1)^(1/2)","A"
1821,1,63,72,0.013000," ","int((5*x+3)^3*(-2*x+1)^(1/2)/(3*x+2)^2,x)","-\frac{212 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{1701}+\frac{25 \left(-2 x +1\right)^{\frac{5}{2}}}{18}-\frac{725 \left(-2 x +1\right)^{\frac{3}{2}}}{162}+\frac{10 \sqrt{-2 x +1}}{27}-\frac{2 \sqrt{-2 x +1}}{243 \left(-2 x -\frac{4}{3}\right)}"," ",0,"25/18*(-2*x+1)^(5/2)-725/162*(-2*x+1)^(3/2)+10/27*(-2*x+1)^(1/2)-2/243*(-2*x+1)^(1/2)/(-2*x-4/3)-212/1701*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1822,1,66,79,0.014000," ","int((5*x+3)^3*(-2*x+1)^(1/2)/(3*x+2)^3,x)","\frac{7559 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{11907}-\frac{125 \left(-2 x +1\right)^{\frac{3}{2}}}{81}-\frac{50 \sqrt{-2 x +1}}{27}-\frac{2 \left(-\frac{211 \left(-2 x +1\right)^{\frac{3}{2}}}{126}+\frac{209 \sqrt{-2 x +1}}{54}\right)}{3 \left(-6 x -4\right)^{2}}"," ",0,"-125/81*(-2*x+1)^(3/2)-50/27*(-2*x+1)^(1/2)-2/3*(-211/126*(-2*x+1)^(3/2)+209/54*(-2*x+1)^(1/2))/(-6*x-4)^2+7559/11907*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1823,1,66,86,0.014000," ","int((5*x+3)^3*(-2*x+1)^(1/2)/(3*x+2)^4,x)","-\frac{92996 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{83349}+\frac{250 \sqrt{-2 x +1}}{81}+\frac{-\frac{7454 \left(-2 x +1\right)^{\frac{5}{2}}}{441}+\frac{44092 \left(-2 x +1\right)^{\frac{3}{2}}}{567}-\frac{7246 \sqrt{-2 x +1}}{81}}{\left(-6 x -4\right)^{3}}"," ",0,"250/81*(-2*x+1)^(1/2)+2/3*(-3727/147*(-2*x+1)^(5/2)+22046/189*(-2*x+1)^(3/2)-3623/27*(-2*x+1)^(1/2))/(-6*x-4)^3-92996/83349*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1824,1,66,86,0.010000," ","int((5*x+3)^3*(-2*x+1)^(1/2)/(3*x+2)^5,x)","\frac{328715 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{2333772}-\frac{324 \left(-\frac{119095 \left(-2 x +1\right)^{\frac{7}{2}}}{444528}+\frac{3126535 \left(-2 x +1\right)^{\frac{5}{2}}}{1714608}-\frac{3040873 \left(-2 x +1\right)^{\frac{3}{2}}}{734832}+\frac{328715 \sqrt{-2 x +1}}{104976}\right)}{\left(-6 x -4\right)^{4}}"," ",0,"-324*(-119095/444528*(-2*x+1)^(7/2)+3126535/1714608*(-2*x+1)^(5/2)-3040873/734832*(-2*x+1)^(3/2)+328715/104976*(-2*x+1)^(1/2))/(-6*x-4)^4+328715/2333772*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1825,1,75,102,0.013000," ","int((5*x+3)^3*(-2*x+1)^(1/2)/(3*x+2)^6,x)","\frac{11237 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{1166886}+\frac{-\frac{11237 \left(-2 x +1\right)^{\frac{9}{2}}}{686}+\frac{4237 \left(-2 x +1\right)^{\frac{7}{2}}}{63}+\frac{39632 \left(-2 x +1\right)^{\frac{5}{2}}}{945}-\frac{263117 \left(-2 x +1\right)^{\frac{3}{2}}}{567}+\frac{78659 \sqrt{-2 x +1}}{162}}{\left(-6 x -4\right)^{5}}"," ",0,"1944*(-11237/1333584*(-2*x+1)^(9/2)+4237/122472*(-2*x+1)^(7/2)+4954/229635*(-2*x+1)^(5/2)-263117/1102248*(-2*x+1)^(3/2)+78659/314928*(-2*x+1)^(1/2))/(-6*x-4)^5+11237/1166886*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1826,1,84,118,0.013000," ","int((5*x+3)^3*(-2*x+1)^(1/2)/(3*x+2)^7,x)","\frac{43957 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{32672808}-\frac{11664 \left(\frac{43957 \left(-2 x +1\right)^{\frac{11}{2}}}{74680704}-\frac{747269 \left(-2 x +1\right)^{\frac{9}{2}}}{96018048}+\frac{1058581 \left(-2 x +1\right)^{\frac{7}{2}}}{34292160}-\frac{1354639 \left(-2 x +1\right)^{\frac{5}{2}}}{34292160}-\frac{630947 \left(-2 x +1\right)^{\frac{3}{2}}}{52907904}+\frac{307699 \sqrt{-2 x +1}}{7558272}\right)}{\left(-6 x -4\right)^{6}}"," ",0,"-11664*(43957/74680704*(-2*x+1)^(11/2)-747269/96018048*(-2*x+1)^(9/2)+1058581/34292160*(-2*x+1)^(7/2)-1354639/34292160*(-2*x+1)^(5/2)-630947/52907904*(-2*x+1)^(3/2)+307699/7558272*(-2*x+1)^(1/2))/(-6*x-4)^6+43957/32672808*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1827,1,93,134,0.014000," ","int((5*x+3)^3*(-2*x+1)^(1/2)/(3*x+2)^8,x)","\frac{47434 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{200120949}+\frac{-\frac{426906 \left(-2 x +1\right)^{\frac{13}{2}}}{117649}+\frac{948680 \left(-2 x +1\right)^{\frac{11}{2}}}{16807}-\frac{13423822 \left(-2 x +1\right)^{\frac{9}{2}}}{36015}+\frac{41712416 \left(-2 x +1\right)^{\frac{7}{2}}}{36015}-\frac{10203122 \left(-2 x +1\right)^{\frac{5}{2}}}{6615}+\frac{201304 \left(-2 x +1\right)^{\frac{3}{2}}}{567}+\frac{47434 \sqrt{-2 x +1}}{81}}{\left(-6 x -4\right)^{7}}"," ",0,"69984*(-23717/457419312*(-2*x+1)^(13/2)+118585/147027636*(-2*x+1)^(11/2)-6711911/1260236880*(-2*x+1)^(9/2)+1303513/78764805*(-2*x+1)^(7/2)-5101561/231472080*(-2*x+1)^(5/2)+25163/4960116*(-2*x+1)^(3/2)+23717/2834352*(-2*x+1)^(1/2))/(-6*x-4)^7+47434/200120949*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1828,1,65,64,0.008000," ","int((3*x+2)^4*(-2*x+1)^(1/2)/(5*x+3),x)","-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{15625}-\frac{45473 \left(-2 x +1\right)^{\frac{3}{2}}}{5000}+\frac{34371 \left(-2 x +1\right)^{\frac{5}{2}}}{5000}-\frac{2889 \left(-2 x +1\right)^{\frac{7}{2}}}{1400}+\frac{9 \left(-2 x +1\right)^{\frac{9}{2}}}{40}+\frac{2 \sqrt{-2 x +1}}{3125}"," ",0,"-45473/5000*(-2*x+1)^(3/2)+34371/5000*(-2*x+1)^(5/2)-2889/1400*(-2*x+1)^(7/2)+9/40*(-2*x+1)^(9/2)-2/15625*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+2/3125*(-2*x+1)^(1/2)","A"
1829,1,56,55,0.007000," ","int((3*x+2)^3*(-2*x+1)^(1/2)/(5*x+3),x)","-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{3125}-\frac{1299 \left(-2 x +1\right)^{\frac{3}{2}}}{500}+\frac{162 \left(-2 x +1\right)^{\frac{5}{2}}}{125}-\frac{27 \left(-2 x +1\right)^{\frac{7}{2}}}{140}+\frac{2 \sqrt{-2 x +1}}{625}"," ",0,"-1299/500*(-2*x+1)^(3/2)+162/125*(-2*x+1)^(5/2)-27/140*(-2*x+1)^(7/2)-2/3125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+2/625*(-2*x+1)^(1/2)","A"
1830,1,47,46,0.007000," ","int((3*x+2)^2*(-2*x+1)^(1/2)/(5*x+3),x)","-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{625}-\frac{37 \left(-2 x +1\right)^{\frac{3}{2}}}{50}+\frac{9 \left(-2 x +1\right)^{\frac{5}{2}}}{50}+\frac{2 \sqrt{-2 x +1}}{125}"," ",0,"-37/50*(-2*x+1)^(3/2)+9/50*(-2*x+1)^(5/2)-2/625*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+2/125*(-2*x+1)^(1/2)","A"
1831,1,38,37,0.005000," ","int((3*x+2)*(-2*x+1)^(1/2)/(5*x+3),x)","-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{125}-\frac{\left(-2 x +1\right)^{\frac{3}{2}}}{5}+\frac{2 \sqrt{-2 x +1}}{25}"," ",0,"-1/5*(-2*x+1)^(3/2)-2/125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+2/25*(-2*x+1)^(1/2)","A"
1832,1,29,28,0.006000," ","int((-2*x+1)^(1/2)/(5*x+3),x)","-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{25}+\frac{2 \sqrt{-2 x +1}}{5}"," ",0,"-2/25*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+2/5*(-2*x+1)^(1/2)","A"
1833,1,38,37,0.010000," ","int((-2*x+1)^(1/2)/(3*x+2)/(5*x+3),x)","\frac{2 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{3}-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{5}"," ",0,"-2/5*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+2/3*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1834,1,54,52,0.012000," ","int((-2*x+1)^(1/2)/(3*x+2)^2/(5*x+3),x)","\frac{68 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{21}-2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)-\frac{2 \sqrt{-2 x +1}}{3 \left(-2 x -\frac{4}{3}\right)}"," ",0,"-2*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-2/3*(-2*x+1)^(1/2)/(-2*x-4/3)+68/21*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1835,1,66,69,0.011000," ","int((-2*x+1)^(1/2)/(3*x+2)^3/(5*x+3),x)","\frac{793 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{49}-10 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)-\frac{18 \left(\frac{23 \left(-2 x +1\right)^{\frac{3}{2}}}{14}-\frac{71 \sqrt{-2 x +1}}{18}\right)}{\left(-6 x -4\right)^{2}}"," ",0,"-10*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-18*(23/14*(-2*x+1)^(3/2)-71/18*(-2*x+1)^(1/2))/(-6*x-4)^2+793/49*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1836,1,75,85,0.013000," ","int((-2*x+1)^(1/2)/(3*x+2)^4/(5*x+3),x)","\frac{83264 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{1029}-50 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)-\frac{54 \left(\frac{1207 \left(-2 x +1\right)^{\frac{5}{2}}}{147}-\frac{7346 \left(-2 x +1\right)^{\frac{3}{2}}}{189}+\frac{1243 \sqrt{-2 x +1}}{27}\right)}{\left(-6 x -4\right)^{3}}"," ",0,"-50*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-54*(1207/147*(-2*x+1)^(5/2)-7346/189*(-2*x+1)^(3/2)+1243/27*(-2*x+1)^(1/2))/(-6*x-4)^3+83264/1029*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1837,1,84,101,0.013000," ","int((-2*x+1)^(1/2)/(3*x+2)^5/(5*x+3),x)","\frac{11656955 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{28812}-250 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)-\frac{162 \left(\frac{337955 \left(-2 x +1\right)^{\frac{7}{2}}}{8232}-\frac{3070705 \left(-2 x +1\right)^{\frac{5}{2}}}{10584}+\frac{3100927 \left(-2 x +1\right)^{\frac{3}{2}}}{4536}-\frac{116015 \sqrt{-2 x +1}}{216}\right)}{\left(-6 x -4\right)^{4}}"," ",0,"-250*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-162*(337955/8232*(-2*x+1)^(7/2)-3070705/10584*(-2*x+1)^(5/2)+3100927/4536*(-2*x+1)^(3/2)-116015/216*(-2*x+1)^(1/2))/(-6*x-4)^4+11656955/28812*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1838,1,81,104,0.011000," ","int((3*x+2)^5*(-2*x+1)^(1/2)/(5*x+3)^2,x)","-\frac{328 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{859375}+\frac{27 \left(-2 x +1\right)^{\frac{9}{2}}}{200}-\frac{8829 \left(-2 x +1\right)^{\frac{7}{2}}}{7000}+\frac{107109 \left(-2 x +1\right)^{\frac{5}{2}}}{25000}-\frac{144681 \left(-2 x +1\right)^{\frac{3}{2}}}{25000}+\frac{6 \sqrt{-2 x +1}}{3125}+\frac{2 \sqrt{-2 x +1}}{78125 \left(-2 x -\frac{6}{5}\right)}"," ",0,"27/200*(-2*x+1)^(9/2)-8829/7000*(-2*x+1)^(7/2)+107109/25000*(-2*x+1)^(5/2)-144681/25000*(-2*x+1)^(3/2)+6/3125*(-2*x+1)^(1/2)+2/78125*(-2*x+1)^(1/2)/(-6/5-2*x)-328/859375*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1839,1,72,88,0.011000," ","int((3*x+2)^4*(-2*x+1)^(1/2)/(5*x+3)^2,x)","-\frac{262 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{171875}-\frac{81 \left(-2 x +1\right)^{\frac{7}{2}}}{700}+\frac{999 \left(-2 x +1\right)^{\frac{5}{2}}}{1250}-\frac{4131 \left(-2 x +1\right)^{\frac{3}{2}}}{2500}+\frac{24 \sqrt{-2 x +1}}{3125}+\frac{2 \sqrt{-2 x +1}}{15625 \left(-2 x -\frac{6}{5}\right)}"," ",0,"-81/700*(-2*x+1)^(7/2)+999/1250*(-2*x+1)^(5/2)-4131/2500*(-2*x+1)^(3/2)+24/3125*(-2*x+1)^(1/2)+2/15625*(-2*x+1)^(1/2)/(-2*x-6/5)-262/171875*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1840,1,63,67,0.010000," ","int((3*x+2)^3*(-2*x+1)^(1/2)/(5*x+3)^2,x)","-\frac{196 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{34375}+\frac{27 \left(-2 x +1\right)^{\frac{5}{2}}}{250}-\frac{117 \left(-2 x +1\right)^{\frac{3}{2}}}{250}+\frac{18 \sqrt{-2 x +1}}{625}+\frac{2 \sqrt{-2 x +1}}{3125 \left(-2 x -\frac{6}{5}\right)}"," ",0,"27/250*(-2*x+1)^(5/2)-117/250*(-2*x+1)^(3/2)+18/625*(-2*x+1)^(1/2)+2/3125*(-2*x+1)^(1/2)/(-2*x-6/5)-196/34375*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1841,1,54,53,0.013000," ","int((3*x+2)^2*(-2*x+1)^(1/2)/(5*x+3)^2,x)","-\frac{26 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1375}-\frac{3 \left(-2 x +1\right)^{\frac{3}{2}}}{25}+\frac{12 \sqrt{-2 x +1}}{125}+\frac{2 \sqrt{-2 x +1}}{625 \left(-2 x -\frac{6}{5}\right)}"," ",0,"-3/25*(-2*x+1)^(3/2)+12/125*(-2*x+1)^(1/2)+2/625*(-2*x+1)^(1/2)/(-2*x-6/5)-26/1375*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1842,1,45,44,0.010000," ","int((3*x+2)*(-2*x+1)^(1/2)/(5*x+3)^2,x)","-\frac{64 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1375}+\frac{6 \sqrt{-2 x +1}}{25}+\frac{2 \sqrt{-2 x +1}}{125 \left(-2 x -\frac{6}{5}\right)}"," ",0,"6/25*(-2*x+1)^(1/2)+2/125*(-2*x+1)^(1/2)/(-2*x-6/5)-64/1375*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1843,1,36,35,0.009000," ","int((-2*x+1)^(1/2)/(5*x+3)^2,x)","\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{275}+\frac{2 \sqrt{-2 x +1}}{25 \left(-2 x -\frac{6}{5}\right)}"," ",0,"2/25*(-2*x+1)^(1/2)/(-2*x-6/5)+2/275*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1844,1,54,53,0.011000," ","int((-2*x+1)^(1/2)/(3*x+2)/(5*x+3)^2,x)","-2 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)+\frac{68 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{55}+\frac{2 \sqrt{-2 x +1}}{5 \left(-2 x -\frac{6}{5}\right)}"," ",0,"2/5*(-2*x+1)^(1/2)/(-2*x-6/5)+68/55*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-2*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1845,1,70,75,0.014000," ","int((-2*x+1)^(1/2)/(3*x+2)^2/(5*x+3)^2,x)","-\frac{138 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{7}+\frac{134 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{11}+\frac{2 \sqrt{-2 x +1}}{-2 x -\frac{6}{5}}+\frac{2 \sqrt{-2 x +1}}{-2 x -\frac{4}{3}}"," ",0,"2*(-2*x+1)^(1/2)/(-2*x-6/5)+134/11*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+2*(-2*x+1)^(1/2)/(-2*x-4/3)-138/7*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1846,1,82,99,0.013000," ","int((-2*x+1)^(1/2)/(3*x+2)^3/(5*x+3)^2,x)","-\frac{7209 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{49}+\frac{1000 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{11}+\frac{10 \sqrt{-2 x +1}}{-2 x -\frac{6}{5}}+\frac{\frac{1251 \left(-2 x +1\right)^{\frac{3}{2}}}{7}-423 \sqrt{-2 x +1}}{\left(-6 x -4\right)^{2}}"," ",0,"10*(-2*x+1)^(1/2)/(-2*x-6/5)+1000/11*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+162*(139/126*(-2*x+1)^(3/2)-47/18*(-2*x+1)^(1/2))/(-6*x-4)^2-7209/49*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1847,1,91,122,0.016000," ","int((-2*x+1)^(1/2)/(3*x+2)^4/(5*x+3)^2,x)","-\frac{335579 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{343}+\frac{6650 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{11}+\frac{50 \sqrt{-2 x +1}}{-2 x -\frac{6}{5}}+\frac{\frac{196533 \left(-2 x +1\right)^{\frac{5}{2}}}{49}-\frac{132276 \left(-2 x +1\right)^{\frac{3}{2}}}{7}+22263 \sqrt{-2 x +1}}{\left(-6 x -4\right)^{3}}"," ",0,"50*(-2*x+1)^(1/2)/(-2*x-6/5)+6650/11*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+324*(7279/588*(-2*x+1)^(5/2)-11023/189*(-2*x+1)^(3/2)+7421/108*(-2*x+1)^(1/2))/(-6*x-4)^3-335579/343*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1848,1,75,95,0.016000," ","int((3*x+2)^4*(-2*x+1)^(1/2)/(5*x+3)^3,x)","-\frac{12803 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1890625}+\frac{81 \left(-2 x +1\right)^{\frac{5}{2}}}{1250}-\frac{369 \left(-2 x +1\right)^{\frac{3}{2}}}{1250}+\frac{108 \sqrt{-2 x +1}}{3125}+\frac{\frac{263 \left(-2 x +1\right)^{\frac{3}{2}}}{6875}-\frac{53 \sqrt{-2 x +1}}{625}}{\left(-10 x -6\right)^{2}}"," ",0,"81/1250*(-2*x+1)^(5/2)-369/1250*(-2*x+1)^(3/2)+108/3125*(-2*x+1)^(1/2)+4/125*(263/220*(-2*x+1)^(3/2)-53/20*(-2*x+1)^(1/2))/(-6-10*x)^2-12803/1890625*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1849,1,66,79,0.011000," ","int((3*x+2)^3*(-2*x+1)^(1/2)/(5*x+3)^3,x)","-\frac{1267 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{75625}-\frac{9 \left(-2 x +1\right)^{\frac{3}{2}}}{125}+\frac{54 \sqrt{-2 x +1}}{625}+\frac{\frac{197 \left(-2 x +1\right)^{\frac{3}{2}}}{1375}-\frac{199 \sqrt{-2 x +1}}{625}}{\left(-10 x -6\right)^{2}}"," ",0,"-9/125*(-2*x+1)^(3/2)+54/625*(-2*x+1)^(1/2)+2/25*(197/110*(-2*x+1)^(3/2)-199/50*(-2*x+1)^(1/2))/(-10*x-6)^2-1267/75625*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1850,1,57,60,0.013000," ","int((3*x+2)^2*(-2*x+1)^(1/2)/(5*x+3)^3,x)","-\frac{409 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{15125}+\frac{18 \sqrt{-2 x +1}}{125}+\frac{\frac{131 \left(-2 x +1\right)^{\frac{3}{2}}}{275}-\frac{133 \sqrt{-2 x +1}}{125}}{\left(-10 x -6\right)^{2}}"," ",0,"18/125*(-2*x+1)^(1/2)+2/5*(131/110*(-2*x+1)^(3/2)-133/50*(-2*x+1)^(1/2))/(-10*x-6)^2-409/15125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1851,1,48,51,0.012000," ","int((3*x+2)*(-2*x+1)^(1/2)/(5*x+3)^3,x)","\frac{67 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{15125}-\frac{100 \left(-\frac{13 \left(-2 x +1\right)^{\frac{3}{2}}}{1100}+\frac{67 \sqrt{-2 x +1}}{2500}\right)}{\left(-10 x -6\right)^{2}}"," ",0,"-100*(-13/1100*(-2*x+1)^(3/2)+67/2500*(-2*x+1)^(1/2))/(-10*x-6)^2+67/15125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1852,1,48,51,0.009000," ","int((-2*x+1)^(1/2)/(5*x+3)^3,x)","\frac{\sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{3025}+\frac{-\frac{\left(-2 x +1\right)^{\frac{3}{2}}}{11}-\frac{\sqrt{-2 x +1}}{5}}{\left(-10 x -6\right)^{2}}"," ",0,"200*(-1/2200*(-2*x+1)^(3/2)-1/1000*(-2*x+1)^(1/2))/(-10*x-6)^2+1/3025*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1853,1,66,69,0.013000," ","int((-2*x+1)^(1/2)/(3*x+2)/(5*x+3)^3,x)","6 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)-\frac{2243 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{605}+\frac{-\frac{335 \left(-2 x +1\right)^{\frac{3}{2}}}{11}+65 \sqrt{-2 x +1}}{\left(-10 x -6\right)^{2}}"," ",0,"50*(-67/110*(-2*x+1)^(3/2)+13/10*(-2*x+1)^(1/2))/(-10*x-6)^2-2243/605*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+6*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1854,1,82,91,0.013000," ","int((-2*x+1)^(1/2)/(3*x+2)^2/(5*x+3)^3,x)","\frac{624 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{7}-\frac{6665 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{121}+\frac{-\frac{3325 \left(-2 x +1\right)^{\frac{3}{2}}}{11}+655 \sqrt{-2 x +1}}{\left(-10 x -6\right)^{2}}-\frac{6 \sqrt{-2 x +1}}{-2 x -\frac{4}{3}}"," ",0,"250*(-133/110*(-2*x+1)^(3/2)+131/50*(-2*x+1)^(1/2))/(-10*x-6)^2-6665/121*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-6*(-2*x+1)^(1/2)/(-2*x-4/3)+624/7*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1855,1,94,115,0.016000," ","int((-2*x+1)^(1/2)/(3*x+2)^3/(5*x+3)^3,x)","\frac{43467 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{49}-\frac{66325 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{121}+\frac{-\frac{24875 \left(-2 x +1\right)^{\frac{3}{2}}}{11}+4925 \sqrt{-2 x +1}}{\left(-10 x -6\right)^{2}}-\frac{972 \left(\frac{209 \left(-2 x +1\right)^{\frac{3}{2}}}{252}-\frac{211 \sqrt{-2 x +1}}{108}\right)}{\left(-6 x -4\right)^{2}}"," ",0,"2500*(-199/220*(-2*x+1)^(3/2)+197/100*(-2*x+1)^(1/2))/(-10*x-6)^2-66325/121*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-972*(209/252*(-2*x+1)^(3/2)-211/108*(-2*x+1)^(1/2))/(-6*x-4)^2+43467/49*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1856,1,103,138,0.017000," ","int((-2*x+1)^(1/2)/(3*x+2)^4/(5*x+3)^3,x)","\frac{2528082 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{343}-\frac{551075 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{121}+\frac{-\frac{165625 \left(-2 x +1\right)^{\frac{3}{2}}}{11}+32875 \sqrt{-2 x +1}}{\left(-10 x -6\right)^{2}}-\frac{972 \left(\frac{7297 \left(-2 x +1\right)^{\frac{5}{2}}}{294}-\frac{22048 \left(-2 x +1\right)^{\frac{3}{2}}}{189}+\frac{7403 \sqrt{-2 x +1}}{54}\right)}{\left(-6 x -4\right)^{3}}"," ",0,"62500*(-53/220*(-2*x+1)^(3/2)+263/500*(-2*x+1)^(1/2))/(-10*x-6)^2-551075/121*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-972*(7297/294*(-2*x+1)^(5/2)-22048/189*(-2*x+1)^(3/2)+7403/54*(-2*x+1)^(1/2))/(-6*x-4)^3+2528082/343*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1857,1,45,73,0.003000," ","int((-2*x+1)^(3/2)*(3*x+2)^6*(5*x+3),x)","-\frac{\left(44304975 x^{7}+246022920 x^{6}+607227192 x^{5}+876286620 x^{4}+817490880 x^{3}+512679760 x^{2}+214047840 x +51677856\right) \left(-2 x +1\right)^{\frac{5}{2}}}{230945}"," ",0,"-1/230945*(44304975*x^7+246022920*x^6+607227192*x^5+876286620*x^4+817490880*x^3+512679760*x^2+214047840*x+51677856)*(-2*x+1)^(5/2)","A"
1858,1,40,64,0.004000," ","int((-2*x+1)^(3/2)*(3*x+2)^5*(5*x+3),x)","-\frac{\left(2606175 x^{6}+12660219 x^{5}+26832465 x^{4}+32431860 x^{3}+24424220 x^{2}+11562520 x +3012632\right) \left(-2 x +1\right)^{\frac{5}{2}}}{36465}"," ",0,"-1/36465*(2606175*x^6+12660219*x^5+26832465*x^4+32431860*x^3+24424220*x^2+11562520*x+3012632)*(-2*x+1)^(5/2)","A"
1859,1,35,55,0.005000," ","int((-2*x+1)^(3/2)*(3*x+2)^4*(5*x+3),x)","-\frac{\left(57915 x^{5}+240570 x^{4}+424440 x^{3}+410320 x^{2}+230000 x +66592\right) \left(-2 x +1\right)^{\frac{5}{2}}}{2145}"," ",0,"-1/2145*(57915*x^5+240570*x^4+424440*x^3+410320*x^2+230000*x+66592)*(-2*x+1)^(5/2)","A"
1860,1,30,46,0.003000," ","int((-2*x+1)^(3/2)*(3*x+2)^3*(5*x+3),x)","-\frac{\left(7425 x^{4}+25515 x^{3}+35675 x^{2}+25310 x +8494\right) \left(-2 x +1\right)^{\frac{5}{2}}}{715}"," ",0,"-1/715*(7425*x^4+25515*x^3+35675*x^2+25310*x+8494)*(-2*x+1)^(5/2)","A"
1861,1,25,37,0.004000," ","int((-2*x+1)^(3/2)*(3*x+2)^2*(5*x+3),x)","-\frac{\left(675 x^{3}+1820 x^{2}+1840 x +764\right) \left(-2 x +1\right)^{\frac{5}{2}}}{165}"," ",0,"-1/165*(675*x^3+1820*x^2+1840*x+764)*(-2*x+1)^(5/2)","A"
1862,1,20,28,0.003000," ","int((-2*x+1)^(3/2)*(3*x+2)*(5*x+3),x)","-\frac{\left(175 x^{2}+335 x +193\right) \left(-2 x +1\right)^{\frac{5}{2}}}{105}"," ",0,"-1/105*(175*x^2+335*x+193)*(-2*x+1)^(5/2)","A"
1863,1,15,19,0.003000," ","int((-2*x+1)^(3/2)*(5*x+3),x)","-\frac{\left(25 x +26\right) \left(-2 x +1\right)^{\frac{5}{2}}}{35}"," ",0,"-1/35*(25*x+26)*(-2*x+1)^(5/2)","A"
1864,1,47,46,0.006000," ","int((-2*x+1)^(3/2)*(5*x+3)/(3*x+2),x)","\frac{14 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{81}-\frac{2 \left(-2 x +1\right)^{\frac{3}{2}}}{27}-\frac{\left(-2 x +1\right)^{\frac{5}{2}}}{3}-\frac{14 \sqrt{-2 x +1}}{27}"," ",0,"-2/27*(-2*x+1)^(3/2)-1/3*(-2*x+1)^(5/2)+14/81*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)-14/27*(-2*x+1)^(1/2)","A"
1865,1,54,53,0.010000," ","int((-2*x+1)^(3/2)*(5*x+3)/(3*x+2)^2,x)","-\frac{76 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{81}+\frac{10 \left(-2 x +1\right)^{\frac{3}{2}}}{27}+\frac{74 \sqrt{-2 x +1}}{27}-\frac{14 \sqrt{-2 x +1}}{81 \left(-2 x -\frac{4}{3}\right)}"," ",0,"10/27*(-2*x+1)^(3/2)+74/27*(-2*x+1)^(1/2)-14/81*(-2*x+1)^(1/2)/(-2*x-4/3)-76/81*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1866,1,57,60,0.012000," ","int((-2*x+1)^(3/2)*(5*x+3)/(3*x+2)^3,x)","\frac{71 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{189}-\frac{20 \sqrt{-2 x +1}}{27}-\frac{4 \left(-\frac{25 \left(-2 x +1\right)^{\frac{3}{2}}}{4}+\frac{511 \sqrt{-2 x +1}}{36}\right)}{3 \left(-6 x -4\right)^{2}}"," ",0,"-20/27*(-2*x+1)^(1/2)-4/3*(-25/4*(-2*x+1)^(3/2)+511/36*(-2*x+1)^(1/2))/(-6*x-4)^2+71/189*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1867,1,57,67,0.010000," ","int((-2*x+1)^(3/2)*(5*x+3)/(3*x+2)^4,x)","-\frac{104 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{3969}+\frac{-\frac{176 \left(-2 x +1\right)^{\frac{5}{2}}}{21}+\frac{832 \left(-2 x +1\right)^{\frac{3}{2}}}{27}-\frac{728 \sqrt{-2 x +1}}{27}}{\left(-6 x -4\right)^{3}}"," ",0,"216*(-22/567*(-2*x+1)^(5/2)+104/729*(-2*x+1)^(3/2)-91/729*(-2*x+1)^(1/2))/(-6*x-4)^3-104/3969*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1868,1,66,83,0.018000," ","int((-2*x+1)^(3/2)*(5*x+3)/(3*x+2)^5,x)","-\frac{137 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{111132}-\frac{1296 \left(-\frac{137 \left(-2 x +1\right)^{\frac{7}{2}}}{254016}-\frac{733 \left(-2 x +1\right)^{\frac{5}{2}}}{326592}+\frac{1507 \left(-2 x +1\right)^{\frac{3}{2}}}{139968}-\frac{959 \sqrt{-2 x +1}}{139968}\right)}{\left(-6 x -4\right)^{4}}"," ",0,"-1296*(-137/254016*(-2*x+1)^(7/2)-733/326592*(-2*x+1)^(5/2)+1507/139968*(-2*x+1)^(3/2)-959/139968*(-2*x+1)^(1/2))/(-6*x-4)^4-137/111132*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1869,1,75,99,0.013000," ","int((-2*x+1)^(3/2)*(5*x+3)/(3*x+2)^6,x)","-\frac{17 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{129654}+\frac{\frac{153 \left(-2 x +1\right)^{\frac{9}{2}}}{686}-\frac{17 \left(-2 x +1\right)^{\frac{7}{2}}}{7}-\frac{32 \left(-2 x +1\right)^{\frac{5}{2}}}{105}+\frac{119 \left(-2 x +1\right)^{\frac{3}{2}}}{9}-\frac{119 \sqrt{-2 x +1}}{18}}{\left(-6 x -4\right)^{5}}"," ",0,"7776*(17/592704*(-2*x+1)^(9/2)-17/54432*(-2*x+1)^(7/2)-1/25515*(-2*x+1)^(5/2)+119/69984*(-2*x+1)^(3/2)-119/139968*(-2*x+1)^(1/2))/(-6*x-4)^5-17/129654*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1870,1,40,64,0.006000," ","int((-2*x+1)^(3/2)*(3*x+2)^4*(5*x+3)^2,x)","-\frac{\left(13030875 x^{6}+62316540 x^{5}+130072635 x^{4}+154943820 x^{3}+115145660 x^{2}+53902600 x +13931096\right) \left(-2 x +1\right)^{\frac{5}{2}}}{109395}"," ",0,"-1/109395*(13030875*x^6+62316540*x^5+130072635*x^4+154943820*x^3+115145660*x^2+53902600*x+13931096)*(-2*x+1)^(5/2)","A"
1871,1,35,55,0.004000," ","int((-2*x+1)^(3/2)*(3*x+2)^3*(5*x+3)^2,x)","-\frac{\left(289575 x^{5}+1180575 x^{4}+2045655 x^{3}+1944575 x^{2}+1074070 x +307478\right) \left(-2 x +1\right)^{\frac{5}{2}}}{6435}"," ",0,"-1/6435*(289575*x^5+1180575*x^4+2045655*x^3+1944575*x^2+1074070*x+307478)*(-2*x+1)^(5/2)","A"
1872,1,30,46,0.006000," ","int((-2*x+1)^(3/2)*(3*x+2)^2*(5*x+3)^2,x)","-\frac{\left(111375 x^{4}+373950 x^{3}+511465 x^{2}+355730 x +117478\right) \left(-2 x +1\right)^{\frac{5}{2}}}{6435}"," ",0,"-1/6435*(111375*x^4+373950*x^3+511465*x^2+355730*x+117478)*(-2*x+1)^(5/2)","A"
1873,1,25,37,0.004000," ","int((-2*x+1)^(3/2)*(3*x+2)*(5*x+3)^2,x)","-\frac{\left(23625 x^{3}+61775 x^{2}+60715 x +24617\right) \left(-2 x +1\right)^{\frac{5}{2}}}{3465}"," ",0,"-1/3465*(23625*x^3+61775*x^2+60715*x+24617)*(-2*x+1)^(5/2)","A"
1874,1,20,28,0.004000," ","int((-2*x+1)^(3/2)*(5*x+3)^2,x)","-\frac{\left(875 x^{2}+1600 x +887\right) \left(-2 x +1\right)^{\frac{5}{2}}}{315}"," ",0,"-1/315*(875*x^2+1600*x+887)*(-2*x+1)^(5/2)","A"
1875,1,56,55,0.008000," ","int((-2*x+1)^(3/2)*(5*x+3)^2/(3*x+2),x)","-\frac{14 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{243}+\frac{2 \left(-2 x +1\right)^{\frac{3}{2}}}{81}-\frac{31 \left(-2 x +1\right)^{\frac{5}{2}}}{18}+\frac{25 \left(-2 x +1\right)^{\frac{7}{2}}}{42}+\frac{14 \sqrt{-2 x +1}}{81}"," ",0,"2/81*(-2*x+1)^(3/2)-31/18*(-2*x+1)^(5/2)+25/42*(-2*x+1)^(7/2)-14/243*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)+14/81*(-2*x+1)^(1/2)","A"
1876,1,63,62,0.011000," ","int((-2*x+1)^(3/2)*(5*x+3)^2/(3*x+2)^2,x)","\frac{146 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{243}-\frac{5 \left(-2 x +1\right)^{\frac{5}{2}}}{9}-\frac{20 \left(-2 x +1\right)^{\frac{3}{2}}}{81}-\frac{16 \sqrt{-2 x +1}}{9}+\frac{14 \sqrt{-2 x +1}}{243 \left(-2 x -\frac{4}{3}\right)}"," ",0,"-5/9*(-2*x+1)^(5/2)-20/81*(-2*x+1)^(3/2)-16/9*(-2*x+1)^(1/2)+14/243*(-2*x+1)^(1/2)/(-2*x-4/3)+146/243*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1877,1,66,69,0.012000," ","int((-2*x+1)^(3/2)*(5*x+3)^2/(3*x+2)^3,x)","-\frac{2873 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{1701}+\frac{50 \left(-2 x +1\right)^{\frac{3}{2}}}{81}+\frac{130 \sqrt{-2 x +1}}{27}+\frac{-\frac{145 \left(-2 x +1\right)^{\frac{3}{2}}}{27}+\frac{1001 \sqrt{-2 x +1}}{81}}{\left(-6 x -4\right)^{2}}"," ",0,"50/81*(-2*x+1)^(3/2)+130/27*(-2*x+1)^(1/2)+2/3*(-145/18*(-2*x+1)^(3/2)+1001/54*(-2*x+1)^(1/2))/(-6*x-4)^2-2873/1701*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1878,1,66,76,0.012000," ","int((-2*x+1)^(3/2)*(5*x+3)^2/(3*x+2)^4,x)","\frac{7559 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{11907}-\frac{100 \sqrt{-2 x +1}}{81}-\frac{4 \left(-\frac{2801 \left(-2 x +1\right)^{\frac{5}{2}}}{84}+\frac{4093 \left(-2 x +1\right)^{\frac{3}{2}}}{27}-\frac{18613 \sqrt{-2 x +1}}{108}\right)}{3 \left(-6 x -4\right)^{3}}"," ",0,"-100/81*(-2*x+1)^(1/2)-4/3*(-2801/84*(-2*x+1)^(5/2)+4093/27*(-2*x+1)^(3/2)-18613/108*(-2*x+1)^(1/2))/(-6*x-4)^3+7559/11907*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1879,1,66,83,0.012000," ","int((-2*x+1)^(3/2)*(5*x+3)^2/(3*x+2)^5,x)","-\frac{14423 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{333396}+\frac{-\frac{8259 \left(-2 x +1\right)^{\frac{7}{2}}}{196}+\frac{189667 \left(-2 x +1\right)^{\frac{5}{2}}}{756}-\frac{158653 \left(-2 x +1\right)^{\frac{3}{2}}}{324}+\frac{100961 \sqrt{-2 x +1}}{324}}{\left(-6 x -4\right)^{4}}"," ",0,"648*(-2753/42336*(-2*x+1)^(7/2)+189667/489888*(-2*x+1)^(5/2)-158653/209952*(-2*x+1)^(3/2)+100961/209952*(-2*x+1)^(1/2))/(-6*x-4)^4-14423/333396*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1880,1,75,99,0.014000," ","int((-2*x+1)^(3/2)*(5*x+3)^2/(3*x+2)^6,x)","-\frac{4693 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{2333772}-\frac{3888 \left(-\frac{4693 \left(-2 x +1\right)^{\frac{9}{2}}}{5334336}-\frac{907 \left(-2 x +1\right)^{\frac{7}{2}}}{489888}+\frac{6119 \left(-2 x +1\right)^{\frac{5}{2}}}{229635}-\frac{32851 \left(-2 x +1\right)^{\frac{3}{2}}}{629856}+\frac{32851 \sqrt{-2 x +1}}{1259712}\right)}{\left(-6 x -4\right)^{5}}"," ",0,"-3888*(-4693/5334336*(-2*x+1)^(9/2)-907/489888*(-2*x+1)^(7/2)+6119/229635*(-2*x+1)^(5/2)-32851/629856*(-2*x+1)^(3/2)+32851/1259712*(-2*x+1)^(1/2))/(-6*x-4)^5-4693/2333772*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1881,1,84,115,0.014000," ","int((-2*x+1)^(3/2)*(5*x+3)^2/(3*x+2)^7,x)","-\frac{991 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{4667544}+\frac{\frac{2973 \left(-2 x +1\right)^{\frac{11}{2}}}{2744}-\frac{16847 \left(-2 x +1\right)^{\frac{9}{2}}}{1176}+\frac{10303 \left(-2 x +1\right)^{\frac{7}{2}}}{420}+\frac{29843 \left(-2 x +1\right)^{\frac{5}{2}}}{420}-\frac{117929 \left(-2 x +1\right)^{\frac{3}{2}}}{648}+\frac{48559 \sqrt{-2 x +1}}{648}}{\left(-6 x -4\right)^{6}}"," ",0,"23328*(991/21337344*(-2*x+1)^(11/2)-16847/27433728*(-2*x+1)^(9/2)+10303/9797760*(-2*x+1)^(7/2)+29843/9797760*(-2*x+1)^(5/2)-117929/15116544*(-2*x+1)^(3/2)+48559/15116544*(-2*x+1)^(1/2))/(-6*x-4)^6-991/4667544*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1882,1,45,73,0.006000," ","int((-2*x+1)^(3/2)*(3*x+2)^4*(5*x+3)^3,x)","-\frac{\left(369208125 x^{7}+1995171750 x^{6}+4795033815 x^{5}+6744559140 x^{4}+6142984080 x^{3}+3771434840 x^{2}+1547888800 x +369438704\right) \left(-2 x +1\right)^{\frac{5}{2}}}{692835}"," ",0,"-1/692835*(369208125*x^7+1995171750*x^6+4795033815*x^5+6744559140*x^4+6142984080*x^3+3771434840*x^2+1547888800*x+369438704)*(-2*x+1)^(5/2)","A"
1883,1,40,64,0.005000," ","int((-2*x+1)^(3/2)*(3*x+2)^3*(5*x+3)^3,x)","-\frac{\left(7239375 x^{6}+34073325 x^{5}+70032600 x^{4}+82215885 x^{3}+60296725 x^{2}+27917090 x +7158706\right) \left(-2 x +1\right)^{\frac{5}{2}}}{36465}"," ",0,"-1/36465*(7239375*x^6+34073325*x^5+70032600*x^4+82215885*x^3+60296725*x^2+27917090*x+7158706)*(-2*x+1)^(5/2)","A"
1884,1,35,55,0.004000," ","int((-2*x+1)^(3/2)*(3*x+2)^2*(5*x+3)^3,x)","-\frac{\left(12375 x^{5}+49500 x^{4}+84225 x^{3}+78730 x^{2}+42860 x +12136\right) \left(-2 x +1\right)^{\frac{5}{2}}}{165}"," ",0,"-1/165*(12375*x^5+49500*x^4+84225*x^3+78730*x^2+42860*x+12136)*(-2*x+1)^(5/2)","A"
1885,1,30,46,0.004000," ","int((-2*x+1)^(3/2)*(3*x+2)*(5*x+3)^3,x)","-\frac{\left(433125 x^{4}+1420125 x^{3}+1899800 x^{2}+1295695 x +421301\right) \left(-2 x +1\right)^{\frac{5}{2}}}{15015}"," ",0,"-1/15015*(433125*x^4+1420125*x^3+1899800*x^2+1295695*x+421301)*(-2*x+1)^(5/2)","A"
1886,1,25,37,0.003000," ","int((-2*x+1)^(3/2)*(5*x+3)^3,x)","-\frac{\left(13125 x^{3}+33250 x^{2}+31775 x +12592\right) \left(-2 x +1\right)^{\frac{5}{2}}}{1155}"," ",0,"-1/1155*(13125*x^3+33250*x^2+31775*x+12592)*(-2*x+1)^(5/2)","A"
1887,1,65,64,0.009000," ","int((-2*x+1)^(3/2)*(5*x+3)^3/(3*x+2),x)","\frac{14 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{729}-\frac{2 \left(-2 x +1\right)^{\frac{3}{2}}}{243}-\frac{1027 \left(-2 x +1\right)^{\frac{5}{2}}}{108}+\frac{400 \left(-2 x +1\right)^{\frac{7}{2}}}{63}-\frac{125 \left(-2 x +1\right)^{\frac{9}{2}}}{108}-\frac{14 \sqrt{-2 x +1}}{243}"," ",0,"-2/243*(-2*x+1)^(3/2)-1027/108*(-2*x+1)^(5/2)+400/63*(-2*x+1)^(7/2)-125/108*(-2*x+1)^(9/2)+14/729*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)-14/243*(-2*x+1)^(1/2)","A"
1888,1,72,81,0.011000," ","int((-2*x+1)^(3/2)*(5*x+3)^3/(3*x+2)^2,x)","-\frac{8 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{27}+\frac{125 \left(-2 x +1\right)^{\frac{7}{2}}}{126}-\frac{145 \left(-2 x +1\right)^{\frac{5}{2}}}{54}+\frac{10 \left(-2 x +1\right)^{\frac{3}{2}}}{81}+\frac{214 \sqrt{-2 x +1}}{243}-\frac{14 \sqrt{-2 x +1}}{729 \left(-2 x -\frac{4}{3}\right)}"," ",0,"125/126*(-2*x+1)^(7/2)-145/54*(-2*x+1)^(5/2)+10/81*(-2*x+1)^(3/2)+214/243*(-2*x+1)^(1/2)-14/729*(-2*x+1)^(1/2)/(-2*x-4/3)-8/27*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1889,1,75,95,0.013000," ","int((-2*x+1)^(3/2)*(5*x+3)^3/(3*x+2)^3,x)","\frac{887 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{567}-\frac{25 \left(-2 x +1\right)^{\frac{5}{2}}}{27}-\frac{50 \left(-2 x +1\right)^{\frac{3}{2}}}{81}-\frac{370 \sqrt{-2 x +1}}{81}-\frac{2 \left(-\frac{215 \left(-2 x +1\right)^{\frac{3}{2}}}{18}+\frac{497 \sqrt{-2 x +1}}{18}\right)}{9 \left(-6 x -4\right)^{2}}"," ",0,"-25/27*(-2*x+1)^(5/2)-50/81*(-2*x+1)^(3/2)-370/81*(-2*x+1)^(1/2)-2/9*(-215/18*(-2*x+1)^(3/2)+497/18*(-2*x+1)^(1/2))/(-6*x-4)^2+887/567*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1890,1,75,102,0.011000," ","int((-2*x+1)^(3/2)*(5*x+3)^3/(3*x+2)^4,x)","-\frac{36038 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{11907}+\frac{250 \left(-2 x +1\right)^{\frac{3}{2}}}{243}+\frac{2050 \sqrt{-2 x +1}}{243}+\frac{-\frac{7876 \left(-2 x +1\right)^{\frac{5}{2}}}{189}+\frac{46612 \left(-2 x +1\right)^{\frac{3}{2}}}{243}-\frac{53648 \sqrt{-2 x +1}}{243}}{\left(-6 x -4\right)^{3}}"," ",0,"250/243*(-2*x+1)^(3/2)+2050/243*(-2*x+1)^(1/2)+2/9*(-3938/21*(-2*x+1)^(5/2)+23306/27*(-2*x+1)^(3/2)-26824/27*(-2*x+1)^(1/2))/(-6*x-4)^3-36038/11907*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1891,1,75,108,0.012000," ","int((-2*x+1)^(3/2)*(5*x+3)^3/(3*x+2)^5,x)","\frac{13243 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{12348}-\frac{500 \sqrt{-2 x +1}}{243}-\frac{4 \left(-\frac{416917 \left(-2 x +1\right)^{\frac{7}{2}}}{2352}+\frac{406463 \left(-2 x +1\right)^{\frac{5}{2}}}{336}-\frac{1189171 \left(-2 x +1\right)^{\frac{3}{2}}}{432}+\frac{2706781 \sqrt{-2 x +1}}{1296}\right)}{3 \left(-6 x -4\right)^{4}}"," ",0,"-500/243*(-2*x+1)^(1/2)-4/3*(-416917/2352*(-2*x+1)^(7/2)+406463/336*(-2*x+1)^(5/2)-1189171/432*(-2*x+1)^(3/2)+2706781/1296*(-2*x+1)^(1/2))/(-6*x-4)^4+13243/12348*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1892,1,75,109,0.014000," ","int((-2*x+1)^(3/2)*(5*x+3)^3/(3*x+2)^6,x)","-\frac{13892 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{194481}+\frac{-\frac{217972 \left(-2 x +1\right)^{\frac{9}{2}}}{1029}+\frac{36616 \left(-2 x +1\right)^{\frac{7}{2}}}{21}-\frac{1682344 \left(-2 x +1\right)^{\frac{5}{2}}}{315}+\frac{194488 \left(-2 x +1\right)^{\frac{3}{2}}}{27}-\frac{97244 \sqrt{-2 x +1}}{27}}{\left(-6 x -4\right)^{5}}"," ",0,"1944*(-54493/500094*(-2*x+1)^(9/2)+4577/5103*(-2*x+1)^(7/2)-210293/76545*(-2*x+1)^(5/2)+24311/6561*(-2*x+1)^(3/2)-24311/13122*(-2*x+1)^(1/2))/(-6*x-4)^5-13892/194481*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1893,1,84,125,0.014000," ","int((-2*x+1)^(3/2)*(5*x+3)^3/(3*x+2)^7,x)","-\frac{15313 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{4667544}-\frac{11664 \left(-\frac{15313 \left(-2 x +1\right)^{\frac{11}{2}}}{10668672}-\frac{3037 \left(-2 x +1\right)^{\frac{9}{2}}}{41150592}+\frac{256271 \left(-2 x +1\right)^{\frac{7}{2}}}{4898880}-\frac{923549 \left(-2 x +1\right)^{\frac{5}{2}}}{4898880}+\frac{1822247 \left(-2 x +1\right)^{\frac{3}{2}}}{7558272}-\frac{750337 \sqrt{-2 x +1}}{7558272}\right)}{\left(-6 x -4\right)^{6}}"," ",0,"-11664*(-15313/10668672*(-2*x+1)^(11/2)-3037/41150592*(-2*x+1)^(9/2)+256271/4898880*(-2*x+1)^(7/2)-923549/4898880*(-2*x+1)^(5/2)+1822247/7558272*(-2*x+1)^(3/2)-750337/7558272*(-2*x+1)^(1/2))/(-6*x-4)^6-15313/4667544*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1894,1,93,141,0.014000," ","int((-2*x+1)^(3/2)*(5*x+3)^3/(3*x+2)^8,x)","-\frac{4369 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{12706092}+\frac{\frac{353889 \left(-2 x +1\right)^{\frac{13}{2}}}{67228}-\frac{196605 \left(-2 x +1\right)^{\frac{11}{2}}}{2401}+\frac{5639843 \left(-2 x +1\right)^{\frac{9}{2}}}{20580}+\frac{172608 \left(-2 x +1\right)^{\frac{7}{2}}}{1715}-\frac{725323 \left(-2 x +1\right)^{\frac{5}{2}}}{420}+\frac{21845 \left(-2 x +1\right)^{\frac{3}{2}}}{9}-\frac{30583 \sqrt{-2 x +1}}{36}}{\left(-6 x -4\right)^{7}}"," ",0,"69984*(4369/58084992*(-2*x+1)^(13/2)-21845/18670176*(-2*x+1)^(11/2)+5639843/1440270720*(-2*x+1)^(9/2)+1798/1250235*(-2*x+1)^(7/2)-725323/29393280*(-2*x+1)^(5/2)+21845/629856*(-2*x+1)^(3/2)-30583/2519424*(-2*x+1)^(1/2))/(-6*x-4)^7-4369/12706092*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1895,1,92,91,0.008000," ","int((-2*x+1)^(3/2)*(3*x+2)^6/(5*x+3),x)","-\frac{22 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1953125}+\frac{2 \left(-2 x +1\right)^{\frac{3}{2}}}{234375}-\frac{167115051 \left(-2 x +1\right)^{\frac{5}{2}}}{2500000}+\frac{70752609 \left(-2 x +1\right)^{\frac{7}{2}}}{700000}-\frac{665817 \left(-2 x +1\right)^{\frac{9}{2}}}{10000}+\frac{507627 \left(-2 x +1\right)^{\frac{11}{2}}}{22000}-\frac{43011 \left(-2 x +1\right)^{\frac{13}{2}}}{10400}+\frac{243 \left(-2 x +1\right)^{\frac{15}{2}}}{800}+\frac{22 \sqrt{-2 x +1}}{390625}"," ",0,"2/234375*(-2*x+1)^(3/2)-167115051/2500000*(-2*x+1)^(5/2)+70752609/700000*(-2*x+1)^(7/2)-665817/10000*(-2*x+1)^(9/2)+507627/22000*(-2*x+1)^(11/2)-43011/10400*(-2*x+1)^(13/2)+243/800*(-2*x+1)^(15/2)-22/1953125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+22/390625*(-2*x+1)^(1/2)","A"
1896,1,83,82,0.009000," ","int((-2*x+1)^(3/2)*(3*x+2)^5/(5*x+3),x)","-\frac{22 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{390625}+\frac{2 \left(-2 x +1\right)^{\frac{3}{2}}}{46875}-\frac{4774713 \left(-2 x +1\right)^{\frac{5}{2}}}{250000}+\frac{806121 \left(-2 x +1\right)^{\frac{7}{2}}}{35000}-\frac{5673 \left(-2 x +1\right)^{\frac{9}{2}}}{500}+\frac{5751 \left(-2 x +1\right)^{\frac{11}{2}}}{2200}-\frac{243 \left(-2 x +1\right)^{\frac{13}{2}}}{1040}+\frac{22 \sqrt{-2 x +1}}{78125}"," ",0,"2/46875*(-2*x+1)^(3/2)-4774713/250000*(-2*x+1)^(5/2)+806121/35000*(-2*x+1)^(7/2)-5673/500*(-2*x+1)^(9/2)+5751/2200*(-2*x+1)^(11/2)-243/1040*(-2*x+1)^(13/2)-22/390625*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+22/78125*(-2*x+1)^(1/2)","A"
1897,1,74,73,0.009000," ","int((-2*x+1)^(3/2)*(3*x+2)^4/(5*x+3),x)","-\frac{22 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{78125}+\frac{2 \left(-2 x +1\right)^{\frac{3}{2}}}{9375}-\frac{136419 \left(-2 x +1\right)^{\frac{5}{2}}}{25000}+\frac{34371 \left(-2 x +1\right)^{\frac{7}{2}}}{7000}-\frac{321 \left(-2 x +1\right)^{\frac{9}{2}}}{200}+\frac{81 \left(-2 x +1\right)^{\frac{11}{2}}}{440}+\frac{22 \sqrt{-2 x +1}}{15625}"," ",0,"2/9375*(-2*x+1)^(3/2)-136419/25000*(-2*x+1)^(5/2)+34371/7000*(-2*x+1)^(7/2)-321/200*(-2*x+1)^(9/2)+81/440*(-2*x+1)^(11/2)-22/78125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+22/15625*(-2*x+1)^(1/2)","A"
1898,1,65,64,0.007000," ","int((-2*x+1)^(3/2)*(3*x+2)^3/(5*x+3),x)","-\frac{22 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{15625}+\frac{2 \left(-2 x +1\right)^{\frac{3}{2}}}{1875}-\frac{3897 \left(-2 x +1\right)^{\frac{5}{2}}}{2500}+\frac{162 \left(-2 x +1\right)^{\frac{7}{2}}}{175}-\frac{3 \left(-2 x +1\right)^{\frac{9}{2}}}{20}+\frac{22 \sqrt{-2 x +1}}{3125}"," ",0,"2/1875*(-2*x+1)^(3/2)-3897/2500*(-2*x+1)^(5/2)+162/175*(-2*x+1)^(7/2)-3/20*(-2*x+1)^(9/2)-22/15625*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+22/3125*(-2*x+1)^(1/2)","A"
1899,1,56,55,0.008000," ","int((-2*x+1)^(3/2)*(3*x+2)^2/(5*x+3),x)","-\frac{22 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{3125}+\frac{2 \left(-2 x +1\right)^{\frac{3}{2}}}{375}-\frac{111 \left(-2 x +1\right)^{\frac{5}{2}}}{250}+\frac{9 \left(-2 x +1\right)^{\frac{7}{2}}}{70}+\frac{22 \sqrt{-2 x +1}}{625}"," ",0,"2/375*(-2*x+1)^(3/2)-111/250*(-2*x+1)^(5/2)+9/70*(-2*x+1)^(7/2)-22/3125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+22/625*(-2*x+1)^(1/2)","A"
1900,1,47,46,0.006000," ","int((-2*x+1)^(3/2)*(3*x+2)/(5*x+3),x)","-\frac{22 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{625}+\frac{2 \left(-2 x +1\right)^{\frac{3}{2}}}{75}-\frac{3 \left(-2 x +1\right)^{\frac{5}{2}}}{25}+\frac{22 \sqrt{-2 x +1}}{125}"," ",0,"2/75*(-2*x+1)^(3/2)-3/25*(-2*x+1)^(5/2)-22/625*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+22/125*(-2*x+1)^(1/2)","A"
1901,1,38,37,0.006000," ","int((-2*x+1)^(3/2)/(5*x+3),x)","-\frac{22 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{125}+\frac{2 \left(-2 x +1\right)^{\frac{3}{2}}}{15}+\frac{22 \sqrt{-2 x +1}}{25}"," ",0,"2/15*(-2*x+1)^(3/2)-22/125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+22/25*(-2*x+1)^(1/2)","A"
1902,1,47,46,0.010000," ","int((-2*x+1)^(3/2)/(3*x+2)/(5*x+3),x)","\frac{14 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{9}-\frac{22 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{25}-\frac{4 \sqrt{-2 x +1}}{15}"," ",0,"-22/25*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+14/9*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)-4/15*(-2*x+1)^(1/2)","A"
1903,1,54,53,0.012000," ","int((-2*x+1)^(3/2)/(3*x+2)^2/(5*x+3),x)","\frac{64 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{9}-\frac{22 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{5}-\frac{14 \sqrt{-2 x +1}}{9 \left(-2 x -\frac{4}{3}\right)}"," ",0,"-22/5*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-14/9*(-2*x+1)^(1/2)/(-2*x-4/3)+64/9*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1904,1,66,69,0.013000," ","int((-2*x+1)^(3/2)/(3*x+2)^3/(5*x+3),x)","\frac{2243 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{63}-22 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)-\frac{18 \left(\frac{65 \left(-2 x +1\right)^{\frac{3}{2}}}{18}-\frac{469 \sqrt{-2 x +1}}{54}\right)}{\left(-6 x -4\right)^{2}}"," ",0,"-22*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-18*(65/18*(-2*x+1)^(3/2)-469/54*(-2*x+1)^(1/2))/(-6*x-4)^2+2243/63*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1905,1,75,85,0.011000," ","int((-2*x+1)^(3/2)/(3*x+2)^4/(5*x+3),x)","\frac{78506 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{441}-110 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)-\frac{54 \left(\frac{1138 \left(-2 x +1\right)^{\frac{5}{2}}}{63}-\frac{6926 \left(-2 x +1\right)^{\frac{3}{2}}}{81}+\frac{8204 \sqrt{-2 x +1}}{81}\right)}{\left(-6 x -4\right)^{3}}"," ",0,"-110*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-54*(1138/63*(-2*x+1)^(5/2)-6926/81*(-2*x+1)^(3/2)+8204/81*(-2*x+1)^(1/2))/(-6*x-4)^3+78506/441*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1906,1,84,101,0.014000," ","int((-2*x+1)^(3/2)/(3*x+2)^5/(5*x+3),x)","\frac{10990843 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{12348}-550 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)-\frac{162 \left(\frac{318643 \left(-2 x +1\right)^{\frac{7}{2}}}{3528}-\frac{2895233 \left(-2 x +1\right)^{\frac{5}{2}}}{4536}+\frac{2923727 \left(-2 x +1\right)^{\frac{3}{2}}}{1944}-\frac{2297099 \sqrt{-2 x +1}}{1944}\right)}{\left(-6 x -4\right)^{4}}"," ",0,"-550*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-162*(318643/3528*(-2*x+1)^(7/2)-2895233/4536*(-2*x+1)^(5/2)+2923727/1944*(-2*x+1)^(3/2)-2297099/1944*(-2*x+1)^(1/2))/(-6*x-4)^4+10990843/12348*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1907,1,93,117,0.015000," ","int((-2*x+1)^(3/2)/(3*x+2)^6/(5*x+3),x)","\frac{96169877 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{21609}-2750 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)-\frac{486 \left(\frac{2788127 \left(-2 x +1\right)^{\frac{9}{2}}}{6174}-\frac{2406977 \left(-2 x +1\right)^{\frac{7}{2}}}{567}+\frac{127289798 \left(-2 x +1\right)^{\frac{5}{2}}}{8505}-\frac{17098361 \left(-2 x +1\right)^{\frac{3}{2}}}{729}+\frac{20099611 \sqrt{-2 x +1}}{1458}\right)}{\left(-6 x -4\right)^{5}}"," ",0,"-2750*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-486*(2788127/6174*(-2*x+1)^(9/2)-2406977/567*(-2*x+1)^(7/2)+127289798/8505*(-2*x+1)^(5/2)-17098361/729*(-2*x+1)^(3/2)+20099611/1458*(-2*x+1)^(1/2))/(-6*x-4)^5+96169877/21609*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1908,1,90,113,0.013000," ","int((-2*x+1)^(3/2)*(3*x+2)^5/(5*x+3)^2,x)","-\frac{324 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{390625}+\frac{243 \left(-2 x +1\right)^{\frac{11}{2}}}{2200}-\frac{981 \left(-2 x +1\right)^{\frac{9}{2}}}{1000}+\frac{107109 \left(-2 x +1\right)^{\frac{7}{2}}}{35000}-\frac{434043 \left(-2 x +1\right)^{\frac{5}{2}}}{125000}+\frac{2 \left(-2 x +1\right)^{\frac{3}{2}}}{3125}+\frac{326 \sqrt{-2 x +1}}{78125}+\frac{22 \sqrt{-2 x +1}}{390625 \left(-2 x -\frac{6}{5}\right)}"," ",0,"243/2200*(-2*x+1)^(11/2)-981/1000*(-2*x+1)^(9/2)+107109/35000*(-2*x+1)^(7/2)-434043/125000*(-2*x+1)^(5/2)+2/3125*(-2*x+1)^(3/2)+326/78125*(-2*x+1)^(1/2)+22/390625*(-2*x+1)^(1/2)/(-2*x-6/5)-324/390625*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1909,1,81,97,0.010000," ","int((-2*x+1)^(3/2)*(3*x+2)^4/(5*x+3)^2,x)","-\frac{258 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{78125}-\frac{9 \left(-2 x +1\right)^{\frac{9}{2}}}{100}+\frac{999 \left(-2 x +1\right)^{\frac{7}{2}}}{1750}-\frac{12393 \left(-2 x +1\right)^{\frac{5}{2}}}{12500}+\frac{8 \left(-2 x +1\right)^{\frac{3}{2}}}{3125}+\frac{52 \sqrt{-2 x +1}}{3125}+\frac{22 \sqrt{-2 x +1}}{78125 \left(-2 x -\frac{6}{5}\right)}"," ",0,"-9/100*(-2*x+1)^(9/2)+999/1750*(-2*x+1)^(7/2)-12393/12500*(-2*x+1)^(5/2)+8/3125*(-2*x+1)^(3/2)+52/3125*(-2*x+1)^(1/2)+22/78125*(-2*x+1)^(1/2)/(-2*x-6/5)-258/78125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1910,1,72,81,0.011000," ","int((-2*x+1)^(3/2)*(3*x+2)^3/(5*x+3)^2,x)","-\frac{192 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{15625}+\frac{27 \left(-2 x +1\right)^{\frac{7}{2}}}{350}-\frac{351 \left(-2 x +1\right)^{\frac{5}{2}}}{1250}+\frac{6 \left(-2 x +1\right)^{\frac{3}{2}}}{625}+\frac{194 \sqrt{-2 x +1}}{3125}+\frac{22 \sqrt{-2 x +1}}{15625 \left(-2 x -\frac{6}{5}\right)}"," ",0,"27/350*(-2*x+1)^(7/2)-351/1250*(-2*x+1)^(5/2)+6/625*(-2*x+1)^(3/2)+194/3125*(-2*x+1)^(1/2)+22/15625*(-2*x+1)^(1/2)/(-2*x-6/5)-192/15625*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1911,1,63,62,0.011000," ","int((-2*x+1)^(3/2)*(3*x+2)^2/(5*x+3)^2,x)","-\frac{126 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{3125}-\frac{9 \left(-2 x +1\right)^{\frac{5}{2}}}{125}+\frac{4 \left(-2 x +1\right)^{\frac{3}{2}}}{125}+\frac{128 \sqrt{-2 x +1}}{625}+\frac{22 \sqrt{-2 x +1}}{3125 \left(-2 x -\frac{6}{5}\right)}"," ",0,"-9/125*(-2*x+1)^(5/2)+4/125*(-2*x+1)^(3/2)+128/625*(-2*x+1)^(1/2)+22/3125*(-2*x+1)^(1/2)/(-2*x-6/5)-126/3125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1912,1,54,53,0.012000," ","int((-2*x+1)^(3/2)*(3*x+2)/(5*x+3)^2,x)","-\frac{12 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{125}+\frac{2 \left(-2 x +1\right)^{\frac{3}{2}}}{25}+\frac{62 \sqrt{-2 x +1}}{125}+\frac{22 \sqrt{-2 x +1}}{625 \left(-2 x -\frac{6}{5}\right)}"," ",0,"2/25*(-2*x+1)^(3/2)+62/125*(-2*x+1)^(1/2)+22/625*(-2*x+1)^(1/2)/(-2*x-6/5)-12/125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1913,1,45,44,0.010000," ","int((-2*x+1)^(3/2)/(5*x+3)^2,x)","\frac{6 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{125}-\frac{4 \sqrt{-2 x +1}}{25}+\frac{22 \sqrt{-2 x +1}}{125 \left(-2 x -\frac{6}{5}\right)}"," ",0,"-4/25*(-2*x+1)^(1/2)+22/125*(-2*x+1)^(1/2)/(-2*x-6/5)+6/125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1914,1,54,53,0.012000," ","int((-2*x+1)^(3/2)/(3*x+2)/(5*x+3)^2,x)","-\frac{14 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{3}+\frac{72 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{25}+\frac{22 \sqrt{-2 x +1}}{25 \left(-2 x -\frac{6}{5}\right)}"," ",0,"22/25*(-2*x+1)^(1/2)/(-2*x-6/5)+72/25*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-14/3*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1915,1,70,76,0.013000," ","int((-2*x+1)^(3/2)/(3*x+2)^2/(5*x+3)^2,x)","-\frac{134 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{3}+\frac{138 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{5}+\frac{22 \sqrt{-2 x +1}}{5 \left(-2 x -\frac{6}{5}\right)}+\frac{14 \sqrt{-2 x +1}}{3 \left(-2 x -\frac{4}{3}\right)}"," ",0,"22/5*(-2*x+1)^(1/2)/(-2*x-6/5)+138/5*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+14/3*(-2*x+1)^(1/2)/(-2*x-4/3)-134/3*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1916,1,82,99,0.014000," ","int((-2*x+1)^(3/2)/(3*x+2)^3/(5*x+3)^2,x)","-\frac{2311 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{7}+204 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)+\frac{22 \sqrt{-2 x +1}}{-2 x -\frac{6}{5}}+\frac{405 \left(-2 x +1\right)^{\frac{3}{2}}-959 \sqrt{-2 x +1}}{\left(-6 x -4\right)^{2}}"," ",0,"22*(-2*x+1)^(1/2)/(-2*x-6/5)+204*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+18*(45/2*(-2*x+1)^(3/2)-959/18*(-2*x+1)^(1/2))/(-6*x-4)^2-2311/7*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1917,1,91,122,0.016000," ","int((-2*x+1)^(3/2)/(3*x+2)^4/(5*x+3)^2,x)","-\frac{321161 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{147}+1350 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)+\frac{110 \sqrt{-2 x +1}}{-2 x -\frac{6}{5}}+\frac{\frac{63009 \left(-2 x +1\right)^{\frac{5}{2}}}{7}-42412 \left(-2 x +1\right)^{\frac{3}{2}}+49973 \sqrt{-2 x +1}}{\left(-6 x -4\right)^{3}}"," ",0,"110*(-2*x+1)^(1/2)/(-2*x-6/5)+1350*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+108*(7001/84*(-2*x+1)^(5/2)-10603/27*(-2*x+1)^(3/2)+49973/108*(-2*x+1)^(1/2))/(-6*x-4)^3-321161/147*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1918,1,100,145,0.015000," ","int((-2*x+1)^(3/2)/(3*x+2)^5/(5*x+3)^2,x)","-\frac{55953383 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{4116}+8400 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)+\frac{550 \sqrt{-2 x +1}}{-2 x -\frac{6}{5}}+\frac{\frac{35067141 \left(-2 x +1\right)^{\frac{7}{2}}}{196}-\frac{35319999 \left(-2 x +1\right)^{\frac{5}{2}}}{28}+\frac{11859787 \left(-2 x +1\right)^{\frac{3}{2}}}{4}-\frac{9293319 \sqrt{-2 x +1}}{4}}{\left(-6 x -4\right)^{4}}"," ",0,"550*(-2*x+1)^(1/2)/(-2*x-6/5)+8400*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+162*(1298783/1176*(-2*x+1)^(7/2)-11773333/1512*(-2*x+1)^(5/2)+11859787/648*(-2*x+1)^(3/2)-344197/24*(-2*x+1)^(1/2))/(-6*x-4)^4-55953383/4116*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1919,1,84,111,0.012000," ","int((-2*x+1)^(3/2)*(3*x+2)^4/(5*x+3)^3,x)","-\frac{12279 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{859375}+\frac{81 \left(-2 x +1\right)^{\frac{7}{2}}}{1750}-\frac{1107 \left(-2 x +1\right)^{\frac{5}{2}}}{6250}+\frac{36 \left(-2 x +1\right)^{\frac{3}{2}}}{3125}+\frac{228 \sqrt{-2 x +1}}{3125}+\frac{\frac{259 \left(-2 x +1\right)^{\frac{3}{2}}}{3125}-\frac{2871 \sqrt{-2 x +1}}{15625}}{\left(-10 x -6\right)^{2}}"," ",0,"81/1750*(-2*x+1)^(7/2)-1107/6250*(-2*x+1)^(5/2)+36/3125*(-2*x+1)^(3/2)+228/3125*(-2*x+1)^(1/2)+4/125*(259/100*(-2*x+1)^(3/2)-2871/500*(-2*x+1)^(1/2))/(-10*x-6)^2-12279/859375*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1920,1,75,95,0.010000," ","int((-2*x+1)^(3/2)*(3*x+2)^3/(5*x+3)^3,x)","-\frac{5943 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{171875}-\frac{27 \left(-2 x +1\right)^{\frac{5}{2}}}{625}+\frac{18 \left(-2 x +1\right)^{\frac{3}{2}}}{625}+\frac{558 \sqrt{-2 x +1}}{3125}+\frac{\frac{193 \left(-2 x +1\right)^{\frac{3}{2}}}{625}-\frac{429 \sqrt{-2 x +1}}{625}}{\left(-10 x -6\right)^{2}}"," ",0,"-27/625*(-2*x+1)^(5/2)+18/625*(-2*x+1)^(3/2)+558/3125*(-2*x+1)^(1/2)+2/125*(193/10*(-2*x+1)^(3/2)-429/10*(-2*x+1)^(1/2))/(-10*x-6)^2-5943/171875*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1921,1,66,69,0.013000," ","int((-2*x+1)^(3/2)*(3*x+2)^2/(5*x+3)^3,x)","-\frac{357 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{6875}+\frac{6 \left(-2 x +1\right)^{\frac{3}{2}}}{125}+\frac{174 \sqrt{-2 x +1}}{625}+\frac{\frac{127 \left(-2 x +1\right)^{\frac{3}{2}}}{125}-\frac{1419 \sqrt{-2 x +1}}{625}}{\left(-10 x -6\right)^{2}}"," ",0,"6/125*(-2*x+1)^(3/2)+174/625*(-2*x+1)^(1/2)+2/25*(127/10*(-2*x+1)^(3/2)-1419/50*(-2*x+1)^(1/2))/(-10*x-6)^2-357/6875*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1922,1,57,60,0.011000," ","int((-2*x+1)^(3/2)*(3*x+2)/(5*x+3)^3,x)","\frac{39 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1375}-\frac{12 \sqrt{-2 x +1}}{125}-\frac{4 \left(-\frac{61 \left(-2 x +1\right)^{\frac{3}{2}}}{20}+\frac{693 \sqrt{-2 x +1}}{100}\right)}{5 \left(-10 x -6\right)^{2}}"," ",0,"-12/125*(-2*x+1)^(1/2)-4/5*(-61/20*(-2*x+1)^(3/2)+693/100*(-2*x+1)^(1/2))/(-10*x-6)^2+39/1375*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1923,1,48,51,0.009000," ","int((-2*x+1)^(3/2)/(5*x+3)^3,x)","-\frac{3 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1375}+\frac{-\left(-2 x +1\right)^{\frac{3}{2}}+\frac{33 \sqrt{-2 x +1}}{25}}{\left(-10 x -6\right)^{2}}"," ",0,"200*(-1/200*(-2*x+1)^(3/2)+33/5000*(-2*x+1)^(1/2))/(-10*x-6)^2-3/1375*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1924,1,66,69,0.013000," ","int((-2*x+1)^(3/2)/(3*x+2)/(5*x+3)^3,x)","14 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)-\frac{2379 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{275}+\frac{-71 \left(-2 x +1\right)^{\frac{3}{2}}+\frac{759 \sqrt{-2 x +1}}{5}}{\left(-10 x -6\right)^{2}}"," ",0,"50*(-71/50*(-2*x+1)^(3/2)+759/250*(-2*x+1)^(1/2))/(-10*x-6)^2-2379/275*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+14*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1925,1,82,92,0.013000," ","int((-2*x+1)^(3/2)/(3*x+2)^2/(5*x+3)^3,x)","204 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)-\frac{6933 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{55}+\frac{-685 \left(-2 x +1\right)^{\frac{3}{2}}+1485 \sqrt{-2 x +1}}{\left(-10 x -6\right)^{2}}-\frac{14 \sqrt{-2 x +1}}{-2 x -\frac{4}{3}}"," ",0,"50*(-137/10*(-2*x+1)^(3/2)+297/10*(-2*x+1)^(1/2))/(-10*x-6)^2-6933/55*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-14*(-2*x+1)^(1/2)/(-2*x-4/3)+204*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1926,1,94,115,0.016000," ","int((-2*x+1)^(3/2)/(3*x+2)^3/(5*x+3)^3,x)","\frac{14073 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{7}-\frac{13665 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{11}+\frac{-5075 \left(-2 x +1\right)^{\frac{3}{2}}+11055 \sqrt{-2 x +1}}{\left(-10 x -6\right)^{2}}-\frac{324 \left(\frac{205 \left(-2 x +1\right)^{\frac{3}{2}}}{36}-\frac{161 \sqrt{-2 x +1}}{12}\right)}{\left(-6 x -4\right)^{2}}"," ",0,"500*(-203/20*(-2*x+1)^(3/2)+2211/100*(-2*x+1)^(1/2))/(-10*x-6)^2-13665/11*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-324*(205/36*(-2*x+1)^(3/2)-161/12*(-2*x+1)^(1/2))/(-6*x-4)^2+14073/7*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1927,1,103,138,0.015000," ","int((-2*x+1)^(3/2)/(3*x+2)^4/(5*x+3)^3,x)","\frac{813716 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{49}-\frac{112875 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{11}+\frac{-33625 \left(-2 x +1\right)^{\frac{3}{2}}+73425 \sqrt{-2 x +1}}{\left(-10 x -6\right)^{2}}-\frac{324 \left(\frac{3544 \left(-2 x +1\right)^{\frac{5}{2}}}{21}-\frac{21418 \left(-2 x +1\right)^{\frac{3}{2}}}{27}+\frac{25172 \sqrt{-2 x +1}}{27}\right)}{\left(-6 x -4\right)^{3}}"," ",0,"2500*(-269/20*(-2*x+1)^(3/2)+2937/100*(-2*x+1)^(1/2))/(-10*x-6)^2-112875/11*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-324*(3544/21*(-2*x+1)^(5/2)-21418/27*(-2*x+1)^(3/2)+25172/27*(-2*x+1)^(1/2))/(-6*x-4)^3+813716/49*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1928,1,45,73,0.004000," ","int((-2*x+1)^(5/2)*(3*x+2)^6*(5*x+3),x)","-\frac{\left(505076715 x^{7}+2753997246 x^{6}+6628858236 x^{5}+9228315096 x^{4}+8157896208 x^{3}+4700947104 x^{2}+1706820416 x +323646080\right) \left(-2 x +1\right)^{\frac{7}{2}}}{2909907}"," ",0,"-1/2909907*(505076715*x^7+2753997246*x^6+6628858236*x^5+9228315096*x^4+8157896208*x^3+4700947104*x^2+1706820416*x+323646080)*(-2*x+1)^(7/2)","A"
1929,1,40,64,0.004000," ","int((-2*x+1)^(5/2)*(3*x+2)^5*(5*x+3),x)","-\frac{\left(26582985 x^{6}+126243117 x^{5}+259076961 x^{4}+298438668 x^{3}+208370124 x^{2}+86950792 x +18122584\right) \left(-2 x +1\right)^{\frac{7}{2}}}{415701}"," ",0,"-1/415701*(26582985*x^6+126243117*x^5+259076961*x^4+298438668*x^3+208370124*x^2+86950792*x+18122584)*(-2*x+1)^(7/2)","A"
1930,1,35,55,0.005000," ","int((-2*x+1)^(5/2)*(3*x+2)^4*(5*x+3),x)","-\frac{\left(2606175 x^{5}+10517364 x^{4}+17777232 x^{3}+16066296 x^{2}+8043328 x +1899184\right) \left(-2 x +1\right)^{\frac{7}{2}}}{109395}"," ",0,"-1/109395*(2606175*x^5+10517364*x^4+17777232*x^3+16066296*x^2+8043328*x+1899184)*(-2*x+1)^(7/2)","A"
1931,1,30,46,0.003000," ","int((-2*x+1)^(5/2)*(3*x+2)^3*(5*x+3),x)","-\frac{\left(11583 x^{4}+38313 x^{3}+50463 x^{2}+32378 x +9038\right) \left(-2 x +1\right)^{\frac{7}{2}}}{1287}"," ",0,"-1/1287*(11583*x^4+38313*x^3+50463*x^2+32378*x+9038)*(-2*x+1)^(7/2)","A"
1932,1,25,37,0.004000," ","int((-2*x+1)^(5/2)*(3*x+2)^2*(5*x+3),x)","-\frac{\left(4455 x^{3}+11394 x^{2}+10540 x +3712\right) \left(-2 x +1\right)^{\frac{7}{2}}}{1287}"," ",0,"-1/1287*(4455*x^3+11394*x^2+10540*x+3712)*(-2*x+1)^(7/2)","A"
1933,1,20,28,0.003000," ","int((-2*x+1)^(5/2)*(3*x+2)*(5*x+3),x)","-\frac{\left(135 x^{2}+239 x +119\right) \left(-2 x +1\right)^{\frac{7}{2}}}{99}"," ",0,"-1/99*(135*x^2+239*x+119)*(-2*x+1)^(7/2)","A"
1934,1,15,19,0.003000," ","int((-2*x+1)^(5/2)*(5*x+3),x)","-\frac{\left(35 x +32\right) \left(-2 x +1\right)^{\frac{7}{2}}}{63}"," ",0,"-1/63*(35*x+32)*(-2*x+1)^(7/2)","A"
1935,1,56,55,0.006000," ","int((-2*x+1)^(5/2)*(5*x+3)/(3*x+2),x)","\frac{98 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{243}-\frac{14 \left(-2 x +1\right)^{\frac{3}{2}}}{81}-\frac{2 \left(-2 x +1\right)^{\frac{5}{2}}}{45}-\frac{5 \left(-2 x +1\right)^{\frac{7}{2}}}{21}-\frac{98 \sqrt{-2 x +1}}{81}"," ",0,"-14/81*(-2*x+1)^(3/2)-2/45*(-2*x+1)^(5/2)-5/21*(-2*x+1)^(7/2)+98/243*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)-98/81*(-2*x+1)^(1/2)","A"
1936,1,63,62,0.011000," ","int((-2*x+1)^(5/2)*(5*x+3)/(3*x+2)^2,x)","-\frac{560 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{243}+\frac{2 \left(-2 x +1\right)^{\frac{5}{2}}}{9}+\frac{74 \left(-2 x +1\right)^{\frac{3}{2}}}{81}+\frac{182 \sqrt{-2 x +1}}{27}-\frac{98 \sqrt{-2 x +1}}{243 \left(-2 x -\frac{4}{3}\right)}"," ",0,"2/9*(-2*x+1)^(5/2)+74/81*(-2*x+1)^(3/2)+182/27*(-2*x+1)^(1/2)-98/243*(-2*x+1)^(1/2)/(-2*x-4/3)-560/243*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1937,1,66,69,0.011000," ","int((-2*x+1)^(5/2)*(5*x+3)/(3*x+2)^3,x)","\frac{365 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{243}-\frac{20 \left(-2 x +1\right)^{\frac{3}{2}}}{81}-\frac{32 \sqrt{-2 x +1}}{9}-\frac{28 \left(-\frac{79 \left(-2 x +1\right)^{\frac{3}{2}}}{36}+\frac{539 \sqrt{-2 x +1}}{108}\right)}{3 \left(-6 x -4\right)^{2}}"," ",0,"-20/81*(-2*x+1)^(3/2)-32/9*(-2*x+1)^(1/2)-28/3*(-79/36*(-2*x+1)^(3/2)+539/108*(-2*x+1)^(1/2))/(-6*x-4)^2+365/243*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1938,1,66,76,0.012000," ","int((-2*x+1)^(5/2)*(5*x+3)/(3*x+2)^4,x)","-\frac{530 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{1701}+\frac{40 \sqrt{-2 x +1}}{81}+\frac{-\frac{326 \left(-2 x +1\right)^{\frac{5}{2}}}{9}+\frac{12040 \left(-2 x +1\right)^{\frac{3}{2}}}{81}-\frac{12250 \sqrt{-2 x +1}}{81}}{\left(-6 x -4\right)^{3}}"," ",0,"40/81*(-2*x+1)^(1/2)+8/3*(-163/12*(-2*x+1)^(5/2)+1505/27*(-2*x+1)^(3/2)-6125/108*(-2*x+1)^(1/2))/(-6*x-4)^3-530/1701*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1939,1,66,83,0.011000," ","int((-2*x+1)^(5/2)*(5*x+3)/(3*x+2)^5,x)","\frac{695 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{47628}-\frac{1296 \left(-\frac{515 \left(-2 x +1\right)^{\frac{7}{2}}}{36288}+\frac{10147 \left(-2 x +1\right)^{\frac{5}{2}}}{139968}-\frac{53515 \left(-2 x +1\right)^{\frac{3}{2}}}{419904}+\frac{34055 \sqrt{-2 x +1}}{419904}\right)}{\left(-6 x -4\right)^{4}}"," ",0,"-1296*(-515/36288*(-2*x+1)^(7/2)+10147/139968*(-2*x+1)^(5/2)-53515/419904*(-2*x+1)^(3/2)+34055/419904*(-2*x+1)^(1/2))/(-6*x-4)^4+695/47628*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1940,1,75,99,0.011000," ","int((-2*x+1)^(5/2)*(5*x+3)/(3*x+2)^6,x)","\frac{43 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{83349}+\frac{-\frac{43 \left(-2 x +1\right)^{\frac{9}{2}}}{49}-\frac{74 \left(-2 x +1\right)^{\frac{7}{2}}}{9}+\frac{5504 \left(-2 x +1\right)^{\frac{5}{2}}}{135}-\frac{4214 \left(-2 x +1\right)^{\frac{3}{2}}}{81}+\frac{2107 \sqrt{-2 x +1}}{81}}{\left(-6 x -4\right)^{5}}"," ",0,"7776*(-43/381024*(-2*x+1)^(9/2)-37/34992*(-2*x+1)^(7/2)+172/32805*(-2*x+1)^(5/2)-2107/314928*(-2*x+1)^(3/2)+2107/629856*(-2*x+1)^(1/2))/(-6*x-4)^5+43/83349*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1941,1,84,115,0.013000," ","int((-2*x+1)^(5/2)*(5*x+3)/(3*x+2)^7,x)","\frac{205 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{4667544}-\frac{46656 \left(\frac{205 \left(-2 x +1\right)^{\frac{11}{2}}}{42674688}-\frac{3485 \left(-2 x +1\right)^{\frac{9}{2}}}{54867456}-\frac{439 \left(-2 x +1\right)^{\frac{7}{2}}}{3919104}+\frac{451 \left(-2 x +1\right)^{\frac{5}{2}}}{559872}-\frac{24395 \left(-2 x +1\right)^{\frac{3}{2}}}{30233088}+\frac{10045 \sqrt{-2 x +1}}{30233088}\right)}{\left(-6 x -4\right)^{6}}"," ",0,"-46656*(205/42674688*(-2*x+1)^(11/2)-3485/54867456*(-2*x+1)^(9/2)-439/3919104*(-2*x+1)^(7/2)+451/559872*(-2*x+1)^(5/2)-24395/30233088*(-2*x+1)^(3/2)+10045/30233088*(-2*x+1)^(1/2))/(-6*x-4)^6+205/4667544*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1942,1,40,64,0.003000," ","int((-2*x+1)^(5/2)*(3*x+2)^4*(5*x+3)^2,x)","-\frac{\left(221524875 x^{6}+1035520200 x^{5}+2092364703 x^{4}+2374399764 x^{3}+1634664492 x^{2}+673648856 x +138993368\right) \left(-2 x +1\right)^{\frac{7}{2}}}{2078505}"," ",0,"-1/2078505*(221524875*x^6+1035520200*x^5+2092364703*x^4+2374399764*x^3+1634664492*x^2+673648856*x+138993368)*(-2*x+1)^(7/2)","A"
1943,1,35,55,0.004000," ","int((-2*x+1)^(5/2)*(3*x+2)^3*(5*x+3)^2,x)","-\frac{\left(868725 x^{5}+3440151 x^{4}+5708637 x^{3}+5069475 x^{2}+2497634 x +581846\right) \left(-2 x +1\right)^{\frac{7}{2}}}{21879}"," ",0,"-1/21879*(868725*x^5+3440151*x^4+5708637*x^3+5069475*x^2+2497634*x+581846)*(-2*x+1)^(7/2)","A"
1944,1,30,46,0.005000," ","int((-2*x+1)^(5/2)*(3*x+2)^2*(5*x+3)^2,x)","-\frac{\left(19305 x^{4}+62370 x^{3}+80307 x^{2}+50450 x +13826\right) \left(-2 x +1\right)^{\frac{7}{2}}}{1287}"," ",0,"-1/1287*(19305*x^4+62370*x^3+80307*x^2+50450*x+13826)*(-2*x+1)^(7/2)","A"
1945,1,25,37,0.003000," ","int((-2*x+1)^(5/2)*(3*x+2)*(5*x+3)^2,x)","-\frac{\left(7425 x^{3}+18405 x^{2}+16531 x +5671\right) \left(-2 x +1\right)^{\frac{7}{2}}}{1287}"," ",0,"-1/1287*(7425*x^3+18405*x^2+16531*x+5671)*(-2*x+1)^(7/2)","A"
1946,1,20,28,0.002000," ","int((-2*x+1)^(5/2)*(5*x+3)^2,x)","-\frac{\left(1575 x^{2}+2660 x +1271\right) \left(-2 x +1\right)^{\frac{7}{2}}}{693}"," ",0,"-1/693*(1575*x^2+2660*x+1271)*(-2*x+1)^(7/2)","A"
1947,1,65,64,0.007000," ","int((-2*x+1)^(5/2)*(5*x+3)^2/(3*x+2),x)","-\frac{98 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{729}+\frac{14 \left(-2 x +1\right)^{\frac{3}{2}}}{243}+\frac{2 \left(-2 x +1\right)^{\frac{5}{2}}}{135}-\frac{155 \left(-2 x +1\right)^{\frac{7}{2}}}{126}+\frac{25 \left(-2 x +1\right)^{\frac{9}{2}}}{54}+\frac{98 \sqrt{-2 x +1}}{243}"," ",0,"14/243*(-2*x+1)^(3/2)+2/135*(-2*x+1)^(5/2)-155/126*(-2*x+1)^(7/2)+25/54*(-2*x+1)^(9/2)-98/729*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)+98/243*(-2*x+1)^(1/2)","A"
1948,1,72,71,0.011000," ","int((-2*x+1)^(5/2)*(5*x+3)^2/(3*x+2)^2,x)","\frac{350 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{243}-\frac{25 \left(-2 x +1\right)^{\frac{7}{2}}}{63}-\frac{4 \left(-2 x +1\right)^{\frac{5}{2}}}{27}-\frac{16 \left(-2 x +1\right)^{\frac{3}{2}}}{27}-\frac{1036 \sqrt{-2 x +1}}{243}+\frac{98 \sqrt{-2 x +1}}{729 \left(-2 x -\frac{4}{3}\right)}"," ",0,"-25/63*(-2*x+1)^(7/2)-4/27*(-2*x+1)^(5/2)-16/27*(-2*x+1)^(3/2)-1036/243*(-2*x+1)^(1/2)+98/729*(-2*x+1)^(1/2)/(-2*x-4/3)+350/243*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1949,1,75,78,0.011000," ","int((-2*x+1)^(5/2)*(5*x+3)^2/(3*x+2)^3,x)","-\frac{1055 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{243}+\frac{10 \left(-2 x +1\right)^{\frac{5}{2}}}{27}+\frac{130 \left(-2 x +1\right)^{\frac{3}{2}}}{81}+\frac{1006 \sqrt{-2 x +1}}{81}+\frac{-\frac{1043 \left(-2 x +1\right)^{\frac{3}{2}}}{81}+\frac{2401 \sqrt{-2 x +1}}{81}}{\left(-6 x -4\right)^{2}}"," ",0,"10/27*(-2*x+1)^(5/2)+130/81*(-2*x+1)^(3/2)+1006/81*(-2*x+1)^(1/2)+14/9*(-149/18*(-2*x+1)^(3/2)+343/18*(-2*x+1)^(1/2))/(-6*x-4)^2-1055/243*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1950,1,75,85,0.013000," ","int((-2*x+1)^(5/2)*(5*x+3)^2/(3*x+2)^4,x)","\frac{4435 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{1701}-\frac{100 \left(-2 x +1\right)^{\frac{3}{2}}}{243}-\frac{1480 \sqrt{-2 x +1}}{243}-\frac{4 \left(-\frac{3091 \left(-2 x +1\right)^{\frac{5}{2}}}{12}+\frac{31675 \left(-2 x +1\right)^{\frac{3}{2}}}{27}-\frac{144305 \sqrt{-2 x +1}}{108}\right)}{9 \left(-6 x -4\right)^{3}}"," ",0,"-100/243*(-2*x+1)^(3/2)-1480/243*(-2*x+1)^(1/2)-4/9*(-3091/12*(-2*x+1)^(5/2)+31675/27*(-2*x+1)^(3/2)-144305/108*(-2*x+1)^(1/2))/(-6*x-4)^3+4435/1701*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1951,1,75,92,0.015000," ","int((-2*x+1)^(5/2)*(5*x+3)^2/(3*x+2)^5,x)","-\frac{24965 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{47628}+\frac{200 \sqrt{-2 x +1}}{243}+\frac{-\frac{47185 \left(-2 x +1\right)^{\frac{7}{2}}}{252}+\frac{129289 \left(-2 x +1\right)^{\frac{5}{2}}}{108}-\frac{824705 \left(-2 x +1\right)^{\frac{3}{2}}}{324}+\frac{1749055 \sqrt{-2 x +1}}{972}}{\left(-6 x -4\right)^{4}}"," ",0,"200/243*(-2*x+1)^(1/2)+8/3*(-47185/672*(-2*x+1)^(7/2)+129289/288*(-2*x+1)^(5/2)-824705/864*(-2*x+1)^(3/2)+1749055/2592*(-2*x+1)^(1/2))/(-6*x-4)^4-24965/47628*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1952,1,75,99,0.013000," ","int((-2*x+1)^(5/2)*(5*x+3)^2/(3*x+2)^6,x)","\frac{8051 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{333396}-\frac{3888 \left(-\frac{54247 \left(-2 x +1\right)^{\frac{9}{2}}}{2286144}+\frac{12269 \left(-2 x +1\right)^{\frac{7}{2}}}{69984}-\frac{16102 \left(-2 x +1\right)^{\frac{5}{2}}}{32805}+\frac{394499 \left(-2 x +1\right)^{\frac{3}{2}}}{629856}-\frac{394499 \sqrt{-2 x +1}}{1259712}\right)}{\left(-6 x -4\right)^{5}}"," ",0,"-3888*(-54247/2286144*(-2*x+1)^(9/2)+12269/69984*(-2*x+1)^(7/2)-16102/32805*(-2*x+1)^(5/2)+394499/629856*(-2*x+1)^(3/2)-394499/1259712*(-2*x+1)^(1/2))/(-6*x-4)^5+8051/333396*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1953,1,84,115,0.014000," ","int((-2*x+1)^(5/2)*(5*x+3)^2/(3*x+2)^7,x)","\frac{1315 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{1555848}+\frac{-\frac{11835 \left(-2 x +1\right)^{\frac{11}{2}}}{2744}-\frac{112405 \left(-2 x +1\right)^{\frac{9}{2}}}{3528}+\frac{8345 \left(-2 x +1\right)^{\frac{7}{2}}}{28}-\frac{2893 \left(-2 x +1\right)^{\frac{5}{2}}}{4}+\frac{156485 \left(-2 x +1\right)^{\frac{3}{2}}}{216}-\frac{64435 \sqrt{-2 x +1}}{216}}{\left(-6 x -4\right)^{6}}"," ",0,"23328*(-1315/7112448*(-2*x+1)^(11/2)-112405/82301184*(-2*x+1)^(9/2)+8345/653184*(-2*x+1)^(7/2)-2893/93312*(-2*x+1)^(5/2)+156485/5038848*(-2*x+1)^(3/2)-64435/5038848*(-2*x+1)^(1/2))/(-6*x-4)^6+1315/1555848*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1954,1,93,131,0.015000," ","int((-2*x+1)^(5/2)*(5*x+3)^2/(3*x+2)^8,x)","\frac{2335 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{32672808}-\frac{139968 \left(\frac{2335 \left(-2 x +1\right)^{\frac{13}{2}}}{298722816}-\frac{11675 \left(-2 x +1\right)^{\frac{11}{2}}}{96018048}+\frac{6721 \left(-2 x +1\right)^{\frac{9}{2}}}{164602368}+\frac{571 \left(-2 x +1\right)^{\frac{7}{2}}}{321489}-\frac{132161 \left(-2 x +1\right)^{\frac{5}{2}}}{30233088}+\frac{81725 \left(-2 x +1\right)^{\frac{3}{2}}}{22674816}-\frac{114415 \sqrt{-2 x +1}}{90699264}\right)}{\left(-6 x -4\right)^{7}}"," ",0,"-139968*(2335/298722816*(-2*x+1)^(13/2)-11675/96018048*(-2*x+1)^(11/2)+6721/164602368*(-2*x+1)^(9/2)+571/321489*(-2*x+1)^(7/2)-132161/30233088*(-2*x+1)^(5/2)+81725/22674816*(-2*x+1)^(3/2)-114415/90699264*(-2*x+1)^(1/2))/(-6*x-4)^7+2335/32672808*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1955,1,45,73,0.005000," ","int((-2*x+1)^(5/2)*(3*x+2)^4*(5*x+3)^3,x)","-\frac{\left(212574375 x^{7}+1127763000 x^{6}+2642319225 x^{5}+3583371246 x^{4}+3089723448 x^{3}+1740153744 x^{2}+619493392 x +115708576\right) \left(-2 x +1\right)^{\frac{7}{2}}}{440895}"," ",0,"-1/440895*(212574375*x^7+1127763000*x^6+2642319225*x^5+3583371246*x^4+3089723448*x^3+1740153744*x^2+619493392*x+115708576)*(-2*x+1)^(7/2)","A"
1956,1,40,64,0.005000," ","int((-2*x+1)^(5/2)*(3*x+2)^3*(5*x+3)^3,x)","-\frac{\left(131625 x^{6}+605475 x^{5}+1204398 x^{4}+1346367 x^{3}+914049 x^{2}+372070 x +76018\right) \left(-2 x +1\right)^{\frac{7}{2}}}{741}"," ",0,"-1/741*(131625*x^6+605475*x^5+1204398*x^4+1346367*x^3+914049*x^2+372070*x+76018)*(-2*x+1)^(7/2)","A"
1957,1,35,55,0.004000," ","int((-2*x+1)^(5/2)*(3*x+2)^2*(5*x+3)^3,x)","-\frac{\left(14625 x^{5}+56810 x^{4}+92535 x^{3}+80748 x^{2}+39160 x +9004\right) \left(-2 x +1\right)^{\frac{7}{2}}}{221}"," ",0,"-1/221*(14625*x^5+56810*x^4+92535*x^3+80748*x^2+39160*x+9004)*(-2*x+1)^(7/2)","A"
1958,1,30,46,0.003000," ","int((-2*x+1)^(5/2)*(3*x+2)*(5*x+3)^3,x)","-\frac{\left(975 x^{4}+3075 x^{3}+3870 x^{2}+2381 x +641\right) \left(-2 x +1\right)^{\frac{7}{2}}}{39}"," ",0,"-1/39*(975*x^4+3075*x^3+3870*x^2+2381*x+641)*(-2*x+1)^(7/2)","A"
1959,1,25,37,0.002000," ","int((-2*x+1)^(5/2)*(5*x+3)^3,x)","-\frac{\left(2625 x^{3}+6300 x^{2}+5495 x +1838\right) \left(-2 x +1\right)^{\frac{7}{2}}}{273}"," ",0,"-1/273*(2625*x^3+6300*x^2+5495*x+1838)*(-2*x+1)^(7/2)","A"
1960,1,74,73,0.007000," ","int((-2*x+1)^(5/2)*(5*x+3)^3/(3*x+2),x)","\frac{98 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{2187}-\frac{14 \left(-2 x +1\right)^{\frac{3}{2}}}{729}-\frac{2 \left(-2 x +1\right)^{\frac{5}{2}}}{405}-\frac{5135 \left(-2 x +1\right)^{\frac{7}{2}}}{756}+\frac{400 \left(-2 x +1\right)^{\frac{9}{2}}}{81}-\frac{125 \left(-2 x +1\right)^{\frac{11}{2}}}{132}-\frac{98 \sqrt{-2 x +1}}{729}"," ",0,"-14/729*(-2*x+1)^(3/2)-2/405*(-2*x+1)^(5/2)-5135/756*(-2*x+1)^(7/2)+400/81*(-2*x+1)^(9/2)-125/132*(-2*x+1)^(11/2)+98/2187*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)-98/729*(-2*x+1)^(1/2)","A"
1961,1,81,90,0.011000," ","int((-2*x+1)^(5/2)*(5*x+3)^3/(3*x+2)^2,x)","-\frac{1540 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{2187}+\frac{125 \left(-2 x +1\right)^{\frac{9}{2}}}{162}-\frac{725 \left(-2 x +1\right)^{\frac{7}{2}}}{378}+\frac{2 \left(-2 x +1\right)^{\frac{5}{2}}}{27}+\frac{214 \left(-2 x +1\right)^{\frac{3}{2}}}{729}+\frac{1526 \sqrt{-2 x +1}}{729}-\frac{98 \sqrt{-2 x +1}}{2187 \left(-2 x -\frac{4}{3}\right)}"," ",0,"125/162*(-2*x+1)^(9/2)-725/378*(-2*x+1)^(7/2)+2/27*(-2*x+1)^(5/2)+214/729*(-2*x+1)^(3/2)+1526/729*(-2*x+1)^(1/2)-98/2187*(-2*x+1)^(1/2)/(-2*x-4/3)-1540/2187*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1962,1,84,104,0.013000," ","int((-2*x+1)^(5/2)*(5*x+3)^3/(3*x+2)^3,x)","\frac{935 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{243}-\frac{125 \left(-2 x +1\right)^{\frac{7}{2}}}{189}-\frac{10 \left(-2 x +1\right)^{\frac{5}{2}}}{27}-\frac{370 \left(-2 x +1\right)^{\frac{3}{2}}}{243}-\frac{8198 \sqrt{-2 x +1}}{729}-\frac{14 \left(-\frac{73 \left(-2 x +1\right)^{\frac{3}{2}}}{2}+\frac{1519 \sqrt{-2 x +1}}{18}\right)}{81 \left(-6 x -4\right)^{2}}"," ",0,"-125/189*(-2*x+1)^(7/2)-10/27*(-2*x+1)^(5/2)-370/243*(-2*x+1)^(3/2)-8198/729*(-2*x+1)^(1/2)-14/81*(-73/2*(-2*x+1)^(3/2)+1519/18*(-2*x+1)^(1/2))/(-6*x-4)^2+935/243*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1963,1,84,118,0.013000," ","int((-2*x+1)^(5/2)*(5*x+3)^3/(3*x+2)^4,x)","-\frac{41360 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{5103}+\frac{50 \left(-2 x +1\right)^{\frac{5}{2}}}{81}+\frac{2050 \left(-2 x +1\right)^{\frac{3}{2}}}{729}+\frac{16570 \sqrt{-2 x +1}}{729}+\frac{-\frac{8306 \left(-2 x +1\right)^{\frac{5}{2}}}{81}+\frac{344260 \left(-2 x +1\right)^{\frac{3}{2}}}{729}-\frac{396410 \sqrt{-2 x +1}}{729}}{\left(-6 x -4\right)^{3}}"," ",0,"50/81*(-2*x+1)^(5/2)+2050/729*(-2*x+1)^(3/2)+16570/729*(-2*x+1)^(1/2)+2/27*(-4153/3*(-2*x+1)^(5/2)+172130/27*(-2*x+1)^(3/2)-198205/27*(-2*x+1)^(1/2))/(-6*x-4)^3-41360/5103*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1964,1,84,125,0.014000," ","int((-2*x+1)^(5/2)*(5*x+3)^3/(3*x+2)^5,x)","\frac{645865 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{142884}-\frac{500 \left(-2 x +1\right)^{\frac{3}{2}}}{729}-\frac{7600 \sqrt{-2 x +1}}{729}-\frac{4 \left(-\frac{159975 \left(-2 x +1\right)^{\frac{7}{2}}}{112}+\frac{4220087 \left(-2 x +1\right)^{\frac{5}{2}}}{432}-\frac{28870415 \left(-2 x +1\right)^{\frac{3}{2}}}{1296}+\frac{21951755 \sqrt{-2 x +1}}{1296}\right)}{9 \left(-6 x -4\right)^{4}}"," ",0,"-500/729*(-2*x+1)^(3/2)-7600/729*(-2*x+1)^(1/2)-4/9*(-159975/112*(-2*x+1)^(7/2)+4220087/432*(-2*x+1)^(5/2)-28870415/1296*(-2*x+1)^(3/2)+21951755/1296*(-2*x+1)^(1/2))/(-6*x-4)^4+645865/142884*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1965,1,84,132,0.013000," ","int((-2*x+1)^(5/2)*(5*x+3)^3/(3*x+2)^6,x)","-\frac{146971 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{166698}+\frac{1000 \sqrt{-2 x +1}}{729}+\frac{-\frac{284287 \left(-2 x +1\right)^{\frac{9}{2}}}{294}+\frac{226727 \left(-2 x +1\right)^{\frac{7}{2}}}{27}-\frac{11068432 \left(-2 x +1\right)^{\frac{5}{2}}}{405}+\frac{9599737 \left(-2 x +1\right)^{\frac{3}{2}}}{243}-\frac{31200211 \sqrt{-2 x +1}}{1458}}{\left(-6 x -4\right)^{5}}"," ",0,"1000/729*(-2*x+1)^(1/2)+8/3*(-284287/784*(-2*x+1)^(9/2)+226727/72*(-2*x+1)^(7/2)-1383554/135*(-2*x+1)^(5/2)+9599737/648*(-2*x+1)^(3/2)-31200211/3888*(-2*x+1)^(1/2))/(-6*x-4)^5-146971/166698*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1966,1,84,129,0.013000," ","int((-2*x+1)^(5/2)*(5*x+3)^3/(3*x+2)^7,x)","\frac{559625 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{14002632}-\frac{11664 \left(-\frac{3809125 \left(-2 x +1\right)^{\frac{11}{2}}}{96018048}+\frac{47350325 \left(-2 x +1\right)^{\frac{9}{2}}}{123451776}-\frac{4383467 \left(-2 x +1\right)^{\frac{7}{2}}}{2939328}+\frac{1231175 \left(-2 x +1\right)^{\frac{5}{2}}}{419904}-\frac{66595375 \left(-2 x +1\right)^{\frac{3}{2}}}{22674816}+\frac{27421625 \sqrt{-2 x +1}}{22674816}\right)}{\left(-6 x -4\right)^{6}}"," ",0,"-11664*(-3809125/96018048*(-2*x+1)^(11/2)+47350325/123451776*(-2*x+1)^(9/2)-4383467/2939328*(-2*x+1)^(7/2)+1231175/419904*(-2*x+1)^(5/2)-66595375/22674816*(-2*x+1)^(3/2)+27421625/22674816*(-2*x+1)^(1/2))/(-6*x-4)^6+559625/14002632*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1967,1,93,148,0.014000," ","int((-2*x+1)^(5/2)*(5*x+3)^3/(3*x+2)^8,x)","\frac{33935 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{24504606}+\frac{-\frac{101805 \left(-2 x +1\right)^{\frac{13}{2}}}{4802}-\frac{353950 \left(-2 x +1\right)^{\frac{11}{2}}}{3087}+\frac{4931597 \left(-2 x +1\right)^{\frac{9}{2}}}{2646}-\frac{3091616 \left(-2 x +1\right)^{\frac{7}{2}}}{441}+\frac{1920721 \left(-2 x +1\right)^{\frac{5}{2}}}{162}-\frac{2375450 \left(-2 x +1\right)^{\frac{3}{2}}}{243}+\frac{1662815 \sqrt{-2 x +1}}{486}}{\left(-6 x -4\right)^{7}}"," ",0,"69984*(-33935/112021056*(-2*x+1)^(13/2)-176975/108020304*(-2*x+1)^(11/2)+4931597/185177664*(-2*x+1)^(9/2)-96613/964467*(-2*x+1)^(7/2)+1920721/11337408*(-2*x+1)^(5/2)-1187725/8503056*(-2*x+1)^(3/2)+1662815/34012224*(-2*x+1)^(1/2))/(-6*x-4)^7+33935/24504606*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1968,1,83,82,0.009000," ","int((-2*x+1)^(5/2)*(3*x+2)^4/(5*x+3),x)","-\frac{242 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{390625}+\frac{22 \left(-2 x +1\right)^{\frac{3}{2}}}{46875}+\frac{2 \left(-2 x +1\right)^{\frac{5}{2}}}{15625}-\frac{136419 \left(-2 x +1\right)^{\frac{7}{2}}}{35000}+\frac{3819 \left(-2 x +1\right)^{\frac{9}{2}}}{1000}-\frac{2889 \left(-2 x +1\right)^{\frac{11}{2}}}{2200}+\frac{81 \left(-2 x +1\right)^{\frac{13}{2}}}{520}+\frac{242 \sqrt{-2 x +1}}{78125}"," ",0,"22/46875*(-2*x+1)^(3/2)+2/15625*(-2*x+1)^(5/2)-136419/35000*(-2*x+1)^(7/2)+3819/1000*(-2*x+1)^(9/2)-2889/2200*(-2*x+1)^(11/2)+81/520*(-2*x+1)^(13/2)-242/390625*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+242/78125*(-2*x+1)^(1/2)","A"
1969,1,74,73,0.008000," ","int((-2*x+1)^(5/2)*(3*x+2)^3/(5*x+3),x)","-\frac{242 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{78125}+\frac{22 \left(-2 x +1\right)^{\frac{3}{2}}}{9375}+\frac{2 \left(-2 x +1\right)^{\frac{5}{2}}}{3125}-\frac{3897 \left(-2 x +1\right)^{\frac{7}{2}}}{3500}+\frac{18 \left(-2 x +1\right)^{\frac{9}{2}}}{25}-\frac{27 \left(-2 x +1\right)^{\frac{11}{2}}}{220}+\frac{242 \sqrt{-2 x +1}}{15625}"," ",0,"22/9375*(-2*x+1)^(3/2)+2/3125*(-2*x+1)^(5/2)-3897/3500*(-2*x+1)^(7/2)+18/25*(-2*x+1)^(9/2)-27/220*(-2*x+1)^(11/2)-242/78125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+242/15625*(-2*x+1)^(1/2)","A"
1970,1,65,64,0.007000," ","int((-2*x+1)^(5/2)*(3*x+2)^2/(5*x+3),x)","-\frac{242 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{15625}+\frac{22 \left(-2 x +1\right)^{\frac{3}{2}}}{1875}+\frac{2 \left(-2 x +1\right)^{\frac{5}{2}}}{625}-\frac{111 \left(-2 x +1\right)^{\frac{7}{2}}}{350}+\frac{\left(-2 x +1\right)^{\frac{9}{2}}}{10}+\frac{242 \sqrt{-2 x +1}}{3125}"," ",0,"22/1875*(-2*x+1)^(3/2)+2/625*(-2*x+1)^(5/2)-111/350*(-2*x+1)^(7/2)+1/10*(-2*x+1)^(9/2)-242/15625*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+242/3125*(-2*x+1)^(1/2)","A"
1971,1,56,55,0.006000," ","int((-2*x+1)^(5/2)*(3*x+2)/(5*x+3),x)","-\frac{242 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{3125}+\frac{22 \left(-2 x +1\right)^{\frac{3}{2}}}{375}+\frac{2 \left(-2 x +1\right)^{\frac{5}{2}}}{125}-\frac{3 \left(-2 x +1\right)^{\frac{7}{2}}}{35}+\frac{242 \sqrt{-2 x +1}}{625}"," ",0,"22/375*(-2*x+1)^(3/2)+2/125*(-2*x+1)^(5/2)-3/35*(-2*x+1)^(7/2)-242/3125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+242/625*(-2*x+1)^(1/2)","A"
1972,1,47,46,0.005000," ","int((-2*x+1)^(5/2)/(5*x+3),x)","-\frac{242 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{625}+\frac{22 \left(-2 x +1\right)^{\frac{3}{2}}}{75}+\frac{2 \left(-2 x +1\right)^{\frac{5}{2}}}{25}+\frac{242 \sqrt{-2 x +1}}{125}"," ",0,"22/75*(-2*x+1)^(3/2)+2/25*(-2*x+1)^(5/2)-242/625*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+242/125*(-2*x+1)^(1/2)","A"
1973,1,56,55,0.011000," ","int((-2*x+1)^(5/2)/(3*x+2)/(5*x+3),x)","\frac{98 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{27}-\frac{242 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{125}-\frac{4 \left(-2 x +1\right)^{\frac{3}{2}}}{45}-\frac{272 \sqrt{-2 x +1}}{225}"," ",0,"-4/45*(-2*x+1)^(3/2)-242/125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+98/27*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)-272/225*(-2*x+1)^(1/2)","A"
1974,1,63,62,0.014000," ","int((-2*x+1)^(5/2)/(3*x+2)^2/(5*x+3),x)","\frac{140 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{9}-\frac{242 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{25}+\frac{8 \sqrt{-2 x +1}}{45}-\frac{98 \sqrt{-2 x +1}}{27 \left(-2 x -\frac{4}{3}\right)}"," ",0,"8/45*(-2*x+1)^(1/2)-242/25*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-98/27*(-2*x+1)^(1/2)/(-2*x-4/3)+140/9*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1975,1,66,69,0.012000," ","int((-2*x+1)^(5/2)/(3*x+2)^3/(5*x+3),x)","\frac{235 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{3}-\frac{242 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{5}-\frac{126 \left(\frac{61 \left(-2 x +1\right)^{\frac{3}{2}}}{54}-\frac{49 \sqrt{-2 x +1}}{18}\right)}{\left(-6 x -4\right)^{2}}"," ",0,"-242/5*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-126*(61/54*(-2*x+1)^(3/2)-49/18*(-2*x+1)^(1/2))/(-6*x-4)^2+235/3*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1976,1,75,85,0.011000," ","int((-2*x+1)^(5/2)/(3*x+2)^4/(5*x+3),x)","\frac{74020 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{189}-242 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)-\frac{54 \left(\frac{1073 \left(-2 x +1\right)^{\frac{5}{2}}}{27}-\frac{45710 \left(-2 x +1\right)^{\frac{3}{2}}}{243}+\frac{54145 \sqrt{-2 x +1}}{243}\right)}{\left(-6 x -4\right)^{3}}"," ",0,"-242*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-54*(1073/27*(-2*x+1)^(5/2)-45710/243*(-2*x+1)^(3/2)+54145/243*(-2*x+1)^(1/2))/(-6*x-4)^3+74020/189*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1977,1,84,101,0.013000," ","int((-2*x+1)^(5/2)/(3*x+2)^5/(5*x+3),x)","\frac{3454265 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{1764}-1210 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)-\frac{162 \left(\frac{100145 \left(-2 x +1\right)^{\frac{7}{2}}}{504}-\frac{909931 \left(-2 x +1\right)^{\frac{5}{2}}}{648}+\frac{2144065 \left(-2 x +1\right)^{\frac{3}{2}}}{648}-\frac{5053615 \sqrt{-2 x +1}}{1944}\right)}{\left(-6 x -4\right)^{4}}"," ",0,"-1210*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-162*(100145/504*(-2*x+1)^(7/2)-909931/648*(-2*x+1)^(5/2)+2144065/648*(-2*x+1)^(3/2)-5053615/1944*(-2*x+1)^(1/2))/(-6*x-4)^4+3454265/1764*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1978,1,93,117,0.013000," ","int((-2*x+1)^(5/2)/(3*x+2)^6/(5*x+3),x)","\frac{20149879 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{2058}-6050 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)-\frac{486 \left(\frac{584179 \left(-2 x +1\right)^{\frac{9}{2}}}{588}-\frac{504319 \left(-2 x +1\right)^{\frac{7}{2}}}{54}+\frac{13335122 \left(-2 x +1\right)^{\frac{5}{2}}}{405}-\frac{75232787 \left(-2 x +1\right)^{\frac{3}{2}}}{1458}+\frac{29479429 \sqrt{-2 x +1}}{972}\right)}{\left(-6 x -4\right)^{5}}"," ",0,"-6050*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-486*(584179/588*(-2*x+1)^(9/2)-504319/54*(-2*x+1)^(7/2)+13335122/405*(-2*x+1)^(5/2)-75232787/1458*(-2*x+1)^(3/2)+29479429/972*(-2*x+1)^(1/2))/(-6*x-4)^5+20149879/2058*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1979,1,102,133,0.014000," ","int((-2*x+1)^(5/2)/(3*x+2)^7/(5*x+3),x)","\frac{25388847535 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{518616}-30250 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)-\frac{1458 \left(\frac{736065535 \left(-2 x +1\right)^{\frac{11}{2}}}{148176}-\frac{11104383695 \left(-2 x +1\right)^{\frac{9}{2}}}{190512}+\frac{1240999441 \left(-2 x +1\right)^{\frac{7}{2}}}{4536}-\frac{3744956269 \left(-2 x +1\right)^{\frac{5}{2}}}{5832}+\frac{79114433335 \left(-2 x +1\right)^{\frac{3}{2}}}{104976}-\frac{37144080785 \sqrt{-2 x +1}}{104976}\right)}{\left(-6 x -4\right)^{6}}"," ",0,"-30250*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-1458*(736065535/148176*(-2*x+1)^(11/2)-11104383695/190512*(-2*x+1)^(9/2)+1240999441/4536*(-2*x+1)^(7/2)-3744956269/5832*(-2*x+1)^(5/2)+79114433335/104976*(-2*x+1)^(3/2)-37144080785/104976*(-2*x+1)^(1/2))/(-6*x-4)^6+25388847535/518616*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1980,1,90,106,0.011000," ","int((-2*x+1)^(5/2)*(3*x+2)^4/(5*x+3)^2,x)","-\frac{2794 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{390625}-\frac{81 \left(-2 x +1\right)^{\frac{11}{2}}}{1100}+\frac{111 \left(-2 x +1\right)^{\frac{9}{2}}}{250}-\frac{12393 \left(-2 x +1\right)^{\frac{7}{2}}}{17500}+\frac{24 \left(-2 x +1\right)^{\frac{5}{2}}}{15625}+\frac{52 \left(-2 x +1\right)^{\frac{3}{2}}}{9375}+\frac{2816 \sqrt{-2 x +1}}{78125}+\frac{242 \sqrt{-2 x +1}}{390625 \left(-2 x -\frac{6}{5}\right)}"," ",0,"-81/1100*(-2*x+1)^(11/2)+111/250*(-2*x+1)^(9/2)-12393/17500*(-2*x+1)^(7/2)+24/15625*(-2*x+1)^(5/2)+52/9375*(-2*x+1)^(3/2)+2816/78125*(-2*x+1)^(1/2)+242/390625*(-2*x+1)^(1/2)/(-2*x-6/5)-2794/390625*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1981,1,81,90,0.012000," ","int((-2*x+1)^(5/2)*(3*x+2)^3/(5*x+3)^2,x)","-\frac{2068 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{78125}+\frac{3 \left(-2 x +1\right)^{\frac{9}{2}}}{50}-\frac{351 \left(-2 x +1\right)^{\frac{7}{2}}}{1750}+\frac{18 \left(-2 x +1\right)^{\frac{5}{2}}}{3125}+\frac{194 \left(-2 x +1\right)^{\frac{3}{2}}}{9375}+\frac{418 \sqrt{-2 x +1}}{3125}+\frac{242 \sqrt{-2 x +1}}{78125 \left(-2 x -\frac{6}{5}\right)}"," ",0,"3/50*(-2*x+1)^(9/2)-351/1750*(-2*x+1)^(7/2)+18/3125*(-2*x+1)^(5/2)+194/9375*(-2*x+1)^(3/2)+418/3125*(-2*x+1)^(1/2)+242/78125*(-2*x+1)^(1/2)/(-2*x-6/5)-2068/78125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1982,1,72,71,0.012000," ","int((-2*x+1)^(5/2)*(3*x+2)^2/(5*x+3)^2,x)","-\frac{1342 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{15625}-\frac{9 \left(-2 x +1\right)^{\frac{7}{2}}}{175}+\frac{12 \left(-2 x +1\right)^{\frac{5}{2}}}{625}+\frac{128 \left(-2 x +1\right)^{\frac{3}{2}}}{1875}+\frac{1364 \sqrt{-2 x +1}}{3125}+\frac{242 \sqrt{-2 x +1}}{15625 \left(-2 x -\frac{6}{5}\right)}"," ",0,"-9/175*(-2*x+1)^(7/2)+12/625*(-2*x+1)^(5/2)+128/1875*(-2*x+1)^(3/2)+1364/3125*(-2*x+1)^(1/2)+242/15625*(-2*x+1)^(1/2)/(-2*x-6/5)-1342/15625*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1983,1,63,62,0.011000," ","int((-2*x+1)^(5/2)*(3*x+2)/(5*x+3)^2,x)","-\frac{616 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{3125}+\frac{6 \left(-2 x +1\right)^{\frac{5}{2}}}{125}+\frac{62 \left(-2 x +1\right)^{\frac{3}{2}}}{375}+\frac{638 \sqrt{-2 x +1}}{625}+\frac{242 \sqrt{-2 x +1}}{3125 \left(-2 x -\frac{6}{5}\right)}"," ",0,"6/125*(-2*x+1)^(5/2)+62/375*(-2*x+1)^(3/2)+638/625*(-2*x+1)^(1/2)+242/3125*(-2*x+1)^(1/2)/(-2*x-6/5)-616/3125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1984,1,54,53,0.010000," ","int((-2*x+1)^(5/2)/(5*x+3)^2,x)","\frac{22 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{125}-\frac{4 \left(-2 x +1\right)^{\frac{3}{2}}}{75}-\frac{88 \sqrt{-2 x +1}}{125}+\frac{242 \sqrt{-2 x +1}}{625 \left(-2 x -\frac{6}{5}\right)}"," ",0,"-4/75*(-2*x+1)^(3/2)-88/125*(-2*x+1)^(1/2)+242/625*(-2*x+1)^(1/2)/(-2*x-6/5)+22/125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1985,1,63,62,0.012000," ","int((-2*x+1)^(5/2)/(3*x+2)/(5*x+3)^2,x)","-\frac{98 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{9}+\frac{836 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{125}+\frac{8 \sqrt{-2 x +1}}{75}+\frac{242 \sqrt{-2 x +1}}{125 \left(-2 x -\frac{6}{5}\right)}"," ",0,"8/75*(-2*x+1)^(1/2)+242/125*(-2*x+1)^(1/2)/(-2*x-6/5)+836/125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-98/9*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1986,1,70,76,0.015000," ","int((-2*x+1)^(5/2)/(3*x+2)^2/(5*x+3)^2,x)","-\frac{910 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{9}+\frac{1562 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{25}+\frac{242 \sqrt{-2 x +1}}{25 \left(-2 x -\frac{6}{5}\right)}+\frac{98 \sqrt{-2 x +1}}{9 \left(-2 x -\frac{4}{3}\right)}"," ",0,"242/25*(-2*x+1)^(1/2)/(-2*x-6/5)+1562/25*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+98/9*(-2*x+1)^(1/2)/(-2*x-4/3)-910/9*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1987,1,82,99,0.014000," ","int((-2*x+1)^(5/2)/(3*x+2)^3/(5*x+3)^2,x)","-\frac{6665 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{9}+\frac{2288 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{5}+\frac{242 \sqrt{-2 x +1}}{5 \left(-2 x -\frac{6}{5}\right)}+\frac{917 \left(-2 x +1\right)^{\frac{3}{2}}-\frac{6517 \sqrt{-2 x +1}}{3}}{\left(-6 x -4\right)^{2}}"," ",0,"242/5*(-2*x+1)^(1/2)/(-2*x-6/5)+2288/5*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+126*(131/18*(-2*x+1)^(3/2)-931/54*(-2*x+1)^(1/2))/(-6*x-4)^2-6665/9*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1988,1,91,122,0.014000," ","int((-2*x+1)^(5/2)/(3*x+2)^4/(5*x+3)^2,x)","-\frac{307295 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{63}+3014 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)+\frac{242 \sqrt{-2 x +1}}{-2 x -\frac{6}{5}}+\frac{20193 \left(-2 x +1\right)^{\frac{5}{2}}-\frac{285460 \left(-2 x +1\right)^{\frac{3}{2}}}{3}+\frac{336385 \sqrt{-2 x +1}}{3}}{\left(-6 x -4\right)^{3}}"," ",0,"242*(-2*x+1)^(1/2)/(-2*x-6/5)+3014*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+108*(6731/36*(-2*x+1)^(5/2)-71365/81*(-2*x+1)^(3/2)+336385/324*(-2*x+1)^(1/2))/(-6*x-4)^3-307295/63*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1989,1,100,145,0.017000," ","int((-2*x+1)^(5/2)/(3*x+2)^5/(5*x+3)^2,x)","-\frac{53384095 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{1764}+18700 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)+\frac{1210 \sqrt{-2 x +1}}{-2 x -\frac{6}{5}}+\frac{\frac{11184975 \left(-2 x +1\right)^{\frac{7}{2}}}{28}-\frac{11266013 \left(-2 x +1\right)^{\frac{5}{2}}}{4}+\frac{79444085 \left(-2 x +1\right)^{\frac{3}{2}}}{12}-\frac{62254745 \sqrt{-2 x +1}}{12}}{\left(-6 x -4\right)^{4}}"," ",0,"1210*(-2*x+1)^(1/2)/(-2*x-6/5)+18700*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+162*(1242775/504*(-2*x+1)^(7/2)-11266013/648*(-2*x+1)^(5/2)+79444085/1944*(-2*x+1)^(3/2)-62254745/1944*(-2*x+1)^(1/2))/(-6*x-4)^4-53384095/1764*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1990,1,109,168,0.017000," ","int((-2*x+1)^(5/2)/(3*x+2)^6/(5*x+3)^2,x)","-\frac{2231141147 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{12348}+111650 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)+\frac{6050 \sqrt{-2 x +1}}{-2 x -\frac{6}{5}}+\frac{\frac{1458333369 \left(-2 x +1\right)^{\frac{9}{2}}}{196}-\frac{139690761 \left(-2 x +1\right)^{\frac{7}{2}}}{2}+\frac{1229445796 \left(-2 x +1\right)^{\frac{5}{2}}}{5}-\frac{2308578797 \left(-2 x +1\right)^{\frac{3}{2}}}{6}+\frac{2709545797 \sqrt{-2 x +1}}{12}}{\left(-6 x -4\right)^{5}}"," ",0,"6050*(-2*x+1)^(1/2)/(-2*x-6/5)+111650*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+972*(54012347/7056*(-2*x+1)^(9/2)-46563587/648*(-2*x+1)^(7/2)+307361449/1215*(-2*x+1)^(5/2)-2308578797/5832*(-2*x+1)^(3/2)+2709545797/11664*(-2*x+1)^(1/2))/(-6*x-4)^5-2231141147/12348*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1991,1,93,120,0.013000," ","int((-2*x+1)^(5/2)*(3*x+2)^4/(5*x+3)^3,x)","-\frac{11763 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{390625}+\frac{9 \left(-2 x +1\right)^{\frac{9}{2}}}{250}-\frac{1107 \left(-2 x +1\right)^{\frac{7}{2}}}{8750}+\frac{108 \left(-2 x +1\right)^{\frac{5}{2}}}{15625}+\frac{76 \left(-2 x +1\right)^{\frac{3}{2}}}{3125}+\frac{2404 \sqrt{-2 x +1}}{15625}+\frac{\frac{561 \left(-2 x +1\right)^{\frac{3}{2}}}{3125}-\frac{31097 \sqrt{-2 x +1}}{78125}}{\left(-10 x -6\right)^{2}}"," ",0,"9/250*(-2*x+1)^(9/2)-1107/8750*(-2*x+1)^(7/2)+108/15625*(-2*x+1)^(5/2)+76/3125*(-2*x+1)^(3/2)+2404/15625*(-2*x+1)^(1/2)+44/625*(51/20*(-2*x+1)^(3/2)-2827/500*(-2*x+1)^(1/2))/(-10*x-6)^2-11763/390625*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1992,1,84,104,0.013000," ","int((-2*x+1)^(5/2)*(3*x+2)^3/(5*x+3)^3,x)","-\frac{5559 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{78125}-\frac{27 \left(-2 x +1\right)^{\frac{7}{2}}}{875}+\frac{54 \left(-2 x +1\right)^{\frac{5}{2}}}{3125}+\frac{186 \left(-2 x +1\right)^{\frac{3}{2}}}{3125}+\frac{46 \sqrt{-2 x +1}}{125}+\frac{\frac{2079 \left(-2 x +1\right)^{\frac{3}{2}}}{3125}-\frac{23111 \sqrt{-2 x +1}}{15625}}{\left(-10 x -6\right)^{2}}"," ",0,"-27/875*(-2*x+1)^(7/2)+54/3125*(-2*x+1)^(5/2)+186/3125*(-2*x+1)^(3/2)+46/125*(-2*x+1)^(1/2)+22/125*(189/50*(-2*x+1)^(3/2)-2101/250*(-2*x+1)^(1/2))/(-10*x-6)^2-5559/78125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1993,1,75,78,0.010000," ","int((-2*x+1)^(5/2)*(3*x+2)^2/(5*x+3)^3,x)","-\frac{1533 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{15625}+\frac{18 \left(-2 x +1\right)^{\frac{5}{2}}}{625}+\frac{58 \left(-2 x +1\right)^{\frac{3}{2}}}{625}+\frac{1658 \sqrt{-2 x +1}}{3125}+\frac{\frac{1353 \left(-2 x +1\right)^{\frac{3}{2}}}{625}-\frac{121 \sqrt{-2 x +1}}{25}}{\left(-10 x -6\right)^{2}}"," ",0,"18/625*(-2*x+1)^(5/2)+58/625*(-2*x+1)^(3/2)+1658/3125*(-2*x+1)^(1/2)+22/125*(123/10*(-2*x+1)^(3/2)-55/2*(-2*x+1)^(1/2))/(-10*x-6)^2-1533/15625*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1994,1,66,69,0.010000," ","int((-2*x+1)^(5/2)*(3*x+2)/(5*x+3)^3,x)","\frac{63 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{625}-\frac{4 \left(-2 x +1\right)^{\frac{3}{2}}}{125}-\frac{256 \sqrt{-2 x +1}}{625}-\frac{44 \left(-\frac{57 \left(-2 x +1\right)^{\frac{3}{2}}}{20}+\frac{649 \sqrt{-2 x +1}}{100}\right)}{25 \left(-10 x -6\right)^{2}}"," ",0,"-4/125*(-2*x+1)^(3/2)-256/625*(-2*x+1)^(1/2)-44/25*(-57/20*(-2*x+1)^(3/2)+649/100*(-2*x+1)^(1/2))/(-10*x-6)^2+63/625*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1995,1,57,60,0.010000," ","int((-2*x+1)^(5/2)/(5*x+3)^3,x)","-\frac{3 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{125}+\frac{8 \sqrt{-2 x +1}}{125}+\frac{-\frac{99 \left(-2 x +1\right)^{\frac{3}{2}}}{25}+\frac{847 \sqrt{-2 x +1}}{125}}{\left(-10 x -6\right)^{2}}"," ",0,"8/125*(-2*x+1)^(1/2)+88/5*(-9/40*(-2*x+1)^(3/2)+77/200*(-2*x+1)^(1/2))/(-10*x-6)^2-3/125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
1996,1,66,69,0.012000," ","int((-2*x+1)^(5/2)/(3*x+2)/(5*x+3)^3,x)","\frac{98 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{3}-\frac{2523 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{125}+\frac{-165 \left(-2 x +1\right)^{\frac{3}{2}}+\frac{8833 \sqrt{-2 x +1}}{25}}{\left(-10 x -6\right)^{2}}"," ",0,"550*(-3/10*(-2*x+1)^(3/2)+803/1250*(-2*x+1)^(1/2))/(-10*x-6)^2-2523/125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+98/3*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1997,1,82,92,0.015000," ","int((-2*x+1)^(5/2)/(3*x+2)^2/(5*x+3)^3,x)","\frac{1400 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{3}-\frac{7209 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{25}+\frac{-1551 \left(-2 x +1\right)^{\frac{3}{2}}+\frac{16819 \sqrt{-2 x +1}}{5}}{\left(-10 x -6\right)^{2}}-\frac{98 \sqrt{-2 x +1}}{3 \left(-2 x -\frac{4}{3}\right)}"," ",0,"550*(-141/50*(-2*x+1)^(3/2)+1529/250*(-2*x+1)^(1/2))/(-10*x-6)^2-7209/25*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-98/3*(-2*x+1)^(1/2)/(-2*x-4/3)+1400/3*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1998,1,94,115,0.015000," ","int((-2*x+1)^(5/2)/(3*x+2)^3/(5*x+3)^3,x)","4555 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)-\frac{14073 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{5}+\frac{-11385 \left(-2 x +1\right)^{\frac{3}{2}}+24805 \sqrt{-2 x +1}}{\left(-10 x -6\right)^{2}}-\frac{252 \left(\frac{67 \left(-2 x +1\right)^{\frac{3}{2}}}{4}-\frac{1421 \sqrt{-2 x +1}}{36}\right)}{\left(-6 x -4\right)^{2}}"," ",0,"1100*(-207/20*(-2*x+1)^(3/2)+451/20*(-2*x+1)^(1/2))/(-10*x-6)^2-14073/5*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-252*(67/4*(-2*x+1)^(3/2)-1421/36*(-2*x+1)^(1/2))/(-6*x-4)^2+4555*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
1999,1,103,138,0.016000," ","int((-2*x+1)^(5/2)/(3*x+2)^4/(5*x+3)^3,x)","\frac{785570 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{21}-23115 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)+\frac{-75075 \left(-2 x +1\right)^{\frac{3}{2}}+163955 \sqrt{-2 x +1}}{\left(-10 x -6\right)^{2}}-\frac{108 \left(\frac{6883 \left(-2 x +1\right)^{\frac{5}{2}}}{6}-\frac{145600 \left(-2 x +1\right)^{\frac{3}{2}}}{27}+\frac{342265 \sqrt{-2 x +1}}{54}\right)}{\left(-6 x -4\right)^{3}}"," ",0,"5500*(-273/20*(-2*x+1)^(3/2)+2981/100*(-2*x+1)^(1/2))/(-10*x-6)^2-23115*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-108*(6883/6*(-2*x+1)^(5/2)-145600/27*(-2*x+1)^(3/2)+342265/54*(-2*x+1)^(1/2))/(-6*x-4)^3+785570/21*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2000,1,112,161,0.014000," ","int((-2*x+1)^(5/2)/(3*x+2)^5/(5*x+3)^3,x)","\frac{163363895 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{588}-171675 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)+\frac{-466125 \left(-2 x +1\right)^{\frac{3}{2}}+1019425 \sqrt{-2 x +1}}{\left(-10 x -6\right)^{2}}-\frac{162 \left(\frac{3170015 \left(-2 x +1\right)^{\frac{7}{2}}}{168}-\frac{28695733 \left(-2 x +1\right)^{\frac{5}{2}}}{216}+\frac{202051885 \left(-2 x +1\right)^{\frac{3}{2}}}{648}-\frac{52696315 \sqrt{-2 x +1}}{216}\right)}{\left(-6 x -4\right)^{4}}"," ",0,"13750*(-339/10*(-2*x+1)^(3/2)+3707/50*(-2*x+1)^(1/2))/(-10*x-6)^2-171675*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-162*(3170015/168*(-2*x+1)^(7/2)-28695733/216*(-2*x+1)^(5/2)+202051885/648*(-2*x+1)^(3/2)-52696315/216*(-2*x+1)^(1/2))/(-6*x-4)^4+163363895/588*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2001,1,40,64,0.002000," ","int((3*x+2)^5*(5*x+3)/(-2*x+1)^(1/2),x)","-\frac{\left(40095 x^{6}+208251 x^{5}+488925 x^{4}+698580 x^{3}+707436 x^{2}+597464 x +638648\right) \sqrt{-2 x +1}}{429}"," ",0,"-1/429*(40095*x^6+208251*x^5+488925*x^4+698580*x^3+707436*x^2+597464*x+638648)*(-2*x+1)^(1/2)","A"
2002,1,35,55,0.004000," ","int((3*x+2)^4*(5*x+3)/(-2*x+1)^(1/2),x)","-\frac{\left(6075 x^{5}+27630 x^{4}+56520 x^{3}+71136 x^{2}+67664 x +75584\right) \sqrt{-2 x +1}}{165}"," ",0,"-1/165*(6075*x^5+27630*x^4+56520*x^3+71136*x^2+67664*x+75584)*(-2*x+1)^(1/2)","A"
2003,1,30,46,0.006000," ","int((3*x+2)^3*(5*x+3)/(-2*x+1)^(1/2),x)","-\frac{\left(1575 x^{4}+6165 x^{3}+10881 x^{2}+12434 x +14954\right) \sqrt{-2 x +1}}{105}"," ",0,"-1/105*(1575*x^4+6165*x^3+10881*x^2+12434*x+14954)*(-2*x+1)^(1/2)","A"
2004,1,25,37,0.004000," ","int((3*x+2)^2*(5*x+3)/(-2*x+1)^(1/2),x)","-\frac{\left(675 x^{3}+2232 x^{2}+3448 x +4708\right) \sqrt{-2 x +1}}{105}"," ",0,"-1/105*(675*x^3+2232*x^2+3448*x+4708)*(-2*x+1)^(1/2)","A"
2005,1,20,28,0.004000," ","int((3*x+2)*(5*x+3)/(-2*x+1)^(1/2),x)","-\frac{\left(9 x^{2}+25 x +43\right) \sqrt{-2 x +1}}{3}"," ",0,"-1/3*(9*x^2+25*x+43)*(-2*x+1)^(1/2)","A"
2006,1,15,19,0.003000," ","int((5*x+3)/(-2*x+1)^(1/2),x)","-\frac{\left(5 x +14\right) \sqrt{-2 x +1}}{3}"," ",0,"-1/3*(5*x+14)*(-2*x+1)^(1/2)","A"
2007,1,29,28,0.007000," ","int((5*x+3)/(3*x+2)/(-2*x+1)^(1/2),x)","\frac{2 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{63}-\frac{5 \sqrt{-2 x +1}}{3}"," ",0,"2/63*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)-5/3*(-2*x+1)^(1/2)","A"
2008,1,36,35,0.010000," ","int((5*x+3)/(3*x+2)^2/(-2*x+1)^(1/2),x)","-\frac{68 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{441}-\frac{2 \sqrt{-2 x +1}}{63 \left(-2 x -\frac{4}{3}\right)}"," ",0,"-2/63*(-2*x+1)^(1/2)/(-2*x-4/3)-68/441*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2009,1,48,51,0.010000," ","int((5*x+3)/(3*x+2)^3/(-2*x+1)^(1/2),x)","-\frac{67 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{3087}-\frac{36 \left(-\frac{67 \left(-2 x +1\right)^{\frac{3}{2}}}{1764}+\frac{65 \sqrt{-2 x +1}}{756}\right)}{\left(-6 x -4\right)^{2}}"," ",0,"-36*(-67/1764*(-2*x+1)^(3/2)+65/756*(-2*x+1)^(1/2))/(-6*x-4)^2-67/3087*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2010,1,57,67,0.012000," ","int((5*x+3)/(3*x+2)^4/(-2*x+1)^(1/2),x)","-\frac{100 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{21609}+\frac{\frac{300 \left(-2 x +1\right)^{\frac{5}{2}}}{343}-\frac{800 \left(-2 x +1\right)^{\frac{3}{2}}}{147}+\frac{164 \sqrt{-2 x +1}}{21}}{\left(-6 x -4\right)^{3}}"," ",0,"216*(25/6174*(-2*x+1)^(5/2)-100/3969*(-2*x+1)^(3/2)+41/1134*(-2*x+1)^(1/2))/(-6*x-4)^3-100/21609*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2011,1,66,83,0.011000," ","int((5*x+3)/(3*x+2)^5/(-2*x+1)^(1/2),x)","-\frac{95 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{86436}-\frac{1296 \left(-\frac{95 \left(-2 x +1\right)^{\frac{7}{2}}}{197568}+\frac{1045 \left(-2 x +1\right)^{\frac{5}{2}}}{254016}-\frac{1387 \left(-2 x +1\right)^{\frac{3}{2}}}{108864}+\frac{1447 \sqrt{-2 x +1}}{108864}\right)}{\left(-6 x -4\right)^{4}}"," ",0,"-1296*(-95/197568*(-2*x+1)^(7/2)+1045/254016*(-2*x+1)^(5/2)-1387/108864*(-2*x+1)^(3/2)+1447/108864*(-2*x+1)^(1/2))/(-6*x-4)^4-95/86436*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2012,1,45,73,0.006000," ","int((3*x+2)^5*(5*x+3)^2/(-2*x+1)^(1/2),x)","-\frac{\left(173745 x^{7}+1002375 x^{6}+2632743 x^{5}+4212525 x^{4}+4694340 x^{3}+4058988 x^{2}+3152152 x +3275704\right) \sqrt{-2 x +1}}{429}"," ",0,"-1/429*(173745*x^7+1002375*x^6+2632743*x^5+4212525*x^4+4694340*x^3+4058988*x^2+3152152*x+3275704)*(-2*x+1)^(1/2)","A"
2013,1,40,64,0.004000," ","int((3*x+2)^4*(5*x+3)^2/(-2*x+1)^(1/2),x)","-\frac{\left(334125 x^{6}+1709100 x^{5}+3954645 x^{4}+5576580 x^{3}+5587044 x^{2}+4685656 x +4994536\right) \sqrt{-2 x +1}}{2145}"," ",0,"-1/2145*(334125*x^6+1709100*x^5+3954645*x^4+5576580*x^3+5587044*x^2+4685656*x+4994536)*(-2*x+1)^(1/2)","A"
2014,1,35,55,0.005000," ","int((3*x+2)^3*(5*x+3)^2/(-2*x+1)^(1/2),x)","-\frac{\left(70875 x^{5}+316575 x^{4}+636795 x^{3}+790023 x^{2}+743822 x +826982\right) \sqrt{-2 x +1}}{1155}"," ",0,"-1/1155*(70875*x^5+316575*x^4+636795*x^3+790023*x^2+743822*x+826982)*(-2*x+1)^(1/2)","A"
2015,1,30,46,0.006000," ","int((3*x+2)^2*(5*x+3)^2/(-2*x+1)^(1/2),x)","-\frac{\left(2625 x^{4}+10050 x^{3}+17391 x^{2}+19574 x +23354\right) \sqrt{-2 x +1}}{105}"," ",0,"-1/105*(2625*x^4+10050*x^3+17391*x^2+19574*x+23354)*(-2*x+1)^(1/2)","A"
2016,1,25,37,0.003000," ","int((3*x+2)*(5*x+3)^2/(-2*x+1)^(1/2),x)","-\frac{\left(225 x^{3}+723 x^{2}+1091 x +1469\right) \sqrt{-2 x +1}}{21}"," ",0,"-1/21*(225*x^3+723*x^2+1091*x+1469)*(-2*x+1)^(1/2)","A"
2017,1,20,28,0.003000," ","int((5*x+3)^2/(-2*x+1)^(1/2),x)","-\frac{\left(15 x^{2}+40 x +67\right) \sqrt{-2 x +1}}{3}"," ",0,"-1/3*(15*x^2+40*x+67)*(-2*x+1)^(1/2)","A"
2018,1,38,37,0.007000," ","int((5*x+3)^2/(3*x+2)/(-2*x+1)^(1/2),x)","-\frac{2 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{189}+\frac{25 \left(-2 x +1\right)^{\frac{3}{2}}}{18}-\frac{155 \sqrt{-2 x +1}}{18}"," ",0,"25/18*(-2*x+1)^(3/2)-2/189*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)-155/18*(-2*x+1)^(1/2)","A"
2019,1,45,44,0.013000," ","int((5*x+3)^2/(3*x+2)^2/(-2*x+1)^(1/2),x)","\frac{46 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{441}-\frac{25 \sqrt{-2 x +1}}{9}+\frac{2 \sqrt{-2 x +1}}{189 \left(-2 x -\frac{4}{3}\right)}"," ",0,"-25/9*(-2*x+1)^(1/2)+2/189*(-2*x+1)^(1/2)/(-2*x-4/3)+46/441*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2020,1,48,51,0.014000," ","int((5*x+3)^2/(3*x+2)^3/(-2*x+1)^(1/2),x)","-\frac{257 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{1029}+\frac{-\frac{137 \left(-2 x +1\right)^{\frac{3}{2}}}{147}+\frac{15 \sqrt{-2 x +1}}{7}}{\left(-6 x -4\right)^{2}}"," ",0,"18*(-137/2646*(-2*x+1)^(3/2)+5/42*(-2*x+1)^(1/2))/(-6*x-4)^2-257/1029*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2021,1,57,67,0.013000," ","int((5*x+3)^2/(3*x+2)^4/(-2*x+1)^(1/2),x)","-\frac{2245 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{64827}-\frac{108 \left(-\frac{2245 \left(-2 x +1\right)^{\frac{5}{2}}}{37044}+\frac{3265 \left(-2 x +1\right)^{\frac{3}{2}}}{11907}-\frac{2111 \sqrt{-2 x +1}}{6804}\right)}{\left(-6 x -4\right)^{3}}"," ",0,"-108*(-2245/37044*(-2*x+1)^(5/2)+3265/11907*(-2*x+1)^(3/2)-2111/6804*(-2*x+1)^(1/2))/(-6*x-4)^3-2245/64827*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2022,1,66,83,0.011000," ","int((5*x+3)^2/(3*x+2)^5/(-2*x+1)^(1/2),x)","-\frac{635 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{86436}+\frac{\frac{5715 \left(-2 x +1\right)^{\frac{7}{2}}}{1372}-\frac{6985 \left(-2 x +1\right)^{\frac{5}{2}}}{196}+\frac{2717 \left(-2 x +1\right)^{\frac{3}{2}}}{28}-\frac{7171 \sqrt{-2 x +1}}{84}}{\left(-6 x -4\right)^{4}}"," ",0,"648*(635/98784*(-2*x+1)^(7/2)-6985/127008*(-2*x+1)^(5/2)+2717/18144*(-2*x+1)^(3/2)-7171/54432*(-2*x+1)^(1/2))/(-6*x-4)^4-635/86436*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2023,1,75,99,0.011000," ","int((5*x+3)^2/(3*x+2)^6/(-2*x+1)^(1/2),x)","-\frac{117 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{67228}-\frac{3888 \left(-\frac{117 \left(-2 x +1\right)^{\frac{9}{2}}}{153664}+\frac{13 \left(-2 x +1\right)^{\frac{7}{2}}}{1568}-\frac{26 \left(-2 x +1\right)^{\frac{5}{2}}}{735}+\frac{77587 \left(-2 x +1\right)^{\frac{3}{2}}}{1143072}-\frac{5287 \sqrt{-2 x +1}}{108864}\right)}{\left(-6 x -4\right)^{5}}"," ",0,"-3888*(-117/153664*(-2*x+1)^(9/2)+13/1568*(-2*x+1)^(7/2)-26/735*(-2*x+1)^(5/2)+77587/1143072*(-2*x+1)^(3/2)-5287/108864*(-2*x+1)^(1/2))/(-6*x-4)^5-117/67228*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2024,1,45,73,0.005000," ","int((3*x+2)^4*(5*x+3)^3/(-2*x+1)^(1/2),x)","-\frac{\left(1447875 x^{7}+8241750 x^{6}+21369825 x^{5}+33786160 x^{4}+37260640 x^{3}+31962552 x^{2}+24706048 x +25632688\right) \sqrt{-2 x +1}}{2145}"," ",0,"-1/2145*(1447875*x^7+8241750*x^6+21369825*x^5+33786160*x^4+37260640*x^3+31962552*x^2+24706048*x+25632688)*(-2*x+1)^(1/2)","A"
2025,1,40,64,0.005000," ","int((3*x+2)^3*(5*x+3)^3/(-2*x+1)^(1/2),x)","-\frac{\left(1299375 x^{6}+6544125 x^{5}+14921900 x^{4}+20766885 x^{3}+20586249 x^{2}+17147586 x +18228666\right) \sqrt{-2 x +1}}{5005}"," ",0,"-1/5005*(1299375*x^6+6544125*x^5+14921900*x^4+20766885*x^3+20586249*x^2+17147586*x+18228666)*(-2*x+1)^(1/2)","A"
2026,1,35,55,0.005000," ","int((3*x+2)^2*(5*x+3)^3/(-2*x+1)^(1/2),x)","-\frac{\left(118125 x^{5}+518000 x^{4}+1024475 x^{3}+1252938 x^{2}+1167932 x +1292672\right) \sqrt{-2 x +1}}{1155}"," ",0,"-1/1155*(118125*x^5+518000*x^4+1024475*x^3+1252938*x^2+1167932*x+1292672)*(-2*x+1)^(1/2)","A"
2027,1,30,46,0.005000," ","int((3*x+2)*(5*x+3)^3/(-2*x+1)^(1/2),x)","-\frac{\left(875 x^{4}+3275 x^{3}+5556 x^{2}+6161 x +7295\right) \sqrt{-2 x +1}}{21}"," ",0,"-1/21*(875*x^4+3275*x^3+5556*x^2+6161*x+7295)*(-2*x+1)^(1/2)","A"
2028,1,25,37,0.005000," ","int((5*x+3)^3/(-2*x+1)^(1/2),x)","-\frac{\left(125 x^{3}+390 x^{2}+575 x +764\right) \sqrt{-2 x +1}}{7}"," ",0,"-1/7*(125*x^3+390*x^2+575*x+764)*(-2*x+1)^(1/2)","A"
2029,1,47,46,0.007000," ","int((5*x+3)^3/(3*x+2)/(-2*x+1)^(1/2),x)","\frac{2 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{567}+\frac{400 \left(-2 x +1\right)^{\frac{3}{2}}}{27}-\frac{25 \left(-2 x +1\right)^{\frac{5}{2}}}{12}-\frac{5135 \sqrt{-2 x +1}}{108}"," ",0,"400/27*(-2*x+1)^(3/2)-25/12*(-2*x+1)^(5/2)+2/567*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)-5135/108*(-2*x+1)^(1/2)","A"
2030,1,54,56,0.013000," ","int((5*x+3)^3/(3*x+2)^2/(-2*x+1)^(1/2),x)","-\frac{208 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{3969}+\frac{125 \left(-2 x +1\right)^{\frac{3}{2}}}{54}-\frac{725 \sqrt{-2 x +1}}{54}-\frac{2 \sqrt{-2 x +1}}{567 \left(-2 x -\frac{4}{3}\right)}"," ",0,"125/54*(-2*x+1)^(3/2)-725/54*(-2*x+1)^(1/2)-2/567*(-2*x+1)^(1/2)/(-2*x-4/3)-208/3969*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2031,1,57,63,0.013000," ","int((5*x+3)^3/(3*x+2)^3/(-2*x+1)^(1/2),x)","\frac{2381 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{9261}-\frac{125 \sqrt{-2 x +1}}{27}-\frac{2 \left(-\frac{69 \left(-2 x +1\right)^{\frac{3}{2}}}{98}+\frac{205 \sqrt{-2 x +1}}{126}\right)}{3 \left(-6 x -4\right)^{2}}"," ",0,"-125/27*(-2*x+1)^(1/2)-2/3*(-69/98*(-2*x+1)^(3/2)+205/126*(-2*x+1)^(1/2))/(-6*x-4)^2+2381/9261*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2032,1,57,63,0.013000," ","int((5*x+3)^3/(3*x+2)^4/(-2*x+1)^(1/2),x)","-\frac{78710 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{194481}+\frac{-\frac{7040 \left(-2 x +1\right)^{\frac{5}{2}}}{1029}+\frac{41620 \left(-2 x +1\right)^{\frac{3}{2}}}{1323}-\frac{6836 \sqrt{-2 x +1}}{189}}{\left(-6 x -4\right)^{3}}"," ",0,"54*(-3520/27783*(-2*x+1)^(5/2)+20810/35721*(-2*x+1)^(3/2)-3418/5103*(-2*x+1)^(1/2))/(-6*x-4)^3-78710/194481*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2033,1,66,79,0.015000," ","int((5*x+3)^3/(3*x+2)^5/(-2*x+1)^(1/2),x)","-\frac{42995 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{777924}-\frac{324 \left(-\frac{42995 \left(-2 x +1\right)^{\frac{7}{2}}}{444528}+\frac{374945 \left(-2 x +1\right)^{\frac{5}{2}}}{571536}-\frac{363407 \left(-2 x +1\right)^{\frac{3}{2}}}{244944}+\frac{274027 \sqrt{-2 x +1}}{244944}\right)}{\left(-6 x -4\right)^{4}}"," ",0,"-324*(-42995/444528*(-2*x+1)^(7/2)+374945/571536*(-2*x+1)^(5/2)-363407/244944*(-2*x+1)^(3/2)+274027/244944*(-2*x+1)^(1/2))/(-6*x-4)^4-42995/777924*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2034,1,75,95,0.013000," ","int((5*x+3)^3/(3*x+2)^6/(-2*x+1)^(1/2),x)","-\frac{5293 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{453789}+\frac{\frac{47637 \left(-2 x +1\right)^{\frac{9}{2}}}{2401}-\frac{10586 \left(-2 x +1\right)^{\frac{7}{2}}}{49}+\frac{628504 \left(-2 x +1\right)^{\frac{5}{2}}}{735}-\frac{648694 \left(-2 x +1\right)^{\frac{3}{2}}}{441}+\frac{58781 \sqrt{-2 x +1}}{63}}{\left(-6 x -4\right)^{5}}"," ",0,"1944*(5293/518616*(-2*x+1)^(9/2)-5293/47628*(-2*x+1)^(7/2)+78563/178605*(-2*x+1)^(5/2)-324347/428652*(-2*x+1)^(3/2)+58781/122472*(-2*x+1)^(1/2))/(-6*x-4)^5-5293/453789*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2035,1,387,118,0.021000," ","int((b*x+a)^2/(d*x+c)^2/(f*x+e)^(1/2),x)","\frac{a^{2} f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right) \sqrt{\left(c f -d e \right) d}}+\frac{2 a b c f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right) \sqrt{\left(c f -d e \right) d}\, d}-\frac{4 a b e \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right) \sqrt{\left(c f -d e \right) d}}-\frac{3 b^{2} c^{2} f \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right) \sqrt{\left(c f -d e \right) d}\, d^{2}}+\frac{4 b^{2} c e \arctan \left(\frac{\sqrt{f x +e}\, d}{\sqrt{\left(c f -d e \right) d}}\right)}{\left(c f -d e \right) \sqrt{\left(c f -d e \right) d}\, d}+\frac{\sqrt{f x +e}\, a^{2} f}{\left(c f -d e \right) \left(d f x +c f \right)}-\frac{2 \sqrt{f x +e}\, a b c f}{\left(c f -d e \right) \left(d f x +c f \right) d}+\frac{\sqrt{f x +e}\, b^{2} c^{2} f}{\left(c f -d e \right) \left(d f x +c f \right) d^{2}}+\frac{2 \sqrt{f x +e}\, b^{2}}{d^{2} f}"," ",0,"2*b^2*(f*x+e)^(1/2)/d^2/f+f/(c*f-d*e)*(f*x+e)^(1/2)/(d*f*x+c*f)*a^2-2*f/d/(c*f-d*e)*(f*x+e)^(1/2)/(d*f*x+c*f)*a*b*c+f/d^2/(c*f-d*e)*(f*x+e)^(1/2)/(d*f*x+c*f)*b^2*c^2+f/(c*f-d*e)/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a^2+2*f/d/(c*f-d*e)/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b*c-4/(c*f-d*e)/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*a*b*e-3*f/d^2/(c*f-d*e)/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^2*c^2+4/d/(c*f-d*e)/((c*f-d*e)*d)^(1/2)*arctan((f*x+e)^(1/2)/((c*f-d*e)*d)^(1/2)*d)*b^2*c*e","B"
2036,1,65,64,0.008000," ","int((3*x+2)^5/(5*x+3)/(-2*x+1)^(1/2),x)","-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{171875}+\frac{268707 \left(-2 x +1\right)^{\frac{3}{2}}}{5000}-\frac{51057 \left(-2 x +1\right)^{\frac{5}{2}}}{2500}+\frac{5751 \left(-2 x +1\right)^{\frac{7}{2}}}{1400}-\frac{27 \left(-2 x +1\right)^{\frac{9}{2}}}{80}-\frac{4774713 \sqrt{-2 x +1}}{50000}"," ",0,"268707/5000*(-2*x+1)^(3/2)-51057/2500*(-2*x+1)^(5/2)+5751/1400*(-2*x+1)^(7/2)-27/80*(-2*x+1)^(9/2)-2/171875*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-4774713/50000*(-2*x+1)^(1/2)","A"
2037,1,56,55,0.008000," ","int((3*x+2)^4/(5*x+3)/(-2*x+1)^(1/2),x)","-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{34375}+\frac{11457 \left(-2 x +1\right)^{\frac{3}{2}}}{1000}-\frac{2889 \left(-2 x +1\right)^{\frac{5}{2}}}{1000}+\frac{81 \left(-2 x +1\right)^{\frac{7}{2}}}{280}-\frac{136419 \sqrt{-2 x +1}}{5000}"," ",0,"11457/1000*(-2*x+1)^(3/2)-2889/1000*(-2*x+1)^(5/2)+81/280*(-2*x+1)^(7/2)-2/34375*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-136419/5000*(-2*x+1)^(1/2)","A"
2038,1,47,46,0.008000," ","int((3*x+2)^3/(5*x+3)/(-2*x+1)^(1/2),x)","-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{6875}+\frac{54 \left(-2 x +1\right)^{\frac{3}{2}}}{25}-\frac{27 \left(-2 x +1\right)^{\frac{5}{2}}}{100}-\frac{3897 \sqrt{-2 x +1}}{500}"," ",0,"54/25*(-2*x+1)^(3/2)-27/100*(-2*x+1)^(5/2)-2/6875*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-3897/500*(-2*x+1)^(1/2)","A"
2039,1,38,37,0.007000," ","int((3*x+2)^2/(5*x+3)/(-2*x+1)^(1/2),x)","-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1375}+\frac{3 \left(-2 x +1\right)^{\frac{3}{2}}}{10}-\frac{111 \sqrt{-2 x +1}}{50}"," ",0,"3/10*(-2*x+1)^(3/2)-2/1375*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-111/50*(-2*x+1)^(1/2)","A"
2040,1,29,28,0.006000," ","int((3*x+2)/(5*x+3)/(-2*x+1)^(1/2),x)","-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{275}-\frac{3 \sqrt{-2 x +1}}{5}"," ",0,"-2/275*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-3/5*(-2*x+1)^(1/2)","A"
2041,1,19,18,0.005000," ","int(1/(5*x+3)/(-2*x+1)^(1/2),x)","-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{55}"," ",0,"-2/55*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2042,1,38,37,0.010000," ","int(1/(3*x+2)/(5*x+3)/(-2*x+1)^(1/2),x)","\frac{2 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{7}-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{11}"," ",0,"2/7*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)-2/11*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2043,1,54,53,0.013000," ","int(1/(3*x+2)^2/(5*x+3)/(-2*x+1)^(1/2),x)","\frac{72 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{49}-\frac{10 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{11}-\frac{2 \sqrt{-2 x +1}}{7 \left(-2 x -\frac{4}{3}\right)}"," ",0,"-10/11*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-2/7*(-2*x+1)^(1/2)/(-2*x-4/3)+72/49*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2044,1,66,69,0.013000," ","int(1/(3*x+2)^3/(5*x+3)/(-2*x+1)^(1/2),x)","\frac{2523 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{343}-\frac{50 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{11}-\frac{162 \left(\frac{73 \left(-2 x +1\right)^{\frac{3}{2}}}{882}-\frac{25 \sqrt{-2 x +1}}{126}\right)}{\left(-6 x -4\right)^{2}}"," ",0,"-50/11*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-162*(73/882*(-2*x+1)^(3/2)-25/126*(-2*x+1)^(1/2))/(-6*x-4)^2+2523/343*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2045,1,75,85,0.013000," ","int(1/(3*x+2)^4/(5*x+3)/(-2*x+1)^(1/2),x)","\frac{88310 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{2401}-\frac{250 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{11}-\frac{162 \left(\frac{1280 \left(-2 x +1\right)^{\frac{5}{2}}}{1029}-\frac{7790 \left(-2 x +1\right)^{\frac{3}{2}}}{1323}+\frac{1318 \sqrt{-2 x +1}}{189}\right)}{\left(-6 x -4\right)^{3}}"," ",0,"-250/11*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-162*(1280/1029*(-2*x+1)^(5/2)-7790/1323*(-2*x+1)^(3/2)+1318/189*(-2*x+1)^(1/2))/(-6*x-4)^3+88310/2401*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2046,1,84,101,0.015000," ","int(1/(3*x+2)^5/(5*x+3)/(-2*x+1)^(1/2),x)","\frac{36045 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{196}-\frac{1250 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{11}-\frac{486 \left(\frac{1045 \left(-2 x +1\right)^{\frac{7}{2}}}{168}-\frac{1055 \left(-2 x +1\right)^{\frac{5}{2}}}{24}+\frac{22373 \left(-2 x +1\right)^{\frac{3}{2}}}{216}-\frac{369133 \sqrt{-2 x +1}}{4536}\right)}{\left(-6 x -4\right)^{4}}"," ",0,"-1250/11*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-486*(1045/168*(-2*x+1)^(7/2)-1055/24*(-2*x+1)^(5/2)+22373/216*(-2*x+1)^(3/2)-369133/4536*(-2*x+1)^(1/2))/(-6*x-4)^4+36045/196*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2047,1,81,104,0.013000," ","int((3*x+2)^6/(5*x+3)^2/(-2*x+1)^(1/2),x)","-\frac{398 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{9453125}-\frac{81 \left(-2 x +1\right)^{\frac{9}{2}}}{400}+\frac{2187 \left(-2 x +1\right)^{\frac{7}{2}}}{875}-\frac{315171 \left(-2 x +1\right)^{\frac{5}{2}}}{25000}+\frac{105228 \left(-2 x +1\right)^{\frac{3}{2}}}{3125}-\frac{607689 \sqrt{-2 x +1}}{10000}+\frac{2 \sqrt{-2 x +1}}{859375 \left(-2 x -\frac{6}{5}\right)}"," ",0,"-81/400*(-2*x+1)^(9/2)+2187/875*(-2*x+1)^(7/2)-315171/25000*(-2*x+1)^(5/2)+105228/3125*(-2*x+1)^(3/2)-607689/10000*(-2*x+1)^(1/2)+2/859375*(-2*x+1)^(1/2)/(-2*x-6/5)-398/9453125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2048,1,72,88,0.012000," ","int((3*x+2)^5/(5*x+3)^2/(-2*x+1)^(1/2),x)","-\frac{332 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1890625}+\frac{243 \left(-2 x +1\right)^{\frac{7}{2}}}{1400}-\frac{8829 \left(-2 x +1\right)^{\frac{5}{2}}}{5000}+\frac{35703 \left(-2 x +1\right)^{\frac{3}{2}}}{5000}-\frac{434043 \sqrt{-2 x +1}}{25000}+\frac{2 \sqrt{-2 x +1}}{171875 \left(-2 x -\frac{6}{5}\right)}"," ",0,"243/1400*(-2*x+1)^(7/2)-8829/5000*(-2*x+1)^(5/2)+35703/5000*(-2*x+1)^(3/2)-434043/25000*(-2*x+1)^(1/2)+2/171875*(-2*x+1)^(1/2)/(-2*x-6/5)-332/1890625*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2049,1,63,72,0.011000," ","int((3*x+2)^4/(5*x+3)^2/(-2*x+1)^(1/2),x)","-\frac{266 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{378125}-\frac{81 \left(-2 x +1\right)^{\frac{5}{2}}}{500}+\frac{333 \left(-2 x +1\right)^{\frac{3}{2}}}{250}-\frac{12393 \sqrt{-2 x +1}}{2500}+\frac{2 \sqrt{-2 x +1}}{34375 \left(-2 x -\frac{6}{5}\right)}"," ",0,"-81/500*(-2*x+1)^(5/2)+333/250*(-2*x+1)^(3/2)-12393/2500*(-2*x+1)^(1/2)+2/34375*(-2*x+1)^(1/2)/(-2*x-6/5)-266/378125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2050,1,54,56,0.013000," ","int((3*x+2)^3/(5*x+3)^2/(-2*x+1)^(1/2),x)","-\frac{8 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{3025}+\frac{9 \left(-2 x +1\right)^{\frac{3}{2}}}{50}-\frac{351 \sqrt{-2 x +1}}{250}+\frac{2 \sqrt{-2 x +1}}{6875 \left(-2 x -\frac{6}{5}\right)}"," ",0,"9/50*(-2*x+1)^(3/2)-351/250*(-2*x+1)^(1/2)+2/6875*(-2*x+1)^(1/2)/(-2*x-6/5)-8/3025*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2051,1,45,44,0.012000," ","int((3*x+2)^2/(5*x+3)^2/(-2*x+1)^(1/2),x)","-\frac{134 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{15125}-\frac{9 \sqrt{-2 x +1}}{25}+\frac{2 \sqrt{-2 x +1}}{1375 \left(-2 x -\frac{6}{5}\right)}"," ",0,"-9/25*(-2*x+1)^(1/2)+2/1375*(-2*x+1)^(1/2)/(-2*x-6/5)-134/15125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2052,1,36,35,0.010000," ","int((3*x+2)/(5*x+3)^2/(-2*x+1)^(1/2),x)","-\frac{68 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{3025}+\frac{2 \sqrt{-2 x +1}}{275 \left(-2 x -\frac{6}{5}\right)}"," ",0,"2/275*(-2*x+1)^(1/2)/(-2*x-6/5)-68/3025*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2053,1,36,35,0.024000," ","int(1/(5*x+3)^2/(-2*x+1)^(1/2),x)","-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{605}+\frac{2 \sqrt{-2 x +1}}{11 \left(-10 x -6\right)}"," ",0,"2/11*(-2*x+1)^(1/2)/(-10*x-6)-2/605*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2054,1,54,53,0.013000," ","int(1/(3*x+2)/(5*x+3)^2/(-2*x+1)^(1/2),x)","-\frac{6 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{7}+\frac{64 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{121}+\frac{2 \sqrt{-2 x +1}}{11 \left(-2 x -\frac{6}{5}\right)}"," ",0,"2/11*(-2*x+1)^(1/2)/(-2*x-6/5)+64/121*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-6/7*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2055,1,70,76,0.015000," ","int(1/(3*x+2)^2/(5*x+3)^2/(-2*x+1)^(1/2),x)","-\frac{426 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{49}+\frac{650 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{121}+\frac{10 \sqrt{-2 x +1}}{11 \left(-2 x -\frac{6}{5}\right)}+\frac{6 \sqrt{-2 x +1}}{7 \left(-2 x -\frac{4}{3}\right)}"," ",0,"10/11*(-2*x+1)^(1/2)/(-2*x-6/5)+650/121*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+6/7*(-2*x+1)^(1/2)/(-2*x-4/3)-426/49*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2056,1,82,99,0.016000," ","int(1/(3*x+2)^3/(5*x+3)^2/(-2*x+1)^(1/2),x)","-\frac{22479 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{343}+\frac{4900 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{121}+\frac{50 \sqrt{-2 x +1}}{11 \left(-2 x -\frac{6}{5}\right)}+\frac{\frac{3861 \left(-2 x +1\right)^{\frac{3}{2}}}{49}-\frac{1305 \sqrt{-2 x +1}}{7}}{\left(-6 x -4\right)^{2}}"," ",0,"50/11*(-2*x+1)^(1/2)/(-2*x-6/5)+4900/121*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+486*(143/882*(-2*x+1)^(3/2)-145/378*(-2*x+1)^(1/2))/(-6*x-4)^2-22479/343*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2057,1,91,122,0.016000," ","int(1/(3*x+2)^4/(5*x+3)^2/(-2*x+1)^(1/2),x)","-\frac{1051695 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{2401}+\frac{32750 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{121}+\frac{250 \sqrt{-2 x +1}}{11 \left(-2 x -\frac{6}{5}\right)}+\frac{\frac{612765 \left(-2 x +1\right)^{\frac{5}{2}}}{343}-\frac{412380 \left(-2 x +1\right)^{\frac{3}{2}}}{49}+\frac{69399 \sqrt{-2 x +1}}{7}}{\left(-6 x -4\right)^{3}}"," ",0,"250/11*(-2*x+1)^(1/2)/(-2*x-6/5)+32750/121*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+972*(7565/4116*(-2*x+1)^(5/2)-11455/1323*(-2*x+1)^(3/2)+7711/756*(-2*x+1)^(1/2))/(-6*x-4)^3-1051695/2401*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2058,1,84,111,0.013000," ","int((3*x+2)^6/(5*x+3)^3/(-2*x+1)^(1/2),x)","-\frac{33069 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{103984375}+\frac{729 \left(-2 x +1\right)^{\frac{7}{2}}}{7000}-\frac{26973 \left(-2 x +1\right)^{\frac{5}{2}}}{25000}+\frac{111213 \left(-2 x +1\right)^{\frac{3}{2}}}{25000}-\frac{276183 \sqrt{-2 x +1}}{25000}+\frac{\frac{399 \left(-2 x +1\right)^{\frac{3}{2}}}{378125}-\frac{401 \sqrt{-2 x +1}}{171875}}{\left(-10 x -6\right)^{2}}"," ",0,"729/7000*(-2*x+1)^(7/2)-26973/25000*(-2*x+1)^(5/2)+111213/25000*(-2*x+1)^(3/2)-276183/25000*(-2*x+1)^(1/2)+2/125*(399/6050*(-2*x+1)^(3/2)-401/2750*(-2*x+1)^(1/2))/(-10*x-6)^2-33069/103984375*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2059,1,75,95,0.013000," ","int((3*x+2)^5/(5*x+3)^3/(-2*x+1)^(1/2),x)","-\frac{22113 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{20796875}-\frac{243 \left(-2 x +1\right)^{\frac{5}{2}}}{2500}+\frac{513 \left(-2 x +1\right)^{\frac{3}{2}}}{625}-\frac{39393 \sqrt{-2 x +1}}{12500}+\frac{\frac{333 \left(-2 x +1\right)^{\frac{3}{2}}}{75625}-\frac{67 \sqrt{-2 x +1}}{6875}}{\left(-10 x -6\right)^{2}}"," ",0,"-243/2500*(-2*x+1)^(5/2)+513/625*(-2*x+1)^(3/2)-39393/12500*(-2*x+1)^(1/2)+4/125*(333/2420*(-2*x+1)^(3/2)-67/220*(-2*x+1)^(1/2))/(-10*x-6)^2-22113/20796875*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2060,1,66,79,0.013000," ","int((3*x+2)^4/(5*x+3)^3/(-2*x+1)^(1/2),x)","-\frac{2667 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{831875}+\frac{27 \left(-2 x +1\right)^{\frac{3}{2}}}{250}-\frac{1107 \sqrt{-2 x +1}}{1250}+\frac{\frac{267 \left(-2 x +1\right)^{\frac{3}{2}}}{15125}-\frac{269 \sqrt{-2 x +1}}{6875}}{\left(-10 x -6\right)^{2}}"," ",0,"27/250*(-2*x+1)^(3/2)-1107/1250*(-2*x+1)^(1/2)+4/25*(267/2420*(-2*x+1)^(3/2)-269/1100*(-2*x+1)^(1/2))/(-10*x-6)^2-2667/831875*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2061,1,57,63,0.012000," ","int((3*x+2)^3/(5*x+3)^3/(-2*x+1)^(1/2),x)","-\frac{1347 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{166375}-\frac{27 \sqrt{-2 x +1}}{125}+\frac{\frac{201 \left(-2 x +1\right)^{\frac{3}{2}}}{3025}-\frac{203 \sqrt{-2 x +1}}{1375}}{\left(-10 x -6\right)^{2}}"," ",0,"-27/125*(-2*x+1)^(1/2)+2/5*(201/1210*(-2*x+1)^(3/2)-203/550*(-2*x+1)^(1/2))/(-10*x-6)^2-1347/166375*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2062,1,48,51,0.012000," ","int((3*x+2)^2/(5*x+3)^3/(-2*x+1)^(1/2),x)","-\frac{2313 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{166375}+\frac{\frac{27 \left(-2 x +1\right)^{\frac{3}{2}}}{121}-\frac{137 \sqrt{-2 x +1}}{275}}{\left(-10 x -6\right)^{2}}"," ",0,"50*(27/6050*(-2*x+1)^(3/2)-137/13750*(-2*x+1)^(1/2))/(-10*x-6)^2-2313/166375*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2063,1,48,51,0.011000," ","int((3*x+2)/(5*x+3)^3/(-2*x+1)^(1/2),x)","-\frac{69 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{33275}-\frac{100 \left(-\frac{69 \left(-2 x +1\right)^{\frac{3}{2}}}{12100}+\frac{71 \sqrt{-2 x +1}}{5500}\right)}{\left(-10 x -6\right)^{2}}"," ",0,"-100*(-69/12100*(-2*x+1)^(3/2)+71/5500*(-2*x+1)^(1/2))/(-10*x-6)^2-69/33275*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2064,1,52,51,0.008000," ","int(1/(5*x+3)^3/(-2*x+1)^(1/2),x)","-\frac{3 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{6655}-\frac{2 \sqrt{-2 x +1}}{11 \left(-10 x -6\right)^{2}}+\frac{3 \sqrt{-2 x +1}}{121 \left(-10 x -6\right)}"," ",0,"-2/11*(-2*x+1)^(1/2)/(-10*x-6)^2+3/121*(-2*x+1)^(1/2)/(-10*x-6)-3/6655*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2065,1,66,69,0.013000," ","int(1/(3*x+2)/(5*x+3)^3/(-2*x+1)^(1/2),x)","\frac{18 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{7}-\frac{2115 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1331}+\frac{-\frac{1575 \left(-2 x +1\right)^{\frac{3}{2}}}{121}+\frac{305 \sqrt{-2 x +1}}{11}}{\left(-10 x -6\right)^{2}}"," ",0,"250*(-63/1210*(-2*x+1)^(3/2)+61/550*(-2*x+1)^(1/2))/(-10*x-6)^2-2115/1331*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+18/7*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2066,1,82,92,0.015000," ","int(1/(3*x+2)^2/(5*x+3)^3/(-2*x+1)^(1/2),x)","\frac{1908 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{49}-\frac{32025 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1331}+\frac{-\frac{16125 \left(-2 x +1\right)^{\frac{3}{2}}}{121}+\frac{3175 \sqrt{-2 x +1}}{11}}{\left(-10 x -6\right)^{2}}-\frac{18 \sqrt{-2 x +1}}{7 \left(-2 x -\frac{4}{3}\right)}"," ",0,"1250*(-129/1210*(-2*x+1)^(3/2)+127/550*(-2*x+1)^(1/2))/(-10*x-6)^2-32025/1331*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-18/7*(-2*x+1)^(1/2)/(-2*x-4/3)+1908/49*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2067,1,94,115,0.013000," ","int(1/(3*x+2)^3/(5*x+3)^3/(-2*x+1)^(1/2),x)","\frac{134217 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{343}-\frac{321825 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1331}+\frac{-\frac{121875 \left(-2 x +1\right)^{\frac{3}{2}}}{121}+\frac{24125 \sqrt{-2 x +1}}{11}}{\left(-10 x -6\right)^{2}}-\frac{972 \left(\frac{71 \left(-2 x +1\right)^{\frac{3}{2}}}{196}-\frac{215 \sqrt{-2 x +1}}{252}\right)}{\left(-6 x -4\right)^{2}}"," ",0,"62500*(-39/2420*(-2*x+1)^(3/2)+193/5500*(-2*x+1)^(1/2))/(-10*x-6)^2-321825/1331*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-972*(71/196*(-2*x+1)^(3/2)-215/252*(-2*x+1)^(1/2))/(-6*x-4)^2+134217/343*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2068,1,103,138,0.014000," ","int(1/(3*x+2)^4/(5*x+3)^3/(-2*x+1)^(1/2),x)","\frac{7852680 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{2401}-\frac{2689875 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1331}+\frac{-\frac{815625 \left(-2 x +1\right)^{\frac{3}{2}}}{121}+\frac{161875 \sqrt{-2 x +1}}{11}}{\left(-10 x -6\right)^{2}}-\frac{2916 \left(\frac{3755 \left(-2 x +1\right)^{\frac{5}{2}}}{1029}-\frac{22690 \left(-2 x +1\right)^{\frac{3}{2}}}{1323}+\frac{3809 \sqrt{-2 x +1}}{189}\right)}{\left(-6 x -4\right)^{3}}"," ",0,"312500*(-261/12100*(-2*x+1)^(3/2)+259/5500*(-2*x+1)^(1/2))/(-10*x-6)^2-2689875/1331*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-2916*(3755/1029*(-2*x+1)^(5/2)-22690/1323*(-2*x+1)^(3/2)+3809/189*(-2*x+1)^(1/2))/(-6*x-4)^3+7852680/2401*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2069,1,50,82,0.004000," ","int((3*x+2)^7*(5*x+3)/(-2*x+1)^(3/2),x)","-\frac{104247 x^{8}+697653 x^{7}+2168775 x^{6}+4220622 x^{5}+5949090 x^{4}+6921432 x^{3}+8106616 x^{2}+16881328 x -16936240}{143 \sqrt{-2 x +1}}"," ",0,"-1/143*(104247*x^8+697653*x^7+2168775*x^6+4220622*x^5+5949090*x^4+6921432*x^3+8106616*x^2+16881328*x-16936240)/(-2*x+1)^(1/2)","A"
2070,1,45,73,0.005000," ","int((3*x+2)^6*(5*x+3)/(-2*x+1)^(3/2),x)","-\frac{40095 x^{7}+243486 x^{6}+687420 x^{5}+1230120 x^{4}+1663632 x^{3}+2109792 x^{2}+4512448 x -4539904}{143 \sqrt{-2 x +1}}"," ",0,"-1/143*(40095*x^7+243486*x^6+687420*x^5+1230120*x^4+1663632*x^3+2109792*x^2+4512448*x-4539904)/(-2*x+1)^(1/2)","A"
2071,1,40,64,0.005000," ","int((3*x+2)^5*(5*x+3)/(-2*x+1)^(3/2),x)","-\frac{1215 x^{6}+6651 x^{5}+17055 x^{4}+28692 x^{3}+41012 x^{2}+91704 x -92760}{11 \sqrt{-2 x +1}}"," ",0,"-1/11*(1215*x^6+6651*x^5+17055*x^4+28692*x^3+41012*x^2+91704*x-92760)/(-2*x+1)^(1/2)","A"
2072,1,35,55,0.003000," ","int((3*x+2)^4*(5*x+3)/(-2*x+1)^(3/2),x)","-\frac{1575 x^{5}+7740 x^{4}+18288 x^{3}+31448 x^{2}+75776 x -77456}{35 \sqrt{-2 x +1}}"," ",0,"-1/35*(1575*x^5+7740*x^4+18288*x^3+31448*x^2+75776*x-77456)/(-2*x+1)^(1/2)","A"
2073,1,30,46,0.005000," ","int((3*x+2)^3*(5*x+3)/(-2*x+1)^(3/2),x)","-\frac{675 x^{4}+2997 x^{3}+6987 x^{2}+19154 x -19994}{35 \sqrt{-2 x +1}}"," ",0,"-1/35*(675*x^4+2997*x^3+6987*x^2+19154*x-19994)/(-2*x+1)^(1/2)","A"
2074,1,25,37,0.003000," ","int((3*x+2)^2*(5*x+3)/(-2*x+1)^(3/2),x)","-\frac{9 x^{3}+38 x^{2}+132 x -144}{\sqrt{-2 x +1}}"," ",0,"-(9*x^3+38*x^2+132*x-144)/(-2*x+1)^(1/2)","A"
2075,1,20,28,0.003000," ","int((3*x+2)*(5*x+3)/(-2*x+1)^(3/2),x)","-\frac{5 x^{2}+29 x -35}{\sqrt{-2 x +1}}"," ",0,"-(5*x^2+29*x-35)/(-2*x+1)^(1/2)","A"
2076,1,15,19,0.002000," ","int((5*x+3)/(-2*x+1)^(3/2),x)","-\frac{5 x -8}{\sqrt{-2 x +1}}"," ",0,"-(5*x-8)/(-2*x+1)^(1/2)","A"
2077,1,29,28,0.007000," ","int((5*x+3)/(-2*x+1)^(3/2)/(3*x+2),x)","\frac{2 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{147}+\frac{11}{7 \sqrt{-2 x +1}}"," ",0,"2/147*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)+11/7/(-2*x+1)^(1/2)","A"
2078,1,45,44,0.013000," ","int((5*x+3)/(-2*x+1)^(3/2)/(3*x+2)^2,x)","-\frac{64 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{1029}+\frac{22}{49 \sqrt{-2 x +1}}-\frac{2 \sqrt{-2 x +1}}{147 \left(-2 x -\frac{4}{3}\right)}"," ",0,"22/49/(-2*x+1)^(1/2)-2/147*(-2*x+1)^(1/2)/(-2*x-4/3)-64/1029*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2079,1,57,60,0.013000," ","int((5*x+3)/(-2*x+1)^(3/2)/(3*x+2)^3,x)","-\frac{65 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{2401}+\frac{44}{343 \sqrt{-2 x +1}}+\frac{\frac{27 \left(-2 x +1\right)^{\frac{3}{2}}}{49}-\frac{61 \sqrt{-2 x +1}}{49}}{\left(-6 x -4\right)^{2}}"," ",0,"44/343/(-2*x+1)^(1/2)+36/343*(21/4*(-2*x+1)^(3/2)-427/36*(-2*x+1)^(1/2))/(-6*x-4)^2-65/2401*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2080,1,66,76,0.013000," ","int((5*x+3)/(-2*x+1)^(3/2)/(3*x+2)^4,x)","-\frac{10 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{1029}+\frac{88}{2401 \sqrt{-2 x +1}}+\frac{\frac{2034 \left(-2 x +1\right)^{\frac{5}{2}}}{2401}-\frac{1544 \left(-2 x +1\right)^{\frac{3}{2}}}{343}+\frac{286 \sqrt{-2 x +1}}{49}}{\left(-6 x -4\right)^{3}}"," ",0,"88/2401/(-2*x+1)^(1/2)+216/2401*(113/12*(-2*x+1)^(5/2)-1351/27*(-2*x+1)^(3/2)+7007/108*(-2*x+1)^(1/2))/(-6*x-4)^3-10/1029*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2081,1,75,92,0.016000," ","int((5*x+3)/(-2*x+1)^(3/2)/(3*x+2)^5,x)","-\frac{655 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{201684}+\frac{176}{16807 \sqrt{-2 x +1}}+\frac{\frac{66771 \left(-2 x +1\right)^{\frac{7}{2}}}{67228}-\frac{75273 \left(-2 x +1\right)^{\frac{5}{2}}}{9604}+\frac{28925 \left(-2 x +1\right)^{\frac{3}{2}}}{1372}-\frac{3735 \sqrt{-2 x +1}}{196}}{\left(-6 x -4\right)^{4}}"," ",0,"176/16807/(-2*x+1)^(1/2)+1296/16807*(2473/192*(-2*x+1)^(7/2)-175637/1728*(-2*x+1)^(5/2)+1417325/5184*(-2*x+1)^(3/2)-142345/576*(-2*x+1)^(1/2))/(-6*x-4)^4-655/201684*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2082,1,84,108,0.015000," ","int((5*x+3)/(-2*x+1)^(3/2)/(3*x+2)^6,x)","-\frac{123 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{117649}+\frac{352}{117649 \sqrt{-2 x +1}}+\frac{\frac{123687 \left(-2 x +1\right)^{\frac{9}{2}}}{117649}-\frac{182898 \left(-2 x +1\right)^{\frac{7}{2}}}{16807}+\frac{516672 \left(-2 x +1\right)^{\frac{5}{2}}}{12005}-\frac{26622 \left(-2 x +1\right)^{\frac{3}{2}}}{343}+\frac{2633 \sqrt{-2 x +1}}{49}}{\left(-6 x -4\right)^{5}}"," ",0,"352/117649/(-2*x+1)^(1/2)+7776/117649*(509/32*(-2*x+1)^(9/2)-7903/48*(-2*x+1)^(7/2)+29302/45*(-2*x+1)^(5/2)-169099/144*(-2*x+1)^(3/2)+6321833/7776*(-2*x+1)^(1/2))/(-6*x-4)^5-123/117649*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2083,1,45,73,0.006000," ","int((3*x+2)^5*(5*x+3)^2/(-2*x+1)^(3/2),x)","-\frac{200475 x^{7}+1201635 x^{6}+3350637 x^{5}+5928885 x^{4}+7945164 x^{3}+10015804 x^{2}+21370088 x -21493640}{429 \sqrt{-2 x +1}}"," ",0,"-1/429*(200475*x^7+1201635*x^6+3350637*x^5+5928885*x^4+7945164*x^3+10015804*x^2+21370088*x-21493640)/(-2*x+1)^(1/2)","A"
2084,1,40,64,0.005000," ","int((3*x+2)^4*(5*x+3)^2/(-2*x+1)^(3/2),x)","-\frac{212625 x^{6}+1146600 x^{5}+2899485 x^{4}+4819932 x^{3}+6831172 x^{2}+15214664 x -15380984}{1155 \sqrt{-2 x +1}}"," ",0,"-1/1155*(212625*x^6+1146600*x^5+2899485*x^4+4819932*x^3+6831172*x^2+15214664*x-15380984)/(-2*x+1)^(1/2)","A"
2085,1,35,55,0.005000," ","int((3*x+2)^3*(5*x+3)^2/(-2*x+1)^(3/2),x)","-\frac{7875 x^{5}+38025 x^{4}+88443 x^{3}+150253 x^{2}+359726 x -367286}{105 \sqrt{-2 x +1}}"," ",0,"-1/105*(7875*x^5+38025*x^4+88443*x^3+150253*x^2+359726*x-367286)/(-2*x+1)^(1/2)","A"
2086,1,30,46,0.002000," ","int((3*x+2)^2*(5*x+3)^2/(-2*x+1)^(3/2),x)","-\frac{675 x^{4}+2934 x^{3}+6721 x^{2}+18230 x -18986}{21 \sqrt{-2 x +1}}"," ",0,"-1/21*(675*x^4+2934*x^3+6721*x^2+18230*x-18986)/(-2*x+1)^(1/2)","A"
2087,1,25,37,0.004000," ","int((3*x+2)*(5*x+3)^2/(-2*x+1)^(3/2),x)","-\frac{45 x^{3}+185 x^{2}+631 x -685}{3 \sqrt{-2 x +1}}"," ",0,"-1/3*(45*x^3+185*x^2+631*x-685)/(-2*x+1)^(1/2)","A"
2088,1,20,28,0.003000," ","int((5*x+3)^2/(-2*x+1)^(3/2),x)","-\frac{25 x^{2}+140 x -167}{3 \sqrt{-2 x +1}}"," ",0,"-1/3*(25*x^2+140*x-167)/(-2*x+1)^(1/2)","A"
2089,1,38,37,0.010000," ","int((5*x+3)^2/(-2*x+1)^(3/2)/(3*x+2),x)","-\frac{2 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{441}+\frac{121}{14 \sqrt{-2 x +1}}+\frac{25 \sqrt{-2 x +1}}{6}"," ",0,"-2/441*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)+121/14/(-2*x+1)^(1/2)+25/6*(-2*x+1)^(1/2)","A"
2090,1,45,51,0.013000," ","int((5*x+3)^2/(-2*x+1)^(3/2)/(3*x+2)^2,x)","\frac{134 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{3087}+\frac{121}{49 \sqrt{-2 x +1}}+\frac{2 \sqrt{-2 x +1}}{441 \left(-2 x -\frac{4}{3}\right)}"," ",0,"121/49/(-2*x+1)^(1/2)+2/441*(-2*x+1)^(1/2)/(-2*x-4/3)+134/3087*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2091,1,57,67,0.015000," ","int((5*x+3)^2/(-2*x+1)^(3/2)/(3*x+2)^3,x)","-\frac{2045 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{21609}+\frac{242}{343 \sqrt{-2 x +1}}+\frac{-\frac{19 \left(-2 x +1\right)^{\frac{3}{2}}}{49}+\frac{131 \sqrt{-2 x +1}}{147}}{\left(-6 x -4\right)^{2}}"," ",0,"242/343/(-2*x+1)^(1/2)+18/343*(-133/18*(-2*x+1)^(3/2)+917/54*(-2*x+1)^(1/2))/(-6*x-4)^2-2045/21609*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2092,1,66,83,0.015000," ","int((5*x+3)^2/(-2*x+1)^(3/2)/(3*x+2)^4,x)","-\frac{905 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{21609}+\frac{484}{2401 \sqrt{-2 x +1}}+\frac{\frac{5937 \left(-2 x +1\right)^{\frac{5}{2}}}{2401}-\frac{11476 \left(-2 x +1\right)^{\frac{3}{2}}}{1029}+\frac{1849 \sqrt{-2 x +1}}{147}}{\left(-6 x -4\right)^{3}}"," ",0,"484/2401/(-2*x+1)^(1/2)+108/2401*(1979/36*(-2*x+1)^(5/2)-20083/81*(-2*x+1)^(3/2)+90601/324*(-2*x+1)^(1/2))/(-6*x-4)^3-905/21609*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2093,1,75,99,0.013000," ","int((5*x+3)^2/(-2*x+1)^(3/2)/(3*x+2)^5,x)","-\frac{9145 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{605052}+\frac{968}{16807 \sqrt{-2 x +1}}+\frac{\frac{262503 \left(-2 x +1\right)^{\frac{7}{2}}}{67228}-\frac{285989 \left(-2 x +1\right)^{\frac{5}{2}}}{9604}+\frac{307355 \left(-2 x +1\right)^{\frac{3}{2}}}{4116}-\frac{36305 \sqrt{-2 x +1}}{588}}{\left(-6 x -4\right)^{4}}"," ",0,"968/16807/(-2*x+1)^(1/2)+648/16807*(29167/288*(-2*x+1)^(7/2)-2001923/2592*(-2*x+1)^(5/2)+15060395/7776*(-2*x+1)^(3/2)-12452615/7776*(-2*x+1)^(1/2))/(-6*x-4)^4-9145/605052*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2094,1,45,73,0.003000," ","int((3*x+2)^4*(5*x+3)^3/(-2*x+1)^(3/2),x)","-\frac{3898125 x^{7}+23058000 x^{6}+63495075 x^{5}+111095730 x^{4}+147527176 x^{3}+184884496 x^{2}+393552752 x -395714912}{5005 \sqrt{-2 x +1}}"," ",0,"-1/5005*(3898125*x^7+23058000*x^6+63495075*x^5+111095730*x^4+147527176*x^3+184884496*x^2+393552752*x-395714912)/(-2*x+1)^(1/2)","A"
2095,1,40,64,0.003000," ","int((3*x+2)^3*(5*x+3)^3/(-2*x+1)^(3/2),x)","-\frac{118125 x^{6}+627375 x^{5}+1564350 x^{4}+2569643 x^{3}+3611453 x^{2}+8012926 x -8096086}{385 \sqrt{-2 x +1}}"," ",0,"-1/385*(118125*x^6+627375*x^5+1564350*x^4+2569643*x^3+3611453*x^2+8012926*x-8096086)/(-2*x+1)^(1/2)","A"
2096,1,35,55,0.005000," ","int((3*x+2)^2*(5*x+3)^3/(-2*x+1)^(3/2),x)","-\frac{875 x^{5}+4150 x^{4}+9501 x^{3}+15948 x^{2}+37944 x -38700}{7 \sqrt{-2 x +1}}"," ",0,"-1/7*(875*x^5+4150*x^4+9501*x^3+15948*x^2+37944*x-38700)/(-2*x+1)^(1/2)","A"
2097,1,30,46,0.004000," ","int((3*x+2)*(5*x+3)^3/(-2*x+1)^(3/2),x)","-\frac{375 x^{4}+1595 x^{3}+3590 x^{2}+9637 x -10015}{7 \sqrt{-2 x +1}}"," ",0,"-1/7*(375*x^4+1595*x^3+3590*x^2+9637*x-10015)/(-2*x+1)^(1/2)","A"
2098,1,25,37,0.003000," ","int((5*x+3)^3/(-2*x+1)^(3/2),x)","-\frac{25 x^{3}+100 x^{2}+335 x -362}{\sqrt{-2 x +1}}"," ",0,"-(25*x^3+100*x^2+335*x-362)/(-2*x+1)^(1/2)","A"
2099,1,47,46,0.009000," ","int((5*x+3)^3/(-2*x+1)^(3/2)/(3*x+2),x)","\frac{2 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{1323}-\frac{125 \left(-2 x +1\right)^{\frac{3}{2}}}{36}+\frac{1331}{28 \sqrt{-2 x +1}}+\frac{400 \sqrt{-2 x +1}}{9}"," ",0,"-125/36*(-2*x+1)^(3/2)+2/1323*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)+1331/28/(-2*x+1)^(1/2)+400/9*(-2*x+1)^(1/2)","A"
2100,1,54,63,0.014000," ","int((5*x+3)^3/(-2*x+1)^(3/2)/(3*x+2)^2,x)","-\frac{68 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{3087}+\frac{125 \sqrt{-2 x +1}}{18}+\frac{1331}{98 \sqrt{-2 x +1}}-\frac{2 \sqrt{-2 x +1}}{1323 \left(-2 x -\frac{4}{3}\right)}"," ",0,"125/18*(-2*x+1)^(1/2)+1331/98/(-2*x+1)^(1/2)-2/1323*(-2*x+1)^(1/2)/(-2*x-4/3)-68/3087*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2101,1,57,63,0.014000," ","int((5*x+3)^3/(-2*x+1)^(3/2)/(3*x+2)^3,x)","\frac{2245 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{21609}+\frac{1331}{343 \sqrt{-2 x +1}}-\frac{18 \left(-\frac{203 \left(-2 x +1\right)^{\frac{3}{2}}}{54}+\frac{469 \sqrt{-2 x +1}}{54}\right)}{343 \left(-6 x -4\right)^{2}}"," ",0,"1331/343/(-2*x+1)^(1/2)-18/343*(-203/54*(-2*x+1)^(3/2)+469/54*(-2*x+1)^(1/2))/(-6*x-4)^2+2245/21609*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2102,1,66,79,0.015000," ","int((5*x+3)^3/(-2*x+1)^(3/2)/(3*x+2)^4,x)","-\frac{9320 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{64827}+\frac{2662}{2401 \sqrt{-2 x +1}}+\frac{-\frac{6634 \left(-2 x +1\right)^{\frac{5}{2}}}{2401}+\frac{39196 \left(-2 x +1\right)^{\frac{3}{2}}}{3087}-\frac{6434 \sqrt{-2 x +1}}{441}}{\left(-6 x -4\right)^{3}}"," ",0,"2662/2401/(-2*x+1)^(1/2)+54/2401*(-3317/27*(-2*x+1)^(5/2)+137186/243*(-2*x+1)^(3/2)-157633/243*(-2*x+1)^(1/2))/(-6*x-4)^3-9320/64827*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2103,1,75,95,0.014000," ","int((5*x+3)^3/(-2*x+1)^(3/2)/(3*x+2)^5,x)","-\frac{39185 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{605052}+\frac{5324}{16807 \sqrt{-2 x +1}}+\frac{\frac{743679 \left(-2 x +1\right)^{\frac{7}{2}}}{67228}-\frac{717277 \left(-2 x +1\right)^{\frac{5}{2}}}{9604}+\frac{691955 \left(-2 x +1\right)^{\frac{3}{2}}}{4116}-\frac{74185 \sqrt{-2 x +1}}{588}}{\left(-6 x -4\right)^{4}}"," ",0,"5324/16807/(-2*x+1)^(1/2)+324/16807*(82631/144*(-2*x+1)^(7/2)-5020939/1296*(-2*x+1)^(5/2)+33905795/3888*(-2*x+1)^(3/2)-25445455/3888*(-2*x+1)^(1/2))/(-6*x-4)^4-39185/605052*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2104,1,74,73,0.010000," ","int((3*x+2)^6/(-2*x+1)^(3/2)/(5*x+3),x)","-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1890625}-\frac{1997451 \left(-2 x +1\right)^{\frac{3}{2}}}{10000}+\frac{507627 \left(-2 x +1\right)^{\frac{5}{2}}}{10000}-\frac{43011 \left(-2 x +1\right)^{\frac{7}{2}}}{5600}+\frac{81 \left(-2 x +1\right)^{\frac{9}{2}}}{160}+\frac{117649}{352 \sqrt{-2 x +1}}+\frac{70752609 \sqrt{-2 x +1}}{100000}"," ",0,"-1997451/10000*(-2*x+1)^(3/2)+507627/10000*(-2*x+1)^(5/2)-43011/5600*(-2*x+1)^(7/2)+81/160*(-2*x+1)^(9/2)-2/1890625*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+117649/352/(-2*x+1)^(1/2)+70752609/100000*(-2*x+1)^(1/2)","A"
2105,1,65,64,0.010000," ","int((3*x+2)^5/(-2*x+1)^(3/2)/(5*x+3),x)","-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{378125}-\frac{17019 \left(-2 x +1\right)^{\frac{3}{2}}}{500}+\frac{5751 \left(-2 x +1\right)^{\frac{5}{2}}}{1000}-\frac{243 \left(-2 x +1\right)^{\frac{7}{2}}}{560}+\frac{16807}{176 \sqrt{-2 x +1}}+\frac{806121 \sqrt{-2 x +1}}{5000}"," ",0,"-17019/500*(-2*x+1)^(3/2)+5751/1000*(-2*x+1)^(5/2)-243/560*(-2*x+1)^(7/2)-2/378125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+16807/176/(-2*x+1)^(1/2)+806121/5000*(-2*x+1)^(1/2)","A"
2106,1,56,55,0.008000," ","int((3*x+2)^4/(-2*x+1)^(3/2)/(5*x+3),x)","-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{75625}-\frac{963 \left(-2 x +1\right)^{\frac{3}{2}}}{200}+\frac{81 \left(-2 x +1\right)^{\frac{5}{2}}}{200}+\frac{2401}{88 \sqrt{-2 x +1}}+\frac{34371 \sqrt{-2 x +1}}{1000}"," ",0,"-963/200*(-2*x+1)^(3/2)+81/200*(-2*x+1)^(5/2)-2/75625*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+2401/88/(-2*x+1)^(1/2)+34371/1000*(-2*x+1)^(1/2)","A"
2107,1,47,46,0.010000," ","int((3*x+2)^3/(-2*x+1)^(3/2)/(5*x+3),x)","-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{15125}-\frac{9 \left(-2 x +1\right)^{\frac{3}{2}}}{20}+\frac{343}{44 \sqrt{-2 x +1}}+\frac{162 \sqrt{-2 x +1}}{25}"," ",0,"-9/20*(-2*x+1)^(3/2)-2/15125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+343/44/(-2*x+1)^(1/2)+162/25*(-2*x+1)^(1/2)","A"
2108,1,38,37,0.010000," ","int((3*x+2)^2/(-2*x+1)^(3/2)/(5*x+3),x)","-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{3025}+\frac{49}{22 \sqrt{-2 x +1}}+\frac{9 \sqrt{-2 x +1}}{10}"," ",0,"-2/3025*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+49/22/(-2*x+1)^(1/2)+9/10*(-2*x+1)^(1/2)","A"
2109,1,29,28,0.008000," ","int((3*x+2)/(-2*x+1)^(3/2)/(5*x+3),x)","-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{605}+\frac{7}{11 \sqrt{-2 x +1}}"," ",0,"-2/605*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+7/11/(-2*x+1)^(1/2)","A"
2110,1,29,28,0.007000," ","int(1/(-2*x+1)^(3/2)/(5*x+3),x)","-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{121}+\frac{2}{11 \sqrt{-2 x +1}}"," ",0,"-2/121*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+2/11/(-2*x+1)^(1/2)","A"
2111,1,47,46,0.013000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)/(5*x+3),x)","\frac{6 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{49}-\frac{10 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{121}+\frac{4}{77 \sqrt{-2 x +1}}"," ",0,"6/49*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)-10/121*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+4/77/(-2*x+1)^(1/2)","A"
2112,1,63,62,0.014000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^2/(5*x+3),x)","\frac{228 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{343}-\frac{50 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{121}+\frac{8}{539 \sqrt{-2 x +1}}-\frac{6 \sqrt{-2 x +1}}{49 \left(-2 x -\frac{4}{3}\right)}"," ",0,"8/539/(-2*x+1)^(1/2)-50/121*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-6/49*(-2*x+1)^(1/2)/(-2*x-4/3)+228/343*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2113,1,75,78,0.015000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^3/(5*x+3),x)","\frac{8025 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{2401}-\frac{250 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{121}+\frac{16}{3773 \sqrt{-2 x +1}}-\frac{486 \left(\frac{77 \left(-2 x +1\right)^{\frac{3}{2}}}{18}-\frac{553 \sqrt{-2 x +1}}{54}\right)}{343 \left(-6 x -4\right)^{2}}"," ",0,"16/3773/(-2*x+1)^(1/2)-250/121*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-486/343*(77/18*(-2*x+1)^(3/2)-553/54*(-2*x+1)^(1/2))/(-6*x-4)^2+8025/2401*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2114,1,84,94,0.014000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^4/(5*x+3),x)","\frac{40140 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{2401}-\frac{1250 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{121}+\frac{32}{26411 \sqrt{-2 x +1}}-\frac{486 \left(\frac{1357 \left(-2 x +1\right)^{\frac{5}{2}}}{3}-\frac{57806 \left(-2 x +1\right)^{\frac{3}{2}}}{27}+\frac{68453 \sqrt{-2 x +1}}{27}\right)}{2401 \left(-6 x -4\right)^{3}}"," ",0,"32/26411/(-2*x+1)^(1/2)-1250/121*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-486/2401*(1357/3*(-2*x+1)^(5/2)-57806/27*(-2*x+1)^(3/2)+68453/27*(-2*x+1)^(1/2))/(-6*x-4)^3+40140/2401*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2115,1,81,111,0.016000," ","int((3*x+2)^6/(-2*x+1)^(3/2)/(5*x+3)^2,x)","-\frac{402 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{20796875}-\frac{729 \left(-2 x +1\right)^{\frac{7}{2}}}{2800}+\frac{2187 \left(-2 x +1\right)^{\frac{5}{2}}}{625}-\frac{105057 \left(-2 x +1\right)^{\frac{3}{2}}}{5000}+\frac{315684 \sqrt{-2 x +1}}{3125}+\frac{117649}{1936 \sqrt{-2 x +1}}+\frac{2 \sqrt{-2 x +1}}{1890625 \left(-2 x -\frac{6}{5}\right)}"," ",0,"-729/2800*(-2*x+1)^(7/2)+2187/625*(-2*x+1)^(5/2)-105057/5000*(-2*x+1)^(3/2)+315684/3125*(-2*x+1)^(1/2)+117649/1936/(-2*x+1)^(1/2)+2/1890625*(-2*x+1)^(1/2)/(-2*x-6/5)-402/20796875*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2116,1,72,95,0.014000," ","int((3*x+2)^5/(-2*x+1)^(3/2)/(5*x+3)^2,x)","-\frac{336 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{4159375}+\frac{243 \left(-2 x +1\right)^{\frac{5}{2}}}{1000}-\frac{2943 \left(-2 x +1\right)^{\frac{3}{2}}}{1000}+\frac{107109 \sqrt{-2 x +1}}{5000}+\frac{16807}{968 \sqrt{-2 x +1}}+\frac{2 \sqrt{-2 x +1}}{378125 \left(-2 x -\frac{6}{5}\right)}"," ",0,"243/1000*(-2*x+1)^(5/2)-2943/1000*(-2*x+1)^(3/2)+107109/5000*(-2*x+1)^(1/2)+16807/968/(-2*x+1)^(1/2)+2/378125*(-2*x+1)^(1/2)/(-2*x-6/5)-336/4159375*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2117,1,63,79,0.014000," ","int((3*x+2)^4/(-2*x+1)^(3/2)/(5*x+3)^2,x)","-\frac{54 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{166375}-\frac{27 \left(-2 x +1\right)^{\frac{3}{2}}}{100}+\frac{999 \sqrt{-2 x +1}}{250}+\frac{2401}{484 \sqrt{-2 x +1}}+\frac{2 \sqrt{-2 x +1}}{75625 \left(-2 x -\frac{6}{5}\right)}"," ",0,"-27/100*(-2*x+1)^(3/2)+999/250*(-2*x+1)^(1/2)+2401/484/(-2*x+1)^(1/2)+2/75625*(-2*x+1)^(1/2)/(-2*x-6/5)-54/166375*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2118,1,54,63,0.013000," ","int((3*x+2)^3/(-2*x+1)^(3/2)/(5*x+3)^2,x)","-\frac{204 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{166375}+\frac{27 \sqrt{-2 x +1}}{50}+\frac{343}{242 \sqrt{-2 x +1}}+\frac{2 \sqrt{-2 x +1}}{15125 \left(-2 x -\frac{6}{5}\right)}"," ",0,"27/50*(-2*x+1)^(1/2)+343/242/(-2*x+1)^(1/2)+2/15125*(-2*x+1)^(1/2)/(-2*x-6/5)-204/166375*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2119,1,45,51,0.013000," ","int((3*x+2)^2/(-2*x+1)^(3/2)/(5*x+3)^2,x)","-\frac{138 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{33275}+\frac{49}{121 \sqrt{-2 x +1}}+\frac{2 \sqrt{-2 x +1}}{3025 \left(-2 x -\frac{6}{5}\right)}"," ",0,"49/121/(-2*x+1)^(1/2)+2/3025*(-2*x+1)^(1/2)/(-2*x-6/5)-138/33275*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2120,1,45,44,0.012000," ","int((3*x+2)/(-2*x+1)^(3/2)/(5*x+3)^2,x)","-\frac{72 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{6655}+\frac{14}{121 \sqrt{-2 x +1}}+\frac{2 \sqrt{-2 x +1}}{605 \left(-2 x -\frac{6}{5}\right)}"," ",0,"14/121/(-2*x+1)^(1/2)+2/605*(-2*x+1)^(1/2)/(-2*x-6/5)-72/6655*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2121,1,45,44,0.011000," ","int(1/(-2*x+1)^(3/2)/(5*x+3)^2,x)","-\frac{6 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1331}+\frac{4}{121 \sqrt{-2 x +1}}+\frac{2 \sqrt{-2 x +1}}{121 \left(-2 x -\frac{6}{5}\right)}"," ",0,"4/121/(-2*x+1)^(1/2)+2/121*(-2*x+1)^(1/2)/(-2*x-6/5)-6/1331*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2122,1,63,62,0.014000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)/(5*x+3)^2,x)","-\frac{18 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{49}+\frac{300 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1331}+\frac{8}{847 \sqrt{-2 x +1}}+\frac{10 \sqrt{-2 x +1}}{121 \left(-2 x -\frac{6}{5}\right)}"," ",0,"8/847/(-2*x+1)^(1/2)+10/121*(-2*x+1)^(1/2)/(-2*x-6/5)+300/1331*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-18/49*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2123,1,79,85,0.017000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^2/(5*x+3)^2,x)","-\frac{1314 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{343}+\frac{3150 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1331}+\frac{16}{5929 \sqrt{-2 x +1}}+\frac{50 \sqrt{-2 x +1}}{121 \left(-2 x -\frac{6}{5}\right)}+\frac{18 \sqrt{-2 x +1}}{49 \left(-2 x -\frac{4}{3}\right)}"," ",0,"16/5929/(-2*x+1)^(1/2)+50/121*(-2*x+1)^(1/2)/(-2*x-6/5)+3150/1331*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+18/49*(-2*x+1)^(1/2)/(-2*x-4/3)-1314/343*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2124,1,91,108,0.016000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^3/(5*x+3)^2,x)","-\frac{70065 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{2401}+\frac{24000 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1331}+\frac{32}{41503 \sqrt{-2 x +1}}+\frac{250 \sqrt{-2 x +1}}{121 \left(-2 x -\frac{6}{5}\right)}+\frac{\frac{243 \left(-2 x +1\right)^{\frac{3}{2}}}{7}-\frac{4023 \sqrt{-2 x +1}}{49}}{\left(-6 x -4\right)^{2}}"," ",0,"32/41503/(-2*x+1)^(1/2)+250/121*(-2*x+1)^(1/2)/(-2*x-6/5)+24000/1331*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+486/343*(49/2*(-2*x+1)^(3/2)-1043/18*(-2*x+1)^(1/2))/(-6*x-4)^2-70065/2401*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2125,1,84,118,0.014000," ","int((3*x+2)^6/(-2*x+1)^(3/2)/(5*x+3)^3,x)","-\frac{33873 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{228765625}+\frac{729 \left(-2 x +1\right)^{\frac{5}{2}}}{5000}-\frac{8991 \left(-2 x +1\right)^{\frac{3}{2}}}{5000}+\frac{333639 \sqrt{-2 x +1}}{25000}+\frac{117649}{10648 \sqrt{-2 x +1}}+\frac{\frac{403 \left(-2 x +1\right)^{\frac{3}{2}}}{831875}-\frac{81 \sqrt{-2 x +1}}{75625}}{\left(-10 x -6\right)^{2}}"," ",0,"729/5000*(-2*x+1)^(5/2)-8991/5000*(-2*x+1)^(3/2)+333639/25000*(-2*x+1)^(1/2)+117649/10648/(-2*x+1)^(1/2)+2/166375*(403/10*(-2*x+1)^(3/2)-891/10*(-2*x+1)^(1/2))/(-10*x-6)^2-33873/228765625*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2126,1,75,102,0.016000," ","int((3*x+2)^5/(-2*x+1)^(3/2)/(5*x+3)^3,x)","-\frac{4557 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{9150625}-\frac{81 \left(-2 x +1\right)^{\frac{3}{2}}}{500}+\frac{1539 \sqrt{-2 x +1}}{625}+\frac{16807}{5324 \sqrt{-2 x +1}}+\frac{\frac{337 \left(-2 x +1\right)^{\frac{3}{2}}}{166375}-\frac{339 \sqrt{-2 x +1}}{75625}}{\left(-10 x -6\right)^{2}}"," ",0,"-81/500*(-2*x+1)^(3/2)+1539/625*(-2*x+1)^(1/2)+16807/5324/(-2*x+1)^(1/2)+4/33275*(337/20*(-2*x+1)^(3/2)-3729/100*(-2*x+1)^(1/2))/(-10*x-6)^2-4557/9150625*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2127,1,66,86,0.016000," ","int((3*x+2)^4/(-2*x+1)^(3/2)/(5*x+3)^3,x)","-\frac{111 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{73205}+\frac{81 \sqrt{-2 x +1}}{250}+\frac{2401}{2662 \sqrt{-2 x +1}}+\frac{\frac{271 \left(-2 x +1\right)^{\frac{3}{2}}}{33275}-\frac{273 \sqrt{-2 x +1}}{15125}}{\left(-10 x -6\right)^{2}}"," ",0,"81/250*(-2*x+1)^(1/2)+2401/2662/(-2*x+1)^(1/2)+4/6655*(271/20*(-2*x+1)^(3/2)-3003/100*(-2*x+1)^(1/2))/(-10*x-6)^2-111/73205*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2128,1,57,63,0.015000," ","int((3*x+2)^3/(-2*x+1)^(3/2)/(5*x+3)^3,x)","-\frac{7143 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1830125}+\frac{343}{1331 \sqrt{-2 x +1}}+\frac{\frac{41 \left(-2 x +1\right)^{\frac{3}{2}}}{1331}-\frac{207 \sqrt{-2 x +1}}{3025}}{\left(-10 x -6\right)^{2}}"," ",0,"343/1331/(-2*x+1)^(1/2)+50/1331*(41/50*(-2*x+1)^(3/2)-2277/1250*(-2*x+1)^(1/2))/(-10*x-6)^2-7143/1830125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2129,1,57,67,0.014000," ","int((3*x+2)^2/(-2*x+1)^(3/2)/(5*x+3)^3,x)","-\frac{2589 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{366025}+\frac{98}{1331 \sqrt{-2 x +1}}+\frac{\frac{139 \left(-2 x +1\right)^{\frac{3}{2}}}{1331}-\frac{141 \sqrt{-2 x +1}}{605}}{\left(-10 x -6\right)^{2}}"," ",0,"98/1331/(-2*x+1)^(1/2)+50/1331*(139/50*(-2*x+1)^(3/2)-1551/250*(-2*x+1)^(1/2))/(-10*x-6)^2-2589/366025*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2130,1,57,60,0.013000," ","int((3*x+2)/(-2*x+1)^(3/2)/(5*x+3)^3,x)","-\frac{213 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{73205}+\frac{28}{1331 \sqrt{-2 x +1}}+\frac{\frac{365 \left(-2 x +1\right)^{\frac{3}{2}}}{1331}-\frac{75 \sqrt{-2 x +1}}{121}}{\left(-10 x -6\right)^{2}}"," ",0,"28/1331/(-2*x+1)^(1/2)+100/1331*(73/20*(-2*x+1)^(3/2)-33/4*(-2*x+1)^(1/2))/(-10*x-6)^2-213/73205*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2131,1,57,60,0.010000," ","int(1/(-2*x+1)^(3/2)/(5*x+3)^3,x)","-\frac{15 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{14641}+\frac{8}{1331 \sqrt{-2 x +1}}+\frac{\frac{175 \left(-2 x +1\right)^{\frac{3}{2}}}{1331}-\frac{45 \sqrt{-2 x +1}}{121}}{\left(-10 x -6\right)^{2}}"," ",0,"8/1331/(-2*x+1)^(1/2)+1000/1331*(7/40*(-2*x+1)^(3/2)-99/200*(-2*x+1)^(1/2))/(-10*x-6)^2-15/14641*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2132,1,75,78,0.013000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)/(5*x+3)^3,x)","\frac{54 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{49}-\frac{9975 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{14641}+\frac{16}{9317 \sqrt{-2 x +1}}+\frac{-\frac{7375 \left(-2 x +1\right)^{\frac{3}{2}}}{1331}+\frac{1425 \sqrt{-2 x +1}}{121}}{\left(-10 x -6\right)^{2}}"," ",0,"16/9317/(-2*x+1)^(1/2)+1250/1331*(-59/10*(-2*x+1)^(3/2)+627/50*(-2*x+1)^(1/2))/(-10*x-6)^2-9975/14641*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+54/49*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2133,1,91,101,0.016000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^2/(5*x+3)^3,x)","\frac{5832 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{343}-\frac{153825 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{14641}+\frac{32}{65219 \sqrt{-2 x +1}}+\frac{-\frac{78125 \left(-2 x +1\right)^{\frac{3}{2}}}{1331}+\frac{15375 \sqrt{-2 x +1}}{121}}{\left(-10 x -6\right)^{2}}-\frac{54 \sqrt{-2 x +1}}{49 \left(-2 x -\frac{4}{3}\right)}"," ",0,"32/65219/(-2*x+1)^(1/2)+31250/1331*(-5/2*(-2*x+1)^(3/2)+1353/250*(-2*x+1)^(1/2))/(-10*x-6)^2-153825/14641*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-54/49*(-2*x+1)^(1/2)/(-2*x-4/3)+5832/343*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2134,1,103,124,0.018000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^3/(5*x+3)^3,x)","\frac{414315 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{2401}-\frac{1561125 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{14641}+\frac{64}{456533 \sqrt{-2 x +1}}+\frac{-\frac{596875 \left(-2 x +1\right)^{\frac{3}{2}}}{1331}+\frac{118125 \sqrt{-2 x +1}}{121}}{\left(-10 x -6\right)^{2}}-\frac{8748 \left(\frac{217 \left(-2 x +1\right)^{\frac{3}{2}}}{36}-\frac{511 \sqrt{-2 x +1}}{36}\right)}{343 \left(-6 x -4\right)^{2}}"," ",0,"64/456533/(-2*x+1)^(1/2)+312500/1331*(-191/100*(-2*x+1)^(3/2)+2079/500*(-2*x+1)^(1/2))/(-10*x-6)^2-1561125/14641*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-8748/343*(217/36*(-2*x+1)^(3/2)-511/36*(-2*x+1)^(1/2))/(-6*x-4)^2+414315/2401*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2135,1,40,64,0.004000," ","int((3*x+2)^5*(5*x+3)/(-2*x+1)^(5/2),x)","-\frac{2835 x^{6}+16767 x^{5}+49653 x^{4}+114084 x^{3}+412812 x^{2}-844104 x +280696}{21 \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"-1/21*(2835*x^6+16767*x^5+49653*x^4+114084*x^3+412812*x^2-844104*x+280696)/(-2*x+1)^(3/2)","A"
2136,1,35,55,0.004000," ","int((3*x+2)^4*(5*x+3)/(-2*x+1)^(5/2),x)","-\frac{6075 x^{5}+33858 x^{4}+105624 x^{3}+435312 x^{2}-909264 x +301408}{105 \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"-1/105*(6075*x^5+33858*x^4+105624*x^3+435312*x^2-909264*x+301408)/(-2*x+1)^(3/2)","A"
2137,1,30,46,0.005000," ","int((3*x+2)^3*(5*x+3)/(-2*x+1)^(5/2),x)","-\frac{81 x^{4}+459 x^{3}+2403 x^{2}-5250 x +1726}{3 \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"-1/3*(81*x^4+459*x^3+2403*x^2-5250*x+1726)/(-2*x+1)^(3/2)","A"
2138,1,25,37,0.004000," ","int((3*x+2)^2*(5*x+3)/(-2*x+1)^(5/2),x)","-\frac{45 x^{3}+396 x^{2}-960 x +308}{3 \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"-1/3*(45*x^3+396*x^2-960*x+308)/(-2*x+1)^(3/2)","A"
2139,1,20,28,0.003000," ","int((3*x+2)*(5*x+3)/(-2*x+1)^(5/2),x)","-\frac{45 x^{2}-147 x +43}{3 \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"-1/3*(45*x^2-147*x+43)/(-2*x+1)^(3/2)","A"
2140,1,15,19,0.003000," ","int((5*x+3)/(-2*x+1)^(5/2),x)","\frac{15 x -2}{3 \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"1/3*(15*x-2)/(-2*x+1)^(3/2)","A"
2141,1,38,37,0.011000," ","int((5*x+3)/(-2*x+1)^(5/2)/(3*x+2),x)","\frac{2 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{343}+\frac{11}{21 \left(-2 x +1\right)^{\frac{3}{2}}}-\frac{2}{49 \sqrt{-2 x +1}}"," ",0,"11/21/(-2*x+1)^(3/2)+2/343*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)-2/49/(-2*x+1)^(1/2)","A"
2142,1,54,53,0.015000," ","int((5*x+3)/(-2*x+1)^(5/2)/(3*x+2)^2,x)","-\frac{60 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{2401}+\frac{22}{147 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{62}{343 \sqrt{-2 x +1}}-\frac{2 \sqrt{-2 x +1}}{343 \left(-2 x -\frac{4}{3}\right)}"," ",0,"22/147/(-2*x+1)^(3/2)+62/343/(-2*x+1)^(1/2)-2/343*(-2*x+1)^(1/2)/(-2*x-4/3)-60/2401*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2143,1,66,69,0.015000," ","int((5*x+3)/(-2*x+1)^(5/2)/(3*x+2)^3,x)","-\frac{45 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{2401}+\frac{44}{1029 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{256}{2401 \sqrt{-2 x +1}}+\frac{\frac{531 \left(-2 x +1\right)^{\frac{3}{2}}}{2401}-\frac{171 \sqrt{-2 x +1}}{343}}{\left(-6 x -4\right)^{2}}"," ",0,"44/1029/(-2*x+1)^(3/2)+256/2401/(-2*x+1)^(1/2)+324/2401*(59/36*(-2*x+1)^(3/2)-133/36*(-2*x+1)^(1/2))/(-6*x-4)^2-45/2401*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2144,1,75,85,0.016000," ","int((5*x+3)/(-2*x+1)^(5/2)/(3*x+2)^4,x)","-\frac{160 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{16807}+\frac{88}{7203 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{776}{16807 \sqrt{-2 x +1}}+\frac{\frac{9288 \left(-2 x +1\right)^{\frac{5}{2}}}{16807}-\frac{960 \left(-2 x +1\right)^{\frac{3}{2}}}{343}+\frac{1200 \sqrt{-2 x +1}}{343}}{\left(-6 x -4\right)^{3}}"," ",0,"88/7203/(-2*x+1)^(3/2)+776/16807/(-2*x+1)^(1/2)+648/16807*(43/3*(-2*x+1)^(5/2)-1960/27*(-2*x+1)^(3/2)+2450/27*(-2*x+1)^(1/2))/(-6*x-4)^3-160/16807*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2145,1,84,101,0.016000," ","int((5*x+3)/(-2*x+1)^(5/2)/(3*x+2)^5,x)","-\frac{1935 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{470596}+\frac{176}{50421 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{2080}{117649 \sqrt{-2 x +1}}+\frac{\frac{423225 \left(-2 x +1\right)^{\frac{7}{2}}}{470596}-\frac{461403 \left(-2 x +1\right)^{\frac{5}{2}}}{67228}+\frac{169335 \left(-2 x +1\right)^{\frac{3}{2}}}{9604}-\frac{20805 \sqrt{-2 x +1}}{1372}}{\left(-6 x -4\right)^{4}}"," ",0,"176/50421/(-2*x+1)^(3/2)+2080/117649/(-2*x+1)^(1/2)+3888/117649*(5225/192*(-2*x+1)^(7/2)-119623/576*(-2*x+1)^(5/2)+921935/1728*(-2*x+1)^(3/2)-2378705/5184*(-2*x+1)^(1/2))/(-6*x-4)^4-1935/470596*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2146,1,45,73,0.004000," ","int((3*x+2)^5*(5*x+3)^2/(-2*x+1)^(5/2),x)","-\frac{127575 x^{7}+806085 x^{6}+2456001 x^{5}+5121279 x^{4}+9702012 x^{3}+32450916 x^{2}-65622552 x +21852008}{231 \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"-1/231*(127575*x^7+806085*x^6+2456001*x^5+5121279*x^4+9702012*x^3+32450916*x^2-65622552*x+21852008)/(-2*x+1)^(3/2)","A"
2147,1,40,64,0.005000," ","int((3*x+2)^4*(5*x+3)^2/(-2*x+1)^(5/2),x)","-\frac{23625 x^{6}+137700 x^{5}+402489 x^{4}+915492 x^{3}+3294996 x^{2}-6731112 x +2238664}{105 \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"-1/105*(23625*x^6+137700*x^5+402489*x^4+915492*x^3+3294996*x^2-6731112*x+2238664)/(-2*x+1)^(3/2)","A"
2148,1,35,55,0.004000," ","int((3*x+2)^3*(5*x+3)^2/(-2*x+1)^(5/2),x)","-\frac{2025 x^{5}+11097 x^{4}+34137 x^{3}+139497 x^{2}-290838 x +96442}{21 \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"-1/21*(2025*x^5+11097*x^4+34137*x^3+139497*x^2-290838*x+96442)/(-2*x+1)^(3/2)","A"
2149,1,30,46,0.005000," ","int((3*x+2)^2*(5*x+3)^2/(-2*x+1)^(5/2),x)","-\frac{135 x^{4}+750 x^{3}+3873 x^{2}-8430 x +2774}{3 \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"-1/3*(135*x^4+750*x^3+3873*x^2-8430*x+2774)/(-2*x+1)^(3/2)","A"
2150,1,25,37,0.004000," ","int((3*x+2)*(5*x+3)^2/(-2*x+1)^(5/2),x)","-\frac{75 x^{3}+645 x^{2}-1551 x +499}{3 \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"-1/3*(75*x^3+645*x^2-1551*x+499)/(-2*x+1)^(3/2)","A"
2151,1,20,28,0.003000," ","int((5*x+3)^2/(-2*x+1)^(5/2),x)","-\frac{75 x^{2}-240 x +71}{3 \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"-1/3*(75*x^2-240*x+71)/(-2*x+1)^(3/2)","A"
2152,1,38,37,0.012000," ","int((5*x+3)^2/(-2*x+1)^(5/2)/(3*x+2),x)","-\frac{2 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{1029}+\frac{121}{42 \left(-2 x +1\right)^{\frac{3}{2}}}-\frac{407}{98 \sqrt{-2 x +1}}"," ",0,"121/42/(-2*x+1)^(3/2)-2/1029*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)-407/98/(-2*x+1)^(1/2)","A"
2153,1,54,60,0.015000," ","int((5*x+3)^2/(-2*x+1)^(5/2)/(3*x+2)^2,x)","\frac{130 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{7203}+\frac{121}{147 \left(-2 x +1\right)^{\frac{3}{2}}}-\frac{44}{343 \sqrt{-2 x +1}}+\frac{2 \sqrt{-2 x +1}}{1029 \left(-2 x -\frac{4}{3}\right)}"," ",0,"121/147/(-2*x+1)^(3/2)-44/343/(-2*x+1)^(1/2)+2/1029*(-2*x+1)^(1/2)/(-2*x-4/3)+130/7203*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2154,1,66,76,0.014000," ","int((5*x+3)^2/(-2*x+1)^(5/2)/(3*x+2)^3,x)","-\frac{85 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{2401}+\frac{242}{1029 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{638}{2401 \sqrt{-2 x +1}}+\frac{-\frac{387 \left(-2 x +1\right)^{\frac{3}{2}}}{2401}+\frac{127 \sqrt{-2 x +1}}{343}}{\left(-6 x -4\right)^{2}}"," ",0,"242/1029/(-2*x+1)^(3/2)+638/2401/(-2*x+1)^(1/2)+18/2401*(-43/2*(-2*x+1)^(3/2)+889/18*(-2*x+1)^(1/2))/(-6*x-4)^2-85/2401*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2155,1,75,92,0.017000," ","int((5*x+3)^2/(-2*x+1)^(5/2)/(3*x+2)^4,x)","-\frac{1415 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{50421}+\frac{484}{7203 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{2728}{16807 \sqrt{-2 x +1}}+\frac{\frac{15489 \left(-2 x +1\right)^{\frac{5}{2}}}{16807}-\frac{1420 \left(-2 x +1\right)^{\frac{3}{2}}}{343}+\frac{1595 \sqrt{-2 x +1}}{343}}{\left(-6 x -4\right)^{3}}"," ",0,"484/7203/(-2*x+1)^(3/2)+2728/16807/(-2*x+1)^(1/2)+108/16807*(1721/12*(-2*x+1)^(5/2)-17395/27*(-2*x+1)^(3/2)+78155/108*(-2*x+1)^(1/2))/(-6*x-4)^3-1415/50421*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2156,1,84,108,0.015000," ","int((5*x+3)^2/(-2*x+1)^(5/2)/(3*x+2)^5,x)","-\frac{20465 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{1411788}+\frac{968}{50421 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{8360}{117649 \sqrt{-2 x +1}}+\frac{\frac{1159245 \left(-2 x +1\right)^{\frac{7}{2}}}{470596}-\frac{1220439 \left(-2 x +1\right)^{\frac{5}{2}}}{67228}+\frac{425155 \left(-2 x +1\right)^{\frac{3}{2}}}{9604}-\frac{49065 \sqrt{-2 x +1}}{1372}}{\left(-6 x -4\right)^{4}}"," ",0,"968/50421/(-2*x+1)^(3/2)+8360/117649/(-2*x+1)^(1/2)+648/117649*(42935/96*(-2*x+1)^(7/2)-2847691/864*(-2*x+1)^(5/2)+20832595/2592*(-2*x+1)^(3/2)-5609765/864*(-2*x+1)^(1/2))/(-6*x-4)^4-20465/1411788*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2157,1,50,82,0.005000," ","int((3*x+2)^5*(5*x+3)^3/(-2*x+1)^(5/2),x)","-\frac{7016625 x^{8}+47670525 x^{7}+153878760 x^{6}+324478899 x^{5}+540496701 x^{4}+905206628 x^{3}+2892917004 x^{2}-5818266408 x +1938557272}{3003 \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"-1/3003*(7016625*x^8+47670525*x^7+153878760*x^6+324478899*x^5+540496701*x^4+905206628*x^3+2892917004*x^2-5818266408*x+1938557272)/(-2*x+1)^(3/2)","A"
2158,1,45,73,0.005000," ","int((3*x+2)^4*(5*x+3)^3/(-2*x+1)^(5/2),x)","-\frac{1063125 x^{7}+6630750 x^{6}+19961775 x^{5}+41201532 x^{4}+77493296 x^{3}+258342648 x^{2}-522173856 x +173891632}{1155 \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"-1/1155*(1063125*x^7+6630750*x^6+19961775*x^5+41201532*x^4+77493296*x^3+258342648*x^2-522173856*x+173891632)/(-2*x+1)^(3/2)","A"
2159,1,40,64,0.004000," ","int((3*x+2)^3*(5*x+3)^3/(-2*x+1)^(5/2),x)","-\frac{7875 x^{6}+45225 x^{5}+130464 x^{4}+293785 x^{3}+1051833 x^{2}-2146758 x +714074}{21 \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"-1/21*(7875*x^6+45225*x^5+130464*x^4+293785*x^3+1051833*x^2-2146758*x+714074)/(-2*x+1)^(3/2)","A"
2160,1,35,55,0.004000," ","int((3*x+2)^2*(5*x+3)^3/(-2*x+1)^(5/2),x)","-\frac{3375 x^{5}+18180 x^{4}+55145 x^{3}+223458 x^{2}-465060 x +154264}{21 \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"-1/21*(3375*x^5+18180*x^4+55145*x^3+223458*x^2-465060*x+154264)/(-2*x+1)^(3/2)","A"
2161,1,30,46,0.004000," ","int((3*x+2)*(5*x+3)^3/(-2*x+1)^(5/2),x)","-\frac{225 x^{4}+1225 x^{3}+6240 x^{2}-13533 x +4457}{3 \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"-1/3*(225*x^4+1225*x^3+6240*x^2-13533*x+4457)/(-2*x+1)^(3/2)","A"
2162,1,25,37,0.003000," ","int((5*x+3)^3/(-2*x+1)^(5/2),x)","-\frac{125 x^{3}+1050 x^{2}-2505 x +808}{3 \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"-1/3*(125*x^3+1050*x^2-2505*x+808)/(-2*x+1)^(3/2)","A"
2163,1,47,46,0.013000," ","int((5*x+3)^3/(-2*x+1)^(5/2)/(3*x+2),x)","\frac{2 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{3087}+\frac{1331}{84 \left(-2 x +1\right)^{\frac{3}{2}}}-\frac{2178}{49 \sqrt{-2 x +1}}-\frac{125 \sqrt{-2 x +1}}{12}"," ",0,"1331/84/(-2*x+1)^(3/2)+2/3087*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)-2178/49/(-2*x+1)^(1/2)-125/12*(-2*x+1)^(1/2)","A"
2164,1,54,63,0.015000," ","int((5*x+3)^3/(-2*x+1)^(5/2)/(3*x+2)^2,x)","-\frac{200 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{21609}+\frac{1331}{294 \left(-2 x +1\right)^{\frac{3}{2}}}-\frac{4719}{686 \sqrt{-2 x +1}}-\frac{2 \sqrt{-2 x +1}}{3087 \left(-2 x -\frac{4}{3}\right)}"," ",0,"1331/294/(-2*x+1)^(3/2)-4719/686/(-2*x+1)^(1/2)-2/3087*(-2*x+1)^(1/2)/(-2*x-4/3)-200/21609*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2165,1,66,79,0.016000," ","int((5*x+3)^3/(-2*x+1)^(5/2)/(3*x+2)^3,x)","\frac{905 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{21609}+\frac{1331}{1029 \left(-2 x +1\right)^{\frac{3}{2}}}-\frac{726}{2401 \sqrt{-2 x +1}}-\frac{18 \left(-\frac{199 \left(-2 x +1\right)^{\frac{3}{2}}}{18}+\frac{1379 \sqrt{-2 x +1}}{54}\right)}{2401 \left(-6 x -4\right)^{2}}"," ",0,"1331/1029/(-2*x+1)^(3/2)-726/2401/(-2*x+1)^(1/2)-18/2401*(-199/18*(-2*x+1)^(3/2)+1379/54*(-2*x+1)^(1/2))/(-6*x-4)^2+905/21609*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2166,1,75,95,0.016000," ","int((5*x+3)^3/(-2*x+1)^(5/2)/(3*x+2)^4,x)","-\frac{7510 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{151263}+\frac{2662}{7203 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{6534}{16807 \sqrt{-2 x +1}}+\frac{-\frac{18708 \left(-2 x +1\right)^{\frac{5}{2}}}{16807}+\frac{5260 \left(-2 x +1\right)^{\frac{3}{2}}}{1029}-\frac{6040 \sqrt{-2 x +1}}{1029}}{\left(-6 x -4\right)^{3}}"," ",0,"2662/7203/(-2*x+1)^(3/2)+6534/16807/(-2*x+1)^(1/2)+54/16807*(-3118/9*(-2*x+1)^(5/2)+128870/81*(-2*x+1)^(3/2)-147980/81*(-2*x+1)^(1/2))/(-6*x-4)^3-7510/151263*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2167,1,84,111,0.017000," ","int((5*x+3)^3/(-2*x+1)^(5/2)/(3*x+2)^5,x)","-\frac{177635 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{4235364}+\frac{5324}{50421 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{29040}{117649 \sqrt{-2 x +1}}+\frac{\frac{1782045 \left(-2 x +1\right)^{\frac{7}{2}}}{470596}-\frac{1707607 \left(-2 x +1\right)^{\frac{5}{2}}}{67228}+\frac{1636345 \left(-2 x +1\right)^{\frac{3}{2}}}{28812}-\frac{174235 \sqrt{-2 x +1}}{4116}}{\left(-6 x -4\right)^{4}}"," ",0,"5324/50421/(-2*x+1)^(3/2)+29040/117649/(-2*x+1)^(1/2)+324/117649*(198005/144*(-2*x+1)^(7/2)-11953249/1296*(-2*x+1)^(5/2)+80180905/3888*(-2*x+1)^(3/2)-59762605/3888*(-2*x+1)^(1/2))/(-6*x-4)^4-177635/4235364*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2168,1,93,127,0.018000," ","int((5*x+3)^3/(-2*x+1)^(5/2)/(3*x+2)^6,x)","-\frac{163474 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{7411887}+\frac{10648}{352947 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{90024}{823543 \sqrt{-2 x +1}}+\frac{\frac{9020754 \left(-2 x +1\right)^{\frac{9}{2}}}{823543}-\frac{12464124 \left(-2 x +1\right)^{\frac{7}{2}}}{117649}+\frac{4589672 \left(-2 x +1\right)^{\frac{5}{2}}}{12005}-\frac{628196 \left(-2 x +1\right)^{\frac{3}{2}}}{1029}+\frac{53534 \sqrt{-2 x +1}}{147}}{\left(-6 x -4\right)^{5}}"," ",0,"10648/352947/(-2*x+1)^(3/2)+90024/823543/(-2*x+1)^(1/2)+1944/823543*(167051/36*(-2*x+1)^(9/2)-7270739/162*(-2*x+1)^(7/2)+196782187/1215*(-2*x+1)^(5/2)-377074649/1458*(-2*x+1)^(3/2)+449872969/2916*(-2*x+1)^(1/2))/(-6*x-4)^5-163474/7411887*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2169,1,74,73,0.012000," ","int((3*x+2)^6/(-2*x+1)^(5/2)/(5*x+3),x)","-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{4159375}+\frac{117649}{1056 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{169209 \left(-2 x +1\right)^{\frac{3}{2}}}{2000}-\frac{43011 \left(-2 x +1\right)^{\frac{5}{2}}}{4000}+\frac{729 \left(-2 x +1\right)^{\frac{7}{2}}}{1120}-\frac{2739541}{3872 \sqrt{-2 x +1}}-\frac{5992353 \sqrt{-2 x +1}}{10000}"," ",0,"117649/1056/(-2*x+1)^(3/2)+169209/2000*(-2*x+1)^(3/2)-43011/4000*(-2*x+1)^(5/2)+729/1120*(-2*x+1)^(7/2)-2/4159375*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-2739541/3872/(-2*x+1)^(1/2)-5992353/10000*(-2*x+1)^(1/2)","A"
2170,1,65,64,0.012000," ","int((3*x+2)^5/(-2*x+1)^(5/2)/(5*x+3),x)","-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{831875}+\frac{16807}{528 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{1917 \left(-2 x +1\right)^{\frac{3}{2}}}{200}-\frac{243 \left(-2 x +1\right)^{\frac{5}{2}}}{400}-\frac{156065}{968 \sqrt{-2 x +1}}-\frac{51057 \sqrt{-2 x +1}}{500}"," ",0,"16807/528/(-2*x+1)^(3/2)+1917/200*(-2*x+1)^(3/2)-243/400*(-2*x+1)^(5/2)-2/831875*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-156065/968/(-2*x+1)^(1/2)-51057/500*(-2*x+1)^(1/2)","A"
2171,1,56,55,0.011000," ","int((3*x+2)^4/(-2*x+1)^(5/2)/(5*x+3),x)","-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{166375}+\frac{2401}{264 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{27 \left(-2 x +1\right)^{\frac{3}{2}}}{40}-\frac{33271}{968 \sqrt{-2 x +1}}-\frac{2889 \sqrt{-2 x +1}}{200}"," ",0,"2401/264/(-2*x+1)^(3/2)+27/40*(-2*x+1)^(3/2)-2/166375*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-33271/968/(-2*x+1)^(1/2)-2889/200*(-2*x+1)^(1/2)","A"
2172,1,47,46,0.011000," ","int((3*x+2)^3/(-2*x+1)^(5/2)/(5*x+3),x)","-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{33275}+\frac{343}{132 \left(-2 x +1\right)^{\frac{3}{2}}}-\frac{784}{121 \sqrt{-2 x +1}}-\frac{27 \sqrt{-2 x +1}}{20}"," ",0,"343/132/(-2*x+1)^(3/2)-2/33275*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-784/121/(-2*x+1)^(1/2)-27/20*(-2*x+1)^(1/2)","A"
2173,1,38,37,0.011000," ","int((3*x+2)^2/(-2*x+1)^(5/2)/(5*x+3),x)","-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{6655}+\frac{49}{66 \left(-2 x +1\right)^{\frac{3}{2}}}-\frac{217}{242 \sqrt{-2 x +1}}"," ",0,"49/66/(-2*x+1)^(3/2)-2/6655*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-217/242/(-2*x+1)^(1/2)","A"
2174,1,38,37,0.009000," ","int((3*x+2)/(-2*x+1)^(5/2)/(5*x+3),x)","-\frac{2 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1331}+\frac{7}{33 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{2}{121 \sqrt{-2 x +1}}"," ",0,"7/33/(-2*x+1)^(3/2)-2/1331*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+2/121/(-2*x+1)^(1/2)","A"
2175,1,38,37,0.008000," ","int(1/(-2*x+1)^(5/2)/(5*x+3),x)","-\frac{10 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1331}+\frac{2}{33 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{10}{121 \sqrt{-2 x +1}}"," ",0,"2/33/(-2*x+1)^(3/2)-10/1331*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+10/121/(-2*x+1)^(1/2)","A"
2176,1,56,55,0.013000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)/(5*x+3),x)","\frac{18 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{343}-\frac{50 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1331}+\frac{4}{231 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{272}{5929 \sqrt{-2 x +1}}"," ",0,"4/231/(-2*x+1)^(3/2)+18/343*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)-50/1331*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+272/5929/(-2*x+1)^(1/2)","A"
2177,1,72,71,0.016000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)^2/(5*x+3),x)","\frac{720 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{2401}-\frac{250 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1331}+\frac{8}{1617 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{808}{41503 \sqrt{-2 x +1}}-\frac{18 \sqrt{-2 x +1}}{343 \left(-2 x -\frac{4}{3}\right)}"," ",0,"8/1617/(-2*x+1)^(3/2)+808/41503/(-2*x+1)^(1/2)-250/1331*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-18/343*(-2*x+1)^(1/2)/(-2*x-4/3)+720/2401*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2178,1,84,87,0.018000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)^3/(5*x+3),x)","\frac{3645 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{2401}-\frac{1250 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1331}+\frac{16}{11319 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{2144}{290521 \sqrt{-2 x +1}}-\frac{486 \left(\frac{27 \left(-2 x +1\right)^{\frac{3}{2}}}{2}-\frac{581 \sqrt{-2 x +1}}{18}\right)}{2401 \left(-6 x -4\right)^{2}}"," ",0,"16/11319/(-2*x+1)^(3/2)+2144/290521/(-2*x+1)^(1/2)-1250/1331*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-486/2401*(27/2*(-2*x+1)^(3/2)-581/18*(-2*x+1)^(1/2))/(-6*x-4)^2+3645/2401*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2179,1,93,103,0.018000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)^4/(5*x+3),x)","\frac{127710 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{16807}-\frac{6250 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1331}+\frac{32}{79233 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{5344}{2033647 \sqrt{-2 x +1}}-\frac{1458 \left(\frac{1438 \left(-2 x +1\right)^{\frac{5}{2}}}{3}-\frac{61250 \left(-2 x +1\right)^{\frac{3}{2}}}{27}+\frac{72520 \sqrt{-2 x +1}}{27}\right)}{16807 \left(-6 x -4\right)^{3}}"," ",0,"32/79233/(-2*x+1)^(3/2)+5344/2033647/(-2*x+1)^(1/2)-6250/1331*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-1458/16807*(1438/3*(-2*x+1)^(5/2)-61250/27*(-2*x+1)^(3/2)+72520/27*(-2*x+1)^(1/2))/(-6*x-4)^3+127710/16807*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2180,1,81,111,0.016000," ","int((3*x+2)^6/(-2*x+1)^(5/2)/(5*x+3)^2,x)","-\frac{406 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{45753125}-\frac{729 \left(-2 x +1\right)^{\frac{5}{2}}}{2000}+\frac{729 \left(-2 x +1\right)^{\frac{3}{2}}}{125}-\frac{315171 \sqrt{-2 x +1}}{5000}+\frac{117649}{5808 \left(-2 x +1\right)^{\frac{3}{2}}}-\frac{134456}{1331 \sqrt{-2 x +1}}+\frac{2 \sqrt{-2 x +1}}{4159375 \left(-2 x -\frac{6}{5}\right)}"," ",0,"-729/2000*(-2*x+1)^(5/2)+729/125*(-2*x+1)^(3/2)-315171/5000*(-2*x+1)^(1/2)+117649/5808/(-2*x+1)^(3/2)-134456/1331/(-2*x+1)^(1/2)+2/4159375*(-2*x+1)^(1/2)/(-2*x-6/5)-406/45753125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2181,1,72,95,0.017000," ","int((3*x+2)^5/(-2*x+1)^(5/2)/(5*x+3)^2,x)","-\frac{68 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1830125}+\frac{81 \left(-2 x +1\right)^{\frac{3}{2}}}{200}-\frac{8829 \sqrt{-2 x +1}}{1000}+\frac{16807}{2904 \left(-2 x +1\right)^{\frac{3}{2}}}-\frac{228095}{10648 \sqrt{-2 x +1}}+\frac{2 \sqrt{-2 x +1}}{831875 \left(-2 x -\frac{6}{5}\right)}"," ",0,"81/200*(-2*x+1)^(3/2)-8829/1000*(-2*x+1)^(1/2)+16807/2904/(-2*x+1)^(3/2)-228095/10648/(-2*x+1)^(1/2)+2/831875*(-2*x+1)^(1/2)/(-2*x-6/5)-68/1830125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2182,1,63,79,0.015000," ","int((3*x+2)^4/(-2*x+1)^(5/2)/(5*x+3)^2,x)","-\frac{274 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{1830125}-\frac{81 \sqrt{-2 x +1}}{100}+\frac{2401}{1452 \left(-2 x +1\right)^{\frac{3}{2}}}-\frac{10633}{2662 \sqrt{-2 x +1}}+\frac{2 \sqrt{-2 x +1}}{166375 \left(-2 x -\frac{6}{5}\right)}"," ",0,"-81/100*(-2*x+1)^(1/2)+2401/1452/(-2*x+1)^(3/2)-10633/2662/(-2*x+1)^(1/2)+2/166375*(-2*x+1)^(1/2)/(-2*x-6/5)-274/1830125*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2183,1,54,63,0.015000," ","int((3*x+2)^3/(-2*x+1)^(5/2)/(5*x+3)^2,x)","-\frac{208 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{366025}+\frac{343}{726 \left(-2 x +1\right)^{\frac{3}{2}}}-\frac{1421}{2662 \sqrt{-2 x +1}}+\frac{2 \sqrt{-2 x +1}}{33275 \left(-2 x -\frac{6}{5}\right)}"," ",0,"343/726/(-2*x+1)^(3/2)-1421/2662/(-2*x+1)^(1/2)+2/33275*(-2*x+1)^(1/2)/(-2*x-6/5)-208/366025*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2184,1,54,60,0.016000," ","int((3*x+2)^2/(-2*x+1)^(5/2)/(5*x+3)^2,x)","-\frac{142 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{73205}+\frac{49}{363 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{28}{1331 \sqrt{-2 x +1}}+\frac{2 \sqrt{-2 x +1}}{6655 \left(-2 x -\frac{6}{5}\right)}"," ",0,"49/363/(-2*x+1)^(3/2)+28/1331/(-2*x+1)^(1/2)+2/6655*(-2*x+1)^(1/2)/(-2*x-6/5)-142/73205*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2185,1,54,53,0.013000," ","int((3*x+2)/(-2*x+1)^(5/2)/(5*x+3)^2,x)","-\frac{76 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{14641}+\frac{14}{363 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{74}{1331 \sqrt{-2 x +1}}+\frac{2 \sqrt{-2 x +1}}{1331 \left(-2 x -\frac{6}{5}\right)}"," ",0,"14/363/(-2*x+1)^(3/2)+74/1331/(-2*x+1)^(1/2)+2/1331*(-2*x+1)^(1/2)/(-2*x-6/5)-76/14641*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2186,1,54,53,0.015000," ","int(1/(-2*x+1)^(5/2)/(5*x+3)^2,x)","-\frac{50 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{14641}+\frac{4}{363 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{40}{1331 \sqrt{-2 x +1}}+\frac{10 \sqrt{-2 x +1}}{1331 \left(-2 x -\frac{6}{5}\right)}"," ",0,"4/363/(-2*x+1)^(3/2)+40/1331/(-2*x+1)^(1/2)+10/1331*(-2*x+1)^(1/2)/(-2*x-6/5)-50/14641*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2187,1,72,71,0.017000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)/(5*x+3)^2,x)","-\frac{54 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{343}+\frac{1400 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{14641}+\frac{8}{2541 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{824}{65219 \sqrt{-2 x +1}}+\frac{50 \sqrt{-2 x +1}}{1331 \left(-2 x -\frac{6}{5}\right)}"," ",0,"8/2541/(-2*x+1)^(3/2)+824/65219/(-2*x+1)^(1/2)+50/1331*(-2*x+1)^(1/2)/(-2*x-6/5)+1400/14641*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-54/343*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2188,1,88,94,0.019000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)^2/(5*x+3)^2,x)","-\frac{4050 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{2401}+\frac{15250 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{14641}+\frac{16}{17787 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{2176}{456533 \sqrt{-2 x +1}}+\frac{250 \sqrt{-2 x +1}}{1331 \left(-2 x -\frac{6}{5}\right)}+\frac{54 \sqrt{-2 x +1}}{343 \left(-2 x -\frac{4}{3}\right)}"," ",0,"16/17787/(-2*x+1)^(3/2)+2176/456533/(-2*x+1)^(1/2)+250/1331*(-2*x+1)^(1/2)/(-2*x-6/5)+15250/14641*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+54/343*(-2*x+1)^(1/2)/(-2*x-4/3)-4050/2401*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2189,1,100,117,0.019000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)^3/(5*x+3)^2,x)","-\frac{4455 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{343}+\frac{117500 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{14641}+\frac{32}{124509 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{5408}{3195731 \sqrt{-2 x +1}}+\frac{1250 \sqrt{-2 x +1}}{1331 \left(-2 x -\frac{6}{5}\right)}+\frac{\frac{36693 \left(-2 x +1\right)^{\frac{3}{2}}}{2401}-\frac{12393 \sqrt{-2 x +1}}{343}}{\left(-6 x -4\right)^{2}}"," ",0,"32/124509/(-2*x+1)^(3/2)+5408/3195731/(-2*x+1)^(1/2)+1250/1331*(-2*x+1)^(1/2)/(-2*x-6/5)+117500/14641*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+4374/2401*(151/18*(-2*x+1)^(3/2)-119/6*(-2*x+1)^(1/2))/(-6*x-4)^2-4455/343*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2190,1,84,118,0.016000," ","int((3*x+2)^6/(-2*x+1)^(5/2)/(5*x+3)^3,x)","-\frac{6937 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{100656875}+\frac{243 \left(-2 x +1\right)^{\frac{3}{2}}}{1000}-\frac{26973 \sqrt{-2 x +1}}{5000}+\frac{117649}{31944 \left(-2 x +1\right)^{\frac{3}{2}}}-\frac{1563051}{117128 \sqrt{-2 x +1}}+\frac{\frac{37 \left(-2 x +1\right)^{\frac{3}{2}}}{166375}-\frac{409 \sqrt{-2 x +1}}{831875}}{\left(-10 x -6\right)^{2}}"," ",0,"243/1000*(-2*x+1)^(3/2)-26973/5000*(-2*x+1)^(1/2)+117649/31944/(-2*x+1)^(3/2)-1563051/117128/(-2*x+1)^(1/2)+2/366025*(407/10*(-2*x+1)^(3/2)-4499/50*(-2*x+1)^(1/2))/(-10*x-6)^2-6937/100656875*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2191,1,75,102,0.016000," ","int((3*x+2)^5/(-2*x+1)^(5/2)/(5*x+3)^3,x)","-\frac{4693 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{20131375}-\frac{243 \sqrt{-2 x +1}}{500}+\frac{16807}{15972 \left(-2 x +1\right)^{\frac{3}{2}}}-\frac{36015}{14641 \sqrt{-2 x +1}}+\frac{\frac{31 \left(-2 x +1\right)^{\frac{3}{2}}}{33275}-\frac{343 \sqrt{-2 x +1}}{166375}}{\left(-10 x -6\right)^{2}}"," ",0,"-243/500*(-2*x+1)^(1/2)+16807/15972/(-2*x+1)^(3/2)-36015/14641/(-2*x+1)^(1/2)+4/73205*(341/20*(-2*x+1)^(3/2)-3773/100*(-2*x+1)^(1/2))/(-10*x-6)^2-4693/20131375*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2192,1,66,86,0.016000," ","int((3*x+2)^4/(-2*x+1)^(5/2)/(5*x+3)^3,x)","-\frac{14423 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{20131375}+\frac{2401}{7986 \left(-2 x +1\right)^{\frac{3}{2}}}-\frac{9261}{29282 \sqrt{-2 x +1}}+\frac{\frac{5 \left(-2 x +1\right)^{\frac{3}{2}}}{1331}-\frac{277 \sqrt{-2 x +1}}{33275}}{\left(-10 x -6\right)^{2}}"," ",0,"2401/7986/(-2*x+1)^(3/2)-9261/29282/(-2*x+1)^(1/2)+100/14641*(11/20*(-2*x+1)^(3/2)-3047/2500*(-2*x+1)^(1/2))/(-10*x-6)^2-14423/20131375*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2193,1,66,79,0.016000," ","int((3*x+2)^3/(-2*x+1)^(5/2)/(5*x+3)^3,x)","-\frac{7559 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{4026275}+\frac{343}{3993 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{294}{14641 \sqrt{-2 x +1}}+\frac{\frac{19 \left(-2 x +1\right)^{\frac{3}{2}}}{1331}-\frac{211 \sqrt{-2 x +1}}{6655}}{\left(-10 x -6\right)^{2}}"," ",0,"343/3993/(-2*x+1)^(3/2)+294/14641/(-2*x+1)^(1/2)+50/14641*(209/50*(-2*x+1)^(3/2)-2321/250*(-2*x+1)^(1/2))/(-10*x-6)^2-7559/4026275*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2194,1,66,76,0.016000," ","int((3*x+2)^2/(-2*x+1)^(5/2)/(5*x+3)^3,x)","-\frac{2873 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{805255}+\frac{98}{3993 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{546}{14641 \sqrt{-2 x +1}}+\frac{\frac{65 \left(-2 x +1\right)^{\frac{3}{2}}}{1331}-\frac{145 \sqrt{-2 x +1}}{1331}}{\left(-10 x -6\right)^{2}}"," ",0,"98/3993/(-2*x+1)^(3/2)+546/14641/(-2*x+1)^(1/2)+50/14641*(143/10*(-2*x+1)^(3/2)-319/10*(-2*x+1)^(1/2))/(-10*x-6)^2-2873/805255*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2195,1,66,69,0.015000," ","int((3*x+2)/(-2*x+1)^(5/2)/(5*x+3)^3,x)","-\frac{365 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{161051}+\frac{28}{3993 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{288}{14641 \sqrt{-2 x +1}}+\frac{\frac{175 \left(-2 x +1\right)^{\frac{3}{2}}}{1331}-\frac{395 \sqrt{-2 x +1}}{1331}}{\left(-10 x -6\right)^{2}}"," ",0,"28/3993/(-2*x+1)^(3/2)+288/14641/(-2*x+1)^(1/2)+500/14641*(77/20*(-2*x+1)^(3/2)-869/100*(-2*x+1)^(1/2))/(-10*x-6)^2-365/161051*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2196,1,66,69,0.012000," ","int(1/(-2*x+1)^(5/2)/(5*x+3)^3,x)","-\frac{175 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{161051}+\frac{8}{3993 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{120}{14641 \sqrt{-2 x +1}}+\frac{\frac{125 \left(-2 x +1\right)^{\frac{3}{2}}}{1331}-\frac{325 \sqrt{-2 x +1}}{1331}}{\left(-10 x -6\right)^{2}}"," ",0,"8/3993/(-2*x+1)^(3/2)+120/14641/(-2*x+1)^(1/2)+5000/14641*(11/40*(-2*x+1)^(3/2)-143/200*(-2*x+1)^(1/2))/(-10*x-6)^2-175/161051*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)","A"
2197,1,84,87,0.017000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)/(5*x+3)^3,x)","\frac{162 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{343}-\frac{47075 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{161051}+\frac{16}{27951 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{2208}{717409 \sqrt{-2 x +1}}+\frac{-\frac{3125 \left(-2 x +1\right)^{\frac{3}{2}}}{1331}+\frac{6625 \sqrt{-2 x +1}}{1331}}{\left(-10 x -6\right)^{2}}"," ",0,"16/27951/(-2*x+1)^(3/2)+2208/717409/(-2*x+1)^(1/2)+31250/14641*(-11/10*(-2*x+1)^(3/2)+583/250*(-2*x+1)^(1/2))/(-10*x-6)^2-47075/161051*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)+162/343*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2198,1,100,110,0.018000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)^2/(5*x+3)^3,x)","\frac{17820 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{2401}-\frac{738625 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{161051}+\frac{32}{195657 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{5472}{5021863 \sqrt{-2 x +1}}+\frac{-\frac{3125 \left(-2 x +1\right)^{\frac{3}{2}}}{121}+\frac{74375 \sqrt{-2 x +1}}{1331}}{\left(-10 x -6\right)^{2}}-\frac{162 \sqrt{-2 x +1}}{343 \left(-2 x -\frac{4}{3}\right)}"," ",0,"32/195657/(-2*x+1)^(3/2)+5472/5021863/(-2*x+1)^(1/2)+156250/14641*(-121/50*(-2*x+1)^(3/2)+1309/250*(-2*x+1)^(1/2))/(-10*x-6)^2-738625/161051*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-162/343*(-2*x+1)^(1/2)/(-2*x-4/3)+17820/2401*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2199,1,112,133,0.020000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)^3/(5*x+3)^3,x)","\frac{182655 \sqrt{21}\, \arctanh \left(\frac{\sqrt{21}\, \sqrt{-2 x +1}}{7}\right)}{2401}-\frac{7570625 \sqrt{55}\, \arctanh \left(\frac{\sqrt{55}\, \sqrt{-2 x +1}}{11}\right)}{161051}+\frac{64}{1369599 \left(-2 x +1\right)^{\frac{3}{2}}}+\frac{13056}{35153041 \sqrt{-2 x +1}}+\frac{-\frac{265625 \left(-2 x +1\right)^{\frac{3}{2}}}{1331}+\frac{578125 \sqrt{-2 x +1}}{1331}}{\left(-10 x -6\right)^{2}}-\frac{26244 \left(\frac{221 \left(-2 x +1\right)^{\frac{3}{2}}}{36}-\frac{1561 \sqrt{-2 x +1}}{108}\right)}{2401 \left(-6 x -4\right)^{2}}"," ",0,"64/1369599/(-2*x+1)^(3/2)+13056/35153041/(-2*x+1)^(1/2)+312500/14641*(-187/20*(-2*x+1)^(3/2)+407/20*(-2*x+1)^(1/2))/(-10*x-6)^2-7570625/161051*arctanh(1/11*55^(1/2)*(-2*x+1)^(1/2))*55^(1/2)-26244/2401*(221/36*(-2*x+1)^(3/2)-1561/108*(-2*x+1)^(1/2))/(-6*x-4)^2+182655/2401*arctanh(1/7*21^(1/2)*(-2*x+1)^(1/2))*21^(1/2)","A"
2200,1,1631,260,0.032000," ","int((B*x+A)*(e*x+d)^(5/2)*(b*x+a)^(1/2),x)","-\frac{\sqrt{e x +d}\, \sqrt{b x +a}\, \left(-768 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{4} e^{4} x^{4}+150 A \,a^{4} b \,e^{5} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-600 A \,a^{3} b^{2} d \,e^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+900 A \,a^{2} b^{3} d^{2} e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-600 A a \,b^{4} d^{3} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+150 A \,b^{5} d^{4} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-960 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{4} e^{4} x^{3}-105 B \,a^{5} e^{5} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+375 B \,a^{4} b d \,e^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-450 B \,a^{3} b^{2} d^{2} e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+150 B \,a^{2} b^{3} d^{3} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+75 B a \,b^{4} d^{4} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-96 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a \,b^{3} e^{4} x^{3}-45 B \,b^{5} d^{5} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-2016 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{4} d \,e^{3} x^{3}-160 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A a \,b^{3} e^{4} x^{2}-2720 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{4} d \,e^{3} x^{2}+112 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{2} b^{2} e^{4} x^{2}-352 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a \,b^{3} d \,e^{3} x^{2}-1488 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{4} d^{2} e^{2} x^{2}+200 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,a^{2} b^{2} e^{4} x -720 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A a \,b^{3} d \,e^{3} x -2360 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{4} d^{2} e^{2} x -140 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{3} b \,e^{4} x +444 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{2} b^{2} d \,e^{3} x -436 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a \,b^{3} d^{2} e^{2} x -60 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{4} d^{3} e x -300 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,a^{3} b \,e^{4}+1100 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,a^{2} b^{2} d \,e^{3}-1460 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A a \,b^{3} d^{2} e^{2}-300 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{4} d^{3} e +210 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{4} e^{4}-680 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{3} b d \,e^{3}+692 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{2} b^{2} d^{2} e^{2}-120 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a \,b^{3} d^{3} e +90 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{4} d^{4}\right)}{3840 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, b^{4} e^{2}}"," ",0,"-1/3840*(e*x+d)^(1/2)*(b*x+a)^(1/2)*(-300*A*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*a^3*b*e^4+150*A*ln(1/2*(2*b*x*e+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)+a*e+b*d)/(b*e)^(1/2))*b^5*d^4*e-105*B*ln(1/2*(2*b*x*e+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)+a*e+b*d)/(b*e)^(1/2))*a^5*e^5-45*B*ln(1/2*(2*b*x*e+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)+a*e+b*d)/(b*e)^(1/2))*b^5*d^5-720*A*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*x*a*b^3*d*e^3-352*B*x^2*a*b^3*d*e^3*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)+210*B*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*a^4*e^4+90*B*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*b^4*d^4+150*A*ln(1/2*(2*b*x*e+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)+a*e+b*d)/(b*e)^(1/2))*a^4*b*e^5+444*B*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*x*a^2*b^2*d*e^3-436*B*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*x*a*b^3*d^2*e^2-768*B*x^4*b^4*e^4*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-960*A*x^3*b^4*e^4*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)+75*B*ln(1/2*(2*b*x*e+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)+a*e+b*d)/(b*e)^(1/2))*a*b^4*d^4*e+692*B*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*a^2*b^2*d^2*e^2-120*B*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*a*b^3*d^3*e-2360*A*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*x*b^4*d^2*e^2-140*B*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*x*a^3*b*e^4-300*A*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*b^4*d^3*e-600*A*ln(1/2*(2*b*x*e+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)+a*e+b*d)/(b*e)^(1/2))*a^3*b^2*d*e^4+900*A*ln(1/2*(2*b*x*e+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)+a*e+b*d)/(b*e)^(1/2))*a^2*b^3*d^2*e^3-600*A*ln(1/2*(2*b*x*e+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)+a*e+b*d)/(b*e)^(1/2))*a*b^4*d^3*e^2+375*B*ln(1/2*(2*b*x*e+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)+a*e+b*d)/(b*e)^(1/2))*a^4*b*d*e^4-450*B*ln(1/2*(2*b*x*e+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)+a*e+b*d)/(b*e)^(1/2))*a^3*b^2*d^2*e^3+150*B*ln(1/2*(2*b*x*e+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)+a*e+b*d)/(b*e)^(1/2))*a^2*b^3*d^3*e^2-160*A*x^2*a*b^3*e^4*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-2720*A*x^2*b^4*d*e^3*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)+112*B*x^2*a^2*b^2*e^4*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-1488*B*x^2*b^4*d^2*e^2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-680*B*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*a^3*b*d*e^3-60*B*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*x*b^4*d^3*e+1100*A*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*a^2*b^2*d*e^3-1460*A*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*a*b^3*d^2*e^2+200*A*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*x*a^2*b^2*e^4-96*B*x^3*a*b^3*e^4*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-2016*B*x^3*b^4*d*e^3*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/e^2/(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)/b^4/(b*e)^(1/2)","B"
2201,1,1150,212,0.018000," ","int((B*x+A)*(e*x+d)^(3/2)*(b*x+a)^(1/2),x)","\frac{\sqrt{e x +d}\, \sqrt{b x +a}\, \left(24 A \,a^{3} b \,e^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-72 A \,a^{2} b^{2} d \,e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+72 A a \,b^{3} d^{2} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-24 A \,b^{4} d^{3} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-15 B \,a^{4} e^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+36 B \,a^{3} b d \,e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-18 B \,a^{2} b^{2} d^{2} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-12 B a \,b^{3} d^{3} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+9 B \,b^{4} d^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+96 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{3} e^{3} x^{3}+128 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{3} e^{3} x^{2}+16 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a \,b^{2} e^{3} x^{2}+144 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{3} d \,e^{2} x^{2}+32 \sqrt{b e}\, \sqrt{b e \,x^{2}+a e x +b d x +a d}\, A a \,b^{2} e^{3} x +224 \sqrt{b e}\, \sqrt{b e \,x^{2}+a e x +b d x +a d}\, A \,b^{3} d \,e^{2} x -20 \sqrt{b e}\, \sqrt{b e \,x^{2}+a e x +b d x +a d}\, B \,a^{2} b \,e^{3} x +40 \sqrt{b e}\, \sqrt{b e \,x^{2}+a e x +b d x +a d}\, B a \,b^{2} d \,e^{2} x +12 \sqrt{b e}\, \sqrt{b e \,x^{2}+a e x +b d x +a d}\, B \,b^{3} d^{2} e x -48 \sqrt{b e}\, \sqrt{b e \,x^{2}+a e x +b d x +a d}\, A \,a^{2} b \,e^{3}+128 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A a \,b^{2} d \,e^{2}+48 \sqrt{b e}\, \sqrt{b e \,x^{2}+a e x +b d x +a d}\, A \,b^{3} d^{2} e +30 \sqrt{b e}\, \sqrt{b e \,x^{2}+a e x +b d x +a d}\, B \,a^{3} e^{3}-62 \sqrt{b e}\, \sqrt{b e \,x^{2}+a e x +b d x +a d}\, B \,a^{2} b d \,e^{2}+18 \sqrt{b e}\, \sqrt{b e \,x^{2}+a e x +b d x +a d}\, B a \,b^{2} d^{2} e -18 \sqrt{b e}\, \sqrt{b e \,x^{2}+a e x +b d x +a d}\, B \,b^{3} d^{3}\right)}{384 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, b^{3} e^{2}}"," ",0,"1/384*(e*x+d)^(1/2)*(b*x+a)^(1/2)*(-18*B*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^2*b^2*d^2*e^2-24*A*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*b^4*d^3*e-15*B*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^4*e^4+9*B*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*b^4*d^4+30*B*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*a^3*e^3-18*B*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*b^3*d^3+24*A*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^3*b*e^4-72*A*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^2*b^2*d*e^3+72*A*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a*b^3*d^2*e^2+36*B*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^3*b*d*e^3+96*B*x^3*b^3*e^3*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)+128*A*x^2*b^3*e^3*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)+40*B*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*x*a*b^2*d*e^2-12*B*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a*b^3*d^3*e-48*A*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*a^2*b*e^3+48*A*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*b^3*d^2*e-62*B*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*a^2*b*d*e^2+18*B*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*a*b^2*d^2*e+32*A*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*x*a*b^2*e^3+224*A*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*x*b^3*d*e^2-20*B*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*x*a^2*b*e^3+12*B*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*x*b^3*d^2*e+16*B*x^2*a*b^2*e^3*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)+144*B*x^2*b^3*d*e^2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)+128*A*a*b^2*d*e^2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/e^2/(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)/b^3/(b*e)^(1/2)","B"
2202,1,755,164,0.016000," ","int((B*x+A)*(b*x+a)^(1/2)*(e*x+d)^(1/2),x)","-\frac{\sqrt{b x +a}\, \sqrt{e x +d}\, \left(6 A \,a^{2} b \,e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-12 A a \,b^{2} d \,e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+6 A \,b^{3} d^{2} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-3 B \,a^{3} e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+3 B \,a^{2} b d \,e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+3 B a \,b^{2} d^{2} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-3 B \,b^{3} d^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-16 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{2} e^{2} x^{2}-24 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{2} e^{2} x -4 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a b \,e^{2} x -4 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{2} d e x -12 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A a b \,e^{2}-12 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{2} d e +6 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{2} e^{2}-4 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a b d e +6 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{2} d^{2}\right)}{48 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, b^{2} e^{2}}"," ",0,"-1/48*(b*x+a)^(1/2)*(e*x+d)^(1/2)*(-16*B*x^2*b^2*e^2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)+6*A*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^2*b*e^3-12*A*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a*b^2*d*e^2+6*A*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*b^3*d^2*e-24*A*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*x*b^2*e^2-3*B*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^3*e^3+3*B*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^2*b*d*e^2+3*B*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a*b^2*d^2*e-3*B*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*b^3*d^3-4*B*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*x*a*b*e^2-4*B*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*x*b^2*d*e-12*A*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*a*b*e^2-12*A*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*b^2*d*e+6*B*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*a^2*e^2-4*B*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*a*b*d*e+6*B*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*b^2*d^2)/(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)/b^2/e^2/(b*e)^(1/2)","B"
2203,1,376,114,0.026000," ","int((B*x+A)*(b*x+a)^(1/2)/(e*x+d)^(1/2),x)","\frac{\sqrt{b x +a}\, \sqrt{e x +d}\, \left(4 A a b \,e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-4 A \,b^{2} d e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-B \,a^{2} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-2 B a b d e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+3 B \,b^{2} d^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+4 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B b e x +8 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, A b e +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a e -6 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B b d \right)}{8 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, b \,e^{2}}"," ",0,"1/8*(b*x+a)^(1/2)*(e*x+d)^(1/2)*(4*A*ln(1/2*(2*b*e*x+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+a*e+b*d)/(b*e)^(1/2))*a*b*e^2-4*A*ln(1/2*(2*b*e*x+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+a*e+b*d)/(b*e)^(1/2))*b^2*d*e-B*ln(1/2*(2*b*e*x+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+a*e+b*d)/(b*e)^(1/2))*a^2*e^2-2*B*ln(1/2*(2*b*e*x+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+a*e+b*d)/(b*e)^(1/2))*a*b*d*e+3*B*ln(1/2*(2*b*e*x+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+a*e+b*d)/(b*e)^(1/2))*b^2*d^2+4*B*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*x*b*e+8*A*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*b*e+2*B*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*a*e-6*B*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*b*d)/((b*x+a)*(e*x+d))^(1/2)/e^2/b/(b*e)^(1/2)","B"
2204,1,386,128,0.026000," ","int((B*x+A)*(b*x+a)^(1/2)/(e*x+d)^(3/2),x)","\frac{\sqrt{b x +a}\, \left(2 A b \,e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+B a \,e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-3 B b d e x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+2 A b d e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+B a d e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-3 B b \,d^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B e x -4 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A e +6 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B d \right)}{2 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{e x +d}\, e^{2}}"," ",0,"1/2*(b*x+a)^(1/2)*(2*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*b*e^2+B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a*e^2-3*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*b*d*e+2*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*b*d*e+B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a*d*e-3*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*b*d^2+2*B*x*e*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-4*A*e*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+6*B*d*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2)/((b*x+a)*(e*x+d))^(1/2)/e^2/(e*x+d)^(1/2)","B"
2205,1,503,89,0.026000," ","int((B*x+A)*(b*x+a)^(1/2)/(e*x+d)^(5/2),x)","-\frac{\left(-3 B a b \,e^{3} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+3 B \,b^{2} d \,e^{2} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-6 B a b d \,e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+6 B \,b^{2} d^{2} e x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-3 B a b \,d^{2} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+3 B \,b^{2} d^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A b \,e^{2} x +6 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a \,e^{2} x -8 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B b d e x +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A a \,e^{2}+4 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a d e -6 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B b \,d^{2}\right) \sqrt{b x +a}}{3 \sqrt{b e}\, \left(a e -b d \right) \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \left(e x +d \right)^{\frac{3}{2}} e^{2}}"," ",0,"-1/3*(-3*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^2*a*b*e^3+3*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^2*b^2*d*e^2-6*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a*b*d*e^2+6*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*b^2*d^2*e+2*A*x*b*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-3*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a*b*d^2*e+3*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*b^2*d^3+6*B*x*a*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-8*B*x*b*d*e*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+2*A*a*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+4*B*a*d*e*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-6*B*b*d^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))*(b*x+a)^(1/2)/(b*e)^(1/2)/(a*e-b*d)/((b*x+a)*(e*x+d))^(1/2)/e^2/(e*x+d)^(3/2)","B"
2206,1,74,83,0.006000," ","int((B*x+A)*(b*x+a)^(1/2)/(e*x+d)^(7/2),x)","-\frac{2 \left(b x +a \right)^{\frac{3}{2}} \left(-2 A b e x +5 B a e x -3 B b d x +3 A a e -5 A b d +2 B a d \right)}{15 \left(e x +d \right)^{\frac{5}{2}} \left(a^{2} e^{2}-2 b e a d +b^{2} d^{2}\right)}"," ",0,"-2/15*(b*x+a)^(3/2)*(-2*A*b*e*x+5*B*a*e*x-3*B*b*d*x+3*A*a*e-5*A*b*d+2*B*a*d)/(e*x+d)^(5/2)/(a^2*e^2-2*a*b*d*e+b^2*d^2)","A"
2207,1,177,129,0.010000," ","int((B*x+A)*(b*x+a)^(1/2)/(e*x+d)^(9/2),x)","-\frac{2 \left(b x +a \right)^{\frac{3}{2}} \left(8 A \,b^{2} e^{2} x^{2}-14 B a b \,e^{2} x^{2}+6 B \,b^{2} d e \,x^{2}-12 A a b \,e^{2} x +28 A \,b^{2} d e x +21 B \,a^{2} e^{2} x -58 B a b d e x +21 B \,b^{2} d^{2} x +15 A \,a^{2} e^{2}-42 A a b d e +35 A \,b^{2} d^{2}+6 B \,a^{2} d e -14 B a b \,d^{2}\right)}{105 \left(e x +d \right)^{\frac{7}{2}} \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right)}"," ",0,"-2/105*(b*x+a)^(3/2)*(8*A*b^2*e^2*x^2-14*B*a*b*e^2*x^2+6*B*b^2*d*e*x^2-12*A*a*b*e^2*x+28*A*b^2*d*e*x+21*B*a^2*e^2*x-58*B*a*b*d*e*x+21*B*b^2*d^2*x+15*A*a^2*e^2-42*A*a*b*d*e+35*A*b^2*d^2+6*B*a^2*d*e-14*B*a*b*d^2)/(e*x+d)^(7/2)/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)","A"
2208,1,322,174,0.012000," ","int((B*x+A)*(b*x+a)^(1/2)/(e*x+d)^(11/2),x)","-\frac{2 \left(b x +a \right)^{\frac{3}{2}} \left(-16 A \,b^{3} e^{3} x^{3}+24 B a \,b^{2} e^{3} x^{3}-8 B \,b^{3} d \,e^{2} x^{3}+24 A a \,b^{2} e^{3} x^{2}-72 A \,b^{3} d \,e^{2} x^{2}-36 B \,a^{2} b \,e^{3} x^{2}+120 B a \,b^{2} d \,e^{2} x^{2}-36 B \,b^{3} d^{2} e \,x^{2}-30 A \,a^{2} b \,e^{3} x +108 A a \,b^{2} d \,e^{2} x -126 A \,b^{3} d^{2} e x +45 B \,a^{3} e^{3} x -177 B \,a^{2} b d \,e^{2} x +243 B a \,b^{2} d^{2} e x -63 B \,b^{3} d^{3} x +35 A \,a^{3} e^{3}-135 A \,a^{2} b d \,e^{2}+189 A a \,b^{2} d^{2} e -105 A \,b^{3} d^{3}+10 B \,a^{3} d \,e^{2}-36 B \,a^{2} b \,d^{2} e +42 B a \,b^{2} d^{3}\right)}{315 \left(e x +d \right)^{\frac{9}{2}} \left(e^{4} a^{4}-4 b \,e^{3} d \,a^{3}+6 b^{2} e^{2} d^{2} a^{2}-4 a \,b^{3} d^{3} e +b^{4} d^{4}\right)}"," ",0,"-2/315*(b*x+a)^(3/2)*(-16*A*b^3*e^3*x^3+24*B*a*b^2*e^3*x^3-8*B*b^3*d*e^2*x^3+24*A*a*b^2*e^3*x^2-72*A*b^3*d*e^2*x^2-36*B*a^2*b*e^3*x^2+120*B*a*b^2*d*e^2*x^2-36*B*b^3*d^2*e*x^2-30*A*a^2*b*e^3*x+108*A*a*b^2*d*e^2*x-126*A*b^3*d^2*e*x+45*B*a^3*e^3*x-177*B*a^2*b*d*e^2*x+243*B*a*b^2*d^2*e*x-63*B*b^3*d^3*x+35*A*a^3*e^3-135*A*a^2*b*d*e^2+189*A*a*b^2*d^2*e-105*A*b^3*d^3+10*B*a^3*d*e^2-36*B*a^2*b*d^2*e+42*B*a*b^2*d^3)/(e*x+d)^(9/2)/(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"
2209,1,505,225,0.013000," ","int((B*x+A)*(b*x+a)^(1/2)/(e*x+d)^(13/2),x)","-\frac{2 \left(b x +a \right)^{\frac{3}{2}} \left(128 A \,b^{4} e^{4} x^{4}-176 B a \,b^{3} e^{4} x^{4}+48 B \,b^{4} d \,e^{3} x^{4}-192 A a \,b^{3} e^{4} x^{3}+704 A \,b^{4} d \,e^{3} x^{3}+264 B \,a^{2} b^{2} e^{4} x^{3}-1040 B a \,b^{3} d \,e^{3} x^{3}+264 B \,b^{4} d^{2} e^{2} x^{3}+240 A \,a^{2} b^{2} e^{4} x^{2}-1056 A a \,b^{3} d \,e^{3} x^{2}+1584 A \,b^{4} d^{2} e^{2} x^{2}-330 B \,a^{3} b \,e^{4} x^{2}+1542 B \,a^{2} b^{2} d \,e^{3} x^{2}-2574 B a \,b^{3} d^{2} e^{2} x^{2}+594 B \,b^{4} d^{3} e \,x^{2}-280 A \,a^{3} b \,e^{4} x +1320 A \,a^{2} b^{2} d \,e^{3} x -2376 A a \,b^{3} d^{2} e^{2} x +1848 A \,b^{4} d^{3} e x +385 B \,a^{4} e^{4} x -1920 B \,a^{3} b d \,e^{3} x +3762 B \,a^{2} b^{2} d^{2} e^{2} x -3432 B a \,b^{3} d^{3} e x +693 B \,b^{4} d^{4} x +315 A \,a^{4} e^{4}-1540 A \,a^{3} b d \,e^{3}+2970 A \,a^{2} b^{2} d^{2} e^{2}-2772 A a \,b^{3} d^{3} e +1155 A \,b^{4} d^{4}+70 B \,a^{4} d \,e^{3}-330 B \,a^{3} b \,d^{2} e^{2}+594 B \,a^{2} b^{2} d^{3} e -462 B a \,b^{3} d^{4}\right)}{3465 \left(e x +d \right)^{\frac{11}{2}} \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)}"," ",0,"-2/3465*(b*x+a)^(3/2)*(128*A*b^4*e^4*x^4-176*B*a*b^3*e^4*x^4+48*B*b^4*d*e^3*x^4-192*A*a*b^3*e^4*x^3+704*A*b^4*d*e^3*x^3+264*B*a^2*b^2*e^4*x^3-1040*B*a*b^3*d*e^3*x^3+264*B*b^4*d^2*e^2*x^3+240*A*a^2*b^2*e^4*x^2-1056*A*a*b^3*d*e^3*x^2+1584*A*b^4*d^2*e^2*x^2-330*B*a^3*b*e^4*x^2+1542*B*a^2*b^2*d*e^3*x^2-2574*B*a*b^3*d^2*e^2*x^2+594*B*b^4*d^3*e*x^2-280*A*a^3*b*e^4*x+1320*A*a^2*b^2*d*e^3*x-2376*A*a*b^3*d^2*e^2*x+1848*A*b^4*d^3*e*x+385*B*a^4*e^4*x-1920*B*a^3*b*d*e^3*x+3762*B*a^2*b^2*d^2*e^2*x-3432*B*a*b^3*d^3*e*x+693*B*b^4*d^4*x+315*A*a^4*e^4-1540*A*a^3*b*d*e^3+2970*A*a^2*b^2*d^2*e^2-2772*A*a*b^3*d^3*e+1155*A*b^4*d^4+70*B*a^4*d*e^3-330*B*a^3*b*d^2*e^2+594*B*a^2*b^2*d^3*e-462*B*a*b^3*d^4)/(e*x+d)^(11/2)/(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)","B"
2210,1,722,273,0.016000," ","int((B*x+A)*(b*x+a)^(1/2)/(e*x+d)^(15/2),x)","-\frac{2 \left(b x +a \right)^{\frac{3}{2}} \left(-1280 A \,b^{5} e^{5} x^{5}+1664 B a \,b^{4} e^{5} x^{5}-384 B \,b^{5} d \,e^{4} x^{5}+1920 A a \,b^{4} e^{5} x^{4}-8320 A \,b^{5} d \,e^{4} x^{4}-2496 B \,a^{2} b^{3} e^{5} x^{4}+11392 B a \,b^{4} d \,e^{4} x^{4}-2496 B \,b^{5} d^{2} e^{3} x^{4}-2400 A \,a^{2} b^{3} e^{5} x^{3}+12480 A a \,b^{4} d \,e^{4} x^{3}-22880 A \,b^{5} d^{2} e^{3} x^{3}+3120 B \,a^{3} b^{2} e^{5} x^{3}-16944 B \,a^{2} b^{3} d \,e^{4} x^{3}+33488 B a \,b^{4} d^{2} e^{3} x^{3}-6864 B \,b^{5} d^{3} e^{2} x^{3}+2800 A \,a^{3} b^{2} e^{5} x^{2}-15600 A \,a^{2} b^{3} d \,e^{4} x^{2}+34320 A a \,b^{4} d^{2} e^{3} x^{2}-34320 A \,b^{5} d^{3} e^{2} x^{2}-3640 B \,a^{4} b \,e^{5} x^{2}+21120 B \,a^{3} b^{2} d \,e^{4} x^{2}-49296 B \,a^{2} b^{3} d^{2} e^{3} x^{2}+54912 B a \,b^{4} d^{3} e^{2} x^{2}-10296 B \,b^{5} d^{4} e \,x^{2}-3150 A \,a^{4} b \,e^{5} x +18200 A \,a^{3} b^{2} d \,e^{4} x -42900 A \,a^{2} b^{3} d^{2} e^{3} x +51480 A a \,b^{4} d^{3} e^{2} x -30030 A \,b^{5} d^{4} e x +4095 B \,a^{5} e^{5} x -24605 B \,a^{4} b d \,e^{4} x +61230 B \,a^{3} b^{2} d^{2} e^{3} x -79794 B \,a^{2} b^{3} d^{3} e^{2} x +54483 B a \,b^{4} d^{4} e x -9009 B \,b^{5} d^{5} x +3465 A \,a^{5} e^{5}-20475 A \,a^{4} b d \,e^{4}+50050 A \,a^{3} b^{2} d^{2} e^{3}-64350 A \,a^{2} b^{3} d^{3} e^{2}+45045 A a \,b^{4} d^{4} e -15015 A \,b^{5} d^{5}+630 B \,a^{5} d \,e^{4}-3640 B \,a^{4} b \,d^{2} e^{3}+8580 B \,a^{3} b^{2} d^{3} e^{2}-10296 B \,a^{2} b^{3} d^{4} e +6006 B a \,b^{4} d^{5}\right)}{45045 \left(e x +d \right)^{\frac{13}{2}} \left(a^{6} e^{6}-6 a^{5} b d \,e^{5}+15 a^{4} b^{2} d^{2} e^{4}-20 a^{3} b^{3} d^{3} e^{3}+15 a^{2} b^{4} d^{4} e^{2}-6 a \,b^{5} d^{5} e +b^{6} d^{6}\right)}"," ",0,"-2/45045*(b*x+a)^(3/2)*(-1280*A*b^5*e^5*x^5+1664*B*a*b^4*e^5*x^5-384*B*b^5*d*e^4*x^5+1920*A*a*b^4*e^5*x^4-8320*A*b^5*d*e^4*x^4-2496*B*a^2*b^3*e^5*x^4+11392*B*a*b^4*d*e^4*x^4-2496*B*b^5*d^2*e^3*x^4-2400*A*a^2*b^3*e^5*x^3+12480*A*a*b^4*d*e^4*x^3-22880*A*b^5*d^2*e^3*x^3+3120*B*a^3*b^2*e^5*x^3-16944*B*a^2*b^3*d*e^4*x^3+33488*B*a*b^4*d^2*e^3*x^3-6864*B*b^5*d^3*e^2*x^3+2800*A*a^3*b^2*e^5*x^2-15600*A*a^2*b^3*d*e^4*x^2+34320*A*a*b^4*d^2*e^3*x^2-34320*A*b^5*d^3*e^2*x^2-3640*B*a^4*b*e^5*x^2+21120*B*a^3*b^2*d*e^4*x^2-49296*B*a^2*b^3*d^2*e^3*x^2+54912*B*a*b^4*d^3*e^2*x^2-10296*B*b^5*d^4*e*x^2-3150*A*a^4*b*e^5*x+18200*A*a^3*b^2*d*e^4*x-42900*A*a^2*b^3*d^2*e^3*x+51480*A*a*b^4*d^3*e^2*x-30030*A*b^5*d^4*e*x+4095*B*a^5*e^5*x-24605*B*a^4*b*d*e^4*x+61230*B*a^3*b^2*d^2*e^3*x-79794*B*a^2*b^3*d^3*e^2*x+54483*B*a*b^4*d^4*e*x-9009*B*b^5*d^5*x+3465*A*a^5*e^5-20475*A*a^4*b*d*e^4+50050*A*a^3*b^2*d^2*e^3-64350*A*a^2*b^3*d^3*e^2+45045*A*a*b^4*d^4*e-15015*A*b^5*d^5+630*B*a^5*d*e^4-3640*B*a^4*b*d^2*e^3+8580*B*a^3*b^2*d^3*e^2-10296*B*a^2*b^3*d^4*e+6006*B*a*b^4*d^5)/(e*x+d)^(13/2)/(a^6*e^6-6*a^5*b*d*e^5+15*a^4*b^2*d^2*e^4-20*a^3*b^3*d^3*e^3+15*a^2*b^4*d^4*e^2-6*a*b^5*d^5*e+b^6*d^6)","B"
2211,1,2198,308,0.026000," ","int((b*x+a)^(3/2)*(B*x+A)*(e*x+d)^(5/2),x)","-\frac{\sqrt{b x +a}\, \sqrt{e x +d}\, \left(-2560 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{5} e^{5} x^{5}-3072 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{5} e^{5} x^{4}-3328 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a \,b^{4} e^{5} x^{4}-6400 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{5} d \,e^{4} x^{4}+180 A \,a^{5} b \,e^{6} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-900 A \,a^{4} b^{2} d \,e^{5} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+1800 A \,a^{3} b^{3} d^{2} e^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-1800 A \,a^{2} b^{4} d^{3} e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+900 A a \,b^{5} d^{4} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-4224 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A a \,b^{4} e^{5} x^{3}-180 A \,b^{6} d^{5} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-8064 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{5} d \,e^{4} x^{3}-105 B \,a^{6} e^{6} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+450 B \,a^{5} b d \,e^{5} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-675 B \,a^{4} b^{2} d^{2} e^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+300 B \,a^{3} b^{3} d^{3} e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+225 B \,a^{2} b^{4} d^{4} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-96 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{2} b^{3} e^{5} x^{3}-270 B a \,b^{5} d^{5} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-8896 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a \,b^{4} d \,e^{4} x^{3}+75 B \,b^{6} d^{6} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-4320 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{5} d^{2} e^{3} x^{3}-192 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,a^{2} b^{3} e^{5} x^{2}-12288 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A a \,b^{4} d \,e^{4} x^{2}-5952 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{5} d^{2} e^{3} x^{2}+112 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{3} b^{2} e^{5} x^{2}-432 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{2} b^{3} d \,e^{4} x^{2}-6768 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a \,b^{4} d^{2} e^{3} x^{2}-80 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{5} d^{3} e^{2} x^{2}+240 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,a^{3} b^{2} e^{5} x -1104 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,a^{2} b^{3} d \,e^{4} x -11184 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A a \,b^{4} d^{2} e^{3} x -240 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{5} d^{3} e^{2} x -140 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{4} b \,e^{5} x +544 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{3} b^{2} d \,e^{4} x -696 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{2} b^{3} d^{2} e^{3} x -320 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a \,b^{4} d^{3} e^{2} x +100 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{5} d^{4} e x -360 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,a^{4} b \,e^{5}+1680 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,a^{3} b^{2} d \,e^{4}-3072 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,a^{2} b^{3} d^{2} e^{3}-1680 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A a \,b^{4} d^{3} e^{2}+360 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{5} d^{4} e +210 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{5} e^{5}-830 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{4} b d \,e^{4}+1092 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{3} b^{2} d^{2} e^{3}-300 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{2} b^{3} d^{3} e^{2}+490 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a \,b^{4} d^{4} e -150 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{5} d^{5}\right)}{15360 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, b^{4} e^{3}}"," ",0,"-1/15360*(b*x+a)^(1/2)*(e*x+d)^(1/2)*(1800*A*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^3*b^3*d^2*e^4+180*A*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^5*b*e^6-105*B*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^6*e^6+75*B*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*b^6*d^6-180*A*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*b^6*d^5*e+210*B*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*a^5*e^5-150*B*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*b^5*d^5-4320*B*x^3*b^5*d^2*e^3*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-192*A*x^2*a^2*b^3*e^5*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-5952*A*x^2*b^5*d^2*e^3*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)+112*B*x^2*a^3*b^2*e^5*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)+240*A*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*x*a^3*b^2*e^5-240*A*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*x*b^5*d^3*e^2-830*B*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*a^4*b*d*e^4+1092*B*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*a^3*b^2*d^2*e^3-300*B*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*a^2*b^3*d^3*e^2+490*B*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*a*b^4*d^4*e-900*A*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^4*b^2*d*e^5+450*B*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^5*b*d*e^5-675*B*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^4*b^2*d^2*e^4+300*B*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^3*b^3*d^3*e^3+225*B*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^2*b^4*d^4*e^2-1800*A*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^2*b^4*d^3*e^3+900*A*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a*b^5*d^4*e^2-270*B*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a*b^5*d^5*e-360*A*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*a^4*b*e^5+360*A*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*b^5*d^4*e-2560*B*x^5*b^5*e^5*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-3072*A*x^4*b^5*e^5*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)+100*B*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*x*b^5*d^4*e+1680*A*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*a^3*b^2*d*e^4-1680*A*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*a*b^4*d^3*e^2-4224*A*x^3*a*b^4*e^5*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-8064*A*x^3*b^5*d*e^4*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-96*B*x^3*a^2*b^3*e^5*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-432*B*x^2*a^2*b^3*d*e^4*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-6768*B*x^2*a*b^4*d^2*e^3*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-8896*B*x^3*a*b^4*d*e^4*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-12288*A*x^2*a*b^4*d*e^4*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-696*B*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*x*a^2*b^3*d^2*e^3-320*B*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*x*a*b^4*d^3*e^2-11184*A*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*x*a*b^4*d^2*e^3+544*B*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*x*a^3*b^2*d*e^4-1104*A*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*x*a^2*b^3*d*e^4-80*B*x^2*b^5*d^3*e^2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-3072*A*a^2*b^3*d^2*e^3*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-3328*B*x^4*a*b^4*e^5*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-6400*B*x^4*b^5*d*e^4*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-140*B*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*x*a^4*b*e^5)/b^4/e^3/(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)/(b*e)^(1/2)","B"
2212,1,1631,260,0.020000," ","int((b*x+a)^(3/2)*(B*x+A)*(e*x+d)^(3/2),x)","\frac{\sqrt{b x +a}\, \sqrt{e x +d}\, \left(256 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{4} e^{4} x^{4}+30 A \,a^{4} b \,e^{5} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-120 A \,a^{3} b^{2} d \,e^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+180 A \,a^{2} b^{3} d^{2} e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-120 A a \,b^{4} d^{3} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+30 A \,b^{5} d^{4} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+320 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{4} e^{4} x^{3}-15 B \,a^{5} e^{5} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+45 B \,a^{4} b d \,e^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-30 B \,a^{3} b^{2} d^{2} e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-30 B \,a^{2} b^{3} d^{3} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+45 B a \,b^{4} d^{4} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+352 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a \,b^{3} e^{4} x^{3}-15 B \,b^{5} d^{5} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+352 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{4} d \,e^{3} x^{3}+480 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A a \,b^{3} e^{4} x^{2}+480 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{4} d \,e^{3} x^{2}+16 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{2} b^{2} e^{4} x^{2}+544 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a \,b^{3} d \,e^{3} x^{2}+16 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{4} d^{2} e^{2} x^{2}+40 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,a^{2} b^{2} e^{4} x +880 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A a \,b^{3} d \,e^{3} x +40 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{4} d^{2} e^{2} x -20 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{3} b \,e^{4} x +52 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{2} b^{2} d \,e^{3} x +52 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a \,b^{3} d^{2} e^{2} x -20 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{4} d^{3} e x -60 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,a^{3} b \,e^{4}+220 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,a^{2} b^{2} d \,e^{3}+220 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A a \,b^{3} d^{2} e^{2}-60 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{4} d^{3} e +30 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{4} e^{4}-80 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{3} b d \,e^{3}+36 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{2} b^{2} d^{2} e^{2}-80 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a \,b^{3} d^{3} e +30 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{4} d^{4}\right)}{1280 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, b^{3} e^{3}}"," ",0,"1/1280*(b*x+a)^(1/2)*(e*x+d)^(1/2)*(-60*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*a^3*b*e^4+30*A*b^5*d^4*e*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-15*B*a^5*e^5*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-15*B*b^5*d^5*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+880*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*a*b^3*d*e^3*x+544*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a*b^3*d*e^3*x^2+30*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a^4*e^4+30*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*b^4*d^4+30*A*a^4*b*e^5*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+52*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a^2*b^2*d*e^3*x+52*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a*b^3*d^2*e^2*x+256*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*b^4*e^4*x^4+320*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*b^4*e^4*x^3+45*B*a*b^4*d^4*e*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+36*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a^2*b^2*d^2*e^2-80*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a*b^3*d^3*e+40*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*b^4*d^2*e^2*x-20*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a^3*b*e^4*x-60*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*b^4*d^3*e-120*A*a^3*b^2*d*e^4*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+180*A*a^2*b^3*d^2*e^3*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-120*A*a*b^4*d^3*e^2*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+45*B*a^4*b*d*e^4*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-30*B*a^3*b^2*d^2*e^3*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-30*B*a^2*b^3*d^3*e^2*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+480*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*a*b^3*e^4*x^2+480*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*b^4*d*e^3*x^2+16*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a^2*b^2*e^4*x^2+16*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*b^4*d^2*e^2*x^2-80*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a^3*b*d*e^3-20*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*b^4*d^3*e*x+220*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*a^2*b^2*d*e^3+220*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*a*b^3*d^2*e^2+40*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*a^2*b^2*e^4*x+352*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a*b^3*e^4*x^3+352*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*b^4*d*e^3*x^3)/b^3/e^3/(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)/(b*e)^(1/2)","B"
2213,1,1150,212,0.016000," ","int((b*x+a)^(3/2)*(B*x+A)*(e*x+d)^(1/2),x)","-\frac{\sqrt{b x +a}\, \sqrt{e x +d}\, \left(24 A \,a^{3} b \,e^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-72 A \,a^{2} b^{2} d \,e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+72 A a \,b^{3} d^{2} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-24 A \,b^{4} d^{3} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-9 B \,a^{4} e^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+12 B \,a^{3} b d \,e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+18 B \,a^{2} b^{2} d^{2} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-36 B a \,b^{3} d^{3} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+15 B \,b^{4} d^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-96 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{3} e^{3} x^{3}-128 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{3} e^{3} x^{2}-144 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a \,b^{2} e^{3} x^{2}-16 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{3} d \,e^{2} x^{2}-224 \sqrt{b e}\, \sqrt{b e \,x^{2}+a e x +b d x +a d}\, A a \,b^{2} e^{3} x -32 \sqrt{b e}\, \sqrt{b e \,x^{2}+a e x +b d x +a d}\, A \,b^{3} d \,e^{2} x -12 \sqrt{b e}\, \sqrt{b e \,x^{2}+a e x +b d x +a d}\, B \,a^{2} b \,e^{3} x -40 \sqrt{b e}\, \sqrt{b e \,x^{2}+a e x +b d x +a d}\, B a \,b^{2} d \,e^{2} x +20 \sqrt{b e}\, \sqrt{b e \,x^{2}+a e x +b d x +a d}\, B \,b^{3} d^{2} e x -48 \sqrt{b e}\, \sqrt{b e \,x^{2}+a e x +b d x +a d}\, A \,a^{2} b \,e^{3}-128 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A a \,b^{2} d \,e^{2}+48 \sqrt{b e}\, \sqrt{b e \,x^{2}+a e x +b d x +a d}\, A \,b^{3} d^{2} e +18 \sqrt{b e}\, \sqrt{b e \,x^{2}+a e x +b d x +a d}\, B \,a^{3} e^{3}-18 \sqrt{b e}\, \sqrt{b e \,x^{2}+a e x +b d x +a d}\, B \,a^{2} b d \,e^{2}+62 \sqrt{b e}\, \sqrt{b e \,x^{2}+a e x +b d x +a d}\, B a \,b^{2} d^{2} e -30 \sqrt{b e}\, \sqrt{b e \,x^{2}+a e x +b d x +a d}\, B \,b^{3} d^{3}\right)}{384 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, b^{2} e^{3}}"," ",0,"-1/384*(b*x+a)^(1/2)*(e*x+d)^(1/2)*(18*B*a^2*b^2*d^2*e^2*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-24*A*b^4*d^3*e*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-9*B*a^4*e^4*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+15*B*b^4*d^4*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+18*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*B*a^3*e^3-30*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*B*b^3*d^3+24*A*a^3*b*e^4*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-72*A*a^2*b^2*d*e^3*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+72*A*a*b^3*d^2*e^2*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+12*B*a^3*b*d*e^3*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-96*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*b^3*e^3*x^3-128*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*b^3*e^3*x^2-40*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*B*a*b^2*d*e^2*x-36*B*a*b^3*d^3*e*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-48*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*A*a^2*b*e^3+48*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*A*b^3*d^2*e-18*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*B*a^2*b*d*e^2+62*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*B*a*b^2*d^2*e-224*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*A*a*b^2*e^3*x-32*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*A*b^3*d*e^2*x-12*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*B*a^2*b*e^3*x+20*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*B*b^3*d^2*e*x-144*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a*b^2*e^3*x^2-16*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*b^3*d*e^2*x^2-128*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*a*b^2*d*e^2)/b^2/(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)/e^3/(b*e)^(1/2)","B"
2214,1,636,161,0.022000," ","int((b*x+a)^(3/2)*(B*x+A)/(e*x+d)^(1/2),x)","\frac{\sqrt{b x +a}\, \sqrt{e x +d}\, \left(18 A \,a^{2} b \,e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-36 A a \,b^{2} d \,e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+18 A \,b^{3} d^{2} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-3 B \,a^{3} e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-9 B \,a^{2} b d \,e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+27 B a \,b^{2} d^{2} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-15 B \,b^{3} d^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+16 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B \,b^{2} e^{2} x^{2}+24 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{2} e^{2} x +28 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a b \,e^{2} x -20 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{2} d e x +60 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, A a b \,e^{2}-36 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, A \,b^{2} d e +6 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{2} e^{2}-44 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B a b d e +30 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B \,b^{2} d^{2}\right)}{48 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, b \,e^{3}}"," ",0,"1/48*(b*x+a)^(1/2)*(e*x+d)^(1/2)*(16*B*x^2*b^2*e^2*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)+18*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^2*b*e^3-36*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a*b^2*d*e^2+18*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*b^3*d^2*e+24*A*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*x*b^2*e^2-3*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^3*e^3-9*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^2*b*d*e^2+27*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a*b^2*d^2*e-15*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*b^3*d^3+28*B*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*x*a*b*e^2-20*B*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*x*b^2*d*e+60*A*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*a*b*e^2-36*A*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*b^2*d*e+6*B*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*a^2*e^2-44*B*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*a*b*d*e+30*B*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*b^2*d^2)/b/e^3/((b*x+a)*(e*x+d))^(1/2)/(b*e)^(1/2)","B"
2215,1,740,172,0.024000," ","int((b*x+a)^(3/2)*(B*x+A)/(e*x+d)^(3/2),x)","\frac{\sqrt{b x +a}\, \left(12 A a b \,e^{3} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-12 A \,b^{2} d \,e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+3 B \,a^{2} e^{3} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-18 B a b d \,e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+15 B \,b^{2} d^{2} e x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+12 A a b d \,e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-12 A \,b^{2} d^{2} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+3 B \,a^{2} d \,e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-18 B a b \,d^{2} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+15 B \,b^{2} d^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+4 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B b \,e^{2} x^{2}+8 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A b \,e^{2} x +10 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a \,e^{2} x -10 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B b d e x -16 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A a \,e^{2}+24 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A b d e +26 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a d e -30 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B b \,d^{2}\right)}{8 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, \sqrt{e x +d}\, e^{3}}"," ",0,"1/8*(b*x+a)^(1/2)*(12*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a*b*e^3-12*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*b^2*d*e^2+3*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a^2*e^3-18*B*a*b*d*e^2*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+15*B*b^2*d^2*e*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+4*B*x^2*b*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+12*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a*b*d*e^2-12*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*b^2*d^2*e+8*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*b*e^2*x+3*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^2*d*e^2-18*B*a*b*d^2*e*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+15*B*b^2*d^3*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+10*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a*e^2*x-10*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*b*d*e*x-16*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*a*e^2+24*A*b*d*e*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+26*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a*d*e-30*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*b*d^2)/((b*x+a)*(e*x+d))^(1/2)/(b*e)^(1/2)/(e*x+d)^(1/2)/e^3","B"
2216,1,698,174,0.023000," ","int((b*x+a)^(3/2)*(B*x+A)/(e*x+d)^(5/2),x)","\frac{\sqrt{b x +a}\, \left(6 A \,b^{2} e^{3} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+9 B a b \,e^{3} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-15 B \,b^{2} d \,e^{2} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+12 A \,b^{2} d \,e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+18 B a b d \,e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-30 B \,b^{2} d^{2} e x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+6 A \,b^{2} d^{2} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+9 B a b \,d^{2} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-15 B \,b^{2} d^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+6 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B b \,e^{2} x^{2}-16 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A b \,e^{2} x -12 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a \,e^{2} x +40 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B b d e x -4 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A a \,e^{2}-12 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A b d e -8 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a d e +30 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B b \,d^{2}\right)}{6 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \left(e x +d \right)^{\frac{3}{2}} e^{3}}"," ",0,"1/6*(b*x+a)^(1/2)*(6*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^2*b^2*e^3+9*B*a*b*e^3*x^2*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-15*B*b^2*d*e^2*x^2*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+12*A*b^2*d*e^2*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+18*B*a*b*d*e^2*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-30*B*b^2*d^2*e*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+6*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*b*e^2*x^2+6*A*b^2*d^2*e*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-16*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*b*e^2*x+9*B*a*b*d^2*e*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-15*B*b^2*d^3*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-12*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a*e^2*x+40*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*b*d*e*x-4*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*a*e^2-12*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*b*d*e-8*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a*d*e+30*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*b*d^2)/(b*e)^(1/2)/((b*x+a)*(e*x+d))^(1/2)/e^3/(e*x+d)^(3/2)","B"
2217,1,780,110,0.029000," ","int((b*x+a)^(3/2)*(B*x+A)/(e*x+d)^(7/2),x)","-\frac{\sqrt{b x +a}\, \left(-15 B a \,b^{2} e^{4} x^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+15 B \,b^{3} d \,e^{3} x^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-45 B a \,b^{2} d \,e^{3} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+45 B \,b^{3} d^{2} e^{2} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-45 B a \,b^{2} d^{2} e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+45 B \,b^{3} d^{3} e x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-15 B a \,b^{2} d^{3} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+15 B \,b^{3} d^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+6 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{2} e^{3} x^{2}+40 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a b \,e^{3} x^{2}-46 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{2} d \,e^{2} x^{2}+12 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A a b \,e^{3} x +10 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{2} e^{3} x +48 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a b d \,e^{2} x -70 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{2} d^{2} e x +6 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,a^{2} e^{3}+4 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{2} d \,e^{2}+20 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a b \,d^{2} e -30 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{2} d^{3}\right)}{15 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \left(a e -b d \right) \sqrt{b e}\, \left(e x +d \right)^{\frac{5}{2}} e^{3}}"," ",0,"-1/15*(b*x+a)^(1/2)*(-15*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^3*a*b^2*e^4+15*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^3*b^3*d*e^3-45*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^2*a*b^2*d*e^3+45*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^2*b^3*d^2*e^2+6*A*x^2*b^2*e^3*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-45*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a*b^2*d^2*e^2+45*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*b^3*d^3*e+40*B*x^2*a*b*e^3*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-46*B*x^2*b^2*d*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+12*A*x*a*b*e^3*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-15*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a*b^2*d^3*e+15*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*b^3*d^4+10*B*x*a^2*e^3*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+48*B*x*a*b*d*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-70*B*x*b^2*d^2*e*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+6*A*a^2*e^3*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+4*B*a^2*d*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+20*B*a*b*d^2*e*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-30*B*b^2*d^3*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/((b*x+a)*(e*x+d))^(1/2)/(a*e-b*d)/(b*e)^(1/2)/(e*x+d)^(5/2)/e^3","B"
2218,1,74,83,0.007000," ","int((b*x+a)^(3/2)*(B*x+A)/(e*x+d)^(9/2),x)","-\frac{2 \left(b x +a \right)^{\frac{5}{2}} \left(-2 A b e x +7 B a e x -5 B b d x +5 A a e -7 A b d +2 B a d \right)}{35 \left(e x +d \right)^{\frac{7}{2}} \left(a^{2} e^{2}-2 b e a d +b^{2} d^{2}\right)}"," ",0,"-2/35*(b*x+a)^(5/2)*(-2*A*b*e*x+7*B*a*e*x-5*B*b*d*x+5*A*a*e-7*A*b*d+2*B*a*d)/(e*x+d)^(7/2)/(a^2*e^2-2*a*b*d*e+b^2*d^2)","A"
2219,1,177,129,0.010000," ","int((b*x+a)^(3/2)*(B*x+A)/(e*x+d)^(11/2),x)","-\frac{2 \left(b x +a \right)^{\frac{5}{2}} \left(8 A \,b^{2} e^{2} x^{2}-18 B a b \,e^{2} x^{2}+10 B \,b^{2} d e \,x^{2}-20 A a b \,e^{2} x +36 A \,b^{2} d e x +45 B \,a^{2} e^{2} x -106 B a b d e x +45 B \,b^{2} d^{2} x +35 A \,a^{2} e^{2}-90 A a b d e +63 A \,b^{2} d^{2}+10 B \,a^{2} d e -18 B a b \,d^{2}\right)}{315 \left(e x +d \right)^{\frac{9}{2}} \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right)}"," ",0,"-2/315*(b*x+a)^(5/2)*(8*A*b^2*e^2*x^2-18*B*a*b*e^2*x^2+10*B*b^2*d*e*x^2-20*A*a*b*e^2*x+36*A*b^2*d*e*x+45*B*a^2*e^2*x-106*B*a*b*d*e*x+45*B*b^2*d^2*x+35*A*a^2*e^2-90*A*a*b*d*e+63*A*b^2*d^2+10*B*a^2*d*e-18*B*a*b*d^2)/(e*x+d)^(9/2)/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)","A"
2220,1,322,177,0.012000," ","int((b*x+a)^(3/2)*(B*x+A)/(e*x+d)^(13/2),x)","-\frac{2 \left(b x +a \right)^{\frac{5}{2}} \left(-48 A \,b^{3} e^{3} x^{3}+88 B a \,b^{2} e^{3} x^{3}-40 B \,b^{3} d \,e^{2} x^{3}+120 A a \,b^{2} e^{3} x^{2}-264 A \,b^{3} d \,e^{2} x^{2}-220 B \,a^{2} b \,e^{3} x^{2}+584 B a \,b^{2} d \,e^{2} x^{2}-220 B \,b^{3} d^{2} e \,x^{2}-210 A \,a^{2} b \,e^{3} x +660 A a \,b^{2} d \,e^{2} x -594 A \,b^{3} d^{2} e x +385 B \,a^{3} e^{3} x -1385 B \,a^{2} b d \,e^{2} x +1639 B a \,b^{2} d^{2} e x -495 B \,b^{3} d^{3} x +315 A \,a^{3} e^{3}-1155 A \,a^{2} b d \,e^{2}+1485 A a \,b^{2} d^{2} e -693 A \,b^{3} d^{3}+70 B \,a^{3} d \,e^{2}-220 B \,a^{2} b \,d^{2} e +198 B a \,b^{2} d^{3}\right)}{3465 \left(e x +d \right)^{\frac{11}{2}} \left(e^{4} a^{4}-4 b \,e^{3} d \,a^{3}+6 b^{2} e^{2} d^{2} a^{2}-4 a \,b^{3} d^{3} e +b^{4} d^{4}\right)}"," ",0,"-2/3465*(b*x+a)^(5/2)*(-48*A*b^3*e^3*x^3+88*B*a*b^2*e^3*x^3-40*B*b^3*d*e^2*x^3+120*A*a*b^2*e^3*x^2-264*A*b^3*d*e^2*x^2-220*B*a^2*b*e^3*x^2+584*B*a*b^2*d*e^2*x^2-220*B*b^3*d^2*e*x^2-210*A*a^2*b*e^3*x+660*A*a*b^2*d*e^2*x-594*A*b^3*d^2*e*x+385*B*a^3*e^3*x-1385*B*a^2*b*d*e^2*x+1639*B*a*b^2*d^2*e*x-495*B*b^3*d^3*x+315*A*a^3*e^3-1155*A*a^2*b*d*e^2+1485*A*a*b^2*d^2*e-693*A*b^3*d^3+70*B*a^3*d*e^2-220*B*a^2*b*d^2*e+198*B*a*b^2*d^3)/(e*x+d)^(11/2)/(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"
2221,1,505,225,0.013000," ","int((b*x+a)^(3/2)*(B*x+A)/(e*x+d)^(15/2),x)","-\frac{2 \left(b x +a \right)^{\frac{5}{2}} \left(128 A \,b^{4} e^{4} x^{4}-208 B a \,b^{3} e^{4} x^{4}+80 B \,b^{4} d \,e^{3} x^{4}-320 A a \,b^{3} e^{4} x^{3}+832 A \,b^{4} d \,e^{3} x^{3}+520 B \,a^{2} b^{2} e^{4} x^{3}-1552 B a \,b^{3} d \,e^{3} x^{3}+520 B \,b^{4} d^{2} e^{2} x^{3}+560 A \,a^{2} b^{2} e^{4} x^{2}-2080 A a \,b^{3} d \,e^{3} x^{2}+2288 A \,b^{4} d^{2} e^{2} x^{2}-910 B \,a^{3} b \,e^{4} x^{2}+3730 B \,a^{2} b^{2} d \,e^{3} x^{2}-5018 B a \,b^{3} d^{2} e^{2} x^{2}+1430 B \,b^{4} d^{3} e \,x^{2}-840 A \,a^{3} b \,e^{4} x +3640 A \,a^{2} b^{2} d \,e^{3} x -5720 A a \,b^{3} d^{2} e^{2} x +3432 A \,b^{4} d^{3} e x +1365 B \,a^{4} e^{4} x -6440 B \,a^{3} b d \,e^{3} x +11570 B \,a^{2} b^{2} d^{2} e^{2} x -9152 B a \,b^{3} d^{3} e x +2145 B \,b^{4} d^{4} x +1155 A \,a^{4} e^{4}-5460 A \,a^{3} b d \,e^{3}+10010 A \,a^{2} b^{2} d^{2} e^{2}-8580 A a \,b^{3} d^{3} e +3003 A \,b^{4} d^{4}+210 B \,a^{4} d \,e^{3}-910 B \,a^{3} b \,d^{2} e^{2}+1430 B \,a^{2} b^{2} d^{3} e -858 B a \,b^{3} d^{4}\right)}{15015 \left(e x +d \right)^{\frac{13}{2}} \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)}"," ",0,"-2/15015*(b*x+a)^(5/2)*(128*A*b^4*e^4*x^4-208*B*a*b^3*e^4*x^4+80*B*b^4*d*e^3*x^4-320*A*a*b^3*e^4*x^3+832*A*b^4*d*e^3*x^3+520*B*a^2*b^2*e^4*x^3-1552*B*a*b^3*d*e^3*x^3+520*B*b^4*d^2*e^2*x^3+560*A*a^2*b^2*e^4*x^2-2080*A*a*b^3*d*e^3*x^2+2288*A*b^4*d^2*e^2*x^2-910*B*a^3*b*e^4*x^2+3730*B*a^2*b^2*d*e^3*x^2-5018*B*a*b^3*d^2*e^2*x^2+1430*B*b^4*d^3*e*x^2-840*A*a^3*b*e^4*x+3640*A*a^2*b^2*d*e^3*x-5720*A*a*b^3*d^2*e^2*x+3432*A*b^4*d^3*e*x+1365*B*a^4*e^4*x-6440*B*a^3*b*d*e^3*x+11570*B*a^2*b^2*d^2*e^2*x-9152*B*a*b^3*d^3*e*x+2145*B*b^4*d^4*x+1155*A*a^4*e^4-5460*A*a^3*b*d*e^3+10010*A*a^2*b^2*d^2*e^2-8580*A*a*b^3*d^3*e+3003*A*b^4*d^4+210*B*a^4*d*e^3-910*B*a^3*b*d^2*e^2+1430*B*a^2*b^2*d^3*e-858*B*a*b^3*d^4)/(e*x+d)^(13/2)/(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)","B"
2222,1,722,268,0.014000," ","int((b*x+a)^(3/2)*(B*x+A)/(e*x+d)^(17/2),x)","-\frac{2 \left(b x +a \right)^{\frac{5}{2}} \left(-256 A \,b^{5} e^{5} x^{5}+384 B a \,b^{4} e^{5} x^{5}-128 B \,b^{5} d \,e^{4} x^{5}+640 A a \,b^{4} e^{5} x^{4}-1920 A \,b^{5} d \,e^{4} x^{4}-960 B \,a^{2} b^{3} e^{5} x^{4}+3200 B a \,b^{4} d \,e^{4} x^{4}-960 B \,b^{5} d^{2} e^{3} x^{4}-1120 A \,a^{2} b^{3} e^{5} x^{3}+4800 A a \,b^{4} d \,e^{4} x^{3}-6240 A \,b^{5} d^{2} e^{3} x^{3}+1680 B \,a^{3} b^{2} e^{5} x^{3}-7760 B \,a^{2} b^{3} d \,e^{4} x^{3}+11760 B a \,b^{4} d^{2} e^{3} x^{3}-3120 B \,b^{5} d^{3} e^{2} x^{3}+1680 A \,a^{3} b^{2} e^{5} x^{2}-8400 A \,a^{2} b^{3} d \,e^{4} x^{2}+15600 A a \,b^{4} d^{2} e^{3} x^{2}-11440 A \,b^{5} d^{3} e^{2} x^{2}-2520 B \,a^{4} b \,e^{5} x^{2}+13440 B \,a^{3} b^{2} d \,e^{4} x^{2}-27600 B \,a^{2} b^{3} d^{2} e^{3} x^{2}+24960 B a \,b^{4} d^{3} e^{2} x^{2}-5720 B \,b^{5} d^{4} e \,x^{2}-2310 A \,a^{4} b \,e^{5} x +12600 A \,a^{3} b^{2} d \,e^{4} x -27300 A \,a^{2} b^{3} d^{2} e^{3} x +28600 A a \,b^{4} d^{3} e^{2} x -12870 A \,b^{5} d^{4} e x +3465 B \,a^{5} e^{5} x -20055 B \,a^{4} b d \,e^{4} x +47250 B \,a^{3} b^{2} d^{2} e^{3} x -56550 B \,a^{2} b^{3} d^{3} e^{2} x +33605 B a \,b^{4} d^{4} e x -6435 B \,b^{5} d^{5} x +3003 A \,a^{5} e^{5}-17325 A \,a^{4} b d \,e^{4}+40950 A \,a^{3} b^{2} d^{2} e^{3}-50050 A \,a^{2} b^{3} d^{3} e^{2}+32175 A a \,b^{4} d^{4} e -9009 A \,b^{5} d^{5}+462 B \,a^{5} d \,e^{4}-2520 B \,a^{4} b \,d^{2} e^{3}+5460 B \,a^{3} b^{2} d^{3} e^{2}-5720 B \,a^{2} b^{3} d^{4} e +2574 B a \,b^{4} d^{5}\right)}{45045 \left(e x +d \right)^{\frac{15}{2}} \left(a^{6} e^{6}-6 a^{5} b d \,e^{5}+15 a^{4} b^{2} d^{2} e^{4}-20 a^{3} b^{3} d^{3} e^{3}+15 a^{2} b^{4} d^{4} e^{2}-6 a \,b^{5} d^{5} e +b^{6} d^{6}\right)}"," ",0,"-2/45045*(b*x+a)^(5/2)*(-256*A*b^5*e^5*x^5+384*B*a*b^4*e^5*x^5-128*B*b^5*d*e^4*x^5+640*A*a*b^4*e^5*x^4-1920*A*b^5*d*e^4*x^4-960*B*a^2*b^3*e^5*x^4+3200*B*a*b^4*d*e^4*x^4-960*B*b^5*d^2*e^3*x^4-1120*A*a^2*b^3*e^5*x^3+4800*A*a*b^4*d*e^4*x^3-6240*A*b^5*d^2*e^3*x^3+1680*B*a^3*b^2*e^5*x^3-7760*B*a^2*b^3*d*e^4*x^3+11760*B*a*b^4*d^2*e^3*x^3-3120*B*b^5*d^3*e^2*x^3+1680*A*a^3*b^2*e^5*x^2-8400*A*a^2*b^3*d*e^4*x^2+15600*A*a*b^4*d^2*e^3*x^2-11440*A*b^5*d^3*e^2*x^2-2520*B*a^4*b*e^5*x^2+13440*B*a^3*b^2*d*e^4*x^2-27600*B*a^2*b^3*d^2*e^3*x^2+24960*B*a*b^4*d^3*e^2*x^2-5720*B*b^5*d^4*e*x^2-2310*A*a^4*b*e^5*x+12600*A*a^3*b^2*d*e^4*x-27300*A*a^2*b^3*d^2*e^3*x+28600*A*a*b^4*d^3*e^2*x-12870*A*b^5*d^4*e*x+3465*B*a^5*e^5*x-20055*B*a^4*b*d*e^4*x+47250*B*a^3*b^2*d^2*e^3*x-56550*B*a^2*b^3*d^3*e^2*x+33605*B*a*b^4*d^4*e*x-6435*B*b^5*d^5*x+3003*A*a^5*e^5-17325*A*a^4*b*d*e^4+40950*A*a^3*b^2*d^2*e^3-50050*A*a^2*b^3*d^3*e^2+32175*A*a*b^4*d^4*e-9009*A*b^5*d^5+462*B*a^5*d*e^4-2520*B*a^4*b*d^2*e^3+5460*B*a^3*b^2*d^3*e^2-5720*B*a^2*b^3*d^4*e+2574*B*a*b^4*d^5)/(e*x+d)^(15/2)/(a^6*e^6-6*a^5*b*d*e^5+15*a^4*b^2*d^2*e^4-20*a^3*b^3*d^3*e^3+15*a^2*b^4*d^4*e^2-6*a*b^5*d^5*e+b^6*d^6)","B"
2223,1,2851,356,0.028000," ","int((b*x+a)^(5/2)*(B*x+A)*(e*x+d)^(5/2),x)","\text{output too large to display}"," ",0,"-1/43008*(b*x+a)^(1/2)*(e*x+d)^(1/2)*(525*B*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a*b^6*d^6*e-105*B*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^7*e^7-105*B*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*b^7*d^7+210*A*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^6*b*e^7+210*A*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*b^7*d^6*e+210*B*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*a^6*e^6+210*B*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*b^6*d^6-1016*B*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*x*a^3*b^3*d^2*e^4-1016*B*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*x*a^2*b^4*d^3*e^3+644*B*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*x*a*b^5*d^4*e^2-33264*A*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*x*a^2*b^4*d^2*e^4-1568*A*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*x*a*b^5*d^3*e^3+644*B*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*x*a^4*b^2*d*e^5-1568*A*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*x*a^3*b^3*d*e^5-512*B*x^2*a*b^5*d^3*e^3*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-19680*B*x^2*a^2*b^4*d^2*e^4*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-37376*B*x^4*a*b^5*d*e^5*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-47488*A*x^3*a*b^5*d*e^5*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-25504*B*x^3*a^2*b^4*d*e^5*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-25504*B*x^3*a*b^5*d^2*e^4*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-35616*A*x^2*a^2*b^4*d*e^5*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-35616*A*x^2*a*b^5*d^2*e^4*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-512*B*x^2*a^3*b^3*d*e^5*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-5544*A*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*a^2*b^4*d^3*e^3+2380*A*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*a*b^5*d^4*e^2-14848*B*x^5*a*b^5*e^6*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-14848*B*x^5*b^6*d*e^5*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-17920*A*x^4*a*b^5*e^6*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-17920*A*x^4*b^6*d*e^5*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-9472*B*x^4*a^2*b^4*e^6*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-9472*B*x^4*b^6*d^2*e^4*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-12096*A*x^3*a^2*b^4*e^6*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-12096*A*x^3*b^6*d^2*e^4*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-96*B*x^3*a^3*b^3*e^6*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-96*B*x^3*b^6*d^3*e^3*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-224*A*x^2*a^3*b^3*e^6*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-224*A*x^2*b^6*d^3*e^3*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)+112*B*x^2*a^4*b^2*e^6*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)+112*B*x^2*b^6*d^4*e^2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-980*B*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*a^5*b*d*e^5+1582*B*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*a^4*b^2*d^2*e^4-600*B*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*a^3*b^3*d^3*e^3+280*A*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*x*a^4*b^2*e^6+1582*B*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*a^2*b^4*d^4*e^2-980*B*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*a*b^5*d^5*e+525*B*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^4*b^3*d^3*e^4+525*B*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^3*b^4*d^4*e^3-945*B*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^5*b^2*d^2*e^5-945*B*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^2*b^5*d^5*e^2-4200*A*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^3*b^4*d^3*e^4+3150*A*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^2*b^5*d^4*e^3-1260*A*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a*b^6*d^5*e^2+525*B*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^6*b*d*e^6-1260*A*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^5*b^2*d*e^6+3150*A*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^4*b^3*d^2*e^5-420*A*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*a^5*b*e^6-420*A*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*b^6*d^5*e-6144*B*x^6*b^6*e^6*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)-7168*A*x^5*b^6*e^6*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)+280*A*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*x*b^6*d^4*e^2-140*B*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*x*a^5*b*e^6-140*B*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*x*b^6*d^5*e+2380*A*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*a^4*b^2*d*e^5-5544*A*(b*e)^(1/2)*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*a^3*b^3*d^2*e^4)/b^4/e^4/(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)/(b*e)^(1/2)","B"
2224,1,2198,308,0.020000," ","int((b*x+a)^(5/2)*(B*x+A)*(e*x+d)^(3/2),x)","\frac{\sqrt{b x +a}\, \sqrt{e x +d}\, \left(2560 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{5} e^{5} x^{5}+3072 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{5} e^{5} x^{4}+6400 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a \,b^{4} e^{5} x^{4}+3328 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{5} d \,e^{4} x^{4}+180 A \,a^{5} b \,e^{6} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-900 A \,a^{4} b^{2} d \,e^{5} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+1800 A \,a^{3} b^{3} d^{2} e^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-1800 A \,a^{2} b^{4} d^{3} e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+900 A a \,b^{5} d^{4} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+8064 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A a \,b^{4} e^{5} x^{3}-180 A \,b^{6} d^{5} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+4224 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{5} d \,e^{4} x^{3}-75 B \,a^{6} e^{6} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+270 B \,a^{5} b d \,e^{5} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-225 B \,a^{4} b^{2} d^{2} e^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-300 B \,a^{3} b^{3} d^{3} e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+675 B \,a^{2} b^{4} d^{4} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+4320 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{2} b^{3} e^{5} x^{3}-450 B a \,b^{5} d^{5} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+8896 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a \,b^{4} d \,e^{4} x^{3}+105 B \,b^{6} d^{6} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+96 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{5} d^{2} e^{3} x^{3}+5952 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,a^{2} b^{3} e^{5} x^{2}+12288 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A a \,b^{4} d \,e^{4} x^{2}+192 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{5} d^{2} e^{3} x^{2}+80 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{3} b^{2} e^{5} x^{2}+6768 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{2} b^{3} d \,e^{4} x^{2}+432 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a \,b^{4} d^{2} e^{3} x^{2}-112 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{5} d^{3} e^{2} x^{2}+240 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,a^{3} b^{2} e^{5} x +11184 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,a^{2} b^{3} d \,e^{4} x +1104 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A a \,b^{4} d^{2} e^{3} x -240 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{5} d^{3} e^{2} x -100 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{4} b \,e^{5} x +320 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{3} b^{2} d \,e^{4} x +696 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{2} b^{3} d^{2} e^{3} x -544 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a \,b^{4} d^{3} e^{2} x +140 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{5} d^{4} e x -360 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,a^{4} b \,e^{5}+1680 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,a^{3} b^{2} d \,e^{4}+3072 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,a^{2} b^{3} d^{2} e^{3}-1680 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A a \,b^{4} d^{3} e^{2}+360 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{5} d^{4} e +150 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{5} e^{5}-490 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{4} b d \,e^{4}+300 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{3} b^{2} d^{2} e^{3}-1092 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{2} b^{3} d^{3} e^{2}+830 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a \,b^{4} d^{4} e -210 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{5} d^{5}\right)}{15360 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, b^{3} e^{4}}"," ",0,"1/15360*(b*x+a)^(1/2)*(e*x+d)^(1/2)*(1800*A*a^3*b^3*d^2*e^4*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+180*A*a^5*b*e^6*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-75*B*a^6*e^6*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+105*B*b^6*d^6*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-180*A*b^6*d^5*e*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+150*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a^5*e^5-210*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*b^5*d^5+96*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*b^5*d^2*e^3*x^3+5952*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*a^2*b^3*e^5*x^2+192*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*b^5*d^2*e^3*x^2+80*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a^3*b^2*e^5*x^2+240*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*a^3*b^2*e^5*x-240*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*b^5*d^3*e^2*x-490*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a^4*b*d*e^4+300*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a^3*b^2*d^2*e^3-1092*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a^2*b^3*d^3*e^2+830*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a*b^4*d^4*e-900*A*a^4*b^2*d*e^5*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+270*B*a^5*b*d*e^5*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-225*B*a^4*b^2*d^2*e^4*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-300*B*a^3*b^3*d^3*e^3*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+675*B*a^2*b^4*d^4*e^2*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-1800*A*a^2*b^4*d^3*e^3*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+900*A*a*b^5*d^4*e^2*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-450*B*a*b^5*d^5*e*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-360*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*a^4*b*e^5+360*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*b^5*d^4*e+2560*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*b^5*e^5*x^5+3072*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*b^5*e^5*x^4+140*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*b^5*d^4*e*x+1680*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*a^3*b^2*d*e^4-1680*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*a*b^4*d^3*e^2+8064*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*a*b^4*e^5*x^3+4224*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*b^5*d*e^4*x^3+4320*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a^2*b^3*e^5*x^3+6768*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a^2*b^3*d*e^4*x^2+432*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a*b^4*d^2*e^3*x^2+8896*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a*b^4*d*e^4*x^3+12288*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*a*b^4*d*e^4*x^2+696*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a^2*b^3*d^2*e^3*x-544*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a*b^4*d^3*e^2*x+1104*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*a*b^4*d^2*e^3*x+320*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a^3*b^2*d*e^4*x+11184*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*a^2*b^3*d*e^4*x-112*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*b^5*d^3*e^2*x^2+3072*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*a^2*b^3*d^2*e^3+6400*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a*b^4*e^5*x^4+3328*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*b^5*d*e^4*x^4-100*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a^4*b*e^5*x)/b^3/e^4/(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)/(b*e)^(1/2)","B"
2225,1,1631,260,0.019000," ","int((b*x+a)^(5/2)*(B*x+A)*(e*x+d)^(1/2),x)","-\frac{\sqrt{b x +a}\, \sqrt{e x +d}\, \left(-768 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{4} e^{4} x^{4}+150 A \,a^{4} b \,e^{5} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-600 A \,a^{3} b^{2} d \,e^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+900 A \,a^{2} b^{3} d^{2} e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-600 A a \,b^{4} d^{3} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+150 A \,b^{5} d^{4} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-960 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{4} e^{4} x^{3}-45 B \,a^{5} e^{5} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+75 B \,a^{4} b d \,e^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+150 B \,a^{3} b^{2} d^{2} e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-450 B \,a^{2} b^{3} d^{3} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+375 B a \,b^{4} d^{4} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-2016 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a \,b^{3} e^{4} x^{3}-105 B \,b^{5} d^{5} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-96 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{4} d \,e^{3} x^{3}-2720 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A a \,b^{3} e^{4} x^{2}-160 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{4} d \,e^{3} x^{2}-1488 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{2} b^{2} e^{4} x^{2}-352 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a \,b^{3} d \,e^{3} x^{2}+112 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{4} d^{2} e^{2} x^{2}-2360 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,a^{2} b^{2} e^{4} x -720 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A a \,b^{3} d \,e^{3} x +200 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{4} d^{2} e^{2} x -60 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{3} b \,e^{4} x -436 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{2} b^{2} d \,e^{3} x +444 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a \,b^{3} d^{2} e^{2} x -140 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{4} d^{3} e x -300 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,a^{3} b \,e^{4}-1460 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,a^{2} b^{2} d \,e^{3}+1100 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A a \,b^{3} d^{2} e^{2}-300 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, A \,b^{4} d^{3} e +90 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{4} e^{4}-120 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{3} b d \,e^{3}+692 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,a^{2} b^{2} d^{2} e^{2}-680 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B a \,b^{3} d^{3} e +210 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, B \,b^{4} d^{4}\right)}{3840 \sqrt{b e \,x^{2}+a e x +b d x +a d}\, \sqrt{b e}\, b^{2} e^{4}}"," ",0,"-1/3840*(b*x+a)^(1/2)*(e*x+d)^(1/2)*(-300*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*a^3*b*e^4+150*A*b^5*d^4*e*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-45*B*a^5*e^5*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-105*B*b^5*d^5*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-720*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*a*b^3*d*e^3*x-352*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a*b^3*d*e^3*x^2+90*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a^4*e^4+210*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*b^4*d^4+150*A*a^4*b*e^5*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-436*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a^2*b^2*d*e^3*x+444*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a*b^3*d^2*e^2*x-768*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*b^4*e^4*x^4-960*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*b^4*e^4*x^3+375*B*a*b^4*d^4*e*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+692*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a^2*b^2*d^2*e^2-680*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a*b^3*d^3*e+200*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*b^4*d^2*e^2*x-60*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a^3*b*e^4*x-300*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*b^4*d^3*e-600*A*a^3*b^2*d*e^4*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+900*A*a^2*b^3*d^2*e^3*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-600*A*a*b^4*d^3*e^2*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+75*B*a^4*b*d*e^4*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+150*B*a^3*b^2*d^2*e^3*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-450*B*a^2*b^3*d^3*e^2*ln(1/2*(2*b*e*x+a*e+b*d+2*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-2720*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*a*b^3*e^4*x^2-160*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*b^4*d*e^3*x^2-1488*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a^2*b^2*e^4*x^2+112*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*b^4*d^2*e^2*x^2-120*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a^3*b*d*e^3-140*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*b^4*d^3*e*x-1460*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*a^2*b^2*d*e^3+1100*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*a*b^3*d^2*e^2-2360*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*A*a^2*b^2*e^4*x-2016*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*a*b^3*e^4*x^3-96*(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)*(b*e)^(1/2)*B*b^4*d*e^3*x^3)/b^2/(b*e*x^2+a*e*x+b*d*x+a*d)^(1/2)/e^4/(b*e)^(1/2)","B"
2226,1,968,208,0.025000," ","int((b*x+a)^(5/2)*(B*x+A)/(e*x+d)^(1/2),x)","\frac{\sqrt{b x +a}\, \sqrt{e x +d}\, \left(120 A \,a^{3} b \,e^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-360 A \,a^{2} b^{2} d \,e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+360 A a \,b^{3} d^{2} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-120 A \,b^{4} d^{3} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-15 B \,a^{4} e^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-60 B \,a^{3} b d \,e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+270 B \,a^{2} b^{2} d^{2} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-300 B a \,b^{3} d^{3} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+105 B \,b^{4} d^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+96 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B \,b^{3} e^{3} x^{3}+128 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, A \,b^{3} e^{3} x^{2}+272 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B a \,b^{2} e^{3} x^{2}-112 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B \,b^{3} d \,e^{2} x^{2}+416 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, A a \,b^{2} e^{3} x -160 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, A \,b^{3} d \,e^{2} x +236 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B \,a^{2} b \,e^{3} x -344 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B a \,b^{2} d \,e^{2} x +140 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B \,b^{3} d^{2} e x +528 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, A \,a^{2} b \,e^{3}-640 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, A a \,b^{2} d \,e^{2}+240 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, A \,b^{3} d^{2} e +30 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B \,a^{3} e^{3}-382 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B \,a^{2} b d \,e^{2}+530 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B a \,b^{2} d^{2} e -210 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B \,b^{3} d^{3}\right)}{384 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, b \,e^{4}}"," ",0,"1/384*(b*x+a)^(1/2)*(e*x+d)^(1/2)*(-360*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^2*b^2*d*e^3-210*B*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*b^3*d^3-15*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^4*e^4+105*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*b^4*d^4+120*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^3*b*e^4-120*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*b^4*d^3*e+30*B*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*a^3*e^3-344*B*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*x*a*b^2*d*e^2+360*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a*b^3*d^2*e^2+96*B*x^3*b^3*e^3*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)+128*A*x^2*b^3*e^3*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)-300*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a*b^3*d^3*e+528*A*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*a^2*b*e^3+240*A*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*b^3*d^2*e+270*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^2*b^2*d^2*e^2-60*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^3*b*d*e^3+416*A*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*x*a*b^2*e^3-160*A*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*x*b^3*d*e^2+236*B*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*x*a^2*b*e^3+140*B*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*x*b^3*d^2*e+272*B*x^2*a*b^2*e^3*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)-112*B*x^2*b^3*d*e^2*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)-640*A*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*a*b^2*d*e^2-382*B*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*a^2*b*d*e^2+530*B*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*a*b^2*d^2*e)/b/e^4/((b*x+a)*(e*x+d))^(1/2)/(b*e)^(1/2)","B"
2227,1,1184,217,0.032000," ","int((b*x+a)^(5/2)*(B*x+A)/(e*x+d)^(3/2),x)","\frac{\sqrt{b x +a}\, \left(90 A \,a^{2} b \,e^{4} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-180 A a \,b^{2} d \,e^{3} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+90 A \,b^{3} d^{2} e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+15 B \,a^{3} e^{4} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-135 B \,a^{2} b d \,e^{3} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+225 B a \,b^{2} d^{2} e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-105 B \,b^{3} d^{3} e x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+90 A \,a^{2} b d \,e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-180 A a \,b^{2} d^{2} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+90 A \,b^{3} d^{3} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+15 B \,a^{3} d \,e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-135 B \,a^{2} b \,d^{2} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+225 B a \,b^{2} d^{3} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-105 B \,b^{3} d^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+16 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{2} e^{3} x^{3}+24 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{2} e^{3} x^{2}+52 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a b \,e^{3} x^{2}-28 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{2} d \,e^{2} x^{2}+108 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A a b \,e^{3} x -60 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{2} d \,e^{2} x +66 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{2} e^{3} x -136 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a b d \,e^{2} x +70 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{2} d^{2} e x -96 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,a^{2} e^{3}+300 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A a b d \,e^{2}-180 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{2} d^{2} e +162 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{2} d \,e^{2}-380 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a b \,d^{2} e +210 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{2} d^{3}\right)}{48 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, \sqrt{e x +d}\, e^{4}}"," ",0,"1/48*(b*x+a)^(1/2)*(-96*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*a^2*e^3-180*A*b^2*d^2*e*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+90*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a^2*b*e^4+90*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*b^3*d^2*e^2+16*B*x^3*b^2*e^3*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+90*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^2*b*d*e^3-180*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a*b^2*d^2*e^2-135*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^2*b*d^2*e^2-105*B*b^3*d^4*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+225*B*a*b^2*d^2*e^2*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+52*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a*b*e^3*x^2-28*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*b^2*d*e^2*x^2+108*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*a*b*e^3*x+70*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*b^2*d^2*e*x-380*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a*b*d^2*e-136*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a*b*d*e^2*x+210*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*b^2*d^3+15*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a^3*e^4+90*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*b^3*d^3*e+15*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^3*d*e^3-60*A*x*b^2*d*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+300*A*a*b*d*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-180*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a*b^2*d*e^3-135*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a^2*b*d*e^3+24*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*b^2*e^3*x^2-105*B*b^3*d^3*e*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+225*B*a*b^2*d^3*e*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+66*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a^2*e^3*x+162*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a^2*d*e^2)/((b*x+a)*(e*x+d))^(1/2)/(b*e)^(1/2)/(e*x+d)^(1/2)/e^4","B"
2228,1,1250,219,0.026000," ","int((b*x+a)^(5/2)*(B*x+A)/(e*x+d)^(5/2),x)","\frac{\sqrt{b x +a}\, \left(60 A a \,b^{2} e^{4} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-60 A \,b^{3} d \,e^{3} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+45 B \,a^{2} b \,e^{4} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-150 B a \,b^{2} d \,e^{3} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+105 B \,b^{3} d^{2} e^{2} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+120 A a \,b^{2} d \,e^{3} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-120 A \,b^{3} d^{2} e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+90 B \,a^{2} b d \,e^{3} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-300 B a \,b^{2} d^{2} e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+210 B \,b^{3} d^{3} e x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+60 A a \,b^{2} d^{2} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-60 A \,b^{3} d^{3} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+45 B \,a^{2} b \,d^{2} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-150 B a \,b^{2} d^{3} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+105 B \,b^{3} d^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+12 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{2} e^{3} x^{3}+24 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{2} e^{3} x^{2}+54 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a b \,e^{3} x^{2}-42 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{2} d \,e^{2} x^{2}-112 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A a b \,e^{3} x +160 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{2} d \,e^{2} x -48 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{2} e^{3} x +316 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a b d \,e^{2} x -280 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{2} d^{2} e x -16 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,a^{2} e^{3}-80 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A a b d \,e^{2}+120 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{2} d^{2} e -32 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{2} d \,e^{2}+230 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a b \,d^{2} e -210 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{2} d^{3}\right)}{24 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, \left(e x +d \right)^{\frac{3}{2}} e^{4}}"," ",0,"1/24*(b*x+a)^(1/2)*(-16*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*a^2*e^3+120*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*b^2*d^2*e-120*A*b^3*d^2*e^2*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+12*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*b^2*e^3*x^3+60*A*a*b^2*d^2*e^2*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+45*B*a^2*b*d^2*e^2*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+105*B*b^3*d^4*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-150*B*a*b^2*d*e^3*x^2*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-300*B*a*b^2*d^2*e^2*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+54*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a*b*e^3*x^2-42*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*b^2*d*e^2*x^2-112*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*a*b*e^3*x-280*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*b^2*d^2*e*x+230*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a*b*d^2*e+316*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a*b*d*e^2*x-210*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*b^2*d^3-60*A*b^3*d^3*e*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+160*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*b^2*d*e^2*x-80*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*a*b*d*e^2+120*A*a*b^2*d*e^3*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+90*B*a^2*b*d*e^3*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+105*B*b^3*d^2*e^2*x^2*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+24*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*b^2*e^3*x^2+210*B*b^3*d^3*e*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-150*B*a*b^2*d^3*e*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-48*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a^2*e^3*x-32*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a^2*d*e^2+60*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^2*a*b^2*e^4-60*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^2*b^3*d*e^3+45*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^2*a^2*b*e^4)/((b*x+a)*(e*x+d))^(1/2)/(b*e)^(1/2)/(e*x+d)^(3/2)/e^4","B"
2229,1,1092,222,0.028000," ","int((b*x+a)^(5/2)*(B*x+A)/(e*x+d)^(7/2),x)","\frac{\left(30 A \,b^{3} e^{4} x^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+75 B a \,b^{2} e^{4} x^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-105 B \,b^{3} d \,e^{3} x^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+90 A \,b^{3} d \,e^{3} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+225 B a \,b^{2} d \,e^{3} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-315 B \,b^{3} d^{2} e^{2} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+90 A \,b^{3} d^{2} e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+225 B a \,b^{2} d^{2} e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-315 B \,b^{3} d^{3} e x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+30 A \,b^{3} d^{3} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+75 B a \,b^{2} d^{3} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-105 B \,b^{3} d^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+30 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{2} e^{3} x^{3}-92 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{2} e^{3} x^{2}-140 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a b \,e^{3} x^{2}+322 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{2} d \,e^{2} x^{2}-44 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A a b \,e^{3} x -140 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{2} d \,e^{2} x -20 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{2} e^{3} x -196 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a b d \,e^{2} x +490 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{2} d^{2} e x -12 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,a^{2} e^{3}-20 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A a b d \,e^{2}-60 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{2} d^{2} e -8 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{2} d \,e^{2}-80 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a b \,d^{2} e +210 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{2} d^{3}\right) \sqrt{b x +a}}{30 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, \left(e x +d \right)^{\frac{5}{2}} e^{4}}"," ",0,"1/30*(75*B*a*b^2*e^4*x^3*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-12*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*a^2*e^3-60*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*b^2*d^2*e+90*A*b^3*d^2*e^2*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+30*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*b^2*e^3*x^3-105*B*b^3*d^4*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+225*B*a*b^2*d*e^3*x^2*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+225*B*a*b^2*d^2*e^2*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-140*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a*b*e^3*x^2+322*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*b^2*d*e^2*x^2-44*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*a*b*e^3*x+490*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*b^2*d^2*e*x-80*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a*b*d^2*e-196*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a*b*d*e^2*x+30*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^3*b^3*e^4+210*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*b^2*d^3+30*A*b^3*d^3*e*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-140*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*b^2*d*e^2*x-20*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*a*b*d*e^2-105*B*b^3*d*e^3*x^3*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-315*B*b^3*d^2*e^2*x^2*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-92*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*b^2*e^3*x^2-315*B*b^3*d^3*e*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+75*B*a*b^2*d^3*e*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-20*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a^2*e^3*x-8*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a^2*d*e^2+90*A*b^3*d*e^3*x^2*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2)))*(b*x+a)^(1/2)/((b*x+a)*(e*x+d))^(1/2)/(b*e)^(1/2)/(e*x+d)^(5/2)/e^4","B"
2230,1,1089,133,0.029000," ","int((b*x+a)^(5/2)*(B*x+A)/(e*x+d)^(9/2),x)","-\frac{\sqrt{b x +a}\, \left(-105 B a \,b^{3} e^{5} x^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+105 B \,b^{4} d \,e^{4} x^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-420 B a \,b^{3} d \,e^{4} x^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+420 B \,b^{4} d^{2} e^{3} x^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-630 B a \,b^{3} d^{2} e^{3} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+630 B \,b^{4} d^{3} e^{2} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-420 B a \,b^{3} d^{3} e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+420 B \,b^{4} d^{4} e x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+30 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{3} e^{4} x^{3}-105 B a \,b^{3} d^{4} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+322 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a \,b^{2} e^{4} x^{3}+105 B \,b^{4} d^{5} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-352 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{3} d \,e^{3} x^{3}+90 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A a \,b^{2} e^{4} x^{2}+154 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{2} b \,e^{4} x^{2}+568 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a \,b^{2} d \,e^{3} x^{2}-812 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{3} d^{2} e^{2} x^{2}+90 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,a^{2} b \,e^{4} x +42 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{3} e^{4} x +92 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{2} b d \,e^{3} x +476 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a \,b^{2} d^{2} e^{2} x -700 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{3} d^{3} e x +30 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,a^{3} e^{4}+12 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{3} d \,e^{3}+28 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{2} b \,d^{2} e^{2}+140 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a \,b^{2} d^{3} e -210 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{3} d^{4}\right)}{105 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \left(a e -b d \right) \sqrt{b e}\, \left(e x +d \right)^{\frac{7}{2}} e^{4}}"," ",0,"-1/105*(b*x+a)^(1/2)*(105*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^4*b^4*d*e^4+30*A*a^3*e^4*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+105*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*b^4*d^5-210*B*b^3*d^4*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+476*B*x*a*b^2*d^2*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+568*B*x^2*a*b^2*d*e^3*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+92*B*x*a^2*b*d*e^3*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+90*A*x^2*a*b^2*e^4*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+154*B*x^2*a^2*b*e^4*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-812*B*x^2*b^3*d^2*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+90*A*x*a^2*b*e^4*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+420*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^3*b^4*d^2*e^3+630*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^2*b^4*d^3*e^2+420*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*b^4*d^4*e-105*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a*b^3*d^4*e+30*A*x^3*b^3*e^4*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+42*B*x*a^3*e^4*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+12*B*a^3*d*e^3*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-105*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^4*a*b^3*e^5-700*B*x*b^3*d^3*e*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+28*B*a^2*b*d^2*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+140*B*a*b^2*d^3*e*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-420*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^3*a*b^3*d*e^4-630*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^2*a*b^3*d^2*e^3-420*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a*b^3*d^3*e^2+322*B*x^3*a*b^2*e^4*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-352*B*x^3*b^3*d*e^3*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/((b*x+a)*(e*x+d))^(1/2)/(a*e-b*d)/(b*e)^(1/2)/(e*x+d)^(7/2)/e^4","B"
2231,1,74,83,0.007000," ","int((b*x+a)^(5/2)*(B*x+A)/(e*x+d)^(11/2),x)","-\frac{2 \left(b x +a \right)^{\frac{7}{2}} \left(-2 A b e x +9 B a e x -7 B b d x +7 A a e -9 A b d +2 B a d \right)}{63 \left(e x +d \right)^{\frac{9}{2}} \left(a^{2} e^{2}-2 b e a d +b^{2} d^{2}\right)}"," ",0,"-2/63*(b*x+a)^(7/2)*(-2*A*b*e*x+9*B*a*e*x-7*B*b*d*x+7*A*a*e-9*A*b*d+2*B*a*d)/(e*x+d)^(9/2)/(a^2*e^2-2*a*b*d*e+b^2*d^2)","A"
2232,1,177,129,0.008000," ","int((b*x+a)^(5/2)*(B*x+A)/(e*x+d)^(13/2),x)","-\frac{2 \left(b x +a \right)^{\frac{7}{2}} \left(8 A \,b^{2} e^{2} x^{2}-22 B a b \,e^{2} x^{2}+14 B \,b^{2} d e \,x^{2}-28 A a b \,e^{2} x +44 A \,b^{2} d e x +77 B \,a^{2} e^{2} x -170 B a b d e x +77 B \,b^{2} d^{2} x +63 A \,a^{2} e^{2}-154 A a b d e +99 A \,b^{2} d^{2}+14 B \,a^{2} d e -22 B a b \,d^{2}\right)}{693 \left(e x +d \right)^{\frac{11}{2}} \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right)}"," ",0,"-2/693*(b*x+a)^(7/2)*(8*A*b^2*e^2*x^2-22*B*a*b*e^2*x^2+14*B*b^2*d*e*x^2-28*A*a*b*e^2*x+44*A*b^2*d*e*x+77*B*a^2*e^2*x-170*B*a*b*d*e*x+77*B*b^2*d^2*x+63*A*a^2*e^2-154*A*a*b*d*e+99*A*b^2*d^2+14*B*a^2*d*e-22*B*a*b*d^2)/(e*x+d)^(11/2)/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)","A"
2233,1,322,177,0.011000," ","int((b*x+a)^(5/2)*(B*x+A)/(e*x+d)^(15/2),x)","-\frac{2 \left(b x +a \right)^{\frac{7}{2}} \left(-48 A \,b^{3} e^{3} x^{3}+104 B a \,b^{2} e^{3} x^{3}-56 B \,b^{3} d \,e^{2} x^{3}+168 A a \,b^{2} e^{3} x^{2}-312 A \,b^{3} d \,e^{2} x^{2}-364 B \,a^{2} b \,e^{3} x^{2}+872 B a \,b^{2} d \,e^{2} x^{2}-364 B \,b^{3} d^{2} e \,x^{2}-378 A \,a^{2} b \,e^{3} x +1092 A a \,b^{2} d \,e^{2} x -858 A \,b^{3} d^{2} e x +819 B \,a^{3} e^{3} x -2807 B \,a^{2} b d \,e^{2} x +3133 B a \,b^{2} d^{2} e x -1001 B \,b^{3} d^{3} x +693 A \,a^{3} e^{3}-2457 A \,a^{2} b d \,e^{2}+3003 A a \,b^{2} d^{2} e -1287 A \,b^{3} d^{3}+126 B \,a^{3} d \,e^{2}-364 B \,a^{2} b \,d^{2} e +286 B a \,b^{2} d^{3}\right)}{9009 \left(e x +d \right)^{\frac{13}{2}} \left(e^{4} a^{4}-4 b \,e^{3} d \,a^{3}+6 b^{2} e^{2} d^{2} a^{2}-4 a \,b^{3} d^{3} e +b^{4} d^{4}\right)}"," ",0,"-2/9009*(b*x+a)^(7/2)*(-48*A*b^3*e^3*x^3+104*B*a*b^2*e^3*x^3-56*B*b^3*d*e^2*x^3+168*A*a*b^2*e^3*x^2-312*A*b^3*d*e^2*x^2-364*B*a^2*b*e^3*x^2+872*B*a*b^2*d*e^2*x^2-364*B*b^3*d^2*e*x^2-378*A*a^2*b*e^3*x+1092*A*a*b^2*d*e^2*x-858*A*b^3*d^2*e*x+819*B*a^3*e^3*x-2807*B*a^2*b*d*e^2*x+3133*B*a*b^2*d^2*e*x-1001*B*b^3*d^3*x+693*A*a^3*e^3-2457*A*a^2*b*d*e^2+3003*A*a*b^2*d^2*e-1287*A*b^3*d^3+126*B*a^3*d*e^2-364*B*a^2*b*d^2*e+286*B*a*b^2*d^3)/(e*x+d)^(13/2)/(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"
2234,1,505,225,0.012000," ","int((b*x+a)^(5/2)*(B*x+A)/(e*x+d)^(17/2),x)","-\frac{2 \left(b x +a \right)^{\frac{7}{2}} \left(128 A \,b^{4} e^{4} x^{4}-240 B a \,b^{3} e^{4} x^{4}+112 B \,b^{4} d \,e^{3} x^{4}-448 A a \,b^{3} e^{4} x^{3}+960 A \,b^{4} d \,e^{3} x^{3}+840 B \,a^{2} b^{2} e^{4} x^{3}-2192 B a \,b^{3} d \,e^{3} x^{3}+840 B \,b^{4} d^{2} e^{2} x^{3}+1008 A \,a^{2} b^{2} e^{4} x^{2}-3360 A a \,b^{3} d \,e^{3} x^{2}+3120 A \,b^{4} d^{2} e^{2} x^{2}-1890 B \,a^{3} b \,e^{4} x^{2}+7182 B \,a^{2} b^{2} d \,e^{3} x^{2}-8790 B a \,b^{3} d^{2} e^{2} x^{2}+2730 B \,b^{4} d^{3} e \,x^{2}-1848 A \,a^{3} b \,e^{4} x +7560 A \,a^{2} b^{2} d \,e^{3} x -10920 A a \,b^{3} d^{2} e^{2} x +5720 A \,b^{4} d^{3} e x +3465 B \,a^{4} e^{4} x -15792 B \,a^{3} b d \,e^{3} x +27090 B \,a^{2} b^{2} d^{2} e^{2} x -20280 B a \,b^{3} d^{3} e x +5005 B \,b^{4} d^{4} x +3003 A \,a^{4} e^{4}-13860 A \,a^{3} b d \,e^{3}+24570 A \,a^{2} b^{2} d^{2} e^{2}-20020 A a \,b^{3} d^{3} e +6435 A \,b^{4} d^{4}+462 B \,a^{4} d \,e^{3}-1890 B \,a^{3} b \,d^{2} e^{2}+2730 B \,a^{2} b^{2} d^{3} e -1430 B a \,b^{3} d^{4}\right)}{45045 \left(e x +d \right)^{\frac{15}{2}} \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)}"," ",0,"-2/45045*(b*x+a)^(7/2)*(128*A*b^4*e^4*x^4-240*B*a*b^3*e^4*x^4+112*B*b^4*d*e^3*x^4-448*A*a*b^3*e^4*x^3+960*A*b^4*d*e^3*x^3+840*B*a^2*b^2*e^4*x^3-2192*B*a*b^3*d*e^3*x^3+840*B*b^4*d^2*e^2*x^3+1008*A*a^2*b^2*e^4*x^2-3360*A*a*b^3*d*e^3*x^2+3120*A*b^4*d^2*e^2*x^2-1890*B*a^3*b*e^4*x^2+7182*B*a^2*b^2*d*e^3*x^2-8790*B*a*b^3*d^2*e^2*x^2+2730*B*b^4*d^3*e*x^2-1848*A*a^3*b*e^4*x+7560*A*a^2*b^2*d*e^3*x-10920*A*a*b^3*d^2*e^2*x+5720*A*b^4*d^3*e*x+3465*B*a^4*e^4*x-15792*B*a^3*b*d*e^3*x+27090*B*a^2*b^2*d^2*e^2*x-20280*B*a*b^3*d^3*e*x+5005*B*b^4*d^4*x+3003*A*a^4*e^4-13860*A*a^3*b*d*e^3+24570*A*a^2*b^2*d^2*e^2-20020*A*a*b^3*d^3*e+6435*A*b^4*d^4+462*B*a^4*d*e^3-1890*B*a^3*b*d^2*e^2+2730*B*a^2*b^2*d^3*e-1430*B*a*b^3*d^4)/(e*x+d)^(15/2)/(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)","B"
2235,1,722,273,0.017000," ","int((b*x+a)^(5/2)*(B*x+A)/(e*x+d)^(19/2),x)","-\frac{2 \left(b x +a \right)^{\frac{7}{2}} \left(-1280 A \,b^{5} e^{5} x^{5}+2176 B a \,b^{4} e^{5} x^{5}-896 B \,b^{5} d \,e^{4} x^{5}+4480 A a \,b^{4} e^{5} x^{4}-10880 A \,b^{5} d \,e^{4} x^{4}-7616 B \,a^{2} b^{3} e^{5} x^{4}+21632 B a \,b^{4} d \,e^{4} x^{4}-7616 B \,b^{5} d^{2} e^{3} x^{4}-10080 A \,a^{2} b^{3} e^{5} x^{3}+38080 A a \,b^{4} d \,e^{4} x^{3}-40800 A \,b^{5} d^{2} e^{3} x^{3}+17136 B \,a^{3} b^{2} e^{5} x^{3}-71792 B \,a^{2} b^{3} d \,e^{4} x^{3}+96016 B a \,b^{4} d^{2} e^{3} x^{3}-28560 B \,b^{5} d^{3} e^{2} x^{3}+18480 A \,a^{3} b^{2} e^{5} x^{2}-85680 A \,a^{2} b^{3} d \,e^{4} x^{2}+142800 A a \,b^{4} d^{2} e^{3} x^{2}-88400 A \,b^{5} d^{3} e^{2} x^{2}-31416 B \,a^{4} b \,e^{5} x^{2}+158592 B \,a^{3} b^{2} d \,e^{4} x^{2}-302736 B \,a^{2} b^{3} d^{2} e^{3} x^{2}+250240 B a \,b^{4} d^{3} e^{2} x^{2}-61880 B \,b^{5} d^{4} e \,x^{2}-30030 A \,a^{4} b \,e^{5} x +157080 A \,a^{3} b^{2} d \,e^{4} x -321300 A \,a^{2} b^{3} d^{2} e^{3} x +309400 A a \,b^{4} d^{3} e^{2} x -121550 A \,b^{5} d^{4} e x +51051 B \,a^{5} e^{5} x -288057 B \,a^{4} b d \,e^{4} x +656166 B \,a^{3} b^{2} d^{2} e^{3} x -750890 B \,a^{2} b^{3} d^{3} e^{2} x +423215 B a \,b^{4} d^{4} e x -85085 B \,b^{5} d^{5} x +45045 A \,a^{5} e^{5}-255255 A \,a^{4} b d \,e^{4}+589050 A \,a^{3} b^{2} d^{2} e^{3}-696150 A \,a^{2} b^{3} d^{3} e^{2}+425425 A a \,b^{4} d^{4} e -109395 A \,b^{5} d^{5}+6006 B \,a^{5} d \,e^{4}-31416 B \,a^{4} b \,d^{2} e^{3}+64260 B \,a^{3} b^{2} d^{3} e^{2}-61880 B \,a^{2} b^{3} d^{4} e +24310 B a \,b^{4} d^{5}\right)}{765765 \left(e x +d \right)^{\frac{17}{2}} \left(a^{6} e^{6}-6 a^{5} b d \,e^{5}+15 a^{4} b^{2} d^{2} e^{4}-20 a^{3} b^{3} d^{3} e^{3}+15 a^{2} b^{4} d^{4} e^{2}-6 a \,b^{5} d^{5} e +b^{6} d^{6}\right)}"," ",0,"-2/765765*(b*x+a)^(7/2)*(-1280*A*b^5*e^5*x^5+2176*B*a*b^4*e^5*x^5-896*B*b^5*d*e^4*x^5+4480*A*a*b^4*e^5*x^4-10880*A*b^5*d*e^4*x^4-7616*B*a^2*b^3*e^5*x^4+21632*B*a*b^4*d*e^4*x^4-7616*B*b^5*d^2*e^3*x^4-10080*A*a^2*b^3*e^5*x^3+38080*A*a*b^4*d*e^4*x^3-40800*A*b^5*d^2*e^3*x^3+17136*B*a^3*b^2*e^5*x^3-71792*B*a^2*b^3*d*e^4*x^3+96016*B*a*b^4*d^2*e^3*x^3-28560*B*b^5*d^3*e^2*x^3+18480*A*a^3*b^2*e^5*x^2-85680*A*a^2*b^3*d*e^4*x^2+142800*A*a*b^4*d^2*e^3*x^2-88400*A*b^5*d^3*e^2*x^2-31416*B*a^4*b*e^5*x^2+158592*B*a^3*b^2*d*e^4*x^2-302736*B*a^2*b^3*d^2*e^3*x^2+250240*B*a*b^4*d^3*e^2*x^2-61880*B*b^5*d^4*e*x^2-30030*A*a^4*b*e^5*x+157080*A*a^3*b^2*d*e^4*x-321300*A*a^2*b^3*d^2*e^3*x+309400*A*a*b^4*d^3*e^2*x-121550*A*b^5*d^4*e*x+51051*B*a^5*e^5*x-288057*B*a^4*b*d*e^4*x+656166*B*a^3*b^2*d^2*e^3*x-750890*B*a^2*b^3*d^3*e^2*x+423215*B*a*b^4*d^4*e*x-85085*B*b^5*d^5*x+45045*A*a^5*e^5-255255*A*a^4*b*d*e^4+589050*A*a^3*b^2*d^2*e^3-696150*A*a^2*b^3*d^3*e^2+425425*A*a*b^4*d^4*e-109395*A*b^5*d^5+6006*B*a^5*d*e^4-31416*B*a^4*b*d^2*e^3+64260*B*a^3*b^2*d^3*e^2-61880*B*a^2*b^3*d^4*e+24310*B*a*b^4*d^5)/(e*x+d)^(17/2)/(a^6*e^6-6*a^5*b*d*e^5+15*a^4*b^2*d^2*e^4-20*a^3*b^3*d^3*e^3+15*a^2*b^4*d^4*e^2-6*a*b^5*d^5*e+b^6*d^6)","B"
2236,1,968,208,0.026000," ","int((B*x+A)*(e*x+d)^(5/2)/(b*x+a)^(1/2),x)","-\frac{\sqrt{e x +d}\, \sqrt{b x +a}\, \left(120 A \,a^{3} b \,e^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-360 A \,a^{2} b^{2} d \,e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+360 A a \,b^{3} d^{2} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-120 A \,b^{4} d^{3} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-105 B \,a^{4} e^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+300 B \,a^{3} b d \,e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-270 B \,a^{2} b^{2} d^{2} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+60 B a \,b^{3} d^{3} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+15 B \,b^{4} d^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-96 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B \,b^{3} e^{3} x^{3}-128 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, A \,b^{3} e^{3} x^{2}+112 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B a \,b^{2} e^{3} x^{2}-272 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B \,b^{3} d \,e^{2} x^{2}+160 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, A a \,b^{2} e^{3} x -416 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, A \,b^{3} d \,e^{2} x -140 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B \,a^{2} b \,e^{3} x +344 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B a \,b^{2} d \,e^{2} x -236 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B \,b^{3} d^{2} e x -240 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, A \,a^{2} b \,e^{3}+640 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, A a \,b^{2} d \,e^{2}-528 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, A \,b^{3} d^{2} e +210 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B \,a^{3} e^{3}-530 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B \,a^{2} b d \,e^{2}+382 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B a \,b^{2} d^{2} e -30 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B \,b^{3} d^{3}\right)}{384 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, b^{4} e}"," ",0,"-1/384*(e*x+d)^(1/2)*(b*x+a)^(1/2)*(-360*A*a^2*b^2*d*e^3*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-30*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*B*b^3*d^3-105*B*a^4*e^4*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+15*B*b^4*d^4*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+120*A*a^3*b*e^4*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-120*A*b^4*d^3*e*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+210*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*B*a^3*e^3+344*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*B*a*b^2*d*e^2*x+360*A*a*b^3*d^2*e^2*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-96*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*B*b^3*e^3*x^3-128*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*A*b^3*e^3*x^2+60*B*a*b^3*d^3*e*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-240*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*A*a^2*b*e^3-528*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*A*b^3*d^2*e-270*B*a^2*b^2*d^2*e^2*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+300*B*a^3*b*d*e^3*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+160*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*A*a*b^2*e^3*x-416*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*A*b^3*d*e^2*x-140*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*B*a^2*b*e^3*x-236*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*B*b^3*d^2*e*x+112*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*B*a*b^2*e^3*x^2-272*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*B*b^3*d*e^2*x^2+640*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*A*a*b^2*d*e^2-530*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*B*a^2*b*d*e^2+382*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*B*a*b^2*d^2*e)/b^4/e/((b*x+a)*(e*x+d))^(1/2)/(b*e)^(1/2)","B"
2237,1,636,161,0.023000," ","int((B*x+A)*(e*x+d)^(3/2)/(b*x+a)^(1/2),x)","\frac{\sqrt{e x +d}\, \sqrt{b x +a}\, \left(18 A \,a^{2} b \,e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-36 A a \,b^{2} d \,e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+18 A \,b^{3} d^{2} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-15 B \,a^{3} e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+27 B \,a^{2} b d \,e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-9 B a \,b^{2} d^{2} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-3 B \,b^{3} d^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+16 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B \,b^{2} e^{2} x^{2}+24 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{2} e^{2} x -20 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a b \,e^{2} x +28 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{2} d e x -36 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, A a b \,e^{2}+60 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, A \,b^{2} d e +30 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{2} e^{2}-44 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B a b d e +6 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B \,b^{2} d^{2}\right)}{48 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, b^{3} e}"," ",0,"1/48*(e*x+d)^(1/2)*(b*x+a)^(1/2)*(16*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*B*b^2*e^2*x^2+18*A*a^2*b*e^3*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-36*A*a*b^2*d*e^2*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+18*A*b^3*d^2*e*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+24*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*b^2*e^2*x-15*B*a^3*e^3*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+27*B*a^2*b*d*e^2*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-9*B*a*b^2*d^2*e*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-3*B*b^3*d^3*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-20*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a*b*e^2*x+28*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*b^2*d*e*x-36*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*A*a*b*e^2+60*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*A*b^2*d*e+30*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a^2*e^2-44*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*B*a*b*d*e+6*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*B*b^2*d^2)/b^3/e/((b*x+a)*(e*x+d))^(1/2)/(b*e)^(1/2)","B"
2238,1,375,114,0.017000," ","int((B*x+A)*(e*x+d)^(1/2)/(b*x+a)^(1/2),x)","-\frac{\sqrt{e x +d}\, \sqrt{b x +a}\, \left(4 A a b \,e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-4 A \,b^{2} d e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-3 B \,a^{2} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+2 B a b d e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+B \,b^{2} d^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-4 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B b e x -8 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, A b e +6 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a e -2 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, B b d \right)}{8 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, b^{2} e}"," ",0,"-1/8*(e*x+d)^(1/2)*(b*x+a)^(1/2)*(4*A*a*b*e^2*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-4*A*b^2*d*e*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-3*B*a^2*e^2*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+2*B*a*b*d*e*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+B*b^2*d^2*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-4*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*b*e*x-8*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*A*b*e+6*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a*e-2*(b*e)^(1/2)*((b*x+a)*(e*x+d))^(1/2)*B*b*d)/((b*x+a)*(e*x+d))^(1/2)/b^2/e/(b*e)^(1/2)","B"
2239,1,198,68,0.022000," ","int((B*x+A)/(b*x+a)^(1/2)/(e*x+d)^(1/2),x)","\frac{\left(2 A b e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-B a e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-B b d \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \right) \sqrt{b x +a}\, \sqrt{e x +d}}{2 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, b e}"," ",0,"1/2*(2*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*b*e-B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a*e-B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*b*d+2*B*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))*(b*x+a)^(1/2)*(e*x+d)^(1/2)/b/(b*e)^(1/2)/e/((b*x+a)*(e*x+d))^(1/2)","B"
2240,1,278,69,0.024000," ","int((B*x+A)/(e*x+d)^(3/2)/(b*x+a)^(1/2),x)","\frac{\left(B a \,e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-B b d e x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+B a d e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-B b \,d^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A e +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B d \right) \sqrt{b x +a}}{\sqrt{b e}\, \left(a e -b d \right) \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{e x +d}\, e}"," ",0,"(B*a*e^2*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-B*b*d*e*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+B*a*d*e*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-B*b*d^2*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*e+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*d)*(b*x+a)^(1/2)/(b*e)^(1/2)/(a*e-b*d)/((b*x+a)*(e*x+d))^(1/2)/e/(e*x+d)^(1/2)","B"
2241,1,73,82,0.008000," ","int((B*x+A)/(e*x+d)^(5/2)/(b*x+a)^(1/2),x)","-\frac{2 \sqrt{b x +a}\, \left(-2 A b e x +3 B a e x -B b d x +A a e -3 A b d +2 B a d \right)}{3 \left(e x +d \right)^{\frac{3}{2}} \left(a^{2} e^{2}-2 b e a d +b^{2} d^{2}\right)}"," ",0,"-2/3*(b*x+a)^(1/2)*(-2*A*b*e*x+3*B*a*e*x-B*b*d*x+A*a*e-3*A*b*d+2*B*a*d)/(e*x+d)^(3/2)/(a^2*e^2-2*a*b*d*e+b^2*d^2)","A"
2242,1,177,127,0.007000," ","int((B*x+A)/(e*x+d)^(7/2)/(b*x+a)^(1/2),x)","-\frac{2 \sqrt{b x +a}\, \left(8 A \,b^{2} e^{2} x^{2}-10 B a b \,e^{2} x^{2}+2 B \,b^{2} d e \,x^{2}-4 A a b \,e^{2} x +20 A \,b^{2} d e x +5 B \,a^{2} e^{2} x -26 B a b d e x +5 B \,b^{2} d^{2} x +3 A \,a^{2} e^{2}-10 A a b d e +15 A \,b^{2} d^{2}+2 B \,a^{2} d e -10 B a b \,d^{2}\right)}{15 \left(e x +d \right)^{\frac{5}{2}} \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right)}"," ",0,"-2/15*(b*x+a)^(1/2)*(8*A*b^2*e^2*x^2-10*B*a*b*e^2*x^2+2*B*b^2*d*e*x^2-4*A*a*b*e^2*x+20*A*b^2*d*e*x+5*B*a^2*e^2*x-26*B*a*b*d*e*x+5*B*b^2*d^2*x+3*A*a^2*e^2-10*A*a*b*d*e+15*A*b^2*d^2+2*B*a^2*d*e-10*B*a*b*d^2)/(e*x+d)^(5/2)/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)","A"
2243,1,322,174,0.010000," ","int((B*x+A)/(e*x+d)^(9/2)/(b*x+a)^(1/2),x)","-\frac{2 \sqrt{b x +a}\, \left(-48 A \,b^{3} e^{3} x^{3}+56 B a \,b^{2} e^{3} x^{3}-8 B \,b^{3} d \,e^{2} x^{3}+24 A a \,b^{2} e^{3} x^{2}-168 A \,b^{3} d \,e^{2} x^{2}-28 B \,a^{2} b \,e^{3} x^{2}+200 B a \,b^{2} d \,e^{2} x^{2}-28 B \,b^{3} d^{2} e \,x^{2}-18 A \,a^{2} b \,e^{3} x +84 A a \,b^{2} d \,e^{2} x -210 A \,b^{3} d^{2} e x +21 B \,a^{3} e^{3} x -101 B \,a^{2} b d \,e^{2} x +259 B a \,b^{2} d^{2} e x -35 B \,b^{3} d^{3} x +15 A \,a^{3} e^{3}-63 A \,a^{2} b d \,e^{2}+105 A a \,b^{2} d^{2} e -105 A \,b^{3} d^{3}+6 B \,a^{3} d \,e^{2}-28 B \,a^{2} b \,d^{2} e +70 B a \,b^{2} d^{3}\right)}{105 \left(e x +d \right)^{\frac{7}{2}} \left(e^{4} a^{4}-4 b \,e^{3} d \,a^{3}+6 b^{2} e^{2} d^{2} a^{2}-4 a \,b^{3} d^{3} e +b^{4} d^{4}\right)}"," ",0,"-2/105*(b*x+a)^(1/2)*(-48*A*b^3*e^3*x^3+56*B*a*b^2*e^3*x^3-8*B*b^3*d*e^2*x^3+24*A*a*b^2*e^3*x^2-168*A*b^3*d*e^2*x^2-28*B*a^2*b*e^3*x^2+200*B*a*b^2*d*e^2*x^2-28*B*b^3*d^2*e*x^2-18*A*a^2*b*e^3*x+84*A*a*b^2*d*e^2*x-210*A*b^3*d^2*e*x+21*B*a^3*e^3*x-101*B*a^2*b*d*e^2*x+259*B*a*b^2*d^2*e*x-35*B*b^3*d^3*x+15*A*a^3*e^3-63*A*a^2*b*d*e^2+105*A*a*b^2*d^2*e-105*A*b^3*d^3+6*B*a^3*d*e^2-28*B*a^2*b*d^2*e+70*B*a*b^2*d^3)/(e*x+d)^(7/2)/(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"
2244,1,505,221,0.012000," ","int((B*x+A)/(e*x+d)^(11/2)/(b*x+a)^(1/2),x)","-\frac{2 \sqrt{b x +a}\, \left(128 A \,b^{4} e^{4} x^{4}-144 B a \,b^{3} e^{4} x^{4}+16 B \,b^{4} d \,e^{3} x^{4}-64 A a \,b^{3} e^{4} x^{3}+576 A \,b^{4} d \,e^{3} x^{3}+72 B \,a^{2} b^{2} e^{4} x^{3}-656 B a \,b^{3} d \,e^{3} x^{3}+72 B \,b^{4} d^{2} e^{2} x^{3}+48 A \,a^{2} b^{2} e^{4} x^{2}-288 A a \,b^{3} d \,e^{3} x^{2}+1008 A \,b^{4} d^{2} e^{2} x^{2}-54 B \,a^{3} b \,e^{4} x^{2}+330 B \,a^{2} b^{2} d \,e^{3} x^{2}-1170 B a \,b^{3} d^{2} e^{2} x^{2}+126 B \,b^{4} d^{3} e \,x^{2}-40 A \,a^{3} b \,e^{4} x +216 A \,a^{2} b^{2} d \,e^{3} x -504 A a \,b^{3} d^{2} e^{2} x +840 A \,b^{4} d^{3} e x +45 B \,a^{4} e^{4} x -248 B \,a^{3} b d \,e^{3} x +594 B \,a^{2} b^{2} d^{2} e^{2} x -1008 B a \,b^{3} d^{3} e x +105 B \,b^{4} d^{4} x +35 A \,a^{4} e^{4}-180 A \,a^{3} b d \,e^{3}+378 A \,a^{2} b^{2} d^{2} e^{2}-420 A a \,b^{3} d^{3} e +315 A \,b^{4} d^{4}+10 B \,a^{4} d \,e^{3}-54 B \,a^{3} b \,d^{2} e^{2}+126 B \,a^{2} b^{2} d^{3} e -210 B a \,b^{3} d^{4}\right)}{315 \left(e x +d \right)^{\frac{9}{2}} \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)}"," ",0,"-2/315*(b*x+a)^(1/2)*(128*A*b^4*e^4*x^4-144*B*a*b^3*e^4*x^4+16*B*b^4*d*e^3*x^4-64*A*a*b^3*e^4*x^3+576*A*b^4*d*e^3*x^3+72*B*a^2*b^2*e^4*x^3-656*B*a*b^3*d*e^3*x^3+72*B*b^4*d^2*e^2*x^3+48*A*a^2*b^2*e^4*x^2-288*A*a*b^3*d*e^3*x^2+1008*A*b^4*d^2*e^2*x^2-54*B*a^3*b*e^4*x^2+330*B*a^2*b^2*d*e^3*x^2-1170*B*a*b^3*d^2*e^2*x^2+126*B*b^4*d^3*e*x^2-40*A*a^3*b*e^4*x+216*A*a^2*b^2*d*e^3*x-504*A*a*b^3*d^2*e^2*x+840*A*b^4*d^3*e*x+45*B*a^4*e^4*x-248*B*a^3*b*d*e^3*x+594*B*a^2*b^2*d^2*e^2*x-1008*B*a*b^3*d^3*e*x+105*B*b^4*d^4*x+35*A*a^4*e^4-180*A*a^3*b*d*e^3+378*A*a^2*b^2*d^2*e^2-420*A*a*b^3*d^3*e+315*A*b^4*d^4+10*B*a^4*d*e^3-54*B*a^3*b*d^2*e^2+126*B*a^2*b^2*d^3*e-210*B*a*b^3*d^4)/(e*x+d)^(9/2)/(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)","B"
2245,1,1184,213,0.033000," ","int((B*x+A)*(e*x+d)^(5/2)/(b*x+a)^(3/2),x)","\frac{\sqrt{e x +d}\, \left(90 A \,a^{2} b^{2} e^{3} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-180 A a \,b^{3} d \,e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+90 A \,b^{4} d^{2} e x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-105 B \,a^{3} b \,e^{3} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+225 B \,a^{2} b^{2} d \,e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-135 B a \,b^{3} d^{2} e x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+15 B \,b^{4} d^{3} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+90 A \,a^{3} b \,e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-180 A \,a^{2} b^{2} d \,e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+90 A a \,b^{3} d^{2} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-105 B \,a^{4} e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+225 B \,a^{3} b d \,e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-135 B \,a^{2} b^{2} d^{2} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+15 B a \,b^{3} d^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+16 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{3} e^{2} x^{3}+24 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{3} e^{2} x^{2}-28 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a \,b^{2} e^{2} x^{2}+52 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{3} d e \,x^{2}-60 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A a \,b^{2} e^{2} x +108 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{3} d e x +70 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{2} b \,e^{2} x -136 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a \,b^{2} d e x +66 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{3} d^{2} x -180 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,a^{2} b \,e^{2}+300 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A a \,b^{2} d e -96 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{3} d^{2}+210 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{3} e^{2}-380 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{2} b d e +162 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a \,b^{2} d^{2}\right)}{48 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, \sqrt{b x +a}\, b^{4}}"," ",0,"1/48*(e*x+d)^(1/2)*(16*B*x^3*b^3*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+90*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^3*b*e^3-105*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^4*e^3-136*B*x*a*b^2*d*e*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+15*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a*b^3*d^3-96*A*b^3*d^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+210*B*a^3*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+15*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*b^4*d^3+66*B*x*b^3*d^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-180*A*a^2*b*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+162*B*a*b^2*d^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+90*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a^2*b^2*e^3+90*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*b^4*d^2*e-105*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a^3*b*e^3-180*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^2*b^2*d*e^2+90*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a*b^3*d^2*e+225*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^3*b*d*e^2-135*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^2*b^2*d^2*e+24*A*x^2*b^3*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-380*B*a^2*b*d*e*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-180*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a*b^3*d*e^2+225*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a^2*b^2*d*e^2-135*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a*b^3*d^2*e-28*B*x^2*a*b^2*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+52*B*x^2*b^3*d*e*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-60*A*x*a*b^2*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+108*A*x*b^3*d*e*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+70*B*x*a^2*b*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+300*A*a*b^2*d*e*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/((b*x+a)*(e*x+d))^(1/2)/(b*e)^(1/2)/(b*x+a)^(1/2)/b^4","B"
2246,1,740,169,0.023000," ","int((B*x+A)*(e*x+d)^(3/2)/(b*x+a)^(3/2),x)","-\frac{\sqrt{e x +d}\, \left(12 A a \,b^{2} e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-12 A \,b^{3} d e x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-15 B \,a^{2} b \,e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+18 B a \,b^{2} d e x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-3 B \,b^{3} d^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+12 A \,a^{2} b \,e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-12 A a \,b^{2} d e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-15 B \,a^{3} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+18 B \,a^{2} b d e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-3 B a \,b^{2} d^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-4 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{2} e \,x^{2}-8 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{2} e x +10 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a b e x -10 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{2} d x -24 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A a b e +16 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{2} d +30 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{2} e -26 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a b d \right)}{8 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, \sqrt{b x +a}\, b^{3}}"," ",0,"-1/8*(e*x+d)^(1/2)*(12*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a*b^2*e^2-12*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*b^3*d*e-15*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a^2*b*e^2+18*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a*b^2*d*e-3*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*b^3*d^2-4*B*x^2*b^2*e*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+12*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^2*b*e^2-12*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a*b^2*d*e-8*A*x*b^2*e*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-15*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^3*e^2+18*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^2*b*d*e-3*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a*b^2*d^2+10*B*x*a*b*e*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-10*B*x*b^2*d*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-24*A*a*b*e*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+16*A*b^2*d*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+30*B*a^2*e*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-26*B*a*b*d*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/((b*x+a)*(e*x+d))^(1/2)/(b*e)^(1/2)/(b*x+a)^(1/2)/b^3","B"
2247,1,386,125,0.024000," ","int((B*x+A)*(e*x+d)^(1/2)/(b*x+a)^(3/2),x)","\frac{\sqrt{e x +d}\, \left(2 A \,b^{2} e x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-3 B a b e x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+B \,b^{2} d x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+2 A a b e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-3 B \,a^{2} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+B a b d \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B b x -4 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A b +6 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a \right)}{2 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b x +a}\, b^{2}}"," ",0,"1/2*(e*x+d)^(1/2)*(2*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*b^2*e-3*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a*b*e+B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*b^2*d+2*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a*b*e-3*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^2*e+B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a*b*d+2*B*x*b*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-4*A*b*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+6*B*a*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2)/((b*x+a)*(e*x+d))^(1/2)/b^2/(b*x+a)^(1/2)","B"
2248,1,278,69,0.024000," ","int((B*x+A)/(b*x+a)^(3/2)/(e*x+d)^(1/2),x)","\frac{\sqrt{e x +d}\, \left(B a b e x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-B \,b^{2} d x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+B \,a^{2} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-B a b d \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A b -2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a \right)}{\sqrt{b e}\, \left(a e -b d \right) \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b x +a}\, b}"," ",0,"(e*x+d)^(1/2)*(B*a*b*e*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-B*b^2*d*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+B*a^2*e*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-B*a*b*d*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*b-2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a)/(b*e)^(1/2)/(a*e-b*d)/((b*x+a)*(e*x+d))^(1/2)/b/(b*x+a)^(1/2)","B"
2249,1,72,81,0.007000," ","int((B*x+A)/(b*x+a)^(3/2)/(e*x+d)^(3/2),x)","-\frac{2 \left(2 A b e x -B a e x -B b d x +A a e +A b d -2 B a d \right)}{\sqrt{b x +a}\, \sqrt{e x +d}\, \left(a^{2} e^{2}-2 b e a d +b^{2} d^{2}\right)}"," ",0,"-2*(2*A*b*e*x-B*a*e*x-B*b*d*x+A*a*e+A*b*d-2*B*a*d)/(b*x+a)^(1/2)/(e*x+d)^(1/2)/(a^2*e^2-2*a*b*d*e+b^2*d^2)","A"
2250,1,176,123,0.008000," ","int((B*x+A)/(b*x+a)^(3/2)/(e*x+d)^(5/2),x)","-\frac{2 \left(-8 A \,b^{2} e^{2} x^{2}+6 B a b \,e^{2} x^{2}+2 B \,b^{2} d e \,x^{2}-4 A a b \,e^{2} x -12 A \,b^{2} d e x +3 B \,a^{2} e^{2} x +10 B a b d e x +3 B \,b^{2} d^{2} x +A \,a^{2} e^{2}-6 A a b d e -3 A \,b^{2} d^{2}+2 B \,a^{2} d e +6 B a b \,d^{2}\right)}{3 \sqrt{b x +a}\, \left(e x +d \right)^{\frac{3}{2}} \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right)}"," ",0,"-2/3*(-8*A*b^2*e^2*x^2+6*B*a*b*e^2*x^2+2*B*b^2*d*e*x^2-4*A*a*b*e^2*x-12*A*b^2*d*e*x+3*B*a^2*e^2*x+10*B*a*b*d*e*x+3*B*b^2*d^2*x+A*a^2*e^2-6*A*a*b*d*e-3*A*b^2*d^2+2*B*a^2*d*e+6*B*a*b*d^2)/(b*x+a)^(1/2)/(e*x+d)^(3/2)/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)","A"
2251,1,322,165,0.010000," ","int((B*x+A)/(b*x+a)^(3/2)/(e*x+d)^(7/2),x)","-\frac{2 \left(48 A \,b^{3} e^{3} x^{3}-40 B a \,b^{2} e^{3} x^{3}-8 B \,b^{3} d \,e^{2} x^{3}+24 A a \,b^{2} e^{3} x^{2}+120 A \,b^{3} d \,e^{2} x^{2}-20 B \,a^{2} b \,e^{3} x^{2}-104 B a \,b^{2} d \,e^{2} x^{2}-20 B \,b^{3} d^{2} e \,x^{2}-6 A \,a^{2} b \,e^{3} x +60 A a \,b^{2} d \,e^{2} x +90 A \,b^{3} d^{2} e x +5 B \,a^{3} e^{3} x -49 B \,a^{2} b d \,e^{2} x -85 B a \,b^{2} d^{2} e x -15 B \,b^{3} d^{3} x +3 A \,a^{3} e^{3}-15 A \,a^{2} b d \,e^{2}+45 A a \,b^{2} d^{2} e +15 A \,b^{3} d^{3}+2 B \,a^{3} d \,e^{2}-20 B \,a^{2} b \,d^{2} e -30 B a \,b^{2} d^{3}\right)}{15 \sqrt{b x +a}\, \left(e x +d \right)^{\frac{5}{2}} \left(e^{4} a^{4}-4 b \,e^{3} d \,a^{3}+6 b^{2} e^{2} d^{2} a^{2}-4 a \,b^{3} d^{3} e +b^{4} d^{4}\right)}"," ",0,"-2/15*(48*A*b^3*e^3*x^3-40*B*a*b^2*e^3*x^3-8*B*b^3*d*e^2*x^3+24*A*a*b^2*e^3*x^2+120*A*b^3*d*e^2*x^2-20*B*a^2*b*e^3*x^2-104*B*a*b^2*d*e^2*x^2-20*B*b^3*d^2*e*x^2-6*A*a^2*b*e^3*x+60*A*a*b^2*d*e^2*x+90*A*b^3*d^2*e*x+5*B*a^3*e^3*x-49*B*a^2*b*d*e^2*x-85*B*a*b^2*d^2*e*x-15*B*b^3*d^3*x+3*A*a^3*e^3-15*A*a^2*b*d*e^2+45*A*a*b^2*d^2*e+15*A*b^3*d^3+2*B*a^3*d*e^2-20*B*a^2*b*d^2*e-30*B*a*b^2*d^3)/(b*x+a)^(1/2)/(e*x+d)^(5/2)/(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"
2252,1,505,209,0.012000," ","int((B*x+A)/(b*x+a)^(3/2)/(e*x+d)^(9/2),x)","-\frac{2 \left(-128 A \,b^{4} e^{4} x^{4}+112 B a \,b^{3} e^{4} x^{4}+16 B \,b^{4} d \,e^{3} x^{4}-64 A a \,b^{3} e^{4} x^{3}-448 A \,b^{4} d \,e^{3} x^{3}+56 B \,a^{2} b^{2} e^{4} x^{3}+400 B a \,b^{3} d \,e^{3} x^{3}+56 B \,b^{4} d^{2} e^{2} x^{3}+16 A \,a^{2} b^{2} e^{4} x^{2}-224 A a \,b^{3} d \,e^{3} x^{2}-560 A \,b^{4} d^{2} e^{2} x^{2}-14 B \,a^{3} b \,e^{4} x^{2}+194 B \,a^{2} b^{2} d \,e^{3} x^{2}+518 B a \,b^{3} d^{2} e^{2} x^{2}+70 B \,b^{4} d^{3} e \,x^{2}-8 A \,a^{3} b \,e^{4} x +56 A \,a^{2} b^{2} d \,e^{3} x -280 A a \,b^{3} d^{2} e^{2} x -280 A \,b^{4} d^{3} e x +7 B \,a^{4} e^{4} x -48 B \,a^{3} b d \,e^{3} x +238 B \,a^{2} b^{2} d^{2} e^{2} x +280 B a \,b^{3} d^{3} e x +35 B \,b^{4} d^{4} x +5 A \,a^{4} e^{4}-28 A \,a^{3} b d \,e^{3}+70 A \,a^{2} b^{2} d^{2} e^{2}-140 A a \,b^{3} d^{3} e -35 A \,b^{4} d^{4}+2 B \,a^{4} d \,e^{3}-14 B \,a^{3} b \,d^{2} e^{2}+70 B \,a^{2} b^{2} d^{3} e +70 B a \,b^{3} d^{4}\right)}{35 \sqrt{b x +a}\, \left(e x +d \right)^{\frac{7}{2}} \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)}"," ",0,"-2/35*(-128*A*b^4*e^4*x^4+112*B*a*b^3*e^4*x^4+16*B*b^4*d*e^3*x^4-64*A*a*b^3*e^4*x^3-448*A*b^4*d*e^3*x^3+56*B*a^2*b^2*e^4*x^3+400*B*a*b^3*d*e^3*x^3+56*B*b^4*d^2*e^2*x^3+16*A*a^2*b^2*e^4*x^2-224*A*a*b^3*d*e^3*x^2-560*A*b^4*d^2*e^2*x^2-14*B*a^3*b*e^4*x^2+194*B*a^2*b^2*d*e^3*x^2+518*B*a*b^3*d^2*e^2*x^2+70*B*b^4*d^3*e*x^2-8*A*a^3*b*e^4*x+56*A*a^2*b^2*d*e^3*x-280*A*a*b^3*d^2*e^2*x-280*A*b^4*d^3*e*x+7*B*a^4*e^4*x-48*B*a^3*b*d*e^3*x+238*B*a^2*b^2*d^2*e^2*x+280*B*a*b^3*d^3*e*x+35*B*b^4*d^4*x+5*A*a^4*e^4-28*A*a^3*b*d*e^3+70*A*a^2*b^2*d^2*e^2-140*A*a*b^3*d^3*e-35*A*b^4*d^4+2*B*a^4*d*e^3-14*B*a^3*b*d^2*e^2+70*B*a^2*b^2*d^3*e+70*B*a*b^3*d^4)/(b*x+a)^(1/2)/(e*x+d)^(7/2)/(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)","B"
2253,1,1882,260,0.042000," ","int((B*x+A)*(e*x+d)^(7/2)/(b*x+a)^(5/2),x)","\frac{\sqrt{e x +d}\, \left(210 A \,a^{2} b^{3} e^{4} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-420 A a \,b^{4} d \,e^{3} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+210 A \,b^{5} d^{2} e^{2} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-315 B \,a^{3} b^{2} e^{4} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+735 B \,a^{2} b^{3} d \,e^{3} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-525 B a \,b^{4} d^{2} e^{2} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+105 B \,b^{5} d^{3} e \,x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+420 A \,a^{3} b^{2} e^{4} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-840 A \,a^{2} b^{3} d \,e^{3} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+420 A a \,b^{4} d^{2} e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-630 B \,a^{4} b \,e^{4} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+1470 B \,a^{3} b^{2} d \,e^{3} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-1050 B \,a^{2} b^{3} d^{2} e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+210 B a \,b^{4} d^{3} e x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+16 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{4} e^{3} x^{4}+210 A \,a^{4} b \,e^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-420 A \,a^{3} b^{2} d \,e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+210 A \,a^{2} b^{3} d^{2} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+24 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{4} e^{3} x^{3}-315 B \,a^{5} e^{4} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+735 B \,a^{4} b d \,e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-525 B \,a^{3} b^{2} d^{2} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+105 B \,a^{2} b^{3} d^{3} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-36 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a \,b^{3} e^{3} x^{3}+76 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{4} d \,e^{2} x^{3}-84 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A a \,b^{3} e^{3} x^{2}+156 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{4} d \,e^{2} x^{2}+126 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{2} b^{2} e^{3} x^{2}-276 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a \,b^{3} d \,e^{2} x^{2}+174 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{4} d^{2} e \,x^{2}-560 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,a^{2} b^{2} e^{3} x +952 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A a \,b^{3} d \,e^{2} x -320 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{4} d^{2} e x +840 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{3} b \,e^{3} x -1708 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{2} b^{2} d \,e^{2} x +956 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a \,b^{3} d^{2} e x -96 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{4} d^{3} x -420 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,a^{3} b \,e^{3}+700 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,a^{2} b^{2} d \,e^{2}-224 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A a \,b^{3} d^{2} e -32 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{4} d^{3}+630 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{4} e^{3}-1260 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{3} b d \,e^{2}+686 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{2} b^{2} d^{2} e -64 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a \,b^{3} d^{3}\right)}{48 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, \left(b x +a \right)^{\frac{3}{2}} b^{5}}"," ",0,"1/48*(e*x+d)^(1/2)*(-315*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^5*e^4-32*A*b^4*d^3*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-276*B*x^2*a*b^3*d*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+210*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^4*b*e^4+735*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^4*b*d*e^3+630*B*a^4*e^3*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-420*A*a^3*b*e^3*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-64*B*a*b^3*d^3*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+210*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^2*a^2*b^3*e^4+210*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^2*b^5*d^2*e^2-315*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^2*a^3*b^2*e^4+105*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^2*b^5*d^3*e+420*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a^3*b^2*e^4-630*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a^4*b*e^4-420*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^3*b^2*d*e^3+210*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^2*b^3*d^2*e^2+952*A*x*a*b^3*d*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-1708*B*x*a^2*b^2*d*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+956*B*x*a*b^3*d^2*e*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-525*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^3*b^2*d^2*e^2+105*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*a^2*b^3*d^3*e+16*B*x^4*b^4*e^3*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+24*A*x^3*b^4*e^3*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-96*B*x*b^4*d^3*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-36*B*x^3*a*b^3*e^3*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+76*B*x^3*b^4*d*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-84*A*x^2*a*b^3*e^3*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+156*A*x^2*b^4*d*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+126*B*x^2*a^2*b^2*e^3*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+174*B*x^2*b^4*d^2*e*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-560*A*x*a^2*b^2*e^3*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-320*A*x*b^4*d^2*e*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+840*B*x*a^3*b*e^3*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+700*A*a^2*b^2*d*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-224*A*a*b^3*d^2*e*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-1260*B*a^3*b*d*e^2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)+686*B*a^2*b^2*d^2*e*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)-525*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^2*a*b^4*d^2*e^2-840*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a^2*b^3*d*e^3+420*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a*b^4*d^2*e^2+1470*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a^3*b^2*d*e^3-1050*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a^2*b^3*d^2*e^2+210*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x*a*b^4*d^3*e-420*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^2*a*b^4*d*e^3+735*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^2*a^2*b^3*d*e^3)/((b*x+a)*(e*x+d))^(1/2)/(b*e)^(1/2)/(b*x+a)^(3/2)/b^5","B"
2254,1,1250,219,0.025000," ","int((B*x+A)*(e*x+d)^(5/2)/(b*x+a)^(5/2),x)","-\frac{\sqrt{e x +d}\, \left(60 A a \,b^{3} e^{3} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-60 A \,b^{4} d \,e^{2} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-105 B \,a^{2} b^{2} e^{3} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+150 B a \,b^{3} d \,e^{2} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-45 B \,b^{4} d^{2} e \,x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+120 A \,a^{2} b^{2} e^{3} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-120 A a \,b^{3} d \,e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-210 B \,a^{3} b \,e^{3} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+300 B \,a^{2} b^{2} d \,e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-90 B a \,b^{3} d^{2} e x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+60 A \,a^{3} b \,e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-60 A \,a^{2} b^{2} d \,e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-105 B \,a^{4} e^{3} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+150 B \,a^{3} b d \,e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-45 B \,a^{2} b^{2} d^{2} e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-12 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{3} e^{2} x^{3}-24 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{3} e^{2} x^{2}+42 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a \,b^{2} e^{2} x^{2}-54 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{3} d e \,x^{2}-160 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A a \,b^{2} e^{2} x +112 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{3} d e x +280 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{2} b \,e^{2} x -316 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a \,b^{2} d e x +48 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{3} d^{2} x -120 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,a^{2} b \,e^{2}+80 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A a \,b^{2} d e +16 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{3} d^{2}+210 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{3} e^{2}-230 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{2} b d e +32 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a \,b^{2} d^{2}\right)}{24 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, \left(b x +a \right)^{\frac{3}{2}} b^{4}}"," ",0,"-1/24*(e*x+d)^(1/2)*(-12*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*b^3*e^2*x^3+60*A*a^3*b*e^3*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-105*B*a^4*e^3*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-316*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a*b^2*d*e*x+16*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*b^3*d^2+210*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a^3*e^2+48*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*b^3*d^2*x-120*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*a^2*b*e^2+32*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a*b^2*d^2+120*A*a^2*b^2*e^3*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-210*B*a^3*b*e^3*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-60*A*a^2*b^2*d*e^2*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+150*B*a^3*b*d*e^2*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-45*B*a^2*b^2*d^2*e*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-24*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*b^3*e^2*x^2+150*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^2*a*b^3*d*e^2-230*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a^2*b*d*e-120*A*a*b^3*d*e^2*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+300*B*a^2*b^2*d*e^2*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-90*B*a*b^3*d^2*e*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+42*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a*b^2*e^2*x^2-54*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*b^3*d*e*x^2-160*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*a*b^2*e^2*x+112*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*b^3*d*e*x+280*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a^2*b*e^2*x+80*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*a*b^2*d*e+60*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^2*a*b^3*e^3-60*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^2*b^4*d*e^2-105*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^2*a^2*b^2*e^3-45*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^2*b^4*d^2*e)/((b*x+a)*(e*x+d))^(1/2)/(b*e)^(1/2)/(b*x+a)^(3/2)/b^4","B"
2255,1,698,173,0.024000," ","int((B*x+A)*(e*x+d)^(3/2)/(b*x+a)^(5/2),x)","\frac{\sqrt{e x +d}\, \left(6 A \,b^{3} e^{2} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-15 B a \,b^{2} e^{2} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+9 B \,b^{3} d e \,x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+12 A a \,b^{2} e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-30 B \,a^{2} b \,e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+18 B a \,b^{2} d e x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+6 A \,a^{2} b \,e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-15 B \,a^{3} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+9 B \,a^{2} b d e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+6 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{2} e \,x^{2}-16 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{2} e x +40 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a b e x -12 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{2} d x -12 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A a b e -4 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{2} d +30 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{2} e -8 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a b d \right)}{6 \sqrt{b e}\, \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \left(b x +a \right)^{\frac{3}{2}} b^{3}}"," ",0,"1/6*(e*x+d)^(1/2)*(6*A*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^2*b^3*e^2-15*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^2*a*b^2*e^2+9*B*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))*x^2*b^3*d*e+12*A*a*b^2*e^2*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-30*B*a^2*b*e^2*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+18*B*a*b^2*d*e*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+6*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*b^2*e*x^2+6*A*a^2*b*e^2*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-16*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*b^2*e*x-15*B*a^3*e^2*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+9*B*a^2*b*d*e*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+40*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a*b*e*x-12*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*b^2*d*x-12*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*a*b*e-4*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*b^2*d+30*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a^2*e-8*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a*b*d)/(b*e)^(1/2)/((b*x+a)*(e*x+d))^(1/2)/b^3/(b*x+a)^(3/2)","B"
2256,1,503,89,0.020000," ","int((B*x+A)*(e*x+d)^(1/2)/(b*x+a)^(5/2),x)","\frac{\left(3 B a \,b^{2} e^{2} x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-3 B \,b^{3} d e \,x^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+6 B \,a^{2} b \,e^{2} x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-6 B a \,b^{2} d e x \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+3 B \,a^{3} e^{2} \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)-3 B \,a^{2} b d e \ln \left(\frac{2 b e x +a e +b d +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}}{2 \sqrt{b e}}\right)+2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{2} e x -8 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a b e x +6 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,b^{2} d x +2 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, A \,b^{2} d -6 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B \,a^{2} e +4 \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \sqrt{b e}\, B a b d \right) \sqrt{e x +d}}{3 \sqrt{b e}\, \left(a e -b d \right) \sqrt{\left(b x +a \right) \left(e x +d \right)}\, \left(b x +a \right)^{\frac{3}{2}} b^{2}}"," ",0,"1/3*(3*B*a*b^2*e^2*x^2*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-3*B*b^3*d*e*x^2*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+6*B*a^2*b*e^2*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-6*B*a*b^2*d*e*x*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*b^2*e*x+3*B*a^3*e^2*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-3*B*a^2*b*d*e*ln(1/2*(2*b*e*x+a*e+b*d+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2))/(b*e)^(1/2))-8*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a*b*e*x+6*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*b^2*d*x+2*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*A*b^2*d-6*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a^2*e+4*((b*x+a)*(e*x+d))^(1/2)*(b*e)^(1/2)*B*a*b*d)*(e*x+d)^(1/2)/(b*e)^(1/2)/(a*e-b*d)/((b*x+a)*(e*x+d))^(1/2)/b^2/(b*x+a)^(3/2)","B"
2257,1,73,83,0.007000," ","int((B*x+A)/(b*x+a)^(5/2)/(e*x+d)^(1/2),x)","\frac{2 \sqrt{e x +d}\, \left(2 A b e x +B a e x -3 B b d x +3 A a e -A b d -2 B a d \right)}{3 \left(b x +a \right)^{\frac{3}{2}} \left(a^{2} e^{2}-2 b e a d +b^{2} d^{2}\right)}"," ",0,"2/3*(e*x+d)^(1/2)*(2*A*b*e*x+B*a*e*x-3*B*b*d*x+3*A*a*e-A*b*d-2*B*a*d)/(b*x+a)^(3/2)/(a^2*e^2-2*a*b*d*e+b^2*d^2)","A"
2258,1,177,123,0.008000," ","int((B*x+A)/(b*x+a)^(5/2)/(e*x+d)^(3/2),x)","-\frac{2 \left(8 A \,b^{2} e^{2} x^{2}-2 B a b \,e^{2} x^{2}-6 B \,b^{2} d e \,x^{2}+12 A a b \,e^{2} x +4 A \,b^{2} d e x -3 B \,a^{2} e^{2} x -10 B a b d e x -3 B \,b^{2} d^{2} x +3 A \,a^{2} e^{2}+6 A a b d e -A \,b^{2} d^{2}-6 B \,a^{2} d e -2 B a b \,d^{2}\right)}{3 \left(b x +a \right)^{\frac{3}{2}} \sqrt{e x +d}\, \left(a^{3} e^{3}-3 a^{2} b d \,e^{2}+3 a \,b^{2} d^{2} e -b^{3} d^{3}\right)}"," ",0,"-2/3*(8*A*b^2*e^2*x^2-2*B*a*b*e^2*x^2-6*B*b^2*d*e*x^2+12*A*a*b*e^2*x+4*A*b^2*d*e*x-3*B*a^2*e^2*x-10*B*a*b*d*e*x-3*B*b^2*d^2*x+3*A*a^2*e^2+6*A*a*b*d*e-A*b^2*d^2-6*B*a^2*d*e-2*B*a*b*d^2)/(b*x+a)^(3/2)/(e*x+d)^(1/2)/(a^3*e^3-3*a^2*b*d*e^2+3*a*b^2*d^2*e-b^3*d^3)","A"
2259,1,320,162,0.009000," ","int((B*x+A)/(b*x+a)^(5/2)/(e*x+d)^(5/2),x)","-\frac{2 \left(-16 A \,b^{3} e^{3} x^{3}+8 B a \,b^{2} e^{3} x^{3}+8 B \,b^{3} d \,e^{2} x^{3}-24 A a \,b^{2} e^{3} x^{2}-24 A \,b^{3} d \,e^{2} x^{2}+12 B \,a^{2} b \,e^{3} x^{2}+24 B a \,b^{2} d \,e^{2} x^{2}+12 B \,b^{3} d^{2} e \,x^{2}-6 A \,a^{2} b \,e^{3} x -36 A a \,b^{2} d \,e^{2} x -6 A \,b^{3} d^{2} e x +3 B \,a^{3} e^{3} x +21 B \,a^{2} b d \,e^{2} x +21 B a \,b^{2} d^{2} e x +3 B \,b^{3} d^{3} x +A \,a^{3} e^{3}-9 A \,a^{2} b d \,e^{2}-9 A a \,b^{2} d^{2} e +A \,b^{3} d^{3}+2 B \,a^{3} d \,e^{2}+12 B \,a^{2} b \,d^{2} e +2 B a \,b^{2} d^{3}\right)}{3 \left(b x +a \right)^{\frac{3}{2}} \left(e x +d \right)^{\frac{3}{2}} \left(e^{4} a^{4}-4 b \,e^{3} d \,a^{3}+6 b^{2} e^{2} d^{2} a^{2}-4 a \,b^{3} d^{3} e +b^{4} d^{4}\right)}"," ",0,"-2/3*(-16*A*b^3*e^3*x^3+8*B*a*b^2*e^3*x^3+8*B*b^3*d*e^2*x^3-24*A*a*b^2*e^3*x^2-24*A*b^3*d*e^2*x^2+12*B*a^2*b*e^3*x^2+24*B*a*b^2*d*e^2*x^2+12*B*b^3*d^2*e*x^2-6*A*a^2*b*e^3*x-36*A*a*b^2*d*e^2*x-6*A*b^3*d^2*e*x+3*B*a^3*e^3*x+21*B*a^2*b*d*e^2*x+21*B*a*b^2*d^2*e*x+3*B*b^3*d^3*x+A*a^3*e^3-9*A*a^2*b*d*e^2-9*A*a*b^2*d^2*e+A*b^3*d^3+2*B*a^3*d*e^2+12*B*a^2*b*d^2*e+2*B*a*b^2*d^3)/(b*x+a)^(3/2)/(e*x+d)^(3/2)/(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"
2260,1,505,216,0.012000," ","int((B*x+A)/(b*x+a)^(5/2)/(e*x+d)^(7/2),x)","-\frac{2 \left(128 A \,b^{4} e^{4} x^{4}-80 B a \,b^{3} e^{4} x^{4}-48 B \,b^{4} d \,e^{3} x^{4}+192 A a \,b^{3} e^{4} x^{3}+320 A \,b^{4} d \,e^{3} x^{3}-120 B \,a^{2} b^{2} e^{4} x^{3}-272 B a \,b^{3} d \,e^{3} x^{3}-120 B \,b^{4} d^{2} e^{2} x^{3}+48 A \,a^{2} b^{2} e^{4} x^{2}+480 A a \,b^{3} d \,e^{3} x^{2}+240 A \,b^{4} d^{2} e^{2} x^{2}-30 B \,a^{3} b \,e^{4} x^{2}-318 B \,a^{2} b^{2} d \,e^{3} x^{2}-330 B a \,b^{3} d^{2} e^{2} x^{2}-90 B \,b^{4} d^{3} e \,x^{2}-8 A \,a^{3} b \,e^{4} x +120 A \,a^{2} b^{2} d \,e^{3} x +360 A a \,b^{3} d^{2} e^{2} x +40 A \,b^{4} d^{3} e x +5 B \,a^{4} e^{4} x -72 B \,a^{3} b d \,e^{3} x -270 B \,a^{2} b^{2} d^{2} e^{2} x -160 B a \,b^{3} d^{3} e x -15 B \,b^{4} d^{4} x +3 A \,a^{4} e^{4}-20 A \,a^{3} b d \,e^{3}+90 A \,a^{2} b^{2} d^{2} e^{2}+60 A a \,b^{3} d^{3} e -5 A \,b^{4} d^{4}+2 B \,a^{4} d \,e^{3}-30 B \,a^{3} b \,d^{2} e^{2}-90 B \,a^{2} b^{2} d^{3} e -10 B a \,b^{3} d^{4}\right)}{15 \left(b x +a \right)^{\frac{3}{2}} \left(e x +d \right)^{\frac{5}{2}} \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)}"," ",0,"-2/15*(128*A*b^4*e^4*x^4-80*B*a*b^3*e^4*x^4-48*B*b^4*d*e^3*x^4+192*A*a*b^3*e^4*x^3+320*A*b^4*d*e^3*x^3-120*B*a^2*b^2*e^4*x^3-272*B*a*b^3*d*e^3*x^3-120*B*b^4*d^2*e^2*x^3+48*A*a^2*b^2*e^4*x^2+480*A*a*b^3*d*e^3*x^2+240*A*b^4*d^2*e^2*x^2-30*B*a^3*b*e^4*x^2-318*B*a^2*b^2*d*e^3*x^2-330*B*a*b^3*d^2*e^2*x^2-90*B*b^4*d^3*e*x^2-8*A*a^3*b*e^4*x+120*A*a^2*b^2*d*e^3*x+360*A*a*b^3*d^2*e^2*x+40*A*b^4*d^3*e*x+5*B*a^4*e^4*x-72*B*a^3*b*d*e^3*x-270*B*a^2*b^2*d^2*e^2*x-160*B*a*b^3*d^3*e*x-15*B*b^4*d^4*x+3*A*a^4*e^4-20*A*a^3*b*d*e^3+90*A*a^2*b^2*d^2*e^2+60*A*a*b^3*d^3*e-5*A*b^4*d^4+2*B*a^4*d*e^3-30*B*a^3*b*d^2*e^2-90*B*a^2*b^2*d^3*e-10*B*a*b^3*d^4)/(b*x+a)^(3/2)/(e*x+d)^(5/2)/(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)","B"
2261,1,722,262,0.015000," ","int((B*x+A)/(b*x+a)^(5/2)/(e*x+d)^(9/2),x)","-\frac{2 \left(-1280 A \,b^{5} e^{5} x^{5}+896 B a \,b^{4} e^{5} x^{5}+384 B \,b^{5} d \,e^{4} x^{5}-1920 A a \,b^{4} e^{5} x^{4}-4480 A \,b^{5} d \,e^{4} x^{4}+1344 B \,a^{2} b^{3} e^{5} x^{4}+3712 B a \,b^{4} d \,e^{4} x^{4}+1344 B \,b^{5} d^{2} e^{3} x^{4}-480 A \,a^{2} b^{3} e^{5} x^{3}-6720 A a \,b^{4} d \,e^{4} x^{3}-5600 A \,b^{5} d^{2} e^{3} x^{3}+336 B \,a^{3} b^{2} e^{5} x^{3}+4848 B \,a^{2} b^{3} d \,e^{4} x^{3}+5936 B a \,b^{4} d^{2} e^{3} x^{3}+1680 B \,b^{5} d^{3} e^{2} x^{3}+80 A \,a^{3} b^{2} e^{5} x^{2}-1680 A \,a^{2} b^{3} d \,e^{4} x^{2}-8400 A a \,b^{4} d^{2} e^{3} x^{2}-2800 A \,b^{5} d^{3} e^{2} x^{2}-56 B \,a^{4} b \,e^{5} x^{2}+1152 B \,a^{3} b^{2} d \,e^{4} x^{2}+6384 B \,a^{2} b^{3} d^{2} e^{3} x^{2}+4480 B a \,b^{4} d^{3} e^{2} x^{2}+840 B \,b^{5} d^{4} e \,x^{2}-30 A \,a^{4} b \,e^{5} x +280 A \,a^{3} b^{2} d \,e^{4} x -2100 A \,a^{2} b^{3} d^{2} e^{3} x -4200 A a \,b^{4} d^{3} e^{2} x -350 A \,b^{5} d^{4} e x +21 B \,a^{5} e^{5} x -187 B \,a^{4} b d \,e^{4} x +1386 B \,a^{3} b^{2} d^{2} e^{3} x +3570 B \,a^{2} b^{3} d^{3} e^{2} x +1505 B a \,b^{4} d^{4} e x +105 B \,b^{5} d^{5} x +15 A \,a^{5} e^{5}-105 A \,a^{4} b d \,e^{4}+350 A \,a^{3} b^{2} d^{2} e^{3}-1050 A \,a^{2} b^{3} d^{3} e^{2}-525 A a \,b^{4} d^{4} e +35 A \,b^{5} d^{5}+6 B \,a^{5} d \,e^{4}-56 B \,a^{4} b \,d^{2} e^{3}+420 B \,a^{3} b^{2} d^{3} e^{2}+840 B \,a^{2} b^{3} d^{4} e +70 B a \,b^{4} d^{5}\right)}{105 \left(b x +a \right)^{\frac{3}{2}} \left(e x +d \right)^{\frac{7}{2}} \left(a^{6} e^{6}-6 a^{5} b d \,e^{5}+15 a^{4} b^{2} d^{2} e^{4}-20 a^{3} b^{3} d^{3} e^{3}+15 a^{2} b^{4} d^{4} e^{2}-6 a \,b^{5} d^{5} e +b^{6} d^{6}\right)}"," ",0,"-2/105*(-1280*A*b^5*e^5*x^5+896*B*a*b^4*e^5*x^5+384*B*b^5*d*e^4*x^5-1920*A*a*b^4*e^5*x^4-4480*A*b^5*d*e^4*x^4+1344*B*a^2*b^3*e^5*x^4+3712*B*a*b^4*d*e^4*x^4+1344*B*b^5*d^2*e^3*x^4-480*A*a^2*b^3*e^5*x^3-6720*A*a*b^4*d*e^4*x^3-5600*A*b^5*d^2*e^3*x^3+336*B*a^3*b^2*e^5*x^3+4848*B*a^2*b^3*d*e^4*x^3+5936*B*a*b^4*d^2*e^3*x^3+1680*B*b^5*d^3*e^2*x^3+80*A*a^3*b^2*e^5*x^2-1680*A*a^2*b^3*d*e^4*x^2-8400*A*a*b^4*d^2*e^3*x^2-2800*A*b^5*d^3*e^2*x^2-56*B*a^4*b*e^5*x^2+1152*B*a^3*b^2*d*e^4*x^2+6384*B*a^2*b^3*d^2*e^3*x^2+4480*B*a*b^4*d^3*e^2*x^2+840*B*b^5*d^4*e*x^2-30*A*a^4*b*e^5*x+280*A*a^3*b^2*d*e^4*x-2100*A*a^2*b^3*d^2*e^3*x-4200*A*a*b^4*d^3*e^2*x-350*A*b^5*d^4*e*x+21*B*a^5*e^5*x-187*B*a^4*b*d*e^4*x+1386*B*a^3*b^2*d^2*e^3*x+3570*B*a^2*b^3*d^3*e^2*x+1505*B*a*b^4*d^4*e*x+105*B*b^5*d^5*x+15*A*a^5*e^5-105*A*a^4*b*d*e^4+350*A*a^3*b^2*d^2*e^3-1050*A*a^2*b^3*d^3*e^2-525*A*a*b^4*d^4*e+35*A*b^5*d^5+6*B*a^5*d*e^4-56*B*a^4*b*d^2*e^3+420*B*a^3*b^2*d^3*e^2+840*B*a^2*b^3*d^4*e+70*B*a*b^4*d^5)/(b*x+a)^(3/2)/(e*x+d)^(7/2)/(a^6*e^6-6*a^5*b*d*e^5+15*a^4*b^2*d^2*e^4-20*a^3*b^3*d^3*e^3+15*a^2*b^4*d^4*e^2-6*a*b^5*d^5*e+b^6*d^6)","B"
2262,1,138,118,0.017000," ","int((3*x+2)^4*(-2*x+1)^(1/2)*(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(13824000000 \sqrt{-10 x^{2}-x +3}\, x^{5}+44375040000 \sqrt{-10 x^{2}-x +3}\, x^{4}+54796608000 \sqrt{-10 x^{2}-x +3}\, x^{3}+29379478400 \sqrt{-10 x^{2}-x +3}\, x^{2}+915638800 \sqrt{-10 x^{2}-x +3}\, x +4122385421 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-10362458780 \sqrt{-10 x^{2}-x +3}\right)}{1024000000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/1024000000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(13824000000*x^5*(-10*x^2-x+3)^(1/2)+44375040000*x^4*(-10*x^2-x+3)^(1/2)+54796608000*x^3*(-10*x^2-x+3)^(1/2)+29379478400*x^2*(-10*x^2-x+3)^(1/2)+4122385421*10^(1/2)*arcsin(20/11*x+1/11)+915638800*x*(-10*x^2-x+3)^(1/2)-10362458780*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2263,1,121,95,0.012000," ","int((3*x+2)^3*(-2*x+1)^(1/2)*(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(138240000 \sqrt{-10 x^{2}-x +3}\, x^{4}+347328000 \sqrt{-10 x^{2}-x +3}\, x^{3}+298934400 \sqrt{-10 x^{2}-x +3}\, x^{2}+60050800 \sqrt{-10 x^{2}-x +3}\, x +39142411 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-85646980 \sqrt{-10 x^{2}-x +3}\right)}{25600000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/25600000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(138240000*(-10*x^2-x+3)^(1/2)*x^4+347328000*(-10*x^2-x+3)^(1/2)*x^3+298934400*(-10*x^2-x+3)^(1/2)*x^2+39142411*10^(1/2)*arcsin(20/11*x+1/11)+60050800*(-10*x^2-x+3)^(1/2)*x-85646980*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2264,1,104,88,0.010000," ","int((3*x+2)^2*(-2*x+1)^(1/2)*(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(576000 \sqrt{-10 x^{2}-x +3}\, x^{3}+1033600 \sqrt{-10 x^{2}-x +3}\, x^{2}+450000 \sqrt{-10 x^{2}-x +3}\, x +158873 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-266540 \sqrt{-10 x^{2}-x +3}\right)}{256000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/256000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(576000*(-10*x^2-x+3)^(1/2)*x^3+1033600*(-10*x^2-x+3)^(1/2)*x^2+158873*10^(1/2)*arcsin(20/11*x+1/11)+450000*(-10*x^2-x+3)^(1/2)*x-266540*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2265,1,87,67,0.009000," ","int((3*x+2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(16000 \sqrt{-10 x^{2}-x +3}\, x^{2}+16400 \sqrt{-10 x^{2}-x +3}\, x +4477 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-4060 \sqrt{-10 x^{2}-x +3}\right)}{16000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/16000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(16000*(-10*x^2-x+3)^(1/2)*x^2+4477*10^(1/2)*arcsin(20/11*x+1/11)+16400*(-10*x^2-x+3)^(1/2)*x-4060*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2266,1,72,51,0.007000," ","int((-2*x+1)^(1/2)*(5*x+3)^(1/2),x)","\frac{121 \sqrt{\left(-2 x +1\right) \left(5 x +3\right)}\, \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)}{800 \sqrt{5 x +3}\, \sqrt{-2 x +1}}+\frac{\left(5 x +3\right)^{\frac{3}{2}} \sqrt{-2 x +1}}{10}-\frac{11 \sqrt{-2 x +1}\, \sqrt{5 x +3}}{40}"," ",0,"1/10*(5*x+3)^(3/2)*(-2*x+1)^(1/2)-11/40*(-2*x+1)^(1/2)*(5*x+3)^(1/2)+121/800*((-2*x+1)*(5*x+3))^(1/2)/(5*x+3)^(1/2)/(-2*x+1)^(1/2)*10^(1/2)*arcsin(20/11*x+1/11)","A"
2267,1,83,60,0.013000," ","int((-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(37 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-20 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+60 \sqrt{-10 x^{2}-x +3}\right)}{180 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/180*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(37*10^(1/2)*arcsin(20/11*x+1/11)-20*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+60*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2268,1,131,67,0.012000," ","int((-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^2,x)","-\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(42 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-111 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+28 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-74 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+42 \sqrt{-10 x^{2}-x +3}\right)}{126 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)}"," ",0,"-1/126*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(42*10^(1/2)*arcsin(20/11*x+1/11)*x-111*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))*x+28*10^(1/2)*arcsin(20/11*x+1/11)-74*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+42*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)","A"
2269,1,154,72,0.013000," ","int((-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^3,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(1089 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1452 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+518 \sqrt{-10 x^{2}-x +3}\, x +484 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+280 \sqrt{-10 x^{2}-x +3}\right)}{392 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{2}}"," ",0,"1/392*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(1089*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))*x^2+1452*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+484*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+518*(-10*x^2-x+3)^(1/2)*x+280*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^2","B"
2270,1,202,95,0.015000," ","int((-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^4,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(120879 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+241758 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+49658 \sqrt{-10 x^{2}-x +3}\, x^{2}+161172 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+68628 \sqrt{-10 x^{2}-x +3}\, x +35816 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+23072 \sqrt{-10 x^{2}-x +3}\right)}{5488 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{3}}"," ",0,"1/5488*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(120879*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))*x^3+241758*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+161172*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+49658*(-10*x^2-x+3)^(1/2)*x^2+35816*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+68628*(-10*x^2-x+3)^(1/2)*x+23072*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^3","B"
2271,1,250,118,0.015000," ","int((-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^5,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(64343565 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+171582840 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+26254830 \sqrt{-10 x^{2}-x +3}\, x^{3}+171582840 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+53686640 \sqrt{-10 x^{2}-x +3}\, x^{2}+76259040 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+36643432 \sqrt{-10 x^{2}-x +3}\, x +12709840 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+8321824 \sqrt{-10 x^{2}-x +3}\right)}{307328 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{4}}"," ",0,"1/307328*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(64343565*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))*x^4+171582840*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+171582840*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+26254830*(-10*x^2-x+3)^(1/2)*x^3+76259040*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+53686640*(-10*x^2-x+3)^(1/2)*x^2+12709840*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+36643432*(-10*x^2-x+3)^(1/2)*x+8321824*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^4","B"
2272,1,298,141,0.015000," ","int((-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^6,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(6794004195 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+22646680650 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2771271090 \sqrt{-10 x^{2}-x +3}\, x^{4}+30195574200 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+7513739100 \sqrt{-10 x^{2}-x +3}\, x^{3}+20130382800 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+7644056952 \sqrt{-10 x^{2}-x +3}\, x^{2}+6710127600 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3458632688 \sqrt{-10 x^{2}-x +3}\, x +894683680 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+587073088 \sqrt{-10 x^{2}-x +3}\right)}{3073280 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{5}}"," ",0,"1/3073280*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(6794004195*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))*x^5+22646680650*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+30195574200*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2771271090*(-10*x^2-x+3)^(1/2)*x^4+20130382800*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+7513739100*(-10*x^2-x+3)^(1/2)*x^3+6710127600*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+7644056952*(-10*x^2-x+3)^(1/2)*x^2+894683680*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3458632688*(-10*x^2-x+3)^(1/2)*x+587073088*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^5","B"
2273,1,346,164,0.018000," ","int((-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^7,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(2146584979935 \sqrt{7}\, x^{6} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+8586339919740 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+875574578970 \sqrt{-10 x^{2}-x +3}\, x^{5}+14310566532900 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2957649758280 \sqrt{-10 x^{2}-x +3}\, x^{4}+12720503584800 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3997711067616 \sqrt{-10 x^{2}-x +3}\, x^{3}+6360251792400 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2702771030848 \sqrt{-10 x^{2}-x +3}\, x^{2}+1696067144640 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+914018525280 \sqrt{-10 x^{2}-x +3}\, x +188451904960 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+123691206016 \sqrt{-10 x^{2}-x +3}\right)}{86051840 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{6}}"," ",0,"1/86051840*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(2146584979935*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))*x^6+8586339919740*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+14310566532900*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+875574578970*(-10*x^2-x+3)^(1/2)*x^5+12720503584800*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2957649758280*(-10*x^2-x+3)^(1/2)*x^4+6360251792400*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3997711067616*(-10*x^2-x+3)^(1/2)*x^3+1696067144640*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2702771030848*(-10*x^2-x+3)^(1/2)*x^2+188451904960*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+914018525280*(-10*x^2-x+3)^(1/2)*x+123691206016*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^6","B"
2274,1,155,134,0.012000," ","int((3*x+2)^4*(5*x+3)^(3/2)*(-2*x+1)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(4976640000000 \sqrt{-10 x^{2}-x +3}\, x^{6}+19008000000000 \sqrt{-10 x^{2}-x +3}\, x^{5}+29613634560000 \sqrt{-10 x^{2}-x +3}\, x^{4}+23233931712000 \sqrt{-10 x^{2}-x +3}\, x^{3}+8056761257600 \sqrt{-10 x^{2}-x +3}\, x^{2}-1458654686800 \sqrt{-10 x^{2}-x +3}\, x +1474705073919 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-4030434642420 \sqrt{-10 x^{2}-x +3}\right)}{86016000000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/86016000000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(4976640000000*(-10*x^2-x+3)^(1/2)*x^6+19008000000000*(-10*x^2-x+3)^(1/2)*x^5+29613634560000*(-10*x^2-x+3)^(1/2)*x^4+23233931712000*(-10*x^2-x+3)^(1/2)*x^3+8056761257600*(-10*x^2-x+3)^(1/2)*x^2+1474705073919*10^(1/2)*arcsin(20/11*x+1/11)-1458654686800*(-10*x^2-x+3)^(1/2)*x-4030434642420*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2275,1,138,111,0.010000," ","int((3*x+2)^3*(5*x+3)^(3/2)*(-2*x+1)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(13824000000 \sqrt{-10 x^{2}-x +3}\, x^{5}+43269120000 \sqrt{-10 x^{2}-x +3}\, x^{4}+52017984000 \sqrt{-10 x^{2}-x +3}\, x^{3}+26988003200 \sqrt{-10 x^{2}-x +3}\, x^{2}+435232400 \sqrt{-10 x^{2}-x +3}\, x +3809246133 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-9677282940 \sqrt{-10 x^{2}-x +3}\right)}{614400000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/614400000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(13824000000*(-10*x^2-x+3)^(1/2)*x^5+43269120000*(-10*x^2-x+3)^(1/2)*x^4+52017984000*(-10*x^2-x+3)^(1/2)*x^3+26988003200*(-10*x^2-x+3)^(1/2)*x^2+3809246133*10^(1/2)*arcsin(20/11*x+1/11)+435232400*(-10*x^2-x+3)^(1/2)*x-9677282940*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2276,1,121,104,0.012000," ","int((3*x+2)^2*(5*x+3)^(3/2)*(-2*x+1)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(138240000 \sqrt{-10 x^{2}-x +3}\, x^{4}+335808000 \sqrt{-10 x^{2}-x +3}\, x^{3}+278262400 \sqrt{-10 x^{2}-x +3}\, x^{2}+51050800 \sqrt{-10 x^{2}-x +3}\, x +35964951 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-80316180 \sqrt{-10 x^{2}-x +3}\right)}{15360000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/15360000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(138240000*(-10*x^2-x+3)^(1/2)*x^4+335808000*(-10*x^2-x+3)^(1/2)*x^3+278262400*(-10*x^2-x+3)^(1/2)*x^2+35964951*10^(1/2)*arcsin(20/11*x+1/11)+51050800*(-10*x^2-x+3)^(1/2)*x-80316180*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2277,1,104,83,0.010000," ","int((3*x+2)*(5*x+3)^(3/2)*(-2*x+1)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(2880000 \sqrt{-10 x^{2}-x +3}\, x^{3}+4912000 \sqrt{-10 x^{2}-x +3}\, x^{2}+1987600 \sqrt{-10 x^{2}-x +3}\, x +722733 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-1267740 \sqrt{-10 x^{2}-x +3}\right)}{768000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/768000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(2880000*(-10*x^2-x+3)^(1/2)*x^3+4912000*(-10*x^2-x+3)^(1/2)*x^2+722733*10^(1/2)*arcsin(20/11*x+1/11)+1987600*(-10*x^2-x+3)^(1/2)*x-1267740*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2278,1,88,67,0.005000," ","int((5*x+3)^(3/2)*(-2*x+1)^(1/2),x)","\frac{1331 \sqrt{\left(-2 x +1\right) \left(5 x +3\right)}\, \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)}{3200 \sqrt{5 x +3}\, \sqrt{-2 x +1}}+\frac{\left(5 x +3\right)^{\frac{5}{2}} \sqrt{-2 x +1}}{15}-\frac{11 \left(5 x +3\right)^{\frac{3}{2}} \sqrt{-2 x +1}}{120}-\frac{121 \sqrt{-2 x +1}\, \sqrt{5 x +3}}{160}"," ",0,"1/15*(5*x+3)^(5/2)*(-2*x+1)^(1/2)-11/120*(5*x+3)^(3/2)*(-2*x+1)^(1/2)-121/160*(-2*x+1)^(1/2)*(5*x+3)^(1/2)+1331/3200*((-2*x+1)*(5*x+3))^(1/2)/(5*x+3)^(1/2)/(-2*x+1)^(1/2)*10^(1/2)*arcsin(20/11*x+1/11)","A"
2279,1,98,76,0.010000," ","int((5*x+3)^(3/2)*(-2*x+1)^(1/2)/(3*x+2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(3600 \sqrt{-10 x^{2}-x +3}\, x +793 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+160 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-300 \sqrt{-10 x^{2}-x +3}\right)}{4320 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/4320*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(793*10^(1/2)*arcsin(20/11*x+1/11)+160*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3600*(-10*x^2-x+3)^(1/2)*x-300*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2280,1,146,83,0.012000," ","int((5*x+3)^(3/2)*(-2*x+1)^(1/2)/(3*x+2)^2,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(861 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-642 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1260 \sqrt{-10 x^{2}-x +3}\, x +574 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-428 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+924 \sqrt{-10 x^{2}-x +3}\right)}{756 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)}"," ",0,"1/756*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(861*10^(1/2)*x*arcsin(20/11*x+1/11)-642*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+574*10^(1/2)*arcsin(20/11*x+1/11)-428*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1260*(-10*x^2-x+3)^(1/2)*x+924*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)","A"
2281,1,191,90,0.013000," ","int((5*x+3)^(3/2)*(-2*x+1)^(1/2)/(3*x+2)^3,x)","-\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(17640 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-36819 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+23520 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-49092 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+22302 \sqrt{-10 x^{2}-x +3}\, x +7840 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-16364 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+14280 \sqrt{-10 x^{2}-x +3}\right)}{10584 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{2}}"," ",0,"-1/10584*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(17640*10^(1/2)*arcsin(20/11*x+1/11)*x^2-36819*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+23520*10^(1/2)*x*arcsin(20/11*x+1/11)-49092*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+7840*10^(1/2)*arcsin(20/11*x+1/11)-16364*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+22302*(-10*x^2-x+3)^(1/2)*x+14280*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^2","B"
2282,1,202,95,0.011000," ","int((5*x+3)^(3/2)*(-2*x+1)^(1/2)/(3*x+2)^4,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(107811 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+215622 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+59122 \sqrt{-10 x^{2}-x +3}\, x^{2}+143748 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+62692 \sqrt{-10 x^{2}-x +3}\, x +31944 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+16128 \sqrt{-10 x^{2}-x +3}\right)}{16464 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{3}}"," ",0,"1/16464*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(107811*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+215622*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+143748*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+59122*(-10*x^2-x+3)^(1/2)*x^2+31944*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+62692*(-10*x^2-x+3)^(1/2)*x+16128*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^3","B"
2283,1,250,118,0.011000," ","int((5*x+3)^(3/2)*(-2*x+1)^(1/2)/(3*x+2)^5,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(37194795 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+99186120 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+15457890 \sqrt{-10 x^{2}-x +3}\, x^{3}+99186120 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+31769360 \sqrt{-10 x^{2}-x +3}\, x^{2}+44082720 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+21168728 \sqrt{-10 x^{2}-x +3}\, x +7347120 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+4598496 \sqrt{-10 x^{2}-x +3}\right)}{921984 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{4}}"," ",0,"1/921984*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(37194795*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+99186120*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+99186120*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+15457890*(-10*x^2-x+3)^(1/2)*x^3+44082720*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+31769360*(-10*x^2-x+3)^(1/2)*x^2+7347120*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+21168728*(-10*x^2-x+3)^(1/2)*x+4598496*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^4","B"
2284,1,298,141,0.012000," ","int((5*x+3)^(3/2)*(-2*x+1)^(1/2)/(3*x+2)^6,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(2857530555 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+9525101850 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1166953410 \sqrt{-10 x^{2}-x +3}\, x^{4}+12700135800 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3164739900 \sqrt{-10 x^{2}-x +3}\, x^{3}+8466757200 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3221121848 \sqrt{-10 x^{2}-x +3}\, x^{2}+2822252400 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1453984112 \sqrt{-10 x^{2}-x +3}\, x +376300320 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+245109312 \sqrt{-10 x^{2}-x +3}\right)}{9219840 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{5}}"," ",0,"1/9219840*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(2857530555*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+9525101850*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+12700135800*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1166953410*(-10*x^2-x+3)^(1/2)*x^4+8466757200*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3164739900*(-10*x^2-x+3)^(1/2)*x^3+2822252400*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3221121848*(-10*x^2-x+3)^(1/2)*x^2+376300320*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1453984112*(-10*x^2-x+3)^(1/2)*x+245109312*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^5","B"
2285,1,346,164,0.013000," ","int((5*x+3)^(3/2)*(-2*x+1)^(1/2)/(3*x+2)^7,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(706896781965 \sqrt{7}\, x^{6} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2827587127860 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+288359278830 \sqrt{-10 x^{2}-x +3}\, x^{5}+4712645213100 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+974076568920 \sqrt{-10 x^{2}-x +3}\, x^{4}+4189017967200 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1316639800224 \sqrt{-10 x^{2}-x +3}\, x^{3}+2094508983600 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+890190644672 \sqrt{-10 x^{2}-x +3}\, x^{2}+558535728960 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+300969324320 \sqrt{-10 x^{2}-x +3}\, x +62059525440 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+40689258624 \sqrt{-10 x^{2}-x +3}\right)}{258155520 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{6}}"," ",0,"1/258155520*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(706896781965*7^(1/2)*x^6*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2827587127860*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+4712645213100*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+288359278830*(-10*x^2-x+3)^(1/2)*x^5+4189017967200*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+974076568920*(-10*x^2-x+3)^(1/2)*x^4+2094508983600*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1316639800224*(-10*x^2-x+3)^(1/2)*x^3+558535728960*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+890190644672*(-10*x^2-x+3)^(1/2)*x^2+62059525440*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+300969324320*(-10*x^2-x+3)^(1/2)*x+40689258624*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^6","B"
2286,1,172,150,0.015000," ","int((3*x+2)^4*(5*x+3)^(5/2)*(-2*x+1)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(139345920000000 \sqrt{-10 x^{2}-x +3}\, x^{7}+616771584000000 \sqrt{-10 x^{2}-x +3}\, x^{6}+1154937139200000 \sqrt{-10 x^{2}-x +3}\, x^{5}+1166921948160000 \sqrt{-10 x^{2}-x +3}\, x^{4}+649148434752000 \sqrt{-10 x^{2}-x +3}\, x^{3}+137656890569600 \sqrt{-10 x^{2}-x +3}\, x^{2}-79834062242800 \sqrt{-10 x^{2}-x +3}\, x +41758617880749 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-119466089441820 \sqrt{-10 x^{2}-x +3}\right)}{550502400000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/550502400000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(139345920000000*(-10*x^2-x+3)^(1/2)*x^7+616771584000000*(-10*x^2-x+3)^(1/2)*x^6+1154937139200000*(-10*x^2-x+3)^(1/2)*x^5+1166921948160000*(-10*x^2-x+3)^(1/2)*x^4+649148434752000*(-10*x^2-x+3)^(1/2)*x^3+137656890569600*(-10*x^2-x+3)^(1/2)*x^2+41758617880749*10^(1/2)*arcsin(20/11*x+1/11)-79834062242800*(-10*x^2-x+3)^(1/2)*x-119466089441820*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2287,1,155,127,0.011000," ","int((3*x+2)^3*(5*x+3)^(5/2)*(-2*x+1)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(331776000000 \sqrt{-10 x^{2}-x +3}\, x^{6}+1241395200000 \sqrt{-10 x^{2}-x +3}\, x^{5}+1893473280000 \sqrt{-10 x^{2}-x +3}\, x^{4}+1451828544000 \sqrt{-10 x^{2}-x +3}\, x^{3}+486739811200 \sqrt{-10 x^{2}-x +3}\, x^{2}-98056079600 \sqrt{-10 x^{2}-x +3}\, x +91203078813 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-250631381340 \sqrt{-10 x^{2}-x +3}\right)}{3440640000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/3440640000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(331776000000*(-10*x^2-x+3)^(1/2)*x^6+1241395200000*(-10*x^2-x+3)^(1/2)*x^5+1893473280000*(-10*x^2-x+3)^(1/2)*x^4+1451828544000*(-10*x^2-x+3)^(1/2)*x^3+486739811200*(-10*x^2-x+3)^(1/2)*x^2+91203078813*10^(1/2)*arcsin(20/11*x+1/11)-98056079600*(-10*x^2-x+3)^(1/2)*x-250631381340*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2288,1,138,120,0.010000," ","int((3*x+2)^2*(5*x+3)^(5/2)*(-2*x+1)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(184320000 \sqrt{-10 x^{2}-x +3}\, x^{5}+562176000 \sqrt{-10 x^{2}-x +3}\, x^{4}+657753600 \sqrt{-10 x^{2}-x +3}\, x^{3}+330158720 \sqrt{-10 x^{2}-x +3}\, x^{2}+357680 \sqrt{-10 x^{2}-x +3}\, x +46953687 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-120463380 \sqrt{-10 x^{2}-x +3}\right)}{4915200 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/4915200*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(184320000*(-10*x^2-x+3)^(1/2)*x^5+562176000*(-10*x^2-x+3)^(1/2)*x^4+657753600*(-10*x^2-x+3)^(1/2)*x^3+330158720*(-10*x^2-x+3)^(1/2)*x^2+46953687*10^(1/2)*arcsin(20/11*x+1/11)+357680*(-10*x^2-x+3)^(1/2)*x-120463380*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2289,1,121,99,0.010000," ","int((3*x+2)*(5*x+3)^(5/2)*(-2*x+1)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(46080000 \sqrt{-10 x^{2}-x +3}\, x^{4}+108096000 \sqrt{-10 x^{2}-x +3}\, x^{3}+86204800 \sqrt{-10 x^{2}-x +3}\, x^{2}+14366800 \sqrt{-10 x^{2}-x +3}\, x +11024673 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-25081740 \sqrt{-10 x^{2}-x +3}\right)}{3072000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/3072000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(46080000*(-10*x^2-x+3)^(1/2)*x^4+108096000*(-10*x^2-x+3)^(1/2)*x^3+86204800*(-10*x^2-x+3)^(1/2)*x^2+11024673*10^(1/2)*arcsin(20/11*x+1/11)+14366800*(-10*x^2-x+3)^(1/2)*x-25081740*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2290,1,104,83,0.005000," ","int((5*x+3)^(5/2)*(-2*x+1)^(1/2),x)","\frac{14641 \sqrt{\left(-2 x +1\right) \left(5 x +3\right)}\, \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)}{10240 \sqrt{5 x +3}\, \sqrt{-2 x +1}}+\frac{\left(5 x +3\right)^{\frac{7}{2}} \sqrt{-2 x +1}}{20}-\frac{11 \left(5 x +3\right)^{\frac{5}{2}} \sqrt{-2 x +1}}{240}-\frac{121 \left(5 x +3\right)^{\frac{3}{2}} \sqrt{-2 x +1}}{384}-\frac{1331 \sqrt{-2 x +1}\, \sqrt{5 x +3}}{512}"," ",0,"1/20*(5*x+3)^(7/2)*(-2*x+1)^(1/2)-11/240*(5*x+3)^(5/2)*(-2*x+1)^(1/2)-121/384*(5*x+3)^(3/2)*(-2*x+1)^(1/2)-1331/512*(-2*x+1)^(1/2)*(5*x+3)^(1/2)+14641/10240*((-2*x+1)*(5*x+3))^(1/2)/(5*x+3)^(1/2)/(-2*x+1)^(1/2)*10^(1/2)*arcsin(20/11*x+1/11)","A"
2291,1,115,92,0.011000," ","int((5*x+3)^(5/2)*(-2*x+1)^(1/2)/(3*x+2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(28800 \sqrt{-10 x^{2}-x +3}\, x^{2}+23760 \sqrt{-10 x^{2}-x +3}\, x +6553 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-128 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-7212 \sqrt{-10 x^{2}-x +3}\right)}{10368 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/10368*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(28800*(-10*x^2-x+3)^(1/2)*x^2+6553*10^(1/2)*arcsin(20/11*x+1/11)-128*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+23760*(-10*x^2-x+3)^(1/2)*x-7212*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2292,1,163,99,0.013000," ","int((5*x+3)^(5/2)*(-2*x+1)^(1/2)/(3*x+2)^2,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(25200 \sqrt{-10 x^{2}-x +3}\, x^{2}+3255 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+2832 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+11340 \sqrt{-10 x^{2}-x +3}\, x +2170 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+1888 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-3864 \sqrt{-10 x^{2}-x +3}\right)}{6048 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)}"," ",0,"1/6048*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3255*10^(1/2)*x*arcsin(20/11*x+1/11)+2832*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+25200*(-10*x^2-x+3)^(1/2)*x^2+2170*10^(1/2)*arcsin(20/11*x+1/11)+1888*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+11340*(-10*x^2-x+3)^(1/2)*x-3864*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)","A"
2293,1,208,106,0.014000," ","int((5*x+3)^(5/2)*(-2*x+1)^(1/2)/(3*x+2)^3,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(22050 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-19071 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+29400 \sqrt{-10 x^{2}-x +3}\, x^{2}+29400 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-25428 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+43638 \sqrt{-10 x^{2}-x +3}\, x +9800 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-8476 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+15960 \sqrt{-10 x^{2}-x +3}\right)}{3528 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{2}}"," ",0,"1/3528*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(22050*10^(1/2)*x^2*arcsin(20/11*x+1/11)-19071*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+29400*10^(1/2)*x*arcsin(20/11*x+1/11)-25428*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+29400*(-10*x^2-x+3)^(1/2)*x^2+9800*10^(1/2)*arcsin(20/11*x+1/11)-8476*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+43638*(-10*x^2-x+3)^(1/2)*x+15960*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^2","A"
2294,1,253,113,0.013000," ","int((5*x+3)^(5/2)*(-2*x+1)^(1/2)/(3*x+2)^4,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-3704400 \sqrt{10}\, x^{3} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+6761691 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-7408800 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+13523382 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-5215518 \sqrt{-10 x^{2}-x +3}\, x^{2}-4939200 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+9015588 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-6685308 \sqrt{-10 x^{2}-x +3}\, x -1097600 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+2003464 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-2144352 \sqrt{-10 x^{2}-x +3}\right)}{444528 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{3}}"," ",0,"1/444528*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(6761691*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-3704400*10^(1/2)*arcsin(20/11*x+1/11)*x^3+13523382*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-7408800*10^(1/2)*x^2*arcsin(20/11*x+1/11)+9015588*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-4939200*10^(1/2)*x*arcsin(20/11*x+1/11)-5215518*(-10*x^2-x+3)^(1/2)*x^2+2003464*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-1097600*10^(1/2)*arcsin(20/11*x+1/11)-6685308*(-10*x^2-x+3)^(1/2)*x-2144352*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^3","B"
2295,1,250,118,0.013000," ","int((5*x+3)^(5/2)*(-2*x+1)^(1/2)/(3*x+2)^5,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(17788815 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+47436840 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+11401530 \sqrt{-10 x^{2}-x +3}\, x^{3}+47436840 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+18000080 \sqrt{-10 x^{2}-x +3}\, x^{2}+21083040 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+9162104 \sqrt{-10 x^{2}-x +3}\, x +3513840 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1477728 \sqrt{-10 x^{2}-x +3}\right)}{921984 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{4}}"," ",0,"1/921984*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(17788815*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+47436840*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+47436840*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+11401530*(-10*x^2-x+3)^(1/2)*x^3+21083040*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+18000080*(-10*x^2-x+3)^(1/2)*x^2+3513840*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+9162104*(-10*x^2-x+3)^(1/2)*x+1477728*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^4","B"
2296,1,298,141,0.013000," ","int((5*x+3)^(5/2)*(-2*x+1)^(1/2)/(3*x+2)^6,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(907229565 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3024098550 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+383910030 \sqrt{-10 x^{2}-x +3}\, x^{4}+4032131400 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1048817700 \sqrt{-10 x^{2}-x +3}\, x^{3}+2688087600 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1043707784 \sqrt{-10 x^{2}-x +3}\, x^{2}+896029200 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+450887696 \sqrt{-10 x^{2}-x +3}\, x +119470560 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+71580096 \sqrt{-10 x^{2}-x +3}\right)}{9219840 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{5}}"," ",0,"1/9219840*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(907229565*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3024098550*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+4032131400*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+383910030*(-10*x^2-x+3)^(1/2)*x^4+2688087600*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1048817700*(-10*x^2-x+3)^(1/2)*x^3+896029200*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1043707784*(-10*x^2-x+3)^(1/2)*x^2+119470560*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+450887696*(-10*x^2-x+3)^(1/2)*x+71580096*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^5","B"
2297,1,346,164,0.015000," ","int((5*x+3)^(5/2)*(-2*x+1)^(1/2)/(3*x+2)^7,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(164422017045 \sqrt{7}\, x^{6} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+657688068180 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+67253717790 \sqrt{-10 x^{2}-x +3}\, x^{5}+1096146780300 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+227287047960 \sqrt{-10 x^{2}-x +3}\, x^{4}+974352693600 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+307452849312 \sqrt{-10 x^{2}-x +3}\, x^{3}+487176346800 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+207465599936 \sqrt{-10 x^{2}-x +3}\, x^{2}+129913692480 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+69697379360 \sqrt{-10 x^{2}-x +3}\, x +14434854720 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+9313782912 \sqrt{-10 x^{2}-x +3}\right)}{258155520 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{6}}"," ",0,"1/258155520*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(164422017045*7^(1/2)*x^6*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+657688068180*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1096146780300*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+67253717790*(-10*x^2-x+3)^(1/2)*x^5+974352693600*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+227287047960*(-10*x^2-x+3)^(1/2)*x^4+487176346800*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+307452849312*(-10*x^2-x+3)^(1/2)*x^3+129913692480*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+207465599936*(-10*x^2-x+3)^(1/2)*x^2+14434854720*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+69697379360*(-10*x^2-x+3)^(1/2)*x+9313782912*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^6","B"
2298,1,394,187,0.022000," ","int((5*x+3)^(5/2)*(-2*x+1)^(1/2)/(3*x+2)^8,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(122557161637845 \sqrt{7}\, x^{7} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+571933420976610 \sqrt{7}\, x^{6} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+50000414847390 \sqrt{-10 x^{2}-x +3}\, x^{6}+1143866841953220 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+202238577496620 \sqrt{-10 x^{2}-x +3}\, x^{5}+1270963157725800 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+340917181344432 \sqrt{-10 x^{2}-x +3}\, x^{4}+847308771817200 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+306585279928704 \sqrt{-10 x^{2}-x +3}\, x^{3}+338923508726880 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+155087260368544 \sqrt{-10 x^{2}-x +3}\, x^{2}+75316335272640 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+41822190905152 \sqrt{-10 x^{2}-x +3}\, x +7172984311680 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+4694702439168 \sqrt{-10 x^{2}-x +3}\right)}{25299240960 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{7}}"," ",0,"1/25299240960*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(122557161637845*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))*x^7+571933420976610*7^(1/2)*x^6*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1143866841953220*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+50000414847390*(-10*x^2-x+3)^(1/2)*x^6+1270963157725800*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+202238577496620*(-10*x^2-x+3)^(1/2)*x^5+847308771817200*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+340917181344432*(-10*x^2-x+3)^(1/2)*x^4+338923508726880*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+306585279928704*(-10*x^2-x+3)^(1/2)*x^3+75316335272640*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+155087260368544*(-10*x^2-x+3)^(1/2)*x^2+7172984311680*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+41822190905152*(-10*x^2-x+3)^(1/2)*x+4694702439168*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^7","B"
2299,1,300,95,0.052000," ","int((b*x+a)^(1/2)/(f*x+e)/(d*x+c)^(1/2),x)","\frac{\left(-\sqrt{b d}\, a f \ln \left(\frac{a d f x +b c f x -2 b d e x +2 a c f -a d e -b c e +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{\frac{\left(c f -d e \right) \left(a f -b e \right)}{f^{2}}}\, f}{f x +e}\right)+\sqrt{b d}\, b e \ln \left(\frac{a d f x +b c f x -2 b d e x +2 a c f -a d e -b c e +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{\frac{\left(c f -d e \right) \left(a f -b e \right)}{f^{2}}}\, f}{f x +e}\right)+\sqrt{\frac{\left(c f -d e \right) \left(a f -b e \right)}{f^{2}}}\, b f \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)\right) \sqrt{d x +c}\, \sqrt{b x +a}}{\sqrt{\frac{\left(c f -d e \right) \left(a f -b e \right)}{f^{2}}}\, \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, f^{2}}"," ",0,"(-ln((a*d*f*x+b*c*f*x-2*b*d*e*x+2*((b*x+a)*(d*x+c))^(1/2)*((c*f-d*e)*(a*f-b*e)/f^2)^(1/2)*f+2*a*c*f-a*d*e-b*c*e)/(f*x+e))*a*f*(b*d)^(1/2)+ln((a*d*f*x+b*c*f*x-2*b*d*e*x+2*((b*x+a)*(d*x+c))^(1/2)*((c*f-d*e)*(a*f-b*e)/f^2)^(1/2)*f+2*a*c*f-a*d*e-b*c*e)/(f*x+e))*b*e*(b*d)^(1/2)+ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*b*f*((c*f-d*e)*(a*f-b*e)/f^2)^(1/2))*(d*x+c)^(1/2)*(b*x+a)^(1/2)/((c*f-d*e)*(a*f-b*e)/f^2)^(1/2)/(b*d)^(1/2)/f^2/((b*x+a)*(d*x+c))^(1/2)","B"
2300,1,300,95,0.027000," ","int((d*x+c)^(1/2)/(f*x+e)/(b*x+a)^(1/2),x)","\frac{\left(-\sqrt{b d}\, c f \ln \left(\frac{a d f x +b c f x -2 b d e x +2 a c f -a d e -b c e +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{\frac{\left(c f -d e \right) \left(a f -b e \right)}{f^{2}}}\, f}{f x +e}\right)+\sqrt{b d}\, d e \ln \left(\frac{a d f x +b c f x -2 b d e x +2 a c f -a d e -b c e +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{\frac{\left(c f -d e \right) \left(a f -b e \right)}{f^{2}}}\, f}{f x +e}\right)+\sqrt{\frac{\left(c f -d e \right) \left(a f -b e \right)}{f^{2}}}\, d f \ln \left(\frac{2 b d x +a d +b c +2 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, \sqrt{b d}}{2 \sqrt{b d}}\right)\right) \sqrt{b x +a}\, \sqrt{d x +c}}{\sqrt{\frac{\left(c f -d e \right) \left(a f -b e \right)}{f^{2}}}\, \sqrt{b d}\, \sqrt{\left(b x +a \right) \left(d x +c \right)}\, f^{2}}"," ",0,"(ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*d*f*((c*f-d*e)*(a*f-b*e)/f^2)^(1/2)-ln((a*d*f*x+b*c*f*x-2*b*d*e*x+2*a*c*f-a*d*e-b*c*e+2*((b*x+a)*(d*x+c))^(1/2)*((c*f-d*e)*(a*f-b*e)/f^2)^(1/2)*f)/(f*x+e))*c*f*(b*d)^(1/2)+ln((a*d*f*x+b*c*f*x-2*b*d*e*x+2*a*c*f-a*d*e-b*c*e+2*((b*x+a)*(d*x+c))^(1/2)*((c*f-d*e)*(a*f-b*e)/f^2)^(1/2)*f)/(f*x+e))*d*e*(b*d)^(1/2))*(b*x+a)^(1/2)*(d*x+c)^(1/2)/((c*f-d*e)*(a*f-b*e)/f^2)^(1/2)/(b*d)^(1/2)/f^2/((b*x+a)*(d*x+c))^(1/2)","B"
2301,1,104,79,0.011000," ","int((3*x+2)^3*(-2*x+1)^(1/2)/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(1728000 \sqrt{-10 x^{2}-x +3}\, x^{3}+3254400 \sqrt{-10 x^{2}-x +3}\, x^{2}+1522800 \sqrt{-10 x^{2}-x +3}\, x +525371 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-835780 \sqrt{-10 x^{2}-x +3}\right)}{1280000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/1280000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(1728000*(-10*x^2-x+3)^(1/2)*x^3+3254400*(-10*x^2-x+3)^(1/2)*x^2+525371*10^(1/2)*arcsin(20/11*x+1/11)+1522800*(-10*x^2-x+3)^(1/2)*x-835780*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2302,1,87,72,0.011000," ","int((3*x+2)^2*(-2*x+1)^(1/2)/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(9600 \sqrt{-10 x^{2}-x +3}\, x^{2}+10800 \sqrt{-10 x^{2}-x +3}\, x +3047 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-2260 \sqrt{-10 x^{2}-x +3}\right)}{16000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/16000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(9600*(-10*x^2-x+3)^(1/2)*x^2+3047*10^(1/2)*arcsin(20/11*x+1/11)+10800*(-10*x^2-x+3)^(1/2)*x-2260*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2303,1,70,51,0.008000," ","int((3*x+2)*(-2*x+1)^(1/2)/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(1200 \sqrt{-10 x^{2}-x +3}\, x +451 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+220 \sqrt{-10 x^{2}-x +3}\right)}{4000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/4000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(451*10^(1/2)*arcsin(20/11*x+1/11)+1200*(-10*x^2-x+3)^(1/2)*x+220*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2304,1,56,35,0.003000," ","int((-2*x+1)^(1/2)/(5*x+3)^(1/2),x)","\frac{11 \sqrt{\left(-2 x +1\right) \left(5 x +3\right)}\, \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)}{100 \sqrt{5 x +3}\, \sqrt{-2 x +1}}+\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}}{5}"," ",0,"1/5*(-2*x+1)^(1/2)*(5*x+3)^(1/2)+11/100*((-2*x+1)*(5*x+3))^(1/2)/(5*x+3)^(1/2)/(-2*x+1)^(1/2)*10^(1/2)*arcsin(20/11*x+1/11)","A"
2305,1,68,44,0.013000," ","int((-2*x+1)^(1/2)/(3*x+2)/(5*x+3)^(1/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(\sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-5 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)\right)}{15 \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/15*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(10^(1/2)*arcsin(20/11*x+1/11)-5*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2)))/(-10*x^2-x+3)^(1/2)","A"
2306,1,108,48,0.013000," ","int((-2*x+1)^(1/2)/(3*x+2)^2/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(33 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+22 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+14 \sqrt{-10 x^{2}-x +3}\right)}{14 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)}"," ",0,"1/14*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(33*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+22*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+14*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)","B"
2307,1,154,72,0.015000," ","int((-2*x+1)^(1/2)/(3*x+2)^3/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(10593 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+14124 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+4326 \sqrt{-10 x^{2}-x +3}\, x +4708 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3080 \sqrt{-10 x^{2}-x +3}\right)}{392 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{2}}"," ",0,"1/392*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(10593*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+14124*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+4708*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+4326*(-10*x^2-x+3)^(1/2)*x+3080*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^2","B"
2308,1,202,95,0.015000," ","int((-2*x+1)^(1/2)/(3*x+2)^4/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(1861893 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3723786 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+759486 \sqrt{-10 x^{2}-x +3}\, x^{2}+2482524 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1046556 \sqrt{-10 x^{2}-x +3}\, x +551672 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+361984 \sqrt{-10 x^{2}-x +3}\right)}{5488 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{3}}"," ",0,"1/5488*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(1861893*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3723786*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2482524*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+759486*(-10*x^2-x+3)^(1/2)*x^2+551672*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1046556*(-10*x^2-x+3)^(1/2)*x+361984*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^3","B"
2309,1,250,118,0.016000," ","int((-2*x+1)^(1/2)/(3*x+2)^5/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(1370959425 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3655891800 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+559203750 \sqrt{-10 x^{2}-x +3}\, x^{3}+3655891800 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1143359280 \sqrt{-10 x^{2}-x +3}\, x^{2}+1624840800 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+780207624 \sqrt{-10 x^{2}-x +3}\, x +270806800 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+177745568 \sqrt{-10 x^{2}-x +3}\right)}{307328 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{4}}"," ",0,"1/307328*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(1370959425*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3655891800*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3655891800*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+559203750*(-10*x^2-x+3)^(1/2)*x^3+1624840800*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1143359280*(-10*x^2-x+3)^(1/2)*x^2+270806800*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+780207624*(-10*x^2-x+3)^(1/2)*x+177745568*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^4","B"
2310,1,116,86,0.015000," ","int((3*x+2)^3*(-2*x+1)^(1/2)/(5*x+3)^(3/2),x)","\frac{\left(144000 \sqrt{-10 x^{2}-x +3}\, x^{3}+262800 \sqrt{-10 x^{2}-x +3}\, x^{2}+52045 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+76500 \sqrt{-10 x^{2}-x +3}\, x +31227 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-17860 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{80000 \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"1/80000*(144000*(-10*x^2-x+3)^(1/2)*x^3+52045*10^(1/2)*x*arcsin(20/11*x+1/11)+262800*(-10*x^2-x+3)^(1/2)*x^2+31227*10^(1/2)*arcsin(20/11*x+1/11)+76500*(-10*x^2-x+3)^(1/2)*x-17860*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","A"
2311,1,99,67,0.013000," ","int((3*x+2)^2*(-2*x+1)^(1/2)/(5*x+3)^(3/2),x)","\frac{\left(3600 \sqrt{-10 x^{2}-x +3}\, x^{2}+1585 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+3300 \sqrt{-10 x^{2}-x +3}\, x +951 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+620 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{4000 \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"1/4000*(1585*10^(1/2)*x*arcsin(20/11*x+1/11)+3600*(-10*x^2-x+3)^(1/2)*x^2+951*10^(1/2)*arcsin(20/11*x+1/11)+3300*(-10*x^2-x+3)^(1/2)*x+620*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","A"
2312,1,82,51,0.010000," ","int((3*x+2)*(-2*x+1)^(1/2)/(5*x+3)^(3/2),x)","\frac{\left(145 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+300 \sqrt{-10 x^{2}-x +3}\, x +87 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+140 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{500 \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"1/500*(145*10^(1/2)*x*arcsin(20/11*x+1/11)+87*10^(1/2)*arcsin(20/11*x+1/11)+300*(-10*x^2-x+3)^(1/2)*x+140*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","A"
2313,0,0,35,0.196000," ","int((-2*x+1)^(1/2)/(5*x+3)^(3/2),x)","\int \frac{\sqrt{-2 x +1}}{\left(5 x +3\right)^{\frac{3}{2}}}\, dx"," ",0,"int((-2*x+1)^(1/2)/(5*x+3)^(3/2),x)","F"
2314,1,100,42,0.015000," ","int((-2*x+1)^(1/2)/(3*x+2)/(5*x+3)^(3/2),x)","\frac{\left(-5 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-3 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-2 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{\sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"(-5*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-3*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-2*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2315,1,154,65,0.013000," ","int((-2*x+1)^(1/2)/(3*x+2)^2/(5*x+3)^(3/2),x)","-\frac{\left(1545 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1957 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+630 \sqrt{-10 x^{2}-x +3}\, x +618 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+406 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{14 \left(3 x +2\right) \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/14*(1545*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1957*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+618*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+630*(-10*x^2-x+3)^(1/2)*x+406*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2316,1,202,88,0.014000," ","int((-2*x+1)^(1/2)/(3*x+2)^3/(5*x+3)^(3/2),x)","-\frac{\left(807795 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1561737 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+329490 \sqrt{-10 x^{2}-x +3}\, x^{2}+1005256 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+432054 \sqrt{-10 x^{2}-x +3}\, x +215412 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+141400 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{392 \left(3 x +2\right)^{2} \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/392*(807795*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1561737*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1005256*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+329490*(-10*x^2-x+3)^(1/2)*x^2+215412*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+432054*(-10*x^2-x+3)^(1/2)*x+141400*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)^2/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2317,1,250,111,0.015000," ","int((-2*x+1)^(1/2)/(3*x+2)^4/(5*x+3)^(3/2),x)","-\frac{\left(197565345 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+513669897 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+80585190 \sqrt{-10 x^{2}-x +3}\, x^{3}+500498874 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+159393654 \sqrt{-10 x^{2}-x +3}\, x^{2}+216590156 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+105030324 \sqrt{-10 x^{2}-x +3}\, x +35122728 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+23053856 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{5488 \left(3 x +2\right)^{3} \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/5488*(197565345*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+513669897*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+500498874*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+80585190*(-10*x^2-x+3)^(1/2)*x^3+216590156*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+159393654*(-10*x^2-x+3)^(1/2)*x^2+35122728*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+105030324*(-10*x^2-x+3)^(1/2)*x+23053856*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)^3/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2318,1,147,109,0.017000," ","int((3*x+2)^4*(-2*x+1)^(1/2)/(5*x+3)^(5/2),x)","\frac{\left(71280000 \sqrt{-10 x^{2}-x +3}\, x^{4}+179982000 \sqrt{-10 x^{2}-x +3}\, x^{3}+29296575 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+127680300 \sqrt{-10 x^{2}-x +3}\, x^{2}+35155890 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+19917400 \sqrt{-10 x^{2}-x +3}\, x +10546767 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-4379060 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{13200000 \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/13200000*(71280000*(-10*x^2-x+3)^(1/2)*x^4+29296575*10^(1/2)*x^2*arcsin(20/11*x+1/11)+179982000*(-10*x^2-x+3)^(1/2)*x^3+35155890*10^(1/2)*x*arcsin(20/11*x+1/11)+127680300*(-10*x^2-x+3)^(1/2)*x^2+10546767*10^(1/2)*arcsin(20/11*x+1/11)+19917400*(-10*x^2-x+3)^(1/2)*x-4379060*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","A"
2319,1,130,86,0.014000," ","int((3*x+2)^3*(-2*x+1)^(1/2)/(5*x+3)^(5/2),x)","\frac{\left(1782000 \sqrt{-10 x^{2}-x +3}\, x^{3}+883575 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+2940300 \sqrt{-10 x^{2}-x +3}\, x^{2}+1060290 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+1509400 \sqrt{-10 x^{2}-x +3}\, x +318087 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+231340 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{660000 \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/660000*(883575*10^(1/2)*x^2*arcsin(20/11*x+1/11)+1782000*(-10*x^2-x+3)^(1/2)*x^3+1060290*10^(1/2)*x*arcsin(20/11*x+1/11)+2940300*(-10*x^2-x+3)^(1/2)*x^2+318087*10^(1/2)*arcsin(20/11*x+1/11)+1509400*(-10*x^2-x+3)^(1/2)*x+231340*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","A"
2320,1,113,67,0.013000," ","int((3*x+2)^2*(-2*x+1)^(1/2)/(5*x+3)^(5/2),x)","\frac{\left(2475 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+5940 \sqrt{-10 x^{2}-x +3}\, x^{2}+2970 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+5560 \sqrt{-10 x^{2}-x +3}\, x +891 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+1180 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{3300 \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/3300*(2475*10^(1/2)*x^2*arcsin(20/11*x+1/11)+2970*10^(1/2)*x*arcsin(20/11*x+1/11)+5940*(-10*x^2-x+3)^(1/2)*x^2+891*10^(1/2)*arcsin(20/11*x+1/11)+5560*(-10*x^2-x+3)^(1/2)*x+1180*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","A"
2321,1,96,51,0.012000," ","int((3*x+2)*(-2*x+1)^(1/2)/(5*x+3)^(5/2),x)","-\frac{\left(2475 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+2970 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+4850 \sqrt{-10 x^{2}-x +3}\, x +891 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+3020 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{4125 \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"-1/4125*(2475*10^(1/2)*x^2*arcsin(20/11*x+1/11)+2970*10^(1/2)*x*arcsin(20/11*x+1/11)+891*10^(1/2)*arcsin(20/11*x+1/11)+4850*(-10*x^2-x+3)^(1/2)*x+3020*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","A"
2322,1,17,16,0.003000," ","int((-2*x+1)^(1/2)/(5*x+3)^(5/2),x)","-\frac{2 \left(-2 x +1\right)^{\frac{3}{2}}}{33 \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"-2/33*(-2*x+1)^(3/2)/(5*x+3)^(3/2)","A"
2323,1,147,58,0.013000," ","int((-2*x+1)^(1/2)/(3*x+2)/(5*x+3)^(5/2),x)","\frac{\left(2475 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2970 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1010 \sqrt{-10 x^{2}-x +3}\, x +891 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+584 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{33 \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/33*(2475*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2970*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+891*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1010*(-10*x^2-x+3)^(1/2)*x+584*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","B"
2324,1,202,80,0.015000," ","int((-2*x+1)^(1/2)/(3*x+2)^2/(5*x+3)^(5/2),x)","\frac{\left(1284525 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2397780 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+523950 \sqrt{-10 x^{2}-x +3}\, x^{2}+1490049 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+652120 \sqrt{-10 x^{2}-x +3}\, x +308286 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+202342 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{462 \left(3 x +2\right) \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/462*(1284525*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2397780*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1490049*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+523950*(-10*x^2-x+3)^(1/2)*x^2+308286*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+652120*(-10*x^2-x+3)^(1/2)*x+202342*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","B"
2325,1,250,104,0.015000," ","int((-2*x+1)^(1/2)/(3*x+2)^3/(5*x+3)^(5/2),x)","\frac{\left(939359025 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2379709530 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+383156550 \sqrt{-10 x^{2}-x +3}\, x^{3}+2258636589 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+732321660 \sqrt{-10 x^{2}-x +3}\, x^{2}+951883812 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+465890278 \sqrt{-10 x^{2}-x +3}\, x +150297444 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+98651560 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{12936 \left(3 x +2\right)^{2} \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/12936*(939359025*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2379709530*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2258636589*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+383156550*(-10*x^2-x+3)^(1/2)*x^3+951883812*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+732321660*(-10*x^2-x+3)^(1/2)*x^2+150297444*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+465890278*(-10*x^2-x+3)^(1/2)*x+98651560*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)^2/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","B"
2326,1,298,127,0.015000," ","int((-2*x+1)^(1/2)/(3*x+2)^4/(5*x+3)^(5/2),x)","\frac{\left(295060241025 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+944192771280 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+120352544550 \sqrt{-10 x^{2}-x +3}\, x^{4}+1207779919929 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+310263125760 \sqrt{-10 x^{2}-x +3}\, x^{3}+771965015778 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+299691916398 \sqrt{-10 x^{2}-x +3}\, x^{2}+246539223612 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+128547131468 \sqrt{-10 x^{2}-x +3}\, x +31473092376 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+20658213632 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{181104 \left(3 x +2\right)^{3} \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/181104*(295060241025*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+944192771280*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1207779919929*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+120352544550*(-10*x^2-x+3)^(1/2)*x^4+771965015778*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+310263125760*(-10*x^2-x+3)^(1/2)*x^3+246539223612*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+299691916398*(-10*x^2-x+3)^(1/2)*x^2+31473092376*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+128547131468*(-10*x^2-x+3)^(1/2)*x+20658213632*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)^3/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","B"
2327,1,138,111,0.011000," ","int((-2*x+1)^(3/2)*(3*x+2)^3*(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-13824000000 \sqrt{-10 x^{2}-x +3}\, x^{5}-25021440000 \sqrt{-10 x^{2}-x +3}\, x^{4}-6170688000 \sqrt{-10 x^{2}-x +3}\, x^{3}+12471337600 \sqrt{-10 x^{2}-x +3}\, x^{2}+7491473200 \sqrt{-10 x^{2}-x +3}\, x +1357552119 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-1628118420 \sqrt{-10 x^{2}-x +3}\right)}{1536000000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/1536000000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(-13824000000*(-10*x^2-x+3)^(1/2)*x^5-25021440000*(-10*x^2-x+3)^(1/2)*x^4-6170688000*(-10*x^2-x+3)^(1/2)*x^3+12471337600*(-10*x^2-x+3)^(1/2)*x^2+1357552119*10^(1/2)*arcsin(20/11*x+1/11)+7491473200*(-10*x^2-x+3)^(1/2)*x-1628118420*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2328,1,121,104,0.010000," ","int((-2*x+1)^(3/2)*(3*x+2)^2*(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-138240000 \sqrt{-10 x^{2}-x +3}\, x^{4}-145728000 \sqrt{-10 x^{2}-x +3}\, x^{3}+62825600 \sqrt{-10 x^{2}-x +3}\, x^{2}+97449200 \sqrt{-10 x^{2}-x +3}\, x +16463139 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-7642020 \sqrt{-10 x^{2}-x +3}\right)}{38400000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/38400000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(-138240000*(-10*x^2-x+3)^(1/2)*x^4-145728000*(-10*x^2-x+3)^(1/2)*x^3+62825600*(-10*x^2-x+3)^(1/2)*x^2+16463139*10^(1/2)*arcsin(20/11*x+1/11)+97449200*(-10*x^2-x+3)^(1/2)*x-7642020*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2329,1,104,83,0.010000," ","int((-2*x+1)^(3/2)*(3*x+2)*(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-576000 \sqrt{-10 x^{2}-x +3}\, x^{3}-137600 \sqrt{-10 x^{2}-x +3}\, x^{2}+468400 \sqrt{-10 x^{2}-x +3}\, x +91839 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+39180 \sqrt{-10 x^{2}-x +3}\right)}{384000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/384000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(-576000*(-10*x^2-x+3)^(1/2)*x^3-137600*(-10*x^2-x+3)^(1/2)*x^2+91839*10^(1/2)*arcsin(20/11*x+1/11)+468400*(-10*x^2-x+3)^(1/2)*x+39180*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2330,1,88,67,0.004000," ","int((-2*x+1)^(3/2)*(5*x+3)^(1/2),x)","\frac{1331 \sqrt{\left(-2 x +1\right) \left(5 x +3\right)}\, \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)}{8000 \sqrt{5 x +3}\, \sqrt{-2 x +1}}+\frac{\left(-2 x +1\right)^{\frac{3}{2}} \left(5 x +3\right)^{\frac{3}{2}}}{15}+\frac{11 \left(5 x +3\right)^{\frac{3}{2}} \sqrt{-2 x +1}}{100}-\frac{121 \sqrt{-2 x +1}\, \sqrt{5 x +3}}{400}"," ",0,"1/15*(-2*x+1)^(3/2)*(5*x+3)^(3/2)+11/100*(5*x+3)^(3/2)*(-2*x+1)^(1/2)-121/400*(-2*x+1)^(1/2)*(5*x+3)^(1/2)+1331/8000*((-2*x+1)*(5*x+3))^(1/2)/(5*x+3)^(1/2)/(-2*x+1)^(1/2)*10^(1/2)*arcsin(20/11*x+1/11)","A"
2331,1,98,76,0.012000," ","int((-2*x+1)^(3/2)*(5*x+3)^(1/2)/(3*x+2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-3600 \sqrt{-10 x^{2}-x +3}\, x +4091 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-2800 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+8220 \sqrt{-10 x^{2}-x +3}\right)}{10800 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/10800*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(4091*10^(1/2)*arcsin(20/11*x+1/11)-2800*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-3600*(-10*x^2-x+3)^(1/2)*x+8220*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2332,1,146,83,0.012000," ","int((-2*x+1)^(3/2)*(5*x+3)^(1/2)/(3*x+2)^2,x)","-\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(321 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-615 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+180 \sqrt{-10 x^{2}-x +3}\, x +214 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-410 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+330 \sqrt{-10 x^{2}-x +3}\right)}{270 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)}"," ",0,"-1/270*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(321*10^(1/2)*x*arcsin(20/11*x+1/11)-615*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+214*10^(1/2)*arcsin(20/11*x+1/11)-410*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+180*(-10*x^2-x+3)^(1/2)*x+330*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)","A"
2333,1,191,90,0.012000," ","int((-2*x+1)^(3/2)*(5*x+3)^(1/2)/(3*x+2)^3,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(1008 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+7137 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1344 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+9516 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+5670 \sqrt{-10 x^{2}-x +3}\, x +448 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+3172 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3192 \sqrt{-10 x^{2}-x +3}\right)}{1512 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{2}}"," ",0,"1/1512*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(1008*10^(1/2)*x^2*arcsin(20/11*x+1/11)+7137*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1344*10^(1/2)*x*arcsin(20/11*x+1/11)+9516*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+448*10^(1/2)*arcsin(20/11*x+1/11)+3172*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+5670*(-10*x^2-x+3)^(1/2)*x+3192*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^2","B"
2334,1,202,95,0.013000," ","int((-2*x+1)^(3/2)*(5*x+3)^(1/2)/(3*x+2)^4,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(107811 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+215622 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+43442 \sqrt{-10 x^{2}-x +3}\, x^{2}+143748 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+61124 \sqrt{-10 x^{2}-x +3}\, x +31944 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+20832 \sqrt{-10 x^{2}-x +3}\right)}{2352 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{3}}"," ",0,"1/2352*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(107811*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+215622*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+143748*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+43442*(-10*x^2-x+3)^(1/2)*x^2+31944*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+61124*(-10*x^2-x+3)^(1/2)*x+20832*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^3","B"
2335,1,250,118,0.013000," ","int((-2*x+1)^(3/2)*(5*x+3)^(1/2)/(3*x+2)^5,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(58541373 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+156110328 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+23871246 \sqrt{-10 x^{2}-x +3}\, x^{3}+156110328 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+48803440 \sqrt{-10 x^{2}-x +3}\, x^{2}+69382368 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+33339880 \sqrt{-10 x^{2}-x +3}\, x +11563728 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+7583520 \sqrt{-10 x^{2}-x +3}\right)}{131712 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{4}}"," ",0,"1/131712*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(58541373*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+156110328*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+156110328*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+23871246*(-10*x^2-x+3)^(1/2)*x^3+69382368*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+48803440*(-10*x^2-x+3)^(1/2)*x^2+11563728*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+33339880*(-10*x^2-x+3)^(1/2)*x+7583520*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^4","B"
2336,1,298,141,0.013000," ","int((-2*x+1)^(3/2)*(5*x+3)^(1/2)/(3*x+2)^6,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(43697415465 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+145658051550 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+17823607830 \sqrt{-10 x^{2}-x +3}\, x^{4}+194210735400 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+48324782100 \sqrt{-10 x^{2}-x +3}\, x^{3}+129473823600 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+49162327144 \sqrt{-10 x^{2}-x +3}\, x^{2}+43157941200 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+22245382096 \sqrt{-10 x^{2}-x +3}\, x +5754392160 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3776638656 \sqrt{-10 x^{2}-x +3}\right)}{9219840 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{5}}"," ",0,"1/9219840*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(43697415465*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+145658051550*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+194210735400*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+17823607830*(-10*x^2-x+3)^(1/2)*x^4+129473823600*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+48324782100*(-10*x^2-x+3)^(1/2)*x^3+43157941200*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+49162327144*(-10*x^2-x+3)^(1/2)*x^2+5754392160*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+22245382096*(-10*x^2-x+3)^(1/2)*x+3776638656*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^5","B"
2337,1,155,127,0.012000," ","int((-2*x+1)^(3/2)*(3*x+2)^3*(5*x+3)^(3/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-552960000000 \sqrt{-10 x^{2}-x +3}\, x^{6}-1359360000000 \sqrt{-10 x^{2}-x +3}\, x^{5}-934640640000 \sqrt{-10 x^{2}-x +3}\, x^{4}+250542272000 \sqrt{-10 x^{2}-x +3}\, x^{3}+574151145600 \sqrt{-10 x^{2}-x +3}\, x^{2}+185768729200 \sqrt{-10 x^{2}-x +3}\, x +43536170139 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-79048222020 \sqrt{-10 x^{2}-x +3}\right)}{14336000000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/14336000000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(-552960000000*(-10*x^2-x+3)^(1/2)*x^6-1359360000000*(-10*x^2-x+3)^(1/2)*x^5-934640640000*(-10*x^2-x+3)^(1/2)*x^4+250542272000*(-10*x^2-x+3)^(1/2)*x^3+574151145600*(-10*x^2-x+3)^(1/2)*x^2+43536170139*10^(1/2)*arcsin(20/11*x+1/11)+185768729200*(-10*x^2-x+3)^(1/2)*x-79048222020*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2338,1,138,120,0.011000," ","int((-2*x+1)^(3/2)*(3*x+2)^2*(5*x+3)^(3/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-1536000000 \sqrt{-10 x^{2}-x +3}\, x^{5}-2657280000 \sqrt{-10 x^{2}-x +3}\, x^{4}-556096000 \sqrt{-10 x^{2}-x +3}\, x^{3}+1329859200 \sqrt{-10 x^{2}-x +3}\, x^{2}+745764400 \sqrt{-10 x^{2}-x +3}\, x +136205223 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-174109140 \sqrt{-10 x^{2}-x +3}\right)}{102400000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/102400000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(-1536000000*(-10*x^2-x+3)^(1/2)*x^5-2657280000*(-10*x^2-x+3)^(1/2)*x^4-556096000*(-10*x^2-x+3)^(1/2)*x^3+1329859200*(-10*x^2-x+3)^(1/2)*x^2+136205223*10^(1/2)*arcsin(20/11*x+1/11)+745764400*(-10*x^2-x+3)^(1/2)*x-174109140*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2339,1,121,99,0.009000," ","int((-2*x+1)^(3/2)*(3*x+2)*(5*x+3)^(3/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-15360000 \sqrt{-10 x^{2}-x +3}\, x^{4}-14912000 \sqrt{-10 x^{2}-x +3}\, x^{3}+7286400 \sqrt{-10 x^{2}-x +3}\, x^{2}+9786800 \sqrt{-10 x^{2}-x +3}\, x +1625151 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-936180 \sqrt{-10 x^{2}-x +3}\right)}{2560000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/2560000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(-15360000*(-10*x^2-x+3)^(1/2)*x^4-14912000*(-10*x^2-x+3)^(1/2)*x^3+7286400*(-10*x^2-x+3)^(1/2)*x^2+1625151*10^(1/2)*arcsin(20/11*x+1/11)+9786800*(-10*x^2-x+3)^(1/2)*x-936180*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2340,1,104,83,0.004000," ","int((-2*x+1)^(3/2)*(5*x+3)^(3/2),x)","\frac{43923 \sqrt{\left(-2 x +1\right) \left(5 x +3\right)}\, \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)}{128000 \sqrt{5 x +3}\, \sqrt{-2 x +1}}+\frac{\left(-2 x +1\right)^{\frac{3}{2}} \left(5 x +3\right)^{\frac{5}{2}}}{20}+\frac{11 \left(5 x +3\right)^{\frac{5}{2}} \sqrt{-2 x +1}}{200}-\frac{121 \left(5 x +3\right)^{\frac{3}{2}} \sqrt{-2 x +1}}{1600}-\frac{3993 \sqrt{-2 x +1}\, \sqrt{5 x +3}}{6400}"," ",0,"1/20*(-2*x+1)^(3/2)*(5*x+3)^(5/2)+11/200*(5*x+3)^(5/2)*(-2*x+1)^(1/2)-121/1600*(5*x+3)^(3/2)*(-2*x+1)^(1/2)-3993/6400*(-2*x+1)^(1/2)*(5*x+3)^(1/2)+43923/128000*((-2*x+1)*(5*x+3))^(1/2)/(5*x+3)^(1/2)/(-2*x+1)^(1/2)*10^(1/2)*arcsin(20/11*x+1/11)","A"
2341,1,115,92,0.011000," ","int((-2*x+1)^(3/2)*(5*x+3)^(3/2)/(3*x+2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-144000 \sqrt{-10 x^{2}-x +3}\, x^{2}+118800 \sqrt{-10 x^{2}-x +3}\, x +19573 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+11200 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+16260 \sqrt{-10 x^{2}-x +3}\right)}{129600 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/129600*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(-144000*(-10*x^2-x+3)^(1/2)*x^2+19573*10^(1/2)*arcsin(20/11*x+1/11)+11200*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+118800*(-10*x^2-x+3)^(1/2)*x+16260*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2342,1,163,99,0.013000," ","int((-2*x+1)^(3/2)*(5*x+3)^(3/2)/(3*x+2)^2,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-3600 \sqrt{-10 x^{2}-x +3}\, x^{2}+4947 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-4440 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+6300 \sqrt{-10 x^{2}-x +3}\, x +3298 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-2960 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+6360 \sqrt{-10 x^{2}-x +3}\right)}{2160 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)}"," ",0,"1/2160*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(4947*10^(1/2)*x*arcsin(20/11*x+1/11)-4440*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-3600*(-10*x^2-x+3)^(1/2)*x^2+3298*10^(1/2)*arcsin(20/11*x+1/11)-2960*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+6300*(-10*x^2-x+3)^(1/2)*x+6360*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)","A"
2343,1,208,106,0.013000," ","int((-2*x+1)^(3/2)*(5*x+3)^(3/2)/(3*x+2)^3,x)","-\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(9324 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-14841 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+5040 \sqrt{-10 x^{2}-x +3}\, x^{2}+12432 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-19788 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+14490 \sqrt{-10 x^{2}-x +3}\, x +4144 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-6596 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+7224 \sqrt{-10 x^{2}-x +3}\right)}{1512 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{2}}"," ",0,"-1/1512*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(9324*10^(1/2)*x^2*arcsin(20/11*x+1/11)-14841*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+12432*10^(1/2)*x*arcsin(20/11*x+1/11)-19788*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+5040*(-10*x^2-x+3)^(1/2)*x^2+4144*10^(1/2)*arcsin(20/11*x+1/11)-6596*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+14490*(-10*x^2-x+3)^(1/2)*x+7224*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^2","A"
2344,1,253,113,0.014000," ","int((-2*x+1)^(3/2)*(5*x+3)^(3/2)/(3*x+2)^4,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(211680 \sqrt{10}\, x^{3} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+528471 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+423360 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+1056942 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+799722 \sqrt{-10 x^{2}-x +3}\, x^{2}+282240 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+704628 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+914004 \sqrt{-10 x^{2}-x +3}\, x +62720 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+156584 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+259392 \sqrt{-10 x^{2}-x +3}\right)}{63504 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{3}}"," ",0,"1/63504*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(528471*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+211680*10^(1/2)*x^3*arcsin(20/11*x+1/11)+1056942*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+423360*10^(1/2)*x^2*arcsin(20/11*x+1/11)+704628*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+282240*10^(1/2)*x*arcsin(20/11*x+1/11)+799722*(-10*x^2-x+3)^(1/2)*x^2+156584*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+62720*10^(1/2)*arcsin(20/11*x+1/11)+914004*(-10*x^2-x+3)^(1/2)*x+259392*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^3","B"
2345,1,250,118,0.013000," ","int((-2*x+1)^(3/2)*(5*x+3)^(3/2)/(3*x+2)^5,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(3557763 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+9487368 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1402226 \sqrt{-10 x^{2}-x +3}\, x^{3}+9487368 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2985360 \sqrt{-10 x^{2}-x +3}\, x^{2}+4216608 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2043160 \sqrt{-10 x^{2}-x +3}\, x +702768 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+453600 \sqrt{-10 x^{2}-x +3}\right)}{43904 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{4}}"," ",0,"1/43904*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3557763*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+9487368*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+9487368*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1402226*(-10*x^2-x+3)^(1/2)*x^3+4216608*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2985360*(-10*x^2-x+3)^(1/2)*x^2+702768*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2043160*(-10*x^2-x+3)^(1/2)*x+453600*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^4","B"
2346,1,298,141,0.014000," ","int((-2*x+1)^(3/2)*(5*x+3)^(3/2)/(3*x+2)^6,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(1974558465 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+6581861550 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+804577830 \sqrt{-10 x^{2}-x +3}\, x^{4}+8775815400 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2180966900 \sqrt{-10 x^{2}-x +3}\, x^{3}+5850543600 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2222994984 \sqrt{-10 x^{2}-x +3}\, x^{2}+1950181200 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1006136656 \sqrt{-10 x^{2}-x +3}\, x +260024160 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+170202816 \sqrt{-10 x^{2}-x +3}\right)}{3073280 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{5}}"," ",0,"1/3073280*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(1974558465*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+6581861550*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+8775815400*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+804577830*(-10*x^2-x+3)^(1/2)*x^4+5850543600*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2180966900*(-10*x^2-x+3)^(1/2)*x^3+1950181200*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2222994984*(-10*x^2-x+3)^(1/2)*x^2+260024160*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1006136656*(-10*x^2-x+3)^(1/2)*x+170202816*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^5","B"
2347,1,346,164,0.013000," ","int((-2*x+1)^(3/2)*(5*x+3)^(3/2)/(3*x+2)^7,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(70924005405 \sqrt{7}\, x^{6} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+283696021620 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+28928044110 \sqrt{-10 x^{2}-x +3}\, x^{5}+472826702700 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+97716839640 \sqrt{-10 x^{2}-x +3}\, x^{4}+420290402400 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+132077448608 \sqrt{-10 x^{2}-x +3}\, x^{3}+210145201200 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+89306341824 \sqrt{-10 x^{2}-x +3}\, x^{2}+56038720320 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+30202550560 \sqrt{-10 x^{2}-x +3}\, x +6226524480 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+4085278848 \sqrt{-10 x^{2}-x +3}\right)}{12293120 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{6}}"," ",0,"1/12293120*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(70924005405*7^(1/2)*x^6*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+283696021620*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+472826702700*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+28928044110*(-10*x^2-x+3)^(1/2)*x^5+420290402400*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+97716839640*(-10*x^2-x+3)^(1/2)*x^4+210145201200*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+132077448608*(-10*x^2-x+3)^(1/2)*x^3+56038720320*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+89306341824*(-10*x^2-x+3)^(1/2)*x^2+6226524480*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+30202550560*(-10*x^2-x+3)^(1/2)*x+4085278848*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^6","B"
2348,1,394,187,0.015000," ","int((-2*x+1)^(3/2)*(5*x+3)^(3/2)/(3*x+2)^8,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(68009717209995 \sqrt{7}\, x^{7} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+317378680313310 \sqrt{7}\, x^{6} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+27740523990690 \sqrt{-10 x^{2}-x +3}\, x^{6}+634757360626620 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+112199818408020 \sqrt{-10 x^{2}-x +3}\, x^{5}+705285956251800 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+189128663195472 \sqrt{-10 x^{2}-x +3}\, x^{4}+470190637501200 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+170069285459584 \sqrt{-10 x^{2}-x +3}\, x^{3}+188076255000480 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+86046428675424 \sqrt{-10 x^{2}-x +3}\, x^{2}+41794723333440 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+23224932823232 \sqrt{-10 x^{2}-x +3}\, x +3980449841280 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2612529739008 \sqrt{-10 x^{2}-x +3}\right)}{1204725760 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{7}}"," ",0,"1/1204725760*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(68009717209995*7^(1/2)*x^7*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+317378680313310*7^(1/2)*x^6*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+634757360626620*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+27740523990690*(-10*x^2-x+3)^(1/2)*x^6+705285956251800*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+112199818408020*(-10*x^2-x+3)^(1/2)*x^5+470190637501200*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+189128663195472*(-10*x^2-x+3)^(1/2)*x^4+188076255000480*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+170069285459584*(-10*x^2-x+3)^(1/2)*x^3+41794723333440*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+86046428675424*(-10*x^2-x+3)^(1/2)*x^2+3980449841280*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+23224932823232*(-10*x^2-x+3)^(1/2)*x+2612529739008*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^7","B"
2349,1,172,143,0.010000," ","int((-2*x+1)^(3/2)*(3*x+2)^3*(5*x+3)^(5/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-15482880000000 \sqrt{-10 x^{2}-x +3}\, x^{7}-47886336000000 \sqrt{-10 x^{2}-x +3}\, x^{6}-51083980800000 \sqrt{-10 x^{2}-x +3}\, x^{5}-11841879040000 \sqrt{-10 x^{2}-x +3}\, x^{4}+18208394432000 \sqrt{-10 x^{2}-x +3}\, x^{3}+14990822633600 \sqrt{-10 x^{2}-x +3}\, x^{2}+2769184185200 \sqrt{-10 x^{2}-x +3}\, x +1035011806059 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-2320831567620 \sqrt{-10 x^{2}-x +3}\right)}{91750400000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/91750400000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(-15482880000000*(-10*x^2-x+3)^(1/2)*x^7-47886336000000*(-10*x^2-x+3)^(1/2)*x^6-51083980800000*(-10*x^2-x+3)^(1/2)*x^5-11841879040000*(-10*x^2-x+3)^(1/2)*x^4+18208394432000*(-10*x^2-x+3)^(1/2)*x^3+14990822633600*(-10*x^2-x+3)^(1/2)*x^2+1035011806059*10^(1/2)*arcsin(20/11*x+1/11)+2769184185200*(-10*x^2-x+3)^(1/2)*x-2320831567620*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2350,1,155,136,0.010000," ","int((-2*x+1)^(3/2)*(3*x+2)^2*(5*x+3)^(5/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-36864000000 \sqrt{-10 x^{2}-x +3}\, x^{6}-87756800000 \sqrt{-10 x^{2}-x +3}\, x^{5}-57349120000 \sqrt{-10 x^{2}-x +3}\, x^{4}+17740864000 \sqrt{-10 x^{2}-x +3}\, x^{3}+35794339200 \sqrt{-10 x^{2}-x +3}\, x^{2}+10992488400 \sqrt{-10 x^{2}-x +3}\, x +2648161593 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-4944877740 \sqrt{-10 x^{2}-x +3}\right)}{573440000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/573440000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(-36864000000*(-10*x^2-x+3)^(1/2)*x^6-87756800000*(-10*x^2-x+3)^(1/2)*x^5-57349120000*(-10*x^2-x+3)^(1/2)*x^4+17740864000*(-10*x^2-x+3)^(1/2)*x^3+35794339200*(-10*x^2-x+3)^(1/2)*x^2+2648161593*10^(1/2)*arcsin(20/11*x+1/11)+10992488400*(-10*x^2-x+3)^(1/2)*x-4944877740*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2351,1,138,115,0.010000," ","int((-2*x+1)^(3/2)*(3*x+2)*(5*x+3)^(5/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-102400000 \sqrt{-10 x^{2}-x +3}\, x^{5}-168960000 \sqrt{-10 x^{2}-x +3}\, x^{4}-29120000 \sqrt{-10 x^{2}-x +3}\, x^{3}+84771200 \sqrt{-10 x^{2}-x +3}\, x^{2}+44498000 \sqrt{-10 x^{2}-x +3}\, x +8213601 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-11107980 \sqrt{-10 x^{2}-x +3}\right)}{4096000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/4096000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(-102400000*(-10*x^2-x+3)^(1/2)*x^5-168960000*(-10*x^2-x+3)^(1/2)*x^4-29120000*(-10*x^2-x+3)^(1/2)*x^3+84771200*(-10*x^2-x+3)^(1/2)*x^2+8213601*10^(1/2)*arcsin(20/11*x+1/11)+44498000*(-10*x^2-x+3)^(1/2)*x-11107980*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2352,1,120,99,0.004000," ","int((-2*x+1)^(3/2)*(5*x+3)^(5/2),x)","\frac{483153 \sqrt{\left(-2 x +1\right) \left(5 x +3\right)}\, \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)}{512000 \sqrt{5 x +3}\, \sqrt{-2 x +1}}+\frac{\left(-2 x +1\right)^{\frac{3}{2}} \left(5 x +3\right)^{\frac{7}{2}}}{25}+\frac{33 \left(5 x +3\right)^{\frac{7}{2}} \sqrt{-2 x +1}}{1000}-\frac{121 \left(5 x +3\right)^{\frac{5}{2}} \sqrt{-2 x +1}}{4000}-\frac{1331 \left(5 x +3\right)^{\frac{3}{2}} \sqrt{-2 x +1}}{6400}-\frac{43923 \sqrt{-2 x +1}\, \sqrt{5 x +3}}{25600}"," ",0,"1/25*(-2*x+1)^(3/2)*(5*x+3)^(7/2)+33/1000*(5*x+3)^(7/2)*(-2*x+1)^(1/2)-121/4000*(5*x+3)^(5/2)*(-2*x+1)^(1/2)-1331/6400*(5*x+3)^(3/2)*(-2*x+1)^(1/2)-43923/25600*(-2*x+1)^(1/2)*(5*x+3)^(1/2)+483153/512000*((-2*x+1)*(5*x+3))^(1/2)/(5*x+3)^(1/2)/(-2*x+1)^(1/2)*10^(1/2)*arcsin(20/11*x+1/11)","A"
2353,1,132,108,0.012000," ","int((-2*x+1)^(3/2)*(5*x+3)^(5/2)/(3*x+2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-5184000 \sqrt{-10 x^{2}-x +3}\, x^{3}-316800 \sqrt{-10 x^{2}-x +3}\, x^{2}+3501360 \sqrt{-10 x^{2}-x +3}\, x +648919 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-35840 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+143340 \sqrt{-10 x^{2}-x +3}\right)}{1244160 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/1244160*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(-5184000*(-10*x^2-x+3)^(1/2)*x^3-316800*(-10*x^2-x+3)^(1/2)*x^2+648919*10^(1/2)*arcsin(20/11*x+1/11)-35840*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3501360*(-10*x^2-x+3)^(1/2)*x+143340*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2354,1,180,115,0.015000," ","int((-2*x+1)^(3/2)*(5*x+3)^(5/2)/(3*x+2)^2,x)","-\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(86400 \sqrt{-10 x^{2}-x +3}\, x^{3}-22320 \sqrt{-10 x^{2}-x +3}\, x^{2}+129 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-17376 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-42156 \sqrt{-10 x^{2}-x +3}\, x +86 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-11584 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+8760 \sqrt{-10 x^{2}-x +3}\right)}{15552 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)}"," ",0,"-1/15552*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(86400*(-10*x^2-x+3)^(1/2)*x^3+129*10^(1/2)*x*arcsin(20/11*x+1/11)-17376*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-22320*(-10*x^2-x+3)^(1/2)*x^2+86*10^(1/2)*arcsin(20/11*x+1/11)-11584*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-42156*(-10*x^2-x+3)^(1/2)*x+8760*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)","A"
2355,1,225,122,0.013000," ","int((-2*x+1)^(3/2)*(5*x+3)^(5/2)/(3*x+2)^3,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-75600 \sqrt{-10 x^{2}-x +3}\, x^{3}+122535 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-122922 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+91980 \sqrt{-10 x^{2}-x +3}\, x^{2}+163380 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-163896 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+250740 \sqrt{-10 x^{2}-x +3}\, x +54460 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-54632 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+103488 \sqrt{-10 x^{2}-x +3}\right)}{9072 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{2}}"," ",0,"1/9072*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(122535*10^(1/2)*x^2*arcsin(20/11*x+1/11)-122922*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-75600*(-10*x^2-x+3)^(1/2)*x^3+163380*10^(1/2)*x*arcsin(20/11*x+1/11)-163896*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+91980*(-10*x^2-x+3)^(1/2)*x^2+54460*10^(1/2)*arcsin(20/11*x+1/11)-54632*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+250740*(-10*x^2-x+3)^(1/2)*x+103488*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^2","A"
2356,1,270,129,0.013000," ","int((-2*x+1)^(3/2)*(5*x+3)^(5/2)/(3*x+2)^4,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-6085800 \sqrt{10}\, x^{3} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+8821359 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-3175200 \sqrt{-10 x^{2}-x +3}\, x^{3}-12171600 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+17642718 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-12045222 \sqrt{-10 x^{2}-x +3}\, x^{2}-8114400 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+11761812 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-11550924 \sqrt{-10 x^{2}-x +3}\, x -1803200 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+2613736 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-3293472 \sqrt{-10 x^{2}-x +3}\right)}{190512 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{3}}"," ",0,"1/190512*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(8821359*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-6085800*10^(1/2)*x^3*arcsin(20/11*x+1/11)+17642718*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-12171600*10^(1/2)*x^2*arcsin(20/11*x+1/11)-3175200*(-10*x^2-x+3)^(1/2)*x^3+11761812*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-8114400*10^(1/2)*x*arcsin(20/11*x+1/11)-12045222*(-10*x^2-x+3)^(1/2)*x^2+2613736*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-1803200*10^(1/2)*arcsin(20/11*x+1/11)-11550924*(-10*x^2-x+3)^(1/2)*x-3293472*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^3","B"
2357,1,315,136,0.015000," ","int((-2*x+1)^(3/2)*(5*x+3)^(5/2)/(3*x+2)^5,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(177811200 \sqrt{10}\, x^{4} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+155736837 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+474163200 \sqrt{10}\, x^{3} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+415298232 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+558186174 \sqrt{-10 x^{2}-x +3}\, x^{3}+474163200 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+415298232 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+973793520 \sqrt{-10 x^{2}-x +3}\, x^{2}+210739200 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+184576992 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+564235560 \sqrt{-10 x^{2}-x +3}\, x +35123200 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+30762832 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+108517920 \sqrt{-10 x^{2}-x +3}\right)}{10668672 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{4}}"," ",0,"1/10668672*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(155736837*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+177811200*10^(1/2)*arcsin(20/11*x+1/11)*x^4+415298232*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+474163200*10^(1/2)*x^3*arcsin(20/11*x+1/11)+415298232*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+474163200*10^(1/2)*x^2*arcsin(20/11*x+1/11)+558186174*(-10*x^2-x+3)^(1/2)*x^3+184576992*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+210739200*10^(1/2)*x*arcsin(20/11*x+1/11)+973793520*(-10*x^2-x+3)^(1/2)*x^2+30762832*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+35123200*10^(1/2)*arcsin(20/11*x+1/11)+564235560*(-10*x^2-x+3)^(1/2)*x+108517920*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^4","B"
2358,1,298,141,0.014000," ","int((-2*x+1)^(3/2)*(5*x+3)^(5/2)/(3*x+2)^6,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(587030895 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1956769650 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+222586490 \sqrt{-10 x^{2}-x +3}\, x^{4}+2609026200 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+645073100 \sqrt{-10 x^{2}-x +3}\, x^{3}+1739350800 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+670691672 \sqrt{-10 x^{2}-x +3}\, x^{2}+579783600 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+300118448 \sqrt{-10 x^{2}-x +3}\, x +77304480 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+49105728 \sqrt{-10 x^{2}-x +3}\right)}{3073280 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{5}}"," ",0,"1/3073280*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(587030895*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1956769650*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2609026200*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+222586490*(-10*x^2-x+3)^(1/2)*x^4+1739350800*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+645073100*(-10*x^2-x+3)^(1/2)*x^3+579783600*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+670691672*(-10*x^2-x+3)^(1/2)*x^2+77304480*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+300118448*(-10*x^2-x+3)^(1/2)*x+49105728*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^5","B"
2359,1,346,164,0.013000," ","int((-2*x+1)^(3/2)*(5*x+3)^(5/2)/(3*x+2)^7,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(15849834165 \sqrt{7}\, x^{6} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+63399336660 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+6448875230 \sqrt{-10 x^{2}-x +3}\, x^{5}+105665561100 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+21774762520 \sqrt{-10 x^{2}-x +3}\, x^{4}+93924943200 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+29513642144 \sqrt{-10 x^{2}-x +3}\, x^{3}+46962471600 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+19993885632 \sqrt{-10 x^{2}-x +3}\, x^{2}+12523325760 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+6751694880 \sqrt{-10 x^{2}-x +3}\, x +1391480640 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+907611264 \sqrt{-10 x^{2}-x +3}\right)}{12293120 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{6}}"," ",0,"1/12293120*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(15849834165*7^(1/2)*x^6*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+63399336660*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+105665561100*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+6448875230*(-10*x^2-x+3)^(1/2)*x^5+93924943200*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+21774762520*(-10*x^2-x+3)^(1/2)*x^4+46962471600*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+29513642144*(-10*x^2-x+3)^(1/2)*x^3+12523325760*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+19993885632*(-10*x^2-x+3)^(1/2)*x^2+1391480640*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+6751694880*(-10*x^2-x+3)^(1/2)*x+907611264*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^6","B"
2360,1,394,187,0.015000," ","int((-2*x+1)^(3/2)*(5*x+3)^(5/2)/(3*x+2)^8,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(12082856911785 \sqrt{7}\, x^{7} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+56386665588330 \sqrt{7}\, x^{6} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+4927900283670 \sqrt{-10 x^{2}-x +3}\, x^{6}+112773331176660 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+19931139696860 \sqrt{-10 x^{2}-x +3}\, x^{5}+125303701307400 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+33595896368496 \sqrt{-10 x^{2}-x +3}\, x^{4}+83535800871600 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+30215645552512 \sqrt{-10 x^{2}-x +3}\, x^{3}+33414320348640 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+15290511878432 \sqrt{-10 x^{2}-x +3}\, x^{2}+7425404521920 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+4126308877376 \sqrt{-10 x^{2}-x +3}\, x +707181383040 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+463681177344 \sqrt{-10 x^{2}-x +3}\right)}{1204725760 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{7}}"," ",0,"1/1204725760*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(12082856911785*7^(1/2)*x^7*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+56386665588330*7^(1/2)*x^6*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+112773331176660*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+4927900283670*(-10*x^2-x+3)^(1/2)*x^6+125303701307400*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+19931139696860*(-10*x^2-x+3)^(1/2)*x^5+83535800871600*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+33595896368496*(-10*x^2-x+3)^(1/2)*x^4+33414320348640*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+30215645552512*(-10*x^2-x+3)^(1/2)*x^3+7425404521920*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+15290511878432*(-10*x^2-x+3)^(1/2)*x^2+707181383040*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+4126308877376*(-10*x^2-x+3)^(1/2)*x+463681177344*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^7","B"
2361,1,121,95,0.012000," ","int((-2*x+1)^(3/2)*(3*x+2)^3/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-138240000 \sqrt{-10 x^{2}-x +3}\, x^{4}-157248000 \sqrt{-10 x^{2}-x +3}\, x^{3}+59049600 \sqrt{-10 x^{2}-x +3}\, x^{2}+107457200 \sqrt{-10 x^{2}-x +3}\, x +18648399 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-6288820 \sqrt{-10 x^{2}-x +3}\right)}{64000000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/64000000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(-138240000*(-10*x^2-x+3)^(1/2)*x^4-157248000*(-10*x^2-x+3)^(1/2)*x^3+59049600*(-10*x^2-x+3)^(1/2)*x^2+18648399*10^(1/2)*arcsin(20/11*x+1/11)+107457200*(-10*x^2-x+3)^(1/2)*x-6288820*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2362,1,104,88,0.011000," ","int((-2*x+1)^(3/2)*(3*x+2)^2/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-576000 \sqrt{-10 x^{2}-x +3}\, x^{3}-188800 \sqrt{-10 x^{2}-x +3}\, x^{2}+500400 \sqrt{-10 x^{2}-x +3}\, x +109263 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+67660 \sqrt{-10 x^{2}-x +3}\right)}{640000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/640000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(-576000*(-10*x^2-x+3)^(1/2)*x^3-188800*(-10*x^2-x+3)^(1/2)*x^2+109263*10^(1/2)*arcsin(20/11*x+1/11)+500400*(-10*x^2-x+3)^(1/2)*x+67660*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2363,1,87,67,0.009000," ","int((-2*x+1)^(3/2)*(3*x+2)/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-3200 \sqrt{-10 x^{2}-x +3}\, x^{2}+2000 \sqrt{-10 x^{2}-x +3}\, x +1089 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+1780 \sqrt{-10 x^{2}-x +3}\right)}{8000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/8000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(-3200*(-10*x^2-x+3)^(1/2)*x^2+1089*10^(1/2)*arcsin(20/11*x+1/11)+2000*(-10*x^2-x+3)^(1/2)*x+1780*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2364,1,72,51,0.004000," ","int((-2*x+1)^(3/2)/(5*x+3)^(1/2),x)","\frac{363 \sqrt{\left(-2 x +1\right) \left(5 x +3\right)}\, \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)}{2000 \sqrt{5 x +3}\, \sqrt{-2 x +1}}+\frac{\left(-2 x +1\right)^{\frac{3}{2}} \sqrt{5 x +3}}{10}+\frac{33 \sqrt{-2 x +1}\, \sqrt{5 x +3}}{100}"," ",0,"1/10*(-2*x+1)^(3/2)*(5*x+3)^(1/2)+33/100*(-2*x+1)^(1/2)*(5*x+3)^(1/2)+363/2000*((-2*x+1)*(5*x+3))^(1/2)/(5*x+3)^(1/2)/(-2*x+1)^(1/2)*10^(1/2)*arcsin(20/11*x+1/11)","A"
2365,1,83,60,0.013000," ","int((-2*x+1)^(3/2)/(3*x+2)/(5*x+3)^(1/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(103 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-350 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+60 \sqrt{-10 x^{2}-x +3}\right)}{450 \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/450*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(103*10^(1/2)*arcsin(20/11*x+1/11)-350*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+60*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2366,1,131,67,0.014000," ","int((-2*x+1)^(3/2)/(3*x+2)^2/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(12 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+435 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+8 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+290 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+210 \sqrt{-10 x^{2}-x +3}\right)}{90 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)}"," ",0,"1/90*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(12*10^(1/2)*x*arcsin(20/11*x+1/11)+435*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+8*10^(1/2)*arcsin(20/11*x+1/11)+290*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+210*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)","A"
2367,1,154,72,0.014000," ","int((-2*x+1)^(3/2)/(3*x+2)^3/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(3267 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+4356 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1330 \sqrt{-10 x^{2}-x +3}\, x +1452 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+952 \sqrt{-10 x^{2}-x +3}\right)}{56 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{2}}"," ",0,"1/56*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3267*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+4356*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1452*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1330*(-10*x^2-x+3)^(1/2)*x+952*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^2","B"
2368,1,202,95,0.014000," ","int((-2*x+1)^(3/2)/(3*x+2)^4/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(578259 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1156518 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+235858 \sqrt{-10 x^{2}-x +3}\, x^{2}+771012 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+324996 \sqrt{-10 x^{2}-x +3}\, x +171336 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+112448 \sqrt{-10 x^{2}-x +3}\right)}{784 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{3}}"," ",0,"1/784*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(578259*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1156518*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+771012*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+235858*(-10*x^2-x+3)^(1/2)*x^2+171336*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+324996*(-10*x^2-x+3)^(1/2)*x+112448*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^3","B"
2369,1,250,118,0.014000," ","int((-2*x+1)^(3/2)/(3*x+2)^5/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(427196187 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1139189832 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+174249474 \sqrt{-10 x^{2}-x +3}\, x^{3}+1139189832 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+356273680 \sqrt{-10 x^{2}-x +3}\, x^{2}+506306592 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+243114200 \sqrt{-10 x^{2}-x +3}\, x +84384432 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+55387360 \sqrt{-10 x^{2}-x +3}\right)}{43904 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{4}}"," ",0,"1/43904*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(427196187*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1139189832*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1139189832*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+174249474*(-10*x^2-x+3)^(1/2)*x^3+506306592*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+356273680*(-10*x^2-x+3)^(1/2)*x^2+84384432*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+243114200*(-10*x^2-x+3)^(1/2)*x+55387360*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^4","B"
2370,1,298,141,0.015000," ","int((-2*x+1)^(3/2)/(3*x+2)^6/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(404858580885 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1349528602950 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+165138339870 \sqrt{-10 x^{2}-x +3}\, x^{4}+1799371470600 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+447737213700 \sqrt{-10 x^{2}-x +3}\, x^{3}+1199580980400 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+455499158856 \sqrt{-10 x^{2}-x +3}\, x^{2}+399860326800 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+206091285904 \sqrt{-10 x^{2}-x +3}\, x +53314710240 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+34994513344 \sqrt{-10 x^{2}-x +3}\right)}{3073280 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{5}}"," ",0,"1/3073280*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(404858580885*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1349528602950*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1799371470600*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+165138339870*(-10*x^2-x+3)^(1/2)*x^4+1199580980400*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+447737213700*(-10*x^2-x+3)^(1/2)*x^3+399860326800*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+455499158856*(-10*x^2-x+3)^(1/2)*x^2+53314710240*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+206091285904*(-10*x^2-x+3)^(1/2)*x+34994513344*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^5","B"
2371,1,133,102,0.014000," ","int((-2*x+1)^(3/2)*(3*x+2)^3/(5*x+3)^(3/2),x)","\frac{\left(-8640000 \sqrt{-10 x^{2}-x +3}\, x^{4}-8784000 \sqrt{-10 x^{2}-x +3}\, x^{3}+5749200 \sqrt{-10 x^{2}-x +3}\, x^{2}+1953105 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+6342500 \sqrt{-10 x^{2}-x +3}\, x +1171863 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+935660 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{3200000 \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"1/3200000*(-8640000*(-10*x^2-x+3)^(1/2)*x^4-8784000*(-10*x^2-x+3)^(1/2)*x^3+1953105*10^(1/2)*x*arcsin(20/11*x+1/11)+5749200*(-10*x^2-x+3)^(1/2)*x^2+1171863*10^(1/2)*arcsin(20/11*x+1/11)+6342500*(-10*x^2-x+3)^(1/2)*x+935660*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","A"
2372,1,116,83,0.013000," ","int((-2*x+1)^(3/2)*(3*x+2)^2/(5*x+3)^(3/2),x)","\frac{\left(-48000 \sqrt{-10 x^{2}-x +3}\, x^{3}-3600 \sqrt{-10 x^{2}-x +3}\, x^{2}+19635 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+51500 \sqrt{-10 x^{2}-x +3}\, x +11781 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+20420 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{40000 \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"1/40000*(-48000*(-10*x^2-x+3)^(1/2)*x^3+19635*10^(1/2)*x*arcsin(20/11*x+1/11)-3600*(-10*x^2-x+3)^(1/2)*x^2+11781*10^(1/2)*arcsin(20/11*x+1/11)+51500*(-10*x^2-x+3)^(1/2)*x+20420*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","A"
2373,1,99,67,0.013000," ","int((-2*x+1)^(3/2)*(3*x+2)/(5*x+3)^(3/2),x)","\frac{\left(-240 \sqrt{-10 x^{2}-x +3}\, x^{2}+165 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+340 \sqrt{-10 x^{2}-x +3}\, x +99 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+220 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{400 \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"1/400*(165*10^(1/2)*x*arcsin(20/11*x+1/11)-240*(-10*x^2-x+3)^(1/2)*x^2+99*10^(1/2)*arcsin(20/11*x+1/11)+340*(-10*x^2-x+3)^(1/2)*x+220*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","A"
2374,0,0,51,0.200000," ","int((-2*x+1)^(3/2)/(5*x+3)^(3/2),x)","\int \frac{\left(-2 x +1\right)^{\frac{3}{2}}}{\left(5 x +3\right)^{\frac{3}{2}}}\, dx"," ",0,"int((-2*x+1)^(3/2)/(5*x+3)^(3/2),x)","F"
2375,1,124,60,0.015000," ","int((-2*x+1)^(3/2)/(3*x+2)/(5*x+3)^(3/2),x)","\frac{\left(10 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-875 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+6 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-525 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-330 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{75 \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"1/75*(10*10^(1/2)*x*arcsin(20/11*x+1/11)-875*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+6*10^(1/2)*arcsin(20/11*x+1/11)-525*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-330*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2376,1,154,64,0.015000," ","int((-2*x+1)^(3/2)/(3*x+2)^2/(5*x+3)^(3/2),x)","-\frac{\left(495 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+627 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+202 \sqrt{-10 x^{2}-x +3}\, x +198 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+130 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{2 \left(3 x +2\right) \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/2*(495*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+627*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+198*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+202*(-10*x^2-x+3)^(1/2)*x+130*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2377,1,202,88,0.016000," ","int((-2*x+1)^(3/2)/(3*x+2)^3/(5*x+3)^(3/2),x)","-\frac{\left(256905 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+496683 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+104790 \sqrt{-10 x^{2}-x +3}\, x^{2}+319704 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+137410 \sqrt{-10 x^{2}-x +3}\, x +68508 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+44968 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{56 \left(3 x +2\right)^{2} \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/56*(256905*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+496683*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+319704*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+104790*(-10*x^2-x+3)^(1/2)*x^2+68508*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+137410*(-10*x^2-x+3)^(1/2)*x+44968*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)^2/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2378,1,250,111,0.015000," ","int((-2*x+1)^(3/2)/(3*x+2)^4/(5*x+3)^(3/2),x)","-\frac{\left(62623935 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+162822231 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+25543770 \sqrt{-10 x^{2}-x +3}\, x^{3}+158647302 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+50524362 \sqrt{-10 x^{2}-x +3}\, x^{2}+68654388 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+33292364 \sqrt{-10 x^{2}-x +3}\, x +11133144 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+7307552 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{784 \left(3 x +2\right)^{3} \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/784*(62623935*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+162822231*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+158647302*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+25543770*(-10*x^2-x+3)^(1/2)*x^3+68654388*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+50524362*(-10*x^2-x+3)^(1/2)*x^2+11133144*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+33292364*(-10*x^2-x+3)^(1/2)*x+7307552*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)^3/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2379,1,298,134,0.016000," ","int((-2*x+1)^(3/2)/(3*x+2)^5/(5*x+3)^(3/2),x)","-\frac{\left(59012048205 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+192772690803 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+24070508910 \sqrt{-10 x^{2}-x +3}\, x^{4}+251784739008 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+63657325746 \sqrt{-10 x^{2}-x +3}\, x^{3}+164359482408 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+63112404600 \sqrt{-10 x^{2}-x +3}\, x^{2}+53620824048 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+27800905720 \sqrt{-10 x^{2}-x +3}\, x +6994020528 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+4590715360 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{43904 \left(3 x +2\right)^{4} \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/43904*(59012048205*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+192772690803*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+251784739008*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+24070508910*(-10*x^2-x+3)^(1/2)*x^4+164359482408*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+63657325746*(-10*x^2-x+3)^(1/2)*x^3+53620824048*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+63112404600*(-10*x^2-x+3)^(1/2)*x^2+6994020528*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+27800905720*(-10*x^2-x+3)^(1/2)*x+4590715360*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)^4/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2380,1,147,109,0.014000," ","int((-2*x+1)^(3/2)*(3*x+2)^3/(5*x+3)^(5/2),x)","\frac{\left(-2160000 \sqrt{-10 x^{2}-x +3}\, x^{4}-1674000 \sqrt{-10 x^{2}-x +3}\, x^{3}+986475 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+2367900 \sqrt{-10 x^{2}-x +3}\, x^{2}+1183770 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+2598200 \sqrt{-10 x^{2}-x +3}\, x +355131 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+623420 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{600000 \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/600000*(-2160000*(-10*x^2-x+3)^(1/2)*x^4+986475*10^(1/2)*x^2*arcsin(20/11*x+1/11)-1674000*(-10*x^2-x+3)^(1/2)*x^3+1183770*10^(1/2)*x*arcsin(20/11*x+1/11)+2367900*(-10*x^2-x+3)^(1/2)*x^2+355131*10^(1/2)*arcsin(20/11*x+1/11)+2598200*(-10*x^2-x+3)^(1/2)*x+623420*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","A"
2381,1,130,83,0.014000," ","int((-2*x+1)^(3/2)*(3*x+2)^2/(5*x+3)^(5/2),x)","\frac{\left(-54000 \sqrt{-10 x^{2}-x +3}\, x^{3}+25725 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+36900 \sqrt{-10 x^{2}-x +3}\, x^{2}+30870 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+72200 \sqrt{-10 x^{2}-x +3}\, x +9261 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+18020 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{30000 \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/30000*(25725*10^(1/2)*x^2*arcsin(20/11*x+1/11)-54000*(-10*x^2-x+3)^(1/2)*x^3+30870*10^(1/2)*x*arcsin(20/11*x+1/11)+36900*(-10*x^2-x+3)^(1/2)*x^2+9261*10^(1/2)*arcsin(20/11*x+1/11)+72200*(-10*x^2-x+3)^(1/2)*x+18020*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","A"
2382,1,113,67,0.011000," ","int((-2*x+1)^(3/2)*(3*x+2)/(5*x+3)^(5/2),x)","-\frac{\left(1425 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+900 \sqrt{-10 x^{2}-x +3}\, x^{2}+1710 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+2900 \sqrt{-10 x^{2}-x +3}\, x +513 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+1460 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{750 \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"-1/750*(1425*10^(1/2)*x^2*arcsin(20/11*x+1/11)+1710*10^(1/2)*x*arcsin(20/11*x+1/11)+900*(-10*x^2-x+3)^(1/2)*x^2+513*10^(1/2)*arcsin(20/11*x+1/11)+2900*(-10*x^2-x+3)^(1/2)*x+1460*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","A"
2383,0,0,51,0.200000," ","int((-2*x+1)^(3/2)/(5*x+3)^(5/2),x)","\int \frac{\left(-2 x +1\right)^{\frac{3}{2}}}{\left(5 x +3\right)^{\frac{5}{2}}}\, dx"," ",0,"int((-2*x+1)^(3/2)/(5*x+3)^(5/2),x)","F"
2384,1,147,58,0.014000," ","int((-2*x+1)^(3/2)/(3*x+2)/(5*x+3)^(5/2),x)","\frac{\left(525 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+630 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+214 \sqrt{-10 x^{2}-x +3}\, x +189 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+124 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{3 \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/3*(525*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+630*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+189*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+214*(-10*x^2-x+3)^(1/2)*x+124*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","B"
2385,1,202,81,0.016000," ","int((-2*x+1)^(3/2)/(3*x+2)^2/(5*x+3)^(5/2),x)","\frac{\left(38025 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+70980 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+15510 \sqrt{-10 x^{2}-x +3}\, x^{2}+44109 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+19304 \sqrt{-10 x^{2}-x +3}\, x +9126 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+5990 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{6 \left(3 x +2\right) \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/6*(38025*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+70980*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+44109*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+15510*(-10*x^2-x+3)^(1/2)*x^2+9126*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+19304*(-10*x^2-x+3)^(1/2)*x+5990*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","B"
2386,1,250,104,0.016000," ","int((-2*x+1)^(3/2)/(3*x+2)^3/(5*x+3)^(5/2),x)","\frac{\left(27531225 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+69745770 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+11229750 \sqrt{-10 x^{2}-x +3}\, x^{3}+66197301 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+21463260 \sqrt{-10 x^{2}-x +3}\, x^{2}+27898308 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+13654550 \sqrt{-10 x^{2}-x +3}\, x +4404996 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2891336 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{168 \left(3 x +2\right)^{2} \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/168*(27531225*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+69745770*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+66197301*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+11229750*(-10*x^2-x+3)^(1/2)*x^3+27898308*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+21463260*(-10*x^2-x+3)^(1/2)*x^2+4404996*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+13654550*(-10*x^2-x+3)^(1/2)*x+2891336*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)^2/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","B"
2387,1,298,127,0.017000," ","int((-2*x+1)^(3/2)/(3*x+2)^4/(5*x+3)^(5/2),x)","\frac{\left(8599634325 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+27518829840 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3507717150 \sqrt{-10 x^{2}-x +3}\, x^{4}+35201169837 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+9042727680 \sqrt{-10 x^{2}-x +3}\, x^{3}+22499191434 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+8734626054 \sqrt{-10 x^{2}-x +3}\, x^{2}+7185472236 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3746551228 \sqrt{-10 x^{2}-x +3}\, x +917294328 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+602090944 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{2352 \left(3 x +2\right)^{3} \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/2352*(8599634325*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+27518829840*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+35201169837*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3507717150*(-10*x^2-x+3)^(1/2)*x^4+22499191434*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+9042727680*(-10*x^2-x+3)^(1/2)*x^3+7185472236*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+8734626054*(-10*x^2-x+3)^(1/2)*x^2+917294328*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3746551228*(-10*x^2-x+3)^(1/2)*x+602090944*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)^3/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","B"
2388,1,155,127,0.010000," ","int((-2*x+1)^(5/2)*(3*x+2)^3*(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(1658880000000 \sqrt{-10 x^{2}-x +3}\, x^{6}+1949184000000 \sqrt{-10 x^{2}-x +3}\, x^{5}-1049379840000 \sqrt{-10 x^{2}-x +3}\, x^{4}-1701912768000 \sqrt{-10 x^{2}-x +3}\, x^{3}+198132553600 \sqrt{-10 x^{2}-x +3}\, x^{2}+596380685200 \sqrt{-10 x^{2}-x +3}\, x +78454515909 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-13585570620 \sqrt{-10 x^{2}-x +3}\right)}{107520000000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/107520000000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(1658880000000*(-10*x^2-x+3)^(1/2)*x^6+1949184000000*(-10*x^2-x+3)^(1/2)*x^5-1049379840000*(-10*x^2-x+3)^(1/2)*x^4-1701912768000*(-10*x^2-x+3)^(1/2)*x^3+198132553600*(-10*x^2-x+3)^(1/2)*x^2+78454515909*10^(1/2)*arcsin(20/11*x+1/11)+596380685200*(-10*x^2-x+3)^(1/2)*x-13585570620*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2389,1,138,120,0.010000," ","int((-2*x+1)^(5/2)*(3*x+2)^2*(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(4608000000 \sqrt{-10 x^{2}-x +3}\, x^{5}+1889280000 \sqrt{-10 x^{2}-x +3}\, x^{4}-4743744000 \sqrt{-10 x^{2}-x +3}\, x^{3}-1225251200 \sqrt{-10 x^{2}-x +3}\, x^{2}+2050471600 \sqrt{-10 x^{2}-x +3}\, x +315762447 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+186078540 \sqrt{-10 x^{2}-x +3}\right)}{768000000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/768000000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(4608000000*(-10*x^2-x+3)^(1/2)*x^5+1889280000*(-10*x^2-x+3)^(1/2)*x^4-4743744000*(-10*x^2-x+3)^(1/2)*x^3-1225251200*(-10*x^2-x+3)^(1/2)*x^2+315762447*10^(1/2)*arcsin(20/11*x+1/11)+2050471600*(-10*x^2-x+3)^(1/2)*x+186078540*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2390,1,121,99,0.008000," ","int((-2*x+1)^(5/2)*(3*x+2)*(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(46080000 \sqrt{-10 x^{2}-x +3}\, x^{4}-18624000 \sqrt{-10 x^{2}-x +3}\, x^{3}-36995200 \sqrt{-10 x^{2}-x +3}\, x^{2}+22163600 \sqrt{-10 x^{2}-x +3}\, x +5226837 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+7118340 \sqrt{-10 x^{2}-x +3}\right)}{19200000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/19200000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(46080000*(-10*x^2-x+3)^(1/2)*x^4-18624000*(-10*x^2-x+3)^(1/2)*x^3-36995200*(-10*x^2-x+3)^(1/2)*x^2+5226837*10^(1/2)*arcsin(20/11*x+1/11)+22163600*(-10*x^2-x+3)^(1/2)*x+7118340*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2391,1,104,83,0.004000," ","int((-2*x+1)^(5/2)*(5*x+3)^(1/2),x)","\frac{14641 \sqrt{\left(-2 x +1\right) \left(5 x +3\right)}\, \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)}{64000 \sqrt{5 x +3}\, \sqrt{-2 x +1}}+\frac{\left(-2 x +1\right)^{\frac{5}{2}} \left(5 x +3\right)^{\frac{3}{2}}}{20}+\frac{11 \left(-2 x +1\right)^{\frac{3}{2}} \left(5 x +3\right)^{\frac{3}{2}}}{120}+\frac{121 \left(5 x +3\right)^{\frac{3}{2}} \sqrt{-2 x +1}}{800}-\frac{1331 \sqrt{-2 x +1}\, \sqrt{5 x +3}}{3200}"," ",0,"1/20*(-2*x+1)^(5/2)*(5*x+3)^(3/2)+11/120*(-2*x+1)^(3/2)*(5*x+3)^(3/2)+121/800*(5*x+3)^(3/2)*(-2*x+1)^(1/2)-1331/3200*(-2*x+1)^(1/2)*(5*x+3)^(1/2)+14641/64000*((-2*x+1)*(5*x+3))^(1/2)/(5*x+3)^(1/2)/(-2*x+1)^(1/2)*10^(1/2)*arcsin(20/11*x+1/11)","A"
2392,1,115,92,0.010000," ","int((-2*x+1)^(5/2)*(5*x+3)^(1/2)/(3*x+2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-144000 \sqrt{-10 x^{2}-x +3}\, x^{2}+356400 \sqrt{-10 x^{2}-x +3}\, x -250433 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+196000 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-526260 \sqrt{-10 x^{2}-x +3}\right)}{324000 \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/324000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(-144000*(-10*x^2-x+3)^(1/2)*x^2+196000*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-250433*10^(1/2)*arcsin(20/11*x+1/11)+356400*(-10*x^2-x+3)^(1/2)*x-526260*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2393,1,163,99,0.013000," ","int((-2*x+1)^(5/2)*(5*x+3)^(1/2)/(3*x+2)^2,x)","-\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-1200 \sqrt{-10 x^{2}-x +3}\, x^{2}+6357 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-10500 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+4740 \sqrt{-10 x^{2}-x +3}\, x +4238 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-7000 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+6960 \sqrt{-10 x^{2}-x +3}\right)}{1800 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)}"," ",0,"-1/1800*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(6357*10^(1/2)*x*arcsin(20/11*x+1/11)-10500*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-1200*(-10*x^2-x+3)^(1/2)*x^2+4238*10^(1/2)*arcsin(20/11*x+1/11)-7000*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+4740*(-10*x^2-x+3)^(1/2)*x+6960*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)","A"
2394,1,208,106,0.014000," ","int((-2*x+1)^(5/2)*(5*x+3)^(1/2)/(3*x+2)^3,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(4248 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+6975 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1440 \sqrt{-10 x^{2}-x +3}\, x^{2}+5664 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+9300 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+13050 \sqrt{-10 x^{2}-x +3}\, x +1888 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+3100 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+7080 \sqrt{-10 x^{2}-x +3}\right)}{1080 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{2}}"," ",0,"1/1080*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(4248*10^(1/2)*x^2*arcsin(20/11*x+1/11)+6975*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+5664*10^(1/2)*x*arcsin(20/11*x+1/11)+9300*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1440*(-10*x^2-x+3)^(1/2)*x^2+1888*10^(1/2)*arcsin(20/11*x+1/11)+3100*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+13050*(-10*x^2-x+3)^(1/2)*x+7080*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^2","A"
2395,1,253,113,0.013000," ","int((-2*x+1)^(5/2)*(5*x+3)^(1/2)/(3*x+2)^4,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-12096 \sqrt{10}\, x^{3} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+884655 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-24192 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+1769310 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+322938 \sqrt{-10 x^{2}-x +3}\, x^{2}-16128 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+1179540 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+466452 \sqrt{-10 x^{2}-x +3}\, x -3584 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+262120 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+161952 \sqrt{-10 x^{2}-x +3}\right)}{9072 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{3}}"," ",0,"1/9072*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(884655*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-12096*10^(1/2)*x^3*arcsin(20/11*x+1/11)+1769310*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-24192*10^(1/2)*x^2*arcsin(20/11*x+1/11)+1179540*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-16128*10^(1/2)*x*arcsin(20/11*x+1/11)+322938*(-10*x^2-x+3)^(1/2)*x^2+262120*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-3584*10^(1/2)*arcsin(20/11*x+1/11)+466452*(-10*x^2-x+3)^(1/2)*x+161952*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^3","B"
2396,1,250,118,0.012000," ","int((-2*x+1)^(5/2)*(5*x+3)^(1/2)/(3*x+2)^5,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(17788815 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+47436840 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+7262010 \sqrt{-10 x^{2}-x +3}\, x^{3}+47436840 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+14826448 \sqrt{-10 x^{2}-x +3}\, x^{2}+21083040 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+10127992 \sqrt{-10 x^{2}-x +3}\, x +3513840 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2305632 \sqrt{-10 x^{2}-x +3}\right)}{18816 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{4}}"," ",0,"1/18816*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(17788815*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+47436840*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+47436840*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+7262010*(-10*x^2-x+3)^(1/2)*x^3+21083040*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+14826448*(-10*x^2-x+3)^(1/2)*x^2+3513840*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+10127992*(-10*x^2-x+3)^(1/2)*x+2305632*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^4","B"
2397,1,298,141,0.013000," ","int((-2*x+1)^(5/2)*(5*x+3)^(1/2)/(3*x+2)^6,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(13394977695 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+44649925650 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+5463777690 \sqrt{-10 x^{2}-x +3}\, x^{4}+59533234200 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+14813908620 \sqrt{-10 x^{2}-x +3}\, x^{3}+39688822800 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+15069932248 \sqrt{-10 x^{2}-x +3}\, x^{2}+13229607600 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+6818925232 \sqrt{-10 x^{2}-x +3}\, x +1763947680 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1157765952 \sqrt{-10 x^{2}-x +3}\right)}{1317120 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{5}}"," ",0,"1/1317120*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(13394977695*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+44649925650*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+59533234200*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+5463777690*(-10*x^2-x+3)^(1/2)*x^4+39688822800*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+14813908620*(-10*x^2-x+3)^(1/2)*x^3+13229607600*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+15069932248*(-10*x^2-x+3)^(1/2)*x^2+1763947680*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+6818925232*(-10*x^2-x+3)^(1/2)*x+1157765952*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^5","B"
2398,1,346,164,0.013000," ","int((-2*x+1)^(5/2)*(5*x+3)^(1/2)/(3*x+2)^7,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(855730945575 \sqrt{7}\, x^{6} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3422923782300 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+349045461450 \sqrt{-10 x^{2}-x +3}\, x^{5}+5704872970500 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1179059018760 \sqrt{-10 x^{2}-x +3}\, x^{4}+5070998196000 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1593676317408 \sqrt{-10 x^{2}-x +3}\, x^{3}+2535499098000 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1077448409408 \sqrt{-10 x^{2}-x +3}\, x^{2}+676133092800 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+364371273056 \sqrt{-10 x^{2}-x +3}\, x +75125899200 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+49310669184 \sqrt{-10 x^{2}-x +3}\right)}{7375872 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{6}}"," ",0,"1/7375872*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(855730945575*7^(1/2)*x^6*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3422923782300*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+5704872970500*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+349045461450*(-10*x^2-x+3)^(1/2)*x^5+5070998196000*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1179059018760*(-10*x^2-x+3)^(1/2)*x^4+2535499098000*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1593676317408*(-10*x^2-x+3)^(1/2)*x^3+676133092800*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1077448409408*(-10*x^2-x+3)^(1/2)*x^2+75125899200*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+364371273056*(-10*x^2-x+3)^(1/2)*x+49310669184*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^6","B"
2399,1,172,143,0.010000," ","int((-2*x+1)^(5/2)*(3*x+2)^3*(5*x+3)^(3/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(77414400000000 \sqrt{-10 x^{2}-x +3}\, x^{7}+142110720000000 \sqrt{-10 x^{2}-x +3}\, x^{6}+16172544000000 \sqrt{-10 x^{2}-x +3}\, x^{5}-105287357440000 \sqrt{-10 x^{2}-x +3}\, x^{4}-46946532288000 \sqrt{-10 x^{2}-x +3}\, x^{3}+26096488457600 \sqrt{-10 x^{2}-x +3}\, x^{2}+18849375413200 \sqrt{-10 x^{2}-x +3}\, x +2487306914169 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-2308329237420 \sqrt{-10 x^{2}-x +3}\right)}{1146880000000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/1146880000000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(77414400000000*(-10*x^2-x+3)^(1/2)*x^7+142110720000000*(-10*x^2-x+3)^(1/2)*x^6+16172544000000*(-10*x^2-x+3)^(1/2)*x^5-105287357440000*(-10*x^2-x+3)^(1/2)*x^4-46946532288000*(-10*x^2-x+3)^(1/2)*x^3+26096488457600*(-10*x^2-x+3)^(1/2)*x^2+2487306914169*10^(1/2)*arcsin(20/11*x+1/11)+18849375413200*(-10*x^2-x+3)^(1/2)*x-2308329237420*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2400,1,155,136,0.009000," ","int((-2*x+1)^(5/2)*(3*x+2)^2*(5*x+3)^(3/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(184320000000 \sqrt{-10 x^{2}-x +3}\, x^{6}+202240000000 \sqrt{-10 x^{2}-x +3}\, x^{5}-122475520000 \sqrt{-10 x^{2}-x +3}\, x^{4}-174343104000 \sqrt{-10 x^{2}-x +3}\, x^{3}+25826620800 \sqrt{-10 x^{2}-x +3}\, x^{2}+59885275600 \sqrt{-10 x^{2}-x +3}\, x +7734796377 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-2088418860 \sqrt{-10 x^{2}-x +3}\right)}{7168000000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/7168000000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(184320000000*(-10*x^2-x+3)^(1/2)*x^6+202240000000*(-10*x^2-x+3)^(1/2)*x^5-122475520000*(-10*x^2-x+3)^(1/2)*x^4-174343104000*(-10*x^2-x+3)^(1/2)*x^3+25826620800*(-10*x^2-x+3)^(1/2)*x^2+7734796377*10^(1/2)*arcsin(20/11*x+1/11)+59885275600*(-10*x^2-x+3)^(1/2)*x-2088418860*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2401,1,138,115,0.008000," ","int((-2*x+1)^(5/2)*(3*x+2)*(5*x+3)^(3/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(512000000 \sqrt{-10 x^{2}-x +3}\, x^{5}+168960000 \sqrt{-10 x^{2}-x +3}\, x^{4}-510528000 \sqrt{-10 x^{2}-x +3}\, x^{3}-103254400 \sqrt{-10 x^{2}-x +3}\, x^{2}+208129200 \sqrt{-10 x^{2}-x +3}\, x +30438639 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+14347980 \sqrt{-10 x^{2}-x +3}\right)}{51200000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/51200000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(512000000*(-10*x^2-x+3)^(1/2)*x^5+168960000*(-10*x^2-x+3)^(1/2)*x^4-510528000*(-10*x^2-x+3)^(1/2)*x^3-103254400*(-10*x^2-x+3)^(1/2)*x^2+30438639*10^(1/2)*arcsin(20/11*x+1/11)+208129200*(-10*x^2-x+3)^(1/2)*x+14347980*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2402,1,120,99,0.005000," ","int((-2*x+1)^(5/2)*(5*x+3)^(3/2),x)","\frac{483153 \sqrt{\left(-2 x +1\right) \left(5 x +3\right)}\, \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)}{1280000 \sqrt{5 x +3}\, \sqrt{-2 x +1}}+\frac{\left(-2 x +1\right)^{\frac{5}{2}} \left(5 x +3\right)^{\frac{5}{2}}}{25}+\frac{11 \left(-2 x +1\right)^{\frac{3}{2}} \left(5 x +3\right)^{\frac{5}{2}}}{200}+\frac{121 \left(5 x +3\right)^{\frac{5}{2}} \sqrt{-2 x +1}}{2000}-\frac{1331 \left(5 x +3\right)^{\frac{3}{2}} \sqrt{-2 x +1}}{16000}-\frac{43923 \sqrt{-2 x +1}\, \sqrt{5 x +3}}{64000}"," ",0,"1/25*(-2*x+1)^(5/2)*(5*x+3)^(5/2)+11/200*(-2*x+1)^(3/2)*(5*x+3)^(5/2)+121/2000*(5*x+3)^(5/2)*(-2*x+1)^(1/2)-1331/16000*(5*x+3)^(3/2)*(-2*x+1)^(1/2)-43923/64000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)+483153/1280000*((-2*x+1)*(5*x+3))^(1/2)/(5*x+3)^(1/2)/(-2*x+1)^(1/2)*10^(1/2)*arcsin(20/11*x+1/11)","A"
2403,1,132,108,0.012000," ","int((-2*x+1)^(5/2)*(5*x+3)^(3/2)/(3*x+2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(25920000 \sqrt{-10 x^{2}-x +3}\, x^{3}-36432000 \sqrt{-10 x^{2}-x +3}\, x^{2}+13856400 \sqrt{-10 x^{2}-x +3}\, x +1922677 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+3136000 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3575940 \sqrt{-10 x^{2}-x +3}\right)}{15552000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/15552000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(25920000*(-10*x^2-x+3)^(1/2)*x^3-36432000*(-10*x^2-x+3)^(1/2)*x^2+1922677*10^(1/2)*arcsin(20/11*x+1/11)+3136000*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+13856400*(-10*x^2-x+3)^(1/2)*x+3575940*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2404,1,180,115,0.013000," ","int((-2*x+1)^(5/2)*(5*x+3)^(3/2)/(3*x+2)^2,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(432000 \sqrt{-10 x^{2}-x +3}\, x^{3}-824400 \sqrt{-10 x^{2}-x +3}\, x^{2}+980151 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-966000 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1036620 \sqrt{-10 x^{2}-x +3}\, x +653434 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-644000 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1303080 \sqrt{-10 x^{2}-x +3}\right)}{194400 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)}"," ",0,"1/194400*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(432000*(-10*x^2-x+3)^(1/2)*x^3+980151*10^(1/2)*x*arcsin(20/11*x+1/11)-966000*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-824400*(-10*x^2-x+3)^(1/2)*x^2+653434*10^(1/2)*arcsin(20/11*x+1/11)-644000*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1036620*(-10*x^2-x+3)^(1/2)*x+1303080*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)","A"
2405,1,225,122,0.013000," ","int((-2*x+1)^(5/2)*(5*x+3)^(3/2)/(3*x+2)^3,x)","-\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-10800 \sqrt{-10 x^{2}-x +3}\, x^{3}+61461 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-87525 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+36900 \sqrt{-10 x^{2}-x +3}\, x^{2}+81948 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-116700 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+104130 \sqrt{-10 x^{2}-x +3}\, x +27316 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-38900 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+48840 \sqrt{-10 x^{2}-x +3}\right)}{3240 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{2}}"," ",0,"-1/3240*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(61461*10^(1/2)*x^2*arcsin(20/11*x+1/11)-87525*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-10800*(-10*x^2-x+3)^(1/2)*x^3+81948*10^(1/2)*x*arcsin(20/11*x+1/11)-116700*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+36900*(-10*x^2-x+3)^(1/2)*x^2+27316*10^(1/2)*arcsin(20/11*x+1/11)-38900*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+104130*(-10*x^2-x+3)^(1/2)*x+48840*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^2","A"
2406,1,270,129,0.013000," ","int((-2*x+1)^(5/2)*(5*x+3)^(3/2)/(3*x+2)^4,x)","-\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-547344 \sqrt{10}\, x^{3} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+5805 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-181440 \sqrt{-10 x^{2}-x +3}\, x^{3}-1094688 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+11610 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-1442322 \sqrt{-10 x^{2}-x +3}\, x^{2}-729792 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+7740 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-1521828 \sqrt{-10 x^{2}-x +3}\, x -162176 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+1720 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-432768 \sqrt{-10 x^{2}-x +3}\right)}{27216 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{3}}"," ",0,"-1/27216*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(5805*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-547344*10^(1/2)*x^3*arcsin(20/11*x+1/11)+11610*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-1094688*10^(1/2)*x^2*arcsin(20/11*x+1/11)-181440*(-10*x^2-x+3)^(1/2)*x^3+7740*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-729792*10^(1/2)*x*arcsin(20/11*x+1/11)-1442322*(-10*x^2-x+3)^(1/2)*x^2+1720*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-162176*10^(1/2)*arcsin(20/11*x+1/11)-1521828*(-10*x^2-x+3)^(1/2)*x-432768*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^3","B"
2407,1,315,136,0.014000," ","int((-2*x+1)^(5/2)*(5*x+3)^(3/2)/(3*x+2)^5,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-10160640 \sqrt{10}\, x^{4} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+262812195 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-27095040 \sqrt{10}\, x^{3} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+700832520 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+75193650 \sqrt{-10 x^{2}-x +3}\, x^{3}-27095040 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+700832520 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+172350864 \sqrt{-10 x^{2}-x +3}\, x^{2}-12042240 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+311481120 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+123797016 \sqrt{-10 x^{2}-x +3}\, x -2007040 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+51913520 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+28441056 \sqrt{-10 x^{2}-x +3}\right)}{1524096 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{4}}"," ",0,"1/1524096*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(262812195*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-10160640*10^(1/2)*x^4*arcsin(20/11*x+1/11)+700832520*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-27095040*10^(1/2)*x^3*arcsin(20/11*x+1/11)+700832520*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-27095040*10^(1/2)*x^2*arcsin(20/11*x+1/11)+75193650*(-10*x^2-x+3)^(1/2)*x^3+311481120*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-12042240*10^(1/2)*x*arcsin(20/11*x+1/11)+172350864*(-10*x^2-x+3)^(1/2)*x^2+51913520*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-2007040*10^(1/2)*arcsin(20/11*x+1/11)+123797016*(-10*x^2-x+3)^(1/2)*x+28441056*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^4","B"
2408,1,298,141,0.013000," ","int((-2*x+1)^(5/2)*(5*x+3)^(3/2)/(3*x+2)^6,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(587030895 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1956769650 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+240148090 \sqrt{-10 x^{2}-x +3}\, x^{4}+2609026200 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+648585420 \sqrt{-10 x^{2}-x +3}\, x^{3}+1739350800 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+660330328 \sqrt{-10 x^{2}-x +3}\, x^{2}+579783600 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+299064752 \sqrt{-10 x^{2}-x +3}\, x +77304480 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+50686272 \sqrt{-10 x^{2}-x +3}\right)}{439040 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{5}}"," ",0,"1/439040*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(587030895*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1956769650*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2609026200*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+240148090*(-10*x^2-x+3)^(1/2)*x^4+1739350800*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+648585420*(-10*x^2-x+3)^(1/2)*x^3+579783600*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+660330328*(-10*x^2-x+3)^(1/2)*x^2+77304480*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+299064752*(-10*x^2-x+3)^(1/2)*x+50686272*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^5","B"
2409,1,346,164,0.014000," ","int((-2*x+1)^(5/2)*(5*x+3)^(3/2)/(3*x+2)^7,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(29938575645 \sqrt{7}\, x^{6} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+119754302580 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+12212429390 \sqrt{-10 x^{2}-x +3}\, x^{5}+199590504300 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+41253428440 \sqrt{-10 x^{2}-x +3}\, x^{4}+177413781600 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+55752986016 \sqrt{-10 x^{2}-x +3}\, x^{3}+88706890800 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+37695279552 \sqrt{-10 x^{2}-x +3}\, x^{2}+23655170880 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+12748986656 \sqrt{-10 x^{2}-x +3}\, x +2628352320 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1724913792 \sqrt{-10 x^{2}-x +3}\right)}{2458624 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{6}}"," ",0,"1/2458624*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(29938575645*7^(1/2)*x^6*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+119754302580*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+199590504300*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+12212429390*(-10*x^2-x+3)^(1/2)*x^5+177413781600*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+41253428440*(-10*x^2-x+3)^(1/2)*x^4+88706890800*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+55752986016*(-10*x^2-x+3)^(1/2)*x^3+23655170880*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+37695279552*(-10*x^2-x+3)^(1/2)*x^2+2628352320*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+12748986656*(-10*x^2-x+3)^(1/2)*x+1724913792*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^6","B"
2410,1,394,187,0.013000," ","int((-2*x+1)^(5/2)*(5*x+3)^(3/2)/(3*x+2)^8,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(4136806717065 \sqrt{7}\, x^{7} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+19305098012970 \sqrt{7}\, x^{6} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1687371219030 \sqrt{-10 x^{2}-x +3}\, x^{6}+38610196025940 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+6824775560540 \sqrt{-10 x^{2}-x +3}\, x^{5}+42900217806600 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+11504134299504 \sqrt{-10 x^{2}-x +3}\, x^{4}+28600145204400 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+10344747708288 \sqrt{-10 x^{2}-x +3}\, x^{3}+11440058081760 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+5233883952416 \sqrt{-10 x^{2}-x +3}\, x^{2}+2542235129280 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1412695104576 \sqrt{-10 x^{2}-x +3}\, x +242117631360 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+158916941568 \sqrt{-10 x^{2}-x +3}\right)}{34420736 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{7}}"," ",0,"1/34420736*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(4136806717065*7^(1/2)*x^7*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+19305098012970*7^(1/2)*x^6*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+38610196025940*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1687371219030*(-10*x^2-x+3)^(1/2)*x^6+42900217806600*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+6824775560540*(-10*x^2-x+3)^(1/2)*x^5+28600145204400*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+11504134299504*(-10*x^2-x+3)^(1/2)*x^4+11440058081760*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+10344747708288*(-10*x^2-x+3)^(1/2)*x^3+2542235129280*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+5233883952416*(-10*x^2-x+3)^(1/2)*x^2+242117631360*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1412695104576*(-10*x^2-x+3)^(1/2)*x+158916941568*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^7","B"
2411,1,189,159,0.017000," ","int((-2*x+1)^(5/2)*(3*x+2)^3*(5*x+3)^(5/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(825753600000000 \sqrt{-10 x^{2}-x +3}\, x^{8}+2048901120000000 \sqrt{-10 x^{2}-x +3}\, x^{7}+1192513536000000 \sqrt{-10 x^{2}-x +3}\, x^{6}-926551552000000 \sqrt{-10 x^{2}-x +3}\, x^{5}-1205003975680000 \sqrt{-10 x^{2}-x +3}\, x^{4}-114248521536000 \sqrt{-10 x^{2}-x +3}\, x^{3}+328913631107200 \sqrt{-10 x^{2}-x +3}\, x^{2}+127950172620400 \sqrt{-10 x^{2}-x +3}\, x +19572494692443 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-29934254428740 \sqrt{-10 x^{2}-x +3}\right)}{2752512000000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/2752512000000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(825753600000000*(-10*x^2-x+3)^(1/2)*x^8+2048901120000000*(-10*x^2-x+3)^(1/2)*x^7+1192513536000000*(-10*x^2-x+3)^(1/2)*x^6-926551552000000*(-10*x^2-x+3)^(1/2)*x^5-1205003975680000*(-10*x^2-x+3)^(1/2)*x^4-114248521536000*(-10*x^2-x+3)^(1/2)*x^3+328913631107200*(-10*x^2-x+3)^(1/2)*x^2+19572494692443*10^(1/2)*arcsin(20/11*x+1/11)+127950172620400*(-10*x^2-x+3)^(1/2)*x-29934254428740*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2412,1,172,152,0.011000," ","int((-2*x+1)^(5/2)*(3*x+2)^2*(5*x+3)^(5/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(15482880000000 \sqrt{-10 x^{2}-x +3}\, x^{7}+27242496000000 \sqrt{-10 x^{2}-x +3}\, x^{6}+1940172800000 \sqrt{-10 x^{2}-x +3}\, x^{5}-20273628160000 \sqrt{-10 x^{2}-x +3}\, x^{4}-8273510592000 \sqrt{-10 x^{2}-x +3}\, x^{3}+5054007318400 \sqrt{-10 x^{2}-x +3}\, x^{2}+3386609318800 \sqrt{-10 x^{2}-x +3}\, x +447958686021 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-448299966780 \sqrt{-10 x^{2}-x +3}\right)}{137625600000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/137625600000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(15482880000000*(-10*x^2-x+3)^(1/2)*x^7+27242496000000*(-10*x^2-x+3)^(1/2)*x^6+1940172800000*(-10*x^2-x+3)^(1/2)*x^5-20273628160000*(-10*x^2-x+3)^(1/2)*x^4-8273510592000*(-10*x^2-x+3)^(1/2)*x^3+5054007318400*(-10*x^2-x+3)^(1/2)*x^2+447958686021*10^(1/2)*arcsin(20/11*x+1/11)+3386609318800*(-10*x^2-x+3)^(1/2)*x-448299966780*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2413,1,155,131,0.010000," ","int((-2*x+1)^(5/2)*(3*x+2)*(5*x+3)^(5/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(36864000000 \sqrt{-10 x^{2}-x +3}\, x^{6}+37580800000 \sqrt{-10 x^{2}-x +3}\, x^{5}-25441280000 \sqrt{-10 x^{2}-x +3}\, x^{4}-32009664000 \sqrt{-10 x^{2}-x +3}\, x^{3}+5743548800 \sqrt{-10 x^{2}-x +3}\, x^{2}+10811531600 \sqrt{-10 x^{2}-x +3}\, x +1376502897 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-498032460 \sqrt{-10 x^{2}-x +3}\right)}{860160000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/860160000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(36864000000*(-10*x^2-x+3)^(1/2)*x^6+37580800000*(-10*x^2-x+3)^(1/2)*x^5-25441280000*(-10*x^2-x+3)^(1/2)*x^4-32009664000*(-10*x^2-x+3)^(1/2)*x^3+5743548800*(-10*x^2-x+3)^(1/2)*x^2+1376502897*10^(1/2)*arcsin(20/11*x+1/11)+10811531600*(-10*x^2-x+3)^(1/2)*x-498032460*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2414,1,136,115,0.005000," ","int((-2*x+1)^(5/2)*(5*x+3)^(5/2),x)","\frac{1771561 \sqrt{\left(-2 x +1\right) \left(5 x +3\right)}\, \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)}{2048000 \sqrt{5 x +3}\, \sqrt{-2 x +1}}+\frac{\left(-2 x +1\right)^{\frac{5}{2}} \left(5 x +3\right)^{\frac{7}{2}}}{30}+\frac{11 \left(-2 x +1\right)^{\frac{3}{2}} \left(5 x +3\right)^{\frac{7}{2}}}{300}+\frac{121 \left(5 x +3\right)^{\frac{7}{2}} \sqrt{-2 x +1}}{4000}-\frac{1331 \left(5 x +3\right)^{\frac{5}{2}} \sqrt{-2 x +1}}{48000}-\frac{14641 \left(5 x +3\right)^{\frac{3}{2}} \sqrt{-2 x +1}}{76800}-\frac{161051 \sqrt{-2 x +1}\, \sqrt{5 x +3}}{102400}"," ",0,"1/30*(-2*x+1)^(5/2)*(5*x+3)^(7/2)+11/300*(-2*x+1)^(3/2)*(5*x+3)^(7/2)+121/4000*(5*x+3)^(7/2)*(-2*x+1)^(1/2)-1331/48000*(5*x+3)^(5/2)*(-2*x+1)^(1/2)-14641/76800*(5*x+3)^(3/2)*(-2*x+1)^(1/2)-161051/102400*(-2*x+1)^(1/2)*(5*x+3)^(1/2)+1771561/2048000*((-2*x+1)*(5*x+3))^(1/2)/(5*x+3)^(1/2)/(-2*x+1)^(1/2)*10^(1/2)*arcsin(20/11*x+1/11)","A"
2415,1,149,124,0.010000," ","int((-2*x+1)^(5/2)*(5*x+3)^(5/2)/(3*x+2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(1244160000 \sqrt{-10 x^{2}-x +3}\, x^{4}-710208000 \sqrt{-10 x^{2}-x +3}\, x^{3}-716630400 \sqrt{-10 x^{2}-x +3}\, x^{2}+510375600 \sqrt{-10 x^{2}-x +3}\, x +109715471 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-12544000 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+129907020 \sqrt{-10 x^{2}-x +3}\right)}{186624000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/186624000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(1244160000*(-10*x^2-x+3)^(1/2)*x^4-710208000*(-10*x^2-x+3)^(1/2)*x^3-716630400*(-10*x^2-x+3)^(1/2)*x^2+109715471*10^(1/2)*arcsin(20/11*x+1/11)-12544000*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+510375600*(-10*x^2-x+3)^(1/2)*x+129907020*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2416,1,197,131,0.013000," ","int((-2*x+1)^(5/2)*(5*x+3)^(5/2)/(3*x+2)^2,x)","-\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-15552000 \sqrt{-10 x^{2}-x +3}\, x^{4}+12873600 \sqrt{-10 x^{2}-x +3}\, x^{3}+3620880 \sqrt{-10 x^{2}-x +3}\, x^{2}+1982877 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-4972800 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-4370940 \sqrt{-10 x^{2}-x +3}\, x +1321918 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-3315200 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2739480 \sqrt{-10 x^{2}-x +3}\right)}{1866240 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)}"," ",0,"-1/1866240*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(-15552000*(-10*x^2-x+3)^(1/2)*x^4+12873600*(-10*x^2-x+3)^(1/2)*x^3+1982877*10^(1/2)*x*arcsin(20/11*x+1/11)-4972800*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3620880*(-10*x^2-x+3)^(1/2)*x^2+1321918*10^(1/2)*arcsin(20/11*x+1/11)-3315200*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-4370940*(-10*x^2-x+3)^(1/2)*x+2739480*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)","A"
2417,1,242,138,0.015000," ","int((-2*x+1)^(5/2)*(5*x+3)^(5/2)/(3*x+2)^3,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(259200 \sqrt{-10 x^{2}-x +3}\, x^{4}-347760 \sqrt{-10 x^{2}-x +3}\, x^{3}+735597 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-789660 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+380772 \sqrt{-10 x^{2}-x +3}\, x^{2}+980796 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-1052880 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1446408 \sqrt{-10 x^{2}-x +3}\, x +326932 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-350960 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+638448 \sqrt{-10 x^{2}-x +3}\right)}{23328 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{2}}"," ",0,"1/23328*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(259200*(-10*x^2-x+3)^(1/2)*x^4+735597*10^(1/2)*x^2*arcsin(20/11*x+1/11)-789660*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-347760*(-10*x^2-x+3)^(1/2)*x^3+980796*10^(1/2)*x*arcsin(20/11*x+1/11)-1052880*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+380772*(-10*x^2-x+3)^(1/2)*x^2+326932*10^(1/2)*arcsin(20/11*x+1/11)-350960*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1446408*(-10*x^2-x+3)^(1/2)*x+638448*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^2","A"
2418,1,287,145,0.014000," ","int((-2*x+1)^(5/2)*(5*x+3)^(5/2)/(3*x+2)^4,x)","-\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-1360800 \sqrt{-10 x^{2}-x +3}\, x^{4}+8291430 \sqrt{10}\, x^{3} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-11033955 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3923640 \sqrt{-10 x^{2}-x +3}\, x^{3}+16582860 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-22067910 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+17662302 \sqrt{-10 x^{2}-x +3}\, x^{2}+11055240 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-14711940 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+16422588 \sqrt{-10 x^{2}-x +3}\, x +2456720 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-3269320 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+4535328 \sqrt{-10 x^{2}-x +3}\right)}{81648 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{3}}"," ",0,"-1/81648*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(8291430*10^(1/2)*x^3*arcsin(20/11*x+1/11)-11033955*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-1360800*(-10*x^2-x+3)^(1/2)*x^4+16582860*10^(1/2)*x^2*arcsin(20/11*x+1/11)-22067910*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3923640*(-10*x^2-x+3)^(1/2)*x^3+11055240*10^(1/2)*x*arcsin(20/11*x+1/11)-14711940*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+17662302*(-10*x^2-x+3)^(1/2)*x^2+2456720*10^(1/2)*arcsin(20/11*x+1/11)-3269320*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+16422588*(-10*x^2-x+3)^(1/2)*x+4535328*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^3","A"
2419,1,332,152,0.014000," ","int((-2*x+1)^(5/2)*(5*x+3)^(5/2)/(3*x+2)^5,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(469929600 \sqrt{10}\, x^{4} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-267688395 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+152409600 \sqrt{-10 x^{2}-x +3}\, x^{4}+1253145600 \sqrt{10}\, x^{3} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-713835720 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1237963230 \sqrt{-10 x^{2}-x +3}\, x^{3}+1253145600 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-713835720 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1913684976 \sqrt{-10 x^{2}-x +3}\, x^{2}+556953600 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-317260320 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1091951784 \sqrt{-10 x^{2}-x +3}\, x +92825600 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-52876720 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+213909024 \sqrt{-10 x^{2}-x +3}\right)}{4572288 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{4}}"," ",0,"1/4572288*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(469929600*10^(1/2)*x^4*arcsin(20/11*x+1/11)-267688395*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1253145600*10^(1/2)*x^3*arcsin(20/11*x+1/11)-713835720*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+152409600*(-10*x^2-x+3)^(1/2)*x^4+1253145600*10^(1/2)*x^2*arcsin(20/11*x+1/11)-713835720*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1237963230*(-10*x^2-x+3)^(1/2)*x^3+556953600*10^(1/2)*x*arcsin(20/11*x+1/11)-317260320*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1913684976*(-10*x^2-x+3)^(1/2)*x^2+92825600*10^(1/2)*arcsin(20/11*x+1/11)-52876720*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1091951784*(-10*x^2-x+3)^(1/2)*x+213909024*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^4","B"
2420,1,377,159,0.015000," ","int((-2*x+1)^(5/2)*(5*x+3)^(5/2)/(3*x+2)^6,x)","-\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(10668672000 \sqrt{10}\, x^{5} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-133304297265 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+35562240000 \sqrt{10}\, x^{4} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-444347657550 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-20597346630 \sqrt{-10 x^{2}-x +3}\, x^{4}+47416320000 \sqrt{10}\, x^{3} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-592463543400 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-75997705140 \sqrt{-10 x^{2}-x +3}\, x^{3}+31610880000 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-394975695600 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-90172201896 \sqrt{-10 x^{2}-x +3}\, x^{2}+10536960000 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-131658565200 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-43848285264 \sqrt{-10 x^{2}-x +3}\, x +1404928000 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-17554475360 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-7591975104 \sqrt{-10 x^{2}-x +3}\right)}{320060160 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{5}}"," ",0,"-1/320060160*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(10668672000*10^(1/2)*arcsin(20/11*x+1/11)*x^5-133304297265*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+35562240000*10^(1/2)*x^4*arcsin(20/11*x+1/11)-444347657550*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+47416320000*10^(1/2)*x^3*arcsin(20/11*x+1/11)-592463543400*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-20597346630*(-10*x^2-x+3)^(1/2)*x^4+31610880000*10^(1/2)*x^2*arcsin(20/11*x+1/11)-394975695600*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-75997705140*(-10*x^2-x+3)^(1/2)*x^3+10536960000*10^(1/2)*x*arcsin(20/11*x+1/11)-131658565200*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-90172201896*(-10*x^2-x+3)^(1/2)*x^2+1404928000*10^(1/2)*arcsin(20/11*x+1/11)-17554475360*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-43848285264*(-10*x^2-x+3)^(1/2)*x-7591975104*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^5","B"
2421,1,346,164,0.013000," ","int((-2*x+1)^(5/2)*(5*x+3)^(5/2)/(3*x+2)^7,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(19372019535 \sqrt{7}\, x^{6} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+77488078140 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+7960010170 \sqrt{-10 x^{2}-x +3}\, x^{5}+129146796900 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+26676039880 \sqrt{-10 x^{2}-x +3}\, x^{4}+114797152800 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+36035545056 \sqrt{-10 x^{2}-x +3}\, x^{3}+57398576400 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+24404657984 \sqrt{-10 x^{2}-x +3}\, x^{2}+15306287040 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+8256286304 \sqrt{-10 x^{2}-x +3}\, x +1700698560 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1113517440 \sqrt{-10 x^{2}-x +3}\right)}{7375872 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{6}}"," ",0,"1/7375872*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(19372019535*7^(1/2)*x^6*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+77488078140*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+129146796900*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+7960010170*(-10*x^2-x+3)^(1/2)*x^5+114797152800*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+26676039880*(-10*x^2-x+3)^(1/2)*x^4+57398576400*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+36035545056*(-10*x^2-x+3)^(1/2)*x^3+15306287040*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+24404657984*(-10*x^2-x+3)^(1/2)*x^2+1700698560*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+8256286304*(-10*x^2-x+3)^(1/2)*x+1113517440*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^6","B"
2422,1,394,187,0.015000," ","int((-2*x+1)^(5/2)*(5*x+3)^(5/2)/(3*x+2)^8,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(2150294168385 \sqrt{7}\, x^{7} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+10034706119130 \sqrt{7}\, x^{6} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+877238952870 \sqrt{-10 x^{2}-x +3}\, x^{6}+20069412238260 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3548184526460 \sqrt{-10 x^{2}-x +3}\, x^{5}+22299346931400 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+5979472745456 \sqrt{-10 x^{2}-x +3}\, x^{4}+14866231287600 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+5376679039872 \sqrt{-10 x^{2}-x +3}\, x^{3}+5946492515040 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2720742382624 \sqrt{-10 x^{2}-x +3}\, x^{2}+1321442781120 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+734394923584 \sqrt{-10 x^{2}-x +3}\, x +125851693440 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+82570989312 \sqrt{-10 x^{2}-x +3}\right)}{103262208 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{7}}"," ",0,"1/103262208*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(2150294168385*7^(1/2)*x^7*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+10034706119130*7^(1/2)*x^6*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+20069412238260*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+877238952870*(-10*x^2-x+3)^(1/2)*x^6+22299346931400*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3548184526460*(-10*x^2-x+3)^(1/2)*x^5+14866231287600*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+5979472745456*(-10*x^2-x+3)^(1/2)*x^4+5946492515040*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+5376679039872*(-10*x^2-x+3)^(1/2)*x^3+1321442781120*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2720742382624*(-10*x^2-x+3)^(1/2)*x^2+125851693440*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+734394923584*(-10*x^2-x+3)^(1/2)*x+82570989312*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^7","B"
2423,1,442,210,0.026000," ","int((-2*x+1)^(5/2)*(5*x+3)^(5/2)/(3*x+2)^9,x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(2099326384988415 \sqrt{7}\, x^{8} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+11196407386604880 \sqrt{7}\, x^{7} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+856302488288730 \sqrt{-10 x^{2}-x +3}\, x^{7}+26124950568744720 \sqrt{7}\, x^{6} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+4034288656628160 \sqrt{-10 x^{2}-x +3}\, x^{6}+34833267424992960 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+8147042016430184 \sqrt{-10 x^{2}-x +3}\, x^{5}+29027722854160800 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+9141713903858144 \sqrt{-10 x^{2}-x +3}\, x^{4}+15481452188885760 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+6155835481632480 \sqrt{-10 x^{2}-x +3}\, x^{3}+5160484062961920 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2487632843997952 \sqrt{-10 x^{2}-x +3}\, x^{2}+982949345326080 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+558590249693056 \sqrt{-10 x^{2}-x +3}\, x +81912445443840 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+53761867826688 \sqrt{-10 x^{2}-x +3}\right)}{11565367296 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{8}}"," ",0,"1/11565367296*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(2099326384988415*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))*x^8+11196407386604880*7^(1/2)*x^7*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+26124950568744720*7^(1/2)*x^6*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+856302488288730*(-10*x^2-x+3)^(1/2)*x^7+34833267424992960*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+4034288656628160*(-10*x^2-x+3)^(1/2)*x^6+29027722854160800*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+8147042016430184*(-10*x^2-x+3)^(1/2)*x^5+15481452188885760*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+9141713903858144*(-10*x^2-x+3)^(1/2)*x^4+5160484062961920*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+6155835481632480*(-10*x^2-x+3)^(1/2)*x^3+982949345326080*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2487632843997952*(-10*x^2-x+3)^(1/2)*x^2+81912445443840*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+558590249693056*(-10*x^2-x+3)^(1/2)*x+53761867826688*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^8","B"
2424,1,155,134,0.012000," ","int((-2*x+1)^(5/2)*(3*x+2)^4/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(4976640000000 \sqrt{-10 x^{2}-x +3}\, x^{6}+6234624000000 \sqrt{-10 x^{2}-x +3}\, x^{5}-2958474240000 \sqrt{-10 x^{2}-x +3}\, x^{4}-5514147648000 \sqrt{-10 x^{2}-x +3}\, x^{3}+463447529600 \sqrt{-10 x^{2}-x +3}\, x^{2}+1976542617200 \sqrt{-10 x^{2}-x +3}\, x +266276571099 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-18412874820 \sqrt{-10 x^{2}-x +3}\right)}{537600000000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/537600000000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(4976640000000*(-10*x^2-x+3)^(1/2)*x^6+6234624000000*(-10*x^2-x+3)^(1/2)*x^5-2958474240000*(-10*x^2-x+3)^(1/2)*x^4-5514147648000*(-10*x^2-x+3)^(1/2)*x^3+463447529600*(-10*x^2-x+3)^(1/2)*x^2+266276571099*10^(1/2)*arcsin(20/11*x+1/11)+1976542617200*(-10*x^2-x+3)^(1/2)*x-18412874820*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2425,1,138,111,0.011000," ","int((-2*x+1)^(5/2)*(3*x+2)^3/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(13824000000 \sqrt{-10 x^{2}-x +3}\, x^{5}+6773760000 \sqrt{-10 x^{2}-x +3}\, x^{4}-14586048000 \sqrt{-10 x^{2}-x +3}\, x^{3}-4676790400 \sqrt{-10 x^{2}-x +3}\, x^{2}+6692877200 \sqrt{-10 x^{2}-x +3}\, x +1104036549 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+797994180 \sqrt{-10 x^{2}-x +3}\right)}{3840000000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/3840000000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(13824000000*(-10*x^2-x+3)^(1/2)*x^5+6773760000*(-10*x^2-x+3)^(1/2)*x^4-14586048000*(-10*x^2-x+3)^(1/2)*x^3-4676790400*(-10*x^2-x+3)^(1/2)*x^2+1104036549*10^(1/2)*arcsin(20/11*x+1/11)+6692877200*(-10*x^2-x+3)^(1/2)*x+797994180*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2426,1,121,104,0.012000," ","int((-2*x+1)^(5/2)*(3*x+2)^2/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(138240000 \sqrt{-10 x^{2}-x +3}\, x^{4}-44352000 \sqrt{-10 x^{2}-x +3}\, x^{3}-125129600 \sqrt{-10 x^{2}-x +3}\, x^{2}+67682800 \sqrt{-10 x^{2}-x +3}\, x +19593651 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+29969820 \sqrt{-10 x^{2}-x +3}\right)}{96000000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/96000000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(138240000*(-10*x^2-x+3)^(1/2)*x^4-44352000*(-10*x^2-x+3)^(1/2)*x^3-125129600*(-10*x^2-x+3)^(1/2)*x^2+19593651*10^(1/2)*arcsin(20/11*x+1/11)+67682800*(-10*x^2-x+3)^(1/2)*x+29969820*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2427,1,104,83,0.010000," ","int((-2*x+1)^(5/2)*(3*x+2)/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(576000 \sqrt{-10 x^{2}-x +3}\, x^{3}-707200 \sqrt{-10 x^{2}-x +3}\, x^{2}+59600 \sqrt{-10 x^{2}-x +3}\, x +195657 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+430740 \sqrt{-10 x^{2}-x +3}\right)}{960000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/960000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(576000*(-10*x^2-x+3)^(1/2)*x^3-707200*(-10*x^2-x+3)^(1/2)*x^2+195657*10^(1/2)*arcsin(20/11*x+1/11)+59600*(-10*x^2-x+3)^(1/2)*x+430740*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2428,1,88,67,0.006000," ","int((-2*x+1)^(5/2)/(5*x+3)^(1/2),x)","\frac{1331 \sqrt{\left(-2 x +1\right) \left(5 x +3\right)}\, \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)}{4000 \sqrt{5 x +3}\, \sqrt{-2 x +1}}+\frac{\left(-2 x +1\right)^{\frac{5}{2}} \sqrt{5 x +3}}{15}+\frac{11 \left(-2 x +1\right)^{\frac{3}{2}} \sqrt{5 x +3}}{60}+\frac{121 \sqrt{-2 x +1}\, \sqrt{5 x +3}}{200}"," ",0,"1/15*(-2*x+1)^(5/2)*(5*x+3)^(1/2)+11/60*(-2*x+1)^(3/2)*(5*x+3)^(1/2)+121/200*(-2*x+1)^(1/2)*(5*x+3)^(1/2)+1331/4000*((-2*x+1)*(5*x+3))^(1/2)/(5*x+3)^(1/2)/(-2*x+1)^(1/2)*10^(1/2)*arcsin(20/11*x+1/11)","A"
2429,1,98,76,0.015000," ","int((-2*x+1)^(5/2)/(3*x+2)/(5*x+3)^(1/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-3600 \sqrt{-10 x^{2}-x +3}\, x +17687 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-49000 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+16140 \sqrt{-10 x^{2}-x +3}\right)}{27000 \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/27000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(17687*10^(1/2)*arcsin(20/11*x+1/11)-49000*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-3600*(-10*x^2-x+3)^(1/2)*x+16140*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2430,1,146,83,0.015000," ","int((-2*x+1)^(5/2)/(3*x+2)^2/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(1038 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+13125 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+360 \sqrt{-10 x^{2}-x +3}\, x +692 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+8750 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+7590 \sqrt{-10 x^{2}-x +3}\right)}{1350 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)}"," ",0,"1/1350*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(1038*10^(1/2)*x*arcsin(20/11*x+1/11)+13125*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+692*10^(1/2)*arcsin(20/11*x+1/11)+8750*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+360*(-10*x^2-x+3)^(1/2)*x+7590*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)","A"
2431,1,191,90,0.013000," ","int((-2*x+1)^(5/2)/(3*x+2)^3/(5*x+3)^(1/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(288 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-136575 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+384 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-182100 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-54810 \sqrt{-10 x^{2}-x +3}\, x +128 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-60700 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-39480 \sqrt{-10 x^{2}-x +3}\right)}{1080 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{2}}"," ",0,"-1/1080*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(288*10^(1/2)*x^2*arcsin(20/11*x+1/11)-136575*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+384*10^(1/2)*x*arcsin(20/11*x+1/11)-182100*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+128*10^(1/2)*arcsin(20/11*x+1/11)-60700*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-54810*(-10*x^2-x+3)^(1/2)*x-39480*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^2","B"
2432,1,202,95,0.016000," ","int((-2*x+1)^(5/2)/(3*x+2)^4/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(539055 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1078110 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+219898 \sqrt{-10 x^{2}-x +3}\, x^{2}+718740 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+302932 \sqrt{-10 x^{2}-x +3}\, x +159720 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+104832 \sqrt{-10 x^{2}-x +3}\right)}{336 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{3}}"," ",0,"1/336*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(539055*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1078110*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+718740*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+219898*(-10*x^2-x+3)^(1/2)*x^2+159720*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+302932*(-10*x^2-x+3)^(1/2)*x+104832*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^3","B"
2433,1,250,118,0.016000," ","int((-2*x+1)^(5/2)/(3*x+2)^5/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(399439755 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1065172680 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+162928290 \sqrt{-10 x^{2}-x +3}\, x^{3}+1065172680 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+333126416 \sqrt{-10 x^{2}-x +3}\, x^{2}+473410080 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+227316824 \sqrt{-10 x^{2}-x +3}\, x +78901680 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+51789024 \sqrt{-10 x^{2}-x +3}\right)}{18816 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{4}}"," ",0,"1/18816*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(399439755*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1065172680*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1065172680*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+162928290*(-10*x^2-x+3)^(1/2)*x^3+473410080*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+333126416*(-10*x^2-x+3)^(1/2)*x^2+78901680*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+227316824*(-10*x^2-x+3)^(1/2)*x+51789024*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^4","B"
2434,1,298,141,0.016000," ","int((-2*x+1)^(5/2)/(3*x+2)^6/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(379226809665 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1264089365550 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+154683371430 \sqrt{-10 x^{2}-x +3}\, x^{4}+1685452487400 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+419390813940 \sqrt{-10 x^{2}-x +3}\, x^{3}+1123634991600 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+426661359656 \sqrt{-10 x^{2}-x +3}\, x^{2}+374544997200 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+193043476304 \sqrt{-10 x^{2}-x +3}\, x +49939332960 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+32779018944 \sqrt{-10 x^{2}-x +3}\right)}{1317120 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{5}}"," ",0,"1/1317120*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(379226809665*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1264089365550*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1685452487400*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+154683371430*(-10*x^2-x+3)^(1/2)*x^4+1123634991600*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+419390813940*(-10*x^2-x+3)^(1/2)*x^3+374544997200*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+426661359656*(-10*x^2-x+3)^(1/2)*x^2+49939332960*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+193043476304*(-10*x^2-x+3)^(1/2)*x+32779018944*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^5","B"
2435,1,346,164,0.017000," ","int((-2*x+1)^(5/2)/(3*x+2)^7/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(29287859175135 \sqrt{7}\, x^{6} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+117151436700540 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+11946266815770 \sqrt{-10 x^{2}-x +3}\, x^{5}+195252394500900 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+40353920114760 \sqrt{-10 x^{2}-x +3}\, x^{4}+173557684000800 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+54544410839520 \sqrt{-10 x^{2}-x +3}\, x^{3}+86778842000400 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+36876342922048 \sqrt{-10 x^{2}-x +3}\, x^{2}+23141024533440 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+12470758445152 \sqrt{-10 x^{2}-x +3}\, x +2571224948160 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1687693053312 \sqrt{-10 x^{2}-x +3}\right)}{7375872 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{6}}"," ",0,"1/7375872*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(29287859175135*7^(1/2)*x^6*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+117151436700540*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+195252394500900*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+11946266815770*(-10*x^2-x+3)^(1/2)*x^5+173557684000800*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+40353920114760*(-10*x^2-x+3)^(1/2)*x^4+86778842000400*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+54544410839520*(-10*x^2-x+3)^(1/2)*x^3+23141024533440*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+36876342922048*(-10*x^2-x+3)^(1/2)*x^2+2571224948160*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+12470758445152*(-10*x^2-x+3)^(1/2)*x+1687693053312*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^6","B"
2436,1,167,141,0.012000," ","int((-2*x+1)^(5/2)*(3*x+2)^4/(5*x+3)^(3/2),x)","\frac{\left(69120000000 \sqrt{-10 x^{2}-x +3}\, x^{6}+80870400000 \sqrt{-10 x^{2}-x +3}\, x^{5}-50604480000 \sqrt{-10 x^{2}-x +3}\, x^{4}-73460048000 \sqrt{-10 x^{2}-x +3}\, x^{3}+18777832400 \sqrt{-10 x^{2}-x +3}\, x^{2}+6492979185 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+27322582500 \sqrt{-10 x^{2}-x +3}\, x +3895787511 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+3368295020 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{6400000000 \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"1/6400000000*(69120000000*(-10*x^2-x+3)^(1/2)*x^6+80870400000*(-10*x^2-x+3)^(1/2)*x^5-50604480000*(-10*x^2-x+3)^(1/2)*x^4-73460048000*(-10*x^2-x+3)^(1/2)*x^3+6492979185*10^(1/2)*x*arcsin(20/11*x+1/11)+18777832400*(-10*x^2-x+3)^(1/2)*x^2+3895787511*10^(1/2)*arcsin(20/11*x+1/11)+27322582500*(-10*x^2-x+3)^(1/2)*x+3368295020*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","A"
2437,1,150,118,0.016000," ","int((-2*x+1)^(5/2)*(3*x+2)^3/(5*x+3)^(3/2),x)","\frac{\left(691200000 \sqrt{-10 x^{2}-x +3}\, x^{5}+250560000 \sqrt{-10 x^{2}-x +3}\, x^{4}-789744000 \sqrt{-10 x^{2}-x +3}\, x^{3}-82022800 \sqrt{-10 x^{2}-x +3}\, x^{2}+121599555 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+406747500 \sqrt{-10 x^{2}-x +3}\, x +72959733 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+121789060 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{160000000 \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"1/160000000*(691200000*(-10*x^2-x+3)^(1/2)*x^5+250560000*(-10*x^2-x+3)^(1/2)*x^4-789744000*(-10*x^2-x+3)^(1/2)*x^3+121599555*10^(1/2)*x*arcsin(20/11*x+1/11)-82022800*(-10*x^2-x+3)^(1/2)*x^2+72959733*10^(1/2)*arcsin(20/11*x+1/11)+406747500*(-10*x^2-x+3)^(1/2)*x+121789060*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","A"
2438,1,133,99,0.013000," ","int((-2*x+1)^(5/2)*(3*x+2)^2/(5*x+3)^(3/2),x)","\frac{\left(2880000 \sqrt{-10 x^{2}-x +3}\, x^{4}-1552000 \sqrt{-10 x^{2}-x +3}\, x^{3}-2252400 \sqrt{-10 x^{2}-x +3}\, x^{2}+1181565 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+2692500 \sqrt{-10 x^{2}-x +3}\, x +708939 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+1593980 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{1600000 \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"1/1600000*(2880000*(-10*x^2-x+3)^(1/2)*x^4-1552000*(-10*x^2-x+3)^(1/2)*x^3+1181565*10^(1/2)*x*arcsin(20/11*x+1/11)-2252400*(-10*x^2-x+3)^(1/2)*x^2+708939*10^(1/2)*arcsin(20/11*x+1/11)+2692500*(-10*x^2-x+3)^(1/2)*x+1593980*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","A"
2439,1,116,83,0.014000," ","int((-2*x+1)^(5/2)*(3*x+2)/(5*x+3)^(3/2),x)","\frac{\left(16000 \sqrt{-10 x^{2}-x +3}\, x^{3}-26800 \sqrt{-10 x^{2}-x +3}\, x^{2}+12705 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+22500 \sqrt{-10 x^{2}-x +3}\, x +7623 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+18860 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{20000 \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"1/20000*(16000*(-10*x^2-x+3)^(1/2)*x^3+12705*10^(1/2)*x*arcsin(20/11*x+1/11)-26800*(-10*x^2-x+3)^(1/2)*x^2+7623*10^(1/2)*arcsin(20/11*x+1/11)+22500*(-10*x^2-x+3)^(1/2)*x+18860*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","A"
2440,0,0,67,0.202000," ","int((-2*x+1)^(5/2)/(5*x+3)^(3/2),x)","\int \frac{\left(-2 x +1\right)^{\frac{5}{2}}}{\left(5 x +3\right)^{\frac{3}{2}}}\, dx"," ",0,"int((-2*x+1)^(5/2)/(5*x+3)^(3/2),x)","F"
2441,1,139,76,0.014000," ","int((-2*x+1)^(5/2)/(3*x+2)/(5*x+3)^(3/2),x)","\frac{\left(845 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-30625 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+300 \sqrt{-10 x^{2}-x +3}\, x +507 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-18375 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-10710 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{1125 \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"1/1125*(845*10^(1/2)*x*arcsin(20/11*x+1/11)-30625*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+507*10^(1/2)*arcsin(20/11*x+1/11)-18375*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+300*(-10*x^2-x+3)^(1/2)*x-10710*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","A"
2442,1,191,83,0.015000," ","int((-2*x+1)^(5/2)/(3*x+2)^2/(5*x+3)^(3/2),x)","-\frac{\left(120 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+249375 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+152 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+315875 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+102090 \sqrt{-10 x^{2}-x +3}\, x +48 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+99750 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+65610 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{450 \left(3 x +2\right) \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/450*(120*10^(1/2)*x^2*arcsin(20/11*x+1/11)+249375*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+152*10^(1/2)*x*arcsin(20/11*x+1/11)+315875*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+48*10^(1/2)*arcsin(20/11*x+1/11)+99750*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+102090*(-10*x^2-x+3)^(1/2)*x+65610*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2443,1,202,88,0.016000," ","int((-2*x+1)^(5/2)/(3*x+2)^3/(5*x+3)^(3/2),x)","-\frac{\left(81675 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+157905 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+33314 \sqrt{-10 x^{2}-x +3}\, x^{2}+101640 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+43686 \sqrt{-10 x^{2}-x +3}\, x +21780 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+14296 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{8 \left(3 x +2\right)^{2} \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/8*(81675*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+157905*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+101640*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+33314*(-10*x^2-x+3)^(1/2)*x^2+21780*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+43686*(-10*x^2-x+3)^(1/2)*x+14296*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)^2/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2444,1,250,111,0.016000," ","int((-2*x+1)^(5/2)/(3*x+2)^4/(5*x+3)^(3/2),x)","-\frac{\left(19847025 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+51602265 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+8095430 \sqrt{-10 x^{2}-x +3}\, x^{3}+50279130 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+16012374 \sqrt{-10 x^{2}-x +3}\, x^{2}+21758220 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+10551156 \sqrt{-10 x^{2}-x +3}\, x +3528360 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2315936 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{112 \left(3 x +2\right)^{3} \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/112*(19847025*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+51602265*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+50279130*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+8095430*(-10*x^2-x+3)^(1/2)*x^3+21758220*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+16012374*(-10*x^2-x+3)^(1/2)*x^2+3528360*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+10551156*(-10*x^2-x+3)^(1/2)*x+2315936*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)^3/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2445,1,298,134,0.017000," ","int((-2*x+1)^(5/2)/(3*x+2)^5/(5*x+3)^(3/2),x)","-\frac{\left(18668699775 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+60984419265 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+7614802650 \sqrt{-10 x^{2}-x +3}\, x^{4}+79653119040 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+20138251910 \sqrt{-10 x^{2}-x +3}\, x^{3}+51995786040 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+19965863848 \sqrt{-10 x^{2}-x +3}\, x^{2}+16963164240 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+8794929192 \sqrt{-10 x^{2}-x +3}\, x +2212586640 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1452291232 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{6272 \left(3 x +2\right)^{4} \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/6272*(18668699775*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+60984419265*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+79653119040*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+7614802650*(-10*x^2-x+3)^(1/2)*x^4+51995786040*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+20138251910*(-10*x^2-x+3)^(1/2)*x^3+16963164240*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+19965863848*(-10*x^2-x+3)^(1/2)*x^2+2212586640*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+8794929192*(-10*x^2-x+3)^(1/2)*x+1452291232*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)^4/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2446,1,346,157,0.017000," ","int((-2*x+1)^(5/2)/(3*x+2)^6/(5*x+3)^(3/2),x)","-\frac{\left(21498268812075 \sqrt{7}\, x^{6} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+84559857327495 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+8768959639650 \sqrt{-10 x^{2}-x +3}\, x^{5}+138544399011150 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+29036530544490 \sqrt{-10 x^{2}-x +3}\, x^{4}+121027291090200 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+38452412617500 \sqrt{-10 x^{2}-x +3}\, x^{3}+59452002640800 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+25455981805688 \sqrt{-10 x^{2}-x +3}\, x^{2}+15570762596400 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+8424381751632 \sqrt{-10 x^{2}-x +3}\, x +1698628646880 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1114940919232 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{439040 \left(3 x +2\right)^{5} \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/439040*(21498268812075*7^(1/2)*x^6*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+84559857327495*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+138544399011150*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+8768959639650*(-10*x^2-x+3)^(1/2)*x^5+121027291090200*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+29036530544490*(-10*x^2-x+3)^(1/2)*x^4+59452002640800*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+38452412617500*(-10*x^2-x+3)^(1/2)*x^3+15570762596400*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+25455981805688*(-10*x^2-x+3)^(1/2)*x^2+1698628646880*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+8424381751632*(-10*x^2-x+3)^(1/2)*x+1114940919232*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)^5/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2447,1,181,148,0.014000," ","int((-2*x+1)^(5/2)*(3*x+2)^4/(5*x+3)^(5/2),x)","\frac{\left(31104000000 \sqrt{-10 x^{2}-x +3}\, x^{6}+32529600000 \sqrt{-10 x^{2}-x +3}\, x^{5}-28384560000 \sqrt{-10 x^{2}-x +3}\, x^{4}-28103994000 \sqrt{-10 x^{2}-x +3}\, x^{3}+6622244475 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+17318919900 \sqrt{-10 x^{2}-x +3}\, x^{2}+7946693370 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+19613174200 \sqrt{-10 x^{2}-x +3}\, x +2384008011 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+4217105020 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{2400000000 \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/2400000000*(31104000000*(-10*x^2-x+3)^(1/2)*x^6+32529600000*(-10*x^2-x+3)^(1/2)*x^5-28384560000*(-10*x^2-x+3)^(1/2)*x^4+6622244475*10^(1/2)*x^2*arcsin(20/11*x+1/11)-28103994000*(-10*x^2-x+3)^(1/2)*x^3+7946693370*10^(1/2)*x*arcsin(20/11*x+1/11)+17318919900*(-10*x^2-x+3)^(1/2)*x^2+2384008011*10^(1/2)*arcsin(20/11*x+1/11)+19613174200*(-10*x^2-x+3)^(1/2)*x+4217105020*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","A"
2448,1,164,125,0.014000," ","int((-2*x+1)^(5/2)*(3*x+2)^3/(5*x+3)^(5/2),x)","\frac{\left(129600000 \sqrt{-10 x^{2}-x +3}\, x^{5}+19440000 \sqrt{-10 x^{2}-x +3}\, x^{4}-154494000 \sqrt{-10 x^{2}-x +3}\, x^{3}+57513225 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+61494900 \sqrt{-10 x^{2}-x +3}\, x^{2}+69015870 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+157524200 \sqrt{-10 x^{2}-x +3}\, x +20704761 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+46440020 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{24000000 \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/24000000*(129600000*(-10*x^2-x+3)^(1/2)*x^5+19440000*(-10*x^2-x+3)^(1/2)*x^4+57513225*10^(1/2)*x^2*arcsin(20/11*x+1/11)-154494000*(-10*x^2-x+3)^(1/2)*x^3+69015870*10^(1/2)*x*arcsin(20/11*x+1/11)+61494900*(-10*x^2-x+3)^(1/2)*x^2+20704761*10^(1/2)*arcsin(20/11*x+1/11)+157524200*(-10*x^2-x+3)^(1/2)*x+46440020*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","A"
2449,1,147,99,0.014000," ","int((-2*x+1)^(5/2)*(3*x+2)^2/(5*x+3)^(5/2),x)","\frac{\left(720000 \sqrt{-10 x^{2}-x +3}\, x^{4}-702000 \sqrt{-10 x^{2}-x +3}\, x^{3}+271425 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+71700 \sqrt{-10 x^{2}-x +3}\, x^{2}+325710 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+818600 \sqrt{-10 x^{2}-x +3}\, x +97713 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+212660 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{300000 \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/300000*(720000*(-10*x^2-x+3)^(1/2)*x^4+271425*10^(1/2)*x^2*arcsin(20/11*x+1/11)-702000*(-10*x^2-x+3)^(1/2)*x^3+325710*10^(1/2)*x*arcsin(20/11*x+1/11)+71700*(-10*x^2-x+3)^(1/2)*x^2+97713*10^(1/2)*arcsin(20/11*x+1/11)+818600*(-10*x^2-x+3)^(1/2)*x+212660*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","A"
2450,1,130,83,0.013000," ","int((-2*x+1)^(5/2)*(3*x+2)/(5*x+3)^(5/2),x)","-\frac{\left(-18000 \sqrt{-10 x^{2}-x +3}\, x^{3}+75075 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+54300 \sqrt{-10 x^{2}-x +3}\, x^{2}+90090 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+159400 \sqrt{-10 x^{2}-x +3}\, x +27027 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+74140 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{15000 \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"-1/15000*(75075*10^(1/2)*x^2*arcsin(20/11*x+1/11)-18000*(-10*x^2-x+3)^(1/2)*x^3+90090*10^(1/2)*x*arcsin(20/11*x+1/11)+54300*(-10*x^2-x+3)^(1/2)*x^2+27027*10^(1/2)*arcsin(20/11*x+1/11)+159400*(-10*x^2-x+3)^(1/2)*x+74140*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","A"
2451,0,0,67,0.204000," ","int((-2*x+1)^(5/2)/(5*x+3)^(5/2),x)","\int \frac{\left(-2 x +1\right)^{\frac{5}{2}}}{\left(5 x +3\right)^{\frac{5}{2}}}\, dx"," ",0,"int((-2*x+1)^(5/2)/(5*x+3)^(5/2),x)","F"
2452,1,184,76,0.016000," ","int((-2*x+1)^(5/2)/(3*x+2)/(5*x+3)^(5/2),x)","-\frac{\left(100 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-153125 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+120 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-183750 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-62150 \sqrt{-10 x^{2}-x +3}\, x +36 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-55125 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-36080 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{375 \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"-1/375*(100*10^(1/2)*x^2*arcsin(20/11*x+1/11)-153125*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+120*10^(1/2)*x*arcsin(20/11*x+1/11)-183750*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+36*10^(1/2)*arcsin(20/11*x+1/11)-55125*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-62150*(-10*x^2-x+3)^(1/2)*x-36080*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","B"
2453,1,202,80,0.016000," ","int((-2*x+1)^(5/2)/(3*x+2)^2/(5*x+3)^(5/2),x)","\frac{\left(86625 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+161700 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+35334 \sqrt{-10 x^{2}-x +3}\, x^{2}+100485 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+43976 \sqrt{-10 x^{2}-x +3}\, x +20790 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+13646 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{6 \left(3 x +2\right) \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/6*(86625*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+161700*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+100485*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+35334*(-10*x^2-x+3)^(1/2)*x^2+20790*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+43976*(-10*x^2-x+3)^(1/2)*x+13646*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","B"
2454,1,250,104,0.016000," ","int((-2*x+1)^(5/2)/(3*x+2)^3/(5*x+3)^(5/2),x)","\frac{\left(8872875 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+22477950 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3619170 \sqrt{-10 x^{2}-x +3}\, x^{3}+21334335 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+6917268 \sqrt{-10 x^{2}-x +3}\, x^{2}+8991180 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+4400642 \sqrt{-10 x^{2}-x +3}\, x +1419660 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+931832 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{24 \left(3 x +2\right)^{2} \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/24*(8872875*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+22477950*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+21334335*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3619170*(-10*x^2-x+3)^(1/2)*x^3+8991180*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+6917268*(-10*x^2-x+3)^(1/2)*x^2+1419660*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+4400642*(-10*x^2-x+3)^(1/2)*x+931832*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)^2/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","B"
2455,1,298,127,0.017000," ","int((-2*x+1)^(5/2)/(3*x+2)^4/(5*x+3)^(5/2),x)","\frac{\left(2756419875 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+8820543600 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1124320050 \sqrt{-10 x^{2}-x +3}\, x^{4}+11282945355 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2898443520 \sqrt{-10 x^{2}-x +3}\, x^{3}+7211611110 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2799688458 \sqrt{-10 x^{2}-x +3}\, x^{2}+2303141940 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1200872932 \sqrt{-10 x^{2}-x +3}\, x +294018120 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+192986752 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{336 \left(3 x +2\right)^{3} \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/336*(2756419875*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+8820543600*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+11282945355*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1124320050*(-10*x^2-x+3)^(1/2)*x^4+7211611110*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2898443520*(-10*x^2-x+3)^(1/2)*x^3+2303141940*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2799688458*(-10*x^2-x+3)^(1/2)*x^2+294018120*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1200872932*(-10*x^2-x+3)^(1/2)*x+192986752*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)^3/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","B"
2456,1,346,150,0.017000," ","int((-2*x+1)^(5/2)/(3*x+2)^5/(5*x+3)^(5/2),x)","\frac{\left(3155484184875 \sqrt{7}\, x^{6} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+12201205514850 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1287094961250 \sqrt{-10 x^{2}-x +3}\, x^{5}+19648148191155 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+4176132792300 \sqrt{-10 x^{2}-x +3}\, x^{4}+16866647317080 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+5417063350650 \sqrt{-10 x^{2}-x +3}\, x^{3}+8140370065080 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3511408936896 \sqrt{-10 x^{2}-x +3}\, x^{2}+2094306540480 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1137413907224 \sqrt{-10 x^{2}-x +3}\, x +224389986480 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+147284444384 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{18816 \left(3 x +2\right)^{4} \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/18816*(3155484184875*7^(1/2)*x^6*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+12201205514850*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+19648148191155*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1287094961250*(-10*x^2-x+3)^(1/2)*x^5+16866647317080*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+4176132792300*(-10*x^2-x+3)^(1/2)*x^4+8140370065080*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+5417063350650*(-10*x^2-x+3)^(1/2)*x^3+2094306540480*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3511408936896*(-10*x^2-x+3)^(1/2)*x^2+224389986480*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1137413907224*(-10*x^2-x+3)^(1/2)*x+147284444384*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)^4/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","B"
2457,1,394,173,0.017000," ","int((-2*x+1)^(5/2)/(3*x+2)^6/(5*x+3)^(5/2),x)","\frac{\left(4280680490662125 \sqrt{7}\, x^{7} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+19405751557668300 \sqrt{7}\, x^{6} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1746052893096750 \sqrt{-10 x^{2}-x +3}\, x^{6}+37689013564451865 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+6829311689562600 \sqrt{-10 x^{2}-x +3}\, x^{5}+40650610289102550 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+11125554365281230 \sqrt{-10 x^{2}-x +3}\, x^{4}+26297118668561400 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+9662658051124260 \sqrt{-10 x^{2}-x +3}\, x^{3}+10203169301199600 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+4718679545989416 \sqrt{-10 x^{2}-x +3}\, x^{2}+2198472943352400 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1228469050319504 \sqrt{-10 x^{2}-x +3}\, x +202935964001760 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+133202515888064 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{1317120 \left(3 x +2\right)^{5} \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/1317120*(4280680490662125*7^(1/2)*x^7*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+19405751557668300*7^(1/2)*x^6*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+37689013564451865*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1746052893096750*(-10*x^2-x+3)^(1/2)*x^6+40650610289102550*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+6829311689562600*(-10*x^2-x+3)^(1/2)*x^5+26297118668561400*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+11125554365281230*(-10*x^2-x+3)^(1/2)*x^4+10203169301199600*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+9662658051124260*(-10*x^2-x+3)^(1/2)*x^3+2198472943352400*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+4718679545989416*(-10*x^2-x+3)^(1/2)*x^2+202935964001760*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1228469050319504*(-10*x^2-x+3)^(1/2)*x+133202515888064*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)^5/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","B"
2458,1,121,102,0.015000," ","int((3*x+2)^4*(5*x+3)^(1/2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-414720000 \sqrt{-10 x^{2}-x +3}\, x^{4}-1646784000 \sqrt{-10 x^{2}-x +3}\, x^{3}-2922883200 \sqrt{-10 x^{2}-x +3}\, x^{2}-3263372400 \sqrt{-10 x^{2}-x +3}\, x +1067352517 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-3148384060 \sqrt{-10 x^{2}-x +3}\right)}{51200000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/51200000*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(-414720000*(-10*x^2-x+3)^(1/2)*x^4-1646784000*(-10*x^2-x+3)^(1/2)*x^3-2922883200*(-10*x^2-x+3)^(1/2)*x^2+1067352517*10^(1/2)*arcsin(20/11*x+1/11)-3263372400*(-10*x^2-x+3)^(1/2)*x-3148384060*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2459,1,104,79,0.012000," ","int((3*x+2)^3*(5*x+3)^(1/2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-345600 \sqrt{-10 x^{2}-x +3}\, x^{3}-1157760 \sqrt{-10 x^{2}-x +3}\, x^{2}-1761840 \sqrt{-10 x^{2}-x +3}\, x +677017 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-1945900 \sqrt{-10 x^{2}-x +3}\right)}{102400 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/102400*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(-345600*(-10*x^2-x+3)^(1/2)*x^3-1157760*(-10*x^2-x+3)^(1/2)*x^2+677017*10^(1/2)*arcsin(20/11*x+1/11)-1761840*(-10*x^2-x+3)^(1/2)*x-1945900*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2460,1,87,72,0.013000," ","int((3*x+2)^2*(5*x+3)^(1/2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-48000 \sqrt{-10 x^{2}-x +3}\, x^{2}-133200 \sqrt{-10 x^{2}-x +3}\, x +68959 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-188020 \sqrt{-10 x^{2}-x +3}\right)}{32000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/32000*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(-48000*(-10*x^2-x+3)^(1/2)*x^2+68959*10^(1/2)*arcsin(20/11*x+1/11)-133200*(-10*x^2-x+3)^(1/2)*x-188020*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2461,1,70,51,0.010000," ","int((3*x+2)*(5*x+3)^(1/2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-1200 \sqrt{-10 x^{2}-x +3}\, x +1177 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-2860 \sqrt{-10 x^{2}-x +3}\right)}{1600 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/1600*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(1177*10^(1/2)*arcsin(20/11*x+1/11)-1200*(-10*x^2-x+3)^(1/2)*x-2860*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2462,1,56,35,0.006000," ","int((5*x+3)^(1/2)/(-2*x+1)^(1/2),x)","\frac{11 \sqrt{\left(-2 x +1\right) \left(5 x +3\right)}\, \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)}{40 \sqrt{5 x +3}\, \sqrt{-2 x +1}}-\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}}{2}"," ",0,"-1/2*(-2*x+1)^(1/2)*(5*x+3)^(1/2)+11/40*((-2*x+1)*(5*x+3))^(1/2)/(5*x+3)^(1/2)/(-2*x+1)^(1/2)*10^(1/2)*arcsin(20/11*x+1/11)","A"
2463,1,69,44,0.014000," ","int((5*x+3)^(1/2)/(3*x+2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(7 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-2 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)\right)}{42 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/42*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(7*10^(1/2)*arcsin(20/11*x+1/11)-2*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2)))/(-10*x^2-x+3)^(1/2)","A"
2464,1,108,49,0.015000," ","int((5*x+3)^(1/2)/(3*x+2)^2/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(33 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+22 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-14 \sqrt{-10 x^{2}-x +3}\right)}{98 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)}"," ",0,"1/98*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(33*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+22*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-14*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)","B"
2465,1,154,72,0.016000," ","int((5*x+3)^(1/2)/(3*x+2)^3/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(4059 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+5412 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1218 \sqrt{-10 x^{2}-x +3}\, x +1804 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+616 \sqrt{-10 x^{2}-x +3}\right)}{2744 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{2}}"," ",0,"1/2744*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(4059*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+5412*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1804*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1218*(-10*x^2-x+3)^(1/2)*x+616*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^2","B"
2466,1,202,95,0.016000," ","int((5*x+3)^(1/2)/(3*x+2)^4/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(411345 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+822690 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+163590 \sqrt{-10 x^{2}-x +3}\, x^{2}+548460 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+223020 \sqrt{-10 x^{2}-x +3}\, x +121880 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+74144 \sqrt{-10 x^{2}-x +3}\right)}{38416 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{3}}"," ",0,"1/38416*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(411345*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+822690*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+548460*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+163590*(-10*x^2-x+3)^(1/2)*x^2+121880*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+223020*(-10*x^2-x+3)^(1/2)*x+74144*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^3","B"
2467,1,250,118,0.015000," ","int((5*x+3)^(1/2)/(3*x+2)^5/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(30396465 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+81057240 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+12373830 \sqrt{-10 x^{2}-x +3}\, x^{3}+81057240 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+25285680 \sqrt{-10 x^{2}-x +3}\, x^{2}+36025440 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+17232264 \sqrt{-10 x^{2}-x +3}\, x +6004240 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3905440 \sqrt{-10 x^{2}-x +3}\right)}{307328 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{4}}"," ",0,"1/307328*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(30396465*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+81057240*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+81057240*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+12373830*(-10*x^2-x+3)^(1/2)*x^3+36025440*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+25285680*(-10*x^2-x+3)^(1/2)*x^2+6004240*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+17232264*(-10*x^2-x+3)^(1/2)*x+3905440*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^4","B"
2468,1,121,95,0.013000," ","int((3*x+2)^3*(5*x+3)^(3/2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-138240000 \sqrt{-10 x^{2}-x +3}\, x^{4}-537408000 \sqrt{-10 x^{2}-x +3}\, x^{3}-935702400 \sqrt{-10 x^{2}-x +3}\, x^{2}-1029062800 \sqrt{-10 x^{2}-x +3}\, x +333216939 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-984598020 \sqrt{-10 x^{2}-x +3}\right)}{10240000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/10240000*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(-138240000*(-10*x^2-x+3)^(1/2)*x^4-537408000*(-10*x^2-x+3)^(1/2)*x^3-935702400*(-10*x^2-x+3)^(1/2)*x^2+333216939*10^(1/2)*arcsin(20/11*x+1/11)-1029062800*(-10*x^2-x+3)^(1/2)*x-984598020*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2469,1,104,88,0.012000," ","int((3*x+2)^2*(5*x+3)^(3/2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-2880000 \sqrt{-10 x^{2}-x +3}\, x^{3}-9392000 \sqrt{-10 x^{2}-x +3}\, x^{2}-13971600 \sqrt{-10 x^{2}-x +3}\, x +5274027 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-15213060 \sqrt{-10 x^{2}-x +3}\right)}{512000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/512000*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(-2880000*(-10*x^2-x+3)^(1/2)*x^3-9392000*(-10*x^2-x+3)^(1/2)*x^2+5274027*10^(1/2)*arcsin(20/11*x+1/11)-13971600*(-10*x^2-x+3)^(1/2)*x-15213060*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2470,1,87,67,0.013000," ","int((3*x+2)*(5*x+3)^(3/2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-16000 \sqrt{-10 x^{2}-x +3}\, x^{2}-42800 \sqrt{-10 x^{2}-x +3}\, x +21417 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-58860 \sqrt{-10 x^{2}-x +3}\right)}{6400 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/6400*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(-16000*(-10*x^2-x+3)^(1/2)*x^2+21417*10^(1/2)*arcsin(20/11*x+1/11)-42800*(-10*x^2-x+3)^(1/2)*x-58860*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2471,1,72,51,0.004000," ","int((5*x+3)^(3/2)/(-2*x+1)^(1/2),x)","\frac{363 \sqrt{\left(-2 x +1\right) \left(5 x +3\right)}\, \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)}{320 \sqrt{5 x +3}\, \sqrt{-2 x +1}}-\frac{\left(5 x +3\right)^{\frac{3}{2}} \sqrt{-2 x +1}}{4}-\frac{33 \sqrt{-2 x +1}\, \sqrt{5 x +3}}{16}"," ",0,"-1/4*(5*x+3)^(3/2)*(-2*x+1)^(1/2)-33/16*(-2*x+1)^(1/2)*(5*x+3)^(1/2)+363/320*((-2*x+1)*(5*x+3))^(1/2)/(5*x+3)^(1/2)/(-2*x+1)^(1/2)*10^(1/2)*arcsin(20/11*x+1/11)","A"
2472,1,83,60,0.014000," ","int((5*x+3)^(3/2)/(3*x+2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(203 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+8 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-420 \sqrt{-10 x^{2}-x +3}\right)}{504 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/504*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(203*10^(1/2)*arcsin(20/11*x+1/11)+8*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-420*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2473,1,131,67,0.016000," ","int((5*x+3)^(3/2)/(3*x+2)^2/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(735 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-309 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+490 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-206 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+42 \sqrt{-10 x^{2}-x +3}\right)}{882 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)}"," ",0,"1/882*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(735*10^(1/2)*x*arcsin(20/11*x+1/11)-309*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+490*10^(1/2)*arcsin(20/11*x+1/11)-206*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+42*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)","A"
2474,1,154,72,0.015000," ","int((5*x+3)^(3/2)/(3*x+2)^3/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(3267 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+4356 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-2366 \sqrt{-10 x^{2}-x +3}\, x +1452 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-1512 \sqrt{-10 x^{2}-x +3}\right)}{2744 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{2}}"," ",0,"1/2744*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3267*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+4356*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1452*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-2366*(-10*x^2-x+3)^(1/2)*x-1512*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^2","B"
2475,1,202,95,0.015000," ","int((5*x+3)^(3/2)/(3*x+2)^4/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(147015 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+294030 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+30730 \sqrt{-10 x^{2}-x +3}\, x^{2}+196020 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+25620 \sqrt{-10 x^{2}-x +3}\, x +43560 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+4032 \sqrt{-10 x^{2}-x +3}\right)}{38416 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{3}}"," ",0,"1/38416*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(147015*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+294030*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+196020*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+30730*(-10*x^2-x+3)^(1/2)*x^2+43560*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+25620*(-10*x^2-x+3)^(1/2)*x+4032*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^3","B"
2476,1,250,118,0.016000," ","int((5*x+3)^(3/2)/(3*x+2)^5/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(6321645 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+16857720 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2418990 \sqrt{-10 x^{2}-x +3}\, x^{3}+16857720 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+4854640 \sqrt{-10 x^{2}-x +3}\, x^{2}+7492320 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3168872 \sqrt{-10 x^{2}-x +3}\, x +1248720 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+675360 \sqrt{-10 x^{2}-x +3}\right)}{307328 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{4}}"," ",0,"1/307328*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(6321645*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+16857720*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+16857720*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2418990*(-10*x^2-x+3)^(1/2)*x^3+7492320*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+4854640*(-10*x^2-x+3)^(1/2)*x^2+1248720*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3168872*(-10*x^2-x+3)^(1/2)*x+675360*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^4","B"
2477,1,298,141,0.017000," ","int((5*x+3)^(3/2)/(3*x+2)^6/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(3236829255 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+10789430850 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1312092810 \sqrt{-10 x^{2}-x +3}\, x^{4}+14385907800 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3552777900 \sqrt{-10 x^{2}-x +3}\, x^{3}+9590605200 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3605439768 \sqrt{-10 x^{2}-x +3}\, x^{2}+3196868400 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1621260592 \sqrt{-10 x^{2}-x +3}\, x +426249120 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+272123712 \sqrt{-10 x^{2}-x +3}\right)}{21512960 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{5}}"," ",0,"1/21512960*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3236829255*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+10789430850*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+14385907800*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1312092810*(-10*x^2-x+3)^(1/2)*x^4+9590605200*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3552777900*(-10*x^2-x+3)^(1/2)*x^3+3196868400*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3605439768*(-10*x^2-x+3)^(1/2)*x^2+426249120*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1621260592*(-10*x^2-x+3)^(1/2)*x+272123712*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^5","B"
2478,1,138,111,0.013000," ","int((3*x+2)^3*(5*x+3)^(5/2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-2764800000 \sqrt{-10 x^{2}-x +3}\, x^{5}-12303360000 \sqrt{-10 x^{2}-x +3}\, x^{4}-24591168000 \sqrt{-10 x^{2}-x +3}\, x^{3}-30100144000 \sqrt{-10 x^{2}-x +3}\, x^{2}-27254304400 \sqrt{-10 x^{2}-x +3}\, x +8035077963 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-24057931140 \sqrt{-10 x^{2}-x +3}\right)}{49152000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/49152000*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(-2764800000*(-10*x^2-x+3)^(1/2)*x^5-12303360000*(-10*x^2-x+3)^(1/2)*x^4-24591168000*(-10*x^2-x+3)^(1/2)*x^3-30100144000*(-10*x^2-x+3)^(1/2)*x^2+8035077963*10^(1/2)*arcsin(20/11*x+1/11)-27254304400*(-10*x^2-x+3)^(1/2)*x-24057931140*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2479,1,121,104,0.012000," ","int((3*x+2)^2*(5*x+3)^(5/2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-138240000 \sqrt{-10 x^{2}-x +3}\, x^{4}-525888000 \sqrt{-10 x^{2}-x +3}\, x^{3}-898134400 \sqrt{-10 x^{2}-x +3}\, x^{2}-973176400 \sqrt{-10 x^{2}-x +3}\, x +312120831 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-923745780 \sqrt{-10 x^{2}-x +3}\right)}{6144000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/6144000*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(-138240000*(-10*x^2-x+3)^(1/2)*x^4-525888000*(-10*x^2-x+3)^(1/2)*x^3-898134400*(-10*x^2-x+3)^(1/2)*x^2+312120831*10^(1/2)*arcsin(20/11*x+1/11)-973176400*(-10*x^2-x+3)^(1/2)*x-923745780*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2480,1,104,83,0.010000," ","int((3*x+2)*(5*x+3)^(5/2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-576000 \sqrt{-10 x^{2}-x +3}\, x^{3}-1827200 \sqrt{-10 x^{2}-x +3}\, x^{2}-2657360 \sqrt{-10 x^{2}-x +3}\, x +986271 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-2854260 \sqrt{-10 x^{2}-x +3}\right)}{61440 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/61440*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(-576000*(-10*x^2-x+3)^(1/2)*x^3-1827200*(-10*x^2-x+3)^(1/2)*x^2+986271*10^(1/2)*arcsin(20/11*x+1/11)-2657360*(-10*x^2-x+3)^(1/2)*x-2854260*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2481,1,88,67,0.005000," ","int((5*x+3)^(5/2)/(-2*x+1)^(1/2),x)","\frac{1331 \sqrt{\left(-2 x +1\right) \left(5 x +3\right)}\, \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)}{256 \sqrt{5 x +3}\, \sqrt{-2 x +1}}-\frac{\left(5 x +3\right)^{\frac{5}{2}} \sqrt{-2 x +1}}{6}-\frac{55 \left(5 x +3\right)^{\frac{3}{2}} \sqrt{-2 x +1}}{48}-\frac{605 \sqrt{-2 x +1}\, \sqrt{5 x +3}}{64}"," ",0,"-1/6*(5*x+3)^(5/2)*(-2*x+1)^(1/2)-55/48*(5*x+3)^(3/2)*(-2*x+1)^(1/2)-605/64*(-2*x+1)^(1/2)*(5*x+3)^(1/2)+1331/256*((-2*x+1)*(5*x+3))^(1/2)/(5*x+3)^(1/2)/(-2*x+1)^(1/2)*10^(1/2)*arcsin(20/11*x+1/11)","A"
2482,1,98,76,0.013000," ","int((5*x+3)^(5/2)/(3*x+2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-25200 \sqrt{-10 x^{2}-x +3}\, x +21245 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-64 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-53340 \sqrt{-10 x^{2}-x +3}\right)}{12096 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/12096*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(21245*10^(1/2)*arcsin(20/11*x+1/11)-64*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-25200*(-10*x^2-x+3)^(1/2)*x-53340*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2483,1,146,83,0.015000," ","int((5*x+3)^(5/2)/(3*x+2)^2/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(18375 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+2076 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-44100 \sqrt{-10 x^{2}-x +3}\, x +12250 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+1384 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-29568 \sqrt{-10 x^{2}-x +3}\right)}{10584 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)}"," ",0,"1/10584*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(18375*10^(1/2)*x*arcsin(20/11*x+1/11)+2076*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+12250*10^(1/2)*arcsin(20/11*x+1/11)+1384*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-44100*(-10*x^2-x+3)^(1/2)*x-29568*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)","A"
2484,1,191,90,0.015000," ","int((5*x+3)^(5/2)/(3*x+2)^3/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(308700 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-159183 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+411600 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-212244 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+38934 \sqrt{-10 x^{2}-x +3}\, x +137200 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-70748 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+25368 \sqrt{-10 x^{2}-x +3}\right)}{74088 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{2}}"," ",0,"1/74088*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(308700*10^(1/2)*x^2*arcsin(20/11*x+1/11)-159183*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+411600*10^(1/2)*x*arcsin(20/11*x+1/11)-212244*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+137200*10^(1/2)*arcsin(20/11*x+1/11)-70748*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+38934*(-10*x^2-x+3)^(1/2)*x+25368*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^2","B"
2485,1,202,95,0.014000," ","int((5*x+3)^(5/2)/(3*x+2)^4/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(539055 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1078110 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-527590 \sqrt{-10 x^{2}-x +3}\, x^{2}+718740 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-674380 \sqrt{-10 x^{2}-x +3}\, x +159720 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-215712 \sqrt{-10 x^{2}-x +3}\right)}{115248 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{3}}"," ",0,"1/115248*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(539055*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1078110*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+718740*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-527590*(-10*x^2-x+3)^(1/2)*x^2+159720*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-674380*(-10*x^2-x+3)^(1/2)*x-215712*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^3","B"
2486,1,250,118,0.015000," ","int((5*x+3)^(5/2)/(3*x+2)^5/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(1617165 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+4312440 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+181230 \sqrt{-10 x^{2}-x +3}\, x^{3}+4312440 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+96880 \sqrt{-10 x^{2}-x +3}\, x^{2}+1916640 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-90776 \sqrt{-10 x^{2}-x +3}\, x +319440 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-50400 \sqrt{-10 x^{2}-x +3}\right)}{131712 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{4}}"," ",0,"1/131712*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(1617165*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+4312440*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+4312440*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+181230*(-10*x^2-x+3)^(1/2)*x^3+1916640*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+96880*(-10*x^2-x+3)^(1/2)*x^2+319440*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-90776*(-10*x^2-x+3)^(1/2)*x-50400*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^4","B"
2487,1,298,141,0.016000," ","int((5*x+3)^(5/2)/(3*x+2)^6/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(3400897995 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+11336326650 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1227846690 \sqrt{-10 x^{2}-x +3}\, x^{4}+15115102200 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3237887100 \sqrt{-10 x^{2}-x +3}\, x^{3}+10076734800 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3120123832 \sqrt{-10 x^{2}-x +3}\, x^{2}+3358911600 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1306077808 \sqrt{-10 x^{2}-x +3}\, x +447854880 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+200628288 \sqrt{-10 x^{2}-x +3}\right)}{64538880 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{5}}"," ",0,"1/64538880*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3400897995*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+11336326650*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+15115102200*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1227846690*(-10*x^2-x+3)^(1/2)*x^4+10076734800*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3237887100*(-10*x^2-x+3)^(1/2)*x^3+3358911600*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3120123832*(-10*x^2-x+3)^(1/2)*x^2+447854880*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1306077808*(-10*x^2-x+3)^(1/2)*x+200628288*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^5","B"
2488,1,346,164,0.025000," ","int((5*x+3)^(5/2)/(3*x+2)^7/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(574887603015 \sqrt{7}\, x^{6} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2299550412060 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+231229473930 \sqrt{-10 x^{2}-x +3}\, x^{5}+3832584020100 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+779215981320 \sqrt{-10 x^{2}-x +3}\, x^{4}+3406741351200 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1049047713504 \sqrt{-10 x^{2}-x +3}\, x^{3}+1703370675600 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+703664648512 \sqrt{-10 x^{2}-x +3}\, x^{2}+454232180160 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+234804461920 \sqrt{-10 x^{2}-x +3}\, x +50470242240 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+31151401344 \sqrt{-10 x^{2}-x +3}\right)}{1807088640 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{6}}"," ",0,"1/1807088640*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(574887603015*7^(1/2)*x^6*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2299550412060*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3832584020100*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+231229473930*(-10*x^2-x+3)^(1/2)*x^5+3406741351200*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+779215981320*(-10*x^2-x+3)^(1/2)*x^4+1703370675600*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1049047713504*(-10*x^2-x+3)^(1/2)*x^3+454232180160*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+703664648512*(-10*x^2-x+3)^(1/2)*x^2+50470242240*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+234804461920*(-10*x^2-x+3)^(1/2)*x+31151401344*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^6","B"
2489,1,104,86,0.015000," ","int((3*x+2)^4/(-2*x+1)^(1/2)/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-5184000 \sqrt{-10 x^{2}-x +3}\, x^{3}-17827200 \sqrt{-10 x^{2}-x +3}\, x^{2}-27752400 \sqrt{-10 x^{2}-x +3}\, x +10866247 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-31109460 \sqrt{-10 x^{2}-x +3}\right)}{2560000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/2560000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(-5184000*(-10*x^2-x+3)^(1/2)*x^3-17827200*(-10*x^2-x+3)^(1/2)*x^2+10866247*10^(1/2)*arcsin(20/11*x+1/11)-27752400*(-10*x^2-x+3)^(1/2)*x-31109460*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2490,1,87,63,0.016000," ","int((3*x+2)^3/(-2*x+1)^(1/2)/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-28800 \sqrt{-10 x^{2}-x +3}\, x^{2}-82800 \sqrt{-10 x^{2}-x +3}\, x +44437 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-120060 \sqrt{-10 x^{2}-x +3}\right)}{32000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/32000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(-28800*(-10*x^2-x+3)^(1/2)*x^2+44437*10^(1/2)*arcsin(20/11*x+1/11)-82800*(-10*x^2-x+3)^(1/2)*x-120060*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2491,1,70,56,0.014000," ","int((3*x+2)^2/(-2*x+1)^(1/2)/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-3600 \sqrt{-10 x^{2}-x +3}\, x +3827 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-9060 \sqrt{-10 x^{2}-x +3}\right)}{8000 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/8000*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3827*10^(1/2)*arcsin(20/11*x+1/11)-3600*(-10*x^2-x+3)^(1/2)*x-9060*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2492,1,55,35,0.013000," ","int((3*x+2)/(-2*x+1)^(1/2)/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(37 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-60 \sqrt{-10 x^{2}-x +3}\right)}{200 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/200*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(37*10^(1/2)*arcsin(20/11*x+1/11)-60*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)","A"
2493,1,39,18,0.004000," ","int(1/(-2*x+1)^(1/2)/(5*x+3)^(1/2),x)","\frac{\sqrt{\left(-2 x +1\right) \left(5 x +3\right)}\, \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)}{10 \sqrt{5 x +3}\, \sqrt{-2 x +1}}"," ",0,"1/10*((-2*x+1)*(5*x+3))^(1/2)/(5*x+3)^(1/2)/(-2*x+1)^(1/2)*10^(1/2)*arcsin(20/11*x+1/11)","B"
2494,1,55,25,0.013000," ","int(1/(3*x+2)/(-2*x+1)^(1/2)/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)}{7 \sqrt{-10 x^{2}-x +3}}"," ",0,"1/7*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(-10*x^2-x+3)^(1/2)*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))","B"
2495,1,108,49,0.016000," ","int(1/(3*x+2)^2/(-2*x+1)^(1/2)/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(111 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+74 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+42 \sqrt{-10 x^{2}-x +3}\right)}{98 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)}"," ",0,"1/98*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(111*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+74*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+42*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)","B"
2496,1,154,72,0.017000," ","int(1/(3*x+2)^3/(-2*x+1)^(1/2)/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(34443 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+45924 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+13986 \sqrt{-10 x^{2}-x +3}\, x +15308 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+9912 \sqrt{-10 x^{2}-x +3}\right)}{2744 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{2}}"," ",0,"1/2744*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(34443*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+45924*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+15308*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+13986*(-10*x^2-x+3)^(1/2)*x+9912*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^2","B"
2497,1,202,95,0.016000," ","int(1/(3*x+2)^4/(-2*x+1)^(1/2)/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(5998995 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+11997990 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2446290 \sqrt{-10 x^{2}-x +3}\, x^{2}+7998660 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3370500 \sqrt{-10 x^{2}-x +3}\, x +1777480 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1165248 \sqrt{-10 x^{2}-x +3}\right)}{38416 \sqrt{-10 x^{2}-x +3}\, \left(3 x +2\right)^{3}}"," ",0,"1/38416*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(5998995*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+11997990*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+7998660*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2446290*(-10*x^2-x+3)^(1/2)*x^2+1777480*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3370500*(-10*x^2-x+3)^(1/2)*x+1165248*(-10*x^2-x+3)^(1/2))/(-10*x^2-x+3)^(1/2)/(3*x+2)^3","B"
2498,1,116,86,0.014000," ","int((3*x+2)^4/(5*x+3)^(3/2)/(-2*x+1)^(1/2),x)","\frac{\left(-4752000 \sqrt{-10 x^{2}-x +3}\, x^{3}-16988400 \sqrt{-10 x^{2}-x +3}\, x^{2}+7880565 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-29551500 \sqrt{-10 x^{2}-x +3}\, x +4728339 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-12642020 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{1760000 \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"1/1760000*(-4752000*(-10*x^2-x+3)^(1/2)*x^3+7880565*10^(1/2)*x*arcsin(20/11*x+1/11)-16988400*(-10*x^2-x+3)^(1/2)*x^2+4728339*10^(1/2)*arcsin(20/11*x+1/11)-29551500*(-10*x^2-x+3)^(1/2)*x-12642020*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","A"
2499,1,99,63,0.017000," ","int((3*x+2)^3/(5*x+3)^(3/2)/(-2*x+1)^(1/2),x)","\frac{\left(-118800 \sqrt{-10 x^{2}-x +3}\, x^{2}+137115 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-386100 \sqrt{-10 x^{2}-x +3}\, x +82269 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-189020 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{88000 \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"1/88000*(137115*10^(1/2)*x*arcsin(20/11*x+1/11)-118800*(-10*x^2-x+3)^(1/2)*x^2+82269*10^(1/2)*arcsin(20/11*x+1/11)-386100*(-10*x^2-x+3)^(1/2)*x-189020*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","A"
2500,1,82,51,0.014000," ","int((3*x+2)^2/(5*x+3)^(3/2)/(-2*x+1)^(1/2),x)","\frac{\left(6765 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-9900 \sqrt{-10 x^{2}-x +3}\, x +4059 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-6020 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{11000 \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"1/11000*(6765*10^(1/2)*x*arcsin(20/11*x+1/11)+4059*10^(1/2)*arcsin(20/11*x+1/11)-9900*(-10*x^2-x+3)^(1/2)*x-6020*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","A"
2501,1,67,35,0.013000," ","int((3*x+2)/(5*x+3)^(3/2)/(-2*x+1)^(1/2),x)","\frac{\left(165 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+99 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-20 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{550 \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"1/550*(165*10^(1/2)*x*arcsin(20/11*x+1/11)+99*10^(1/2)*arcsin(20/11*x+1/11)-20*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","A"
2502,1,17,16,0.004000," ","int(1/(5*x+3)^(3/2)/(-2*x+1)^(1/2),x)","-\frac{2 \sqrt{-2 x +1}}{11 \sqrt{5 x +3}}"," ",0,"-2/11*(-2*x+1)^(1/2)/(5*x+3)^(1/2)","A"
2503,1,101,42,0.016000," ","int(1/(3*x+2)/(5*x+3)^(3/2)/(-2*x+1)^(1/2),x)","-\frac{\left(165 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+99 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+70 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{77 \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/77*(165*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+99*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+70*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2504,1,154,65,0.016000," ","int(1/(3*x+2)^2/(5*x+3)^(3/2)/(-2*x+1)^(1/2),x)","-\frac{\left(52965 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+67089 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+21630 \sqrt{-10 x^{2}-x +3}\, x +21186 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+13958 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{1078 \left(3 x +2\right) \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/1078*(52965*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+67089*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+21186*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+21630*(-10*x^2-x+3)^(1/2)*x+13958*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2505,1,202,88,0.016000," ","int(1/(3*x+2)^3/(5*x+3)^(3/2)/(-2*x+1)^(1/2),x)","-\frac{\left(27928395 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+53994897 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+11392290 \sqrt{-10 x^{2}-x +3}\, x^{2}+34755336 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+14938854 \sqrt{-10 x^{2}-x +3}\, x +7447572 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+4889528 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{30184 \left(3 x +2\right)^{2} \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/30184*(27928395*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+53994897*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+34755336*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+11392290*(-10*x^2-x+3)^(1/2)*x^2+7447572*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+14938854*(-10*x^2-x+3)^(1/2)*x+4889528*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)^2/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2506,1,250,111,0.022000," ","int(1/(3*x+2)^4/(5*x+3)^(3/2)/(-2*x+1)^(1/2),x)","-\frac{\left(6854797125 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+17822472525 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2796018750 \sqrt{-10 x^{2}-x +3}\, x^{3}+17365486050 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+5530395150 \sqrt{-10 x^{2}-x +3}\, x^{2}+7514888700 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3644185860 \sqrt{-10 x^{2}-x +3}\, x +1218630600 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+799893472 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{422576 \left(3 x +2\right)^{3} \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/422576*(6854797125*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+17822472525*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+17365486050*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2796018750*(-10*x^2-x+3)^(1/2)*x^3+7514888700*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+5530395150*(-10*x^2-x+3)^(1/2)*x^2+1218630600*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3644185860*(-10*x^2-x+3)^(1/2)*x+799893472*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)^3/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2507,1,147,109,0.016000," ","int((3*x+2)^5/(5*x+3)^(5/2)/(-2*x+1)^(1/2),x)","\frac{\left(-2352240000 \sqrt{-10 x^{2}-x +3}\, x^{4}-10055826000 \sqrt{-10 x^{2}-x +3}\, x^{3}+4195889775 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-20610522900 \sqrt{-10 x^{2}-x +3}\, x^{2}+5035067730 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-15905948200 \sqrt{-10 x^{2}-x +3}\, x +1510520319 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-3990994420 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{290400000 \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/290400000*(-2352240000*(-10*x^2-x+3)^(1/2)*x^4+4195889775*10^(1/2)*x^2*arcsin(20/11*x+1/11)-10055826000*(-10*x^2-x+3)^(1/2)*x^3+5035067730*10^(1/2)*x*arcsin(20/11*x+1/11)-20610522900*(-10*x^2-x+3)^(1/2)*x^2+1510520319*10^(1/2)*arcsin(20/11*x+1/11)-15905948200*(-10*x^2-x+3)^(1/2)*x-3990994420*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","A"
2508,1,130,86,0.016000," ","int((3*x+2)^4/(5*x+3)^(5/2)/(-2*x+1)^(1/2),x)","\frac{\left(-58806000 \sqrt{-10 x^{2}-x +3}\, x^{3}+73752525 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-234243900 \sqrt{-10 x^{2}-x +3}\, x^{2}+88503030 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-217838200 \sqrt{-10 x^{2}-x +3}\, x +26550909 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-59078620 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{14520000 \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/14520000*(73752525*10^(1/2)*x^2*arcsin(20/11*x+1/11)-58806000*(-10*x^2-x+3)^(1/2)*x^3+88503030*10^(1/2)*x*arcsin(20/11*x+1/11)-234243900*(-10*x^2-x+3)^(1/2)*x^2+26550909*10^(1/2)*arcsin(20/11*x+1/11)-217838200*(-10*x^2-x+3)^(1/2)*x-59078620*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","A"
2509,1,113,63,0.014000," ","int((3*x+2)^3/(5*x+3)^(5/2)/(-2*x+1)^(1/2),x)","\frac{\left(735075 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-980100 \sqrt{-10 x^{2}-x +3}\, x^{2}+882090 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-1200200 \sqrt{-10 x^{2}-x +3}\, x +264627 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-367460 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{363000 \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/363000*(735075*10^(1/2)*x^2*arcsin(20/11*x+1/11)+882090*10^(1/2)*x*arcsin(20/11*x+1/11)-980100*(-10*x^2-x+3)^(1/2)*x^2+264627*10^(1/2)*arcsin(20/11*x+1/11)-1200200*(-10*x^2-x+3)^(1/2)*x-367460*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","A"
2510,1,96,51,0.013000," ","int((3*x+2)^2/(5*x+3)^(5/2)/(-2*x+1)^(1/2),x)","\frac{\left(81675 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+98010 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-20200 \sqrt{-10 x^{2}-x +3}\, x +29403 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-12340 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{90750 \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/90750*(81675*10^(1/2)*x^2*arcsin(20/11*x+1/11)+98010*10^(1/2)*x*arcsin(20/11*x+1/11)+29403*10^(1/2)*arcsin(20/11*x+1/11)-20200*(-10*x^2-x+3)^(1/2)*x-12340*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","A"
2511,1,22,33,0.003000," ","int((3*x+2)/(5*x+3)^(5/2)/(-2*x+1)^(1/2),x)","-\frac{2 \left(103 x +64\right) \sqrt{-2 x +1}}{363 \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"-2/363*(103*x+64)/(5*x+3)^(3/2)*(-2*x+1)^(1/2)","A"
2512,1,22,33,0.003000," ","int(1/(5*x+3)^(5/2)/(-2*x+1)^(1/2),x)","-\frac{2 \left(20 x +23\right) \sqrt{-2 x +1}}{363 \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"-2/363*(20*x+23)/(5*x+3)^(3/2)*(-2*x+1)^(1/2)","A"
2513,1,147,58,0.015000," ","int(1/(3*x+2)/(5*x+3)^(5/2)/(-2*x+1)^(1/2),x)","\frac{\left(81675 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+98010 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+33250 \sqrt{-10 x^{2}-x +3}\, x +29403 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+19180 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{2541 \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/2541*(81675*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+98010*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+29403*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+33250*(-10*x^2-x+3)^(1/2)*x+19180*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","B"
2514,1,202,81,0.017000," ","int(1/(3*x+2)^2/(5*x+3)^(5/2)/(-2*x+1)^(1/2),x)","\frac{\left(43369425 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+80956260 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+17689350 \sqrt{-10 x^{2}-x +3}\, x^{2}+50308533 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+22016120 \sqrt{-10 x^{2}-x +3}\, x +10408662 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+6830726 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{35574 \left(3 x +2\right) \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/35574*(43369425*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+80956260*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+50308533*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+17689350*(-10*x^2-x+3)^(1/2)*x^2+10408662*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+22016120*(-10*x^2-x+3)^(1/2)*x+6830726*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","B"
2515,1,250,104,0.018000," ","int(1/(3*x+2)^3/(5*x+3)^(5/2)/(-2*x+1)^(1/2),x)","\frac{\left(32039714025 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+81167275530 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+13068710550 \sqrt{-10 x^{2}-x +3}\, x^{3}+77037712389 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+24978031260 \sqrt{-10 x^{2}-x +3}\, x^{2}+32466910212 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+15890574518 \sqrt{-10 x^{2}-x +3}\, x +5126354244 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3364793096 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{996072 \left(3 x +2\right)^{2} \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/996072*(32039714025*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+81167275530*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+77037712389*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+13068710550*(-10*x^2-x+3)^(1/2)*x^3+32466910212*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+24978031260*(-10*x^2-x+3)^(1/2)*x^2+5126354244*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+15890574518*(-10*x^2-x+3)^(1/2)*x+3364793096*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)^2/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","B"
2516,1,298,127,0.022000," ","int(1/(3*x+2)^4/(5*x+3)^(5/2)/(-2*x+1)^(1/2),x)","\frac{\left(10121464522125 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+32388686470800 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+4128458496750 \sqrt{-10 x^{2}-x +3}\, x^{4}+41430528110565 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+10642969209600 \sqrt{-10 x^{2}-x +3}\, x^{3}+26480750142330 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+10280344385430 \sqrt{-10 x^{2}-x +3}\, x^{2}+8457045911820 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+4409557451740 \sqrt{-10 x^{2}-x +3}\, x +1079622882360 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+708639394624 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}}{13945008 \left(3 x +2\right)^{3} \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/13945008*(10121464522125*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+32388686470800*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+41430528110565*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+4128458496750*(-10*x^2-x+3)^(1/2)*x^4+26480750142330*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+10642969209600*(-10*x^2-x+3)^(1/2)*x^3+8457045911820*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+10280344385430*(-10*x^2-x+3)^(1/2)*x^2+1079622882360*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+4409557451740*(-10*x^2-x+3)^(1/2)*x+708639394624*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)/(3*x+2)^3/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","B"
2517,1,154,51,0.070000," ","int(1/(f*x+e)/(b*x+a)^(1/2)/(b*f*x-a*f+2*b*e)^(1/2),x)","-\frac{\sqrt{b f x -a f +2 b e}\, \sqrt{b x +a}\, \ln \left(-\frac{2 \left(a^{2} f^{2}-2 a b e f +b^{2} e^{2}-\sqrt{-\frac{\left(a f -b e \right)^{2}}{f}}\, \sqrt{b^{2} f \,x^{2}+2 b^{2} e x -a^{2} f +2 a b e}\, f \right)}{f x +e}\right)}{\sqrt{-\frac{\left(a f -b e \right)^{2}}{f}}\, \sqrt{b^{2} f \,x^{2}+2 b^{2} e x -a^{2} f +2 a b e}\, f}"," ",0,"-ln(-2*(a^2*f^2-2*a*b*e*f+b^2*e^2-(-(a*f-b*e)^2/f)^(1/2)*(b^2*f*x^2+2*b^2*e*x-a^2*f+2*a*b*e)^(1/2)*f)/(f*x+e))*(b*f*x-a*f+2*b*e)^(1/2)*(b*x+a)^(1/2)/(-(a*f-b*e)^2/f)^(1/2)/(b^2*f*x^2+2*b^2*e*x-a^2*f+2*a*b*e)^(1/2)/f","B"
2518,1,157,131,0.017000," ","int((3*x+2)^5*(5*x+3)^(1/2)/(-2*x+1)^(3/2),x)","-\frac{\left(-2488320000 \sqrt{-10 x^{2}-x +3}\, x^{5}-12265344000 \sqrt{-10 x^{2}-x +3}\, x^{4}-28583827200 \sqrt{-10 x^{2}-x +3}\, x^{3}-45952984800 \sqrt{-10 x^{2}-x +3}\, x^{2}+70879916002 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-76215389160 \sqrt{-10 x^{2}-x +3}\, x -35439958001 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+107795663180 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{102400000 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/102400000*(-2488320000*(-10*x^2-x+3)^(1/2)*x^5-12265344000*(-10*x^2-x+3)^(1/2)*x^4-28583827200*(-10*x^2-x+3)^(1/2)*x^3+70879916002*10^(1/2)*x*arcsin(20/11*x+1/11)-45952984800*(-10*x^2-x+3)^(1/2)*x^2-35439958001*10^(1/2)*arcsin(20/11*x+1/11)-76215389160*(-10*x^2-x+3)^(1/2)*x+107795663180*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","A"
2519,1,140,108,0.015000," ","int((3*x+2)^4*(5*x+3)^(1/2)/(-2*x+1)^(3/2),x)","-\frac{\left(-10368000 \sqrt{-10 x^{2}-x +3}\, x^{4}-45676800 \sqrt{-10 x^{2}-x +3}\, x^{3}-100404000 \sqrt{-10 x^{2}-x +3}\, x^{2}+184216574 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-191757720 \sqrt{-10 x^{2}-x +3}\, x -92108287 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+281001460 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{1024000 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/1024000*(-10368000*(-10*x^2-x+3)^(1/2)*x^4-45676800*(-10*x^2-x+3)^(1/2)*x^3+184216574*10^(1/2)*x*arcsin(20/11*x+1/11)-100404000*(-10*x^2-x+3)^(1/2)*x^2-92108287*10^(1/2)*arcsin(20/11*x+1/11)-191757720*(-10*x^2-x+3)^(1/2)*x+281001460*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","A"
2520,1,123,85,0.014000," ","int((3*x+2)^3*(5*x+3)^(1/2)/(-2*x+1)^(3/2),x)","-\frac{\left(-288000 \sqrt{-10 x^{2}-x +3}\, x^{3}-1159200 \sqrt{-10 x^{2}-x +3}\, x^{2}+2926894 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-2853720 \sqrt{-10 x^{2}-x +3}\, x -1463447 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+4496660 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{64000 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/64000*(-288000*(-10*x^2-x+3)^(1/2)*x^3+2926894*10^(1/2)*x*arcsin(20/11*x+1/11)-1159200*(-10*x^2-x+3)^(1/2)*x^2-1463447*10^(1/2)*arcsin(20/11*x+1/11)-2853720*(-10*x^2-x+3)^(1/2)*x+4496660*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","A"
2521,1,106,67,0.014000," ","int((3*x+2)^2*(5*x+3)^(1/2)/(-2*x+1)^(3/2),x)","-\frac{\left(-7200 \sqrt{-10 x^{2}-x +3}\, x^{2}+35902 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-30360 \sqrt{-10 x^{2}-x +3}\, x -17951 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+56180 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{3200 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/3200*(35902*10^(1/2)*x*arcsin(20/11*x+1/11)-7200*(-10*x^2-x+3)^(1/2)*x^2-17951*10^(1/2)*arcsin(20/11*x+1/11)-30360*(-10*x^2-x+3)^(1/2)*x+56180*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","A"
2522,1,89,51,0.013000," ","int((3*x+2)*(5*x+3)^(1/2)/(-2*x+1)^(3/2),x)","-\frac{\left(206 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-120 \sqrt{-10 x^{2}-x +3}\, x -103 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+340 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{80 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/80*(206*10^(1/2)*x*arcsin(20/11*x+1/11)-103*10^(1/2)*arcsin(20/11*x+1/11)-120*(-10*x^2-x+3)^(1/2)*x+340*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","A"
2523,0,0,34,0.233000," ","int((5*x+3)^(1/2)/(-2*x+1)^(3/2),x)","\int \frac{\sqrt{5 x +3}}{\left(-2 x +1\right)^{\frac{3}{2}}}\, dx"," ",0,"int((5*x+3)^(1/2)/(-2*x+1)^(3/2),x)","F"
2524,1,108,42,0.013000," ","int((5*x+3)^(1/2)/(-2*x+1)^(3/2)/(3*x+2),x)","-\frac{\left(2 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-\sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+14 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{49 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/49*(2*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+14*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","B"
2525,1,161,72,0.014000," ","int((5*x+3)^(1/2)/(-2*x+1)^(3/2)/(3*x+2)^2,x)","\frac{\left(174 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+29 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-252 \sqrt{-10 x^{2}-x +3}\, x -58 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-70 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{686 \left(3 x +2\right) \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"1/686*(174*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+29*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-58*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-252*(-10*x^2-x+3)^(1/2)*x-70*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","B"
2526,1,209,95,0.017000," ","int((5*x+3)^(1/2)/(-2*x+1)^(3/2)/(3*x+2)^3,x)","\frac{\left(28530 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+23775 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1260 \sqrt{-10 x^{2}-x +3}\, x^{2}-6340 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-5670 \sqrt{-10 x^{2}-x +3}\, x -6340 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-2968 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{19208 \left(3 x +2\right)^{2} \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"1/19208*(28530*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+23775*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-6340*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1260*(-10*x^2-x+3)^(1/2)*x^2-6340*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-5670*(-10*x^2-x+3)^(1/2)*x-2968*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^2/(2*x-1)/(-10*x^2-x+3)^(1/2)","B"
2527,1,257,118,0.015000," ","int((5*x+3)^(1/2)/(-2*x+1)^(3/2)/(3*x+2)^4,x)","\frac{\left(401490 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+602235 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+142380 \sqrt{-10 x^{2}-x +3}\, x^{3}+133830 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+112770 \sqrt{-10 x^{2}-x +3}\, x^{2}-148700 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-43596 \sqrt{-10 x^{2}-x +3}\, x -59480 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-35168 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{38416 \left(3 x +2\right)^{3} \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"1/38416*(401490*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+602235*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+133830*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+142380*(-10*x^2-x+3)^(1/2)*x^3-148700*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+112770*(-10*x^2-x+3)^(1/2)*x^2-59480*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-43596*(-10*x^2-x+3)^(1/2)*x-35168*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^3/(2*x-1)/(-10*x^2-x+3)^(1/2)","B"
2528,1,305,141,0.016000," ","int((5*x+3)^(1/2)/(-2*x+1)^(3/2)/(3*x+2)^5,x)","\frac{\left(201650310 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+436909005 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+81077220 \sqrt{-10 x^{2}-x +3}\, x^{4}+268867080 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+124561710 \sqrt{-10 x^{2}-x +3}\, x^{3}-29874120 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+29052576 \sqrt{-10 x^{2}-x +3}\, x^{2}-79664320 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-31347288 \sqrt{-10 x^{2}-x +3}\, x -19916080 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-12841696 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{2151296 \left(3 x +2\right)^{4} \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"1/2151296*(201650310*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+436909005*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+268867080*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+81077220*(-10*x^2-x+3)^(1/2)*x^4-29874120*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+124561710*(-10*x^2-x+3)^(1/2)*x^3-79664320*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+29052576*(-10*x^2-x+3)^(1/2)*x^2-19916080*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-31347288*(-10*x^2-x+3)^(1/2)*x-12841696*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^4/(2*x-1)/(-10*x^2-x+3)^(1/2)","B"
2529,1,157,124,0.014000," ","int((3*x+2)^4*(5*x+3)^(3/2)/(-2*x+1)^(3/2),x)","-\frac{\left(-829440000 \sqrt{-10 x^{2}-x +3}\, x^{5}-4019328000 \sqrt{-10 x^{2}-x +3}\, x^{4}-9223430400 \sqrt{-10 x^{2}-x +3}\, x^{3}-14648301600 \sqrt{-10 x^{2}-x +3}\, x^{2}+22398528174 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-24126744920 \sqrt{-10 x^{2}-x +3}\, x -11199264087 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+34058544660 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{20480000 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/20480000*(-829440000*(-10*x^2-x+3)^(1/2)*x^5-4019328000*(-10*x^2-x+3)^(1/2)*x^4-9223430400*(-10*x^2-x+3)^(1/2)*x^3+22398528174*10^(1/2)*x*arcsin(20/11*x+1/11)-14648301600*(-10*x^2-x+3)^(1/2)*x^2-11199264087*10^(1/2)*arcsin(20/11*x+1/11)-24126744920*(-10*x^2-x+3)^(1/2)*x+34058544660*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","A"
2530,1,140,101,0.013000," ","int((3*x+2)^3*(5*x+3)^(3/2)/(-2*x+1)^(3/2),x)","-\frac{\left(-17280000 \sqrt{-10 x^{2}-x +3}\, x^{4}-74592000 \sqrt{-10 x^{2}-x +3}\, x^{3}-161157600 \sqrt{-10 x^{2}-x +3}\, x^{2}+291417522 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-304376360 \sqrt{-10 x^{2}-x +3}\, x -145708761 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+444353580 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{1024000 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/1024000*(-17280000*(-10*x^2-x+3)^(1/2)*x^4-74592000*(-10*x^2-x+3)^(1/2)*x^3+291417522*10^(1/2)*x*arcsin(20/11*x+1/11)-161157600*(-10*x^2-x+3)^(1/2)*x^2-145708761*10^(1/2)*arcsin(20/11*x+1/11)-304376360*(-10*x^2-x+3)^(1/2)*x+444353580*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","A"
2531,1,123,83,0.013000," ","int((3*x+2)^2*(5*x+3)^(3/2)/(-2*x+1)^(3/2),x)","-\frac{\left(-96000 \sqrt{-10 x^{2}-x +3}\, x^{3}-376800 \sqrt{-10 x^{2}-x +3}\, x^{2}+927762 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-910760 \sqrt{-10 x^{2}-x +3}\, x -463881 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+1423980 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{12800 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/12800*(-96000*(-10*x^2-x+3)^(1/2)*x^3+927762*10^(1/2)*x*arcsin(20/11*x+1/11)-376800*(-10*x^2-x+3)^(1/2)*x^2-463881*10^(1/2)*arcsin(20/11*x+1/11)-910760*(-10*x^2-x+3)^(1/2)*x+1423980*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","A"
2532,1,106,67,0.011000," ","int((3*x+2)*(5*x+3)^(3/2)/(-2*x+1)^(3/2),x)","-\frac{\left(-2400 \sqrt{-10 x^{2}-x +3}\, x^{2}+11418 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-9800 \sqrt{-10 x^{2}-x +3}\, x -5709 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+17820 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{640 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/640*(11418*10^(1/2)*x*arcsin(20/11*x+1/11)-2400*(-10*x^2-x+3)^(1/2)*x^2-5709*10^(1/2)*arcsin(20/11*x+1/11)-9800*(-10*x^2-x+3)^(1/2)*x+17820*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","A"
2533,0,0,50,0.201000," ","int((5*x+3)^(3/2)/(-2*x+1)^(3/2),x)","\int \frac{\left(5 x +3\right)^{\frac{3}{2}}}{\left(-2 x +1\right)^{\frac{3}{2}}}\, dx"," ",0,"int((5*x+3)^(3/2)/(-2*x+1)^(3/2),x)","F"
2534,1,131,60,0.013000," ","int((5*x+3)^(3/2)/(-2*x+1)^(3/2)/(3*x+2),x)","-\frac{\left(490 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-8 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-245 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+4 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+924 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{588 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/588*(490*10^(1/2)*x*arcsin(20/11*x+1/11)-8*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-245*10^(1/2)*arcsin(20/11*x+1/11)+4*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+924*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","B"
2535,1,161,72,0.014000," ","int((5*x+3)^(3/2)/(-2*x+1)^(3/2)/(3*x+2)^2,x)","-\frac{\left(198 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+33 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+896 \sqrt{-10 x^{2}-x +3}\, x -66 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+630 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{686 \left(3 x +2\right) \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/686*(198*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+33*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-66*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+896*(-10*x^2-x+3)^(1/2)*x+630*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","B"
2536,1,209,95,0.016000," ","int((5*x+3)^(3/2)/(-2*x+1)^(3/2)/(3*x+2)^3,x)","\frac{\left(14850 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+12375 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-35700 \sqrt{-10 x^{2}-x +3}\, x^{2}-3300 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-31430 \sqrt{-10 x^{2}-x +3}\, x -3300 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-5544 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{19208 \left(3 x +2\right)^{2} \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"1/19208*(14850*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+12375*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-3300*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-35700*(-10*x^2-x+3)^(1/2)*x^2-3300*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-31430*(-10*x^2-x+3)^(1/2)*x-5544*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^2/(2*x-1)/(-10*x^2-x+3)^(1/2)","B"
2537,1,257,118,0.016000," ","int((5*x+3)^(3/2)/(-2*x+1)^(3/2)/(3*x+2)^4,x)","\frac{\left(151470 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+227205 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-34860 \sqrt{-10 x^{2}-x +3}\, x^{3}+50490 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-85890 \sqrt{-10 x^{2}-x +3}\, x^{2}-56100 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-52948 \sqrt{-10 x^{2}-x +3}\, x -22440 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-8064 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{38416 \left(3 x +2\right)^{3} \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"1/38416*(151470*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+227205*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+50490*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-34860*(-10*x^2-x+3)^(1/2)*x^3-56100*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-85890*(-10*x^2-x+3)^(1/2)*x^2-22440*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-52948*(-10*x^2-x+3)^(1/2)*x-8064*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^3/(2*x-1)/(-10*x^2-x+3)^(1/2)","B"
2538,1,305,141,0.016000," ","int((5*x+3)^(3/2)/(-2*x+1)^(3/2)/(3*x+2)^5,x)","\frac{\left(45200430 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+97934265 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+12840660 \sqrt{-10 x^{2}-x +3}\, x^{4}+60267240 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+16632630 \sqrt{-10 x^{2}-x +3}\, x^{3}-6696360 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-840672 \sqrt{-10 x^{2}-x +3}\, x^{2}-17856960 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-7535864 \sqrt{-10 x^{2}-x +3}\, x -4464240 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-2284128 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{2151296 \left(3 x +2\right)^{4} \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"1/2151296*(45200430*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+97934265*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+60267240*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+12840660*(-10*x^2-x+3)^(1/2)*x^4-6696360*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+16632630*(-10*x^2-x+3)^(1/2)*x^3-17856960*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-840672*(-10*x^2-x+3)^(1/2)*x^2-4464240*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-7535864*(-10*x^2-x+3)^(1/2)*x-2284128*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^4/(2*x-1)/(-10*x^2-x+3)^(1/2)","B"
2539,1,174,140,0.015000," ","int((3*x+2)^4*(5*x+3)^(5/2)/(-2*x+1)^(3/2),x)","-\frac{\left(-5529600000 \sqrt{-10 x^{2}-x +3}\, x^{6}-29583360000 \sqrt{-10 x^{2}-x +3}\, x^{5}-73747584000 \sqrt{-10 x^{2}-x +3}\, x^{4}-118909702400 \sqrt{-10 x^{2}-x +3}\, x^{3}-155109396000 \sqrt{-10 x^{2}-x +3}\, x^{2}+214243498062 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-234681126360 \sqrt{-10 x^{2}-x +3}\, x -107121749031 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+325348480980 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{32768000 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/32768000*(-5529600000*(-10*x^2-x+3)^(1/2)*x^6-29583360000*(-10*x^2-x+3)^(1/2)*x^5-73747584000*(-10*x^2-x+3)^(1/2)*x^4-118909702400*(-10*x^2-x+3)^(1/2)*x^3+214243498062*10^(1/2)*x*arcsin(20/11*x+1/11)-155109396000*(-10*x^2-x+3)^(1/2)*x^2-107121749031*10^(1/2)*arcsin(20/11*x+1/11)-234681126360*(-10*x^2-x+3)^(1/2)*x+325348480980*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","A"
2540,1,157,117,0.013000," ","int((3*x+2)^3*(5*x+3)^(5/2)/(-2*x+1)^(3/2),x)","-\frac{\left(-276480000 \sqrt{-10 x^{2}-x +3}\, x^{5}-1316736000 \sqrt{-10 x^{2}-x +3}\, x^{4}-2975020800 \sqrt{-10 x^{2}-x +3}\, x^{3}-4667890400 \sqrt{-10 x^{2}-x +3}\, x^{2}+7077619362 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-7636413160 \sqrt{-10 x^{2}-x +3}\, x -3538809681 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+10760376780 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{4096000 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/4096000*(-276480000*(-10*x^2-x+3)^(1/2)*x^5-1316736000*(-10*x^2-x+3)^(1/2)*x^4-2975020800*(-10*x^2-x+3)^(1/2)*x^3+7077619362*10^(1/2)*x*arcsin(20/11*x+1/11)-4667890400*(-10*x^2-x+3)^(1/2)*x^2-3538809681*10^(1/2)*arcsin(20/11*x+1/11)-7636413160*(-10*x^2-x+3)^(1/2)*x+10760376780*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","A"
2541,1,140,99,0.013000," ","int((3*x+2)^2*(5*x+3)^(5/2)/(-2*x+1)^(3/2),x)","-\frac{\left(-1152000 \sqrt{-10 x^{2}-x +3}\, x^{4}-4870400 \sqrt{-10 x^{2}-x +3}\, x^{3}-10341920 \sqrt{-10 x^{2}-x +3}\, x^{2}+18438222 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-19320280 \sqrt{-10 x^{2}-x +3}\, x -9219111 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+28104660 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{40960 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/40960*(-1152000*(-10*x^2-x+3)^(1/2)*x^4-4870400*(-10*x^2-x+3)^(1/2)*x^3+18438222*10^(1/2)*x*arcsin(20/11*x+1/11)-10341920*(-10*x^2-x+3)^(1/2)*x^2-9219111*10^(1/2)*arcsin(20/11*x+1/11)-19320280*(-10*x^2-x+3)^(1/2)*x+28104660*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","A"
2542,1,123,83,0.013000," ","int((3*x+2)*(5*x+3)^(5/2)/(-2*x+1)^(3/2),x)","-\frac{\left(-6400 \sqrt{-10 x^{2}-x +3}\, x^{3}-24480 \sqrt{-10 x^{2}-x +3}\, x^{2}+58806 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-58104 \sqrt{-10 x^{2}-x +3}\, x -29403 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+90180 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{512 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/512*(-6400*(-10*x^2-x+3)^(1/2)*x^3+58806*10^(1/2)*x*arcsin(20/11*x+1/11)-24480*(-10*x^2-x+3)^(1/2)*x^2-29403*10^(1/2)*arcsin(20/11*x+1/11)-58104*(-10*x^2-x+3)^(1/2)*x+90180*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","A"
2543,0,0,66,0.204000," ","int((5*x+3)^(5/2)/(-2*x+1)^(3/2),x)","\int \frac{\left(5 x +3\right)^{\frac{5}{2}}}{\left(-2 x +1\right)^{\frac{3}{2}}}\, dx"," ",0,"int((5*x+3)^(5/2)/(-2*x+1)^(3/2),x)","F"
2544,1,146,76,0.015000," ","int((5*x+3)^(5/2)/(-2*x+1)^(3/2)/(3*x+2),x)","-\frac{\left(46550 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+32 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-29400 \sqrt{-10 x^{2}-x +3}\, x -23275 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-16 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+75684 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{7056 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/7056*(46550*10^(1/2)*x*arcsin(20/11*x+1/11)+32*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-23275*10^(1/2)*arcsin(20/11*x+1/11)-16*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-29400*(-10*x^2-x+3)^(1/2)*x+75684*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","A"
2545,1,198,90,0.016000," ","int((5*x+3)^(5/2)/(-2*x+1)^(3/2)/(3*x+2)^2,x)","-\frac{\left(51450 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-2028 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+8575 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-338 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+91644 \sqrt{-10 x^{2}-x +3}\, x -17150 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+676 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+60900 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{12348 \left(3 x +2\right) \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/12348*(51450*10^(1/2)*x^2*arcsin(20/11*x+1/11)-2028*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+8575*10^(1/2)*x*arcsin(20/11*x+1/11)-338*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-17150*10^(1/2)*arcsin(20/11*x+1/11)+676*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+91644*(-10*x^2-x+3)^(1/2)*x+60900*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","B"
2546,1,209,95,0.015000," ","int((5*x+3)^(5/2)/(-2*x+1)^(3/2)/(3*x+2)^3,x)","-\frac{\left(32670 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+27225 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+113540 \sqrt{-10 x^{2}-x +3}\, x^{2}-7260 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+161350 \sqrt{-10 x^{2}-x +3}\, x -7260 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+56952 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{19208 \left(3 x +2\right)^{2} \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/19208*(32670*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+27225*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-7260*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+113540*(-10*x^2-x+3)^(1/2)*x^2-7260*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+161350*(-10*x^2-x+3)^(1/2)*x+56952*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^2/(2*x-1)/(-10*x^2-x+3)^(1/2)","B"
2547,1,257,118,0.014000," ","int((5*x+3)^(5/2)/(-2*x+1)^(3/2)/(3*x+2)^4,x)","\frac{\left(98010 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+147015 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-345380 \sqrt{-10 x^{2}-x +3}\, x^{3}+32670 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-523670 \sqrt{-10 x^{2}-x +3}\, x^{2}-36300 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-247324 \sqrt{-10 x^{2}-x +3}\, x -14520 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-34272 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{38416 \left(3 x +2\right)^{3} \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"1/38416*(98010*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+147015*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+32670*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-345380*(-10*x^2-x+3)^(1/2)*x^3-36300*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-523670*(-10*x^2-x+3)^(1/2)*x^2-14520*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-247324*(-10*x^2-x+3)^(1/2)*x-34272*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^3/(2*x-1)/(-10*x^2-x+3)^(1/2)","B"
2548,1,305,141,0.017000," ","int((5*x+3)^(5/2)/(-2*x+1)^(3/2)/(3*x+2)^5,x)","\frac{\left(27344790 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+59247045 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-14041020 \sqrt{-10 x^{2}-x +3}\, x^{4}+36459720 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-36100610 \sqrt{-10 x^{2}-x +3}\, x^{3}-4051080 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-30578016 \sqrt{-10 x^{2}-x +3}\, x^{2}-10802880 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-9629592 \sqrt{-10 x^{2}-x +3}\, x -2700720 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-743904 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{2151296 \left(3 x +2\right)^{4} \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"1/2151296*(27344790*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+59247045*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+36459720*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-14041020*(-10*x^2-x+3)^(1/2)*x^4-4051080*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-36100610*(-10*x^2-x+3)^(1/2)*x^3-10802880*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-30578016*(-10*x^2-x+3)^(1/2)*x^2-2700720*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-9629592*(-10*x^2-x+3)^(1/2)*x-743904*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^4/(2*x-1)/(-10*x^2-x+3)^(1/2)","B"
2549,1,353,164,0.018000," ","int((5*x+3)^(5/2)/(-2*x+1)^(3/2)/(3*x+2)^6,x)","\frac{\left(8442483390 \sqrt{7}\, x^{6} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+23920369605 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1613232180 \sqrt{-10 x^{2}-x +3}\, x^{5}+23451342750 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2520250110 \sqrt{-10 x^{2}-x +3}\, x^{4}+6253691400 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-276344796 \sqrt{-10 x^{2}-x +3}\, x^{3}-4169127600 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-2308864376 \sqrt{-10 x^{2}-x +3}\, x^{2}-3057360240 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-1334639152 \sqrt{-10 x^{2}-x +3}\, x -555883680 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-230384448 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{150590720 \left(3 x +2\right)^{5} \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"1/150590720*(8442483390*7^(1/2)*x^6*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+23920369605*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+23451342750*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1613232180*(-10*x^2-x+3)^(1/2)*x^5+6253691400*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2520250110*(-10*x^2-x+3)^(1/2)*x^4-4169127600*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-276344796*(-10*x^2-x+3)^(1/2)*x^3-3057360240*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-2308864376*(-10*x^2-x+3)^(1/2)*x^2-555883680*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-1334639152*(-10*x^2-x+3)^(1/2)*x-230384448*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^5/(2*x-1)/(-10*x^2-x+3)^(1/2)","B"
2550,1,140,109,0.013000," ","int((3*x+2)^5/(-2*x+1)^(3/2)/(5*x+3)^(1/2),x)","-\frac{\left(-342144000 \sqrt{-10 x^{2}-x +3}\, x^{4}-1537747200 \sqrt{-10 x^{2}-x +3}\, x^{3}-3438784800 \sqrt{-10 x^{2}-x +3}\, x^{2}+6404115102 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-6642587160 \sqrt{-10 x^{2}-x +3}\, x -3202057551 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+9772832180 \sqrt{-10 x^{2}-x +3}\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{56320000 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/56320000*(-342144000*(-10*x^2-x+3)^(1/2)*x^4-1537747200*(-10*x^2-x+3)^(1/2)*x^3+6404115102*10^(1/2)*x*arcsin(20/11*x+1/11)-3438784800*(-10*x^2-x+3)^(1/2)*x^2-3202057551*10^(1/2)*arcsin(20/11*x+1/11)-6642587160*(-10*x^2-x+3)^(1/2)*x+9772832180*(-10*x^2-x+3)^(1/2))*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","A"
2551,1,123,86,0.015000," ","int((3*x+2)^4/(-2*x+1)^(3/2)/(5*x+3)^(1/2),x)","-\frac{\left(-380160 \sqrt{-10 x^{2}-x +3}\, x^{3}-1568160 \sqrt{-10 x^{2}-x +3}\, x^{2}+4062102 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-3932280 \sqrt{-10 x^{2}-x +3}\, x -2031051 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+6247300 \sqrt{-10 x^{2}-x +3}\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{140800 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/140800*(-380160*(-10*x^2-x+3)^(1/2)*x^3+4062102*10^(1/2)*x*arcsin(20/11*x+1/11)-1568160*(-10*x^2-x+3)^(1/2)*x^2-2031051*10^(1/2)*arcsin(20/11*x+1/11)-3932280*(-10*x^2-x+3)^(1/2)*x+6247300*(-10*x^2-x+3)^(1/2))*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","A"
2552,1,106,63,0.015000," ","int((3*x+2)^3/(-2*x+1)^(3/2)/(5*x+3)^(1/2),x)","-\frac{\left(-237600 \sqrt{-10 x^{2}-x +3}\, x^{2}+1241262 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-1033560 \sqrt{-10 x^{2}-x +3}\, x -620631 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+1948180 \sqrt{-10 x^{2}-x +3}\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{176000 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/176000*(1241262*10^(1/2)*x*arcsin(20/11*x+1/11)-237600*(-10*x^2-x+3)^(1/2)*x^2-620631*10^(1/2)*arcsin(20/11*x+1/11)-1033560*(-10*x^2-x+3)^(1/2)*x+1948180*(-10*x^2-x+3)^(1/2))*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","A"
2553,1,89,51,0.014000," ","int((3*x+2)^2/(-2*x+1)^(3/2)/(5*x+3)^(1/2),x)","-\frac{\left(7062 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-3960 \sqrt{-10 x^{2}-x +3}\, x -3531 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+11780 \sqrt{-10 x^{2}-x +3}\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{4400 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/4400*(7062*10^(1/2)*x*arcsin(20/11*x+1/11)-3531*10^(1/2)*arcsin(20/11*x+1/11)-3960*(-10*x^2-x+3)^(1/2)*x+11780*(-10*x^2-x+3)^(1/2))*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","A"
2554,1,74,35,0.014000," ","int((3*x+2)/(-2*x+1)^(3/2)/(5*x+3)^(1/2),x)","-\frac{\left(66 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-33 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+140 \sqrt{-10 x^{2}-x +3}\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{220 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/220*(66*10^(1/2)*x*arcsin(20/11*x+1/11)-33*10^(1/2)*arcsin(20/11*x+1/11)+140*(-10*x^2-x+3)^(1/2))*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","B"
2555,1,17,16,0.003000," ","int(1/(-2*x+1)^(3/2)/(5*x+3)^(1/2),x)","\frac{2 \sqrt{5 x +3}}{11 \sqrt{-2 x +1}}"," ",0,"2/11*(5*x+3)^(1/2)/(-2*x+1)^(1/2)","A"
2556,1,108,42,0.014000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)/(5*x+3)^(1/2),x)","\frac{\left(66 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-33 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-28 \sqrt{-10 x^{2}-x +3}\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{539 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"1/539*(66*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-33*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-28*(-10*x^2-x+3)^(1/2))*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","B"
2557,1,161,65,0.015000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^2/(5*x+3)^(1/2),x)","\frac{\left(8118 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1353 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2436 \sqrt{-10 x^{2}-x +3}\, x -2706 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-1610 \sqrt{-10 x^{2}-x +3}\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{7546 \left(3 x +2\right) \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"1/7546*(8118*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1353*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-2706*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2436*(-10*x^2-x+3)^(1/2)*x-1610*(-10*x^2-x+3)^(1/2))*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(3*x+2)/(2*x-1)/(-10*x^2-x+3)^(1/2)","B"
2558,1,209,88,0.017000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^3/(5*x+3)^(1/2),x)","\frac{\left(2468070 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2056725 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+981540 \sqrt{-10 x^{2}-x +3}\, x^{2}-548460 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+192990 \sqrt{-10 x^{2}-x +3}\, x -548460 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-352856 \sqrt{-10 x^{2}-x +3}\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{211288 \left(3 x +2\right)^{2} \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"1/211288*(2468070*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2056725*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-548460*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+981540*(-10*x^2-x+3)^(1/2)*x^2-548460*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+192990*(-10*x^2-x+3)^(1/2)*x-352856*(-10*x^2-x+3)^(1/2))*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(3*x+2)^2/(2*x-1)/(-10*x^2-x+3)^(1/2)","B"
2559,1,257,111,0.018000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^4/(5*x+3)^(1/2),x)","\frac{\left(60792930 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+91189395 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+24747660 \sqrt{-10 x^{2}-x +3}\, x^{3}+20264310 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+21699090 \sqrt{-10 x^{2}-x +3}\, x^{2}-22515900 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-5287212 \sqrt{-10 x^{2}-x +3}\, x -9006360 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-5896576 \sqrt{-10 x^{2}-x +3}\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{422576 \left(3 x +2\right)^{3} \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"1/422576*(60792930*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+91189395*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+20264310*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+24747660*(-10*x^2-x+3)^(1/2)*x^3-22515900*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+21699090*(-10*x^2-x+3)^(1/2)*x^2-9006360*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-5287212*(-10*x^2-x+3)^(1/2)*x-5896576*(-10*x^2-x+3)^(1/2))*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(3*x+2)^3/(2*x-1)/(-10*x^2-x+3)^(1/2)","B"
2560,1,305,134,0.017000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^5/(5*x+3)^(1/2),x)","\frac{\left(44411600970 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+96225135435 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+18112486140 \sqrt{-10 x^{2}-x +3}\, x^{4}+59215467960 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+27975388770 \sqrt{-10 x^{2}-x +3}\, x^{3}-6579496440 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+6751497312 \sqrt{-10 x^{2}-x +3}\, x^{2}-17545323840 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-6879502056 \sqrt{-10 x^{2}-x +3}\, x -4386330960 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-2878306592 \sqrt{-10 x^{2}-x +3}\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{23664256 \left(3 x +2\right)^{4} \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}}"," ",0,"1/23664256*(44411600970*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+96225135435*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+59215467960*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+18112486140*(-10*x^2-x+3)^(1/2)*x^4-6579496440*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+27975388770*(-10*x^2-x+3)^(1/2)*x^3-17545323840*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+6751497312*(-10*x^2-x+3)^(1/2)*x^2-4386330960*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-6879502056*(-10*x^2-x+3)^(1/2)*x-2878306592*(-10*x^2-x+3)^(1/2))*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(3*x+2)^4/(2*x-1)/(-10*x^2-x+3)^(1/2)","B"
2561,1,154,109,0.016000," ","int((3*x+2)^5/(-2*x+1)^(3/2)/(5*x+3)^(3/2),x)","-\frac{\sqrt{-2 x +1}\, \left(-313632000 \sqrt{-10 x^{2}-x +3}\, x^{4}-1513274400 \sqrt{-10 x^{2}-x +3}\, x^{3}+3522816990 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-4179799800 \sqrt{-10 x^{2}-x +3}\, x^{2}+352281699 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+3393405580 \sqrt{-10 x^{2}-x +3}\, x -1056845097 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+3254548460 \sqrt{-10 x^{2}-x +3}\right)}{38720000 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/38720000*(-2*x+1)^(1/2)*(-313632000*(-10*x^2-x+3)^(1/2)*x^4+3522816990*10^(1/2)*x^2*arcsin(20/11*x+1/11)-1513274400*(-10*x^2-x+3)^(1/2)*x^3+352281699*10^(1/2)*x*arcsin(20/11*x+1/11)-4179799800*(-10*x^2-x+3)^(1/2)*x^2-1056845097*10^(1/2)*arcsin(20/11*x+1/11)+3393405580*(-10*x^2-x+3)^(1/2)*x+3254548460*(-10*x^2-x+3)^(1/2))/(2*x-1)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","A"
2562,1,137,86,0.017000," ","int((3*x+2)^4/(-2*x+1)^(3/2)/(5*x+3)^(3/2),x)","-\frac{\sqrt{-2 x +1}\, \left(-7840800 \sqrt{-10 x^{2}-x +3}\, x^{3}+42895710 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-39857400 \sqrt{-10 x^{2}-x +3}\, x^{2}+4289571 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+46465420 \sqrt{-10 x^{2}-x +3}\, x -12868713 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+40533740 \sqrt{-10 x^{2}-x +3}\right)}{1936000 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/1936000*(-2*x+1)^(1/2)*(42895710*10^(1/2)*x^2*arcsin(20/11*x+1/11)-7840800*(-10*x^2-x+3)^(1/2)*x^3+4289571*10^(1/2)*x*arcsin(20/11*x+1/11)-39857400*(-10*x^2-x+3)^(1/2)*x^2-12868713*10^(1/2)*arcsin(20/11*x+1/11)+46465420*(-10*x^2-x+3)^(1/2)*x+40533740*(-10*x^2-x+3)^(1/2))/(2*x-1)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","A"
2563,1,120,63,0.016000," ","int((3*x+2)^3/(-2*x+1)^(3/2)/(5*x+3)^(3/2),x)","-\frac{\sqrt{-2 x +1}\, \left(1208790 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-653400 \sqrt{-10 x^{2}-x +3}\, x^{2}+120879 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+1649980 \sqrt{-10 x^{2}-x +3}\, x -362637 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+1224860 \sqrt{-10 x^{2}-x +3}\right)}{242000 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/242000*(-2*x+1)^(1/2)*(1208790*10^(1/2)*x^2*arcsin(20/11*x+1/11)+120879*10^(1/2)*x*arcsin(20/11*x+1/11)-653400*(-10*x^2-x+3)^(1/2)*x^2-362637*10^(1/2)*arcsin(20/11*x+1/11)+1649980*(-10*x^2-x+3)^(1/2)*x+1224860*(-10*x^2-x+3)^(1/2))/(2*x-1)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","A"
2564,1,103,51,0.015000," ","int((3*x+2)^2/(-2*x+1)^(3/2)/(5*x+3)^(3/2),x)","-\frac{\sqrt{-2 x +1}\, \left(10890 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+1089 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+24580 \sqrt{-10 x^{2}-x +3}\, x -3267 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+14660 \sqrt{-10 x^{2}-x +3}\right)}{12100 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/12100*(-2*x+1)^(1/2)*(10890*10^(1/2)*x^2*arcsin(20/11*x+1/11)+1089*10^(1/2)*x*arcsin(20/11*x+1/11)-3267*10^(1/2)*arcsin(20/11*x+1/11)+24580*(-10*x^2-x+3)^(1/2)*x+14660*(-10*x^2-x+3)^(1/2))/(2*x-1)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","A"
2565,1,22,33,0.004000," ","int((3*x+2)/(-2*x+1)^(3/2)/(5*x+3)^(3/2),x)","\frac{\frac{74 x}{121}+\frac{40}{121}}{\sqrt{-2 x +1}\, \sqrt{5 x +3}}"," ",0,"2/121*(37*x+20)/(5*x+3)^(1/2)/(-2*x+1)^(1/2)","A"
2566,1,22,33,0.004000," ","int(1/(-2*x+1)^(3/2)/(5*x+3)^(3/2),x)","\frac{\frac{40 x}{121}+\frac{2}{121}}{\sqrt{-2 x +1}\, \sqrt{5 x +3}}"," ",0,"2/121*(20*x+1)/(5*x+3)^(1/2)/(-2*x+1)^(1/2)","A"
2567,1,154,58,0.017000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)/(5*x+3)^(3/2),x)","-\frac{\sqrt{-2 x +1}\, \left(10890 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1089 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+5180 \sqrt{-10 x^{2}-x +3}\, x -3267 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-2282 \sqrt{-10 x^{2}-x +3}\right)}{5929 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/5929*(-2*x+1)^(1/2)*(10890*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1089*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-3267*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+5180*(-10*x^2-x+3)^(1/2)*x-2282*(-10*x^2-x+3)^(1/2))/(2*x-1)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2568,1,209,81,0.018000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^2/(5*x+3)^(3/2),x)","-\frac{\sqrt{-2 x +1}\, \left(3626370 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2780217 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1489740 \sqrt{-10 x^{2}-x +3}\, x^{2}-846153 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+221494 \sqrt{-10 x^{2}-x +3}\, x -725274 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-478870 \sqrt{-10 x^{2}-x +3}\right)}{83006 \left(3 x +2\right) \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/83006*(-2*x+1)^(1/2)*(3626370*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2780217*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-846153*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1489740*(-10*x^2-x+3)^(1/2)*x^2-725274*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+221494*(-10*x^2-x+3)^(1/2)*x-478870*(-10*x^2-x+3)^(1/2))/(3*x+2)/(2*x-1)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2569,1,257,104,0.020000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^3/(5*x+3)^(3/2),x)","-\frac{\sqrt{-2 x +1}\, \left(1930306950 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2766773295 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+787644900 \sqrt{-10 x^{2}-x +3}\, x^{3}+536196375 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+639170490 \sqrt{-10 x^{2}-x +3}\, x^{2}-686331360 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-178222310 \sqrt{-10 x^{2}-x +3}\, x -257374260 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-169016344 \sqrt{-10 x^{2}-x +3}\right)}{2324168 \left(3 x +2\right)^{2} \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/2324168*(-2*x+1)^(1/2)*(1930306950*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2766773295*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+536196375*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+787644900*(-10*x^2-x+3)^(1/2)*x^3-686331360*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+639170490*(-10*x^2-x+3)^(1/2)*x^2-257374260*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-178222310*(-10*x^2-x+3)^(1/2)*x-169016344*(-10*x^2-x+3)^(1/2))/(3*x+2)^2/(2*x-1)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2570,1,305,127,0.019000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^4/(5*x+3)^(3/2),x)","-\frac{\sqrt{-2 x +1}\, \left(67940041950 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+142674088095 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+27712710900 \sqrt{-10 x^{2}-x +3}\, x^{4}+83792718405 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+40958380890 \sqrt{-10 x^{2}-x +3}\, x^{3}-11574970110 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+8712560430 \sqrt{-10 x^{2}-x +3}\, x^{2}-25162978500 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-10131305548 \sqrt{-10 x^{2}-x +3}\, x -6039114840 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-3964087904 \sqrt{-10 x^{2}-x +3}\right)}{4648336 \left(3 x +2\right)^{3} \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/4648336*(-2*x+1)^(1/2)*(67940041950*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+142674088095*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+83792718405*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+27712710900*(-10*x^2-x+3)^(1/2)*x^4-11574970110*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+40958380890*(-10*x^2-x+3)^(1/2)*x^3-25162978500*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+8712560430*(-10*x^2-x+3)^(1/2)*x^2-6039114840*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-10131305548*(-10*x^2-x+3)^(1/2)*x-3964087904*(-10*x^2-x+3)^(1/2))/(3*x+2)^3/(2*x-1)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2571,1,168,109,0.018000," ","int((3*x+2)^5/(-2*x+1)^(3/2)/(5*x+3)^(5/2),x)","-\frac{\sqrt{-2 x +1}\, \left(-3881196000 \sqrt{-10 x^{2}-x +3}\, x^{4}+22225237650 \sqrt{10}\, x^{3} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-22575623400 \sqrt{-10 x^{2}-x +3}\, x^{3}+15557666355 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+12242129500 \sqrt{-10 x^{2}-x +3}\, x^{2}-5334057036 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+35717458880 \sqrt{-10 x^{2}-x +3}\, x -4000542777 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+12649970860 \sqrt{-10 x^{2}-x +3}\right)}{319440000 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"-1/319440000*(-2*x+1)^(1/2)*(22225237650*10^(1/2)*x^3*arcsin(20/11*x+1/11)-3881196000*(-10*x^2-x+3)^(1/2)*x^4+15557666355*10^(1/2)*x^2*arcsin(20/11*x+1/11)-22575623400*(-10*x^2-x+3)^(1/2)*x^3-5334057036*10^(1/2)*x*arcsin(20/11*x+1/11)+12242129500*(-10*x^2-x+3)^(1/2)*x^2-4000542777*10^(1/2)*arcsin(20/11*x+1/11)+35717458880*(-10*x^2-x+3)^(1/2)*x+12649970860*(-10*x^2-x+3)^(1/2))/(2*x-1)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","A"
2572,1,151,86,0.016000," ","int((3*x+2)^4/(-2*x+1)^(3/2)/(5*x+3)^(5/2),x)","-\frac{\sqrt{-2 x +1}\, \left(123982650 \sqrt{10}\, x^{3} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-64686600 \sqrt{-10 x^{2}-x +3}\, x^{3}+86787855 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+134924300 \sqrt{-10 x^{2}-x +3}\, x^{2}-29755836 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+231628480 \sqrt{-10 x^{2}-x +3}\, x -22316877 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+76431260 \sqrt{-10 x^{2}-x +3}\right)}{7986000 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"-1/7986000*(-2*x+1)^(1/2)*(123982650*10^(1/2)*x^3*arcsin(20/11*x+1/11)+86787855*10^(1/2)*x^2*arcsin(20/11*x+1/11)-64686600*(-10*x^2-x+3)^(1/2)*x^3-29755836*10^(1/2)*x*arcsin(20/11*x+1/11)+134924300*(-10*x^2-x+3)^(1/2)*x^2-22316877*10^(1/2)*arcsin(20/11*x+1/11)+231628480*(-10*x^2-x+3)^(1/2)*x+76431260*(-10*x^2-x+3)^(1/2))/(2*x-1)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","A"
2573,1,134,63,0.015000," ","int((3*x+2)^3/(-2*x+1)^(3/2)/(5*x+3)^(5/2),x)","-\frac{\sqrt{-2 x +1}\, \left(5390550 \sqrt{10}\, x^{3} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+3773385 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+12985300 \sqrt{-10 x^{2}-x +3}\, x^{2}-1293732 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+15448160 \sqrt{-10 x^{2}-x +3}\, x -970299 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+4593220 \sqrt{-10 x^{2}-x +3}\right)}{1996500 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"-1/1996500*(-2*x+1)^(1/2)*(5390550*10^(1/2)*x^3*arcsin(20/11*x+1/11)+3773385*10^(1/2)*x^2*arcsin(20/11*x+1/11)-1293732*10^(1/2)*x*arcsin(20/11*x+1/11)+12985300*(-10*x^2-x+3)^(1/2)*x^2-970299*10^(1/2)*arcsin(20/11*x+1/11)+15448160*(-10*x^2-x+3)^(1/2)*x+4593220*(-10*x^2-x+3)^(1/2))/(2*x-1)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","B"
2574,1,27,49,0.005000," ","int((3*x+2)^2/(-2*x+1)^(3/2)/(5*x+3)^(5/2),x)","\frac{\frac{8182}{3993} x^{2}+\frac{8912}{3993} x +\frac{2392}{3993}}{\left(5 x +3\right)^{\frac{3}{2}} \sqrt{-2 x +1}}"," ",0,"2/3993*(4091*x^2+4456*x+1196)/(5*x+3)^(3/2)/(-2*x+1)^(1/2)","A"
2575,1,27,49,0.001000," ","int((3*x+2)/(-2*x+1)^(3/2)/(5*x+3)^(5/2),x)","\frac{\frac{4280}{3993} x^{2}+\frac{2782}{3993} x +\frac{80}{3993}}{\left(5 x +3\right)^{\frac{3}{2}} \sqrt{-2 x +1}}"," ",0,"2/3993*(2140*x^2+1391*x+40)/(5*x+3)^(3/2)/(-2*x+1)^(1/2)","A"
2576,1,27,49,0.004000," ","int(1/(-2*x+1)^(3/2)/(5*x+3)^(5/2),x)","\frac{\frac{1600}{3993} x^{2}+\frac{1040}{3993} x -\frac{194}{3993}}{\left(5 x +3\right)^{\frac{3}{2}} \sqrt{-2 x +1}}"," ",0,"2/3993*(800*x^2+520*x-97)/(5*x+3)^(3/2)/(-2*x+1)^(1/2)","A"
2577,1,202,74,0.016000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)/(5*x+3)^(5/2),x)","\frac{\sqrt{-2 x +1}\, \left(5390550 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3773385 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2172100 \sqrt{-10 x^{2}-x +3}\, x^{2}-1293732 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+154070 \sqrt{-10 x^{2}-x +3}\, x -970299 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-630224 \sqrt{-10 x^{2}-x +3}\right)}{195657 \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/195657*(-2*x+1)^(1/2)*(5390550*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3773385*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-1293732*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2172100*(-10*x^2-x+3)^(1/2)*x^2-970299*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+154070*(-10*x^2-x+3)^(1/2)*x-630224*(-10*x^2-x+3)^(1/2))/(2*x-1)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","B"
2578,1,257,97,0.019000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^2/(5*x+3)^(5/2),x)","\frac{\sqrt{-2 x +1}\, \left(2927068650 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+4000327155 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1193562300 \sqrt{-10 x^{2}-x +3}\, x^{3}+663468894 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+888541010 \sqrt{-10 x^{2}-x +3}\, x^{2}-995203341 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-282034172 \sqrt{-10 x^{2}-x +3}\, x -351248238 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-230455750 \sqrt{-10 x^{2}-x +3}\right)}{2739198 \left(3 x +2\right) \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/2739198*(-2*x+1)^(1/2)*(2927068650*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+4000327155*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+663468894*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1193562300*(-10*x^2-x+3)^(1/2)*x^3-995203341*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+888541010*(-10*x^2-x+3)^(1/2)*x^2-351248238*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-282034172*(-10*x^2-x+3)^(1/2)*x-230455750*(-10*x^2-x+3)^(1/2))/(3*x+2)/(2*x-1)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","B"
2579,1,305,120,0.020000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^3/(5*x+3)^(5/2),x)","\frac{\sqrt{-2 x +1}\, \left(2184870773250 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+4442570572275 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+891180391500 \sqrt{-10 x^{2}-x +3}\, x^{4}+2485897413120 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1257704596050 \sqrt{-10 x^{2}-x +3}\, x^{3}-412697812725 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+231950722640 \sqrt{-10 x^{2}-x +3}\, x^{2}-757421868060 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-312356099510 \sqrt{-10 x^{2}-x +3}\, x -174789661860 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-114725464168 \sqrt{-10 x^{2}-x +3}\right)}{76697544 \left(3 x +2\right)^{2} \left(2 x -1\right) \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/76697544*(-2*x+1)^(1/2)*(2184870773250*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+4442570572275*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2485897413120*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+891180391500*(-10*x^2-x+3)^(1/2)*x^4-412697812725*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1257704596050*(-10*x^2-x+3)^(1/2)*x^3-757421868060*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+231950722640*(-10*x^2-x+3)^(1/2)*x^2-174789661860*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-312356099510*(-10*x^2-x+3)^(1/2)*x-114725464168*(-10*x^2-x+3)^(1/2))/(3*x+2)^2/(2*x-1)/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","B"
2580,1,154,109,0.017000," ","int((3*x+2)^4*(5*x+3)^(1/2)/(-2*x+1)^(5/2),x)","\frac{\left(-57024000 \sqrt{-10 x^{2}-x +3}\, x^{4}-300801600 \sqrt{-10 x^{2}-x +3}\, x^{3}+1748505132 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-1054017360 \sqrt{-10 x^{2}-x +3}\, x^{2}-1748505132 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+3673458560 \sqrt{-10 x^{2}-x +3}\, x +437126283 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-1320772740 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{4224000 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/4224000*(-57024000*(-10*x^2-x+3)^(1/2)*x^4+1748505132*10^(1/2)*x^2*arcsin(20/11*x+1/11)-300801600*(-10*x^2-x+3)^(1/2)*x^3-1748505132*10^(1/2)*x*arcsin(20/11*x+1/11)-1054017360*(-10*x^2-x+3)^(1/2)*x^2+437126283*10^(1/2)*arcsin(20/11*x+1/11)+3673458560*(-10*x^2-x+3)^(1/2)*x-1320772740*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","A"
2581,1,137,86,0.015000," ","int((3*x+2)^3*(5*x+3)^(1/2)/(-2*x+1)^(5/2),x)","\frac{\left(-1425600 \sqrt{-10 x^{2}-x +3}\, x^{3}+16699716 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-8624880 \sqrt{-10 x^{2}-x +3}\, x^{2}-16699716 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+35722880 \sqrt{-10 x^{2}-x +3}\, x +4174929 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-12508620 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{211200 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/211200*(16699716*10^(1/2)*x^2*arcsin(20/11*x+1/11)-1425600*(-10*x^2-x+3)^(1/2)*x^3-16699716*10^(1/2)*x*arcsin(20/11*x+1/11)-8624880*(-10*x^2-x+3)^(1/2)*x^2+4174929*10^(1/2)*arcsin(20/11*x+1/11)+35722880*(-10*x^2-x+3)^(1/2)*x-12508620*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","A"
2582,1,120,67,0.012000," ","int((3*x+2)^2*(5*x+3)^(1/2)/(-2*x+1)^(5/2),x)","\frac{\left(68508 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-23760 \sqrt{-10 x^{2}-x +3}\, x^{2}-68508 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+154240 \sqrt{-10 x^{2}-x +3}\, x +17127 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-49620 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{5280 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/5280*(68508*10^(1/2)*x^2*arcsin(20/11*x+1/11)-68508*10^(1/2)*x*arcsin(20/11*x+1/11)-23760*(-10*x^2-x+3)^(1/2)*x^2+17127*10^(1/2)*arcsin(20/11*x+1/11)+154240*(-10*x^2-x+3)^(1/2)*x-49620*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","A"
2583,1,103,51,0.013000," ","int((3*x+2)*(5*x+3)^(1/2)/(-2*x+1)^(5/2),x)","\frac{\left(396 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-396 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+1072 \sqrt{-10 x^{2}-x +3}\, x +99 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-228 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{264 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/264*(396*10^(1/2)*x^2*arcsin(20/11*x+1/11)-396*10^(1/2)*x*arcsin(20/11*x+1/11)+99*10^(1/2)*arcsin(20/11*x+1/11)+1072*(-10*x^2-x+3)^(1/2)*x-228*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","A"
2584,1,17,16,0.003000," ","int((5*x+3)^(1/2)/(-2*x+1)^(5/2),x)","\frac{2 \left(5 x +3\right)^{\frac{3}{2}}}{33 \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"2/33*(5*x+3)^(3/2)/(-2*x+1)^(3/2)","A"
2585,1,154,58,0.016000," ","int((5*x+3)^(1/2)/(-2*x+1)^(5/2)/(3*x+2),x)","-\frac{\left(396 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-396 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1792 \sqrt{-10 x^{2}-x +3}\, x +99 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-1974 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{11319 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/11319*(396*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-396*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+99*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1792*(-10*x^2-x+3)^(1/2)*x-1974*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","B"
2586,1,209,88,0.016000," ","int((5*x+3)^(1/2)/(-2*x+1)^(5/2)/(3*x+2)^2,x)","\frac{\left(29700 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-9900 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-71400 \sqrt{-10 x^{2}-x +3}\, x^{2}-12375 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+20440 \sqrt{-10 x^{2}-x +3}\, x +4950 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+22722 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{158466 \left(3 x +2\right) \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/158466*(29700*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-9900*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-12375*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-71400*(-10*x^2-x+3)^(1/2)*x^2+4950*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+20440*(-10*x^2-x+3)^(1/2)*x+22722*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","B"
2587,1,257,111,0.017000," ","int((5*x+3)^(1/2)/(-2*x+1)^(5/2)/(3*x+2)^3,x)","\frac{\left(908820 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+302940 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-209160 \sqrt{-10 x^{2}-x +3}\, x^{3}-580635 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-271320 \sqrt{-10 x^{2}-x +3}\, x^{2}-100980 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+120862 \sqrt{-10 x^{2}-x +3}\, x +100980 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+93912 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{633864 \left(3 x +2\right)^{2} \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/633864*(908820*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+302940*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-580635*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-209160*(-10*x^2-x+3)^(1/2)*x^3-100980*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-271320*(-10*x^2-x+3)^(1/2)*x^2+100980*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+120862*(-10*x^2-x+3)^(1/2)*x+93912*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^2/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","B"
2588,1,305,134,0.017000," ","int((5*x+3)^(1/2)/(-2*x+1)^(5/2)/(3*x+2)^4,x)","\frac{\left(90400860 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+90400860 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+25681320 \sqrt{-10 x^{2}-x +3}\, x^{4}-37667025 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3303720 \sqrt{-10 x^{2}-x +3}\, x^{3}-48548610 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-20516454 \sqrt{-10 x^{2}-x +3}\, x^{2}+3348180 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-553420 \sqrt{-10 x^{2}-x +3}\, x +6696360 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+4232928 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{8874096 \left(3 x +2\right)^{3} \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/8874096*(90400860*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+90400860*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-37667025*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+25681320*(-10*x^2-x+3)^(1/2)*x^4-48548610*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3303720*(-10*x^2-x+3)^(1/2)*x^3+3348180*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-20516454*(-10*x^2-x+3)^(1/2)*x^2+6696360*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-553420*(-10*x^2-x+3)^(1/2)*x+4232928*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^3/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","B"
2589,1,171,125,0.014000," ","int((3*x+2)^4*(5*x+3)^(3/2)/(-2*x+1)^(5/2),x)","\frac{\left(-311040000 \sqrt{-10 x^{2}-x +3}\, x^{5}-1670976000 \sqrt{-10 x^{2}-x +3}\, x^{4}-4733380800 \sqrt{-10 x^{2}-x +3}\, x^{3}+19514538276 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-12678810480 \sqrt{-10 x^{2}-x +3}\, x^{2}-19514538276 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+40694078080 \sqrt{-10 x^{2}-x +3}\, x +4878634569 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-14781203820 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{6144000 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/6144000*(-311040000*(-10*x^2-x+3)^(1/2)*x^5-1670976000*(-10*x^2-x+3)^(1/2)*x^4+19514538276*10^(1/2)*x^2*arcsin(20/11*x+1/11)-4733380800*(-10*x^2-x+3)^(1/2)*x^3-19514538276*10^(1/2)*x*arcsin(20/11*x+1/11)-12678810480*(-10*x^2-x+3)^(1/2)*x^2+4878634569*10^(1/2)*arcsin(20/11*x+1/11)+40694078080*(-10*x^2-x+3)^(1/2)*x-14781203820*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","A"
2590,1,154,102,0.015000," ","int((3*x+2)^3*(5*x+3)^(3/2)/(-2*x+1)^(5/2),x)","\frac{\left(-1728000 \sqrt{-10 x^{2}-x +3}\, x^{4}-8942400 \sqrt{-10 x^{2}-x +3}\, x^{3}+50960796 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-30894480 \sqrt{-10 x^{2}-x +3}\, x^{2}-50960796 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+106986880 \sqrt{-10 x^{2}-x +3}\, x +12740199 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-38507220 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{76800 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/76800*(-1728000*(-10*x^2-x+3)^(1/2)*x^4+50960796*10^(1/2)*x^2*arcsin(20/11*x+1/11)-8942400*(-10*x^2-x+3)^(1/2)*x^3-50960796*10^(1/2)*x*arcsin(20/11*x+1/11)-30894480*(-10*x^2-x+3)^(1/2)*x^2+12740199*10^(1/2)*arcsin(20/11*x+1/11)+106986880*(-10*x^2-x+3)^(1/2)*x-38507220*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","A"
2591,1,137,83,0.015000," ","int((3*x+2)^2*(5*x+3)^(3/2)/(-2*x+1)^(5/2),x)","\frac{\left(-43200 \sqrt{-10 x^{2}-x +3}\, x^{3}+489444 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-255600 \sqrt{-10 x^{2}-x +3}\, x^{2}-489444 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+1045120 \sqrt{-10 x^{2}-x +3}\, x +122361 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-367020 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{3840 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/3840*(489444*10^(1/2)*x^2*arcsin(20/11*x+1/11)-43200*(-10*x^2-x+3)^(1/2)*x^3-489444*10^(1/2)*x*arcsin(20/11*x+1/11)-255600*(-10*x^2-x+3)^(1/2)*x^2+122361*10^(1/2)*arcsin(20/11*x+1/11)+1045120*(-10*x^2-x+3)^(1/2)*x-367020*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","A"
2592,1,120,67,0.011000," ","int((3*x+2)*(5*x+3)^(3/2)/(-2*x+1)^(5/2),x)","\frac{\left(2028 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-720 \sqrt{-10 x^{2}-x +3}\, x^{2}-2028 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+4544 \sqrt{-10 x^{2}-x +3}\, x +507 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-1476 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{96 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/96*(2028*10^(1/2)*x^2*arcsin(20/11*x+1/11)-2028*10^(1/2)*x*arcsin(20/11*x+1/11)-720*(-10*x^2-x+3)^(1/2)*x^2+507*10^(1/2)*arcsin(20/11*x+1/11)+4544*(-10*x^2-x+3)^(1/2)*x-1476*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","A"
2593,0,0,51,0.201000," ","int((5*x+3)^(3/2)/(-2*x+1)^(5/2),x)","\int \frac{\left(5 x +3\right)^{\frac{3}{2}}}{\left(-2 x +1\right)^{\frac{5}{2}}}\, dx"," ",0,"int((5*x+3)^(3/2)/(-2*x+1)^(5/2),x)","F"
2594,1,154,58,0.013000," ","int((5*x+3)^(3/2)/(-2*x+1)^(5/2)/(3*x+2),x)","\frac{\left(12 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-12 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+574 \sqrt{-10 x^{2}-x +3}\, x +3 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+252 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{1029 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/1029*(12*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-12*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+574*(-10*x^2-x+3)^(1/2)*x+252*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","B"
2595,1,209,95,0.014000," ","int((5*x+3)^(3/2)/(-2*x+1)^(5/2)/(3*x+2)^2,x)","-\frac{\left(3420 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-1140 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+9240 \sqrt{-10 x^{2}-x +3}\, x^{2}-1425 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-4340 \sqrt{-10 x^{2}-x +3}\, x +570 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-7686 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{14406 \left(3 x +2\right) \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/14406*(3420*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-1140*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-1425*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+9240*(-10*x^2-x+3)^(1/2)*x^2+570*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-4340*(-10*x^2-x+3)^(1/2)*x-7686*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","B"
2596,1,257,111,0.016000," ","int((5*x+3)^(3/2)/(-2*x+1)^(5/2)/(3*x+2)^3,x)","\frac{\left(540 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+180 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-2520 \sqrt{-10 x^{2}-x +3}\, x^{3}-345 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-840 \sqrt{-10 x^{2}-x +3}\, x^{2}-60 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1274 \sqrt{-10 x^{2}-x +3}\, x +60 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+504 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{1176 \left(3 x +2\right)^{2} \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/1176*(540*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+180*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-345*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-2520*(-10*x^2-x+3)^(1/2)*x^3-60*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-840*(-10*x^2-x+3)^(1/2)*x^2+60*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1274*(-10*x^2-x+3)^(1/2)*x+504*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^2/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","B"
2597,1,305,134,0.016000," ","int((5*x+3)^(3/2)/(-2*x+1)^(5/2)/(3*x+2)^4,x)","\frac{\left(3043980 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+3043980 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-2109240 \sqrt{-10 x^{2}-x +3}\, x^{4}-1268325 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-2714040 \sqrt{-10 x^{2}-x +3}\, x^{3}-1634730 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+239778 \sqrt{-10 x^{2}-x +3}\, x^{2}+112740 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1127140 \sqrt{-10 x^{2}-x +3}\, x +225480 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+270144 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{806736 \left(3 x +2\right)^{3} \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/806736*(3043980*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3043980*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-1268325*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-2109240*(-10*x^2-x+3)^(1/2)*x^4-1634730*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-2714040*(-10*x^2-x+3)^(1/2)*x^3+112740*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+239778*(-10*x^2-x+3)^(1/2)*x^2+225480*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1127140*(-10*x^2-x+3)^(1/2)*x+270144*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^3/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","B"
2598,1,188,141,0.015000," ","int((3*x+2)^4*(5*x+3)^(5/2)/(-2*x+1)^(5/2),x)","\frac{\left(-4976640000 \sqrt{-10 x^{2}-x +3}\, x^{6}-28470528000 \sqrt{-10 x^{2}-x +3}\, x^{5}-80044070400 \sqrt{-10 x^{2}-x +3}\, x^{4}-164353896000 \sqrt{-10 x^{2}-x +3}\, x^{3}+563711011116 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-379749395280 \sqrt{-10 x^{2}-x +3}\, x^{2}-563711011116 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+1172001220480 \sqrt{-10 x^{2}-x +3}\, x +140927752779 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-427362118020 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{24576000 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/24576000*(-4976640000*(-10*x^2-x+3)^(1/2)*x^6-28470528000*(-10*x^2-x+3)^(1/2)*x^5-80044070400*(-10*x^2-x+3)^(1/2)*x^4+563711011116*10^(1/2)*x^2*arcsin(20/11*x+1/11)-164353896000*(-10*x^2-x+3)^(1/2)*x^3-563711011116*10^(1/2)*x*arcsin(20/11*x+1/11)-379749395280*(-10*x^2-x+3)^(1/2)*x^2+140927752779*10^(1/2)*arcsin(20/11*x+1/11)+1172001220480*(-10*x^2-x+3)^(1/2)*x-427362118020*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","A"
2599,1,171,118,0.015000," ","int((3*x+2)^3*(5*x+3)^(5/2)/(-2*x+1)^(5/2),x)","\frac{\left(-20736000 \sqrt{-10 x^{2}-x +3}\, x^{5}-109555200 \sqrt{-10 x^{2}-x +3}\, x^{4}-306020160 \sqrt{-10 x^{2}-x +3}\, x^{3}+1246611036 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-812299920 \sqrt{-10 x^{2}-x +3}\, x^{2}-1246611036 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+2598819200 \sqrt{-10 x^{2}-x +3}\, x +311652759 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-944339220 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{245760 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/245760*(-20736000*(-10*x^2-x+3)^(1/2)*x^5-109555200*(-10*x^2-x+3)^(1/2)*x^4+1246611036*10^(1/2)*x^2*arcsin(20/11*x+1/11)-306020160*(-10*x^2-x+3)^(1/2)*x^3-1246611036*10^(1/2)*x*arcsin(20/11*x+1/11)-812299920*(-10*x^2-x+3)^(1/2)*x^2+311652759*10^(1/2)*arcsin(20/11*x+1/11)+2598819200*(-10*x^2-x+3)^(1/2)*x-944339220*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","A"
2600,1,154,99,0.014000," ","int((3*x+2)^2*(5*x+3)^(5/2)/(-2*x+1)^(5/2),x)","\frac{\left(-115200 \sqrt{-10 x^{2}-x +3}\, x^{4}-584640 \sqrt{-10 x^{2}-x +3}\, x^{3}+3266868 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-1991472 \sqrt{-10 x^{2}-x +3}\, x^{2}-3266868 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+6853760 \sqrt{-10 x^{2}-x +3}\, x +816717 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-2469276 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{3072 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/3072*(-115200*(-10*x^2-x+3)^(1/2)*x^4+3266868*10^(1/2)*x^2*arcsin(20/11*x+1/11)-584640*(-10*x^2-x+3)^(1/2)*x^3-3266868*10^(1/2)*x*arcsin(20/11*x+1/11)-1991472*(-10*x^2-x+3)^(1/2)*x^2+816717*10^(1/2)*arcsin(20/11*x+1/11)+6853760*(-10*x^2-x+3)^(1/2)*x-2469276*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","A"
2601,1,137,83,0.013000," ","int((3*x+2)*(5*x+3)^(5/2)/(-2*x+1)^(5/2),x)","\frac{\left(-14400 \sqrt{-10 x^{2}-x +3}\, x^{3}+157740 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-83280 \sqrt{-10 x^{2}-x +3}\, x^{2}-157740 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+336256 \sqrt{-10 x^{2}-x +3}\, x +39435 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-118404 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{768 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/768*(157740*10^(1/2)*x^2*arcsin(20/11*x+1/11)-14400*(-10*x^2-x+3)^(1/2)*x^3-157740*10^(1/2)*x*arcsin(20/11*x+1/11)-83280*(-10*x^2-x+3)^(1/2)*x^2+39435*10^(1/2)*arcsin(20/11*x+1/11)+336256*(-10*x^2-x+3)^(1/2)*x-118404*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","A"
2602,0,0,67,0.204000," ","int((5*x+3)^(5/2)/(-2*x+1)^(5/2),x)","\int \frac{\left(5 x +3\right)^{\frac{5}{2}}}{\left(-2 x +1\right)^{\frac{5}{2}}}\, dx"," ",0,"int((5*x+3)^(5/2)/(-2*x+1)^(5/2),x)","F"
2603,1,191,76,0.016000," ","int((5*x+3)^(5/2)/(-2*x+1)^(5/2)/(3*x+2),x)","\frac{\left(34300 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-32 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-34300 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+32 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+89936 \sqrt{-10 x^{2}-x +3}\, x +8575 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-8 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-21252 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{8232 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/8232*(34300*10^(1/2)*x^2*arcsin(20/11*x+1/11)-32*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-34300*10^(1/2)*x*arcsin(20/11*x+1/11)+32*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+8575*10^(1/2)*arcsin(20/11*x+1/11)-8*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+89936*(-10*x^2-x+3)^(1/2)*x-21252*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","B"
2604,1,209,95,0.016000," ","int((5*x+3)^(5/2)/(-2*x+1)^(5/2)/(3*x+2)^2,x)","\frac{\left(1980 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-660 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+43260 \sqrt{-10 x^{2}-x +3}\, x^{2}-825 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+42980 \sqrt{-10 x^{2}-x +3}\, x +330 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+9198 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{14406 \left(3 x +2\right) \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/14406*(1980*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-660*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-825*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+43260*(-10*x^2-x+3)^(1/2)*x^2+330*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+42980*(-10*x^2-x+3)^(1/2)*x+9198*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","B"
2605,1,257,118,0.018000," ","int((5*x+3)^(5/2)/(-2*x+1)^(5/2)/(3*x+2)^3,x)","-\frac{\left(77220 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+25740 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+143640 \sqrt{-10 x^{2}-x +3}\, x^{3}-49335 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+22680 \sqrt{-10 x^{2}-x +3}\, x^{2}-8580 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-190778 \sqrt{-10 x^{2}-x +3}\, x +8580 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-94248 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{57624 \left(3 x +2\right)^{2} \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"-1/57624*(77220*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+25740*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-49335*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+143640*(-10*x^2-x+3)^(1/2)*x^3-8580*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+22680*(-10*x^2-x+3)^(1/2)*x^2+8580*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-190778*(-10*x^2-x+3)^(1/2)*x-94248*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^2/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","B"
2606,1,305,134,0.017000," ","int((5*x+3)^(5/2)/(-2*x+1)^(5/2)/(3*x+2)^4,x)","\frac{\left(837540 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+837540 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-7940520 \sqrt{-10 x^{2}-x +3}\, x^{4}-348975 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-7738920 \sqrt{-10 x^{2}-x +3}\, x^{3}-449790 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2369094 \sqrt{-10 x^{2}-x +3}\, x^{2}+31020 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+4266220 \sqrt{-10 x^{2}-x +3}\, x +62040 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1062432 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{806736 \left(3 x +2\right)^{3} \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/806736*(837540*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+837540*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-348975*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-7940520*(-10*x^2-x+3)^(1/2)*x^4-449790*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-7738920*(-10*x^2-x+3)^(1/2)*x^3+31020*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2369094*(-10*x^2-x+3)^(1/2)*x^2+62040*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+4266220*(-10*x^2-x+3)^(1/2)*x+1062432*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^3/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","B"
2607,1,353,157,0.016000," ","int((5*x+3)^(5/2)/(-2*x+1)^(5/2)/(3*x+2)^5,x)","\frac{\left(532408140 \sqrt{7}\, x^{6} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+887346900 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-633883320 \sqrt{-10 x^{2}-x +3}\, x^{5}+133102035 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-1149006600 \sqrt{-10 x^{2}-x +3}\, x^{4}-433814040 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-359427726 \sqrt{-10 x^{2}-x +3}\, x^{3}-170896440 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+382459056 \sqrt{-10 x^{2}-x +3}\, x^{2}+52583520 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+260791832 \sqrt{-10 x^{2}-x +3}\, x +26291760 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+40692960 \sqrt{-10 x^{2}-x +3}\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{45177216 \left(3 x +2\right)^{4} \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/45177216*(532408140*7^(1/2)*x^6*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+887346900*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+133102035*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-633883320*(-10*x^2-x+3)^(1/2)*x^5-433814040*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-1149006600*(-10*x^2-x+3)^(1/2)*x^4-170896440*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-359427726*(-10*x^2-x+3)^(1/2)*x^3+52583520*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+382459056*(-10*x^2-x+3)^(1/2)*x^2+26291760*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+260791832*(-10*x^2-x+3)^(1/2)*x+40692960*(-10*x^2-x+3)^(1/2))*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^4/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","B"
2608,1,154,109,0.017000," ","int((3*x+2)^5/(-2*x+1)^(5/2)/(5*x+3)^(1/2),x)","\frac{\left(-376358400 \sqrt{-10 x^{2}-x +3}\, x^{4}-2022926400 \sqrt{-10 x^{2}-x +3}\, x^{3}+11995809804 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-7189229520 \sqrt{-10 x^{2}-x +3}\, x^{2}-11995809804 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+25221403520 \sqrt{-10 x^{2}-x +3}\, x +2998952451 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-9057990180 \sqrt{-10 x^{2}-x +3}\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{46464000 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/46464000*(-376358400*(-10*x^2-x+3)^(1/2)*x^4+11995809804*10^(1/2)*x^2*arcsin(20/11*x+1/11)-2022926400*(-10*x^2-x+3)^(1/2)*x^3-11995809804*10^(1/2)*x*arcsin(20/11*x+1/11)-7189229520*(-10*x^2-x+3)^(1/2)*x^2+2998952451*10^(1/2)*arcsin(20/11*x+1/11)+25221403520*(-10*x^2-x+3)^(1/2)*x-9057990180*(-10*x^2-x+3)^(1/2))*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","A"
2609,1,137,86,0.015000," ","int((3*x+2)^4/(-2*x+1)^(5/2)/(5*x+3)^(1/2),x)","\frac{\left(-47044800 \sqrt{-10 x^{2}-x +3}\, x^{3}+569594916 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-290893680 \sqrt{-10 x^{2}-x +3}\, x^{2}-569594916 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+1220721280 \sqrt{-10 x^{2}-x +3}\, x +142398729 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-426112620 \sqrt{-10 x^{2}-x +3}\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{11616000 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/11616000*(569594916*10^(1/2)*x^2*arcsin(20/11*x+1/11)-47044800*(-10*x^2-x+3)^(1/2)*x^3-569594916*10^(1/2)*x*arcsin(20/11*x+1/11)-290893680*(-10*x^2-x+3)^(1/2)*x^2+142398729*10^(1/2)*arcsin(20/11*x+1/11)+1220721280*(-10*x^2-x+3)^(1/2)*x-426112620*(-10*x^2-x+3)^(1/2))*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","A"
2610,1,120,63,0.015000," ","int((3*x+2)^3/(-2*x+1)^(5/2)/(5*x+3)^(1/2),x)","\frac{\left(2313036 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-784080 \sqrt{-10 x^{2}-x +3}\, x^{2}-2313036 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+5233280 \sqrt{-10 x^{2}-x +3}\, x +578259 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-1666020 \sqrt{-10 x^{2}-x +3}\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{290400 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/290400*(2313036*10^(1/2)*x^2*arcsin(20/11*x+1/11)-2313036*10^(1/2)*x*arcsin(20/11*x+1/11)-784080*(-10*x^2-x+3)^(1/2)*x^2+578259*10^(1/2)*arcsin(20/11*x+1/11)+5233280*(-10*x^2-x+3)^(1/2)*x-1666020*(-10*x^2-x+3)^(1/2))*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","A"
2611,1,103,51,0.014000," ","int((3*x+2)^2/(-2*x+1)^(5/2)/(5*x+3)^(1/2),x)","\frac{\left(13068 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-13068 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+35840 \sqrt{-10 x^{2}-x +3}\, x +3267 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-7140 \sqrt{-10 x^{2}-x +3}\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{14520 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/14520*(13068*10^(1/2)*x^2*arcsin(20/11*x+1/11)-13068*10^(1/2)*x*arcsin(20/11*x+1/11)+3267*10^(1/2)*arcsin(20/11*x+1/11)+35840*(-10*x^2-x+3)^(1/2)*x-7140*(-10*x^2-x+3)^(1/2))*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","A"
2612,1,22,33,0.004000," ","int((3*x+2)/(-2*x+1)^(5/2)/(5*x+3)^(1/2),x)","\frac{2 \sqrt{5 x +3}\, \left(29 x +24\right)}{363 \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"2/363*(5*x+3)^(1/2)*(29*x+24)/(-2*x+1)^(3/2)","A"
2613,1,22,33,0.003000," ","int(1/(-2*x+1)^(5/2)/(5*x+3)^(1/2),x)","-\frac{2 \sqrt{5 x +3}\, \left(20 x -21\right)}{363 \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"-2/363*(5*x+3)^(1/2)*(20*x-21)/(-2*x+1)^(3/2)","A"
2614,1,154,58,0.014000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)/(5*x+3)^(1/2),x)","\frac{\left(13068 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-13068 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-9464 \sqrt{-10 x^{2}-x +3}\, x +3267 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+6888 \sqrt{-10 x^{2}-x +3}\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{124509 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/124509*(13068*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-13068*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+3267*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-9464*(-10*x^2-x+3)^(1/2)*x+6888*(-10*x^2-x+3)^(1/2))*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","B"
2615,1,209,81,0.016000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)^2/(5*x+3)^(1/2),x)","\frac{\left(1764180 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-588060 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+368760 \sqrt{-10 x^{2}-x +3}\, x^{2}-735075 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-553000 \sqrt{-10 x^{2}-x +3}\, x +294030 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+214494 \sqrt{-10 x^{2}-x +3}\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{1743126 \left(3 x +2\right) \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/1743126*(1764180*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-588060*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-735075*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+368760*(-10*x^2-x+3)^(1/2)*x^2+294030*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-553000*(-10*x^2-x+3)^(1/2)*x+214494*(-10*x^2-x+3)^(1/2))*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(3*x+2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","B"
2616,1,257,104,0.020000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)^3/(5*x+3)^(1/2),x)","\frac{\left(75859740 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+25286580 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+29027880 \sqrt{-10 x^{2}-x +3}\, x^{3}-48465945 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-9476040 \sqrt{-10 x^{2}-x +3}\, x^{2}-8428860 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-13238806 \sqrt{-10 x^{2}-x +3}\, x +8428860 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+5480664 \sqrt{-10 x^{2}-x +3}\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{6972504 \left(3 x +2\right)^{2} \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/6972504*(75859740*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+25286580*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-48465945*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+29027880*(-10*x^2-x+3)^(1/2)*x^3-8428860*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-9476040*(-10*x^2-x+3)^(1/2)*x^2+8428860*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-13238806*(-10*x^2-x+3)^(1/2)*x+5480664*(-10*x^2-x+3)^(1/2))*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(3*x+2)^2/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","B"
2617,1,305,127,0.020000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)^4/(5*x+3)^(1/2),x)","\frac{\left(12947317020 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+12947317020 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+5248371240 \sqrt{-10 x^{2}-x +3}\, x^{4}-5394715425 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1964912040 \sqrt{-10 x^{2}-x +3}\, x^{3}-6953188770 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-3429751878 \sqrt{-10 x^{2}-x +3}\, x^{2}+479530260 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-684230540 \sqrt{-10 x^{2}-x +3}\, x +959060520 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+627606336 \sqrt{-10 x^{2}-x +3}\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{97615056 \left(3 x +2\right)^{3} \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}}"," ",0,"1/97615056*(12947317020*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+12947317020*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-5394715425*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+5248371240*(-10*x^2-x+3)^(1/2)*x^4-6953188770*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1964912040*(-10*x^2-x+3)^(1/2)*x^3+479530260*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-3429751878*(-10*x^2-x+3)^(1/2)*x^2+959060520*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-684230540*(-10*x^2-x+3)^(1/2)*x+627606336*(-10*x^2-x+3)^(1/2))*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(3*x+2)^3/(2*x-1)^2/(-10*x^2-x+3)^(1/2)","B"
2618,1,168,109,0.020000," ","int((3*x+2)^5/(-2*x+1)^(5/2)/(5*x+3)^(3/2),x)","\frac{\sqrt{-2 x +1}\, \left(-1552478400 \sqrt{-10 x^{2}-x +3}\, x^{4}+19421073540 \sqrt{10}\, x^{3} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-10737975600 \sqrt{-10 x^{2}-x +3}\, x^{3}-7768429416 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+35819748080 \sqrt{-10 x^{2}-x +3}\, x^{2}-6797375739 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+10513592820 \sqrt{-10 x^{2}-x +3}\, x +2913161031 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-8705162580 \sqrt{-10 x^{2}-x +3}\right)}{127776000 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"1/127776000*(-2*x+1)^(1/2)*(19421073540*10^(1/2)*x^3*arcsin(20/11*x+1/11)-1552478400*(-10*x^2-x+3)^(1/2)*x^4-7768429416*10^(1/2)*x^2*arcsin(20/11*x+1/11)-10737975600*(-10*x^2-x+3)^(1/2)*x^3-6797375739*10^(1/2)*x*arcsin(20/11*x+1/11)+35819748080*(-10*x^2-x+3)^(1/2)*x^2+2913161031*10^(1/2)*arcsin(20/11*x+1/11)+10513592820*(-10*x^2-x+3)^(1/2)*x-8705162580*(-10*x^2-x+3)^(1/2))/(2*x-1)^2/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","A"
2619,1,151,86,0.015000," ","int((3*x+2)^4/(-2*x+1)^(5/2)/(5*x+3)^(3/2),x)","\frac{\sqrt{-2 x +1}\, \left(390275820 \sqrt{10}\, x^{3} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-129373200 \sqrt{-10 x^{2}-x +3}\, x^{3}-156110328 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+809775440 \sqrt{-10 x^{2}-x +3}\, x^{2}-136596537 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+253142460 \sqrt{-10 x^{2}-x +3}\, x +58541373 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-167582940 \sqrt{-10 x^{2}-x +3}\right)}{15972000 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"1/15972000*(-2*x+1)^(1/2)*(390275820*10^(1/2)*x^3*arcsin(20/11*x+1/11)-156110328*10^(1/2)*x^2*arcsin(20/11*x+1/11)-129373200*(-10*x^2-x+3)^(1/2)*x^3-136596537*10^(1/2)*x*arcsin(20/11*x+1/11)+809775440*(-10*x^2-x+3)^(1/2)*x^2+58541373*10^(1/2)*arcsin(20/11*x+1/11)+253142460*(-10*x^2-x+3)^(1/2)*x-167582940*(-10*x^2-x+3)^(1/2))/(2*x-1)^2/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","A"
2620,1,134,63,0.017000," ","int((3*x+2)^3/(-2*x+1)^(5/2)/(5*x+3)^(3/2),x)","\frac{\sqrt{-2 x +1}\, \left(2156220 \sqrt{10}\, x^{3} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-862488 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+5977040 \sqrt{-10 x^{2}-x +3}\, x^{2}-754677 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+2485260 \sqrt{-10 x^{2}-x +3}\, x +323433 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-661740 \sqrt{-10 x^{2}-x +3}\right)}{798600 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"1/798600*(-2*x+1)^(1/2)*(2156220*10^(1/2)*x^3*arcsin(20/11*x+1/11)-862488*10^(1/2)*x^2*arcsin(20/11*x+1/11)-754677*10^(1/2)*x*arcsin(20/11*x+1/11)+5977040*(-10*x^2-x+3)^(1/2)*x^2+323433*10^(1/2)*arcsin(20/11*x+1/11)+2485260*(-10*x^2-x+3)^(1/2)*x-661740*(-10*x^2-x+3)^(1/2))/(2*x-1)^2/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2621,1,27,49,0.004000," ","int((3*x+2)^2/(-2*x+1)^(5/2)/(5*x+3)^(3/2),x)","\frac{\frac{1586}{3993} x^{2}+\frac{960}{1331} x +\frac{376}{1331}}{\left(-2 x +1\right)^{\frac{3}{2}} \sqrt{5 x +3}}"," ",0,"2/3993*(793*x^2+1440*x+564)/(5*x+3)^(1/2)/(-2*x+1)^(3/2)","A"
2622,1,27,49,0.005000," ","int((3*x+2)/(-2*x+1)^(5/2)/(5*x+3)^(3/2),x)","-\frac{2 \left(820 x^{2}-369 x -444\right)}{3993 \sqrt{5 x +3}\, \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"-2/3993*(820*x^2-369*x-444)/(5*x+3)^(1/2)/(-2*x+1)^(3/2)","A"
2623,1,27,49,0.003000," ","int(1/(-2*x+1)^(5/2)/(5*x+3)^(3/2),x)","-\frac{2 \left(800 x^{2}-360 x -141\right)}{3993 \sqrt{5 x +3}\, \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"-2/3993*(800*x^2-360*x-141)/(5*x+3)^(1/2)/(-2*x+1)^(3/2)","A"
2624,1,202,74,0.018000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)/(5*x+3)^(3/2),x)","-\frac{\sqrt{-2 x +1}\, \left(2156220 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-862488 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+1182440 \sqrt{-10 x^{2}-x +3}\, x^{2}-754677 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-1035216 \sqrt{-10 x^{2}-x +3}\, x +323433 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+198282 \sqrt{-10 x^{2}-x +3}\right)}{1369599 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/1369599*(-2*x+1)^(1/2)*(2156220*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-862488*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-754677*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+1182440*(-10*x^2-x+3)^(1/2)*x^2+323433*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-1035216*(-10*x^2-x+3)^(1/2)*x+198282*(-10*x^2-x+3)^(1/2))/(2*x-1)^2/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2625,1,257,97,0.018000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)^2/(5*x+3)^(3/2),x)","-\frac{\sqrt{-2 x +1}\, \left(743895900 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+198372240 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+309157800 \sqrt{-10 x^{2}-x +3}\, x^{3}-458735805 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-106591520 \sqrt{-10 x^{2}-x +3}\, x^{2}-61991325 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-122646510 \sqrt{-10 x^{2}-x +3}\, x +74389590 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+48994386 \sqrt{-10 x^{2}-x +3}\right)}{19174386 \left(3 x +2\right) \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/19174386*(-2*x+1)^(1/2)*(743895900*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+198372240*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-458735805*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+309157800*(-10*x^2-x+3)^(1/2)*x^3-61991325*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-106591520*(-10*x^2-x+3)^(1/2)*x^2+74389590*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-122646510*(-10*x^2-x+3)^(1/2)*x+48994386*(-10*x^2-x+3)^(1/2))/(3*x+2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2626,1,305,120,0.018000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)^3/(5*x+3)^(3/2),x)","-\frac{\sqrt{-2 x +1}\, \left(57150611100 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+53340570360 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+23339068200 \sqrt{-10 x^{2}-x +3}\, x^{4}-25082768205 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+7281034320 \sqrt{-10 x^{2}-x +3}\, x^{3}-28257802155 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-14744982350 \sqrt{-10 x^{2}-x +3}\, x^{2}+2540027160 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-2372529474 \sqrt{-10 x^{2}-x +3}\, x +3810040740 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+2502361176 \sqrt{-10 x^{2}-x +3}\right)}{76697544 \left(3 x +2\right)^{2} \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}\, \sqrt{5 x +3}}"," ",0,"-1/76697544*(-2*x+1)^(1/2)*(57150611100*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+53340570360*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-25082768205*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+23339068200*(-10*x^2-x+3)^(1/2)*x^4-28257802155*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+7281034320*(-10*x^2-x+3)^(1/2)*x^3+2540027160*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-14744982350*(-10*x^2-x+3)^(1/2)*x^2+3810040740*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-2372529474*(-10*x^2-x+3)^(1/2)*x+2502361176*(-10*x^2-x+3)^(1/2))/(3*x+2)^2/(2*x-1)^2/(-10*x^2-x+3)^(1/2)/(5*x+3)^(1/2)","B"
2627,1,199,132,0.017000," ","int((3*x+2)^6/(-2*x+1)^(5/2)/(5*x+3)^(5/2),x)","\frac{\sqrt{-2 x +1}\, \left(-256158936000 \sqrt{-10 x^{2}-x +3}\, x^{5}+3309786918900 \sqrt{10}\, x^{4} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-1959615860400 \sqrt{-10 x^{2}-x +3}\, x^{4}+661957383780 \sqrt{10}\, x^{3} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+5046848711200 \sqrt{-10 x^{2}-x +3}\, x^{3}-1952774282151 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+5482566715380 \sqrt{-10 x^{2}-x +3}\, x^{2}-198587215134 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-398641171080 \sqrt{-10 x^{2}-x +3}\, x +297880822701 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-888742129180 \sqrt{-10 x^{2}-x +3}\right)}{7027680000 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/7027680000*(-2*x+1)^(1/2)*(3309786918900*10^(1/2)*x^4*arcsin(20/11*x+1/11)-256158936000*(-10*x^2-x+3)^(1/2)*x^5+661957383780*10^(1/2)*x^3*arcsin(20/11*x+1/11)-1959615860400*(-10*x^2-x+3)^(1/2)*x^4-1952774282151*10^(1/2)*x^2*arcsin(20/11*x+1/11)+5046848711200*(-10*x^2-x+3)^(1/2)*x^3-198587215134*10^(1/2)*x*arcsin(20/11*x+1/11)+5482566715380*(-10*x^2-x+3)^(1/2)*x^2+297880822701*10^(1/2)*arcsin(20/11*x+1/11)-398641171080*(-10*x^2-x+3)^(1/2)*x-888742129180*(-10*x^2-x+3)^(1/2))/(2*x-1)^2/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","A"
2628,1,182,109,0.016000," ","int((3*x+2)^5/(-2*x+1)^(5/2)/(5*x+3)^(5/2),x)","\frac{\sqrt{-2 x +1}\, \left(13163723100 \sqrt{10}\, x^{4} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-4269315600 \sqrt{-10 x^{2}-x +3}\, x^{4}+2632744620 \sqrt{10}\, x^{3} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+24956232800 \sqrt{-10 x^{2}-x +3}\, x^{3}-7766596629 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+25208605020 \sqrt{-10 x^{2}-x +3}\, x^{2}-789823386 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-391879320 \sqrt{-10 x^{2}-x +3}\, x +1184735079 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-3366379220 \sqrt{-10 x^{2}-x +3}\right)}{175692000 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/175692000*(-2*x+1)^(1/2)*(13163723100*10^(1/2)*x^4*arcsin(20/11*x+1/11)+2632744620*10^(1/2)*x^3*arcsin(20/11*x+1/11)-4269315600*(-10*x^2-x+3)^(1/2)*x^4-7766596629*10^(1/2)*x^2*arcsin(20/11*x+1/11)+24956232800*(-10*x^2-x+3)^(1/2)*x^3-789823386*10^(1/2)*x*arcsin(20/11*x+1/11)+25208605020*(-10*x^2-x+3)^(1/2)*x^2+1184735079*10^(1/2)*arcsin(20/11*x+1/11)-391879320*(-10*x^2-x+3)^(1/2)*x-3366379220*(-10*x^2-x+3)^(1/2))/(2*x-1)^2/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","A"
2629,1,165,86,0.015000," ","int((3*x+2)^4/(-2*x+1)^(5/2)/(5*x+3)^(5/2),x)","\frac{\sqrt{-2 x +1}\, \left(355776300 \sqrt{10}\, x^{4} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+71155260 \sqrt{10}\, x^{3} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+994040800 \sqrt{-10 x^{2}-x +3}\, x^{3}-209908017 \sqrt{10}\, x^{2} \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+1026687660 \sqrt{-10 x^{2}-x +3}\, x^{2}-21346578 \sqrt{10}\, x \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)+157671240 \sqrt{-10 x^{2}-x +3}\, x +32019867 \sqrt{10}\, \arcsin \left(\frac{20 x}{11}+\frac{1}{11}\right)-60296260 \sqrt{-10 x^{2}-x +3}\right)}{43923000 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/43923000*(-2*x+1)^(1/2)*(355776300*10^(1/2)*x^4*arcsin(20/11*x+1/11)+71155260*10^(1/2)*x^3*arcsin(20/11*x+1/11)-209908017*10^(1/2)*x^2*arcsin(20/11*x+1/11)+994040800*(-10*x^2-x+3)^(1/2)*x^3-21346578*10^(1/2)*x*arcsin(20/11*x+1/11)+1026687660*(-10*x^2-x+3)^(1/2)*x^2+32019867*10^(1/2)*arcsin(20/11*x+1/11)+157671240*(-10*x^2-x+3)^(1/2)*x-60296260*(-10*x^2-x+3)^(1/2))/(2*x-1)^2/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","A"
2630,1,32,72,0.005000," ","int((3*x+2)^3/(-2*x+1)^(5/2)/(5*x+3)^(5/2),x)","\frac{\frac{39146}{43923} x^{3}+\frac{41488}{14641} x^{2}+\frac{34696}{14641} x +\frac{26080}{43923}}{\left(-2 x +1\right)^{\frac{3}{2}} \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"2/43923*(19573*x^3+62232*x^2+52044*x+13040)/(5*x+3)^(3/2)/(-2*x+1)^(3/2)","A"
2631,1,32,65,0.005000," ","int((3*x+2)^2/(-2*x+1)^(5/2)/(5*x+3)^(5/2),x)","-\frac{2 \left(32980 x^{3}+4947 x^{2}-24600 x -9364\right)}{43923 \left(5 x +3\right)^{\frac{3}{2}} \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"-2/43923*(32980*x^3+4947*x^2-24600*x-9364)/(5*x+3)^(3/2)/(-2*x+1)^(3/2)","A"
2632,1,32,65,0.003000," ","int((3*x+2)/(-2*x+1)^(5/2)/(5*x+3)^(5/2),x)","-\frac{2 \left(29600 x^{3}+4440 x^{2}-13209 x -2864\right)}{43923 \left(5 x +3\right)^{\frac{3}{2}} \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"-2/43923*(29600*x^3+4440*x^2-13209*x-2864)/(5*x+3)^(3/2)/(-2*x+1)^(3/2)","A"
2633,1,32,65,0.003000," ","int(1/(-2*x+1)^(5/2)/(5*x+3)^(5/2),x)","-\frac{2 \left(16000 x^{3}+2400 x^{2}-7140 x -361\right)}{43923 \left(5 x +3\right)^{\frac{3}{2}} \left(-2 x +1\right)^{\frac{3}{2}}}"," ",0,"-2/43923*(16000*x^3+2400*x^2-7140*x-361)/(5*x+3)^(3/2)/(-2*x+1)^(3/2)","A"
2634,1,250,90,0.019000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)/(5*x+3)^(5/2),x)","\frac{\sqrt{-2 x +1}\, \left(355776300 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+71155260 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+140222600 \sqrt{-10 x^{2}-x +3}\, x^{3}-209908017 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-61981080 \sqrt{-10 x^{2}-x +3}\, x^{2}-21346578 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-45279654 \sqrt{-10 x^{2}-x +3}\, x +32019867 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+20868148 \sqrt{-10 x^{2}-x +3}\right)}{15065589 \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/15065589*(-2*x+1)^(1/2)*(355776300*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+71155260*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-209908017*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+140222600*(-10*x^2-x+3)^(1/2)*x^3-21346578*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-61981080*(-10*x^2-x+3)^(1/2)*x^2+32019867*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-45279654*(-10*x^2-x+3)^(1/2)*x+20868148*(-10*x^2-x+3)^(1/2))/(2*x-1)^2/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","B"
2635,1,305,113,0.018000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)^2/(5*x+3)^(5/2),x)","\frac{\sqrt{-2 x +1}\, \left(197455846500 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+171128400300 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+80457783000 \sqrt{-10 x^{2}-x +3}\, x^{4}-90171503235 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+19634158600 \sqrt{-10 x^{2}-x +3}\, x^{3}-89513317080 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-48975313170 \sqrt{-10 x^{2}-x +3}\, x^{2}+9872792325 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-6014771280 \sqrt{-10 x^{2}-x +3}\, x +11847350790 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+7771984934 \sqrt{-10 x^{2}-x +3}\right)}{210918246 \left(3 x +2\right) \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/210918246*(-2*x+1)^(1/2)*(197455846500*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+171128400300*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-90171503235*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+80457783000*(-10*x^2-x+3)^(1/2)*x^4-89513317080*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+19634158600*(-10*x^2-x+3)^(1/2)*x^3+9872792325*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-48975313170*(-10*x^2-x+3)^(1/2)*x^2+11847350790*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-6014771280*(-10*x^2-x+3)^(1/2)*x+7771984934*(-10*x^2-x+3)^(1/2))/(3*x+2)/(2*x-1)^2/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","B"
2636,1,353,136,0.019000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)^3/(5*x+3)^(5/2),x)","\frac{\sqrt{-2 x +1}\, \left(21277201621500 \sqrt{7}\, x^{6} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+32625042486300 \sqrt{7}\, x^{5} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+8678413233000 \sqrt{-10 x^{2}-x +3}\, x^{5}+2576905529715 \sqrt{7}\, x^{4} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+7908299250600 \sqrt{-10 x^{2}-x +3}\, x^{4}-16123390562070 \sqrt{7}\, x^{3} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-3865252136270 \sqrt{-10 x^{2}-x +3}\, x^{3}-5366583075645 \sqrt{7}\, x^{2} \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)-4171119419460 \sqrt{-10 x^{2}-x +3}\, x^{2}+1985872151340 \sqrt{7}\, x \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+403737420954 \sqrt{-10 x^{2}-x +3}\, x +851088064860 \sqrt{7}\, \arctan \left(\frac{\left(37 x +20\right) \sqrt{7}}{14 \sqrt{-10 x^{2}-x +3}}\right)+558613153784 \sqrt{-10 x^{2}-x +3}\right)}{843672984 \left(3 x +2\right)^{2} \left(2 x -1\right)^{2} \sqrt{-10 x^{2}-x +3}\, \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/843672984*(-2*x+1)^(1/2)*(21277201621500*7^(1/2)*x^6*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+32625042486300*7^(1/2)*x^5*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+2576905529715*7^(1/2)*x^4*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+8678413233000*(-10*x^2-x+3)^(1/2)*x^5-16123390562070*7^(1/2)*x^3*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+7908299250600*(-10*x^2-x+3)^(1/2)*x^4-5366583075645*7^(1/2)*x^2*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-3865252136270*(-10*x^2-x+3)^(1/2)*x^3+1985872151340*7^(1/2)*x*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))-4171119419460*(-10*x^2-x+3)^(1/2)*x^2+851088064860*7^(1/2)*arctan(1/14*(37*x+20)*7^(1/2)/(-10*x^2-x+3)^(1/2))+403737420954*(-10*x^2-x+3)^(1/2)*x+558613153784*(-10*x^2-x+3)^(1/2))/(3*x+2)^2/(2*x-1)^2/(-10*x^2-x+3)^(1/2)/(5*x+3)^(3/2)","B"
2637,1,181,49,0.164000," ","int(1/(b*x+a)^(1/2)/(c+b*(c-1)*x/a)^(1/2)/(e+b*(-1+e)*x/a)^(1/2),x)","-\frac{2 \sqrt{-\frac{\left(e -1\right) \left(b c x +a c -b x \right)}{\left(c -e \right) a}}\, \sqrt{-\frac{\left(b x +a \right) \left(c -1\right)}{a}}\, \sqrt{\frac{\left(c -1\right) \left(b e x +a e -b x \right)}{\left(c -e \right) a}}\, \left(c -e \right) a \EllipticF \left(\sqrt{-\frac{\left(e -1\right) \left(b c x +a c -b x \right)}{\left(c -e \right) a}}, \sqrt{-\frac{c -e}{e -1}}\right)}{\sqrt{b x +a}\, \sqrt{\frac{b c x +a c -b x}{a}}\, \sqrt{\frac{b e x +a e -b x}{a}}\, \left(c -1\right) \left(e -1\right) b}"," ",0,"-2/(b*x+a)^(1/2)*a*(-(-1+e)*(b*c*x+a*c-b*x)/a/(c-e))^(1/2)*(-(b*x+a)*(c-1)/a)^(1/2)*((c-1)*(b*e*x+a*e-b*x)/a/(c-e))^(1/2)*EllipticF((-(-1+e)*(b*c*x+a*c-b*x)/a/(c-e))^(1/2),(-(c-e)/(-1+e))^(1/2))*(c-e)/((b*c*x+a*c-b*x)/a)^(1/2)/((b*e*x+a*e-b*x)/a)^(1/2)/b/(c-1)/(-1+e)","B"
2638,1,207,83,0.120000," ","int(1/(b*x+a)^(1/2)/(d*x+c)^(1/2)/(e+b*(e-1)*x/a)^(1/2),x)","\frac{2 \sqrt{b x +a}\, \sqrt{d x +c}\, \sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}\, \sqrt{-\frac{\left(b x +a \right) \left(e -1\right)}{a}}\, \sqrt{-\frac{\left(d x +c \right) \left(e -1\right) b}{a d e -b c e +b c}}\, \left(a d e -b c e +b c \right) \EllipticF \left(\sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}, \sqrt{\frac{a d e -b c e +b c}{a d}}\right)}{\sqrt{\frac{b e x +a e -b x}{a}}\, \left(b d \,x^{2}+a d x +b c x +a c \right) \left(e -1\right) b d}"," ",0,"2*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(d*(b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c))^(1/2)*(-(b*x+a)*(e-1)/a)^(1/2)*(-(d*x+c)*b*(e-1)/(a*d*e-b*c*e+b*c))^(1/2)*EllipticF((d*(b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c))^(1/2),((a*d*e-b*c*e+b*c)/d/a)^(1/2))*(a*d*e-b*c*e+b*c)/((b*e*x+a*e-b*x)/a)^(1/2)/(b*d*x^2+a*d*x+b*c*x+a*c)/b/d/(e-1)","B"
2639,1,192,117,0.087000," ","int(1/(b*x+a)^(1/2)/(d*x+c)^(1/2)/(f*x+e)^(1/2),x)","\frac{2 \left(a d -b c \right) \sqrt{-\frac{\left(d x +c \right) b}{a d -b c}}\, \sqrt{-\frac{\left(f x +e \right) b}{a f -b e}}\, \sqrt{\frac{\left(b x +a \right) d}{a d -b c}}\, \sqrt{b x +a}\, \sqrt{d x +c}\, \sqrt{f x +e}\, \EllipticF \left(\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}, \sqrt{\frac{\left(a d -b c \right) f}{\left(a f -b e \right) d}}\right)}{\left(b d f \,x^{3}+a d f \,x^{2}+b c f \,x^{2}+b d e \,x^{2}+a c f x +a d e x +b c e x +a c e \right) b d}"," ",0,"2*(a*d-b*c)*EllipticF(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)*f/d/(a*f-b*e))^(1/2))*(-(d*x+c)*b/(a*d-b*c))^(1/2)*(-(f*x+e)*b/(a*f-b*e))^(1/2)*((b*x+a)/(a*d-b*c)*d)^(1/2)/d/b*(b*x+a)^(1/2)*(d*x+c)^(1/2)*(f*x+e)^(1/2)/(b*d*f*x^3+a*d*f*x^2+b*c*f*x^2+b*d*e*x^2+a*c*f*x+a*d*e*x+b*c*e*x+a*c*e)","A"
2640,1,548,49,0.036000," ","int((e+b*(e-1)*x/a)^(1/2)/(b*x+a)^(1/2)/(c+b*(c-1)*x/a)^(1/2),x)","-\frac{2 \sqrt{\frac{b e x +a e -b x}{a}}\, \sqrt{b x +a}\, \sqrt{-\frac{\left(e -1\right) \left(b c x +a c -b x \right)}{\left(c -e \right) a}}\, \sqrt{-\frac{\left(b x +a \right) \left(c -1\right)}{a}}\, \sqrt{\frac{\left(c -1\right) \left(b e x +a e -b x \right)}{\left(c -e \right) a}}\, \left(c^{2} \EllipticF \left(\sqrt{-\frac{\left(e -1\right) \left(b c x +a c -b x \right)}{\left(c -e \right) a}}, \sqrt{-\frac{c -e}{e -1}}\right)-c e \EllipticE \left(\sqrt{-\frac{\left(e -1\right) \left(b c x +a c -b x \right)}{\left(c -e \right) a}}, \sqrt{-\frac{c -e}{e -1}}\right)-c e \EllipticF \left(\sqrt{-\frac{\left(e -1\right) \left(b c x +a c -b x \right)}{\left(c -e \right) a}}, \sqrt{-\frac{c -e}{e -1}}\right)+e^{2} \EllipticE \left(\sqrt{-\frac{\left(e -1\right) \left(b c x +a c -b x \right)}{\left(c -e \right) a}}, \sqrt{-\frac{c -e}{e -1}}\right)+c \EllipticE \left(\sqrt{-\frac{\left(e -1\right) \left(b c x +a c -b x \right)}{\left(c -e \right) a}}, \sqrt{-\frac{c -e}{e -1}}\right)-c \EllipticF \left(\sqrt{-\frac{\left(e -1\right) \left(b c x +a c -b x \right)}{\left(c -e \right) a}}, \sqrt{-\frac{c -e}{e -1}}\right)-e \EllipticE \left(\sqrt{-\frac{\left(e -1\right) \left(b c x +a c -b x \right)}{\left(c -e \right) a}}, \sqrt{-\frac{c -e}{e -1}}\right)+e \EllipticF \left(\sqrt{-\frac{\left(e -1\right) \left(b c x +a c -b x \right)}{\left(c -e \right) a}}, \sqrt{-\frac{c -e}{e -1}}\right)\right) a^{2}}{\sqrt{\frac{b c x +a c -b x}{a}}\, \left(b^{2} e \,x^{2}+2 a b e x -b^{2} x^{2}+a^{2} e -a b x \right) \left(c -1\right)^{2} \left(e -1\right) b}"," ",0,"-2*a^2*((b*e*x+a*e-b*x)/a)^(1/2)*(b*x+a)^(1/2)*(-(e-1)*(b*c*x+a*c-b*x)/(c-e)/a)^(1/2)*(-(b*x+a)*(c-1)/a)^(1/2)*((c-1)*(b*e*x+a*e-b*x)/(c-e)/a)^(1/2)*(EllipticF((-(e-1)*(b*c*x+a*c-b*x)/(c-e)/a)^(1/2),(-(c-e)/(e-1))^(1/2))*c^2-EllipticF((-(e-1)*(b*c*x+a*c-b*x)/(c-e)/a)^(1/2),(-(c-e)/(e-1))^(1/2))*c*e-EllipticE((-(e-1)*(b*c*x+a*c-b*x)/(c-e)/a)^(1/2),(-(c-e)/(e-1))^(1/2))*c*e+EllipticE((-(e-1)*(b*c*x+a*c-b*x)/(c-e)/a)^(1/2),(-(c-e)/(e-1))^(1/2))*e^2-EllipticF((-(e-1)*(b*c*x+a*c-b*x)/(c-e)/a)^(1/2),(-(c-e)/(e-1))^(1/2))*c+EllipticF((-(e-1)*(b*c*x+a*c-b*x)/(c-e)/a)^(1/2),(-(c-e)/(e-1))^(1/2))*e+EllipticE((-(e-1)*(b*c*x+a*c-b*x)/(c-e)/a)^(1/2),(-(c-e)/(e-1))^(1/2))*c-EllipticE((-(e-1)*(b*c*x+a*c-b*x)/(c-e)/a)^(1/2),(-(c-e)/(e-1))^(1/2))*e)/((b*c*x+a*c-b*x)/a)^(1/2)/(b^2*e*x^2+2*a*b*e*x-b^2*x^2+a^2*e-a*b*x)/(c-1)^2/b/(e-1)","B"
2641,1,822,83,0.031000," ","int((d*x+c)^(1/2)/(b*x+a)^(1/2)/(e+b*(e-1)*x/a)^(1/2),x)","-\frac{2 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}\, \sqrt{-\frac{\left(b x +a \right) \left(e -1\right)}{a}}\, \sqrt{-\frac{\left(d x +c \right) \left(e -1\right) b}{a d e -b c e +b c}}\, \left(a^{2} d^{2} e^{2} \EllipticF \left(\sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}, \sqrt{\frac{a d e -b c e +b c}{a d}}\right)-2 a b c d \,e^{2} \EllipticF \left(\sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}, \sqrt{\frac{a d e -b c e +b c}{a d}}\right)+b^{2} c^{2} e^{2} \EllipticF \left(\sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}, \sqrt{\frac{a d e -b c e +b c}{a d}}\right)+a^{2} d^{2} e \EllipticE \left(\sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}, \sqrt{\frac{a d e -b c e +b c}{a d}}\right)-a^{2} d^{2} e \EllipticF \left(\sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}, \sqrt{\frac{a d e -b c e +b c}{a d}}\right)-a b c d e \EllipticE \left(\sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}, \sqrt{\frac{a d e -b c e +b c}{a d}}\right)+3 a b c d e \EllipticF \left(\sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}, \sqrt{\frac{a d e -b c e +b c}{a d}}\right)-2 b^{2} c^{2} e \EllipticF \left(\sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}, \sqrt{\frac{a d e -b c e +b c}{a d}}\right)+a b c d \EllipticE \left(\sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}, \sqrt{\frac{a d e -b c e +b c}{a d}}\right)-a b c d \EllipticF \left(\sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}, \sqrt{\frac{a d e -b c e +b c}{a d}}\right)+b^{2} c^{2} \EllipticF \left(\sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}, \sqrt{\frac{a d e -b c e +b c}{a d}}\right)\right)}{\sqrt{\frac{b e x +a e -b x}{a}}\, \left(b d \,x^{2}+a d x +b c x +a c \right) \left(e -1\right)^{2} b^{2} d}"," ",0,"-2*(d*x+c)^(1/2)*(b*x+a)^(1/2)*((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2)*(-(b*x+a)*(e-1)/a)^(1/2)*(-(d*x+c)*(e-1)/(a*d*e-b*c*e+b*c)*b)^(1/2)*(EllipticF(((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2),((a*d*e-b*c*e+b*c)/a/d)^(1/2))*a^2*d^2*e^2-2*EllipticF(((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2),((a*d*e-b*c*e+b*c)/a/d)^(1/2))*a*b*c*d*e^2+EllipticF(((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2),((a*d*e-b*c*e+b*c)/a/d)^(1/2))*b^2*c^2*e^2-EllipticF(((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2),((a*d*e-b*c*e+b*c)/a/d)^(1/2))*a^2*d^2*e+3*EllipticF(((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2),((a*d*e-b*c*e+b*c)/a/d)^(1/2))*a*b*c*d*e-2*EllipticF(((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2),((a*d*e-b*c*e+b*c)/a/d)^(1/2))*b^2*c^2*e+EllipticE(((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2),((a*d*e-b*c*e+b*c)/a/d)^(1/2))*a^2*d^2*e-EllipticE(((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2),((a*d*e-b*c*e+b*c)/a/d)^(1/2))*a*b*c*d*e-EllipticF(((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2),((a*d*e-b*c*e+b*c)/a/d)^(1/2))*a*b*c*d+EllipticF(((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2),((a*d*e-b*c*e+b*c)/a/d)^(1/2))*b^2*c^2+EllipticE(((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2),((a*d*e-b*c*e+b*c)/a/d)^(1/2))*a*b*c*d)/((b*e*x+a*e-b*x)/a)^(1/2)/(b*d*x^2+a*d*x+b*c*x+a*c)/(e-1)^2/b^2/d","B"
2642,1,183,145,0.036000," ","int((b*x+a)^(1/2)/(c+b*(c-1)*x/a)^(1/2)/(e+b*(e-1)*x/a)^(1/2),x)","\frac{2 \left(c -e \right) \sqrt{\frac{\left(c -1\right) \left(b e x +a e -b x \right)}{\left(c -e \right) a}}\, \sqrt{-\frac{\left(b x +a \right) \left(c -1\right)}{a}}\, \sqrt{-\frac{\left(e -1\right) \left(b c x +a c -b x \right)}{\left(c -e \right) a}}\, a^{2} \EllipticE \left(\sqrt{-\frac{\left(e -1\right) \left(b c x +a c -b x \right)}{\left(c -e \right) a}}, \sqrt{-\frac{c -e}{e -1}}\right)}{\sqrt{b x +a}\, \sqrt{\frac{b e x +a e -b x}{a}}\, \sqrt{\frac{b c x +a c -b x}{a}}\, \left(c -1\right)^{2} \left(e -1\right) b}"," ",0,"2*a^2*(c-e)*EllipticE((-(e-1)*(b*c*x+a*c-b*x)/(c-e)/a)^(1/2),(-(c-e)/(e-1))^(1/2))*((c-1)*(b*e*x+a*e-b*x)/(c-e)/a)^(1/2)*(-(b*x+a)*(c-1)/a)^(1/2)*(-(e-1)*(b*c*x+a*c-b*x)/(c-e)/a)^(1/2)/(b*x+a)^(1/2)/((b*e*x+a*e-b*x)/a)^(1/2)/((b*c*x+a*c-b*x)/a)^(1/2)/(c-1)^2/b/(e-1)","A"
2643,1,209,117,0.021000," ","int((f*x+e)^(1/2)/(b*x+a)^(1/2)/(d*x+c)^(1/2),x)","-\frac{2 \left(a^{2} d f -a b c f -b e a d +b^{2} c e \right) \sqrt{-\frac{\left(d x +c \right) b}{a d -b c}}\, \sqrt{-\frac{\left(f x +e \right) b}{a f -b e}}\, \sqrt{\frac{\left(b x +a \right) d}{a d -b c}}\, \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{f x +e}\, \EllipticE \left(\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}, \sqrt{\frac{\left(a d -b c \right) f}{\left(a f -b e \right) d}}\right)}{\left(b d f \,x^{3}+a d f \,x^{2}+b c f \,x^{2}+b d e \,x^{2}+a c f x +a d e x +b c e x +a c e \right) b^{2} d}"," ",0,"-2*(a^2*d*f-a*b*c*f-a*b*d*e+b^2*c*e)*EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*(-(d*x+c)/(a*d-b*c)*b)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*((b*x+a)/(a*d-b*c)*d)^(1/2)/d/b^2*(d*x+c)^(1/2)*(b*x+a)^(1/2)*(f*x+e)^(1/2)/(b*d*f*x^3+a*d*f*x^2+b*c*f*x^2+b*d*e*x^2+a*c*f*x+a*d*e*x+b*c*e*x+a*c*e)","A"
2644,1,174,87,0.092000," ","int(1/(d*x-c)^(1/2)/(d*x+c)^(1/2)/(f*x+e)^(1/2),x)","-\frac{2 \sqrt{f x +e}\, \sqrt{d x +c}\, \sqrt{d x -c}\, \sqrt{-\frac{\left(f x +e \right) d}{c f -d e}}\, \sqrt{-\frac{\left(d x -c \right) f}{c f +d e}}\, \sqrt{\frac{\left(d x +c \right) f}{c f -d e}}\, \left(c f -d e \right) \EllipticF \left(\sqrt{-\frac{\left(f x +e \right) d}{c f -d e}}, \sqrt{-\frac{c f -d e}{c f +d e}}\right)}{\left(d^{2} f \,x^{3}+d^{2} e \,x^{2}-c^{2} f x -c^{2} e \right) d f}"," ",0,"-2*(f*x+e)^(1/2)*(d*x+c)^(1/2)*(d*x-c)^(1/2)/d/f*(-(f*x+e)*d/(c*f-d*e))^(1/2)*(-(d*x-c)*f/(c*f+d*e))^(1/2)*((d*x+c)*f/(c*f-d*e))^(1/2)*EllipticF((-(f*x+e)*d/(c*f-d*e))^(1/2),(-(c*f-d*e)/(c*f+d*e))^(1/2))*(c*f-d*e)/(d^2*f*x^3+d^2*e*x^2-c^2*f*x-c^2*e)","A"
2645,1,155,139,0.041000," ","int((3*x+2)^(5/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2),x)","\frac{\sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(425250000 x^{6}+1101600000 x^{5}+864823500 x^{4}-106067700 x^{3}-335838930 x^{2}-45120930 x -11646308 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+5867645 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+24657660\right)}{212625000 x^{3}+163012500 x^{2}-49612500 x -42525000}"," ",0,"1/7087500*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(425250000*x^6+5867645*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(66+110*x)^(1/2),1/2*I*66^(1/2))-11646308*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(66+110*x)^(1/2),1/2*I*66^(1/2))+1101600000*x^5+864823500*x^4-106067700*x^3-335838930*x^2-45120930*x+24657660)/(30*x^3+23*x^2-7*x-6)","C"
2646,1,150,116,0.012000," ","int((3*x+2)^(3/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2),x)","\frac{\sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(2025000 x^{5}+3753000 x^{4}+1065150 x^{3}-1032990 x^{2}-405240 x -55019 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+27860 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+29880\right)}{2362500 x^{3}+1811250 x^{2}-551250 x -472500}"," ",0,"1/78750*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(27860*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-55019*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+2025000*x^5+3753000*x^4+1065150*x^3-1032990*x^2-405240*x+29880)/(30*x^3+23*x^2-7*x-6)","C"
2647,1,145,93,0.012000," ","int((-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(81000 x^{4}+82800 x^{3}-3030 x^{2}-21030 x -2318 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1295 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-4140\right)}{202500 x^{3}+155250 x^{2}-47250 x -40500}"," ",0,"1/6750*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(1295*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2318*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+81000*x^4+82800*x^3-3030*x^2-21030*x-4140)/(30*x^3+23*x^2-7*x-6)","C"
2648,1,140,70,0.021000," ","int((-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \left(900 x^{3}+690 x^{2}-210 x -37 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+70 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-180\right)}{4050 x^{3}+3105 x^{2}-945 x -810}"," ",0,"1/135*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(70*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-37*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+900*x^3+690*x^2-210*x-180)/(30*x^3+23*x^2-7*x-6)","C"
2649,1,135,70,0.035000," ","int((-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^(3/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \left(60 x^{2}+6 x -4 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+37 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-18\right)}{9 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/9*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(37*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-4*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+60*x^2+6*x-18)/(30*x^3+23*x^2-7*x-6)","C"
2650,1,219,93,0.036000," ","int((-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^(5/2),x)","\frac{2 \left(3330 x^{3}+2343 x^{2}-111 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+210 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-798 x -74 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+140 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-603\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{189 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{3}{2}}}"," ",0,"2/189*(210*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-111*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+140*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-74*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+3330*x^3+2343*x^2-798*x-603)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(10*x^2+x-3)/(3*x+2)^(3/2)","C"
2651,1,314,116,0.040000," ","int((-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^(7/2),x)","\frac{2 \left(625860 x^{4}+920376 x^{3}-20862 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+11655 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+187311 x^{2}-27816 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+15540 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-228408 x -9272 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+5180 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-86787\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{6615 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{5}{2}}}"," ",0,"2/6615*(11655*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-20862*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+15540*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-27816*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+5180*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-9272*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+625860*x^4+920376*x^3+187311*x^2-228408*x-86787)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(10*x^2+x-3)/(3*x+2)^(5/2)","C"
2652,1,409,139,0.041000," ","int((-2*x+1)^(1/2)*(5*x+3)^(1/2)/(3*x+2)^(9/2),x)","\frac{2 \left(89130780 x^{5}+190183518 x^{4}-2971026 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1504440 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+114403860 x^{3}-5942052 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3008880 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-14275797 x^{2}-3961368 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2005920 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-34124442 x -880304 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+445760 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-8341119\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{108045 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{7}{2}}}"," ",0,"2/108045*(1504440*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2971026*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+3008880*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-5942052*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+2005920*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-3961368*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+445760*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-880304*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+89130780*x^5+190183518*x^4+114403860*x^3-14275797*x^2-34124442*x-8341119)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(10*x^2+x-3)/(3*x+2)^(7/2)","C"
2653,1,160,162,0.024000," ","int((3*x+2)^(5/2)*(5*x+3)^(3/2)*(-2*x+1)^(1/2),x)","\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(57408750000 x^{7}+184558500000 x^{6}+213367162500 x^{5}+73701994500 x^{4}-59690698650 x^{3}-48677999160 x^{2}+325135590 x -1508889271 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+759987865 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4861938420\right)}{7016625000 x^{3}+5379412500 x^{2}-1637212500 x -1403325000}"," ",0,"1/233887500*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(57408750000*x^7+184558500000*x^6+759987865*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1508889271*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+213367162500*x^5+73701994500*x^4-59690698650*x^3-48677999160*x^2+325135590*x+4861938420)/(30*x^3+23*x^2-7*x-6)","C"
2654,1,155,139,0.014000," ","int((3*x+2)^(3/2)*(5*x+3)^(3/2)*(-2*x+1)^(1/2),x)","\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(425250000 x^{6}+1065150000 x^{5}+797269500 x^{4}-125240400 x^{3}-317245110 x^{2}-37826610 x -10655966 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+5366165 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+24119820\right)}{127575000 x^{3}+97807500 x^{2}-29767500 x -25515000}"," ",0,"1/4252500*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(425250000*x^6+5366165*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-10655966*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+1065150000*x^5+797269500*x^4-125240400*x^3-317245110*x^2-37826610*x+24119820)/(30*x^3+23*x^2-7*x-6)","C"
2655,1,150,116,0.012000," ","int((5*x+3)^(3/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \left(6075000 x^{5}+10692000 x^{4}+2615850 x^{3}-3077760 x^{2}-1068510 x -148831 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+74515 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+118620\right)}{4252500 x^{3}+3260250 x^{2}-992250 x -850500}"," ",0,"1/141750*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(74515*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-148831*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+6075000*x^5+10692000*x^4+2615850*x^3-3077760*x^2-1068510*x+118620)/(30*x^3+23*x^2-7*x-6)","C"
2656,1,145,93,0.013000," ","int((5*x+3)^(3/2)*(-2*x+1)^(1/2)/(3*x+2)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \left(81000 x^{4}+73800 x^{3}-9930 x^{2}-18930 x -1948 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+595 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2340\right)}{121500 x^{3}+93150 x^{2}-28350 x -24300}"," ",0,"1/4050*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(595*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1948*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+81000*x^4+73800*x^3-9930*x^2-18930*x-2340)/(30*x^3+23*x^2-7*x-6)","C"
2657,1,140,93,0.020000," ","int((5*x+3)^(3/2)*(-2*x+1)^(1/2)/(3*x+2)^(3/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \left(900 x^{3}+870 x^{2}-192 x -49 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+181 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-234\right)}{2430 x^{3}+1863 x^{2}-567 x -486}"," ",0,"1/81*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(181*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-49*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+900*x^3+870*x^2-192*x-234)/(30*x^3+23*x^2-7*x-6)","C"
2658,1,219,93,0.020000," ","int((5*x+3)^(3/2)*(-2*x+1)^(1/2)/(3*x+2)^(5/2),x)","-\frac{\left(25560 x^{3}+19176 x^{2}-1482 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+12075 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-6006 x -988 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+8050 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-4986\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{567 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{3}{2}}}"," ",0,"-1/567*(12075*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1482*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+8050*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-988*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+25560*x^3+19176*x^2-6006*x-4986)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(10*x^2+x-3)/(3*x+2)^(3/2)","C"
2659,1,314,116,0.022000," ","int((5*x+3)^(3/2)*(-2*x+1)^(1/2)/(3*x+2)^(7/2),x)","\frac{2 \left(1122390 x^{4}+1475199 x^{3}-37413 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+98595 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+213789 x^{2}-49884 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+131460 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-367467 x -16628 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+43820 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-124263\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{19845 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{5}{2}}}"," ",0,"2/19845*(98595*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-37413*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+131460*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-49884*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+43820*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-16628*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+1122390*x^4+1475199*x^3+213789*x^2-367467*x-124263)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(10*x^2+x-3)/(3*x+2)^(5/2)","C"
2660,1,409,139,0.023000," ","int((5*x+3)^(3/2)*(-2*x+1)^(1/2)/(3*x+2)^(9/2),x)","\frac{2 \left(192614760 x^{5}+412597206 x^{4}-6420492 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4053105 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+245446245 x^{3}-12840984 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+8106210 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-33270099 x^{2}-8560656 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+5404140 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-73335039 x -1902368 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1200920 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-17502273\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{972405 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{7}{2}}}"," ",0,"2/972405*(4053105*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-6420492*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+8106210*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-12840984*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+5404140*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-8560656*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1200920*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1902368*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+192614760*x^5+412597206*x^4+245446245*x^3-33270099*x^2-73335039*x-17502273)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(10*x^2+x-3)/(3*x+2)^(7/2)","C"
2661,1,504,162,0.042000," ","int((5*x+3)^(3/2)*(-2*x+1)^(1/2)/(3*x+2)^(11/2),x)","\frac{2 \left(27627530220 x^{6}+77378441562 x^{5}-920917674 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+471137310 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+74789762778 x^{4}-2455780464 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1256366160 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+19200699657 x^{3}-2455780464 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1256366160 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-13553781675 x^{2}-1091457984 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+558384960 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-9634250463 x -181909664 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+93064160 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1718633439\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{20420505 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{9}{2}}}"," ",0,"2/20420505*(471137310*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-920917674*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1256366160*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2455780464*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1256366160*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2455780464*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+558384960*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1091457984*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+27627530220*x^6+93064160*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-181909664*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+77378441562*x^5+74789762778*x^4+19200699657*x^3-13553781675*x^2-9634250463*x-1718633439)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(10*x^2+x-3)/(3*x+2)^(9/2)","C"
2662,1,165,185,0.024000," ","int((3*x+2)^(5/2)*(5*x+3)^(5/2)*(-2*x+1)^(1/2),x)","\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(1262992500000 x^{8}+4837644000000 x^{7}+7239923775000 x^{6}+4710948255000 x^{5}+98606794500 x^{4}-2005367126400 x^{3}-990243288510 x^{2}+123367494990 x -32833974506 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+16537733765 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+127316440620\right)}{36486450000 x^{3}+27972945000 x^{2}-8513505000 x -7297290000}"," ",0,"1/1216215000*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(1262992500000*x^8+4837644000000*x^7+7239923775000*x^6+16537733765*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-32833974506*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+4710948255000*x^5+98606794500*x^4-2005367126400*x^3-990243288510*x^2+123367494990*x+127316440620)/(30*x^3+23*x^2-7*x-6)","C"
2663,1,160,162,0.013000," ","int((3*x+2)^(3/2)*(5*x+3)^(5/2)*(-2*x+1)^(1/2),x)","\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(1275750000 x^{7}+3997350000 x^{6}+4481122500 x^{5}+1442934000 x^{4}-1295845650 x^{3}-1004184510 x^{2}+16471740 x -30926081 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+15576890 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+102147120\right)}{93555000 x^{3}+71725500 x^{2}-21829500 x -18711000}"," ",0,"1/3118500*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(1275750000*x^7+3997350000*x^6+15576890*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-30926081*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+4481122500*x^5+1442934000*x^4-1295845650*x^3-1004184510*x^2+16471740*x+102147120)/(30*x^3+23*x^2-7*x-6)","C"
2664,1,155,139,0.012000," ","int((5*x+3)^(5/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \left(85050000 x^{6}+205740000 x^{5}+146623500 x^{4}-28187100 x^{3}-59755710 x^{2}-6283110 x -1952596 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+983815 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4681620\right)}{15309000 x^{3}+11736900 x^{2}-3572100 x -3061800}"," ",0,"1/510300*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(85050000*x^6+983815*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1952596*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+205740000*x^5+146623500*x^4-28187100*x^3-59755710*x^2-6283110*x+4681620)/(30*x^3+23*x^2-7*x-6)","C"
2665,1,150,116,0.013000," ","int((5*x+3)^(5/2)*(-2*x+1)^(1/2)/(3*x+2)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \left(405000 x^{5}+675000 x^{4}+139950 x^{3}-200550 x^{2}-62400 x -9013 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4690 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+9000\right)}{170100 x^{3}+130410 x^{2}-39690 x -34020}"," ",0,"1/5670*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(4690*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-9013*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+405000*x^5+675000*x^4+139950*x^3-200550*x^2-62400*x+9000)/(30*x^3+23*x^2-7*x-6)","C"
2666,1,144,116,0.019000," ","int((5*x+3)^(5/2)*(-2*x+1)^(1/2)/(3*x+2)^(3/2),x)","-\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \left(-1000 x^{4}-800 x^{3}+230 x^{2}+210 x +18 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+15 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)\right)}{30 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/30*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(15*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+18*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1000*x^4-800*x^3+230*x^2+210*x)/(30*x^3+23*x^2-7*x-6)","C"
2667,1,224,116,0.022000," ","int((5*x+3)^(5/2)*(-2*x+1)^(1/2)/(3*x+2)^(5/2),x)","\frac{\left(94500 x^{4}+179910 x^{3}+59916 x^{2}-6627 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+31080 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-44016 x -4418 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+20720 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-21366\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{1701 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{3}{2}}}"," ",0,"1/1701*(31080*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-6627*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+20720*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-4418*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+94500*x^4+179910*x^3+59916*x^2-44016*x-21366)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(10*x^2+x-3)/(3*x+2)^(3/2)","C"
2668,1,314,116,0.023000," ","int((5*x+3)^(5/2)*(-2*x+1)^(1/2)/(3*x+2)^(7/2),x)","-\frac{\left(5221260 x^{4}+7321266 x^{3}-284292 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2178855 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1328676 x^{2}-379056 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2905140 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1818228 x -126352 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+968380 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-664542\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{19845 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{5}{2}}}"," ",0,"-1/19845*(2178855*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-284292*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+2905140*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-379056*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+968380*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-126352*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+5221260*x^4+7321266*x^3+1328676*x^2-1818228*x-664542)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(10*x^2+x-3)/(3*x+2)^(5/2)","C"
2669,1,409,139,0.023000," ","int((5*x+3)^(5/2)*(-2*x+1)^(1/2)/(3*x+2)^(9/2),x)","\frac{2 \left(70260210 x^{5}+135738351 x^{4}-2342007 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+7601580 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+70504020 x^{3}-4684014 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+15203160 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-14673504 x^{2}-3122676 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+10135440 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-22006344 x -693928 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2252320 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-4820733\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{324135 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{7}{2}}}"," ",0,"2/324135*(7601580*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2342007*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+15203160*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-4684014*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+10135440*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-3122676*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+2252320*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-693928*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+70260210*x^5+135738351*x^4+70504020*x^3-14673504*x^2-22006344*x-4820733)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(10*x^2+x-3)/(3*x+2)^(7/2)","C"
2670,1,504,162,0.026000," ","int((5*x+3)^(5/2)*(-2*x+1)^(1/2)/(3*x+2)^(11/2),x)","\frac{2 \left(33046119180 x^{6}+93038777928 x^{5}-1101537306 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+805590765 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+89171217657 x^{4}-2937432816 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2148242040 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+21862930608 x^{3}-2937432816 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2148242040 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-16533476400 x^{2}-1305525696 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+954774240 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-11279323722 x -217587616 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+159129040 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1956843891\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{61261515 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{9}{2}}}"," ",0,"2/61261515*(805590765*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1101537306*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+2148242040*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2937432816*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+2148242040*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2937432816*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+954774240*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1305525696*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+33046119180*x^6+159129040*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-217587616*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+93038777928*x^5+89171217657*x^4+21862930608*x^3-16533476400*x^2-11279323722*x-1956843891)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(10*x^2+x-3)/(3*x+2)^(9/2)","C"
2671,1,599,185,0.045000," ","int((5*x+3)^(5/2)*(-2*x+1)^(1/2)/(3*x+2)^(13/2),x)","\frac{2 \left(4756819201380 x^{7}+16496888326218 x^{6}-158560640046 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{5} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+82571200740 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{5} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+21769332100344 x^{5}-528535466820 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+275237335800 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+11891020005261 x^{4}-704713955760 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+366983114400 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-140844968748 x^{3}-469809303840 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+244655409600 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-3218604203112 x^{2}-156603101280 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+81551803200 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1399649072964 x -20880413504 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+10873573760 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-196325700219\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{1572378885 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{11}{2}}}"," ",0,"2/1572378885*(82571200740*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^5*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-158560640046*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^5*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+275237335800*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-528535466820*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+366983114400*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-704713955760*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+244655409600*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-469809303840*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+4756819201380*x^7+81551803200*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-156603101280*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+16496888326218*x^6+10873573760*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-20880413504*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+21769332100344*x^5+11891020005261*x^4-140844968748*x^3-3218604203112*x^2-1399649072964*x-196325700219)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(10*x^2+x-3)/(3*x+2)^(11/2)","C"
2672,1,209,117,0.002000," ","int((f*x+e)^(1/2)/(b*x+a)^(1/2)/(d*x+c)^(1/2),x)","-\frac{2 \left(a^{2} d f -a b c f -b e a d +b^{2} c e \right) \sqrt{-\frac{\left(d x +c \right) b}{a d -b c}}\, \sqrt{-\frac{\left(f x +e \right) b}{a f -b e}}\, \sqrt{\frac{\left(b x +a \right) d}{a d -b c}}\, \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{f x +e}\, \EllipticE \left(\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}, \sqrt{\frac{\left(a d -b c \right) f}{\left(a f -b e \right) d}}\right)}{\left(b d f \,x^{3}+a d f \,x^{2}+b c f \,x^{2}+b d e \,x^{2}+a c f x +a d e x +b c e x +a c e \right) b^{2} d}"," ",0,"-2*(a^2*d*f-a*b*c*f-a*b*d*e+b^2*c*e)*EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*(-(d*x+c)/(a*d-b*c)*b)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*((b*x+a)/(a*d-b*c)*d)^(1/2)/d/b^2*(d*x+c)^(1/2)*(b*x+a)^(1/2)*(f*x+e)^(1/2)/(b*d*f*x^3+a*d*f*x^2+b*c*f*x^2+b*d*e*x^2+a*c*f*x+a*d*e*x+b*c*e*x+a*c*e)","A"
2673,1,1022,161,0.076000," ","int((f*x+e)^(1/2)/(b*x+a)^(3/2)/(d*x+c)^(1/2),x)","-\frac{2 \left(-b^{2} d^{2} f \,x^{2}-\sqrt{-\frac{\left(f x +e \right) b}{a f -b e}}\, \sqrt{-\frac{\left(d x +c \right) b}{a d -b c}}\, \sqrt{\frac{\left(b x +a \right) d}{a d -b c}}\, a^{2} d^{2} f \EllipticE \left(\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}, \sqrt{\frac{\left(a d -b c \right) f}{\left(a f -b e \right) d}}\right)+\sqrt{-\frac{\left(f x +e \right) b}{a f -b e}}\, \sqrt{-\frac{\left(d x +c \right) b}{a d -b c}}\, \sqrt{\frac{\left(b x +a \right) d}{a d -b c}}\, a b c d f \EllipticE \left(\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}, \sqrt{\frac{\left(a d -b c \right) f}{\left(a f -b e \right) d}}\right)+\sqrt{-\frac{\left(f x +e \right) b}{a f -b e}}\, \sqrt{-\frac{\left(d x +c \right) b}{a d -b c}}\, \sqrt{\frac{\left(b x +a \right) d}{a d -b c}}\, a b c d f \EllipticF \left(\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}, \sqrt{\frac{\left(a d -b c \right) f}{\left(a f -b e \right) d}}\right)+\sqrt{-\frac{\left(f x +e \right) b}{a f -b e}}\, \sqrt{-\frac{\left(d x +c \right) b}{a d -b c}}\, \sqrt{\frac{\left(b x +a \right) d}{a d -b c}}\, a b \,d^{2} e \EllipticE \left(\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}, \sqrt{\frac{\left(a d -b c \right) f}{\left(a f -b e \right) d}}\right)-\sqrt{-\frac{\left(f x +e \right) b}{a f -b e}}\, \sqrt{-\frac{\left(d x +c \right) b}{a d -b c}}\, \sqrt{\frac{\left(b x +a \right) d}{a d -b c}}\, a b \,d^{2} e \EllipticF \left(\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}, \sqrt{\frac{\left(a d -b c \right) f}{\left(a f -b e \right) d}}\right)-\sqrt{-\frac{\left(f x +e \right) b}{a f -b e}}\, \sqrt{-\frac{\left(d x +c \right) b}{a d -b c}}\, \sqrt{\frac{\left(b x +a \right) d}{a d -b c}}\, b^{2} c^{2} f \EllipticF \left(\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}, \sqrt{\frac{\left(a d -b c \right) f}{\left(a f -b e \right) d}}\right)-\sqrt{-\frac{\left(f x +e \right) b}{a f -b e}}\, \sqrt{-\frac{\left(d x +c \right) b}{a d -b c}}\, \sqrt{\frac{\left(b x +a \right) d}{a d -b c}}\, b^{2} c d e \EllipticE \left(\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}, \sqrt{\frac{\left(a d -b c \right) f}{\left(a f -b e \right) d}}\right)+\sqrt{-\frac{\left(f x +e \right) b}{a f -b e}}\, \sqrt{-\frac{\left(d x +c \right) b}{a d -b c}}\, \sqrt{\frac{\left(b x +a \right) d}{a d -b c}}\, b^{2} c d e \EllipticF \left(\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}, \sqrt{\frac{\left(a d -b c \right) f}{\left(a f -b e \right) d}}\right)-b^{2} c d f x -b^{2} d^{2} e x -b^{2} c d e \right) \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{f x +e}}{\left(a d -b c \right) \left(b d f \,x^{3}+a d f \,x^{2}+b c f \,x^{2}+b d e \,x^{2}+a c f x +a d e x +b c e x +a c e \right) b^{2} d}"," ",0,"-2*(EllipticF(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a*b*c*d*f*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)*((b*x+a)/(a*d-b*c)*d)^(1/2)-EllipticF(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a*b*d^2*e*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)*((b*x+a)/(a*d-b*c)*d)^(1/2)-EllipticF(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*b^2*c^2*f*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)*((b*x+a)/(a*d-b*c)*d)^(1/2)+EllipticF(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*b^2*c*d*e*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)*((b*x+a)/(a*d-b*c)*d)^(1/2)-EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a^2*d^2*f*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)*((b*x+a)/(a*d-b*c)*d)^(1/2)+EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a*b*c*d*f*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)*((b*x+a)/(a*d-b*c)*d)^(1/2)+EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a*b*d^2*e*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)*((b*x+a)/(a*d-b*c)*d)^(1/2)-EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*b^2*c*d*e*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)*((b*x+a)/(a*d-b*c)*d)^(1/2)-x^2*b^2*d^2*f-x*b^2*c*d*f-x*b^2*d^2*e-b^2*c*d*e)*(d*x+c)^(1/2)*(b*x+a)^(1/2)*(f*x+e)^(1/2)/d/b^2/(a*d-b*c)/(b*d*f*x^3+a*d*f*x^2+b*c*f*x^2+b*d*e*x^2+a*c*f*x+a*d*e*x+b*c*e*x+a*c*e)","B"
2674,1,57,22,0.031000," ","int((-2*x+1)^(1/2)/(-3-5*x)^(1/2)/(3*x+2)^(1/2),x)","-\frac{\left(-2 \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+35 \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)\right) \sqrt{2}\, \sqrt{-5 x -3}}{15 \sqrt{5 x +3}}"," ",0,"-1/15*(35*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2)))/(5*x+3)^(1/2)*2^(1/2)*(-3-5*x)^(1/2)","C"
2675,1,150,116,0.024000," ","int((3*x+2)^(5/2)*(-2*x+1)^(1/2)/(5*x+3)^(1/2),x)","\frac{\sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(2025000 x^{5}+3942000 x^{4}+1279350 x^{3}-1023960 x^{2}-459210 x -61151 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+30065 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+16020\right)}{3937500 x^{3}+3018750 x^{2}-918750 x -787500}"," ",0,"1/131250*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(30065*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-61151*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+2025000*x^5+3942000*x^4+1279350*x^3-1023960*x^2-459210*x+16020)/(30*x^3+23*x^2-7*x-6)","C"
2676,1,145,93,0.010000," ","int((3*x+2)^(3/2)*(-2*x+1)^(1/2)/(5*x+3)^(1/2),x)","\frac{\sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(9000 x^{4}+10200 x^{3}+430 x^{2}-2570 x -292 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+105 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-660\right)}{37500 x^{3}+28750 x^{2}-8750 x -7500}"," ",0,"1/1250*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(105*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-292*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+9000*x^4+10200*x^3+430*x^2-2570*x-660)/(30*x^3+23*x^2-7*x-6)","C"
2677,1,140,70,0.010000," ","int((-2*x+1)^(1/2)*(3*x+2)^(1/2)/(5*x+3)^(1/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(-900 x^{3}-690 x^{2}+210 x +31 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+35 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+180\right)}{225 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/225*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(35*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+31*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-900*x^3-690*x^2+210*x+180)/(30*x^3+23*x^2-7*x-6)","C"
2678,1,43,36,0.015000," ","int((-2*x+1)^(1/2)/(3*x+2)^(1/2)/(5*x+3)^(1/2),x)","\frac{\left(-2 \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+35 \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)\right) \sqrt{2}}{15}"," ",0,"1/15*(35*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2)))*2^(1/2)","C"
2679,1,134,47,0.019000," ","int((-2*x+1)^(1/2)/(3*x+2)^(3/2)/(5*x+3)^(1/2),x)","\frac{2 \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(30 x^{2}+3 x -\sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+\sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-9\right)}{3 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"2/3*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+30*x^2+3*x-9)/(30*x^3+23*x^2-7*x-6)","C"
2680,1,219,93,0.022000," ","int((-2*x+1)^(1/2)/(3*x+2)^(5/2)/(5*x+3)^(1/2),x)","\frac{2 \left(6120 x^{3}+4902 x^{2}-204 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+105 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1407 x -136 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+70 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1287\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{63 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{3}{2}}}"," ",0,"2/63*(105*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-204*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+70*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-136*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+6120*x^3+4902*x^2-1407*x-1287)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(3/2)","C"
2681,1,314,116,0.025000," ","int((-2*x+1)^(1/2)/(3*x+2)^(7/2)/(5*x+3)^(1/2),x)","\frac{2 \left(862380 x^{4}+1265058 x^{3}-28746 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+14490 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+263238 x^{2}-38328 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+19320 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-313239 x -12776 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+6440 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-121221\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{735 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{5}{2}}}"," ",0,"2/735*(14490*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-28746*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+19320*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-38328*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+6440*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-12776*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+862380*x^4+1265058*x^3+263238*x^2-313239*x-121221)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(5/2)","C"
2682,1,150,139,0.037000," ","int((3*x+2)^(7/2)*(-2*x+1)^(1/2)/(5*x+3)^(3/2),x)","\frac{\sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(6075000 x^{5}+12393000 x^{4}+4543650 x^{3}-3009090 x^{2}-1556340 x -203179 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+87010 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1920\right)}{19687500 x^{3}+15093750 x^{2}-4593750 x -3937500}"," ",0,"1/656250*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(87010*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-203179*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+6075000*x^5+12393000*x^4+4543650*x^3-3009090*x^2-1556340*x-1920)/(30*x^3+23*x^2-7*x-6)","C"
2683,1,145,116,0.020000," ","int((3*x+2)^(5/2)*(-2*x+1)^(1/2)/(5*x+3)^(3/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-81000 x^{4}-100800 x^{3}-8970 x^{2}+25530 x +2818 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+455 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+7140\right)}{18750 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/18750*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(455*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+2818*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-81000*x^4-100800*x^3-8970*x^2+25530*x+7140)/(30*x^3+23*x^2-7*x-6)","C"
2684,1,140,93,0.019000," ","int((3*x+2)^(3/2)*(-2*x+1)^(1/2)/(5*x+3)^(3/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-900 x^{3}-510 x^{2}+240 x +19 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+140 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+120\right)}{375 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/375*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(140*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+19*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-900*x^3-510*x^2+240*x+120)/(30*x^3+23*x^2-7*x-6)","C"
2685,1,135,70,0.015000," ","int((-2*x+1)^(1/2)*(3*x+2)^(1/2)/(5*x+3)^(3/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(60 x^{2}+10 x -4 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+35 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-20\right)}{25 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/25*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(35*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-4*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+60*x^2+10*x-20)/(30*x^3+23*x^2-7*x-6)","C"
2686,1,92,47,0.020000," ","int((-2*x+1)^(1/2)/(5*x+3)^(3/2)/(3*x+2)^(1/2),x)","\frac{2 \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \left(-30 x^{2}-5 x +\sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+10\right)}{5 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"2/5*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-30*x^2-5*x+10)/(30*x^3+23*x^2-7*x-6)","C"
2687,1,135,93,0.022000," ","int((-2*x+1)^(1/2)/(3*x+2)^(3/2)/(5*x+3)^(3/2),x)","\frac{2 \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(-60 x^{2}-8 x +2 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-\sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+19\right)}{30 x^{3}+23 x^{2}-7 x -6}"," ",0,"2*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(2*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-60*x^2-8*x+19)/(30*x^3+23*x^2-7*x-6)","C"
2688,1,219,116,0.026000," ","int((-2*x+1)^(1/2)/(3*x+2)^(5/2)/(5*x+3)^(3/2),x)","-\frac{2 \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(25020 x^{3}+20022 x^{2}-834 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+420 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-5712 x -556 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+280 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-5277\right)}{21 \left(3 x +2\right)^{\frac{3}{2}} \left(10 x^{2}+x -3\right)}"," ",0,"-2/21*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(420*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-834*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+280*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-556*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+25020*x^3+20022*x^2-5712*x-5277)/(3*x+2)^(3/2)/(10*x^2+x-3)","C"
2689,1,314,139,0.027000," ","int((-2*x+1)^(1/2)/(3*x+2)^(7/2)/(5*x+3)^(3/2),x)","-\frac{2 \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(15722640 x^{4}+23063724 x^{3}-524088 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+263970 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4798614 x^{2}-698784 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+351960 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-5709342 x -232928 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+117320 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2210613\right)}{735 \left(3 x +2\right)^{\frac{5}{2}} \left(10 x^{2}+x -3\right)}"," ",0,"-2/735*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(263970*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-524088*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+351960*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-698784*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+117320*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-232928*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+15722640*x^4+23063724*x^3+4798614*x^2-5709342*x-2210613)/(3*x+2)^(5/2)/(10*x^2+x-3)","C"
2690,1,234,162,0.042000," ","int((3*x+2)^(9/2)*(-2*x+1)^(1/2)/(5*x+3)^(5/2),x)","\frac{\left(200475000 x^{6}+547965000 x^{5}+431912250 x^{4}+8586750 x^{3}-115868770 x^{2}-7367695 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2205175 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-36550670 x -4420617 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1323105 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1081660\right) \sqrt{-2 x +1}\, \sqrt{3 x +2}}{7218750 \left(6 x^{2}+x -2\right) \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/7218750*(2205175*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-7367695*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+200475000*x^6+1323105*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-4420617*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+547965000*x^5+431912250*x^4+8586750*x^3-115868770*x^2-36550670*x-1081660)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)/(6*x^2+x-2)/(5*x+3)^(3/2)","C"
2691,1,229,139,0.023000," ","int((3*x+2)^(7/2)*(-2*x+1)^(1/2)/(5*x+3)^(5/2),x)","-\frac{\left(-13365000 x^{5}-26136000 x^{4}-12801750 x^{3}+3521120 x^{2}+473420 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+475825 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4051270 x +284052 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+285495 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+745460\right) \sqrt{-2 x +1}\, \sqrt{3 x +2}}{1031250 \left(6 x^{2}+x -2\right) \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"-1/1031250*(475825*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+473420*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+285495*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+284052*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-13365000*x^5-26136000*x^4-12801750*x^3+3521120*x^2+4051270*x+745460)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)/(6*x^2+x-2)/(5*x+3)^(3/2)","C"
2692,1,224,116,0.022000," ","int((3*x+2)^(5/2)*(-2*x+1)^(1/2)/(5*x+3)^(5/2),x)","-\frac{\left(-148500 x^{4}-134250 x^{3}+19670 x^{2}+845 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+40075 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+34570 x +507 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+24045 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3860\right) \sqrt{-2 x +1}\, \sqrt{3 x +2}}{20625 \left(6 x^{2}+x -2\right) \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"-1/20625*(40075*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+845*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+24045*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+507*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-148500*x^4-134250*x^3+19670*x^2+34570*x+3860)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)/(6*x^2+x-2)/(5*x+3)^(3/2)","C"
2693,1,219,93,0.020000," ","int((3*x+2)^(3/2)*(-2*x+1)^(1/2)/(5*x+3)^(5/2),x)","-\frac{\left(39000 x^{3}+30560 x^{2}-2290 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+16975 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-8990 x -1374 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+10185 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-8020\right) \sqrt{-2 x +1}\, \sqrt{3 x +2}}{4125 \left(6 x^{2}+x -2\right) \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"-1/4125*(16975*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2290*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+10185*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1374*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+39000*x^3+30560*x^2-8990*x-8020)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)/(6*x^2+x-2)/(5*x+3)^(3/2)","C"
2694,1,219,93,0.019000," ","int((-2*x+1)^(1/2)*(3*x+2)^(1/2)/(5*x+3)^(5/2),x)","\frac{2 \left(-4650 x^{3}-3895 x^{2}+155 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+175 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1030 x +93 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+105 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1040\right) \sqrt{-2 x +1}\, \sqrt{3 x +2}}{825 \left(6 x^{2}+x -2\right) \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"2/825*(175*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+155*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+105*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+93*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-4650*x^3-3895*x^2+1030*x+1040)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)/(6*x^2+x-2)/(5*x+3)^(3/2)","C"
2695,1,219,93,0.023000," ","int((-2*x+1)^(1/2)/(5*x+3)^(5/2)/(3*x+2)^(1/2),x)","\frac{2 \left(10200 x^{3}+7490 x^{2}-340 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+175 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2435 x -204 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+105 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1930\right) \sqrt{3 x +2}\, \sqrt{-2 x +1}}{165 \left(6 x^{2}+x -2\right) \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"2/165*(175*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-340*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+105*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-204*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+10200*x^3+7490*x^2-2435*x-1930)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)/(6*x^2+x-2)/(5*x+3)^(3/2)","C"
2696,1,219,116,0.026000," ","int((-2*x+1)^(1/2)/(3*x+2)^(3/2)/(5*x+3)^(5/2),x)","\frac{2 \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \left(39900 x^{3}+29270 x^{2}-1330 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+670 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-9464 x -798 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+402 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-7573\right)}{33 \left(5 x +3\right)^{\frac{3}{2}} \left(6 x^{2}+x -2\right)}"," ",0,"2/33*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(670*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1330*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+402*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-798*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+39900*x^3+29270*x^2-9464*x-7573)/(5*x+3)^(3/2)/(6*x^2+x-2)","C"
2697,1,311,139,0.027000," ","int((-2*x+1)^(1/2)/(3*x+2)^(5/2)/(5*x+3)^(5/2),x)","\frac{2 \sqrt{-2 x +1}\, \left(8317800 x^{4}+11646960 x^{3}-277260 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+139650 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2094878 x^{2}-351196 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+176890 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2893838 x -110904 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+55860 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1052533\right)}{231 \left(3 x +2\right)^{\frac{3}{2}} \left(5 x +3\right)^{\frac{3}{2}} \left(2 x -1\right)}"," ",0,"2/231*(-2*x+1)^(1/2)*(139650*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-277260*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+176890*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-351196*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+55860*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-110904*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+8317800*x^4+11646960*x^3+2094878*x^2-2893838*x-1052533)/(3*x+2)^(3/2)/(5*x+3)^(3/2)/(2*x-1)","C"
2698,1,406,162,0.028000," ","int((-2*x+1)^(1/2)/(3*x+2)^(7/2)/(5*x+3)^(5/2),x)","-\frac{2 \sqrt{-2 x +1}\, \left(-6961080600 x^{5}-14387939820 x^{4}+232036020 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-116871300 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-8251326936 x^{3}+448602972 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-225951180 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1253036294 x^{2}+288755936 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-145439840 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2495399128 x +61876272 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-31165680 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+587237237\right)}{8085 \left(3 x +2\right)^{\frac{5}{2}} \left(5 x +3\right)^{\frac{3}{2}} \left(2 x -1\right)}"," ",0,"-2/8085*(-2*x+1)^(1/2)*(232036020*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-116871300*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+448602972*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-225951180*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+288755936*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-145439840*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+61876272*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-31165680*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-6961080600*x^5-14387939820*x^4-8251326936*x^3+1253036294*x^2+2495399128*x+587237237)/(3*x+2)^(5/2)/(5*x+3)^(3/2)/(2*x-1)","C"
2699,1,160,162,0.014000," ","int((-2*x+1)^(3/2)*(3*x+2)^(5/2)*(5*x+3)^(1/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(114817500000 x^{7}+214751250000 x^{6}+26853525000 x^{5}-166526941500 x^{4}-80878822200 x^{3}+24553533270 x^{2}+17029168770 x +1209831262 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-609979405 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+773146260\right)}{1169437500 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/1169437500*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(114817500000*x^7+214751250000*x^6+1209831262*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-609979405*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+26853525000*x^5-166526941500*x^4-80878822200*x^3+24553533270*x^2+17029168770*x+773146260)/(30*x^3+23*x^2-7*x-6)","C"
2700,1,155,139,0.015000," ","int((-2*x+1)^(3/2)*(3*x+2)^(3/2)*(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(-425250000 x^{6}-463725000 x^{5}+317371500 x^{4}+441589950 x^{3}+10447080 x^{2}-82529670 x -5684677 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2908255 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-15245460\right)}{318937500 x^{3}+244518750 x^{2}-74418750 x -63787500}"," ",0,"1/10631250*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-425250000*x^6+2908255*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-5684677*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-463725000*x^5+317371500*x^4+441589950*x^3+10447080*x^2-82529670*x-15245460)/(30*x^3+23*x^2-7*x-6)","C"
2701,1,150,116,0.015000," ","int((-2*x+1)^(3/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(-12150000 x^{5}-2673000 x^{4}+13895100 x^{3}+5455590 x^{2}-2720910 x -237796 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+150115 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1193580\right)}{21262500 x^{3}+16301250 x^{2}-4961250 x -4252500}"," ",0,"1/708750*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(150115*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-237796*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-12150000*x^5-2673000*x^4+13895100*x^3+5455590*x^2-2720910*x-1193580)/(30*x^3+23*x^2-7*x-6)","C"
2702,1,145,93,0.013000," ","int((-2*x+1)^(3/2)*(5*x+3)^(1/2)/(3*x+2)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \left(-81000 x^{4}+74700 x^{3}+123780 x^{2}-15720 x -4157 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+10955 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-27360\right)}{303750 x^{3}+232875 x^{2}-70875 x -60750}"," ",0,"1/10125*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(10955*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-4157*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-81000*x^4+74700*x^3+123780*x^2-15720*x-27360)/(30*x^3+23*x^2-7*x-6)","C"
2703,1,140,93,0.020000," ","int((-2*x+1)^(3/2)*(5*x+3)^(1/2)/(3*x+2)^(3/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \left(1800 x^{3}+7680 x^{2}+210 x -494 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4025 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2250\right)}{405 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/405*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(4025*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-494*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+1800*x^3+7680*x^2+210*x-2250)/(30*x^3+23*x^2-7*x-6)","C"
2704,1,219,93,0.024000," ","int((-2*x+1)^(3/2)*(5*x+3)^(1/2)/(3*x+2)^(5/2),x)","\frac{2 \left(3870 x^{3}+2757 x^{2}-147 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+543 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-924 x -98 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+362 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-711\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{81 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{3}{2}}}"," ",0,"2/81*(543*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-147*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+362*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-98*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+3870*x^3+2757*x^2-924*x-711)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(3/2)","C"
2705,1,314,116,0.021000," ","int((-2*x+1)^(3/2)*(5*x+3)^(1/2)/(3*x+2)^(7/2),x)","\frac{2 \left(525960 x^{4}+783486 x^{3}-17532 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+5355 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+164391 x^{2}-23376 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+7140 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-194358 x -7792 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2380 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-74727\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{2835 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{5}{2}}}"," ",0,"2/2835*(5355*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-17532*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+7140*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-23376*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+2380*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-7792*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+525960*x^4+783486*x^3+164391*x^2-194358*x-74727)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(5/2)","C"
2706,1,409,139,0.023000," ","int((-2*x+1)^(3/2)*(5*x+3)^(1/2)/(3*x+2)^(9/2),x)","\frac{2 \left(241106220 x^{5}+514370682 x^{4}-8036874 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4023810 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+309573990 x^{3}-16073748 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+8047620 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-38478963 x^{2}-10715832 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+5365080 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-92332848 x -2381296 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1192240 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-22593321\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{138915 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{7}{2}}}"," ",0,"2/138915*(4023810*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-8036874*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+8047620*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-16073748*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+5365080*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-10715832*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1192240*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2381296*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+241106220*x^5+514370682*x^4+309573990*x^3-38478963*x^2-92332848*x-22593321)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(7/2)","C"
2707,1,504,162,0.023000," ","int((-2*x+1)^(3/2)*(5*x+3)^(1/2)/(3*x+2)^(11/2),x)","\frac{2 \left(51787994760 x^{6}+145018756296 x^{5}-1726266492 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+869318730 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+140113086174 x^{4}-4603377312 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2318183280 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+36035458056 x^{3}-4603377312 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2318183280 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-25330919565 x^{2}-2045945472 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1030303680 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-18067605114 x -340990912 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+171717280 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-3235991247\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{2917215 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{9}{2}}}"," ",0,"2/2917215*(869318730*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1726266492*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+2318183280*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-4603377312*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+2318183280*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-4603377312*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1030303680*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2045945472*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+51787994760*x^6+171717280*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-340990912*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+145018756296*x^5+140113086174*x^4+36035458056*x^3-25330919565*x^2-18067605114*x-3235991247)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(9/2)","C"
2708,1,165,185,0.013000," ","int((-2*x+1)^(3/2)*(3*x+2)^(5/2)*(5*x+3)^(3/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(-6314962500000 x^{8}-15978768750000 x^{7}-9807753375000 x^{6}+6956762962500 x^{5}+10046351241000 x^{4}+1491065725050 x^{3}-2009737437330 x^{2}-570343085580 x -51601293223 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+25989595870 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+58674990960\right)}{456080625000 x^{3}+349661812500 x^{2}-106418812500 x -91216125000}"," ",0,"1/15202687500*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-6314962500000*x^8-15978768750000*x^7-9807753375000*x^6+25989595870*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-51601293223*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+6956762962500*x^5+10046351241000*x^4+1491065725050*x^3-2009737437330*x^2-570343085580*x+58674990960)/(30*x^3+23*x^2-7*x-6)","C"
2709,1,160,162,0.014000," ","int((-2*x+1)^(3/2)*(3*x+2)^(3/2)*(5*x+3)^(3/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(-38272500000 x^{7}-68465250000 x^{6}-5550525000 x^{5}+53181589500 x^{4}+23721281100 x^{3}-8261123010 x^{2}-5071172010 x -361589456 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+181999265 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-145915380\right)}{7016625000 x^{3}+5379412500 x^{2}-1637212500 x -1403325000}"," ",0,"1/233887500*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-38272500000*x^7-68465250000*x^6+181999265*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-361589456*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-5550525000*x^5+53181589500*x^4+23721281100*x^3-8261123010*x^2-5071172010*x-145915380)/(30*x^3+23*x^2-7*x-6)","C"
2710,1,155,139,0.014000," ","int((-2*x+1)^(3/2)*(5*x+3)^(3/2)*(3*x+2)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \left(-425250000 x^{6}-427275000 x^{5}+325390500 x^{4}+399904650 x^{3}-5919690 x^{2}-74366940 x -4971289 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2457910 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-11664720\right)}{191362500 x^{3}+146711250 x^{2}-44651250 x -38272500}"," ",0,"1/6378750*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-425250000*x^6+2457910*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-4971289*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-427275000*x^5+325390500*x^4+399904650*x^3-5919690*x^2-74366940*x-11664720)/(30*x^3+23*x^2-7*x-6)","C"
2711,1,150,116,0.014000," ","int((-2*x+1)^(3/2)*(5*x+3)^(3/2)/(3*x+2)^(1/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \left(4050000 x^{5}+513000 x^{4}-4283100 x^{3}-1240890 x^{2}+833610 x +59866 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1085 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+270180\right)}{141750 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/141750*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(1085*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+59866*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+4050000*x^5+513000*x^4-4283100*x^3-1240890*x^2+833610*x+270180)/(30*x^3+23*x^2-7*x-6)","C"
2712,1,145,116,0.021000," ","int((-2*x+1)^(3/2)*(5*x+3)^(3/2)/(3*x+2)^(3/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \left(-27000 x^{4}+27900 x^{3}+54060 x^{2}-4890 x -2209 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+10360 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-12870\right)}{60750 x^{3}+46575 x^{2}-14175 x -12150}"," ",0,"1/2025*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(10360*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2209*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-27000*x^4+27900*x^3+54060*x^2-4890*x-12870)/(30*x^3+23*x^2-7*x-6)","C"
2713,1,224,116,0.021000," ","int((-2*x+1)^(3/2)*(5*x+3)^(3/2)/(3*x+2)^(5/2),x)","-\frac{\left(5400 x^{4}+34380 x^{3}+21504 x^{2}-1776 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+13161 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-8178 x -1184 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+8774 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-5922\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{243 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{3}{2}}}"," ",0,"-1/243*(13161*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1776*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+8774*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1184*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+5400*x^4+34380*x^3+21504*x^2-8178*x-5922)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(3/2)","C"
2714,1,314,116,0.023000," ","int((-2*x+1)^(3/2)*(5*x+3)^(3/2)/(3*x+2)^(7/2),x)","\frac{2 \left(501930 x^{4}+672813 x^{3}-19881 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+93240 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+105153 x^{2}-26508 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+124320 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-167439 x -8836 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+41440 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-58041\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{2835 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{5}{2}}}"," ",0,"2/2835*(93240*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-19881*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+124320*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-26508*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+41440*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-8836*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+501930*x^4+672813*x^3+105153*x^2-167439*x-58041)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(5/2)","C"
2715,1,409,139,0.024000," ","int((-2*x+1)^(3/2)*(5*x+3)^(3/2)/(3*x+2)^(9/2),x)","-\frac{2 \left(-48491460 x^{5}-106403976 x^{4}+1616382 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+29295 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-65053845 x^{3}+3232764 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+58590 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+7940859 x^{2}+2155176 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+39060 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+19275639 x +478928 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+8680 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4674303\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{138915 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{7}{2}}}"," ",0,"-2/138915*(29295*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1616382*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+58590*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+3232764*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+39060*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+2155176*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+8680*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+478928*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-48491460*x^5-106403976*x^4-65053845*x^3+7940859*x^2+19275639*x+4674303)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(7/2)","C"
2716,1,504,162,0.026000," ","int((-2*x+1)^(3/2)*(5*x+3)^(3/2)/(3*x+2)^(11/2),x)","\frac{2 \left(24160464540 x^{6}+67640314734 x^{5}-805348818 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+398181420 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+65420563896 x^{4}-2147596848 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1061817120 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+16854206499 x^{3}-2147596848 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1061817120 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-11834509785 x^{2}-954487488 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+471918720 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-8439189081 x -159081248 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+78653120 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1508606163\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{8751645 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{9}{2}}}"," ",0,"2/8751645*(398181420*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-805348818*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1061817120*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2147596848*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1061817120*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2147596848*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+471918720*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-954487488*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+24160464540*x^6+78653120*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-159081248*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+67640314734*x^5+65420563896*x^4+16854206499*x^3-11834509785*x^2-8439189081*x-1508606163)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(9/2)","C"
2717,1,599,185,0.027000," ","int((-2*x+1)^(3/2)*(5*x+3)^(3/2)/(3*x+2)^(13/2),x)","-\frac{2 \left(-5271974268480 x^{7}-18277348274028 x^{6}+175732475616 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{5} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-88451642790 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{5} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-24104934646074 x^{5}+585774918720 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-294838809300 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-13177956562506 x^{4}+781033224960 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-393118412400 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+132608462283 x^{3}+520688816640 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-262078941600 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3558643880307 x^{2}+173562938880 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-87359647200 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1555703477439 x +23141725184 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-11647952960 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+219583592019\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{224625555 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{11}{2}}}"," ",0,"-2/224625555*(175732475616*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^5*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-88451642790*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^5*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+585774918720*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-294838809300*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+781033224960*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-393118412400*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+520688816640*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-262078941600*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-5271974268480*x^7+173562938880*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-87359647200*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-18277348274028*x^6+23141725184*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-11647952960*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-24104934646074*x^5-13177956562506*x^4+132608462283*x^3+3558643880307*x^2+1555703477439*x+219583592019)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(11/2)","C"
2718,1,170,208,0.025000," ","int((-2*x+1)^(3/2)*(3*x+2)^(5/2)*(5*x+3)^(5/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(-492567075000000 x^{9}-1562321722500000 x^{8}-1592905277250000 x^{7}-33511953825000 x^{6}+1050958443600000 x^{5}+633067124890500 x^{4}-67989068522100 x^{3}-162128981218890 x^{2}-22684068454890 x -3344364736684 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1684482853585 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+7996827483180\right)}{8209451250000 x^{3}+6293912625000 x^{2}-1915538625000 x -1641890250000}"," ",0,"1/273648375000*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-492567075000000*x^9-1562321722500000*x^8-1592905277250000*x^7-33511953825000*x^6+1684482853585*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-3344364736684*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+1050958443600000*x^5+633067124890500*x^4-67989068522100*x^3-162128981218890*x^2-22684068454890*x+7996827483180)/(30*x^3+23*x^2-7*x-6)","C"
2719,1,165,185,0.013000," ","int((-2*x+1)^(3/2)*(3*x+2)^(3/2)*(5*x+3)^(5/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(-1262992500000 x^{8}-3096245250000 x^{7}-1783541025000 x^{6}+1405783957500 x^{5}+1870998115500 x^{4}+236537814150 x^{3}-380468567640 x^{2}-100883569890 x -9380126059 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4724721085 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+12114378180\right)}{54729675000 x^{3}+41959417500 x^{2}-12770257500 x -10945935000}"," ",0,"1/1824322500*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-1262992500000*x^8-3096245250000*x^7-1783541025000*x^6+4724721085*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-9380126059*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+1405783957500*x^5+1870998115500*x^4+236537814150*x^3-380468567640*x^2-100883569890*x+12114378180)/(30*x^3+23*x^2-7*x-6)","C"
2720,1,160,162,0.013000," ","int((-2*x+1)^(3/2)*(5*x+3)^(5/2)*(3*x+2)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \left(-22963500000 x^{7}-39208050000 x^{6}-1450305000 x^{5}+30477235500 x^{4}+12473188200 x^{3}-4930627170 x^{2}-2715488670 x -195080002 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+98384755 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-36224460\right)}{2525985000 x^{3}+1936588500 x^{2}-589396500 x -505197000}"," ",0,"1/84199500*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-22963500000*x^7-39208050000*x^6+98384755*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-195080002*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1450305000*x^5+30477235500*x^4+12473188200*x^3-4930627170*x^2-2715488670*x-36224460)/(30*x^3+23*x^2-7*x-6)","C"
2721,1,155,139,0.014000," ","int((-2*x+1)^(3/2)*(5*x+3)^(5/2)/(3*x+2)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \left(-85050000 x^{6}-78165000 x^{5}+66001500 x^{4}+72271350 x^{3}-3417540 x^{2}-13372890 x -886499 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+493535 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1846620\right)}{22963500 x^{3}+17605350 x^{2}-5358150 x -4592700}"," ",0,"1/765450*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-85050000*x^6+493535*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-886499*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-78165000*x^5+66001500*x^4+72271350*x^3-3417540*x^2-13372890*x-1846620)/(30*x^3+23*x^2-7*x-6)","C"
2722,1,150,139,0.020000," ","int((-2*x+1)^(3/2)*(5*x+3)^(5/2)/(3*x+2)^(3/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \left(810000 x^{5}+27000 x^{4}-778500 x^{3}-96810 x^{2}+153030 x +5788 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+29225 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+18000\right)}{17010 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/17010*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(29225*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+5788*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+810000*x^5+27000*x^4-778500*x^3-96810*x^2+153030*x+18000)/(30*x^3+23*x^2-7*x-6)","C"
2723,1,229,139,0.024000," ","int((-2*x+1)^(3/2)*(5*x+3)^(5/2)/(3*x+2)^(5/2),x)","\frac{\left(-243000 x^{5}+116100 x^{4}+825840 x^{3}+387870 x^{2}-28761 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+159045 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-186060 x -19174 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+106030 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-106830\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{3645 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{3}{2}}}"," ",0,"1/3645*(159045*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-28761*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+106030*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-19174*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-243000*x^5+116100*x^4+825840*x^3+387870*x^2-186060*x-106830)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(3/2)","C"
2724,1,319,139,0.023000," ","int((-2*x+1)^(3/2)*(5*x+3)^(5/2)/(3*x+2)^(7/2),x)","-\frac{\left(2835000 x^{5}+22951080 x^{4}+27359478 x^{3}-1051686 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+7468965 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3863868 x^{2}-1402248 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+9958620 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-6975984 x -467416 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3319540 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2420946\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{25515 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{5}{2}}}"," ",0,"-1/25515*(7468965*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1051686*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+9958620*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1402248*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+3319540*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-467416*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+2835000*x^5+22951080*x^4+27359478*x^3+3863868*x^2-6975984*x-2420946)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(5/2)","C"
2725,1,409,139,0.024000," ","int((-2*x+1)^(3/2)*(5*x+3)^(5/2)/(3*x+2)^(9/2),x)","\frac{2 \left(320427090 x^{5}+634059279 x^{4}-12996153 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+68560695 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+341911980 x^{3}-25992306 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+137121390 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-63601836 x^{2}-17328204 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+91414260 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-105429606 x -3850712 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+20314280 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-23765787\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{416745 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{7}{2}}}"," ",0,"2/416745*(68560695*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-12996153*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+137121390*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-25992306*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+91414260*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-17328204*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+20314280*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-3850712*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+320427090*x^5+634059279*x^4+341911980*x^3-63601836*x^2-105429606*x-23765787)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(7/2)","C"
2726,1,504,162,0.024000," ","int((-2*x+1)^(3/2)*(5*x+3)^(5/2)/(3*x+2)^(11/2),x)","-\frac{2 \left(-21663965160 x^{6}-63461062386 x^{5}+722132172 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+425865195 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-63089824509 x^{4}+1925685792 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1135640520 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-16625604096 x^{3}+1925685792 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1135640520 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+11383710240 x^{2}+855860352 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+504729120 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+8121679824 x +142643392 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+84121520 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1436204727\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{26254935 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{9}{2}}}"," ",0,"-2/26254935*(425865195*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+722132172*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1135640520*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1925685792*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1135640520*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1925685792*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+504729120*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+855860352*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-21663965160*x^6+84121520*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+142643392*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-63461062386*x^5-63089824509*x^4-16625604096*x^3+11383710240*x^2+8121679824*x+1436204727)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(9/2)","C"
2727,1,599,185,0.026000," ","int((-2*x+1)^(3/2)*(5*x+3)^(5/2)/(3*x+2)^(13/2),x)","\frac{2 \left(12089413738260 x^{7}+41896076391486 x^{6}-402980457942 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{5} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+194544611730 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{5} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+55328989706838 x^{5}-1343268193140 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+648482039100 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+30306573018747 x^{4}-1791024257520 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+864642718800 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-293294410596 x^{3}-1194016171680 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+576428479200 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-8183904282084 x^{2}-398005390560 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+192142826400 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-3573505278318 x -53067385408 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+25619043520 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-502875969453\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{2021629995 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{11}{2}}}"," ",0,"2/2021629995*(194544611730*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^5*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-402980457942*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^5*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+648482039100*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1343268193140*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+864642718800*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1791024257520*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+576428479200*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1194016171680*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+12089413738260*x^7+192142826400*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-398005390560*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+41896076391486*x^6+25619043520*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-53067385408*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+55328989706838*x^5+30306573018747*x^4-293294410596*x^3-8183904282084*x^2-3573505278318*x-502875969453)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(11/2)","C"
2728,1,694,208,0.046000," ","int((-2*x+1)^(3/2)*(5*x+3)^(5/2)/(3*x+2)^(15/2),x)","-\frac{2 \left(-2682163745327160 x^{8}-11086773017544216 x^{7}+89405458177572 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{6} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-44950830851430 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{6} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-18462351947377842 x^{6}+357621832710288 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{5} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-179803323405720 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{5} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-14880670165585224 x^{5}+596036387850480 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-299672205676200 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-4403137275106857 x^{4}+529810122533760 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-266375293934400 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1855445492717208 x^{3}+264905061266880 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-133187646967200 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1998778232441424 x^{2}+70641349671168 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-35516705857920 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+639405497204220 x +7849038852352 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-3946300650880 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+74455894574127\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{61322776515 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{13}{2}}}"," ",0,"-2/61322776515*(89405458177572*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^6*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-44950830851430*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^6*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+357621832710288*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^5*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-179803323405720*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^5*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+596036387850480*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-299672205676200*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+529810122533760*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-266375293934400*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2682163745327160*x^8+264905061266880*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-133187646967200*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-11086773017544216*x^7+70641349671168*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-35516705857920*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-18462351947377842*x^6+7849038852352*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-3946300650880*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-14880670165585224*x^5-4403137275106857*x^4+1855445492717208*x^3+1998778232441424*x^2+639405497204220*x+74455894574127)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(13/2)","C"
2729,1,155,139,0.014000," ","int((-2*x+1)^(3/2)*(3*x+2)^(5/2)/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(-425250000 x^{6}-500175000 x^{5}+305950500 x^{4}+486034650 x^{3}+31722810 x^{2}-91264440 x -6515539 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3061660 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-19899720\right)}{531562500 x^{3}+407531250 x^{2}-124031250 x -106312500}"," ",0,"1/17718750*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-425250000*x^6+3061660*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-6515539*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-500175000*x^5+305950500*x^4+486034650*x^3+31722810*x^2-91264440*x-19899720)/(30*x^3+23*x^2-7*x-6)","C"
2730,1,150,116,0.014000," ","int((-2*x+1)^(3/2)*(3*x+2)^(3/2)/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(-4050000 x^{5}-1269000 x^{4}+4938300 x^{3}+2363970 x^{2}-970530 x -92318 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+17045 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-517140\right)}{11812500 x^{3}+9056250 x^{2}-2756250 x -2362500}"," ",0,"1/393750*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(17045*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-92318*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-4050000*x^5-1269000*x^4+4938300*x^3+2363970*x^2-970530*x-517140)/(30*x^3+23*x^2-7*x-6)","C"
2731,1,145,93,0.013000," ","int((-2*x+1)^(3/2)*(3*x+2)^(1/2)/(5*x+3)^(1/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(81000 x^{4}-65700 x^{3}-116880 x^{2}+13620 x +2797 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+7070 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+25560\right)}{16875 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/16875*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(7070*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+2797*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+81000*x^4-65700*x^3-116880*x^2+13620*x+25560)/(30*x^3+23*x^2-7*x-6)","C"
2732,1,140,70,0.016000," ","int((-2*x+1)^(3/2)/(3*x+2)^(1/2)/(5*x+3)^(1/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(1800 x^{3}+1380 x^{2}-420 x -272 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3605 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-360\right)}{675 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/675*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(3605*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-272*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+1800*x^3+1380*x^2-420*x-360)/(30*x^3+23*x^2-7*x-6)","C"
2733,1,135,70,0.020000," ","int((-2*x+1)^(3/2)/(3*x+2)^(3/2)/(5*x+3)^(1/2),x)","\frac{2 \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(1050 x^{2}+105 x -37 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+70 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-315\right)}{45 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"2/45*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(70*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-37*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+1050*x^2+105*x-315)/(30*x^3+23*x^2-7*x-6)","C"
2734,1,219,93,0.023000," ","int((-2*x+1)^(3/2)/(3*x+2)^(5/2)/(5*x+3)^(1/2),x)","\frac{2 \left(5580 x^{3}+4488 x^{2}-186 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+87 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1281 x -124 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+58 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1179\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{27 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{3}{2}}}"," ",0,"2/27*(87*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-186*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+58*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-124*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+5580*x^3+4488*x^2-1281*x-1179)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(3/2)","C"
2735,1,314,116,0.026000," ","int((-2*x+1)^(3/2)/(3*x+2)^(7/2)/(5*x+3)^(1/2),x)","\frac{2 \left(2403540 x^{4}+3525714 x^{3}-80118 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+40320 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+733884 x^{2}-106824 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+53760 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-872967 x -35608 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+17920 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-337923\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{945 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{5}{2}}}"," ",0,"2/945*(40320*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-80118*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+53760*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-106824*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+17920*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-35608*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+2403540*x^4+3525714*x^3+733884*x^2-872967*x-337923)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(5/2)","C"
2736,1,409,139,0.026000," ","int((-2*x+1)^(3/2)/(3*x+2)^(9/2)/(5*x+3)^(1/2),x)","-\frac{2 \left(-508498560 x^{5}-1084921236 x^{4}+16949952 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-8537130 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-652476870 x^{3}+33899904 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-17074260 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+81182874 x^{2}+22599936 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-11382840 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+194598129 x +5022208 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2529520 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+47662983\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{15435 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{7}{2}}}"," ",0,"-2/15435*(16949952*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-8537130*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+33899904*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-17074260*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+22599936*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-11382840*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+5022208*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2529520*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-508498560*x^5-1084921236*x^4-652476870*x^3+81182874*x^2+194598129*x+47662983)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(7/2)","C"
2737,1,155,162,0.021000," ","int((-2*x+1)^(3/2)*(3*x+2)^(7/2)/(5*x+3)^(3/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(-85050000 x^{6}-107325000 x^{5}+58225500 x^{4}+106572150 x^{3}+11274060 x^{2}-20138190 x -1473539 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+441035 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-5027220\right)}{177187500 x^{3}+135843750 x^{2}-41343750 x -35437500}"," ",0,"1/5906250*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-85050000*x^6+441035*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1473539*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-107325000*x^5+58225500*x^4+106572150*x^3+11274060*x^2-20138190*x-5027220)/(30*x^3+23*x^2-7*x-6)","C"
2738,1,150,139,0.019000," ","int((-2*x+1)^(3/2)*(3*x+2)^(5/2)/(5*x+3)^(3/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(4050000 x^{5}+1647000 x^{4}-5202900 x^{3}-2738610 x^{2}+1047390 x +94684 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+95165 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+581820\right)}{656250 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/656250*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(95165*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+94684*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+4050000*x^5+1647000*x^4-5202900*x^3-2738610*x^2+1047390*x+581820)/(30*x^3+23*x^2-7*x-6)","C"
2739,1,145,116,0.019000," ","int((-2*x+1)^(3/2)*(3*x+2)^(3/2)/(5*x+3)^(3/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(27000 x^{4}-18900 x^{3}-26760 x^{2}+5490 x +169 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+8015 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4620\right)}{9375 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/9375*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(8015*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+169*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+27000*x^4-18900*x^3-26760*x^2+5490*x+4620)/(30*x^3+23*x^2-7*x-6)","C"
2740,1,140,93,0.018000," ","int((-2*x+1)^(3/2)*(3*x+2)^(1/2)/(5*x+3)^(3/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(1800 x^{3}+7320 x^{2}+570 x -458 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3395 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2340\right)}{1125 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/1125*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(3395*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-458*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+1800*x^3+7320*x^2+570*x-2340)/(30*x^3+23*x^2-7*x-6)","C"
2741,1,135,70,0.020000," ","int((-2*x+1)^(3/2)/(5*x+3)^(3/2)/(3*x+2)^(1/2),x)","\frac{2 \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \left(-990 x^{2}-165 x +31 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+35 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+330\right)}{75 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"2/75*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(35*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+31*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-990*x^2-165*x+330)/(30*x^3+23*x^2-7*x-6)","C"
2742,1,135,93,0.021000," ","int((-2*x+1)^(3/2)/(3*x+2)^(3/2)/(5*x+3)^(3/2),x)","-\frac{2 \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(2040 x^{2}+270 x -68 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+35 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-645\right)}{15 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-2/15*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(35*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-68*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+2040*x^2+270*x-645)/(30*x^3+23*x^2-7*x-6)","C"
2743,1,219,116,0.025000," ","int((-2*x+1)^(3/2)/(3*x+2)^(5/2)/(5*x+3)^(3/2),x)","-\frac{2 \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(23940 x^{3}+19158 x^{2}-798 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+402 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-5466 x -532 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+268 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-5049\right)}{9 \left(3 x +2\right)^{\frac{3}{2}} \left(10 x^{2}+x -3\right)}"," ",0,"-2/9*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(402*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-798*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+268*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-532*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+23940*x^3+19158*x^2-5466*x-5049)/(3*x+2)^(3/2)/(10*x^2+x-3)","C"
2744,1,314,139,0.025000," ","int((-2*x+1)^(3/2)/(3*x+2)^(7/2)/(5*x+3)^(3/2),x)","\frac{2 \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-4990680 x^{4}-7320888 x^{3}+166356 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-83790 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1523178 x^{2}+221808 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-111720 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1812264 x +73936 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-37240 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+701691\right)}{105 \left(3 x +2\right)^{\frac{5}{2}} \left(10 x^{2}+x -3\right)}"," ",0,"2/105*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(166356*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-83790*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+221808*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-111720*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+73936*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-37240*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-4990680*x^4-7320888*x^3-1523178*x^2+1812264*x+701691)/(3*x+2)^(5/2)/(10*x^2+x-3)","C"
2745,1,409,162,0.031000," ","int((-2*x+1)^(3/2)/(3*x+2)^(9/2)/(5*x+3)^(3/2),x)","\frac{2 \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-4176648360 x^{5}-8911207116 x^{4}+139221612 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-70122780 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-5359247820 x^{3}+278443224 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-140245560 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+666839694 x^{2}+185628816 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-93497040 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1598350374 x +41250848 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-20777120 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+391491573\right)}{5145 \left(3 x +2\right)^{\frac{7}{2}} \left(10 x^{2}+x -3\right)}"," ",0,"2/5145*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(139221612*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-70122780*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+278443224*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-140245560*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+185628816*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-93497040*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+41250848*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-20777120*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-4176648360*x^5-8911207116*x^4-5359247820*x^3+666839694*x^2+1598350374*x+391491573)/(3*x+2)^(7/2)/(10*x^2+x-3)","C"
2746,1,234,162,0.025000," ","int((-2*x+1)^(3/2)*(3*x+2)^(7/2)/(5*x+3)^(5/2),x)","-\frac{\left(12150000 x^{6}+13365000 x^{5}-12631500 x^{4}-18488250 x^{3}-1794020 x^{2}+256430 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+840175 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3800330 x +153858 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+504105 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1041340\right) \sqrt{3 x +2}\, \sqrt{-2 x +1}}{656250 \left(6 x^{2}+x -2\right) \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"-1/656250*(840175*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+256430*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+12150000*x^6+504105*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+153858*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+13365000*x^5-12631500*x^4-18488250*x^3-1794020*x^2+3800330*x+1041340)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)/(6*x^2+x-2)/(5*x+3)^(3/2)","C"
2747,1,229,139,0.023000," ","int((-2*x+1)^(3/2)*(3*x+2)^(5/2)/(5*x+3)^(5/2),x)","-\frac{\left(405000 x^{5}+4500 x^{4}-324000 x^{3}-2390 x^{2}-9865 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+198100 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+60560 x -5919 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+118860 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2120\right) \sqrt{3 x +2}\, \sqrt{-2 x +1}}{46875 \left(6 x^{2}+x -2\right) \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"-1/46875*(198100*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-9865*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+118860*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-5919*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+405000*x^5+4500*x^4-324000*x^3-2390*x^2+60560*x-2120)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)/(6*x^2+x-2)/(5*x+3)^(3/2)","C"
2748,1,224,116,0.023000," ","int((-2*x+1)^(3/2)*(3*x+2)^(3/2)/(5*x+3)^(5/2),x)","-\frac{\left(9000 x^{4}+49500 x^{3}+31220 x^{2}-2480 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+15575 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-11630 x -1488 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+9345 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-8740\right) \sqrt{3 x +2}\, \sqrt{-2 x +1}}{1875 \left(6 x^{2}+x -2\right) \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"-1/1875*(15575*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2480*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+9345*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1488*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+9000*x^4+49500*x^3+31220*x^2-11630*x-8740)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)/(6*x^2+x-2)/(5*x+3)^(3/2)","C"
2749,1,219,93,0.023000," ","int((-2*x+1)^(3/2)*(3*x+2)^(1/2)/(5*x+3)^(5/2),x)","\frac{2 \left(-3750 x^{3}-3205 x^{2}+95 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+700 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+820 x +57 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+420 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+860\right) \sqrt{3 x +2}\, \sqrt{-2 x +1}}{375 \left(6 x^{2}+x -2\right) \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"2/375*(700*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+95*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+420*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+57*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-3750*x^3-3205*x^2+820*x+860)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)/(6*x^2+x-2)/(5*x+3)^(3/2)","C"
2750,1,219,93,0.022000," ","int((-2*x+1)^(3/2)/(5*x+3)^(5/2)/(3*x+2)^(1/2),x)","\frac{2 \left(11100 x^{3}+8180 x^{2}-370 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+175 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2645 x -222 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+105 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2110\right) \sqrt{3 x +2}\, \sqrt{-2 x +1}}{75 \left(6 x^{2}+x -2\right) \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"2/75*(175*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-370*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+105*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-222*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+11100*x^3+8180*x^2-2645*x-2110)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)/(6*x^2+x-2)/(5*x+3)^(3/2)","C"
2751,1,219,116,0.026000," ","int((-2*x+1)^(3/2)/(3*x+2)^(3/2)/(5*x+3)^(5/2),x)","\frac{2 \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \left(41700 x^{3}+30590 x^{2}-1390 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+700 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-9890 x -834 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+420 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-7915\right)}{15 \left(5 x +3\right)^{\frac{3}{2}} \left(6 x^{2}+x -2\right)}"," ",0,"2/15*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(700*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1390*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+420*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-834*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+41700*x^3+30590*x^2-9890*x-7915)/(5*x+3)^(3/2)/(6*x^2+x-2)","C"
2752,1,311,139,0.027000," ","int((-2*x+1)^(3/2)/(3*x+2)^(5/2)/(5*x+3)^(5/2),x)","\frac{2 \sqrt{-2 x +1}\, \left(244800 x^{4}+342780 x^{3}-8160 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4110 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+61654 x^{2}-10336 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+5206 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-85168 x -3264 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1644 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-30977\right)}{3 \left(3 x +2\right)^{\frac{3}{2}} \left(5 x +3\right)^{\frac{3}{2}} \left(2 x -1\right)}"," ",0,"2/3*(-2*x+1)^(1/2)*(4110*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-8160*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+5206*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-10336*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1644*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-3264*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+244800*x^4+342780*x^3+61654*x^2-85168*x-30977)/(3*x+2)^(3/2)/(5*x+3)^(3/2)/(2*x-1)","C"
2753,1,406,162,0.029000," ","int((-2*x+1)^(3/2)/(3*x+2)^(7/2)/(5*x+3)^(5/2),x)","-\frac{2 \sqrt{-2 x +1}\, \left(-203380200 x^{5}-420368940 x^{4}+6779340 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-3414600 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-241077012 x^{3}+13106724 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-6601560 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+36609658 x^{2}+8436512 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-4249280 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+72907466 x +1807824 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-910560 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+17157169\right)}{105 \left(3 x +2\right)^{\frac{5}{2}} \left(5 x +3\right)^{\frac{3}{2}} \left(2 x -1\right)}"," ",0,"-2/105*(-2*x+1)^(1/2)*(6779340*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-3414600*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+13106724*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-6601560*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+8436512*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-4249280*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1807824*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-910560*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-203380200*x^5-420368940*x^4-241077012*x^3+36609658*x^2+72907466*x+17157169)/(3*x+2)^(5/2)/(5*x+3)^(3/2)/(2*x-1)","C"
2754,1,165,185,0.012000," ","int((-2*x+1)^(5/2)*(3*x+2)^(5/2)*(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(841995000000 x^{8}+1035909000000 x^{7}-739594800000 x^{6}-1183572000000 x^{5}+248043343500 x^{4}+572236008300 x^{3}+33887974470 x^{2}-86298997530 x -4653552268 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2349857545 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-15193993140\right)}{152026875000 x^{3}+116553937500 x^{2}-35472937500 x -30405375000}"," ",0,"1/5067562500*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(841995000000*x^8+1035909000000*x^7-739594800000*x^6+2349857545*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-4653552268*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1183572000000*x^5+248043343500*x^4+572236008300*x^3+33887974470*x^2-86298997530*x-15193993140)/(30*x^3+23*x^2-7*x-6)","C"
2755,1,160,162,0.013000," ","int((-2*x+1)^(5/2)*(3*x+2)^(3/2)*(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(38272500000 x^{7}+17010000000 x^{6}-50560200000 x^{5}-14779638000 x^{4}+29711102850 x^{3}+9525219690 x^{2}-4914918060 x -326256461 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+169899590 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1698785280\right)}{17541562500 x^{3}+13448531250 x^{2}-4093031250 x -3508312500}"," ",0,"1/584718750*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(38272500000*x^7+17010000000*x^6+169899590*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-326256461*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-50560200000*x^5-14779638000*x^4+29711102850*x^3+9525219690*x^2-4914918060*x-1698785280)/(30*x^3+23*x^2-7*x-6)","C"
2756,1,155,139,0.010000," ","int((-2*x+1)^(5/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(850500000 x^{6}-348300000 x^{5}-915408000 x^{4}+575805600 x^{3}+551942790 x^{2}-120636210 x -13599226 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+9945565 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-94834980\right)}{956812500 x^{3}+733556250 x^{2}-223256250 x -191362500}"," ",0,"1/31893750*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(850500000*x^6+9945565*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-13599226*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-348300000*x^5-915408000*x^4+575805600*x^3+551942790*x^2-120636210*x-94834980)/(30*x^3+23*x^2-7*x-6)","C"
2757,1,150,116,0.012000," ","int((-2*x+1)^(5/2)*(5*x+3)^(1/2)/(3*x+2)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \left(1350000 x^{5}-1908000 x^{4}+489600 x^{3}+2763390 x^{2}-125610 x -86741 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+281540 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-612180\right)}{3543750 x^{3}+2716875 x^{2}-826875 x -708750}"," ",0,"1/118125*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(281540*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-86741*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+1350000*x^5-1908000*x^4+489600*x^3+2763390*x^2-125610*x-612180)/(30*x^3+23*x^2-7*x-6)","C"
2758,1,145,116,0.020000," ","int((-2*x+1)^(5/2)*(5*x+3)^(1/2)/(3*x+2)^(3/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \left(-54000 x^{4}+154800 x^{3}+530520 x^{2}+1770 x -31588 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+242095 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-149490\right)}{10125 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/10125*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(242095*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-31588*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-54000*x^4+154800*x^3+530520*x^2+1770*x-149490)/(30*x^3+23*x^2-7*x-6)","C"
2759,1,224,116,0.022000," ","int((-2*x+1)^(5/2)*(5*x+3)^(1/2)/(3*x+2)^(5/2),x)","\frac{2 \left(5400 x^{4}+162090 x^{3}+112485 x^{2}-6627 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+31080 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-38670 x -4418 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+20720 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-29385\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{1215 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{3}{2}}}"," ",0,"2/1215*(31080*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-6627*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+20720*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-4418*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+5400*x^4+162090*x^3+112485*x^2-38670*x-29385)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(3/2)","C"
2760,1,314,116,0.022000," ","int((-2*x+1)^(5/2)*(5*x+3)^(1/2)/(3*x+2)^(7/2),x)","-\frac{2 \left(-5060 x^{4}-7696 x^{3}+162 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+135 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1691 x^{2}+216 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+180 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1908 x +72 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+60 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+747\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{15 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{5}{2}}}"," ",0,"-2/15*(135*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+162*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+180*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+216*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+60*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+72*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-5060*x^4-7696*x^3-1691*x^2+1908*x+747)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(5/2)","C"
2761,1,409,139,0.024000," ","int((-2*x+1)^(5/2)*(5*x+3)^(1/2)/(3*x+2)^(9/2),x)","\frac{2 \left(14601060 x^{5}+31115826 x^{4}-486702 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+253260 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+18715464 x^{3}-973404 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+506520 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2327925 x^{2}-648936 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+337680 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-5583486 x -144208 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+75040 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1366731\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{3969 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{7}{2}}}"," ",0,"2/3969*(253260*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-486702*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+506520*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-973404*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+337680*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-648936*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+75040*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-144208*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+14601060*x^5+31115826*x^4+18715464*x^3-2327925*x^2-5583486*x-1366731)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(7/2)","C"
2762,1,504,162,0.026000," ","int((-2*x+1)^(5/2)*(5*x+3)^(1/2)/(3*x+2)^(11/2),x)","\frac{2 \left(9489616560 x^{6}+26573361876 x^{5}-316320552 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+159378030 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+25673661234 x^{4}-843521472 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+425008080 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+6602638302 x^{3}-843521472 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+425008080 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-4641436149 x^{2}-374898432 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+188892480 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-3310586232 x -62483072 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+31482080 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-592974279\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{250047 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{9}{2}}}"," ",0,"2/250047*(159378030*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-316320552*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+425008080*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-843521472*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+425008080*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-843521472*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+188892480*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-374898432*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+9489616560*x^6+31482080*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-62483072*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+26573361876*x^5+25673661234*x^4+6602638302*x^3-4641436149*x^2-3310586232*x-592974279)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(9/2)","C"
2763,1,599,185,0.026000," ","int((-2*x+1)^(5/2)*(5*x+3)^(1/2)/(3*x+2)^(13/2),x)","-\frac{2 \left(-901804521960 x^{7}-3126476999556 x^{6}+30060150732 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{5} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-15140737080 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{5} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-4123376977248 x^{5}+100200502440 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-50469123600 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2254018771062 x^{4}+133600669920 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-67292164800 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+22795632684 x^{3}+89067113280 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-44861443200 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+608665287387 x^{2}+29689037760 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-14953814400 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+266088118854 x +3958538368 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1993841920 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+37568419317\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{2139291 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{11}{2}}}"," ",0,"-2/2139291*(30060150732*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^5*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-15140737080*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^5*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+100200502440*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-50469123600*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+133600669920*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-67292164800*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+89067113280*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-44861443200*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-901804521960*x^7+29689037760*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-14953814400*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-3126476999556*x^6+3958538368*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1993841920*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-4123376977248*x^5-2254018771062*x^4+22795632684*x^3+608665287387*x^2+266088118854*x+37568419317)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(11/2)","C"
2764,1,170,208,0.012000," ","int((-2*x+1)^(5/2)*(3*x+2)^(5/2)*(5*x+3)^(3/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(492567075000000 x^{9}+937140435000000 x^{8}+11007171000000 x^{7}-937455630300000 x^{6}-362238910312500 x^{5}+361521647968500 x^{4}+215604575302050 x^{3}-36835025076780 x^{2}-33779897017530 x -1764163292393 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+888487137545 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2188003378140\right)}{20523628125000 x^{3}+15734781562500 x^{2}-4788846562500 x -4104725625000}"," ",0,"1/684120937500*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(492567075000000*x^9+937140435000000*x^8+11007171000000*x^7-937455630300000*x^6+888487137545*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1764163292393*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-362238910312500*x^5+361521647968500*x^4+215604575302050*x^3-36835025076780*x^2-33779897017530*x-2188003378140)/(30*x^3+23*x^2-7*x-6)","C"
2765,1,165,185,0.014000," ","int((-2*x+1)^(5/2)*(3*x+2)^(3/2)*(5*x+3)^(3/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(12629925000000 x^{8}+14543550000000 x^{7}-11536182000000 x^{6}-16439014800000 x^{5}+4104920740500 x^{4}+7811051450400 x^{3}+260663905110 x^{2}-1166697093390 x -61320616034 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+30830473835 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-183741479820\right)}{1368241875000 x^{3}+1048985437500 x^{2}-319256437500 x -273648375000}"," ",0,"1/45608062500*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(12629925000000*x^8+14543550000000*x^7-11536182000000*x^6+30830473835*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-61320616034*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-16439014800000*x^5+4104920740500*x^4+7811051450400*x^3+260663905110*x^2-1166697093390*x-183741479820)/(30*x^3+23*x^2-7*x-6)","C"
2766,1,160,162,0.015000," ","int((-2*x+1)^(5/2)*(5*x+3)^(3/2)*(3*x+2)^(1/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \left(-114817500000 x^{7}-41674500000 x^{6}+147849300000 x^{5}+34269426000 x^{4}-82799446950 x^{3}-22504288380 x^{2}+13417755870 x +829177897 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-400297555 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4053171060\right)}{1052493750 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/1052493750*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-114817500000*x^7-41674500000*x^6+829177897*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-400297555*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+147849300000*x^5+34269426000*x^4-82799446950*x^3-22504288380*x^2+13417755870*x+4053171060)/(30*x^3+23*x^2-7*x-6)","C"
2767,1,155,139,0.011000," ","int((-2*x+1)^(5/2)*(5*x+3)^(3/2)/(3*x+2)^(1/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \left(-850500000 x^{6}+421200000 x^{5}+812376000 x^{4}-549367200 x^{3}-402719730 x^{2}+113853270 x +8915212 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+5257595 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+61777260\right)}{19136250 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/19136250*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-850500000*x^6+5257595*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+8915212*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+421200000*x^5+812376000*x^4-549367200*x^3-402719730*x^2+113853270*x+61777260)/(30*x^3+23*x^2-7*x-6)","C"
2768,1,150,139,0.020000," ","int((-2*x+1)^(5/2)*(5*x+3)^(3/2)/(3*x+2)^(3/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \left(4050000 x^{5}-6102000 x^{4}+2552400 x^{3}+12003810 x^{2}-364440 x -481339 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2539285 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2882970\right)}{6378750 x^{3}+4890375 x^{2}-1488375 x -1275750}"," ",0,"1/212625*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(2539285*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-481339*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+4050000*x^5-6102000*x^4+2552400*x^3+12003810*x^2-364440*x-2882970)/(30*x^3+23*x^2-7*x-6)","C"
2769,1,229,139,0.024000," ","int((-2*x+1)^(5/2)*(5*x+3)^(3/2)/(3*x+2)^(5/2),x)","-\frac{\left(-486000 x^{5}+1123200 x^{4}+7324380 x^{3}+4323900 x^{2}-350562 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2489655 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1721490 x -233708 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1659770 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1190790\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{18225 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{3}{2}}}"," ",0,"-1/18225*(2489655*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-350562*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1659770*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-233708*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-486000*x^5+1123200*x^4+7324380*x^3+4323900*x^2-1721490*x-1190790)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(3/2)","C"
2770,1,319,139,0.023000," ","int((-2*x+1)^(5/2)*(5*x+3)^(3/2)/(3*x+2)^(7/2),x)","\frac{2 \left(81000 x^{5}+2075490 x^{4}+2684799 x^{3}-86283 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+477135 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+407829 x^{2}-115044 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+636180 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-672927 x -38348 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+212060 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-233343\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{3645 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{5}{2}}}"," ",0,"2/3645*(477135*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-86283*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+636180*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-115044*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+212060*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-38348*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+81000*x^5+2075490*x^4+2684799*x^3+407829*x^2-672927*x-233343)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(5/2)","C"
2771,1,409,139,0.023000," ","int((-2*x+1)^(5/2)*(5*x+3)^(3/2)/(3*x+2)^(9/2),x)","-\frac{2 \left(-5482080 x^{5}-12818358 x^{4}+156276 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+789075 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-8359731 x^{3}+312552 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1578150 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+770541 x^{2}+208368 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1052100 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2429925 x +46304 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+233800 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+609831\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{11907 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{7}{2}}}"," ",0,"-2/11907*(789075*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+156276*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1578150*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+312552*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1052100*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+208368*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+233800*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+46304*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-5482080*x^5-12818358*x^4-8359731*x^3+770541*x^2+2429925*x+609831)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(7/2)","C"
2772,1,504,162,0.024000," ","int((-2*x+1)^(5/2)*(5*x+3)^(3/2)/(3*x+2)^(11/2),x)","\frac{2 \left(4308385140 x^{6}+12029761494 x^{5}-143612838 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+79952670 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+11615422626 x^{4}-382967568 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+213207120 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2988214893 x^{3}-382967568 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+213207120 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2101550871 x^{2}-170207808 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+94758720 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1498570743 x -28367968 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+15793120 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-268066251\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{750141 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{9}{2}}}"," ",0,"2/750141*(79952670*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-143612838*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+213207120*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-382967568*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+213207120*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-382967568*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+94758720*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-170207808*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+4308385140*x^6+15793120*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-28367968*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+12029761494*x^5+11615422626*x^4+2988214893*x^3-2101550871*x^2-1498570743*x-268066251)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(9/2)","C"
2773,1,599,185,0.027000," ","int((-2*x+1)^(5/2)*(5*x+3)^(3/2)/(3*x+2)^(13/2),x)","\frac{2 \left(2844266429160 x^{7}+9860944721976 x^{6}-94808880972 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{5} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+47814990930 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{5} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+13004174574558 x^{5}-316029603240 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+159383303100 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+7108597449432 x^{4}-421372804320 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+212511070800 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-71666565399 x^{3}-280915202880 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+141674047200 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1919645346207 x^{2}-93638400960 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+47224682400 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-839243621199 x -12485120128 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+6296624320 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-118474420977\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{57760857 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{11}{2}}}"," ",0,"2/57760857*(47814990930*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^5*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-94808880972*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^5*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+159383303100*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-316029603240*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+212511070800*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-421372804320*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+141674047200*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-280915202880*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+2844266429160*x^7+47224682400*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-93638400960*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+9860944721976*x^6+6296624320*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-12485120128*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+13004174574558*x^5+7108597449432*x^4-71666565399*x^3-1919645346207*x^2-839243621199*x-118474420977)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(11/2)","C"
2774,1,694,208,0.029000," ","int((-2*x+1)^(5/2)*(5*x+3)^(3/2)/(3*x+2)^(15/2),x)","\frac{2 \left(820573427641320 x^{8}+3391905626697132 x^{7}-27352447588044 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{6} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+13777286683860 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{6} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+5648532752247084 x^{6}-109409790352176 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{5} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+55109146735440 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{5} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4552278771338298 x^{5}-182349650586960 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+91848577892400 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1346576472913014 x^{4}-162088578299520 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+81643180348800 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-567661448375343 x^{3}-81044289149760 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+40821590174400 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-611345718465195 x^{2}-21611810439936 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+10885757379840 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-195598433873379 x -2401312271104 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1209528597760 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-22789365475635\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{1752079329 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{13}{2}}}"," ",0,"2/1752079329*(13777286683860*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^6*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-27352447588044*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^6*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+55109146735440*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^5*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-109409790352176*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^5*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+91848577892400*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-182349650586960*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+81643180348800*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-162088578299520*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+820573427641320*x^8+40821590174400*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-81044289149760*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+3391905626697132*x^7+10885757379840*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-21611810439936*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+5648532752247084*x^6+1209528597760*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2401312271104*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+4552278771338298*x^5+1346576472913014*x^4-567661448375343*x^3-611345718465195*x^2-195598433873379*x-22789365475635)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(13/2)","C"
2775,1,170,208,0.013000," ","int((-2*x+1)^(5/2)*(3*x+2)^(3/2)*(5*x+3)^(5/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(492567075000000 x^{9}+899250660000000 x^{8}-32623479000000 x^{7}-902847084300000 x^{6}-312921865912500 x^{5}+349206885747000 x^{4}+192171420950850 x^{3}-37617016792110 x^{2}-30279805737360 x -1580201444291 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+795995716040 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1636778938680\right)}{12314176875000 x^{3}+9440868937500 x^{2}-2873307937500 x -2462835375000}"," ",0,"1/410472562500*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(492567075000000*x^9+899250660000000*x^8-32623479000000*x^7-902847084300000*x^6+795995716040*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1580201444291*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-312921865912500*x^5+349206885747000*x^4+192171420950850*x^3-37617016792110*x^2-30279805737360*x-1636778938680)/(30*x^3+23*x^2-7*x-6)","C"
2776,1,165,185,0.013000," ","int((-2*x+1)^(5/2)*(5*x+3)^(5/2)*(3*x+2)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \left(7577955000000 x^{8}+8129079000000 x^{7}-7138416600000 x^{6}-9094592520000 x^{5}+2641153459500 x^{4}+4256073746100 x^{3}+39376043490 x^{2}-630245925510 x -32480644556 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+16416737015 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-89168398380\right)}{492567075000 x^{3}+377634757500 x^{2}-114932317500 x -98513415000}"," ",0,"1/16418902500*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(7577955000000*x^8+8129079000000*x^7-7138416600000*x^6+16416737015*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-32480644556*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-9094592520000*x^5+2641153459500*x^4+4256073746100*x^3+39376043490*x^2-630245925510*x-89168398380)/(30*x^3+23*x^2-7*x-6)","C"
2777,1,160,162,0.014000," ","int((-2*x+1)^(5/2)*(5*x+3)^(5/2)/(3*x+2)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \left(22963500000 x^{7}+6463800000 x^{6}-28643220000 x^{5}-5066658000 x^{4}+15351281550 x^{3}+3614874270 x^{2}-2433073980 x -146222113 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+91626220 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-674724240\right)}{3788977500 x^{3}+2904882750 x^{2}-884094750 x -757795500}"," ",0,"1/126299250*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(22963500000*x^7+6463800000*x^6+91626220*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-146222113*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-28643220000*x^5-5066658000*x^4+15351281550*x^3+3614874270*x^2-2433073980*x-674724240)/(30*x^3+23*x^2-7*x-6)","C"
2778,1,155,162,0.020000," ","int((-2*x+1)^(5/2)*(5*x+3)^(5/2)/(3*x+2)^(3/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \left(-170100000 x^{6}+98820000 x^{5}+140508000 x^{4}-100684800 x^{3}-37330230 x^{2}+21458670 x +50222 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+10192945 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1976760\right)}{2296350 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/2296350*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-170100000*x^6+10192945*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+50222*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+98820000*x^5+140508000*x^4-100684800*x^3-37330230*x^2+21458670*x+1976760)/(30*x^3+23*x^2-7*x-6)","C"
2779,1,234,162,0.023000," ","int((-2*x+1)^(5/2)*(5*x+3)^(5/2)/(3*x+2)^(5/2),x)","\frac{\left(7290000 x^{6}-6804000 x^{5}-1155600 x^{4}+34923870 x^{3}+19802040 x^{2}-1357197 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+8056230 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-8036760 x -904798 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+5370820 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-5126670\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{76545 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{3}{2}}}"," ",0,"1/76545*(8056230*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1357197*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+7290000*x^6+5370820*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-904798*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-6804000*x^5-1155600*x^4+34923870*x^3+19802040*x^2-8036760*x-5126670)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(3/2)","C"
2780,1,324,162,0.023000," ","int((-2*x+1)^(5/2)*(5*x+3)^(5/2)/(3*x+2)^(7/2),x)","-\frac{\left(-1458000 x^{6}+2559600 x^{5}+28370520 x^{4}+32990058 x^{3}-1224252 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+8423235 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4298988 x^{2}-1632336 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+11230980 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-8361204 x -544112 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3743660 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2848266\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{10935 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{5}{2}}}"," ",0,"-1/10935*(8423235*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1224252*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+11230980*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1632336*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1458000*x^6+3743660*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-544112*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+2559600*x^5+28370520*x^4+32990058*x^3+4298988*x^2-8361204*x-2848266)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(5/2)","C"
2781,1,414,162,0.024000," ","int((-2*x+1)^(5/2)*(5*x+3)^(5/2)/(3*x+2)^(9/2),x)","\frac{2 \left(11907000 x^{6}+296588790 x^{5}+559608399 x^{4}-12214773 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+72506070 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+297981972 x^{3}-24429546 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+145012140 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-56641404 x^{2}-16286364 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+96674760 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-92958492 x -3619192 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+21483280 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-21038121\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{107163 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{7}{2}}}"," ",0,"2/107163*(72506070*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-12214773*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+145012140*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-24429546*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+96674760*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-16286364*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+11907000*x^6+21483280*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-3619192*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+296588790*x^5+559608399*x^4+297981972*x^3-56641404*x^2-92958492*x-21038121)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(7/2)","C"
2782,1,504,162,0.026000," ","int((-2*x+1)^(5/2)*(5*x+3)^(5/2)/(3*x+2)^(11/2),x)","-\frac{2 \left(-872180460 x^{6}-3537297216 x^{5}+4067982 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+825628545 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-4360088709 x^{4}+10847952 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2201676120 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1550254392 x^{3}+10847952 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2201676120 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+680169084 x^{2}+4821312 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+978522720 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+608572302 x +803552 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+163087120 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+116127279\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{2250423 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{9}{2}}}"," ",0,"-2/2250423*(825628545*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+4067982*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+2201676120*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+10847952*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+2201676120*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+10847952*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+978522720*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+4821312*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-872180460*x^6+163087120*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+803552*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-3537297216*x^5-4360088709*x^4-1550254392*x^3+680169084*x^2+608572302*x+116127279)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(9/2)","C"
2783,1,599,185,0.028000," ","int((-2*x+1)^(5/2)*(5*x+3)^(5/2)/(3*x+2)^(13/2),x)","\frac{2 \left(2131918407540 x^{7}+7350886361394 x^{6}-71063946918 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{5} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+44530342920 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{5} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+9674554908852 x^{5}-236879823060 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+148434476400 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+5286666174003 x^{4}-315839764080 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+197912635200 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-54699222996 x^{3}-210559842720 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+131941756800 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1429398032628 x^{2}-70186614240 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+43980585600 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-624272370816 x -9358215232 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+5864078080 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-87936592293\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{173282571 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{11}{2}}}"," ",0,"2/173282571*(44530342920*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^5*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-71063946918*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^5*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+148434476400*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-236879823060*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+197912635200*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-315839764080*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+131941756800*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-210559842720*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+2131918407540*x^7+43980585600*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-70186614240*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+7350886361394*x^6+5864078080*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-9358215232*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+9674554908852*x^5+5286666174003*x^4-54699222996*x^3-1429398032628*x^2-624272370816*x-87936592293)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(11/2)","C"
2784,1,694,208,0.026000," ","int((-2*x+1)^(5/2)*(5*x+3)^(5/2)/(3*x+2)^(15/2),x)","-\frac{2 \left(-1420703392879440 x^{8}-5872755115941444 x^{7}+47356779762648 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{6} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-23935602567870 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{6} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-9778559734528578 x^{6}+189427119050592 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{5} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-95742410271480 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{5} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-7880198067307566 x^{5}+315711865084320 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-159570683785800 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2331269398474443 x^{4}+280632768963840 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-141840607809600 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+982548126959616 x^{3}+140316384481920 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-70920303904800 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1058407652589420 x^{2}+37417702528512 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-18912081041280 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+338633978304558 x +4157522503168 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2101342337920 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+39443626662165\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{15768713961 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{13}{2}}}"," ",0,"-2/15768713961*(47356779762648*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^6*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-23935602567870*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^6*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+189427119050592*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^5*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-95742410271480*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^5*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+315711865084320*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-159570683785800*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+280632768963840*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-141840607809600*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1420703392879440*x^8+140316384481920*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-70920303904800*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-5872755115941444*x^7+37417702528512*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-18912081041280*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-9778559734528578*x^6+4157522503168*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2101342337920*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-7880198067307566*x^5-2331269398474443*x^4+982548126959616*x^3+1058407652589420*x^2+338633978304558*x+39443626662165)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(13/2)","C"
2785,1,789,231,0.048000," ","int((-2*x+1)^(5/2)*(5*x+3)^(5/2)/(3*x+2)^(17/2),x)","-\frac{2 \left(77419842517122564 x -3997525460519271384 x^{7}+500221362404680812 x^{3}-166810299141489255 x^{4}+304831834382285292 x^{2}-2214305034568163712 x^{5}-4203787124900760138 x^{6}+8495162964508416 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-4279272969431040 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1990701860603882364 x^{8}-414708067039730040 x^{9}+809063139476992 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-407549806612480 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+38228233340287872 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-19256728362439680 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+143355875026079520 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-72212731359148800 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+95570583350719680 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-48141820906099200 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+129020287523471568 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{5} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-64991458223233920 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{5} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+13823602234657668 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{7} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-6963370523917920 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{7} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+64510143761735784 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{6} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-32495729111616960 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{6} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+7678123195182561\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{551904988635 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{15}{2}}}"," ",0,"-2/551904988635*(77419842517122564*x+64510143761735784*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^6*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-72212731359148800*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-64991458223233920*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^5*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-48141820906099200*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-19256728362439680*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-4279272969431040*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-3997525460519271384*x^7+500221362404680812*x^3-166810299141489255*x^4+304831834382285292*x^2-2214305034568163712*x^5-4203787124900760138*x^6+8495162964508416*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1990701860603882364*x^8+95570583350719680*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+38228233340287872*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+143355875026079520*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-414708067039730040*x^9+129020287523471568*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^5*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-407549806612480*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+809063139476992*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-32495729111616960*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^6*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+13823602234657668*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^7*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-6963370523917920*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^7*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+7678123195182561)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(15/2)","C"
2786,1,160,162,0.013000," ","int((-2*x+1)^(5/2)*(3*x+2)^(5/2)/(5*x+3)^(1/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(22963500000 x^{7}+12077100000 x^{6}-30942000000 x^{5}-11093382000 x^{4}+19110351150 x^{3}+7213782660 x^{2}-3219964590 x -231061879 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+100280635 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1290090420\right)}{17541562500 x^{3}+13448531250 x^{2}-4093031250 x -3508312500}"," ",0,"1/584718750*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(22963500000*x^7+12077100000*x^6+100280635*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-231061879*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-30942000000*x^5-11093382000*x^4+19110351150*x^3+7213782660*x^2-3219964590*x-1290090420)/(30*x^3+23*x^2-7*x-6)","C"
2787,1,155,139,0.013000," ","int((-2*x+1)^(5/2)*(3*x+2)^(3/2)/(5*x+3)^(1/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(-850500000 x^{6}+275400000 x^{5}+1011636000 x^{4}-583495200 x^{3}-681204930 x^{2}+123188070 x +16049092 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+754145 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+123099660\right)}{53156250 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/53156250*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-850500000*x^6+754145*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+16049092*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+275400000*x^5+1011636000*x^4-583495200*x^3-681204930*x^2+123188070*x+123099660)/(30*x^3+23*x^2-7*x-6)","C"
2788,1,150,116,0.013000," ","int((-2*x+1)^(5/2)*(3*x+2)^(1/2)/(5*x+3)^(1/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(-12150000 x^{5}+16038000 x^{4}-1281600 x^{3}-21543690 x^{2}+425310 x +408311 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1783285 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4710780\right)}{1771875 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/1771875*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(1783285*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+408311*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-12150000*x^5+16038000*x^4-1281600*x^3-21543690*x^2+425310*x+4710780)/(30*x^3+23*x^2-7*x-6)","C"
2789,1,145,93,0.014000," ","int((-2*x+1)^(5/2)/(3*x+2)^(1/2)/(5*x+3)^(1/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(-162000 x^{4}+446400 x^{3}+475260 x^{2}-100740 x -53194 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+616735 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-114120\right)}{50625 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/50625*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(616735*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-53194*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-162000*x^4+446400*x^3+475260*x^2-100740*x-114120)/(30*x^3+23*x^2-7*x-6)","C"
2790,1,140,93,0.020000," ","int((-2*x+1)^(5/2)/(3*x+2)^(3/2)/(5*x+3)^(1/2),x)","\frac{2 \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(1800 x^{3}+111630 x^{2}+10605 x -4157 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+10955 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-33435\right)}{2025 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"2/2025*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(10955*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-4157*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+1800*x^3+111630*x^2+10605*x-33435)/(30*x^3+23*x^2-7*x-6)","C"
2791,1,219,93,0.023000," ","int((-2*x+1)^(5/2)/(3*x+2)^(5/2)/(5*x+3)^(1/2),x)","\frac{2 \left(176400 x^{3}+142590 x^{2}-5844 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1785 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-40425 x -3896 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1190 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-37485\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{405 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{3}{2}}}"," ",0,"2/405*(1785*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-5844*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1190*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-3896*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+176400*x^3+142590*x^2-40425*x-37485)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(3/2)","C"
2792,1,314,116,0.026000," ","int((-2*x+1)^(5/2)/(3*x+2)^(7/2)/(5*x+3)^(1/2),x)","\frac{2 \left(2236140 x^{4}+3279474 x^{3}-74538 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+37710 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+682554 x^{2}-99384 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+50280 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-811977 x -33128 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+16760 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-314343\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{405 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{5}{2}}}"," ",0,"2/405*(37710*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-74538*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+50280*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-99384*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+16760*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-33128*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+2236140*x^4+3279474*x^3+682554*x^2-811977*x-314343)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(5/2)","C"
2793,1,409,139,0.025000," ","int((-2*x+1)^(5/2)/(3*x+2)^(9/2)/(5*x+3)^(1/2),x)","\frac{2 \left(284909400 x^{5}+607876920 x^{4}-9496980 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4783590 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+365577498 x^{3}-18993960 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+9567180 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-45486552 x^{2}-12662640 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+6378120 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-109031709 x -2813920 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1417360 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-26705421\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{3969 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{7}{2}}}"," ",0,"2/3969*(4783590*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-9496980*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+9567180*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-18993960*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+6378120*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-12662640*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1417360*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2813920*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+284909400*x^5+607876920*x^4+365577498*x^3-45486552*x^2-109031709*x-26705421)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(7/2)","C"
2794,1,504,162,0.026000," ","int((-2*x+1)^(5/2)/(3*x+2)^(11/2)/(5*x+3)^(1/2),x)","\frac{2 \left(80256844440 x^{6}+224738841924 x^{5}-2675228148 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1347452820 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+217137403836 x^{4}-7133941728 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3593207520 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+55840372398 x^{3}-7133941728 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3593207520 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-39255728106 x^{2}-3170640768 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1596981120 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-27998280273 x -528440128 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+266163520 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-5015164131\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{83349 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{9}{2}}}"," ",0,"2/83349*(1347452820*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2675228148*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+3593207520*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-7133941728*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+3593207520*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-7133941728*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1596981120*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-3170640768*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+80256844440*x^6+266163520*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-528440128*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+224738841924*x^5+217137403836*x^4+55840372398*x^3-39255728106*x^2-27998280273*x-5015164131)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(9/2)","C"
2795,1,599,185,0.026000," ","int((-2*x+1)^(5/2)/(3*x+2)^(13/2)/(5*x+3)^(1/2),x)","\frac{2 \left(84580414630560 x^{7}+293232839645016 x^{6}-2819347154352 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{5} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1420041373380 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{5} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+386732216916828 x^{5}-9397823847840 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4733471244600 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+211405262133852 x^{4}-12530431797120 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+6311294992800 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2138118521814 x^{3}-8353621198080 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4207529995200 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-57086936770452 x^{2}-2784540399360 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1402509998400 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-24956397311829 x -371272053248 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+187001333120 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-3523560607017\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{6417873 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{11}{2}}}"," ",0,"2/6417873*(1420041373380*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^5*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2819347154352*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^5*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+4733471244600*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-9397823847840*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+6311294992800*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-12530431797120*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+4207529995200*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-8353621198080*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+84580414630560*x^7+1402509998400*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2784540399360*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+293232839645016*x^6+187001333120*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-371272053248*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+386732216916828*x^5+211405262133852*x^4-2138118521814*x^3-57086936770452*x^2-24956397311829*x-3523560607017)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(11/2)","C"
2796,1,160,185,0.023000," ","int((-2*x+1)^(5/2)*(3*x+2)^(7/2)/(5*x+3)^(3/2),x)","\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(22963500000 x^{7}+13948200000 x^{6}-31387500000 x^{5}-13515714000 x^{4}+20371373550 x^{3}+8863610070 x^{2}-3502765680 x -264260033 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+24628520 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1582692840\right)}{29235937500 x^{3}+22414218750 x^{2}-6821718750 x -5847187500}"," ",0,"1/974531250*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(22963500000*x^7+13948200000*x^6+24628520*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-264260033*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-31387500000*x^5-13515714000*x^4+20371373550*x^3+8863610070*x^2-3502765680*x-1582692840)/(30*x^3+23*x^2-7*x-6)","C"
2797,1,155,162,0.018000," ","int((-2*x+1)^(5/2)*(3*x+2)^(5/2)/(5*x+3)^(3/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(-170100000 x^{6}+40500000 x^{5}+220212000 x^{4}-114638400 x^{3}-149984310 x^{2}+25709190 x +3018014 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+6877465 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+26600220\right)}{17718750 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/17718750*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-170100000*x^6+6877465*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+3018014*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+40500000*x^5+220212000*x^4-114638400*x^3-149984310*x^2+25709190*x+26600220)/(30*x^3+23*x^2-7*x-6)","C"
2798,1,150,139,0.019000," ","int((-2*x+1)^(5/2)*(3*x+2)^(3/2)/(5*x+3)^(3/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(-4050000 x^{5}+4968000 x^{4}+572400 x^{3}-3817590 x^{2}+297660 x -53279 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1868510 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+550080\right)}{984375 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/984375*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(1868510*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-53279*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-4050000*x^5+4968000*x^4+572400*x^3-3817590*x^2+297660*x+550080)/(30*x^3+23*x^2-7*x-6)","C"
2799,1,145,116,0.021000," ","int((-2*x+1)^(5/2)*(3*x+2)^(1/2)/(5*x+3)^(3/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(-162000 x^{4}+428400 x^{3}+1441560 x^{2}+66810 x -81164 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+546035 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-437220\right)}{84375 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/84375*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(546035*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-81164*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-162000*x^4+428400*x^3+1441560*x^2+66810*x-437220)/(30*x^3+23*x^2-7*x-6)","C"
2800,1,140,93,0.020000," ","int((-2*x+1)^(5/2)/(5*x+3)^(3/2)/(3*x+2)^(1/2),x)","\frac{2 \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \left(1800 x^{3}-96630 x^{2}-16755 x +2797 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+7070 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+32310\right)}{3375 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"2/3375*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(2797*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+7070*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+1800*x^3-96630*x^2-16755*x+32310)/(30*x^3+23*x^2-7*x-6)","C"
2801,1,135,93,0.022000," ","int((-2*x+1)^(5/2)/(3*x+2)^(3/2)/(5*x+3)^(3/2),x)","-\frac{2 \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(69420 x^{2}+9120 x -2318 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1295 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-21915\right)}{225 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-2/225*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(1295*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2318*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+69420*x^2+9120*x-21915)/(30*x^3+23*x^2-7*x-6)","C"
2802,1,219,116,0.024000," ","int((-2*x+1)^(5/2)/(3*x+2)^(5/2)/(5*x+3)^(3/2),x)","-\frac{2 \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(801180 x^{3}+641190 x^{2}-26706 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+13440 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-182940 x -17804 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+8960 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-168975\right)}{135 \left(3 x +2\right)^{\frac{3}{2}} \left(10 x^{2}+x -3\right)}"," ",0,"-2/135*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(13440*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-26706*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+8960*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-17804*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+801180*x^3+641190*x^2-182940*x-168975)/(3*x+2)^(3/2)/(10*x^2+x-3)","C"
2803,1,314,139,0.029000," ","int((-2*x+1)^(5/2)/(3*x+2)^(7/2)/(5*x+3)^(3/2),x)","-\frac{2 \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(14253840 x^{4}+20909124 x^{3}-475128 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+239310 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4350354 x^{2}-633504 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+319080 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-5176002 x -211168 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+106360 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2004093\right)}{135 \left(3 x +2\right)^{\frac{5}{2}} \left(10 x^{2}+x -3\right)}"," ",0,"-2/135*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(239310*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-475128*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+319080*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-633504*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+106360*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-211168*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+14253840*x^4+20909124*x^3+4350354*x^2-5176002*x-2004093)/(3*x+2)^(5/2)/(10*x^2+x-3)","C"
2804,1,409,162,0.029000," ","int((-2*x+1)^(5/2)/(3*x+2)^(9/2)/(5*x+3)^(3/2),x)","-\frac{2 \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(793407960 x^{5}+1692798156 x^{4}-26446932 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+13320720 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1018057896 x^{3}-52893864 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+26641440 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-126674718 x^{2}-35262576 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+17760960 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-303627192 x -7836128 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3946880 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-74368845\right)}{441 \left(3 x +2\right)^{\frac{7}{2}} \left(10 x^{2}+x -3\right)}"," ",0,"-2/441*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(13320720*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-26446932*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+26641440*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-52893864*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+17760960*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-35262576*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+3946880*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-7836128*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+793407960*x^5+1692798156*x^4+1018057896*x^3-126674718*x^2-303627192*x-74368845)/(3*x+2)^(7/2)/(10*x^2+x-3)","C"
2805,1,504,185,0.029000," ","int((-2*x+1)^(5/2)/(3*x+2)^(11/2)/(5*x+3)^(3/2),x)","-\frac{2 \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(830027366640 x^{6}+2324280114144 x^{5}-27667578888 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+13935533220 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2245664953836 x^{4}-73780210368 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+37161421920 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+577509238368 x^{3}-73780210368 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+37161421920 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-405988496886 x^{2}-32791204608 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+16516187520 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-289561969758 x -5465200768 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2752697920 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-51867536481\right)}{27783 \left(3 x +2\right)^{\frac{9}{2}} \left(10 x^{2}+x -3\right)}"," ",0,"-2/27783*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(13935533220*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-27667578888*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+37161421920*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-73780210368*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+37161421920*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-73780210368*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+16516187520*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-32791204608*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+830027366640*x^6+2752697920*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-5465200768*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+2324280114144*x^5+2245664953836*x^4+577509238368*x^3-405988496886*x^2-289561969758*x-51867536481)/(3*x+2)^(9/2)/(10*x^2+x-3)","C"
2806,1,239,185,0.023000," ","int((-2*x+1)^(5/2)*(3*x+2)^(7/2)/(5*x+3)^(5/2),x)","-\frac{\left(-850500000 x^{7}-380700000 x^{6}+1261440000 x^{5}+164556000 x^{4}-1078163250 x^{3}-311345520 x^{2}+10651180 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+87587675 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+205131330 x +6390708 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+52552605 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+72929340\right) \sqrt{3 x +2}\, \sqrt{-2 x +1}}{29531250 \left(6 x^{2}+x -2\right) \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"-1/29531250*(-850500000*x^7+87587675*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+10651180*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-380700000*x^6+52552605*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+6390708*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+1261440000*x^5+164556000*x^4-1078163250*x^3-311345520*x^2+205131330*x+72929340)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)/(6*x^2+x-2)/(5*x+3)^(3/2)","C"
2807,1,234,162,0.023000," ","int((-2*x+1)^(5/2)*(3*x+2)^(5/2)/(5*x+3)^(5/2),x)","-\frac{\left(-4050000 x^{6}+2160000 x^{5}+4284000 x^{4}+870750 x^{3}+558970 x^{2}-246605 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2955575 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-277630 x -147963 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1773345 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-381740\right) \sqrt{3 x +2}\, \sqrt{-2 x +1}}{328125 \left(6 x^{2}+x -2\right) \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"-1/328125*(2955575*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-246605*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-4050000*x^6+1773345*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-147963*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+2160000*x^5+4284000*x^4+870750*x^3+558970*x^2-277630*x-381740)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)/(6*x^2+x-2)/(5*x+3)^(3/2)","C"
2808,1,229,139,0.023000," ","int((-2*x+1)^(5/2)*(3*x+2)^(3/2)/(5*x+3)^(5/2),x)","-\frac{\left(-270000 x^{5}+522000 x^{4}+3103500 x^{3}+1822760 x^{2}-138090 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+776475 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-718790 x -82854 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+465885 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-508420\right) \sqrt{3 x +2}\, \sqrt{-2 x +1}}{46875 \left(6 x^{2}+x -2\right) \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"-1/46875*(776475*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-138090*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+465885*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-82854*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-270000*x^5+522000*x^4+3103500*x^3+1822760*x^2-718790*x-508420)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)/(6*x^2+x-2)/(5*x+3)^(3/2)","C"
2809,1,224,116,0.023000," ","int((-2*x+1)^(5/2)*(3*x+2)^(1/2)/(5*x+3)^(5/2),x)","\frac{2 \left(9000 x^{4}-81750 x^{3}-80955 x^{2}+845 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+40075 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+17070 x +507 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+24045 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+21360\right) \sqrt{3 x +2}\, \sqrt{-2 x +1}}{5625 \left(6 x^{2}+x -2\right) \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"2/5625*(40075*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+845*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+24045*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+507*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+9000*x^4-81750*x^3-80955*x^2+17070*x+21360)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)/(6*x^2+x-2)/(5*x+3)^(3/2)","C"
2810,1,219,93,0.023000," ","int((-2*x+1)^(5/2)/(5*x+3)^(5/2)/(3*x+2)^(1/2),x)","\frac{2 \left(132000 x^{3}+97570 x^{2}-4380 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1575 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-31405 x -2628 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+945 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-25190\right) \sqrt{3 x +2}\, \sqrt{-2 x +1}}{375 \left(6 x^{2}+x -2\right) \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"2/375*(1575*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-4380*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+945*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2628*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+132000*x^3+97570*x^2-31405*x-25190)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)/(6*x^2+x-2)/(5*x+3)^(3/2)","C"
2811,1,219,116,0.026000," ","int((-2*x+1)^(5/2)/(3*x+2)^(3/2)/(5*x+3)^(5/2),x)","\frac{2 \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \left(479100 x^{3}+351430 x^{2}-15970 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+8050 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-113620 x -9582 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4830 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-90935\right)}{75 \left(5 x +3\right)^{\frac{3}{2}} \left(6 x^{2}+x -2\right)}"," ",0,"2/75*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(8050*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-15970*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+4830*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-9582*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+479100*x^3+351430*x^2-113620*x-90935)/(5*x+3)^(3/2)/(6*x^2+x-2)","C"
2812,1,311,139,0.027000," ","int((-2*x+1)^(5/2)/(3*x+2)^(5/2)/(5*x+3)^(5/2),x)","\frac{2 \sqrt{-2 x +1}\, \left(8317800 x^{4}+11646960 x^{3}-277260 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+139650 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2094870 x^{2}-351196 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+176890 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2893830 x -110904 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+55860 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1052535\right)}{45 \left(3 x +2\right)^{\frac{3}{2}} \left(5 x +3\right)^{\frac{3}{2}} \left(2 x -1\right)}"," ",0,"2/45*(-2*x+1)^(1/2)*(139650*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-277260*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+176890*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-351196*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+55860*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-110904*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+8317800*x^4+11646960*x^3+2094870*x^2-2893830*x-1052535)/(3*x+2)^(3/2)/(5*x+3)^(3/2)/(2*x-1)","C"
2813,1,406,162,0.029000," ","int((-2*x+1)^(5/2)/(3*x+2)^(7/2)/(5*x+3)^(5/2),x)","-\frac{2 \sqrt{-2 x +1}\, \left(-65345400 x^{5}-135063180 x^{4}+2178180 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1097100 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-77457264 x^{3}+4211148 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2121060 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+11762566 x^{2}+2710624 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1365280 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+23424932 x +580848 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-292560 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+5512543\right)}{15 \left(3 x +2\right)^{\frac{5}{2}} \left(5 x +3\right)^{\frac{3}{2}} \left(2 x -1\right)}"," ",0,"-2/15*(-2*x+1)^(1/2)*(2178180*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1097100*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+4211148*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2121060*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+2710624*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1365280*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+580848*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-292560*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-65345400*x^5-135063180*x^4-77457264*x^3+11762566*x^2+23424932*x+5512543)/(3*x+2)^(5/2)/(5*x+3)^(3/2)/(2*x-1)","C"
2814,1,501,185,0.027000," ","int((-2*x+1)^(5/2)/(3*x+2)^(9/2)/(5*x+3)^(5/2),x)","\frac{2 \sqrt{-2 x +1}\, \left(13572813600 x^{6}+37102351320 x^{5}-452427120 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+227877300 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+34791093396 x^{4}-1176310512 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+592480980 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+8282514768 x^{3}-1146148704 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+577289160 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-6494356586 x^{2}-495994176 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+249821040 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-4388712958 x -80431488 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+40511520 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-763335749\right)}{147 \left(3 x +2\right)^{\frac{7}{2}} \left(5 x +3\right)^{\frac{3}{2}} \left(2 x -1\right)}"," ",0,"2/147*(-2*x+1)^(1/2)*(227877300*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-452427120*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+592480980*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1176310512*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+577289160*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1146148704*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+249821040*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-495994176*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+13572813600*x^6+40511520*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-80431488*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+37102351320*x^5+34791093396*x^4+8282514768*x^3-6494356586*x^2-4388712958*x-763335749)/(3*x+2)^(7/2)/(5*x+3)^(3/2)/(2*x-1)","C"
2815,1,150,116,0.023000," ","int((3*x+2)^(5/2)*(5*x+3)^(1/2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-675000 x^{5}-2353500 x^{4}-3625800 x^{3}-1257970 x^{2}+921530 x -112082 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+56455 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+475140\right)}{525000 x^{3}+402500 x^{2}-122500 x -105000}"," ",0,"1/17500*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(56455*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-112082*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-675000*x^5-2353500*x^4-3625800*x^3-1257970*x^2+921530*x+475140)/(30*x^3+23*x^2-7*x-6)","C"
2816,1,145,93,0.013000," ","int((3*x+2)^(3/2)*(5*x+3)^(1/2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-13500 x^{4}-40050 x^{3}-19620 x^{2}+9630 x -1597 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+805 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+5940\right)}{22500 x^{3}+17250 x^{2}-5250 x -4500}"," ",0,"1/750*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(805*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1597*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-13500*x^4-40050*x^3-19620*x^2+9630*x+5940)/(30*x^3+23*x^2-7*x-6)","C"
2817,1,140,70,0.012000," ","int((3*x+2)^(1/2)*(5*x+3)^(1/2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-900 x^{3}-690 x^{2}+210 x -68 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+35 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+180\right)}{2700 x^{3}+2070 x^{2}-630 x -540}"," ",0,"1/90*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(35*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-68*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-900*x^3-690*x^2+210*x+180)/(30*x^3+23*x^2-7*x-6)","C"
2818,1,41,23,0.014000," ","int((5*x+3)^(1/2)/(-2*x+1)^(1/2)/(3*x+2)^(1/2),x)","-\frac{\left(-\EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+\EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)\right) \sqrt{2}}{3}"," ",0,"-1/3*(EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2)))*2^(1/2)","C"
2819,1,135,60,0.020000," ","int((5*x+3)^(1/2)/(3*x+2)^(3/2)/(-2*x+1)^(1/2),x)","-\frac{\sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \left(60 x^{2}+6 x -2 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+35 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-18\right)}{21 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/21*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(35*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+60*x^2+6*x-18)/(30*x^3+23*x^2-7*x-6)","C"
2820,1,219,93,0.021000," ","int((5*x+3)^(1/2)/(3*x+2)^(5/2)/(-2*x+1)^(1/2),x)","-\frac{2 \left(-2790 x^{3}-1929 x^{2}+93 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+105 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+672 x +62 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+70 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+495\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{441 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{3}{2}}}"," ",0,"-2/441*(105*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+93*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+70*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+62*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2790*x^3-1929*x^2+672*x+495)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(10*x^2+x-3)/(3*x+2)^(3/2)","C"
2821,1,314,116,0.024000," ","int((5*x+3)^(1/2)/(3*x+2)^(7/2)/(-2*x+1)^(1/2),x)","\frac{2 \left(78840 x^{4}+114894 x^{3}-2628 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+945 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+22859 x^{2}-3504 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1260 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-28522 x -1168 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+420 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-10743\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{1715 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{5}{2}}}"," ",0,"2/1715*(945*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2628*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1260*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-3504*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+420*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1168*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+78840*x^4+114894*x^3+22859*x^2-28522*x-10743)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(10*x^2+x-3)/(3*x+2)^(5/2)","C"
2822,1,155,139,0.015000," ","int((3*x+2)^(5/2)*(5*x+3)^(3/2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-212625000 x^{6}-851512500 x^{5}-1480896000 x^{4}-1562260050 x^{3}-392506170 x^{2}+433102080 x -44109377 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+22216880 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+199346040\right)}{42525000 x^{3}+32602500 x^{2}-9922500 x -8505000}"," ",0,"1/1417500*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(-212625000*x^6+22216880*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-44109377*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-851512500*x^5-1480896000*x^4-1562260050*x^3-392506170*x^2+433102080*x+199346040)/(30*x^3+23*x^2-7*x-6)","C"
2823,1,150,116,0.014000," ","int((3*x+2)^(3/2)*(5*x+3)^(3/2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-2025000 x^{5}-6871500 x^{4}-10316700 x^{3}-3499230 x^{2}+2629770 x -313888 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+158095 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1342260\right)}{945000 x^{3}+724500 x^{2}-220500 x -189000}"," ",0,"1/31500*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(158095*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-313888*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2025000*x^5-6871500*x^4-10316700*x^3-3499230*x^2+2629770*x+1342260)/(30*x^3+23*x^2-7*x-6)","C"
2824,1,145,93,0.012000," ","int((5*x+3)^(3/2)*(3*x+2)^(1/2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \left(-40500 x^{4}-115650 x^{3}-55410 x^{2}+27840 x -4451 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2240 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+16920\right)}{40500 x^{3}+31050 x^{2}-9450 x -8100}"," ",0,"1/1350*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(2240*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-4451*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-40500*x^4-115650*x^3-55410*x^2+27840*x+16920)/(30*x^3+23*x^2-7*x-6)","C"
2825,1,140,70,0.014000," ","int((5*x+3)^(3/2)/(-2*x+1)^(1/2)/(3*x+2)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \left(-900 x^{3}-690 x^{2}+210 x -62 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+29 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+180\right)}{1620 x^{3}+1242 x^{2}-378 x -324}"," ",0,"1/54*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(29*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-62*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-900*x^3-690*x^2+210*x+180)/(30*x^3+23*x^2-7*x-6)","C"
2826,1,135,70,0.021000," ","int((5*x+3)^(3/2)/(3*x+2)^(3/2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \left(60 x^{2}+6 x -37 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+70 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-18\right)}{1890 x^{3}+1449 x^{2}-441 x -378}"," ",0,"1/63*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(70*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-37*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+60*x^2+6*x-18)/(30*x^3+23*x^2-7*x-6)","C"
2827,1,219,93,0.023000," ","int((5*x+3)^(3/2)/(3*x+2)^(5/2)/(-2*x+1)^(1/2),x)","-\frac{\left(24480 x^{3}+18348 x^{2}-816 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+10815 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-5754 x -544 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+7210 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-4770\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{1323 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{3}{2}}}"," ",0,"-1/1323*(10815*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-816*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+7210*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-544*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+24480*x^3+18348*x^2-5754*x-4770)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(10*x^2+x-3)/(3*x+2)^(3/2)","C"
2828,1,314,116,0.025000," ","int((5*x+3)^(3/2)/(3*x+2)^(7/2)/(-2*x+1)^(1/2),x)","-\frac{2 \left(-755190 x^{4}-955179 x^{3}+25173 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+63630 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-116619 x^{2}+33564 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+84840 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+238377 x +11188 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+28280 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+76563\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{46305 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{5}{2}}}"," ",0,"-2/46305*(63630*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+25173*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+84840*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+33564*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+28280*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+11188*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-755190*x^4-955179*x^3-116619*x^2+238377*x+76563)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(10*x^2+x-3)/(3*x+2)^(5/2)","C"
2829,1,409,139,0.026000," ","int((5*x+3)^(3/2)/(3*x+2)^(9/2)/(-2*x+1)^(1/2),x)","\frac{2 \left(74777580 x^{5}+157953348 x^{4}-2492586 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+460215 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+92363085 x^{3}-4985172 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+920430 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-13338867 x^{2}-3323448 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+613620 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-27741747 x -738544 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+136360 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-6548679\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{756315 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{7}{2}}}"," ",0,"2/756315*(460215*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2492586*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+920430*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-4985172*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+613620*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-3323448*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+136360*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-738544*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+74777580*x^5+157953348*x^4+92363085*x^3-13338867*x^2-27741747*x-6548679)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(10*x^2+x-3)/(3*x+2)^(7/2)","C"
2830,1,165,185,0.014000," ","int((3*x+2)^(7/2)*(5*x+3)^(5/2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-1894488750000 x^{8}-9868564125000 x^{7}-22769118225000 x^{6}-30838634482500 x^{5}-27960569725500 x^{4}-20079090637650 x^{3}-2782614262260 x^{2}+6953485592490 x -610627101631 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+307559050015 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2880306010620\right)}{36486450000 x^{3}+27972945000 x^{2}-8513505000 x -7297290000}"," ",0,"1/1216215000*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(-1894488750000*x^8-9868564125000*x^7-22769118225000*x^6+307559050015*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-610627101631*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-30838634482500*x^5-27960569725500*x^4-20079090637650*x^3-2782614262260*x^2+6953485592490*x+2880306010620)/(30*x^3+23*x^2-7*x-6)","C"
2831,1,160,162,0.013000," ","int((3*x+2)^(5/2)*(5*x+3)^(5/2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-11481750000 x^{7}-52348275000 x^{6}-104493240000 x^{5}-122253448500 x^{4}-101481939900 x^{3}-18760348110 x^{2}+31378183890 x -2900562916 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1460947915 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+13500134820\right)}{561330000 x^{3}+430353000 x^{2}-130977000 x -112266000}"," ",0,"1/18711000*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(-11481750000*x^7-52348275000*x^6+1460947915*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2900562916*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-104493240000*x^5-122253448500*x^4-101481939900*x^3-18760348110*x^2+31378183890*x+13500134820)/(30*x^3+23*x^2-7*x-6)","C"
2832,1,155,139,0.015000," ","int((3*x+2)^(3/2)*(5*x+3)^(5/2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-42525000 x^{6}-166657500 x^{5}-283810500 x^{4}-293881950 x^{3}-72202620 x^{2}+81886830 x -8256877 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4158805 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+37453140\right)}{5103000 x^{3}+3912300 x^{2}-1190700 x -1020600}"," ",0,"1/170100*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(-42525000*x^6+4158805*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-8256877*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-166657500*x^5-283810500*x^4-293881950*x^3-72202620*x^2+81886830*x+37453140)/(30*x^3+23*x^2-7*x-6)","C"
2833,1,150,116,0.013000," ","int((5*x+3)^(5/2)*(3*x+2)^(1/2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \left(-243000 x^{5}-801900 x^{4}-1173240 x^{3}-388878 x^{2}+299982 x -35174 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+17717 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+151596\right)}{68040 x^{3}+52164 x^{2}-15876 x -13608}"," ",0,"1/2268*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(17717*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-35174*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-243000*x^5-801900*x^4-1173240*x^3-388878*x^2+299982*x+151596)/(30*x^3+23*x^2-7*x-6)","C"
2834,1,145,93,0.016000," ","int((5*x+3)^(5/2)/(-2*x+1)^(1/2)/(3*x+2)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \left(-40500 x^{4}-111150 x^{3}-51960 x^{2}+26790 x -4141 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2095 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+16020\right)}{24300 x^{3}+18630 x^{2}-5670 x -4860}"," ",0,"1/810*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(2095*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-4141*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-40500*x^4-111150*x^3-51960*x^2+26790*x+16020)/(30*x^3+23*x^2-7*x-6)","C"
2835,1,140,93,0.019000," ","int((5*x+3)^(5/2)/(3*x+2)^(3/2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \left(-31500 x^{3}-24510 x^{2}+7314 x -1948 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+595 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+6408\right)}{34020 x^{3}+26082 x^{2}-7938 x -6804}"," ",0,"1/1134*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(595*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1948*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-31500*x^3-24510*x^2+7314*x+6408)/(30*x^3+23*x^2-7*x-6)","C"
2836,1,219,93,0.021000," ","int((5*x+3)^(5/2)/(3*x+2)^(5/2)/(-2*x+1)^(1/2),x)","\frac{\left(43380 x^{3}+32838 x^{2}-12471 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+32865 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-10164 x -8314 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+21910 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-8550\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{3969 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{3}{2}}}"," ",0,"1/3969*(32865*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-12471*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+21910*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-8314*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+43380*x^3+32838*x^2-10164*x-8550)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(10*x^2+x-3)/(3*x+2)^(3/2)","C"
2837,1,314,116,0.023000," ","int((5*x+3)^(5/2)/(3*x+2)^(7/2)/(-2*x+1)^(1/2),x)","-\frac{\left(14362380 x^{4}+20111058 x^{3}-478746 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+5550615 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3634188 x^{2}-638328 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+7400820 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-4994904 x -212776 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2466940 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1822626\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{138915 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{5}{2}}}"," ",0,"-1/138915*(5550615*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-478746*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+7400820*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-638328*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+2466940*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-212776*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+14362380*x^4+20111058*x^3+3634188*x^2-4994904*x-1822626)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(10*x^2+x-3)/(3*x+2)^(5/2)","C"
2838,1,409,139,0.025000," ","int((5*x+3)^(5/2)/(3*x+2)^(9/2)/(-2*x+1)^(1/2),x)","-\frac{2 \left(-330731910 x^{5}-598239621 x^{4}+11024397 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+48148695 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-276663420 x^{3}+22048794 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+96297390 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+78047184 x^{2}+14699196 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+64198260 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+89853294 x +3266488 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+14266280 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+17869833\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{6806835 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{7}{2}}}"," ",0,"-2/6806835*(48148695*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+11024397*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+96297390*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+22048794*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+64198260*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+14699196*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+14266280*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+3266488*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-330731910*x^5-598239621*x^4-276663420*x^3+78047184*x^2+89853294*x+17869833)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(10*x^2+x-3)/(3*x+2)^(7/2)","C"
2839,1,504,162,0.029000," ","int((5*x+3)^(5/2)/(3*x+2)^(11/2)/(-2*x+1)^(1/2),x)","-\frac{2 \left(-38999293560 x^{6}-107775874026 x^{5}+1299976452 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+61085745 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-101330034669 x^{4}+3466603872 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+162895320 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-23778042336 x^{3}+3466603872 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+162895320 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+19087401900 x^{2}+1540712832 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+72397920 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+12679220244 x +256785472 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+12066320 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2171281887\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{142943535 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{9}{2}}}"," ",0,"-2/142943535*(61085745*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1299976452*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+162895320*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+3466603872*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+162895320*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+3466603872*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+72397920*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1540712832*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-38999293560*x^6+12066320*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+256785472*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-107775874026*x^5-101330034669*x^4-23778042336*x^3+19087401900*x^2+12679220244*x+2171281887)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(10*x^2+x-3)/(3*x+2)^(9/2)","C"
2840,1,599,185,0.026000," ","int((5*x+3)^(5/2)/(3*x+2)^(13/2)/(-2*x+1)^(1/2),x)","\frac{2 \left(3368882195820 x^{7}+11663968316202 x^{6}-112296073194 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{5} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+48736388610 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{5} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+15347583409266 x^{5}-374320243980 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+162454628700 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+8340186467079 x^{4}-499093658640 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+216606171600 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-127213913772 x^{3}-332729105760 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+144404114400 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2266497365808 x^{2}-110909701920 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+48134704800 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-980027502834 x -14787960256 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+6417960640 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-136902700737\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}}{2201330439 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{11}{2}}}"," ",0,"2/2201330439*(48736388610*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^5*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-112296073194*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^5*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+162454628700*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-374320243980*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+216606171600*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-499093658640*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+144404114400*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-332729105760*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+3368882195820*x^7+48134704800*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-110909701920*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+11663968316202*x^6+6417960640*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-14787960256*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+15347583409266*x^5+8340186467079*x^4-127213913772*x^3-2266497365808*x^2-980027502834*x-136902700737)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(10*x^2+x-3)/(3*x+2)^(11/2)","C"
2841,1,44,11,0.041000," ","int(1/(x+1)^(1/2)/(x+2)^(1/2)/(x+3)^(1/2),x)","-\frac{\sqrt{2}\, \left(x +3\right) \sqrt{-x -1}\, \sqrt{x +1}\, \EllipticF \left(\sqrt{-x -1}, \frac{\sqrt{2}}{2}\right)}{x^{2}+4 x +3}"," ",0,"-EllipticF((-x-1)^(1/2),1/2*2^(1/2))*2^(1/2)*(x+3)*(-x-1)^(1/2)*(x+1)^(1/2)/(x^2+4*x+3)","B"
2842,1,25,12,0.040000," ","int(1/(-x+3)^(1/2)/(x+1)^(1/2)/(x+2)^(1/2),x)","-\frac{\sqrt{-x -1}\, \EllipticF \left(\sqrt{-x -1}, \frac{i}{2}\right)}{\sqrt{x +1}}"," ",0,"-EllipticF((-x-1)^(1/2),1/2*I)*(-x-1)^(1/2)/(x+1)^(1/2)","A"
2843,1,34,21,0.046000," ","int(1/(-x+2)^(1/2)/(x+1)^(1/2)/(x+3)^(1/2),x)","-\frac{2 \sqrt{3}\, \sqrt{-x -1}\, \EllipticF \left(\frac{\sqrt{-2 x -2}}{2}, \frac{i \sqrt{6}}{3}\right)}{3 \sqrt{x +1}}"," ",0,"-2/3*EllipticF(1/2*(-2-2*x)^(1/2),1/3*I*6^(1/2))*3^(1/2)*(-x-1)^(1/2)/(x+1)^(1/2)","A"
2844,1,19,16,0.042000," ","int(1/(-x+2)^(1/2)/(-x+3)^(1/2)/(x+1)^(1/2),x)","\frac{2 \sqrt{3}\, \EllipticF \left(\frac{\sqrt{x +1}}{2}, \frac{2 \sqrt{3}}{3}\right)}{3}"," ",0,"2/3*3^(1/2)*EllipticF(1/2*(x+1)^(1/2),2/3*3^(1/2))","A"
2845,1,32,19,0.045000," ","int(1/(-x+1)^(1/2)/(x+2)^(1/2)/(x+3)^(1/2),x)","-\frac{2 \sqrt{-x -2}\, \sqrt{3}\, \EllipticF \left(\sqrt{-x -2}, \frac{i \sqrt{3}}{3}\right)}{3 \sqrt{x +2}}"," ",0,"-2/3/(x+2)^(1/2)*(-2-x)^(1/2)*3^(1/2)*EllipticF((-2-x)^(1/2),1/3*I*3^(1/2))","A"
2846,1,21,21,0.048000," ","int(1/(-x+1)^(1/2)/(-x+3)^(1/2)/(x+2)^(1/2),x)","\frac{2 \sqrt{3}\, \EllipticF \left(\frac{\sqrt{5 x +10}}{5}, \frac{\sqrt{15}}{3}\right)}{3}"," ",0,"2/3*EllipticF(1/5*(5*x+10)^(1/2),1/3*15^(1/2))*3^(1/2)","A"
2847,1,16,18,0.041000," ","int(1/(-x+1)^(1/2)/(-x+2)^(1/2)/(x+3)^(1/2),x)","\EllipticF \left(\frac{\sqrt{5 x +15}}{5}, \frac{\sqrt{5}}{2}\right)"," ",0,"EllipticF(1/5*(5*x+15)^(1/2),1/2*5^(1/2))","A"
2848,1,55,13,0.039000," ","int(1/(-x+1)^(1/2)/(-x+2)^(1/2)/(-x+3)^(1/2),x)","-\frac{\sqrt{x -2}\, \sqrt{2 x -2}\, \sqrt{-x +2}\, \sqrt{2}\, \sqrt{-2 x +2}\, \EllipticF \left(\sqrt{-x +3}, \frac{\sqrt{2}}{2}\right)}{2 \left(x^{2}-3 x +2\right)}"," ",0,"-1/2*EllipticF((-x+3)^(1/2),1/2*2^(1/2))*(x-2)^(1/2)*(-2+2*x)^(1/2)*(-x+2)^(1/2)*2^(1/2)*(2-2*x)^(1/2)/(x^2-3*x+2)","B"
2849,1,44,11,0.041000," ","int(1/(x-3)^(1/2)/(x-2)^(1/2)/(x-1)^(1/2),x)","-\frac{\left(x -1\right) \sqrt{2}\, \sqrt{-x +3}\, \sqrt{x -3}\, \EllipticF \left(\sqrt{-x +3}, \frac{\sqrt{2}}{2}\right)}{x^{2}-4 x +3}"," ",0,"-EllipticF((-x+3)^(1/2),1/2*2^(1/2))*(x-1)*2^(1/2)*(-x+3)^(1/2)*(x-3)^(1/2)/(x^2-4*x+3)","B"
2850,1,65,45,0.042000," ","int(1/(-3-x)^(1/2)/(x-2)^(1/2)/(x-1)^(1/2),x)","\frac{\sqrt{-x -3}\, \sqrt{x -2}\, \sqrt{x -1}\, \sqrt{x +3}\, \sqrt{-x +1}\, \sqrt{-x +2}\, \EllipticF \left(\frac{\sqrt{5 x +15}}{5}, \frac{\sqrt{5}}{2}\right)}{-x^{3}+7 x -6}"," ",0,"1/(-x^3+7*x-6)*(-3-x)^(1/2)*(x-2)^(1/2)*(x-1)^(1/2)*(x+3)^(1/2)*(-x+1)^(1/2)*(-x+2)^(1/2)*EllipticF(1/5*(5*x+15)^(1/2),1/2*5^(1/2))","A"
2851,1,72,32,0.041000," ","int(1/(-x-2)^(1/2)/(x-3)^(1/2)/(x-1)^(1/2),x)","-\frac{2 \sqrt{-x -2}\, \sqrt{x -3}\, \sqrt{x -1}\, \sqrt{x +2}\, \sqrt{3}\, \sqrt{-x +1}\, \sqrt{-x +3}\, \EllipticF \left(\frac{\sqrt{5 x +10}}{5}, \frac{\sqrt{15}}{3}\right)}{3 \left(x^{3}-2 x^{2}-5 x +6\right)}"," ",0,"-2/3*(-x-2)^(1/2)*(x-3)^(1/2)*(x-1)^(1/2)*(x+2)^(1/2)*3^(1/2)*(-x+1)^(1/2)*(-x+3)^(1/2)*EllipticF(1/5*(5*x+10)^(1/2),1/3*15^(1/2))/(x^3-2*x^2-5*x+6)","B"
2852,1,54,68,0.036000," ","int(1/(-x-3)^(1/2)/(-x-2)^(1/2)/(x-1)^(1/2),x)","\frac{2 \sqrt{x +3}\, \sqrt{3}\, \sqrt{-x +1}\, \sqrt{x -1}\, \sqrt{-x -3}\, \EllipticF \left(\sqrt{-x -2}, \frac{i \sqrt{3}}{3}\right)}{3 \left(x^{2}+2 x -3\right)}"," ",0,"2/3*EllipticF((-x-2)^(1/2),1/3*I*3^(1/2))*(x+3)^(1/2)*3^(1/2)*(-x+1)^(1/2)*(x-1)^(1/2)*(-x-3)^(1/2)/(x^2+2*x-3)","A"
2853,1,68,32,0.041000," ","int(1/(-x-1)^(1/2)/(x-3)^(1/2)/(x-2)^(1/2),x)","-\frac{2 \sqrt{-x -1}\, \sqrt{x -3}\, \sqrt{x -2}\, \sqrt{x +1}\, \sqrt{3}\, \sqrt{-x +2}\, \sqrt{-x +3}\, \EllipticF \left(\frac{\sqrt{x +1}}{2}, \frac{2 \sqrt{3}}{3}\right)}{3 \left(x^{3}-4 x^{2}+x +6\right)}"," ",0,"-2/3*(-x-1)^(1/2)*(x-3)^(1/2)*(x-2)^(1/2)*(x+1)^(1/2)*3^(1/2)*(-x+2)^(1/2)*(-x+3)^(1/2)*EllipticF(1/2*(x+1)^(1/2),2/3*3^(1/2))/(x^3-4*x^2+x+6)","B"
2854,1,54,44,0.039000," ","int(1/(-x-3)^(1/2)/(-x-1)^(1/2)/(x-2)^(1/2),x)","\frac{2 \sqrt{x +3}\, \sqrt{-x +2}\, \sqrt{3}\, \sqrt{x -2}\, \sqrt{-x -3}\, \EllipticF \left(\frac{\sqrt{-2 x -2}}{2}, \frac{i \sqrt{6}}{3}\right)}{3 \left(x^{2}+x -6\right)}"," ",0,"2/3*EllipticF(1/2*(-2*x-2)^(1/2),1/3*I*6^(1/2))*(x+3)^(1/2)*(-x+2)^(1/2)*3^(1/2)*(x-2)^(1/2)*(-x-3)^(1/2)/(x^2+x-6)","C"
2855,1,46,44,0.037000," ","int(1/(-x-2)^(1/2)/(-x-1)^(1/2)/(x-3)^(1/2),x)","\frac{\sqrt{x +2}\, \sqrt{-x +3}\, \sqrt{x -3}\, \sqrt{-x -2}\, \EllipticF \left(\sqrt{-x -1}, \frac{i}{2}\right)}{x^{2}-x -6}"," ",0,"EllipticF((-x-1)^(1/2),1/2*I)*(x+2)^(1/2)*(-x+3)^(1/2)*(x-3)^(1/2)*(-x-2)^(1/2)/(x^2-x-6)","C"
2856,1,54,13,0.040000," ","int(1/(-x-3)^(1/2)/(-x-2)^(1/2)/(-x-1)^(1/2),x)","\frac{\sqrt{x +2}\, \sqrt{2}\, \sqrt{x +3}\, \sqrt{-x -2}\, \sqrt{-x -3}\, \EllipticF \left(\sqrt{-x -1}, \frac{\sqrt{2}}{2}\right)}{-x^{2}-5 x -6}"," ",0,"1/(-x^2-5*x-6)*EllipticF((-x-1)^(1/2),1/2*2^(1/2))*(x+2)^(1/2)*2^(1/2)*(x+3)^(1/2)*(-x-2)^(1/2)*(-x-3)^(1/2)","B"
2857,1,1011,181,0.049000," ","int(1/(b*x+a)^(3/2)/(d*x+c)^(1/2)/(f*x+e)^(1/2),x)","\frac{2 \left(-b^{2} d f \,x^{2}-\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}\, \sqrt{-\frac{\left(f x +e \right) b}{a f -b e}}\, \sqrt{-\frac{\left(d x +c \right) b}{a d -b c}}\, a^{2} d f \EllipticE \left(\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}, \sqrt{\frac{\left(a d -b c \right) f}{\left(a f -b e \right) d}}\right)+\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}\, \sqrt{-\frac{\left(f x +e \right) b}{a f -b e}}\, \sqrt{-\frac{\left(d x +c \right) b}{a d -b c}}\, a^{2} d f \EllipticF \left(\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}, \sqrt{\frac{\left(a d -b c \right) f}{\left(a f -b e \right) d}}\right)+\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}\, \sqrt{-\frac{\left(f x +e \right) b}{a f -b e}}\, \sqrt{-\frac{\left(d x +c \right) b}{a d -b c}}\, a b c f \EllipticE \left(\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}, \sqrt{\frac{\left(a d -b c \right) f}{\left(a f -b e \right) d}}\right)-\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}\, \sqrt{-\frac{\left(f x +e \right) b}{a f -b e}}\, \sqrt{-\frac{\left(d x +c \right) b}{a d -b c}}\, a b c f \EllipticF \left(\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}, \sqrt{\frac{\left(a d -b c \right) f}{\left(a f -b e \right) d}}\right)+\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}\, \sqrt{-\frac{\left(f x +e \right) b}{a f -b e}}\, \sqrt{-\frac{\left(d x +c \right) b}{a d -b c}}\, a b d e \EllipticE \left(\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}, \sqrt{\frac{\left(a d -b c \right) f}{\left(a f -b e \right) d}}\right)-\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}\, \sqrt{-\frac{\left(f x +e \right) b}{a f -b e}}\, \sqrt{-\frac{\left(d x +c \right) b}{a d -b c}}\, a b d e \EllipticF \left(\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}, \sqrt{\frac{\left(a d -b c \right) f}{\left(a f -b e \right) d}}\right)-\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}\, \sqrt{-\frac{\left(f x +e \right) b}{a f -b e}}\, \sqrt{-\frac{\left(d x +c \right) b}{a d -b c}}\, b^{2} c e \EllipticE \left(\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}, \sqrt{\frac{\left(a d -b c \right) f}{\left(a f -b e \right) d}}\right)+\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}\, \sqrt{-\frac{\left(f x +e \right) b}{a f -b e}}\, \sqrt{-\frac{\left(d x +c \right) b}{a d -b c}}\, b^{2} c e \EllipticF \left(\sqrt{\frac{\left(b x +a \right) d}{a d -b c}}, \sqrt{\frac{\left(a d -b c \right) f}{\left(a f -b e \right) d}}\right)-b^{2} c f x -b^{2} d e x -b^{2} c e \right) \sqrt{f x +e}\, \sqrt{d x +c}\, \sqrt{b x +a}}{\left(a f -b e \right) \left(a d -b c \right) \left(b d f \,x^{3}+a d f \,x^{2}+b c f \,x^{2}+b d e \,x^{2}+a c f x +a d e x +b c e x +a c e \right) b}"," ",0,"2*(EllipticF(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a^2*d*f*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)-EllipticF(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a*b*c*f*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)-EllipticF(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a*b*d*e*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)+EllipticF(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*b^2*c*e*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)-EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a^2*d*f*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)+EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a*b*c*f*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)+EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a*b*d*e*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)-EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*b^2*c*e*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)-x^2*b^2*d*f-x*b^2*c*f-x*b^2*d*e-b^2*c*e)*(f*x+e)^(1/2)*(d*x+c)^(1/2)*(b*x+a)^(1/2)/b/(a*f-b*e)/(a*d-b*c)/(b*d*f*x^3+a*d*f*x^2+b*c*f*x^2+b*d*e*x^2+a*c*f*x+a*d*e*x+b*c*e*x+a*c*e)","B"
2858,1,4067,383,0.087000," ","int(1/(b*x+a)^(5/2)/(d*x+c)^(1/2)/(f*x+e)^(1/2),x)","\text{output too large to display}"," ",0,"2/3*(d*x+c)^(1/2)*(f*x+e)^(1/2)*(-x^2*a*b^3*c*d*f^2-5*x*a^2*b^2*c*d*f^2+2*x^3*b^4*c*d*f^2+2*x^3*b^4*d^2*e*f-5*x^2*a^2*b^2*d^2*f^2+3*x*a*b^3*c^2*f^2+3*x*a*b^3*d^2*e^2+x*b^4*c^2*e*f+x*b^4*c*d*e^2-4*x^3*a*b^3*d^2*f^2+6*EllipticF(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*x*a*b^3*c*d*e*f*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)-8*EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*x*a*b^3*c*d*e*f*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)+2*x^2*b^4*c^2*f^2+2*x^2*b^4*d^2*e^2-b^4*c^2*e^2-4*EllipticF(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*x*a^2*b^2*c*d*f^2*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)-5*EllipticF(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*x*a^2*b^2*d^2*e*f*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)+6*EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*x*a^2*b^2*c*d*f^2*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)+6*EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*x*a^2*b^2*d^2*e*f*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)+6*EllipticF(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a^2*b^2*c*d*e*f*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)-8*EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a^2*b^2*c*d*e*f*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)+3*a*b^3*c^2*e*f+3*a*b^3*c*d*e^2-5*x*a^2*b^2*d^2*e*f-x^2*a*b^3*d^2*e*f+3*x^2*b^4*c*d*e*f-EllipticF(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*x*b^4*c^2*e*f*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)-2*EllipticF(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*x*b^4*c*d*e^2*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)-4*EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*x*a^3*b*d^2*f^2*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)-2*EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*x*a*b^3*c^2*f^2*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)-2*EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*x*a*b^3*d^2*e^2*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)+2*EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*x*b^4*c^2*e*f*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)+2*EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*x*b^4*c*d*e^2*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)-4*EllipticF(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a^3*b*c*d*f^2*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)-5*EllipticF(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a^3*b*d^2*e*f*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)-EllipticF(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a*b^3*c^2*e*f*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)-2*EllipticF(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a*b^3*c*d*e^2*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)+6*EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a^3*b*c*d*f^2*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)+6*EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a^3*b*d^2*e*f*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)-5*a^2*b^2*c*d*e*f+2*EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a*b^3*c^2*e*f*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)+2*EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a*b^3*c*d*e^2*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)+3*EllipticF(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*x*a^3*b*d^2*f^2*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)+EllipticF(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*x*a*b^3*c^2*f^2*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)+2*EllipticF(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*x*a*b^3*d^2*e^2*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)+2*EllipticF(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a^2*b^2*d^2*e^2*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)-2*EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a^2*b^2*c^2*f^2*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)-2*EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a^2*b^2*d^2*e^2*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)+2*x*a*b^3*c*d*e*f+3*EllipticF(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a^4*d^2*f^2*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)-4*EllipticE(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a^4*d^2*f^2*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2)+EllipticF(((b*x+a)/(a*d-b*c)*d)^(1/2),((a*d-b*c)/(a*f-b*e)/d*f)^(1/2))*a^2*b^2*c^2*f^2*((b*x+a)/(a*d-b*c)*d)^(1/2)*(-(f*x+e)/(a*f-b*e)*b)^(1/2)*(-(d*x+c)/(a*d-b*c)*b)^(1/2))/(d*f*x^2+c*f*x+d*e*x+c*e)/(a*d-b*c)/(a*f-b*e)/(a^2*d*f-a*b*c*f-a*b*d*e+b^2*c*e)/(b*x+a)^(3/2)/b","B"
2859,1,150,116,0.020000," ","int((3*x+2)^(7/2)/(-2*x+1)^(1/2)/(5*x+3)^(1/2),x)","\frac{\sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-6075000 x^{5}-21748500 x^{4}-34377300 x^{3}-12194070 x^{2}+8712930 x -1080992 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+544355 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4538340\right)}{7875000 x^{3}+6037500 x^{2}-1837500 x -1575000}"," ",0,"1/262500*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(544355*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1080992*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-6075000*x^5-21748500*x^4-34377300*x^3-12194070*x^2+8712930*x+4538340)/(30*x^3+23*x^2-7*x-6)","C"
2860,1,145,93,0.014000," ","int((3*x+2)^(5/2)/(-2*x+1)^(1/2)/(5*x+3)^(1/2),x)","\frac{\sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-40500 x^{4}-124650 x^{3}-62310 x^{2}+29940 x -5161 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2590 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+18720\right)}{112500 x^{3}+86250 x^{2}-26250 x -22500}"," ",0,"1/3750*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(2590*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-5161*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-40500*x^4-124650*x^3-62310*x^2+29940*x+18720)/(30*x^3+23*x^2-7*x-6)","C"
2861,1,140,70,0.017000," ","int((3*x+2)^(3/2)/(-2*x+1)^(1/2)/(5*x+3)^(1/2),x)","\frac{\sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-900 x^{3}-690 x^{2}+210 x -74 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+35 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+180\right)}{4500 x^{3}+3450 x^{2}-1050 x -900}"," ",0,"1/150*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(35*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-74*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-900*x^3-690*x^2+210*x+180)/(30*x^3+23*x^2-7*x-6)","C"
2862,1,22,23,0.015000," ","int((3*x+2)^(1/2)/(-2*x+1)^(1/2)/(5*x+3)^(1/2),x)","\frac{\sqrt{2}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)}{5}"," ",0,"1/5*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*2^(1/2)","C"
2863,1,21,23,0.016000," ","int(1/(-2*x+1)^(1/2)/(3*x+2)^(1/2)/(5*x+3)^(1/2),x)","\sqrt{2}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)"," ",0,"EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*2^(1/2)","C"
2864,1,92,47,0.020000," ","int(1/(3*x+2)^(3/2)/(-2*x+1)^(1/2)/(5*x+3)^(1/2),x)","-\frac{2 \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-30 x^{2}-3 x +\sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+9\right)}{7 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-2/7*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-30*x^2-3*x+9)/(30*x^3+23*x^2-7*x-6)","C"
2865,1,219,93,0.026000," ","int(1/(3*x+2)^(5/2)/(-2*x+1)^(1/2)/(5*x+3)^(1/2),x)","\frac{2 \left(6660 x^{3}+5316 x^{2}-222 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+105 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1533 x -148 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+70 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1395\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{147 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{3}{2}}}"," ",0,"2/147*(105*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-222*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+70*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-148*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+6660*x^3+5316*x^2-1533*x-1395)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(3/2)","C"
2866,1,314,116,0.024000," ","int(1/(3*x+2)^(7/2)/(-2*x+1)^(1/2)/(5*x+3)^(1/2),x)","\frac{2 \left(2786940 x^{4}+4087854 x^{3}-92898 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+46620 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+850044 x^{2}-123864 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+62160 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1012227 x -41288 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+20720 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-391563\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}}{5145 \left(10 x^{2}+x -3\right) \left(3 x +2\right)^{\frac{5}{2}}}"," ",0,"2/5145*(46620*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-92898*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+62160*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-123864*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+20720*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-41288*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+2786940*x^4+4087854*x^3+850044*x^2-1012227*x-391563)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(10*x^2+x-3)/(3*x+2)^(5/2)","C"
2867,1,145,116,0.022000," ","int((3*x+2)^(7/2)/(5*x+3)^(3/2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-445500 x^{4}-1420650 x^{3}-723960 x^{2}+340790 x -61151 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+30065 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+216020\right)}{2062500 x^{3}+1581250 x^{2}-481250 x -412500}"," ",0,"1/68750*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(30065*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-61151*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-445500*x^4-1420650*x^3-723960*x^2+340790*x+216020)/(30*x^3+23*x^2-7*x-6)","C"
2868,1,140,93,0.021000," ","int((3*x+2)^(5/2)/(5*x+3)^(3/2)/(-2*x+1)^(1/2),x)","\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-9900 x^{3}-7710 x^{2}+2290 x -876 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+315 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2020\right)}{82500 x^{3}+63250 x^{2}-19250 x -16500}"," ",0,"1/2750*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(315*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-876*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-9900*x^3-7710*x^2+2290*x+2020)/(30*x^3+23*x^2-7*x-6)","C"
2869,1,135,70,0.020000," ","int((3*x+2)^(3/2)/(5*x+3)^(3/2)/(-2*x+1)^(1/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(60 x^{2}+10 x +31 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+35 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-20\right)}{275 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/275*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(35*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+31*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+60*x^2+10*x-20)/(30*x^3+23*x^2-7*x-6)","C"
2870,1,135,60,0.020000," ","int((3*x+2)^(1/2)/(5*x+3)^(3/2)/(-2*x+1)^(1/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(60 x^{2}+10 x -2 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+35 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-20\right)}{55 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/55*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(35*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+60*x^2+10*x-20)/(30*x^3+23*x^2-7*x-6)","C"
2871,1,134,47,0.022000," ","int(1/(5*x+3)^(3/2)/(-2*x+1)^(1/2)/(3*x+2)^(1/2),x)","-\frac{2 \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \left(30 x^{2}+5 x -\sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+\sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-10\right)}{11 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-2/11*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+30*x^2+5*x-10)/(30*x^3+23*x^2-7*x-6)","C"
2872,1,135,93,0.024000," ","int(1/(3*x+2)^(3/2)/(5*x+3)^(3/2)/(-2*x+1)^(1/2),x)","-\frac{2 \sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(2040 x^{2}+274 x -68 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+35 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-647\right)}{77 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-2/77*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(35*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-68*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+2040*x^2+274*x-647)/(30*x^3+23*x^2-7*x-6)","C"
2873,1,219,116,0.028000," ","int(1/(3*x+2)^(5/2)/(5*x+3)^(3/2)/(-2*x+1)^(1/2),x)","-\frac{2 \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(287460 x^{3}+230046 x^{2}-9582 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4830 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-65618 x -6388 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3220 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-60635\right)}{539 \left(3 x +2\right)^{\frac{3}{2}} \left(10 x^{2}+x -3\right)}"," ",0,"-2/539*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(4830*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-9582*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+3220*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-6388*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+287460*x^3+230046*x^2-65618*x-60635)/(3*x+2)^(3/2)/(10*x^2+x-3)","C"
2874,1,314,139,0.029000," ","int(1/(3*x+2)^(7/2)/(5*x+3)^(3/2)/(-2*x+1)^(1/2),x)","-\frac{2 \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(181572840 x^{4}+266351544 x^{3}-6052428 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3048570 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+55417134 x^{2}-8069904 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4064760 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-65934172 x -2689968 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1354920 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-25529443\right)}{18865 \left(3 x +2\right)^{\frac{5}{2}} \left(10 x^{2}+x -3\right)}"," ",0,"-2/18865*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3048570*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-6052428*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+4064760*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-8069904*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1354920*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2689968*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+181572840*x^4+266351544*x^3+55417134*x^2-65934172*x-25529443)/(3*x+2)^(5/2)/(10*x^2+x-3)","C"
2875,1,229,139,0.024000," ","int((3*x+2)^(9/2)/(5*x+3)^(5/2)/(-2*x+1)^(1/2),x)","\frac{\left(-220522500 x^{5}-860037750 x^{4}-814782000 x^{3}-52653770 x^{2}-32577695 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+15308300 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+216708080 x -19546617 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+9184980 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+67300840\right) \sqrt{-2 x +1}\, \sqrt{3 x +2}}{11343750 \left(6 x^{2}+x -2\right) \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/11343750*(15308300*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-32577695*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+9184980*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-19546617*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-220522500*x^5-860037750*x^4-814782000*x^3-52653770*x^2+216708080*x+67300840)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)/(6*x^2+x-2)/(5*x+3)^(3/2)","C"
2876,1,224,116,0.025000," ","int((3*x+2)^(7/2)/(5*x+3)^(5/2)/(-2*x+1)^(1/2),x)","\frac{\left(-4900500 x^{4}-6897750 x^{3}-1265740 x^{2}-461590 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+85225 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1712710 x -276954 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+51135 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+628580\right) \sqrt{-2 x +1}\, \sqrt{3 x +2}}{453750 \left(6 x^{2}+x -2\right) \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"1/453750*(85225*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-461590*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+51135*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-276954*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-4900500*x^4-6897750*x^3-1265740*x^2+1712710*x+628580)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)/(6*x^2+x-2)/(5*x+3)^(3/2)","C"
2877,1,219,93,0.024000," ","int((3*x+2)^(5/2)/(5*x+3)^(5/2)/(-2*x+1)^(1/2),x)","-\frac{\left(70500 x^{3}+54710 x^{2}+13985 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+35350 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-16340 x +8391 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+21210 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-14320\right) \sqrt{-2 x +1}\, \sqrt{3 x +2}}{45375 \left(6 x^{2}+x -2\right) \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"-1/45375*(35350*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+13985*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+21210*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+8391*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+70500*x^3+54710*x^2-16340*x-14320)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)/(6*x^2+x-2)/(5*x+3)^(3/2)","C"
2878,1,219,93,0.025000," ","int((3*x+2)^(3/2)/(5*x+3)^(5/2)/(-2*x+1)^(1/2),x)","-\frac{\left(40800 x^{3}+31940 x^{2}-1360 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+18025 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-9410 x -816 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+10815 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-8380\right) \sqrt{-2 x +1}\, \sqrt{3 x +2}}{9075 \left(6 x^{2}+x -2\right) \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"-1/9075*(18025*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1360*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+10815*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-816*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+40800*x^3+31940*x^2-9410*x-8380)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)/(6*x^2+x-2)/(5*x+3)^(3/2)","C"
2879,1,219,93,0.023000," ","int((3*x+2)^(1/2)/(5*x+3)^(5/2)/(-2*x+1)^(1/2),x)","-\frac{2 \left(5550 x^{3}+4585 x^{2}-185 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+350 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1240 x -111 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+210 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1220\right) \sqrt{-2 x +1}\, \sqrt{3 x +2}}{1815 \left(6 x^{2}+x -2\right) \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"-2/1815*(350*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-185*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+210*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-111*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+5550*x^3+4585*x^2-1240*x-1220)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)/(6*x^2+x-2)/(5*x+3)^(3/2)","C"
2880,1,219,93,0.026000," ","int(1/(5*x+3)^(5/2)/(-2*x+1)^(1/2)/(3*x+2)^(1/2),x)","\frac{2 \left(9300 x^{3}+6800 x^{2}-310 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+145 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2225 x -186 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+87 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1750\right) \sqrt{3 x +2}\, \sqrt{-2 x +1}}{363 \left(6 x^{2}+x -2\right) \left(5 x +3\right)^{\frac{3}{2}}}"," ",0,"2/363*(145*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-310*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+87*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-186*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+9300*x^3+6800*x^2-2225*x-1750)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)/(6*x^2+x-2)/(5*x+3)^(3/2)","C"
2881,1,219,116,0.027000," ","int(1/(3*x+2)^(3/2)/(5*x+3)^(5/2)/(-2*x+1)^(1/2),x)","\frac{2 \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \left(1335300 x^{3}+979510 x^{2}-44510 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+22400 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-316762 x -26706 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+13440 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-253409\right)}{2541 \left(5 x +3\right)^{\frac{3}{2}} \left(6 x^{2}+x -2\right)}"," ",0,"2/2541*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(22400*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-44510*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+13440*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-26706*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+1335300*x^3+979510*x^2-316762*x-253409)/(5*x+3)^(3/2)/(6*x^2+x-2)","C"
2882,1,311,139,0.028000," ","int(1/(3*x+2)^(5/2)/(5*x+3)^(5/2)/(-2*x+1)^(1/2),x)","\frac{2 \sqrt{-2 x +1}\, \left(282499200 x^{4}+395567940 x^{3}-9416640 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4742850 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+71148442 x^{2}-11927744 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+6007610 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-98284156 x -3766656 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1897140 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-35747225\right)}{17787 \left(3 x +2\right)^{\frac{3}{2}} \left(5 x +3\right)^{\frac{3}{2}} \left(2 x -1\right)}"," ",0,"2/17787*(-2*x+1)^(1/2)*(4742850*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-9416640*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+6007610*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-11927744*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1897140*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-3766656*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+282499200*x^4+395567940*x^3+71148442*x^2-98284156*x-35747225)/(3*x+2)^(3/2)/(5*x+3)^(3/2)/(2*x-1)","C"
2883,1,406,162,0.032000," ","int(1/(3*x+2)^(7/2)/(5*x+3)^(5/2)/(-2*x+1)^(1/2),x)","\frac{2 \sqrt{-2 x +1}\, \left(238190635800 x^{5}+492319036260 x^{4}-7939687860 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3999038400 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+282339600948 x^{3}-15350063196 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+7731474240 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-42875753542 x^{2}-9880500448 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4976581120 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-85386271094 x -2117250096 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1066410240 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-20093773321\right)}{622545 \left(3 x +2\right)^{\frac{5}{2}} \left(5 x +3\right)^{\frac{3}{2}} \left(2 x -1\right)}"," ",0,"2/622545*(-2*x+1)^(1/2)*(3999038400*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-7939687860*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+7731474240*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-15350063196*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+4976581120*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-9880500448*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1066410240*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2117250096*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+238190635800*x^5+492319036260*x^4+282339600948*x^3-42875753542*x^2-85386271094*x-20093773321)/(3*x+2)^(5/2)/(5*x+3)^(3/2)/(2*x-1)","C"
2884,1,155,73,0.056000," ","int(x^(1/2)/(a+2*x)^(1/2)/(c+2*x)^(1/2),x)","-\frac{\left(a \EllipticE \left(\sqrt{\frac{a +2 x}{a}}, \sqrt{\frac{a}{a -c}}\right)-c \EllipticE \left(\sqrt{\frac{a +2 x}{a}}, \sqrt{\frac{a}{a -c}}\right)+c \EllipticF \left(\sqrt{\frac{a +2 x}{a}}, \sqrt{\frac{a}{a -c}}\right)\right) \sqrt{2}\, \sqrt{-\frac{x}{a}}\, \sqrt{-\frac{c +2 x}{a -c}}\, \sqrt{\frac{a +2 x}{a}}\, \sqrt{c +2 x}\, \sqrt{a +2 x}\, a}{2 \left(a c +2 a x +2 c x +4 x^{2}\right) \sqrt{x}}"," ",0,"-1/2*(c*EllipticF(((a+2*x)/a)^(1/2),(a/(a-c))^(1/2))+EllipticE(((a+2*x)/a)^(1/2),(a/(a-c))^(1/2))*a-EllipticE(((a+2*x)/a)^(1/2),(a/(a-c))^(1/2))*c)*2^(1/2)*(-1/a*x)^(1/2)*(-(c+2*x)/(a-c))^(1/2)*((a+2*x)/a)^(1/2)*a*(c+2*x)^(1/2)*(a+2*x)^(1/2)/x^(1/2)/(a*c+2*a*x+2*c*x+4*x^2)","B"
2885,1,13,15,0.036000," ","int(1/(-x+4)^(1/2)/(5-x)^(1/2)/(x-3)^(1/2),x)","-2 \EllipticF \left(\sqrt{-x +4}, i\right)"," ",0,"-2*EllipticF((-x+4)^(1/2),I)","C"
2886,1,35,12,0.014000," ","int(1/(-x+4)^(1/2)/((5-x)*(x-3))^(1/2),x)","-\frac{2 \sqrt{-x +5}\, \sqrt{x -3}\, \EllipticF \left(\sqrt{-x +4}, i\right)}{\sqrt{-\left(x -5\right) \left(x -3\right)}}"," ",0,"-2*EllipticF((-x+4)^(1/2),I)*(5-x)^(1/2)*(x-3)^(1/2)/(-(-5+x)*(x-3))^(1/2)","B"
2887,1,47,12,0.013000," ","int(1/(-x+4)^(1/2)/(-x^2+8*x-15)^(1/2),x)","\frac{2 \sqrt{x -3}\, \sqrt{-x +5}\, \sqrt{-x^{2}+8 x -15}\, \EllipticF \left(\sqrt{-x +4}, i\right)}{x^{2}-8 x +15}"," ",0,"2*EllipticF((-x+4)^(1/2),I)*(x-3)^(1/2)*(-x+5)^(1/2)*(-x^2+8*x-15)^(1/2)/(x^2-8*x+15)","B"
2888,1,21,12,0.043000," ","int(1/(6-x)^(1/2)/(x-2)^(1/2)/(x-1)^(1/2),x)","-\frac{2 \sqrt{5}\, \EllipticF \left(\frac{\sqrt{-x +6}}{2}, \frac{2 \sqrt{5}}{5}\right)}{5}"," ",0,"-2/5*EllipticF(1/2*(6-x)^(1/2),2/5*5^(1/2))*5^(1/2)","A"
2889,1,43,20,0.015000," ","int(1/((-x+6)*(x-2))^(1/2)/(x-1)^(1/2),x)","-\frac{2 \sqrt{x -2}\, \sqrt{-x +6}\, \sqrt{5}\, \EllipticF \left(\frac{\sqrt{-x +6}}{2}, \frac{2 \sqrt{5}}{5}\right)}{5 \sqrt{-\left(x -2\right) \left(x -6\right)}}"," ",0,"-2/5*(x-2)^(1/2)*(-x+6)^(1/2)*5^(1/2)*EllipticF(1/2*(-x+6)^(1/2),2/5*5^(1/2))/(-(x-2)*(x-6))^(1/2)","B"
2890,1,55,20,0.015000," ","int(1/(x-1)^(1/2)/(-x^2+8*x-12)^(1/2),x)","\frac{2 \sqrt{x -2}\, \sqrt{5}\, \sqrt{-x +6}\, \sqrt{-x^{2}+8 x -12}\, \EllipticF \left(\frac{\sqrt{-x +6}}{2}, \frac{2 \sqrt{5}}{5}\right)}{5 \left(x^{2}-8 x +12\right)}"," ",0,"2/5*EllipticF(1/2*(-x+6)^(1/2),2/5*5^(1/2))*(x-2)^(1/2)*5^(1/2)*(-x+6)^(1/2)*(-x^2+8*x-12)^(1/2)/(x^2-8*x+12)","B"
2891,1,150,138,0.036000," ","int((3*x+2)^(7/2)*(5*x+3)^(1/2)/(-2*x+1)^(3/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-3037500 x^{5}-15552000 x^{4}-40681350 x^{3}+13496910 x^{2}+52704660 x -4071079 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2050510 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+19756080\right)}{52500 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/52500*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(2050510*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-4071079*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-3037500*x^5-15552000*x^4-40681350*x^3+13496910*x^2+52704660*x+19756080)/(30*x^3+23*x^2-7*x-6)","C"
2892,1,145,115,0.018000," ","int((3*x+2)^(5/2)*(5*x+3)^(1/2)/(-2*x+1)^(3/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-40500 x^{4}-198900 x^{3}+156390 x^{2}+396390 x -29116 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+14665 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+143820\right)}{1500 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/1500*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(14665*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-29116*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-40500*x^4-198900*x^3+156390*x^2+396390*x+143820)/(30*x^3+23*x^2-7*x-6)","C"
2893,1,140,92,0.020000," ","int((3*x+2)^(3/2)*(5*x+3)^(1/2)/(-2*x+1)^(3/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-450 x^{3}+1230 x^{2}+2100 x -139 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+70 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+720\right)}{30 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/30*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(70*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-139*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-450*x^3+1230*x^2+2100*x+720)/(30*x^3+23*x^2-7*x-6)","C"
2894,1,134,68,0.015000," ","int((3*x+2)^(1/2)*(5*x+3)^(1/2)/(-2*x+1)^(3/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(30 x^{2}+38 x -2 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+\sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+12\right)}{2 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/2*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+30*x^2+38*x+12)/(30*x^3+23*x^2-7*x-6)","C"
2895,1,92,47,0.018000," ","int((5*x+3)^(1/2)/(-2*x+1)^(3/2)/(3*x+2)^(1/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \left(-30 x^{2}-38 x +\sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-12\right)}{210 x^{3}+161 x^{2}-49 x -42}"," ",0,"1/7*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-30*x^2-38*x-12)/(30*x^3+23*x^2-7*x-6)","C"
2896,1,135,93,0.023000," ","int((5*x+3)^(1/2)/(-2*x+1)^(3/2)/(3*x+2)^(3/2),x)","-\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \left(120 x^{2}+82 x -4 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+35 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+6\right)}{49 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/49*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(35*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-4*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+120*x^2+82*x+6)/(30*x^3+23*x^2-7*x-6)","C"
2897,1,219,116,0.025000," ","int((5*x+3)^(1/2)/(-2*x+1)^(3/2)/(3*x+2)^(5/2),x)","-\frac{2 \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-1710 x^{3}-471 x^{2}+57 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+420 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1218 x +38 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+280 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+531\right)}{1029 \left(3 x +2\right)^{\frac{3}{2}} \left(10 x^{2}+x -3\right)}"," ",0,"-2/1029*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(420*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+57*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+280*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+38*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1710*x^3-471*x^2+1218*x+531)/(3*x+2)^(3/2)/(10*x^2+x-3)","C"
2898,1,314,139,0.028000," ","int((5*x+3)^(1/2)/(-2*x+1)^(3/2)/(3*x+2)^(7/2),x)","-\frac{2 \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-760860 x^{4}-1082376 x^{3}+25362 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4095 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-178611 x^{2}+33816 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+5460 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+296988 x +11272 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1820 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+107307\right)}{36015 \left(3 x +2\right)^{\frac{5}{2}} \left(10 x^{2}+x -3\right)}"," ",0,"-2/36015*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(4095*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+25362*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+5460*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+33816*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1820*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+11272*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-760860*x^4-1082376*x^3-178611*x^2+296988*x+107307)/(3*x+2)^(5/2)/(10*x^2+x-3)","C"
2899,1,155,161,0.022000," ","int((3*x+2)^(7/2)*(5*x+3)^(3/2)/(-2*x+1)^(3/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-212625000 x^{6}-1170450000 x^{5}-3084088500 x^{4}-5687610300 x^{3}+909722730 x^{2}+5675744730 x -450172412 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+226741655 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2168026740\right)}{945000 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/945000*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(-212625000*x^6+226741655*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-450172412*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1170450000*x^5-3084088500*x^4-5687610300*x^3+909722730*x^2+5675744730*x+2168026740)/(30*x^3+23*x^2-7*x-6)","C"
2900,1,150,138,0.021000," ","int((3*x+2)^(5/2)*(5*x+3)^(3/2)/(-2*x+1)^(3/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-1012500 x^{5}-5089500 x^{4}-13096350 x^{3}+4134060 x^{2}+16643310 x -1289089 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+649285 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+6249780\right)}{10500 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/10500*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(649285*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1289089*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1012500*x^5-5089500*x^4-13096350*x^3+4134060*x^2+16643310*x+6249780)/(30*x^3+23*x^2-7*x-6)","C"
2901,1,145,115,0.020000," ","int((3*x+2)^(3/2)*(5*x+3)^(3/2)/(-2*x+1)^(3/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-13500 x^{4}-64800 x^{3}+48030 x^{2}+125130 x -9242 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4655 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+45540\right)}{300 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/300*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(4655*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-9242*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-13500*x^4-64800*x^3+48030*x^2+125130*x+45540)/(30*x^3+23*x^2-7*x-6)","C"
2902,1,140,92,0.018000," ","int((5*x+3)^(3/2)*(3*x+2)^(1/2)/(-2*x+1)^(3/2),x)","-\frac{\sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \left(-450 x^{3}+1140 x^{2}+1986 x -133 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+67 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+684\right)}{18 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/18*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(67*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-133*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-450*x^3+1140*x^2+1986*x+684)/(30*x^3+23*x^2-7*x-6)","C"
2903,1,135,70,0.022000," ","int((5*x+3)^(3/2)/(-2*x+1)^(3/2)/(3*x+2)^(1/2),x)","-\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \left(990 x^{2}+1254 x -68 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+35 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+396\right)}{42 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/42*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(35*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-68*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+990*x^2+1254*x+396)/(30*x^3+23*x^2-7*x-6)","C"
2904,1,135,93,0.021000," ","int((5*x+3)^(3/2)/(-2*x+1)^(3/2)/(3*x+2)^(3/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \left(-930 x^{2}-1248 x +31 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+35 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-414\right)}{4410 x^{3}+3381 x^{2}-1029 x -882}"," ",0,"1/147*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(35*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+31*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-930*x^2-1248*x-414)/(30*x^3+23*x^2-7*x-6)","C"
2905,1,219,116,0.025000," ","int((5*x+3)^(3/2)/(-2*x+1)^(3/2)/(3*x+2)^(5/2),x)","-\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(41220 x^{3}+51972 x^{2}-1374 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+10185 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+16674 x -916 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+6790 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+198\right)}{3087 \left(3 x +2\right)^{\frac{3}{2}} \left(10 x^{2}+x -3\right)}"," ",0,"-1/3087*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(10185*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1374*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+6790*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-916*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+41220*x^3+51972*x^2+16674*x+198)/(3*x+2)^(3/2)/(10*x^2+x-3)","C"
2906,1,314,139,0.026000," ","int((5*x+3)^(3/2)/(-2*x+1)^(3/2)/(3*x+2)^(7/2),x)","-\frac{2 \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-45630 x^{4}+78867 x^{3}+1521 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+72135 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+217737 x^{2}+2028 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+96180 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+136029 x +676 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+32060 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+26181\right)}{36015 \left(3 x +2\right)^{\frac{5}{2}} \left(10 x^{2}+x -3\right)}"," ",0,"-2/36015*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(72135*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1521*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+96180*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+2028*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+32060*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+676*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-45630*x^4+78867*x^3+217737*x^2+136029*x+26181)/(3*x+2)^(5/2)/(10*x^2+x-3)","C"
2907,1,409,162,0.029000," ","int((5*x+3)^(3/2)/(-2*x+1)^(3/2)/(3*x+2)^(9/2),x)","-\frac{2 \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-76694040 x^{5}-155918574 x^{4}+2556468 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2569455 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-81009855 x^{3}+5112936 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+5138910 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+25148721 x^{2}+3408624 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3425940 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+32650161 x +757472 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+761320 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+7281747\right)}{1764735 \left(3 x +2\right)^{\frac{7}{2}} \left(10 x^{2}+x -3\right)}"," ",0,"-2/1764735*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(2556468*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+2569455*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+5112936*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+5138910*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+3408624*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+3425940*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+757472*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+761320*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-76694040*x^5-155918574*x^4-81009855*x^3+25148721*x^2+32650161*x+7281747)/(3*x+2)^(7/2)/(10*x^2+x-3)","C"
2908,1,160,184,0.021000," ","int((3*x+2)^(7/2)*(5*x+3)^(5/2)/(-2*x+1)^(3/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-5740875000 x^{7}-34360200000 x^{6}-96607282500 x^{5}-176337108000 x^{4}-260638195950 x^{3}+22779247470 x^{2}+222671450220 x -17888580643 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+9010073170 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+85887999360\right)}{6237000 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/6237000*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(-5740875000*x^7-34360200000*x^6+9010073170*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-17888580643*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-96607282500*x^5-176337108000*x^4-260638195950*x^3+22779247470*x^2+222671450220*x+85887999360)/(30*x^3+23*x^2-7*x-6)","C"
2909,1,155,161,0.020000," ","int((3*x+2)^(5/2)*(5*x+3)^(5/2)/(-2*x+1)^(3/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-42525000 x^{6}-230445000 x^{5}-598495500 x^{4}-1090375200 x^{3}+167061930 x^{2}+1075233030 x -85393762 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+43010905 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+411106140\right)}{113400 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/113400*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(-42525000*x^6+43010905*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-85393762*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-230445000*x^5-598495500*x^4-1090375200*x^3+167061930*x^2+1075233030*x+411106140)/(30*x^3+23*x^2-7*x-6)","C"
2910,1,150,138,0.020000," ","int((3*x+2)^(3/2)*(5*x+3)^(5/2)/(-2*x+1)^(3/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-202500 x^{5}-999000 x^{4}-2528550 x^{3}+759570 x^{2}+3153480 x -244879 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+123340 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1186200\right)}{1260 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/1260*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(123340*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-244879*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-202500*x^5-999000*x^4-2528550*x^3+759570*x^2+3153480*x+1186200)/(30*x^3+23*x^2-7*x-6)","C"
2911,1,145,115,0.020000," ","int((5*x+3)^(5/2)*(3*x+2)^(1/2)/(-2*x+1)^(3/2),x)","-\frac{\sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \left(-40500 x^{4}-189900 x^{3}+132690 x^{2}+355530 x -26396 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+13295 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+129780\right)}{540 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/540*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(13295*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-26396*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-40500*x^4-189900*x^3+132690*x^2+355530*x+129780)/(30*x^3+23*x^2-7*x-6)","C"
2912,1,140,93,0.021000," ","int((5*x+3)^(5/2)/(-2*x+1)^(3/2)/(3*x+2)^(1/2),x)","-\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \left(-15750 x^{3}+36930 x^{2}+65748 x -4451 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2240 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+22752\right)}{378 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/378*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(2240*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-4451*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-15750*x^3+36930*x^2+65748*x+22752)/(30*x^3+23*x^2-7*x-6)","C"
2913,1,135,93,0.020000," ","int((5*x+3)^(5/2)/(-2*x+1)^(3/2)/(3*x+2)^(3/2),x)","-\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \left(32790 x^{2}+41394 x -2318 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1295 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+13032\right)}{882 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/882*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(1295*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2318*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+32790*x^2+41394*x+13032)/(30*x^3+23*x^2-7*x-6)","C"
2914,1,219,116,0.026000," ","int((5*x+3)^(5/2)/(-2*x+1)^(3/2)/(3*x+2)^(5/2),x)","\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-251730 x^{3}-536448 x^{2}+8391 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+21210 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-375816 x +5594 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+14140 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-86742\right)}{9261 \left(3 x +2\right)^{\frac{3}{2}} \left(10 x^{2}+x -3\right)}"," ",0,"1/9261*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(21210*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+8391*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+14140*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+5594*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-251730*x^3-536448*x^2-375816*x-86742)/(3*x+2)^(3/2)/(10*x^2+x-3)","C"
2915,1,314,139,0.026000," ","int((5*x+3)^(5/2)/(-2*x+1)^(3/2)/(3*x+2)^(7/2),x)","-\frac{\sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(21914280 x^{4}+41239098 x^{3}-730476 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4914315 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+25637628 x^{2}-973968 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+6552420 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+5123676 x -324656 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2184140 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-87786\right)}{324135 \left(3 x +2\right)^{\frac{5}{2}} \left(10 x^{2}+x -3\right)}"," ",0,"-1/324135*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(4914315*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-730476*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+6552420*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-973968*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+2184140*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-324656*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+21914280*x^4+41239098*x^3+25637628*x^2+5123676*x-87786)/(3*x+2)^(5/2)/(10*x^2+x-3)","C"
2916,1,409,162,0.029000," ","int((5*x+3)^(5/2)/(-2*x+1)^(3/2)/(3*x+2)^(9/2),x)","-\frac{2 \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(43155990 x^{5}+191527119 x^{4}-1438533 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+50449770 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+279691380 x^{3}-2877066 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+100899540 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+181523724 x^{2}-1918044 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+67266360 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+53247084 x -426232 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+14948080 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+5546943\right)}{5294205 \left(3 x +2\right)^{\frac{7}{2}} \left(10 x^{2}+x -3\right)}"," ",0,"-2/5294205*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(50449770*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1438533*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+100899540*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2877066*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+67266360*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1918044*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+14948080*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-426232*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+43155990*x^5+191527119*x^4+279691380*x^3+181523724*x^2+53247084*x+5546943)/(3*x+2)^(7/2)/(10*x^2+x-3)","C"
2917,1,504,185,0.033000," ","int((5*x+3)^(5/2)/(-2*x+1)^(3/2)/(3*x+2)^(11/2),x)","-\frac{2 \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \left(-7333774020 x^{6}-19175958792 x^{5}+244459134 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+557074665 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-15866344773 x^{4}+651891024 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1485532440 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-781374312 x^{3}+651891024 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1485532440 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+5699519700 x^{2}+289729344 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+660236640 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2979130038 x +48288224 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+110039440 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+474194367\right)}{66706983 \left(3 x +2\right)^{\frac{9}{2}} \left(10 x^{2}+x -3\right)}"," ",0,"-2/66706983*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(557074665*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+244459134*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1485532440*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+651891024*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1485532440*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+651891024*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+660236640*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+289729344*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-7333774020*x^6+110039440*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+48288224*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-19175958792*x^5-15866344773*x^4-781374312*x^3+5699519700*x^2+2979130038*x+474194367)/(3*x+2)^(9/2)/(10*x^2+x-3)","C"
2918,1,145,116,0.019000," ","int((3*x+2)^(7/2)/(-2*x+1)^(3/2)/(5*x+3)^(1/2),x)","\frac{\sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(445500 x^{4}+2237400 x^{3}-1866090 x^{2}-4604590 x +336246 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-169365 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1665420\right)}{825000 x^{3}+632500 x^{2}-192500 x -165000}"," ",0,"1/27500*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(336246*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-169365*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+445500*x^4+2237400*x^3-1866090*x^2-4604590*x-1665420)/(30*x^3+23*x^2-7*x-6)","C"
2919,1,140,93,0.020000," ","int((3*x+2)^(5/2)/(-2*x+1)^(3/2)/(5*x+3)^(1/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-4950 x^{3}+14580 x^{2}+24430 x -1597 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+805 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+8340\right)}{550 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/550*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(805*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1597*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-4950*x^3+14580*x^2+24430*x+8340)/(30*x^3+23*x^2-7*x-6)","C"
2920,1,135,70,0.021000," ","int((3*x+2)^(3/2)/(-2*x+1)^(3/2)/(5*x+3)^(1/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(1050 x^{2}+1330 x -68 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+35 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+420\right)}{110 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/110*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(35*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-68*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+1050*x^2+1330*x+420)/(30*x^3+23*x^2-7*x-6)","C"
2921,1,134,47,0.019000," ","int((3*x+2)^(1/2)/(-2*x+1)^(3/2)/(5*x+3)^(1/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(30 x^{2}+38 x -\sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+\sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+12\right)}{11 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/11*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+30*x^2+38*x+12)/(30*x^3+23*x^2-7*x-6)","C"
2922,1,135,60,0.020000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^(1/2)/(5*x+3)^(1/2),x)","-\frac{\sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(60 x^{2}+76 x -2 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+35 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+24\right)}{77 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/77*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(35*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+60*x^2+76*x+24)/(30*x^3+23*x^2-7*x-6)","C"
2923,1,135,93,0.021000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^(3/2)/(5*x+3)^(1/2),x)","-\frac{2 \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}\, \left(-930 x^{2}-23 x +31 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+35 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+321\right)}{539 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-2/539*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(35*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+31*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-930*x^2-23*x+321)/(30*x^3+23*x^2-7*x-6)","C"
2924,1,219,116,0.027000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^(5/2)/(5*x+3)^(1/2),x)","\frac{2 \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(78840 x^{3}+62334 x^{2}-2628 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+945 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-18697 x -1752 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+630 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-16629\right)}{3773 \left(3 x +2\right)^{\frac{3}{2}} \left(10 x^{2}+x -3\right)}"," ",0,"2/3773*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(945*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2628*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+630*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1752*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+78840*x^3+62334*x^2-18697*x-16629)/(3*x+2)^(3/2)/(10*x^2+x-3)","C"
2925,1,314,139,0.029000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^(7/2)/(5*x+3)^(1/2),x)","\frac{2 \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(33021540 x^{4}+48413214 x^{3}-1100718 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+541170 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+10036254 x^{2}-1467624 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+721560 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-12007307 x -489208 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+240520 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-4639773\right)}{132055 \left(3 x +2\right)^{\frac{5}{2}} \left(10 x^{2}+x -3\right)}"," ",0,"2/132055*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(541170*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1100718*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+721560*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1467624*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+240520*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-489208*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+33021540*x^4+48413214*x^3+10036254*x^2-12007307*x-4639773)/(3*x+2)^(5/2)/(10*x^2+x-3)","C"
2926,1,145,139,0.024000," ","int((3*x+2)^(9/2)/(-2*x+1)^(3/2)/(5*x+3)^(3/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-14701500 x^{4}-75467700 x^{3}+66761070 x^{2}+160479070 x -11646308 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+5867645 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+57857660\right)}{1512500 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/1512500*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(5867645*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-11646308*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-14701500*x^4-75467700*x^3+66761070*x^2+160479070*x+57857660)/(30*x^3+23*x^2-7*x-6)","C"
2927,1,140,116,0.023000," ","int((3*x+2)^(7/2)/(-2*x+1)^(3/2)/(5*x+3)^(3/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-163350 x^{3}+518010 x^{2}+852760 x -55019 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+27860 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+289880\right)}{30250 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/30250*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(27860*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-55019*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-163350*x^3+518010*x^2+852760*x+289880)/(30*x^3+23*x^2-7*x-6)","C"
2928,1,135,93,0.020000," ","int((3*x+2)^(5/2)/(-2*x+1)^(3/2)/(5*x+3)^(3/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(36870 x^{2}+46570 x -2318 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1295 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+14660\right)}{6050 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/6050*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(1295*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2318*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+36870*x^2+46570*x+14660)/(30*x^3+23*x^2-7*x-6)","C"
2929,1,135,93,0.023000," ","int((3*x+2)^(3/2)/(-2*x+1)^(3/2)/(5*x+3)^(3/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(1110 x^{2}+1340 x -37 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+70 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+400\right)}{605 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/605*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(70*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-37*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+1110*x^2+1340*x+400)/(30*x^3+23*x^2-7*x-6)","C"
2930,1,135,93,0.023000," ","int((3*x+2)^(1/2)/(-2*x+1)^(3/2)/(5*x+3)^(3/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(120 x^{2}+86 x -4 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+37 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4\right)}{121 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-1/121*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(37*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-4*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+120*x^2+86*x+4)/(30*x^3+23*x^2-7*x-6)","C"
2931,1,135,93,0.022000," ","int(1/(-2*x+1)^(3/2)/(5*x+3)^(3/2)/(3*x+2)^(1/2),x)","-\frac{2 \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \left(1110 x^{2}+251 x -37 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+70 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-326\right)}{847 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-2/847*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(70*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-37*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+1110*x^2+251*x-326)/(30*x^3+23*x^2-7*x-6)","C"
2932,1,135,116,0.026000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^(3/2)/(5*x+3)^(3/2),x)","-\frac{2 \left(69540 x^{2}+9544 x -2318 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1295 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-22003\right) \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}}{5929 \left(30 x^{3}+23 x^{2}-7 x -6\right)}"," ",0,"-2/5929*(1295*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2318*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+69540*x^2+9544*x-22003)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)/(30*x^3+23*x^2-7*x-6)","C"
2933,1,219,139,0.031000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^(5/2)/(5*x+3)^(3/2),x)","-\frac{2 \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(9903420 x^{3}+7926942 x^{2}-330114 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+167160 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2259236 x -220076 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+111440 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2088967\right)}{41503 \left(3 x +2\right)^{\frac{3}{2}} \left(10 x^{2}+x -3\right)}"," ",0,"-2/41503*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(167160*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-330114*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+111440*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-220076*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+9903420*x^3+7926942*x^2-2259236*x-2088967)/(3*x+2)^(3/2)/(10*x^2+x-3)","C"
2934,1,314,162,0.029000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^(7/2)/(5*x+3)^(3/2),x)","\frac{2 \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \left(-6289006320 x^{4}-9225477612 x^{3}+209633544 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-105617610 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1919527182 x^{2}+279511392 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-140823480 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2283681406 x +93170464 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-46941160 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+884250959\right)}{1452605 \left(3 x +2\right)^{\frac{5}{2}} \left(10 x^{2}+x -3\right)}"," ",0,"2/1452605*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(209633544*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-105617610*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+279511392*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-140823480*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+93170464*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-46941160*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-6289006320*x^4-9225477612*x^3-1919527182*x^2+2283681406*x+884250959)/(3*x+2)^(5/2)/(10*x^2+x-3)","C"
2935,1,229,162,0.027000," ","int((3*x+2)^(11/2)/(-2*x+1)^(3/2)/(5*x+3)^(5/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{-2 x +1}\, \left(-7277242500 x^{5}-42531439500 x^{4}+12906800250 x^{3}+105386556340 x^{2}-6049156310 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3049897025 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+80492762390 x -3629493786 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1829938215 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+18090561220\right)}{249562500 \left(5 x +3\right)^{\frac{3}{2}} \left(6 x^{2}+x -2\right)}"," ",0,"-1/249562500*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(3049897025*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-6049156310*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1829938215*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-3629493786*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-7277242500*x^5-42531439500*x^4+12906800250*x^3+105386556340*x^2+80492762390*x+18090561220)/(5*x+3)^(3/2)/(6*x^2+x-2)","C"
2936,1,224,139,0.024000," ","int((3*x+2)^(9/2)/(-2*x+1)^(3/2)/(5*x+3)^(5/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{-2 x +1}\, \left(-80858250 x^{4}+227397750 x^{3}+612137890 x^{2}-28423385 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+14541275 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+419093690 x -17054031 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+8724765 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+90683620\right)}{4991250 \left(5 x +3\right)^{\frac{3}{2}} \left(6 x^{2}+x -2\right)}"," ",0,"-1/4991250*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(14541275*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-28423385*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+8724765*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-17054031*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-80858250*x^4+227397750*x^3+612137890*x^2+419093690*x+90683620)/(5*x+3)^(3/2)/(6*x^2+x-2)","C"
2937,1,219,116,0.028000," ","int((3*x+2)^(7/2)/(-2*x+1)^(3/2)/(5*x+3)^(5/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{-2 x +1}\, \left(19497750 x^{3}+36172720 x^{2}-1188980 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+750575 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+22333370 x -713388 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+450345 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4589260\right)}{998250 \left(5 x +3\right)^{\frac{3}{2}} \left(6 x^{2}+x -2\right)}"," ",0,"-1/998250*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(750575*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1188980*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+450345*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-713388*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+19497750*x^3+36172720*x^2+22333370*x+4589260)/(5*x+3)^(3/2)/(6*x^2+x-2)","C"
2938,1,219,116,0.026000," ","int((3*x+2)^(5/2)/(-2*x+1)^(3/2)/(5*x+3)^(5/2),x)","\frac{\sqrt{3 x +2}\, \sqrt{-2 x +1}\, \left(-623550 x^{3}-1085090 x^{2}+20785 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-54775 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-622690 x +12471 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-32865 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-117620\right)}{99825 \left(5 x +3\right)^{\frac{3}{2}} \left(6 x^{2}+x -2\right)}"," ",0,"1/99825*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(20785*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-54775*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+12471*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-32865*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-623550*x^3-1085090*x^2-622690*x-117620)/(5*x+3)^(3/2)/(6*x^2+x-2)","C"
2939,1,219,116,0.027000," ","int((3*x+2)^(3/2)/(-2*x+1)^(3/2)/(5*x+3)^(5/2),x)","-\frac{\sqrt{3 x +2}\, \sqrt{-2 x +1}\, \left(74100 x^{3}+92120 x^{2}-2470 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+20125 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+26710 x -1482 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+12075 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1180\right)}{19965 \left(5 x +3\right)^{\frac{3}{2}} \left(6 x^{2}+x -2\right)}"," ",0,"-1/19965*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(20125*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2470*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+12075*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1482*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+74100*x^3+92120*x^2+26710*x-1180)/(5*x+3)^(3/2)/(6*x^2+x-2)","C"
2940,1,219,116,0.024000," ","int((3*x+2)^(1/2)/(-2*x+1)^(3/2)/(5*x+3)^(5/2),x)","-\frac{2 \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \left(7350 x^{3}+6955 x^{2}-245 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+905 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-406 x -147 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+543 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1184\right)}{3993 \left(5 x +3\right)^{\frac{3}{2}} \left(6 x^{2}+x -2\right)}"," ",0,"-2/3993*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(905*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-245*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+543*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-147*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+7350*x^3+6955*x^2-406*x-1184)/(5*x+3)^(3/2)/(6*x^2+x-2)","C"
2941,1,219,116,0.026000," ","int(1/(-2*x+1)^(3/2)/(5*x+3)^(5/2)/(3*x+2)^(1/2),x)","\frac{2 \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \left(292200 x^{3}+210490 x^{2}-9740 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2975 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-72613 x -5844 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1785 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-55382\right)}{27951 \left(5 x +3\right)^{\frac{3}{2}} \left(6 x^{2}+x -2\right)}"," ",0,"2/27951*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(2975*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-9740*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1785*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-5844*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+292200*x^3+210490*x^2-72613*x-55382)/(5*x+3)^(3/2)/(6*x^2+x-2)","C"
2942,1,219,139,0.028000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^(3/2)/(5*x+3)^(5/2),x)","\frac{2 \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \left(44649300 x^{3}+32744810 x^{2}-1488310 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+745150 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-10598372 x -892986 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+447090 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-8473261\right)}{195657 \left(5 x +3\right)^{\frac{3}{2}} \left(6 x^{2}+x -2\right)}"," ",0,"2/195657*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(745150*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1488310*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+447090*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-892986*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+44649300*x^3+32744810*x^2-10598372*x-8473261)/(5*x+3)^(3/2)/(6*x^2+x-2)","C"
2943,1,311,162,0.028000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^(5/2)/(5*x+3)^(5/2),x)","\frac{2 \sqrt{-2 x +1}\, \left(9590369400 x^{4}+13428808080 x^{3}-319678980 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+160984950 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2415287594 x^{2}-404926708 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+203914270 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-3336610202 x -127871592 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+64393980 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1213551469\right)}{1369599 \left(3 x +2\right)^{\frac{3}{2}} \left(5 x +3\right)^{\frac{3}{2}} \left(2 x -1\right)}"," ",0,"2/1369599*(-2*x+1)^(1/2)*(160984950*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-319678980*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+203914270*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-404926708*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+64393980*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-127871592*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+9590369400*x^4+13428808080*x^3+2415287594*x^2-3336610202*x-1213551469)/(3*x+2)^(3/2)/(5*x+3)^(3/2)/(2*x-1)","C"
2944,1,406,185,0.031000," ","int(1/(-2*x+1)^(3/2)/(3*x+2)^(7/2)/(5*x+3)^(5/2),x)","\frac{2 \sqrt{-2 x +1}\, \left(8148002063400 x^{5}+16841199826980 x^{4}-271600068780 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+136797815700 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+9658241620704 x^{3}-525093466308 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+264475777020 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1466692421066 x^{2}-337991196704 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+170237281760 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2920885694212 x -72426685008 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+36479417520 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-687365548973\right)}{47935965 \left(3 x +2\right)^{\frac{5}{2}} \left(5 x +3\right)^{\frac{3}{2}} \left(2 x -1\right)}"," ",0,"2/47935965*(-2*x+1)^(1/2)*(136797815700*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-271600068780*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+264475777020*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-525093466308*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+170237281760*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-337991196704*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+36479417520*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-72426685008*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+8148002063400*x^5+16841199826980*x^4+9658241620704*x^3-1466692421066*x^2-2920885694212*x-687365548973)/(3*x+2)^(5/2)/(5*x+3)^(3/2)/(2*x-1)","C"
2945,1,243,162,0.039000," ","int((3*x+2)^(9/2)*(5*x+3)^(1/2)/(-2*x+1)^(5/2),x)","\frac{\left(-200475000 x^{6}-1253637000 x^{5}-4252832100 x^{4}+10119455760 x^{3}+11455366730 x^{2}-900344824 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+453483310 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1121291250 x +450172412 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-226741655 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2147866740\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}}{1155000 \left(2 x -1\right)^{2} \left(15 x^{2}+19 x +6\right)}"," ",0,"1/1155000*(453483310*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-900344824*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-200475000*x^6-226741655*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+450172412*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1253637000*x^5-4252832100*x^4+10119455760*x^3+11455366730*x^2-1121291250*x-2147866740)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)/(2*x-1)^2/(15*x^2+19*x+6)","C"
2946,1,238,139,0.023000," ","int((3*x+2)^(7/2)*(5*x+3)^(1/2)/(-2*x+1)^(5/2),x)","\frac{\left(-1336500 x^{5}-8494200 x^{4}+32188470 x^{3}+34376560 x^{2}-2578178 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1298570 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2799750 x +1289089 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-649285 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-6105780\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}}{16500 \left(2 x -1\right)^{2} \left(15 x^{2}+19 x +6\right)}"," ",0,"1/16500*(1298570*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2578178*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-649285*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+1289089*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1336500*x^5-8494200*x^4+32188470*x^3+34376560*x^2-2799750*x-6105780)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)/(2*x-1)^2/(15*x^2+19*x+6)","C"
2947,1,233,116,0.022000," ","int((3*x+2)^(5/2)*(5*x+3)^(1/2)/(-2*x+1)^(5/2),x)","\frac{\left(-29700 x^{4}+271380 x^{3}+272870 x^{2}-18484 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+9310 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-11490 x +9242 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-4655 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-42660\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}}{660 \left(2 x -1\right)^{2} \left(15 x^{2}+19 x +6\right)}"," ",0,"1/660*(9310*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-18484*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-4655*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+9242*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-29700*x^4+271380*x^3+272870*x^2-11490*x-42660)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)/(2*x-1)^2/(15*x^2+19*x+6)","C"
2948,1,228,93,0.023000," ","int((3*x+2)^(3/2)*(5*x+3)^(1/2)/(-2*x+1)^(5/2),x)","\frac{\left(5010 x^{3}+4996 x^{2}-266 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+134 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+294 x +133 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-67 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-540\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}}{66 \left(2 x -1\right)^{2} \left(15 x^{2}+19 x +6\right)}"," ",0,"1/66*(134*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-266*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-67*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+133*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+5010*x^3+4996*x^2+294*x-540)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)/(2*x-1)^2/(15*x^2+19*x+6)","C"
2949,1,228,93,0.020000," ","int((3*x+2)^(1/2)*(5*x+3)^(1/2)/(-2*x+1)^(5/2),x)","\frac{\left(4080 x^{3}+5438 x^{2}-136 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+70 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1974 x +68 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-35 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+108\right) \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}}{462 \left(2 x -1\right)^{2} \left(15 x^{2}+19 x +6\right)}"," ",0,"1/462*(70*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-136*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-35*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+68*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+4080*x^3+5438*x^2+1974*x+108)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)/(2*x-1)^2/(15*x^2+19*x+6)","C"
2950,1,228,93,0.026000," ","int((5*x+3)^(1/2)/(-2*x+1)^(5/2)/(3*x+2)^(1/2),x)","\frac{\left(-1860 x^{3}+884 x^{2}+62 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+70 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3360 x -31 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-35 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1296\right) \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}}{1617 \left(2 x -1\right)^{2} \left(15 x^{2}+19 x +6\right)}"," ",0,"1/1617*(70*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+62*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-35*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-31*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1860*x^3+884*x^2+3360*x+1296)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)^2/(15*x^2+19*x+6)","C"
2951,1,228,116,0.026000," ","int((5*x+3)^(1/2)/(-2*x+1)^(5/2)/(3*x+2)^(3/2),x)","-\frac{\left(27480 x^{3}+2588 x^{2}-916 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+6790 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-13650 x +458 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-3395 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-3186\right) \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}}{11319 \left(15 x^{2}+19 x +6\right) \left(2 x -1\right)^{2}}"," ",0,"-1/11319*(6790*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-916*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-3395*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+458*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+27480*x^3+2588*x^2-13650*x-3186)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(15*x^2+19*x+6)/(2*x-1)^2","C"
2952,1,311,139,0.027000," ","int((5*x+3)^(1/2)/(-2*x+1)^(5/2)/(3*x+2)^(5/2),x)","-\frac{2 \left(-30420 x^{4}+88068 x^{3}+1014 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+48090 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+60157 x^{2}+169 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+8015 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-42006 x -338 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-16030 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-23895\right) \sqrt{-2 x +1}}{79233 \left(3 x +2\right)^{\frac{3}{2}} \left(2 x -1\right)^{2} \sqrt{5 x +3}}"," ",0,"-2/79233*(48090*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1014*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+8015*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+169*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-16030*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-338*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-30420*x^4+88068*x^3+60157*x^2-42006*x-23895)*(-2*x+1)^(1/2)/(3*x+2)^(3/2)/(2*x-1)^2/(5*x+3)^(1/2)","C"
2953,1,406,162,0.028000," ","int((5*x+3)^(1/2)/(-2*x+1)^(5/2)/(3*x+2)^(7/2),x)","-\frac{2 \sqrt{-2 x +1}\, \left(-51129360 x^{5}-44294796 x^{4}+1704312 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1712970 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+27496152 x^{3}+1420260 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1427475 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+25438331 x^{2}-378736 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-380660 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-4275312 x -378736 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-380660 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-4019031\right)}{2773155 \left(3 x +2\right)^{\frac{5}{2}} \left(2 x -1\right)^{2} \sqrt{5 x +3}}"," ",0,"-2/2773155*(-2*x+1)^(1/2)*(1712970*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1704312*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1427475*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1420260*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-380660*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-378736*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-380660*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-378736*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-51129360*x^5-44294796*x^4+27496152*x^3+25438331*x^2-4275312*x-4019031)/(3*x+2)^(5/2)/(2*x-1)^2/(5*x+3)^(1/2)","C"
2954,1,243,162,0.024000," ","int((3*x+2)^(7/2)*(5*x+3)^(3/2)/(-2*x+1)^(5/2),x)","\frac{\left(-6075000 x^{6}-37422000 x^{5}-125270100 x^{4}+292994460 x^{3}+332548330 x^{2}-26189404 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+13191010 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-32790750 x +13094702 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-6595505 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-62496540\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}}{21000 \left(2 x -1\right)^{2} \left(15 x^{2}+19 x +6\right)}"," ",0,"1/21000*(13191010*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-26189404*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-6075000*x^6-6595505*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+13094702*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-37422000*x^5-125270100*x^4+292994460*x^3+332548330*x^2-32790750*x-62496540)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)/(2*x-1)^2/(15*x^2+19*x+6)","C"
2955,1,238,139,0.024000," ","int((3*x+2)^(5/2)*(5*x+3)^(3/2)/(-2*x+1)^(5/2),x)","\frac{\left(-40500 x^{5}-252900 x^{4}+934290 x^{3}+1000370 x^{2}-75326 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+37940 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-83100 x +37663 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-18970 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-178560\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}}{300 \left(2 x -1\right)^{2} \left(15 x^{2}+19 x +6\right)}"," ",0,"1/300*(37940*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-75326*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-18970*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+37663*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-40500*x^5-252900*x^4+934290*x^3+1000370*x^2-83100*x-178560)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)/(2*x-1)^2/(15*x^2+19*x+6)","C"
2956,1,233,116,0.023000," ","int((3*x+2)^(3/2)*(5*x+3)^(3/2)/(-2*x+1)^(5/2),x)","\frac{\left(-900 x^{4}+7920 x^{3}+7966 x^{2}-544 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+274 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-366 x +272 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-137 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1260\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}}{12 \left(2 x -1\right)^{2} \left(15 x^{2}+19 x +6\right)}"," ",0,"1/12*(274*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-544*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-137*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+272*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-900*x^4+7920*x^3+7966*x^2-366*x-1260)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)/(2*x-1)^2/(15*x^2+19*x+6)","C"
2957,1,228,93,0.023000," ","int((5*x+3)^(3/2)*(3*x+2)^(1/2)/(-2*x+1)^(5/2),x)","\frac{\left(5190 x^{3}+5134 x^{2}-278 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+140 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+252 x +139 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-70 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-576\right) \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}}{42 \left(2 x -1\right)^{2} \left(15 x^{2}+19 x +6\right)}"," ",0,"1/42*(140*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-278*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-70*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+139*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+5190*x^3+5134*x^2+252*x-576)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)/(2*x-1)^2/(15*x^2+19*x+6)","C"
2958,1,228,93,0.024000," ","int((5*x+3)^(3/2)/(-2*x+1)^(5/2)/(3*x+2)^(1/2),x)","\frac{\left(4440 x^{3}+5714 x^{2}-148 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+70 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1890 x +74 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-35 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+36\right) \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}}{294 \left(2 x -1\right)^{2} \left(15 x^{2}+19 x +6\right)}"," ",0,"1/294*(70*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-148*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-35*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+74*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+4440*x^3+5714*x^2+1890*x+36)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)^2/(15*x^2+19*x+6)","C"
2959,1,228,116,0.028000," ","int((5*x+3)^(3/2)/(-2*x+1)^(5/2)/(3*x+2)^(3/2),x)","\frac{\left(-1140 x^{3}+1016 x^{2}+38 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+280 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3150 x -19 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-140 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1278\right) \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}}{1029 \left(15 x^{2}+19 x +6\right) \left(2 x -1\right)^{2}}"," ",0,"1/1029*(280*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+38*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-140*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-19*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1140*x^3+1016*x^2+3150*x+1278)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(15*x^2+19*x+6)/(2*x-1)^2","C"
2960,1,311,139,0.027000," ","int((5*x+3)^(3/2)/(-2*x+1)^(5/2)/(3*x+2)^(5/2),x)","-\frac{\left(89280 x^{4}+61188 x^{3}-2976 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+18690 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-41588 x^{2}-496 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3115 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-36546 x +992 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-6230 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-5310\right) \sqrt{-2 x +1}}{7203 \left(3 x +2\right)^{\frac{3}{2}} \left(2 x -1\right)^{2} \sqrt{5 x +3}}"," ",0,"-1/7203*(18690*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2976*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+3115*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-496*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-6230*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+992*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+89280*x^4+61188*x^3-41588*x^2-36546*x-5310)*(-2*x+1)^(1/2)/(3*x+2)^(3/2)/(2*x-1)^2/(5*x+3)^(1/2)","C"
2961,1,406,162,0.029000," ","int((5*x+3)^(3/2)/(-2*x+1)^(5/2)/(3*x+2)^(7/2),x)","-\frac{2 \sqrt{-2 x +1}\, \left(1065420 x^{5}+2420712 x^{4}-35514 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+713160 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1057881 x^{3}-29595 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+594300 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-801107 x^{2}+7892 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-158480 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-696111 x +7892 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-158480 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-131643\right)}{252105 \left(3 x +2\right)^{\frac{5}{2}} \left(2 x -1\right)^{2} \sqrt{5 x +3}}"," ",0,"-2/252105*(-2*x+1)^(1/2)*(713160*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-35514*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+594300*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-29595*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-158480*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+7892*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-158480*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+7892*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+1065420*x^5+2420712*x^4+1057881*x^3-801107*x^2-696111*x-131643)/(3*x+2)^(5/2)/(2*x-1)^2/(5*x+3)^(1/2)","C"
2962,1,253,185,0.025000," ","int((3*x+2)^(7/2)*(5*x+3)^(5/2)/(-2*x+1)^(5/2),x)","\frac{\left(-42525000 x^{7}-272970000 x^{6}-870250500 x^{5}-2069287200 x^{4}+3651350730 x^{3}+4336405140 x^{2}-349309582 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+175939330 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-458597550 x +174654791 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-87969665 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-835518420\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}}{37800 \left(30 x^{3}+23 x^{2}-7 x -6\right) \left(2 x -1\right)}"," ",0,"1/37800*(-42525000*x^7+175939330*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-349309582*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-272970000*x^6-87969665*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+174654791*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-870250500*x^5-2069287200*x^4+3651350730*x^3+4336405140*x^2-458597550*x-835518420)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)/(30*x^3+23*x^2-7*x-6)/(2*x-1)","C"
2963,1,243,162,0.023000," ","int((3*x+2)^(5/2)*(5*x+3)^(5/2)/(-2*x+1)^(5/2),x)","\frac{\left(-405000 x^{6}-2457000 x^{5}-8115300 x^{4}+18660960 x^{3}+21236210 x^{2}-1675656 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+843990 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2108490 x +837828 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-421995 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-3999780\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}}{840 \left(2 x -1\right)^{2} \left(15 x^{2}+19 x +6\right)}"," ",0,"1/840*(843990*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1675656*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-405000*x^6-421995*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+837828*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2457000*x^5-8115300*x^4+18660960*x^3+21236210*x^2-2108490*x-3999780)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)/(2*x-1)^2/(15*x^2+19*x+6)","C"
2964,1,238,139,0.025000," ","int((3*x+2)^(3/2)*(5*x+3)^(5/2)/(-2*x+1)^(5/2),x)","\frac{\left(-13500 x^{5}-82800 x^{4}+298230 x^{3}+320180 x^{2}-24202 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+12190 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-27090 x +12101 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-6095 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-57420\right) \sqrt{-2 x +1}\, \sqrt{5 x +3}\, \sqrt{3 x +2}}{60 \left(2 x -1\right)^{2} \left(15 x^{2}+19 x +6\right)}"," ",0,"1/60*(12190*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-24202*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-6095*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+12101*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-13500*x^5-82800*x^4+298230*x^3+320180*x^2-27090*x-57420)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)/(2*x-1)^2/(15*x^2+19*x+6)","C"
2965,1,233,116,0.023000," ","int((5*x+3)^(5/2)*(3*x+2)^(1/2)/(-2*x+1)^(5/2),x)","\frac{\left(-31500 x^{4}+266820 x^{3}+268542 x^{2}-18484 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+9310 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-13314 x +9242 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-4655 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-42948\right) \sqrt{-2 x +1}\, \sqrt{3 x +2}\, \sqrt{5 x +3}}{252 \left(2 x -1\right)^{2} \left(15 x^{2}+19 x +6\right)}"," ",0,"1/252*(9310*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-18484*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-4655*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+9242*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-31500*x^4+266820*x^3+268542*x^2-13314*x-42948)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)*(5*x+3)^(1/2)/(2*x-1)^2/(15*x^2+19*x+6)","C"
2966,1,228,93,0.025000," ","int((5*x+3)^(5/2)/(-2*x+1)^(5/2)/(3*x+2)^(1/2),x)","\frac{\left(59070 x^{3}+57992 x^{2}-3194 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1610 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2310 x +1597 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-805 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-6732\right) \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}}{294 \left(2 x -1\right)^{2} \left(15 x^{2}+19 x +6\right)}"," ",0,"1/294*(1610*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-3194*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-805*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+1597*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+59070*x^3+57992*x^2+2310*x-6732)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(2*x-1)^2/(15*x^2+19*x+6)","C"
2967,1,228,116,0.029000," ","int((5*x+3)^(5/2)/(-2*x+1)^(5/2)/(3*x+2)^(3/2),x)","\frac{\left(52560 x^{3}+65986 x^{2}-1752 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+630 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+19950 x +876 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-315 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-432\right) \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \sqrt{5 x +3}}{2058 \left(15 x^{2}+19 x +6\right) \left(2 x -1\right)^{2}}"," ",0,"1/2058*(630*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1752*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-315*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+876*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+52560*x^3+65986*x^2+19950*x-432)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*(5*x+3)^(1/2)/(15*x^2+19*x+6)/(2*x-1)^2","C"
2968,1,311,139,0.028000," ","int((5*x+3)^(5/2)/(-2*x+1)^(5/2)/(3*x+2)^(5/2),x)","\frac{\left(-30420 x^{4}+88068 x^{3}+1014 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+48090 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+360282 x^{2}+169 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+8015 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+318144 x -338 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-16030 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+84150\right) \sqrt{-2 x +1}}{21609 \left(3 x +2\right)^{\frac{3}{2}} \left(2 x -1\right)^{2} \sqrt{5 x +3}}"," ",0,"1/21609*(48090*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1014*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+8015*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+169*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-16030*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-338*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-30420*x^4+88068*x^3+360282*x^2+318144*x+84150)*(-2*x+1)^(1/2)/(3*x+2)^(3/2)/(2*x-1)^2/(5*x+3)^(1/2)","C"
2969,1,406,162,0.030000," ","int((5*x+3)^(5/2)/(-2*x+1)^(5/2)/(3*x+2)^(7/2),x)","\frac{\sqrt{-2 x +1}\, \left(-14913720 x^{5}-19510092 x^{4}+497124 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2795310 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+844554 x^{3}+414270 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2329425 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+10713412 x^{2}-110472 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+621180 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4728876 x -110472 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+621180 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+531738\right)}{252105 \left(3 x +2\right)^{\frac{5}{2}} \left(2 x -1\right)^{2} \sqrt{5 x +3}}"," ",0,"1/252105*(-2*x+1)^(1/2)*(497124*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2795310*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+414270*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2329425*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-110472*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+621180*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-110472*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+621180*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-14913720*x^5-19510092*x^4+844554*x^3+10713412*x^2+4728876*x+531738)/(3*x+2)^(5/2)/(2*x-1)^2/(5*x+3)^(1/2)","C"
2970,1,501,185,0.028000," ","int((5*x+3)^(5/2)/(-2*x+1)^(5/2)/(3*x+2)^(9/2),x)","\frac{2 \sqrt{-2 x +1}\, \left(-79900020 x^{6}-191680452 x^{5}+2663334 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-31920210 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-124652259 x^{4}+3995001 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-47880315 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+30689868 x^{3}+887778 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-10640070 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+64864744 x^{2}-986420 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+11822300 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+23904792 x -394568 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4728920 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2598255\right)}{2470629 \left(3 x +2\right)^{\frac{7}{2}} \left(2 x -1\right)^{2} \sqrt{5 x +3}}"," ",0,"2/2470629*(-2*x+1)^(1/2)*(2663334*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-31920210*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+3995001*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-47880315*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+887778*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-10640070*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-986420*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+11822300*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-79900020*x^6-394568*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+4728920*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-191680452*x^5-124652259*x^4+30689868*x^3+64864744*x^2+23904792*x+2598255)/(3*x+2)^(7/2)/(2*x-1)^2/(5*x+3)^(1/2)","C"
2971,1,238,139,0.025000," ","int((3*x+2)^(9/2)/(-2*x+1)^(5/2)/(5*x+3)^(1/2),x)","\frac{\left(-44104500 x^{5}-285209100 x^{4}+1108687710 x^{3}+1181150330 x^{2}-88218754 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+44433760 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-94170000 x +44109377 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-22216880 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-208706040\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}}{907500 \left(2 x -1\right)^{2} \left(15 x^{2}+19 x +6\right)}"," ",0,"1/907500*(44433760*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-88218754*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-22216880*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+44109377*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-44104500*x^5-285209100*x^4+1108687710*x^3+1181150330*x^2-94170000*x-208706040)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)/(2*x-1)^2/(15*x^2+19*x+6)","C"
2972,1,233,116,0.023000," ","int((3*x+2)^(7/2)/(-2*x+1)^(5/2)/(5*x+3)^(1/2),x)","\frac{\left(-980100 x^{4}+9293640 x^{3}+9344770 x^{2}-627776 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+316190 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-355650 x +313888 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-158095 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1443060\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}}{36300 \left(2 x -1\right)^{2} \left(15 x^{2}+19 x +6\right)}"," ",0,"1/36300*(316190*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-627776*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-158095*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+313888*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-980100*x^4+9293640*x^3+9344770*x^2-355650*x-1443060)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)/(2*x-1)^2/(15*x^2+19*x+6)","C"
2973,1,228,93,0.025000," ","int((3*x+2)^(5/2)/(-2*x+1)^(5/2)/(5*x+3)^(1/2),x)","\frac{\left(169050 x^{3}+170030 x^{2}-8902 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4480 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+11760 x +4451 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2240 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-17640\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}}{3630 \left(2 x -1\right)^{2} \left(15 x^{2}+19 x +6\right)}"," ",0,"1/3630*(4480*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-8902*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2240*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+4451*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+169050*x^3+170030*x^2+11760*x-17640)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)/(2*x-1)^2/(15*x^2+19*x+6)","C"
2974,1,228,93,0.023000," ","int((3*x+2)^(3/2)/(-2*x+1)^(5/2)/(5*x+3)^(1/2),x)","\frac{\left(3720 x^{3}+5162 x^{2}-124 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+58 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2058 x +62 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-29 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+180\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}}{726 \left(2 x -1\right)^{2} \left(15 x^{2}+19 x +6\right)}"," ",0,"1/726*(58*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-124*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-29*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+62*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+3720*x^3+5162*x^2+2058*x+180)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)/(2*x-1)^2/(15*x^2+19*x+6)","C"
2975,1,228,93,0.023000," ","int((3*x+2)^(1/2)/(-2*x+1)^(5/2)/(5*x+3)^(1/2),x)","-\frac{\left(2220 x^{3}-608 x^{2}-74 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+140 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-3444 x +37 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-70 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1368\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}}{2541 \left(2 x -1\right)^{2} \left(15 x^{2}+19 x +6\right)}"," ",0,"-1/2541*(140*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-74*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-70*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+37*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+2220*x^3-608*x^2-3444*x-1368)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)/(2*x-1)^2/(15*x^2+19*x+6)","C"
2976,1,228,93,0.025000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)^(1/2)/(5*x+3)^(1/2),x)","-\frac{\left(16320 x^{3}+7892 x^{2}-544 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+7210 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-9660 x +272 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-3605 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-5112\right) \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}}{17787 \left(2 x -1\right)^{2} \left(15 x^{2}+19 x +6\right)}"," ",0,"-1/17787*(7210*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-544*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-3605*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+272*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+16320*x^3+7892*x^2-9660*x-5112)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)/(2*x-1)^2/(15*x^2+19*x+6)","C"
2977,1,228,116,0.028000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)^(3/2)/(5*x+3)^(1/2),x)","-\frac{2 \left(-167820 x^{3}+95408 x^{2}+5594 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+14140 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+56175 x -2797 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-7070 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-36891\right) \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}}{124509 \left(15 x^{2}+19 x +6\right) \left(2 x -1\right)^{2}}"," ",0,"-2/124509*(14140*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+5594*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-7070*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-2797*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-167820*x^3+95408*x^2+56175*x-36891)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)/(15*x^2+19*x+6)/(2*x-1)^2","C"
2978,1,311,139,0.031000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)^(5/2)/(5*x+3)^(1/2),x)","\frac{2 \left(16617240 x^{4}+4635804 x^{3}-553908 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+102270 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-10591754 x^{2}-92318 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+17045 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1444893 x +184636 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-34090 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1793835\right) \sqrt{-2 x +1}}{871563 \left(3 x +2\right)^{\frac{3}{2}} \left(2 x -1\right)^{2} \sqrt{5 x +3}}"," ",0,"2/871563*(102270*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-553908*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+17045*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-92318*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-34090*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+184636*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+16617240*x^4+4635804*x^3-10591754*x^2-1444893*x+1793835)*(-2*x+1)^(1/2)/(3*x+2)^(3/2)/(2*x-1)^2/(5*x+3)^(1/2)","C"
2979,1,406,162,0.030000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)^(7/2)/(5*x+3)^(1/2),x)","-\frac{2 \sqrt{-2 x +1}\, \left(-7036782120 x^{5}-6788102832 x^{4}+234559404 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-110219760 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3030766434 x^{3}+195466170 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-91849800 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3626217802 x^{2}-52124312 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+24493280 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-294965529 x -52124312 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+24493280 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-495214227\right)}{30504705 \left(3 x +2\right)^{\frac{5}{2}} \left(2 x -1\right)^{2} \sqrt{5 x +3}}"," ",0,"-2/30504705*(-2*x+1)^(1/2)*(234559404*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-110219760*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+195466170*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-91849800*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-52124312*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+24493280*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-52124312*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+24493280*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-7036782120*x^5-6788102832*x^4+3030766434*x^3+3626217802*x^2-294965529*x-495214227)/(3*x+2)^(5/2)/(2*x-1)^2/(5*x+3)^(1/2)","C"
2980,1,238,162,0.033000," ","int((3*x+2)^(11/2)/(-2*x+1)^(5/2)/(5*x+3)^(3/2),x)","-\frac{\left(1455448500 x^{5}+9573616800 x^{4}-38177100330 x^{3}-40577670340 x^{2}+3017778542 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1519975730 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3161658750 x -1508889271 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+759987865 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+7131138420\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}}{49912500 \left(15 x^{2}+19 x +6\right) \left(2 x -1\right)^{2}}"," ",0,"-1/49912500*(3017778542*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1519975730*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-1508889271*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+759987865*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+1455448500*x^5+9573616800*x^4-38177100330*x^3-40577670340*x^2+3161658750*x+7131138420)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)/(15*x^2+19*x+6)/(2*x-1)^2","C"
2981,1,233,139,0.029000," ","int((3*x+2)^(9/2)/(-2*x+1)^(5/2)/(5*x+3)^(3/2),x)","\frac{\left(-32343300 x^{4}+318081180 x^{3}+319941890 x^{2}-21311932 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+10732330 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-10809750 x +10655966 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-5366165 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-48767820\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}}{1996500 \left(15 x^{2}+19 x +6\right) \left(2 x -1\right)^{2}}"," ",0,"1/1996500*(10732330*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-21311932*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-5366165*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+10655966*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-32343300*x^4+318081180*x^3+319941890*x^2-10809750*x-48767820)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)/(15*x^2+19*x+6)/(2*x-1)^2","C"
2982,1,228,116,0.028000," ","int((3*x+2)^(7/2)/(-2*x+1)^(5/2)/(5*x+3)^(3/2),x)","\frac{\left(5695530 x^{3}+5782240 x^{2}-297662 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+149030 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+463350 x +148831 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-74515 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-573420\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}}{199650 \left(15 x^{2}+19 x +6\right) \left(2 x -1\right)^{2}}"," ",0,"1/199650*(149030*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-297662*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-74515*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+148831*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+5695530*x^3+5782240*x^2+463350*x-573420)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)/(15*x^2+19*x+6)/(2*x-1)^2","C"
2983,1,228,116,0.029000," ","int((3*x+2)^(5/2)/(-2*x+1)^(5/2)/(5*x+3)^(3/2),x)","\frac{\left(116880 x^{3}+171250 x^{2}-3896 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1190 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+75270 x +1948 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-595 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+8700\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}}{39930 \left(15 x^{2}+19 x +6\right) \left(2 x -1\right)^{2}}"," ",0,"1/39930*(1190*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-3896*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-595*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+1948*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+116880*x^3+171250*x^2+75270*x+8700)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)/(15*x^2+19*x+6)/(2*x-1)^2","C"
2984,1,228,116,0.028000," ","int((3*x+2)^(3/2)/(-2*x+1)^(5/2)/(5*x+3)^(3/2),x)","-\frac{\left(2940 x^{3}-452 x^{2}-98 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+362 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-3678 x +49 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-181 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1380\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}}{3993 \left(15 x^{2}+19 x +6\right) \left(2 x -1\right)^{2}}"," ",0,"-1/3993*(362*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-98*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-181*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+49*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+2940*x^3-452*x^2-3678*x-1380)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)/(15*x^2+19*x+6)/(2*x-1)^2","C"
2985,1,228,116,0.027000," ","int((3*x+2)^(1/2)/(-2*x+1)^(5/2)/(5*x+3)^(3/2),x)","-\frac{\left(29640 x^{3}+4244 x^{2}-988 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+8050 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-15078 x +494 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-4025 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-3156\right) \sqrt{5 x +3}\, \sqrt{-2 x +1}\, \sqrt{3 x +2}}{27951 \left(15 x^{2}+19 x +6\right) \left(2 x -1\right)^{2}}"," ",0,"-1/27951*(8050*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-988*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-4025*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+494*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+29640*x^3+4244*x^2-15078*x-3156)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)*(3*x+2)^(1/2)/(15*x^2+19*x+6)/(2*x-1)^2","C"
2986,1,228,116,0.029000," ","int(1/(-2*x+1)^(5/2)/(5*x+3)^(3/2)/(3*x+2)^(1/2),x)","-\frac{2 \left(249420 x^{3}-55948 x^{2}-8314 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+21910 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-104475 x +4157 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-10955 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+29118\right) \sqrt{3 x +2}\, \sqrt{5 x +3}\, \sqrt{-2 x +1}}{195657 \left(15 x^{2}+19 x +6\right) \left(2 x -1\right)^{2}}"," ",0,"-2/195657*(21910*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-8314*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-10955*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+4157*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+249420*x^3-55948*x^2-104475*x+29118)*(3*x+2)^(1/2)*(5*x+3)^(1/2)*(-2*x+1)^(1/2)/(15*x^2+19*x+6)/(2*x-1)^2","C"
2987,1,228,139,0.030000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)^(3/2)/(5*x+3)^(3/2),x)","-\frac{2 \left(14267760 x^{3}-5106644 x^{2}-475592 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+300230 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-5510400 x +237796 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-150115 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2236533\right) \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}}{1369599 \left(15 x^{2}+19 x +6\right) \left(2 x -1\right)^{2}}"," ",0,"-2/1369599*(300230*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-475592*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-150115*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+237796*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+14267760*x^3-5106644*x^2-5510400*x+2236533)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)/(15*x^2+19*x+6)/(2*x-1)^2","C"
2988,1,311,162,0.031000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)^(5/2)/(5*x+3)^(3/2),x)","-\frac{2 \sqrt{-2 x +1}\, \left(2046483720 x^{4}+615527112 x^{3}-68216124 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+34899060 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1285584962 x^{2}-11369354 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+5816510 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-198573504 x +22738708 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-11633020 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+215753865\right)}{9587193 \left(3 x +2\right)^{\frac{3}{2}} \left(2 x -1\right)^{2} \sqrt{5 x +3}}"," ",0,"-2/9587193*(-2*x+1)^(1/2)*(34899060*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-68216124*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+5816510*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-11369354*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-11633020*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+22738708*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+2046483720*x^4+615527112*x^3-1285584962*x^2-198573504*x+215753865)/(3*x+2)^(3/2)/(2*x-1)^2/(5*x+3)^(1/2)","C"
2989,1,406,185,0.033000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)^(7/2)/(5*x+3)^(3/2),x)","\frac{2 \sqrt{-2 x +1}\, \left(-1306617762960 x^{5}-1263428429256 x^{4}+43553925432 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-21959258580 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+559512908172 x^{3}+36294937860 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-18299382150 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+673871013766 x^{2}-9678650096 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4879835240 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-53503915182 x -9678650096 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4879835240 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-91855922241\right)}{335551755 \left(3 x +2\right)^{\frac{5}{2}} \left(2 x -1\right)^{2} \sqrt{5 x +3}}"," ",0,"2/335551755*(-2*x+1)^(1/2)*(43553925432*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-21959258580*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+36294937860*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-18299382150*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-9678650096*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+4879835240*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-9678650096*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+4879835240*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1306617762960*x^5-1263428429256*x^4+559512908172*x^3+673871013766*x^2-53503915182*x-91855922241)/(3*x+2)^(5/2)/(2*x-1)^2/(5*x+3)^(1/2)","C"
2990,1,321,185,0.033000," ","int((3*x+2)^(13/2)/(-2*x+1)^(5/2)/(5*x+3)^(5/2),x)","\frac{\left(-240149002500 x^{6}-1750419396000 x^{5}+5607417753750 x^{4}+10911821531720 x^{3}-516012932230 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+259895958700 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+3651766136010 x^{2}-51601293223 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+25989595870 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1535611752300 x +154803879669 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-77968787610 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-730678972880\right) \sqrt{-2 x +1}}{2745187500 \left(5 x +3\right)^{\frac{3}{2}} \left(2 x -1\right)^{2} \sqrt{3 x +2}}"," ",0,"1/2745187500*(259895958700*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-516012932230*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+25989595870*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-51601293223*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-240149002500*x^6-77968787610*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+154803879669*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-1750419396000*x^5+5607417753750*x^4+10911821531720*x^3+3651766136010*x^2-1535611752300*x-730678972880)*(-2*x+1)^(1/2)/(5*x+3)^(3/2)/(2*x-1)^2/(3*x+2)^(1/2)","C"
2991,1,316,162,0.028000," ","int((3*x+2)^(11/2)/(-2*x+1)^(5/2)/(5*x+3)^(5/2),x)","\frac{\left(-5336644500 x^{5}+51196852500 x^{4}+87394598590 x^{3}-3615894560 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1819992650 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+31250093220 x^{2}-361589456 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+181999265 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-9193939350 x +1084768368 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-545997795 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-4939253860\right) \sqrt{-2 x +1}}{109807500 \left(5 x +3\right)^{\frac{3}{2}} \left(2 x -1\right)^{2} \sqrt{3 x +2}}"," ",0,"1/109807500*(1819992650*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-3615894560*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+181999265*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-361589456*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-545997795*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+1084768368*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-5336644500*x^5+51196852500*x^4+87394598590*x^3+31250093220*x^2-9193939350*x-4939253860)*(-2*x+1)^(1/2)/(5*x+3)^(3/2)/(2*x-1)^2/(3*x+2)^(1/2)","C"
2992,1,311,139,0.029000," ","int((3*x+2)^(9/2)/(-2*x+1)^(5/2)/(5*x+3)^(5/2),x)","\frac{\left(957722250 x^{4}+1557074960 x^{3}-49712890 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+24579100 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+679727430 x^{2}-4971289 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2457910 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-38541900 x +14913867 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-7373730 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-55619840\right) \sqrt{-2 x +1}}{10980750 \left(5 x +3\right)^{\frac{3}{2}} \left(2 x -1\right)^{2} \sqrt{3 x +2}}"," ",0,"1/10980750*(24579100*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-49712890*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+2457910*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-4971289*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-7373730*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+14913867*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+957722250*x^4+1557074960*x^3+679727430*x^2-38541900*x-55619840)*(-2*x+1)^(1/2)/(5*x+3)^(3/2)/(2*x-1)^2/(3*x+2)^(1/2)","C"
2993,1,311,139,0.028000," ","int((3*x+2)^(7/2)/(-2*x+1)^(5/2)/(5*x+3)^(5/2),x)","-\frac{\left(-17959800 x^{4}-39147890 x^{3}+598660 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+10850 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-30832920 x^{2}+59866 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1085 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-10200750 x -179598 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-3255 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1148740\right) \sqrt{-2 x +1}}{2196150 \left(5 x +3\right)^{\frac{3}{2}} \left(2 x -1\right)^{2} \sqrt{3 x +2}}"," ",0,"-1/2196150*(598660*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+10850*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+59866*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1085*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-179598*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-3255*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-17959800*x^4-39147890*x^3-30832920*x^2-10200750*x-1148740)*(-2*x+1)^(1/2)/(5*x+3)^(3/2)/(2*x-1)^2/(3*x+2)^(1/2)","C"
2994,1,311,139,0.029000," ","int((3*x+2)^(5/2)/(-2*x+1)^(5/2)/(5*x+3)^(5/2),x)","\frac{\left(-662700 x^{4}-339740 x^{3}+22090 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-103600 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+729810 x^{2}+2209 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-10360 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+656760 x -6627 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+31080 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+143720\right) \sqrt{-2 x +1}}{219615 \left(5 x +3\right)^{\frac{3}{2}} \left(2 x -1\right)^{2} \sqrt{3 x +2}}"," ",0,"1/219615*(22090*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-103600*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+2209*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-10360*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-6627*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+31080*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-662700*x^4-339740*x^3+729810*x^2+656760*x+143720)*(-2*x+1)^(1/2)/(5*x+3)^(3/2)/(2*x-1)^2/(3*x+2)^(1/2)","C"
2995,1,311,139,0.027000," ","int((3*x+2)^(3/2)/(-2*x+1)^(5/2)/(5*x+3)^(5/2),x)","-\frac{\left(177600 x^{4}+123260 x^{3}-5920 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+43870 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-78192 x^{2}-592 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4387 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-64938 x +1776 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-13161 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-7100\right) \sqrt{-2 x +1}}{43923 \left(5 x +3\right)^{\frac{3}{2}} \left(2 x -1\right)^{2} \sqrt{3 x +2}}"," ",0,"-1/43923*(43870*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-5920*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+4387*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-592*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-13161*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+1776*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+177600*x^4+123260*x^3-78192*x^2-64938*x-7100)*(-2*x+1)^(1/2)/(5*x+3)^(3/2)/(2*x-1)^2/(3*x+2)^(1/2)","C"
2996,1,311,139,0.029000," ","int((3*x+2)^(1/2)/(-2*x+1)^(5/2)/(5*x+3)^(5/2),x)","\frac{2 \left(-662700 x^{4}-339740 x^{3}+22090 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-103600 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+334503 x^{2}+2209 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-10360 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+129684 x -6627 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+31080 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-31972\right) \sqrt{-2 x +1}}{307461 \left(5 x +3\right)^{\frac{3}{2}} \left(2 x -1\right)^{2} \sqrt{3 x +2}}"," ",0,"2/307461*(22090*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-103600*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+2209*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-10360*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-6627*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+31080*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-662700*x^4-339740*x^3+334503*x^2+129684*x-31972)*(-2*x+1)^(1/2)/(5*x+3)^(3/2)/(2*x-1)^2/(3*x+2)^(1/2)","C"
2997,1,311,139,0.033000," ","int(1/(-2*x+1)^(5/2)/(5*x+3)^(5/2)/(3*x+2)^(1/2),x)","-\frac{2 \left(-17959800 x^{4}-3570260 x^{3}+598660 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+10850 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+11069622 x^{2}+59866 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+1085 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+999615 x -179598 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-3255 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1763662\right) \sqrt{-2 x +1}}{2152227 \left(5 x +3\right)^{\frac{3}{2}} \left(2 x -1\right)^{2} \sqrt{3 x +2}}"," ",0,"-2/2152227*(10850*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+598660*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+1085*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+59866*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-3255*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-179598*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))-17959800*x^4-3570260*x^3+11069622*x^2+999615*x-1763662)*(-2*x+1)^(1/2)/(5*x+3)^(3/2)/(2*x-1)^2/(3*x+2)^(1/2)","C"
2998,1,311,162,0.032000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)^(3/2)/(5*x+3)^(5/2),x)","\frac{2 \sqrt{-2 x +1}\, \left(2982773400 x^{4}+694871080 x^{3}-99425780 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+49158200 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1802210526 x^{2}-9942578 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+4915820 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-211488180 x +29827734 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-14747460 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+283144937\right)}{15065589 \left(5 x +3\right)^{\frac{3}{2}} \left(2 x -1\right)^{2} \sqrt{3 x +2}}"," ",0,"2/15065589*(-2*x+1)^(1/2)*(49158200*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-99425780*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+4915820*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-9942578*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-14747460*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+29827734*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+2982773400*x^4+694871080*x^3-1802210526*x^2-211488180*x+283144937)/(5*x+3)^(3/2)/(2*x-1)^2/(3*x+2)^(1/2)","C"
2999,1,406,185,0.033000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)^(5/2)/(5*x+3)^(5/2),x)","\frac{2 \sqrt{-2 x +1}\, \left(650861020800 x^{5}+585919463160 x^{4}-21695367360 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+10919955900 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-291775464272 x^{3}-16633114976 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+8371966190 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-308398535118 x^{2}+5062252384 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2547989710 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+30866656614 x +4339073472 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-2183991180 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+41179778225\right)}{105459123 \left(3 x +2\right)^{\frac{3}{2}} \left(5 x +3\right)^{\frac{3}{2}} \left(2 x -1\right)^{2}}"," ",0,"2/105459123*(-2*x+1)^(1/2)*(10919955900*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-21695367360*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+8371966190*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-16633114976*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2547989710*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+5062252384*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-2183991180*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+4339073472*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+650861020800*x^5+585919463160*x^4-291775464272*x^3-308398535118*x^2+30866656614*x+41179778225)/(3*x+2)^(3/2)/(5*x+3)^(3/2)/(2*x-1)^2","C"
3000,1,501,208,0.031000," ","int(1/(-2*x+1)^(5/2)/(3*x+2)^(7/2)/(5*x+3)^(5/2),x)","\frac{2 \sqrt{-2 x +1}\, \left(557293966808400 x^{6}+873229924799280 x^{5}-18576465560280 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+9356254513200 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{4} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+84649478011164 x^{4}-26626267303068 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+13410631468920 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{3} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-430611138612568 x^{3}-5160129322300 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+2598959587000 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x^{2} \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-149619576926754 x^{2}+6604965532544 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-3326668271360 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, x \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+52875828155808 x +2476862074704 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticE \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)-1247500601760 \sqrt{2}\, \sqrt{5 x +3}\, \sqrt{3 x +2}\, \sqrt{-2 x +1}\, \EllipticF \left(\frac{\sqrt{110 x +66}}{11}, \frac{i \sqrt{66}}{2}\right)+23506658680609\right)}{3691069305 \left(3 x +2\right)^{\frac{5}{2}} \left(5 x +3\right)^{\frac{3}{2}} \left(2 x -1\right)^{2}}"," ",0,"2/3691069305*(-2*x+1)^(1/2)*(9356254513200*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-18576465560280*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^4*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+13410631468920*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-26626267303068*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^3*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+2598959587000*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-5160129322300*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x^2*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)-3326668271360*2^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+6604965532544*2^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))*x*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)+557293966808400*x^6-1247500601760*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticF(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+2476862074704*2^(1/2)*(5*x+3)^(1/2)*(3*x+2)^(1/2)*(-2*x+1)^(1/2)*EllipticE(1/11*(110*x+66)^(1/2),1/2*I*66^(1/2))+873229924799280*x^5+84649478011164*x^4-430611138612568*x^3-149619576926754*x^2+52875828155808*x+23506658680609)/(3*x+2)^(5/2)/(5*x+3)^(3/2)/(2*x-1)^2","C"
3001,0,0,509,0.060000," ","int((b*x+a)^(1/3)*(d*x+c)^(2/3)*(f*x+e)^2,x)","\int \left(b x +a \right)^{\frac{1}{3}} \left(d x +c \right)^{\frac{2}{3}} \left(f x +e \right)^{2}\, dx"," ",0,"int((b*x+a)^(1/3)*(d*x+c)^(2/3)*(f*x+e)^2,x)","F"
3002,0,0,275,0.043000," ","int((b*x+a)^(1/3)*(d*x+c)^(2/3)*(f*x+e),x)","\int \left(b x +a \right)^{\frac{1}{3}} \left(d x +c \right)^{\frac{2}{3}} \left(f x +e \right)\, dx"," ",0,"int((b*x+a)^(1/3)*(d*x+c)^(2/3)*(f*x+e),x)","F"
3003,0,0,169,0.038000," ","int((b*x+a)^(1/3)*(d*x+c)^(2/3),x)","\int \left(b x +a \right)^{\frac{1}{3}} \left(d x +c \right)^{\frac{2}{3}}\, dx"," ",0,"int((b*x+a)^(1/3)*(d*x+c)^(2/3),x)","F"
3004,0,0,334,0.240000," ","int((b*x+a)^(1/3)*(d*x+c)^(2/3)/(f*x+e),x)","\int \frac{\left(b x +a \right)^{\frac{1}{3}} \left(d x +c \right)^{\frac{2}{3}}}{f x +e}\, dx"," ",0,"int((b*x+a)^(1/3)*(d*x+c)^(2/3)/(f*x+e),x)","F"
3005,0,0,342,0.241000," ","int((b*x+a)^(1/3)*(d*x+c)^(2/3)/(f*x+e)^2,x)","\int \frac{\left(b x +a \right)^{\frac{1}{3}} \left(d x +c \right)^{\frac{2}{3}}}{\left(f x +e \right)^{2}}\, dx"," ",0,"int((b*x+a)^(1/3)*(d*x+c)^(2/3)/(f*x+e)^2,x)","F"
3006,0,0,275,0.229000," ","int((b*x+a)^(1/3)*(d*x+c)^(2/3)/(f*x+e)^3,x)","\int \frac{\left(b x +a \right)^{\frac{1}{3}} \left(d x +c \right)^{\frac{2}{3}}}{\left(f x +e \right)^{3}}\, dx"," ",0,"int((b*x+a)^(1/3)*(d*x+c)^(2/3)/(f*x+e)^3,x)","F"
3007,0,0,409,0.236000," ","int((b*x+a)^(1/3)*(d*x+c)^(2/3)/(f*x+e)^4,x)","\int \frac{\left(b x +a \right)^{\frac{1}{3}} \left(d x +c \right)^{\frac{2}{3}}}{\left(f x +e \right)^{4}}\, dx"," ",0,"int((b*x+a)^(1/3)*(d*x+c)^(2/3)/(f*x+e)^4,x)","F"
3008,0,0,419,0.049000," ","int((b*x+a)^(1/3)*(f*x+e)^2/(d*x+c)^(1/3),x)","\int \frac{\left(b x +a \right)^{\frac{1}{3}} \left(f x +e \right)^{2}}{\left(d x +c \right)^{\frac{1}{3}}}\, dx"," ",0,"int((b*x+a)^(1/3)*(f*x+e)^2/(d*x+c)^(1/3),x)","F"
3009,0,0,223,0.042000," ","int((b*x+a)^(1/3)*(f*x+e)/(d*x+c)^(1/3),x)","\int \frac{\left(b x +a \right)^{\frac{1}{3}} \left(f x +e \right)}{\left(d x +c \right)^{\frac{1}{3}}}\, dx"," ",0,"int((b*x+a)^(1/3)*(f*x+e)/(d*x+c)^(1/3),x)","F"
3010,0,0,132,0.000000," ","int((b*x+a)^(1/3)/(d*x+c)^(1/3),x)","\int \frac{\left(b x +a \right)^{\frac{1}{3}}}{\left(d x +c \right)^{\frac{1}{3}}}\, dx"," ",0,"int((b*x+a)^(1/3)/(d*x+c)^(1/3),x)","F"
3011,0,0,267,0.233000," ","int((b*x+a)^(1/3)/(d*x+c)^(1/3)/(f*x+e),x)","\int \frac{\left(b x +a \right)^{\frac{1}{3}}}{\left(d x +c \right)^{\frac{1}{3}} \left(f x +e \right)}\, dx"," ",0,"int((b*x+a)^(1/3)/(d*x+c)^(1/3)/(f*x+e),x)","F"
3012,0,0,217,0.237000," ","int((b*x+a)^(1/3)/(d*x+c)^(1/3)/(f*x+e)^2,x)","\int \frac{\left(b x +a \right)^{\frac{1}{3}}}{\left(d x +c \right)^{\frac{1}{3}} \left(f x +e \right)^{2}}\, dx"," ",0,"int((b*x+a)^(1/3)/(d*x+c)^(1/3)/(f*x+e)^2,x)","F"
3013,0,0,336,0.236000," ","int((b*x+a)^(1/3)/(d*x+c)^(1/3)/(f*x+e)^3,x)","\int \frac{\left(b x +a \right)^{\frac{1}{3}}}{\left(d x +c \right)^{\frac{1}{3}} \left(f x +e \right)^{3}}\, dx"," ",0,"int((b*x+a)^(1/3)/(d*x+c)^(1/3)/(f*x+e)^3,x)","F"
3014,0,0,535,0.238000," ","int((b*x+a)^(1/3)/(d*x+c)^(1/3)/(f*x+e)^4,x)","\int \frac{\left(b x +a \right)^{\frac{1}{3}}}{\left(d x +c \right)^{\frac{1}{3}} \left(f x +e \right)^{4}}\, dx"," ",0,"int((b*x+a)^(1/3)/(d*x+c)^(1/3)/(f*x+e)^4,x)","F"
3015,0,0,537,0.064000," ","int((f*x+e)^3/(b*x+a)^(1/3)/(d*x+c)^(2/3),x)","\int \frac{\left(f x +e \right)^{3}}{\left(b x +a \right)^{\frac{1}{3}} \left(d x +c \right)^{\frac{2}{3}}}\, dx"," ",0,"int((f*x+e)^3/(b*x+a)^(1/3)/(d*x+c)^(2/3),x)","F"
3016,0,0,319,0.044000," ","int((f*x+e)^2/(b*x+a)^(1/3)/(d*x+c)^(2/3),x)","\int \frac{\left(f x +e \right)^{2}}{\left(b x +a \right)^{\frac{1}{3}} \left(d x +c \right)^{\frac{2}{3}}}\, dx"," ",0,"int((f*x+e)^2/(b*x+a)^(1/3)/(d*x+c)^(2/3),x)","F"
3017,0,0,160,0.044000," ","int((f*x+e)/(b*x+a)^(1/3)/(d*x+c)^(2/3),x)","\int \frac{f x +e}{\left(b x +a \right)^{\frac{1}{3}} \left(d x +c \right)^{\frac{2}{3}}}\, dx"," ",0,"int((f*x+e)/(b*x+a)^(1/3)/(d*x+c)^(2/3),x)","F"
3018,0,0,90,0.002000," ","int(1/(b*x+a)^(1/3)/(d*x+c)^(2/3),x)","\int \frac{1}{\left(b x +a \right)^{\frac{1}{3}} \left(d x +c \right)^{\frac{2}{3}}}\, dx"," ",0,"int(1/(b*x+a)^(1/3)/(d*x+c)^(2/3),x)","F"
3019,0,0,161,0.240000," ","int(1/(b*x+a)^(1/3)/(d*x+c)^(2/3)/(f*x+e),x)","\int \frac{1}{\left(b x +a \right)^{\frac{1}{3}} \left(d x +c \right)^{\frac{2}{3}} \left(f x +e \right)}\, dx"," ",0,"int(1/(b*x+a)^(1/3)/(d*x+c)^(2/3)/(f*x+e),x)","F"
3020,0,0,253,0.231000," ","int(1/(b*x+a)^(1/3)/(d*x+c)^(2/3)/(f*x+e)^2,x)","\int \frac{1}{\left(b x +a \right)^{\frac{1}{3}} \left(d x +c \right)^{\frac{2}{3}} \left(f x +e \right)^{2}}\, dx"," ",0,"int(1/(b*x+a)^(1/3)/(d*x+c)^(2/3)/(f*x+e)^2,x)","F"
3021,0,0,427,0.234000," ","int(1/(b*x+a)^(1/3)/(d*x+c)^(2/3)/(f*x+e)^3,x)","\int \frac{1}{\left(b x +a \right)^{\frac{1}{3}} \left(d x +c \right)^{\frac{2}{3}} \left(f x +e \right)^{3}}\, dx"," ",0,"int(1/(b*x+a)^(1/3)/(d*x+c)^(2/3)/(f*x+e)^3,x)","F"
3022,0,0,1189,0.252000," ","int((b*x+a)^3/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(1/3),x)","\int \frac{\left(b x +a \right)^{3}}{\left(d x +c \right)^{\frac{1}{3}} \left(2 b d x +a d +b c \right)^{\frac{1}{3}}}\, dx"," ",0,"int((b*x+a)^3/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(1/3),x)","F"
3023,0,0,1173,0.231000," ","int((b*x+a)^2/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(1/3),x)","\int \frac{\left(b x +a \right)^{2}}{\left(d x +c \right)^{\frac{1}{3}} \left(2 b d x +a d +b c \right)^{\frac{1}{3}}}\, dx"," ",0,"int((b*x+a)^2/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(1/3),x)","F"
3024,0,0,1132,0.230000," ","int((b*x+a)/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(1/3),x)","\int \frac{b x +a}{\left(d x +c \right)^{\frac{1}{3}} \left(2 b d x +a d +b c \right)^{\frac{1}{3}}}\, dx"," ",0,"int((b*x+a)/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(1/3),x)","F"
3025,0,0,1098,0.229000," ","int(1/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(1/3),x)","\int \frac{1}{\left(d x +c \right)^{\frac{1}{3}} \left(2 b d x +a d +b c \right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(1/3),x)","F"
3026,0,0,140,0.240000," ","int(1/(b*x+a)/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(1/3),x)","\int \frac{1}{\left(b x +a \right) \left(d x +c \right)^{\frac{1}{3}} \left(2 b d x +a d +b c \right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(b*x+a)/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(1/3),x)","F"
3027,0,0,1285,0.240000," ","int(1/(b*x+a)^2/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(1/3),x)","\int \frac{1}{\left(b x +a \right)^{2} \left(d x +c \right)^{\frac{1}{3}} \left(2 b d x +a d +b c \right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(b*x+a)^2/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(1/3),x)","F"
3028,0,0,1332,0.240000," ","int(1/(b*x+a)^3/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(1/3),x)","\int \frac{1}{\left(b x +a \right)^{3} \left(d x +c \right)^{\frac{1}{3}} \left(2 b d x +a d +b c \right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(b*x+a)^3/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(1/3),x)","F"
3029,0,0,1188,0.232000," ","int((b*x+a)^3/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(4/3),x)","\int \frac{\left(b x +a \right)^{3}}{\left(d x +c \right)^{\frac{1}{3}} \left(2 b d x +a d +b c \right)^{\frac{4}{3}}}\, dx"," ",0,"int((b*x+a)^3/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(4/3),x)","F"
3030,0,0,1166,0.236000," ","int((b*x+a)^2/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(4/3),x)","\int \frac{\left(b x +a \right)^{2}}{\left(d x +c \right)^{\frac{1}{3}} \left(2 b d x +a d +b c \right)^{\frac{4}{3}}}\, dx"," ",0,"int((b*x+a)^2/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(4/3),x)","F"
3031,1,27,26,0.007000," ","int((b*x+a)/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(4/3),x)","\frac{3 \left(d x +c \right)^{\frac{2}{3}}}{2 \left(2 b d x +a d +b c \right)^{\frac{1}{3}} d^{2}}"," ",0,"3/2*(d*x+c)^(2/3)/d^2/(2*b*d*x+a*d+b*c)^(1/3)","A"
3032,0,0,1144,0.237000," ","int(1/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(4/3),x)","\int \frac{1}{\left(d x +c \right)^{\frac{1}{3}} \left(2 b d x +a d +b c \right)^{\frac{4}{3}}}\, dx"," ",0,"int(1/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(4/3),x)","F"
3033,0,0,100,0.240000," ","int(1/(b*x+a)/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(4/3),x)","\int \frac{1}{\left(b x +a \right) \left(d x +c \right)^{\frac{1}{3}} \left(2 b d x +a d +b c \right)^{\frac{4}{3}}}\, dx"," ",0,"int(1/(b*x+a)/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(4/3),x)","F"
3034,0,0,101,0.244000," ","int(1/(b*x+a)^2/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(4/3),x)","\int \frac{1}{\left(b x +a \right)^{2} \left(d x +c \right)^{\frac{1}{3}} \left(2 b d x +a d +b c \right)^{\frac{4}{3}}}\, dx"," ",0,"int(1/(b*x+a)^2/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(4/3),x)","F"
3035,0,0,103,0.240000," ","int(1/(b*x+a)^3/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(4/3),x)","\int \frac{1}{\left(b x +a \right)^{3} \left(d x +c \right)^{\frac{1}{3}} \left(2 b d x +a d +b c \right)^{\frac{4}{3}}}\, dx"," ",0,"int(1/(b*x+a)^3/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(4/3),x)","F"
3036,0,0,90,0.245000," ","int(1/(-3*e*x+d)^(1/3)/(e*x+d)/(3*e*x+d)^(1/3),x)","\int \frac{1}{\left(-3 e x +d \right)^{\frac{1}{3}} \left(e x +d \right) \left(3 e x +d \right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(-3*e*x+d)^(1/3)/(e*x+d)/(3*e*x+d)^(1/3),x)","F"
3037,0,0,502,0.244000," ","int((b*x+a)^(4/3)*(f*x+e)^2/(d*x+c)^(4/3),x)","\int \frac{\left(b x +a \right)^{\frac{4}{3}} \left(f x +e \right)^{2}}{\left(d x +c \right)^{\frac{4}{3}}}\, dx"," ",0,"int((b*x+a)^(4/3)*(f*x+e)^2/(d*x+c)^(4/3),x)","F"
3038,0,0,274,0.244000," ","int((b*x+a)^(4/3)*(f*x+e)/(d*x+c)^(4/3),x)","\int \frac{\left(b x +a \right)^{\frac{4}{3}} \left(f x +e \right)}{\left(d x +c \right)^{\frac{4}{3}}}\, dx"," ",0,"int((b*x+a)^(4/3)*(f*x+e)/(d*x+c)^(4/3),x)","F"
3039,0,0,153,0.000000," ","int((b*x+a)^(4/3)/(d*x+c)^(4/3),x)","\int \frac{\left(b x +a \right)^{\frac{4}{3}}}{\left(d x +c \right)^{\frac{4}{3}}}\, dx"," ",0,"int((b*x+a)^(4/3)/(d*x+c)^(4/3),x)","F"
3040,0,0,304,0.236000," ","int((b*x+a)^(4/3)/(d*x+c)^(4/3)/(f*x+e),x)","\int \frac{\left(b x +a \right)^{\frac{4}{3}}}{\left(d x +c \right)^{\frac{4}{3}} \left(f x +e \right)}\, dx"," ",0,"int((b*x+a)^(4/3)/(d*x+c)^(4/3)/(f*x+e),x)","F"
3041,0,0,259,0.242000," ","int((b*x+a)^(4/3)/(d*x+c)^(4/3)/(f*x+e)^2,x)","\int \frac{\left(b x +a \right)^{\frac{4}{3}}}{\left(d x +c \right)^{\frac{4}{3}} \left(f x +e \right)^{2}}\, dx"," ",0,"int((b*x+a)^(4/3)/(d*x+c)^(4/3)/(f*x+e)^2,x)","F"
3042,0,0,380,0.238000," ","int((b*x+a)^(4/3)/(d*x+c)^(4/3)/(f*x+e)^3,x)","\int \frac{\left(b x +a \right)^{\frac{4}{3}}}{\left(d x +c \right)^{\frac{4}{3}} \left(f x +e \right)^{3}}\, dx"," ",0,"int((b*x+a)^(4/3)/(d*x+c)^(4/3)/(f*x+e)^3,x)","F"
3043,0,0,585,0.239000," ","int((b*x+a)^(4/3)/(d*x+c)^(4/3)/(f*x+e)^4,x)","\int \frac{\left(b x +a \right)^{\frac{4}{3}}}{\left(d x +c \right)^{\frac{4}{3}} \left(f x +e \right)^{4}}\, dx"," ",0,"int((b*x+a)^(4/3)/(d*x+c)^(4/3)/(f*x+e)^4,x)","F"
3044,0,0,214,0.242000," ","int(1/(b*x+a)/(f*x+e)^(1/4)/(d*x+c)^(1/2),x)","\int \frac{1}{\left(b x +a \right) \left(f x +e \right)^{\frac{1}{4}} \sqrt{d x +c}}\, dx"," ",0,"int(1/(b*x+a)/(f*x+e)^(1/4)/(d*x+c)^(1/2),x)","F"
3045,0,0,208,0.238000," ","int(1/(b*x+a)/(f*x+e)^(3/4)/(d*x+c)^(1/2),x)","\int \frac{1}{\left(b x +a \right) \left(f x +e \right)^{\frac{3}{4}} \sqrt{d x +c}}\, dx"," ",0,"int(1/(b*x+a)/(f*x+e)^(3/4)/(d*x+c)^(1/2),x)","F"
3046,0,0,127,0.233000," ","int((b*x+a)^p*(B*x+A)*(e*x+d)^(-2-p),x)","\int \left(B x +A \right) \left(b x +a \right)^{p} \left(e x +d \right)^{-p -2}\, dx"," ",0,"int((b*x+a)^p*(B*x+A)*(e*x+d)^(-2-p),x)","F"
3047,0,0,132,0.278000," ","int((b*x+a)*(d*x+c)^n/((f*x+e)^n),x)","\int \left(b x +a \right) \left(d x +c \right)^{n} \left(f x +e \right)^{-n}\, dx"," ",0,"int((b*x+a)*(d*x+c)^n/((f*x+e)^n),x)","F"
3048,0,0,154,0.233000," ","int((b*x+a)*(d*x+c)^(n-1)/((f*x+e)^n),x)","\int \left(b x +a \right) \left(d x +c \right)^{n -1} \left(f x +e \right)^{-n}\, dx"," ",0,"int((b*x+a)*(d*x+c)^(n-1)/((f*x+e)^n),x)","F"
3049,0,0,119,0.228000," ","int((b*x+a)*(d*x+c)^(n-2)/((f*x+e)^n),x)","\int \left(b x +a \right) \left(d x +c \right)^{n -2} \left(f x +e \right)^{-n}\, dx"," ",0,"int((b*x+a)*(d*x+c)^(n-2)/((f*x+e)^n),x)","F"
3050,1,161,123,0.005000," ","int((b*x+a)*(d*x+c)^(n-3)/((f*x+e)^n),x)","-\frac{\left(f x +e \right) \left(b c f n x -b d e n x +a c f n -a d e n -a d f x -b c f x +2 b d e x -2 a c f +a d e +b c e \right) \left(d x +c \right)^{n -2} \left(f x +e \right)^{-n}}{c^{2} f^{2} n^{2}-2 c d e f \,n^{2}+d^{2} e^{2} n^{2}-3 c^{2} f^{2} n +6 c d e f n -3 d^{2} e^{2} n +2 c^{2} f^{2}-4 c d e f +2 d^{2} e^{2}}"," ",0,"-(d*x+c)^(n-2)*(f*x+e)*(b*c*f*n*x-b*d*e*n*x+a*c*f*n-a*d*e*n-a*d*f*x-b*c*f*x+2*b*d*e*x-2*a*c*f+a*d*e+b*c*e)/(c^2*f^2*n^2-2*c*d*e*f*n^2+d^2*e^2*n^2-3*c^2*f^2*n+6*c*d*e*f*n-3*d^2*e^2*n+2*c^2*f^2-4*c*d*e*f+2*d^2*e^2)/((f*x+e)^n)","A"
3051,1,506,207,0.009000," ","int((b*x+a)*(d*x+c)^(-4+n)/((f*x+e)^n),x)","-\frac{\left(f x +e \right) \left(b \,c^{2} f^{2} n^{2} x -2 b c d e f \,n^{2} x -b c d \,f^{2} n \,x^{2}+b \,d^{2} e^{2} n^{2} x +b \,d^{2} e f n \,x^{2}+a \,c^{2} f^{2} n^{2}-2 a c d e f \,n^{2}-2 a c d \,f^{2} n x +a \,d^{2} e^{2} n^{2}+2 a \,d^{2} e f n x +2 a \,d^{2} f^{2} x^{2}-4 b \,c^{2} f^{2} n x +8 b c d e f n x +b c d \,f^{2} x^{2}-4 b \,d^{2} e^{2} n x -3 b \,d^{2} e f \,x^{2}-5 a \,c^{2} f^{2} n +8 a c d e f n +6 a c d \,f^{2} x -3 a \,d^{2} e^{2} n -2 a \,d^{2} e f x +b \,c^{2} e f n +3 b \,c^{2} f^{2} x -b c d \,e^{2} n -10 b c d e f x +3 b \,d^{2} e^{2} x +6 a \,c^{2} f^{2}-6 a c d e f +2 a \,d^{2} e^{2}-3 b \,c^{2} e f +b c d \,e^{2}\right) \left(d x +c \right)^{n -3} \left(f x +e \right)^{-n}}{c^{3} f^{3} n^{3}-3 c^{2} d e \,f^{2} n^{3}+3 c \,d^{2} e^{2} f \,n^{3}-d^{3} e^{3} n^{3}-6 c^{3} f^{3} n^{2}+18 c^{2} d e \,f^{2} n^{2}-18 c \,d^{2} e^{2} f \,n^{2}+6 d^{3} e^{3} n^{2}+11 c^{3} f^{3} n -33 c^{2} d e \,f^{2} n +33 c \,d^{2} e^{2} f n -11 d^{3} e^{3} n -6 c^{3} f^{3}+18 c^{2} d e \,f^{2}-18 c \,d^{2} e^{2} f +6 d^{3} e^{3}}"," ",0,"-(d*x+c)^(n-3)*(f*x+e)*(b*c^2*f^2*n^2*x-2*b*c*d*e*f*n^2*x-b*c*d*f^2*n*x^2+b*d^2*e^2*n^2*x+b*d^2*e*f*n*x^2+a*c^2*f^2*n^2-2*a*c*d*e*f*n^2-2*a*c*d*f^2*n*x+a*d^2*e^2*n^2+2*a*d^2*e*f*n*x+2*a*d^2*f^2*x^2-4*b*c^2*f^2*n*x+8*b*c*d*e*f*n*x+b*c*d*f^2*x^2-4*b*d^2*e^2*n*x-3*b*d^2*e*f*x^2-5*a*c^2*f^2*n+8*a*c*d*e*f*n+6*a*c*d*f^2*x-3*a*d^2*e^2*n-2*a*d^2*e*f*x+b*c^2*e*f*n+3*b*c^2*f^2*x-b*c*d*e^2*n-10*b*c*d*e*f*x+3*b*d^2*e^2*x+6*a*c^2*f^2-6*a*c*d*e*f+2*a*d^2*e^2-3*b*c^2*e*f+b*c*d*e^2)/(c^3*f^3*n^3-3*c^2*d*e*f^2*n^3+3*c*d^2*e^2*f*n^3-d^3*e^3*n^3-6*c^3*f^3*n^2+18*c^2*d*e*f^2*n^2-18*c*d^2*e^2*f*n^2+6*d^3*e^3*n^2+11*c^3*f^3*n-33*c^2*d*e*f^2*n+33*c*d^2*e^2*f*n-11*d^3*e^3*n-6*c^3*f^3+18*c^2*d*e*f^2-18*c*d^2*e^2*f+6*d^3*e^3)/((f*x+e)^n)","B"
3052,1,1187,299,0.011000," ","int((b*x+a)*(d*x+c)^(-5+n)/((f*x+e)^n),x)","-\frac{\left(f x +e \right) \left(b \,c^{3} f^{3} n^{3} x -3 b \,c^{2} d e \,f^{2} n^{3} x -2 b \,c^{2} d \,f^{3} n^{2} x^{2}+3 b c \,d^{2} e^{2} f \,n^{3} x +4 b c \,d^{2} e \,f^{2} n^{2} x^{2}+2 b c \,d^{2} f^{3} n \,x^{3}-b \,d^{3} e^{3} n^{3} x -2 b \,d^{3} e^{2} f \,n^{2} x^{2}-2 b \,d^{3} e \,f^{2} n \,x^{3}+a \,c^{3} f^{3} n^{3}-3 a \,c^{2} d e \,f^{2} n^{3}-3 a \,c^{2} d \,f^{3} n^{2} x +3 a c \,d^{2} e^{2} f \,n^{3}+6 a c \,d^{2} e \,f^{2} n^{2} x +6 a c \,d^{2} f^{3} n \,x^{2}-a \,d^{3} e^{3} n^{3}-3 a \,d^{3} e^{2} f \,n^{2} x -6 a \,d^{3} e \,f^{2} n \,x^{2}-6 a \,d^{3} f^{3} x^{3}-8 b \,c^{3} f^{3} n^{2} x +23 b \,c^{2} d e \,f^{2} n^{2} x +10 b \,c^{2} d \,f^{3} n \,x^{2}-22 b c \,d^{2} e^{2} f \,n^{2} x -20 b c \,d^{2} e \,f^{2} n \,x^{2}-2 b c \,d^{2} f^{3} x^{3}+7 b \,d^{3} e^{3} n^{2} x +10 b \,d^{3} e^{2} f n \,x^{2}+8 b \,d^{3} e \,f^{2} x^{3}-9 a \,c^{3} f^{3} n^{2}+24 a \,c^{2} d e \,f^{2} n^{2}+21 a \,c^{2} d \,f^{3} n x -21 a c \,d^{2} e^{2} f \,n^{2}-30 a c \,d^{2} e \,f^{2} n x -24 a c \,d^{2} f^{3} x^{2}+6 a \,d^{3} e^{3} n^{2}+9 a \,d^{3} e^{2} f n x +6 a \,d^{3} e \,f^{2} x^{2}+b \,c^{3} e \,f^{2} n^{2}+19 b \,c^{3} f^{3} n x -2 b \,c^{2} d \,e^{2} f \,n^{2}-58 b \,c^{2} d e \,f^{2} n x -8 b \,c^{2} d \,f^{3} x^{2}+b c \,d^{2} e^{3} n^{2}+53 b c \,d^{2} e^{2} f n x +34 b c \,d^{2} e \,f^{2} x^{2}-14 b \,d^{3} e^{3} n x -8 b \,d^{3} e^{2} f \,x^{2}+26 a \,c^{3} f^{3} n -57 a \,c^{2} d e \,f^{2} n -36 a \,c^{2} d \,f^{3} x +42 a c \,d^{2} e^{2} f n +24 a c \,d^{2} e \,f^{2} x -11 a \,d^{3} e^{3} n -6 a \,d^{3} e^{2} f x -7 b \,c^{3} e \,f^{2} n -12 b \,c^{3} f^{3} x +10 b \,c^{2} d \,e^{2} f n +56 b \,c^{2} d e \,f^{2} x -3 b c \,d^{2} e^{3} n -34 b c \,d^{2} e^{2} f x +8 b \,d^{3} e^{3} x -24 a \,c^{3} f^{3}+36 a \,c^{2} d e \,f^{2}-24 a c \,d^{2} e^{2} f +6 a \,d^{3} e^{3}+12 b \,c^{3} e \,f^{2}-8 b \,c^{2} d \,e^{2} f +2 b c \,d^{2} e^{3}\right) \left(d x +c \right)^{n -4} \left(f x +e \right)^{-n}}{c^{4} f^{4} n^{4}-4 c^{3} d e \,f^{3} n^{4}+6 c^{2} d^{2} e^{2} f^{2} n^{4}-4 c \,d^{3} e^{3} f \,n^{4}+d^{4} e^{4} n^{4}-10 c^{4} f^{4} n^{3}+40 c^{3} d e \,f^{3} n^{3}-60 c^{2} d^{2} e^{2} f^{2} n^{3}+40 c \,d^{3} e^{3} f \,n^{3}-10 d^{4} e^{4} n^{3}+35 c^{4} f^{4} n^{2}-140 c^{3} d e \,f^{3} n^{2}+210 c^{2} d^{2} e^{2} f^{2} n^{2}-140 c \,d^{3} e^{3} f \,n^{2}+35 d^{4} e^{4} n^{2}-50 c^{4} f^{4} n +200 c^{3} d e \,f^{3} n -300 c^{2} d^{2} e^{2} f^{2} n +200 c \,d^{3} e^{3} f n -50 d^{4} e^{4} n +24 c^{4} f^{4}-96 c^{3} d e \,f^{3}+144 c^{2} d^{2} e^{2} f^{2}-96 c \,d^{3} e^{3} f +24 d^{4} e^{4}}"," ",0,"-(d*x+c)^(-4+n)*(f*x+e)*(b*c^3*f^3*n^3*x-3*b*c^2*d*e*f^2*n^3*x-2*b*c^2*d*f^3*n^2*x^2+3*b*c*d^2*e^2*f*n^3*x+4*b*c*d^2*e*f^2*n^2*x^2+2*b*c*d^2*f^3*n*x^3-b*d^3*e^3*n^3*x-2*b*d^3*e^2*f*n^2*x^2-2*b*d^3*e*f^2*n*x^3+a*c^3*f^3*n^3-3*a*c^2*d*e*f^2*n^3-3*a*c^2*d*f^3*n^2*x+3*a*c*d^2*e^2*f*n^3+6*a*c*d^2*e*f^2*n^2*x+6*a*c*d^2*f^3*n*x^2-a*d^3*e^3*n^3-3*a*d^3*e^2*f*n^2*x-6*a*d^3*e*f^2*n*x^2-6*a*d^3*f^3*x^3-8*b*c^3*f^3*n^2*x+23*b*c^2*d*e*f^2*n^2*x+10*b*c^2*d*f^3*n*x^2-22*b*c*d^2*e^2*f*n^2*x-20*b*c*d^2*e*f^2*n*x^2-2*b*c*d^2*f^3*x^3+7*b*d^3*e^3*n^2*x+10*b*d^3*e^2*f*n*x^2+8*b*d^3*e*f^2*x^3-9*a*c^3*f^3*n^2+24*a*c^2*d*e*f^2*n^2+21*a*c^2*d*f^3*n*x-21*a*c*d^2*e^2*f*n^2-30*a*c*d^2*e*f^2*n*x-24*a*c*d^2*f^3*x^2+6*a*d^3*e^3*n^2+9*a*d^3*e^2*f*n*x+6*a*d^3*e*f^2*x^2+b*c^3*e*f^2*n^2+19*b*c^3*f^3*n*x-2*b*c^2*d*e^2*f*n^2-58*b*c^2*d*e*f^2*n*x-8*b*c^2*d*f^3*x^2+b*c*d^2*e^3*n^2+53*b*c*d^2*e^2*f*n*x+34*b*c*d^2*e*f^2*x^2-14*b*d^3*e^3*n*x-8*b*d^3*e^2*f*x^2+26*a*c^3*f^3*n-57*a*c^2*d*e*f^2*n-36*a*c^2*d*f^3*x+42*a*c*d^2*e^2*f*n+24*a*c*d^2*e*f^2*x-11*a*d^3*e^3*n-6*a*d^3*e^2*f*x-7*b*c^3*e*f^2*n-12*b*c^3*f^3*x+10*b*c^2*d*e^2*f*n+56*b*c^2*d*e*f^2*x-3*b*c*d^2*e^3*n-34*b*c*d^2*e^2*f*x+8*b*d^3*e^3*x-24*a*c^3*f^3+36*a*c^2*d*e*f^2-24*a*c*d^2*e^2*f+6*a*d^3*e^3+12*b*c^3*e*f^2-8*b*c^2*d*e^2*f+2*b*c*d^2*e^3)/(c^4*f^4*n^4-4*c^3*d*e*f^3*n^4+6*c^2*d^2*e^2*f^2*n^4-4*c*d^3*e^3*f*n^4+d^4*e^4*n^4-10*c^4*f^4*n^3+40*c^3*d*e*f^3*n^3-60*c^2*d^2*e^2*f^2*n^3+40*c*d^3*e^3*f*n^3-10*d^4*e^4*n^3+35*c^4*f^4*n^2-140*c^3*d*e*f^3*n^2+210*c^2*d^2*e^2*f^2*n^2-140*c*d^3*e^3*f*n^2+35*d^4*e^4*n^2-50*c^4*f^4*n+200*c^3*d*e*f^3*n-300*c^2*d^2*e^2*f^2*n+200*c*d^3*e^3*f*n-50*d^4*e^4*n+24*c^4*f^4-96*c^3*d*e*f^3+144*c^2*d^2*e^2*f^2-96*c*d^3*e^3*f+24*d^4*e^4)/((f*x+e)^n)","B"
3053,0,0,133,0.228000," ","int((d*x+c)*(f*x+e)^n/((b*x+a)^n),x)","\int \left(d x +c \right) \left(b x +a \right)^{-n} \left(f x +e \right)^{n}\, dx"," ",0,"int((d*x+c)*(f*x+e)^n/((b*x+a)^n),x)","F"
3054,0,0,153,0.234000," ","int((d*x+c)*(f*x+e)^(n-1)/((b*x+a)^n),x)","\int \left(d x +c \right) \left(b x +a \right)^{-n} \left(f x +e \right)^{n -1}\, dx"," ",0,"int((d*x+c)*(f*x+e)^(n-1)/((b*x+a)^n),x)","F"
3055,0,0,120,0.225000," ","int((d*x+c)*(f*x+e)^(n-2)/((b*x+a)^n),x)","\int \left(d x +c \right) \left(b x +a \right)^{-n} \left(f x +e \right)^{n -2}\, dx"," ",0,"int((d*x+c)*(f*x+e)^(n-2)/((b*x+a)^n),x)","F"
3056,1,160,125,0.006000," ","int((d*x+c)*(f*x+e)^(n-3)/((b*x+a)^n),x)","\frac{\left(b x +a \right) \left(a d f n x -b d e n x +a c f n -2 a d f x -b c e n +b c f x +b d e x -a c f -a d e +2 b c e \right) \left(b x +a \right)^{-n} \left(f x +e \right)^{n -2}}{a^{2} f^{2} n^{2}-2 a b e f \,n^{2}+b^{2} e^{2} n^{2}-3 a^{2} f^{2} n +6 a b e f n -3 b^{2} e^{2} n +2 a^{2} f^{2}-4 a b e f +2 b^{2} e^{2}}"," ",0,"(b*x+a)*(f*x+e)^(n-2)*(a*d*f*n*x-b*d*e*n*x+a*c*f*n-2*a*d*f*x-b*c*e*n+b*c*f*x+b*d*e*x-a*c*f-a*d*e+2*b*c*e)/(a^2*f^2*n^2-2*a*b*e*f*n^2+b^2*e^2*n^2-3*a^2*f^2*n+6*a*b*e*f*n-3*b^2*e^2*n+2*a^2*f^2-4*a*b*e*f+2*b^2*e^2)/((b*x+a)^n)","A"
3057,1,505,207,0.008000," ","int((d*x+c)*(f*x+e)^(n-4)/((b*x+a)^n),x)","\frac{\left(b x +a \right) \left(a^{2} d \,f^{2} n^{2} x -2 a b d e f \,n^{2} x +a b d \,f^{2} n \,x^{2}+b^{2} d \,e^{2} n^{2} x -b^{2} d e f n \,x^{2}+a^{2} c \,f^{2} n^{2}-4 a^{2} d \,f^{2} n x -2 a b c e f \,n^{2}+2 a b c \,f^{2} n x +8 a b d e f n x -3 a b d \,f^{2} x^{2}+b^{2} c \,e^{2} n^{2}-2 b^{2} c e f n x +2 b^{2} c \,f^{2} x^{2}-4 b^{2} d \,e^{2} n x +b^{2} d e f \,x^{2}-3 a^{2} c \,f^{2} n -a^{2} d e f n +3 a^{2} d \,f^{2} x +8 a b c e f n -2 a b c \,f^{2} x +a b d \,e^{2} n -10 a b d e f x -5 b^{2} c \,e^{2} n +6 b^{2} c e f x +3 b^{2} d \,e^{2} x +2 a^{2} c \,f^{2}+a^{2} d e f -6 a b c e f -3 a b d \,e^{2}+6 b^{2} c \,e^{2}\right) \left(b x +a \right)^{-n} \left(f x +e \right)^{n -3}}{a^{3} f^{3} n^{3}-3 a^{2} b e \,f^{2} n^{3}+3 a \,b^{2} e^{2} f \,n^{3}-b^{3} e^{3} n^{3}-6 a^{3} f^{3} n^{2}+18 a^{2} b e \,f^{2} n^{2}-18 a \,b^{2} e^{2} f \,n^{2}+6 b^{3} e^{3} n^{2}+11 a^{3} f^{3} n -33 a^{2} b e \,f^{2} n +33 a \,b^{2} e^{2} f n -11 b^{3} e^{3} n -6 a^{3} f^{3}+18 a^{2} b e \,f^{2}-18 a \,b^{2} e^{2} f +6 b^{3} e^{3}}"," ",0,"(b*x+a)*(f*x+e)^(n-3)*(a^2*d*f^2*n^2*x-2*a*b*d*e*f*n^2*x+a*b*d*f^2*n*x^2+b^2*d*e^2*n^2*x-b^2*d*e*f*n*x^2+a^2*c*f^2*n^2-4*a^2*d*f^2*n*x-2*a*b*c*e*f*n^2+2*a*b*c*f^2*n*x+8*a*b*d*e*f*n*x-3*a*b*d*f^2*x^2+b^2*c*e^2*n^2-2*b^2*c*e*f*n*x+2*b^2*c*f^2*x^2-4*b^2*d*e^2*n*x+b^2*d*e*f*x^2-3*a^2*c*f^2*n-a^2*d*e*f*n+3*a^2*d*f^2*x+8*a*b*c*e*f*n-2*a*b*c*f^2*x+a*b*d*e^2*n-10*a*b*d*e*f*x-5*b^2*c*e^2*n+6*b^2*c*e*f*x+3*b^2*d*e^2*x+2*a^2*c*f^2+a^2*d*e*f-6*a*b*c*e*f-3*a*b*d*e^2+6*b^2*c*e^2)/(a^3*f^3*n^3-3*a^2*b*e*f^2*n^3+3*a*b^2*e^2*f*n^3-b^3*e^3*n^3-6*a^3*f^3*n^2+18*a^2*b*e*f^2*n^2-18*a*b^2*e^2*f*n^2+6*b^3*e^3*n^2+11*a^3*f^3*n-33*a^2*b*e*f^2*n+33*a*b^2*e^2*f*n-11*b^3*e^3*n-6*a^3*f^3+18*a^2*b*e*f^2-18*a*b^2*e^2*f+6*b^3*e^3)/((b*x+a)^n)","B"
3058,1,1188,300,0.012000," ","int((d*x+c)*(f*x+e)^(-5+n)/((b*x+a)^n),x)","\frac{\left(b x +a \right) \left(a^{3} d \,f^{3} n^{3} x -3 a^{2} b d e \,f^{2} n^{3} x +2 a^{2} b d \,f^{3} n^{2} x^{2}+3 a \,b^{2} d \,e^{2} f \,n^{3} x -4 a \,b^{2} d e \,f^{2} n^{2} x^{2}+2 a \,b^{2} d \,f^{3} n \,x^{3}-b^{3} d \,e^{3} n^{3} x +2 b^{3} d \,e^{2} f \,n^{2} x^{2}-2 b^{3} d e \,f^{2} n \,x^{3}+a^{3} c \,f^{3} n^{3}-7 a^{3} d \,f^{3} n^{2} x -3 a^{2} b c e \,f^{2} n^{3}+3 a^{2} b c \,f^{3} n^{2} x +22 a^{2} b d e \,f^{2} n^{2} x -10 a^{2} b d \,f^{3} n \,x^{2}+3 a \,b^{2} c \,e^{2} f \,n^{3}-6 a \,b^{2} c e \,f^{2} n^{2} x +6 a \,b^{2} c \,f^{3} n \,x^{2}-23 a \,b^{2} d \,e^{2} f \,n^{2} x +20 a \,b^{2} d e \,f^{2} n \,x^{2}-8 a \,b^{2} d \,f^{3} x^{3}-b^{3} c \,e^{3} n^{3}+3 b^{3} c \,e^{2} f \,n^{2} x -6 b^{3} c e \,f^{2} n \,x^{2}+6 b^{3} c \,f^{3} x^{3}+8 b^{3} d \,e^{3} n^{2} x -10 b^{3} d \,e^{2} f n \,x^{2}+2 b^{3} d e \,f^{2} x^{3}-6 a^{3} c \,f^{3} n^{2}-a^{3} d e \,f^{2} n^{2}+14 a^{3} d \,f^{3} n x +21 a^{2} b c e \,f^{2} n^{2}-9 a^{2} b c \,f^{3} n x +2 a^{2} b d \,e^{2} f \,n^{2}-53 a^{2} b d e \,f^{2} n x +8 a^{2} b d \,f^{3} x^{2}-24 a \,b^{2} c \,e^{2} f \,n^{2}+30 a \,b^{2} c e \,f^{2} n x -6 a \,b^{2} c \,f^{3} x^{2}-a \,b^{2} d \,e^{3} n^{2}+58 a \,b^{2} d \,e^{2} f n x -34 a \,b^{2} d e \,f^{2} x^{2}+9 b^{3} c \,e^{3} n^{2}-21 b^{3} c \,e^{2} f n x +24 b^{3} c e \,f^{2} x^{2}-19 b^{3} d \,e^{3} n x +8 b^{3} d \,e^{2} f \,x^{2}+11 a^{3} c \,f^{3} n +3 a^{3} d e \,f^{2} n -8 a^{3} d \,f^{3} x -42 a^{2} b c e \,f^{2} n +6 a^{2} b c \,f^{3} x -10 a^{2} b d \,e^{2} f n +34 a^{2} b d e \,f^{2} x +57 a \,b^{2} c \,e^{2} f n -24 a \,b^{2} c e \,f^{2} x +7 a \,b^{2} d \,e^{3} n -56 a \,b^{2} d \,e^{2} f x -26 b^{3} c \,e^{3} n +36 b^{3} c \,e^{2} f x +12 b^{3} d \,e^{3} x -6 a^{3} c \,f^{3}-2 a^{3} d e \,f^{2}+24 a^{2} b c e \,f^{2}+8 a^{2} b d \,e^{2} f -36 a \,b^{2} c \,e^{2} f -12 a \,b^{2} d \,e^{3}+24 b^{3} c \,e^{3}\right) \left(b x +a \right)^{-n} \left(f x +e \right)^{n -4}}{a^{4} f^{4} n^{4}-4 a^{3} b e \,f^{3} n^{4}+6 a^{2} b^{2} e^{2} f^{2} n^{4}-4 a \,b^{3} e^{3} f \,n^{4}+b^{4} e^{4} n^{4}-10 a^{4} f^{4} n^{3}+40 a^{3} b e \,f^{3} n^{3}-60 a^{2} b^{2} e^{2} f^{2} n^{3}+40 a \,b^{3} e^{3} f \,n^{3}-10 b^{4} e^{4} n^{3}+35 a^{4} f^{4} n^{2}-140 a^{3} b e \,f^{3} n^{2}+210 a^{2} b^{2} e^{2} f^{2} n^{2}-140 a \,b^{3} e^{3} f \,n^{2}+35 b^{4} e^{4} n^{2}-50 a^{4} f^{4} n +200 a^{3} b e \,f^{3} n -300 a^{2} b^{2} e^{2} f^{2} n +200 a \,b^{3} e^{3} f n -50 b^{4} e^{4} n +24 a^{4} f^{4}-96 a^{3} b e \,f^{3}+144 a^{2} b^{2} e^{2} f^{2}-96 a \,b^{3} e^{3} f +24 b^{4} e^{4}}"," ",0,"(b*x+a)*(f*x+e)^(n-4)*(a^3*d*f^3*n^3*x-3*a^2*b*d*e*f^2*n^3*x+2*a^2*b*d*f^3*n^2*x^2+3*a*b^2*d*e^2*f*n^3*x-4*a*b^2*d*e*f^2*n^2*x^2+2*a*b^2*d*f^3*n*x^3-b^3*d*e^3*n^3*x+2*b^3*d*e^2*f*n^2*x^2-2*b^3*d*e*f^2*n*x^3+a^3*c*f^3*n^3-7*a^3*d*f^3*n^2*x-3*a^2*b*c*e*f^2*n^3+3*a^2*b*c*f^3*n^2*x+22*a^2*b*d*e*f^2*n^2*x-10*a^2*b*d*f^3*n*x^2+3*a*b^2*c*e^2*f*n^3-6*a*b^2*c*e*f^2*n^2*x+6*a*b^2*c*f^3*n*x^2-23*a*b^2*d*e^2*f*n^2*x+20*a*b^2*d*e*f^2*n*x^2-8*a*b^2*d*f^3*x^3-b^3*c*e^3*n^3+3*b^3*c*e^2*f*n^2*x-6*b^3*c*e*f^2*n*x^2+6*b^3*c*f^3*x^3+8*b^3*d*e^3*n^2*x-10*b^3*d*e^2*f*n*x^2+2*b^3*d*e*f^2*x^3-6*a^3*c*f^3*n^2-a^3*d*e*f^2*n^2+14*a^3*d*f^3*n*x+21*a^2*b*c*e*f^2*n^2-9*a^2*b*c*f^3*n*x+2*a^2*b*d*e^2*f*n^2-53*a^2*b*d*e*f^2*n*x+8*a^2*b*d*f^3*x^2-24*a*b^2*c*e^2*f*n^2+30*a*b^2*c*e*f^2*n*x-6*a*b^2*c*f^3*x^2-a*b^2*d*e^3*n^2+58*a*b^2*d*e^2*f*n*x-34*a*b^2*d*e*f^2*x^2+9*b^3*c*e^3*n^2-21*b^3*c*e^2*f*n*x+24*b^3*c*e*f^2*x^2-19*b^3*d*e^3*n*x+8*b^3*d*e^2*f*x^2+11*a^3*c*f^3*n+3*a^3*d*e*f^2*n-8*a^3*d*f^3*x-42*a^2*b*c*e*f^2*n+6*a^2*b*c*f^3*x-10*a^2*b*d*e^2*f*n+34*a^2*b*d*e*f^2*x+57*a*b^2*c*e^2*f*n-24*a*b^2*c*e*f^2*x+7*a*b^2*d*e^3*n-56*a*b^2*d*e^2*f*x-26*b^3*c*e^3*n+36*b^3*c*e^2*f*x+12*b^3*d*e^3*x-6*a^3*c*f^3-2*a^3*d*e*f^2+24*a^2*b*c*e*f^2+8*a^2*b*d*e^2*f-36*a*b^2*c*e^2*f-12*a*b^2*d*e^3+24*b^3*c*e^3)/(a^4*f^4*n^4-4*a^3*b*e*f^3*n^4+6*a^2*b^2*e^2*f^2*n^4-4*a*b^3*e^3*f*n^4+b^4*e^4*n^4-10*a^4*f^4*n^3+40*a^3*b*e*f^3*n^3-60*a^2*b^2*e^2*f^2*n^3+40*a*b^3*e^3*f*n^3-10*b^4*e^4*n^3+35*a^4*f^4*n^2-140*a^3*b*e*f^3*n^2+210*a^2*b^2*e^2*f^2*n^2-140*a*b^3*e^3*f*n^2+35*b^4*e^4*n^2-50*a^4*f^4*n+200*a^3*b*e*f^3*n-300*a^2*b^2*e^2*f^2*n+200*a*b^3*e^3*f*n-50*b^4*e^4*n+24*a^4*f^4-96*a^3*b*e*f^3+144*a^2*b^2*e^2*f^2-96*a*b^3*e^3*f+24*b^4*e^4)/((b*x+a)^n)","B"
3059,0,0,121,0.242000," ","int((b*x+a)^m*(f*x+e)^p/((d*x+c)^m),x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{-m} \left(f x +e \right)^{p}\, dx"," ",0,"int((b*x+a)^m*(f*x+e)^p/((d*x+c)^m),x)","F"
3060,0,0,180,0.242000," ","int((5-4*x)^4*(3*x+2)^m/((2*x+1)^m),x)","\int \left(-4 x +5\right)^{4} \left(2 x +1\right)^{-m} \left(3 x +2\right)^{m}\, dx"," ",0,"int((5-4*x)^4*(3*x+2)^m/((2*x+1)^m),x)","F"
3061,0,0,428,0.234000," ","int((b*x+a)^m*(f*x+e)^3/((d*x+c)^m),x)","\int \left(f x +e \right)^{3} \left(b x +a \right)^{m} \left(d x +c \right)^{-m}\, dx"," ",0,"int((b*x+a)^m*(f*x+e)^3/((d*x+c)^m),x)","F"
3062,0,0,246,0.240000," ","int((b*x+a)^m*(f*x+e)^2/((d*x+c)^m),x)","\int \left(f x +e \right)^{2} \left(b x +a \right)^{m} \left(d x +c \right)^{-m}\, dx"," ",0,"int((b*x+a)^m*(f*x+e)^2/((d*x+c)^m),x)","F"
3063,0,0,133,0.232000," ","int((b*x+a)^m*(f*x+e)/((d*x+c)^m),x)","\int \left(f x +e \right) \left(b x +a \right)^{m} \left(d x +c \right)^{-m}\, dx"," ",0,"int((b*x+a)^m*(f*x+e)/((d*x+c)^m),x)","F"
3064,0,0,74,0.225000," ","int((b*x+a)^m/((d*x+c)^m),x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{-m}\, dx"," ",0,"int((b*x+a)^m/((d*x+c)^m),x)","F"
3065,0,0,132,0.239000," ","int((b*x+a)^m/((d*x+c)^m)/(f*x+e),x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m}}{f x +e}\, dx"," ",0,"int((b*x+a)^m/((d*x+c)^m)/(f*x+e),x)","F"
3066,0,0,85,0.238000," ","int((b*x+a)^m/((d*x+c)^m)/(f*x+e)^2,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m}}{\left(f x +e \right)^{2}}\, dx"," ",0,"int((b*x+a)^m/((d*x+c)^m)/(f*x+e)^2,x)","F"
3067,0,0,172,0.238000," ","int((b*x+a)^m/((d*x+c)^m)/(f*x+e)^3,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m}}{\left(f x +e \right)^{3}}\, dx"," ",0,"int((b*x+a)^m/((d*x+c)^m)/(f*x+e)^3,x)","F"
3068,0,0,305,0.237000," ","int((b*x+a)^m/((d*x+c)^m)/(f*x+e)^4,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m}}{\left(f x +e \right)^{4}}\, dx"," ",0,"int((b*x+a)^m/((d*x+c)^m)/(f*x+e)^4,x)","F"
3069,0,0,171,0.227000," ","int((3*x+2)^m/(-4*x+5)^5/((2*x+1)^m),x)","\int \frac{\left(2 x +1\right)^{-m} \left(3 x +2\right)^{m}}{\left(-4 x +5\right)^{5}}\, dx"," ",0,"int((3*x+2)^m/(-4*x+5)^5/((2*x+1)^m),x)","F"
3070,0,0,130,0.240000," ","int((b*x+a)^m*(d*x+c)^(-1-m)*(f*x+e)^p,x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{-m -1} \left(f x +e \right)^{p}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-1-m)*(f*x+e)^p,x)","F"
3071,0,0,136,0.234000," ","int((-4*x+5)^3*(2*x+1)^(-m-1)*(3*x+2)^m,x)","\int \left(-4 x +5\right)^{3} \left(2 x +1\right)^{-m -1} \left(3 x +2\right)^{m}\, dx"," ",0,"int((-4*x+5)^3*(2*x+1)^(-m-1)*(3*x+2)^m,x)","F"
3072,0,0,115,0.230000," ","int((-4*x+5)^2*(2*x+1)^(-m-1)*(3*x+2)^m,x)","\int \left(-4 x +5\right)^{2} \left(2 x +1\right)^{-m -1} \left(3 x +2\right)^{m}\, dx"," ",0,"int((-4*x+5)^2*(2*x+1)^(-m-1)*(3*x+2)^m,x)","F"
3073,0,0,154,0.226000," ","int((b*x+a)^m*(d*x+c)^(-m-1)*(f*x+e),x)","\int \left(f x +e \right) \left(b x +a \right)^{m} \left(d x +c \right)^{-m -1}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-1)*(f*x+e),x)","F"
3074,0,0,77,0.227000," ","int((b*x+a)^m*(d*x+c)^(-m-1),x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{-m -1}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-1),x)","F"
3075,0,0,74,0.239000," ","int((b*x+a)^m*(d*x+c)^(-m-1)/(f*x+e),x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m -1}}{f x +e}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-1)/(f*x+e),x)","F"
3076,0,0,160,0.237000," ","int((b*x+a)^m*(d*x+c)^(-m-1)/(f*x+e)^2,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m -1}}{\left(f x +e \right)^{2}}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-1)/(f*x+e)^2,x)","F"
3077,0,0,279,0.266000," ","int((b*x+a)^m*(d*x+c)^(-m-1)/(f*x+e)^3,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m -1}}{\left(f x +e \right)^{3}}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-1)/(f*x+e)^3,x)","F"
3078,0,0,492,0.279000," ","int((b*x+a)^m*(d*x+c)^(-m-1)/(f*x+e)^4,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m -1}}{\left(f x +e \right)^{4}}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-1)/(f*x+e)^4,x)","F"
3079,0,0,131,0.269000," ","int((b*x+a)^m*(d*x+c)^(-2-m)*(f*x+e)^p,x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{-m -2} \left(f x +e \right)^{p}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-2-m)*(f*x+e)^p,x)","F"
3080,0,0,126,0.234000," ","int((-4*x+5)^3*(2*x+1)^(-m-2)*(3*x+2)^m,x)","\int \left(-4 x +5\right)^{3} \left(2 x +1\right)^{-m -2} \left(3 x +2\right)^{m}\, dx"," ",0,"int((-4*x+5)^3*(2*x+1)^(-m-2)*(3*x+2)^m,x)","F"
3081,0,0,206,0.234000," ","int((b*x+a)^m*(d*x+c)^(-m-2)*(f*x+e)^2,x)","\int \left(f x +e \right)^{2} \left(b x +a \right)^{m} \left(d x +c \right)^{-m -2}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-2)*(f*x+e)^2,x)","F"
3082,0,0,126,0.228000," ","int((b*x+a)^m*(d*x+c)^(-m-2)*(f*x+e),x)","\int \left(f x +e \right) \left(b x +a \right)^{m} \left(d x +c \right)^{-m -2}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-2)*(f*x+e),x)","F"
3083,1,42,36,0.003000," ","int((b*x+a)^m*(d*x+c)^(-m-2),x)","-\frac{\left(b x +a \right)^{m +1} \left(d x +c \right)^{-m -1}}{a d m -b c m +a d -b c}"," ",0,"-(b*x+a)^(m+1)*(d*x+c)^(-m-1)/(a*d*m-b*c*m+a*d-b*c)","A"
3084,0,0,122,0.250000," ","int((b*x+a)^m*(d*x+c)^(-m-2)/(f*x+e),x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m -2}}{f x +e}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-2)/(f*x+e),x)","F"
3085,0,0,235,0.239000," ","int((b*x+a)^m*(d*x+c)^(-m-2)/(f*x+e)^2,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m -2}}{\left(f x +e \right)^{2}}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-2)/(f*x+e)^2,x)","F"
3086,0,0,426,0.241000," ","int((b*x+a)^m*(d*x+c)^(-m-2)/(f*x+e)^3,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m -2}}{\left(f x +e \right)^{3}}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-2)/(f*x+e)^3,x)","F"
3087,0,0,133,0.242000," ","int((b*x+a)^m*(d*x+c)^(-m-3)*(f*x+e)^p,x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{-m -3} \left(f x +e \right)^{p}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-3)*(f*x+e)^p,x)","F"
3088,0,0,177,0.237000," ","int((-4*x+5)^4*(2*x+1)^(-m-3)*(3*x+2)^m,x)","\int \left(-4 x +5\right)^{4} \left(2 x +1\right)^{-m -3} \left(3 x +2\right)^{m}\, dx"," ",0,"int((-4*x+5)^4*(2*x+1)^(-m-3)*(3*x+2)^m,x)","F"
3089,0,0,130,0.231000," ","int((-4*x+5)^3*(2*x+1)^(-m-3)*(3*x+2)^m,x)","\int \left(-4 x +5\right)^{3} \left(2 x +1\right)^{-m -3} \left(3 x +2\right)^{m}\, dx"," ",0,"int((-4*x+5)^3*(2*x+1)^(-m-3)*(3*x+2)^m,x)","F"
3090,0,0,207,0.234000," ","int((b*x+a)^m*(d*x+c)^(-m-3)*(f*x+e)^2,x)","\int \left(f x +e \right)^{2} \left(b x +a \right)^{m} \left(d x +c \right)^{-m -3}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-3)*(f*x+e)^2,x)","F"
3091,1,158,114,0.006000," ","int((b*x+a)^m*(d*x+c)^(-m-3)*(f*x+e),x)","-\frac{\left(a d f m x -b c f m x +a d e m +2 a d f x -b c e m -b c f x -b d e x +a c f +a d e -2 b c e \right) \left(b x +a \right)^{m +1} \left(d x +c \right)^{-m -2}}{a^{2} d^{2} m^{2}-2 a b c d \,m^{2}+b^{2} c^{2} m^{2}+3 a^{2} d^{2} m -6 a b c d m +3 b^{2} c^{2} m +2 a^{2} d^{2}-4 a b c d +2 b^{2} c^{2}}"," ",0,"-(b*x+a)^(m+1)*(d*x+c)^(-m-2)*(a*d*f*m*x-b*c*f*m*x+a*d*e*m+2*a*d*f*x-b*c*e*m-b*c*f*x-b*d*e*x+a*c*f+a*d*e-2*b*c*e)/(a^2*d^2*m^2-2*a*b*c*d*m^2+b^2*c^2*m^2+3*a^2*d^2*m-6*a*b*c*d*m+3*b^2*c^2*m+2*a^2*d^2-4*a*b*c*d+2*b^2*c^2)","A"
3092,1,124,79,0.005000," ","int((b*x+a)^m*(d*x+c)^(-m-3),x)","-\frac{\left(a d m -b c m -b d x +a d -2 b c \right) \left(b x +a \right)^{m +1} \left(d x +c \right)^{-m -2}}{a^{2} d^{2} m^{2}-2 a b c d \,m^{2}+b^{2} c^{2} m^{2}+3 a^{2} d^{2} m -6 a b c d m +3 b^{2} c^{2} m +2 a^{2} d^{2}-4 a b c d +2 b^{2} c^{2}}"," ",0,"-(b*x+a)^(m+1)*(d*x+c)^(-m-2)*(a*d*m-b*c*m-b*d*x+a*d-2*b*c)/(a^2*d^2*m^2-2*a*b*c*d*m^2+b^2*c^2*m^2+3*a^2*d^2*m-6*a*b*c*d*m+3*b^2*c^2*m+2*a^2*d^2-4*a*b*c*d+2*b^2*c^2)","A"
3093,0,0,198,0.265000," ","int((b*x+a)^m*(d*x+c)^(-m-3)/(f*x+e),x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m -3}}{f x +e}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-3)/(f*x+e),x)","F"
3094,0,0,386,0.242000," ","int((b*x+a)^m*(d*x+c)^(-m-3)/(f*x+e)^2,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m -3}}{\left(f x +e \right)^{2}}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-3)/(f*x+e)^2,x)","F"
3095,0,0,133,0.240000," ","int((b*x+a)^m*(d*x+c)^(-4-m)*(f*x+e)^p,x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{-m -4} \left(f x +e \right)^{p}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-4-m)*(f*x+e)^p,x)","F"
3096,0,0,317,0.233000," ","int((-4*x+5)^4*(2*x+1)^(-m-4)*(3*x+2)^m,x)","\int \left(-4 x +5\right)^{4} \left(2 x +1\right)^{-m -4} \left(3 x +2\right)^{m}\, dx"," ",0,"int((-4*x+5)^4*(2*x+1)^(-m-4)*(3*x+2)^m,x)","F"
3097,0,0,408,0.234000," ","int((b*x+a)^m*(d*x+c)^(-m-4)*(f*x+e)^3,x)","\int \left(f x +e \right)^{3} \left(b x +a \right)^{m} \left(d x +c \right)^{-m -4}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-4)*(f*x+e)^3,x)","F"
3098,1,741,353,0.011000," ","int((b*x+a)^m*(d*x+c)^(-m-4)*(f*x+e)^2,x)","-\frac{\left(a^{2} d^{2} f^{2} m^{2} x^{2}-2 a b c d \,f^{2} m^{2} x^{2}+b^{2} c^{2} f^{2} m^{2} x^{2}+2 a^{2} d^{2} e f \,m^{2} x +5 a^{2} d^{2} f^{2} m \,x^{2}-4 a b c d e f \,m^{2} x -8 a b c d \,f^{2} m \,x^{2}-2 a b \,d^{2} e f m \,x^{2}+2 b^{2} c^{2} e f \,m^{2} x +3 b^{2} c^{2} f^{2} m \,x^{2}+2 b^{2} c d e f m \,x^{2}+2 a^{2} c d \,f^{2} m x +a^{2} d^{2} e^{2} m^{2}+8 a^{2} d^{2} e f m x +6 a^{2} d^{2} f^{2} x^{2}-2 a b \,c^{2} f^{2} m x -2 a b c d \,e^{2} m^{2}-16 a b c d e f m x -6 a b c d \,f^{2} x^{2}-2 a b \,d^{2} e^{2} m x -6 a b \,d^{2} e f \,x^{2}+b^{2} c^{2} e^{2} m^{2}+8 b^{2} c^{2} e f m x +2 b^{2} c^{2} f^{2} x^{2}+2 b^{2} c d \,e^{2} m x +2 b^{2} c d e f \,x^{2}+2 b^{2} d^{2} e^{2} x^{2}+2 a^{2} c d e f m +6 a^{2} c d \,f^{2} x +3 a^{2} d^{2} e^{2} m +6 a^{2} d^{2} e f x -2 a b \,c^{2} e f m -2 a b \,c^{2} f^{2} x -8 a b c d \,e^{2} m -20 a b c d e f x -2 a b \,d^{2} e^{2} x +5 b^{2} c^{2} e^{2} m +6 b^{2} c^{2} e f x +6 b^{2} c d \,e^{2} x +2 a^{2} c^{2} f^{2}+2 a^{2} c d e f +2 a^{2} d^{2} e^{2}-6 a b \,c^{2} e f -6 a b c d \,e^{2}+6 b^{2} c^{2} e^{2}\right) \left(b x +a \right)^{m +1} \left(d x +c \right)^{-m -3}}{a^{3} d^{3} m^{3}-3 a^{2} b c \,d^{2} m^{3}+3 a \,b^{2} c^{2} d \,m^{3}-b^{3} c^{3} m^{3}+6 a^{3} d^{3} m^{2}-18 a^{2} b c \,d^{2} m^{2}+18 a \,b^{2} c^{2} d \,m^{2}-6 b^{3} c^{3} m^{2}+11 a^{3} d^{3} m -33 a^{2} b c \,d^{2} m +33 a \,b^{2} c^{2} d m -11 b^{3} c^{3} m +6 a^{3} d^{3}-18 a^{2} b c \,d^{2}+18 a \,b^{2} c^{2} d -6 b^{3} c^{3}}"," ",0,"-(b*x+a)^(m+1)*(d*x+c)^(-m-3)*(a^2*d^2*f^2*m^2*x^2-2*a*b*c*d*f^2*m^2*x^2+b^2*c^2*f^2*m^2*x^2+2*a^2*d^2*e*f*m^2*x+5*a^2*d^2*f^2*m*x^2-4*a*b*c*d*e*f*m^2*x-8*a*b*c*d*f^2*m*x^2-2*a*b*d^2*e*f*m*x^2+2*b^2*c^2*e*f*m^2*x+3*b^2*c^2*f^2*m*x^2+2*b^2*c*d*e*f*m*x^2+2*a^2*c*d*f^2*m*x+a^2*d^2*e^2*m^2+8*a^2*d^2*e*f*m*x+6*a^2*d^2*f^2*x^2-2*a*b*c^2*f^2*m*x-2*a*b*c*d*e^2*m^2-16*a*b*c*d*e*f*m*x-6*a*b*c*d*f^2*x^2-2*a*b*d^2*e^2*m*x-6*a*b*d^2*e*f*x^2+b^2*c^2*e^2*m^2+8*b^2*c^2*e*f*m*x+2*b^2*c^2*f^2*x^2+2*b^2*c*d*e^2*m*x+2*b^2*c*d*e*f*x^2+2*b^2*d^2*e^2*x^2+2*a^2*c*d*e*f*m+6*a^2*c*d*f^2*x+3*a^2*d^2*e^2*m+6*a^2*d^2*e*f*x-2*a*b*c^2*e*f*m-2*a*b*c^2*f^2*x-8*a*b*c*d*e^2*m-20*a*b*c*d*e*f*x-2*a*b*d^2*e^2*x+5*b^2*c^2*e^2*m+6*b^2*c^2*e*f*x+6*b^2*c*d*e^2*x+2*a^2*c^2*f^2+2*a^2*c*d*e*f+2*a^2*d^2*e^2-6*a*b*c^2*e*f-6*a*b*c*d*e^2+6*b^2*c^2*e^2)/(a^3*d^3*m^3-3*a^2*b*c*d^2*m^3+3*a*b^2*c^2*d*m^3-b^3*c^3*m^3+6*a^3*d^3*m^2-18*a^2*b*c*d^2*m^2+18*a*b^2*c^2*d*m^2-6*b^3*c^3*m^2+11*a^3*d^3*m-33*a^2*b*c*d^2*m+33*a*b^2*c^2*d*m-11*b^3*c^3*m+6*a^3*d^3-18*a^2*b*c*d^2+18*a*b^2*c^2*d-6*b^3*c^3)","B"
3099,1,503,188,0.010000," ","int((b*x+a)^m*(d*x+c)^(-m-4)*(f*x+e),x)","-\frac{\left(a^{2} d^{2} f \,m^{2} x -2 a b c d f \,m^{2} x -a b \,d^{2} f m \,x^{2}+b^{2} c^{2} f \,m^{2} x +b^{2} c d f m \,x^{2}+a^{2} d^{2} e \,m^{2}+4 a^{2} d^{2} f m x -2 a b c d e \,m^{2}-8 a b c d f m x -2 a b \,d^{2} e m x -3 a b \,d^{2} f \,x^{2}+b^{2} c^{2} e \,m^{2}+4 b^{2} c^{2} f m x +2 b^{2} c d e m x +b^{2} c d f \,x^{2}+2 b^{2} d^{2} e \,x^{2}+a^{2} c d f m +3 a^{2} d^{2} e m +3 a^{2} d^{2} f x -a b \,c^{2} f m -8 a b c d e m -10 a b c d f x -2 a b \,d^{2} e x +5 b^{2} c^{2} e m +3 b^{2} c^{2} f x +6 b^{2} c d e x +a^{2} c d f +2 a^{2} d^{2} e -3 a b \,c^{2} f -6 a b c d e +6 b^{2} c^{2} e \right) \left(b x +a \right)^{m +1} \left(d x +c \right)^{-m -3}}{a^{3} d^{3} m^{3}-3 a^{2} b c \,d^{2} m^{3}+3 a \,b^{2} c^{2} d \,m^{3}-b^{3} c^{3} m^{3}+6 a^{3} d^{3} m^{2}-18 a^{2} b c \,d^{2} m^{2}+18 a \,b^{2} c^{2} d \,m^{2}-6 b^{3} c^{3} m^{2}+11 a^{3} d^{3} m -33 a^{2} b c \,d^{2} m +33 a \,b^{2} c^{2} d m -11 b^{3} c^{3} m +6 a^{3} d^{3}-18 a^{2} b c \,d^{2}+18 a \,b^{2} c^{2} d -6 b^{3} c^{3}}"," ",0,"-(b*x+a)^(m+1)*(d*x+c)^(-m-3)*(a^2*d^2*f*m^2*x-2*a*b*c*d*f*m^2*x-a*b*d^2*f*m*x^2+b^2*c^2*f*m^2*x+b^2*c*d*f*m*x^2+a^2*d^2*e*m^2+4*a^2*d^2*f*m*x-2*a*b*c*d*e*m^2-8*a*b*c*d*f*m*x-2*a*b*d^2*e*m*x-3*a*b*d^2*f*x^2+b^2*c^2*e*m^2+4*b^2*c^2*f*m*x+2*b^2*c*d*e*m*x+b^2*c*d*f*x^2+2*b^2*d^2*e*x^2+a^2*c*d*f*m+3*a^2*d^2*e*m+3*a^2*d^2*f*x-a*b*c^2*f*m-8*a*b*c*d*e*m-10*a*b*c*d*f*x-2*a*b*d^2*e*x+5*b^2*c^2*e*m+3*b^2*c^2*f*x+6*b^2*c*d*e*x+a^2*c*d*f+2*a^2*d^2*e-3*a*b*c^2*f-6*a*b*c*d*e+6*b^2*c^2*e)/(a^3*d^3*m^3-3*a^2*b*c*d^2*m^3+3*a*b^2*c^2*d*m^3-b^3*c^3*m^3+6*a^3*d^3*m^2-18*a^2*b*c*d^2*m^2+18*a*b^2*c^2*d*m^2-6*b^3*c^3*m^2+11*a^3*d^3*m-33*a^2*b*c*d^2*m+33*a*b^2*c^2*d*m-11*b^3*c^3*m+6*a^3*d^3-18*a^2*b*c*d^2+18*a*b^2*c^2*d-6*b^3*c^3)","B"
3100,1,319,130,0.006000," ","int((b*x+a)^m*(d*x+c)^(-m-4),x)","-\frac{\left(a^{2} d^{2} m^{2}-2 a b c d \,m^{2}-2 a b \,d^{2} m x +b^{2} c^{2} m^{2}+2 b^{2} c d m x +2 b^{2} d^{2} x^{2}+3 a^{2} d^{2} m -8 a b c d m -2 a b \,d^{2} x +5 b^{2} c^{2} m +6 b^{2} c d x +2 a^{2} d^{2}-6 a b c d +6 b^{2} c^{2}\right) \left(b x +a \right)^{m +1} \left(d x +c \right)^{-m -3}}{a^{3} d^{3} m^{3}-3 a^{2} b c \,d^{2} m^{3}+3 a \,b^{2} c^{2} d \,m^{3}-b^{3} c^{3} m^{3}+6 a^{3} d^{3} m^{2}-18 a^{2} b c \,d^{2} m^{2}+18 a \,b^{2} c^{2} d \,m^{2}-6 b^{3} c^{3} m^{2}+11 a^{3} d^{3} m -33 a^{2} b c \,d^{2} m +33 a \,b^{2} c^{2} d m -11 b^{3} c^{3} m +6 a^{3} d^{3}-18 a^{2} b c \,d^{2}+18 a \,b^{2} c^{2} d -6 b^{3} c^{3}}"," ",0,"-(b*x+a)^(m+1)*(d*x+c)^(-m-3)*(a^2*d^2*m^2-2*a*b*c*d*m^2-2*a*b*d^2*m*x+b^2*c^2*m^2+2*b^2*c*d*m*x+2*b^2*d^2*x^2+3*a^2*d^2*m-8*a*b*c*d*m-2*a*b*d^2*x+5*b^2*c^2*m+6*b^2*c*d*x+2*a^2*d^2-6*a*b*c*d+6*b^2*c^2)/(a^3*d^3*m^3-3*a^2*b*c*d^2*m^3+3*a*b^2*c^2*d*m^3-b^3*c^3*m^3+6*a^3*d^3*m^2-18*a^2*b*c*d^2*m^2+18*a*b^2*c^2*d*m^2-6*b^3*c^3*m^2+11*a^3*d^3*m-33*a^2*b*c*d^2*m+33*a*b^2*c^2*d*m-11*b^3*c^3*m+6*a^3*d^3-18*a^2*b*c*d^2+18*a*b^2*c^2*d-6*b^3*c^3)","B"
3101,0,0,332,0.239000," ","int((b*x+a)^m*(d*x+c)^(-m-4)/(f*x+e),x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m -4}}{f x +e}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-4)/(f*x+e),x)","F"
3102,0,0,636,0.238000," ","int((b*x+a)^m*(d*x+c)^(-m-4)/(f*x+e)^2,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m -4}}{\left(f x +e \right)^{2}}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-4)/(f*x+e)^2,x)","F"
3103,0,0,133,0.240000," ","int((b*x+a)^m*(d*x+c)^(-5-m)*(f*x+e)^p,x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{-m -5} \left(f x +e \right)^{p}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-5-m)*(f*x+e)^p,x)","F"
3104,0,0,522,0.236000," ","int((-4*x+5)^5*(2*x+1)^(-m-5)*(3*x+2)^m,x)","\int \left(-4 x +5\right)^{5} \left(2 x +1\right)^{-m -5} \left(3 x +2\right)^{m}\, dx"," ",0,"int((-4*x+5)^5*(2*x+1)^(-m-5)*(3*x+2)^m,x)","F"
3105,0,0,652,0.236000," ","int((b*x+a)^m*(d*x+c)^(-m-5)*(f*x+e)^4,x)","\int \left(f x +e \right)^{4} \left(b x +a \right)^{m} \left(d x +c \right)^{-m -5}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-5)*(f*x+e)^4,x)","F"
3106,1,2481,460,0.015000," ","int((b*x+a)^m*(d*x+c)^(-m-5)*(f*x+e)^3,x)","-\frac{\left(a^{3} d^{3} f^{3} m^{3} x^{3}-3 a^{2} b c \,d^{2} f^{3} m^{3} x^{3}+3 a \,b^{2} c^{2} d \,f^{3} m^{3} x^{3}-b^{3} c^{3} f^{3} m^{3} x^{3}+3 a^{3} d^{3} e \,f^{2} m^{3} x^{2}+9 a^{3} d^{3} f^{3} m^{2} x^{3}-9 a^{2} b c \,d^{2} e \,f^{2} m^{3} x^{2}-24 a^{2} b c \,d^{2} f^{3} m^{2} x^{3}-3 a^{2} b \,d^{3} e \,f^{2} m^{2} x^{3}+9 a \,b^{2} c^{2} d e \,f^{2} m^{3} x^{2}+21 a \,b^{2} c^{2} d \,f^{3} m^{2} x^{3}+6 a \,b^{2} c \,d^{2} e \,f^{2} m^{2} x^{3}-3 b^{3} c^{3} e \,f^{2} m^{3} x^{2}-6 b^{3} c^{3} f^{3} m^{2} x^{3}-3 b^{3} c^{2} d e \,f^{2} m^{2} x^{3}+3 a^{3} c \,d^{2} f^{3} m^{2} x^{2}+3 a^{3} d^{3} e^{2} f \,m^{3} x +24 a^{3} d^{3} e \,f^{2} m^{2} x^{2}+26 a^{3} d^{3} f^{3} m \,x^{3}-6 a^{2} b \,c^{2} d \,f^{3} m^{2} x^{2}-9 a^{2} b c \,d^{2} e^{2} f \,m^{3} x -69 a^{2} b c \,d^{2} e \,f^{2} m^{2} x^{2}-57 a^{2} b c \,d^{2} f^{3} m \,x^{3}-6 a^{2} b \,d^{3} e^{2} f \,m^{2} x^{2}-21 a^{2} b \,d^{3} e \,f^{2} m \,x^{3}+3 a \,b^{2} c^{3} f^{3} m^{2} x^{2}+9 a \,b^{2} c^{2} d \,e^{2} f \,m^{3} x +66 a \,b^{2} c^{2} d e \,f^{2} m^{2} x^{2}+42 a \,b^{2} c^{2} d \,f^{3} m \,x^{3}+12 a \,b^{2} c \,d^{2} e^{2} f \,m^{2} x^{2}+30 a \,b^{2} c \,d^{2} e \,f^{2} m \,x^{3}+6 a \,b^{2} d^{3} e^{2} f m \,x^{3}-3 b^{3} c^{3} e^{2} f \,m^{3} x -21 b^{3} c^{3} e \,f^{2} m^{2} x^{2}-11 b^{3} c^{3} f^{3} m \,x^{3}-6 b^{3} c^{2} d \,e^{2} f \,m^{2} x^{2}-9 b^{3} c^{2} d e \,f^{2} m \,x^{3}-6 b^{3} c \,d^{2} e^{2} f m \,x^{3}+6 a^{3} c \,d^{2} e \,f^{2} m^{2} x +21 a^{3} c \,d^{2} f^{3} m \,x^{2}+a^{3} d^{3} e^{3} m^{3}+21 a^{3} d^{3} e^{2} f \,m^{2} x +57 a^{3} d^{3} e \,f^{2} m \,x^{2}+24 a^{3} d^{3} f^{3} x^{3}-12 a^{2} b \,c^{2} d e \,f^{2} m^{2} x -30 a^{2} b \,c^{2} d \,f^{3} m \,x^{2}-3 a^{2} b c \,d^{2} e^{3} m^{3}-66 a^{2} b c \,d^{2} e^{2} f \,m^{2} x -174 a^{2} b c \,d^{2} e \,f^{2} m \,x^{2}-36 a^{2} b c \,d^{2} f^{3} x^{3}-3 a^{2} b \,d^{3} e^{3} m^{2} x -30 a^{2} b \,d^{3} e^{2} f m \,x^{2}-36 a^{2} b \,d^{3} e \,f^{2} x^{3}+6 a \,b^{2} c^{3} e \,f^{2} m^{2} x +9 a \,b^{2} c^{3} f^{3} m \,x^{2}+3 a \,b^{2} c^{2} d \,e^{3} m^{3}+69 a \,b^{2} c^{2} d \,e^{2} f \,m^{2} x +159 a \,b^{2} c^{2} d e \,f^{2} m \,x^{2}+24 a \,b^{2} c^{2} d \,f^{3} x^{3}+6 a \,b^{2} c \,d^{2} e^{3} m^{2} x +60 a \,b^{2} c \,d^{2} e^{2} f m \,x^{2}+24 a \,b^{2} c \,d^{2} e \,f^{2} x^{3}+6 a \,b^{2} d^{3} e^{3} m \,x^{2}+24 a \,b^{2} d^{3} e^{2} f \,x^{3}-b^{3} c^{3} e^{3} m^{3}-24 b^{3} c^{3} e^{2} f \,m^{2} x -42 b^{3} c^{3} e \,f^{2} m \,x^{2}-6 b^{3} c^{3} f^{3} x^{3}-3 b^{3} c^{2} d \,e^{3} m^{2} x -30 b^{3} c^{2} d \,e^{2} f m \,x^{2}-6 b^{3} c^{2} d e \,f^{2} x^{3}-6 b^{3} c \,d^{2} e^{3} m \,x^{2}-6 b^{3} c \,d^{2} e^{2} f \,x^{3}-6 b^{3} d^{3} e^{3} x^{3}+6 a^{3} c^{2} d \,f^{3} m x +3 a^{3} c \,d^{2} e^{2} f \,m^{2}+30 a^{3} c \,d^{2} e \,f^{2} m x +36 a^{3} c \,d^{2} f^{3} x^{2}+6 a^{3} d^{3} e^{3} m^{2}+42 a^{3} d^{3} e^{2} f m x +36 a^{3} d^{3} e \,f^{2} x^{2}-6 a^{2} b \,c^{3} f^{3} m x -6 a^{2} b \,c^{2} d \,e^{2} f \,m^{2}-60 a^{2} b \,c^{2} d e \,f^{2} m x -24 a^{2} b \,c^{2} d \,f^{3} x^{2}-21 a^{2} b c \,d^{2} e^{3} m^{2}-159 a^{2} b c \,d^{2} e^{2} f m x -168 a^{2} b c \,d^{2} e \,f^{2} x^{2}-9 a^{2} b \,d^{3} e^{3} m x -24 a^{2} b \,d^{3} e^{2} f \,x^{2}+3 a \,b^{2} c^{3} e^{2} f \,m^{2}+30 a \,b^{2} c^{3} e \,f^{2} m x +6 a \,b^{2} c^{3} f^{3} x^{2}+24 a \,b^{2} c^{2} d \,e^{3} m^{2}+174 a \,b^{2} c^{2} d \,e^{2} f m x +102 a \,b^{2} c^{2} d e \,f^{2} x^{2}+30 a \,b^{2} c \,d^{2} e^{3} m x +102 a \,b^{2} c \,d^{2} e^{2} f \,x^{2}+6 a \,b^{2} d^{3} e^{3} x^{2}-9 b^{3} c^{3} e^{3} m^{2}-57 b^{3} c^{3} e^{2} f m x -24 b^{3} c^{3} e \,f^{2} x^{2}-21 b^{3} c^{2} d \,e^{3} m x -24 b^{3} c^{2} d \,e^{2} f \,x^{2}-24 b^{3} c \,d^{2} e^{3} x^{2}+6 a^{3} c^{2} d e \,f^{2} m +24 a^{3} c^{2} d \,f^{3} x +9 a^{3} c \,d^{2} e^{2} f m +24 a^{3} c \,d^{2} e \,f^{2} x +11 a^{3} d^{3} e^{3} m +24 a^{3} d^{3} e^{2} f x -6 a^{2} b \,c^{3} e \,f^{2} m -6 a^{2} b \,c^{3} f^{3} x -30 a^{2} b \,c^{2} d \,e^{2} f m -102 a^{2} b \,c^{2} d e \,f^{2} x -42 a^{2} b c \,d^{2} e^{3} m -102 a^{2} b c \,d^{2} e^{2} f x -6 a^{2} b \,d^{3} e^{3} x +21 a \,b^{2} c^{3} e^{2} f m +24 a \,b^{2} c^{3} e \,f^{2} x +57 a \,b^{2} c^{2} d \,e^{3} m +168 a \,b^{2} c^{2} d \,e^{2} f x +24 a \,b^{2} c \,d^{2} e^{3} x -26 b^{3} c^{3} e^{3} m -36 b^{3} c^{3} e^{2} f x -36 b^{3} c^{2} d \,e^{3} x +6 a^{3} c^{3} f^{3}+6 a^{3} c^{2} d e \,f^{2}+6 a^{3} c \,d^{2} e^{2} f +6 a^{3} d^{3} e^{3}-24 a^{2} b \,c^{3} e \,f^{2}-24 a^{2} b \,c^{2} d \,e^{2} f -24 a^{2} b c \,d^{2} e^{3}+36 a \,b^{2} c^{3} e^{2} f +36 a \,b^{2} c^{2} d \,e^{3}-24 b^{3} c^{3} e^{3}\right) \left(b x +a \right)^{m +1} \left(d x +c \right)^{-m -4}}{a^{4} d^{4} m^{4}-4 a^{3} b c \,d^{3} m^{4}+6 a^{2} b^{2} c^{2} d^{2} m^{4}-4 a \,b^{3} c^{3} d \,m^{4}+b^{4} c^{4} m^{4}+10 a^{4} d^{4} m^{3}-40 a^{3} b c \,d^{3} m^{3}+60 a^{2} b^{2} c^{2} d^{2} m^{3}-40 a \,b^{3} c^{3} d \,m^{3}+10 b^{4} c^{4} m^{3}+35 a^{4} d^{4} m^{2}-140 a^{3} b c \,d^{3} m^{2}+210 a^{2} b^{2} c^{2} d^{2} m^{2}-140 a \,b^{3} c^{3} d \,m^{2}+35 b^{4} c^{4} m^{2}+50 a^{4} d^{4} m -200 a^{3} b c \,d^{3} m +300 a^{2} b^{2} c^{2} d^{2} m -200 a \,b^{3} c^{3} d m +50 b^{4} c^{4} m +24 a^{4} d^{4}-96 a^{3} b c \,d^{3}+144 a^{2} b^{2} c^{2} d^{2}-96 a \,b^{3} c^{3} d +24 b^{4} c^{4}}"," ",0,"-(b*x+a)^(m+1)*(d*x+c)^(-m-4)*(a^3*d^3*f^3*m^3*x^3-3*a^2*b*c*d^2*f^3*m^3*x^3+3*a*b^2*c^2*d*f^3*m^3*x^3-b^3*c^3*f^3*m^3*x^3+3*a^3*d^3*e*f^2*m^3*x^2+9*a^3*d^3*f^3*m^2*x^3-9*a^2*b*c*d^2*e*f^2*m^3*x^2-24*a^2*b*c*d^2*f^3*m^2*x^3-3*a^2*b*d^3*e*f^2*m^2*x^3+9*a*b^2*c^2*d*e*f^2*m^3*x^2+21*a*b^2*c^2*d*f^3*m^2*x^3+6*a*b^2*c*d^2*e*f^2*m^2*x^3-3*b^3*c^3*e*f^2*m^3*x^2-6*b^3*c^3*f^3*m^2*x^3-3*b^3*c^2*d*e*f^2*m^2*x^3+3*a^3*c*d^2*f^3*m^2*x^2+3*a^3*d^3*e^2*f*m^3*x+24*a^3*d^3*e*f^2*m^2*x^2+26*a^3*d^3*f^3*m*x^3-6*a^2*b*c^2*d*f^3*m^2*x^2-9*a^2*b*c*d^2*e^2*f*m^3*x-69*a^2*b*c*d^2*e*f^2*m^2*x^2-57*a^2*b*c*d^2*f^3*m*x^3-6*a^2*b*d^3*e^2*f*m^2*x^2-21*a^2*b*d^3*e*f^2*m*x^3+3*a*b^2*c^3*f^3*m^2*x^2+9*a*b^2*c^2*d*e^2*f*m^3*x+66*a*b^2*c^2*d*e*f^2*m^2*x^2+42*a*b^2*c^2*d*f^3*m*x^3+12*a*b^2*c*d^2*e^2*f*m^2*x^2+30*a*b^2*c*d^2*e*f^2*m*x^3+6*a*b^2*d^3*e^2*f*m*x^3-3*b^3*c^3*e^2*f*m^3*x-21*b^3*c^3*e*f^2*m^2*x^2-11*b^3*c^3*f^3*m*x^3-6*b^3*c^2*d*e^2*f*m^2*x^2-9*b^3*c^2*d*e*f^2*m*x^3-6*b^3*c*d^2*e^2*f*m*x^3+6*a^3*c*d^2*e*f^2*m^2*x+21*a^3*c*d^2*f^3*m*x^2+a^3*d^3*e^3*m^3+21*a^3*d^3*e^2*f*m^2*x+57*a^3*d^3*e*f^2*m*x^2+24*a^3*d^3*f^3*x^3-12*a^2*b*c^2*d*e*f^2*m^2*x-30*a^2*b*c^2*d*f^3*m*x^2-3*a^2*b*c*d^2*e^3*m^3-66*a^2*b*c*d^2*e^2*f*m^2*x-174*a^2*b*c*d^2*e*f^2*m*x^2-36*a^2*b*c*d^2*f^3*x^3-3*a^2*b*d^3*e^3*m^2*x-30*a^2*b*d^3*e^2*f*m*x^2-36*a^2*b*d^3*e*f^2*x^3+6*a*b^2*c^3*e*f^2*m^2*x+9*a*b^2*c^3*f^3*m*x^2+3*a*b^2*c^2*d*e^3*m^3+69*a*b^2*c^2*d*e^2*f*m^2*x+159*a*b^2*c^2*d*e*f^2*m*x^2+24*a*b^2*c^2*d*f^3*x^3+6*a*b^2*c*d^2*e^3*m^2*x+60*a*b^2*c*d^2*e^2*f*m*x^2+24*a*b^2*c*d^2*e*f^2*x^3+6*a*b^2*d^3*e^3*m*x^2+24*a*b^2*d^3*e^2*f*x^3-b^3*c^3*e^3*m^3-24*b^3*c^3*e^2*f*m^2*x-42*b^3*c^3*e*f^2*m*x^2-6*b^3*c^3*f^3*x^3-3*b^3*c^2*d*e^3*m^2*x-30*b^3*c^2*d*e^2*f*m*x^2-6*b^3*c^2*d*e*f^2*x^3-6*b^3*c*d^2*e^3*m*x^2-6*b^3*c*d^2*e^2*f*x^3-6*b^3*d^3*e^3*x^3+6*a^3*c^2*d*f^3*m*x+3*a^3*c*d^2*e^2*f*m^2+30*a^3*c*d^2*e*f^2*m*x+36*a^3*c*d^2*f^3*x^2+6*a^3*d^3*e^3*m^2+42*a^3*d^3*e^2*f*m*x+36*a^3*d^3*e*f^2*x^2-6*a^2*b*c^3*f^3*m*x-6*a^2*b*c^2*d*e^2*f*m^2-60*a^2*b*c^2*d*e*f^2*m*x-24*a^2*b*c^2*d*f^3*x^2-21*a^2*b*c*d^2*e^3*m^2-159*a^2*b*c*d^2*e^2*f*m*x-168*a^2*b*c*d^2*e*f^2*x^2-9*a^2*b*d^3*e^3*m*x-24*a^2*b*d^3*e^2*f*x^2+3*a*b^2*c^3*e^2*f*m^2+30*a*b^2*c^3*e*f^2*m*x+6*a*b^2*c^3*f^3*x^2+24*a*b^2*c^2*d*e^3*m^2+174*a*b^2*c^2*d*e^2*f*m*x+102*a*b^2*c^2*d*e*f^2*x^2+30*a*b^2*c*d^2*e^3*m*x+102*a*b^2*c*d^2*e^2*f*x^2+6*a*b^2*d^3*e^3*x^2-9*b^3*c^3*e^3*m^2-57*b^3*c^3*e^2*f*m*x-24*b^3*c^3*e*f^2*x^2-21*b^3*c^2*d*e^3*m*x-24*b^3*c^2*d*e^2*f*x^2-24*b^3*c*d^2*e^3*x^2+6*a^3*c^2*d*e*f^2*m+24*a^3*c^2*d*f^3*x+9*a^3*c*d^2*e^2*f*m+24*a^3*c*d^2*e*f^2*x+11*a^3*d^3*e^3*m+24*a^3*d^3*e^2*f*x-6*a^2*b*c^3*e*f^2*m-6*a^2*b*c^3*f^3*x-30*a^2*b*c^2*d*e^2*f*m-102*a^2*b*c^2*d*e*f^2*x-42*a^2*b*c*d^2*e^3*m-102*a^2*b*c*d^2*e^2*f*x-6*a^2*b*d^3*e^3*x+21*a*b^2*c^3*e^2*f*m+24*a*b^2*c^3*e*f^2*x+57*a*b^2*c^2*d*e^3*m+168*a*b^2*c^2*d*e^2*f*x+24*a*b^2*c*d^2*e^3*x-26*b^3*c^3*e^3*m-36*b^3*c^3*e^2*f*x-36*b^3*c^2*d*e^3*x+6*a^3*c^3*f^3+6*a^3*c^2*d*e*f^2+6*a^3*c*d^2*e^2*f+6*a^3*d^3*e^3-24*a^2*b*c^3*e*f^2-24*a^2*b*c^2*d*e^2*f-24*a^2*b*c*d^2*e^3+36*a*b^2*c^3*e^2*f+36*a*b^2*c^2*d*e^3-24*b^3*c^3*e^3)/(a^4*d^4*m^4-4*a^3*b*c*d^3*m^4+6*a^2*b^2*c^2*d^2*m^4-4*a*b^3*c^3*d*m^4+b^4*c^4*m^4+10*a^4*d^4*m^3-40*a^3*b*c*d^3*m^3+60*a^2*b^2*c^2*d^2*m^3-40*a*b^3*c^3*d*m^3+10*b^4*c^4*m^3+35*a^4*d^4*m^2-140*a^3*b*c*d^3*m^2+210*a^2*b^2*c^2*d^2*m^2-140*a*b^3*c^3*d*m^2+35*b^4*c^4*m^2+50*a^4*d^4*m-200*a^3*b*c*d^3*m+300*a^2*b^2*c^2*d^2*m-200*a*b^3*c^3*d*m+50*b^4*c^4*m+24*a^4*d^4-96*a^3*b*c*d^3+144*a^2*b^2*c^2*d^2-96*a*b^3*c^3*d+24*b^4*c^4)","B"
3107,1,1884,488,0.015000," ","int((b*x+a)^m*(d*x+c)^(-m-5)*(f*x+e)^2,x)","-\frac{\left(a^{3} d^{3} f^{2} m^{3} x^{2}-3 a^{2} b c \,d^{2} f^{2} m^{3} x^{2}-a^{2} b \,d^{3} f^{2} m^{2} x^{3}+3 a \,b^{2} c^{2} d \,f^{2} m^{3} x^{2}+2 a \,b^{2} c \,d^{2} f^{2} m^{2} x^{3}-b^{3} c^{3} f^{2} m^{3} x^{2}-b^{3} c^{2} d \,f^{2} m^{2} x^{3}+2 a^{3} d^{3} e f \,m^{3} x +8 a^{3} d^{3} f^{2} m^{2} x^{2}-6 a^{2} b c \,d^{2} e f \,m^{3} x -23 a^{2} b c \,d^{2} f^{2} m^{2} x^{2}-4 a^{2} b \,d^{3} e f \,m^{2} x^{2}-7 a^{2} b \,d^{3} f^{2} m \,x^{3}+6 a \,b^{2} c^{2} d e f \,m^{3} x +22 a \,b^{2} c^{2} d \,f^{2} m^{2} x^{2}+8 a \,b^{2} c \,d^{2} e f \,m^{2} x^{2}+10 a \,b^{2} c \,d^{2} f^{2} m \,x^{3}+4 a \,b^{2} d^{3} e f m \,x^{3}-2 b^{3} c^{3} e f \,m^{3} x -7 b^{3} c^{3} f^{2} m^{2} x^{2}-4 b^{3} c^{2} d e f \,m^{2} x^{2}-3 b^{3} c^{2} d \,f^{2} m \,x^{3}-4 b^{3} c \,d^{2} e f m \,x^{3}+2 a^{3} c \,d^{2} f^{2} m^{2} x +a^{3} d^{3} e^{2} m^{3}+14 a^{3} d^{3} e f \,m^{2} x +19 a^{3} d^{3} f^{2} m \,x^{2}-4 a^{2} b \,c^{2} d \,f^{2} m^{2} x -3 a^{2} b c \,d^{2} e^{2} m^{3}-44 a^{2} b c \,d^{2} e f \,m^{2} x -58 a^{2} b c \,d^{2} f^{2} m \,x^{2}-3 a^{2} b \,d^{3} e^{2} m^{2} x -20 a^{2} b \,d^{3} e f m \,x^{2}-12 a^{2} b \,d^{3} f^{2} x^{3}+2 a \,b^{2} c^{3} f^{2} m^{2} x +3 a \,b^{2} c^{2} d \,e^{2} m^{3}+46 a \,b^{2} c^{2} d e f \,m^{2} x +53 a \,b^{2} c^{2} d \,f^{2} m \,x^{2}+6 a \,b^{2} c \,d^{2} e^{2} m^{2} x +40 a \,b^{2} c \,d^{2} e f m \,x^{2}+8 a \,b^{2} c \,d^{2} f^{2} x^{3}+6 a \,b^{2} d^{3} e^{2} m \,x^{2}+16 a \,b^{2} d^{3} e f \,x^{3}-b^{3} c^{3} e^{2} m^{3}-16 b^{3} c^{3} e f \,m^{2} x -14 b^{3} c^{3} f^{2} m \,x^{2}-3 b^{3} c^{2} d \,e^{2} m^{2} x -20 b^{3} c^{2} d e f m \,x^{2}-2 b^{3} c^{2} d \,f^{2} x^{3}-6 b^{3} c \,d^{2} e^{2} m \,x^{2}-4 b^{3} c \,d^{2} e f \,x^{3}-6 b^{3} d^{3} e^{2} x^{3}+2 a^{3} c \,d^{2} e f \,m^{2}+10 a^{3} c \,d^{2} f^{2} m x +6 a^{3} d^{3} e^{2} m^{2}+28 a^{3} d^{3} e f m x +12 a^{3} d^{3} f^{2} x^{2}-4 a^{2} b \,c^{2} d e f \,m^{2}-20 a^{2} b \,c^{2} d \,f^{2} m x -21 a^{2} b c \,d^{2} e^{2} m^{2}-106 a^{2} b c \,d^{2} e f m x -56 a^{2} b c \,d^{2} f^{2} x^{2}-9 a^{2} b \,d^{3} e^{2} m x -16 a^{2} b \,d^{3} e f \,x^{2}+2 a \,b^{2} c^{3} e f \,m^{2}+10 a \,b^{2} c^{3} f^{2} m x +24 a \,b^{2} c^{2} d \,e^{2} m^{2}+116 a \,b^{2} c^{2} d e f m x +34 a \,b^{2} c^{2} d \,f^{2} x^{2}+30 a \,b^{2} c \,d^{2} e^{2} m x +68 a \,b^{2} c \,d^{2} e f \,x^{2}+6 a \,b^{2} d^{3} e^{2} x^{2}-9 b^{3} c^{3} e^{2} m^{2}-38 b^{3} c^{3} e f m x -8 b^{3} c^{3} f^{2} x^{2}-21 b^{3} c^{2} d \,e^{2} m x -16 b^{3} c^{2} d e f \,x^{2}-24 b^{3} c \,d^{2} e^{2} x^{2}+2 a^{3} c^{2} d \,f^{2} m +6 a^{3} c \,d^{2} e f m +8 a^{3} c \,d^{2} f^{2} x +11 a^{3} d^{3} e^{2} m +16 a^{3} d^{3} e f x -2 a^{2} b \,c^{3} f^{2} m -20 a^{2} b \,c^{2} d e f m -34 a^{2} b \,c^{2} d \,f^{2} x -42 a^{2} b c \,d^{2} e^{2} m -68 a^{2} b c \,d^{2} e f x -6 a^{2} b \,d^{3} e^{2} x +14 a \,b^{2} c^{3} e f m +8 a \,b^{2} c^{3} f^{2} x +57 a \,b^{2} c^{2} d \,e^{2} m +112 a \,b^{2} c^{2} d e f x +24 a \,b^{2} c \,d^{2} e^{2} x -26 b^{3} c^{3} e^{2} m -24 b^{3} c^{3} e f x -36 b^{3} c^{2} d \,e^{2} x +2 a^{3} c^{2} d \,f^{2}+4 a^{3} c \,d^{2} e f +6 a^{3} d^{3} e^{2}-8 a^{2} b \,c^{3} f^{2}-16 a^{2} b \,c^{2} d e f -24 a^{2} b c \,d^{2} e^{2}+24 a \,b^{2} c^{3} e f +36 a \,b^{2} c^{2} d \,e^{2}-24 b^{3} c^{3} e^{2}\right) \left(b x +a \right)^{m +1} \left(d x +c \right)^{-m -4}}{a^{4} d^{4} m^{4}-4 a^{3} b c \,d^{3} m^{4}+6 a^{2} b^{2} c^{2} d^{2} m^{4}-4 a \,b^{3} c^{3} d \,m^{4}+b^{4} c^{4} m^{4}+10 a^{4} d^{4} m^{3}-40 a^{3} b c \,d^{3} m^{3}+60 a^{2} b^{2} c^{2} d^{2} m^{3}-40 a \,b^{3} c^{3} d \,m^{3}+10 b^{4} c^{4} m^{3}+35 a^{4} d^{4} m^{2}-140 a^{3} b c \,d^{3} m^{2}+210 a^{2} b^{2} c^{2} d^{2} m^{2}-140 a \,b^{3} c^{3} d \,m^{2}+35 b^{4} c^{4} m^{2}+50 a^{4} d^{4} m -200 a^{3} b c \,d^{3} m +300 a^{2} b^{2} c^{2} d^{2} m -200 a \,b^{3} c^{3} d m +50 b^{4} c^{4} m +24 a^{4} d^{4}-96 a^{3} b c \,d^{3}+144 a^{2} b^{2} c^{2} d^{2}-96 a \,b^{3} c^{3} d +24 b^{4} c^{4}}"," ",0,"-(b*x+a)^(m+1)*(d*x+c)^(-m-4)*(a^3*d^3*f^2*m^3*x^2-3*a^2*b*c*d^2*f^2*m^3*x^2-a^2*b*d^3*f^2*m^2*x^3+3*a*b^2*c^2*d*f^2*m^3*x^2+2*a*b^2*c*d^2*f^2*m^2*x^3-b^3*c^3*f^2*m^3*x^2-b^3*c^2*d*f^2*m^2*x^3+2*a^3*d^3*e*f*m^3*x+8*a^3*d^3*f^2*m^2*x^2-6*a^2*b*c*d^2*e*f*m^3*x-23*a^2*b*c*d^2*f^2*m^2*x^2-4*a^2*b*d^3*e*f*m^2*x^2-7*a^2*b*d^3*f^2*m*x^3+6*a*b^2*c^2*d*e*f*m^3*x+22*a*b^2*c^2*d*f^2*m^2*x^2+8*a*b^2*c*d^2*e*f*m^2*x^2+10*a*b^2*c*d^2*f^2*m*x^3+4*a*b^2*d^3*e*f*m*x^3-2*b^3*c^3*e*f*m^3*x-7*b^3*c^3*f^2*m^2*x^2-4*b^3*c^2*d*e*f*m^2*x^2-3*b^3*c^2*d*f^2*m*x^3-4*b^3*c*d^2*e*f*m*x^3+2*a^3*c*d^2*f^2*m^2*x+a^3*d^3*e^2*m^3+14*a^3*d^3*e*f*m^2*x+19*a^3*d^3*f^2*m*x^2-4*a^2*b*c^2*d*f^2*m^2*x-3*a^2*b*c*d^2*e^2*m^3-44*a^2*b*c*d^2*e*f*m^2*x-58*a^2*b*c*d^2*f^2*m*x^2-3*a^2*b*d^3*e^2*m^2*x-20*a^2*b*d^3*e*f*m*x^2-12*a^2*b*d^3*f^2*x^3+2*a*b^2*c^3*f^2*m^2*x+3*a*b^2*c^2*d*e^2*m^3+46*a*b^2*c^2*d*e*f*m^2*x+53*a*b^2*c^2*d*f^2*m*x^2+6*a*b^2*c*d^2*e^2*m^2*x+40*a*b^2*c*d^2*e*f*m*x^2+8*a*b^2*c*d^2*f^2*x^3+6*a*b^2*d^3*e^2*m*x^2+16*a*b^2*d^3*e*f*x^3-b^3*c^3*e^2*m^3-16*b^3*c^3*e*f*m^2*x-14*b^3*c^3*f^2*m*x^2-3*b^3*c^2*d*e^2*m^2*x-20*b^3*c^2*d*e*f*m*x^2-2*b^3*c^2*d*f^2*x^3-6*b^3*c*d^2*e^2*m*x^2-4*b^3*c*d^2*e*f*x^3-6*b^3*d^3*e^2*x^3+2*a^3*c*d^2*e*f*m^2+10*a^3*c*d^2*f^2*m*x+6*a^3*d^3*e^2*m^2+28*a^3*d^3*e*f*m*x+12*a^3*d^3*f^2*x^2-4*a^2*b*c^2*d*e*f*m^2-20*a^2*b*c^2*d*f^2*m*x-21*a^2*b*c*d^2*e^2*m^2-106*a^2*b*c*d^2*e*f*m*x-56*a^2*b*c*d^2*f^2*x^2-9*a^2*b*d^3*e^2*m*x-16*a^2*b*d^3*e*f*x^2+2*a*b^2*c^3*e*f*m^2+10*a*b^2*c^3*f^2*m*x+24*a*b^2*c^2*d*e^2*m^2+116*a*b^2*c^2*d*e*f*m*x+34*a*b^2*c^2*d*f^2*x^2+30*a*b^2*c*d^2*e^2*m*x+68*a*b^2*c*d^2*e*f*x^2+6*a*b^2*d^3*e^2*x^2-9*b^3*c^3*e^2*m^2-38*b^3*c^3*e*f*m*x-8*b^3*c^3*f^2*x^2-21*b^3*c^2*d*e^2*m*x-16*b^3*c^2*d*e*f*x^2-24*b^3*c*d^2*e^2*x^2+2*a^3*c^2*d*f^2*m+6*a^3*c*d^2*e*f*m+8*a^3*c*d^2*f^2*x+11*a^3*d^3*e^2*m+16*a^3*d^3*e*f*x-2*a^2*b*c^3*f^2*m-20*a^2*b*c^2*d*e*f*m-34*a^2*b*c^2*d*f^2*x-42*a^2*b*c*d^2*e^2*m-68*a^2*b*c*d^2*e*f*x-6*a^2*b*d^3*e^2*x+14*a*b^2*c^3*e*f*m+8*a*b^2*c^3*f^2*x+57*a*b^2*c^2*d*e^2*m+112*a*b^2*c^2*d*e*f*x+24*a*b^2*c*d^2*e^2*x-26*b^3*c^3*e^2*m-24*b^3*c^3*e*f*x-36*b^3*c^2*d*e^2*x+2*a^3*c^2*d*f^2+4*a^3*c*d^2*e*f+6*a^3*d^3*e^2-8*a^2*b*c^3*f^2-16*a^2*b*c^2*d*e*f-24*a^2*b*c*d^2*e^2+24*a*b^2*c^3*e*f+36*a*b^2*c^2*d*e^2-24*b^3*c^3*e^2)/(a^4*d^4*m^4-4*a^3*b*c*d^3*m^4+6*a^2*b^2*c^2*d^2*m^4-4*a*b^3*c^3*d*m^4+b^4*c^4*m^4+10*a^4*d^4*m^3-40*a^3*b*c*d^3*m^3+60*a^2*b^2*c^2*d^2*m^3-40*a*b^3*c^3*d*m^3+10*b^4*c^4*m^3+35*a^4*d^4*m^2-140*a^3*b*c*d^3*m^2+210*a^2*b^2*c^2*d^2*m^2-140*a*b^3*c^3*d*m^2+35*b^4*c^4*m^2+50*a^4*d^4*m-200*a^3*b*c*d^3*m+300*a^2*b^2*c^2*d^2*m-200*a*b^3*c^3*d*m+50*b^4*c^4*m+24*a^4*d^4-96*a^3*b*c*d^3+144*a^2*b^2*c^2*d^2-96*a*b^3*c^3*d+24*b^4*c^4)","B"
3108,1,1184,268,0.010000," ","int((b*x+a)^m*(d*x+c)^(-m-5)*(f*x+e),x)","-\frac{\left(a^{3} d^{3} f \,m^{3} x -3 a^{2} b c \,d^{2} f \,m^{3} x -2 a^{2} b \,d^{3} f \,m^{2} x^{2}+3 a \,b^{2} c^{2} d f \,m^{3} x +4 a \,b^{2} c \,d^{2} f \,m^{2} x^{2}+2 a \,b^{2} d^{3} f m \,x^{3}-b^{3} c^{3} f \,m^{3} x -2 b^{3} c^{2} d f \,m^{2} x^{2}-2 b^{3} c \,d^{2} f m \,x^{3}+a^{3} d^{3} e \,m^{3}+7 a^{3} d^{3} f \,m^{2} x -3 a^{2} b c \,d^{2} e \,m^{3}-22 a^{2} b c \,d^{2} f \,m^{2} x -3 a^{2} b \,d^{3} e \,m^{2} x -10 a^{2} b \,d^{3} f m \,x^{2}+3 a \,b^{2} c^{2} d e \,m^{3}+23 a \,b^{2} c^{2} d f \,m^{2} x +6 a \,b^{2} c \,d^{2} e \,m^{2} x +20 a \,b^{2} c \,d^{2} f m \,x^{2}+6 a \,b^{2} d^{3} e m \,x^{2}+8 a \,b^{2} d^{3} f \,x^{3}-b^{3} c^{3} e \,m^{3}-8 b^{3} c^{3} f \,m^{2} x -3 b^{3} c^{2} d e \,m^{2} x -10 b^{3} c^{2} d f m \,x^{2}-6 b^{3} c \,d^{2} e m \,x^{2}-2 b^{3} c \,d^{2} f \,x^{3}-6 b^{3} d^{3} e \,x^{3}+a^{3} c \,d^{2} f \,m^{2}+6 a^{3} d^{3} e \,m^{2}+14 a^{3} d^{3} f m x -2 a^{2} b \,c^{2} d f \,m^{2}-21 a^{2} b c \,d^{2} e \,m^{2}-53 a^{2} b c \,d^{2} f m x -9 a^{2} b \,d^{3} e m x -8 a^{2} b \,d^{3} f \,x^{2}+a \,b^{2} c^{3} f \,m^{2}+24 a \,b^{2} c^{2} d e \,m^{2}+58 a \,b^{2} c^{2} d f m x +30 a \,b^{2} c \,d^{2} e m x +34 a \,b^{2} c \,d^{2} f \,x^{2}+6 a \,b^{2} d^{3} e \,x^{2}-9 b^{3} c^{3} e \,m^{2}-19 b^{3} c^{3} f m x -21 b^{3} c^{2} d e m x -8 b^{3} c^{2} d f \,x^{2}-24 b^{3} c \,d^{2} e \,x^{2}+3 a^{3} c \,d^{2} f m +11 a^{3} d^{3} e m +8 a^{3} d^{3} f x -10 a^{2} b \,c^{2} d f m -42 a^{2} b c \,d^{2} e m -34 a^{2} b c \,d^{2} f x -6 a^{2} b \,d^{3} e x +7 a \,b^{2} c^{3} f m +57 a \,b^{2} c^{2} d e m +56 a \,b^{2} c^{2} d f x +24 a \,b^{2} c \,d^{2} e x -26 b^{3} c^{3} e m -12 b^{3} c^{3} f x -36 b^{3} c^{2} d e x +2 a^{3} c \,d^{2} f +6 a^{3} d^{3} e -8 a^{2} b \,c^{2} d f -24 a^{2} b c \,d^{2} e +12 a \,b^{2} c^{3} f +36 a \,b^{2} c^{2} d e -24 b^{3} c^{3} e \right) \left(b x +a \right)^{m +1} \left(d x +c \right)^{-m -4}}{a^{4} d^{4} m^{4}-4 a^{3} b c \,d^{3} m^{4}+6 a^{2} b^{2} c^{2} d^{2} m^{4}-4 a \,b^{3} c^{3} d \,m^{4}+b^{4} c^{4} m^{4}+10 a^{4} d^{4} m^{3}-40 a^{3} b c \,d^{3} m^{3}+60 a^{2} b^{2} c^{2} d^{2} m^{3}-40 a \,b^{3} c^{3} d \,m^{3}+10 b^{4} c^{4} m^{3}+35 a^{4} d^{4} m^{2}-140 a^{3} b c \,d^{3} m^{2}+210 a^{2} b^{2} c^{2} d^{2} m^{2}-140 a \,b^{3} c^{3} d \,m^{2}+35 b^{4} c^{4} m^{2}+50 a^{4} d^{4} m -200 a^{3} b c \,d^{3} m +300 a^{2} b^{2} c^{2} d^{2} m -200 a \,b^{3} c^{3} d m +50 b^{4} c^{4} m +24 a^{4} d^{4}-96 a^{3} b c \,d^{3}+144 a^{2} b^{2} c^{2} d^{2}-96 a \,b^{3} c^{3} d +24 b^{4} c^{4}}"," ",0,"-(b*x+a)^(m+1)*(d*x+c)^(-m-4)*(a^3*d^3*f*m^3*x-3*a^2*b*c*d^2*f*m^3*x-2*a^2*b*d^3*f*m^2*x^2+3*a*b^2*c^2*d*f*m^3*x+4*a*b^2*c*d^2*f*m^2*x^2+2*a*b^2*d^3*f*m*x^3-b^3*c^3*f*m^3*x-2*b^3*c^2*d*f*m^2*x^2-2*b^3*c*d^2*f*m*x^3+a^3*d^3*e*m^3+7*a^3*d^3*f*m^2*x-3*a^2*b*c*d^2*e*m^3-22*a^2*b*c*d^2*f*m^2*x-3*a^2*b*d^3*e*m^2*x-10*a^2*b*d^3*f*m*x^2+3*a*b^2*c^2*d*e*m^3+23*a*b^2*c^2*d*f*m^2*x+6*a*b^2*c*d^2*e*m^2*x+20*a*b^2*c*d^2*f*m*x^2+6*a*b^2*d^3*e*m*x^2+8*a*b^2*d^3*f*x^3-b^3*c^3*e*m^3-8*b^3*c^3*f*m^2*x-3*b^3*c^2*d*e*m^2*x-10*b^3*c^2*d*f*m*x^2-6*b^3*c*d^2*e*m*x^2-2*b^3*c*d^2*f*x^3-6*b^3*d^3*e*x^3+a^3*c*d^2*f*m^2+6*a^3*d^3*e*m^2+14*a^3*d^3*f*m*x-2*a^2*b*c^2*d*f*m^2-21*a^2*b*c*d^2*e*m^2-53*a^2*b*c*d^2*f*m*x-9*a^2*b*d^3*e*m*x-8*a^2*b*d^3*f*x^2+a*b^2*c^3*f*m^2+24*a*b^2*c^2*d*e*m^2+58*a*b^2*c^2*d*f*m*x+30*a*b^2*c*d^2*e*m*x+34*a*b^2*c*d^2*f*x^2+6*a*b^2*d^3*e*x^2-9*b^3*c^3*e*m^2-19*b^3*c^3*f*m*x-21*b^3*c^2*d*e*m*x-8*b^3*c^2*d*f*x^2-24*b^3*c*d^2*e*x^2+3*a^3*c*d^2*f*m+11*a^3*d^3*e*m+8*a^3*d^3*f*x-10*a^2*b*c^2*d*f*m-42*a^2*b*c*d^2*e*m-34*a^2*b*c*d^2*f*x-6*a^2*b*d^3*e*x+7*a*b^2*c^3*f*m+57*a*b^2*c^2*d*e*m+56*a*b^2*c^2*d*f*x+24*a*b^2*c*d^2*e*x-26*b^3*c^3*e*m-12*b^3*c^3*f*x-36*b^3*c^2*d*e*x+2*a^3*c*d^2*f+6*a^3*d^3*e-8*a^2*b*c^2*d*f-24*a^2*b*c*d^2*e+12*a*b^2*c^3*f+36*a*b^2*c^2*d*e-24*b^3*c^3*e)/(a^4*d^4*m^4-4*a^3*b*c*d^3*m^4+6*a^2*b^2*c^2*d^2*m^4-4*a*b^3*c^3*d*m^4+b^4*c^4*m^4+10*a^4*d^4*m^3-40*a^3*b*c*d^3*m^3+60*a^2*b^2*c^2*d^2*m^3-40*a*b^3*c^3*d*m^3+10*b^4*c^4*m^3+35*a^4*d^4*m^2-140*a^3*b*c*d^3*m^2+210*a^2*b^2*c^2*d^2*m^2-140*a*b^3*c^3*d*m^2+35*b^4*c^4*m^2+50*a^4*d^4*m-200*a^3*b*c*d^3*m+300*a^2*b^2*c^2*d^2*m-200*a*b^3*c^3*d*m+50*b^4*c^4*m+24*a^4*d^4-96*a^3*b*c*d^3+144*a^2*b^2*c^2*d^2-96*a*b^3*c^3*d+24*b^4*c^4)","B"
3109,1,662,185,0.010000," ","int((b*x+a)^m*(d*x+c)^(-m-5),x)","-\frac{\left(a^{3} d^{3} m^{3}-3 a^{2} b c \,d^{2} m^{3}-3 a^{2} b \,d^{3} m^{2} x +3 a \,b^{2} c^{2} d \,m^{3}+6 a \,b^{2} c \,d^{2} m^{2} x +6 a \,b^{2} d^{3} m \,x^{2}-b^{3} c^{3} m^{3}-3 b^{3} c^{2} d \,m^{2} x -6 b^{3} c \,d^{2} m \,x^{2}-6 b^{3} d^{3} x^{3}+6 a^{3} d^{3} m^{2}-21 a^{2} b c \,d^{2} m^{2}-9 a^{2} b \,d^{3} m x +24 a \,b^{2} c^{2} d \,m^{2}+30 a \,b^{2} c \,d^{2} m x +6 a \,b^{2} d^{3} x^{2}-9 b^{3} c^{3} m^{2}-21 b^{3} c^{2} d m x -24 b^{3} c \,d^{2} x^{2}+11 a^{3} d^{3} m -42 a^{2} b c \,d^{2} m -6 a^{2} b \,d^{3} x +57 a \,b^{2} c^{2} d m +24 a \,b^{2} c \,d^{2} x -26 b^{3} c^{3} m -36 b^{3} c^{2} d x +6 a^{3} d^{3}-24 a^{2} b c \,d^{2}+36 a \,b^{2} c^{2} d -24 b^{3} c^{3}\right) \left(b x +a \right)^{m +1} \left(d x +c \right)^{-m -4}}{a^{4} d^{4} m^{4}-4 a^{3} b c \,d^{3} m^{4}+6 a^{2} b^{2} c^{2} d^{2} m^{4}-4 a \,b^{3} c^{3} d \,m^{4}+b^{4} c^{4} m^{4}+10 a^{4} d^{4} m^{3}-40 a^{3} b c \,d^{3} m^{3}+60 a^{2} b^{2} c^{2} d^{2} m^{3}-40 a \,b^{3} c^{3} d \,m^{3}+10 b^{4} c^{4} m^{3}+35 a^{4} d^{4} m^{2}-140 a^{3} b c \,d^{3} m^{2}+210 a^{2} b^{2} c^{2} d^{2} m^{2}-140 a \,b^{3} c^{3} d \,m^{2}+35 b^{4} c^{4} m^{2}+50 a^{4} d^{4} m -200 a^{3} b c \,d^{3} m +300 a^{2} b^{2} c^{2} d^{2} m -200 a \,b^{3} c^{3} d m +50 b^{4} c^{4} m +24 a^{4} d^{4}-96 a^{3} b c \,d^{3}+144 a^{2} b^{2} c^{2} d^{2}-96 a \,b^{3} c^{3} d +24 b^{4} c^{4}}"," ",0,"-(b*x+a)^(m+1)*(d*x+c)^(-m-4)*(a^3*d^3*m^3-3*a^2*b*c*d^2*m^3-3*a^2*b*d^3*m^2*x+3*a*b^2*c^2*d*m^3+6*a*b^2*c*d^2*m^2*x+6*a*b^2*d^3*m*x^2-b^3*c^3*m^3-3*b^3*c^2*d*m^2*x-6*b^3*c*d^2*m*x^2-6*b^3*d^3*x^3+6*a^3*d^3*m^2-21*a^2*b*c*d^2*m^2-9*a^2*b*d^3*m*x+24*a*b^2*c^2*d*m^2+30*a*b^2*c*d^2*m*x+6*a*b^2*d^3*x^2-9*b^3*c^3*m^2-21*b^3*c^2*d*m*x-24*b^3*c*d^2*x^2+11*a^3*d^3*m-42*a^2*b*c*d^2*m-6*a^2*b*d^3*x+57*a*b^2*c^2*d*m+24*a*b^2*c*d^2*x-26*b^3*c^3*m-36*b^3*c^2*d*x+6*a^3*d^3-24*a^2*b*c*d^2+36*a*b^2*c^2*d-24*b^3*c^3)/(a^4*d^4*m^4-4*a^3*b*c*d^3*m^4+6*a^2*b^2*c^2*d^2*m^4-4*a*b^3*c^3*d*m^4+b^4*c^4*m^4+10*a^4*d^4*m^3-40*a^3*b*c*d^3*m^3+60*a^2*b^2*c^2*d^2*m^3-40*a*b^3*c^3*d*m^3+10*b^4*c^4*m^3+35*a^4*d^4*m^2-140*a^3*b*c*d^3*m^2+210*a^2*b^2*c^2*d^2*m^2-140*a*b^3*c^3*d*m^2+35*b^4*c^4*m^2+50*a^4*d^4*m-200*a^3*b*c*d^3*m+300*a^2*b^2*c^2*d^2*m-200*a*b^3*c^3*d*m+50*b^4*c^4*m+24*a^4*d^4-96*a^3*b*c*d^3+144*a^2*b^2*c^2*d^2-96*a*b^3*c^3*d+24*b^4*c^4)","B"
3110,0,0,559,0.242000," ","int((b*x+a)^m*(d*x+c)^(-m-5)/(f*x+e),x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m -5}}{f x +e}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-5)/(f*x+e),x)","F"
3111,0,0,131,0.243000," ","int((b*x+a)^m*(d*x+c)^(1-m)*(f*x+e)^p,x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{-m +1} \left(f x +e \right)^{p}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(1-m)*(f*x+e)^p,x)","F"
3112,0,0,441,0.237000," ","int((b*x+a)^m*(d*x+c)^(-m+1)*(f*x+e)^3,x)","\int \left(f x +e \right)^{3} \left(b x +a \right)^{m} \left(d x +c \right)^{-m +1}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+1)*(f*x+e)^3,x)","F"
3113,0,0,256,0.237000," ","int((b*x+a)^m*(d*x+c)^(-m+1)*(f*x+e)^2,x)","\int \left(f x +e \right)^{2} \left(b x +a \right)^{m} \left(d x +c \right)^{-m +1}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+1)*(f*x+e)^2,x)","F"
3114,0,0,143,0.227000," ","int((b*x+a)^m*(d*x+c)^(-m+1)*(f*x+e),x)","\int \left(f x +e \right) \left(b x +a \right)^{m} \left(d x +c \right)^{-m +1}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+1)*(f*x+e),x)","F"
3115,0,0,84,0.232000," ","int((b*x+a)^m*(d*x+c)^(-m+1),x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{-m +1}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+1),x)","F"
3116,0,0,234,0.237000," ","int((b*x+a)^m*(d*x+c)^(-m+1)/(f*x+e),x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m +1}}{f x +e}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+1)/(f*x+e),x)","F"
3117,0,0,194,0.239000," ","int((b*x+a)^m*(d*x+c)^(-m+1)/(f*x+e)^2,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m +1}}{\left(f x +e \right)^{2}}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+1)/(f*x+e)^2,x)","F"
3118,0,0,87,0.243000," ","int((b*x+a)^m*(d*x+c)^(-m+1)/(f*x+e)^3,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m +1}}{\left(f x +e \right)^{3}}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+1)/(f*x+e)^3,x)","F"
3119,0,0,174,0.240000," ","int((b*x+a)^m*(d*x+c)^(-m+1)/(f*x+e)^4,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m +1}}{\left(f x +e \right)^{4}}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+1)/(f*x+e)^4,x)","F"
3120,0,0,307,0.240000," ","int((b*x+a)^m*(d*x+c)^(-m+1)/(f*x+e)^5,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m +1}}{\left(f x +e \right)^{5}}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+1)/(f*x+e)^5,x)","F"
3121,0,0,536,0.434000," ","int((b*x+a)^m*(d*x+c)^(-m+1)/(f*x+e)^6,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m +1}}{\left(f x +e \right)^{6}}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+1)/(f*x+e)^6,x)","F"
3122,0,0,133,0.244000," ","int((b*x+a)^m*(d*x+c)^(2-m)*(f*x+e)^p,x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{-m +2} \left(f x +e \right)^{p}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(2-m)*(f*x+e)^p,x)","F"
3123,0,0,443,0.235000," ","int((b*x+a)^m*(d*x+c)^(-m+2)*(f*x+e)^3,x)","\int \left(f x +e \right)^{3} \left(b x +a \right)^{m} \left(d x +c \right)^{-m +2}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+2)*(f*x+e)^3,x)","F"
3124,0,0,258,0.241000," ","int((b*x+a)^m*(d*x+c)^(-m+2)*(f*x+e)^2,x)","\int \left(f x +e \right)^{2} \left(b x +a \right)^{m} \left(d x +c \right)^{-m +2}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+2)*(f*x+e)^2,x)","F"
3125,0,0,145,0.231000," ","int((b*x+a)^m*(d*x+c)^(-m+2)*(f*x+e),x)","\int \left(f x +e \right) \left(b x +a \right)^{m} \left(d x +c \right)^{-m +2}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+2)*(f*x+e),x)","F"
3126,0,0,86,0.230000," ","int((b*x+a)^m*(d*x+c)^(-m+2),x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{-m +2}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+2),x)","F"
3127,0,0,368,0.247000," ","int((b*x+a)^m*(d*x+c)^(-m+2)/(f*x+e),x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m +2}}{f x +e}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+2)/(f*x+e),x)","F"
3128,0,0,320,0.240000," ","int((b*x+a)^m*(d*x+c)^(-m+2)/(f*x+e)^2,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m +2}}{\left(f x +e \right)^{2}}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+2)/(f*x+e)^2,x)","F"
3129,0,0,360,0.248000," ","int((b*x+a)^m*(d*x+c)^(-m+2)/(f*x+e)^3,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m +2}}{\left(f x +e \right)^{3}}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+2)/(f*x+e)^3,x)","F"
3130,0,0,87,0.245000," ","int((b*x+a)^m*(d*x+c)^(-m+2)/(f*x+e)^4,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m +2}}{\left(f x +e \right)^{4}}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+2)/(f*x+e)^4,x)","F"
3131,0,0,174,0.239000," ","int((b*x+a)^m*(d*x+c)^(-m+2)/(f*x+e)^5,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m +2}}{\left(f x +e \right)^{5}}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+2)/(f*x+e)^5,x)","F"
3132,0,0,307,0.388000," ","int((b*x+a)^m*(d*x+c)^(-m+2)/(f*x+e)^6,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m +2}}{\left(f x +e \right)^{6}}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+2)/(f*x+e)^6,x)","F"
3133,0,0,535,0.712000," ","int((b*x+a)^m*(d*x+c)^(-m+2)/(f*x+e)^7,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m +2}}{\left(f x +e \right)^{7}}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+2)/(f*x+e)^7,x)","F"
3134,0,0,486,0.238000," ","int((b*x+a)^m*(d*x+c)^(3-m)/(f*x+e),x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m +3}}{f x +e}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(3-m)/(f*x+e),x)","F"
3135,0,0,397,0.256000," ","int((b*x+a)^m*(d*x+c)^(-m+3)/(f*x+e)^2,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m +3}}{\left(f x +e \right)^{2}}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+3)/(f*x+e)^2,x)","F"
3136,0,0,451,0.241000," ","int((b*x+a)^m*(d*x+c)^(-m+3)/(f*x+e)^3,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m +3}}{\left(f x +e \right)^{3}}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+3)/(f*x+e)^3,x)","F"
3137,0,0,241,0.251000," ","int((b*x+a)^(-n+1)*(d*x+c)^(n+1)/(2*b*d*x+a*d+b*c),x)","\int \frac{\left(b x +a \right)^{-n +1} \left(d x +c \right)^{n +1}}{2 b d x +a d +b c}\, dx"," ",0,"int((b*x+a)^(-n+1)*(d*x+c)^(n+1)/(2*b*d*x+a*d+b*c),x)","F"
3138,0,0,154,0.302000," ","int((b*x+a)^(-n+1)*(d*x+c)^(n+1)/(2*b*d*x+a*d+b*c)^2,x)","\int \frac{\left(b x +a \right)^{-n +1} \left(d x +c \right)^{n +1}}{\left(2 b d x +a d +b c \right)^{2}}\, dx"," ",0,"int((b*x+a)^(-n+1)*(d*x+c)^(n+1)/(2*b*d*x+a*d+b*c)^2,x)","F"
3139,0,0,226,0.250000," ","int((b*x+a)^(-n+1)*(d*x+c)^(n+1)/(2*b*d*x+a*d+b*c)^3,x)","\int \frac{\left(b x +a \right)^{-n +1} \left(d x +c \right)^{n +1}}{\left(2 b d x +a d +b c \right)^{3}}\, dx"," ",0,"int((b*x+a)^(-n+1)*(d*x+c)^(n+1)/(2*b*d*x+a*d+b*c)^3,x)","F"
3140,0,0,73,0.244000," ","int((b*x+a)^(-n+1)*(d*x+c)^(n+1)/(2*b*d*x+a*d+b*c)^4,x)","\int \frac{\left(b x +a \right)^{-n +1} \left(d x +c \right)^{n +1}}{\left(2 b d x +a d +b c \right)^{4}}\, dx"," ",0,"int((b*x+a)^(-n+1)*(d*x+c)^(n+1)/(2*b*d*x+a*d+b*c)^4,x)","F"
3141,0,0,227,0.244000," ","int((b*x+a)^m*(d*x+c)^(-m+2)/(2*b*d*x+a*d+b*c),x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m +2}}{2 b d x +a d +b c}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+2)/(2*b*d*x+a*d+b*c),x)","F"
3142,0,0,144,0.244000," ","int((b*x+a)^m*(d*x+c)^(-m+2)/(2*b*d*x+a*d+b*c)^2,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m +2}}{\left(2 b d x +a d +b c \right)^{2}}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+2)/(2*b*d*x+a*d+b*c)^2,x)","F"
3143,0,0,257,0.246000," ","int((b*x+a)^m*(d*x+c)^(-m+2)/(2*b*d*x+a*d+b*c)^3,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m +2}}{\left(2 b d x +a d +b c \right)^{3}}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+2)/(2*b*d*x+a*d+b*c)^3,x)","F"
3144,0,0,67,0.244000," ","int((b*x+a)^m*(d*x+c)^(-m+2)/(2*b*d*x+a*d+b*c)^4,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m +2}}{\left(2 b d x +a d +b c \right)^{4}}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+2)/(2*b*d*x+a*d+b*c)^4,x)","F"
3145,0,0,139,0.242000," ","int((b*x+a)^m*(d*x+c)^(-n-m)*(f*x+e)^(n+p),x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{-m -n} \left(f x +e \right)^{n +p}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-n-m)*(f*x+e)^(n+p),x)","F"
3146,0,0,139,0.239000," ","int((b*x+a)^m*(d*x+c)^(-m-n)*(f*x+e)^(n+1),x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{-m -n} \left(f x +e \right)^{n +1}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-n)*(f*x+e)^(n+1),x)","F"
3147,0,0,129,0.243000," ","int((b*x+a)^m*(d*x+c)^(-m-n)*(f*x+e)^n,x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{-m -n} \left(f x +e \right)^{n}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-n)*(f*x+e)^n,x)","F"
3148,0,0,138,0.241000," ","int((b*x+a)^m*(d*x+c)^(-m-n)*(f*x+e)^(n-1),x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{-m -n} \left(f x +e \right)^{n -1}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-n)*(f*x+e)^(n-1),x)","F"
3149,0,0,126,0.240000," ","int((b*x+a)^m*(d*x+c)^(-m-n)*(f*x+e)^(n-2),x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{-m -n} \left(f x +e \right)^{n -2}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-n)*(f*x+e)^(n-2),x)","F"
3150,0,0,239,0.240000," ","int((b*x+a)^m*(d*x+c)^(-m-n)*(f*x+e)^(n-3),x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{-m -n} \left(f x +e \right)^{n -3}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-n)*(f*x+e)^(n-3),x)","F"
3151,0,0,430,0.239000," ","int((b*x+a)^m*(d*x+c)^(-m-n)*(f*x+e)^(n-4),x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{-m -n} \left(f x +e \right)^{n -4}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-n)*(f*x+e)^(n-4),x)","F"
3152,1,198,88,0.009000," ","int((b*x+a)^m*(d*x+c)^n*((a*d*f*m+b*c*f*n+a*d*f+b*c*f)/b/d/(2+m+n)+f*x)^(-3-m-n),x)","\frac{\left(b d x m +b d x n +a d m +b c n +2 b d x +a d +b c \right) \left(\frac{\left(b d x m +b d x n +a d m +b c n +2 b d x +a d +b c \right) f}{\left(m +n +2\right) b d}\right)^{-m -n -3} \left(b x +a \right)^{m +1} \left(d x +c \right)^{n +1}}{a^{2} d^{2} m n -2 a b c d m n +b^{2} c^{2} m n +a^{2} d^{2} m +a^{2} d^{2} n -2 a b c d m -2 a b c d n +b^{2} c^{2} m +b^{2} c^{2} n +a^{2} d^{2}-2 a b c d +b^{2} c^{2}}"," ",0,"(b*x+a)^(m+1)*(d*x+c)^(n+1)*(b*d*m*x+b*d*n*x+a*d*m+b*c*n+2*b*d*x+a*d+b*c)/(a^2*d^2*m*n-2*a*b*c*d*m*n+b^2*c^2*m*n+a^2*d^2*m+a^2*d^2*n-2*a*b*c*d*m-2*a*b*c*d*n+b^2*c^2*m+b^2*c^2*n+a^2*d^2-2*a*b*c*d+b^2*c^2)*(f*(b*d*m*x+b*d*n*x+a*d*m+b*c*n+2*b*d*x+a*d+b*c)/b/d/(2+m+n))^(-3-m-n)","B"
3153,1,162,102,0.006000," ","int((b*x+a)^m*(d*x+c)^(-1-d*(-a*f+b*e)*(m+1)/b/(-c*f+d*e))*(f*x+e)^(-1+(-a*d+b*c)*f*(m+1)/b/(-c*f+d*e)),x)","\frac{b \left(b x +a \right)^{m +1} \left(d x +c \right)^{-\frac{a d f m -b d e m +a d f +b c f -2 b d e}{\left(c f -d e \right) b}+1} \left(f x +e \right)^{\frac{a d f m -b c f m +a d f -2 b c f +b d e}{\left(c f -d e \right) b}+1}}{a^{2} d f m -a b c f m -a b d e m +b^{2} c e m +a^{2} d f -a b c f -a b d e +b^{2} c e}"," ",0,"(f*x+e)^(1+(a*d*f*m-b*c*f*m+a*d*f-2*b*c*f+b*d*e)/b/(c*f-d*e))*(d*x+c)^(1-(a*d*f*m-b*d*e*m+a*d*f+b*c*f-2*b*d*e)/b/(c*f-d*e))*b*(b*x+a)^(m+1)/(a^2*d*f*m-a*b*c*f*m-a*b*d*e*m+b^2*c*e*m+a^2*d*f-a*b*c*f-a*b*d*e+b^2*c*e)","A"
3154,0,0,129,0.273000," ","int((b*x+a)^m*(d*x+c)^n*(f*x+e)^(-m-n),x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{n} \left(f x +e \right)^{-m -n}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^n*(f*x+e)^(-m-n),x)","F"
3155,0,0,137,0.241000," ","int((b*x+a)^m*(d*x+c)^n*(f*x+e)^(-1-m-n),x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{n} \left(f x +e \right)^{-m -n -1}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^n*(f*x+e)^(-1-m-n),x)","F"
3156,0,0,125,0.243000," ","int((b*x+a)^m*(d*x+c)^n*(f*x+e)^(-2-m-n),x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{n} \left(f x +e \right)^{-m -n -2}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^n*(f*x+e)^(-2-m-n),x)","F"
3157,0,0,229,0.243000," ","int((b*x+a)^m*(d*x+c)^n*(f*x+e)^(-m-n-3),x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{n} \left(f x +e \right)^{-m -n -3}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^n*(f*x+e)^(-m-n-3),x)","F"
3158,0,0,404,0.242000," ","int((b*x+a)^m*(d*x+c)^n*(f*x+e)^(-4-m-n),x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{n} \left(f x +e \right)^{-m -n -4}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^n*(f*x+e)^(-4-m-n),x)","F"
3159,0,0,123,0.241000," ","int((b*x+a)^m*(d*x+c)^n*(f*x+e)^p,x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{n} \left(f x +e \right)^{p}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^n*(f*x+e)^p,x)","F"
3160,0,0,261,0.236000," ","int((b*x+a)^m*(d*x+c)^n*(f*x+e)^2,x)","\int \left(f x +e \right)^{2} \left(b x +a \right)^{m} \left(d x +c \right)^{n}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^n*(f*x+e)^2,x)","F"
3161,0,0,133,0.235000," ","int((b*x+a)^m*(d*x+c)^n*(f*x+e),x)","\int \left(f x +e \right) \left(b x +a \right)^{m} \left(d x +c \right)^{n}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^n*(f*x+e),x)","F"
3162,0,0,63,0.002000," ","int((b*x+a)^m*(d*x+c)^n,x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{n}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^n,x)","F"
3163,0,0,100,0.239000," ","int((b*x+a)^m*(d*x+c)^n/(f*x+e),x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{n}}{f x +e}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^n/(f*x+e),x)","F"
3164,0,0,101,0.244000," ","int((b*x+a)^m*(d*x+c)^n/(f*x+e)^2,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{n}}{\left(f x +e \right)^{2}}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^n/(f*x+e)^2,x)","F"
3165,0,0,103,0.240000," ","int((b*x+a)^m*(d*x+c)^n/(f*x+e)^3,x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{n}}{\left(f x +e \right)^{3}}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^n/(f*x+e)^3,x)","F"
3166,0,0,32,0.234000," ","int((4*x+3)^n/(-x+1)^(1/2)/(x+1)^(1/2),x)","\int \frac{\left(4 x +3\right)^{n}}{\sqrt{-x +1}\, \sqrt{x +1}}\, dx"," ",0,"int((4*x+3)^n/(-x+1)^(1/2)/(x+1)^(1/2),x)","F"
3167,0,0,29,0.243000," ","int((3-4*x)^n/(-x+1)^(1/2)/(x+1)^(1/2),x)","\int \frac{\left(-4 x +3\right)^{n}}{\sqrt{-x +1}\, \sqrt{x +1}}\, dx"," ",0,"int((3-4*x)^n/(-x+1)^(1/2)/(x+1)^(1/2),x)","F"
3168,0,0,29,0.249000," ","int((-3+4*x)^n/(-x+1)^(1/2)/(x+1)^(1/2),x)","\int \frac{\left(4 x -3\right)^{n}}{\sqrt{-x +1}\, \sqrt{x +1}}\, dx"," ",0,"int((-3+4*x)^n/(-x+1)^(1/2)/(x+1)^(1/2),x)","F"
3169,0,0,26,0.381000," ","int((-3-4*x)^n/(-x+1)^(1/2)/(x+1)^(1/2),x)","\int \frac{\left(-4 x -3\right)^{n}}{\sqrt{-x +1}\, \sqrt{x +1}}\, dx"," ",0,"int((-3-4*x)^n/(-x+1)^(1/2)/(x+1)^(1/2),x)","F"
3170,0,0,86,0.342000," ","int((b*x+a)^(4/3)/(f*x+e)/(d*x+c)^(1/2),x)","\int \frac{\left(b x +a \right)^{\frac{4}{3}}}{\left(f x +e \right) \sqrt{d x +c}}\, dx"," ",0,"int((b*x+a)^(4/3)/(f*x+e)/(d*x+c)^(1/2),x)","F"
3171,0,0,105,1.182000," ","int((d*x+c)^(2/5)*(f*x+e)^(3/5)/(b*x+a)^(1/2),x)","\int \frac{\left(d x +c \right)^{\frac{2}{5}} \left(f x +e \right)^{\frac{3}{5}}}{\sqrt{b x +a}}\, dx"," ",0,"int((d*x+c)^(2/5)*(f*x+e)^(3/5)/(b*x+a)^(1/2),x)","F"
3172,0,0,109,0.244000," ","int((f*x+e)^n*(b*x+a)^(1/2)/(d*x+c)^(1/2),x)","\int \frac{\sqrt{b x +a}\, \left(f x +e \right)^{n}}{\sqrt{d x +c}}\, dx"," ",0,"int((f*x+e)^n*(b*x+a)^(1/2)/(d*x+c)^(1/2),x)","F"
3173,0,0,109,0.250000," ","int((f*x+e)^n*(d*x+c)^(1/2)/(b*x+a)^(1/2),x)","\int \frac{\sqrt{d x +c}\, \left(f x +e \right)^{n}}{\sqrt{b x +a}}\, dx"," ",0,"int((f*x+e)^n*(d*x+c)^(1/2)/(b*x+a)^(1/2),x)","F"
3174,0,0,116,0.242000," ","int((f*x+e)^n/(d*x+c)^(3/2)/(b*x+a)^(1/2),x)","\int \frac{\left(f x +e \right)^{n}}{\left(d x +c \right)^{\frac{3}{2}} \sqrt{b x +a}}\, dx"," ",0,"int((f*x+e)^n/(d*x+c)^(3/2)/(b*x+a)^(1/2),x)","F"
3175,0,0,109,0.247000," ","int((f*x+e)^n/(b*x+a)^(3/2)/(d*x+c)^(1/2),x)","\int \frac{\left(f x +e \right)^{n}}{\left(b x +a \right)^{\frac{3}{2}} \sqrt{d x +c}}\, dx"," ",0,"int((f*x+e)^n/(b*x+a)^(3/2)/(d*x+c)^(1/2),x)","F"
3176,0,0,86,0.297000," ","int((b*x+a)^(1/2)*(d*x+c)^(1/3)/(f*x+e),x)","\int \frac{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{1}{3}}}{f x +e}\, dx"," ",0,"int((b*x+a)^(1/2)*(d*x+c)^(1/3)/(f*x+e),x)","F"
3177,0,0,86,0.283000," ","int((b*x+a)^(1/3)*(d*x+c)^(1/2)/(f*x+e),x)","\int \frac{\left(b x +a \right)^{\frac{1}{3}} \sqrt{d x +c}}{f x +e}\, dx"," ",0,"int((b*x+a)^(1/3)*(d*x+c)^(1/2)/(f*x+e),x)","F"
3178,0,0,105,4.296000," ","int((b*x+a)^(1/2)*(d*x+c)^(1/3)*(f*x+e)^(1/4),x)","\int \sqrt{b x +a}\, \left(d x +c \right)^{\frac{1}{3}} \left(f x +e \right)^{\frac{1}{4}}\, dx"," ",0,"int((b*x+a)^(1/2)*(d*x+c)^(1/3)*(f*x+e)^(1/4),x)","F"
3179,0,0,105,4.302000," ","int((b*x+a)^(1/3)*(d*x+c)^(1/2)*(f*x+e)^(1/4),x)","\int \left(b x +a \right)^{\frac{1}{3}} \sqrt{d x +c}\, \left(f x +e \right)^{\frac{1}{4}}\, dx"," ",0,"int((b*x+a)^(1/3)*(d*x+c)^(1/2)*(f*x+e)^(1/4),x)","F"
3180,1,2355,234,0.018000," ","int((b*x+a)^4*(B*x+A)*(e*x+d)^m,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 \,b^{4} 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 \,a^{2} b^{2} d^{3} 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"
3181,1,1270,186,0.012000," ","int((b*x+a)^3*(B*x+A)*(e*x+d)^m,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 \,b^{3} 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(e x +d \right)^{m +1}}{\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)/e^5/(m^5+15*m^4+85*m^3+225*m^2+274*m+120)","B"
3182,1,576,138,0.011000," ","int((b*x+a)^2*(B*x+A)*(e*x+d)^m,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^{2} B \,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"
3183,1,189,90,0.006000," ","int((b*x+a)*(B*x+A)*(e*x+d)^m,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 -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}\right) \left(e x +d \right)^{m +1}}{\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)/e^3/(m^3+6*m^2+11*m+6)","B"
3184,1,46,47,0.003000," ","int((B*x+A)*(e*x+d)^m,x)","\frac{\left(B e m x +A e m +B e x +2 A e -B d \right) \left(e x +d \right)^{m +1}}{\left(m^{2}+3 m +2\right) e^{2}}"," ",0,"(e*x+d)^(m+1)*(B*e*m*x+A*e*m+B*e*x+2*A*e-B*d)/e^2/(m^2+3*m+2)","A"
3185,0,0,87,0.242000," ","int((B*x+A)*(e*x+d)^m/(b*x+a),x)","\int \frac{\left(B x +A \right) \left(e x +d \right)^{m}}{b x +a}\, dx"," ",0,"int((B*x+A)*(e*x+d)^m/(b*x+a),x)","F"
3186,0,0,114,0.233000," ","int((B*x+A)*(e*x+d)^m/(b*x+a)^2,x)","\int \frac{\left(B x +A \right) \left(e x +d \right)^{m}}{\left(b x +a \right)^{2}}\, dx"," ",0,"int((B*x+A)*(e*x+d)^m/(b*x+a)^2,x)","F"
3187,1,187,81,0.008000," ","int((-2*x+1)*(3*x+2)^m*(5*x+3)^3,x)","-\frac{\left(6750 m^{4} x^{4}+8775 m^{4} x^{3}+67500 m^{3} x^{4}+1215 m^{4} x^{2}+78525 m^{3} x^{3}+236250 m^{2} x^{4}-2187 m^{4} x -2970 m^{3} x^{2}+251775 m^{2} x^{3}+337500 m \,x^{4}-729 m^{4}-30051 m^{3} x -44865 m^{2} x^{2}+337275 m \,x^{3}+162000 x^{4}-8748 m^{3}-121833 m^{2} x -95580 m \,x^{2}+155250 x^{3}-33183 m^{2}-188589 m x -54900 x^{2}-49620 m -94620 x -24400\right) \left(3 x +2\right)^{m +1}}{81 \left(m^{5}+15 m^{4}+85 m^{3}+225 m^{2}+274 m +120\right)}"," ",0,"-1/81*(3*x+2)^(m+1)*(6750*m^4*x^4+8775*m^4*x^3+67500*m^3*x^4+1215*m^4*x^2+78525*m^3*x^3+236250*m^2*x^4-2187*m^4*x-2970*m^3*x^2+251775*m^2*x^3+337500*m*x^4-729*m^4-30051*m^3*x-44865*m^2*x^2+337275*m*x^3+162000*x^4-8748*m^3-121833*m^2*x-95580*m*x^2+155250*x^3-33183*m^2-188589*m*x-54900*x^2-49620*m-94620*x-24400)/(m^5+15*m^4+85*m^3+225*m^2+274*m+120)","B"
3188,1,120,65,0.006000," ","int((-2*x+1)*(3*x+2)^m*(5*x+3)^2,x)","-\frac{\left(450 m^{3} x^{3}+315 m^{3} x^{2}+2700 m^{2} x^{3}-108 m^{3} x +1305 m^{2} x^{2}+4950 m \,x^{3}-81 m^{3}-1284 m^{2} x +1710 m \,x^{2}+2700 x^{3}-657 m^{2}-2952 m x +720 x^{2}-1322 m -1776 x -760\right) \left(3 x +2\right)^{m +1}}{27 \left(m^{4}+10 m^{3}+35 m^{2}+50 m +24\right)}"," ",0,"-1/27*(3*x+2)^(m+1)*(450*m^3*x^3+315*m^3*x^2+2700*m^2*x^3-108*m^3*x+1305*m^2*x^2+4950*m*x^3-81*m^3-1284*m^2*x+1710*m*x^2+2700*x^3-657*m^2-2952*m*x+720*x^2-1322*m-1776*x-760)/(m^4+10*m^3+35*m^2+50*m+24)","A"
3189,1,69,49,0.004000," ","int((-2*x+1)*(3*x+2)^m*(5*x+3),x)","-\frac{\left(90 m^{2} x^{2}+9 m^{2} x +270 m \,x^{2}-27 m^{2}-84 m x +180 x^{2}-141 m -93 x -100\right) \left(3 x +2\right)^{m +1}}{27 \left(m^{3}+6 m^{2}+11 m +6\right)}"," ",0,"-1/27*(3*x+2)^(m+1)*(90*m^2*x^2+9*m^2*x+270*m*x^2-27*m^2-84*m*x+180*x^2-141*m-93*x-100)/(m^3+6*m^2+11*m+6)","A"
3190,0,0,48,0.227000," ","int((-2*x+1)*(3*x+2)^m/(5*x+3),x)","\int \frac{\left(-2 x +1\right) \left(3 x +2\right)^{m}}{5 x +3}\, dx"," ",0,"int((-2*x+1)*(3*x+2)^m/(5*x+3),x)","F"
3191,0,0,55,0.221000," ","int((-2*x+1)*(3*x+2)^m/(5*x+3)^2,x)","\int \frac{\left(-2 x +1\right) \left(3 x +2\right)^{m}}{\left(5 x +3\right)^{2}}\, dx"," ",0,"int((-2*x+1)*(3*x+2)^m/(5*x+3)^2,x)","F"
3192,0,0,55,0.223000," ","int((-2*x+1)*(3*x+2)^m/(5*x+3)^3,x)","\int \frac{\left(-2 x +1\right) \left(3 x +2\right)^{m}}{\left(5 x +3\right)^{3}}\, dx"," ",0,"int((-2*x+1)*(3*x+2)^m/(5*x+3)^3,x)","F"
3193,0,0,80,0.241000," ","int((3*x+2)^m*(5*x+3)^3/(-2*x+1),x)","\int \frac{\left(5 x +3\right)^{3} \left(3 x +2\right)^{m}}{-2 x +1}\, dx"," ",0,"int((3*x+2)^m*(5*x+3)^3/(-2*x+1),x)","F"
3194,0,0,64,0.239000," ","int((3*x+2)^m*(5*x+3)^2/(-2*x+1),x)","\int \frac{\left(5 x +3\right)^{2} \left(3 x +2\right)^{m}}{-2 x +1}\, dx"," ",0,"int((3*x+2)^m*(5*x+3)^2/(-2*x+1),x)","F"
3195,0,0,48,0.234000," ","int((3*x+2)^m*(5*x+3)/(-2*x+1),x)","\int \frac{\left(5 x +3\right) \left(3 x +2\right)^{m}}{-2 x +1}\, dx"," ",0,"int((3*x+2)^m*(5*x+3)/(-2*x+1),x)","F"
3196,0,0,63,0.238000," ","int((3*x+2)^m/(-2*x+1)/(5*x+3),x)","\int \frac{\left(3 x +2\right)^{m}}{\left(-2 x +1\right) \left(5 x +3\right)}\, dx"," ",0,"int((3*x+2)^m/(-2*x+1)/(5*x+3),x)","F"
3197,0,0,86,0.237000," ","int((3*x+2)^m/(-2*x+1)/(5*x+3)^2,x)","\int \frac{\left(3 x +2\right)^{m}}{\left(-2 x +1\right) \left(5 x +3\right)^{2}}\, dx"," ",0,"int((3*x+2)^m/(-2*x+1)/(5*x+3)^2,x)","F"
3198,0,0,114,0.235000," ","int((3*x+2)^m/(-2*x+1)/(5*x+3)^3,x)","\int \frac{\left(3 x +2\right)^{m}}{\left(-2 x +1\right) \left(5 x +3\right)^{3}}\, dx"," ",0,"int((3*x+2)^m/(-2*x+1)/(5*x+3)^3,x)","F"
3199,0,0,54,0.234000," ","int((b*x+a)^m/(f*x+e)^2,x)","\int \frac{\left(b x +a \right)^{m}}{\left(f x +e \right)^{2}}\, dx"," ",0,"int((b*x+a)^m/(f*x+e)^2,x)","F"
3200,0,0,191,0.242000," ","int((b*x+a)^m/(d*x+c)/(f*x+e)^2,x)","\int \frac{\left(b x +a \right)^{m}}{\left(d x +c \right) \left(f x +e \right)^{2}}\, dx"," ",0,"int((b*x+a)^m/(d*x+c)/(f*x+e)^2,x)","F"
3201,0,0,285,0.308000," ","int((b*x+a)^m/(d*x+c)^2/(f*x+e)^2,x)","\int \frac{\left(b x +a \right)^{m}}{\left(d x +c \right)^{2} \left(f x +e \right)^{2}}\, dx"," ",0,"int((b*x+a)^m/(d*x+c)^2/(f*x+e)^2,x)","F"