1,1,2,1,0.005000," ","int(0,x)","0"," ",0,"0","A"
2,1,2,1,0.002000," ","int(1,x)","x"," ",0,"x","A"
3,1,4,3,0.000000," ","int(5,x)","5 x"," ",0,"5*x","A"
4,1,4,3,0.000000," ","int(-2,x)","-2 x"," ",0,"-2*x","A"
5,1,4,3,0.000000," ","int(-3/2,x)","-\frac{3 x}{2}"," ",0,"-3/2*x","A"
6,1,4,3,0.000000," ","int(Pi,x)","\pi  x"," ",0,"Pi*x","A"
7,1,4,3,0.000000," ","int(a,x)","a x"," ",0,"a*x","A"
8,1,5,4,0.000000," ","int(3*a,x)","3 a x"," ",0,"3*a*x","A"
9,1,12,11,0.000000," ","int(Pi/(16-exp(2))^(1/2),x)","\frac{\pi  x}{\sqrt{16-{\mathrm e}^{2}}}"," ",0,"Pi*x/(16-exp(2))^(1/2)","A"
10,1,6,5,0.001000," ","int(x^100,x)","\frac{x^{101}}{101}"," ",0,"1/101*x^101","A"
11,1,6,5,0.002000," ","int(x^3,x)","\frac{x^{4}}{4}"," ",0,"1/4*x^4","A"
12,1,6,5,0.000000," ","int(x^2,x)","\frac{x^{3}}{3}"," ",0,"1/3*x^3","A"
13,1,6,5,0.001000," ","int(x,x)","\frac{x^{2}}{2}"," ",0,"1/2*x^2","A"
14,1,2,1,0.000000," ","int(1,x)","x"," ",0,"x","A"
15,1,3,2,0.002000," ","int(1/x,x)","\ln \left(x \right)"," ",0,"ln(x)","A"
16,1,6,5,0.000000," ","int(1/x^2,x)","-\frac{1}{x}"," ",0,"-1/x","A"
17,1,6,5,0.001000," ","int(1/x^3,x)","-\frac{1}{2 x^{2}}"," ",0,"-1/2/x^2","A"
18,1,6,5,0.000000," ","int(1/x^4,x)","-\frac{1}{3 x^{3}}"," ",0,"-1/3/x^3","A"
19,1,6,5,0.000000," ","int(1/x^100,x)","-\frac{1}{99 x^{99}}"," ",0,"-1/99/x^99","A"
20,1,6,5,0.017000," ","int(x^(5/2),x)","\frac{2 x^{\frac{7}{2}}}{7}"," ",0,"2/7*x^(7/2)","A"
21,1,6,5,0.002000," ","int(x^(3/2),x)","\frac{2 x^{\frac{5}{2}}}{5}"," ",0,"2/5*x^(5/2)","A"
22,1,6,5,0.002000," ","int(x^(1/2),x)","\frac{2 x^{\frac{3}{2}}}{3}"," ",0,"2/3*x^(3/2)","A"
23,1,6,5,0.003000," ","int(1/x^(1/2),x)","2 \sqrt{x}"," ",0,"2*x^(1/2)","A"
24,1,6,5,0.002000," ","int(1/x^(3/2),x)","-\frac{2}{\sqrt{x}}"," ",0,"-2/x^(1/2)","A"
25,1,6,5,0.001000," ","int(1/x^(5/2),x)","-\frac{2}{3 x^{\frac{3}{2}}}"," ",0,"-2/3/x^(3/2)","A"
26,1,6,5,0.003000," ","int(x^(5/3),x)","\frac{3 x^{\frac{8}{3}}}{8}"," ",0,"3/8*x^(8/3)","A"
27,1,6,5,0.003000," ","int(x^(4/3),x)","\frac{3 x^{\frac{7}{3}}}{7}"," ",0,"3/7*x^(7/3)","A"
28,1,6,5,0.001000," ","int(x^(2/3),x)","\frac{3 x^{\frac{5}{3}}}{5}"," ",0,"3/5*x^(5/3)","A"
29,1,6,5,0.002000," ","int(x^(1/3),x)","\frac{3 x^{\frac{4}{3}}}{4}"," ",0,"3/4*x^(4/3)","A"
30,1,6,5,0.001000," ","int(1/x^(1/3),x)","\frac{3 x^{\frac{2}{3}}}{2}"," ",0,"3/2*x^(2/3)","A"
31,1,6,5,0.002000," ","int(1/x^(2/3),x)","3 x^{\frac{1}{3}}"," ",0,"3*x^(1/3)","A"
32,1,6,5,0.003000," ","int(1/x^(4/3),x)","-\frac{3}{x^{\frac{1}{3}}}"," ",0,"-3/x^(1/3)","A"
33,1,6,5,0.001000," ","int(1/x^(5/3),x)","-\frac{3}{2 x^{\frac{2}{3}}}"," ",0,"-3/2/x^(2/3)","A"
34,1,12,11,0.003000," ","int(x^n,x)","\frac{x^{n +1}}{n +1}"," ",0,"x^(1+n)/(1+n)","A"
35,1,13,16,0.003000," ","int((b*x)^n,x)","\frac{x \left(b x \right)^{n}}{n +1}"," ",0,"x/(n+1)*(b*x)^n","A"
36,1,22,21,0.002000," ","int(1/(e*(d*x+c)+(-a)^(1/2)),x)","\frac{\ln \left(d e x +c e +\sqrt{-a}\right)}{d e}"," ",0,"ln(c*e+d*e*x+(-a)^(1/2))/d/e","A"
37,1,20,19,0.003000," ","int((c+d*(b*x+a))^(5/2),x)","\frac{2 \left(b d x +a d +c \right)^{\frac{7}{2}}}{7 b d}"," ",0,"2/7*(b*d*x+a*d+c)^(7/2)/d/b","A"
38,1,20,19,0.002000," ","int((c+d*(b*x+a))^(3/2),x)","\frac{2 \left(b d x +a d +c \right)^{\frac{5}{2}}}{5 b d}"," ",0,"2/5*(b*d*x+a*d+c)^(5/2)/d/b","A"
39,1,20,19,0.003000," ","int((c+d*(b*x+a))^(1/2),x)","\frac{2 \left(b d x +a d +c \right)^{\frac{3}{2}}}{3 b d}"," ",0,"2/3*(b*d*x+a*d+c)^(3/2)/d/b","A"
40,1,20,19,0.004000," ","int(1/(c+d*(b*x+a))^(1/2),x)","\frac{2 \sqrt{b d x +a d +c}}{b d}"," ",0,"2*(b*d*x+a*d+c)^(1/2)/d/b","A"
41,1,20,19,0.002000," ","int(1/(c+d*(b*x+a))^(3/2),x)","-\frac{2}{\sqrt{b d x +a d +c}\, b d}"," ",0,"-2/(b*d*x+a*d+c)^(1/2)/d/b","A"
42,1,20,19,0.003000," ","int(1/(c+d*(b*x+a))^(5/2),x)","-\frac{2}{3 \left(b d x +a d +c \right)^{\frac{3}{2}} b d}"," ",0,"-2/3/(b*d*x+a*d+c)^(3/2)/d/b","A"
43,1,14,13,0.000000," ","int(x^3*(b*x+a),x)","\frac{1}{5} b \,x^{5}+\frac{1}{4} a \,x^{4}"," ",0,"1/4*a*x^4+1/5*b*x^5","A"
44,1,14,13,0.000000," ","int(x^2*(b*x+a),x)","\frac{1}{4} b \,x^{4}+\frac{1}{3} a \,x^{3}"," ",0,"1/3*a*x^3+1/4*b*x^4","A"
45,1,14,13,0.001000," ","int(x*(b*x+a),x)","\frac{1}{3} b \,x^{3}+\frac{1}{2} a \,x^{2}"," ",0,"1/2*a*x^2+1/3*b*x^3","A"
46,1,11,10,0.002000," ","int(b*x+a,x)","\frac{1}{2} b \,x^{2}+a x"," ",0,"a*x+1/2*b*x^2","A"
47,1,9,8,0.008000," ","int((b*x+a)/x,x)","a \ln \left(x \right)+b x"," ",0,"b*x+a*ln(x)","A"
48,1,12,11,0.018000," ","int((b*x+a)/x^2,x)","b \ln \left(x \right)-\frac{a}{x}"," ",0,"-a/x+b*ln(x)","A"
49,1,14,15,0.005000," ","int((b*x+a)/x^3,x)","-\frac{b}{x}-\frac{a}{2 x^{2}}"," ",0,"-b/x-1/2*a/x^2","A"
50,1,14,13,0.004000," ","int((b*x+a)/x^4,x)","-\frac{b}{2 x^{2}}-\frac{a}{3 x^{3}}"," ",0,"-1/3*a/x^3-1/2*b/x^2","A"
51,1,14,13,0.006000," ","int((b*x+a)/x^5,x)","-\frac{b}{3 x^{3}}-\frac{a}{4 x^{4}}"," ",0,"-1/4*a/x^4-1/3*b/x^3","A"
52,1,25,24,0.002000," ","int(x^3*(b*x+a)^2,x)","\frac{1}{6} b^{2} x^{6}+\frac{2}{5} a b \,x^{5}+\frac{1}{4} a^{2} x^{4}"," ",0,"1/4*a^2*x^4+2/5*a*b*x^5+1/6*b^2*x^6","A"
53,1,25,24,0.000000," ","int(x^2*(b*x+a)^2,x)","\frac{1}{5} b^{2} x^{5}+\frac{1}{2} a b \,x^{4}+\frac{1}{3} a^{2} x^{3}"," ",0,"1/3*a^2*x^3+1/2*a*b*x^4+1/5*b^2*x^5","A"
54,1,25,24,0.002000," ","int(x*(b*x+a)^2,x)","\frac{1}{4} b^{2} x^{4}+\frac{2}{3} a b \,x^{3}+\frac{1}{2} a^{2} x^{2}"," ",0,"1/2*a^2*x^2+2/3*a*b*x^3+1/4*b^2*x^4","A"
55,1,13,12,0.001000," ","int((b*x+a)^2,x)","\frac{\left(b x +a \right)^{3}}{3 b}"," ",0,"1/3*(b*x+a)^3/b","A"
56,1,21,20,0.001000," ","int((b*x+a)^2/x,x)","\frac{b^{2} x^{2}}{2}+a^{2} \ln \left(x \right)+2 a b x"," ",0,"2*a*b*x+1/2*b^2*x^2+a^2*ln(x)","A"
57,1,21,20,0.006000," ","int((b*x+a)^2/x^2,x)","2 a b \ln \left(x \right)+b^{2} x -\frac{a^{2}}{x}"," ",0,"-a^2/x+b^2*x+2*a*b*ln(x)","A"
58,1,23,22,0.007000," ","int((b*x+a)^2/x^3,x)","b^{2} \ln \left(x \right)-\frac{2 a b}{x}-\frac{a^{2}}{2 x^{2}}"," ",0,"-1/2*a^2/x^2-2*a*b/x+b^2*ln(x)","A"
59,1,25,15,0.006000," ","int((b*x+a)^2/x^4,x)","-\frac{b^{2}}{x}-\frac{a b}{x^{2}}-\frac{a^{2}}{3 x^{3}}"," ",0,"-a*b/x^2-b^2/x-1/3*a^2/x^3","A"
60,1,25,24,0.005000," ","int((b*x+a)^2/x^5,x)","-\frac{b^{2}}{2 x^{2}}-\frac{2 a b}{3 x^{3}}-\frac{a^{2}}{4 x^{4}}"," ",0,"-1/4*a^2/x^4-2/3*a*b/x^3-1/2*b^2/x^2","A"
61,1,25,24,0.005000," ","int((b*x+a)^2/x^6,x)","-\frac{b^{2}}{3 x^{3}}-\frac{a b}{2 x^{4}}-\frac{a^{2}}{5 x^{5}}"," ",0,"-1/5*a^2/x^5-1/2*a*b/x^4-1/3*b^2/x^3","A"
62,1,25,24,0.005000," ","int((b*x+a)^2/x^7,x)","-\frac{b^{2}}{4 x^{4}}-\frac{2 a b}{5 x^{5}}-\frac{a^{2}}{6 x^{6}}"," ",0,"-1/6*a^2/x^6-2/5*a*b/x^5-1/4*b^2/x^4","A"
63,1,25,24,0.006000," ","int((b*x+a)^2/x^8,x)","-\frac{b^{2}}{5 x^{5}}-\frac{a b}{3 x^{6}}-\frac{a^{2}}{7 x^{7}}"," ",0,"-1/7*a^2/x^7-1/3*a*b/x^6-1/5*b^2/x^5","A"
64,1,36,35,0.002000," ","int(x^4*(b*x+a)^3,x)","\frac{1}{8} b^{3} x^{8}+\frac{3}{7} a \,b^{2} x^{7}+\frac{1}{2} a^{2} b \,x^{6}+\frac{1}{5} a^{3} x^{5}"," ",0,"1/5*a^3*x^5+1/2*a^2*b*x^6+3/7*a*b^2*x^7+1/8*b^3*x^8","A"
65,1,36,35,0.001000," ","int(x^3*(b*x+a)^3,x)","\frac{1}{7} b^{3} x^{7}+\frac{1}{2} a \,b^{2} x^{6}+\frac{3}{5} a^{2} b \,x^{5}+\frac{1}{4} a^{3} x^{4}"," ",0,"1/4*a^3*x^4+3/5*a^2*b*x^5+1/2*a*b^2*x^6+1/7*b^3*x^7","A"
66,1,36,35,0.000000," ","int(x^2*(b*x+a)^3,x)","\frac{1}{6} b^{3} x^{6}+\frac{3}{5} a \,b^{2} x^{5}+\frac{3}{4} a^{2} b \,x^{4}+\frac{1}{3} a^{3} x^{3}"," ",0,"1/3*a^3*x^3+3/4*a^2*b*x^4+3/5*a*b^2*x^5+1/6*b^3*x^6","A"
67,1,35,26,0.001000," ","int(x*(b*x+a)^3,x)","\frac{1}{5} b^{3} x^{5}+\frac{3}{4} a \,b^{2} x^{4}+a^{2} b \,x^{3}+\frac{1}{2} a^{3} x^{2}"," ",0,"1/5*b^3*x^5+3/4*a*b^2*x^4+a^2*b*x^3+1/2*a^3*x^2","A"
68,1,13,12,0.001000," ","int((b*x+a)^3,x)","\frac{\left(b x +a \right)^{4}}{4 b}"," ",0,"1/4*(b*x+a)^4/b","A"
69,1,32,31,0.003000," ","int((b*x+a)^3/x,x)","\frac{b^{3} x^{3}}{3}+\frac{3 a \,b^{2} x^{2}}{2}+a^{3} \ln \left(x \right)+3 a^{2} b x"," ",0,"3*a^2*b*x+3/2*a*b^2*x^2+1/3*b^3*x^3+a^3*ln(x)","A"
70,1,33,32,0.006000," ","int((b*x+a)^3/x^2,x)","\frac{b^{3} x^{2}}{2}+3 a^{2} b \ln \left(x \right)+3 a \,b^{2} x -\frac{a^{3}}{x}"," ",0,"-a^3/x+3*a*b^2*x+1/2*b^3*x^2+3*a^2*b*ln(x)","A"
71,1,32,31,0.004000," ","int((b*x+a)^3/x^3,x)","3 a \,b^{2} \ln \left(x \right)+b^{3} x -\frac{3 a^{2} b}{x}-\frac{a^{3}}{2 x^{2}}"," ",0,"-1/2*a^3/x^2-3*a^2*b/x+b^3*x+3*a*b^2*ln(x)","A"
72,1,34,33,0.006000," ","int((b*x+a)^3/x^4,x)","b^{3} \ln \left(x \right)-\frac{3 a \,b^{2}}{x}-\frac{3 a^{2} b}{2 x^{2}}-\frac{a^{3}}{3 x^{3}}"," ",0,"-1/3*a^3/x^3-3/2*a^2*b/x^2-3*a*b^2/x+b^3*ln(x)","A"
73,1,36,15,0.006000," ","int((b*x+a)^3/x^5,x)","-\frac{b^{3}}{x}-\frac{3 a \,b^{2}}{2 x^{2}}-\frac{a^{2} b}{x^{3}}-\frac{a^{3}}{4 x^{4}}"," ",0,"-a^2*b/x^3-1/4*a^3/x^4-b^3/x-3/2*a*b^2/x^2","B"
74,1,36,32,0.005000," ","int((b*x+a)^3/x^6,x)","-\frac{b^{3}}{2 x^{2}}-\frac{a \,b^{2}}{x^{3}}-\frac{3 a^{2} b}{4 x^{4}}-\frac{a^{3}}{5 x^{5}}"," ",0,"-1/5*a^3/x^5-a*b^2/x^3-3/4*a^2*b/x^4-1/2*b^3/x^2","A"
75,1,36,35,0.006000," ","int((b*x+a)^3/x^7,x)","-\frac{b^{3}}{3 x^{3}}-\frac{3 a \,b^{2}}{4 x^{4}}-\frac{3 a^{2} b}{5 x^{5}}-\frac{a^{3}}{6 x^{6}}"," ",0,"-1/6*a^3/x^6-3/5*a^2*b/x^5-3/4*a*b^2/x^4-1/3*b^3/x^3","A"
76,1,36,35,0.004000," ","int((b*x+a)^3/x^8,x)","-\frac{b^{3}}{4 x^{4}}-\frac{3 a \,b^{2}}{5 x^{5}}-\frac{a^{2} b}{2 x^{6}}-\frac{a^{3}}{7 x^{7}}"," ",0,"-1/7*a^3/x^7-1/2*a^2*b/x^6-3/5*a*b^2/x^5-1/4*b^3/x^4","A"
77,1,57,56,0.006000," ","int(x^6*(b*x+a)^5,x)","\frac{1}{12} b^{5} x^{12}+\frac{5}{11} a \,b^{4} x^{11}+a^{2} b^{3} x^{10}+\frac{10}{9} a^{3} b^{2} x^{9}+\frac{5}{8} a^{4} b \,x^{8}+\frac{1}{7} a^{5} x^{7}"," ",0,"1/7*a^5*x^7+5/8*a^4*b*x^8+10/9*a^3*b^2*x^9+a^2*b^3*x^10+5/11*a*b^4*x^11+1/12*b^5*x^12","A"
78,1,58,57,0.001000," ","int(x^5*(b*x+a)^5,x)","\frac{1}{11} b^{5} x^{11}+\frac{1}{2} a \,b^{4} x^{10}+\frac{10}{9} a^{2} b^{3} x^{9}+\frac{5}{4} a^{3} b^{2} x^{8}+\frac{5}{7} a^{4} b \,x^{7}+\frac{1}{6} a^{5} x^{6}"," ",0,"1/6*a^5*x^6+5/7*a^4*b*x^7+5/4*a^3*b^2*x^8+10/9*a^2*b^3*x^9+1/2*a*b^4*x^10+1/11*b^5*x^11","A"
79,1,58,57,0.000000," ","int(x^4*(b*x+a)^5,x)","\frac{1}{10} b^{5} x^{10}+\frac{5}{9} a \,b^{4} x^{9}+\frac{5}{4} a^{2} b^{3} x^{8}+\frac{10}{7} a^{3} b^{2} x^{7}+\frac{5}{6} a^{4} b \,x^{6}+\frac{1}{5} a^{5} x^{5}"," ",0,"1/5*a^5*x^5+5/6*a^4*b*x^6+10/7*a^3*b^2*x^7+5/4*a^2*b^3*x^8+5/9*a*b^4*x^9+1/10*b^5*x^10","A"
80,1,57,56,0.001000," ","int(x^3*(b*x+a)^5,x)","\frac{1}{9} b^{5} x^{9}+\frac{5}{8} a \,b^{4} x^{8}+\frac{10}{7} a^{2} b^{3} x^{7}+\frac{5}{3} a^{3} b^{2} x^{6}+a^{4} b \,x^{5}+\frac{1}{4} a^{5} x^{4}"," ",0,"1/9*b^5*x^9+5/8*a*b^4*x^8+10/7*a^2*b^3*x^7+5/3*a^3*b^2*x^6+a^4*b*x^5+1/4*a^5*x^4","A"
81,1,58,41,0.002000," ","int(x^2*(b*x+a)^5,x)","\frac{1}{8} b^{5} x^{8}+\frac{5}{7} a \,b^{4} x^{7}+\frac{5}{3} a^{2} b^{3} x^{6}+2 a^{3} b^{2} x^{5}+\frac{5}{4} a^{4} b \,x^{4}+\frac{1}{3} a^{5} x^{3}"," ",0,"1/8*b^5*x^8+5/7*a*b^4*x^7+5/3*a^2*b^3*x^6+2*a^3*b^2*x^5+5/4*a^4*b*x^4+1/3*a^5*x^3","A"
82,1,58,26,0.000000," ","int(x*(b*x+a)^5,x)","\frac{1}{7} b^{5} x^{7}+\frac{5}{6} a \,b^{4} x^{6}+2 a^{2} b^{3} x^{5}+\frac{5}{2} a^{3} b^{2} x^{4}+\frac{5}{3} a^{4} b \,x^{3}+\frac{1}{2} a^{5} x^{2}"," ",0,"1/7*b^5*x^7+5/6*a*b^4*x^6+2*a^2*b^3*x^5+5/2*a^3*b^2*x^4+5/3*a^4*b*x^3+1/2*a^5*x^2","B"
83,1,13,12,0.002000," ","int((b*x+a)^5,x)","\frac{\left(b x +a \right)^{6}}{6 b}"," ",0,"1/6*(b*x+a)^6/b","A"
84,1,54,53,0.003000," ","int((b*x+a)^5/x,x)","\frac{b^{5} x^{5}}{5}+\frac{5 a \,b^{4} x^{4}}{4}+\frac{10 a^{2} b^{3} x^{3}}{3}+5 a^{3} b^{2} x^{2}+a^{5} \ln \left(x \right)+5 a^{4} b x"," ",0,"5*a^4*b*x+5*a^3*b^2*x^2+10/3*a^2*b^3*x^3+5/4*a*b^4*x^4+1/5*b^5*x^5+a^5*ln(x)","A"
85,1,55,54,0.007000," ","int((b*x+a)^5/x^2,x)","\frac{b^{5} x^{4}}{4}+\frac{5 a \,b^{4} x^{3}}{3}+5 a^{2} b^{3} x^{2}+5 a^{4} b \ln \left(x \right)+10 a^{3} b^{2} x -\frac{a^{5}}{x}"," ",0,"-a^5/x+10*a^3*b^2*x+5*a^2*b^3*x^2+5/3*a*b^4*x^3+1/4*b^5*x^4+5*a^4*b*ln(x)","A"
86,1,55,54,0.005000," ","int((b*x+a)^5/x^3,x)","\frac{b^{5} x^{3}}{3}+\frac{5 a \,b^{4} x^{2}}{2}+10 a^{3} b^{2} \ln \left(x \right)+10 a^{2} b^{3} x -\frac{5 a^{4} b}{x}-\frac{a^{5}}{2 x^{2}}"," ",0,"-1/2*a^5/x^2-5*a^4*b/x+10*a^2*b^3*x+5/2*a*b^4*x^2+1/3*b^5*x^3+10*a^3*b^2*ln(x)","A"
87,1,55,54,0.006000," ","int((b*x+a)^5/x^4,x)","\frac{b^{5} x^{2}}{2}+10 a^{2} b^{3} \ln \left(x \right)+5 a \,b^{4} x -\frac{10 a^{3} b^{2}}{x}-\frac{5 a^{4} b}{2 x^{2}}-\frac{a^{5}}{3 x^{3}}"," ",0,"-1/3*a^5/x^3-5/2*a^4*b/x^2-10*a^3*b^2/x+5*a*b^4*x+1/2*b^5*x^2+10*a^2*b^3*ln(x)","A"
88,1,54,53,0.007000," ","int((b*x+a)^5/x^5,x)","5 a \,b^{4} \ln \left(x \right)+b^{5} x -\frac{10 a^{2} b^{3}}{x}-\frac{5 a^{3} b^{2}}{x^{2}}-\frac{5 a^{4} b}{3 x^{3}}-\frac{a^{5}}{4 x^{4}}"," ",0,"-1/4*a^5/x^4-5/3*a^4*b/x^3-5*a^3*b^2/x^2-10*a^2*b^3/x+b^5*x+5*a*b^4*ln(x)","A"
89,1,56,55,0.007000," ","int((b*x+a)^5/x^6,x)","b^{5} \ln \left(x \right)-\frac{5 a \,b^{4}}{x}-\frac{5 a^{2} b^{3}}{x^{2}}-\frac{10 a^{3} b^{2}}{3 x^{3}}-\frac{5 a^{4} b}{4 x^{4}}-\frac{a^{5}}{5 x^{5}}"," ",0,"-1/5*a^5/x^5-5/4*a^4*b/x^4-10/3*a^3*b^2/x^3-5*a^2*b^3/x^2-5*a*b^4/x+b^5*ln(x)","A"
90,1,58,15,0.004000," ","int((b*x+a)^5/x^7,x)","-\frac{b^{5}}{x}-\frac{5 a \,b^{4}}{2 x^{2}}-\frac{10 a^{2} b^{3}}{3 x^{3}}-\frac{5 a^{3} b^{2}}{2 x^{4}}-\frac{a^{4} b}{x^{5}}-\frac{a^{5}}{6 x^{6}}"," ",0,"-1/6*a^5/x^6-a^4*b/x^5-5/2*a^3*b^2/x^4-b^5/x-10/3*a^2*b^3/x^3-5/2*a*b^4/x^2","B"
91,1,58,32,0.006000," ","int((b*x+a)^5/x^8,x)","-\frac{b^{5}}{2 x^{2}}-\frac{5 a \,b^{4}}{3 x^{3}}-\frac{5 a^{2} b^{3}}{2 x^{4}}-\frac{2 a^{3} b^{2}}{x^{5}}-\frac{5 a^{4} b}{6 x^{6}}-\frac{a^{5}}{7 x^{7}}"," ",0,"-2*a^3*b^2/x^5-1/7*a^5/x^7-5/2*a^2*b^3/x^4-5/6*a^4*b/x^6-5/3*a*b^4/x^3-1/2*b^5/x^2","A"
92,1,58,50,0.006000," ","int((b*x+a)^5/x^9,x)","-\frac{b^{5}}{3 x^{3}}-\frac{5 a \,b^{4}}{4 x^{4}}-\frac{2 a^{2} b^{3}}{x^{5}}-\frac{5 a^{3} b^{2}}{3 x^{6}}-\frac{5 a^{4} b}{7 x^{7}}-\frac{a^{5}}{8 x^{8}}"," ",0,"-5/7*a^4*b/x^7-1/8*a^5/x^8-5/4*a*b^4/x^4-5/3*a^3*b^2/x^6-1/3*b^5/x^3-2*a^2*b^3/x^5","A"
93,1,58,57,0.003000," ","int((b*x+a)^5/x^10,x)","-\frac{b^{5}}{4 x^{4}}-\frac{a \,b^{4}}{x^{5}}-\frac{5 a^{2} b^{3}}{3 x^{6}}-\frac{10 a^{3} b^{2}}{7 x^{7}}-\frac{5 a^{4} b}{8 x^{8}}-\frac{a^{5}}{9 x^{9}}"," ",0,"-1/9*a^5/x^9-5/8*a^4*b/x^8-10/7*a^3*b^2/x^7-5/3*a^2*b^3/x^6-a*b^4/x^5-1/4*b^5/x^4","A"
94,1,58,57,0.007000," ","int((b*x+a)^5/x^11,x)","-\frac{b^{5}}{5 x^{5}}-\frac{5 a \,b^{4}}{6 x^{6}}-\frac{10 a^{2} b^{3}}{7 x^{7}}-\frac{5 a^{3} b^{2}}{4 x^{8}}-\frac{5 a^{4} b}{9 x^{9}}-\frac{a^{5}}{10 x^{10}}"," ",0,"-1/10*a^5/x^10-5/9*a^4*b/x^9-5/4*a^3*b^2/x^8-10/7*a^2*b^3/x^7-5/6*a*b^4/x^6-1/5*b^5/x^5","A"
95,1,58,57,0.006000," ","int((b*x+a)^5/x^12,x)","-\frac{b^{5}}{6 x^{6}}-\frac{5 a \,b^{4}}{7 x^{7}}-\frac{5 a^{2} b^{3}}{4 x^{8}}-\frac{10 a^{3} b^{2}}{9 x^{9}}-\frac{a^{4} b}{2 x^{10}}-\frac{a^{5}}{11 x^{11}}"," ",0,"-1/11*a^5/x^11-1/2*a^4*b/x^10-10/9*a^3*b^2/x^9-5/4*a^2*b^3/x^8-5/7*a*b^4/x^7-1/6*b^5/x^6","A"
96,1,58,57,0.006000," ","int((b*x+a)^5/x^13,x)","-\frac{b^{5}}{7 x^{7}}-\frac{5 a \,b^{4}}{8 x^{8}}-\frac{10 a^{2} b^{3}}{9 x^{9}}-\frac{a^{3} b^{2}}{x^{10}}-\frac{5 a^{4} b}{11 x^{11}}-\frac{a^{5}}{12 x^{12}}"," ",0,"-1/12*a^5/x^12-5/11*a^4*b/x^11-a^3*b^2/x^10-10/9*a^2*b^3/x^9-5/8*a*b^4/x^8-1/7*b^5/x^7","A"
97,1,58,57,0.004000," ","int((b*x+a)^5/x^14,x)","-\frac{b^{5}}{8 x^{8}}-\frac{5 a \,b^{4}}{9 x^{9}}-\frac{a^{2} b^{3}}{x^{10}}-\frac{10 a^{3} b^{2}}{11 x^{11}}-\frac{5 a^{4} b}{12 x^{12}}-\frac{a^{5}}{13 x^{13}}"," ",0,"-1/13*a^5/x^13-5/12*a^4*b/x^12-10/11*a^3*b^2/x^11-a^2*b^3/x^10-5/9*a*b^4/x^9-1/8*b^5/x^8","A"
98,1,80,79,0.001000," ","int(x^8*(b*x+a)^7,x)","\frac{1}{16} b^{7} x^{16}+\frac{7}{15} a \,b^{6} x^{15}+\frac{3}{2} a^{2} b^{5} x^{14}+\frac{35}{13} a^{3} b^{4} x^{13}+\frac{35}{12} a^{4} b^{3} x^{12}+\frac{21}{11} a^{5} b^{2} x^{11}+\frac{7}{10} a^{6} b \,x^{10}+\frac{1}{9} a^{7} x^{9}"," ",0,"1/9*a^7*x^9+7/10*a^6*b*x^10+21/11*a^5*b^2*x^11+35/12*a^4*b^3*x^12+35/13*a^3*b^4*x^13+3/2*a^2*b^5*x^14+7/15*a*b^6*x^15+1/16*b^7*x^16","A"
99,1,80,79,0.001000," ","int(x^7*(b*x+a)^7,x)","\frac{1}{15} b^{7} x^{15}+\frac{1}{2} a \,b^{6} x^{14}+\frac{21}{13} a^{2} b^{5} x^{13}+\frac{35}{12} a^{3} b^{4} x^{12}+\frac{35}{11} a^{4} b^{3} x^{11}+\frac{21}{10} a^{5} b^{2} x^{10}+\frac{7}{9} a^{6} b \,x^{9}+\frac{1}{8} a^{7} x^{8}"," ",0,"1/8*a^7*x^8+7/9*a^6*b*x^9+21/10*a^5*b^2*x^10+35/11*a^4*b^3*x^11+35/12*a^3*b^4*x^12+21/13*a^2*b^5*x^13+1/2*a*b^6*x^14+1/15*b^7*x^15","A"
100,1,80,79,0.001000," ","int(x^6*(b*x+a)^7,x)","\frac{1}{14} b^{7} x^{14}+\frac{7}{13} a \,b^{6} x^{13}+\frac{7}{4} a^{2} b^{5} x^{12}+\frac{35}{11} a^{3} b^{4} x^{11}+\frac{7}{2} a^{4} b^{3} x^{10}+\frac{7}{3} a^{5} b^{2} x^{9}+\frac{7}{8} a^{6} b \,x^{8}+\frac{1}{7} a^{7} x^{7}"," ",0,"1/7*a^7*x^7+7/8*a^6*b*x^8+7/3*a^5*b^2*x^9+7/2*a^4*b^3*x^10+35/11*a^3*b^4*x^11+7/4*a^2*b^5*x^12+7/13*a*b^6*x^13+1/14*b^7*x^14","A"
101,1,79,86,0.000000," ","int(x^5*(b*x+a)^7,x)","\frac{1}{13} b^{7} x^{13}+\frac{7}{12} a \,b^{6} x^{12}+\frac{21}{11} a^{2} b^{5} x^{11}+\frac{7}{2} a^{3} b^{4} x^{10}+\frac{35}{9} a^{4} b^{3} x^{9}+\frac{21}{8} a^{5} b^{2} x^{8}+a^{6} b \,x^{7}+\frac{1}{6} a^{7} x^{6}"," ",0,"1/13*b^7*x^13+7/12*a*b^6*x^12+21/11*a^2*b^5*x^11+7/2*a^3*b^4*x^10+35/9*a^4*b^3*x^9+21/8*a^5*b^2*x^8+a^6*b*x^7+1/6*a^7*x^6","A"
102,1,80,71,0.001000," ","int(x^4*(b*x+a)^7,x)","\frac{1}{12} b^{7} x^{12}+\frac{7}{11} a \,b^{6} x^{11}+\frac{21}{10} a^{2} b^{5} x^{10}+\frac{35}{9} a^{3} b^{4} x^{9}+\frac{35}{8} a^{4} b^{3} x^{8}+3 a^{5} b^{2} x^{7}+\frac{7}{6} a^{6} b \,x^{6}+\frac{1}{5} a^{7} x^{5}"," ",0,"1/12*b^7*x^12+7/11*a*b^6*x^11+21/10*a^2*b^5*x^10+35/9*a^3*b^4*x^9+35/8*a^4*b^3*x^8+3*a^5*b^2*x^7+7/6*a^6*b*x^6+1/5*a^7*x^5","A"
103,1,80,56,0.001000," ","int(x^3*(b*x+a)^7,x)","\frac{1}{11} b^{7} x^{11}+\frac{7}{10} a \,b^{6} x^{10}+\frac{7}{3} a^{2} b^{5} x^{9}+\frac{35}{8} a^{3} b^{4} x^{8}+5 a^{4} b^{3} x^{7}+\frac{7}{2} a^{5} b^{2} x^{6}+\frac{7}{5} a^{6} b \,x^{5}+\frac{1}{4} a^{7} x^{4}"," ",0,"1/11*b^7*x^11+7/10*a*b^6*x^10+7/3*a^2*b^5*x^9+35/8*a^3*b^4*x^8+5*a^4*b^3*x^7+7/2*a^5*b^2*x^6+7/5*a^6*b*x^5+1/4*a^7*x^4","A"
104,1,80,41,0.001000," ","int(x^2*(b*x+a)^7,x)","\frac{1}{10} b^{7} x^{10}+\frac{7}{9} a \,b^{6} x^{9}+\frac{21}{8} a^{2} b^{5} x^{8}+5 a^{3} b^{4} x^{7}+\frac{35}{6} a^{4} b^{3} x^{6}+\frac{21}{5} a^{5} b^{2} x^{5}+\frac{7}{4} a^{6} b \,x^{4}+\frac{1}{3} a^{7} x^{3}"," ",0,"1/10*b^7*x^10+7/9*a*b^6*x^9+21/8*a^2*b^5*x^8+5*a^3*b^4*x^7+35/6*a^4*b^3*x^6+21/5*a^5*b^2*x^5+7/4*a^6*b*x^4+1/3*a^7*x^3","A"
105,1,80,26,0.001000," ","int(x*(b*x+a)^7,x)","\frac{1}{9} b^{7} x^{9}+\frac{7}{8} a \,b^{6} x^{8}+3 a^{2} b^{5} x^{7}+\frac{35}{6} a^{3} b^{4} x^{6}+7 a^{4} b^{3} x^{5}+\frac{21}{4} a^{5} b^{2} x^{4}+\frac{7}{3} a^{6} b \,x^{3}+\frac{1}{2} a^{7} x^{2}"," ",0,"1/9*b^7*x^9+7/8*a*b^6*x^8+3*a^2*b^5*x^7+35/6*a^3*b^4*x^6+7*a^4*b^3*x^5+21/4*a^5*b^2*x^4+7/3*a^6*b*x^3+1/2*a^7*x^2","B"
106,1,13,12,0.000000," ","int((b*x+a)^7,x)","\frac{\left(b x +a \right)^{8}}{8 b}"," ",0,"1/8*(b*x+a)^8/b","A"
107,1,76,75,0.003000," ","int((b*x+a)^7/x,x)","\frac{b^{7} x^{7}}{7}+\frac{7 a \,b^{6} x^{6}}{6}+\frac{21 a^{2} b^{5} x^{5}}{5}+\frac{35 a^{3} b^{4} x^{4}}{4}+\frac{35 a^{4} b^{3} x^{3}}{3}+\frac{21 a^{5} b^{2} x^{2}}{2}+a^{7} \ln \left(x \right)+7 a^{6} b x"," ",0,"7*a^6*b*x+21/2*a^5*b^2*x^2+35/3*a^4*b^3*x^3+35/4*a^3*b^4*x^4+21/5*a^2*b^5*x^5+7/6*a*b^6*x^6+1/7*b^7*x^7+a^7*ln(x)","A"
108,1,77,76,0.007000," ","int((b*x+a)^7/x^2,x)","\frac{b^{7} x^{6}}{6}+\frac{7 a \,b^{6} x^{5}}{5}+\frac{21 a^{2} b^{5} x^{4}}{4}+\frac{35 a^{3} b^{4} x^{3}}{3}+\frac{35 a^{4} b^{3} x^{2}}{2}+7 a^{6} b \ln \left(x \right)+21 a^{5} b^{2} x -\frac{a^{7}}{x}"," ",0,"-a^7/x+21*a^5*b^2*x+35/2*a^4*b^3*x^2+35/3*a^3*b^4*x^3+21/4*a^2*b^5*x^4+7/5*a*b^6*x^5+1/6*b^7*x^6+7*a^6*b*ln(x)","A"
109,1,77,76,0.007000," ","int((b*x+a)^7/x^3,x)","\frac{b^{7} x^{5}}{5}+\frac{7 a \,b^{6} x^{4}}{4}+7 a^{2} b^{5} x^{3}+\frac{35 a^{3} b^{4} x^{2}}{2}+21 a^{5} b^{2} \ln \left(x \right)+35 a^{4} b^{3} x -\frac{7 a^{6} b}{x}-\frac{a^{7}}{2 x^{2}}"," ",0,"-1/2*a^7/x^2-7*a^6*b/x+35*a^4*b^3*x+35/2*a^3*b^4*x^2+7*a^2*b^5*x^3+7/4*a*b^6*x^4+1/5*b^7*x^5+21*a^5*b^2*ln(x)","A"
110,1,77,76,0.007000," ","int((b*x+a)^7/x^4,x)","\frac{b^{7} x^{4}}{4}+\frac{7 a \,b^{6} x^{3}}{3}+\frac{21 a^{2} b^{5} x^{2}}{2}+35 a^{4} b^{3} \ln \left(x \right)+35 a^{3} b^{4} x -\frac{21 a^{5} b^{2}}{x}-\frac{7 a^{6} b}{2 x^{2}}-\frac{a^{7}}{3 x^{3}}"," ",0,"-1/3*a^7/x^3-7/2*a^6*b/x^2-21*a^5*b^2/x+35*a^3*b^4*x+21/2*a^2*b^5*x^2+7/3*a*b^6*x^3+1/4*b^7*x^4+35*a^4*b^3*ln(x)","A"
111,1,77,76,0.008000," ","int((b*x+a)^7/x^5,x)","\frac{b^{7} x^{3}}{3}+\frac{7 a \,b^{6} x^{2}}{2}+35 a^{3} b^{4} \ln \left(x \right)+21 a^{2} b^{5} x -\frac{35 a^{4} b^{3}}{x}-\frac{21 a^{5} b^{2}}{2 x^{2}}-\frac{7 a^{6} b}{3 x^{3}}-\frac{a^{7}}{4 x^{4}}"," ",0,"-1/4*a^7/x^4-7/3*a^6*b/x^3-21/2*a^5*b^2/x^2-35*a^4*b^3/x+21*a^2*b^5*x+7/2*a*b^6*x^2+1/3*b^7*x^3+35*a^3*b^4*ln(x)","A"
112,1,77,76,0.006000," ","int((b*x+a)^7/x^6,x)","\frac{b^{7} x^{2}}{2}+21 a^{2} b^{5} \ln \left(x \right)+7 a \,b^{6} x -\frac{35 a^{3} b^{4}}{x}-\frac{35 a^{4} b^{3}}{2 x^{2}}-\frac{7 a^{5} b^{2}}{x^{3}}-\frac{7 a^{6} b}{4 x^{4}}-\frac{a^{7}}{5 x^{5}}"," ",0,"-1/5*a^7/x^5-7/4*a^6*b/x^4-7*a^5*b^2/x^3-35/2*a^4*b^3/x^2-35*a^3*b^4/x+7*a*b^6*x+1/2*b^7*x^2+21*a^2*b^5*ln(x)","A"
113,1,76,75,0.008000," ","int((b*x+a)^7/x^7,x)","7 a \,b^{6} \ln \left(x \right)+b^{7} x -\frac{21 a^{2} b^{5}}{x}-\frac{35 a^{3} b^{4}}{2 x^{2}}-\frac{35 a^{4} b^{3}}{3 x^{3}}-\frac{21 a^{5} b^{2}}{4 x^{4}}-\frac{7 a^{6} b}{5 x^{5}}-\frac{a^{7}}{6 x^{6}}"," ",0,"-1/6*a^7/x^6-7/5*a^6*b/x^5-21/4*a^5*b^2/x^4-35/3*a^4*b^3/x^3-35/2*a^3*b^4/x^2-21*a^2*b^5/x+b^7*x+7*a*b^6*ln(x)","A"
114,1,78,77,0.007000," ","int((b*x+a)^7/x^8,x)","b^{7} \ln \left(x \right)-\frac{7 a \,b^{6}}{x}-\frac{21 a^{2} b^{5}}{2 x^{2}}-\frac{35 a^{3} b^{4}}{3 x^{3}}-\frac{35 a^{4} b^{3}}{4 x^{4}}-\frac{21 a^{5} b^{2}}{5 x^{5}}-\frac{7 a^{6} b}{6 x^{6}}-\frac{a^{7}}{7 x^{7}}"," ",0,"-1/7*a^7/x^7-7/6*a^6*b/x^6-21/5*a^5*b^2/x^5-35/4*a^4*b^3/x^4-35/3*a^3*b^4/x^3-21/2*a^2*b^5/x^2-7*a*b^6/x+b^7*ln(x)","A"
115,1,80,15,0.005000," ","int((b*x+a)^7/x^9,x)","-\frac{b^{7}}{x}-\frac{7 a \,b^{6}}{2 x^{2}}-\frac{7 a^{2} b^{5}}{x^{3}}-\frac{35 a^{3} b^{4}}{4 x^{4}}-\frac{7 a^{4} b^{3}}{x^{5}}-\frac{7 a^{5} b^{2}}{2 x^{6}}-\frac{a^{6} b}{x^{7}}-\frac{a^{7}}{8 x^{8}}"," ",0,"-7*a^4*b^3/x^5-1/8*a^7/x^8-7/2*a^5*b^2/x^6-35/4*a^3*b^4/x^4-7*a^2*b^5/x^3-b^7/x-a^6*b/x^7-7/2*a*b^6/x^2","B"
116,1,80,32,0.006000," ","int((b*x+a)^7/x^10,x)","-\frac{b^{7}}{2 x^{2}}-\frac{7 a \,b^{6}}{3 x^{3}}-\frac{21 a^{2} b^{5}}{4 x^{4}}-\frac{7 a^{3} b^{4}}{x^{5}}-\frac{35 a^{4} b^{3}}{6 x^{6}}-\frac{3 a^{5} b^{2}}{x^{7}}-\frac{7 a^{6} b}{8 x^{8}}-\frac{a^{7}}{9 x^{9}}"," ",0,"-7*a^3*b^4/x^5-35/6*a^4*b^3/x^6-1/2*b^7/x^2-7/8*a^6*b/x^8-3*a^5*b^2/x^7-21/4*a^2*b^5/x^4-7/3*a*b^6/x^3-1/9*a^7/x^9","B"
117,1,80,50,0.005000," ","int((b*x+a)^7/x^11,x)","-\frac{b^{7}}{3 x^{3}}-\frac{7 a \,b^{6}}{4 x^{4}}-\frac{21 a^{2} b^{5}}{5 x^{5}}-\frac{35 a^{3} b^{4}}{6 x^{6}}-\frac{5 a^{4} b^{3}}{x^{7}}-\frac{21 a^{5} b^{2}}{8 x^{8}}-\frac{7 a^{6} b}{9 x^{9}}-\frac{a^{7}}{10 x^{10}}"," ",0,"-21/5*a^2*b^5/x^5-21/8*a^5*b^2/x^8-35/6*a^3*b^4/x^6-1/10*a^7/x^10-5*a^4*b^3/x^7-7/4*a*b^6/x^4-1/3*b^7/x^3-7/9*a^6*b/x^9","A"
118,1,80,68,0.006000," ","int((b*x+a)^7/x^12,x)","-\frac{b^{7}}{4 x^{4}}-\frac{7 a \,b^{6}}{5 x^{5}}-\frac{7 a^{2} b^{5}}{2 x^{6}}-\frac{5 a^{3} b^{4}}{x^{7}}-\frac{35 a^{4} b^{3}}{8 x^{8}}-\frac{7 a^{5} b^{2}}{3 x^{9}}-\frac{7 a^{6} b}{10 x^{10}}-\frac{a^{7}}{11 x^{11}}"," ",0,"-7/5*a*b^6/x^5-7/3*a^5*b^2/x^9-5*a^3*b^4/x^7-7/2*a^2*b^5/x^6-1/4*b^7/x^4-7/10*a^6*b/x^10-1/11*a^7/x^11-35/8*a^4*b^3/x^8","A"
119,1,80,86,0.006000," ","int((b*x+a)^7/x^13,x)","-\frac{b^{7}}{5 x^{5}}-\frac{7 a \,b^{6}}{6 x^{6}}-\frac{3 a^{2} b^{5}}{x^{7}}-\frac{35 a^{3} b^{4}}{8 x^{8}}-\frac{35 a^{4} b^{3}}{9 x^{9}}-\frac{21 a^{5} b^{2}}{10 x^{10}}-\frac{7 a^{6} b}{11 x^{11}}-\frac{a^{7}}{12 x^{12}}"," ",0,"-1/5*b^7/x^5-7/6*a*b^6/x^6-35/8*a^3*b^4/x^8-7/11*a^6*b/x^11-3*a^2*b^5/x^7-35/9*a^4*b^3/x^9-21/10*a^5*b^2/x^10-1/12*a^7/x^12","A"
120,1,80,79,0.005000," ","int((b*x+a)^7/x^14,x)","-\frac{b^{7}}{6 x^{6}}-\frac{a \,b^{6}}{x^{7}}-\frac{21 a^{2} b^{5}}{8 x^{8}}-\frac{35 a^{3} b^{4}}{9 x^{9}}-\frac{7 a^{4} b^{3}}{2 x^{10}}-\frac{21 a^{5} b^{2}}{11 x^{11}}-\frac{7 a^{6} b}{12 x^{12}}-\frac{a^{7}}{13 x^{13}}"," ",0,"-1/13*a^7/x^13-7/12*a^6*b/x^12-21/11*a^5*b^2/x^11-7/2*a^4*b^3/x^10-35/9*a^3*b^4/x^9-21/8*a^2*b^5/x^8-a*b^6/x^7-1/6*b^7/x^6","A"
121,1,80,79,0.006000," ","int((b*x+a)^7/x^15,x)","-\frac{b^{7}}{7 x^{7}}-\frac{7 a \,b^{6}}{8 x^{8}}-\frac{7 a^{2} b^{5}}{3 x^{9}}-\frac{7 a^{3} b^{4}}{2 x^{10}}-\frac{35 a^{4} b^{3}}{11 x^{11}}-\frac{7 a^{5} b^{2}}{4 x^{12}}-\frac{7 a^{6} b}{13 x^{13}}-\frac{a^{7}}{14 x^{14}}"," ",0,"-1/14*a^7/x^14-7/13*a^6*b/x^13-7/4*a^5*b^2/x^12-35/11*a^4*b^3/x^11-7/2*a^3*b^4/x^10-7/3*a^2*b^5/x^9-7/8*a*b^6/x^8-1/7*b^7/x^7","A"
122,1,80,79,0.005000," ","int((b*x+a)^7/x^16,x)","-\frac{b^{7}}{8 x^{8}}-\frac{7 a \,b^{6}}{9 x^{9}}-\frac{21 a^{2} b^{5}}{10 x^{10}}-\frac{35 a^{3} b^{4}}{11 x^{11}}-\frac{35 a^{4} b^{3}}{12 x^{12}}-\frac{21 a^{5} b^{2}}{13 x^{13}}-\frac{a^{6} b}{2 x^{14}}-\frac{a^{7}}{15 x^{15}}"," ",0,"-1/15*a^7/x^15-1/2*a^6*b/x^14-21/13*a^5*b^2/x^13-35/12*a^4*b^3/x^12-35/11*a^3*b^4/x^11-21/10*a^2*b^5/x^10-7/9*a*b^6/x^9-1/8*b^7/x^8","A"
123,1,113,112,0.001000," ","int(x^11*(b*x+a)^10,x)","\frac{1}{22} b^{10} x^{22}+\frac{10}{21} a \,b^{9} x^{21}+\frac{9}{4} a^{2} b^{8} x^{20}+\frac{120}{19} a^{3} b^{7} x^{19}+\frac{35}{3} a^{4} b^{6} x^{18}+\frac{252}{17} a^{5} b^{5} x^{17}+\frac{105}{8} a^{6} b^{4} x^{16}+8 a^{7} b^{3} x^{15}+\frac{45}{14} a^{8} b^{2} x^{14}+\frac{10}{13} a^{9} b \,x^{13}+\frac{1}{12} a^{10} x^{12}"," ",0,"1/12*a^10*x^12+10/13*a^9*b*x^13+45/14*a^8*b^2*x^14+8*a^7*b^3*x^15+105/8*a^6*b^4*x^16+252/17*a^5*b^5*x^17+35/3*a^4*b^6*x^18+120/19*a^3*b^7*x^19+9/4*a^2*b^8*x^20+10/21*a*b^9*x^21+1/22*b^10*x^22","A"
124,1,113,112,0.001000," ","int(x^10*(b*x+a)^10,x)","\frac{1}{21} b^{10} x^{21}+\frac{1}{2} a \,b^{9} x^{20}+\frac{45}{19} a^{2} b^{8} x^{19}+\frac{20}{3} a^{3} b^{7} x^{18}+\frac{210}{17} a^{4} b^{6} x^{17}+\frac{63}{4} a^{5} b^{5} x^{16}+14 a^{6} b^{4} x^{15}+\frac{60}{7} a^{7} b^{3} x^{14}+\frac{45}{13} a^{8} b^{2} x^{13}+\frac{5}{6} a^{9} b \,x^{12}+\frac{1}{11} a^{10} x^{11}"," ",0,"1/11*a^10*x^11+5/6*a^9*b*x^12+45/13*a^8*b^2*x^13+60/7*a^7*b^3*x^14+14*a^6*b^4*x^15+63/4*a^5*b^5*x^16+210/17*a^4*b^6*x^17+20/3*a^3*b^7*x^18+45/19*a^2*b^8*x^19+1/2*a*b^9*x^20+1/21*b^10*x^21","A"
125,1,113,112,0.000000," ","int(x^9*(b*x+a)^10,x)","\frac{1}{20} b^{10} x^{20}+\frac{10}{19} a \,b^{9} x^{19}+\frac{5}{2} a^{2} b^{8} x^{18}+\frac{120}{17} a^{3} b^{7} x^{17}+\frac{105}{8} a^{4} b^{6} x^{16}+\frac{84}{5} a^{5} b^{5} x^{15}+15 a^{6} b^{4} x^{14}+\frac{120}{13} a^{7} b^{3} x^{13}+\frac{15}{4} a^{8} b^{2} x^{12}+\frac{10}{11} a^{9} b \,x^{11}+\frac{1}{10} a^{10} x^{10}"," ",0,"1/10*a^10*x^10+10/11*a^9*b*x^11+15/4*a^8*b^2*x^12+120/13*a^7*b^3*x^13+15*a^6*b^4*x^14+84/5*a^5*b^5*x^15+105/8*a^4*b^6*x^16+120/17*a^3*b^7*x^17+5/2*a^2*b^8*x^18+10/19*a*b^9*x^19+1/20*b^10*x^20","A"
126,1,112,131,0.001000," ","int(x^8*(b*x+a)^10,x)","\frac{1}{19} b^{10} x^{19}+\frac{5}{9} a \,b^{9} x^{18}+\frac{45}{17} a^{2} b^{8} x^{17}+\frac{15}{2} a^{3} b^{7} x^{16}+14 a^{4} b^{6} x^{15}+18 a^{5} b^{5} x^{14}+\frac{210}{13} a^{6} b^{4} x^{13}+10 a^{7} b^{3} x^{12}+\frac{45}{11} a^{8} b^{2} x^{11}+a^{9} b \,x^{10}+\frac{1}{9} a^{10} x^{9}"," ",0,"1/19*b^10*x^19+5/9*a*b^9*x^18+45/17*a^2*b^8*x^17+15/2*a^3*b^7*x^16+14*a^4*b^6*x^15+18*a^5*b^5*x^14+210/13*a^6*b^4*x^13+10*a^7*b^3*x^12+45/11*a^8*b^2*x^11+a^9*b*x^10+1/9*a^10*x^9","A"
127,1,113,116,0.001000," ","int(x^7*(b*x+a)^10,x)","\frac{1}{18} b^{10} x^{18}+\frac{10}{17} a \,b^{9} x^{17}+\frac{45}{16} a^{2} b^{8} x^{16}+8 a^{3} b^{7} x^{15}+15 a^{4} b^{6} x^{14}+\frac{252}{13} a^{5} b^{5} x^{13}+\frac{35}{2} a^{6} b^{4} x^{12}+\frac{120}{11} a^{7} b^{3} x^{11}+\frac{9}{2} a^{8} b^{2} x^{10}+\frac{10}{9} a^{9} b \,x^{9}+\frac{1}{8} a^{10} x^{8}"," ",0,"1/18*b^10*x^18+10/17*a*b^9*x^17+45/16*a^2*b^8*x^16+8*a^3*b^7*x^15+15*a^4*b^6*x^14+252/13*a^5*b^5*x^13+35/2*a^6*b^4*x^12+120/11*a^7*b^3*x^11+9/2*a^8*b^2*x^10+10/9*a^9*b*x^9+1/8*a^10*x^8","A"
128,1,113,100,0.000000," ","int(x^6*(b*x+a)^10,x)","\frac{1}{17} b^{10} x^{17}+\frac{5}{8} a \,b^{9} x^{16}+3 a^{2} b^{8} x^{15}+\frac{60}{7} a^{3} b^{7} x^{14}+\frac{210}{13} a^{4} b^{6} x^{13}+21 a^{5} b^{5} x^{12}+\frac{210}{11} a^{6} b^{4} x^{11}+12 a^{7} b^{3} x^{10}+5 a^{8} b^{2} x^{9}+\frac{5}{4} a^{9} b \,x^{8}+\frac{1}{7} a^{10} x^{7}"," ",0,"1/17*b^10*x^17+5/8*a*b^9*x^16+3*a^2*b^8*x^15+60/7*a^3*b^7*x^14+210/13*a^4*b^6*x^13+21*a^5*b^5*x^12+210/11*a^6*b^4*x^11+12*a^7*b^3*x^10+5*a^8*b^2*x^9+5/4*a^9*b*x^8+1/7*a^10*x^7","A"
129,1,113,86,0.000000," ","int(x^5*(b*x+a)^10,x)","\frac{1}{16} b^{10} x^{16}+\frac{2}{3} a \,b^{9} x^{15}+\frac{45}{14} a^{2} b^{8} x^{14}+\frac{120}{13} a^{3} b^{7} x^{13}+\frac{35}{2} a^{4} b^{6} x^{12}+\frac{252}{11} a^{5} b^{5} x^{11}+21 a^{6} b^{4} x^{10}+\frac{40}{3} a^{7} b^{3} x^{9}+\frac{45}{8} a^{8} b^{2} x^{8}+\frac{10}{7} a^{9} b \,x^{7}+\frac{1}{6} a^{10} x^{6}"," ",0,"1/16*b^10*x^16+2/3*a*b^9*x^15+45/14*a^2*b^8*x^14+120/13*a^3*b^7*x^13+35/2*a^4*b^6*x^12+252/11*a^5*b^5*x^11+21*a^6*b^4*x^10+40/3*a^7*b^3*x^9+45/8*a^8*b^2*x^8+10/7*a^9*b*x^7+1/6*a^10*x^6","A"
130,1,113,71,0.001000," ","int(x^4*(b*x+a)^10,x)","\frac{1}{15} b^{10} x^{15}+\frac{5}{7} a \,b^{9} x^{14}+\frac{45}{13} a^{2} b^{8} x^{13}+10 a^{3} b^{7} x^{12}+\frac{210}{11} a^{4} b^{6} x^{11}+\frac{126}{5} a^{5} b^{5} x^{10}+\frac{70}{3} a^{6} b^{4} x^{9}+15 a^{7} b^{3} x^{8}+\frac{45}{7} a^{8} b^{2} x^{7}+\frac{5}{3} a^{9} b \,x^{6}+\frac{1}{5} a^{10} x^{5}"," ",0,"1/15*b^10*x^15+5/7*a*b^9*x^14+45/13*a^2*b^8*x^13+10*a^3*b^7*x^12+210/11*a^4*b^6*x^11+126/5*a^5*b^5*x^10+70/3*a^6*b^4*x^9+15*a^7*b^3*x^8+45/7*a^8*b^2*x^7+5/3*a^9*b*x^6+1/5*a^10*x^5","A"
131,1,113,56,0.002000," ","int(x^3*(b*x+a)^10,x)","\frac{1}{14} b^{10} x^{14}+\frac{10}{13} a \,b^{9} x^{13}+\frac{15}{4} a^{2} b^{8} x^{12}+\frac{120}{11} a^{3} b^{7} x^{11}+21 a^{4} b^{6} x^{10}+28 a^{5} b^{5} x^{9}+\frac{105}{4} a^{6} b^{4} x^{8}+\frac{120}{7} a^{7} b^{3} x^{7}+\frac{15}{2} a^{8} b^{2} x^{6}+2 a^{9} b \,x^{5}+\frac{1}{4} a^{10} x^{4}"," ",0,"1/14*b^10*x^14+10/13*a*b^9*x^13+15/4*a^2*b^8*x^12+120/11*a^3*b^7*x^11+21*a^4*b^6*x^10+28*a^5*b^5*x^9+105/4*a^6*b^4*x^8+120/7*a^7*b^3*x^7+15/2*a^8*b^2*x^6+2*a^9*b*x^5+1/4*a^10*x^4","A"
132,1,113,41,0.002000," ","int(x^2*(b*x+a)^10,x)","\frac{1}{13} b^{10} x^{13}+\frac{5}{6} a \,b^{9} x^{12}+\frac{45}{11} a^{2} b^{8} x^{11}+12 a^{3} b^{7} x^{10}+\frac{70}{3} a^{4} b^{6} x^{9}+\frac{63}{2} a^{5} b^{5} x^{8}+30 a^{6} b^{4} x^{7}+20 a^{7} b^{3} x^{6}+9 a^{8} b^{2} x^{5}+\frac{5}{2} a^{9} b \,x^{4}+\frac{1}{3} a^{10} x^{3}"," ",0,"1/13*b^10*x^13+5/6*a*b^9*x^12+45/11*a^2*b^8*x^11+12*a^3*b^7*x^10+70/3*a^4*b^6*x^9+63/2*a^5*b^5*x^8+30*a^6*b^4*x^7+20*a^7*b^3*x^6+9*a^8*b^2*x^5+5/2*a^9*b*x^4+1/3*a^10*x^3","B"
133,1,113,26,0.001000," ","int(x*(b*x+a)^10,x)","\frac{1}{12} b^{10} x^{12}+\frac{10}{11} a \,b^{9} x^{11}+\frac{9}{2} a^{2} b^{8} x^{10}+\frac{40}{3} a^{3} b^{7} x^{9}+\frac{105}{4} a^{4} b^{6} x^{8}+36 a^{5} b^{5} x^{7}+35 a^{6} b^{4} x^{6}+24 a^{7} b^{3} x^{5}+\frac{45}{4} a^{8} b^{2} x^{4}+\frac{10}{3} a^{9} b \,x^{3}+\frac{1}{2} a^{10} x^{2}"," ",0,"1/12*b^10*x^12+10/11*a*b^9*x^11+9/2*a^2*b^8*x^10+40/3*a^3*b^7*x^9+105/4*a^4*b^6*x^8+36*a^5*b^5*x^7+35*a^6*b^4*x^6+24*a^7*b^3*x^5+45/4*a^8*b^2*x^4+10/3*a^9*b*x^3+1/2*a^10*x^2","B"
134,1,13,12,0.000000," ","int((b*x+a)^10,x)","\frac{\left(b x +a \right)^{11}}{11 b}"," ",0,"1/11*(b*x+a)^11/b","A"
135,1,109,108,0.004000," ","int((b*x+a)^10/x,x)","\frac{b^{10} x^{10}}{10}+\frac{10 a \,b^{9} x^{9}}{9}+\frac{45 a^{2} b^{8} x^{8}}{8}+\frac{120 a^{3} b^{7} x^{7}}{7}+35 a^{4} b^{6} x^{6}+\frac{252 a^{5} b^{5} x^{5}}{5}+\frac{105 a^{6} b^{4} x^{4}}{2}+40 a^{7} b^{3} x^{3}+\frac{45 a^{8} b^{2} x^{2}}{2}+a^{10} \ln \left(x \right)+10 a^{9} b x"," ",0,"10*a^9*b*x+45/2*a^8*b^2*x^2+40*a^7*b^3*x^3+105/2*a^6*b^4*x^4+252/5*a^5*b^5*x^5+35*a^4*b^6*x^6+120/7*a^3*b^7*x^7+45/8*a^2*b^8*x^8+10/9*a*b^9*x^9+1/10*b^10*x^10+a^10*ln(x)","A"
136,1,110,109,0.007000," ","int((b*x+a)^10/x^2,x)","\frac{b^{10} x^{9}}{9}+\frac{5 a \,b^{9} x^{8}}{4}+\frac{45 a^{2} b^{8} x^{7}}{7}+20 a^{3} b^{7} x^{6}+42 a^{4} b^{6} x^{5}+63 a^{5} b^{5} x^{4}+70 a^{6} b^{4} x^{3}+60 a^{7} b^{3} x^{2}+10 a^{9} b \ln \left(x \right)+45 a^{8} b^{2} x -\frac{a^{10}}{x}"," ",0,"-a^10/x+45*a^8*b^2*x+60*a^7*b^3*x^2+70*a^6*b^4*x^3+63*a^5*b^5*x^4+42*a^4*b^6*x^5+20*a^3*b^7*x^6+45/7*a^2*b^8*x^7+5/4*a*b^9*x^8+1/9*b^10*x^9+10*a^9*b*ln(x)","A"
137,1,110,109,0.006000," ","int((b*x+a)^10/x^3,x)","\frac{b^{10} x^{8}}{8}+\frac{10 a \,b^{9} x^{7}}{7}+\frac{15 a^{2} b^{8} x^{6}}{2}+24 a^{3} b^{7} x^{5}+\frac{105 a^{4} b^{6} x^{4}}{2}+84 a^{5} b^{5} x^{3}+105 a^{6} b^{4} x^{2}+45 a^{8} b^{2} \ln \left(x \right)+120 a^{7} b^{3} x -\frac{10 a^{9} b}{x}-\frac{a^{10}}{2 x^{2}}"," ",0,"-1/2*a^10/x^2-10*a^9*b/x+120*a^7*b^3*x+105*a^6*b^4*x^2+84*a^5*b^5*x^3+105/2*a^4*b^6*x^4+24*a^3*b^7*x^5+15/2*a^2*b^8*x^6+10/7*a*b^9*x^7+1/8*b^10*x^8+45*a^8*b^2*ln(x)","A"
138,1,110,109,0.007000," ","int((b*x+a)^10/x^4,x)","\frac{b^{10} x^{7}}{7}+\frac{5 a \,b^{9} x^{6}}{3}+9 a^{2} b^{8} x^{5}+30 a^{3} b^{7} x^{4}+70 a^{4} b^{6} x^{3}+126 a^{5} b^{5} x^{2}+120 a^{7} b^{3} \ln \left(x \right)+210 a^{6} b^{4} x -\frac{45 a^{8} b^{2}}{x}-\frac{5 a^{9} b}{x^{2}}-\frac{a^{10}}{3 x^{3}}"," ",0,"-1/3*a^10/x^3-5*a^9*b/x^2-45*a^8*b^2/x+210*a^6*b^4*x+126*a^5*b^5*x^2+70*a^4*b^6*x^3+30*a^3*b^7*x^4+9*a^2*b^8*x^5+5/3*a*b^9*x^6+1/7*b^10*x^7+120*a^7*b^3*ln(x)","A"
139,1,110,109,0.008000," ","int((b*x+a)^10/x^5,x)","\frac{b^{10} x^{6}}{6}+2 a \,b^{9} x^{5}+\frac{45 a^{2} b^{8} x^{4}}{4}+40 a^{3} b^{7} x^{3}+105 a^{4} b^{6} x^{2}+210 a^{6} b^{4} \ln \left(x \right)+252 a^{5} b^{5} x -\frac{120 a^{7} b^{3}}{x}-\frac{45 a^{8} b^{2}}{2 x^{2}}-\frac{10 a^{9} b}{3 x^{3}}-\frac{a^{10}}{4 x^{4}}"," ",0,"-1/4*a^10/x^4-10/3*a^9*b/x^3-45/2*a^8*b^2/x^2-120*a^7*b^3/x+252*a^5*b^5*x+105*a^4*b^6*x^2+40*a^3*b^7*x^3+45/4*a^2*b^8*x^4+2*a*b^9*x^5+1/6*b^10*x^6+210*a^6*b^4*ln(x)","A"
140,1,110,109,0.006000," ","int((b*x+a)^10/x^6,x)","\frac{b^{10} x^{5}}{5}+\frac{5 a \,b^{9} x^{4}}{2}+15 a^{2} b^{8} x^{3}+60 a^{3} b^{7} x^{2}+252 a^{5} b^{5} \ln \left(x \right)+210 a^{4} b^{6} x -\frac{210 a^{6} b^{4}}{x}-\frac{60 a^{7} b^{3}}{x^{2}}-\frac{15 a^{8} b^{2}}{x^{3}}-\frac{5 a^{9} b}{2 x^{4}}-\frac{a^{10}}{5 x^{5}}"," ",0,"-1/5*a^10/x^5-5/2*a^9*b/x^4-15*a^8*b^2/x^3-60*a^7*b^3/x^2-210*a^6*b^4/x+210*a^4*b^6*x+60*a^3*b^7*x^2+15*a^2*b^8*x^3+5/2*a*b^9*x^4+1/5*b^10*x^5+252*a^5*b^5*ln(x)","A"
141,1,110,109,0.008000," ","int((b*x+a)^10/x^7,x)","\frac{b^{10} x^{4}}{4}+\frac{10 a \,b^{9} x^{3}}{3}+\frac{45 a^{2} b^{8} x^{2}}{2}+210 a^{4} b^{6} \ln \left(x \right)+120 a^{3} b^{7} x -\frac{252 a^{5} b^{5}}{x}-\frac{105 a^{6} b^{4}}{x^{2}}-\frac{40 a^{7} b^{3}}{x^{3}}-\frac{45 a^{8} b^{2}}{4 x^{4}}-\frac{2 a^{9} b}{x^{5}}-\frac{a^{10}}{6 x^{6}}"," ",0,"-1/6*a^10/x^6-2*a^9*b/x^5-45/4*a^8*b^2/x^4-40*a^7*b^3/x^3-105*a^6*b^4/x^2-252*a^5*b^5/x+120*a^3*b^7*x+45/2*a^2*b^8*x^2+10/3*a*b^9*x^3+1/4*b^10*x^4+210*a^4*b^6*ln(x)","A"
142,1,110,109,0.009000," ","int((b*x+a)^10/x^8,x)","\frac{b^{10} x^{3}}{3}+5 a \,b^{9} x^{2}+120 a^{3} b^{7} \ln \left(x \right)+45 a^{2} b^{8} x -\frac{210 a^{4} b^{6}}{x}-\frac{126 a^{5} b^{5}}{x^{2}}-\frac{70 a^{6} b^{4}}{x^{3}}-\frac{30 a^{7} b^{3}}{x^{4}}-\frac{9 a^{8} b^{2}}{x^{5}}-\frac{5 a^{9} b}{3 x^{6}}-\frac{a^{10}}{7 x^{7}}"," ",0,"-1/7*a^10/x^7-5/3*a^9*b/x^6-9*a^8*b^2/x^5-30*a^7*b^3/x^4-70*a^6*b^4/x^3-126*a^5*b^5/x^2-210*a^4*b^6/x+45*a^2*b^8*x+5*a*b^9*x^2+1/3*b^10*x^3+120*a^3*b^7*ln(x)","A"
143,1,110,109,0.009000," ","int((b*x+a)^10/x^9,x)","\frac{b^{10} x^{2}}{2}+45 a^{2} b^{8} \ln \left(x \right)+10 a \,b^{9} x -\frac{120 a^{3} b^{7}}{x}-\frac{105 a^{4} b^{6}}{x^{2}}-\frac{84 a^{5} b^{5}}{x^{3}}-\frac{105 a^{6} b^{4}}{2 x^{4}}-\frac{24 a^{7} b^{3}}{x^{5}}-\frac{15 a^{8} b^{2}}{2 x^{6}}-\frac{10 a^{9} b}{7 x^{7}}-\frac{a^{10}}{8 x^{8}}"," ",0,"-1/8*a^10/x^8-10/7*a^9*b/x^7-15/2*a^8*b^2/x^6-24*a^7*b^3/x^5-105/2*a^6*b^4/x^4-84*a^5*b^5/x^3-105*a^4*b^6/x^2-120*a^3*b^7/x+10*a*b^9*x+1/2*b^10*x^2+45*a^2*b^8*ln(x)","A"
144,1,109,108,0.008000," ","int((b*x+a)^10/x^10,x)","10 a \,b^{9} \ln \left(x \right)+b^{10} x -\frac{45 a^{2} b^{8}}{x}-\frac{60 a^{3} b^{7}}{x^{2}}-\frac{70 a^{4} b^{6}}{x^{3}}-\frac{63 a^{5} b^{5}}{x^{4}}-\frac{42 a^{6} b^{4}}{x^{5}}-\frac{20 a^{7} b^{3}}{x^{6}}-\frac{45 a^{8} b^{2}}{7 x^{7}}-\frac{5 a^{9} b}{4 x^{8}}-\frac{a^{10}}{9 x^{9}}"," ",0,"-1/9*a^10/x^9-5/4*a^9*b/x^8-45/7*a^8*b^2/x^7-20*a^7*b^3/x^6-42*a^6*b^4/x^5-63*a^5*b^5/x^4-70*a^4*b^6/x^3-60*a^3*b^7/x^2-45*a^2*b^8/x+b^10*x+10*a*b^9*ln(x)","A"
145,1,111,110,0.009000," ","int((b*x+a)^10/x^11,x)","b^{10} \ln \left(x \right)-\frac{10 a \,b^{9}}{x}-\frac{45 a^{2} b^{8}}{2 x^{2}}-\frac{40 a^{3} b^{7}}{x^{3}}-\frac{105 a^{4} b^{6}}{2 x^{4}}-\frac{252 a^{5} b^{5}}{5 x^{5}}-\frac{35 a^{6} b^{4}}{x^{6}}-\frac{120 a^{7} b^{3}}{7 x^{7}}-\frac{45 a^{8} b^{2}}{8 x^{8}}-\frac{10 a^{9} b}{9 x^{9}}-\frac{a^{10}}{10 x^{10}}"," ",0,"-1/10*a^10/x^10-10/9*a^9*b/x^9-45/8*a^8*b^2/x^8-120/7*a^7*b^3/x^7-35*a^6*b^4/x^6-252/5*a^5*b^5/x^5-105/2*a^4*b^6/x^4-40*a^3*b^7/x^3-45/2*a^2*b^8/x^2-10*a*b^9/x+b^10*ln(x)","A"
146,1,113,15,0.006000," ","int((b*x+a)^10/x^12,x)","-\frac{b^{10}}{x}-\frac{5 a \,b^{9}}{x^{2}}-\frac{15 a^{2} b^{8}}{x^{3}}-\frac{30 a^{3} b^{7}}{x^{4}}-\frac{42 a^{4} b^{6}}{x^{5}}-\frac{42 a^{5} b^{5}}{x^{6}}-\frac{30 a^{6} b^{4}}{x^{7}}-\frac{15 a^{7} b^{3}}{x^{8}}-\frac{5 a^{8} b^{2}}{x^{9}}-\frac{a^{9} b}{x^{10}}-\frac{a^{10}}{11 x^{11}}"," ",0,"-1/11*a^10/x^11-42*a^5*b^5/x^6-5*a*b^9/x^2-5*a^8*b^2/x^9-15*a^2*b^8/x^3-30*a^3*b^7/x^4-42*a^4*b^6/x^5-b^10/x-a^9*b/x^10-30*a^6*b^4/x^7-15*a^7*b^3/x^8","B"
147,1,113,32,0.004000," ","int((b*x+a)^10/x^13,x)","-\frac{b^{10}}{2 x^{2}}-\frac{10 a \,b^{9}}{3 x^{3}}-\frac{45 a^{2} b^{8}}{4 x^{4}}-\frac{24 a^{3} b^{7}}{x^{5}}-\frac{35 a^{4} b^{6}}{x^{6}}-\frac{36 a^{5} b^{5}}{x^{7}}-\frac{105 a^{6} b^{4}}{4 x^{8}}-\frac{40 a^{7} b^{3}}{3 x^{9}}-\frac{9 a^{8} b^{2}}{2 x^{10}}-\frac{10 a^{9} b}{11 x^{11}}-\frac{a^{10}}{12 x^{12}}"," ",0,"-35*a^4*b^6/x^6-10/11*a^9*b/x^11-1/12*a^10/x^12-40/3*a^7*b^3/x^9-10/3*a*b^9/x^3-45/4*a^2*b^8/x^4-1/2*b^10/x^2-24*a^3*b^7/x^5-9/2*a^8*b^2/x^10-36*a^5*b^5/x^7-105/4*a^6*b^4/x^8","B"
148,1,113,50,0.005000," ","int((b*x+a)^10/x^14,x)","-\frac{b^{10}}{3 x^{3}}-\frac{5 a \,b^{9}}{2 x^{4}}-\frac{9 a^{2} b^{8}}{x^{5}}-\frac{20 a^{3} b^{7}}{x^{6}}-\frac{30 a^{4} b^{6}}{x^{7}}-\frac{63 a^{5} b^{5}}{2 x^{8}}-\frac{70 a^{6} b^{4}}{3 x^{9}}-\frac{12 a^{7} b^{3}}{x^{10}}-\frac{45 a^{8} b^{2}}{11 x^{11}}-\frac{5 a^{9} b}{6 x^{12}}-\frac{a^{10}}{13 x^{13}}"," ",0,"-20*a^3*b^7/x^6-1/13*a^10/x^13-70/3*a^6*b^4/x^9-9*a^2*b^8/x^5-1/3*b^10/x^3-45/11*a^8*b^2/x^11-5/2*a*b^9/x^4-12*a^7*b^3/x^10-5/6*a^9*b/x^12-30*a^4*b^6/x^7-63/2*a^5*b^5/x^8","B"
149,1,113,68,0.007000," ","int((b*x+a)^10/x^15,x)","-\frac{b^{10}}{4 x^{4}}-\frac{2 a \,b^{9}}{x^{5}}-\frac{15 a^{2} b^{8}}{2 x^{6}}-\frac{120 a^{3} b^{7}}{7 x^{7}}-\frac{105 a^{4} b^{6}}{4 x^{8}}-\frac{28 a^{5} b^{5}}{x^{9}}-\frac{21 a^{6} b^{4}}{x^{10}}-\frac{120 a^{7} b^{3}}{11 x^{11}}-\frac{15 a^{8} b^{2}}{4 x^{12}}-\frac{10 a^{9} b}{13 x^{13}}-\frac{a^{10}}{14 x^{14}}"," ",0,"-15/4*a^8*b^2/x^12-15/2*a^2*b^8/x^6-10/13*a^9*b/x^13-28*a^5*b^5/x^9-1/4*b^10/x^4-120/11*a^7*b^3/x^11-2*a*b^9/x^5-1/14*a^10/x^14-21*a^6*b^4/x^10-120/7*a^3*b^7/x^7-105/4*a^4*b^6/x^8","A"
150,1,113,86,0.006000," ","int((b*x+a)^10/x^16,x)","-\frac{b^{10}}{5 x^{5}}-\frac{5 a \,b^{9}}{3 x^{6}}-\frac{45 a^{2} b^{8}}{7 x^{7}}-\frac{15 a^{3} b^{7}}{x^{8}}-\frac{70 a^{4} b^{6}}{3 x^{9}}-\frac{126 a^{5} b^{5}}{5 x^{10}}-\frac{210 a^{6} b^{4}}{11 x^{11}}-\frac{10 a^{7} b^{3}}{x^{12}}-\frac{45 a^{8} b^{2}}{13 x^{13}}-\frac{5 a^{9} b}{7 x^{14}}-\frac{a^{10}}{15 x^{15}}"," ",0,"-5/3*a*b^9/x^6-210/11*a^6*b^4/x^11-70/3*a^4*b^6/x^9-1/5*b^10/x^5-45/13*a^8*b^2/x^13-5/7*a^9*b/x^14-10*a^7*b^3/x^12-126/5*a^5*b^5/x^10-1/15*a^10/x^15-45/7*a^2*b^8/x^7-15*a^3*b^7/x^8","A"
151,1,113,104,0.006000," ","int((b*x+a)^10/x^17,x)","-\frac{b^{10}}{6 x^{6}}-\frac{10 a \,b^{9}}{7 x^{7}}-\frac{45 a^{2} b^{8}}{8 x^{8}}-\frac{40 a^{3} b^{7}}{3 x^{9}}-\frac{21 a^{4} b^{6}}{x^{10}}-\frac{252 a^{5} b^{5}}{11 x^{11}}-\frac{35 a^{6} b^{4}}{2 x^{12}}-\frac{120 a^{7} b^{3}}{13 x^{13}}-\frac{45 a^{8} b^{2}}{14 x^{14}}-\frac{2 a^{9} b}{3 x^{15}}-\frac{a^{10}}{16 x^{16}}"," ",0,"-1/6*b^10/x^6-120/13*a^7*b^3/x^13-40/3*a^3*b^7/x^9-252/11*a^5*b^5/x^11-45/14*a^8*b^2/x^14-1/16*a^10/x^16-21*a^4*b^6/x^10-2/3*a^9*b/x^15-10/7*a*b^9/x^7-45/8*a^2*b^8/x^8-35/2*a^6*b^4/x^12","A"
152,1,113,122,0.007000," ","int((b*x+a)^10/x^18,x)","-\frac{b^{10}}{7 x^{7}}-\frac{5 a \,b^{9}}{4 x^{8}}-\frac{5 a^{2} b^{8}}{x^{9}}-\frac{12 a^{3} b^{7}}{x^{10}}-\frac{210 a^{4} b^{6}}{11 x^{11}}-\frac{21 a^{5} b^{5}}{x^{12}}-\frac{210 a^{6} b^{4}}{13 x^{13}}-\frac{60 a^{7} b^{3}}{7 x^{14}}-\frac{3 a^{8} b^{2}}{x^{15}}-\frac{5 a^{9} b}{8 x^{16}}-\frac{a^{10}}{17 x^{17}}"," ",0,"-3*a^8*b^2/x^15-12*a^3*b^7/x^10-5*a^2*b^8/x^9-21*a^5*b^5/x^12-1/17*a^10/x^17-5/8*a^9*b/x^16-60/7*a^7*b^3/x^14-210/13*a^6*b^4/x^13-1/7*b^10/x^7-5/4*a*b^9/x^8-210/11*a^4*b^6/x^11","A"
153,1,113,112,0.007000," ","int((b*x+a)^10/x^19,x)","-\frac{b^{10}}{8 x^{8}}-\frac{10 a \,b^{9}}{9 x^{9}}-\frac{9 a^{2} b^{8}}{2 x^{10}}-\frac{120 a^{3} b^{7}}{11 x^{11}}-\frac{35 a^{4} b^{6}}{2 x^{12}}-\frac{252 a^{5} b^{5}}{13 x^{13}}-\frac{15 a^{6} b^{4}}{x^{14}}-\frac{8 a^{7} b^{3}}{x^{15}}-\frac{45 a^{8} b^{2}}{16 x^{16}}-\frac{10 a^{9} b}{17 x^{17}}-\frac{a^{10}}{18 x^{18}}"," ",0,"-1/18*a^10/x^18-10/17*a^9*b/x^17-45/16*a^8*b^2/x^16-8*a^7*b^3/x^15-15*a^6*b^4/x^14-252/13*a^5*b^5/x^13-35/2*a^4*b^6/x^12-120/11*a^3*b^7/x^11-9/2*a^2*b^8/x^10-10/9*a*b^9/x^9-1/8*b^10/x^8","A"
154,1,113,112,0.007000," ","int((b*x+a)^10/x^20,x)","-\frac{b^{10}}{9 x^{9}}-\frac{a \,b^{9}}{x^{10}}-\frac{45 a^{2} b^{8}}{11 x^{11}}-\frac{10 a^{3} b^{7}}{x^{12}}-\frac{210 a^{4} b^{6}}{13 x^{13}}-\frac{18 a^{5} b^{5}}{x^{14}}-\frac{14 a^{6} b^{4}}{x^{15}}-\frac{15 a^{7} b^{3}}{2 x^{16}}-\frac{45 a^{8} b^{2}}{17 x^{17}}-\frac{5 a^{9} b}{9 x^{18}}-\frac{a^{10}}{19 x^{19}}"," ",0,"-1/19*a^10/x^19-5/9*a^9*b/x^18-45/17*a^8*b^2/x^17-15/2*a^7*b^3/x^16-14*a^6*b^4/x^15-18*a^5*b^5/x^14-210/13*a^4*b^6/x^13-10*a^3*b^7/x^12-45/11*a^2*b^8/x^11-a*b^9/x^10-1/9*b^10/x^9","A"
155,1,13,13,0.002000," ","int(c*(b*x+a),x)","\left(\frac{1}{2} b \,x^{2}+a x \right) c"," ",0,"c*(1/2*b*x^2+a*x)","A"
156,1,18,18,0.000000," ","int((c+d)*(b*x+a)/e,x)","\frac{\left(c +d \right) \left(\frac{1}{2} b \,x^{2}+a x \right)}{e}"," ",0,"(c+d)/e*(1/2*b*x^2+a*x)","A"
157,1,63,62,0.003000," ","int(x^5/(b*x+a),x)","\frac{x^{5}}{5 b}-\frac{a \,x^{4}}{4 b^{2}}+\frac{a^{2} x^{3}}{3 b^{3}}-\frac{a^{3} x^{2}}{2 b^{4}}-\frac{a^{5} \ln \left(b x +a \right)}{b^{6}}+\frac{a^{4} x}{b^{5}}"," ",0,"a^4*x/b^5-1/2*a^3*x^2/b^4+1/3*a^2*x^3/b^3-1/4*a*x^4/b^2+1/5*x^5/b-a^5*ln(b*x+a)/b^6","A"
158,1,52,51,0.003000," ","int(x^4/(b*x+a),x)","\frac{x^{4}}{4 b}-\frac{a \,x^{3}}{3 b^{2}}+\frac{a^{2} x^{2}}{2 b^{3}}+\frac{a^{4} \ln \left(b x +a \right)}{b^{5}}-\frac{a^{3} x}{b^{4}}"," ",0,"-a^3*x/b^4+1/2*a^2*x^2/b^3-1/3*a*x^3/b^2+1/4*x^4/b+a^4*ln(b*x+a)/b^5","A"
159,1,41,40,0.003000," ","int(x^3/(b*x+a),x)","\frac{x^{3}}{3 b}-\frac{a \,x^{2}}{2 b^{2}}-\frac{a^{3} \ln \left(b x +a \right)}{b^{4}}+\frac{a^{2} x}{b^{3}}"," ",0,"a^2*x/b^3-1/2*a*x^2/b^2+1/3*x^3/b-a^3*ln(b*x+a)/b^4","A"
160,1,30,29,0.003000," ","int(x^2/(b*x+a),x)","\frac{x^{2}}{2 b}+\frac{a^{2} \ln \left(b x +a \right)}{b^{3}}-\frac{a x}{b^{2}}"," ",0,"-a*x/b^2+1/2*x^2/b+a^2*ln(b*x+a)/b^3","A"
161,1,19,18,0.001000," ","int(x/(b*x+a),x)","-\frac{a \ln \left(b x +a \right)}{b^{2}}+\frac{x}{b}"," ",0,"x/b-a*ln(b*x+a)/b^2","A"
162,1,11,10,0.000000," ","int(1/(b*x+a),x)","\frac{\ln \left(b x +a \right)}{b}"," ",0,"ln(b*x+a)/b","A"
163,1,19,18,0.005000," ","int(1/x/(b*x+a),x)","\frac{\ln \left(x \right)}{a}-\frac{\ln \left(b x +a \right)}{a}"," ",0,"ln(x)/a-ln(b*x+a)/a","A"
164,1,29,28,0.008000," ","int(1/x^2/(b*x+a),x)","-\frac{b \ln \left(x \right)}{a^{2}}+\frac{b \ln \left(b x +a \right)}{a^{2}}-\frac{1}{a x}"," ",0,"-1/a/x-b*ln(x)/a^2+b*ln(b*x+a)/a^2","A"
165,1,41,40,0.007000," ","int(1/x^3/(b*x+a),x)","\frac{b^{2} \ln \left(x \right)}{a^{3}}-\frac{b^{2} \ln \left(b x +a \right)}{a^{3}}+\frac{b}{a^{2} x}-\frac{1}{2 a \,x^{2}}"," ",0,"-1/2/a/x^2+b/a^2/x+b^2*ln(x)/a^3-b^2*ln(b*x+a)/a^3","A"
166,1,53,52,0.007000," ","int(1/x^4/(b*x+a),x)","-\frac{b^{3} \ln \left(x \right)}{a^{4}}+\frac{b^{3} \ln \left(b x +a \right)}{a^{4}}-\frac{b^{2}}{a^{3} x}+\frac{b}{2 a^{2} x^{2}}-\frac{1}{3 a \,x^{3}}"," ",0,"-1/3/a/x^3+1/2*b/a^2/x^2-b^2/a^3/x-b^3*ln(x)/a^4+b^3*ln(b*x+a)/a^4","A"
167,1,63,62,0.007000," ","int(1/x^5/(b*x+a),x)","\frac{b^{4} \ln \left(x \right)}{a^{5}}-\frac{b^{4} \ln \left(b x +a \right)}{a^{5}}+\frac{b^{3}}{a^{4} x}-\frac{b^{2}}{2 a^{3} x^{2}}+\frac{b}{3 a^{2} x^{3}}-\frac{1}{4 a \,x^{4}}"," ",0,"-1/4/a/x^4+1/3*b/a^2/x^3-1/2*b^2/a^3/x^2+b^3/a^4/x+b^4*ln(x)/a^5-b^4*ln(b*x+a)/a^5","A"
168,1,78,77,0.009000," ","int(x^6/(b*x+a)^2,x)","\frac{x^{5}}{5 b^{2}}-\frac{a \,x^{4}}{2 b^{3}}+\frac{a^{2} x^{3}}{b^{4}}-\frac{2 a^{3} x^{2}}{b^{5}}-\frac{a^{6}}{\left(b x +a \right) b^{7}}-\frac{6 a^{5} \ln \left(b x +a \right)}{b^{7}}+\frac{5 a^{4} x}{b^{6}}"," ",0,"5*a^4*x/b^6-2*a^3*x^2/b^5+a^2*x^3/b^4-1/2*a*x^4/b^3+1/5*x^5/b^2-a^6/b^7/(b*x+a)-6*a^5*ln(b*x+a)/b^7","A"
169,1,67,66,0.007000," ","int(x^5/(b*x+a)^2,x)","\frac{x^{4}}{4 b^{2}}-\frac{2 a \,x^{3}}{3 b^{3}}+\frac{3 a^{2} x^{2}}{2 b^{4}}+\frac{a^{5}}{\left(b x +a \right) b^{6}}+\frac{5 a^{4} \ln \left(b x +a \right)}{b^{6}}-\frac{4 a^{3} x}{b^{5}}"," ",0,"-4*a^3*x/b^5+3/2*a^2*x^2/b^4-2/3*a*x^3/b^3+1/4*x^4/b^2+a^5/b^6/(b*x+a)+5*a^4*ln(b*x+a)/b^6","A"
170,1,57,56,0.009000," ","int(x^4/(b*x+a)^2,x)","\frac{x^{3}}{3 b^{2}}-\frac{a \,x^{2}}{b^{3}}-\frac{a^{4}}{\left(b x +a \right) b^{5}}-\frac{4 a^{3} \ln \left(b x +a \right)}{b^{5}}+\frac{3 a^{2} x}{b^{4}}"," ",0,"3*a^2*x/b^4-a*x^2/b^3+1/3*x^3/b^2-a^4/b^5/(b*x+a)-4*a^3*ln(b*x+a)/b^5","A"
171,1,45,44,0.006000," ","int(x^3/(b*x+a)^2,x)","\frac{x^{2}}{2 b^{2}}+\frac{a^{3}}{\left(b x +a \right) b^{4}}+\frac{3 a^{2} \ln \left(b x +a \right)}{b^{4}}-\frac{2 a x}{b^{3}}"," ",0,"-2*a*x/b^3+1/2*x^2/b^2+a^3/b^4/(b*x+a)+3*a^2*ln(b*x+a)/b^4","A"
172,1,34,33,0.006000," ","int(x^2/(b*x+a)^2,x)","-\frac{a^{2}}{\left(b x +a \right) b^{3}}-\frac{2 a \ln \left(b x +a \right)}{b^{3}}+\frac{x}{b^{2}}"," ",0,"x/b^2-a^2/b^3/(b*x+a)-2*a*ln(b*x+a)/b^3","A"
173,1,24,23,0.007000," ","int(x/(b*x+a)^2,x)","\frac{a}{\left(b x +a \right) b^{2}}+\frac{\ln \left(b x +a \right)}{b^{2}}"," ",0,"a/b^2/(b*x+a)+ln(b*x+a)/b^2","A"
174,1,13,12,0.000000," ","int(1/(b*x+a)^2,x)","-\frac{1}{\left(b x +a \right) b}"," ",0,"-1/b/(b*x+a)","A"
175,1,30,29,0.008000," ","int(1/x/(b*x+a)^2,x)","\frac{1}{\left(b x +a \right) a}+\frac{\ln \left(x \right)}{a^{2}}-\frac{\ln \left(b x +a \right)}{a^{2}}"," ",0,"1/a/(b*x+a)+ln(x)/a^2-ln(b*x+a)/a^2","A"
176,1,43,42,0.008000," ","int(1/x^2/(b*x+a)^2,x)","-\frac{b}{\left(b x +a \right) a^{2}}-\frac{2 b \ln \left(x \right)}{a^{3}}+\frac{2 b \ln \left(b x +a \right)}{a^{3}}-\frac{1}{a^{2} x}"," ",0,"-1/a^2/x-b/a^2/(b*x+a)-2*b*ln(x)/a^3+2*b*ln(b*x+a)/a^3","A"
177,1,57,56,0.010000," ","int(1/x^3/(b*x+a)^2,x)","\frac{b^{2}}{\left(b x +a \right) a^{3}}+\frac{3 b^{2} \ln \left(x \right)}{a^{4}}-\frac{3 b^{2} \ln \left(b x +a \right)}{a^{4}}+\frac{2 b}{a^{3} x}-\frac{1}{2 a^{2} x^{2}}"," ",0,"-1/2/a^2/x^2+2*b/a^3/x+b^2/a^3/(b*x+a)+3*b^2*ln(x)/a^4-3*b^2*ln(b*x+a)/a^4","A"
178,1,68,67,0.009000," ","int(1/x^4/(b*x+a)^2,x)","-\frac{b^{3}}{\left(b x +a \right) a^{4}}-\frac{4 b^{3} \ln \left(x \right)}{a^{5}}+\frac{4 b^{3} \ln \left(b x +a \right)}{a^{5}}-\frac{3 b^{2}}{a^{4} x}+\frac{b}{a^{3} x^{2}}-\frac{1}{3 a^{2} x^{3}}"," ",0,"-1/3/a^2/x^3+b/a^3/x^2-3*b^2/a^4/x-b^3/a^4/(b*x+a)-4*b^3*ln(x)/a^5+4*b^3*ln(b*x+a)/a^5","A"
179,1,79,78,0.012000," ","int(1/x^5/(b*x+a)^2,x)","\frac{b^{4}}{\left(b x +a \right) a^{5}}+\frac{5 b^{4} \ln \left(x \right)}{a^{6}}-\frac{5 b^{4} \ln \left(b x +a \right)}{a^{6}}+\frac{4 b^{3}}{a^{5} x}-\frac{3 b^{2}}{2 a^{4} x^{2}}+\frac{2 b}{3 a^{3} x^{3}}-\frac{1}{4 a^{2} x^{4}}"," ",0,"-1/4/a^2/x^4+2/3*b/a^3/x^3-3/2*b^2/a^4/x^2+4*b^3/a^5/x+b^4/a^5/(b*x+a)+5*b^4*ln(x)/a^6-5*b^4*ln(b*x+a)/a^6","A"
180,1,94,93,0.008000," ","int(x^7/(b*x+a)^3,x)","\frac{x^{5}}{5 b^{3}}-\frac{3 a \,x^{4}}{4 b^{4}}+\frac{2 a^{2} x^{3}}{b^{5}}+\frac{a^{7}}{2 \left(b x +a \right)^{2} b^{8}}-\frac{5 a^{3} x^{2}}{b^{6}}-\frac{7 a^{6}}{\left(b x +a \right) b^{8}}-\frac{21 a^{5} \ln \left(b x +a \right)}{b^{8}}+\frac{15 a^{4} x}{b^{7}}"," ",0,"15*a^4*x/b^7-5*a^3*x^2/b^6+2*a^2*x^3/b^5-3/4*a*x^4/b^4+1/5*x^5/b^3+1/2*a^7/b^8/(b*x+a)^2-7*a^6/b^8/(b*x+a)-21*a^5*ln(b*x+a)/b^8","A"
181,1,83,82,0.007000," ","int(x^6/(b*x+a)^3,x)","\frac{x^{4}}{4 b^{3}}-\frac{a \,x^{3}}{b^{4}}-\frac{a^{6}}{2 \left(b x +a \right)^{2} b^{7}}+\frac{3 a^{2} x^{2}}{b^{5}}+\frac{6 a^{5}}{\left(b x +a \right) b^{7}}+\frac{15 a^{4} \ln \left(b x +a \right)}{b^{7}}-\frac{10 a^{3} x}{b^{6}}"," ",0,"-10*a^3*x/b^6+3*a^2*x^2/b^5-a*x^3/b^4+1/4*x^4/b^3-1/2*a^6/b^7/(b*x+a)^2+6*a^5/b^7/(b*x+a)+15*a^4*ln(b*x+a)/b^7","A"
182,1,72,71,0.007000," ","int(x^5/(b*x+a)^3,x)","\frac{x^{3}}{3 b^{3}}+\frac{a^{5}}{2 \left(b x +a \right)^{2} b^{6}}-\frac{3 a \,x^{2}}{2 b^{4}}-\frac{5 a^{4}}{\left(b x +a \right) b^{6}}-\frac{10 a^{3} \ln \left(b x +a \right)}{b^{6}}+\frac{6 a^{2} x}{b^{5}}"," ",0,"6*a^2*x/b^5-3/2*a*x^2/b^4+1/3*x^3/b^3+1/2*a^5/b^6/(b*x+a)^2-5*a^4/b^6/(b*x+a)-10*a^3*ln(b*x+a)/b^6","A"
183,1,61,60,0.007000," ","int(x^4/(b*x+a)^3,x)","-\frac{a^{4}}{2 \left(b x +a \right)^{2} b^{5}}+\frac{x^{2}}{2 b^{3}}+\frac{4 a^{3}}{\left(b x +a \right) b^{5}}+\frac{6 a^{2} \ln \left(b x +a \right)}{b^{5}}-\frac{3 a x}{b^{4}}"," ",0,"-3*a*x/b^4+1/2*x^2/b^3-1/2*a^4/b^5/(b*x+a)^2+4*a^3/b^5/(b*x+a)+6*a^2*ln(b*x+a)/b^5","A"
184,1,49,48,0.007000," ","int(x^3/(b*x+a)^3,x)","\frac{a^{3}}{2 \left(b x +a \right)^{2} b^{4}}-\frac{3 a^{2}}{\left(b x +a \right) b^{4}}-\frac{3 a \ln \left(b x +a \right)}{b^{4}}+\frac{x}{b^{3}}"," ",0,"x/b^3+1/2*a^3/b^4/(b*x+a)^2-3*a^2/b^4/(b*x+a)-3*a*ln(b*x+a)/b^4","A"
185,1,40,39,0.006000," ","int(x^2/(b*x+a)^3,x)","-\frac{a^{2}}{2 \left(b x +a \right)^{2} b^{3}}+\frac{2 a}{\left(b x +a \right) b^{3}}+\frac{\ln \left(b x +a \right)}{b^{3}}"," ",0,"-1/2*a^2/b^3/(b*x+a)^2+2*a/b^3/(b*x+a)+ln(b*x+a)/b^3","A"
186,1,27,15,0.003000," ","int(x/(b*x+a)^3,x)","\frac{a}{2 \left(b x +a \right)^{2} b^{2}}-\frac{1}{\left(b x +a \right) b^{2}}"," ",0,"1/2*a/b^2/(b*x+a)^2-1/b^2/(b*x+a)","A"
187,1,13,12,0.000000," ","int(1/(b*x+a)^3,x)","-\frac{1}{2 \left(b x +a \right)^{2} b}"," ",0,"-1/2/b/(b*x+a)^2","A"
188,1,42,41,0.008000," ","int(1/x/(b*x+a)^3,x)","\frac{1}{2 \left(b x +a \right)^{2} a}+\frac{1}{\left(b x +a \right) a^{2}}+\frac{\ln \left(x \right)}{a^{3}}-\frac{\ln \left(b x +a \right)}{a^{3}}"," ",0,"1/2/a/(b*x+a)^2+1/a^2/(b*x+a)+ln(x)/a^3-ln(b*x+a)/a^3","A"
189,1,56,55,0.009000," ","int(1/x^2/(b*x+a)^3,x)","-\frac{b}{2 \left(b x +a \right)^{2} a^{2}}-\frac{2 b}{\left(b x +a \right) a^{3}}-\frac{3 b \ln \left(x \right)}{a^{4}}+\frac{3 b \ln \left(b x +a \right)}{a^{4}}-\frac{1}{a^{3} x}"," ",0,"-1/a^3/x-1/2*b/a^2/(b*x+a)^2-2*b/a^3/(b*x+a)-3*b*ln(x)/a^4+3*b*ln(b*x+a)/a^4","A"
190,1,73,72,0.010000," ","int(1/x^3/(b*x+a)^3,x)","\frac{b^{2}}{2 \left(b x +a \right)^{2} a^{3}}+\frac{3 b^{2}}{\left(b x +a \right) a^{4}}+\frac{6 b^{2} \ln \left(x \right)}{a^{5}}-\frac{6 b^{2} \ln \left(b x +a \right)}{a^{5}}+\frac{3 b}{a^{4} x}-\frac{1}{2 a^{3} x^{2}}"," ",0,"-1/2/a^3/x^2+3*b/a^4/x+1/2*b^2/a^3/(b*x+a)^2+3*b^2/a^4/(b*x+a)+6*b^2*ln(x)/a^5-6*b^2*ln(b*x+a)/a^5","A"
191,1,84,83,0.012000," ","int(1/x^4/(b*x+a)^3,x)","-\frac{b^{3}}{2 \left(b x +a \right)^{2} a^{4}}-\frac{4 b^{3}}{\left(b x +a \right) a^{5}}-\frac{10 b^{3} \ln \left(x \right)}{a^{6}}+\frac{10 b^{3} \ln \left(b x +a \right)}{a^{6}}-\frac{6 b^{2}}{a^{5} x}+\frac{3 b}{2 a^{4} x^{2}}-\frac{1}{3 a^{3} x^{3}}"," ",0,"-1/3/a^3/x^3+3/2*b/a^4/x^2-6*b^2/a^5/x-1/2*b^3/a^4/(b*x+a)^2-4*b^3/a^5/(b*x+a)-10*b^3*ln(x)/a^6+10*b^3*ln(b*x+a)/a^6","A"
192,1,94,93,0.012000," ","int(1/x^5/(b*x+a)^3,x)","\frac{b^{4}}{2 \left(b x +a \right)^{2} a^{5}}+\frac{5 b^{4}}{\left(b x +a \right) a^{6}}+\frac{15 b^{4} \ln \left(x \right)}{a^{7}}-\frac{15 b^{4} \ln \left(b x +a \right)}{a^{7}}+\frac{10 b^{3}}{a^{6} x}-\frac{3 b^{2}}{a^{5} x^{2}}+\frac{b}{a^{4} x^{3}}-\frac{1}{4 a^{3} x^{4}}"," ",0,"-1/4/a^3/x^4+b/a^4/x^3-3*b^2/a^5/x^2+10*b^3/a^6/x+1/2*b^4/a^5/(b*x+a)^2+5*b^4/a^6/(b*x+a)+15*b^4*ln(x)/a^7-15*b^4*ln(b*x+a)/a^7","A"
193,1,109,108,0.008000," ","int(x^8/(b*x+a)^4,x)","\frac{x^{5}}{5 b^{4}}-\frac{a \,x^{4}}{b^{5}}-\frac{a^{8}}{3 \left(b x +a \right)^{3} b^{9}}+\frac{10 a^{2} x^{3}}{3 b^{6}}+\frac{4 a^{7}}{\left(b x +a \right)^{2} b^{9}}-\frac{10 a^{3} x^{2}}{b^{7}}-\frac{28 a^{6}}{\left(b x +a \right) b^{9}}-\frac{56 a^{5} \ln \left(b x +a \right)}{b^{9}}+\frac{35 a^{4} x}{b^{8}}"," ",0,"35*a^4*x/b^8-10*a^3*x^2/b^7+10/3*a^2*x^3/b^6-a*x^4/b^5+1/5*x^5/b^4-1/3*a^8/b^9/(b*x+a)^3+4*a^7/b^9/(b*x+a)^2-28*a^6/b^9/(b*x+a)-56*a^5*ln(b*x+a)/b^9","A"
194,1,98,97,0.008000," ","int(x^7/(b*x+a)^4,x)","\frac{x^{4}}{4 b^{4}}+\frac{a^{7}}{3 \left(b x +a \right)^{3} b^{8}}-\frac{4 a \,x^{3}}{3 b^{5}}-\frac{7 a^{6}}{2 \left(b x +a \right)^{2} b^{8}}+\frac{5 a^{2} x^{2}}{b^{6}}+\frac{21 a^{5}}{\left(b x +a \right) b^{8}}+\frac{35 a^{4} \ln \left(b x +a \right)}{b^{8}}-\frac{20 a^{3} x}{b^{7}}"," ",0,"-20*a^3*x/b^7+5*a^2*x^2/b^6-4/3*a*x^3/b^5+1/4*x^4/b^4+1/3*a^7/b^8/(b*x+a)^3-7/2*a^6/b^8/(b*x+a)^2+21*a^5/b^8/(b*x+a)+35*a^4*ln(b*x+a)/b^8","A"
195,1,87,86,0.009000," ","int(x^6/(b*x+a)^4,x)","-\frac{a^{6}}{3 \left(b x +a \right)^{3} b^{7}}+\frac{x^{3}}{3 b^{4}}+\frac{3 a^{5}}{\left(b x +a \right)^{2} b^{7}}-\frac{2 a \,x^{2}}{b^{5}}-\frac{15 a^{4}}{\left(b x +a \right) b^{7}}-\frac{20 a^{3} \ln \left(b x +a \right)}{b^{7}}+\frac{10 a^{2} x}{b^{6}}"," ",0,"10*a^2*x/b^6-2*a*x^2/b^5+1/3*x^3/b^4-1/3*a^6/b^7/(b*x+a)^3+3*a^5/b^7/(b*x+a)^2-15*a^4/b^7/(b*x+a)-20*a^3*ln(b*x+a)/b^7","A"
196,1,76,75,0.008000," ","int(x^5/(b*x+a)^4,x)","\frac{a^{5}}{3 \left(b x +a \right)^{3} b^{6}}-\frac{5 a^{4}}{2 \left(b x +a \right)^{2} b^{6}}+\frac{x^{2}}{2 b^{4}}+\frac{10 a^{3}}{\left(b x +a \right) b^{6}}+\frac{10 a^{2} \ln \left(b x +a \right)}{b^{6}}-\frac{4 a x}{b^{5}}"," ",0,"-4*a*x/b^5+1/2*x^2/b^4+1/3*a^5/b^6/(b*x+a)^3-5/2*a^4/b^6/(b*x+a)^2+10*a^3/b^6/(b*x+a)+10*a^2*ln(b*x+a)/b^6","A"
197,1,64,63,0.008000," ","int(x^4/(b*x+a)^4,x)","-\frac{a^{4}}{3 \left(b x +a \right)^{3} b^{5}}+\frac{2 a^{3}}{\left(b x +a \right)^{2} b^{5}}-\frac{6 a^{2}}{\left(b x +a \right) b^{5}}-\frac{4 a \ln \left(b x +a \right)}{b^{5}}+\frac{x}{b^{4}}"," ",0,"x/b^4-1/3*a^4/b^5/(b*x+a)^3+2*a^3/b^5/(b*x+a)^2-6*a^2/b^5/(b*x+a)-4*a*ln(b*x+a)/b^5","A"
198,1,55,54,0.006000," ","int(x^3/(b*x+a)^4,x)","\frac{a^{3}}{3 \left(b x +a \right)^{3} b^{4}}-\frac{3 a^{2}}{2 \left(b x +a \right)^{2} b^{4}}+\frac{3 a}{\left(b x +a \right) b^{4}}+\frac{\ln \left(b x +a \right)}{b^{4}}"," ",0,"1/3*a^3/b^4/(b*x+a)^3-3/2*a^2/b^4/(b*x+a)^2+3*a/b^4/(b*x+a)+ln(b*x+a)/b^4","A"
199,1,41,15,0.005000," ","int(x^2/(b*x+a)^4,x)","-\frac{a^{2}}{3 \left(b x +a \right)^{3} b^{3}}+\frac{a}{\left(b x +a \right)^{2} b^{3}}-\frac{1}{\left(b x +a \right) b^{3}}"," ",0,"a/b^3/(b*x+a)^2-1/3*a^2/b^3/(b*x+a)^3-1/b^3/(b*x+a)","B"
200,1,27,26,0.005000," ","int(x/(b*x+a)^4,x)","\frac{a}{3 \left(b x +a \right)^{3} b^{2}}-\frac{1}{2 \left(b x +a \right)^{2} b^{2}}"," ",0,"1/3*a/b^2/(b*x+a)^3-1/2/b^2/(b*x+a)^2","A"
201,1,13,12,0.002000," ","int(1/(b*x+a)^4,x)","-\frac{1}{3 \left(b x +a \right)^{3} b}"," ",0,"-1/3/b/(b*x+a)^3","A"
202,1,54,53,0.007000," ","int(1/x/(b*x+a)^4,x)","\frac{1}{3 \left(b x +a \right)^{3} a}+\frac{1}{2 \left(b x +a \right)^{2} a^{2}}+\frac{1}{\left(b x +a \right) a^{3}}+\frac{\ln \left(x \right)}{a^{4}}-\frac{\ln \left(b x +a \right)}{a^{4}}"," ",0,"1/3/a/(b*x+a)^3+1/2/a^2/(b*x+a)^2+1/a^3/(b*x+a)+ln(x)/a^4-ln(b*x+a)/a^4","A"
203,1,69,68,0.009000," ","int(1/x^2/(b*x+a)^4,x)","-\frac{b}{3 \left(b x +a \right)^{3} a^{2}}-\frac{b}{\left(b x +a \right)^{2} a^{3}}-\frac{3 b}{\left(b x +a \right) a^{4}}-\frac{4 b \ln \left(x \right)}{a^{5}}+\frac{4 b \ln \left(b x +a \right)}{a^{5}}-\frac{1}{a^{4} x}"," ",0,"-1/a^4/x-1/3*b/a^2/(b*x+a)^3-b/a^3/(b*x+a)^2-3*b/a^4/(b*x+a)-4*b*ln(x)/a^5+4*b*ln(b*x+a)/a^5","A"
204,1,88,87,0.012000," ","int(1/x^3/(b*x+a)^4,x)","\frac{b^{2}}{3 \left(b x +a \right)^{3} a^{3}}+\frac{3 b^{2}}{2 \left(b x +a \right)^{2} a^{4}}+\frac{6 b^{2}}{\left(b x +a \right) a^{5}}+\frac{10 b^{2} \ln \left(x \right)}{a^{6}}-\frac{10 b^{2} \ln \left(b x +a \right)}{a^{6}}+\frac{4 b}{a^{5} x}-\frac{1}{2 a^{4} x^{2}}"," ",0,"-1/2/a^4/x^2+4*b/a^5/x+1/3*b^2/a^3/(b*x+a)^3+3/2*b^2/a^4/(b*x+a)^2+6*b^2/a^5/(b*x+a)+10*b^2*ln(x)/a^6-10*b^2*ln(b*x+a)/a^6","A"
205,1,99,98,0.011000," ","int(1/x^4/(b*x+a)^4,x)","-\frac{b^{3}}{3 \left(b x +a \right)^{3} a^{4}}-\frac{2 b^{3}}{\left(b x +a \right)^{2} a^{5}}-\frac{10 b^{3}}{\left(b x +a \right) a^{6}}-\frac{20 b^{3} \ln \left(x \right)}{a^{7}}+\frac{20 b^{3} \ln \left(b x +a \right)}{a^{7}}-\frac{10 b^{2}}{a^{6} x}+\frac{2 b}{a^{5} x^{2}}-\frac{1}{3 a^{4} x^{3}}"," ",0,"-1/3/a^4/x^3+2*b/a^5/x^2-10*b^2/a^6/x-1/3*b^3/a^4/(b*x+a)^3-2*b^3/a^5/(b*x+a)^2-10*b^3/a^6/(b*x+a)-20*b^3*ln(x)/a^7+20*b^3*ln(b*x+a)/a^7","A"
206,1,110,109,0.011000," ","int(1/x^5/(b*x+a)^4,x)","\frac{b^{4}}{3 \left(b x +a \right)^{3} a^{5}}+\frac{5 b^{4}}{2 \left(b x +a \right)^{2} a^{6}}+\frac{15 b^{4}}{\left(b x +a \right) a^{7}}+\frac{35 b^{4} \ln \left(x \right)}{a^{8}}-\frac{35 b^{4} \ln \left(b x +a \right)}{a^{8}}+\frac{20 b^{3}}{a^{7} x}-\frac{5 b^{2}}{a^{6} x^{2}}+\frac{4 b}{3 a^{5} x^{3}}-\frac{1}{4 a^{4} x^{4}}"," ",0,"-1/4/a^4/x^4+4/3*b/a^5/x^3-5*b^2/a^6/x^2+20*b^3/a^7/x+1/3*b^4/a^5/(b*x+a)^3+5/2*b^4/a^6/(b*x+a)^2+15*b^4/a^7/(b*x+a)+35*b^4*ln(x)/a^8-35*b^4*ln(b*x+a)/a^8","A"
207,1,143,142,0.011000," ","int(x^10/(b*x+a)^7,x)","-\frac{a^{10}}{6 \left(b x +a \right)^{6} b^{11}}+\frac{2 a^{9}}{\left(b x +a \right)^{5} b^{11}}-\frac{45 a^{8}}{4 \left(b x +a \right)^{4} b^{11}}+\frac{x^{4}}{4 b^{7}}+\frac{40 a^{7}}{\left(b x +a \right)^{3} b^{11}}-\frac{7 a \,x^{3}}{3 b^{8}}-\frac{105 a^{6}}{\left(b x +a \right)^{2} b^{11}}+\frac{14 a^{2} x^{2}}{b^{9}}+\frac{252 a^{5}}{\left(b x +a \right) b^{11}}+\frac{210 a^{4} \ln \left(b x +a \right)}{b^{11}}-\frac{84 a^{3} x}{b^{10}}"," ",0,"-84*a^3*x/b^10+14*a^2*x^2/b^9-7/3*a*x^3/b^8+1/4*x^4/b^7-1/6*a^10/b^11/(b*x+a)^6+2*a^9/b^11/(b*x+a)^5-45/4*a^8/b^11/(b*x+a)^4+40*a^7/b^11/(b*x+a)^3-105*a^6/b^11/(b*x+a)^2+252*a^5/b^11/(b*x+a)+210*a^4*ln(b*x+a)/b^11","A"
208,1,132,131,0.010000," ","int(x^9/(b*x+a)^7,x)","\frac{a^{9}}{6 \left(b x +a \right)^{6} b^{10}}-\frac{9 a^{8}}{5 \left(b x +a \right)^{5} b^{10}}+\frac{9 a^{7}}{\left(b x +a \right)^{4} b^{10}}-\frac{28 a^{6}}{\left(b x +a \right)^{3} b^{10}}+\frac{x^{3}}{3 b^{7}}+\frac{63 a^{5}}{\left(b x +a \right)^{2} b^{10}}-\frac{7 a \,x^{2}}{2 b^{8}}-\frac{126 a^{4}}{\left(b x +a \right) b^{10}}-\frac{84 a^{3} \ln \left(b x +a \right)}{b^{10}}+\frac{28 a^{2} x}{b^{9}}"," ",0,"28*a^2*x/b^9-7/2*a*x^2/b^8+1/3*x^3/b^7+1/6*a^9/b^10/(b*x+a)^6-9/5*a^8/b^10/(b*x+a)^5+9*a^7/b^10/(b*x+a)^4-28*a^6/b^10/(b*x+a)^3+63*a^5/b^10/(b*x+a)^2-126*a^4/b^10/(b*x+a)-84*a^3*ln(b*x+a)/b^10","A"
209,1,121,120,0.009000," ","int(x^8/(b*x+a)^7,x)","-\frac{a^{8}}{6 \left(b x +a \right)^{6} b^{9}}+\frac{8 a^{7}}{5 \left(b x +a \right)^{5} b^{9}}-\frac{7 a^{6}}{\left(b x +a \right)^{4} b^{9}}+\frac{56 a^{5}}{3 \left(b x +a \right)^{3} b^{9}}-\frac{35 a^{4}}{\left(b x +a \right)^{2} b^{9}}+\frac{x^{2}}{2 b^{7}}+\frac{56 a^{3}}{\left(b x +a \right) b^{9}}+\frac{28 a^{2} \ln \left(b x +a \right)}{b^{9}}-\frac{7 a x}{b^{8}}"," ",0,"-7*a*x/b^8+1/2*x^2/b^7-1/6*a^8/b^9/(b*x+a)^6+8/5*a^7/b^9/(b*x+a)^5-7*a^6/b^9/(b*x+a)^4+56/3*a^5/b^9/(b*x+a)^3-35*a^4/b^9/(b*x+a)^2+56*a^3/b^9/(b*x+a)+28*a^2*ln(b*x+a)/b^9","A"
210,1,109,108,0.009000," ","int(x^7/(b*x+a)^7,x)","\frac{a^{7}}{6 \left(b x +a \right)^{6} b^{8}}-\frac{7 a^{6}}{5 \left(b x +a \right)^{5} b^{8}}+\frac{21 a^{5}}{4 \left(b x +a \right)^{4} b^{8}}-\frac{35 a^{4}}{3 \left(b x +a \right)^{3} b^{8}}+\frac{35 a^{3}}{2 \left(b x +a \right)^{2} b^{8}}-\frac{21 a^{2}}{\left(b x +a \right) b^{8}}-\frac{7 a \ln \left(b x +a \right)}{b^{8}}+\frac{x}{b^{7}}"," ",0,"x/b^7+1/6*a^7/b^8/(b*x+a)^6-7/5*a^6/b^8/(b*x+a)^5+21/4*a^5/b^8/(b*x+a)^4-35/3*a^4/b^8/(b*x+a)^3+35/2*a^3/b^8/(b*x+a)^2-21*a^2/b^8/(b*x+a)-7*a*ln(b*x+a)/b^8","A"
211,1,100,99,0.007000," ","int(x^6/(b*x+a)^7,x)","-\frac{a^{6}}{6 \left(b x +a \right)^{6} b^{7}}+\frac{6 a^{5}}{5 \left(b x +a \right)^{5} b^{7}}-\frac{15 a^{4}}{4 \left(b x +a \right)^{4} b^{7}}+\frac{20 a^{3}}{3 \left(b x +a \right)^{3} b^{7}}-\frac{15 a^{2}}{2 \left(b x +a \right)^{2} b^{7}}+\frac{6 a}{\left(b x +a \right) b^{7}}+\frac{\ln \left(b x +a \right)}{b^{7}}"," ",0,"-1/6*a^6/b^7/(b*x+a)^6+6/5*a^5/b^7/(b*x+a)^5-15/4*a^4/b^7/(b*x+a)^4+20/3*a^3/b^7/(b*x+a)^3-15/2*a^2/b^7/(b*x+a)^2+6*a/b^7/(b*x+a)+ln(b*x+a)/b^7","A"
212,1,87,15,0.005000," ","int(x^5/(b*x+a)^7,x)","\frac{a^{5}}{6 \left(b x +a \right)^{6} b^{6}}-\frac{a^{4}}{\left(b x +a \right)^{5} b^{6}}+\frac{5 a^{3}}{2 \left(b x +a \right)^{4} b^{6}}-\frac{10 a^{2}}{3 \left(b x +a \right)^{3} b^{6}}+\frac{5 a}{2 \left(b x +a \right)^{2} b^{6}}-\frac{1}{\left(b x +a \right) b^{6}}"," ",0,"1/6*a^5/b^6/(b*x+a)^6+5/2*a/b^6/(b*x+a)^2-a^4/b^6/(b*x+a)^5+5/2*a^3/b^6/(b*x+a)^4-10/3*a^2/b^6/(b*x+a)^3-1/b^6/(b*x+a)","B"
213,1,72,31,0.006000," ","int(x^4/(b*x+a)^7,x)","-\frac{a^{4}}{6 \left(b x +a \right)^{6} b^{5}}+\frac{4 a^{3}}{5 \left(b x +a \right)^{5} b^{5}}-\frac{3 a^{2}}{2 \left(b x +a \right)^{4} b^{5}}+\frac{4 a}{3 \left(b x +a \right)^{3} b^{5}}-\frac{1}{2 \left(b x +a \right)^{2} b^{5}}"," ",0,"-1/6*a^4/b^5/(b*x+a)^6-1/2/b^5/(b*x+a)^2-3/2*a^2/b^5/(b*x+a)^4+4/5*a^3/b^5/(b*x+a)^5+4/3*a/b^5/(b*x+a)^3","B"
214,1,57,46,0.005000," ","int(x^3/(b*x+a)^7,x)","\frac{a^{3}}{6 \left(b x +a \right)^{6} b^{4}}-\frac{3 a^{2}}{5 \left(b x +a \right)^{5} b^{4}}+\frac{3 a}{4 \left(b x +a \right)^{4} b^{4}}-\frac{1}{3 \left(b x +a \right)^{3} b^{4}}"," ",0,"1/6*a^3/b^4/(b*x+a)^6-3/5*a^2/b^4/(b*x+a)^5+3/4*a/b^4/(b*x+a)^4-1/3/b^4/(b*x+a)^3","A"
215,1,42,41,0.004000," ","int(x^2/(b*x+a)^7,x)","-\frac{a^{2}}{6 \left(b x +a \right)^{6} b^{3}}+\frac{2 a}{5 \left(b x +a \right)^{5} b^{3}}-\frac{1}{4 \left(b x +a \right)^{4} b^{3}}"," ",0,"-1/6*a^2/b^3/(b*x+a)^6+2/5*a/b^3/(b*x+a)^5-1/4/b^3/(b*x+a)^4","A"
216,1,27,26,0.007000," ","int(x/(b*x+a)^7,x)","\frac{a}{6 \left(b x +a \right)^{6} b^{2}}-\frac{1}{5 \left(b x +a \right)^{5} b^{2}}"," ",0,"1/6*a/b^2/(b*x+a)^6-1/5/b^2/(b*x+a)^5","A"
217,1,13,12,0.001000," ","int(1/(b*x+a)^7,x)","-\frac{1}{6 \left(b x +a \right)^{6} b}"," ",0,"-1/6/b/(b*x+a)^6","A"
218,1,90,89,0.010000," ","int(1/x/(b*x+a)^7,x)","\frac{1}{6 \left(b x +a \right)^{6} a}+\frac{1}{5 \left(b x +a \right)^{5} a^{2}}+\frac{1}{4 \left(b x +a \right)^{4} a^{3}}+\frac{1}{3 \left(b x +a \right)^{3} a^{4}}+\frac{1}{2 \left(b x +a \right)^{2} a^{5}}+\frac{1}{\left(b x +a \right) a^{6}}+\frac{\ln \left(x \right)}{a^{7}}-\frac{\ln \left(b x +a \right)}{a^{7}}"," ",0,"1/6/a/(b*x+a)^6+1/5/a^2/(b*x+a)^5+1/4/a^3/(b*x+a)^4+1/3/a^4/(b*x+a)^3+1/2/a^5/(b*x+a)^2+1/a^6/(b*x+a)+ln(x)/a^7-ln(b*x+a)/a^7","A"
219,1,108,107,0.010000," ","int(1/x^2/(b*x+a)^7,x)","-\frac{b}{6 \left(b x +a \right)^{6} a^{2}}-\frac{2 b}{5 \left(b x +a \right)^{5} a^{3}}-\frac{3 b}{4 \left(b x +a \right)^{4} a^{4}}-\frac{4 b}{3 \left(b x +a \right)^{3} a^{5}}-\frac{5 b}{2 \left(b x +a \right)^{2} a^{6}}-\frac{6 b}{\left(b x +a \right) a^{7}}-\frac{7 b \ln \left(x \right)}{a^{8}}+\frac{7 b \ln \left(b x +a \right)}{a^{8}}-\frac{1}{a^{7} x}"," ",0,"-1/a^7/x-1/6*b/a^2/(b*x+a)^6-2/5*b/a^3/(b*x+a)^5-3/4*b/a^4/(b*x+a)^4-4/3*b/a^5/(b*x+a)^3-5/2*b/a^6/(b*x+a)^2-6*b/a^7/(b*x+a)-7*b*ln(x)/a^8+7*b*ln(b*x+a)/a^8","A"
220,1,133,132,0.012000," ","int(1/x^3/(b*x+a)^7,x)","\frac{b^{2}}{6 \left(b x +a \right)^{6} a^{3}}+\frac{3 b^{2}}{5 \left(b x +a \right)^{5} a^{4}}+\frac{3 b^{2}}{2 \left(b x +a \right)^{4} a^{5}}+\frac{10 b^{2}}{3 \left(b x +a \right)^{3} a^{6}}+\frac{15 b^{2}}{2 \left(b x +a \right)^{2} a^{7}}+\frac{21 b^{2}}{\left(b x +a \right) a^{8}}+\frac{28 b^{2} \ln \left(x \right)}{a^{9}}-\frac{28 b^{2} \ln \left(b x +a \right)}{a^{9}}+\frac{7 b}{a^{8} x}-\frac{1}{2 a^{7} x^{2}}"," ",0,"-1/2/a^7/x^2+7*b/a^8/x+1/6*b^2/a^3/(b*x+a)^6+3/5*b^2/a^4/(b*x+a)^5+3/2*b^2/a^5/(b*x+a)^4+10/3*b^2/a^6/(b*x+a)^3+15/2*b^2/a^7/(b*x+a)^2+21*b^2/a^8/(b*x+a)+28*b^2*ln(x)/a^9-28*b^2*ln(b*x+a)/a^9","A"
221,1,144,143,0.013000," ","int(1/x^4/(b*x+a)^7,x)","-\frac{b^{3}}{6 \left(b x +a \right)^{6} a^{4}}-\frac{4 b^{3}}{5 \left(b x +a \right)^{5} a^{5}}-\frac{5 b^{3}}{2 \left(b x +a \right)^{4} a^{6}}-\frac{20 b^{3}}{3 \left(b x +a \right)^{3} a^{7}}-\frac{35 b^{3}}{2 \left(b x +a \right)^{2} a^{8}}-\frac{56 b^{3}}{\left(b x +a \right) a^{9}}-\frac{84 b^{3} \ln \left(x \right)}{a^{10}}+\frac{84 b^{3} \ln \left(b x +a \right)}{a^{10}}-\frac{28 b^{2}}{a^{9} x}+\frac{7 b}{2 a^{8} x^{2}}-\frac{1}{3 a^{7} x^{3}}"," ",0,"-1/3/a^7/x^3+7/2*b/a^8/x^2-28*b^2/a^9/x-1/6*b^3/a^4/(b*x+a)^6-4/5*b^3/a^5/(b*x+a)^5-5/2*b^3/a^6/(b*x+a)^4-20/3*b^3/a^7/(b*x+a)^3-35/2*b^3/a^8/(b*x+a)^2-56*b^3/a^9/(b*x+a)-84*b^3*ln(x)/a^10+84*b^3*ln(b*x+a)/a^10","A"
222,1,177,176,0.012000," ","int(x^12/(b*x+a)^10,x)","-\frac{a^{12}}{9 \left(b x +a \right)^{9} b^{13}}+\frac{3 a^{11}}{2 \left(b x +a \right)^{8} b^{13}}-\frac{66 a^{10}}{7 \left(b x +a \right)^{7} b^{13}}+\frac{110 a^{9}}{3 \left(b x +a \right)^{6} b^{13}}-\frac{99 a^{8}}{\left(b x +a \right)^{5} b^{13}}+\frac{198 a^{7}}{\left(b x +a \right)^{4} b^{13}}-\frac{308 a^{6}}{\left(b x +a \right)^{3} b^{13}}+\frac{x^{3}}{3 b^{10}}+\frac{396 a^{5}}{\left(b x +a \right)^{2} b^{13}}-\frac{5 a \,x^{2}}{b^{11}}-\frac{495 a^{4}}{\left(b x +a \right) b^{13}}-\frac{220 a^{3} \ln \left(b x +a \right)}{b^{13}}+\frac{55 a^{2} x}{b^{12}}"," ",0,"55*a^2*x/b^12-5*a*x^2/b^11+1/3*x^3/b^10-1/9*a^12/b^13/(b*x+a)^9+3/2*a^11/b^13/(b*x+a)^8-66/7*a^10/b^13/(b*x+a)^7+110/3*a^9/b^13/(b*x+a)^6-99*a^8/b^13/(b*x+a)^5+198*a^7/b^13/(b*x+a)^4-308*a^6/b^13/(b*x+a)^3+396*a^5/b^13/(b*x+a)^2-495*a^4/b^13/(b*x+a)-220*a^3*ln(b*x+a)/b^13","A"
223,1,166,165,0.010000," ","int(x^11/(b*x+a)^10,x)","\frac{a^{11}}{9 \left(b x +a \right)^{9} b^{12}}-\frac{11 a^{10}}{8 \left(b x +a \right)^{8} b^{12}}+\frac{55 a^{9}}{7 \left(b x +a \right)^{7} b^{12}}-\frac{55 a^{8}}{2 \left(b x +a \right)^{6} b^{12}}+\frac{66 a^{7}}{\left(b x +a \right)^{5} b^{12}}-\frac{231 a^{6}}{2 \left(b x +a \right)^{4} b^{12}}+\frac{154 a^{5}}{\left(b x +a \right)^{3} b^{12}}-\frac{165 a^{4}}{\left(b x +a \right)^{2} b^{12}}+\frac{x^{2}}{2 b^{10}}+\frac{165 a^{3}}{\left(b x +a \right) b^{12}}+\frac{55 a^{2} \ln \left(b x +a \right)}{b^{12}}-\frac{10 a x}{b^{11}}"," ",0,"-10*a*x/b^11+1/2*x^2/b^10+1/9*a^11/b^12/(b*x+a)^9-11/8*a^10/b^12/(b*x+a)^8+55/7*a^9/b^12/(b*x+a)^7-55/2*a^8/b^12/(b*x+a)^6+66*a^7/b^12/(b*x+a)^5-231/2*a^6/b^12/(b*x+a)^4+154*a^5/b^12/(b*x+a)^3-165*a^4/b^12/(b*x+a)^2+165*a^3/b^12/(b*x+a)+55*a^2*ln(b*x+a)/b^12","A"
224,1,154,153,0.011000," ","int(x^10/(b*x+a)^10,x)","-\frac{a^{10}}{9 \left(b x +a \right)^{9} b^{11}}+\frac{5 a^{9}}{4 \left(b x +a \right)^{8} b^{11}}-\frac{45 a^{8}}{7 \left(b x +a \right)^{7} b^{11}}+\frac{20 a^{7}}{\left(b x +a \right)^{6} b^{11}}-\frac{42 a^{6}}{\left(b x +a \right)^{5} b^{11}}+\frac{63 a^{5}}{\left(b x +a \right)^{4} b^{11}}-\frac{70 a^{4}}{\left(b x +a \right)^{3} b^{11}}+\frac{60 a^{3}}{\left(b x +a \right)^{2} b^{11}}-\frac{45 a^{2}}{\left(b x +a \right) b^{11}}-\frac{10 a \ln \left(b x +a \right)}{b^{11}}+\frac{x}{b^{10}}"," ",0,"x/b^10-1/9*a^10/b^11/(b*x+a)^9+5/4*a^9/b^11/(b*x+a)^8-45/7*a^8/b^11/(b*x+a)^7+20*a^7/b^11/(b*x+a)^6-42*a^6/b^11/(b*x+a)^5+63*a^5/b^11/(b*x+a)^4-70*a^4/b^11/(b*x+a)^3+60*a^3/b^11/(b*x+a)^2-45*a^2/b^11/(b*x+a)-10*a*ln(b*x+a)/b^11","A"
225,1,145,144,0.007000," ","int(x^9/(b*x+a)^10,x)","\frac{a^{9}}{9 \left(b x +a \right)^{9} b^{10}}-\frac{9 a^{8}}{8 \left(b x +a \right)^{8} b^{10}}+\frac{36 a^{7}}{7 \left(b x +a \right)^{7} b^{10}}-\frac{14 a^{6}}{\left(b x +a \right)^{6} b^{10}}+\frac{126 a^{5}}{5 \left(b x +a \right)^{5} b^{10}}-\frac{63 a^{4}}{2 \left(b x +a \right)^{4} b^{10}}+\frac{28 a^{3}}{\left(b x +a \right)^{3} b^{10}}-\frac{18 a^{2}}{\left(b x +a \right)^{2} b^{10}}+\frac{9 a}{\left(b x +a \right) b^{10}}+\frac{\ln \left(b x +a \right)}{b^{10}}"," ",0,"1/9*a^9/b^10/(b*x+a)^9-9/8*a^8/b^10/(b*x+a)^8+36/7*a^7/b^10/(b*x+a)^7-14*a^6/b^10/(b*x+a)^6+126/5*a^5/b^10/(b*x+a)^5-63/2*a^4/b^10/(b*x+a)^4+28*a^3/b^10/(b*x+a)^3-18*a^2/b^10/(b*x+a)^2+9*a/b^10/(b*x+a)+ln(b*x+a)/b^10","A"
226,1,131,15,0.006000," ","int(x^8/(b*x+a)^10,x)","-\frac{a^{8}}{9 \left(b x +a \right)^{9} b^{9}}+\frac{a^{7}}{\left(b x +a \right)^{8} b^{9}}-\frac{4 a^{6}}{\left(b x +a \right)^{7} b^{9}}+\frac{28 a^{5}}{3 \left(b x +a \right)^{6} b^{9}}-\frac{14 a^{4}}{\left(b x +a \right)^{5} b^{9}}+\frac{14 a^{3}}{\left(b x +a \right)^{4} b^{9}}-\frac{28 a^{2}}{3 \left(b x +a \right)^{3} b^{9}}+\frac{4 a}{\left(b x +a \right)^{2} b^{9}}-\frac{1}{\left(b x +a \right) b^{9}}"," ",0,"28/3*a^5/b^9/(b*x+a)^6+4*a/b^9/(b*x+a)^2-14*a^4/b^9/(b*x+a)^5+a^7/b^9/(b*x+a)^8-28/3*a^2/b^9/(b*x+a)^3+14*a^3/b^9/(b*x+a)^4-1/9*a^8/b^9/(b*x+a)^9-4*a^6/b^9/(b*x+a)^7-1/b^9/(b*x+a)","B"
227,1,117,31,0.006000," ","int(x^7/(b*x+a)^10,x)","\frac{a^{7}}{9 \left(b x +a \right)^{9} b^{8}}-\frac{7 a^{6}}{8 \left(b x +a \right)^{8} b^{8}}+\frac{3 a^{5}}{\left(b x +a \right)^{7} b^{8}}-\frac{35 a^{4}}{6 \left(b x +a \right)^{6} b^{8}}+\frac{7 a^{3}}{\left(b x +a \right)^{5} b^{8}}-\frac{21 a^{2}}{4 \left(b x +a \right)^{4} b^{8}}+\frac{7 a}{3 \left(b x +a \right)^{3} b^{8}}-\frac{1}{2 \left(b x +a \right)^{2} b^{8}}"," ",0,"-35/6*a^4/b^8/(b*x+a)^6-1/2/b^8/(b*x+a)^2+3*a^5/b^8/(b*x+a)^7+7*a^3/b^8/(b*x+a)^5-21/4*a^2/b^8/(b*x+a)^4-7/8*a^6/b^8/(b*x+a)^8+7/3*a/b^8/(b*x+a)^3+1/9*a^7/b^8/(b*x+a)^9","B"
228,1,102,46,0.007000," ","int(x^6/(b*x+a)^10,x)","-\frac{a^{6}}{9 \left(b x +a \right)^{9} b^{7}}+\frac{3 a^{5}}{4 \left(b x +a \right)^{8} b^{7}}-\frac{15 a^{4}}{7 \left(b x +a \right)^{7} b^{7}}+\frac{10 a^{3}}{3 \left(b x +a \right)^{6} b^{7}}-\frac{3 a^{2}}{\left(b x +a \right)^{5} b^{7}}+\frac{3 a}{2 \left(b x +a \right)^{4} b^{7}}-\frac{1}{3 \left(b x +a \right)^{3} b^{7}}"," ",0,"10/3*a^3/b^7/(b*x+a)^6-3*a^2/b^7/(b*x+a)^5+3/4*a^5/b^7/(b*x+a)^8+3/2*a/b^7/(b*x+a)^4-1/3/b^7/(b*x+a)^3-1/9*a^6/b^7/(b*x+a)^9-15/7*a^4/b^7/(b*x+a)^7","B"
229,1,86,61,0.004000," ","int(x^5/(b*x+a)^10,x)","\frac{a^{5}}{9 \left(b x +a \right)^{9} b^{6}}-\frac{5 a^{4}}{8 \left(b x +a \right)^{8} b^{6}}+\frac{10 a^{3}}{7 \left(b x +a \right)^{7} b^{6}}-\frac{5 a^{2}}{3 \left(b x +a \right)^{6} b^{6}}+\frac{a}{\left(b x +a \right)^{5} b^{6}}-\frac{1}{4 \left(b x +a \right)^{4} b^{6}}"," ",0,"-5/3*a^2/b^6/(b*x+a)^6-1/4/b^6/(b*x+a)^4+a/b^6/(b*x+a)^5-5/8*a^4/b^6/(b*x+a)^8+10/7*a^3/b^6/(b*x+a)^7+1/9*a^5/b^6/(b*x+a)^9","A"
230,1,72,71,0.006000," ","int(x^4/(b*x+a)^10,x)","-\frac{a^{4}}{9 \left(b x +a \right)^{9} b^{5}}+\frac{a^{3}}{2 \left(b x +a \right)^{8} b^{5}}-\frac{6 a^{2}}{7 \left(b x +a \right)^{7} b^{5}}+\frac{2 a}{3 \left(b x +a \right)^{6} b^{5}}-\frac{1}{5 \left(b x +a \right)^{5} b^{5}}"," ",0,"-1/9*a^4/b^5/(b*x+a)^9+1/2*a^3/b^5/(b*x+a)^8-6/7*a^2/b^5/(b*x+a)^7+2/3*a/b^5/(b*x+a)^6-1/5/b^5/(b*x+a)^5","A"
231,1,57,56,0.005000," ","int(x^3/(b*x+a)^10,x)","\frac{a^{3}}{9 \left(b x +a \right)^{9} b^{4}}-\frac{3 a^{2}}{8 \left(b x +a \right)^{8} b^{4}}+\frac{3 a}{7 \left(b x +a \right)^{7} b^{4}}-\frac{1}{6 \left(b x +a \right)^{6} b^{4}}"," ",0,"1/9*a^3/b^4/(b*x+a)^9-3/8*a^2/b^4/(b*x+a)^8+3/7*a/b^4/(b*x+a)^7-1/6/b^4/(b*x+a)^6","A"
232,1,42,41,0.005000," ","int(x^2/(b*x+a)^10,x)","-\frac{a^{2}}{9 \left(b x +a \right)^{9} b^{3}}+\frac{a}{4 \left(b x +a \right)^{8} b^{3}}-\frac{1}{7 \left(b x +a \right)^{7} b^{3}}"," ",0,"-1/9*a^2/b^3/(b*x+a)^9+1/4*a/b^3/(b*x+a)^8-1/7/b^3/(b*x+a)^7","A"
233,1,27,26,0.004000," ","int(x/(b*x+a)^10,x)","\frac{a}{9 \left(b x +a \right)^{9} b^{2}}-\frac{1}{8 \left(b x +a \right)^{8} b^{2}}"," ",0,"1/9*a/b^2/(b*x+a)^9-1/8/b^2/(b*x+a)^8","A"
234,1,13,12,0.001000," ","int(1/(b*x+a)^10,x)","-\frac{1}{9 \left(b x +a \right)^{9} b}"," ",0,"-1/9/b/(b*x+a)^9","A"
235,1,126,125,0.012000," ","int(1/x/(b*x+a)^10,x)","\frac{1}{9 \left(b x +a \right)^{9} a}+\frac{1}{8 \left(b x +a \right)^{8} a^{2}}+\frac{1}{7 \left(b x +a \right)^{7} a^{3}}+\frac{1}{6 \left(b x +a \right)^{6} a^{4}}+\frac{1}{5 \left(b x +a \right)^{5} a^{5}}+\frac{1}{4 \left(b x +a \right)^{4} a^{6}}+\frac{1}{3 \left(b x +a \right)^{3} a^{7}}+\frac{1}{2 \left(b x +a \right)^{2} a^{8}}+\frac{1}{\left(b x +a \right) a^{9}}+\frac{\ln \left(x \right)}{a^{10}}-\frac{\ln \left(b x +a \right)}{a^{10}}"," ",0,"1/9/a/(b*x+a)^9+1/8/a^2/(b*x+a)^8+1/7/a^3/(b*x+a)^7+1/6/a^4/(b*x+a)^6+1/5/a^5/(b*x+a)^5+1/4/a^6/(b*x+a)^4+1/3/a^7/(b*x+a)^3+1/2/a^8/(b*x+a)^2+1/a^9/(b*x+a)+ln(x)/a^10-ln(b*x+a)/a^10","A"
236,1,147,146,0.014000," ","int(1/x^2/(b*x+a)^10,x)","-\frac{b}{9 \left(b x +a \right)^{9} a^{2}}-\frac{b}{4 \left(b x +a \right)^{8} a^{3}}-\frac{3 b}{7 \left(b x +a \right)^{7} a^{4}}-\frac{2 b}{3 \left(b x +a \right)^{6} a^{5}}-\frac{b}{\left(b x +a \right)^{5} a^{6}}-\frac{3 b}{2 \left(b x +a \right)^{4} a^{7}}-\frac{7 b}{3 \left(b x +a \right)^{3} a^{8}}-\frac{4 b}{\left(b x +a \right)^{2} a^{9}}-\frac{9 b}{\left(b x +a \right) a^{10}}-\frac{10 b \ln \left(x \right)}{a^{11}}+\frac{10 b \ln \left(b x +a \right)}{a^{11}}-\frac{1}{a^{10} x}"," ",0,"-1/a^10/x-1/9*b/a^2/(b*x+a)^9-1/4*b/a^3/(b*x+a)^8-3/7*b/a^4/(b*x+a)^7-2/3*b/a^5/(b*x+a)^6-b/a^6/(b*x+a)^5-3/2*b/a^7/(b*x+a)^4-7/3*b/a^8/(b*x+a)^3-4*b/a^9/(b*x+a)^2-9*b/a^10/(b*x+a)-10*b*ln(x)/a^11+10*b*ln(b*x+a)/a^11","A"
237,1,178,177,0.015000," ","int(1/x^3/(b*x+a)^10,x)","\frac{b^{2}}{9 \left(b x +a \right)^{9} a^{3}}+\frac{3 b^{2}}{8 \left(b x +a \right)^{8} a^{4}}+\frac{6 b^{2}}{7 \left(b x +a \right)^{7} a^{5}}+\frac{5 b^{2}}{3 \left(b x +a \right)^{6} a^{6}}+\frac{3 b^{2}}{\left(b x +a \right)^{5} a^{7}}+\frac{21 b^{2}}{4 \left(b x +a \right)^{4} a^{8}}+\frac{28 b^{2}}{3 \left(b x +a \right)^{3} a^{9}}+\frac{18 b^{2}}{\left(b x +a \right)^{2} a^{10}}+\frac{45 b^{2}}{\left(b x +a \right) a^{11}}+\frac{55 b^{2} \ln \left(x \right)}{a^{12}}-\frac{55 b^{2} \ln \left(b x +a \right)}{a^{12}}+\frac{10 b}{a^{11} x}-\frac{1}{2 a^{10} x^{2}}"," ",0,"-1/2/a^10/x^2+10*b/a^11/x+1/9*b^2/a^3/(b*x+a)^9+3/8*b^2/a^4/(b*x+a)^8+6/7*b^2/a^5/(b*x+a)^7+5/3*b^2/a^6/(b*x+a)^6+3*b^2/a^7/(b*x+a)^5+21/4*b^2/a^8/(b*x+a)^4+28/3*b^2/a^9/(b*x+a)^3+18*b^2/a^10/(b*x+a)^2+45*b^2/a^11/(b*x+a)+55*b^2*ln(x)/a^12-55*b^2*ln(b*x+a)/a^12","A"
238,1,189,188,0.013000," ","int(1/x^4/(b*x+a)^10,x)","-\frac{b^{3}}{9 \left(b x +a \right)^{9} a^{4}}-\frac{b^{3}}{2 \left(b x +a \right)^{8} a^{5}}-\frac{10 b^{3}}{7 \left(b x +a \right)^{7} a^{6}}-\frac{10 b^{3}}{3 \left(b x +a \right)^{6} a^{7}}-\frac{7 b^{3}}{\left(b x +a \right)^{5} a^{8}}-\frac{14 b^{3}}{\left(b x +a \right)^{4} a^{9}}-\frac{28 b^{3}}{\left(b x +a \right)^{3} a^{10}}-\frac{60 b^{3}}{\left(b x +a \right)^{2} a^{11}}-\frac{165 b^{3}}{\left(b x +a \right) a^{12}}-\frac{220 b^{3} \ln \left(x \right)}{a^{13}}+\frac{220 b^{3} \ln \left(b x +a \right)}{a^{13}}-\frac{55 b^{2}}{a^{12} x}+\frac{5 b}{a^{11} x^{2}}-\frac{1}{3 a^{10} x^{3}}"," ",0,"-1/3/a^10/x^3+5*b/a^11/x^2-55*b^2/a^12/x-1/9*b^3/a^4/(b*x+a)^9-1/2*b^3/a^5/(b*x+a)^8-10/7*b^3/a^6/(b*x+a)^7-10/3*b^3/a^7/(b*x+a)^6-7*b^3/a^8/(b*x+a)^5-14*b^3/a^9/(b*x+a)^4-28*b^3/a^10/(b*x+a)^3-60*b^3/a^11/(b*x+a)^2-165*b^3/a^12/(b*x+a)-220*b^3*ln(x)/a^13+220*b^3*ln(b*x+a)/a^13","A"
239,1,132,131,0.010000," ","int((b*x+a)^12/x^10,x)","\frac{b^{12} x^{3}}{3}+6 a \,b^{11} x^{2}+220 a^{3} b^{9} \ln \left(x \right)+66 a^{2} b^{10} x -\frac{495 a^{4} b^{8}}{x}-\frac{396 a^{5} b^{7}}{x^{2}}-\frac{308 a^{6} b^{6}}{x^{3}}-\frac{198 a^{7} b^{5}}{x^{4}}-\frac{99 a^{8} b^{4}}{x^{5}}-\frac{110 a^{9} b^{3}}{3 x^{6}}-\frac{66 a^{10} b^{2}}{7 x^{7}}-\frac{3 a^{11} b}{2 x^{8}}-\frac{a^{12}}{9 x^{9}}"," ",0,"-1/9*a^12/x^9-3/2*a^11*b/x^8-66/7*a^10*b^2/x^7-110/3*a^9*b^3/x^6-99*a^8*b^4/x^5-198*a^7*b^5/x^4-308*a^6*b^6/x^3-396*a^5*b^7/x^2-495*a^4*b^8/x+66*a^2*b^10*x+6*a*b^11*x^2+1/3*b^12*x^3+220*a^3*b^9*ln(x)","A"
240,1,121,120,0.010000," ","int((b*x+a)^11/x^10,x)","\frac{b^{11} x^{2}}{2}+55 a^{2} b^{9} \ln \left(x \right)+11 a \,b^{10} x -\frac{165 a^{3} b^{8}}{x}-\frac{165 a^{4} b^{7}}{x^{2}}-\frac{154 a^{5} b^{6}}{x^{3}}-\frac{231 a^{6} b^{5}}{2 x^{4}}-\frac{66 a^{7} b^{4}}{x^{5}}-\frac{55 a^{8} b^{3}}{2 x^{6}}-\frac{55 a^{9} b^{2}}{7 x^{7}}-\frac{11 a^{10} b}{8 x^{8}}-\frac{a^{11}}{9 x^{9}}"," ",0,"-1/9*a^11/x^9-11/8*a^10*b/x^8-55/7*a^9*b^2/x^7-55/2*a^8*b^3/x^6-66*a^7*b^4/x^5-231/2*a^6*b^5/x^4-154*a^5*b^6/x^3-165*a^4*b^7/x^2-165*a^3*b^8/x+11*a*b^10*x+1/2*b^11*x^2+55*a^2*b^9*ln(x)","A"
241,1,109,108,0.000000," ","int((b*x+a)^10/x^10,x)","10 a \,b^{9} \ln \left(x \right)+b^{10} x -\frac{45 a^{2} b^{8}}{x}-\frac{60 a^{3} b^{7}}{x^{2}}-\frac{70 a^{4} b^{6}}{x^{3}}-\frac{63 a^{5} b^{5}}{x^{4}}-\frac{42 a^{6} b^{4}}{x^{5}}-\frac{20 a^{7} b^{3}}{x^{6}}-\frac{45 a^{8} b^{2}}{7 x^{7}}-\frac{5 a^{9} b}{4 x^{8}}-\frac{a^{10}}{9 x^{9}}"," ",0,"10*a*b^9*ln(x)+b^10*x-45*a^2*b^8/x-60*a^3*b^7/x^2-70*a^4*b^6/x^3-63*a^5*b^5/x^4-42*a^6*b^4/x^5-20*a^7*b^3/x^6-45/7*a^8*b^2/x^7-5/4*a^9*b/x^8-1/9*a^10/x^9","A"
242,1,100,99,0.008000," ","int((b*x+a)^9/x^10,x)","b^{9} \ln \left(x \right)-\frac{9 a \,b^{8}}{x}-\frac{18 a^{2} b^{7}}{x^{2}}-\frac{28 a^{3} b^{6}}{x^{3}}-\frac{63 a^{4} b^{5}}{2 x^{4}}-\frac{126 a^{5} b^{4}}{5 x^{5}}-\frac{14 a^{6} b^{3}}{x^{6}}-\frac{36 a^{7} b^{2}}{7 x^{7}}-\frac{9 a^{8} b}{8 x^{8}}-\frac{a^{9}}{9 x^{9}}"," ",0,"-1/9*a^9/x^9-9/8*a^8*b/x^8-36/7*a^7*b^2/x^7-14*a^6*b^3/x^6-126/5*a^5*b^4/x^5-63/2*a^4*b^5/x^4-28*a^3*b^6/x^3-18*a^2*b^7/x^2-9*a*b^8/x+b^9*ln(x)","A"
243,1,91,15,0.008000," ","int((b*x+a)^8/x^10,x)","-\frac{b^{8}}{x}-\frac{4 a \,b^{7}}{x^{2}}-\frac{28 a^{2} b^{6}}{3 x^{3}}-\frac{14 a^{3} b^{5}}{x^{4}}-\frac{14 a^{4} b^{4}}{x^{5}}-\frac{28 a^{5} b^{3}}{3 x^{6}}-\frac{4 a^{6} b^{2}}{x^{7}}-\frac{a^{7} b}{x^{8}}-\frac{a^{8}}{9 x^{9}}"," ",0,"-28/3*a^2*b^6/x^3-b^8/x-4*a*b^7/x^2-14*a^4*b^4/x^5-1/9*a^8/x^9-a^7*b/x^8-28/3*a^5*b^3/x^6-14*a^3*b^5/x^4-4*a^6*b^2/x^7","B"
244,1,80,32,0.000000," ","int((b*x+a)^7/x^10,x)","-\frac{b^{7}}{2 x^{2}}-\frac{7 a \,b^{6}}{3 x^{3}}-\frac{21 a^{2} b^{5}}{4 x^{4}}-\frac{7 a^{3} b^{4}}{x^{5}}-\frac{35 a^{4} b^{3}}{6 x^{6}}-\frac{3 a^{5} b^{2}}{x^{7}}-\frac{7 a^{6} b}{8 x^{8}}-\frac{a^{7}}{9 x^{9}}"," ",0,"-1/2*b^7/x^2-7/3*a*b^6/x^3-21/4*a^2*b^5/x^4-7*a^3*b^4/x^5-35/6*a^4*b^3/x^6-3*a^5*b^2/x^7-7/8*a^6*b/x^8-1/9*a^7/x^9","B"
245,1,69,50,0.007000," ","int((b*x+a)^6/x^10,x)","-\frac{b^{6}}{3 x^{3}}-\frac{3 a \,b^{5}}{2 x^{4}}-\frac{3 a^{2} b^{4}}{x^{5}}-\frac{10 a^{3} b^{3}}{3 x^{6}}-\frac{15 a^{4} b^{2}}{7 x^{7}}-\frac{3 a^{5} b}{4 x^{8}}-\frac{a^{6}}{9 x^{9}}"," ",0,"-1/3*b^6/x^3-3*a^2*b^4/x^5-15/7*a^4*b^2/x^7-1/9*a^6/x^9-3/4*a^5*b/x^8-10/3*a^3*b^3/x^6-3/2*a*b^5/x^4","A"
246,1,58,57,0.000000," ","int((b*x+a)^5/x^10,x)","-\frac{b^{5}}{4 x^{4}}-\frac{a \,b^{4}}{x^{5}}-\frac{5 a^{2} b^{3}}{3 x^{6}}-\frac{10 a^{3} b^{2}}{7 x^{7}}-\frac{5 a^{4} b}{8 x^{8}}-\frac{a^{5}}{9 x^{9}}"," ",0,"-1/4*b^5/x^4-a*b^4/x^5-5/3*a^2*b^3/x^6-10/7*a^3*b^2/x^7-5/8*a^4*b/x^8-1/9*a^5/x^9","A"
247,1,47,46,0.006000," ","int((b*x+a)^4/x^10,x)","-\frac{b^{4}}{5 x^{5}}-\frac{2 a \,b^{3}}{3 x^{6}}-\frac{6 a^{2} b^{2}}{7 x^{7}}-\frac{a^{3} b}{2 x^{8}}-\frac{a^{4}}{9 x^{9}}"," ",0,"-1/9*a^4/x^9-1/2*a^3*b/x^8-6/7*a^2*b^2/x^7-2/3*a*b^3/x^6-1/5*b^4/x^5","A"
248,1,36,35,0.004000," ","int((b*x+a)^3/x^10,x)","-\frac{b^{3}}{6 x^{6}}-\frac{3 a \,b^{2}}{7 x^{7}}-\frac{3 a^{2} b}{8 x^{8}}-\frac{a^{3}}{9 x^{9}}"," ",0,"-1/9*a^3/x^9-3/8*a^2*b/x^8-3/7*a*b^2/x^7-1/6*b^3/x^6","A"
249,1,25,24,0.005000," ","int((b*x+a)^2/x^10,x)","-\frac{b^{2}}{7 x^{7}}-\frac{a b}{4 x^{8}}-\frac{a^{2}}{9 x^{9}}"," ",0,"-1/9*a^2/x^9-1/4*a*b/x^8-1/7*b^2/x^7","A"
250,1,14,13,0.005000," ","int((b*x+a)/x^10,x)","-\frac{b}{8 x^{8}}-\frac{a}{9 x^{9}}"," ",0,"-1/9*a/x^9-1/8*b/x^8","A"
251,1,6,5,0.002000," ","int(1/x^10,x)","-\frac{1}{9 x^{9}}"," ",0,"-1/9/x^9","A"
252,1,119,118,0.010000," ","int(1/x^10/(b*x+a),x)","-\frac{b^{9} \ln \left(x \right)}{a^{10}}+\frac{b^{9} \ln \left(b x +a \right)}{a^{10}}-\frac{b^{8}}{a^{9} x}+\frac{b^{7}}{2 a^{8} x^{2}}-\frac{b^{6}}{3 a^{7} x^{3}}+\frac{b^{5}}{4 a^{6} x^{4}}-\frac{b^{4}}{5 a^{5} x^{5}}+\frac{b^{3}}{6 a^{4} x^{6}}-\frac{b^{2}}{7 a^{3} x^{7}}+\frac{b}{8 a^{2} x^{8}}-\frac{1}{9 a \,x^{9}}"," ",0,"-1/9/a/x^9+1/8*b/a^2/x^8-1/7*b^2/a^3/x^7+1/6*b^3/a^4/x^6-1/5*b^4/a^5/x^5+1/4*b^5/a^6/x^4-1/3*b^6/a^7/x^3+1/2*b^7/a^8/x^2-b^8/a^9/x-b^9*ln(x)/a^10+b^9*ln(b*x+a)/a^10","A"
253,1,135,134,0.011000," ","int(1/x^10/(b*x+a)^2,x)","-\frac{b^{9}}{\left(b x +a \right) a^{10}}-\frac{10 b^{9} \ln \left(x \right)}{a^{11}}+\frac{10 b^{9} \ln \left(b x +a \right)}{a^{11}}-\frac{9 b^{8}}{a^{10} x}+\frac{4 b^{7}}{a^{9} x^{2}}-\frac{7 b^{6}}{3 a^{8} x^{3}}+\frac{3 b^{5}}{2 a^{7} x^{4}}-\frac{b^{4}}{a^{6} x^{5}}+\frac{2 b^{3}}{3 a^{5} x^{6}}-\frac{3 b^{2}}{7 a^{4} x^{7}}+\frac{b}{4 a^{3} x^{8}}-\frac{1}{9 a^{2} x^{9}}"," ",0,"-1/9/a^2/x^9+1/4*b/a^3/x^8-3/7*b^2/a^4/x^7+2/3*b^3/a^5/x^6-b^4/a^6/x^5+3/2*b^5/a^7/x^4-7/3*b^6/a^8/x^3+4*b^7/a^9/x^2-9*b^8/a^10/x-b^9/a^10/(b*x+a)-10*b^9*ln(x)/a^11+10*b^9*ln(b*x+a)/a^11","A"
254,1,150,149,0.014000," ","int(1/x^10/(b*x+a)^3,x)","-\frac{b^{9}}{2 \left(b x +a \right)^{2} a^{10}}-\frac{10 b^{9}}{\left(b x +a \right) a^{11}}-\frac{55 b^{9} \ln \left(x \right)}{a^{12}}+\frac{55 b^{9} \ln \left(b x +a \right)}{a^{12}}-\frac{45 b^{8}}{a^{11} x}+\frac{18 b^{7}}{a^{10} x^{2}}-\frac{28 b^{6}}{3 a^{9} x^{3}}+\frac{21 b^{5}}{4 a^{8} x^{4}}-\frac{3 b^{4}}{a^{7} x^{5}}+\frac{5 b^{3}}{3 a^{6} x^{6}}-\frac{6 b^{2}}{7 a^{5} x^{7}}+\frac{3 b}{8 a^{4} x^{8}}-\frac{1}{9 a^{3} x^{9}}"," ",0,"-1/9/a^3/x^9+3/8*b/a^4/x^8-6/7*b^2/a^5/x^7+5/3*b^3/a^6/x^6-3*b^4/a^7/x^5+21/4*b^5/a^8/x^4-28/3*b^6/a^9/x^3+18*b^7/a^10/x^2-45*b^8/a^11/x-1/2*b^9/a^10/(b*x+a)^2-10*b^9/a^11/(b*x+a)-55*b^9*ln(x)/a^12+55*b^9*ln(b*x+a)/a^12","A"
255,1,14,13,0.006000," ","int(1/x/(2+3*x),x)","\frac{\ln \left(x \right)}{2}-\frac{\ln \left(3 x +2\right)}{2}"," ",0,"1/2*ln(x)-1/2*ln(2+3*x)","A"
256,1,14,13,0.001000," ","int(1/x/(4+6*x),x)","\frac{\ln \left(x \right)}{4}-\frac{\ln \left(3 x +2\right)}{4}"," ",0,"1/4*ln(x)-1/4*ln(3*x+2)","A"
257,1,19,18,0.007000," ","int(1/x^2/(4+6*x),x)","-\frac{3 \ln \left(x \right)}{8}+\frac{3 \ln \left(3 x +2\right)}{8}-\frac{1}{4 x}"," ",0,"-1/4/x-3/8*ln(x)+3/8*ln(3*x+2)","A"
258,1,24,23,0.008000," ","int(1/x^3/(4+6*x),x)","\frac{9 \ln \left(x \right)}{16}-\frac{9 \ln \left(3 x +2\right)}{16}+\frac{3}{8 x}-\frac{1}{8 x^{2}}"," ",0,"-1/8/x^2+3/8/x+9/16*ln(x)-9/16*ln(3*x+2)","A"
259,1,29,28,0.006000," ","int(1/x^4/(4+6*x),x)","-\frac{27 \ln \left(x \right)}{32}+\frac{27 \ln \left(3 x +2\right)}{32}-\frac{9}{16 x}+\frac{3}{16 x^{2}}-\frac{1}{12 x^{3}}"," ",0,"-1/12/x^3+3/16/x^2-9/16/x-27/32*ln(x)+27/32*ln(3*x+2)","A"
260,1,34,33,0.006000," ","int(1/x^5/(4+6*x),x)","\frac{81 \ln \left(x \right)}{64}-\frac{81 \ln \left(3 x +2\right)}{64}+\frac{27}{32 x}-\frac{9}{32 x^{2}}+\frac{1}{8 x^{3}}-\frac{1}{16 x^{4}}"," ",0,"-1/16/x^4+1/8/x^3-9/32/x^2+27/32/x+81/64*ln(x)-81/64*ln(3*x+2)","A"
261,1,23,22,0.007000," ","int(1/x/(4+6*x)^2,x)","\frac{\ln \left(x \right)}{16}-\frac{\ln \left(3 x +2\right)}{16}+\frac{1}{24 x +16}"," ",0,"1/8/(3*x+2)+1/16*ln(x)-1/16*ln(3*x+2)","A"
262,1,28,27,0.008000," ","int(1/x^2/(4+6*x)^2,x)","-\frac{3 \ln \left(x \right)}{16}+\frac{3 \ln \left(3 x +2\right)}{16}-\frac{1}{16 x}-\frac{3}{16 \left(3 x +2\right)}"," ",0,"-1/16/x-3/16/(3*x+2)-3/16*ln(x)+3/16*ln(3*x+2)","A"
263,1,33,32,0.009000," ","int(1/x^3/(4+6*x)^2,x)","\frac{27 \ln \left(x \right)}{64}-\frac{27 \ln \left(3 x +2\right)}{64}+\frac{3}{16 x}-\frac{1}{32 x^{2}}+\frac{9}{32 \left(3 x +2\right)}"," ",0,"-1/32/x^2+3/16/x+9/32/(3*x+2)+27/64*ln(x)-27/64*ln(3*x+2)","A"
264,1,38,37,0.006000," ","int(1/x^4/(4+6*x)^2,x)","-\frac{27 \ln \left(x \right)}{32}+\frac{27 \ln \left(3 x +2\right)}{32}-\frac{27}{64 x}+\frac{3}{32 x^{2}}-\frac{1}{48 x^{3}}-\frac{27}{64 \left(3 x +2\right)}"," ",0,"-1/48/x^3+3/32/x^2-27/64/x-27/64/(3*x+2)-27/32*ln(x)+27/32*ln(3*x+2)","A"
265,1,43,42,0.009000," ","int(1/x^5/(4+6*x)^2,x)","\frac{405 \ln \left(x \right)}{256}-\frac{405 \ln \left(3 x +2\right)}{256}+\frac{27}{32 x}-\frac{27}{128 x^{2}}+\frac{1}{16 x^{3}}-\frac{1}{64 x^{4}}+\frac{81}{128 \left(3 x +2\right)}"," ",0,"-1/64/x^4+1/16/x^3-27/128/x^2+27/32/x+81/128/(3*x+2)+405/256*ln(x)-405/256*ln(3*x+2)","A"
266,1,32,31,0.007000," ","int(1/x/(4+6*x)^3,x)","\frac{\ln \left(x \right)}{64}-\frac{\ln \left(3 x +2\right)}{64}+\frac{1}{32 \left(3 x +2\right)^{2}}+\frac{1}{96 x +64}"," ",0,"1/32/(3*x+2)^2+1/32/(3*x+2)+1/64*ln(x)-1/64*ln(3*x+2)","A"
267,1,37,36,0.009000," ","int(1/x^2/(4+6*x)^3,x)","-\frac{9 \ln \left(x \right)}{128}+\frac{9 \ln \left(3 x +2\right)}{128}-\frac{1}{64 x}-\frac{3}{64 \left(3 x +2\right)^{2}}-\frac{3}{32 \left(3 x +2\right)}"," ",0,"-1/64/x-3/64/(3*x+2)^2-3/32/(3*x+2)-9/128*ln(x)+9/128*ln(3*x+2)","A"
268,1,42,41,0.009000," ","int(1/x^3/(4+6*x)^3,x)","\frac{27 \ln \left(x \right)}{128}-\frac{27 \ln \left(3 x +2\right)}{128}+\frac{9}{128 x}-\frac{1}{128 x^{2}}+\frac{9}{128 \left(3 x +2\right)^{2}}+\frac{27}{128 \left(3 x +2\right)}"," ",0,"-1/128/x^2+9/128/x+9/128/(3*x+2)^2+27/128/(3*x+2)+27/128*ln(x)-27/128*ln(3*x+2)","A"
269,1,47,46,0.008000," ","int(1/x^4/(4+6*x)^3,x)","-\frac{135 \ln \left(x \right)}{256}+\frac{135 \ln \left(3 x +2\right)}{256}-\frac{27}{128 x}+\frac{9}{256 x^{2}}-\frac{1}{192 x^{3}}-\frac{27}{256 \left(3 x +2\right)^{2}}-\frac{27}{64 \left(3 x +2\right)}"," ",0,"-1/192/x^3+9/256/x^2-27/128/x-27/256/(3*x+2)^2-27/64/(3*x+2)-135/256*ln(x)+135/256*ln(3*x+2)","A"
270,1,52,51,0.010000," ","int(1/x^5/(4+6*x)^3,x)","\frac{1215 \ln \left(x \right)}{1024}-\frac{1215 \ln \left(3 x +2\right)}{1024}+\frac{135}{256 x}-\frac{27}{256 x^{2}}+\frac{3}{128 x^{3}}-\frac{1}{256 x^{4}}+\frac{81}{512 \left(3 x +2\right)^{2}}+\frac{405}{512 \left(3 x +2\right)}"," ",0,"-1/256/x^4+3/128/x^3-27/256/x^2+135/256/x+81/512/(3*x+2)^2+405/512/(3*x+2)+1215/1024*ln(x)-1215/1024*ln(3*x+2)","A"
271,1,9,6,0.001000," ","int(1/(2+2*x),x)","\frac{\ln \left(2 x +2\right)}{2}"," ",0,"1/2*ln(2+2*x)","A"
272,1,9,8,0.002000," ","int(1/(4-6*x),x)","-\frac{\ln \left(-6 x +4\right)}{6}"," ",0,"-1/6*ln(4-6*x)","A"
273,1,13,10,0.002000," ","int(1/(a+x*a^(1/2)),x)","\frac{\ln \left(\sqrt{a}\, x +a \right)}{\sqrt{a}}"," ",0,"ln(a+x*a^(1/2))/a^(1/2)","A"
274,1,17,16,0.000000," ","int(1/(a+x*(-a)^(1/2)),x)","\frac{\ln \left(a +\sqrt{-a}\, x \right)}{\sqrt{-a}}"," ",0,"ln(a+x*(-a)^(1/2))/(-a)^(1/2)","A"
275,1,19,18,0.001000," ","int(1/(a^2+(-a)^(1/2)*x),x)","\frac{\ln \left(a^{2}+\sqrt{-a}\, x \right)}{\sqrt{-a}}"," ",0,"ln(a^2+(-a)^(1/2)*x)/(-a)^(1/2)","A"
276,1,19,18,0.001000," ","int(1/(a^3+(-a)^(1/2)*x),x)","\frac{\ln \left(a^{3}+\sqrt{-a}\, x \right)}{\sqrt{-a}}"," ",0,"ln(a^3+(-a)^(1/2)*x)/(-a)^(1/2)","A"
277,1,19,17,0.000000," ","int(1/(1/a+(-a)^(1/2)*x),x)","\frac{\ln \left(\sqrt{-a}\, x +\frac{1}{a}\right)}{\sqrt{-a}}"," ",0,"ln(1/a+(-a)^(1/2)*x)/(-a)^(1/2)","A"
278,1,19,16,0.001000," ","int(1/(1/a^2+(-a)^(1/2)*x),x)","\frac{\ln \left(\sqrt{-a}\, x +\frac{1}{a^{2}}\right)}{\sqrt{-a}}"," ",0,"ln(1/a^2+(-a)^(1/2)*x)/(-a)^(1/2)","A"
279,1,12,11,0.004000," ","int(1/x/(b*x+1),x)","\ln \left(x \right)-\ln \left(b x +1\right)"," ",0,"ln(x)-ln(b*x+1)","A"
280,1,12,12,0.006000," ","int(1/x/(b*x-1),x)","-\ln \left(x \right)+\ln \left(b x -1\right)"," ",0,"ln(b*x-1)-ln(x)","A"
281,1,20,19,0.007000," ","int(1/x^2/(b*x+1),x)","-b \ln \left(x \right)+b \ln \left(b x +1\right)-\frac{1}{x}"," ",0,"-1/x-b*ln(x)+b*ln(b*x+1)","A"
282,1,18,18,0.006000," ","int(1/x^2/(b*x-1),x)","-b \ln \left(x \right)+b \ln \left(b x -1\right)+\frac{1}{x}"," ",0,"b*ln(b*x-1)+1/x-b*ln(x)","A"
283,1,15,14,0.001000," ","int(b/x+1/x^2/(b*x+1),x)","b \ln \left(b x +1\right)-\frac{1}{x}"," ",0,"-1/x+b*ln(b*x+1)","A"
284,1,43,56,0.015000," ","int(x^3*(b*x+a)^(1/2),x)","-\frac{2 \left(b x +a \right)^{\frac{3}{2}} \left(-35 b^{3} x^{3}+30 a \,b^{2} x^{2}-24 a^{2} b x +16 a^{3}\right)}{315 b^{4}}"," ",0,"-2/315*(b*x+a)^(3/2)*(-35*b^3*x^3+30*a*b^2*x^2-24*a^2*b*x+16*a^3)/b^4","A"
285,1,32,41,0.004000," ","int(x^2*(b*x+a)^(1/2),x)","\frac{2 \left(b x +a \right)^{\frac{3}{2}} \left(15 b^{2} x^{2}-12 a b x +8 a^{2}\right)}{105 b^{3}}"," ",0,"2/105*(b*x+a)^(3/2)*(15*b^2*x^2-12*a*b*x+8*a^2)/b^3","A"
286,1,21,26,0.003000," ","int(x*(b*x+a)^(1/2),x)","-\frac{2 \left(b x +a \right)^{\frac{3}{2}} \left(-3 b x +2 a \right)}{15 b^{2}}"," ",0,"-2/15*(b*x+a)^(3/2)*(-3*b*x+2*a)/b^2","A"
287,1,13,12,0.003000," ","int((b*x+a)^(1/2),x)","\frac{2 \left(b x +a \right)^{\frac{3}{2}}}{3 b}"," ",0,"2/3*(b*x+a)^(3/2)/b","A"
288,1,28,27,0.013000," ","int((b*x+a)^(1/2)/x,x)","-2 \sqrt{a}\, \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)+2 \sqrt{b x +a}"," ",0,"-2*arctanh((b*x+a)^(1/2)/a^(1/2))*a^(1/2)+2*(b*x+a)^(1/2)","A"
289,1,37,31,0.012000," ","int((b*x+a)^(1/2)/x^2,x)","2 \left(-\frac{\arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{2 \sqrt{a}}-\frac{\sqrt{b x +a}}{2 b x}\right) b"," ",0,"2*b*(-1/2*(b*x+a)^(1/2)/x/b-1/2*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(1/2))","A"
290,1,53,49,0.012000," ","int((b*x+a)^(1/2)/x^3,x)","2 \left(\frac{\arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{8 a^{\frac{3}{2}}}+\frac{-\frac{\left(b x +a \right)^{\frac{3}{2}}}{8 a}-\frac{\sqrt{b x +a}}{8}}{b^{2} x^{2}}\right) b^{2}"," ",0,"2*b^2*((-1/8/a*(b*x+a)^(3/2)-1/8*(b*x+a)^(1/2))/x^2/b^2+1/8*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(3/2))","A"
291,1,65,67,0.013000," ","int((b*x+a)^(1/2)/x^4,x)","2 \left(-\frac{\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}}}{6 a}+\frac{\left(b x +a \right)^{\frac{5}{2}}}{16 a^{2}}-\frac{\sqrt{b x +a}}{16}}{b^{3} x^{3}}\right) b^{3}"," ",0,"2*b^3*((1/16/a^2*(b*x+a)^(5/2)-1/6*(b*x+a)^(3/2)/a-1/16*(b*x+a)^(1/2))/x^3/b^3-1/16*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(5/2))","A"
292,1,43,56,0.005000," ","int(x^3*(b*x+a)^(3/2),x)","-\frac{2 \left(b x +a \right)^{\frac{5}{2}} \left(-105 b^{3} x^{3}+70 a \,b^{2} x^{2}-40 a^{2} b x +16 a^{3}\right)}{1155 b^{4}}"," ",0,"-2/1155*(b*x+a)^(5/2)*(-105*b^3*x^3+70*a*b^2*x^2-40*a^2*b*x+16*a^3)/b^4","A"
293,1,32,41,0.006000," ","int(x^2*(b*x+a)^(3/2),x)","\frac{2 \left(b x +a \right)^{\frac{5}{2}} \left(35 b^{2} x^{2}-20 a b x +8 a^{2}\right)}{315 b^{3}}"," ",0,"2/315*(b*x+a)^(5/2)*(35*b^2*x^2-20*a*b*x+8*a^2)/b^3","A"
294,1,21,26,0.002000," ","int(x*(b*x+a)^(3/2),x)","-\frac{2 \left(b x +a \right)^{\frac{5}{2}} \left(-5 b x +2 a \right)}{35 b^{2}}"," ",0,"-2/35*(b*x+a)^(5/2)*(-5*b*x+2*a)/b^2","A"
295,1,13,12,0.001000," ","int((b*x+a)^(3/2),x)","\frac{2 \left(b x +a \right)^{\frac{5}{2}}}{5 b}"," ",0,"2/5*(b*x+a)^(5/2)/b","A"
296,1,38,37,0.007000," ","int((b*x+a)^(3/2)/x,x)","-2 a^{\frac{3}{2}} \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)+2 \sqrt{b x +a}\, a +\frac{2 \left(b x +a \right)^{\frac{3}{2}}}{3}"," ",0,"2/3*(b*x+a)^(3/2)-2*a^(3/2)*arctanh((b*x+a)^(1/2)/a^(1/2))+2*a*(b*x+a)^(1/2)","A"
297,1,47,41,0.011000," ","int((b*x+a)^(3/2)/x^2,x)","2 \left(\left(-\frac{3 \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{2 \sqrt{a}}-\frac{\sqrt{b x +a}}{2 b x}\right) a +\sqrt{b x +a}\right) b"," ",0,"2*b*((b*x+a)^(1/2)+a*(-1/2*(b*x+a)^(1/2)/b/x-3/2*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(1/2)))","A"
298,1,51,46,0.012000," ","int((b*x+a)^(3/2)/x^3,x)","2 \left(-\frac{3 \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{8 \sqrt{a}}+\frac{\frac{3 \sqrt{b x +a}\, a}{8}-\frac{5 \left(b x +a \right)^{\frac{3}{2}}}{8}}{b^{2} x^{2}}\right) b^{2}"," ",0,"2*b^2*((-5/8*(b*x+a)^(3/2)+3/8*(b*x+a)^(1/2)*a)/x^2/b^2-3/8*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(1/2))","A"
299,1,63,64,0.012000," ","int((b*x+a)^(3/2)/x^4,x)","2 \left(\frac{\arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{16 a^{\frac{3}{2}}}+\frac{\frac{\sqrt{b x +a}\, a}{16}-\frac{\left(b x +a \right)^{\frac{5}{2}}}{16 a}-\frac{\left(b x +a \right)^{\frac{3}{2}}}{6}}{b^{3} x^{3}}\right) b^{3}"," ",0,"2*b^3*((-1/16/a*(b*x+a)^(5/2)-1/6*(b*x+a)^(3/2)+1/16*(b*x+a)^(1/2)*a)/x^3/b^3+1/16*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(3/2))","A"
300,1,43,56,0.006000," ","int(x^3*(b*x+a)^(5/2),x)","-\frac{2 \left(b x +a \right)^{\frac{7}{2}} \left(-231 b^{3} x^{3}+126 a \,b^{2} x^{2}-56 a^{2} b x +16 a^{3}\right)}{3003 b^{4}}"," ",0,"-2/3003*(b*x+a)^(7/2)*(-231*b^3*x^3+126*a*b^2*x^2-56*a^2*b*x+16*a^3)/b^4","A"
301,1,32,41,0.005000," ","int(x^2*(b*x+a)^(5/2),x)","\frac{2 \left(b x +a \right)^{\frac{7}{2}} \left(63 b^{2} x^{2}-28 a b x +8 a^{2}\right)}{693 b^{3}}"," ",0,"2/693*(b*x+a)^(7/2)*(63*b^2*x^2-28*a*b*x+8*a^2)/b^3","A"
302,1,21,26,0.003000," ","int(x*(b*x+a)^(5/2),x)","-\frac{2 \left(b x +a \right)^{\frac{7}{2}} \left(-7 b x +2 a \right)}{63 b^{2}}"," ",0,"-2/63*(b*x+a)^(7/2)*(-7*b*x+2*a)/b^2","A"
303,1,13,12,0.002000," ","int((b*x+a)^(5/2),x)","\frac{2 \left(b x +a \right)^{\frac{7}{2}}}{7 b}"," ",0,"2/7*(b*x+a)^(7/2)/b","A"
304,1,50,49,0.007000," ","int((b*x+a)^(5/2)/x,x)","-2 a^{\frac{5}{2}} \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)+2 \sqrt{b x +a}\, a^{2}+\frac{2 \left(b x +a \right)^{\frac{3}{2}} a}{3}+\frac{2 \left(b x +a \right)^{\frac{5}{2}}}{5}"," ",0,"2/3*a*(b*x+a)^(3/2)+2/5*(b*x+a)^(5/2)-2*a^(5/2)*arctanh((b*x+a)^(1/2)/a^(1/2))+2*a^2*(b*x+a)^(1/2)","A"
305,1,61,52,0.010000," ","int((b*x+a)^(5/2)/x^2,x)","2 \left(\left(-\frac{5 \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{2 \sqrt{a}}-\frac{\sqrt{b x +a}}{2 b x}\right) a^{2}+2 \sqrt{b x +a}\, a +\frac{\left(b x +a \right)^{\frac{3}{2}}}{3}\right) b"," ",0,"2*b*(1/3*(b*x+a)^(3/2)+2*(b*x+a)^(1/2)*a+a^2*(-1/2*(b*x+a)^(1/2)/b/x-5/2*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(1/2)))","A"
306,1,61,58,0.010000," ","int((b*x+a)^(5/2)/x^3,x)","2 \left(\left(-\frac{15 \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{8 \sqrt{a}}+\frac{\frac{7 \sqrt{b x +a}\, a}{8}-\frac{9 \left(b x +a \right)^{\frac{3}{2}}}{8}}{b^{2} x^{2}}\right) a +\sqrt{b x +a}\right) b^{2}"," ",0,"2*b^2*((b*x+a)^(1/2)+a*((-9/8*(b*x+a)^(3/2)+7/8*(b*x+a)^(1/2)*a)/x^2/b^2-15/8*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(1/2)))","A"
307,1,63,61,0.010000," ","int((b*x+a)^(5/2)/x^4,x)","2 \left(-\frac{5 \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{16 \sqrt{a}}+\frac{-\frac{5 \sqrt{b x +a}\, a^{2}}{16}+\frac{5 \left(b x +a \right)^{\frac{3}{2}} a}{6}-\frac{11 \left(b x +a \right)^{\frac{5}{2}}}{16}}{b^{3} x^{3}}\right) b^{3}"," ",0,"2*b^3*((-11/16*(b*x+a)^(5/2)+5/6*(b*x+a)^(3/2)*a-5/16*(b*x+a)^(1/2)*a^2)/x^3/b^3-5/16*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(1/2))","A"
308,1,75,79,0.012000," ","int((b*x+a)^(5/2)/x^5,x)","2 \left(\frac{5 \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{128 a^{\frac{3}{2}}}+\frac{-\frac{5 \sqrt{b x +a}\, a^{2}}{128}+\frac{55 \left(b x +a \right)^{\frac{3}{2}} a}{384}-\frac{5 \left(b x +a \right)^{\frac{7}{2}}}{128 a}-\frac{73 \left(b x +a \right)^{\frac{5}{2}}}{384}}{b^{4} x^{4}}\right) b^{4}"," ",0,"2*b^4*((-5/128/a*(b*x+a)^(7/2)-73/384*(b*x+a)^(5/2)+55/384*(b*x+a)^(3/2)*a-5/128*(b*x+a)^(1/2)*a^2)/x^4/b^4+5/128*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(3/2))","A"
309,1,87,116,0.006000," ","int(x^7*(b*x+a)^(9/2),x)","-\frac{2 \left(b x +a \right)^{\frac{11}{2}} \left(-1062347 b^{7} x^{7}+646646 a \,b^{6} x^{6}-369512 a^{2} b^{5} x^{5}+194480 a^{3} b^{4} x^{4}-91520 a^{4} b^{3} x^{3}+36608 a^{5} b^{2} x^{2}-11264 a^{6} b x +2048 a^{7}\right)}{26558675 b^{8}}"," ",0,"-2/26558675*(b*x+a)^(11/2)*(-1062347*b^7*x^7+646646*a*b^6*x^6-369512*a^2*b^5*x^5+194480*a^3*b^4*x^4-91520*a^4*b^3*x^3+36608*a^5*b^2*x^2-11264*a^6*b*x+2048*a^7)/b^8","A"
310,1,76,101,0.007000," ","int(x^6*(b*x+a)^(9/2),x)","\frac{2 \left(b x +a \right)^{\frac{11}{2}} \left(323323 x^{6} b^{6}-184756 a \,x^{5} b^{5}+97240 a^{2} x^{4} b^{4}-45760 a^{3} x^{3} b^{3}+18304 a^{4} x^{2} b^{2}-5632 a^{5} x b +1024 a^{6}\right)}{7436429 b^{7}}"," ",0,"2/7436429*(b*x+a)^(11/2)*(323323*b^6*x^6-184756*a*b^5*x^5+97240*a^2*b^4*x^4-45760*a^3*b^3*x^3+18304*a^4*b^2*x^2-5632*a^5*b*x+1024*a^6)/b^7","A"
311,1,65,86,0.006000," ","int(x^5*(b*x+a)^(9/2),x)","-\frac{2 \left(b x +a \right)^{\frac{11}{2}} \left(-46189 b^{5} x^{5}+24310 a \,b^{4} x^{4}-11440 a^{2} b^{3} x^{3}+4576 a^{3} b^{2} x^{2}-1408 a^{4} b x +256 a^{5}\right)}{969969 b^{6}}"," ",0,"-2/969969*(b*x+a)^(11/2)*(-46189*b^5*x^5+24310*a*b^4*x^4-11440*a^2*b^3*x^3+4576*a^3*b^2*x^2-1408*a^4*b*x+256*a^5)/b^6","A"
312,1,54,71,0.006000," ","int(x^4*(b*x+a)^(9/2),x)","\frac{2 \left(b x +a \right)^{\frac{11}{2}} \left(12155 x^{4} b^{4}-5720 a \,x^{3} b^{3}+2288 a^{2} x^{2} b^{2}-704 a^{3} x b +128 a^{4}\right)}{230945 b^{5}}"," ",0,"2/230945*(b*x+a)^(11/2)*(12155*b^4*x^4-5720*a*b^3*x^3+2288*a^2*b^2*x^2-704*a^3*b*x+128*a^4)/b^5","A"
313,1,43,56,0.006000," ","int(x^3*(b*x+a)^(9/2),x)","-\frac{2 \left(b x +a \right)^{\frac{11}{2}} \left(-715 b^{3} x^{3}+286 a \,b^{2} x^{2}-88 a^{2} b x +16 a^{3}\right)}{12155 b^{4}}"," ",0,"-2/12155*(b*x+a)^(11/2)*(-715*b^3*x^3+286*a*b^2*x^2-88*a^2*b*x+16*a^3)/b^4","A"
314,1,32,41,0.004000," ","int(x^2*(b*x+a)^(9/2),x)","\frac{2 \left(b x +a \right)^{\frac{11}{2}} \left(143 b^{2} x^{2}-44 a b x +8 a^{2}\right)}{2145 b^{3}}"," ",0,"2/2145*(b*x+a)^(11/2)*(143*b^2*x^2-44*a*b*x+8*a^2)/b^3","A"
315,1,21,26,0.003000," ","int(x*(b*x+a)^(9/2),x)","-\frac{2 \left(b x +a \right)^{\frac{11}{2}} \left(-11 b x +2 a \right)}{143 b^{2}}"," ",0,"-2/143*(b*x+a)^(11/2)*(-11*b*x+2*a)/b^2","A"
316,1,13,12,0.003000," ","int((b*x+a)^(9/2),x)","\frac{2 \left(b x +a \right)^{\frac{11}{2}}}{11 b}"," ",0,"2/11*(b*x+a)^(11/2)/b","A"
317,1,74,73,0.007000," ","int((b*x+a)^(9/2)/x,x)","-2 a^{\frac{9}{2}} \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)+2 \sqrt{b x +a}\, a^{4}+\frac{2 \left(b x +a \right)^{\frac{3}{2}} a^{3}}{3}+\frac{2 \left(b x +a \right)^{\frac{5}{2}} a^{2}}{5}+\frac{2 \left(b x +a \right)^{\frac{7}{2}} a}{7}+\frac{2 \left(b x +a \right)^{\frac{9}{2}}}{9}"," ",0,"2/3*a^3*(b*x+a)^(3/2)+2/5*a^2*(b*x+a)^(5/2)+2/7*a*(b*x+a)^(7/2)+2/9*(b*x+a)^(9/2)-2*a^(9/2)*arctanh((b*x+a)^(1/2)/a^(1/2))+2*a^4*(b*x+a)^(1/2)","A"
318,1,84,78,0.010000," ","int((b*x+a)^(9/2)/x^2,x)","2 \left(\left(-\frac{9 \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{2 \sqrt{a}}-\frac{\sqrt{b x +a}}{2 b x}\right) a^{4}+4 \sqrt{b x +a}\, a^{3}+\left(b x +a \right)^{\frac{3}{2}} a^{2}+\frac{2 \left(b x +a \right)^{\frac{5}{2}} a}{5}+\frac{\left(b x +a \right)^{\frac{7}{2}}}{7}\right) b"," ",0,"2*b*(1/7*(b*x+a)^(7/2)+2/5*a*(b*x+a)^(5/2)+a^2*(b*x+a)^(3/2)+4*(b*x+a)^(1/2)*a^3+a^4*(-1/2*(b*x+a)^(1/2)/b/x-9/2*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(1/2)))","A"
319,1,86,86,0.011000," ","int((b*x+a)^(9/2)/x^3,x)","2 \left(\left(-\frac{63 \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{8 \sqrt{a}}+\frac{\frac{15 \sqrt{b x +a}\, a}{8}-\frac{17 \left(b x +a \right)^{\frac{3}{2}}}{8}}{b^{2} x^{2}}\right) a^{3}+6 \sqrt{b x +a}\, a^{2}+\left(b x +a \right)^{\frac{3}{2}} a +\frac{\left(b x +a \right)^{\frac{5}{2}}}{5}\right) b^{2}"," ",0,"2*b^2*(1/5*(b*x+a)^(5/2)+(b*x+a)^(3/2)*a+6*(b*x+a)^(1/2)*a^2+a^3*((-17/8*(b*x+a)^(3/2)+15/8*(b*x+a)^(1/2)*a)/x^2/b^2-63/8*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(1/2)))","A"
320,1,87,86,0.013000," ","int((b*x+a)^(9/2)/x^4,x)","2 \left(\left(-\frac{105 \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{16 \sqrt{a}}+\frac{-\frac{41 \sqrt{b x +a}\, a^{2}}{16}+\frac{35 \left(b x +a \right)^{\frac{3}{2}} a}{6}-\frac{55 \left(b x +a \right)^{\frac{5}{2}}}{16}}{b^{3} x^{3}}\right) a^{2}+4 \sqrt{b x +a}\, a +\frac{\left(b x +a \right)^{\frac{3}{2}}}{3}\right) b^{3}"," ",0,"2*b^3*(1/3*(b*x+a)^(3/2)+4*(b*x+a)^(1/2)*a+a^2*((-55/16*(b*x+a)^(5/2)+35/6*(b*x+a)^(3/2)*a-41/16*(b*x+a)^(1/2)*a^2)/x^3/b^3-105/16*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(1/2)))","A"
321,1,85,88,0.013000," ","int((b*x+a)^(9/2)/x^5,x)","2 \left(\left(-\frac{315 \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{128 \sqrt{a}}+\frac{\frac{187 \sqrt{b x +a}\, a^{3}}{128}-\frac{643 \left(b x +a \right)^{\frac{3}{2}} a^{2}}{128}+\frac{765 \left(b x +a \right)^{\frac{5}{2}} a}{128}-\frac{325 \left(b x +a \right)^{\frac{7}{2}}}{128}}{b^{4} x^{4}}\right) a +\sqrt{b x +a}\right) b^{4}"," ",0,"2*b^4*((b*x+a)^(1/2)+a*((-325/128*(b*x+a)^(7/2)+765/128*(b*x+a)^(5/2)*a-643/128*(b*x+a)^(3/2)*a^2+187/128*(b*x+a)^(1/2)*a^3)/x^4/b^4-315/128*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(1/2)))","A"
322,1,87,91,0.013000," ","int((b*x+a)^(9/2)/x^6,x)","2 \left(-\frac{63 \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{256 \sqrt{a}}+\frac{-\frac{63 \sqrt{b x +a}\, a^{4}}{256}+\frac{147 \left(b x +a \right)^{\frac{3}{2}} a^{3}}{128}-\frac{21 \left(b x +a \right)^{\frac{5}{2}} a^{2}}{10}+\frac{237 \left(b x +a \right)^{\frac{7}{2}} a}{128}-\frac{193 \left(b x +a \right)^{\frac{9}{2}}}{256}}{b^{5} x^{5}}\right) b^{5}"," ",0,"2*b^5*((-193/256*(b*x+a)^(9/2)+237/128*(b*x+a)^(7/2)*a-21/10*(b*x+a)^(5/2)*a^2+147/128*(b*x+a)^(3/2)*a^3-63/256*(b*x+a)^(1/2)*a^4)/x^5/b^5-63/256*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(1/2))","A"
323,1,99,109,0.014000," ","int((b*x+a)^(9/2)/x^7,x)","2 \left(\frac{21 \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{1024 a^{\frac{3}{2}}}+\frac{-\frac{21 \sqrt{b x +a}\, a^{4}}{1024}+\frac{119 \left(b x +a \right)^{\frac{3}{2}} a^{3}}{1024}-\frac{693 \left(b x +a \right)^{\frac{5}{2}} a^{2}}{2560}+\frac{843 \left(b x +a \right)^{\frac{7}{2}} a}{2560}-\frac{21 \left(b x +a \right)^{\frac{11}{2}}}{1024 a}-\frac{667 \left(b x +a \right)^{\frac{9}{2}}}{3072}}{b^{6} x^{6}}\right) b^{6}"," ",0,"2*b^6*((-21/1024/a*(b*x+a)^(11/2)-667/3072*(b*x+a)^(9/2)+843/2560*(b*x+a)^(7/2)*a-693/2560*(b*x+a)^(5/2)*a^2+119/1024*(b*x+a)^(3/2)*a^3-21/1024*(b*x+a)^(1/2)*a^4)/x^6/b^6+21/1024*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(3/2))","A"
324,1,111,127,0.014000," ","int((b*x+a)^(9/2)/x^8,x)","2 \left(-\frac{9 \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{2048 a^{\frac{5}{2}}}+\frac{-\frac{9 \sqrt{b x +a}\, a^{4}}{2048}+\frac{15 \left(b x +a \right)^{\frac{3}{2}} a^{3}}{512}-\frac{849 \left(b x +a \right)^{\frac{5}{2}} a^{2}}{10240}+\frac{9 \left(b x +a \right)^{\frac{7}{2}} a}{70}-\frac{15 \left(b x +a \right)^{\frac{11}{2}}}{512 a}+\frac{9 \left(b x +a \right)^{\frac{13}{2}}}{2048 a^{2}}-\frac{1199 \left(b x +a \right)^{\frac{9}{2}}}{10240}}{b^{7} x^{7}}\right) b^{7}"," ",0,"2*b^7*((9/2048/a^2*(b*x+a)^(13/2)-15/512*(b*x+a)^(11/2)/a-1199/10240*(b*x+a)^(9/2)+9/70*(b*x+a)^(7/2)*a-849/10240*(b*x+a)^(5/2)*a^2+15/512*(b*x+a)^(3/2)*a^3-9/2048*(b*x+a)^(1/2)*a^4)/x^7/b^7-9/2048*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(5/2))","A"
325,1,32,31,0.007000," ","int((b*x-a)^(1/2)/x,x)","-2 \sqrt{a}\, \arctan \left(\frac{\sqrt{b x -a}}{\sqrt{a}}\right)+2 \sqrt{b x -a}"," ",0,"-2*arctan((b*x-a)^(1/2)/a^(1/2))*a^(1/2)+2*(b*x-a)^(1/2)","A"
326,1,35,34,0.012000," ","int((b*x-a)^(1/2)/x^2,x)","\frac{b \arctan \left(\frac{\sqrt{b x -a}}{\sqrt{a}}\right)}{\sqrt{a}}-\frac{\sqrt{b x -a}}{x}"," ",0,"b*arctan((b*x-a)^(1/2)/a^(1/2))/a^(1/2)-(b*x-a)^(1/2)/x","A"
327,1,55,55,0.010000," ","int((b*x-a)^(1/2)/x^3,x)","\frac{b^{2} \arctan \left(\frac{\sqrt{b x -a}}{\sqrt{a}}\right)}{4 a^{\frac{3}{2}}}-\frac{\sqrt{b x -a}}{4 x^{2}}+\frac{\left(b x -a \right)^{\frac{3}{2}}}{4 a \,x^{2}}"," ",0,"1/4/x^2/a*(b*x-a)^(3/2)-1/4*(b*x-a)^(1/2)/x^2+1/4*b^2*arctan((b*x-a)^(1/2)/a^(1/2))/a^(3/2)","A"
328,1,44,43,0.007000," ","int((b*x-a)^(3/2)/x,x)","2 a^{\frac{3}{2}} \arctan \left(\frac{\sqrt{b x -a}}{\sqrt{a}}\right)-2 \sqrt{b x -a}\, a +\frac{2 \left(b x -a \right)^{\frac{3}{2}}}{3}"," ",0,"2/3*(b*x-a)^(3/2)+2*a^(3/2)*arctan((b*x-a)^(1/2)/a^(1/2))-2*a*(b*x-a)^(1/2)","A"
329,1,48,47,0.011000," ","int((b*x-a)^(3/2)/x^2,x)","-3 \sqrt{a}\, b \arctan \left(\frac{\sqrt{b x -a}}{\sqrt{a}}\right)+2 \sqrt{b x -a}\, b +\frac{\sqrt{b x -a}\, a}{x}"," ",0,"2*b*(b*x-a)^(1/2)+a*(b*x-a)^(1/2)/x-3*b*arctan((b*x-a)^(1/2)/a^(1/2))*a^(1/2)","A"
330,1,53,52,0.012000," ","int((b*x-a)^(3/2)/x^3,x)","\frac{3 b^{2} \arctan \left(\frac{\sqrt{b x -a}}{\sqrt{a}}\right)}{4 \sqrt{a}}-\frac{3 \sqrt{b x -a}\, a}{4 x^{2}}-\frac{5 \left(b x -a \right)^{\frac{3}{2}}}{4 x^{2}}"," ",0,"-5/4*(b*x-a)^(3/2)/x^2-3/4/x^2*(b*x-a)^(1/2)*a+3/4*b^2*arctan((b*x-a)^(1/2)/a^(1/2))/a^(1/2)","A"
331,1,58,57,0.006000," ","int((b*x-a)^(5/2)/x,x)","-2 a^{\frac{5}{2}} \arctan \left(\frac{\sqrt{b x -a}}{\sqrt{a}}\right)+2 \sqrt{b x -a}\, a^{2}-\frac{2 \left(b x -a \right)^{\frac{3}{2}} a}{3}+\frac{2 \left(b x -a \right)^{\frac{5}{2}}}{5}"," ",0,"-2/3*a*(b*x-a)^(3/2)+2/5*(b*x-a)^(5/2)-2*a^(5/2)*arctan((b*x-a)^(1/2)/a^(1/2))+2*a^2*(b*x-a)^(1/2)","A"
332,1,64,60,0.012000," ","int((b*x-a)^(5/2)/x^2,x)","5 a^{\frac{3}{2}} b \arctan \left(\frac{\sqrt{b x -a}}{\sqrt{a}}\right)-4 \sqrt{b x -a}\, a b -\frac{\sqrt{b x -a}\, a^{2}}{x}+\frac{2 \left(b x -a \right)^{\frac{3}{2}} b}{3}"," ",0,"2/3*b*(b*x-a)^(3/2)-4*a*b*(b*x-a)^(1/2)-a^2*(b*x-a)^(1/2)/x+5*a^(3/2)*b*arctan((b*x-a)^(1/2)/a^(1/2))","A"
333,1,70,66,0.013000," ","int((b*x-a)^(5/2)/x^3,x)","-\frac{15 \sqrt{a}\, b^{2} \arctan \left(\frac{\sqrt{b x -a}}{\sqrt{a}}\right)}{4}+2 \sqrt{b x -a}\, b^{2}+\frac{7 \sqrt{b x -a}\, a^{2}}{4 x^{2}}+\frac{9 \left(b x -a \right)^{\frac{3}{2}} a}{4 x^{2}}"," ",0,"2*b^2*(b*x-a)^(1/2)+9/4*a/x^2*(b*x-a)^(3/2)+7/4/x^2*(b*x-a)^(1/2)*a^2-15/4*b^2*arctan((b*x-a)^(1/2)/a^(1/2))*a^(1/2)","A"
334,1,54,71,0.006000," ","int(x^4/(b*x+a)^(1/2),x)","\frac{2 \sqrt{b x +a}\, \left(35 x^{4} b^{4}-40 a \,x^{3} b^{3}+48 a^{2} x^{2} b^{2}-64 a^{3} x b +128 a^{4}\right)}{315 b^{5}}"," ",0,"2/315*(b*x+a)^(1/2)*(35*b^4*x^4-40*a*b^3*x^3+48*a^2*b^2*x^2-64*a^3*b*x+128*a^4)/b^5","A"
335,1,43,56,0.003000," ","int(x^3/(b*x+a)^(1/2),x)","-\frac{2 \sqrt{b x +a}\, \left(-5 b^{3} x^{3}+6 a \,b^{2} x^{2}-8 a^{2} b x +16 a^{3}\right)}{35 b^{4}}"," ",0,"-2/35*(b*x+a)^(1/2)*(-5*b^3*x^3+6*a*b^2*x^2-8*a^2*b*x+16*a^3)/b^4","A"
336,1,32,41,0.005000," ","int(x^2/(b*x+a)^(1/2),x)","\frac{2 \sqrt{b x +a}\, \left(3 b^{2} x^{2}-4 a b x +8 a^{2}\right)}{15 b^{3}}"," ",0,"2/15*(b*x+a)^(1/2)*(3*b^2*x^2-4*a*b*x+8*a^2)/b^3","A"
337,1,21,26,0.003000," ","int(x/(b*x+a)^(1/2),x)","-\frac{2 \sqrt{b x +a}\, \left(-b x +2 a \right)}{3 b^{2}}"," ",0,"-2/3*(b*x+a)^(1/2)*(-b*x+2*a)/b^2","A"
338,1,13,12,0.002000," ","int(1/(b*x+a)^(1/2),x)","\frac{2 \sqrt{b x +a}}{b}"," ",0,"2*(b*x+a)^(1/2)/b","A"
339,1,18,17,0.006000," ","int(1/x/(b*x+a)^(1/2),x)","-\frac{2 \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{\sqrt{a}}"," ",0,"-2*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(1/2)","A"
340,1,40,33,0.006000," ","int(1/x^2/(b*x+a)^(1/2),x)","2 \left(\frac{\arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{2 a^{\frac{3}{2}}}-\frac{\sqrt{b x +a}}{2 a b x}\right) b"," ",0,"2*b*(-1/2*(b*x+a)^(1/2)/a/x/b+1/2*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(3/2))","A"
341,1,66,52,0.006000," ","int(1/x^3/(b*x+a)^(1/2),x)","2 \left(-\frac{3 \left(\frac{\arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{2 a^{\frac{3}{2}}}-\frac{\sqrt{b x +a}}{2 a b x}\right)}{4 a}-\frac{\sqrt{b x +a}}{4 a \,b^{2} x^{2}}\right) b^{2}"," ",0,"2*b^2*(-1/4*(b*x+a)^(1/2)/a/x^2/b^2-3/4/a*(-1/2*(b*x+a)^(1/2)/a/b/x+1/2*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(3/2)))","A"
342,1,90,70,0.008000," ","int(1/x^4/(b*x+a)^(1/2),x)","2 \left(-\frac{5 \left(-\frac{3 \left(\frac{\arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{2 a^{\frac{3}{2}}}-\frac{\sqrt{b x +a}}{2 a b x}\right)}{4 a}-\frac{\sqrt{b x +a}}{4 a \,b^{2} x^{2}}\right)}{6 a}-\frac{\sqrt{b x +a}}{6 a \,b^{3} x^{3}}\right) b^{3}"," ",0,"2*b^3*(-1/6*(b*x+a)^(1/2)/a/x^3/b^3-5/6/a*(-1/4*(b*x+a)^(1/2)/a/b^2/x^2-3/4/a*(-1/2*(b*x+a)^(1/2)/a/b/x+1/2*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(3/2))))","A"
343,1,54,71,0.006000," ","int(x^4/(b*x+a)^(3/2),x)","-\frac{2 \left(-5 x^{4} b^{4}+8 a \,x^{3} b^{3}-16 a^{2} x^{2} b^{2}+64 a^{3} x b +128 a^{4}\right)}{35 \sqrt{b x +a}\, b^{5}}"," ",0,"-2/35/(b*x+a)^(1/2)*(-5*b^4*x^4+8*a*b^3*x^3-16*a^2*b^2*x^2+64*a^3*b*x+128*a^4)/b^5","A"
344,1,42,56,0.006000," ","int(x^3/(b*x+a)^(3/2),x)","\frac{\frac{2}{5} b^{3} x^{3}-\frac{4}{5} a \,b^{2} x^{2}+\frac{16}{5} a^{2} b x +\frac{32}{5} a^{3}}{b^{4} \sqrt{b x +a}}"," ",0,"2/5/(b*x+a)^(1/2)*(b^3*x^3-2*a*b^2*x^2+8*a^2*b*x+16*a^3)/b^4","A"
345,1,32,41,0.006000," ","int(x^2/(b*x+a)^(3/2),x)","-\frac{2 \left(-b^{2} x^{2}+4 a b x +8 a^{2}\right)}{3 \sqrt{b x +a}\, b^{3}}"," ",0,"-2/3/(b*x+a)^(1/2)*(-b^2*x^2+4*a*b*x+8*a^2)/b^3","A"
346,1,20,26,0.003000," ","int(x/(b*x+a)^(3/2),x)","\frac{2 b x +4 a}{b^{2} \sqrt{b x +a}}"," ",0,"2/(b*x+a)^(1/2)*(b*x+2*a)/b^2","A"
347,1,13,12,0.002000," ","int(1/(b*x+a)^(3/2),x)","-\frac{2}{\sqrt{b x +a}\, b}"," ",0,"-2/b/(b*x+a)^(1/2)","A"
348,1,31,30,0.009000," ","int(1/x/(b*x+a)^(3/2),x)","-\frac{2 \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{a^{\frac{3}{2}}}+\frac{2}{\sqrt{b x +a}\, a}"," ",0,"-2*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(3/2)+2/a/(b*x+a)^(1/2)","A"
349,1,55,47,0.011000," ","int(1/x^2/(b*x+a)^(3/2),x)","2 \left(-\frac{1}{\sqrt{b x +a}\, a^{2}}-\frac{-\frac{3 \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{2 \sqrt{a}}+\frac{\sqrt{b x +a}}{2 b x}}{a^{2}}\right) b"," ",0,"2*b*(-1/a^2/(b*x+a)^(1/2)-1/a^2*(1/2*(b*x+a)^(1/2)/b/x-3/2*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(1/2)))","A"
350,1,67,67,0.013000," ","int(1/x^3/(b*x+a)^(3/2),x)","2 \left(\frac{1}{\sqrt{b x +a}\, a^{3}}+\frac{-\frac{15 \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{8 \sqrt{a}}+\frac{-\frac{9 \sqrt{b x +a}\, a}{8}+\frac{7 \left(b x +a \right)^{\frac{3}{2}}}{8}}{b^{2} x^{2}}}{a^{3}}\right) b^{2}"," ",0,"2*b^2*(1/a^3/(b*x+a)^(1/2)+1/a^3*((7/8*(b*x+a)^(3/2)-9/8*(b*x+a)^(1/2)*a)/x^2/b^2-15/8*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(1/2)))","A"
351,1,54,71,0.005000," ","int(x^4/(b*x+a)^(5/2),x)","\frac{\frac{2}{5} x^{4} b^{4}-\frac{16}{15} a \,x^{3} b^{3}+\frac{32}{5} a^{2} x^{2} b^{2}+\frac{128}{5} a^{3} x b +\frac{256}{15} a^{4}}{\left(b x +a \right)^{\frac{3}{2}} b^{5}}"," ",0,"2/15/(b*x+a)^(3/2)*(3*b^4*x^4-8*a*b^3*x^3+48*a^2*b^2*x^2+192*a^3*b*x+128*a^4)/b^5","A"
352,1,43,56,0.006000," ","int(x^3/(b*x+a)^(5/2),x)","-\frac{2 \left(-b^{3} x^{3}+6 a \,b^{2} x^{2}+24 a^{2} b x +16 a^{3}\right)}{3 \left(b x +a \right)^{\frac{3}{2}} b^{4}}"," ",0,"-2/3/(b*x+a)^(3/2)*(-b^3*x^3+6*a*b^2*x^2+24*a^2*b*x+16*a^3)/b^4","A"
353,1,32,41,0.004000," ","int(x^2/(b*x+a)^(5/2),x)","\frac{2 b^{2} x^{2}+8 a b x +\frac{16}{3} a^{2}}{b^{3} \left(b x +a \right)^{\frac{3}{2}}}"," ",0,"2/3/(b*x+a)^(3/2)*(3*b^2*x^2+12*a*b*x+8*a^2)/b^3","A"
354,1,21,26,0.003000," ","int(x/(b*x+a)^(5/2),x)","-\frac{2 \left(3 b x +2 a \right)}{3 \left(b x +a \right)^{\frac{3}{2}} b^{2}}"," ",0,"-2/3/(b*x+a)^(3/2)*(3*b*x+2*a)/b^2","A"
355,1,13,12,0.002000," ","int(1/(b*x+a)^(5/2),x)","-\frac{2}{3 \left(b x +a \right)^{\frac{3}{2}} b}"," ",0,"-2/3/b/(b*x+a)^(3/2)","A"
356,1,43,42,0.010000," ","int(1/x/(b*x+a)^(5/2),x)","\frac{2}{3 \left(b x +a \right)^{\frac{3}{2}} a}-\frac{2 \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{a^{\frac{5}{2}}}+\frac{2}{\sqrt{b x +a}\, a^{2}}"," ",0,"2/3/a/(b*x+a)^(3/2)-2*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(5/2)+2/(b*x+a)^(1/2)/a^2","A"
357,1,67,60,0.012000," ","int(1/x^2/(b*x+a)^(5/2),x)","2 \left(-\frac{1}{3 \left(b x +a \right)^{\frac{3}{2}} a^{2}}-\frac{2}{\sqrt{b x +a}\, a^{3}}-\frac{-\frac{5 \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{2 \sqrt{a}}+\frac{\sqrt{b x +a}}{2 b x}}{a^{3}}\right) b"," ",0,"2*b*(-1/3/a^2/(b*x+a)^(3/2)-2/(b*x+a)^(1/2)/a^3-1/a^3*(1/2*(b*x+a)^(1/2)/b/x-5/2*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(1/2)))","A"
358,1,80,82,0.015000," ","int(1/x^3/(b*x+a)^(5/2),x)","2 \left(\frac{1}{3 \left(b x +a \right)^{\frac{3}{2}} a^{3}}+\frac{3}{\sqrt{b x +a}\, a^{4}}+\frac{-\frac{35 \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{8 \sqrt{a}}+\frac{-\frac{13 \sqrt{b x +a}\, a}{8}+\frac{11 \left(b x +a \right)^{\frac{3}{2}}}{8}}{b^{2} x^{2}}}{a^{4}}\right) b^{2}"," ",0,"2*b^2*(3/a^4/(b*x+a)^(1/2)+1/3/a^3/(b*x+a)^(3/2)+1/a^4*((11/8*(b*x+a)^(3/2)-13/8*(b*x+a)^(1/2)*a)/x^2/b^2-35/8*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(1/2)))","A"
359,1,20,19,0.004000," ","int(1/x/(b*x-a)^(1/2),x)","\frac{2 \arctan \left(\frac{\sqrt{b x -a}}{\sqrt{a}}\right)}{\sqrt{a}}"," ",0,"2*arctan((b*x-a)^(1/2)/a^(1/2))/a^(1/2)","A"
360,1,37,36,0.007000," ","int(1/x^2/(b*x-a)^(1/2),x)","\frac{b \arctan \left(\frac{\sqrt{b x -a}}{\sqrt{a}}\right)}{a^{\frac{3}{2}}}+\frac{\sqrt{b x -a}}{a x}"," ",0,"b*arctan((b*x-a)^(1/2)/a^(1/2))/a^(3/2)+(b*x-a)^(1/2)/a/x","A"
361,1,59,58,0.007000," ","int(1/x^3/(b*x-a)^(1/2),x)","\frac{3 b^{2} \arctan \left(\frac{\sqrt{b x -a}}{\sqrt{a}}\right)}{4 a^{\frac{5}{2}}}+\frac{3 \sqrt{b x -a}\, b}{4 a^{2} x}+\frac{\sqrt{b x -a}}{2 a \,x^{2}}"," ",0,"3/4*b^2*arctan((b*x-a)^(1/2)/a^(1/2))/a^(5/2)+1/2*(b*x-a)^(1/2)/a/x^2+3/4*b*(b*x-a)^(1/2)/a^2/x","A"
362,1,35,34,0.008000," ","int(1/x/(b*x-a)^(3/2),x)","-\frac{2 \arctan \left(\frac{\sqrt{b x -a}}{\sqrt{a}}\right)}{a^{\frac{3}{2}}}-\frac{2}{\sqrt{b x -a}\, a}"," ",0,"-2*arctan((b*x-a)^(1/2)/a^(1/2))/a^(3/2)-2/a/(b*x-a)^(1/2)","A"
363,1,54,52,0.014000," ","int(1/x^2/(b*x-a)^(3/2),x)","-\frac{3 b \arctan \left(\frac{\sqrt{b x -a}}{\sqrt{a}}\right)}{a^{\frac{5}{2}}}-\frac{2 b}{\sqrt{b x -a}\, a^{2}}-\frac{\sqrt{b x -a}}{a^{2} x}"," ",0,"-2*b/a^2/(b*x-a)^(1/2)-1/a^2*(b*x-a)^(1/2)/x-3*b*arctan((b*x-a)^(1/2)/a^(1/2))/a^(5/2)","A"
364,1,75,75,0.014000," ","int(1/x^3/(b*x-a)^(3/2),x)","-\frac{15 b^{2} \arctan \left(\frac{\sqrt{b x -a}}{\sqrt{a}}\right)}{4 a^{\frac{7}{2}}}-\frac{2 b^{2}}{\sqrt{b x -a}\, a^{3}}-\frac{9 \sqrt{b x -a}}{4 a^{2} x^{2}}-\frac{7 \left(b x -a \right)^{\frac{3}{2}}}{4 a^{3} x^{2}}"," ",0,"-2*b^2/a^3/(b*x-a)^(1/2)-7/4/a^3/x^2*(b*x-a)^(3/2)-9/4/a^2/x^2*(b*x-a)^(1/2)-15/4*b^2*arctan((b*x-a)^(1/2)/a^(1/2))/a^(7/2)","A"
365,1,49,48,0.010000," ","int(1/x/(b*x-a)^(5/2),x)","-\frac{2}{3 \left(b x -a \right)^{\frac{3}{2}} a}+\frac{2 \arctan \left(\frac{\sqrt{b x -a}}{\sqrt{a}}\right)}{a^{\frac{5}{2}}}+\frac{2}{\sqrt{b x -a}\, a^{2}}"," ",0,"-2/3/a/(b*x-a)^(3/2)+2*arctan((b*x-a)^(1/2)/a^(1/2))/a^(5/2)+2/a^2/(b*x-a)^(1/2)","A"
366,1,68,67,0.013000," ","int(1/x^2/(b*x-a)^(5/2),x)","-\frac{2 b}{3 \left(b x -a \right)^{\frac{3}{2}} a^{2}}+\frac{5 b \arctan \left(\frac{\sqrt{b x -a}}{\sqrt{a}}\right)}{a^{\frac{7}{2}}}+\frac{4 b}{\sqrt{b x -a}\, a^{3}}+\frac{\sqrt{b x -a}}{a^{3} x}"," ",0,"-2/3*b/a^2/(b*x-a)^(3/2)+4*b/a^3/(b*x-a)^(1/2)+1/a^3*(b*x-a)^(1/2)/x+5*b*arctan((b*x-a)^(1/2)/a^(1/2))/a^(7/2)","A"
367,1,92,92,0.015000," ","int(1/x^3/(b*x-a)^(5/2),x)","-\frac{2 b^{2}}{3 \left(b x -a \right)^{\frac{3}{2}} a^{3}}+\frac{35 b^{2} \arctan \left(\frac{\sqrt{b x -a}}{\sqrt{a}}\right)}{4 a^{\frac{9}{2}}}+\frac{6 b^{2}}{\sqrt{b x -a}\, a^{4}}+\frac{13 \sqrt{b x -a}}{4 a^{3} x^{2}}+\frac{11 \left(b x -a \right)^{\frac{3}{2}}}{4 a^{4} x^{2}}"," ",0,"-2/3*b^2/a^3/(b*x-a)^(3/2)+6*b^2/a^4/(b*x-a)^(1/2)+11/4/a^4/x^2*(b*x-a)^(3/2)+13/4/a^3/x^2*(b*x-a)^(1/2)+35/4*b^2*arctan((b*x-a)^(1/2)/a^(1/2))/a^(9/2)","A"
368,1,12,11,0.006000," ","int(1/2*x^(-1+m)*(2*a*m+b*(-1+2*m)*x)/(b*x+a)^(3/2),x)","\frac{x^{m}}{\sqrt{b x +a}}"," ",0,"x^m/(b*x+a)^(1/2)","A"
369,0,0,11,0.085000," ","int(-1/2*b*x^m/(b*x+a)^(3/2)+m*x^(-1+m)/(b*x+a)^(1/2),x)","\int -\frac{b \,x^{m}}{2 \left(b x +a \right)^{\frac{3}{2}}}+\frac{m \,x^{m -1}}{\sqrt{b x +a}}\, dx"," ",0,"int(-1/2*b*x^m/(b*x+a)^(3/2)+m*x^(-1+m)/(b*x+a)^(1/2),x)","F"
370,1,18,17,0.000000," ","int(1/x/(b*x+a)^(1/2),x)","-\frac{2 \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{\sqrt{a}}"," ",0,"-2*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(1/2)","A"
371,1,43,56,0.005000," ","int(x^3*(b*x+a)^(1/3),x)","-\frac{3 \left(b x +a \right)^{\frac{4}{3}} \left(-140 b^{3} x^{3}+126 a \,b^{2} x^{2}-108 a^{2} b x +81 a^{3}\right)}{1820 b^{4}}"," ",0,"-3/1820*(b*x+a)^(4/3)*(-140*b^3*x^3+126*a*b^2*x^2-108*a^2*b*x+81*a^3)/b^4","A"
372,1,32,41,0.006000," ","int(x^2*(b*x+a)^(1/3),x)","\frac{3 \left(b x +a \right)^{\frac{4}{3}} \left(14 b^{2} x^{2}-12 a b x +9 a^{2}\right)}{140 b^{3}}"," ",0,"3/140*(b*x+a)^(4/3)*(14*b^2*x^2-12*a*b*x+9*a^2)/b^3","A"
373,1,21,26,0.003000," ","int(x*(b*x+a)^(1/3),x)","-\frac{3 \left(b x +a \right)^{\frac{4}{3}} \left(-4 b x +3 a \right)}{28 b^{2}}"," ",0,"-3/28*(b*x+a)^(4/3)*(-4*b*x+3*a)/b^2","A"
374,1,13,12,0.003000," ","int((b*x+a)^(1/3),x)","\frac{3 \left(b x +a \right)^{\frac{4}{3}}}{4 b}"," ",0,"3/4*(b*x+a)^(4/3)/b","A"
375,1,85,66,0.007000," ","int((b*x+a)^(1/3)/x,x)","-\sqrt{3}\, a^{\frac{1}{3}} \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b x +a \right)^{\frac{1}{3}}}{a^{\frac{1}{3}}}+1\right)}{3}\right)+a^{\frac{1}{3}} \ln \left(-a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{1}{3}}\right)-\frac{a^{\frac{1}{3}} \ln \left(a^{\frac{2}{3}}+\left(b x +a \right)^{\frac{1}{3}} a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{2}{3}}\right)}{2}+3 \left(b x +a \right)^{\frac{1}{3}}"," ",0,"3*(b*x+a)^(1/3)+a^(1/3)*ln((b*x+a)^(1/3)-a^(1/3))-1/2*a^(1/3)*ln((b*x+a)^(2/3)+a^(1/3)*(b*x+a)^(1/3)+a^(2/3))-a^(1/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/a^(1/3)*(b*x+a)^(1/3)+1))","A"
376,1,92,72,0.008000," ","int((b*x+a)^(1/3)/x^2,x)","-\frac{\sqrt{3}\, b \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b x +a \right)^{\frac{1}{3}}}{a^{\frac{1}{3}}}+1\right)}{3}\right)}{3 a^{\frac{2}{3}}}+\frac{b \ln \left(-a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{1}{3}}\right)}{3 a^{\frac{2}{3}}}-\frac{b \ln \left(a^{\frac{2}{3}}+\left(b x +a \right)^{\frac{1}{3}} a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{2}{3}}\right)}{6 a^{\frac{2}{3}}}-\frac{\left(b x +a \right)^{\frac{1}{3}}}{x}"," ",0,"-(b*x+a)^(1/3)/x+1/3*b/a^(2/3)*ln(-a^(1/3)+(b*x+a)^(1/3))-1/6*b/a^(2/3)*ln(a^(2/3)+(b*x+a)^(1/3)*a^(1/3)+(b*x+a)^(2/3))-1/3*b/a^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2*(b*x+a)^(1/3)/a^(1/3)+1))","A"
377,1,113,94,0.011000," ","int((b*x+a)^(1/3)/x^3,x)","\frac{\sqrt{3}\, b^{2} \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b x +a \right)^{\frac{1}{3}}}{a^{\frac{1}{3}}}+1\right)}{3}\right)}{9 a^{\frac{5}{3}}}-\frac{b^{2} \ln \left(-a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{1}{3}}\right)}{9 a^{\frac{5}{3}}}+\frac{b^{2} \ln \left(a^{\frac{2}{3}}+\left(b x +a \right)^{\frac{1}{3}} a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{2}{3}}\right)}{18 a^{\frac{5}{3}}}-\frac{\left(b x +a \right)^{\frac{1}{3}}}{3 x^{2}}-\frac{\left(b x +a \right)^{\frac{4}{3}}}{6 a \,x^{2}}"," ",0,"-1/6/x^2/a*(b*x+a)^(4/3)-1/3*(b*x+a)^(1/3)/x^2-1/9*b^2/a^(5/3)*ln(-a^(1/3)+(b*x+a)^(1/3))+1/18*b^2/a^(5/3)*ln(a^(2/3)+(b*x+a)^(1/3)*a^(1/3)+(b*x+a)^(2/3))+1/9*b^2/a^(5/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2*(b*x+a)^(1/3)/a^(1/3)+1))","A"
378,1,43,56,0.004000," ","int(x^3*(b*x+a)^(2/3),x)","-\frac{3 \left(b x +a \right)^{\frac{5}{3}} \left(-220 b^{3} x^{3}+180 a \,b^{2} x^{2}-135 a^{2} b x +81 a^{3}\right)}{3080 b^{4}}"," ",0,"-3/3080*(b*x+a)^(5/3)*(-220*b^3*x^3+180*a*b^2*x^2-135*a^2*b*x+81*a^3)/b^4","A"
379,1,32,41,0.006000," ","int(x^2*(b*x+a)^(2/3),x)","\frac{3 \left(b x +a \right)^{\frac{5}{3}} \left(20 b^{2} x^{2}-15 a b x +9 a^{2}\right)}{220 b^{3}}"," ",0,"3/220*(b*x+a)^(5/3)*(20*b^2*x^2-15*a*b*x+9*a^2)/b^3","A"
380,1,21,26,0.003000," ","int(x*(b*x+a)^(2/3),x)","-\frac{3 \left(b x +a \right)^{\frac{5}{3}} \left(-5 b x +3 a \right)}{40 b^{2}}"," ",0,"-3/40*(b*x+a)^(5/3)*(-5*b*x+3*a)/b^2","A"
381,1,13,12,0.003000," ","int((b*x+a)^(2/3),x)","\frac{3 \left(b x +a \right)^{\frac{5}{3}}}{5 b}"," ",0,"3/5*(b*x+a)^(5/3)/b","A"
382,1,84,65,0.003000," ","int((b*x+a)^(2/3)/x,x)","\sqrt{3}\, a^{\frac{2}{3}} \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b x +a \right)^{\frac{1}{3}}}{a^{\frac{1}{3}}}+1\right)}{3}\right)+a^{\frac{2}{3}} \ln \left(-a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{1}{3}}\right)-\frac{a^{\frac{2}{3}} \ln \left(a^{\frac{2}{3}}+\left(b x +a \right)^{\frac{1}{3}} a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{2}{3}}\right)}{2}+\frac{3 \left(b x +a \right)^{\frac{2}{3}}}{2}"," ",0,"3/2*(b*x+a)^(2/3)+a^(2/3)*ln(-a^(1/3)+(b*x+a)^(1/3))-1/2*a^(2/3)*ln(a^(2/3)+(b*x+a)^(1/3)*a^(1/3)+(b*x+a)^(2/3))+a^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2*(b*x+a)^(1/3)/a^(1/3)+1))","A"
383,1,92,71,0.011000," ","int((b*x+a)^(2/3)/x^2,x)","\frac{2 \sqrt{3}\, b \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b x +a \right)^{\frac{1}{3}}}{a^{\frac{1}{3}}}+1\right)}{3}\right)}{3 a^{\frac{1}{3}}}+\frac{2 b \ln \left(-a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{1}{3}}\right)}{3 a^{\frac{1}{3}}}-\frac{b \ln \left(a^{\frac{2}{3}}+\left(b x +a \right)^{\frac{1}{3}} a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{2}{3}}\right)}{3 a^{\frac{1}{3}}}-\frac{\left(b x +a \right)^{\frac{2}{3}}}{x}"," ",0,"-(b*x+a)^(2/3)/x+2/3*b/a^(1/3)*ln(-a^(1/3)+(b*x+a)^(1/3))-1/3*b/a^(1/3)*ln(a^(2/3)+(b*x+a)^(1/3)*a^(1/3)+(b*x+a)^(2/3))+2/3*b*3^(1/2)/a^(1/3)*arctan(1/3*3^(1/2)*(2*(b*x+a)^(1/3)/a^(1/3)+1))","A"
384,1,113,94,0.011000," ","int((b*x+a)^(2/3)/x^3,x)","-\frac{\sqrt{3}\, b^{2} \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b x +a \right)^{\frac{1}{3}}}{a^{\frac{1}{3}}}+1\right)}{3}\right)}{9 a^{\frac{4}{3}}}-\frac{b^{2} \ln \left(-a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{1}{3}}\right)}{9 a^{\frac{4}{3}}}+\frac{b^{2} \ln \left(a^{\frac{2}{3}}+\left(b x +a \right)^{\frac{1}{3}} a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{2}{3}}\right)}{18 a^{\frac{4}{3}}}-\frac{\left(b x +a \right)^{\frac{2}{3}}}{6 x^{2}}-\frac{\left(b x +a \right)^{\frac{5}{3}}}{3 a \,x^{2}}"," ",0,"-1/3/x^2/a*(b*x+a)^(5/3)-1/6*(b*x+a)^(2/3)/x^2-1/9*b^2/a^(4/3)*ln(-a^(1/3)+(b*x+a)^(1/3))+1/18*b^2/a^(4/3)*ln(a^(2/3)+(b*x+a)^(1/3)*a^(1/3)+(b*x+a)^(2/3))-1/9*b^2/a^(4/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2*(b*x+a)^(1/3)/a^(1/3)+1))","A"
385,1,43,56,0.006000," ","int(x^3*(b*x+a)^(4/3),x)","-\frac{3 \left(b x +a \right)^{\frac{7}{3}} \left(-455 b^{3} x^{3}+315 a \,b^{2} x^{2}-189 a^{2} b x +81 a^{3}\right)}{7280 b^{4}}"," ",0,"-3/7280*(b*x+a)^(7/3)*(-455*b^3*x^3+315*a*b^2*x^2-189*a^2*b*x+81*a^3)/b^4","A"
386,1,32,41,0.004000," ","int(x^2*(b*x+a)^(4/3),x)","\frac{3 \left(b x +a \right)^{\frac{7}{3}} \left(35 b^{2} x^{2}-21 a b x +9 a^{2}\right)}{455 b^{3}}"," ",0,"3/455*(b*x+a)^(7/3)*(35*b^2*x^2-21*a*b*x+9*a^2)/b^3","A"
387,1,21,26,0.003000," ","int(x*(b*x+a)^(4/3),x)","-\frac{3 \left(b x +a \right)^{\frac{7}{3}} \left(-7 b x +3 a \right)}{70 b^{2}}"," ",0,"-3/70*(b*x+a)^(7/3)*(-7*b*x+3*a)/b^2","A"
388,1,13,12,0.002000," ","int((b*x+a)^(4/3),x)","\frac{3 \left(b x +a \right)^{\frac{7}{3}}}{7 b}"," ",0,"3/7*(b*x+a)^(7/3)/b","A"
389,1,95,76,0.006000," ","int((b*x+a)^(4/3)/x,x)","-\sqrt{3}\, a^{\frac{4}{3}} \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b x +a \right)^{\frac{1}{3}}}{a^{\frac{1}{3}}}+1\right)}{3}\right)+a^{\frac{4}{3}} \ln \left(-a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{1}{3}}\right)-\frac{a^{\frac{4}{3}} \ln \left(a^{\frac{2}{3}}+\left(b x +a \right)^{\frac{1}{3}} a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{2}{3}}\right)}{2}+3 \left(b x +a \right)^{\frac{1}{3}} a +\frac{3 \left(b x +a \right)^{\frac{4}{3}}}{4}"," ",0,"3/4*(b*x+a)^(4/3)+3*a*(b*x+a)^(1/3)+a^(4/3)*ln(-a^(1/3)+(b*x+a)^(1/3))-1/2*a^(4/3)*ln(a^(2/3)+(b*x+a)^(1/3)*a^(1/3)+(b*x+a)^(2/3))-a^(4/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2*(b*x+a)^(1/3)/a^(1/3)+1))","A"
390,1,103,82,0.011000," ","int((b*x+a)^(4/3)/x^2,x)","-\frac{4 \sqrt{3}\, a^{\frac{1}{3}} b \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b x +a \right)^{\frac{1}{3}}}{a^{\frac{1}{3}}}+1\right)}{3}\right)}{3}+\frac{4 a^{\frac{1}{3}} b \ln \left(-a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{1}{3}}\right)}{3}-\frac{2 a^{\frac{1}{3}} b \ln \left(a^{\frac{2}{3}}+\left(b x +a \right)^{\frac{1}{3}} a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{2}{3}}\right)}{3}+3 \left(b x +a \right)^{\frac{1}{3}} b -\frac{\left(b x +a \right)^{\frac{1}{3}} a}{x}"," ",0,"3*b*(b*x+a)^(1/3)-a*(b*x+a)^(1/3)/x+4/3*b*a^(1/3)*ln(-a^(1/3)+(b*x+a)^(1/3))-2/3*b*a^(1/3)*ln(a^(2/3)+(b*x+a)^(1/3)*a^(1/3)+(b*x+a)^(2/3))-4/3*b*a^(1/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2*(b*x+a)^(1/3)/a^(1/3)+1))","A"
391,1,111,91,0.012000," ","int((b*x+a)^(4/3)/x^3,x)","-\frac{2 \sqrt{3}\, b^{2} \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b x +a \right)^{\frac{1}{3}}}{a^{\frac{1}{3}}}+1\right)}{3}\right)}{9 a^{\frac{2}{3}}}+\frac{2 b^{2} \ln \left(-a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{1}{3}}\right)}{9 a^{\frac{2}{3}}}-\frac{b^{2} \ln \left(a^{\frac{2}{3}}+\left(b x +a \right)^{\frac{1}{3}} a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{2}{3}}\right)}{9 a^{\frac{2}{3}}}+\frac{2 \left(b x +a \right)^{\frac{1}{3}} a}{3 x^{2}}-\frac{7 \left(b x +a \right)^{\frac{4}{3}}}{6 x^{2}}"," ",0,"-7/6*(b*x+a)^(4/3)/x^2+2/3/x^2*(b*x+a)^(1/3)*a+2/9*b^2/a^(2/3)*ln(-a^(1/3)+(b*x+a)^(1/3))-1/9*b^2/a^(2/3)*ln(a^(2/3)+(b*x+a)^(1/3)*a^(1/3)+(b*x+a)^(2/3))-2/9*b^2/a^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2*(b*x+a)^(1/3)/a^(1/3)+1))","A"
392,1,43,56,0.005000," ","int(x^3/(b*x+a)^(1/3),x)","-\frac{3 \left(b x +a \right)^{\frac{2}{3}} \left(-40 b^{3} x^{3}+45 a \,b^{2} x^{2}-54 a^{2} b x +81 a^{3}\right)}{440 b^{4}}"," ",0,"-3/440*(b*x+a)^(2/3)*(-40*b^3*x^3+45*a*b^2*x^2-54*a^2*b*x+81*a^3)/b^4","A"
393,1,32,41,0.005000," ","int(x^2/(b*x+a)^(1/3),x)","\frac{3 \left(b x +a \right)^{\frac{2}{3}} \left(5 b^{2} x^{2}-6 a b x +9 a^{2}\right)}{40 b^{3}}"," ",0,"3/40*(b*x+a)^(2/3)*(5*b^2*x^2-6*a*b*x+9*a^2)/b^3","A"
394,1,21,26,0.003000," ","int(x/(b*x+a)^(1/3),x)","-\frac{3 \left(b x +a \right)^{\frac{2}{3}} \left(-2 b x +3 a \right)}{10 b^{2}}"," ",0,"-3/10*(b*x+a)^(2/3)*(-2*b*x+3*a)/b^2","A"
395,1,13,12,0.002000," ","int(1/(b*x+a)^(1/3),x)","\frac{3 \left(b x +a \right)^{\frac{2}{3}}}{2 b}"," ",0,"3/2*(b*x+a)^(2/3)/b","A"
396,1,75,56,0.004000," ","int(1/x/(b*x+a)^(1/3),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b x +a \right)^{\frac{1}{3}}}{a^{\frac{1}{3}}}+1\right)}{3}\right)}{a^{\frac{1}{3}}}+\frac{\ln \left(-a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{1}{3}}\right)}{a^{\frac{1}{3}}}-\frac{\ln \left(a^{\frac{2}{3}}+\left(b x +a \right)^{\frac{1}{3}} a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{2}{3}}\right)}{2 a^{\frac{1}{3}}}"," ",0,"1/a^(1/3)*ln(-a^(1/3)+(b*x+a)^(1/3))-1/2/a^(1/3)*ln(a^(2/3)+(b*x+a)^(1/3)*a^(1/3)+(b*x+a)^(2/3))+3^(1/2)/a^(1/3)*arctan(1/3*3^(1/2)*(2*(b*x+a)^(1/3)/a^(1/3)+1))","A"
397,1,95,75,0.006000," ","int(1/x^2/(b*x+a)^(1/3),x)","-\frac{\sqrt{3}\, b \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b x +a \right)^{\frac{1}{3}}}{a^{\frac{1}{3}}}+1\right)}{3}\right)}{3 a^{\frac{4}{3}}}-\frac{b \ln \left(-a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{1}{3}}\right)}{3 a^{\frac{4}{3}}}+\frac{b \ln \left(a^{\frac{2}{3}}+\left(b x +a \right)^{\frac{1}{3}} a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{2}{3}}\right)}{6 a^{\frac{4}{3}}}-\frac{\left(b x +a \right)^{\frac{2}{3}}}{a x}"," ",0,"-(b*x+a)^(2/3)/a/x-1/3*b/a^(4/3)*ln(-a^(1/3)+(b*x+a)^(1/3))+1/6*b/a^(4/3)*ln(a^(2/3)+(b*x+a)^(1/3)*a^(1/3)+(b*x+a)^(2/3))-1/3*b/a^(4/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2*(b*x+a)^(1/3)/a^(1/3)+1))","A"
398,1,117,97,0.006000," ","int(1/x^3/(b*x+a)^(1/3),x)","\frac{2 \sqrt{3}\, b^{2} \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b x +a \right)^{\frac{1}{3}}}{a^{\frac{1}{3}}}+1\right)}{3}\right)}{9 a^{\frac{7}{3}}}+\frac{2 b^{2} \ln \left(-a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{1}{3}}\right)}{9 a^{\frac{7}{3}}}-\frac{b^{2} \ln \left(a^{\frac{2}{3}}+\left(b x +a \right)^{\frac{1}{3}} a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{2}{3}}\right)}{9 a^{\frac{7}{3}}}+\frac{2 \left(b x +a \right)^{\frac{2}{3}} b}{3 a^{2} x}-\frac{\left(b x +a \right)^{\frac{2}{3}}}{2 a \,x^{2}}"," ",0,"-1/2*(b*x+a)^(2/3)/a/x^2+2/3*b*(b*x+a)^(2/3)/a^2/x+2/9*b^2/a^(7/3)*ln(-a^(1/3)+(b*x+a)^(1/3))-1/9*b^2/a^(7/3)*ln(a^(2/3)+(b*x+a)^(1/3)*a^(1/3)+(b*x+a)^(2/3))+2/9*b^2/a^(7/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2*(b*x+a)^(1/3)/a^(1/3)+1))","A"
399,1,45,64,0.004000," ","int(x^3/(b*x-a)^(1/3),x)","\frac{3 \left(40 b^{3} x^{3}+45 a \,b^{2} x^{2}+54 a^{2} b x +81 a^{3}\right) \left(b x -a \right)^{\frac{2}{3}}}{440 b^{4}}"," ",0,"3/440*(40*b^3*x^3+45*a*b^2*x^2+54*a^2*b*x+81*a^3)/b^4*(b*x-a)^(2/3)","A"
400,1,34,47,0.005000," ","int(x^2/(b*x-a)^(1/3),x)","\frac{3 \left(5 b^{2} x^{2}+6 a b x +9 a^{2}\right) \left(b x -a \right)^{\frac{2}{3}}}{40 b^{3}}"," ",0,"3/40*(5*b^2*x^2+6*a*b*x+9*a^2)/b^3*(b*x-a)^(2/3)","A"
401,1,23,30,0.003000," ","int(x/(b*x-a)^(1/3),x)","\frac{3 \left(2 b x +3 a \right) \left(b x -a \right)^{\frac{2}{3}}}{10 b^{2}}"," ",0,"3/10*(2*b*x+3*a)/b^2*(b*x-a)^(2/3)","A"
402,1,15,14,0.002000," ","int(1/(b*x-a)^(1/3),x)","\frac{3 \left(b x -a \right)^{\frac{2}{3}}}{2 b}"," ",0,"3/2*(b*x-a)^(2/3)/b","A"
403,1,83,59,0.007000," ","int(1/x/(b*x-a)^(1/3),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b x -a \right)^{\frac{1}{3}}}{a^{\frac{1}{3}}}-1\right)}{3}\right)}{a^{\frac{1}{3}}}-\frac{\ln \left(a^{\frac{1}{3}}+\left(b x -a \right)^{\frac{1}{3}}\right)}{a^{\frac{1}{3}}}+\frac{\ln \left(a^{\frac{2}{3}}-\left(b x -a \right)^{\frac{1}{3}} a^{\frac{1}{3}}+\left(b x -a \right)^{\frac{2}{3}}\right)}{2 a^{\frac{1}{3}}}"," ",0,"-ln(a^(1/3)+(b*x-a)^(1/3))/a^(1/3)+1/2/a^(1/3)*ln((b*x-a)^(2/3)-a^(1/3)*(b*x-a)^(1/3)+a^(2/3))+3^(1/2)/a^(1/3)*arctan(1/3*3^(1/2)*(2/a^(1/3)*(b*x-a)^(1/3)-1))","A"
404,1,103,78,0.007000," ","int(1/x^2/(b*x-a)^(1/3),x)","\frac{\sqrt{3}\, b \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b x -a \right)^{\frac{1}{3}}}{a^{\frac{1}{3}}}-1\right)}{3}\right)}{3 a^{\frac{4}{3}}}-\frac{b \ln \left(a^{\frac{1}{3}}+\left(b x -a \right)^{\frac{1}{3}}\right)}{3 a^{\frac{4}{3}}}+\frac{b \ln \left(a^{\frac{2}{3}}-\left(b x -a \right)^{\frac{1}{3}} a^{\frac{1}{3}}+\left(b x -a \right)^{\frac{2}{3}}\right)}{6 a^{\frac{4}{3}}}+\frac{\left(b x -a \right)^{\frac{2}{3}}}{a x}"," ",0,"(b*x-a)^(2/3)/a/x-1/3*b*ln(a^(1/3)+(b*x-a)^(1/3))/a^(4/3)+1/6*b/a^(4/3)*ln(a^(2/3)-(b*x-a)^(1/3)*a^(1/3)+(b*x-a)^(2/3))+1/3*b/a^(4/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2*(b*x-a)^(1/3)/a^(1/3)-1))","A"
405,1,128,103,0.008000," ","int(1/x^3/(b*x-a)^(1/3),x)","\frac{2 \sqrt{3}\, b^{2} \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b x -a \right)^{\frac{1}{3}}}{a^{\frac{1}{3}}}-1\right)}{3}\right)}{9 a^{\frac{7}{3}}}-\frac{2 b^{2} \ln \left(a^{\frac{1}{3}}+\left(b x -a \right)^{\frac{1}{3}}\right)}{9 a^{\frac{7}{3}}}+\frac{b^{2} \ln \left(a^{\frac{2}{3}}-\left(b x -a \right)^{\frac{1}{3}} a^{\frac{1}{3}}+\left(b x -a \right)^{\frac{2}{3}}\right)}{9 a^{\frac{7}{3}}}+\frac{2 \left(b x -a \right)^{\frac{2}{3}} b}{3 a^{2} x}+\frac{\left(b x -a \right)^{\frac{2}{3}}}{2 a \,x^{2}}"," ",0,"1/2*(b*x-a)^(2/3)/a/x^2+2/3*b*(b*x-a)^(2/3)/a^2/x-2/9*b^2*ln(a^(1/3)+(b*x-a)^(1/3))/a^(7/3)+1/9*b^2/a^(7/3)*ln(a^(2/3)-(b*x-a)^(1/3)*a^(1/3)+(b*x-a)^(2/3))+2/9*b^2/a^(7/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2*(b*x-a)^(1/3)/a^(1/3)-1))","A"
406,1,43,56,0.006000," ","int(x^3/(b*x+a)^(2/3),x)","-\frac{3 \left(b x +a \right)^{\frac{1}{3}} \left(-14 b^{3} x^{3}+18 a \,b^{2} x^{2}-27 a^{2} b x +81 a^{3}\right)}{140 b^{4}}"," ",0,"-3/140*(b*x+a)^(1/3)*(-14*b^3*x^3+18*a*b^2*x^2-27*a^2*b*x+81*a^3)/b^4","A"
407,1,32,41,0.004000," ","int(x^2/(b*x+a)^(2/3),x)","\frac{3 \left(b x +a \right)^{\frac{1}{3}} \left(2 b^{2} x^{2}-3 a b x +9 a^{2}\right)}{14 b^{3}}"," ",0,"3/14*(b*x+a)^(1/3)*(2*b^2*x^2-3*a*b*x+9*a^2)/b^3","A"
408,1,21,26,0.003000," ","int(x/(b*x+a)^(2/3),x)","-\frac{3 \left(b x +a \right)^{\frac{1}{3}} \left(-b x +3 a \right)}{4 b^{2}}"," ",0,"-3/4*(b*x+a)^(1/3)*(-b*x+3*a)/b^2","A"
409,1,13,12,0.003000," ","int(1/(b*x+a)^(2/3),x)","\frac{3 \left(b x +a \right)^{\frac{1}{3}}}{b}"," ",0,"3*(b*x+a)^(1/3)/b","A"
410,1,76,57,0.005000," ","int(1/x/(b*x+a)^(2/3),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b x +a \right)^{\frac{1}{3}}}{a^{\frac{1}{3}}}+1\right)}{3}\right)}{a^{\frac{2}{3}}}+\frac{\ln \left(-a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{1}{3}}\right)}{a^{\frac{2}{3}}}-\frac{\ln \left(a^{\frac{2}{3}}+\left(b x +a \right)^{\frac{1}{3}} a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{2}{3}}\right)}{2 a^{\frac{2}{3}}}"," ",0,"1/a^(2/3)*ln(-a^(1/3)+(b*x+a)^(1/3))-1/2/a^(2/3)*ln(a^(2/3)+(b*x+a)^(1/3)*a^(1/3)+(b*x+a)^(2/3))-1/a^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2*(b*x+a)^(1/3)/a^(1/3)+1))","A"
411,1,95,75,0.007000," ","int(1/x^2/(b*x+a)^(2/3),x)","\frac{2 \sqrt{3}\, b \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b x +a \right)^{\frac{1}{3}}}{a^{\frac{1}{3}}}+1\right)}{3}\right)}{3 a^{\frac{5}{3}}}-\frac{2 b \ln \left(-a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{1}{3}}\right)}{3 a^{\frac{5}{3}}}+\frac{b \ln \left(a^{\frac{2}{3}}+\left(b x +a \right)^{\frac{1}{3}} a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{2}{3}}\right)}{3 a^{\frac{5}{3}}}-\frac{\left(b x +a \right)^{\frac{1}{3}}}{a x}"," ",0,"-(b*x+a)^(1/3)/a/x-2/3*b/a^(5/3)*ln(-a^(1/3)+(b*x+a)^(1/3))+1/3*b/a^(5/3)*ln(a^(2/3)+(b*x+a)^(1/3)*a^(1/3)+(b*x+a)^(2/3))+2/3*b/a^(5/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2*(b*x+a)^(1/3)/a^(1/3)+1))","A"
412,1,117,97,0.009000," ","int(1/x^3/(b*x+a)^(2/3),x)","-\frac{5 \sqrt{3}\, b^{2} \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b x +a \right)^{\frac{1}{3}}}{a^{\frac{1}{3}}}+1\right)}{3}\right)}{9 a^{\frac{8}{3}}}+\frac{5 b^{2} \ln \left(-a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{1}{3}}\right)}{9 a^{\frac{8}{3}}}-\frac{5 b^{2} \ln \left(a^{\frac{2}{3}}+\left(b x +a \right)^{\frac{1}{3}} a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{2}{3}}\right)}{18 a^{\frac{8}{3}}}+\frac{5 \left(b x +a \right)^{\frac{1}{3}} b}{6 a^{2} x}-\frac{\left(b x +a \right)^{\frac{1}{3}}}{2 a \,x^{2}}"," ",0,"-1/2*(b*x+a)^(1/3)/a/x^2+5/6*b*(b*x+a)^(1/3)/a^2/x+5/9*b^2/a^(8/3)*ln(-a^(1/3)+(b*x+a)^(1/3))-5/18*b^2/a^(8/3)*ln(a^(2/3)+(b*x+a)^(1/3)*a^(1/3)+(b*x+a)^(2/3))-5/9*b^2/a^(8/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2*(b*x+a)^(1/3)/a^(1/3)+1))","A"
413,1,43,56,0.004000," ","int(x^3/(b*x+a)^(4/3),x)","\frac{\frac{3}{8} b^{3} x^{3}-\frac{27}{40} a \,b^{2} x^{2}+\frac{81}{40} a^{2} b x +\frac{243}{40} a^{3}}{\left(b x +a \right)^{\frac{1}{3}} b^{4}}"," ",0,"3/40/(b*x+a)^(1/3)*(5*b^3*x^3-9*a*b^2*x^2+27*a^2*b*x+81*a^3)/b^4","A"
414,1,32,41,0.006000," ","int(x^2/(b*x+a)^(4/3),x)","-\frac{3 \left(-b^{2} x^{2}+3 a b x +9 a^{2}\right)}{5 \left(b x +a \right)^{\frac{1}{3}} b^{3}}"," ",0,"-3/5/(b*x+a)^(1/3)*(-b^2*x^2+3*a*b*x+9*a^2)/b^3","A"
415,1,20,26,0.003000," ","int(x/(b*x+a)^(4/3),x)","\frac{\frac{3 b x}{2}+\frac{9 a}{2}}{\left(b x +a \right)^{\frac{1}{3}} b^{2}}"," ",0,"3/2/(b*x+a)^(1/3)*(b*x+3*a)/b^2","A"
416,1,13,12,0.002000," ","int(1/(b*x+a)^(4/3),x)","-\frac{3}{\left(b x +a \right)^{\frac{1}{3}} b}"," ",0,"-3/b/(b*x+a)^(1/3)","A"
417,1,87,68,0.009000," ","int(1/x/(b*x+a)^(4/3),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b x +a \right)^{\frac{1}{3}}}{a^{\frac{1}{3}}}+1\right)}{3}\right)}{a^{\frac{4}{3}}}+\frac{\ln \left(-a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{1}{3}}\right)}{a^{\frac{4}{3}}}-\frac{\ln \left(a^{\frac{2}{3}}+\left(b x +a \right)^{\frac{1}{3}} a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{2}{3}}\right)}{2 a^{\frac{4}{3}}}+\frac{3}{\left(b x +a \right)^{\frac{1}{3}} a}"," ",0,"3/a/(b*x+a)^(1/3)+1/a^(4/3)*ln(-a^(1/3)+(b*x+a)^(1/3))-1/2/a^(4/3)*ln(a^(2/3)+(b*x+a)^(1/3)*a^(1/3)+(b*x+a)^(2/3))+1/a^(4/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2*(b*x+a)^(1/3)/a^(1/3)+1))","A"
418,1,108,88,0.013000," ","int(1/x^2/(b*x+a)^(4/3),x)","-\frac{4 \sqrt{3}\, b \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b x +a \right)^{\frac{1}{3}}}{a^{\frac{1}{3}}}+1\right)}{3}\right)}{3 a^{\frac{7}{3}}}-\frac{4 b \ln \left(-a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{1}{3}}\right)}{3 a^{\frac{7}{3}}}+\frac{2 b \ln \left(a^{\frac{2}{3}}+\left(b x +a \right)^{\frac{1}{3}} a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{2}{3}}\right)}{3 a^{\frac{7}{3}}}-\frac{3 b}{\left(b x +a \right)^{\frac{1}{3}} a^{2}}-\frac{\left(b x +a \right)^{\frac{2}{3}}}{a^{2} x}"," ",0,"-3*b/a^2/(b*x+a)^(1/3)-1/a^2*(b*x+a)^(2/3)/x-4/3*b/a^(7/3)*ln(-a^(1/3)+(b*x+a)^(1/3))+2/3*b/a^(7/3)*ln(a^(2/3)+(b*x+a)^(1/3)*a^(1/3)+(b*x+a)^(2/3))-4/3*b/a^(7/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2*(b*x+a)^(1/3)/a^(1/3)+1))","A"
419,1,131,112,0.014000," ","int(1/x^3/(b*x+a)^(4/3),x)","\frac{14 \sqrt{3}\, b^{2} \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b x +a \right)^{\frac{1}{3}}}{a^{\frac{1}{3}}}+1\right)}{3}\right)}{9 a^{\frac{10}{3}}}+\frac{14 b^{2} \ln \left(-a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{1}{3}}\right)}{9 a^{\frac{10}{3}}}-\frac{7 b^{2} \ln \left(a^{\frac{2}{3}}+\left(b x +a \right)^{\frac{1}{3}} a^{\frac{1}{3}}+\left(b x +a \right)^{\frac{2}{3}}\right)}{9 a^{\frac{10}{3}}}+\frac{3 b^{2}}{\left(b x +a \right)^{\frac{1}{3}} a^{3}}-\frac{13 \left(b x +a \right)^{\frac{2}{3}}}{6 a^{2} x^{2}}+\frac{5 \left(b x +a \right)^{\frac{5}{3}}}{3 a^{3} x^{2}}"," ",0,"3*b^2/a^3/(b*x+a)^(1/3)+5/3/a^3/x^2*(b*x+a)^(5/3)-13/6/a^2/x^2*(b*x+a)^(2/3)+14/9*b^2/a^(10/3)*ln(-a^(1/3)+(b*x+a)^(1/3))-7/9*b^2/a^(10/3)*ln(a^(2/3)+(b*x+a)^(1/3)*a^(1/3)+(b*x+a)^(2/3))+14/9*b^2/a^(10/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2*(b*x+a)^(1/3)/a^(1/3)+1))","A"
420,1,87,60,0.011000," ","int(1/x/(b^3*x+a^3)^(1/3),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\left(a +2 \left(b^{3} x +a^{3}\right)^{\frac{1}{3}}\right) \sqrt{3}}{3 a}\right)}{a}+\frac{\ln \left(-a +\left(b^{3} x +a^{3}\right)^{\frac{1}{3}}\right)}{a}-\frac{\ln \left(a^{2}+\left(b^{3} x +a^{3}\right)^{\frac{1}{3}} a +\left(b^{3} x +a^{3}\right)^{\frac{2}{3}}\right)}{2 a}"," ",0,"1/a*ln((b^3*x+a^3)^(1/3)-a)-1/2/a*ln((b^3*x+a^3)^(2/3)+(b^3*x+a^3)^(1/3)*a+a^2)+arctan(1/3*(a+2*(b^3*x+a^3)^(1/3))/a*3^(1/2))*3^(1/2)/a","A"
421,1,91,62,0.004000," ","int(1/x/(-b^3*x+a^3)^(1/3),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\left(a +2 \left(-b^{3} x +a^{3}\right)^{\frac{1}{3}}\right) \sqrt{3}}{3 a}\right)}{a}+\frac{\ln \left(-a +\left(-b^{3} x +a^{3}\right)^{\frac{1}{3}}\right)}{a}-\frac{\ln \left(a^{2}+\left(-b^{3} x +a^{3}\right)^{\frac{1}{3}} a +\left(-b^{3} x +a^{3}\right)^{\frac{2}{3}}\right)}{2 a}"," ",0,"1/a*ln((-b^3*x+a^3)^(1/3)-a)-1/2/a*ln((-b^3*x+a^3)^(2/3)+(-b^3*x+a^3)^(1/3)*a+a^2)+arctan(1/3*(a+2*(-b^3*x+a^3)^(1/3))/a*3^(1/2))*3^(1/2)/a","A"
422,1,97,63,0.009000," ","int(1/x/(b^3*x-a^3)^(1/3),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\left(-a +2 \left(b^{3} x -a^{3}\right)^{\frac{1}{3}}\right) \sqrt{3}}{3 a}\right)}{a}-\frac{\ln \left(a +\left(b^{3} x -a^{3}\right)^{\frac{1}{3}}\right)}{a}+\frac{\ln \left(a^{2}-\left(b^{3} x -a^{3}\right)^{\frac{1}{3}} a +\left(b^{3} x -a^{3}\right)^{\frac{2}{3}}\right)}{2 a}"," ",0,"1/2/a*ln((b^3*x-a^3)^(2/3)-(b^3*x-a^3)^(1/3)*a+a^2)+1/a*3^(1/2)*arctan(1/3*(2*(b^3*x-a^3)^(1/3)-a)*3^(1/2)/a)-ln(a+(b^3*x-a^3)^(1/3))/a","A"
423,1,101,65,0.004000," ","int(1/x/(-b^3*x-a^3)^(1/3),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\left(-a +2 \left(-b^{3} x -a^{3}\right)^{\frac{1}{3}}\right) \sqrt{3}}{3 a}\right)}{a}-\frac{\ln \left(a +\left(-b^{3} x -a^{3}\right)^{\frac{1}{3}}\right)}{a}+\frac{\ln \left(a^{2}-\left(-b^{3} x -a^{3}\right)^{\frac{1}{3}} a +\left(-b^{3} x -a^{3}\right)^{\frac{2}{3}}\right)}{2 a}"," ",0,"1/2/a*ln((-b^3*x-a^3)^(2/3)-(-b^3*x-a^3)^(1/3)*a+a^2)+1/a*3^(1/2)*arctan(1/3*(2*(-b^3*x-a^3)^(1/3)-a)*3^(1/2)/a)-ln(a+(-b^3*x-a^3)^(1/3))/a","A"
424,1,88,61,0.009000," ","int(1/x/(b^3*x+a^3)^(2/3),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\left(a +2 \left(b^{3} x +a^{3}\right)^{\frac{1}{3}}\right) \sqrt{3}}{3 a}\right)}{a^{2}}+\frac{\ln \left(-a +\left(b^{3} x +a^{3}\right)^{\frac{1}{3}}\right)}{a^{2}}-\frac{\ln \left(a^{2}+\left(b^{3} x +a^{3}\right)^{\frac{1}{3}} a +\left(b^{3} x +a^{3}\right)^{\frac{2}{3}}\right)}{2 a^{2}}"," ",0,"1/a^2*ln(-a+(b^3*x+a^3)^(1/3))-1/2/a^2*ln(a^2+(b^3*x+a^3)^(1/3)*a+(b^3*x+a^3)^(2/3))-arctan(1/3*(a+2*(b^3*x+a^3)^(1/3))*3^(1/2)/a)*3^(1/2)/a^2","A"
425,1,92,63,0.003000," ","int(1/x/(-b^3*x+a^3)^(2/3),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\left(a +2 \left(-b^{3} x +a^{3}\right)^{\frac{1}{3}}\right) \sqrt{3}}{3 a}\right)}{a^{2}}+\frac{\ln \left(-a +\left(-b^{3} x +a^{3}\right)^{\frac{1}{3}}\right)}{a^{2}}-\frac{\ln \left(a^{2}+\left(-b^{3} x +a^{3}\right)^{\frac{1}{3}} a +\left(-b^{3} x +a^{3}\right)^{\frac{2}{3}}\right)}{2 a^{2}}"," ",0,"1/a^2*ln(-a+(-b^3*x+a^3)^(1/3))-1/2/a^2*ln(a^2+(-b^3*x+a^3)^(1/3)*a+(-b^3*x+a^3)^(2/3))-arctan(1/3*(a+2*(-b^3*x+a^3)^(1/3))*3^(1/2)/a)*3^(1/2)/a^2","A"
426,1,96,63,0.008000," ","int(1/x/(b^3*x-a^3)^(2/3),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\left(-a +2 \left(b^{3} x -a^{3}\right)^{\frac{1}{3}}\right) \sqrt{3}}{3 a}\right)}{a^{2}}+\frac{\ln \left(a +\left(b^{3} x -a^{3}\right)^{\frac{1}{3}}\right)}{a^{2}}-\frac{\ln \left(a^{2}-\left(b^{3} x -a^{3}\right)^{\frac{1}{3}} a +\left(b^{3} x -a^{3}\right)^{\frac{2}{3}}\right)}{2 a^{2}}"," ",0,"-1/2/a^2*ln(a^2-(b^3*x-a^3)^(1/3)*a+(b^3*x-a^3)^(2/3))+1/a^2*3^(1/2)*arctan(1/3*(-a+2*(b^3*x-a^3)^(1/3))*3^(1/2)/a)+ln(a+(b^3*x-a^3)^(1/3))/a^2","A"
427,1,100,65,0.003000," ","int(1/x/(-b^3*x-a^3)^(2/3),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\left(-a +2 \left(-b^{3} x -a^{3}\right)^{\frac{1}{3}}\right) \sqrt{3}}{3 a}\right)}{a^{2}}+\frac{\ln \left(a +\left(-b^{3} x -a^{3}\right)^{\frac{1}{3}}\right)}{a^{2}}-\frac{\ln \left(a^{2}-\left(-b^{3} x -a^{3}\right)^{\frac{1}{3}} a +\left(-b^{3} x -a^{3}\right)^{\frac{2}{3}}\right)}{2 a^{2}}"," ",0,"-1/2/a^2*ln(a^2-(-b^3*x-a^3)^(1/3)*a+(-b^3*x-a^3)^(2/3))+1/a^2*3^(1/2)*arctan(1/3*(-a+2*(-b^3*x-a^3)^(1/3))*3^(1/2)/a)+ln(a+(-b^3*x-a^3)^(1/3))/a^2","A"
428,1,31,25,0.003000," ","int(x^m*(b*x+a),x)","\frac{\left(b m x +a m +b x +2 a \right) x^{m +1}}{\left(m +2\right) \left(m +1\right)}"," ",0,"x^(1+m)*(b*m*x+a*m+b*x+2*a)/(2+m)/(1+m)","A"
429,1,14,13,0.003000," ","int(x^(5/2)*(b*x+a),x)","\frac{2 \left(7 b x +9 a \right) x^{\frac{7}{2}}}{63}"," ",0,"2/63*x^(7/2)*(7*b*x+9*a)","A"
430,1,14,13,0.003000," ","int(x^(3/2)*(b*x+a),x)","\frac{2 \left(5 b x +7 a \right) x^{\frac{5}{2}}}{35}"," ",0,"2/35*x^(5/2)*(5*b*x+7*a)","A"
431,1,14,13,0.003000," ","int((b*x+a)*x^(1/2),x)","\frac{2 \left(3 b x +5 a \right) x^{\frac{3}{2}}}{15}"," ",0,"2/15*x^(3/2)*(3*b*x+5*a)","A"
432,1,13,13,0.004000," ","int((b*x+a)/x^(1/2),x)","\frac{2 \left(b x +3 a \right) \sqrt{x}}{3}"," ",0,"2/3*x^(1/2)*(b*x+3*a)","A"
433,1,12,13,0.003000," ","int((b*x+a)/x^(3/2),x)","-\frac{2 \left(-b x +a \right)}{\sqrt{x}}"," ",0,"-2*(-b*x+a)/x^(1/2)","A"
434,1,12,13,0.002000," ","int((b*x+a)/x^(5/2),x)","-\frac{2 \left(3 b x +a \right)}{3 x^{\frac{3}{2}}}"," ",0,"-2/3*(3*b*x+a)/x^(3/2)","A"
435,1,87,43,0.005000," ","int(x^m*(b*x+a)^2,x)","\frac{\left(b^{2} m^{2} x^{2}+2 a b \,m^{2} x +3 b^{2} m \,x^{2}+a^{2} m^{2}+8 a b m x +2 b^{2} x^{2}+5 a^{2} m +6 a b x +6 a^{2}\right) x^{m +1}}{\left(m +3\right) \left(m +2\right) \left(m +1\right)}"," ",0,"x^(m+1)*(b^2*m^2*x^2+2*a*b*m^2*x+3*b^2*m*x^2+a^2*m^2+8*a*b*m*x+2*b^2*x^2+5*a^2*m+6*a*b*x+6*a^2)/(3+m)/(m+2)/(m+1)","A"
436,1,25,24,0.003000," ","int(x^(5/2)*(b*x+a)^2,x)","\frac{2 \left(63 b^{2} x^{2}+154 a b x +99 a^{2}\right) x^{\frac{7}{2}}}{693}"," ",0,"2/693*x^(7/2)*(63*b^2*x^2+154*a*b*x+99*a^2)","A"
437,1,25,24,0.004000," ","int(x^(3/2)*(b*x+a)^2,x)","\frac{2 \left(35 b^{2} x^{2}+90 a b x +63 a^{2}\right) x^{\frac{5}{2}}}{315}"," ",0,"2/315*x^(5/2)*(35*b^2*x^2+90*a*b*x+63*a^2)","A"
438,1,25,24,0.004000," ","int((b*x+a)^2*x^(1/2),x)","\frac{2 \left(15 b^{2} x^{2}+42 a b x +35 a^{2}\right) x^{\frac{3}{2}}}{105}"," ",0,"2/105*x^(3/2)*(15*b^2*x^2+42*a*b*x+35*a^2)","A"
439,1,25,24,0.004000," ","int((b*x+a)^2/x^(1/2),x)","\frac{2 \left(3 b^{2} x^{2}+10 a b x +15 a^{2}\right) \sqrt{x}}{15}"," ",0,"2/15*x^(1/2)*(3*b^2*x^2+10*a*b*x+15*a^2)","A"
440,1,25,24,0.004000," ","int((b*x+a)^2/x^(3/2),x)","-\frac{2 \left(-b^{2} x^{2}-6 a b x +3 a^{2}\right)}{3 \sqrt{x}}"," ",0,"-2/3*(-b^2*x^2-6*a*b*x+3*a^2)/x^(1/2)","A"
441,1,23,24,0.004000," ","int((b*x+a)^2/x^(5/2),x)","-\frac{2 \left(-3 b^{2} x^{2}+6 a b x +a^{2}\right)}{3 x^{\frac{3}{2}}}"," ",0,"-2/3*(-3*b^2*x^2+6*a*b*x+a^2)/x^(3/2)","A"
442,1,170,61,0.004000," ","int(x^m*(b*x+a)^3,x)","\frac{\left(b^{3} m^{3} x^{3}+3 a \,b^{2} m^{3} x^{2}+6 b^{3} m^{2} x^{3}+3 a^{2} b \,m^{3} x +21 a \,b^{2} m^{2} x^{2}+11 b^{3} m \,x^{3}+a^{3} m^{3}+24 a^{2} b \,m^{2} x +42 a \,b^{2} m \,x^{2}+6 b^{3} x^{3}+9 a^{3} m^{2}+57 a^{2} b m x +24 a \,b^{2} x^{2}+26 a^{3} m +36 a^{2} b x +24 a^{3}\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^3*m^3*x^3+3*a*b^2*m^3*x^2+6*b^3*m^2*x^3+3*a^2*b*m^3*x+21*a*b^2*m^2*x^2+11*b^3*m*x^3+a^3*m^3+24*a^2*b*m^2*x+42*a*b^2*m*x^2+6*b^3*x^3+9*a^3*m^2+57*a^2*b*m*x+24*a*b^2*x^2+26*a^3*m+36*a^2*b*x+24*a^3)/(4+m)/(m+3)/(m+2)/(m+1)","B"
443,1,36,35,0.004000," ","int(x^(5/2)*(b*x+a)^3,x)","\frac{2 \left(231 b^{3} x^{3}+819 a \,b^{2} x^{2}+1001 a^{2} b x +429 a^{3}\right) x^{\frac{7}{2}}}{3003}"," ",0,"2/3003*x^(7/2)*(231*b^3*x^3+819*a*b^2*x^2+1001*a^2*b*x+429*a^3)","A"
444,1,36,35,0.004000," ","int(x^(3/2)*(b*x+a)^3,x)","\frac{2 \left(105 b^{3} x^{3}+385 a \,b^{2} x^{2}+495 a^{2} b x +231 a^{3}\right) x^{\frac{5}{2}}}{1155}"," ",0,"2/1155*x^(5/2)*(105*b^3*x^3+385*a*b^2*x^2+495*a^2*b*x+231*a^3)","A"
445,1,36,35,0.005000," ","int((b*x+a)^3*x^(1/2),x)","\frac{2 \left(35 b^{3} x^{3}+135 a \,b^{2} x^{2}+189 a^{2} b x +105 a^{3}\right) x^{\frac{3}{2}}}{315}"," ",0,"2/315*x^(3/2)*(35*b^3*x^3+135*a*b^2*x^2+189*a^2*b*x+105*a^3)","A"
446,1,36,35,0.004000," ","int((b*x+a)^3/x^(1/2),x)","\frac{2 \left(5 b^{3} x^{3}+21 a \,b^{2} x^{2}+35 a^{2} b x +35 a^{3}\right) \sqrt{x}}{35}"," ",0,"2/35*x^(1/2)*(5*b^3*x^3+21*a*b^2*x^2+35*a^2*b*x+35*a^3)","A"
447,1,36,35,0.005000," ","int((b*x+a)^3/x^(3/2),x)","-\frac{2 \left(-b^{3} x^{3}-5 a \,b^{2} x^{2}-15 a^{2} b x +5 a^{3}\right)}{5 \sqrt{x}}"," ",0,"-2/5*(-b^3*x^3-5*a*b^2*x^2-15*a^2*b*x+5*a^3)/x^(1/2)","A"
448,1,34,35,0.005000," ","int((b*x+a)^3/x^(5/2),x)","-\frac{2 \left(-b^{3} x^{3}-9 a \,b^{2} x^{2}+9 a^{2} b x +a^{3}\right)}{3 x^{\frac{3}{2}}}"," ",0,"-2/3*(-b^3*x^3-9*a*b^2*x^2+9*a^2*b*x+a^3)/x^(3/2)","A"
449,1,54,48,0.009000," ","int(x^(5/2)/(b*x+a),x)","\frac{2 x^{\frac{5}{2}}}{5 b}-\frac{2 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^{2}}+\frac{2 a^{2} \sqrt{x}}{b^{3}}"," ",0,"2/5*x^(5/2)/b-2/3*a*x^(3/2)/b^2+2*a^2*x^(1/2)/b^3-2*a^3/b^3/(a*b)^(1/2)*arctan(x^(1/2)*b/(a*b)^(1/2))","A"
450,1,43,37,0.007000," ","int(x^(3/2)/(b*x+a),x)","\frac{2 a^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{2}}+\frac{2 x^{\frac{3}{2}}}{3 b}-\frac{2 a \sqrt{x}}{b^{2}}"," ",0,"2/3*x^(3/2)/b-2*a*x^(1/2)/b^2+2*a^2/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))","A"
451,1,32,28,0.006000," ","int(x^(1/2)/(b*x+a),x)","-\frac{2 a \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b}+\frac{2 \sqrt{x}}{b}"," ",0,"2*x^(1/2)/b-2*a/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))","A"
452,1,19,19,0.006000," ","int(1/(b*x+a)/x^(1/2),x)","\frac{2 \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}}"," ",0,"2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))","A"
453,1,32,28,0.008000," ","int(1/x^(3/2)/(b*x+a),x)","-\frac{2 b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a}-\frac{2}{a \sqrt{x}}"," ",0,"-2/a/x^(1/2)-2/a*b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))","A"
454,1,43,37,0.011000," ","int(1/x^(5/2)/(b*x+a),x)","\frac{2 b^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{2}}+\frac{2 b}{a^{2} \sqrt{x}}-\frac{2}{3 a \,x^{\frac{3}{2}}}"," ",0,"-2/3/a/x^(3/2)+2*b/a^2/x^(1/2)+2/a^2*b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))","A"
455,1,54,48,0.010000," ","int(1/x^(7/2)/(b*x+a),x)","-\frac{2 b^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{3}}-\frac{2 b^{2}}{a^{3} \sqrt{x}}+\frac{2 b}{3 a^{2} x^{\frac{3}{2}}}-\frac{2}{5 a \,x^{\frac{5}{2}}}"," ",0,"-2/5/a/x^(5/2)-2*b^2/a^3/x^(1/2)+2/3*b/a^2/x^(3/2)-2/a^3*b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))","A"
456,1,61,52,0.011000," ","int(x^(5/2)/(b*x+a)^2,x)","\frac{5 a^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{3}}-\frac{a^{2} \sqrt{x}}{\left(b x +a \right) b^{3}}+\frac{2 x^{\frac{3}{2}}}{3 b^{2}}-\frac{4 a \sqrt{x}}{b^{3}}"," ",0,"2/3*x^(3/2)/b^2-4*a*x^(1/2)/b^3-1/b^3*a^2*x^(1/2)/(b*x+a)+5/b^3*a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))","A"
457,1,47,43,0.011000," ","int(x^(3/2)/(b*x+a)^2,x)","-\frac{3 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^{2}}+\frac{2 \sqrt{x}}{b^{2}}"," ",0,"2*x^(1/2)/b^2+1/b^2*a*x^(1/2)/(b*x+a)-3/b^2*a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))","A"
458,1,37,34,0.010000," ","int(x^(1/2)/(b*x+a)^2,x)","\frac{\arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b}-\frac{\sqrt{x}}{\left(b x +a \right) b}"," ",0,"-x^(1/2)/b/(b*x+a)+1/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))","A"
459,1,36,33,0.009000," ","int(1/(b*x+a)^2/x^(1/2),x)","\frac{\arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a}+\frac{\sqrt{x}}{\left(b x +a \right) a}"," ",0,"x^(1/2)/a/(b*x+a)+1/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))","A"
460,1,48,42,0.013000," ","int(1/x^(3/2)/(b*x+a)^2,x)","-\frac{3 b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{2}}-\frac{b \sqrt{x}}{\left(b x +a \right) a^{2}}-\frac{2}{a^{2} \sqrt{x}}"," ",0,"-2/a^2/x^(1/2)-1/a^2*b*x^(1/2)/(b*x+a)-3/a^2*b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))","A"
461,1,60,51,0.015000," ","int(1/x^(5/2)/(b*x+a)^2,x)","\frac{5 b^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{3}}+\frac{b^{2} \sqrt{x}}{\left(b x +a \right) a^{3}}+\frac{4 b}{a^{3} \sqrt{x}}-\frac{2}{3 a^{2} x^{\frac{3}{2}}}"," ",0,"-2/3/a^2/x^(3/2)+4*b/a^3/x^(1/2)+1/a^3*b^2*x^(1/2)/(b*x+a)+5/a^3*b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))","A"
462,1,79,67,0.015000," ","int(x^(7/2)/(b*x+a)^3,x)","-\frac{13 a^{2} x^{\frac{3}{2}}}{4 \left(b x +a \right)^{2} b^{3}}-\frac{11 a^{3} \sqrt{x}}{4 \left(b x +a \right)^{2} b^{4}}+\frac{35 a^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, b^{4}}+\frac{2 x^{\frac{3}{2}}}{3 b^{3}}-\frac{6 a \sqrt{x}}{b^{4}}"," ",0,"2/3*x^(3/2)/b^3-6*a*x^(1/2)/b^4-13/4/b^3*a^2/(b*x+a)^2*x^(3/2)-11/4/b^4*a^3/(b*x+a)^2*x^(1/2)+35/4/b^4*a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))","A"
463,1,66,58,0.015000," ","int(x^(5/2)/(b*x+a)^3,x)","\frac{9 a \,x^{\frac{3}{2}}}{4 \left(b x +a \right)^{2} b^{2}}+\frac{7 a^{2} \sqrt{x}}{4 \left(b x +a \right)^{2} b^{3}}-\frac{15 a \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, b^{3}}+\frac{2 \sqrt{x}}{b^{3}}"," ",0,"2*x^(1/2)/b^3+9/4/b^2*a/(b*x+a)^2*x^(3/2)+7/4/b^3*a^2/(b*x+a)^2*x^(1/2)-15/4/b^3*a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))","A"
464,1,50,50,0.013000," ","int(x^(3/2)/(b*x+a)^3,x)","\frac{3 \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, b^{2}}+\frac{-\frac{5 x^{\frac{3}{2}}}{4 b}-\frac{3 a \sqrt{x}}{4 b^{2}}}{\left(b x +a \right)^{2}}"," ",0,"2*(-5/8/b*x^(3/2)-3/8*a/b^2*x^(1/2))/(b*x+a)^2+3/4/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))","A"
465,1,52,53,0.009000," ","int(x^(1/2)/(b*x+a)^3,x)","\frac{\arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, a b}+\frac{\frac{x^{\frac{3}{2}}}{4 a}-\frac{\sqrt{x}}{4 b}}{\left(b x +a \right)^{2}}"," ",0,"2*(1/8/a*x^(3/2)-1/8/b*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"
466,1,53,50,0.009000," ","int(1/(b*x+a)^3/x^(1/2),x)","\frac{\sqrt{x}}{2 \left(b x +a \right)^{2} a}+\frac{3 \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, a^{2}}+\frac{3 \sqrt{x}}{4 \left(b x +a \right) a^{2}}"," ",0,"1/2*x^(1/2)/a/(b*x+a)^2+3/4*x^(1/2)/a^2/(b*x+a)+3/4/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))","A"
467,1,66,58,0.015000," ","int(1/x^(3/2)/(b*x+a)^3,x)","-\frac{7 b^{2} x^{\frac{3}{2}}}{4 \left(b x +a \right)^{2} a^{3}}-\frac{9 b \sqrt{x}}{4 \left(b x +a \right)^{2} a^{2}}-\frac{15 b \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, a^{3}}-\frac{2}{a^{3} \sqrt{x}}"," ",0,"-2/a^3/x^(1/2)-7/4/a^3*b^2/(b*x+a)^2*x^(3/2)-9/4/a^2*b/(b*x+a)^2*x^(1/2)-15/4/a^3*b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))","A"
468,1,79,67,0.016000," ","int(1/x^(5/2)/(b*x+a)^3,x)","\frac{11 b^{3} x^{\frac{3}{2}}}{4 \left(b x +a \right)^{2} a^{4}}+\frac{13 b^{2} \sqrt{x}}{4 \left(b x +a \right)^{2} a^{3}}+\frac{35 b^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, a^{4}}+\frac{6 b}{a^{4} \sqrt{x}}-\frac{2}{3 a^{3} x^{\frac{3}{2}}}"," ",0,"-2/3/a^3/x^(3/2)+6*b/a^4/x^(1/2)+11/4/a^4*b^3/(b*x+a)^2*x^(3/2)+13/4/a^3*b^2/(b*x+a)^2*x^(1/2)+35/4/a^4*b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^(1/2))","A"
469,1,54,48,0.006000," ","int(x^(5/2)/(b*x-a),x)","-\frac{2 a^{3} \arctanh \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{3}}+\frac{\frac{2 b^{2} x^{\frac{5}{2}}}{5}+\frac{2 a b \,x^{\frac{3}{2}}}{3}+2 a^{2} \sqrt{x}}{b^{3}}"," ",0,"2/b^3*(1/5*b^2*x^(5/2)+1/3*a*b*x^(3/2)+a^2*x^(1/2))-2*a^3/b^3/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x^(1/2))","A"
470,1,43,37,0.008000," ","int(x^(3/2)/(b*x-a),x)","-\frac{2 a^{2} \arctanh \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{2}}+\frac{\frac{2 b \,x^{\frac{3}{2}}}{3}+2 a \sqrt{x}}{b^{2}}"," ",0,"2/b^2*(1/3*b*x^(3/2)+a*x^(1/2))-2*a^2/b^2/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x^(1/2))","A"
471,1,32,28,0.004000," ","int(x^(1/2)/(b*x-a),x)","-\frac{2 a \arctanh \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b}+\frac{2 \sqrt{x}}{b}"," ",0,"2/b*x^(1/2)-2*a/b/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x^(1/2))","A"
472,1,19,19,0.005000," ","int(1/(b*x-a)/x^(1/2),x)","-\frac{2 \arctanh \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}}"," ",0,"-2/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x^(1/2))","A"
473,1,32,28,0.007000," ","int(1/x^(3/2)/(b*x-a),x)","-\frac{2 b \arctanh \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a}+\frac{2}{a \sqrt{x}}"," ",0,"-2/a*b/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x^(1/2))+2/a/x^(1/2)","A"
474,1,43,37,0.010000," ","int(1/x^(5/2)/(b*x-a),x)","-\frac{2 b^{2} \arctanh \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{2}}+\frac{2 b}{a^{2} \sqrt{x}}+\frac{2}{3 a \,x^{\frac{3}{2}}}"," ",0,"-2/a^2*b^2/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x^(1/2))+2/3/a/x^(3/2)+2/a^2*b/x^(1/2)","A"
475,1,54,48,0.010000," ","int(1/x^(7/2)/(b*x-a),x)","-\frac{2 b^{3} \arctanh \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{3}}+\frac{2 b^{2}}{a^{3} \sqrt{x}}+\frac{2 b}{3 a^{2} x^{\frac{3}{2}}}+\frac{2}{5 a \,x^{\frac{5}{2}}}"," ",0,"-2/a^3*b^3/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x^(1/2))+2/5/a/x^(5/2)+2/a^3*b^2/x^(1/2)+2/3/a^2*b/x^(3/2)","A"
476,1,61,52,0.012000," ","int(x^(5/2)/(b*x-a)^2,x)","\frac{2 \left(-\frac{5 \arctanh \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{2 \sqrt{a b}}-\frac{\sqrt{x}}{2 \left(b x -a \right)}\right) a^{2}}{b^{3}}+\frac{\frac{2 b \,x^{\frac{3}{2}}}{3}+4 a \sqrt{x}}{b^{3}}"," ",0,"2/b^3*(1/3*b*x^(3/2)+2*a*x^(1/2))+2/b^3*a^2*(-1/2*x^(1/2)/(b*x-a)-5/2/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x^(1/2)))","A"
477,1,49,43,0.011000," ","int(x^(3/2)/(b*x-a)^2,x)","\frac{2 \left(-\frac{3 \arctanh \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{2 \sqrt{a b}}-\frac{\sqrt{x}}{2 \left(b x -a \right)}\right) a}{b^{2}}+\frac{2 \sqrt{x}}{b^{2}}"," ",0,"2/b^2*x^(1/2)+2*a/b^2*(-1/2/(b*x-a)*x^(1/2)-3/2/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x^(1/2)))","A"
478,1,40,35,0.009000," ","int(x^(1/2)/(b*x-a)^2,x)","-\frac{\arctanh \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b}-\frac{\sqrt{x}}{\left(b x -a \right) b}"," ",0,"-1/b*x^(1/2)/(b*x-a)-1/b/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x^(1/2))","A"
479,1,39,34,0.008000," ","int(1/(b*x-a)^2/x^(1/2),x)","\frac{\arctanh \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a}-\frac{\sqrt{x}}{\left(b x -a \right) a}"," ",0,"-x^(1/2)/a/(b*x-a)+1/a/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x^(1/2))","A"
480,1,49,43,0.013000," ","int(1/x^(3/2)/(b*x-a)^2,x)","-\frac{2 \left(-\frac{3 \arctanh \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{2 \sqrt{a b}}+\frac{\sqrt{x}}{2 b x -2 a}\right) b}{a^{2}}-\frac{2}{a^{2} \sqrt{x}}"," ",0,"-2/a^2*b*(1/2/(b*x-a)*x^(1/2)-3/2/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x^(1/2)))-2/a^2/x^(1/2)","A"
481,1,60,52,0.016000," ","int(1/x^(5/2)/(b*x-a)^2,x)","-\frac{2 \left(-\frac{5 \arctanh \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{2 \sqrt{a b}}+\frac{\sqrt{x}}{2 b x -2 a}\right) b^{2}}{a^{3}}-\frac{4 b}{a^{3} \sqrt{x}}-\frac{2}{3 a^{2} x^{\frac{3}{2}}}"," ",0,"-2/a^3*b^2*(1/2/(b*x-a)*x^(1/2)-5/2/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x^(1/2)))-2/3/a^2/x^(3/2)-4/a^3*b/x^(1/2)","A"
482,1,70,69,0.015000," ","int(x^(7/2)/(b*x-a)^3,x)","\frac{2 \left(-\frac{35 \arctanh \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{8 \sqrt{a b}}+\frac{-\frac{13 b \,x^{\frac{3}{2}}}{8}+\frac{11 a \sqrt{x}}{8}}{\left(b x -a \right)^{2}}\right) a^{2}}{b^{4}}+\frac{\frac{2 b \,x^{\frac{3}{2}}}{3}+6 a \sqrt{x}}{b^{4}}"," ",0,"2/b^4*(1/3*b*x^(3/2)+3*a*x^(1/2))+2/b^4*a^2*((-13/8*b*x^(3/2)+11/8*a*x^(1/2))/(b*x-a)^2-35/8/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x^(1/2)))","A"
483,1,58,60,0.012000," ","int(x^(5/2)/(b*x-a)^3,x)","\frac{2 \left(-\frac{15 \arctanh \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{8 \sqrt{a b}}+\frac{-\frac{9 b \,x^{\frac{3}{2}}}{8}+\frac{7 a \sqrt{x}}{8}}{\left(b x -a \right)^{2}}\right) a}{b^{3}}+\frac{2 \sqrt{x}}{b^{3}}"," ",0,"2/b^3*x^(1/2)+2/b^3*a*((-9/8*b*x^(3/2)+7/8*a*x^(1/2))/(b*x-a)^2-15/8/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x^(1/2)))","A"
484,1,52,52,0.013000," ","int(x^(3/2)/(b*x-a)^3,x)","-\frac{3 \arctanh \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, b^{2}}+\frac{-\frac{5 x^{\frac{3}{2}}}{4 b}+\frac{3 a \sqrt{x}}{4 b^{2}}}{\left(b x -a \right)^{2}}"," ",0,"2*(-5/8/b*x^(3/2)+3/8*a/b^2*x^(1/2))/(b*x-a)^2-3/4/b^2/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x^(1/2))","A"
485,1,54,55,0.010000," ","int(x^(1/2)/(b*x-a)^3,x)","\frac{\arctanh \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, a b}+\frac{-\frac{x^{\frac{3}{2}}}{4 a}-\frac{\sqrt{x}}{4 b}}{\left(b x -a \right)^{2}}"," ",0,"2*(-1/8/a*x^(3/2)-1/8/b*x^(1/2))/(b*x-a)^2+1/4/b/a/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x^(1/2))","A"
486,1,63,52,0.009000," ","int(1/(b*x-a)^3/x^(1/2),x)","-\frac{\sqrt{x}}{2 \left(b x -a \right)^{2} a}-\frac{3 \left(\frac{\arctanh \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a}-\frac{\sqrt{x}}{2 \left(b x -a \right) a}\right)}{2 a}"," ",0,"-1/2*x^(1/2)/a/(b*x-a)^2-3/2/a*(-1/2/(b*x-a)/a*x^(1/2)+1/2/a/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x^(1/2)))","A"
487,1,58,60,0.015000," ","int(1/x^(3/2)/(b*x-a)^3,x)","\frac{2 \left(-\frac{15 \arctanh \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{8 \sqrt{a b}}+\frac{\frac{7 b \,x^{\frac{3}{2}}}{8}-\frac{9 a \sqrt{x}}{8}}{\left(b x -a \right)^{2}}\right) b}{a^{3}}+\frac{2}{a^{3} \sqrt{x}}"," ",0,"2/a^3*b*((7/8*b*x^(3/2)-9/8*a*x^(1/2))/(b*x-a)^2-15/8/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x^(1/2)))+2/a^3/x^(1/2)","A"
488,1,69,69,0.017000," ","int(1/x^(5/2)/(b*x-a)^3,x)","\frac{2 \left(-\frac{35 \arctanh \left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{8 \sqrt{a b}}+\frac{\frac{11 b \,x^{\frac{3}{2}}}{8}-\frac{13 a \sqrt{x}}{8}}{\left(b x -a \right)^{2}}\right) b^{2}}{a^{4}}+\frac{6 b}{a^{4} \sqrt{x}}+\frac{2}{3 a^{3} x^{\frac{3}{2}}}"," ",0,"2/a^4*b^2*((11/8*b*x^(3/2)-13/8*a*x^(1/2))/(b*x-a)^2-35/8/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x^(1/2)))+2/3/a^3/x^(3/2)+6/a^4*b/x^(1/2)","A"
489,1,120,88,0.009000," ","int(x^(5/2)*(b*x+a)^(1/2),x)","\frac{\left(b x +a \right)^{\frac{3}{2}} x^{\frac{5}{2}}}{4 b}-\frac{5 \sqrt{\left(b x +a \right) x}\, a^{4} \ln \left(\frac{b x +\frac{a}{2}}{\sqrt{b}}+\sqrt{b \,x^{2}+a x}\right)}{128 \sqrt{b x +a}\, b^{\frac{7}{2}} \sqrt{x}}-\frac{5 \sqrt{b x +a}\, a^{3} \sqrt{x}}{64 b^{3}}-\frac{5 \left(b x +a \right)^{\frac{3}{2}} a \,x^{\frac{3}{2}}}{24 b^{2}}+\frac{5 \left(b x +a \right)^{\frac{3}{2}} a^{2} \sqrt{x}}{32 b^{3}}"," ",0,"1/4/b*x^(5/2)*(b*x+a)^(3/2)-5/24*a/b^2*x^(3/2)*(b*x+a)^(3/2)+5/32*a^2/b^3*x^(1/2)*(b*x+a)^(3/2)-5/64*a^3*x^(1/2)*(b*x+a)^(1/2)/b^3-5/128*a^4/b^(7/2)*(x*(b*x+a))^(1/2)/(b*x+a)^(1/2)/x^(1/2)*ln((1/2*a+b*x)/b^(1/2)+(b*x^2+a*x)^(1/2))","A"
490,1,102,70,0.005000," ","int(x^(3/2)*(b*x+a)^(1/2),x)","\frac{\sqrt{\left(b x +a \right) x}\, a^{3} \ln \left(\frac{b x +\frac{a}{2}}{\sqrt{b}}+\sqrt{b \,x^{2}+a x}\right)}{16 \sqrt{b x +a}\, b^{\frac{5}{2}} \sqrt{x}}+\frac{\sqrt{b x +a}\, a^{2} \sqrt{x}}{8 b^{2}}+\frac{\left(b x +a \right)^{\frac{3}{2}} x^{\frac{3}{2}}}{3 b}-\frac{\left(b x +a \right)^{\frac{3}{2}} a \sqrt{x}}{4 b^{2}}"," ",0,"1/3/b*x^(3/2)*(b*x+a)^(3/2)-1/4*a/b^2*x^(1/2)*(b*x+a)^(3/2)+1/8*a^2*x^(1/2)*(b*x+a)^(1/2)/b^2+1/16*a^3/b^(5/2)*((b*x+a)*x)^(1/2)/(b*x+a)^(1/2)/x^(1/2)*ln((b*x+1/2*a)/b^(1/2)+(b*x^2+a*x)^(1/2))","A"
491,1,81,52,0.006000," ","int(x^(1/2)*(b*x+a)^(1/2),x)","\frac{\sqrt{b x +a}\, x^{\frac{3}{2}}}{2}-\frac{\sqrt{\left(b x +a \right) x}\, a^{2} \ln \left(\frac{b x +\frac{a}{2}}{\sqrt{b}}+\sqrt{b \,x^{2}+a x}\right)}{8 \sqrt{b x +a}\, b^{\frac{3}{2}} \sqrt{x}}+\frac{\sqrt{b x +a}\, a \sqrt{x}}{4 b}"," ",0,"1/2*x^(3/2)*(b*x+a)^(1/2)+1/4*a*x^(1/2)*(b*x+a)^(1/2)/b-1/8*a^2/b^(3/2)*((b*x+a)*x)^(1/2)/x^(1/2)/(b*x+a)^(1/2)*ln((b*x+1/2*a)/b^(1/2)+(b*x^2+a*x)^(1/2))","A"
492,1,62,32,0.004000," ","int((b*x+a)^(1/2)/x^(1/2),x)","\frac{\sqrt{\left(b x +a \right) x}\, a \ln \left(\frac{b x +\frac{a}{2}}{\sqrt{b}}+\sqrt{b \,x^{2}+a x}\right)}{2 \sqrt{b x +a}\, \sqrt{b}\, \sqrt{x}}+\sqrt{b x +a}\, \sqrt{x}"," ",0,"x^(1/2)*(b*x+a)^(1/2)+1/2*a*((b*x+a)*x)^(1/2)/(b*x+a)^(1/2)/x^(1/2)*ln((b*x+1/2*a)/b^(1/2)+(b*x^2+a*x)^(1/2))/b^(1/2)","A"
493,1,61,33,0.037000," ","int((b*x+a)^(1/2)/x^(3/2),x)","\frac{\sqrt{\left(b x +a \right) x}\, \sqrt{b}\, \ln \left(\frac{b x +\frac{a}{2}}{\sqrt{b}}+\sqrt{b \,x^{2}+a x}\right)}{\sqrt{b x +a}\, \sqrt{x}}-\frac{2 \sqrt{b x +a}}{\sqrt{x}}"," ",0,"-2*(b*x+a)^(1/2)/x^(1/2)+b^(1/2)*ln((b*x+1/2*a)/b^(1/2)+(b*x^2+a*x)^(1/2))*((b*x+a)*x)^(1/2)/(b*x+a)^(1/2)/x^(1/2)","A"
494,1,16,15,0.004000," ","int((b*x+a)^(1/2)/x^(5/2),x)","-\frac{2 \left(b x +a \right)^{\frac{3}{2}}}{3 a \,x^{\frac{3}{2}}}"," ",0,"-2/3*(b*x+a)^(3/2)/a/x^(3/2)","A"
495,1,24,32,0.004000," ","int((b*x+a)^(1/2)/x^(7/2),x)","-\frac{2 \left(b x +a \right)^{\frac{3}{2}} \left(-2 b x +3 a \right)}{15 a^{2} x^{\frac{5}{2}}}"," ",0,"-2/15*(b*x+a)^(3/2)*(-2*b*x+3*a)/x^(5/2)/a^2","A"
496,1,35,50,0.005000," ","int((b*x+a)^(1/2)/x^(9/2),x)","-\frac{2 \left(b x +a \right)^{\frac{3}{2}} \left(8 b^{2} x^{2}-12 a b x +15 a^{2}\right)}{105 a^{3} x^{\frac{7}{2}}}"," ",0,"-2/105*(b*x+a)^(3/2)*(8*b^2*x^2-12*a*b*x+15*a^2)/x^(7/2)/a^3","A"
497,1,127,93,0.010000," ","int(x^(5/2)*(-b*x+a)^(1/2),x)","-\frac{\left(-b x +a \right)^{\frac{3}{2}} x^{\frac{5}{2}}}{4 b}+\frac{5 \sqrt{\left(-b x +a \right) x}\, a^{4} \arctan \left(\frac{\left(x -\frac{a}{2 b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+a x}}\right)}{128 \sqrt{-b x +a}\, b^{\frac{7}{2}} \sqrt{x}}+\frac{5 \sqrt{-b x +a}\, a^{3} \sqrt{x}}{64 b^{3}}-\frac{5 \left(-b x +a \right)^{\frac{3}{2}} a \,x^{\frac{3}{2}}}{24 b^{2}}-\frac{5 \left(-b x +a \right)^{\frac{3}{2}} a^{2} \sqrt{x}}{32 b^{3}}"," ",0,"-1/4/b*x^(5/2)*(-b*x+a)^(3/2)-5/24*a/b^2*x^(3/2)*(-b*x+a)^(3/2)-5/32*a^2/b^3*x^(1/2)*(-b*x+a)^(3/2)+5/64*a^3*x^(1/2)*(-b*x+a)^(1/2)/b^3+5/128*a^4/b^(7/2)*(x*(-b*x+a))^(1/2)/(-b*x+a)^(1/2)/x^(1/2)*arctan(b^(1/2)*(x-1/2*a/b)/(-b*x^2+a*x)^(1/2))","A"
498,1,108,74,0.006000," ","int(x^(3/2)*(-b*x+a)^(1/2),x)","\frac{\sqrt{\left(-b x +a \right) x}\, a^{3} \arctan \left(\frac{\left(x -\frac{a}{2 b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+a x}}\right)}{16 \sqrt{-b x +a}\, b^{\frac{5}{2}} \sqrt{x}}+\frac{\sqrt{-b x +a}\, a^{2} \sqrt{x}}{8 b^{2}}-\frac{\left(-b x +a \right)^{\frac{3}{2}} x^{\frac{3}{2}}}{3 b}-\frac{\left(-b x +a \right)^{\frac{3}{2}} a \sqrt{x}}{4 b^{2}}"," ",0,"-1/3/b*x^(3/2)*(-b*x+a)^(3/2)-1/4*a/b^2*x^(1/2)*(-b*x+a)^(3/2)+1/8*a^2*x^(1/2)*(-b*x+a)^(1/2)/b^2+1/16*a^3/b^(5/2)*((-b*x+a)*x)^(1/2)/(-b*x+a)^(1/2)/x^(1/2)*arctan((x-1/2*a/b)/(-b*x^2+a*x)^(1/2)*b^(1/2))","A"
499,1,86,55,0.006000," ","int(x^(1/2)*(-b*x+a)^(1/2),x)","\frac{\sqrt{-b x +a}\, x^{\frac{3}{2}}}{2}+\frac{\sqrt{\left(-b x +a \right) x}\, a^{2} \arctan \left(\frac{\left(x -\frac{a}{2 b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+a x}}\right)}{8 \sqrt{-b x +a}\, b^{\frac{3}{2}} \sqrt{x}}-\frac{\sqrt{-b x +a}\, a \sqrt{x}}{4 b}"," ",0,"1/2*x^(3/2)*(-b*x+a)^(1/2)-1/4*a*x^(1/2)*(-b*x+a)^(1/2)/b+1/8*a^2/b^(3/2)*((-b*x+a)*x)^(1/2)/x^(1/2)/(-b*x+a)^(1/2)*arctan((x-1/2*a/b)/(-b*x^2+a*x)^(1/2)*b^(1/2))","A"
500,1,66,34,0.004000," ","int((-b*x+a)^(1/2)/x^(1/2),x)","\frac{\sqrt{\left(-b x +a \right) x}\, a \arctan \left(\frac{\left(x -\frac{a}{2 b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+a x}}\right)}{2 \sqrt{-b x +a}\, \sqrt{b}\, \sqrt{x}}+\sqrt{-b x +a}\, \sqrt{x}"," ",0,"x^(1/2)*(-b*x+a)^(1/2)+1/2*a*((-b*x+a)*x)^(1/2)/(-b*x+a)^(1/2)/x^(1/2)/b^(1/2)*arctan((x-1/2*a/b)/(-b*x^2+a*x)^(1/2)*b^(1/2))","A"
501,0,0,35,0.032000," ","int((-b*x+a)^(1/2)/x^(3/2),x)","\int \frac{\sqrt{-b x +a}}{x^{\frac{3}{2}}}\, dx"," ",0,"int((-b*x+a)^(1/2)/x^(3/2),x)","F"
502,1,17,16,0.004000," ","int((-b*x+a)^(1/2)/x^(5/2),x)","-\frac{2 \left(-b x +a \right)^{\frac{3}{2}}}{3 a \,x^{\frac{3}{2}}}"," ",0,"-2/3*(-b*x+a)^(3/2)/a/x^(3/2)","A"
503,1,25,34,0.005000," ","int((-b*x+a)^(1/2)/x^(7/2),x)","-\frac{2 \left(-b x +a \right)^{\frac{3}{2}} \left(2 b x +3 a \right)}{15 a^{2} x^{\frac{5}{2}}}"," ",0,"-2/15*(-b*x+a)^(3/2)*(2*b*x+3*a)/x^(5/2)/a^2","A"
504,1,36,53,0.005000," ","int((-b*x+a)^(1/2)/x^(9/2),x)","-\frac{2 \left(-b x +a \right)^{\frac{3}{2}} \left(8 b^{2} x^{2}+12 a b x +15 a^{2}\right)}{105 a^{3} x^{\frac{7}{2}}}"," ",0,"-2/105*(-b*x+a)^(3/2)*(8*b^2*x^2+12*a*b*x+15*a^2)/x^(7/2)/a^3","A"
505,1,108,75,0.008000," ","int(x^(5/2)*(b*x+2)^(1/2),x)","\frac{\left(b x +2\right)^{\frac{3}{2}} x^{\frac{5}{2}}}{4 b}-\frac{5 \left(b x +2\right)^{\frac{3}{2}} x^{\frac{3}{2}}}{12 b^{2}}+\frac{5 \left(b x +2\right)^{\frac{3}{2}} \sqrt{x}}{8 b^{3}}-\frac{5 \sqrt{b x +2}\, \sqrt{x}}{8 b^{3}}-\frac{5 \sqrt{\left(b x +2\right) x}\, \ln \left(\frac{b x +1}{\sqrt{b}}+\sqrt{b \,x^{2}+2 x}\right)}{8 \sqrt{b x +2}\, b^{\frac{7}{2}} \sqrt{x}}"," ",0,"1/4/b*x^(5/2)*(b*x+2)^(3/2)-5/12/b^2*x^(3/2)*(b*x+2)^(3/2)+5/8/b^3*x^(1/2)*(b*x+2)^(3/2)-5/8*x^(1/2)*(b*x+2)^(1/2)/b^3-5/8/b^(7/2)*(x*(b*x+2))^(1/2)/(b*x+2)^(1/2)/x^(1/2)*ln((b*x+1)/b^(1/2)+(b*x^2+2*x)^(1/2))","A"
506,1,93,59,0.005000," ","int(x^(3/2)*(b*x+2)^(1/2),x)","\frac{\left(b x +2\right)^{\frac{3}{2}} x^{\frac{3}{2}}}{3 b}-\frac{\left(b x +2\right)^{\frac{3}{2}} \sqrt{x}}{2 b^{2}}+\frac{\sqrt{b x +2}\, \sqrt{x}}{2 b^{2}}+\frac{\sqrt{\left(b x +2\right) x}\, \ln \left(\frac{b x +1}{\sqrt{b}}+\sqrt{b \,x^{2}+2 x}\right)}{2 \sqrt{b x +2}\, b^{\frac{5}{2}} \sqrt{x}}"," ",0,"1/3/b*x^(3/2)*(b*x+2)^(3/2)-1/2/b^2*x^(1/2)*(b*x+2)^(3/2)+1/2*x^(1/2)*(b*x+2)^(1/2)/b^2+1/2/b^(5/2)*((b*x+2)*x)^(1/2)/(b*x+2)^(1/2)/x^(1/2)*ln((b*x+1)/b^(1/2)+(b*x^2+2*x)^(1/2))","A"
507,1,75,45,0.004000," ","int(x^(1/2)*(b*x+2)^(1/2),x)","\frac{\sqrt{b x +2}\, x^{\frac{3}{2}}}{2}+\frac{\sqrt{b x +2}\, \sqrt{x}}{2 b}-\frac{\sqrt{\left(b x +2\right) x}\, \ln \left(\frac{b x +1}{\sqrt{b}}+\sqrt{b \,x^{2}+2 x}\right)}{2 \sqrt{b x +2}\, b^{\frac{3}{2}} \sqrt{x}}"," ",0,"1/2*x^(3/2)*(b*x+2)^(1/2)+1/2*x^(1/2)*(b*x+2)^(1/2)/b-1/2/b^(3/2)*((b*x+2)*x)^(1/2)/(b*x+2)^(1/2)/x^(1/2)*ln((b*x+1)/b^(1/2)+(b*x^2+2*x)^(1/2))","A"
508,1,58,29,0.004000," ","int((b*x+2)^(1/2)/x^(1/2),x)","\sqrt{b x +2}\, \sqrt{x}+\frac{\sqrt{\left(b x +2\right) x}\, \ln \left(\frac{b x +1}{\sqrt{b}}+\sqrt{b \,x^{2}+2 x}\right)}{\sqrt{b x +2}\, \sqrt{b}\, \sqrt{x}}"," ",0,"x^(1/2)*(b*x+2)^(1/2)+((b*x+2)*x)^(1/2)/(b*x+2)^(1/2)/x^(1/2)*ln((b*x+1)/b^(1/2)+(b*x^2+2*x)^(1/2))/b^(1/2)","A"
509,1,59,30,0.024000," ","int((b*x+2)^(1/2)/x^(3/2),x)","\frac{\sqrt{\left(b x +2\right) x}\, \sqrt{b}\, \ln \left(\frac{b x +1}{\sqrt{b}}+\sqrt{b \,x^{2}+2 x}\right)}{\sqrt{b x +2}\, \sqrt{x}}-\frac{2 \sqrt{b x +2}}{\sqrt{x}}"," ",0,"-2*(b*x+2)^(1/2)/x^(1/2)+b^(1/2)*ln((b*x+1)/b^(1/2)+(b*x^2+2*x)^(1/2))*((b*x+2)*x)^(1/2)/(b*x+2)^(1/2)/x^(1/2)","A"
510,1,13,12,0.003000," ","int((b*x+2)^(1/2)/x^(5/2),x)","-\frac{\left(b x +2\right)^{\frac{3}{2}}}{3 x^{\frac{3}{2}}}"," ",0,"-1/3*(b*x+2)^(3/2)/x^(3/2)","A"
511,1,18,26,0.004000," ","int((b*x+2)^(1/2)/x^(7/2),x)","\frac{\left(b x +2\right)^{\frac{3}{2}} \left(b x -3\right)}{15 x^{\frac{5}{2}}}"," ",0,"1/15*(b*x+2)^(3/2)*(b*x-3)/x^(5/2)","A"
512,1,27,41,0.003000," ","int((b*x+2)^(1/2)/x^(9/2),x)","-\frac{\left(b x +2\right)^{\frac{3}{2}} \left(2 b^{2} x^{2}-6 b x +15\right)}{105 x^{\frac{7}{2}}}"," ",0,"-1/105*(b*x+2)^(3/2)*(2*b^2*x^2-6*b*x+15)/x^(7/2)","A"
513,1,116,79,0.009000," ","int(x^(5/2)*(-b*x+2)^(1/2),x)","-\frac{\left(-b x +2\right)^{\frac{3}{2}} x^{\frac{5}{2}}}{4 b}-\frac{5 \left(-b x +2\right)^{\frac{3}{2}} x^{\frac{3}{2}}}{12 b^{2}}-\frac{5 \left(-b x +2\right)^{\frac{3}{2}} \sqrt{x}}{8 b^{3}}+\frac{5 \sqrt{-b x +2}\, \sqrt{x}}{8 b^{3}}+\frac{5 \sqrt{\left(-b x +2\right) x}\, \arctan \left(\frac{\left(x -\frac{1}{b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+2 x}}\right)}{8 \sqrt{-b x +2}\, b^{\frac{7}{2}} \sqrt{x}}"," ",0,"-1/4/b*x^(5/2)*(-b*x+2)^(3/2)-5/12/b^2*x^(3/2)*(-b*x+2)^(3/2)-5/8/b^3*x^(1/2)*(-b*x+2)^(3/2)+5/8*x^(1/2)*(-b*x+2)^(1/2)/b^3+5/8/b^(7/2)*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)/x^(1/2)*arctan(b^(1/2)*(x-1/b)/(-b*x^2+2*x)^(1/2))","A"
514,1,100,62,0.005000," ","int(x^(3/2)*(-b*x+2)^(1/2),x)","-\frac{\left(-b x +2\right)^{\frac{3}{2}} x^{\frac{3}{2}}}{3 b}-\frac{\left(-b x +2\right)^{\frac{3}{2}} \sqrt{x}}{2 b^{2}}+\frac{\sqrt{-b x +2}\, \sqrt{x}}{2 b^{2}}+\frac{\sqrt{\left(-b x +2\right) x}\, \arctan \left(\frac{\left(x -\frac{1}{b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+2 x}}\right)}{2 \sqrt{-b x +2}\, b^{\frac{5}{2}} \sqrt{x}}"," ",0,"-1/3/b*x^(3/2)*(-b*x+2)^(3/2)-1/2/b^2*x^(1/2)*(-b*x+2)^(3/2)+1/2*x^(1/2)*(-b*x+2)^(1/2)/b^2+1/2/b^(5/2)*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)/x^(1/2)*arctan((x-1/b)/(-b*x^2+2*x)^(1/2)*b^(1/2))","A"
515,1,81,46,0.005000," ","int(x^(1/2)*(-b*x+2)^(1/2),x)","\frac{\sqrt{-b x +2}\, x^{\frac{3}{2}}}{2}-\frac{\sqrt{-b x +2}\, \sqrt{x}}{2 b}+\frac{\sqrt{\left(-b x +2\right) x}\, \arctan \left(\frac{\left(x -\frac{1}{b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+2 x}}\right)}{2 \sqrt{-b x +2}\, b^{\frac{3}{2}} \sqrt{x}}"," ",0,"1/2*x^(3/2)*(-b*x+2)^(1/2)-1/2*x^(1/2)*(-b*x+2)^(1/2)/b+1/2/b^(3/2)*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)/x^(1/2)*arctan((x-1/b)/(-b*x^2+2*x)^(1/2)*b^(1/2))","A"
516,1,63,30,0.003000," ","int((-b*x+2)^(1/2)/x^(1/2),x)","\sqrt{-b x +2}\, \sqrt{x}+\frac{\sqrt{\left(-b x +2\right) x}\, \arctan \left(\frac{\left(x -\frac{1}{b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+2 x}}\right)}{\sqrt{-b x +2}\, \sqrt{b}\, \sqrt{x}}"," ",0,"x^(1/2)*(-b*x+2)^(1/2)+((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)/x^(1/2)/b^(1/2)*arctan((x-1/b)/(-b*x^2+2*x)^(1/2)*b^(1/2))","B"
517,1,90,31,0.036000," ","int((-b*x+2)^(1/2)/x^(3/2),x)","-\frac{\sqrt{\left(-b x +2\right) x}\, \sqrt{b}\, \arctan \left(\frac{\left(x -\frac{1}{b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+2 x}}\right)}{\sqrt{-b x +2}\, \sqrt{x}}+\frac{2 \left(b x -2\right) \sqrt{\left(-b x +2\right) x}}{\sqrt{-\left(b x -2\right) x}\, \sqrt{-b x +2}\, \sqrt{x}}"," ",0,"2*(b*x-2)/(-x*(b*x-2))^(1/2)*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)/x^(1/2)-b^(1/2)*arctan((x-1/b)/(-b*x^2+2*x)^(1/2)*b^(1/2))*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)/x^(1/2)","B"
518,1,14,13,0.003000," ","int((-b*x+2)^(1/2)/x^(5/2),x)","-\frac{\left(-b x +2\right)^{\frac{3}{2}}}{3 x^{\frac{3}{2}}}"," ",0,"-1/3*(-b*x+2)^(3/2)/x^(3/2)","A"
519,1,19,28,0.004000," ","int((-b*x+2)^(1/2)/x^(7/2),x)","-\frac{\left(b x +3\right) \left(-b x +2\right)^{\frac{3}{2}}}{15 x^{\frac{5}{2}}}"," ",0,"-1/15*(b*x+3)*(-b*x+2)^(3/2)/x^(5/2)","A"
520,1,28,44,0.003000," ","int((-b*x+2)^(1/2)/x^(9/2),x)","-\frac{\left(2 b^{2} x^{2}+6 b x +15\right) \left(-b x +2\right)^{\frac{3}{2}}}{105 x^{\frac{7}{2}}}"," ",0,"-1/105*(2*b^2*x^2+6*b*x+15)*(-b*x+2)^(3/2)/x^(7/2)","A"
521,1,138,103,0.007000," ","int(x^(5/2)*(b*x+a)^(3/2),x)","-\frac{3 \sqrt{\left(b x +a \right) x}\, a^{5} \ln \left(\frac{b x +\frac{a}{2}}{\sqrt{b}}+\sqrt{b \,x^{2}+a x}\right)}{256 \sqrt{b x +a}\, b^{\frac{7}{2}} \sqrt{x}}-\frac{3 \sqrt{b x +a}\, a^{4} \sqrt{x}}{128 b^{3}}+\frac{\left(b x +a \right)^{\frac{5}{2}} x^{\frac{5}{2}}}{5 b}-\frac{\left(b x +a \right)^{\frac{3}{2}} a^{3} \sqrt{x}}{64 b^{3}}-\frac{\left(b x +a \right)^{\frac{5}{2}} a \,x^{\frac{3}{2}}}{8 b^{2}}+\frac{\left(b x +a \right)^{\frac{5}{2}} a^{2} \sqrt{x}}{16 b^{3}}"," ",0,"1/5/b*x^(5/2)*(b*x+a)^(5/2)-1/8*a/b^2*x^(3/2)*(b*x+a)^(5/2)+1/16*a^2/b^3*x^(1/2)*(b*x+a)^(5/2)-1/64*a^3/b^3*(b*x+a)^(3/2)*x^(1/2)-3/128*a^4*x^(1/2)*(b*x+a)^(1/2)/b^3-3/256*a^5/b^(7/2)*((b*x+a)*x)^(1/2)/(b*x+a)^(1/2)/x^(1/2)*ln((b*x+1/2*a)/b^(1/2)+(b*x^2+a*x)^(1/2))","A"
522,1,120,85,0.006000," ","int(x^(3/2)*(b*x+a)^(3/2),x)","\frac{3 \sqrt{\left(b x +a \right) x}\, a^{4} \ln \left(\frac{b x +\frac{a}{2}}{\sqrt{b}}+\sqrt{b \,x^{2}+a x}\right)}{128 \sqrt{b x +a}\, b^{\frac{5}{2}} \sqrt{x}}+\frac{3 \sqrt{b x +a}\, a^{3} \sqrt{x}}{64 b^{2}}+\frac{\left(b x +a \right)^{\frac{3}{2}} a^{2} \sqrt{x}}{32 b^{2}}+\frac{\left(b x +a \right)^{\frac{5}{2}} x^{\frac{3}{2}}}{4 b}-\frac{\left(b x +a \right)^{\frac{5}{2}} a \sqrt{x}}{8 b^{2}}"," ",0,"1/4/b*x^(3/2)*(b*x+a)^(5/2)-1/8*a/b^2*x^(1/2)*(b*x+a)^(5/2)+1/32*a^2/b^2*(b*x+a)^(3/2)*x^(1/2)+3/64*a^3*x^(1/2)*(b*x+a)^(1/2)/b^2+3/128*a^4/b^(5/2)*((b*x+a)*x)^(1/2)/(b*x+a)^(1/2)/x^(1/2)*ln((b*x+1/2*a)/b^(1/2)+(b*x^2+a*x)^(1/2))","A"
523,1,96,67,0.006000," ","int((b*x+a)^(3/2)*x^(1/2),x)","\frac{\sqrt{b x +a}\, a \,x^{\frac{3}{2}}}{4}-\frac{\sqrt{\left(b x +a \right) x}\, a^{3} \ln \left(\frac{b x +\frac{a}{2}}{\sqrt{b}}+\sqrt{b \,x^{2}+a x}\right)}{16 \sqrt{b x +a}\, b^{\frac{3}{2}} \sqrt{x}}+\frac{\sqrt{b x +a}\, a^{2} \sqrt{x}}{8 b}+\frac{\left(b x +a \right)^{\frac{3}{2}} x^{\frac{3}{2}}}{3}"," ",0,"1/3*x^(3/2)*(b*x+a)^(3/2)+1/4*a*x^(3/2)*(b*x+a)^(1/2)+1/8*a^2*x^(1/2)*(b*x+a)^(1/2)/b-1/16*a^3/b^(3/2)*((b*x+a)*x)^(1/2)/x^(1/2)/(b*x+a)^(1/2)*ln((b*x+1/2*a)/b^(1/2)+(b*x^2+a*x)^(1/2))","A"
524,1,78,49,0.006000," ","int((b*x+a)^(3/2)/x^(1/2),x)","\frac{3 \sqrt{\left(b x +a \right) x}\, a^{2} \ln \left(\frac{b x +\frac{a}{2}}{\sqrt{b}}+\sqrt{b \,x^{2}+a x}\right)}{8 \sqrt{b x +a}\, \sqrt{b}\, \sqrt{x}}+\frac{3 \sqrt{b x +a}\, a \sqrt{x}}{4}+\frac{\left(b x +a \right)^{\frac{3}{2}} \sqrt{x}}{2}"," ",0,"1/2*(b*x+a)^(3/2)*x^(1/2)+3/4*a*x^(1/2)*(b*x+a)^(1/2)+3/8*a^2*((b*x+a)*x)^(1/2)/(b*x+a)^(1/2)/x^(1/2)*ln((b*x+1/2*a)/b^(1/2)+(b*x^2+a*x)^(1/2))/b^(1/2)","A"
525,1,71,47,0.018000," ","int((b*x+a)^(3/2)/x^(3/2),x)","\frac{3 \sqrt{\left(b x +a \right) x}\, a \sqrt{b}\, \ln \left(\frac{b x +\frac{a}{2}}{\sqrt{b}}+\sqrt{b \,x^{2}+a x}\right)}{2 \sqrt{b x +a}\, \sqrt{x}}-\frac{\sqrt{b x +a}\, \left(-b x +2 a \right)}{\sqrt{x}}"," ",0,"-(b*x+a)^(1/2)*(-b*x+2*a)/x^(1/2)+3/2*a*b^(1/2)*ln((b*x+1/2*a)/b^(1/2)+(b*x^2+a*x)^(1/2))*((b*x+a)*x)^(1/2)/(b*x+a)^(1/2)/x^(1/2)","A"
526,1,67,46,0.019000," ","int((b*x+a)^(3/2)/x^(5/2),x)","\frac{\sqrt{\left(b x +a \right) x}\, b^{\frac{3}{2}} \ln \left(\frac{b x +\frac{a}{2}}{\sqrt{b}}+\sqrt{b \,x^{2}+a x}\right)}{\sqrt{b x +a}\, \sqrt{x}}-\frac{2 \sqrt{b x +a}\, \left(4 b x +a \right)}{3 x^{\frac{3}{2}}}"," ",0,"-2/3*(b*x+a)^(1/2)*(4*b*x+a)/x^(3/2)+b^(3/2)*ln((b*x+1/2*a)/b^(1/2)+(b*x^2+a*x)^(1/2))*((b*x+a)*x)^(1/2)/(b*x+a)^(1/2)/x^(1/2)","A"
527,1,146,109,0.007000," ","int(x^(5/2)*(-b*x+a)^(3/2),x)","\frac{3 \sqrt{\left(-b x +a \right) x}\, a^{5} \arctan \left(\frac{\left(x -\frac{a}{2 b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+a x}}\right)}{256 \sqrt{-b x +a}\, b^{\frac{7}{2}} \sqrt{x}}+\frac{3 \sqrt{-b x +a}\, a^{4} \sqrt{x}}{128 b^{3}}-\frac{\left(-b x +a \right)^{\frac{5}{2}} x^{\frac{5}{2}}}{5 b}+\frac{\left(-b x +a \right)^{\frac{3}{2}} a^{3} \sqrt{x}}{64 b^{3}}-\frac{\left(-b x +a \right)^{\frac{5}{2}} a \,x^{\frac{3}{2}}}{8 b^{2}}-\frac{\left(-b x +a \right)^{\frac{5}{2}} a^{2} \sqrt{x}}{16 b^{3}}"," ",0,"-1/5/b*x^(5/2)*(-b*x+a)^(5/2)-1/8*a/b^2*x^(3/2)*(-b*x+a)^(5/2)-1/16*a^2/b^3*x^(1/2)*(-b*x+a)^(5/2)+1/64*a^3/b^3*(-b*x+a)^(3/2)*x^(1/2)+3/128*a^4*x^(1/2)*(-b*x+a)^(1/2)/b^3+3/256*a^5/b^(7/2)*((-b*x+a)*x)^(1/2)/(-b*x+a)^(1/2)/x^(1/2)*arctan((x-1/2*a/b)/(-b*x^2+a*x)^(1/2)*b^(1/2))","A"
528,1,127,90,0.006000," ","int(x^(3/2)*(-b*x+a)^(3/2),x)","\frac{3 \sqrt{\left(-b x +a \right) x}\, a^{4} \arctan \left(\frac{\left(x -\frac{a}{2 b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+a x}}\right)}{128 \sqrt{-b x +a}\, b^{\frac{5}{2}} \sqrt{x}}+\frac{3 \sqrt{-b x +a}\, a^{3} \sqrt{x}}{64 b^{2}}+\frac{\left(-b x +a \right)^{\frac{3}{2}} a^{2} \sqrt{x}}{32 b^{2}}-\frac{\left(-b x +a \right)^{\frac{5}{2}} x^{\frac{3}{2}}}{4 b}-\frac{\left(-b x +a \right)^{\frac{5}{2}} a \sqrt{x}}{8 b^{2}}"," ",0,"-1/4/b*x^(3/2)*(-b*x+a)^(5/2)-1/8*a/b^2*x^(1/2)*(-b*x+a)^(5/2)+1/32*a^2/b^2*(-b*x+a)^(3/2)*x^(1/2)+3/64*a^3*x^(1/2)*(-b*x+a)^(1/2)/b^2+3/128*a^4/b^(5/2)*((-b*x+a)*x)^(1/2)/(-b*x+a)^(1/2)/x^(1/2)*arctan((x-1/2*a/b)/(-b*x^2+a*x)^(1/2)*b^(1/2))","A"
529,1,102,71,0.007000," ","int((-b*x+a)^(3/2)*x^(1/2),x)","\frac{\sqrt{-b x +a}\, a \,x^{\frac{3}{2}}}{4}+\frac{\sqrt{\left(-b x +a \right) x}\, a^{3} \arctan \left(\frac{\left(x -\frac{a}{2 b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+a x}}\right)}{16 \sqrt{-b x +a}\, b^{\frac{3}{2}} \sqrt{x}}-\frac{\sqrt{-b x +a}\, a^{2} \sqrt{x}}{8 b}+\frac{\left(-b x +a \right)^{\frac{3}{2}} x^{\frac{3}{2}}}{3}"," ",0,"1/3*x^(3/2)*(-b*x+a)^(3/2)+1/4*a*x^(3/2)*(-b*x+a)^(1/2)-1/8*a^2*x^(1/2)*(-b*x+a)^(1/2)/b+1/16*a^3/b^(3/2)*((-b*x+a)*x)^(1/2)/x^(1/2)/(-b*x+a)^(1/2)*arctan((x-1/2*a/b)/(-b*x^2+a*x)^(1/2)*b^(1/2))","A"
530,1,83,52,0.005000," ","int((-b*x+a)^(3/2)/x^(1/2),x)","\frac{3 \sqrt{\left(-b x +a \right) x}\, a^{2} \arctan \left(\frac{\left(x -\frac{a}{2 b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+a x}}\right)}{8 \sqrt{-b x +a}\, \sqrt{b}\, \sqrt{x}}+\frac{3 \sqrt{-b x +a}\, a \sqrt{x}}{4}+\frac{\left(-b x +a \right)^{\frac{3}{2}} \sqrt{x}}{2}"," ",0,"1/2*(-b*x+a)^(3/2)*x^(1/2)+3/4*a*x^(1/2)*(-b*x+a)^(1/2)+3/8*a^2*((-b*x+a)*x)^(1/2)/(-b*x+a)^(1/2)/x^(1/2)/b^(1/2)*arctan((x-1/2*a/b)/(-b*x^2+a*x)^(1/2)*b^(1/2))","A"
531,0,0,50,0.025000," ","int((-b*x+a)^(3/2)/x^(3/2),x)","\int \frac{\left(-b x +a \right)^{\frac{3}{2}}}{x^{\frac{3}{2}}}\, dx"," ",0,"int((-b*x+a)^(3/2)/x^(3/2),x)","F"
532,0,0,49,0.029000," ","int((-b*x+a)^(3/2)/x^(5/2),x)","\int \frac{\left(-b x +a \right)^{\frac{3}{2}}}{x^{\frac{5}{2}}}\, dx"," ",0,"int((-b*x+a)^(3/2)/x^(5/2),x)","F"
533,1,123,87,0.006000," ","int(x^(5/2)*(b*x+2)^(3/2),x)","\frac{\left(b x +2\right)^{\frac{5}{2}} x^{\frac{5}{2}}}{5 b}-\frac{\left(b x +2\right)^{\frac{5}{2}} x^{\frac{3}{2}}}{4 b^{2}}+\frac{\left(b x +2\right)^{\frac{5}{2}} \sqrt{x}}{4 b^{3}}-\frac{\left(b x +2\right)^{\frac{3}{2}} \sqrt{x}}{8 b^{3}}-\frac{3 \sqrt{b x +2}\, \sqrt{x}}{8 b^{3}}-\frac{3 \sqrt{\left(b x +2\right) x}\, \ln \left(\frac{b x +1}{\sqrt{b}}+\sqrt{b \,x^{2}+2 x}\right)}{8 \sqrt{b x +2}\, b^{\frac{7}{2}} \sqrt{x}}"," ",0,"1/5/b*x^(5/2)*(b*x+2)^(5/2)-1/4/b^2*x^(3/2)*(b*x+2)^(5/2)+1/4/b^3*x^(1/2)*(b*x+2)^(5/2)-1/8*(b*x+2)^(3/2)/b^3*x^(1/2)-3/8*(b*x+2)^(1/2)/b^3*x^(1/2)-3/8*((b*x+2)*x)^(1/2)/(b*x+2)^(1/2)/b^(7/2)/x^(1/2)*ln((b*x+1)/b^(1/2)+(b*x^2+2*x)^(1/2))","A"
534,1,108,72,0.004000," ","int(x^(3/2)*(b*x+2)^(3/2),x)","\frac{\left(b x +2\right)^{\frac{5}{2}} x^{\frac{3}{2}}}{4 b}-\frac{\left(b x +2\right)^{\frac{5}{2}} \sqrt{x}}{4 b^{2}}+\frac{\left(b x +2\right)^{\frac{3}{2}} \sqrt{x}}{8 b^{2}}+\frac{3 \sqrt{b x +2}\, \sqrt{x}}{8 b^{2}}+\frac{3 \sqrt{\left(b x +2\right) x}\, \ln \left(\frac{b x +1}{\sqrt{b}}+\sqrt{b \,x^{2}+2 x}\right)}{8 \sqrt{b x +2}\, b^{\frac{5}{2}} \sqrt{x}}"," ",0,"1/4/b*x^(3/2)*(b*x+2)^(5/2)-1/4/b^2*x^(1/2)*(b*x+2)^(5/2)+1/8*(b*x+2)^(3/2)/b^2*x^(1/2)+3/8*(b*x+2)^(1/2)/b^2*x^(1/2)+3/8*((b*x+2)*x)^(1/2)/(b*x+2)^(1/2)/b^(5/2)/x^(1/2)*ln((b*x+1)/b^(1/2)+(b*x^2+2*x)^(1/2))","A"
535,1,87,57,0.004000," ","int((b*x+2)^(3/2)*x^(1/2),x)","\frac{\left(b x +2\right)^{\frac{3}{2}} x^{\frac{3}{2}}}{3}+\frac{\sqrt{b x +2}\, x^{\frac{3}{2}}}{2}+\frac{\sqrt{b x +2}\, \sqrt{x}}{2 b}-\frac{\sqrt{\left(b x +2\right) x}\, \ln \left(\frac{b x +1}{\sqrt{b}}+\sqrt{b \,x^{2}+2 x}\right)}{2 \sqrt{b x +2}\, b^{\frac{3}{2}} \sqrt{x}}"," ",0,"1/3*x^(3/2)*(b*x+2)^(3/2)+1/2*(b*x+2)^(1/2)*x^(3/2)+1/2*(b*x+2)^(1/2)/b*x^(1/2)-1/2*((b*x+2)*x)^(1/2)/(b*x+2)^(1/2)/b^(3/2)/x^(1/2)*ln((b*x+1)/b^(1/2)+(b*x^2+2*x)^(1/2))","A"
536,1,72,42,0.005000," ","int((b*x+2)^(3/2)/x^(1/2),x)","\frac{\left(b x +2\right)^{\frac{3}{2}} \sqrt{x}}{2}+\frac{3 \sqrt{b x +2}\, \sqrt{x}}{2}+\frac{3 \sqrt{\left(b x +2\right) x}\, \ln \left(\frac{b x +1}{\sqrt{b}}+\sqrt{b \,x^{2}+2 x}\right)}{2 \sqrt{b x +2}\, \sqrt{b}\, \sqrt{x}}"," ",0,"1/2*(b*x+2)^(3/2)*x^(1/2)+3/2*(b*x+2)^(1/2)*x^(1/2)+3/2*((b*x+2)*x)^(1/2)/(b*x+2)^(1/2)/b^(1/2)/x^(1/2)*ln((b*x+1)/b^(1/2)+(b*x^2+2*x)^(1/2))","A"
537,1,72,43,0.018000," ","int((b*x+2)^(3/2)/x^(3/2),x)","\frac{3 \sqrt{\left(b x +2\right) x}\, \sqrt{b}\, \ln \left(\frac{b x +1}{\sqrt{b}}+\sqrt{b \,x^{2}+2 x}\right)}{\sqrt{b x +2}\, \sqrt{x}}+\frac{b^{2} x^{2}-2 b x -8}{\sqrt{b x +2}\, \sqrt{x}}"," ",0,"(b^2*x^2-2*b*x-8)/(b*x+2)^(1/2)/x^(1/2)+3*((b*x+2)*x)^(1/2)/(b*x+2)^(1/2)*b^(1/2)/x^(1/2)*ln((b*x+1)/b^(1/2)+(b*x^2+2*x)^(1/2))","A"
538,1,73,43,0.017000," ","int((b*x+2)^(3/2)/x^(5/2),x)","\frac{\sqrt{\left(b x +2\right) x}\, b^{\frac{3}{2}} \ln \left(\frac{b x +1}{\sqrt{b}}+\sqrt{b \,x^{2}+2 x}\right)}{\sqrt{b x +2}\, \sqrt{x}}-\frac{4 \left(2 b^{2} x^{2}+5 b x +2\right)}{3 \sqrt{b x +2}\, x^{\frac{3}{2}}}"," ",0,"-4/3*(2*b^2*x^2+5*b*x+2)/x^(3/2)/(b*x+2)^(1/2)+b^(3/2)*ln((b*x+1)/b^(1/2)+(b*x^2+2*x)^(1/2))*((b*x+2)*x)^(1/2)/(b*x+2)^(1/2)/x^(1/2)","A"
539,1,132,92,0.006000," ","int(x^(5/2)*(-b*x+2)^(3/2),x)","-\frac{\left(-b x +2\right)^{\frac{5}{2}} x^{\frac{5}{2}}}{5 b}-\frac{\left(-b x +2\right)^{\frac{5}{2}} x^{\frac{3}{2}}}{4 b^{2}}-\frac{\left(-b x +2\right)^{\frac{5}{2}} \sqrt{x}}{4 b^{3}}+\frac{\left(-b x +2\right)^{\frac{3}{2}} \sqrt{x}}{8 b^{3}}+\frac{3 \sqrt{-b x +2}\, \sqrt{x}}{8 b^{3}}+\frac{3 \sqrt{\left(-b x +2\right) x}\, \arctan \left(\frac{\left(x -\frac{1}{b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+2 x}}\right)}{8 \sqrt{-b x +2}\, b^{\frac{7}{2}} \sqrt{x}}"," ",0,"-1/5/b*x^(5/2)*(-b*x+2)^(5/2)-1/4/b^2*x^(3/2)*(-b*x+2)^(5/2)-1/4/b^3*x^(1/2)*(-b*x+2)^(5/2)+1/8*(-b*x+2)^(3/2)/b^3*x^(1/2)+3/8*(-b*x+2)^(1/2)/b^3*x^(1/2)+3/8*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)/b^(7/2)/x^(1/2)*arctan((x-1/b)/(-b*x^2+2*x)^(1/2)*b^(1/2))","A"
540,1,116,76,0.006000," ","int(x^(3/2)*(-b*x+2)^(3/2),x)","-\frac{\left(-b x +2\right)^{\frac{5}{2}} x^{\frac{3}{2}}}{4 b}-\frac{\left(-b x +2\right)^{\frac{5}{2}} \sqrt{x}}{4 b^{2}}+\frac{\left(-b x +2\right)^{\frac{3}{2}} \sqrt{x}}{8 b^{2}}+\frac{3 \sqrt{-b x +2}\, \sqrt{x}}{8 b^{2}}+\frac{3 \sqrt{\left(-b x +2\right) x}\, \arctan \left(\frac{\left(x -\frac{1}{b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+2 x}}\right)}{8 \sqrt{-b x +2}\, b^{\frac{5}{2}} \sqrt{x}}"," ",0,"-1/4/b*x^(3/2)*(-b*x+2)^(5/2)-1/4/b^2*x^(1/2)*(-b*x+2)^(5/2)+1/8*(-b*x+2)^(3/2)/b^2*x^(1/2)+3/8*(-b*x+2)^(1/2)/b^2*x^(1/2)+3/8*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)/b^(5/2)/x^(1/2)*arctan((x-1/b)/(-b*x^2+2*x)^(1/2)*b^(1/2))","A"
541,1,94,59,0.004000," ","int((-b*x+2)^(3/2)*x^(1/2),x)","\frac{\left(-b x +2\right)^{\frac{3}{2}} x^{\frac{3}{2}}}{3}+\frac{\sqrt{-b x +2}\, x^{\frac{3}{2}}}{2}-\frac{\sqrt{-b x +2}\, \sqrt{x}}{2 b}+\frac{\sqrt{\left(-b x +2\right) x}\, \arctan \left(\frac{\left(x -\frac{1}{b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+2 x}}\right)}{2 \sqrt{-b x +2}\, b^{\frac{3}{2}} \sqrt{x}}"," ",0,"1/3*x^(3/2)*(-b*x+2)^(3/2)+1/2*(-b*x+2)^(1/2)*x^(3/2)-1/2*(-b*x+2)^(1/2)/b*x^(1/2)+1/2*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)/b^(3/2)/x^(1/2)*arctan((x-1/b)/(-b*x^2+2*x)^(1/2)*b^(1/2))","A"
542,1,78,44,0.004000," ","int((-b*x+2)^(3/2)/x^(1/2),x)","\frac{\left(-b x +2\right)^{\frac{3}{2}} \sqrt{x}}{2}+\frac{3 \sqrt{-b x +2}\, \sqrt{x}}{2}+\frac{3 \sqrt{\left(-b x +2\right) x}\, \arctan \left(\frac{\left(x -\frac{1}{b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+2 x}}\right)}{2 \sqrt{-b x +2}\, \sqrt{b}\, \sqrt{x}}"," ",0,"1/2*(-b*x+2)^(3/2)*x^(1/2)+3/2*(-b*x+2)^(1/2)*x^(1/2)+3/2*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)/b^(1/2)/x^(1/2)*arctan((x-1/b)/(-b*x^2+2*x)^(1/2)*b^(1/2))","A"
543,1,97,45,0.020000," ","int((-b*x+2)^(3/2)/x^(3/2),x)","-\frac{3 \sqrt{\left(-b x +2\right) x}\, \sqrt{b}\, \arctan \left(\frac{\left(x -\frac{1}{b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+2 x}}\right)}{\sqrt{-b x +2}\, \sqrt{x}}+\frac{\left(b^{2} x^{2}+2 b x -8\right) \sqrt{\left(-b x +2\right) x}}{\sqrt{-\left(b x -2\right) x}\, \sqrt{-b x +2}\, \sqrt{x}}"," ",0,"(b^2*x^2+2*b*x-8)/(-(b*x-2)*x)^(1/2)*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)/x^(1/2)-3*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)*b^(1/2)/x^(1/2)*arctan((x-1/b)/(-b*x^2+2*x)^(1/2)*b^(1/2))","B"
544,1,98,45,0.022000," ","int((-b*x+2)^(3/2)/x^(5/2),x)","\frac{\sqrt{\left(-b x +2\right) x}\, b^{\frac{3}{2}} \arctan \left(\frac{\left(x -\frac{1}{b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+2 x}}\right)}{\sqrt{-b x +2}\, \sqrt{x}}-\frac{4 \left(2 b^{2} x^{2}-5 b x +2\right) \sqrt{\left(-b x +2\right) x}}{3 \sqrt{-\left(b x -2\right) x}\, \sqrt{-b x +2}\, x^{\frac{3}{2}}}"," ",0,"-4/3*(2*b^2*x^2-5*b*x+2)/x^(3/2)/(-(b*x-2)*x)^(1/2)*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)+b^(3/2)*arctan((x-1/b)/(-b*x^2+2*x)^(1/2)*b^(1/2))*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)/x^(1/2)","B"
545,1,156,118,0.005000," ","int(x^(5/2)*(b*x+a)^(5/2),x)","-\frac{5 \sqrt{\left(b x +a \right) x}\, a^{6} \ln \left(\frac{b x +\frac{a}{2}}{\sqrt{b}}+\sqrt{b \,x^{2}+a x}\right)}{1024 \sqrt{b x +a}\, b^{\frac{7}{2}} \sqrt{x}}-\frac{5 \sqrt{b x +a}\, a^{5} \sqrt{x}}{512 b^{3}}-\frac{5 \left(b x +a \right)^{\frac{3}{2}} a^{4} \sqrt{x}}{768 b^{3}}+\frac{\left(b x +a \right)^{\frac{7}{2}} x^{\frac{5}{2}}}{6 b}-\frac{\left(b x +a \right)^{\frac{5}{2}} a^{3} \sqrt{x}}{192 b^{3}}-\frac{\left(b x +a \right)^{\frac{7}{2}} a \,x^{\frac{3}{2}}}{12 b^{2}}+\frac{\left(b x +a \right)^{\frac{7}{2}} a^{2} \sqrt{x}}{32 b^{3}}"," ",0,"1/6/b*x^(5/2)*(b*x+a)^(7/2)-1/12*a/b^2*x^(3/2)*(b*x+a)^(7/2)+1/32*a^2/b^3*x^(1/2)*(b*x+a)^(7/2)-1/192*a^3/b^3*(b*x+a)^(5/2)*x^(1/2)-5/768*a^4/b^3*(b*x+a)^(3/2)*x^(1/2)-5/512*a^5*x^(1/2)*(b*x+a)^(1/2)/b^3-5/1024*a^6/b^(7/2)*((b*x+a)*x)^(1/2)/(b*x+a)^(1/2)/x^(1/2)*ln((b*x+1/2*a)/b^(1/2)+(b*x^2+a*x)^(1/2))","A"
546,1,138,100,0.006000," ","int(x^(3/2)*(b*x+a)^(5/2),x)","\frac{3 \sqrt{\left(b x +a \right) x}\, a^{5} \ln \left(\frac{b x +\frac{a}{2}}{\sqrt{b}}+\sqrt{b \,x^{2}+a x}\right)}{256 \sqrt{b x +a}\, b^{\frac{5}{2}} \sqrt{x}}+\frac{3 \sqrt{b x +a}\, a^{4} \sqrt{x}}{128 b^{2}}+\frac{\left(b x +a \right)^{\frac{3}{2}} a^{3} \sqrt{x}}{64 b^{2}}+\frac{\left(b x +a \right)^{\frac{5}{2}} a^{2} \sqrt{x}}{80 b^{2}}+\frac{\left(b x +a \right)^{\frac{7}{2}} x^{\frac{3}{2}}}{5 b}-\frac{3 \left(b x +a \right)^{\frac{7}{2}} a \sqrt{x}}{40 b^{2}}"," ",0,"1/5/b*x^(3/2)*(b*x+a)^(7/2)-3/40*a/b^2*x^(1/2)*(b*x+a)^(7/2)+1/80*a^2/b^2*(b*x+a)^(5/2)*x^(1/2)+1/64*a^3/b^2*(b*x+a)^(3/2)*x^(1/2)+3/128*a^4*x^(1/2)*(b*x+a)^(1/2)/b^2+3/256*a^5/b^(5/2)*((b*x+a)*x)^(1/2)/(b*x+a)^(1/2)/x^(1/2)*ln((b*x+1/2*a)/b^(1/2)+(b*x^2+a*x)^(1/2))","A"
547,1,111,82,0.006000," ","int((b*x+a)^(5/2)*x^(1/2),x)","\frac{5 \sqrt{b x +a}\, a^{2} x^{\frac{3}{2}}}{32}-\frac{5 \sqrt{\left(b x +a \right) x}\, a^{4} \ln \left(\frac{b x +\frac{a}{2}}{\sqrt{b}}+\sqrt{b \,x^{2}+a x}\right)}{128 \sqrt{b x +a}\, b^{\frac{3}{2}} \sqrt{x}}+\frac{5 \sqrt{b x +a}\, a^{3} \sqrt{x}}{64 b}+\frac{5 \left(b x +a \right)^{\frac{3}{2}} a \,x^{\frac{3}{2}}}{24}+\frac{\left(b x +a \right)^{\frac{5}{2}} x^{\frac{3}{2}}}{4}"," ",0,"1/4*x^(3/2)*(b*x+a)^(5/2)+5/24*a*x^(3/2)*(b*x+a)^(3/2)+5/32*a^2*x^(3/2)*(b*x+a)^(1/2)+5/64*a^3*x^(1/2)*(b*x+a)^(1/2)/b-5/128*a^4/b^(3/2)*((b*x+a)*x)^(1/2)/x^(1/2)/(b*x+a)^(1/2)*ln((b*x+1/2*a)/b^(1/2)+(b*x^2+a*x)^(1/2))","A"
548,1,93,64,0.006000," ","int((b*x+a)^(5/2)/x^(1/2),x)","\frac{5 \sqrt{\left(b x +a \right) x}\, a^{3} \ln \left(\frac{b x +\frac{a}{2}}{\sqrt{b}}+\sqrt{b \,x^{2}+a x}\right)}{16 \sqrt{b x +a}\, \sqrt{b}\, \sqrt{x}}+\frac{5 \sqrt{b x +a}\, a^{2} \sqrt{x}}{8}+\frac{5 \left(b x +a \right)^{\frac{3}{2}} a \sqrt{x}}{12}+\frac{\left(b x +a \right)^{\frac{5}{2}} \sqrt{x}}{3}"," ",0,"1/3*(b*x+a)^(5/2)*x^(1/2)+5/12*a*(b*x+a)^(3/2)*x^(1/2)+5/8*a^2*x^(1/2)*(b*x+a)^(1/2)+5/16*a^3*((b*x+a)*x)^(1/2)/(b*x+a)^(1/2)/x^(1/2)*ln((b*x+1/2*a)/b^(1/2)+(b*x^2+a*x)^(1/2))/b^(1/2)","A"
549,1,84,63,0.018000," ","int((b*x+a)^(5/2)/x^(3/2),x)","\frac{15 \sqrt{\left(b x +a \right) x}\, a^{2} \sqrt{b}\, \ln \left(\frac{b x +\frac{a}{2}}{\sqrt{b}}+\sqrt{b \,x^{2}+a x}\right)}{8 \sqrt{b x +a}\, \sqrt{x}}-\frac{\sqrt{b x +a}\, \left(-2 b^{2} x^{2}-9 a b x +8 a^{2}\right)}{4 \sqrt{x}}"," ",0,"-1/4*(b*x+a)^(1/2)*(-2*b^2*x^2-9*a*b*x+8*a^2)/x^(1/2)+15/8*a^2*b^(1/2)*ln((b*x+1/2*a)/b^(1/2)+(b*x^2+a*x)^(1/2))*((b*x+a)*x)^(1/2)/(b*x+a)^(1/2)/x^(1/2)","A"
550,1,82,62,0.020000," ","int((b*x+a)^(5/2)/x^(5/2),x)","\frac{5 \sqrt{\left(b x +a \right) x}\, a \,b^{\frac{3}{2}} \ln \left(\frac{b x +\frac{a}{2}}{\sqrt{b}}+\sqrt{b \,x^{2}+a x}\right)}{2 \sqrt{b x +a}\, \sqrt{x}}-\frac{\sqrt{b x +a}\, \left(-3 b^{2} x^{2}+14 a b x +2 a^{2}\right)}{3 x^{\frac{3}{2}}}"," ",0,"-1/3*(b*x+a)^(1/2)*(-3*b^2*x^2+14*a*b*x+2*a^2)/x^(3/2)+5/2*a*b^(3/2)*ln((b*x+1/2*a)/b^(1/2)+(b*x^2+a*x)^(1/2))*((b*x+a)*x)^(1/2)/(b*x+a)^(1/2)/x^(1/2)","A"
551,1,165,125,0.007000," ","int(x^(5/2)*(-b*x+a)^(5/2),x)","\frac{5 \sqrt{\left(-b x +a \right) x}\, a^{6} \arctan \left(\frac{\left(x -\frac{a}{2 b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+a x}}\right)}{1024 \sqrt{-b x +a}\, b^{\frac{7}{2}} \sqrt{x}}+\frac{5 \sqrt{-b x +a}\, a^{5} \sqrt{x}}{512 b^{3}}+\frac{5 \left(-b x +a \right)^{\frac{3}{2}} a^{4} \sqrt{x}}{768 b^{3}}-\frac{\left(-b x +a \right)^{\frac{7}{2}} x^{\frac{5}{2}}}{6 b}+\frac{\left(-b x +a \right)^{\frac{5}{2}} a^{3} \sqrt{x}}{192 b^{3}}-\frac{\left(-b x +a \right)^{\frac{7}{2}} a \,x^{\frac{3}{2}}}{12 b^{2}}-\frac{\left(-b x +a \right)^{\frac{7}{2}} a^{2} \sqrt{x}}{32 b^{3}}"," ",0,"-1/6/b*x^(5/2)*(-b*x+a)^(7/2)-1/12*a/b^2*x^(3/2)*(-b*x+a)^(7/2)-1/32*a^2/b^3*x^(1/2)*(-b*x+a)^(7/2)+1/192*a^3/b^3*(-b*x+a)^(5/2)*x^(1/2)+5/768*a^4/b^3*(-b*x+a)^(3/2)*x^(1/2)+5/512*a^5*x^(1/2)*(-b*x+a)^(1/2)/b^3+5/1024*a^6/b^(7/2)*((-b*x+a)*x)^(1/2)/(-b*x+a)^(1/2)/x^(1/2)*arctan((x-1/2*a/b)/(-b*x^2+a*x)^(1/2)*b^(1/2))","A"
552,1,146,106,0.006000," ","int(x^(3/2)*(-b*x+a)^(5/2),x)","\frac{3 \sqrt{\left(-b x +a \right) x}\, a^{5} \arctan \left(\frac{\left(x -\frac{a}{2 b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+a x}}\right)}{256 \sqrt{-b x +a}\, b^{\frac{5}{2}} \sqrt{x}}+\frac{3 \sqrt{-b x +a}\, a^{4} \sqrt{x}}{128 b^{2}}+\frac{\left(-b x +a \right)^{\frac{3}{2}} a^{3} \sqrt{x}}{64 b^{2}}+\frac{\left(-b x +a \right)^{\frac{5}{2}} a^{2} \sqrt{x}}{80 b^{2}}-\frac{\left(-b x +a \right)^{\frac{7}{2}} x^{\frac{3}{2}}}{5 b}-\frac{3 \left(-b x +a \right)^{\frac{7}{2}} a \sqrt{x}}{40 b^{2}}"," ",0,"-1/5/b*x^(3/2)*(-b*x+a)^(7/2)-3/40*a/b^2*x^(1/2)*(-b*x+a)^(7/2)+1/80*a^2/b^2*(-b*x+a)^(5/2)*x^(1/2)+1/64*a^3/b^2*(-b*x+a)^(3/2)*x^(1/2)+3/128*a^4*x^(1/2)*(-b*x+a)^(1/2)/b^2+3/256*a^5/b^(5/2)*((-b*x+a)*x)^(1/2)/(-b*x+a)^(1/2)/x^(1/2)*arctan((x-1/2*a/b)/(-b*x^2+a*x)^(1/2)*b^(1/2))","A"
553,1,118,87,0.007000," ","int((-b*x+a)^(5/2)*x^(1/2),x)","\frac{5 \sqrt{-b x +a}\, a^{2} x^{\frac{3}{2}}}{32}+\frac{5 \sqrt{\left(-b x +a \right) x}\, a^{4} \arctan \left(\frac{\left(x -\frac{a}{2 b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+a x}}\right)}{128 \sqrt{-b x +a}\, b^{\frac{3}{2}} \sqrt{x}}-\frac{5 \sqrt{-b x +a}\, a^{3} \sqrt{x}}{64 b}+\frac{5 \left(-b x +a \right)^{\frac{3}{2}} a \,x^{\frac{3}{2}}}{24}+\frac{\left(-b x +a \right)^{\frac{5}{2}} x^{\frac{3}{2}}}{4}"," ",0,"1/4*x^(3/2)*(-b*x+a)^(5/2)+5/24*a*x^(3/2)*(-b*x+a)^(3/2)+5/32*a^2*x^(3/2)*(-b*x+a)^(1/2)-5/64*a^3*x^(1/2)*(-b*x+a)^(1/2)/b+5/128*a^4/b^(3/2)*((-b*x+a)*x)^(1/2)/x^(1/2)/(-b*x+a)^(1/2)*arctan((x-1/2*a/b)/(-b*x^2+a*x)^(1/2)*b^(1/2))","A"
554,1,99,68,0.005000," ","int((-b*x+a)^(5/2)/x^(1/2),x)","\frac{5 \sqrt{\left(-b x +a \right) x}\, a^{3} \arctan \left(\frac{\left(x -\frac{a}{2 b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+a x}}\right)}{16 \sqrt{-b x +a}\, \sqrt{b}\, \sqrt{x}}+\frac{5 \sqrt{-b x +a}\, a^{2} \sqrt{x}}{8}+\frac{5 \left(-b x +a \right)^{\frac{3}{2}} a \sqrt{x}}{12}+\frac{\left(-b x +a \right)^{\frac{5}{2}} \sqrt{x}}{3}"," ",0,"1/3*(-b*x+a)^(5/2)*x^(1/2)+5/12*a*(-b*x+a)^(3/2)*x^(1/2)+5/8*a^2*x^(1/2)*(-b*x+a)^(1/2)+5/16*a^3*((-b*x+a)*x)^(1/2)/(-b*x+a)^(1/2)/x^(1/2)/b^(1/2)*arctan((x-1/2*a/b)/(-b*x^2+a*x)^(1/2)*b^(1/2))","A"
555,0,0,67,0.030000," ","int((-b*x+a)^(5/2)/x^(3/2),x)","\int \frac{\left(-b x +a \right)^{\frac{5}{2}}}{x^{\frac{3}{2}}}\, dx"," ",0,"int((-b*x+a)^(5/2)/x^(3/2),x)","F"
556,0,0,66,0.028000," ","int((-b*x+a)^(5/2)/x^(5/2),x)","\int \frac{\left(-b x +a \right)^{\frac{5}{2}}}{x^{\frac{5}{2}}}\, dx"," ",0,"int((-b*x+a)^(5/2)/x^(5/2),x)","F"
557,1,138,99,0.005000," ","int(x^(5/2)*(b*x+2)^(5/2),x)","\frac{\left(b x +2\right)^{\frac{7}{2}} x^{\frac{5}{2}}}{6 b}-\frac{\left(b x +2\right)^{\frac{7}{2}} x^{\frac{3}{2}}}{6 b^{2}}+\frac{\left(b x +2\right)^{\frac{7}{2}} \sqrt{x}}{8 b^{3}}-\frac{\left(b x +2\right)^{\frac{5}{2}} \sqrt{x}}{24 b^{3}}-\frac{5 \left(b x +2\right)^{\frac{3}{2}} \sqrt{x}}{48 b^{3}}-\frac{5 \sqrt{b x +2}\, \sqrt{x}}{16 b^{3}}-\frac{5 \sqrt{\left(b x +2\right) x}\, \ln \left(\frac{b x +1}{\sqrt{b}}+\sqrt{b \,x^{2}+2 x}\right)}{16 \sqrt{b x +2}\, b^{\frac{7}{2}} \sqrt{x}}"," ",0,"1/6/b*x^(5/2)*(b*x+2)^(7/2)-1/6/b^2*x^(3/2)*(b*x+2)^(7/2)+1/8/b^3*x^(1/2)*(b*x+2)^(7/2)-1/24*(b*x+2)^(5/2)/b^3*x^(1/2)-5/48*(b*x+2)^(3/2)/b^3*x^(1/2)-5/16*(b*x+2)^(1/2)/b^3*x^(1/2)-5/16*((b*x+2)*x)^(1/2)/(b*x+2)^(1/2)/b^(7/2)/x^(1/2)*ln((b*x+1)/b^(1/2)+(b*x^2+2*x)^(1/2))","A"
558,1,123,84,0.004000," ","int(x^(3/2)*(b*x+2)^(5/2),x)","\frac{\left(b x +2\right)^{\frac{7}{2}} x^{\frac{3}{2}}}{5 b}-\frac{3 \left(b x +2\right)^{\frac{7}{2}} \sqrt{x}}{20 b^{2}}+\frac{\left(b x +2\right)^{\frac{5}{2}} \sqrt{x}}{20 b^{2}}+\frac{\left(b x +2\right)^{\frac{3}{2}} \sqrt{x}}{8 b^{2}}+\frac{3 \sqrt{b x +2}\, \sqrt{x}}{8 b^{2}}+\frac{3 \sqrt{\left(b x +2\right) x}\, \ln \left(\frac{b x +1}{\sqrt{b}}+\sqrt{b \,x^{2}+2 x}\right)}{8 \sqrt{b x +2}\, b^{\frac{5}{2}} \sqrt{x}}"," ",0,"1/5/b*x^(3/2)*(b*x+2)^(7/2)-3/20/b^2*x^(1/2)*(b*x+2)^(7/2)+1/20*(b*x+2)^(5/2)/b^2*x^(1/2)+1/8*(b*x+2)^(3/2)/b^2*x^(1/2)+3/8*(b*x+2)^(1/2)/b^2*x^(1/2)+3/8*((b*x+2)*x)^(1/2)/(b*x+2)^(1/2)/b^(5/2)/x^(1/2)*ln((b*x+1)/b^(1/2)+(b*x^2+2*x)^(1/2))","A"
559,1,99,69,0.006000," ","int((b*x+2)^(5/2)*x^(1/2),x)","\frac{\left(b x +2\right)^{\frac{5}{2}} x^{\frac{3}{2}}}{4}+\frac{5 \left(b x +2\right)^{\frac{3}{2}} x^{\frac{3}{2}}}{12}+\frac{5 \sqrt{b x +2}\, x^{\frac{3}{2}}}{8}+\frac{5 \sqrt{b x +2}\, \sqrt{x}}{8 b}-\frac{5 \sqrt{\left(b x +2\right) x}\, \ln \left(\frac{b x +1}{\sqrt{b}}+\sqrt{b \,x^{2}+2 x}\right)}{8 \sqrt{b x +2}\, b^{\frac{3}{2}} \sqrt{x}}"," ",0,"1/4*x^(3/2)*(b*x+2)^(5/2)+5/12*(b*x+2)^(3/2)*x^(3/2)+5/8*(b*x+2)^(1/2)*x^(3/2)+5/8*(b*x+2)^(1/2)/b*x^(1/2)-5/8*((b*x+2)*x)^(1/2)/(b*x+2)^(1/2)/b^(3/2)/x^(1/2)*ln((b*x+1)/b^(1/2)+(b*x^2+2*x)^(1/2))","A"
560,1,84,54,0.004000," ","int((b*x+2)^(5/2)/x^(1/2),x)","\frac{\left(b x +2\right)^{\frac{5}{2}} \sqrt{x}}{3}+\frac{5 \left(b x +2\right)^{\frac{3}{2}} \sqrt{x}}{6}+\frac{5 \sqrt{b x +2}\, \sqrt{x}}{2}+\frac{5 \sqrt{\left(b x +2\right) x}\, \ln \left(\frac{b x +1}{\sqrt{b}}+\sqrt{b \,x^{2}+2 x}\right)}{2 \sqrt{b x +2}\, \sqrt{b}\, \sqrt{x}}"," ",0,"1/3*(b*x+2)^(5/2)*x^(1/2)+5/6*(b*x+2)^(3/2)*x^(1/2)+5/2*(b*x+2)^(1/2)*x^(1/2)+5/2*((b*x+2)*x)^(1/2)/(b*x+2)^(1/2)/b^(1/2)/x^(1/2)*ln((b*x+1)/b^(1/2)+(b*x^2+2*x)^(1/2))","A"
561,1,81,56,0.019000," ","int((b*x+2)^(5/2)/x^(3/2),x)","\frac{15 \sqrt{\left(b x +2\right) x}\, \sqrt{b}\, \ln \left(\frac{b x +1}{\sqrt{b}}+\sqrt{b \,x^{2}+2 x}\right)}{2 \sqrt{b x +2}\, \sqrt{x}}+\frac{b^{3} x^{3}+11 b^{2} x^{2}+2 b x -32}{2 \sqrt{b x +2}\, \sqrt{x}}"," ",0,"1/2*(b^3*x^3+11*b^2*x^2+2*b*x-32)/(b*x+2)^(1/2)/x^(1/2)+15/2*((b*x+2)*x)^(1/2)/(b*x+2)^(1/2)*b^(1/2)/x^(1/2)*ln((b*x+1)/b^(1/2)+(b*x^2+2*x)^(1/2))","A"
562,1,82,58,0.019000," ","int((b*x+2)^(5/2)/x^(5/2),x)","\frac{5 \sqrt{\left(b x +2\right) x}\, b^{\frac{3}{2}} \ln \left(\frac{b x +1}{\sqrt{b}}+\sqrt{b \,x^{2}+2 x}\right)}{\sqrt{b x +2}\, \sqrt{x}}+\frac{3 b^{3} x^{3}-22 b^{2} x^{2}-64 b x -16}{3 \sqrt{b x +2}\, x^{\frac{3}{2}}}"," ",0,"1/3*(3*b^3*x^3-22*b^2*x^2-64*b*x-16)/x^(3/2)/(b*x+2)^(1/2)+5*((b*x+2)*x)^(1/2)/(b*x+2)^(1/2)*b^(3/2)/x^(1/2)*ln((b*x+1)/b^(1/2)+(b*x^2+2*x)^(1/2))","A"
563,1,148,105,0.004000," ","int(x^(5/2)*(-b*x+2)^(5/2),x)","-\frac{\left(-b x +2\right)^{\frac{7}{2}} x^{\frac{5}{2}}}{6 b}-\frac{\left(-b x +2\right)^{\frac{7}{2}} x^{\frac{3}{2}}}{6 b^{2}}-\frac{\left(-b x +2\right)^{\frac{7}{2}} \sqrt{x}}{8 b^{3}}+\frac{\left(-b x +2\right)^{\frac{5}{2}} \sqrt{x}}{24 b^{3}}+\frac{5 \left(-b x +2\right)^{\frac{3}{2}} \sqrt{x}}{48 b^{3}}+\frac{5 \sqrt{-b x +2}\, \sqrt{x}}{16 b^{3}}+\frac{5 \sqrt{\left(-b x +2\right) x}\, \arctan \left(\frac{\left(x -\frac{1}{b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+2 x}}\right)}{16 \sqrt{-b x +2}\, b^{\frac{7}{2}} \sqrt{x}}"," ",0,"-1/6/b*x^(5/2)*(-b*x+2)^(7/2)-1/6/b^2*x^(3/2)*(-b*x+2)^(7/2)-1/8/b^3*x^(1/2)*(-b*x+2)^(7/2)+1/24*(-b*x+2)^(5/2)/b^3*x^(1/2)+5/48*(-b*x+2)^(3/2)/b^3*x^(1/2)+5/16*(-b*x+2)^(1/2)/b^3*x^(1/2)+5/16*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)/b^(7/2)/x^(1/2)*arctan((x-1/b)/(-b*x^2+2*x)^(1/2)*b^(1/2))","A"
564,1,132,89,0.006000," ","int(x^(3/2)*(-b*x+2)^(5/2),x)","-\frac{\left(-b x +2\right)^{\frac{7}{2}} x^{\frac{3}{2}}}{5 b}-\frac{3 \left(-b x +2\right)^{\frac{7}{2}} \sqrt{x}}{20 b^{2}}+\frac{\left(-b x +2\right)^{\frac{5}{2}} \sqrt{x}}{20 b^{2}}+\frac{\left(-b x +2\right)^{\frac{3}{2}} \sqrt{x}}{8 b^{2}}+\frac{3 \sqrt{-b x +2}\, \sqrt{x}}{8 b^{2}}+\frac{3 \sqrt{\left(-b x +2\right) x}\, \arctan \left(\frac{\left(x -\frac{1}{b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+2 x}}\right)}{8 \sqrt{-b x +2}\, b^{\frac{5}{2}} \sqrt{x}}"," ",0,"-1/5/b*x^(3/2)*(-b*x+2)^(7/2)-3/20/b^2*x^(1/2)*(-b*x+2)^(7/2)+1/20*(-b*x+2)^(5/2)/b^2*x^(1/2)+1/8*(-b*x+2)^(3/2)/b^2*x^(1/2)+3/8*(-b*x+2)^(1/2)/b^2*x^(1/2)+3/8*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)/b^(5/2)/x^(1/2)*arctan((x-1/b)/(-b*x^2+2*x)^(1/2)*b^(1/2))","A"
565,1,107,73,0.005000," ","int((-b*x+2)^(5/2)*x^(1/2),x)","\frac{\left(-b x +2\right)^{\frac{5}{2}} x^{\frac{3}{2}}}{4}+\frac{5 \left(-b x +2\right)^{\frac{3}{2}} x^{\frac{3}{2}}}{12}+\frac{5 \sqrt{-b x +2}\, x^{\frac{3}{2}}}{8}-\frac{5 \sqrt{-b x +2}\, \sqrt{x}}{8 b}+\frac{5 \sqrt{\left(-b x +2\right) x}\, \arctan \left(\frac{\left(x -\frac{1}{b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+2 x}}\right)}{8 \sqrt{-b x +2}\, b^{\frac{3}{2}} \sqrt{x}}"," ",0,"1/4*x^(3/2)*(-b*x+2)^(5/2)+5/12*(-b*x+2)^(3/2)*x^(3/2)+5/8*(-b*x+2)^(1/2)*x^(3/2)-5/8*(-b*x+2)^(1/2)/b*x^(1/2)+5/8*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)/b^(3/2)/x^(1/2)*arctan((x-1/b)/(-b*x^2+2*x)^(1/2)*b^(1/2))","A"
566,1,91,57,0.005000," ","int((-b*x+2)^(5/2)/x^(1/2),x)","\frac{\left(-b x +2\right)^{\frac{5}{2}} \sqrt{x}}{3}+\frac{5 \left(-b x +2\right)^{\frac{3}{2}} \sqrt{x}}{6}+\frac{5 \sqrt{-b x +2}\, \sqrt{x}}{2}+\frac{5 \sqrt{\left(-b x +2\right) x}\, \arctan \left(\frac{\left(x -\frac{1}{b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+2 x}}\right)}{2 \sqrt{-b x +2}\, \sqrt{b}\, \sqrt{x}}"," ",0,"1/3*(-b*x+2)^(5/2)*x^(1/2)+5/6*(-b*x+2)^(3/2)*x^(1/2)+5/2*(-b*x+2)^(1/2)*x^(1/2)+5/2*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)/b^(1/2)/x^(1/2)*arctan((x-1/b)/(-b*x^2+2*x)^(1/2)*b^(1/2))","A"
567,1,106,59,0.019000," ","int((-b*x+2)^(5/2)/x^(3/2),x)","-\frac{15 \sqrt{\left(-b x +2\right) x}\, \sqrt{b}\, \arctan \left(\frac{\left(x -\frac{1}{b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+2 x}}\right)}{2 \sqrt{-b x +2}\, \sqrt{x}}-\frac{\left(b^{3} x^{3}-11 b^{2} x^{2}+2 b x +32\right) \sqrt{\left(-b x +2\right) x}}{2 \sqrt{-\left(b x -2\right) x}\, \sqrt{-b x +2}\, \sqrt{x}}"," ",0,"-1/2*(b^3*x^3-11*b^2*x^2+2*b*x+32)/(-(b*x-2)*x)^(1/2)*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)/x^(1/2)-15/2*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)*b^(1/2)/x^(1/2)*arctan((x-1/b)/(-b*x^2+2*x)^(1/2)*b^(1/2))","A"
568,1,107,61,0.020000," ","int((-b*x+2)^(5/2)/x^(5/2),x)","\frac{5 \sqrt{\left(-b x +2\right) x}\, b^{\frac{3}{2}} \arctan \left(\frac{\left(x -\frac{1}{b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+2 x}}\right)}{\sqrt{-b x +2}\, \sqrt{x}}-\frac{\left(3 b^{3} x^{3}+22 b^{2} x^{2}-64 b x +16\right) \sqrt{\left(-b x +2\right) x}}{3 \sqrt{-\left(b x -2\right) x}\, \sqrt{-b x +2}\, x^{\frac{3}{2}}}"," ",0,"-1/3*(3*b^3*x^3+22*b^2*x^2-64*b*x+16)/x^(3/2)/(-(b*x-2)*x)^(1/2)*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)+5*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)*b^(3/2)/x^(1/2)*arctan((x-1/b)/(-b*x^2+2*x)^(1/2)*b^(1/2))","A"
569,1,102,73,0.006000," ","int(x^(5/2)/(b*x+a)^(1/2),x)","\frac{\sqrt{b x +a}\, x^{\frac{5}{2}}}{3 b}-\frac{5 \sqrt{b x +a}\, a \,x^{\frac{3}{2}}}{12 b^{2}}-\frac{5 \sqrt{\left(b x +a \right) x}\, a^{3} \ln \left(\frac{b x +\frac{a}{2}}{\sqrt{b}}+\sqrt{b \,x^{2}+a x}\right)}{16 \sqrt{b x +a}\, b^{\frac{7}{2}} \sqrt{x}}+\frac{5 \sqrt{b x +a}\, a^{2} \sqrt{x}}{8 b^{3}}"," ",0,"1/3*x^(5/2)*(b*x+a)^(1/2)/b-5/12*a*x^(3/2)*(b*x+a)^(1/2)/b^2+5/8*a^2*x^(1/2)*(b*x+a)^(1/2)/b^3-5/16*a^3/b^(7/2)*((b*x+a)*x)^(1/2)/x^(1/2)/(b*x+a)^(1/2)*ln((b*x+1/2*a)/b^(1/2)+(b*x^2+a*x)^(1/2))","A"
570,1,84,55,0.006000," ","int(x^(3/2)/(b*x+a)^(1/2),x)","\frac{\sqrt{b x +a}\, x^{\frac{3}{2}}}{2 b}+\frac{3 \sqrt{\left(b x +a \right) x}\, a^{2} \ln \left(\frac{b x +\frac{a}{2}}{\sqrt{b}}+\sqrt{b \,x^{2}+a x}\right)}{8 \sqrt{b x +a}\, b^{\frac{5}{2}} \sqrt{x}}-\frac{3 \sqrt{b x +a}\, a \sqrt{x}}{4 b^{2}}"," ",0,"1/2*x^(3/2)*(b*x+a)^(1/2)/b-3/4*a*x^(1/2)*(b*x+a)^(1/2)/b^2+3/8*a^2/b^(5/2)*((b*x+a)*x)^(1/2)/x^(1/2)/(b*x+a)^(1/2)*ln((b*x+1/2*a)/b^(1/2)+(b*x^2+a*x)^(1/2))","A"
571,1,65,36,0.004000," ","int(x^(1/2)/(b*x+a)^(1/2),x)","-\frac{\sqrt{\left(b x +a \right) x}\, a \ln \left(\frac{b x +\frac{a}{2}}{\sqrt{b}}+\sqrt{b \,x^{2}+a x}\right)}{2 \sqrt{b x +a}\, b^{\frac{3}{2}} \sqrt{x}}+\frac{\sqrt{b x +a}\, \sqrt{x}}{b}"," ",0,"x^(1/2)*(b*x+a)^(1/2)/b-1/2*a/b^(3/2)*((b*x+a)*x)^(1/2)/x^(1/2)/(b*x+a)^(1/2)*ln((b*x+1/2*a)/b^(1/2)+(b*x^2+a*x)^(1/2))","A"
572,1,48,20,0.004000," ","int(1/x^(1/2)/(b*x+a)^(1/2),x)","\frac{\sqrt{\left(b x +a \right) x}\, \ln \left(\frac{b x +\frac{a}{2}}{\sqrt{b}}+\sqrt{b \,x^{2}+a x}\right)}{\sqrt{b x +a}\, \sqrt{b}\, \sqrt{x}}"," ",0,"((b*x+a)*x)^(1/2)/x^(1/2)/(b*x+a)^(1/2)*ln((b*x+1/2*a)/b^(1/2)+(b*x^2+a*x)^(1/2))/b^(1/2)","B"
573,1,16,15,0.004000," ","int(1/x^(3/2)/(b*x+a)^(1/2),x)","-\frac{2 \sqrt{b x +a}}{a \sqrt{x}}"," ",0,"-2*(b*x+a)^(1/2)/a/x^(1/2)","A"
574,1,22,32,0.004000," ","int(1/x^(5/2)/(b*x+a)^(1/2),x)","-\frac{2 \sqrt{b x +a}\, \left(-2 b x +a \right)}{3 a^{2} x^{\frac{3}{2}}}"," ",0,"-2/3*(b*x+a)^(1/2)*(-2*b*x+a)/x^(3/2)/a^2","A"
575,1,35,50,0.005000," ","int(1/x^(7/2)/(b*x+a)^(1/2),x)","-\frac{2 \sqrt{b x +a}\, \left(8 b^{2} x^{2}-4 a b x +3 a^{2}\right)}{15 a^{3} x^{\frac{5}{2}}}"," ",0,"-2/15*(b*x+a)^(1/2)*(8*b^2*x^2-4*a*b*x+3*a^2)/x^(5/2)/a^3","A"
576,1,46,68,0.004000," ","int(1/x^(9/2)/(b*x+a)^(1/2),x)","-\frac{2 \sqrt{b x +a}\, \left(-16 b^{3} x^{3}+8 a \,b^{2} x^{2}-6 a^{2} b x +5 a^{3}\right)}{35 a^{4} x^{\frac{7}{2}}}"," ",0,"-2/35*(b*x+a)^(1/2)*(-16*b^3*x^3+8*a*b^2*x^2-6*a^2*b*x+5*a^3)/x^(7/2)/a^4","A"
577,1,119,70,0.035000," ","int(x^(5/2)/(b*x+a)^(3/2),x)","\frac{\left(\frac{15 a^{2} \ln \left(\frac{b x +\frac{a}{2}}{\sqrt{b}}+\sqrt{b \,x^{2}+a x}\right)}{8 b^{\frac{7}{2}}}-\frac{2 \sqrt{-\left(x +\frac{a}{b}\right) a +\left(x +\frac{a}{b}\right)^{2} b}\, a^{2}}{\left(x +\frac{a}{b}\right) b^{4}}\right) \sqrt{\left(b x +a \right) x}}{\sqrt{b x +a}\, \sqrt{x}}-\frac{\left(-2 b x +7 a \right) \sqrt{b x +a}\, \sqrt{x}}{4 b^{3}}"," ",0,"-1/4*(-2*b*x+7*a)*(b*x+a)^(1/2)*x^(1/2)/b^3+(15/8/b^(7/2)*a^2*ln((b*x+1/2*a)/b^(1/2)+(b*x^2+a*x)^(1/2))-2/b^4*a^2/(x+a/b)*(b*(x+a/b)^2-(x+a/b)*a)^(1/2))*((b*x+a)*x)^(1/2)/(b*x+a)^(1/2)/x^(1/2)","A"
578,1,106,52,0.030000," ","int(x^(3/2)/(b*x+a)^(3/2),x)","\frac{\left(-\frac{3 a \ln \left(\frac{b x +\frac{a}{2}}{\sqrt{b}}+\sqrt{b \,x^{2}+a x}\right)}{2 b^{\frac{5}{2}}}+\frac{2 \sqrt{-\left(x +\frac{a}{b}\right) a +\left(x +\frac{a}{b}\right)^{2} b}\, a}{\left(x +\frac{a}{b}\right) b^{3}}\right) \sqrt{\left(b x +a \right) x}}{\sqrt{b x +a}\, \sqrt{x}}+\frac{\sqrt{b x +a}\, \sqrt{x}}{b^{2}}"," ",0,"x^(1/2)*(b*x+a)^(1/2)/b^2+(-3/2*a/b^(5/2)*ln((b*x+1/2*a)/b^(1/2)+(b*x^2+a*x)^(1/2))+2*a/b^3/(x+a/b)*(-(x+a/b)*a+(x+a/b)^2*b)^(1/2))*((b*x+a)*x)^(1/2)/(b*x+a)^(1/2)/x^(1/2)","B"
579,0,0,36,0.035000," ","int(x^(1/2)/(b*x+a)^(3/2),x)","\int \frac{\sqrt{x}}{\left(b x +a \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^(1/2)/(b*x+a)^(3/2),x)","F"
580,1,16,15,0.005000," ","int(1/(b*x+a)^(3/2)/x^(1/2),x)","\frac{2 \sqrt{x}}{\sqrt{b x +a}\, a}"," ",0,"2*x^(1/2)/a/(b*x+a)^(1/2)","A"
581,1,22,31,0.006000," ","int(1/x^(3/2)/(b*x+a)^(3/2),x)","-\frac{2 \left(2 b x +a \right)}{\sqrt{b x +a}\, a^{2} \sqrt{x}}"," ",0,"-2*(2*b*x+a)/(b*x+a)^(1/2)/x^(1/2)/a^2","A"
582,1,33,47,0.005000," ","int(1/x^(5/2)/(b*x+a)^(3/2),x)","-\frac{2 \left(-8 b^{2} x^{2}-4 a b x +a^{2}\right)}{3 \sqrt{b x +a}\, a^{3} x^{\frac{3}{2}}}"," ",0,"-2/3*(-8*b^2*x^2-4*a*b*x+a^2)/(b*x+a)^(1/2)/x^(3/2)/a^3","A"
583,1,44,65,0.005000," ","int(1/x^(7/2)/(b*x+a)^(3/2),x)","-\frac{2 \left(16 b^{3} x^{3}+8 a \,b^{2} x^{2}-2 a^{2} b x +a^{3}\right)}{5 \sqrt{b x +a}\, a^{4} x^{\frac{5}{2}}}"," ",0,"-2/5*(16*b^3*x^3+8*a*b^2*x^2-2*a^2*b*x+a^3)/(b*x+a)^(1/2)/x^(5/2)/a^4","A"
584,1,147,67,0.049000," ","int(x^(5/2)/(b*x+a)^(5/2),x)","\frac{\left(-\frac{5 a \ln \left(\frac{b x +\frac{a}{2}}{\sqrt{b}}+\sqrt{b \,x^{2}+a x}\right)}{2 b^{\frac{7}{2}}}-\frac{2 \sqrt{-\left(x +\frac{a}{b}\right) a +\left(x +\frac{a}{b}\right)^{2} b}\, a^{2}}{3 \left(x +\frac{a}{b}\right)^{2} b^{5}}+\frac{14 \sqrt{-\left(x +\frac{a}{b}\right) a +\left(x +\frac{a}{b}\right)^{2} b}\, a}{3 \left(x +\frac{a}{b}\right) b^{4}}\right) \sqrt{\left(b x +a \right) x}}{\sqrt{b x +a}\, \sqrt{x}}+\frac{\sqrt{b x +a}\, \sqrt{x}}{b^{3}}"," ",0,"x^(1/2)*(b*x+a)^(1/2)/b^3+(-5/2/b^(7/2)*a*ln((b*x+1/2*a)/b^(1/2)+(b*x^2+a*x)^(1/2))+14/3/b^4*a/(x+a/b)*(-(x+a/b)*a+(x+a/b)^2*b)^(1/2)-2/3/b^5*a^2/(x+a/b)^2*(-(x+a/b)*a+(x+a/b)^2*b)^(1/2))*((b*x+a)*x)^(1/2)/(b*x+a)^(1/2)/x^(1/2)","B"
585,0,0,51,0.032000," ","int(x^(3/2)/(b*x+a)^(5/2),x)","\int \frac{x^{\frac{3}{2}}}{\left(b x +a \right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^(3/2)/(b*x+a)^(5/2),x)","F"
586,1,16,15,0.003000," ","int(x^(1/2)/(b*x+a)^(5/2),x)","\frac{2 x^{\frac{3}{2}}}{3 \left(b x +a \right)^{\frac{3}{2}} a}"," ",0,"2/3*x^(3/2)/a/(b*x+a)^(3/2)","A"
587,1,24,31,0.005000," ","int(1/(b*x+a)^(5/2)/x^(1/2),x)","\frac{2 \left(2 b x +3 a \right) \sqrt{x}}{3 \left(b x +a \right)^{\frac{3}{2}} a^{2}}"," ",0,"2/3*x^(1/2)*(2*b*x+3*a)/(b*x+a)^(3/2)/a^2","A"
588,1,35,46,0.007000," ","int(1/x^(3/2)/(b*x+a)^(5/2),x)","-\frac{2 \left(8 b^{2} x^{2}+12 a b x +3 a^{2}\right)}{3 \left(b x +a \right)^{\frac{3}{2}} a^{3} \sqrt{x}}"," ",0,"-2/3*(8*b^2*x^2+12*a*b*x+3*a^2)/(b*x+a)^(3/2)/x^(1/2)/a^3","A"
589,1,44,62,0.005000," ","int(1/x^(5/2)/(b*x+a)^(5/2),x)","-\frac{2 \left(-16 b^{3} x^{3}-24 a \,b^{2} x^{2}-6 a^{2} b x +a^{3}\right)}{3 \left(b x +a \right)^{\frac{3}{2}} a^{4} x^{\frac{3}{2}}}"," ",0,"-2/3*(-16*b^3*x^3-24*a*b^2*x^2-6*a^2*b*x+a^3)/(b*x+a)^(3/2)/x^(3/2)/a^4","A"
590,1,108,77,0.007000," ","int(x^(5/2)/(-b*x+a)^(1/2),x)","-\frac{\sqrt{-b x +a}\, x^{\frac{5}{2}}}{3 b}-\frac{5 \sqrt{-b x +a}\, a \,x^{\frac{3}{2}}}{12 b^{2}}+\frac{5 \sqrt{\left(-b x +a \right) x}\, a^{3} \arctan \left(\frac{\left(x -\frac{a}{2 b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+a x}}\right)}{16 \sqrt{-b x +a}\, b^{\frac{7}{2}} \sqrt{x}}-\frac{5 \sqrt{-b x +a}\, a^{2} \sqrt{x}}{8 b^{3}}"," ",0,"-1/3*x^(5/2)*(-b*x+a)^(1/2)/b-5/12*a*x^(3/2)*(-b*x+a)^(1/2)/b^2-5/8*a^2*x^(1/2)*(-b*x+a)^(1/2)/b^3+5/16*a^3/b^(7/2)*((-b*x+a)*x)^(1/2)/x^(1/2)/(-b*x+a)^(1/2)*arctan((x-1/2*a/b)/(-b*x^2+a*x)^(1/2)*b^(1/2))","A"
591,1,89,58,0.006000," ","int(x^(3/2)/(-b*x+a)^(1/2),x)","-\frac{\sqrt{-b x +a}\, x^{\frac{3}{2}}}{2 b}+\frac{3 \sqrt{\left(-b x +a \right) x}\, a^{2} \arctan \left(\frac{\left(x -\frac{a}{2 b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+a x}}\right)}{8 \sqrt{-b x +a}\, b^{\frac{5}{2}} \sqrt{x}}-\frac{3 \sqrt{-b x +a}\, a \sqrt{x}}{4 b^{2}}"," ",0,"-1/2*x^(3/2)*(-b*x+a)^(1/2)/b-3/4*a*x^(1/2)*(-b*x+a)^(1/2)/b^2+3/8*a^2/b^(5/2)*((-b*x+a)*x)^(1/2)/x^(1/2)/(-b*x+a)^(1/2)*arctan((x-1/2*a/b)/(-b*x^2+a*x)^(1/2)*b^(1/2))","A"
592,1,70,38,0.006000," ","int(x^(1/2)/(-b*x+a)^(1/2),x)","\frac{\sqrt{\left(-b x +a \right) x}\, a \arctan \left(\frac{\left(x -\frac{a}{2 b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+a x}}\right)}{2 \sqrt{-b x +a}\, b^{\frac{3}{2}} \sqrt{x}}-\frac{\sqrt{-b x +a}\, \sqrt{x}}{b}"," ",0,"-x^(1/2)*(-b*x+a)^(1/2)/b+1/2*a/b^(3/2)*((-b*x+a)*x)^(1/2)/x^(1/2)/(-b*x+a)^(1/2)*arctan((x-1/2*a/b)/(-b*x^2+a*x)^(1/2)*b^(1/2))","A"
593,1,51,21,0.006000," ","int(1/x^(1/2)/(-b*x+a)^(1/2),x)","\frac{\sqrt{\left(-b x +a \right) x}\, \arctan \left(\frac{\left(x -\frac{a}{2 b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+a x}}\right)}{\sqrt{-b x +a}\, \sqrt{b}\, \sqrt{x}}"," ",0,"((-b*x+a)*x)^(1/2)/x^(1/2)/(-b*x+a)^(1/2)/b^(1/2)*arctan((x-1/2*a/b)/(-b*x^2+a*x)^(1/2)*b^(1/2))","B"
594,1,17,16,0.005000," ","int(1/x^(3/2)/(-b*x+a)^(1/2),x)","-\frac{2 \sqrt{-b x +a}}{a \sqrt{x}}"," ",0,"-2*(-b*x+a)^(1/2)/a/x^(1/2)","A"
595,1,23,34,0.004000," ","int(1/x^(5/2)/(-b*x+a)^(1/2),x)","-\frac{2 \sqrt{-b x +a}\, \left(2 b x +a \right)}{3 a^{2} x^{\frac{3}{2}}}"," ",0,"-2/3*(-b*x+a)^(1/2)*(2*b*x+a)/x^(3/2)/a^2","A"
596,1,127,74,0.040000," ","int(x^(5/2)/(-b*x+a)^(3/2),x)","\frac{\left(-\frac{15 a^{2} \arctan \left(\frac{\left(x -\frac{a}{2 b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+a x}}\right)}{8 b^{\frac{7}{2}}}-\frac{2 \sqrt{-\left(x -\frac{a}{b}\right) a -\left(x -\frac{a}{b}\right)^{2} b}\, a^{2}}{\left(x -\frac{a}{b}\right) b^{4}}\right) \sqrt{\left(-b x +a \right) x}}{\sqrt{-b x +a}\, \sqrt{x}}+\frac{\left(2 b x +7 a \right) \sqrt{-b x +a}\, \sqrt{x}}{4 b^{3}}"," ",0,"1/4*(2*b*x+7*a)/b^3*(-b*x+a)^(1/2)*x^(1/2)+(-15/8*a^2/b^(7/2)*arctan((x-1/2*a/b)/(-b*x^2+a*x)^(1/2)*b^(1/2))-2*a^2/b^4/(x-a/b)*(-b*(x-a/b)^2-(x-a/b)*a)^(1/2))*((-b*x+a)*x)^(1/2)/(-b*x+a)^(1/2)/x^(1/2)","A"
597,1,114,55,0.030000," ","int(x^(3/2)/(-b*x+a)^(3/2),x)","\frac{\left(-\frac{3 a \arctan \left(\frac{\left(x -\frac{a}{2 b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+a x}}\right)}{2 b^{\frac{5}{2}}}-\frac{2 \sqrt{-\left(x -\frac{a}{b}\right) a -\left(x -\frac{a}{b}\right)^{2} b}\, a}{\left(x -\frac{a}{b}\right) b^{3}}\right) \sqrt{\left(-b x +a \right) x}}{\sqrt{-b x +a}\, \sqrt{x}}+\frac{\sqrt{-b x +a}\, \sqrt{x}}{b^{2}}"," ",0,"x^(1/2)*(-b*x+a)^(1/2)/b^2+(-3/2*a/b^(5/2)*arctan((x-1/2*a/b)/(-b*x^2+a*x)^(1/2)*b^(1/2))-2*a/b^3/(x-a/b)*(-(x-a/b)*a-(x-a/b)^2*b)^(1/2))*((-b*x+a)*x)^(1/2)/(-b*x+a)^(1/2)/x^(1/2)","B"
598,0,0,38,0.030000," ","int(x^(1/2)/(-b*x+a)^(3/2),x)","\int \frac{\sqrt{x}}{\left(-b x +a \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^(1/2)/(-b*x+a)^(3/2),x)","F"
599,1,17,16,0.003000," ","int(1/(-b*x+a)^(3/2)/x^(1/2),x)","\frac{2 \sqrt{x}}{\sqrt{-b x +a}\, a}"," ",0,"2*x^(1/2)/a/(-b*x+a)^(1/2)","A"
600,1,23,33,0.003000," ","int(1/x^(3/2)/(-b*x+a)^(3/2),x)","-\frac{2 \left(-2 b x +a \right)}{\sqrt{-b x +a}\, a^{2} \sqrt{x}}"," ",0,"-2*(-2*b*x+a)/(-b*x+a)^(1/2)/x^(1/2)/a^2","A"
601,1,34,50,0.005000," ","int(1/x^(5/2)/(-b*x+a)^(3/2),x)","-\frac{2 \left(-8 b^{2} x^{2}+4 a b x +a^{2}\right)}{3 \sqrt{-b x +a}\, a^{3} x^{\frac{3}{2}}}"," ",0,"-2/3*(-8*b^2*x^2+4*a*b*x+a^2)/(-b*x+a)^(1/2)/x^(3/2)/a^3","A"
602,1,160,71,0.043000," ","int(x^(5/2)/(-b*x+a)^(5/2),x)","\frac{\left(\frac{5 a \arctan \left(\frac{\left(x -\frac{a}{2 b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+a x}}\right)}{2 b^{\frac{7}{2}}}+\frac{2 \sqrt{-\left(x -\frac{a}{b}\right) a -\left(x -\frac{a}{b}\right)^{2} b}\, a^{2}}{3 \left(x -\frac{a}{b}\right)^{2} b^{5}}+\frac{14 \sqrt{-\left(x -\frac{a}{b}\right) a -\left(x -\frac{a}{b}\right)^{2} b}\, a}{3 \left(x -\frac{a}{b}\right) b^{4}}\right) \sqrt{\left(-b x +a \right) x}}{\sqrt{-b x +a}\, \sqrt{x}}-\frac{\sqrt{-b x +a}\, \sqrt{x}}{b^{3}}"," ",0,"-x^(1/2)*(-b*x+a)^(1/2)/b^3+(5/2/b^(7/2)*a*arctan((x-1/2*a/b)/(-b*x^2+a*x)^(1/2)*b^(1/2))+2/3/b^5*a^2/(x-a/b)^2*(-(x-a/b)*a-(x-a/b)^2*b)^(1/2)+14/3/b^4*a/(x-a/b)*(-(x-a/b)*a-(x-a/b)^2*b)^(1/2))*((-b*x+a)*x)^(1/2)/(-b*x+a)^(1/2)/x^(1/2)","B"
603,0,0,54,0.031000," ","int(x^(3/2)/(-b*x+a)^(5/2),x)","\int \frac{x^{\frac{3}{2}}}{\left(-b x +a \right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^(3/2)/(-b*x+a)^(5/2),x)","F"
604,1,17,16,0.005000," ","int(x^(1/2)/(-b*x+a)^(5/2),x)","\frac{2 x^{\frac{3}{2}}}{3 \left(-b x +a \right)^{\frac{3}{2}} a}"," ",0,"2/3*x^(3/2)/a/(-b*x+a)^(3/2)","A"
605,1,25,33,0.003000," ","int(1/(-b*x+a)^(5/2)/x^(1/2),x)","\frac{2 \left(-2 b x +3 a \right) \sqrt{x}}{3 \left(-b x +a \right)^{\frac{3}{2}} a^{2}}"," ",0,"2/3*x^(1/2)*(-2*b*x+3*a)/(-b*x+a)^(3/2)/a^2","A"
606,1,36,49,0.005000," ","int(1/x^(3/2)/(-b*x+a)^(5/2),x)","-\frac{2 \left(8 b^{2} x^{2}-12 a b x +3 a^{2}\right)}{3 \left(-b x +a \right)^{\frac{3}{2}} a^{3} \sqrt{x}}"," ",0,"-2/3*(8*b^2*x^2-12*a*b*x+3*a^2)/(-b*x+a)^(3/2)/x^(1/2)/a^3","A"
607,1,45,66,0.005000," ","int(1/x^(5/2)/(-b*x+a)^(5/2),x)","-\frac{2 \left(16 b^{3} x^{3}-24 a \,b^{2} x^{2}+6 a^{2} b x +a^{3}\right)}{3 \left(-b x +a \right)^{\frac{3}{2}} a^{4} x^{\frac{3}{2}}}"," ",0,"-2/3*(16*b^3*x^3-24*a*b^2*x^2+6*a^2*b*x+a^3)/(-b*x+a)^(3/2)/x^(3/2)/a^4","A"
608,1,93,63,0.005000," ","int(x^(5/2)/(b*x+2)^(1/2),x)","\frac{\sqrt{b x +2}\, x^{\frac{5}{2}}}{3 b}-\frac{5 \sqrt{b x +2}\, x^{\frac{3}{2}}}{6 b^{2}}+\frac{5 \sqrt{b x +2}\, \sqrt{x}}{2 b^{3}}-\frac{5 \sqrt{\left(b x +2\right) x}\, \ln \left(\frac{b x +1}{\sqrt{b}}+\sqrt{b \,x^{2}+2 x}\right)}{2 \sqrt{b x +2}\, b^{\frac{7}{2}} \sqrt{x}}"," ",0,"1/3*x^(5/2)*(b*x+2)^(1/2)/b-5/6*x^(3/2)*(b*x+2)^(1/2)/b^2+5/2*(b*x+2)^(1/2)/b^3*x^(1/2)-5/2*((b*x+2)*x)^(1/2)/(b*x+2)^(1/2)/b^(7/2)/x^(1/2)*ln((b*x+1)/b^(1/2)+(b*x^2+2*x)^(1/2))","A"
609,1,78,48,0.005000," ","int(x^(3/2)/(b*x+2)^(1/2),x)","\frac{\sqrt{b x +2}\, x^{\frac{3}{2}}}{2 b}-\frac{3 \sqrt{b x +2}\, \sqrt{x}}{2 b^{2}}+\frac{3 \sqrt{\left(b x +2\right) x}\, \ln \left(\frac{b x +1}{\sqrt{b}}+\sqrt{b \,x^{2}+2 x}\right)}{2 \sqrt{b x +2}\, b^{\frac{5}{2}} \sqrt{x}}"," ",0,"1/2*x^(3/2)*(b*x+2)^(1/2)/b-3/2*(b*x+2)^(1/2)/b^2*x^(1/2)+3/2*((b*x+2)*x)^(1/2)/(b*x+2)^(1/2)/b^(5/2)/x^(1/2)*ln((b*x+1)/b^(1/2)+(b*x^2+2*x)^(1/2))","A"
610,1,62,32,0.004000," ","int(x^(1/2)/(b*x+2)^(1/2),x)","\frac{\sqrt{b x +2}\, \sqrt{x}}{b}-\frac{\sqrt{\left(b x +2\right) x}\, \ln \left(\frac{b x +1}{\sqrt{b}}+\sqrt{b \,x^{2}+2 x}\right)}{\sqrt{b x +2}\, b^{\frac{3}{2}} \sqrt{x}}"," ",0,"(b*x+2)^(1/2)/b*x^(1/2)-((b*x+2)*x)^(1/2)/(b*x+2)^(1/2)/b^(3/2)/x^(1/2)*ln((b*x+1)/b^(1/2)+(b*x^2+2*x)^(1/2))","A"
611,1,46,17,0.004000," ","int(1/x^(1/2)/(b*x+2)^(1/2),x)","\frac{\sqrt{\left(b x +2\right) x}\, \ln \left(\frac{b x +1}{\sqrt{b}}+\sqrt{b \,x^{2}+2 x}\right)}{\sqrt{b x +2}\, \sqrt{b}\, \sqrt{x}}"," ",0,"((b*x+2)*x)^(1/2)/(b*x+2)^(1/2)/b^(1/2)/x^(1/2)*ln((b*x+1)/b^(1/2)+(b*x^2+2*x)^(1/2))","B"
612,1,13,12,0.003000," ","int(1/x^(3/2)/(b*x+2)^(1/2),x)","-\frac{\sqrt{b x +2}}{\sqrt{x}}"," ",0,"-(b*x+2)^(1/2)/x^(1/2)","A"
613,1,18,26,0.005000," ","int(1/x^(5/2)/(b*x+2)^(1/2),x)","\frac{\sqrt{b x +2}\, \left(b x -1\right)}{3 x^{\frac{3}{2}}}"," ",0,"1/3*(b*x+2)^(1/2)*(b*x-1)/x^(3/2)","A"
614,1,27,41,0.006000," ","int(1/x^(7/2)/(b*x+2)^(1/2),x)","-\frac{\sqrt{b x +2}\, \left(2 b^{2} x^{2}-2 b x +3\right)}{15 x^{\frac{5}{2}}}"," ",0,"-1/15*(b*x+2)^(1/2)*(2*b^2*x^2-2*b*x+3)/x^(5/2)","A"
615,1,35,56,0.006000," ","int(1/x^(9/2)/(b*x+2)^(1/2),x)","\frac{\sqrt{b x +2}\, \left(2 b^{3} x^{3}-2 b^{2} x^{2}+3 b x -5\right)}{35 x^{\frac{7}{2}}}"," ",0,"1/35*(b*x+2)^(1/2)*(2*b^3*x^3-2*b^2*x^2+3*b*x-5)/x^(7/2)","A"
616,1,106,63,0.028000," ","int(x^(5/2)/(b*x+2)^(3/2),x)","\frac{\left(\frac{15 \ln \left(\frac{b x +1}{\sqrt{b}}+\sqrt{b \,x^{2}+2 x}\right)}{2 b^{\frac{7}{2}}}-\frac{8 \sqrt{\left(x +\frac{2}{b}\right)^{2} b -2 x -\frac{4}{b}}}{\left(x +\frac{2}{b}\right) b^{4}}\right) \sqrt{\left(b x +2\right) x}}{\sqrt{b x +2}\, \sqrt{x}}+\frac{\left(b x -7\right) \sqrt{b x +2}\, \sqrt{x}}{2 b^{3}}"," ",0,"1/2*(b*x-7)*(b*x+2)^(1/2)*x^(1/2)/b^3+(15/2/b^(7/2)*ln((b*x+1)/b^(1/2)+(b*x^2+2*x)^(1/2))-8/b^4/(x+2/b)*(b*(x+2/b)^2-2*x-4/b)^(1/2))*((b*x+2)*x)^(1/2)/(b*x+2)^(1/2)/x^(1/2)","A"
617,1,100,48,0.024000," ","int(x^(3/2)/(b*x+2)^(3/2),x)","\frac{\left(-\frac{3 \ln \left(\frac{b x +1}{\sqrt{b}}+\sqrt{b \,x^{2}+2 x}\right)}{b^{\frac{5}{2}}}+\frac{4 \sqrt{\left(x +\frac{2}{b}\right)^{2} b -2 x -\frac{4}{b}}}{\left(x +\frac{2}{b}\right) b^{3}}\right) \sqrt{\left(b x +2\right) x}}{\sqrt{b x +2}\, \sqrt{x}}+\frac{\sqrt{b x +2}\, \sqrt{x}}{b^{2}}"," ",0,"(b*x+2)^(1/2)/b^2*x^(1/2)+(-3/b^(5/2)*ln((b*x+1)/b^(1/2)+(b*x^2+2*x)^(1/2))+4/b^3/(x+2/b)*((x+2/b)^2*b-2*x-4/b)^(1/2))*((b*x+2)*x)^(1/2)/(b*x+2)^(1/2)/x^(1/2)","B"
618,1,48,33,0.112000," ","int(x^(1/2)/(b*x+2)^(3/2),x)","\frac{-\frac{\sqrt{\pi}\, \sqrt{2}\, \sqrt{b}\, \sqrt{x}}{\sqrt{\frac{b x}{2}+1}}+2 \sqrt{\pi}\, \arcsinh \left(\frac{\sqrt{2}\, \sqrt{b}\, \sqrt{x}}{2}\right)}{\sqrt{\pi}\, b^{\frac{3}{2}}}"," ",0,"2/b^(3/2)/Pi^(1/2)*(-1/2*Pi^(1/2)*x^(1/2)*2^(1/2)*b^(1/2)/(1/2*b*x+1)^(1/2)+Pi^(1/2)*arcsinh(1/2*b^(1/2)*x^(1/2)*2^(1/2)))","A"
619,1,12,11,0.004000," ","int(1/(b*x+2)^(3/2)/x^(1/2),x)","\frac{\sqrt{x}}{\sqrt{b x +2}}"," ",0,"x^(1/2)/(b*x+2)^(1/2)","A"
620,1,18,24,0.005000," ","int(1/x^(3/2)/(b*x+2)^(3/2),x)","-\frac{b x +1}{\sqrt{b x +2}\, \sqrt{x}}"," ",0,"-(b*x+1)/(b*x+2)^(1/2)/x^(1/2)","A"
621,1,27,37,0.004000," ","int(1/x^(5/2)/(b*x+2)^(3/2),x)","\frac{2 b^{2} x^{2}+2 b x -1}{3 \sqrt{b x +2}\, x^{\frac{3}{2}}}"," ",0,"1/3*(2*b^2*x^2+2*b*x-1)/(b*x+2)^(1/2)/x^(3/2)","A"
622,1,35,52,0.004000," ","int(1/x^(7/2)/(b*x+2)^(3/2),x)","-\frac{2 b^{3} x^{3}+2 b^{2} x^{2}-b x +1}{5 \sqrt{b x +2}\, x^{\frac{5}{2}}}"," ",0,"-1/5*(2*b^3*x^3+2*b^2*x^2-b*x+1)/(b*x+2)^(1/2)/x^(5/2)","A"
623,1,136,63,0.036000," ","int(x^(5/2)/(b*x+2)^(5/2),x)","\frac{\left(-\frac{5 \ln \left(\frac{b x +1}{\sqrt{b}}+\sqrt{b \,x^{2}+2 x}\right)}{b^{\frac{7}{2}}}+\frac{28 \sqrt{\left(x +\frac{2}{b}\right)^{2} b -2 x -\frac{4}{b}}}{3 \left(x +\frac{2}{b}\right) b^{4}}-\frac{8 \sqrt{\left(x +\frac{2}{b}\right)^{2} b -2 x -\frac{4}{b}}}{3 \left(x +\frac{2}{b}\right)^{2} b^{5}}\right) \sqrt{\left(b x +2\right) x}}{\sqrt{b x +2}\, \sqrt{x}}+\frac{\sqrt{b x +2}\, \sqrt{x}}{b^{3}}"," ",0,"(b*x+2)^(1/2)/b^3*x^(1/2)+(-5/b^(7/2)*ln((b*x+1)/b^(1/2)+(b*x^2+2*x)^(1/2))+28/3/(x+2/b)*((x+2/b)^2*b-2*x-4/b)^(1/2)/b^4-8/3/b^5/(x+2/b)^2*((x+2/b)^2*b-2*x-4/b)^(1/2))*((b*x+2)*x)^(1/2)/(b*x+2)^(1/2)/x^(1/2)","B"
624,1,55,48,0.040000," ","int(x^(3/2)/(b*x+2)^(5/2),x)","\frac{-\frac{\sqrt{\pi}\, \sqrt{2}\, \left(10 b x +15\right) \sqrt{b}\, \sqrt{x}}{15 \left(\frac{b x}{2}+1\right)^{\frac{3}{2}}}+2 \sqrt{\pi}\, \arcsinh \left(\frac{\sqrt{2}\, \sqrt{b}\, \sqrt{x}}{2}\right)}{\sqrt{\pi}\, b^{\frac{5}{2}}}"," ",0,"4/3/b^(5/2)/Pi^(1/2)*(-1/20*Pi^(1/2)*x^(1/2)*2^(1/2)*b^(1/2)*(10*b*x+15)/(1/2*b*x+1)^(3/2)+3/2*Pi^(1/2)*arcsinh(1/2*2^(1/2)*b^(1/2)*x^(1/2)))","A"
625,1,13,12,0.005000," ","int(x^(1/2)/(b*x+2)^(5/2),x)","\frac{x^{\frac{3}{2}}}{3 \left(b x +2\right)^{\frac{3}{2}}}"," ",0,"1/3*x^(3/2)/(b*x+2)^(3/2)","A"
626,1,18,25,0.005000," ","int(1/(b*x+2)^(5/2)/x^(1/2),x)","\frac{\left(b x +3\right) \sqrt{x}}{3 \left(b x +2\right)^{\frac{3}{2}}}"," ",0,"1/3*x^(1/2)*(b*x+3)/(b*x+2)^(3/2)","A"
627,1,27,37,0.004000," ","int(1/x^(3/2)/(b*x+2)^(5/2),x)","-\frac{2 b^{2} x^{2}+6 b x +3}{3 \left(b x +2\right)^{\frac{3}{2}} \sqrt{x}}"," ",0,"-1/3*(2*b^2*x^2+6*b*x+3)/(b*x+2)^(3/2)/x^(1/2)","A"
628,1,35,49,0.005000," ","int(1/x^(5/2)/(b*x+2)^(5/2),x)","\frac{2 b^{3} x^{3}+6 b^{2} x^{2}+3 b x -1}{3 \left(b x +2\right)^{\frac{3}{2}} x^{\frac{3}{2}}}"," ",0,"1/3*(2*b^3*x^3+6*b^2*x^2+3*b*x-1)/(b*x+2)^(3/2)/x^(3/2)","A"
629,1,100,66,0.005000," ","int(x^(5/2)/(-b*x+2)^(1/2),x)","-\frac{\sqrt{-b x +2}\, x^{\frac{5}{2}}}{3 b}-\frac{5 \sqrt{-b x +2}\, x^{\frac{3}{2}}}{6 b^{2}}-\frac{5 \sqrt{-b x +2}\, \sqrt{x}}{2 b^{3}}+\frac{5 \sqrt{\left(-b x +2\right) x}\, \arctan \left(\frac{\left(x -\frac{1}{b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+2 x}}\right)}{2 \sqrt{-b x +2}\, b^{\frac{7}{2}} \sqrt{x}}"," ",0,"-1/3*x^(5/2)*(-b*x+2)^(1/2)/b-5/6*x^(3/2)*(-b*x+2)^(1/2)/b^2-5/2*(-b*x+2)^(1/2)/b^3*x^(1/2)+5/2*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)/b^(7/2)/x^(1/2)*arctan((x-1/b)/(-b*x^2+2*x)^(1/2)*b^(1/2))","A"
630,1,84,50,0.004000," ","int(x^(3/2)/(-b*x+2)^(1/2),x)","-\frac{\sqrt{-b x +2}\, x^{\frac{3}{2}}}{2 b}-\frac{3 \sqrt{-b x +2}\, \sqrt{x}}{2 b^{2}}+\frac{3 \sqrt{\left(-b x +2\right) x}\, \arctan \left(\frac{\left(x -\frac{1}{b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+2 x}}\right)}{2 \sqrt{-b x +2}\, b^{\frac{5}{2}} \sqrt{x}}"," ",0,"-1/2*x^(3/2)*(-b*x+2)^(1/2)/b-3/2*(-b*x+2)^(1/2)/b^2*x^(1/2)+3/2*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)/b^(5/2)/x^(1/2)*arctan((x-1/b)/(-b*x^2+2*x)^(1/2)*b^(1/2))","A"
631,1,67,34,0.006000," ","int(x^(1/2)/(-b*x+2)^(1/2),x)","-\frac{\sqrt{-b x +2}\, \sqrt{x}}{b}+\frac{\sqrt{\left(-b x +2\right) x}\, \arctan \left(\frac{\left(x -\frac{1}{b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+2 x}}\right)}{\sqrt{-b x +2}\, b^{\frac{3}{2}} \sqrt{x}}"," ",0,"-(-b*x+2)^(1/2)/b*x^(1/2)+((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)/b^(3/2)/x^(1/2)*arctan((x-1/b)/(-b*x^2+2*x)^(1/2)*b^(1/2))","A"
632,1,50,17,0.004000," ","int(1/x^(1/2)/(-b*x+2)^(1/2),x)","\frac{\sqrt{\left(-b x +2\right) x}\, \arctan \left(\frac{\left(x -\frac{1}{b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+2 x}}\right)}{\sqrt{-b x +2}\, \sqrt{b}\, \sqrt{x}}"," ",0,"((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)/b^(1/2)/x^(1/2)*arctan((x-1/b)/(-b*x^2+2*x)^(1/2)*b^(1/2))","B"
633,1,14,13,0.004000," ","int(1/x^(3/2)/(-b*x+2)^(1/2),x)","-\frac{\sqrt{-b x +2}}{\sqrt{x}}"," ",0,"-(-b*x+2)^(1/2)/x^(1/2)","A"
634,1,19,28,0.003000," ","int(1/x^(5/2)/(-b*x+2)^(1/2),x)","-\frac{\left(b x +1\right) \sqrt{-b x +2}}{3 x^{\frac{3}{2}}}"," ",0,"-1/3*(b*x+1)/x^(3/2)*(-b*x+2)^(1/2)","A"
635,1,138,66,0.028000," ","int(x^(5/2)/(-b*x+2)^(3/2),x)","-\frac{\left(\frac{15 \arctan \left(\frac{\left(x -\frac{1}{b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+2 x}}\right)}{2 b^{\frac{7}{2}}}+\frac{8 \sqrt{-\left(x -\frac{2}{b}\right)^{2} b -2 x +\frac{4}{b}}}{\left(x -\frac{2}{b}\right) b^{4}}\right) \sqrt{\left(-b x +2\right) x}}{\sqrt{-b x +2}\, \sqrt{x}}-\frac{\left(b x +7\right) \left(b x -2\right) \sqrt{\left(-b x +2\right) x}\, \sqrt{x}}{2 \sqrt{-\left(b x -2\right) x}\, \sqrt{-b x +2}\, b^{3}}"," ",0,"-1/2*(b*x+7)*(b*x-2)*x^(1/2)/b^3/(-(b*x-2)*x)^(1/2)*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)-(15/2/b^(7/2)*arctan((x-1/b)/(-b*x^2+2*x)^(1/2)*b^(1/2))+8/b^4/(x-2/b)*(-b*(x-2/b)^2-2*x+4/b)^(1/2))*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)/x^(1/2)","B"
636,1,133,50,0.028000," ","int(x^(3/2)/(-b*x+2)^(3/2),x)","-\frac{\left(\frac{3 \arctan \left(\frac{\left(x -\frac{1}{b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+2 x}}\right)}{b^{\frac{5}{2}}}+\frac{4 \sqrt{-\left(x -\frac{2}{b}\right)^{2} b -2 x +\frac{4}{b}}}{\left(x -\frac{2}{b}\right) b^{3}}\right) \sqrt{\left(-b x +2\right) x}}{\sqrt{-b x +2}\, \sqrt{x}}-\frac{\left(b x -2\right) \sqrt{\left(-b x +2\right) x}\, \sqrt{x}}{\sqrt{-\left(b x -2\right) x}\, \sqrt{-b x +2}\, b^{2}}"," ",0,"-1/b^2*(b*x-2)*x^(1/2)/(-(b*x-2)*x)^(1/2)*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)-(3/b^(5/2)*arctan((x-1/b)/(-b*x^2+2*x)^(1/2)*b^(1/2))+4/b^3/(x-2/b)*(-(x-2/b)^2*b-2*x+4/b)^(1/2))*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)/x^(1/2)","B"
637,1,67,34,0.046000," ","int(x^(1/2)/(-b*x+2)^(3/2),x)","-\frac{2 \left(\frac{\sqrt{\pi}\, \sqrt{2}\, \left(-b \right)^{\frac{3}{2}} \sqrt{x}}{2 \sqrt{-\frac{b x}{2}+1}\, b}-\frac{\sqrt{\pi}\, \left(-b \right)^{\frac{3}{2}} \arcsin \left(\frac{\sqrt{2}\, \sqrt{b}\, \sqrt{x}}{2}\right)}{b^{\frac{3}{2}}}\right)}{\sqrt{-b}\, \sqrt{\pi}\, b}"," ",0,"-2/(-b)^(1/2)/Pi^(1/2)/b*(1/2*Pi^(1/2)*x^(1/2)*2^(1/2)*(-b)^(3/2)/b/(-1/2*b*x+1)^(1/2)-Pi^(1/2)*(-b)^(3/2)/b^(3/2)*arcsin(1/2*2^(1/2)*b^(1/2)*x^(1/2)))","A"
638,1,13,12,0.005000," ","int(1/(-b*x+2)^(3/2)/x^(1/2),x)","\frac{\sqrt{x}}{\sqrt{-b x +2}}"," ",0,"x^(1/2)/(-b*x+2)^(1/2)","A"
639,1,18,26,0.004000," ","int(1/x^(3/2)/(-b*x+2)^(3/2),x)","\frac{b x -1}{\sqrt{-b x +2}\, \sqrt{x}}"," ",0,"(b*x-1)/x^(1/2)/(-b*x+2)^(1/2)","A"
640,1,28,40,0.006000," ","int(1/x^(5/2)/(-b*x+2)^(3/2),x)","\frac{2 b^{2} x^{2}-2 b x -1}{3 \sqrt{-b x +2}\, x^{\frac{3}{2}}}"," ",0,"1/3*(2*b^2*x^2-2*b*x-1)/x^(3/2)/(-b*x+2)^(1/2)","A"
641,1,168,66,0.038000," ","int(x^(5/2)/(-b*x+2)^(5/2),x)","\frac{\left(\frac{5 \arctan \left(\frac{\left(x -\frac{1}{b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+2 x}}\right)}{b^{\frac{7}{2}}}+\frac{28 \sqrt{-\left(x -\frac{2}{b}\right)^{2} b -2 x +\frac{4}{b}}}{3 \left(x -\frac{2}{b}\right) b^{4}}+\frac{8 \sqrt{-\left(x -\frac{2}{b}\right)^{2} b -2 x +\frac{4}{b}}}{3 \left(x -\frac{2}{b}\right)^{2} b^{5}}\right) \sqrt{\left(-b x +2\right) x}}{\sqrt{-b x +2}\, \sqrt{x}}+\frac{\left(b x -2\right) \sqrt{\left(-b x +2\right) x}\, \sqrt{x}}{\sqrt{-\left(b x -2\right) x}\, \sqrt{-b x +2}\, b^{3}}"," ",0,"1/b^3*(b*x-2)*x^(1/2)/(-(b*x-2)*x)^(1/2)*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)+(5/b^(7/2)*arctan((x-1/b)/(-b*x^2+2*x)^(1/2)*b^(1/2))+8/3/b^5/(x-2/b)^2*(-(x-2/b)^2*b-2*x+4/b)^(1/2)+28/3/(x-2/b)*(-(x-2/b)^2*b-2*x+4/b)^(1/2)/b^4)*((-b*x+2)*x)^(1/2)/(-b*x+2)^(1/2)/x^(1/2)","B"
642,1,73,50,0.041000," ","int(x^(3/2)/(-b*x+2)^(5/2),x)","-\frac{4 \left(-\frac{\sqrt{\pi}\, \sqrt{2}\, \left(-b \right)^{\frac{5}{2}} \left(-10 b x +15\right) \sqrt{x}}{20 \left(-\frac{b x}{2}+1\right)^{\frac{3}{2}} b^{2}}+\frac{3 \sqrt{\pi}\, \left(-b \right)^{\frac{5}{2}} \arcsin \left(\frac{\sqrt{2}\, \sqrt{b}\, \sqrt{x}}{2}\right)}{2 b^{\frac{5}{2}}}\right)}{3 \left(-b \right)^{\frac{3}{2}} \sqrt{\pi}\, b}"," ",0,"-4/3/(-b)^(3/2)/Pi^(1/2)/b*(-1/20*Pi^(1/2)*x^(1/2)*2^(1/2)*(-b)^(5/2)*(-10*b*x+15)/b^2/(-1/2*b*x+1)^(3/2)+3/2*Pi^(1/2)*(-b)^(5/2)/b^(5/2)*arcsin(1/2*2^(1/2)*b^(1/2)*x^(1/2)))","A"
643,1,14,13,0.003000," ","int(x^(1/2)/(-b*x+2)^(5/2),x)","\frac{x^{\frac{3}{2}}}{3 \left(-b x +2\right)^{\frac{3}{2}}}"," ",0,"1/3*x^(3/2)/(-b*x+2)^(3/2)","A"
644,1,19,27,0.005000," ","int(1/(-b*x+2)^(5/2)/x^(1/2),x)","-\frac{\left(b x -3\right) \sqrt{x}}{3 \left(-b x +2\right)^{\frac{3}{2}}}"," ",0,"-1/3*x^(1/2)*(b*x-3)/(-b*x+2)^(3/2)","A"
645,1,28,40,0.004000," ","int(1/x^(3/2)/(-b*x+2)^(5/2),x)","-\frac{2 b^{2} x^{2}-6 b x +3}{3 \left(-b x +2\right)^{\frac{3}{2}} \sqrt{x}}"," ",0,"-1/3*(2*b^2*x^2-6*b*x+3)/x^(1/2)/(-b*x+2)^(3/2)","A"
646,1,36,53,0.004000," ","int(1/x^(5/2)/(-b*x+2)^(5/2),x)","-\frac{2 b^{3} x^{3}-6 b^{2} x^{2}+3 b x +1}{3 \left(-b x +2\right)^{\frac{3}{2}} x^{\frac{3}{2}}}"," ",0,"-1/3*(2*b^3*x^3-6*b^2*x^2+3*b*x+1)/x^(3/2)/(-b*x+2)^(3/2)","A"
647,1,41,21,0.006000," ","int(x^(1/2)/(1-x)^(1/2),x)","-\sqrt{-x +1}\, \sqrt{x}+\frac{\sqrt{\left(-x +1\right) x}\, \arcsin \left(2 x -1\right)}{2 \sqrt{-x +1}\, \sqrt{x}}"," ",0,"-(1-x)^(1/2)*x^(1/2)+1/2*(x*(1-x))^(1/2)/x^(1/2)/(1-x)^(1/2)*arcsin(-1+2*x)","A"
648,1,27,6,0.004000," ","int(1/(-x+1)^(1/2)/x^(1/2),x)","\frac{\sqrt{\left(-x +1\right) x}\, \arcsin \left(2 x -1\right)}{\sqrt{-x +1}\, \sqrt{x}}"," ",0,"((-x+1)*x)^(1/2)/(-x+1)^(1/2)/x^(1/2)*arcsin(2*x-1)","B"
649,1,48,13,0.007000," ","int(1/x^(1/2)/(-b*x+1)^(1/2),x)","\frac{\sqrt{\left(-b x +1\right) x}\, \arctan \left(\frac{\left(x -\frac{1}{2 b}\right) \sqrt{b}}{\sqrt{-b \,x^{2}+x}}\right)}{\sqrt{-b x +1}\, \sqrt{b}\, \sqrt{x}}"," ",0,"(x*(-b*x+1))^(1/2)/x^(1/2)/(-b*x+1)^(1/2)/b^(1/2)*arctan(b^(1/2)*(x-1/2/b)/(-b*x^2+x)^(1/2))","B"
650,1,14,13,0.001000," ","int(x^(5/3)*(b*x+a),x)","\frac{3 \left(8 b x +11 a \right) x^{\frac{8}{3}}}{88}"," ",0,"3/88*x^(8/3)*(8*b*x+11*a)","A"
651,1,14,13,0.002000," ","int(x^(4/3)*(b*x+a),x)","\frac{3 \left(7 b x +10 a \right) x^{\frac{7}{3}}}{70}"," ",0,"3/70*x^(7/3)*(7*b*x+10*a)","A"
652,1,14,13,0.003000," ","int(x^(2/3)*(b*x+a),x)","\frac{3 \left(5 b x +8 a \right) x^{\frac{5}{3}}}{40}"," ",0,"3/40*x^(5/3)*(5*b*x+8*a)","A"
653,1,14,13,0.003000," ","int(x^(1/3)*(b*x+a),x)","\frac{3 \left(4 b x +7 a \right) x^{\frac{4}{3}}}{28}"," ",0,"3/28*x^(4/3)*(4*b*x+7*a)","A"
654,1,14,13,0.003000," ","int((b*x+a)/x^(1/3),x)","\frac{3 \left(2 b x +5 a \right) x^{\frac{2}{3}}}{10}"," ",0,"3/10*x^(2/3)*(2*b*x+5*a)","A"
655,1,13,13,0.002000," ","int((b*x+a)/x^(2/3),x)","\frac{3 \left(b x +4 a \right) x^{\frac{1}{3}}}{4}"," ",0,"3/4*x^(1/3)*(b*x+4*a)","A"
656,1,14,13,0.001000," ","int((b*x+a)/x^(4/3),x)","-\frac{3 \left(-b x +2 a \right)}{2 x^{\frac{1}{3}}}"," ",0,"-3/2*(-b*x+2*a)/x^(1/3)","A"
657,1,12,13,0.003000," ","int((b*x+a)/x^(5/3),x)","-\frac{3 \left(-2 b x +a \right)}{2 x^{\frac{2}{3}}}"," ",0,"-3/2*(-2*b*x+a)/x^(2/3)","A"
658,1,25,24,0.004000," ","int(x^(5/3)*(b*x+a)^2,x)","\frac{3 \left(44 b^{2} x^{2}+112 a b x +77 a^{2}\right) x^{\frac{8}{3}}}{616}"," ",0,"3/616*x^(8/3)*(44*b^2*x^2+112*a*b*x+77*a^2)","A"
659,1,25,24,0.005000," ","int(x^(4/3)*(b*x+a)^2,x)","\frac{3 \left(35 b^{2} x^{2}+91 a b x +65 a^{2}\right) x^{\frac{7}{3}}}{455}"," ",0,"3/455*x^(7/3)*(35*b^2*x^2+91*a*b*x+65*a^2)","A"
660,1,25,24,0.003000," ","int(x^(2/3)*(b*x+a)^2,x)","\frac{3 \left(20 b^{2} x^{2}+55 a b x +44 a^{2}\right) x^{\frac{5}{3}}}{220}"," ",0,"3/220*x^(5/3)*(20*b^2*x^2+55*a*b*x+44*a^2)","A"
661,1,25,24,0.006000," ","int(x^(1/3)*(b*x+a)^2,x)","\frac{3 \left(14 b^{2} x^{2}+40 a b x +35 a^{2}\right) x^{\frac{4}{3}}}{140}"," ",0,"3/140*x^(4/3)*(14*b^2*x^2+40*a*b*x+35*a^2)","A"
662,1,25,24,0.005000," ","int((b*x+a)^2/x^(1/3),x)","\frac{3 \left(5 b^{2} x^{2}+16 a b x +20 a^{2}\right) x^{\frac{2}{3}}}{40}"," ",0,"3/40*x^(2/3)*(5*b^2*x^2+16*a*b*x+20*a^2)","A"
663,1,25,24,0.006000," ","int((b*x+a)^2/x^(2/3),x)","\frac{3 \left(2 b^{2} x^{2}+7 a b x +14 a^{2}\right) x^{\frac{1}{3}}}{14}"," ",0,"3/14*x^(1/3)*(2*b^2*x^2+7*a*b*x+14*a^2)","A"
664,1,25,24,0.003000," ","int((b*x+a)^2/x^(4/3),x)","-\frac{3 \left(-b^{2} x^{2}-5 a b x +5 a^{2}\right)}{5 x^{\frac{1}{3}}}"," ",0,"-3/5*(-b^2*x^2-5*a*b*x+5*a^2)/x^(1/3)","A"
665,1,25,24,0.004000," ","int((b*x+a)^2/x^(5/3),x)","-\frac{3 \left(-b^{2} x^{2}-8 a b x +2 a^{2}\right)}{4 x^{\frac{2}{3}}}"," ",0,"-3/4*(-b^2*x^2-8*a*b*x+2*a^2)/x^(2/3)","A"
666,1,36,35,0.005000," ","int(x^(5/3)*(b*x+a)^3,x)","\frac{3 \left(616 b^{3} x^{3}+2244 a \,b^{2} x^{2}+2856 a^{2} b x +1309 a^{3}\right) x^{\frac{8}{3}}}{10472}"," ",0,"3/10472*x^(8/3)*(616*b^3*x^3+2244*a*b^2*x^2+2856*a^2*b*x+1309*a^3)","A"
667,1,36,35,0.005000," ","int(x^(4/3)*(b*x+a)^3,x)","\frac{3 \left(455 b^{3} x^{3}+1680 a \,b^{2} x^{2}+2184 a^{2} b x +1040 a^{3}\right) x^{\frac{7}{3}}}{7280}"," ",0,"3/7280*x^(7/3)*(455*b^3*x^3+1680*a*b^2*x^2+2184*a^2*b*x+1040*a^3)","A"
668,1,36,35,0.006000," ","int(x^(2/3)*(b*x+a)^3,x)","\frac{3 \left(220 b^{3} x^{3}+840 a \,b^{2} x^{2}+1155 a^{2} b x +616 a^{3}\right) x^{\frac{5}{3}}}{3080}"," ",0,"3/3080*x^(5/3)*(220*b^3*x^3+840*a*b^2*x^2+1155*a^2*b*x+616*a^3)","A"
669,1,36,35,0.005000," ","int(x^(1/3)*(b*x+a)^3,x)","\frac{3 \left(140 b^{3} x^{3}+546 a \,b^{2} x^{2}+780 a^{2} b x +455 a^{3}\right) x^{\frac{4}{3}}}{1820}"," ",0,"3/1820*x^(4/3)*(140*b^3*x^3+546*a*b^2*x^2+780*a^2*b*x+455*a^3)","A"
670,1,36,35,0.005000," ","int((b*x+a)^3/x^(1/3),x)","\frac{3 \left(40 b^{3} x^{3}+165 a \,b^{2} x^{2}+264 a^{2} b x +220 a^{3}\right) x^{\frac{2}{3}}}{440}"," ",0,"3/440*x^(2/3)*(40*b^3*x^3+165*a*b^2*x^2+264*a^2*b*x+220*a^3)","A"
671,1,36,35,0.006000," ","int((b*x+a)^3/x^(2/3),x)","\frac{3 \left(14 b^{3} x^{3}+60 a \,b^{2} x^{2}+105 a^{2} b x +140 a^{3}\right) x^{\frac{1}{3}}}{140}"," ",0,"3/140*x^(1/3)*(14*b^3*x^3+60*a*b^2*x^2+105*a^2*b*x+140*a^3)","A"
672,1,36,35,0.004000," ","int((b*x+a)^3/x^(4/3),x)","-\frac{3 \left(-5 b^{3} x^{3}-24 a \,b^{2} x^{2}-60 a^{2} b x +40 a^{3}\right)}{40 x^{\frac{1}{3}}}"," ",0,"-3/40*(-5*b^3*x^3-24*a*b^2*x^2-60*a^2*b*x+40*a^3)/x^(1/3)","A"
673,1,36,35,0.005000," ","int((b*x+a)^3/x^(5/3),x)","-\frac{3 \left(-4 b^{3} x^{3}-21 a \,b^{2} x^{2}-84 a^{2} b x +14 a^{3}\right)}{28 x^{\frac{2}{3}}}"," ",0,"-3/28*(-4*b^3*x^3-21*a*b^2*x^2-84*a^2*b*x+14*a^3)/x^(2/3)","A"
674,1,122,84,0.008000," ","int(x^(5/3)/(b*x+a),x)","\frac{3 x^{\frac{5}{3}}}{5 b}+\frac{\sqrt{3}\, a^{2} \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{\frac{1}{3}}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{\left(\frac{a}{b}\right)^{\frac{1}{3}} b^{3}}-\frac{a^{2} \ln \left(x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{\left(\frac{a}{b}\right)^{\frac{1}{3}} b^{3}}+\frac{a^{2} \ln \left(x^{\frac{2}{3}}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{2 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{3}}-\frac{3 a \,x^{\frac{2}{3}}}{2 b^{2}}"," ",0,"3/5*x^(5/3)/b-3/2*a*x^(2/3)/b^2-a^2/b^3/(a/b)^(1/3)*ln(x^(1/3)+(a/b)^(1/3))+1/2*a^2/b^3/(a/b)^(1/3)*ln(x^(2/3)-(a/b)^(1/3)*x^(1/3)+(a/b)^(2/3))+a^2/b^3*3^(1/2)/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^(1/3)-1))","A"
675,1,121,84,0.006000," ","int(x^(4/3)/(b*x+a),x)","\frac{3 x^{\frac{4}{3}}}{4 b}+\frac{\sqrt{3}\, a^{2} \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{\frac{1}{3}}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{\left(\frac{a}{b}\right)^{\frac{2}{3}} b^{3}}+\frac{a^{2} \ln \left(x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{\left(\frac{a}{b}\right)^{\frac{2}{3}} b^{3}}-\frac{a^{2} \ln \left(x^{\frac{2}{3}}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{2 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{3}}-\frac{3 a \,x^{\frac{1}{3}}}{b^{2}}"," ",0,"3/4*x^(4/3)/b-3*a*x^(1/3)/b^2+a^2/b^3/(a/b)^(2/3)*ln(x^(1/3)+(a/b)^(1/3))-1/2*a^2/b^3/(a/b)^(2/3)*ln(x^(2/3)-(a/b)^(1/3)*x^(1/3)+(a/b)^(2/3))+a^2/b^3/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^(1/3)-1))","A"
676,1,107,74,0.007000," ","int(x^(2/3)/(b*x+a),x)","-\frac{\sqrt{3}\, a \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{\frac{1}{3}}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{\left(\frac{a}{b}\right)^{\frac{1}{3}} b^{2}}+\frac{a \ln \left(x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{\left(\frac{a}{b}\right)^{\frac{1}{3}} b^{2}}-\frac{a \ln \left(x^{\frac{2}{3}}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{2 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{2}}+\frac{3 x^{\frac{2}{3}}}{2 b}"," ",0,"3/2*x^(2/3)/b+a/b^2/(a/b)^(1/3)*ln(x^(1/3)+(a/b)^(1/3))-1/2*a/b^2/(a/b)^(1/3)*ln(x^(2/3)-(a/b)^(1/3)*x^(1/3)+(a/b)^(2/3))-a/b^2*3^(1/2)/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^(1/3)-1))","A"
677,1,108,74,0.007000," ","int(x^(1/3)/(b*x+a),x)","-\frac{\sqrt{3}\, a \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{\frac{1}{3}}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{\left(\frac{a}{b}\right)^{\frac{2}{3}} b^{2}}-\frac{a \ln \left(x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{\left(\frac{a}{b}\right)^{\frac{2}{3}} b^{2}}+\frac{a \ln \left(x^{\frac{2}{3}}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{2 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{2}}+\frac{3 x^{\frac{1}{3}}}{b}"," ",0,"3*x^(1/3)/b-a/b^2/(a/b)^(2/3)*ln(x^(1/3)+(a/b)^(1/3))+1/2*a/b^2/(a/b)^(2/3)*ln(x^(2/3)-(a/b)^(1/3)*x^(1/3)+(a/b)^(2/3))-a/b^2/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^(1/3)-1))","A"
678,1,96,67,0.005000," ","int(1/x^(1/3)/(b*x+a),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{\frac{1}{3}}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{\left(\frac{a}{b}\right)^{\frac{1}{3}} b}-\frac{\ln \left(x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{\left(\frac{a}{b}\right)^{\frac{1}{3}} b}+\frac{\ln \left(x^{\frac{2}{3}}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{2 \left(\frac{a}{b}\right)^{\frac{1}{3}} b}"," ",0,"-1/b/(a/b)^(1/3)*ln(x^(1/3)+(a/b)^(1/3))+1/2/b/(a/b)^(1/3)*ln(x^(2/3)-(a/b)^(1/3)*x^(1/3)+(a/b)^(2/3))+3^(1/2)/b/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^(1/3)-1))","A"
679,1,95,67,0.006000," ","int(1/x^(2/3)/(b*x+a),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{\frac{1}{3}}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{\left(\frac{a}{b}\right)^{\frac{2}{3}} b}+\frac{\ln \left(x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{\left(\frac{a}{b}\right)^{\frac{2}{3}} b}-\frac{\ln \left(x^{\frac{2}{3}}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{2 \left(\frac{a}{b}\right)^{\frac{2}{3}} b}"," ",0,"1/b/(a/b)^(2/3)*ln(x^(1/3)+(a/b)^(1/3))-1/2/b/(a/b)^(2/3)*ln(x^(2/3)-(a/b)^(1/3)*x^(1/3)+(a/b)^(2/3))+1/b/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^(1/3)-1))","A"
680,1,104,74,0.009000," ","int(1/x^(4/3)/(b*x+a),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{\frac{1}{3}}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{\left(\frac{a}{b}\right)^{\frac{1}{3}} a}+\frac{\ln \left(x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{\left(\frac{a}{b}\right)^{\frac{1}{3}} a}-\frac{\ln \left(x^{\frac{2}{3}}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{2 \left(\frac{a}{b}\right)^{\frac{1}{3}} a}-\frac{3}{a \,x^{\frac{1}{3}}}"," ",0,"-3/a/x^(1/3)+1/a/(a/b)^(1/3)*ln(x^(1/3)+(a/b)^(1/3))-1/2/a/(a/b)^(1/3)*ln(x^(2/3)-(a/b)^(1/3)*x^(1/3)+(a/b)^(2/3))-1/a*3^(1/2)/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^(1/3)-1))","A"
681,1,105,74,0.008000," ","int(1/x^(5/3)/(b*x+a),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{\frac{1}{3}}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{\left(\frac{a}{b}\right)^{\frac{2}{3}} a}-\frac{\ln \left(x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{\left(\frac{a}{b}\right)^{\frac{2}{3}} a}+\frac{\ln \left(x^{\frac{2}{3}}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{2 \left(\frac{a}{b}\right)^{\frac{2}{3}} a}-\frac{3}{2 a \,x^{\frac{2}{3}}}"," ",0,"-3/2/a/x^(2/3)-1/a/(a/b)^(2/3)*ln(x^(1/3)+(a/b)^(1/3))+1/2/a/(a/b)^(2/3)*ln(x^(2/3)-(a/b)^(1/3)*x^(1/3)+(a/b)^(2/3))-1/a/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^(1/3)-1))","A"
682,1,123,90,0.011000," ","int(x^(5/3)/(b*x+a)^2,x)","\frac{a \,x^{\frac{2}{3}}}{\left(b x +a \right) b^{2}}-\frac{5 \sqrt{3}\, a \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{\frac{1}{3}}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{3}}+\frac{5 a \ln \left(x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{3}}-\frac{5 a \ln \left(x^{\frac{2}{3}}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{3}}+\frac{3 x^{\frac{2}{3}}}{2 b^{2}}"," ",0,"3/2*x^(2/3)/b^2+a/b^2*x^(2/3)/(b*x+a)+5/3*a/b^3/(a/b)^(1/3)*ln(x^(1/3)+(a/b)^(1/3))-5/6*a/b^3/(a/b)^(1/3)*ln(x^(2/3)-(a/b)^(1/3)*x^(1/3)+(a/b)^(2/3))-5/3*a/b^3*3^(1/2)/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^(1/3)-1))","A"
683,1,123,90,0.013000," ","int(x^(4/3)/(b*x+a)^2,x)","\frac{a \,x^{\frac{1}{3}}}{\left(b x +a \right) b^{2}}-\frac{4 \sqrt{3}\, a \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{\frac{1}{3}}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{3}}-\frac{4 a \ln \left(x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{3}}+\frac{2 a \ln \left(x^{\frac{2}{3}}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{3}}+\frac{3 x^{\frac{1}{3}}}{b^{2}}"," ",0,"3*x^(1/3)/b^2+a/b^2*x^(1/3)/(b*x+a)-4/3*a/b^3/(a/b)^(2/3)*ln(x^(1/3)+(a/b)^(1/3))+2/3*a/b^3/(a/b)^(2/3)*ln(x^(2/3)-(a/b)^(1/3)*x^(1/3)+(a/b)^(2/3))-4/3*a/b^3/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^(1/3)-1))","A"
684,1,112,82,0.010000," ","int(x^(2/3)/(b*x+a)^2,x)","-\frac{x^{\frac{2}{3}}}{\left(b x +a \right) b}+\frac{2 \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{\frac{1}{3}}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{2}}-\frac{2 \ln \left(x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{2}}+\frac{\ln \left(x^{\frac{2}{3}}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{2}}"," ",0,"-x^(2/3)/b/(b*x+a)-2/3/b^2/(a/b)^(1/3)*ln(x^(1/3)+(a/b)^(1/3))+1/3/b^2/(a/b)^(1/3)*ln(x^(2/3)-(a/b)^(1/3)*x^(1/3)+(a/b)^(2/3))+2/3/b^2*3^(1/2)/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^(1/3)-1))","A"
685,1,112,82,0.011000," ","int(x^(1/3)/(b*x+a)^2,x)","-\frac{x^{\frac{1}{3}}}{\left(b x +a \right) b}+\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{\frac{1}{3}}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{2}}+\frac{\ln \left(x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{2}}-\frac{\ln \left(x^{\frac{2}{3}}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{2}}"," ",0,"-x^(1/3)/b/(b*x+a)+1/3/b^2/(a/b)^(2/3)*ln(x^(1/3)+(a/b)^(1/3))-1/6/b^2/(a/b)^(2/3)*ln(x^(2/3)-(a/b)^(1/3)*x^(1/3)+(a/b)^(2/3))+1/3/b^2/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^(1/3)-1))","A"
686,1,120,81,0.009000," ","int(1/x^(1/3)/(b*x+a)^2,x)","\frac{x^{\frac{2}{3}}}{\left(b x +a \right) a}+\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{\frac{1}{3}}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{3}} a b}-\frac{\ln \left(x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{3}} a b}+\frac{\ln \left(x^{\frac{2}{3}}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{a}{b}\right)^{\frac{1}{3}} a b}"," ",0,"x^(2/3)/a/(b*x+a)-1/3/a/b/(a/b)^(1/3)*ln(x^(1/3)+(a/b)^(1/3))+1/6/a/b/(a/b)^(1/3)*ln(x^(2/3)-(a/b)^(1/3)*x^(1/3)+(a/b)^(2/3))+1/3/a*3^(1/2)/b/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^(1/3)-1))","A"
687,1,120,80,0.008000," ","int(1/x^(2/3)/(b*x+a)^2,x)","\frac{x^{\frac{1}{3}}}{\left(b x +a \right) a}+\frac{2 \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{\frac{1}{3}}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{a}{b}\right)^{\frac{2}{3}} a b}+\frac{2 \ln \left(x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{2}{3}} a b}-\frac{\ln \left(x^{\frac{2}{3}}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{2}{3}} a b}"," ",0,"x^(1/3)/a/(b*x+a)+2/3/a/b/(a/b)^(2/3)*ln(x^(1/3)+(a/b)^(1/3))-1/3/a/b/(a/b)^(2/3)*ln(x^(2/3)-(a/b)^(1/3)*x^(1/3)+(a/b)^(2/3))+2/3/a/b/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^(1/3)-1))","A"
688,1,121,89,0.012000," ","int(1/x^(4/3)/(b*x+a)^2,x)","-\frac{b \,x^{\frac{2}{3}}}{\left(b x +a \right) a^{2}}-\frac{4 \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{\frac{1}{3}}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{3}} a^{2}}+\frac{4 \ln \left(x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{3}} a^{2}}-\frac{2 \ln \left(x^{\frac{2}{3}}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{3}} a^{2}}-\frac{3}{a^{2} x^{\frac{1}{3}}}"," ",0,"-3/a^2/x^(1/3)-1/a^2*b*x^(2/3)/(b*x+a)+4/3/a^2/(a/b)^(1/3)*ln(x^(1/3)+(a/b)^(1/3))-2/3/a^2/(a/b)^(1/3)*ln(x^(2/3)-(a/b)^(1/3)*x^(1/3)+(a/b)^(2/3))-4/3/a^2*3^(1/2)/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^(1/3)-1))","A"
689,1,121,89,0.014000," ","int(1/x^(5/3)/(b*x+a)^2,x)","-\frac{b \,x^{\frac{1}{3}}}{\left(b x +a \right) a^{2}}-\frac{5 \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{\frac{1}{3}}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{a}{b}\right)^{\frac{2}{3}} a^{2}}-\frac{5 \ln \left(x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{2}{3}} a^{2}}+\frac{5 \ln \left(x^{\frac{2}{3}}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{a}{b}\right)^{\frac{2}{3}} a^{2}}-\frac{3}{2 a^{2} x^{\frac{2}{3}}}"," ",0,"-3/2/a^2/x^(2/3)-1/a^2*b*x^(1/3)/(b*x+a)-5/3/a^2/(a/b)^(2/3)*ln(x^(1/3)+(a/b)^(1/3))+5/6/a^2/(a/b)^(2/3)*ln(x^(2/3)-(a/b)^(1/3)*x^(1/3)+(a/b)^(2/3))-5/3/a^2/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^(1/3)-1))","A"
690,1,124,97,0.013000," ","int(x^(5/3)/(b*x+a)^3,x)","\frac{5 \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{\frac{1}{3}}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{3}}-\frac{5 \ln \left(x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{3}}+\frac{5 \ln \left(x^{\frac{2}{3}}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{3}}+\frac{-\frac{4 x^{\frac{5}{3}}}{3 b}-\frac{5 a \,x^{\frac{2}{3}}}{6 b^{2}}}{\left(b x +a \right)^{2}}"," ",0,"3*(-4/9/b*x^(5/3)-5/18*a/b^2*x^(2/3))/(b*x+a)^2-5/9/b^3/(a/b)^(1/3)*ln(x^(1/3)+(a/b)^(1/3))+5/18/b^3/(a/b)^(1/3)*ln(x^(2/3)-(a/b)^(1/3)*x^(1/3)+(a/b)^(2/3))+5/9/b^3*3^(1/2)/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^(1/3)-1))","A"
691,1,124,97,0.012000," ","int(x^(4/3)/(b*x+a)^3,x)","\frac{2 \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{\frac{1}{3}}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{3}}+\frac{2 \ln \left(x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{3}}-\frac{\ln \left(x^{\frac{2}{3}}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{9 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{3}}+\frac{-\frac{7 x^{\frac{4}{3}}}{6 b}-\frac{2 a \,x^{\frac{1}{3}}}{3 b^{2}}}{\left(b x +a \right)^{2}}"," ",0,"3*(-7/18/b*x^(4/3)-2/9*a/b^2*x^(1/3))/(b*x+a)^2+2/9/b^3/(a/b)^(2/3)*ln(x^(1/3)+(a/b)^(1/3))-1/9/b^3/(a/b)^(2/3)*ln(x^(2/3)-(a/b)^(1/3)*x^(1/3)+(a/b)^(2/3))+2/9/b^3/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^(1/3)-1))","A"
692,1,132,100,0.013000," ","int(x^(2/3)/(b*x+a)^3,x)","\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{\frac{1}{3}}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{a}{b}\right)^{\frac{1}{3}} a \,b^{2}}-\frac{\ln \left(x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{a}{b}\right)^{\frac{1}{3}} a \,b^{2}}+\frac{\ln \left(x^{\frac{2}{3}}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \left(\frac{a}{b}\right)^{\frac{1}{3}} a \,b^{2}}+\frac{\frac{x^{\frac{5}{3}}}{3 a}-\frac{x^{\frac{2}{3}}}{6 b}}{\left(b x +a \right)^{2}}"," ",0,"3*(1/9/a*x^(5/3)-1/18/b*x^(2/3))/(b*x+a)^2-1/9/b^2/a/(a/b)^(1/3)*ln(x^(1/3)+(a/b)^(1/3))+1/18/b^2/a/(a/b)^(1/3)*ln(x^(2/3)-(a/b)^(1/3)*x^(1/3)+(a/b)^(2/3))+1/9/b^2/a*3^(1/2)/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^(1/3)-1))","A"
693,1,132,100,0.013000," ","int(x^(1/3)/(b*x+a)^3,x)","\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{\frac{1}{3}}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{a}{b}\right)^{\frac{2}{3}} a \,b^{2}}+\frac{\ln \left(x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{a}{b}\right)^{\frac{2}{3}} a \,b^{2}}-\frac{\ln \left(x^{\frac{2}{3}}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \left(\frac{a}{b}\right)^{\frac{2}{3}} a \,b^{2}}+\frac{\frac{x^{\frac{4}{3}}}{6 a}-\frac{x^{\frac{1}{3}}}{3 b}}{\left(b x +a \right)^{2}}"," ",0,"3*(1/18/a*x^(4/3)-1/9/b*x^(1/3))/(b*x+a)^2+1/9/b^2/a/(a/b)^(2/3)*ln(x^(1/3)+(a/b)^(1/3))-1/18/b^2/a/(a/b)^(2/3)*ln(x^(2/3)-(a/b)^(1/3)*x^(1/3)+(a/b)^(2/3))+1/9/b^2/a/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^(1/3)-1))","A"
694,1,136,97,0.007000," ","int(1/x^(1/3)/(b*x+a)^3,x)","\frac{x^{\frac{2}{3}}}{2 \left(b x +a \right)^{2} a}+\frac{2 x^{\frac{2}{3}}}{3 \left(b x +a \right) a^{2}}+\frac{2 \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{\frac{1}{3}}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{a}{b}\right)^{\frac{1}{3}} a^{2} b}-\frac{2 \ln \left(x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{a}{b}\right)^{\frac{1}{3}} a^{2} b}+\frac{\ln \left(x^{\frac{2}{3}}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{9 \left(\frac{a}{b}\right)^{\frac{1}{3}} a^{2} b}"," ",0,"1/2*x^(2/3)/a/(b*x+a)^2+2/3*x^(2/3)/a^2/(b*x+a)-2/9/a^2/b/(a/b)^(1/3)*ln(x^(1/3)+(a/b)^(1/3))+1/9/a^2/b/(a/b)^(1/3)*ln(x^(2/3)-(a/b)^(1/3)*x^(1/3)+(a/b)^(2/3))+2/9/a^2*3^(1/2)/b/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^(1/3)-1))","A"
695,1,136,97,0.007000," ","int(1/x^(2/3)/(b*x+a)^3,x)","\frac{x^{\frac{1}{3}}}{2 \left(b x +a \right)^{2} a}+\frac{5 x^{\frac{1}{3}}}{6 \left(b x +a \right) a^{2}}+\frac{5 \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{\frac{1}{3}}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{a}{b}\right)^{\frac{2}{3}} a^{2} b}+\frac{5 \ln \left(x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{a}{b}\right)^{\frac{2}{3}} a^{2} b}-\frac{5 \ln \left(x^{\frac{2}{3}}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \left(\frac{a}{b}\right)^{\frac{2}{3}} a^{2} b}"," ",0,"1/2*x^(1/3)/a/(b*x+a)^2+5/6*x^(1/3)/a^2/(b*x+a)+5/9/a^2/b/(a/b)^(2/3)*ln(x^(1/3)+(a/b)^(1/3))-5/18/a^2/b/(a/b)^(2/3)*ln(x^(2/3)-(a/b)^(1/3)*x^(1/3)+(a/b)^(2/3))+5/9/a^2/b/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^(1/3)-1))","A"
696,1,139,105,0.017000," ","int(1/x^(4/3)/(b*x+a)^3,x)","-\frac{5 b^{2} x^{\frac{5}{3}}}{3 \left(b x +a \right)^{2} a^{3}}-\frac{13 b \,x^{\frac{2}{3}}}{6 \left(b x +a \right)^{2} a^{2}}-\frac{14 \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{\frac{1}{3}}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{a}{b}\right)^{\frac{1}{3}} a^{3}}+\frac{14 \ln \left(x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{a}{b}\right)^{\frac{1}{3}} a^{3}}-\frac{7 \ln \left(x^{\frac{2}{3}}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{9 \left(\frac{a}{b}\right)^{\frac{1}{3}} a^{3}}-\frac{3}{a^{3} x^{\frac{1}{3}}}"," ",0,"-3/a^3/x^(1/3)-5/3*b^2/a^3/(b*x+a)^2*x^(5/3)-13/6*b/a^2/(b*x+a)^2*x^(2/3)+14/9/a^3/(a/b)^(1/3)*ln(x^(1/3)+(a/b)^(1/3))-7/9/a^3/(a/b)^(1/3)*ln(x^(2/3)-(a/b)^(1/3)*x^(1/3)+(a/b)^(2/3))-14/9/a^3*3^(1/2)/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^(1/3)-1))","A"
697,1,139,105,0.017000," ","int(1/x^(5/3)/(b*x+a)^3,x)","-\frac{11 b^{2} x^{\frac{4}{3}}}{6 \left(b x +a \right)^{2} a^{3}}-\frac{7 b \,x^{\frac{1}{3}}}{3 \left(b x +a \right)^{2} a^{2}}-\frac{20 \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{\frac{1}{3}}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{a}{b}\right)^{\frac{2}{3}} a^{3}}-\frac{20 \ln \left(x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{a}{b}\right)^{\frac{2}{3}} a^{3}}+\frac{10 \ln \left(x^{\frac{2}{3}}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{\frac{1}{3}}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{9 \left(\frac{a}{b}\right)^{\frac{2}{3}} a^{3}}-\frac{3}{2 a^{3} x^{\frac{2}{3}}}"," ",0,"-3/2/a^3/x^(2/3)-11/6/a^3*b^2/(b*x+a)^2*x^(4/3)-7/3/a^2*b/(b*x+a)^2*x^(1/3)-20/9/a^3/(a/b)^(2/3)*ln(x^(1/3)+(a/b)^(1/3))+10/9/a^3/(a/b)^(2/3)*ln(x^(2/3)-(a/b)^(1/3)*x^(1/3)+(a/b)^(2/3))-20/9/a^3/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^(1/3)-1))","A"
698,1,62,46,0.010000," ","int((-x+1)^(1/4)/(1+x),x)","-2 \,2^{\frac{1}{4}} \arctan \left(\frac{\left(-x +1\right)^{\frac{1}{4}} 2^{\frac{3}{4}}}{2}\right)-2^{\frac{1}{4}} \ln \left(\frac{\left(-x +1\right)^{\frac{1}{4}}+2^{\frac{1}{4}}}{\left(-x +1\right)^{\frac{1}{4}}-2^{\frac{1}{4}}}\right)+4 \left(-x +1\right)^{\frac{1}{4}}"," ",0,"4*(-x+1)^(1/4)-2*2^(1/4)*arctan(1/2*(-x+1)^(1/4)*2^(3/4))-2^(1/4)*ln(((-x+1)^(1/4)+2^(1/4))/((-x+1)^(1/4)-2^(1/4)))","A"
699,1,1535,187,0.007000," ","int(x^m*(b*x+a)^10,x)","\frac{\left(b^{10} m^{10} x^{10}+10 a \,b^{9} m^{10} x^{9}+55 b^{10} m^{9} x^{10}+45 a^{2} b^{8} m^{10} x^{8}+560 a \,b^{9} m^{9} x^{9}+1320 b^{10} m^{8} x^{10}+120 a^{3} b^{7} m^{10} x^{7}+2565 a^{2} b^{8} m^{9} x^{8}+13650 a \,b^{9} m^{8} x^{9}+18150 b^{10} m^{7} x^{10}+210 a^{4} b^{6} m^{10} x^{6}+6960 a^{3} b^{7} m^{9} x^{7}+63540 a^{2} b^{8} m^{8} x^{8}+190200 a \,b^{9} m^{7} x^{9}+157773 b^{10} m^{6} x^{10}+252 a^{5} b^{5} m^{10} x^{5}+12390 a^{4} b^{6} m^{9} x^{6}+175320 a^{3} b^{7} m^{8} x^{7}+898290 a^{2} b^{8} m^{7} x^{8}+1672230 a \,b^{9} m^{6} x^{9}+902055 b^{10} m^{5} x^{10}+210 a^{6} b^{4} m^{10} x^{4}+15120 a^{5} b^{5} m^{9} x^{5}+317520 a^{4} b^{6} m^{8} x^{6}+2517840 a^{3} b^{7} m^{7} x^{7}+7999425 a^{2} b^{8} m^{6} x^{8}+9653280 a \,b^{9} m^{5} x^{9}+3416930 b^{10} m^{4} x^{10}+120 a^{7} b^{3} m^{10} x^{3}+12810 a^{6} b^{4} m^{9} x^{4}+394380 a^{5} b^{5} m^{8} x^{5}+4638060 a^{4} b^{6} m^{7} x^{6}+22748040 a^{3} b^{7} m^{6} x^{7}+46695285 a^{2} b^{8} m^{5} x^{8}+36862550 a \,b^{9} m^{4} x^{9}+8409500 b^{10} m^{3} x^{10}+45 a^{8} b^{2} m^{10} x^{2}+7440 a^{7} b^{3} m^{9} x^{3}+340200 a^{6} b^{4} m^{8} x^{4}+5866560 a^{5} b^{5} m^{7} x^{5}+42592410 a^{4} b^{6} m^{6} x^{6}+134522640 a^{3} b^{7} m^{5} x^{7}+180021510 a^{2} b^{8} m^{4} x^{8}+91331800 a \,b^{9} m^{3} x^{9}+12753576 b^{10} m^{2} x^{10}+10 a^{9} b \,m^{10} x +2835 a^{8} b^{2} m^{9} x^{2}+201240 a^{7} b^{3} m^{8} x^{3}+5159700 a^{6} b^{4} m^{7} x^{4}+54871236 a^{5} b^{5} m^{6} x^{5}+255740310 a^{4} b^{6} m^{5} x^{6}+524563080 a^{3} b^{7} m^{4} x^{7}+449614260 a^{2} b^{8} m^{3} x^{8}+139262760 a \,b^{9} m^{2} x^{9}+10628640 b^{10} m \,x^{10}+a^{10} m^{10}+640 a^{9} b \,m^{9} x +78120 a^{8} b^{2} m^{8} x^{2}+3115440 a^{7} b^{3} m^{7} x^{3}+49260330 a^{6} b^{4} m^{6} x^{4}+335437200 a^{5} b^{5} m^{5} x^{5}+1011120180 a^{4} b^{6} m^{4} x^{6}+1322982960 a^{3} b^{7} m^{3} x^{7}+690085080 a^{2} b^{8} m^{2} x^{8}+116552160 a \,b^{9} m \,x^{9}+3628800 b^{10} x^{10}+65 a^{10} m^{9}+17970 a^{9} b \,m^{8} x +1235790 a^{8} b^{2} m^{7} x^{2}+30429000 a^{7} b^{3} m^{6} x^{3}+307585530 a^{6} b^{4} m^{5} x^{4}+1348939620 a^{5} b^{5} m^{4} x^{5}+2581262040 a^{4} b^{6} m^{3} x^{6}+2047105440 a^{3} b^{7} m^{2} x^{7}+580543200 a^{2} b^{8} m \,x^{8}+39916800 a \,b^{9} x^{9}+1860 a^{10} m^{8}+290760 a^{9} b \,m^{7} x +12376665 a^{8} b^{2} m^{6} x^{2}+194790960 a^{7} b^{3} m^{5} x^{3}+1263374700 a^{6} b^{4} m^{4} x^{4}+3497286240 a^{5} b^{5} m^{3} x^{5}+4035361680 a^{4} b^{6} m^{2} x^{6}+1733313600 a^{3} b^{7} m \,x^{7}+199584000 a^{2} b^{8} x^{8}+30810 a^{10} m^{7}+2992710 a^{9} b \,m^{6} x +81560115 a^{8} b^{2} m^{5} x^{2}+821580360 a^{7} b^{3} m^{4} x^{3}+3342229800 a^{6} b^{4} m^{3} x^{4}+5541317712 a^{5} b^{5} m^{2} x^{5}+3445243200 a^{4} b^{6} m \,x^{6}+598752000 a^{3} b^{7} x^{7}+326613 a^{10} m^{6}+20390160 a^{9} b \,m^{5} x +355598730 a^{8} b^{2} m^{4} x^{2}+2233166160 a^{7} b^{3} m^{3} x^{3}+5393046960 a^{6} b^{4} m^{2} x^{4}+4783423680 a^{5} b^{5} m \,x^{5}+1197504000 a^{4} b^{6} x^{6}+2310945 a^{10} m^{5}+92615030 a^{9} b \,m^{4} x +1003011660 a^{8} b^{2} m^{3} x^{2}+3698304480 a^{7} b^{3} m^{2} x^{3}+4727540160 a^{6} b^{4} m \,x^{4}+1676505600 a^{5} b^{5} x^{5}+11028590 a^{10} m^{4}+274727240 a^{9} b \,m^{3} x +1727578440 a^{8} b^{2} m^{2} x^{2}+3316939200 a^{7} b^{3} m \,x^{3}+1676505600 a^{6} b^{4} x^{4}+34967140 a^{10} m^{3}+503126280 a^{9} b \,m^{2} x +1608573600 a^{8} b^{2} m \,x^{2}+1197504000 a^{7} b^{3} x^{3}+70290936 a^{10} m^{2}+502927200 a^{9} b m x +598752000 a^{8} b^{2} x^{2}+80627040 a^{10} m +199584000 a^{9} b x +39916800 a^{10}\right) x^{m +1}}{\left(m +11\right) \left(m +10\right) \left(m +9\right) \left(m +8\right) \left(m +7\right) \left(m +6\right) \left(m +5\right) \left(m +4\right) \left(m +3\right) \left(m +2\right) \left(m +1\right)}"," ",0,"x^(m+1)*(b^10*m^10*x^10+10*a*b^9*m^10*x^9+55*b^10*m^9*x^10+45*a^2*b^8*m^10*x^8+560*a*b^9*m^9*x^9+1320*b^10*m^8*x^10+120*a^3*b^7*m^10*x^7+2565*a^2*b^8*m^9*x^8+13650*a*b^9*m^8*x^9+18150*b^10*m^7*x^10+210*a^4*b^6*m^10*x^6+6960*a^3*b^7*m^9*x^7+63540*a^2*b^8*m^8*x^8+190200*a*b^9*m^7*x^9+157773*b^10*m^6*x^10+252*a^5*b^5*m^10*x^5+12390*a^4*b^6*m^9*x^6+175320*a^3*b^7*m^8*x^7+898290*a^2*b^8*m^7*x^8+1672230*a*b^9*m^6*x^9+902055*b^10*m^5*x^10+210*a^6*b^4*m^10*x^4+15120*a^5*b^5*m^9*x^5+317520*a^4*b^6*m^8*x^6+2517840*a^3*b^7*m^7*x^7+7999425*a^2*b^8*m^6*x^8+9653280*a*b^9*m^5*x^9+3416930*b^10*m^4*x^10+120*a^7*b^3*m^10*x^3+12810*a^6*b^4*m^9*x^4+394380*a^5*b^5*m^8*x^5+4638060*a^4*b^6*m^7*x^6+22748040*a^3*b^7*m^6*x^7+46695285*a^2*b^8*m^5*x^8+36862550*a*b^9*m^4*x^9+8409500*b^10*m^3*x^10+45*a^8*b^2*m^10*x^2+7440*a^7*b^3*m^9*x^3+340200*a^6*b^4*m^8*x^4+5866560*a^5*b^5*m^7*x^5+42592410*a^4*b^6*m^6*x^6+134522640*a^3*b^7*m^5*x^7+180021510*a^2*b^8*m^4*x^8+91331800*a*b^9*m^3*x^9+12753576*b^10*m^2*x^10+10*a^9*b*m^10*x+2835*a^8*b^2*m^9*x^2+201240*a^7*b^3*m^8*x^3+5159700*a^6*b^4*m^7*x^4+54871236*a^5*b^5*m^6*x^5+255740310*a^4*b^6*m^5*x^6+524563080*a^3*b^7*m^4*x^7+449614260*a^2*b^8*m^3*x^8+139262760*a*b^9*m^2*x^9+10628640*b^10*m*x^10+a^10*m^10+640*a^9*b*m^9*x+78120*a^8*b^2*m^8*x^2+3115440*a^7*b^3*m^7*x^3+49260330*a^6*b^4*m^6*x^4+335437200*a^5*b^5*m^5*x^5+1011120180*a^4*b^6*m^4*x^6+1322982960*a^3*b^7*m^3*x^7+690085080*a^2*b^8*m^2*x^8+116552160*a*b^9*m*x^9+3628800*b^10*x^10+65*a^10*m^9+17970*a^9*b*m^8*x+1235790*a^8*b^2*m^7*x^2+30429000*a^7*b^3*m^6*x^3+307585530*a^6*b^4*m^5*x^4+1348939620*a^5*b^5*m^4*x^5+2581262040*a^4*b^6*m^3*x^6+2047105440*a^3*b^7*m^2*x^7+580543200*a^2*b^8*m*x^8+39916800*a*b^9*x^9+1860*a^10*m^8+290760*a^9*b*m^7*x+12376665*a^8*b^2*m^6*x^2+194790960*a^7*b^3*m^5*x^3+1263374700*a^6*b^4*m^4*x^4+3497286240*a^5*b^5*m^3*x^5+4035361680*a^4*b^6*m^2*x^6+1733313600*a^3*b^7*m*x^7+199584000*a^2*b^8*x^8+30810*a^10*m^7+2992710*a^9*b*m^6*x+81560115*a^8*b^2*m^5*x^2+821580360*a^7*b^3*m^4*x^3+3342229800*a^6*b^4*m^3*x^4+5541317712*a^5*b^5*m^2*x^5+3445243200*a^4*b^6*m*x^6+598752000*a^3*b^7*x^7+326613*a^10*m^6+20390160*a^9*b*m^5*x+355598730*a^8*b^2*m^4*x^2+2233166160*a^7*b^3*m^3*x^3+5393046960*a^6*b^4*m^2*x^4+4783423680*a^5*b^5*m*x^5+1197504000*a^4*b^6*x^6+2310945*a^10*m^5+92615030*a^9*b*m^4*x+1003011660*a^8*b^2*m^3*x^2+3698304480*a^7*b^3*m^2*x^3+4727540160*a^6*b^4*m*x^4+1676505600*a^5*b^5*x^5+11028590*a^10*m^4+274727240*a^9*b*m^3*x+1727578440*a^8*b^2*m^2*x^2+3316939200*a^7*b^3*m*x^3+1676505600*a^6*b^4*x^4+34967140*a^10*m^3+503126280*a^9*b*m^2*x+1608573600*a^8*b^2*m*x^2+1197504000*a^7*b^3*x^3+70290936*a^10*m^2+502927200*a^9*b*m*x+598752000*a^8*b^2*x^2+80627040*a^10*m+199584000*a^9*b*x+39916800*a^10)/(11+m)/(10+m)/(9+m)/(8+m)/(7+m)/(6+m)/(5+m)/(m+4)/(m+3)/(m+2)/(m+1)","B"
700,1,782,133,0.006000," ","int(x^m*(b*x+a)^7,x)","\frac{\left(b^{7} m^{7} x^{7}+7 a \,b^{6} m^{7} x^{6}+28 b^{7} m^{6} x^{7}+21 a^{2} b^{5} m^{7} x^{5}+203 a \,b^{6} m^{6} x^{6}+322 b^{7} m^{5} x^{7}+35 a^{3} b^{4} m^{7} x^{4}+630 a^{2} b^{5} m^{6} x^{5}+2401 a \,b^{6} m^{5} x^{6}+1960 b^{7} m^{4} x^{7}+35 a^{4} b^{3} m^{7} x^{3}+1085 a^{3} b^{4} m^{6} x^{4}+7686 a^{2} b^{5} m^{5} x^{5}+14945 a \,b^{6} m^{4} x^{6}+6769 b^{7} m^{3} x^{7}+21 a^{5} b^{2} m^{7} x^{2}+1120 a^{4} b^{3} m^{6} x^{3}+13685 a^{3} b^{4} m^{5} x^{4}+49140 a^{2} b^{5} m^{4} x^{5}+52528 a \,b^{6} m^{3} x^{6}+13132 b^{7} m^{2} x^{7}+7 a^{6} b \,m^{7} x +693 a^{5} b^{2} m^{6} x^{2}+14630 a^{4} b^{3} m^{5} x^{3}+90335 a^{3} b^{4} m^{4} x^{4}+176589 a^{2} b^{5} m^{3} x^{5}+103292 a \,b^{6} m^{2} x^{6}+13068 b^{7} m \,x^{7}+a^{7} m^{7}+238 a^{6} b \,m^{6} x +9387 a^{5} b^{2} m^{5} x^{2}+100240 a^{4} b^{3} m^{4} x^{3}+334040 a^{3} b^{4} m^{3} x^{4}+353430 a^{2} b^{5} m^{2} x^{5}+103824 a \,b^{6} m \,x^{6}+5040 b^{7} x^{7}+35 a^{7} m^{6}+3346 a^{6} b \,m^{5} x +67095 a^{5} b^{2} m^{4} x^{2}+384755 a^{4} b^{3} m^{3} x^{3}+684740 a^{3} b^{4} m^{2} x^{4}+360024 a^{2} b^{5} m \,x^{5}+40320 a \,b^{6} x^{6}+511 a^{7} m^{5}+25060 a^{6} b \,m^{4} x +270144 a^{5} b^{2} m^{3} x^{2}+815920 a^{4} b^{3} m^{2} x^{3}+710640 a^{3} b^{4} m \,x^{4}+141120 a^{2} b^{5} x^{5}+4025 a^{7} m^{4}+107023 a^{6} b \,m^{3} x +602532 a^{5} b^{2} m^{2} x^{2}+870660 a^{4} b^{3} m \,x^{3}+282240 a^{3} b^{4} x^{4}+18424 a^{7} m^{3}+256942 a^{6} b \,m^{2} x +673008 a^{5} b^{2} m \,x^{2}+352800 a^{4} b^{3} x^{3}+48860 a^{7} m^{2}+312984 a^{6} b m x +282240 a^{5} b^{2} x^{2}+69264 a^{7} m +141120 a^{6} b x +40320 a^{7}\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^7*m^7*x^7+7*a*b^6*m^7*x^6+28*b^7*m^6*x^7+21*a^2*b^5*m^7*x^5+203*a*b^6*m^6*x^6+322*b^7*m^5*x^7+35*a^3*b^4*m^7*x^4+630*a^2*b^5*m^6*x^5+2401*a*b^6*m^5*x^6+1960*b^7*m^4*x^7+35*a^4*b^3*m^7*x^3+1085*a^3*b^4*m^6*x^4+7686*a^2*b^5*m^5*x^5+14945*a*b^6*m^4*x^6+6769*b^7*m^3*x^7+21*a^5*b^2*m^7*x^2+1120*a^4*b^3*m^6*x^3+13685*a^3*b^4*m^5*x^4+49140*a^2*b^5*m^4*x^5+52528*a*b^6*m^3*x^6+13132*b^7*m^2*x^7+7*a^6*b*m^7*x+693*a^5*b^2*m^6*x^2+14630*a^4*b^3*m^5*x^3+90335*a^3*b^4*m^4*x^4+176589*a^2*b^5*m^3*x^5+103292*a*b^6*m^2*x^6+13068*b^7*m*x^7+a^7*m^7+238*a^6*b*m^6*x+9387*a^5*b^2*m^5*x^2+100240*a^4*b^3*m^4*x^3+334040*a^3*b^4*m^3*x^4+353430*a^2*b^5*m^2*x^5+103824*a*b^6*m*x^6+5040*b^7*x^7+35*a^7*m^6+3346*a^6*b*m^5*x+67095*a^5*b^2*m^4*x^2+384755*a^4*b^3*m^3*x^3+684740*a^3*b^4*m^2*x^4+360024*a^2*b^5*m*x^5+40320*a*b^6*x^6+511*a^7*m^5+25060*a^6*b*m^4*x+270144*a^5*b^2*m^3*x^2+815920*a^4*b^3*m^2*x^3+710640*a^3*b^4*m*x^4+141120*a^2*b^5*x^5+4025*a^7*m^4+107023*a^6*b*m^3*x+602532*a^5*b^2*m^2*x^2+870660*a^4*b^3*m*x^3+282240*a^3*b^4*x^4+18424*a^7*m^3+256942*a^6*b*m^2*x+673008*a^5*b^2*m*x^2+352800*a^4*b^3*x^3+48860*a^7*m^2+312984*a^6*b*m*x+282240*a^5*b^2*x^2+69264*a^7*m+141120*a^6*b*x+40320*a^7)/(m+8)/(m+7)/(m+6)/(m+5)/(m+4)/(m+3)/(m+2)/(m+1)","B"
701,1,170,61,0.000000," ","int(x^m*(b*x+a)^3,x)","\frac{\left(b^{3} m^{3} x^{3}+3 a \,b^{2} m^{3} x^{2}+6 b^{3} m^{2} x^{3}+3 a^{2} b \,m^{3} x +21 a \,b^{2} m^{2} x^{2}+11 b^{3} m \,x^{3}+a^{3} m^{3}+24 a^{2} b \,m^{2} x +42 a \,b^{2} m \,x^{2}+6 b^{3} x^{3}+9 a^{3} m^{2}+57 a^{2} b m x +24 a \,b^{2} x^{2}+26 a^{3} m +36 a^{2} b x +24 a^{3}\right) x^{m +1}}{\left(m +4\right) \left(m +3\right) \left(m +2\right) \left(m +1\right)}"," ",0,"(b^3*m^3*x^3+3*a*b^2*m^3*x^2+6*b^3*m^2*x^3+3*a^2*b*m^3*x+21*a*b^2*m^2*x^2+11*b^3*m*x^3+a^3*m^3+24*a^2*b*m^2*x+42*a*b^2*m*x^2+6*b^3*x^3+9*a^3*m^2+57*a^2*b*m*x+24*a*b^2*x^2+26*a^3*m+36*a^2*b*x+24*a^3)/(m+4)/(m+3)/(m+2)/(m+1)*x^(m+1)","B"
702,1,87,43,0.000000," ","int(x^m*(b*x+a)^2,x)","\frac{\left(b^{2} m^{2} x^{2}+2 a b \,m^{2} x +3 b^{2} m \,x^{2}+a^{2} m^{2}+8 a b m x +2 b^{2} x^{2}+5 a^{2} m +6 a b x +6 a^{2}\right) x^{m +1}}{\left(m +3\right) \left(m +2\right) \left(m +1\right)}"," ",0,"(b^2*m^2*x^2+2*a*b*m^2*x+3*b^2*m*x^2+a^2*m^2+8*a*b*m*x+2*b^2*x^2+5*a^2*m+6*a*b*x+6*a^2)/(m+3)/(m+2)/(m+1)*x^(m+1)","A"
703,1,31,25,0.000000," ","int(x^m*(b*x+a),x)","\frac{\left(b m x +a m +b x +2 a \right) x^{m +1}}{\left(m +2\right) \left(m +1\right)}"," ",0,"(b*m*x+a*m+b*x+2*a)/(m+2)/(m+1)*x^(m+1)","A"
704,0,0,31,0.035000," ","int(x^m/(b*x+a),x)","\int \frac{x^{m}}{b x +a}\, dx"," ",0,"int(x^m/(b*x+a),x)","F"
705,0,0,31,0.036000," ","int(x^m/(b*x+a)^2,x)","\int \frac{x^{m}}{\left(b x +a \right)^{2}}\, dx"," ",0,"int(x^m/(b*x+a)^2,x)","F"
706,0,0,31,0.044000," ","int(x^m/(b*x+a)^3,x)","\int \frac{x^{m}}{\left(b x +a \right)^{3}}\, dx"," ",0,"int(x^m/(b*x+a)^3,x)","F"
707,0,0,42,0.042000," ","int(x^m*(b*x+a)^(5/2),x)","\int \left(b x +a \right)^{\frac{5}{2}} x^{m}\, dx"," ",0,"int(x^m*(b*x+a)^(5/2),x)","F"
708,0,0,42,0.039000," ","int(x^m*(b*x+a)^(3/2),x)","\int \left(b x +a \right)^{\frac{3}{2}} x^{m}\, dx"," ",0,"int(x^m*(b*x+a)^(3/2),x)","F"
709,0,0,42,0.043000," ","int(x^m*(b*x+a)^(1/2),x)","\int \sqrt{b x +a}\, x^{m}\, dx"," ",0,"int(x^m*(b*x+a)^(1/2),x)","F"
710,0,0,42,0.040000," ","int(1/(b*x+a)^(1/2)*x^m,x)","\int \frac{x^{m}}{\sqrt{b x +a}}\, dx"," ",0,"int(1/(b*x+a)^(1/2)*x^m,x)","F"
711,0,0,42,0.037000," ","int(x^m/(b*x+a)^(3/2),x)","\int \frac{x^{m}}{\left(b x +a \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^m/(b*x+a)^(3/2),x)","F"
712,0,0,42,0.035000," ","int(x^m/(b*x+a)^(5/2),x)","\int \frac{x^{m}}{\left(b x +a \right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^m/(b*x+a)^(5/2),x)","F"
713,0,0,47,0.036000," ","int(x^(m+2)/(b*x+a)^(1/2),x)","\int \frac{x^{m +2}}{\sqrt{b x +a}}\, dx"," ",0,"int(x^(m+2)/(b*x+a)^(1/2),x)","F"
714,0,0,45,0.036000," ","int(x^(m+1)/(b*x+a)^(1/2),x)","\int \frac{x^{m +1}}{\sqrt{b x +a}}\, dx"," ",0,"int(x^(m+1)/(b*x+a)^(1/2),x)","F"
715,0,0,42,0.000000," ","int(1/(b*x+a)^(1/2)*x^m,x)","\int \frac{x^{m}}{\sqrt{b x +a}}\, dx"," ",0,"int(1/(b*x+a)^(1/2)*x^m,x)","F"
716,0,0,44,0.033000," ","int(x^(m-1)/(b*x+a)^(1/2),x)","\int \frac{x^{m -1}}{\sqrt{b x +a}}\, dx"," ",0,"int(x^(m-1)/(b*x+a)^(1/2),x)","F"
717,0,0,45,0.033000," ","int(x^(-2+m)/(b*x+a)^(1/2),x)","\int \frac{x^{m -2}}{\sqrt{b x +a}}\, dx"," ",0,"int(x^(-2+m)/(b*x+a)^(1/2),x)","F"
718,0,0,47,0.036000," ","int(x^(-3+m)/(b*x+a)^(1/2),x)","\int \frac{x^{m -3}}{\sqrt{b x +a}}\, dx"," ",0,"int(x^(-3+m)/(b*x+a)^(1/2),x)","F"
719,1,29,28,0.054000," ","int(x^m/(3*x+2)^(1/2),x)","\frac{\sqrt{2}\, x^{m +1} \hypergeom \left(\left[\frac{1}{2}, m +1\right], \left[m +2\right], -\frac{3 x}{2}\right)}{2 m +2}"," ",0,"1/2*x^(m+1)*hypergeom([1/2,m+1],[m+2],-3/2*x)/(m+1)*2^(1/2)","A"
720,1,29,28,0.052000," ","int(x^m/(2-3*x)^(1/2),x)","\frac{\sqrt{2}\, x^{m +1} \hypergeom \left(\left[\frac{1}{2}, m +1\right], \left[m +2\right], \frac{3 x}{2}\right)}{2 m +2}"," ",0,"1/2*x^(m+1)*hypergeom([1/2,m+1],[m+2],3/2*x)/(m+1)*2^(1/2)","A"
721,1,43,28,0.059000," ","int(x^m/(-2+3*x)^(1/2),x)","\frac{\sqrt{2}\, \sqrt{-\mathrm{signum}\left(x -\frac{2}{3}\right)}\, x^{m +1} \hypergeom \left(\left[\frac{1}{2}, m +1\right], \left[m +2\right], \frac{3 x}{2}\right)}{2 \left(m +1\right) \sqrt{\mathrm{signum}\left(x -\frac{2}{3}\right)}}"," ",0,"1/2*2^(1/2)/signum(x-2/3)^(1/2)*(-signum(x-2/3))^(1/2)/(m+1)*x^(m+1)*hypergeom([1/2,m+1],[m+2],3/2*x)","C"
722,1,30,44,0.038000," ","int(x^m/(-2-3*x)^(1/2),x)","-\frac{i \sqrt{2}\, x^{m +1} \hypergeom \left(\left[\frac{1}{2}, m +1\right], \left[m +2\right], -\frac{3 x}{2}\right)}{2 \left(m +1\right)}"," ",0,"-1/2*I*x^(m+1)*hypergeom([1/2,m+1],[m+2],-3/2*x)/(m+1)*2^(1/2)","C"
723,0,0,44,0.036000," ","int((-x)^m/(b*x+a)^(1/2),x)","\int \frac{\left(-x \right)^{m}}{\sqrt{b x +a}}\, dx"," ",0,"int((-x)^m/(b*x+a)^(1/2),x)","F"
724,1,30,30,0.062000," ","int((-x)^m/(3*x+2)^(1/2),x)","\frac{\sqrt{2}\, x \left(-x \right)^{m} \hypergeom \left(\left[\frac{1}{2}, m +1\right], \left[m +2\right], -\frac{3 x}{2}\right)}{2 m +2}"," ",0,"1/2*2^(1/2)*(-x)^m/(m+1)*x*hypergeom([1/2,m+1],[m+2],-3/2*x)","A"
725,1,30,30,0.046000," ","int((-x)^m/(2-3*x)^(1/2),x)","\frac{\sqrt{2}\, x \left(-x \right)^{m} \hypergeom \left(\left[\frac{1}{2}, m +1\right], \left[m +2\right], \frac{3 x}{2}\right)}{2 m +2}"," ",0,"1/2*2^(1/2)*(-x)^m/(m+1)*x*hypergeom([1/2,m+1],[m+2],3/2*x)","A"
726,1,44,43,0.064000," ","int((-x)^m/(-2+3*x)^(1/2),x)","\frac{\sqrt{2}\, \sqrt{-\mathrm{signum}\left(x -\frac{2}{3}\right)}\, x \left(-x \right)^{m} \hypergeom \left(\left[\frac{1}{2}, m +1\right], \left[m +2\right], \frac{3 x}{2}\right)}{2 \left(m +1\right) \sqrt{\mathrm{signum}\left(x -\frac{2}{3}\right)}}"," ",0,"1/2*2^(1/2)*(-x)^m/signum(x-2/3)^(1/2)*(-signum(x-2/3))^(1/2)/(m+1)*x*hypergeom([1/2,m+1],[m+2],3/2*x)","C"
727,1,31,29,0.042000," ","int((-x)^m/(-2-3*x)^(1/2),x)","-\frac{i \sqrt{2}\, x \left(-x \right)^{m} \hypergeom \left(\left[\frac{1}{2}, m +1\right], \left[m +2\right], -\frac{3 x}{2}\right)}{2 \left(m +1\right)}"," ",0,"-1/2*I*2^(1/2)*(-x)^m/(m+1)*x*hypergeom([1/2,m+1],[m+2],-3/2*x)","C"
728,1,23,22,0.051000," ","int(x^n/(-x+1)^(1/2),x)","\frac{x^{n +1} \hypergeom \left(\left[\frac{1}{2}, n +1\right], \left[n +2\right], x\right)}{n +1}"," ",0,"1/(n+1)*x^(n+1)*hypergeom([1/2,n+1],[2+n],x)","A"
729,0,0,26,0.043000," ","int(x^n/(-a*x+a)^(1/2),x)","\int \frac{x^{n}}{\sqrt{-a x +a}}\, dx"," ",0,"int(x^n/(-a*x+a)^(1/2),x)","F"
730,0,0,49,0.072000," ","int(x^m*(b*x+a)^n,x)","\int x^{m} \left(b x +a \right)^{n}\, dx"," ",0,"int(x^m*(b*x+a)^n,x)","F"
731,0,0,54,0.089000," ","int((c*x)^m*(b*x+a)^n,x)","\int \left(c x \right)^{m} \left(b x +a \right)^{n}\, dx"," ",0,"int((c*x)^m*(b*x+a)^n,x)","F"
732,1,126,83,0.007000," ","int(x^3*(b*x+a)^n,x)","-\frac{\left(-b^{3} n^{3} x^{3}-6 b^{3} n^{2} x^{3}+3 a \,b^{2} n^{2} x^{2}-11 b^{3} n \,x^{3}+9 a \,b^{2} n \,x^{2}-6 b^{3} x^{3}-6 a^{2} b n x +6 a \,b^{2} x^{2}-6 a^{2} b x +6 a^{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*n^3*x^3-6*b^3*n^2*x^3+3*a*b^2*n^2*x^2-11*b^3*n*x^3+9*a*b^2*n*x^2-6*b^3*x^3-6*a^2*b*n*x+6*a*b^2*x^2-6*a^2*b*x+6*a^3)/b^4/(n^4+10*n^3+35*n^2+50*n+24)","A"
733,1,73,60,0.006000," ","int(x^2*(b*x+a)^n,x)","\frac{\left(b^{2} n^{2} x^{2}+3 b^{2} n \,x^{2}-2 a b n x +2 b^{2} x^{2}-2 a b x +2 a^{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*n^2*x^2+3*b^2*n*x^2-2*a*b*n*x+2*b^2*x^2-2*a*b*x+2*a^2)/b^3/(n^3+6*n^2+11*n+6)","A"
734,1,36,39,0.002000," ","int(x*(b*x+a)^n,x)","-\frac{\left(-x n b -b x +a \right) \left(b x +a \right)^{n +1}}{\left(n^{2}+3 n +2\right) b^{2}}"," ",0,"-(b*x+a)^(n+1)*(-b*n*x-b*x+a)/b^2/(n^2+3*n+2)","A"
735,1,19,18,0.003000," ","int((b*x+a)^n,x)","\frac{\left(b x +a \right)^{n +1}}{\left(n +1\right) b}"," ",0,"(b*x+a)^(n+1)/b/(n+1)","A"
736,0,0,37,0.039000," ","int((b*x+a)^n/x,x)","\int \frac{\left(b x +a \right)^{n}}{x}\, dx"," ",0,"int((b*x+a)^n/x,x)","F"
737,0,0,37,0.040000," ","int((b*x+a)^n/x^2,x)","\int \frac{\left(b x +a \right)^{n}}{x^{2}}\, dx"," ",0,"int((b*x+a)^n/x^2,x)","F"
738,0,0,40,0.038000," ","int((b*x+a)^n/x^3,x)","\int \frac{\left(b x +a \right)^{n}}{x^{3}}\, dx"," ",0,"int((b*x+a)^n/x^3,x)","F"
739,1,77,106,0.006000," ","int(x^(-4+n)/((b*x+a)^n),x)","\frac{\left(b x +a \right) \left(a^{2} n^{2}+2 a b n x +2 b^{2} x^{2}-3 a^{2} n -2 a b x +2 a^{2}\right) x^{n -3} \left(b x +a \right)^{-n}}{\left(n -3\right) \left(n -2\right) \left(n -1\right) a^{3}}"," ",0,"x^(-3+n)*(b*x+a)*(a^2*n^2+2*a*b*n*x+2*b^2*x^2-3*a^2*n-2*a*b*x+2*a^2)/((b*x+a)^n)/(-3+n)/(-2+n)/(-1+n)/a^3","A"
740,1,44,64,0.005000," ","int(x^(n-3)/((b*x+a)^n),x)","\frac{\left(a n +b x -a \right) \left(b x +a \right) x^{n -2} \left(b x +a \right)^{-n}}{\left(n -2\right) \left(n -1\right) a^{2}}"," ",0,"x^(n-2)*(a*n+b*x-a)*(b*x+a)/((b*x+a)^n)/(n-2)/(n-1)/a^2","A"
741,1,29,28,0.003000," ","int(x^(n-2)/((b*x+a)^n),x)","\frac{\left(b x +a \right) x^{n -1} \left(b x +a \right)^{-n}}{\left(n -1\right) a}"," ",0,"(b*x+a)*x^(n-1)/a/(n-1)/((b*x+a)^n)","A"
742,0,0,41,0.061000," ","int(x^(n-1)/((b*x+a)^n),x)","\int x^{n -1} \left(b x +a \right)^{-n}\, dx"," ",0,"int(x^(n-1)/((b*x+a)^n),x)","F"
743,0,0,47,0.059000," ","int(x^n/((b*x+a)^n),x)","\int x^{n} \left(b x +a \right)^{-n}\, dx"," ",0,"int(x^n/((b*x+a)^n),x)","F"
744,0,0,47,0.063000," ","int(x^(n+1)/((b*x+a)^n),x)","\int x^{n +1} \left(b x +a \right)^{-n}\, dx"," ",0,"int(x^(n+1)/((b*x+a)^n),x)","F"
745,0,0,39,0.042000," ","int(x^(3/2)*(b*x+a)^n,x)","\int x^{\frac{3}{2}} \left(b x +a \right)^{n}\, dx"," ",0,"int(x^(3/2)*(b*x+a)^n,x)","F"
746,0,0,39,0.040000," ","int(x^(1/2)*(b*x+a)^n,x)","\int \sqrt{x}\, \left(b x +a \right)^{n}\, dx"," ",0,"int(x^(1/2)*(b*x+a)^n,x)","F"
747,0,0,39,0.036000," ","int((b*x+a)^n/x^(1/2),x)","\int \frac{\left(b x +a \right)^{n}}{\sqrt{x}}\, dx"," ",0,"int((b*x+a)^n/x^(1/2),x)","F"
748,0,0,39,0.038000," ","int((b*x+a)^n/x^(3/2),x)","\int \frac{\left(b x +a \right)^{n}}{x^{\frac{3}{2}}}\, dx"," ",0,"int((b*x+a)^n/x^(3/2),x)","F"
749,0,0,39,0.036000," ","int((b*x+a)^n/x^(5/2),x)","\int \frac{\left(b x +a \right)^{n}}{x^{\frac{5}{2}}}\, dx"," ",0,"int((b*x+a)^n/x^(5/2),x)","F"
750,1,32,35,0.091000," ","int((b*x)^m*(d*x+2)^n,x)","\frac{x 2^{n} \left(b x \right)^{m} \hypergeom \left(\left[-n , m +1\right], \left[m +2\right], -\frac{d x}{2}\right)}{m +1}"," ",0,"2^n*(b*x)^m/(m+1)*x*hypergeom([-n,m+1],[m+2],-1/2*d*x)","A"
751,0,0,42,0.125000," ","int((b*x)^m*(-b*c*x+c)^n,x)","\int \left(b x \right)^{m} \left(-b c x +c \right)^{n}\, dx"," ",0,"int((b*x)^m*(-b*c*x+c)^n,x)","F"
752,0,0,54,0.070000," ","int((b*x)^m*(d*x+c)^n,x)","\int \left(b x \right)^{m} \left(d x +c \right)^{n}\, dx"," ",0,"int((b*x)^m*(d*x+c)^n,x)","F"
753,1,20,19,0.003000," ","int(x^(n-1)*(b*x+a)^(-1-n),x)","\frac{x^{n} \left(b x +a \right)^{-n}}{a n}"," ",0,"(b*x+a)^(-n)*x^n/a/n","A"
754,1,41,58,0.005000," ","int(x^(-3-n)*(b*x+a)^n,x)","-\frac{\left(a n -b x +a \right) x^{-n -2} \left(b x +a \right)^{n +1}}{\left(n +2\right) \left(n +1\right) a^{2}}"," ",0,"-(b*x+a)^(n+1)*x^(-2-n)*(a*n-b*x+a)/(n+2)/(n+1)/a^2","A"
755,1,41,58,0.000000," ","int(x^(-3-n)*(b*x+a)^n,x)","-\frac{\left(a n -b x +a \right) x^{-n -2} \left(b x +a \right)^{n +1}}{\left(n +2\right) \left(n +1\right) a^{2}}"," ",0,"-(a*n-b*x+a)/(n+2)/(n+1)/a^2*x^(-n-2)*(b*x+a)^(n+1)","A"
756,1,21,27,0.006000," ","int(x^3*(b*x+a)*(c*x^2)^(1/2),x)","\frac{\left(5 b x +6 a \right) \sqrt{c \,x^{2}}\, x^{4}}{30}"," ",0,"1/30*x^4*(5*b*x+6*a)*(c*x^2)^(1/2)","A"
757,1,21,27,0.002000," ","int(x^2*(b*x+a)*(c*x^2)^(1/2),x)","\frac{\left(4 b x +5 a \right) \sqrt{c \,x^{2}}\, x^{3}}{20}"," ",0,"1/20*x^3*(4*b*x+5*a)*(c*x^2)^(1/2)","A"
758,1,21,27,0.004000," ","int(x*(b*x+a)*(c*x^2)^(1/2),x)","\frac{\left(3 b x +4 a \right) \sqrt{c \,x^{2}}\, x^{2}}{12}"," ",0,"1/12*x^2*(3*b*x+4*a)*(c*x^2)^(1/2)","A"
759,1,19,25,0.010000," ","int((b*x+a)*(c*x^2)^(1/2),x)","\frac{\left(2 b x +3 a \right) \sqrt{c \,x^{2}}\, x}{6}"," ",0,"1/6*x*(2*b*x+3*a)*(c*x^2)^(1/2)","A"
760,1,17,21,0.003000," ","int((b*x+a)*(c*x^2)^(1/2)/x,x)","\frac{\left(b x +2 a \right) \sqrt{c \,x^{2}}}{2}"," ",0,"1/2*(b*x+2*a)*(c*x^2)^(1/2)","A"
761,1,20,24,0.022000," ","int((b*x+a)*(c*x^2)^(1/2)/x^2,x)","\frac{\sqrt{c \,x^{2}}\, \left(a \ln \left(x \right)+b x \right)}{x}"," ",0,"(c*x^2)^(1/2)/x*(a*ln(x)+b*x)","A"
762,1,21,28,0.008000," ","int((b*x+a)*(c*x^2)^(1/2)/x^3,x)","\frac{\sqrt{c \,x^{2}}\, \left(b x \ln \left(x \right)-a \right)}{x^{2}}"," ",0,"(c*x^2)^(1/2)*(b*ln(x)*x-a)/x^2","A"
763,1,19,22,0.005000," ","int((b*x+a)*(c*x^2)^(1/2)/x^4,x)","-\frac{\left(2 b x +a \right) \sqrt{c \,x^{2}}}{2 x^{3}}"," ",0,"-1/2*(2*b*x+a)*(c*x^2)^(1/2)/x^3","A"
764,1,21,29,0.003000," ","int(x^3*(c*x^2)^(3/2)*(b*x+a),x)","\frac{\left(7 b x +8 a \right) \left(c \,x^{2}\right)^{\frac{3}{2}} x^{4}}{56}"," ",0,"1/56*x^4*(7*b*x+8*a)*(c*x^2)^(3/2)","A"
765,1,21,29,0.005000," ","int(x^2*(c*x^2)^(3/2)*(b*x+a),x)","\frac{\left(6 b x +7 a \right) \left(c \,x^{2}\right)^{\frac{3}{2}} x^{3}}{42}"," ",0,"1/42*x^3*(6*b*x+7*a)*(c*x^2)^(3/2)","A"
766,1,21,29,0.003000," ","int(x*(c*x^2)^(3/2)*(b*x+a),x)","\frac{\left(5 b x +6 a \right) \left(c \,x^{2}\right)^{\frac{3}{2}} x^{2}}{30}"," ",0,"1/30*x^2*(5*b*x+6*a)*(c*x^2)^(3/2)","A"
767,1,19,29,0.003000," ","int((c*x^2)^(3/2)*(b*x+a),x)","\frac{\left(4 b x +5 a \right) \left(c \,x^{2}\right)^{\frac{3}{2}} x}{20}"," ",0,"1/20*x*(4*b*x+5*a)*(c*x^2)^(3/2)","A"
768,1,18,29,0.005000," ","int((c*x^2)^(3/2)*(b*x+a)/x,x)","\frac{\left(3 b x +4 a \right) \left(c \,x^{2}\right)^{\frac{3}{2}}}{12}"," ",0,"1/12*(3*b*x+4*a)*(c*x^2)^(3/2)","A"
769,1,21,27,0.003000," ","int((c*x^2)^(3/2)*(b*x+a)/x^2,x)","\frac{\left(2 b x +3 a \right) \left(c \,x^{2}\right)^{\frac{3}{2}}}{6 x}"," ",0,"1/6/x*(2*b*x+3*a)*(c*x^2)^(3/2)","A"
770,1,20,23,0.003000," ","int((c*x^2)^(3/2)*(b*x+a)/x^3,x)","\frac{\left(b x +2 a \right) \left(c \,x^{2}\right)^{\frac{3}{2}}}{2 x^{2}}"," ",0,"1/2/x^2*(b*x+2*a)*(c*x^2)^(3/2)","A"
771,1,20,26,0.003000," ","int((c*x^2)^(3/2)*(b*x+a)/x^4,x)","\frac{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(a \ln \left(x \right)+b x \right)}{x^{3}}"," ",0,"(c*x^2)^(3/2)/x^3*(a*ln(x)+b*x)","A"
772,1,21,33,0.003000," ","int(x^3*(c*x^2)^(5/2)*(b*x+a),x)","\frac{\left(9 b x +10 a \right) \left(c \,x^{2}\right)^{\frac{5}{2}} x^{4}}{90}"," ",0,"1/90*x^4*(9*b*x+10*a)*(c*x^2)^(5/2)","A"
773,1,21,33,0.003000," ","int(x^2*(c*x^2)^(5/2)*(b*x+a),x)","\frac{\left(8 b x +9 a \right) \left(c \,x^{2}\right)^{\frac{5}{2}} x^{3}}{72}"," ",0,"1/72*x^3*(8*b*x+9*a)*(c*x^2)^(5/2)","A"
774,1,21,33,0.003000," ","int(x*(c*x^2)^(5/2)*(b*x+a),x)","\frac{\left(7 b x +8 a \right) \left(c \,x^{2}\right)^{\frac{5}{2}} x^{2}}{56}"," ",0,"1/56*x^2*(7*b*x+8*a)*(c*x^2)^(5/2)","A"
775,1,19,33,0.005000," ","int((c*x^2)^(5/2)*(b*x+a),x)","\frac{\left(6 b x +7 a \right) \left(c \,x^{2}\right)^{\frac{5}{2}} x}{42}"," ",0,"1/42*x*(6*b*x+7*a)*(c*x^2)^(5/2)","A"
776,1,18,33,0.002000," ","int((c*x^2)^(5/2)*(b*x+a)/x,x)","\frac{\left(5 b x +6 a \right) \left(c \,x^{2}\right)^{\frac{5}{2}}}{30}"," ",0,"1/30*(5*b*x+6*a)*(c*x^2)^(5/2)","A"
777,1,21,33,0.003000," ","int((c*x^2)^(5/2)*(b*x+a)/x^2,x)","\frac{\left(4 b x +5 a \right) \left(c \,x^{2}\right)^{\frac{5}{2}}}{20 x}"," ",0,"1/20/x*(4*b*x+5*a)*(c*x^2)^(5/2)","A"
778,1,21,33,0.003000," ","int((c*x^2)^(5/2)*(b*x+a)/x^3,x)","\frac{\left(3 b x +4 a \right) \left(c \,x^{2}\right)^{\frac{5}{2}}}{12 x^{2}}"," ",0,"1/12/x^2*(3*b*x+4*a)*(c*x^2)^(5/2)","A"
779,1,21,31,0.004000," ","int((c*x^2)^(5/2)*(b*x+a)/x^4,x)","\frac{\left(2 b x +3 a \right) \left(c \,x^{2}\right)^{\frac{5}{2}}}{6 x^{3}}"," ",0,"1/6/x^3*(2*b*x+3*a)*(c*x^2)^(5/2)","A"
780,1,21,27,0.003000," ","int(x^3*(b*x+a)/(c*x^2)^(1/2),x)","\frac{\left(3 b x +4 a \right) x^{4}}{12 \sqrt{c \,x^{2}}}"," ",0,"1/12*x^4*(3*b*x+4*a)/(c*x^2)^(1/2)","A"
781,1,21,27,0.003000," ","int(x^2*(b*x+a)/(c*x^2)^(1/2),x)","\frac{\left(2 b x +3 a \right) x^{3}}{6 \sqrt{c \,x^{2}}}"," ",0,"1/6*x^3*(2*b*x+3*a)/(c*x^2)^(1/2)","A"
782,1,20,26,0.003000," ","int(x*(b*x+a)/(c*x^2)^(1/2),x)","\frac{\left(b x +2 a \right) x^{2}}{2 \sqrt{c \,x^{2}}}"," ",0,"1/2*x^2*(b*x+2*a)/(c*x^2)^(1/2)","A"
783,1,18,25,0.004000," ","int((b*x+a)/(c*x^2)^(1/2),x)","\frac{\left(a \ln \left(x \right)+b x \right) x}{\sqrt{c \,x^{2}}}"," ",0,"1/(c*x^2)^(1/2)*x*(a*ln(x)+b*x)","A"
784,1,18,23,0.004000," ","int((b*x+a)/x/(c*x^2)^(1/2),x)","\frac{b x \ln \left(x \right)-a}{\sqrt{c \,x^{2}}}"," ",0,"(b*x*ln(x)-a)/(c*x^2)^(1/2)","A"
785,1,19,22,0.003000," ","int((b*x+a)/x^2/(c*x^2)^(1/2),x)","-\frac{2 b x +a}{2 \sqrt{c \,x^{2}}\, x}"," ",0,"-1/2*(2*b*x+a)/x/(c*x^2)^(1/2)","A"
786,1,21,27,0.005000," ","int((b*x+a)/x^3/(c*x^2)^(1/2),x)","-\frac{3 b x +2 a}{6 \sqrt{c \,x^{2}}\, x^{2}}"," ",0,"-1/6*(3*b*x+2*a)/x^2/(c*x^2)^(1/2)","A"
787,1,21,27,0.003000," ","int((b*x+a)/x^4/(c*x^2)^(1/2),x)","-\frac{4 b x +3 a}{12 \sqrt{c \,x^{2}}\, x^{3}}"," ",0,"-1/12*(4*b*x+3*a)/x^3/(c*x^2)^(1/2)","A"
788,1,20,32,0.003000," ","int(x^3*(b*x+a)/(c*x^2)^(3/2),x)","\frac{\left(b x +2 a \right) x^{4}}{2 \left(c \,x^{2}\right)^{\frac{3}{2}}}"," ",0,"1/2*x^4*(b*x+2*a)/(c*x^2)^(3/2)","A"
789,1,20,31,0.004000," ","int(x^2*(b*x+a)/(c*x^2)^(3/2),x)","\frac{\left(a \ln \left(x \right)+b x \right) x^{3}}{\left(c \,x^{2}\right)^{\frac{3}{2}}}"," ",0,"1/(c*x^2)^(3/2)*x^3*(a*ln(x)+b*x)","A"
790,1,21,29,0.003000," ","int(x*(b*x+a)/(c*x^2)^(3/2),x)","\frac{\left(b x \ln \left(x \right)-a \right) x^{2}}{\left(c \,x^{2}\right)^{\frac{3}{2}}}"," ",0,"x^2*(b*x*ln(x)-a)/(c*x^2)^(3/2)","A"
791,1,17,25,0.003000," ","int((b*x+a)/(c*x^2)^(3/2),x)","-\frac{\left(2 b x +a \right) x}{2 \left(c \,x^{2}\right)^{\frac{3}{2}}}"," ",0,"-1/2*x*(2*b*x+a)/(c*x^2)^(3/2)","A"
792,1,18,33,0.003000," ","int((b*x+a)/x/(c*x^2)^(3/2),x)","-\frac{3 b x +2 a}{6 \left(c \,x^{2}\right)^{\frac{3}{2}}}"," ",0,"-1/6*(3*b*x+2*a)/(c*x^2)^(3/2)","A"
793,1,21,33,0.004000," ","int((b*x+a)/x^2/(c*x^2)^(3/2),x)","-\frac{4 b x +3 a}{12 \left(c \,x^{2}\right)^{\frac{3}{2}} x}"," ",0,"-1/12*(4*b*x+3*a)/x/(c*x^2)^(3/2)","A"
794,1,21,33,0.004000," ","int((b*x+a)/x^3/(c*x^2)^(3/2),x)","-\frac{5 b x +4 a}{20 \left(c \,x^{2}\right)^{\frac{3}{2}} x^{2}}"," ",0,"-1/20*(5*b*x+4*a)/x^2/(c*x^2)^(3/2)","A"
795,1,21,33,0.004000," ","int((b*x+a)/x^4/(c*x^2)^(3/2),x)","-\frac{6 b x +5 a}{30 \left(c \,x^{2}\right)^{\frac{3}{2}} x^{3}}"," ",0,"-1/30*(6*b*x+5*a)/x^3/(c*x^2)^(3/2)","A"
796,1,21,29,0.004000," ","int(x^3*(b*x+a)/(c*x^2)^(5/2),x)","\frac{\left(b x \ln \left(x \right)-a \right) x^{4}}{\left(c \,x^{2}\right)^{\frac{5}{2}}}"," ",0,"x^4*(b*x*ln(x)-a)/(c*x^2)^(5/2)","A"
797,1,19,25,0.003000," ","int(x^2*(b*x+a)/(c*x^2)^(5/2),x)","-\frac{\left(2 b x +a \right) x^{3}}{2 \left(c \,x^{2}\right)^{\frac{5}{2}}}"," ",0,"-1/2*x^3*(2*b*x+a)/(c*x^2)^(5/2)","A"
798,1,21,33,0.003000," ","int(x*(b*x+a)/(c*x^2)^(5/2),x)","-\frac{\left(3 b x +2 a \right) x^{2}}{6 \left(c \,x^{2}\right)^{\frac{5}{2}}}"," ",0,"-1/6*x^2*(3*b*x+2*a)/(c*x^2)^(5/2)","A"
799,1,19,33,0.003000," ","int((b*x+a)/(c*x^2)^(5/2),x)","-\frac{\left(4 b x +3 a \right) x}{12 \left(c \,x^{2}\right)^{\frac{5}{2}}}"," ",0,"-1/12*x*(4*b*x+3*a)/(c*x^2)^(5/2)","A"
800,1,18,33,0.003000," ","int((b*x+a)/x/(c*x^2)^(5/2),x)","-\frac{5 b x +4 a}{20 \left(c \,x^{2}\right)^{\frac{5}{2}}}"," ",0,"-1/20*(5*b*x+4*a)/(c*x^2)^(5/2)","A"
801,1,21,33,0.004000," ","int((b*x+a)/x^2/(c*x^2)^(5/2),x)","-\frac{6 b x +5 a}{30 \left(c \,x^{2}\right)^{\frac{5}{2}} x}"," ",0,"-1/30*(6*b*x+5*a)/x/(c*x^2)^(5/2)","A"
802,1,21,33,0.005000," ","int((b*x+a)/x^3/(c*x^2)^(5/2),x)","-\frac{7 b x +6 a}{42 \left(c \,x^{2}\right)^{\frac{5}{2}} x^{2}}"," ",0,"-1/42*(7*b*x+6*a)/x^2/(c*x^2)^(5/2)","A"
803,1,21,33,0.002000," ","int((b*x+a)/x^4/(c*x^2)^(5/2),x)","-\frac{8 b x +7 a}{56 \left(c \,x^{2}\right)^{\frac{5}{2}} x^{3}}"," ",0,"-1/56*(8*b*x+7*a)/x^3/(c*x^2)^(5/2)","A"
804,1,32,45,0.004000," ","int(x^3*(b*x+a)^2*(c*x^2)^(1/2),x)","\frac{\left(15 b^{2} x^{2}+35 a b x +21 a^{2}\right) \sqrt{c \,x^{2}}\, x^{4}}{105}"," ",0,"1/105*x^4*(15*b^2*x^2+35*a*b*x+21*a^2)*(c*x^2)^(1/2)","A"
805,1,32,45,0.005000," ","int(x^2*(b*x+a)^2*(c*x^2)^(1/2),x)","\frac{\left(10 b^{2} x^{2}+24 a b x +15 a^{2}\right) \sqrt{c \,x^{2}}\, x^{3}}{60}"," ",0,"1/60*x^3*(10*b^2*x^2+24*a*b*x+15*a^2)*(c*x^2)^(1/2)","A"
806,1,32,45,0.004000," ","int(x*(b*x+a)^2*(c*x^2)^(1/2),x)","\frac{\left(6 b^{2} x^{2}+15 a b x +10 a^{2}\right) \sqrt{c \,x^{2}}\, x^{2}}{30}"," ",0,"1/30*x^2*(6*b^2*x^2+15*a*b*x+10*a^2)*(c*x^2)^(1/2)","A"
807,1,30,43,0.004000," ","int((b*x+a)^2*(c*x^2)^(1/2),x)","\frac{\left(3 b^{2} x^{2}+8 a b x +6 a^{2}\right) \sqrt{c \,x^{2}}\, x}{12}"," ",0,"1/12*x*(3*b^2*x^2+8*a*b*x+6*a^2)*(c*x^2)^(1/2)","A"
808,1,28,22,0.003000," ","int((b*x+a)^2*(c*x^2)^(1/2)/x,x)","\frac{\left(b^{2} x^{2}+3 a b x +3 a^{2}\right) \sqrt{c \,x^{2}}}{3}"," ",0,"1/3*(b^2*x^2+3*a*b*x+3*a^2)*(c*x^2)^(1/2)","A"
809,1,33,41,0.007000," ","int((b*x+a)^2*(c*x^2)^(1/2)/x^2,x)","\frac{\sqrt{c \,x^{2}}\, \left(b^{2} x^{2}+2 a^{2} \ln \left(x \right)+4 a b x \right)}{2 x}"," ",0,"1/2*(c*x^2)^(1/2)*(b^2*x^2+2*a^2*ln(x)+4*a*b*x)/x","A"
810,1,32,43,0.010000," ","int((b*x+a)^2*(c*x^2)^(1/2)/x^3,x)","\frac{\sqrt{c \,x^{2}}\, \left(2 a b x \ln \left(x \right)+b^{2} x^{2}-a^{2}\right)}{x^{2}}"," ",0,"(c*x^2)^(1/2)*(2*a*b*ln(x)*x+b^2*x^2-a^2)/x^2","A"
811,1,34,46,0.010000," ","int((b*x+a)^2*(c*x^2)^(1/2)/x^4,x)","\frac{\sqrt{c \,x^{2}}\, \left(2 b^{2} x^{2} \ln \left(x \right)-4 a b x -a^{2}\right)}{2 x^{3}}"," ",0,"1/2*(c*x^2)^(1/2)*(2*b^2*ln(x)*x^2-4*a*b*x-a^2)/x^3","A"
812,1,32,48,0.006000," ","int(x^3*(c*x^2)^(3/2)*(b*x+a)^2,x)","\frac{\left(28 b^{2} x^{2}+63 a b x +36 a^{2}\right) \left(c \,x^{2}\right)^{\frac{3}{2}} x^{4}}{252}"," ",0,"1/252*x^4*(28*b^2*x^2+63*a*b*x+36*a^2)*(c*x^2)^(3/2)","A"
813,1,32,48,0.005000," ","int(x^2*(c*x^2)^(3/2)*(b*x+a)^2,x)","\frac{\left(21 b^{2} x^{2}+48 a b x +28 a^{2}\right) \left(c \,x^{2}\right)^{\frac{3}{2}} x^{3}}{168}"," ",0,"1/168*x^3*(21*b^2*x^2+48*a*b*x+28*a^2)*(c*x^2)^(3/2)","A"
814,1,32,48,0.005000," ","int(x*(c*x^2)^(3/2)*(b*x+a)^2,x)","\frac{\left(15 b^{2} x^{2}+35 a b x +21 a^{2}\right) \left(c \,x^{2}\right)^{\frac{3}{2}} x^{2}}{105}"," ",0,"1/105*x^2*(15*b^2*x^2+35*a*b*x+21*a^2)*(c*x^2)^(3/2)","A"
815,1,30,48,0.006000," ","int((c*x^2)^(3/2)*(b*x+a)^2,x)","\frac{\left(10 b^{2} x^{2}+24 a b x +15 a^{2}\right) \left(c \,x^{2}\right)^{\frac{3}{2}} x}{60}"," ",0,"1/60*x*(10*b^2*x^2+24*a*b*x+15*a^2)*(c*x^2)^(3/2)","A"
816,1,29,48,0.003000," ","int((c*x^2)^(3/2)*(b*x+a)^2/x,x)","\frac{\left(6 b^{2} x^{2}+15 a b x +10 a^{2}\right) \left(c \,x^{2}\right)^{\frac{3}{2}}}{30}"," ",0,"1/30*(6*b^2*x^2+15*a*b*x+10*a^2)*(c*x^2)^(3/2)","A"
817,1,32,46,0.004000," ","int((c*x^2)^(3/2)*(b*x+a)^2/x^2,x)","\frac{\left(3 b^{2} x^{2}+8 a b x +6 a^{2}\right) \left(c \,x^{2}\right)^{\frac{3}{2}}}{12 x}"," ",0,"1/12/x*(3*b^2*x^2+8*a*b*x+6*a^2)*(c*x^2)^(3/2)","A"
818,1,31,23,0.003000," ","int((c*x^2)^(3/2)*(b*x+a)^2/x^3,x)","\frac{\left(b^{2} x^{2}+3 a b x +3 a^{2}\right) \left(c \,x^{2}\right)^{\frac{3}{2}}}{3 x^{2}}"," ",0,"1/3/x^2*(b^2*x^2+3*a*b*x+3*a^2)*(c*x^2)^(3/2)","A"
819,1,33,44,0.005000," ","int((c*x^2)^(3/2)*(b*x+a)^2/x^4,x)","\frac{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(b^{2} x^{2}+2 a^{2} \ln \left(x \right)+4 a b x \right)}{2 x^{3}}"," ",0,"1/2*(c*x^2)^(3/2)*(b^2*x^2+2*a^2*ln(x)+4*a*b*x)/x^3","A"
820,1,32,54,0.004000," ","int(x*(c*x^2)^(5/2)*(b*x+a)^2,x)","\frac{\left(28 b^{2} x^{2}+63 a b x +36 a^{2}\right) \left(c \,x^{2}\right)^{\frac{5}{2}} x^{2}}{252}"," ",0,"1/252*x^2*(28*b^2*x^2+63*a*b*x+36*a^2)*(c*x^2)^(5/2)","A"
821,1,30,54,0.005000," ","int((c*x^2)^(5/2)*(b*x+a)^2,x)","\frac{\left(21 b^{2} x^{2}+48 a b x +28 a^{2}\right) \left(c \,x^{2}\right)^{\frac{5}{2}} x}{168}"," ",0,"1/168*x*(21*b^2*x^2+48*a*b*x+28*a^2)*(c*x^2)^(5/2)","A"
822,1,29,54,0.004000," ","int((c*x^2)^(5/2)*(b*x+a)^2/x,x)","\frac{\left(15 b^{2} x^{2}+35 a b x +21 a^{2}\right) \left(c \,x^{2}\right)^{\frac{5}{2}}}{105}"," ",0,"1/105*(15*b^2*x^2+35*a*b*x+21*a^2)*(c*x^2)^(5/2)","A"
823,1,32,54,0.005000," ","int((c*x^2)^(5/2)*(b*x+a)^2/x^2,x)","\frac{\left(10 b^{2} x^{2}+24 a b x +15 a^{2}\right) \left(c \,x^{2}\right)^{\frac{5}{2}}}{60 x}"," ",0,"1/60/x*(10*b^2*x^2+24*a*b*x+15*a^2)*(c*x^2)^(5/2)","A"
824,1,32,54,0.004000," ","int((c*x^2)^(5/2)*(b*x+a)^2/x^3,x)","\frac{\left(6 b^{2} x^{2}+15 a b x +10 a^{2}\right) \left(c \,x^{2}\right)^{\frac{5}{2}}}{30 x^{2}}"," ",0,"1/30/x^2*(6*b^2*x^2+15*a*b*x+10*a^2)*(c*x^2)^(5/2)","A"
825,1,32,52,0.005000," ","int((c*x^2)^(5/2)*(b*x+a)^2/x^4,x)","\frac{\left(3 b^{2} x^{2}+8 a b x +6 a^{2}\right) \left(c \,x^{2}\right)^{\frac{5}{2}}}{12 x^{3}}"," ",0,"1/12/x^3*(3*b^2*x^2+8*a*b*x+6*a^2)*(c*x^2)^(5/2)","A"
826,1,31,25,0.002000," ","int((c*x^2)^(5/2)*(b*x+a)^2/x^5,x)","\frac{\left(b^{2} x^{2}+3 a b x +3 a^{2}\right) \left(c \,x^{2}\right)^{\frac{5}{2}}}{3 x^{4}}"," ",0,"1/3/x^4*(b^2*x^2+3*a*b*x+3*a^2)*(c*x^2)^(5/2)","A"
827,1,33,50,0.006000," ","int((c*x^2)^(5/2)*(b*x+a)^2/x^6,x)","\frac{\left(c \,x^{2}\right)^{\frac{5}{2}} \left(b^{2} x^{2}+2 a^{2} \ln \left(x \right)+4 a b x \right)}{2 x^{5}}"," ",0,"1/2*(c*x^2)^(5/2)*(b^2*x^2+2*a^2*ln(x)+4*a*b*x)/x^5","A"
828,1,32,45,0.004000," ","int(x^3*(b*x+a)^2/(c*x^2)^(1/2),x)","\frac{\left(6 b^{2} x^{2}+15 a b x +10 a^{2}\right) x^{4}}{30 \sqrt{c \,x^{2}}}"," ",0,"1/30*x^4*(6*b^2*x^2+15*a*b*x+10*a^2)/(c*x^2)^(1/2)","A"
829,1,32,45,0.002000," ","int(x^2*(b*x+a)^2/(c*x^2)^(1/2),x)","\frac{\left(3 b^{2} x^{2}+8 a b x +6 a^{2}\right) x^{3}}{12 \sqrt{c \,x^{2}}}"," ",0,"1/12*x^3*(3*b^2*x^2+8*a*b*x+6*a^2)/(c*x^2)^(1/2)","A"
830,1,31,20,0.003000," ","int(x*(b*x+a)^2/(c*x^2)^(1/2),x)","\frac{\left(b^{2} x^{2}+3 a b x +3 a^{2}\right) x^{2}}{3 \sqrt{c \,x^{2}}}"," ",0,"1/3*x^2*(b^2*x^2+3*a*b*x+3*a^2)/(c*x^2)^(1/2)","A"
831,1,31,44,0.005000," ","int((b*x+a)^2/(c*x^2)^(1/2),x)","\frac{\left(b^{2} x^{2}+2 a^{2} \ln \left(x \right)+4 a b x \right) x}{2 \sqrt{c \,x^{2}}}"," ",0,"1/2*x*(b^2*x^2+2*a^2*ln(x)+4*a*b*x)/(c*x^2)^(1/2)","A"
832,1,29,41,0.003000," ","int((b*x+a)^2/x/(c*x^2)^(1/2),x)","\frac{2 a b x \ln \left(x \right)+b^{2} x^{2}-a^{2}}{\sqrt{c \,x^{2}}}"," ",0,"(2*a*b*x*ln(x)+b^2*x^2-a^2)/(c*x^2)^(1/2)","A"
833,1,34,41,0.007000," ","int((b*x+a)^2/x^2/(c*x^2)^(1/2),x)","\frac{2 b^{2} x^{2} \ln \left(x \right)-4 a b x -a^{2}}{2 \sqrt{c \,x^{2}}\, x}"," ",0,"1/2/x*(2*b^2*x^2*ln(x)-4*a*b*x-a^2)/(c*x^2)^(1/2)","A"
834,1,30,22,0.005000," ","int((b*x+a)^2/x^3/(c*x^2)^(1/2),x)","-\frac{3 b^{2} x^{2}+3 a b x +a^{2}}{3 \sqrt{c \,x^{2}}\, x^{2}}"," ",0,"-1/3*(3*b^2*x^2+3*a*b*x+a^2)/x^2/(c*x^2)^(1/2)","A"
835,1,32,45,0.006000," ","int((b*x+a)^2/x^4/(c*x^2)^(1/2),x)","-\frac{6 b^{2} x^{2}+8 a b x +3 a^{2}}{12 \sqrt{c \,x^{2}}\, x^{3}}"," ",0,"-1/12*(6*b^2*x^2+8*a*b*x+3*a^2)/x^3/(c*x^2)^(1/2)","A"
836,1,31,23,0.003000," ","int(x^3*(b*x+a)^2/(c*x^2)^(3/2),x)","\frac{\left(b^{2} x^{2}+3 a b x +3 a^{2}\right) x^{4}}{3 \left(c \,x^{2}\right)^{\frac{3}{2}}}"," ",0,"1/3*x^4*(b^2*x^2+3*a*b*x+3*a^2)/(c*x^2)^(3/2)","A"
837,1,33,53,0.005000," ","int(x^2*(b*x+a)^2/(c*x^2)^(3/2),x)","\frac{\left(b^{2} x^{2}+2 a^{2} \ln \left(x \right)+4 a b x \right) x^{3}}{2 \left(c \,x^{2}\right)^{\frac{3}{2}}}"," ",0,"1/2*x^3*(b^2*x^2+2*a^2*ln(x)+4*a*b*x)/(c*x^2)^(3/2)","A"
838,1,32,50,0.004000," ","int(x*(b*x+a)^2/(c*x^2)^(3/2),x)","\frac{\left(2 a b x \ln \left(x \right)+b^{2} x^{2}-a^{2}\right) x^{2}}{\left(c \,x^{2}\right)^{\frac{3}{2}}}"," ",0,"x^2*(2*a*b*x*ln(x)+b^2*x^2-a^2)/(c*x^2)^(3/2)","A"
839,1,32,50,0.004000," ","int((b*x+a)^2/(c*x^2)^(3/2),x)","\frac{\left(2 b^{2} x^{2} \ln \left(x \right)-4 a b x -a^{2}\right) x}{2 \left(c \,x^{2}\right)^{\frac{3}{2}}}"," ",0,"1/2*x*(2*b^2*x^2*ln(x)-4*a*b*x-a^2)/(c*x^2)^(3/2)","A"
840,1,27,25,0.005000," ","int((b*x+a)^2/x/(c*x^2)^(3/2),x)","-\frac{3 b^{2} x^{2}+3 a b x +a^{2}}{3 \left(c \,x^{2}\right)^{\frac{3}{2}}}"," ",0,"-1/3*(3*b^2*x^2+3*a*b*x+a^2)/(c*x^2)^(3/2)","A"
841,1,32,54,0.006000," ","int((b*x+a)^2/x^2/(c*x^2)^(3/2),x)","-\frac{6 b^{2} x^{2}+8 a b x +3 a^{2}}{12 \left(c \,x^{2}\right)^{\frac{3}{2}} x}"," ",0,"-1/12*(6*b^2*x^2+8*a*b*x+3*a^2)/x/(c*x^2)^(3/2)","A"
842,1,32,54,0.005000," ","int((b*x+a)^2/x^3/(c*x^2)^(3/2),x)","-\frac{10 b^{2} x^{2}+15 a b x +6 a^{2}}{30 \left(c \,x^{2}\right)^{\frac{3}{2}} x^{2}}"," ",0,"-1/30*(10*b^2*x^2+15*a*b*x+6*a^2)/x^2/(c*x^2)^(3/2)","A"
843,1,32,54,0.005000," ","int((b*x+a)^2/x^4/(c*x^2)^(3/2),x)","-\frac{15 b^{2} x^{2}+24 a b x +10 a^{2}}{60 \left(c \,x^{2}\right)^{\frac{3}{2}} x^{3}}"," ",0,"-1/60*(15*b^2*x^2+24*a*b*x+10*a^2)/x^3/(c*x^2)^(3/2)","A"
844,1,32,50,0.005000," ","int(x^3*(b*x+a)^2/(c*x^2)^(5/2),x)","\frac{\left(2 a b x \ln \left(x \right)+b^{2} x^{2}-a^{2}\right) x^{4}}{\left(c \,x^{2}\right)^{\frac{5}{2}}}"," ",0,"x^4*(2*a*b*x*ln(x)+b^2*x^2-a^2)/(c*x^2)^(5/2)","A"
845,1,34,50,0.006000," ","int(x^2*(b*x+a)^2/(c*x^2)^(5/2),x)","\frac{\left(2 b^{2} x^{2} \ln \left(x \right)-4 a b x -a^{2}\right) x^{3}}{2 \left(c \,x^{2}\right)^{\frac{5}{2}}}"," ",0,"1/2*x^3*(2*b^2*x^2*ln(x)-4*a*b*x-a^2)/(c*x^2)^(5/2)","A"
846,1,30,25,0.004000," ","int(x*(b*x+a)^2/(c*x^2)^(5/2),x)","-\frac{\left(3 b^{2} x^{2}+3 a b x +a^{2}\right) x^{2}}{3 \left(c \,x^{2}\right)^{\frac{5}{2}}}"," ",0,"-1/3*x^2*(3*b^2*x^2+3*a*b*x+a^2)/(c*x^2)^(5/2)","A"
847,1,30,54,0.005000," ","int((b*x+a)^2/(c*x^2)^(5/2),x)","-\frac{\left(6 b^{2} x^{2}+8 a b x +3 a^{2}\right) x}{12 \left(c \,x^{2}\right)^{\frac{5}{2}}}"," ",0,"-1/12*x*(6*b^2*x^2+8*a*b*x+3*a^2)/(c*x^2)^(5/2)","A"
848,1,29,54,0.006000," ","int((b*x+a)^2/x/(c*x^2)^(5/2),x)","-\frac{10 b^{2} x^{2}+15 a b x +6 a^{2}}{30 \left(c \,x^{2}\right)^{\frac{5}{2}}}"," ",0,"-1/30*(10*b^2*x^2+15*a*b*x+6*a^2)/(c*x^2)^(5/2)","A"
849,1,32,54,0.004000," ","int((b*x+a)^2/x^2/(c*x^2)^(5/2),x)","-\frac{15 b^{2} x^{2}+24 a b x +10 a^{2}}{60 \left(c \,x^{2}\right)^{\frac{5}{2}} x}"," ",0,"-1/60*(15*b^2*x^2+24*a*b*x+10*a^2)/x/(c*x^2)^(5/2)","A"
850,1,32,54,0.005000," ","int((b*x+a)^2/x^3/(c*x^2)^(5/2),x)","-\frac{21 b^{2} x^{2}+35 a b x +15 a^{2}}{105 \left(c \,x^{2}\right)^{\frac{5}{2}} x^{2}}"," ",0,"-1/105*(21*b^2*x^2+35*a*b*x+15*a^2)/x^2/(c*x^2)^(5/2)","A"
851,1,32,54,0.006000," ","int((b*x+a)^2/x^4/(c*x^2)^(5/2),x)","-\frac{28 b^{2} x^{2}+48 a b x +21 a^{2}}{168 \left(c \,x^{2}\right)^{\frac{5}{2}} x^{3}}"," ",0,"-1/168*(28*b^2*x^2+48*a*b*x+21*a^2)/x^3/(c*x^2)^(5/2)","A"
852,1,63,86,0.006000," ","int(x^3*(c*x^2)^(1/2)/(b*x+a),x)","\frac{\sqrt{c \,x^{2}}\, \left(3 b^{4} x^{4}-4 a \,b^{3} x^{3}+6 a^{2} b^{2} x^{2}+12 a^{4} \ln \left(b x +a \right)-12 a^{3} b x \right)}{12 b^{5} x}"," ",0,"1/12*(c*x^2)^(1/2)*(3*b^4*x^4-4*x^3*a*b^3+6*x^2*a^2*b^2+12*a^4*ln(b*x+a)-12*b*x*a^3)/x/b^5","A"
853,1,52,68,0.008000," ","int(x^2*(c*x^2)^(1/2)/(b*x+a),x)","-\frac{\sqrt{c \,x^{2}}\, \left(-2 b^{3} x^{3}+3 a \,b^{2} x^{2}+6 a^{3} \ln \left(b x +a \right)-6 a^{2} b x \right)}{6 b^{4} x}"," ",0,"-1/6*(c*x^2)^(1/2)*(-2*b^3*x^3+3*a*b^2*x^2+6*a^3*ln(b*x+a)-6*a^2*b*x)/x/b^4","A"
854,1,40,50,0.007000," ","int(x*(c*x^2)^(1/2)/(b*x+a),x)","\frac{\sqrt{c \,x^{2}}\, \left(b^{2} x^{2}+2 a^{2} \ln \left(b x +a \right)-2 a b x \right)}{2 b^{3} x}"," ",0,"1/2*(c*x^2)^(1/2)*(b^2*x^2+2*a^2*ln(b*x+a)-2*a*b*x)/x/b^3","A"
855,1,29,34,0.005000," ","int((c*x^2)^(1/2)/(b*x+a),x)","-\frac{\sqrt{c \,x^{2}}\, \left(a \ln \left(b x +a \right)-b x \right)}{b^{2} x}"," ",0,"-(c*x^2)^(1/2)*(a*ln(b*x+a)-b*x)/b^2/x","A"
856,1,21,20,0.004000," ","int((c*x^2)^(1/2)/x/(b*x+a),x)","\frac{\sqrt{c \,x^{2}}\, \ln \left(b x +a \right)}{b x}"," ",0,"ln(b*x+a)*(c*x^2)^(1/2)/b/x","A"
857,1,26,38,0.008000," ","int((c*x^2)^(1/2)/x^2/(b*x+a),x)","\frac{\sqrt{c \,x^{2}}\, \left(\ln \left(x \right)-\ln \left(b x +a \right)\right)}{a x}"," ",0,"(c*x^2)^(1/2)*(ln(x)-ln(b*x+a))/x/a","A"
858,1,33,55,0.011000," ","int((c*x^2)^(1/2)/x^3/(b*x+a),x)","-\frac{\sqrt{c \,x^{2}}\, \left(b x \ln \left(x \right)-b x \ln \left(b x +a \right)+a \right)}{a^{2} x^{2}}"," ",0,"-(c*x^2)^(1/2)*(b*x*ln(x)-b*ln(b*x+a)*x+a)/x^2/a^2","A"
859,1,51,74,0.010000," ","int((c*x^2)^(1/2)/x^4/(b*x+a),x)","\frac{\sqrt{c \,x^{2}}\, \left(2 b^{2} x^{2} \ln \left(x \right)-2 b^{2} x^{2} \ln \left(b x +a \right)+2 a b x -a^{2}\right)}{2 a^{3} x^{3}}"," ",0,"1/2*(c*x^2)^(1/2)*(2*b^2*x^2*ln(x)-2*b^2*ln(b*x+a)*x^2+2*a*b*x-a^2)/a^3/x^3","A"
860,1,63,91,0.006000," ","int(x*(c*x^2)^(3/2)/(b*x+a),x)","\frac{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(3 b^{4} x^{4}-4 a \,b^{3} x^{3}+6 a^{2} b^{2} x^{2}+12 a^{4} \ln \left(b x +a \right)-12 a^{3} b x \right)}{12 b^{5} x^{3}}"," ",0,"1/12*(c*x^2)^(3/2)*(3*b^4*x^4-4*a*b^3*x^3+6*a^2*b^2*x^2+12*a^4*ln(b*x+a)-12*a^3*b*x)/x^3/b^5","A"
861,1,52,72,0.005000," ","int((c*x^2)^(3/2)/(b*x+a),x)","-\frac{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(-2 b^{3} x^{3}+3 a \,b^{2} x^{2}+6 a^{3} \ln \left(b x +a \right)-6 a^{2} b x \right)}{6 b^{4} x^{3}}"," ",0,"-1/6*(c*x^2)^(3/2)*(-2*b^3*x^3+3*a*b^2*x^2+6*a^3*ln(b*x+a)-6*a^2*b*x)/x^3/b^4","A"
862,1,40,53,0.005000," ","int((c*x^2)^(3/2)/x/(b*x+a),x)","\frac{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(b^{2} x^{2}+2 a^{2} \ln \left(b x +a \right)-2 a b x \right)}{2 b^{3} x^{3}}"," ",0,"1/2*(c*x^2)^(3/2)*(b^2*x^2+2*a^2*ln(b*x+a)-2*a*b*x)/b^3/x^3","A"
863,1,29,36,0.003000," ","int((c*x^2)^(3/2)/x^2/(b*x+a),x)","-\frac{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(a \ln \left(b x +a \right)-b x \right)}{b^{2} x^{3}}"," ",0,"-(c*x^2)^(3/2)*(a*ln(b*x+a)-b*x)/b^2/x^3","A"
864,1,21,21,0.004000," ","int((c*x^2)^(3/2)/x^3/(b*x+a),x)","\frac{\left(c \,x^{2}\right)^{\frac{3}{2}} \ln \left(b x +a \right)}{b \,x^{3}}"," ",0,"(c*x^2)^(3/2)/x^3*ln(b*x+a)/b","A"
865,1,26,40,0.005000," ","int((c*x^2)^(3/2)/x^4/(b*x+a),x)","\frac{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(\ln \left(x \right)-\ln \left(b x +a \right)\right)}{a \,x^{3}}"," ",0,"(c*x^2)^(3/2)*(ln(x)-ln(b*x+a))/a/x^3","A"
866,1,33,58,0.006000," ","int((c*x^2)^(3/2)/x^5/(b*x+a),x)","-\frac{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(b x \ln \left(x \right)-b x \ln \left(b x +a \right)+a \right)}{a^{2} x^{4}}"," ",0,"-(c*x^2)^(3/2)*(b*x*ln(x)-b*x*ln(b*x+a)+a)/x^4/a^2","A"
867,1,51,78,0.005000," ","int((c*x^2)^(3/2)/x^6/(b*x+a),x)","\frac{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(2 b^{2} x^{2} \ln \left(x \right)-2 b^{2} x^{2} \ln \left(b x +a \right)+2 a b x -a^{2}\right)}{2 a^{3} x^{5}}"," ",0,"1/2*(c*x^2)^(3/2)*(2*b^2*x^2*ln(x)-2*b^2*x^2*ln(b*x+a)+2*a*b*x-a^2)/x^5/a^3","A"
868,1,62,98,0.012000," ","int((c*x^2)^(3/2)/x^7/(b*x+a),x)","-\frac{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(6 b^{3} x^{3} \ln \left(x \right)-6 b^{3} x^{3} \ln \left(b x +a \right)+6 a \,b^{2} x^{2}-3 a^{2} b x +2 a^{3}\right)}{6 a^{4} x^{6}}"," ",0,"-1/6*(c*x^2)^(3/2)*(6*b^3*ln(x)*x^3-6*b^3*ln(b*x+a)*x^3+6*a*b^2*x^2-3*a^2*b*x+2*a^3)/x^6/a^4","A"
869,1,74,122,0.006000," ","int((c*x^2)^(5/2)/(b*x+a),x)","-\frac{\left(c \,x^{2}\right)^{\frac{5}{2}} \left(-12 b^{5} x^{5}+15 a \,b^{4} x^{4}-20 a^{2} b^{3} x^{3}+30 a^{3} b^{2} x^{2}+60 a^{5} \ln \left(b x +a \right)-60 a^{4} b x \right)}{60 b^{6} x^{5}}"," ",0,"-1/60*(c*x^2)^(5/2)*(-12*b^5*x^5+15*a*b^4*x^4-20*a^2*b^3*x^3+30*a^3*b^2*x^2+60*a^5*ln(b*x+a)-60*a^4*b*x)/x^5/b^6","A"
870,1,63,101,0.006000," ","int((c*x^2)^(5/2)/x/(b*x+a),x)","\frac{\left(c \,x^{2}\right)^{\frac{5}{2}} \left(3 b^{4} x^{4}-4 a \,b^{3} x^{3}+6 a^{2} b^{2} x^{2}+12 a^{4} \ln \left(b x +a \right)-12 a^{3} b x \right)}{12 b^{5} x^{5}}"," ",0,"1/12*(c*x^2)^(5/2)*(3*b^4*x^4-4*a*b^3*x^3+6*a^2*b^2*x^2+12*a^4*ln(b*x+a)-12*a^3*b*x)/b^5/x^5","A"
871,1,52,80,0.004000," ","int((c*x^2)^(5/2)/x^2/(b*x+a),x)","-\frac{\left(c \,x^{2}\right)^{\frac{5}{2}} \left(-2 b^{3} x^{3}+3 a \,b^{2} x^{2}+6 a^{3} \ln \left(b x +a \right)-6 a^{2} b x \right)}{6 b^{4} x^{5}}"," ",0,"-1/6*(c*x^2)^(5/2)*(-2*b^3*x^3+3*a*b^2*x^2+6*a^3*ln(b*x+a)-6*a^2*b*x)/x^5/b^4","A"
872,1,40,59,0.006000," ","int((c*x^2)^(5/2)/x^3/(b*x+a),x)","\frac{\left(c \,x^{2}\right)^{\frac{5}{2}} \left(b^{2} x^{2}+2 a^{2} \ln \left(b x +a \right)-2 a b x \right)}{2 b^{3} x^{5}}"," ",0,"1/2*(c*x^2)^(5/2)*(b^2*x^2+2*a^2*ln(b*x+a)-2*a*b*x)/x^5/b^3","A"
873,1,29,40,0.004000," ","int((c*x^2)^(5/2)/x^4/(b*x+a),x)","-\frac{\left(c \,x^{2}\right)^{\frac{5}{2}} \left(a \ln \left(b x +a \right)-b x \right)}{b^{2} x^{5}}"," ",0,"-(c*x^2)^(5/2)*(a*ln(b*x+a)-b*x)/x^5/b^2","A"
874,1,21,23,0.003000," ","int((c*x^2)^(5/2)/x^5/(b*x+a),x)","\frac{\left(c \,x^{2}\right)^{\frac{5}{2}} \ln \left(b x +a \right)}{b \,x^{5}}"," ",0,"(c*x^2)^(5/2)/x^5*ln(b*x+a)/b","A"
875,1,27,44,0.006000," ","int((c*x^2)^(5/2)/x^6/(b*x+a),x)","-\frac{\left(c \,x^{2}\right)^{\frac{5}{2}} \left(-\ln \left(x \right)+\ln \left(b x +a \right)\right)}{a \,x^{5}}"," ",0,"-(c*x^2)^(5/2)*(-ln(x)+ln(b*x+a))/x^5/a","A"
876,1,33,64,0.006000," ","int((c*x^2)^(5/2)/x^7/(b*x+a),x)","-\frac{\left(c \,x^{2}\right)^{\frac{5}{2}} \left(b x \ln \left(x \right)-b x \ln \left(b x +a \right)+a \right)}{a^{2} x^{6}}"," ",0,"-(c*x^2)^(5/2)*(b*x*ln(x)-b*x*ln(b*x+a)+a)/x^6/a^2","A"
877,1,50,71,0.006000," ","int(x^4/(b*x+a)/(c*x^2)^(1/2),x)","-\frac{\left(-2 b^{3} x^{3}+3 a \,b^{2} x^{2}+6 a^{3} \ln \left(b x +a \right)-6 a^{2} b x \right) x}{6 \sqrt{c \,x^{2}}\, b^{4}}"," ",0,"-1/6*x*(-2*b^3*x^3+3*a*b^2*x^2+6*a^3*ln(b*x+a)-6*a^2*b*x)/(c*x^2)^(1/2)/b^4","A"
878,1,38,53,0.004000," ","int(x^3/(b*x+a)/(c*x^2)^(1/2),x)","\frac{\left(b^{2} x^{2}+2 a^{2} \ln \left(b x +a \right)-2 a b x \right) x}{2 \sqrt{c \,x^{2}}\, b^{3}}"," ",0,"1/2*x*(b^2*x^2+2*a^2*ln(b*x+a)-2*a*b*x)/(c*x^2)^(1/2)/b^3","A"
879,1,27,35,0.003000," ","int(x^2/(b*x+a)/(c*x^2)^(1/2),x)","-\frac{\left(a \ln \left(b x +a \right)-b x \right) x}{\sqrt{c \,x^{2}}\, b^{2}}"," ",0,"-x*(a*ln(b*x+a)-b*x)/(c*x^2)^(1/2)/b^2","A"
880,1,19,18,0.005000," ","int(x/(b*x+a)/(c*x^2)^(1/2),x)","\frac{x \ln \left(b x +a \right)}{\sqrt{c \,x^{2}}\, b}"," ",0,"x*ln(b*x+a)/b/(c*x^2)^(1/2)","A"
881,1,24,34,0.005000," ","int(1/(b*x+a)/(c*x^2)^(1/2),x)","\frac{\left(\ln \left(x \right)-\ln \left(b x +a \right)\right) x}{\sqrt{c \,x^{2}}\, a}"," ",0,"x*(ln(x)-ln(b*x+a))/(c*x^2)^(1/2)/a","A"
882,1,30,48,0.006000," ","int(1/x/(b*x+a)/(c*x^2)^(1/2),x)","-\frac{b x \ln \left(x \right)-b x \ln \left(b x +a \right)+a}{\sqrt{c \,x^{2}}\, a^{2}}"," ",0,"-(b*x*ln(x)-b*x*ln(b*x+a)+a)/(c*x^2)^(1/2)/a^2","A"
883,1,51,67,0.005000," ","int(1/x^2/(b*x+a)/(c*x^2)^(1/2),x)","\frac{2 b^{2} x^{2} \ln \left(x \right)-2 b^{2} x^{2} \ln \left(b x +a \right)+2 a b x -a^{2}}{2 \sqrt{c \,x^{2}}\, a^{3} x}"," ",0,"1/2/x*(2*b^2*x^2*ln(x)-2*b^2*x^2*ln(b*x+a)+2*a*b*x-a^2)/(c*x^2)^(1/2)/a^3","A"
884,1,62,86,0.005000," ","int(1/x^3/(b*x+a)/(c*x^2)^(1/2),x)","-\frac{6 b^{3} x^{3} \ln \left(x \right)-6 b^{3} x^{3} \ln \left(b x +a \right)+6 a \,b^{2} x^{2}-3 a^{2} b x +2 a^{3}}{6 \sqrt{c \,x^{2}}\, a^{4} x^{2}}"," ",0,"-1/6/x^2*(6*b^3*x^3*ln(x)-6*b^3*x^3*ln(b*x+a)+6*a*b^2*x^2-3*a^2*b*x+2*a^3)/(c*x^2)^(1/2)/a^4","A"
885,1,52,83,0.006000," ","int(x^6/(c*x^2)^(3/2)/(b*x+a),x)","-\frac{\left(-2 b^{3} x^{3}+3 a \,b^{2} x^{2}+6 a^{3} \ln \left(b x +a \right)-6 a^{2} b x \right) x^{3}}{6 \left(c \,x^{2}\right)^{\frac{3}{2}} b^{4}}"," ",0,"-1/6*x^3*(-2*b^3*x^3+3*a*b^2*x^2+6*a^3*ln(b*x+a)-6*a^2*b*x)/(c*x^2)^(3/2)/b^4","A"
886,1,40,62,0.005000," ","int(x^5/(c*x^2)^(3/2)/(b*x+a),x)","\frac{\left(b^{2} x^{2}+2 a^{2} \ln \left(b x +a \right)-2 a b x \right) x^{3}}{2 \left(c \,x^{2}\right)^{\frac{3}{2}} b^{3}}"," ",0,"1/2*x^3*(b^2*x^2+2*a^2*ln(b*x+a)-2*a*b*x)/(c*x^2)^(3/2)/b^3","A"
887,1,29,41,0.004000," ","int(x^4/(c*x^2)^(3/2)/(b*x+a),x)","-\frac{\left(a \ln \left(b x +a \right)-b x \right) x^{3}}{\left(c \,x^{2}\right)^{\frac{3}{2}} b^{2}}"," ",0,"-x^3*(a*ln(b*x+a)-b*x)/(c*x^2)^(3/2)/b^2","A"
888,1,21,21,0.002000," ","int(x^3/(c*x^2)^(3/2)/(b*x+a),x)","\frac{x^{3} \ln \left(b x +a \right)}{\left(c \,x^{2}\right)^{\frac{3}{2}} b}"," ",0,"1/(c*x^2)^(3/2)*x^3*ln(b*x+a)/b","A"
889,1,26,40,0.005000," ","int(x^2/(c*x^2)^(3/2)/(b*x+a),x)","\frac{\left(\ln \left(x \right)-\ln \left(b x +a \right)\right) x^{3}}{\left(c \,x^{2}\right)^{\frac{3}{2}} a}"," ",0,"x^3*(ln(x)-ln(b*x+a))/(c*x^2)^(3/2)/a","A"
890,1,33,57,0.006000," ","int(x/(c*x^2)^(3/2)/(b*x+a),x)","-\frac{\left(b x \ln \left(x \right)-b x \ln \left(b x +a \right)+a \right) x^{2}}{\left(c \,x^{2}\right)^{\frac{3}{2}} a^{2}}"," ",0,"-x^2*(b*x*ln(x)-b*x*ln(b*x+a)+a)/(c*x^2)^(3/2)/a^2","A"
891,1,49,79,0.006000," ","int(1/(c*x^2)^(3/2)/(b*x+a),x)","\frac{\left(2 b^{2} x^{2} \ln \left(x \right)-2 b^{2} x^{2} \ln \left(b x +a \right)+2 a b x -a^{2}\right) x}{2 \left(c \,x^{2}\right)^{\frac{3}{2}} a^{3}}"," ",0,"1/2*x*(2*b^2*x^2*ln(x)-2*b^2*x^2*ln(b*x+a)+2*a*b*x-a^2)/(c*x^2)^(3/2)/a^3","A"
892,1,59,101,0.006000," ","int(1/x/(c*x^2)^(3/2)/(b*x+a),x)","-\frac{6 b^{3} x^{3} \ln \left(x \right)-6 b^{3} x^{3} \ln \left(b x +a \right)+6 a \,b^{2} x^{2}-3 a^{2} b x +2 a^{3}}{6 \left(c \,x^{2}\right)^{\frac{3}{2}} a^{4}}"," ",0,"-1/6*(6*b^3*x^3*ln(x)-6*b^3*x^3*ln(b*x+a)+6*a*b^2*x^2-3*a^2*b*x+2*a^3)/(c*x^2)^(3/2)/a^4","A"
893,1,88,94,0.012000," ","int(x^3*(c*x^2)^(1/2)/(b*x+a)^2,x)","-\frac{\sqrt{c \,x^{2}}\, \left(-b^{4} x^{4}+2 a \,b^{3} x^{3}+12 a^{3} b x \ln \left(b x +a \right)-6 a^{2} b^{2} x^{2}+12 a^{4} \ln \left(b x +a \right)-9 a^{3} b x +3 a^{4}\right)}{3 \left(b x +a \right) b^{5} x}"," ",0,"-1/3*(c*x^2)^(1/2)*(-b^4*x^4+2*a*b^3*x^3+12*ln(b*x+a)*x*a^3*b-6*a^2*b^2*x^2+12*a^4*ln(b*x+a)-9*a^3*b*x+3*a^4)/x/b^5/(b*x+a)","A"
894,1,76,75,0.012000," ","int(x^2*(c*x^2)^(1/2)/(b*x+a)^2,x)","\frac{\sqrt{c \,x^{2}}\, \left(b^{3} x^{3}+6 a^{2} b x \ln \left(b x +a \right)-3 a \,b^{2} x^{2}+6 a^{3} \ln \left(b x +a \right)-4 a^{2} b x +2 a^{3}\right)}{2 \left(b x +a \right) b^{4} x}"," ",0,"1/2*(c*x^2)^(1/2)*(b^3*x^3+6*ln(b*x+a)*x*a^2*b-3*a*b^2*x^2+6*a^3*ln(b*x+a)-4*a^2*b*x+2*a^3)/x/b^4/(b*x+a)","A"
895,1,62,59,0.010000," ","int(x*(c*x^2)^(1/2)/(b*x+a)^2,x)","-\frac{\sqrt{c \,x^{2}}\, \left(2 a b x \ln \left(b x +a \right)-b^{2} x^{2}+2 a^{2} \ln \left(b x +a \right)-a b x +a^{2}\right)}{\left(b x +a \right) b^{3} x}"," ",0,"-(c*x^2)^(1/2)*(2*ln(b*x+a)*x*a*b-b^2*x^2+2*a^2*ln(b*x+a)-a*b*x+a^2)/x/b^3/(b*x+a)","A"
896,1,41,43,0.008000," ","int((c*x^2)^(1/2)/(b*x+a)^2,x)","\frac{\sqrt{c \,x^{2}}\, \left(b x \ln \left(b x +a \right)+a \ln \left(b x +a \right)+a \right)}{\left(b x +a \right) b^{2} x}"," ",0,"(c*x^2)^(1/2)*(b*x*ln(b*x+a)+a*ln(b*x+a)+a)/x/b^2/(b*x+a)","A"
897,1,23,22,0.004000," ","int((c*x^2)^(1/2)/x/(b*x+a)^2,x)","-\frac{\sqrt{c \,x^{2}}}{\left(b x +a \right) b x}"," ",0,"-(c*x^2)^(1/2)/b/x/(b*x+a)","A"
898,1,52,59,0.011000," ","int((c*x^2)^(1/2)/x^2/(b*x+a)^2,x)","\frac{\sqrt{c \,x^{2}}\, \left(b x \ln \left(x \right)-b x \ln \left(b x +a \right)+a \ln \left(x \right)-a \ln \left(b x +a \right)+a \right)}{\left(b x +a \right) a^{2} x}"," ",0,"(c*x^2)^(1/2)*(b*x*ln(x)-b*x*ln(b*x+a)+a*ln(x)-a*ln(b*x+a)+a)/x/a^2/(b*x+a)","A"
899,1,74,79,0.013000," ","int((c*x^2)^(1/2)/x^3/(b*x+a)^2,x)","-\frac{\sqrt{c \,x^{2}}\, \left(2 b^{2} x^{2} \ln \left(x \right)-2 b^{2} x^{2} \ln \left(b x +a \right)+2 a b x \ln \left(x \right)-2 a b x \ln \left(b x +a \right)+2 a b x +a^{2}\right)}{\left(b x +a \right) a^{3} x^{2}}"," ",0,"-(c*x^2)^(1/2)*(2*b^2*x^2*ln(x)-2*b^2*x^2*ln(b*x+a)+2*a*b*x*ln(x)-2*a*b*x*ln(b*x+a)+2*a*b*x+a^2)/x^2/a^3/(b*x+a)","A"
900,1,95,100,0.016000," ","int((c*x^2)^(1/2)/x^4/(b*x+a)^2,x)","\frac{\sqrt{c \,x^{2}}\, \left(6 b^{3} x^{3} \ln \left(x \right)-6 b^{3} x^{3} \ln \left(b x +a \right)+6 a \,b^{2} x^{2} \ln \left(x \right)-6 a \,b^{2} x^{2} \ln \left(b x +a \right)+6 a \,b^{2} x^{2}+3 a^{2} b x -a^{3}\right)}{2 \left(b x +a \right) a^{4} x^{3}}"," ",0,"1/2*(c*x^2)^(1/2)*(6*b^3*x^3*ln(x)-6*b^3*x^3*ln(b*x+a)+6*ln(x)*x^2*a*b^2-6*ln(b*x+a)*x^2*a*b^2+6*a*b^2*x^2+3*a^2*b*x-a^3)/x^3/a^4/(b*x+a)","A"
901,1,88,99,0.007000," ","int(x*(c*x^2)^(3/2)/(b*x+a)^2,x)","-\frac{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(-b^{4} x^{4}+2 a \,b^{3} x^{3}+12 a^{3} b x \ln \left(b x +a \right)-6 a^{2} b^{2} x^{2}+12 a^{4} \ln \left(b x +a \right)-9 a^{3} b x +3 a^{4}\right)}{3 \left(b x +a \right) b^{5} x^{3}}"," ",0,"-1/3*(c*x^2)^(3/2)*(-b^4*x^4+2*a*b^3*x^3+12*a^3*b*x*ln(b*x+a)-6*a^2*b^2*x^2+12*a^4*ln(b*x+a)-9*a^3*b*x+3*a^4)/x^3/b^5/(b*x+a)","A"
902,1,76,79,0.005000," ","int((c*x^2)^(3/2)/(b*x+a)^2,x)","\frac{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(b^{3} x^{3}+6 a^{2} b x \ln \left(b x +a \right)-3 a \,b^{2} x^{2}+6 a^{3} \ln \left(b x +a \right)-4 a^{2} b x +2 a^{3}\right)}{2 \left(b x +a \right) b^{4} x^{3}}"," ",0,"1/2*(c*x^2)^(3/2)*(b^3*x^3+6*a^2*b*x*ln(b*x+a)-3*a*b^2*x^2+6*a^3*ln(b*x+a)-4*a^2*b*x+2*a^3)/x^3/b^4/(b*x+a)","A"
903,1,62,62,0.006000," ","int((c*x^2)^(3/2)/x/(b*x+a)^2,x)","-\frac{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(2 a b x \ln \left(b x +a \right)-b^{2} x^{2}+2 a^{2} \ln \left(b x +a \right)-a b x +a^{2}\right)}{\left(b x +a \right) b^{3} x^{3}}"," ",0,"-(c*x^2)^(3/2)*(2*a*b*x*ln(b*x+a)-b^2*x^2+2*a^2*ln(b*x+a)-a*b*x+a^2)/x^3/b^3/(b*x+a)","A"
904,1,41,45,0.004000," ","int((c*x^2)^(3/2)/x^2/(b*x+a)^2,x)","\frac{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(b x \ln \left(b x +a \right)+a \ln \left(b x +a \right)+a \right)}{\left(b x +a \right) b^{2} x^{3}}"," ",0,"(c*x^2)^(3/2)*(b*x*ln(b*x+a)+a*ln(b*x+a)+a)/x^3/b^2/(b*x+a)","A"
905,1,23,23,0.003000," ","int((c*x^2)^(3/2)/x^3/(b*x+a)^2,x)","-\frac{\left(c \,x^{2}\right)^{\frac{3}{2}}}{\left(b x +a \right) b \,x^{3}}"," ",0,"-1/(b*x+a)/b*(c*x^2)^(3/2)/x^3","A"
906,1,52,62,0.006000," ","int((c*x^2)^(3/2)/x^4/(b*x+a)^2,x)","\frac{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(b x \ln \left(x \right)-b x \ln \left(b x +a \right)+a \ln \left(x \right)-a \ln \left(b x +a \right)+a \right)}{\left(b x +a \right) a^{2} x^{3}}"," ",0,"(c*x^2)^(3/2)*(b*x*ln(x)-b*x*ln(b*x+a)+a*ln(x)-a*ln(b*x+a)+a)/x^3/a^2/(b*x+a)","A"
907,1,74,83,0.007000," ","int((c*x^2)^(3/2)/x^5/(b*x+a)^2,x)","-\frac{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(2 b^{2} x^{2} \ln \left(x \right)-2 b^{2} x^{2} \ln \left(b x +a \right)+2 a b x \ln \left(x \right)-2 a b x \ln \left(b x +a \right)+2 a b x +a^{2}\right)}{\left(b x +a \right) a^{3} x^{4}}"," ",0,"-(c*x^2)^(3/2)*(2*b^2*x^2*ln(x)-2*b^2*x^2*ln(b*x+a)+2*a*b*x*ln(x)-2*a*b*x*ln(b*x+a)+2*a*b*x+a^2)/x^4/a^3/(b*x+a)","A"
908,1,95,105,0.006000," ","int((c*x^2)^(3/2)/x^6/(b*x+a)^2,x)","\frac{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(6 b^{3} x^{3} \ln \left(x \right)-6 b^{3} x^{3} \ln \left(b x +a \right)+6 a \,b^{2} x^{2} \ln \left(x \right)-6 a \,b^{2} x^{2} \ln \left(b x +a \right)+6 a \,b^{2} x^{2}+3 a^{2} b x -a^{3}\right)}{2 \left(b x +a \right) a^{4} x^{5}}"," ",0,"1/2*(c*x^2)^(3/2)*(6*b^3*x^3*ln(x)-6*b^3*x^3*ln(b*x+a)+6*a*b^2*x^2*ln(x)-6*a*b^2*x^2*ln(b*x+a)+6*a*b^2*x^2+3*a^2*b*x-a^3)/x^5/a^4/(b*x+a)","A"
909,1,86,95,0.006000," ","int(x^5/(b*x+a)^2/(c*x^2)^(1/2),x)","-\frac{\left(-b^{4} x^{4}+2 a \,b^{3} x^{3}+12 a^{3} b x \ln \left(b x +a \right)-6 a^{2} b^{2} x^{2}+12 a^{4} \ln \left(b x +a \right)-9 a^{3} b x +3 a^{4}\right) x}{3 \sqrt{c \,x^{2}}\, \left(b x +a \right) b^{5}}"," ",0,"-1/3*x*(-b^4*x^4+2*a*b^3*x^3+12*a^3*b*x*ln(b*x+a)-6*a^2*b^2*x^2+12*a^4*ln(b*x+a)-9*a^3*b*x+3*a^4)/(c*x^2)^(1/2)/b^5/(b*x+a)","A"
910,1,74,76,0.005000," ","int(x^4/(b*x+a)^2/(c*x^2)^(1/2),x)","\frac{\left(b^{3} x^{3}+6 a^{2} b x \ln \left(b x +a \right)-3 a \,b^{2} x^{2}+6 a^{3} \ln \left(b x +a \right)-4 a^{2} b x +2 a^{3}\right) x}{2 \sqrt{c \,x^{2}}\, \left(b x +a \right) b^{4}}"," ",0,"1/2*x*(b^3*x^3+6*a^2*b*x*ln(b*x+a)-3*a*b^2*x^2+6*a^3*ln(b*x+a)-4*a^2*b*x+2*a^3)/(c*x^2)^(1/2)/b^4/(b*x+a)","A"
911,1,60,58,0.006000," ","int(x^3/(b*x+a)^2/(c*x^2)^(1/2),x)","-\frac{\left(2 a b x \ln \left(b x +a \right)-b^{2} x^{2}+2 a^{2} \ln \left(b x +a \right)-a b x +a^{2}\right) x}{\sqrt{c \,x^{2}}\, \left(b x +a \right) b^{3}}"," ",0,"-x*(2*a*b*x*ln(b*x+a)-b^2*x^2+2*a^2*ln(b*x+a)-a*b*x+a^2)/(c*x^2)^(1/2)/b^3/(b*x+a)","A"
912,1,39,39,0.004000," ","int(x^2/(b*x+a)^2/(c*x^2)^(1/2),x)","\frac{\left(b x \ln \left(b x +a \right)+a \ln \left(b x +a \right)+a \right) x}{\sqrt{c \,x^{2}}\, \left(b x +a \right) b^{2}}"," ",0,"x*(b*x*ln(b*x+a)+a*ln(b*x+a)+a)/(c*x^2)^(1/2)/b^2/(b*x+a)","A"
913,1,21,20,0.003000," ","int(x/(b*x+a)^2/(c*x^2)^(1/2),x)","-\frac{x}{\left(b x +a \right) \sqrt{c \,x^{2}}\, b}"," ",0,"-x/b/(b*x+a)/(c*x^2)^(1/2)","A"
914,1,50,53,0.006000," ","int(1/(b*x+a)^2/(c*x^2)^(1/2),x)","\frac{\left(b x \ln \left(x \right)-b x \ln \left(b x +a \right)+a \ln \left(x \right)-a \ln \left(b x +a \right)+a \right) x}{\sqrt{c \,x^{2}}\, \left(b x +a \right) a^{2}}"," ",0,"x*(b*x*ln(x)-b*x*ln(b*x+a)+a*ln(x)-a*ln(b*x+a)+a)/(c*x^2)^(1/2)/a^2/(b*x+a)","A"
915,1,71,70,0.006000," ","int(1/x/(b*x+a)^2/(c*x^2)^(1/2),x)","-\frac{2 b^{2} x^{2} \ln \left(x \right)-2 b^{2} x^{2} \ln \left(b x +a \right)+2 a b x \ln \left(x \right)-2 a b x \ln \left(b x +a \right)+2 a b x +a^{2}}{\sqrt{c \,x^{2}}\, \left(b x +a \right) a^{3}}"," ",0,"-(2*b^2*x^2*ln(x)-2*b^2*x^2*ln(b*x+a)+2*a*b*x*ln(x)-2*a*b*x*ln(b*x+a)+2*a*b*x+a^2)/(c*x^2)^(1/2)/a^3/(b*x+a)","A"
916,1,95,91,0.006000," ","int(1/x^2/(b*x+a)^2/(c*x^2)^(1/2),x)","\frac{6 b^{3} x^{3} \ln \left(x \right)-6 b^{3} x^{3} \ln \left(b x +a \right)+6 a \,b^{2} x^{2} \ln \left(x \right)-6 a \,b^{2} x^{2} \ln \left(b x +a \right)+6 a \,b^{2} x^{2}+3 a^{2} b x -a^{3}}{2 \sqrt{c \,x^{2}}\, \left(b x +a \right) a^{4} x}"," ",0,"1/2/x*(6*b^3*x^3*ln(x)-6*b^3*x^3*ln(b*x+a)+6*a*b^2*x^2*ln(x)-6*a*b^2*x^2*ln(b*x+a)+6*a*b^2*x^2+3*a^2*b*x-a^3)/(c*x^2)^(1/2)/a^4/(b*x+a)","A"
917,1,62,67,0.005000," ","int(x^5/(c*x^2)^(3/2)/(b*x+a)^2,x)","-\frac{\left(2 a b x \ln \left(b x +a \right)-b^{2} x^{2}+2 a^{2} \ln \left(b x +a \right)-a b x +a^{2}\right) x^{3}}{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(b x +a \right) b^{3}}"," ",0,"-x^3*(2*a*b*x*ln(b*x+a)-b^2*x^2+2*a^2*ln(b*x+a)-a*b*x+a^2)/(c*x^2)^(3/2)/b^3/(b*x+a)","A"
918,1,41,45,0.003000," ","int(x^4/(c*x^2)^(3/2)/(b*x+a)^2,x)","\frac{\left(b x \ln \left(b x +a \right)+a \ln \left(b x +a \right)+a \right) x^{3}}{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(b x +a \right) b^{2}}"," ",0,"x^3*(b*x*ln(b*x+a)+a*ln(b*x+a)+a)/(c*x^2)^(3/2)/b^2/(b*x+a)","A"
919,1,23,23,0.003000," ","int(x^3/(c*x^2)^(3/2)/(b*x+a)^2,x)","-\frac{x^{3}}{\left(b x +a \right) \left(c \,x^{2}\right)^{\frac{3}{2}} b}"," ",0,"-1/(b*x+a)/b*x^3/(c*x^2)^(3/2)","A"
920,1,52,62,0.006000," ","int(x^2/(c*x^2)^(3/2)/(b*x+a)^2,x)","\frac{\left(b x \ln \left(x \right)-b x \ln \left(b x +a \right)+a \ln \left(x \right)-a \ln \left(b x +a \right)+a \right) x^{3}}{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(b x +a \right) a^{2}}"," ",0,"x^3*(b*x*ln(x)-b*x*ln(b*x+a)+a*ln(x)-a*ln(b*x+a)+a)/(c*x^2)^(3/2)/a^2/(b*x+a)","A"
921,1,74,82,0.005000," ","int(x/(c*x^2)^(3/2)/(b*x+a)^2,x)","-\frac{\left(2 b^{2} x^{2} \ln \left(x \right)-2 b^{2} x^{2} \ln \left(b x +a \right)+2 a b x \ln \left(x \right)-2 a b x \ln \left(b x +a \right)+2 a b x +a^{2}\right) x^{2}}{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(b x +a \right) a^{3}}"," ",0,"-x^2*(2*b^2*x^2*ln(x)-2*b^2*x^2*ln(b*x+a)+2*a*b*x*ln(x)-2*a*b*x*ln(b*x+a)+2*a*b*x+a^2)/(c*x^2)^(3/2)/a^3/(b*x+a)","A"
922,1,93,106,0.007000," ","int(1/(c*x^2)^(3/2)/(b*x+a)^2,x)","\frac{\left(6 b^{3} x^{3} \ln \left(x \right)-6 b^{3} x^{3} \ln \left(b x +a \right)+6 a \,b^{2} x^{2} \ln \left(x \right)-6 a \,b^{2} x^{2} \ln \left(b x +a \right)+6 a \,b^{2} x^{2}+3 a^{2} b x -a^{3}\right) x}{2 \left(c \,x^{2}\right)^{\frac{3}{2}} \left(b x +a \right) a^{4}}"," ",0,"1/2*x*(6*b^3*x^3*ln(x)-6*b^3*x^3*ln(b*x+a)+6*a*b^2*x^2*ln(x)-6*a*b^2*x^2*ln(b*x+a)+6*a*b^2*x^2+3*a^2*b*x-a^3)/(c*x^2)^(3/2)/a^4/(b*x+a)","A"
923,1,136,123,0.007000," ","int(x^2*(b*x+a)^n*(c*x^2)^(1/2),x)","-\frac{\sqrt{c \,x^{2}}\, \left(-b^{3} n^{3} x^{3}-6 b^{3} n^{2} x^{3}+3 a \,b^{2} n^{2} x^{2}-11 b^{3} n \,x^{3}+9 a \,b^{2} n \,x^{2}-6 b^{3} x^{3}-6 a^{2} b n x +6 a \,b^{2} x^{2}-6 a^{2} b x +6 a^{3}\right) \left(b x +a \right)^{n +1}}{\left(n^{4}+10 n^{3}+35 n^{2}+50 n +24\right) b^{4} x}"," ",0,"-(c*x^2)^(1/2)*(b*x+a)^(n+1)*(-b^3*n^3*x^3-6*b^3*n^2*x^3+3*a*b^2*n^2*x^2-11*b^3*n*x^3+9*a*b^2*n*x^2-6*b^3*x^3-6*a^2*b*n*x+6*a*b^2*x^2-6*a^2*b*x+6*a^3)/x/b^4/(n^4+10*n^3+35*n^2+50*n+24)","A"
924,1,83,90,0.006000," ","int(x*(b*x+a)^n*(c*x^2)^(1/2),x)","\frac{\left(b^{2} n^{2} x^{2}+3 b^{2} n \,x^{2}-2 a b n x +2 b^{2} x^{2}-2 a b x +2 a^{2}\right) \sqrt{c \,x^{2}}\, \left(b x +a \right)^{n +1}}{\left(n^{3}+6 n^{2}+11 n +6\right) b^{3} x}"," ",0,"(b*x+a)^(n+1)*(b^2*n^2*x^2+3*b^2*n*x^2-2*a*b*n*x+2*b^2*x^2-2*a*b*x+2*a^2)*(c*x^2)^(1/2)/x/b^3/(n^3+6*n^2+11*n+6)","A"
925,1,46,59,0.003000," ","int((b*x+a)^n*(c*x^2)^(1/2),x)","-\frac{\sqrt{c \,x^{2}}\, \left(-x n b -b x +a \right) \left(b x +a \right)^{n +1}}{\left(n^{2}+3 n +2\right) b^{2} x}"," ",0,"-(c*x^2)^(1/2)*(b*x+a)^(n+1)*(-b*n*x-b*x+a)/x/b^2/(n^2+3*n+2)","A"
926,1,29,28,0.002000," ","int((b*x+a)^n*(c*x^2)^(1/2)/x,x)","\frac{\sqrt{c \,x^{2}}\, \left(b x +a \right)^{n +1}}{\left(n +1\right) b x}"," ",0,"(b*x+a)^(n+1)*(c*x^2)^(1/2)/b/(n+1)/x","A"
927,0,0,47,0.046000," ","int((b*x+a)^n*(c*x^2)^(1/2)/x^2,x)","\int \frac{\sqrt{c \,x^{2}}\, \left(b x +a \right)^{n}}{x^{2}}\, dx"," ",0,"int((b*x+a)^n*(c*x^2)^(1/2)/x^2,x)","F"
928,0,0,47,0.043000," ","int((b*x+a)^n*(c*x^2)^(1/2)/x^3,x)","\int \frac{\sqrt{c \,x^{2}}\, \left(b x +a \right)^{n}}{x^{3}}\, dx"," ",0,"int((b*x+a)^n*(c*x^2)^(1/2)/x^3,x)","F"
929,0,0,50,0.043000," ","int((b*x+a)^n*(c*x^2)^(1/2)/x^4,x)","\int \frac{\sqrt{c \,x^{2}}\, \left(b x +a \right)^{n}}{x^{4}}\, dx"," ",0,"int((b*x+a)^n*(c*x^2)^(1/2)/x^4,x)","F"
930,1,199,159,0.009000," ","int(x*(c*x^2)^(3/2)*(b*x+a)^n,x)","\frac{\left(b^{4} n^{4} x^{4}+10 b^{4} n^{3} x^{4}-4 a \,b^{3} n^{3} x^{3}+35 b^{4} n^{2} x^{4}-24 a \,b^{3} n^{2} x^{3}+50 b^{4} n \,x^{4}+12 a^{2} b^{2} n^{2} x^{2}-44 a \,b^{3} n \,x^{3}+24 b^{4} x^{4}+36 a^{2} b^{2} n \,x^{2}-24 a \,b^{3} x^{3}-24 a^{3} b n x +24 a^{2} b^{2} x^{2}-24 a^{3} b x +24 a^{4}\right) \left(c \,x^{2}\right)^{\frac{3}{2}} \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} x^{3}}"," ",0,"(b*x+a)^(n+1)*(b^4*n^4*x^4+10*b^4*n^3*x^4-4*a*b^3*n^3*x^3+35*b^4*n^2*x^4-24*a*b^3*n^2*x^3+50*b^4*n*x^4+12*a^2*b^2*n^2*x^2-44*a*b^3*n*x^3+24*b^4*x^4+36*a^2*b^2*n*x^2-24*a*b^3*x^3-24*a^3*b*n*x+24*a^2*b^2*x^2-24*a^3*b*x+24*a^4)*(c*x^2)^(3/2)/x^3/b^5/(n^5+15*n^4+85*n^3+225*n^2+274*n+120)","A"
931,1,136,127,0.007000," ","int((c*x^2)^(3/2)*(b*x+a)^n,x)","-\frac{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(-b^{3} n^{3} x^{3}-6 b^{3} n^{2} x^{3}+3 a \,b^{2} n^{2} x^{2}-11 b^{3} n \,x^{3}+9 a \,b^{2} n \,x^{2}-6 b^{3} x^{3}-6 a^{2} b n x +6 a \,b^{2} x^{2}-6 a^{2} b x +6 a^{3}\right) \left(b x +a \right)^{n +1}}{\left(n^{4}+10 n^{3}+35 n^{2}+50 n +24\right) b^{4} x^{3}}"," ",0,"-(b*x+a)^(n+1)*(c*x^2)^(3/2)*(-b^3*n^3*x^3-6*b^3*n^2*x^3+3*a*b^2*n^2*x^2-11*b^3*n*x^3+9*a*b^2*n*x^2-6*b^3*x^3-6*a^2*b*n*x+6*a*b^2*x^2-6*a^2*b*x+6*a^3)/x^3/b^4/(n^4+10*n^3+35*n^2+50*n+24)","A"
932,1,83,93,0.006000," ","int((c*x^2)^(3/2)*(b*x+a)^n/x,x)","\frac{\left(b^{2} n^{2} x^{2}+3 b^{2} n \,x^{2}-2 a b n x +2 b^{2} x^{2}-2 a b x +2 a^{2}\right) \left(c \,x^{2}\right)^{\frac{3}{2}} \left(b x +a \right)^{n +1}}{\left(n^{3}+6 n^{2}+11 n +6\right) b^{3} x^{3}}"," ",0,"(b*x+a)^(n+1)*(b^2*n^2*x^2+3*b^2*n*x^2-2*a*b*n*x+2*b^2*x^2-2*a*b*x+2*a^2)*(c*x^2)^(3/2)/x^3/b^3/(n^3+6*n^2+11*n+6)","A"
933,1,46,61,0.004000," ","int((c*x^2)^(3/2)*(b*x+a)^n/x^2,x)","-\frac{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(-x n b -b x +a \right) \left(b x +a \right)^{n +1}}{\left(n^{2}+3 n +2\right) b^{2} x^{3}}"," ",0,"-(b*x+a)^(n+1)*(c*x^2)^(3/2)*(-b*n*x-b*x+a)/x^3/b^2/(n^2+3*n+2)","A"
934,1,29,29,0.001000," ","int((c*x^2)^(3/2)*(b*x+a)^n/x^3,x)","\frac{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(b x +a \right)^{n +1}}{\left(n +1\right) b \,x^{3}}"," ",0,"(b*x+a)^(n+1)/b/(n+1)*(c*x^2)^(3/2)/x^3","A"
935,0,0,48,0.044000," ","int((c*x^2)^(3/2)*(b*x+a)^n/x^4,x)","\int \frac{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(b x +a \right)^{n}}{x^{4}}\, dx"," ",0,"int((c*x^2)^(3/2)*(b*x+a)^n/x^4,x)","F"
936,0,0,48,0.044000," ","int((c*x^2)^(3/2)*(b*x+a)^n/x^5,x)","\int \frac{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(b x +a \right)^{n}}{x^{5}}\, dx"," ",0,"int((c*x^2)^(3/2)*(b*x+a)^n/x^5,x)","F"
937,0,0,51,0.045000," ","int((c*x^2)^(3/2)*(b*x+a)^n/x^6,x)","\int \frac{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(b x +a \right)^{n}}{x^{6}}\, dx"," ",0,"int((c*x^2)^(3/2)*(b*x+a)^n/x^6,x)","F"
938,1,280,205,0.009000," ","int((c*x^2)^(5/2)*(b*x+a)^n,x)","-\frac{\left(c \,x^{2}\right)^{\frac{5}{2}} \left(-b^{5} n^{5} x^{5}-15 b^{5} n^{4} x^{5}+5 a \,b^{4} n^{4} x^{4}-85 b^{5} n^{3} x^{5}+50 a \,b^{4} n^{3} x^{4}-225 b^{5} n^{2} x^{5}-20 a^{2} b^{3} n^{3} x^{3}+175 a \,b^{4} n^{2} x^{4}-274 b^{5} n \,x^{5}-120 a^{2} b^{3} n^{2} x^{3}+250 a \,b^{4} n \,x^{4}-120 b^{5} x^{5}+60 a^{3} b^{2} n^{2} x^{2}-220 a^{2} b^{3} n \,x^{3}+120 a \,b^{4} x^{4}+180 a^{3} b^{2} n \,x^{2}-120 a^{2} b^{3} x^{3}-120 a^{4} b n x +120 a^{3} b^{2} x^{2}-120 a^{4} b x +120 a^{5}\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} x^{5}}"," ",0,"-(b*x+a)^(n+1)*(c*x^2)^(5/2)*(-b^5*n^5*x^5-15*b^5*n^4*x^5+5*a*b^4*n^4*x^4-85*b^5*n^3*x^5+50*a*b^4*n^3*x^4-225*b^5*n^2*x^5-20*a^2*b^3*n^3*x^3+175*a*b^4*n^2*x^4-274*b^5*n*x^5-120*a^2*b^3*n^2*x^3+250*a*b^4*n*x^4-120*b^5*x^5+60*a^3*b^2*n^2*x^2-220*a^2*b^3*n*x^3+120*a*b^4*x^4+180*a^3*b^2*n*x^2-120*a^2*b^3*x^3-120*a^4*b*n*x+120*a^3*b^2*x^2-120*a^4*b*x+120*a^5)/x^5/b^6/(n^6+21*n^5+175*n^4+735*n^3+1624*n^2+1764*n+720)","A"
939,1,199,169,0.007000," ","int((c*x^2)^(5/2)*(b*x+a)^n/x,x)","\frac{\left(b^{4} n^{4} x^{4}+10 b^{4} n^{3} x^{4}-4 a \,b^{3} n^{3} x^{3}+35 b^{4} n^{2} x^{4}-24 a \,b^{3} n^{2} x^{3}+50 b^{4} n \,x^{4}+12 a^{2} b^{2} n^{2} x^{2}-44 a \,b^{3} n \,x^{3}+24 b^{4} x^{4}+36 a^{2} b^{2} n \,x^{2}-24 a \,b^{3} x^{3}-24 a^{3} b n x +24 a^{2} b^{2} x^{2}-24 a^{3} b x +24 a^{4}\right) \left(c \,x^{2}\right)^{\frac{5}{2}} \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} x^{5}}"," ",0,"(b*x+a)^(n+1)*(b^4*n^4*x^4+10*b^4*n^3*x^4-4*a*b^3*n^3*x^3+35*b^4*n^2*x^4-24*a*b^3*n^2*x^3+50*b^4*n*x^4+12*a^2*b^2*n^2*x^2-44*a*b^3*n*x^3+24*b^4*x^4+36*a^2*b^2*n*x^2-24*a*b^3*x^3-24*a^3*b*n*x+24*a^2*b^2*x^2-24*a^3*b*x+24*a^4)*(c*x^2)^(5/2)/x^5/b^5/(n^5+15*n^4+85*n^3+225*n^2+274*n+120)","A"
940,1,136,135,0.007000," ","int((c*x^2)^(5/2)*(b*x+a)^n/x^2,x)","-\frac{\left(c \,x^{2}\right)^{\frac{5}{2}} \left(-b^{3} n^{3} x^{3}-6 b^{3} n^{2} x^{3}+3 a \,b^{2} n^{2} x^{2}-11 b^{3} n \,x^{3}+9 a \,b^{2} n \,x^{2}-6 b^{3} x^{3}-6 a^{2} b n x +6 a \,b^{2} x^{2}-6 a^{2} b x +6 a^{3}\right) \left(b x +a \right)^{n +1}}{\left(n^{4}+10 n^{3}+35 n^{2}+50 n +24\right) b^{4} x^{5}}"," ",0,"-(b*x+a)^(n+1)*(c*x^2)^(5/2)*(-b^3*n^3*x^3-6*b^3*n^2*x^3+3*a*b^2*n^2*x^2-11*b^3*n*x^3+9*a*b^2*n*x^2-6*b^3*x^3-6*a^2*b*n*x+6*a*b^2*x^2-6*a^2*b*x+6*a^3)/x^5/b^4/(n^4+10*n^3+35*n^2+50*n+24)","A"
941,1,83,99,0.006000," ","int((c*x^2)^(5/2)*(b*x+a)^n/x^3,x)","\frac{\left(b^{2} n^{2} x^{2}+3 b^{2} n \,x^{2}-2 a b n x +2 b^{2} x^{2}-2 a b x +2 a^{2}\right) \left(c \,x^{2}\right)^{\frac{5}{2}} \left(b x +a \right)^{n +1}}{\left(n^{3}+6 n^{2}+11 n +6\right) b^{3} x^{5}}"," ",0,"(b*x+a)^(n+1)*(b^2*n^2*x^2+3*b^2*n*x^2-2*a*b*n*x+2*b^2*x^2-2*a*b*x+2*a^2)*(c*x^2)^(5/2)/x^5/b^3/(n^3+6*n^2+11*n+6)","A"
942,1,46,65,0.002000," ","int((c*x^2)^(5/2)*(b*x+a)^n/x^4,x)","-\frac{\left(c \,x^{2}\right)^{\frac{5}{2}} \left(-x n b -b x +a \right) \left(b x +a \right)^{n +1}}{\left(n^{2}+3 n +2\right) b^{2} x^{5}}"," ",0,"-(b*x+a)^(n+1)*(c*x^2)^(5/2)*(-b*n*x-b*x+a)/x^5/b^2/(n^2+3*n+2)","A"
943,1,29,31,0.002000," ","int((c*x^2)^(5/2)*(b*x+a)^n/x^5,x)","\frac{\left(c \,x^{2}\right)^{\frac{5}{2}} \left(b x +a \right)^{n +1}}{\left(n +1\right) b \,x^{5}}"," ",0,"(b*x+a)^(n+1)/b/(n+1)*(c*x^2)^(5/2)/x^5","A"
944,0,0,50,0.047000," ","int((c*x^2)^(5/2)*(b*x+a)^n/x^6,x)","\int \frac{\left(c \,x^{2}\right)^{\frac{5}{2}} \left(b x +a \right)^{n}}{x^{6}}\, dx"," ",0,"int((c*x^2)^(5/2)*(b*x+a)^n/x^6,x)","F"
945,0,0,50,0.046000," ","int((c*x^2)^(5/2)*(b*x+a)^n/x^7,x)","\int \frac{\left(c \,x^{2}\right)^{\frac{5}{2}} \left(b x +a \right)^{n}}{x^{7}}\, dx"," ",0,"int((c*x^2)^(5/2)*(b*x+a)^n/x^7,x)","F"
946,1,134,115,0.006000," ","int(x^4*(b*x+a)^n/(c*x^2)^(1/2),x)","-\frac{\left(-b^{3} n^{3} x^{3}-6 b^{3} n^{2} x^{3}+3 a \,b^{2} n^{2} x^{2}-11 b^{3} n \,x^{3}+9 a \,b^{2} n \,x^{2}-6 b^{3} x^{3}-6 a^{2} b n x +6 a \,b^{2} x^{2}-6 a^{2} b x +6 a^{3}\right) x \left(b x +a \right)^{n +1}}{\sqrt{c \,x^{2}}\, \left(n^{4}+10 n^{3}+35 n^{2}+50 n +24\right) b^{4}}"," ",0,"-(b*x+a)^(n+1)*x*(-b^3*n^3*x^3-6*b^3*n^2*x^3+3*a*b^2*n^2*x^2-11*b^3*n*x^3+9*a*b^2*n*x^2-6*b^3*x^3-6*a^2*b*n*x+6*a*b^2*x^2-6*a^2*b*x+6*a^3)/(c*x^2)^(1/2)/b^4/(n^4+10*n^3+35*n^2+50*n+24)","A"
947,1,81,84,0.004000," ","int(x^3*(b*x+a)^n/(c*x^2)^(1/2),x)","\frac{\left(b^{2} n^{2} x^{2}+3 b^{2} n \,x^{2}-2 a b n x +2 b^{2} x^{2}-2 a b x +2 a^{2}\right) x \left(b x +a \right)^{n +1}}{\sqrt{c \,x^{2}}\, \left(n^{3}+6 n^{2}+11 n +6\right) b^{3}}"," ",0,"(b*x+a)^(n+1)*(b^2*n^2*x^2+3*b^2*n*x^2-2*a*b*n*x+2*b^2*x^2-2*a*b*x+2*a^2)*x/(c*x^2)^(1/2)/b^3/(n^3+6*n^2+11*n+6)","A"
948,1,44,55,0.003000," ","int(x^2*(b*x+a)^n/(c*x^2)^(1/2),x)","-\frac{\left(-x n b -b x +a \right) x \left(b x +a \right)^{n +1}}{\sqrt{c \,x^{2}}\, \left(n^{2}+3 n +2\right) b^{2}}"," ",0,"-(b*x+a)^(n+1)*x*(-b*n*x-b*x+a)/(c*x^2)^(1/2)/b^2/(n^2+3*n+2)","A"
949,1,27,26,0.002000," ","int(x*(b*x+a)^n/(c*x^2)^(1/2),x)","\frac{x \left(b x +a \right)^{n +1}}{\left(n +1\right) \sqrt{c \,x^{2}}\, b}"," ",0,"x*(b*x+a)^(n+1)/b/(n+1)/(c*x^2)^(1/2)","A"
950,0,0,45,0.044000," ","int((b*x+a)^n/(c*x^2)^(1/2),x)","\int \frac{\left(b x +a \right)^{n}}{\sqrt{c \,x^{2}}}\, dx"," ",0,"int((b*x+a)^n/(c*x^2)^(1/2),x)","F"
951,0,0,45,0.045000," ","int((b*x+a)^n/x/(c*x^2)^(1/2),x)","\int \frac{\left(b x +a \right)^{n}}{\sqrt{c \,x^{2}}\, x}\, dx"," ",0,"int((b*x+a)^n/x/(c*x^2)^(1/2),x)","F"
952,0,0,48,0.042000," ","int((b*x+a)^n/x^2/(c*x^2)^(1/2),x)","\int \frac{\left(b x +a \right)^{n}}{\sqrt{c \,x^{2}}\, x^{2}}\, dx"," ",0,"int((b*x+a)^n/x^2/(c*x^2)^(1/2),x)","F"
953,1,136,127,0.007000," ","int(x^6*(b*x+a)^n/(c*x^2)^(3/2),x)","-\frac{\left(-b^{3} n^{3} x^{3}-6 b^{3} n^{2} x^{3}+3 a \,b^{2} n^{2} x^{2}-11 b^{3} n \,x^{3}+9 a \,b^{2} n \,x^{2}-6 b^{3} x^{3}-6 a^{2} b n x +6 a \,b^{2} x^{2}-6 a^{2} b x +6 a^{3}\right) x^{3} \left(b x +a \right)^{n +1}}{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(n^{4}+10 n^{3}+35 n^{2}+50 n +24\right) b^{4}}"," ",0,"-(b*x+a)^(n+1)*x^3*(-b^3*n^3*x^3-6*b^3*n^2*x^3+3*a*b^2*n^2*x^2-11*b^3*n*x^3+9*a*b^2*n*x^2-6*b^3*x^3-6*a^2*b*n*x+6*a*b^2*x^2-6*a^2*b*x+6*a^3)/(c*x^2)^(3/2)/b^4/(n^4+10*n^3+35*n^2+50*n+24)","A"
954,1,83,93,0.005000," ","int(x^5*(b*x+a)^n/(c*x^2)^(3/2),x)","\frac{\left(b^{2} n^{2} x^{2}+3 b^{2} n \,x^{2}-2 a b n x +2 b^{2} x^{2}-2 a b x +2 a^{2}\right) x^{3} \left(b x +a \right)^{n +1}}{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(n^{3}+6 n^{2}+11 n +6\right) b^{3}}"," ",0,"(b*x+a)^(n+1)*(b^2*n^2*x^2+3*b^2*n*x^2-2*a*b*n*x+2*b^2*x^2-2*a*b*x+2*a^2)*x^3/(c*x^2)^(3/2)/b^3/(n^3+6*n^2+11*n+6)","A"
955,1,46,61,0.003000," ","int(x^4*(b*x+a)^n/(c*x^2)^(3/2),x)","-\frac{\left(-x n b -b x +a \right) x^{3} \left(b x +a \right)^{n +1}}{\left(c \,x^{2}\right)^{\frac{3}{2}} \left(n^{2}+3 n +2\right) b^{2}}"," ",0,"-(b*x+a)^(n+1)*x^3*(-b*n*x-b*x+a)/(c*x^2)^(3/2)/b^2/(n^2+3*n+2)","A"
956,1,29,29,0.002000," ","int(x^3*(b*x+a)^n/(c*x^2)^(3/2),x)","\frac{x^{3} \left(b x +a \right)^{n +1}}{\left(n +1\right) \left(c \,x^{2}\right)^{\frac{3}{2}} b}"," ",0,"(b*x+a)^(n+1)/b/(n+1)*x^3/(c*x^2)^(3/2)","A"
957,0,0,48,0.046000," ","int(x^2*(b*x+a)^n/(c*x^2)^(3/2),x)","\int \frac{x^{2} \left(b x +a \right)^{n}}{\left(c \,x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^2*(b*x+a)^n/(c*x^2)^(3/2),x)","F"
958,0,0,48,0.043000," ","int(x*(b*x+a)^n/(c*x^2)^(3/2),x)","\int \frac{x \left(b x +a \right)^{n}}{\left(c \,x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"int(x*(b*x+a)^n/(c*x^2)^(3/2),x)","F"
959,0,0,51,0.048000," ","int((b*x+a)^n/(c*x^2)^(3/2),x)","\int \frac{\left(b x +a \right)^{n}}{\left(c \,x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"int((b*x+a)^n/(c*x^2)^(3/2),x)","F"
960,0,0,50,0.045000," ","int((b*x+a)^n/x/(c*x^2)^(3/2),x)","\int \frac{\left(b x +a \right)^{n}}{\left(c \,x^{2}\right)^{\frac{3}{2}} x}\, dx"," ",0,"int((b*x+a)^n/x/(c*x^2)^(3/2),x)","F"
961,1,136,127,0.006000," ","int(x^8*(b*x+a)^n/(c*x^2)^(5/2),x)","-\frac{\left(-b^{3} n^{3} x^{3}-6 b^{3} n^{2} x^{3}+3 a \,b^{2} n^{2} x^{2}-11 b^{3} n \,x^{3}+9 a \,b^{2} n \,x^{2}-6 b^{3} x^{3}-6 a^{2} b n x +6 a \,b^{2} x^{2}-6 a^{2} b x +6 a^{3}\right) x^{5} \left(b x +a \right)^{n +1}}{\left(c \,x^{2}\right)^{\frac{5}{2}} \left(n^{4}+10 n^{3}+35 n^{2}+50 n +24\right) b^{4}}"," ",0,"-(b*x+a)^(n+1)*x^5*(-b^3*n^3*x^3-6*b^3*n^2*x^3+3*a*b^2*n^2*x^2-11*b^3*n*x^3+9*a*b^2*n*x^2-6*b^3*x^3-6*a^2*b*n*x+6*a*b^2*x^2-6*a^2*b*x+6*a^3)/(c*x^2)^(5/2)/b^4/(n^4+10*n^3+35*n^2+50*n+24)","A"
962,1,83,93,0.006000," ","int(x^7*(b*x+a)^n/(c*x^2)^(5/2),x)","\frac{\left(b^{2} n^{2} x^{2}+3 b^{2} n \,x^{2}-2 a b n x +2 b^{2} x^{2}-2 a b x +2 a^{2}\right) x^{5} \left(b x +a \right)^{n +1}}{\left(c \,x^{2}\right)^{\frac{5}{2}} \left(n^{3}+6 n^{2}+11 n +6\right) b^{3}}"," ",0,"(b*x+a)^(n+1)*(b^2*n^2*x^2+3*b^2*n*x^2-2*a*b*n*x+2*b^2*x^2-2*a*b*x+2*a^2)*x^5/(c*x^2)^(5/2)/b^3/(n^3+6*n^2+11*n+6)","A"
963,1,46,61,0.003000," ","int(x^6*(b*x+a)^n/(c*x^2)^(5/2),x)","-\frac{\left(-x n b -b x +a \right) x^{5} \left(b x +a \right)^{n +1}}{\left(c \,x^{2}\right)^{\frac{5}{2}} \left(n^{2}+3 n +2\right) b^{2}}"," ",0,"-(b*x+a)^(n+1)*x^5*(-b*n*x-b*x+a)/(c*x^2)^(5/2)/b^2/(n^2+3*n+2)","A"
964,1,29,29,0.003000," ","int(x^5*(b*x+a)^n/(c*x^2)^(5/2),x)","\frac{x^{5} \left(b x +a \right)^{n +1}}{\left(n +1\right) \left(c \,x^{2}\right)^{\frac{5}{2}} b}"," ",0,"(b*x+a)^(n+1)/b/(n+1)*x^5/(c*x^2)^(5/2)","A"
965,0,0,48,0.045000," ","int(x^4*(b*x+a)^n/(c*x^2)^(5/2),x)","\int \frac{x^{4} \left(b x +a \right)^{n}}{\left(c \,x^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^4*(b*x+a)^n/(c*x^2)^(5/2),x)","F"
966,0,0,48,0.046000," ","int(x^3*(b*x+a)^n/(c*x^2)^(5/2),x)","\int \frac{x^{3} \left(b x +a \right)^{n}}{\left(c \,x^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^3*(b*x+a)^n/(c*x^2)^(5/2),x)","F"
967,0,0,51,0.045000," ","int(x^2*(b*x+a)^n/(c*x^2)^(5/2),x)","\int \frac{x^{2} \left(b x +a \right)^{n}}{\left(c \,x^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^2*(b*x+a)^n/(c*x^2)^(5/2),x)","F"
968,0,0,50,0.043000," ","int(x*(b*x+a)^n/(c*x^2)^(5/2),x)","\int \frac{x \left(b x +a \right)^{n}}{\left(c \,x^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"int(x*(b*x+a)^n/(c*x^2)^(5/2),x)","F"
969,1,40,61,0.003000," ","int((d*x)^m*(c*x^2)^(5/2)*(b*x+a),x)","\frac{\left(b m x +a m +6 b x +7 a \right) \left(c \,x^{2}\right)^{\frac{5}{2}} x \left(d x \right)^{m}}{\left(m +7\right) \left(m +6\right)}"," ",0,"x*(b*m*x+a*m+6*b*x+7*a)*(d*x)^m*(c*x^2)^(5/2)/(m+7)/(m+6)","A"
970,1,40,57,0.002000," ","int((d*x)^m*(c*x^2)^(3/2)*(b*x+a),x)","\frac{\left(b m x +a m +4 b x +5 a \right) \left(c \,x^{2}\right)^{\frac{3}{2}} x \left(d x \right)^{m}}{\left(m +5\right) \left(m +4\right)}"," ",0,"x*(b*m*x+a*m+4*b*x+5*a)*(d*x)^m*(c*x^2)^(3/2)/(m+5)/(m+4)","A"
971,1,40,55,0.003000," ","int((d*x)^m*(c*x^2)^(1/2)*(b*x+a),x)","\frac{\left(b m x +a m +2 b x +3 a \right) \sqrt{c \,x^{2}}\, x \left(d x \right)^{m}}{\left(m +3\right) \left(m +2\right)}"," ",0,"x*(b*m*x+a*m+2*b*x+3*a)*(d*x)^m*(c*x^2)^(1/2)/(m+3)/(m+2)","A"
972,1,32,44,0.001000," ","int((d*x)^m*(b*x+a)/(c*x^2)^(1/2),x)","\frac{\left(b m x +a m +a \right) x \left(d x \right)^{m}}{\left(m +1\right) \sqrt{c \,x^{2}}\, m}"," ",0,"x*(b*m*x+a*m+a)*(d*x)^m/(m+1)/m/(c*x^2)^(1/2)","A"
973,1,40,61,0.003000," ","int((d*x)^m*(b*x+a)/(c*x^2)^(3/2),x)","\frac{\left(b m x +a m -2 b x -a \right) x \left(d x \right)^{m}}{\left(m -1\right) \left(m -2\right) \left(c \,x^{2}\right)^{\frac{3}{2}}}"," ",0,"x*(b*m*x+a*m-2*b*x-a)*(d*x)^m/(m-1)/(m-2)/(c*x^2)^(3/2)","A"
974,1,40,63,0.002000," ","int((d*x)^m*(b*x+a)/(c*x^2)^(5/2),x)","\frac{\left(b m x +a m -4 b x -3 a \right) x \left(d x \right)^{m}}{\left(m -3\right) \left(m -4\right) \left(c \,x^{2}\right)^{\frac{5}{2}}}"," ",0,"x*(b*m*x+a*m-4*b*x-3*a)*(d*x)^m/(m-3)/(-4+m)/(c*x^2)^(5/2)","A"
975,1,95,97,0.004000," ","int((d*x)^m*(c*x^2)^(5/2)*(b*x+a)^2,x)","\frac{\left(b^{2} m^{2} x^{2}+2 a b \,m^{2} x +13 b^{2} m \,x^{2}+a^{2} m^{2}+28 a b m x +42 b^{2} x^{2}+15 a^{2} m +96 a b x +56 a^{2}\right) \left(c \,x^{2}\right)^{\frac{5}{2}} x \left(d x \right)^{m}}{\left(m +8\right) \left(m +7\right) \left(m +6\right)}"," ",0,"x*(b^2*m^2*x^2+2*a*b*m^2*x+13*b^2*m*x^2+a^2*m^2+28*a*b*m*x+42*b^2*x^2+15*a^2*m+96*a*b*x+56*a^2)*(d*x)^m*(c*x^2)^(5/2)/(m+8)/(m+7)/(m+6)","A"
976,1,95,91,0.005000," ","int((d*x)^m*(c*x^2)^(3/2)*(b*x+a)^2,x)","\frac{\left(b^{2} m^{2} x^{2}+2 a b \,m^{2} x +9 b^{2} m \,x^{2}+a^{2} m^{2}+20 a b m x +20 b^{2} x^{2}+11 a^{2} m +48 a b x +30 a^{2}\right) \left(c \,x^{2}\right)^{\frac{3}{2}} x \left(d x \right)^{m}}{\left(m +6\right) \left(m +5\right) \left(m +4\right)}"," ",0,"x*(b^2*m^2*x^2+2*a*b*m^2*x+9*b^2*m*x^2+a^2*m^2+20*a*b*m*x+20*b^2*x^2+11*a^2*m+48*a*b*x+30*a^2)*(d*x)^m*(c*x^2)^(3/2)/(m+6)/(m+5)/(m+4)","A"
977,1,95,88,0.004000," ","int((d*x)^m*(c*x^2)^(1/2)*(b*x+a)^2,x)","\frac{\left(b^{2} m^{2} x^{2}+2 a b \,m^{2} x +5 b^{2} m \,x^{2}+a^{2} m^{2}+12 a b m x +6 b^{2} x^{2}+7 a^{2} m +16 a b x +12 a^{2}\right) \sqrt{c \,x^{2}}\, x \left(d x \right)^{m}}{\left(m +4\right) \left(m +3\right) \left(m +2\right)}"," ",0,"x*(b^2*m^2*x^2+2*a*b*m^2*x+5*b^2*m*x^2+a^2*m^2+12*a*b*m*x+6*b^2*x^2+7*a^2*m+16*a*b*x+12*a^2)*(d*x)^m*(c*x^2)^(1/2)/(m+4)/(m+3)/(m+2)","A"
978,1,79,75,0.005000," ","int((d*x)^m*(b*x+a)^2/(c*x^2)^(1/2),x)","\frac{\left(b^{2} m^{2} x^{2}+2 a b \,m^{2} x +b^{2} m \,x^{2}+a^{2} m^{2}+4 a b m x +3 a^{2} m +2 a^{2}\right) x \left(d x \right)^{m}}{\left(m +2\right) \left(m +1\right) \sqrt{c \,x^{2}}\, m}"," ",0,"x*(b^2*m^2*x^2+2*a*b*m^2*x+b^2*m*x^2+a^2*m^2+4*a*b*m*x+3*a^2*m+2*a^2)*(d*x)^m/(m+2)/(m+1)/m/(c*x^2)^(1/2)","A"
979,1,83,87,0.006000," ","int((d*x)^m*(b*x+a)^2/(c*x^2)^(3/2),x)","\frac{\left(b^{2} m^{2} x^{2}+2 a b \,m^{2} x -3 b^{2} m \,x^{2}+a^{2} m^{2}-4 a b m x +2 b^{2} x^{2}-a^{2} m \right) x \left(d x \right)^{m}}{\left(m -1\right) \left(m -2\right) \left(c \,x^{2}\right)^{\frac{3}{2}} m}"," ",0,"x*(b^2*m^2*x^2+2*a*b*m^2*x-3*b^2*m*x^2+a^2*m^2-4*a*b*m*x+2*b^2*x^2-a^2*m)*(d*x)^m/m/(m-1)/(m-2)/(c*x^2)^(3/2)","A"
980,1,95,99,0.006000," ","int((d*x)^m*(b*x+a)^2/(c*x^2)^(5/2),x)","\frac{\left(b^{2} m^{2} x^{2}+2 a b \,m^{2} x -7 b^{2} m \,x^{2}+a^{2} m^{2}-12 a b m x +12 b^{2} x^{2}-5 a^{2} m +16 a b x +6 a^{2}\right) x \left(d x \right)^{m}}{\left(m -2\right) \left(m -3\right) \left(m -4\right) \left(c \,x^{2}\right)^{\frac{5}{2}}}"," ",0,"x*(b^2*m^2*x^2+2*a*b*m^2*x-7*b^2*m*x^2+a^2*m^2-12*a*b*m*x+12*b^2*x^2-5*a^2*m+16*a*b*x+6*a^2)*(d*x)^m/(m-2)/(m-3)/(m-4)/(c*x^2)^(5/2)","A"
981,0,0,67,0.045000," ","int((d*x)^m*(c*x^2)^(5/2)*(b*x+a)^n,x)","\int \left(c \,x^{2}\right)^{\frac{5}{2}} \left(d x \right)^{m} \left(b x +a \right)^{n}\, dx"," ",0,"int((d*x)^m*(c*x^2)^(5/2)*(b*x+a)^n,x)","F"
982,0,0,65,0.047000," ","int((d*x)^m*(c*x^2)^(3/2)*(b*x+a)^n,x)","\int \left(c \,x^{2}\right)^{\frac{3}{2}} \left(d x \right)^{m} \left(b x +a \right)^{n}\, dx"," ",0,"int((d*x)^m*(c*x^2)^(3/2)*(b*x+a)^n,x)","F"
983,0,0,64,0.046000," ","int((d*x)^m*(c*x^2)^(1/2)*(b*x+a)^n,x)","\int \sqrt{c \,x^{2}}\, \left(d x \right)^{m} \left(b x +a \right)^{n}\, dx"," ",0,"int((d*x)^m*(c*x^2)^(1/2)*(b*x+a)^n,x)","F"
984,0,0,53,0.046000," ","int((d*x)^m*(b*x+a)^n/(c*x^2)^(1/2),x)","\int \frac{\left(d x \right)^{m} \left(b x +a \right)^{n}}{\sqrt{c \,x^{2}}}\, dx"," ",0,"int((d*x)^m*(b*x+a)^n/(c*x^2)^(1/2),x)","F"
985,0,0,68,0.046000," ","int((d*x)^m*(b*x+a)^n/(c*x^2)^(3/2),x)","\int \frac{\left(d x \right)^{m} \left(b x +a \right)^{n}}{\left(c \,x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"int((d*x)^m*(b*x+a)^n/(c*x^2)^(3/2),x)","F"
986,0,0,68,0.046000," ","int((d*x)^m*(b*x+a)^n/(c*x^2)^(5/2),x)","\int \frac{\left(d x \right)^{m} \left(b x +a \right)^{n}}{\left(c \,x^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"int((d*x)^m*(b*x+a)^n/(c*x^2)^(5/2),x)","F"
987,1,32,33,0.004000," ","int(x^3*(c*x^2)^p*(b*x+a)^(-5-2*p),x)","\frac{x^{4} \left(c \,x^{2}\right)^{p} \left(b x +a \right)^{-2 p -4}}{2 \left(p +2\right) a}"," ",0,"1/2*(b*x+a)^(-4-2*p)*x^4/a/(2+p)*(c*x^2)^p","A"
988,1,33,32,0.003000," ","int(x^2*(c*x^2)^p*(b*x+a)^(-2*p-4),x)","\frac{x^{3} \left(c \,x^{2}\right)^{p} \left(b x +a \right)^{-2 p -3}}{\left(2 p +3\right) a}"," ",0,"x^3*(c*x^2)^p*(b*x+a)^(-3-2*p)/a/(3+2*p)","A"
989,1,32,33,0.004000," ","int(x*(c*x^2)^p*(b*x+a)^(-2*p-3),x)","\frac{x^{2} \left(c \,x^{2}\right)^{p} \left(b x +a \right)^{-2 p -2}}{2 \left(p +1\right) a}"," ",0,"1/2*(b*x+a)^(-2-2*p)*x^2/a/(1+p)*(c*x^2)^p","A"
990,1,31,30,0.004000," ","int((c*x^2)^p*(b*x+a)^(-2*p-2),x)","\frac{x \left(c \,x^{2}\right)^{p} \left(b x +a \right)^{-2 p -1}}{\left(2 p +1\right) a}"," ",0,"x*(c*x^2)^p*(b*x+a)^(-1-2*p)/a/(1+2*p)","A"
991,1,25,26,0.003000," ","int((c*x^2)^p*(b*x+a)^(-2*p-1)/x,x)","\frac{\left(c \,x^{2}\right)^{p} \left(b x +a \right)^{-2 p}}{2 a p}"," ",0,"1/2*(b*x+a)^(-2*p)/a/p*(c*x^2)^p","A"
992,1,38,33,0.003000," ","int((c*x^2)^p/x^2/((b*x+a)^(2*p)),x)","\frac{\left(b x +a \right) \left(c \,x^{2}\right)^{p} \left(b x +a \right)^{-2 p}}{\left(2 p -1\right) a x}"," ",0,"(b*x+a)/x/a/(2*p-1)*(c*x^2)^p/((b*x+a)^(2*p))","A"
993,1,32,33,0.003000," ","int((c*x^2)^p*(b*x+a)^(1-2*p)/x^3,x)","\frac{\left(c \,x^{2}\right)^{p} \left(b x +a \right)^{-2 p +2}}{2 \left(p -1\right) a \,x^{2}}"," ",0,"1/2*(b*x+a)^(2-2*p)/x^2/a/(p-1)*(c*x^2)^p","A"
994,1,33,33,0.002000," ","int((c*x^2)^p*(b*x+a)^(-2*p+2)/x^4,x)","\frac{\left(c \,x^{2}\right)^{p} \left(b x +a \right)^{-2 p +3}}{\left(2 p -3\right) a \,x^{3}}"," ",0,"(b*x+a)^(3-2*p)/x^3/a/(2*p-3)*(c*x^2)^p","A"
995,1,39,38,0.003000," ","int(x^m*(c*x^2)^p*(b*x+a)^(-2-m-2*p),x)","\frac{x^{m +1} \left(c \,x^{2}\right)^{p} \left(b x +a \right)^{-m -2 p -1}}{\left(m +2 p +1\right) a}"," ",0,"x^(m+1)*(c*x^2)^p*(b*x+a)^(-1-m-2*p)/a/(1+m+2*p)","A"
996,1,40,39,0.003000," ","int((d*x)^m*(c*x^2)^p*(b*x+a)^(-2-m-2*p),x)","\frac{x \left(c \,x^{2}\right)^{p} \left(d x \right)^{m} \left(b x +a \right)^{-m -2 p -1}}{\left(m +2 p +1\right) a}"," ",0,"x*(d*x)^m*(c*x^2)^p*(b*x+a)^(-m-2*p-1)/a/(m+2*p+1)","A"
997,0,0,65,0.117000," ","int(x^m*(c*x^2)^p*(b*x+a)^n,x)","\int x^{m} \left(c \,x^{2}\right)^{p} \left(b x +a \right)^{n}\, dx"," ",0,"int(x^m*(c*x^2)^p*(b*x+a)^n,x)","F"
998,0,0,70,0.185000," ","int((d*x)^m*(c*x^2)^p*(b*x+a)^n,x)","\int \left(c \,x^{2}\right)^{p} \left(d x \right)^{m} \left(b x +a \right)^{n}\, dx"," ",0,"int((d*x)^m*(c*x^2)^p*(b*x+a)^n,x)","F"
999,1,16,15,0.002000," ","int((b*x+a)^5/(a*d/b+d*x)^3,x)","\frac{\left(b x +a \right)^{3} b^{2}}{3 d^{3}}"," ",0,"1/3*b^2*(b*x+a)^3/d^3","A"
1000,1,18,21,0.001000," ","int((b*x+a)^4/(a*d/b+d*x)^3,x)","\frac{\left(\frac{1}{2} b \,x^{2}+a x \right) b^{3}}{d^{3}}"," ",0,"b^3/d^3*(1/2*b*x^2+a*x)","A"
1001,1,9,8,0.001000," ","int((b*x+a)^3/(a*d/b+d*x)^3,x)","\frac{b^{3} x}{d^{3}}"," ",0,"b^3*x/d^3","A"
1002,1,14,13,0.001000," ","int((b*x+a)^2/(a*d/b+d*x)^3,x)","\frac{b^{2} \ln \left(b x +a \right)}{d^{3}}"," ",0,"b^2*ln(b*x+a)/d^3","A"
1003,1,16,15,0.000000," ","int((b*x+a)/(a*d/b+d*x)^3,x)","-\frac{b^{2}}{\left(b x +a \right) d^{3}}"," ",0,"-b^2/d^3/(b*x+a)","A"
1004,1,16,15,0.001000," ","int(1/(b*x+a)/(a*d/b+d*x)^3,x)","-\frac{b^{2}}{3 \left(b x +a \right)^{3} d^{3}}"," ",0,"-1/3*b^2/d^3/(b*x+a)^3","A"
1005,1,16,15,0.002000," ","int(1/(b*x+a)^2/(a*d/b+d*x)^3,x)","-\frac{b^{2}}{4 \left(b x +a \right)^{4} d^{3}}"," ",0,"-1/4*b^2/d^3/(b*x+a)^4","A"
1006,1,16,15,0.002000," ","int(1/(b*x+a)^3/(a*d/b+d*x)^3,x)","-\frac{b^{2}}{5 \left(b x +a \right)^{5} d^{3}}"," ",0,"-1/5*b^2/d^3/(b*x+a)^5","A"
1007,1,16,15,0.002000," ","int((b*c/d+b*x)^5/(d*x+c)^3,x)","\frac{\left(d x +c \right)^{3} b^{5}}{3 d^{6}}"," ",0,"1/3*b^5*(d*x+c)^3/d^6","A"
1008,1,18,21,0.001000," ","int((b*c/d+b*x)^4/(d*x+c)^3,x)","\frac{\left(\frac{1}{2} d \,x^{2}+c x \right) b^{4}}{d^{4}}"," ",0,"b^4/d^4*(c*x+1/2*d*x^2)","A"
1009,1,9,8,0.000000," ","int((b*c/d+b*x)^3/(d*x+c)^3,x)","\frac{b^{3} x}{d^{3}}"," ",0,"b^3/d^3*x","A"
1010,1,14,13,0.001000," ","int((b*c/d+b*x)^2/(d*x+c)^3,x)","\frac{b^{2} \ln \left(d x +c \right)}{d^{3}}"," ",0,"b^2*ln(d*x+c)/d^3","A"
1011,1,14,13,0.002000," ","int((b*c/d+b*x)/(d*x+c)^3,x)","-\frac{b}{\left(d x +c \right) d^{2}}"," ",0,"-b/d^2/(d*x+c)","A"
1012,1,13,12,0.001000," ","int(1/(b*c/d+b*x)/(d*x+c)^3,x)","-\frac{1}{3 \left(d x +c \right)^{3} b}"," ",0,"-1/3/b/(d*x+c)^3","A"
1013,1,14,13,0.001000," ","int(1/(b*c/d+b*x)^2/(d*x+c)^3,x)","-\frac{d}{4 \left(d x +c \right)^{4} b^{2}}"," ",0,"-1/4*d/b^2/(d*x+c)^4","A"
1014,1,16,15,0.000000," ","int(1/(b*c/d+b*x)^3/(d*x+c)^3,x)","-\frac{d^{2}}{5 \left(d x +c \right)^{5} b^{3}}"," ",0,"-1/5*d^2/b^3/(d*x+c)^5","A"
1015,1,27,24,0.002000," ","int((b*x+a)^5*(b*c*x+a*c)^n,x)","\frac{\left(b x +a \right)^{6} \left(b c x +a c \right)^{n}}{\left(n +6\right) b}"," ",0,"(b*x+a)^6/b/(6+n)*(b*c*x+a*c)^n","A"
1016,1,114,15,0.001000," ","int((b*x+a)^5*(b*c*x+a*c)^3,x)","\frac{1}{9} b^{8} c^{3} x^{9}+a \,b^{7} c^{3} x^{8}+4 a^{2} b^{6} c^{3} x^{7}+\frac{28}{3} a^{3} b^{5} c^{3} x^{6}+14 a^{4} b^{4} c^{3} x^{5}+14 a^{5} b^{3} c^{3} x^{4}+\frac{28}{3} a^{6} b^{2} c^{3} x^{3}+4 a^{7} b \,c^{3} x^{2}+a^{8} c^{3} x"," ",0,"1/9*b^8*c^3*x^9+a*b^7*c^3*x^8+4*a^2*b^6*c^3*x^7+28/3*a^3*b^5*c^3*x^6+14*a^4*b^4*c^3*x^5+14*a^5*b^3*c^3*x^4+28/3*a^6*c^3*b^2*x^3+4*a^7*c^3*b*x^2+a^8*c^3*x","B"
1017,1,100,15,0.003000," ","int((b*x+a)^5*(b*c*x+a*c)^2,x)","\frac{1}{8} b^{7} c^{2} x^{8}+a \,b^{6} c^{2} x^{7}+\frac{7}{2} a^{2} b^{5} c^{2} x^{6}+7 a^{3} b^{4} c^{2} x^{5}+\frac{35}{4} a^{4} b^{3} c^{2} x^{4}+7 a^{5} b^{2} c^{2} x^{3}+\frac{7}{2} a^{6} b \,c^{2} x^{2}+a^{7} c^{2} x"," ",0,"1/8*b^7*c^2*x^8+a*b^6*c^2*x^7+7/2*a^2*b^5*c^2*x^6+7*a^3*b^4*c^2*x^5+35/4*a^4*b^3*c^2*x^4+7*a^5*b^2*c^2*x^3+7/2*a^6*c^2*b*x^2+a^7*c^2*x","B"
1018,1,72,13,0.002000," ","int((b*x+a)^5*(b*c*x+a*c),x)","\frac{1}{7} b^{6} c \,x^{7}+a \,b^{5} c \,x^{6}+3 a^{2} b^{4} c \,x^{5}+5 a^{3} b^{3} c \,x^{4}+5 a^{4} b^{2} c \,x^{3}+3 a^{5} b c \,x^{2}+a^{6} c x"," ",0,"1/7*b^6*c*x^7+a*b^5*c*x^6+3*a^2*b^4*c*x^5+5*a^3*b^3*c*x^4+5*a^4*b^2*c*x^3+3*a^5*b*c*x^2+a^6*c*x","B"
1019,1,16,15,0.000000," ","int((b*x+a)^5/(b*c*x+a*c),x)","\frac{\left(b x +a \right)^{5}}{5 b c}"," ",0,"1/5*(b*x+a)^5/b/c","A"
1020,1,16,15,0.002000," ","int((b*x+a)^5/(b*c*x+a*c)^2,x)","\frac{\left(b x +a \right)^{4}}{4 b \,c^{2}}"," ",0,"1/4*(b*x+a)^4/b/c^2","A"
1021,1,16,15,0.000000," ","int((b*x+a)^5/(b*c*x+a*c)^3,x)","\frac{\left(b x +a \right)^{3}}{3 b \,c^{3}}"," ",0,"1/3*(b*x+a)^3/b/c^3","A"
1022,1,15,16,0.001000," ","int((b*x+a)^5/(b*c*x+a*c)^4,x)","\frac{\frac{1}{2} b \,x^{2}+a x}{c^{4}}"," ",0,"1/c^4*(1/2*b*x^2+a*x)","A"
1023,1,6,5,0.002000," ","int((b*x+a)^5/(b*c*x+a*c)^5,x)","\frac{x}{c^{5}}"," ",0,"x/c^5","A"
1024,1,14,13,0.002000," ","int((b*x+a)^5/(b*c*x+a*c)^6,x)","\frac{\ln \left(b x +a \right)}{b \,c^{6}}"," ",0,"ln(b*x+a)/b/c^6","A"
1025,1,16,15,0.000000," ","int((b*x+a)^5/(b*c*x+a*c)^7,x)","-\frac{1}{\left(b x +a \right) b \,c^{7}}"," ",0,"-1/b/c^7/(b*x+a)","A"
1026,1,16,15,0.001000," ","int((b*x+a)^5/(b*c*x+a*c)^8,x)","-\frac{1}{2 \left(b x +a \right)^{2} b \,c^{8}}"," ",0,"-1/2/b/c^8/(b*x+a)^2","A"
1027,1,23,22,0.003000," ","int(1/(-2-3*x)^(1/2)/(3*x+2)^(1/2),x)","\frac{\sqrt{3 x +2}\, \ln \left(3 x +2\right)}{3 \sqrt{-3 x -2}}"," ",0,"1/3*ln(3*x+2)*(3*x+2)^(1/2)/(-2-3*x)^(1/2)","A"
1028,1,45,34,0.002000," ","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*c^3*b*x^2+a^4*c^3*x","A"
1029,1,45,34,0.002000," ","int((b*x+a)*(-b*c*x+a*c)^2,x)","\frac{1}{4} b^{3} c^{2} x^{4}-\frac{1}{3} a \,b^{2} c^{2} x^{3}-\frac{1}{2} a^{2} b \,c^{2} x^{2}+a^{3} c^{2} x"," ",0,"1/4*b^3*c^2*x^4-1/3*a*b^2*c^2*x^3-1/2*a^2*c^2*b*x^2+a^3*c^2*x","A"
1030,1,17,16,0.001000," ","int((b*x+a)*(-b*c*x+a*c),x)","-\frac{1}{3} b^{2} c \,x^{3}+a^{2} c x"," ",0,"a^2*c*x-1/3*b^2*c*x^3","A"
1031,1,11,10,0.000000," ","int(b*x+a,x)","\frac{1}{2} b \,x^{2}+a x"," ",0,"1/2*b*x^2+a*x","A"
1032,1,25,23,0.003000," ","int((b*x+a)/(-b*c*x+a*c),x)","-\frac{2 a \ln \left(b x -a \right)}{b c}-\frac{x}{c}"," ",0,"-x/c-2/c*a/b*ln(b*x-a)","A"
1033,1,35,32,0.006000," ","int((b*x+a)/(-b*c*x+a*c)^2,x)","-\frac{2 a}{\left(b x -a \right) b \,c^{2}}+\frac{\ln \left(b x -a \right)}{b \,c^{2}}"," ",0,"-2/c^2*a/b/(b*x-a)+1/c^2/b*ln(b*x-a)","A"
1034,1,33,13,0.005000," ","int((b*x+a)/(-b*c*x+a*c)^3,x)","\frac{\frac{a}{\left(b x -a \right)^{2} b}+\frac{1}{\left(b x -a \right) b}}{c^{3}}"," ",0,"1/c^3*(a/b/(b*x-a)^2+1/b/(b*x-a))","B"
1035,1,35,34,0.007000," ","int((b*x+a)/(-b*c*x+a*c)^4,x)","\frac{-\frac{2 a}{3 \left(b x -a \right)^{3} b}-\frac{1}{2 \left(b x -a \right)^{2} b}}{c^{4}}"," ",0,"1/c^4*(-1/2/b/(b*x-a)^2-2/3*a/b/(b*x-a)^3)","A"
1036,1,35,34,0.004000," ","int((b*x+a)/(-b*c*x+a*c)^5,x)","\frac{\frac{a}{2 \left(b x -a \right)^{4} b}+\frac{1}{3 \left(b x -a \right)^{3} b}}{c^{5}}"," ",0,"1/c^5*(1/2*a/b/(b*x-a)^4+1/3/b/(b*x-a)^3)","A"
1037,1,35,34,0.004000," ","int((b*x+a)/(-b*c*x+a*c)^6,x)","\frac{-\frac{2 a}{5 \left(b x -a \right)^{5} b}-\frac{1}{4 \left(b x -a \right)^{4} b}}{c^{6}}"," ",0,"1/c^6*(-1/4/b/(b*x-a)^4-2/5*a/b/(b*x-a)^5)","A"
1038,1,73,53,0.001000," ","int((b*x+a)^2*(-b*c*x+a*c)^3,x)","-\frac{1}{6} b^{5} c^{3} x^{6}+\frac{1}{5} a \,b^{4} c^{3} x^{5}+\frac{1}{2} a^{2} b^{3} c^{3} x^{4}-\frac{2}{3} a^{3} b^{2} c^{3} x^{3}-\frac{1}{2} a^{4} b \,c^{3} x^{2}+a^{5} c^{3} x"," ",0,"-1/6*b^5*c^3*x^6+1/5*a*b^4*c^3*x^5+1/2*a^2*b^3*c^3*x^4-2/3*a^3*c^3*b^2*x^3-1/2*a^4*c^3*b*x^2+a^5*c^3*x","A"
1039,1,35,34,0.001000," ","int((b*x+a)^2*(-b*c*x+a*c)^2,x)","\frac{1}{5} b^{4} c^{2} x^{5}-\frac{2}{3} a^{2} b^{2} c^{2} x^{3}+a^{4} c^{2} x"," ",0,"a^4*c^2*x-2/3*a^2*b^2*c^2*x^3+1/5*b^4*c^2*x^5","A"
1040,1,37,28,0.002000," ","int((b*x+a)^2*(-b*c*x+a*c),x)","-\frac{1}{4} b^{3} c \,x^{4}-\frac{1}{3} a \,b^{2} c \,x^{3}+\frac{1}{2} a^{2} b c \,x^{2}+a^{3} c x"," ",0,"-1/4*b^3*c*x^4-1/3*a*b^2*c*x^3+1/2*a^2*b*c*x^2+a^3*c*x","A"
1041,1,13,12,0.002000," ","int((b*x+a)^2,x)","\frac{\left(b x +a \right)^{3}}{3 b}"," ",0,"1/3*(b*x+a)^3/b","A"
1042,1,37,41,0.003000," ","int((b*x+a)^2/(-b*c*x+a*c),x)","-\frac{b \,x^{2}}{2 c}-\frac{4 a^{2} \ln \left(b x -a \right)}{b c}-\frac{3 a x}{c}"," ",0,"-1/2/c*x^2*b-3*a*x/c-4/c*a^2/b*ln(b*x-a)","A"
1043,1,44,41,0.007000," ","int((b*x+a)^2/(-b*c*x+a*c)^2,x)","-\frac{4 a^{2}}{\left(b x -a \right) b \,c^{2}}+\frac{4 a \ln \left(b x -a \right)}{b \,c^{2}}+\frac{x}{c^{2}}"," ",0,"x/c^2-4/c^2*a^2/b/(b*x-a)+4/c^2*a/b*ln(b*x-a)","A"
1044,1,56,52,0.007000," ","int((b*x+a)^2/(-b*c*x+a*c)^3,x)","\frac{2 a^{2}}{\left(b x -a \right)^{2} b \,c^{3}}+\frac{4 a}{\left(b x -a \right) b \,c^{3}}-\frac{\ln \left(b x -a \right)}{b \,c^{3}}"," ",0,"2/c^3*a^2/b/(b*x-a)^2+4/c^3*a/b/(b*x-a)-1/c^3/b*ln(b*x-a)","A"
1045,1,52,26,0.004000," ","int((b*x+a)^2/(-b*c*x+a*c)^4,x)","\frac{-\frac{4 a^{2}}{3 \left(b x -a \right)^{3} b}-\frac{2 a}{\left(b x -a \right)^{2} b}-\frac{1}{\left(b x -a \right) b}}{c^{4}}"," ",0,"1/c^4*(-2/(b*x-a)^2*a/b-4/3*a^2/b/(b*x-a)^3-1/(b*x-a)/b)","A"
1046,1,51,52,0.005000," ","int((b*x+a)^2/(-b*c*x+a*c)^5,x)","\frac{\frac{a^{2}}{\left(b x -a \right)^{4} b}+\frac{4 a}{3 \left(b x -a \right)^{3} b}+\frac{1}{2 \left(b x -a \right)^{2} b}}{c^{5}}"," ",0,"1/c^5*(a^2/b/(b*x-a)^4+1/2/(b*x-a)^2/b+4/3/(b*x-a)^3*a/b)","A"
1047,1,52,53,0.004000," ","int((b*x+a)^2/(-b*c*x+a*c)^6,x)","\frac{-\frac{4 a^{2}}{5 \left(b x -a \right)^{5} b}-\frac{a}{\left(b x -a \right)^{4} b}-\frac{1}{3 \left(b x -a \right)^{3} b}}{c^{6}}"," ",0,"1/c^6*(-1/(b*x-a)^4*a/b-1/3/(b*x-a)^3/b-4/5*a^2/b/(b*x-a)^5)","A"
1048,1,52,53,0.006000," ","int((b*x+a)^2/(-b*c*x+a*c)^7,x)","\frac{\frac{2 a^{2}}{3 \left(b x -a \right)^{6} b}+\frac{4 a}{5 \left(b x -a \right)^{5} b}+\frac{1}{4 \left(b x -a \right)^{4} b}}{c^{7}}"," ",0,"1/c^7*(1/4/(b*x-a)^4/b+2/3*a^2/b/(b*x-a)^6+4/5/(b*x-a)^5*a/b)","A"
1049,1,49,59,0.003000," ","int((-b*c*x+a*c)^3/(b*x+a),x)","-\frac{b^{2} c^{3} x^{3}}{3}+2 a b \,c^{3} x^{2}+\frac{8 a^{3} c^{3} \ln \left(b x +a \right)}{b}-7 a^{2} c^{3} x"," ",0,"-1/3*c^3*b^2*x^3+2*c^3*b*x^2*a-7*a^2*c^3*x+8*a^3*c^3*ln(b*x+a)/b","A"
1050,1,35,41,0.003000," ","int((-b*c*x+a*c)^2/(b*x+a),x)","\frac{b \,c^{2} x^{2}}{2}+\frac{4 a^{2} c^{2} \ln \left(b x +a \right)}{b}-3 a \,c^{2} x"," ",0,"1/2*c^2*x^2*b-3*a*c^2*x+4*a^2*c^2*ln(b*x+a)/b","A"
1051,1,19,18,0.003000," ","int((-b*c*x+a*c)/(b*x+a),x)","\frac{2 a c \ln \left(b x +a \right)}{b}-c x"," ",0,"-c*x+2*a*c*ln(b*x+a)/b","A"
1052,1,11,10,0.000000," ","int(1/(b*x+a),x)","\frac{\ln \left(b x +a \right)}{b}"," ",0,"1/b*ln(b*x+a)","A"
1053,1,38,17,0.006000," ","int(1/(b*x+a)/(-b*c*x+a*c),x)","-\frac{\ln \left(b x -a \right)}{2 a b c}+\frac{\ln \left(b x +a \right)}{2 a b c}"," ",0,"1/2/c/b/a*ln(b*x+a)-1/2/c/b/a*ln(b*x-a)","B"
1054,1,58,38,0.007000," ","int(1/(b*x+a)/(-b*c*x+a*c)^2,x)","-\frac{1}{2 \left(b x -a \right) a b \,c^{2}}-\frac{\ln \left(b x -a \right)}{4 a^{2} b \,c^{2}}+\frac{\ln \left(b x +a \right)}{4 a^{2} b \,c^{2}}"," ",0,"1/4/c^2/a^2/b*ln(b*x+a)-1/4/c^2/a^2/b*ln(b*x-a)-1/2/c^2/b/a/(b*x-a)","A"
1055,1,78,57,0.007000," ","int(1/(b*x+a)/(-b*c*x+a*c)^3,x)","\frac{1}{4 \left(b x -a \right)^{2} a b \,c^{3}}-\frac{1}{4 \left(b x -a \right) a^{2} b \,c^{3}}-\frac{\ln \left(b x -a \right)}{8 a^{3} b \,c^{3}}+\frac{\ln \left(b x +a \right)}{8 a^{3} b \,c^{3}}"," ",0,"1/8/c^3/a^3/b*ln(b*x+a)-1/8/c^3/a^3/b*ln(b*x-a)-1/4/c^3/a^2/b/(b*x-a)+1/4/c^3/b/a/(b*x-a)^2","A"
1056,1,53,52,0.007000," ","int((-b*c*x+a*c)^3/(b*x+a)^2,x)","-\frac{b \,c^{3} x^{2}}{2}-\frac{8 a^{3} c^{3}}{\left(b x +a \right) b}-\frac{12 a^{2} c^{3} \ln \left(b x +a \right)}{b}+5 a \,c^{3} x"," ",0,"5*a*c^3*x-1/2*b*c^3*x^2-8*a^3*c^3/b/(b*x+a)-12*a^2*c^3*ln(b*x+a)/b","A"
1057,1,40,39,0.007000," ","int((-b*c*x+a*c)^2/(b*x+a)^2,x)","-\frac{4 a^{2} c^{2}}{\left(b x +a \right) b}-\frac{4 a \,c^{2} \ln \left(b x +a \right)}{b}+c^{2} x"," ",0,"c^2*x-4*a^2*c^2/b/(b*x+a)-4*a*c^2*ln(b*x+a)/b","A"
1058,1,28,27,0.005000," ","int((-b*c*x+a*c)/(b*x+a)^2,x)","-\frac{2 a c}{\left(b x +a \right) b}-\frac{c \ln \left(b x +a \right)}{b}"," ",0,"-2*a*c/b/(b*x+a)-c*ln(b*x+a)/b","A"
1059,1,13,12,0.000000," ","int(1/(b*x+a)^2,x)","-\frac{1}{\left(b x +a \right) b}"," ",0,"-1/(b*x+a)/b","A"
1060,1,56,37,0.007000," ","int(1/(b*x+a)^2/(-b*c*x+a*c),x)","-\frac{1}{2 \left(b x +a \right) a b c}-\frac{\ln \left(b x -a \right)}{4 a^{2} b c}+\frac{\ln \left(b x +a \right)}{4 a^{2} b c}"," ",0,"1/4/c/a^2/b*ln(b*x+a)-1/2/a/b/c/(b*x+a)-1/4/c/a^2/b*ln(b*x-a)","A"
1061,1,76,42,0.010000," ","int(1/(b*x+a)^2/(-b*c*x+a*c)^2,x)","-\frac{1}{4 \left(b x +a \right) a^{2} b \,c^{2}}-\frac{1}{4 \left(b x -a \right) a^{2} b \,c^{2}}-\frac{\ln \left(b x -a \right)}{4 a^{3} b \,c^{2}}+\frac{\ln \left(b x +a \right)}{4 a^{3} b \,c^{2}}"," ",0,"1/4/c^2/a^3/b*ln(b*x+a)-1/4/c^2/a^2/b/(b*x+a)-1/4/c^2/a^3/b*ln(b*x-a)-1/4/c^2/a^2/b/(b*x-a)","A"
1062,1,96,75,0.011000," ","int(1/(b*x+a)^2/(-b*c*x+a*c)^3,x)","\frac{1}{8 \left(b x -a \right)^{2} a^{2} b \,c^{3}}-\frac{1}{8 \left(b x +a \right) a^{3} b \,c^{3}}-\frac{1}{4 \left(b x -a \right) a^{3} b \,c^{3}}-\frac{3 \ln \left(b x -a \right)}{16 a^{4} b \,c^{3}}+\frac{3 \ln \left(b x +a \right)}{16 a^{4} b \,c^{3}}"," ",0,"3/16/c^3/a^4/b*ln(b*x+a)-1/8/a^3/b/c^3/(b*x+a)-3/16/c^3/a^4/b*ln(b*x-a)-1/4/c^3/a^3/b/(b*x-a)+1/8/c^3/a^2/b/(b*x-a)^2","A"
1063,1,113,76,0.008000," ","int((-x+1)^(9/2)*(1+x)^(1/2),x)","\frac{21 \sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{16 \sqrt{x +1}\, \sqrt{-x +1}}+\frac{\left(-x +1\right)^{\frac{9}{2}} \left(x +1\right)^{\frac{3}{2}}}{6}+\frac{3 \left(-x +1\right)^{\frac{7}{2}} \left(x +1\right)^{\frac{3}{2}}}{10}+\frac{21 \left(-x +1\right)^{\frac{5}{2}} \left(x +1\right)^{\frac{3}{2}}}{40}+\frac{7 \left(-x +1\right)^{\frac{3}{2}} \left(x +1\right)^{\frac{3}{2}}}{8}+\frac{21 \sqrt{-x +1}\, \left(x +1\right)^{\frac{3}{2}}}{16}-\frac{21 \sqrt{-x +1}\, \sqrt{x +1}}{16}"," ",0,"1/6*(-x+1)^(9/2)*(1+x)^(3/2)+3/10*(-x+1)^(7/2)*(1+x)^(3/2)+21/40*(-x+1)^(5/2)*(1+x)^(3/2)+7/8*(-x+1)^(3/2)*(1+x)^(3/2)+21/16*(-x+1)^(1/2)*(1+x)^(3/2)-21/16*(-x+1)^(1/2)*(1+x)^(1/2)+21/16*((1+x)*(-x+1))^(1/2)/(1+x)^(1/2)/(-x+1)^(1/2)*arcsin(x)","A"
1064,1,99,62,0.005000," ","int((-x+1)^(7/2)*(x+1)^(1/2),x)","\frac{7 \sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{8 \sqrt{x +1}\, \sqrt{-x +1}}+\frac{\left(-x +1\right)^{\frac{7}{2}} \left(x +1\right)^{\frac{3}{2}}}{5}+\frac{7 \left(-x +1\right)^{\frac{5}{2}} \left(x +1\right)^{\frac{3}{2}}}{20}+\frac{7 \left(-x +1\right)^{\frac{3}{2}} \left(x +1\right)^{\frac{3}{2}}}{12}+\frac{7 \sqrt{-x +1}\, \left(x +1\right)^{\frac{3}{2}}}{8}-\frac{7 \sqrt{-x +1}\, \sqrt{x +1}}{8}"," ",0,"1/5*(-x+1)^(7/2)*(x+1)^(3/2)+7/20*(-x+1)^(5/2)*(x+1)^(3/2)+7/12*(-x+1)^(3/2)*(x+1)^(3/2)+7/8*(-x+1)^(1/2)*(x+1)^(3/2)-7/8*(-x+1)^(1/2)*(x+1)^(1/2)+7/8*((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","A"
1065,1,85,48,0.006000," ","int((-x+1)^(5/2)*(x+1)^(1/2),x)","\frac{5 \sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{8 \sqrt{x +1}\, \sqrt{-x +1}}+\frac{\left(-x +1\right)^{\frac{5}{2}} \left(x +1\right)^{\frac{3}{2}}}{4}+\frac{5 \left(-x +1\right)^{\frac{3}{2}} \left(x +1\right)^{\frac{3}{2}}}{12}+\frac{5 \sqrt{-x +1}\, \left(x +1\right)^{\frac{3}{2}}}{8}-\frac{5 \sqrt{-x +1}\, \sqrt{x +1}}{8}"," ",0,"1/4*(-x+1)^(5/2)*(x+1)^(3/2)+5/12*(-x+1)^(3/2)*(x+1)^(3/2)+5/8*(-x+1)^(1/2)*(x+1)^(3/2)-5/8*(-x+1)^(1/2)*(x+1)^(1/2)+5/8*((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","A"
1066,1,71,34,0.005000," ","int((-x+1)^(3/2)*(x+1)^(1/2),x)","\frac{\sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{2 \sqrt{x +1}\, \sqrt{-x +1}}+\frac{\left(-x +1\right)^{\frac{3}{2}} \left(x +1\right)^{\frac{3}{2}}}{3}+\frac{\sqrt{-x +1}\, \left(x +1\right)^{\frac{3}{2}}}{2}-\frac{\sqrt{-x +1}\, \sqrt{x +1}}{2}"," ",0,"1/3*(-x+1)^(3/2)*(x+1)^(3/2)+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)*arcsin(x)","B"
1067,1,57,20,0.005000," ","int((-x+1)^(1/2)*(x+1)^(1/2),x)","\frac{\sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{2 \sqrt{x +1}\, \sqrt{-x +1}}-\frac{\left(-x +1\right)^{\frac{3}{2}} \sqrt{x +1}}{2}+\frac{\sqrt{-x +1}\, \sqrt{x +1}}{2}"," ",0,"-1/2*(-x+1)^(3/2)*(x+1)^(1/2)+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)*arcsin(x)","B"
1068,1,42,17,0.006000," ","int((x+1)^(1/2)/(-x+1)^(1/2),x)","\frac{\sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{\sqrt{x +1}\, \sqrt{-x +1}}-\sqrt{-x +1}\, \sqrt{x +1}"," ",0,"-(-x+1)^(1/2)*(x+1)^(1/2)+((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","B"
1069,1,64,19,0.030000," ","int((x+1)^(1/2)/(-x+1)^(3/2),x)","-\frac{\sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{\sqrt{x +1}\, \sqrt{-x +1}}+\frac{2 \sqrt{x +1}\, \sqrt{\left(x +1\right) \left(-x +1\right)}}{\sqrt{-\left(x +1\right) \left(x -1\right)}\, \sqrt{-x +1}}"," ",0,"2*(x+1)^(1/2)/(-(x+1)*(-1+x))^(1/2)*((x+1)*(-x+1))^(1/2)/(-x+1)^(1/2)-((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","B"
1070,1,15,14,0.003000," ","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"
1071,1,18,29,0.003000," ","int((x+1)^(1/2)/(-x+1)^(7/2),x)","-\frac{\left(x +1\right)^{\frac{3}{2}} \left(x -4\right)}{15 \left(-x +1\right)^{\frac{5}{2}}}"," ",0,"-1/15*(x+1)^(3/2)*(x-4)/(-x+1)^(5/2)","A"
1072,1,25,43,0.003000," ","int((x+1)^(1/2)/(-x+1)^(9/2),x)","\frac{\left(x +1\right)^{\frac{3}{2}} \left(2 x^{2}-10 x +23\right)}{105 \left(-x +1\right)^{\frac{7}{2}}}"," ",0,"1/105*(x+1)^(3/2)*(2*x^2-10*x+23)/(-x+1)^(7/2)","A"
1073,1,30,57,0.003000," ","int((x+1)^(1/2)/(-x+1)^(11/2),x)","-\frac{\left(x +1\right)^{\frac{3}{2}} \left(2 x^{3}-12 x^{2}+33 x -58\right)}{315 \left(-x +1\right)^{\frac{9}{2}}}"," ",0,"-1/315*(x+1)^(3/2)*(2*x^3-12*x^2+33*x-58)/(-x+1)^(9/2)","A"
1074,1,35,71,0.004000," ","int((x+1)^(1/2)/(-x+1)^(13/2),x)","\frac{\left(x +1\right)^{\frac{3}{2}} \left(8 x^{4}-56 x^{3}+180 x^{2}-364 x +547\right)}{3465 \left(-x +1\right)^{\frac{11}{2}}}"," ",0,"1/3465*(x+1)^(3/2)*(8*x^4-56*x^3+180*x^2-364*x+547)/(-x+1)^(11/2)","A"
1075,1,127,77,0.005000," ","int((-x+1)^(9/2)*(x+1)^(3/2),x)","\frac{9 \sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{16 \sqrt{x +1}\, \sqrt{-x +1}}+\frac{\left(-x +1\right)^{\frac{9}{2}} \left(x +1\right)^{\frac{5}{2}}}{7}+\frac{3 \left(-x +1\right)^{\frac{7}{2}} \left(x +1\right)^{\frac{5}{2}}}{14}+\frac{3 \left(-x +1\right)^{\frac{5}{2}} \left(x +1\right)^{\frac{5}{2}}}{10}+\frac{3 \left(-x +1\right)^{\frac{3}{2}} \left(x +1\right)^{\frac{5}{2}}}{8}+\frac{3 \sqrt{-x +1}\, \left(x +1\right)^{\frac{5}{2}}}{8}-\frac{3 \sqrt{-x +1}\, \left(x +1\right)^{\frac{3}{2}}}{16}-\frac{9 \sqrt{-x +1}\, \sqrt{x +1}}{16}"," ",0,"1/7*(-x+1)^(9/2)*(x+1)^(5/2)+3/14*(-x+1)^(7/2)*(x+1)^(5/2)+3/10*(-x+1)^(5/2)*(x+1)^(5/2)+3/8*(-x+1)^(3/2)*(x+1)^(5/2)+3/8*(-x+1)^(1/2)*(x+1)^(5/2)-3/16*(-x+1)^(1/2)*(x+1)^(3/2)-9/16*(-x+1)^(1/2)*(x+1)^(1/2)+9/16*((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","A"
1076,1,113,63,0.005000," ","int((-x+1)^(7/2)*(x+1)^(3/2),x)","\frac{7 \sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{16 \sqrt{x +1}\, \sqrt{-x +1}}+\frac{\left(-x +1\right)^{\frac{7}{2}} \left(x +1\right)^{\frac{5}{2}}}{6}+\frac{7 \left(-x +1\right)^{\frac{5}{2}} \left(x +1\right)^{\frac{5}{2}}}{30}+\frac{7 \left(-x +1\right)^{\frac{3}{2}} \left(x +1\right)^{\frac{5}{2}}}{24}+\frac{7 \sqrt{-x +1}\, \left(x +1\right)^{\frac{5}{2}}}{24}-\frac{7 \sqrt{-x +1}\, \left(x +1\right)^{\frac{3}{2}}}{48}-\frac{7 \sqrt{-x +1}\, \sqrt{x +1}}{16}"," ",0,"1/6*(-x+1)^(7/2)*(x+1)^(5/2)+7/30*(-x+1)^(5/2)*(x+1)^(5/2)+7/24*(-x+1)^(3/2)*(x+1)^(5/2)+7/24*(-x+1)^(1/2)*(x+1)^(5/2)-7/48*(-x+1)^(1/2)*(x+1)^(3/2)-7/16*(-x+1)^(1/2)*(x+1)^(1/2)+7/16*((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","A"
1077,1,99,49,0.005000," ","int((-x+1)^(5/2)*(x+1)^(3/2),x)","\frac{3 \sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{8 \sqrt{x +1}\, \sqrt{-x +1}}+\frac{\left(-x +1\right)^{\frac{5}{2}} \left(x +1\right)^{\frac{5}{2}}}{5}+\frac{\left(-x +1\right)^{\frac{3}{2}} \left(x +1\right)^{\frac{5}{2}}}{4}+\frac{\sqrt{-x +1}\, \left(x +1\right)^{\frac{5}{2}}}{4}-\frac{\sqrt{-x +1}\, \left(x +1\right)^{\frac{3}{2}}}{8}-\frac{3 \sqrt{-x +1}\, \sqrt{x +1}}{8}"," ",0,"1/5*(-x+1)^(5/2)*(x+1)^(5/2)+1/4*(-x+1)^(3/2)*(x+1)^(5/2)+1/4*(-x+1)^(1/2)*(x+1)^(5/2)-1/8*(-x+1)^(1/2)*(x+1)^(3/2)-3/8*(-x+1)^(1/2)*(x+1)^(1/2)+3/8*((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","A"
1078,1,85,35,0.005000," ","int((-x+1)^(3/2)*(x+1)^(3/2),x)","\frac{3 \sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{8 \sqrt{x +1}\, \sqrt{-x +1}}+\frac{\left(-x +1\right)^{\frac{3}{2}} \left(x +1\right)^{\frac{5}{2}}}{4}+\frac{\sqrt{-x +1}\, \left(x +1\right)^{\frac{5}{2}}}{4}-\frac{\sqrt{-x +1}\, \left(x +1\right)^{\frac{3}{2}}}{8}-\frac{3 \sqrt{-x +1}\, \sqrt{x +1}}{8}"," ",0,"1/4*(-x+1)^(3/2)*(x+1)^(5/2)+1/4*(-x+1)^(1/2)*(x+1)^(5/2)-1/8*(-x+1)^(1/2)*(x+1)^(3/2)-3/8*(-x+1)^(1/2)*(x+1)^(1/2)+3/8*((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","B"
1079,1,71,34,0.006000," ","int((-x+1)^(1/2)*(x+1)^(3/2),x)","\frac{\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{5}{2}}}{3}-\frac{\sqrt{-x +1}\, \left(x +1\right)^{\frac{3}{2}}}{6}-\frac{\sqrt{-x +1}\, \sqrt{x +1}}{2}"," ",0,"1/3*(-x+1)^(1/2)*(x+1)^(5/2)-1/6*(-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)*arcsin(x)","B"
1080,1,57,33,0.004000," ","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"
1081,1,72,33,0.016000," ","int((x+1)^(3/2)/(-x+1)^(3/2),x)","-\frac{3 \sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{\sqrt{x +1}\, \sqrt{-x +1}}-\frac{\left(x^{2}-4 x -5\right) \sqrt{\left(x +1\right) \left(-x +1\right)}}{\sqrt{-\left(x +1\right) \left(x -1\right)}\, \sqrt{-x +1}\, \sqrt{x +1}}"," ",0,"-(x^2-4*x-5)/(-(x+1)*(x-1))^(1/2)*((x+1)*(-x+1))^(1/2)/(-x+1)^(1/2)/(x+1)^(1/2)-3*((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","B"
1082,1,76,31,0.020000," ","int((x+1)^(3/2)/(-x+1)^(5/2),x)","\frac{\sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{\sqrt{x +1}\, \sqrt{-x +1}}-\frac{4 \left(2 x^{2}+x -1\right) \sqrt{\left(x +1\right) \left(-x +1\right)}}{3 \left(x -1\right) \sqrt{-\left(x +1\right) \left(x -1\right)}\, \sqrt{-x +1}\, \sqrt{x +1}}"," ",0,"-4/3*(2*x^2+x-1)/(x-1)/(-(x+1)*(x-1))^(1/2)*((x+1)*(-x+1))^(1/2)/(-x+1)^(1/2)/(x+1)^(1/2)+((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","B"
1083,1,15,14,0.003000," ","int((x+1)^(3/2)/(-x+1)^(7/2),x)","\frac{\left(x +1\right)^{\frac{5}{2}}}{5 \left(-x +1\right)^{\frac{5}{2}}}"," ",0,"1/5*(x+1)^(5/2)/(-x+1)^(5/2)","A"
1084,1,18,29,0.003000," ","int((x+1)^(3/2)/(-x+1)^(9/2),x)","-\frac{\left(x +1\right)^{\frac{5}{2}} \left(x -6\right)}{35 \left(-x +1\right)^{\frac{7}{2}}}"," ",0,"-1/35*(x+1)^(5/2)*(x-6)/(-x+1)^(7/2)","A"
1085,1,25,43,0.003000," ","int((x+1)^(3/2)/(-x+1)^(11/2),x)","\frac{\left(x +1\right)^{\frac{5}{2}} \left(2 x^{2}-14 x +47\right)}{315 \left(-x +1\right)^{\frac{9}{2}}}"," ",0,"1/315*(x+1)^(5/2)*(2*x^2-14*x+47)/(-x+1)^(9/2)","A"
1086,1,30,57,0.002000," ","int((x+1)^(3/2)/(-x+1)^(13/2),x)","-\frac{\left(x +1\right)^{\frac{5}{2}} \left(2 x^{3}-16 x^{2}+61 x -152\right)}{1155 \left(-x +1\right)^{\frac{11}{2}}}"," ",0,"-1/1155*(x+1)^(5/2)*(2*x^3-16*x^2+61*x-152)/(-x+1)^(11/2)","A"
1087,1,35,71,0.003000," ","int((x+1)^(3/2)/(-x+1)^(15/2),x)","\frac{\left(x +1\right)^{\frac{5}{2}} \left(8 x^{4}-72 x^{3}+308 x^{2}-852 x +1763\right)}{15015 \left(-x +1\right)^{\frac{13}{2}}}"," ",0,"1/15015*(x+1)^(5/2)*(8*x^4-72*x^3+308*x^2-852*x+1763)/(-x+1)^(13/2)","A"
1088,1,155,92,0.006000," ","int((-x+1)^(11/2)*(x+1)^(5/2),x)","\frac{55 \sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{128 \sqrt{x +1}\, \sqrt{-x +1}}+\frac{\left(-x +1\right)^{\frac{11}{2}} \left(x +1\right)^{\frac{7}{2}}}{9}+\frac{11 \left(-x +1\right)^{\frac{9}{2}} \left(x +1\right)^{\frac{7}{2}}}{72}+\frac{11 \left(-x +1\right)^{\frac{7}{2}} \left(x +1\right)^{\frac{7}{2}}}{56}+\frac{11 \left(-x +1\right)^{\frac{5}{2}} \left(x +1\right)^{\frac{7}{2}}}{48}+\frac{11 \left(-x +1\right)^{\frac{3}{2}} \left(x +1\right)^{\frac{7}{2}}}{48}+\frac{11 \sqrt{-x +1}\, \left(x +1\right)^{\frac{7}{2}}}{64}-\frac{11 \sqrt{-x +1}\, \left(x +1\right)^{\frac{5}{2}}}{192}-\frac{55 \sqrt{-x +1}\, \left(x +1\right)^{\frac{3}{2}}}{384}-\frac{55 \sqrt{-x +1}\, \sqrt{x +1}}{128}"," ",0,"1/9*(-x+1)^(11/2)*(x+1)^(7/2)+11/72*(-x+1)^(9/2)*(x+1)^(7/2)+11/56*(-x+1)^(7/2)*(x+1)^(7/2)+11/48*(-x+1)^(5/2)*(x+1)^(7/2)+11/48*(-x+1)^(3/2)*(x+1)^(7/2)+11/64*(-x+1)^(1/2)*(x+1)^(7/2)-11/192*(-x+1)^(1/2)*(x+1)^(5/2)-55/384*(-x+1)^(1/2)*(x+1)^(3/2)-55/128*(-x+1)^(1/2)*(x+1)^(1/2)+55/128*((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","A"
1089,1,141,78,0.005000," ","int((-x+1)^(9/2)*(x+1)^(5/2),x)","\frac{45 \sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{128 \sqrt{x +1}\, \sqrt{-x +1}}+\frac{\left(-x +1\right)^{\frac{9}{2}} \left(x +1\right)^{\frac{7}{2}}}{8}+\frac{9 \left(-x +1\right)^{\frac{7}{2}} \left(x +1\right)^{\frac{7}{2}}}{56}+\frac{3 \left(-x +1\right)^{\frac{5}{2}} \left(x +1\right)^{\frac{7}{2}}}{16}+\frac{3 \left(-x +1\right)^{\frac{3}{2}} \left(x +1\right)^{\frac{7}{2}}}{16}+\frac{9 \sqrt{-x +1}\, \left(x +1\right)^{\frac{7}{2}}}{64}-\frac{3 \sqrt{-x +1}\, \left(x +1\right)^{\frac{5}{2}}}{64}-\frac{15 \sqrt{-x +1}\, \left(x +1\right)^{\frac{3}{2}}}{128}-\frac{45 \sqrt{-x +1}\, \sqrt{x +1}}{128}"," ",0,"1/8*(-x+1)^(9/2)*(x+1)^(7/2)+9/56*(-x+1)^(7/2)*(x+1)^(7/2)+3/16*(-x+1)^(5/2)*(x+1)^(7/2)+3/16*(-x+1)^(3/2)*(x+1)^(7/2)+9/64*(-x+1)^(1/2)*(x+1)^(7/2)-3/64*(-x+1)^(1/2)*(x+1)^(5/2)-15/128*(-x+1)^(1/2)*(x+1)^(3/2)-45/128*(-x+1)^(1/2)*(x+1)^(1/2)+45/128*((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","A"
1090,1,127,64,0.005000," ","int((-x+1)^(7/2)*(x+1)^(5/2),x)","\frac{5 \sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{16 \sqrt{x +1}\, \sqrt{-x +1}}+\frac{\left(-x +1\right)^{\frac{7}{2}} \left(x +1\right)^{\frac{7}{2}}}{7}+\frac{\left(-x +1\right)^{\frac{5}{2}} \left(x +1\right)^{\frac{7}{2}}}{6}+\frac{\left(-x +1\right)^{\frac{3}{2}} \left(x +1\right)^{\frac{7}{2}}}{6}+\frac{\sqrt{-x +1}\, \left(x +1\right)^{\frac{7}{2}}}{8}-\frac{\sqrt{-x +1}\, \left(x +1\right)^{\frac{5}{2}}}{24}-\frac{5 \sqrt{-x +1}\, \left(x +1\right)^{\frac{3}{2}}}{48}-\frac{5 \sqrt{-x +1}\, \sqrt{x +1}}{16}"," ",0,"1/7*(-x+1)^(7/2)*(x+1)^(7/2)+1/6*(-x+1)^(5/2)*(x+1)^(7/2)+1/6*(-x+1)^(3/2)*(x+1)^(7/2)+1/8*(-x+1)^(1/2)*(x+1)^(7/2)-1/24*(-x+1)^(1/2)*(x+1)^(5/2)-5/48*(-x+1)^(1/2)*(x+1)^(3/2)-5/16*(-x+1)^(1/2)*(x+1)^(1/2)+5/16*((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","A"
1091,1,113,50,0.004000," ","int((-x+1)^(5/2)*(x+1)^(5/2),x)","\frac{5 \sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{16 \sqrt{x +1}\, \sqrt{-x +1}}+\frac{\left(-x +1\right)^{\frac{5}{2}} \left(x +1\right)^{\frac{7}{2}}}{6}+\frac{\left(-x +1\right)^{\frac{3}{2}} \left(x +1\right)^{\frac{7}{2}}}{6}+\frac{\sqrt{-x +1}\, \left(x +1\right)^{\frac{7}{2}}}{8}-\frac{\sqrt{-x +1}\, \left(x +1\right)^{\frac{5}{2}}}{24}-\frac{5 \sqrt{-x +1}\, \left(x +1\right)^{\frac{3}{2}}}{48}-\frac{5 \sqrt{-x +1}\, \sqrt{x +1}}{16}"," ",0,"1/6*(-x+1)^(5/2)*(x+1)^(7/2)+1/6*(-x+1)^(3/2)*(x+1)^(7/2)+1/8*(-x+1)^(1/2)*(x+1)^(7/2)-1/24*(-x+1)^(1/2)*(x+1)^(5/2)-5/48*(-x+1)^(1/2)*(x+1)^(3/2)-5/16*(-x+1)^(1/2)*(x+1)^(1/2)+5/16*((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","B"
1092,1,99,49,0.005000," ","int((-x+1)^(3/2)*(x+1)^(5/2),x)","\frac{3 \sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{8 \sqrt{x +1}\, \sqrt{-x +1}}+\frac{\left(-x +1\right)^{\frac{3}{2}} \left(x +1\right)^{\frac{7}{2}}}{5}+\frac{3 \sqrt{-x +1}\, \left(x +1\right)^{\frac{7}{2}}}{20}-\frac{\sqrt{-x +1}\, \left(x +1\right)^{\frac{5}{2}}}{20}-\frac{\sqrt{-x +1}\, \left(x +1\right)^{\frac{3}{2}}}{8}-\frac{3 \sqrt{-x +1}\, \sqrt{x +1}}{8}"," ",0,"1/5*(-x+1)^(3/2)*(x+1)^(7/2)+3/20*(-x+1)^(1/2)*(x+1)^(7/2)-1/20*(-x+1)^(1/2)*(x+1)^(5/2)-1/8*(-x+1)^(1/2)*(x+1)^(3/2)-3/8*(-x+1)^(1/2)*(x+1)^(1/2)+3/8*((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","A"
1093,1,85,48,0.005000," ","int((-x+1)^(1/2)*(x+1)^(5/2),x)","\frac{5 \sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{8 \sqrt{x +1}\, \sqrt{-x +1}}+\frac{\sqrt{-x +1}\, \left(x +1\right)^{\frac{7}{2}}}{4}-\frac{\sqrt{-x +1}\, \left(x +1\right)^{\frac{5}{2}}}{12}-\frac{5 \sqrt{-x +1}\, \left(x +1\right)^{\frac{3}{2}}}{24}-\frac{5 \sqrt{-x +1}\, \sqrt{x +1}}{8}"," ",0,"1/4*(-x+1)^(1/2)*(x+1)^(7/2)-1/12*(-x+1)^(1/2)*(x+1)^(5/2)-5/24*(-x+1)^(1/2)*(x+1)^(3/2)-5/8*(-x+1)^(1/2)*(x+1)^(1/2)+5/8*((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","A"
1094,1,71,47,0.005000," ","int((x+1)^(5/2)/(-x+1)^(1/2),x)","\frac{5 \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{5}{2}}}{3}-\frac{5 \sqrt{-x +1}\, \left(x +1\right)^{\frac{3}{2}}}{6}-\frac{5 \sqrt{-x +1}\, \sqrt{x +1}}{2}"," ",0,"-1/3*(-x+1)^(1/2)*(x+1)^(5/2)-5/6*(-x+1)^(1/2)*(x+1)^(3/2)-5/2*(-x+1)^(1/2)*(x+1)^(1/2)+5/2*((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","A"
1095,1,77,47,0.018000," ","int((x+1)^(5/2)/(-x+1)^(3/2),x)","-\frac{15 \sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{2 \sqrt{x +1}\, \sqrt{-x +1}}-\frac{\left(x^{3}+8 x^{2}-17 x -24\right) \sqrt{\left(x +1\right) \left(-x +1\right)}}{2 \sqrt{-\left(x +1\right) \left(x -1\right)}\, \sqrt{-x +1}\, \sqrt{x +1}}"," ",0,"-1/2*(x^3+8*x^2-17*x-24)/(-(x+1)*(x-1))^(1/2)*((x+1)*(-x+1))^(1/2)/(-x+1)^(1/2)/(x+1)^(1/2)-15/2*((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","A"
1096,1,84,47,0.020000," ","int((x+1)^(5/2)/(-x+1)^(5/2),x)","\frac{5 \sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{\sqrt{x +1}\, \sqrt{-x +1}}+\frac{\left(3 x^{3}-31 x^{2}-11 x +23\right) \sqrt{\left(x +1\right) \left(-x +1\right)}}{3 \left(x -1\right) \sqrt{-\left(x +1\right) \left(x -1\right)}\, \sqrt{-x +1}\, \sqrt{x +1}}"," ",0,"1/3*(3*x^3-31*x^2-11*x+23)/(x-1)/(-(x+1)*(x-1))^(1/2)*((x+1)*(-x+1))^(1/2)/(-x+1)^(1/2)/(x+1)^(1/2)+5*((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","A"
1097,1,84,47,0.022000," ","int((x+1)^(5/2)/(-x+1)^(7/2),x)","-\frac{\sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{\sqrt{x +1}\, \sqrt{-x +1}}+\frac{2 \left(23 x^{3}-x^{2}-11 x +13\right) \sqrt{\left(x +1\right) \left(-x +1\right)}}{15 \left(x -1\right)^{2} \sqrt{-\left(x +1\right) \left(x -1\right)}\, \sqrt{-x +1}\, \sqrt{x +1}}"," ",0,"2/15*(23*x^3-x^2-11*x+13)/(x-1)^2/(-(x+1)*(x-1))^(1/2)*((x+1)*(-x+1))^(1/2)/(-x+1)^(1/2)/(x+1)^(1/2)-((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","A"
1098,1,15,14,0.003000," ","int((x+1)^(5/2)/(-x+1)^(9/2),x)","\frac{\left(x +1\right)^{\frac{7}{2}}}{7 \left(-x +1\right)^{\frac{7}{2}}}"," ",0,"1/7*(x+1)^(7/2)/(-x+1)^(7/2)","A"
1099,1,18,29,0.005000," ","int((x+1)^(5/2)/(-x+1)^(11/2),x)","-\frac{\left(x +1\right)^{\frac{7}{2}} \left(x -8\right)}{63 \left(-x +1\right)^{\frac{9}{2}}}"," ",0,"-1/63*(x+1)^(7/2)*(x-8)/(-x+1)^(9/2)","A"
1100,1,25,43,0.003000," ","int((x+1)^(5/2)/(-x+1)^(13/2),x)","\frac{\left(x +1\right)^{\frac{7}{2}} \left(2 x^{2}-18 x +79\right)}{693 \left(-x +1\right)^{\frac{11}{2}}}"," ",0,"1/693*(x+1)^(7/2)*(2*x^2-18*x+79)/(-x+1)^(11/2)","A"
1101,1,30,57,0.002000," ","int((x+1)^(5/2)/(-x+1)^(15/2),x)","-\frac{\left(x +1\right)^{\frac{7}{2}} \left(2 x^{3}-20 x^{2}+97 x -310\right)}{3003 \left(-x +1\right)^{\frac{13}{2}}}"," ",0,"-1/3003*(x+1)^(7/2)*(2*x^3-20*x^2+97*x-310)/(-x+1)^(13/2)","A"
1102,1,35,71,0.003000," ","int((x+1)^(5/2)/(-x+1)^(17/2),x)","\frac{\left(x +1\right)^{\frac{7}{2}} \left(8 x^{4}-88 x^{3}+468 x^{2}-1628 x +4243\right)}{45045 \left(-x +1\right)^{\frac{15}{2}}}"," ",0,"1/45045*(x+1)^(7/2)*(8*x^4-88*x^3+468*x^2-1628*x+4243)/(-x+1)^(15/2)","A"
1103,1,40,85,0.003000," ","int((x+1)^(5/2)/(-x+1)^(19/2),x)","-\frac{\left(x +1\right)^{\frac{7}{2}} \left(8 x^{5}-96 x^{4}+556 x^{3}-2096 x^{2}+5871 x -13252\right)}{153153 \left(-x +1\right)^{\frac{17}{2}}}"," ",0,"-1/153153*(x+1)^(7/2)*(8*x^5-96*x^4+556*x^3-2096*x^2+5871*x-13252)/(-x+1)^(17/2)","A"
1104,1,98,50,0.013000," ","int((a*x+1)^(3/2)/(-a*x+1)^(1/2),x)","\frac{3 \sqrt{\left(a x +1\right) \left(-a x +1\right)}\, \arctan \left(\frac{\sqrt{a^{2}}\, x}{\sqrt{-a^{2} x^{2}+1}}\right)}{2 \sqrt{a x +1}\, \sqrt{-a x +1}\, \sqrt{a^{2}}}-\frac{\left(a x +1\right)^{\frac{3}{2}} \sqrt{-a x +1}}{2 a}-\frac{3 \sqrt{-a x +1}\, \sqrt{a x +1}}{2 a}"," ",0,"-1/2*(a*x+1)^(3/2)*(-a*x+1)^(1/2)/a-3/2*(-a*x+1)^(1/2)*(a*x+1)^(1/2)/a+3/2*((a*x+1)*(-a*x+1))^(1/2)/(a*x+1)^(1/2)/(-a*x+1)^(1/2)/(a^2)^(1/2)*arctan((a^2)^(1/2)*x/(-a^2*x^2+1)^(1/2))","A"
1105,1,118,52,0.013000," ","int((a*x+1)*(-a^2*x^2+1)^(1/2)/(-a*x+1),x)","-\frac{\sqrt{-a^{2} x^{2}+1}\, x}{2}+\frac{2 \arctan \left(\frac{\sqrt{a^{2}}\, x}{\sqrt{-\left(x -\frac{1}{a}\right)^{2} a^{2}-2 \left(x -\frac{1}{a}\right) a}}\right)}{\sqrt{a^{2}}}-\frac{\arctan \left(\frac{\sqrt{a^{2}}\, x}{\sqrt{-a^{2} x^{2}+1}}\right)}{2 \sqrt{a^{2}}}-\frac{2 \sqrt{-\left(x -\frac{1}{a}\right)^{2} a^{2}-2 \left(x -\frac{1}{a}\right) a}}{a}"," ",0,"-1/2*x*(-a^2*x^2+1)^(1/2)-1/2/(a^2)^(1/2)*arctan((a^2)^(1/2)/(-a^2*x^2+1)^(1/2)*x)-2/a*(-(x-1/a)^2*a^2-2*(x-1/a)*a)^(1/2)+2/(a^2)^(1/2)*arctan((a^2)^(1/2)*x/(-(x-1/a)^2*a^2-2*(x-1/a)*a)^(1/2))","B"
1106,1,85,61,0.006000," ","int((-x+1)^(7/2)/(x+1)^(1/2),x)","\frac{35 \sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{8 \sqrt{x +1}\, \sqrt{-x +1}}+\frac{\left(-x +1\right)^{\frac{7}{2}} \sqrt{x +1}}{4}+\frac{7 \left(-x +1\right)^{\frac{5}{2}} \sqrt{x +1}}{12}+\frac{35 \left(-x +1\right)^{\frac{3}{2}} \sqrt{x +1}}{24}+\frac{35 \sqrt{-x +1}\, \sqrt{x +1}}{8}"," ",0,"1/4*(-x+1)^(7/2)*(x+1)^(1/2)+7/12*(-x+1)^(5/2)*(x+1)^(1/2)+35/24*(-x+1)^(3/2)*(x+1)^(1/2)+35/8*(-x+1)^(1/2)*(x+1)^(1/2)+35/8*((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","A"
1107,1,71,47,0.005000," ","int((-x+1)^(5/2)/(x+1)^(1/2),x)","\frac{5 \sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{2 \sqrt{x +1}\, \sqrt{-x +1}}+\frac{\left(-x +1\right)^{\frac{5}{2}} \sqrt{x +1}}{3}+\frac{5 \left(-x +1\right)^{\frac{3}{2}} \sqrt{x +1}}{6}+\frac{5 \sqrt{-x +1}\, \sqrt{x +1}}{2}"," ",0,"1/3*(-x+1)^(5/2)*(x+1)^(1/2)+5/6*(-x+1)^(3/2)*(x+1)^(1/2)+5/2*(-x+1)^(1/2)*(x+1)^(1/2)+5/2*((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","A"
1108,1,57,33,0.003000," ","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{\left(-x +1\right)^{\frac{3}{2}} \sqrt{x +1}}{2}+\frac{3 \sqrt{-x +1}\, \sqrt{x +1}}{2}"," ",0,"1/2*(-x+1)^(3/2)*(x+1)^(1/2)+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"
1109,1,41,16,0.004000," ","int((-x+1)^(1/2)/(x+1)^(1/2),x)","\frac{\sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{\sqrt{x +1}\, \sqrt{-x +1}}+\sqrt{-x +1}\, \sqrt{x +1}"," ",0,"(-x+1)^(1/2)*(x+1)^(1/2)+((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","B"
1110,1,27,2,0.004000," ","int(1/(-x+1)^(1/2)/(x+1)^(1/2),x)","\frac{\sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{\sqrt{x +1}\, \sqrt{-x +1}}"," ",0,"((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","B"
1111,1,14,13,0.002000," ","int(1/(-x+1)^(3/2)/(x+1)^(1/2),x)","\frac{\sqrt{x +1}}{\sqrt{-x +1}}"," ",0,"(x+1)^(1/2)/(-x+1)^(1/2)","A"
1112,1,18,29,0.003000," ","int(1/(-x+1)^(5/2)/(x+1)^(1/2),x)","-\frac{\sqrt{x +1}\, \left(x -2\right)}{3 \left(-x +1\right)^{\frac{3}{2}}}"," ",0,"-1/3*(x+1)^(1/2)*(-2+x)/(-x+1)^(3/2)","A"
1113,1,25,43,0.004000," ","int(1/(-x+1)^(7/2)/(x+1)^(1/2),x)","\frac{\sqrt{x +1}\, \left(2 x^{2}-6 x +7\right)}{15 \left(-x +1\right)^{\frac{5}{2}}}"," ",0,"1/15*(x+1)^(1/2)*(2*x^2-6*x+7)/(-x+1)^(5/2)","A"
1114,1,30,57,0.004000," ","int(1/(-x+1)^(9/2)/(x+1)^(1/2),x)","-\frac{\sqrt{x +1}\, \left(2 x^{3}-8 x^{2}+13 x -12\right)}{35 \left(-x +1\right)^{\frac{7}{2}}}"," ",0,"-1/35*(x+1)^(1/2)*(2*x^3-8*x^2+13*x-12)/(-x+1)^(7/2)","A"
1115,1,35,71,0.004000," ","int(1/(-x+1)^(11/2)/(x+1)^(1/2),x)","\frac{\sqrt{x +1}\, \left(8 x^{4}-40 x^{3}+84 x^{2}-100 x +83\right)}{315 \left(-x +1\right)^{\frac{9}{2}}}"," ",0,"1/315*(x+1)^(1/2)*(8*x^4-40*x^3+84*x^2-100*x+83)/(-x+1)^(9/2)","A"
1116,1,84,61,0.017000," ","int((-x+1)^(7/2)/(x+1)^(3/2),x)","-\frac{35 \sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{2 \sqrt{x +1}\, \sqrt{-x +1}}+\frac{\left(2 x^{4}-15 x^{3}+68 x^{2}+111 x -166\right) \sqrt{\left(x +1\right) \left(-x +1\right)}}{6 \sqrt{-\left(x +1\right) \left(x -1\right)}\, \sqrt{-x +1}\, \sqrt{x +1}}"," ",0,"1/6*(2*x^4-15*x^3+68*x^2+111*x-166)/(-(x+1)*(x-1))^(1/2)*((x+1)*(-x+1))^(1/2)/(-x+1)^(1/2)/(x+1)^(1/2)-35/2*((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","A"
1117,1,77,47,0.017000," ","int((-x+1)^(5/2)/(x+1)^(3/2),x)","-\frac{15 \sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{2 \sqrt{x +1}\, \sqrt{-x +1}}-\frac{\left(x^{3}-8 x^{2}-17 x +24\right) \sqrt{\left(x +1\right) \left(-x +1\right)}}{2 \sqrt{-\left(x +1\right) \left(x -1\right)}\, \sqrt{-x +1}\, \sqrt{x +1}}"," ",0,"-1/2*(x^3-8*x^2-17*x+24)/(-(x+1)*(x-1))^(1/2)*((x+1)*(-x+1))^(1/2)/(-x+1)^(1/2)/(x+1)^(1/2)-15/2*((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","A"
1118,1,71,33,0.016000," ","int((-x+1)^(3/2)/(x+1)^(3/2),x)","-\frac{3 \sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{\sqrt{x +1}\, \sqrt{-x +1}}+\frac{\left(x^{2}+4 x -5\right) \sqrt{\left(x +1\right) \left(-x +1\right)}}{\sqrt{-\left(x +1\right) \left(x -1\right)}\, \sqrt{-x +1}\, \sqrt{x +1}}"," ",0,"(x^2+4*x-5)/(-(x+1)*(x-1))^(1/2)*((x+1)*(-x+1))^(1/2)/(-x+1)^(1/2)/(x+1)^(1/2)-3*((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","B"
1119,1,67,19,0.015000," ","int((-x+1)^(1/2)/(x+1)^(3/2),x)","-\frac{\sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{\sqrt{x +1}\, \sqrt{-x +1}}+\frac{2 \left(x -1\right) \sqrt{\left(x +1\right) \left(-x +1\right)}}{\sqrt{-\left(x +1\right) \left(x -1\right)}\, \sqrt{-x +1}\, \sqrt{x +1}}"," ",0,"2*(x-1)/(-(x+1)*(x-1))^(1/2)*((x+1)*(-x+1))^(1/2)/(-x+1)^(1/2)/(x+1)^(1/2)-((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","B"
1120,1,15,14,0.004000," ","int(1/(-x+1)^(1/2)/(x+1)^(3/2),x)","-\frac{\sqrt{-x +1}}{\sqrt{x +1}}"," ",0,"-(-x+1)^(1/2)/(x+1)^(1/2)","A"
1121,1,15,14,0.002000," ","int(1/(-x+1)^(3/2)/(x+1)^(3/2),x)","\frac{x}{\sqrt{-x +1}\, \sqrt{x +1}}"," ",0,"x/(-x+1)^(1/2)/(x+1)^(1/2)","A"
1122,1,25,30,0.003000," ","int(1/(-x+1)^(5/2)/(x+1)^(3/2),x)","-\frac{2 x^{2}-2 x -1}{3 \sqrt{x +1}\, \left(-x +1\right)^{\frac{3}{2}}}"," ",0,"-1/3*(2*x^2-2*x-1)/(x+1)^(1/2)/(-x+1)^(3/2)","A"
1123,1,28,44,0.003000," ","int(1/(-x+1)^(7/2)/(x+1)^(3/2),x)","\frac{2 x^{3}-4 x^{2}+x +2}{5 \sqrt{x +1}\, \left(-x +1\right)^{\frac{5}{2}}}"," ",0,"1/5*(2*x^3-4*x^2+x+2)/(x+1)^(1/2)/(-x+1)^(5/2)","A"
1124,1,35,58,0.004000," ","int(1/(-x+1)^(9/2)/(x+1)^(3/2),x)","-\frac{8 x^{4}-24 x^{3}+20 x^{2}+4 x -13}{35 \sqrt{x +1}\, \left(-x +1\right)^{\frac{7}{2}}}"," ",0,"-1/35*(8*x^4-24*x^3+20*x^2+4*x-13)/(x+1)^(1/2)/(-x+1)^(7/2)","A"
1125,1,40,72,0.005000," ","int(1/(-x+1)^(11/2)/(x+1)^(3/2),x)","\frac{8 x^{5}-32 x^{4}+44 x^{3}-16 x^{2}-17 x +20}{63 \sqrt{x +1}\, \left(-x +1\right)^{\frac{9}{2}}}"," ",0,"1/63*(8*x^5-32*x^4+44*x^3-16*x^2-17*x+20)/(x+1)^(1/2)/(-x+1)^(9/2)","A"
1126,1,89,75,0.022000," ","int((-x+1)^(9/2)/(x+1)^(5/2),x)","\frac{105 \sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{2 \sqrt{x +1}\, \sqrt{-x +1}}-\frac{\left(2 x^{5}-19 x^{4}+119 x^{3}+577 x^{2}-185 x -494\right) \sqrt{\left(x +1\right) \left(-x +1\right)}}{6 \left(x +1\right)^{\frac{3}{2}} \sqrt{-\left(x +1\right) \left(x -1\right)}\, \sqrt{-x +1}}"," ",0,"-1/6*(2*x^5-19*x^4+119*x^3+577*x^2-185*x-494)/(x+1)^(3/2)/(-(x+1)*(x-1))^(1/2)*((x+1)*(-x+1))^(1/2)/(-x+1)^(1/2)+105/2*((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","A"
1127,1,84,61,0.020000," ","int((-x+1)^(7/2)/(x+1)^(5/2),x)","\frac{35 \sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{2 \sqrt{x +1}\, \sqrt{-x +1}}+\frac{\left(3 x^{4}-33 x^{3}-199 x^{2}+65 x +164\right) \sqrt{\left(x +1\right) \left(-x +1\right)}}{6 \left(x +1\right)^{\frac{3}{2}} \sqrt{-\left(x +1\right) \left(x -1\right)}\, \sqrt{-x +1}}"," ",0,"1/6*(3*x^4-33*x^3-199*x^2+65*x+164)/(x+1)^(3/2)/(-(x+1)*(x-1))^(1/2)*((x+1)*(-x+1))^(1/2)/(-x+1)^(1/2)+35/2*((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","A"
1128,1,79,47,0.021000," ","int((-x+1)^(5/2)/(x+1)^(5/2),x)","\frac{5 \sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{\sqrt{x +1}\, \sqrt{-x +1}}-\frac{\left(3 x^{3}+31 x^{2}-11 x -23\right) \sqrt{\left(x +1\right) \left(-x +1\right)}}{3 \left(x +1\right)^{\frac{3}{2}} \sqrt{-\left(x +1\right) \left(x -1\right)}\, \sqrt{-x +1}}"," ",0,"-1/3*(3*x^3+31*x^2-11*x-23)/(x+1)^(3/2)/(-(x+1)*(x-1))^(1/2)*((x+1)*(-x+1))^(1/2)/(-x+1)^(1/2)+5*((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","A"
1129,1,73,31,0.018000," ","int((-x+1)^(3/2)/(x+1)^(5/2),x)","\frac{\sqrt{\left(x +1\right) \left(-x +1\right)}\, \arcsin \left(x \right)}{\sqrt{x +1}\, \sqrt{-x +1}}-\frac{4 \left(2 x^{2}-x -1\right) \sqrt{\left(x +1\right) \left(-x +1\right)}}{3 \left(x +1\right)^{\frac{3}{2}} \sqrt{-\left(x +1\right) \left(x -1\right)}\, \sqrt{-x +1}}"," ",0,"-4/3*(2*x^2-x-1)/(x+1)^(3/2)/(-(x+1)*(x-1))^(1/2)*((x+1)*(-x+1))^(1/2)/(-x+1)^(1/2)+((x+1)*(-x+1))^(1/2)/(x+1)^(1/2)/(-x+1)^(1/2)*arcsin(x)","B"
1130,1,15,14,0.002000," ","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"
1131,1,18,29,0.003000," ","int(1/(-x+1)^(1/2)/(x+1)^(5/2),x)","-\frac{\left(x +2\right) \sqrt{-x +1}}{3 \left(x +1\right)^{\frac{3}{2}}}"," ",0,"-1/3*(2+x)/(x+1)^(3/2)*(-x+1)^(1/2)","A"
1132,1,25,42,0.003000," ","int(1/(-x+1)^(3/2)/(x+1)^(5/2),x)","\frac{2 x^{2}+2 x -1}{3 \left(x +1\right)^{\frac{3}{2}} \sqrt{-x +1}}"," ",0,"1/3*(2*x^2+2*x-1)/(x+1)^(3/2)/(-x+1)^(1/2)","A"
1133,1,23,31,0.002000," ","int(1/(-x+1)^(5/2)/(x+1)^(5/2),x)","-\frac{\left(2 x^{2}-3\right) x}{3 \left(x +1\right)^{\frac{3}{2}} \left(-x +1\right)^{\frac{3}{2}}}"," ",0,"-1/3*x*(2*x^2-3)/(x+1)^(3/2)/(-x+1)^(3/2)","A"
1134,1,35,45,0.001000," ","int(1/(-x+1)^(7/2)/(x+1)^(5/2),x)","\frac{8 x^{4}-8 x^{3}-12 x^{2}+12 x +3}{15 \left(x +1\right)^{\frac{3}{2}} \left(-x +1\right)^{\frac{5}{2}}}"," ",0,"1/15*(8*x^4-8*x^3-12*x^2+12*x+3)/(x+1)^(3/2)/(-x+1)^(5/2)","A"
1135,1,40,59,0.002000," ","int(1/(-x+1)^(9/2)/(x+1)^(5/2),x)","-\frac{8 x^{5}-16 x^{4}-4 x^{3}+24 x^{2}-9 x -6}{21 \left(x +1\right)^{\frac{3}{2}} \left(-x +1\right)^{\frac{7}{2}}}"," ",0,"-1/21*(8*x^5-16*x^4-4*x^3+24*x^2-9*x-6)/(x+1)^(3/2)/(-x+1)^(7/2)","A"
1136,1,45,73,0.003000," ","int(1/(-x+1)^(11/2)/(x+1)^(5/2),x)","\frac{16 x^{6}-48 x^{5}+24 x^{4}+56 x^{3}-66 x^{2}+6 x +19}{63 \left(x +1\right)^{\frac{3}{2}} \left(-x +1\right)^{\frac{9}{2}}}"," ",0,"1/63*(16*x^6-48*x^5+24*x^4+56*x^3-66*x^2+6*x+19)/(x+1)^(3/2)/(-x+1)^(9/2)","A"
1137,1,193,94,0.011000," ","int((a*x+a)^(5/2)*(-c*x+c)^(5/2),x)","\frac{5 \sqrt{\left(-c x +c \right) \left(a x +a \right)}\, a^{3} c^{3} \arctan \left(\frac{\sqrt{a c}\, x}{\sqrt{-a c \,x^{2}+a c}}\right)}{16 \sqrt{-c x +c}\, \sqrt{a x +a}\, \sqrt{a c}}+\frac{5 \sqrt{-c x +c}\, \sqrt{a x +a}\, a^{2} c^{2}}{16}+\frac{5 \left(-c x +c \right)^{\frac{3}{2}} \sqrt{a x +a}\, a^{2} c}{48}+\frac{\left(-c x +c \right)^{\frac{5}{2}} \sqrt{a x +a}\, a^{2}}{24}-\frac{\sqrt{a x +a}\, \left(-c x +c \right)^{\frac{7}{2}} a^{2}}{8 c}-\frac{\left(a x +a \right)^{\frac{3}{2}} \left(-c x +c \right)^{\frac{7}{2}} a}{6 c}-\frac{\left(a x +a \right)^{\frac{5}{2}} \left(-c x +c \right)^{\frac{7}{2}}}{6 c}"," ",0,"-1/6/c*(a*x+a)^(5/2)*(-c*x+c)^(7/2)-1/6*a/c*(a*x+a)^(3/2)*(-c*x+c)^(7/2)-1/8*a^2/c*(a*x+a)^(1/2)*(-c*x+c)^(7/2)+1/24*a^2*(-c*x+c)^(5/2)*(a*x+a)^(1/2)+5/48*a^2*c*(-c*x+c)^(3/2)*(a*x+a)^(1/2)+5/16*a^2*c^2*(-c*x+c)^(1/2)*(a*x+a)^(1/2)+5/16*a^3*c^3*((-c*x+c)*(a*x+a))^(1/2)/(-c*x+c)^(1/2)/(a*x+a)^(1/2)/(a*c)^(1/2)*arctan((a*c)^(1/2)*x/(-a*c*x^2+a*c)^(1/2))","B"
1138,1,143,70,0.005000," ","int((a*x+a)^(3/2)*(-c*x+c)^(3/2),x)","\frac{3 \sqrt{\left(-c x +c \right) \left(a x +a \right)}\, a^{2} c^{2} \arctan \left(\frac{\sqrt{a c}\, x}{\sqrt{-a c \,x^{2}+a c}}\right)}{8 \sqrt{-c x +c}\, \sqrt{a x +a}\, \sqrt{a c}}+\frac{3 \sqrt{-c x +c}\, \sqrt{a x +a}\, a c}{8}+\frac{\sqrt{a x +a}\, \left(-c x +c \right)^{\frac{3}{2}} a}{8}-\frac{\sqrt{a x +a}\, \left(-c x +c \right)^{\frac{5}{2}} a}{4 c}-\frac{\left(a x +a \right)^{\frac{3}{2}} \left(-c x +c \right)^{\frac{5}{2}}}{4 c}"," ",0,"-1/4/c*(a*x+a)^(3/2)*(-c*x+c)^(5/2)-1/4*a/c*(a*x+a)^(1/2)*(-c*x+c)^(5/2)+1/8*(a*x+a)^(1/2)*(-c*x+c)^(3/2)*a+3/8*a*c*(-c*x+c)^(1/2)*(a*x+a)^(1/2)+3/8*a^2*c^2*((-c*x+c)*(a*x+a))^(1/2)/(-c*x+c)^(1/2)/(a*x+a)^(1/2)/(a*c)^(1/2)*arctan((a*c)^(1/2)/(-a*c*x^2+a*c)^(1/2)*x)","B"
1139,1,98,49,0.006000," ","int((a*x+a)^(1/2)*(-c*x+c)^(1/2),x)","\frac{\sqrt{\left(-c x +c \right) \left(a x +a \right)}\, a c \arctan \left(\frac{\sqrt{a c}\, x}{\sqrt{-a c \,x^{2}+a c}}\right)}{2 \sqrt{-c x +c}\, \sqrt{a x +a}\, \sqrt{a c}}-\frac{\sqrt{a x +a}\, \left(-c x +c \right)^{\frac{3}{2}}}{2 c}+\frac{\sqrt{a x +a}\, \sqrt{-c x +c}}{2}"," ",0,"-1/2/c*(a*x+a)^(1/2)*(-c*x+c)^(3/2)+1/2*(a*x+a)^(1/2)*(-c*x+c)^(1/2)+1/2*a*c*((-c*x+c)*(a*x+a))^(1/2)/(-c*x+c)^(1/2)/(a*x+a)^(1/2)/(a*c)^(1/2)*arctan((a*c)^(1/2)/(-a*c*x^2+a*c)^(1/2)*x)","A"
1140,1,57,31,0.005000," ","int(1/(a*x+a)^(1/2)/(-c*x+c)^(1/2),x)","\frac{\sqrt{\left(-c x +c \right) \left(a x +a \right)}\, \arctan \left(\frac{\sqrt{a c}\, x}{\sqrt{-a c \,x^{2}+a c}}\right)}{\sqrt{a x +a}\, \sqrt{-c x +c}\, \sqrt{a c}}"," ",0,"((-c*x+c)*(a*x+a))^(1/2)/(a*x+a)^(1/2)/(-c*x+c)^(1/2)/(a*c)^(1/2)*arctan((a*c)^(1/2)/(-a*c*x^2+a*c)^(1/2)*x)","A"
1141,1,25,23,0.003000," ","int(1/(a*x+a)^(3/2)/(-c*x+c)^(3/2),x)","-\frac{\left(x +1\right) \left(x -1\right) x}{\left(a x +a \right)^{\frac{3}{2}} \left(-c x +c \right)^{\frac{3}{2}}}"," ",0,"-(x+1)*(x-1)*x/(a*x+a)^(3/2)/(-c*x+c)^(3/2)","A"
1142,1,32,49,0.002000," ","int(1/(a*x+a)^(5/2)/(-c*x+c)^(5/2),x)","\frac{\left(x +1\right) \left(x -1\right) \left(2 x^{2}-3\right) x}{3 \left(a x +a \right)^{\frac{5}{2}} \left(-c x +c \right)^{\frac{5}{2}}}"," ",0,"1/3*(x+1)*(x-1)*x*(2*x^2-3)/(a*x+a)^(5/2)/(-c*x+c)^(5/2)","A"
1143,1,37,73,0.003000," ","int(1/(a*x+a)^(7/2)/(-c*x+c)^(7/2),x)","-\frac{\left(x +1\right) \left(x -1\right) \left(8 x^{4}-20 x^{2}+15\right) x}{15 \left(a x +a \right)^{\frac{7}{2}} \left(-c x +c \right)^{\frac{7}{2}}}"," ",0,"-1/15*(x+1)*(x-1)*x*(8*x^4-20*x^2+15)/(a*x+a)^(7/2)/(-c*x+c)^(7/2)","A"
1144,1,42,97,0.003000," ","int(1/(a*x+a)^(9/2)/(-c*x+c)^(9/2),x)","\frac{\left(x +1\right) \left(x -1\right) \left(16 x^{6}-56 x^{4}+70 x^{2}-35\right) x}{35 \left(a x +a \right)^{\frac{9}{2}} \left(-c x +c \right)^{\frac{9}{2}}}"," ",0,"1/35*(x+1)*(x-1)*x*(16*x^6-56*x^4+70*x^2-35)/(a*x+a)^(9/2)/(-c*x+c)^(9/2)","A"
1145,1,243,107,0.012000," ","int((b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2),x)","\frac{5 \sqrt{\left(b x +a \right) \left(-b c x +a c \right)}\, a^{6} c^{3} \arctan \left(\frac{\sqrt{b^{2} c}\, x}{\sqrt{-b^{2} c \,x^{2}+a^{2} c}}\right)}{16 \sqrt{-b c x +a c}\, \sqrt{b x +a}\, \sqrt{b^{2} c}}+\frac{5 \sqrt{-b c x +a c}\, \sqrt{b x +a}\, a^{5} c^{2}}{16 b}+\frac{5 \left(-b c x +a c \right)^{\frac{3}{2}} \sqrt{b x +a}\, a^{4} c}{48 b}+\frac{\left(-b c x +a c \right)^{\frac{5}{2}} \sqrt{b x +a}\, a^{3}}{24 b}-\frac{\sqrt{b x +a}\, \left(-b c x +a c \right)^{\frac{7}{2}} a^{2}}{8 b c}-\frac{\left(b x +a \right)^{\frac{3}{2}} \left(-b c x +a c \right)^{\frac{7}{2}} a}{6 b c}-\frac{\left(b x +a \right)^{\frac{5}{2}} \left(-b c x +a c \right)^{\frac{7}{2}}}{6 b c}"," ",0,"-1/6/b/c*(b*x+a)^(5/2)*(-b*c*x+a*c)^(7/2)-1/6*a/b/c*(b*x+a)^(3/2)*(-b*c*x+a*c)^(7/2)-1/8*a^2/b/c*(b*x+a)^(1/2)*(-b*c*x+a*c)^(7/2)+1/24*a^3/b*(-b*c*x+a*c)^(5/2)*(b*x+a)^(1/2)+5/48*a^4*c/b*(-b*c*x+a*c)^(3/2)*(b*x+a)^(1/2)+5/16*a^5*c^2/b*(-b*c*x+a*c)^(1/2)*(b*x+a)^(1/2)+5/16*a^6*c^3*((b*x+a)*(-b*c*x+a*c))^(1/2)/(-b*c*x+a*c)^(1/2)/(b*x+a)^(1/2)/(b^2*c)^(1/2)*arctan((b^2*c)^(1/2)*x/(-b^2*c*x^2+a^2*c)^(1/2))","B"
1146,1,185,80,0.006000," ","int((b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2),x)","\frac{3 \sqrt{\left(b x +a \right) \left(-b c x +a c \right)}\, a^{4} c^{2} \arctan \left(\frac{\sqrt{b^{2} c}\, x}{\sqrt{-b^{2} c \,x^{2}+a^{2} c}}\right)}{8 \sqrt{-b c x +a c}\, \sqrt{b x +a}\, \sqrt{b^{2} c}}+\frac{3 \sqrt{-b c x +a c}\, \sqrt{b x +a}\, a^{3} c}{8 b}+\frac{\left(-b c x +a c \right)^{\frac{3}{2}} \sqrt{b x +a}\, a^{2}}{8 b}-\frac{\sqrt{b x +a}\, \left(-b c x +a c \right)^{\frac{5}{2}} a}{4 b c}-\frac{\left(b x +a \right)^{\frac{3}{2}} \left(-b c x +a c \right)^{\frac{5}{2}}}{4 b c}"," ",0,"-1/4/b/c*(b*x+a)^(3/2)*(-b*c*x+a*c)^(5/2)-1/4*a/b/c*(b*x+a)^(1/2)*(-b*c*x+a*c)^(5/2)+1/8*a^2/b*(-b*c*x+a*c)^(3/2)*(b*x+a)^(1/2)+3/8*a^3*c/b*(-b*c*x+a*c)^(1/2)*(b*x+a)^(1/2)+3/8*a^4*c^2*((b*x+a)*(-b*c*x+a*c))^(1/2)/(-b*c*x+a*c)^(1/2)/(b*x+a)^(1/2)/(b^2*c)^(1/2)*arctan((b^2*c)^(1/2)/(-b^2*c*x^2+a^2*c)^(1/2)*x)","B"
1147,1,127,54,0.006000," ","int((b*x+a)^(1/2)*(-b*c*x+a*c)^(1/2),x)","\frac{\sqrt{\left(b x +a \right) \left(-b c x +a c \right)}\, a^{2} c \arctan \left(\frac{\sqrt{b^{2} c}\, x}{\sqrt{-b^{2} c \,x^{2}+a^{2} c}}\right)}{2 \sqrt{-b c x +a c}\, \sqrt{b x +a}\, \sqrt{b^{2} c}}+\frac{\sqrt{-b c x +a c}\, \sqrt{b x +a}\, a}{2 b}-\frac{\sqrt{b x +a}\, \left(-b c x +a c \right)^{\frac{3}{2}}}{2 b c}"," ",0,"-1/2/b/c*(b*x+a)^(1/2)*(-b*c*x+a*c)^(3/2)+1/2*a/b*(-b*c*x+a*c)^(1/2)*(b*x+a)^(1/2)+1/2*a^2*c*((b*x+a)*(-b*c*x+a*c))^(1/2)/(-b*c*x+a*c)^(1/2)/(b*x+a)^(1/2)/(b^2*c)^(1/2)*arctan((b^2*c)^(1/2)/(-b^2*c*x^2+a^2*c)^(1/2)*x)","B"
1148,1,71,30,0.005000," ","int(1/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2),x)","\frac{\sqrt{\left(b x +a \right) \left(-b c x +a c \right)}\, \arctan \left(\frac{\sqrt{b^{2} c}\, x}{\sqrt{-b^{2} c \,x^{2}+a^{2} c}}\right)}{\sqrt{b x +a}\, \sqrt{-b c x +a c}\, \sqrt{b^{2} c}}"," ",0,"((b*x+a)*(-b*c*x+a*c))^(1/2)/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2)/(b^2*c)^(1/2)*arctan((b^2*c)^(1/2)/(-b^2*c*x^2+a^2*c)^(1/2)*x)","B"
1149,1,30,26,0.003000," ","int(1/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),x)","\frac{\left(-b x +a \right) x}{\sqrt{b x +a}\, \left(-b c x +a c \right)^{\frac{3}{2}} a^{2}}"," ",0,"1/(b*x+a)^(1/2)*(-b*x+a)/a^2*x/(-b*c*x+a*c)^(3/2)","A"
1150,1,45,55,0.003000," ","int(1/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x)","\frac{\left(-b x +a \right) \left(-2 b^{2} x^{2}+3 a^{2}\right) x}{3 \left(b x +a \right)^{\frac{3}{2}} \left(-b c x +a c \right)^{\frac{5}{2}} a^{4}}"," ",0,"1/3*(-b*x+a)*x*(-2*b^2*x^2+3*a^2)/(b*x+a)^(3/2)/a^4/(-b*c*x+a*c)^(5/2)","A"
1151,1,56,82,0.004000," ","int(1/(b*x+a)^(7/2)/(-b*c*x+a*c)^(7/2),x)","\frac{\left(-b x +a \right) \left(8 b^{4} x^{4}-20 a^{2} b^{2} x^{2}+15 a^{4}\right) x}{15 \left(b x +a \right)^{\frac{5}{2}} \left(-b c x +a c \right)^{\frac{7}{2}} a^{6}}"," ",0,"1/15*(-b*x+a)*x*(8*b^4*x^4-20*a^2*b^2*x^2+15*a^4)/(b*x+a)^(5/2)/a^6/(-b*c*x+a*c)^(7/2)","A"
1152,1,67,109,0.003000," ","int(1/(b*x+a)^(9/2)/(-b*c*x+a*c)^(9/2),x)","\frac{\left(-b x +a \right) \left(-16 b^{6} x^{6}+56 b^{4} x^{4} a^{2}-70 b^{2} x^{2} a^{4}+35 a^{6}\right) x}{35 \left(b x +a \right)^{\frac{7}{2}} \left(-b c x +a c \right)^{\frac{9}{2}} a^{8}}"," ",0,"1/35*(-b*x+a)*x*(-16*b^6*x^6+56*a^2*b^4*x^4-70*a^4*b^2*x^2+35*a^6)/(b*x+a)^(7/2)/a^8/(-b*c*x+a*c)^(9/2)","A"
1153,1,134,70,0.009000," ","int((3-6*x)^(5/2)*(2+4*x)^(5/2),x)","\frac{45 \sqrt{\left(4 x +2\right) \left(-6 x +3\right)}\, \sqrt{6}\, \arcsin \left(2 x \right)}{8 \sqrt{4 x +2}\, \sqrt{-6 x +3}}+\frac{\left(-6 x +3\right)^{\frac{5}{2}} \left(4 x +2\right)^{\frac{7}{2}}}{24}+\frac{\left(-6 x +3\right)^{\frac{3}{2}} \left(4 x +2\right)^{\frac{7}{2}}}{8}+\frac{9 \sqrt{-6 x +3}\, \left(4 x +2\right)^{\frac{7}{2}}}{32}-\frac{3 \left(4 x +2\right)^{\frac{5}{2}} \sqrt{-6 x +3}}{16}-\frac{15 \left(4 x +2\right)^{\frac{3}{2}} \sqrt{-6 x +3}}{16}-\frac{45 \sqrt{-6 x +3}\, \sqrt{4 x +2}}{8}"," ",0,"1/24*(3-6*x)^(5/2)*(2+4*x)^(7/2)+1/8*(3-6*x)^(3/2)*(2+4*x)^(7/2)+9/32*(3-6*x)^(1/2)*(2+4*x)^(7/2)-3/16*(2+4*x)^(5/2)*(3-6*x)^(1/2)-15/16*(2+4*x)^(3/2)*(3-6*x)^(1/2)-45/8*(3-6*x)^(1/2)*(2+4*x)^(1/2)+45/8*((2+4*x)*(3-6*x))^(1/2)/(2+4*x)^(1/2)/(3-6*x)^(1/2)*6^(1/2)*arcsin(2*x)","A"
1154,1,102,50,0.005000," ","int((-6*x+3)^(3/2)*(4*x+2)^(3/2),x)","\frac{9 \sqrt{\left(4 x +2\right) \left(-6 x +3\right)}\, \sqrt{6}\, \arcsin \left(2 x \right)}{8 \sqrt{4 x +2}\, \sqrt{-6 x +3}}+\frac{\left(-6 x +3\right)^{\frac{3}{2}} \left(4 x +2\right)^{\frac{5}{2}}}{16}+\frac{3 \left(4 x +2\right)^{\frac{5}{2}} \sqrt{-6 x +3}}{16}-\frac{3 \left(4 x +2\right)^{\frac{3}{2}} \sqrt{-6 x +3}}{16}-\frac{9 \sqrt{-6 x +3}\, \sqrt{4 x +2}}{8}"," ",0,"1/16*(-6*x+3)^(3/2)*(4*x+2)^(5/2)+3/16*(4*x+2)^(5/2)*(-6*x+3)^(1/2)-3/16*(4*x+2)^(3/2)*(-6*x+3)^(1/2)-9/8*(-6*x+3)^(1/2)*(4*x+2)^(1/2)+9/8*((4*x+2)*(-6*x+3))^(1/2)/(4*x+2)^(1/2)/(-6*x+3)^(1/2)*6^(1/2)*arcsin(2*x)","B"
1155,1,70,30,0.004000," ","int((-6*x+3)^(1/2)*(4*x+2)^(1/2),x)","\frac{\sqrt{\left(4 x +2\right) \left(-6 x +3\right)}\, \sqrt{6}\, \arcsin \left(2 x \right)}{4 \sqrt{4 x +2}\, \sqrt{-6 x +3}}-\frac{\sqrt{4 x +2}\, \left(-6 x +3\right)^{\frac{3}{2}}}{12}+\frac{\sqrt{-6 x +3}\, \sqrt{4 x +2}}{4}"," ",0,"-1/12*(4*x+2)^(1/2)*(-6*x+3)^(3/2)+1/4*(-6*x+3)^(1/2)*(4*x+2)^(1/2)+1/4*((4*x+2)*(-6*x+3))^(1/2)/(4*x+2)^(1/2)/(-6*x+3)^(1/2)*6^(1/2)*arcsin(2*x)","B"
1156,1,37,9,0.003000," ","int(1/(-6*x+3)^(1/2)/(4*x+2)^(1/2),x)","\frac{\sqrt{\left(4 x +2\right) \left(-6 x +3\right)}\, \sqrt{6}\, \arcsin \left(2 x \right)}{12 \sqrt{4 x +2}\, \sqrt{-6 x +3}}"," ",0,"1/12*((4*x+2)*(-6*x+3))^(1/2)/(4*x+2)^(1/2)/(-6*x+3)^(1/2)*6^(1/2)*arcsin(2*x)","B"
1157,1,28,20,0.004000," ","int(1/(-6*x+3)^(3/2)/(4*x+2)^(3/2),x)","-\frac{\left(2 x -1\right) \left(2 x +1\right) x}{\left(-6 x +3\right)^{\frac{3}{2}} \left(4 x +2\right)^{\frac{3}{2}}}"," ",0,"-(2*x-1)*(1+2*x)*x/(-6*x+3)^(3/2)/(4*x+2)^(3/2)","A"
1158,1,35,41,0.003000," ","int(1/(-6*x+3)^(5/2)/(4*x+2)^(5/2),x)","\frac{\left(2 x -1\right) \left(2 x +1\right) \left(8 x^{2}-3\right) x}{3 \left(-6 x +3\right)^{\frac{5}{2}} \left(4 x +2\right)^{\frac{5}{2}}}"," ",0,"1/3*(2*x-1)*(2*x+1)*x*(8*x^2-3)/(-6*x+3)^(5/2)/(4*x+2)^(5/2)","A"
1159,1,40,61,0.003000," ","int(1/(-6*x+3)^(7/2)/(4*x+2)^(7/2),x)","-\frac{\left(2 x -1\right) \left(2 x +1\right) \left(128 x^{4}-80 x^{2}+15\right) x}{15 \left(-6 x +3\right)^{\frac{7}{2}} \left(4 x +2\right)^{\frac{7}{2}}}"," ",0,"-1/15*(2*x-1)*(2*x+1)*x*(128*x^4-80*x^2+15)/(-6*x+3)^(7/2)/(4*x+2)^(7/2)","A"
1160,1,89,65,0.009000," ","int((3-x)^(3/2)*(x-2)^(3/2),x)","\frac{3 \sqrt{\left(x -2\right) \left(-x +3\right)}\, \arcsin \left(2 x -5\right)}{128 \sqrt{x -2}\, \sqrt{-x +3}}+\frac{\left(-x +3\right)^{\frac{3}{2}} \left(x -2\right)^{\frac{5}{2}}}{4}+\frac{\sqrt{-x +3}\, \left(x -2\right)^{\frac{5}{2}}}{8}-\frac{\sqrt{-x +3}\, \left(x -2\right)^{\frac{3}{2}}}{32}-\frac{3 \sqrt{-x +3}\, \sqrt{x -2}}{64}"," ",0,"1/4*(3-x)^(3/2)*(x-2)^(5/2)+1/8*(3-x)^(1/2)*(x-2)^(5/2)-1/32*(3-x)^(1/2)*(x-2)^(3/2)-3/64*(3-x)^(1/2)*(x-2)^(1/2)+3/128*((x-2)*(3-x))^(1/2)/(x-2)^(1/2)/(3-x)^(1/2)*arcsin(-5+2*x)","A"
1161,1,61,37,0.006000," ","int((-x+3)^(1/2)*(x-2)^(1/2),x)","\frac{\sqrt{\left(x -2\right) \left(-x +3\right)}\, \arcsin \left(2 x -5\right)}{8 \sqrt{x -2}\, \sqrt{-x +3}}-\frac{\left(-x +3\right)^{\frac{3}{2}} \sqrt{x -2}}{2}+\frac{\sqrt{-x +3}\, \sqrt{x -2}}{4}"," ",0,"-1/2*(-x+3)^(3/2)*(x-2)^(1/2)+1/4*(-x+3)^(1/2)*(x-2)^(1/2)+1/8*((x-2)*(-x+3))^(1/2)/(x-2)^(1/2)/(-x+3)^(1/2)*arcsin(2*x-5)","A"
1162,1,31,6,0.004000," ","int(1/(-x+3)^(1/2)/(x-2)^(1/2),x)","\frac{\sqrt{\left(x -2\right) \left(-x +3\right)}\, \arcsin \left(2 x -5\right)}{\sqrt{x -2}\, \sqrt{-x +3}}"," ",0,"((x-2)*(-x+3))^(1/2)/(x-2)^(1/2)/(-x+3)^(1/2)*arcsin(2*x-5)","B"
1163,1,20,29,0.004000," ","int(1/(-x+3)^(3/2)/(x-2)^(3/2),x)","\frac{-10+4 x}{\sqrt{-x +3}\, \sqrt{x -2}}"," ",0,"2*(2*x-5)/(x-2)^(1/2)/(-x+3)^(1/2)","A"
1164,1,30,57,0.004000," ","int(1/(-x+3)^(5/2)/(x-2)^(5/2),x)","-\frac{2 \left(16 x^{3}-120 x^{2}+294 x -235\right)}{3 \left(x -2\right)^{\frac{3}{2}} \left(-x +3\right)^{\frac{3}{2}}}"," ",0,"-2/3*(16*x^3-120*x^2+294*x-235)/(x-2)^(3/2)/(-x+3)^(3/2)","A"
1165,1,16,15,0.003000," ","int(1/(-x+3)^(3/2)/(3+x)^(3/2),x)","\frac{x}{9 \sqrt{-x +3}\, \sqrt{x +3}}"," ",0,"1/9*x/(-x+3)^(1/2)/(3+x)^(1/2)","A"
1166,1,19,18,0.003000," ","int(1/(-b*x+3)^(3/2)/(b*x+3)^(3/2),x)","\frac{x}{9 \sqrt{-b x +3}\, \sqrt{b x +3}}"," ",0,"1/9*x/(-b*x+3)^(1/2)/(b*x+3)^(1/2)","A"
1167,1,19,18,0.002000," ","int(1/(6-2*x)^(3/2)/(x+3)^(3/2),x)","-\frac{\left(x -3\right) x}{9 \sqrt{x +3}\, \left(-2 x +6\right)^{\frac{3}{2}}}"," ",0,"-1/9*(-3+x)/(x+3)^(1/2)*x/(6-2*x)^(3/2)","A"
1168,1,24,21,0.003000," ","int(1/(-2*b*x+6)^(3/2)/(b*x+3)^(3/2),x)","-\frac{\left(b x -3\right) x}{9 \sqrt{b x +3}\, \left(-2 b x +6\right)^{\frac{3}{2}}}"," ",0,"-1/9*(b*x-3)/(b*x+3)^(1/2)*x/(-2*b*x+6)^(3/2)","A"
1169,1,76,31,0.010000," ","int(1/(b*x+a)^(1/2)/(b*d*x-a*d)^(1/2),x)","\frac{\sqrt{\left(b x +a \right) \left(b d x -a d \right)}\, \ln \left(\frac{b^{2} d x}{\sqrt{b^{2} d}}+\sqrt{b^{2} d \,x^{2}-a^{2} d}\right)}{\sqrt{b x +a}\, \sqrt{b d x -a d}\, \sqrt{b^{2} d}}"," ",0,"((b*x+a)*(b*d*x-a*d))^(1/2)/(b*x+a)^(1/2)/(b*d*x-a*d)^(1/2)*ln(b^2*d*x/(b^2*d)^(1/2)+(b^2*d*x^2-a^2*d)^(1/2))/(b^2*d)^(1/2)","B"
1170,0,0,176,0.072000," ","int(1/(-3*e*x+6)^(1/4)/(e*x+2)^(3/4),x)","\int \frac{1}{\left(-3 e x +6\right)^{\frac{1}{4}} \left(e x +2\right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(-3*e*x+6)^(1/4)/(e*x+2)^(3/4),x)","F"
1171,1,104,125,0.099000," ","int((a-I*a*x)^(7/4)/(a+I*a*x)^(1/4),x)","\frac{7 \left(-\left(i x -1\right) \left(i x +1\right) a^{2}\right)^{\frac{1}{4}} a^{2} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -x^{2}\right)}{5 \left(a^{2}\right)^{\frac{1}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}}}-\frac{2 \left(3 x +10 i\right) \left(x -i\right) \left(x +i\right) a^{2}}{15 \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}}}"," ",0,"-2/15*(10*I+3*x)*(x-I)*(x+I)*a^2/(-a*(-1+I*x))^(1/4)/(a*(I*x+1))^(1/4)+7/5/(a^2)^(1/4)*x*hypergeom([1/4,1/2],[3/2],-x^2)*a^2*(-a^2*(-1+I*x)*(I*x+1))^(1/4)/(-a*(-1+I*x))^(1/4)/(a*(I*x+1))^(1/4)","C"
1172,1,94,100,0.066000," ","int((a-I*a*x)^(3/4)/(a+I*a*x)^(1/4),x)","\frac{\left(-\left(i x -1\right) \left(i x +1\right) a^{2}\right)^{\frac{1}{4}} a x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -x^{2}\right)}{\left(a^{2}\right)^{\frac{1}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}}}-\frac{2 i \left(x -i\right) \left(x +i\right) a}{3 \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}}}"," ",0,"-2/3*I*(x-I)*(x+I)*a/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)+1/(a^2)^(1/4)*x*hypergeom([1/4,1/2],[3/2],-x^2)*a*(-(I*x-1)*(I*x+1)*a^2)^(1/4)/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)","C"
1173,0,0,74,0.080000," ","int(1/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),x)","\int \frac{1}{\left(-i a x +a \right)^{\frac{1}{4}} \left(i a x +a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),x)","F"
1174,1,94,80,0.068000," ","int(1/(-I*a*x+a)^(5/4)/(I*a*x+a)^(1/4),x)","-\frac{\left(-\left(i x -1\right) \left(i x +1\right) a^{2}\right)^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -x^{2}\right)}{\left(a^{2}\right)^{\frac{1}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a}+\frac{2 x -2 i}{\left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a}"," ",0,"2*(x-I)/a/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)-1/(a^2)^(1/4)*x*hypergeom([1/4,1/2],[3/2],-x^2)/a*(-(I*x-1)*(I*x+1)*a^2)^(1/4)/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)","C"
1175,1,105,80,0.081000," ","int(1/(-I*a*x+a)^(9/4)/(I*a*x+a)^(1/4),x)","-\frac{\left(-\left(i x -1\right) \left(i x +1\right) a^{2}\right)^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -x^{2}\right)}{5 \left(a^{2}\right)^{\frac{1}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a^{2}}+\frac{\frac{2}{5} x^{2}+\frac{2}{5} i x +\frac{4}{5}}{\left(x +i\right) \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a^{2}}"," ",0,"2/5*(x^2+2+I*x)/(x+I)/a^2/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)-1/5/(a^2)^(1/4)*x*hypergeom([1/4,1/2],[3/2],-x^2)/a^2*(-(I*x-1)*(I*x+1)*a^2)^(1/4)/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)","C"
1176,1,113,104,0.079000," ","int(1/(-I*a*x+a)^(13/4)/(I*a*x+a)^(1/4),x)","-\frac{\left(-\left(i x -1\right) \left(i x +1\right) a^{2}\right)^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -x^{2}\right)}{15 \left(a^{2}\right)^{\frac{1}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a^{3}}+\frac{\frac{2}{15} x^{3}+\frac{4}{15} i x^{2}-\frac{4}{45} x +\frac{22}{45} i}{\left(x +i\right)^{2} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a^{3}}"," ",0,"2/45*(6*I*x^2+3*x^3-2*x+11*I)/(x+I)^2/a^3/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)-1/15/(a^2)^(1/4)*x*hypergeom([1/4,1/2],[3/2],-x^2)/a^3*(-(I*x-1)*(I*x+1)*a^2)^(1/4)/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)","C"
1177,1,114,128,0.078000," ","int(1/(-I*a*x+a)^(17/4)/(I*a*x+a)^(1/4),x)","-\frac{\left(-\left(i x -1\right) \left(i x +1\right) a^{2}\right)^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -x^{2}\right)}{39 \left(a^{2}\right)^{\frac{1}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a^{4}}+\frac{\frac{2}{39} x^{4}+\frac{2}{13} i x^{3}-\frac{16}{117} x^{2}-\frac{40}{117}}{\left(x +i\right)^{3} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a^{4}}"," ",0,"2/117*(9*I*x^3+3*x^4-20-8*x^2)/(x+I)^3/a^4/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)-1/39/(a^2)^(1/4)*x*hypergeom([1/4,1/2],[3/2],-x^2)/a^4*(-(I*x-1)*(I*x+1)*a^2)^(1/4)/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)","C"
1178,1,477,189,2.284000," ","int((-I*a*x+a)^(1/4)/(I*a*x+a)^(1/4),x)","\frac{i \left(x -i\right) \left(x +i\right) \left(-\left(i x -1\right) a \right)^{\frac{1}{4}}}{\left(i x -1\right) \left(\left(i x +1\right) a \right)^{\frac{1}{4}}}-\frac{\left(-\frac{\RootOf \left(\textit{\_Z}^{2}-i\right) \ln \left(\frac{-x^{3}+\left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{1}{4}} x^{2} \RootOf \left(\textit{\_Z}^{2}-i\right)-2 i x^{2}+2 i \left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{1}{4}} x \RootOf \left(\textit{\_Z}^{2}-i\right)-i \sqrt{-x^{4}-2 i x^{3}-2 i x +1}\, x +x +i \left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{3}{4}} \RootOf \left(\textit{\_Z}^{2}-i\right)-\left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{1}{4}} \RootOf \left(\textit{\_Z}^{2}-i\right)+\sqrt{-x^{4}-2 i x^{3}-2 i x +1}}{\left(i x -1\right)^{2}}\right)}{2}-\frac{i \RootOf \left(\textit{\_Z}^{2}-i\right) \ln \left(\frac{-x^{3}+i \left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{1}{4}} x^{2} \RootOf \left(\textit{\_Z}^{2}-i\right)-2 i x^{2}-2 \left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{1}{4}} x \RootOf \left(\textit{\_Z}^{2}-i\right)+i \sqrt{-x^{4}-2 i x^{3}-2 i x +1}\, x +x +\left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{3}{4}} \RootOf \left(\textit{\_Z}^{2}-i\right)-i \left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{1}{4}} \RootOf \left(\textit{\_Z}^{2}-i\right)-\sqrt{-x^{4}-2 i x^{3}-2 i x +1}}{\left(i x -1\right)^{2}}\right)}{2}\right) \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(-\left(i x -1\right)^{3} \left(i x +1\right)\right)^{\frac{1}{4}}}{\left(i x -1\right) \left(\left(i x +1\right) a \right)^{\frac{1}{4}}}"," ",0,"I*(x-I)*(x+I)*(-(I*x-1)*a)^(1/4)/(I*x-1)/((I*x+1)*a)^(1/4)-(-1/2*RootOf(_Z^2-I)*ln((RootOf(_Z^2-I)*(1-2*I*x-2*I*x^3-x^4)^(1/4)*x^2+I*RootOf(_Z^2-I)*(1-2*I*x-2*I*x^3-x^4)^(3/4)-x^3+2*I*RootOf(_Z^2-I)*(1-2*I*x-2*I*x^3-x^4)^(1/4)*x-I*(1-2*I*x-2*I*x^3-x^4)^(1/2)*x-2*I*x^2-RootOf(_Z^2-I)*(1-2*I*x-2*I*x^3-x^4)^(1/4)+(1-2*I*x-2*I*x^3-x^4)^(1/2)+x)/(I*x-1)^2)-1/2*I*RootOf(_Z^2-I)*ln((I*RootOf(_Z^2-I)*(1-2*I*x-2*I*x^3-x^4)^(1/4)*x^2-2*RootOf(_Z^2-I)*(1-2*I*x-2*I*x^3-x^4)^(1/4)*x-x^3+RootOf(_Z^2-I)*(1-2*I*x-2*I*x^3-x^4)^(3/4)+I*(1-2*I*x-2*I*x^3-x^4)^(1/2)*x-I*RootOf(_Z^2-I)*(1-2*I*x-2*I*x^3-x^4)^(1/4)-2*I*x^2-(1-2*I*x-2*I*x^3-x^4)^(1/2)+x)/(I*x-1)^2))*(-(I*x-1)*a)^(1/4)/(I*x-1)*(-(I*x-1)^3*(I*x+1))^(1/4)/((I*x+1)*a)^(1/4)","C"
1179,0,0,177,0.076000," ","int(1/(-I*a*x+a)^(3/4)/(I*a*x+a)^(1/4),x)","\int \frac{1}{\left(-i a x +a \right)^{\frac{3}{4}} \left(i a x +a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(-I*a*x+a)^(3/4)/(I*a*x+a)^(1/4),x)","F"
1180,1,31,24,0.046000," ","int(1/(-I*a*x+a)^(7/4)/(I*a*x+a)^(1/4),x)","\frac{\frac{2 x}{3}-\frac{2 i}{3}}{\left(-\left(i x -1\right) a \right)^{\frac{3}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a}"," ",0,"2/3/a/(-(I*x-1)*a)^(3/4)/((I*x+1)*a)^(1/4)*(x-I)","A"
1181,1,44,49,0.048000," ","int(1/(-I*a*x+a)^(11/4)/(I*a*x+a)^(1/4),x)","\frac{\frac{4}{21} x^{2}+\frac{2}{7} i x +\frac{10}{21}}{\left(-\left(i x -1\right) a \right)^{\frac{3}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} \left(x +i\right) a^{2}}"," ",0,"2/21/a^2/(-(I*x-1)*a)^(3/4)/((I*x+1)*a)^(1/4)*(2*x^2+5+3*I*x)/(x+I)","A"
1182,1,50,73,0.054000," ","int(1/(-I*a*x+a)^(15/4)/(I*a*x+a)^(1/4),x)","\frac{\frac{16}{231} x^{3}+\frac{40}{231} i x^{2}-\frac{26}{231} x +\frac{82}{231} i}{\left(-\left(i x -1\right) a \right)^{\frac{3}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} \left(x +i\right)^{2} a^{3}}"," ",0,"2/231/a^3/(-(I*x-1)*a)^(3/4)/((I*x+1)*a)^(1/4)*(20*I*x^2+8*x^3-13*x+41*I)/(x+I)^2","A"
1183,1,55,97,0.062000," ","int(1/(-I*a*x+a)^(19/4)/(I*a*x+a)^(1/4),x)","\frac{\frac{32}{1155} x^{4}+\frac{16}{165} i x^{3}-\frac{4}{35} x^{2}-\frac{2}{55} i x -\frac{106}{385}}{\left(-\left(i x -1\right) a \right)^{\frac{3}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} \left(x +i\right)^{3} a^{4}}"," ",0,"2/1155/a^4/(-(I*x-1)*a)^(3/4)/((I*x+1)*a)^(1/4)*(56*I*x^3+16*x^4-21*I*x-159-66*x^2)/(x+I)^3","A"
1184,1,464,189,2.142000," ","int((-I*a*x+a)^(3/4)/(I*a*x+a)^(3/4),x)","-\frac{i \left(x -i\right) \left(x +i\right) a}{\left(\left(i x +1\right) a \right)^{\frac{3}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}}}+\frac{\left(-\frac{3 \RootOf \left(\textit{\_Z}^{2}+i\right) \ln \left(-\frac{x^{3}-\left(-x^{4}+2 i x^{3}+2 i x +1\right)^{\frac{1}{4}} x^{2} \RootOf \left(\textit{\_Z}^{2}+i\right)-2 i x^{2}+2 i \left(-x^{4}+2 i x^{3}+2 i x +1\right)^{\frac{1}{4}} x \RootOf \left(\textit{\_Z}^{2}+i\right)-i \sqrt{-x^{4}+2 i x^{3}+2 i x +1}\, x -x +i \left(-x^{4}+2 i x^{3}+2 i x +1\right)^{\frac{3}{4}} \RootOf \left(\textit{\_Z}^{2}+i\right)+\left(-x^{4}+2 i x^{3}+2 i x +1\right)^{\frac{1}{4}} \RootOf \left(\textit{\_Z}^{2}+i\right)-\sqrt{-x^{4}+2 i x^{3}+2 i x +1}}{\left(i x +1\right)^{2}}\right)}{2}-\frac{3 i \RootOf \left(\textit{\_Z}^{2}+i\right) \ln \left(-\frac{x^{3}-i \left(-x^{4}+2 i x^{3}+2 i x +1\right)^{\frac{1}{4}} x^{2} \RootOf \left(\textit{\_Z}^{2}+i\right)-2 i x^{2}-2 \left(-x^{4}+2 i x^{3}+2 i x +1\right)^{\frac{1}{4}} x \RootOf \left(\textit{\_Z}^{2}+i\right)+i \sqrt{-x^{4}+2 i x^{3}+2 i x +1}\, x -x +\left(-x^{4}+2 i x^{3}+2 i x +1\right)^{\frac{3}{4}} \RootOf \left(\textit{\_Z}^{2}+i\right)+i \left(-x^{4}+2 i x^{3}+2 i x +1\right)^{\frac{1}{4}} \RootOf \left(\textit{\_Z}^{2}+i\right)+\sqrt{-x^{4}+2 i x^{3}+2 i x +1}}{\left(i x +1\right)^{2}}\right)}{2}\right) \left(-\left(i x -1\right) \left(i x +1\right)^{3}\right)^{\frac{1}{4}} a}{\left(\left(i x +1\right) a \right)^{\frac{3}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}}}"," ",0,"-I*(x-I)*(x+I)/((I*x+1)*a)^(3/4)/(-(I*x-1)*a)^(1/4)*a+(-3/2*RootOf(_Z^2+I)*ln(-(-RootOf(_Z^2+I)*(1+2*I*x+2*I*x^3-x^4)^(1/4)*x^2+x^3+I*RootOf(_Z^2+I)*(1+2*I*x+2*I*x^3-x^4)^(3/4)+2*I*RootOf(_Z^2+I)*(1+2*I*x+2*I*x^3-x^4)^(1/4)*x-I*(1+2*I*x+2*I*x^3-x^4)^(1/2)*x-2*I*x^2+(1+2*I*x+2*I*x^3-x^4)^(1/4)*RootOf(_Z^2+I)-(1+2*I*x+2*I*x^3-x^4)^(1/2)-x)/(I*x+1)^2)-3/2*I*RootOf(_Z^2+I)*ln(-(-I*(1+2*I*x+2*I*x^3-x^4)^(1/4)*RootOf(_Z^2+I)*x^2-2*RootOf(_Z^2+I)*(1+2*I*x+2*I*x^3-x^4)^(1/4)*x+x^3+I*(1+2*I*x+2*I*x^3-x^4)^(1/2)*x+RootOf(_Z^2+I)*(1+2*I*x+2*I*x^3-x^4)^(3/4)+I*RootOf(_Z^2+I)*(1+2*I*x+2*I*x^3-x^4)^(1/4)-2*I*x^2+(1+2*I*x+2*I*x^3-x^4)^(1/2)-x)/(I*x+1)^2))/((I*x+1)*a)^(3/4)*(-(I*x-1)*(I*x+1)^3)^(1/4)/(-(I*x-1)*a)^(1/4)*a","C"
1185,0,0,177,0.060000," ","int(1/(-I*a*x+a)^(1/4)/(I*a*x+a)^(3/4),x)","\int \frac{1}{\left(-i a x +a \right)^{\frac{1}{4}} \left(i a x +a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(-I*a*x+a)^(1/4)/(I*a*x+a)^(3/4),x)","F"
1186,1,31,24,0.042000," ","int(1/(-I*a*x+a)^(5/4)/(I*a*x+a)^(3/4),x)","\frac{2 x -2 i}{\left(\left(i x +1\right) a \right)^{\frac{3}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} a}"," ",0,"2/a/((I*x+1)*a)^(3/4)/(-(I*x-1)*a)^(1/4)*(x-I)","A"
1187,1,44,49,0.053000," ","int(1/(-I*a*x+a)^(9/4)/(I*a*x+a)^(3/4),x)","\frac{\frac{4}{5} x^{2}+\frac{2}{5} i x +\frac{6}{5}}{\left(\left(i x +1\right) a \right)^{\frac{3}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(x +i\right) a^{2}}"," ",0,"2/5/a^2/((I*x+1)*a)^(3/4)/(-(I*x-1)*a)^(1/4)*(2*x^2+3+I*x)/(x+I)","A"
1188,1,50,73,0.056000," ","int(1/(-I*a*x+a)^(13/4)/(I*a*x+a)^(3/4),x)","\frac{\frac{16}{45} x^{3}+\frac{8}{15} i x^{2}+\frac{2}{15} x +\frac{34}{45} i}{\left(\left(i x +1\right) a \right)^{\frac{3}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(x +i\right)^{2} a^{3}}"," ",0,"2/45/a^3/((I*x+1)*a)^(3/4)/(-(I*x-1)*a)^(1/4)*(12*I*x^2+8*x^3+3*x+17*I)/(x+I)^2","A"
1189,0,0,101,0.104000," ","int((-I*a*x+a)^(5/4)/(I*a*x+a)^(3/4),x)","\int \frac{\left(-i a x +a \right)^{\frac{5}{4}}}{\left(i a x +a \right)^{\frac{3}{4}}}\, dx"," ",0,"int((-I*a*x+a)^(5/4)/(I*a*x+a)^(3/4),x)","F"
1190,0,0,78,0.065000," ","int((-I*a*x+a)^(1/4)/(I*a*x+a)^(3/4),x)","\int \frac{\left(-i a x +a \right)^{\frac{1}{4}}}{\left(i a x +a \right)^{\frac{3}{4}}}\, dx"," ",0,"int((-I*a*x+a)^(1/4)/(I*a*x+a)^(3/4),x)","F"
1191,0,0,52,0.062000," ","int(1/(-I*a*x+a)^(3/4)/(I*a*x+a)^(3/4),x)","\int \frac{1}{\left(-i a x +a \right)^{\frac{3}{4}} \left(i a x +a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(-I*a*x+a)^(3/4)/(I*a*x+a)^(3/4),x)","F"
1192,0,0,80,0.074000," ","int(1/(-I*a*x+a)^(7/4)/(I*a*x+a)^(3/4),x)","\int \frac{1}{\left(-i a x +a \right)^{\frac{7}{4}} \left(i a x +a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(-I*a*x+a)^(7/4)/(I*a*x+a)^(3/4),x)","F"
1193,0,0,104,0.085000," ","int(1/(-I*a*x+a)^(11/4)/(I*a*x+a)^(3/4),x)","\int \frac{1}{\left(-i a x +a \right)^{\frac{11}{4}} \left(i a x +a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(-I*a*x+a)^(11/4)/(I*a*x+a)^(3/4),x)","F"
1194,1,469,213,2.013000," ","int((-I*a*x+a)^(7/4)/(I*a*x+a)^(7/4),x)","\frac{i \left(3 x^{2}-8 i x +11\right) a}{3 \left(\left(i x +1\right) a \right)^{\frac{3}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}}}+\frac{\left(-\frac{7 \RootOf \left(\textit{\_Z}^{2}-i\right) \ln \left(\frac{-x^{3}-\left(-x^{4}+2 i x^{3}+2 i x +1\right)^{\frac{1}{4}} x^{2} \RootOf \left(\textit{\_Z}^{2}-i\right)+2 i x^{2}+2 i \left(-x^{4}+2 i x^{3}+2 i x +1\right)^{\frac{1}{4}} x \RootOf \left(\textit{\_Z}^{2}-i\right)-i \sqrt{-x^{4}+2 i x^{3}+2 i x +1}\, x +x -i \left(-x^{4}+2 i x^{3}+2 i x +1\right)^{\frac{3}{4}} \RootOf \left(\textit{\_Z}^{2}-i\right)+\left(-x^{4}+2 i x^{3}+2 i x +1\right)^{\frac{1}{4}} \RootOf \left(\textit{\_Z}^{2}-i\right)-\sqrt{-x^{4}+2 i x^{3}+2 i x +1}}{\left(i x +1\right)^{2}}\right)}{2}+\frac{7 i \RootOf \left(\textit{\_Z}^{2}-i\right) \ln \left(-\frac{x^{3}-i \left(-x^{4}+2 i x^{3}+2 i x +1\right)^{\frac{1}{4}} x^{2} \RootOf \left(\textit{\_Z}^{2}-i\right)-2 i x^{2}-2 \left(-x^{4}+2 i x^{3}+2 i x +1\right)^{\frac{1}{4}} x \RootOf \left(\textit{\_Z}^{2}-i\right)-i \sqrt{-x^{4}+2 i x^{3}+2 i x +1}\, x -x -\left(-x^{4}+2 i x^{3}+2 i x +1\right)^{\frac{3}{4}} \RootOf \left(\textit{\_Z}^{2}-i\right)+i \left(-x^{4}+2 i x^{3}+2 i x +1\right)^{\frac{1}{4}} \RootOf \left(\textit{\_Z}^{2}-i\right)-\sqrt{-x^{4}+2 i x^{3}+2 i x +1}}{\left(i x +1\right)^{2}}\right)}{2}\right) \left(-\left(i x -1\right) \left(i x +1\right)^{3}\right)^{\frac{1}{4}} a}{\left(\left(i x +1\right) a \right)^{\frac{3}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}}}"," ",0,"1/3*I*(-8*I*x+3*x^2+11)/((I*x+1)*a)^(3/4)/(-(I*x-1)*a)^(1/4)*a+(-7/2*RootOf(_Z^2-I)*ln((-(-x^4+2*I*x^3+2*I*x+1)^(1/4)*RootOf(_Z^2-I)*x^2-I*RootOf(_Z^2-I)*(-x^4+2*I*x^3+2*I*x+1)^(3/4)-x^3+2*I*RootOf(_Z^2-I)*(-x^4+2*I*x^3+2*I*x+1)^(1/4)*x-I*(-x^4+2*I*x^3+2*I*x+1)^(1/2)*x+2*I*x^2+RootOf(_Z^2-I)*(-x^4+2*I*x^3+2*I*x+1)^(1/4)-(-x^4+2*I*x^3+2*I*x+1)^(1/2)+x)/(I*x+1)^2)+7/2*I*RootOf(_Z^2-I)*ln(-(-I*(-x^4+2*I*x^3+2*I*x+1)^(1/4)*RootOf(_Z^2-I)*x^2-2*RootOf(_Z^2-I)*(-x^4+2*I*x^3+2*I*x+1)^(1/4)*x+x^3-RootOf(_Z^2-I)*(-x^4+2*I*x^3+2*I*x+1)^(3/4)-I*(-x^4+2*I*x^3+2*I*x+1)^(1/2)*x+I*RootOf(_Z^2-I)*(-x^4+2*I*x^3+2*I*x+1)^(1/4)-2*I*x^2-(-x^4+2*I*x^3+2*I*x+1)^(1/2)-x)/(I*x+1)^2))/((I*x+1)*a)^(3/4)*(-(I*x-1)*(I*x+1)^3)^(1/4)/(-(I*x-1)*a)^(1/4)*a","C"
1195,1,459,201,1.882000," ","int((-I*a*x+a)^(3/4)/(I*a*x+a)^(7/4),x)","\frac{\frac{4 x}{3}+\frac{4 i}{3}}{\left(\left(i x +1\right) a \right)^{\frac{3}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}}}-\frac{\left(i \RootOf \left(\textit{\_Z}^{2}+i\right) \ln \left(\frac{-x^{3}-i \left(-x^{4}+2 i x^{3}+2 i x +1\right)^{\frac{1}{4}} x^{2} \RootOf \left(\textit{\_Z}^{2}+i\right)+2 i x^{2}-2 \left(-x^{4}+2 i x^{3}+2 i x +1\right)^{\frac{1}{4}} x \RootOf \left(\textit{\_Z}^{2}+i\right)-i \sqrt{-x^{4}+2 i x^{3}+2 i x +1}\, x +x +\left(-x^{4}+2 i x^{3}+2 i x +1\right)^{\frac{3}{4}} \RootOf \left(\textit{\_Z}^{2}+i\right)+i \left(-x^{4}+2 i x^{3}+2 i x +1\right)^{\frac{1}{4}} \RootOf \left(\textit{\_Z}^{2}+i\right)-\sqrt{-x^{4}+2 i x^{3}+2 i x +1}}{\left(i x +1\right)^{2}}\right)-\RootOf \left(\textit{\_Z}^{2}+i\right) \ln \left(-\frac{x^{3}-\left(-x^{4}+2 i x^{3}+2 i x +1\right)^{\frac{1}{4}} x^{2} \RootOf \left(\textit{\_Z}^{2}+i\right)-2 i x^{2}+2 i \left(-x^{4}+2 i x^{3}+2 i x +1\right)^{\frac{1}{4}} x \RootOf \left(\textit{\_Z}^{2}+i\right)-i \sqrt{-x^{4}+2 i x^{3}+2 i x +1}\, x -x +i \left(-x^{4}+2 i x^{3}+2 i x +1\right)^{\frac{3}{4}} \RootOf \left(\textit{\_Z}^{2}+i\right)+\left(-x^{4}+2 i x^{3}+2 i x +1\right)^{\frac{1}{4}} \RootOf \left(\textit{\_Z}^{2}+i\right)-\sqrt{-x^{4}+2 i x^{3}+2 i x +1}}{\left(i x +1\right)^{2}}\right)\right) \left(-\left(i x -1\right) \left(i x +1\right)^{3}\right)^{\frac{1}{4}}}{\left(\left(i x +1\right) a \right)^{\frac{3}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}}}"," ",0,"4/3*(x+I)/((I*x+1)*a)^(3/4)/(-(I*x-1)*a)^(1/4)-(-RootOf(_Z^2+I)*ln(-(-RootOf(_Z^2+I)*(-x^4+2*I*x^3+2*I*x+1)^(1/4)*x^2+x^3+I*RootOf(_Z^2+I)*(-x^4+2*I*x^3+2*I*x+1)^(3/4)+2*I*RootOf(_Z^2+I)*(-x^4+2*I*x^3+2*I*x+1)^(1/4)*x-I*(-x^4+2*I*x^3+2*I*x+1)^(1/2)*x-2*I*x^2+(-x^4+2*I*x^3+2*I*x+1)^(1/4)*RootOf(_Z^2+I)-(-x^4+2*I*x^3+2*I*x+1)^(1/2)-x)/(I*x+1)^2)+I*RootOf(_Z^2+I)*ln((-I*(-x^4+2*I*x^3+2*I*x+1)^(1/4)*RootOf(_Z^2+I)*x^2-2*RootOf(_Z^2+I)*(-x^4+2*I*x^3+2*I*x+1)^(1/4)*x-x^3-I*(-x^4+2*I*x^3+2*I*x+1)^(1/2)*x+RootOf(_Z^2+I)*(-x^4+2*I*x^3+2*I*x+1)^(3/4)+I*RootOf(_Z^2+I)*(-x^4+2*I*x^3+2*I*x+1)^(1/4)+2*I*x^2-(-x^4+2*I*x^3+2*I*x+1)^(1/2)+x)/(I*x+1)^2))/((I*x+1)*a)^(3/4)*(-(I*x-1)*(I*x+1)^3)^(1/4)/(-(I*x-1)*a)^(1/4)","C"
1196,1,31,24,0.044000," ","int(1/(-I*a*x+a)^(1/4)/(I*a*x+a)^(7/4),x)","\frac{\frac{2 x}{3}+\frac{2 i}{3}}{\left(\left(i x +1\right) a \right)^{\frac{3}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} a}"," ",0,"2/3/a/((I*x+1)*a)^(3/4)/(-(I*x-1)*a)^(1/4)*(x+I)","A"
1197,1,33,49,0.049000," ","int(1/(-I*a*x+a)^(5/4)/(I*a*x+a)^(7/4),x)","\frac{\frac{4 x}{3}-\frac{2 i}{3}}{\left(\left(i x +1\right) a \right)^{\frac{3}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} a^{2}}"," ",0,"2/3/a^2/((I*x+1)*a)^(3/4)/(-(I*x-1)*a)^(1/4)*(2*x-I)","A"
1198,1,44,73,0.058000," ","int(1/(-I*a*x+a)^(9/4)/(I*a*x+a)^(7/4),x)","\frac{\frac{16}{15} x^{2}+\frac{8}{15} i x +\frac{14}{15}}{\left(\left(i x +1\right) a \right)^{\frac{3}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(x +i\right) a^{3}}"," ",0,"2/15/a^3/((I*x+1)*a)^(3/4)/(-(I*x-1)*a)^(1/4)*(8*x^2+4*I*x+7)/(x+I)","A"
1199,0,0,125,0.077000," ","int((-I*a*x+a)^(9/4)/(I*a*x+a)^(7/4),x)","\int \frac{\left(-i a x +a \right)^{\frac{9}{4}}}{\left(i a x +a \right)^{\frac{7}{4}}}\, dx"," ",0,"int((-I*a*x+a)^(9/4)/(I*a*x+a)^(7/4),x)","F"
1200,0,0,102,0.067000," ","int((-I*a*x+a)^(5/4)/(I*a*x+a)^(7/4),x)","\int \frac{\left(-i a x +a \right)^{\frac{5}{4}}}{\left(i a x +a \right)^{\frac{7}{4}}}\, dx"," ",0,"int((-I*a*x+a)^(5/4)/(I*a*x+a)^(7/4),x)","F"
1201,0,0,77,0.071000," ","int((-I*a*x+a)^(1/4)/(I*a*x+a)^(7/4),x)","\int \frac{\left(-i a x +a \right)^{\frac{1}{4}}}{\left(i a x +a \right)^{\frac{7}{4}}}\, dx"," ",0,"int((-I*a*x+a)^(1/4)/(I*a*x+a)^(7/4),x)","F"
1202,0,0,80,0.048000," ","int(1/(-I*a*x+a)^(3/4)/(I*a*x+a)^(7/4),x)","\int \frac{1}{\left(-i a x +a \right)^{\frac{3}{4}} \left(i a x +a \right)^{\frac{7}{4}}}\, dx"," ",0,"int(1/(-I*a*x+a)^(3/4)/(I*a*x+a)^(7/4),x)","F"
1203,0,0,80,0.051000," ","int(1/(-I*a*x+a)^(7/4)/(I*a*x+a)^(7/4),x)","\int \frac{1}{\left(-i a x +a \right)^{\frac{7}{4}} \left(i a x +a \right)^{\frac{7}{4}}}\, dx"," ",0,"int(1/(-I*a*x+a)^(7/4)/(I*a*x+a)^(7/4),x)","F"
1204,0,0,104,0.088000," ","int(1/(-I*a*x+a)^(11/4)/(I*a*x+a)^(7/4),x)","\int \frac{1}{\left(-i a x +a \right)^{\frac{11}{4}} \left(i a x +a \right)^{\frac{7}{4}}}\, dx"," ",0,"int(1/(-I*a*x+a)^(11/4)/(I*a*x+a)^(7/4),x)","F"
1205,0,0,128,0.106000," ","int(1/(-I*a*x+a)^(15/4)/(I*a*x+a)^(7/4),x)","\int \frac{1}{\left(-i a x +a \right)^{\frac{15}{4}} \left(i a x +a \right)^{\frac{7}{4}}}\, dx"," ",0,"int(1/(-I*a*x+a)^(15/4)/(I*a*x+a)^(7/4),x)","F"
1206,1,96,124,0.073000," ","int((-I*a*x+a)^(7/4)/(I*a*x+a)^(5/4),x)","-\frac{7 \left(-\left(i x -1\right) \left(i x +1\right) a^{2}\right)^{\frac{1}{4}} a x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -x^{2}\right)}{\left(a^{2}\right)^{\frac{1}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}}}+\frac{2 i \left(x^{2}-12 i x +13\right) a}{3 \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}}}"," ",0,"2/3*I*(x^2+13-12*I*x)*a/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)-7/(a^2)^(1/4)*x*hypergeom([1/4,1/2],[3/2],-x^2)*a*(-(I*x-1)*(I*x+1)*a^2)^(1/4)/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)","C"
1207,1,88,98,0.060000," ","int((-I*a*x+a)^(3/4)/(I*a*x+a)^(5/4),x)","-\frac{3 \left(-\left(i x -1\right) \left(i x +1\right) a^{2}\right)^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -x^{2}\right)}{\left(a^{2}\right)^{\frac{1}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}}}+\frac{4 x +4 i}{\left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}}}"," ",0,"4*(x+I)/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)-3/(a^2)^(1/4)*x*hypergeom([1/4,1/2],[3/2],-x^2)*(-(I*x-1)*(I*x+1)*a^2)^(1/4)/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)","C"
1208,1,94,80,0.045000," ","int(1/(-I*a*x+a)^(1/4)/(I*a*x+a)^(5/4),x)","-\frac{\left(-\left(i x -1\right) \left(i x +1\right) a^{2}\right)^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -x^{2}\right)}{\left(a^{2}\right)^{\frac{1}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a}+\frac{2 x +2 i}{\left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a}"," ",0,"2*(x+I)/a/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)-1/(a^2)^(1/4)*x*hypergeom([1/4,1/2],[3/2],-x^2)/a*(-(I*x-1)*(I*x+1)*a^2)^(1/4)/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)","C"
1209,1,91,55,0.045000," ","int(1/(-I*a*x+a)^(5/4)/(I*a*x+a)^(5/4),x)","-\frac{\left(-\left(i x -1\right) \left(i x +1\right) a^{2}\right)^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -x^{2}\right)}{\left(a^{2}\right)^{\frac{1}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a^{2}}+\frac{2 x}{\left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a^{2}}"," ",0,"2*x/a^2/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)-1/(a^2)^(1/4)*x*hypergeom([1/4,1/2],[3/2],-x^2)/a^2*(-(I*x-1)*(I*x+1)*a^2)^(1/4)/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)","C"
1210,1,107,80,0.072000," ","int(1/(-I*a*x+a)^(9/4)/(I*a*x+a)^(5/4),x)","-\frac{3 \left(-\left(i x -1\right) \left(i x +1\right) a^{2}\right)^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -x^{2}\right)}{5 \left(a^{2}\right)^{\frac{1}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a^{3}}+\frac{\frac{6}{5} x^{2}+\frac{6}{5} i x +\frac{2}{5}}{\left(x +i\right) \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a^{3}}"," ",0,"2/5*(3*I*x+3*x^2+1)/(x+I)/a^3/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)-3/5/(a^2)^(1/4)*x*hypergeom([1/4,1/2],[3/2],-x^2)/a^3*(-(I*x-1)*(I*x+1)*a^2)^(1/4)/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)","C"
1211,1,113,104,0.083000," ","int(1/(-I*a*x+a)^(13/4)/(I*a*x+a)^(5/4),x)","-\frac{\left(-\left(i x -1\right) \left(i x +1\right) a^{2}\right)^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -x^{2}\right)}{3 \left(a^{2}\right)^{\frac{1}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a^{4}}+\frac{\frac{2}{3} x^{3}+\frac{4}{3} i x^{2}-\frac{4}{9} x +\frac{4}{9} i}{\left(x +i\right)^{2} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a^{4}}"," ",0,"2/9*(6*I*x^2+3*x^3-2*x+2*I)/(x+I)^2/a^4/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)-1/3/(a^2)^(1/4)*x*hypergeom([1/4,1/2],[3/2],-x^2)/a^4*(-(I*x-1)*(I*x+1)*a^2)^(1/4)/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)","C"
1212,1,481,213,2.037000," ","int((-I*a*x+a)^(5/4)/(I*a*x+a)^(5/4),x)","-\frac{i \left(x^{2}-8 i x +9\right) \left(-\left(i x -1\right) a \right)^{\frac{1}{4}}}{\left(i x -1\right) \left(\left(i x +1\right) a \right)^{\frac{1}{4}}}-\frac{\left(\frac{5 i \RootOf \left(\textit{\_Z}^{2}-i\right) \ln \left(\frac{-x^{3}+i \left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{1}{4}} x^{2} \RootOf \left(\textit{\_Z}^{2}-i\right)-2 i x^{2}-2 \left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{1}{4}} x \RootOf \left(\textit{\_Z}^{2}-i\right)+i \sqrt{-x^{4}-2 i x^{3}-2 i x +1}\, x +x +\left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{3}{4}} \RootOf \left(\textit{\_Z}^{2}-i\right)-i \left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{1}{4}} \RootOf \left(\textit{\_Z}^{2}-i\right)-\sqrt{-x^{4}-2 i x^{3}-2 i x +1}}{\left(i x -1\right)^{2}}\right)}{2}-\frac{5 \RootOf \left(\textit{\_Z}^{2}-i\right) \ln \left(-\frac{x^{3}+\left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{1}{4}} x^{2} \RootOf \left(\textit{\_Z}^{2}-i\right)+2 i x^{2}+2 i \left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{1}{4}} x \RootOf \left(\textit{\_Z}^{2}-i\right)+i \sqrt{-x^{4}-2 i x^{3}-2 i x +1}\, x -x +i \left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{3}{4}} \RootOf \left(\textit{\_Z}^{2}-i\right)-\left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{1}{4}} \RootOf \left(\textit{\_Z}^{2}-i\right)-\sqrt{-x^{4}-2 i x^{3}-2 i x +1}}{\left(i x -1\right)^{2}}\right)}{2}\right) \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(-\left(i x -1\right)^{3} \left(i x +1\right)\right)^{\frac{1}{4}}}{\left(i x -1\right) \left(\left(i x +1\right) a \right)^{\frac{1}{4}}}"," ",0,"-I*(x^2+9-8*I*x)*(-(I*x-1)*a)^(1/4)/(I*x-1)/((I*x+1)*a)^(1/4)-(-5/2*RootOf(_Z^2-I)*ln(-(RootOf(_Z^2-I)*(-x^4-2*I*x^3-2*I*x+1)^(1/4)*x^2+I*RootOf(_Z^2-I)*(-x^4-2*I*x^3-2*I*x+1)^(3/4)+x^3+2*I*RootOf(_Z^2-I)*(-x^4-2*I*x^3-2*I*x+1)^(1/4)*x+I*(-x^4-2*I*x^3-2*I*x+1)^(1/2)*x+2*I*x^2-RootOf(_Z^2-I)*(-x^4-2*I*x^3-2*I*x+1)^(1/4)-(-x^4-2*I*x^3-2*I*x+1)^(1/2)-x)/(I*x-1)^2)+5/2*I*RootOf(_Z^2-I)*ln((I*RootOf(_Z^2-I)*(-x^4-2*I*x^3-2*I*x+1)^(1/4)*x^2-2*RootOf(_Z^2-I)*(-x^4-2*I*x^3-2*I*x+1)^(1/4)*x-x^3+RootOf(_Z^2-I)*(-x^4-2*I*x^3-2*I*x+1)^(3/4)+I*(-x^4-2*I*x^3-2*I*x+1)^(1/2)*x-I*RootOf(_Z^2-I)*(-x^4-2*I*x^3-2*I*x+1)^(1/4)-2*I*x^2-(-x^4-2*I*x^3-2*I*x+1)^(1/2)+x)/(I*x-1)^2))*(-(I*x-1)*a)^(1/4)/(I*x-1)*(-(I*x-1)^3*(I*x+1))^(1/4)/((I*x+1)*a)^(1/4)","C"
1213,1,476,201,2.008000," ","int((-I*a*x+a)^(1/4)/(I*a*x+a)^(5/4),x)","-\frac{4 \left(x +i\right) \left(-\left(i x -1\right) a \right)^{\frac{1}{4}}}{\left(i x -1\right) \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a}+\frac{\left(\RootOf \left(\textit{\_Z}^{2}+i\right) \ln \left(\frac{-x^{3}-\left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{1}{4}} x^{2} \RootOf \left(\textit{\_Z}^{2}+i\right)-2 i x^{2}-2 i \left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{1}{4}} x \RootOf \left(\textit{\_Z}^{2}+i\right)+i \sqrt{-x^{4}-2 i x^{3}-2 i x +1}\, x +x +i \left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{3}{4}} \RootOf \left(\textit{\_Z}^{2}+i\right)+\left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{1}{4}} \RootOf \left(\textit{\_Z}^{2}+i\right)-\sqrt{-x^{4}-2 i x^{3}-2 i x +1}}{\left(i x -1\right)^{2}}\right)+i \RootOf \left(\textit{\_Z}^{2}+i\right) \ln \left(\frac{-x^{3}-i \left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{1}{4}} x^{2} \RootOf \left(\textit{\_Z}^{2}+i\right)-2 i x^{2}+2 \left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{1}{4}} x \RootOf \left(\textit{\_Z}^{2}+i\right)-i \sqrt{-x^{4}-2 i x^{3}-2 i x +1}\, x +x +\left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{3}{4}} \RootOf \left(\textit{\_Z}^{2}+i\right)+i \left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{1}{4}} \RootOf \left(\textit{\_Z}^{2}+i\right)+\sqrt{-x^{4}-2 i x^{3}-2 i x +1}}{\left(i x -1\right)^{2}}\right)\right) \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(-\left(i x -1\right)^{3} \left(i x +1\right)\right)^{\frac{1}{4}}}{\left(i x -1\right) \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a}"," ",0,"-4*(x+I)/a*(-(I*x-1)*a)^(1/4)/(I*x-1)/((I*x+1)*a)^(1/4)+(RootOf(_Z^2+I)*ln((-RootOf(_Z^2+I)*(-x^4-2*I*x^3-2*I*x+1)^(1/4)*x^2+I*RootOf(_Z^2+I)*(-x^4-2*I*x^3-2*I*x+1)^(3/4)-x^3-2*I*RootOf(_Z^2+I)*(-x^4-2*I*x^3-2*I*x+1)^(1/4)*x+I*(-x^4-2*I*x^3-2*I*x+1)^(1/2)*x-2*I*x^2+RootOf(_Z^2+I)*(-x^4-2*I*x^3-2*I*x+1)^(1/4)-(-x^4-2*I*x^3-2*I*x+1)^(1/2)+x)/(I*x-1)^2)+I*RootOf(_Z^2+I)*ln((-I*RootOf(_Z^2+I)*(-x^4-2*I*x^3-2*I*x+1)^(1/4)*x^2+2*RootOf(_Z^2+I)*(-x^4-2*I*x^3-2*I*x+1)^(1/4)*x-x^3+RootOf(_Z^2+I)*(-x^4-2*I*x^3-2*I*x+1)^(3/4)-I*(-x^4-2*I*x^3-2*I*x+1)^(1/2)*x+I*RootOf(_Z^2+I)*(-x^4-2*I*x^3-2*I*x+1)^(1/4)-2*I*x^2+(-x^4-2*I*x^3-2*I*x+1)^(1/2)+x)/(I*x-1)^2))/a*(-(I*x-1)*a)^(1/4)/(I*x-1)*(-(I*x-1)^3*(I*x+1))^(1/4)/((I*x+1)*a)^(1/4)","C"
1214,1,31,24,0.041000," ","int(1/(-I*a*x+a)^(3/4)/(I*a*x+a)^(5/4),x)","\frac{2 x +2 i}{\left(-\left(i x -1\right) a \right)^{\frac{3}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a}"," ",0,"2/a/(-(I*x-1)*a)^(3/4)/((I*x+1)*a)^(1/4)*(x+I)","A"
1215,1,33,49,0.049000," ","int(1/(-I*a*x+a)^(7/4)/(I*a*x+a)^(5/4),x)","\frac{\frac{4 x}{3}+\frac{2 i}{3}}{\left(-\left(i x -1\right) a \right)^{\frac{3}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a^{2}}"," ",0,"2/3/a^2/(-(I*x-1)*a)^(3/4)/((I*x+1)*a)^(1/4)*(2*x+I)","A"
1216,1,44,73,0.057000," ","int(1/(-I*a*x+a)^(11/4)/(I*a*x+a)^(5/4),x)","\frac{\frac{16}{21} x^{2}+\frac{8}{7} i x -\frac{2}{21}}{\left(-\left(i x -1\right) a \right)^{\frac{3}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} \left(x +i\right) a^{3}}"," ",0,"2/21/a^3/(-(I*x-1)*a)^(3/4)/((I*x+1)*a)^(1/4)*(8*x^2+12*I*x-1)/(x+I)","A"
1217,1,101,122,0.064000," ","int((-I*a*x+a)^(7/4)/(I*a*x+a)^(9/4),x)","\frac{21 \left(-\left(i x -1\right) \left(i x +1\right) a^{2}\right)^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -x^{2}\right)}{5 \left(a^{2}\right)^{\frac{1}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}}}-\frac{8 \left(4 x^{2}+i x +3\right)}{5 \left(x -i\right) \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}}}"," ",0,"-8/5*(4*x^2+3+I*x)/(x-I)/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)+21/5/(a^2)^(1/4)*x*hypergeom([1/4,1/2],[3/2],-x^2)*(-(I*x-1)*(I*x+1)*a^2)^(1/4)/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)","C"
1218,1,107,104,0.044000," ","int((-I*a*x+a)^(3/4)/(I*a*x+a)^(9/4),x)","\frac{3 \left(-\left(i x -1\right) \left(i x +1\right) a^{2}\right)^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -x^{2}\right)}{5 \left(a^{2}\right)^{\frac{1}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a}-\frac{2 \left(3 x^{2}+2 i x +1\right)}{5 \left(x -i\right) \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a}"," ",0,"-2/5*(3*x^2+1+2*I*x)/(x-I)/a/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)+3/5/(a^2)^(1/4)*x*hypergeom([1/4,1/2],[3/2],-x^2)/a*(-(I*x-1)*(I*x+1)*a^2)^(1/4)/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)","C"
1219,1,105,80,0.044000," ","int(1/(-I*a*x+a)^(1/4)/(I*a*x+a)^(9/4),x)","-\frac{\left(-\left(i x -1\right) \left(i x +1\right) a^{2}\right)^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -x^{2}\right)}{5 \left(a^{2}\right)^{\frac{1}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a^{2}}+\frac{\frac{2}{5} x^{2}-\frac{2}{5} i x +\frac{4}{5}}{\left(x -i\right) \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a^{2}}"," ",0,"2/5*(x^2+2-I*x)/(x-I)/a^2/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)-1/5/(a^2)^(1/4)*x*hypergeom([1/4,1/2],[3/2],-x^2)/a^2*(-(I*x-1)*(I*x+1)*a^2)^(1/4)/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)","C"
1220,1,107,80,0.065000," ","int(1/(-I*a*x+a)^(5/4)/(I*a*x+a)^(9/4),x)","-\frac{3 \left(-\left(i x -1\right) \left(i x +1\right) a^{2}\right)^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -x^{2}\right)}{5 \left(a^{2}\right)^{\frac{1}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a^{3}}+\frac{\frac{6}{5} x^{2}-\frac{6}{5} i x +\frac{2}{5}}{\left(x -i\right) \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a^{3}}"," ",0,"2/5*(-3*I*x+3*x^2+1)/(x-I)/a^3/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)-3/5/(a^2)^(1/4)*x*hypergeom([1/4,1/2],[3/2],-x^2)/a^3*(-(I*x-1)*(I*x+1)*a^2)^(1/4)/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)","C"
1221,0,0,87,0.061000," ","int(1/(-I*a*x+a)^(9/4)/(I*a*x+a)^(9/4),x)","\int \frac{1}{\left(-i a x +a \right)^{\frac{9}{4}} \left(i a x +a \right)^{\frac{9}{4}}}\, dx"," ",0,"int(1/(-I*a*x+a)^(9/4)/(I*a*x+a)^(9/4),x)","F"
1222,1,124,111,0.096000," ","int(1/(-I*a*x+a)^(13/4)/(I*a*x+a)^(9/4),x)","-\frac{7 \left(-\left(i x -1\right) \left(i x +1\right) a^{2}\right)^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -x^{2}\right)}{15 \left(a^{2}\right)^{\frac{1}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a^{5}}+\frac{\frac{14}{15} x^{4}+\frac{14}{15} i x^{3}+\frac{56}{45} x^{2}+\frac{56}{45} i x +\frac{2}{9}}{\left(x -i\right) \left(x +i\right)^{2} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a^{5}}"," ",0,"2/45*(21*I*x^3+21*x^4+28*I*x+28*x^2+5)/(x-I)/(x+I)^2/a^5/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)-7/15/(a^2)^(1/4)*x*hypergeom([1/4,1/2],[3/2],-x^2)/a^5*(-(I*x-1)*(I*x+1)*a^2)^(1/4)/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)","C"
1223,1,130,135,0.100000," ","int(1/(-I*a*x+a)^(17/4)/(I*a*x+a)^(9/4),x)","-\frac{21 \left(-\left(i x -1\right) \left(i x +1\right) a^{2}\right)^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -x^{2}\right)}{65 \left(a^{2}\right)^{\frac{1}{4}} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a^{6}}+\frac{\frac{42}{65} x^{5}+\frac{84}{65} i x^{4}+\frac{14}{65} x^{3}+\frac{112}{65} i x^{2}-\frac{46}{65} x +\frac{4}{13} i}{\left(x -i\right) \left(x +i\right)^{3} \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a^{6}}"," ",0,"2/65*(42*I*x^4+21*x^5+56*I*x^2-23*x+7*x^3+10*I)/(x-I)/(x+I)^3/a^6/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)-21/65/(a^2)^(1/4)*x*hypergeom([1/4,1/2],[3/2],-x^2)/a^6*(-(I*x-1)*(I*x+1)*a^2)^(1/4)/(-(I*x-1)*a)^(1/4)/((I*x+1)*a)^(1/4)","C"
1224,1,490,225,0.059000," ","int((-I*a*x+a)^(5/4)/(I*a*x+a)^(9/4),x)","\frac{8 \left(3 x^{2}+i x +2\right) \left(-\left(i x -1\right) a \right)^{\frac{1}{4}}}{5 \left(x -i\right) \left(i x -1\right) \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a}-\frac{\left(\RootOf \left(\textit{\_Z}^{2}+i\right) \ln \left(\frac{-x^{3}-\left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{1}{4}} x^{2} \RootOf \left(\textit{\_Z}^{2}+i\right)-2 i x^{2}-2 i \left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{1}{4}} x \RootOf \left(\textit{\_Z}^{2}+i\right)+i \sqrt{-x^{4}-2 i x^{3}-2 i x +1}\, x +x +i \left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{3}{4}} \RootOf \left(\textit{\_Z}^{2}+i\right)+\left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{1}{4}} \RootOf \left(\textit{\_Z}^{2}+i\right)-\sqrt{-x^{4}-2 i x^{3}-2 i x +1}}{\left(i x -1\right)^{2}}\right)+i \RootOf \left(\textit{\_Z}^{2}+i\right) \ln \left(\frac{-x^{3}-i \left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{1}{4}} x^{2} \RootOf \left(\textit{\_Z}^{2}+i\right)-2 i x^{2}+2 \left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{1}{4}} x \RootOf \left(\textit{\_Z}^{2}+i\right)-i \sqrt{-x^{4}-2 i x^{3}-2 i x +1}\, x +x +\left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{3}{4}} \RootOf \left(\textit{\_Z}^{2}+i\right)+i \left(-x^{4}-2 i x^{3}-2 i x +1\right)^{\frac{1}{4}} \RootOf \left(\textit{\_Z}^{2}+i\right)+\sqrt{-x^{4}-2 i x^{3}-2 i x +1}}{\left(i x -1\right)^{2}}\right)\right) \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(-\left(i x -1\right)^{3} \left(i x +1\right)\right)^{\frac{1}{4}}}{\left(i x -1\right) \left(\left(i x +1\right) a \right)^{\frac{1}{4}} a}"," ",0,"8/5*(3*x^2+2+I*x)/(x-I)/a*(-(I*x-1)*a)^(1/4)/(I*x-1)/((I*x+1)*a)^(1/4)-(RootOf(_Z^2+I)*ln((-RootOf(_Z^2+I)*(-x^4-2*I*x^3-2*I*x+1)^(1/4)*x^2+I*RootOf(_Z^2+I)*(-x^4-2*I*x^3-2*I*x+1)^(3/4)-x^3-2*I*RootOf(_Z^2+I)*(-x^4-2*I*x^3-2*I*x+1)^(1/4)*x+I*(-x^4-2*I*x^3-2*I*x+1)^(1/2)*x-2*I*x^2+RootOf(_Z^2+I)*(-x^4-2*I*x^3-2*I*x+1)^(1/4)-(-x^4-2*I*x^3-2*I*x+1)^(1/2)+x)/(I*x-1)^2)+I*RootOf(_Z^2+I)*ln((-I*RootOf(_Z^2+I)*(-x^4-2*I*x^3-2*I*x+1)^(1/4)*x^2+2*RootOf(_Z^2+I)*(-x^4-2*I*x^3-2*I*x+1)^(1/4)*x-x^3+RootOf(_Z^2+I)*(-x^4-2*I*x^3-2*I*x+1)^(3/4)-I*(-x^4-2*I*x^3-2*I*x+1)^(1/2)*x+I*RootOf(_Z^2+I)*(-x^4-2*I*x^3-2*I*x+1)^(1/4)-2*I*x^2+(-x^4-2*I*x^3-2*I*x+1)^(1/2)+x)/(I*x-1)^2))/a*(-(I*x-1)*a)^(1/4)/(I*x-1)*(-(I*x-1)^3*(I*x+1))^(1/4)/((I*x+1)*a)^(1/4)","C"
1225,1,50,24,0.044000," ","int((-I*a*x+a)^(1/4)/(I*a*x+a)^(9/4),x)","\frac{2 \left(-\left(i x -1\right) a \right)^{\frac{1}{4}} \left(x^{2}+2 i x -1\right)}{5 \left(i x -1\right) \left(\left(i x +1\right) a \right)^{\frac{1}{4}} \left(x -i\right) a^{2}}"," ",0,"2/5/a^2*(-(I*x-1)*a)^(1/4)/(I*x-1)/((I*x+1)*a)^(1/4)*(2*I*x+x^2-1)/(x-I)","B"
1226,1,44,49,0.045000," ","int(1/(-I*a*x+a)^(3/4)/(I*a*x+a)^(9/4),x)","\frac{\frac{4}{5} x^{2}-\frac{2}{5} i x +\frac{6}{5}}{\left(-\left(i x -1\right) a \right)^{\frac{3}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} \left(x -i\right) a^{2}}"," ",0,"2/5/a^2/(-(I*x-1)*a)^(3/4)/((I*x+1)*a)^(1/4)*(2*x^2+3-I*x)/(x-I)","A"
1227,1,44,73,0.055000," ","int(1/(-I*a*x+a)^(7/4)/(I*a*x+a)^(9/4),x)","\frac{\frac{16}{15} x^{2}-\frac{8}{15} i x +\frac{14}{15}}{\left(-\left(i x -1\right) a \right)^{\frac{3}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} \left(x -i\right) a^{3}}"," ",0,"2/15/a^3/(-(I*x-1)*a)^(3/4)/((I*x+1)*a)^(1/4)*(8*x^2-4*I*x+7)/(x-I)","A"
1228,1,56,97,0.065000," ","int(1/(-I*a*x+a)^(11/4)/(I*a*x+a)^(9/4),x)","\frac{\frac{32}{35} x^{3}+\frac{16}{35} i x^{2}+\frac{44}{35} x +\frac{18}{35} i}{\left(-\left(i x -1\right) a \right)^{\frac{3}{4}} \left(\left(i x +1\right) a \right)^{\frac{1}{4}} \left(x -i\right) \left(x +i\right) a^{4}}"," ",0,"2/35/a^4/(-(I*x-1)*a)^(3/4)/((I*x+1)*a)^(1/4)*(16*x^3+8*I*x^2+22*x+9*I)/(x-I)/(x+I)","A"
1229,1,103,83,0.007000," ","int((b*x+a)^2*(-b*c*x+a*c)^n,x)","-\frac{\left(-b x +a \right) \left(b^{2} n^{2} x^{2}+2 a b \,n^{2} x +3 b^{2} n \,x^{2}+a^{2} n^{2}+10 a b n x +2 b^{2} x^{2}+7 a^{2} n +8 a b x +14 a^{2}\right) \left(-b c x +a c \right)^{n}}{\left(n^{3}+6 n^{2}+11 n +6\right) b}"," ",0,"-(-b*x+a)*(b^2*n^2*x^2+2*a*b*n^2*x+3*b^2*n*x^2+a^2*n^2+10*a*b*n*x+2*b^2*x^2+7*a^2*n+8*a*b*x+14*a^2)*(-b*c*x+a*c)^n/b/(n^3+6*n^2+11*n+6)","A"
1230,1,47,53,0.003000," ","int((b*x+a)*(-b*c*x+a*c)^n,x)","-\frac{\left(b n x +a n +b x +3 a \right) \left(-b x +a \right) \left(-b c x +a c \right)^{n}}{\left(n^{2}+3 n +2\right) b}"," ",0,"-(-b*c*x+a*c)^n*(b*n*x+a*n+b*x+3*a)*(-b*x+a)/b/(n^2+3*n+2)","A"
1231,0,0,50,0.072000," ","int((-b*c*x+a*c)^n/(b*x+a),x)","\int \frac{\left(-b c x +a c \right)^{n}}{b x +a}\, dx"," ",0,"int((-b*c*x+a*c)^n/(b*x+a),x)","F"
1232,0,0,50,0.075000," ","int((-b*c*x+a*c)^n/(b*x+a)^2,x)","\int \frac{\left(-b c x +a c \right)^{n}}{\left(b x +a \right)^{2}}\, dx"," ",0,"int((-b*c*x+a*c)^n/(b*x+a)^2,x)","F"
1233,0,0,39,0.119000," ","int((a*x+a)^m*(-c*x+c)^m,x)","\int \left(a x +a \right)^{m} \left(-c x +c \right)^{m}\, dx"," ",0,"int((a*x+a)^m*(-c*x+c)^m,x)","F"
1234,0,0,55,0.094000," ","int((b*x+a)^m*(-b*c*x+a*c)^m,x)","\int \left(b x +a \right)^{m} \left(-b c x +a c \right)^{m}\, dx"," ",0,"int((b*x+a)^m*(-b*c*x+a*c)^m,x)","F"
1235,0,0,18,0.093000," ","int((-6*x+3)^m*(4*x+2)^m,x)","\int \left(4 x +2\right)^{m} \left(-6 x +3\right)^{m}\, dx"," ",0,"int((-6*x+3)^m*(4*x+2)^m,x)","F"
1236,1,97,34,0.002000," ","int((b*x+a)^4*(d*x+c),x)","\frac{b^{4} d \,x^{6}}{6}+a^{4} c x +\frac{\left(4 a \,b^{3} d +b^{4} c \right) x^{5}}{5}+\frac{\left(6 a^{2} b^{2} d +4 a \,b^{3} c \right) x^{4}}{4}+\frac{\left(4 a^{3} b d +6 a^{2} b^{2} c \right) x^{3}}{3}+\frac{\left(a^{4} d +4 a^{3} b c \right) x^{2}}{2}"," ",0,"1/6*b^4*d*x^6+1/5*(4*a*b^3*d+b^4*c)*x^5+1/4*(6*a^2*b^2*d+4*a*b^3*c)*x^4+1/3*(4*a^3*b*d+6*a^2*b^2*c)*x^3+1/2*(a^4*d+4*a^3*b*c)*x^2+a^4*c*x","B"
1237,1,73,34,0.000000," ","int((b*x+a)^3*(d*x+c),x)","\frac{b^{3} d \,x^{5}}{5}+a^{3} c x +\frac{\left(3 a \,b^{2} d +b^{3} c \right) x^{4}}{4}+\frac{\left(3 a^{2} b d +3 a \,b^{2} c \right) x^{3}}{3}+\frac{\left(a^{3} d +3 a^{2} b c \right) x^{2}}{2}"," ",0,"1/5*b^3*d*x^5+1/4*(3*a*b^2*d+b^3*c)*x^4+1/3*(3*a^2*b*d+3*a*b^2*c)*x^3+1/2*(a^3*d+3*a^2*b*c)*x^2+a^3*c*x","B"
1238,1,49,34,0.000000," ","int((b*x+a)^2*(d*x+c),x)","\frac{b^{2} d \,x^{4}}{4}+a^{2} c x +\frac{\left(2 a b d +b^{2} c \right) x^{3}}{3}+\frac{\left(a^{2} d +2 a b c \right) x^{2}}{2}"," ",0,"1/4*b^2*d*x^4+1/3*(2*a*b*d+b^2*c)*x^3+1/2*(a^2*d+2*a*b*c)*x^2+a^2*c*x","A"
1239,1,25,24,0.001000," ","int((b*x+a)*(d*x+c),x)","\frac{b d \,x^{3}}{3}+a c x +\frac{\left(a d +b c \right) x^{2}}{2}"," ",0,"a*c*x+1/2*(a*d+b*c)*x^2+1/3*b*d*x^3","A"
1240,1,11,10,0.000000," ","int(d*x+c,x)","\frac{1}{2} d \,x^{2}+c x"," ",0,"1/2*d*x^2+c*x","A"
1241,1,32,25,0.004000," ","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,"d*x/b-1/b^2*ln(b*x+a)*a*d+1/b*c*ln(b*x+a)","A"
1242,1,39,31,0.005000," ","int((d*x+c)/(b*x+a)^2,x)","\frac{a d}{\left(b x +a \right) b^{2}}-\frac{c}{\left(b x +a \right) b}+\frac{d \ln \left(b x +a \right)}{b^{2}}"," ",0,"d*ln(b*x+a)/b^2+1/b^2/(b*x+a)*a*d-1/b/(b*x+a)*c","A"
1243,1,35,26,0.006000," ","int((d*x+c)/(b*x+a)^3,x)","-\frac{d}{\left(b x +a \right) b^{2}}-\frac{-a d +b c}{2 \left(b x +a \right)^{2} b^{2}}"," ",0,"-1/2*(-a*d+b*c)/b^2/(b*x+a)^2-d/b^2/(b*x+a)","A"
1244,1,35,34,0.006000," ","int((d*x+c)/(b*x+a)^4,x)","-\frac{d}{2 \left(b x +a \right)^{2} b^{2}}-\frac{-a d +b c}{3 \left(b x +a \right)^{3} b^{2}}"," ",0,"-1/3*(-a*d+b*c)/b^2/(b*x+a)^3-1/2*d/b^2/(b*x+a)^2","A"
1245,1,35,34,0.004000," ","int((d*x+c)/(b*x+a)^5,x)","-\frac{d}{3 \left(b x +a \right)^{3} b^{2}}-\frac{-a d +b c}{4 \left(b x +a \right)^{4} b^{2}}"," ",0,"-1/3*d/b^2/(b*x+a)^3-1/4*(-a*d+b*c)/b^2/(b*x+a)^4","A"
1246,1,163,59,0.002000," ","int((b*x+a)^4*(d*x+c)^2,x)","\frac{b^{4} d^{2} x^{7}}{7}+a^{4} c^{2} x +\frac{\left(4 a \,b^{3} d^{2}+2 b^{4} c d \right) x^{6}}{6}+\frac{\left(6 a^{2} b^{2} d^{2}+8 a \,b^{3} c d +b^{4} c^{2}\right) x^{5}}{5}+\frac{\left(4 a^{3} b \,d^{2}+12 a^{2} b^{2} c d +4 a \,b^{3} c^{2}\right) x^{4}}{4}+\frac{\left(a^{4} d^{2}+8 a^{3} b c d +6 a^{2} b^{2} c^{2}\right) x^{3}}{3}+\frac{\left(2 a^{4} c d +4 a^{3} b \,c^{2}\right) x^{2}}{2}"," ",0,"1/7*b^4*d^2*x^7+1/6*(4*a*b^3*d^2+2*b^4*c*d)*x^6+1/5*(6*a^2*b^2*d^2+8*a*b^3*c*d+b^4*c^2)*x^5+1/4*(4*a^3*b*d^2+12*a^2*b^2*c*d+4*a*b^3*c^2)*x^4+1/3*(a^4*d^2+8*a^3*b*c*d+6*a^2*b^2*c^2)*x^3+1/2*(2*a^4*c*d+4*a^3*b*c^2)*x^2+a^4*c^2*x","B"
1247,1,125,59,0.001000," ","int((b*x+a)^3*(d*x+c)^2,x)","\frac{b^{3} d^{2} x^{6}}{6}+a^{3} c^{2} x +\frac{\left(3 a \,b^{2} d^{2}+2 b^{3} c d \right) x^{5}}{5}+\frac{\left(3 a^{2} b \,d^{2}+6 a \,b^{2} c d +b^{3} c^{2}\right) x^{4}}{4}+\frac{\left(a^{3} d^{2}+6 a^{2} b c d +3 a \,b^{2} c^{2}\right) x^{3}}{3}+\frac{\left(2 a^{3} c d +3 a^{2} b \,c^{2}\right) x^{2}}{2}"," ",0,"1/6*b^3*d^2*x^6+1/5*(3*a*b^2*d^2+2*b^3*c*d)*x^5+1/4*(3*a^2*b*d^2+6*a*b^2*c*d+b^3*c^2)*x^4+1/3*(a^3*d^2+6*a^2*b*c*d+3*a*b^2*c^2)*x^3+1/2*(2*a^3*c*d+3*a^2*b*c^2)*x^2+a^3*c^2*x","B"
1248,1,87,59,0.001000," ","int((b*x+a)^2*(d*x+c)^2,x)","\frac{b^{2} d^{2} x^{5}}{5}+a^{2} c^{2} x +\frac{\left(2 a b \,d^{2}+2 b^{2} c d \right) x^{4}}{4}+\frac{\left(a^{2} d^{2}+4 a b c d +b^{2} c^{2}\right) x^{3}}{3}+\frac{\left(2 a^{2} c d +2 a b \,c^{2}\right) x^{2}}{2}"," ",0,"1/5*b^2*d^2*x^5+1/4*(2*a*b*d^2+2*b^2*c*d)*x^4+1/3*(a^2*d^2+4*a*b*c*d+b^2*c^2)*x^3+1/2*(2*a^2*c*d+2*a*b*c^2)*x^2+a^2*c^2*x","A"
1249,1,49,34,0.001000," ","int((b*x+a)*(d*x+c)^2,x)","\frac{b \,d^{2} x^{4}}{4}+a \,c^{2} x +\frac{\left(a \,d^{2}+2 b c d \right) x^{3}}{3}+\frac{\left(2 a c d +b \,c^{2}\right) x^{2}}{2}"," ",0,"1/4*b*d^2*x^4+1/3*(a*d^2+2*b*c*d)*x^3+1/2*(2*a*c*d+b*c^2)*x^2+a*c^2*x","A"
1250,1,13,12,0.000000," ","int((d*x+c)^2,x)","\frac{\left(d x +c \right)^{3}}{3 d}"," ",0,"1/3*(d*x+c)^3/d","A"
1251,1,74,47,0.003000," ","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*a*x+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"
1252,1,86,51,0.009000," ","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,"d^2*x/b^2-2/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"
1253,1,92,57,0.006000," ","int((d*x+c)^2/(b*x+a)^3,x)","-\frac{a^{2} d^{2}}{2 \left(b x +a \right)^{2} b^{3}}+\frac{a c d}{\left(b x +a \right)^{2} b^{2}}-\frac{c^{2}}{2 \left(b x +a \right)^{2} b}+\frac{2 a \,d^{2}}{\left(b x +a \right) b^{3}}-\frac{2 c d}{\left(b x +a \right) b^{2}}+\frac{d^{2} \ln \left(b x +a \right)}{b^{3}}"," ",0,"-1/2/b^3/(b*x+a)^2*a^2*d^2+1/b^2/(b*x+a)^2*a*c*d-1/2/b/(b*x+a)^2*c^2+d^2*ln(b*x+a)/b^3+2/b^3*d^2/(b*x+a)*a-2/b^2*d/(b*x+a)*c","A"
1254,1,70,26,0.006000," ","int((d*x+c)^2/(b*x+a)^4,x)","-\frac{d^{2}}{\left(b x +a \right) b^{3}}+\frac{\left(a d -b c \right) d}{\left(b x +a \right)^{2} b^{3}}-\frac{a^{2} d^{2}-2 a b c d +b^{2} c^{2}}{3 \left(b x +a \right)^{3} b^{3}}"," ",0,"-1/3*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^3/(b*x+a)^3+d*(a*d-b*c)/b^3/(b*x+a)^2-d^2/b^3/(b*x+a)","B"
1255,1,71,59,0.006000," ","int((d*x+c)^2/(b*x+a)^5,x)","-\frac{d^{2}}{2 \left(b x +a \right)^{2} b^{3}}+\frac{2 \left(a d -b c \right) d}{3 \left(b x +a \right)^{3} b^{3}}-\frac{a^{2} d^{2}-2 a b c d +b^{2} c^{2}}{4 \left(b x +a \right)^{4} b^{3}}"," ",0,"2/3*d*(a*d-b*c)/b^3/(b*x+a)^3-1/2*d^2/b^3/(b*x+a)^2-1/4*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^3/(b*x+a)^4","A"
1256,1,71,59,0.007000," ","int((d*x+c)^2/(b*x+a)^6,x)","-\frac{d^{2}}{3 \left(b x +a \right)^{3} b^{3}}+\frac{\left(a d -b c \right) d}{2 \left(b x +a \right)^{4} b^{3}}-\frac{a^{2} d^{2}-2 a b c d +b^{2} c^{2}}{5 \left(b x +a \right)^{5} b^{3}}"," ",0,"-1/3*d^2/b^3/(b*x+a)^3-1/5*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^3/(b*x+a)^5+1/2*d*(a*d-b*c)/b^3/(b*x+a)^4","A"
1257,1,71,59,0.005000," ","int((d*x+c)^2/(b*x+a)^7,x)","-\frac{d^{2}}{4 \left(b x +a \right)^{4} b^{3}}+\frac{2 \left(a d -b c \right) d}{5 \left(b x +a \right)^{5} b^{3}}-\frac{a^{2} d^{2}-2 a b c d +b^{2} c^{2}}{6 \left(b x +a \right)^{6} b^{3}}"," ",0,"2/5*d*(a*d-b*c)/b^3/(b*x+a)^5-1/4*d^2/b^3/(b*x+a)^4-1/6*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^3/(b*x+a)^6","A"
1258,1,281,84,0.000000," ","int((b*x+a)^5*(d*x+c)^3,x)","\frac{b^{5} d^{3} x^{9}}{9}+a^{5} c^{3} x +\frac{\left(5 a \,b^{4} d^{3}+3 b^{5} c \,d^{2}\right) x^{8}}{8}+\frac{\left(10 a^{2} b^{3} d^{3}+15 a \,b^{4} c \,d^{2}+3 b^{5} c^{2} d \right) x^{7}}{7}+\frac{\left(10 a^{3} b^{2} d^{3}+30 a^{2} b^{3} c \,d^{2}+15 a \,b^{4} c^{2} d +b^{5} c^{3}\right) x^{6}}{6}+\frac{\left(5 a^{4} b \,d^{3}+30 a^{3} b^{2} c \,d^{2}+30 a^{2} b^{3} c^{2} d +5 a \,b^{4} c^{3}\right) x^{5}}{5}+\frac{\left(a^{5} d^{3}+15 a^{4} b c \,d^{2}+30 a^{3} b^{2} c^{2} d +10 a^{2} b^{3} c^{3}\right) x^{4}}{4}+\frac{\left(3 a^{5} c \,d^{2}+15 a^{4} b \,c^{2} d +10 a^{3} b^{2} c^{3}\right) x^{3}}{3}+\frac{\left(3 a^{5} c^{2} d +5 a^{4} b \,c^{3}\right) x^{2}}{2}"," ",0,"1/9*b^5*d^3*x^9+1/8*(5*a*b^4*d^3+3*b^5*c*d^2)*x^8+1/7*(10*a^2*b^3*d^3+15*a*b^4*c*d^2+3*b^5*c^2*d)*x^7+1/6*(10*a^3*b^2*d^3+30*a^2*b^3*c*d^2+15*a*b^4*c^2*d+b^5*c^3)*x^6+1/5*(5*a^4*b*d^3+30*a^3*b^2*c*d^2+30*a^2*b^3*c^2*d+5*a*b^4*c^3)*x^5+1/4*(a^5*d^3+15*a^4*b*c*d^2+30*a^3*b^2*c^2*d+10*a^2*b^3*c^3)*x^4+1/3*(3*a^5*c*d^2+15*a^4*b*c^2*d+10*a^3*b^2*c^3)*x^3+1/2*(3*a^5*c^2*d+5*a^4*b*c^3)*x^2+a^5*c^3*x","B"
1259,1,229,84,0.001000," ","int((b*x+a)^4*(d*x+c)^3,x)","\frac{b^{4} d^{3} x^{8}}{8}+a^{4} c^{3} x +\frac{\left(4 a \,b^{3} d^{3}+3 b^{4} c \,d^{2}\right) x^{7}}{7}+\frac{\left(6 a^{2} b^{2} d^{3}+12 a \,b^{3} c \,d^{2}+3 b^{4} c^{2} d \right) x^{6}}{6}+\frac{\left(4 a^{3} b \,d^{3}+18 a^{2} b^{2} c \,d^{2}+12 a \,b^{3} c^{2} d +b^{4} c^{3}\right) x^{5}}{5}+\frac{\left(a^{4} d^{3}+12 a^{3} b c \,d^{2}+18 a^{2} b^{2} c^{2} d +4 a \,b^{3} c^{3}\right) x^{4}}{4}+\frac{\left(3 a^{4} c \,d^{2}+12 a^{3} b \,c^{2} d +6 a^{2} b^{2} c^{3}\right) x^{3}}{3}+\frac{\left(3 a^{4} c^{2} d +4 a^{3} b \,c^{3}\right) x^{2}}{2}"," ",0,"1/8*b^4*d^3*x^8+1/7*(4*a*b^3*d^3+3*b^4*c*d^2)*x^7+1/6*(6*a^2*b^2*d^3+12*a*b^3*c*d^2+3*b^4*c^2*d)*x^6+1/5*(4*a^3*b*d^3+18*a^2*b^2*c*d^2+12*a*b^3*c^2*d+b^4*c^3)*x^5+1/4*(a^4*d^3+12*a^3*b*c*d^2+18*a^2*b^2*c^2*d+4*a*b^3*c^3)*x^4+1/3*(3*a^4*c*d^2+12*a^3*b*c^2*d+6*a^2*b^2*c^3)*x^3+1/2*(3*a^4*c^2*d+4*a^3*b*c^3)*x^2+a^4*c^3*x","B"
1260,1,177,84,0.002000," ","int((b*x+a)^3*(d*x+c)^3,x)","\frac{b^{3} d^{3} x^{7}}{7}+a^{3} c^{3} x +\frac{\left(3 a \,b^{2} d^{3}+3 b^{3} c \,d^{2}\right) x^{6}}{6}+\frac{\left(3 a^{2} b \,d^{3}+9 a \,b^{2} c \,d^{2}+3 b^{3} c^{2} d \right) x^{5}}{5}+\frac{\left(a^{3} d^{3}+9 a^{2} b c \,d^{2}+9 a \,b^{2} c^{2} d +b^{3} c^{3}\right) x^{4}}{4}+\frac{\left(3 a^{3} c \,d^{2}+9 a^{2} b \,c^{2} d +3 a \,b^{2} c^{3}\right) x^{3}}{3}+\frac{\left(3 a^{3} c^{2} d +3 a^{2} b \,c^{3}\right) x^{2}}{2}"," ",0,"1/7*b^3*d^3*x^7+1/6*(3*a*b^2*d^3+3*b^3*c*d^2)*x^6+1/5*(3*a^2*b*d^3+9*a*b^2*c*d^2+3*b^3*c^2*d)*x^5+1/4*(a^3*d^3+9*a^2*b*c*d^2+9*a*b^2*c^2*d+b^3*c^3)*x^4+1/3*(3*a^3*c*d^2+9*a^2*b*c^2*d+3*a*b^2*c^3)*x^3+1/2*(3*a^3*c^2*d+3*a^2*b*c^3)*x^2+a^3*c^3*x","B"
1261,1,125,59,0.001000," ","int((b*x+a)^2*(d*x+c)^3,x)","\frac{b^{2} d^{3} x^{6}}{6}+a^{2} c^{3} x +\frac{\left(2 a b \,d^{3}+3 b^{2} c \,d^{2}\right) x^{5}}{5}+\frac{\left(a^{2} d^{3}+6 a b c \,d^{2}+3 b^{2} c^{2} d \right) x^{4}}{4}+\frac{\left(3 a^{2} c \,d^{2}+6 a b \,c^{2} d +b^{2} c^{3}\right) x^{3}}{3}+\frac{\left(3 a^{2} c^{2} d +2 a b \,c^{3}\right) x^{2}}{2}"," ",0,"1/6*b^2*d^3*x^6+1/5*(2*a*b*d^3+3*b^2*c*d^2)*x^5+1/4*(a^2*d^3+6*a*b*c*d^2+3*b^2*c^2*d)*x^4+1/3*(3*a^2*c*d^2+6*a*b*c^2*d+b^2*c^3)*x^3+1/2*(3*a^2*c^2*d+2*a*b*c^3)*x^2+a^2*c^3*x","B"
1262,1,73,34,0.000000," ","int((b*x+a)*(d*x+c)^3,x)","\frac{b \,d^{3} x^{5}}{5}+a \,c^{3} x +\frac{\left(a \,d^{3}+3 b c \,d^{2}\right) x^{4}}{4}+\frac{\left(3 a c \,d^{2}+3 b \,c^{2} d \right) x^{3}}{3}+\frac{\left(3 a \,c^{2} d +b \,c^{3}\right) x^{2}}{2}"," ",0,"1/5*b*d^3*x^5+1/4*(a*d^3+3*b*c*d^2)*x^4+1/3*(3*a*c*d^2+3*b*c^2*d)*x^3+1/2*(3*a*c^2*d+b*c^3)*x^2+a*c^3*x","B"
1263,1,13,12,0.000000," ","int((d*x+c)^3,x)","\frac{\left(d x +c \right)^{4}}{4 d}"," ",0,"1/4*(d*x+c)^4/d","A"
1264,1,133,69,0.004000," ","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*a^2*x-3*d^2/b^2*a*c*x+3*d/b*c^2*x-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"
1265,1,149,73,0.008000," ","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*d^3*x^2/b^2-2*d^3/b^3*a*x+3*d^2/b^2*x*c+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"
1266,1,160,76,0.009000," ","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,"d^3*x/b^3+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"
1267,1,166,82,0.006000," ","int((d*x+c)^3/(b*x+a)^4,x)","\frac{a^{3} d^{3}}{3 \left(b x +a \right)^{3} b^{4}}-\frac{a^{2} c \,d^{2}}{\left(b x +a \right)^{3} b^{3}}+\frac{a \,c^{2} d}{\left(b x +a \right)^{3} b^{2}}-\frac{c^{3}}{3 \left(b x +a \right)^{3} b}-\frac{3 a^{2} d^{3}}{2 \left(b x +a \right)^{2} b^{4}}+\frac{3 a c \,d^{2}}{\left(b x +a \right)^{2} b^{3}}-\frac{3 c^{2} d}{2 \left(b x +a \right)^{2} b^{2}}+\frac{3 a \,d^{3}}{\left(b x +a \right) b^{4}}-\frac{3 c \,d^{2}}{\left(b x +a \right) b^{3}}+\frac{d^{3} \ln \left(b x +a \right)}{b^{4}}"," ",0,"1/3/b^4/(b*x+a)^3*a^3*d^3-1/b^3/(b*x+a)^3*a^2*c*d^2+1/b^2/(b*x+a)^3*a*c^2*d-1/3/b/(b*x+a)^3*c^3-3/2*d^3/b^4/(b*x+a)^2*a^2+3*d^2/b^3/(b*x+a)^2*a*c-3/2*d/b^2/(b*x+a)^2*c^2+d^3*ln(b*x+a)/b^4+3/b^4*d^3/(b*x+a)*a-3/b^3*d^2/(b*x+a)*c","B"
1268,1,122,26,0.007000," ","int((d*x+c)^3/(b*x+a)^5,x)","-\frac{d^{3}}{\left(b x +a \right) b^{4}}+\frac{3 \left(a d -b c \right) d^{2}}{2 \left(b x +a \right)^{2} b^{4}}-\frac{\left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) d}{\left(b x +a \right)^{3} b^{4}}-\frac{-a^{3} d^{3}+3 a^{2} b c \,d^{2}-3 a \,b^{2} c^{2} d +b^{3} c^{3}}{4 \left(b x +a \right)^{4} b^{4}}"," ",0,"-d*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^4/(b*x+a)^3+3/2*d^2*(a*d-b*c)/b^4/(b*x+a)^2-1/4*(-a^3*d^3+3*a^2*b*c*d^2-3*a*b^2*c^2*d+b^3*c^3)/b^4/(b*x+a)^4-d^3/b^4/(b*x+a)","B"
1269,1,121,54,0.006000," ","int((d*x+c)^3/(b*x+a)^6,x)","-\frac{d^{3}}{2 \left(b x +a \right)^{2} b^{4}}+\frac{\left(a d -b c \right) d^{2}}{\left(b x +a \right)^{3} b^{4}}-\frac{3 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) d}{4 \left(b x +a \right)^{4} b^{4}}-\frac{-a^{3} d^{3}+3 a^{2} b c \,d^{2}-3 a \,b^{2} c^{2} d +b^{3} c^{3}}{5 \left(b x +a \right)^{5} b^{4}}"," ",0,"d^2*(a*d-b*c)/b^4/(b*x+a)^3-1/5*(-a^3*d^3+3*a^2*b*c*d^2-3*a*b^2*c^2*d+b^3*c^3)/b^4/(b*x+a)^5-1/2*d^3/b^4/(b*x+a)^2-3/4*d*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^4/(b*x+a)^4","B"
1270,1,122,84,0.006000," ","int((d*x+c)^3/(b*x+a)^7,x)","-\frac{d^{3}}{3 \left(b x +a \right)^{3} b^{4}}+\frac{3 \left(a d -b c \right) d^{2}}{4 \left(b x +a \right)^{4} b^{4}}-\frac{3 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) d}{5 \left(b x +a \right)^{5} b^{4}}-\frac{-a^{3} d^{3}+3 a^{2} b c \,d^{2}-3 a \,b^{2} c^{2} d +b^{3} c^{3}}{6 \left(b x +a \right)^{6} b^{4}}"," ",0,"-1/3*d^3/b^4/(b*x+a)^3-3/5*d*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^4/(b*x+a)^5+3/4*d^2*(a*d-b*c)/b^4/(b*x+a)^4-1/6*(-a^3*d^3+3*a^2*b*c*d^2-3*a*b^2*c^2*d+b^3*c^3)/b^4/(b*x+a)^6","A"
1271,1,122,84,0.006000," ","int((d*x+c)^3/(b*x+a)^8,x)","-\frac{d^{3}}{4 \left(b x +a \right)^{4} b^{4}}+\frac{3 \left(a d -b c \right) d^{2}}{5 \left(b x +a \right)^{5} b^{4}}-\frac{\left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) d}{2 \left(b x +a \right)^{6} b^{4}}-\frac{-a^{3} d^{3}+3 a^{2} b c \,d^{2}-3 a \,b^{2} c^{2} d +b^{3} c^{3}}{7 \left(b x +a \right)^{7} b^{4}}"," ",0,"-1/7*(-a^3*d^3+3*a^2*b*c*d^2-3*a*b^2*c^2*d+b^3*c^3)/b^4/(b*x+a)^7+3/5*d^2*(a*d-b*c)/b^4/(b*x+a)^5-1/4*d^3/b^4/(b*x+a)^4-1/2*d*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^4/(b*x+a)^6","A"
1272,1,122,84,0.006000," ","int((d*x+c)^3/(b*x+a)^9,x)","-\frac{d^{3}}{5 \left(b x +a \right)^{5} b^{4}}+\frac{\left(a d -b c \right) d^{2}}{2 \left(b x +a \right)^{6} b^{4}}-\frac{3 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) d}{7 \left(b x +a \right)^{7} b^{4}}-\frac{-a^{3} d^{3}+3 a^{2} b c \,d^{2}-3 a \,b^{2} c^{2} d +b^{3} c^{3}}{8 \left(b x +a \right)^{8} b^{4}}"," ",0,"-1/8*(-a^3*d^3+3*a^2*b*c*d^2-3*a*b^2*c^2*d+b^3*c^3)/b^4/(b*x+a)^8-3/7*d*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^4/(b*x+a)^7-1/5*d^3/b^4/(b*x+a)^5+1/2*d^2*(a*d-b*c)/b^4/(b*x+a)^6","A"
1273,1,1033,184,0.002000," ","int((b*x+a)^9*(d*x+c)^7,x)","\frac{b^{9} d^{7} x^{17}}{17}+a^{9} c^{7} x +\frac{\left(9 a \,b^{8} d^{7}+7 b^{9} c \,d^{6}\right) x^{16}}{16}+\frac{\left(36 a^{2} b^{7} d^{7}+63 a \,b^{8} c \,d^{6}+21 b^{9} c^{2} d^{5}\right) x^{15}}{15}+\frac{\left(84 a^{3} b^{6} d^{7}+252 a^{2} b^{7} c \,d^{6}+189 a \,b^{8} c^{2} d^{5}+35 b^{9} c^{3} d^{4}\right) x^{14}}{14}+\frac{\left(126 a^{4} b^{5} d^{7}+588 a^{3} b^{6} c \,d^{6}+756 a^{2} b^{7} c^{2} d^{5}+315 a \,b^{8} c^{3} d^{4}+35 b^{9} c^{4} d^{3}\right) x^{13}}{13}+\frac{\left(126 a^{5} b^{4} d^{7}+882 a^{4} b^{5} c \,d^{6}+1764 a^{3} b^{6} c^{2} d^{5}+1260 a^{2} b^{7} c^{3} d^{4}+315 a \,b^{8} c^{4} d^{3}+21 b^{9} c^{5} d^{2}\right) x^{12}}{12}+\frac{\left(84 a^{6} b^{3} d^{7}+882 a^{5} b^{4} c \,d^{6}+2646 a^{4} b^{5} c^{2} d^{5}+2940 a^{3} b^{6} c^{3} d^{4}+1260 a^{2} b^{7} c^{4} d^{3}+189 a \,b^{8} c^{5} d^{2}+7 b^{9} c^{6} d \right) x^{11}}{11}+\frac{\left(36 a^{7} b^{2} d^{7}+588 a^{6} b^{3} c \,d^{6}+2646 a^{5} b^{4} c^{2} d^{5}+4410 a^{4} b^{5} c^{3} d^{4}+2940 a^{3} b^{6} c^{4} d^{3}+756 a^{2} b^{7} c^{5} d^{2}+63 a \,b^{8} c^{6} d +b^{9} c^{7}\right) x^{10}}{10}+\frac{\left(9 a^{8} b \,d^{7}+252 a^{7} b^{2} c \,d^{6}+1764 a^{6} b^{3} c^{2} d^{5}+4410 a^{5} b^{4} c^{3} d^{4}+4410 a^{4} b^{5} c^{4} d^{3}+1764 a^{3} b^{6} c^{5} d^{2}+252 a^{2} b^{7} c^{6} d +9 a \,b^{8} c^{7}\right) x^{9}}{9}+\frac{\left(a^{9} d^{7}+63 a^{8} b c \,d^{6}+756 a^{7} b^{2} c^{2} d^{5}+2940 a^{6} b^{3} c^{3} d^{4}+4410 a^{5} b^{4} c^{4} d^{3}+2646 a^{4} b^{5} c^{5} d^{2}+588 a^{3} b^{6} c^{6} d +36 a^{2} b^{7} c^{7}\right) x^{8}}{8}+\frac{\left(7 a^{9} c \,d^{6}+189 a^{8} b \,c^{2} d^{5}+1260 a^{7} b^{2} c^{3} d^{4}+2940 a^{6} b^{3} c^{4} d^{3}+2646 a^{5} b^{4} c^{5} d^{2}+882 a^{4} b^{5} c^{6} d +84 a^{3} b^{6} c^{7}\right) x^{7}}{7}+\frac{\left(21 a^{9} c^{2} d^{5}+315 a^{8} b \,c^{3} d^{4}+1260 a^{7} b^{2} c^{4} d^{3}+1764 a^{6} b^{3} c^{5} d^{2}+882 a^{5} b^{4} c^{6} d +126 a^{4} b^{5} c^{7}\right) x^{6}}{6}+\frac{\left(35 a^{9} c^{3} d^{4}+315 a^{8} b \,c^{4} d^{3}+756 a^{7} b^{2} c^{5} d^{2}+588 a^{6} b^{3} c^{6} d +126 a^{5} b^{4} c^{7}\right) x^{5}}{5}+\frac{\left(35 a^{9} c^{4} d^{3}+189 a^{8} b \,c^{5} d^{2}+252 a^{7} b^{2} c^{6} d +84 a^{6} b^{3} c^{7}\right) x^{4}}{4}+\frac{\left(21 a^{9} c^{5} d^{2}+63 a^{8} b \,c^{6} d +36 a^{7} b^{2} c^{7}\right) x^{3}}{3}+\frac{\left(7 a^{9} c^{6} d +9 a^{8} b \,c^{7}\right) x^{2}}{2}"," ",0,"1/17*b^9*d^7*x^17+1/16*(9*a*b^8*d^7+7*b^9*c*d^6)*x^16+1/15*(36*a^2*b^7*d^7+63*a*b^8*c*d^6+21*b^9*c^2*d^5)*x^15+1/14*(84*a^3*b^6*d^7+252*a^2*b^7*c*d^6+189*a*b^8*c^2*d^5+35*b^9*c^3*d^4)*x^14+1/13*(126*a^4*b^5*d^7+588*a^3*b^6*c*d^6+756*a^2*b^7*c^2*d^5+315*a*b^8*c^3*d^4+35*b^9*c^4*d^3)*x^13+1/12*(126*a^5*b^4*d^7+882*a^4*b^5*c*d^6+1764*a^3*b^6*c^2*d^5+1260*a^2*b^7*c^3*d^4+315*a*b^8*c^4*d^3+21*b^9*c^5*d^2)*x^12+1/11*(84*a^6*b^3*d^7+882*a^5*b^4*c*d^6+2646*a^4*b^5*c^2*d^5+2940*a^3*b^6*c^3*d^4+1260*a^2*b^7*c^4*d^3+189*a*b^8*c^5*d^2+7*b^9*c^6*d)*x^11+1/10*(36*a^7*b^2*d^7+588*a^6*b^3*c*d^6+2646*a^5*b^4*c^2*d^5+4410*a^4*b^5*c^3*d^4+2940*a^3*b^6*c^4*d^3+756*a^2*b^7*c^5*d^2+63*a*b^8*c^6*d+b^9*c^7)*x^10+1/9*(9*a^8*b*d^7+252*a^7*b^2*c*d^6+1764*a^6*b^3*c^2*d^5+4410*a^5*b^4*c^3*d^4+4410*a^4*b^5*c^4*d^3+1764*a^3*b^6*c^5*d^2+252*a^2*b^7*c^6*d+9*a*b^8*c^7)*x^9+1/8*(a^9*d^7+63*a^8*b*c*d^6+756*a^7*b^2*c^2*d^5+2940*a^6*b^3*c^3*d^4+4410*a^5*b^4*c^4*d^3+2646*a^4*b^5*c^5*d^2+588*a^3*b^6*c^6*d+36*a^2*b^7*c^7)*x^8+1/7*(7*a^9*c*d^6+189*a^8*b*c^2*d^5+1260*a^7*b^2*c^3*d^4+2940*a^6*b^3*c^4*d^3+2646*a^5*b^4*c^5*d^2+882*a^4*b^5*c^6*d+84*a^3*b^6*c^7)*x^7+1/6*(21*a^9*c^2*d^5+315*a^8*b*c^3*d^4+1260*a^7*b^2*c^4*d^3+1764*a^6*b^3*c^5*d^2+882*a^5*b^4*c^6*d+126*a^4*b^5*c^7)*x^6+1/5*(35*a^9*c^3*d^4+315*a^8*b*c^4*d^3+756*a^7*b^2*c^5*d^2+588*a^6*b^3*c^6*d+126*a^5*b^4*c^7)*x^5+1/4*(35*a^9*c^4*d^3+189*a^8*b*c^5*d^2+252*a^7*b^2*c^6*d+84*a^6*b^3*c^7)*x^4+1/3*(21*a^9*c^5*d^2+63*a^8*b*c^6*d+36*a^7*b^2*c^7)*x^3+1/2*(7*a^9*c^6*d+9*a^8*b*c^7)*x^2+a^9*c^7*x","B"
1274,1,925,184,0.002000," ","int((b*x+a)^8*(d*x+c)^7,x)","\frac{b^{8} d^{7} x^{16}}{16}+a^{8} c^{7} x +\frac{\left(8 a \,b^{7} d^{7}+7 b^{8} c \,d^{6}\right) x^{15}}{15}+\frac{\left(28 a^{2} b^{6} d^{7}+56 a \,b^{7} c \,d^{6}+21 b^{8} c^{2} d^{5}\right) x^{14}}{14}+\frac{\left(56 a^{3} b^{5} d^{7}+196 a^{2} b^{6} c \,d^{6}+168 a \,b^{7} c^{2} d^{5}+35 b^{8} c^{3} d^{4}\right) x^{13}}{13}+\frac{\left(70 a^{4} b^{4} d^{7}+392 a^{3} b^{5} c \,d^{6}+588 a^{2} b^{6} c^{2} d^{5}+280 a \,b^{7} c^{3} d^{4}+35 b^{8} c^{4} d^{3}\right) x^{12}}{12}+\frac{\left(56 a^{5} b^{3} d^{7}+490 a^{4} b^{4} c \,d^{6}+1176 a^{3} b^{5} c^{2} d^{5}+980 a^{2} b^{6} c^{3} d^{4}+280 a \,b^{7} c^{4} d^{3}+21 b^{8} c^{5} d^{2}\right) x^{11}}{11}+\frac{\left(28 a^{6} b^{2} d^{7}+392 a^{5} b^{3} c \,d^{6}+1470 a^{4} b^{4} c^{2} d^{5}+1960 a^{3} b^{5} c^{3} d^{4}+980 a^{2} b^{6} c^{4} d^{3}+168 a \,b^{7} c^{5} d^{2}+7 b^{8} c^{6} d \right) x^{10}}{10}+\frac{\left(8 a^{7} b \,d^{7}+196 a^{6} b^{2} c \,d^{6}+1176 a^{5} b^{3} c^{2} d^{5}+2450 a^{4} b^{4} c^{3} d^{4}+1960 a^{3} b^{5} c^{4} d^{3}+588 a^{2} b^{6} c^{5} d^{2}+56 a \,b^{7} c^{6} d +b^{8} c^{7}\right) x^{9}}{9}+\frac{\left(a^{8} d^{7}+56 a^{7} b c \,d^{6}+588 a^{6} b^{2} c^{2} d^{5}+1960 a^{5} b^{3} c^{3} d^{4}+2450 a^{4} b^{4} c^{4} d^{3}+1176 a^{3} b^{5} c^{5} d^{2}+196 a^{2} b^{6} c^{6} d +8 a \,b^{7} c^{7}\right) x^{8}}{8}+\frac{\left(7 a^{8} c \,d^{6}+168 a^{7} b \,c^{2} d^{5}+980 a^{6} b^{2} c^{3} d^{4}+1960 a^{5} b^{3} c^{4} d^{3}+1470 a^{4} b^{4} c^{5} d^{2}+392 a^{3} b^{5} c^{6} d +28 a^{2} b^{6} c^{7}\right) x^{7}}{7}+\frac{\left(21 a^{8} c^{2} d^{5}+280 a^{7} b \,c^{3} d^{4}+980 a^{6} b^{2} c^{4} d^{3}+1176 a^{5} b^{3} c^{5} d^{2}+490 a^{4} b^{4} c^{6} d +56 a^{3} b^{5} c^{7}\right) x^{6}}{6}+\frac{\left(35 a^{8} c^{3} d^{4}+280 a^{7} b \,c^{4} d^{3}+588 a^{6} b^{2} c^{5} d^{2}+392 a^{5} b^{3} c^{6} d +70 a^{4} b^{4} c^{7}\right) x^{5}}{5}+\frac{\left(35 a^{8} c^{4} d^{3}+168 a^{7} b \,c^{5} d^{2}+196 a^{6} b^{2} c^{6} d +56 a^{5} b^{3} c^{7}\right) x^{4}}{4}+\frac{\left(21 a^{8} c^{5} d^{2}+56 a^{7} b \,c^{6} d +28 a^{6} b^{2} c^{7}\right) x^{3}}{3}+\frac{\left(7 a^{8} c^{6} d +8 a^{7} b \,c^{7}\right) x^{2}}{2}"," ",0,"1/16*b^8*d^7*x^16+1/15*(8*a*b^7*d^7+7*b^8*c*d^6)*x^15+1/14*(28*a^2*b^6*d^7+56*a*b^7*c*d^6+21*b^8*c^2*d^5)*x^14+1/13*(56*a^3*b^5*d^7+196*a^2*b^6*c*d^6+168*a*b^7*c^2*d^5+35*b^8*c^3*d^4)*x^13+1/12*(70*a^4*b^4*d^7+392*a^3*b^5*c*d^6+588*a^2*b^6*c^2*d^5+280*a*b^7*c^3*d^4+35*b^8*c^4*d^3)*x^12+1/11*(56*a^5*b^3*d^7+490*a^4*b^4*c*d^6+1176*a^3*b^5*c^2*d^5+980*a^2*b^6*c^3*d^4+280*a*b^7*c^4*d^3+21*b^8*c^5*d^2)*x^11+1/10*(28*a^6*b^2*d^7+392*a^5*b^3*c*d^6+1470*a^4*b^4*c^2*d^5+1960*a^3*b^5*c^3*d^4+980*a^2*b^6*c^4*d^3+168*a*b^7*c^5*d^2+7*b^8*c^6*d)*x^10+1/9*(8*a^7*b*d^7+196*a^6*b^2*c*d^6+1176*a^5*b^3*c^2*d^5+2450*a^4*b^4*c^3*d^4+1960*a^3*b^5*c^4*d^3+588*a^2*b^6*c^5*d^2+56*a*b^7*c^6*d+b^8*c^7)*x^9+1/8*(a^8*d^7+56*a^7*b*c*d^6+588*a^6*b^2*c^2*d^5+1960*a^5*b^3*c^3*d^4+2450*a^4*b^4*c^4*d^3+1176*a^3*b^5*c^5*d^2+196*a^2*b^6*c^6*d+8*a*b^7*c^7)*x^8+1/7*(7*a^8*c*d^6+168*a^7*b*c^2*d^5+980*a^6*b^2*c^3*d^4+1960*a^5*b^3*c^4*d^3+1470*a^4*b^4*c^5*d^2+392*a^3*b^5*c^6*d+28*a^2*b^6*c^7)*x^7+1/6*(21*a^8*c^2*d^5+280*a^7*b*c^3*d^4+980*a^6*b^2*c^4*d^3+1176*a^5*b^3*c^5*d^2+490*a^4*b^4*c^6*d+56*a^3*b^5*c^7)*x^6+1/5*(35*a^8*c^3*d^4+280*a^7*b*c^4*d^3+588*a^6*b^2*c^5*d^2+392*a^5*b^3*c^6*d+70*a^4*b^4*c^7)*x^5+1/4*(35*a^8*c^4*d^3+168*a^7*b*c^5*d^2+196*a^6*b^2*c^6*d+56*a^5*b^3*c^7)*x^4+1/3*(21*a^8*c^5*d^2+56*a^7*b*c^6*d+28*a^6*b^2*c^7)*x^3+1/2*(7*a^8*c^6*d+8*a^7*b*c^7)*x^2+a^8*c^7*x","B"
1275,1,817,184,0.003000," ","int((b*x+a)^7*(d*x+c)^7,x)","\frac{b^{7} d^{7} x^{15}}{15}+a^{7} c^{7} x +\frac{\left(7 a \,b^{6} d^{7}+7 b^{7} c \,d^{6}\right) x^{14}}{14}+\frac{\left(21 a^{2} b^{5} d^{7}+49 a \,b^{6} c \,d^{6}+21 b^{7} c^{2} d^{5}\right) x^{13}}{13}+\frac{\left(35 a^{3} b^{4} d^{7}+147 a^{2} b^{5} c \,d^{6}+147 a \,b^{6} c^{2} d^{5}+35 b^{7} c^{3} d^{4}\right) x^{12}}{12}+\frac{\left(35 a^{4} b^{3} d^{7}+245 a^{3} b^{4} c \,d^{6}+441 a^{2} b^{5} c^{2} d^{5}+245 a \,b^{6} c^{3} d^{4}+35 b^{7} c^{4} d^{3}\right) x^{11}}{11}+\frac{\left(21 a^{5} b^{2} d^{7}+245 a^{4} b^{3} c \,d^{6}+735 a^{3} b^{4} c^{2} d^{5}+735 a^{2} b^{5} c^{3} d^{4}+245 a \,b^{6} c^{4} d^{3}+21 b^{7} c^{5} d^{2}\right) x^{10}}{10}+\frac{\left(7 a^{6} b \,d^{7}+147 a^{5} b^{2} c \,d^{6}+735 a^{4} b^{3} c^{2} d^{5}+1225 a^{3} b^{4} c^{3} d^{4}+735 a^{2} b^{5} c^{4} d^{3}+147 a \,b^{6} c^{5} d^{2}+7 b^{7} c^{6} d \right) x^{9}}{9}+\frac{\left(a^{7} d^{7}+49 a^{6} b c \,d^{6}+441 a^{5} b^{2} c^{2} d^{5}+1225 a^{4} b^{3} c^{3} d^{4}+1225 a^{3} b^{4} c^{4} d^{3}+441 a^{2} b^{5} c^{5} d^{2}+49 a \,b^{6} c^{6} d +b^{7} c^{7}\right) x^{8}}{8}+\frac{\left(7 a^{7} c \,d^{6}+147 a^{6} b \,c^{2} d^{5}+735 a^{5} b^{2} c^{3} d^{4}+1225 a^{4} b^{3} c^{4} d^{3}+735 a^{3} b^{4} c^{5} d^{2}+147 a^{2} b^{5} c^{6} d +7 a \,b^{6} c^{7}\right) x^{7}}{7}+\frac{\left(21 a^{7} c^{2} d^{5}+245 a^{6} b \,c^{3} d^{4}+735 a^{5} b^{2} c^{4} d^{3}+735 a^{4} b^{3} c^{5} d^{2}+245 a^{3} b^{4} c^{6} d +21 a^{2} b^{5} c^{7}\right) x^{6}}{6}+\frac{\left(35 a^{7} c^{3} d^{4}+245 a^{6} b \,c^{4} d^{3}+441 a^{5} b^{2} c^{5} d^{2}+245 a^{4} b^{3} c^{6} d +35 a^{3} b^{4} c^{7}\right) x^{5}}{5}+\frac{\left(35 a^{7} c^{4} d^{3}+147 a^{6} b \,c^{5} d^{2}+147 a^{5} b^{2} c^{6} d +35 a^{4} b^{3} c^{7}\right) x^{4}}{4}+\frac{\left(21 a^{7} c^{5} d^{2}+49 a^{6} b \,c^{6} d +21 a^{5} b^{2} c^{7}\right) x^{3}}{3}+\frac{\left(7 a^{7} c^{6} d +7 a^{6} b \,c^{7}\right) x^{2}}{2}"," ",0,"1/15*b^7*d^7*x^15+1/14*(7*a*b^6*d^7+7*b^7*c*d^6)*x^14+1/13*(21*a^2*b^5*d^7+49*a*b^6*c*d^6+21*b^7*c^2*d^5)*x^13+1/12*(35*a^3*b^4*d^7+147*a^2*b^5*c*d^6+147*a*b^6*c^2*d^5+35*b^7*c^3*d^4)*x^12+1/11*(35*a^4*b^3*d^7+245*a^3*b^4*c*d^6+441*a^2*b^5*c^2*d^5+245*a*b^6*c^3*d^4+35*b^7*c^4*d^3)*x^11+1/10*(21*a^5*b^2*d^7+245*a^4*b^3*c*d^6+735*a^3*b^4*c^2*d^5+735*a^2*b^5*c^3*d^4+245*a*b^6*c^4*d^3+21*b^7*c^5*d^2)*x^10+1/9*(7*a^6*b*d^7+147*a^5*b^2*c*d^6+735*a^4*b^3*c^2*d^5+1225*a^3*b^4*c^3*d^4+735*a^2*b^5*c^4*d^3+147*a*b^6*c^5*d^2+7*b^7*c^6*d)*x^9+1/8*(a^7*d^7+49*a^6*b*c*d^6+441*a^5*b^2*c^2*d^5+1225*a^4*b^3*c^3*d^4+1225*a^3*b^4*c^4*d^3+441*a^2*b^5*c^5*d^2+49*a*b^6*c^6*d+b^7*c^7)*x^8+1/7*(7*a^7*c*d^6+147*a^6*b*c^2*d^5+735*a^5*b^2*c^3*d^4+1225*a^4*b^3*c^4*d^3+735*a^3*b^4*c^5*d^2+147*a^2*b^5*c^6*d+7*a*b^6*c^7)*x^7+1/6*(21*a^7*c^2*d^5+245*a^6*b*c^3*d^4+735*a^5*b^2*c^4*d^3+735*a^4*b^3*c^5*d^2+245*a^3*b^4*c^6*d+21*a^2*b^5*c^7)*x^6+1/5*(35*a^7*c^3*d^4+245*a^6*b*c^4*d^3+441*a^5*b^2*c^5*d^2+245*a^4*b^3*c^6*d+35*a^3*b^4*c^7)*x^5+1/4*(35*a^7*c^4*d^3+147*a^6*b*c^5*d^2+147*a^5*b^2*c^6*d+35*a^4*b^3*c^7)*x^4+1/3*(21*a^7*c^5*d^2+49*a^6*b*c^6*d+21*a^5*b^2*c^7)*x^3+1/2*(7*a^7*c^6*d+7*a^6*b*c^7)*x^2+a^7*c^7*x","B"
1276,1,709,159,0.001000," ","int((b*x+a)^6*(d*x+c)^7,x)","\frac{b^{6} d^{7} x^{14}}{14}+a^{6} c^{7} x +\frac{\left(6 a \,b^{5} d^{7}+7 b^{6} c \,d^{6}\right) x^{13}}{13}+\frac{\left(15 a^{2} b^{4} d^{7}+42 a \,b^{5} c \,d^{6}+21 b^{6} c^{2} d^{5}\right) x^{12}}{12}+\frac{\left(20 a^{3} b^{3} d^{7}+105 a^{2} b^{4} c \,d^{6}+126 a \,b^{5} c^{2} d^{5}+35 b^{6} c^{3} d^{4}\right) x^{11}}{11}+\frac{\left(15 a^{4} b^{2} d^{7}+140 a^{3} b^{3} c \,d^{6}+315 a^{2} b^{4} c^{2} d^{5}+210 a \,b^{5} c^{3} d^{4}+35 b^{6} c^{4} d^{3}\right) x^{10}}{10}+\frac{\left(6 a^{5} b \,d^{7}+105 a^{4} b^{2} c \,d^{6}+420 a^{3} b^{3} c^{2} d^{5}+525 a^{2} b^{4} c^{3} d^{4}+210 a \,b^{5} c^{4} d^{3}+21 b^{6} c^{5} d^{2}\right) x^{9}}{9}+\frac{\left(a^{6} d^{7}+42 a^{5} b c \,d^{6}+315 a^{4} b^{2} c^{2} d^{5}+700 a^{3} b^{3} c^{3} d^{4}+525 a^{2} b^{4} c^{4} d^{3}+126 a \,b^{5} c^{5} d^{2}+7 b^{6} c^{6} d \right) x^{8}}{8}+\frac{\left(7 a^{6} c \,d^{6}+126 a^{5} b \,c^{2} d^{5}+525 a^{4} b^{2} c^{3} d^{4}+700 a^{3} b^{3} c^{4} d^{3}+315 a^{2} b^{4} c^{5} d^{2}+42 a \,b^{5} c^{6} d +b^{6} c^{7}\right) x^{7}}{7}+\frac{\left(21 a^{6} c^{2} d^{5}+210 a^{5} b \,c^{3} d^{4}+525 a^{4} b^{2} c^{4} d^{3}+420 a^{3} b^{3} c^{5} d^{2}+105 a^{2} b^{4} c^{6} d +6 a \,b^{5} c^{7}\right) x^{6}}{6}+\frac{\left(35 a^{6} c^{3} d^{4}+210 a^{5} b \,c^{4} d^{3}+315 a^{4} b^{2} c^{5} d^{2}+140 a^{3} b^{3} c^{6} d +15 a^{2} b^{4} c^{7}\right) x^{5}}{5}+\frac{\left(35 a^{6} c^{4} d^{3}+126 a^{5} b \,c^{5} d^{2}+105 a^{4} b^{2} c^{6} d +20 a^{3} b^{3} c^{7}\right) x^{4}}{4}+\frac{\left(21 a^{6} c^{5} d^{2}+42 a^{5} b \,c^{6} d +15 a^{4} b^{2} c^{7}\right) x^{3}}{3}+\frac{\left(7 a^{6} c^{6} d +6 a^{5} b \,c^{7}\right) x^{2}}{2}"," ",0,"1/14*b^6*d^7*x^14+1/13*(6*a*b^5*d^7+7*b^6*c*d^6)*x^13+1/12*(15*a^2*b^4*d^7+42*a*b^5*c*d^6+21*b^6*c^2*d^5)*x^12+1/11*(20*a^3*b^3*d^7+105*a^2*b^4*c*d^6+126*a*b^5*c^2*d^5+35*b^6*c^3*d^4)*x^11+1/10*(15*a^4*b^2*d^7+140*a^3*b^3*c*d^6+315*a^2*b^4*c^2*d^5+210*a*b^5*c^3*d^4+35*b^6*c^4*d^3)*x^10+1/9*(6*a^5*b*d^7+105*a^4*b^2*c*d^6+420*a^3*b^3*c^2*d^5+525*a^2*b^4*c^3*d^4+210*a*b^5*c^4*d^3+21*b^6*c^5*d^2)*x^9+1/8*(a^6*d^7+42*a^5*b*c*d^6+315*a^4*b^2*c^2*d^5+700*a^3*b^3*c^3*d^4+525*a^2*b^4*c^4*d^3+126*a*b^5*c^5*d^2+7*b^6*c^6*d)*x^8+1/7*(7*a^6*c*d^6+126*a^5*b*c^2*d^5+525*a^4*b^2*c^3*d^4+700*a^3*b^3*c^4*d^3+315*a^2*b^4*c^5*d^2+42*a*b^5*c^6*d+b^6*c^7)*x^7+1/6*(21*a^6*c^2*d^5+210*a^5*b*c^3*d^4+525*a^4*b^2*c^4*d^3+420*a^3*b^3*c^5*d^2+105*a^2*b^4*c^6*d+6*a*b^5*c^7)*x^6+1/5*(35*a^6*c^3*d^4+210*a^5*b*c^4*d^3+315*a^4*b^2*c^5*d^2+140*a^3*b^3*c^6*d+15*a^2*b^4*c^7)*x^5+1/4*(35*a^6*c^4*d^3+126*a^5*b*c^5*d^2+105*a^4*b^2*c^6*d+20*a^3*b^3*c^7)*x^4+1/3*(21*a^6*c^5*d^2+42*a^5*b*c^6*d+15*a^4*b^2*c^7)*x^3+1/2*(7*a^6*c^6*d+6*a^5*b*c^7)*x^2+a^6*c^7*x","B"
1277,1,601,134,0.002000," ","int((b*x+a)^5*(d*x+c)^7,x)","\frac{b^{5} d^{7} x^{13}}{13}+a^{5} c^{7} x +\frac{\left(5 a \,b^{4} d^{7}+7 b^{5} c \,d^{6}\right) x^{12}}{12}+\frac{\left(10 a^{2} b^{3} d^{7}+35 a \,b^{4} c \,d^{6}+21 b^{5} c^{2} d^{5}\right) x^{11}}{11}+\frac{\left(10 a^{3} b^{2} d^{7}+70 a^{2} b^{3} c \,d^{6}+105 a \,b^{4} c^{2} d^{5}+35 b^{5} c^{3} d^{4}\right) x^{10}}{10}+\frac{\left(5 a^{4} b \,d^{7}+70 a^{3} b^{2} c \,d^{6}+210 a^{2} b^{3} c^{2} d^{5}+175 a \,b^{4} c^{3} d^{4}+35 b^{5} c^{4} d^{3}\right) x^{9}}{9}+\frac{\left(a^{5} d^{7}+35 a^{4} b c \,d^{6}+210 a^{3} b^{2} c^{2} d^{5}+350 a^{2} b^{3} c^{3} d^{4}+175 a \,b^{4} c^{4} d^{3}+21 b^{5} c^{5} d^{2}\right) x^{8}}{8}+\frac{\left(7 a^{5} c \,d^{6}+105 a^{4} b \,c^{2} d^{5}+350 a^{3} b^{2} c^{3} d^{4}+350 a^{2} b^{3} c^{4} d^{3}+105 a \,b^{4} c^{5} d^{2}+7 b^{5} c^{6} d \right) x^{7}}{7}+\frac{\left(21 a^{5} c^{2} d^{5}+175 a^{4} b \,c^{3} d^{4}+350 a^{3} b^{2} c^{4} d^{3}+210 a^{2} b^{3} c^{5} d^{2}+35 a \,b^{4} c^{6} d +b^{5} c^{7}\right) x^{6}}{6}+\frac{\left(35 a^{5} c^{3} d^{4}+175 a^{4} b \,c^{4} d^{3}+210 a^{3} b^{2} c^{5} d^{2}+70 a^{2} b^{3} c^{6} d +5 a \,b^{4} c^{7}\right) x^{5}}{5}+\frac{\left(35 a^{5} c^{4} d^{3}+105 a^{4} b \,c^{5} d^{2}+70 a^{3} b^{2} c^{6} d +10 a^{2} b^{3} c^{7}\right) x^{4}}{4}+\frac{\left(21 a^{5} c^{5} d^{2}+35 a^{4} b \,c^{6} d +10 a^{3} b^{2} c^{7}\right) x^{3}}{3}+\frac{\left(7 a^{5} c^{6} d +5 a^{4} b \,c^{7}\right) x^{2}}{2}"," ",0,"1/13*b^5*d^7*x^13+1/12*(5*a*b^4*d^7+7*b^5*c*d^6)*x^12+1/11*(10*a^2*b^3*d^7+35*a*b^4*c*d^6+21*b^5*c^2*d^5)*x^11+1/10*(10*a^3*b^2*d^7+70*a^2*b^3*c*d^6+105*a*b^4*c^2*d^5+35*b^5*c^3*d^4)*x^10+1/9*(5*a^4*b*d^7+70*a^3*b^2*c*d^6+210*a^2*b^3*c^2*d^5+175*a*b^4*c^3*d^4+35*b^5*c^4*d^3)*x^9+1/8*(a^5*d^7+35*a^4*b*c*d^6+210*a^3*b^2*c^2*d^5+350*a^2*b^3*c^3*d^4+175*a*b^4*c^4*d^3+21*b^5*c^5*d^2)*x^8+1/7*(7*a^5*c*d^6+105*a^4*b*c^2*d^5+350*a^3*b^2*c^3*d^4+350*a^2*b^3*c^4*d^3+105*a*b^4*c^5*d^2+7*b^5*c^6*d)*x^7+1/6*(21*a^5*c^2*d^5+175*a^4*b*c^3*d^4+350*a^3*b^2*c^4*d^3+210*a^2*b^3*c^5*d^2+35*a*b^4*c^6*d+b^5*c^7)*x^6+1/5*(35*a^5*c^3*d^4+175*a^4*b*c^4*d^3+210*a^3*b^2*c^5*d^2+70*a^2*b^3*c^6*d+5*a*b^4*c^7)*x^5+1/4*(35*a^5*c^4*d^3+105*a^4*b*c^5*d^2+70*a^3*b^2*c^6*d+10*a^2*b^3*c^7)*x^4+1/3*(21*a^5*c^5*d^2+35*a^4*b*c^6*d+10*a^3*b^2*c^7)*x^3+1/2*(7*a^5*c^6*d+5*a^4*b*c^7)*x^2+a^5*c^7*x","B"
1278,1,493,109,0.001000," ","int((b*x+a)^4*(d*x+c)^7,x)","\frac{b^{4} d^{7} x^{12}}{12}+a^{4} c^{7} x +\frac{\left(4 a \,b^{3} d^{7}+7 b^{4} c \,d^{6}\right) x^{11}}{11}+\frac{\left(6 a^{2} b^{2} d^{7}+28 a \,b^{3} c \,d^{6}+21 b^{4} c^{2} d^{5}\right) x^{10}}{10}+\frac{\left(4 a^{3} b \,d^{7}+42 a^{2} b^{2} c \,d^{6}+84 a \,b^{3} c^{2} d^{5}+35 b^{4} c^{3} d^{4}\right) x^{9}}{9}+\frac{\left(a^{4} d^{7}+28 a^{3} b c \,d^{6}+126 a^{2} b^{2} c^{2} d^{5}+140 a \,b^{3} c^{3} d^{4}+35 b^{4} c^{4} d^{3}\right) x^{8}}{8}+\frac{\left(7 a^{4} c \,d^{6}+84 a^{3} b \,c^{2} d^{5}+210 a^{2} b^{2} c^{3} d^{4}+140 a \,b^{3} c^{4} d^{3}+21 b^{4} c^{5} d^{2}\right) x^{7}}{7}+\frac{\left(21 a^{4} c^{2} d^{5}+140 a^{3} b \,c^{3} d^{4}+210 a^{2} b^{2} c^{4} d^{3}+84 a \,b^{3} c^{5} d^{2}+7 b^{4} c^{6} d \right) x^{6}}{6}+\frac{\left(35 a^{4} c^{3} d^{4}+140 a^{3} b \,c^{4} d^{3}+126 a^{2} b^{2} c^{5} d^{2}+28 a \,b^{3} c^{6} d +b^{4} c^{7}\right) x^{5}}{5}+\frac{\left(35 a^{4} c^{4} d^{3}+84 a^{3} b \,c^{5} d^{2}+42 a^{2} b^{2} c^{6} d +4 a \,b^{3} c^{7}\right) x^{4}}{4}+\frac{\left(21 a^{4} c^{5} d^{2}+28 a^{3} b \,c^{6} d +6 a^{2} b^{2} c^{7}\right) x^{3}}{3}+\frac{\left(7 a^{4} c^{6} d +4 a^{3} b \,c^{7}\right) x^{2}}{2}"," ",0,"1/12*b^4*d^7*x^12+1/11*(4*a*b^3*d^7+7*b^4*c*d^6)*x^11+1/10*(6*a^2*b^2*d^7+28*a*b^3*c*d^6+21*b^4*c^2*d^5)*x^10+1/9*(4*a^3*b*d^7+42*a^2*b^2*c*d^6+84*a*b^3*c^2*d^5+35*b^4*c^3*d^4)*x^9+1/8*(a^4*d^7+28*a^3*b*c*d^6+126*a^2*b^2*c^2*d^5+140*a*b^3*c^3*d^4+35*b^4*c^4*d^3)*x^8+1/7*(7*a^4*c*d^6+84*a^3*b*c^2*d^5+210*a^2*b^2*c^3*d^4+140*a*b^3*c^4*d^3+21*b^4*c^5*d^2)*x^7+1/6*(21*a^4*c^2*d^5+140*a^3*b*c^3*d^4+210*a^2*b^2*c^4*d^3+84*a*b^3*c^5*d^2+7*b^4*c^6*d)*x^6+1/5*(35*a^4*c^3*d^4+140*a^3*b*c^4*d^3+126*a^2*b^2*c^5*d^2+28*a*b^3*c^6*d+b^4*c^7)*x^5+1/4*(35*a^4*c^4*d^3+84*a^3*b*c^5*d^2+42*a^2*b^2*c^6*d+4*a*b^3*c^7)*x^4+1/3*(21*a^4*c^5*d^2+28*a^3*b*c^6*d+6*a^2*b^2*c^7)*x^3+1/2*(7*a^4*c^6*d+4*a^3*b*c^7)*x^2+a^4*c^7*x","B"
1279,1,385,84,0.002000," ","int((b*x+a)^3*(d*x+c)^7,x)","\frac{b^{3} d^{7} x^{11}}{11}+a^{3} c^{7} x +\frac{\left(3 a \,b^{2} d^{7}+7 b^{3} c \,d^{6}\right) x^{10}}{10}+\frac{\left(3 a^{2} b \,d^{7}+21 a \,b^{2} c \,d^{6}+21 b^{3} c^{2} d^{5}\right) x^{9}}{9}+\frac{\left(a^{3} d^{7}+21 a^{2} b c \,d^{6}+63 a \,b^{2} c^{2} d^{5}+35 b^{3} c^{3} d^{4}\right) x^{8}}{8}+\frac{\left(7 a^{3} c \,d^{6}+63 a^{2} b \,c^{2} d^{5}+105 a \,b^{2} c^{3} d^{4}+35 b^{3} c^{4} d^{3}\right) x^{7}}{7}+\frac{\left(21 a^{3} c^{2} d^{5}+105 a^{2} b \,c^{3} d^{4}+105 a \,b^{2} c^{4} d^{3}+21 b^{3} c^{5} d^{2}\right) x^{6}}{6}+\frac{\left(35 a^{3} c^{3} d^{4}+105 a^{2} b \,c^{4} d^{3}+63 a \,b^{2} c^{5} d^{2}+7 b^{3} c^{6} d \right) x^{5}}{5}+\frac{\left(35 a^{3} c^{4} d^{3}+63 a^{2} b \,c^{5} d^{2}+21 a \,b^{2} c^{6} d +b^{3} c^{7}\right) x^{4}}{4}+\frac{\left(21 a^{3} c^{5} d^{2}+21 a^{2} b \,c^{6} d +3 a \,b^{2} c^{7}\right) x^{3}}{3}+\frac{\left(7 a^{3} c^{6} d +3 a^{2} b \,c^{7}\right) x^{2}}{2}"," ",0,"1/11*b^3*d^7*x^11+1/10*(3*a*b^2*d^7+7*b^3*c*d^6)*x^10+1/9*(3*a^2*b*d^7+21*a*b^2*c*d^6+21*b^3*c^2*d^5)*x^9+1/8*(a^3*d^7+21*a^2*b*c*d^6+63*a*b^2*c^2*d^5+35*b^3*c^3*d^4)*x^8+1/7*(7*a^3*c*d^6+63*a^2*b*c^2*d^5+105*a*b^2*c^3*d^4+35*b^3*c^4*d^3)*x^7+1/6*(21*a^3*c^2*d^5+105*a^2*b*c^3*d^4+105*a*b^2*c^4*d^3+21*b^3*c^5*d^2)*x^6+1/5*(35*a^3*c^3*d^4+105*a^2*b*c^4*d^3+63*a*b^2*c^5*d^2+7*b^3*c^6*d)*x^5+1/4*(35*a^3*c^4*d^3+63*a^2*b*c^5*d^2+21*a*b^2*c^6*d+b^3*c^7)*x^4+1/3*(21*a^3*c^5*d^2+21*a^2*b*c^6*d+3*a*b^2*c^7)*x^3+1/2*(7*a^3*c^6*d+3*a^2*b*c^7)*x^2+a^3*c^7*x","B"
1280,1,277,59,0.001000," ","int((b*x+a)^2*(d*x+c)^7,x)","\frac{b^{2} d^{7} x^{10}}{10}+a^{2} c^{7} x +\frac{\left(2 a b \,d^{7}+7 b^{2} c \,d^{6}\right) x^{9}}{9}+\frac{\left(a^{2} d^{7}+14 a b c \,d^{6}+21 b^{2} c^{2} d^{5}\right) x^{8}}{8}+\frac{\left(7 a^{2} c \,d^{6}+42 a b \,c^{2} d^{5}+35 b^{2} c^{3} d^{4}\right) x^{7}}{7}+\frac{\left(21 a^{2} c^{2} d^{5}+70 a b \,c^{3} d^{4}+35 b^{2} c^{4} d^{3}\right) x^{6}}{6}+\frac{\left(35 a^{2} c^{3} d^{4}+70 a b \,c^{4} d^{3}+21 b^{2} c^{5} d^{2}\right) x^{5}}{5}+\frac{\left(35 a^{2} c^{4} d^{3}+42 a b \,c^{5} d^{2}+7 b^{2} c^{6} d \right) x^{4}}{4}+\frac{\left(21 a^{2} c^{5} d^{2}+14 a b \,c^{6} d +b^{2} c^{7}\right) x^{3}}{3}+\frac{\left(7 a^{2} c^{6} d +2 a b \,c^{7}\right) x^{2}}{2}"," ",0,"1/10*b^2*d^7*x^10+1/9*(2*a*b*d^7+7*b^2*c*d^6)*x^9+1/8*(a^2*d^7+14*a*b*c*d^6+21*b^2*c^2*d^5)*x^8+1/7*(7*a^2*c*d^6+42*a*b*c^2*d^5+35*b^2*c^3*d^4)*x^7+1/6*(21*a^2*c^2*d^5+70*a*b*c^3*d^4+35*b^2*c^4*d^3)*x^6+1/5*(35*a^2*c^3*d^4+70*a*b*c^4*d^3+21*b^2*c^5*d^2)*x^5+1/4*(35*a^2*c^4*d^3+42*a*b*c^5*d^2+7*b^2*c^6*d)*x^4+1/3*(21*a^2*c^5*d^2+14*a*b*c^6*d+b^2*c^7)*x^3+1/2*(7*a^2*c^6*d+2*a*b*c^7)*x^2+a^2*c^7*x","B"
1281,1,169,34,0.000000," ","int((b*x+a)*(d*x+c)^7,x)","\frac{b \,d^{7} x^{9}}{9}+a \,c^{7} x +\frac{\left(a \,d^{7}+7 b c \,d^{6}\right) x^{8}}{8}+\frac{\left(7 a c \,d^{6}+21 b \,c^{2} d^{5}\right) x^{7}}{7}+\frac{\left(21 a \,c^{2} d^{5}+35 b \,c^{3} d^{4}\right) x^{6}}{6}+\frac{\left(35 a \,c^{3} d^{4}+35 b \,c^{4} d^{3}\right) x^{5}}{5}+\frac{\left(35 a \,c^{4} d^{3}+21 b \,c^{5} d^{2}\right) x^{4}}{4}+\frac{\left(21 a \,c^{5} d^{2}+7 b \,c^{6} d \right) x^{3}}{3}+\frac{\left(7 a \,c^{6} d +b \,c^{7}\right) x^{2}}{2}"," ",0,"1/9*b*d^7*x^9+1/8*(a*d^7+7*b*c*d^6)*x^8+1/7*(7*a*c*d^6+21*b*c^2*d^5)*x^7+1/6*(21*a*c^2*d^5+35*b*c^3*d^4)*x^6+1/5*(35*a*c^3*d^4+35*b*c^4*d^3)*x^5+1/4*(35*a*c^4*d^3+21*b*c^5*d^2)*x^4+1/3*(21*a*c^5*d^2+7*b*c^6*d)*x^3+1/2*(7*a*c^6*d+b*c^7)*x^2+a*c^7*x","B"
1282,1,13,12,0.000000," ","int((d*x+c)^7,x)","\frac{\left(d x +c \right)^{8}}{8 d}"," ",0,"1/8*(d*x+c)^8/d","A"
1283,1,539,157,0.007000," ","int((d*x+c)^7/(b*x+a),x)","\frac{d^{7} x^{7}}{7 b}-\frac{a \,d^{7} x^{6}}{6 b^{2}}+\frac{7 c \,d^{6} x^{6}}{6 b}+\frac{a^{2} d^{7} x^{5}}{5 b^{3}}-\frac{7 a c \,d^{6} x^{5}}{5 b^{2}}+\frac{21 c^{2} d^{5} x^{5}}{5 b}-\frac{a^{3} d^{7} x^{4}}{4 b^{4}}+\frac{7 a^{2} c \,d^{6} x^{4}}{4 b^{3}}-\frac{21 a \,c^{2} d^{5} x^{4}}{4 b^{2}}+\frac{35 c^{3} d^{4} x^{4}}{4 b}+\frac{a^{4} d^{7} x^{3}}{3 b^{5}}-\frac{7 a^{3} c \,d^{6} x^{3}}{3 b^{4}}+\frac{7 a^{2} c^{2} d^{5} x^{3}}{b^{3}}-\frac{35 a \,c^{3} d^{4} x^{3}}{3 b^{2}}+\frac{35 c^{4} d^{3} x^{3}}{3 b}-\frac{a^{5} d^{7} x^{2}}{2 b^{6}}+\frac{7 a^{4} c \,d^{6} x^{2}}{2 b^{5}}-\frac{21 a^{3} c^{2} d^{5} x^{2}}{2 b^{4}}+\frac{35 a^{2} c^{3} d^{4} x^{2}}{2 b^{3}}-\frac{35 a \,c^{4} d^{3} x^{2}}{2 b^{2}}+\frac{21 c^{5} d^{2} x^{2}}{2 b}-\frac{a^{7} d^{7} \ln \left(b x +a \right)}{b^{8}}+\frac{7 a^{6} c \,d^{6} \ln \left(b x +a \right)}{b^{7}}+\frac{a^{6} d^{7} x}{b^{7}}-\frac{21 a^{5} c^{2} d^{5} \ln \left(b x +a \right)}{b^{6}}-\frac{7 a^{5} c \,d^{6} x}{b^{6}}+\frac{35 a^{4} c^{3} d^{4} \ln \left(b x +a \right)}{b^{5}}+\frac{21 a^{4} c^{2} d^{5} x}{b^{5}}-\frac{35 a^{3} c^{4} d^{3} \ln \left(b x +a \right)}{b^{4}}-\frac{35 a^{3} c^{3} d^{4} x}{b^{4}}+\frac{21 a^{2} c^{5} d^{2} \ln \left(b x +a \right)}{b^{3}}+\frac{35 a^{2} c^{4} d^{3} x}{b^{3}}-\frac{7 a \,c^{6} d \ln \left(b x +a \right)}{b^{2}}-\frac{21 a \,c^{5} d^{2} x}{b^{2}}+\frac{c^{7} \ln \left(b x +a \right)}{b}+\frac{7 c^{6} d x}{b}"," ",0,"7/6*d^6/b*x^6*c+1/5*d^7/b^3*x^5*a^2+7*d/b*c^6*x+d^7/b^7*a^6*x-1/b^8*ln(b*x+a)*a^7*d^7+21/5*d^5/b*x^5*c^2-1/4*d^7/b^4*x^4*a^3+35/4*d^4/b*x^4*c^3+1/3*d^7/b^5*x^3*a^4+35/3*d^3/b*x^3*c^4-1/2*d^7/b^6*x^2*a^5+21/2*d^2/b*x^2*c^5-1/6*d^7/b^2*x^6*a+35*d^3/b^3*a^2*c^4*x-21*d^2/b^2*a*c^5*x-21/2*d^5/b^4*x^2*a^3*c^2+35/2*d^4/b^3*x^2*a^2*c^3+7/4*d^6/b^3*x^4*a^2*c-21/4*d^5/b^2*x^4*a*c^2-7/b^2*ln(b*x+a)*a*c^6*d-35/2*d^3/b^2*x^2*a*c^4+7/2*d^6/b^5*x^2*a^4*c+7*d^5/b^3*x^3*a^2*c^2-35/3*d^4/b^2*x^3*a*c^3+7/b^7*ln(b*x+a)*a^6*c*d^6-21/b^6*ln(b*x+a)*a^5*c^2*d^5+35/b^5*ln(b*x+a)*a^4*c^3*d^4-7/3*d^6/b^4*x^3*a^3*c-7/5*d^6/b^2*x^5*a*c-7*d^6/b^6*a^5*c*x+21*d^5/b^5*a^4*c^2*x-35*d^4/b^4*a^3*c^3*x-35/b^4*ln(b*x+a)*a^3*c^4*d^3+21/b^3*ln(b*x+a)*a^2*c^5*d^2+1/b*ln(b*x+a)*c^7+1/7*d^7/b*x^7","B"
1284,1,571,177,0.011000," ","int((d*x+c)^7/(b*x+a)^2,x)","\frac{d^{7} x^{6}}{6 b^{2}}-\frac{2 a \,d^{7} x^{5}}{5 b^{3}}+\frac{7 c \,d^{6} x^{5}}{5 b^{2}}+\frac{3 a^{2} d^{7} x^{4}}{4 b^{4}}-\frac{7 a c \,d^{6} x^{4}}{2 b^{3}}+\frac{21 c^{2} d^{5} x^{4}}{4 b^{2}}-\frac{4 a^{3} d^{7} x^{3}}{3 b^{5}}+\frac{7 a^{2} c \,d^{6} x^{3}}{b^{4}}-\frac{14 a \,c^{2} d^{5} x^{3}}{b^{3}}+\frac{35 c^{3} d^{4} x^{3}}{3 b^{2}}+\frac{5 a^{4} d^{7} x^{2}}{2 b^{6}}-\frac{14 a^{3} c \,d^{6} x^{2}}{b^{5}}+\frac{63 a^{2} c^{2} d^{5} x^{2}}{2 b^{4}}-\frac{35 a \,c^{3} d^{4} x^{2}}{b^{3}}+\frac{35 c^{4} d^{3} x^{2}}{2 b^{2}}+\frac{a^{7} d^{7}}{\left(b x +a \right) b^{8}}-\frac{7 a^{6} c \,d^{6}}{\left(b x +a \right) b^{7}}+\frac{7 a^{6} d^{7} \ln \left(b x +a \right)}{b^{8}}+\frac{21 a^{5} c^{2} d^{5}}{\left(b x +a \right) b^{6}}-\frac{42 a^{5} c \,d^{6} \ln \left(b x +a \right)}{b^{7}}-\frac{6 a^{5} d^{7} x}{b^{7}}-\frac{35 a^{4} c^{3} d^{4}}{\left(b x +a \right) b^{5}}+\frac{105 a^{4} c^{2} d^{5} \ln \left(b x +a \right)}{b^{6}}+\frac{35 a^{4} c \,d^{6} x}{b^{6}}+\frac{35 a^{3} c^{4} d^{3}}{\left(b x +a \right) b^{4}}-\frac{140 a^{3} c^{3} d^{4} \ln \left(b x +a \right)}{b^{5}}-\frac{84 a^{3} c^{2} d^{5} x}{b^{5}}-\frac{21 a^{2} c^{5} d^{2}}{\left(b x +a \right) b^{3}}+\frac{105 a^{2} c^{4} d^{3} \ln \left(b x +a \right)}{b^{4}}+\frac{105 a^{2} c^{3} d^{4} x}{b^{4}}+\frac{7 a \,c^{6} d}{\left(b x +a \right) b^{2}}-\frac{42 a \,c^{5} d^{2} \ln \left(b x +a \right)}{b^{3}}-\frac{70 a \,c^{4} d^{3} x}{b^{3}}-\frac{c^{7}}{\left(b x +a \right) b}+\frac{7 c^{6} d \ln \left(b x +a \right)}{b^{2}}+\frac{21 c^{5} d^{2} x}{b^{2}}"," ",0,"35/3*d^4/b^2*x^3*c^3+5/2*d^7/b^6*x^2*a^4+35/2*d^3/b^2*x^2*c^4-6*d^7/b^7*a^5*x+21*d^2/b^2*c^5*x+7/b^8*d^7*ln(b*x+a)*a^6+7/b^2*d*ln(b*x+a)*c^6+1/b^8/(b*x+a)*a^7*d^7-2/5*d^7/b^3*x^5*a+7/5*d^6/b^2*x^5*c+3/4*d^7/b^4*x^4*a^2+21/4*d^5/b^2*x^4*c^2-4/3*d^7/b^5*x^3*a^3-21/b^3/(b*x+a)*a^2*c^5*d^2+7/b^2/(b*x+a)*a*c^6*d-14*d^5/b^3*x^3*a*c^2-14*d^6/b^5*x^2*a^3*c+63/2*d^5/b^4*x^2*a^2*c^2-35*d^4/b^3*x^2*a*c^3+35*d^6/b^6*a^4*c*x-7/2*d^6/b^3*x^4*a*c+7*d^6/b^4*x^3*a^2*c-70*d^3/b^3*a*c^4*x-42/b^7*d^6*ln(b*x+a)*a^5*c+105/b^6*d^5*ln(b*x+a)*a^4*c^2-140/b^5*d^4*ln(b*x+a)*a^3*c^3+105/b^4*d^3*ln(b*x+a)*a^2*c^4-42/b^3*d^2*ln(b*x+a)*a*c^5-7/b^7/(b*x+a)*a^6*c*d^6+21/b^6/(b*x+a)*a^5*c^2*d^5-35/b^5/(b*x+a)*a^4*c^3*d^4+35/b^4/(b*x+a)*a^3*c^4*d^3-84*d^5/b^5*a^3*c^2*x+105*d^4/b^4*a^2*c^3*x-1/b/(b*x+a)*c^7+1/6*d^7/b^2*x^6","B"
1285,1,599,177,0.014000," ","int((d*x+c)^7/(b*x+a)^3,x)","\frac{d^{7} x^{5}}{5 b^{3}}-\frac{3 a \,d^{7} x^{4}}{4 b^{4}}+\frac{7 c \,d^{6} x^{4}}{4 b^{3}}+\frac{2 a^{2} d^{7} x^{3}}{b^{5}}-\frac{7 a c \,d^{6} x^{3}}{b^{4}}+\frac{7 c^{2} d^{5} x^{3}}{b^{3}}+\frac{a^{7} d^{7}}{2 \left(b x +a \right)^{2} b^{8}}-\frac{7 a^{6} c \,d^{6}}{2 \left(b x +a \right)^{2} b^{7}}+\frac{21 a^{5} c^{2} d^{5}}{2 \left(b x +a \right)^{2} b^{6}}-\frac{35 a^{4} c^{3} d^{4}}{2 \left(b x +a \right)^{2} b^{5}}+\frac{35 a^{3} c^{4} d^{3}}{2 \left(b x +a \right)^{2} b^{4}}-\frac{5 a^{3} d^{7} x^{2}}{b^{6}}-\frac{21 a^{2} c^{5} d^{2}}{2 \left(b x +a \right)^{2} b^{3}}+\frac{21 a^{2} c \,d^{6} x^{2}}{b^{5}}+\frac{7 a \,c^{6} d}{2 \left(b x +a \right)^{2} b^{2}}-\frac{63 a \,c^{2} d^{5} x^{2}}{2 b^{4}}-\frac{c^{7}}{2 \left(b x +a \right)^{2} b}+\frac{35 c^{3} d^{4} x^{2}}{2 b^{3}}-\frac{7 a^{6} d^{7}}{\left(b x +a \right) b^{8}}+\frac{42 a^{5} c \,d^{6}}{\left(b x +a \right) b^{7}}-\frac{21 a^{5} d^{7} \ln \left(b x +a \right)}{b^{8}}-\frac{105 a^{4} c^{2} d^{5}}{\left(b x +a \right) b^{6}}+\frac{105 a^{4} c \,d^{6} \ln \left(b x +a \right)}{b^{7}}+\frac{15 a^{4} d^{7} x}{b^{7}}+\frac{140 a^{3} c^{3} d^{4}}{\left(b x +a \right) b^{5}}-\frac{210 a^{3} c^{2} d^{5} \ln \left(b x +a \right)}{b^{6}}-\frac{70 a^{3} c \,d^{6} x}{b^{6}}-\frac{105 a^{2} c^{4} d^{3}}{\left(b x +a \right) b^{4}}+\frac{210 a^{2} c^{3} d^{4} \ln \left(b x +a \right)}{b^{5}}+\frac{126 a^{2} c^{2} d^{5} x}{b^{5}}+\frac{42 a \,c^{5} d^{2}}{\left(b x +a \right) b^{3}}-\frac{105 a \,c^{4} d^{3} \ln \left(b x +a \right)}{b^{4}}-\frac{105 a \,c^{3} d^{4} x}{b^{4}}-\frac{7 c^{6} d}{\left(b x +a \right) b^{2}}+\frac{21 c^{5} d^{2} \ln \left(b x +a \right)}{b^{3}}+\frac{35 c^{4} d^{3} x}{b^{3}}"," ",0,"2*d^7/b^5*x^3*a^2+7*d^5/b^3*x^3*c^2-5*d^7/b^6*x^2*a^3+35/2*d^4/b^3*x^2*c^3+15*d^7/b^7*a^4*x+35*d^3/b^3*c^4*x+1/2/b^8/(b*x+a)^2*a^7*d^7-21/b^8*d^7*ln(b*x+a)*a^5+21/b^3*d^2*ln(b*x+a)*c^5-7/b^8*d^7/(b*x+a)*a^6-7/b^2*d/(b*x+a)*c^6-3/4*d^7/b^4*x^4*a+7/4*d^6/b^3*x^4*c+210/b^5*d^4*ln(b*x+a)*a^2*c^3-105/b^4*d^3*ln(b*x+a)*a*c^4+42/b^7*d^6/(b*x+a)*a^5*c-105/b^6*d^5/(b*x+a)*a^4*c^2+140/b^5*d^4/(b*x+a)*a^3*c^3-105/b^4*d^3/(b*x+a)*a^2*c^4+42/b^3*d^2/(b*x+a)*a*c^5-63/2*d^5/b^4*x^2*a*c^2-70*d^6/b^6*a^3*c*x+126*d^5/b^5*a^2*c^2*x-105*d^4/b^4*a*c^3*x-7/2/b^7/(b*x+a)^2*a^6*c*d^6+21/2/b^6/(b*x+a)^2*a^5*c^2*d^5-35/2/b^5/(b*x+a)^2*a^4*c^3*d^4+35/2/b^4/(b*x+a)^2*a^3*c^4*d^3-21/2/b^3/(b*x+a)^2*a^2*c^5*d^2+7/2/b^2/(b*x+a)^2*a*c^6*d+105/b^7*d^6*ln(b*x+a)*a^4*c-210/b^6*d^5*ln(b*x+a)*a^3*c^2-7*d^6/b^4*x^3*a*c+21*d^6/b^5*x^2*a^2*c-1/2/b/(b*x+a)^2*c^7+1/5*d^7/b^3*x^5","B"
1286,1,622,177,0.014000," ","int((d*x+c)^7/(b*x+a)^4,x)","\frac{d^{7} x^{4}}{4 b^{4}}+\frac{a^{7} d^{7}}{3 \left(b x +a \right)^{3} b^{8}}-\frac{7 a^{6} c \,d^{6}}{3 \left(b x +a \right)^{3} b^{7}}+\frac{7 a^{5} c^{2} d^{5}}{\left(b x +a \right)^{3} b^{6}}-\frac{35 a^{4} c^{3} d^{4}}{3 \left(b x +a \right)^{3} b^{5}}+\frac{35 a^{3} c^{4} d^{3}}{3 \left(b x +a \right)^{3} b^{4}}-\frac{7 a^{2} c^{5} d^{2}}{\left(b x +a \right)^{3} b^{3}}+\frac{7 a \,c^{6} d}{3 \left(b x +a \right)^{3} b^{2}}-\frac{4 a \,d^{7} x^{3}}{3 b^{5}}-\frac{c^{7}}{3 \left(b x +a \right)^{3} b}+\frac{7 c \,d^{6} x^{3}}{3 b^{4}}-\frac{7 a^{6} d^{7}}{2 \left(b x +a \right)^{2} b^{8}}+\frac{21 a^{5} c \,d^{6}}{\left(b x +a \right)^{2} b^{7}}-\frac{105 a^{4} c^{2} d^{5}}{2 \left(b x +a \right)^{2} b^{6}}+\frac{70 a^{3} c^{3} d^{4}}{\left(b x +a \right)^{2} b^{5}}-\frac{105 a^{2} c^{4} d^{3}}{2 \left(b x +a \right)^{2} b^{4}}+\frac{5 a^{2} d^{7} x^{2}}{b^{6}}+\frac{21 a \,c^{5} d^{2}}{\left(b x +a \right)^{2} b^{3}}-\frac{14 a c \,d^{6} x^{2}}{b^{5}}-\frac{7 c^{6} d}{2 \left(b x +a \right)^{2} b^{2}}+\frac{21 c^{2} d^{5} x^{2}}{2 b^{4}}+\frac{21 a^{5} d^{7}}{\left(b x +a \right) b^{8}}-\frac{105 a^{4} c \,d^{6}}{\left(b x +a \right) b^{7}}+\frac{35 a^{4} d^{7} \ln \left(b x +a \right)}{b^{8}}+\frac{210 a^{3} c^{2} d^{5}}{\left(b x +a \right) b^{6}}-\frac{140 a^{3} c \,d^{6} \ln \left(b x +a \right)}{b^{7}}-\frac{20 a^{3} d^{7} x}{b^{7}}-\frac{210 a^{2} c^{3} d^{4}}{\left(b x +a \right) b^{5}}+\frac{210 a^{2} c^{2} d^{5} \ln \left(b x +a \right)}{b^{6}}+\frac{70 a^{2} c \,d^{6} x}{b^{6}}+\frac{105 a \,c^{4} d^{3}}{\left(b x +a \right) b^{4}}-\frac{140 a \,c^{3} d^{4} \ln \left(b x +a \right)}{b^{5}}-\frac{84 a \,c^{2} d^{5} x}{b^{5}}-\frac{21 c^{5} d^{2}}{\left(b x +a \right) b^{3}}+\frac{35 c^{4} d^{3} \ln \left(b x +a \right)}{b^{4}}+\frac{35 c^{3} d^{4} x}{b^{4}}"," ",0,"210/b^6*d^5/(b*x+a)*a^3*c^2-210/b^5*d^4/(b*x+a)*a^2*c^3+105/b^4*d^3/(b*x+a)*a*c^4-7/2/b^8*d^7/(b*x+a)^2*a^6-7/2/b^2*d/(b*x+a)^2*c^6+35/b^8*d^7*ln(b*x+a)*a^4+35/b^4*d^3*ln(b*x+a)*c^4+21/b^8*d^7/(b*x+a)*a^5-21/b^3*d^2/(b*x+a)*c^5-4/3*d^7/b^5*x^3*a+7/3*d^6/b^4*x^3*c+5*d^7/b^6*x^2*a^2+21/2*d^5/b^4*x^2*c^2-20*d^7/b^7*a^3*x+35*d^4/b^4*c^3*x+1/3/b^8/(b*x+a)^3*a^7*d^7+1/4*d^7/b^4*x^4-1/3/b/(b*x+a)^3*c^7-84*d^5/b^5*a*c^2*x-7/3/b^7/(b*x+a)^3*a^6*c*d^6+7/b^6/(b*x+a)^3*a^5*c^2*d^5-35/3/b^5/(b*x+a)^3*a^4*c^3*d^4+35/3/b^4/(b*x+a)^3*a^3*c^4*d^3-7/b^3/(b*x+a)^3*a^2*c^5*d^2+7/3/b^2/(b*x+a)^3*a*c^6*d+21/b^7*d^6/(b*x+a)^2*a^5*c-105/2/b^6*d^5/(b*x+a)^2*a^4*c^2+70/b^5*d^4/(b*x+a)^2*a^3*c^3-105/2/b^4*d^3/(b*x+a)^2*a^2*c^4+21/b^3*d^2/(b*x+a)^2*a*c^5-14*d^6/b^5*x^2*a*c+70*d^6/b^6*a^2*c*x-140/b^7*d^6*ln(b*x+a)*a^3*c+210/b^6*d^5*ln(b*x+a)*a^2*c^2-140/b^5*d^4*ln(b*x+a)*a*c^3-105/b^7*d^6/(b*x+a)*a^4*c","B"
1287,1,641,177,0.015000," ","int((d*x+c)^7/(b*x+a)^5,x)","\frac{a^{7} d^{7}}{4 \left(b x +a \right)^{4} b^{8}}-\frac{7 a^{6} c \,d^{6}}{4 \left(b x +a \right)^{4} b^{7}}+\frac{21 a^{5} c^{2} d^{5}}{4 \left(b x +a \right)^{4} b^{6}}-\frac{35 a^{4} c^{3} d^{4}}{4 \left(b x +a \right)^{4} b^{5}}+\frac{35 a^{3} c^{4} d^{3}}{4 \left(b x +a \right)^{4} b^{4}}-\frac{21 a^{2} c^{5} d^{2}}{4 \left(b x +a \right)^{4} b^{3}}+\frac{7 a \,c^{6} d}{4 \left(b x +a \right)^{4} b^{2}}-\frac{c^{7}}{4 \left(b x +a \right)^{4} b}-\frac{7 a^{6} d^{7}}{3 \left(b x +a \right)^{3} b^{8}}+\frac{14 a^{5} c \,d^{6}}{\left(b x +a \right)^{3} b^{7}}-\frac{35 a^{4} c^{2} d^{5}}{\left(b x +a \right)^{3} b^{6}}+\frac{140 a^{3} c^{3} d^{4}}{3 \left(b x +a \right)^{3} b^{5}}-\frac{35 a^{2} c^{4} d^{3}}{\left(b x +a \right)^{3} b^{4}}+\frac{14 a \,c^{5} d^{2}}{\left(b x +a \right)^{3} b^{3}}-\frac{7 c^{6} d}{3 \left(b x +a \right)^{3} b^{2}}+\frac{d^{7} x^{3}}{3 b^{5}}+\frac{21 a^{5} d^{7}}{2 \left(b x +a \right)^{2} b^{8}}-\frac{105 a^{4} c \,d^{6}}{2 \left(b x +a \right)^{2} b^{7}}+\frac{105 a^{3} c^{2} d^{5}}{\left(b x +a \right)^{2} b^{6}}-\frac{105 a^{2} c^{3} d^{4}}{\left(b x +a \right)^{2} b^{5}}+\frac{105 a \,c^{4} d^{3}}{2 \left(b x +a \right)^{2} b^{4}}-\frac{5 a \,d^{7} x^{2}}{2 b^{6}}-\frac{21 c^{5} d^{2}}{2 \left(b x +a \right)^{2} b^{3}}+\frac{7 c \,d^{6} x^{2}}{2 b^{5}}-\frac{35 a^{4} d^{7}}{\left(b x +a \right) b^{8}}+\frac{140 a^{3} c \,d^{6}}{\left(b x +a \right) b^{7}}-\frac{35 a^{3} d^{7} \ln \left(b x +a \right)}{b^{8}}-\frac{210 a^{2} c^{2} d^{5}}{\left(b x +a \right) b^{6}}+\frac{105 a^{2} c \,d^{6} \ln \left(b x +a \right)}{b^{7}}+\frac{15 a^{2} d^{7} x}{b^{7}}+\frac{140 a \,c^{3} d^{4}}{\left(b x +a \right) b^{5}}-\frac{105 a \,c^{2} d^{5} \ln \left(b x +a \right)}{b^{6}}-\frac{35 a c \,d^{6} x}{b^{6}}-\frac{35 c^{4} d^{3}}{\left(b x +a \right) b^{4}}+\frac{35 c^{3} d^{4} \ln \left(b x +a \right)}{b^{5}}+\frac{21 c^{2} d^{5} x}{b^{5}}"," ",0,"21/2/b^8*d^7/(b*x+a)^2*a^5-21/2/b^3*d^2/(b*x+a)^2*c^5-35/b^8*d^7*ln(b*x+a)*a^3+35/b^5*d^4*ln(b*x+a)*c^3+1/4/b^8/(b*x+a)^4*a^7*d^7-35/b^8*d^7/(b*x+a)*a^4-35/b^4*d^3/(b*x+a)*c^4-5/2*d^7/b^6*x^2*a+7/2*d^6/b^5*x^2*c+15*d^7/b^7*a^2*x+21*d^5/b^5*c^2*x-7/3/b^8*d^7/(b*x+a)^3*a^6-7/3/b^2*d/(b*x+a)^3*c^6+1/3*d^7/b^5*x^3-1/4/b/(b*x+a)^4*c^7-35*d^6/b^6*a*c*x+14/b^7*d^6/(b*x+a)^3*a^5*c-35/b^6*d^5/(b*x+a)^3*a^4*c^2+140/3/b^5*d^4/(b*x+a)^3*a^3*c^3-35/b^4*d^3/(b*x+a)^3*a^2*c^4+105/b^7*d^6*ln(b*x+a)*a^2*c-105/b^6*d^5*ln(b*x+a)*a*c^2-7/4/b^7/(b*x+a)^4*a^6*c*d^6+21/4/b^6/(b*x+a)^4*a^5*c^2*d^5-35/4/b^5/(b*x+a)^4*a^4*c^3*d^4+35/4/b^4/(b*x+a)^4*a^3*c^4*d^3-21/4/b^3/(b*x+a)^4*a^2*c^5*d^2+7/4/b^2/(b*x+a)^4*a*c^6*d+140/b^7*d^6/(b*x+a)*a^3*c-210/b^6*d^5/(b*x+a)*a^2*c^2+140/b^5*d^4/(b*x+a)*a*c^3+14/b^3*d^2/(b*x+a)^3*a*c^5-105/2/b^7*d^6/(b*x+a)^2*a^4*c+105/b^6*d^5/(b*x+a)^2*a^3*c^2-105/b^5*d^4/(b*x+a)^2*a^2*c^3+105/2/b^4*d^3/(b*x+a)^2*a*c^4","B"
1288,1,656,173,0.014000," ","int((d*x+c)^7/(b*x+a)^6,x)","\frac{a^{7} d^{7}}{5 \left(b x +a \right)^{5} b^{8}}-\frac{7 a^{6} c \,d^{6}}{5 \left(b x +a \right)^{5} b^{7}}+\frac{21 a^{5} c^{2} d^{5}}{5 \left(b x +a \right)^{5} b^{6}}-\frac{7 a^{4} c^{3} d^{4}}{\left(b x +a \right)^{5} b^{5}}+\frac{7 a^{3} c^{4} d^{3}}{\left(b x +a \right)^{5} b^{4}}-\frac{21 a^{2} c^{5} d^{2}}{5 \left(b x +a \right)^{5} b^{3}}+\frac{7 a \,c^{6} d}{5 \left(b x +a \right)^{5} b^{2}}-\frac{c^{7}}{5 \left(b x +a \right)^{5} b}-\frac{7 a^{6} d^{7}}{4 \left(b x +a \right)^{4} b^{8}}+\frac{21 a^{5} c \,d^{6}}{2 \left(b x +a \right)^{4} b^{7}}-\frac{105 a^{4} c^{2} d^{5}}{4 \left(b x +a \right)^{4} b^{6}}+\frac{35 a^{3} c^{3} d^{4}}{\left(b x +a \right)^{4} b^{5}}-\frac{105 a^{2} c^{4} d^{3}}{4 \left(b x +a \right)^{4} b^{4}}+\frac{21 a \,c^{5} d^{2}}{2 \left(b x +a \right)^{4} b^{3}}-\frac{7 c^{6} d}{4 \left(b x +a \right)^{4} b^{2}}+\frac{7 a^{5} d^{7}}{\left(b x +a \right)^{3} b^{8}}-\frac{35 a^{4} c \,d^{6}}{\left(b x +a \right)^{3} b^{7}}+\frac{70 a^{3} c^{2} d^{5}}{\left(b x +a \right)^{3} b^{6}}-\frac{70 a^{2} c^{3} d^{4}}{\left(b x +a \right)^{3} b^{5}}+\frac{35 a \,c^{4} d^{3}}{\left(b x +a \right)^{3} b^{4}}-\frac{7 c^{5} d^{2}}{\left(b x +a \right)^{3} b^{3}}-\frac{35 a^{4} d^{7}}{2 \left(b x +a \right)^{2} b^{8}}+\frac{70 a^{3} c \,d^{6}}{\left(b x +a \right)^{2} b^{7}}-\frac{105 a^{2} c^{2} d^{5}}{\left(b x +a \right)^{2} b^{6}}+\frac{70 a \,c^{3} d^{4}}{\left(b x +a \right)^{2} b^{5}}-\frac{35 c^{4} d^{3}}{2 \left(b x +a \right)^{2} b^{4}}+\frac{d^{7} x^{2}}{2 b^{6}}+\frac{35 a^{3} d^{7}}{\left(b x +a \right) b^{8}}-\frac{105 a^{2} c \,d^{6}}{\left(b x +a \right) b^{7}}+\frac{21 a^{2} d^{7} \ln \left(b x +a \right)}{b^{8}}+\frac{105 a \,c^{2} d^{5}}{\left(b x +a \right) b^{6}}-\frac{42 a c \,d^{6} \ln \left(b x +a \right)}{b^{7}}-\frac{6 a \,d^{7} x}{b^{7}}-\frac{35 c^{3} d^{4}}{\left(b x +a \right) b^{5}}+\frac{21 c^{2} d^{5} \ln \left(b x +a \right)}{b^{6}}+\frac{7 c \,d^{6} x}{b^{6}}"," ",0,"-105/b^7*d^6/(b*x+a)*a^2*c+105/b^6*d^5/(b*x+a)*a*c^2+1/2*d^7*x^2/b^6-35/2/b^4*d^3/(b*x+a)^2*c^4-6*d^7/b^7*a*x+7*d^6/b^6*x*c+35/b^8*d^7/(b*x+a)*a^3-35/b^5*d^4/(b*x+a)*c^3+21/b^8*d^7*ln(b*x+a)*a^2+21/b^6*d^5*ln(b*x+a)*c^2-7/4/b^8*d^7/(b*x+a)^4*a^6-7/4/b^2*d/(b*x+a)^4*c^6+7/b^8*d^7/(b*x+a)^3*a^5-7/b^3*d^2/(b*x+a)^3*c^5+1/5/b^8/(b*x+a)^5*a^7*d^7-35/2/b^8*d^7/(b*x+a)^2*a^4+7/b^4/(b*x+a)^5*a^3*c^4*d^3-21/5/b^3/(b*x+a)^5*a^2*c^5*d^2-1/5/b/(b*x+a)^5*c^7-35/b^7*d^6/(b*x+a)^3*a^4*c+70/b^6*d^5/(b*x+a)^3*a^3*c^2-70/b^5*d^4/(b*x+a)^3*a^2*c^3+35/b^4*d^3/(b*x+a)^3*a*c^4-7/5/b^7/(b*x+a)^5*a^6*c*d^6+21/5/b^6/(b*x+a)^5*a^5*c^2*d^5-7/b^5/(b*x+a)^5*a^4*c^3*d^4-105/b^6*d^5/(b*x+a)^2*a^2*c^2+70/b^5*d^4/(b*x+a)^2*a*c^3-42/b^7*d^6*ln(b*x+a)*a*c+21/2/b^7*d^6/(b*x+a)^4*a^5*c+7/5/b^2/(b*x+a)^5*a*c^6*d+70/b^7*d^6/(b*x+a)^2*a^3*c-105/4/b^6*d^5/(b*x+a)^4*a^4*c^2+35/b^5*d^4/(b*x+a)^4*a^3*c^3-105/4/b^4*d^3/(b*x+a)^4*a^2*c^4+21/2/b^3*d^2/(b*x+a)^4*a*c^5","B"
1289,1,666,176,0.013000," ","int((d*x+c)^7/(b*x+a)^7,x)","\frac{a^{7} d^{7}}{6 \left(b x +a \right)^{6} b^{8}}-\frac{7 a^{6} c \,d^{6}}{6 \left(b x +a \right)^{6} b^{7}}+\frac{7 a^{5} c^{2} d^{5}}{2 \left(b x +a \right)^{6} b^{6}}-\frac{35 a^{4} c^{3} d^{4}}{6 \left(b x +a \right)^{6} b^{5}}+\frac{35 a^{3} c^{4} d^{3}}{6 \left(b x +a \right)^{6} b^{4}}-\frac{7 a^{2} c^{5} d^{2}}{2 \left(b x +a \right)^{6} b^{3}}+\frac{7 a \,c^{6} d}{6 \left(b x +a \right)^{6} b^{2}}-\frac{c^{7}}{6 \left(b x +a \right)^{6} b}-\frac{7 a^{6} d^{7}}{5 \left(b x +a \right)^{5} b^{8}}+\frac{42 a^{5} c \,d^{6}}{5 \left(b x +a \right)^{5} b^{7}}-\frac{21 a^{4} c^{2} d^{5}}{\left(b x +a \right)^{5} b^{6}}+\frac{28 a^{3} c^{3} d^{4}}{\left(b x +a \right)^{5} b^{5}}-\frac{21 a^{2} c^{4} d^{3}}{\left(b x +a \right)^{5} b^{4}}+\frac{42 a \,c^{5} d^{2}}{5 \left(b x +a \right)^{5} b^{3}}-\frac{7 c^{6} d}{5 \left(b x +a \right)^{5} b^{2}}+\frac{21 a^{5} d^{7}}{4 \left(b x +a \right)^{4} b^{8}}-\frac{105 a^{4} c \,d^{6}}{4 \left(b x +a \right)^{4} b^{7}}+\frac{105 a^{3} c^{2} d^{5}}{2 \left(b x +a \right)^{4} b^{6}}-\frac{105 a^{2} c^{3} d^{4}}{2 \left(b x +a \right)^{4} b^{5}}+\frac{105 a \,c^{4} d^{3}}{4 \left(b x +a \right)^{4} b^{4}}-\frac{21 c^{5} d^{2}}{4 \left(b x +a \right)^{4} b^{3}}-\frac{35 a^{4} d^{7}}{3 \left(b x +a \right)^{3} b^{8}}+\frac{140 a^{3} c \,d^{6}}{3 \left(b x +a \right)^{3} b^{7}}-\frac{70 a^{2} c^{2} d^{5}}{\left(b x +a \right)^{3} b^{6}}+\frac{140 a \,c^{3} d^{4}}{3 \left(b x +a \right)^{3} b^{5}}-\frac{35 c^{4} d^{3}}{3 \left(b x +a \right)^{3} b^{4}}+\frac{35 a^{3} d^{7}}{2 \left(b x +a \right)^{2} b^{8}}-\frac{105 a^{2} c \,d^{6}}{2 \left(b x +a \right)^{2} b^{7}}+\frac{105 a \,c^{2} d^{5}}{2 \left(b x +a \right)^{2} b^{6}}-\frac{35 c^{3} d^{4}}{2 \left(b x +a \right)^{2} b^{5}}-\frac{21 a^{2} d^{7}}{\left(b x +a \right) b^{8}}+\frac{42 a c \,d^{6}}{\left(b x +a \right) b^{7}}-\frac{7 a \,d^{7} \ln \left(b x +a \right)}{b^{8}}-\frac{21 c^{2} d^{5}}{\left(b x +a \right) b^{6}}+\frac{7 c \,d^{6} \ln \left(b x +a \right)}{b^{7}}+\frac{d^{7} x}{b^{7}}"," ",0,"42/5/b^3*d^2/(b*x+a)^5*a*c^5-105/2/b^7*d^6/(b*x+a)^2*a^2*c+7/b^7*d^6*ln(b*x+a)*c-7/5/b^2*d/(b*x+a)^5*c^6+35/2/b^8*d^7/(b*x+a)^2*a^3-35/2/b^5*d^4/(b*x+a)^2*c^3-7/b^8*d^7*ln(b*x+a)*a+1/6/b^8/(b*x+a)^6*a^7*d^7+21/4/b^8*d^7/(b*x+a)^4*a^5-21/4/b^3*d^2/(b*x+a)^4*c^5-21/b^8*d^7/(b*x+a)*a^2-21/b^6*d^5/(b*x+a)*c^2-35/3/b^8*d^7/(b*x+a)^3*a^4+d^7*x/b^7-35/3/b^4*d^3/(b*x+a)^3*c^4-7/5/b^8*d^7/(b*x+a)^5*a^6+42/b^7*d^6/(b*x+a)*a*c-7/6/b^7/(b*x+a)^6*a^6*c*d^6-1/6/b/(b*x+a)^6*c^7+105/2/b^6*d^5/(b*x+a)^2*a*c^2+140/3/b^7*d^6/(b*x+a)^3*a^3*c-70/b^6*d^5/(b*x+a)^3*a^2*c^2+140/3/b^5*d^4/(b*x+a)^3*a*c^3+35/6/b^4/(b*x+a)^6*a^3*c^4*d^3-7/2/b^3/(b*x+a)^6*a^2*c^5*d^2+7/6/b^2/(b*x+a)^6*a*c^6*d+7/2/b^6/(b*x+a)^6*a^5*c^2*d^5-35/6/b^5/(b*x+a)^6*a^4*c^3*d^4-105/4/b^7*d^6/(b*x+a)^4*a^4*c+105/2/b^6*d^5/(b*x+a)^4*a^3*c^2-105/2/b^5*d^4/(b*x+a)^4*a^2*c^3+105/4/b^4*d^3/(b*x+a)^4*a*c^4+42/5/b^7*d^6/(b*x+a)^5*a^5*c-21/b^6*d^5/(b*x+a)^5*a^4*c^2+28/b^5*d^4/(b*x+a)^5*a^3*c^3-21/b^4*d^3/(b*x+a)^5*a^2*c^4","B"
1290,1,672,182,0.010000," ","int((d*x+c)^7/(b*x+a)^8,x)","\frac{a^{7} d^{7}}{7 \left(b x +a \right)^{7} b^{8}}-\frac{a^{6} c \,d^{6}}{\left(b x +a \right)^{7} b^{7}}+\frac{3 a^{5} c^{2} d^{5}}{\left(b x +a \right)^{7} b^{6}}-\frac{5 a^{4} c^{3} d^{4}}{\left(b x +a \right)^{7} b^{5}}+\frac{5 a^{3} c^{4} d^{3}}{\left(b x +a \right)^{7} b^{4}}-\frac{3 a^{2} c^{5} d^{2}}{\left(b x +a \right)^{7} b^{3}}+\frac{a \,c^{6} d}{\left(b x +a \right)^{7} b^{2}}-\frac{c^{7}}{7 \left(b x +a \right)^{7} b}-\frac{7 a^{6} d^{7}}{6 \left(b x +a \right)^{6} b^{8}}+\frac{7 a^{5} c \,d^{6}}{\left(b x +a \right)^{6} b^{7}}-\frac{35 a^{4} c^{2} d^{5}}{2 \left(b x +a \right)^{6} b^{6}}+\frac{70 a^{3} c^{3} d^{4}}{3 \left(b x +a \right)^{6} b^{5}}-\frac{35 a^{2} c^{4} d^{3}}{2 \left(b x +a \right)^{6} b^{4}}+\frac{7 a \,c^{5} d^{2}}{\left(b x +a \right)^{6} b^{3}}-\frac{7 c^{6} d}{6 \left(b x +a \right)^{6} b^{2}}+\frac{21 a^{5} d^{7}}{5 \left(b x +a \right)^{5} b^{8}}-\frac{21 a^{4} c \,d^{6}}{\left(b x +a \right)^{5} b^{7}}+\frac{42 a^{3} c^{2} d^{5}}{\left(b x +a \right)^{5} b^{6}}-\frac{42 a^{2} c^{3} d^{4}}{\left(b x +a \right)^{5} b^{5}}+\frac{21 a \,c^{4} d^{3}}{\left(b x +a \right)^{5} b^{4}}-\frac{21 c^{5} d^{2}}{5 \left(b x +a \right)^{5} b^{3}}-\frac{35 a^{4} d^{7}}{4 \left(b x +a \right)^{4} b^{8}}+\frac{35 a^{3} c \,d^{6}}{\left(b x +a \right)^{4} b^{7}}-\frac{105 a^{2} c^{2} d^{5}}{2 \left(b x +a \right)^{4} b^{6}}+\frac{35 a \,c^{3} d^{4}}{\left(b x +a \right)^{4} b^{5}}-\frac{35 c^{4} d^{3}}{4 \left(b x +a \right)^{4} b^{4}}+\frac{35 a^{3} d^{7}}{3 \left(b x +a \right)^{3} b^{8}}-\frac{35 a^{2} c \,d^{6}}{\left(b x +a \right)^{3} b^{7}}+\frac{35 a \,c^{2} d^{5}}{\left(b x +a \right)^{3} b^{6}}-\frac{35 c^{3} d^{4}}{3 \left(b x +a \right)^{3} b^{5}}-\frac{21 a^{2} d^{7}}{2 \left(b x +a \right)^{2} b^{8}}+\frac{21 a c \,d^{6}}{\left(b x +a \right)^{2} b^{7}}-\frac{21 c^{2} d^{5}}{2 \left(b x +a \right)^{2} b^{6}}+\frac{7 a \,d^{7}}{\left(b x +a \right) b^{8}}-\frac{7 c \,d^{6}}{\left(b x +a \right) b^{7}}+\frac{d^{7} \ln \left(b x +a \right)}{b^{8}}"," ",0,"7/b^8*d^7/(b*x+a)*a-7/b^7*d^6/(b*x+a)*c+35/3*d^7/b^8/(b*x+a)^3*a^3-35/3*d^4/b^5/(b*x+a)^3*c^3+1/7/b^8/(b*x+a)^7*a^7*d^7+21/5*d^7/b^8/(b*x+a)^5*a^5-21/5*d^2/b^3/(b*x+a)^5*c^5-7/6*d^7/b^8/(b*x+a)^6*a^6-7/6*d/b^2/(b*x+a)^6*c^6-21/2*d^7/b^8/(b*x+a)^2*a^2-21/2*d^5/b^6/(b*x+a)^2*c^2-35/4*d^7/b^8/(b*x+a)^4*a^4-35/4*d^3/b^4/(b*x+a)^4*c^4+d^7*ln(b*x+a)/b^8+42*d^5/b^6/(b*x+a)^5*a^3*c^2-21*d^6/b^7/(b*x+a)^5*a^4*c-1/7/b/(b*x+a)^7*c^7-42*d^4/b^5/(b*x+a)^5*a^2*c^3+1/b^2/(b*x+a)^7*a*c^6*d-35*d^6/b^7/(b*x+a)^3*a^2*c+35*d^5/b^6/(b*x+a)^3*a*c^2-1/b^7/(b*x+a)^7*a^6*c*d^6+3/b^6/(b*x+a)^7*a^5*c^2*d^5-5/b^5/(b*x+a)^7*a^4*c^3*d^4+5/b^4/(b*x+a)^7*a^3*c^4*d^3-3/b^3/(b*x+a)^7*a^2*c^5*d^2+21*d^3/b^4/(b*x+a)^5*a*c^4+21*d^6/b^7/(b*x+a)^2*a*c+35*d^6/b^7/(b*x+a)^4*a^3*c-105/2*d^5/b^6/(b*x+a)^4*a^2*c^2+35*d^4/b^5/(b*x+a)^4*a*c^3+7*d^6/b^7/(b*x+a)^6*a^5*c-35/2*d^5/b^6/(b*x+a)^6*a^4*c^2+70/3*d^4/b^5/(b*x+a)^6*a^3*c^3-35/2*d^3/b^4/(b*x+a)^6*a^2*c^4+7*d^2/b^3/(b*x+a)^6*a*c^5","B"
1291,1,464,26,0.008000," ","int((d*x+c)^7/(b*x+a)^9,x)","-\frac{d^{7}}{\left(b x +a \right) b^{8}}+\frac{7 \left(a d -b c \right) d^{6}}{2 \left(b x +a \right)^{2} b^{8}}-\frac{7 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) d^{5}}{\left(b x +a \right)^{3} b^{8}}+\frac{35 \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) d^{4}}{4 \left(b x +a \right)^{4} b^{8}}-\frac{7 \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) d^{3}}{\left(b x +a \right)^{5} b^{8}}+\frac{7 \left(a^{5} d^{5}-5 a^{4} b c \,d^{4}+10 a^{3} b^{2} c^{2} d^{3}-10 a^{2} b^{3} c^{3} d^{2}+5 a \,b^{4} c^{4} d -b^{5} c^{5}\right) d^{2}}{2 \left(b x +a \right)^{6} b^{8}}-\frac{\left(a^{6} d^{6}-6 a^{5} b c \,d^{5}+15 a^{4} b^{2} c^{2} d^{4}-20 a^{3} b^{3} c^{3} d^{3}+15 a^{2} b^{4} c^{4} d^{2}-6 a \,b^{5} c^{5} d +b^{6} c^{6}\right) d}{\left(b x +a \right)^{7} b^{8}}-\frac{-a^{7} d^{7}+7 a^{6} b c \,d^{6}-21 a^{5} b^{2} c^{2} d^{5}+35 a^{4} c^{3} d^{4} b^{3}-35 a^{3} b^{4} c^{4} d^{3}+21 a^{2} c^{5} d^{2} b^{5}-7 a \,b^{6} c^{6} d +b^{7} c^{7}}{8 \left(b x +a \right)^{8} b^{8}}"," ",0,"-1/8*(-a^7*d^7+7*a^6*b*c*d^6-21*a^5*b^2*c^2*d^5+35*a^4*b^3*c^3*d^4-35*a^3*b^4*c^4*d^3+21*a^2*b^5*c^5*d^2-7*a*b^6*c^6*d+b^7*c^7)/b^8/(b*x+a)^8-7*d^5*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^8/(b*x+a)^3-d*(a^6*d^6-6*a^5*b*c*d^5+15*a^4*b^2*c^2*d^4-20*a^3*b^3*c^3*d^3+15*a^2*b^4*c^4*d^2-6*a*b^5*c^5*d+b^6*c^6)/b^8/(b*x+a)^7-7*d^3*(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)/b^8/(b*x+a)^5+7/2*d^6*(a*d-b*c)/b^8/(b*x+a)^2+35/4*d^4*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/b^8/(b*x+a)^4-d^7/b^8/(b*x+a)+7/2*d^2*(a^5*d^5-5*a^4*b*c*d^4+10*a^3*b^2*c^2*d^3-10*a^2*b^3*c^3*d^2+5*a*b^4*c^4*d-b^5*c^5)/b^8/(b*x+a)^6","B"
1292,1,464,54,0.009000," ","int((d*x+c)^7/(b*x+a)^10,x)","-\frac{d^{7}}{2 \left(b x +a \right)^{2} b^{8}}+\frac{7 \left(a d -b c \right) d^{6}}{3 \left(b x +a \right)^{3} b^{8}}-\frac{21 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) d^{5}}{4 \left(b x +a \right)^{4} b^{8}}+\frac{7 \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) d^{4}}{\left(b x +a \right)^{5} b^{8}}-\frac{35 \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) d^{3}}{6 \left(b x +a \right)^{6} b^{8}}+\frac{3 \left(a^{5} d^{5}-5 a^{4} b c \,d^{4}+10 a^{3} b^{2} c^{2} d^{3}-10 a^{2} b^{3} c^{3} d^{2}+5 a \,b^{4} c^{4} d -b^{5} c^{5}\right) d^{2}}{\left(b x +a \right)^{7} b^{8}}-\frac{7 \left(a^{6} d^{6}-6 a^{5} b c \,d^{5}+15 a^{4} b^{2} c^{2} d^{4}-20 a^{3} b^{3} c^{3} d^{3}+15 a^{2} b^{4} c^{4} d^{2}-6 a \,b^{5} c^{5} d +b^{6} c^{6}\right) d}{8 \left(b x +a \right)^{8} b^{8}}-\frac{-a^{7} d^{7}+7 a^{6} b c \,d^{6}-21 a^{5} b^{2} c^{2} d^{5}+35 a^{4} c^{3} d^{4} b^{3}-35 a^{3} b^{4} c^{4} d^{3}+21 a^{2} c^{5} d^{2} b^{5}-7 a \,b^{6} c^{6} d +b^{7} c^{7}}{9 \left(b x +a \right)^{9} b^{8}}"," ",0,"-7/8*d*(a^6*d^6-6*a^5*b*c*d^5+15*a^4*b^2*c^2*d^4-20*a^3*b^3*c^3*d^3+15*a^2*b^4*c^4*d^2-6*a*b^5*c^5*d+b^6*c^6)/b^8/(b*x+a)^8+7/3*d^6*(a*d-b*c)/b^8/(b*x+a)^3+3*d^2*(a^5*d^5-5*a^4*b*c*d^4+10*a^3*b^2*c^2*d^3-10*a^2*b^3*c^3*d^2+5*a*b^4*c^4*d-b^5*c^5)/b^8/(b*x+a)^7-1/9*(-a^7*d^7+7*a^6*b*c*d^6-21*a^5*b^2*c^2*d^5+35*a^4*b^3*c^3*d^4-35*a^3*b^4*c^4*d^3+21*a^2*b^5*c^5*d^2-7*a*b^6*c^6*d+b^7*c^7)/b^8/(b*x+a)^9+7*d^4*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/b^8/(b*x+a)^5-1/2*d^7/b^8/(b*x+a)^2-21/4*d^5*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^8/(b*x+a)^4-35/6*d^3*(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)/b^8/(b*x+a)^6","B"
1293,1,464,83,0.008000," ","int((d*x+c)^7/(b*x+a)^11,x)","-\frac{d^{7}}{3 \left(b x +a \right)^{3} b^{8}}+\frac{7 \left(a d -b c \right) d^{6}}{4 \left(b x +a \right)^{4} b^{8}}-\frac{21 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) d^{5}}{5 \left(b x +a \right)^{5} b^{8}}+\frac{35 \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) d^{4}}{6 \left(b x +a \right)^{6} b^{8}}-\frac{5 \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) d^{3}}{\left(b x +a \right)^{7} b^{8}}+\frac{21 \left(a^{5} d^{5}-5 a^{4} b c \,d^{4}+10 a^{3} b^{2} c^{2} d^{3}-10 a^{2} b^{3} c^{3} d^{2}+5 a \,b^{4} c^{4} d -b^{5} c^{5}\right) d^{2}}{8 \left(b x +a \right)^{8} b^{8}}-\frac{7 \left(a^{6} d^{6}-6 a^{5} b c \,d^{5}+15 a^{4} b^{2} c^{2} d^{4}-20 a^{3} b^{3} c^{3} d^{3}+15 a^{2} b^{4} c^{4} d^{2}-6 a \,b^{5} c^{5} d +b^{6} c^{6}\right) d}{9 \left(b x +a \right)^{9} b^{8}}-\frac{-a^{7} d^{7}+7 a^{6} b c \,d^{6}-21 a^{5} b^{2} c^{2} d^{5}+35 a^{4} c^{3} d^{4} b^{3}-35 a^{3} b^{4} c^{4} d^{3}+21 a^{2} c^{5} d^{2} b^{5}-7 a \,b^{6} c^{6} d +b^{7} c^{7}}{10 \left(b x +a \right)^{10} b^{8}}"," ",0,"21/8*d^2*(a^5*d^5-5*a^4*b*c*d^4+10*a^3*b^2*c^2*d^3-10*a^2*b^3*c^3*d^2+5*a*b^4*c^4*d-b^5*c^5)/b^8/(b*x+a)^8-1/3*d^7/b^8/(b*x+a)^3-5*d^3*(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)/b^8/(b*x+a)^7-7/9*d*(a^6*d^6-6*a^5*b*c*d^5+15*a^4*b^2*c^2*d^4-20*a^3*b^3*c^3*d^3+15*a^2*b^4*c^4*d^2-6*a*b^5*c^5*d+b^6*c^6)/b^8/(b*x+a)^9-21/5*d^5*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^8/(b*x+a)^5+7/4*d^6*(a*d-b*c)/b^8/(b*x+a)^4+35/6*d^4*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/b^8/(b*x+a)^6-1/10*(-a^7*d^7+7*a^6*b*c*d^6-21*a^5*b^2*c^2*d^5+35*a^4*b^3*c^3*d^4-35*a^3*b^4*c^4*d^3+21*a^2*b^5*c^5*d^2-7*a*b^6*c^6*d+b^7*c^7)/b^8/(b*x+a)^10","B"
1294,1,464,112,0.005000," ","int((d*x+c)^7/(b*x+a)^12,x)","-\frac{d^{7}}{4 \left(b x +a \right)^{4} b^{8}}+\frac{7 \left(a d -b c \right) d^{6}}{5 \left(b x +a \right)^{5} b^{8}}-\frac{7 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) d^{5}}{2 \left(b x +a \right)^{6} b^{8}}+\frac{5 \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) d^{4}}{\left(b x +a \right)^{7} b^{8}}-\frac{35 \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) d^{3}}{8 \left(b x +a \right)^{8} b^{8}}+\frac{7 \left(a^{5} d^{5}-5 a^{4} b c \,d^{4}+10 a^{3} b^{2} c^{2} d^{3}-10 a^{2} b^{3} c^{3} d^{2}+5 a \,b^{4} c^{4} d -b^{5} c^{5}\right) d^{2}}{3 \left(b x +a \right)^{9} b^{8}}-\frac{7 \left(a^{6} d^{6}-6 a^{5} b c \,d^{5}+15 a^{4} b^{2} c^{2} d^{4}-20 a^{3} b^{3} c^{3} d^{3}+15 a^{2} b^{4} c^{4} d^{2}-6 a \,b^{5} c^{5} d +b^{6} c^{6}\right) d}{10 \left(b x +a \right)^{10} b^{8}}-\frac{-a^{7} d^{7}+7 a^{6} b c \,d^{6}-21 a^{5} b^{2} c^{2} d^{5}+35 a^{4} c^{3} d^{4} b^{3}-35 a^{3} b^{4} c^{4} d^{3}+21 a^{2} c^{5} d^{2} b^{5}-7 a \,b^{6} c^{6} d +b^{7} c^{7}}{11 \left(b x +a \right)^{11} b^{8}}"," ",0,"-35/8*d^3*(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)/b^8/(b*x+a)^8+5*d^4*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/b^8/(b*x+a)^7+7/3*d^2*(a^5*d^5-5*a^4*b*c*d^4+10*a^3*b^2*c^2*d^3-10*a^2*b^3*c^3*d^2+5*a*b^4*c^4*d-b^5*c^5)/b^8/(b*x+a)^9+7/5*d^6*(a*d-b*c)/b^8/(b*x+a)^5-1/4*d^7/b^8/(b*x+a)^4-1/11*(-a^7*d^7+7*a^6*b*c*d^6-21*a^5*b^2*c^2*d^5+35*a^4*b^3*c^3*d^4-35*a^3*b^4*c^4*d^3+21*a^2*b^5*c^5*d^2-7*a*b^6*c^6*d+b^7*c^7)/b^8/(b*x+a)^11-7/2*d^5*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^8/(b*x+a)^6-7/10*d*(a^6*d^6-6*a^5*b*c*d^5+15*a^4*b^2*c^2*d^4-20*a^3*b^3*c^3*d^3+15*a^2*b^4*c^4*d^2-6*a*b^5*c^5*d+b^6*c^6)/b^8/(b*x+a)^10","B"
1295,1,464,141,0.008000," ","int((d*x+c)^7/(b*x+a)^13,x)","-\frac{d^{7}}{5 \left(b x +a \right)^{5} b^{8}}+\frac{7 \left(a d -b c \right) d^{6}}{6 \left(b x +a \right)^{6} b^{8}}-\frac{3 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) d^{5}}{\left(b x +a \right)^{7} b^{8}}+\frac{35 \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) d^{4}}{8 \left(b x +a \right)^{8} b^{8}}-\frac{35 \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) d^{3}}{9 \left(b x +a \right)^{9} b^{8}}+\frac{21 \left(a^{5} d^{5}-5 a^{4} b c \,d^{4}+10 a^{3} b^{2} c^{2} d^{3}-10 a^{2} b^{3} c^{3} d^{2}+5 a \,b^{4} c^{4} d -b^{5} c^{5}\right) d^{2}}{10 \left(b x +a \right)^{10} b^{8}}-\frac{7 \left(a^{6} d^{6}-6 a^{5} b c \,d^{5}+15 a^{4} b^{2} c^{2} d^{4}-20 a^{3} b^{3} c^{3} d^{3}+15 a^{2} b^{4} c^{4} d^{2}-6 a \,b^{5} c^{5} d +b^{6} c^{6}\right) d}{11 \left(b x +a \right)^{11} b^{8}}-\frac{-a^{7} d^{7}+7 a^{6} b c \,d^{6}-21 a^{5} b^{2} c^{2} d^{5}+35 a^{4} c^{3} d^{4} b^{3}-35 a^{3} b^{4} c^{4} d^{3}+21 a^{2} c^{5} d^{2} b^{5}-7 a \,b^{6} c^{6} d +b^{7} c^{7}}{12 \left(b x +a \right)^{12} b^{8}}"," ",0,"35/8*d^4*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/b^8/(b*x+a)^8-3*d^5*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^8/(b*x+a)^7-35/9*d^3*(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)/b^8/(b*x+a)^9-1/5*d^7/b^8/(b*x+a)^5-7/11*d*(a^6*d^6-6*a^5*b*c*d^5+15*a^4*b^2*c^2*d^4-20*a^3*b^3*c^3*d^3+15*a^2*b^4*c^4*d^2-6*a*b^5*c^5*d+b^6*c^6)/b^8/(b*x+a)^11-1/12*(-a^7*d^7+7*a^6*b*c*d^6-21*a^5*b^2*c^2*d^5+35*a^4*b^3*c^3*d^4-35*a^3*b^4*c^4*d^3+21*a^2*b^5*c^5*d^2-7*a*b^6*c^6*d+b^7*c^7)/b^8/(b*x+a)^12+7/6*d^6*(a*d-b*c)/b^8/(b*x+a)^6+21/10*d^2*(a^5*d^5-5*a^4*b*c*d^4+10*a^3*b^2*c^2*d^3-10*a^2*b^3*c^3*d^2+5*a*b^4*c^4*d-b^5*c^5)/b^8/(b*x+a)^10","B"
1296,1,463,184,0.009000," ","int((d*x+c)^7/(b*x+a)^14,x)","-\frac{d^{7}}{6 \left(b x +a \right)^{6} b^{8}}+\frac{\left(a d -b c \right) d^{6}}{\left(b x +a \right)^{7} b^{8}}-\frac{21 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) d^{5}}{8 \left(b x +a \right)^{8} b^{8}}+\frac{35 \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) d^{4}}{9 \left(b x +a \right)^{9} b^{8}}-\frac{7 \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) d^{3}}{2 \left(b x +a \right)^{10} b^{8}}+\frac{21 \left(a^{5} d^{5}-5 a^{4} b c \,d^{4}+10 a^{3} b^{2} c^{2} d^{3}-10 a^{2} b^{3} c^{3} d^{2}+5 a \,b^{4} c^{4} d -b^{5} c^{5}\right) d^{2}}{11 \left(b x +a \right)^{11} b^{8}}-\frac{7 \left(a^{6} d^{6}-6 a^{5} b c \,d^{5}+15 a^{4} b^{2} c^{2} d^{4}-20 a^{3} b^{3} c^{3} d^{3}+15 a^{2} b^{4} c^{4} d^{2}-6 a \,b^{5} c^{5} d +b^{6} c^{6}\right) d}{12 \left(b x +a \right)^{12} b^{8}}-\frac{-a^{7} d^{7}+7 a^{6} b c \,d^{6}-21 a^{5} b^{2} c^{2} d^{5}+35 a^{4} c^{3} d^{4} b^{3}-35 a^{3} b^{4} c^{4} d^{3}+21 a^{2} c^{5} d^{2} b^{5}-7 a \,b^{6} c^{6} d +b^{7} c^{7}}{13 \left(b x +a \right)^{13} b^{8}}"," ",0,"-21/8*d^5*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^8/(b*x+a)^8-1/13*(-a^7*d^7+7*a^6*b*c*d^6-21*a^5*b^2*c^2*d^5+35*a^4*b^3*c^3*d^4-35*a^3*b^4*c^4*d^3+21*a^2*b^5*c^5*d^2-7*a*b^6*c^6*d+b^7*c^7)/b^8/(b*x+a)^13+d^6*(a*d-b*c)/b^8/(b*x+a)^7+35/9*d^4*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/b^8/(b*x+a)^9+21/11*d^2*(a^5*d^5-5*a^4*b*c*d^4+10*a^3*b^2*c^2*d^3-10*a^2*b^3*c^3*d^2+5*a*b^4*c^4*d-b^5*c^5)/b^8/(b*x+a)^11-7/12*d*(a^6*d^6-6*a^5*b*c*d^5+15*a^4*b^2*c^2*d^4-20*a^3*b^3*c^3*d^3+15*a^2*b^4*c^4*d^2-6*a*b^5*c^5*d+b^6*c^6)/b^8/(b*x+a)^12-1/6*d^7/b^8/(b*x+a)^6-7/2*d^3*(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)/b^8/(b*x+a)^10","B"
1297,1,464,184,0.008000," ","int((d*x+c)^7/(b*x+a)^15,x)","-\frac{d^{7}}{7 \left(b x +a \right)^{7} b^{8}}+\frac{7 \left(a d -b c \right) d^{6}}{8 \left(b x +a \right)^{8} b^{8}}-\frac{7 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) d^{5}}{3 \left(b x +a \right)^{9} b^{8}}+\frac{7 \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) d^{4}}{2 \left(b x +a \right)^{10} b^{8}}-\frac{35 \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) d^{3}}{11 \left(b x +a \right)^{11} b^{8}}+\frac{7 \left(a^{5} d^{5}-5 a^{4} b c \,d^{4}+10 a^{3} b^{2} c^{2} d^{3}-10 a^{2} b^{3} c^{3} d^{2}+5 a \,b^{4} c^{4} d -b^{5} c^{5}\right) d^{2}}{4 \left(b x +a \right)^{12} b^{8}}-\frac{7 \left(a^{6} d^{6}-6 a^{5} b c \,d^{5}+15 a^{4} b^{2} c^{2} d^{4}-20 a^{3} b^{3} c^{3} d^{3}+15 a^{2} b^{4} c^{4} d^{2}-6 a \,b^{5} c^{5} d +b^{6} c^{6}\right) d}{13 \left(b x +a \right)^{13} b^{8}}-\frac{-a^{7} d^{7}+7 a^{6} b c \,d^{6}-21 a^{5} b^{2} c^{2} d^{5}+35 a^{4} c^{3} d^{4} b^{3}-35 a^{3} b^{4} c^{4} d^{3}+21 a^{2} c^{5} d^{2} b^{5}-7 a \,b^{6} c^{6} d +b^{7} c^{7}}{14 \left(b x +a \right)^{14} b^{8}}"," ",0,"7/8*d^6*(a*d-b*c)/b^8/(b*x+a)^8-7/13*d*(a^6*d^6-6*a^5*b*c*d^5+15*a^4*b^2*c^2*d^4-20*a^3*b^3*c^3*d^3+15*a^2*b^4*c^4*d^2-6*a*b^5*c^5*d+b^6*c^6)/b^8/(b*x+a)^13-1/7*d^7/b^8/(b*x+a)^7-7/3*d^5*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^8/(b*x+a)^9-35/11*d^3*(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)/b^8/(b*x+a)^11+7/4*d^2*(a^5*d^5-5*a^4*b*c*d^4+10*a^3*b^2*c^2*d^3-10*a^2*b^3*c^3*d^2+5*a*b^4*c^4*d-b^5*c^5)/b^8/(b*x+a)^12+7/2*d^4*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/b^8/(b*x+a)^10-1/14*(-a^7*d^7+7*a^6*b*c*d^6-21*a^5*b^2*c^2*d^5+35*a^4*b^3*c^3*d^4-35*a^3*b^4*c^4*d^3+21*a^2*b^5*c^5*d^2-7*a*b^6*c^6*d+b^7*c^7)/b^8/(b*x+a)^14","B"
1298,1,464,184,0.006000," ","int((d*x+c)^7/(b*x+a)^16,x)","-\frac{d^{7}}{8 \left(b x +a \right)^{8} b^{8}}+\frac{7 \left(a d -b c \right) d^{6}}{9 \left(b x +a \right)^{9} b^{8}}-\frac{21 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) d^{5}}{10 \left(b x +a \right)^{10} b^{8}}+\frac{35 \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) d^{4}}{11 \left(b x +a \right)^{11} b^{8}}-\frac{35 \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) d^{3}}{12 \left(b x +a \right)^{12} b^{8}}+\frac{21 \left(a^{5} d^{5}-5 a^{4} b c \,d^{4}+10 a^{3} b^{2} c^{2} d^{3}-10 a^{2} b^{3} c^{3} d^{2}+5 a \,b^{4} c^{4} d -b^{5} c^{5}\right) d^{2}}{13 \left(b x +a \right)^{13} b^{8}}-\frac{\left(a^{6} d^{6}-6 a^{5} b c \,d^{5}+15 a^{4} b^{2} c^{2} d^{4}-20 a^{3} b^{3} c^{3} d^{3}+15 a^{2} b^{4} c^{4} d^{2}-6 a \,b^{5} c^{5} d +b^{6} c^{6}\right) d}{2 \left(b x +a \right)^{14} b^{8}}-\frac{-a^{7} d^{7}+7 a^{6} b c \,d^{6}-21 a^{5} b^{2} c^{2} d^{5}+35 a^{4} c^{3} d^{4} b^{3}-35 a^{3} b^{4} c^{4} d^{3}+21 a^{2} c^{5} d^{2} b^{5}-7 a \,b^{6} c^{6} d +b^{7} c^{7}}{15 \left(b x +a \right)^{15} b^{8}}"," ",0,"-1/8*d^7/b^8/(b*x+a)^8+21/13*d^2*(a^5*d^5-5*a^4*b*c*d^4+10*a^3*b^2*c^2*d^3-10*a^2*b^3*c^3*d^2+5*a*b^4*c^4*d-b^5*c^5)/b^8/(b*x+a)^13+7/9*d^6*(a*d-b*c)/b^8/(b*x+a)^9+35/11*d^4*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/b^8/(b*x+a)^11-1/15*(-a^7*d^7+7*a^6*b*c*d^6-21*a^5*b^2*c^2*d^5+35*a^4*b^3*c^3*d^4-35*a^3*b^4*c^4*d^3+21*a^2*b^5*c^5*d^2-7*a*b^6*c^6*d+b^7*c^7)/b^8/(b*x+a)^15-35/12*d^3*(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)/b^8/(b*x+a)^12-21/10*d^5*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^8/(b*x+a)^10-1/2*d*(a^6*d^6-6*a^5*b*c*d^5+15*a^4*b^2*c^2*d^4-20*a^3*b^3*c^3*d^3+15*a^2*b^4*c^4*d^2-6*a*b^5*c^5*d+b^6*c^6)/b^8/(b*x+a)^14","B"
1299,1,1891,259,0.003000," ","int((b*x+a)^12*(d*x+c)^10,x)","\frac{b^{12} d^{10} x^{23}}{23}+a^{12} c^{10} x +\frac{\left(12 a \,b^{11} d^{10}+10 b^{12} c \,d^{9}\right) x^{22}}{22}+\frac{\left(66 a^{2} b^{10} d^{10}+120 a \,b^{11} c \,d^{9}+45 b^{12} c^{2} d^{8}\right) x^{21}}{21}+\frac{\left(220 a^{3} b^{9} d^{10}+660 a^{2} b^{10} c \,d^{9}+540 a \,b^{11} c^{2} d^{8}+120 b^{12} c^{3} d^{7}\right) x^{20}}{20}+\frac{\left(495 a^{4} b^{8} d^{10}+2200 a^{3} b^{9} c \,d^{9}+2970 a^{2} b^{10} c^{2} d^{8}+1440 a \,b^{11} c^{3} d^{7}+210 b^{12} c^{4} d^{6}\right) x^{19}}{19}+\frac{\left(792 a^{5} b^{7} d^{10}+4950 a^{4} b^{8} c \,d^{9}+9900 a^{3} b^{9} c^{2} d^{8}+7920 a^{2} b^{10} c^{3} d^{7}+2520 a \,b^{11} c^{4} d^{6}+252 b^{12} c^{5} d^{5}\right) x^{18}}{18}+\frac{\left(924 a^{6} b^{6} d^{10}+7920 a^{5} b^{7} c \,d^{9}+22275 a^{4} b^{8} c^{2} d^{8}+26400 a^{3} b^{9} c^{3} d^{7}+13860 a^{2} b^{10} c^{4} d^{6}+3024 a \,b^{11} c^{5} d^{5}+210 b^{12} c^{6} d^{4}\right) x^{17}}{17}+\frac{\left(792 a^{7} b^{5} d^{10}+9240 a^{6} b^{6} c \,d^{9}+35640 a^{5} b^{7} c^{2} d^{8}+59400 a^{4} b^{8} c^{3} d^{7}+46200 a^{3} b^{9} c^{4} d^{6}+16632 a^{2} b^{10} c^{5} d^{5}+2520 a \,b^{11} c^{6} d^{4}+120 b^{12} c^{7} d^{3}\right) x^{16}}{16}+\frac{\left(495 a^{8} b^{4} d^{10}+7920 a^{7} b^{5} c \,d^{9}+41580 a^{6} b^{6} c^{2} d^{8}+95040 a^{5} b^{7} c^{3} d^{7}+103950 a^{4} b^{8} c^{4} d^{6}+55440 a^{3} b^{9} c^{5} d^{5}+13860 a^{2} b^{10} c^{6} d^{4}+1440 a \,b^{11} c^{7} d^{3}+45 b^{12} c^{8} d^{2}\right) x^{15}}{15}+\frac{\left(220 a^{9} b^{3} d^{10}+4950 a^{8} b^{4} c \,d^{9}+35640 a^{7} b^{5} c^{2} d^{8}+110880 a^{6} b^{6} c^{3} d^{7}+166320 a^{5} b^{7} c^{4} d^{6}+124740 a^{4} b^{8} c^{5} d^{5}+46200 a^{3} b^{9} c^{6} d^{4}+7920 a^{2} b^{10} c^{7} d^{3}+540 a \,b^{11} c^{8} d^{2}+10 b^{12} c^{9} d \right) x^{14}}{14}+\frac{\left(66 a^{10} b^{2} d^{10}+2200 a^{9} b^{3} c \,d^{9}+22275 a^{8} b^{4} c^{2} d^{8}+95040 a^{7} b^{5} c^{3} d^{7}+194040 a^{6} b^{6} c^{4} d^{6}+199584 a^{5} b^{7} c^{5} d^{5}+103950 a^{4} b^{8} c^{6} d^{4}+26400 a^{3} b^{9} c^{7} d^{3}+2970 a^{2} b^{10} c^{8} d^{2}+120 a \,b^{11} c^{9} d +b^{12} c^{10}\right) x^{13}}{13}+\frac{\left(12 a^{11} b \,d^{10}+660 a^{10} b^{2} c \,d^{9}+9900 a^{9} b^{3} c^{2} d^{8}+59400 a^{8} b^{4} c^{3} d^{7}+166320 a^{7} b^{5} c^{4} d^{6}+232848 a^{6} b^{6} c^{5} d^{5}+166320 a^{5} b^{7} c^{6} d^{4}+59400 a^{4} b^{8} c^{7} d^{3}+9900 a^{3} b^{9} c^{8} d^{2}+660 a^{2} b^{10} c^{9} d +12 a \,b^{11} c^{10}\right) x^{12}}{12}+\frac{\left(a^{12} d^{10}+120 a^{11} b c \,d^{9}+2970 a^{10} b^{2} c^{2} d^{8}+26400 a^{9} b^{3} c^{3} d^{7}+103950 a^{8} b^{4} c^{4} d^{6}+199584 a^{7} b^{5} c^{5} d^{5}+194040 a^{6} b^{6} c^{6} d^{4}+95040 a^{5} b^{7} c^{7} d^{3}+22275 a^{4} b^{8} c^{8} d^{2}+2200 a^{3} b^{9} c^{9} d +66 a^{2} b^{10} c^{10}\right) x^{11}}{11}+\frac{\left(10 a^{12} c \,d^{9}+540 a^{11} b \,c^{2} d^{8}+7920 a^{10} b^{2} c^{3} d^{7}+46200 a^{9} b^{3} c^{4} d^{6}+124740 a^{8} b^{4} c^{5} d^{5}+166320 a^{7} b^{5} c^{6} d^{4}+110880 a^{6} b^{6} c^{7} d^{3}+35640 a^{5} b^{7} c^{8} d^{2}+4950 a^{4} b^{8} c^{9} d +220 a^{3} b^{9} c^{10}\right) x^{10}}{10}+\frac{\left(45 a^{12} c^{2} d^{8}+1440 a^{11} b \,c^{3} d^{7}+13860 a^{10} b^{2} c^{4} d^{6}+55440 a^{9} b^{3} c^{5} d^{5}+103950 a^{8} b^{4} c^{6} d^{4}+95040 a^{7} b^{5} c^{7} d^{3}+41580 a^{6} b^{6} c^{8} d^{2}+7920 a^{5} b^{7} c^{9} d +495 a^{4} b^{8} c^{10}\right) x^{9}}{9}+\frac{\left(120 a^{12} c^{3} d^{7}+2520 a^{11} b \,c^{4} d^{6}+16632 a^{10} b^{2} c^{5} d^{5}+46200 a^{9} b^{3} c^{6} d^{4}+59400 a^{8} b^{4} c^{7} d^{3}+35640 a^{7} b^{5} c^{8} d^{2}+9240 a^{6} b^{6} c^{9} d +792 a^{5} b^{7} c^{10}\right) x^{8}}{8}+\frac{\left(210 a^{12} c^{4} d^{6}+3024 a^{11} b \,c^{5} d^{5}+13860 a^{10} b^{2} c^{6} d^{4}+26400 a^{9} b^{3} c^{7} d^{3}+22275 a^{8} b^{4} c^{8} d^{2}+7920 a^{7} b^{5} c^{9} d +924 a^{6} b^{6} c^{10}\right) x^{7}}{7}+\frac{\left(252 a^{12} c^{5} d^{5}+2520 a^{11} b \,c^{6} d^{4}+7920 a^{10} b^{2} c^{7} d^{3}+9900 a^{9} b^{3} c^{8} d^{2}+4950 a^{8} b^{4} c^{9} d +792 a^{7} b^{5} c^{10}\right) x^{6}}{6}+\frac{\left(210 a^{12} c^{6} d^{4}+1440 a^{11} b \,c^{7} d^{3}+2970 a^{10} b^{2} c^{8} d^{2}+2200 a^{9} b^{3} c^{9} d +495 a^{8} b^{4} c^{10}\right) x^{5}}{5}+\frac{\left(120 a^{12} c^{7} d^{3}+540 a^{11} b \,c^{8} d^{2}+660 a^{10} b^{2} c^{9} d +220 a^{9} b^{3} c^{10}\right) x^{4}}{4}+\frac{\left(45 a^{12} c^{8} d^{2}+120 a^{11} b \,c^{9} d +66 a^{10} b^{2} c^{10}\right) x^{3}}{3}+\frac{\left(10 a^{12} c^{9} d +12 a^{11} b \,c^{10}\right) x^{2}}{2}"," ",0,"1/23*b^12*d^10*x^23+1/22*(12*a*b^11*d^10+10*b^12*c*d^9)*x^22+1/21*(66*a^2*b^10*d^10+120*a*b^11*c*d^9+45*b^12*c^2*d^8)*x^21+1/20*(220*a^3*b^9*d^10+660*a^2*b^10*c*d^9+540*a*b^11*c^2*d^8+120*b^12*c^3*d^7)*x^20+1/19*(495*a^4*b^8*d^10+2200*a^3*b^9*c*d^9+2970*a^2*b^10*c^2*d^8+1440*a*b^11*c^3*d^7+210*b^12*c^4*d^6)*x^19+1/18*(792*a^5*b^7*d^10+4950*a^4*b^8*c*d^9+9900*a^3*b^9*c^2*d^8+7920*a^2*b^10*c^3*d^7+2520*a*b^11*c^4*d^6+252*b^12*c^5*d^5)*x^18+1/17*(924*a^6*b^6*d^10+7920*a^5*b^7*c*d^9+22275*a^4*b^8*c^2*d^8+26400*a^3*b^9*c^3*d^7+13860*a^2*b^10*c^4*d^6+3024*a*b^11*c^5*d^5+210*b^12*c^6*d^4)*x^17+1/16*(792*a^7*b^5*d^10+9240*a^6*b^6*c*d^9+35640*a^5*b^7*c^2*d^8+59400*a^4*b^8*c^3*d^7+46200*a^3*b^9*c^4*d^6+16632*a^2*b^10*c^5*d^5+2520*a*b^11*c^6*d^4+120*b^12*c^7*d^3)*x^16+1/15*(495*a^8*b^4*d^10+7920*a^7*b^5*c*d^9+41580*a^6*b^6*c^2*d^8+95040*a^5*b^7*c^3*d^7+103950*a^4*b^8*c^4*d^6+55440*a^3*b^9*c^5*d^5+13860*a^2*b^10*c^6*d^4+1440*a*b^11*c^7*d^3+45*b^12*c^8*d^2)*x^15+1/14*(220*a^9*b^3*d^10+4950*a^8*b^4*c*d^9+35640*a^7*b^5*c^2*d^8+110880*a^6*b^6*c^3*d^7+166320*a^5*b^7*c^4*d^6+124740*a^4*b^8*c^5*d^5+46200*a^3*b^9*c^6*d^4+7920*a^2*b^10*c^7*d^3+540*a*b^11*c^8*d^2+10*b^12*c^9*d)*x^14+1/13*(66*a^10*b^2*d^10+2200*a^9*b^3*c*d^9+22275*a^8*b^4*c^2*d^8+95040*a^7*b^5*c^3*d^7+194040*a^6*b^6*c^4*d^6+199584*a^5*b^7*c^5*d^5+103950*a^4*b^8*c^6*d^4+26400*a^3*b^9*c^7*d^3+2970*a^2*b^10*c^8*d^2+120*a*b^11*c^9*d+b^12*c^10)*x^13+1/12*(12*a^11*b*d^10+660*a^10*b^2*c*d^9+9900*a^9*b^3*c^2*d^8+59400*a^8*b^4*c^3*d^7+166320*a^7*b^5*c^4*d^6+232848*a^6*b^6*c^5*d^5+166320*a^5*b^7*c^6*d^4+59400*a^4*b^8*c^7*d^3+9900*a^3*b^9*c^8*d^2+660*a^2*b^10*c^9*d+12*a*b^11*c^10)*x^12+1/11*(a^12*d^10+120*a^11*b*c*d^9+2970*a^10*b^2*c^2*d^8+26400*a^9*b^3*c^3*d^7+103950*a^8*b^4*c^4*d^6+199584*a^7*b^5*c^5*d^5+194040*a^6*b^6*c^6*d^4+95040*a^5*b^7*c^7*d^3+22275*a^4*b^8*c^8*d^2+2200*a^3*b^9*c^9*d+66*a^2*b^10*c^10)*x^11+1/10*(10*a^12*c*d^9+540*a^11*b*c^2*d^8+7920*a^10*b^2*c^3*d^7+46200*a^9*b^3*c^4*d^6+124740*a^8*b^4*c^5*d^5+166320*a^7*b^5*c^6*d^4+110880*a^6*b^6*c^7*d^3+35640*a^5*b^7*c^8*d^2+4950*a^4*b^8*c^9*d+220*a^3*b^9*c^10)*x^10+1/9*(45*a^12*c^2*d^8+1440*a^11*b*c^3*d^7+13860*a^10*b^2*c^4*d^6+55440*a^9*b^3*c^5*d^5+103950*a^8*b^4*c^6*d^4+95040*a^7*b^5*c^7*d^3+41580*a^6*b^6*c^8*d^2+7920*a^5*b^7*c^9*d+495*a^4*b^8*c^10)*x^9+1/8*(120*a^12*c^3*d^7+2520*a^11*b*c^4*d^6+16632*a^10*b^2*c^5*d^5+46200*a^9*b^3*c^6*d^4+59400*a^8*b^4*c^7*d^3+35640*a^7*b^5*c^8*d^2+9240*a^6*b^6*c^9*d+792*a^5*b^7*c^10)*x^8+1/7*(210*a^12*c^4*d^6+3024*a^11*b*c^5*d^5+13860*a^10*b^2*c^6*d^4+26400*a^9*b^3*c^7*d^3+22275*a^8*b^4*c^8*d^2+7920*a^7*b^5*c^9*d+924*a^6*b^6*c^10)*x^7+1/6*(252*a^12*c^5*d^5+2520*a^11*b*c^6*d^4+7920*a^10*b^2*c^7*d^3+9900*a^9*b^3*c^8*d^2+4950*a^8*b^4*c^9*d+792*a^7*b^5*c^10)*x^6+1/5*(210*a^12*c^6*d^4+1440*a^11*b*c^7*d^3+2970*a^10*b^2*c^8*d^2+2200*a^9*b^3*c^9*d+495*a^8*b^4*c^10)*x^5+1/4*(120*a^12*c^7*d^3+540*a^11*b*c^8*d^2+660*a^10*b^2*c^9*d+220*a^9*b^3*c^10)*x^4+1/3*(45*a^12*c^8*d^2+120*a^11*b*c^9*d+66*a^10*b^2*c^10)*x^3+1/2*(10*a^12*c^9*d+12*a^11*b*c^10)*x^2+a^12*c^10*x","B"
1300,1,1741,259,0.004000," ","int((b*x+a)^11*(d*x+c)^10,x)","\frac{b^{11} d^{10} x^{22}}{22}+a^{11} c^{10} x +\frac{\left(11 a \,b^{10} d^{10}+10 b^{11} c \,d^{9}\right) x^{21}}{21}+\frac{\left(55 a^{2} b^{9} d^{10}+110 a \,b^{10} c \,d^{9}+45 b^{11} c^{2} d^{8}\right) x^{20}}{20}+\frac{\left(165 a^{3} b^{8} d^{10}+550 a^{2} b^{9} c \,d^{9}+495 a \,b^{10} c^{2} d^{8}+120 b^{11} c^{3} d^{7}\right) x^{19}}{19}+\frac{\left(330 a^{4} b^{7} d^{10}+1650 a^{3} b^{8} c \,d^{9}+2475 a^{2} b^{9} c^{2} d^{8}+1320 a \,b^{10} c^{3} d^{7}+210 b^{11} c^{4} d^{6}\right) x^{18}}{18}+\frac{\left(462 a^{5} b^{6} d^{10}+3300 a^{4} b^{7} c \,d^{9}+7425 a^{3} b^{8} c^{2} d^{8}+6600 a^{2} b^{9} c^{3} d^{7}+2310 a \,b^{10} c^{4} d^{6}+252 b^{11} c^{5} d^{5}\right) x^{17}}{17}+\frac{\left(462 a^{6} b^{5} d^{10}+4620 a^{5} b^{6} c \,d^{9}+14850 a^{4} b^{7} c^{2} d^{8}+19800 a^{3} b^{8} c^{3} d^{7}+11550 a^{2} b^{9} c^{4} d^{6}+2772 a \,b^{10} c^{5} d^{5}+210 b^{11} c^{6} d^{4}\right) x^{16}}{16}+\frac{\left(330 a^{7} b^{4} d^{10}+4620 a^{6} b^{5} c \,d^{9}+20790 a^{5} b^{6} c^{2} d^{8}+39600 a^{4} b^{7} c^{3} d^{7}+34650 a^{3} b^{8} c^{4} d^{6}+13860 a^{2} b^{9} c^{5} d^{5}+2310 a \,b^{10} c^{6} d^{4}+120 b^{11} c^{7} d^{3}\right) x^{15}}{15}+\frac{\left(165 a^{8} b^{3} d^{10}+3300 a^{7} b^{4} c \,d^{9}+20790 a^{6} b^{5} c^{2} d^{8}+55440 a^{5} b^{6} c^{3} d^{7}+69300 a^{4} b^{7} c^{4} d^{6}+41580 a^{3} b^{8} c^{5} d^{5}+11550 a^{2} b^{9} c^{6} d^{4}+1320 a \,b^{10} c^{7} d^{3}+45 b^{11} c^{8} d^{2}\right) x^{14}}{14}+\frac{\left(55 a^{9} b^{2} d^{10}+1650 a^{8} b^{3} c \,d^{9}+14850 a^{7} b^{4} c^{2} d^{8}+55440 a^{6} b^{5} c^{3} d^{7}+97020 a^{5} b^{6} c^{4} d^{6}+83160 a^{4} b^{7} c^{5} d^{5}+34650 a^{3} b^{8} c^{6} d^{4}+6600 a^{2} b^{9} c^{7} d^{3}+495 a \,b^{10} c^{8} d^{2}+10 b^{11} c^{9} d \right) x^{13}}{13}+\frac{\left(11 a^{10} b \,d^{10}+550 a^{9} b^{2} c \,d^{9}+7425 a^{8} b^{3} c^{2} d^{8}+39600 a^{7} b^{4} c^{3} d^{7}+97020 a^{6} b^{5} c^{4} d^{6}+116424 a^{5} b^{6} c^{5} d^{5}+69300 a^{4} b^{7} c^{6} d^{4}+19800 a^{3} b^{8} c^{7} d^{3}+2475 a^{2} b^{9} c^{8} d^{2}+110 a \,b^{10} c^{9} d +b^{11} c^{10}\right) x^{12}}{12}+\frac{\left(a^{11} d^{10}+110 a^{10} b c \,d^{9}+2475 a^{9} b^{2} c^{2} d^{8}+19800 a^{8} b^{3} c^{3} d^{7}+69300 a^{7} b^{4} c^{4} d^{6}+116424 a^{6} b^{5} c^{5} d^{5}+97020 a^{5} b^{6} c^{6} d^{4}+39600 a^{4} b^{7} c^{7} d^{3}+7425 a^{3} b^{8} c^{8} d^{2}+550 a^{2} b^{9} c^{9} d +11 a \,b^{10} c^{10}\right) x^{11}}{11}+\frac{\left(10 a^{11} c \,d^{9}+495 a^{10} b \,c^{2} d^{8}+6600 a^{9} b^{2} c^{3} d^{7}+34650 a^{8} b^{3} c^{4} d^{6}+83160 a^{7} b^{4} c^{5} d^{5}+97020 a^{6} b^{5} c^{6} d^{4}+55440 a^{5} b^{6} c^{7} d^{3}+14850 a^{4} b^{7} c^{8} d^{2}+1650 a^{3} b^{8} c^{9} d +55 a^{2} b^{9} c^{10}\right) x^{10}}{10}+\frac{\left(45 a^{11} c^{2} d^{8}+1320 a^{10} b \,c^{3} d^{7}+11550 a^{9} b^{2} c^{4} d^{6}+41580 a^{8} b^{3} c^{5} d^{5}+69300 a^{7} b^{4} c^{6} d^{4}+55440 a^{6} b^{5} c^{7} d^{3}+20790 a^{5} b^{6} c^{8} d^{2}+3300 a^{4} b^{7} c^{9} d +165 a^{3} b^{8} c^{10}\right) x^{9}}{9}+\frac{\left(120 a^{11} c^{3} d^{7}+2310 a^{10} b \,c^{4} d^{6}+13860 a^{9} b^{2} c^{5} d^{5}+34650 a^{8} b^{3} c^{6} d^{4}+39600 a^{7} b^{4} c^{7} d^{3}+20790 a^{6} b^{5} c^{8} d^{2}+4620 a^{5} b^{6} c^{9} d +330 a^{4} b^{7} c^{10}\right) x^{8}}{8}+\frac{\left(210 a^{11} c^{4} d^{6}+2772 a^{10} b \,c^{5} d^{5}+11550 a^{9} b^{2} c^{6} d^{4}+19800 a^{8} b^{3} c^{7} d^{3}+14850 a^{7} b^{4} c^{8} d^{2}+4620 a^{6} b^{5} c^{9} d +462 a^{5} b^{6} c^{10}\right) x^{7}}{7}+\frac{\left(252 a^{11} c^{5} d^{5}+2310 a^{10} b \,c^{6} d^{4}+6600 a^{9} b^{2} c^{7} d^{3}+7425 a^{8} b^{3} c^{8} d^{2}+3300 a^{7} b^{4} c^{9} d +462 a^{6} b^{5} c^{10}\right) x^{6}}{6}+\frac{\left(210 a^{11} c^{6} d^{4}+1320 a^{10} b \,c^{7} d^{3}+2475 a^{9} b^{2} c^{8} d^{2}+1650 a^{8} b^{3} c^{9} d +330 a^{7} b^{4} c^{10}\right) x^{5}}{5}+\frac{\left(120 a^{11} c^{7} d^{3}+495 a^{10} b \,c^{8} d^{2}+550 a^{9} b^{2} c^{9} d +165 a^{8} b^{3} c^{10}\right) x^{4}}{4}+\frac{\left(45 a^{11} c^{8} d^{2}+110 a^{10} b \,c^{9} d +55 a^{9} b^{2} c^{10}\right) x^{3}}{3}+\frac{\left(10 a^{11} c^{9} d +11 a^{10} b \,c^{10}\right) x^{2}}{2}"," ",0,"1/22*b^11*d^10*x^22+1/21*(11*a*b^10*d^10+10*b^11*c*d^9)*x^21+1/20*(55*a^2*b^9*d^10+110*a*b^10*c*d^9+45*b^11*c^2*d^8)*x^20+1/19*(165*a^3*b^8*d^10+550*a^2*b^9*c*d^9+495*a*b^10*c^2*d^8+120*b^11*c^3*d^7)*x^19+1/18*(330*a^4*b^7*d^10+1650*a^3*b^8*c*d^9+2475*a^2*b^9*c^2*d^8+1320*a*b^10*c^3*d^7+210*b^11*c^4*d^6)*x^18+1/17*(462*a^5*b^6*d^10+3300*a^4*b^7*c*d^9+7425*a^3*b^8*c^2*d^8+6600*a^2*b^9*c^3*d^7+2310*a*b^10*c^4*d^6+252*b^11*c^5*d^5)*x^17+1/16*(462*a^6*b^5*d^10+4620*a^5*b^6*c*d^9+14850*a^4*b^7*c^2*d^8+19800*a^3*b^8*c^3*d^7+11550*a^2*b^9*c^4*d^6+2772*a*b^10*c^5*d^5+210*b^11*c^6*d^4)*x^16+1/15*(330*a^7*b^4*d^10+4620*a^6*b^5*c*d^9+20790*a^5*b^6*c^2*d^8+39600*a^4*b^7*c^3*d^7+34650*a^3*b^8*c^4*d^6+13860*a^2*b^9*c^5*d^5+2310*a*b^10*c^6*d^4+120*b^11*c^7*d^3)*x^15+1/14*(165*a^8*b^3*d^10+3300*a^7*b^4*c*d^9+20790*a^6*b^5*c^2*d^8+55440*a^5*b^6*c^3*d^7+69300*a^4*b^7*c^4*d^6+41580*a^3*b^8*c^5*d^5+11550*a^2*b^9*c^6*d^4+1320*a*b^10*c^7*d^3+45*b^11*c^8*d^2)*x^14+1/13*(55*a^9*b^2*d^10+1650*a^8*b^3*c*d^9+14850*a^7*b^4*c^2*d^8+55440*a^6*b^5*c^3*d^7+97020*a^5*b^6*c^4*d^6+83160*a^4*b^7*c^5*d^5+34650*a^3*b^8*c^6*d^4+6600*a^2*b^9*c^7*d^3+495*a*b^10*c^8*d^2+10*b^11*c^9*d)*x^13+1/12*(11*a^10*b*d^10+550*a^9*b^2*c*d^9+7425*a^8*b^3*c^2*d^8+39600*a^7*b^4*c^3*d^7+97020*a^6*b^5*c^4*d^6+116424*a^5*b^6*c^5*d^5+69300*a^4*b^7*c^6*d^4+19800*a^3*b^8*c^7*d^3+2475*a^2*b^9*c^8*d^2+110*a*b^10*c^9*d+b^11*c^10)*x^12+1/11*(a^11*d^10+110*a^10*b*c*d^9+2475*a^9*b^2*c^2*d^8+19800*a^8*b^3*c^3*d^7+69300*a^7*b^4*c^4*d^6+116424*a^6*b^5*c^5*d^5+97020*a^5*b^6*c^6*d^4+39600*a^4*b^7*c^7*d^3+7425*a^3*b^8*c^8*d^2+550*a^2*b^9*c^9*d+11*a*b^10*c^10)*x^11+1/10*(10*a^11*c*d^9+495*a^10*b*c^2*d^8+6600*a^9*b^2*c^3*d^7+34650*a^8*b^3*c^4*d^6+83160*a^7*b^4*c^5*d^5+97020*a^6*b^5*c^6*d^4+55440*a^5*b^6*c^7*d^3+14850*a^4*b^7*c^8*d^2+1650*a^3*b^8*c^9*d+55*a^2*b^9*c^10)*x^10+1/9*(45*a^11*c^2*d^8+1320*a^10*b*c^3*d^7+11550*a^9*b^2*c^4*d^6+41580*a^8*b^3*c^5*d^5+69300*a^7*b^4*c^6*d^4+55440*a^6*b^5*c^7*d^3+20790*a^5*b^6*c^8*d^2+3300*a^4*b^7*c^9*d+165*a^3*b^8*c^10)*x^9+1/8*(120*a^11*c^3*d^7+2310*a^10*b*c^4*d^6+13860*a^9*b^2*c^5*d^5+34650*a^8*b^3*c^6*d^4+39600*a^7*b^4*c^7*d^3+20790*a^6*b^5*c^8*d^2+4620*a^5*b^6*c^9*d+330*a^4*b^7*c^10)*x^8+1/7*(210*a^11*c^4*d^6+2772*a^10*b*c^5*d^5+11550*a^9*b^2*c^6*d^4+19800*a^8*b^3*c^7*d^3+14850*a^7*b^4*c^8*d^2+4620*a^6*b^5*c^9*d+462*a^5*b^6*c^10)*x^7+1/6*(252*a^11*c^5*d^5+2310*a^10*b*c^6*d^4+6600*a^9*b^2*c^7*d^3+7425*a^8*b^3*c^8*d^2+3300*a^7*b^4*c^9*d+462*a^6*b^5*c^10)*x^6+1/5*(210*a^11*c^6*d^4+1320*a^10*b*c^7*d^3+2475*a^9*b^2*c^8*d^2+1650*a^8*b^3*c^9*d+330*a^7*b^4*c^10)*x^5+1/4*(120*a^11*c^7*d^3+495*a^10*b*c^8*d^2+550*a^9*b^2*c^9*d+165*a^8*b^3*c^10)*x^4+1/3*(45*a^11*c^8*d^2+110*a^10*b*c^9*d+55*a^9*b^2*c^10)*x^3+1/2*(10*a^11*c^9*d+11*a^10*b*c^10)*x^2+a^11*c^10*x","B"
1301,1,1591,259,0.002000," ","int((b*x+a)^10*(d*x+c)^10,x)","\frac{b^{10} d^{10} x^{21}}{21}+a^{10} c^{10} x +\frac{\left(10 a \,b^{9} d^{10}+10 b^{10} c \,d^{9}\right) x^{20}}{20}+\frac{\left(45 a^{2} b^{8} d^{10}+100 a \,b^{9} c \,d^{9}+45 b^{10} c^{2} d^{8}\right) x^{19}}{19}+\frac{\left(120 a^{3} b^{7} d^{10}+450 a^{2} b^{8} c \,d^{9}+450 a \,b^{9} c^{2} d^{8}+120 b^{10} c^{3} d^{7}\right) x^{18}}{18}+\frac{\left(210 a^{4} b^{6} d^{10}+1200 a^{3} b^{7} c \,d^{9}+2025 a^{2} b^{8} c^{2} d^{8}+1200 a \,b^{9} c^{3} d^{7}+210 b^{10} c^{4} d^{6}\right) x^{17}}{17}+\frac{\left(252 a^{5} b^{5} d^{10}+2100 a^{4} b^{6} c \,d^{9}+5400 a^{3} b^{7} c^{2} d^{8}+5400 a^{2} b^{8} c^{3} d^{7}+2100 a \,b^{9} c^{4} d^{6}+252 b^{10} c^{5} d^{5}\right) x^{16}}{16}+\frac{\left(210 a^{6} b^{4} d^{10}+2520 a^{5} b^{5} c \,d^{9}+9450 a^{4} b^{6} c^{2} d^{8}+14400 a^{3} b^{7} c^{3} d^{7}+9450 a^{2} b^{8} c^{4} d^{6}+2520 a \,b^{9} c^{5} d^{5}+210 b^{10} c^{6} d^{4}\right) x^{15}}{15}+\frac{\left(120 a^{7} b^{3} d^{10}+2100 a^{6} b^{4} c \,d^{9}+11340 a^{5} b^{5} c^{2} d^{8}+25200 a^{4} b^{6} c^{3} d^{7}+25200 a^{3} b^{7} c^{4} d^{6}+11340 a^{2} b^{8} c^{5} d^{5}+2100 a \,b^{9} c^{6} d^{4}+120 b^{10} c^{7} d^{3}\right) x^{14}}{14}+\frac{\left(45 a^{8} b^{2} d^{10}+1200 a^{7} b^{3} c \,d^{9}+9450 a^{6} b^{4} c^{2} d^{8}+30240 a^{5} b^{5} c^{3} d^{7}+44100 a^{4} b^{6} c^{4} d^{6}+30240 a^{3} b^{7} c^{5} d^{5}+9450 a^{2} b^{8} c^{6} d^{4}+1200 a \,b^{9} c^{7} d^{3}+45 b^{10} c^{8} d^{2}\right) x^{13}}{13}+\frac{\left(10 a^{9} b \,d^{10}+450 a^{8} b^{2} c \,d^{9}+5400 a^{7} b^{3} c^{2} d^{8}+25200 a^{6} b^{4} c^{3} d^{7}+52920 a^{5} b^{5} c^{4} d^{6}+52920 a^{4} b^{6} c^{5} d^{5}+25200 a^{3} b^{7} c^{6} d^{4}+5400 a^{2} b^{8} c^{7} d^{3}+450 a \,b^{9} c^{8} d^{2}+10 b^{10} c^{9} d \right) x^{12}}{12}+\frac{\left(a^{10} d^{10}+100 a^{9} b c \,d^{9}+2025 a^{8} b^{2} c^{2} d^{8}+14400 a^{7} b^{3} c^{3} d^{7}+44100 a^{6} b^{4} c^{4} d^{6}+63504 a^{5} b^{5} c^{5} d^{5}+44100 a^{4} b^{6} c^{6} d^{4}+14400 a^{3} b^{7} c^{7} d^{3}+2025 a^{2} b^{8} c^{8} d^{2}+100 a \,b^{9} c^{9} d +b^{10} c^{10}\right) x^{11}}{11}+\frac{\left(10 a^{10} c \,d^{9}+450 a^{9} b \,c^{2} d^{8}+5400 a^{8} b^{2} c^{3} d^{7}+25200 a^{7} b^{3} c^{4} d^{6}+52920 a^{6} b^{4} c^{5} d^{5}+52920 a^{5} b^{5} c^{6} d^{4}+25200 a^{4} b^{6} c^{7} d^{3}+5400 a^{3} b^{7} c^{8} d^{2}+450 a^{2} b^{8} c^{9} d +10 a \,b^{9} c^{10}\right) x^{10}}{10}+\frac{\left(45 a^{10} c^{2} d^{8}+1200 a^{9} b \,c^{3} d^{7}+9450 a^{8} b^{2} c^{4} d^{6}+30240 a^{7} b^{3} c^{5} d^{5}+44100 a^{6} b^{4} c^{6} d^{4}+30240 a^{5} b^{5} c^{7} d^{3}+9450 a^{4} b^{6} c^{8} d^{2}+1200 a^{3} b^{7} c^{9} d +45 a^{2} b^{8} c^{10}\right) x^{9}}{9}+\frac{\left(120 a^{10} c^{3} d^{7}+2100 a^{9} b \,c^{4} d^{6}+11340 a^{8} b^{2} c^{5} d^{5}+25200 a^{7} b^{3} c^{6} d^{4}+25200 a^{6} b^{4} c^{7} d^{3}+11340 a^{5} b^{5} c^{8} d^{2}+2100 a^{4} b^{6} c^{9} d +120 a^{3} b^{7} c^{10}\right) x^{8}}{8}+\frac{\left(210 a^{10} c^{4} d^{6}+2520 a^{9} b \,c^{5} d^{5}+9450 a^{8} b^{2} c^{6} d^{4}+14400 a^{7} b^{3} c^{7} d^{3}+9450 a^{6} b^{4} c^{8} d^{2}+2520 a^{5} b^{5} c^{9} d +210 a^{4} b^{6} c^{10}\right) x^{7}}{7}+\frac{\left(252 a^{10} c^{5} d^{5}+2100 a^{9} b \,c^{6} d^{4}+5400 a^{8} b^{2} c^{7} d^{3}+5400 a^{7} b^{3} c^{8} d^{2}+2100 a^{6} b^{4} c^{9} d +252 a^{5} b^{5} c^{10}\right) x^{6}}{6}+\frac{\left(210 a^{10} c^{6} d^{4}+1200 a^{9} b \,c^{7} d^{3}+2025 a^{8} b^{2} c^{8} d^{2}+1200 a^{7} b^{3} c^{9} d +210 a^{6} b^{4} c^{10}\right) x^{5}}{5}+\frac{\left(120 a^{10} c^{7} d^{3}+450 a^{9} b \,c^{8} d^{2}+450 a^{8} b^{2} c^{9} d +120 a^{7} b^{3} c^{10}\right) x^{4}}{4}+\frac{\left(45 a^{10} c^{8} d^{2}+100 a^{9} b \,c^{9} d +45 a^{8} b^{2} c^{10}\right) x^{3}}{3}+\frac{\left(10 a^{10} c^{9} d +10 a^{9} b \,c^{10}\right) x^{2}}{2}"," ",0,"1/21*b^10*d^10*x^21+1/20*(10*a*b^9*d^10+10*b^10*c*d^9)*x^20+1/19*(45*a^2*b^8*d^10+100*a*b^9*c*d^9+45*b^10*c^2*d^8)*x^19+1/18*(120*a^3*b^7*d^10+450*a^2*b^8*c*d^9+450*a*b^9*c^2*d^8+120*b^10*c^3*d^7)*x^18+1/17*(210*a^4*b^6*d^10+1200*a^3*b^7*c*d^9+2025*a^2*b^8*c^2*d^8+1200*a*b^9*c^3*d^7+210*b^10*c^4*d^6)*x^17+1/16*(252*a^5*b^5*d^10+2100*a^4*b^6*c*d^9+5400*a^3*b^7*c^2*d^8+5400*a^2*b^8*c^3*d^7+2100*a*b^9*c^4*d^6+252*b^10*c^5*d^5)*x^16+1/15*(210*a^6*b^4*d^10+2520*a^5*b^5*c*d^9+9450*a^4*b^6*c^2*d^8+14400*a^3*b^7*c^3*d^7+9450*a^2*b^8*c^4*d^6+2520*a*b^9*c^5*d^5+210*b^10*c^6*d^4)*x^15+1/14*(120*a^7*b^3*d^10+2100*a^6*b^4*c*d^9+11340*a^5*b^5*c^2*d^8+25200*a^4*b^6*c^3*d^7+25200*a^3*b^7*c^4*d^6+11340*a^2*b^8*c^5*d^5+2100*a*b^9*c^6*d^4+120*b^10*c^7*d^3)*x^14+1/13*(45*a^8*b^2*d^10+1200*a^7*b^3*c*d^9+9450*a^6*b^4*c^2*d^8+30240*a^5*b^5*c^3*d^7+44100*a^4*b^6*c^4*d^6+30240*a^3*b^7*c^5*d^5+9450*a^2*b^8*c^6*d^4+1200*a*b^9*c^7*d^3+45*b^10*c^8*d^2)*x^13+1/12*(10*a^9*b*d^10+450*a^8*b^2*c*d^9+5400*a^7*b^3*c^2*d^8+25200*a^6*b^4*c^3*d^7+52920*a^5*b^5*c^4*d^6+52920*a^4*b^6*c^5*d^5+25200*a^3*b^7*c^6*d^4+5400*a^2*b^8*c^7*d^3+450*a*b^9*c^8*d^2+10*b^10*c^9*d)*x^12+1/11*(a^10*d^10+100*a^9*b*c*d^9+2025*a^8*b^2*c^2*d^8+14400*a^7*b^3*c^3*d^7+44100*a^6*b^4*c^4*d^6+63504*a^5*b^5*c^5*d^5+44100*a^4*b^6*c^6*d^4+14400*a^3*b^7*c^7*d^3+2025*a^2*b^8*c^8*d^2+100*a*b^9*c^9*d+b^10*c^10)*x^11+1/10*(10*a^10*c*d^9+450*a^9*b*c^2*d^8+5400*a^8*b^2*c^3*d^7+25200*a^7*b^3*c^4*d^6+52920*a^6*b^4*c^5*d^5+52920*a^5*b^5*c^6*d^4+25200*a^4*b^6*c^7*d^3+5400*a^3*b^7*c^8*d^2+450*a^2*b^8*c^9*d+10*a*b^9*c^10)*x^10+1/9*(45*a^10*c^2*d^8+1200*a^9*b*c^3*d^7+9450*a^8*b^2*c^4*d^6+30240*a^7*b^3*c^5*d^5+44100*a^6*b^4*c^6*d^4+30240*a^5*b^5*c^7*d^3+9450*a^4*b^6*c^8*d^2+1200*a^3*b^7*c^9*d+45*a^2*b^8*c^10)*x^9+1/8*(120*a^10*c^3*d^7+2100*a^9*b*c^4*d^6+11340*a^8*b^2*c^5*d^5+25200*a^7*b^3*c^6*d^4+25200*a^6*b^4*c^7*d^3+11340*a^5*b^5*c^8*d^2+2100*a^4*b^6*c^9*d+120*a^3*b^7*c^10)*x^8+1/7*(210*a^10*c^4*d^6+2520*a^9*b*c^5*d^5+9450*a^8*b^2*c^6*d^4+14400*a^7*b^3*c^7*d^3+9450*a^6*b^4*c^8*d^2+2520*a^5*b^5*c^9*d+210*a^4*b^6*c^10)*x^7+1/6*(252*a^10*c^5*d^5+2100*a^9*b*c^6*d^4+5400*a^8*b^2*c^7*d^3+5400*a^7*b^3*c^8*d^2+2100*a^6*b^4*c^9*d+252*a^5*b^5*c^10)*x^6+1/5*(210*a^10*c^6*d^4+1200*a^9*b*c^7*d^3+2025*a^8*b^2*c^8*d^2+1200*a^7*b^3*c^9*d+210*a^6*b^4*c^10)*x^5+1/4*(120*a^10*c^7*d^3+450*a^9*b*c^8*d^2+450*a^8*b^2*c^9*d+120*a^7*b^3*c^10)*x^4+1/3*(45*a^10*c^8*d^2+100*a^9*b*c^9*d+45*a^8*b^2*c^10)*x^3+1/2*(10*a^10*c^9*d+10*a^9*b*c^10)*x^2+a^10*c^10*x","B"
1302,1,1441,234,0.003000," ","int((b*x+a)^9*(d*x+c)^10,x)","\frac{b^{9} d^{10} x^{20}}{20}+a^{9} c^{10} x +\frac{\left(9 a \,b^{8} d^{10}+10 b^{9} c \,d^{9}\right) x^{19}}{19}+\frac{\left(36 a^{2} b^{7} d^{10}+90 a \,b^{8} c \,d^{9}+45 b^{9} c^{2} d^{8}\right) x^{18}}{18}+\frac{\left(84 a^{3} b^{6} d^{10}+360 a^{2} b^{7} c \,d^{9}+405 a \,b^{8} c^{2} d^{8}+120 b^{9} c^{3} d^{7}\right) x^{17}}{17}+\frac{\left(126 a^{4} b^{5} d^{10}+840 a^{3} b^{6} c \,d^{9}+1620 a^{2} b^{7} c^{2} d^{8}+1080 a \,b^{8} c^{3} d^{7}+210 b^{9} c^{4} d^{6}\right) x^{16}}{16}+\frac{\left(126 a^{5} b^{4} d^{10}+1260 a^{4} b^{5} c \,d^{9}+3780 a^{3} b^{6} c^{2} d^{8}+4320 a^{2} b^{7} c^{3} d^{7}+1890 a \,b^{8} c^{4} d^{6}+252 b^{9} c^{5} d^{5}\right) x^{15}}{15}+\frac{\left(84 a^{6} b^{3} d^{10}+1260 a^{5} b^{4} c \,d^{9}+5670 a^{4} b^{5} c^{2} d^{8}+10080 a^{3} b^{6} c^{3} d^{7}+7560 a^{2} b^{7} c^{4} d^{6}+2268 a \,b^{8} c^{5} d^{5}+210 b^{9} c^{6} d^{4}\right) x^{14}}{14}+\frac{\left(36 a^{7} b^{2} d^{10}+840 a^{6} b^{3} c \,d^{9}+5670 a^{5} b^{4} c^{2} d^{8}+15120 a^{4} b^{5} c^{3} d^{7}+17640 a^{3} b^{6} c^{4} d^{6}+9072 a^{2} b^{7} c^{5} d^{5}+1890 a \,b^{8} c^{6} d^{4}+120 b^{9} c^{7} d^{3}\right) x^{13}}{13}+\frac{\left(9 a^{8} b \,d^{10}+360 a^{7} b^{2} c \,d^{9}+3780 a^{6} b^{3} c^{2} d^{8}+15120 a^{5} b^{4} c^{3} d^{7}+26460 a^{4} b^{5} c^{4} d^{6}+21168 a^{3} b^{6} c^{5} d^{5}+7560 a^{2} b^{7} c^{6} d^{4}+1080 a \,b^{8} c^{7} d^{3}+45 b^{9} c^{8} d^{2}\right) x^{12}}{12}+\frac{\left(a^{9} d^{10}+90 a^{8} b c \,d^{9}+1620 a^{7} b^{2} c^{2} d^{8}+10080 a^{6} b^{3} c^{3} d^{7}+26460 a^{5} b^{4} c^{4} d^{6}+31752 a^{4} b^{5} c^{5} d^{5}+17640 a^{3} b^{6} c^{6} d^{4}+4320 a^{2} b^{7} c^{7} d^{3}+405 a \,b^{8} c^{8} d^{2}+10 b^{9} c^{9} d \right) x^{11}}{11}+\frac{\left(10 a^{9} c \,d^{9}+405 a^{8} b \,c^{2} d^{8}+4320 a^{7} b^{2} c^{3} d^{7}+17640 a^{6} b^{3} c^{4} d^{6}+31752 a^{5} b^{4} c^{5} d^{5}+26460 a^{4} b^{5} c^{6} d^{4}+10080 a^{3} b^{6} c^{7} d^{3}+1620 a^{2} b^{7} c^{8} d^{2}+90 a \,b^{8} c^{9} d +b^{9} c^{10}\right) x^{10}}{10}+\frac{\left(45 a^{9} c^{2} d^{8}+1080 a^{8} b \,c^{3} d^{7}+7560 a^{7} b^{2} c^{4} d^{6}+21168 a^{6} b^{3} c^{5} d^{5}+26460 a^{5} b^{4} c^{6} d^{4}+15120 a^{4} b^{5} c^{7} d^{3}+3780 a^{3} b^{6} c^{8} d^{2}+360 a^{2} b^{7} c^{9} d +9 a \,b^{8} c^{10}\right) x^{9}}{9}+\frac{\left(120 a^{9} c^{3} d^{7}+1890 a^{8} b \,c^{4} d^{6}+9072 a^{7} b^{2} c^{5} d^{5}+17640 a^{6} b^{3} c^{6} d^{4}+15120 a^{5} b^{4} c^{7} d^{3}+5670 a^{4} b^{5} c^{8} d^{2}+840 a^{3} b^{6} c^{9} d +36 a^{2} b^{7} c^{10}\right) x^{8}}{8}+\frac{\left(210 a^{9} c^{4} d^{6}+2268 a^{8} b \,c^{5} d^{5}+7560 a^{7} b^{2} c^{6} d^{4}+10080 a^{6} b^{3} c^{7} d^{3}+5670 a^{5} b^{4} c^{8} d^{2}+1260 a^{4} b^{5} c^{9} d +84 a^{3} b^{6} c^{10}\right) x^{7}}{7}+\frac{\left(252 a^{9} c^{5} d^{5}+1890 a^{8} b \,c^{6} d^{4}+4320 a^{7} b^{2} c^{7} d^{3}+3780 a^{6} b^{3} c^{8} d^{2}+1260 a^{5} b^{4} c^{9} d +126 a^{4} b^{5} c^{10}\right) x^{6}}{6}+\frac{\left(210 a^{9} c^{6} d^{4}+1080 a^{8} b \,c^{7} d^{3}+1620 a^{7} b^{2} c^{8} d^{2}+840 a^{6} b^{3} c^{9} d +126 a^{5} b^{4} c^{10}\right) x^{5}}{5}+\frac{\left(120 a^{9} c^{7} d^{3}+405 a^{8} b \,c^{8} d^{2}+360 a^{7} b^{2} c^{9} d +84 a^{6} b^{3} c^{10}\right) x^{4}}{4}+\frac{\left(45 a^{9} c^{8} d^{2}+90 a^{8} b \,c^{9} d +36 a^{7} b^{2} c^{10}\right) x^{3}}{3}+\frac{\left(10 a^{9} c^{9} d +9 a^{8} b \,c^{10}\right) x^{2}}{2}"," ",0,"1/20*b^9*d^10*x^20+1/19*(9*a*b^8*d^10+10*b^9*c*d^9)*x^19+1/18*(36*a^2*b^7*d^10+90*a*b^8*c*d^9+45*b^9*c^2*d^8)*x^18+1/17*(84*a^3*b^6*d^10+360*a^2*b^7*c*d^9+405*a*b^8*c^2*d^8+120*b^9*c^3*d^7)*x^17+1/16*(126*a^4*b^5*d^10+840*a^3*b^6*c*d^9+1620*a^2*b^7*c^2*d^8+1080*a*b^8*c^3*d^7+210*b^9*c^4*d^6)*x^16+1/15*(126*a^5*b^4*d^10+1260*a^4*b^5*c*d^9+3780*a^3*b^6*c^2*d^8+4320*a^2*b^7*c^3*d^7+1890*a*b^8*c^4*d^6+252*b^9*c^5*d^5)*x^15+1/14*(84*a^6*b^3*d^10+1260*a^5*b^4*c*d^9+5670*a^4*b^5*c^2*d^8+10080*a^3*b^6*c^3*d^7+7560*a^2*b^7*c^4*d^6+2268*a*b^8*c^5*d^5+210*b^9*c^6*d^4)*x^14+1/13*(36*a^7*b^2*d^10+840*a^6*b^3*c*d^9+5670*a^5*b^4*c^2*d^8+15120*a^4*b^5*c^3*d^7+17640*a^3*b^6*c^4*d^6+9072*a^2*b^7*c^5*d^5+1890*a*b^8*c^6*d^4+120*b^9*c^7*d^3)*x^13+1/12*(9*a^8*b*d^10+360*a^7*b^2*c*d^9+3780*a^6*b^3*c^2*d^8+15120*a^5*b^4*c^3*d^7+26460*a^4*b^5*c^4*d^6+21168*a^3*b^6*c^5*d^5+7560*a^2*b^7*c^6*d^4+1080*a*b^8*c^7*d^3+45*b^9*c^8*d^2)*x^12+1/11*(a^9*d^10+90*a^8*b*c*d^9+1620*a^7*b^2*c^2*d^8+10080*a^6*b^3*c^3*d^7+26460*a^5*b^4*c^4*d^6+31752*a^4*b^5*c^5*d^5+17640*a^3*b^6*c^6*d^4+4320*a^2*b^7*c^7*d^3+405*a*b^8*c^8*d^2+10*b^9*c^9*d)*x^11+1/10*(10*a^9*c*d^9+405*a^8*b*c^2*d^8+4320*a^7*b^2*c^3*d^7+17640*a^6*b^3*c^4*d^6+31752*a^5*b^4*c^5*d^5+26460*a^4*b^5*c^6*d^4+10080*a^3*b^6*c^7*d^3+1620*a^2*b^7*c^8*d^2+90*a*b^8*c^9*d+b^9*c^10)*x^10+1/9*(45*a^9*c^2*d^8+1080*a^8*b*c^3*d^7+7560*a^7*b^2*c^4*d^6+21168*a^6*b^3*c^5*d^5+26460*a^5*b^4*c^6*d^4+15120*a^4*b^5*c^7*d^3+3780*a^3*b^6*c^8*d^2+360*a^2*b^7*c^9*d+9*a*b^8*c^10)*x^9+1/8*(120*a^9*c^3*d^7+1890*a^8*b*c^4*d^6+9072*a^7*b^2*c^5*d^5+17640*a^6*b^3*c^6*d^4+15120*a^5*b^4*c^7*d^3+5670*a^4*b^5*c^8*d^2+840*a^3*b^6*c^9*d+36*a^2*b^7*c^10)*x^8+1/7*(210*a^9*c^4*d^6+2268*a^8*b*c^5*d^5+7560*a^7*b^2*c^6*d^4+10080*a^6*b^3*c^7*d^3+5670*a^5*b^4*c^8*d^2+1260*a^4*b^5*c^9*d+84*a^3*b^6*c^10)*x^7+1/6*(252*a^9*c^5*d^5+1890*a^8*b*c^6*d^4+4320*a^7*b^2*c^7*d^3+3780*a^6*b^3*c^8*d^2+1260*a^5*b^4*c^9*d+126*a^4*b^5*c^10)*x^6+1/5*(210*a^9*c^6*d^4+1080*a^8*b*c^7*d^3+1620*a^7*b^2*c^8*d^2+840*a^6*b^3*c^9*d+126*a^5*b^4*c^10)*x^5+1/4*(120*a^9*c^7*d^3+405*a^8*b*c^8*d^2+360*a^7*b^2*c^9*d+84*a^6*b^3*c^10)*x^4+1/3*(45*a^9*c^8*d^2+90*a^8*b*c^9*d+36*a^7*b^2*c^10)*x^3+1/2*(10*a^9*c^9*d+9*a^8*b*c^10)*x^2+a^9*c^10*x","B"
1303,1,1291,209,0.002000," ","int((b*x+a)^8*(d*x+c)^10,x)","\frac{b^{8} d^{10} x^{19}}{19}+a^{8} c^{10} x +\frac{\left(8 a \,b^{7} d^{10}+10 b^{8} c \,d^{9}\right) x^{18}}{18}+\frac{\left(28 a^{2} b^{6} d^{10}+80 a \,b^{7} c \,d^{9}+45 b^{8} c^{2} d^{8}\right) x^{17}}{17}+\frac{\left(56 a^{3} b^{5} d^{10}+280 a^{2} b^{6} c \,d^{9}+360 a \,b^{7} c^{2} d^{8}+120 b^{8} c^{3} d^{7}\right) x^{16}}{16}+\frac{\left(70 a^{4} b^{4} d^{10}+560 a^{3} b^{5} c \,d^{9}+1260 a^{2} b^{6} c^{2} d^{8}+960 a \,b^{7} c^{3} d^{7}+210 b^{8} c^{4} d^{6}\right) x^{15}}{15}+\frac{\left(56 a^{5} b^{3} d^{10}+700 a^{4} b^{4} c \,d^{9}+2520 a^{3} b^{5} c^{2} d^{8}+3360 a^{2} b^{6} c^{3} d^{7}+1680 a \,b^{7} c^{4} d^{6}+252 b^{8} c^{5} d^{5}\right) x^{14}}{14}+\frac{\left(28 a^{6} b^{2} d^{10}+560 a^{5} b^{3} c \,d^{9}+3150 a^{4} b^{4} c^{2} d^{8}+6720 a^{3} b^{5} c^{3} d^{7}+5880 a^{2} b^{6} c^{4} d^{6}+2016 a \,b^{7} c^{5} d^{5}+210 b^{8} c^{6} d^{4}\right) x^{13}}{13}+\frac{\left(8 a^{7} b \,d^{10}+280 a^{6} b^{2} c \,d^{9}+2520 a^{5} b^{3} c^{2} d^{8}+8400 a^{4} b^{4} c^{3} d^{7}+11760 a^{3} b^{5} c^{4} d^{6}+7056 a^{2} b^{6} c^{5} d^{5}+1680 a \,b^{7} c^{6} d^{4}+120 b^{8} c^{7} d^{3}\right) x^{12}}{12}+\frac{\left(a^{8} d^{10}+80 a^{7} b c \,d^{9}+1260 a^{6} b^{2} c^{2} d^{8}+6720 a^{5} b^{3} c^{3} d^{7}+14700 a^{4} b^{4} c^{4} d^{6}+14112 a^{3} b^{5} c^{5} d^{5}+5880 a^{2} b^{6} c^{6} d^{4}+960 a \,b^{7} c^{7} d^{3}+45 b^{8} c^{8} d^{2}\right) x^{11}}{11}+\frac{\left(10 a^{8} c \,d^{9}+360 a^{7} b \,c^{2} d^{8}+3360 a^{6} b^{2} c^{3} d^{7}+11760 a^{5} b^{3} c^{4} d^{6}+17640 a^{4} b^{4} c^{5} d^{5}+11760 a^{3} b^{5} c^{6} d^{4}+3360 a^{2} b^{6} c^{7} d^{3}+360 a \,b^{7} c^{8} d^{2}+10 b^{8} c^{9} d \right) x^{10}}{10}+\frac{\left(45 a^{8} c^{2} d^{8}+960 a^{7} b \,c^{3} d^{7}+5880 a^{6} b^{2} c^{4} d^{6}+14112 a^{5} b^{3} c^{5} d^{5}+14700 a^{4} b^{4} c^{6} d^{4}+6720 a^{3} b^{5} c^{7} d^{3}+1260 a^{2} b^{6} c^{8} d^{2}+80 a \,b^{7} c^{9} d +b^{8} c^{10}\right) x^{9}}{9}+\frac{\left(120 a^{8} c^{3} d^{7}+1680 a^{7} b \,c^{4} d^{6}+7056 a^{6} b^{2} c^{5} d^{5}+11760 a^{5} b^{3} c^{6} d^{4}+8400 a^{4} b^{4} c^{7} d^{3}+2520 a^{3} b^{5} c^{8} d^{2}+280 a^{2} b^{6} c^{9} d +8 a \,b^{7} c^{10}\right) x^{8}}{8}+\frac{\left(210 a^{8} c^{4} d^{6}+2016 a^{7} b \,c^{5} d^{5}+5880 a^{6} b^{2} c^{6} d^{4}+6720 a^{5} b^{3} c^{7} d^{3}+3150 a^{4} b^{4} c^{8} d^{2}+560 a^{3} b^{5} c^{9} d +28 a^{2} b^{6} c^{10}\right) x^{7}}{7}+\frac{\left(252 a^{8} c^{5} d^{5}+1680 a^{7} b \,c^{6} d^{4}+3360 a^{6} b^{2} c^{7} d^{3}+2520 a^{5} b^{3} c^{8} d^{2}+700 a^{4} b^{4} c^{9} d +56 a^{3} b^{5} c^{10}\right) x^{6}}{6}+\frac{\left(210 a^{8} c^{6} d^{4}+960 a^{7} b \,c^{7} d^{3}+1260 a^{6} b^{2} c^{8} d^{2}+560 a^{5} b^{3} c^{9} d +70 a^{4} b^{4} c^{10}\right) x^{5}}{5}+\frac{\left(120 a^{8} c^{7} d^{3}+360 a^{7} b \,c^{8} d^{2}+280 a^{6} b^{2} c^{9} d +56 a^{5} b^{3} c^{10}\right) x^{4}}{4}+\frac{\left(45 a^{8} c^{8} d^{2}+80 a^{7} b \,c^{9} d +28 a^{6} b^{2} c^{10}\right) x^{3}}{3}+\frac{\left(10 a^{8} c^{9} d +8 a^{7} b \,c^{10}\right) x^{2}}{2}"," ",0,"1/19*b^8*d^10*x^19+1/18*(8*a*b^7*d^10+10*b^8*c*d^9)*x^18+1/17*(28*a^2*b^6*d^10+80*a*b^7*c*d^9+45*b^8*c^2*d^8)*x^17+1/16*(56*a^3*b^5*d^10+280*a^2*b^6*c*d^9+360*a*b^7*c^2*d^8+120*b^8*c^3*d^7)*x^16+1/15*(70*a^4*b^4*d^10+560*a^3*b^5*c*d^9+1260*a^2*b^6*c^2*d^8+960*a*b^7*c^3*d^7+210*b^8*c^4*d^6)*x^15+1/14*(56*a^5*b^3*d^10+700*a^4*b^4*c*d^9+2520*a^3*b^5*c^2*d^8+3360*a^2*b^6*c^3*d^7+1680*a*b^7*c^4*d^6+252*b^8*c^5*d^5)*x^14+1/13*(28*a^6*b^2*d^10+560*a^5*b^3*c*d^9+3150*a^4*b^4*c^2*d^8+6720*a^3*b^5*c^3*d^7+5880*a^2*b^6*c^4*d^6+2016*a*b^7*c^5*d^5+210*b^8*c^6*d^4)*x^13+1/12*(8*a^7*b*d^10+280*a^6*b^2*c*d^9+2520*a^5*b^3*c^2*d^8+8400*a^4*b^4*c^3*d^7+11760*a^3*b^5*c^4*d^6+7056*a^2*b^6*c^5*d^5+1680*a*b^7*c^6*d^4+120*b^8*c^7*d^3)*x^12+1/11*(a^8*d^10+80*a^7*b*c*d^9+1260*a^6*b^2*c^2*d^8+6720*a^5*b^3*c^3*d^7+14700*a^4*b^4*c^4*d^6+14112*a^3*b^5*c^5*d^5+5880*a^2*b^6*c^6*d^4+960*a*b^7*c^7*d^3+45*b^8*c^8*d^2)*x^11+1/10*(10*a^8*c*d^9+360*a^7*b*c^2*d^8+3360*a^6*b^2*c^3*d^7+11760*a^5*b^3*c^4*d^6+17640*a^4*b^4*c^5*d^5+11760*a^3*b^5*c^6*d^4+3360*a^2*b^6*c^7*d^3+360*a*b^7*c^8*d^2+10*b^8*c^9*d)*x^10+1/9*(45*a^8*c^2*d^8+960*a^7*b*c^3*d^7+5880*a^6*b^2*c^4*d^6+14112*a^5*b^3*c^5*d^5+14700*a^4*b^4*c^6*d^4+6720*a^3*b^5*c^7*d^3+1260*a^2*b^6*c^8*d^2+80*a*b^7*c^9*d+b^8*c^10)*x^9+1/8*(120*a^8*c^3*d^7+1680*a^7*b*c^4*d^6+7056*a^6*b^2*c^5*d^5+11760*a^5*b^3*c^6*d^4+8400*a^4*b^4*c^7*d^3+2520*a^3*b^5*c^8*d^2+280*a^2*b^6*c^9*d+8*a*b^7*c^10)*x^8+1/7*(210*a^8*c^4*d^6+2016*a^7*b*c^5*d^5+5880*a^6*b^2*c^6*d^4+6720*a^5*b^3*c^7*d^3+3150*a^4*b^4*c^8*d^2+560*a^3*b^5*c^9*d+28*a^2*b^6*c^10)*x^7+1/6*(252*a^8*c^5*d^5+1680*a^7*b*c^6*d^4+3360*a^6*b^2*c^7*d^3+2520*a^5*b^3*c^8*d^2+700*a^4*b^4*c^9*d+56*a^3*b^5*c^10)*x^6+1/5*(210*a^8*c^6*d^4+960*a^7*b*c^7*d^3+1260*a^6*b^2*c^8*d^2+560*a^5*b^3*c^9*d+70*a^4*b^4*c^10)*x^5+1/4*(120*a^8*c^7*d^3+360*a^7*b*c^8*d^2+280*a^6*b^2*c^9*d+56*a^5*b^3*c^10)*x^4+1/3*(45*a^8*c^8*d^2+80*a^7*b*c^9*d+28*a^6*b^2*c^10)*x^3+1/2*(10*a^8*c^9*d+8*a^7*b*c^10)*x^2+a^8*c^10*x","B"
1304,1,1141,184,0.001000," ","int((b*x+a)^7*(d*x+c)^10,x)","\frac{b^{7} d^{10} x^{18}}{18}+a^{7} c^{10} x +\frac{\left(7 a \,b^{6} d^{10}+10 b^{7} c \,d^{9}\right) x^{17}}{17}+\frac{\left(21 a^{2} b^{5} d^{10}+70 a \,b^{6} c \,d^{9}+45 b^{7} c^{2} d^{8}\right) x^{16}}{16}+\frac{\left(35 a^{3} b^{4} d^{10}+210 a^{2} b^{5} c \,d^{9}+315 a \,b^{6} c^{2} d^{8}+120 b^{7} c^{3} d^{7}\right) x^{15}}{15}+\frac{\left(35 a^{4} b^{3} d^{10}+350 a^{3} b^{4} c \,d^{9}+945 a^{2} b^{5} c^{2} d^{8}+840 a \,b^{6} c^{3} d^{7}+210 b^{7} c^{4} d^{6}\right) x^{14}}{14}+\frac{\left(21 a^{5} b^{2} d^{10}+350 a^{4} b^{3} c \,d^{9}+1575 a^{3} b^{4} c^{2} d^{8}+2520 a^{2} b^{5} c^{3} d^{7}+1470 a \,b^{6} c^{4} d^{6}+252 b^{7} c^{5} d^{5}\right) x^{13}}{13}+\frac{\left(7 a^{6} b \,d^{10}+210 a^{5} b^{2} c \,d^{9}+1575 a^{4} b^{3} c^{2} d^{8}+4200 a^{3} b^{4} c^{3} d^{7}+4410 a^{2} b^{5} c^{4} d^{6}+1764 a \,b^{6} c^{5} d^{5}+210 b^{7} c^{6} d^{4}\right) x^{12}}{12}+\frac{\left(a^{7} d^{10}+70 a^{6} b c \,d^{9}+945 a^{5} b^{2} c^{2} d^{8}+4200 a^{4} b^{3} c^{3} d^{7}+7350 a^{3} b^{4} c^{4} d^{6}+5292 a^{2} b^{5} c^{5} d^{5}+1470 a \,b^{6} c^{6} d^{4}+120 b^{7} c^{7} d^{3}\right) x^{11}}{11}+\frac{\left(10 a^{7} c \,d^{9}+315 a^{6} b \,c^{2} d^{8}+2520 a^{5} b^{2} c^{3} d^{7}+7350 a^{4} b^{3} c^{4} d^{6}+8820 a^{3} b^{4} c^{5} d^{5}+4410 a^{2} b^{5} c^{6} d^{4}+840 a \,b^{6} c^{7} d^{3}+45 b^{7} c^{8} d^{2}\right) x^{10}}{10}+\frac{\left(45 a^{7} c^{2} d^{8}+840 a^{6} b \,c^{3} d^{7}+4410 a^{5} b^{2} c^{4} d^{6}+8820 a^{4} b^{3} c^{5} d^{5}+7350 a^{3} b^{4} c^{6} d^{4}+2520 a^{2} b^{5} c^{7} d^{3}+315 a \,b^{6} c^{8} d^{2}+10 b^{7} c^{9} d \right) x^{9}}{9}+\frac{\left(120 a^{7} c^{3} d^{7}+1470 a^{6} b \,c^{4} d^{6}+5292 a^{5} b^{2} c^{5} d^{5}+7350 a^{4} b^{3} c^{6} d^{4}+4200 a^{3} b^{4} c^{7} d^{3}+945 a^{2} b^{5} c^{8} d^{2}+70 a \,b^{6} c^{9} d +b^{7} c^{10}\right) x^{8}}{8}+\frac{\left(210 a^{7} c^{4} d^{6}+1764 a^{6} b \,c^{5} d^{5}+4410 a^{5} b^{2} c^{6} d^{4}+4200 a^{4} b^{3} c^{7} d^{3}+1575 a^{3} b^{4} c^{8} d^{2}+210 a^{2} b^{5} c^{9} d +7 a \,b^{6} c^{10}\right) x^{7}}{7}+\frac{\left(252 a^{7} c^{5} d^{5}+1470 a^{6} b \,c^{6} d^{4}+2520 a^{5} b^{2} c^{7} d^{3}+1575 a^{4} b^{3} c^{8} d^{2}+350 a^{3} b^{4} c^{9} d +21 a^{2} b^{5} c^{10}\right) x^{6}}{6}+\frac{\left(210 a^{7} c^{6} d^{4}+840 a^{6} b \,c^{7} d^{3}+945 a^{5} b^{2} c^{8} d^{2}+350 a^{4} b^{3} c^{9} d +35 a^{3} b^{4} c^{10}\right) x^{5}}{5}+\frac{\left(120 a^{7} c^{7} d^{3}+315 a^{6} b \,c^{8} d^{2}+210 a^{5} b^{2} c^{9} d +35 a^{4} b^{3} c^{10}\right) x^{4}}{4}+\frac{\left(45 a^{7} c^{8} d^{2}+70 a^{6} b \,c^{9} d +21 a^{5} b^{2} c^{10}\right) x^{3}}{3}+\frac{\left(10 a^{7} c^{9} d +7 a^{6} b \,c^{10}\right) x^{2}}{2}"," ",0,"1/18*b^7*d^10*x^18+1/17*(7*a*b^6*d^10+10*b^7*c*d^9)*x^17+1/16*(21*a^2*b^5*d^10+70*a*b^6*c*d^9+45*b^7*c^2*d^8)*x^16+1/15*(35*a^3*b^4*d^10+210*a^2*b^5*c*d^9+315*a*b^6*c^2*d^8+120*b^7*c^3*d^7)*x^15+1/14*(35*a^4*b^3*d^10+350*a^3*b^4*c*d^9+945*a^2*b^5*c^2*d^8+840*a*b^6*c^3*d^7+210*b^7*c^4*d^6)*x^14+1/13*(21*a^5*b^2*d^10+350*a^4*b^3*c*d^9+1575*a^3*b^4*c^2*d^8+2520*a^2*b^5*c^3*d^7+1470*a*b^6*c^4*d^6+252*b^7*c^5*d^5)*x^13+1/12*(7*a^6*b*d^10+210*a^5*b^2*c*d^9+1575*a^4*b^3*c^2*d^8+4200*a^3*b^4*c^3*d^7+4410*a^2*b^5*c^4*d^6+1764*a*b^6*c^5*d^5+210*b^7*c^6*d^4)*x^12+1/11*(a^7*d^10+70*a^6*b*c*d^9+945*a^5*b^2*c^2*d^8+4200*a^4*b^3*c^3*d^7+7350*a^3*b^4*c^4*d^6+5292*a^2*b^5*c^5*d^5+1470*a*b^6*c^6*d^4+120*b^7*c^7*d^3)*x^11+1/10*(10*a^7*c*d^9+315*a^6*b*c^2*d^8+2520*a^5*b^2*c^3*d^7+7350*a^4*b^3*c^4*d^6+8820*a^3*b^4*c^5*d^5+4410*a^2*b^5*c^6*d^4+840*a*b^6*c^7*d^3+45*b^7*c^8*d^2)*x^10+1/9*(45*a^7*c^2*d^8+840*a^6*b*c^3*d^7+4410*a^5*b^2*c^4*d^6+8820*a^4*b^3*c^5*d^5+7350*a^3*b^4*c^6*d^4+2520*a^2*b^5*c^7*d^3+315*a*b^6*c^8*d^2+10*b^7*c^9*d)*x^9+1/8*(120*a^7*c^3*d^7+1470*a^6*b*c^4*d^6+5292*a^5*b^2*c^5*d^5+7350*a^4*b^3*c^6*d^4+4200*a^3*b^4*c^7*d^3+945*a^2*b^5*c^8*d^2+70*a*b^6*c^9*d+b^7*c^10)*x^8+1/7*(210*a^7*c^4*d^6+1764*a^6*b*c^5*d^5+4410*a^5*b^2*c^6*d^4+4200*a^4*b^3*c^7*d^3+1575*a^3*b^4*c^8*d^2+210*a^2*b^5*c^9*d+7*a*b^6*c^10)*x^7+1/6*(252*a^7*c^5*d^5+1470*a^6*b*c^6*d^4+2520*a^5*b^2*c^7*d^3+1575*a^4*b^3*c^8*d^2+350*a^3*b^4*c^9*d+21*a^2*b^5*c^10)*x^6+1/5*(210*a^7*c^6*d^4+840*a^6*b*c^7*d^3+945*a^5*b^2*c^8*d^2+350*a^4*b^3*c^9*d+35*a^3*b^4*c^10)*x^5+1/4*(120*a^7*c^7*d^3+315*a^6*b*c^8*d^2+210*a^5*b^2*c^9*d+35*a^4*b^3*c^10)*x^4+1/3*(45*a^7*c^8*d^2+70*a^6*b*c^9*d+21*a^5*b^2*c^10)*x^3+1/2*(10*a^7*c^9*d+7*a^6*b*c^10)*x^2+a^7*c^10*x","B"
1305,1,991,158,0.001000," ","int((b*x+a)^6*(d*x+c)^10,x)","\frac{b^{6} d^{10} x^{17}}{17}+a^{6} c^{10} x +\frac{\left(6 a \,b^{5} d^{10}+10 b^{6} c \,d^{9}\right) x^{16}}{16}+\frac{\left(15 a^{2} b^{4} d^{10}+60 a \,b^{5} c \,d^{9}+45 b^{6} c^{2} d^{8}\right) x^{15}}{15}+\frac{\left(20 a^{3} b^{3} d^{10}+150 a^{2} b^{4} c \,d^{9}+270 a \,b^{5} c^{2} d^{8}+120 b^{6} c^{3} d^{7}\right) x^{14}}{14}+\frac{\left(15 a^{4} b^{2} d^{10}+200 a^{3} b^{3} c \,d^{9}+675 a^{2} b^{4} c^{2} d^{8}+720 a \,b^{5} c^{3} d^{7}+210 b^{6} c^{4} d^{6}\right) x^{13}}{13}+\frac{\left(6 a^{5} b \,d^{10}+150 a^{4} b^{2} c \,d^{9}+900 a^{3} b^{3} c^{2} d^{8}+1800 a^{2} b^{4} c^{3} d^{7}+1260 a \,b^{5} c^{4} d^{6}+252 b^{6} c^{5} d^{5}\right) x^{12}}{12}+\frac{\left(a^{6} d^{10}+60 a^{5} b c \,d^{9}+675 a^{4} b^{2} c^{2} d^{8}+2400 a^{3} b^{3} c^{3} d^{7}+3150 a^{2} b^{4} c^{4} d^{6}+1512 a \,b^{5} c^{5} d^{5}+210 b^{6} c^{6} d^{4}\right) x^{11}}{11}+\frac{\left(10 a^{6} c \,d^{9}+270 a^{5} b \,c^{2} d^{8}+1800 a^{4} b^{2} c^{3} d^{7}+4200 a^{3} b^{3} c^{4} d^{6}+3780 a^{2} b^{4} c^{5} d^{5}+1260 a \,b^{5} c^{6} d^{4}+120 b^{6} c^{7} d^{3}\right) x^{10}}{10}+\frac{\left(45 a^{6} c^{2} d^{8}+720 a^{5} b \,c^{3} d^{7}+3150 a^{4} b^{2} c^{4} d^{6}+5040 a^{3} b^{3} c^{5} d^{5}+3150 a^{2} b^{4} c^{6} d^{4}+720 a \,b^{5} c^{7} d^{3}+45 b^{6} c^{8} d^{2}\right) x^{9}}{9}+\frac{\left(120 a^{6} c^{3} d^{7}+1260 a^{5} b \,c^{4} d^{6}+3780 a^{4} b^{2} c^{5} d^{5}+4200 a^{3} b^{3} c^{6} d^{4}+1800 a^{2} b^{4} c^{7} d^{3}+270 a \,b^{5} c^{8} d^{2}+10 b^{6} c^{9} d \right) x^{8}}{8}+\frac{\left(210 a^{6} c^{4} d^{6}+1512 a^{5} b \,c^{5} d^{5}+3150 a^{4} b^{2} c^{6} d^{4}+2400 a^{3} b^{3} c^{7} d^{3}+675 a^{2} b^{4} c^{8} d^{2}+60 a \,b^{5} c^{9} d +b^{6} c^{10}\right) x^{7}}{7}+\frac{\left(252 a^{6} c^{5} d^{5}+1260 a^{5} b \,c^{6} d^{4}+1800 a^{4} b^{2} c^{7} d^{3}+900 a^{3} b^{3} c^{8} d^{2}+150 a^{2} b^{4} c^{9} d +6 a \,b^{5} c^{10}\right) x^{6}}{6}+\frac{\left(210 a^{6} c^{6} d^{4}+720 a^{5} b \,c^{7} d^{3}+675 a^{4} b^{2} c^{8} d^{2}+200 a^{3} b^{3} c^{9} d +15 a^{2} b^{4} c^{10}\right) x^{5}}{5}+\frac{\left(120 a^{6} c^{7} d^{3}+270 a^{5} b \,c^{8} d^{2}+150 a^{4} b^{2} c^{9} d +20 a^{3} b^{3} c^{10}\right) x^{4}}{4}+\frac{\left(45 a^{6} c^{8} d^{2}+60 a^{5} b \,c^{9} d +15 a^{4} b^{2} c^{10}\right) x^{3}}{3}+\frac{\left(10 a^{6} c^{9} d +6 a^{5} b \,c^{10}\right) x^{2}}{2}"," ",0,"1/17*b^6*d^10*x^17+1/16*(6*a*b^5*d^10+10*b^6*c*d^9)*x^16+1/15*(15*a^2*b^4*d^10+60*a*b^5*c*d^9+45*b^6*c^2*d^8)*x^15+1/14*(20*a^3*b^3*d^10+150*a^2*b^4*c*d^9+270*a*b^5*c^2*d^8+120*b^6*c^3*d^7)*x^14+1/13*(15*a^4*b^2*d^10+200*a^3*b^3*c*d^9+675*a^2*b^4*c^2*d^8+720*a*b^5*c^3*d^7+210*b^6*c^4*d^6)*x^13+1/12*(6*a^5*b*d^10+150*a^4*b^2*c*d^9+900*a^3*b^3*c^2*d^8+1800*a^2*b^4*c^3*d^7+1260*a*b^5*c^4*d^6+252*b^6*c^5*d^5)*x^12+1/11*(a^6*d^10+60*a^5*b*c*d^9+675*a^4*b^2*c^2*d^8+2400*a^3*b^3*c^3*d^7+3150*a^2*b^4*c^4*d^6+1512*a*b^5*c^5*d^5+210*b^6*c^6*d^4)*x^11+1/10*(10*a^6*c*d^9+270*a^5*b*c^2*d^8+1800*a^4*b^2*c^3*d^7+4200*a^3*b^3*c^4*d^6+3780*a^2*b^4*c^5*d^5+1260*a*b^5*c^6*d^4+120*b^6*c^7*d^3)*x^10+1/9*(45*a^6*c^2*d^8+720*a^5*b*c^3*d^7+3150*a^4*b^2*c^4*d^6+5040*a^3*b^3*c^5*d^5+3150*a^2*b^4*c^6*d^4+720*a*b^5*c^7*d^3+45*b^6*c^8*d^2)*x^9+1/8*(120*a^6*c^3*d^7+1260*a^5*b*c^4*d^6+3780*a^4*b^2*c^5*d^5+4200*a^3*b^3*c^6*d^4+1800*a^2*b^4*c^7*d^3+270*a*b^5*c^8*d^2+10*b^6*c^9*d)*x^8+1/7*(210*a^6*c^4*d^6+1512*a^5*b*c^5*d^5+3150*a^4*b^2*c^6*d^4+2400*a^3*b^3*c^7*d^3+675*a^2*b^4*c^8*d^2+60*a*b^5*c^9*d+b^6*c^10)*x^7+1/6*(252*a^6*c^5*d^5+1260*a^5*b*c^6*d^4+1800*a^4*b^2*c^7*d^3+900*a^3*b^3*c^8*d^2+150*a^2*b^4*c^9*d+6*a*b^5*c^10)*x^6+1/5*(210*a^6*c^6*d^4+720*a^5*b*c^7*d^3+675*a^4*b^2*c^8*d^2+200*a^3*b^3*c^9*d+15*a^2*b^4*c^10)*x^5+1/4*(120*a^6*c^7*d^3+270*a^5*b*c^8*d^2+150*a^4*b^2*c^9*d+20*a^3*b^3*c^10)*x^4+1/3*(45*a^6*c^8*d^2+60*a^5*b*c^9*d+15*a^4*b^2*c^10)*x^3+1/2*(10*a^6*c^9*d+6*a^5*b*c^10)*x^2+a^6*c^10*x","B"
1306,1,841,134,0.003000," ","int((b*x+a)^5*(d*x+c)^10,x)","\frac{b^{5} d^{10} x^{16}}{16}+a^{5} c^{10} x +\frac{\left(5 a \,b^{4} d^{10}+10 b^{5} c \,d^{9}\right) x^{15}}{15}+\frac{\left(10 a^{2} b^{3} d^{10}+50 a \,b^{4} c \,d^{9}+45 b^{5} c^{2} d^{8}\right) x^{14}}{14}+\frac{\left(10 a^{3} b^{2} d^{10}+100 a^{2} b^{3} c \,d^{9}+225 a \,b^{4} c^{2} d^{8}+120 b^{5} c^{3} d^{7}\right) x^{13}}{13}+\frac{\left(5 a^{4} b \,d^{10}+100 a^{3} b^{2} c \,d^{9}+450 a^{2} b^{3} c^{2} d^{8}+600 a \,b^{4} c^{3} d^{7}+210 b^{5} c^{4} d^{6}\right) x^{12}}{12}+\frac{\left(a^{5} d^{10}+50 a^{4} b c \,d^{9}+450 a^{3} b^{2} c^{2} d^{8}+1200 a^{2} b^{3} c^{3} d^{7}+1050 a \,b^{4} c^{4} d^{6}+252 b^{5} c^{5} d^{5}\right) x^{11}}{11}+\frac{\left(10 a^{5} c \,d^{9}+225 a^{4} b \,c^{2} d^{8}+1200 a^{3} b^{2} c^{3} d^{7}+2100 a^{2} b^{3} c^{4} d^{6}+1260 a \,b^{4} c^{5} d^{5}+210 b^{5} c^{6} d^{4}\right) x^{10}}{10}+\frac{\left(45 a^{5} c^{2} d^{8}+600 a^{4} b \,c^{3} d^{7}+2100 a^{3} b^{2} c^{4} d^{6}+2520 a^{2} b^{3} c^{5} d^{5}+1050 a \,b^{4} c^{6} d^{4}+120 b^{5} c^{7} d^{3}\right) x^{9}}{9}+\frac{\left(120 a^{5} c^{3} d^{7}+1050 a^{4} b \,c^{4} d^{6}+2520 a^{3} b^{2} c^{5} d^{5}+2100 a^{2} b^{3} c^{6} d^{4}+600 a \,b^{4} c^{7} d^{3}+45 b^{5} c^{8} d^{2}\right) x^{8}}{8}+\frac{\left(210 a^{5} c^{4} d^{6}+1260 a^{4} b \,c^{5} d^{5}+2100 a^{3} b^{2} c^{6} d^{4}+1200 a^{2} b^{3} c^{7} d^{3}+225 a \,b^{4} c^{8} d^{2}+10 b^{5} c^{9} d \right) x^{7}}{7}+\frac{\left(252 a^{5} c^{5} d^{5}+1050 a^{4} b \,c^{6} d^{4}+1200 a^{3} b^{2} c^{7} d^{3}+450 a^{2} b^{3} c^{8} d^{2}+50 a \,b^{4} c^{9} d +b^{5} c^{10}\right) x^{6}}{6}+\frac{\left(210 a^{5} c^{6} d^{4}+600 a^{4} b \,c^{7} d^{3}+450 a^{3} b^{2} c^{8} d^{2}+100 a^{2} b^{3} c^{9} d +5 a \,b^{4} c^{10}\right) x^{5}}{5}+\frac{\left(120 a^{5} c^{7} d^{3}+225 a^{4} b \,c^{8} d^{2}+100 a^{3} b^{2} c^{9} d +10 a^{2} b^{3} c^{10}\right) x^{4}}{4}+\frac{\left(45 a^{5} c^{8} d^{2}+50 a^{4} b \,c^{9} d +10 a^{3} b^{2} c^{10}\right) x^{3}}{3}+\frac{\left(10 a^{5} c^{9} d +5 a^{4} b \,c^{10}\right) x^{2}}{2}"," ",0,"1/16*b^5*d^10*x^16+1/15*(5*a*b^4*d^10+10*b^5*c*d^9)*x^15+1/14*(10*a^2*b^3*d^10+50*a*b^4*c*d^9+45*b^5*c^2*d^8)*x^14+1/13*(10*a^3*b^2*d^10+100*a^2*b^3*c*d^9+225*a*b^4*c^2*d^8+120*b^5*c^3*d^7)*x^13+1/12*(5*a^4*b*d^10+100*a^3*b^2*c*d^9+450*a^2*b^3*c^2*d^8+600*a*b^4*c^3*d^7+210*b^5*c^4*d^6)*x^12+1/11*(a^5*d^10+50*a^4*b*c*d^9+450*a^3*b^2*c^2*d^8+1200*a^2*b^3*c^3*d^7+1050*a*b^4*c^4*d^6+252*b^5*c^5*d^5)*x^11+1/10*(10*a^5*c*d^9+225*a^4*b*c^2*d^8+1200*a^3*b^2*c^3*d^7+2100*a^2*b^3*c^4*d^6+1260*a*b^4*c^5*d^5+210*b^5*c^6*d^4)*x^10+1/9*(45*a^5*c^2*d^8+600*a^4*b*c^3*d^7+2100*a^3*b^2*c^4*d^6+2520*a^2*b^3*c^5*d^5+1050*a*b^4*c^6*d^4+120*b^5*c^7*d^3)*x^9+1/8*(120*a^5*c^3*d^7+1050*a^4*b*c^4*d^6+2520*a^3*b^2*c^5*d^5+2100*a^2*b^3*c^6*d^4+600*a*b^4*c^7*d^3+45*b^5*c^8*d^2)*x^8+1/7*(210*a^5*c^4*d^6+1260*a^4*b*c^5*d^5+2100*a^3*b^2*c^6*d^4+1200*a^2*b^3*c^7*d^3+225*a*b^4*c^8*d^2+10*b^5*c^9*d)*x^7+1/6*(252*a^5*c^5*d^5+1050*a^4*b*c^6*d^4+1200*a^3*b^2*c^7*d^3+450*a^2*b^3*c^8*d^2+50*a*b^4*c^9*d+b^5*c^10)*x^6+1/5*(210*a^5*c^6*d^4+600*a^4*b*c^7*d^3+450*a^3*b^2*c^8*d^2+100*a^2*b^3*c^9*d+5*a*b^4*c^10)*x^5+1/4*(120*a^5*c^7*d^3+225*a^4*b*c^8*d^2+100*a^3*b^2*c^9*d+10*a^2*b^3*c^10)*x^4+1/3*(45*a^5*c^8*d^2+50*a^4*b*c^9*d+10*a^3*b^2*c^10)*x^3+1/2*(10*a^5*c^9*d+5*a^4*b*c^10)*x^2+a^5*c^10*x","B"
1307,1,691,109,0.002000," ","int((b*x+a)^4*(d*x+c)^10,x)","\frac{b^{4} d^{10} x^{15}}{15}+a^{4} c^{10} x +\frac{\left(4 a \,b^{3} d^{10}+10 b^{4} c \,d^{9}\right) x^{14}}{14}+\frac{\left(6 a^{2} b^{2} d^{10}+40 a \,b^{3} c \,d^{9}+45 b^{4} c^{2} d^{8}\right) x^{13}}{13}+\frac{\left(4 a^{3} b \,d^{10}+60 a^{2} b^{2} c \,d^{9}+180 a \,b^{3} c^{2} d^{8}+120 b^{4} c^{3} d^{7}\right) x^{12}}{12}+\frac{\left(a^{4} d^{10}+40 a^{3} b c \,d^{9}+270 a^{2} b^{2} c^{2} d^{8}+480 a \,b^{3} c^{3} d^{7}+210 b^{4} c^{4} d^{6}\right) x^{11}}{11}+\frac{\left(10 a^{4} c \,d^{9}+180 a^{3} b \,c^{2} d^{8}+720 a^{2} b^{2} c^{3} d^{7}+840 a \,b^{3} c^{4} d^{6}+252 b^{4} c^{5} d^{5}\right) x^{10}}{10}+\frac{\left(45 a^{4} c^{2} d^{8}+480 a^{3} b \,c^{3} d^{7}+1260 a^{2} b^{2} c^{4} d^{6}+1008 a \,b^{3} c^{5} d^{5}+210 b^{4} c^{6} d^{4}\right) x^{9}}{9}+\frac{\left(120 a^{4} c^{3} d^{7}+840 a^{3} b \,c^{4} d^{6}+1512 a^{2} b^{2} c^{5} d^{5}+840 a \,b^{3} c^{6} d^{4}+120 b^{4} c^{7} d^{3}\right) x^{8}}{8}+\frac{\left(210 a^{4} c^{4} d^{6}+1008 a^{3} b \,c^{5} d^{5}+1260 a^{2} b^{2} c^{6} d^{4}+480 a \,b^{3} c^{7} d^{3}+45 b^{4} c^{8} d^{2}\right) x^{7}}{7}+\frac{\left(252 a^{4} c^{5} d^{5}+840 a^{3} b \,c^{6} d^{4}+720 a^{2} b^{2} c^{7} d^{3}+180 a \,b^{3} c^{8} d^{2}+10 b^{4} c^{9} d \right) x^{6}}{6}+\frac{\left(210 a^{4} c^{6} d^{4}+480 a^{3} b \,c^{7} d^{3}+270 a^{2} b^{2} c^{8} d^{2}+40 a \,b^{3} c^{9} d +b^{4} c^{10}\right) x^{5}}{5}+\frac{\left(120 a^{4} c^{7} d^{3}+180 a^{3} b \,c^{8} d^{2}+60 a^{2} b^{2} c^{9} d +4 a \,b^{3} c^{10}\right) x^{4}}{4}+\frac{\left(45 a^{4} c^{8} d^{2}+40 a^{3} b \,c^{9} d +6 a^{2} b^{2} c^{10}\right) x^{3}}{3}+\frac{\left(10 a^{4} c^{9} d +4 a^{3} b \,c^{10}\right) x^{2}}{2}"," ",0,"1/15*b^4*d^10*x^15+1/14*(4*a*b^3*d^10+10*b^4*c*d^9)*x^14+1/13*(6*a^2*b^2*d^10+40*a*b^3*c*d^9+45*b^4*c^2*d^8)*x^13+1/12*(4*a^3*b*d^10+60*a^2*b^2*c*d^9+180*a*b^3*c^2*d^8+120*b^4*c^3*d^7)*x^12+1/11*(a^4*d^10+40*a^3*b*c*d^9+270*a^2*b^2*c^2*d^8+480*a*b^3*c^3*d^7+210*b^4*c^4*d^6)*x^11+1/10*(10*a^4*c*d^9+180*a^3*b*c^2*d^8+720*a^2*b^2*c^3*d^7+840*a*b^3*c^4*d^6+252*b^4*c^5*d^5)*x^10+1/9*(45*a^4*c^2*d^8+480*a^3*b*c^3*d^7+1260*a^2*b^2*c^4*d^6+1008*a*b^3*c^5*d^5+210*b^4*c^6*d^4)*x^9+1/8*(120*a^4*c^3*d^7+840*a^3*b*c^4*d^6+1512*a^2*b^2*c^5*d^5+840*a*b^3*c^6*d^4+120*b^4*c^7*d^3)*x^8+1/7*(210*a^4*c^4*d^6+1008*a^3*b*c^5*d^5+1260*a^2*b^2*c^6*d^4+480*a*b^3*c^7*d^3+45*b^4*c^8*d^2)*x^7+1/6*(252*a^4*c^5*d^5+840*a^3*b*c^6*d^4+720*a^2*b^2*c^7*d^3+180*a*b^3*c^8*d^2+10*b^4*c^9*d)*x^6+1/5*(210*a^4*c^6*d^4+480*a^3*b*c^7*d^3+270*a^2*b^2*c^8*d^2+40*a*b^3*c^9*d+b^4*c^10)*x^5+1/4*(120*a^4*c^7*d^3+180*a^3*b*c^8*d^2+60*a^2*b^2*c^9*d+4*a*b^3*c^10)*x^4+1/3*(45*a^4*c^8*d^2+40*a^3*b*c^9*d+6*a^2*b^2*c^10)*x^3+1/2*(10*a^4*c^9*d+4*a^3*b*c^10)*x^2+a^4*c^10*x","B"
1308,1,541,84,0.002000," ","int((b*x+a)^3*(d*x+c)^10,x)","\frac{b^{3} d^{10} x^{14}}{14}+a^{3} c^{10} x +\frac{\left(3 a \,b^{2} d^{10}+10 b^{3} c \,d^{9}\right) x^{13}}{13}+\frac{\left(3 a^{2} b \,d^{10}+30 a \,b^{2} c \,d^{9}+45 b^{3} c^{2} d^{8}\right) x^{12}}{12}+\frac{\left(a^{3} d^{10}+30 a^{2} b c \,d^{9}+135 a \,b^{2} c^{2} d^{8}+120 b^{3} c^{3} d^{7}\right) x^{11}}{11}+\frac{\left(10 a^{3} c \,d^{9}+135 a^{2} b \,c^{2} d^{8}+360 a \,b^{2} c^{3} d^{7}+210 b^{3} c^{4} d^{6}\right) x^{10}}{10}+\frac{\left(45 a^{3} c^{2} d^{8}+360 a^{2} b \,c^{3} d^{7}+630 a \,b^{2} c^{4} d^{6}+252 b^{3} c^{5} d^{5}\right) x^{9}}{9}+\frac{\left(120 a^{3} c^{3} d^{7}+630 a^{2} b \,c^{4} d^{6}+756 a \,b^{2} c^{5} d^{5}+210 b^{3} c^{6} d^{4}\right) x^{8}}{8}+\frac{\left(210 a^{3} c^{4} d^{6}+756 a^{2} b \,c^{5} d^{5}+630 a \,b^{2} c^{6} d^{4}+120 b^{3} c^{7} d^{3}\right) x^{7}}{7}+\frac{\left(252 a^{3} c^{5} d^{5}+630 a^{2} b \,c^{6} d^{4}+360 a \,b^{2} c^{7} d^{3}+45 b^{3} c^{8} d^{2}\right) x^{6}}{6}+\frac{\left(210 a^{3} c^{6} d^{4}+360 a^{2} b \,c^{7} d^{3}+135 a \,b^{2} c^{8} d^{2}+10 b^{3} c^{9} d \right) x^{5}}{5}+\frac{\left(120 a^{3} c^{7} d^{3}+135 a^{2} b \,c^{8} d^{2}+30 a \,b^{2} c^{9} d +b^{3} c^{10}\right) x^{4}}{4}+\frac{\left(45 a^{3} c^{8} d^{2}+30 a^{2} b \,c^{9} d +3 a \,b^{2} c^{10}\right) x^{3}}{3}+\frac{\left(10 a^{3} c^{9} d +3 a^{2} b \,c^{10}\right) x^{2}}{2}"," ",0,"1/14*b^3*d^10*x^14+1/13*(3*a*b^2*d^10+10*b^3*c*d^9)*x^13+1/12*(3*a^2*b*d^10+30*a*b^2*c*d^9+45*b^3*c^2*d^8)*x^12+1/11*(a^3*d^10+30*a^2*b*c*d^9+135*a*b^2*c^2*d^8+120*b^3*c^3*d^7)*x^11+1/10*(10*a^3*c*d^9+135*a^2*b*c^2*d^8+360*a*b^2*c^3*d^7+210*b^3*c^4*d^6)*x^10+1/9*(45*a^3*c^2*d^8+360*a^2*b*c^3*d^7+630*a*b^2*c^4*d^6+252*b^3*c^5*d^5)*x^9+1/8*(120*a^3*c^3*d^7+630*a^2*b*c^4*d^6+756*a*b^2*c^5*d^5+210*b^3*c^6*d^4)*x^8+1/7*(210*a^3*c^4*d^6+756*a^2*b*c^5*d^5+630*a*b^2*c^6*d^4+120*b^3*c^7*d^3)*x^7+1/6*(252*a^3*c^5*d^5+630*a^2*b*c^6*d^4+360*a*b^2*c^7*d^3+45*b^3*c^8*d^2)*x^6+1/5*(210*a^3*c^6*d^4+360*a^2*b*c^7*d^3+135*a*b^2*c^8*d^2+10*b^3*c^9*d)*x^5+1/4*(120*a^3*c^7*d^3+135*a^2*b*c^8*d^2+30*a*b^2*c^9*d+b^3*c^10)*x^4+1/3*(45*a^3*c^8*d^2+30*a^2*b*c^9*d+3*a*b^2*c^10)*x^3+1/2*(10*a^3*c^9*d+3*a^2*b*c^10)*x^2+a^3*c^10*x","B"
1309,1,391,59,0.001000," ","int((b*x+a)^2*(d*x+c)^10,x)","\frac{b^{2} d^{10} x^{13}}{13}+a^{2} c^{10} x +\frac{\left(2 a b \,d^{10}+10 b^{2} c \,d^{9}\right) x^{12}}{12}+\frac{\left(a^{2} d^{10}+20 a b c \,d^{9}+45 b^{2} c^{2} d^{8}\right) x^{11}}{11}+\frac{\left(10 a^{2} c \,d^{9}+90 a b \,c^{2} d^{8}+120 b^{2} c^{3} d^{7}\right) x^{10}}{10}+\frac{\left(45 a^{2} c^{2} d^{8}+240 a b \,c^{3} d^{7}+210 b^{2} c^{4} d^{6}\right) x^{9}}{9}+\frac{\left(120 a^{2} c^{3} d^{7}+420 a b \,c^{4} d^{6}+252 b^{2} c^{5} d^{5}\right) x^{8}}{8}+\frac{\left(210 a^{2} c^{4} d^{6}+504 a b \,c^{5} d^{5}+210 b^{2} c^{6} d^{4}\right) x^{7}}{7}+\frac{\left(252 a^{2} c^{5} d^{5}+420 a b \,c^{6} d^{4}+120 b^{2} c^{7} d^{3}\right) x^{6}}{6}+\frac{\left(210 a^{2} c^{6} d^{4}+240 a b \,c^{7} d^{3}+45 b^{2} c^{8} d^{2}\right) x^{5}}{5}+\frac{\left(120 a^{2} c^{7} d^{3}+90 a b \,c^{8} d^{2}+10 b^{2} c^{9} d \right) x^{4}}{4}+\frac{\left(45 a^{2} c^{8} d^{2}+20 a b \,c^{9} d +b^{2} c^{10}\right) x^{3}}{3}+\frac{\left(10 a^{2} c^{9} d +2 a b \,c^{10}\right) x^{2}}{2}"," ",0,"1/13*b^2*d^10*x^13+1/12*(2*a*b*d^10+10*b^2*c*d^9)*x^12+1/11*(a^2*d^10+20*a*b*c*d^9+45*b^2*c^2*d^8)*x^11+1/10*(10*a^2*c*d^9+90*a*b*c^2*d^8+120*b^2*c^3*d^7)*x^10+1/9*(45*a^2*c^2*d^8+240*a*b*c^3*d^7+210*b^2*c^4*d^6)*x^9+1/8*(120*a^2*c^3*d^7+420*a*b*c^4*d^6+252*b^2*c^5*d^5)*x^8+1/7*(210*a^2*c^4*d^6+504*a*b*c^5*d^5+210*b^2*c^6*d^4)*x^7+1/6*(252*a^2*c^5*d^5+420*a*b*c^6*d^4+120*b^2*c^7*d^3)*x^6+1/5*(210*a^2*c^6*d^4+240*a*b*c^7*d^3+45*b^2*c^8*d^2)*x^5+1/4*(120*a^2*c^7*d^3+90*a*b*c^8*d^2+10*b^2*c^9*d)*x^4+1/3*(45*a^2*c^8*d^2+20*a*b*c^9*d+b^2*c^10)*x^3+1/2*(10*a^2*c^9*d+2*a*b*c^10)*x^2+a^2*c^10*x","B"
1310,1,241,34,0.001000," ","int((b*x+a)*(d*x+c)^10,x)","\frac{b \,d^{10} x^{12}}{12}+a \,c^{10} x +\frac{\left(a \,d^{10}+10 b c \,d^{9}\right) x^{11}}{11}+\frac{\left(10 a c \,d^{9}+45 b \,c^{2} d^{8}\right) x^{10}}{10}+\frac{\left(45 a \,c^{2} d^{8}+120 b \,c^{3} d^{7}\right) x^{9}}{9}+\frac{\left(120 a \,c^{3} d^{7}+210 b \,c^{4} d^{6}\right) x^{8}}{8}+\frac{\left(210 a \,c^{4} d^{6}+252 b \,c^{5} d^{5}\right) x^{7}}{7}+\frac{\left(252 a \,c^{5} d^{5}+210 b \,c^{6} d^{4}\right) x^{6}}{6}+\frac{\left(210 a \,c^{6} d^{4}+120 b \,c^{7} d^{3}\right) x^{5}}{5}+\frac{\left(120 a \,c^{7} d^{3}+45 b \,c^{8} d^{2}\right) x^{4}}{4}+\frac{\left(45 a \,c^{8} d^{2}+10 b \,c^{9} d \right) x^{3}}{3}+\frac{\left(10 a \,c^{9} d +b \,c^{10}\right) x^{2}}{2}"," ",0,"1/12*b*d^10*x^12+1/11*(a*d^10+10*b*c*d^9)*x^11+1/10*(10*a*c*d^9+45*b*c^2*d^8)*x^10+1/9*(45*a*c^2*d^8+120*b*c^3*d^7)*x^9+1/8*(120*a*c^3*d^7+210*b*c^4*d^6)*x^8+1/7*(210*a*c^4*d^6+252*b*c^5*d^5)*x^7+1/6*(252*a*c^5*d^5+210*b*c^6*d^4)*x^6+1/5*(210*a*c^6*d^4+120*b*c^7*d^3)*x^5+1/4*(120*a*c^7*d^3+45*b*c^8*d^2)*x^4+1/3*(45*a*c^8*d^2+10*b*c^9*d)*x^3+1/2*(10*a*c^9*d+b*c^10)*x^2+a*c^10*x","B"
1311,1,13,12,0.001000," ","int((d*x+c)^10,x)","\frac{\left(d x +c \right)^{11}}{11 d}"," ",0,"1/11*(d*x+c)^11/d","A"
1312,1,1022,223,0.009000," ","int((d*x+c)^10/(b*x+a),x)","\frac{d^{10} x^{10}}{10 b}-\frac{a \,d^{10} x^{9}}{9 b^{2}}+\frac{10 c \,d^{9} x^{9}}{9 b}+\frac{a^{2} d^{10} x^{8}}{8 b^{3}}-\frac{5 a c \,d^{9} x^{8}}{4 b^{2}}+\frac{45 c^{2} d^{8} x^{8}}{8 b}-\frac{a^{3} d^{10} x^{7}}{7 b^{4}}+\frac{10 a^{2} c \,d^{9} x^{7}}{7 b^{3}}-\frac{45 a \,c^{2} d^{8} x^{7}}{7 b^{2}}+\frac{120 c^{3} d^{7} x^{7}}{7 b}+\frac{a^{4} d^{10} x^{6}}{6 b^{5}}-\frac{5 a^{3} c \,d^{9} x^{6}}{3 b^{4}}+\frac{15 a^{2} c^{2} d^{8} x^{6}}{2 b^{3}}-\frac{20 a \,c^{3} d^{7} x^{6}}{b^{2}}+\frac{35 c^{4} d^{6} x^{6}}{b}-\frac{a^{5} d^{10} x^{5}}{5 b^{6}}+\frac{2 a^{4} c \,d^{9} x^{5}}{b^{5}}-\frac{9 a^{3} c^{2} d^{8} x^{5}}{b^{4}}+\frac{24 a^{2} c^{3} d^{7} x^{5}}{b^{3}}-\frac{42 a \,c^{4} d^{6} x^{5}}{b^{2}}+\frac{252 c^{5} d^{5} x^{5}}{5 b}+\frac{a^{6} d^{10} x^{4}}{4 b^{7}}-\frac{5 a^{5} c \,d^{9} x^{4}}{2 b^{6}}+\frac{45 a^{4} c^{2} d^{8} x^{4}}{4 b^{5}}-\frac{30 a^{3} c^{3} d^{7} x^{4}}{b^{4}}+\frac{105 a^{2} c^{4} d^{6} x^{4}}{2 b^{3}}-\frac{63 a \,c^{5} d^{5} x^{4}}{b^{2}}+\frac{105 c^{6} d^{4} x^{4}}{2 b}-\frac{a^{7} d^{10} x^{3}}{3 b^{8}}+\frac{10 a^{6} c \,d^{9} x^{3}}{3 b^{7}}-\frac{15 a^{5} c^{2} d^{8} x^{3}}{b^{6}}+\frac{40 a^{4} c^{3} d^{7} x^{3}}{b^{5}}-\frac{70 a^{3} c^{4} d^{6} x^{3}}{b^{4}}+\frac{84 a^{2} c^{5} d^{5} x^{3}}{b^{3}}-\frac{70 a \,c^{6} d^{4} x^{3}}{b^{2}}+\frac{40 c^{7} d^{3} x^{3}}{b}+\frac{a^{8} d^{10} x^{2}}{2 b^{9}}-\frac{5 a^{7} c \,d^{9} x^{2}}{b^{8}}+\frac{45 a^{6} c^{2} d^{8} x^{2}}{2 b^{7}}-\frac{60 a^{5} c^{3} d^{7} x^{2}}{b^{6}}+\frac{105 a^{4} c^{4} d^{6} x^{2}}{b^{5}}-\frac{126 a^{3} c^{5} d^{5} x^{2}}{b^{4}}+\frac{105 a^{2} c^{6} d^{4} x^{2}}{b^{3}}-\frac{60 a \,c^{7} d^{3} x^{2}}{b^{2}}+\frac{45 c^{8} d^{2} x^{2}}{2 b}+\frac{a^{10} d^{10} \ln \left(b x +a \right)}{b^{11}}-\frac{10 a^{9} c \,d^{9} \ln \left(b x +a \right)}{b^{10}}-\frac{a^{9} d^{10} x}{b^{10}}+\frac{45 a^{8} c^{2} d^{8} \ln \left(b x +a \right)}{b^{9}}+\frac{10 a^{8} c \,d^{9} x}{b^{9}}-\frac{120 a^{7} c^{3} d^{7} \ln \left(b x +a \right)}{b^{8}}-\frac{45 a^{7} c^{2} d^{8} x}{b^{8}}+\frac{210 a^{6} c^{4} d^{6} \ln \left(b x +a \right)}{b^{7}}+\frac{120 a^{6} c^{3} d^{7} x}{b^{7}}-\frac{252 a^{5} c^{5} d^{5} \ln \left(b x +a \right)}{b^{6}}-\frac{210 a^{5} c^{4} d^{6} x}{b^{6}}+\frac{210 a^{4} c^{6} d^{4} \ln \left(b x +a \right)}{b^{5}}+\frac{252 a^{4} c^{5} d^{5} x}{b^{5}}-\frac{120 a^{3} c^{7} d^{3} \ln \left(b x +a \right)}{b^{4}}-\frac{210 a^{3} c^{6} d^{4} x}{b^{4}}+\frac{45 a^{2} c^{8} d^{2} \ln \left(b x +a \right)}{b^{3}}+\frac{120 a^{2} c^{7} d^{3} x}{b^{3}}-\frac{10 a \,c^{9} d \ln \left(b x +a \right)}{b^{2}}-\frac{45 a \,c^{8} d^{2} x}{b^{2}}+\frac{c^{10} \ln \left(b x +a \right)}{b}+\frac{10 c^{9} d x}{b}"," ",0,"105/2*d^4/b*x^4*c^6-1/3*d^10/b^8*x^3*a^7+40*d^3/b*x^3*c^7+1/2*d^10/b^9*x^2*a^8+45/2*d^2/b*x^2*c^8+1/8*d^10/b^3*x^8*a^2+45/8*d^8/b*x^8*c^2-1/7*d^10/b^4*x^7*a^3+120/7*d^7/b*x^7*c^3+1/6*d^10/b^5*x^6*a^4+35*d^6/b*x^6*c^4-1/5*d^10/b^6*x^5*a^5+252/5*d^5/b*x^5*c^5+1/4*d^10/b^7*x^4*a^6-1/9*d^10/b^2*x^9*a+10/9*d^9/b*x^9*c+1/b^11*ln(b*x+a)*a^10*d^10+10*d/b*c^9*x-d^10/b^10*a^9*x-42*d^6/b^2*x^5*a*c^4-5/2*d^9/b^6*x^4*a^5*c+10/3*d^9/b^7*x^3*a^6*c-15*d^8/b^6*x^3*a^5*c^2+24*d^7/b^3*x^5*a^2*c^3+40*d^7/b^5*x^3*a^4*c^3-30*d^7/b^4*x^4*a^3*c^3+105/2*d^6/b^3*x^4*a^2*c^4-63*d^5/b^2*x^4*a*c^5-5/4*d^9/b^2*x^8*a*c+2*d^9/b^5*x^5*a^4*c-9*d^8/b^4*x^5*a^3*c^2-5/3*d^9/b^4*x^6*a^3*c+15/2*d^8/b^3*x^6*a^2*c^2-20*d^7/b^2*x^6*a*c^3+10/7*d^9/b^3*x^7*a^2*c-45/7*d^8/b^2*x^7*a*c^2-120/b^8*ln(b*x+a)*a^7*c^3*d^7+210/b^7*ln(b*x+a)*a^6*c^4*d^6-252/b^6*ln(b*x+a)*a^5*c^5*d^5+210/b^5*ln(b*x+a)*a^4*c^6*d^4-120/b^4*ln(b*x+a)*a^3*c^7*d^3+45/b^3*ln(b*x+a)*a^2*c^8*d^2-10/b^2*ln(b*x+a)*a*c^9*d-10/b^10*ln(b*x+a)*a^9*c*d^9+45/b^9*ln(b*x+a)*a^8*c^2*d^8+1/10*d^10/b*x^10+1/b*ln(b*x+a)*c^10+45/4*d^8/b^5*x^4*a^4*c^2+120*d^3/b^3*a^2*c^7*x-45*d^2/b^2*a*c^8*x-70*d^4/b^2*x^3*a*c^6-5*d^9/b^8*x^2*a^7*c+45/2*d^8/b^7*x^2*a^6*c^2-60*d^7/b^6*x^2*a^5*c^3+105*d^6/b^5*x^2*a^4*c^4-126*d^5/b^4*x^2*a^3*c^5+105*d^4/b^3*x^2*a^2*c^6-60*d^3/b^2*x^2*a*c^7+10*d^9/b^9*a^8*c*x-45*d^8/b^8*a^7*c^2*x+120*d^7/b^7*a^6*c^3*x-210*d^6/b^6*a^5*c^4*x-70*d^6/b^4*x^3*a^3*c^4+84*d^5/b^3*x^3*a^2*c^5+252*d^5/b^5*a^4*c^5*x-210*d^4/b^4*a^3*c^6*x","B"
1313,1,1066,252,0.016000," ","int((d*x+c)^10/(b*x+a)^2,x)","\frac{d^{10} x^{9}}{9 b^{2}}-\frac{a \,d^{10} x^{8}}{4 b^{3}}+\frac{5 c \,d^{9} x^{8}}{4 b^{2}}+\frac{3 a^{2} d^{10} x^{7}}{7 b^{4}}-\frac{20 a c \,d^{9} x^{7}}{7 b^{3}}+\frac{45 c^{2} d^{8} x^{7}}{7 b^{2}}-\frac{2 a^{3} d^{10} x^{6}}{3 b^{5}}+\frac{5 a^{2} c \,d^{9} x^{6}}{b^{4}}-\frac{15 a \,c^{2} d^{8} x^{6}}{b^{3}}+\frac{20 c^{3} d^{7} x^{6}}{b^{2}}+\frac{a^{4} d^{10} x^{5}}{b^{6}}-\frac{8 a^{3} c \,d^{9} x^{5}}{b^{5}}+\frac{27 a^{2} c^{2} d^{8} x^{5}}{b^{4}}-\frac{48 a \,c^{3} d^{7} x^{5}}{b^{3}}+\frac{42 c^{4} d^{6} x^{5}}{b^{2}}-\frac{3 a^{5} d^{10} x^{4}}{2 b^{7}}+\frac{25 a^{4} c \,d^{9} x^{4}}{2 b^{6}}-\frac{45 a^{3} c^{2} d^{8} x^{4}}{b^{5}}+\frac{90 a^{2} c^{3} d^{7} x^{4}}{b^{4}}-\frac{105 a \,c^{4} d^{6} x^{4}}{b^{3}}+\frac{63 c^{5} d^{5} x^{4}}{b^{2}}+\frac{7 a^{6} d^{10} x^{3}}{3 b^{8}}-\frac{20 a^{5} c \,d^{9} x^{3}}{b^{7}}+\frac{75 a^{4} c^{2} d^{8} x^{3}}{b^{6}}-\frac{160 a^{3} c^{3} d^{7} x^{3}}{b^{5}}+\frac{210 a^{2} c^{4} d^{6} x^{3}}{b^{4}}-\frac{168 a \,c^{5} d^{5} x^{3}}{b^{3}}+\frac{70 c^{6} d^{4} x^{3}}{b^{2}}-\frac{4 a^{7} d^{10} x^{2}}{b^{9}}+\frac{35 a^{6} c \,d^{9} x^{2}}{b^{8}}-\frac{135 a^{5} c^{2} d^{8} x^{2}}{b^{7}}+\frac{300 a^{4} c^{3} d^{7} x^{2}}{b^{6}}-\frac{420 a^{3} c^{4} d^{6} x^{2}}{b^{5}}+\frac{378 a^{2} c^{5} d^{5} x^{2}}{b^{4}}-\frac{210 a \,c^{6} d^{4} x^{2}}{b^{3}}+\frac{60 c^{7} d^{3} x^{2}}{b^{2}}-\frac{a^{10} d^{10}}{\left(b x +a \right) b^{11}}+\frac{10 a^{9} c \,d^{9}}{\left(b x +a \right) b^{10}}-\frac{10 a^{9} d^{10} \ln \left(b x +a \right)}{b^{11}}-\frac{45 a^{8} c^{2} d^{8}}{\left(b x +a \right) b^{9}}+\frac{90 a^{8} c \,d^{9} \ln \left(b x +a \right)}{b^{10}}+\frac{9 a^{8} d^{10} x}{b^{10}}+\frac{120 a^{7} c^{3} d^{7}}{\left(b x +a \right) b^{8}}-\frac{360 a^{7} c^{2} d^{8} \ln \left(b x +a \right)}{b^{9}}-\frac{80 a^{7} c \,d^{9} x}{b^{9}}-\frac{210 a^{6} c^{4} d^{6}}{\left(b x +a \right) b^{7}}+\frac{840 a^{6} c^{3} d^{7} \ln \left(b x +a \right)}{b^{8}}+\frac{315 a^{6} c^{2} d^{8} x}{b^{8}}+\frac{252 a^{5} c^{5} d^{5}}{\left(b x +a \right) b^{6}}-\frac{1260 a^{5} c^{4} d^{6} \ln \left(b x +a \right)}{b^{7}}-\frac{720 a^{5} c^{3} d^{7} x}{b^{7}}-\frac{210 a^{4} c^{6} d^{4}}{\left(b x +a \right) b^{5}}+\frac{1260 a^{4} c^{5} d^{5} \ln \left(b x +a \right)}{b^{6}}+\frac{1050 a^{4} c^{4} d^{6} x}{b^{6}}+\frac{120 a^{3} c^{7} d^{3}}{\left(b x +a \right) b^{4}}-\frac{840 a^{3} c^{6} d^{4} \ln \left(b x +a \right)}{b^{5}}-\frac{1008 a^{3} c^{5} d^{5} x}{b^{5}}-\frac{45 a^{2} c^{8} d^{2}}{\left(b x +a \right) b^{3}}+\frac{360 a^{2} c^{7} d^{3} \ln \left(b x +a \right)}{b^{4}}+\frac{630 a^{2} c^{6} d^{4} x}{b^{4}}+\frac{10 a \,c^{9} d}{\left(b x +a \right) b^{2}}-\frac{90 a \,c^{8} d^{2} \ln \left(b x +a \right)}{b^{3}}-\frac{240 a \,c^{7} d^{3} x}{b^{3}}-\frac{c^{10}}{\left(b x +a \right) b}+\frac{10 c^{9} d \ln \left(b x +a \right)}{b^{2}}+\frac{45 c^{8} d^{2} x}{b^{2}}"," ",0,"45*d^2/b^2*c^8*x+9*d^10/b^10*a^8*x-10/b^11*d^10*ln(b*x+a)*a^9+10/b^2*d*ln(b*x+a)*c^9-1/b^11/(b*x+a)*a^10*d^10-4*d^10/b^9*x^2*a^7+60*d^3/b^2*x^2*c^7+3/7*d^10/b^4*x^7*a^2+45/7*d^8/b^2*x^7*c^2-2/3*d^10/b^5*x^6*a^3+20*d^7/b^2*x^6*c^3+42*d^6/b^2*x^5*c^4-3/2*d^10/b^7*x^4*a^5+63*d^5/b^2*x^4*c^5+7/3*d^10/b^8*x^3*a^6+70*d^4/b^2*x^3*c^6-1/4*d^10/b^3*x^8*a+5/4*d^9/b^2*x^8*c+d^10/b^6*x^5*a^4+1/9*d^10/b^2*x^9-1/b/(b*x+a)*c^10+10/b^2/(b*x+a)*a*c^9*d-1008*d^5/b^5*a^3*c^5*x+630*d^4/b^4*a^2*c^6*x-240*d^3/b^3*a*c^7*x+5*d^9/b^4*x^6*a^2*c-15*d^8/b^3*x^6*a*c^2-8*d^9/b^5*x^5*a^3*c+27*d^8/b^4*x^5*a^2*c^2-48*d^7/b^3*x^5*a*c^3+25/2*d^9/b^6*x^4*a^4*c+300*d^7/b^6*x^2*a^4*c^3-420*d^6/b^5*x^2*a^3*c^4+378*d^5/b^4*x^2*a^2*c^5-210*d^4/b^3*x^2*a*c^6-80*d^9/b^9*a^7*c*x+315*d^8/b^8*a^6*c^2*x-720*d^7/b^7*a^5*c^3*x+1050*d^6/b^6*a^4*c^4*x+35*d^9/b^8*x^2*a^6*c-135*d^8/b^7*x^2*a^5*c^2-90/b^3*d^2*ln(b*x+a)*a*c^8+10/b^10/(b*x+a)*a^9*c*d^9-45/b^9/(b*x+a)*a^8*c^2*d^8+120/b^8/(b*x+a)*a^7*c^3*d^7-210/b^7/(b*x+a)*a^6*c^4*d^6+252/b^6/(b*x+a)*a^5*c^5*d^5-210/b^5/(b*x+a)*a^4*c^6*d^4+120/b^4/(b*x+a)*a^3*c^7*d^3-45/b^3/(b*x+a)*a^2*c^8*d^2-840/b^5*d^4*ln(b*x+a)*a^3*c^6+360/b^4*d^3*ln(b*x+a)*a^2*c^7-45*d^8/b^5*x^4*a^3*c^2+90*d^7/b^4*x^4*a^2*c^3-105*d^6/b^3*x^4*a*c^4-20*d^9/b^7*x^3*a^5*c+75*d^8/b^6*x^3*a^4*c^2-160*d^7/b^5*x^3*a^3*c^3+210*d^6/b^4*x^3*a^2*c^4-168*d^5/b^3*x^3*a*c^5-20/7*d^9/b^3*x^7*a*c+90/b^10*d^9*ln(b*x+a)*a^8*c-360/b^9*d^8*ln(b*x+a)*a^7*c^2+840/b^8*d^7*ln(b*x+a)*a^6*c^3-1260/b^7*d^6*ln(b*x+a)*a^5*c^4+1260/b^6*d^5*ln(b*x+a)*a^4*c^5","B"
1314,1,1105,252,0.018000," ","int((d*x+c)^10/(b*x+a)^3,x)","\frac{d^{10} x^{8}}{8 b^{3}}-\frac{3 a \,d^{10} x^{7}}{7 b^{4}}+\frac{10 c \,d^{9} x^{7}}{7 b^{3}}+\frac{a^{2} d^{10} x^{6}}{b^{5}}-\frac{5 a c \,d^{9} x^{6}}{b^{4}}+\frac{15 c^{2} d^{8} x^{6}}{2 b^{3}}-\frac{2 a^{3} d^{10} x^{5}}{b^{6}}+\frac{12 a^{2} c \,d^{9} x^{5}}{b^{5}}-\frac{27 a \,c^{2} d^{8} x^{5}}{b^{4}}+\frac{24 c^{3} d^{7} x^{5}}{b^{3}}+\frac{15 a^{4} d^{10} x^{4}}{4 b^{7}}-\frac{25 a^{3} c \,d^{9} x^{4}}{b^{6}}+\frac{135 a^{2} c^{2} d^{8} x^{4}}{2 b^{5}}-\frac{90 a \,c^{3} d^{7} x^{4}}{b^{4}}+\frac{105 c^{4} d^{6} x^{4}}{2 b^{3}}-\frac{7 a^{5} d^{10} x^{3}}{b^{8}}+\frac{50 a^{4} c \,d^{9} x^{3}}{b^{7}}-\frac{150 a^{3} c^{2} d^{8} x^{3}}{b^{6}}+\frac{240 a^{2} c^{3} d^{7} x^{3}}{b^{5}}-\frac{210 a \,c^{4} d^{6} x^{3}}{b^{4}}+\frac{84 c^{5} d^{5} x^{3}}{b^{3}}-\frac{a^{10} d^{10}}{2 \left(b x +a \right)^{2} b^{11}}+\frac{5 a^{9} c \,d^{9}}{\left(b x +a \right)^{2} b^{10}}-\frac{45 a^{8} c^{2} d^{8}}{2 \left(b x +a \right)^{2} b^{9}}+\frac{60 a^{7} c^{3} d^{7}}{\left(b x +a \right)^{2} b^{8}}-\frac{105 a^{6} c^{4} d^{6}}{\left(b x +a \right)^{2} b^{7}}+\frac{14 a^{6} d^{10} x^{2}}{b^{9}}+\frac{126 a^{5} c^{5} d^{5}}{\left(b x +a \right)^{2} b^{6}}-\frac{105 a^{5} c \,d^{9} x^{2}}{b^{8}}-\frac{105 a^{4} c^{6} d^{4}}{\left(b x +a \right)^{2} b^{5}}+\frac{675 a^{4} c^{2} d^{8} x^{2}}{2 b^{7}}+\frac{60 a^{3} c^{7} d^{3}}{\left(b x +a \right)^{2} b^{4}}-\frac{600 a^{3} c^{3} d^{7} x^{2}}{b^{6}}-\frac{45 a^{2} c^{8} d^{2}}{2 \left(b x +a \right)^{2} b^{3}}+\frac{630 a^{2} c^{4} d^{6} x^{2}}{b^{5}}+\frac{5 a \,c^{9} d}{\left(b x +a \right)^{2} b^{2}}-\frac{378 a \,c^{5} d^{5} x^{2}}{b^{4}}-\frac{c^{10}}{2 \left(b x +a \right)^{2} b}+\frac{105 c^{6} d^{4} x^{2}}{b^{3}}+\frac{10 a^{9} d^{10}}{\left(b x +a \right) b^{11}}-\frac{90 a^{8} c \,d^{9}}{\left(b x +a \right) b^{10}}+\frac{45 a^{8} d^{10} \ln \left(b x +a \right)}{b^{11}}+\frac{360 a^{7} c^{2} d^{8}}{\left(b x +a \right) b^{9}}-\frac{360 a^{7} c \,d^{9} \ln \left(b x +a \right)}{b^{10}}-\frac{36 a^{7} d^{10} x}{b^{10}}-\frac{840 a^{6} c^{3} d^{7}}{\left(b x +a \right) b^{8}}+\frac{1260 a^{6} c^{2} d^{8} \ln \left(b x +a \right)}{b^{9}}+\frac{280 a^{6} c \,d^{9} x}{b^{9}}+\frac{1260 a^{5} c^{4} d^{6}}{\left(b x +a \right) b^{7}}-\frac{2520 a^{5} c^{3} d^{7} \ln \left(b x +a \right)}{b^{8}}-\frac{945 a^{5} c^{2} d^{8} x}{b^{8}}-\frac{1260 a^{4} c^{5} d^{5}}{\left(b x +a \right) b^{6}}+\frac{3150 a^{4} c^{4} d^{6} \ln \left(b x +a \right)}{b^{7}}+\frac{1800 a^{4} c^{3} d^{7} x}{b^{7}}+\frac{840 a^{3} c^{6} d^{4}}{\left(b x +a \right) b^{5}}-\frac{2520 a^{3} c^{5} d^{5} \ln \left(b x +a \right)}{b^{6}}-\frac{2100 a^{3} c^{4} d^{6} x}{b^{6}}-\frac{360 a^{2} c^{7} d^{3}}{\left(b x +a \right) b^{4}}+\frac{1260 a^{2} c^{6} d^{4} \ln \left(b x +a \right)}{b^{5}}+\frac{1512 a^{2} c^{5} d^{5} x}{b^{5}}+\frac{90 a \,c^{8} d^{2}}{\left(b x +a \right) b^{3}}-\frac{360 a \,c^{7} d^{3} \ln \left(b x +a \right)}{b^{4}}-\frac{630 a \,c^{6} d^{4} x}{b^{4}}-\frac{10 c^{9} d}{\left(b x +a \right) b^{2}}+\frac{45 c^{8} d^{2} \ln \left(b x +a \right)}{b^{3}}+\frac{120 c^{7} d^{3} x}{b^{3}}"," ",0,"-1/2/b^11/(b*x+a)^2*a^10*d^10+45/b^11*d^10*ln(b*x+a)*a^8+45/b^3*d^2*ln(b*x+a)*c^8+10/b^11*d^10/(b*x+a)*a^9-10/b^2*d/(b*x+a)*c^9+105/2*d^6/b^3*x^4*c^4-7*d^10/b^8*x^3*a^5+84*d^5/b^3*x^3*c^5+14*d^10/b^9*x^2*a^6+105*d^4/b^3*x^2*c^6-3/7*d^10/b^4*x^7*a+10/7*d^9/b^3*x^7*c+15/2*d^8/b^3*x^6*c^2-2*d^10/b^6*x^5*a^3+24*d^7/b^3*x^5*c^3+15/4*d^10/b^7*x^4*a^4+d^10/b^5*x^6*a^2-36*d^10/b^10*a^7*x+120*d^3/b^3*c^7*x-105/b^5/(b*x+a)^2*a^4*c^6*d^4+60/b^4/(b*x+a)^2*a^3*c^7*d^3-45/2/b^3/(b*x+a)^2*a^2*c^8*d^2+5/b^2/(b*x+a)^2*a*c^9*d-360/b^10*d^9*ln(b*x+a)*a^7*c+1/8*d^10/b^3*x^8-1/2/b/(b*x+a)^2*c^10+1260/b^9*d^8*ln(b*x+a)*a^6*c^2-2520/b^8*d^7*ln(b*x+a)*a^5*c^3+3150/b^7*d^6*ln(b*x+a)*a^4*c^4-2520/b^6*d^5*ln(b*x+a)*a^3*c^5+1260/b^5*d^4*ln(b*x+a)*a^2*c^6-360/b^4*d^3*ln(b*x+a)*a*c^7-90/b^10*d^9/(b*x+a)*a^8*c+360/b^9*d^8/(b*x+a)*a^7*c^2-840/b^8*d^7/(b*x+a)*a^6*c^3+1260/b^7*d^6/(b*x+a)*a^5*c^4-1260/b^6*d^5/(b*x+a)*a^4*c^5+840/b^5*d^4/(b*x+a)*a^3*c^6-360/b^4*d^3/(b*x+a)*a^2*c^7+90/b^3*d^2/(b*x+a)*a*c^8+675/2*d^8/b^7*x^2*a^4*c^2-600*d^7/b^6*x^2*a^3*c^3+630*d^6/b^5*x^2*a^2*c^4-378*d^5/b^4*x^2*a*c^5+280*d^9/b^9*a^6*c*x-945*d^8/b^8*a^5*c^2*x+1800*d^7/b^7*a^4*c^3*x-2100*d^6/b^6*a^3*c^4*x+1512*d^5/b^5*a^2*c^5*x-630*d^4/b^4*a*c^6*x-27*d^8/b^4*x^5*a*c^2-25*d^9/b^6*x^4*a^3*c+135/2*d^8/b^5*x^4*a^2*c^2-90*d^7/b^4*x^4*a*c^3+50*d^9/b^7*x^3*a^4*c-150*d^8/b^6*x^3*a^3*c^2+240*d^7/b^5*x^3*a^2*c^3-210*d^6/b^4*x^3*a*c^4-105*d^9/b^8*x^2*a^5*c-5*d^9/b^4*x^6*a*c+12*d^9/b^5*x^5*a^2*c+5/b^10/(b*x+a)^2*a^9*c*d^9-45/2/b^9/(b*x+a)^2*a^8*c^2*d^8+60/b^8/(b*x+a)^2*a^7*c^3*d^7-105/b^7/(b*x+a)^2*a^6*c^4*d^6+126/b^6/(b*x+a)^2*a^5*c^5*d^5","B"
1315,1,1141,252,0.022000," ","int((d*x+c)^10/(b*x+a)^4,x)","\frac{d^{10} x^{7}}{7 b^{4}}-\frac{2 a \,d^{10} x^{6}}{3 b^{5}}+\frac{5 c \,d^{9} x^{6}}{3 b^{4}}+\frac{2 a^{2} d^{10} x^{5}}{b^{6}}-\frac{8 a c \,d^{9} x^{5}}{b^{5}}+\frac{9 c^{2} d^{8} x^{5}}{b^{4}}-\frac{5 a^{3} d^{10} x^{4}}{b^{7}}+\frac{25 a^{2} c \,d^{9} x^{4}}{b^{6}}-\frac{45 a \,c^{2} d^{8} x^{4}}{b^{5}}+\frac{30 c^{3} d^{7} x^{4}}{b^{4}}-\frac{a^{10} d^{10}}{3 \left(b x +a \right)^{3} b^{11}}+\frac{10 a^{9} c \,d^{9}}{3 \left(b x +a \right)^{3} b^{10}}-\frac{15 a^{8} c^{2} d^{8}}{\left(b x +a \right)^{3} b^{9}}+\frac{40 a^{7} c^{3} d^{7}}{\left(b x +a \right)^{3} b^{8}}-\frac{70 a^{6} c^{4} d^{6}}{\left(b x +a \right)^{3} b^{7}}+\frac{84 a^{5} c^{5} d^{5}}{\left(b x +a \right)^{3} b^{6}}-\frac{70 a^{4} c^{6} d^{4}}{\left(b x +a \right)^{3} b^{5}}+\frac{35 a^{4} d^{10} x^{3}}{3 b^{8}}+\frac{40 a^{3} c^{7} d^{3}}{\left(b x +a \right)^{3} b^{4}}-\frac{200 a^{3} c \,d^{9} x^{3}}{3 b^{7}}-\frac{15 a^{2} c^{8} d^{2}}{\left(b x +a \right)^{3} b^{3}}+\frac{150 a^{2} c^{2} d^{8} x^{3}}{b^{6}}+\frac{10 a \,c^{9} d}{3 \left(b x +a \right)^{3} b^{2}}-\frac{160 a \,c^{3} d^{7} x^{3}}{b^{5}}-\frac{c^{10}}{3 \left(b x +a \right)^{3} b}+\frac{70 c^{4} d^{6} x^{3}}{b^{4}}+\frac{5 a^{9} d^{10}}{\left(b x +a \right)^{2} b^{11}}-\frac{45 a^{8} c \,d^{9}}{\left(b x +a \right)^{2} b^{10}}+\frac{180 a^{7} c^{2} d^{8}}{\left(b x +a \right)^{2} b^{9}}-\frac{420 a^{6} c^{3} d^{7}}{\left(b x +a \right)^{2} b^{8}}+\frac{630 a^{5} c^{4} d^{6}}{\left(b x +a \right)^{2} b^{7}}-\frac{28 a^{5} d^{10} x^{2}}{b^{9}}-\frac{630 a^{4} c^{5} d^{5}}{\left(b x +a \right)^{2} b^{6}}+\frac{175 a^{4} c \,d^{9} x^{2}}{b^{8}}+\frac{420 a^{3} c^{6} d^{4}}{\left(b x +a \right)^{2} b^{5}}-\frac{450 a^{3} c^{2} d^{8} x^{2}}{b^{7}}-\frac{180 a^{2} c^{7} d^{3}}{\left(b x +a \right)^{2} b^{4}}+\frac{600 a^{2} c^{3} d^{7} x^{2}}{b^{6}}+\frac{45 a \,c^{8} d^{2}}{\left(b x +a \right)^{2} b^{3}}-\frac{420 a \,c^{4} d^{6} x^{2}}{b^{5}}-\frac{5 c^{9} d}{\left(b x +a \right)^{2} b^{2}}+\frac{126 c^{5} d^{5} x^{2}}{b^{4}}-\frac{45 a^{8} d^{10}}{\left(b x +a \right) b^{11}}+\frac{360 a^{7} c \,d^{9}}{\left(b x +a \right) b^{10}}-\frac{120 a^{7} d^{10} \ln \left(b x +a \right)}{b^{11}}-\frac{1260 a^{6} c^{2} d^{8}}{\left(b x +a \right) b^{9}}+\frac{840 a^{6} c \,d^{9} \ln \left(b x +a \right)}{b^{10}}+\frac{84 a^{6} d^{10} x}{b^{10}}+\frac{2520 a^{5} c^{3} d^{7}}{\left(b x +a \right) b^{8}}-\frac{2520 a^{5} c^{2} d^{8} \ln \left(b x +a \right)}{b^{9}}-\frac{560 a^{5} c \,d^{9} x}{b^{9}}-\frac{3150 a^{4} c^{4} d^{6}}{\left(b x +a \right) b^{7}}+\frac{4200 a^{4} c^{3} d^{7} \ln \left(b x +a \right)}{b^{8}}+\frac{1575 a^{4} c^{2} d^{8} x}{b^{8}}+\frac{2520 a^{3} c^{5} d^{5}}{\left(b x +a \right) b^{6}}-\frac{4200 a^{3} c^{4} d^{6} \ln \left(b x +a \right)}{b^{7}}-\frac{2400 a^{3} c^{3} d^{7} x}{b^{7}}-\frac{1260 a^{2} c^{6} d^{4}}{\left(b x +a \right) b^{5}}+\frac{2520 a^{2} c^{5} d^{5} \ln \left(b x +a \right)}{b^{6}}+\frac{2100 a^{2} c^{4} d^{6} x}{b^{6}}+\frac{360 a \,c^{7} d^{3}}{\left(b x +a \right) b^{4}}-\frac{840 a \,c^{6} d^{4} \ln \left(b x +a \right)}{b^{5}}-\frac{1008 a \,c^{5} d^{5} x}{b^{5}}-\frac{45 c^{8} d^{2}}{\left(b x +a \right) b^{3}}+\frac{120 c^{7} d^{3} \ln \left(b x +a \right)}{b^{4}}+\frac{210 c^{6} d^{4} x}{b^{4}}"," ",0,"-1/3/b^11/(b*x+a)^3*a^10*d^10+5/b^11*d^10/(b*x+a)^2*a^9-5/b^2*d/(b*x+a)^2*c^9-120/b^11*d^10*ln(b*x+a)*a^7+120/b^4*d^3*ln(b*x+a)*c^7-45/b^11*d^10/(b*x+a)*a^8-45/b^3*d^2/(b*x+a)*c^8+9*d^8/b^4*x^5*c^2-5*d^10/b^7*x^4*a^3+30*d^7/b^4*x^4*c^3+35/3*d^10/b^8*x^3*a^4+70*d^6/b^4*x^3*c^4-28*d^10/b^9*x^2*a^5+126*d^5/b^4*x^2*c^5-2/3*d^10/b^5*x^6*a+5/3*d^9/b^4*x^6*c+2*d^10/b^6*x^5*a^2+210*d^4/b^4*c^6*x+84*d^10/b^10*a^6*x+1/7*d^10/b^4*x^7-1/3/b/(b*x+a)^3*c^10-70/b^5/(b*x+a)^3*a^4*c^6*d^4+40/b^4/(b*x+a)^3*a^3*c^7*d^3-15/b^3/(b*x+a)^3*a^2*c^8*d^2+10/3/b^2/(b*x+a)^3*a*c^9*d-45/b^10*d^9/(b*x+a)^2*a^8*c+180/b^9*d^8/(b*x+a)^2*a^7*c^2-420/b^8*d^7/(b*x+a)^2*a^6*c^3+630/b^7*d^6/(b*x+a)^2*a^5*c^4-630/b^6*d^5/(b*x+a)^2*a^4*c^5+420/b^5*d^4/(b*x+a)^2*a^3*c^6-180/b^4*d^3/(b*x+a)^2*a^2*c^7+45/b^3*d^2/(b*x+a)^2*a*c^8+840/b^10*d^9*ln(b*x+a)*a^6*c-2520/b^9*d^8*ln(b*x+a)*a^5*c^2+4200/b^8*d^7*ln(b*x+a)*a^4*c^3-4200/b^7*d^6*ln(b*x+a)*a^3*c^4+2520/b^6*d^5*ln(b*x+a)*a^2*c^5-840/b^5*d^4*ln(b*x+a)*a*c^6+360/b^10*d^9/(b*x+a)*a^7*c-1260/b^9*d^8/(b*x+a)*a^6*c^2+2520/b^8*d^7/(b*x+a)*a^5*c^3-3150/b^7*d^6/(b*x+a)*a^4*c^4+2520/b^6*d^5/(b*x+a)*a^3*c^5-1260/b^5*d^4/(b*x+a)*a^2*c^6+360/b^4*d^3/(b*x+a)*a*c^7-200/3*d^9/b^7*x^3*a^3*c-8*d^9/b^5*x^5*a*c-560*d^9/b^9*a^5*c*x+1575*d^8/b^8*a^4*c^2*x-2400*d^7/b^7*a^3*c^3*x+2100*d^6/b^6*a^2*c^4*x-1008*d^5/b^5*a*c^5*x-450*d^8/b^7*x^2*a^3*c^2+600*d^7/b^6*x^2*a^2*c^3-420*d^6/b^5*x^2*a*c^4+175*d^9/b^8*x^2*a^4*c+150*d^8/b^6*x^3*a^2*c^2-160*d^7/b^5*x^3*a*c^3+10/3/b^10/(b*x+a)^3*a^9*c*d^9-15/b^9/(b*x+a)^3*a^8*c^2*d^8+40/b^8/(b*x+a)^3*a^7*c^3*d^7+25*d^9/b^6*x^4*a^2*c-45*d^8/b^5*x^4*a*c^2-70/b^7/(b*x+a)^3*a^6*c^4*d^6+84/b^6/(b*x+a)^3*a^5*c^5*d^5","B"
1316,1,1172,252,0.020000," ","int((d*x+c)^10/(b*x+a)^5,x)","\frac{d^{10} x^{6}}{6 b^{5}}-\frac{a \,d^{10} x^{5}}{b^{6}}+\frac{2 c \,d^{9} x^{5}}{b^{5}}-\frac{a^{10} d^{10}}{4 \left(b x +a \right)^{4} b^{11}}+\frac{5 a^{9} c \,d^{9}}{2 \left(b x +a \right)^{4} b^{10}}-\frac{45 a^{8} c^{2} d^{8}}{4 \left(b x +a \right)^{4} b^{9}}+\frac{30 a^{7} c^{3} d^{7}}{\left(b x +a \right)^{4} b^{8}}-\frac{105 a^{6} c^{4} d^{6}}{2 \left(b x +a \right)^{4} b^{7}}+\frac{63 a^{5} c^{5} d^{5}}{\left(b x +a \right)^{4} b^{6}}-\frac{105 a^{4} c^{6} d^{4}}{2 \left(b x +a \right)^{4} b^{5}}+\frac{30 a^{3} c^{7} d^{3}}{\left(b x +a \right)^{4} b^{4}}-\frac{45 a^{2} c^{8} d^{2}}{4 \left(b x +a \right)^{4} b^{3}}+\frac{15 a^{2} d^{10} x^{4}}{4 b^{7}}+\frac{5 a \,c^{9} d}{2 \left(b x +a \right)^{4} b^{2}}-\frac{25 a c \,d^{9} x^{4}}{2 b^{6}}-\frac{c^{10}}{4 \left(b x +a \right)^{4} b}+\frac{45 c^{2} d^{8} x^{4}}{4 b^{5}}+\frac{10 a^{9} d^{10}}{3 \left(b x +a \right)^{3} b^{11}}-\frac{30 a^{8} c \,d^{9}}{\left(b x +a \right)^{3} b^{10}}+\frac{120 a^{7} c^{2} d^{8}}{\left(b x +a \right)^{3} b^{9}}-\frac{280 a^{6} c^{3} d^{7}}{\left(b x +a \right)^{3} b^{8}}+\frac{420 a^{5} c^{4} d^{6}}{\left(b x +a \right)^{3} b^{7}}-\frac{420 a^{4} c^{5} d^{5}}{\left(b x +a \right)^{3} b^{6}}+\frac{280 a^{3} c^{6} d^{4}}{\left(b x +a \right)^{3} b^{5}}-\frac{35 a^{3} d^{10} x^{3}}{3 b^{8}}-\frac{120 a^{2} c^{7} d^{3}}{\left(b x +a \right)^{3} b^{4}}+\frac{50 a^{2} c \,d^{9} x^{3}}{b^{7}}+\frac{30 a \,c^{8} d^{2}}{\left(b x +a \right)^{3} b^{3}}-\frac{75 a \,c^{2} d^{8} x^{3}}{b^{6}}-\frac{10 c^{9} d}{3 \left(b x +a \right)^{3} b^{2}}+\frac{40 c^{3} d^{7} x^{3}}{b^{5}}-\frac{45 a^{8} d^{10}}{2 \left(b x +a \right)^{2} b^{11}}+\frac{180 a^{7} c \,d^{9}}{\left(b x +a \right)^{2} b^{10}}-\frac{630 a^{6} c^{2} d^{8}}{\left(b x +a \right)^{2} b^{9}}+\frac{1260 a^{5} c^{3} d^{7}}{\left(b x +a \right)^{2} b^{8}}-\frac{1575 a^{4} c^{4} d^{6}}{\left(b x +a \right)^{2} b^{7}}+\frac{35 a^{4} d^{10} x^{2}}{b^{9}}+\frac{1260 a^{3} c^{5} d^{5}}{\left(b x +a \right)^{2} b^{6}}-\frac{175 a^{3} c \,d^{9} x^{2}}{b^{8}}-\frac{630 a^{2} c^{6} d^{4}}{\left(b x +a \right)^{2} b^{5}}+\frac{675 a^{2} c^{2} d^{8} x^{2}}{2 b^{7}}+\frac{180 a \,c^{7} d^{3}}{\left(b x +a \right)^{2} b^{4}}-\frac{300 a \,c^{3} d^{7} x^{2}}{b^{6}}-\frac{45 c^{8} d^{2}}{2 \left(b x +a \right)^{2} b^{3}}+\frac{105 c^{4} d^{6} x^{2}}{b^{5}}+\frac{120 a^{7} d^{10}}{\left(b x +a \right) b^{11}}-\frac{840 a^{6} c \,d^{9}}{\left(b x +a \right) b^{10}}+\frac{210 a^{6} d^{10} \ln \left(b x +a \right)}{b^{11}}+\frac{2520 a^{5} c^{2} d^{8}}{\left(b x +a \right) b^{9}}-\frac{1260 a^{5} c \,d^{9} \ln \left(b x +a \right)}{b^{10}}-\frac{126 a^{5} d^{10} x}{b^{10}}-\frac{4200 a^{4} c^{3} d^{7}}{\left(b x +a \right) b^{8}}+\frac{3150 a^{4} c^{2} d^{8} \ln \left(b x +a \right)}{b^{9}}+\frac{700 a^{4} c \,d^{9} x}{b^{9}}+\frac{4200 a^{3} c^{4} d^{6}}{\left(b x +a \right) b^{7}}-\frac{4200 a^{3} c^{3} d^{7} \ln \left(b x +a \right)}{b^{8}}-\frac{1575 a^{3} c^{2} d^{8} x}{b^{8}}-\frac{2520 a^{2} c^{5} d^{5}}{\left(b x +a \right) b^{6}}+\frac{3150 a^{2} c^{4} d^{6} \ln \left(b x +a \right)}{b^{7}}+\frac{1800 a^{2} c^{3} d^{7} x}{b^{7}}+\frac{840 a \,c^{6} d^{4}}{\left(b x +a \right) b^{5}}-\frac{1260 a \,c^{5} d^{5} \ln \left(b x +a \right)}{b^{6}}-\frac{1050 a \,c^{4} d^{6} x}{b^{6}}-\frac{120 c^{7} d^{3}}{\left(b x +a \right) b^{4}}+\frac{210 c^{6} d^{4} \ln \left(b x +a \right)}{b^{5}}+\frac{252 c^{5} d^{5} x}{b^{5}}"," ",0,"10/3/b^11*d^10/(b*x+a)^3*a^9-10/3/b^2*d/(b*x+a)^3*c^9-45/2/b^11*d^10/(b*x+a)^2*a^8-45/2/b^3*d^2/(b*x+a)^2*c^8+210/b^11*d^10*ln(b*x+a)*a^6+210/b^5*d^4*ln(b*x+a)*c^6-1/4/b^11/(b*x+a)^4*a^10*d^10+120/b^11*d^10/(b*x+a)*a^7-120/b^4*d^3/(b*x+a)*c^7-d^10/b^6*x^5*a+2*d^9/b^5*x^5*c+15/4*d^10/b^7*x^4*a^2+45/4*d^8/b^5*x^4*c^2-35/3*d^10/b^8*x^3*a^3+40*d^7/b^5*x^3*c^3+35*d^10/b^9*x^2*a^4+105*d^6/b^5*x^2*c^4-126*d^10/b^10*a^5*x+252*d^5/b^5*c^5*x+1/6*d^10/b^5*x^6-1/4/b/(b*x+a)^4*c^10-25/2*d^9/b^6*x^4*a*c+50*d^9/b^7*x^3*a^2*c-1260/b^10*d^9*ln(b*x+a)*a^5*c+3150/b^9*d^8*ln(b*x+a)*a^4*c^2-4200/b^8*d^7*ln(b*x+a)*a^3*c^3+3150/b^7*d^6*ln(b*x+a)*a^2*c^4-1260/b^6*d^5*ln(b*x+a)*a*c^5+5/2/b^10/(b*x+a)^4*a^9*c*d^9-45/4/b^9/(b*x+a)^4*a^8*c^2*d^8+30/b^8/(b*x+a)^4*a^7*c^3*d^7-105/2/b^7/(b*x+a)^4*a^6*c^4*d^6+63/b^6/(b*x+a)^4*a^5*c^5*d^5-105/2/b^5/(b*x+a)^4*a^4*c^6*d^4+30/b^4/(b*x+a)^4*a^3*c^7*d^3-45/4/b^3/(b*x+a)^4*a^2*c^8*d^2+5/2/b^2/(b*x+a)^4*a*c^9*d-840/b^10*d^9/(b*x+a)*a^6*c+2520/b^9*d^8/(b*x+a)*a^5*c^2-4200/b^8*d^7/(b*x+a)*a^4*c^3+4200/b^7*d^6/(b*x+a)*a^3*c^4-2520/b^6*d^5/(b*x+a)*a^2*c^5+840/b^5*d^4/(b*x+a)*a*c^6+700*d^9/b^9*a^4*c*x-1575*d^8/b^8*a^3*c^2*x+1800*d^7/b^7*a^2*c^3*x-1050*d^6/b^6*a*c^4*x-30/b^10*d^9/(b*x+a)^3*a^8*c+120/b^9*d^8/(b*x+a)^3*a^7*c^2-280/b^8*d^7/(b*x+a)^3*a^6*c^3+420/b^7*d^6/(b*x+a)^3*a^5*c^4-420/b^6*d^5/(b*x+a)^3*a^4*c^5+280/b^5*d^4/(b*x+a)^3*a^3*c^6-120/b^4*d^3/(b*x+a)^3*a^2*c^7+30/b^3*d^2/(b*x+a)^3*a*c^8+180/b^10*d^9/(b*x+a)^2*a^7*c-630/b^9*d^8/(b*x+a)^2*a^6*c^2+1260/b^8*d^7/(b*x+a)^2*a^5*c^3-1575/b^7*d^6/(b*x+a)^2*a^4*c^4+1260/b^6*d^5/(b*x+a)^2*a^3*c^5-630/b^5*d^4/(b*x+a)^2*a^2*c^6+180/b^4*d^3/(b*x+a)^2*a*c^7-75*d^8/b^6*x^3*a*c^2-175*d^9/b^8*x^2*a^3*c+675/2*d^8/b^7*x^2*a^2*c^2-300*d^7/b^6*x^2*a*c^3","B"
1317,1,1199,252,0.023000," ","int((d*x+c)^10/(b*x+a)^6,x)","-\frac{a^{10} d^{10}}{5 \left(b x +a \right)^{5} b^{11}}+\frac{2 a^{9} c \,d^{9}}{\left(b x +a \right)^{5} b^{10}}-\frac{9 a^{8} c^{2} d^{8}}{\left(b x +a \right)^{5} b^{9}}+\frac{24 a^{7} c^{3} d^{7}}{\left(b x +a \right)^{5} b^{8}}-\frac{42 a^{6} c^{4} d^{6}}{\left(b x +a \right)^{5} b^{7}}+\frac{252 a^{5} c^{5} d^{5}}{5 \left(b x +a \right)^{5} b^{6}}-\frac{42 a^{4} c^{6} d^{4}}{\left(b x +a \right)^{5} b^{5}}+\frac{24 a^{3} c^{7} d^{3}}{\left(b x +a \right)^{5} b^{4}}-\frac{9 a^{2} c^{8} d^{2}}{\left(b x +a \right)^{5} b^{3}}+\frac{2 a \,c^{9} d}{\left(b x +a \right)^{5} b^{2}}-\frac{c^{10}}{5 \left(b x +a \right)^{5} b}+\frac{d^{10} x^{5}}{5 b^{6}}+\frac{5 a^{9} d^{10}}{2 \left(b x +a \right)^{4} b^{11}}-\frac{45 a^{8} c \,d^{9}}{2 \left(b x +a \right)^{4} b^{10}}+\frac{90 a^{7} c^{2} d^{8}}{\left(b x +a \right)^{4} b^{9}}-\frac{210 a^{6} c^{3} d^{7}}{\left(b x +a \right)^{4} b^{8}}+\frac{315 a^{5} c^{4} d^{6}}{\left(b x +a \right)^{4} b^{7}}-\frac{315 a^{4} c^{5} d^{5}}{\left(b x +a \right)^{4} b^{6}}+\frac{210 a^{3} c^{6} d^{4}}{\left(b x +a \right)^{4} b^{5}}-\frac{90 a^{2} c^{7} d^{3}}{\left(b x +a \right)^{4} b^{4}}+\frac{45 a \,c^{8} d^{2}}{2 \left(b x +a \right)^{4} b^{3}}-\frac{3 a \,d^{10} x^{4}}{2 b^{7}}-\frac{5 c^{9} d}{2 \left(b x +a \right)^{4} b^{2}}+\frac{5 c \,d^{9} x^{4}}{2 b^{6}}-\frac{15 a^{8} d^{10}}{\left(b x +a \right)^{3} b^{11}}+\frac{120 a^{7} c \,d^{9}}{\left(b x +a \right)^{3} b^{10}}-\frac{420 a^{6} c^{2} d^{8}}{\left(b x +a \right)^{3} b^{9}}+\frac{840 a^{5} c^{3} d^{7}}{\left(b x +a \right)^{3} b^{8}}-\frac{1050 a^{4} c^{4} d^{6}}{\left(b x +a \right)^{3} b^{7}}+\frac{840 a^{3} c^{5} d^{5}}{\left(b x +a \right)^{3} b^{6}}-\frac{420 a^{2} c^{6} d^{4}}{\left(b x +a \right)^{3} b^{5}}+\frac{7 a^{2} d^{10} x^{3}}{b^{8}}+\frac{120 a \,c^{7} d^{3}}{\left(b x +a \right)^{3} b^{4}}-\frac{20 a c \,d^{9} x^{3}}{b^{7}}-\frac{15 c^{8} d^{2}}{\left(b x +a \right)^{3} b^{3}}+\frac{15 c^{2} d^{8} x^{3}}{b^{6}}+\frac{60 a^{7} d^{10}}{\left(b x +a \right)^{2} b^{11}}-\frac{420 a^{6} c \,d^{9}}{\left(b x +a \right)^{2} b^{10}}+\frac{1260 a^{5} c^{2} d^{8}}{\left(b x +a \right)^{2} b^{9}}-\frac{2100 a^{4} c^{3} d^{7}}{\left(b x +a \right)^{2} b^{8}}+\frac{2100 a^{3} c^{4} d^{6}}{\left(b x +a \right)^{2} b^{7}}-\frac{28 a^{3} d^{10} x^{2}}{b^{9}}-\frac{1260 a^{2} c^{5} d^{5}}{\left(b x +a \right)^{2} b^{6}}+\frac{105 a^{2} c \,d^{9} x^{2}}{b^{8}}+\frac{420 a \,c^{6} d^{4}}{\left(b x +a \right)^{2} b^{5}}-\frac{135 a \,c^{2} d^{8} x^{2}}{b^{7}}-\frac{60 c^{7} d^{3}}{\left(b x +a \right)^{2} b^{4}}+\frac{60 c^{3} d^{7} x^{2}}{b^{6}}-\frac{210 a^{6} d^{10}}{\left(b x +a \right) b^{11}}+\frac{1260 a^{5} c \,d^{9}}{\left(b x +a \right) b^{10}}-\frac{252 a^{5} d^{10} \ln \left(b x +a \right)}{b^{11}}-\frac{3150 a^{4} c^{2} d^{8}}{\left(b x +a \right) b^{9}}+\frac{1260 a^{4} c \,d^{9} \ln \left(b x +a \right)}{b^{10}}+\frac{126 a^{4} d^{10} x}{b^{10}}+\frac{4200 a^{3} c^{3} d^{7}}{\left(b x +a \right) b^{8}}-\frac{2520 a^{3} c^{2} d^{8} \ln \left(b x +a \right)}{b^{9}}-\frac{560 a^{3} c \,d^{9} x}{b^{9}}-\frac{3150 a^{2} c^{4} d^{6}}{\left(b x +a \right) b^{7}}+\frac{2520 a^{2} c^{3} d^{7} \ln \left(b x +a \right)}{b^{8}}+\frac{945 a^{2} c^{2} d^{8} x}{b^{8}}+\frac{1260 a \,c^{5} d^{5}}{\left(b x +a \right) b^{6}}-\frac{1260 a \,c^{4} d^{6} \ln \left(b x +a \right)}{b^{7}}-\frac{720 a \,c^{3} d^{7} x}{b^{7}}-\frac{210 c^{6} d^{4}}{\left(b x +a \right) b^{5}}+\frac{252 c^{5} d^{5} \ln \left(b x +a \right)}{b^{6}}+\frac{210 c^{4} d^{6} x}{b^{6}}"," ",0,"-252/b^11*d^10*ln(b*x+a)*a^5+252/b^6*d^5*ln(b*x+a)*c^5+5/2/b^11*d^10/(b*x+a)^4*a^9-5/2/b^2*d/(b*x+a)^4*c^9-210/b^11*d^10/(b*x+a)*a^6-210/b^5*d^4/(b*x+a)*c^6-3/2*d^10/b^7*x^4*a+5/2*d^9/b^6*x^4*c+7*d^10/b^8*x^3*a^2+15*d^8/b^6*x^3*c^2-28*d^10/b^9*x^2*a^3+60*d^7/b^6*x^2*c^3+126*d^10/b^10*a^4*x+210*d^6/b^6*c^4*x-15/b^11*d^10/(b*x+a)^3*a^8-15/b^3*d^2/(b*x+a)^3*c^8-1/5/b^11/(b*x+a)^5*a^10*d^10+60/b^11*d^10/(b*x+a)^2*a^7-60/b^4*d^3/(b*x+a)^2*c^7+1260/b^10*d^9*ln(b*x+a)*a^4*c-2520/b^9*d^8*ln(b*x+a)*a^3*c^2-1260/b^6*d^5/(b*x+a)^2*a^2*c^5+420/b^5*d^4/(b*x+a)^2*a*c^6-135*d^8/b^7*x^2*a*c^2-560*d^9/b^9*a^3*c*x+945*d^8/b^8*a^2*c^2*x-720*d^7/b^7*a*c^3*x+120/b^10*d^9/(b*x+a)^3*a^7*c-420/b^9*d^8/(b*x+a)^3*a^6*c^2+840/b^8*d^7/(b*x+a)^3*a^5*c^3-1050/b^7*d^6/(b*x+a)^3*a^4*c^4+840/b^6*d^5/(b*x+a)^3*a^3*c^5-420/b^5*d^4/(b*x+a)^3*a^2*c^6+120/b^4*d^3/(b*x+a)^3*a*c^7+2/b^10/(b*x+a)^5*a^9*c*d^9-9/b^9/(b*x+a)^5*a^8*c^2*d^8+24/b^8/(b*x+a)^5*a^7*c^3*d^7-42/b^7/(b*x+a)^5*a^6*c^4*d^6+252/5/b^6/(b*x+a)^5*a^5*c^5*d^5-42/b^5/(b*x+a)^5*a^4*c^6*d^4+24/b^4/(b*x+a)^5*a^3*c^7*d^3-9/b^3/(b*x+a)^5*a^2*c^8*d^2+2520/b^8*d^7*ln(b*x+a)*a^2*c^3-1260/b^7*d^6*ln(b*x+a)*a*c^4-20*d^9/b^7*x^3*a*c+105*d^9/b^8*x^2*a^2*c-45/2/b^10*d^9/(b*x+a)^4*a^8*c+90/b^9*d^8/(b*x+a)^4*a^7*c^2-210/b^8*d^7/(b*x+a)^4*a^6*c^3+315/b^7*d^6/(b*x+a)^4*a^5*c^4-315/b^6*d^5/(b*x+a)^4*a^4*c^5+210/b^5*d^4/(b*x+a)^4*a^3*c^6-90/b^4*d^3/(b*x+a)^4*a^2*c^7+45/2/b^3*d^2/(b*x+a)^4*a*c^8+1260/b^10*d^9/(b*x+a)*a^5*c-3150/b^9*d^8/(b*x+a)*a^4*c^2+4200/b^8*d^7/(b*x+a)*a^3*c^3-3150/b^7*d^6/(b*x+a)*a^2*c^4+1260/b^6*d^5/(b*x+a)*a*c^5+2/b^2/(b*x+a)^5*a*c^9*d-420/b^10*d^9/(b*x+a)^2*a^6*c+1260/b^9*d^8/(b*x+a)^2*a^5*c^2-2100/b^8*d^7/(b*x+a)^2*a^4*c^3+2100/b^7*d^6/(b*x+a)^2*a^3*c^4+1/5*d^10/b^6*x^5-1/5/b/(b*x+a)^5*c^10","B"
1318,1,1222,252,0.021000," ","int((d*x+c)^10/(b*x+a)^7,x)","-\frac{a^{10} d^{10}}{6 \left(b x +a \right)^{6} b^{11}}+\frac{5 a^{9} c \,d^{9}}{3 \left(b x +a \right)^{6} b^{10}}-\frac{15 a^{8} c^{2} d^{8}}{2 \left(b x +a \right)^{6} b^{9}}+\frac{20 a^{7} c^{3} d^{7}}{\left(b x +a \right)^{6} b^{8}}-\frac{35 a^{6} c^{4} d^{6}}{\left(b x +a \right)^{6} b^{7}}+\frac{42 a^{5} c^{5} d^{5}}{\left(b x +a \right)^{6} b^{6}}-\frac{35 a^{4} c^{6} d^{4}}{\left(b x +a \right)^{6} b^{5}}+\frac{20 a^{3} c^{7} d^{3}}{\left(b x +a \right)^{6} b^{4}}-\frac{15 a^{2} c^{8} d^{2}}{2 \left(b x +a \right)^{6} b^{3}}+\frac{5 a \,c^{9} d}{3 \left(b x +a \right)^{6} b^{2}}-\frac{c^{10}}{6 \left(b x +a \right)^{6} b}+\frac{2 a^{9} d^{10}}{\left(b x +a \right)^{5} b^{11}}-\frac{18 a^{8} c \,d^{9}}{\left(b x +a \right)^{5} b^{10}}+\frac{72 a^{7} c^{2} d^{8}}{\left(b x +a \right)^{5} b^{9}}-\frac{168 a^{6} c^{3} d^{7}}{\left(b x +a \right)^{5} b^{8}}+\frac{252 a^{5} c^{4} d^{6}}{\left(b x +a \right)^{5} b^{7}}-\frac{252 a^{4} c^{5} d^{5}}{\left(b x +a \right)^{5} b^{6}}+\frac{168 a^{3} c^{6} d^{4}}{\left(b x +a \right)^{5} b^{5}}-\frac{72 a^{2} c^{7} d^{3}}{\left(b x +a \right)^{5} b^{4}}+\frac{18 a \,c^{8} d^{2}}{\left(b x +a \right)^{5} b^{3}}-\frac{2 c^{9} d}{\left(b x +a \right)^{5} b^{2}}-\frac{45 a^{8} d^{10}}{4 \left(b x +a \right)^{4} b^{11}}+\frac{90 a^{7} c \,d^{9}}{\left(b x +a \right)^{4} b^{10}}-\frac{315 a^{6} c^{2} d^{8}}{\left(b x +a \right)^{4} b^{9}}+\frac{630 a^{5} c^{3} d^{7}}{\left(b x +a \right)^{4} b^{8}}-\frac{1575 a^{4} c^{4} d^{6}}{2 \left(b x +a \right)^{4} b^{7}}+\frac{630 a^{3} c^{5} d^{5}}{\left(b x +a \right)^{4} b^{6}}-\frac{315 a^{2} c^{6} d^{4}}{\left(b x +a \right)^{4} b^{5}}+\frac{90 a \,c^{7} d^{3}}{\left(b x +a \right)^{4} b^{4}}-\frac{45 c^{8} d^{2}}{4 \left(b x +a \right)^{4} b^{3}}+\frac{d^{10} x^{4}}{4 b^{7}}+\frac{40 a^{7} d^{10}}{\left(b x +a \right)^{3} b^{11}}-\frac{280 a^{6} c \,d^{9}}{\left(b x +a \right)^{3} b^{10}}+\frac{840 a^{5} c^{2} d^{8}}{\left(b x +a \right)^{3} b^{9}}-\frac{1400 a^{4} c^{3} d^{7}}{\left(b x +a \right)^{3} b^{8}}+\frac{1400 a^{3} c^{4} d^{6}}{\left(b x +a \right)^{3} b^{7}}-\frac{840 a^{2} c^{5} d^{5}}{\left(b x +a \right)^{3} b^{6}}+\frac{280 a \,c^{6} d^{4}}{\left(b x +a \right)^{3} b^{5}}-\frac{7 a \,d^{10} x^{3}}{3 b^{8}}-\frac{40 c^{7} d^{3}}{\left(b x +a \right)^{3} b^{4}}+\frac{10 c \,d^{9} x^{3}}{3 b^{7}}-\frac{105 a^{6} d^{10}}{\left(b x +a \right)^{2} b^{11}}+\frac{630 a^{5} c \,d^{9}}{\left(b x +a \right)^{2} b^{10}}-\frac{1575 a^{4} c^{2} d^{8}}{\left(b x +a \right)^{2} b^{9}}+\frac{2100 a^{3} c^{3} d^{7}}{\left(b x +a \right)^{2} b^{8}}-\frac{1575 a^{2} c^{4} d^{6}}{\left(b x +a \right)^{2} b^{7}}+\frac{14 a^{2} d^{10} x^{2}}{b^{9}}+\frac{630 a \,c^{5} d^{5}}{\left(b x +a \right)^{2} b^{6}}-\frac{35 a c \,d^{9} x^{2}}{b^{8}}-\frac{105 c^{6} d^{4}}{\left(b x +a \right)^{2} b^{5}}+\frac{45 c^{2} d^{8} x^{2}}{2 b^{7}}+\frac{252 a^{5} d^{10}}{\left(b x +a \right) b^{11}}-\frac{1260 a^{4} c \,d^{9}}{\left(b x +a \right) b^{10}}+\frac{210 a^{4} d^{10} \ln \left(b x +a \right)}{b^{11}}+\frac{2520 a^{3} c^{2} d^{8}}{\left(b x +a \right) b^{9}}-\frac{840 a^{3} c \,d^{9} \ln \left(b x +a \right)}{b^{10}}-\frac{84 a^{3} d^{10} x}{b^{10}}-\frac{2520 a^{2} c^{3} d^{7}}{\left(b x +a \right) b^{8}}+\frac{1260 a^{2} c^{2} d^{8} \ln \left(b x +a \right)}{b^{9}}+\frac{280 a^{2} c \,d^{9} x}{b^{9}}+\frac{1260 a \,c^{4} d^{6}}{\left(b x +a \right) b^{7}}-\frac{840 a \,c^{3} d^{7} \ln \left(b x +a \right)}{b^{8}}-\frac{315 a \,c^{2} d^{8} x}{b^{8}}-\frac{252 c^{5} d^{5}}{\left(b x +a \right) b^{6}}+\frac{210 c^{4} d^{6} \ln \left(b x +a \right)}{b^{7}}+\frac{120 c^{3} d^{7} x}{b^{7}}"," ",0,"252/b^11*d^10/(b*x+a)*a^5-252/b^6*d^5/(b*x+a)*c^5-1/6/b^11/(b*x+a)^6*a^10*d^10+2/b^11*d^10/(b*x+a)^5*a^9-2/b^2*d/(b*x+a)^5*c^9-105/b^11*d^10/(b*x+a)^2*a^6-105/b^5*d^4/(b*x+a)^2*c^6+210/b^11*d^10*ln(b*x+a)*a^4+210/b^7*d^6*ln(b*x+a)*c^4-45/4/b^11*d^10/(b*x+a)^4*a^8-45/4/b^3*d^2/(b*x+a)^4*c^8+45/2*d^8/b^7*x^2*c^2-84*d^10/b^10*a^3*x+120*d^7/b^7*c^3*x+40/b^11*d^10/(b*x+a)^3*a^7-40/b^4*d^3/(b*x+a)^3*c^7-7/3*d^10/b^8*x^3*a+10/3*d^9/b^7*x^3*c+14*d^10/b^9*x^2*a^2-315*d^8/b^8*a*c^2*x-280/b^10*d^9/(b*x+a)^3*a^6*c+2100/b^8*d^7/(b*x+a)^2*a^3*c^3-1575/b^7*d^6/(b*x+a)^2*a^2*c^4+72/b^9*d^8/(b*x+a)^5*a^7*c^2-168/b^8*d^7/(b*x+a)^5*a^6*c^3+252/b^7*d^6/(b*x+a)^5*a^5*c^4-252/b^6*d^5/(b*x+a)^5*a^4*c^5+168/b^5*d^4/(b*x+a)^5*a^3*c^6-72/b^4*d^3/(b*x+a)^5*a^2*c^7+18/b^3*d^2/(b*x+a)^5*a*c^8+840/b^9*d^8/(b*x+a)^3*a^5*c^2-1400/b^8*d^7/(b*x+a)^3*a^4*c^3+1400/b^7*d^6/(b*x+a)^3*a^3*c^4-840/b^6*d^5/(b*x+a)^3*a^2*c^5+280/b^5*d^4/(b*x+a)^3*a*c^6+630/b^6*d^5/(b*x+a)^2*a*c^5-35*d^9/b^8*x^2*a*c+280*d^9/b^9*a^2*c*x-18/b^10*d^9/(b*x+a)^5*a^8*c+1260/b^7*d^6/(b*x+a)*a*c^4+5/3/b^10/(b*x+a)^6*a^9*c*d^9-15/2/b^9/(b*x+a)^6*a^8*c^2*d^8+20/b^8/(b*x+a)^6*a^7*c^3*d^7-35/b^7/(b*x+a)^6*a^6*c^4*d^6+42/b^6/(b*x+a)^6*a^5*c^5*d^5-35/b^5/(b*x+a)^6*a^4*c^6*d^4+20/b^4/(b*x+a)^6*a^3*c^7*d^3-15/2/b^3/(b*x+a)^6*a^2*c^8*d^2+5/3/b^2/(b*x+a)^6*a*c^9*d+90/b^10*d^9/(b*x+a)^4*a^7*c-315/b^9*d^8/(b*x+a)^4*a^6*c^2+630/b^8*d^7/(b*x+a)^4*a^5*c^3-1575/2/b^7*d^6/(b*x+a)^4*a^4*c^4+630/b^6*d^5/(b*x+a)^4*a^3*c^5-315/b^5*d^4/(b*x+a)^4*a^2*c^6+90/b^4*d^3/(b*x+a)^4*a*c^7-1260/b^10*d^9/(b*x+a)*a^4*c+2520/b^9*d^8/(b*x+a)*a^3*c^2-2520/b^8*d^7/(b*x+a)*a^2*c^3+1260/b^9*d^8*ln(b*x+a)*a^2*c^2-840/b^8*d^7*ln(b*x+a)*a*c^3-840/b^10*d^9*ln(b*x+a)*a^3*c+630/b^10*d^9/(b*x+a)^2*a^5*c-1575/b^9*d^8/(b*x+a)^2*a^4*c^2+1/4*d^10/b^7*x^4-1/6/b/(b*x+a)^6*c^10","B"
1319,1,1241,252,0.022000," ","int((d*x+c)^10/(b*x+a)^8,x)","-\frac{a^{10} d^{10}}{7 \left(b x +a \right)^{7} b^{11}}+\frac{10 a^{9} c \,d^{9}}{7 \left(b x +a \right)^{7} b^{10}}-\frac{45 a^{8} c^{2} d^{8}}{7 \left(b x +a \right)^{7} b^{9}}+\frac{120 a^{7} c^{3} d^{7}}{7 \left(b x +a \right)^{7} b^{8}}-\frac{30 a^{6} c^{4} d^{6}}{\left(b x +a \right)^{7} b^{7}}+\frac{36 a^{5} c^{5} d^{5}}{\left(b x +a \right)^{7} b^{6}}-\frac{30 a^{4} c^{6} d^{4}}{\left(b x +a \right)^{7} b^{5}}+\frac{120 a^{3} c^{7} d^{3}}{7 \left(b x +a \right)^{7} b^{4}}-\frac{45 a^{2} c^{8} d^{2}}{7 \left(b x +a \right)^{7} b^{3}}+\frac{10 a \,c^{9} d}{7 \left(b x +a \right)^{7} b^{2}}-\frac{c^{10}}{7 \left(b x +a \right)^{7} b}+\frac{5 a^{9} d^{10}}{3 \left(b x +a \right)^{6} b^{11}}-\frac{15 a^{8} c \,d^{9}}{\left(b x +a \right)^{6} b^{10}}+\frac{60 a^{7} c^{2} d^{8}}{\left(b x +a \right)^{6} b^{9}}-\frac{140 a^{6} c^{3} d^{7}}{\left(b x +a \right)^{6} b^{8}}+\frac{210 a^{5} c^{4} d^{6}}{\left(b x +a \right)^{6} b^{7}}-\frac{210 a^{4} c^{5} d^{5}}{\left(b x +a \right)^{6} b^{6}}+\frac{140 a^{3} c^{6} d^{4}}{\left(b x +a \right)^{6} b^{5}}-\frac{60 a^{2} c^{7} d^{3}}{\left(b x +a \right)^{6} b^{4}}+\frac{15 a \,c^{8} d^{2}}{\left(b x +a \right)^{6} b^{3}}-\frac{5 c^{9} d}{3 \left(b x +a \right)^{6} b^{2}}-\frac{9 a^{8} d^{10}}{\left(b x +a \right)^{5} b^{11}}+\frac{72 a^{7} c \,d^{9}}{\left(b x +a \right)^{5} b^{10}}-\frac{252 a^{6} c^{2} d^{8}}{\left(b x +a \right)^{5} b^{9}}+\frac{504 a^{5} c^{3} d^{7}}{\left(b x +a \right)^{5} b^{8}}-\frac{630 a^{4} c^{4} d^{6}}{\left(b x +a \right)^{5} b^{7}}+\frac{504 a^{3} c^{5} d^{5}}{\left(b x +a \right)^{5} b^{6}}-\frac{252 a^{2} c^{6} d^{4}}{\left(b x +a \right)^{5} b^{5}}+\frac{72 a \,c^{7} d^{3}}{\left(b x +a \right)^{5} b^{4}}-\frac{9 c^{8} d^{2}}{\left(b x +a \right)^{5} b^{3}}+\frac{30 a^{7} d^{10}}{\left(b x +a \right)^{4} b^{11}}-\frac{210 a^{6} c \,d^{9}}{\left(b x +a \right)^{4} b^{10}}+\frac{630 a^{5} c^{2} d^{8}}{\left(b x +a \right)^{4} b^{9}}-\frac{1050 a^{4} c^{3} d^{7}}{\left(b x +a \right)^{4} b^{8}}+\frac{1050 a^{3} c^{4} d^{6}}{\left(b x +a \right)^{4} b^{7}}-\frac{630 a^{2} c^{5} d^{5}}{\left(b x +a \right)^{4} b^{6}}+\frac{210 a \,c^{6} d^{4}}{\left(b x +a \right)^{4} b^{5}}-\frac{30 c^{7} d^{3}}{\left(b x +a \right)^{4} b^{4}}-\frac{70 a^{6} d^{10}}{\left(b x +a \right)^{3} b^{11}}+\frac{420 a^{5} c \,d^{9}}{\left(b x +a \right)^{3} b^{10}}-\frac{1050 a^{4} c^{2} d^{8}}{\left(b x +a \right)^{3} b^{9}}+\frac{1400 a^{3} c^{3} d^{7}}{\left(b x +a \right)^{3} b^{8}}-\frac{1050 a^{2} c^{4} d^{6}}{\left(b x +a \right)^{3} b^{7}}+\frac{420 a \,c^{5} d^{5}}{\left(b x +a \right)^{3} b^{6}}-\frac{70 c^{6} d^{4}}{\left(b x +a \right)^{3} b^{5}}+\frac{d^{10} x^{3}}{3 b^{8}}+\frac{126 a^{5} d^{10}}{\left(b x +a \right)^{2} b^{11}}-\frac{630 a^{4} c \,d^{9}}{\left(b x +a \right)^{2} b^{10}}+\frac{1260 a^{3} c^{2} d^{8}}{\left(b x +a \right)^{2} b^{9}}-\frac{1260 a^{2} c^{3} d^{7}}{\left(b x +a \right)^{2} b^{8}}+\frac{630 a \,c^{4} d^{6}}{\left(b x +a \right)^{2} b^{7}}-\frac{4 a \,d^{10} x^{2}}{b^{9}}-\frac{126 c^{5} d^{5}}{\left(b x +a \right)^{2} b^{6}}+\frac{5 c \,d^{9} x^{2}}{b^{8}}-\frac{210 a^{4} d^{10}}{\left(b x +a \right) b^{11}}+\frac{840 a^{3} c \,d^{9}}{\left(b x +a \right) b^{10}}-\frac{120 a^{3} d^{10} \ln \left(b x +a \right)}{b^{11}}-\frac{1260 a^{2} c^{2} d^{8}}{\left(b x +a \right) b^{9}}+\frac{360 a^{2} c \,d^{9} \ln \left(b x +a \right)}{b^{10}}+\frac{36 a^{2} d^{10} x}{b^{10}}+\frac{840 a \,c^{3} d^{7}}{\left(b x +a \right) b^{8}}-\frac{360 a \,c^{2} d^{8} \ln \left(b x +a \right)}{b^{9}}-\frac{80 a c \,d^{9} x}{b^{9}}-\frac{210 c^{4} d^{6}}{\left(b x +a \right) b^{7}}+\frac{120 c^{3} d^{7} \ln \left(b x +a \right)}{b^{8}}+\frac{45 c^{2} d^{8} x}{b^{8}}"," ",0,"-30/b^4*d^3/(b*x+a)^4*c^7-210/b^11*d^10/(b*x+a)*a^4-210/b^7*d^6/(b*x+a)*c^4+5/3/b^11*d^10/(b*x+a)^6*a^9-5/3/b^2*d/(b*x+a)^6*c^9+120/b^8*d^7*ln(b*x+a)*c^3+30/b^11*d^10/(b*x+a)^4*a^7-9/b^11*d^10/(b*x+a)^5*a^8-9/b^3*d^2/(b*x+a)^5*c^8+126/b^11*d^10/(b*x+a)^2*a^5-126/b^6*d^5/(b*x+a)^2*c^5-120/b^11*d^10*ln(b*x+a)*a^3-70/b^5*d^4/(b*x+a)^3*c^6-1/7/b^11/(b*x+a)^7*a^10*d^10-4*d^10/b^9*x^2*a+5*d^9/b^8*x^2*c+36*d^10/b^10*a^2*x+45*d^8/b^8*c^2*x-70/b^11*d^10/(b*x+a)^3*a^6+360/b^10*d^9*ln(b*x+a)*a^2*c-360/b^9*d^8*ln(b*x+a)*a*c^2-210/b^10*d^9/(b*x+a)^4*a^6*c+630/b^9*d^8/(b*x+a)^4*a^5*c^2-1050/b^8*d^7/(b*x+a)^4*a^4*c^3+1050/b^7*d^6/(b*x+a)^4*a^3*c^4-630/b^6*d^5/(b*x+a)^4*a^2*c^5+420/b^6*d^5/(b*x+a)^3*a*c^5+10/7/b^10/(b*x+a)^7*a^9*c*d^9-45/7/b^9/(b*x+a)^7*a^8*c^2*d^8+120/7/b^8/(b*x+a)^7*a^7*c^3*d^7-30/b^7/(b*x+a)^7*a^6*c^4*d^6+36/b^6/(b*x+a)^7*a^5*c^5*d^5-30/b^5/(b*x+a)^7*a^4*c^6*d^4+120/7/b^4/(b*x+a)^7*a^3*c^7*d^3-45/7/b^3/(b*x+a)^7*a^2*c^8*d^2+10/7/b^2/(b*x+a)^7*a*c^9*d+72/b^10*d^9/(b*x+a)^5*a^7*c-252/b^9*d^8/(b*x+a)^5*a^6*c^2+504/b^8*d^7/(b*x+a)^5*a^5*c^3-630/b^7*d^6/(b*x+a)^5*a^4*c^4+504/b^6*d^5/(b*x+a)^5*a^3*c^5-252/b^5*d^4/(b*x+a)^5*a^2*c^6+72/b^4*d^3/(b*x+a)^5*a*c^7-630/b^10*d^9/(b*x+a)^2*a^4*c+1260/b^9*d^8/(b*x+a)^2*a^3*c^2-1260/b^8*d^7/(b*x+a)^2*a^2*c^3+630/b^7*d^6/(b*x+a)^2*a*c^4-80*d^9/b^9*a*c*x+140/b^5*d^4/(b*x+a)^6*a^3*c^6-60/b^4*d^3/(b*x+a)^6*a^2*c^7+15/b^3*d^2/(b*x+a)^6*a*c^8-15/b^10*d^9/(b*x+a)^6*a^8*c+60/b^9*d^8/(b*x+a)^6*a^7*c^2+420/b^10*d^9/(b*x+a)^3*a^5*c-1050/b^9*d^8/(b*x+a)^3*a^4*c^2+1400/b^8*d^7/(b*x+a)^3*a^3*c^3-1050/b^7*d^6/(b*x+a)^3*a^2*c^4+210/b^7*d^6/(b*x+a)^6*a^5*c^4-210/b^6*d^5/(b*x+a)^6*a^4*c^5+210/b^5*d^4/(b*x+a)^4*a*c^6+840/b^10*d^9/(b*x+a)*a^3*c-1260/b^9*d^8/(b*x+a)*a^2*c^2+840/b^8*d^7/(b*x+a)*a*c^3-140/b^8*d^7/(b*x+a)^6*a^6*c^3+1/3*d^10/b^8*x^3-1/7/b/(b*x+a)^7*c^10","B"
1320,1,1256,248,0.019000," ","int((d*x+c)^10/(b*x+a)^9,x)","-\frac{a^{10} d^{10}}{8 \left(b x +a \right)^{8} b^{11}}+\frac{5 a^{9} c \,d^{9}}{4 \left(b x +a \right)^{8} b^{10}}-\frac{45 a^{8} c^{2} d^{8}}{8 \left(b x +a \right)^{8} b^{9}}+\frac{15 a^{7} c^{3} d^{7}}{\left(b x +a \right)^{8} b^{8}}-\frac{105 a^{6} c^{4} d^{6}}{4 \left(b x +a \right)^{8} b^{7}}+\frac{63 a^{5} c^{5} d^{5}}{2 \left(b x +a \right)^{8} b^{6}}-\frac{105 a^{4} c^{6} d^{4}}{4 \left(b x +a \right)^{8} b^{5}}+\frac{15 a^{3} c^{7} d^{3}}{\left(b x +a \right)^{8} b^{4}}-\frac{45 a^{2} c^{8} d^{2}}{8 \left(b x +a \right)^{8} b^{3}}+\frac{5 a \,c^{9} d}{4 \left(b x +a \right)^{8} b^{2}}-\frac{c^{10}}{8 \left(b x +a \right)^{8} b}+\frac{10 a^{9} d^{10}}{7 \left(b x +a \right)^{7} b^{11}}-\frac{90 a^{8} c \,d^{9}}{7 \left(b x +a \right)^{7} b^{10}}+\frac{360 a^{7} c^{2} d^{8}}{7 \left(b x +a \right)^{7} b^{9}}-\frac{120 a^{6} c^{3} d^{7}}{\left(b x +a \right)^{7} b^{8}}+\frac{180 a^{5} c^{4} d^{6}}{\left(b x +a \right)^{7} b^{7}}-\frac{180 a^{4} c^{5} d^{5}}{\left(b x +a \right)^{7} b^{6}}+\frac{120 a^{3} c^{6} d^{4}}{\left(b x +a \right)^{7} b^{5}}-\frac{360 a^{2} c^{7} d^{3}}{7 \left(b x +a \right)^{7} b^{4}}+\frac{90 a \,c^{8} d^{2}}{7 \left(b x +a \right)^{7} b^{3}}-\frac{10 c^{9} d}{7 \left(b x +a \right)^{7} b^{2}}-\frac{15 a^{8} d^{10}}{2 \left(b x +a \right)^{6} b^{11}}+\frac{60 a^{7} c \,d^{9}}{\left(b x +a \right)^{6} b^{10}}-\frac{210 a^{6} c^{2} d^{8}}{\left(b x +a \right)^{6} b^{9}}+\frac{420 a^{5} c^{3} d^{7}}{\left(b x +a \right)^{6} b^{8}}-\frac{525 a^{4} c^{4} d^{6}}{\left(b x +a \right)^{6} b^{7}}+\frac{420 a^{3} c^{5} d^{5}}{\left(b x +a \right)^{6} b^{6}}-\frac{210 a^{2} c^{6} d^{4}}{\left(b x +a \right)^{6} b^{5}}+\frac{60 a \,c^{7} d^{3}}{\left(b x +a \right)^{6} b^{4}}-\frac{15 c^{8} d^{2}}{2 \left(b x +a \right)^{6} b^{3}}+\frac{24 a^{7} d^{10}}{\left(b x +a \right)^{5} b^{11}}-\frac{168 a^{6} c \,d^{9}}{\left(b x +a \right)^{5} b^{10}}+\frac{504 a^{5} c^{2} d^{8}}{\left(b x +a \right)^{5} b^{9}}-\frac{840 a^{4} c^{3} d^{7}}{\left(b x +a \right)^{5} b^{8}}+\frac{840 a^{3} c^{4} d^{6}}{\left(b x +a \right)^{5} b^{7}}-\frac{504 a^{2} c^{5} d^{5}}{\left(b x +a \right)^{5} b^{6}}+\frac{168 a \,c^{6} d^{4}}{\left(b x +a \right)^{5} b^{5}}-\frac{24 c^{7} d^{3}}{\left(b x +a \right)^{5} b^{4}}-\frac{105 a^{6} d^{10}}{2 \left(b x +a \right)^{4} b^{11}}+\frac{315 a^{5} c \,d^{9}}{\left(b x +a \right)^{4} b^{10}}-\frac{1575 a^{4} c^{2} d^{8}}{2 \left(b x +a \right)^{4} b^{9}}+\frac{1050 a^{3} c^{3} d^{7}}{\left(b x +a \right)^{4} b^{8}}-\frac{1575 a^{2} c^{4} d^{6}}{2 \left(b x +a \right)^{4} b^{7}}+\frac{315 a \,c^{5} d^{5}}{\left(b x +a \right)^{4} b^{6}}-\frac{105 c^{6} d^{4}}{2 \left(b x +a \right)^{4} b^{5}}+\frac{84 a^{5} d^{10}}{\left(b x +a \right)^{3} b^{11}}-\frac{420 a^{4} c \,d^{9}}{\left(b x +a \right)^{3} b^{10}}+\frac{840 a^{3} c^{2} d^{8}}{\left(b x +a \right)^{3} b^{9}}-\frac{840 a^{2} c^{3} d^{7}}{\left(b x +a \right)^{3} b^{8}}+\frac{420 a \,c^{4} d^{6}}{\left(b x +a \right)^{3} b^{7}}-\frac{84 c^{5} d^{5}}{\left(b x +a \right)^{3} b^{6}}-\frac{105 a^{4} d^{10}}{\left(b x +a \right)^{2} b^{11}}+\frac{420 a^{3} c \,d^{9}}{\left(b x +a \right)^{2} b^{10}}-\frac{630 a^{2} c^{2} d^{8}}{\left(b x +a \right)^{2} b^{9}}+\frac{420 a \,c^{3} d^{7}}{\left(b x +a \right)^{2} b^{8}}-\frac{105 c^{4} d^{6}}{\left(b x +a \right)^{2} b^{7}}+\frac{d^{10} x^{2}}{2 b^{9}}+\frac{120 a^{3} d^{10}}{\left(b x +a \right) b^{11}}-\frac{360 a^{2} c \,d^{9}}{\left(b x +a \right) b^{10}}+\frac{45 a^{2} d^{10} \ln \left(b x +a \right)}{b^{11}}+\frac{360 a \,c^{2} d^{8}}{\left(b x +a \right) b^{9}}-\frac{90 a c \,d^{9} \ln \left(b x +a \right)}{b^{10}}-\frac{9 a \,d^{10} x}{b^{10}}-\frac{120 c^{3} d^{7}}{\left(b x +a \right) b^{8}}+\frac{45 c^{2} d^{8} \ln \left(b x +a \right)}{b^{9}}+\frac{10 c \,d^{9} x}{b^{9}}"," ",0,"1/2*d^10*x^2/b^9-9*d^10/b^10*a*x+10*d^9/b^9*x*c-15/2/b^11*d^10/(b*x+a)^6*a^8-15/2/b^3*d^2/(b*x+a)^6*c^8-105/b^7*d^6/(b*x+a)^2*c^4+45/b^11*d^10*ln(b*x+a)*a^2+45/b^9*d^8*ln(b*x+a)*c^2-105/2/b^11*d^10/(b*x+a)^4*a^6-105/2/b^5*d^4/(b*x+a)^4*c^6+120/b^11*d^10/(b*x+a)*a^3-120/b^8*d^7/(b*x+a)*c^3-1/8/b^11/(b*x+a)^8*a^10*d^10+84/b^11*d^10/(b*x+a)^3*a^5-84/b^6*d^5/(b*x+a)^3*c^5+10/7/b^11*d^10/(b*x+a)^7*a^9-10/7/b^2*d/(b*x+a)^7*c^9+24/b^11*d^10/(b*x+a)^5*a^7-24/b^4*d^3/(b*x+a)^5*c^7-105/b^11*d^10/(b*x+a)^2*a^4-1/8/b/(b*x+a)^8*c^10-360/7/b^4*d^3/(b*x+a)^7*a^2*c^7+90/7/b^3*d^2/(b*x+a)^7*a*c^8-168/b^10*d^9/(b*x+a)^5*a^6*c+504/b^9*d^8/(b*x+a)^5*a^5*c^2+180/b^7*d^6/(b*x+a)^7*a^5*c^4-180/b^6*d^5/(b*x+a)^7*a^4*c^5+120/b^5*d^4/(b*x+a)^7*a^3*c^6-840/b^8*d^7/(b*x+a)^5*a^4*c^3+840/b^7*d^6/(b*x+a)^5*a^3*c^4-504/b^6*d^5/(b*x+a)^5*a^2*c^5-210/b^9*d^8/(b*x+a)^6*a^6*c^2+420/b^8*d^7/(b*x+a)^6*a^5*c^3-525/b^7*d^6/(b*x+a)^6*a^4*c^4+420/b^6*d^5/(b*x+a)^6*a^3*c^5-210/b^5*d^4/(b*x+a)^6*a^2*c^6+60/b^4*d^3/(b*x+a)^6*a*c^7+168/b^5*d^4/(b*x+a)^5*a*c^6+315/b^10*d^9/(b*x+a)^4*a^5*c-1575/2/b^9*d^8/(b*x+a)^4*a^4*c^2+1050/b^8*d^7/(b*x+a)^4*a^3*c^3-1575/2/b^7*d^6/(b*x+a)^4*a^2*c^4+315/b^6*d^5/(b*x+a)^4*a*c^5-360/b^10*d^9/(b*x+a)*a^2*c+360/b^9*d^8/(b*x+a)*a*c^2+60/b^10*d^9/(b*x+a)^6*a^7*c+420/b^10*d^9/(b*x+a)^2*a^3*c-630/b^9*d^8/(b*x+a)^2*a^2*c^2+420/b^8*d^7/(b*x+a)^2*a*c^3-90/b^10*d^9*ln(b*x+a)*a*c+5/4/b^10/(b*x+a)^8*a^9*c*d^9-45/8/b^9/(b*x+a)^8*a^8*c^2*d^8+15/b^8/(b*x+a)^8*a^7*c^3*d^7-105/4/b^7/(b*x+a)^8*a^6*c^4*d^6+63/2/b^6/(b*x+a)^8*a^5*c^5*d^5-105/4/b^5/(b*x+a)^8*a^4*c^6*d^4+15/b^4/(b*x+a)^8*a^3*c^7*d^3-45/8/b^3/(b*x+a)^8*a^2*c^8*d^2+5/4/b^2/(b*x+a)^8*a*c^9*d-420/b^10*d^9/(b*x+a)^3*a^4*c+840/b^9*d^8/(b*x+a)^3*a^3*c^2-840/b^8*d^7/(b*x+a)^3*a^2*c^3+420/b^7*d^6/(b*x+a)^3*a*c^4-90/7/b^10*d^9/(b*x+a)^7*a^8*c+360/7/b^9*d^8/(b*x+a)^7*a^7*c^2-120/b^8*d^7/(b*x+a)^7*a^6*c^3","B"
1321,1,1266,251,0.018000," ","int((d*x+c)^10/(b*x+a)^10,x)","-\frac{a^{10} d^{10}}{9 \left(b x +a \right)^{9} b^{11}}+\frac{10 a^{9} c \,d^{9}}{9 \left(b x +a \right)^{9} b^{10}}-\frac{5 a^{8} c^{2} d^{8}}{\left(b x +a \right)^{9} b^{9}}+\frac{40 a^{7} c^{3} d^{7}}{3 \left(b x +a \right)^{9} b^{8}}-\frac{70 a^{6} c^{4} d^{6}}{3 \left(b x +a \right)^{9} b^{7}}+\frac{28 a^{5} c^{5} d^{5}}{\left(b x +a \right)^{9} b^{6}}-\frac{70 a^{4} c^{6} d^{4}}{3 \left(b x +a \right)^{9} b^{5}}+\frac{40 a^{3} c^{7} d^{3}}{3 \left(b x +a \right)^{9} b^{4}}-\frac{5 a^{2} c^{8} d^{2}}{\left(b x +a \right)^{9} b^{3}}+\frac{10 a \,c^{9} d}{9 \left(b x +a \right)^{9} b^{2}}-\frac{c^{10}}{9 \left(b x +a \right)^{9} b}+\frac{5 a^{9} d^{10}}{4 \left(b x +a \right)^{8} b^{11}}-\frac{45 a^{8} c \,d^{9}}{4 \left(b x +a \right)^{8} b^{10}}+\frac{45 a^{7} c^{2} d^{8}}{\left(b x +a \right)^{8} b^{9}}-\frac{105 a^{6} c^{3} d^{7}}{\left(b x +a \right)^{8} b^{8}}+\frac{315 a^{5} c^{4} d^{6}}{2 \left(b x +a \right)^{8} b^{7}}-\frac{315 a^{4} c^{5} d^{5}}{2 \left(b x +a \right)^{8} b^{6}}+\frac{105 a^{3} c^{6} d^{4}}{\left(b x +a \right)^{8} b^{5}}-\frac{45 a^{2} c^{7} d^{3}}{\left(b x +a \right)^{8} b^{4}}+\frac{45 a \,c^{8} d^{2}}{4 \left(b x +a \right)^{8} b^{3}}-\frac{5 c^{9} d}{4 \left(b x +a \right)^{8} b^{2}}-\frac{45 a^{8} d^{10}}{7 \left(b x +a \right)^{7} b^{11}}+\frac{360 a^{7} c \,d^{9}}{7 \left(b x +a \right)^{7} b^{10}}-\frac{180 a^{6} c^{2} d^{8}}{\left(b x +a \right)^{7} b^{9}}+\frac{360 a^{5} c^{3} d^{7}}{\left(b x +a \right)^{7} b^{8}}-\frac{450 a^{4} c^{4} d^{6}}{\left(b x +a \right)^{7} b^{7}}+\frac{360 a^{3} c^{5} d^{5}}{\left(b x +a \right)^{7} b^{6}}-\frac{180 a^{2} c^{6} d^{4}}{\left(b x +a \right)^{7} b^{5}}+\frac{360 a \,c^{7} d^{3}}{7 \left(b x +a \right)^{7} b^{4}}-\frac{45 c^{8} d^{2}}{7 \left(b x +a \right)^{7} b^{3}}+\frac{20 a^{7} d^{10}}{\left(b x +a \right)^{6} b^{11}}-\frac{140 a^{6} c \,d^{9}}{\left(b x +a \right)^{6} b^{10}}+\frac{420 a^{5} c^{2} d^{8}}{\left(b x +a \right)^{6} b^{9}}-\frac{700 a^{4} c^{3} d^{7}}{\left(b x +a \right)^{6} b^{8}}+\frac{700 a^{3} c^{4} d^{6}}{\left(b x +a \right)^{6} b^{7}}-\frac{420 a^{2} c^{5} d^{5}}{\left(b x +a \right)^{6} b^{6}}+\frac{140 a \,c^{6} d^{4}}{\left(b x +a \right)^{6} b^{5}}-\frac{20 c^{7} d^{3}}{\left(b x +a \right)^{6} b^{4}}-\frac{42 a^{6} d^{10}}{\left(b x +a \right)^{5} b^{11}}+\frac{252 a^{5} c \,d^{9}}{\left(b x +a \right)^{5} b^{10}}-\frac{630 a^{4} c^{2} d^{8}}{\left(b x +a \right)^{5} b^{9}}+\frac{840 a^{3} c^{3} d^{7}}{\left(b x +a \right)^{5} b^{8}}-\frac{630 a^{2} c^{4} d^{6}}{\left(b x +a \right)^{5} b^{7}}+\frac{252 a \,c^{5} d^{5}}{\left(b x +a \right)^{5} b^{6}}-\frac{42 c^{6} d^{4}}{\left(b x +a \right)^{5} b^{5}}+\frac{63 a^{5} d^{10}}{\left(b x +a \right)^{4} b^{11}}-\frac{315 a^{4} c \,d^{9}}{\left(b x +a \right)^{4} b^{10}}+\frac{630 a^{3} c^{2} d^{8}}{\left(b x +a \right)^{4} b^{9}}-\frac{630 a^{2} c^{3} d^{7}}{\left(b x +a \right)^{4} b^{8}}+\frac{315 a \,c^{4} d^{6}}{\left(b x +a \right)^{4} b^{7}}-\frac{63 c^{5} d^{5}}{\left(b x +a \right)^{4} b^{6}}-\frac{70 a^{4} d^{10}}{\left(b x +a \right)^{3} b^{11}}+\frac{280 a^{3} c \,d^{9}}{\left(b x +a \right)^{3} b^{10}}-\frac{420 a^{2} c^{2} d^{8}}{\left(b x +a \right)^{3} b^{9}}+\frac{280 a \,c^{3} d^{7}}{\left(b x +a \right)^{3} b^{8}}-\frac{70 c^{4} d^{6}}{\left(b x +a \right)^{3} b^{7}}+\frac{60 a^{3} d^{10}}{\left(b x +a \right)^{2} b^{11}}-\frac{180 a^{2} c \,d^{9}}{\left(b x +a \right)^{2} b^{10}}+\frac{180 a \,c^{2} d^{8}}{\left(b x +a \right)^{2} b^{9}}-\frac{60 c^{3} d^{7}}{\left(b x +a \right)^{2} b^{8}}-\frac{45 a^{2} d^{10}}{\left(b x +a \right) b^{11}}+\frac{90 a c \,d^{9}}{\left(b x +a \right) b^{10}}-\frac{10 a \,d^{10} \ln \left(b x +a \right)}{b^{11}}-\frac{45 c^{2} d^{8}}{\left(b x +a \right) b^{9}}+\frac{10 c \,d^{9} \ln \left(b x +a \right)}{b^{10}}+\frac{d^{10} x}{b^{10}}"," ",0,"60/b^11*d^10/(b*x+a)^2*a^3-60/b^8*d^7/(b*x+a)^2*c^3-10/b^11*d^10*ln(b*x+a)*a+10/b^10*d^9*ln(b*x+a)*c+63/b^11*d^10/(b*x+a)^4*a^5-63/b^6*d^5/(b*x+a)^4*c^5-45/b^11*d^10/(b*x+a)*a^2-45/b^9*d^8/(b*x+a)*c^2+20/b^11*d^10/(b*x+a)^6*a^7-20/b^4*d^3/(b*x+a)^6*c^7-45/7/b^11*d^10/(b*x+a)^7*a^8-45/7/b^3*d^2/(b*x+a)^7*c^8-1/9/b^11/(b*x+a)^9*a^10*d^10+5/4/b^11*d^10/(b*x+a)^8*a^9-5/4/b^2*d/(b*x+a)^8*c^9-70/b^11*d^10/(b*x+a)^3*a^4-70/b^7*d^6/(b*x+a)^3*c^4-42/b^11*d^10/(b*x+a)^5*a^6-42/b^5*d^4/(b*x+a)^5*c^6+d^10*x/b^10-1/9/b/(b*x+a)^9*c^10-140/b^10*d^9/(b*x+a)^6*a^6*c+420/b^9*d^8/(b*x+a)^6*a^5*c^2+360/7/b^4*d^3/(b*x+a)^7*a*c^7+10/9/b^10/(b*x+a)^9*a^9*c*d^9-5/b^9/(b*x+a)^9*a^8*c^2*d^8+40/3/b^8/(b*x+a)^9*a^7*c^3*d^7+700/b^7*d^6/(b*x+a)^6*a^3*c^4-420/b^6*d^5/(b*x+a)^6*a^2*c^5+140/b^5*d^4/(b*x+a)^6*a*c^6-70/3/b^7/(b*x+a)^9*a^6*c^4*d^6+28/b^6/(b*x+a)^9*a^5*c^5*d^5-70/3/b^5/(b*x+a)^9*a^4*c^6*d^4+40/3/b^4/(b*x+a)^9*a^3*c^7*d^3-5/b^3/(b*x+a)^9*a^2*c^8*d^2+10/9/b^2/(b*x+a)^9*a*c^9*d+252/b^10*d^9/(b*x+a)^5*a^5*c-630/b^9*d^8/(b*x+a)^5*a^4*c^2+840/b^8*d^7/(b*x+a)^5*a^3*c^3-630/b^7*d^6/(b*x+a)^5*a^2*c^4+252/b^6*d^5/(b*x+a)^5*a*c^5-180/b^10*d^9/(b*x+a)^2*a^2*c+180/b^9*d^8/(b*x+a)^2*a*c^2-315/b^10*d^9/(b*x+a)^4*a^4*c+630/b^9*d^8/(b*x+a)^4*a^3*c^2-630/b^8*d^7/(b*x+a)^4*a^2*c^3+315/b^7*d^6/(b*x+a)^4*a*c^4+90/b^10*d^9/(b*x+a)*a*c+280/b^8*d^7/(b*x+a)^3*a*c^3+360/7/b^10*d^9/(b*x+a)^7*a^7*c-180/b^9*d^8/(b*x+a)^7*a^6*c^2+360/b^8*d^7/(b*x+a)^7*a^5*c^3-450/b^7*d^6/(b*x+a)^7*a^4*c^4+360/b^6*d^5/(b*x+a)^7*a^3*c^5-180/b^5*d^4/(b*x+a)^7*a^2*c^6-700/b^8*d^7/(b*x+a)^6*a^4*c^3-45/4/b^10*d^9/(b*x+a)^8*a^8*c+45/b^9*d^8/(b*x+a)^8*a^7*c^2-105/b^8*d^7/(b*x+a)^8*a^6*c^3+315/2/b^7*d^6/(b*x+a)^8*a^5*c^4-315/2/b^6*d^5/(b*x+a)^8*a^4*c^5+105/b^5*d^4/(b*x+a)^8*a^3*c^6-45/b^4*d^3/(b*x+a)^8*a^2*c^7+45/4/b^3*d^2/(b*x+a)^8*a*c^8+280/b^10*d^9/(b*x+a)^3*a^3*c-420/b^9*d^8/(b*x+a)^3*a^2*c^2","B"
1322,1,1271,257,0.013000," ","int((d*x+c)^10/(b*x+a)^11,x)","-\frac{a^{10} d^{10}}{10 \left(b x +a \right)^{10} b^{11}}+\frac{a^{9} c \,d^{9}}{\left(b x +a \right)^{10} b^{10}}-\frac{9 a^{8} c^{2} d^{8}}{2 \left(b x +a \right)^{10} b^{9}}+\frac{12 a^{7} c^{3} d^{7}}{\left(b x +a \right)^{10} b^{8}}-\frac{21 a^{6} c^{4} d^{6}}{\left(b x +a \right)^{10} b^{7}}+\frac{126 a^{5} c^{5} d^{5}}{5 \left(b x +a \right)^{10} b^{6}}-\frac{21 a^{4} c^{6} d^{4}}{\left(b x +a \right)^{10} b^{5}}+\frac{12 a^{3} c^{7} d^{3}}{\left(b x +a \right)^{10} b^{4}}-\frac{9 a^{2} c^{8} d^{2}}{2 \left(b x +a \right)^{10} b^{3}}+\frac{a \,c^{9} d}{\left(b x +a \right)^{10} b^{2}}-\frac{c^{10}}{10 \left(b x +a \right)^{10} b}+\frac{10 a^{9} d^{10}}{9 \left(b x +a \right)^{9} b^{11}}-\frac{10 a^{8} c \,d^{9}}{\left(b x +a \right)^{9} b^{10}}+\frac{40 a^{7} c^{2} d^{8}}{\left(b x +a \right)^{9} b^{9}}-\frac{280 a^{6} c^{3} d^{7}}{3 \left(b x +a \right)^{9} b^{8}}+\frac{140 a^{5} c^{4} d^{6}}{\left(b x +a \right)^{9} b^{7}}-\frac{140 a^{4} c^{5} d^{5}}{\left(b x +a \right)^{9} b^{6}}+\frac{280 a^{3} c^{6} d^{4}}{3 \left(b x +a \right)^{9} b^{5}}-\frac{40 a^{2} c^{7} d^{3}}{\left(b x +a \right)^{9} b^{4}}+\frac{10 a \,c^{8} d^{2}}{\left(b x +a \right)^{9} b^{3}}-\frac{10 c^{9} d}{9 \left(b x +a \right)^{9} b^{2}}-\frac{45 a^{8} d^{10}}{8 \left(b x +a \right)^{8} b^{11}}+\frac{45 a^{7} c \,d^{9}}{\left(b x +a \right)^{8} b^{10}}-\frac{315 a^{6} c^{2} d^{8}}{2 \left(b x +a \right)^{8} b^{9}}+\frac{315 a^{5} c^{3} d^{7}}{\left(b x +a \right)^{8} b^{8}}-\frac{1575 a^{4} c^{4} d^{6}}{4 \left(b x +a \right)^{8} b^{7}}+\frac{315 a^{3} c^{5} d^{5}}{\left(b x +a \right)^{8} b^{6}}-\frac{315 a^{2} c^{6} d^{4}}{2 \left(b x +a \right)^{8} b^{5}}+\frac{45 a \,c^{7} d^{3}}{\left(b x +a \right)^{8} b^{4}}-\frac{45 c^{8} d^{2}}{8 \left(b x +a \right)^{8} b^{3}}+\frac{120 a^{7} d^{10}}{7 \left(b x +a \right)^{7} b^{11}}-\frac{120 a^{6} c \,d^{9}}{\left(b x +a \right)^{7} b^{10}}+\frac{360 a^{5} c^{2} d^{8}}{\left(b x +a \right)^{7} b^{9}}-\frac{600 a^{4} c^{3} d^{7}}{\left(b x +a \right)^{7} b^{8}}+\frac{600 a^{3} c^{4} d^{6}}{\left(b x +a \right)^{7} b^{7}}-\frac{360 a^{2} c^{5} d^{5}}{\left(b x +a \right)^{7} b^{6}}+\frac{120 a \,c^{6} d^{4}}{\left(b x +a \right)^{7} b^{5}}-\frac{120 c^{7} d^{3}}{7 \left(b x +a \right)^{7} b^{4}}-\frac{35 a^{6} d^{10}}{\left(b x +a \right)^{6} b^{11}}+\frac{210 a^{5} c \,d^{9}}{\left(b x +a \right)^{6} b^{10}}-\frac{525 a^{4} c^{2} d^{8}}{\left(b x +a \right)^{6} b^{9}}+\frac{700 a^{3} c^{3} d^{7}}{\left(b x +a \right)^{6} b^{8}}-\frac{525 a^{2} c^{4} d^{6}}{\left(b x +a \right)^{6} b^{7}}+\frac{210 a \,c^{5} d^{5}}{\left(b x +a \right)^{6} b^{6}}-\frac{35 c^{6} d^{4}}{\left(b x +a \right)^{6} b^{5}}+\frac{252 a^{5} d^{10}}{5 \left(b x +a \right)^{5} b^{11}}-\frac{252 a^{4} c \,d^{9}}{\left(b x +a \right)^{5} b^{10}}+\frac{504 a^{3} c^{2} d^{8}}{\left(b x +a \right)^{5} b^{9}}-\frac{504 a^{2} c^{3} d^{7}}{\left(b x +a \right)^{5} b^{8}}+\frac{252 a \,c^{4} d^{6}}{\left(b x +a \right)^{5} b^{7}}-\frac{252 c^{5} d^{5}}{5 \left(b x +a \right)^{5} b^{6}}-\frac{105 a^{4} d^{10}}{2 \left(b x +a \right)^{4} b^{11}}+\frac{210 a^{3} c \,d^{9}}{\left(b x +a \right)^{4} b^{10}}-\frac{315 a^{2} c^{2} d^{8}}{\left(b x +a \right)^{4} b^{9}}+\frac{210 a \,c^{3} d^{7}}{\left(b x +a \right)^{4} b^{8}}-\frac{105 c^{4} d^{6}}{2 \left(b x +a \right)^{4} b^{7}}+\frac{40 a^{3} d^{10}}{\left(b x +a \right)^{3} b^{11}}-\frac{120 a^{2} c \,d^{9}}{\left(b x +a \right)^{3} b^{10}}+\frac{120 a \,c^{2} d^{8}}{\left(b x +a \right)^{3} b^{9}}-\frac{40 c^{3} d^{7}}{\left(b x +a \right)^{3} b^{8}}-\frac{45 a^{2} d^{10}}{2 \left(b x +a \right)^{2} b^{11}}+\frac{45 a c \,d^{9}}{\left(b x +a \right)^{2} b^{10}}-\frac{45 c^{2} d^{8}}{2 \left(b x +a \right)^{2} b^{9}}+\frac{10 a \,d^{10}}{\left(b x +a \right) b^{11}}-\frac{10 c \,d^{9}}{\left(b x +a \right) b^{10}}+\frac{d^{10} \ln \left(b x +a \right)}{b^{11}}"," ",0,"-35*d^10/b^11/(b*x+a)^6*a^6-35*d^4/b^5/(b*x+a)^6*c^6-1/10/b^11/(b*x+a)^10*a^10*d^10-120/7*d^3/b^4/(b*x+a)^7*c^7+10/9*d^10/b^11/(b*x+a)^9*a^9-10/9*d/b^2/(b*x+a)^9*c^9+252/5*d^10/b^11/(b*x+a)^5*a^5-252/5*d^5/b^6/(b*x+a)^5*c^5-45/2*d^10/b^11/(b*x+a)^2*a^2-45/2*d^8/b^9/(b*x+a)^2*c^2-105/2*d^10/b^11/(b*x+a)^4*a^4-105/2*d^6/b^7/(b*x+a)^4*c^4+10/b^11*d^10/(b*x+a)*a-10/b^10*d^9/(b*x+a)*c-45/8*d^10/b^11/(b*x+a)^8*a^8-45/8*d^2/b^3/(b*x+a)^8*c^8+40*d^10/b^11/(b*x+a)^3*a^3-40*d^7/b^8/(b*x+a)^3*c^3+120/7*d^10/b^11/(b*x+a)^7*a^7-315/2*d^4/b^5/(b*x+a)^8*a^2*c^6+45*d^3/b^4/(b*x+a)^8*a*c^7-120*d^9/b^10/(b*x+a)^3*a^2*c+120*d^8/b^9/(b*x+a)^3*a*c^2-120*d^9/b^10/(b*x+a)^7*a^6*c+360*d^8/b^9/(b*x+a)^7*a^5*c^2-600*d^7/b^8/(b*x+a)^7*a^4*c^3+600*d^6/b^7/(b*x+a)^7*a^3*c^4-360*d^5/b^6/(b*x+a)^7*a^2*c^5+120*d^4/b^5/(b*x+a)^7*a*c^6-10*d^9/b^10/(b*x+a)^9*a^8*c+40*d^8/b^9/(b*x+a)^9*a^7*c^2-280/3*d^7/b^8/(b*x+a)^9*a^6*c^3+140*d^6/b^7/(b*x+a)^9*a^5*c^4-140*d^5/b^6/(b*x+a)^9*a^4*c^5+280/3*d^4/b^5/(b*x+a)^9*a^3*c^6-40*d^3/b^4/(b*x+a)^9*a^2*c^7+10*d^2/b^3/(b*x+a)^9*a*c^8-252*d^9/b^10/(b*x+a)^5*a^4*c+504*d^8/b^9/(b*x+a)^5*a^3*c^2-504*d^7/b^8/(b*x+a)^5*a^2*c^3+252*d^6/b^7/(b*x+a)^5*a*c^4+45*d^9/b^10/(b*x+a)^2*a*c+210*d^9/b^10/(b*x+a)^4*a^3*c-315*d^8/b^9/(b*x+a)^4*a^2*c^2+210*d^7/b^8/(b*x+a)^4*a*c^3+210*d^9/b^10/(b*x+a)^6*a^5*c-525*d^8/b^9/(b*x+a)^6*a^4*c^2+700*d^7/b^8/(b*x+a)^6*a^3*c^3-525*d^6/b^7/(b*x+a)^6*a^2*c^4+210*d^5/b^6/(b*x+a)^6*a*c^5+1/b^10/(b*x+a)^10*a^9*c*d^9-9/2/b^9/(b*x+a)^10*a^8*c^2*d^8+12/b^8/(b*x+a)^10*a^7*c^3*d^7-21/b^7/(b*x+a)^10*a^6*c^4*d^6+126/5/b^6/(b*x+a)^10*a^5*c^5*d^5-21/b^5/(b*x+a)^10*a^4*c^6*d^4+12/b^4/(b*x+a)^10*a^3*c^7*d^3-9/2/b^3/(b*x+a)^10*a^2*c^8*d^2+1/b^2/(b*x+a)^10*a*c^9*d+45*d^9/b^10/(b*x+a)^8*a^7*c-315/2*d^8/b^9/(b*x+a)^8*a^6*c^2+315*d^5/b^6/(b*x+a)^8*a^3*c^5+d^10*ln(b*x+a)/b^11-1/10/b/(b*x+a)^10*c^10+315*d^7/b^8/(b*x+a)^8*a^5*c^3-1575/4*d^6/b^7/(b*x+a)^8*a^4*c^4","B"
1323,1,866,26,0.007000," ","int((d*x+c)^10/(b*x+a)^12,x)","-\frac{d^{10}}{\left(b x +a \right) b^{11}}+\frac{5 \left(a d -b c \right) d^{9}}{\left(b x +a \right)^{2} b^{11}}-\frac{15 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) d^{8}}{\left(b x +a \right)^{3} b^{11}}+\frac{30 \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) d^{7}}{\left(b x +a \right)^{4} b^{11}}-\frac{42 \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) d^{6}}{\left(b x +a \right)^{5} b^{11}}+\frac{42 \left(a^{5} d^{5}-5 a^{4} b c \,d^{4}+10 a^{3} b^{2} c^{2} d^{3}-10 a^{2} b^{3} c^{3} d^{2}+5 a \,b^{4} c^{4} d -b^{5} c^{5}\right) d^{5}}{\left(b x +a \right)^{6} b^{11}}-\frac{30 \left(a^{6} d^{6}-6 a^{5} b c \,d^{5}+15 a^{4} b^{2} c^{2} d^{4}-20 a^{3} b^{3} c^{3} d^{3}+15 a^{2} b^{4} c^{4} d^{2}-6 a \,b^{5} c^{5} d +b^{6} c^{6}\right) d^{4}}{\left(b x +a \right)^{7} b^{11}}+\frac{15 \left(a^{7} d^{7}-7 a^{6} b c \,d^{6}+21 a^{5} b^{2} c^{2} d^{5}-35 a^{4} b^{3} c^{3} d^{4}+35 a^{3} b^{4} c^{4} d^{3}-21 a^{2} b^{5} c^{5} d^{2}+7 a \,b^{6} c^{6} d -b^{7} c^{7}\right) d^{3}}{\left(b x +a \right)^{8} b^{11}}-\frac{5 \left(a^{8} d^{8}-8 a^{7} b c \,d^{7}+28 a^{6} b^{2} c^{2} d^{6}-56 a^{5} b^{3} c^{3} d^{5}+70 a^{4} b^{4} c^{4} d^{4}-56 a^{3} b^{5} c^{5} d^{3}+28 a^{2} b^{6} c^{6} d^{2}-8 a \,b^{7} c^{7} d +b^{8} c^{8}\right) d^{2}}{\left(b x +a \right)^{9} b^{11}}+\frac{\left(a^{9} d^{9}-9 a^{8} b c \,d^{8}+36 a^{7} b^{2} c^{2} d^{7}-84 a^{6} b^{3} c^{3} d^{6}+126 a^{5} b^{4} c^{4} d^{5}-126 a^{4} b^{5} c^{5} d^{4}+84 a^{3} b^{6} c^{6} d^{3}-36 a^{2} b^{7} c^{7} d^{2}+9 a \,b^{8} c^{8} d -b^{9} c^{9}\right) d}{\left(b x +a \right)^{10} b^{11}}-\frac{d^{10} a^{10}-10 c \,d^{9} a^{9} b +45 c^{2} d^{8} a^{8} b^{2}-120 a^{7} c^{3} d^{7} b^{3}+210 c^{4} d^{6} a^{6} b^{4}-252 a^{5} c^{5} d^{5} b^{5}+210 a^{4} c^{6} d^{4} b^{6}-120 a^{3} c^{7} d^{3} b^{7}+45 a^{2} c^{8} d^{2} b^{8}-10 a \,b^{9} c^{9} d +c^{10} b^{10}}{11 \left(b x +a \right)^{11} b^{11}}"," ",0,"15*d^3*(a^7*d^7-7*a^6*b*c*d^6+21*a^5*b^2*c^2*d^5-35*a^4*b^3*c^3*d^4+35*a^3*b^4*c^4*d^3-21*a^2*b^5*c^5*d^2+7*a*b^6*c^6*d-b^7*c^7)/b^11/(b*x+a)^8-15*d^8*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^11/(b*x+a)^3-30*d^4*(a^6*d^6-6*a^5*b*c*d^5+15*a^4*b^2*c^2*d^4-20*a^3*b^3*c^3*d^3+15*a^2*b^4*c^4*d^2-6*a*b^5*c^5*d+b^6*c^6)/b^11/(b*x+a)^7-5*d^2*(a^8*d^8-8*a^7*b*c*d^7+28*a^6*b^2*c^2*d^6-56*a^5*b^3*c^3*d^5+70*a^4*b^4*c^4*d^4-56*a^3*b^5*c^5*d^3+28*a^2*b^6*c^6*d^2-8*a*b^7*c^7*d+b^8*c^8)/b^11/(b*x+a)^9-42*d^6*(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)/b^11/(b*x+a)^5+5*d^9*(a*d-b*c)/b^11/(b*x+a)^2+30*d^7*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/b^11/(b*x+a)^4-1/11*(a^10*d^10-10*a^9*b*c*d^9+45*a^8*b^2*c^2*d^8-120*a^7*b^3*c^3*d^7+210*a^6*b^4*c^4*d^6-252*a^5*b^5*c^5*d^5+210*a^4*b^6*c^6*d^4-120*a^3*b^7*c^7*d^3+45*a^2*b^8*c^8*d^2-10*a*b^9*c^9*d+b^10*c^10)/b^11/(b*x+a)^11-d^10/b^11/(b*x+a)+42*d^5*(a^5*d^5-5*a^4*b*c*d^4+10*a^3*b^2*c^2*d^3-10*a^2*b^3*c^3*d^2+5*a*b^4*c^4*d-b^5*c^5)/b^11/(b*x+a)^6+d*(a^9*d^9-9*a^8*b*c*d^8+36*a^7*b^2*c^2*d^7-84*a^6*b^3*c^3*d^6+126*a^5*b^4*c^4*d^5-126*a^4*b^5*c^5*d^4+84*a^3*b^6*c^6*d^3-36*a^2*b^7*c^7*d^2+9*a*b^8*c^8*d-b^9*c^9)/b^11/(b*x+a)^10","B"
1324,1,867,54,0.009000," ","int((d*x+c)^10/(b*x+a)^13,x)","-\frac{d^{10}}{2 \left(b x +a \right)^{2} b^{11}}+\frac{10 \left(a d -b c \right) d^{9}}{3 \left(b x +a \right)^{3} b^{11}}-\frac{45 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) d^{8}}{4 \left(b x +a \right)^{4} b^{11}}+\frac{24 \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) d^{7}}{\left(b x +a \right)^{5} b^{11}}-\frac{35 \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) d^{6}}{\left(b x +a \right)^{6} b^{11}}+\frac{36 \left(a^{5} d^{5}-5 a^{4} b c \,d^{4}+10 a^{3} b^{2} c^{2} d^{3}-10 a^{2} b^{3} c^{3} d^{2}+5 a \,b^{4} c^{4} d -b^{5} c^{5}\right) d^{5}}{\left(b x +a \right)^{7} b^{11}}-\frac{105 \left(a^{6} d^{6}-6 a^{5} b c \,d^{5}+15 a^{4} b^{2} c^{2} d^{4}-20 a^{3} b^{3} c^{3} d^{3}+15 a^{2} b^{4} c^{4} d^{2}-6 a \,b^{5} c^{5} d +b^{6} c^{6}\right) d^{4}}{4 \left(b x +a \right)^{8} b^{11}}+\frac{40 \left(a^{7} d^{7}-7 a^{6} b c \,d^{6}+21 a^{5} b^{2} c^{2} d^{5}-35 a^{4} b^{3} c^{3} d^{4}+35 a^{3} b^{4} c^{4} d^{3}-21 a^{2} b^{5} c^{5} d^{2}+7 a \,b^{6} c^{6} d -b^{7} c^{7}\right) d^{3}}{3 \left(b x +a \right)^{9} b^{11}}-\frac{9 \left(a^{8} d^{8}-8 a^{7} b c \,d^{7}+28 a^{6} b^{2} c^{2} d^{6}-56 a^{5} b^{3} c^{3} d^{5}+70 a^{4} b^{4} c^{4} d^{4}-56 a^{3} b^{5} c^{5} d^{3}+28 a^{2} b^{6} c^{6} d^{2}-8 a \,b^{7} c^{7} d +b^{8} c^{8}\right) d^{2}}{2 \left(b x +a \right)^{10} b^{11}}+\frac{10 \left(a^{9} d^{9}-9 a^{8} b c \,d^{8}+36 a^{7} b^{2} c^{2} d^{7}-84 a^{6} b^{3} c^{3} d^{6}+126 a^{5} b^{4} c^{4} d^{5}-126 a^{4} b^{5} c^{5} d^{4}+84 a^{3} b^{6} c^{6} d^{3}-36 a^{2} b^{7} c^{7} d^{2}+9 a \,b^{8} c^{8} d -b^{9} c^{9}\right) d}{11 \left(b x +a \right)^{11} b^{11}}-\frac{d^{10} a^{10}-10 c \,d^{9} a^{9} b +45 c^{2} d^{8} a^{8} b^{2}-120 a^{7} c^{3} d^{7} b^{3}+210 c^{4} d^{6} a^{6} b^{4}-252 a^{5} c^{5} d^{5} b^{5}+210 a^{4} c^{6} d^{4} b^{6}-120 a^{3} c^{7} d^{3} b^{7}+45 a^{2} c^{8} d^{2} b^{8}-10 a \,b^{9} c^{9} d +c^{10} b^{10}}{12 \left(b x +a \right)^{12} b^{11}}"," ",0,"-105/4*d^4*(a^6*d^6-6*a^5*b*c*d^5+15*a^4*b^2*c^2*d^4-20*a^3*b^3*c^3*d^3+15*a^2*b^4*c^4*d^2-6*a*b^5*c^5*d+b^6*c^6)/b^11/(b*x+a)^8+10/3*d^9*(a*d-b*c)/b^11/(b*x+a)^3+36*d^5*(a^5*d^5-5*a^4*b*c*d^4+10*a^3*b^2*c^2*d^3-10*a^2*b^3*c^3*d^2+5*a*b^4*c^4*d-b^5*c^5)/b^11/(b*x+a)^7+40/3*d^3*(a^7*d^7-7*a^6*b*c*d^6+21*a^5*b^2*c^2*d^5-35*a^4*b^3*c^3*d^4+35*a^3*b^4*c^4*d^3-21*a^2*b^5*c^5*d^2+7*a*b^6*c^6*d-b^7*c^7)/b^11/(b*x+a)^9+24*d^7*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/b^11/(b*x+a)^5-1/2*d^10/b^11/(b*x+a)^2-45/4*d^8*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^11/(b*x+a)^4+10/11*d*(a^9*d^9-9*a^8*b*c*d^8+36*a^7*b^2*c^2*d^7-84*a^6*b^3*c^3*d^6+126*a^5*b^4*c^4*d^5-126*a^4*b^5*c^5*d^4+84*a^3*b^6*c^6*d^3-36*a^2*b^7*c^7*d^2+9*a*b^8*c^8*d-b^9*c^9)/b^11/(b*x+a)^11-1/12*(a^10*d^10-10*a^9*b*c*d^9+45*a^8*b^2*c^2*d^8-120*a^7*b^3*c^3*d^7+210*a^6*b^4*c^4*d^6-252*a^5*b^5*c^5*d^5+210*a^4*b^6*c^6*d^4-120*a^3*b^7*c^7*d^3+45*a^2*b^8*c^8*d^2-10*a*b^9*c^9*d+b^10*c^10)/b^11/(b*x+a)^12-35*d^6*(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)/b^11/(b*x+a)^6-9/2*d^2*(a^8*d^8-8*a^7*b*c*d^7+28*a^6*b^2*c^2*d^6-56*a^5*b^3*c^3*d^5+70*a^4*b^4*c^4*d^4-56*a^3*b^5*c^5*d^3+28*a^2*b^6*c^6*d^2-8*a*b^7*c^7*d+b^8*c^8)/b^11/(b*x+a)^10","B"
1325,1,867,83,0.009000," ","int((d*x+c)^10/(b*x+a)^14,x)","-\frac{d^{10}}{3 \left(b x +a \right)^{3} b^{11}}+\frac{5 \left(a d -b c \right) d^{9}}{2 \left(b x +a \right)^{4} b^{11}}-\frac{9 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) d^{8}}{\left(b x +a \right)^{5} b^{11}}+\frac{20 \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) d^{7}}{\left(b x +a \right)^{6} b^{11}}-\frac{30 \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) d^{6}}{\left(b x +a \right)^{7} b^{11}}+\frac{63 \left(a^{5} d^{5}-5 a^{4} b c \,d^{4}+10 a^{3} b^{2} c^{2} d^{3}-10 a^{2} b^{3} c^{3} d^{2}+5 a \,b^{4} c^{4} d -b^{5} c^{5}\right) d^{5}}{2 \left(b x +a \right)^{8} b^{11}}-\frac{70 \left(a^{6} d^{6}-6 a^{5} b c \,d^{5}+15 a^{4} b^{2} c^{2} d^{4}-20 a^{3} b^{3} c^{3} d^{3}+15 a^{2} b^{4} c^{4} d^{2}-6 a \,b^{5} c^{5} d +b^{6} c^{6}\right) d^{4}}{3 \left(b x +a \right)^{9} b^{11}}+\frac{12 \left(a^{7} d^{7}-7 a^{6} b c \,d^{6}+21 a^{5} b^{2} c^{2} d^{5}-35 a^{4} b^{3} c^{3} d^{4}+35 a^{3} b^{4} c^{4} d^{3}-21 a^{2} b^{5} c^{5} d^{2}+7 a \,b^{6} c^{6} d -b^{7} c^{7}\right) d^{3}}{\left(b x +a \right)^{10} b^{11}}-\frac{45 \left(a^{8} d^{8}-8 a^{7} b c \,d^{7}+28 a^{6} b^{2} c^{2} d^{6}-56 a^{5} b^{3} c^{3} d^{5}+70 a^{4} b^{4} c^{4} d^{4}-56 a^{3} b^{5} c^{5} d^{3}+28 a^{2} b^{6} c^{6} d^{2}-8 a \,b^{7} c^{7} d +b^{8} c^{8}\right) d^{2}}{11 \left(b x +a \right)^{11} b^{11}}+\frac{5 \left(a^{9} d^{9}-9 a^{8} b c \,d^{8}+36 a^{7} b^{2} c^{2} d^{7}-84 a^{6} b^{3} c^{3} d^{6}+126 a^{5} b^{4} c^{4} d^{5}-126 a^{4} b^{5} c^{5} d^{4}+84 a^{3} b^{6} c^{6} d^{3}-36 a^{2} b^{7} c^{7} d^{2}+9 a \,b^{8} c^{8} d -b^{9} c^{9}\right) d}{6 \left(b x +a \right)^{12} b^{11}}-\frac{d^{10} a^{10}-10 c \,d^{9} a^{9} b +45 c^{2} d^{8} a^{8} b^{2}-120 a^{7} c^{3} d^{7} b^{3}+210 c^{4} d^{6} a^{6} b^{4}-252 a^{5} c^{5} d^{5} b^{5}+210 a^{4} c^{6} d^{4} b^{6}-120 a^{3} c^{7} d^{3} b^{7}+45 a^{2} c^{8} d^{2} b^{8}-10 a \,b^{9} c^{9} d +c^{10} b^{10}}{13 \left(b x +a \right)^{13} b^{11}}"," ",0,"63/2*d^5*(a^5*d^5-5*a^4*b*c*d^4+10*a^3*b^2*c^2*d^3-10*a^2*b^3*c^3*d^2+5*a*b^4*c^4*d-b^5*c^5)/b^11/(b*x+a)^8-1/13*(a^10*d^10-10*a^9*b*c*d^9+45*a^8*b^2*c^2*d^8-120*a^7*b^3*c^3*d^7+210*a^6*b^4*c^4*d^6-252*a^5*b^5*c^5*d^5+210*a^4*b^6*c^6*d^4-120*a^3*b^7*c^7*d^3+45*a^2*b^8*c^8*d^2-10*a*b^9*c^9*d+b^10*c^10)/b^11/(b*x+a)^13-1/3*d^10/b^11/(b*x+a)^3-30*d^6*(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)/b^11/(b*x+a)^7-70/3*d^4*(a^6*d^6-6*a^5*b*c*d^5+15*a^4*b^2*c^2*d^4-20*a^3*b^3*c^3*d^3+15*a^2*b^4*c^4*d^2-6*a*b^5*c^5*d+b^6*c^6)/b^11/(b*x+a)^9-9*d^8*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^11/(b*x+a)^5+5/2*d^9*(a*d-b*c)/b^11/(b*x+a)^4-45/11*d^2*(a^8*d^8-8*a^7*b*c*d^7+28*a^6*b^2*c^2*d^6-56*a^5*b^3*c^3*d^5+70*a^4*b^4*c^4*d^4-56*a^3*b^5*c^5*d^3+28*a^2*b^6*c^6*d^2-8*a*b^7*c^7*d+b^8*c^8)/b^11/(b*x+a)^11+5/6*d*(a^9*d^9-9*a^8*b*c*d^8+36*a^7*b^2*c^2*d^7-84*a^6*b^3*c^3*d^6+126*a^5*b^4*c^4*d^5-126*a^4*b^5*c^5*d^4+84*a^3*b^6*c^6*d^3-36*a^2*b^7*c^7*d^2+9*a*b^8*c^8*d-b^9*c^9)/b^11/(b*x+a)^12+20*d^7*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/b^11/(b*x+a)^6+12*d^3*(a^7*d^7-7*a^6*b*c*d^6+21*a^5*b^2*c^2*d^5-35*a^4*b^3*c^3*d^4+35*a^3*b^4*c^4*d^3-21*a^2*b^5*c^5*d^2+7*a*b^6*c^6*d-b^7*c^7)/b^11/(b*x+a)^10","B"
1326,1,867,112,0.009000," ","int((d*x+c)^10/(b*x+a)^15,x)","-\frac{d^{10}}{4 \left(b x +a \right)^{4} b^{11}}+\frac{2 \left(a d -b c \right) d^{9}}{\left(b x +a \right)^{5} b^{11}}-\frac{15 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) d^{8}}{2 \left(b x +a \right)^{6} b^{11}}+\frac{120 \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) d^{7}}{7 \left(b x +a \right)^{7} b^{11}}-\frac{105 \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) d^{6}}{4 \left(b x +a \right)^{8} b^{11}}+\frac{28 \left(a^{5} d^{5}-5 a^{4} b c \,d^{4}+10 a^{3} b^{2} c^{2} d^{3}-10 a^{2} b^{3} c^{3} d^{2}+5 a \,b^{4} c^{4} d -b^{5} c^{5}\right) d^{5}}{\left(b x +a \right)^{9} b^{11}}-\frac{21 \left(a^{6} d^{6}-6 a^{5} b c \,d^{5}+15 a^{4} b^{2} c^{2} d^{4}-20 a^{3} b^{3} c^{3} d^{3}+15 a^{2} b^{4} c^{4} d^{2}-6 a \,b^{5} c^{5} d +b^{6} c^{6}\right) d^{4}}{\left(b x +a \right)^{10} b^{11}}+\frac{120 \left(a^{7} d^{7}-7 a^{6} b c \,d^{6}+21 a^{5} b^{2} c^{2} d^{5}-35 a^{4} b^{3} c^{3} d^{4}+35 a^{3} b^{4} c^{4} d^{3}-21 a^{2} b^{5} c^{5} d^{2}+7 a \,b^{6} c^{6} d -b^{7} c^{7}\right) d^{3}}{11 \left(b x +a \right)^{11} b^{11}}-\frac{15 \left(a^{8} d^{8}-8 a^{7} b c \,d^{7}+28 a^{6} b^{2} c^{2} d^{6}-56 a^{5} b^{3} c^{3} d^{5}+70 a^{4} b^{4} c^{4} d^{4}-56 a^{3} b^{5} c^{5} d^{3}+28 a^{2} b^{6} c^{6} d^{2}-8 a \,b^{7} c^{7} d +b^{8} c^{8}\right) d^{2}}{4 \left(b x +a \right)^{12} b^{11}}+\frac{10 \left(a^{9} d^{9}-9 a^{8} b c \,d^{8}+36 a^{7} b^{2} c^{2} d^{7}-84 a^{6} b^{3} c^{3} d^{6}+126 a^{5} b^{4} c^{4} d^{5}-126 a^{4} b^{5} c^{5} d^{4}+84 a^{3} b^{6} c^{6} d^{3}-36 a^{2} b^{7} c^{7} d^{2}+9 a \,b^{8} c^{8} d -b^{9} c^{9}\right) d}{13 \left(b x +a \right)^{13} b^{11}}-\frac{d^{10} a^{10}-10 c \,d^{9} a^{9} b +45 c^{2} d^{8} a^{8} b^{2}-120 a^{7} c^{3} d^{7} b^{3}+210 c^{4} d^{6} a^{6} b^{4}-252 a^{5} c^{5} d^{5} b^{5}+210 a^{4} c^{6} d^{4} b^{6}-120 a^{3} c^{7} d^{3} b^{7}+45 a^{2} c^{8} d^{2} b^{8}-10 a \,b^{9} c^{9} d +c^{10} b^{10}}{14 \left(b x +a \right)^{14} b^{11}}"," ",0,"-105/4*d^6*(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)/b^11/(b*x+a)^8+10/13*d*(a^9*d^9-9*a^8*b*c*d^8+36*a^7*b^2*c^2*d^7-84*a^6*b^3*c^3*d^6+126*a^5*b^4*c^4*d^5-126*a^4*b^5*c^5*d^4+84*a^3*b^6*c^6*d^3-36*a^2*b^7*c^7*d^2+9*a*b^8*c^8*d-b^9*c^9)/b^11/(b*x+a)^13+120/7*d^7*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/b^11/(b*x+a)^7+28*d^5*(a^5*d^5-5*a^4*b*c*d^4+10*a^3*b^2*c^2*d^3-10*a^2*b^3*c^3*d^2+5*a*b^4*c^4*d-b^5*c^5)/b^11/(b*x+a)^9+2*d^9*(a*d-b*c)/b^11/(b*x+a)^5-1/4*d^10/b^11/(b*x+a)^4+120/11*d^3*(a^7*d^7-7*a^6*b*c*d^6+21*a^5*b^2*c^2*d^5-35*a^4*b^3*c^3*d^4+35*a^3*b^4*c^4*d^3-21*a^2*b^5*c^5*d^2+7*a*b^6*c^6*d-b^7*c^7)/b^11/(b*x+a)^11-15/4*d^2*(a^8*d^8-8*a^7*b*c*d^7+28*a^6*b^2*c^2*d^6-56*a^5*b^3*c^3*d^5+70*a^4*b^4*c^4*d^4-56*a^3*b^5*c^5*d^3+28*a^2*b^6*c^6*d^2-8*a*b^7*c^7*d+b^8*c^8)/b^11/(b*x+a)^12-15/2*d^8*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^11/(b*x+a)^6-21*d^4*(a^6*d^6-6*a^5*b*c*d^5+15*a^4*b^2*c^2*d^4-20*a^3*b^3*c^3*d^3+15*a^2*b^4*c^4*d^2-6*a*b^5*c^5*d+b^6*c^6)/b^11/(b*x+a)^10-1/14*(a^10*d^10-10*a^9*b*c*d^9+45*a^8*b^2*c^2*d^8-120*a^7*b^3*c^3*d^7+210*a^6*b^4*c^4*d^6-252*a^5*b^5*c^5*d^5+210*a^4*b^6*c^6*d^4-120*a^3*b^7*c^7*d^3+45*a^2*b^8*c^8*d^2-10*a*b^9*c^9*d+b^10*c^10)/b^11/(b*x+a)^14","B"
1327,1,867,141,0.009000," ","int((d*x+c)^10/(b*x+a)^16,x)","-\frac{d^{10}}{5 \left(b x +a \right)^{5} b^{11}}+\frac{5 \left(a d -b c \right) d^{9}}{3 \left(b x +a \right)^{6} b^{11}}-\frac{45 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) d^{8}}{7 \left(b x +a \right)^{7} b^{11}}+\frac{15 \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) d^{7}}{\left(b x +a \right)^{8} b^{11}}-\frac{70 \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) d^{6}}{3 \left(b x +a \right)^{9} b^{11}}+\frac{126 \left(a^{5} d^{5}-5 a^{4} b c \,d^{4}+10 a^{3} b^{2} c^{2} d^{3}-10 a^{2} b^{3} c^{3} d^{2}+5 a \,b^{4} c^{4} d -b^{5} c^{5}\right) d^{5}}{5 \left(b x +a \right)^{10} b^{11}}-\frac{210 \left(a^{6} d^{6}-6 a^{5} b c \,d^{5}+15 a^{4} b^{2} c^{2} d^{4}-20 a^{3} b^{3} c^{3} d^{3}+15 a^{2} b^{4} c^{4} d^{2}-6 a \,b^{5} c^{5} d +b^{6} c^{6}\right) d^{4}}{11 \left(b x +a \right)^{11} b^{11}}+\frac{10 \left(a^{7} d^{7}-7 a^{6} b c \,d^{6}+21 a^{5} b^{2} c^{2} d^{5}-35 a^{4} b^{3} c^{3} d^{4}+35 a^{3} b^{4} c^{4} d^{3}-21 a^{2} b^{5} c^{5} d^{2}+7 a \,b^{6} c^{6} d -b^{7} c^{7}\right) d^{3}}{\left(b x +a \right)^{12} b^{11}}-\frac{45 \left(a^{8} d^{8}-8 a^{7} b c \,d^{7}+28 a^{6} b^{2} c^{2} d^{6}-56 a^{5} b^{3} c^{3} d^{5}+70 a^{4} b^{4} c^{4} d^{4}-56 a^{3} b^{5} c^{5} d^{3}+28 a^{2} b^{6} c^{6} d^{2}-8 a \,b^{7} c^{7} d +b^{8} c^{8}\right) d^{2}}{13 \left(b x +a \right)^{13} b^{11}}+\frac{5 \left(a^{9} d^{9}-9 a^{8} b c \,d^{8}+36 a^{7} b^{2} c^{2} d^{7}-84 a^{6} b^{3} c^{3} d^{6}+126 a^{5} b^{4} c^{4} d^{5}-126 a^{4} b^{5} c^{5} d^{4}+84 a^{3} b^{6} c^{6} d^{3}-36 a^{2} b^{7} c^{7} d^{2}+9 a \,b^{8} c^{8} d -b^{9} c^{9}\right) d}{7 \left(b x +a \right)^{14} b^{11}}-\frac{d^{10} a^{10}-10 c \,d^{9} a^{9} b +45 c^{2} d^{8} a^{8} b^{2}-120 a^{7} c^{3} d^{7} b^{3}+210 c^{4} d^{6} a^{6} b^{4}-252 a^{5} c^{5} d^{5} b^{5}+210 a^{4} c^{6} d^{4} b^{6}-120 a^{3} c^{7} d^{3} b^{7}+45 a^{2} c^{8} d^{2} b^{8}-10 a \,b^{9} c^{9} d +c^{10} b^{10}}{15 \left(b x +a \right)^{15} b^{11}}"," ",0,"15*d^7*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/b^11/(b*x+a)^8-45/13*d^2*(a^8*d^8-8*a^7*b*c*d^7+28*a^6*b^2*c^2*d^6-56*a^5*b^3*c^3*d^5+70*a^4*b^4*c^4*d^4-56*a^3*b^5*c^5*d^3+28*a^2*b^6*c^6*d^2-8*a*b^7*c^7*d+b^8*c^8)/b^11/(b*x+a)^13-45/7*d^8*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^11/(b*x+a)^7-70/3*d^6*(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)/b^11/(b*x+a)^9-1/5*d^10/b^11/(b*x+a)^5-210/11*d^4*(a^6*d^6-6*a^5*b*c*d^5+15*a^4*b^2*c^2*d^4-20*a^3*b^3*c^3*d^3+15*a^2*b^4*c^4*d^2-6*a*b^5*c^5*d+b^6*c^6)/b^11/(b*x+a)^11-1/15*(a^10*d^10-10*a^9*b*c*d^9+45*a^8*b^2*c^2*d^8-120*a^7*b^3*c^3*d^7+210*a^6*b^4*c^4*d^6-252*a^5*b^5*c^5*d^5+210*a^4*b^6*c^6*d^4-120*a^3*b^7*c^7*d^3+45*a^2*b^8*c^8*d^2-10*a*b^9*c^9*d+b^10*c^10)/b^11/(b*x+a)^15+10*d^3*(a^7*d^7-7*a^6*b*c*d^6+21*a^5*b^2*c^2*d^5-35*a^4*b^3*c^3*d^4+35*a^3*b^4*c^4*d^3-21*a^2*b^5*c^5*d^2+7*a*b^6*c^6*d-b^7*c^7)/b^11/(b*x+a)^12+5/3*d^9*(a*d-b*c)/b^11/(b*x+a)^6+126/5*d^5*(a^5*d^5-5*a^4*b*c*d^4+10*a^3*b^2*c^2*d^3-10*a^2*b^3*c^3*d^2+5*a*b^4*c^4*d-b^5*c^5)/b^11/(b*x+a)^10+5/7*d*(a^9*d^9-9*a^8*b*c*d^8+36*a^7*b^2*c^2*d^7-84*a^6*b^3*c^3*d^6+126*a^5*b^4*c^4*d^5-126*a^4*b^5*c^5*d^4+84*a^3*b^6*c^6*d^3-36*a^2*b^7*c^7*d^2+9*a*b^8*c^8*d-b^9*c^9)/b^11/(b*x+a)^14","B"
1328,1,867,170,0.009000," ","int((d*x+c)^10/(b*x+a)^17,x)","-\frac{d^{10}}{6 \left(b x +a \right)^{6} b^{11}}+\frac{10 \left(a d -b c \right) d^{9}}{7 \left(b x +a \right)^{7} b^{11}}-\frac{45 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) d^{8}}{8 \left(b x +a \right)^{8} b^{11}}+\frac{40 \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) d^{7}}{3 \left(b x +a \right)^{9} b^{11}}-\frac{21 \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) d^{6}}{\left(b x +a \right)^{10} b^{11}}+\frac{252 \left(a^{5} d^{5}-5 a^{4} b c \,d^{4}+10 a^{3} b^{2} c^{2} d^{3}-10 a^{2} b^{3} c^{3} d^{2}+5 a \,b^{4} c^{4} d -b^{5} c^{5}\right) d^{5}}{11 \left(b x +a \right)^{11} b^{11}}-\frac{35 \left(a^{6} d^{6}-6 a^{5} b c \,d^{5}+15 a^{4} b^{2} c^{2} d^{4}-20 a^{3} b^{3} c^{3} d^{3}+15 a^{2} b^{4} c^{4} d^{2}-6 a \,b^{5} c^{5} d +b^{6} c^{6}\right) d^{4}}{2 \left(b x +a \right)^{12} b^{11}}+\frac{120 \left(a^{7} d^{7}-7 a^{6} b c \,d^{6}+21 a^{5} b^{2} c^{2} d^{5}-35 a^{4} b^{3} c^{3} d^{4}+35 a^{3} b^{4} c^{4} d^{3}-21 a^{2} b^{5} c^{5} d^{2}+7 a \,b^{6} c^{6} d -b^{7} c^{7}\right) d^{3}}{13 \left(b x +a \right)^{13} b^{11}}-\frac{45 \left(a^{8} d^{8}-8 a^{7} b c \,d^{7}+28 a^{6} b^{2} c^{2} d^{6}-56 a^{5} b^{3} c^{3} d^{5}+70 a^{4} b^{4} c^{4} d^{4}-56 a^{3} b^{5} c^{5} d^{3}+28 a^{2} b^{6} c^{6} d^{2}-8 a \,b^{7} c^{7} d +b^{8} c^{8}\right) d^{2}}{14 \left(b x +a \right)^{14} b^{11}}+\frac{2 \left(a^{9} d^{9}-9 a^{8} b c \,d^{8}+36 a^{7} b^{2} c^{2} d^{7}-84 a^{6} b^{3} c^{3} d^{6}+126 a^{5} b^{4} c^{4} d^{5}-126 a^{4} b^{5} c^{5} d^{4}+84 a^{3} b^{6} c^{6} d^{3}-36 a^{2} b^{7} c^{7} d^{2}+9 a \,b^{8} c^{8} d -b^{9} c^{9}\right) d}{3 \left(b x +a \right)^{15} b^{11}}-\frac{d^{10} a^{10}-10 c \,d^{9} a^{9} b +45 c^{2} d^{8} a^{8} b^{2}-120 a^{7} c^{3} d^{7} b^{3}+210 c^{4} d^{6} a^{6} b^{4}-252 a^{5} c^{5} d^{5} b^{5}+210 a^{4} c^{6} d^{4} b^{6}-120 a^{3} c^{7} d^{3} b^{7}+45 a^{2} c^{8} d^{2} b^{8}-10 a \,b^{9} c^{9} d +c^{10} b^{10}}{16 \left(b x +a \right)^{16} b^{11}}"," ",0,"-45/8*d^8*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^11/(b*x+a)^8+120/13*d^3*(a^7*d^7-7*a^6*b*c*d^6+21*a^5*b^2*c^2*d^5-35*a^4*b^3*c^3*d^4+35*a^3*b^4*c^4*d^3-21*a^2*b^5*c^5*d^2+7*a*b^6*c^6*d-b^7*c^7)/b^11/(b*x+a)^13+10/7*d^9*(a*d-b*c)/b^11/(b*x+a)^7+40/3*d^7*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/b^11/(b*x+a)^9+252/11*d^5*(a^5*d^5-5*a^4*b*c*d^4+10*a^3*b^2*c^2*d^3-10*a^2*b^3*c^3*d^2+5*a*b^4*c^4*d-b^5*c^5)/b^11/(b*x+a)^11+2/3*d*(a^9*d^9-9*a^8*b*c*d^8+36*a^7*b^2*c^2*d^7-84*a^6*b^3*c^3*d^6+126*a^5*b^4*c^4*d^5-126*a^4*b^5*c^5*d^4+84*a^3*b^6*c^6*d^3-36*a^2*b^7*c^7*d^2+9*a*b^8*c^8*d-b^9*c^9)/b^11/(b*x+a)^15-35/2*d^4*(a^6*d^6-6*a^5*b*c*d^5+15*a^4*b^2*c^2*d^4-20*a^3*b^3*c^3*d^3+15*a^2*b^4*c^4*d^2-6*a*b^5*c^5*d+b^6*c^6)/b^11/(b*x+a)^12-1/6*d^10/b^11/(b*x+a)^6-21*d^6*(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)/b^11/(b*x+a)^10-45/14*d^2*(a^8*d^8-8*a^7*b*c*d^7+28*a^6*b^2*c^2*d^6-56*a^5*b^3*c^3*d^5+70*a^4*b^4*c^4*d^4-56*a^3*b^5*c^5*d^3+28*a^2*b^6*c^6*d^2-8*a*b^7*c^7*d+b^8*c^8)/b^11/(b*x+a)^14-1/16*(a^10*d^10-10*a^9*b*c*d^9+45*a^8*b^2*c^2*d^8-120*a^7*b^3*c^3*d^7+210*a^6*b^4*c^4*d^6-252*a^5*b^5*c^5*d^5+210*a^4*b^6*c^6*d^4-120*a^3*b^7*c^7*d^3+45*a^2*b^8*c^8*d^2-10*a*b^9*c^9*d+b^10*c^10)/b^11/(b*x+a)^16","B"
1329,1,867,199,0.010000," ","int((d*x+c)^10/(b*x+a)^18,x)","-\frac{d^{10}}{7 \left(b x +a \right)^{7} b^{11}}+\frac{5 \left(a d -b c \right) d^{9}}{4 \left(b x +a \right)^{8} b^{11}}-\frac{5 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) d^{8}}{\left(b x +a \right)^{9} b^{11}}+\frac{12 \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) d^{7}}{\left(b x +a \right)^{10} b^{11}}-\frac{210 \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) d^{6}}{11 \left(b x +a \right)^{11} b^{11}}+\frac{21 \left(a^{5} d^{5}-5 a^{4} b c \,d^{4}+10 a^{3} b^{2} c^{2} d^{3}-10 a^{2} b^{3} c^{3} d^{2}+5 a \,b^{4} c^{4} d -b^{5} c^{5}\right) d^{5}}{\left(b x +a \right)^{12} b^{11}}-\frac{210 \left(a^{6} d^{6}-6 a^{5} b c \,d^{5}+15 a^{4} b^{2} c^{2} d^{4}-20 a^{3} b^{3} c^{3} d^{3}+15 a^{2} b^{4} c^{4} d^{2}-6 a \,b^{5} c^{5} d +b^{6} c^{6}\right) d^{4}}{13 \left(b x +a \right)^{13} b^{11}}+\frac{60 \left(a^{7} d^{7}-7 a^{6} b c \,d^{6}+21 a^{5} b^{2} c^{2} d^{5}-35 a^{4} b^{3} c^{3} d^{4}+35 a^{3} b^{4} c^{4} d^{3}-21 a^{2} b^{5} c^{5} d^{2}+7 a \,b^{6} c^{6} d -b^{7} c^{7}\right) d^{3}}{7 \left(b x +a \right)^{14} b^{11}}-\frac{3 \left(a^{8} d^{8}-8 a^{7} b c \,d^{7}+28 a^{6} b^{2} c^{2} d^{6}-56 a^{5} b^{3} c^{3} d^{5}+70 a^{4} b^{4} c^{4} d^{4}-56 a^{3} b^{5} c^{5} d^{3}+28 a^{2} b^{6} c^{6} d^{2}-8 a \,b^{7} c^{7} d +b^{8} c^{8}\right) d^{2}}{\left(b x +a \right)^{15} b^{11}}+\frac{5 \left(a^{9} d^{9}-9 a^{8} b c \,d^{8}+36 a^{7} b^{2} c^{2} d^{7}-84 a^{6} b^{3} c^{3} d^{6}+126 a^{5} b^{4} c^{4} d^{5}-126 a^{4} b^{5} c^{5} d^{4}+84 a^{3} b^{6} c^{6} d^{3}-36 a^{2} b^{7} c^{7} d^{2}+9 a \,b^{8} c^{8} d -b^{9} c^{9}\right) d}{8 \left(b x +a \right)^{16} b^{11}}-\frac{d^{10} a^{10}-10 c \,d^{9} a^{9} b +45 c^{2} d^{8} a^{8} b^{2}-120 a^{7} c^{3} d^{7} b^{3}+210 c^{4} d^{6} a^{6} b^{4}-252 a^{5} c^{5} d^{5} b^{5}+210 a^{4} c^{6} d^{4} b^{6}-120 a^{3} c^{7} d^{3} b^{7}+45 a^{2} c^{8} d^{2} b^{8}-10 a \,b^{9} c^{9} d +c^{10} b^{10}}{17 \left(b x +a \right)^{17} b^{11}}"," ",0,"5/4*d^9*(a*d-b*c)/b^11/(b*x+a)^8-210/13*d^4*(a^6*d^6-6*a^5*b*c*d^5+15*a^4*b^2*c^2*d^4-20*a^3*b^3*c^3*d^3+15*a^2*b^4*c^4*d^2-6*a*b^5*c^5*d+b^6*c^6)/b^11/(b*x+a)^13-1/7*d^10/b^11/(b*x+a)^7-5*d^8*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^11/(b*x+a)^9-1/17*(a^10*d^10-10*a^9*b*c*d^9+45*a^8*b^2*c^2*d^8-120*a^7*b^3*c^3*d^7+210*a^6*b^4*c^4*d^6-252*a^5*b^5*c^5*d^5+210*a^4*b^6*c^6*d^4-120*a^3*b^7*c^7*d^3+45*a^2*b^8*c^8*d^2-10*a*b^9*c^9*d+b^10*c^10)/b^11/(b*x+a)^17-210/11*d^6*(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)/b^11/(b*x+a)^11-3*d^2*(a^8*d^8-8*a^7*b*c*d^7+28*a^6*b^2*c^2*d^6-56*a^5*b^3*c^3*d^5+70*a^4*b^4*c^4*d^4-56*a^3*b^5*c^5*d^3+28*a^2*b^6*c^6*d^2-8*a*b^7*c^7*d+b^8*c^8)/b^11/(b*x+a)^15+21*d^5*(a^5*d^5-5*a^4*b*c*d^4+10*a^3*b^2*c^2*d^3-10*a^2*b^3*c^3*d^2+5*a*b^4*c^4*d-b^5*c^5)/b^11/(b*x+a)^12+12*d^7*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/b^11/(b*x+a)^10+60/7*d^3*(a^7*d^7-7*a^6*b*c*d^6+21*a^5*b^2*c^2*d^5-35*a^4*b^3*c^3*d^4+35*a^3*b^4*c^4*d^3-21*a^2*b^5*c^5*d^2+7*a*b^6*c^6*d-b^7*c^7)/b^11/(b*x+a)^14+5/8*d*(a^9*d^9-9*a^8*b*c*d^8+36*a^7*b^2*c^2*d^7-84*a^6*b^3*c^3*d^6+126*a^5*b^4*c^4*d^5-126*a^4*b^5*c^5*d^4+84*a^3*b^6*c^6*d^3-36*a^2*b^7*c^7*d^2+9*a*b^8*c^8*d-b^9*c^9)/b^11/(b*x+a)^16","B"
1330,1,867,228,0.009000," ","int((d*x+c)^10/(b*x+a)^19,x)","-\frac{d^{10}}{8 \left(b x +a \right)^{8} b^{11}}+\frac{10 \left(a d -b c \right) d^{9}}{9 \left(b x +a \right)^{9} b^{11}}-\frac{9 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) d^{8}}{2 \left(b x +a \right)^{10} b^{11}}+\frac{120 \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) d^{7}}{11 \left(b x +a \right)^{11} b^{11}}-\frac{35 \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) d^{6}}{2 \left(b x +a \right)^{12} b^{11}}+\frac{252 \left(a^{5} d^{5}-5 a^{4} b c \,d^{4}+10 a^{3} b^{2} c^{2} d^{3}-10 a^{2} b^{3} c^{3} d^{2}+5 a \,b^{4} c^{4} d -b^{5} c^{5}\right) d^{5}}{13 \left(b x +a \right)^{13} b^{11}}-\frac{15 \left(a^{6} d^{6}-6 a^{5} b c \,d^{5}+15 a^{4} b^{2} c^{2} d^{4}-20 a^{3} b^{3} c^{3} d^{3}+15 a^{2} b^{4} c^{4} d^{2}-6 a \,b^{5} c^{5} d +b^{6} c^{6}\right) d^{4}}{\left(b x +a \right)^{14} b^{11}}+\frac{8 \left(a^{7} d^{7}-7 a^{6} b c \,d^{6}+21 a^{5} b^{2} c^{2} d^{5}-35 a^{4} b^{3} c^{3} d^{4}+35 a^{3} b^{4} c^{4} d^{3}-21 a^{2} b^{5} c^{5} d^{2}+7 a \,b^{6} c^{6} d -b^{7} c^{7}\right) d^{3}}{\left(b x +a \right)^{15} b^{11}}-\frac{45 \left(a^{8} d^{8}-8 a^{7} b c \,d^{7}+28 a^{6} b^{2} c^{2} d^{6}-56 a^{5} b^{3} c^{3} d^{5}+70 a^{4} b^{4} c^{4} d^{4}-56 a^{3} b^{5} c^{5} d^{3}+28 a^{2} b^{6} c^{6} d^{2}-8 a \,b^{7} c^{7} d +b^{8} c^{8}\right) d^{2}}{16 \left(b x +a \right)^{16} b^{11}}+\frac{10 \left(a^{9} d^{9}-9 a^{8} b c \,d^{8}+36 a^{7} b^{2} c^{2} d^{7}-84 a^{6} b^{3} c^{3} d^{6}+126 a^{5} b^{4} c^{4} d^{5}-126 a^{4} b^{5} c^{5} d^{4}+84 a^{3} b^{6} c^{6} d^{3}-36 a^{2} b^{7} c^{7} d^{2}+9 a \,b^{8} c^{8} d -b^{9} c^{9}\right) d}{17 \left(b x +a \right)^{17} b^{11}}-\frac{d^{10} a^{10}-10 c \,d^{9} a^{9} b +45 c^{2} d^{8} a^{8} b^{2}-120 a^{7} c^{3} d^{7} b^{3}+210 c^{4} d^{6} a^{6} b^{4}-252 a^{5} c^{5} d^{5} b^{5}+210 a^{4} c^{6} d^{4} b^{6}-120 a^{3} c^{7} d^{3} b^{7}+45 a^{2} c^{8} d^{2} b^{8}-10 a \,b^{9} c^{9} d +c^{10} b^{10}}{18 \left(b x +a \right)^{18} b^{11}}"," ",0,"-1/8*d^10/b^11/(b*x+a)^8+252/13*d^5*(a^5*d^5-5*a^4*b*c*d^4+10*a^3*b^2*c^2*d^3-10*a^2*b^3*c^3*d^2+5*a*b^4*c^4*d-b^5*c^5)/b^11/(b*x+a)^13+10/9*d^9*(a*d-b*c)/b^11/(b*x+a)^9+10/17*d*(a^9*d^9-9*a^8*b*c*d^8+36*a^7*b^2*c^2*d^7-84*a^6*b^3*c^3*d^6+126*a^5*b^4*c^4*d^5-126*a^4*b^5*c^5*d^4+84*a^3*b^6*c^6*d^3-36*a^2*b^7*c^7*d^2+9*a*b^8*c^8*d-b^9*c^9)/b^11/(b*x+a)^17+120/11*d^7*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/b^11/(b*x+a)^11+8*d^3*(a^7*d^7-7*a^6*b*c*d^6+21*a^5*b^2*c^2*d^5-35*a^4*b^3*c^3*d^4+35*a^3*b^4*c^4*d^3-21*a^2*b^5*c^5*d^2+7*a*b^6*c^6*d-b^7*c^7)/b^11/(b*x+a)^15-35/2*d^6*(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)/b^11/(b*x+a)^12-1/18*(a^10*d^10-10*a^9*b*c*d^9+45*a^8*b^2*c^2*d^8-120*a^7*b^3*c^3*d^7+210*a^6*b^4*c^4*d^6-252*a^5*b^5*c^5*d^5+210*a^4*b^6*c^6*d^4-120*a^3*b^7*c^7*d^3+45*a^2*b^8*c^8*d^2-10*a*b^9*c^9*d+b^10*c^10)/b^11/(b*x+a)^18-9/2*d^8*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^11/(b*x+a)^10-15*d^4*(a^6*d^6-6*a^5*b*c*d^5+15*a^4*b^2*c^2*d^4-20*a^3*b^3*c^3*d^3+15*a^2*b^4*c^4*d^2-6*a*b^5*c^5*d+b^6*c^6)/b^11/(b*x+a)^14-45/16*d^2*(a^8*d^8-8*a^7*b*c*d^7+28*a^6*b^2*c^2*d^6-56*a^5*b^3*c^3*d^5+70*a^4*b^4*c^4*d^4-56*a^3*b^5*c^5*d^3+28*a^2*b^6*c^6*d^2-8*a*b^7*c^7*d+b^8*c^8)/b^11/(b*x+a)^16","B"
1331,1,866,259,0.009000," ","int((d*x+c)^10/(b*x+a)^20,x)","-\frac{d^{10}}{9 \left(b x +a \right)^{9} b^{11}}+\frac{\left(a d -b c \right) d^{9}}{\left(b x +a \right)^{10} b^{11}}-\frac{45 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) d^{8}}{11 \left(b x +a \right)^{11} b^{11}}+\frac{10 \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) d^{7}}{\left(b x +a \right)^{12} b^{11}}-\frac{210 \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) d^{6}}{13 \left(b x +a \right)^{13} b^{11}}+\frac{18 \left(a^{5} d^{5}-5 a^{4} b c \,d^{4}+10 a^{3} b^{2} c^{2} d^{3}-10 a^{2} b^{3} c^{3} d^{2}+5 a \,b^{4} c^{4} d -b^{5} c^{5}\right) d^{5}}{\left(b x +a \right)^{14} b^{11}}-\frac{14 \left(a^{6} d^{6}-6 a^{5} b c \,d^{5}+15 a^{4} b^{2} c^{2} d^{4}-20 a^{3} b^{3} c^{3} d^{3}+15 a^{2} b^{4} c^{4} d^{2}-6 a \,b^{5} c^{5} d +b^{6} c^{6}\right) d^{4}}{\left(b x +a \right)^{15} b^{11}}+\frac{15 \left(a^{7} d^{7}-7 a^{6} b c \,d^{6}+21 a^{5} b^{2} c^{2} d^{5}-35 a^{4} b^{3} c^{3} d^{4}+35 a^{3} b^{4} c^{4} d^{3}-21 a^{2} b^{5} c^{5} d^{2}+7 a \,b^{6} c^{6} d -b^{7} c^{7}\right) d^{3}}{2 \left(b x +a \right)^{16} b^{11}}-\frac{45 \left(a^{8} d^{8}-8 a^{7} b c \,d^{7}+28 a^{6} b^{2} c^{2} d^{6}-56 a^{5} b^{3} c^{3} d^{5}+70 a^{4} b^{4} c^{4} d^{4}-56 a^{3} b^{5} c^{5} d^{3}+28 a^{2} b^{6} c^{6} d^{2}-8 a \,b^{7} c^{7} d +b^{8} c^{8}\right) d^{2}}{17 \left(b x +a \right)^{17} b^{11}}+\frac{5 \left(a^{9} d^{9}-9 a^{8} b c \,d^{8}+36 a^{7} b^{2} c^{2} d^{7}-84 a^{6} b^{3} c^{3} d^{6}+126 a^{5} b^{4} c^{4} d^{5}-126 a^{4} b^{5} c^{5} d^{4}+84 a^{3} b^{6} c^{6} d^{3}-36 a^{2} b^{7} c^{7} d^{2}+9 a \,b^{8} c^{8} d -b^{9} c^{9}\right) d}{9 \left(b x +a \right)^{18} b^{11}}-\frac{d^{10} a^{10}-10 c \,d^{9} a^{9} b +45 c^{2} d^{8} a^{8} b^{2}-120 a^{7} c^{3} d^{7} b^{3}+210 c^{4} d^{6} a^{6} b^{4}-252 a^{5} c^{5} d^{5} b^{5}+210 a^{4} c^{6} d^{4} b^{6}-120 a^{3} c^{7} d^{3} b^{7}+45 a^{2} c^{8} d^{2} b^{8}-10 a \,b^{9} c^{9} d +c^{10} b^{10}}{19 \left(b x +a \right)^{19} b^{11}}"," ",0,"-210/13*d^6*(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)/b^11/(b*x+a)^13-1/9*d^10/b^11/(b*x+a)^9-45/17*d^2*(a^8*d^8-8*a^7*b*c*d^7+28*a^6*b^2*c^2*d^6-56*a^5*b^3*c^3*d^5+70*a^4*b^4*c^4*d^4-56*a^3*b^5*c^5*d^3+28*a^2*b^6*c^6*d^2-8*a*b^7*c^7*d+b^8*c^8)/b^11/(b*x+a)^17-45/11*d^8*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^11/(b*x+a)^11-14*d^4*(a^6*d^6-6*a^5*b*c*d^5+15*a^4*b^2*c^2*d^4-20*a^3*b^3*c^3*d^3+15*a^2*b^4*c^4*d^2-6*a*b^5*c^5*d+b^6*c^6)/b^11/(b*x+a)^15+10*d^7*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/b^11/(b*x+a)^12+5/9*d*(a^9*d^9-9*a^8*b*c*d^8+36*a^7*b^2*c^2*d^7-84*a^6*b^3*c^3*d^6+126*a^5*b^4*c^4*d^5-126*a^4*b^5*c^5*d^4+84*a^3*b^6*c^6*d^3-36*a^2*b^7*c^7*d^2+9*a*b^8*c^8*d-b^9*c^9)/b^11/(b*x+a)^18-1/19*(a^10*d^10-10*a^9*b*c*d^9+45*a^8*b^2*c^2*d^8-120*a^7*b^3*c^3*d^7+210*a^6*b^4*c^4*d^6-252*a^5*b^5*c^5*d^5+210*a^4*b^6*c^6*d^4-120*a^3*b^7*c^7*d^3+45*a^2*b^8*c^8*d^2-10*a*b^9*c^9*d+b^10*c^10)/b^11/(b*x+a)^19+d^9*(a*d-b*c)/b^11/(b*x+a)^10+18*d^5*(a^5*d^5-5*a^4*b*c*d^4+10*a^3*b^2*c^2*d^3-10*a^2*b^3*c^3*d^2+5*a*b^4*c^4*d-b^5*c^5)/b^11/(b*x+a)^14+15/2*d^3*(a^7*d^7-7*a^6*b*c*d^6+21*a^5*b^2*c^2*d^5-35*a^4*b^3*c^3*d^4+35*a^3*b^4*c^4*d^3-21*a^2*b^5*c^5*d^2+7*a*b^6*c^6*d-b^7*c^7)/b^11/(b*x+a)^16","B"
1332,1,867,259,0.009000," ","int((d*x+c)^10/(b*x+a)^21,x)","-\frac{d^{10}}{10 \left(b x +a \right)^{10} b^{11}}+\frac{10 \left(a d -b c \right) d^{9}}{11 \left(b x +a \right)^{11} b^{11}}-\frac{15 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) d^{8}}{4 \left(b x +a \right)^{12} b^{11}}+\frac{120 \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) d^{7}}{13 \left(b x +a \right)^{13} b^{11}}-\frac{15 \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) d^{6}}{\left(b x +a \right)^{14} b^{11}}+\frac{84 \left(a^{5} d^{5}-5 a^{4} b c \,d^{4}+10 a^{3} b^{2} c^{2} d^{3}-10 a^{2} b^{3} c^{3} d^{2}+5 a \,b^{4} c^{4} d -b^{5} c^{5}\right) d^{5}}{5 \left(b x +a \right)^{15} b^{11}}-\frac{105 \left(a^{6} d^{6}-6 a^{5} b c \,d^{5}+15 a^{4} b^{2} c^{2} d^{4}-20 a^{3} b^{3} c^{3} d^{3}+15 a^{2} b^{4} c^{4} d^{2}-6 a \,b^{5} c^{5} d +b^{6} c^{6}\right) d^{4}}{8 \left(b x +a \right)^{16} b^{11}}+\frac{120 \left(a^{7} d^{7}-7 a^{6} b c \,d^{6}+21 a^{5} b^{2} c^{2} d^{5}-35 a^{4} b^{3} c^{3} d^{4}+35 a^{3} b^{4} c^{4} d^{3}-21 a^{2} b^{5} c^{5} d^{2}+7 a \,b^{6} c^{6} d -b^{7} c^{7}\right) d^{3}}{17 \left(b x +a \right)^{17} b^{11}}-\frac{5 \left(a^{8} d^{8}-8 a^{7} b c \,d^{7}+28 a^{6} b^{2} c^{2} d^{6}-56 a^{5} b^{3} c^{3} d^{5}+70 a^{4} b^{4} c^{4} d^{4}-56 a^{3} b^{5} c^{5} d^{3}+28 a^{2} b^{6} c^{6} d^{2}-8 a \,b^{7} c^{7} d +b^{8} c^{8}\right) d^{2}}{2 \left(b x +a \right)^{18} b^{11}}+\frac{10 \left(a^{9} d^{9}-9 a^{8} b c \,d^{8}+36 a^{7} b^{2} c^{2} d^{7}-84 a^{6} b^{3} c^{3} d^{6}+126 a^{5} b^{4} c^{4} d^{5}-126 a^{4} b^{5} c^{5} d^{4}+84 a^{3} b^{6} c^{6} d^{3}-36 a^{2} b^{7} c^{7} d^{2}+9 a \,b^{8} c^{8} d -b^{9} c^{9}\right) d}{19 \left(b x +a \right)^{19} b^{11}}-\frac{d^{10} a^{10}-10 c \,d^{9} a^{9} b +45 c^{2} d^{8} a^{8} b^{2}-120 a^{7} c^{3} d^{7} b^{3}+210 c^{4} d^{6} a^{6} b^{4}-252 a^{5} c^{5} d^{5} b^{5}+210 a^{4} c^{6} d^{4} b^{6}-120 a^{3} c^{7} d^{3} b^{7}+45 a^{2} c^{8} d^{2} b^{8}-10 a \,b^{9} c^{9} d +c^{10} b^{10}}{20 \left(b x +a \right)^{20} b^{11}}"," ",0,"120/13*d^7*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/b^11/(b*x+a)^13-1/20*(a^10*d^10-10*a^9*b*c*d^9+45*a^8*b^2*c^2*d^8-120*a^7*b^3*c^3*d^7+210*a^6*b^4*c^4*d^6-252*a^5*b^5*c^5*d^5+210*a^4*b^6*c^6*d^4-120*a^3*b^7*c^7*d^3+45*a^2*b^8*c^8*d^2-10*a*b^9*c^9*d+b^10*c^10)/b^11/(b*x+a)^20+120/17*d^3*(a^7*d^7-7*a^6*b*c*d^6+21*a^5*b^2*c^2*d^5-35*a^4*b^3*c^3*d^4+35*a^3*b^4*c^4*d^3-21*a^2*b^5*c^5*d^2+7*a*b^6*c^6*d-b^7*c^7)/b^11/(b*x+a)^17+10/11*d^9*(a*d-b*c)/b^11/(b*x+a)^11+84/5*d^5*(a^5*d^5-5*a^4*b*c*d^4+10*a^3*b^2*c^2*d^3-10*a^2*b^3*c^3*d^2+5*a*b^4*c^4*d-b^5*c^5)/b^11/(b*x+a)^15-15/4*d^8*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^11/(b*x+a)^12-5/2*d^2*(a^8*d^8-8*a^7*b*c*d^7+28*a^6*b^2*c^2*d^6-56*a^5*b^3*c^3*d^5+70*a^4*b^4*c^4*d^4-56*a^3*b^5*c^5*d^3+28*a^2*b^6*c^6*d^2-8*a*b^7*c^7*d+b^8*c^8)/b^11/(b*x+a)^18+10/19*d*(a^9*d^9-9*a^8*b*c*d^8+36*a^7*b^2*c^2*d^7-84*a^6*b^3*c^3*d^6+126*a^5*b^4*c^4*d^5-126*a^4*b^5*c^5*d^4+84*a^3*b^6*c^6*d^3-36*a^2*b^7*c^7*d^2+9*a*b^8*c^8*d-b^9*c^9)/b^11/(b*x+a)^19-1/10*d^10/b^11/(b*x+a)^10-15*d^6*(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)/b^11/(b*x+a)^14-105/8*d^4*(a^6*d^6-6*a^5*b*c*d^5+15*a^4*b^2*c^2*d^4-20*a^3*b^3*c^3*d^3+15*a^2*b^4*c^4*d^2-6*a*b^5*c^5*d+b^6*c^6)/b^11/(b*x+a)^16","B"
1333,1,867,259,0.008000," ","int((d*x+c)^10/(b*x+a)^22,x)","-\frac{d^{10}}{11 \left(b x +a \right)^{11} b^{11}}+\frac{5 \left(a d -b c \right) d^{9}}{6 \left(b x +a \right)^{12} b^{11}}-\frac{45 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) d^{8}}{13 \left(b x +a \right)^{13} b^{11}}+\frac{60 \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) d^{7}}{7 \left(b x +a \right)^{14} b^{11}}-\frac{14 \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) d^{6}}{\left(b x +a \right)^{15} b^{11}}+\frac{63 \left(a^{5} d^{5}-5 a^{4} b c \,d^{4}+10 a^{3} b^{2} c^{2} d^{3}-10 a^{2} b^{3} c^{3} d^{2}+5 a \,b^{4} c^{4} d -b^{5} c^{5}\right) d^{5}}{4 \left(b x +a \right)^{16} b^{11}}-\frac{210 \left(a^{6} d^{6}-6 a^{5} b c \,d^{5}+15 a^{4} b^{2} c^{2} d^{4}-20 a^{3} b^{3} c^{3} d^{3}+15 a^{2} b^{4} c^{4} d^{2}-6 a \,b^{5} c^{5} d +b^{6} c^{6}\right) d^{4}}{17 \left(b x +a \right)^{17} b^{11}}+\frac{20 \left(a^{7} d^{7}-7 a^{6} b c \,d^{6}+21 a^{5} b^{2} c^{2} d^{5}-35 a^{4} b^{3} c^{3} d^{4}+35 a^{3} b^{4} c^{4} d^{3}-21 a^{2} b^{5} c^{5} d^{2}+7 a \,b^{6} c^{6} d -b^{7} c^{7}\right) d^{3}}{3 \left(b x +a \right)^{18} b^{11}}-\frac{45 \left(a^{8} d^{8}-8 a^{7} b c \,d^{7}+28 a^{6} b^{2} c^{2} d^{6}-56 a^{5} b^{3} c^{3} d^{5}+70 a^{4} b^{4} c^{4} d^{4}-56 a^{3} b^{5} c^{5} d^{3}+28 a^{2} b^{6} c^{6} d^{2}-8 a \,b^{7} c^{7} d +b^{8} c^{8}\right) d^{2}}{19 \left(b x +a \right)^{19} b^{11}}+\frac{\left(a^{9} d^{9}-9 a^{8} b c \,d^{8}+36 a^{7} b^{2} c^{2} d^{7}-84 a^{6} b^{3} c^{3} d^{6}+126 a^{5} b^{4} c^{4} d^{5}-126 a^{4} b^{5} c^{5} d^{4}+84 a^{3} b^{6} c^{6} d^{3}-36 a^{2} b^{7} c^{7} d^{2}+9 a \,b^{8} c^{8} d -b^{9} c^{9}\right) d}{2 \left(b x +a \right)^{20} b^{11}}-\frac{d^{10} a^{10}-10 c \,d^{9} a^{9} b +45 c^{2} d^{8} a^{8} b^{2}-120 a^{7} c^{3} d^{7} b^{3}+210 c^{4} d^{6} a^{6} b^{4}-252 a^{5} c^{5} d^{5} b^{5}+210 a^{4} c^{6} d^{4} b^{6}-120 a^{3} c^{7} d^{3} b^{7}+45 a^{2} c^{8} d^{2} b^{8}-10 a \,b^{9} c^{9} d +c^{10} b^{10}}{21 \left(b x +a \right)^{21} b^{11}}"," ",0,"-45/13*d^8*(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^11/(b*x+a)^13+1/2*d*(a^9*d^9-9*a^8*b*c*d^8+36*a^7*b^2*c^2*d^7-84*a^6*b^3*c^3*d^6+126*a^5*b^4*c^4*d^5-126*a^4*b^5*c^5*d^4+84*a^3*b^6*c^6*d^3-36*a^2*b^7*c^7*d^2+9*a*b^8*c^8*d-b^9*c^9)/b^11/(b*x+a)^20-1/21*(a^10*d^10-10*a^9*b*c*d^9+45*a^8*b^2*c^2*d^8-120*a^7*b^3*c^3*d^7+210*a^6*b^4*c^4*d^6-252*a^5*b^5*c^5*d^5+210*a^4*b^6*c^6*d^4-120*a^3*b^7*c^7*d^3+45*a^2*b^8*c^8*d^2-10*a*b^9*c^9*d+b^10*c^10)/b^11/(b*x+a)^21-210/17*d^4*(a^6*d^6-6*a^5*b*c*d^5+15*a^4*b^2*c^2*d^4-20*a^3*b^3*c^3*d^3+15*a^2*b^4*c^4*d^2-6*a*b^5*c^5*d+b^6*c^6)/b^11/(b*x+a)^17-1/11*d^10/b^11/(b*x+a)^11-14*d^6*(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)/b^11/(b*x+a)^15+5/6*d^9*(a*d-b*c)/b^11/(b*x+a)^12+20/3*d^3*(a^7*d^7-7*a^6*b*c*d^6+21*a^5*b^2*c^2*d^5-35*a^4*b^3*c^3*d^4+35*a^3*b^4*c^4*d^3-21*a^2*b^5*c^5*d^2+7*a*b^6*c^6*d-b^7*c^7)/b^11/(b*x+a)^18-45/19*d^2*(a^8*d^8-8*a^7*b*c*d^7+28*a^6*b^2*c^2*d^6-56*a^5*b^3*c^3*d^5+70*a^4*b^4*c^4*d^4-56*a^3*b^5*c^5*d^3+28*a^2*b^6*c^6*d^2-8*a*b^7*c^7*d+b^8*c^8)/b^11/(b*x+a)^19+60/7*d^7*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/b^11/(b*x+a)^14+63/4*d^5*(a^5*d^5-5*a^4*b*c*d^4+10*a^3*b^2*c^2*d^3-10*a^2*b^3*c^3*d^2+5*a*b^4*c^4*d-b^5*c^5)/b^11/(b*x+a)^16","B"
1334,1,302,114,0.005000," ","int((b*x+a)^5/(d*x+c),x)","\frac{b^{5} x^{5}}{5 d}+\frac{5 a \,b^{4} x^{4}}{4 d}-\frac{b^{5} c \,x^{4}}{4 d^{2}}+\frac{10 a^{2} b^{3} x^{3}}{3 d}-\frac{5 a \,b^{4} c \,x^{3}}{3 d^{2}}+\frac{b^{5} c^{2} x^{3}}{3 d^{3}}+\frac{5 a^{3} b^{2} x^{2}}{d}-\frac{5 a^{2} b^{3} c \,x^{2}}{d^{2}}+\frac{5 a \,b^{4} c^{2} x^{2}}{2 d^{3}}-\frac{b^{5} c^{3} x^{2}}{2 d^{4}}+\frac{a^{5} \ln \left(d x +c \right)}{d}-\frac{5 a^{4} b c \ln \left(d x +c \right)}{d^{2}}+\frac{5 a^{4} b x}{d}+\frac{10 a^{3} b^{2} c^{2} \ln \left(d x +c \right)}{d^{3}}-\frac{10 a^{3} b^{2} c x}{d^{2}}-\frac{10 a^{2} b^{3} c^{3} \ln \left(d x +c \right)}{d^{4}}+\frac{10 a^{2} b^{3} c^{2} x}{d^{3}}+\frac{5 a \,b^{4} c^{4} \ln \left(d x +c \right)}{d^{5}}-\frac{5 a \,b^{4} c^{3} x}{d^{4}}-\frac{b^{5} c^{5} \ln \left(d x +c \right)}{d^{6}}+\frac{b^{5} c^{4} x}{d^{5}}"," ",0,"1/5*b^5/d*x^5+5/4*b^4/d*x^4*a-1/4*b^5/d^2*x^4*c+10/3*b^3/d*x^3*a^2-5/3*b^4/d^2*x^3*a*c+1/3*b^5/d^3*x^3*c^2+5*b^2/d*x^2*a^3-5*b^3/d^2*x^2*a^2*c+5/2*b^4/d^3*x^2*a*c^2-1/2*b^5/d^4*x^2*c^3+5*b/d*a^4*x-10*b^2/d^2*a^3*c*x+10*b^3/d^3*a^2*c^2*x-5*b^4/d^4*a*c^3*x+b^5/d^5*c^4*x+1/d*ln(d*x+c)*a^5-5/d^2*ln(d*x+c)*a^4*b*c+10/d^3*ln(d*x+c)*a^3*b^2*c^2-10/d^4*ln(d*x+c)*a^2*b^3*c^3+5/d^5*ln(d*x+c)*a*b^4*c^4-1/d^6*ln(d*x+c)*b^5*c^5","B"
1335,1,209,92,0.005000," ","int((b*x+a)^4/(d*x+c),x)","\frac{b^{4} x^{4}}{4 d}+\frac{4 a \,b^{3} x^{3}}{3 d}-\frac{b^{4} c \,x^{3}}{3 d^{2}}+\frac{3 a^{2} b^{2} x^{2}}{d}-\frac{2 a \,b^{3} c \,x^{2}}{d^{2}}+\frac{b^{4} c^{2} x^{2}}{2 d^{3}}+\frac{a^{4} \ln \left(d x +c \right)}{d}-\frac{4 a^{3} b c \ln \left(d x +c \right)}{d^{2}}+\frac{4 a^{3} b x}{d}+\frac{6 a^{2} b^{2} c^{2} \ln \left(d x +c \right)}{d^{3}}-\frac{6 a^{2} b^{2} c x}{d^{2}}-\frac{4 a \,b^{3} c^{3} \ln \left(d x +c \right)}{d^{4}}+\frac{4 a \,b^{3} c^{2} x}{d^{3}}+\frac{b^{4} c^{4} \ln \left(d x +c \right)}{d^{5}}-\frac{b^{4} c^{3} x}{d^{4}}"," ",0,"1/4*b^4/d*x^4+4/3*b^3/d*x^3*a-1/3*b^4/d^2*x^3*c+3*b^2/d*x^2*a^2-2*b^3/d^2*x^2*a*c+1/2*b^4/d^3*x^2*c^2+4*b/d*a^3*x-6*b^2/d^2*a^2*c*x+4*b^3/d^3*a*c^2*x-b^4/d^4*c^3*x+1/d*ln(d*x+c)*a^4-4/d^2*ln(d*x+c)*a^3*b*c+6/d^3*ln(d*x+c)*a^2*b^2*c^2-4/d^4*ln(d*x+c)*a*b^3*c^3+1/d^5*ln(d*x+c)*b^4*c^4","B"
1336,1,133,70,0.004000," ","int((b*x+a)^3/(d*x+c),x)","\frac{b^{3} x^{3}}{3 d}+\frac{3 a \,b^{2} x^{2}}{2 d}-\frac{b^{3} c \,x^{2}}{2 d^{2}}+\frac{a^{3} \ln \left(d x +c \right)}{d}-\frac{3 a^{2} b c \ln \left(d x +c \right)}{d^{2}}+\frac{3 a^{2} b x}{d}+\frac{3 a \,b^{2} c^{2} \ln \left(d x +c \right)}{d^{3}}-\frac{3 a \,b^{2} c x}{d^{2}}-\frac{b^{3} c^{3} \ln \left(d x +c \right)}{d^{4}}+\frac{b^{3} c^{2} x}{d^{3}}"," ",0,"1/3*b^3/d*x^3+3/2*b^2/d*x^2*a-1/2*b^3/d^2*x^2*c+3*b/d*a^2*x-3*b^2/d^2*a*c*x+b^3/d^3*c^2*x+1/d*ln(d*x+c)*a^3-3/d^2*ln(d*x+c)*a^2*b*c+3/d^3*ln(d*x+c)*a*b^2*c^2-1/d^4*ln(d*x+c)*b^3*c^3","A"
1337,1,74,48,0.003000," ","int((b*x+a)^2/(d*x+c),x)","\frac{b^{2} x^{2}}{2 d}+\frac{a^{2} \ln \left(d x +c \right)}{d}-\frac{2 a b c \ln \left(d x +c \right)}{d^{2}}+\frac{2 a b x}{d}+\frac{b^{2} c^{2} \ln \left(d x +c \right)}{d^{3}}-\frac{b^{2} c x}{d^{2}}"," ",0,"1/2*b^2/d*x^2+2*b/d*a*x-b^2/d^2*x*c+1/d*ln(d*x+c)*a^2-2/d^2*ln(d*x+c)*a*b*c+1/d^3*ln(d*x+c)*b^2*c^2","A"
1338,1,32,26,0.003000," ","int((b*x+a)/(d*x+c),x)","\frac{a \ln \left(d x +c \right)}{d}-\frac{b c \ln \left(d x +c \right)}{d^{2}}+\frac{b x}{d}"," ",0,"b*x/d+1/d*ln(d*x+c)*a-1/d^2*ln(d*x+c)*b*c","A"
1339,1,11,10,0.001000," ","int(1/(d*x+c),x)","\frac{\ln \left(d x +c \right)}{d}"," ",0,"ln(d*x+c)/d","A"
1340,1,37,36,0.006000," ","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"
1341,1,57,57,0.008000," ","int(1/(b*x+a)^2/(d*x+c),x)","-\frac{d \ln \left(b x +a \right)}{\left(a d -b c \right)^{2}}+\frac{d \ln \left(d x +c \right)}{\left(a d -b c \right)^{2}}+\frac{1}{\left(a d -b c \right) \left(b x +a \right)}"," ",0,"d/(a*d-b*c)^2*ln(d*x+c)+1/(a*d-b*c)/(b*x+a)-d/(a*d-b*c)^2*ln(b*x+a)","A"
1342,1,81,80,0.009000," ","int(1/(b*x+a)^3/(d*x+c),x)","-\frac{d^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{3}}+\frac{d^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{3}}+\frac{d}{\left(a d -b c \right)^{2} \left(b x +a \right)}+\frac{1}{2 \left(a d -b c \right) \left(b x +a \right)^{2}}"," ",0,"d^2/(a*d-b*c)^3*ln(d*x+c)+1/2/(a*d-b*c)/(b*x+a)^2+d/(a*d-b*c)^2/(b*x+a)-d^2/(a*d-b*c)^3*ln(b*x+a)","A"
1343,1,326,126,0.010000," ","int((b*x+a)^5/(d*x+c)^2,x)","\frac{b^{5} x^{4}}{4 d^{2}}+\frac{5 a \,b^{4} x^{3}}{3 d^{2}}-\frac{2 b^{5} c \,x^{3}}{3 d^{3}}+\frac{5 a^{2} b^{3} x^{2}}{d^{2}}-\frac{5 a \,b^{4} c \,x^{2}}{d^{3}}+\frac{3 b^{5} c^{2} x^{2}}{2 d^{4}}-\frac{a^{5}}{\left(d x +c \right) d}+\frac{5 a^{4} b c}{\left(d x +c \right) d^{2}}+\frac{5 a^{4} b \ln \left(d x +c \right)}{d^{2}}-\frac{10 a^{3} b^{2} c^{2}}{\left(d x +c \right) d^{3}}-\frac{20 a^{3} b^{2} c \ln \left(d x +c \right)}{d^{3}}+\frac{10 a^{3} b^{2} x}{d^{2}}+\frac{10 a^{2} b^{3} c^{3}}{\left(d x +c \right) d^{4}}+\frac{30 a^{2} b^{3} c^{2} \ln \left(d x +c \right)}{d^{4}}-\frac{20 a^{2} b^{3} c x}{d^{3}}-\frac{5 a \,b^{4} c^{4}}{\left(d x +c \right) d^{5}}-\frac{20 a \,b^{4} c^{3} \ln \left(d x +c \right)}{d^{5}}+\frac{15 a \,b^{4} c^{2} x}{d^{4}}+\frac{b^{5} c^{5}}{\left(d x +c \right) d^{6}}+\frac{5 b^{5} c^{4} \ln \left(d x +c \right)}{d^{6}}-\frac{4 b^{5} c^{3} x}{d^{5}}"," ",0,"1/4*b^5/d^2*x^4+5/3*b^4/d^2*x^3*a-2/3*b^5/d^3*x^3*c+5*b^3/d^2*x^2*a^2-5*b^4/d^3*x^2*a*c+3/2*b^5/d^4*x^2*c^2+10*b^2/d^2*a^3*x-20*b^3/d^3*a^2*c*x+15*b^4/d^4*a*c^2*x-4*b^5/d^5*c^3*x-1/d/(d*x+c)*a^5+5/d^2/(d*x+c)*a^4*b*c-10/d^3/(d*x+c)*a^3*b^2*c^2+10/d^4/(d*x+c)*a^2*b^3*c^3-5/d^5/(d*x+c)*a*b^4*c^4+1/d^6/(d*x+c)*b^5*c^5+5*b/d^2*ln(d*x+c)*a^4-20*b^2/d^3*ln(d*x+c)*a^3*c+30*b^3/d^4*ln(d*x+c)*a^2*c^2-20*b^4/d^5*ln(d*x+c)*a*c^3+5*b^5/d^6*ln(d*x+c)*c^4","B"
1344,1,230,102,0.009000," ","int((b*x+a)^4/(d*x+c)^2,x)","\frac{b^{4} x^{3}}{3 d^{2}}+\frac{2 a \,b^{3} x^{2}}{d^{2}}-\frac{b^{4} c \,x^{2}}{d^{3}}-\frac{a^{4}}{\left(d x +c \right) d}+\frac{4 a^{3} b c}{\left(d x +c \right) d^{2}}+\frac{4 a^{3} b \ln \left(d x +c \right)}{d^{2}}-\frac{6 a^{2} b^{2} c^{2}}{\left(d x +c \right) d^{3}}-\frac{12 a^{2} b^{2} c \ln \left(d x +c \right)}{d^{3}}+\frac{6 a^{2} b^{2} x}{d^{2}}+\frac{4 a \,b^{3} c^{3}}{\left(d x +c \right) d^{4}}+\frac{12 a \,b^{3} c^{2} \ln \left(d x +c \right)}{d^{4}}-\frac{8 a \,b^{3} c x}{d^{3}}-\frac{b^{4} c^{4}}{\left(d x +c \right) d^{5}}-\frac{4 b^{4} c^{3} \ln \left(d x +c \right)}{d^{5}}+\frac{3 b^{4} c^{2} x}{d^{4}}"," ",0,"1/3*b^4/d^2*x^3+2*b^3/d^2*x^2*a-b^4/d^3*x^2*c+6*b^2/d^2*a^2*x-8*b^3/d^3*a*c*x+3*b^4/d^4*c^2*x-1/d/(d*x+c)*a^4+4/d^2/(d*x+c)*a^3*b*c-6/d^3/(d*x+c)*a^2*b^2*c^2+4/d^4/(d*x+c)*a*b^3*c^3-1/d^5/(d*x+c)*b^4*c^4+4*b/d^2*ln(d*x+c)*a^3-12*b^2/d^3*ln(d*x+c)*a^2*c+12*b^3/d^4*ln(d*x+c)*a*c^2-4*b^4/d^5*ln(d*x+c)*c^3","B"
1345,1,149,73,0.009000," ","int((b*x+a)^3/(d*x+c)^2,x)","\frac{b^{3} x^{2}}{2 d^{2}}-\frac{a^{3}}{\left(d x +c \right) d}+\frac{3 a^{2} b c}{\left(d x +c \right) d^{2}}+\frac{3 a^{2} b \ln \left(d x +c \right)}{d^{2}}-\frac{3 a \,b^{2} c^{2}}{\left(d x +c \right) d^{3}}-\frac{6 a \,b^{2} c \ln \left(d x +c \right)}{d^{3}}+\frac{3 a \,b^{2} x}{d^{2}}+\frac{b^{3} c^{3}}{\left(d x +c \right) d^{4}}+\frac{3 b^{3} c^{2} \ln \left(d x +c \right)}{d^{4}}-\frac{2 b^{3} c x}{d^{3}}"," ",0,"1/2*b^3*x^2/d^2+3*b^2/d^2*a*x-2*b^3/d^3*x*c-1/d/(d*x+c)*a^3+3/d^2/(d*x+c)*a^2*b*c-3/d^3/(d*x+c)*a*b^2*c^2+1/d^4/(d*x+c)*b^3*c^3+3*b/d^2*ln(d*x+c)*a^2-6*b^2/d^3*ln(d*x+c)*a*c+3*b^3/d^4*ln(d*x+c)*c^2","B"
1346,1,86,51,0.007000," ","int((b*x+a)^2/(d*x+c)^2,x)","-\frac{a^{2}}{\left(d x +c \right) d}+\frac{2 a b c}{\left(d x +c \right) d^{2}}+\frac{2 a b \ln \left(d x +c \right)}{d^{2}}-\frac{b^{2} c^{2}}{\left(d x +c \right) d^{3}}-\frac{2 b^{2} c \ln \left(d x +c \right)}{d^{3}}+\frac{b^{2} x}{d^{2}}"," ",0,"b^2*x/d^2-1/d/(d*x+c)*a^2+2/d^2/(d*x+c)*a*b*c-1/d^3/(d*x+c)*b^2*c^2+2*b/d^2*ln(d*x+c)*a-2*b^2/d^3*ln(d*x+c)*c","A"
1347,1,39,31,0.006000," ","int((b*x+a)/(d*x+c)^2,x)","-\frac{a}{\left(d x +c \right) d}+\frac{b c}{\left(d x +c \right) d^{2}}+\frac{b \ln \left(d x +c \right)}{d^{2}}"," ",0,"-1/d/(d*x+c)*a+1/d^2/(d*x+c)*b*c+b*ln(d*x+c)/d^2","A"
1348,1,13,12,0.001000," ","int(1/(d*x+c)^2,x)","-\frac{1}{\left(d x +c \right) d}"," ",0,"-1/d/(d*x+c)","A"
1349,1,58,56,0.008000," ","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"
1350,1,82,81,0.008000," ","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"
1351,1,109,107,0.013000," ","int(1/(b*x+a)^3/(d*x+c)^2,x)","\frac{3 b \,d^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{4}}-\frac{3 b \,d^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{4}}-\frac{2 b d}{\left(a d -b c \right)^{3} \left(b x +a \right)}-\frac{d^{2}}{\left(a d -b c \right)^{3} \left(d x +c \right)}-\frac{b}{2 \left(a d -b c \right)^{2} \left(b x +a \right)^{2}}"," ",0,"-d^2/(a*d-b*c)^3/(d*x+c)-3*d^2/(a*d-b*c)^4*b*ln(d*x+c)-1/2*b/(a*d-b*c)^2/(b*x+a)^2+3*d^2/(a*d-b*c)^4*b*ln(b*x+a)-2*b/(a*d-b*c)^3*d/(b*x+a)","A"
1352,1,464,152,0.011000," ","int((b*x+a)^6/(d*x+c)^3,x)","\frac{b^{6} x^{4}}{4 d^{3}}+\frac{2 a \,b^{5} x^{3}}{d^{3}}-\frac{b^{6} c \,x^{3}}{d^{4}}-\frac{a^{6}}{2 \left(d x +c \right)^{2} d}+\frac{3 a^{5} b c}{\left(d x +c \right)^{2} d^{2}}-\frac{15 a^{4} b^{2} c^{2}}{2 \left(d x +c \right)^{2} d^{3}}+\frac{10 a^{3} b^{3} c^{3}}{\left(d x +c \right)^{2} d^{4}}-\frac{15 a^{2} b^{4} c^{4}}{2 \left(d x +c \right)^{2} d^{5}}+\frac{15 a^{2} b^{4} x^{2}}{2 d^{3}}+\frac{3 a \,b^{5} c^{5}}{\left(d x +c \right)^{2} d^{6}}-\frac{9 a \,b^{5} c \,x^{2}}{d^{4}}-\frac{b^{6} c^{6}}{2 \left(d x +c \right)^{2} d^{7}}+\frac{3 b^{6} c^{2} x^{2}}{d^{5}}-\frac{6 a^{5} b}{\left(d x +c \right) d^{2}}+\frac{30 a^{4} b^{2} c}{\left(d x +c \right) d^{3}}+\frac{15 a^{4} b^{2} \ln \left(d x +c \right)}{d^{3}}-\frac{60 a^{3} b^{3} c^{2}}{\left(d x +c \right) d^{4}}-\frac{60 a^{3} b^{3} c \ln \left(d x +c \right)}{d^{4}}+\frac{20 a^{3} b^{3} x}{d^{3}}+\frac{60 a^{2} b^{4} c^{3}}{\left(d x +c \right) d^{5}}+\frac{90 a^{2} b^{4} c^{2} \ln \left(d x +c \right)}{d^{5}}-\frac{45 a^{2} b^{4} c x}{d^{4}}-\frac{30 a \,b^{5} c^{4}}{\left(d x +c \right) d^{6}}-\frac{60 a \,b^{5} c^{3} \ln \left(d x +c \right)}{d^{6}}+\frac{36 a \,b^{5} c^{2} x}{d^{5}}+\frac{6 b^{6} c^{5}}{\left(d x +c \right) d^{7}}+\frac{15 b^{6} c^{4} \ln \left(d x +c \right)}{d^{7}}-\frac{10 b^{6} c^{3} x}{d^{6}}"," ",0,"-1/2/d^7/(d*x+c)^2*b^6*c^6-6*b/d^2/(d*x+c)*a^5+6*b^6/d^7/(d*x+c)*c^5+15*b^2/d^3*ln(d*x+c)*a^4+15*b^6/d^7*ln(d*x+c)*c^4+20*b^3/d^3*a^3*x-10*b^6/d^6*c^3*x+3*b^6/d^5*x^2*c^2+15/2*b^4/d^3*x^2*a^2-b^6/d^4*x^3*c+2*b^5/d^3*x^3*a+3/d^2/(d*x+c)^2*a^5*b*c-15/2/d^3/(d*x+c)^2*a^4*b^2*c^2+10/d^4/(d*x+c)^2*a^3*b^3*c^3-15/2/d^5/(d*x+c)^2*a^2*b^4*c^4+3/d^6/(d*x+c)^2*a*b^5*c^5+36*b^5/d^5*a*c^2*x+30*b^2/d^3/(d*x+c)*a^4*c-60*b^3/d^4/(d*x+c)*a^3*c^2+60*b^4/d^5/(d*x+c)*a^2*c^3-30*b^5/d^6/(d*x+c)*a*c^4-9*b^5/d^4*x^2*a*c-45*b^4/d^4*a^2*c*x+1/4*b^6/d^3*x^4-1/2/d/(d*x+c)^2*a^6-60*b^5/d^6*ln(d*x+c)*a*c^3-60*b^3/d^4*ln(d*x+c)*a^3*c+90*b^4/d^5*ln(d*x+c)*a^2*c^2","B"
1353,1,346,127,0.009000," ","int((b*x+a)^5/(d*x+c)^3,x)","\frac{b^{5} x^{3}}{3 d^{3}}-\frac{a^{5}}{2 \left(d x +c \right)^{2} d}+\frac{5 a^{4} b c}{2 \left(d x +c \right)^{2} d^{2}}-\frac{5 a^{3} b^{2} c^{2}}{\left(d x +c \right)^{2} d^{3}}+\frac{5 a^{2} b^{3} c^{3}}{\left(d x +c \right)^{2} d^{4}}-\frac{5 a \,b^{4} c^{4}}{2 \left(d x +c \right)^{2} d^{5}}+\frac{5 a \,b^{4} x^{2}}{2 d^{3}}+\frac{b^{5} c^{5}}{2 \left(d x +c \right)^{2} d^{6}}-\frac{3 b^{5} c \,x^{2}}{2 d^{4}}-\frac{5 a^{4} b}{\left(d x +c \right) d^{2}}+\frac{20 a^{3} b^{2} c}{\left(d x +c \right) d^{3}}+\frac{10 a^{3} b^{2} \ln \left(d x +c \right)}{d^{3}}-\frac{30 a^{2} b^{3} c^{2}}{\left(d x +c \right) d^{4}}-\frac{30 a^{2} b^{3} c \ln \left(d x +c \right)}{d^{4}}+\frac{10 a^{2} b^{3} x}{d^{3}}+\frac{20 a \,b^{4} c^{3}}{\left(d x +c \right) d^{5}}+\frac{30 a \,b^{4} c^{2} \ln \left(d x +c \right)}{d^{5}}-\frac{15 a \,b^{4} c x}{d^{4}}-\frac{5 b^{5} c^{4}}{\left(d x +c \right) d^{6}}-\frac{10 b^{5} c^{3} \ln \left(d x +c \right)}{d^{6}}+\frac{6 b^{5} c^{2} x}{d^{5}}"," ",0,"1/3*b^5/d^3*x^3+5/2*b^4/d^3*x^2*a-3/2*b^5/d^4*x^2*c+10*b^3/d^3*a^2*x-15*b^4/d^4*a*c*x+6*b^5/d^5*c^2*x-5*b/d^2/(d*x+c)*a^4+20*b^2/d^3/(d*x+c)*a^3*c-30*b^3/d^4/(d*x+c)*a^2*c^2+20*b^4/d^5/(d*x+c)*a*c^3-5*b^5/d^6/(d*x+c)*c^4+10*b^2/d^3*ln(d*x+c)*a^3-30*b^3/d^4*ln(d*x+c)*a^2*c+30*b^4/d^5*ln(d*x+c)*a*c^2-10*b^5/d^6*ln(d*x+c)*c^3-1/2/d/(d*x+c)^2*a^5+5/2/d^2/(d*x+c)^2*a^4*b*c-5/d^3/(d*x+c)^2*a^3*b^2*c^2+5/d^4/(d*x+c)^2*a^2*b^3*c^3-5/2/d^5/(d*x+c)^2*a*b^4*c^4+1/2/d^6/(d*x+c)^2*b^5*c^5","B"
1354,1,245,99,0.008000," ","int((b*x+a)^4/(d*x+c)^3,x)","-\frac{a^{4}}{2 \left(d x +c \right)^{2} d}+\frac{2 a^{3} b c}{\left(d x +c \right)^{2} d^{2}}-\frac{3 a^{2} b^{2} c^{2}}{\left(d x +c \right)^{2} d^{3}}+\frac{2 a \,b^{3} c^{3}}{\left(d x +c \right)^{2} d^{4}}-\frac{b^{4} c^{4}}{2 \left(d x +c \right)^{2} d^{5}}+\frac{b^{4} x^{2}}{2 d^{3}}-\frac{4 a^{3} b}{\left(d x +c \right) d^{2}}+\frac{12 a^{2} b^{2} c}{\left(d x +c \right) d^{3}}+\frac{6 a^{2} b^{2} \ln \left(d x +c \right)}{d^{3}}-\frac{12 a \,b^{3} c^{2}}{\left(d x +c \right) d^{4}}-\frac{12 a \,b^{3} c \ln \left(d x +c \right)}{d^{4}}+\frac{4 a \,b^{3} x}{d^{3}}+\frac{4 b^{4} c^{3}}{\left(d x +c \right) d^{5}}+\frac{6 b^{4} c^{2} \ln \left(d x +c \right)}{d^{5}}-\frac{3 b^{4} c x}{d^{4}}"," ",0,"1/2*b^4*x^2/d^3+4*a*b^3*x/d^3-3*b^4*c*x/d^4-4*b/d^2/(d*x+c)*a^3+12*b^2/d^3/(d*x+c)*a^2*c-12*b^3/d^4/(d*x+c)*a*c^2+4*b^4/d^5/(d*x+c)*c^3+6*b^2/d^3*ln(d*x+c)*a^2-12*b^3/d^4*ln(d*x+c)*a*c+6*b^4/d^5*ln(d*x+c)*c^2-1/2/d/(d*x+c)^2*a^4+2/d^2/(d*x+c)^2*a^3*b*c-3/d^3/(d*x+c)^2*a^2*b^2*c^2+2/d^4/(d*x+c)^2*a*b^3*c^3-1/2/d^5/(d*x+c)^2*b^4*c^4","B"
1355,1,160,76,0.009000," ","int((b*x+a)^3/(d*x+c)^3,x)","-\frac{a^{3}}{2 \left(d x +c \right)^{2} d}+\frac{3 a^{2} b c}{2 \left(d x +c \right)^{2} d^{2}}-\frac{3 a \,b^{2} c^{2}}{2 \left(d x +c \right)^{2} d^{3}}+\frac{b^{3} c^{3}}{2 \left(d x +c \right)^{2} d^{4}}-\frac{3 a^{2} b}{\left(d x +c \right) d^{2}}+\frac{6 a \,b^{2} c}{\left(d x +c \right) d^{3}}+\frac{3 a \,b^{2} \ln \left(d x +c \right)}{d^{3}}-\frac{3 b^{3} c^{2}}{\left(d x +c \right) d^{4}}-\frac{3 b^{3} c \ln \left(d x +c \right)}{d^{4}}+\frac{b^{3} x}{d^{3}}"," ",0,"b^3/d^3*x-3*b/d^2/(d*x+c)*a^2+6*b^2/d^3/(d*x+c)*a*c-3*b^3/d^4/(d*x+c)*c^2+3*b^2/d^3*ln(d*x+c)*a-3*b^3/d^4*ln(d*x+c)*c-1/2/d/(d*x+c)^2*a^3+3/2/d^2/(d*x+c)^2*a^2*b*c-3/2/d^3/(d*x+c)^2*a*b^2*c^2+1/2/d^4/(d*x+c)^2*b^3*c^3","B"
1356,1,92,57,0.006000," ","int((b*x+a)^2/(d*x+c)^3,x)","-\frac{a^{2}}{2 \left(d x +c \right)^{2} d}+\frac{a b c}{\left(d x +c \right)^{2} d^{2}}-\frac{b^{2} c^{2}}{2 \left(d x +c \right)^{2} d^{3}}-\frac{2 a b}{\left(d x +c \right) d^{2}}+\frac{2 b^{2} c}{\left(d x +c \right) d^{3}}+\frac{b^{2} \ln \left(d x +c \right)}{d^{3}}"," ",0,"-2*b/d^2/(d*x+c)*a+2*b^2/d^3/(d*x+c)*c+b^2/d^3*ln(d*x+c)-1/2/d/(d*x+c)^2*a^2+1/d^2/(d*x+c)^2*a*b*c-1/2/d^3/(d*x+c)^2*b^2*c^2","A"
1357,1,35,26,0.004000," ","int((b*x+a)/(d*x+c)^3,x)","-\frac{b}{\left(d x +c \right) d^{2}}-\frac{a d -b c}{2 \left(d x +c \right)^{2} d^{2}}"," ",0,"-1/(d*x+c)*b/d^2-1/2*(a*d-b*c)/d^2/(d*x+c)^2","A"
1358,1,13,12,0.000000," ","int(1/(d*x+c)^3,x)","-\frac{1}{2 \left(d x +c \right)^{2} d}"," ",0,"-1/2/d/(d*x+c)^2","A"
1359,1,81,80,0.010000," ","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"
1360,1,108,108,0.013000," ","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"
1361,1,140,139,0.012000," ","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"
1362,1,1035,224,0.017000," ","int((b*x+a)^9/(d*x+c)^8,x)","-\frac{a^{9}}{7 \left(d x +c \right)^{7} d}+\frac{9 a^{8} b c}{7 \left(d x +c \right)^{7} d^{2}}-\frac{36 a^{7} b^{2} c^{2}}{7 \left(d x +c \right)^{7} d^{3}}+\frac{12 a^{6} b^{3} c^{3}}{\left(d x +c \right)^{7} d^{4}}-\frac{18 a^{5} b^{4} c^{4}}{\left(d x +c \right)^{7} d^{5}}+\frac{18 a^{4} b^{5} c^{5}}{\left(d x +c \right)^{7} d^{6}}-\frac{12 a^{3} b^{6} c^{6}}{\left(d x +c \right)^{7} d^{7}}+\frac{36 a^{2} b^{7} c^{7}}{7 \left(d x +c \right)^{7} d^{8}}-\frac{9 a \,b^{8} c^{8}}{7 \left(d x +c \right)^{7} d^{9}}+\frac{b^{9} c^{9}}{7 \left(d x +c \right)^{7} d^{10}}-\frac{3 a^{8} b}{2 \left(d x +c \right)^{6} d^{2}}+\frac{12 a^{7} b^{2} c}{\left(d x +c \right)^{6} d^{3}}-\frac{42 a^{6} b^{3} c^{2}}{\left(d x +c \right)^{6} d^{4}}+\frac{84 a^{5} b^{4} c^{3}}{\left(d x +c \right)^{6} d^{5}}-\frac{105 a^{4} b^{5} c^{4}}{\left(d x +c \right)^{6} d^{6}}+\frac{84 a^{3} b^{6} c^{5}}{\left(d x +c \right)^{6} d^{7}}-\frac{42 a^{2} b^{7} c^{6}}{\left(d x +c \right)^{6} d^{8}}+\frac{12 a \,b^{8} c^{7}}{\left(d x +c \right)^{6} d^{9}}-\frac{3 b^{9} c^{8}}{2 \left(d x +c \right)^{6} d^{10}}-\frac{36 a^{7} b^{2}}{5 \left(d x +c \right)^{5} d^{3}}+\frac{252 a^{6} b^{3} c}{5 \left(d x +c \right)^{5} d^{4}}-\frac{756 a^{5} b^{4} c^{2}}{5 \left(d x +c \right)^{5} d^{5}}+\frac{252 a^{4} b^{5} c^{3}}{\left(d x +c \right)^{5} d^{6}}-\frac{252 a^{3} b^{6} c^{4}}{\left(d x +c \right)^{5} d^{7}}+\frac{756 a^{2} b^{7} c^{5}}{5 \left(d x +c \right)^{5} d^{8}}-\frac{252 a \,b^{8} c^{6}}{5 \left(d x +c \right)^{5} d^{9}}+\frac{36 b^{9} c^{7}}{5 \left(d x +c \right)^{5} d^{10}}-\frac{21 a^{6} b^{3}}{\left(d x +c \right)^{4} d^{4}}+\frac{126 a^{5} b^{4} c}{\left(d x +c \right)^{4} d^{5}}-\frac{315 a^{4} b^{5} c^{2}}{\left(d x +c \right)^{4} d^{6}}+\frac{420 a^{3} b^{6} c^{3}}{\left(d x +c \right)^{4} d^{7}}-\frac{315 a^{2} b^{7} c^{4}}{\left(d x +c \right)^{4} d^{8}}+\frac{126 a \,b^{8} c^{5}}{\left(d x +c \right)^{4} d^{9}}-\frac{21 b^{9} c^{6}}{\left(d x +c \right)^{4} d^{10}}-\frac{42 a^{5} b^{4}}{\left(d x +c \right)^{3} d^{5}}+\frac{210 a^{4} b^{5} c}{\left(d x +c \right)^{3} d^{6}}-\frac{420 a^{3} b^{6} c^{2}}{\left(d x +c \right)^{3} d^{7}}+\frac{420 a^{2} b^{7} c^{3}}{\left(d x +c \right)^{3} d^{8}}-\frac{210 a \,b^{8} c^{4}}{\left(d x +c \right)^{3} d^{9}}+\frac{42 b^{9} c^{5}}{\left(d x +c \right)^{3} d^{10}}-\frac{63 a^{4} b^{5}}{\left(d x +c \right)^{2} d^{6}}+\frac{252 a^{3} b^{6} c}{\left(d x +c \right)^{2} d^{7}}-\frac{378 a^{2} b^{7} c^{2}}{\left(d x +c \right)^{2} d^{8}}+\frac{252 a \,b^{8} c^{3}}{\left(d x +c \right)^{2} d^{9}}-\frac{63 b^{9} c^{4}}{\left(d x +c \right)^{2} d^{10}}+\frac{b^{9} x^{2}}{2 d^{8}}-\frac{84 a^{3} b^{6}}{\left(d x +c \right) d^{7}}+\frac{252 a^{2} b^{7} c}{\left(d x +c \right) d^{8}}+\frac{36 a^{2} b^{7} \ln \left(d x +c \right)}{d^{8}}-\frac{252 a \,b^{8} c^{2}}{\left(d x +c \right) d^{9}}-\frac{72 a \,b^{8} c \ln \left(d x +c \right)}{d^{9}}+\frac{9 a \,b^{8} x}{d^{8}}+\frac{84 b^{9} c^{3}}{\left(d x +c \right) d^{10}}+\frac{36 b^{9} c^{2} \ln \left(d x +c \right)}{d^{10}}-\frac{8 b^{9} c x}{d^{9}}"," ",0,"1/2*b^9*x^2/d^8-21*b^9/d^10/(d*x+c)^4*c^6+36/5*b^9/d^10/(d*x+c)^5*c^7+1/7/d^10/(d*x+c)^7*b^9*c^9-36/5*b^2/d^3/(d*x+c)^5*a^7+9*b^8/d^8*a*x-8*b^9/d^9*x*c-84*b^6/d^7/(d*x+c)*a^3+84*b^9/d^10/(d*x+c)*c^3+36*b^7/d^8*ln(d*x+c)*a^2+36*b^9/d^10*ln(d*x+c)*c^2-3/2*b/d^2/(d*x+c)^6*a^8-3/2*b^9/d^10/(d*x+c)^6*c^8-42*b^4/d^5/(d*x+c)^3*a^5+42*b^9/d^10/(d*x+c)^3*c^5-63*b^5/d^6/(d*x+c)^2*a^4-63*b^9/d^10/(d*x+c)^2*c^4-21*b^3/d^4/(d*x+c)^4*a^6-1/7/d/(d*x+c)^7*a^9+252*b^6/d^7/(d*x+c)^2*a^3*c-378*b^7/d^8/(d*x+c)^2*a^2*c^2+252*b^8/d^9/(d*x+c)^2*a*c^3-36/7/d^3/(d*x+c)^7*a^7*b^2*c^2+126*b^4/d^5/(d*x+c)^4*a^5*c-315*b^5/d^6/(d*x+c)^4*a^4*c^2+420*b^6/d^7/(d*x+c)^4*a^3*c^3-315*b^7/d^8/(d*x+c)^4*a^2*c^4+126*b^8/d^9/(d*x+c)^4*a*c^5+9/7/d^2/(d*x+c)^7*a^8*b*c+252/5*b^3/d^4/(d*x+c)^5*a^6*c-756/5*b^4/d^5/(d*x+c)^5*a^5*c^2+252*b^5/d^6/(d*x+c)^5*a^4*c^3-252*b^6/d^7/(d*x+c)^5*a^3*c^4+756/5*b^7/d^8/(d*x+c)^5*a^2*c^5-252/5*b^8/d^9/(d*x+c)^5*a*c^6+252*b^7/d^8/(d*x+c)*a^2*c-252*b^8/d^9/(d*x+c)*a*c^2-72*b^8/d^9*ln(d*x+c)*a*c+12*b^2/d^3/(d*x+c)^6*a^7*c-42*b^3/d^4/(d*x+c)^6*a^6*c^2+84*b^4/d^5/(d*x+c)^6*a^5*c^3-105*b^5/d^6/(d*x+c)^6*a^4*c^4+84*b^6/d^7/(d*x+c)^6*a^3*c^5+12/d^4/(d*x+c)^7*a^6*b^3*c^3+18/d^6/(d*x+c)^7*a^4*b^5*c^5-12/d^7/(d*x+c)^7*a^3*b^6*c^6+36/7/d^8/(d*x+c)^7*a^2*b^7*c^7-9/7/d^9/(d*x+c)^7*a*b^8*c^8-42*b^7/d^8/(d*x+c)^6*a^2*c^6+12*b^8/d^9/(d*x+c)^6*a*c^7+210*b^5/d^6/(d*x+c)^3*a^4*c-420*b^6/d^7/(d*x+c)^3*a^3*c^2+420*b^7/d^8/(d*x+c)^3*a^2*c^3-210*b^8/d^9/(d*x+c)^3*a*c^4-18/d^5/(d*x+c)^7*a^5*b^4*c^4","B"
1363,1,845,201,0.013000," ","int((b*x+a)^8/(d*x+c)^8,x)","-\frac{a^{8}}{7 \left(d x +c \right)^{7} d}+\frac{8 a^{7} b c}{7 \left(d x +c \right)^{7} d^{2}}-\frac{4 a^{6} b^{2} c^{2}}{\left(d x +c \right)^{7} d^{3}}+\frac{8 a^{5} b^{3} c^{3}}{\left(d x +c \right)^{7} d^{4}}-\frac{10 a^{4} b^{4} c^{4}}{\left(d x +c \right)^{7} d^{5}}+\frac{8 a^{3} b^{5} c^{5}}{\left(d x +c \right)^{7} d^{6}}-\frac{4 a^{2} b^{6} c^{6}}{\left(d x +c \right)^{7} d^{7}}+\frac{8 a \,b^{7} c^{7}}{7 \left(d x +c \right)^{7} d^{8}}-\frac{b^{8} c^{8}}{7 \left(d x +c \right)^{7} d^{9}}-\frac{4 a^{7} b}{3 \left(d x +c \right)^{6} d^{2}}+\frac{28 a^{6} b^{2} c}{3 \left(d x +c \right)^{6} d^{3}}-\frac{28 a^{5} b^{3} c^{2}}{\left(d x +c \right)^{6} d^{4}}+\frac{140 a^{4} b^{4} c^{3}}{3 \left(d x +c \right)^{6} d^{5}}-\frac{140 a^{3} b^{5} c^{4}}{3 \left(d x +c \right)^{6} d^{6}}+\frac{28 a^{2} b^{6} c^{5}}{\left(d x +c \right)^{6} d^{7}}-\frac{28 a \,b^{7} c^{6}}{3 \left(d x +c \right)^{6} d^{8}}+\frac{4 b^{8} c^{7}}{3 \left(d x +c \right)^{6} d^{9}}-\frac{28 a^{6} b^{2}}{5 \left(d x +c \right)^{5} d^{3}}+\frac{168 a^{5} b^{3} c}{5 \left(d x +c \right)^{5} d^{4}}-\frac{84 a^{4} b^{4} c^{2}}{\left(d x +c \right)^{5} d^{5}}+\frac{112 a^{3} b^{5} c^{3}}{\left(d x +c \right)^{5} d^{6}}-\frac{84 a^{2} b^{6} c^{4}}{\left(d x +c \right)^{5} d^{7}}+\frac{168 a \,b^{7} c^{5}}{5 \left(d x +c \right)^{5} d^{8}}-\frac{28 b^{8} c^{6}}{5 \left(d x +c \right)^{5} d^{9}}-\frac{14 a^{5} b^{3}}{\left(d x +c \right)^{4} d^{4}}+\frac{70 a^{4} b^{4} c}{\left(d x +c \right)^{4} d^{5}}-\frac{140 a^{3} b^{5} c^{2}}{\left(d x +c \right)^{4} d^{6}}+\frac{140 a^{2} b^{6} c^{3}}{\left(d x +c \right)^{4} d^{7}}-\frac{70 a \,b^{7} c^{4}}{\left(d x +c \right)^{4} d^{8}}+\frac{14 b^{8} c^{5}}{\left(d x +c \right)^{4} d^{9}}-\frac{70 a^{4} b^{4}}{3 \left(d x +c \right)^{3} d^{5}}+\frac{280 a^{3} b^{5} c}{3 \left(d x +c \right)^{3} d^{6}}-\frac{140 a^{2} b^{6} c^{2}}{\left(d x +c \right)^{3} d^{7}}+\frac{280 a \,b^{7} c^{3}}{3 \left(d x +c \right)^{3} d^{8}}-\frac{70 b^{8} c^{4}}{3 \left(d x +c \right)^{3} d^{9}}-\frac{28 a^{3} b^{5}}{\left(d x +c \right)^{2} d^{6}}+\frac{84 a^{2} b^{6} c}{\left(d x +c \right)^{2} d^{7}}-\frac{84 a \,b^{7} c^{2}}{\left(d x +c \right)^{2} d^{8}}+\frac{28 b^{8} c^{3}}{\left(d x +c \right)^{2} d^{9}}-\frac{28 a^{2} b^{6}}{\left(d x +c \right) d^{7}}+\frac{56 a \,b^{7} c}{\left(d x +c \right) d^{8}}+\frac{8 a \,b^{7} \ln \left(d x +c \right)}{d^{8}}-\frac{28 b^{8} c^{2}}{\left(d x +c \right) d^{9}}-\frac{8 b^{8} c \ln \left(d x +c \right)}{d^{9}}+\frac{b^{8} x}{d^{8}}"," ",0,"-14*b^3/d^4/(d*x+c)^4*a^5+14*b^8/d^9/(d*x+c)^4*c^5-28*b^6/d^7/(d*x+c)*a^2-28*b^8/d^9/(d*x+c)*c^2+8*b^7/d^8*ln(d*x+c)*a-8*b^8/d^9*ln(d*x+c)*c-28/5*b^2/d^3/(d*x+c)^5*a^6-28/5*b^8/d^9/(d*x+c)^5*c^6-28*b^5/d^6/(d*x+c)^2*a^3+28*b^8/d^9/(d*x+c)^2*c^3-1/7/d^9/(d*x+c)^7*b^8*c^8-4/3*b/d^2/(d*x+c)^6*a^7+4/3*b^8/d^9/(d*x+c)^6*c^7-70/3*b^4/d^5/(d*x+c)^3*a^4-70/3*b^8/d^9/(d*x+c)^3*c^4+b^8*x/d^8+8/7/d^2/(d*x+c)^7*a^7*b*c-4/d^3/(d*x+c)^7*a^6*b^2*c^2-1/7/d/(d*x+c)^7*a^8+8/d^4/(d*x+c)^7*a^5*b^3*c^3-10/d^5/(d*x+c)^7*a^4*b^4*c^4+8/d^6/(d*x+c)^7*a^3*b^5*c^5-4/d^7/(d*x+c)^7*a^2*b^6*c^6+8/7/d^8/(d*x+c)^7*a*b^7*c^7+140/3*b^4/d^5/(d*x+c)^6*a^4*c^3-140/3*b^5/d^6/(d*x+c)^6*a^3*c^4+28*b^6/d^7/(d*x+c)^6*a^2*c^5-28/3*b^7/d^8/(d*x+c)^6*a*c^6+280/3*b^5/d^6/(d*x+c)^3*a^3*c-140*b^6/d^7/(d*x+c)^3*a^2*c^2+280/3*b^7/d^8/(d*x+c)^3*a*c^3+70*b^4/d^5/(d*x+c)^4*a^4*c-140*b^5/d^6/(d*x+c)^4*a^3*c^2+140*b^6/d^7/(d*x+c)^4*a^2*c^3-70*b^7/d^8/(d*x+c)^4*a*c^4+56*b^7/d^8/(d*x+c)*a*c+168/5*b^3/d^4/(d*x+c)^5*a^5*c-84*b^4/d^5/(d*x+c)^5*a^4*c^2+112*b^5/d^6/(d*x+c)^5*a^3*c^3-84*b^6/d^7/(d*x+c)^5*a^2*c^4+168/5*b^7/d^8/(d*x+c)^5*a*c^5+84*b^6/d^7/(d*x+c)^2*a^2*c-84*b^7/d^8/(d*x+c)^2*a*c^2+28/3*b^2/d^3/(d*x+c)^6*a^6*c-28*b^3/d^4/(d*x+c)^6*a^5*c^2","B"
1364,1,672,182,0.009000," ","int((b*x+a)^7/(d*x+c)^8,x)","-\frac{a^{7}}{7 \left(d x +c \right)^{7} d}+\frac{a^{6} b c}{\left(d x +c \right)^{7} d^{2}}-\frac{3 a^{5} b^{2} c^{2}}{\left(d x +c \right)^{7} d^{3}}+\frac{5 a^{4} b^{3} c^{3}}{\left(d x +c \right)^{7} d^{4}}-\frac{5 a^{3} b^{4} c^{4}}{\left(d x +c \right)^{7} d^{5}}+\frac{3 a^{2} b^{5} c^{5}}{\left(d x +c \right)^{7} d^{6}}-\frac{a \,b^{6} c^{6}}{\left(d x +c \right)^{7} d^{7}}+\frac{b^{7} c^{7}}{7 \left(d x +c \right)^{7} d^{8}}-\frac{7 a^{6} b}{6 \left(d x +c \right)^{6} d^{2}}+\frac{7 a^{5} b^{2} c}{\left(d x +c \right)^{6} d^{3}}-\frac{35 a^{4} b^{3} c^{2}}{2 \left(d x +c \right)^{6} d^{4}}+\frac{70 a^{3} b^{4} c^{3}}{3 \left(d x +c \right)^{6} d^{5}}-\frac{35 a^{2} b^{5} c^{4}}{2 \left(d x +c \right)^{6} d^{6}}+\frac{7 a \,b^{6} c^{5}}{\left(d x +c \right)^{6} d^{7}}-\frac{7 b^{7} c^{6}}{6 \left(d x +c \right)^{6} d^{8}}-\frac{21 a^{5} b^{2}}{5 \left(d x +c \right)^{5} d^{3}}+\frac{21 a^{4} b^{3} c}{\left(d x +c \right)^{5} d^{4}}-\frac{42 a^{3} b^{4} c^{2}}{\left(d x +c \right)^{5} d^{5}}+\frac{42 a^{2} b^{5} c^{3}}{\left(d x +c \right)^{5} d^{6}}-\frac{21 a \,b^{6} c^{4}}{\left(d x +c \right)^{5} d^{7}}+\frac{21 b^{7} c^{5}}{5 \left(d x +c \right)^{5} d^{8}}-\frac{35 a^{4} b^{3}}{4 \left(d x +c \right)^{4} d^{4}}+\frac{35 a^{3} b^{4} c}{\left(d x +c \right)^{4} d^{5}}-\frac{105 a^{2} b^{5} c^{2}}{2 \left(d x +c \right)^{4} d^{6}}+\frac{35 a \,b^{6} c^{3}}{\left(d x +c \right)^{4} d^{7}}-\frac{35 b^{7} c^{4}}{4 \left(d x +c \right)^{4} d^{8}}-\frac{35 a^{3} b^{4}}{3 \left(d x +c \right)^{3} d^{5}}+\frac{35 a^{2} b^{5} c}{\left(d x +c \right)^{3} d^{6}}-\frac{35 a \,b^{6} c^{2}}{\left(d x +c \right)^{3} d^{7}}+\frac{35 b^{7} c^{3}}{3 \left(d x +c \right)^{3} d^{8}}-\frac{21 a^{2} b^{5}}{2 \left(d x +c \right)^{2} d^{6}}+\frac{21 a \,b^{6} c}{\left(d x +c \right)^{2} d^{7}}-\frac{21 b^{7} c^{2}}{2 \left(d x +c \right)^{2} d^{8}}-\frac{7 a \,b^{6}}{\left(d x +c \right) d^{7}}+\frac{7 b^{7} c}{\left(d x +c \right) d^{8}}+\frac{b^{7} \ln \left(d x +c \right)}{d^{8}}"," ",0,"-35/3*b^4/d^5/(d*x+c)^3*a^3+35/3*b^7/d^8/(d*x+c)^3*c^3-21/2*b^5/d^6/(d*x+c)^2*a^2-21/2*b^7/d^8/(d*x+c)^2*c^2+1/7/d^8/(d*x+c)^7*b^7*c^7-7*b^6/d^7/(d*x+c)*a+7*b^7/d^8/(d*x+c)*c-21/5*b^2/d^3/(d*x+c)^5*a^5+21/5*b^7/d^8/(d*x+c)^5*c^5-7/6*b/d^2/(d*x+c)^6*a^6-7/6*b^7/d^8/(d*x+c)^6*c^6-35/4*b^3/d^4/(d*x+c)^4*a^4-35/4*b^7/d^8/(d*x+c)^4*c^4-21*b^6/d^7/(d*x+c)^5*a*c^4+35*b^6/d^7/(d*x+c)^4*a*c^3+35*b^5/d^6/(d*x+c)^3*a^2*c-35*b^6/d^7/(d*x+c)^3*a*c^2+21*b^6/d^7/(d*x+c)^2*a*c+21*b^3/d^4/(d*x+c)^5*a^4*c-42*b^4/d^5/(d*x+c)^5*a^3*c^2+42*b^5/d^6/(d*x+c)^5*a^2*c^3+b^7*ln(d*x+c)/d^8-1/7/d/(d*x+c)^7*a^7-3/d^3/(d*x+c)^7*a^5*b^2*c^2+5/d^4/(d*x+c)^7*a^4*b^3*c^3-5/d^5/(d*x+c)^7*a^3*b^4*c^4+3/d^6/(d*x+c)^7*a^2*b^5*c^5-1/d^7/(d*x+c)^7*a*b^6*c^6+7*b^2/d^3/(d*x+c)^6*a^5*c-35/2*b^3/d^4/(d*x+c)^6*a^4*c^2+70/3*b^4/d^5/(d*x+c)^6*a^3*c^3-35/2*b^5/d^6/(d*x+c)^6*a^2*c^4+7*b^6/d^7/(d*x+c)^6*a*c^5+35*b^4/d^5/(d*x+c)^4*a^3*c-105/2*b^5/d^6/(d*x+c)^4*a^2*c^2+1/d^2/(d*x+c)^7*a^6*b*c","B"
1365,1,357,26,0.007000," ","int((b*x+a)^6/(d*x+c)^8,x)","-\frac{b^{6}}{\left(d x +c \right) d^{7}}-\frac{3 \left(a d -b c \right) b^{5}}{\left(d x +c \right)^{2} d^{7}}-\frac{5 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) b^{4}}{\left(d x +c \right)^{3} d^{7}}-\frac{5 \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) b^{3}}{\left(d x +c \right)^{4} d^{7}}-\frac{3 \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) b^{2}}{\left(d x +c \right)^{5} d^{7}}-\frac{\left(a^{5} d^{5}-5 a^{4} b c \,d^{4}+10 a^{3} b^{2} c^{2} d^{3}-10 a^{2} b^{3} c^{3} d^{2}+5 a \,b^{4} c^{4} d -b^{5} c^{5}\right) b}{\left(d x +c \right)^{6} d^{7}}-\frac{a^{6} d^{6}-6 a^{5} b c \,d^{5}+15 a^{4} b^{2} c^{2} d^{4}-20 a^{3} b^{3} c^{3} d^{3}+15 a^{2} b^{4} c^{4} d^{2}-6 a \,b^{5} c^{5} d +b^{6} c^{6}}{7 \left(d x +c \right)^{7} d^{7}}"," ",0,"-1/7*(a^6*d^6-6*a^5*b*c*d^5+15*a^4*b^2*c^2*d^4-20*a^3*b^3*c^3*d^3+15*a^2*b^4*c^4*d^2-6*a*b^5*c^5*d+b^6*c^6)/d^7/(d*x+c)^7-5*b^4*(a^2*d^2-2*a*b*c*d+b^2*c^2)/d^7/(d*x+c)^3-3*b^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)/d^7/(d*x+c)^5-b^6/d^7/(d*x+c)-b*(a^5*d^5-5*a^4*b*c*d^4+10*a^3*b^2*c^2*d^3-10*a^2*b^3*c^3*d^2+5*a*b^4*c^4*d-b^5*c^5)/d^7/(d*x+c)^6-5*b^3*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/d^7/(d*x+c)^4-3*b^5*(a*d-b*c)/d^7/(d*x+c)^2","B"
1366,1,265,54,0.008000," ","int((b*x+a)^5/(d*x+c)^8,x)","-\frac{b^{5}}{2 \left(d x +c \right)^{2} d^{6}}-\frac{5 \left(a d -b c \right) b^{4}}{3 \left(d x +c \right)^{3} d^{6}}-\frac{5 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) b^{3}}{2 \left(d x +c \right)^{4} d^{6}}-\frac{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) b^{2}}{\left(d x +c \right)^{5} d^{6}}-\frac{5 \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) b}{6 \left(d x +c \right)^{6} d^{6}}-\frac{a^{5} d^{5}-5 a^{4} b c \,d^{4}+10 a^{3} b^{2} c^{2} d^{3}-10 a^{2} b^{3} c^{3} d^{2}+5 a \,b^{4} c^{4} d -b^{5} c^{5}}{7 \left(d x +c \right)^{7} d^{6}}"," ",0,"-1/7*(a^5*d^5-5*a^4*b*c*d^4+10*a^3*b^2*c^2*d^3-10*a^2*b^3*c^3*d^2+5*a*b^4*c^4*d-b^5*c^5)/d^6/(d*x+c)^7-5/3*b^4*(a*d-b*c)/d^6/(d*x+c)^3-5/6*b*(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)/d^6/(d*x+c)^6-2*b^2*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/d^6/(d*x+c)^5-5/2*b^3*(a^2*d^2-2*a*b*c*d+b^2*c^2)/d^6/(d*x+c)^4-1/2*b^5/d^6/(d*x+c)^2","B"
1367,1,186,83,0.006000," ","int((b*x+a)^4/(d*x+c)^8,x)","-\frac{b^{4}}{3 \left(d x +c \right)^{3} d^{5}}-\frac{\left(a d -b c \right) b^{3}}{\left(d x +c \right)^{4} d^{5}}-\frac{6 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) b^{2}}{5 \left(d x +c \right)^{5} d^{5}}-\frac{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) b}{3 \left(d x +c \right)^{6} d^{5}}-\frac{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}}{7 \left(d x +c \right)^{7} d^{5}}"," ",0,"-1/7*(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)/d^5/(d*x+c)^7-1/3*b^4/d^5/(d*x+c)^3-b^3*(a*d-b*c)/d^5/(d*x+c)^4-2/3*b*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/d^5/(d*x+c)^6-6/5*b^2*(a^2*d^2-2*a*b*c*d+b^2*c^2)/d^5/(d*x+c)^5","B"
1368,1,122,84,0.007000," ","int((b*x+a)^3/(d*x+c)^8,x)","-\frac{b^{3}}{4 \left(d x +c \right)^{4} d^{4}}-\frac{3 \left(a d -b c \right) b^{2}}{5 \left(d x +c \right)^{5} d^{4}}-\frac{\left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) b}{2 \left(d x +c \right)^{6} d^{4}}-\frac{a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}}{7 \left(d x +c \right)^{7} d^{4}}"," ",0,"-1/7*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/d^4/(d*x+c)^7-1/2*b*(a^2*d^2-2*a*b*c*d+b^2*c^2)/d^4/(d*x+c)^6-1/4*b^3/d^4/(d*x+c)^4-3/5*b^2*(a*d-b*c)/d^4/(d*x+c)^5","A"
1369,1,71,59,0.005000," ","int((b*x+a)^2/(d*x+c)^8,x)","-\frac{b^{2}}{5 \left(d x +c \right)^{5} d^{3}}-\frac{\left(a d -b c \right) b}{3 \left(d x +c \right)^{6} d^{3}}-\frac{a^{2} d^{2}-2 a b c d +b^{2} c^{2}}{7 \left(d x +c \right)^{7} d^{3}}"," ",0,"-1/7*(a^2*d^2-2*a*b*c*d+b^2*c^2)/d^3/(d*x+c)^7-1/5*b^2/d^3/(d*x+c)^5-1/3*b*(a*d-b*c)/d^3/(d*x+c)^6","A"
1370,1,35,34,0.006000," ","int((b*x+a)/(d*x+c)^8,x)","-\frac{b}{6 \left(d x +c \right)^{6} d^{2}}-\frac{a d -b c}{7 \left(d x +c \right)^{7} d^{2}}"," ",0,"-1/7*(a*d-b*c)/d^2/(d*x+c)^7-1/6*b/d^2/(d*x+c)^6","A"
1371,1,13,12,0.000000," ","int(1/(d*x+c)^8,x)","-\frac{1}{7 \left(d x +c \right)^{7} d}"," ",0,"-1/7/d/(d*x+c)^7","A"
1372,1,192,190,0.016000," ","int(1/(b*x+a)/(d*x+c)^8,x)","\frac{b^{7} \ln \left(b x +a \right)}{\left(a d -b c \right)^{8}}-\frac{b^{7} \ln \left(d x +c \right)}{\left(a d -b c \right)^{8}}-\frac{b^{6}}{\left(a d -b c \right)^{7} \left(d x +c \right)}+\frac{b^{5}}{2 \left(a d -b c \right)^{6} \left(d x +c \right)^{2}}-\frac{b^{4}}{3 \left(a d -b c \right)^{5} \left(d x +c \right)^{3}}+\frac{b^{3}}{4 \left(a d -b c \right)^{4} \left(d x +c \right)^{4}}-\frac{b^{2}}{5 \left(a d -b c \right)^{3} \left(d x +c \right)^{5}}+\frac{b}{6 \left(a d -b c \right)^{2} \left(d x +c \right)^{6}}-\frac{1}{7 \left(a d -b c \right) \left(d x +c \right)^{7}}"," ",0,"-1/7/(a*d-b*c)/(d*x+c)^7-1/5*b^2/(a*d-b*c)^3/(d*x+c)^5-1/3*b^4/(a*d-b*c)^5/(d*x+c)^3-b^6/(a*d-b*c)^7/(d*x+c)+1/6*b/(a*d-b*c)^2/(d*x+c)^6+1/4*b^3/(a*d-b*c)^4/(d*x+c)^4+1/2*b^5/(a*d-b*c)^6/(d*x+c)^2-b^7/(a*d-b*c)^8*ln(d*x+c)+b^7/(a*d-b*c)^8*ln(b*x+a)","A"
1373,1,223,223,0.020000," ","int(1/(b*x+a)^2/(d*x+c)^8,x)","\frac{8 b^{7} d \ln \left(b x +a \right)}{\left(a d -b c \right)^{9}}-\frac{8 b^{7} d \ln \left(d x +c \right)}{\left(a d -b c \right)^{9}}-\frac{b^{7}}{\left(a d -b c \right)^{8} \left(b x +a \right)}-\frac{7 b^{6} d}{\left(a d -b c \right)^{8} \left(d x +c \right)}+\frac{3 b^{5} d}{\left(a d -b c \right)^{7} \left(d x +c \right)^{2}}-\frac{5 b^{4} d}{3 \left(a d -b c \right)^{6} \left(d x +c \right)^{3}}+\frac{b^{3} d}{\left(a d -b c \right)^{5} \left(d x +c \right)^{4}}-\frac{3 b^{2} d}{5 \left(a d -b c \right)^{4} \left(d x +c \right)^{5}}+\frac{b d}{3 \left(a d -b c \right)^{3} \left(d x +c \right)^{6}}-\frac{d}{7 \left(a d -b c \right)^{2} \left(d x +c \right)^{7}}"," ",0,"-1/7*d/(a*d-b*c)^2/(d*x+c)^7-8*d/(a*d-b*c)^9*b^7*ln(d*x+c)-7*d/(a*d-b*c)^8*b^6/(d*x+c)+3*d/(a*d-b*c)^7*b^5/(d*x+c)^2-5/3*d/(a*d-b*c)^6*b^4/(d*x+c)^3+d/(a*d-b*c)^5*b^3/(d*x+c)^4-3/5*d/(a*d-b*c)^4*b^2/(d*x+c)^5+1/3*d/(a*d-b*c)^3*b/(d*x+c)^6-b^7/(a*d-b*c)^8/(b*x+a)+8*d/(a*d-b*c)^9*b^7*ln(b*x+a)","A"
1374,1,265,264,0.020000," ","int(1/(b*x+a)^3/(d*x+c)^8,x)","\frac{36 b^{7} d^{2} \ln \left(b x +a \right)}{\left(a d -b c \right)^{10}}-\frac{36 b^{7} d^{2} \ln \left(d x +c \right)}{\left(a d -b c \right)^{10}}-\frac{8 b^{7} d}{\left(a d -b c \right)^{9} \left(b x +a \right)}-\frac{28 b^{6} d^{2}}{\left(a d -b c \right)^{9} \left(d x +c \right)}-\frac{b^{7}}{2 \left(a d -b c \right)^{8} \left(b x +a \right)^{2}}+\frac{21 b^{5} d^{2}}{2 \left(a d -b c \right)^{8} \left(d x +c \right)^{2}}-\frac{5 b^{4} d^{2}}{\left(a d -b c \right)^{7} \left(d x +c \right)^{3}}+\frac{5 b^{3} d^{2}}{2 \left(a d -b c \right)^{6} \left(d x +c \right)^{4}}-\frac{6 b^{2} d^{2}}{5 \left(a d -b c \right)^{5} \left(d x +c \right)^{5}}+\frac{b \,d^{2}}{2 \left(a d -b c \right)^{4} \left(d x +c \right)^{6}}-\frac{d^{2}}{7 \left(a d -b c \right)^{3} \left(d x +c \right)^{7}}"," ",0,"-1/7*d^2/(a*d-b*c)^3/(d*x+c)^7-36*d^2/(a*d-b*c)^10*b^7*ln(d*x+c)-28*d^2/(a*d-b*c)^9*b^6/(d*x+c)+21/2*d^2/(a*d-b*c)^8*b^5/(d*x+c)^2-5*d^2/(a*d-b*c)^7*b^4/(d*x+c)^3+5/2*d^2/(a*d-b*c)^6*b^3/(d*x+c)^4-6/5*d^2/(a*d-b*c)^5*b^2/(d*x+c)^5+1/2*d^2/(a*d-b*c)^4*b/(d*x+c)^6-1/2*b^7/(a*d-b*c)^8/(b*x+a)^2+36*d^2/(a*d-b*c)^10*b^7*ln(b*x+a)-8*b^7/(a*d-b*c)^9*d/(b*x+a)","A"
1375,1,273,134,0.008000," ","int((b*x+a)^5*(d*x+c)^(1/2),x)","\frac{2 \left(d x +c \right)^{\frac{3}{2}} \left(693 b^{5} x^{5} d^{5}+4095 a \,b^{4} d^{5} x^{4}-630 b^{5} c \,d^{4} x^{4}+10010 a^{2} b^{3} d^{5} x^{3}-3640 a \,b^{4} c \,d^{4} x^{3}+560 b^{5} c^{2} d^{3} x^{3}+12870 a^{3} b^{2} d^{5} x^{2}-8580 a^{2} b^{3} c \,d^{4} x^{2}+3120 a \,b^{4} c^{2} d^{3} x^{2}-480 b^{5} c^{3} d^{2} x^{2}+9009 a^{4} b \,d^{5} x -10296 a^{3} b^{2} c \,d^{4} x +6864 a^{2} b^{3} c^{2} d^{3} x -2496 a \,b^{4} c^{3} d^{2} x +384 b^{5} c^{4} d x +3003 a^{5} d^{5}-6006 a^{4} b c \,d^{4}+6864 a^{3} b^{2} c^{2} d^{3}-4576 a^{2} b^{3} c^{3} d^{2}+1664 a \,b^{4} c^{4} d -256 b^{5} c^{5}\right)}{9009 d^{6}}"," ",0,"2/9009*(d*x+c)^(3/2)*(693*b^5*d^5*x^5+4095*a*b^4*d^5*x^4-630*b^5*c*d^4*x^4+10010*a^2*b^3*d^5*x^3-3640*a*b^4*c*d^4*x^3+560*b^5*c^2*d^3*x^3+12870*a^3*b^2*d^5*x^2-8580*a^2*b^3*c*d^4*x^2+3120*a*b^4*c^2*d^3*x^2-480*b^5*c^3*d^2*x^2+9009*a^4*b*d^5*x-10296*a^3*b^2*c*d^4*x+6864*a^2*b^3*c^2*d^3*x-2496*a*b^4*c^3*d^2*x+384*b^5*c^4*d*x+3003*a^5*d^5-6006*a^4*b*c*d^4+6864*a^3*b^2*c^2*d^3-4576*a^2*b^3*c^3*d^2+1664*a*b^4*c^4*d-256*b^5*c^5)/d^6","B"
1376,1,186,109,0.007000," ","int((b*x+a)^4*(d*x+c)^(1/2),x)","\frac{2 \left(d x +c \right)^{\frac{3}{2}} \left(315 b^{4} x^{4} d^{4}+1540 a \,b^{3} d^{4} x^{3}-280 b^{4} c \,d^{3} x^{3}+2970 a^{2} b^{2} d^{4} x^{2}-1320 a \,b^{3} c \,d^{3} x^{2}+240 b^{4} c^{2} d^{2} x^{2}+2772 a^{3} b \,d^{4} x -2376 a^{2} b^{2} c \,d^{3} x +1056 a \,b^{3} c^{2} d^{2} x -192 b^{4} c^{3} d x +1155 a^{4} d^{4}-1848 a^{3} b c \,d^{3}+1584 a^{2} b^{2} c^{2} d^{2}-704 a \,b^{3} c^{3} d +128 b^{4} c^{4}\right)}{3465 d^{5}}"," ",0,"2/3465*(d*x+c)^(3/2)*(315*b^4*d^4*x^4+1540*a*b^3*d^4*x^3-280*b^4*c*d^3*x^3+2970*a^2*b^2*d^4*x^2-1320*a*b^3*c*d^3*x^2+240*b^4*c^2*d^2*x^2+2772*a^3*b*d^4*x-2376*a^2*b^2*c*d^3*x+1056*a*b^3*c^2*d^2*x-192*b^4*c^3*d*x+1155*a^4*d^4-1848*a^3*b*c*d^3+1584*a^2*b^2*c^2*d^2-704*a*b^3*c^3*d+128*b^4*c^4)/d^5","A"
1377,1,116,84,0.005000," ","int((b*x+a)^3*(d*x+c)^(1/2),x)","\frac{2 \left(d x +c \right)^{\frac{3}{2}} \left(35 b^{3} x^{3} d^{3}+135 a \,b^{2} d^{3} x^{2}-30 b^{3} c \,d^{2} x^{2}+189 a^{2} b \,d^{3} x -108 a \,b^{2} c \,d^{2} x +24 b^{3} c^{2} d x +105 a^{3} d^{3}-126 a^{2} b c \,d^{2}+72 a \,b^{2} c^{2} d -16 b^{3} c^{3}\right)}{315 d^{4}}"," ",0,"2/315*(d*x+c)^(3/2)*(35*b^3*d^3*x^3+135*a*b^2*d^3*x^2-30*b^3*c*d^2*x^2+189*a^2*b*d^3*x-108*a*b^2*c*d^2*x+24*b^3*c^2*d*x+105*a^3*d^3-126*a^2*b*c*d^2+72*a*b^2*c^2*d-16*b^3*c^3)/d^4","A"
1378,1,63,59,0.007000," ","int((b*x+a)^2*(d*x+c)^(1/2),x)","\frac{2 \left(d x +c \right)^{\frac{3}{2}} \left(15 b^{2} x^{2} d^{2}+42 a b \,d^{2} x -12 b^{2} c d x +35 a^{2} d^{2}-28 a b c d +8 b^{2} c^{2}\right)}{105 d^{3}}"," ",0,"2/105*(d*x+c)^(3/2)*(15*b^2*d^2*x^2+42*a*b*d^2*x-12*b^2*c*d*x+35*a^2*d^2-28*a*b*c*d+8*b^2*c^2)/d^3","A"
1379,1,27,34,0.004000," ","int((b*x+a)*(d*x+c)^(1/2),x)","\frac{2 \left(d x +c \right)^{\frac{3}{2}} \left(3 b d x +5 a d -2 b c \right)}{15 d^{2}}"," ",0,"2/15*(d*x+c)^(3/2)*(3*b*d*x+5*a*d-2*b*c)/d^2","A"
1380,1,13,12,0.002000," ","int((d*x+c)^(1/2),x)","\frac{2 \left(d x +c \right)^{\frac{3}{2}}}{3 d}"," ",0,"2/3*(d*x+c)^(3/2)/d","A"
1381,1,92,50,0.011000," ","int((d*x+c)^(1/2)/(b*x+a),x)","-\frac{2 a 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 \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}}{b}"," ",0,"2*(d*x+c)^(1/2)/b-2/b/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)*b/((a*d-b*c)*b)^(1/2))*a*d+2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)*b/((a*d-b*c)*b)^(1/2))*c","A"
1382,1,64,58,0.013000," ","int((d*x+c)^(1/2)/(b*x+a)^2,x)","\frac{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}\, d}{\left(b d x +a d \right) b}"," ",0,"-d/b*(d*x+c)^(1/2)/(b*d*x+a*d)+d/b/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)","A"
1383,1,111,90,0.013000," ","int((d*x+c)^(1/2)/(b*x+a)^3,x)","\frac{d^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{4 \left(a d -b c \right) \sqrt{\left(a d -b c \right) b}\, b}+\frac{\left(d x +c \right)^{\frac{3}{2}} d^{2}}{4 \left(b d x +a d \right)^{2} \left(a d -b c \right)}-\frac{\sqrt{d x +c}\, d^{2}}{4 \left(b d x +a d \right)^{2} b}"," ",0,"1/4*d^2/(b*d*x+a*d)^2/(a*d-b*c)*(d*x+c)^(3/2)-1/4*d^2/(b*d*x+a*d)^2/b*(d*x+c)^(1/2)+1/4*d^2/(a*d-b*c)/b/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)","A"
1384,1,170,122,0.015000," ","int((d*x+c)^(1/2)/(b*x+a)^4,x)","\frac{\left(d x +c \right)^{\frac{5}{2}} b \,d^{3}}{8 \left(b d x +a d \right)^{3} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}+\frac{d^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{8 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) \sqrt{\left(a d -b c \right) b}\, b}+\frac{\left(d x +c \right)^{\frac{3}{2}} d^{3}}{3 \left(b d x +a d \right)^{3} \left(a d -b c \right)}-\frac{\sqrt{d x +c}\, d^{3}}{8 \left(b d x +a d \right)^{3} b}"," ",0,"1/8*d^3/(b*d*x+a*d)^3*b/(a^2*d^2-2*a*b*c*d+b^2*c^2)*(d*x+c)^(5/2)+1/3*d^3/(b*d*x+a*d)^3/(a*d-b*c)*(d*x+c)^(3/2)-1/8*d^3/(b*d*x+a*d)^3/b*(d*x+c)^(1/2)+1/8*d^3/b/(a^2*d^2-2*a*b*c*d+b^2*c^2)/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)","A"
1385,1,248,154,0.016000," ","int((d*x+c)^(1/2)/(b*x+a)^5,x)","\frac{5 \left(d x +c \right)^{\frac{7}{2}} b^{2} d^{4}}{64 \left(b d x +a d \right)^{4} \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right)}+\frac{55 \left(d x +c \right)^{\frac{5}{2}} b \,d^{4}}{192 \left(b d x +a d \right)^{4} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}+\frac{5 d^{4} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{64 \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) \sqrt{\left(a d -b c \right) b}\, b}+\frac{73 \left(d x +c \right)^{\frac{3}{2}} d^{4}}{192 \left(b d x +a d \right)^{4} \left(a d -b c \right)}-\frac{5 \sqrt{d x +c}\, d^{4}}{64 \left(b d x +a d \right)^{4} b}"," ",0,"5/64*d^4/(b*d*x+a*d)^4*b^2/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)*(d*x+c)^(7/2)+55/192*d^4/(b*d*x+a*d)^4*b/(a^2*d^2-2*a*b*c*d+b^2*c^2)*(d*x+c)^(5/2)+73/192*d^4/(b*d*x+a*d)^4/(a*d-b*c)*(d*x+c)^(3/2)-5/64*d^4/(b*d*x+a*d)^4/b*(d*x+c)^(1/2)+5/64*d^4/b/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)","A"
1386,1,337,186,0.018000," ","int((d*x+c)^(1/2)/(b*x+a)^6,x)","\frac{7 \left(d x +c \right)^{\frac{9}{2}} b^{3} d^{5}}{128 \left(b d x +a d \right)^{5} \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)}+\frac{49 \left(d x +c \right)^{\frac{7}{2}} b^{2} d^{5}}{192 \left(b d x +a d \right)^{5} \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right)}+\frac{7 \left(d x +c \right)^{\frac{5}{2}} b \,d^{5}}{15 \left(b d x +a d \right)^{5} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}+\frac{7 d^{5} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{128 \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) \sqrt{\left(a d -b c \right) b}\, b}+\frac{79 \left(d x +c \right)^{\frac{3}{2}} d^{5}}{192 \left(b d x +a d \right)^{5} \left(a d -b c \right)}-\frac{7 \sqrt{d x +c}\, d^{5}}{128 \left(b d x +a d \right)^{5} b}"," ",0,"7/128*d^5/(b*d*x+a*d)^5*b^3/(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)*(d*x+c)^(9/2)+49/192*d^5/(b*d*x+a*d)^5*b^2/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)*(d*x+c)^(7/2)+7/15*d^5/(b*d*x+a*d)^5*b/(a^2*d^2-2*a*b*c*d+b^2*c^2)*(d*x+c)^(5/2)+79/192*d^5/(b*d*x+a*d)^5/(a*d-b*c)*(d*x+c)^(3/2)-7/128*d^5/(b*d*x+a*d)^5/b*(d*x+c)^(1/2)+7/128*d^5/b/(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*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)","A"
1387,1,273,134,0.007000," ","int((b*x+a)^5*(d*x+c)^(3/2),x)","\frac{2 \left(d x +c \right)^{\frac{5}{2}} \left(3003 b^{5} x^{5} d^{5}+17325 a \,b^{4} d^{5} x^{4}-2310 b^{5} c \,d^{4} x^{4}+40950 a^{2} b^{3} d^{5} x^{3}-12600 a \,b^{4} c \,d^{4} x^{3}+1680 b^{5} c^{2} d^{3} x^{3}+50050 a^{3} b^{2} d^{5} x^{2}-27300 a^{2} b^{3} c \,d^{4} x^{2}+8400 a \,b^{4} c^{2} d^{3} x^{2}-1120 b^{5} c^{3} d^{2} x^{2}+32175 a^{4} b \,d^{5} x -28600 a^{3} b^{2} c \,d^{4} x +15600 a^{2} b^{3} c^{2} d^{3} x -4800 a \,b^{4} c^{3} d^{2} x +640 b^{5} c^{4} d x +9009 a^{5} d^{5}-12870 a^{4} b c \,d^{4}+11440 a^{3} b^{2} c^{2} d^{3}-6240 a^{2} b^{3} c^{3} d^{2}+1920 a \,b^{4} c^{4} d -256 b^{5} c^{5}\right)}{45045 d^{6}}"," ",0,"2/45045*(d*x+c)^(5/2)*(3003*b^5*d^5*x^5+17325*a*b^4*d^5*x^4-2310*b^5*c*d^4*x^4+40950*a^2*b^3*d^5*x^3-12600*a*b^4*c*d^4*x^3+1680*b^5*c^2*d^3*x^3+50050*a^3*b^2*d^5*x^2-27300*a^2*b^3*c*d^4*x^2+8400*a*b^4*c^2*d^3*x^2-1120*b^5*c^3*d^2*x^2+32175*a^4*b*d^5*x-28600*a^3*b^2*c*d^4*x+15600*a^2*b^3*c^2*d^3*x-4800*a*b^4*c^3*d^2*x+640*b^5*c^4*d*x+9009*a^5*d^5-12870*a^4*b*c*d^4+11440*a^3*b^2*c^2*d^3-6240*a^2*b^3*c^3*d^2+1920*a*b^4*c^4*d-256*b^5*c^5)/d^6","B"
1388,1,186,109,0.007000," ","int((b*x+a)^4*(d*x+c)^(3/2),x)","\frac{2 \left(d x +c \right)^{\frac{5}{2}} \left(1155 b^{4} x^{4} d^{4}+5460 a \,b^{3} d^{4} x^{3}-840 b^{4} c \,d^{3} x^{3}+10010 a^{2} b^{2} d^{4} x^{2}-3640 a \,b^{3} c \,d^{3} x^{2}+560 b^{4} c^{2} d^{2} x^{2}+8580 a^{3} b \,d^{4} x -5720 a^{2} b^{2} c \,d^{3} x +2080 a \,b^{3} c^{2} d^{2} x -320 b^{4} c^{3} d x +3003 a^{4} d^{4}-3432 a^{3} b c \,d^{3}+2288 a^{2} b^{2} c^{2} d^{2}-832 a \,b^{3} c^{3} d +128 b^{4} c^{4}\right)}{15015 d^{5}}"," ",0,"2/15015*(d*x+c)^(5/2)*(1155*b^4*d^4*x^4+5460*a*b^3*d^4*x^3-840*b^4*c*d^3*x^3+10010*a^2*b^2*d^4*x^2-3640*a*b^3*c*d^3*x^2+560*b^4*c^2*d^2*x^2+8580*a^3*b*d^4*x-5720*a^2*b^2*c*d^3*x+2080*a*b^3*c^2*d^2*x-320*b^4*c^3*d*x+3003*a^4*d^4-3432*a^3*b*c*d^3+2288*a^2*b^2*c^2*d^2-832*a*b^3*c^3*d+128*b^4*c^4)/d^5","A"
1389,1,116,84,0.006000," ","int((b*x+a)^3*(d*x+c)^(3/2),x)","\frac{2 \left(d x +c \right)^{\frac{5}{2}} \left(105 b^{3} x^{3} d^{3}+385 a \,b^{2} d^{3} x^{2}-70 b^{3} c \,d^{2} x^{2}+495 a^{2} b \,d^{3} x -220 a \,b^{2} c \,d^{2} x +40 b^{3} c^{2} d x +231 a^{3} d^{3}-198 a^{2} b c \,d^{2}+88 a \,b^{2} c^{2} d -16 b^{3} c^{3}\right)}{1155 d^{4}}"," ",0,"2/1155*(d*x+c)^(5/2)*(105*b^3*d^3*x^3+385*a*b^2*d^3*x^2-70*b^3*c*d^2*x^2+495*a^2*b*d^3*x-220*a*b^2*c*d^2*x+40*b^3*c^2*d*x+231*a^3*d^3-198*a^2*b*c*d^2+88*a*b^2*c^2*d-16*b^3*c^3)/d^4","A"
1390,1,63,59,0.006000," ","int((b*x+a)^2*(d*x+c)^(3/2),x)","\frac{2 \left(d x +c \right)^{\frac{5}{2}} \left(35 b^{2} x^{2} d^{2}+90 a b \,d^{2} x -20 b^{2} c d x +63 a^{2} d^{2}-36 a b c d +8 b^{2} c^{2}\right)}{315 d^{3}}"," ",0,"2/315*(d*x+c)^(5/2)*(35*b^2*d^2*x^2+90*a*b*d^2*x-20*b^2*c*d*x+63*a^2*d^2-36*a*b*c*d+8*b^2*c^2)/d^3","A"
1391,1,27,34,0.003000," ","int((b*x+a)*(d*x+c)^(3/2),x)","\frac{2 \left(d x +c \right)^{\frac{5}{2}} \left(5 b d x +7 a d -2 b c \right)}{35 d^{2}}"," ",0,"2/35*(d*x+c)^(5/2)*(5*b*d*x+7*a*d-2*b*c)/d^2","A"
1392,1,13,12,0.002000," ","int((d*x+c)^(3/2),x)","\frac{2 \left(d x +c \right)^{\frac{5}{2}}}{5 d}"," ",0,"2/5*(d*x+c)^(5/2)/d","A"
1393,1,167,70,0.009000," ","int((d*x+c)^(3/2)/(b*x+a),x)","\frac{2 a^{2} 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{4 a 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}\, b}+\frac{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}}-\frac{2 \sqrt{d x +c}\, a d}{b^{2}}+\frac{2 \sqrt{d x +c}\, c}{b}+\frac{2 \left(d x +c \right)^{\frac{3}{2}}}{3 b}"," ",0,"2/3*(d*x+c)^(3/2)/b-2/b^2*a*d*(d*x+c)^(1/2)+2/b*(d*x+c)^(1/2)*c+2/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*d^2-4/b/((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/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^2","B"
1394,1,148,71,0.013000," ","int((d*x+c)^(3/2)/(b*x+a)^2,x)","-\frac{3 a \,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{3 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}\, b}+\frac{\sqrt{d x +c}\, a \,d^{2}}{\left(b d x +a d \right) b^{2}}-\frac{\sqrt{d x +c}\, c d}{\left(b d x +a d \right) b}+\frac{2 \sqrt{d x +c}\, d}{b^{2}}"," ",0,"2*d*(d*x+c)^(1/2)/b^2+1/b^2*(d*x+c)^(1/2)/(b*d*x+a*d)*a*d^2-d/b*(d*x+c)^(1/2)/(b*d*x+a*d)*c-3/b^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*a*d^2+3*d/b/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c","B"
1395,1,121,80,0.013000," ","int((d*x+c)^(3/2)/(b*x+a)^3,x)","-\frac{3 \sqrt{d x +c}\, a \,d^{3}}{4 \left(b d x +a d \right)^{2} b^{2}}+\frac{3 \sqrt{d x +c}\, c \,d^{2}}{4 \left(b d x +a d \right)^{2} b}-\frac{5 \left(d x +c \right)^{\frac{3}{2}} d^{2}}{4 \left(b d x +a d \right)^{2} b}+\frac{3 d^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{4 \sqrt{\left(a d -b c \right) b}\, b^{2}}"," ",0,"-5/4*d^2/(b*d*x+a*d)^2/b*(d*x+c)^(3/2)-3/4*d^3/(b*d*x+a*d)^2/b^2*(d*x+c)^(1/2)*a+3/4*d^2/(b*d*x+a*d)^2/b*(d*x+c)^(1/2)*c+3/4*d^2/b^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)","A"
1396,1,163,112,0.015000," ","int((d*x+c)^(3/2)/(b*x+a)^4,x)","-\frac{\sqrt{d x +c}\, a \,d^{4}}{8 \left(b d x +a d \right)^{3} b^{2}}+\frac{\sqrt{d x +c}\, c \,d^{3}}{8 \left(b d x +a d \right)^{3} b}+\frac{\left(d x +c \right)^{\frac{5}{2}} d^{3}}{8 \left(b d x +a d \right)^{3} \left(a d -b c \right)}-\frac{\left(d x +c \right)^{\frac{3}{2}} d^{3}}{3 \left(b d x +a d \right)^{3} b}+\frac{d^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{8 \left(a d -b c \right) \sqrt{\left(a d -b c \right) b}\, b^{2}}"," ",0,"1/8*d^3/(b*d*x+a*d)^3/(a*d-b*c)*(d*x+c)^(5/2)-1/3*d^3/(b*d*x+a*d)^3/b*(d*x+c)^(3/2)-1/8*d^4/(b*d*x+a*d)^3/b^2*(d*x+c)^(1/2)*a+1/8*d^3/(b*d*x+a*d)^3/b*(d*x+c)^(1/2)*c+1/8*d^3/(a*d-b*c)/b^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)","A"
1397,1,222,144,0.017000," ","int((d*x+c)^(3/2)/(b*x+a)^5,x)","\frac{3 \left(d x +c \right)^{\frac{7}{2}} b \,d^{4}}{64 \left(b d x +a d \right)^{4} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}-\frac{3 \sqrt{d x +c}\, a \,d^{5}}{64 \left(b d x +a d \right)^{4} b^{2}}+\frac{3 \sqrt{d x +c}\, c \,d^{4}}{64 \left(b d x +a d \right)^{4} b}+\frac{11 \left(d x +c \right)^{\frac{5}{2}} d^{4}}{64 \left(b d x +a d \right)^{4} \left(a d -b c \right)}-\frac{11 \left(d x +c \right)^{\frac{3}{2}} d^{4}}{64 \left(b d x +a d \right)^{4} b}+\frac{3 d^{4} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{64 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) \sqrt{\left(a d -b c \right) b}\, b^{2}}"," ",0,"3/64*d^4/(b*d*x+a*d)^4*b/(a^2*d^2-2*a*b*c*d+b^2*c^2)*(d*x+c)^(7/2)+11/64*d^4/(b*d*x+a*d)^4/(a*d-b*c)*(d*x+c)^(5/2)-11/64*d^4/(b*d*x+a*d)^4/b*(d*x+c)^(3/2)-3/64*d^5/(b*d*x+a*d)^4/b^2*(d*x+c)^(1/2)*a+3/64*d^4/(b*d*x+a*d)^4/b*(d*x+c)^(1/2)*c+3/64*d^4/(a^2*d^2-2*a*b*c*d+b^2*c^2)/b^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)","A"
1398,1,300,176,0.017000," ","int((d*x+c)^(3/2)/(b*x+a)^6,x)","\frac{3 \left(d x +c \right)^{\frac{9}{2}} b^{2} d^{5}}{128 \left(b d x +a d \right)^{5} \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right)}+\frac{7 \left(d x +c \right)^{\frac{7}{2}} b \,d^{5}}{64 \left(b d x +a d \right)^{5} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}-\frac{3 \sqrt{d x +c}\, a \,d^{6}}{128 \left(b d x +a d \right)^{5} b^{2}}+\frac{3 \sqrt{d x +c}\, c \,d^{5}}{128 \left(b d x +a d \right)^{5} b}+\frac{\left(d x +c \right)^{\frac{5}{2}} d^{5}}{5 \left(b d x +a d \right)^{5} \left(a d -b c \right)}-\frac{7 \left(d x +c \right)^{\frac{3}{2}} d^{5}}{64 \left(b d x +a d \right)^{5} b}+\frac{3 d^{5} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{128 \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) \sqrt{\left(a d -b c \right) b}\, b^{2}}"," ",0,"3/128*d^5/(b*d*x+a*d)^5*b^2/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)*(d*x+c)^(9/2)+7/64*d^5/(b*d*x+a*d)^5*b/(a^2*d^2-2*a*b*c*d+b^2*c^2)*(d*x+c)^(7/2)+1/5*d^5/(b*d*x+a*d)^5/(a*d-b*c)*(d*x+c)^(5/2)-7/64*d^5/(b*d*x+a*d)^5/b*(d*x+c)^(3/2)-3/128*d^6/(b*d*x+a*d)^5/b^2*(d*x+c)^(1/2)*a+3/128*d^5/(b*d*x+a*d)^5/b*(d*x+c)^(1/2)*c+3/128*d^5/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/b^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)","A"
1399,1,273,134,0.005000," ","int((b*x+a)^5*(d*x+c)^(5/2),x)","\frac{2 \left(d x +c \right)^{\frac{7}{2}} \left(9009 b^{5} x^{5} d^{5}+51051 a \,b^{4} d^{5} x^{4}-6006 b^{5} c \,d^{4} x^{4}+117810 a^{2} b^{3} d^{5} x^{3}-31416 a \,b^{4} c \,d^{4} x^{3}+3696 b^{5} c^{2} d^{3} x^{3}+139230 a^{3} b^{2} d^{5} x^{2}-64260 a^{2} b^{3} c \,d^{4} x^{2}+17136 a \,b^{4} c^{2} d^{3} x^{2}-2016 b^{5} c^{3} d^{2} x^{2}+85085 a^{4} b \,d^{5} x -61880 a^{3} b^{2} c \,d^{4} x +28560 a^{2} b^{3} c^{2} d^{3} x -7616 a \,b^{4} c^{3} d^{2} x +896 b^{5} c^{4} d x +21879 a^{5} d^{5}-24310 a^{4} b c \,d^{4}+17680 a^{3} b^{2} c^{2} d^{3}-8160 a^{2} b^{3} c^{3} d^{2}+2176 a \,b^{4} c^{4} d -256 b^{5} c^{5}\right)}{153153 d^{6}}"," ",0,"2/153153*(d*x+c)^(7/2)*(9009*b^5*d^5*x^5+51051*a*b^4*d^5*x^4-6006*b^5*c*d^4*x^4+117810*a^2*b^3*d^5*x^3-31416*a*b^4*c*d^4*x^3+3696*b^5*c^2*d^3*x^3+139230*a^3*b^2*d^5*x^2-64260*a^2*b^3*c*d^4*x^2+17136*a*b^4*c^2*d^3*x^2-2016*b^5*c^3*d^2*x^2+85085*a^4*b*d^5*x-61880*a^3*b^2*c*d^4*x+28560*a^2*b^3*c^2*d^3*x-7616*a*b^4*c^3*d^2*x+896*b^5*c^4*d*x+21879*a^5*d^5-24310*a^4*b*c*d^4+17680*a^3*b^2*c^2*d^3-8160*a^2*b^3*c^3*d^2+2176*a*b^4*c^4*d-256*b^5*c^5)/d^6","B"
1400,1,186,109,0.007000," ","int((b*x+a)^4*(d*x+c)^(5/2),x)","\frac{2 \left(d x +c \right)^{\frac{7}{2}} \left(3003 b^{4} x^{4} d^{4}+13860 a \,b^{3} d^{4} x^{3}-1848 b^{4} c \,d^{3} x^{3}+24570 a^{2} b^{2} d^{4} x^{2}-7560 a \,b^{3} c \,d^{3} x^{2}+1008 b^{4} c^{2} d^{2} x^{2}+20020 a^{3} b \,d^{4} x -10920 a^{2} b^{2} c \,d^{3} x +3360 a \,b^{3} c^{2} d^{2} x -448 b^{4} c^{3} d x +6435 a^{4} d^{4}-5720 a^{3} b c \,d^{3}+3120 a^{2} b^{2} c^{2} d^{2}-960 a \,b^{3} c^{3} d +128 b^{4} c^{4}\right)}{45045 d^{5}}"," ",0,"2/45045*(d*x+c)^(7/2)*(3003*b^4*d^4*x^4+13860*a*b^3*d^4*x^3-1848*b^4*c*d^3*x^3+24570*a^2*b^2*d^4*x^2-7560*a*b^3*c*d^3*x^2+1008*b^4*c^2*d^2*x^2+20020*a^3*b*d^4*x-10920*a^2*b^2*c*d^3*x+3360*a*b^3*c^2*d^2*x-448*b^4*c^3*d*x+6435*a^4*d^4-5720*a^3*b*c*d^3+3120*a^2*b^2*c^2*d^2-960*a*b^3*c^3*d+128*b^4*c^4)/d^5","A"
1401,1,116,84,0.007000," ","int((b*x+a)^3*(d*x+c)^(5/2),x)","\frac{2 \left(d x +c \right)^{\frac{7}{2}} \left(231 b^{3} x^{3} d^{3}+819 a \,b^{2} d^{3} x^{2}-126 b^{3} c \,d^{2} x^{2}+1001 a^{2} b \,d^{3} x -364 a \,b^{2} c \,d^{2} x +56 b^{3} c^{2} d x +429 a^{3} d^{3}-286 a^{2} b c \,d^{2}+104 a \,b^{2} c^{2} d -16 b^{3} c^{3}\right)}{3003 d^{4}}"," ",0,"2/3003*(d*x+c)^(7/2)*(231*b^3*d^3*x^3+819*a*b^2*d^3*x^2-126*b^3*c*d^2*x^2+1001*a^2*b*d^3*x-364*a*b^2*c*d^2*x+56*b^3*c^2*d*x+429*a^3*d^3-286*a^2*b*c*d^2+104*a*b^2*c^2*d-16*b^3*c^3)/d^4","A"
1402,1,63,59,0.007000," ","int((b*x+a)^2*(d*x+c)^(5/2),x)","\frac{2 \left(d x +c \right)^{\frac{7}{2}} \left(63 b^{2} x^{2} d^{2}+154 a b \,d^{2} x -28 b^{2} c d x +99 a^{2} d^{2}-44 a b c d +8 b^{2} c^{2}\right)}{693 d^{3}}"," ",0,"2/693*(d*x+c)^(7/2)*(63*b^2*d^2*x^2+154*a*b*d^2*x-28*b^2*c*d*x+99*a^2*d^2-44*a*b*c*d+8*b^2*c^2)/d^3","A"
1403,1,27,34,0.003000," ","int((b*x+a)*(d*x+c)^(5/2),x)","\frac{2 \left(d x +c \right)^{\frac{7}{2}} \left(7 b d x +9 a d -2 b c \right)}{63 d^{2}}"," ",0,"2/63*(d*x+c)^(7/2)*(7*b*d*x+9*a*d-2*b*c)/d^2","A"
1404,1,13,12,0.002000," ","int((d*x+c)^(5/2),x)","\frac{2 \left(d x +c \right)^{\frac{7}{2}}}{7 d}"," ",0,"2/7*(d*x+c)^(7/2)/d","A"
1405,1,263,92,0.008000," ","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*a^2*d^2*(d*x+c)^(1/2)-4/b^2*a*c*d*(d*x+c)^(1/2)+2/b*c^2*(d*x+c)^(1/2)-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"
1406,1,258,92,0.014000," ","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*(d*x+c)^(3/2)/b^2-4/b^3*a*d^2*(d*x+c)^(1/2)+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"
1407,1,238,95,0.016000," ","int((d*x+c)^(5/2)/(b*x+a)^3,x)","\frac{7 \sqrt{d x +c}\, a^{2} d^{4}}{4 \left(b d x +a d \right)^{2} b^{3}}-\frac{7 \sqrt{d x +c}\, a c \,d^{3}}{2 \left(b d x +a d \right)^{2} b^{2}}+\frac{7 \sqrt{d x +c}\, c^{2} d^{2}}{4 \left(b d x +a d \right)^{2} b}+\frac{9 \left(d x +c \right)^{\frac{3}{2}} a \,d^{3}}{4 \left(b d x +a d \right)^{2} b^{2}}-\frac{15 a \,d^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{4 \sqrt{\left(a d -b c \right) b}\, b^{3}}-\frac{9 \left(d x +c \right)^{\frac{3}{2}} c \,d^{2}}{4 \left(b d x +a d \right)^{2} b}+\frac{15 c \,d^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{4 \sqrt{\left(a d -b c \right) b}\, b^{2}}+\frac{2 \sqrt{d x +c}\, d^{2}}{b^{3}}"," ",0,"2*d^2*(d*x+c)^(1/2)/b^3+9/4*d^3/b^2/(b*d*x+a*d)^2*(d*x+c)^(3/2)*a-9/4*d^2/b/(b*d*x+a*d)^2*(d*x+c)^(3/2)*c+7/4*d^4/b^3/(b*d*x+a*d)^2*(d*x+c)^(1/2)*a^2-7/2*d^3/b^2/(b*d*x+a*d)^2*(d*x+c)^(1/2)*a*c+7/4*d^2/b/(b*d*x+a*d)^2*(d*x+c)^(1/2)*c^2-15/4*d^3/b^3/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*a+15/4*d^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","B"
1408,1,204,102,0.015000," ","int((d*x+c)^(5/2)/(b*x+a)^4,x)","-\frac{5 \sqrt{d x +c}\, a^{2} d^{5}}{8 \left(b d x +a d \right)^{3} b^{3}}+\frac{5 \sqrt{d x +c}\, a c \,d^{4}}{4 \left(b d x +a d \right)^{3} b^{2}}-\frac{5 \sqrt{d x +c}\, c^{2} d^{3}}{8 \left(b d x +a d \right)^{3} b}-\frac{5 \left(d x +c \right)^{\frac{3}{2}} a \,d^{4}}{3 \left(b d x +a d \right)^{3} b^{2}}+\frac{5 \left(d x +c \right)^{\frac{3}{2}} c \,d^{3}}{3 \left(b d x +a d \right)^{3} b}-\frac{11 \left(d x +c \right)^{\frac{5}{2}} d^{3}}{8 \left(b d x +a d \right)^{3} b}+\frac{5 d^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{8 \sqrt{\left(a d -b c \right) b}\, b^{3}}"," ",0,"-11/8*d^3/(b*d*x+a*d)^3/b*(d*x+c)^(5/2)-5/3*d^4/(b*d*x+a*d)^3/b^2*(d*x+c)^(3/2)*a+5/3*d^3/(b*d*x+a*d)^3/b*(d*x+c)^(3/2)*c-5/8*d^5/(b*d*x+a*d)^3/b^3*(d*x+c)^(1/2)*a^2+5/4*d^4/(b*d*x+a*d)^3/b^2*(d*x+c)^(1/2)*a*c-5/8*d^3/(b*d*x+a*d)^3/b*(d*x+c)^(1/2)*c^2+5/8*d^3/b^3/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)","A"
1409,1,246,134,0.015000," ","int((d*x+c)^(5/2)/(b*x+a)^5,x)","-\frac{5 \sqrt{d x +c}\, a^{2} d^{6}}{64 \left(b d x +a d \right)^{4} b^{3}}+\frac{5 \sqrt{d x +c}\, a c \,d^{5}}{32 \left(b d x +a d \right)^{4} b^{2}}-\frac{5 \sqrt{d x +c}\, c^{2} d^{4}}{64 \left(b d x +a d \right)^{4} b}-\frac{55 \left(d x +c \right)^{\frac{3}{2}} a \,d^{5}}{192 \left(b d x +a d \right)^{4} b^{2}}+\frac{55 \left(d x +c \right)^{\frac{3}{2}} c \,d^{4}}{192 \left(b d x +a d \right)^{4} b}+\frac{5 \left(d x +c \right)^{\frac{7}{2}} d^{4}}{64 \left(b d x +a d \right)^{4} \left(a d -b c \right)}-\frac{73 \left(d x +c \right)^{\frac{5}{2}} d^{4}}{192 \left(b d x +a d \right)^{4} b}+\frac{5 d^{4} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{64 \left(a d -b c \right) \sqrt{\left(a d -b c \right) b}\, b^{3}}"," ",0,"5/64*d^4/(b*d*x+a*d)^4/(a*d-b*c)*(d*x+c)^(7/2)-73/192*d^4/(b*d*x+a*d)^4/b*(d*x+c)^(5/2)-55/192*d^5/(b*d*x+a*d)^4/b^2*(d*x+c)^(3/2)*a+55/192*d^4/(b*d*x+a*d)^4/b*(d*x+c)^(3/2)*c-5/64*d^6/(b*d*x+a*d)^4/b^3*(d*x+c)^(1/2)*a^2+5/32*d^5/(b*d*x+a*d)^4/b^2*(d*x+c)^(1/2)*a*c-5/64*d^4/(b*d*x+a*d)^4/b*(d*x+c)^(1/2)*c^2+5/64*d^4/(a*d-b*c)/b^3/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)","A"
1410,1,305,166,0.018000," ","int((d*x+c)^(5/2)/(b*x+a)^6,x)","-\frac{3 \sqrt{d x +c}\, a^{2} d^{7}}{128 \left(b d x +a d \right)^{5} b^{3}}+\frac{3 \sqrt{d x +c}\, a c \,d^{6}}{64 \left(b d x +a d \right)^{5} b^{2}}+\frac{3 \left(d x +c \right)^{\frac{9}{2}} b \,d^{5}}{128 \left(b d x +a d \right)^{5} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}-\frac{3 \sqrt{d x +c}\, c^{2} d^{5}}{128 \left(b d x +a d \right)^{5} b}-\frac{7 \left(d x +c \right)^{\frac{3}{2}} a \,d^{6}}{64 \left(b d x +a d \right)^{5} b^{2}}+\frac{7 \left(d x +c \right)^{\frac{3}{2}} c \,d^{5}}{64 \left(b d x +a d \right)^{5} b}+\frac{7 \left(d x +c \right)^{\frac{7}{2}} d^{5}}{64 \left(b d x +a d \right)^{5} \left(a d -b c \right)}-\frac{\left(d x +c \right)^{\frac{5}{2}} d^{5}}{5 \left(b d x +a d \right)^{5} b}+\frac{3 d^{5} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{128 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) \sqrt{\left(a d -b c \right) b}\, b^{3}}"," ",0,"3/128*d^5/(b*d*x+a*d)^5*b/(a^2*d^2-2*a*b*c*d+b^2*c^2)*(d*x+c)^(9/2)+7/64*d^5/(b*d*x+a*d)^5/(a*d-b*c)*(d*x+c)^(7/2)-1/5*d^5/(b*d*x+a*d)^5/b*(d*x+c)^(5/2)-7/64*d^6/(b*d*x+a*d)^5/b^2*(d*x+c)^(3/2)*a+7/64*d^5/(b*d*x+a*d)^5/b*(d*x+c)^(3/2)*c-3/128*d^7/(b*d*x+a*d)^5/b^3*(d*x+c)^(1/2)*a^2+3/64*d^6/(b*d*x+a*d)^5/b^2*(d*x+c)^(1/2)*a*c-3/128*d^5/(b*d*x+a*d)^5/b*(d*x+c)^(1/2)*c^2+3/128*d^5/b^3/(a^2*d^2-2*a*b*c*d+b^2*c^2)/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)","A"
1411,1,30,29,0.010000," ","int((x-1)^(1/2)/(x+1)^2,x)","\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{x -1}\, \sqrt{2}}{2}\right)}{2}-\frac{\sqrt{x -1}}{x +1}"," ",0,"1/2*arctan(1/2*(x-1)^(1/2)*2^(1/2))*2^(1/2)-(x-1)^(1/2)/(x+1)","A"
1412,1,40,41,0.010000," ","int((x-1)^(1/2)/(x+1)^3,x)","\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{x -1}\, \sqrt{2}}{2}\right)}{16}+\frac{\frac{\left(x -1\right)^{\frac{3}{2}}}{8}-\frac{\sqrt{x -1}}{4}}{\left(x +1\right)^{2}}"," ",0,"2*(1/16*(x-1)^(3/2)-1/8*(x-1)^(1/2))/(x+1)^2+1/16*2^(1/2)*arctan(1/2*(x-1)^(1/2)*2^(1/2))","A"
1413,1,273,134,0.007000," ","int((b*x+a)^5/(d*x+c)^(1/2),x)","\frac{2 \sqrt{d x +c}\, \left(63 b^{5} x^{5} d^{5}+385 a \,b^{4} d^{5} x^{4}-70 b^{5} c \,d^{4} x^{4}+990 a^{2} b^{3} d^{5} x^{3}-440 a \,b^{4} c \,d^{4} x^{3}+80 b^{5} c^{2} d^{3} x^{3}+1386 a^{3} b^{2} d^{5} x^{2}-1188 a^{2} b^{3} c \,d^{4} x^{2}+528 a \,b^{4} c^{2} d^{3} x^{2}-96 b^{5} c^{3} d^{2} x^{2}+1155 a^{4} b \,d^{5} x -1848 a^{3} b^{2} c \,d^{4} x +1584 a^{2} b^{3} c^{2} d^{3} x -704 a \,b^{4} c^{3} d^{2} x +128 b^{5} c^{4} d x +693 a^{5} d^{5}-2310 a^{4} b c \,d^{4}+3696 a^{3} b^{2} c^{2} d^{3}-3168 a^{2} b^{3} c^{3} d^{2}+1408 a \,b^{4} c^{4} d -256 b^{5} c^{5}\right)}{693 d^{6}}"," ",0,"2/693*(d*x+c)^(1/2)*(63*b^5*d^5*x^5+385*a*b^4*d^5*x^4-70*b^5*c*d^4*x^4+990*a^2*b^3*d^5*x^3-440*a*b^4*c*d^4*x^3+80*b^5*c^2*d^3*x^3+1386*a^3*b^2*d^5*x^2-1188*a^2*b^3*c*d^4*x^2+528*a*b^4*c^2*d^3*x^2-96*b^5*c^3*d^2*x^2+1155*a^4*b*d^5*x-1848*a^3*b^2*c*d^4*x+1584*a^2*b^3*c^2*d^3*x-704*a*b^4*c^3*d^2*x+128*b^5*c^4*d*x+693*a^5*d^5-2310*a^4*b*c*d^4+3696*a^3*b^2*c^2*d^3-3168*a^2*b^3*c^3*d^2+1408*a*b^4*c^4*d-256*b^5*c^5)/d^6","B"
1414,1,186,109,0.006000," ","int((b*x+a)^4/(d*x+c)^(1/2),x)","\frac{2 \sqrt{d x +c}\, \left(35 b^{4} x^{4} d^{4}+180 a \,b^{3} d^{4} x^{3}-40 b^{4} c \,d^{3} x^{3}+378 a^{2} b^{2} d^{4} x^{2}-216 a \,b^{3} c \,d^{3} x^{2}+48 b^{4} c^{2} d^{2} x^{2}+420 a^{3} b \,d^{4} x -504 a^{2} b^{2} c \,d^{3} x +288 a \,b^{3} c^{2} d^{2} x -64 b^{4} c^{3} d x +315 a^{4} d^{4}-840 a^{3} b c \,d^{3}+1008 a^{2} b^{2} c^{2} d^{2}-576 a \,b^{3} c^{3} d +128 b^{4} c^{4}\right)}{315 d^{5}}"," ",0,"2/315*(d*x+c)^(1/2)*(35*b^4*d^4*x^4+180*a*b^3*d^4*x^3-40*b^4*c*d^3*x^3+378*a^2*b^2*d^4*x^2-216*a*b^3*c*d^3*x^2+48*b^4*c^2*d^2*x^2+420*a^3*b*d^4*x-504*a^2*b^2*c*d^3*x+288*a*b^3*c^2*d^2*x-64*b^4*c^3*d*x+315*a^4*d^4-840*a^3*b*c*d^3+1008*a^2*b^2*c^2*d^2-576*a*b^3*c^3*d+128*b^4*c^4)/d^5","A"
1415,1,116,84,0.006000," ","int((b*x+a)^3/(d*x+c)^(1/2),x)","\frac{2 \sqrt{d x +c}\, \left(5 b^{3} x^{3} d^{3}+21 a \,b^{2} d^{3} x^{2}-6 b^{3} c \,d^{2} x^{2}+35 a^{2} b \,d^{3} x -28 a \,b^{2} c \,d^{2} x +8 b^{3} c^{2} d x +35 a^{3} d^{3}-70 a^{2} b c \,d^{2}+56 a \,b^{2} c^{2} d -16 b^{3} c^{3}\right)}{35 d^{4}}"," ",0,"2/35*(d*x+c)^(1/2)*(5*b^3*d^3*x^3+21*a*b^2*d^3*x^2-6*b^3*c*d^2*x^2+35*a^2*b*d^3*x-28*a*b^2*c*d^2*x+8*b^3*c^2*d*x+35*a^3*d^3-70*a^2*b*c*d^2+56*a*b^2*c^2*d-16*b^3*c^3)/d^4","A"
1416,1,63,59,0.005000," ","int((b*x+a)^2/(d*x+c)^(1/2),x)","\frac{2 \sqrt{d x +c}\, \left(3 b^{2} x^{2} d^{2}+10 a b \,d^{2} x -4 b^{2} c d x +15 a^{2} d^{2}-20 a b c d +8 b^{2} c^{2}\right)}{15 d^{3}}"," ",0,"2/15*(d*x+c)^(1/2)*(3*b^2*d^2*x^2+10*a*b*d^2*x-4*b^2*c*d*x+15*a^2*d^2-20*a*b*c*d+8*b^2*c^2)/d^3","A"
1417,1,26,34,0.003000," ","int((b*x+a)/(d*x+c)^(1/2),x)","\frac{2 \sqrt{d x +c}\, \left(b d x +3 a d -2 b c \right)}{3 d^{2}}"," ",0,"2/3*(d*x+c)^(1/2)*(b*d*x+3*a*d-2*b*c)/d^2","A"
1418,1,13,12,0.001000," ","int(1/(d*x+c)^(1/2),x)","\frac{2 \sqrt{d x +c}}{d}"," ",0,"2*(d*x+c)^(1/2)/d","A"
1419,1,37,37,0.006000," ","int(1/(b*x+a)/(d*x+c)^(1/2),x)","\frac{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}}"," ",0,"2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)","A"
1420,1,77,64,0.010000," ","int(1/(b*x+a)^2/(d*x+c)^(1/2),x)","\frac{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}}+\frac{\sqrt{d x +c}\, d}{\left(a d -b c \right) \left(b d x +a d \right)}"," ",0,"d*(d*x+c)^(1/2)/(a*d-b*c)/(b*d*x+a*d)+d/(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)","A"
1421,1,115,94,0.009000," ","int(1/(b*x+a)^3/(d*x+c)^(1/2),x)","\frac{3 d^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{4 \left(a d -b c \right)^{2} \sqrt{\left(a d -b c \right) b}}+\frac{\sqrt{d x +c}\, d^{2}}{2 \left(a d -b c \right) \left(b d x +a d \right)^{2}}+\frac{3 \sqrt{d x +c}\, d^{2}}{4 \left(a d -b c \right)^{2} \left(b d x +a d \right)}"," ",0,"1/2*d^2*(d*x+c)^(1/2)/(a*d-b*c)/(b*d*x+a*d)^2+3/4*d^2/(a*d-b*c)^2*(d*x+c)^(1/2)/(b*d*x+a*d)+3/4*d^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)","A"
1422,1,147,123,0.008000," ","int(1/(b*x+a)^4/(d*x+c)^(1/2),x)","\frac{5 d^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{8 \left(a d -b c \right)^{3} \sqrt{\left(a d -b c \right) b}}+\frac{\sqrt{d x +c}\, d^{3}}{3 \left(a d -b c \right) \left(b d x +a d \right)^{3}}+\frac{5 \sqrt{d x +c}\, d^{3}}{12 \left(a d -b c \right)^{2} \left(b d x +a d \right)^{2}}+\frac{5 \sqrt{d x +c}\, d^{3}}{8 \left(a d -b c \right)^{3} \left(b d x +a d \right)}"," ",0,"1/3*d^3*(d*x+c)^(1/2)/(a*d-b*c)/(b*d*x+a*d)^3+5/12*d^3/(a*d-b*c)^2*(d*x+c)^(1/2)/(b*d*x+a*d)^2+5/8*d^3/(a*d-b*c)^3*(d*x+c)^(1/2)/(b*d*x+a*d)+5/8*d^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)","A"
1423,1,179,152,0.010000," ","int(1/(b*x+a)^5/(d*x+c)^(1/2),x)","\frac{35 d^{4} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{64 \left(a d -b c \right)^{4} \sqrt{\left(a d -b c \right) b}}+\frac{\sqrt{d x +c}\, d^{4}}{4 \left(a d -b c \right) \left(b d x +a d \right)^{4}}+\frac{7 \sqrt{d x +c}\, d^{4}}{24 \left(a d -b c \right)^{2} \left(b d x +a d \right)^{3}}+\frac{35 \sqrt{d x +c}\, d^{4}}{96 \left(a d -b c \right)^{3} \left(b d x +a d \right)^{2}}+\frac{35 \sqrt{d x +c}\, d^{4}}{64 \left(a d -b c \right)^{4} \left(b d x +a d \right)}"," ",0,"1/4*d^4*(d*x+c)^(1/2)/(a*d-b*c)/(b*d*x+a*d)^4+7/24*d^4/(a*d-b*c)^2*(d*x+c)^(1/2)/(b*d*x+a*d)^3+35/96*d^4/(a*d-b*c)^3*(d*x+c)^(1/2)/(b*d*x+a*d)^2+35/64*d^4/(a*d-b*c)^4*(d*x+c)^(1/2)/(b*d*x+a*d)+35/64*d^4/(a*d-b*c)^4/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)","A"
1424,1,273,134,0.006000," ","int((b*x+a)^5/(d*x+c)^(3/2),x)","-\frac{2 \left(-7 b^{5} x^{5} d^{5}-45 a \,b^{4} d^{5} x^{4}+10 b^{5} c \,d^{4} x^{4}-126 a^{2} b^{3} d^{5} x^{3}+72 a \,b^{4} c \,d^{4} x^{3}-16 b^{5} c^{2} d^{3} x^{3}-210 a^{3} b^{2} d^{5} x^{2}+252 a^{2} b^{3} c \,d^{4} x^{2}-144 a \,b^{4} c^{2} d^{3} x^{2}+32 b^{5} c^{3} d^{2} x^{2}-315 a^{4} b \,d^{5} x +840 a^{3} b^{2} c \,d^{4} x -1008 a^{2} b^{3} c^{2} d^{3} x +576 a \,b^{4} c^{3} d^{2} x -128 b^{5} c^{4} d x +63 a^{5} d^{5}-630 a^{4} b c \,d^{4}+1680 a^{3} b^{2} c^{2} d^{3}-2016 a^{2} b^{3} c^{3} d^{2}+1152 a \,b^{4} c^{4} d -256 b^{5} c^{5}\right)}{63 \sqrt{d x +c}\, d^{6}}"," ",0,"-2/63/(d*x+c)^(1/2)*(-7*b^5*d^5*x^5-45*a*b^4*d^5*x^4+10*b^5*c*d^4*x^4-126*a^2*b^3*d^5*x^3+72*a*b^4*c*d^4*x^3-16*b^5*c^2*d^3*x^3-210*a^3*b^2*d^5*x^2+252*a^2*b^3*c*d^4*x^2-144*a*b^4*c^2*d^3*x^2+32*b^5*c^3*d^2*x^2-315*a^4*b*d^5*x+840*a^3*b^2*c*d^4*x-1008*a^2*b^3*c^2*d^3*x+576*a*b^4*c^3*d^2*x-128*b^5*c^4*d*x+63*a^5*d^5-630*a^4*b*c*d^4+1680*a^3*b^2*c^2*d^3-2016*a^2*b^3*c^3*d^2+1152*a*b^4*c^4*d-256*b^5*c^5)/d^6","B"
1425,1,186,109,0.007000," ","int((b*x+a)^4/(d*x+c)^(3/2),x)","-\frac{2 \left(-5 b^{4} x^{4} d^{4}-28 a \,b^{3} d^{4} x^{3}+8 b^{4} c \,d^{3} x^{3}-70 a^{2} b^{2} d^{4} x^{2}+56 a \,b^{3} c \,d^{3} x^{2}-16 b^{4} c^{2} d^{2} x^{2}-140 a^{3} b \,d^{4} x +280 a^{2} b^{2} c \,d^{3} x -224 a \,b^{3} c^{2} d^{2} x +64 b^{4} c^{3} d x +35 a^{4} d^{4}-280 a^{3} b c \,d^{3}+560 a^{2} b^{2} c^{2} d^{2}-448 a \,b^{3} c^{3} d +128 b^{4} c^{4}\right)}{35 \sqrt{d x +c}\, d^{5}}"," ",0,"-2/35/(d*x+c)^(1/2)*(-5*b^4*d^4*x^4-28*a*b^3*d^4*x^3+8*b^4*c*d^3*x^3-70*a^2*b^2*d^4*x^2+56*a*b^3*c*d^3*x^2-16*b^4*c^2*d^2*x^2-140*a^3*b*d^4*x+280*a^2*b^2*c*d^3*x-224*a*b^3*c^2*d^2*x+64*b^4*c^3*d*x+35*a^4*d^4-280*a^3*b*c*d^3+560*a^2*b^2*c^2*d^2-448*a*b^3*c^3*d+128*b^4*c^4)/d^5","A"
1426,1,116,84,0.006000," ","int((b*x+a)^3/(d*x+c)^(3/2),x)","-\frac{2 \left(-b^{3} x^{3} d^{3}-5 a \,b^{2} d^{3} x^{2}+2 b^{3} c \,d^{2} x^{2}-15 a^{2} b \,d^{3} x +20 a \,b^{2} c \,d^{2} x -8 b^{3} c^{2} d x +5 a^{3} d^{3}-30 a^{2} b c \,d^{2}+40 a \,b^{2} c^{2} d -16 b^{3} c^{3}\right)}{5 \sqrt{d x +c}\, d^{4}}"," ",0,"-2/5/(d*x+c)^(1/2)*(-b^3*d^3*x^3-5*a*b^2*d^3*x^2+2*b^3*c*d^2*x^2-15*a^2*b*d^3*x+20*a*b^2*c*d^2*x-8*b^3*c^2*d*x+5*a^3*d^3-30*a^2*b*c*d^2+40*a*b^2*c^2*d-16*b^3*c^3)/d^4","A"
1427,1,63,59,0.005000," ","int((b*x+a)^2/(d*x+c)^(3/2),x)","-\frac{2 \left(-b^{2} x^{2} d^{2}-6 a b \,d^{2} x +4 b^{2} c d x +3 a^{2} d^{2}-12 a b c d +8 b^{2} c^{2}\right)}{3 \sqrt{d x +c}\, d^{3}}"," ",0,"-2/3/(d*x+c)^(1/2)*(-b^2*d^2*x^2-6*a*b*d^2*x+4*b^2*c*d*x+3*a^2*d^2-12*a*b*c*d+8*b^2*c^2)/d^3","A"
1428,1,26,34,0.003000," ","int((b*x+a)/(d*x+c)^(3/2),x)","-\frac{2 \left(-b d x +a d -2 b c \right)}{\sqrt{d x +c}\, d^{2}}"," ",0,"-2/(d*x+c)^(1/2)*(-b*d*x+a*d-2*b*c)/d^2","A"
1429,1,13,12,0.003000," ","int(1/(d*x+c)^(3/2),x)","-\frac{2}{\sqrt{d x +c}\, d}"," ",0,"-2/d/(d*x+c)^(1/2)","A"
1430,1,68,57,0.010000," ","int(1/(b*x+a)/(d*x+c)^(3/2),x)","-\frac{2 b \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}}-\frac{2}{\left(a d -b c \right) \sqrt{d x +c}}"," ",0,"-2/(a*d-b*c)/(d*x+c)^(1/2)-2*b/(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)","A"
1431,1,101,85,0.014000," ","int(1/(b*x+a)^2/(d*x+c)^(3/2),x)","-\frac{3 b 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}}-\frac{\sqrt{d x +c}\, b d}{\left(a d -b c \right)^{2} \left(b d x +a d \right)}-\frac{2 d}{\left(a d -b c \right)^{2} \sqrt{d x +c}}"," ",0,"-2*d/(a*d-b*c)^2/(d*x+c)^(1/2)-d*b/(a*d-b*c)^2*(d*x+c)^(1/2)/(b*d*x+a*d)-3*d*b/(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)","A"
1432,1,179,116,0.018000," ","int(1/(b*x+a)^3/(d*x+c)^(3/2),x)","-\frac{9 \sqrt{d x +c}\, a b \,d^{3}}{4 \left(a d -b c \right)^{3} \left(b d x +a d \right)^{2}}+\frac{9 \sqrt{d x +c}\, b^{2} c \,d^{2}}{4 \left(a d -b c \right)^{3} \left(b d x +a d \right)^{2}}-\frac{7 \left(d x +c \right)^{\frac{3}{2}} b^{2} d^{2}}{4 \left(a d -b c \right)^{3} \left(b d x +a d \right)^{2}}-\frac{15 b \,d^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{4 \left(a d -b c \right)^{3} \sqrt{\left(a d -b c \right) b}}-\frac{2 d^{2}}{\left(a d -b c \right)^{3} \sqrt{d x +c}}"," ",0,"-2*d^2/(a*d-b*c)^3/(d*x+c)^(1/2)-7/4*d^2*b^2/(a*d-b*c)^3/(b*d*x+a*d)^2*(d*x+c)^(3/2)-9/4*d^3*b/(a*d-b*c)^3/(b*d*x+a*d)^2*(d*x+c)^(1/2)*a+9/4*d^2*b^2/(a*d-b*c)^3/(b*d*x+a*d)^2*(d*x+c)^(1/2)*c-15/4*d^2*b/(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)","A"
1433,1,292,145,0.022000," ","int(1/(b*x+a)^4/(d*x+c)^(3/2),x)","-\frac{29 \sqrt{d x +c}\, a^{2} b \,d^{5}}{8 \left(a d -b c \right)^{4} \left(b d x +a d \right)^{3}}+\frac{29 \sqrt{d x +c}\, a \,b^{2} c \,d^{4}}{4 \left(a d -b c \right)^{4} \left(b d x +a d \right)^{3}}-\frac{29 \sqrt{d x +c}\, b^{3} c^{2} d^{3}}{8 \left(a d -b c \right)^{4} \left(b d x +a d \right)^{3}}-\frac{17 \left(d x +c \right)^{\frac{3}{2}} a \,b^{2} d^{4}}{3 \left(a d -b c \right)^{4} \left(b d x +a d \right)^{3}}+\frac{17 \left(d x +c \right)^{\frac{3}{2}} b^{3} c \,d^{3}}{3 \left(a d -b c \right)^{4} \left(b d x +a d \right)^{3}}-\frac{19 \left(d x +c \right)^{\frac{5}{2}} b^{3} d^{3}}{8 \left(a d -b c \right)^{4} \left(b d x +a d \right)^{3}}-\frac{35 b \,d^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{8 \left(a d -b c \right)^{4} \sqrt{\left(a d -b c \right) b}}-\frac{2 d^{3}}{\left(a d -b c \right)^{4} \sqrt{d x +c}}"," ",0,"-2*d^3/(a*d-b*c)^4/(d*x+c)^(1/2)-19/8*d^3/(a*d-b*c)^4*b^3/(b*d*x+a*d)^3*(d*x+c)^(5/2)-17/3*d^4/(a*d-b*c)^4*b^2/(b*d*x+a*d)^3*(d*x+c)^(3/2)*a+17/3*d^3/(a*d-b*c)^4*b^3/(b*d*x+a*d)^3*(d*x+c)^(3/2)*c-29/8*d^5/(a*d-b*c)^4*b/(b*d*x+a*d)^3*(d*x+c)^(1/2)*a^2+29/4*d^4/(a*d-b*c)^4*b^2/(b*d*x+a*d)^3*(d*x+c)^(1/2)*a*c-29/8*d^3/(a*d-b*c)^4*b^3/(b*d*x+a*d)^3*(d*x+c)^(1/2)*c^2-35/8*d^3/(a*d-b*c)^4*b/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)","B"
1434,1,273,134,0.007000," ","int((b*x+a)^5/(d*x+c)^(5/2),x)","-\frac{2 \left(-3 b^{5} x^{5} d^{5}-21 a \,b^{4} d^{5} x^{4}+6 b^{5} c \,d^{4} x^{4}-70 a^{2} b^{3} d^{5} x^{3}+56 a \,b^{4} c \,d^{4} x^{3}-16 b^{5} c^{2} d^{3} x^{3}-210 a^{3} b^{2} d^{5} x^{2}+420 a^{2} b^{3} c \,d^{4} x^{2}-336 a \,b^{4} c^{2} d^{3} x^{2}+96 b^{5} c^{3} d^{2} x^{2}+105 a^{4} b \,d^{5} x -840 a^{3} b^{2} c \,d^{4} x +1680 a^{2} b^{3} c^{2} d^{3} x -1344 a \,b^{4} c^{3} d^{2} x +384 b^{5} c^{4} d x +7 a^{5} d^{5}+70 a^{4} b c \,d^{4}-560 a^{3} b^{2} c^{2} d^{3}+1120 a^{2} b^{3} c^{3} d^{2}-896 a \,b^{4} c^{4} d +256 b^{5} c^{5}\right)}{21 \left(d x +c \right)^{\frac{3}{2}} d^{6}}"," ",0,"-2/21/(d*x+c)^(3/2)*(-3*b^5*d^5*x^5-21*a*b^4*d^5*x^4+6*b^5*c*d^4*x^4-70*a^2*b^3*d^5*x^3+56*a*b^4*c*d^4*x^3-16*b^5*c^2*d^3*x^3-210*a^3*b^2*d^5*x^2+420*a^2*b^3*c*d^4*x^2-336*a*b^4*c^2*d^3*x^2+96*b^5*c^3*d^2*x^2+105*a^4*b*d^5*x-840*a^3*b^2*c*d^4*x+1680*a^2*b^3*c^2*d^3*x-1344*a*b^4*c^3*d^2*x+384*b^5*c^4*d*x+7*a^5*d^5+70*a^4*b*c*d^4-560*a^3*b^2*c^2*d^3+1120*a^2*b^3*c^3*d^2-896*a*b^4*c^4*d+256*b^5*c^5)/d^6","B"
1435,1,186,109,0.007000," ","int((b*x+a)^4/(d*x+c)^(5/2),x)","-\frac{2 \left(-3 b^{4} x^{4} d^{4}-20 a \,b^{3} d^{4} x^{3}+8 b^{4} c \,d^{3} x^{3}-90 a^{2} b^{2} d^{4} x^{2}+120 a \,b^{3} c \,d^{3} x^{2}-48 b^{4} c^{2} d^{2} x^{2}+60 a^{3} b \,d^{4} x -360 a^{2} b^{2} c \,d^{3} x +480 a \,b^{3} c^{2} d^{2} x -192 b^{4} c^{3} d x +5 a^{4} d^{4}+40 a^{3} b c \,d^{3}-240 a^{2} b^{2} c^{2} d^{2}+320 a \,b^{3} c^{3} d -128 b^{4} c^{4}\right)}{15 \left(d x +c \right)^{\frac{3}{2}} d^{5}}"," ",0,"-2/15/(d*x+c)^(3/2)*(-3*b^4*d^4*x^4-20*a*b^3*d^4*x^3+8*b^4*c*d^3*x^3-90*a^2*b^2*d^4*x^2+120*a*b^3*c*d^3*x^2-48*b^4*c^2*d^2*x^2+60*a^3*b*d^4*x-360*a^2*b^2*c*d^3*x+480*a*b^3*c^2*d^2*x-192*b^4*c^3*d*x+5*a^4*d^4+40*a^3*b*c*d^3-240*a^2*b^2*c^2*d^2+320*a*b^3*c^3*d-128*b^4*c^4)/d^5","A"
1436,1,115,84,0.007000," ","int((b*x+a)^3/(d*x+c)^(5/2),x)","-\frac{2 \left(-b^{3} x^{3} d^{3}-9 a \,b^{2} d^{3} x^{2}+6 b^{3} c \,d^{2} x^{2}+9 a^{2} b \,d^{3} x -36 a \,b^{2} c \,d^{2} x +24 b^{3} c^{2} d x +a^{3} d^{3}+6 a^{2} b c \,d^{2}-24 a \,b^{2} c^{2} d +16 b^{3} c^{3}\right)}{3 \left(d x +c \right)^{\frac{3}{2}} d^{4}}"," ",0,"-2/3/(d*x+c)^(3/2)*(-b^3*d^3*x^3-9*a*b^2*d^3*x^2+6*b^3*c*d^2*x^2+9*a^2*b*d^3*x-36*a*b^2*c*d^2*x+24*b^3*c^2*d*x+a^3*d^3+6*a^2*b*c*d^2-24*a*b^2*c^2*d+16*b^3*c^3)/d^4","A"
1437,1,62,59,0.007000," ","int((b*x+a)^2/(d*x+c)^(5/2),x)","-\frac{2 \left(-3 b^{2} x^{2} d^{2}+6 a b \,d^{2} x -12 b^{2} c d x +a^{2} d^{2}+4 a b c d -8 b^{2} c^{2}\right)}{3 \left(d x +c \right)^{\frac{3}{2}} d^{3}}"," ",0,"-2/3/(d*x+c)^(3/2)*(-3*b^2*d^2*x^2+6*a*b*d^2*x-12*b^2*c*d*x+a^2*d^2+4*a*b*c*d-8*b^2*c^2)/d^3","A"
1438,1,26,34,0.003000," ","int((b*x+a)/(d*x+c)^(5/2),x)","-\frac{2 \left(3 b d x +a d +2 b c \right)}{3 \left(d x +c \right)^{\frac{3}{2}} d^{2}}"," ",0,"-2/3/(d*x+c)^(3/2)*(3*b*d*x+a*d+2*b*c)/d^2","A"
1439,1,13,12,0.004000," ","int(1/(d*x+c)^(5/2),x)","-\frac{2}{3 \left(d x +c \right)^{\frac{3}{2}} d}"," ",0,"-2/3/d/(d*x+c)^(3/2)","A"
1440,1,90,77,0.013000," ","int(1/(b*x+a)/(d*x+c)^(5/2),x)","\frac{2 b^{2} \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}}+\frac{2 b}{\left(a d -b c \right)^{2} \sqrt{d x +c}}-\frac{2}{3 \left(a d -b c \right) \left(d x +c \right)^{\frac{3}{2}}}"," ",0,"-2/3/(a*d-b*c)/(d*x+c)^(3/2)+2*b/(a*d-b*c)^2/(d*x+c)^(1/2)+2*b^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)","A"
1441,1,125,106,0.017000," ","int(1/(b*x+a)^2/(d*x+c)^(5/2),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)^{3} \sqrt{\left(a d -b c \right) b}}+\frac{\sqrt{d x +c}\, b^{2} d}{\left(a d -b c \right)^{3} \left(b d x +a d \right)}+\frac{4 b d}{\left(a d -b c \right)^{3} \sqrt{d x +c}}-\frac{2 d}{3 \left(a d -b c \right)^{2} \left(d x +c \right)^{\frac{3}{2}}}"," ",0,"-2/3*d/(a*d-b*c)^2/(d*x+c)^(3/2)+4*d/(a*d-b*c)^3*b/(d*x+c)^(1/2)+d*b^2/(a*d-b*c)^3*(d*x+c)^(1/2)/(b*d*x+a*d)+5*d*b^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)","A"
1442,1,206,139,0.019000," ","int(1/(b*x+a)^3/(d*x+c)^(5/2),x)","\frac{13 \sqrt{d x +c}\, a \,b^{2} d^{3}}{4 \left(a d -b c \right)^{4} \left(b d x +a d \right)^{2}}-\frac{13 \sqrt{d x +c}\, b^{3} c \,d^{2}}{4 \left(a d -b c \right)^{4} \left(b d x +a d \right)^{2}}+\frac{11 \left(d x +c \right)^{\frac{3}{2}} b^{3} d^{2}}{4 \left(a d -b c \right)^{4} \left(b d x +a d \right)^{2}}+\frac{35 b^{2} d^{2} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{4 \left(a d -b c \right)^{4} \sqrt{\left(a d -b c \right) b}}+\frac{6 b \,d^{2}}{\left(a d -b c \right)^{4} \sqrt{d x +c}}-\frac{2 d^{2}}{3 \left(a d -b c \right)^{3} \left(d x +c \right)^{\frac{3}{2}}}"," ",0,"-2/3*d^2/(a*d-b*c)^3/(d*x+c)^(3/2)+6*d^2/(a*d-b*c)^4*b/(d*x+c)^(1/2)+11/4*d^2/(a*d-b*c)^4*b^3/(b*d*x+a*d)^2*(d*x+c)^(3/2)+13/4*d^3/(a*d-b*c)^4*b^2/(b*d*x+a*d)^2*(d*x+c)^(1/2)*a-13/4*d^2/(a*d-b*c)^4*b^3/(b*d*x+a*d)^2*(d*x+c)^(1/2)*c+35/4*d^2/(a*d-b*c)^4*b^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)","A"
1443,1,319,168,0.023000," ","int(1/(b*x+a)^4/(d*x+c)^(5/2),x)","\frac{55 \sqrt{d x +c}\, a^{2} b^{2} d^{5}}{8 \left(a d -b c \right)^{5} \left(b d x +a d \right)^{3}}-\frac{55 \sqrt{d x +c}\, a \,b^{3} c \,d^{4}}{4 \left(a d -b c \right)^{5} \left(b d x +a d \right)^{3}}+\frac{55 \sqrt{d x +c}\, b^{4} c^{2} d^{3}}{8 \left(a d -b c \right)^{5} \left(b d x +a d \right)^{3}}+\frac{35 \left(d x +c \right)^{\frac{3}{2}} a \,b^{3} d^{4}}{3 \left(a d -b c \right)^{5} \left(b d x +a d \right)^{3}}-\frac{35 \left(d x +c \right)^{\frac{3}{2}} b^{4} c \,d^{3}}{3 \left(a d -b c \right)^{5} \left(b d x +a d \right)^{3}}+\frac{41 \left(d x +c \right)^{\frac{5}{2}} b^{4} d^{3}}{8 \left(a d -b c \right)^{5} \left(b d x +a d \right)^{3}}+\frac{105 b^{2} d^{3} \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{8 \left(a d -b c \right)^{5} \sqrt{\left(a d -b c \right) b}}+\frac{8 b \,d^{3}}{\left(a d -b c \right)^{5} \sqrt{d x +c}}-\frac{2 d^{3}}{3 \left(a d -b c \right)^{4} \left(d x +c \right)^{\frac{3}{2}}}"," ",0,"-2/3*d^3/(a*d-b*c)^4/(d*x+c)^(3/2)+8*d^3/(a*d-b*c)^5*b/(d*x+c)^(1/2)+41/8*d^3/(a*d-b*c)^5*b^4/(b*d*x+a*d)^3*(d*x+c)^(5/2)+35/3*d^4/(a*d-b*c)^5*b^3/(b*d*x+a*d)^3*(d*x+c)^(3/2)*a-35/3*d^3/(a*d-b*c)^5*b^4/(b*d*x+a*d)^3*(d*x+c)^(3/2)*c+55/8*d^5/(a*d-b*c)^5*b^2/(b*d*x+a*d)^3*(d*x+c)^(1/2)*a^2-55/4*d^4/(a*d-b*c)^5*b^3/(b*d*x+a*d)^3*(d*x+c)^(1/2)*a*c+55/8*d^3/(a*d-b*c)^5*b^4/(b*d*x+a*d)^3*(d*x+c)^(1/2)*c^2+105/8*d^3/(a*d-b*c)^5*b^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)","A"
1444,1,23,18,0.004000," ","int((b*x+a)^5*(b*c*x+a*c)^(3/2),x)","\frac{2 \left(b x +a \right)^{6} \left(b c x +a c \right)^{\frac{3}{2}}}{15 b}"," ",0,"2/15*(b*x+a)^6*(b*c*x+a*c)^(3/2)/b","A"
1445,1,23,18,0.003000," ","int((b*x+a)^5*(b*c*x+a*c)^(1/2),x)","\frac{2 \left(b x +a \right)^{6} \sqrt{b c x +a c}}{13 b}"," ",0,"2/13*(b*x+a)^6*(b*c*x+a*c)^(1/2)/b","A"
1446,1,23,18,0.003000," ","int((b*x+a)^5/(b*c*x+a*c)^(1/2),x)","\frac{2 \left(b x +a \right)^{6}}{11 \sqrt{b c x +a c}\, b}"," ",0,"2/11*(b*x+a)^6/b/(b*c*x+a*c)^(1/2)","A"
1447,1,23,18,0.003000," ","int((b*x+a)^5/(b*c*x+a*c)^(3/2),x)","\frac{2 \left(b x +a \right)^{6}}{9 \left(b c x +a c \right)^{\frac{3}{2}} b}"," ",0,"2/9*(b*x+a)^6/b/(b*c*x+a*c)^(3/2)","A"
1448,1,23,18,0.002000," ","int((b*x+a)^5/(b*c*x+a*c)^(5/2),x)","\frac{2 \left(b x +a \right)^{6}}{7 \left(b c x +a c \right)^{\frac{5}{2}} b}"," ",0,"2/7*(b*x+a)^6/b/(b*c*x+a*c)^(5/2)","A"
1449,1,23,18,0.004000," ","int((b*x+a)^5/(b*c*x+a*c)^(7/2),x)","\frac{2 \left(b x +a \right)^{6}}{5 \left(b c x +a c \right)^{\frac{7}{2}} b}"," ",0,"2/5*(b*x+a)^6/b/(b*c*x+a*c)^(7/2)","A"
1450,1,23,18,0.003000," ","int((b*x+a)^5/(b*c*x+a*c)^(9/2),x)","\frac{2 \left(b x +a \right)^{6}}{3 \left(b c x +a c \right)^{\frac{9}{2}} b}"," ",0,"2/3*(b*x+a)^6/b/(b*c*x+a*c)^(9/2)","A"
1451,1,23,18,0.003000," ","int((b*x+a)^5/(b*c*x+a*c)^(11/2),x)","\frac{2 \left(b x +a \right)^{6}}{\left(b c x +a c \right)^{\frac{11}{2}} b}"," ",0,"2*(b*x+a)^6/b/(b*c*x+a*c)^(11/2)","A"
1452,1,23,18,0.002000," ","int((b*x+a)^5/(b*c*x+a*c)^(13/2),x)","-\frac{2 \left(b x +a \right)^{6}}{\left(b c x +a c \right)^{\frac{13}{2}} b}"," ",0,"-2*(b*x+a)^6/b/(b*c*x+a*c)^(13/2)","A"
1453,1,22,10,0.008000," ","int(1/(x-2)/(x+2)^(1/2),x)","\frac{\ln \left(\sqrt{x +2}-2\right)}{2}-\frac{\ln \left(\sqrt{x +2}+2\right)}{2}"," ",0,"1/2*ln((x+2)^(1/2)-2)-1/2*ln((x+2)^(1/2)+2)","B"
1454,1,19,18,0.006000," ","int(1/(3*x+2)/(1+5*x)^(1/2),x)","\frac{2 \sqrt{21}\, \arctan \left(\frac{\sqrt{21}\, \sqrt{5 x +1}}{7}\right)}{21}"," ",0,"2/21*arctan(1/7*21^(1/2)*(1+5*x)^(1/2))*21^(1/2)","A"
1455,1,84,65,0.006000," ","int((-x+1)^(1/3)/(x+1),x)","-2^{\frac{1}{3}} \sqrt{3}\, \arctan \left(\frac{\left(1+2^{\frac{2}{3}} \left(-x +1\right)^{\frac{1}{3}}\right) \sqrt{3}}{3}\right)+2^{\frac{1}{3}} \ln \left(\left(-x +1\right)^{\frac{1}{3}}-2^{\frac{1}{3}}\right)-\frac{2^{\frac{1}{3}} \ln \left(\left(-x +1\right)^{\frac{2}{3}}+2^{\frac{1}{3}} \left(-x +1\right)^{\frac{1}{3}}+2^{\frac{2}{3}}\right)}{2}+3 \left(-x +1\right)^{\frac{1}{3}}"," ",0,"3*(-x+1)^(1/3)+2^(1/3)*ln((-x+1)^(1/3)-2^(1/3))-1/2*2^(1/3)*ln((-x+1)^(2/3)+2^(1/3)*(-x+1)^(1/3)+2^(2/3))-2^(1/3)*arctan(1/3*(1+2^(2/3)*(-x+1)^(1/3))*3^(1/2))*3^(1/2)","A"
1456,1,15,19,0.003000," ","int((3-2*x)^(1/3)*(7+x),x)","-\frac{3 \left(8 x +107\right) \left(-2 x +3\right)^{\frac{4}{3}}}{112}"," ",0,"-3/112*(8*x+107)*(3-2*x)^(4/3)","A"
1457,1,20,28,0.003000," ","int((-x+1)^(1/3)*(x+1)^2,x)","-\frac{3 \left(7 x^{2}+26 x +37\right) \left(-x +1\right)^{\frac{4}{3}}}{70}"," ",0,"-3/70*(7*x^2+26*x+37)*(-x+1)^(4/3)","A"
1458,1,161,108,0.008000," ","int(1/(b*x+a)/(d*x+c)^(1/3),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(d x +c \right)^{\frac{1}{3}}}{\left(\frac{a d -b c}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{\left(\frac{a d -b c}{b}\right)^{\frac{1}{3}} b}-\frac{\ln \left(\left(d x +c \right)^{\frac{1}{3}}+\left(\frac{a d -b c}{b}\right)^{\frac{1}{3}}\right)}{\left(\frac{a d -b c}{b}\right)^{\frac{1}{3}} b}+\frac{\ln \left(\left(d x +c \right)^{\frac{2}{3}}-\left(\frac{a d -b c}{b}\right)^{\frac{1}{3}} \left(d x +c \right)^{\frac{1}{3}}+\left(\frac{a d -b c}{b}\right)^{\frac{2}{3}}\right)}{2 \left(\frac{a d -b c}{b}\right)^{\frac{1}{3}} b}"," ",0,"-1/b/((a*d-b*c)/b)^(1/3)*ln((d*x+c)^(1/3)+((a*d-b*c)/b)^(1/3))+1/2/b/((a*d-b*c)/b)^(1/3)*ln((d*x+c)^(2/3)-((a*d-b*c)/b)^(1/3)*(d*x+c)^(1/3)+((a*d-b*c)/b)^(2/3))+3^(1/2)/b/((a*d-b*c)/b)^(1/3)*arctan(1/3*3^(1/2)*(2/((a*d-b*c)/b)^(1/3)*(d*x+c)^(1/3)-1))","A"
1459,1,160,109,0.007000," ","int(1/(b*x+a)/(d*x+c)^(2/3),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(d x +c \right)^{\frac{1}{3}}}{\left(\frac{a d -b c}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{\left(\frac{a d -b c}{b}\right)^{\frac{2}{3}} b}+\frac{\ln \left(\left(d x +c \right)^{\frac{1}{3}}+\left(\frac{a d -b c}{b}\right)^{\frac{1}{3}}\right)}{\left(\frac{a d -b c}{b}\right)^{\frac{2}{3}} b}-\frac{\ln \left(\left(d x +c \right)^{\frac{2}{3}}-\left(\frac{a d -b c}{b}\right)^{\frac{1}{3}} \left(d x +c \right)^{\frac{1}{3}}+\left(\frac{a d -b c}{b}\right)^{\frac{2}{3}}\right)}{2 \left(\frac{a d -b c}{b}\right)^{\frac{2}{3}} b}"," ",0,"1/b/((a*d-b*c)/b)^(2/3)*ln((d*x+c)^(1/3)+((a*d-b*c)/b)^(1/3))-1/2/b/((a*d-b*c)/b)^(2/3)*ln((d*x+c)^(2/3)-((a*d-b*c)/b)^(1/3)*(d*x+c)^(1/3)+((a*d-b*c)/b)^(2/3))+1/b/((a*d-b*c)/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/((a*d-b*c)/b)^(1/3)*(d*x+c)^(1/3)-1))","A"
1460,1,858,186,0.012000," ","int((b*x+a)^(7/2)*(d*x+c)^(1/2),x)","-\frac{7 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{5} 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{35 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{4} 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)}{256 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}}-\frac{35 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} 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)}{128 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, d}+\frac{35 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} 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)}{128 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, d^{2}}-\frac{35 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,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)}{256 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, d^{3}}+\frac{7 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{4} 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^{4}}+\frac{7 \sqrt{d x +c}\, \sqrt{b x +a}\, a^{4}}{128 b}-\frac{7 \sqrt{d x +c}\, \sqrt{b x +a}\, a^{3} c}{32 d}+\frac{21 \sqrt{d x +c}\, \sqrt{b x +a}\, a^{2} b \,c^{2}}{64 d^{2}}-\frac{7 \sqrt{d x +c}\, \sqrt{b x +a}\, a \,b^{2} c^{3}}{32 d^{3}}+\frac{7 \sqrt{d x +c}\, \sqrt{b x +a}\, b^{3} c^{4}}{128 d^{4}}+\frac{7 \sqrt{b x +a}\, \left(d x +c \right)^{\frac{3}{2}} a^{3}}{64 d}-\frac{21 \sqrt{b x +a}\, \left(d x +c \right)^{\frac{3}{2}} a^{2} b c}{64 d^{2}}+\frac{21 \sqrt{b x +a}\, \left(d x +c \right)^{\frac{3}{2}} a \,b^{2} c^{2}}{64 d^{3}}-\frac{7 \sqrt{b x +a}\, \left(d x +c \right)^{\frac{3}{2}} b^{3} c^{3}}{64 d^{4}}+\frac{7 \left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{3}{2}} a^{2}}{48 d}-\frac{7 \left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{3}{2}} a b c}{24 d^{2}}+\frac{7 \left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{3}{2}} b^{2} c^{2}}{48 d^{3}}+\frac{7 \left(b x +a \right)^{\frac{5}{2}} \left(d x +c \right)^{\frac{3}{2}} a}{40 d}-\frac{7 \left(b x +a \right)^{\frac{5}{2}} \left(d x +c \right)^{\frac{3}{2}} b c}{40 d^{2}}+\frac{\left(b x +a \right)^{\frac{7}{2}} \left(d x +c \right)^{\frac{3}{2}}}{5 d}"," ",0,"1/5/d*(b*x+a)^(7/2)*(d*x+c)^(3/2)+7/40/d*(b*x+a)^(5/2)*(d*x+c)^(3/2)*a+7/48/d*(b*x+a)^(3/2)*(d*x+c)^(3/2)*a^2+7/64/d*(b*x+a)^(1/2)*(d*x+c)^(3/2)*a^3+21/64/d^3*(b*x+a)^(1/2)*(d*x+c)^(3/2)*a*b^2*c^2+21/64/d^2*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^2*c^2*b-7/32/d^3*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a*c^3*b^2-21/64/d^2*(b*x+a)^(1/2)*(d*x+c)^(3/2)*a^2*b*c-7/24/d^2*(b*x+a)^(3/2)*(d*x+c)^(3/2)*a*b*c-7/40/d^2*(b*x+a)^(5/2)*(d*x+c)^(3/2)*b*c+7/48/d^3*(b*x+a)^(3/2)*(d*x+c)^(3/2)*b^2*c^2-7/64/d^4*(b*x+a)^(1/2)*(d*x+c)^(3/2)*b^3*c^3+7/128/b*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^4-7/32/d*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^3*c+7/128/d^4*(d*x+c)^(1/2)*(b*x+a)^(1/2)*c^4*b^3+35/256*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((1/2*a*d+1/2*b*c+b*d*x)/(b*d)^(1/2)+(d*x^2*b+(a*d+b*c)*x+a*c)^(1/2))/(b*d)^(1/2)*a^4*c+35/128/d^2*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((1/2*a*d+1/2*b*c+b*d*x)/(b*d)^(1/2)+(d*x^2*b+(a*d+b*c)*x+a*c)^(1/2))/(b*d)^(1/2)*a^2*c^3*b^2-35/256/d^3*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((1/2*a*d+1/2*b*c+b*d*x)/(b*d)^(1/2)+(d*x^2*b+(a*d+b*c)*x+a*c)^(1/2))/(b*d)^(1/2)*a*c^4*b^3-7/256*d/b*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((1/2*a*d+1/2*b*c+b*d*x)/(b*d)^(1/2)+(d*x^2*b+(a*d+b*c)*x+a*c)^(1/2))/(b*d)^(1/2)*a^5-35/128/d*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((1/2*a*d+1/2*b*c+b*d*x)/(b*d)^(1/2)+(d*x^2*b+(a*d+b*c)*x+a*c)^(1/2))/(b*d)^(1/2)*a^3*c^2*b+7/256/d^4*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((1/2*a*d+1/2*b*c+b*d*x)/(b*d)^(1/2)+(d*x^2*b+(a*d+b*c)*x+a*c)^(1/2))/(b*d)^(1/2)*c^5*b^4","B"
1461,1,645,154,0.008000," ","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"
1462,1,460,122,0.008000," ","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"
1463,1,305,90,0.007000," ","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"
1464,1,107,56,0.006000," ","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"
1465,0,0,50,0.082000," ","int((d*x+c)^(1/2)/(b*x+a)^(3/2),x)","\int \frac{\sqrt{d x +c}}{\left(b x +a \right)^{\frac{3}{2}}}\, dx"," ",0,"int((d*x+c)^(1/2)/(b*x+a)^(3/2),x)","F"
1466,1,27,26,0.005000," ","int((d*x+c)^(1/2)/(b*x+a)^(5/2),x)","\frac{2 \left(d x +c \right)^{\frac{3}{2}}}{3 \left(b x +a \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"
1467,1,54,54,0.006000," ","int((d*x+c)^(1/2)/(b*x+a)^(7/2),x)","\frac{2 \left(d x +c \right)^{\frac{3}{2}} \left(2 b d x +5 a d -3 b c \right)}{15 \left(b x +a \right)^{\frac{5}{2}} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}"," ",0,"2/15*(d*x+c)^(3/2)*(2*b*d*x+5*a*d-3*b*c)/(b*x+a)^(5/2)/(a^2*d^2-2*a*b*c*d+b^2*c^2)","A"
1468,1,105,83,0.009000," ","int((d*x+c)^(1/2)/(b*x+a)^(9/2),x)","\frac{2 \left(d x +c \right)^{\frac{3}{2}} \left(8 b^{2} x^{2} d^{2}+28 a b \,d^{2} x -12 b^{2} c d x +35 a^{2} d^{2}-42 a b c d +15 b^{2} c^{2}\right)}{105 \left(b x +a \right)^{\frac{7}{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,"2/105*(d*x+c)^(3/2)*(8*b^2*d^2*x^2+28*a*b*d^2*x-12*b^2*c*d*x+35*a^2*d^2-42*a*b*c*d+15*b^2*c^2)/(b*x+a)^(7/2)/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)","A"
1469,1,171,112,0.011000," ","int((d*x+c)^(1/2)/(b*x+a)^(11/2),x)","\frac{2 \left(d x +c \right)^{\frac{3}{2}} \left(16 b^{3} x^{3} d^{3}+72 a \,b^{2} d^{3} x^{2}-24 b^{3} c \,d^{2} x^{2}+126 a^{2} b \,d^{3} x -108 a \,b^{2} c \,d^{2} x +30 b^{3} c^{2} d x +105 a^{3} d^{3}-189 a^{2} b c \,d^{2}+135 a \,b^{2} c^{2} d -35 b^{3} c^{3}\right)}{315 \left(b x +a \right)^{\frac{9}{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,"2/315*(d*x+c)^(3/2)*(16*b^3*d^3*x^3+72*a*b^2*d^3*x^2-24*b^3*c*d^2*x^2+126*a^2*b*d^3*x-108*a*b^2*c*d^2*x+30*b^3*c^2*d*x+105*a^3*d^3-189*a^2*b*c*d^2+135*a*b^2*c^2*d-35*b^3*c^3)/(b*x+a)^(9/2)/(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"
1470,1,256,141,0.013000," ","int((d*x+c)^(1/2)/(b*x+a)^(13/2),x)","\frac{2 \left(d x +c \right)^{\frac{3}{2}} \left(128 b^{4} x^{4} d^{4}+704 a \,b^{3} d^{4} x^{3}-192 b^{4} c \,d^{3} x^{3}+1584 a^{2} b^{2} d^{4} x^{2}-1056 a \,b^{3} c \,d^{3} x^{2}+240 b^{4} c^{2} d^{2} x^{2}+1848 a^{3} b \,d^{4} x -2376 a^{2} b^{2} c \,d^{3} x +1320 a \,b^{3} c^{2} d^{2} x -280 b^{4} c^{3} d x +1155 a^{4} d^{4}-2772 a^{3} b c \,d^{3}+2970 a^{2} b^{2} c^{2} d^{2}-1540 a \,b^{3} c^{3} d +315 b^{4} c^{4}\right)}{3465 \left(b x +a \right)^{\frac{11}{2}} \left(a^{5} d^{5}-5 a^{4} b c \,d^{4}+10 a^{3} b^{2} c^{2} d^{3}-10 a^{2} b^{3} c^{3} d^{2}+5 a \,b^{4} c^{4} d -b^{5} c^{5}\right)}"," ",0,"2/3465*(d*x+c)^(3/2)*(128*b^4*d^4*x^4+704*a*b^3*d^4*x^3-192*b^4*c*d^3*x^3+1584*a^2*b^2*d^4*x^2-1056*a*b^3*c*d^3*x^2+240*b^4*c^2*d^2*x^2+1848*a^3*b*d^4*x-2376*a^2*b^2*c*d^3*x+1320*a*b^3*c^2*d^2*x-280*b^4*c^3*d*x+1155*a^4*d^4-2772*a^3*b*c*d^3+2970*a^2*b^2*c^2*d^2-1540*a*b^3*c^3*d+315*b^4*c^4)/(b*x+a)^(11/2)/(a^5*d^5-5*a^4*b*c*d^4+10*a^3*b^2*c^2*d^3-10*a^2*b^3*c^3*d^2+5*a*b^4*c^4*d-b^5*c^5)","A"
1471,1,853,183,0.006000," ","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,"1/5/d*(b*x+a)^(5/2)*(d*x+c)^(5/2)+1/8/d*(b*x+a)^(3/2)*(d*x+c)^(5/2)*a+1/16/d*(b*x+a)^(1/2)*(d*x+c)^(5/2)*a^2-1/8/d^2*(b*x+a)^(1/2)*(d*x+c)^(5/2)*a*b*c+3/64/d^2*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a*c^2*b+3/32/b*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^3*c+3/32/d^2*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a*c^3*b-1/8/d^2*(b*x+a)^(3/2)*(d*x+c)^(5/2)*b*c+1/16/d^3*(b*x+a)^(1/2)*(d*x+c)^(5/2)*b^2*c^2+1/64/b*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a^3-3/64/d*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a^2*c-1/64/d^3*(d*x+c)^(3/2)*(b*x+a)^(1/2)*c^3*b^2-3/128*d/b^2*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^4-9/64/d*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^2*c^2-3/128/d^3*(d*x+c)^(1/2)*(b*x+a)^(1/2)*c^4*b^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^3*c^2+15/256/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)*a*c^4*b^2-15/256*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*c+3/256*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^5-15/128/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)*a^2*c^3*b-3/256/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^5*b^3","B"
1472,1,640,151,0.007000," ","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,"1/4/d*(b*x+a)^(3/2)*(d*x+c)^(5/2)+1/8/d*(b*x+a)^(1/2)*(d*x+c)^(5/2)*a-1/8/d^2*(b*x+a)^(1/2)*(d*x+c)^(5/2)*b*c+1/32/b*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a^2-1/16/d*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a*c+1/32/d^2*(d*x+c)^(3/2)*(b*x+a)^(1/2)*c^2*b-3/64*d/b^2*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^3+9/64/b*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^2*c-9/64/d*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a*c^2+3/64/d^2*(d*x+c)^(1/2)*(b*x+a)^(1/2)*c^3*b+3/128*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^4-3/32*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+9/64*((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^2-3/32/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^3*b+3/128/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^4*b^2","B"
1473,1,459,119,0.006000," ","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,"1/3/d*(b*x+a)^(1/2)*(d*x+c)^(5/2)+1/12/b*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a-1/12/d*(d*x+c)^(3/2)*(b*x+a)^(1/2)*c-1/8*d/b^2*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^2+1/4/b*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a*c-1/8/d*(d*x+c)^(1/2)*(b*x+a)^(1/2)*c^2+1/16*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^3-3/16*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^2*c+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*c^2-1/16/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)*c^3*b","B"
1474,1,308,87,0.007000," ","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,"1/2*(d*x+c)^(3/2)*(b*x+a)^(1/2)/b-3/4/b^2*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a*d+3/4/b*(d*x+c)^(1/2)*(b*x+a)^(1/2)*c+3/8/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^2-3/4/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+3/8*((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"
1475,0,0,78,0.079000," ","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"
1476,0,0,70,0.079000," ","int((d*x+c)^(3/2)/(b*x+a)^(5/2),x)","\int \frac{\left(d x +c \right)^{\frac{3}{2}}}{\left(b x +a \right)^{\frac{5}{2}}}\, dx"," ",0,"int((d*x+c)^(3/2)/(b*x+a)^(5/2),x)","F"
1477,1,27,26,0.005000," ","int((d*x+c)^(3/2)/(b*x+a)^(7/2),x)","\frac{2 \left(d x +c \right)^{\frac{5}{2}}}{5 \left(b x +a \right)^{\frac{5}{2}} \left(a d -b c \right)}"," ",0,"2/5/(b*x+a)^(5/2)*(d*x+c)^(5/2)/(a*d-b*c)","A"
1478,1,54,54,0.005000," ","int((d*x+c)^(3/2)/(b*x+a)^(9/2),x)","\frac{2 \left(d x +c \right)^{\frac{5}{2}} \left(2 b d x +7 a d -5 b c \right)}{35 \left(b x +a \right)^{\frac{7}{2}} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}"," ",0,"2/35*(d*x+c)^(5/2)*(2*b*d*x+7*a*d-5*b*c)/(b*x+a)^(7/2)/(a^2*d^2-2*a*b*c*d+b^2*c^2)","A"
1479,1,105,83,0.007000," ","int((d*x+c)^(3/2)/(b*x+a)^(11/2),x)","\frac{2 \left(d x +c \right)^{\frac{5}{2}} \left(8 b^{2} x^{2} d^{2}+36 a b \,d^{2} x -20 b^{2} c d x +63 a^{2} d^{2}-90 a b c d +35 b^{2} c^{2}\right)}{315 \left(b x +a \right)^{\frac{9}{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,"2/315*(d*x+c)^(5/2)*(8*b^2*d^2*x^2+36*a*b*d^2*x-20*b^2*c*d*x+63*a^2*d^2-90*a*b*c*d+35*b^2*c^2)/(b*x+a)^(9/2)/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)","A"
1480,1,171,112,0.011000," ","int((d*x+c)^(3/2)/(b*x+a)^(13/2),x)","\frac{2 \left(d x +c \right)^{\frac{5}{2}} \left(16 b^{3} x^{3} d^{3}+88 a \,b^{2} d^{3} x^{2}-40 b^{3} c \,d^{2} x^{2}+198 a^{2} b \,d^{3} x -220 a \,b^{2} c \,d^{2} x +70 b^{3} c^{2} d x +231 a^{3} d^{3}-495 a^{2} b c \,d^{2}+385 a \,b^{2} c^{2} d -105 b^{3} c^{3}\right)}{1155 \left(b x +a \right)^{\frac{11}{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,"2/1155*(d*x+c)^(5/2)*(16*b^3*d^3*x^3+88*a*b^2*d^3*x^2-40*b^3*c*d^2*x^2+198*a^2*b*d^3*x-220*a*b^2*c*d^2*x+70*b^3*c^2*d*x+231*a^3*d^3-495*a^2*b*c*d^2+385*a*b^2*c^2*d-105*b^3*c^3)/(b*x+a)^(11/2)/(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"
1481,1,1089,212,0.008000," ","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,"1/6/d*(b*x+a)^(5/2)*(d*x+c)^(7/2)+25/256*((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^3-1/16/d^2*(b*x+a)^(1/2)*(d*x+c)^(7/2)*a*b*c+5/192/d^2*(d*x+c)^(3/2)*(b*x+a)^(1/2)*c^3*b*a+25/512/d^2*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a*c^4*b+1/64/d^2*(d*x+c)^(5/2)*(b*x+a)^(1/2)*c^2*b*a-25/512*d/b^2*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^4*c+1/192/b*(d*x+c)^(5/2)*(b*x+a)^(1/2)*a^3+1/12/d*(b*x+a)^(3/2)*(d*x+c)^(7/2)*a+1/32/d*(b*x+a)^(1/2)*(d*x+c)^(7/2)*a^2-1/12/d^2*(b*x+a)^(3/2)*(d*x+c)^(7/2)*b*c-5/128/d*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a^2*c^2-25/256/d*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^2*c^3-5/768/d^3*(d*x+c)^(3/2)*(b*x+a)^(1/2)*c^4*b^2-1/64/d*(d*x+c)^(5/2)*(b*x+a)^(1/2)*a^2*c+25/256/b*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^3*c^2+5/192/b*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a^3*c+5/512*d^2/b^3*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a^5-5/512/d^3*(d*x+c)^(1/2)*(b*x+a)^(1/2)*c^5*b^2-1/192/d^3*(d*x+c)^(5/2)*(b*x+a)^(1/2)*c^3*b^2-5/768*d/b^2*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a^4+1/32/d^3*(b*x+a)^(1/2)*(d*x+c)^(7/2)*b^2*c^2-75/1024*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*c^2+15/512*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^5*c+15/512/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^5*b^2-75/1024/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^4*b-5/1024/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^6*b^3-5/1024*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^6","B"
1482,1,848,180,0.008000," ","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-1/64*d/b^2*(d*x+c)^(3/2)*(b*x+a)^(1/2)*a^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+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+3/128/d^2*(d*x+c)^(1/2)*(b*x+a)^(1/2)*c^4*b-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^2-1/40/d*(d*x+c)^(5/2)*(b*x+a)^(1/2)*a*c+1/80/d^2*(d*x+c)^(5/2)*(b*x+a)^(1/2)*c^2*b+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+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^2-15/256/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"
1483,1,641,148,0.008000," ","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"
1484,1,465,116,0.008000," ","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"
1485,0,0,108,0.083000," ","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"
1486,0,0,100,0.080000," ","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"
1487,0,0,92,0.082000," ","int((d*x+c)^(5/2)/(b*x+a)^(7/2),x)","\int \frac{\left(d x +c \right)^{\frac{5}{2}}}{\left(b x +a \right)^{\frac{7}{2}}}\, dx"," ",0,"int((d*x+c)^(5/2)/(b*x+a)^(7/2),x)","F"
1488,1,27,26,0.003000," ","int((d*x+c)^(5/2)/(b*x+a)^(9/2),x)","\frac{2 \left(d x +c \right)^{\frac{7}{2}}}{7 \left(b x +a \right)^{\frac{7}{2}} \left(a d -b c \right)}"," ",0,"2/7/(b*x+a)^(7/2)*(d*x+c)^(7/2)/(a*d-b*c)","A"
1489,1,54,54,0.005000," ","int((d*x+c)^(5/2)/(b*x+a)^(11/2),x)","\frac{2 \left(d x +c \right)^{\frac{7}{2}} \left(2 b d x +9 a d -7 b c \right)}{63 \left(b x +a \right)^{\frac{9}{2}} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}"," ",0,"2/63*(d*x+c)^(7/2)*(2*b*d*x+9*a*d-7*b*c)/(b*x+a)^(9/2)/(a^2*d^2-2*a*b*c*d+b^2*c^2)","A"
1490,1,105,83,0.007000," ","int((d*x+c)^(5/2)/(b*x+a)^(13/2),x)","\frac{2 \left(d x +c \right)^{\frac{7}{2}} \left(8 b^{2} x^{2} d^{2}+44 a b \,d^{2} x -28 b^{2} c d x +99 a^{2} d^{2}-154 a b c d +63 b^{2} c^{2}\right)}{693 \left(b x +a \right)^{\frac{11}{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,"2/693*(d*x+c)^(7/2)*(8*b^2*d^2*x^2+44*a*b*d^2*x-28*b^2*c*d*x+99*a^2*d^2-154*a*b*c*d+63*b^2*c^2)/(b*x+a)^(11/2)/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)","A"
1491,1,171,112,0.010000," ","int((d*x+c)^(5/2)/(b*x+a)^(15/2),x)","\frac{2 \left(d x +c \right)^{\frac{7}{2}} \left(16 b^{3} x^{3} d^{3}+104 a \,b^{2} d^{3} x^{2}-56 b^{3} c \,d^{2} x^{2}+286 a^{2} b \,d^{3} x -364 a \,b^{2} c \,d^{2} x +126 b^{3} c^{2} d x +429 a^{3} d^{3}-1001 a^{2} b c \,d^{2}+819 a \,b^{2} c^{2} d -231 b^{3} c^{3}\right)}{3003 \left(b x +a \right)^{\frac{13}{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,"2/3003*(d*x+c)^(7/2)*(16*b^3*d^3*x^3+104*a*b^2*d^3*x^2-56*b^3*c*d^2*x^2+286*a^2*b*d^3*x-364*a*b^2*c*d^2*x+126*b^3*c^2*d*x+429*a^3*d^3-1001*a^2*b*c*d^2+819*a*b^2*c^2*d-231*b^3*c^3)/(b*x+a)^(13/2)/(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"
1492,1,650,145,0.007000," ","int((b*x+a)^(7/2)/(d*x+c)^(1/2),x)","\frac{35 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{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{b x +a}\, \sqrt{d x +c}\, \sqrt{b d}}-\frac{35 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{3} 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)}{32 \sqrt{b x +a}\, \sqrt{d x +c}\, \sqrt{b d}\, d}+\frac{105 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} 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)}{64 \sqrt{b x +a}\, \sqrt{d x +c}\, \sqrt{b d}\, d^{2}}-\frac{35 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, a \,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)}{32 \sqrt{b x +a}\, \sqrt{d x +c}\, \sqrt{b d}\, d^{3}}+\frac{35 \sqrt{\left(b x +a \right) \left(d x +c \right)}\, b^{4} 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{b x +a}\, \sqrt{d x +c}\, \sqrt{b d}\, d^{4}}+\frac{35 \sqrt{b x +a}\, \sqrt{d x +c}\, a^{3}}{64 d}-\frac{105 \sqrt{b x +a}\, \sqrt{d x +c}\, a^{2} b c}{64 d^{2}}+\frac{105 \sqrt{b x +a}\, \sqrt{d x +c}\, a \,b^{2} c^{2}}{64 d^{3}}-\frac{35 \sqrt{b x +a}\, \sqrt{d x +c}\, b^{3} c^{3}}{64 d^{4}}+\frac{35 \left(b x +a \right)^{\frac{3}{2}} \sqrt{d x +c}\, a^{2}}{96 d}-\frac{35 \left(b x +a \right)^{\frac{3}{2}} \sqrt{d x +c}\, a b c}{48 d^{2}}+\frac{35 \left(b x +a \right)^{\frac{3}{2}} \sqrt{d x +c}\, b^{2} c^{2}}{96 d^{3}}+\frac{7 \left(b x +a \right)^{\frac{5}{2}} \sqrt{d x +c}\, a}{24 d}-\frac{7 \left(b x +a \right)^{\frac{5}{2}} \sqrt{d x +c}\, b c}{24 d^{2}}+\frac{\left(b x +a \right)^{\frac{7}{2}} \sqrt{d x +c}}{4 d}"," ",0,"1/4*(b*x+a)^(7/2)*(d*x+c)^(1/2)/d+7/24/d*(b*x+a)^(5/2)*(d*x+c)^(1/2)*a-7/24/d^2*(b*x+a)^(5/2)*(d*x+c)^(1/2)*b*c+35/96/d*(b*x+a)^(3/2)*(d*x+c)^(1/2)*a^2-35/48/d^2*(b*x+a)^(3/2)*(d*x+c)^(1/2)*a*b*c+35/96/d^3*(b*x+a)^(3/2)*(d*x+c)^(1/2)*b^2*c^2+35/64/d*(b*x+a)^(1/2)*(d*x+c)^(1/2)*a^3-105/64/d^2*(b*x+a)^(1/2)*(d*x+c)^(1/2)*a^2*b*c+105/64/d^3*(b*x+a)^(1/2)*(d*x+c)^(1/2)*a*b^2*c^2-35/64/d^4*(b*x+a)^(1/2)*(d*x+c)^(1/2)*b^3*c^3+35/128*((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^4-35/32/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^3*b*c+105/64/d^2*((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^2*b^2*c^2-35/32/d^3*((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*b^3*c^3+35/128/d^4*((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^4*c^4","B"
1493,1,465,116,0.009000," ","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^{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,"1/3*(b*x+a)^(5/2)*(d*x+c)^(1/2)/d+5/12/d*(b*x+a)^(3/2)*(d*x+c)^(1/2)*a-5/12/d^2*(b*x+a)^(3/2)*(d*x+c)^(1/2)*b*c+5/8/d*(b*x+a)^(1/2)*(d*x+c)^(1/2)*a^2-5/4/d^2*(b*x+a)^(1/2)*(d*x+c)^(1/2)*a*b*c+5/8/d^3*(b*x+a)^(1/2)*(d*x+c)^(1/2)*b^2*c^2+5/16*((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^3-15/16/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^2*b*c+15/16/d^2*((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*b^2*c^2-5/16/d^3*((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^3*c^3","B"
1494,1,308,87,0.007000," ","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,"1/2*(b*x+a)^(3/2)*(d*x+c)^(1/2)/d+3/4/d*(b*x+a)^(1/2)*(d*x+c)^(1/2)*a-3/4/d^2*(b*x+a)^(1/2)*(d*x+c)^(1/2)*b*c+3/8*((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^2-3/4/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*b*c+3/8/d^2*((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^2*c^2","B"
1495,1,107,57,0.006000," ","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"
1496,1,76,30,0.007000," ","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"
1497,1,27,26,0.006000," ","int(1/(b*x+a)^(3/2)/(d*x+c)^(1/2),x)","\frac{2 \sqrt{d x +c}}{\sqrt{b x +a}\, \left(a d -b c \right)}"," ",0,"2/(b*x+a)^(1/2)*(d*x+c)^(1/2)/(a*d-b*c)","A"
1498,1,54,54,0.004000," ","int(1/(b*x+a)^(5/2)/(d*x+c)^(1/2),x)","\frac{2 \sqrt{d x +c}\, \left(2 b d x +3 a d -b c \right)}{3 \left(b x +a \right)^{\frac{3}{2}} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}"," ",0,"2/3*(d*x+c)^(1/2)*(2*b*d*x+3*a*d-b*c)/(b*x+a)^(3/2)/(a^2*d^2-2*a*b*c*d+b^2*c^2)","A"
1499,1,105,83,0.007000," ","int(1/(b*x+a)^(7/2)/(d*x+c)^(1/2),x)","\frac{2 \sqrt{d x +c}\, \left(8 b^{2} x^{2} d^{2}+20 a b \,d^{2} x -4 b^{2} c d x +15 a^{2} d^{2}-10 a b c d +3 b^{2} c^{2}\right)}{15 \left(b x +a \right)^{\frac{5}{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,"2/15*(d*x+c)^(1/2)*(8*b^2*d^2*x^2+20*a*b*d^2*x-4*b^2*c*d*x+15*a^2*d^2-10*a*b*c*d+3*b^2*c^2)/(b*x+a)^(5/2)/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)","A"
1500,1,171,112,0.008000," ","int(1/(b*x+a)^(9/2)/(d*x+c)^(1/2),x)","\frac{2 \sqrt{d x +c}\, \left(16 b^{3} x^{3} d^{3}+56 a \,b^{2} d^{3} x^{2}-8 b^{3} c \,d^{2} x^{2}+70 a^{2} b \,d^{3} x -28 a \,b^{2} c \,d^{2} x +6 b^{3} c^{2} d x +35 a^{3} d^{3}-35 a^{2} b c \,d^{2}+21 a \,b^{2} c^{2} d -5 b^{3} c^{3}\right)}{35 \left(b x +a \right)^{\frac{7}{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,"2/35*(d*x+c)^(1/2)*(16*b^3*d^3*x^3+56*a*b^2*d^3*x^2-8*b^3*c*d^2*x^2+70*a^2*b*d^3*x-28*a*b^2*c*d^2*x+6*b^3*c^2*d*x+35*a^3*d^3-35*a^2*b*c*d^2+21*a*b^2*c^2*d-5*b^3*c^3)/(b*x+a)^(7/2)/(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"
1501,1,256,141,0.012000," ","int(1/(b*x+a)^(11/2)/(d*x+c)^(1/2),x)","\frac{2 \sqrt{d x +c}\, \left(128 b^{4} x^{4} d^{4}+576 a \,b^{3} d^{4} x^{3}-64 b^{4} c \,d^{3} x^{3}+1008 a^{2} b^{2} d^{4} x^{2}-288 a \,b^{3} c \,d^{3} x^{2}+48 b^{4} c^{2} d^{2} x^{2}+840 a^{3} b \,d^{4} x -504 a^{2} b^{2} c \,d^{3} x +216 a \,b^{3} c^{2} d^{2} x -40 b^{4} c^{3} d x +315 a^{4} d^{4}-420 a^{3} b c \,d^{3}+378 a^{2} b^{2} c^{2} d^{2}-180 a \,b^{3} c^{3} d +35 b^{4} c^{4}\right)}{315 \left(b x +a \right)^{\frac{9}{2}} \left(a^{5} d^{5}-5 a^{4} b c \,d^{4}+10 a^{3} b^{2} c^{2} d^{3}-10 a^{2} b^{3} c^{3} d^{2}+5 a \,b^{4} c^{4} d -b^{5} c^{5}\right)}"," ",0,"2/315*(d*x+c)^(1/2)*(128*b^4*d^4*x^4+576*a*b^3*d^4*x^3-64*b^4*c*d^3*x^3+1008*a^2*b^2*d^4*x^2-288*a*b^3*c*d^3*x^2+48*b^4*c^2*d^2*x^2+840*a^3*b*d^4*x-504*a^2*b^2*c*d^3*x+216*a*b^3*c^2*d^2*x-40*b^4*c^3*d*x+315*a^4*d^4-420*a^3*b*c*d^3+378*a^2*b^2*c^2*d^2-180*a*b^3*c^3*d+35*b^4*c^4)/(b*x+a)^(9/2)/(a^5*d^5-5*a^4*b*c*d^4+10*a^3*b^2*c^2*d^3-10*a^2*b^3*c^3*d^2+5*a*b^4*c^4*d-b^5*c^5)","A"
1502,0,0,138,0.079000," ","int((b*x+a)^(7/2)/(d*x+c)^(3/2),x)","\int \frac{\left(b x +a \right)^{\frac{7}{2}}}{\left(d x +c \right)^{\frac{3}{2}}}\, dx"," ",0,"int((b*x+a)^(7/2)/(d*x+c)^(3/2),x)","F"
1503,0,0,108,0.082000," ","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"
1504,0,0,78,0.087000," ","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"
1505,0,0,50,0.088000," ","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"
1506,1,27,26,0.005000," ","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"
1507,1,52,54,0.004000," ","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"
1508,1,105,83,0.009000," ","int(1/(b*x+a)^(5/2)/(d*x+c)^(3/2),x)","-\frac{2 \left(8 b^{2} x^{2} d^{2}+12 a b \,d^{2} x +4 b^{2} c d x +3 a^{2} d^{2}+6 a b c d -b^{2} c^{2}\right)}{3 \left(b x +a \right)^{\frac{3}{2}} \sqrt{d x +c}\, \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+12*a*b*d^2*x+4*b^2*c*d*x+3*a^2*d^2+6*a*b*c*d-b^2*c^2)/(b*x+a)^(3/2)/(d*x+c)^(1/2)/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)","A"
1509,1,170,112,0.010000," ","int(1/(b*x+a)^(7/2)/(d*x+c)^(3/2),x)","-\frac{2 \left(16 b^{3} x^{3} d^{3}+40 a \,b^{2} d^{3} x^{2}+8 b^{3} c \,d^{2} x^{2}+30 a^{2} b \,d^{3} x +20 a \,b^{2} c \,d^{2} x -2 b^{3} c^{2} d x +5 a^{3} d^{3}+15 a^{2} b c \,d^{2}-5 a \,b^{2} c^{2} d +b^{3} c^{3}\right)}{5 \left(b x +a \right)^{\frac{5}{2}} \sqrt{d x +c}\, \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,"-2/5*(16*b^3*d^3*x^3+40*a*b^2*d^3*x^2+8*b^3*c*d^2*x^2+30*a^2*b*d^3*x+20*a*b^2*c*d^2*x-2*b^3*c^2*d*x+5*a^3*d^3+15*a^2*b*c*d^2-5*a*b^2*c^2*d+b^3*c^3)/(b*x+a)^(5/2)/(d*x+c)^(1/2)/(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"
1510,1,256,141,0.012000," ","int(1/(b*x+a)^(9/2)/(d*x+c)^(3/2),x)","-\frac{2 \left(128 b^{4} x^{4} d^{4}+448 a \,b^{3} d^{4} x^{3}+64 b^{4} c \,d^{3} x^{3}+560 a^{2} b^{2} d^{4} x^{2}+224 a \,b^{3} c \,d^{3} x^{2}-16 b^{4} c^{2} d^{2} x^{2}+280 a^{3} b \,d^{4} x +280 a^{2} b^{2} c \,d^{3} x -56 a \,b^{3} c^{2} d^{2} x +8 b^{4} c^{3} d x +35 a^{4} d^{4}+140 a^{3} b c \,d^{3}-70 a^{2} b^{2} c^{2} d^{2}+28 a \,b^{3} c^{3} d -5 b^{4} c^{4}\right)}{35 \left(b x +a \right)^{\frac{7}{2}} \sqrt{d x +c}\, \left(a^{5} d^{5}-5 a^{4} b c \,d^{4}+10 a^{3} b^{2} c^{2} d^{3}-10 a^{2} b^{3} c^{3} d^{2}+5 a \,b^{4} c^{4} d -b^{5} c^{5}\right)}"," ",0,"-2/35*(128*b^4*d^4*x^4+448*a*b^3*d^4*x^3+64*b^4*c*d^3*x^3+560*a^2*b^2*d^4*x^2+224*a*b^3*c*d^3*x^2-16*b^4*c^2*d^2*x^2+280*a^3*b*d^4*x+280*a^2*b^2*c*d^3*x-56*a*b^3*c^2*d^2*x+8*b^4*c^3*d*x+35*a^4*d^4+140*a^3*b*c*d^3-70*a^2*b^2*c^2*d^2+28*a*b^3*c^3*d-5*b^4*c^4)/(b*x+a)^(7/2)/(d*x+c)^(1/2)/(a^5*d^5-5*a^4*b*c*d^4+10*a^3*b^2*c^2*d^3-10*a^2*b^3*c^3*d^2+5*a*b^4*c^4*d-b^5*c^5)","A"
1511,1,356,170,0.013000," ","int(1/(b*x+a)^(11/2)/(d*x+c)^(3/2),x)","-\frac{2 \left(256 b^{5} x^{5} d^{5}+1152 a \,b^{4} d^{5} x^{4}+128 b^{5} c \,d^{4} x^{4}+2016 a^{2} b^{3} d^{5} x^{3}+576 a \,b^{4} c \,d^{4} x^{3}-32 b^{5} c^{2} d^{3} x^{3}+1680 a^{3} b^{2} d^{5} x^{2}+1008 a^{2} b^{3} c \,d^{4} x^{2}-144 a \,b^{4} c^{2} d^{3} x^{2}+16 b^{5} c^{3} d^{2} x^{2}+630 a^{4} b \,d^{5} x +840 a^{3} b^{2} c \,d^{4} x -252 a^{2} b^{3} c^{2} d^{3} x +72 a \,b^{4} c^{3} d^{2} x -10 b^{5} c^{4} d x +63 a^{5} d^{5}+315 a^{4} b c \,d^{4}-210 a^{3} b^{2} c^{2} d^{3}+126 a^{2} b^{3} c^{3} d^{2}-45 a \,b^{4} c^{4} d +7 b^{5} c^{5}\right)}{63 \left(b x +a \right)^{\frac{9}{2}} \sqrt{d x +c}\, \left(d^{6} a^{6}-6 b \,d^{5} c \,a^{5}+15 b^{2} d^{4} c^{2} a^{4}-20 b^{3} d^{3} c^{3} a^{3}+15 b^{4} d^{2} c^{4} a^{2}-6 b^{5} d \,c^{5} a +b^{6} c^{6}\right)}"," ",0,"-2/63*(256*b^5*d^5*x^5+1152*a*b^4*d^5*x^4+128*b^5*c*d^4*x^4+2016*a^2*b^3*d^5*x^3+576*a*b^4*c*d^4*x^3-32*b^5*c^2*d^3*x^3+1680*a^3*b^2*d^5*x^2+1008*a^2*b^3*c*d^4*x^2-144*a*b^4*c^2*d^3*x^2+16*b^5*c^3*d^2*x^2+630*a^4*b*d^5*x+840*a^3*b^2*c*d^4*x-252*a^2*b^3*c^2*d^3*x+72*a*b^4*c^3*d^2*x-10*b^5*c^4*d*x+63*a^5*d^5+315*a^4*b*c*d^4-210*a^3*b^2*c^2*d^3+126*a^2*b^3*c^3*d^2-45*a*b^4*c^4*d+7*b^5*c^5)/(b*x+a)^(9/2)/(d*x+c)^(1/2)/(a^6*d^6-6*a^5*b*c*d^5+15*a^4*b^2*c^2*d^4-20*a^3*b^3*c^3*d^3+15*a^2*b^4*c^4*d^2-6*a*b^5*c^5*d+b^6*c^6)","B"
1512,0,0,164,0.083000," ","int((b*x+a)^(9/2)/(d*x+c)^(5/2),x)","\int \frac{\left(b x +a \right)^{\frac{9}{2}}}{\left(d x +c \right)^{\frac{5}{2}}}\, dx"," ",0,"int((b*x+a)^(9/2)/(d*x+c)^(5/2),x)","F"
1513,0,0,132,0.088000," ","int((b*x+a)^(7/2)/(d*x+c)^(5/2),x)","\int \frac{\left(b x +a \right)^{\frac{7}{2}}}{\left(d x +c \right)^{\frac{5}{2}}}\, dx"," ",0,"int((b*x+a)^(7/2)/(d*x+c)^(5/2),x)","F"
1514,0,0,100,0.082000," ","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"
1515,0,0,70,0.086000," ","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"
1516,1,27,26,0.005000," ","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"
1517,1,53,54,0.004000," ","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"
1518,1,104,82,0.007000," ","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"
1519,1,169,113,0.010000," ","int(1/(b*x+a)^(5/2)/(d*x+c)^(5/2),x)","-\frac{2 \left(-16 b^{3} x^{3} d^{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"
1520,1,256,142,0.010000," ","int(1/(b*x+a)^(7/2)/(d*x+c)^(5/2),x)","-\frac{2 \left(-128 b^{4} x^{4} d^{4}-320 a \,b^{3} d^{4} x^{3}-192 b^{4} c \,d^{3} x^{3}-240 a^{2} b^{2} d^{4} x^{2}-480 a \,b^{3} c \,d^{3} x^{2}-48 b^{4} c^{2} d^{2} x^{2}-40 a^{3} b \,d^{4} x -360 a^{2} b^{2} c \,d^{3} x -120 a \,b^{3} c^{2} d^{2} x +8 b^{4} c^{3} d x +5 a^{4} d^{4}-60 a^{3} b c \,d^{3}-90 a^{2} b^{2} c^{2} d^{2}+20 a \,b^{3} c^{3} d -3 b^{4} c^{4}\right)}{15 \left(b x +a \right)^{\frac{5}{2}} \left(d x +c \right)^{\frac{3}{2}} \left(a^{5} d^{5}-5 a^{4} b c \,d^{4}+10 a^{3} b^{2} c^{2} d^{3}-10 a^{2} b^{3} c^{3} d^{2}+5 a \,b^{4} c^{4} d -b^{5} c^{5}\right)}"," ",0,"-2/15*(-128*b^4*d^4*x^4-320*a*b^3*d^4*x^3-192*b^4*c*d^3*x^3-240*a^2*b^2*d^4*x^2-480*a*b^3*c*d^3*x^2-48*b^4*c^2*d^2*x^2-40*a^3*b*d^4*x-360*a^2*b^2*c*d^3*x-120*a*b^3*c^2*d^2*x+8*b^4*c^3*d*x+5*a^4*d^4-60*a^3*b*c*d^3-90*a^2*b^2*c^2*d^2+20*a*b^3*c^3*d-3*b^4*c^4)/(b*x+a)^(5/2)/(d*x+c)^(3/2)/(a^5*d^5-5*a^4*b*c*d^4+10*a^3*b^2*c^2*d^3-10*a^2*b^3*c^3*d^2+5*a*b^4*c^4*d-b^5*c^5)","A"
1521,1,356,171,0.015000," ","int(1/(b*x+a)^(9/2)/(d*x+c)^(5/2),x)","-\frac{2 \left(-256 b^{5} x^{5} d^{5}-896 a \,b^{4} d^{5} x^{4}-384 b^{5} c \,d^{4} x^{4}-1120 a^{2} b^{3} d^{5} x^{3}-1344 a \,b^{4} c \,d^{4} x^{3}-96 b^{5} c^{2} d^{3} x^{3}-560 a^{3} b^{2} d^{5} x^{2}-1680 a^{2} b^{3} c \,d^{4} x^{2}-336 a \,b^{4} c^{2} d^{3} x^{2}+16 b^{5} c^{3} d^{2} x^{2}-70 a^{4} b \,d^{5} x -840 a^{3} b^{2} c \,d^{4} x -420 a^{2} b^{3} c^{2} d^{3} x +56 a \,b^{4} c^{3} d^{2} x -6 b^{5} c^{4} d x +7 a^{5} d^{5}-105 a^{4} b c \,d^{4}-210 a^{3} b^{2} c^{2} d^{3}+70 a^{2} b^{3} c^{3} d^{2}-21 a \,b^{4} c^{4} d +3 b^{5} c^{5}\right)}{21 \left(b x +a \right)^{\frac{7}{2}} \left(d x +c \right)^{\frac{3}{2}} \left(d^{6} a^{6}-6 b \,d^{5} c \,a^{5}+15 b^{2} d^{4} c^{2} a^{4}-20 b^{3} d^{3} c^{3} a^{3}+15 b^{4} d^{2} c^{4} a^{2}-6 b^{5} d \,c^{5} a +b^{6} c^{6}\right)}"," ",0,"-2/21*(-256*b^5*d^5*x^5-896*a*b^4*d^5*x^4-384*b^5*c*d^4*x^4-1120*a^2*b^3*d^5*x^3-1344*a*b^4*c*d^4*x^3-96*b^5*c^2*d^3*x^3-560*a^3*b^2*d^5*x^2-1680*a^2*b^3*c*d^4*x^2-336*a*b^4*c^2*d^3*x^2+16*b^5*c^3*d^2*x^2-70*a^4*b*d^5*x-840*a^3*b^2*c*d^4*x-420*a^2*b^3*c^2*d^3*x+56*a*b^4*c^3*d^2*x-6*b^5*c^4*d*x+7*a^5*d^5-105*a^4*b*c*d^4-210*a^3*b^2*c^2*d^3+70*a^2*b^3*c^3*d^2-21*a*b^4*c^4*d+3*b^5*c^5)/(b*x+a)^(7/2)/(d*x+c)^(3/2)/(a^6*d^6-6*a^5*b*c*d^5+15*a^4*b^2*c^2*d^4-20*a^3*b^3*c^3*d^3+15*a^2*b^4*c^4*d^2-6*a*b^5*c^5*d+b^6*c^6)","B"
1522,1,86,15,0.009000," ","int(1/(b*x+a)^(1/2)/(b*x+a+4)^(1/2),x)","\frac{\sqrt{\left(b x +a \right) \left(b x +a +4\right)}\, \ln \left(\frac{b^{2} x +\frac{a b}{2}+\frac{\left(a +4\right) b}{2}}{\sqrt{b^{2}}}+\sqrt{b^{2} x^{2}+\left(a +4\right) a +\left(a b +\left(a +4\right) b \right) x}\right)}{\sqrt{b x +a}\, \sqrt{b x +a +4}\, \sqrt{b^{2}}}"," ",0,"((b*x+a)*(b*x+a+4))^(1/2)/(b*x+a)^(1/2)/(b*x+a+4)^(1/2)*ln((1/2*a*b+1/2*b*(a+4)+b^2*x)/(b^2)^(1/2)+(b^2*x^2+(a*b+b*(a+4))*x+a*(a+4))^(1/2))/(b^2)^(1/2)","B"
1523,1,66,15,0.009000," ","int(1/(b*x+2)^(1/2)/(b*x+6)^(1/2),x)","\frac{\sqrt{\left(b x +2\right) \left(b x +6\right)}\, \ln \left(\frac{b^{2} x +4 b}{\sqrt{b^{2}}}+\sqrt{b^{2} x^{2}+8 b x +12}\right)}{\sqrt{b x +2}\, \sqrt{b x +6}\, \sqrt{b^{2}}}"," ",0,"((b*x+2)*(b*x+6))^(1/2)/(b*x+2)^(1/2)/(b*x+6)^(1/2)*ln((b^2*x+4*b)/(b^2)^(1/2)+(b^2*x^2+8*b*x+12)^(1/2))/(b^2)^(1/2)","B"
1524,1,66,15,0.008000," ","int(1/(b*x+1)^(1/2)/(b*x+5)^(1/2),x)","\frac{\sqrt{\left(b x +1\right) \left(b x +5\right)}\, \ln \left(\frac{b^{2} x +3 b}{\sqrt{b^{2}}}+\sqrt{b^{2} x^{2}+6 b x +5}\right)}{\sqrt{b x +1}\, \sqrt{b x +5}\, \sqrt{b^{2}}}"," ",0,"((b*x+1)*(b*x+5))^(1/2)/(b*x+1)^(1/2)/(b*x+5)^(1/2)*ln((b^2*x+3*b)/(b^2)^(1/2)+(b^2*x^2+6*b*x+5)^(1/2))/(b^2)^(1/2)","B"
1525,1,60,13,0.007000," ","int(1/(b*x)^(1/2)/(b*x+4)^(1/2),x)","\frac{\sqrt{\left(b x +4\right) b x}\, \ln \left(\frac{b^{2} x +2 b}{\sqrt{b^{2}}}+\sqrt{b^{2} x^{2}+4 b x}\right)}{\sqrt{b x}\, \sqrt{b x +4}\, \sqrt{b^{2}}}"," ",0,"(x*b*(b*x+4))^(1/2)/(b*x)^(1/2)/(b*x+4)^(1/2)*ln((b^2*x+2*b)/(b^2)^(1/2)+(b^2*x^2+4*b*x)^(1/2))/(b^2)^(1/2)","B"
1526,1,64,15,0.008000," ","int(1/(b*x-1)^(1/2)/(b*x+3)^(1/2),x)","\frac{\sqrt{\left(b x -1\right) \left(b x +3\right)}\, \ln \left(\frac{b^{2} x +b}{\sqrt{b^{2}}}+\sqrt{b^{2} x^{2}+2 b x -3}\right)}{\sqrt{b x -1}\, \sqrt{b x +3}\, \sqrt{b^{2}}}"," ",0,"((b*x-1)*(b*x+3))^(1/2)/(b*x-1)^(1/2)/(b*x+3)^(1/2)*ln((b^2*x+b)/(b^2)^(1/2)+(b^2*x^2+2*b*x-3)^(1/2))/(b^2)^(1/2)","B"
1527,1,57,9,0.007000," ","int(1/(b*x-2)^(1/2)/(b*x+2)^(1/2),x)","\frac{\sqrt{\left(b x -2\right) \left(b x +2\right)}\, \ln \left(\frac{b^{2} x}{\sqrt{b^{2}}}+\sqrt{b^{2} x^{2}-4}\right)}{\sqrt{b x -2}\, \sqrt{b x +2}\, \sqrt{b^{2}}}"," ",0,"((b*x-2)*(b*x+2))^(1/2)/(b*x-2)^(1/2)/(b*x+2)^(1/2)*ln(b^2*x/(b^2)^(1/2)+(b^2*x^2-4)^(1/2))/(b^2)^(1/2)","B"
1528,1,66,15,0.009000," ","int(1/(b*x-3)^(1/2)/(b*x+1)^(1/2),x)","\frac{\sqrt{\left(b x -3\right) \left(b x +1\right)}\, \ln \left(\frac{b^{2} x -b}{\sqrt{b^{2}}}+\sqrt{b^{2} x^{2}-2 b x -3}\right)}{\sqrt{b x -3}\, \sqrt{b x +1}\, \sqrt{b^{2}}}"," ",0,"((b*x-3)*(b*x+1))^(1/2)/(b*x-3)^(1/2)/(b*x+1)^(1/2)*ln((b^2*x-b)/(b^2)^(1/2)+(b^2*x^2-2*b*x-3)^(1/2))/(b^2)^(1/2)","B"
1529,1,66,13,0.007000," ","int(1/(b*x+2)^(1/2)/(b*x+3)^(1/2),x)","\frac{\sqrt{\left(b x +2\right) \left(b x +3\right)}\, \ln \left(\frac{b^{2} x +\frac{5}{2} b}{\sqrt{b^{2}}}+\sqrt{b^{2} x^{2}+5 b x +6}\right)}{\sqrt{b x +2}\, \sqrt{b x +3}\, \sqrt{b^{2}}}"," ",0,"((b*x+2)*(b*x+3))^(1/2)/(b*x+2)^(1/2)/(b*x+3)^(1/2)*ln((5/2*b+b^2*x)/(b^2)^(1/2)+(b^2*x^2+5*b*x+6)^(1/2))/(b^2)^(1/2)","B"
1530,1,11,10,0.001000," ","int(1/(b*x+2),x)","\frac{\ln \left(b x +2\right)}{b}"," ",0,"ln(b*x+2)/b","A"
1531,1,66,13,0.006000," ","int(1/(b*x+1)^(1/2)/(b*x+2)^(1/2),x)","\frac{\sqrt{\left(b x +1\right) \left(b x +2\right)}\, \ln \left(\frac{b^{2} x +\frac{3}{2} b}{\sqrt{b^{2}}}+\sqrt{b^{2} x^{2}+3 b x +2}\right)}{\sqrt{b x +1}\, \sqrt{b x +2}\, \sqrt{b^{2}}}"," ",0,"((b*x+1)*(b*x+2))^(1/2)/(b*x+1)^(1/2)/(b*x+2)^(1/2)*ln((3/2*b+b^2*x)/(b^2)^(1/2)+(b^2*x^2+3*b*x+2)^(1/2))/(b^2)^(1/2)","B"
1532,1,58,16,0.006000," ","int(1/(b*x)^(1/2)/(b*x+2)^(1/2),x)","\frac{\sqrt{\left(b x +2\right) b x}\, \ln \left(\frac{b^{2} x +b}{\sqrt{b^{2}}}+\sqrt{b^{2} x^{2}+2 b x}\right)}{\sqrt{b x}\, \sqrt{b x +2}\, \sqrt{b^{2}}}"," ",0,"(x*b*(b*x+2))^(1/2)/(b*x)^(1/2)/(b*x+2)^(1/2)*ln((b^2*x+b)/(b^2)^(1/2)+(b^2*x^2+2*b*x)^(1/2))/(b^2)^(1/2)","B"
1533,1,65,18,0.007000," ","int(1/(b*x-1)^(1/2)/(b*x+2)^(1/2),x)","\frac{\sqrt{\left(b x -1\right) \left(b x +2\right)}\, \ln \left(\frac{b^{2} x +\frac{1}{2} b}{\sqrt{b^{2}}}+\sqrt{b^{2} x^{2}+b x -2}\right)}{\sqrt{b x -1}\, \sqrt{b x +2}\, \sqrt{b^{2}}}"," ",0,"((b*x-1)*(b*x+2))^(1/2)/(b*x-1)^(1/2)/(b*x+2)^(1/2)*ln((1/2*b+b^2*x)/(b^2)^(1/2)+(b^2*x^2+b*x-2)^(1/2))/(b^2)^(1/2)","B"
1534,1,57,9,0.000000," ","int(1/(b*x-2)^(1/2)/(b*x+2)^(1/2),x)","\frac{\sqrt{\left(b x -2\right) \left(b x +2\right)}\, \ln \left(\frac{b^{2} x}{\sqrt{b^{2}}}+\sqrt{b^{2} x^{2}-4}\right)}{\sqrt{b x -2}\, \sqrt{b x +2}\, \sqrt{b^{2}}}"," ",0,"((b*x-2)*(b*x+2))^(1/2)/(b*x-2)^(1/2)/(b*x+2)^(1/2)/(b^2)^(1/2)*ln(1/(b^2)^(1/2)*b^2*x+(b^2*x^2-4)^(1/2))","B"
1535,1,66,18,0.007000," ","int(1/(b*x-3)^(1/2)/(b*x+2)^(1/2),x)","\frac{\sqrt{\left(b x -3\right) \left(b x +2\right)}\, \ln \left(\frac{b^{2} x -\frac{1}{2} b}{\sqrt{b^{2}}}+\sqrt{b^{2} x^{2}-b x -6}\right)}{\sqrt{b x -3}\, \sqrt{b x +2}\, \sqrt{b^{2}}}"," ",0,"((b*x-3)*(b*x+2))^(1/2)/(b*x-3)^(1/2)/(b*x+2)^(1/2)*ln((-1/2*b+b^2*x)/(b^2)^(1/2)+(b^2*x^2-b*x-6)^(1/2))/(b^2)^(1/2)","B"
1536,1,65,11,0.012000," ","int(1/(-b*x+3)^(1/2)/(b*x+2)^(1/2),x)","\frac{\sqrt{\left(-b x +3\right) \left(b x +2\right)}\, \arctan \left(\frac{\sqrt{b^{2}}\, \left(x -\frac{1}{2 b}\right)}{\sqrt{-b^{2} x^{2}+b x +6}}\right)}{\sqrt{-b x +3}\, \sqrt{b x +2}\, \sqrt{b^{2}}}"," ",0,"((-b*x+3)*(b*x+2))^(1/2)/(-b*x+3)^(1/2)/(b*x+2)^(1/2)/(b^2)^(1/2)*arctan((b^2)^(1/2)*(x-1/2/b)/(-b^2*x^2+b*x+6)^(1/2))","B"
1537,1,56,9,0.007000," ","int(1/(-b*x+2)^(1/2)/(b*x+2)^(1/2),x)","\frac{\sqrt{\left(-b x +2\right) \left(b x +2\right)}\, \arctan \left(\frac{\sqrt{b^{2}}\, x}{\sqrt{-b^{2} x^{2}+4}}\right)}{\sqrt{-b x +2}\, \sqrt{b x +2}\, \sqrt{b^{2}}}"," ",0,"((-b*x+2)*(b*x+2))^(1/2)/(-b*x+2)^(1/2)/(b*x+2)^(1/2)/(b^2)^(1/2)*arctan((b^2)^(1/2)*x/(-b^2*x^2+4)^(1/2))","B"
1538,1,66,11,0.010000," ","int(1/(-b*x+1)^(1/2)/(b*x+2)^(1/2),x)","\frac{\sqrt{\left(-b x +1\right) \left(b x +2\right)}\, \arctan \left(\frac{\sqrt{b^{2}}\, \left(x +\frac{1}{2 b}\right)}{\sqrt{-b^{2} x^{2}-b x +2}}\right)}{\sqrt{-b x +1}\, \sqrt{b x +2}\, \sqrt{b^{2}}}"," ",0,"((-b*x+1)*(b*x+2))^(1/2)/(-b*x+1)^(1/2)/(b*x+2)^(1/2)/(b^2)^(1/2)*arctan((b^2)^(1/2)*(x+1/2/b)/(-b^2*x^2-b*x+2)^(1/2))","B"
1539,1,58,10,0.004000," ","int(1/(-b*x)^(1/2)/(b*x+2)^(1/2),x)","\frac{\sqrt{-\left(b x +2\right) b x}\, \arctan \left(\frac{\sqrt{b^{2}}\, \left(x +\frac{1}{b}\right)}{\sqrt{-b^{2} x^{2}-2 b x}}\right)}{\sqrt{-b x}\, \sqrt{b x +2}\, \sqrt{b^{2}}}"," ",0,"(-(b*x+2)*b*x)^(1/2)/(-b*x)^(1/2)/(b*x+2)^(1/2)/(b^2)^(1/2)*arctan((b^2)^(1/2)*(x+1/b)/(-b^2*x^2-2*b*x)^(1/2))","B"
1540,1,66,11,0.009000," ","int(1/(-b*x-1)^(1/2)/(b*x+2)^(1/2),x)","\frac{\sqrt{\left(-b x -1\right) \left(b x +2\right)}\, \arctan \left(\frac{\sqrt{b^{2}}\, \left(x +\frac{3}{2 b}\right)}{\sqrt{-b^{2} x^{2}-3 b x -2}}\right)}{\sqrt{-b x -1}\, \sqrt{b x +2}\, \sqrt{b^{2}}}"," ",0,"((-b*x-1)*(b*x+2))^(1/2)/(-b*x-1)^(1/2)/(b*x+2)^(1/2)/(b^2)^(1/2)*arctan((b^2)^(1/2)*(x+3/2/b)/(-b^2*x^2-3*b*x-2)^(1/2))","B"
1541,1,26,25,0.004000," ","int(1/(-b*x-2)^(1/2)/(b*x+2)^(1/2),x)","\frac{\sqrt{b x +2}\, \ln \left(b x +2\right)}{\sqrt{-b x -2}\, b}"," ",0,"ln(b*x+2)*(b*x+2)^(1/2)/b/(-b*x-2)^(1/2)","A"
1542,1,66,22,0.010000," ","int(1/(-b*x-3)^(1/2)/(b*x+2)^(1/2),x)","\frac{\sqrt{\left(-b x -3\right) \left(b x +2\right)}\, \arctan \left(\frac{\sqrt{b^{2}}\, \left(x +\frac{5}{2 b}\right)}{\sqrt{-b^{2} x^{2}-5 b x -6}}\right)}{\sqrt{-b x -3}\, \sqrt{b x +2}\, \sqrt{b^{2}}}"," ",0,"((-b*x-3)*(b*x+2))^(1/2)/(-b*x-3)^(1/2)/(b*x+2)^(1/2)/(b^2)^(1/2)*arctan((b^2)^(1/2)*(x+5/2/b)/(-b^2*x^2-5*b*x-6)^(1/2))","B"
1543,1,70,14,0.009000," ","int(1/(-b*x+2)^(1/2)/(-b*x+3)^(1/2),x)","\frac{\sqrt{\left(-b x +2\right) \left(-b x +3\right)}\, \ln \left(\frac{b^{2} x -\frac{5}{2} b}{\sqrt{b^{2}}}+\sqrt{b^{2} x^{2}-5 b x +6}\right)}{\sqrt{-b x +2}\, \sqrt{-b x +3}\, \sqrt{b^{2}}}"," ",0,"((-b*x+2)*(-b*x+3))^(1/2)/(-b*x+2)^(1/2)/(-b*x+3)^(1/2)*ln((-5/2*b+b^2*x)/(b^2)^(1/2)+(b^2*x^2-5*b*x+6)^(1/2))/(b^2)^(1/2)","B"
1544,1,13,12,0.001000," ","int(1/(-b*x+2),x)","-\frac{\ln \left(-b x +2\right)}{b}"," ",0,"-ln(-b*x+2)/b","A"
1545,1,70,14,0.008000," ","int(1/(-b*x+1)^(1/2)/(-b*x+2)^(1/2),x)","\frac{\sqrt{\left(-b x +1\right) \left(-b x +2\right)}\, \ln \left(\frac{b^{2} x -\frac{3}{2} b}{\sqrt{b^{2}}}+\sqrt{b^{2} x^{2}-3 b x +2}\right)}{\sqrt{-b x +1}\, \sqrt{-b x +2}\, \sqrt{b^{2}}}"," ",0,"((-b*x+1)*(-b*x+2))^(1/2)/(-b*x+1)^(1/2)/(-b*x+2)^(1/2)*ln((-3/2*b+b^2*x)/(b^2)^(1/2)+(b^2*x^2-3*b*x+2)^(1/2))/(b^2)^(1/2)","B"
1546,1,64,17,0.007000," ","int(1/(-b*x)^(1/2)/(-b*x+2)^(1/2),x)","\frac{\sqrt{-\left(-b x +2\right) b x}\, \ln \left(\frac{b^{2} x -b}{\sqrt{b^{2}}}+\sqrt{b^{2} x^{2}-2 b x}\right)}{\sqrt{-b x}\, \sqrt{-b x +2}\, \sqrt{b^{2}}}"," ",0,"(-x*b*(-b*x+2))^(1/2)/(-b*x)^(1/2)/(-b*x+2)^(1/2)*ln((b^2*x-b)/(b^2)^(1/2)+(b^2*x^2-2*b*x)^(1/2))/(b^2)^(1/2)","B"
1547,1,70,19,0.007000," ","int(1/(-b*x-1)^(1/2)/(-b*x+2)^(1/2),x)","\frac{\sqrt{\left(-b x -1\right) \left(-b x +2\right)}\, \ln \left(\frac{b^{2} x -\frac{1}{2} b}{\sqrt{b^{2}}}+\sqrt{b^{2} x^{2}-b x -2}\right)}{\sqrt{-b x -1}\, \sqrt{-b x +2}\, \sqrt{b^{2}}}"," ",0,"((-b*x-1)*(-b*x+2))^(1/2)/(-b*x-1)^(1/2)/(-b*x+2)^(1/2)*ln((b^2*x-1/2*b)/(b^2)^(1/2)+(b^2*x^2-b*x-2)^(1/2))/(b^2)^(1/2)","B"
1548,1,61,10,0.006000," ","int(1/(-b*x-2)^(1/2)/(-b*x+2)^(1/2),x)","\frac{\sqrt{\left(-b x -2\right) \left(-b x +2\right)}\, \ln \left(\frac{b^{2} x}{\sqrt{b^{2}}}+\sqrt{b^{2} x^{2}-4}\right)}{\sqrt{-b x -2}\, \sqrt{-b x +2}\, \sqrt{b^{2}}}"," ",0,"((-b*x-2)*(-b*x+2))^(1/2)/(-b*x-2)^(1/2)/(-b*x+2)^(1/2)*ln(1/(b^2)^(1/2)*b^2*x+(b^2*x^2-4)^(1/2))/(b^2)^(1/2)","B"
1549,1,69,19,0.007000," ","int(1/(-b*x-3)^(1/2)/(-b*x+2)^(1/2),x)","\frac{\sqrt{\left(-b x -3\right) \left(-b x +2\right)}\, \ln \left(\frac{b^{2} x +\frac{1}{2} b}{\sqrt{b^{2}}}+\sqrt{b^{2} x^{2}+b x -6}\right)}{\sqrt{-b x -3}\, \sqrt{-b x +2}\, \sqrt{b^{2}}}"," ",0,"((-b*x-3)*(-b*x+2))^(1/2)/(-b*x-3)^(1/2)/(-b*x+2)^(1/2)*ln((b^2*x+1/2*b)/(b^2)^(1/2)+(b^2*x^2+b*x-6)^(1/2))/(b^2)^(1/2)","B"
1550,1,57,9,0.006000," ","int(1/(b*x-4)^(1/2)/(b*x+4)^(1/2),x)","\frac{\sqrt{\left(b x -4\right) \left(b x +4\right)}\, \ln \left(\frac{b^{2} x}{\sqrt{b^{2}}}+\sqrt{b^{2} x^{2}-16}\right)}{\sqrt{b x -4}\, \sqrt{b x +4}\, \sqrt{b^{2}}}"," ",0,"((b*x-4)*(b*x+4))^(1/2)/(b*x-4)^(1/2)/(b*x+4)^(1/2)*ln(1/(b^2)^(1/2)*b^2*x+(b^2*x^2-16)^(1/2))/(b^2)^(1/2)","B"
1551,1,100,33,0.018000," ","int(1/((b*c-b)/d+b*x)^(1/2)/(d*x+c)^(1/2),x)","\frac{\sqrt{\left(b x +\frac{\left(c -1\right) b}{d}\right) \left(d x +c \right)}\, \ln \left(\frac{b d x +\frac{b c}{2}+\frac{\left(c -1\right) b}{2}}{\sqrt{b d}}+\sqrt{b d \,x^{2}+\frac{\left(c -1\right) b c}{d}+\left(b c +\left(c -1\right) b \right) x}\right)}{\sqrt{b x +\frac{\left(c -1\right) b}{d}}\, \sqrt{d x +c}\, \sqrt{b d}}"," ",0,"((b*x+b*(c-1)/d)*(d*x+c))^(1/2)/(b*x+b*(c-1)/d)^(1/2)/(d*x+c)^(1/2)*ln((1/2*b*(c-1)+1/2*b*c+b*d*x)/(b*d)^(1/2)+(b*d*x^2+(b*(c-1)+b*c)*x+b*(c-1)/d*c)^(1/2))/(b*d)^(1/2)","B"
1552,1,48,17,0.007000," ","int(1/x^(1/2)/(-3+2*x)^(1/2),x)","\frac{\sqrt{\left(2 x -3\right) x}\, \sqrt{2}\, \ln \left(\frac{\left(2 x -\frac{3}{2}\right) \sqrt{2}}{2}+\sqrt{2 x^{2}-3 x}\right)}{2 \sqrt{2 x -3}\, \sqrt{x}}"," ",0,"1/2*(x*(-3+2*x))^(1/2)/x^(1/2)/(-3+2*x)^(1/2)*ln(1/2*(-3/2+2*x)*2^(1/2)+(2*x^2-3*x)^(1/2))*2^(1/2)","B"
1553,1,57,18,0.007000," ","int(1/(2*x-3)^(1/2)/(3*x+2)^(1/2),x)","\frac{\sqrt{\left(2 x -3\right) \left(3 x +2\right)}\, \sqrt{6}\, \ln \left(\frac{\left(6 x -\frac{5}{2}\right) \sqrt{6}}{6}+\sqrt{6 x^{2}-5 x -6}\right)}{6 \sqrt{2 x -3}\, \sqrt{3 x +2}}"," ",0,"1/6*((2*x-3)*(3*x+2))^(1/2)/(2*x-3)^(1/2)/(3*x+2)^(1/2)*ln(1/6*(-5/2+6*x)*6^(1/2)+(6*x^2-5*x-6)^(1/2))*6^(1/2)","B"
1554,1,118,32,0.043000," ","int(1/((-b*c+b)/d+b*x)^(1/2)/(-d*x+c)^(1/2),x)","\frac{\sqrt{\left(b x +\frac{\left(-c +1\right) b}{d}\right) \left(-d x +c \right)}\, \arctan \left(\frac{\sqrt{b d}\, \left(x -\frac{b c -\left(-c +1\right) b}{2 b d}\right)}{\sqrt{-b d \,x^{2}+\frac{\left(-c +1\right) b c}{d}+\left(b c -\left(-c +1\right) b \right) x}}\right)}{\sqrt{b x +\frac{\left(-c +1\right) b}{d}}\, \sqrt{-d x +c}\, \sqrt{b d}}"," ",0,"((b*(1-c)/d+b*x)*(-d*x+c))^(1/2)/(b*(1-c)/d+b*x)^(1/2)/(-d*x+c)^(1/2)/(b*d)^(1/2)*arctan((b*d)^(1/2)*(x-1/2*(-b*(1-c)+b*c)/b/d)/(-b*d*x^2+(-b*(1-c)+b*c)*x+b*(1-c)/d*c)^(1/2))","B"
1555,1,27,6,0.005000," ","int(1/(4-x)^(1/2)/x^(1/2),x)","\frac{\sqrt{\left(-x +4\right) x}\, \arcsin \left(\frac{x}{2}-1\right)}{\sqrt{-x +4}\, \sqrt{x}}"," ",0,"((4-x)*x)^(1/2)/(4-x)^(1/2)/x^(1/2)*arcsin(-1+1/2*x)","B"
1556,1,31,13,0.006000," ","int(1/(-2*x+3)^(1/2)/x^(1/2),x)","\frac{\sqrt{\left(-2 x +3\right) x}\, \sqrt{2}\, \arcsin \left(\frac{4 x}{3}-1\right)}{2 \sqrt{-2 x +3}\, \sqrt{x}}"," ",0,"1/2*((-2*x+3)*x)^(1/2)/(-2*x+3)^(1/2)/x^(1/2)*2^(1/2)*arcsin(4/3*x-1)","B"
1557,1,39,18,0.006000," ","int(1/(-2*x+3)^(1/2)/(3+5*x)^(1/2),x)","\frac{\sqrt{\left(-2 x +3\right) \left(5 x +3\right)}\, \sqrt{10}\, \arcsin \left(\frac{20 x}{21}-\frac{3}{7}\right)}{10 \sqrt{-2 x +3}\, \sqrt{5 x +3}}"," ",0,"1/10*((-2*x+3)*(3+5*x))^(1/2)/(-2*x+3)^(1/2)/(3+5*x)^(1/2)*10^(1/2)*arcsin(20/21*x-3/7)","B"
1558,1,84,31,0.009000," ","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)}\, \arctan \left(\frac{\sqrt{b d}\, \left(x -\frac{a d -b c}{2 b d}\right)}{\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)/(b*d)^(1/2)*arctan((b*d)^(1/2)*(x-1/2*(a*d-b*c)/b/d)/(-b*d*x^2+(a*d-b*c)*x+a*c)^(1/2))","B"
1559,0,0,366,0.152000," ","int((b*x+a)^(3/2)*(d*x+c)^(1/3),x)","\int \left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{1}{3}}\, dx"," ",0,"int((b*x+a)^(3/2)*(d*x+c)^(1/3),x)","F"
1560,0,0,334,0.076000," ","int((b*x+a)^(1/2)*(d*x+c)^(1/3),x)","\int \sqrt{b x +a}\, \left(d x +c \right)^{\frac{1}{3}}\, dx"," ",0,"int((b*x+a)^(1/2)*(d*x+c)^(1/3),x)","F"
1561,0,0,302,0.074000," ","int((d*x+c)^(1/3)/(b*x+a)^(1/2),x)","\int \frac{\left(d x +c \right)^{\frac{1}{3}}}{\sqrt{b x +a}}\, dx"," ",0,"int((d*x+c)^(1/3)/(b*x+a)^(1/2),x)","F"
1562,0,0,291,0.085000," ","int((d*x+c)^(1/3)/(b*x+a)^(3/2),x)","\int \frac{\left(d x +c \right)^{\frac{1}{3}}}{\left(b x +a \right)^{\frac{3}{2}}}\, dx"," ",0,"int((d*x+c)^(1/3)/(b*x+a)^(3/2),x)","F"
1563,0,0,332,0.084000," ","int((d*x+c)^(1/3)/(b*x+a)^(5/2),x)","\int \frac{\left(d x +c \right)^{\frac{1}{3}}}{\left(b x +a \right)^{\frac{5}{2}}}\, dx"," ",0,"int((d*x+c)^(1/3)/(b*x+a)^(5/2),x)","F"
1564,0,0,366,0.085000," ","int((d*x+c)^(1/3)/(b*x+a)^(7/2),x)","\int \frac{\left(d x +c \right)^{\frac{1}{3}}}{\left(b x +a \right)^{\frac{7}{2}}}\, dx"," ",0,"int((d*x+c)^(1/3)/(b*x+a)^(7/2),x)","F"
1565,0,0,665,0.120000," ","int((b*x+a)^(3/2)/(d*x+c)^(1/3),x)","\int \frac{\left(b x +a \right)^{\frac{3}{2}}}{\left(d x +c \right)^{\frac{1}{3}}}\, dx"," ",0,"int((b*x+a)^(3/2)/(d*x+c)^(1/3),x)","F"
1566,0,0,636,0.062000," ","int((b*x+a)^(1/2)/(d*x+c)^(1/3),x)","\int \frac{\sqrt{b x +a}}{\left(d x +c \right)^{\frac{1}{3}}}\, dx"," ",0,"int((b*x+a)^(1/2)/(d*x+c)^(1/3),x)","F"
1567,0,0,606,0.085000," ","int(1/(b*x+a)^(1/2)/(d*x+c)^(1/3),x)","\int \frac{1}{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(b*x+a)^(1/2)/(d*x+c)^(1/3),x)","F"
1568,0,0,636,0.083000," ","int(1/(b*x+a)^(3/2)/(d*x+c)^(1/3),x)","\int \frac{1}{\left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(b*x+a)^(3/2)/(d*x+c)^(1/3),x)","F"
1569,0,0,668,0.084000," ","int(1/(b*x+a)^(5/2)/(d*x+c)^(1/3),x)","\int \frac{1}{\left(b x +a \right)^{\frac{5}{2}} \left(d x +c \right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(b*x+a)^(5/2)/(d*x+c)^(1/3),x)","F"
1570,0,0,331,0.076000," ","int((b*x+a)^(3/2)/(d*x+c)^(2/3),x)","\int \frac{\left(b x +a \right)^{\frac{3}{2}}}{\left(d x +c \right)^{\frac{2}{3}}}\, dx"," ",0,"int((b*x+a)^(3/2)/(d*x+c)^(2/3),x)","F"
1571,0,0,302,0.071000," ","int((b*x+a)^(1/2)/(d*x+c)^(2/3),x)","\int \frac{\sqrt{b x +a}}{\left(d x +c \right)^{\frac{2}{3}}}\, dx"," ",0,"int((b*x+a)^(1/2)/(d*x+c)^(2/3),x)","F"
1572,0,0,274,0.084000," ","int(1/(b*x+a)^(1/2)/(d*x+c)^(2/3),x)","\int \frac{1}{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{2}{3}}}\, dx"," ",0,"int(1/(b*x+a)^(1/2)/(d*x+c)^(2/3),x)","F"
1573,0,0,308,0.081000," ","int(1/(b*x+a)^(3/2)/(d*x+c)^(2/3),x)","\int \frac{1}{\left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{2}{3}}}\, dx"," ",0,"int(1/(b*x+a)^(3/2)/(d*x+c)^(2/3),x)","F"
1574,0,0,336,0.083000," ","int(1/(b*x+a)^(5/2)/(d*x+c)^(2/3),x)","\int \frac{1}{\left(b x +a \right)^{\frac{5}{2}} \left(d x +c \right)^{\frac{2}{3}}}\, dx"," ",0,"int(1/(b*x+a)^(5/2)/(d*x+c)^(2/3),x)","F"
1575,0,0,169,0.060000," ","int((b*x+a)^(2/3)*(d*x+c)^(1/3),x)","\int \left(b x +a \right)^{\frac{2}{3}} \left(d x +c \right)^{\frac{1}{3}}\, dx"," ",0,"int((b*x+a)^(2/3)*(d*x+c)^(1/3),x)","F"
1576,0,0,132,0.033000," ","int((d*x+c)^(1/3)/(b*x+a)^(1/3),x)","\int \frac{\left(d x +c \right)^{\frac{1}{3}}}{\left(b x +a \right)^{\frac{1}{3}}}\, dx"," ",0,"int((d*x+c)^(1/3)/(b*x+a)^(1/3),x)","F"
1577,0,0,109,0.084000," ","int((d*x+c)^(1/3)/(b*x+a)^(4/3),x)","\int \frac{\left(d x +c \right)^{\frac{1}{3}}}{\left(b x +a \right)^{\frac{4}{3}}}\, dx"," ",0,"int((d*x+c)^(1/3)/(b*x+a)^(4/3),x)","F"
1578,1,27,26,0.005000," ","int((d*x+c)^(1/3)/(b*x+a)^(7/3),x)","\frac{3 \left(d x +c \right)^{\frac{4}{3}}}{4 \left(b x +a \right)^{\frac{4}{3}} \left(a d -b c \right)}"," ",0,"3/4/(b*x+a)^(4/3)*(d*x+c)^(4/3)/(a*d-b*c)","A"
1579,1,54,54,0.006000," ","int((d*x+c)^(1/3)/(b*x+a)^(10/3),x)","\frac{3 \left(d x +c \right)^{\frac{4}{3}} \left(3 b d x +7 a d -4 b c \right)}{28 \left(b x +a \right)^{\frac{7}{3}} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}"," ",0,"3/28*(d*x+c)^(4/3)*(3*b*d*x+7*a*d-4*b*c)/(b*x+a)^(7/3)/(a^2*d^2-2*a*b*c*d+b^2*c^2)","A"
1580,1,105,83,0.008000," ","int((d*x+c)^(1/3)/(b*x+a)^(13/3),x)","\frac{3 \left(d x +c \right)^{\frac{4}{3}} \left(9 b^{2} x^{2} d^{2}+30 a b \,d^{2} x -12 b^{2} c d x +35 a^{2} d^{2}-40 a b c d +14 b^{2} c^{2}\right)}{140 \left(b x +a \right)^{\frac{10}{3}} \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,"3/140*(d*x+c)^(4/3)*(9*b^2*d^2*x^2+30*a*b*d^2*x-12*b^2*c*d*x+35*a^2*d^2-40*a*b*c*d+14*b^2*c^2)/(b*x+a)^(10/3)/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)","A"
1581,1,171,112,0.009000," ","int((d*x+c)^(1/3)/(b*x+a)^(16/3),x)","\frac{3 \left(d x +c \right)^{\frac{4}{3}} \left(81 b^{3} d^{3} x^{3}+351 a \,b^{2} d^{3} x^{2}-108 b^{3} c \,d^{2} x^{2}+585 a^{2} b \,d^{3} x -468 a \,b^{2} c \,d^{2} x +126 b^{3} c^{2} d x +455 a^{3} d^{3}-780 a^{2} b c \,d^{2}+546 a \,b^{2} c^{2} d -140 b^{3} c^{3}\right)}{1820 \left(b x +a \right)^{\frac{13}{3}} \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,"3/1820*(d*x+c)^(4/3)*(81*b^3*d^3*x^3+351*a*b^2*d^3*x^2-108*b^3*c*d^2*x^2+585*a^2*b*d^3*x-468*a*b^2*c*d^2*x+126*b^3*c^2*d*x+455*a^3*d^3-780*a^2*b*c*d^2+546*a*b^2*c^2*d-140*b^3*c^3)/(b*x+a)^(13/3)/(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"
1582,0,0,522,0.079000," ","int((b*x+a)^(4/3)*(d*x+c)^(1/3),x)","\int \left(b x +a \right)^{\frac{4}{3}} \left(d x +c \right)^{\frac{1}{3}}\, dx"," ",0,"int((b*x+a)^(4/3)*(d*x+c)^(1/3),x)","F"
1583,0,0,490,0.043000," ","int((b*x+a)^(1/3)*(d*x+c)^(1/3),x)","\int \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"
1584,0,0,458,0.042000," ","int((d*x+c)^(1/3)/(b*x+a)^(2/3),x)","\int \frac{\left(d x +c \right)^{\frac{1}{3}}}{\left(b x +a \right)^{\frac{2}{3}}}\, dx"," ",0,"int((d*x+c)^(1/3)/(b*x+a)^(2/3),x)","F"
1585,0,0,450,0.084000," ","int((d*x+c)^(1/3)/(b*x+a)^(5/3),x)","\int \frac{\left(d x +c \right)^{\frac{1}{3}}}{\left(b x +a \right)^{\frac{5}{3}}}\, dx"," ",0,"int((d*x+c)^(1/3)/(b*x+a)^(5/3),x)","F"
1586,0,0,490,0.082000," ","int((d*x+c)^(1/3)/(b*x+a)^(8/3),x)","\int \frac{\left(d x +c \right)^{\frac{1}{3}}}{\left(b x +a \right)^{\frac{8}{3}}}\, dx"," ",0,"int((d*x+c)^(1/3)/(b*x+a)^(8/3),x)","F"
1587,0,0,166,0.063000," ","int((b*x+a)^(4/3)/(d*x+c)^(1/3),x)","\int \frac{\left(b x +a \right)^{\frac{4}{3}}}{\left(d x +c \right)^{\frac{1}{3}}}\, dx"," ",0,"int((b*x+a)^(4/3)/(d*x+c)^(1/3),x)","F"
1588,0,0,132,0.035000," ","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"
1589,0,0,90,0.086000," ","int(1/(b*x+a)^(2/3)/(d*x+c)^(1/3),x)","\int \frac{1}{\left(b x +a \right)^{\frac{2}{3}} \left(d x +c \right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(b*x+a)^(2/3)/(d*x+c)^(1/3),x)","F"
1590,1,27,26,0.006000," ","int(1/(b*x+a)^(5/3)/(d*x+c)^(1/3),x)","\frac{3 \left(d x +c \right)^{\frac{2}{3}}}{2 \left(b x +a \right)^{\frac{2}{3}} \left(a d -b c \right)}"," ",0,"3/2/(b*x+a)^(2/3)*(d*x+c)^(2/3)/(a*d-b*c)","A"
1591,1,54,54,0.004000," ","int(1/(b*x+a)^(8/3)/(d*x+c)^(1/3),x)","\frac{3 \left(d x +c \right)^{\frac{2}{3}} \left(3 b d x +5 a d -2 b c \right)}{10 \left(b x +a \right)^{\frac{5}{3}} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}"," ",0,"3/10*(d*x+c)^(2/3)*(3*b*d*x+5*a*d-2*b*c)/(b*x+a)^(5/3)/(a^2*d^2-2*a*b*c*d+b^2*c^2)","A"
1592,1,105,83,0.007000," ","int(1/(b*x+a)^(11/3)/(d*x+c)^(1/3),x)","\frac{3 \left(d x +c \right)^{\frac{2}{3}} \left(9 b^{2} x^{2} d^{2}+24 a b \,d^{2} x -6 b^{2} c d x +20 a^{2} d^{2}-16 a b c d +5 b^{2} c^{2}\right)}{40 \left(b x +a \right)^{\frac{8}{3}} \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,"3/40*(d*x+c)^(2/3)*(9*b^2*d^2*x^2+24*a*b*d^2*x-6*b^2*c*d*x+20*a^2*d^2-16*a*b*c*d+5*b^2*c^2)/(b*x+a)^(8/3)/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)","A"
1593,1,171,112,0.009000," ","int(1/(b*x+a)^(14/3)/(d*x+c)^(1/3),x)","\frac{3 \left(d x +c \right)^{\frac{2}{3}} \left(81 b^{3} d^{3} x^{3}+297 a \,b^{2} d^{3} x^{2}-54 b^{3} c \,d^{2} x^{2}+396 a^{2} b \,d^{3} x -198 a \,b^{2} c \,d^{2} x +45 b^{3} c^{2} d x +220 a^{3} d^{3}-264 a^{2} b c \,d^{2}+165 a \,b^{2} c^{2} d -40 b^{3} c^{3}\right)}{440 \left(b x +a \right)^{\frac{11}{3}} \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,"3/440*(d*x+c)^(2/3)*(81*b^3*d^3*x^3+297*a*b^2*d^3*x^2-54*b^3*c*d^2*x^2+396*a^2*b*d^3*x-198*a*b^2*c*d^2*x+45*b^3*c^2*d*x+220*a^3*d^3-264*a^2*b*c*d^2+165*a*b^2*c^2*d-40*b^3*c^3)/(b*x+a)^(11/3)/(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"
1594,0,0,1081,0.085000," ","int((b*x+a)^(8/3)/(d*x+c)^(1/3),x)","\int \frac{\left(b x +a \right)^{\frac{8}{3}}}{\left(d x +c \right)^{\frac{1}{3}}}\, dx"," ",0,"int((b*x+a)^(8/3)/(d*x+c)^(1/3),x)","F"
1595,0,0,1052,0.080000," ","int((b*x+a)^(5/3)/(d*x+c)^(1/3),x)","\int \frac{\left(b x +a \right)^{\frac{5}{3}}}{\left(d x +c \right)^{\frac{1}{3}}}\, dx"," ",0,"int((b*x+a)^(5/3)/(d*x+c)^(1/3),x)","F"
1596,0,0,1023,0.083000," ","int((b*x+a)^(2/3)/(d*x+c)^(1/3),x)","\int \frac{\left(b x +a \right)^{\frac{2}{3}}}{\left(d x +c \right)^{\frac{1}{3}}}\, dx"," ",0,"int((b*x+a)^(2/3)/(d*x+c)^(1/3),x)","F"
1597,0,0,995,0.091000," ","int(1/(b*x+a)^(1/3)/(d*x+c)^(1/3),x)","\int \frac{1}{\left(b x +a \right)^{\frac{1}{3}} \left(d x +c \right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(b*x+a)^(1/3)/(d*x+c)^(1/3),x)","F"
1598,0,0,1031,0.086000," ","int(1/(b*x+a)^(4/3)/(d*x+c)^(1/3),x)","\int \frac{1}{\left(b x +a \right)^{\frac{4}{3}} \left(d x +c \right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(b*x+a)^(4/3)/(d*x+c)^(1/3),x)","F"
1599,0,0,1059,0.085000," ","int(1/(b*x+a)^(7/3)/(d*x+c)^(1/3),x)","\int \frac{1}{\left(b x +a \right)^{\frac{7}{3}} \left(d x +c \right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(b*x+a)^(7/3)/(d*x+c)^(1/3),x)","F"
1600,0,0,1088,0.086000," ","int(1/(b*x+a)^(10/3)/(d*x+c)^(1/3),x)","\int \frac{1}{\left(b x +a \right)^{\frac{10}{3}} \left(d x +c \right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(b*x+a)^(10/3)/(d*x+c)^(1/3),x)","F"
1601,0,0,166,0.038000," ","int((b*x+a)^(5/3)/(d*x+c)^(2/3),x)","\int \frac{\left(b x +a \right)^{\frac{5}{3}}}{\left(d x +c \right)^{\frac{2}{3}}}\, dx"," ",0,"int((b*x+a)^(5/3)/(d*x+c)^(2/3),x)","F"
1602,0,0,131,0.033000," ","int((b*x+a)^(2/3)/(d*x+c)^(2/3),x)","\int \frac{\left(b x +a \right)^{\frac{2}{3}}}{\left(d x +c \right)^{\frac{2}{3}}}\, dx"," ",0,"int((b*x+a)^(2/3)/(d*x+c)^(2/3),x)","F"
1603,0,0,90,0.089000," ","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"
1604,1,27,26,0.005000," ","int(1/(b*x+a)^(4/3)/(d*x+c)^(2/3),x)","\frac{3 \left(d x +c \right)^{\frac{1}{3}}}{\left(b x +a \right)^{\frac{1}{3}} \left(a d -b c \right)}"," ",0,"3/(b*x+a)^(1/3)*(d*x+c)^(1/3)/(a*d-b*c)","A"
1605,1,54,54,0.004000," ","int(1/(b*x+a)^(7/3)/(d*x+c)^(2/3),x)","\frac{3 \left(d x +c \right)^{\frac{1}{3}} \left(3 b d x +4 a d -b c \right)}{4 \left(b x +a \right)^{\frac{4}{3}} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}"," ",0,"3/4*(d*x+c)^(1/3)*(3*b*d*x+4*a*d-b*c)/(b*x+a)^(4/3)/(a^2*d^2-2*a*b*c*d+b^2*c^2)","A"
1606,1,105,83,0.007000," ","int(1/(b*x+a)^(10/3)/(d*x+c)^(2/3),x)","\frac{3 \left(d x +c \right)^{\frac{1}{3}} \left(9 b^{2} x^{2} d^{2}+21 a b \,d^{2} x -3 b^{2} c d x +14 a^{2} d^{2}-7 a b c d +2 b^{2} c^{2}\right)}{14 \left(b x +a \right)^{\frac{7}{3}} \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,"3/14*(d*x+c)^(1/3)*(9*b^2*d^2*x^2+21*a*b*d^2*x-3*b^2*c*d*x+14*a^2*d^2-7*a*b*c*d+2*b^2*c^2)/(b*x+a)^(7/3)/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)","A"
1607,1,171,112,0.010000," ","int(1/(b*x+a)^(13/3)/(d*x+c)^(2/3),x)","\frac{3 \left(d x +c \right)^{\frac{1}{3}} \left(81 b^{3} d^{3} x^{3}+270 a \,b^{2} d^{3} x^{2}-27 b^{3} c \,d^{2} x^{2}+315 a^{2} b \,d^{3} x -90 a \,b^{2} c \,d^{2} x +18 b^{3} c^{2} d x +140 a^{3} d^{3}-105 a^{2} b c \,d^{2}+60 a \,b^{2} c^{2} d -14 b^{3} c^{3}\right)}{140 \left(b x +a \right)^{\frac{10}{3}} \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,"3/140*(d*x+c)^(1/3)*(81*b^3*d^3*x^3+270*a*b^2*d^3*x^2-27*b^3*c*d^2*x^2+315*a^2*b*d^3*x-90*a*b^2*c*d^2*x+18*b^3*c^2*d*x+140*a^3*d^3-105*a^2*b*c*d^2+60*a*b^2*c^2*d-14*b^3*c^3)/(b*x+a)^(10/3)/(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"
1608,0,0,516,0.049000," ","int((b*x+a)^(7/3)/(d*x+c)^(2/3),x)","\int \frac{\left(b x +a \right)^{\frac{7}{3}}}{\left(d x +c \right)^{\frac{2}{3}}}\, dx"," ",0,"int((b*x+a)^(7/3)/(d*x+c)^(2/3),x)","F"
1609,0,0,487,0.046000," ","int((b*x+a)^(4/3)/(d*x+c)^(2/3),x)","\int \frac{\left(b x +a \right)^{\frac{4}{3}}}{\left(d x +c \right)^{\frac{2}{3}}}\, dx"," ",0,"int((b*x+a)^(4/3)/(d*x+c)^(2/3),x)","F"
1610,0,0,458,0.038000," ","int((b*x+a)^(1/3)/(d*x+c)^(2/3),x)","\int \frac{\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"
1611,0,0,429,0.086000," ","int(1/(b*x+a)^(2/3)/(d*x+c)^(2/3),x)","\int \frac{1}{\left(b x +a \right)^{\frac{2}{3}} \left(d x +c \right)^{\frac{2}{3}}}\, dx"," ",0,"int(1/(b*x+a)^(2/3)/(d*x+c)^(2/3),x)","F"
1612,0,0,467,0.088000," ","int(1/(b*x+a)^(5/3)/(d*x+c)^(2/3),x)","\int \frac{1}{\left(b x +a \right)^{\frac{5}{3}} \left(d x +c \right)^{\frac{2}{3}}}\, dx"," ",0,"int(1/(b*x+a)^(5/3)/(d*x+c)^(2/3),x)","F"
1613,0,0,494,0.084000," ","int(1/(b*x+a)^(8/3)/(d*x+c)^(2/3),x)","\int \frac{1}{\left(b x +a \right)^{\frac{8}{3}} \left(d x +c \right)^{\frac{2}{3}}}\, dx"," ",0,"int(1/(b*x+a)^(8/3)/(d*x+c)^(2/3),x)","F"
1614,0,0,523,0.092000," ","int(1/(b*x+a)^(11/3)/(d*x+c)^(2/3),x)","\int \frac{1}{\left(b x +a \right)^{\frac{11}{3}} \left(d x +c \right)^{\frac{2}{3}}}\, dx"," ",0,"int(1/(b*x+a)^(11/3)/(d*x+c)^(2/3),x)","F"
1615,0,0,187,0.098000," ","int((b*x+a)^(7/3)/(d*x+c)^(4/3),x)","\int \frac{\left(b x +a \right)^{\frac{7}{3}}}{\left(d x +c \right)^{\frac{4}{3}}}\, dx"," ",0,"int((b*x+a)^(7/3)/(d*x+c)^(4/3),x)","F"
1616,0,0,153,0.099000," ","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"
1617,0,0,109,0.082000," ","int((b*x+a)^(1/3)/(d*x+c)^(4/3),x)","\int \frac{\left(b x +a \right)^{\frac{1}{3}}}{\left(d x +c \right)^{\frac{4}{3}}}\, dx"," ",0,"int((b*x+a)^(1/3)/(d*x+c)^(4/3),x)","F"
1618,1,27,26,0.004000," ","int(1/(b*x+a)^(2/3)/(d*x+c)^(4/3),x)","-\frac{3 \left(b x +a \right)^{\frac{1}{3}}}{\left(d x +c \right)^{\frac{1}{3}} \left(a d -b c \right)}"," ",0,"-3*(b*x+a)^(1/3)/(d*x+c)^(1/3)/(a*d-b*c)","A"
1619,1,53,54,0.005000," ","int(1/(b*x+a)^(5/3)/(d*x+c)^(4/3),x)","-\frac{3 \left(3 b d x +2 a d +b c \right)}{2 \left(b x +a \right)^{\frac{2}{3}} \left(d x +c \right)^{\frac{1}{3}} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}"," ",0,"-3/2*(3*b*d*x+2*a*d+b*c)/(b*x+a)^(2/3)/(d*x+c)^(1/3)/(a^2*d^2-2*a*b*c*d+b^2*c^2)","A"
1620,1,105,83,0.007000," ","int(1/(b*x+a)^(8/3)/(d*x+c)^(4/3),x)","-\frac{3 \left(9 b^{2} x^{2} d^{2}+15 a b \,d^{2} x +3 b^{2} c d x +5 a^{2} d^{2}+5 a b c d -b^{2} c^{2}\right)}{5 \left(b x +a \right)^{\frac{5}{3}} \left(d x +c \right)^{\frac{1}{3}} \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,"-3/5*(9*b^2*d^2*x^2+15*a*b*d^2*x+3*b^2*c*d*x+5*a^2*d^2+5*a*b*c*d-b^2*c^2)/(b*x+a)^(5/3)/(d*x+c)^(1/3)/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)","A"
1621,1,171,112,0.009000," ","int(1/(b*x+a)^(11/3)/(d*x+c)^(4/3),x)","-\frac{3 \left(81 b^{3} d^{3} x^{3}+216 a \,b^{2} d^{3} x^{2}+27 b^{3} c \,d^{2} x^{2}+180 a^{2} b \,d^{3} x +72 a \,b^{2} c \,d^{2} x -9 b^{3} c^{2} d x +40 a^{3} d^{3}+60 a^{2} b c \,d^{2}-24 a \,b^{2} c^{2} d +5 b^{3} c^{3}\right)}{40 \left(b x +a \right)^{\frac{8}{3}} \left(d x +c \right)^{\frac{1}{3}} \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,"-3/40*(81*b^3*d^3*x^3+216*a*b^2*d^3*x^2+27*b^3*c*d^2*x^2+180*a^2*b*d^3*x+72*a*b^2*c*d^2*x-9*b^3*c^2*d*x+40*a^3*d^3+60*a^2*b*c*d^2-24*a*b^2*c^2*d+5*b^3*c^3)/(b*x+a)^(8/3)/(d*x+c)^(1/3)/(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"
1622,0,0,1073,0.084000," ","int((b*x+a)^(8/3)/(d*x+c)^(4/3),x)","\int \frac{\left(b x +a \right)^{\frac{8}{3}}}{\left(d x +c \right)^{\frac{4}{3}}}\, dx"," ",0,"int((b*x+a)^(8/3)/(d*x+c)^(4/3),x)","F"
1623,0,0,1043,0.086000," ","int((b*x+a)^(5/3)/(d*x+c)^(4/3),x)","\int \frac{\left(b x +a \right)^{\frac{5}{3}}}{\left(d x +c \right)^{\frac{4}{3}}}\, dx"," ",0,"int((b*x+a)^(5/3)/(d*x+c)^(4/3),x)","F"
1624,0,0,1015,0.082000," ","int((b*x+a)^(2/3)/(d*x+c)^(4/3),x)","\int \frac{\left(b x +a \right)^{\frac{2}{3}}}{\left(d x +c \right)^{\frac{4}{3}}}\, dx"," ",0,"int((b*x+a)^(2/3)/(d*x+c)^(4/3),x)","F"
1625,0,0,1032,0.083000," ","int(1/(b*x+a)^(1/3)/(d*x+c)^(4/3),x)","\int \frac{1}{\left(b x +a \right)^{\frac{1}{3}} \left(d x +c \right)^{\frac{4}{3}}}\, dx"," ",0,"int(1/(b*x+a)^(1/3)/(d*x+c)^(4/3),x)","F"
1626,0,0,1059,0.087000," ","int(1/(b*x+a)^(4/3)/(d*x+c)^(4/3),x)","\int \frac{1}{\left(b x +a \right)^{\frac{4}{3}} \left(d x +c \right)^{\frac{4}{3}}}\, dx"," ",0,"int(1/(b*x+a)^(4/3)/(d*x+c)^(4/3),x)","F"
1627,0,0,1088,0.087000," ","int(1/(b*x+a)^(7/3)/(d*x+c)^(4/3),x)","\int \frac{1}{\left(b x +a \right)^{\frac{7}{3}} \left(d x +c \right)^{\frac{4}{3}}}\, dx"," ",0,"int(1/(b*x+a)^(7/3)/(d*x+c)^(4/3),x)","F"
1628,1,573,59,0.377000," ","int((x-1)^(1/3)/(x+1)^(1/3),x)","\left(x -1\right)^{\frac{1}{3}} \left(x +1\right)^{\frac{2}{3}}+\frac{\left(-\frac{2 \RootOf \left(\textit{\_Z}^{2}+\textit{\_Z} +1\right) \ln \left(\frac{-2 x^{2} \RootOf \left(\textit{\_Z}^{2}+\textit{\_Z} +1\right)^{2}+x^{2} \RootOf \left(\textit{\_Z}^{2}+\textit{\_Z} +1\right)+2 x \RootOf \left(\textit{\_Z}^{2}+\textit{\_Z} +1\right)^{2}+x^{2}+3 \left(x^{3}-x^{2}-x +1\right)^{\frac{1}{3}} x \RootOf \left(\textit{\_Z}^{2}+\textit{\_Z} +1\right)+3 \left(x^{3}-x^{2}-x +1\right)^{\frac{1}{3}} x -2 x +3 \left(x^{3}-x^{2}-x +1\right)^{\frac{2}{3}} \RootOf \left(\textit{\_Z}^{2}+\textit{\_Z} +1\right)-3 \left(x^{3}-x^{2}-x +1\right)^{\frac{1}{3}} \RootOf \left(\textit{\_Z}^{2}+\textit{\_Z} +1\right)-\RootOf \left(\textit{\_Z}^{2}+\textit{\_Z} +1\right)+3 \left(x^{3}-x^{2}-x +1\right)^{\frac{2}{3}}-3 \left(x^{3}-x^{2}-x +1\right)^{\frac{1}{3}}+1}{x -1}\right)}{3}+\frac{2 \RootOf \left(\textit{\_Z}^{2}+\textit{\_Z} +1\right) \ln \left(-\frac{2 x^{2} \RootOf \left(\textit{\_Z}^{2}+\textit{\_Z} +1\right)^{2}+5 x^{2} \RootOf \left(\textit{\_Z}^{2}+\textit{\_Z} +1\right)-2 x \RootOf \left(\textit{\_Z}^{2}+\textit{\_Z} +1\right)^{2}+2 x^{2}+3 \left(x^{3}-x^{2}-x +1\right)^{\frac{1}{3}} x \RootOf \left(\textit{\_Z}^{2}+\textit{\_Z} +1\right)-4 x \RootOf \left(\textit{\_Z}^{2}+\textit{\_Z} +1\right)+3 \left(x^{3}-x^{2}-x +1\right)^{\frac{2}{3}} \RootOf \left(\textit{\_Z}^{2}+\textit{\_Z} +1\right)-3 \left(x^{3}-x^{2}-x +1\right)^{\frac{1}{3}} \RootOf \left(\textit{\_Z}^{2}+\textit{\_Z} +1\right)-\RootOf \left(\textit{\_Z}^{2}+\textit{\_Z} +1\right)-2}{x -1}\right)}{3}-\frac{2 \ln \left(\frac{-2 x^{2} \RootOf \left(\textit{\_Z}^{2}+\textit{\_Z} +1\right)^{2}+x^{2} \RootOf \left(\textit{\_Z}^{2}+\textit{\_Z} +1\right)+2 x \RootOf \left(\textit{\_Z}^{2}+\textit{\_Z} +1\right)^{2}+x^{2}+3 \left(x^{3}-x^{2}-x +1\right)^{\frac{1}{3}} x \RootOf \left(\textit{\_Z}^{2}+\textit{\_Z} +1\right)+3 \left(x^{3}-x^{2}-x +1\right)^{\frac{1}{3}} x -2 x +3 \left(x^{3}-x^{2}-x +1\right)^{\frac{2}{3}} \RootOf \left(\textit{\_Z}^{2}+\textit{\_Z} +1\right)-3 \left(x^{3}-x^{2}-x +1\right)^{\frac{1}{3}} \RootOf \left(\textit{\_Z}^{2}+\textit{\_Z} +1\right)-\RootOf \left(\textit{\_Z}^{2}+\textit{\_Z} +1\right)+3 \left(x^{3}-x^{2}-x +1\right)^{\frac{2}{3}}-3 \left(x^{3}-x^{2}-x +1\right)^{\frac{1}{3}}+1}{x -1}\right)}{3}\right) \left(\left(x -1\right)^{2} \left(x +1\right)\right)^{\frac{1}{3}}}{\left(x -1\right)^{\frac{2}{3}} \left(x +1\right)^{\frac{1}{3}}}"," ",0,"(x-1)^(1/3)*(x+1)^(2/3)+(2/3*RootOf(_Z^2+_Z+1)*ln(-(2*RootOf(_Z^2+_Z+1)^2*x^2+3*RootOf(_Z^2+_Z+1)*(x^3-x^2-x+1)^(2/3)+3*RootOf(_Z^2+_Z+1)*(x^3-x^2-x+1)^(1/3)*x-2*RootOf(_Z^2+_Z+1)^2*x+5*RootOf(_Z^2+_Z+1)*x^2-3*RootOf(_Z^2+_Z+1)*(x^3-x^2-x+1)^(1/3)-4*RootOf(_Z^2+_Z+1)*x+2*x^2-RootOf(_Z^2+_Z+1)-2)/(x-1))-2/3*ln((-2*RootOf(_Z^2+_Z+1)^2*x^2+3*RootOf(_Z^2+_Z+1)*(x^3-x^2-x+1)^(2/3)+3*RootOf(_Z^2+_Z+1)*(x^3-x^2-x+1)^(1/3)*x+2*RootOf(_Z^2+_Z+1)^2*x+RootOf(_Z^2+_Z+1)*x^2+3*(x^3-x^2-x+1)^(2/3)-3*RootOf(_Z^2+_Z+1)*(x^3-x^2-x+1)^(1/3)+3*(x^3-x^2-x+1)^(1/3)*x+x^2-3*(x^3-x^2-x+1)^(1/3)-RootOf(_Z^2+_Z+1)-2*x+1)/(x-1))*RootOf(_Z^2+_Z+1)-2/3*ln((-2*RootOf(_Z^2+_Z+1)^2*x^2+3*RootOf(_Z^2+_Z+1)*(x^3-x^2-x+1)^(2/3)+3*RootOf(_Z^2+_Z+1)*(x^3-x^2-x+1)^(1/3)*x+2*RootOf(_Z^2+_Z+1)^2*x+RootOf(_Z^2+_Z+1)*x^2+3*(x^3-x^2-x+1)^(2/3)-3*RootOf(_Z^2+_Z+1)*(x^3-x^2-x+1)^(1/3)+3*(x^3-x^2-x+1)^(1/3)*x+x^2-3*(x^3-x^2-x+1)^(1/3)-RootOf(_Z^2+_Z+1)-2*x+1)/(x-1)))/(x-1)^(2/3)*((x-1)^2*(x+1))^(1/3)/(x+1)^(1/3)","C"
1629,0,0,151,0.097000," ","int((b*x+a)^(3/2)*(d*x+c)^(1/4),x)","\int \left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{1}{4}}\, dx"," ",0,"int((b*x+a)^(3/2)*(d*x+c)^(1/4),x)","F"
1630,0,0,119,0.053000," ","int((b*x+a)^(1/2)*(d*x+c)^(1/4),x)","\int \sqrt{b x +a}\, \left(d x +c \right)^{\frac{1}{4}}\, dx"," ",0,"int((b*x+a)^(1/2)*(d*x+c)^(1/4),x)","F"
1631,0,0,89,0.054000," ","int((d*x+c)^(1/4)/(b*x+a)^(1/2),x)","\int \frac{\left(d x +c \right)^{\frac{1}{4}}}{\sqrt{b x +a}}\, dx"," ",0,"int((d*x+c)^(1/4)/(b*x+a)^(1/2),x)","F"
1632,0,0,86,0.084000," ","int((d*x+c)^(1/4)/(b*x+a)^(3/2),x)","\int \frac{\left(d x +c \right)^{\frac{1}{4}}}{\left(b x +a \right)^{\frac{3}{2}}}\, dx"," ",0,"int((d*x+c)^(1/4)/(b*x+a)^(3/2),x)","F"
1633,0,0,117,0.084000," ","int((d*x+c)^(1/4)/(b*x+a)^(5/2),x)","\int \frac{\left(d x +c \right)^{\frac{1}{4}}}{\left(b x +a \right)^{\frac{5}{2}}}\, dx"," ",0,"int((d*x+c)^(1/4)/(b*x+a)^(5/2),x)","F"
1634,0,0,151,0.085000," ","int((d*x+c)^(1/4)/(b*x+a)^(7/2),x)","\int \frac{\left(d x +c \right)^{\frac{1}{4}}}{\left(b x +a \right)^{\frac{7}{2}}}\, dx"," ",0,"int((d*x+c)^(1/4)/(b*x+a)^(7/2),x)","F"
1635,0,0,220,0.082000," ","int((b*x+a)^(3/2)*(d*x+c)^(3/4),x)","\int \left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{3}{4}}\, dx"," ",0,"int((b*x+a)^(3/2)*(d*x+c)^(3/4),x)","F"
1636,0,0,188,0.050000," ","int((b*x+a)^(1/2)*(d*x+c)^(3/4),x)","\int \sqrt{b x +a}\, \left(d x +c \right)^{\frac{3}{4}}\, dx"," ",0,"int((b*x+a)^(1/2)*(d*x+c)^(3/4),x)","F"
1637,0,0,158,0.050000," ","int((d*x+c)^(3/4)/(b*x+a)^(1/2),x)","\int \frac{\left(d x +c \right)^{\frac{3}{4}}}{\sqrt{b x +a}}\, dx"," ",0,"int((d*x+c)^(3/4)/(b*x+a)^(1/2),x)","F"
1638,0,0,152,0.085000," ","int((d*x+c)^(3/4)/(b*x+a)^(3/2),x)","\int \frac{\left(d x +c \right)^{\frac{3}{4}}}{\left(b x +a \right)^{\frac{3}{2}}}\, dx"," ",0,"int((d*x+c)^(3/4)/(b*x+a)^(3/2),x)","F"
1639,0,0,183,0.082000," ","int((d*x+c)^(3/4)/(b*x+a)^(5/2),x)","\int \frac{\left(d x +c \right)^{\frac{3}{4}}}{\left(b x +a \right)^{\frac{5}{2}}}\, dx"," ",0,"int((d*x+c)^(3/4)/(b*x+a)^(5/2),x)","F"
1640,0,0,220,0.086000," ","int((d*x+c)^(3/4)/(b*x+a)^(7/2),x)","\int \frac{\left(d x +c \right)^{\frac{3}{4}}}{\left(b x +a \right)^{\frac{7}{2}}}\, dx"," ",0,"int((d*x+c)^(3/4)/(b*x+a)^(7/2),x)","F"
1641,0,0,180,0.059000," ","int((b*x+a)^(3/2)*(d*x+c)^(5/4),x)","\int \left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{5}{4}}\, dx"," ",0,"int((b*x+a)^(3/2)*(d*x+c)^(5/4),x)","F"
1642,0,0,148,0.056000," ","int((b*x+a)^(1/2)*(d*x+c)^(5/4),x)","\int \sqrt{b x +a}\, \left(d x +c \right)^{\frac{5}{4}}\, dx"," ",0,"int((b*x+a)^(1/2)*(d*x+c)^(5/4),x)","F"
1643,0,0,116,0.057000," ","int((d*x+c)^(5/4)/(b*x+a)^(1/2),x)","\int \frac{\left(d x +c \right)^{\frac{5}{4}}}{\sqrt{b x +a}}\, dx"," ",0,"int((d*x+c)^(5/4)/(b*x+a)^(1/2),x)","F"
1644,0,0,106,0.118000," ","int((d*x+c)^(5/4)/(b*x+a)^(3/2),x)","\int \frac{\left(d x +c \right)^{\frac{5}{4}}}{\left(b x +a \right)^{\frac{3}{2}}}\, dx"," ",0,"int((d*x+c)^(5/4)/(b*x+a)^(3/2),x)","F"
1645,0,0,107,0.086000," ","int((d*x+c)^(5/4)/(b*x+a)^(5/2),x)","\int \frac{\left(d x +c \right)^{\frac{5}{4}}}{\left(b x +a \right)^{\frac{5}{2}}}\, dx"," ",0,"int((d*x+c)^(5/4)/(b*x+a)^(5/2),x)","F"
1646,0,0,141,0.089000," ","int((d*x+c)^(5/4)/(b*x+a)^(7/2),x)","\int \frac{\left(d x +c \right)^{\frac{5}{4}}}{\left(b x +a \right)^{\frac{7}{2}}}\, dx"," ",0,"int((d*x+c)^(5/4)/(b*x+a)^(7/2),x)","F"
1647,0,0,173,0.082000," ","int((d*x+c)^(5/4)/(b*x+a)^(9/2),x)","\int \frac{\left(d x +c \right)^{\frac{5}{4}}}{\left(b x +a \right)^{\frac{9}{2}}}\, dx"," ",0,"int((d*x+c)^(5/4)/(b*x+a)^(9/2),x)","F"
1648,0,0,214,0.053000," ","int((b*x+a)^(5/2)/(d*x+c)^(1/4),x)","\int \frac{\left(b x +a \right)^{\frac{5}{2}}}{\left(d x +c \right)^{\frac{1}{4}}}\, dx"," ",0,"int((b*x+a)^(5/2)/(d*x+c)^(1/4),x)","F"
1649,0,0,185,0.049000," ","int((b*x+a)^(3/2)/(d*x+c)^(1/4),x)","\int \frac{\left(b x +a \right)^{\frac{3}{2}}}{\left(d x +c \right)^{\frac{1}{4}}}\, dx"," ",0,"int((b*x+a)^(3/2)/(d*x+c)^(1/4),x)","F"
1650,0,0,158,0.046000," ","int((b*x+a)^(1/2)/(d*x+c)^(1/4),x)","\int \frac{\sqrt{b x +a}}{\left(d x +c \right)^{\frac{1}{4}}}\, dx"," ",0,"int((b*x+a)^(1/2)/(d*x+c)^(1/4),x)","F"
1651,0,0,139,0.085000," ","int(1/(b*x+a)^(1/2)/(d*x+c)^(1/4),x)","\int \frac{1}{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(1/2)/(d*x+c)^(1/4),x)","F"
1652,0,0,159,0.085000," ","int(1/(b*x+a)^(3/2)/(d*x+c)^(1/4),x)","\int \frac{1}{\left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(3/2)/(d*x+c)^(1/4),x)","F"
1653,0,0,186,0.087000," ","int(1/(b*x+a)^(5/2)/(d*x+c)^(1/4),x)","\int \frac{1}{\left(b x +a \right)^{\frac{5}{2}} \left(d x +c \right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(5/2)/(d*x+c)^(1/4),x)","F"
1654,0,0,116,0.056000," ","int((b*x+a)^(3/2)/(d*x+c)^(3/4),x)","\int \frac{\left(b x +a \right)^{\frac{3}{2}}}{\left(d x +c \right)^{\frac{3}{4}}}\, dx"," ",0,"int((b*x+a)^(3/2)/(d*x+c)^(3/4),x)","F"
1655,0,0,89,0.049000," ","int((b*x+a)^(1/2)/(d*x+c)^(3/4),x)","\int \frac{\sqrt{b x +a}}{\left(d x +c \right)^{\frac{3}{4}}}\, dx"," ",0,"int((b*x+a)^(1/2)/(d*x+c)^(3/4),x)","F"
1656,0,0,69,0.087000," ","int(1/(b*x+a)^(1/2)/(d*x+c)^(3/4),x)","\int \frac{1}{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(1/2)/(d*x+c)^(3/4),x)","F"
1657,0,0,93,0.086000," ","int(1/(b*x+a)^(3/2)/(d*x+c)^(3/4),x)","\int \frac{1}{\left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(3/2)/(d*x+c)^(3/4),x)","F"
1658,0,0,121,0.083000," ","int(1/(b*x+a)^(5/2)/(d*x+c)^(3/4),x)","\int \frac{1}{\left(b x +a \right)^{\frac{5}{2}} \left(d x +c \right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(5/2)/(d*x+c)^(3/4),x)","F"
1659,0,0,206,0.112000," ","int((b*x+a)^(5/2)/(d*x+c)^(5/4),x)","\int \frac{\left(b x +a \right)^{\frac{5}{2}}}{\left(d x +c \right)^{\frac{5}{4}}}\, dx"," ",0,"int((b*x+a)^(5/2)/(d*x+c)^(5/4),x)","F"
1660,0,0,178,0.114000," ","int((b*x+a)^(3/2)/(d*x+c)^(5/4),x)","\int \frac{\left(b x +a \right)^{\frac{3}{2}}}{\left(d x +c \right)^{\frac{5}{4}}}\, dx"," ",0,"int((b*x+a)^(3/2)/(d*x+c)^(5/4),x)","F"
1661,0,0,158,0.086000," ","int((b*x+a)^(1/2)/(d*x+c)^(5/4),x)","\int \frac{\sqrt{b x +a}}{\left(d x +c \right)^{\frac{5}{4}}}\, dx"," ",0,"int((b*x+a)^(1/2)/(d*x+c)^(5/4),x)","F"
1662,0,0,165,0.088000," ","int(1/(b*x+a)^(1/2)/(d*x+c)^(5/4),x)","\int \frac{1}{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{5}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(1/2)/(d*x+c)^(5/4),x)","F"
1663,0,0,186,0.093000," ","int(1/(b*x+a)^(3/2)/(d*x+c)^(5/4),x)","\int \frac{1}{\left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{5}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(3/2)/(d*x+c)^(5/4),x)","F"
1664,0,0,217,0.085000," ","int(1/(b*x+a)^(5/2)/(d*x+c)^(5/4),x)","\int \frac{1}{\left(b x +a \right)^{\frac{5}{2}} \left(d x +c \right)^{\frac{5}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(5/2)/(d*x+c)^(5/4),x)","F"
1665,0,0,167,0.115000," ","int((b*x+a)^(7/2)/(d*x+c)^(7/4),x)","\int \frac{\left(b x +a \right)^{\frac{7}{2}}}{\left(d x +c \right)^{\frac{7}{4}}}\, dx"," ",0,"int((b*x+a)^(7/2)/(d*x+c)^(7/4),x)","F"
1666,0,0,109,0.118000," ","int((b*x+a)^(3/2)/(d*x+c)^(7/4),x)","\int \frac{\left(b x +a \right)^{\frac{3}{2}}}{\left(d x +c \right)^{\frac{7}{4}}}\, dx"," ",0,"int((b*x+a)^(3/2)/(d*x+c)^(7/4),x)","F"
1667,0,0,89,0.084000," ","int((b*x+a)^(1/2)/(d*x+c)^(7/4),x)","\int \frac{\sqrt{b x +a}}{\left(d x +c \right)^{\frac{7}{4}}}\, dx"," ",0,"int((b*x+a)^(1/2)/(d*x+c)^(7/4),x)","F"
1668,0,0,96,0.086000," ","int(1/(b*x+a)^(1/2)/(d*x+c)^(7/4),x)","\int \frac{1}{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{7}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(1/2)/(d*x+c)^(7/4),x)","F"
1669,0,0,120,0.082000," ","int(1/(b*x+a)^(3/2)/(d*x+c)^(7/4),x)","\int \frac{1}{\left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{7}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(3/2)/(d*x+c)^(7/4),x)","F"
1670,0,0,150,0.085000," ","int(1/(b*x+a)^(5/2)/(d*x+c)^(7/4),x)","\int \frac{1}{\left(b x +a \right)^{\frac{5}{2}} \left(d x +c \right)^{\frac{7}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(5/2)/(d*x+c)^(7/4),x)","F"
1671,0,0,230,0.153000," ","int((b*x+a)^(7/2)/(d*x+c)^(9/4),x)","\int \frac{\left(b x +a \right)^{\frac{7}{2}}}{\left(d x +c \right)^{\frac{9}{4}}}\, dx"," ",0,"int((b*x+a)^(7/2)/(d*x+c)^(9/4),x)","F"
1672,0,0,200,0.136000," ","int((b*x+a)^(5/2)/(d*x+c)^(9/4),x)","\int \frac{\left(b x +a \right)^{\frac{5}{2}}}{\left(d x +c \right)^{\frac{9}{4}}}\, dx"," ",0,"int((b*x+a)^(5/2)/(d*x+c)^(9/4),x)","F"
1673,0,0,178,0.085000," ","int((b*x+a)^(3/2)/(d*x+c)^(9/4),x)","\int \frac{\left(b x +a \right)^{\frac{3}{2}}}{\left(d x +c \right)^{\frac{9}{4}}}\, dx"," ",0,"int((b*x+a)^(3/2)/(d*x+c)^(9/4),x)","F"
1674,0,0,188,0.089000," ","int((b*x+a)^(1/2)/(d*x+c)^(9/4),x)","\int \frac{\sqrt{b x +a}}{\left(d x +c \right)^{\frac{9}{4}}}\, dx"," ",0,"int((b*x+a)^(1/2)/(d*x+c)^(9/4),x)","F"
1675,0,0,192,0.096000," ","int(1/(b*x+a)^(1/2)/(d*x+c)^(9/4),x)","\int \frac{1}{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{9}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(1/2)/(d*x+c)^(9/4),x)","F"
1676,0,0,214,0.083000," ","int(1/(b*x+a)^(3/2)/(d*x+c)^(9/4),x)","\int \frac{1}{\left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{9}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(3/2)/(d*x+c)^(9/4),x)","F"
1677,0,0,247,0.088000," ","int(1/(b*x+a)^(5/2)/(d*x+c)^(9/4),x)","\int \frac{1}{\left(b x +a \right)^{\frac{5}{2}} \left(d x +c \right)^{\frac{9}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(5/2)/(d*x+c)^(9/4),x)","F"
1678,0,0,159,0.080000," ","int((b*x+a)^(3/4)*(d*x+c)^(5/4),x)","\int \left(b x +a \right)^{\frac{3}{4}} \left(d x +c \right)^{\frac{5}{4}}\, dx"," ",0,"int((b*x+a)^(3/4)*(d*x+c)^(5/4),x)","F"
1679,0,0,127,0.045000," ","int((d*x+c)^(5/4)/(b*x+a)^(1/4),x)","\int \frac{\left(d x +c \right)^{\frac{5}{4}}}{\left(b x +a \right)^{\frac{1}{4}}}\, dx"," ",0,"int((d*x+c)^(5/4)/(b*x+a)^(1/4),x)","F"
1680,0,0,116,0.105000," ","int((d*x+c)^(5/4)/(b*x+a)^(5/4),x)","\int \frac{\left(d x +c \right)^{\frac{5}{4}}}{\left(b x +a \right)^{\frac{5}{4}}}\, dx"," ",0,"int((d*x+c)^(5/4)/(b*x+a)^(5/4),x)","F"
1681,0,0,100,0.092000," ","int((d*x+c)^(5/4)/(b*x+a)^(9/4),x)","\int \frac{\left(d x +c \right)^{\frac{5}{4}}}{\left(b x +a \right)^{\frac{9}{4}}}\, dx"," ",0,"int((d*x+c)^(5/4)/(b*x+a)^(9/4),x)","F"
1682,1,27,26,0.004000," ","int((d*x+c)^(5/4)/(b*x+a)^(13/4),x)","\frac{4 \left(d x +c \right)^{\frac{9}{4}}}{9 \left(b x +a \right)^{\frac{9}{4}} \left(a d -b c \right)}"," ",0,"4/9/(b*x+a)^(9/4)*(d*x+c)^(9/4)/(a*d-b*c)","A"
1683,1,54,54,0.006000," ","int((d*x+c)^(5/4)/(b*x+a)^(17/4),x)","\frac{4 \left(d x +c \right)^{\frac{9}{4}} \left(4 b d x +13 a d -9 b c \right)}{117 \left(b x +a \right)^{\frac{13}{4}} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}"," ",0,"4/117*(d*x+c)^(9/4)*(4*b*d*x+13*a*d-9*b*c)/(b*x+a)^(13/4)/(a^2*d^2-2*a*b*c*d+b^2*c^2)","A"
1684,1,105,83,0.006000," ","int((d*x+c)^(5/4)/(b*x+a)^(21/4),x)","\frac{4 \left(d x +c \right)^{\frac{9}{4}} \left(32 b^{2} x^{2} d^{2}+136 a b \,d^{2} x -72 b^{2} c d x +221 a^{2} d^{2}-306 a b c d +117 b^{2} c^{2}\right)}{1989 \left(b x +a \right)^{\frac{17}{4}} \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,"4/1989*(d*x+c)^(9/4)*(32*b^2*d^2*x^2+136*a*b*d^2*x-72*b^2*c*d*x+221*a^2*d^2-306*a*b*c*d+117*b^2*c^2)/(b*x+a)^(17/4)/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)","A"
1685,1,171,112,0.013000," ","int((d*x+c)^(5/4)/(b*x+a)^(25/4),x)","\frac{4 \left(d x +c \right)^{\frac{9}{4}} \left(128 b^{3} d^{3} x^{3}+672 a \,b^{2} d^{3} x^{2}-288 b^{3} c \,d^{2} x^{2}+1428 a^{2} b \,d^{3} x -1512 a \,b^{2} c \,d^{2} x +468 b^{3} c^{2} d x +1547 a^{3} d^{3}-3213 a^{2} b c \,d^{2}+2457 a \,b^{2} c^{2} d -663 b^{3} c^{3}\right)}{13923 \left(b x +a \right)^{\frac{21}{4}} \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,"4/13923*(d*x+c)^(9/4)*(128*b^3*d^3*x^3+672*a*b^2*d^3*x^2-288*b^3*c*d^2*x^2+1428*a^2*b*d^3*x-1512*a*b^2*c*d^2*x+468*b^3*c^2*d*x+1547*a^3*d^3-3213*a^2*b*c*d^2+2457*a*b^2*c^2*d-663*b^3*c^3)/(b*x+a)^(21/4)/(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"
1686,0,0,423,0.106000," ","int((b*x+a)^(5/4)*(d*x+c)^(5/4),x)","\int \left(b x +a \right)^{\frac{5}{4}} \left(d x +c \right)^{\frac{5}{4}}\, dx"," ",0,"int((b*x+a)^(5/4)*(d*x+c)^(5/4),x)","F"
1687,0,0,391,0.058000," ","int((b*x+a)^(1/4)*(d*x+c)^(5/4),x)","\int \left(b x +a \right)^{\frac{1}{4}} \left(d x +c \right)^{\frac{5}{4}}\, dx"," ",0,"int((b*x+a)^(1/4)*(d*x+c)^(5/4),x)","F"
1688,0,0,359,0.058000," ","int((d*x+c)^(5/4)/(b*x+a)^(3/4),x)","\int \frac{\left(d x +c \right)^{\frac{5}{4}}}{\left(b x +a \right)^{\frac{3}{4}}}\, dx"," ",0,"int((d*x+c)^(5/4)/(b*x+a)^(3/4),x)","F"
1689,0,0,352,0.121000," ","int((d*x+c)^(5/4)/(b*x+a)^(7/4),x)","\int \frac{\left(d x +c \right)^{\frac{5}{4}}}{\left(b x +a \right)^{\frac{7}{4}}}\, dx"," ",0,"int((d*x+c)^(5/4)/(b*x+a)^(7/4),x)","F"
1690,0,0,352,0.087000," ","int((d*x+c)^(5/4)/(b*x+a)^(11/4),x)","\int \frac{\left(d x +c \right)^{\frac{5}{4}}}{\left(b x +a \right)^{\frac{11}{4}}}\, dx"," ",0,"int((d*x+c)^(5/4)/(b*x+a)^(11/4),x)","F"
1691,0,0,384,0.088000," ","int((d*x+c)^(5/4)/(b*x+a)^(15/4),x)","\int \frac{\left(d x +c \right)^{\frac{5}{4}}}{\left(b x +a \right)^{\frac{15}{4}}}\, dx"," ",0,"int((d*x+c)^(5/4)/(b*x+a)^(15/4),x)","F"
1692,0,0,416,0.085000," ","int((d*x+c)^(5/4)/(b*x+a)^(19/4),x)","\int \frac{\left(d x +c \right)^{\frac{5}{4}}}{\left(b x +a \right)^{\frac{19}{4}}}\, dx"," ",0,"int((d*x+c)^(5/4)/(b*x+a)^(19/4),x)","F"
1693,0,0,127,0.077000," ","int((b*x+a)^(5/4)/(d*x+c)^(1/4),x)","\int \frac{\left(b x +a \right)^{\frac{5}{4}}}{\left(d x +c \right)^{\frac{1}{4}}}\, dx"," ",0,"int((b*x+a)^(5/4)/(d*x+c)^(1/4),x)","F"
1694,0,0,95,0.042000," ","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"
1695,0,0,61,0.092000," ","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"
1696,1,27,26,0.005000," ","int(1/(b*x+a)^(7/4)/(d*x+c)^(1/4),x)","\frac{4 \left(d x +c \right)^{\frac{3}{4}}}{3 \left(b x +a \right)^{\frac{3}{4}} \left(a d -b c \right)}"," ",0,"4/3/(b*x+a)^(3/4)*(d*x+c)^(3/4)/(a*d-b*c)","A"
1697,1,54,54,0.005000," ","int(1/(b*x+a)^(11/4)/(d*x+c)^(1/4),x)","\frac{4 \left(d x +c \right)^{\frac{3}{4}} \left(4 b d x +7 a d -3 b c \right)}{21 \left(b x +a \right)^{\frac{7}{4}} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}"," ",0,"4/21*(d*x+c)^(3/4)*(4*b*d*x+7*a*d-3*b*c)/(b*x+a)^(7/4)/(a^2*d^2-2*a*b*c*d+b^2*c^2)","A"
1698,1,105,83,0.009000," ","int(1/(b*x+a)^(15/4)/(d*x+c)^(1/4),x)","\frac{4 \left(d x +c \right)^{\frac{3}{4}} \left(32 b^{2} x^{2} d^{2}+88 a b \,d^{2} x -24 b^{2} c d x +77 a^{2} d^{2}-66 a b c d +21 b^{2} c^{2}\right)}{231 \left(b x +a \right)^{\frac{11}{4}} \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,"4/231*(d*x+c)^(3/4)*(32*b^2*d^2*x^2+88*a*b*d^2*x-24*b^2*c*d*x+77*a^2*d^2-66*a*b*c*d+21*b^2*c^2)/(b*x+a)^(11/4)/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)","A"
1699,1,171,112,0.010000," ","int(1/(b*x+a)^(19/4)/(d*x+c)^(1/4),x)","\frac{4 \left(d x +c \right)^{\frac{3}{4}} \left(128 b^{3} d^{3} x^{3}+480 a \,b^{2} d^{3} x^{2}-96 b^{3} c \,d^{2} x^{2}+660 a^{2} b \,d^{3} x -360 a \,b^{2} c \,d^{2} x +84 b^{3} c^{2} d x +385 a^{3} d^{3}-495 a^{2} b c \,d^{2}+315 a \,b^{2} c^{2} d -77 b^{3} c^{3}\right)}{1155 \left(b x +a \right)^{\frac{15}{4}} \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,"4/1155*(d*x+c)^(3/4)*(128*b^3*d^3*x^3+480*a*b^2*d^3*x^2-96*b^3*c*d^2*x^2+660*a^2*b*d^3*x-360*a*b^2*c*d^2*x+84*b^3*c^2*d*x+385*a^3*d^3-495*a^2*b*c*d^2+315*a*b^2*c^2*d-77*b^3*c^3)/(b*x+a)^(15/4)/(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"
1700,0,0,795,0.088000," ","int((b*x+a)^(7/4)/(d*x+c)^(1/4),x)","\int \frac{\left(b x +a \right)^{\frac{7}{4}}}{\left(d x +c \right)^{\frac{1}{4}}}\, dx"," ",0,"int((b*x+a)^(7/4)/(d*x+c)^(1/4),x)","F"
1701,0,0,760,0.090000," ","int((b*x+a)^(3/4)/(d*x+c)^(1/4),x)","\int \frac{\left(b x +a \right)^{\frac{3}{4}}}{\left(d x +c \right)^{\frac{1}{4}}}\, dx"," ",0,"int((b*x+a)^(3/4)/(d*x+c)^(1/4),x)","F"
1702,0,0,751,0.088000," ","int(1/(b*x+a)^(1/4)/(d*x+c)^(1/4),x)","\int \frac{1}{\left(b x +a \right)^{\frac{1}{4}} \left(d x +c \right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(1/4)/(d*x+c)^(1/4),x)","F"
1703,0,0,776,0.084000," ","int(1/(b*x+a)^(5/4)/(d*x+c)^(1/4),x)","\int \frac{1}{\left(b x +a \right)^{\frac{5}{4}} \left(d x +c \right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(5/4)/(d*x+c)^(1/4),x)","F"
1704,0,0,804,0.098000," ","int(1/(b*x+a)^(9/4)/(d*x+c)^(1/4),x)","\int \frac{1}{\left(b x +a \right)^{\frac{9}{4}} \left(d x +c \right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(9/4)/(d*x+c)^(1/4),x)","F"
1705,0,0,127,0.046000," ","int((b*x+a)^(7/4)/(d*x+c)^(3/4),x)","\int \frac{\left(b x +a \right)^{\frac{7}{4}}}{\left(d x +c \right)^{\frac{3}{4}}}\, dx"," ",0,"int((b*x+a)^(7/4)/(d*x+c)^(3/4),x)","F"
1706,0,0,95,0.042000," ","int((b*x+a)^(3/4)/(d*x+c)^(3/4),x)","\int \frac{\left(b x +a \right)^{\frac{3}{4}}}{\left(d x +c \right)^{\frac{3}{4}}}\, dx"," ",0,"int((b*x+a)^(3/4)/(d*x+c)^(3/4),x)","F"
1707,0,0,61,0.092000," ","int(1/(b*x+a)^(1/4)/(d*x+c)^(3/4),x)","\int \frac{1}{\left(b x +a \right)^{\frac{1}{4}} \left(d x +c \right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(1/4)/(d*x+c)^(3/4),x)","F"
1708,1,27,26,0.005000," ","int(1/(b*x+a)^(5/4)/(d*x+c)^(3/4),x)","\frac{4 \left(d x +c \right)^{\frac{1}{4}}}{\left(b x +a \right)^{\frac{1}{4}} \left(a d -b c \right)}"," ",0,"4/(b*x+a)^(1/4)*(d*x+c)^(1/4)/(a*d-b*c)","A"
1709,1,54,54,0.005000," ","int(1/(b*x+a)^(9/4)/(d*x+c)^(3/4),x)","\frac{4 \left(d x +c \right)^{\frac{1}{4}} \left(4 b d x +5 a d -b c \right)}{5 \left(b x +a \right)^{\frac{5}{4}} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}"," ",0,"4/5*(d*x+c)^(1/4)*(4*b*d*x+5*a*d-b*c)/(b*x+a)^(5/4)/(a^2*d^2-2*a*b*c*d+b^2*c^2)","A"
1710,1,105,83,0.007000," ","int(1/(b*x+a)^(13/4)/(d*x+c)^(3/4),x)","\frac{4 \left(d x +c \right)^{\frac{1}{4}} \left(32 b^{2} x^{2} d^{2}+72 a b \,d^{2} x -8 b^{2} c d x +45 a^{2} d^{2}-18 a b c d +5 b^{2} c^{2}\right)}{45 \left(b x +a \right)^{\frac{9}{4}} \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,"4/45*(d*x+c)^(1/4)*(32*b^2*d^2*x^2+72*a*b*d^2*x-8*b^2*c*d*x+45*a^2*d^2-18*a*b*c*d+5*b^2*c^2)/(b*x+a)^(9/4)/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)","A"
1711,1,171,112,0.010000," ","int(1/(b*x+a)^(17/4)/(d*x+c)^(3/4),x)","\frac{4 \left(d x +c \right)^{\frac{1}{4}} \left(128 b^{3} d^{3} x^{3}+416 a \,b^{2} d^{3} x^{2}-32 b^{3} c \,d^{2} x^{2}+468 a^{2} b \,d^{3} x -104 a \,b^{2} c \,d^{2} x +20 b^{3} c^{2} d x +195 a^{3} d^{3}-117 a^{2} b c \,d^{2}+65 a \,b^{2} c^{2} d -15 b^{3} c^{3}\right)}{195 \left(b x +a \right)^{\frac{13}{4}} \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,"4/195*(d*x+c)^(1/4)*(128*b^3*d^3*x^3+416*a*b^2*d^3*x^2-32*b^3*c*d^2*x^2+468*a^2*b*d^3*x-104*a*b^2*c*d^2*x+20*b^3*c^2*d*x+195*a^3*d^3-117*a^2*b*c*d^2+65*a*b^2*c^2*d-15*b^3*c^3)/(b*x+a)^(13/4)/(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"
1712,0,0,359,0.059000," ","int((b*x+a)^(5/4)/(d*x+c)^(3/4),x)","\int \frac{\left(b x +a \right)^{\frac{5}{4}}}{\left(d x +c \right)^{\frac{3}{4}}}\, dx"," ",0,"int((b*x+a)^(5/4)/(d*x+c)^(3/4),x)","F"
1713,0,0,332,0.056000," ","int((b*x+a)^(1/4)/(d*x+c)^(3/4),x)","\int \frac{\left(b x +a \right)^{\frac{1}{4}}}{\left(d x +c \right)^{\frac{3}{4}}}\, dx"," ",0,"int((b*x+a)^(1/4)/(d*x+c)^(3/4),x)","F"
1714,0,0,311,0.091000," ","int(1/(b*x+a)^(3/4)/(d*x+c)^(3/4),x)","\int \frac{1}{\left(b x +a \right)^{\frac{3}{4}} \left(d x +c \right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(3/4)/(d*x+c)^(3/4),x)","F"
1715,0,0,339,0.095000," ","int(1/(b*x+a)^(7/4)/(d*x+c)^(3/4),x)","\int \frac{1}{\left(b x +a \right)^{\frac{7}{4}} \left(d x +c \right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(7/4)/(d*x+c)^(3/4),x)","F"
1716,0,0,366,0.091000," ","int(1/(b*x+a)^(11/4)/(d*x+c)^(3/4),x)","\int \frac{1}{\left(b x +a \right)^{\frac{11}{4}} \left(d x +c \right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(11/4)/(d*x+c)^(3/4),x)","F"
1717,0,0,116,0.106000," ","int((b*x+a)^(5/4)/(d*x+c)^(5/4),x)","\int \frac{\left(b x +a \right)^{\frac{5}{4}}}{\left(d x +c \right)^{\frac{5}{4}}}\, dx"," ",0,"int((b*x+a)^(5/4)/(d*x+c)^(5/4),x)","F"
1718,0,0,80,0.089000," ","int((b*x+a)^(1/4)/(d*x+c)^(5/4),x)","\int \frac{\left(b x +a \right)^{\frac{1}{4}}}{\left(d x +c \right)^{\frac{5}{4}}}\, dx"," ",0,"int((b*x+a)^(1/4)/(d*x+c)^(5/4),x)","F"
1719,1,27,26,0.005000," ","int(1/(b*x+a)^(3/4)/(d*x+c)^(5/4),x)","-\frac{4 \left(b x +a \right)^{\frac{1}{4}}}{\left(d x +c \right)^{\frac{1}{4}} \left(a d -b c \right)}"," ",0,"-4*(b*x+a)^(1/4)/(d*x+c)^(1/4)/(a*d-b*c)","A"
1720,1,53,54,0.006000," ","int(1/(b*x+a)^(7/4)/(d*x+c)^(5/4),x)","-\frac{4 \left(4 b d x +3 a d +b c \right)}{3 \left(b x +a \right)^{\frac{3}{4}} \left(d x +c \right)^{\frac{1}{4}} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}"," ",0,"-4/3*(4*b*d*x+3*a*d+b*c)/(b*x+a)^(3/4)/(d*x+c)^(1/4)/(a^2*d^2-2*a*b*c*d+b^2*c^2)","A"
1721,1,105,83,0.007000," ","int(1/(b*x+a)^(11/4)/(d*x+c)^(5/4),x)","-\frac{4 \left(32 b^{2} x^{2} d^{2}+56 a b \,d^{2} x +8 b^{2} c d x +21 a^{2} d^{2}+14 a b c d -3 b^{2} c^{2}\right)}{21 \left(b x +a \right)^{\frac{7}{4}} \left(d x +c \right)^{\frac{1}{4}} \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,"-4/21*(32*b^2*d^2*x^2+56*a*b*d^2*x+8*b^2*c*d*x+21*a^2*d^2+14*a*b*c*d-3*b^2*c^2)/(b*x+a)^(7/4)/(d*x+c)^(1/4)/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)","A"
1722,1,171,112,0.010000," ","int(1/(b*x+a)^(15/4)/(d*x+c)^(5/4),x)","-\frac{4 \left(128 b^{3} d^{3} x^{3}+352 a \,b^{2} d^{3} x^{2}+32 b^{3} c \,d^{2} x^{2}+308 a^{2} b \,d^{3} x +88 a \,b^{2} c \,d^{2} x -12 b^{3} c^{2} d x +77 a^{3} d^{3}+77 a^{2} b c \,d^{2}-33 a \,b^{2} c^{2} d +7 b^{3} c^{3}\right)}{77 \left(b x +a \right)^{\frac{11}{4}} \left(d x +c \right)^{\frac{1}{4}} \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,"-4/77*(128*b^3*d^3*x^3+352*a*b^2*d^3*x^2+32*b^3*c*d^2*x^2+308*a^2*b*d^3*x+88*a*b^2*c*d^2*x-12*b^3*c^2*d*x+77*a^3*d^3+77*a^2*b*c*d^2-33*a*b^2*c^2*d+7*b^3*c^3)/(b*x+a)^(11/4)/(d*x+c)^(1/4)/(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"
1723,0,0,816,0.095000," ","int((b*x+a)^(11/4)/(d*x+c)^(5/4),x)","\int \frac{\left(b x +a \right)^{\frac{11}{4}}}{\left(d x +c \right)^{\frac{5}{4}}}\, dx"," ",0,"int((b*x+a)^(11/4)/(d*x+c)^(5/4),x)","F"
1724,0,0,780,0.097000," ","int((b*x+a)^(7/4)/(d*x+c)^(5/4),x)","\int \frac{\left(b x +a \right)^{\frac{7}{4}}}{\left(d x +c \right)^{\frac{5}{4}}}\, dx"," ",0,"int((b*x+a)^(7/4)/(d*x+c)^(5/4),x)","F"
1725,0,0,770,0.092000," ","int((b*x+a)^(3/4)/(d*x+c)^(5/4),x)","\int \frac{\left(b x +a \right)^{\frac{3}{4}}}{\left(d x +c \right)^{\frac{5}{4}}}\, dx"," ",0,"int((b*x+a)^(3/4)/(d*x+c)^(5/4),x)","F"
1726,0,0,777,0.091000," ","int(1/(b*x+a)^(1/4)/(d*x+c)^(5/4),x)","\int \frac{1}{\left(b x +a \right)^{\frac{1}{4}} \left(d x +c \right)^{\frac{5}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(1/4)/(d*x+c)^(5/4),x)","F"
1727,0,0,804,0.090000," ","int(1/(b*x+a)^(5/4)/(d*x+c)^(5/4),x)","\int \frac{1}{\left(b x +a \right)^{\frac{5}{4}} \left(d x +c \right)^{\frac{5}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(5/4)/(d*x+c)^(5/4),x)","F"
1728,0,0,833,0.092000," ","int(1/(b*x+a)^(9/4)/(d*x+c)^(5/4),x)","\int \frac{1}{\left(b x +a \right)^{\frac{9}{4}} \left(d x +c \right)^{\frac{5}{4}}}\, dx"," ",0,"int(1/(b*x+a)^(9/4)/(d*x+c)^(5/4),x)","F"
1729,0,0,200,0.088000," ","int(1/(-a*x+1)^(1/4)/(b*x+1)^(3/4),x)","\int \frac{1}{\left(-a x +1\right)^{\frac{1}{4}} \left(b x +1\right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(-a*x+1)^(1/4)/(b*x+1)^(3/4),x)","F"
1730,0,0,154,0.082000," ","int(1/(-a*x+1)^(1/4)/(a*x+1)^(3/4),x)","\int \frac{1}{\left(-a x +1\right)^{\frac{1}{4}} \left(a x +1\right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(-a*x+1)^(1/4)/(a*x+1)^(3/4),x)","F"
1731,0,0,62,0.194000," ","int((b*x+a)^(3/2)/(d*x+c)^(1/5),x)","\int \frac{\left(b x +a \right)^{\frac{3}{2}}}{\left(d x +c \right)^{\frac{1}{5}}}\, dx"," ",0,"int((b*x+a)^(3/2)/(d*x+c)^(1/5),x)","F"
1732,0,0,62,0.092000," ","int((b*x+a)^(1/2)/(d*x+c)^(1/5),x)","\int \frac{\sqrt{b x +a}}{\left(d x +c \right)^{\frac{1}{5}}}\, dx"," ",0,"int((b*x+a)^(1/2)/(d*x+c)^(1/5),x)","F"
1733,0,0,62,0.092000," ","int(1/(b*x+a)^(1/2)/(d*x+c)^(1/5),x)","\int \frac{1}{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{1}{5}}}\, dx"," ",0,"int(1/(b*x+a)^(1/2)/(d*x+c)^(1/5),x)","F"
1734,0,0,62,0.096000," ","int(1/(b*x+a)^(3/2)/(d*x+c)^(1/5),x)","\int \frac{1}{\left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{1}{5}}}\, dx"," ",0,"int(1/(b*x+a)^(3/2)/(d*x+c)^(1/5),x)","F"
1735,0,0,62,0.089000," ","int(1/(b*x+a)^(5/2)/(d*x+c)^(1/5),x)","\int \frac{1}{\left(b x +a \right)^{\frac{5}{2}} \left(d x +c \right)^{\frac{1}{5}}}\, dx"," ",0,"int(1/(b*x+a)^(5/2)/(d*x+c)^(1/5),x)","F"
1736,0,0,520,0.153000," ","int((b*x+a)^(5/2)*(d*x+c)^(1/6),x)","\int \left(b x +a \right)^{\frac{5}{2}} \left(d x +c \right)^{\frac{1}{6}}\, dx"," ",0,"int((b*x+a)^(5/2)*(d*x+c)^(1/6),x)","F"
1737,0,0,488,0.079000," ","int((b*x+a)^(3/2)*(d*x+c)^(1/6),x)","\int \left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{1}{6}}\, dx"," ",0,"int((b*x+a)^(3/2)*(d*x+c)^(1/6),x)","F"
1738,0,0,456,0.077000," ","int((b*x+a)^(1/2)*(d*x+c)^(1/6),x)","\int \sqrt{b x +a}\, \left(d x +c \right)^{\frac{1}{6}}\, dx"," ",0,"int((b*x+a)^(1/2)*(d*x+c)^(1/6),x)","F"
1739,0,0,426,0.085000," ","int((d*x+c)^(1/6)/(b*x+a)^(1/2),x)","\int \frac{\left(d x +c \right)^{\frac{1}{6}}}{\sqrt{b x +a}}\, dx"," ",0,"int((d*x+c)^(1/6)/(b*x+a)^(1/2),x)","F"
1740,0,0,423,0.097000," ","int((d*x+c)^(1/6)/(b*x+a)^(3/2),x)","\int \frac{\left(d x +c \right)^{\frac{1}{6}}}{\left(b x +a \right)^{\frac{3}{2}}}\, dx"," ",0,"int((d*x+c)^(1/6)/(b*x+a)^(3/2),x)","F"
1741,0,0,454,0.089000," ","int((d*x+c)^(1/6)/(b*x+a)^(5/2),x)","\int \frac{\left(d x +c \right)^{\frac{1}{6}}}{\left(b x +a \right)^{\frac{5}{2}}}\, dx"," ",0,"int((d*x+c)^(1/6)/(b*x+a)^(5/2),x)","F"
1742,0,0,968,0.099000," ","int((b*x+a)^(3/2)*(d*x+c)^(5/6),x)","\int \left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{5}{6}}\, dx"," ",0,"int((b*x+a)^(3/2)*(d*x+c)^(5/6),x)","F"
1743,0,0,936,0.058000," ","int((b*x+a)^(1/2)*(d*x+c)^(5/6),x)","\int \sqrt{b x +a}\, \left(d x +c \right)^{\frac{5}{6}}\, dx"," ",0,"int((b*x+a)^(1/2)*(d*x+c)^(5/6),x)","F"
1744,0,0,901,0.060000," ","int((d*x+c)^(5/6)/(b*x+a)^(1/2),x)","\int \frac{\left(d x +c \right)^{\frac{5}{6}}}{\sqrt{b x +a}}\, dx"," ",0,"int((d*x+c)^(5/6)/(b*x+a)^(1/2),x)","F"
1745,0,0,888,0.091000," ","int((d*x+c)^(5/6)/(b*x+a)^(3/2),x)","\int \frac{\left(d x +c \right)^{\frac{5}{6}}}{\left(b x +a \right)^{\frac{3}{2}}}\, dx"," ",0,"int((d*x+c)^(5/6)/(b*x+a)^(3/2),x)","F"
1746,0,0,932,0.093000," ","int((d*x+c)^(5/6)/(b*x+a)^(5/2),x)","\int \frac{\left(d x +c \right)^{\frac{5}{6}}}{\left(b x +a \right)^{\frac{5}{2}}}\, dx"," ",0,"int((d*x+c)^(5/6)/(b*x+a)^(5/2),x)","F"
1747,0,0,968,0.092000," ","int((d*x+c)^(5/6)/(b*x+a)^(7/2),x)","\int \frac{\left(d x +c \right)^{\frac{5}{6}}}{\left(b x +a \right)^{\frac{7}{2}}}\, dx"," ",0,"int((d*x+c)^(5/6)/(b*x+a)^(7/2),x)","F"
1748,0,0,962,0.063000," ","int((b*x+a)^(5/2)/(d*x+c)^(1/6),x)","\int \frac{\left(b x +a \right)^{\frac{5}{2}}}{\left(d x +c \right)^{\frac{1}{6}}}\, dx"," ",0,"int((b*x+a)^(5/2)/(d*x+c)^(1/6),x)","F"
1749,0,0,933,0.059000," ","int((b*x+a)^(3/2)/(d*x+c)^(1/6),x)","\int \frac{\left(b x +a \right)^{\frac{3}{2}}}{\left(d x +c \right)^{\frac{1}{6}}}\, dx"," ",0,"int((b*x+a)^(3/2)/(d*x+c)^(1/6),x)","F"
1750,0,0,904,0.059000," ","int((b*x+a)^(1/2)/(d*x+c)^(1/6),x)","\int \frac{\sqrt{b x +a}}{\left(d x +c \right)^{\frac{1}{6}}}\, dx"," ",0,"int((b*x+a)^(1/2)/(d*x+c)^(1/6),x)","F"
1751,0,0,874,0.090000," ","int(1/(b*x+a)^(1/2)/(d*x+c)^(1/6),x)","\int \frac{1}{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{1}{6}}}\, dx"," ",0,"int(1/(b*x+a)^(1/2)/(d*x+c)^(1/6),x)","F"
1752,0,0,905,0.086000," ","int(1/(b*x+a)^(3/2)/(d*x+c)^(1/6),x)","\int \frac{1}{\left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{1}{6}}}\, dx"," ",0,"int(1/(b*x+a)^(3/2)/(d*x+c)^(1/6),x)","F"
1753,0,0,936,0.095000," ","int(1/(b*x+a)^(5/2)/(d*x+c)^(1/6),x)","\int \frac{1}{\left(b x +a \right)^{\frac{5}{2}} \left(d x +c \right)^{\frac{1}{6}}}\, dx"," ",0,"int(1/(b*x+a)^(5/2)/(d*x+c)^(1/6),x)","F"
1754,0,0,479,0.087000," ","int((b*x+a)^(5/2)/(d*x+c)^(5/6),x)","\int \frac{\left(b x +a \right)^{\frac{5}{2}}}{\left(d x +c \right)^{\frac{5}{6}}}\, dx"," ",0,"int((b*x+a)^(5/2)/(d*x+c)^(5/6),x)","F"
1755,0,0,450,0.081000," ","int((b*x+a)^(3/2)/(d*x+c)^(5/6),x)","\int \frac{\left(b x +a \right)^{\frac{3}{2}}}{\left(d x +c \right)^{\frac{5}{6}}}\, dx"," ",0,"int((b*x+a)^(3/2)/(d*x+c)^(5/6),x)","F"
1756,0,0,423,0.078000," ","int((b*x+a)^(1/2)/(d*x+c)^(5/6),x)","\int \frac{\sqrt{b x +a}}{\left(d x +c \right)^{\frac{5}{6}}}\, dx"," ",0,"int((b*x+a)^(1/2)/(d*x+c)^(5/6),x)","F"
1757,0,0,402,0.098000," ","int(1/(b*x+a)^(1/2)/(d*x+c)^(5/6),x)","\int \frac{1}{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{5}{6}}}\, dx"," ",0,"int(1/(b*x+a)^(1/2)/(d*x+c)^(5/6),x)","F"
1758,0,0,427,0.097000," ","int(1/(b*x+a)^(3/2)/(d*x+c)^(5/6),x)","\int \frac{1}{\left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{5}{6}}}\, dx"," ",0,"int(1/(b*x+a)^(3/2)/(d*x+c)^(5/6),x)","F"
1759,0,0,455,0.092000," ","int(1/(b*x+a)^(5/2)/(d*x+c)^(5/6),x)","\int \frac{1}{\left(b x +a \right)^{\frac{5}{2}} \left(d x +c \right)^{\frac{5}{6}}}\, dx"," ",0,"int(1/(b*x+a)^(5/2)/(d*x+c)^(5/6),x)","F"
1760,0,0,954,0.133000," ","int((b*x+a)^(5/2)/(d*x+c)^(7/6),x)","\int \frac{\left(b x +a \right)^{\frac{5}{2}}}{\left(d x +c \right)^{\frac{7}{6}}}\, dx"," ",0,"int((b*x+a)^(5/2)/(d*x+c)^(7/6),x)","F"
1761,0,0,924,0.129000," ","int((b*x+a)^(3/2)/(d*x+c)^(7/6),x)","\int \frac{\left(b x +a \right)^{\frac{3}{2}}}{\left(d x +c \right)^{\frac{7}{6}}}\, dx"," ",0,"int((b*x+a)^(3/2)/(d*x+c)^(7/6),x)","F"
1762,0,0,896,0.091000," ","int((b*x+a)^(1/2)/(d*x+c)^(7/6),x)","\int \frac{\sqrt{b x +a}}{\left(d x +c \right)^{\frac{7}{6}}}\, dx"," ",0,"int((b*x+a)^(1/2)/(d*x+c)^(7/6),x)","F"
1763,0,0,909,0.090000," ","int(1/(b*x+a)^(1/2)/(d*x+c)^(7/6),x)","\int \frac{1}{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{7}{6}}}\, dx"," ",0,"int(1/(b*x+a)^(1/2)/(d*x+c)^(7/6),x)","F"
1764,0,0,932,0.099000," ","int(1/(b*x+a)^(3/2)/(d*x+c)^(7/6),x)","\int \frac{1}{\left(b x +a \right)^{\frac{3}{2}} \left(d x +c \right)^{\frac{7}{6}}}\, dx"," ",0,"int(1/(b*x+a)^(3/2)/(d*x+c)^(7/6),x)","F"
1765,0,0,965,0.093000," ","int(1/(b*x+a)^(5/2)/(d*x+c)^(7/6),x)","\int \frac{1}{\left(b x +a \right)^{\frac{5}{2}} \left(d x +c \right)^{\frac{7}{6}}}\, dx"," ",0,"int(1/(b*x+a)^(5/2)/(d*x+c)^(7/6),x)","F"
1766,0,0,72,0.190000," ","int((b*x+a)^(1/6)*(d*x+c)^(13/6),x)","\int \left(b x +a \right)^{\frac{1}{6}} \left(d x +c \right)^{\frac{13}{6}}\, dx"," ",0,"int((b*x+a)^(1/6)*(d*x+c)^(13/6),x)","F"
1767,0,0,70,0.095000," ","int((b*x+a)^(1/6)*(d*x+c)^(7/6),x)","\int \left(b x +a \right)^{\frac{1}{6}} \left(d x +c \right)^{\frac{7}{6}}\, dx"," ",0,"int((b*x+a)^(1/6)*(d*x+c)^(7/6),x)","F"
1768,0,0,62,0.098000," ","int((b*x+a)^(1/6)*(d*x+c)^(1/6),x)","\int \left(b x +a \right)^{\frac{1}{6}} \left(d x +c \right)^{\frac{1}{6}}\, dx"," ",0,"int((b*x+a)^(1/6)*(d*x+c)^(1/6),x)","F"
1769,0,0,62,0.095000," ","int((b*x+a)^(1/6)/(d*x+c)^(5/6),x)","\int \frac{\left(b x +a \right)^{\frac{1}{6}}}{\left(d x +c \right)^{\frac{5}{6}}}\, dx"," ",0,"int((b*x+a)^(1/6)/(d*x+c)^(5/6),x)","F"
1770,0,0,69,0.098000," ","int((b*x+a)^(1/6)/(d*x+c)^(11/6),x)","\int \frac{\left(b x +a \right)^{\frac{1}{6}}}{\left(d x +c \right)^{\frac{11}{6}}}\, dx"," ",0,"int((b*x+a)^(1/6)/(d*x+c)^(11/6),x)","F"
1771,0,0,70,0.092000," ","int((b*x+a)^(1/6)/(d*x+c)^(17/6),x)","\int \frac{\left(b x +a \right)^{\frac{1}{6}}}{\left(d x +c \right)^{\frac{17}{6}}}\, dx"," ",0,"int((b*x+a)^(1/6)/(d*x+c)^(17/6),x)","F"
1772,0,0,321,0.105000," ","int((b*x+a)^(1/6)*(d*x+c)^(5/6),x)","\int \left(b x +a \right)^{\frac{1}{6}} \left(d x +c \right)^{\frac{5}{6}}\, dx"," ",0,"int((b*x+a)^(1/6)*(d*x+c)^(5/6),x)","F"
1773,0,0,280,0.052000," ","int((b*x+a)^(1/6)/(d*x+c)^(1/6),x)","\int \frac{\left(b x +a \right)^{\frac{1}{6}}}{\left(d x +c \right)^{\frac{1}{6}}}\, dx"," ",0,"int((b*x+a)^(1/6)/(d*x+c)^(1/6),x)","F"
1774,0,0,239,0.097000," ","int((b*x+a)^(1/6)/(d*x+c)^(7/6),x)","\int \frac{\left(b x +a \right)^{\frac{1}{6}}}{\left(d x +c \right)^{\frac{7}{6}}}\, dx"," ",0,"int((b*x+a)^(1/6)/(d*x+c)^(7/6),x)","F"
1775,1,27,26,0.006000," ","int((b*x+a)^(1/6)/(d*x+c)^(13/6),x)","-\frac{6 \left(b x +a \right)^{\frac{7}{6}}}{7 \left(d x +c \right)^{\frac{7}{6}} \left(a d -b c \right)}"," ",0,"-6/7*(b*x+a)^(7/6)/(d*x+c)^(7/6)/(a*d-b*c)","A"
1776,1,54,54,0.006000," ","int((b*x+a)^(1/6)/(d*x+c)^(19/6),x)","-\frac{6 \left(b x +a \right)^{\frac{7}{6}} \left(-6 b d x +7 a d -13 b c \right)}{91 \left(d x +c \right)^{\frac{13}{6}} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}"," ",0,"-6/91*(b*x+a)^(7/6)*(-6*b*d*x+7*a*d-13*b*c)/(d*x+c)^(13/6)/(a^2*d^2-2*a*b*c*d+b^2*c^2)","A"
1777,1,105,83,0.009000," ","int((b*x+a)^(1/6)/(d*x+c)^(25/6),x)","-\frac{6 \left(b x +a \right)^{\frac{7}{6}} \left(72 b^{2} x^{2} d^{2}-84 a b \,d^{2} x +228 b^{2} c d x +91 a^{2} d^{2}-266 a b c d +247 b^{2} c^{2}\right)}{1729 \left(d x +c \right)^{\frac{19}{6}} \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,"-6/1729*(b*x+a)^(7/6)*(72*b^2*d^2*x^2-84*a*b*d^2*x+228*b^2*c*d*x+91*a^2*d^2-266*a*b*c*d+247*b^2*c^2)/(d*x+c)^(19/6)/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)","A"
1778,1,171,112,0.011000," ","int((b*x+a)^(1/6)/(d*x+c)^(31/6),x)","-\frac{6 \left(b x +a \right)^{\frac{7}{6}} \left(-1296 b^{3} d^{3} x^{3}+1512 a \,b^{2} d^{3} x^{2}-5400 b^{3} c \,d^{2} x^{2}-1638 a^{2} b \,d^{3} x +6300 a \,b^{2} c \,d^{2} x -8550 b^{3} c^{2} d x +1729 a^{3} d^{3}-6825 a^{2} b c \,d^{2}+9975 a \,b^{2} c^{2} d -6175 b^{3} c^{3}\right)}{43225 \left(d x +c \right)^{\frac{25}{6}} \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,"-6/43225*(b*x+a)^(7/6)*(-1296*b^3*d^3*x^3+1512*a*b^2*d^3*x^2-5400*b^3*c*d^2*x^2-1638*a^2*b*d^3*x+6300*a*b^2*c*d^2*x-8550*b^3*c^2*d*x+1729*a^3*d^3-6825*a^2*b*c*d^2+9975*a*b^2*c^2*d-6175*b^3*c^3)/(d*x+c)^(25/6)/(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"
1779,0,0,321,0.098000," ","int((b*x+a)^(5/6)*(d*x+c)^(1/6),x)","\int \left(b x +a \right)^{\frac{5}{6}} \left(d x +c \right)^{\frac{1}{6}}\, dx"," ",0,"int((b*x+a)^(5/6)*(d*x+c)^(1/6),x)","F"
1780,0,0,280,0.050000," ","int((b*x+a)^(5/6)/(d*x+c)^(5/6),x)","\int \frac{\left(b x +a \right)^{\frac{5}{6}}}{\left(d x +c \right)^{\frac{5}{6}}}\, dx"," ",0,"int((b*x+a)^(5/6)/(d*x+c)^(5/6),x)","F"
1781,0,0,241,0.092000," ","int((b*x+a)^(5/6)/(d*x+c)^(11/6),x)","\int \frac{\left(b x +a \right)^{\frac{5}{6}}}{\left(d x +c \right)^{\frac{11}{6}}}\, dx"," ",0,"int((b*x+a)^(5/6)/(d*x+c)^(11/6),x)","F"
1782,1,27,26,0.004000," ","int((b*x+a)^(5/6)/(d*x+c)^(17/6),x)","-\frac{6 \left(b x +a \right)^{\frac{11}{6}}}{11 \left(d x +c \right)^{\frac{11}{6}} \left(a d -b c \right)}"," ",0,"-6/11*(b*x+a)^(11/6)/(d*x+c)^(11/6)/(a*d-b*c)","A"
1783,1,54,54,0.005000," ","int((b*x+a)^(5/6)/(d*x+c)^(23/6),x)","-\frac{6 \left(b x +a \right)^{\frac{11}{6}} \left(-6 b d x +11 a d -17 b c \right)}{187 \left(d x +c \right)^{\frac{17}{6}} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}"," ",0,"-6/187*(b*x+a)^(11/6)*(-6*b*d*x+11*a*d-17*b*c)/(d*x+c)^(17/6)/(a^2*d^2-2*a*b*c*d+b^2*c^2)","A"
1784,1,105,83,0.008000," ","int((b*x+a)^(5/6)/(d*x+c)^(29/6),x)","-\frac{6 \left(b x +a \right)^{\frac{11}{6}} \left(72 b^{2} x^{2} d^{2}-132 a b \,d^{2} x +276 b^{2} c d x +187 a^{2} d^{2}-506 a b c d +391 b^{2} c^{2}\right)}{4301 \left(d x +c \right)^{\frac{23}{6}} \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,"-6/4301*(b*x+a)^(11/6)*(72*b^2*d^2*x^2-132*a*b*d^2*x+276*b^2*c*d*x+187*a^2*d^2-506*a*b*c*d+391*b^2*c^2)/(d*x+c)^(23/6)/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)","A"
1785,1,171,112,0.010000," ","int((b*x+a)^(5/6)/(d*x+c)^(35/6),x)","-\frac{6 \left(b x +a \right)^{\frac{11}{6}} \left(-1296 b^{3} d^{3} x^{3}+2376 a \,b^{2} d^{3} x^{2}-6264 b^{3} c \,d^{2} x^{2}-3366 a^{2} b \,d^{3} x +11484 a \,b^{2} c \,d^{2} x -12006 b^{3} c^{2} d x +4301 a^{3} d^{3}-16269 a^{2} b c \,d^{2}+22011 a \,b^{2} c^{2} d -11339 b^{3} c^{3}\right)}{124729 \left(d x +c \right)^{\frac{29}{6}} \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,"-6/124729*(b*x+a)^(11/6)*(-1296*b^3*d^3*x^3+2376*a*b^2*d^3*x^2-6264*b^3*c*d^2*x^2-3366*a^2*b*d^3*x+11484*a*b^2*c*d^2*x-12006*b^3*c^2*d*x+4301*a^3*d^3-16269*a^2*b*c*d^2+22011*a*b^2*c^2*d-11339*b^3*c^3)/(d*x+c)^(29/6)/(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"
1786,0,0,70,0.095000," ","int((b*x+a)^(5/6)*(d*x+c)^(11/6),x)","\int \left(b x +a \right)^{\frac{5}{6}} \left(d x +c \right)^{\frac{11}{6}}\, dx"," ",0,"int((b*x+a)^(5/6)*(d*x+c)^(11/6),x)","F"
1787,0,0,62,0.095000," ","int((b*x+a)^(5/6)*(d*x+c)^(5/6),x)","\int \left(b x +a \right)^{\frac{5}{6}} \left(d x +c \right)^{\frac{5}{6}}\, dx"," ",0,"int((b*x+a)^(5/6)*(d*x+c)^(5/6),x)","F"
1788,0,0,62,0.095000," ","int((b*x+a)^(5/6)/(d*x+c)^(1/6),x)","\int \frac{\left(b x +a \right)^{\frac{5}{6}}}{\left(d x +c \right)^{\frac{1}{6}}}\, dx"," ",0,"int((b*x+a)^(5/6)/(d*x+c)^(1/6),x)","F"
1789,0,0,69,0.092000," ","int((b*x+a)^(5/6)/(d*x+c)^(7/6),x)","\int \frac{\left(b x +a \right)^{\frac{5}{6}}}{\left(d x +c \right)^{\frac{7}{6}}}\, dx"," ",0,"int((b*x+a)^(5/6)/(d*x+c)^(7/6),x)","F"
1790,0,0,70,0.102000," ","int((b*x+a)^(5/6)/(d*x+c)^(13/6),x)","\int \frac{\left(b x +a \right)^{\frac{5}{6}}}{\left(d x +c \right)^{\frac{13}{6}}}\, dx"," ",0,"int((b*x+a)^(5/6)/(d*x+c)^(13/6),x)","F"
1791,0,0,72,0.091000," ","int((b*x+a)^(5/6)/(d*x+c)^(19/6),x)","\int \frac{\left(b x +a \right)^{\frac{5}{6}}}{\left(d x +c \right)^{\frac{19}{6}}}\, dx"," ",0,"int((b*x+a)^(5/6)/(d*x+c)^(19/6),x)","F"
1792,0,0,72,0.102000," ","int((b*x+a)^(7/6)*(d*x+c)^(13/6),x)","\int \left(b x +a \right)^{\frac{7}{6}} \left(d x +c \right)^{\frac{13}{6}}\, dx"," ",0,"int((b*x+a)^(7/6)*(d*x+c)^(13/6),x)","F"
1793,0,0,70,0.094000," ","int((b*x+a)^(7/6)*(d*x+c)^(7/6),x)","\int \left(b x +a \right)^{\frac{7}{6}} \left(d x +c \right)^{\frac{7}{6}}\, dx"," ",0,"int((b*x+a)^(7/6)*(d*x+c)^(7/6),x)","F"
1794,0,0,62,0.095000," ","int((b*x+a)^(7/6)*(d*x+c)^(1/6),x)","\int \left(b x +a \right)^{\frac{7}{6}} \left(d x +c \right)^{\frac{1}{6}}\, dx"," ",0,"int((b*x+a)^(7/6)*(d*x+c)^(1/6),x)","F"
1795,0,0,62,0.097000," ","int((b*x+a)^(7/6)/(d*x+c)^(5/6),x)","\int \frac{\left(b x +a \right)^{\frac{7}{6}}}{\left(d x +c \right)^{\frac{5}{6}}}\, dx"," ",0,"int((b*x+a)^(7/6)/(d*x+c)^(5/6),x)","F"
1796,0,0,69,0.165000," ","int((b*x+a)^(7/6)/(d*x+c)^(11/6),x)","\int \frac{\left(b x +a \right)^{\frac{7}{6}}}{\left(d x +c \right)^{\frac{11}{6}}}\, dx"," ",0,"int((b*x+a)^(7/6)/(d*x+c)^(11/6),x)","F"
1797,0,0,70,0.096000," ","int((b*x+a)^(7/6)/(d*x+c)^(17/6),x)","\int \frac{\left(b x +a \right)^{\frac{7}{6}}}{\left(d x +c \right)^{\frac{17}{6}}}\, dx"," ",0,"int((b*x+a)^(7/6)/(d*x+c)^(17/6),x)","F"
1798,0,0,318,0.058000," ","int((b*x+a)^(7/6)/(d*x+c)^(1/6),x)","\int \frac{\left(b x +a \right)^{\frac{7}{6}}}{\left(d x +c \right)^{\frac{1}{6}}}\, dx"," ",0,"int((b*x+a)^(7/6)/(d*x+c)^(1/6),x)","F"
1799,0,0,301,0.136000," ","int((b*x+a)^(7/6)/(d*x+c)^(7/6),x)","\int \frac{\left(b x +a \right)^{\frac{7}{6}}}{\left(d x +c \right)^{\frac{7}{6}}}\, dx"," ",0,"int((b*x+a)^(7/6)/(d*x+c)^(7/6),x)","F"
1800,0,0,259,0.096000," ","int((b*x+a)^(7/6)/(d*x+c)^(13/6),x)","\int \frac{\left(b x +a \right)^{\frac{7}{6}}}{\left(d x +c \right)^{\frac{13}{6}}}\, dx"," ",0,"int((b*x+a)^(7/6)/(d*x+c)^(13/6),x)","F"
1801,1,27,26,0.006000," ","int((b*x+a)^(7/6)/(d*x+c)^(19/6),x)","-\frac{6 \left(b x +a \right)^{\frac{13}{6}}}{13 \left(d x +c \right)^{\frac{13}{6}} \left(a d -b c \right)}"," ",0,"-6/13*(b*x+a)^(13/6)/(d*x+c)^(13/6)/(a*d-b*c)","A"
1802,1,54,54,0.004000," ","int((b*x+a)^(7/6)/(d*x+c)^(25/6),x)","-\frac{6 \left(b x +a \right)^{\frac{13}{6}} \left(-6 b d x +13 a d -19 b c \right)}{247 \left(d x +c \right)^{\frac{19}{6}} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}"," ",0,"-6/247*(b*x+a)^(13/6)*(-6*b*d*x+13*a*d-19*b*c)/(d*x+c)^(19/6)/(a^2*d^2-2*a*b*c*d+b^2*c^2)","A"
1803,1,105,83,0.008000," ","int((b*x+a)^(7/6)/(d*x+c)^(31/6),x)","-\frac{6 \left(b x +a \right)^{\frac{13}{6}} \left(72 b^{2} x^{2} d^{2}-156 a b \,d^{2} x +300 b^{2} c d x +247 a^{2} d^{2}-650 a b c d +475 b^{2} c^{2}\right)}{6175 \left(d x +c \right)^{\frac{25}{6}} \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,"-6/6175*(b*x+a)^(13/6)*(72*b^2*d^2*x^2-156*a*b*d^2*x+300*b^2*c*d*x+247*a^2*d^2-650*a*b*c*d+475*b^2*c^2)/(d*x+c)^(25/6)/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)","A"
1804,1,171,112,0.010000," ","int((b*x+a)^(7/6)/(d*x+c)^(37/6),x)","-\frac{6 \left(b x +a \right)^{\frac{13}{6}} \left(-1296 b^{3} d^{3} x^{3}+2808 a \,b^{2} d^{3} x^{2}-6696 b^{3} c \,d^{2} x^{2}-4446 a^{2} b \,d^{3} x +14508 a \,b^{2} c \,d^{2} x -13950 b^{3} c^{2} d x +6175 a^{3} d^{3}-22971 a^{2} b c \,d^{2}+30225 a \,b^{2} c^{2} d -14725 b^{3} c^{3}\right)}{191425 \left(d x +c \right)^{\frac{31}{6}} \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,"-6/191425*(b*x+a)^(13/6)*(-1296*b^3*d^3*x^3+2808*a*b^2*d^3*x^2-6696*b^3*c*d^2*x^2-4446*a^2*b*d^3*x+14508*a*b^2*c*d^2*x-13950*b^3*c^2*d*x+6175*a^3*d^3-22971*a^2*b*c*d^2+30225*a*b^2*c^2*d-14725*b^3*c^3)/(d*x+c)^(31/6)/(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"
1805,0,0,318,0.056000," ","int((d*x+c)^(7/6)/(b*x+a)^(1/6),x)","\int \frac{\left(d x +c \right)^{\frac{7}{6}}}{\left(b x +a \right)^{\frac{1}{6}}}\, dx"," ",0,"int((d*x+c)^(7/6)/(b*x+a)^(1/6),x)","F"
1806,0,0,280,0.051000," ","int((d*x+c)^(1/6)/(b*x+a)^(1/6),x)","\int \frac{\left(d x +c \right)^{\frac{1}{6}}}{\left(b x +a \right)^{\frac{1}{6}}}\, dx"," ",0,"int((d*x+c)^(1/6)/(b*x+a)^(1/6),x)","F"
1807,0,0,222,0.098000," ","int(1/(b*x+a)^(1/6)/(d*x+c)^(5/6),x)","\int \frac{1}{\left(b x +a \right)^{\frac{1}{6}} \left(d x +c \right)^{\frac{5}{6}}}\, dx"," ",0,"int(1/(b*x+a)^(1/6)/(d*x+c)^(5/6),x)","F"
1808,1,27,26,0.004000," ","int(1/(b*x+a)^(1/6)/(d*x+c)^(11/6),x)","-\frac{6 \left(b x +a \right)^{\frac{5}{6}}}{5 \left(d x +c \right)^{\frac{5}{6}} \left(a d -b c \right)}"," ",0,"-6/5*(b*x+a)^(5/6)/(d*x+c)^(5/6)/(a*d-b*c)","A"
1809,1,54,54,0.005000," ","int(1/(b*x+a)^(1/6)/(d*x+c)^(17/6),x)","-\frac{6 \left(b x +a \right)^{\frac{5}{6}} \left(-6 b d x +5 a d -11 b c \right)}{55 \left(d x +c \right)^{\frac{11}{6}} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}"," ",0,"-6/55*(b*x+a)^(5/6)*(-6*b*d*x+5*a*d-11*b*c)/(d*x+c)^(11/6)/(a^2*d^2-2*a*b*c*d+b^2*c^2)","A"
1810,1,105,83,0.008000," ","int(1/(b*x+a)^(1/6)/(d*x+c)^(23/6),x)","-\frac{6 \left(b x +a \right)^{\frac{5}{6}} \left(72 b^{2} x^{2} d^{2}-60 a b \,d^{2} x +204 b^{2} c d x +55 a^{2} d^{2}-170 a b c d +187 b^{2} c^{2}\right)}{935 \left(d x +c \right)^{\frac{17}{6}} \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,"-6/935*(b*x+a)^(5/6)*(72*b^2*d^2*x^2-60*a*b*d^2*x+204*b^2*c*d*x+55*a^2*d^2-170*a*b*c*d+187*b^2*c^2)/(d*x+c)^(17/6)/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)","A"
1811,1,171,112,0.010000," ","int(1/(b*x+a)^(1/6)/(d*x+c)^(29/6),x)","-\frac{6 \left(b x +a \right)^{\frac{5}{6}} \left(-1296 b^{3} d^{3} x^{3}+1080 a \,b^{2} d^{3} x^{2}-4968 b^{3} c \,d^{2} x^{2}-990 a^{2} b \,d^{3} x +4140 a \,b^{2} c \,d^{2} x -7038 b^{3} c^{2} d x +935 a^{3} d^{3}-3795 a^{2} b c \,d^{2}+5865 a \,b^{2} c^{2} d -4301 b^{3} c^{3}\right)}{21505 \left(d x +c \right)^{\frac{23}{6}} \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,"-6/21505*(b*x+a)^(5/6)*(-1296*b^3*d^3*x^3+1080*a*b^2*d^3*x^2-4968*b^3*c*d^2*x^2-990*a^2*b*d^3*x+4140*a*b^2*c*d^2*x-7038*b^3*c^2*d*x+935*a^3*d^3-3795*a^2*b*c*d^2+5865*a*b^2*c^2*d-4301*b^3*c^3)/(d*x+c)^(23/6)/(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"
1812,0,0,70,0.091000," ","int((d*x+c)^(11/6)/(b*x+a)^(1/6),x)","\int \frac{\left(d x +c \right)^{\frac{11}{6}}}{\left(b x +a \right)^{\frac{1}{6}}}\, dx"," ",0,"int((d*x+c)^(11/6)/(b*x+a)^(1/6),x)","F"
1813,0,0,62,0.095000," ","int((d*x+c)^(5/6)/(b*x+a)^(1/6),x)","\int \frac{\left(d x +c \right)^{\frac{5}{6}}}{\left(b x +a \right)^{\frac{1}{6}}}\, dx"," ",0,"int((d*x+c)^(5/6)/(b*x+a)^(1/6),x)","F"
1814,0,0,62,0.101000," ","int(1/(b*x+a)^(1/6)/(d*x+c)^(1/6),x)","\int \frac{1}{\left(b x +a \right)^{\frac{1}{6}} \left(d x +c \right)^{\frac{1}{6}}}\, dx"," ",0,"int(1/(b*x+a)^(1/6)/(d*x+c)^(1/6),x)","F"
1815,0,0,69,0.096000," ","int(1/(b*x+a)^(1/6)/(d*x+c)^(7/6),x)","\int \frac{1}{\left(b x +a \right)^{\frac{1}{6}} \left(d x +c \right)^{\frac{7}{6}}}\, dx"," ",0,"int(1/(b*x+a)^(1/6)/(d*x+c)^(7/6),x)","F"
1816,0,0,70,0.092000," ","int(1/(b*x+a)^(1/6)/(d*x+c)^(13/6),x)","\int \frac{1}{\left(b x +a \right)^{\frac{1}{6}} \left(d x +c \right)^{\frac{13}{6}}}\, dx"," ",0,"int(1/(b*x+a)^(1/6)/(d*x+c)^(13/6),x)","F"
1817,0,0,72,0.099000," ","int(1/(b*x+a)^(1/6)/(d*x+c)^(19/6),x)","\int \frac{1}{\left(b x +a \right)^{\frac{1}{6}} \left(d x +c \right)^{\frac{19}{6}}}\, dx"," ",0,"int(1/(b*x+a)^(1/6)/(d*x+c)^(19/6),x)","F"
1818,0,0,72,0.100000," ","int((d*x+c)^(13/6)/(b*x+a)^(5/6),x)","\int \frac{\left(d x +c \right)^{\frac{13}{6}}}{\left(b x +a \right)^{\frac{5}{6}}}\, dx"," ",0,"int((d*x+c)^(13/6)/(b*x+a)^(5/6),x)","F"
1819,0,0,70,0.092000," ","int((d*x+c)^(7/6)/(b*x+a)^(5/6),x)","\int \frac{\left(d x +c \right)^{\frac{7}{6}}}{\left(b x +a \right)^{\frac{5}{6}}}\, dx"," ",0,"int((d*x+c)^(7/6)/(b*x+a)^(5/6),x)","F"
1820,0,0,62,0.088000," ","int((d*x+c)^(1/6)/(b*x+a)^(5/6),x)","\int \frac{\left(d x +c \right)^{\frac{1}{6}}}{\left(b x +a \right)^{\frac{5}{6}}}\, dx"," ",0,"int((d*x+c)^(1/6)/(b*x+a)^(5/6),x)","F"
1821,0,0,62,0.094000," ","int(1/(b*x+a)^(5/6)/(d*x+c)^(5/6),x)","\int \frac{1}{\left(b x +a \right)^{\frac{5}{6}} \left(d x +c \right)^{\frac{5}{6}}}\, dx"," ",0,"int(1/(b*x+a)^(5/6)/(d*x+c)^(5/6),x)","F"
1822,0,0,69,0.092000," ","int(1/(b*x+a)^(5/6)/(d*x+c)^(11/6),x)","\int \frac{1}{\left(b x +a \right)^{\frac{5}{6}} \left(d x +c \right)^{\frac{11}{6}}}\, dx"," ",0,"int(1/(b*x+a)^(5/6)/(d*x+c)^(11/6),x)","F"
1823,0,0,70,0.102000," ","int(1/(b*x+a)^(5/6)/(d*x+c)^(17/6),x)","\int \frac{1}{\left(b x +a \right)^{\frac{5}{6}} \left(d x +c \right)^{\frac{17}{6}}}\, dx"," ",0,"int(1/(b*x+a)^(5/6)/(d*x+c)^(17/6),x)","F"
1824,0,0,318,0.059000," ","int((d*x+c)^(11/6)/(b*x+a)^(5/6),x)","\int \frac{\left(d x +c \right)^{\frac{11}{6}}}{\left(b x +a \right)^{\frac{5}{6}}}\, dx"," ",0,"int((d*x+c)^(11/6)/(b*x+a)^(5/6),x)","F"
1825,0,0,280,0.055000," ","int((d*x+c)^(5/6)/(b*x+a)^(5/6),x)","\int \frac{\left(d x +c \right)^{\frac{5}{6}}}{\left(b x +a \right)^{\frac{5}{6}}}\, dx"," ",0,"int((d*x+c)^(5/6)/(b*x+a)^(5/6),x)","F"
1826,0,0,220,0.099000," ","int(1/(b*x+a)^(5/6)/(d*x+c)^(1/6),x)","\int \frac{1}{\left(b x +a \right)^{\frac{5}{6}} \left(d x +c \right)^{\frac{1}{6}}}\, dx"," ",0,"int(1/(b*x+a)^(5/6)/(d*x+c)^(1/6),x)","F"
1827,1,27,26,0.004000," ","int(1/(b*x+a)^(5/6)/(d*x+c)^(7/6),x)","-\frac{6 \left(b x +a \right)^{\frac{1}{6}}}{\left(d x +c \right)^{\frac{1}{6}} \left(a d -b c \right)}"," ",0,"-6*(b*x+a)^(1/6)/(d*x+c)^(1/6)/(a*d-b*c)","A"
1828,1,53,54,0.006000," ","int(1/(b*x+a)^(5/6)/(d*x+c)^(13/6),x)","-\frac{6 \left(b x +a \right)^{\frac{1}{6}} \left(-6 b d x +a d -7 b c \right)}{7 \left(d x +c \right)^{\frac{7}{6}} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}"," ",0,"-6/7*(b*x+a)^(1/6)*(-6*b*d*x+a*d-7*b*c)/(d*x+c)^(7/6)/(a^2*d^2-2*a*b*c*d+b^2*c^2)","A"
1829,1,105,83,0.008000," ","int(1/(b*x+a)^(5/6)/(d*x+c)^(19/6),x)","-\frac{6 \left(b x +a \right)^{\frac{1}{6}} \left(72 b^{2} x^{2} d^{2}-12 a b \,d^{2} x +156 b^{2} c d x +7 a^{2} d^{2}-26 a b c d +91 b^{2} c^{2}\right)}{91 \left(d x +c \right)^{\frac{13}{6}} \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,"-6/91*(b*x+a)^(1/6)*(72*b^2*d^2*x^2-12*a*b*d^2*x+156*b^2*c*d*x+7*a^2*d^2-26*a*b*c*d+91*b^2*c^2)/(d*x+c)^(13/6)/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)","A"
1830,1,171,112,0.010000," ","int(1/(b*x+a)^(5/6)/(d*x+c)^(25/6),x)","-\frac{6 \left(b x +a \right)^{\frac{1}{6}} \left(-1296 b^{3} d^{3} x^{3}+216 a \,b^{2} d^{3} x^{2}-4104 b^{3} c \,d^{2} x^{2}-126 a^{2} b \,d^{3} x +684 a \,b^{2} c \,d^{2} x -4446 b^{3} c^{2} d x +91 a^{3} d^{3}-399 a^{2} b c \,d^{2}+741 a \,b^{2} c^{2} d -1729 b^{3} c^{3}\right)}{1729 \left(d x +c \right)^{\frac{19}{6}} \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,"-6/1729*(b*x+a)^(1/6)*(-1296*b^3*d^3*x^3+216*a*b^2*d^3*x^2-4104*b^3*c*d^2*x^2-126*a^2*b*d^3*x+684*a*b^2*c*d^2*x-4446*b^3*c^2*d*x+91*a^3*d^3-399*a^2*b*c*d^2+741*a*b^2*c^2*d-1729*b^3*c^3)/(d*x+c)^(19/6)/(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"
1831,0,0,339,0.124000," ","int((d*x+c)^(13/6)/(b*x+a)^(7/6),x)","\int \frac{\left(d x +c \right)^{\frac{13}{6}}}{\left(b x +a \right)^{\frac{7}{6}}}\, dx"," ",0,"int((d*x+c)^(13/6)/(b*x+a)^(7/6),x)","F"
1832,0,0,301,0.126000," ","int((d*x+c)^(7/6)/(b*x+a)^(7/6),x)","\int \frac{\left(d x +c \right)^{\frac{7}{6}}}{\left(b x +a \right)^{\frac{7}{6}}}\, dx"," ",0,"int((d*x+c)^(7/6)/(b*x+a)^(7/6),x)","F"
1833,0,0,241,0.095000," ","int((d*x+c)^(1/6)/(b*x+a)^(7/6),x)","\int \frac{\left(d x +c \right)^{\frac{1}{6}}}{\left(b x +a \right)^{\frac{7}{6}}}\, dx"," ",0,"int((d*x+c)^(1/6)/(b*x+a)^(7/6),x)","F"
1834,1,27,26,0.006000," ","int(1/(b*x+a)^(7/6)/(d*x+c)^(5/6),x)","\frac{6 \left(d x +c \right)^{\frac{1}{6}}}{\left(b x +a \right)^{\frac{1}{6}} \left(a d -b c \right)}"," ",0,"6/(b*x+a)^(1/6)*(d*x+c)^(1/6)/(a*d-b*c)","A"
1835,1,53,54,0.007000," ","int(1/(b*x+a)^(7/6)/(d*x+c)^(11/6),x)","-\frac{6 \left(6 b d x +a d +5 b c \right)}{5 \left(b x +a \right)^{\frac{1}{6}} \left(d x +c \right)^{\frac{5}{6}} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right)}"," ",0,"-6/5*(6*b*d*x+a*d+5*b*c)/(b*x+a)^(1/6)/(d*x+c)^(5/6)/(a^2*d^2-2*a*b*c*d+b^2*c^2)","A"
1836,1,105,82,0.007000," ","int(1/(b*x+a)^(7/6)/(d*x+c)^(17/6),x)","-\frac{6 \left(-72 b^{2} x^{2} d^{2}-12 a b \,d^{2} x -132 b^{2} c d x +5 a^{2} d^{2}-22 a b c d -55 b^{2} c^{2}\right)}{55 \left(b x +a \right)^{\frac{1}{6}} \left(d x +c \right)^{\frac{11}{6}} \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,"-6/55*(-72*b^2*d^2*x^2-12*a*b*d^2*x-132*b^2*c*d*x+5*a^2*d^2-22*a*b*c*d-55*b^2*c^2)/(b*x+a)^(1/6)/(d*x+c)^(11/6)/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)","A"
1837,1,171,112,0.012000," ","int(1/(b*x+a)^(7/6)/(d*x+c)^(23/6),x)","-\frac{6 \left(1296 b^{3} d^{3} x^{3}+216 a \,b^{2} d^{3} x^{2}+3672 b^{3} c \,d^{2} x^{2}-90 a^{2} b \,d^{3} x +612 a \,b^{2} c \,d^{2} x +3366 b^{3} c^{2} d x +55 a^{3} d^{3}-255 a^{2} b c \,d^{2}+561 a \,b^{2} c^{2} d +935 b^{3} c^{3}\right)}{935 \left(b x +a \right)^{\frac{1}{6}} \left(d x +c \right)^{\frac{17}{6}} \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,"-6/935*(1296*b^3*d^3*x^3+216*a*b^2*d^3*x^2+3672*b^3*c*d^2*x^2-90*a^2*b*d^3*x+612*a*b^2*c*d^2*x+3366*b^3*c^2*d*x+55*a^3*d^3-255*a^2*b*c*d^2+561*a*b^2*c^2*d+935*b^3*c^3)/(b*x+a)^(1/6)/(d*x+c)^(17/6)/(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"
1838,0,0,70,0.094000," ","int((d*x+c)^(11/6)/(b*x+a)^(7/6),x)","\int \frac{\left(d x +c \right)^{\frac{11}{6}}}{\left(b x +a \right)^{\frac{7}{6}}}\, dx"," ",0,"int((d*x+c)^(11/6)/(b*x+a)^(7/6),x)","F"
1839,0,0,62,0.098000," ","int((d*x+c)^(5/6)/(b*x+a)^(7/6),x)","\int \frac{\left(d x +c \right)^{\frac{5}{6}}}{\left(b x +a \right)^{\frac{7}{6}}}\, dx"," ",0,"int((d*x+c)^(5/6)/(b*x+a)^(7/6),x)","F"
1840,0,0,62,0.096000," ","int(1/(b*x+a)^(7/6)/(d*x+c)^(1/6),x)","\int \frac{1}{\left(b x +a \right)^{\frac{7}{6}} \left(d x +c \right)^{\frac{1}{6}}}\, dx"," ",0,"int(1/(b*x+a)^(7/6)/(d*x+c)^(1/6),x)","F"
1841,0,0,69,0.100000," ","int(1/(b*x+a)^(7/6)/(d*x+c)^(7/6),x)","\int \frac{1}{\left(b x +a \right)^{\frac{7}{6}} \left(d x +c \right)^{\frac{7}{6}}}\, dx"," ",0,"int(1/(b*x+a)^(7/6)/(d*x+c)^(7/6),x)","F"
1842,0,0,70,0.102000," ","int(1/(b*x+a)^(7/6)/(d*x+c)^(13/6),x)","\int \frac{1}{\left(b x +a \right)^{\frac{7}{6}} \left(d x +c \right)^{\frac{13}{6}}}\, dx"," ",0,"int(1/(b*x+a)^(7/6)/(d*x+c)^(13/6),x)","F"
1843,0,0,72,0.102000," ","int(1/(b*x+a)^(7/6)/(d*x+c)^(19/6),x)","\int \frac{1}{\left(b x +a \right)^{\frac{7}{6}} \left(d x +c \right)^{\frac{19}{6}}}\, dx"," ",0,"int(1/(b*x+a)^(7/6)/(d*x+c)^(19/6),x)","F"
1844,1,12,11,0.003000," ","int((b*x+a)^m*(a+b*(m+2)*x),x)","x \left(b x +a \right)^{m +1}"," ",0,"x*(b*x+a)^(m+1)","A"
1845,0,0,63,0.101000," ","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"
1846,1,389,110,0.009000," ","int((b*x+a)^m*(d*x+c)^3,x)","-\frac{\left(-b^{3} d^{3} m^{3} x^{3}-3 b^{3} c \,d^{2} m^{3} x^{2}-6 b^{3} d^{3} m^{2} x^{3}+3 a \,b^{2} d^{3} m^{2} x^{2}-3 b^{3} c^{2} d \,m^{3} x -21 b^{3} c \,d^{2} m^{2} x^{2}-11 b^{3} d^{3} m \,x^{3}+6 a \,b^{2} c \,d^{2} m^{2} x +9 a \,b^{2} d^{3} m \,x^{2}-b^{3} c^{3} m^{3}-24 b^{3} c^{2} d \,m^{2} x -42 b^{3} c \,d^{2} m \,x^{2}-6 b^{3} d^{3} x^{3}-6 a^{2} b \,d^{3} m x +3 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}-57 b^{3} c^{2} d m x -24 b^{3} c \,d^{2} x^{2}-6 a^{2} b c \,d^{2} m -6 a^{2} b \,d^{3} x +21 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(m^{4}+10 m^{3}+35 m^{2}+50 m +24\right) b^{4}}"," ",0,"-(b*x+a)^(m+1)*(-b^3*d^3*m^3*x^3-3*b^3*c*d^2*m^3*x^2-6*b^3*d^3*m^2*x^3+3*a*b^2*d^3*m^2*x^2-3*b^3*c^2*d*m^3*x-21*b^3*c*d^2*m^2*x^2-11*b^3*d^3*m*x^3+6*a*b^2*c*d^2*m^2*x+9*a*b^2*d^3*m*x^2-b^3*c^3*m^3-24*b^3*c^2*d*m^2*x-42*b^3*c*d^2*m*x^2-6*b^3*d^3*x^3-6*a^2*b*d^3*m*x+3*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^2-57*b^3*c^2*d*m*x-24*b^3*c*d^2*x^2-6*a^2*b*c*d^2*m-6*a^2*b*d^3*x+21*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)/b^4/(m^4+10*m^3+35*m^2+50*m+24)","B"
1847,1,159,78,0.008000," ","int((b*x+a)^m*(d*x+c)^2,x)","\frac{\left(b^{2} d^{2} m^{2} x^{2}+2 b^{2} c d \,m^{2} x +3 b^{2} d^{2} m \,x^{2}-2 a b \,d^{2} m x +b^{2} c^{2} m^{2}+8 b^{2} c d m x +2 b^{2} x^{2} d^{2}-2 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(m^{3}+6 m^{2}+11 m +6\right) b^{3}}"," ",0,"(b*x+a)^(m+1)*(b^2*d^2*m^2*x^2+2*b^2*c*d*m^2*x+3*b^2*d^2*m*x^2-2*a*b*d^2*m*x+b^2*c^2*m^2+8*b^2*c*d*m*x+2*b^2*d^2*x^2-2*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)/b^3/(m^3+6*m^2+11*m+6)","B"
1848,1,49,46,0.003000," ","int((b*x+a)^m*(d*x+c),x)","-\frac{\left(-b d m x -b c m -b d x +a d -2 b c \right) \left(b x +a \right)^{m +1}}{\left(m^{2}+3 m +2\right) b^{2}}"," ",0,"-(b*x+a)^(m+1)*(-b*d*m*x-b*c*m-b*d*x+a*d-2*b*c)/b^2/(m^2+3*m+2)","A"
1849,0,0,53,0.094000," ","int((b*x+a)^m/(d*x+c),x)","\int \frac{\left(b x +a \right)^{m}}{d x +c}\, dx"," ",0,"int((b*x+a)^m/(d*x+c),x)","F"
1850,0,0,54,0.099000," ","int((b*x+a)^m/(d*x+c)^2,x)","\int \frac{\left(b x +a \right)^{m}}{\left(d x +c \right)^{2}}\, dx"," ",0,"int((b*x+a)^m/(d*x+c)^2,x)","F"
1851,0,0,56,0.093000," ","int((b*x+a)^m/(d*x+c)^3,x)","\int \frac{\left(b x +a \right)^{m}}{\left(d x +c \right)^{3}}\, dx"," ",0,"int((b*x+a)^m/(d*x+c)^3,x)","F"
1852,1,386,111,0.009000," ","int((b*x+a)^3*(d*x+c)^n,x)","\frac{\left(b^{3} d^{3} n^{3} x^{3}+3 a \,b^{2} d^{3} n^{3} x^{2}+6 b^{3} d^{3} n^{2} x^{3}+3 a^{2} b \,d^{3} n^{3} x +21 a \,b^{2} d^{3} n^{2} x^{2}-3 b^{3} c \,d^{2} n^{2} x^{2}+11 b^{3} d^{3} n \,x^{3}+a^{3} d^{3} n^{3}+24 a^{2} b \,d^{3} n^{2} x -6 a \,b^{2} c \,d^{2} n^{2} x +42 a \,b^{2} d^{3} n \,x^{2}-9 b^{3} c \,d^{2} n \,x^{2}+6 b^{3} d^{3} x^{3}+9 a^{3} d^{3} n^{2}-3 a^{2} b c \,d^{2} n^{2}+57 a^{2} b \,d^{3} n x -30 a \,b^{2} c \,d^{2} n x +24 a \,b^{2} d^{3} x^{2}+6 b^{3} c^{2} d n x -6 b^{3} c \,d^{2} x^{2}+26 a^{3} d^{3} n -21 a^{2} b c \,d^{2} n +36 a^{2} b \,d^{3} x +6 a \,b^{2} c^{2} d n -24 a \,b^{2} c \,d^{2} x +6 b^{3} c^{2} d x +24 a^{3} d^{3}-36 a^{2} b c \,d^{2}+24 a \,b^{2} c^{2} d -6 b^{3} c^{3}\right) \left(d x +c \right)^{n +1}}{\left(n^{4}+10 n^{3}+35 n^{2}+50 n +24\right) d^{4}}"," ",0,"(d*x+c)^(n+1)*(b^3*d^3*n^3*x^3+3*a*b^2*d^3*n^3*x^2+6*b^3*d^3*n^2*x^3+3*a^2*b*d^3*n^3*x+21*a*b^2*d^3*n^2*x^2-3*b^3*c*d^2*n^2*x^2+11*b^3*d^3*n*x^3+a^3*d^3*n^3+24*a^2*b*d^3*n^2*x-6*a*b^2*c*d^2*n^2*x+42*a*b^2*d^3*n*x^2-9*b^3*c*d^2*n*x^2+6*b^3*d^3*x^3+9*a^3*d^3*n^2-3*a^2*b*c*d^2*n^2+57*a^2*b*d^3*n*x-30*a*b^2*c*d^2*n*x+24*a*b^2*d^3*x^2+6*b^3*c^2*d*n*x-6*b^3*c*d^2*x^2+26*a^3*d^3*n-21*a^2*b*c*d^2*n+36*a^2*b*d^3*x+6*a*b^2*c^2*d*n-24*a*b^2*c*d^2*x+6*b^3*c^2*d*x+24*a^3*d^3-36*a^2*b*c*d^2+24*a*b^2*c^2*d-6*b^3*c^3)/d^4/(n^4+10*n^3+35*n^2+50*n+24)","B"
1853,1,159,78,0.008000," ","int((b*x+a)^2*(d*x+c)^n,x)","\frac{\left(b^{2} d^{2} n^{2} x^{2}+2 a b \,d^{2} n^{2} x +3 b^{2} d^{2} n \,x^{2}+a^{2} d^{2} n^{2}+8 a b \,d^{2} n x -2 b^{2} c d n x +2 b^{2} x^{2} d^{2}+5 a^{2} d^{2} n -2 a b c d n +6 a b \,d^{2} x -2 b^{2} c d x +6 a^{2} d^{2}-6 a b c d +2 b^{2} c^{2}\right) \left(d x +c \right)^{n +1}}{\left(n^{3}+6 n^{2}+11 n +6\right) d^{3}}"," ",0,"(d*x+c)^(n+1)*(b^2*d^2*n^2*x^2+2*a*b*d^2*n^2*x+3*b^2*d^2*n*x^2+a^2*d^2*n^2+8*a*b*d^2*n*x-2*b^2*c*d*n*x+2*b^2*d^2*x^2+5*a^2*d^2*n-2*a*b*c*d*n+6*a*b*d^2*x-2*b^2*c*d*x+6*a^2*d^2-6*a*b*c*d+2*b^2*c^2)/d^3/(n^3+6*n^2+11*n+6)","B"
1854,1,46,47,0.003000," ","int((b*x+a)*(d*x+c)^n,x)","\frac{\left(b d n x +a d n +b d x +2 a d -b c \right) \left(d x +c \right)^{n +1}}{\left(n^{2}+3 n +2\right) d^{2}}"," ",0,"(d*x+c)^(n+1)*(b*d*n*x+a*d*n+b*d*x+2*a*d-b*c)/d^2/(n^2+3*n+2)","A"
1855,1,19,18,0.003000," ","int((d*x+c)^n,x)","\frac{\left(d x +c \right)^{n +1}}{\left(n +1\right) d}"," ",0,"(d*x+c)^(n+1)/d/(n+1)","A"
1856,0,0,53,0.092000," ","int((d*x+c)^n/(b*x+a),x)","\int \frac{\left(d x +c \right)^{n}}{b x +a}\, dx"," ",0,"int((d*x+c)^n/(b*x+a),x)","F"
1857,0,0,53,0.099000," ","int((d*x+c)^n/(b*x+a)^2,x)","\int \frac{\left(d x +c \right)^{n}}{\left(b x +a \right)^{2}}\, dx"," ",0,"int((d*x+c)^n/(b*x+a)^2,x)","F"
1858,0,0,56,0.096000," ","int((d*x+c)^n/(b*x+a)^3,x)","\int \frac{\left(d x +c \right)^{n}}{\left(b x +a \right)^{3}}\, dx"," ",0,"int((d*x+c)^n/(b*x+a)^3,x)","F"
1859,1,322,143,0.007000," ","int((b*x+a)^(-4+n)/((d*x+c)^n),x)","-\frac{\left(d x +c \right) \left(a^{2} d^{2} n^{2}-2 a b c d \,n^{2}-2 a b \,d^{2} n x +b^{2} c^{2} n^{2}+2 b^{2} c d n x +2 b^{2} x^{2} d^{2}-5 a^{2} d^{2} n +8 a b c d n +6 a b \,d^{2} x -3 b^{2} c^{2} n -2 b^{2} c d x +6 a^{2} d^{2}-6 a b c d +2 b^{2} c^{2}\right) \left(b x +a \right)^{n -3} \left(d x +c \right)^{-n}}{a^{3} d^{3} n^{3}-3 a^{2} b c \,d^{2} n^{3}+3 a \,b^{2} c^{2} d \,n^{3}-b^{3} c^{3} n^{3}-6 a^{3} d^{3} n^{2}+18 a^{2} b c \,d^{2} n^{2}-18 a \,b^{2} c^{2} d \,n^{2}+6 b^{3} c^{3} n^{2}+11 a^{3} d^{3} n -33 a^{2} b c \,d^{2} n +33 a \,b^{2} c^{2} d n -11 b^{3} c^{3} n -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)^(n-3)*(d*x+c)*(a^2*d^2*n^2-2*a*b*c*d*n^2-2*a*b*d^2*n*x+b^2*c^2*n^2+2*b^2*c*d*n*x+2*b^2*d^2*x^2-5*a^2*d^2*n+8*a*b*c*d*n+6*a*b*d^2*x-3*b^2*c^2*n-2*b^2*c*d*x+6*a^2*d^2-6*a*b*c*d+2*b^2*c^2)/(a^3*d^3*n^3-3*a^2*b*c*d^2*n^3+3*a*b^2*c^2*d*n^3-b^3*c^3*n^3-6*a^3*d^3*n^2+18*a^2*b*c*d^2*n^2-18*a*b^2*c^2*d*n^2+6*b^3*c^3*n^2+11*a^3*d^3*n-33*a^2*b*c*d^2*n+33*a*b^2*c^2*d*n-11*b^3*c^3*n-6*a^3*d^3+18*a^2*b*c*d^2-18*a*b^2*c^2*d+6*b^3*c^3)/((d*x+c)^n)","B"
1860,1,127,86,0.006000," ","int((b*x+a)^(n-3)/((d*x+c)^n),x)","-\frac{\left(d x +c \right) \left(a d n -b c n -b d x -2 a d +b c \right) \left(b x +a \right)^{n -2} \left(d x +c \right)^{-n}}{a^{2} d^{2} n^{2}-2 a b c d \,n^{2}+b^{2} c^{2} n^{2}-3 a^{2} d^{2} n +6 a b c d n -3 b^{2} c^{2} n +2 a^{2} d^{2}-4 a b c d +2 b^{2} c^{2}}"," ",0,"-(b*x+a)^(n-2)*(d*x+c)*(a*d*n-b*c*n-b*d*x-2*a*d+b*c)/(a^2*d^2*n^2-2*a*b*c*d*n^2+b^2*c^2*n^2-3*a^2*d^2*n+6*a*b*c*d*n-3*b^2*c^2*n+2*a^2*d^2-4*a*b*c*d+2*b^2*c^2)/((d*x+c)^n)","A"
1861,1,45,39,0.003000," ","int((b*x+a)^(n-2)/((d*x+c)^n),x)","-\frac{\left(d x +c \right) \left(b x +a \right)^{n -1} \left(d x +c \right)^{-n}}{a d n -b c n -a d +b c}"," ",0,"-(b*x+a)^(n-1)*(d*x+c)/(a*d*n-b*c*n-a*d+b*c)/((d*x+c)^n)","A"
1862,0,0,68,0.099000," ","int((b*x+a)^(n-1)/((d*x+c)^n),x)","\int \left(b x +a \right)^{n -1} \left(d x +c \right)^{-n}\, dx"," ",0,"int((b*x+a)^(n-1)/((d*x+c)^n),x)","F"
1863,0,0,74,0.098000," ","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"
1864,0,0,74,0.097000," ","int((b*x+a)^(n+1)/((d*x+c)^n),x)","\int \left(b x +a \right)^{n +1} \left(d x +c \right)^{-n}\, dx"," ",0,"int((b*x+a)^(n+1)/((d*x+c)^n),x)","F"
1865,0,0,74,0.094000," ","int((b*x+a)^(n+2)/((d*x+c)^n),x)","\int \left(b x +a \right)^{n +2} \left(d x +c \right)^{-n}\, dx"," ",0,"int((b*x+a)^(n+2)/((d*x+c)^n),x)","F"
1866,0,0,74,0.100000," ","int((d*x+c)^n/((b*x+a)^n),x)","\int \left(b x +a \right)^{-n} \left(d x +c \right)^{n}\, dx"," ",0,"int((d*x+c)^n/((b*x+a)^n),x)","F"
1867,0,0,77,0.093000," ","int((b*x+a)^(-1-n)*(d*x+c)^n,x)","\int \left(b x +a \right)^{-n -1} \left(d x +c \right)^{n}\, dx"," ",0,"int((b*x+a)^(-1-n)*(d*x+c)^n,x)","F"
1868,1,41,37,0.004000," ","int((b*x+a)^(-n-2)*(d*x+c)^n,x)","\frac{\left(b x +a \right)^{-n -1} \left(d x +c \right)^{n +1}}{a d n -b c n +a d -b c}"," ",0,"(b*x+a)^(-n-1)*(d*x+c)^(n+1)/(a*d*n-b*c*n+a*d-b*c)","A"
1869,1,123,80,0.004000," ","int((b*x+a)^(-3-n)*(d*x+c)^n,x)","\frac{\left(a d n -b c n +b d x +2 a d -b c \right) \left(b x +a \right)^{-n -2} \left(d x +c \right)^{n +1}}{a^{2} d^{2} n^{2}-2 a b c d \,n^{2}+b^{2} c^{2} n^{2}+3 a^{2} d^{2} n -6 a b c d n +3 b^{2} c^{2} n +2 a^{2} d^{2}-4 a b c d +2 b^{2} c^{2}}"," ",0,"(b*x+a)^(-n-2)*(d*x+c)^(n+1)*(a*d*n-b*c*n+b*d*x+2*a*d-b*c)/(a^2*d^2*n^2-2*a*b*c*d*n^2+b^2*c^2*n^2+3*a^2*d^2*n-6*a*b*c*d*n+3*b^2*c^2*n+2*a^2*d^2-4*a*b*c*d+2*b^2*c^2)","A"
1870,1,318,131,0.008000," ","int((b*x+a)^(-4-n)*(d*x+c)^n,x)","\frac{\left(a^{2} d^{2} n^{2}-2 a b c d \,n^{2}+2 a b \,d^{2} n x +b^{2} c^{2} n^{2}-2 b^{2} c d n x +2 b^{2} x^{2} d^{2}+5 a^{2} d^{2} n -8 a b c d n +6 a b \,d^{2} x +3 b^{2} c^{2} n -2 b^{2} c d x +6 a^{2} d^{2}-6 a b c d +2 b^{2} c^{2}\right) \left(b x +a \right)^{-n -3} \left(d x +c \right)^{n +1}}{a^{3} d^{3} n^{3}-3 a^{2} b c \,d^{2} n^{3}+3 a \,b^{2} c^{2} d \,n^{3}-b^{3} c^{3} n^{3}+6 a^{3} d^{3} n^{2}-18 a^{2} b c \,d^{2} n^{2}+18 a \,b^{2} c^{2} d \,n^{2}-6 b^{3} c^{3} n^{2}+11 a^{3} d^{3} n -33 a^{2} b c \,d^{2} n +33 a \,b^{2} c^{2} d n -11 b^{3} c^{3} n +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)^(-3-n)*(d*x+c)^(n+1)*(a^2*d^2*n^2-2*a*b*c*d*n^2+2*a*b*d^2*n*x+b^2*c^2*n^2-2*b^2*c*d*n*x+2*b^2*d^2*x^2+5*a^2*d^2*n-8*a*b*c*d*n+6*a*b*d^2*x+3*b^2*c^2*n-2*b^2*c*d*x+6*a^2*d^2-6*a*b*c*d+2*b^2*c^2)/(a^3*d^3*n^3-3*a^2*b*c*d^2*n^3+3*a*b^2*c^2*d*n^3-b^3*c^3*n^3+6*a^3*d^3*n^2-18*a^2*b*c*d^2*n^2+18*a*b^2*c^2*d*n^2-6*b^3*c^3*n^2+11*a^3*d^3*n-33*a^2*b*c*d^2*n+33*a*b^2*c^2*d*n-11*b^3*c^3*n+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"
1871,1,661,186,0.010000," ","int((b*x+a)^(-5-n)*(d*x+c)^n,x)","\frac{\left(a^{3} d^{3} n^{3}-3 a^{2} b c \,d^{2} n^{3}+3 a^{2} b \,d^{3} n^{2} x +3 a \,b^{2} c^{2} d \,n^{3}-6 a \,b^{2} c \,d^{2} n^{2} x +6 a \,b^{2} d^{3} n \,x^{2}-b^{3} c^{3} n^{3}+3 b^{3} c^{2} d \,n^{2} x -6 b^{3} c \,d^{2} n \,x^{2}+6 b^{3} d^{3} x^{3}+9 a^{3} d^{3} n^{2}-24 a^{2} b c \,d^{2} n^{2}+21 a^{2} b \,d^{3} n x +21 a \,b^{2} c^{2} d \,n^{2}-30 a \,b^{2} c \,d^{2} n x +24 a \,b^{2} d^{3} x^{2}-6 b^{3} c^{3} n^{2}+9 b^{3} c^{2} d n x -6 b^{3} c \,d^{2} x^{2}+26 a^{3} d^{3} n -57 a^{2} b c \,d^{2} n +36 a^{2} b \,d^{3} x +42 a \,b^{2} c^{2} d n -24 a \,b^{2} c \,d^{2} x -11 b^{3} c^{3} n +6 b^{3} c^{2} d x +24 a^{3} d^{3}-36 a^{2} b c \,d^{2}+24 a \,b^{2} c^{2} d -6 b^{3} c^{3}\right) \left(b x +a \right)^{-n -4} \left(d x +c \right)^{n +1}}{a^{4} d^{4} n^{4}-4 a^{3} b c \,d^{3} n^{4}+6 a^{2} b^{2} c^{2} d^{2} n^{4}-4 a \,b^{3} c^{3} d \,n^{4}+b^{4} c^{4} n^{4}+10 a^{4} d^{4} n^{3}-40 a^{3} b c \,d^{3} n^{3}+60 a^{2} b^{2} c^{2} d^{2} n^{3}-40 a \,b^{3} c^{3} d \,n^{3}+10 b^{4} c^{4} n^{3}+35 a^{4} d^{4} n^{2}-140 a^{3} b c \,d^{3} n^{2}+210 a^{2} b^{2} c^{2} d^{2} n^{2}-140 a \,b^{3} c^{3} d \,n^{2}+35 b^{4} c^{4} n^{2}+50 a^{4} d^{4} n -200 a^{3} b c \,d^{3} n +300 a^{2} b^{2} c^{2} d^{2} n -200 a \,b^{3} c^{3} d n +50 b^{4} c^{4} n +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)^(-4-n)*(d*x+c)^(n+1)*(a^3*d^3*n^3-3*a^2*b*c*d^2*n^3+3*a^2*b*d^3*n^2*x+3*a*b^2*c^2*d*n^3-6*a*b^2*c*d^2*n^2*x+6*a*b^2*d^3*n*x^2-b^3*c^3*n^3+3*b^3*c^2*d*n^2*x-6*b^3*c*d^2*n*x^2+6*b^3*d^3*x^3+9*a^3*d^3*n^2-24*a^2*b*c*d^2*n^2+21*a^2*b*d^3*n*x+21*a*b^2*c^2*d*n^2-30*a*b^2*c*d^2*n*x+24*a*b^2*d^3*x^2-6*b^3*c^3*n^2+9*b^3*c^2*d*n*x-6*b^3*c*d^2*x^2+26*a^3*d^3*n-57*a^2*b*c*d^2*n+36*a^2*b*d^3*x+42*a*b^2*c^2*d*n-24*a*b^2*c*d^2*x-11*b^3*c^3*n+6*b^3*c^2*d*x+24*a^3*d^3-36*a^2*b*c*d^2+24*a*b^2*c^2*d-6*b^3*c^3)/(a^4*d^4*n^4-4*a^3*b*c*d^3*n^4+6*a^2*b^2*c^2*d^2*n^4-4*a*b^3*c^3*d*n^4+b^4*c^4*n^4+10*a^4*d^4*n^3-40*a^3*b*c*d^3*n^3+60*a^2*b^2*c^2*d^2*n^3-40*a*b^3*c^3*d*n^3+10*b^4*c^4*n^3+35*a^4*d^4*n^2-140*a^3*b*c*d^3*n^2+210*a^2*b^2*c^2*d^2*n^2-140*a*b^3*c^3*d*n^2+35*b^4*c^4*n^2+50*a^4*d^4*n-200*a^3*b*c*d^3*n+300*a^2*b^2*c^2*d^2*n-200*a*b^3*c^3*d*n+50*b^4*c^4*n+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"
1872,0,0,74,0.000000," ","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"
1873,0,0,77,0.101000," ","int((b*x+a)^n*(d*x+c)^(-n-1),x)","\int \left(b x +a \right)^{n} \left(d x +c \right)^{-n -1}\, dx"," ",0,"int((b*x+a)^n*(d*x+c)^(-n-1),x)","F"
1874,1,42,36,0.005000," ","int((b*x+a)^n*(d*x+c)^(-n-2),x)","-\frac{\left(b x +a \right)^{n +1} \left(d x +c \right)^{-n -1}}{a d n -b c n +a d -b c}"," ",0,"-(b*x+a)^(n+1)*(d*x+c)^(-n-1)/(a*d*n-b*c*n+a*d-b*c)","A"
1875,1,124,79,0.005000," ","int((b*x+a)^n*(d*x+c)^(-n-3),x)","-\frac{\left(a d n -b c n -b d x +a d -2 b c \right) \left(b x +a \right)^{n +1} \left(d x +c \right)^{-n -2}}{a^{2} d^{2} n^{2}-2 a b c d \,n^{2}+b^{2} c^{2} n^{2}+3 a^{2} d^{2} n -6 a b c d n +3 b^{2} c^{2} n +2 a^{2} d^{2}-4 a b c d +2 b^{2} c^{2}}"," ",0,"-(b*x+a)^(n+1)*(d*x+c)^(-n-2)*(a*d*n-b*c*n-b*d*x+a*d-2*b*c)/(a^2*d^2*n^2-2*a*b*c*d*n^2+b^2*c^2*n^2+3*a^2*d^2*n-6*a*b*c*d*n+3*b^2*c^2*n+2*a^2*d^2-4*a*b*c*d+2*b^2*c^2)","A"
1876,1,319,130,0.007000," ","int((b*x+a)^n*(d*x+c)^(-n-4),x)","-\frac{\left(a^{2} d^{2} n^{2}-2 a b c d \,n^{2}-2 a b \,d^{2} n x +b^{2} c^{2} n^{2}+2 b^{2} c d n x +2 b^{2} x^{2} d^{2}+3 a^{2} d^{2} n -8 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(d x +c \right)^{-n -3}}{a^{3} d^{3} n^{3}-3 a^{2} b c \,d^{2} n^{3}+3 a \,b^{2} c^{2} d \,n^{3}-b^{3} c^{3} n^{3}+6 a^{3} d^{3} n^{2}-18 a^{2} b c \,d^{2} n^{2}+18 a \,b^{2} c^{2} d \,n^{2}-6 b^{3} c^{3} n^{2}+11 a^{3} d^{3} n -33 a^{2} b c \,d^{2} n +33 a \,b^{2} c^{2} d n -11 b^{3} c^{3} n +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)^(n+1)*(d*x+c)^(-n-3)*(a^2*d^2*n^2-2*a*b*c*d*n^2-2*a*b*d^2*n*x+b^2*c^2*n^2+2*b^2*c*d*n*x+2*b^2*d^2*x^2+3*a^2*d^2*n-8*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)/(a^3*d^3*n^3-3*a^2*b*c*d^2*n^3+3*a*b^2*c^2*d*n^3-b^3*c^3*n^3+6*a^3*d^3*n^2-18*a^2*b*c*d^2*n^2+18*a*b^2*c^2*d*n^2-6*b^3*c^3*n^2+11*a^3*d^3*n-33*a^2*b*c*d^2*n+33*a*b^2*c^2*d*n-11*b^3*c^3*n+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"
1877,1,662,185,0.009000," ","int((b*x+a)^n*(d*x+c)^(-5-n),x)","-\frac{\left(a^{3} d^{3} n^{3}-3 a^{2} b c \,d^{2} n^{3}-3 a^{2} b \,d^{3} n^{2} x +3 a \,b^{2} c^{2} d \,n^{3}+6 a \,b^{2} c \,d^{2} n^{2} x +6 a \,b^{2} d^{3} n \,x^{2}-b^{3} c^{3} n^{3}-3 b^{3} c^{2} d \,n^{2} x -6 b^{3} c \,d^{2} n \,x^{2}-6 b^{3} d^{3} x^{3}+6 a^{3} d^{3} n^{2}-21 a^{2} b c \,d^{2} n^{2}-9 a^{2} b \,d^{3} n x +24 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}-21 b^{3} c^{2} d n x -24 b^{3} c \,d^{2} x^{2}+11 a^{3} d^{3} n -42 a^{2} b c \,d^{2} n -6 a^{2} b \,d^{3} x +57 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(d x +c \right)^{-n -4}}{a^{4} d^{4} n^{4}-4 a^{3} b c \,d^{3} n^{4}+6 a^{2} b^{2} c^{2} d^{2} n^{4}-4 a \,b^{3} c^{3} d \,n^{4}+b^{4} c^{4} n^{4}+10 a^{4} d^{4} n^{3}-40 a^{3} b c \,d^{3} n^{3}+60 a^{2} b^{2} c^{2} d^{2} n^{3}-40 a \,b^{3} c^{3} d \,n^{3}+10 b^{4} c^{4} n^{3}+35 a^{4} d^{4} n^{2}-140 a^{3} b c \,d^{3} n^{2}+210 a^{2} b^{2} c^{2} d^{2} n^{2}-140 a \,b^{3} c^{3} d \,n^{2}+35 b^{4} c^{4} n^{2}+50 a^{4} d^{4} n -200 a^{3} b c \,d^{3} n +300 a^{2} b^{2} c^{2} d^{2} n -200 a \,b^{3} c^{3} d n +50 b^{4} c^{4} n +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)^(n+1)*(d*x+c)^(-n-4)*(a^3*d^3*n^3-3*a^2*b*c*d^2*n^3-3*a^2*b*d^3*n^2*x+3*a*b^2*c^2*d*n^3+6*a*b^2*c*d^2*n^2*x+6*a*b^2*d^3*n*x^2-b^3*c^3*n^3-3*b^3*c^2*d*n^2*x-6*b^3*c*d^2*n*x^2-6*b^3*d^3*x^3+6*a^3*d^3*n^2-21*a^2*b*c*d^2*n^2-9*a^2*b*d^3*n*x+24*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^2-21*b^3*c^2*d*n*x-24*b^3*c*d^2*x^2+11*a^3*d^3*n-42*a^2*b*c*d^2*n-6*a^2*b*d^3*x+57*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)/(a^4*d^4*n^4-4*a^3*b*c*d^3*n^4+6*a^2*b^2*c^2*d^2*n^4-4*a*b^3*c^3*d*n^4+b^4*c^4*n^4+10*a^4*d^4*n^3-40*a^3*b*c*d^3*n^3+60*a^2*b^2*c^2*d^2*n^3-40*a*b^3*c^3*d*n^3+10*b^4*c^4*n^3+35*a^4*d^4*n^2-140*a^3*b*c*d^3*n^2+210*a^2*b^2*c^2*d^2*n^2-140*a*b^3*c^3*d*n^2+35*b^4*c^4*n^2+50*a^4*d^4*n-200*a^3*b*c*d^3*n+300*a^2*b^2*c^2*d^2*n-200*a*b^3*c^3*d*n+50*b^4*c^4*n+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"
1878,0,0,85,0.099000," ","int((b*x+a)^(n-2)*(d*x+c)^(1-n),x)","\int \left(b x +a \right)^{n -2} \left(d x +c \right)^{-n +1}\, dx"," ",0,"int((b*x+a)^(n-2)*(d*x+c)^(1-n),x)","F"
1879,0,0,86,0.100000," ","int((b*x+a)^(n+1)*(d*x+c)^(-n-1),x)","\int \left(b x +a \right)^{n +1} \left(d x +c \right)^{-n -1}\, dx"," ",0,"int((b*x+a)^(n+1)*(d*x+c)^(-n-1),x)","F"
1880,0,0,53,0.000000," ","int(1/(d*x+c)*(b*x+a)^m,x)","\int \frac{\left(b x +a \right)^{m}}{d x +c}\, dx"," ",0,"int(1/(d*x+c)*(b*x+a)^m,x)","F"
1881,1,57,57,0.008000," ","int(1/(b*x+a)^2/(d*x+c),x)","-\frac{d \ln \left(b x +a \right)}{\left(a d -b c \right)^{2}}+\frac{d \ln \left(d x +c \right)}{\left(a d -b c \right)^{2}}+\frac{1}{\left(a d -b c \right) \left(b x +a \right)}"," ",0,"d/(a*d-b*c)^2*ln(d*x+c)+1/(a*d-b*c)/(b*x+a)-d/(a*d-b*c)^2*ln(b*x+a)","A"
1882,1,57,95,0.006000," ","int((b*x+a)^m*(a*c*(m+1)+b*c*(m+2)*x)^(-3-m),x)","\frac{\left(b x m +a m +2 b x +a \right) x \left(b x +a \right)^{m +1} \left(b c x m +a c m +2 b c x +a c \right)^{-m -3}}{\left(m +1\right) a^{2}}"," ",0,"(b*x+a)^(m+1)*(b*m*x+a*m+2*b*x+a)/a^2/(m+1)*x*(b*c*m*x+a*c*m+2*b*c*x+a*c)^(-3-m)","A"
1883,1,66,99,0.004000," ","int((b*x+a)^(-1-b*c/(-a*d+b*c))*(d*x+c)^(-1+a*d/(-a*d+b*c)),x)","\frac{x \left(b x +a \right)^{1-\frac{a d -2 b c}{a d -b c}} \left(d x +c \right)^{1-\frac{2 a d -b c}{a d -b c}}}{a c}"," ",0,"(b*x+a)^(1-(a*d-2*b*c)/(a*d-b*c))*(d*x+c)^(1-(2*a*d-b*c)/(a*d-b*c))/a/c*x","A"
1884,1,66,99,0.005000," ","int((b*x+a)^((a*d-2*b*c)/(-a*d+b*c))*(d*x+c)^((-2*a*d+b*c)/(a*d-b*c)),x)","\frac{x \left(b x +a \right)^{1-\frac{a d -2 b c}{a d -b c}} \left(d x +c \right)^{1-\frac{2 a d -b c}{a d -b c}}}{a c}"," ",0,"1/a/c*x*(b*x+a)^(1-(a*d-2*b*c)/(a*d-b*c))*(d*x+c)^(1-(2*a*d-b*c)/(a*d-b*c))","A"
1885,0,0,24,0.098000," ","int((-x+1)^n/(x+1)^(1/2),x)","\int \frac{\left(-x +1\right)^{n}}{\sqrt{x +1}}\, dx"," ",0,"int((-x+1)^n/(x+1)^(1/2),x)","F"
1886,0,0,27,0.094000," ","int((x+1)^n/(-x+1)^(1/2),x)","\int \frac{\left(x +1\right)^{n}}{\sqrt{-x +1}}\, dx"," ",0,"int((x+1)^n/(-x+1)^(1/2),x)","F"
1887,0,0,25,0.097000," ","int((-x+1)^n*(x+1)^(7/3),x)","\int \left(x +1\right)^{\frac{7}{3}} \left(-x +1\right)^{n}\, dx"," ",0,"int((-x+1)^n*(x+1)^(7/3),x)","F"
1888,0,0,27,0.104000," ","int((-x+1)^(7/3)*(x+1)^n,x)","\int \left(-x +1\right)^{\frac{7}{3}} \left(x +1\right)^{n}\, dx"," ",0,"int((-x+1)^(7/3)*(x+1)^n,x)","F"
1889,0,0,47,0.090000," ","int((3*x+2)^m/((2*x+1)^m),x)","\int \left(2 x +1\right)^{-m} \left(3 x +2\right)^{m}\, dx"," ",0,"int((3*x+2)^m/((2*x+1)^m),x)","F"
1890,0,0,47,0.147000," ","int((d*(b*x+a)/(a*d-b*c))^m*(d*x+c)^n,x)","\int \left(\frac{\left(b x +a \right) d}{a d -b c}\right)^{m} \left(d x +c \right)^{n}\, dx"," ",0,"int((d*(b*x+a)/(a*d-b*c))^m*(d*x+c)^n,x)","F"
1891,1,23,22,0.000000," ","int(d*x^3+c*x^2+b*x+a,x)","\frac{1}{4} d \,x^{4}+\frac{1}{3} c \,x^{3}+\frac{1}{2} b \,x^{2}+a x"," ",0,"a*x+1/2*b*x^2+1/3*c*x^3+1/4*d*x^4","A"
1892,1,12,11,0.000000," ","int(x^4-x^3,x)","\frac{1}{5} x^{5}-\frac{1}{4} x^{4}"," ",0,"-1/4*x^4+1/5*x^5","A"
1893,1,10,9,0.000000," ","int(x^5-1,x)","\frac{1}{6} x^{6}-x"," ",0,"-x+1/6*x^6","A"
1894,1,10,9,0.000000," ","int(7+4*x,x)","2 x^{2}+7 x"," ",0,"2*x^2+7*x","A"
1895,1,13,12,0.000000," ","int(Pi*x^3+4*x,x)","\frac{1}{4} \pi  \,x^{4}+2 x^{2}"," ",0,"2*x^2+1/4*Pi*x^4","A"
1896,1,10,9,0.001000," ","int(5*x^2+2*x,x)","\frac{5}{3} x^{3}+x^{2}"," ",0,"x^2+5/3*x^3","A"
1897,1,12,11,0.001000," ","int(1/2*x^2+1/3*x^3,x)","\frac{1}{12} x^{4}+\frac{1}{6} x^{3}"," ",0,"1/6*x^3+1/12*x^4","A"
1898,1,15,14,0.000000," ","int(2*x^2-5*x+3,x)","\frac{2}{3} x^{3}-\frac{5}{2} x^{2}+3 x"," ",0,"3*x-5/2*x^2+2/3*x^3","A"
1899,1,17,16,0.000000," ","int(x^3+x^2-2*x,x)","\frac{1}{4} x^{4}+\frac{1}{3} x^{3}-x^{2}"," ",0,"-x^2+1/3*x^3+1/4*x^4","A"
1900,1,13,12,0.000000," ","int(-3*x^5-x^2+1,x)","-\frac{1}{2} x^{6}-\frac{1}{3} x^{3}+x"," ",0,"x-1/3*x^3-1/2*x^6","A"
1901,1,14,13,0.000000," ","int(4*x^3+3*x^2+2*x+5,x)","x^{4}+x^{3}+x^{2}+5 x"," ",0,"x^4+x^3+x^2+5*x","A"
1902,1,21,20,0.002000," ","int(a+d/x^3+c/x^2+b/x,x)","a x +b \ln \left(x \right)-\frac{c}{x}-\frac{d}{2 x^{2}}"," ",0,"-1/2*d/x^2-c/x+a*x+b*ln(x)","A"
1903,1,17,16,0.001000," ","int(1/x^5+x+x^5,x)","\frac{x^{6}}{6}+\frac{x^{2}}{2}-\frac{1}{4 x^{4}}"," ",0,"-1/4/x^4+1/2*x^2+1/6*x^6","A"
1904,1,14,13,0.001000," ","int(1/x^3+1/x^2+1/x,x)","\ln \left(x \right)-\frac{1}{x}-\frac{1}{2 x^{2}}"," ",0,"-1/2/x^2-1/x+ln(x)","A"
1905,1,11,10,0.002000," ","int(-2/x^2+3/x,x)","3 \ln \left(x \right)+\frac{2}{x}"," ",0,"2/x+3*ln(x)","A"
1906,1,12,11,0.000000," ","int(-1/7/x^6+x^6,x)","\frac{x^{7}}{7}+\frac{1}{35 x^{5}}"," ",0,"1/35/x^5+1/7*x^7","A"
1907,1,10,9,0.001000," ","int(1+1/x+x,x)","\frac{x^{2}}{2}+x +\ln \left(x \right)"," ",0,"x+1/2*x^2+ln(x)","A"
1908,1,12,11,0.001000," ","int(-3/x^3+4/x^2,x)","-\frac{4}{x}+\frac{3}{2 x^{2}}"," ",0,"3/2/x^2-4/x","A"
1909,1,12,11,0.000000," ","int(1/x+2*x+x^2,x)","\frac{x^{3}}{3}+x^{2}+\ln \left(x \right)"," ",0,"x^2+1/3*x^3+ln(x)","A"
1910,1,12,11,0.001000," ","int(x^(5/6)-x^3,x)","-\frac{x^{4}}{4}+\frac{6 x^{\frac{11}{6}}}{11}"," ",0,"6/11*x^(11/6)-1/4*x^4","A"
1911,1,10,9,0.000000," ","int(33+x^(1/33),x)","\frac{33 x^{\frac{34}{33}}}{34}+33 x"," ",0,"33*x+33/34*x^(34/33)","A"
1912,1,11,9,0.003000," ","int(1/2/x^(1/2)+2*x^(1/2),x)","\frac{\left(4 x +3\right) \sqrt{x}}{3}"," ",0,"1/3*x^(1/2)*(4*x+3)","A"
1913,1,14,13,0.002000," ","int(-1/x^2+10/x+6*x^(1/2),x)","4 x^{\frac{3}{2}}+10 \ln \left(x \right)+\frac{1}{x}"," ",0,"1/x+4*x^(3/2)+10*ln(x)","A"
1914,1,11,11,0.003000," ","int(1/x^(3/2)+x^(3/2),x)","\frac{\frac{2 x^{3}}{5}-2}{\sqrt{x}}"," ",0,"2/5*(x^3-5)/x^(1/2)","A"
1915,1,9,11,0.003000," ","int(-5*x^(3/2)+7*x^(5/2),x)","2 \left(x -1\right) x^{\frac{5}{2}}"," ",0,"2*x^(5/2)*(x-1)","A"
1916,1,17,16,0.001000," ","int(-1/2*x+2/x^(1/2)+x^(1/2),x)","-\frac{x^{2}}{4}+\frac{2 x^{\frac{3}{2}}}{3}+4 \sqrt{x}"," ",0,"2/3*x^(3/2)-1/4*x^2+4*x^(1/2)","A"
1917,1,16,15,0.001000," ","int(-2/x+x^(3/2)+1/5*x^(1/2),x)","\frac{2 x^{\frac{5}{2}}}{5}+\frac{2 x^{\frac{3}{2}}}{15}-2 \ln \left(x \right)"," ",0,"2/15*x^(3/2)+2/5*x^(5/2)-2*ln(x)","A"